From dd51156174055aca1c6e300b13c4e556bcda2cc6 Mon Sep 17 00:00:00 2001 From: ThotDjehuty Date: Tue, 12 May 2026 16:07:42 +0200 Subject: [PATCH] docs(v2.0.0-alpha.4): enrich v2.0 notebooks with FR sandwich + real-world examples Each of the eight v2.0 companion notebooks (10_bsde through 17_generative_calibration) now follows the mandatory pedagogical sandwich structure: PRE markdown : theorem / model / pivot equation / what the cell verifies CODE cell : labelled prints + at least one matplotlib figure POST markdown: expected result, graph reading, conclusion Each notebook carries at least one concrete real-world example (heat plate, inverted pendulum, opinion polarization, collective decision, OU drift under Cauchy noise, mixture vs gaussian MMD, etc.) Generator script: scripts/enrich_v2_notebooks.py Doc plots refreshed via scripts/inject_doc_plots.py. --- .../block_08_fig_01.png | Bin 24389 -> 24368 bytes docs/source/algorithms/agent_based.rst | 4 + docs/source/algorithms/bsde.rst | 4 + .../generative_calibration_hooks.rst | 4 + docs/source/algorithms/mckean_vlasov.rst | 4 + docs/source/algorithms/pde.rst | 6 + .../algorithms/quadratic_impact_control.rst | 4 + docs/source/algorithms/robust_drift.rst | 4 + docs/source/algorithms/stochastic_control.rst | 6 + examples/notebooks/10_bsde.ipynb | 351 +++-- examples/notebooks/11_pde.ipynb | 347 +++-- .../notebooks/12_stochastic_control.ipynb | 359 +++-- examples/notebooks/13_quadratic_impact.ipynb | 254 +++- examples/notebooks/14_mckean_vlasov.ipynb | 279 ++-- examples/notebooks/15_agent_based.ipynb | 375 +++-- examples/notebooks/16_robust_drift.ipynb | 328 +++-- .../notebooks/17_generative_calibration.ipynb | 361 +++-- scripts/enrich_v2_notebooks.py | 1273 +++++++++++++++++ 18 files changed, 3083 insertions(+), 880 deletions(-) create mode 100644 scripts/enrich_v2_notebooks.py diff --git a/docs/source/_static/auto/algorithms__grid_search/block_08_fig_01.png 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a/docs/source/algorithms/agent_based.rst b/docs/source/algorithms/agent_based.rst index 4b8a1e1..8414b90 100644 --- a/docs/source/algorithms/agent_based.rst +++ b/docs/source/algorithms/agent_based.rst @@ -44,6 +44,8 @@ Generic interacting-agent simulator (`consensus_dynamics`) — linear bounded-co + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__agent_based/block_03_fig_01.png :align: center @@ -70,6 +72,8 @@ Generic interacting-agent simulator (`consensus_dynamics`) — linear bounded-co + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__agent_based/block_04_fig_01.png :align: center diff --git a/docs/source/algorithms/bsde.rst b/docs/source/algorithms/bsde.rst index bdffae7..192007a 100644 --- a/docs/source/algorithms/bsde.rst +++ b/docs/source/algorithms/bsde.rst @@ -52,6 +52,8 @@ With $a(t) \equiv -\rho$, $b = c = 0$ and $Y_T = 1$ the analytic deterministic s + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__bsde/block_03_fig_01.png :align: center @@ -90,6 +92,8 @@ Crank–Nicolson is second-order in `Δt`. + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__bsde/block_05_fig_01.png :align: center diff --git a/docs/source/algorithms/generative_calibration_hooks.rst b/docs/source/algorithms/generative_calibration_hooks.rst index 90dc110..bf47c2b 100644 --- a/docs/source/algorithms/generative_calibration_hooks.rst +++ b/docs/source/algorithms/generative_calibration_hooks.rst @@ -36,6 +36,8 @@ Maximum-Mean-Discrepancy distance with Gaussian kernel (`mmd_gaussian`). Self-d + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__generative_calibration_hooks/block_03_fig_01.png :align: center @@ -63,6 +65,8 @@ Bandwidth dependence + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__generative_calibration_hooks/block_04_fig_01.png :align: center diff --git a/docs/source/algorithms/mckean_vlasov.rst b/docs/source/algorithms/mckean_vlasov.rst index 2930956..a6bde62 100644 --- a/docs/source/algorithms/mckean_vlasov.rst +++ b/docs/source/algorithms/mckean_vlasov.rst @@ -45,6 +45,8 @@ Interacting-particle Euler scheme for $dX_t = θ(\bar X_t - X_t) dt + σ dW_t$ ( + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__mckean_vlasov/block_03_fig_01.png :align: center @@ -68,6 +70,8 @@ Interacting-particle Euler scheme for $dX_t = θ(\bar X_t - X_t) dt + σ dW_t$ ( + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__mckean_vlasov/block_04_fig_01.png :align: center diff --git a/docs/source/algorithms/pde.rst b/docs/source/algorithms/pde.rst index 6c8dd72..4edf4b3 100644 --- a/docs/source/algorithms/pde.rst +++ b/docs/source/algorithms/pde.rst @@ -51,6 +51,8 @@ $\partial_t m = \tfrac12 \partial_{xx} m$ with Gaussian initial density should r + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__pde/block_03_fig_01.png :align: center @@ -92,6 +94,8 @@ $-\Delta u = 2\pi^2 \sin(\pi x)\sin(\pi y)$ on the unit square with zero Dirichl + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__pde/block_05_fig_01.png :align: center @@ -128,6 +132,8 @@ Heat-only relaxation ($H = 0$, σ² > 0) preserves a constant value, while a qua + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__pde/block_07_fig_01.png :align: center diff --git a/docs/source/algorithms/quadratic_impact_control.rst b/docs/source/algorithms/quadratic_impact_control.rst index 199a67a..e1fbe71 100644 --- a/docs/source/algorithms/quadratic_impact_control.rst +++ b/docs/source/algorithms/quadratic_impact_control.rst @@ -45,6 +45,8 @@ $h'(t) = h(t)^2/γ - φ$ with $h(T) = A$. When $γ = φ = A = 1$ the right-hand + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__quadratic_impact_control/block_03_fig_01.png :align: center @@ -74,6 +76,8 @@ Vary $A$, fix $γ = 1$, $φ = 0.25$, $T = 1$. + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__quadratic_impact_control/block_04_fig_01.png :align: center diff --git a/docs/source/algorithms/robust_drift.rst b/docs/source/algorithms/robust_drift.rst index 24218f0..852efc5 100644 --- a/docs/source/algorithms/robust_drift.rst +++ b/docs/source/algorithms/robust_drift.rst @@ -47,6 +47,8 @@ Synthetic stationary process with 5 % outliers + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__robust_drift/block_03_fig_01.png :align: center @@ -85,6 +87,8 @@ Synthetic stationary process with 5 % outliers + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__robust_drift/block_05_fig_01.png :align: center diff --git a/docs/source/algorithms/stochastic_control.rst b/docs/source/algorithms/stochastic_control.rst index 0791256..dc6d957 100644 --- a/docs/source/algorithms/stochastic_control.rst +++ b/docs/source/algorithms/stochastic_control.rst @@ -46,6 +46,8 @@ Two modes; only mode 1 pays a unit reward. Free switching should give `V_0(0) = + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__stochastic_control/block_03_fig_01.png :align: center @@ -85,6 +87,8 @@ Closed-form Riccati for $a=q=0$, $b=r=s_T=1$, $T=1$ is $P(t) = 1/(1 + (T - t))$, + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__stochastic_control/block_05_fig_01.png :align: center @@ -117,6 +121,8 @@ Affine premium $δ_±(λ) = α_± + κ_± λ$. First-order condition: $\lambda^ + + .. AUTO-PLOT-BEGIN .. image:: ../_static/auto/algorithms__stochastic_control/block_06_fig_01.png :align: center diff --git a/examples/notebooks/10_bsde.ipynb b/examples/notebooks/10_bsde.ipynb index 4a163c3..8911602 100644 --- a/examples/notebooks/10_bsde.ipynb +++ b/examples/notebooks/10_bsde.ipynb @@ -2,24 +2,30 @@ "cells": [ { "cell_type": "markdown", - "id": "7b032b6b", + "id": "848441ca", "metadata": {}, "source": [ - "# 10 — BSDE θ-scheme\n", + "# 10 — BSDE θ-scheme (linear, constant coefficients)\n", "\n", - "Generic CPU-only Crank–Nicolson scheme for linear backward stochastic differential equations. Reference doc page: [bsde.rst](../../docs/source/algorithms/bsde.rst)." + "CPU-only Crank–Nicolson scheme for linear backward stochastic\n", + "differential equations. Doc page:\n", + "[bsde.rst](../../docs/source/algorithms/bsde.rst).\n", + "\n", + "Each computational cell is sandwiched between a *PRE* markdown\n", + "(theoretical reminder) and a *POST* markdown (expected result and\n", + "graph reading).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "9e253922", + "id": "d4d08da6", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:15:57.439545Z", - "iopub.status.busy": "2026-05-12T10:15:57.439220Z", - "iopub.status.idle": "2026-05-12T10:15:58.354185Z", - "shell.execute_reply": "2026-05-12T10:15:58.352587Z" + "iopub.execute_input": "2026-05-12T14:05:12.042844Z", + "iopub.status.busy": "2026-05-12T14:05:12.042527Z", + "iopub.status.idle": "2026-05-12T14:05:12.741162Z", + "shell.execute_reply": "2026-05-12T14:05:12.739594Z" } }, "outputs": [], @@ -27,30 +33,46 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", - "id": "afd86cb2", + "id": "ad34d21a", "metadata": {}, "source": [ - "## Exponential ground-truth check\n", + "## Cellule 1 — Vérification du schéma θ contre la solution analytique\n", "\n", - "With $a(t) \\equiv -\\rho$, $b = c = 0$ and $Y_T = 1$ the analytic deterministic solution is $Y_t = e^{-\\rho (T-t)}$." + "**Théorème (Pardoux-Peng 1990) — BSDE linéaire à coefficients constants.**\n", + "Pour $a$, $b$, $c$ déterministes constants et terminal $\\xi$, la\n", + "solution déterministe (lorsque $b = c = 0$) de\n", + "$$-dY_t = (a Y_t)\\,dt - Z_t\\,dW_t,\\qquad Y_T = \\xi$$\n", + "est $Y_t = \\xi e^{a(T-t)}$.\n", + "\n", + "**Équation pivot.**\n", + "$$Y_t = \\xi\\,e^{a(T-t)}.$$\n", + "\n", + "**Démonstration (esquisse).** En l'absence de bruit ($b = 0$) et de\n", + "forçage ($c = 0$), l'EDS rétrograde devient l'EDO $\\dot Y = -aY$\n", + "intégrée en $Y_t = \\xi e^{a(T-t)}$. $\\square$\n", + "\n", + "**Ce que la cellule vérifie.** Le schéma $\\theta = 0.5$ (Crank–Nicolson)\n", + "reproduit la décroissance exponentielle pour $a = -0.3$, $T = 1$.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "b2abb764", + "id": "62662239", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:15:58.357829Z", - "iopub.status.busy": "2026-05-12T10:15:58.357449Z", - "iopub.status.idle": "2026-05-12T10:15:58.364151Z", - "shell.execute_reply": "2026-05-12T10:15:58.363092Z" + "iopub.execute_input": "2026-05-12T14:05:12.744901Z", + "iopub.status.busy": "2026-05-12T14:05:12.744545Z", + "iopub.status.idle": "2026-05-12T14:05:13.157460Z", + "shell.execute_reply": "2026-05-12T14:05:13.155633Z" } }, "outputs": [ @@ -58,79 +80,84 @@ "name": "stdout", "output_type": "stream", "text": [ - "Y0 = 0.740818179010676 exp(-rho T) = 0.7408182206817179\n", - "max abs error = 4.167104183938619e-08\n" + "Y0 numérique = 0.740818\n", + "Y0 analytique = 0.740818\n", + "Erreur max sur la grille : 4.17e-08\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "rho = 0.3\n", - "T = 1.0\n", - "res = opt.linear_bsde_constant_coeffs(\n", - " a_const=-rho, b_const=0.0, c_const=0.0,\n", - " terminal=1.0, n_steps=200, t_horizon=T, theta=0.5,\n", - ")\n", + "rho, T, n = 0.3, 1.0, 200\n", + "res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5)\n", "tg = np.array(res['time_grid'])\n", "yg = np.array(res['y'])\n", "analytic = np.exp(-rho * (T - tg))\n", - "print('Y0 =', yg[0], ' exp(-rho T) =', analytic[0])\n", - "print('max abs error =', float(np.max(np.abs(yg - analytic))))\n" + "err = float(np.max(np.abs(yg - analytic)))\n", + "print(f\"Y0 numérique = {yg[0]:.6f}\")\n", + "print(f\"Y0 analytique = {analytic[0]:.6f}\")\n", + "print(f\"Erreur max sur la grille : {err:.2e}\")\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(tg, yg, lw=2, label='θ-scheme')\n", + "ax.plot(tg, analytic, '--', lw=1.5, label=r'$\\xi e^{-\\rho(T-t)}$')\n", + "ax.set_xlabel('t'); ax.set_ylabel(r'$Y_t$')\n", + "ax.set_title(\"BSDE linéaire — Crank–Nicolson vs analytique\")\n", + "ax.legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "a06e1e55", + "metadata": {}, + "source": [ + "**Résultat attendu.** $Y_0 \\approx 0.7408$, erreur max $< 10^{-3}$.\n", + "\n", + "**Lecture du graphique.** Les deux courbes se superposent visuellement.\n", + "\n", + "**Conclusion.** Le primitive `linear_bsde_constant_coeffs` est calibré\n", + "sur le test analytique exponentiel ; il est utilisé comme brique pour\n", + "les BSDE non-linéaires (cellule 3).\n" + ] + }, + { + "cell_type": "markdown", + "id": "54ed7d4f", + "metadata": {}, + "source": [ + "## Cellule 2 — Étude de convergence en $\\Delta t$\n", + "\n", + "**Théorème (Crank–Nicolson, ordre 2).** Pour une EDO linéaire\n", + "$\\dot y = -a y$, le schéma $\\theta = 1/2$ vérifie\n", + "$|y_n - y(t_n)| = O(\\Delta t^2)$.\n", + "\n", + "**Équation pivot.**\n", + "$$\\log\\,\\text{erreur}(n) \\;\\approx\\; -2\\log n + C.$$\n", + "\n", + "**Ce que la cellule vérifie.** On trace $|Y_0^{(n)} - e^{-\\rho T}|$\n", + "en log-log et on compare à la pente $-2$.\n" ] }, { "cell_type": "code", "execution_count": 3, - "id": "6d088c15", + "id": "025c2ffb", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:15:58.373282Z", - "iopub.status.busy": "2026-05-12T10:15:58.372923Z", - "iopub.status.idle": "2026-05-12T10:15:58.766339Z", - "shell.execute_reply": "2026-05-12T10:15:58.762616Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "ax.plot(tg, yg, label='θ-scheme', lw=2)\n", - "ax.plot(tg, analytic, '--', label='analytic exp(-ρ(T-t))')\n", - "ax.set_xlabel('t'); ax.set_ylabel('Y_t')\n", - "ax.set_title('Linear BSDE — Crank–Nicolson vs analytic')\n", - "ax.legend(); ax.grid(alpha=0.3)\n", - "fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "id": "8f7263bb", - "metadata": {}, - "source": [ - "## Convergence rate study\n", - "\n", - "Crank–Nicolson is second-order in `Δt`." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "ee119e84", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:15:58.776028Z", - "iopub.status.busy": "2026-05-12T10:15:58.775538Z", - "iopub.status.idle": "2026-05-12T10:15:58.792909Z", - "shell.execute_reply": "2026-05-12T10:15:58.789105Z" + "iopub.execute_input": "2026-05-12T14:05:13.161121Z", + "iopub.status.busy": "2026-05-12T14:05:13.160837Z", + "iopub.status.idle": "2026-05-12T14:05:13.731017Z", + "shell.execute_reply": "2026-05-12T14:05:13.729675Z" } }, "outputs": [ @@ -138,37 +165,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "[(25, np.float64(2.666998401679166e-06)), (50, np.float64(6.667396952320104e-07)), (100, np.float64(1.6668430979915883e-07)), (200, np.float64(4.167104183938619e-08)), (400, np.float64(1.0417760876180182e-08)), (800, np.float64(2.6044438827810268e-09))]\n" + "n = 25 -> erreur = 2.667e-06\n", + "n = 50 -> erreur = 6.667e-07\n", + "n = 100 -> erreur = 1.667e-07\n", + "n = 200 -> erreur = 4.167e-08\n", + "n = 400 -> erreur = 1.042e-08\n", + "n = 800 -> erreur = 2.604e-09\n" ] - } - ], - "source": [ - "errs = []\n", - "ns = [25, 50, 100, 200, 400, 800]\n", - "for n in ns:\n", - " r = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5)\n", - " errs.append(abs(r['y'][0] - np.exp(-rho * T)))\n", - "print(list(zip(ns, errs)))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "b5e30db2", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:15:58.804359Z", - "iopub.status.busy": "2026-05-12T10:15:58.799015Z", - "iopub.status.idle": "2026-05-12T10:15:59.662120Z", - "shell.execute_reply": "2026-05-12T10:15:59.660888Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -176,29 +185,145 @@ } ], "source": [ + "ns = [25, 50, 100, 200, 400, 800]\n", + "errs = []\n", + "for n in ns:\n", + " r = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5)\n", + " errs.append(abs(r['y'][0] - np.exp(-rho * T)))\n", + "for n, e in zip(ns, errs):\n", + " print(f\"n = {n:4d} -> erreur = {e:.3e}\")\n", + "\n", "fig, ax = plt.subplots()\n", - "ax.loglog(ns, errs, 'o-')\n", - "ax.loglog(ns, [errs[0] * (ns[0] / n) ** 2 for n in ns],\n", - " ':', label='O(Δt²) reference')\n", - "ax.set_xlabel('n_steps'); ax.set_ylabel('|Y0 − analytic|')\n", - "ax.set_title('Crank–Nicolson convergence'); ax.grid(which='both', alpha=0.3); ax.legend()\n", + "ax.loglog(ns, errs, 'o-', lw=2, label='erreur empirique')\n", + "ax.loglog(ns, [errs[0] * (ns[0] / n) ** 2 for n in ns], ':',\n", + " label=r'pente $-2$ (référence)')\n", + "ax.set_xlabel('n_steps'); ax.set_ylabel(r'$|Y_0 - e^{-\\rho T}|$')\n", + "ax.set_title(\"Convergence de Crank–Nicolson\")\n", + "ax.legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "771765c7", + "id": "e2586561", "metadata": {}, "source": [ - "**Verified against analytic ground truth:** `Y_t = exp(-ρ (T - t))` — relative error at `t = 0` below `1e-3` for `n_steps = 200`." + "**Résultat attendu.** Les points s'alignent sur la pente $-2$.\n", + "\n", + "**Lecture du graphique.** Parallélisme avec la droite pointillée.\n", + "\n", + "**Conclusion.** Précision $10^{-6}$ atteinte avec $n \\approx 800$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "f1586c1a", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : actualisation d'une espérance terminale\n", + "\n", + "**Modèle utilisé.** Pour un brownien $W_t$, la valeur actualisée\n", + "$$Y_t = \\mathbb{E}\\!\\left[e^{-\\rho(T-t)}\\,W_T^2\\,\\big|\\,\\mathcal{F}_t\\right]$$\n", + "satisfait l'EDP de Feynman–Kac\n", + "$\\partial_t u + \\tfrac{1}{2}\\partial_{xx} u - \\rho u = 0$,\n", + "$u(T, x) = x^2$.\n", + "\n", + "**Équation pivot (cas déterministe).** $\\mathbb{E}[W_T^2] = T$, donc\n", + "$$Y_0 = e^{-\\rho T}\\,T.$$\n", + "\n", + "**Ce que la cellule vérifie.** On compare le primitive `linear_bsde`\n", + "(avec terminal $\\xi = T$ — espérance déterministe de $W_T^2$) à une\n", + "simulation Monte Carlo de $10^4$ trajectoires.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "dcfe4109", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:05:13.735165Z", + "iopub.status.busy": "2026-05-12T14:05:13.734851Z", + "iopub.status.idle": "2026-05-12T14:05:14.271954Z", + "shell.execute_reply": "2026-05-12T14:05:14.270549Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Monte Carlo (M=10000) : Y0 = 0.738001\n", + "BSDE primitive : Y0 = 0.740818\n", + "Écart relatif : 0.38%\n" + ] + }, + { + "data": { + "image/png": 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s9/j3z65du2RAfvrpp5v0wfE6q6+EM4uYKigIXWjJkiV8+umnXHzxxVxzzTUBj1mt1hbzAjTOYe+sIbH3339/s+VBQUGAb2i6yWSiurqauLg4BgwYwObNm1vd5969e9m5cydXXXUVXq+X6upq/09GRgaZmZl8//33gG963wcffEBGRgZ33nlnk30pFO37U/Tpp58C8PDDDwfMzY+JieG2226jrq6OVatWtWtfx/eJfHSU0oQJE+jbt2/A+bjdbs455xx+/vln/9D+8PBwSkpKWLt2bbuO15yQkJCA6X4Al1xyCVlZWXz22Wd4vd6Ax6655hri4+MDylasWIHX6+X+++/HYDD4y4OCgrjvvvvweDz+O4lKpZLp06ezbt06XC4XAKtWrWL69OnMmTOHLVu2+O8er1q1irCwMMaMGRNwPIVCwV133RVQNnv2bMB3l7U1y5Ytw263c8MNN1BTUxPQx413VRtfMyd6vEsuuYSMjIwm9V0uF3l5eUDPPNeCIAhnqsYk7cdO6bJYLHz88cf07dvXnyIAuu+65EQNHz6cc889t9319Xq9/xrH5XJRW1tLdXW1/3Ps2HP63//+B8Bzzz3XZERJc9OpOoNGo/GPqHK73dTV1VFdXe1PE9BWnzenMW3GihUrWk3e/d5775GWlsaUKVMCnqv6+nouuugi8vLy/J/z77//PrIsc/311wfUra6u5qKLLsLr9fLjjz+22q7G66p777034Po7MjKyyejyjravNT/++CPl5eUsWLCAhoaGgH1NnToVg8HQ7Ovy/vvvb/E5v+222wLOYcSIEYSGhpKQkMCVV14ZUHfatGm4XC7/aK223H777QH7DgoKYsKECW2ea+NIxtWrV1NeXt6uYx3vRPtKODOIcXaC0EVeeuklHnroIaZPn87777/f5MPHYDDgcDia3dZut/vrnKyYmJgWV0BZt24djz32GBs2bGhycZGent7qfg8cOADAU089xVNPPdVsncYAQnV1NUajkenTp7c7SNWc3NxcAP80t2M1lh2fH6o5zfVJ4wfjunXrAqZaHq+6upqUlBSeeuopLrnkEqZPn05cXBxTpkxh5syZzJ8/v93TEPr27dts8HLQoEEcOHCAqqqqgGmS/fv3b1K3o30ya9YsPv/8czZv3szIkSPZtGkTzz33HLNmzcLtdrN27VrOO+88fw6P45N3JiYmNkkO2jjFo6amptXzbXzNHDv0/3gVFRUndbzjg1bN1e+J51oQBOFMdd5555GUlMR7773H008/jUaj4eOPP6ahoYGFCxcGXB9113XJiWruc7g1Ho+HpUuX8vbbb3Po0KEmN6SOzSN16NAhIiIims0n2pXeeOMNXnnlFfbu3dsk11N781wd66qrruLDDz/k6aef5oUXXmDs2LFMnTqVq666iiFDhvjrHThwAKvV2urncEVFBf379/c/t63lFDv++uF4jddCgwYNavLY4MGDm5R1pH2taWz7rbfeyq233trifo7X2n6bex1HRESQkpLSbDm0fY3W2r6joqLa3D41NZVFixbx+OOPk5iYyNChQ5k8eTIXX3yxP1DblhPtK+HMIAJXgtAFnn/+ee655x5mzpzJF1980WwAKjk5mUOHDuFwOJoELxoThScnJ590W1oKfm3fvp2ZM2eSkZHBk08+SUZGBgaDAUmS+Otf/9psMutjNV583XHHHVx00UXN1tHr9SfX+C7SXJ80ns/UqVN5+OGHW9y28QJm3Lhx5OTk8OOPP7J69WrWrl3LsmXLeOSRR1i3bh0DBw7slnZ31KxZswDfXa2GhgacTiezZs2iX79+9OnThx9//JGoqChMJhMzZ85ssn1rq9DIstzqsRv7+M033yQ1NbXZOomJiSd1vPbUPxWea0EQhNOFUqnkuuuu4/HHH+fzzz/niiuu4M0330SlUnHttdf663X3dUlrI5haStbd0c/he++9lxdffJHLL7+c+++/359suqSkhAULFjQJZHWl5s7ppZde4s4772TWrFm88sor/mTqbreb884774Tap9Fo+Pbbb/n111/5/vvvWb9+PS+88AJLlizh2Wef5Z577gF8z9eAAQP8C/Q0pzHQ1diOr776qsXZCicblDxeR9rX1n4AnnzyScaOHdtsneZuMLf2WmvpWudkrtHas4+2LF68mGuvvZZvv/2Wn3/+mU8//ZRXXnmFefPm8dlnn7U5avBE+0o4M4jAlSB0smeeeYYHHniAc889l88++6zFpWvHjh1LdnY2mzdvZurUqQGPbdy4kb59+7aYmP1YJzp0/P3338ftdvPtt982+bCvqalpc8ndY+8ENQZDWhIdHU1ERAS7du3C6/W2OuqqtfNpTMq6b98+xo0bF/BY44pDbSVubUlMTAzh4eEYjcY2z6eRwWDgoosu8l8gf/fdd5x33nk8/fTTAav2tOTIkSPNBi73799PaGhoq3f5Gh3bJ8dfQDXXJwMHDiQpKckfuEpKSvIHXmbOnOkPXEHbz2tHNb5mIiIiOn3fHdETz7UgCMKZ7Prrr+fJJ5/krbfeYsiQIf4k3cdOf+/O6xLAf411/EI4NpuNsrIyMjMz23VurXnnnXeYMmUKn3zySUB54wpwx2ocWVRQUNDizZ32iIyMbHakVOMI7ePbl5aWxvfffx9wbdY48uVkjBo1yr/IidFoZOLEiTz44IPccccdaDQa+vfvT1FREdOnT28z2Xb//v357rvvSEhI8O+zoxqvhfbv399khNW+ffuaPWZ729eaxtelTqfr0Wuf7pKamsrNN9/MzTffjNvtZsGCBbz//vusXbu2yeqTxzvT+kroGJHjShA60ZIlS3jggQe48MILWbFiRasXWY1LPz/33HMB5cuXLyc/P9//eFuCg4NPaCh34x2V4+/AvPbaa+0ahjtixAiGDh3KW2+91ewFjizLVFVVAb48Rb///e/Jzc3ln//8Z5O6x97Ra1zxsLlzuvTSSwFfPx+7TXV1Nf/6178IDw9vdpRQeygUCv7whz+wZ88e3nnnnWbrHNsvjed2rNGjRwPtH47d0NDQpD8+++wzDhw4wMUXX9yuaZWN9ZYuXeqfYgq+/GjPPvssSqWSefPmBWwzc+ZMtmzZwpdffhnQX7NmzWLfvn18+OGHJCQkNDuc/mRceeWV6HQ6Fi9e3GRpZvB9WWhrhabO0BPPtSAIwpksNTWV2bNn88MPP7Bo0SIAbrjhhoA63XldAjBgwACAJrmRnnvuuU4bCaVUKpucj8vlanYqY+OqyPfeey8ej6fJ48fup7VrvwEDBrBx48aAPKl2u73Z66/GPj/2fGVZ5rHHHmvttFpVXV3dpCwiIoKMjAycTqf/c/5Pf/oTRqORJ598stn9HPucN14TL1y40J+j81j19fUtpt9odPHFFyNJEkuXLg2oW1tby7/+9a8m9TvSPmj5OZkzZw5xcXE8++yzzeZ+crvdJ3Qd39vU19c3eW5UKpV/euex10tnel8JJ0aMuBKETvKvf/2Lhx56iLi4OC699NImd9eCg4P9SwCDL0gwf/58PvzwQ+bOncu8efPIy8vjhRdeYNCgQf6h1G0ZP348b731Fg8//DBZWVkoFArmzp3rT3DakksvvZTnn3+e8847j5tuugmDwcD69ev5/vvv6du3b4vD5BtJkuRfEnjUqFEsWLCAoUOH+hNArlixgmuuuYbFixcD8MQTT7BmzRruvPNOVq9ezbRp09BoNOzbt4+DBw/6k6oPGjSIkJAQXnnlFQwGA+Hh4cTGxnL22Wdz9tln88c//pH33nuPGTNmcMkll2A2m3nzzTeprKzk3Xff9Qe+TsSTTz7Jhg0bWLBgAStWrGDKlCkEBQVRWFjIqlWr0Ov1rF69GoCsrCzGjRvH2LFjSU5Opra21h8EOT4Rf0v69u3LkiVL/CPIDhw4wKuvvkpMTAxPPPFEu/aRmZnJQw89xOOPP8748eO5+uqr/cnH9+zZw5NPPtkkX8bMmTN59913OXz4cMBUuZkzZyJJEgcOHODqq69u1/E7Iikpiddff53rrruOAQMGcM0115CRkUFtbS3Z2dksX76cFStWtHlHrjN093MtCIJwprvxxhv5/vvv+eSTT0hOTm6S5Ly7r0vmz5/PQw89xI033si+ffuIi4tj7dq1bN++nejo6E455yuuuIJXX32Vyy+/nHPOOYfa2lref//9ZlMpXH755Vx99dW8//77jB07lksvvZTY2Fjy8vL45JNP2Lp1qz/x+fjx4/nxxx955pln6NOnD5IkcdVVVwHwl7/8hfnz5zN9+nT+9Kc/YTabeffdd5vNyXjFFVdw//33M2fOHC6//HKsViufffYZTqfzhM/5iSee4LvvvuPCCy8kPT0dlUrF2rVr+eabb7jwwgv9o7r/+te/smrVKhYvXsy6des455xziIyMpKioiA0bNpCbm+sfJTZmzBieeOIJ/u///o8hQ4Ywf/58kpOTqaysZM+ePXz++efs37+/1fxg/fr145577mHp0qVMmjSJ+fPn43Q6efPNN0lMTKSsrCygfkfa19pzYjAYeO+995g3bx5ZWVlce+21DBw4kIaGBo4cOcLy5ct5+umnWbBgwQn3eW+wevVqbrzxRi655BIGDBhAeHg4+/fv57XXXiMpKSlgBNWZ3lfCCer2dQwF4TTVuCxsSz/HL9ksy74ldZcsWSL369dP1mg0cnx8vHzTTTfJVVVV7T5uRUWFfOmll8oRERGyJEkyIOfl5cmy3PxS0cf64osv5DFjxsgGg0GOiIiQ586dK+/bt6/Z7VraV1FRkXzbbbfJGRkZskajkcPDw+WhQ4fKf/3rX5ssfV1fXy8/+OCDcv/+/f11x44dK7/yyisB9b7++mt55MiRslarlYGAZZY9Ho/84osvykOHDpW1Wq0cHBwsz5gxQ/7++++btK0j59HIarXKS5YskYcPHy7r9Xo5KChIzszMlK+++uqAYzz11FPytGnT5NjYWFmtVsvx8fHyueeeK69cubLFfR+rcfnonTt3yrNnz5aDg4PlkJAQed68efLhw4cD6ja3hPXx3nvvPXns2LGyXq+X9Xq9PG7cOPmDDz5otm5JSYn/dVlSUhLw2NChQ2VA/s9//tNku9b6jmaWNm6uTJZledOmTfLll18ux8XFyWq1Wo6Li5MnTJggP/744wFLmHfkeHl5eTIgL1q0qEnd5pZ9luXue64FQRAE3zVPbGysDMgPP/xws3W6+7pk69at8tSpU2WdTidHRETIV111lVxSUuL/jD5WS59prbFarfL9998vp6amyhqNRk5LS5MXLlwoHzhwoNnPLK/XK7/++uvyWWedJRsMBjkoKEgeOHCgfOedd8oOh8Nf79ChQ/Ls2bPlkJAQ/+f5sV544QU5PT1dVqvVct++feVnn31WXrVqVZNrCY/HIz/zzDNyv379ZK1WKycmJsq33HKLXFtb2+7P9eP7avXq1fLvfvc7OS0tTdbr9XJoaKg8bNgw+ZlnnpGtVmvAtm63W37llVfkcePGycHBwbJOp5PT0tLkSy+9VP7444+b9Od3330nn3/++XJUVJSsVqvlxMREecaMGfJzzz0n22y2Np8Pr9crv/DCC3JmZqasVqvltLQ0+bHHHpN/+OGHZq+zOtK+tp6TAwcOyNdcc42cnJwsq9VqOTo6Wh49erS8cOFCubCw0F+v8ftEc1q6npHlps9Da9u0t6y1Nh1flpubK998883yoEGD5NDQUFmv18uZmZnyHXfcIRcVFQVs21l9JZxZJFluZ6Y2QRDOaJMnT6a8vJycnJyeboogCIIgCIIgCIJwhhA5rgRBaJfS0lJiY2N7uhmCIAiCIAiCIAjCGUTkuBIEoVVffvkl33//PXl5eQHLVguCIAiCIAiCIAhCVxNTBQVBaNXIkSOprKzk8ssv55lnnmlzOWpBEARBEARBEARB6CwicCUIgiAIgiAIgiAIgiD0SiLHlSAIgiAIgiAIgiAIgtAricCVIAiCIAiCIAiCIAiC0CuJwJUgCIIgCIIgCIIgCILQK4lVBTuJ3W5nz549xMTEoFKJbhUEQRCE05nb7aaqqoqhQ4eKRSs6kbieEgRBEIQzQ0eupcQVQSfZs2cPY8eO7elmCIIgCILQjbZs2cJZZ53V0804bYjrKUEQBEE4s7TnWuq0CVzl5OSwdOlSNm3axN69exk4cCB79+5tc7u0tDQKCgqalNtstg7dQY2JiQF8nZ6QkND+hreTx+OhpqaGqKgolEplp+9fCCT6u/uJPu9eor+7n+jz7teVfV5WVsbYsWP9n/9C5+jK6ynxHuxeor+7n+jz7if6vHuJ/u5+veVa6rQJXO3bt4+vv/6acePG4fV68Xq97d728ssv55577gko02q1HTp+43D2hIQEkpOTO7Rte3g8HrRaLTExMeJN2g1Ef3c/0efdS/R39xN93v26o8/FdLbO1ZXXU+I92L1Ef3c/0efdT/R59xL93f16y7XUaXO1NXfuXObNmwfAggUL2LZtW7u3jYuLY/z48V3VNEEQBEEQBEEQBEEQBOEEnDarCioUp82pCIIgCIIgCIIgCIIgCJxGgauT8f7776PVagkODub8889nz549Pd0kQRAEQRAEQRAEQRCEM95pM1XwRF100UWMGzeOPn36kJuby5NPPsnkyZPZsWMHGRkZLW5nMpkwmUz+38vKygDfHFCPx9Pp7fR4PHi93i7Zt9CU6O/uJ/q8e4n+7n6iz7tfV/a5eB4FQRAEQRC6xxkfuPrHP/7h//+UKVM455xzGDhwIEuXLuWVV15pcbvnn3+eRx99tEl5TU1NhxO7t4fX66W+vh4Q0yK7g+jv7if6vHuJ/u5+os+7X1f2eU1NTafuT2gfWZaprq7Gbrd3OHgoyzJ2ux2bzYYkSV3UQqGR6O/u11v6XKFQoFarCQ0NJSgoqMfaIQjC6eOMD1wdLyEhgcmTJ7N9+/ZW6919993ccMMN/t8bl3KMiorqkqWxGy/OoqOjxQoK3UD0d/cTfd69RH93P9Hn3a8r+9zhcHTq/oS2ybJMSUkJDQ0NaDSaDj+nkiSh1WpFEKWbiP7ufr2lz91uNzabjbq6OkJCQkhMTBQ3bARBOCkicHWCQkNDCQ0NbVKuVCq77AuJQqHo0v0LgUR/dz/R591L9Hf3E33e/bqqz0+15zAnJ4elS5eyadMm9u7dy8CBA9m7d2+b28myzDPPPMMrr7xCVVUVI0aM4IUXXmiyGnNpaSl33HEHK1euRK1Wc+mll/L88883e610oqqrq2loaCA2NpaoqKgOby/LMm63G5VK1eNf7M8Eor+7X2/qc6/XS3V1NTU1NdTV1REZGdmj7REE4dQmQt/HKS0tZf369Zx11lk93RRBEARBEIROsW/fPr7++msyMzMZNGhQu7d75plnWLRoEXfddRdfffUVCQkJnHPOOeTm5vrruFwu5syZw6FDh/jggw949dVX+f777/n973/fqedgt9vRaDQnFLQSBKF7KRQKYmJiUKvVmM3mnm6OIAinuNNmxJXVauWbb74BoKCgAJPJxLJlywCYNm0aMTExzJw5k4KCAnJycgD48MMP+eqrrzj//PNJTEwkNzeXp556CqVSyT333NNj5yIIgiAIgtCZ5s6dy7x58wBYsGAB27Zta3Mbu93OU089xT333MNdd90F+PKB9u/fPyAX6LJly9i3bx8HDhxgwIABAERERDBnzhy2bNnC2LFjO+UcPB7PKTfSTRDOZJIkoVKp8Hq9Pd0UQRBOcadN4KqyspIrrrgioKzx99WrVzN9+nQ8Hg9ut9v/eHp6OqWlpdx5553U1dURHh7O2WefzWOPPUZ6enq3tl8QBEEQBKGrnEh+mQ0bNmAymbjyyiv9ZRqNhksvvZTly5f7y7799luGDRvmD1oBzJ49m8jISL755ptOC1wJgiAIgnBmOm0CV2lpaciy3GqdNWvWBPw+fvx4Vq9e3YWtEgRBEAShJ8iy3OZ1gdC67OxsAAYOHBhQnpWVRWFhITabDb1eT3Z2dpM6kiQxcOBA/z4EQRAEQTj12PfuxVVaBufM7tF2nDaBK0EQBEEQhEbu8nJMq1fjTumDHBUFYopZhxmNRrRaLTqdLqA8IiICWZYxGo3o9XqMRiPh4eFNto+IiKC2trbVY5hMJkwmk//3srIywDctsHFVyEayLCNJ0gkHJBuDmb0loLl48WIee+wx/+9arZb09HQWLFjAvffe6x8lt2nTJh577DF27NhBfX09cXFxjBkzhnvvvZdx48Y12ZckSYSEhNCnTx+mTp3KbbfdRlZWVsCxZ8yYwdq1a5tt14YNG5ok3z8Rva2/zwS9tc9lWW7yfj5deDwevF7vaXt+vY3o7+4jyzL1H39M5dPPIAUF4RgyGG1iYqceoyPPowhcCYIgAK7SUiS9HlVERE83RRCETmDbtQt3dTXu+nqYcPJfwoWu8fzzz/Poo482Ka+pqUGr1QaU2e12tFptQNqHjjj2y3NPr7gGvlXX9Ho9K1euBMBms7FmzRoWLlyI2+3mb3/7Gxs2bGDWrFmcc845vPzyy4SGhpKTk8MXX3zBpk2bGD16dLP7amhoYO/evbz55pu8+eabvP7661x99dX+Y8uyzMSJE3nmmWeatGvgwIEn3MfH6m39fSbojX3u9XpxOBxUVVX1dFO6hNfrpb6+HjixKdlCx4j+7h6y1YbluaW4Vv3k+72ujpIHFhLy3NJOPU5NTU2764rAlSAIZzRZlrFu3Ih1+69IGg2Rf7gaRVBQTzdLEIST4GlowHHkCACqrEG95gvcqSYiIgKHw4Hdbg8YdWU0GpEkiYijgf6IiAj/F4ljGY1GUlJSWj3G3XffzQ033OD/vaysjLFjxxIVFUVMTExAXZvN5k/2fCIaR6GoVKpe8ZpQKBQoFAomTZrkL5s1axb79+/n888/58EHH+SNN94gLS2Nzz//3J+Yfvbs2dxyyy14vV7/F7fm9nXuuedy++23c+GFF/LnP/+ZKVOmkJGRAeB//o6t39l6W3+fCXpjnysUCnQ6XZP38+miMVAYHR0tFo/oBqK/u54jJ4eyu+7ClZvnL1MkJRH/wP0YOvl97HA42l1XBK4EQThjyR4PDT/9hCP7oO93pxPrtm0ET5vWwy0TBOFk2PfsAa+MQqtD2Tejp5tzymrMW3Xw4EGGDx/uL8/OzqZPnz7o9Xp/vT179gRsK8syBw8eZPbs1nNihIaGEhoa2qRcqVQ2+VLS+EX8ZL6QS5Lk/+lpLZ1PSEgILpcLSZIwGo3ExsY2G6w7tn9a2pder+ef//wngwcP5q233mLJkiXNtqGr9Kb+PlP0xj6XJOm0DjIoFIpm/2YJXUP0d9ep//xzyhY/imyz+cuCzzkH1V//giEtrdP7vCP7E+PrBEE4I3mdTkxffeUPWinDfF+cbPv24Wlm5IAgCKcG2enEtm8fANpBWUhqdQ+36NQ1ceJEQkND+eSTT/xlLpeL5cuXc/755/vLzjvvPHbt2sXhw4f9ZatWraKmpiagntA8t9uN2+2moaGBL774gk8//ZTLL78cgNGjR7NhwwYefvjhE050P2jQIJKSkti4cWNAuSzL/mM3/oi8MYIgCGcer8NB2SOLKL3/gd+CVioVcQ8+SMLzzyH1gtkoYsSVIAhnHI/Zgumrr3AfzbegHzUSw1lnYXzvPbxWG5bNmwk955webqUgCCfCfvAQst0BCgnd0KFY7faeblKvYLVa+eabbwAoKCjAZDKxbNkyAKZNm0ZMTAwzZ86koKCAnJwcAHQ6HQsXLmTx4sXExMQwdOhQXnnlFWpqarj33nv9+7788stZsmQJl112GUuWLMFqtXLvvfdywQUXMHbs2C49L1mWkV2u9td1u/F6vV0yGkVSqzu8X4vFgvq44Orvfvc7HnjgAQDuu+8+Nm3axBNPPMETTzxBZGQk5557LjfffDNTpkxp93FSUlIoLy8PKPvmm2+aHFupVHZKfitBEATh1OAsLKT4zjtx7D/gL1MlJJD8wvPoR4zoNTc0ROBKEIQzittoxPTFF3hMDSBJBE+ehH7ECAAMY8ZgXvczjkOHcY8cieo0zccgCO3ltNuwmUyExsT2qmknLZFlGdvuXQBo+/ZFGRICInAFQGVlJVdccUVAWePvq1evZvr06Xg8niZBi/vvvx9Zllm6dClVVVWMGDGC77//3p8rCUCtVvPdd9/xl7/8hfnz56NSqbj00kt54YUXuvy8ZJeLg8OGt12xGwzYvQtJo+nQNnq9nnXr1gG+XB/bt2/nkUce4cYbb+Q///kPISEhrFy5ki1btvD111+zfv16PvnkEz788EP+/e9/B+QHa03jiozHmjx5cpPn6FR4nwuCIAido+HHHyld+CDehgZ/WdDkySQ++/det2CVCFwJgnDGcJWVUf/VV77RGEoFobNno+3Xz/+4bvBgbDt34jE1YNm0ibC5c3uwtYLQc7xeD2WHD1G8fw8et4s+Q0eQPHBwTzerTa6iIjy1RgD0w4b1cGt6l7S0NH/i5pasWbOmSZkkSSxcuJCFCxe2um1SUhKffvrpyTTxjKRQKBgzZoz/90mTJuF2u7nnnnu4++67GTJkCABjx471j17Ly8tj2rRp3H///e0OXBUXF9O/f/+AsrCwsIBjC4IgCGcG2eWi8vkXqP3vf38rVCiIueN2ov78Z6ReuGJj72uRIAhCF3Dk5lK/YgWy3YGk1RJ20byAoBWApFJhGD8eAGd+Aa6Skp5oqiD0KFNVJbt/+I6C3b/icfumYJUePIC7ndOxepJtl2+0lSo2FlVCQg+3RhBOTFZWFgD7juZqO156ejpXXHEFtbW1VFRUtLm/ffv2UVJSwsSJEzu1nYIgCMKpx1VRQcE1CwKCVsqoKPr85y2ib7mlVwatQIy4EgThDGDbswfz2nUgyyiCgwm7aC6qqKhm62r79cP266+4q2uwbNxI2GWXiakTwhnBabdRsHsHVQW/LX8cnZJKTUkRbqeD8iOHevWoK7fRiDO/AAD9iOHifXuGkNRqBhydHtoWWZbxuN0oVaouy3HVGfbu3Qv4lnuvqKggLi6uSZ1Dhw6h1WoJDw9vdV92u5077rgDrVbb7tFZgiAIwunJsmEDJffeh6e21l+mHzOapOeeRx0X24Mta5sIXAmCcNqSZRnr5s1Yt24DQBkVSdhFF6EMDm5xG0mhwDB+PKavvsZVVo4zLw/tMblcBOF0I3u9VOTmULB3Fx6XEwBDaDgZo84iNCaWI9s3U5GbQ+nBAyRk9kep6p2r9Nl37wZAYTCgzczs4dYI3UWSpHbnlZJlGa9CgaKLAlcnwuv1smnTJgCcTifbt2/niSeeYNCgQUydOpXLLrsMt9vNZZddRr9+/fxJ9b/66ivuvPNOtFpts/sym83s2bOHf//73+Tm5vL222+TlpYWcOy6ujp//WNlZmYSHR3ddSctCIIgdCvZ46H6X69Q/eqrcEzagKgbrifmzjuRVL0/LNT7WygIgnACZFnGsm4dtt17AFAnJRF6wfkojrnIb4kmLQ11YgKu0jIsGzeiSUvrtcNmhTOHx+0m+5e1WOvr0Oj1aHR6NAaD71+9wVd29F+VRtuuL+YNtdXk/boNs7EGAKVKTfKgoST0649CoQQgacBgKvNyj466yiFpQFaXnueJ8Doc2A9kA6AbOgRJqezhFglC+9hsNiZMmACASqUiJSWFP/zhDyxatAi1Ws1tt93Gu+++y5IlSygrK8NgMNC3b1/eeustrrnmmhb3FRwcTFpaGjNnzuSzzz5j4MCBTY79yy+/+Osf67333uMPf/hDF5ytIAiC0N3cVVWU3Pc3rMfcqFCEhpL49FOEnH12D7asY0TgShCE047s8dCwahWOg4cA0PbNIOScc9p9N0GSJIImTKDu0+V4ao04Dh5El9W5X9Y99fV4GhrQJCd36n6F01d1UQH1lb7l7F0OOxaMLdaVJN+oEoVSiVKpRFIqUSpVSErF0X+V4PViLC8DfHfeopJTSRs+Cq3BELAvXXAwManpVOYfofTQAeL79kPZy+7M2fftR3a5kFRK9EeTWQtCb7d48WIWL17cap05c+YwZ86cTtnXsZpLxC8IgiCcXiybNlNy3714qqr9ZbrBg0l68QU0KSk92LKO611XnoIgCCdJdrkwffc9zvx8AHRZAwk+++wOj5hSJyaiSU/HmZeHZfNmtP36dcowWtnrxbZjB5bNm8HjJWTWzE4PigmnH1mWKc85CEBIVAzhcfE47TacNhtOmxWnzYbLYT+mvhePy4nHBW2lVNcFh5Ixcgzh8S0nM0/KGkxlfi4uu43KvCMk9BvQGafVKWSvF/se3zRBbf/+KI4LvAmCIAiCIJxJZI+H6tdfp/rlf4HX6y+PuPpqYu//G4p2TrHvTUTgShCE04bX6fTlpjq6GqB+xHCCJk8+4VwmQePH4czPx9tgxr53L/oRI06qfW6jkYYff8Rd/tsqUNatW9EOGCCmIgqtaqipwlLnG2HVZ8gwwmLjm9Txej1HA1k2XHY7Xo8br8eD1+PB43Ejezx4PJ6Af4MiIojv2x9FG1Pr9MEhxPRJo6owj5LsfcRlZLa5TXdx5uXhMTUAoB82rIdbIwiCIAiC0HPcNTWU3vc3LBs2+MsUwcEkPPEEoee2PYK3txKBK0EQTgteq5X6L7/CXVkJgGHcWAxnnXVSCXhV0dFoB/THkX0Q67ZtaAcNOqE7FLIsY9+9G8vGjcguN4B/NJen3oTjcA66Af1PuJ3C6a88xzftVR8aRmhM0xXGABQKJbqgYHRBLS8+cDKSsgZTVZiP8+ioq/jM3vGate30rSinTkpCFRPTw60RBEEQBEHoGdatWym5517/9yEAbVYWyS++gCY1tQdbdvLELX5BEE55HrOZuuWf+f9IB0+dQtDYsZ2yalTQuHGgVOC12bH9uqPjbTOZqF/xOeZ1PyO73CgMekIvOJ+wCy9Ak+b7ALFu34Z8zAofgnAsp81KTXERAAl9+/fYamiG0DCiU/oAUHJwP16vp9OP4fV4qa+y4nK0b9+uykpcpaWAb4SlIAiCIAjCmUb2eql+/d8UXLMgIGgVPv8q0j768JQPWoEYcSUIwinObTRS//nneBvMoJAImTUL3YDOy7+jDA1FP3Qotp27sO3ciX7oEBRBQW1uJ8sy9v37saz/BdnpBECb2Zfg6dNR6PUAGEaPxplfgKemFmdeHtqMjE5rt3D6KD+Sgyx7UarUxKSl92hbkgYOprqoAIfVQlV+HnEZmZ2277oKKwX7anBYXARH6hg0KbHNbey7fbmtlGGhaNLSOq0tgiAIgiAIpwK30Ujp3+7H8vPP/jKFwUD8448RdsEFPdiyziVGXAmCcMpyV1VRv3w53gYzkkpJ6Hnnd2rQqpFh9GgktRrZ5cK6fXub9T1mC6avvsb802pkpxNJpyXknHMIOfdcf9AKfAng1Ym+L+fWbWLUldCU1+uhIi8HgNj0vihV6h5tT1B4BJFJvlVoSrL3dcqoK7vFxeGtFRzaUo7D4kslb661YzM7W93Oa7FgP+SbQqkbOlTkiRMEQRAE4Yxi/fVX8i65NCBopR0wgLRPl51WQSsQI64EQThFecxm6lasQLY7kNRqQi+8AE1ycpccS2EwoB85EuuWLdj27sXT0ABuN7Lbg+x2I7td4PEgu3wJsGWXE7y+IJQmLZXgGWejDG5+lJZhzGjqvyjFXVGJq7i4R5em9ZjNOLKzAdCPGNEpqygKJ6emuAiX3QZAfN9+Pdwan+SsIdSWFGG3mKkuLCA27cRGCno8Xspz6ik7UofX43u/BIVrcVjduJ0ejGUW9P1aziln27sPPF4ktRrdoEEn1AZBEARBEIRTjez1Uvuf/1D5wovg+e0mYvgVVxD30IModLqea1wXEd9KBEE4JVnWr/cFrTQawi6+GHVcbJceTz9yBPa9e/BabThz89qsL6nVBE2ZjG7QoFZzEqn79EEVG4u7shLr1m3dHriSZRlnYSH2vXtx5OX5A26OnBxC5sxBFRHRre0RApUdPghARHwi+pDQHm6NT3BEJBGJyRhLiyk+sI+YPmkdGu0kyzJ1FVYK99XisPpGWKk0SlKyIokIlzm4fDMWk5IKczUxwSmooqKQjlsUQXa7se/dC4BuUBYKrbbzTlAQBEEQBKGXchuNlD2wEPPatf4yyWAg4dHFhM2d24Mt61oicCUIwinHWViI47Bv+lTQxAldHrQCUGg0hJ57LvYDB0ChQFIqQaVCUqmRVErf6CSlCkmtQlKpUMfHtysXliRJGMaMxvTNt7hKSnCVlaFOSOjy8/HabLj37KGutBTZ1PBbe45OiXRXVVP38ccET52KNiurxxKCn8nMtTWYa6sBes0Kfo2SswZjLC3GbjZRXVxITJ+0dm1nN7so2FdDfaXVVyBJxKaGkDwgAgUe6pYtQ1/dgLs+nLqqKirKt6FVyyjDw1FFR6OKiUYVHY2nrg6v1QqShG7o0K47UUEQBEEQhF7CtnMnxXffjbu0zF+m7ZdJ0ksvnfa5ckXgShCEU4rsdmNeuw4AVWwsusGDu+3Y6qQk1ElJnb5fTUYGysgIPLVGrNu2Ezb3wg5t7zGbcZWUImnUKLRaJJ0OSaNFodUgqX/LiSTLMu6yMmx792I/nIPLZEIdZEAhKXx9OWQwun79cJWV0fDjj3itNhpW/YSzsIjgGdPFqJZuVnbkaP6m4BDC49tOVN6dQiKjCY9PpK68lOIDe4lOSW0zuFlV2ED+nmrko6P6giN1pA6JIihMi+z1Yvp6JZ6aWoK0EpqwYFwWGyaHlhiVDY/RiMdoxHH4cMA+NampYlSgIAiCIAinNVmWqX37HSqfew7cbn952KWXEv/w/wXk0D1diUymgiCcUmw7duCpqwNJInj6tNMiIbMkSRhGjwbAmZ+Pu6qq3du6Skow/u9/NKxciemrr6n7dDnG9z+g9r//pfq116l+9VVq3voPtf97H+N7/6Pu0+U4Dh5C9rhBpUKXlUX4lVcS8bsr0Q8ejKTRoElNJeKqq9D08U1bdBw+TN3HH+MqL++S8xeactnt1BQWAL7cVr1xxFty1hAAbKZ6Sg/l4rC5W6zr9coU7KtB9sqotSoyRsaSNTGBoDBfMNTyywac+fkAhEyaSMKssehHjcIzejqhF1yAYdxYtH0zUIYdM11SktCPHNll5ycIXWnx4sVIkkRSUhJer7fJ45MmTUKSJBYsWNAlx1+zZg1Llizp9P1WVVVxzz330L9/f/R6PVFRUUyfPp233noLj+fkF3MAmD59Ohde2LEbPMd7++23kSSJtcdMtWn0zTffIEkSK1as8Je99dZb9O/fH51Ox/Dhw/nqq69O6vgd9eWXXzJ8+HB0Oh39+/fnv//9b5vbNL7Gmvu5+eab/fXeeecdxo8fT2RkJDqdjgEDBvD444/jcDgC9me1Wlm4cCEZGRkYDAb69+/PkiVLcLtb/tsvCMLJ89TXU3z7HVQ+84w/aCXpdCQ89RSJS548I4JWIEZcCYJwCvHU12Pdtg0A3aBBqOPierhFnUfbrx/WzZvxmBqwbt9O6LnntrmNq6yM+i+/Qna5QSH581Mdy5dA3gpWq79MGRmBftAgvJFRBCcnoVQqm2ynCAoi9KKLsO3YgWXjRjz1Juo+/ZSg8ePRjxrVKwMpp5OKvBy8Xg8KpYrYtL493ZxmhUbHEBYbT3luEVu/+oWEfmAI1RIWqycsxkBIpBaF0hdYNhvteN2+L+dZExPQBf82EtC2bx+2nTsB0A0ehH7kCCIrbVQXNWCzS8hxyQRlpPvrex0O3FXVSGp1t0wTFoSuolarqa6uZt26dUyfPt1fXlBQwMaNGwkODu6yY69Zs4alS5fy4IMPdto+c3JymDFjBh6Ph7vvvptRo0ZhtVpZu3Ytd911F9HR0cybN6/TjncyFixYwDvvvMOtt97Kzp07UR8dnWyz2bj99tuZN28eF198MQAfffQRN954Iw899BBnn302H3/8MZdccgk///wz48eP7/K2rl+/nksuuYQbbriBF198kZ9++onrr7+ekJAQLr/88ha3u+GGGzj3uGuJdevWcf/993Peeef5y2prazn33HN54IEHCAsLY/PmzTz66KMUFRXx73//21/v9ttv59NPP2XJkiUMGjSIjRs38sgjj2CxWHjyySc7/8QFQcC2Zw8ld96Fq6TEX6bp25fkF19A2693LNrTXUTgShCEU4b55/XIbg8KvY6gCV1/sdidJKUS/ajRmNeswZFzBLfR2OoUKFdFJfVffInscqEwGAi79BKUYWHITieyw4HX7kB2OpDtdrwOp+//LvfR6Y6JeL1ezG2M7JIkCcOoUaiTkmj4/ns89SYsGzbiLCoiZNbsFldKFE6O7PVSkevL4RaTmo5K0/LKej0tYcAgDm46iMflxWaqRJLisDU4KT9Sj0KlIDRaR1iMAUu978691qAOCFo5i4sxr1kD+KbiBk+bhiRJhMboUaoVeFxejGUWEjLD/dsotFo0yZ0/ZVcQuptGo2HWrFl8+OGHAYGrjz76iMGDBzd7U6E3u/rqq3G73Wzbto2kpCTf9HS3mwsuuIA77riD+vr6k9q/zWZD34kjC1577TWGDx/Os88+6w/gPfHEE1RVVfHyyy/76y1atIirrrqKxx9/HIAZM2awe/duHnvsMb755ptOa09LHn/8ccaNG8drr73mP/6RI0d45JFHWg1cJScnk3zcasuvvfYaERERAYGru+66K6DOjBkzaGho4IUXXuDVV19FqVTi9Xr5+OOPue+++7jtttv89Q4ePMhHH30kAleC0MlkWcb43v+oePZZcLn85WHzLiL+kUfalUf3dHPqz7ERBOGM4MjNw5nnW83PMGHCaTksVpc10PdBJMvYfv21xXruqirqv/gc2elEodcRdvE8VBERSAoFCp0OZVgY6rhYNCkpaPv1Qz9kMIZRowgaNxZNclKHR0up4+IIv+oqtP19CcJdRcXUffQhroqKkzpfoXm1pSU4rBYAEk4gKXttqYW960poqLV3dtOasNZpUWnDQZJQqcqITQtGF+wLtHndXurKrRTsqebAL6VU5JuwNTjJ211N3q4qcn7JY/+HaymuC6bUHUdV4lkc2VnDkV8raaixERHnuyirLbOcWOM8LnCaO+lMBaFrzJ8/n2XLluE65ovJBx98wO9///tm669bt46JEyei1+uJjo7muuuuo7a21v94fn4+kiTxv//9j9tvv52IiAgSEhK49957/VO6Fi9ezKOPPorFYvFPHTs2cHbgwAHmzZtHWFgYQUFBXHDBBRw5cqTV8/j555/ZsmULDz74IEnN5ILs06cPQ48upJCdnc1VV11FSkoKBoOBQYMG8dxzzwVMmWw8j7fffpsbb7yRqKgoxo4d2+Lx2+qX5gwYMICFCxfyxBNPkJeXR3Z2NkuXLuXxxx/3B3xyc3M5dOgQV155ZcC2V111FatWrWoyna6zORwOVq9ezRVXXNHk+AcOHCD/6BTr9rDb7Xz22WdcfvnlaNq4IRIVFYXL5fI/J41ByLCwsIB6YWFhyHLT0d6CIJw4T0MDJX+9k4olS/xBK0mrJeGJx0l4+ukzMmgFYsSVIAinANnlwvKzLyG7OiEe3aBBPdyiriGpVOhHjMDyyy/Ys7MxjB2LMiQkoI67pob6zz9HtjuQdFrC5s1DFRXV5W1TaDSEnDMbTZ8UzGvX4bXZsaxfT/hll3X5sXsr2StTV2klKFyLRtd5H6dlOQcBCIuNxxAW3qFtXU4Pebur8Li8FB2oZdCkrkvqbre4KDtST3hcP8y1u1AobXic+QybMRaH1UV9lY26Siv1FTacdg/IMnari6oCE7LbjX3/Abx2FZJSiy55EI4qJ+AEoK7SSurgKKqLG7DUOXBYXWgN6tYbdLzKA0jZX6NTx0L0n4BTa/SK0DF51a0HOCMMasL0v72GimqtuJuZXt0oSKskNkTn/7283o7N1XyOpvToE/8SMXfuXK6//npWrlzJBRdcwP79+9m9ezcrVqzg448/Dqi7fft2Zs+ezfTp0/nkk0+oqKjggQceYN++fWzYsCFghNZDDz3EvHnz+H//7/+xYcMGFi9eTGZmJjfffDM33HADxcXFfPDBB/z0008AhIb68sfl5uYyceJEhgwZwttvv41CoeDJJ59k5syZHDx4EG0Li3Q05oo6fmpac0pKShgwYABXX301ISEh7Ny5k0WLFmE2m1m0aFFA3YULF3LBBRfw4YcfNpsLrKP9cryFCxfy0Ucfcdttt2G32xkyZAh33HGH//Hs7GwABg4cGLBdVlYWTqeTvLy8Jo81kmW5XXm9lEplizeUjhw5gsvlavb4je1LS0tr8xgAX331FSaTqcWgqNvtxul0sn37dl588UVuvfVW/xRKpVLJggULePnll5k8eTJZWVls2rSJ9957j4cffrhdxxcEoW22fft8UwOLivxlmrQ0kl56Ed2AAT3Ysp4nAleCIPR61u3b8ZgafAnZj04lOl3phwzGun0bst2BbccOgqdO9T/mNhqpX/E5XpsdSaMh7KJ5qGJiuq1tkiShy8pCUqsxffsdrtKyNqc0ns7y99ZQVWBCpVUyYFy8P9H4ybDW12Gq8o1ki+/b8dFWpYfr8Lh8X+7MtXbsFhe6oA4GfNpBlmUK9vqSrQdHxZI0YCQVR7KpyD1MSFQ0sWkZxKaqiU0NpbbMgt3ixG5xE5cailIlYf11Oyq5HkkHhrPGoIqKRpIACYzlVjwuLw219t+mC5Zbic8Ia7NdAcr3gOz1/UhigPnpbsbSNa0+fu85/bltRqb/9z++tZn8GmuL9S8blcxzVw73/75w+W5WH2x+enX+0xd0rLHHMBgMzJs3j48++sgfoJkwYQLp6elN6j755JPEx8fz1Vdf+QMKKSkpzJkzh2+++Ya5c+f6644bN45//OMfAMyePZvVq1ezbNkybr75Zv8UMoVC0SRH06OPPkpkZCQ//PADOp0vcDdx4kQyMjJ46623uPXWW5s9j5Kj+Vf69OnT5jnPnDmTmTNnAr6/JZMnT8ZqtfLyyy83CVyNGDGCN998s9X9daRfjqfRaHjttdeYPn06SqWSzZs3BwS6jEYjAOHh4QHbRRz93GttVNfatWuZMWNGq20HWL16dcCIt2OdzPGP98EHH5CUlMTUY64rGrndbn/fAVxzzTW88MILAXVeeeUVbr755oCRbwsXLuTuu+9udxsEQWieLMsY//c+lX//O/IxI3BDL7iA+EcfFek5EIErQRB6ObfRiPXotDn9sKHdGqjpCZJGg374cKybt2Dftw/D6NEogoLw1NVR/9kKvFYrklpN2LyLeiwxtSY9HYVBj9dqw3HgAKqJE3ukHT2prsJKVYEJALfDQ/bGMvqdFUdo1MlNYS3LOQSA1hBEZGLH8jjZLS4q800BZTXFZpIGdH5gsa7CSn2l70t/SlYk0Ukp2ExGTFUV5G7fQlB4BEHhvuOaa+1oDWoi4oMYODEB85o12N35EAbB06ejHxo4grL0sJHibCNVRWaCI7WYa+zUllk6FriyGaGuEABXVFannLMgdJX58+fz+9//HpvNxkcffcRf/vKXZuv9/PPPzJ8/PyDAcM455xAeHs769esDAjTnnHNOwLaDBg3yj65qzcqVK7nqqqtQqVT+qYURERGMHDmSrVu3trl9e24s2e12nnrqKd5//30KCwsDpkmazeaApPQXXNB2ULAj/dKcadOmMWHCBIKDgxl9dIXfzjB69Oh29dmAbhhFUVdXxzfffMPtt9+OopnVmFUqFVu3bsVut7Nt2zaeeOIJrr32Wt555x1/nQceeICvv/6aN998k379+rFp0yYeffRRIiIiuO+++7r8HAThdOWpr6fs//6Phh9+9JdJGg1xDz1E+JVXnNY37DtCBK4EQei1ZFnGsm4deLwoDAYM48b1dJO6hX7YMGy/7kB2ubDt2oVuyBDqVqzAa7EgqVWEzb0QdXx8j7VPUirRDhiIbccO7AeyMYwfj9TMhfDpyuX0kLerGgB9iAaXw4Pb6eHQ5nIyR8cRHmc4wf06qCrw5XGLy8jscJ8WHahF9sqotSrCYvVUFzVQXWwmsX94p170eDxeCvf57vIHR+qITg5GkiT6j5/E7h++xWm3cXDjzwybeS4qjQZTtQ2A0Gg99t27se/dB4B++DD0Q4c02X9cRhiVBQ04bW7sDb4vtOZaOw6bG62+nZct5Xt9/6r0eMLTTu6EhVPC6nunt/p4xHFTTd+7flybUwWP9dSlw1qcKniy5syZg1qt5pFHHiEvL69JPqVGRqORuGZW042Li2sy8ub4EToajQa7ve28d9XV1bz44ou8+OKLTR5rLS9SY16rwsJCMjMzW6wHcP/99/PGG2+waNEiRo8eTXh4OJ9//jlPPPEEdrs9IHDV3PkeryP90hKNRtPs+TWObKqvryf+mM/dxpFQkZGRLe4zODiYESNGtHns1qYyHnv8Y7Xn+Mf69NNPcTgcXH311S3WGTNmDACTJ08mPT2diy++mDvuuIMxY8awd+9eli5dyhdffOEPBE6dOhWXy8XDDz/MzTffTMhxqQ0EQWibbedOSu6+B1dpqb9Mk5pK0osvoMsSN96OJQJXgiD0Ws6cHJyFvjneQZMnoWght8bpRqHToRs6BNuvO7Dt2YsjJwdvgxlJpST0wgtRN5P4trvpBg/CtmMHXqsVZ34B2oym01pOR7Isk7+7GpfDjUIpkTnGN+rt4KZynDY3h7dVkD48hujkji9jX5Wfi9fjRqFQEpfR+he/4zXU2jEeTWKeNCAcQ6iW6qIGHFYXDbX2kx4JdqzynHocVhdIEqlDovxBMY1OT/8Jk9m3ZhV2cwOHt26k7+hJWE2+vFV6Zy3mX9b76qb2IWjy5Gb3r1QqSMmK5MivlTgdbtwOLxqdEmN7R13Jsm+aICDHDgKFuNQ5E7Qnz9SxSaRTIjsWYI4P07Vd6QSp1Wouu+wynn/+eWbOnNlisCYyMpLKysom5RUVFe0OYLQlMjKSCy64oNkpga0FJhqnun3//fdtBq4++eQT/vznP3P//ff7y77++utm67Yn6N6V/dKYWyo7OztgZFR2djYajYaMjIwWt+2MqYJ9+/ZFrVaTnZ3NnDlzAo5/bPva8sEHHzBw4EBGjhzZrvqNI89ycnIYM2YM+/fvB2gSiBs5ciQOh4Pi4mJ/3i1BENome73U/vdtKl94AY6ObgUInTuX+EWLxNTAZpw2t8hzcnK4+eabGTFiBCqViiFDmt7FbY4syzz99NP06dMHvV7PhAkT2LRpUxe3VhCEtnidTszrfwFAnZTkX9HuTGEYMQJJpUR2OvHUm0CpIPT889Ect7R1T1FFRKBO8N19th+9oD0T1JRY/AGi5KxI9MEa9MEasiYlogvWIHtlcndUUp7XsWXfZVmm/MhhAKL6pKLWtv9LsizLFB3wjSrQh2iISQkhKFyDPsQ3eqCmuPNW1vMlZK8DIDY1pEler9DoWFKH+b4YGUuLydm60/eA14O8dS3IMsrICELmzGl1RFlkYhBB4VoUkoTT7kaW5favLlhXCPaj/R/fvmsBQehpN9xwA3PnzuWvf/1ri3UmT57MihUr/FP4AH744Qfq6uqY3EIguCUajabZFfFmzZrF3r17GTlyJGPGjAn4aW1K2+TJkxk7dixLliyhrKysyeNFRUXs2eMLKNtstoDRTR6Ph48++qhD7T/+2J3VL8fLyMigf//+fPLJJwHlH3/8MTNnzmx1FFrjVMG2flqbnqjVapkxYwbLli1rcvysrKx2JWYvKytjzZo1LSZlb8769b6bDI2BudTUVAB+PW7F4+3btyNJkv9xQRDa5jYaKbrlFiqffdYftJJ0OhKefJLEvz8jglYtOG1uQ+7bt4+vv/6acePG4fV6W1x55HjPPPMMixYt4umnn2bYsGH861//4pxzzmHnzp2t3kURBKFrWbdsxWs2g0IiePrpnZC9OYqgILRZWdj37AWFROi556HpZReGukGDcJWV4yzIx2O2nPYftA6bm4K9vimCoTF64tJC/Y9p9SqyJiZwaEs5ljoHhXtrcDu9JLVzmp6xrBS7uQGAhA4mZTeWWTHX+qYApWRFIil8x4tKDqb4QC21ZRb6DIlCqTz5e1WF+2vwemRUGiXJLeTOSug3AHNtNdVFBeTv2kFw1AhCnDYkhx1JpSTsggvaHD0pSRJ9Bkdx4JdSlCoFlnonkkKB0+5uewXHo6OtCIqG4HiwV5/IqQpCtxo7diwrVqxotc5DDz3ExIkTufDCC7njjjv8q+eNHTuW888/v0PHy8rKwu1289JLLzFx4kRCQ0MZMGAAjz76KGeddRZz5szhpptuIi4ujvLyctauXcuUKVOYP39+i/t8//33mT59OmPGjOHuu+9m1KhRWK1W1q9fzyuvvMK7777L0KFDmT17Nm+88QaDBg0iOjqaV155pdkgWnt1Zr80Z/HixVx99dX07duXGTNm8PHHH7N582bWrVvX6nYhISH+6Xcn4+GHH2b69OnceuutXHnllaxevZoPPvigyaqTKpWKP/3pT7z++usB5R999BFer7fFwNXUqVO55JJLyMrKQqFQsHnzZpYuXcq5557rT8TeGLz885//TEVFBZmZmWzevJmnnnqK6667DoPhxKbIC8KZxrp1KyX33Iv7mFGimsy+JL/wAtp+/XqwZb3faTPiau7cuRQVFbFs2TJGjRrVrm0ak0Pec8893HXXXcycOZOPPvqIyMhIli5d2sUtFgShObIs4ywowLZrJwD6ESNQddIUiFNN0IQJ6EeMIGzevF45FU+bmYmkVoNXxnEwu6eb06VkWSZvZxUelxelWkH68JgmASm1VsnA8QmERvum5ZUeMvpW3pNbzqMDvuHiRft2ARASFUNwZFS72+X1yhRl+0ZbhUbrCYv9bUpgdFIwSBIel5e68pZXT2uvugqrfz8pWZGoNM3nZZEkib5jxqEPDcNucVOZuw1F6UEA9MOHozwu905LQiJ1RCYGow1SYa514HV7MJa1cR5uJ1QdfS3GD4MzLOAtnN5Gjx7NypUrMZlMXHbZZdx3331ccMEFfPvtt63mSWrO3LlzufXWW3nqqacYN24cf/7znwHIzMxky5YtREVFceuttzJnzhweeOABLBYLw4YNa3WfmZmZ/Prrr1x11VW8+uqrnHvuucyfP58NGzbw4osvcuGFFwLwz3/+k2nTpnHHHXdw/fXXM3ToUB588MET6xQ6t1+aM3/+fN544w0++OAD5syZwy+//MJnn33GhAkTTnrf7TF58mSWL1/O+vXrmTNnDh988AFvvvkmV1xxRUA9j8fT7I37Dz74gLFjx9K3b99m9z9mzBjeeOMNLrvsMq688kqWL1/O4sWLAwKpSqWSL7/8krlz57JkyRIuvPBC3n77bf72t7/xz3/+s1PPVxBOR7LHQ/Wrr1JwzYKAoFXY5ZeR/sknImjVDpLc1hX1KWjBggVs27aNvXv3tlrvp59+YubMmezYsSNgzvbdd9/N8uXLyc/Pb/cxi4uLSUlJoaioiOQumMrj8XioqqoiJiamUz6EhdaJ/u5+roYGKjZvRldahnw0CakiOJjIq3+P1MpQfOHEdNZrvGHVKuz7D6AMDyfiD1eftiPjyvPqKdxbA0DGyNhWc1h5PV6O/FqFsdw3tS0qKZj0ETHIsrfZPi87fJC8ndsAGDR1JuFx7U+8X55bT+E+X7sGT01qMnXv4KYy6qtshMUaGDDuxBP6ez1e9qwtwWFxERyhI2tSQpvPtbGsmlVvL8NVVUW8xs6QzHSi/vQnFB14PzusLvasKaa62IxSpSB5YARZExNb3qBsN2R/DZICJtyGR6Xvsr/lXf25f6ZqrV8br8vaMz2qObIs43a7UalUp+3fqt5E9Hf36419frLv295OfGfoXqdif7urqij529+wbvwtHZHCYCD+0cWEtbHqaW/QlX3ekWup02bE1YloKbFhVlYWhYWF2Gy2nmiWIHQKh8dBuaUct9fdduUeIssyzsJCTN9+i/Gdd3Ft3YanzrdSjjIygtDzzhVBq15ON2gQAJ66OtzHrIhyOrE1OCk+mkMqIiGIqKTWp0QqlAoyR8cSneJLZFxTYubw1gq8zaxg5rRZKdzrG20V3SetQ0Ert8tD6eE637bJTfNNAUQl+9pQX2XDaT/xvwXlufU4LE0TsrfG5dQQEZGBbLficpupiYroUNAKQGtQE5cehi5YjaXOgbHc2vp5NE4TjMwAbccT5AuCIAiCIHQW8y+/kHvxJQFBK21WFmmfLjslgla9yWmT4+pEGI1GtFotOl1gEtyIiAhkWcZoNKLXN78Sk8lkwmQy+X9vTETp8XjweDp/ueTG4b9dsW+hqVO9v11eF8sPL6fWXotGqaFPSB/Sw9JJCUlBq+z5lfk8ZjOO7Gwc+w/gafC9j2SvjKxUohkwAP3gwaji45Ek6ZR9Dnq7znqNSzExSGFheOqMWPftIzj+xEf19EZer0zOrxW43V7UWiUpgyPanUOxz5AIFCoozzVhrLBQWaBBMgT2ee6ObbicTpRqNSlDhnfo+Sg+WIvT4UahkIjvF9rstqExWiQFeDxeKgtNJPRtx6p8x3FY3RQfMuKVZWJTgtGFqNrVTmOFBaXRQVRwOAqtTLXDSkV+LtEpHcvVFpceQnlePcZyC3WVVmpKG4hNDW1a0VaHZMwHjq4mePTzuKv+lou/TYIgCIIgNEd2u6l6+WVqXv+3b7XjoyJ+/3ti7//bGbNSemc6owNXJ+P555/n0UcfbVJeU1ODtgteiF6vl/rG6VOtrMQkdI5Tvb83V22muL4YACtW6hrq2F26G4WkIF4fT0pQCilBKRhUnZdMU3Y68eTkIFtt4HEjezy+lTLcjf/3+MrdbuS6+oA/4oroKKTMTBxRUdiio3EoFFAtEip3pc58jbsTE3CVlGDdtRvrwIGn1Si5qjwLVaW+KX8pGWHU1dd2aHtdNKjK3ZiqHBzZbSN6gK+vFQoFDdWVFB48AEDioKHUN5ihoX0rADptHvL21SJ7ZaL6GDCZjdDCpsogDw1lNgqyHShDHB2ePlK0tx6zyYFSrUAT6Zt61xZZlinbeRhHXR3ROgPW9EisNit71v1ETHomEcl90Ojb//cnOB6kw14ajBYO7yhBMjRN5Kwp2YTGYkVW6bB4w6Gqqkv/ltfU1HTq/gRBEARBOPW5ysspuedebNu3+8sUISEkPPEEoXPO6cGWndrO6MBVREQEDocDu90eMOrKaDQiSRIREc2vmAS+PFg33HCD//eysjLGjh1LVFQUMTExnd7Wxju70dHRp8x83lPZqdzfBaYCilxFGAwGhkYPJVQTSp4pjzJLGbIsU0cddZY69lj2EGeIIz0snYGRA9Grmh9d2B5eixXTTz/hbm+wyaBHodGg6d8f3aBBqGJi8Hg8VFdXn5J9firqzNe4d9w4jAeykWUvwXV16AYP7owmdgm7xUXezmokhURwhNb/01yicXOdA2u1BUNQEDF9gknLij6hYwaNDmPfz6XIXi+yTUl0v2gkoOTXzRgMQQRFRDBw1FlIHQis5O6oQq83oNIoGDg6GZW65W21ihAOmsp9bdGGNTulsCX1lTY8VguGIBVpQ6OISQpp13aWGguUV6NWq0kY3IeIC85mz6rvcdrtNJQWYy4rISwunti0DCISk1AoWn8NRkfJ1BV6KMupx1TmJiwkInB1QVlGyi2GIANy0mgMR6dcduXf8pNZBU0QBEEQhNNPw5o1lD2wEE9dnb9MN2wYSc8/h0bkwzwpZ3TgqjG31cGDBxk+fLi/PDs7mz59+rQ4TRAgNDSU0NCmUxWUSmWXfelWKBRdun8h0KnY31aXlbUla1EoFMQYYpicPBmlQsnI+JHY3DYKTAXk1edR1FCE2+umyl5Flb2Kg3UHubL/laiV6g4f01NfT8PnX+Ctr0ehUKKOjwOVCkmlRlKpkFTKY35XIqlUKEJC0aanNRmZcyr2+amss/pbGRKCrm8GjiO5OA8eJKiNlad6iizLFO41Yq13AmAxOqg4+pg+RHM0iKUjJFKHWq+kYHctEhK6IDVpQ2JQKk9sxE5IhJ6oxGBqSs3UFtmQhisoP3wAh8WMQqEgc8w4VOr2v/fMRgfGMisKSSJlQBRaXevbhscY0AdpcFhdGEtthEa2b6STx+WlaL8RhSQRFK4lLjUMSdG+0Vo1W/Yju1yoVTIxsyajDg5h2KxzKTuUTWVBHh6XE1NlOabKctRaHTFpGcSmZWAIbWEqoxIGjkugIteEy+GhaJ+R/mOPmZZqzAdHgy8pe+IIOOY13VV/V8TfKUEQBEEQwDfzpPKFF6n9738DyiOvvZbYu+48rWYj9JQzOnA1ceJEQkND+eSTT/yBK5fLxfLlyzn//PN7uHWC0DGyLPNT0U/Y3DZUChWz+8xGecwoBr1Kz8DIgQyMHIjL66KooYi8+jwOGQ9R76hnS/kWJiVN6tAx3VVV1H/xJV6rFZQKQmbNQte/f2efmnAK0GZl4TiSi7u8AndNDaqoqJ5uUhM1JWYaanyLbkTEB2G3uLA1+IJYtgYntgYnVYUNgC/ButfjBUkiY2QMStXJTTNL6h9BTakZl91D6aFyyrL3ARDftx8hke0fySXLMkUHfFPUdMFqYlLbHgElSRJRycGUHjJSU2ImZVAkinYEoAr21eCwupAUEmlDo9sdtPJaLNTszgWUhGfEoz76WtAFBZM+cgx9ho6gtqSIirwjmKoqcDnslB7cT+nB/YRGxxKb3pfolFQUxwWGIhKCiEwMoqbETN7uavqOiv3teWlMyh4cA8Fx7WqncOpRKpU4nc6eboYgCO3UuMqhRnxpF05jzuJiSu6+B/vu3f4yZVgYCU8/RciMGT3YstPLaRO4slqtfPPNNwAUFBRgMplYtmwZANOmTSMmJoaZM2dSUFBATk4OADqdjoULF7J48WJiYmIYOnQor7zyCjU1Ndx77709di6CcCL2Vu+l0FQIwOSkyYTrwlusq1aoyQjLICMsA4PKwI7KHeyu2k3f8L7EB7UvubarpIT6r75GdjqR1GpCzz8PTZ8+nXEqwilIk5qKIigIr8WCff8BgqdM7ukmBXA7PRTu9+WnCos1kDkmFkmScDs9mI0OGox2zLUOLHUOvB6vL2gFJPQNIyRS19qu28UQqiEi3oAlx8z+tRsJjfag0elIGdKx0Wl1FVYaauwAJA9sXwAKIDrJF7hyOz3UV1qJiG99ZcSaUjPVRb4gXlL/cILC2z+9sGHjZix2BZJSSey4ptNGlSoVManpxKSmY2swUZmXS2VBLi67DVN1JabqSirzjjBo2tlNphD2HRVLTakFq8lJcXYtqUOiwe2AKt8qwcQPg6M5vGRZpra0GFklvjCdLnQ6HWazmZqaGqJ6YXBcEITfeL1eqqurcblcREZG9nRzBKFLmL5fSdn//R/ehgZ/mX70aJKWPos6IaEHW3b6OW0CV5WVlVxxxRUBZY2/r169munTp+PxeHC7A5fRvv/++5FlmaVLl1JVVcWIESP4/vvvycjI6La2C8LJqrHVsKF0AwAZYRlkRWa1e9sx8WPIrc+l3lHP6qLVXNH/ClSK1v80OHJzafj+e2S3B4VeR+jcuajjun+Ug8vhweXwoDWoTnpEjHByJIUCXdZArNu24ziYTdDECUi9aCpVcbYRt8ODQimROiTKn6BcpVESHmcgPM43fc7rlbGZnDTU+oJDsWnNrF53ghL7hZOzYy+W2gpUmiD6jZ2AWtP+gJDX46XogBGA4EgdEfHtT26uC1YTHKnDXGunutjcauDKaXNTsKfGf5yEvuHtPo67qgrj7sN45XA0iQmEJbecKxJAHxJK6rARpAwZirGslMrcHIzlpZiqKynau4fUYSMC6senhxEcrsVstJO/p4bIxGBCHAfB4/ZNE4z7LVBWfuQQR7ZvRR0aRtTZ54ipfaeB6OhoHA4HlZWV1NXVndBz6vV6T8lFV05Vor+7X2/oc6/Xi8vlwuv1EhISQnh4eI+2RxA6m9fhoPKZv2P84IPfCiWJqD/fRMzttyOpTpswS69x2vRoWloa8jGrlDVnzZo1TcokSWLhwoUsXLiwi1omCF3L7XXzY8GPeGQPQeogpqVM69CqYWqFmhkpM1iRswKj3civFb8yNmFsi/Xt+/fT8NNqkGUUIcGEzZuHqpWFDLqK0+5mz5piPC7fyBiVVonOoEZrUB39Ofr/IDUarbLd05yEE6fLysK6bTtemx1nXh7azMyebhIAZqOdygIT4Ase6YJazgmlUPjyOXVkhFF7afQSTkseAG5nEFEpaR3avnB/LXazb5pUn0GRHV4dMDo5GHOtnboKKy6nB3UzCellWSZ3ZxVupwelWkHfkTHtfu/Isoz5l1+wONUotFqC0pNa7etjKRRKopJSiEpKIffXrZQfOUTJwX2ExcYRHv/bHUulWkFyVgSHNldgqXeQvbGMFEU2cVqQovuCxheQq6+sIH/nrwB4PZ4e/xIndA5JkkhKSqK6uhq73e5Pvt9esizjcDjQ6XQdfv8IHSf6u/v1lj5XqVTo9XpCQ0MJCmp9hK8gnGqc+fkU33U3jgMH/GXKqCgS//4MwZM6lnZFaL/TJnAlCGeqzWWbqbH7Rkec3efsE1odMDE4kSHRQ9hbvZftldvJCM8gWh+Yd0eWZWy//oplw0YAlJERhM2bhzI4+ORP4gRUFjT4g1YAbocHs8OD2di0rlKtoM/gKGJS2rcimnBilOHhqJOScJWUYN+/v1cErmSvTP6expxQGuIzWkj+3Q1KDuxFa/DgskmExAygtsRCTJ/2vSZrSsxU5vuCb/F9wwiO6Pj0xcjEIAr31eD1yNSWWohrZjRZea4JU7UvD1jqkGi0hvYnjXfm5+MqKsbsDEedmkxY7Il9WUkdNhJTdRXWeiOHt2xg+Dnno9H99nctJiWE2mIzteVW3FYLheUOGkIjycgaghJwWC0c3PgzsuxFHxJC/NBRHVqxUejdJEk64dWbPR4PVVVVxMTEiBF43UD0d/cTfS4IXav+y68oX7TIl9/3KMP48SQ9+3dUJ/jZJLSPuJIThFNYkamIXVW7ABgRM4KUkJQT3tf4hPEEq4ORZZnVRavxyr8FhWRZxrL+F3/QSp0QT/hll/VY0Mrrlakq8M0lj04JYcD4BNKGRZOQGU5kYjBB4VpUx4wm8bi85O2qpqbE3CPtPZPoBg8CwFlYhOeY+f49pSLfhLXeAUDa0CgUJ7gy4Mmy1BkpyzmISqsgsf9ANLoQSg/X4fW2PlIYwGZ2kre7GvBN3UseeGK5QlRqJeFxvmBSY/6qgDbWOyjO9uUBi0wMJiqp/YEn2ePB8ssGPF5w6sJRRkYSGt3xIDr4cmD1Hz8JhVKFy2EnZ8vGgBHV4XEGtEFqYlKCkWvzkWUwmkPZt99AQ62V7F/W4XY6UKrU9J8wBWUHVmwUBEEQBEE4ntdiofSBhZTed99vQSuFgpi//oU+b70pglbdQASuBOEUZXPbWFW4CoBofXSr0/vaQ6PUMC1lGgBV1ip2V/lWxpC9Xhp+/BHbzp2+emmphF10EQpdx0Z82BpMFO7dxa/ffM7Old/gcjpOuK3GMgsuhy9fXWJmOGExemJTQ0nJiiRzdCyDpyQxak4qo+akMnhKEoYwLRydAmUst5zwcYW2aTMykLS+/rYfM4S6JzhtbooP+obgRSUHn3Ag5WTJskzur1uRvTIavYGh033vVYfVRU1x68FUj9tLzrZKvG4vKq2SzFGx7U7I3pzoZF+w2VLnwGb+bXU2j8dL7o6qo21UkTY0qkPTTOz79uExGrG6NKhS+iDBSfW3ITSM9JFjAKirKKPk4H7/Yyq1kj6Do1AoJBIVvxKqKEMOisZmcbH+45VUFZYDkDl2AobQnhthJwiCIAjCqc++fz95l11O/YoV/jJVbCx93v4v0bfc0qtyup7OROBKEE5BsiyzpmgNVrcVpaRkVuqsNhOqt0dqaCoDIgYAvimIRmsNDd99h2X/IWwuFZr+/Qk9/3ykdi5r7HY6qcjNYc9PK9nx3ZcUH9iL3WLGWm+kuiD/hNtZcXTKVFiMHl1wy6MpVBolQeFaBoyLRxesQfbK5GyvpL7K2uI2wsmR1Gq0/fsB4DhwoM3cg12pcH8tXrcXpVpBSlbPrWhUmZ9LQ00VAIlZQwmONPiTo5fm1CG3MOpKlmUK9tRga3CCJNF3ZCwa/cm9z8Ni9Ki1vn1UHxM0Kz5g9B8nY0RMwIjFlsiyjNtoxLZnL5bNmwFwxqajDA7GEKpBrT25C7nYtAyi+6QBULR3N6bqqt8eSw0lPdWK2msmVF2DISYaa10B5ppijGUW1Lo+RMQnndTxBUEQBEE4c8myTO2775L/u6tw5uf7y4OnTyf98xUEjT25QQNCx4gcV4JwCtpfu5+8el+S50lJk4jUdd6X8olJEylsKMTqMPPtN/9kRkk0R2ojISaBMF0/EitsRMYHtZiwWfZ6qasoo6ogj9qSYrze35LnqjRaVBoNdnMD1cUFJPQb0OH2WeodmDu44ptaq2Tg+HgObCjDYXVxeGsl/cfFERrVMyNwTne6rEHY9+zFY2rAVVyMJuXEp7CeqLpKK7WlvsBM8sBINLqe+bjzuN0U7N4BQERiEqFx8QAk9g/HWG7BYXFRXWJuNv9aVWED1cW+KX1J/X0jC9tiNTkpPVxHQ62dkEgdsWkhhET+lqRXUkhEJQVRnltPTbGZ5P4R1FfbqMirByAhI6zFkVKyLOOpq8NVUoqrpARXSQley28jGCWVEmd8BjhObrSVf3+SRMaosZhra7CbGzi8eQPDZp/rX4kxRpNPQ7SO6vogauudNFQfRqNXodRE4ZUTObChjPQR0W0cRRAEQRAEIZDbaKRs4YOYj1ncTVKrib3vXiL++Eex4EQPEIErQTjFGO1Gfin5BfCNkBocNbiNLTpGr9IzKW48X/34CiUNDWxy6oiJH4Y6ORmbycmR7ZWUBKtJ6BtOVHKwf9qS2+mkOHsfVQV5uOw2//4khYKIhCRi0zIIj0/AWFrKwY3raKiuwmG1oDV0LIFzY4JqrUFNeKyh3dtp9CoGjI8ne2MZTpubw1srGDAugeCIzl897kynio1BFRONu6oa+/4D3R648ni8FOz1JWQPCtcS284E6F2hprgQt9MBSKQNG0WDzffeCArTEhEfhLHcQunhOqKTggOCwZZ6B4X7fOcQFqMnsV94q8exmpyUHDJiLPstkFRbaqa21Iw+RENsWijRScEo1QqiU0Ioz63HaXNTW2ahcJ8vr5UhTEvSwMAVQr0OB46cnKOBqlK85qZTGyWNBnViAqrBI7DvcwGdE7gCUKnV9B83iT2rV+KwmsndvoX+4ycjeZxQlU1IpJ66sCFUb9uJ1+0iLDaKzLFTqC6yYqlzsH99KeF9lIjUE4IgCIIgtIdl8xZK77sPd2Wlv0yTmkri88+hH9y537uE9hOBK0E4hXi8Hn4s/BG3141epWdGyoxOj/h77XaiV+8huU5JDgp+jbQwMzqCxJQQnHY3piobdrOLvF1VlBwyEt83jPA4DfvWr6LcWEyoFIRSUhAcGUVMajrRKamotb/lwwqPT0CpUuNxu6gpLiSxf1a72+Z2eqgp8X0xj00NaXHUV0t0QWoGHB155XZ4OLSlnIETEjCEtm/qo9A+kiShy8rCXPUzjiM5uCpHoI6N7bbjl+XU47C4QJJIGxrd4ddJZ6rIzQF8o610wcH+wBW0POrK7fL48lp5fPmmMkbGtvg+t9Q7KD1cFxCw0uhVRCUHU1duxdbgxNbgpGBPNcXZtUQlBROXFoohTIulzs6BDWVodEoUSom+I2Oa5M8yffMtruLigDJJrUadmIA6KQl1cjKqmBgkheLo4geVSAqJkMiOr3rYkuDIKFKHjiB/16/UFBdSkZtDvN4CHjceL9Q4HRhClFhNEBQ5BGQlfUfHkr+7GpfTQ0m2hT6ZCWKFLUEQBEEQWiS73VS/8grVr74Gx6S6CLv4YuIf/j8UQSe2WrLQOUTgShBOIVsrtlJl9eV5ObvP2RjU7R9x1B5eq5X6L77AU1XNWXIfsiPq8Wo0HFDuYMqQq1GqlJiNDspy6qgpM1FmrmLntq3kV2/GrK5DpVOQntCf+aOvITQ8qtljKFUqIhOTqSrMo7qoY4GrqiIzXo8XhVIi+gRH0eiDNQwY5xt55XZ6OLipnKyJCa3myhI6TjtwINZt2/FarZi+/obwKy7vllUo7WYXZTl1gC+4GRTecyPqrPV1NNRUIcsQk5LR5PGgMC3h8Qbqyq3+UVdIkLezGofVhaSQ6DsqttlcUc0FrLQGNQmZYUSnhKBQSCQPiKCh1k5lfgPGcgsel5fKfBOV+Sa8XhlTtQ1LvZOwGD2DJieiDwkM4LoqKvxBK3VSEpo+KaiTklDFxjabiNRU45vCGxSuRanu3BSaCf0GUl9ZgbGshPyd2wmJbcAgy+RUq7EqbITFGkgeMgybyUB1cQOSUmLQpERytlcQHatGqRIpPQVBEARBaJ6rtJSSe+/D9uuv/jKFwUD84kWEXXRRD7ZMaCSu5AThFFFqLmVHhS9XzpDoIaSGpnbq/j1mM3XLP8NdVQ2ShJQ1g6zgKQDYI43kmHKotlWT4zrAwait/Jqwiq2qVfxa/T1VrkpsNidebzgmpcQG41a8srfFY0Wl9AHAXFuN3dL6qmqNZK/snyYYmRiMuh3Jo1sSFOZL2K5QKXA53GRv8uW+EjqPQqsl9MILkNQqvGYzpq++RnY6297wJMiyTP7eamSvjFqrIvm4aW/drSI3B69XprbUxZFdTvb/UkZVngVzncOftD6pn6+NDouLmlIzFXkm/8qXKVmRASOX3E4Ppmobh7dWsG9diT9opTWoSR8ew9AZycSmhuLYt5fad9/FVVhIaJSezNGxDJ+ZQtKACNSNub5ksFvcIMs4LC5M1TbcLg/Hsu3w/b1RhocTdsnFGMaMQZ2Q0OLqOaYq32iyrli9UZIkMs8aj0anx2s1cmjnHopK66mx+QKTfYYOZ8jUwUQfHbVWVWCisrCBgZPiCY4UIyoFQRAEQWieaeVKci++JCBopRs8mPTPlougVS8iRlwJQiuO1B1BlmT6R/Tv0SR8Do+DVYWrkJEJ14YzIXFCp+7fU19P/YoVeEwNoJDQTJ5JQYmOPspQ6mMqcBrqWVW4KmAbNy5ctgoig3UEWaJIDBqBO0jLoYp97PLsJ0QTwqSkSc0eLzwuAaVag8flpKaokKSBg9psY32VzR9ciktvX1L21gRH6Oh/VhyHtpTjtLnJPjryqqeSeJ+O1HFxhMyejembb3FXVWFa+QOh55+HpOiaeya1pRZ/8KTP4EhU6p6bGuZxu6ksyMNsdKANSkZCwlLnwGqxYKkqQ6NVERarJzzWQEiUjoYaO7k7qwEZr8eLIVyLpJAo2FuDzezE1uDCZXcHHENrUJPYLzDXnOPIEcxr1gJgXruWiKuvRlIq0ehUJPWPICEznLpyK5UFviBwQ62d4AgtdeVW9q0rJXNMLEFhWjwmE46cIwDoR4xo8++f3eLyvz9DoztvmuCx1Fod/cZNYt/HL2KzuSj2qCExkqjkVJIGDEKSJNKHRSN7ZWpKzFTk1gMymsieW9lSEARBEITeyWu3U/HMM9R9+FFAeeS11xJ7153tXkVd6B5ixJUgtKDIUsTKgpWsKlxFdm12j7ZlffF6GpwNSJLE7NTZqBWdN63NbTRSt/wzX9BKqSDk3HMpt4fj9XhRa1VcMvb8gOPpVDr66JNIKlUzVR7KObrxXHfhLVxx+WWcFXcWfVQZmKptrNu/iT1Ve5o9pkKpJDIpGYDqooJ2tbPi6Gir4EgdQWGdM/0rNFpP5pg4JIWEw+Li0OZyvJ6WR4oJHaft25egSRMBcOblYdmwsUuOU1tmIW+XbxptaIyeyMSezUNQU1yI02bHbHQQHJlMREIQMX2CUR2d9ud2eqgpNnPk10pqSi1UFTZQdqSOspx6KgvNWOt9eakq8uoxVdkCglbaoN9GWMX0CfEHrVwVFTT88IO/nqfehD078G+XQiERmRjEwAkJjJqTyvQ/DCB9eIzvPWB1sX99KRX5Jqw7d4Iso9Dr0A1se/XPhqPTBBVKBcERXRO4AgjTOEiJOBqICu+DITySzLPGBayamD4ihogE3/NfdqSe6gJrl7XnVJKdnc3s2bMJCgoiPj6ev/3tbzjbMQqyvr6em266iejoaAwGA9OnT2fnzp0BdfLz85EkqcnP+PHju+hsBEEQBOHEOXJyyL/ydwFBK2VkJCn/fp24+/8mgla9kBhaIAjNsLltbKzciELri+2uL1lPQlAC4brwbm/LYeNhDhoPAjAufhwxhs5ZHkt2OrEfPIh1yxa8VhuSWkXo+edjVkVRX1kBQMqgSKKCQ5iXOY9KayXxQfEY3BoOrPsJhzMMSalgwIQpRCb6glADxifA1qmsLLZQVVvBV7+uJGR8CGlhaU2OH52SSlV+Lpa6WmzmBjT6lvN12S0u6it9Xz7j0k5+tNWxwmMN9B0VS872SqwmJ6WH60geGNmpxziepd5B0YFa7GYXfUfFdmoi695IP3IkHqMR+/4D2HbsQBkWhn7okHZv77VYsO3dhyomGm1G01xR5Xn1vpXxZF8y87Sh0T2+THFFXg6maju6oGi0QUGkDYtGoQRDnJdgXTjmGgd1lTbMRjsarS85utfuRZIk/wgqlUaJLliNIUSDLkSNPliDPkSNWqtscn6ehgbfdEyXG0VwMMrwcFzFxdi2bUM3cGCz0/s0et8lQHxGGMERWnK2V+K0ucnfWYEmu4gEvYRhyFAkdduB8vqjI91ConRNErx3qryfSU4MxYYeW1w/BkyYilIV2D6Fwpdo/rBHxlhhob7CgcflPaOTsxuNRs4++2z69evH8uXLKSkp4e6778ZqtfLyyy+3uu38+fPZtm0bf//734mLi+OFF17g7LPPZteuXaQct2LokiVLmDFjhv/3kJCeW9FTEARBEI4nyzJ1n3xCxZKnkO12f7lhwngSn3mmWxcTEjpGBK4E4TiyLLO2eC12j51QRSgalQa7287KgpVc1u8ylIru+/LT4GxgbbFv2k9CUAIjYkec9D49Zgv2Pbux7d2LbHcAvuXsw+ZeiBQTR8GaEgBCovREJ/uSaccaYok1xGI11bN/7Y847TYUCiUDJk0lIj7Rv2+lUsHAsYmgPJcv8j+joc7ERxs/47opfyA2KDDgFhYbh0qjxe10UFNYQMKAlpO0N+a2UmmVRMR3bkJ6gMiEIOLSQqnIq6fsSD2RicFdstKg2+mh+KCRyoIG/2olh7dWMGhyIrqg0zc5vCRJBE+fjsfUgKu4GPO6tSjDQtH06dPqdrLbjW3XLqxbtyG7XKCQiJg/H1WkL7AoyzJF+2spz60HwBCqof/YeH9ApqdY6+uoLSnHanISk5pCYmY4ao0Sj8eDJEkYQjWEROhJyAzH4/JSX20jIsFAea6JuLQw4tJDWwxQNcfrdGL66iu8ViuSWk3YhReAJGH88CM8pgbsB7LRD2l9+ebgCB1DpiaRu7OKqp1HsFpU2JyRDEvt3+bxZVnGVNN1+a38jPlQV4gkSfSfcxXEtDwSTKFUkDkmloI91Wgi9J2eLP5U89prr2Eymfjss8+IPPr+cbvd3HrrrTz44IMkJiY2u92mTZv49ttv+eKLL5g7dy4AM2bMID09naVLl/LSSy8F1O/Xr58YZSUIgiD0Sh6TibJHFtHw3Xe/FSqVxPzlL0TdcH2LOTyF3uHMvpIThGZk12aTV58HwISECczsMxOAals1m8s2d1s7ZFnmp8KfcHqcaJQaZqbORCGd+FvWXV1Nw48/UvvuO1i3bfcFrRQS2n79CL/ictSJiRRnG3HZ3UgKibRhUQFfmq31dexbu8oXtFKqGDh5ekDQqpFCIZE1OonzMy5EK+loqLfy7s8fY7KZjqunJCrZd7e+uriwxXZ73F6qihoAiO0TgkLZNX+2kgdEoNGrkL0yebuqkL2dlxdH9spUFpjYvbrYF4STZbQGNUq1ArfTw6EtFbidnrZ3dAqTlEpCzzsXZUQEeGVM336Hu7a22bqyLOPIzcX4wYdYNmz0Ba0AvLJ/qqHH4yVne6U/aBUWoydrYmKPB60AKvKOUF9lQ6nSEh6fiD1UycYjNewrNVFS76DO6sRz9PWlVCuITAii35h4plzZn/5j4wiL0aPRqdoVtJK9Xhq+/x53dQ1IEiFzzkEVE4MqOhptZl8ArNu2IrvdbewJVBolmaOiibIXICHjCY8je0cd5bn1GMstVBU1UJ5bT/FBIwV7aziyo5JDW8o58EsZbofv9dtV+a2QZcj72ff/kDiIbjugplQqSB0ahUorLnW+/fZbZs2a5Q9aAVx55ZV4vV5WrlzZ4nY7duzwTVGfPdtfZjAYmDJlCl9++WWXtlkQBEEQOott507yLrk0IGilTkwk9X/vEf3nm0TQ6hTQ81f4gtCL1DvqWV+yHoBEQyKDowajUqkYFjOM3VW72Vm1k5SQFFJCU9rY08nbVbWLErNv9NOUpCmEajo+RU6WZVyFhdh27sRZWOQvlzQadIMHox8+DOXRqRxmo8M3EghIzAxHH/zbiCNLnZF9a1fhdjpQqtRkTZ5OaEzLQ2klhcTQUWm4FBfw+eEVGOvreXvtx9w444/otb99sY1KTqUiNwdrvRGrqb7ZfdWUmPG4vEgKidjUzp0meCylWkHa0GgObSnHUuegIt9EfEbYSe+3odZO4b4aLHW+0W0KpURCZjjxfcMw19o5tKUCu9lJzvZK+o+LP6FpVnaLC6fdTUikrsenyLVGodMRduEF1C1bhtdmx/Tll4RfcQUKw2+j6Nw1NZh//hlXUbGvQJLQDcpCGR6B5ZdfcOblYc0rIr9UibnWN8Q7OiXENxWvK6eotZPH7aZw30EcFhdhcalEZ4azfE85Hq+MLHuxWKwEFdhQKBQEaVSE6lWE6tSE6NSEG9Rkxgaj60BSecvPP+PM9+WJC548CW16uv8xw9ixOI7k4m0wYz9wAP3QoW3uz3nkCFFSLfoIFTVpI3B7ZAr31bSrLRq9qktGKgJgzIP6o6+JtKnQi1/nvVF2djbXXXddQFl4eDgJCQlkZ7ecw9Fut6NQKFCpAi8XtVot+fn52Gw29PrfRtndcsst/O53vyMqKop58+bxzDPPBATLBEEQBKE7yV4vNW++RdVLL4Hnt5vEIeeeS8Jjj6IM7brvFkLnEoErQTjKK3v5qfAnXF4XOpWOiZET/UGA8QnjKTWXUm2rZlXhKq4ccCUGdedPWWtUbatmU9kmAPpF9GNAZNvJkY/nLCzEvH49nprfRrUoQoLRDx+ObvBgFMckHZS9Mvl7qkGW0QWrScj8LWDjdjo58PPq34JWU2YQGt12ni1Jkhg1YgAOaQ5fH/qWivpK3v1pGdee/Ts0Wt+0uLCYWNRaHS6HnZriQnQx8QH7kGXZP00wPM7Q5aNpwuMMRCUHU1NspjjbSHic4YSn8DntbooPGKkubvCXRSQE0WdQJFpD4/kbSB0SRf7uakzVNvJ3V5M+vP35mWRZpqqwgYK9NchemfiMMFIGRZ5w8MrsNHOk/ggqhYpBkYO6JAimDA8n9LzzqPv8czymBkzffEPYxRcju1xYt2zBtmevfxqlOjGBoClTUMfGInu9OA5mYyk3cmT5DqT+Q5CApAERJPYL7zUBu5qiQoyl9SBJxKZnUq8Gj1dGkkCrUmI5Wk+WwexwY3a4KeW3HAsFNVYuGJbQrmPZdu3Cttu3AIJu6BB0w4cHPK6KikKbmYnj8GGs27ajy8pCUrX8HpJlGduOHQCE90sicU4/8ndVYyy3gCShUitQqhXH/Kv0/atSoNQoiIgzdM3zIMuQt873/9AEiOrb+cc4zRmNRsLDw5uUR0REUNvCyEfwTf3zeDz8+uuvjB07FgCv18vWrVt9eULq6tDr9Wi1Wm655RbmzJlDeHg4mzdv5sknn2Tbtm1s2bIFdSt50kwmEybTbyNyy8rKAPB4PHg8nTsS1ePx4PV6O32/QvNEf3c/0efdT/R59+pIf7urqih/YCHWTZv8ZZJOR8wDDxB2+WUgSeJ5a4eufI13ZJ8icCUIR+2q2kWZxXfBPCVpCgbXb4EplULFrNRZLDu0DKvbyuqi1Zyffn6XfElzeV38UPADXtlLsDqYqclTO76P8nJMX3+N7Pb9MVDFxaIfMQJtZiaSoum0mfI8E9Z634igtKHRAdPxivbvwWm3ISkUDJp2NiGR0e1uhyRJTBwxEjtWVh1cQ6GpgI9Wf8nvps1Fq1cjKRREJfeh/MghaooKSYyOC9i+odaO1eRb9aqzk7K3pM+gKOorbbidHgr2VNN/XHyHnmfZK1ORb6LkkBGPy7dCoS5YQ+qQKMJimub/iU0NxW5xUX6knuqiBnTBahIzw9s8jtfjJX9PDdVFvwXGynPrcTk9pA+PaffoI4fHQUFdAYeMhyg1lyLjCxrZ3XZGx41u1z46Sp2URMjMmTSs/AFXWTn1n3+Ou7bWn3NNERJM8KRJaDIzj1ktToE8dCx52Vtwe23oamvJPHsAMSm9K/nzkV/34XJ40IfGkDEyibXFRgD6RBqYNzyBkrIKtCHhWJxeTHY3JpuLBrubWouDarOTnEozDXYXIbrWA6aOvDzMP/tGh2pS+xA8dWqzr1PD2LNw5OTgNZux79+PftiwFvfpKinBXVUNgH7ECNQaJf3OisPj8aJQSD0XHKw5Aibf32bSpojRVt3onHPOoW/fvtx88828++67xMbG8vTTT5Obmwvgf00kJCTwyiuv+LebNm0agwcP5sILL+Szzz7jyiuvbPEYzz//PI8++miT8pqaGrTazllBtpHX66W+3je6V9HMZ6HQuUR/dz/R591P9Hn3am9/uzZvwfLUU8h1df4yRXo6wYsewZWWRnV1dVc39bTRla/xmpr2jeoHEbgSBCAwf1X/iP5khmdSVVUVUCdSF8mkpEmsLVpLgamAPdV7GBbT8pfAE7WpdBNGuxEJiZmpM9EqO3bh7mlowPT1N8huD4qQYEJnz0aVmNjil06H1UXJQd+X6+jkkIDkypY6I2WHfSsaJg0Y1KGg1bFmDJ+I2dvA5pztHKw/wJerg5k2ZAKRSUH+wJWtwYS9wQTHrOZRme8LyuhDNIREdc/Ke2qtkj6Do8jdUUl9lY3qYnO7gyMet5fcHVW+ESr4ph8m9Y8gNi201UBSysBIHBY3xnILxQdq0RnURCYGtVjfYXOTs63CP/0wLEaPSqOkpsRMTbEZt9NL5uhYlKrmP1zcXjf59flsL9+OsdyIF6//MQkJGZnNZZuJ0EaQEd50Fb/OoBswAI+xDuvWrbhKfUEJSa1CP2oUhpEjm6xkV1tmIbdQgRwSgdJkJMmeTXTCiC5p24lqqDVSetg3JTdxwAAM4VoKd/tWw8yI8S10oFEpiA7WEndcLgWn28sbP+fidHvZW2JiQt+oFo/jrqqi4fuVIMsooyIJOffcZgPSAKrISLT9+uE4dOi3UVctjH5pHG2liolGnZzsL1d2UV65dpFlyD862iosCSK75vV4uouIiPBfdB7LaDS2OpVPo9Hw8ccfM3/+fIYenWo6dOhQ7rzzTv7xj38QFdXy6/T8888nKCiI7du3txq4uvvuu7nhhhv8v5eVlTF27FiioqKIiemcVXQbNd7ZjY6OPqNXmewuor+7n+jz7if6vHu11d+y00X1Sy9ifvudgPKw311JzN/+hkL3/9n77yg58vO8F/9Udc5xpifnjEGOiwU2YzOXyyWpaPpKpq5My9Y5tiheX9O+15ZsSpZMJ8nWta37syRfSaRELneX3MCN2ARgkcPMAJNz6Jxzd1X9/qjBALMzAwywAMOyP+fMAaa6wreqq2q6nn7e5/10d/K+G9zNc7xQKGx63opwVeFnnrJc5u2Zt1ccTocbDm84b5+7j7nkHJOJSY4vHqfOWofXdHtiznpcFcQAtldvp95af0vLK8UiyVdeXe4upsXx1FNob/DBX1EUZgYjyJKMVq+hsc+96rXJ86cBBYPZSn3PjbuS3QhBEHh656Nk5QwDk8OcT5/Bed6L+4oHb6MFUWNAlvMklhahvQNQS+2uCkC+Vvu6wlshm0UQQG+6s2WbnnoLkQUziWCWucvRlbDsG1HMlxk7fU1MctdZadrivulyoGaCte2s4srxMtlEgckLQfSmOqyutaJlIpRj4lxwJcy9ttNJQ5cLBFV0808mSASzjHzkp3OfD51e/QOjKApLmSVGY6NMxCfIlXJks1nMZjMajYZmWzNdri7qbfX8YOIHhHNh3pp9i8/pP0eV+c4+PF7FvH8fciZN/sowhs5OLAfvWclcu55kOMf42SAoCtbOZqqmpjEWy+QuDWDetfOujO12GDl+Cbkso9Ub6b2nl4V4jmJZFQVbvRsLkaAKWn11di7MxhlcSLCv1Y1mHbFTSmdIvPwKSqmEaDbjePrpVWW/62Het5fC2BhyJkN+aAjTjh1r5ilHoytZWaYdO35iSi8Jj0EqoP6/4ra6bXp6etZkWSUSCZaWlujp6bnhsrt372ZkZITx8XEURaGzs5N/9I/+Ebt3775hCeBmsdvt2NfJGNFoNHflIVAUxbu27gprqRzvHz2VY/6jp3LMf7RsdLyL09Ms/PbXyA8OXpvXbqf2X/9r7I89+qMe5qeKu3WO38r6KsJVhZ95Ti2dIpJXbYoPNT2EQWPYsN5WEAQeaHyAQDZAppThzZk3+ULXF9CJn/zD+1xyjtenXwfAa/Kyv2b/LS2vKAqpt9+mvOwUsx05ckPRCiC6mCEeUB0hjb1udIZrN4/QzBSpsLqu1p270dwgG2cziILIczs/Q4o4/mCE2fwU9qIT/0SSRNhIMRchl59FuVdZ3n4KRVbQ6EQ89dY160sEA1z+4B0EBHoOPYDTV7NmnttFEARatnoYeC9PuSgxOxSlY/fGYfTZZJHRU36KObVzW0OPm9oOxy09/Gu0Il37fFz+cJFiThXB+g7VruRhKYqCfyLB3HBMddroRFq3V+GuvSaINPap7+HclSjpWJ4rx5boPlCDrCvx7ty7K90yr1JtrGZXwy463Z2YtNecdk+2PsnzY8+TKWV4depVvtD1BSy6Gwsvt4MgCNgefhjr/fdvmL2klkRezV/T03OgicLxRfKXr5A9cwZjbw+iaW0J5o+afKbA7NAoAA293ZjsBiaHVYeL12bAYdLdtI5/a52d81NhkokcI4OTtBkllGwW+bqfcjiCnMkgaDXYn35qU6GiWpcLQ3cXheERsmfPYdyyZY3rKnfhAgCixYKhs/M2jsAmUBSQSqDdZID79W4rZxO4Wu7OuH4GeOKJJ/i93/s94vH4StbVd77zHURR5NFHb/5hXhAEOpfPi1AoxN/8zd/wh3/4hzdc5uWXXyaTybB3795PPP4KFSpUqFBhIxRFIfHCi/j/zb9ByWZXppt27aL+3/0huvpbMwJU+MmkIlxV+JlmIb3AxdBFALZXbafB1nCTJcCoNfJI8yN8f/z7xPIxji8c5/7G+z/ROCbjk7wx8wayImPRWXi0+VE04q0p2tlTpymMTwBgObAfQ/uNA4zzmZIqCAA2jwlv4zVxqFQsMHNJLRty1dbjrrv5cdkMeo2ebfX9lLRnkeQYVXor0fksZnstieA0yUiGC28O07qtZaXDobfRtqbkLZdKMnLiAxRZRgFGjr9P330PYfPcOfebwayjocfF7GCE6GKaWL0FV81a8SYeyDJ+LohclhE1Aq07qvDUrRXaNoPeqKVzr48rx5coFcqMngrQd28dAJMXQ8SWVAea0aqnc2/1qs6PoD5c1nY40eo1TA+EyaeLnHj7MtM1F8lq1ePpNDjpcnXRbm+nkCxQ5ala822HVW/l8ZbHeXH8RTKlDK9NvcZnOz57RwTa9bhRYPjSRIJ8ugSCQNsOL3qTFs3+/RTGxlAKBbJnzmA9vLFL8uMoskxxchKNx4PW5boTwwfgyrEhpFIBUSPSe2ib6lgMq+9X203cVgCFiQmEo0dxhrUsSVpOXS5TZU5vOL/tyBF0Pt+Gr38c8549FEZHkbNZcoODmHdec6rJmQyFEbUk2LR9291pCZ0KwPAPIBOBhj2qe+pmAlZoGNLLJdutFbfVJ+ErX/kKf/zHf8yzzz7L17/+dRYWFvja177GV77yFerq6lbme/jhh5mZmWF8fHxl2je+8Q06Ojrw+XyMjIzwe7/3e+zevZtf+ZVfWZnnq1/9KqIocuDAAZxOJ6dOneL3f//32bNnD88+++yPcE8rVKhQocLPElIyif9f/SuSr752baIg4PnK36fqH/7DG37GrPDTReWdrPAzS0Eq8PbM2ygouIwu9tdu3uFUb61nl28XZwNnGYoM0WhrvO0soJHoCO/MvYOiKNj1dj7T/hkcBscNlynl84ha7YoLqjA2RvbUKQAMnZ2Y9uy54fKyrDBxLohUUksE23dWrXIHzQ1eolTII4oaWnfceF23Srerm7OBs5TEIjRm2NHdTGjORWzpEqVikfDsDHL5Wumfr3m1o6RUyHPlw3fVLoc6PRqNhmI+x+UPjtL/wCNYnHdOjPA124kuZEjH8swMRrB7TGh010S0wFSSmaEIKApag4auvT6srk9WO29xGOjYVc3o6QC5VJGxMwFKBYlcSg2pd9VaaNtetWocH6eqyYagU3jvvfP4UwEI6dB0GTjUvZ8tni0Iy11UQoQ2XIfP4uPhpod5Y+YNgtkgR2ePcqT5CIIgMBZIcXYmxrYGJ311dy80P58usTQeB6C6ybZybDVWK6YdO8iePkNuYADT1q1o1umY9nHkQoHka69RmptH0GqwHDqEsb//E5fFZZNF5q+owk9tZzNWl4NQqkAyVwJuXiYoxeOk3nwLpVSiT69jKadloawlIepx24yIZjOi2Yyw/K++sRFd7eY6D15F63Jh7O4mf2WY3LlzmLZsQVguMcwNDKKUJQSdDuOW2y8JXhdZhtkTMP0hKMtZanOnVFGq81HwbuDukmV1GVCdVs6mOzuunzFcLhdvv/02v/mbv8mzzz6LzWbj137t1/jGN76xaj5JkiiXy6umxWIxfvu3f5tgMEhtbS1f+tKX+Bf/4l+sCmjt6+vjT/7kT/gf/+N/kM1mqa+v58tf/jK/8zu/g7by0FChQoUKFe4C2bNnWfja1ygvZ6UCaGtqqPvDP8Cy3Am3wqeHyqeJCj+zfLjwIelSGlEQeaTpEbTirV0Oe3x7mE/NE8gGODp3FI/Jc1PB6eMMhAb4YOEDAFxGF59p+wxW/fpuHVmWiC0uEpgcIx5YwmSz0//gEUgkSb39NgDa6mpsDz900wfxheHYShZT63bVxXKVdDSCf2IMgPreLRitt+ce2gin0UmtpZalzBIj0RFaHa3UtDnYcn8/l0+cRi5HUBQFQRBwVJsxWq+5fGRJYuT4B+TTKQRBpOfgYXQGI4PvvkW5WFDFqwePYLLemU5zgijQss3L0AcLFHNl5oajtGz1osgKs1eiBCbVUjCTTU/nXh9Gy51xJDl9Zpq2uJkdjJAM55YHI9DQ46K2/eYliJFchLcTbxGuT8C4HbNgpSOyjQap5ZZEmg5XB7FCjNP+04zHx3EZXbjEHl4ZWEJRYCnhJ5opcm+H545nIimKwvRgGFlS0Bm0NPSuFiRNu3aRHxpCzubIfPQR9scfv+H6pHicxMuvIMXURgRKWSL97nuU5uexPvQQ4ifoXjZxdpp8KoJGp6FzXz8AU8tuK7NeQ419YzFTkWWSb76pZlaZjGx/5lEuXEmSRcN8i4eOno1LVG8V89695EdGkLM51XW1axdKqUR+UM3VM/b13tnQ0kxEdVld7QhodICnHRYvQD4JA9+Fqi7oOALGjwmgoSuQWe7407p5R12Fjent7eWtt9664Tzvvvvummnf/OY3+eY3v3nD5b785S/z5S9/+ZMMr0KFChUqVNgUSlki/F//K9H/9t/VL7qWsT36KLW/+zub+jKzwk8flZ6dFX4mmUpMMRJVHRJ7a/beVvi0RtTwSPMj6DV6ClKBbw1/i/fn3ydTymxq+bOBsyuiVZW5imc7nl1XtCpkM8wOXuLcKy8xcuJ94gH1ITCXSjL87jvEX34FpVRGtFiwP/XUhh3DrhIPZlmaiAPga3WsKn+7PpDdaLVR3923qX25Vbrd3QBMJafIltRadG9jMwazBrtXpG27iaZ+D207r70viqIwce4UyXAQgLbd+3BU12B2OOk9/AAarY5SPsfl996hcF19+yfFbNdT2+EEIDidJB7MMnY2sCJa2atM9N5be8dEq6v4WuxUt6gP81q9hu79NdR1OG8oECmKwkBogO+OfpdIPoJgK9N/byPb6voxCEbGzgTwTyZQZGXT49jj20OHUw3Mf3P8PP/fqSEUBcTlcZyejvLypSVKknyj1dwykYUMyZAq2jVtcaPVrS5fE/V6zMvfphXGxin5/Ruuqzi/QOw731FFK1HAcu+96Fta1GXHJ4h/+9uUAoHbGmc8mGVxVBV6PfVOPMvd+KbCaplfi9dyw46S2dNnKPvVbVsfeghTcxPbOmoQNBou+5N39LhqHA6Mvb0A5M6dQykWyQ+PIOfyIAiYtm+/MxtSFJg7DWf+5zXRqnY77P0ydD0Ge35V7RAIEBqFU/9Dnf/qh8/r3VbuNnDcmVLlChUqVKhQocJPN6XFRVL/+B8T/ZP/Z+Vzg2AyUfOvf5f6//yfKqLVp5iKcFXhJ4LwfJrJC6GVTml3E0VROLl0EoAaSw07q2+/K5nD4OCRJlW8khWZwfAgf3n5L/lw4cMNBSxFUTixeGJlDLWWWp5pf2ZVOLYiy8SWFrhy7D3OvvIS81cGKObVh3h7lY/azh4UWSZ44hgLc9NqUPNTT6Kx3rgkqZgvM3lBLQ8zOww0fszFEpyaIB1Vg+pbd+xGvEvdUdqd7WhFLYqiMB5Xs1QsLjd6k4VcOcvRy9/nhcRfM5y4vLLMwvAQoelJAOq7t+BrvZbhZXN76bn3PkRRQyGb5vIH71Aq5O/YeOs6HJhsalnV6Ek/cb8qjFU12+naV7NGVLkTCIJAc7+Hnntq2fpAA46qGweQZ0tZXpl6hQ8WPkBSJCw6C59p+wz3d91L/6F6jFa96hQbinD52CLZRHHT43iw6UH0so8rM2Ym4lOImjy/crCF3lpVWBsPpvnOmXnShfJN1rY5ykWJ2cvqeeioMuGuW/+8Nvb1oVnOqcocO4airBXkckNDJF56ESVfQDAYcHzmM5h37cT+9FNYDt0LGhEpmSL+3e+SPX9+3XVshCIrzAyGSMcW0Ju0tGzrRRQ1ZItllhLq+XejfKuS30/2zGl1X7ZswdCmlhv3NzgQBCiUZEb8qU2PZzOY9+wBUUDO5cldurQSym5ob0PjuDXH6Lrk4nDhr2H8LZDLoLfA1i9Cz5OgXXa1Wath55eg+3F1mlRS5z/356rQFRyCbFSdt+K2qlChQoUKFSoAyVdfZea5zyNd1zXQ0NtL6/PfxfXFL/7kdESucFeoCFcVbptSsUAi6L+lB731KJckpi+FCM+lWBiL35nB3YDp5DTRvPpQdKD2AKLwyS6DFkcLX+r7Entr9qLX6JEUiUuhS/zl5b/k2MKxFUcRqKLVBwsfcD6oBp832hp5uv1pDBr1ga5cLDJ/ZZBzr/2AKx++S2xxHlDQ6PTUdvaw47Gn6X/gEVq278KRziGn04RScXK93TcNalYURRUHCxKiVqR9VxWi5tq+lwp5ZgYuAOCub8RVe/c6cBg0Btoc6kP6cFRt0Z4sJpkzRBiKXGZpbhxZkTkTOIMkS4TnZpgdvLgytqata50hjuoaOg/ciyCI5JIJrnzwLuVS6Y6MV9SItGzzrgqHbux107LVc0M3zSdFEATsXtOqbo/rMZOc4W9G/obZ5CwArY5Wfq7752i0NwJq0HzvvbW4l0PjM/ECl48tEphII5Vv7uiJZSTSsV40ggGttozBeQGNtsBjW3wcbPcAEEjm+fapWZYSGRKFBHOpOYajwwQyt+5kmhuOqeepRqB5qxq4P5zJESisfj8FjQbLwYMAlBaXKE5OrrymyDLpD4+RfucoyAoahwPnF7+AvknNShIEAfPOnTg//3k0DjvICpkPj5F8+RXkXG5T4wzOpojOzyGXi9irTPjaVGfaVDiDooBGFGjymNddVi4WSb3xhjo2pxProXtXXrMbdSu5WJfmE5say2bR2O0Y+/qQgbMXBpnOqPtq2rmBgF9Ig39QdUbF59TyvWJmlTUfUF1Wixfg9P8LcfU8pLoX9v4aeDvWrlcQoG4n7Pt18C3naqUCcO4vYOxN9XdvJ9jr1i5boUKFChUqVPiZQUpnWPxnX2fht76KnLr2hZ77V3+Vlr/59soXfxU+3VQyrircFrIkMfTu22QTMZq2bKehr/+21xVbyiJLqvgVmklS2+5Ab7w7p6aiKJwNnAVUp1Od9c48FBk0BvbW7GVb1TYuBi9yKXyJolTkYugiQ5Eh+j39bK/ezonFE4zGRgFoc7ZxpOnIqu6B42c+Irowt/K71e2lpr0TT0PTShA7qGU+VZkCaaOZvMfFfCSAIxzE7t04D2dpIrFSetXc71nTkW528CLlYgFRo6Vl+65bPgbBVJ73RkLUOkzsaXFhvIkLqdvdzWhslMX0It8f/z7zqXnS5hR6FPQlESmZJ+cQGJm9RPKsWtZpdXno3Hdww29UPPWNtO/Zz/jpE6RjEYaPvUfvoQdWHbvbxeY20tTnJjSbor7bhbv25p3i7jaSLPHR0kcrnTG1opZ76++lz9235hjp9Bo6dlcTb7AyMxghlykSmc0ylF2kdXsVzur1BZZYpsgL5xZQZC39VV1oHKeRxSKvTr1Kn6cP2ZjC5UlycjxPrlzk/dkinY0ZPHbVfSUIAl/s+iJe0+Y6PqaieUIzSQDqOp0YLTo+iKb4KJHGKIp8pbEa3XViob61BV1dHaXFRTLHT6BvaUGRJFKvv0Fxelrd9/p67E88jmha61rT+Xw4f/7nSb/zDoXxCYrT08S+/TfYH3sUXd3G94dCrsz8cJR0dA6jTY+vpXElD+5qvlWDy4RBu/51kPngA6REEkQB26NHVoLSr7K9wclkKEMgmcefyFPjuHPZU8LOXby8GGZea0BQFD6rh6qamvVnvvyiKlitWYmguqV0ZtCZQJYgtVyuqTNC52Pg20SpscEKfc9AzVYYfR1yMSir+Xu0HLqt/atQoUKFChUqfDrIDQyw8Nu/TWlmdmWa4HJR92//Lfb77/sxjqzCj5qKcFXhtpi7PEA2oYYcz18ZxNPUfNuB2JHFay3fZUnBP5mgqc9zR8b5cRbSCwSzakbSLt+tizM3w6AxsK92nypghS4yEB6gKBW5ELrAxdBFFFSBrtvdzYOND65ye8myRCKgPvi56xtp6O3H6nKv2UZ+ZJTMiY8QBYGufQeY0igUshlGjn/Atkcex2BeK6ikonkWRtT3y9NgxduwOksrFQkTmJwAoKF3C0bLrQWyF8oSL19cIpErMR/LMbiY4ECbh631DjQbOJLcRjfhbJjp5DT+jJ8GawNGm53WGg8ubEylwiQNJc699xpt5mYMZgs99953UxGquqUNqVxi6vwZkqEAox99SPfBw4jiJy/nq2lzUNN2B8qp7gCJQoI3Zt4glFVLP70mL0eaj+Ay3rirotNnxuYxMjccYWowSyFXZvSkH3edlaYt7lWicTJf4vlz82SLEnqtyOd3dZNVbPxw+oeEc2Hen39fnVGElgYNV2YtlEsCw7MWWmpy1HtKKCgcnTvK5zs/f1N3oywrTF9SA7lNNj017U4GU1k+Sqj3iLwsM5Ur0GW5JuIIgoDl0L3E//Y7SPE42VOnKE5PUw6rpYbGLX1Y778f4QZlr6LBgO3xx9ENDpH58APkdJr4Cy9g2bcP0549a0RARVHHmU8lKeSi+FrsK26rsiQzE1Fdlm1V619HhYkJ8pevAGDZt29dt2Szx4zTrCOeLXFpPk6NYwNh6RYJFUu8mCoSrGuEYBBFEDja2kFzqYxT97FrKxu9JloJguqquoqiQCmv/lyPp0MtATTc4t8Dd6vqzpo9DgtnwbcVbHdmnytUqFChQoUKP10oskz0f/5Pgv/pP8N13W4t9x1G+0/+CZaurh/j6Cr8OKgIVxVumVQ0zMLwtewhWZaYOn+G3kMP3HJtcTFfJhlWH3zMdj3ZZJHgdIradudNy6Nuh3PBc4D6kN9kuzPt1RVFQcnlEEymlf03ao3sr91/TcAKDVCS1TKnrd6tHKo/tOZYpaNRpLI6T/O2nesKgYWJCVJvvQmKgraqCufjT2DIZhg8+ialQp7hY+/T/+CRVeJOuSQxeT6EIisYLDpa+r2rtq3IMpPnrgay26nr6r3lY/D+aJhEroQoCIgC5IoSR4eDXJyLc7jTS6vXsrLNq060i6GL5KU8CgqJYoLnap6jlloka5jFkcs4UzpigVmi2SIt1mZ67r0fvWl9V9DHqe3oplwsMjd0idjSAuOnP7qhU+unjdHYKO/Pv09RUnOqtlVt40DtgRt2xhwPpjg+EcFjMdBRbaWp04liyJNehFyyRHQxTSKUpbHXTVWTjWxR4ntn50nly2hFgWe21y27fto4WHeQj5Y+wqgxYtPbsOqt2Kpt3Ndo4dS4RDovYpANuGWJsPA+oWyIS6FL7KjeccP98k8myKXUfWre6mG+UOSNiOq+kmUZQRAYyeRXCVeguqYMXV0URkfJnlEdlQgClnsPYtqxY1PvuyAImLb2o6vxkfzh60jxOJmPTlKOxbA9/PAq4Ss8n2ZpfJro/ACOKjNGqwVXnVpauxDPUVwuv2xdJ99KyWTIHH1XHXdtDabduzccz7YGB++Phhnxp7ivq+qmLsabMZLJ81ooTklRMNTXsTe8xEWbi5LDyUvBOL9U61nlZiOwnCGhN8M9/0jNoiploZRb/sle+7dcAGeTWh54u9eZRgut96k/n7AEvUKFChUqVKjw00kpEGTxn/5Tsh99tDJN0Oup/trXsP/iLxAOh3+Mo6vw46IiXFW4JWRJYvzUCa7vOjdx9iRx/yLRhTk8DbcmBkUXM6AoiFqRzn01DLw7j1yW8U8maOxd6zb6JPgzfuZT8wDsqt51x0SM3JkzZD46idbrwbRrN4bODgRRdZaYtCYO1B5ge9V2LkcuY9Ka6HX3rrvtZEjNAtKbzOs6noozMyRff13NxHG5cDzzGQS9HoteT8feexg58T6ZeJSJMx/Ruf9eBEFYdoZEKGRLCKJAx65qNLrVrpfA5DiZuJr51bZr7y0Hso8H0wwuqDk8+9vc9NbaOTauPmxHM0VeurBInVNPa02eqDTNbHKWsqx+c+KzqE6TGksNHqMHXVGHs6GJxZHLOEQrZIsogL6nHovzxk6ij9PQ249ULLI4Nkx4dhqz3UFD7+2XtP4kUJJKfLDwwUoumEFj4KGmh2h1tN5wuXOzMd4fDaEoEEkXGQ2kEAVw68rsbKvFl4fQeAKpJDN9Kcz8ZILjyTQZQcFg0vLUtloa3ddEwx3VO9hetX3d83hXrcRrA36mwhmWohoSUjt66wwnl07R6mjFYVjfsZbPlFgcjQPgbbRRtut4aTGCpCgIUoZ44ix+pQq92EdJVlYLLIDlngMUJsZBkhF0OmyPPYqh9cbHZT20VVW4fv7nSL1zlMLYGIWRUZR8HvvjjyPo9eRSOc69dpRkcBaDRYfVZaJt554VR99kSC0T9Fr1OEyrO00qikLx2DHEQh6NwYjtyJGVe8V69NU6OD4eoSwrDC0m2d18a9fAVWRF4VgsveJcs2g0PFProaHrc3RkC3wvECNYLPF6OMFTVQ71fVUUCAypK6juA1Gj/ujuXMniDfmUiMwVKlSoUKFChc2Teucdlr7+z5Hi8ZVp+o526v/9v8fY3Y0k3f1GXhV+MqmEs1e4JWaHLpFLJQGBjr0HqG5tx16lig9TF87echh2ZEF9kHLVmDGYtPha1C5lgekkpTvcYfBqILrT4KTNeWdC/OR8nuxZ1cVVDkdIvfEGsb/8S3IDgyjX2VpNWhO7fbvp86zNHrpKMqSWMDqqfGvmKc4vkHz1VZBkNA47jmc/i2i+JiR4Ghpp3LINgPDcDAvDQ8iKzNxkaKUUs7HXjcVpWFlGKpeYHbjAsb/9K2KLC3gamnH6bq00J10o89YVVXCrdRjZ1+LGYdLx5NZaPr+7BlGXYDw+zg9GTvCf3zvL64NLZAoSoiCy1buV/33r/87emr1oRS0jMTXHyuxwYrI70IpanEYnmrYq5nSRWxoXLHfl274Lb1MLAIujwyuOtp9Gwrkw3x377opoVWup5ee7f/6GopWiKLw/GuK9EVW08toMNLhMCAJIssx0NM8bVwK8NBtmyi0SMQpkyxJvTISYnk8SnkvRlJApT6VX3FBXmzFsdB4btBqe2V7HjiYnABahgeEZB2fHjHz70ntI0toweEVRmBmMIEsyWr2Gqm4n3wvEyMsyyEUM2WNUi3EypQzBXJTpXGHNOjR2O/YjRzB0duL8wudvS7S6iqDXY3vs0ZXA8uLMLPEXXyQ2O8N7f/U8yeAsgkagoaeR7UeeWBHsFUVhcjnfar0ywfylS8gLiwBY7zt80y5+Jr2GTp/qvByYj99WI4y8JPNCILYiWtUa9HypzkODUc3UajMbOOhUx3olk+NccrmZRGJe7RAI18LTK1SoUKFChQoV7gJyPo//d3+X+d/4h6tEK9cv/SKt3/0uxu7uH9/gKvxEUHFcVdg0yXCIxRE1l6Wus3slCLxt114uvvkqxVyW+aFLtOxYv/Tl4+TSRTJx9QHUU68+ONW0OQhMJZHLMoHJBA09d8Z1Fc6FmUpMAWq21SftJHiV/OAgSqmEoNWgq6+nODOLlEiSfvddsqdOYdq5A2N/P+LHgpc/jixLJMNqVpG9anXAesnvJ/nyyyhlCdFqxfHss2isax+KG3r7ySbiROZnmR28xKnAJZYmNOgEPV6fHZujgD5dohxOElmYI760SGByjHKxQFYqU99zaw+niqLw1uUAueX8o8f7aygrJaaiU0wmJplNzqJ1SPgEHTm/kUJRQzbjIeJ3c7C1CSFn5uJsjnKulsX4JP74MBp7M3UlAzlvG0vBS7T37eWiZZpANkAsH7tpftPHEQSB5q07iMzNUi4WCEyO31Yp5K2Qz6SZOHMSi8NJ07YdnyhbqyzJ+JN5/LkJzoaOIykSAgJ7avaw27f7hudxWZJ543KAEb/afaXZY+apbbUYtBqyxTKj/iTnJ5ZIlAUkWWE+qZbs5oUSeaOARhLZaTfTYNATD2SJB1RBQ2fU4vCasFeZ8NRb1hWwRFHgwe5qGl0mTk5FSRSbmIxP8t5wiljsFE/29dBba0e33NUytpQlEVTXX9/r4pV4klipjKLImHNnEOUMGgEcYoFAJsBoto5Oy1rnj6GzE0Nn520f7+sRBAHroXsRzWZSH37A7PBl5s9eIGP2IWi1dO/fQ/8De1c5piKZIsmcKo5+vEywHA6TPaFa3g0dHRh6ejY1ju2NDq4sJYllS8xFcxt2KVyPcLHMi8EYsZIqom+1mnnEY0f7MbfaPU4LgWKJ8Wyed6MpqvRamq66rcwesNVuepsVKlSoUKFChQq3Qn5khIWvfpXi+MTKNI3TSe3vfQPbQw/9GEdW4SeJinBVYVNI5TLjpz/iag5SY//2ldfMdgd1Xb0sDA+xND5KVUvbpsq6IguqM0Fr0ODwqt2+dAYN1S02/BMJAtNJatocaPWfPOvqqtvKqrPS6bwzD7ZKuUzu4iUADD092B58kFIwSO7cOQrjE8jZLJljx8meOYtp21ZM27atckldTzoaQZbUh0tH9TXXUzkUIvH9H6CUSohmM45nP4vGbl93HYKguuByqRQB/xxzR2fRVHdTNJZYUEaYfy2FEs9iEA3Y9TYMJQ2FTBqz1Ya9ykc2EcPq2rwwdGk+wWQ4TaaUodtX4N3FQfwZP7JyzVEjCgLb66t5tredVMrDxbkMhZLMyFIeUIWSsmJlLl1AVsokQ5dpCmsQBC2KbwcYLRg1AfJSjpHYCAdqD2x6fFcxmC14m1sITU+yODpMTXvXLZdDXkVRFLJFCYth/VunIsuMnTpOKhwiEfSTy6TpPnDolrcXyxS5tJBgYCHGlfA4iWKMGreOrlojT3U8Qr21/obL50sSL19aYi6qikG9tXaO9PlWgvLNei1b6x3U6ItYHW6mozkmQmlmIlmMFh1Gi47DnV76vTYS4RzJ5R+pJFPKlwnPpwjPp8gkHDRv2biRQke1jfYqKzMRD/+/MxEmQgmGQtOIQzZOTETY0ehkS42dmSHVUWfzGDlnlJnLqM4uS2EIoRxAQGCLdwtz/mkmSgYuxiM85nGsEWDuBnJrM7MD54jOTpLMmtDkU7Q9+Dj9D+5eI9pdLRM06zXU2K8Ja0q5TOrNN1GkMoLFjOX++zddqlxjN1JlMxBKFbg4H6febSIjyYio15dGABH1X4FrTrixTJ5XQwmKioyIwIMeGztt5nW3KwgCT3gd/OVSmVipzMuBCF8OXMYAqtvqJmNVFIVYWcIsihg1FSN3hQoVKlSoUOHmKIpC7C//iuC/+3coxeLKdPM9B6j7t3+Azrdxt/QKP3t8qoSr4eFhfvM3f5Pjx49js9n4u3/37/Jv/s2/QX8Tt0tLSwszMzNrpudyOYzGH1Gex084c4MXyafVEsHOffes6ezW0NtPeHaGQjbN5LnT9D945IYPZoqiEJlXS1fctRaE6x5Aa9ocBKeTSCWZwFSS+u7by3W5SqKQYDw2DsDO6p1o7kB3OVC/HZCzWRAETDt2AKCrrkb3+OOUYzFy58+THx5GKRTInj5D7sIFDN3dGHt60NbUrDo+yaBaJmgwWzBYVKdGORol8dJLKIUCgtGA49nPor2JsKTR6mjfdZCz//2/oRQU8E9RVWcmu5AlVcwBCgW5QEgvQiaD4lIwGTSkSgGyQ0dptxWw6W3YDXasOusaR4+iKMQKMS4HZvmbM4vE80mc1jxuKYuw3BxSEATqrfW0O9tptbdi1i2LddWwq1HizEyUQLKAJMtIMkiKgbjSTCA/RbY0h1G3AwWBYhlmozlsjlbQX2Y0Osr+mv23lU1W391HaHqKYi5LaGZqpQPcrRDPFvnBpSUi6QIP9/jY2rC2zGtxbITUsnMOILY4z5UP313uhqhbM//1SLLCRCjNpfkEc9EsiiIzFh8nUVDzw7IpHxldG5MWPe5mCdMGgm4qX+LF8wuE0+oHgH2tbg62ezY8bia9hv56B/31DvIliZlIFq1GoH251M1o1eFrsaPICplEkWQ4R8yfIRMvEJxOUtvuWNWJ8OMIgkCL18r/8dD9/Om5v2U6qGE+NoNe28yJmXnO5GSqDDoa3CYizSYGMzkArNIsFNTr9p66e9hWtY2R+DwTJZhLB5jO19Nhvnv353yxxNTgIPHJYRSzkYKnBQtgN1VTs3iR8mItuvrVAuJUWL0IWrwWRFHNmJNiMbJnz650OdQdOoR4C39XBEFge4OTt64EuORPMmERKG1wCxNQmyNoECguC8gmUeSZaidNJsP6Cy1j1Ih8ttrJXy9GMcTHGYnH6LeaEH19Gy6jKAoz+SLH42kW8kWq9Tr+bt3G51qFChUqVKhQoQKozzlL/+zrpN9779pErZbqf/KPcf/qr94wA7TCzyafGuEqFovx0EMP0dnZyfe+9z0WFhb4rd/6LbLZLP/lv/yXmy7/hS98ga9+9aurphkMN/6g/7NCMhRkcUzNH6rr7sXm8a6ZR6PV0rpzN8PH3iMVCRGcnsTX2r7hOjPxAoWsWlLjbVhd9qY3aqlqshOYSuCfSuBrs6P9BN20zgfPo6Bg0pro8WyuPOdmKIpC7vwFAAxtrWsEJa3Lhe2hhzDv20fu/AXyQ0MopRL5wSHyg0NoHHYMXd0YurvQulwkloPZ7VXVCIKAFI+TePEl5FweQa/H8cxn0Xo2drZcpZArM3I+Qs7uQ8ikqKq10OitRRQ12KqrUTxmUhaJ2YVR/GcvIaBQcGjIRyJEp2PM1OQQlh0TgiBg06kilk1nQ1Zk5tPzpAoZLk1aSec06HUKHfU5rHoLDbYGGqwNNNmbMGlN647PpNdwuLNqzfS5lMhLYzGy2Syf32Gn2lLN60N+riylCEacYNOCNc18ep5GW+MtvFMqZrsDd30D0YU5FkauUN3Sdkt/EKfDGV4b9JMvqblr740GaXCZcFmuieLZRJzZwQsAeJtaMFltzF0eIBH0c/n9o/QeegDtOiJ6IltiYCHB0GKC7Equm8JSbhq7PUibs0iVZhuZdBXFssKZ6RiX5hPsbHSyq9m1qtNcOF3gxfMLpPJlBAEe7K5me6Nz8wdKKDE48G3yqTTF1v1UVzVidjoxWqwIooDVZcDqMhDyavnO6Xl8koB+Isb2LWvf0+sp5MoUIrCruB1DYoxyJoNVTJLL65AUBX++zJhOIjwjU+OzYCWGkj6HIECvu3clCH6/r5+TmVGi+QiXEnE6zLeWybYZFFlmbGSMN945QTGdpM1rxWux4my5F12LAZf/AnopR+L738f22GMY2tS8vGyxzFIiD5JEQz5O6ugVijMzyKn0yrpNO3aQrau75TF119h49YqfwVQWX0Ckvm5tx1EABQVJAQk1C8un1/Gsz4Vdu7n7Z5Vex2NVdkanRkhJEpe1XvpNa8VyRVGYzhU5EU+zULj2DWmwWGImX6TlJiJZhQoVKlSoUOFnl/SHx1j8Z/8nUuhad0BdcxP13/z3mLb+dDdSqnD3+NQIV//tv/03kskkL7zwAm63motULpf5jd/4Db7+9a9Td5OHBZ/Px4EDt16G9GlHKpcYP6OWCJrsDpqWA8DXw13XgKuugdjiPDOXzuOuq0dnWN9ZEF52WxksulWB4VepbXcQnFFdV8HpJHWdm3ddyYUCSj6PxuEgXUyvhFlvr9qOTryx62WzFKemkWIxAEy7dm04n8ZqxXr4EOY9u8kPDpK/MoyUSCAlkmRPnyZ7+jSi10s0uoTodKE3uZg6PYfuwrsY8hkEnRbHZ57elFW2kCszfHyJufASgtmMYV8N2+t24qlpwFVbj1an7ruiKJhHE9RV70K269H01DD51rsUpCJKqkzZqV+ZL1lMkiwmV21nLmgkV9DjMtp4Znst+5pacRqcn8hlUW+tx6q3ks1mGY2N4rP6eKjHRzBVIJKGMb8Xc3OA0ejobQlXAA09W4guzJFPqxlf3sbmmy6jKApnZmIcGw+jKGDQiYiCQK4o8cZlP1/c3YgoCsiyxNipEyiyjN5oonXnHnR6A6JWx8ylc6QiIYbee4u+ww+hW3bbLCVyfDQZYSaS5frM7Sa3GUk/ha40iSjCjqodHKw/SK4ocXYmxoW5GMWyzMmpKBfm4+xqcrGzyUkwWeAHlxYplGS0osATW2vpqF6bhbYRmVKG59/7M2LDqsvp7cV5mu0teExuNFodZqcTi8OF2eHkRE7GYNUwnyrxF0sR7nNrOOSx4xJE8pmS+pNW/03HronUJtxYZQdpTRpZ6+dA507CssLFVJZLpQLyQpJYKE6z4xLVDjWA/r6G+1bOrV53L3VzQwwXDBwPz/GMz3fHygWlcpng9ASjlwa4OOGntBwiPyk7MOi34NHpsbqNtB95iuTLP0BOpUm++hrWBx5AV1/HlfNj5IcDKKkkTkuM/HXDEowGjF1dGPfvJ7t837gVYpKE3wBlRSEWzvEPtzdh12mQFAUJtWugvCxYSYr6u04UaDEabvn49OjBUFhgEThnakFOZdlmU12TiqIwtSxYLV4nWNUYdBRkhVipzKVUriJcVahQoUKFChXWIBeLhP7jfyL6Z3+2arrjueeo+edfR7RYNliyQoVPkXD12muv8cgjj6yIVgA/93M/x1e+8hXeeOMNfuVXfuXHN7ifYmYHLpJPpxAEkY69B26a1dO6YzeJgJ9yscDMwEU69uxfM48sK0SX1CwYT711XcFDb9JS1WQjOJ3EP5nE1+JAo7u5Q6Y4v0Dqh68h5/Joq7ycry1QNuUxmqz0e++cgp87r3YS1NXVoqu5uetDNJkw792Lac8eysEghZERCmNjyNkcyfk58oF5FGaY8zuR8gJKXofHaqf95+5HtwmHxlXRKpcpEs6HoD1FX8d2ehoOrZk3Mj9LJh5DI4ps2/0Ajmof9rYc6WiEaks7jVt3kiqmSBaSK8JVsphEURR0so+orGVntYWdjS4e7LozteeiINLt6iYYDzIaG+Vg/UH0Wg1Pba3lW6dmsWm9jMylMOsnua/hPnSaWxcgrW4PTl8t8cASC8NDeBqabii2Fcsyb1z2MxZQRVaPRU9vc4bLwXmGJ0UW0zq0hgh7WzwkxmeIR4NoBS3tew+g06sP7vXdvWh1OibOniITjzH47pv03fcwibLI82fnKUmqYmXSa9hSZ6e/zsFcdpgPFwYQRehydXFP3T0r8xzq9LKr2cnp6RiX5uIUSjInJiKcn41TkmQkWcGo0/DZHXXUOdd3va1HopDgpYHvEhuZBAS0VhOSLDGZnCRVTNJob0IKh9TsrrJEOpnFnpUwZrWUtVaGR11MmZxUmew0moyY1nGzCaKAzWVgX8sW3o2/RdFcIFXlYofvXkbmw3hm40TCaUqpacaSRuIJG4/fe/+q0l6dRsehqmaG5yMsZEJMZjN0rdOo4FYoFQsExsdYHBsmkcpweSlFWZLRuaoxNXYyFxH5IJDkSJ2brdu96Kx6nF/4Aonvfx8pEiV99CgAI1kLUllHg7aMXgBtdTX65mb0Lc1oq6sRRPG2WjgHCiX+1h/F5TXhD2boMOgRsiV81XepTDI0TItBQ0bSE3F28lYkiVenJSvLnIin8ReudeasM+i5x2ml1aTnQirHW5EE49k8GUnCcps5chUqVKhQoUKFTx+F8XEWfvtrFIaHV6aJNhu1v/OvsD/55I9xZBV+WvjUCFfDw8P8vb/391ZNczqd1NbWMnzdBbIRf/VXf8Wf/umfotPpuO+++/iDP/gDtm7dereG+1NBIuhnaVwtEazv6cPmXlsi+HGMFisNff3MDlwgODVOdUsbdu/qMqJkOEe5oD7Aeeo3VtZrO5yEZlOUixKBmSR1Hc4N51UUhfzgIOn33wdZFQPSoSUuJgYoCzK9zq1IwhhyR/st5cusR8nvp7S4BIBp58Zuq/UQBAGdz4fO58Ny772U5uaIvvsOQniRctlAabnLIoJAqq6fkXGBJkNazQHbQGS5KloVsiXixRjF1jCCs8RW79rzV5Fl5i4PAGoIvKPaB4C7toF0NEJsaYF2YR9ekxevafX7XShL/OVHs1h0JdwWPYc6b34+3Apdri4+mPqAXDnHbGqWVkcrHquBh3p8vDxQZD40z4RfYqJxgh737ZV81vf0EQ8skYnHiPsXcdWuH3IeyxR5+dLiSk5UjUtBYz3H6ZBfTcDWm1iI63lhYIHJYBj98DQoCppaF5NRGUvKQpOtiR3VO/C1dSBqtYyfOkEuleT0m28yYOmipGiwGrQc7vLSUWVFqxEZj41zbOEYAA22Bh5sfHDN+27Wa7m/q4rdzS5OT0UZWEislDDaTTo+t7Met+XGuX7XE86FeXXyVVIDYwiyQpevj/1PPMe7/vdZTC0QyxQpl1PsMPciZstMLvkR4iWM6TK+UpFUMUkutIhi1BAUREIGG067i5baGqqqq3D63Ni9ZqwuAyUBlgolDIvbORWe4thigo7cFDa9jfYWB522IcbnsiQzBnz6Lr5/PkyXr8ChDi8OsypW3uPbyt8uvkFS1vNOYJIu68Yu0BtRyGZZGr1CYGoCqVwinS9zJZBCctRgbGjn8/f2kovn+dNXRynKCgOUuMegijEaqxXnc8+RfOUVSotLlBWYx4jG7aBnSy2e3V135FvDq6JVXpZxWQw83OAmlSpycS5BR/X65YKffKNDCAh0NvZzzGghWZb41lIUmWu2wPplwarFpL/mhrMYeS+apKQoXE7n2euofGtaoUKFChUq/KyjKAqxv/prNYC9UFiZbtq1i/p/94dr8kIrVNiIT41wFYvFcDqda6a7XC6i0egNl33mmWfYv38/TU1NTE5O8o1vfINDhw5x/vx52pbzSz5OMpkkmbxWQrW0pAoZkiTd1rfqN0OSJGRZvivrXo9yqcToqRPIsoLZ4aS2q3fT2/a1dxKYnCCXSjJx9iRbH3psVZ5QaC6JrChYHHr0Js2G69XqBdz1ZkKzaRbHY3gbLciihEbQrAoNVySJzPsfkL+stm/XOByY9+9ncOwdygHQSAIdfoGk/22Ed99F19yEoasbfUszgnb9S+BGxztz5gyyIqNxutA0NX6i90TT2EixuRGDTkNpSURU7NiUJI5dvUTyVgq5EmNnAji8Jpr63Rgtq51GhVyZkY/8FLJlRFEgWj+NYijQaGnCrrOvGVtodppMPA5AfW//yuuOmlrkgQsUcjnioeAasRHgnSsBEtkCoiBwpLcKEeWOno82rQ2vwUtGyXAlfIUmaxMA3T4Lc1E3k3EbswGZ9yeu0Om4vc6QFrcXi8tNKhJh7vIg9uq1brmpcIbXhwIUyhKyIuN0BoiKV1CyaulYnbWO6g4t7wyVSOWKjFyU2KKVEUw6lGYXiXyCRD7BYmqRK5ErHKo/RFN9Ex37Ba6cOM678wWSyig1DiPb6vV4yzpQzMwm5nlz+k0kRcJr8nKk8QgobHiMTVqB+zo97Gy0c2YmTr4kcV+nF4th42vqeiRJYimzxCn/KQrTfkgX6XB2sufgY9jNTp5ufZozgTOcC54jqcgcF0c42HqYUG0PQmGRKk8Ol5xFtxBEklKUnSIJg0BJUySsCRKJBfFldDhDVop1TcSrG4iKGhQFZKWGrBCjJOWYik+zu2oLtuIgOdFPX4vAVvs+Jv0GopkiI/4Eo/4E26p07G33YbGY2W538X4szcnIIr/a1Iv2FvLKZEli+uI5QtOTyLL6nmZKMsOSg3L3VkxWG5/bUYfboGFwNMF+j42TyQwlo8APLi7w2e11andGnQ7rU09RnJhgXjGiWSiiFQS6drWgGHXrvge3ch8PFEp8NxgnL8kYRIHnqhwkdAZ+OOhnJpJmMZbBZ7/Drqt8AiGmNirRVvfxtN3Ot/0xpOWg93qjjgMOC81GVbC6evwAdECnSc9QOs/FRJqdFsNPREj73fzb+aP6e1yhQoUKFSr8NFIOh1n85/+czHvvX5uo0eD9jX+A9+///Q2fwypUWI/K2QL80R/90cr/Dx8+zKOPPkpPTw/f/OY3+ZM/+ZN1l/kP/+E/8Du/8ztrpkcikbsS6i7LMomE2l1M/BF0WZgfvEgsFEQQROp37CFyE/Hv4ziaW4mcOk42m2H47Cm8LWpQu1xWWJgII0sKtlqBUCh0w/XoHBK5bBYlo3Ds9BnO8CFmrZluRzcd9g4MRYXi0aPIAbUrn1hfh/7++wnrBC56isiOLrqKHoSAhezCPEgyDA6pP3oduj170HZ3r9nuRsdbTiQoDA6BoqDbsYNwOLxm2VtBliT8szNkEwU01g4kRy3uvVsxWrVoM2X8Y2kysSLZTAb/XARvsxlPoxlRI1DMScxcjFPKSQiigKWzzHx2ErJQ56hbc2xlWWb01AmK2Qy2qhryskJ+eR5FUSgrUMxlmL4yRG3PllXLTkVynBlXs3n2NtkQCylCodQn2vc1x0KW8Qk+BrODDOWG6DX0roS8b3HBSZONcDrM0aEo+1zj1FjXdvVbj0Qhy0BwDrfRSbXJhezwkZydJZPJYBkZxuJWQ+8VReHCQpqz8ykURSErJzE5hpFLKSiBVWtlb9VeGi1qxlbTljzf/XCYjKQgGGzcs6cL7Eay5SzRQpTJ1CTZbJbvxL5Ds7WZ3Z7djFraCM1OIxbCWBZGCafrSMyMIhlEho2LlDwGrAY7+6r3kYgmNn3s+t0AGrLJGNlNLjOTmuHNmTfRlWT0UxFara1U17ZR1upXzp1WTStGh5EPAx+SlJJ86/IPyERbqZdacFnd9B/sYuFyknS0gM5YxtUkMRyKMBmJUE4lmUtnmUtnwR9EEc8hV9Ug1Tdjd7o4aPExFjmBVcqhD04SKatfBOzy7KLL4qK9VWZoKsGly5OUogFOF7JctFh5+nNPsltfxdulGLFSiR9OXGC/c/O5Z4HxUQJjVwC1C6dQ1ciFrJ2ioMMoiNzfZEQopBi6lCIezmEXBe7bYue0P81wNotYynFv63XnnsfD4FSCbDaHy6ylkI4TSq+/7c3ex0MliZcTOfKKgkEQeNxhQpOM40BBIxVJ5su8em6Kp/rubAc/3eJpDJksitZARrajSca5TysxXijTadBSL5YR0knCG+xfXUniVDZLBhgQytR+gqYad4q7+bczEonc0fVVqFChQoUKnxZSR4+y9M//BdJ1z5C6pibq//APVrqxV6hwK3xqhCuXy7Xy4fR6YrHYqtyrzVBbW8uhQ4c4e/bshvP81m/9Fr/2a7+28vvS0hL79u3D4/FQVXXjDlu3w9Vvdr1eL5q7nB2yNDZCPhLCbLbQ0NdPY8etu1uqqqqQkglCs9OkFuZo27INg9lMZCGN0WhGANr66tEbb34KFmNawvNpzoTPYWw0oggKw7lhRqIXqR+J0pmx4rVYMO3YgfmeexBEkfPB82iNWgyCgwd6fg6r3oqcz1OcmKAwOkZpcUFd+cWL2KqrMXR1rdrmRsc7PTSExmxCNJtx7d//ib8pSIQCGA0Gktkinrp6qpo8NLYu50ZVQX2zQnQxw9zlGKWiRCYIUqZEXaeDyEQcnWjEYBNo313FmfxxzJhxGpzsaN6x5oE2ODWBFtCaLWw5cBCLa/V1ke3qZmlsBDmbxuv1qt0NZTWc/NRiEYvFTJ3DxMPb6hHvUCD29UiSxBZpCzOhGWRkEroETd6mldd//X4r/+crSxTKEj+c8vNbD7SrzpcNyBTKfDQV4DsD50gX88AcWlGLXW9DSdnRywLuk/M0dpow6jRIskIwJSHqRWLlWapr5jEZZDSCje1V29lVvWtVtpaeAPVKgmm9noSzjpb2vXit10TrYDbI+wvvE8qGCMkh/ueVDykXW6lta8U5+DouPWTCQWy1NUxFZxHkIuaAgYM79uGzuTFa71IpGDASG+F06jQ6rQb7TI7O6q04HVVsO/wAGu1qV18VVXTUdfD23Nu8vTSOPpilqMxS3bKD2nofZp2d0dNqV8zGphr6dhopyDJn42nOLvqRFmaxhhaxImMrpLDNXsGd9VLT3sWItYdLkQFkypj1Zrpd3ex37iK6MEdkbgZzMsleq8JiWctSQo9SKnD00iw/f2QPLQk/C/kc5wsRnq7aXMmuIsvMnQ5jNlvwNDRiaNvKK5fD6Kwydr2W53bW4bUaKGRLzCQymC0W6jqd1Hc50Y6EuDQfZyal0JrXrXRrVBSF6GgGi8XMthY3VVUbd//czH08UChxNBhHYzLjFgW+4HNRY7j2njy+w8wrA0skJUhipqPqk2V8XTs4CsL0AljMKLU7MftqAagCNlsQ7VUUzhElUiyzqDeyzbs5cflucjf/dhauK3moUKFChQoVKoCcyxH4wz8k/q1vr5rueO45fF//OhprJUqgwu3xqRGuenp61mRZJRIJlpaW6Om5vTycG2G327Hb7WumazSauyYsiaJ4V9evKAqzgxdZGB5CFAVsniqatmxFFG9ve607dxMPLCGVioyfOk7Tlm3ElkAUBOxVJkyWzTnTGrrd+Bdj+POL2JNGOhtaWZq7QnZynDFZZtwk0NC1h11ba2jXiMjIDEYGEUWRHncPDpP68KSxWNBt24Zl2zakVIrkq69RDgbJvPMOWrMZffPqLnMfP95yNktpdBRRELHs2IH2DjjrMpEw+XQZUWNEbzBT02EnlA/hM/tWhKfqJgfuGivzIzGCMymK2TLTF9Vv+jUakc49PrQumckrk4iiyPbq7Wg/JqjJksTiyGVEUcBd37huKWBVYzOBiVEKmTTFbIa0YOCNoQChVAEQsJt0PLGtDp3u7t02jDoj7a52JhITjMZH2eHbsfJajcPGkT4frwwsMRoOc2Iyyv3da8PhE7kSZ2eiXJiLMBQeJlcurBxLSZGIFeIohgJKJE0oFyVkKOO0ubHqrIRzYcraOdrq02g0UG9t5HDDYdzG1SJfuVRi6uxptjvKJEQr1uoa3rwS4hf3Na2IabW2Wr7Y/UUuRy7z/StnmA7ogHlM5ShN9XZySwWcdXVMpKYomUFT1NJlbyc7v8TF+Vdx1dZR29GNw1dzR101F4IXOL54HACLv0S3qQ2jzkTXgYPoN+gCatPYONL6NKcW30EuBdHrypyS3sOZ0tBa04rFbiCXKhKcSeGstmDWaDhc5eKQ14m8rQelVCI4PYl/YpR8OkUmFmXizEcY9HrMugI5u4Arb8IbLjKQeG1lu6IoYDSbOdDbx9TMAheHZ8gsTPO98/Xsq2vgxcA4Y7kCoXyEGsvNGwVEA0uU8jlEUUBb38mrVyKUZbAadXx+VwOeZeExNBNX8+j0Guq7XGg0Ig/1+EgVykyHs7w/HsFtNdLitRBOF0gVJLWBRbXtpvfnG93HA4USz4cSFBQFk1bDF2vcq0QrgK4aO5cWkszHchybiNJebUOrWeskUmR5VYn2TUkuQS4Gggi1W+E2/85st1s4Gk0ylivyMALGdcb2o+Zu/e28218iVahQoUKFCj9N5IaGWPza/0FxcnJlmuhwUPu7v4v9sUd/jCOr8GngUyNcPfHEE/ze7/0e8Xh8JevqO9/5DqIo8uijt3ahLC4u8uGHH/KlL33pLoz0JxNFlpk4d5rg1DgATl8t3QcP37ZoBaA3mmju387k+dOko2EG3n2byHwJi6uRxt4dm16P0aIj4wqhZBSy0RKHNS4KQ2bGNHWMmhIUOhuJWgXemnmL49rjVJmryJazCAjs8q3vFdDYbDg+8zTx57+HFI+TfO01HM8+u6pDoKIovDf/HrFCDI/Jg/eKH0sugdlkx9h/ZzoUJoIBUpE8JlstrhoLbwff5/TsIg3WZvo925BRuzBKsoIsKGQ8IkvTCQoLE1TZ7Hzmswdw+sycXDqJoijoNXq63WtLH4NTExSyGUCgacv6YdY2jxet3kCxUOD900OMKFXIihrIvK3BwaFOLwbtJ39Qy6XVEkPTBo6iblc3E4kJwrkw4Vx4VUj8w519nFucZikC70/MU+8y01GtOk7C6QJnpqOM+NOU5BLD0RGKcpaGqhK/vOMg1VYXk7F5puMLzCcDZM9HKBVk5GyKgruKjCRgd5apcpaw6MzcU3cPXa6udUWj6YvnKGTTGDQiX3hoJ69PpAmlCpycinCw/dp4RUHEq+vAmBfxmmYp52dwpSeZQKF+axcL8QgFsYSQF9i//0lqzD4Ck2OUCnliSwvElhYw2R00b92Bu67hEx13RVE46T/JuYDaEdOdN+HMeNBbDdR392H33lj4GcsW8aabkKw27KZ5JEuRt2bf4rnO56hpdzB1IUTcnyWXLmKyquHwgiCgAdDrqevqobazm9jSIv6JUeL+RaRikZask1ggRpXZTE6MA6DVG/A0NOFtbMburUIQRexV1eRiEUYDMeKRKHrZgUajpyQWeXtpkF/ueOimx8A/MQZA0ejghxMZyrKCzajl87sacC0H2peLEqFZ9Rz1tdjRLAsvoijwRH8tf3tmjki6yCsDS/zC3kYmQ2qHVJNeQ80nyJwKFa8FsRtFcV3R6uoxvb+rir8+NUsiV+LifJzdzdeEVUWWyXzwAbmhIYw9PVjuvRdxMyJ7QM0IxOgAx+2fa71WI+/HUpQUhSuZPDvt5tteV4UKFSpUqFDhJx9Fkoj+2Z8R/M9/BKVr3YfN9xyg7vd/f1Md2CtUuBmfGuHqK1/5Cn/8x3/Ms88+y9e//nUWFhb42te+xle+8hXq6upW5nv44YeZmZlhfFwVaL71rW/x8ssv8+STT1JXV8fk5CS///u/j0aj4atf/eqPa3d+pEjlMmMnjxFdnAfA29hMx957EO/At8m+9k5ErRb/+Cj+qUVK+SyJwAiT54KkIy342juweapu6iiJO/wwp+BYhODYBF6zlu1V2zn0+BMsKBEGwgPMJmfJlrPMJNVw4Q5XBw7DxqUqotmM45nPEH/+e8iZDMmXX8bx+c+jdbkACOaDXI5dRhRFgslFGk9cQCyWSXXWUJ56fqXzXpWpCq/Ji1l3aw9oUrlMYGoRqSRhtHqwtWh484MQiYyRmUCAmeAVai21a5ZThAjl7DSBgsilMzl2HrqHy5HLAPS6e9Fr9Gu2M39lEABvUzNmh3Pd8QiiiOisZuDcILnAOEKPF7tJx5FeH02eT/bwWSrkCc/NEJqeIh2LIIgi/Q8eWbdTZb21HovOQqaU4WLoIg83Pbzyms/sY3uzgXROIpIL88ZlO+Dj8lKKiaAavCMrEtOpMarcUWrcRR5ve2hFzKu1VnNv4y4kWeKy/STDpz8kWUpRcBrBqENAYIu3n/21+zFo1n/Yjy4urAi8DX39NLbVsVQIcGk+wempGO1V1pXQ7FS+xA8uLiKgZWtVB83RMFMpIwVNmUCDDDUOhKE0TZpayjNBhD4fu578LJH5Wfzjo6RjEXLJBMPH3qdl+y7qum7fPXoueG5FtKoz1uCbKZMSy5gdThq33LyD6mAkjRAt4jM5eGB/O0ezr5EpZfjh1A/5XMdz6IxaSvky/okErdvXL5cWBAF3XT3uunqyyQT+iVFC01MYtUY0Wh3uhka8jc04qn1rRHN3bT01VS4UYDw6R8lsg7QVyRPldCzIZ4tprPqNy+by6TTRpUUW4zmWnA3IRlW0+sLuBpzma9dMcCaFLMmIGoGq5tXiqlGn4ZntdXz79By5osRLFxbRaVVhq9Vr+UQltO9FUzcVra5SbTfSV2tnaDHJR5NRemvtmPVaFEki9dbbFEZH1X0eukxxegbrA/dj2KDRCACyDMFl4cq3BT6Bw8+i0dBhNjKSyTGQyt6WcBUulnFoNejuQklyhQoVKlSoUOHOUVpaYvGf/p9kT51amSbodFT9k3+C+1f+t1tzf1eocAM+NcKVy+Xi7bff5jd/8zd59tlnsdls/Nqv/Rrf+MY3Vs0nSRLlcnnl99bWVhYXF/nH//gfr7i1HnroIX73d3+X1tbWH/Vu/MgpF4sMH3uPZFgNN6/p6KJ1++47dpMRBIHqljaqW9oovz6EVBpDliIIgkJodorQ7BRmh4uatg68za1odWsf1pLFJOFiAG0mTE2sk0DJSs7dTOs9+9BYLTQLVprtzcTzcQYjgwxH1ZLR3b7dNx2fxuFQxavvvYCcy5N46SWcX/gCmEzMpFUBzKw1U7uYQShDWRRIdNZQLiRIFBJMxCdW1nVfw330ezfvxEqFQyTCapR2dVsDw5lxEhn1Yd1ikkjJ07SZbNRafYiCgEZUf5LRYYIWPfmSxNDIDPHoJGlHAk2je93tBybHKOZzgEBD7/rjK0syp6ainAqJSIUyFOJsrdZz35bG23ZZyZJEbGmR0MwksaVFFOVaBzJFlpm5eJ4tDzyyRrQUBZEtni2c8p9iJDpCtamarVWqsCIIAn2ebsKNpxmYjJArNvGDi0sry5oNAjntKN2eBTQauL/h/nUdaBpRw5a+/eSn/ZTyOTxiC+a2Jmx6G06jc8N9KhXyTJw9CYDV5aG+pw+Aw51VzESyJHIl3hjy84v7mpAV+P7FRdKFMjqNwAFzglRQYItnC8KWGoakScqaMvuPPItlPE0yHGTu8gDFfJ62nXuoam4lFQkzdf40mXiM6YtnKeayNG/beculg+FcmNP+0wC0OlppDVgJ52cQRJGOfTcXqeOlMoHpJBrAZ9FT3+TlsfxjvDj+Isliknfm3mZXy70sDMcJz6ep73bdNL/ObHfQtnMvTf07yKeSmB3OG45DEEV8rR0UshfpyqcYlSVqNFbOz8fRNRm5FB7kYN2BdZdVFIUzZy5yYTZGES00V+Mw6fjCrgYc5mv3HFmSCUypIfGuhbOk/uootsceRd9wzYHkNOt5elst3zu3QCJ37VvFNu/tZzZEimWmcmpe0iMe+w1Fq6sc7PAyFkxTLMt8NBnhwQ4Pyddfpzg5BYCuvp6Sf0kV5V95FUNnB9bDhxEt64wzNgXF5Vh/3yd3k26zmRjJ5AgUSwQKJXyb2J+rnEtmeDuSpMag4xdrPGgr4lWFChUqVKjwE0ny1VdZ+le/g5xMrkzTd7RT/81vYrwLUT0Vfrb51AhXAL29vbz11ls3nOfdd99d9fuBAwc4evToXRzVTy7FfI4rHxwlE1e7xTVu2UZDb/9daWGez5QoF014GrfRut1FKR8gMDlGLpUkm4gxef40s0OX2HL/w1icrlXLjkXHKE5N4SymacaG0lBPubaO8fNhTONJ6jqduGstOI1ODtUf4kDtARRFWRWkfSO0Xi+Op54k8f3vI6fSJF56CetnP8tMZgZBL9Dr6qbz3Bjl6h3Q1kxf/za1jC0fJpwNkyyqN+sz/jP0unvRbLK8cm54FqkooTVYaNpSw/cuqLlDtdYq9vTEiRXCCMJp9nd8lhqLarEtF4ucHs5gr7ZyuWAln4ww7F/EmMjgSumgIQfV11xmUrnEwrDqxqpqacVsX+tA8yfyvHnZTzhdRLG6MRp0tHlMbLOVb1m0UhSFdDRCaGaK8NwM5eK18GJR1OCub8BkszN3eYBkOEhsaWHdErhdvl0sZZaYS83x4cKH2A12mu1qBlmXu4tT/lO01aWIJ+K4jW7cFj07muxM546xkFGD9w/WHWSLd8uada+MR6OhrrOHmYHzROdmad26E71xfXdIuVgkPDvN0vjIckaSRhV8lt9rvVbkSJ+P756dJ5wucmIyQiJXIphU9/+BJiOpi2cAqG3vpH3LfnaWsqSKKXwWH3KdxOjJY0QX5lZKBbv234vdW8WWB44weuID4oElFkevUMxlb8kRKckS78y+g6zIWHVWdopdTM59BICvswfLBg6867mczCEG8mgFge42NfOpxlLD4frDvDf/HnOpOVyeKxi19chlmeB0koaezTXF0Op0WN0bB5pfT3VbO3NXBnAa4aArTy5mQp80szST5qhhjL2+3Wuue38iz7vDSyyeGUApy4g19WxvdnNPmxeTfvUxjCxkKBXKUCpgTi4g6zUkX34Z+1NPoW+81rmwwWXm4d5q3hhSQ+k1ovCJXInnU6poZNVo6LJsrtzQatCyu9nFiYkIgzNRui5+iCGoirimFheW2gRSbz/pwSAlv5/C2DjFuTmshw9j6O5efZ8PqI5M7LVg2dx7cSOajXocWg2JssSlVJYjN3C+Xk+gUOLdqFqm6S+UeCea5NGfgID3ChUqVKhQocI1pHSawL/+1yRe+v6q6a5f/mWqv/bbiMbbj06oUGEjKt69n1Fy6RSD77yxLFoJtO3cS2Pf1rsiWgFEF9UyLo1OxFPvoK6rhx2PPc2W+x/B09CMIIiUiwWmzp9BWc5VusrQuTcoRyK04mTrg230P7cLu0e9IeZSRSbOBbn07jyh2RSyrKAVtTcVrRRFQZavbUdXX4/tscdBFJCiMeZf+Bb5fIZ8UcC5CFIiiYCAe989tDha2FOzh8dbHufv9P0dfr775wHIlrOMx8c3dTwUWWH+yjQAnvpawqKf+aja/epAcyvPdDyFRWdBUiRem3qNRCGxfBznUWQZu0nPtv37SHdsZ1rjpFgW8eBg6L23GTt9glIhD8DS+CilQh5BEGnsXVsONh5M8Ten5winiwDsbPVy/+4eHCYd0YW5Te3LVbKJOBfeeIWBd17HPzG6IlrZvdW0797Pns88R9eBQzT0bcW2HA4/c+k8iiyvWZcoiDza8iguowsFhTdn3iSSUwPp7Xo79dZ6PPYynU1hnt1Zzy/ta2CxdJKFjDrmfTX72FG946Zj9rV3otHpUWSZxdHVzR0URSEVDTN+5iRnXn6ByfOnyaVUkbJ5+841ImCj28zOJicAZ6ZjjAXUc/5gmxt5eghFltGbzDRv3QmAWWfGZ/Gp+6vR0H3gEL62DgCiC3Nc/uAo5WIRrU5Hz6H7qWpWHaDhuRmufPgu5WLxpvsHaolgOBcG4FDVPcxeOK8eR28VVS3tN11eURSGpmMIJRmPXktNy7WmFH2ePnrdvQBcilwkV6VuJziTQiqvfV8/KXqjCU+D2mlSF1vgue11VJtslIsCJ8dNXAxcWZk3XSjzw0E/3zo1y+LUDEq5iNOs5+eeOMhDPb41opWiKPgn1evMqU2jXX5dKZVJvvwyxZmZVfNvqXOwt0UV5zqqrbftTMxLMkOpHADbbWY0t3AP3t3swq5RqDl1lKlLIwCY+1qw2OYRUkto/cdwdCtYD+5D0OlQ8gVSb75F8gc/QEqpAhHlAoTV0sI74bYC1Rm51aYKeVcyeYrrXOMfpyjLvByKIynKyjG4mMpyJZ27I2OqUKFChQoVKnxysufOMfXs51aJVhqvl8b/8d+p+b/+RUW0qnDXqAhXP4Nk4jEGj75JPpNGEEW6DtxLTUfXXdueoihEFtQAY3etBXE57FgQBBzVPrrvOUTXgUMAJMPBlawtgIWzHxCYVx/Iupt2Yz10L44qM70H6+i9tw5HtfpwVMiUmLoY4tI7c/inEpSKErlUkUQoS2g2xcJIjKmLIUY+WmLg3XnO/nCGM69OM3YmQDGvlo4a2lqxPfggANHZURzHxhk+l+WlHxwjmkmha2xAW7U2u8dj8qy4gS6GLq4R3tYjPJ8gE1WFmOZtbZxdvEwqq8Gqt7K7sRaLzsJTbU+hE3XkyjlemXyFfDlPZH4WAIevhkO9dSSVCInqOgK1O/B5VUdIaHqS8z98mcDkOIsj6oN8dWsbRuvq/J9AMs8PB/3IiqKWTe1u4MHuaqoaVWEgHvRTvi5g8UbIksToR8fIJdUHf6PVRuOWbex64rP0P3gEX1sHWv21wO6WbWpofi6VJDA1se46DRoDT7Y+iVFrpCgVeXXqVbIl1ZlytfwvwxxVdoV3F44ylVBLpHb5drGnZs+mxq3V6ahdPvcDk+OUCnnKpRKByXEuvfVDBt5+neDUOLJURhBFvI3NbLn/EWo71pYfAtzb4cV1XelZb62N+qKfdEx9r9v37F85Dh9HEEXadu2jsU8VGJOhAEPvvUUxl1UdXnvvob5HdZAlgn4G332LQjZ7w/0L58KcCahOr153L4XRBcrFAhqtjvY9BzZVEhwolknNqiJca70No+Xa/gmCwOGGw/jMqgA3IJwhSZxyUSI8l77pum+HmvZOAHLJBDVilqe3NmDSmojl9fzFyRESuSInJyP8+bEpriypQqM5uUhPjY17dnZT71vfUZQI5silVDHQpVfvVxq7DdFmRSlLJF55hcLU1KplDnV6+bv3NPNon++292conaOoyGgEge020y0tqykVOTj+EaZoiHi2RKq7F4tpGkGRYdkNKETGMeU/wvX4AfTN6rVdnJkl9ld/Te7SJZTQCEhltZtgde9t78fH6beaEBAoyDKjmfxN5z8aTREtlREQ+ILPRb1RvU7eCCeJlso3WbpChQoVKlSocDdRSiVCf/RHzPydL1Gav/asZn3wQdpeehHrfff9GEdX4WeBinD1M0YiGGDw6JuU8jk0Wh29hx7E29h8V7eZTRZXHgg99euHJ7vrG1a6ms1cuoAsSxTGxxk89SoAVoeXrse+sMoRZnMb6d5fw5bD9bhq1dyWYq7M7GCE86/PMPDuPCMf+Zm6GGJhNEZoNkUipD6cymUZFIXYUobB9xaILDvCjH19mPfvIRQdZyxgwb2Qp5QrciqcwOwDNhCltlWpnfrCuTD+jP+Gx0ORFSYvTKEoMgaLDluji/PzaslRva2aZo+6L16Tl8daHkMQBOKFOK+NvULMv6gex4YmCnIGl0sti9Ob26DnHpq37kTUaCkXC0ycPUm5WEAQxTXZVql8ie9fWKQkKVgNWr64p4FGtyoCumvrAQFFlkkEltgM81cGySbjAHTfcx87H/8MjX1b14hlV7F5vHga1PNubujShgKZw+DgiZYnEAWRVDHFa1OvUZJLtDna0IpaFEXhxfEXGYup3eK2VW1jf83+VesIZoOcXDpJIBNYdxu1Hd2IGi1SucSVD9/l7MsvMHH2JJl4FACjxUrz1p3seepzdB04hKN6Y5FCpxF5rL8GvVakyW3m3noT85fVMqyqljZcNXUbLguqENS4ZRttO/cCApl4jIF33iSXSiIIAs1bd6y8lk3EGDz6BtlEfN11SbLE2zNvI6fy6BdzOEayxJbU86Vl+64N35uPc2ExgZguYxAFujtca17Xiloea3kMs9YMGpkh4ymKSgH/ZAJFvrmIe6vYPFUr5cT+iTEebvGwpaMGGYGFlMx/fPsCxycilCQFg07kQK2efqeCy6JfEb3WY2lCFV2tbiO6jCo06pqacD73HBq7DSSZ5GuvUZhcLV55rAa0mtv7U6ooykqZYI/FiOUWXFtyJkPihRfwFJJYDVpCfTtZTF5GySdB1MLOL0HXo+r/ixk0U69i7zZge/B+BKMBpVQi/d77JJ//tup6dLeC/vZzuj6OTauhzaw2OLh0E9fUcCbHpeXjcI/TQpPJwGeqnJhEkaIi8/1gnNJtnkvpsrSpLxMqVKhQoUKFCutTnJlh+u/8HcJ/8v+oDV0AwWik5l/9Sxr+5L+i9XzymIEKFW5GRbj6GSI8O83lD95BKpfQ6g1suf9hnL673540sqCKQnqTFptnffuoIAg0b1dLqPLpJAsfnSD55htMihFEs5n+/U+j0a5f/mdxGujc46P//gY8DdY1HbG0eg1mhwGnz0x1i52GHjdtO6tp2uJB1IqUixITZ4OMnw1SiiyRLB7jhLOGtGjGVNaBRse80U0gOgaDz6ulNR+jwdqA26iWDV0MX7zh8YguZUgEVBGlurmKidw0oYQWjahhX2MTmuvCiJvsTRyuPwzAwuwYU/FJBEHEXd/AYHgQl71ErVvBY/RwYiqGraWTHY8+hfM6gaSmrROD+doDabEsrwoNf2ZHHTbjtWOrMxqxedVuf9GFa9+obEQ6Fl3J0arp6MLT0LipktOmrdsRRJFSIb/iDFuPWmstDzaqTrhANsDR2aPoRB3tDrXM7WrGWJ+nj3vr7l3Zdq6c4+jsUZ4ffZ6zgbM8P/Y83xv7HhPxCeTrguJ1RiO+VnVd6WgEqVxCEEQ8DU30HX6InU88Q31PH7pNWp9rHSb+wf3tfG5HLVPnTiLLEnqjiZbtuza1PKjHsfueQwiiSCGb5sqH7yFL0nWvHUYUNRSyGQaOvkkyFFxZViqXiS7O8+Y738L//mnK52eoj5rJx+MAuOsbqW69eYkggKQoTIyry9U4TDir189xsuqtKyKrYitytniCXKZA1J/Z9D5vFkEQqGlXXXLRhXns5RLbG6upbzSTVbT4MwEEAbY3OviVgy1UF4KIAhjMlg2Fw0y8QCqiiiu+ZgvloHo8dXV1aOx2HM89h8bhWBavXqUwsb5L8FaZzBWILbuJdtk3LxpJqRTx771AORxBEEQ6PvckdmcKTWKGQKoAnUfUvKr63bDnV8Gmiq3C4jmM2Y9wP/MIho52kAoUpybJjgfVboJ3mK1W1UG2kC8SLq7vmkqUyrwZVq/heqOee5yqoGrTaniqyglAqFjiaDS57vI3YiyT588XIwzmN+ccrVChQoUKFSpcQ1EU4s8/z+TnniN/8dLKdGNfH63fex7XL/zCXYuZqVDh43yqwtkrrI+iKCyOXGFmQM22MVqs9B5+EJPNfpMl78C2ZYXoovrw6qmz3vDmZnN78Ta1EBy+wsQr38ftc5B1gKGri+5qtXsb+SToTLBOhpXZrqd9ZzX13SXymRIGkxa9UYtGu7E+6/SZmboYJhXJEb0yQvL0JEPGDOOORqySyF6TizlJT9pp4MNIil8wjSFk/xz6Pw8W78p6BEFga9VW3pt7j6n4FMliErt+7fFVFIXFsTj5dASDRYe3qZ63F0dI5zRUmz301jrXLNPv7SdZSHJm8BXCuQyumnrQiFyOqGLR01vaGJ5WuwweHQ7yzPY6eg89QHRhnmwiRl1376rtvz7kXwkNf7y/Bp99rSDjrmskFQ4RXVpAlqWVEPKPI8sS46c/QlHkZWfSjg2P9ccxWW3UtHexNDbM4ugVqlo27uLZ7e4mUUhwJnCG8fg4ToOTLncXI7HlMlJXN/c33I8gCMiKzOXIZU4unaQgqfupETRIioQ/48ef8WPT29jq3UqvpxeDxkB9T5/qZlMUqlvaqW5tQ2+6/bBtURRYHB0lHVUzn9p270OnN9zSOjwNTTRS4nsf/DnOhBXPlUaa+3csv9aIzvgww8feo1wsMPT+29R19ZKNx0gEA6QLKUYilwGFKlM1XocPV209rpo63HX1m/6QMZnIUQzmEIC+DtcNl6u11nK4/jDvz79P2BhiuDiAbcKEu9Zyxz/UeJuamb50HqlUJDA5Tld9K+P1tQwrKczFMEe2bmeLz0e5VCI8Ow2Ar7Vjw9LIq24rg0WHTciQKKsioa5GFfY1NhuO5z5H4oUXkeJxkj/8IfZHH8XQubGDazOcS6ouo3qDflOdBAGkeJzESy8hJVMgCtgffZQqF+SnhwgDF0pNPFC1lZWr2uKFXf8bTL0PcychE0Yc/g72vsOkkhbycwrZiTD6sp3N9/7bHO1mA1aNhrQkMZDK8qBn9T1RVhReCSfIyzJGUeQprwPxunOl1WzggMPKR4k0F1NZGo16eq03L6eUFIX3oynOJDMossK5fIlDsoxpkw0NKlSoUKFChZ91yrEY/v/7X5J6881rEwUBz699marf/E2EDaIvKlS4W1QcV59yFFlm6sKZFdHK6vLQ/9CjPxLRKp8pMXUphH8yQTZRwF1/c0dBfWsHxbExSoUCF6RFDF3duGxVVJmqYPECnPiv8OF/gkvfgYVzqpB1HZKs8P0hP9++vES4WL6haAVgtOjo2WmmSX8WMTFJPC/yzlwLitSCt7+fQ/u6uW97M9qOXfgtXYxlTJCNwtk/h+Bql1CXqwuj1oiCwmBocN3txZayZOJZCtk4No+RnEVhOqyKK40O30q53sfZ492FM6cKH5O6AG/NvkVRKiIIAnvqtnK4UxXRJkMZxoJpBEHA09BI45Ztq5xqxycijAdVB9y9HV46qm3rbs9dV68ez1KRVDi04fGbvzxENqF2pWzfs39DV9xGNPRuQaPTI0tl5i4P3HDevTV76XCq4eVnAmfIlrLsrdnLHt8eHmx6EEEQ8Gf8fHf0u7w//z4FqYBW1HKg9gBf3vplnmx9knqrul+pYorji8f5X0P/iw/mPyAnltj1xDPsevKzNPT1fyLRCtTsrtkB1XnnbWpZt3PiZjhfuEzKKXNFmuI7g98mGF1cec3uraL/wSMYzFYUWWZheIiYf5GyVGYyMYVgNWBtb+TxZ/8ee57+HB179qtuuE3kWl3l4lgUQVaw6jS0tzlvOv8WzxZ63D1YXUbGSpcZi4yRit483+hW0Wh1VLe0ARCYGqfTpMNpcGJ1mPHWyJwIvsFCeoHwzNSKg666bX2XWSFbIrqkius1bQ7Ky25I0WJBtF+7T2qsVhyf+xwalwtkheQbb5AfGb3hOBVFQUqlKE5PUwoGV70WLpaZzqnX/k775s63UjBI/HsvICVTCFoN9iefxNDghSs/oNFtJmfwMmK7h1NT0dULihpofxB2/BIY7SBLMPkuVk8EjdkAJg+pt99F2WTg/2YRBYH+ZaFpKJ2j/LFyvxPxNAt5dZtHvHYcurXfpd3rstJwXd5VZAPn1lWSZYlvL0U5k1x+Tw06Puc0ob+F875ChQoVKlT4WSZz/DhTn312lWilra2l6c//nOqvfrUiWlX4sVBxXH1KKEklXpx4kVwpR6+nlz5PH0bBwNjJYyth566aOrruOXTL4sJmkcoyqUieeDBLIpSjkCmxuJTmvFiiKi+x9ybLy4UChbfexmMwESgWmHBJeDQaulxdCNkIjC3fPOUyRMbVH15Xy2A8HeDpZDBuZCGulvy8cH6BJ7fW0lF9gyyf4DDC6GvU6PPY27T8p4kOCjoFbQl2F7xIPVvoq7EyfG6BWaGeYzho132AppSFoRchuQhtD4IoohN19Hn6OBc4x+XoZfbW7F3V3VB1W8UoZGMYzFoMJi2zQpBwQodFZ2F7nW9VmeD1xBYXaHW0UpRLFDyWlSDyVkcrNr2NLXUKw/4Uc9Es744EaXKbMepWuwuGFhMrD7S9tXb2tqzNK7qKyWbHZHeQSyaILszjqF5bUpqJx1gYHgKgpr1r3Xluhs5gpL6nj9mBC4Smp9C7vLBOAD6orrYHmx4kVUypJYNzR/ls+2eptdaSLWU5sXSCkejIyvztznYO1h3EplfFuRZHCy2OFsK5MBdDFxmLjVGSSwyEBxgMD9LiaGG3bzfV5upb2gdFUZClMqV8gVIhT6mQZ2H4MrIsoTMYad2x+5aPC8Bscpa51ByO6hqyyQSRcpw//fCP+cKhX1kJpzfbHWx96AjDxz8gl0zgqPaxqItTaq5Ba9DyWPszuG23Vw6clyQWp1UnUkuTfaXL3o0QBIH7Gu4jkouQDE1wvniS+hEfew/eudDvq9S0d7I0Nkwpn0MM+nHrLbQ720mmUjilAD8Y/wGdM2ZMaPA0NKI3ru/U8U8lQVHQ6jV4G62kh1RxUFdbs8YpprFacH7uWeIvvogUjakf6BQZQ3c3SjZLORpFikQoR6OUIxGkaGyVGKTv34LSpZY5nl8WVqwaDV2Wm5ehFqenSf7wdZRSCUGnxf7UU+jrauDc/4JyAaPJgmnHM8hLEhfm4mxrcOA0f+yDpbMJ9nwZxt6AwBCCRsS2s4n4pAkpkSD94TFsDz246fdgM/TbTHyUSJOTZcZzeXos6vswly9yIq4eg20288r0jyMKAp+pcvIXixGyksQPQnF+udaDbp175WS2wCuhOPnl/I1ddguHHWai4fAd3acKFSpUqFDh04hcLBL6D/+R6J//+arp9iefoOZf/ks1NqFChR8TFeHqU8JEYoJQVnXGnPaf5tTCR+gXc/iyFjyCg5r2Ttp27r0lt8XNUGSFXLpEIpQjEcqSiuRXhTGXyxInDRIhvUjYrGFgKMz+e+rWLRtSymWSL7+CFInic7iZajBT1E2SCPrp2NICl19UBSu9BVruhegUxKbUblipAKQCFCaP89FCHeg8YLQhIfDyMT+PtBror9YDynK4ugIKkFyAgCq8oNVzwXsf4WwCglF6BR1O0czY6SA1LQXubfcwG80Sx8pAzRfYkXhLFa3mTkE6AH2fBb2Ffk8/54PnKUpFhqPDbK3aurKPMX+WbLJIPh3F5jaiMZsYTiyRyVtpcXjp8q3vfgKIzM2gEUT29BzmkslPuqS6prZ7twOqYPBwTzV/+dEMmYLEB2NhjlzX6WwhnuPtK6rjo95p4pHe6puWb7nrGlhIJoguztOyY/eq+dUSwRNqwLzZStMtlAh+nNqObgITY+TSaZZGLtO4gTMGQCfqeKL1CZ4fe14Na59+jW3ebVwIXaAoLXeEM7o4XH+YBtv6LievycvDTQ9zT+09DIYHGYoMkSvnmEpMMZuc5dmOZ/FZ1g9gT8ei+CfGKOWylAqF5Z88srS+C6Rt1150hltvCywrMscWjwFQY6tl39ZtvHzhO6RTMX4w8DzzLfs53HAYvUaP3mRm60OPAmpzgKNj30VQtPR7+zc8BpthYDaBnJcQgO1dHwvdzMVUx6OvfyU/6SpaUcvjrY8TCP8VS/MRXpp/gQ/feQdfrQuT1oRRa8SgMWDUGjFpTRg0BkxaEy6DC7vBjihs7h5lstlx+mqJB5YITIzRs+MAsVIZm2sPlux7pCIhBmdHaHW0sqXtkXXXUS5KhGZTAPha7IiiQNmvNlfQ1qwv+IkWC87PfY7ESy9RDkdIvfU2mQ8/RM7d3FmWHxigOD1N9rnnuJxW599hN6O5ybWYGxgk/d57oCiIZjP2p59GV10Fw69AOqjm+vU+wy5HC5ci02SLEh+Oh3l62zqZXjoj9D2jiv1jb6BrrsNc10329BnyQ0PoW1owtG1ctnuruHRamowGZvMFBlI5eiwmcpLMq6E4CgpunZYH3Rvf+wCsWg1PVTn4rj9GqFjinWiSx7zXPjzLisKHsTQnE+p90SCKPOZ10G0xIi1nw1WoUKFChQoVNiY/Msri175GYfSam1y0WKj5v/8v7M88U8myqvBjpyJcfUoYjak3GavOSiaXYmlqnHKxwCTQXN+FvWk7JaWMns1bOxVFoZSXKOTKFLJlirkShWz5ut/L63YNMzsMOKpNnIpnyJlKmMoyolbkRDxNdyCLq2ZtyWDq6FFKi6rTwfHgQ5SyZ2F8El1KQnvlA0gvl6v1Pg3uNjV0WCpBbGbFfXV2USZbKKMp+vm84wrvhOyEi1reDEPBk2K3K7v+jjoamKs5wqmhJLHCDDVNGe5pb8c4oQMJgjNJGkwaempsDPtTfLSQp/fAL2KYfgcWz6tjOPNnsO3nsVqr6HB2MBYb41L4Ev3efjWwWlFYGA2jICGQwmDWkjAVCMW1aAQNDfZqGlzrOw5KhTyJoFq+VNfcQaNvNz+c/iFVpipqLNcerl0WPfvbPBwbDzO4kKCnxkaj20wiW+IHFxeRZAWHScfT22s31QXNXdfAwvAQhWyGbCK+0skNYGH4Mpn4tRJBre72XXwarZbGLdsYPXmcVChAIhjAXbtx9z2zzsyTrU/ywvgL5Mt5TvlPAaDX6Nnj28NW71Y0G2RyfXw9+2r3scu3i7HYGKf8p8iUMrw29Rpf6PoCVv1qp142EWfo3beQyjcLehbQ6vVUt7ThaWi66TjW43LkMrG8enwP1R/CZ/YhBFK85/+AuH+JK9bLLGWWeKT5EWosqjNIkiXemX0HRVGw6W3cU3vPbW37KsNjqjvP7TZR5b2ulE2WYeC7kAnD4jno/SxUda1a1qa38ezWz/AX8W+RTRcIh+Jki1mcPvMNP/hoBA1OgxOX0YXL6MJtdOMyunDoHeu+p772TuKBJZLhII2lPCcASdCzr+lpjo/8KWkUpkvzNLHEDtaKkcHZFHJZRtQIVLfYkeJx5Kzq2NTVbXwOimYzjmefVcWrUHiVaCVaLGg9bjRuj/qvx4PG4SB7+jSZ8+eR/QHG//JbiHsPoqmuZptt48wmRVHIHD9O7pxa6q1xu3B85jNo7Hb13uNfLq9tPgiedgzAwXYvb10JMBZIMx/L0uDaoAzR1wdVPSAImBWF4twcZX+A9NF30Pl+AdFy5zoMbrOZmM0XmM4ViJfKvBdLkSxLaJbdVJsp42sxGTjgtHAinuZSKkuDUc8Wq4l0WXVhzS+XHFbrdTxT7cS1TtlhhQoVKlSoUGE1iiwT/fO/IPQf/yPKdV2+Tbt2UfeHf4C+4fa/BK1Q4U5S+WT3KSBTyrCQUtvcb7P0kBufwiHlmBH9aGtdyE4jHyx8wEn/SbqcXXTbevA5Ny6HSkXzzF2OkkkUNtXOXqvX4Kgy4ag2Yfea0Bu1zOcKnJgPgQD11RZi+RIzuTIXhsLcX2VCvE44KQUCFIbVEi/z3j1ot3QTGziG1mCgPmNg+vT79HdXIzQfUEWrq2h04O0AbwepXJGziSFQImw3B6i3a/iiJceLC3aW8lrej7vJaSzc680jiAIgqLkvNdvI+fbww1NzpEsZNLosrbU5uus7EOwC6SWB2GKWhdE4W3d6GQumyRUlzs4lOdj9ONjrYPR1KKRg+Aew+1fZ5t3GWGyMRCHBTHKGFkcL86OLJHLfQhE16IweFMXAghgjnLTiNrroqXEgblAmGF2YR1FkBFHEXdeAVq/nl3t/ed15dze7GAmkCKcKvH0lwBf3NPLSxQVyRQm9VuSZHXWY9Zu77K1uD3qjiWI+R3RhbkW4ysRjzF9RM7x8bR13pDNlVXMrC6NXyGYzzAycx1VTe0OBw2Py8Gjzo7wy9QqKotDl6uKeunuw6G79YVsraun19OI1eXlh/AWy5SyvTr3K5zo/h05UBblSPs+VD99b6cjpaWhCZzCiMxjUH6Nx+XcjWr3+EzkbC1JhRYzrcHasiJNbdh+m+EaSifIsC6EQYo2GF8ZfYI9vD7t9uzkTOEMkHwHgwcYHV5WpXqVcKqHRam/6rVkkmScSUAWc7s6PlZQuXVBFK1Adj0Pfg/aHoGHvqo6eDfZ6fvOhX+fc+VFCgRjFbBF9XMDVaqCkFMmX8+TKOQpSgXw5j4KCpEhE8pGV/biKIAg4DU58Zh9NtiYabA0YtUbctfUYzBYK2Qzl2UncNW1ES2XeDWboKNUwrUtSqLFwfPE4RanI3pq9K/suSzKBSTUjz9tgQ2fQkJ9U3VaCTovW6+VGiCYTjmefJT84iGAwonW70Hg8iBt0n7QePozo8ZB5+WUCsTiNb/4Q2/33YWlZ//pRSiVSb79NYWwcAF1DA/Ynn0A0GFS359XSaXcbNB9aWW5LnZ0L83HCqQJHh4P80v7mDUuQWT5PBUHA9sgjxP/mb5CzOVLvHMX+9FN37NvVTrMRoyiSl2VeCsYJFtUPxve7bFRvMpQe4KDTyny+yFy+yJvhBCVZ4Vg8TXbZVbXdZuYhtx3tRvtboUKFChUqVFihtLDA4j/7OtlTp65N1Grx/sY/wPvrv46grUgFFX5yqJyNnwLG4+MoKJTSGdIT44iyQruhiScO/BI5GwyEB5hMTFKUihwbPs3r0Q9orK+lr6WDBlsDDdYG9Bo9kiSzMBLDP5lcLqm7hqgR1Vwmsxa9SYvBrMNg0mKwaDHb9MtikEpOkvnORIiyJGFTBH69u5a/DsYYn4xzppineypJXYdzZf7sRx8BoHG5MO/bx3higrIi4fJWUTe7SKqsEC2a8bTev+ExOD4Zpay1YKiysf/eB0GnwQg8V5Z5+dIiM5Esp4Gcy8HDPdUrIpGiKLxxcZF0oUyiGKO7MYvDYKXaVE04E6a530MuWSKfLhG+HKO/1sbFxSTnZmNsa3Rird2mli9e+lu1ZDEwhK+mnxpLDf6Mn0vhSzjz1cxNfIQi5tEYi2DPkkxXExIVsnkNLZ4qOjcISQcIz80A4KypQ3uTMESNKHCk18e3T88Sy5b4/z6aIVeUEAR4amstXuvmO9sJgoCrroHA5BjRxXkat2y71kVQljGYLTRv27Xp9d1sW839OwgtzJOJxQjPTlPVfONypSZ7Ez/f/fMoioLH5LnhvJuhylzFw00P8/r064RzYd6ZfYdHmx9FUWRGTnxAIZtGEEV67r0Pu/fWcrBuhbP+s+TLeTSChgN1B1amm+0OGnu2IFxR8CTSBKtEcpoSp/2nmU5OE86pYtJ6JYKKLDMzcIHF0WHqOrtpuUnu1vmRCKAg6jRsb71OuCrlYfoD9f/uNiimVDfk+Ntq04LOI6ogvIzdZOf+A7uZGYoQnE5CGmyLRjr3+tBel8FWlsvEC3Fi+RixfIxoIUosHyNeiKMoCoqirLw2HB1GQMBn8dFoa8RY5yE/liY8N8ORri08H02TnptiNFOk39NHtM3IUiHAmcAZ8lKew/WHEQSByEKGUqEMgkBNm1p2VlpaAkBb7UPYRAc60WjEvGfPTee7iqG7m3C+ROro++izadrOnCRVzGG97/CqD4dyNkvy1VcpLalCmqGnG9tDD6ljKmZh6AU1YN1oh97/P3v/HSbHfZ7pwndVdc7d093TkxNmBmGQQYAEmAmCpCQGZUu25LA6Pjra1WWvjvV5pZV3j4Nky6t1WO3aWu9610HyWiZFSowiCGYi54zJsad7pnOOVfX9UcMBhjODQACUSPV9XbjQU1PhV9XVNV1PPe/zPjwvQIHW0fKeXh+PH5kimi1zfCLBlnbPFcemc7ux3n4H2VdfpTw2RvHMWcxr+6563y67blFgjc3M0XRuXrTqNBvZdJWh9G8jCgIfuSTv6qWYlsFmEER2eR1X1XGwRo0aNWrU+EVHVVXSzzxD+A/+ECWbnZ9u6Oig8U//9Ib9/a9R40ZSE64+AAwkBsinkphCJURJxWAys+qOe7C63LiBRlsjuUqOs5Gz7B7WcnOmwmGq5jxnomcQBAFvNYBpyo+laseqt2KxG2jsdmOy6jFadej04lU9fVdVlRejKUKxPKIqcKdN4tWZ53BI9VgcAYLpMicH43ibbRhMOirBIOWJSQAsW7UMrsHEIKgqnUqOerOBdK7CeCmAm6XbYM5mipwPac6JbR11C0LJDTqRRzc08eLZMP3hDGeCKYoVmYf6AugkkROTSUYiOUClzjOD1aTQ5eqa31dJJ9K1yc+5t6YpF6r4MjqMOpFSVeHAcIydq+uhrkv7FxuG0dfBt5J13nWEc2EmI9OcOjeMoB9Ab5TQG2WyhSlSkkis0IRFb8FnddLkWqZMsHixTNB7lWVnAaeJDS0ujk8kKZQ1J8JdPT7avdfuRvI0NjEzMkgumaCYyxIdHyOX1ErIOjdvva4SwXfirA9g99Uj57JMnDlJXXMr4hXEA4/pyjfk10KXq4tbArdwOHyY4eQwh42H8QRV0lEtH6xr87abKlqlSilORU8BsN6/HodhYffPppVriE6M4c5BQ8JFssfMhfiF+Xw7h8GxqERQrlYYPLhvvklDaGiA+q5uDJalzwdZVhgd1QSBpnY7xktD/if2acKJKEHPLtBb4NxPtHN/+jgUk7D6MS1HaQ5BFGjrq0NvlAj2J8jEilzYF6JnWwCDSfsTpBN1eM1evOaFLidZkUmVUySKCWKFGMFskHA+jKqqhHNhwrkwaqUK0UkcegfqoIv7Vmxm95sTFGSFYZefz3TfzWuTexhNjXImeoaSXOKe5nsIj2j76K63YLLNOevmhCt9w/W7CJfjlNVB6sEPs+bwPmyZJMWzZ6nGojgeegjJZqOaSJB+5lnklDY+y9at2rVRELQHCuef0bqpihKs+SgYFos/zW4LaxodnJ1Oc2AkRne9Haf5yp9V05rVlMfGKI+Oktv7FvrmJnTu5Zs4XAtr7ZpwBWCVJB70Od+Vo8umk/iIz8nj4QQqKl6Dnkd8Luqu0klao0aNGjVq/CIjJ5OE/r/fJ/PTny6Y7v7sZ/F/9XcQzbWHQDV+Pqn1h36fkywmGQ8PEQtO0iR4MdsdrL3vgQV5RABWvZVucQ079R9hu/EeVogrMWRtIAso4xZmj5eZmA1yIXGeU9IBJptPU3QmsbmN6A3SVd9gnMgUOJfIUS5W2SBLFB3DzORnyKRPkddPggAnKDN5Pq7ltxw4CIDOW4exu5titchEZgLS0/RUqrS3uMDTRbEsEx4aXLQ9VVV5cyCKqoLTrGd98+JuF5Io8OCaAOvmfjc0m+UnJ6aZSuR5c1BzqfhdKnb7XGaTa2E4uNVppGW1JpAUIkW6TJpr6cx0ilhWa2evdNytlUkV0xA8QqerE6togyEHs7mjiFIZT6ONSqGKrFYpWYaJpvT4zD566u3LlgnGgpOAiihKuBuvvsZ8e5cXx9yN6voWJxtaXFe97KU4/YH5LpTBC2eZPK9l6vjbu3AHls8Aerc09K5GEARK+Ryhwf4rL3AT2FK/hRWuFQAcPPoSF85p9unGnlX42zsvt+h1s396P4qqYNFZ2ORf7GaTdDo6NmoOn2IiyepKCw+0P4BRMiIJEve0LiwRLBcLnH3t5XnRShBEVFVh8tzpZccwPJYiV6qi8o5Q9nwcpo5or5tvAbMbdEbo+wQ0z7mO4qNw/B+hkFywTkEQaOpx077OC4JAPl3m/N4Qxezl88IkUcJj8tDl6mJrw1Y+2v1RfqPvN3ig/QFWeVZh1VsRDDqUOjPxYoxDx/ew7/jfE6hqn+WYv5kXY1nub9s134lxMDHIs8d3k01ruVSBLu26oBSLyHFtOX1Dw2XH9W6JlatMlqvIJhNtH/so5k0bAaiGZ0j+8F8onDpF8oknNNFKFLDvvA/rtq0Xr79TRyA+or3uvl8rVV6GO7p9mA0SFVnltf5ZVPXKZd+CIGC/9x5Eixm1UiWz+yXUGxRu7jPo6baYMAgiH/Y5sV6Fo205Wk0G7jKcp085zC/5DDXRqkaNGjVq1LgKsm/tZeThRxaIVjqfj5b/8TcE/sPv1USrGj/X1ISr9zlHhvYSm5rAgI4Weyur7rgX4zJOivh0DlGQ8EkBVus3sCa6g82z99NZWoPX5MNk08HKFNWmFOO5MZ4ZeYZUKXXVY5ktVXgtniaXLNGkSHTpqwQVrcxNEMAtjBHXzxISqpwNpkmeG50PZLds24YgCAynhlGKacTkOJ06B7aO9fjWaOVSU+fPUCmXFmxzPJZnIq6Fru9Y4V02dFwUBe5d6WdbhyZATcTzPH5kCllRsZt0tAQSCIIm8NVbFoc417c7cAU0Z4MzVsGIgKrCW0NRjqZy/HlU4UzdnNAwvg+hXKAx2gsFibJwBrvfiM3WjpxupFDNU9YrVEpV6sweegKX6SY4NQGAq6HxmtxNBp3IJ7c088iGRu7uuXIHweUQJQnXnEA1MzKEqigYzBba19+YEsF3YrI78LVrJYJTF85SKV25U9uNRhAE7mm9B1fBiDIaZTQ9iuSx03YdnROvhmA2yEhKEyW2NmzFIC1dFupuaMLT1ALA+OkTtJqa+Pzqz/Mrq3+FJlvT/Hz5VJLTCXPdzAABAABJREFUL79INqHlRbX2rZ9/36IT4+RTyUXrVlWVc3Oh7Eavic5Lg71HXtXK0wwWLQz8bURRE1G679c+6LkoHPt7SAUXrd/f5mDFJj+CKFDKVzi3b5pcqrRovsthlIx0ubq4p/UePr/683y699PcsuFezZ1WqFAeCFEohugKBMDhYjBf5JV4lnua72G9T+vCGRyOM5oaxeY2YXNrQvTbbitYvqPg9XI8o12rrDqRHrsF244dOB58AEGvR8nnyb7+BmqxhGA04nz0UUyrVl1cOBeFkde01/5V0LDhstsyGyTu6NYcbCORHMOR7GXnfxvRYsF2770AVGdnyR8+ck37eDke9bv4161+2sxXX7K8FIXCOHWlU/QKo8Qiz6IoV2qYUKNGjRo1avziohQKhP/wj5j8wheoRiLz0+0PPEDH0z/BdscdP8PR1ahxddSEq/cxseAUB06/DIpKa3UlqrqGU6/McGLPBP0HQoydjjIzmiYVKVDIlomHtTKNQKeDdKzI7FiadKhEnbmO7Zs38GuffJRf3vIp7my+E7POjKqqHAlf3U1LWVF4OpKkXFUgXeHWqo6oawIFBaNk5JbALXjFAnpzjGglyhGhyOBLp1FV0Pn9GDo0sWIweh4i/bRJVkwWD/Q8SOva9YiiRLVcInjuzPw2FUXlzUHt4tvgNNFTb1tybG8jCALbV3i5q9d3yTR4YE2AyawmGFxaJvjOZTvW+9CbdIgqNBXmbvIjWZ6ZjqOgcsq5BiQdVEuE9u3HmnFj0GWQ3FHSQgKx2oRaqSedV5kpeXEJJZwmI43OpcOcy8XCNZcJXorDpKfLZ1vWzXW1eBqbFvzctXnrFbO2roeW1WsRJR1ypXxZZ9DNpJLN0zJtRC/qUc16znuj5OXCTdueoirsDWplvF6zl5WelZedv2PDZiSdHrlSZuzUMfSSfkEwfTIc4vQruynlc4iiRM+2HTSv6qO+c8WcsK0ueWyn4nmCUU1c6VrhQnz7s5AYh8hce+SOOzWn1Ttp3qK5ryS9Vk544p9g9sKi2TyNVnq3BZD0ItWSzIX9IdLRd3dsBUGgzlzHtp672NR5K93uHtRShXw1T1uHm/V2TXg7mclzIJVne+N2+iwbIG0gUUrg7bjY5bAa1vKkpDrPsgHr10NRVjiX04TYDTYL0tx2jd3duD75CSSn5vwS7TZcH//Ywi4+igznnwalCkYb9DywIAh/OVY3OOa7lb7WH6FU1dxTqqqSrFQ5ny0QLi0WfYwdHZj61gCQP3Jkgah3PQiCcN3B6aqqkkgcmP+5XIoQjb58VY6yGjVq1KhR4xeNwpmzjH78EyR+8IP5aaLNRuO3/4Smv/jzGxYJUKPGzaYmXL1PSYSnObjvefLlCrZ4Fy3G21AV7e0sF6qkIgVmx9KMn4nSfyDEwadHCPYnmJ3IEJnMzoevlwtVurf4aVnlQdJJuEwu+rx9bK7XwpsHEgPEi/ErjuflWJpEpUohXea2sg5BKDOtGwNgnW8dtwRuYWfbfXQa0lRtOfqzIc4USqRKRqy3am6rTDlDaHIvVPJ0G9yw6hHQmzFarDT0aDfyoeEBCtkMAOdCaaJZrQX6HT2+q3YVbWp189DaAHU2A/eu9GM25+edZV3Oi2WCcrXC2MljDB89hFytoDdIdG30gSBQj4iYqTIuyIzGcqBCWJGoNG8jmTEydTaETq7Q1JwEW5VwKUsuLpCrZElU6pnJubDo9DTZo8uOOz51aZlg05LzvBe4GhoRBO3c8rV34m64uWMxmC009WpOk/DQIJlY9KZu751USkUu7H0dSRFYWb8aw5pm8mqRn47+lKpSvSnb7I/3z4erb2/cjihc/tJstFhpXr0WgMj46LzACZoz7vxbr813QFx91314W9sBzUHXvEoL3IwHp+ZdVzlZ5qVoisfPhqmoKuhFNr5dXqooMPyy9trmg8D65QfmXQEbPwdGuyaynH0KJg4ums3hNbPytgZ0Rgm5otB/MPyuxSvQBJFAVw8OgwOb3g46iUFpmvs8drotmgi1N5nhZCaPPTRXBmiUqdhz8+uoTM/lWwVuTpngmWyBiqKiEwTW2Rda8XV1dbg+/SnsD+zC/elPo6t7R7OB8b1a8weA3g+B/uqs/IKgOU1FEWaKFX5wPsRzkST/fTLC/5iK8GwkyT+FYkTKi8Ur244dSC4XqCqZl15CKZffzW7fcAqFMUol7VhYLNoDj2y2n1Tq6M9yWDVq1KhRo8bPFWq1SvR732Psl36J8sjI/HTLli10/uTHOB999IZ1D65R472gJly9D0nOhLnw1htMxHPYZ3rxWbpwWlw4fWa6b6mndU0d/jYH9jozeqOW/VHIVFAVFUEQkCsK9joTTr8Fb7ONVGTxDePqutVY9VZUVA6HD192PGezBc5kC6DCipSCXxWJOCZQRQW9qGetV7vB7vX08tnOu/FYi1TlJK/XwbDgQpzLbhoefQU1E0YvSLR1PQiulvltNK1cg95oQlUUTr30Akd3v8DTrx4lHZmhXizgVAvI1asvF1kZcPD529pZ1+xiODkMaGWCAatWIpRLJRna9wahwX5mRgY5+/orVEpFHF4zjd2aE8WlikyXK2RLVeK5MrKqMmZbx3AoAKqKqXye1lbN4ZAWPAxPnCWSj5AyBiipfgyiHq/hNPIyTp7oXJmgu7FpPmfqZ4HeYKRryzbqO7vpWH/5bnQ3iqaVazDZHIDK8JGDKMqNydm5Eooi07//LYrZDIIosuWuD3Ff74MAzORneG3ytRvu7KjIFQ6GNHGn3dG+qCPgcjR092Bxak/JRo4fRpFlxk+dYPjoQVRVmc+7c3h9C5bztXdgsmnlqdMD5zmcyvG/pqKcyOQhVsIgCmzp8OA3zbnqZk5fFE1W7FzQwW5J7PWw+Ve1/wGGX4FcbNFsVqeR1dsbMVr0qIrK+JkYqvLuj623tR2dwUCTrRGx3kGsHGc8M8aHfS6a5vbl6dEYo5mqVobZnGOmoO2XKstU58Q/feONF64UVeV4es7JZtRhWaKkWTQaMfX0LM6XSAVhfL/2ummT1gjiKoiUKxxL59ibLxB06zkmVnhuNsnhWIbMJblVsqrybCRF5R3HXjAYsO+6H0QBOZUm9ZOfoOTz17DXNx5VVYkntGNhMjVSX/8wVqt2POKJfeTzYz/D0dWoUaNGjRo/H5QnJhj/lc8R+Yu/hKr20FXQ6/F/9au0/v3foW/62T0Qr1Hj3VITrt5npGZnOP3KG8xOGcgmLdgcdfidPro2+ujZFsAdsBLodNK+zsuq7Q1s3NXK+vtacHpNuANWWtd4qO9w0ndXMytvDSCIApGJDKX8QtFHJ+rYUq8FLg8nh+fdIO8kVq6yJ6p19PNVYUVWpaKWmTZpyv6aujXkS6JWQgh0uDr4NWMTgi5N1qBnnwtOnBqAYoqBoecA6HS2o++4c+F49Hpa+zSnh1ytcHwqTTSWIBOZoW72LKf2vMDBp/6FI88+xdnXX2bizClURbni8VRVdV646nR2IggCM6PDnHllN6Vcdv5JRDYe5exrL1Mu5GnqdmF1G5m0glRSMVZhNlFArqocOptAtrehkxTqPW9hUco4TXUUVQ9j0wPEiwliogu3rRubUaDOlFtQ9vI25WKBdETrZFf3LsoEbzT+9s6bXiJ4KaIksWLLNgDy6STBC+du+jZVVWX0+BHSEU3A6Nx4Cw6fn2539/xnYSAxwPHZ4zd0u8dmj5Gv5rVS1sbtV15gDlGU6Nx0CwCFdIoTu58j2H8WAIevnr57d2G2Lc5PE0WJ5tVrmZKM/Lgk8FJwhqKiYCirtFVFNtqtrGmba3JQLcHI69prbze4269ucEY7bPiVix3vwqeWnM1k09O5URPWCpky0amry2FaCkmno+fWHfSs3kLjytUAHAkfQSfAR/1uPJJEKpJnr64K9XZwlQnntPLAaiSCOldGp78J+VYjhRLJuS+OfaZrEKHlClx4FlRFC8PvvOeKi6iqyk8jKf4uGOXlWJr+XIE6pxGTTkJSBdKxIrc7bXymoY5PBjwICETLFd5IZBatS19fj+3224G5APknfoScTF79+C8dV7lM9s03Sf7oSeRs7soLLEE+P0K5pJWHu923IggCPt8uDIY6UFVmZ39KpZJ4V+uuUaNGjRo13u+oqkri8ccZeeyjFE6cmJ9u7O6m/YnHqftXv4FwHc1RatT4WVITrt5HpKNRjjy7j8ikkUxVxei0I/qrbN+1Em+zfVm7ZyZeRGeQsLqMrLytgba+OqxOI/XtTnQGCVVRCQ4kFy230rNSCzyGJV1XVUXl2UiSsqpgkSQ2JFVEBEKmMdArSIJEJdfC3+8b4/sHxilWZFRFoef0MHeXDOgsMuMOJwdOnGLv3r8mWs6AqKOn7zNLujr8HV2s2/kQgXW3EDY1YrY7WOUz4zBc3O9yIU9qNszU+dPzndQuR7wYJ1nS9r3D1sbg4f0MHzmAIsvojSZW33kvXVtuBQTy6SSnX3mJYj5LdZWThF7Ab9DhnimhLymcG4kzUSiBvYHOHpmibgbio7T7bkcOZihU8yioxGUHXksDfS1tCAKkM2colxcKg1oou4oo6XA33Pjufe8HHD4/9Z3dgBbMn09ffaOAd0N4aICZkSEAGrpXUt+5Yv53twRuodOpdRQ8GDrIT4Z+wtGZo8zmr65b23JkyhlOzJ4AYK13LS6T65qWd3h9+Du0cRbnSmh9bR2svvMe9IalA7BnShVe0ds55PSTlXSkIzOssZp5VGemxWRArxNx+OZcPxP7oZwDUYKue69t53QGqNfKEgmf1koOl8DuMeFu0PK5pvoTyNUrC87L4Q400rnpFra13AZAtBBlNDWKWRK5LSVgrKooIgw31xFTTAxlo+SqVcpzZYKixYzoXNyZ9HpQVZWjKc2p1GTS49dfwxfG4Ve1bo6CAKse1o7pFbb1cjzD6ay2PZMossJi4l6vk9/ubeRWVUdLXsWck2k2GWg3G7nFqR37Y+kcI/nFQfnm9eux379zznmVIvmjH1GZmVk03+WozM6S+JfHKZw4SWV6mtL5axeiL822MpmbMJk0Z6IoGqivfxhRMqEoJcIzz6Io1xb4X6NGjRo1arzfqcZiTP3rf0P49/4D6tsOaUHA8+u/TvsTj2Pq7f3ZDrBGjeuk1kP6fYCqqowMTnHyuXMIqhGdXo/UYEBsjONrcOJ3+ihWZH50bAoBgY9vbsKou3hzFJ/Wnm47vGb0hovTJb1IwwoXk+diRKeyNK5wYbJddANIosSWwBZemXiF0dQoM7kZ6q31qKrKVKnC/mSW2blslJ02C6nZCFW1Qsg8iiQIiJUmjs1qZXCpQoUXz4bZZUwjJxLcozMQW7OJ/skI4VSVEwMZhACY69fQ5L2kk9YlCIKAze3hQKiC1Qdunchnd3Rg0gmU8nkK2TSFdJrw8CDFbJpYcPKKbqW33VamskTk4CkKc+KI01+Pu7MHh8+PJEno9AYGDr5FKZ/lxKsvcaR3My6/hfpgHrNS5XQoT8gEaUHkwz1udJ5W5MEKlCo0FL0Yw0UKQN7nw6rzoRN1bOzcSCU9SLWaJRZ7k0DgsXnxMTY5VybY8LMtE/xZ07Z2A4npKcrFAsNHDtJ3z/03pR4/ORNm7OQxAFyBRtrXbVzwe0EQuK/1PtJDaaKFKMFskGA2yMHQQYySkWZ7M832ZlrsLfNi79VwIHQAWZUxSsZ5V9e10rZ2PcnwNOVCnpY162he1bfkMSrKCq8nMpzOFFBRcfr8WJJRtsWm2K6uYCaiCXBOvxlJEqGQhMk5wbppE1g81z64hvUweUgTv+LDmmtrCZpXuknO5KkUq8yMpmjsvr6g0GZ7M422Rqaz0xyZOUK90ERuIss9ip6DDTqqZj1nYj4oQ2p0ks5T53GnclTdPgrhBBZJxCKJeA06+mzm+SD1a0VVVfbE0kwUNSFlg90C+cXOpiWJj0BwLrep9TZwXtnWvzeZ5Xhau9732cw84HVeDNh3QiSSpz+cYe9QlBV+GzajjtvdNsYLJWbKFX4aTfGrTXVY3/E01rRyJaLVSvr5F1DyBVJPPYX9gQcwzjXVuNz+F46fIHdgP8gXBcnyVBDLLbdc3XGYI5cfmhf43a5bF5zjer2Tev9DhMI/plKOMzv7IvX1D9eyO2rUqFGjxi8EmVdeJfR7v4ccuxjNoGtooPGP/xjrrdt+hiOrUePGUXNc/ZyjqiqvvDHEP78wyIxsRNDp6N2xisyqKQRXhR53DwBHxxPMpkvMpIscHLkYpl4ty/MZVp5G66L1+9vt6E06UFWCA4tLLHrcPTiNmgPhQOgQ57MFvh+K8c+hGOMF7WZsm9OGZaYMqsqUMIZgVZhOFonFtBstp1kTXkZmMxx6XSuzam5pYkNzI131dYRMJpSsG1VoY0XzjiWDqVVVZbxQ4kdTUd6c1sa5tcOD2SAhiCImmw13oJHGnpUEujQHSmI6eMVspOHUMEokg+Vcck60EmhZvZZVt9+NznjRsVLX3MKq2+9B0uk5UxUYHh5Ckirc3+hmi9vOSkHTgMt6gacjCV4PJVGMTsw4CL75Mn6TDww64jY/PrMXp1lPwGnD49HKcAqFCfL5UW0dhTzpqFYO42352ZcJ/izRGQx0bt4KQCYWITw8cMO3UcxlGTjw1nwuVM+2HQhLOP70kp6Pdn+U+1rvo8fdg0WnlcGV5BLDyWFen3yd75/7Pj84/wPemHqDE7MnOBs9S3+8n+HkMGOpMaYyU4RzYaKFKGOpMQYTg4Dm6DLp3l0nO73RxPpdH2LTQ4/SsnrtkjfrVUXlydkEpzJ5VFRcOh2f7Ghhl1TFrVQZO3mS1Fw4ujswV9438poWsK43Q9vt72psWL0XBZfQyWVnM9sM+Fq1ssbQcIpK6fozzW4JaMJIJB9h//ETqIqKz2zg8ysDBEz2+etMtpzBFJmloirMuj1MFEtcyBU4ls6xO5ri8XCcvHztLjBZVXk+mtKyw4Aeq4key9IuuEVUCnDhee21vR7ar3z8j6Ry7E9qpZbdFtNC0WqOO3t8GHRa6fbr/do1RhIEPuxzoRcEcrLM7mh6SRehoaUF18c+imi1olaqpJ97nsKZs8uOR87mSD/9NLm9e0FWEO02TGs1B141HEKtXn2jA1VV5t1WZnMLZvPiHDizuZU6j9bOO58fJZFcXIJdo0aNGjVqfJBQcjlCv/cfmPrSlxaIVo5HHqbzJz+uiVY1PlDUHFc/56iqypHxKRQFwjYzwvZOPE15qjMVBARWuFaQLVU5PnFRdDo+kWR1owOvzUginNdC2UXh4g3pJUiSSGO3i/HTUWLTORpWlLE4LpajiILIOv8WfjB6iP3RKp3yFDaDDVRQgXqjnk1WEwMTcWRVJmQbYTZdJJf2U2e20uqx8MiGRl44E6b/zAj7Ygo+q0TPtq3ssBoZrIxTMJvIOAP4C230efoWjK+sKJzLFjmeyRMtV7gQypBCZqNRYsPbXc/egaexhbGTx5CrFVKzM7gDS5faRXMRomf6UUJJXO5e9EYT3Vu34wo0IMuLb5xd9QFad9zN40dPoygyjpHztG3aQChp5HYRJo1lZvQq8XKeg2NFho1buK88TCoaw+txIK2/hdmoF7vBTk+9VtpptfZgMp2iWJwmHn8Ti6WN2NvdBCUdrmXGrihVBEGc7/b3QcbT2ExdcxuxqXEmTp/E09iM0bJYhH03yNUq/fveoFouIen09G6/87I5XnpRT6+nl15PL6qqEivGmMpMMZmZJJQLUVWqpEqp+S6VV4PL6GJN3Zrr2g+9wbhsaaA6J6AEi1pXuB0uO1udVgRVQd+9kplzp4kFk+iMaSxOJy6/BZKTMHteW0HHHaB/d6IaAIF1WsB4bBhKWTDalpytsdtFdCqLXFGYHkzS1le35HxXS5OtiUZbI0PTYxyNHOFu44O0rPZQZzPxRZsJb6nCeGaGTllitQQVi4lAdyc5h5W8rJCWZYLFMpPFMt+fjvLRejc+w9W5H98uox7MFwFYa7Owy+u4qtw9AAZ3Q0krnWblw1qp5mU4ncnzalzLGmw1GfmIz7VItAI0h9UKL69cmGVgJsPqqIMOr5U6g467PQ5eiqUYyhc5kc7TrtMTTBaYSuTJlWTu6PHi9/lwffITpJ5+GjmeIPvqqyjZDJZt2xYIpqWRUbKvvIxS0Pbf2N2N7Z67UUsliqfPoFZlKuEZDM1XFw6byw1SKWsPZNzuW1FVlbPTadLFCre0e9DPhd07HBsolyNkMudJJg5hMHgxmzqvahs1atSoUaPG+4n88eNM/+6/ozIxMT9NdDpp+P/+I46HHvoZjqxGjZvDB/+u932OKIr8+oc24GsU4LZGcm4Lj0+c5Hy2gNNcj81g48BwjIqsYtSL2E06FFXllQta9k5sWnsC7/Jb0C2TreJrtWO06DXXVf9FASxRqbInlmZPxklIbaCk6ghmg9TpdZgkEVCZLVd4fTxOtSwzqYwRkrNMxgvUG1bNi1Z6SeT+njqM4SAK8LqtDdntwTv5Bqurs7jsZdKNfayybaIUFue3/WoszX+fjPBSLEW0XCGaKZHOV1AFlYzbwFBh6RwTk82G1aWVGsWDk0vOU8xl2ffij1BCSXSinsbGTtbtfAhX4PIdxU4KRjztnZgkHWuKaQYOvEldU5mWVXXcvtrPuhYXBqsmWsQrHv5xrJeBihuHEmVj5y68xhZAoKdeu3kXBIG6Oi2IvlKcITX0Q6JHnodKAU9jE5LuorasKBWy2QHC4acZH/9rpqd/uGxHwg8aHRs3ozMYkasVRo4euiGd/VRVZfjoQXJJ7Zzv3rYdi+Pq840EQcBr9rLBv4GHux7mN/p+g0e6HmFT/SYC1gBOoxOr3opRMiIJS3/2BARub7od6QrCxPXwRiJLf047T25z2djutqETNZHB5vXj8Poo5nSkIrPY3EZ0ehGGX9YWtnqhYeNyq746/KtA0msB4zNnlp3NYNLR0Kkd/9nxNMXc1XcJnSc9rXXgq2rXhk3ezaSjBdJKkrQjgqfhouDZbAtgFmWE4AAevY6AxcTWrnburXPwEb+LzzbU8aDXiSQIpKoy/zQdZzBXvOIQyorCk7OJedFqs8PKA17HkkLSksyc0/4BdNwJNt9lZ+/PFXlxrkFGg9HAY/Wu+fd3KdY2OQk4NSHy1QuzVGQFVVVpFkT0BZnBmSzfOT7BX+0b5aVzM5wPZZiI5/nR0SCRTAnJbsf18Y+jb9RE9fzhI2RffhlVllErFTKvvUb6uedQCkUEvR77zvuw7bqPCmnywhQVQwZVVagEg1d1OBa4rSxtCLp6njsd4qVzMxwcifPj40FKc8H62vX0XoxGraNlNPLSovzAGjVq1KhR4/2MWqkw+5d/yfgv/8oC0cq6fTudT/+kJlrV+MBSc1y9D/B73fzmJ+/iXGiGI4rMqUIQVVU4U/bxQjDO+WASAYGt7R5cFj3PnAwRTBQ4PZ6kGNVunpYqE3wbURRo7HYxejJCIpxjJJLllFJhKF9CRRMIWu1NxFPHUQtjjKed2MyB+Sfsp0MZ7lbhiHyGULqIS99Mty8wL1oB0H+ee8Q4zwh28v4mXj54kodKx9ku6LjgW02+aKM/IRPrj5CTygQVeX7bIgL6QhVzKMfmmXHGGhuosxp4PqIJRKts5kX75GlqIZdMEJ8O0rlRWVD6lUsmOP/mq4RnxgFoWdlH3907Ea8gHsyUKpzJFtCbTDyyfi2WE1mK2Qyjxw/QtXkrHfYGRko5rLYEd3Rl2DsQIC05OF31I+l0uE8cAaENt0WPzz7njimmMUYmsM/OkMkPEikfITXpQhQN1K1fjaoqFItTZLMXyOWGUZTy/HhKpVlC4adoCHwUSVp8DD5IGExm2tdvYujwfhLhaaKT4/ha269rnaHBC0QnxgBoWbMOT+Pi8qNrQSfq5rOulkJVVapKlapa1f5XqhgkA1b9jXGPLcWJdJ5DKU28XmMzs8O10O0kCAKNK/sYOnYYVSkgihmYiUFaCyun694lGyVcEzqjJl6FTmn/WrZpYeNLEOhyMjueoVKqMnUhwYrN/qvfTioIJ/5JK29MjMG6TyGErLgVH1FhhrBrCLhomQ9YtO6BpekgVbUJs79xUaedtXYLHr2On8wmyckyP55NsMNl5zaXdcmSzIKs8ORMgumS9jm9zWVjh8t29VlLpQwMvqi9drVA8+VzoMYKJZ6LJFFR8Rr0fLzejfEK75coCty30s8/HZogVajwL0cmyRar5MsyZVTSQpWKoDIgKGwW9TQ5LcxkivM5ip/Y3IzXZsL56CNk9uyhNDhE8fwF5EwWJZ+jGosiKwXwGBFvbyVmPEF5/GVUVROXZNsMUqyMbtKPddvWKx6SbLafSiUJgGrYzD8fmiSeu3gdnEoU+PHxII9uaMKklxBFHfX1HyY4/c/I1Tyzs8+h119jY4EPKBcuXODLX/4y+/btw2638/nPf54/+qM/wnCFbrGpVIqvfvWrPPnkk+TzebZu3cpf/MVfsGHDhkXzfeUrX+Gpp56iUqnwwAMP8N3vfpeGhss/EKpRo0aNGldHaWSE6f/f71I8c/FBoGA04v+d38H9y59dMuqiRo0PCrWz+32CIAj49RKbTXFWmA0YJR0OSytPnQtxLJ0nL6qsa3bS5bPR7tVKAl86EaIsy4iSiKt+cZngpXibbeRsEq/rKvzNhRCD+SIqKhZJ4lanjXu9jchygVQlTyh5HJdOYrPDSqUoEy6WeS3dz2RFE5I2+Tfz6CWilVoukz96lIBOZnu3D9Eg0X/hDGczZlwOH2tbenH6LZw1Krwiljk+lkBV3962lb6ygBzM45gexhUb47HYeaR4BEVVeS6S4nx2sevobRGiUiyQiV984p6aDXPm1ZdIZRMUlBLS6kY2br33iqKVqqq8Fs/M5wPdWu+l7+6dWJxuQHPuGCMhSqUIBUXEalbYocvSahOw+RuIyhYGJ4JQLdLjFhCmDsOxf4D9/w2G9uDOGxERSSVlCkIOlRJK6PtMnP59QqEnyWTOa6KVIGAyN+F0bQZBoFyKEAo/hSxf2QnyfsfX1oHTr4kNo8ePUCm9+33Wwti1vDVPYzPNq/qusMT1IwgCekmPWWfGbrDjNrlvqmg1nC+yJ3axfOwBr3NJAUUQHRjMWr5UfvoI6tAr2i/qurR/N4LAOu3/fAxSy3f7lHQiTb0uAOLTWbKJq+wOV0jAmSc00QogMUbp9AuER1L06vqwuY1kSM83YwCot2quHGMsQ66cQ98QWHLVTSYDv9JYR/1cmeDeZIanI0nKigJyBaZPQDZCrirzw3B8XrS6x+Pgdvfy3V4XoaparlWlqDnUVn7ksqJhsFjmxzMJZHUus6zejVm6uj/pfoeJja2aK3U2XSJf1kQlm07iXpedVo+F9iYHa9cF+PjmZj62sRmDTqRQlnny2BTxXBlBp8P+wAOYN2xAVWVSA2+SGHudZPooudYY+dsgxyil0uy8aCWIOoR6O9VqmsTgK5Tzl3dDqapCMnkQgHChg6dOlrRtC3Bnj5e7ejU32nSyyJPHghTm9kOns1Pv/zCCIFKppkinX0FV3323yg8CiUSCe++9l3K5zJNPPsm3vvUt/uZv/oavfOUrV1z2M5/5DD/+8Y/50z/9Ux5//HF0Oh333nsvk5MLHc2f/vSn2b17N9/73vf4wQ9+QH9/Pw899BDVa8gzq1GjRo0ai1EVhfg//COjH/3YAtHKtHo1HT96As/nfqUmWtX4wFNzXL0PUMtlsm+9hdrezlBlCL9RzyZvN2XJwrFkDBWVlEPHU5EU99bZubvHzz/Gx4nEC5zTVbl3TQBJt/zFLFQqsy+R5awH4mEZ8jLmssodDU4kUWBfIkuqKuNzrqMQeRWfmOZee54WvY5XQ2FiCRgpnsbpFulwtvHLW/ouOq2AwunTKPkCiAK333cLiTdeZUyp8mrMSWD7Q9zmdnAmV8JVbyE2ncWeV7ilKHFbr5dXz2ulKmq1jDMXprvRgU5UWT96lkP5dsTGVp5bwnllcbow2ewUsxniwSkcXj/RiTEGD+9HVRRSSgbdumbMbhdNtivnrAzlS/Odwe702LVSHLOFNXffx/k3XyMbj1IYOIPSqH2kRmbNtCCxo0GHfd0OXn/tBfJlBaZP0C3MgPGSL/KSHl3dKlyWPoZn9lG25TGZEmTEKkRnoViPoWEbNvtqbLZedDpNZDDoPUSieyiXIoTDTxEIfAxJusrw5/chgiDQtXkbJ3Y/R7VcYuzkMbq3br/m9bwdxg4qZruDFVu3f+C6j4VLFZ6dTaGiUqfX8ajftWxnvORMHqe/nuz4JJ7wy+SFBqwen+a2ulE4m8FSpwlX4VOam2gZvC12wiMpitkKk+fjrLwtcPn3p1KE009AOa8JPp5O1MgFMqf2YdErNNRtoNzazXQhyJGZI3S5uhAEAbPOjFuwYUgXyFqz6C7jCnHoJD7TUMdPoyku5AoM5Ioky1U+GXsNS3yIoqLypqWHuO8WBMnILq+DdfbLPyxYQDmnheHHR7Sfu+8Hs2vZ2SPlCk/OJKioKjZJ4pMBNzbdtZWb3tZZR6FcpSyrNLnMNLvN+GxGRFHg5ViaY+kcRzN5Oq1G2pwmPrqxiaeOB8mVZH50VHNeua0GbHfcTlYdpfT6ETDrkXZ0I9Q7ECUTRoMPg9Gv/W/wode7SBmPMLv/u8iVPMFT/4uGDb+CybR0ll82e55SOcXRoJnJfAuSpGAxSHxobQMtHu346kSBl8/PMpMu8sSxKT6+qQmLQYfJ1Eid9x5mZ19CFC2o/GILV9/73vdIp9M89dRTeDxah9BqtcqXvvQlvv71r9PYuPR7cODAAV544QWefvppHn74YQDuueceOjo6+M53vsNf/uVfArB//35efPFFXnzxRXbt2gVAb28vq1at4sknn+RTn/rUe7CXNWrUqPHBozI9zfTXvk7+4MGLE0WRut/8v/B96UsIV3DN1qjxQaEmzf6co6oqyR//mOKZM2Re3k0oo+WCrPH0okSLrLebabSb8daZmSiW+LtglBfTGdxuE6VChcFMAcW5tD45XSzzRDjO96djjBRKmO0G6gx6bq3q6IvInMsWeSGSIlWVtSwefzcPBDpoMhk4NvUGHP5HsoPTBGfPUtTFcZj1/Ktb7sNwiUimlErkjx0DwLRqNbr8KA9YB7HpZKquLp4fKmAUBB71u7mjycVnvB4eqBowDWd5+sAE50Na6/jWaoRevxWDXo+nqQUzCttmRimPDFAuFXkukuLcJc4rQRDmXVfx4CTB/vMMHNyLqiiYrDaUvnoEu4k2R9uSXQwvRVZVXk9o42gyGRZ0BtMbjHRs3AxALjGBvRCjUioxlXYA0L5uIyvb6vncHavZ4MxzuzuBz1gFnQHq10Dfx2HHb8GaxxDtt1POiSDpca5eg87aiIsAzdk6miPgMq+cF60A7PbVeL2auFAqzRIOP4UsX6VD5X2KyWajZY3m3omMj5IIT1/T8kuGseuvLnD7hlMtz2cx3UhSlSpPziQoqwpWSeLj9e65TLrFqKpKMpzHWIrSahpCVKsk4kmUtZ/U8q1uFIIADXOuq9nzl91vURRoXqndWGdiBVKzl8lxU2Q4+xTkoto21nwUVj9GTmyilK/iTO2lrSnNtiatJC1ejC9wXTXmDaBCtpJFH1jacfU2elHgIz4nd7jtCAhI00c5M3qS2XKFM9k89vAxNl34AR8VQqxbonx5SeQKjO+Dg9/TyigBvN0XHWpLkKhUeTycoKgomESRTwTcuPTX/gzKoBN5sK+BR9Y3srnNTb3DhDiXjXWn247XoEdF5YVIioKs0OgyzzlpBbKlKj86NkUqX0GW8xRbM0gfX4/9M48QWPcZWlp+nbbW36Sh4WPUeW7HZuvFYPAgCCKuhq04GrcgCBLydJRQ6Emy2cXdQlVVJjh7mN0DdgbijUiSlQanic9ua50XrQDWNbvYtaYeQYBopsTjR6bIlrQHAw57H4H6x7Db70IUfrGf073wwgvs3LlzXrQC+NSnPoWiKOzevXvZ5Y4fP44gCNx///3z0ywWC3fccQfPPPPMgvW7XK4F8/X29rJhwwaef/75G7w3NWrUqPHBR1VVkk/9mJFHHl0gWulbW2n7/j/i/+3frolWNX6hqAlXP+cIgoB5/XoAElMDeE5PYZAMKOU6gokCFkniyxtbeLTeg2PuiftkscyAXGXEAGFJ4a3Z1IIw62CxzOPhOD8IxRidCzh36XSsd1hY0+zgtCTz41yG4XgeVGjS6fmUy8F2ycR6w3pyyTyj5/byj/1V4kmZim4ESchzlz5Jm+6iqKOqKtlXXkEtlkASsazugOFXsOhUHlzpQbAHiGXLvNYfodNi5G6Pg81rfag6kTPBFNNn4qCqbGyy0SJHEQWo71xB72130L5+E2ZBYEcqRGm4n3w6yfPvEK88TS2oqkp4eJDBQ/sAsLo8dN91FxGSALTaW5c99qqqUjh1ir1v7iM6G0WVZe7xLC79sbnrsLrclEozmCNRytkqUcGGw+vHO5fDZGnfzD0bV3LL6hWw9hOw/bdg9SPg69FcIsDs6Cg2Wy/Oum5WrP11Wrb8OZ62j2MQzFp+z9G/u5g9NIfD3neJeDXDzMxPUJQPtnjV2N2Lza11nBs5ehi5enUh3tcbxv6uKee1Ln3Tx2FoD5z8Iez/K3jzP8Nbfw7nn4Xi1XchvBxFWeFHMwlysoxeEPhYvRvnZUSNQrJAdeosJCdoajZR1jkJWrcym3gXwehXor4PBFETa97uWLgM7oAFm0cLEJ88H0dVlgjjV1UYeFHLswLNpVTXhazCSHkHFZ0Lo1nCHdtNg2CYzx47PHN4/nroy2if5aRJBtOV3YqCIHCry8bHLQW6QvuoqAoHdQ0M+zYhiBLrDDJdoz+FUz+EfHz5FakqhM/Aob+Bkdc1EVPSa2Hsqx9bMgMsXqnyZjzDP4Xi5GQZgyDy8WvodHgtvC3SSYJARpbZHUuRq8p4HSY+vL4RnQSZYpXHj04yGT6MolSQLBb8gV1YrSvQ6x2XdclZO9Zht69BiJRRVZnZ2RdIJo8s+Ds1GDzFj08LhDN6zKYm1rc4+cTmZuymxfu7ptHJQ30NiIJAPFfm8SOTpIvaOWw2t37gHJXvhgsXLrBy5coF01wuFw0NDVy4cGHZ5YrFIqIootMtvI4YjUbGxsYoFArz6+/t7V10rFetWnXZ9deoUaNGjcVUYzGm/s2XCX3tayjZ7Px01y99ms6nnsSyadPPcHQ1avxs+MV+BPk+wdTbS2l6msSLx3EOyjR1redANglAo8tEl9+GAKxIhRiWVU4aWzicy+DxmphJFHkhGCdzWseHunwEi2UOp3MAlBWteMKtk8hWq5zMVEGCikmCUpVSMMfqikSTKhImTRhQFREpmmOkLHCkNIvd1IjeksVtV+lUzXDkf0HLVmjbQf7ocUpDmrvBumUL0uTLWgaN0UbL5ofYOpnn4EicM8EUTpMOSRKJZUu8FUsgxfOogNuhZ6owQG40gozAWY+JdaNxtvWswuryMHDgLe7Kx3htQibha+D5uRuf1TYzVpebVGSWTCyKIIr42zvpufV2JnKTqKqKgLBskDaAMj5O9PAR9nqbKYsxest5zKeM5Ftb0Le0ovP7EAQBQRBwN3uZGs2gm8wit3aQF3V41226+CVelKB757LbqpRLRCfGkCQzbX07sFjmxtV1D9j8WvZNKQPHvw8rPwz1q+eXdTjWAirR6KsUiyHC4acJBB5FFN/bpzClUoRY7DXs9jXY7auvvMC7RBBFurZs49Sen1LKZxk9fpTm1X0YLUsHZr/NjQ5jX5ZqSXPRpINaaVw5v/y8qgrh05qQ07QRWreD4RpKzC5BVlV+MpskVqkiIPCw30XAeBlRo5CkfGwP5I0YDQrO7j5m/LcjTweZOncaX1vHgq6W143RpmVmRQe1csHGDcvOKggCLas8nN87TSFTJjqVxddqXzjTxAEIndRet9wCTZrzMTSUolgUqdR9iEbbHoRqCU4/zi29u5jKTJEoJhhKDtHt7saZ0PKoch4LsUIMn+XyHfwAqBToGHmBequRk1UbQ607EfUWdvRuwzP5OiTGIT4Kh/8ntN4KrbfNi9MAYiaIMPkcZGff3lloWA/td2jH6BKKskJ/vsjZTIFg6WIguSQIPFbvotF08z7jPoOeO912Xo2nGcgVGbiko2Kq3sRAOINSLPDT03lWe1vw2JvYlJK53a1esYOivrkJ6exZbOU2yqKHihInHt9LpZqiznMXJ6dSPHtkgEpVxGzy8KF1XaxudFx2nb0BO5IIz58Ok8xXePyIVjZoN968jp3vJxKJBC6Xa9F0t9tNPL68yNrd3Y0syxw7doytWzXnoqIoHD6sCcDJZBKz2fyu1w+QTqdJp9PzP4dC2gMaWZaRZfkq9u7qkWUZRVFu+HprLE3teL/31I75e8+NPuaZPXuY/f0/QL7k2in5/QT+4A+w3nE76tw2f1GpnePvPTfzmF/LOmvC1fuE4qaVJPdL2LMy5rdGSK3qBZuD27s18YTQKaT+5+kBWq3deFJrGTSYOeqXSBbKHBiOMaFTmCpXcOtEEEScOok6vURBuZj94TfqWdvmQTmbxKMKiCy8ARFSYzTkPewVZsAio1hHaQ74MIomSjo3VLV29KUTb5EflMFSh7G7G7MnA5NzN2orPwwGC7d2mAkmCkwl8vz168M0usyMxXJUZZU6nUqroEOdzTNbvICqVhG8zZQUPfuGYzjMelY11LNu50P073+Du+NxXovAbKHAs3IrFa8D6eRhlLlQWElvYOWOOxFFiYmM1jrWZ/Fh1i1d0qOUSpQOHuKww0NZr0dXrbAtnaCSlLU27vsPIJpN6JtbMLS1otNPo6JgTqWRC+BsqSNhtHD54qOLRMZGUBQZUZTwt3cs/GX9GjB74MyPNPHq3E8gNwsdd807MxyOdaiqQiz2OsXi9Jx49ch7Jl4pSoXZyAtUyglKpTAmUwN6vfumbc/qctPYu4rghbPMjg0zOzaM3mjC5qlb8E9v0Fw071kYe6WouW3SS5Qw6k1azpPFq/1v9WolbhP7tOUmD2tCTMutWjc5nYFCtszoySieRiuBjuXdYaqq8mI0NZ/Ddl+dgy6LaflxxkcRzjxFJm4GBFy9PQhrttOSSRObnqZcLDB1/gxtazdc3/F4Jw3rNeEqFdT2/TLliHaPCXeDlUQox1R/Ak+TFentksfZ81omFGildZ2a67CYqxAeTmqTV7RgaPoknPxnKCRoGNtPi72JyayWddVpb8cQz6ITJUp1dsK58JWFK1WFC89BMYVFr2fD5s9iFN20mo14DTrwfAZmz8HQy1pu1dhemDkL3bvA7EYYehnL+AmwWjT3madTyxKzXdyuoqpMFMucyRQYzBepXuJCskgSq60m1tkt1Blu/p/vzQ4L44USI4WFLk6nRU93wM6ZqQkqVZEzMRubHAEOprLkZJkHl2kE8DaGJi1XUESPT72NpOUc+fwoyeQZXrmQYSTholItYzcpfHbHRprqLi9avc0Kv52H14s8e3KadEETrx7bUOtodz3s2rWLrq4uvvjFL/IP//AP+P1+/uRP/oSRES2P7Ua42f7sz/6M3//93180PRaLYTTe2NxGRVFIpTSHq1gLMr7p1I73e0/tmL/33KhjrmSyFP7rdym/uLB8W3/fvVh+67fIOxzkI5HrGusHgdo5/t5zM495LBa76nlrwtX7AFVVeXX8DGObWll/KEgirtJw7E10j36UJpdZKzMaeml+/vhYGHtMZWvTGj5+bw/ffXOYkVKZEzNpfJZZ9MVpepyNFA2r0QkCbWYjnWYjnRbjfLlh2m6lXJTR6UV0BhGdXkIXO03y/DGOVDwETA2UbCJ9TQ4mymXMztsYd7azo3ia6rm3yBwYAFlG19SOvW8HwtBci/fmW7SbNbQsmwf7Avz310fIl2WGZrNYDBIOk8TmlS4sEwUq0SkqhRK2Biut2zcznhUIpYrsOTdDndWA32Gh7+77GT1xlHtGhngVCI+W+YdxCXOhTL2/mYDBiNXlopwvYLRamcxonZCWKxOcLVU4fOAIJ5x+KmYL5tWr2eGx05CKUZ6YoDIxiZLPoxSKlAYHKQycJ5s+hl4tIalubNk0Dq+PyWJ5QWD85d7f8PAQAHWtbeiNSwgOjgbY/Ktw5klNFBnfr934r3pEy8sCnM4NgEIs9ibFYpCZmWeor38EUbz5GU6J5EEq5cTc/ihEo68QCHzsppbotKxeSzGbJT49iaooVEpFEqEgiVBwfh6TzYHdUzeXhXWTw9grBU0kyYS1nxvWgb3hokiltywuAavr0sScyYMwdUgrGRt9A4JHoW0HE5MNZONFcskSTq8Zs31pIXJfMsvZuTLZrU4bGx3LuLZUFaaOwPArFApQrHrQN6zCvbYPBAGLw0lDdy+hwQtMD5zH19ZxY8spPV2aq6iU1US6FfdddvbmlW6SM3kqxSozI2kau12a6HX+WW0Ge4BSx4dIB3OkowVSkQJKVUFn0mndCfV10PMA9L8AyQlukdqZVFUSxQTDw0dxV2WsehtFr41wPsxa1l5+/FOHNeENoOtezO5mFpj1BUETmj1dMPam9j4WknDqX7TfKXNPlax+6L5v/loIUFIUDqdynMkUyFzy9EkSBDrNRvrsZjrMxmVD9m8GgiDw0Xo3sUqVqqoiq5qzT1ahVElzpDDMwQkzeiFAYqZEXUDHmWwBAYEHvMuXC4pWK5LHjRxPIIdmqb/tIwRnXucnx0eZyWSADM3OMg/2NdJUt3Ro+HJ0eK08uqGJp08G57K4gtzZauQqvHQfaNxu9/yXzktJJBILcq/eicFg4Ic//CGf+cxnWLtW+3ysXbuW3/7t3+a//Jf/Ql1d3fz639ll8GrWD/CVr3yFL3zhC/M/h0Ihtm7dSl1dHT7fjX3n3n6y6/V6kaSaG+9mUzve7z21Y/7ecyOOeW7/fma+8Q2q4Zn5aaLTSf1/+D3sDz54Q8b5QaF2jr/33MxjXipdfcRNTbj6OUdVVZ44OsVLEycx6aHlljuw7x7BkE2zaeoM6qZWhAvPaze8OiO0bCU+NADVAu7sXnx5kZ3dfv7H2Ax18iQ+Jcl2cxivMkOru5tORwt6cfHNhcP7DsElMUZ28GV+HHJTMrhp9/chOg9j0Im06r2UzS1MV1RyDdspvTqAqgsiSnkcKy0Igz/V1mH1QufdC1ZrN+np8Fk5PBbHoBO5tbOOj25qwm83kZzJ8eo/HKaqk2jyNnPb6jbWlar8n0MTZIpVnj45zWe3tWIx6OjavBWb24N4/CivqRCTdFREHWL3WoYjs7gqJVKj46ztCJApa0HrLfaLnc0yVZnz2QLnckVmYgkKkQQVSYeloYEOj5OtfheGgBdTby+qqiLHYpQnJilPTJAe3kelWMAWT5HGQmOHRLZQIGi5uoDm1EyYYlYrkwh0dS8/o9EOG34ZBn6qlZdFB+HkP8HaT4LBCoDTuQlVVYjH91IoTM2JVw/fVPGqWAyRSmkB/EZTgFIxTKEwRTZ7/qaWDIqSRO9tt6PIMrlkgmw8RjYeIxOPUsxq73Exm54/tjc1jL2ch5P/52L5V8+u+dK1K6I3Qedd2vzj+7QsrHKOzInXSE22gLsN1ehg4mSQ3i1zN4CqCmhOnHSlyvFwFDMq3WY9d+pUSKU0kUSVQVHm/pchPqxlKwHJcgMV7yrMLi92z0WxtGXNOmJTE5QLeUaOHmLN3TtvnNAnilrW1cQBmDmjXQ/E5f8Amm0GfC12ZsfThIaT+Hwy4ql/oZzKU6iama7eRv7V8Pz8Uv8xDKERGh69H52+TZvYuAHyUZg8TCA2RovVwqRBz+lzr3KrbMTmqKNqMxHOhZcexNukgjD8qvba13v591dv0jK3Amu1z2s6pL1nBitF362YV90JuovnoaqqPDObnM8cBKg36OmzmVlpM2NZJlz/vUAUhCVztGYjx9jhSdKqkzke8aEUVYLTWYx1Jk6j6XS76pYXr/RNTcjxBOWpKQq5CruH2snIIggTrKkvsLm5SMC37V2NubXOwmMbm/jJiWny5SovnM/S3hTA8gv8BXflypWLsqZSqRShUGhR9tU72bx5M/39/QwNDaGqKt3d3fybf/Nv2Lx5M/q56+nKlSvZs2ePVoZ/yXt+4cKFecFrORwOBw7HYledJEk35aZEFMWbtu4ai6kd7/ee2jF/73m3x1wpFJj9z39G4vvfXzDdetedNPzhH6L3+2/kMD8w1M7x956bdcyvZX0fKOHqwoULfPnLX2bfvn3Y7XY+//nP80d/9EcYrtBxQVVVvv3tb/NXf/VXRCIRNmzYwJ//+Z9z6623vkcjXx5BELDZMpTVPJlsmSFnF209VlaG+jFMjlF8+XHMujFt5u77KVh7ybusELlAnT2KevYp4p7bEaQSZiXOxso02wImUBX02deQHL8EXKGcLB+ndPIpfjztICPY0AVW8albOriQzjEQH+DBltt5LiWiqArnXnmN9qICjRtwbO9Byp/RyqBECVY/CtLiU65Qluny2XBb9PzS1lacZu2LcLUUwWiuUi2BogTIJUtYXUY+vK6Bx49MkSlWef50mI9tbEIUBeo7V2B1ubHuf4tQpUhl1TqmTXbKhQLxtMyr0SSvilVSJT9N+jImg5ez2QJnswUmCmVUVFBUSmNjWOUqbXKZOzeuJmC3LnpPdF4vosdOpilIaaWf7DPDmBJ27FUB//QUoeYuonY7eVm5eNMZGwbJAK6WBesLD2sdtWzuuvnQ8WWRdFqppaVOK5VKh+DYP8K6T4FFEzVcri2oqCTi+ygUJolE9+D3PXhTXEaKUiUS3QOqil7vpCHwMWZnnyefHyMefxOLpQNJusoOa+8SUZKw13mx110sO6uUS/NCVjYeo5TP075u480JYy9lNdHq7c52PQ9eNr9pWYw2TfBq3oI6+iZTB2ehWkSKXUBWBFJTkIxHcdkXPpmIF0psLJXRCQJbHFaE0at4n+tWkBC2QD6Dy29BuES81un1dGzYTP/+N0lHZ4mMj+Jv77zMyq6RhvWacFXOQ2xIE4EuQ2OPi2gwSz4WJPjEHvRyDkXQE/F+iGpRu3aJkoDVqcdYnMLYYEA8uZecsYJl6y3aed95rxaWHhvm1nScaZsJJTzLQCJPU982EIpkyhlylRxWvXXxIMp5OPdjUBUwu6D3Q0sGqC/CHoBNv6qVC1byqPVrqcZTWpngJZzIFOZFq/V2CxsdlpsSun6jKJdjZLP9AGzo2EhDQzMvnA7TVFYYDOeYtZYoVRQE4P5lxCtDczPF02eIjk/z0r4RSoKExdzIzpVe/MZD2Kx9GAyXd+pcjma3hY9tauKpY1OsbXBg1P1ilxM89NBDfOtb3yKZTM5nUT3++OOIosiuXbuuuLwgCHR3aw9WIpEIP/zhD/nTP/3TBev/wz/8Q15++WV27tTyHAcGBjh+/Di/+7u/e+N3qEaNGjXe5xROnmT6d/8d5bGx+WmixYL/3/0urk9+stZYpEaNd/CBEa4SiQT33nsv3d3dPPnkkwSDQb7yla+Qz+f5r//1v1522W9/+9v8x//4H/mTP/kT1q1bx3/7b/+NXbt2ceLECTo7b+AN27tEbw5jkETSJQvBiISnew3tARFGB8i+9BN02zrQ924CewOJwVEwOtC3b8bu38fxTJ7TsUG8goxHyUDJTUbYjp2XqJQTxONvzXelW5JKAfnU4zwXNBGpmBEaV/PguhaaXGYanfdyZ9Od6CU9x0oxRgeGGY4laQdsd92Ffm0flHdoJUGORi1k/B2kixUimRI+u5HHNjbNi1aqqhLsP4fDZ0aU3BhMDkZORFhzRyMNTjP3rvTz0rkZJuN53hyKclePVk5g89Sx+aGHURQZSadHVlVOynlei4eZykE6VyatGBEI8D+D0QVjMQgibbNTtE2PESgXUO68E98yOUHlcpyZ8DOk4uNkYhGq3SsQVBvNhTJyLEJ2ZBhXnY9g0U231QQz57RsKlGCrb+p3fwCpXye+LRW2lbf1X11f6QEAdpu0xxYF56DQgKO/6PmvHJoZTVu1y2oSoVk8jC57ABJfR1u99Yrr/saSSYPUinHQRDweu9HFPXU1d1DofiPyHKRePxNfL4r3xTdaPQGI+5AI+7A1ZcZFXMVBAGMlmsQDEoZOPF/tBB2QdBExcAVys2uhMVD2r+LjHMIlHE6vEOEojZyBQOTYRdO28y8ZiKrKjNlrXtawKBfvoxMEDW3k2SAxo2U628lu0cr63HVLy4r9DS14G5oIhEKMnbyGO6GxqVLWN/l/uFq0Tothk5dUbgymHRYrUmUw39LniQWdxOphg9j9DXi85lx1JmxeYwokVmSxy7+ScsfOoScTGK/714EnU4Tzo/9A75clJ3ZHOdm4xSq0K+LoahmREEknAvT5epaOID5XKu09vld81HNUXW1CAIE5jLVlgigjFeqvB7XXIHdFtOyQs/PE4nEAVBVdDobdvtanE4dLoueVy/MQrLAYK7KyUKSaLaEorJk2aCusZFQqsB4LI/UGMbc3MpH1jXQ7LYAa27IOBucZn7ttjbSycuHg/8i8MUvfpHvfve7PPbYY3z9618nGAzy1a9+lS9+8Ys0Nl68Tt53332Mj48zNDQ0P+2b3/wmK1asoL6+nv7+fr71rW+xefNmfu3Xfm1+nttuu40HHniA3/iN3+A//+f/jMlk4t//+3/PunXr+NjHPvZe7mqNGjVq/FyjlstE/vqvif33v9Fc8XOYt2ym8U/+BEPzTWoeVKPG+5wPjHD1ve99j3Q6zVNPPTWfp1CtVvnSl77E17/+9QVfzC6lWCzyx3/8x/y//+//y7/9t/8WgDvuuIOenh6+853v8Fd/9Vfv2T4sh0VvosXtYDpkJSlUafJY8O/YRfLP9yDLMukT07i3fRbh8N8ijSbwqV4MPbcyvfITvHDmZQr5cXrUGM2FPIPSHewfN/Dwyk2UckdJp09jNrdhtXYt3rAio555ipfGqoznLRBYyV1rWumu17p7CYKAfq5bVtPsDIPhMJMGM8a+NZjXzt2oGSyayLIMoxGtw6FBJ9LivujMSYanySUTiKLA2ntvITggU8iUCQ4kaVnloa/JyWymyMnJFMfGE/jtRlY1aKUGgigizQXHSYLA+tZmyscPUiyleCORZsbtxWHSyohEBNrNBlbbzHRUimRfOIRalTGsWk0hsHS0eip5nvHBfyEdDyNXKoiVLsRqC/UP9lGHyOwP/g5HLkPi9EnGrUa6m1ww+OL8MWX6uNYtEJgZGQJUJL0Bb0vblU+GSwn0aSWCZ5/UHCEnfgCrPwreFQC43bdRqSbJZQdJJPajN7ixWS9TiniNlEozJOdKBB2OdZjNWuCyXu/A7dpGPL6XTOY8NttqzOaf7z/CuVSJc29NoyoqVpeRuiYbnkYrBtNlLpHFtOa0ysc1YWjVwwu6Pb5bNNE2AQYrlp6NuLdsRx/Lcf5QkgIwG7BT32oFQeB8tsDheAYBgbXNPtDrQZA0gWX+f3GROyg5rgkloiTg8C0WYQRBoGPDFlKzM1TLJcZPn2TFlndXtrUkgXWacBUf1sQ/o33ZWdXEOLah/4HOlAFVJGr007Kllfr2pgXzlaa1QHzRYkHf1ERpcJDSwABKNoPjoYcQLRZY+wk4+ve058uUE0lG1RKzopeZjJ56e/PSwtXkQc0ZBloml/1qWy5cGUVVeT6SoqKqWCSJ+y+TC/XzQqk0Sy6nHQ+XayuiqH1G/HYTn9rSwtnpNKbBCKerZSYTeb6fLZFoLfFLbb75fZMVlZdH06TLBozkCeTj3H3L7TivRTS+Soz6WhkBaBlUL7/8Ml/+8pd57LHHsNvtfOELX+Cb3/zmgvlkWaY619TkbRKJBL/zO7/D7OwsDQ0NfO5zn+Mb3/jGooDWH/7wh3zlK1/hN3/zN6lWq+zatYvvfve76G5kd9IaNWrUeB9THBhg+t/9O0rnzs9PE/R6fP/23+L51c8j1ErfatRYlg/Mt4kXXniBnTt3LggB/dSnPsUXv/hFdu/eveDJ4KXs27ePdDrNpz71qflpBoOBj33sYzz55JM3e9hXxfbG7SQiLVwQBhFFgUyxijB7AscaN8m9URRrK+kf/k/Mq9xUywoGZrGk3+Dvjw6R0wvYzWYeKIZxm9oZmzpDodLNE6frWGEz4TWnUIWXaGupR6e7pBW7qsLgbvYPRzmfsUFdJ5t7O9jYurhTXGVmFv/BfeD0U3Q5Kdx6G1fXAwpGolkAWj0WdJfkuExdOAuAzeOlsaeVajXOzEiK0HAKd8CCzW3irh4/0UyZYLJwSVj74ptwSafHGWggMXoOV2Qab73AJztbyatmvHodVp2EqqqkfvIialVGtJixbL+NQiazYD25VILRC08Rj+1HVRRQ9Ujl9bjqVtHQ3YunsRlBEGgO7cR36hwj+RyDBw9xh3sGo+liK3lCJ6H9DhRBYGZUuwH0t3civZsv954O2PArcPpftJK1Mz/SwqgbNyAIAj7v/VQrKUqlWSKR3eh1TozG66+XV1WZSGQPqAo6vQOPe/uC3zudG8lm+ymXo0SjL9PU9MvzN7g/j0wPJlEVLTMqlyyRS5aYOBfH4TVR12jD3WBBd+kNcCGpiVaFpCYMrX4U/JfPiblaUrMFsgntfGnudSNYLNgtHjyzRuLTWYKTAnUrPEh6kcPJGAWTjl6rGYfdddXbSITzAFjdhoud+t6ByWajeXUfE6dPMDs6hL+9A4f3BmUt+FZqDSWqZS2vrW374nnkKoy9Se7UC1CIY7QayHvWUdY1M3x4P6gK9R0XRaZKUBOu9E2N2B/YheRykj98hMp0iOQTT+B4+GF0bjf0fZzKC3+DVzJRVVTGK0HMoQy5yCCZsgyBrTAnyJOchJHXtdf+VdC46Z2jvC4OJHOESmVAcyVZ3wdfWBOJ/QDo9c5FGXaCINDX5KTLZ+ONwQhPheJEKjJPDM8yEcvzr9c0IYkiz5yaJpgo4PX4Ccg5eq3lmyJa1VjIqlWr2LNnz2Xnee211xZN+853vsN3vvOdK67f6XTyt3/7t/zt3/7tux1ijRo1anwgUWWZ+N/9HZG/+EvUSmV+unH1Kpq+/W2M3TfuwXKNGh9UPjChDxcuXFgUMOpyuWhoaFgUSPrO5YBFy65atYqJiQkKhcKNH+w1EsuWGJjJ0+K00egyUUiEiZ3Zg85hxnbXXVAtUZmeJnliipTjVsr2dp42OZmV00jFBB8unqTNvhWXJHNPXRJdtB9l9ADDFwQGh0c5fOoEu/f8Kf2HXqQysk8TVkZe49T5fg4mbOBopLe7hzu6F7euV3I50s8/T12piEUvYexawVipusReLKZUlZmMa8e3w3sxVyYdnSUT1dq9Nq9ao4lBK92YbHpQVYaPRaiWZSRR4MPrGrCbdFQVlWdOhSiUF5fiANQ1tZAup1CTeZyiHZ/JRZvZiHWui2JpYIDK5BQA1tvvQDRpApiqqsSng5x9/accfe2PiUX2oioKouqkIfApNt73K/TdvZO6ppZ5N0HzrdtpaKxHEQSmilliL++lMB6D9h2a86VSgMh54sEpKkVt/+s7V1zVMVsSez1s/JwWfq8qWge10TdBVRFFPfX1H0HSWVGVKjMzz1CtZt/9tuZIJA9RLmullj7vTkRxYU6aIEhaCaogUKkkSaWOXPc2bxbFbGVeyKnvcFLXZEOURFBV0pECoycjnHhpgsEjM8SncyjZuOZuKyQ1R1Pfx26YaKWqKlP9WndGm8eE03/Rhdiyyo0oCVTLMtODSSaKZaJzZYKblusiuARyRSEd1c47u/fyreYbe1ZinssFGzl6GEVZ+vN1zegM4J8TPUKn5sLmLyE7C8f+DmVsH+nZMBXJSnnVJ+h87MtYHC5AZfjIAUKDWs6SqqpUQiEA9I2NCIKA9dZbse+8DyQROZUm+fgTlKemwNVCpf5u8K2kpW0Nm22NGEQ96XyUiaHnqb7151rXwsiAVt6rKlp5Y+9DV5drdZWESxX2J7XP4jq7hRXLlCX/PFEsTpPPjwHgct+KICwttJkNEg+sCfCNze10mbRz7FAyy+/tH+b7B8YIJrTzr3NdNz31dojHUYrFJddVo0aNGjVqvJ8pT04y/vlfZfY/feeiaCVJeL/0/9Dxz/9cE61q1LhKfn4tENdIIpGYDxy9FLfbTTy+fL5FIpHAaDRiMi28aXC73aiqSiKRwGxeHC6dTqdJp9PzP4fmbppkWZ5vGXmjeHNgltJMmIDTRpPPTt3gC0woaVxdTei3fxjjyLcpxlVS4zJZn5uTG1roZwy1lOGuygVWqT5Ih1HkCj3yeWxukZS4gqGchdlMM3brAInKOK/O6NhdaaDTWsJrqLIvbkM1uWnqWMl9vV6US+qwAdRqlfRzz1HNpBEkHT19q+mXdAznimyxXzmQezSSpSrLCAh4dcNM9Z9DUk0EL4xRTucwGVzoZsNkw7Oo1Sr+SoWhySpVt5vBoxLdt/gx6QQeXFPPE0enSOVLPHMyyEc3NCK+o1Oiwx8gVUqjKgqegnnBe6QUCmRefwNFVTC0tKDr6kSWZcrFAqf2/JRcehLZdAbEIpJOT51vMx0rP43BpIlt73y/jTY7XYF69qeK5GYnCJts6IZyVFeIWJxtCIkRmDrCdLoJRVFx+usxWm3Xd94Y7LDuMwhnfwSpKRh9A7WQgu5dCKIFn/chQuEnKVfShMJPE6j/2LvuNFgqR0jED6Gi4LCvxWBo1MaejyMMvogaWA/1q9Hr/disa0hnThFPHMJk7sKgXz5sWZZlFEW54Z+fKzE9lEBRFPRGicYeJ6Ik0LLGTXImT3w6RypSoFpViU1niY1H0EVP4XcoBHwS0prHwN25ZHbRuyERzpFNajfwDSscCz5zOqOIv93O9FCK0EiSCVMVFRW/QUdAJ171cYuHc8iygqqqWDy6Ky7Xvn4zZ19/mWwyQfDCeRp7V737HbwU/xqE4DHIx1Dj41rularA5CGEsTdBlcnEoiR0TaRsq1i38W4kg5FVd97D+bdeJxuPMXzsMOVSiXqvH3lOBBb99fP7pO/pwW61knnhp8jFAsmnfoz1nrsph8IoljrEjRvZtGUDyXM/YPfgU4xXCryS7Oe+ahkhdFIbp6hDXfkwCLrrfp/fPseLlSrPziaRFQWnXuIOp+U9P++vFVVVicb2atdJvQezqeuKY25wGPnDW9r564Ewe2dTjMsVKlWZLiTuW1nPKk8TibP7URSZ0uQkhpuQKXkzrys/7+9ZjRo1atT42aGqKsl/eZyZb38bNZ+fn25ob6fxT7+Ned26n+HoatR4//GBEa7ea/7sz/6M3//93180PRaLYTRe3sVwLSiKgvXYXpjM0BMwscZtYioXJgMcUNbRd+pZhEYbmaE4KdXPRPB1Dnf3IJp09FrMrPb+K9KJUfQzJ6GYZbiQJF9KIjbUcWfXegqFPCOpIvFSCJlJZpN1nI7oUTJlFIrYXAqbhg4Q7q9AtQqVCmq1CpUqaqUMFc1dZbjrTjwGHblMjsF8nqBQwSBe3p1wcjhJLpenTRhn+rUfoZZKVBWZZF4r0TMIFgZPvYWo6BCrRsSqEUPJSfLCGgrKBioU8HdY0QEb6/W8MZykP5fnObnAre0Lu8flq3lSuiLkK6jTWSKRyPzvym+9hRyLgU6H3NdHKRqlUi5x/s3XgClEyzB6nQGLy09d/U4sltWkMnnI5FkOh8uFefIYOZOeMY8fd8FI7s230LkNWJmmYosxk0ugGqz43HULxnNdNNyHqbAbXWIYhvdTjU5T6rgPVW9FEjeTTr9KPjdKIf8Udvvd15yno6oyicTTVKtZJMlG1dwzP3bT0PPoEsOooX4Kq38JxVyHoqygWDyFImcYG3sal/NDy25TURRSqRTAouyUm0W1pDDeH0NVVPz1NmLxSwL7DeBqF7E1mslESqRmipTHTlOt5BnPWRmTN+KyStSVZpD01z9eVVEZOZqglKticRkoqVkikYXuOJ1DpVwpkC3JDJ3IUuyx0C6ZiEajy6x1McHBNPlcEbNTRy5fIRoVr3C8BYyeOhJTE/QfOYBqsmCwXL3Da1lUPWbFhFSIUxl4k3LDLZjG9iBltIcAVcnE2WwDOdGJx+MnWyqRnTvXfKv6yB09RC4epf/wfhLocORyiAYjiiIjXPp5MhhQ7r6L8p49qOkMuWeenf9V1WAkn8rR1/AIP40PMJkL8joyhlKaLbIm7Bbb76FaEKFw/Z/Rt8/xvbkSk8UqAgI7XWbSsdh1r/tmUy5PkUxqHVD1ztuIRq9+zJ+q02EVLLwVzTFbqbKzwYxfXyKWKVEyGlFiccrnzqO3L5919m65mdeV2PvgfatRo0aNGu89ldlZQt/4Brk33lww3f25z+H/yr9FXMIUUaNGjcvzgRGu3G73/JfTS0kkEgtyr5ZarlQqUSwWF7iuEokEgiDgdi/OdAL4yle+whe+8IX5n0OhEFu3bqWurg6fz3cde7IYe187jcl9GGfG8ZsKyB4bZ9ROKqkcm6RZkkmFzOZHyY6e4/AaJ1I+TaPTz2dX7cKkt0PTCtTV93Lg7A8oj05jEypUs6OYen4Xt95KvbyT4MQ/kJ2ZIMIIQ9FVzKo+bKLCw5UQtqiyeFACYDCAwYB50yas27bhlBUOTEVQVSjYHTRdpvRFUVRi5zPUZ6dZUX0SnUlFwkUyl0VUK+iMKnabAyQRQdQ6ogmigik3hc2RRi50ko/Y0LdZcdVb8PmgIpk5FUwxklbplk2sDFy8CboQv4CxwYNaiOGQ9XjcbiSdjkowSGp6GqwWrLfehrmzE0WWOfvmywjSBfT2CJ7GVpx1zfh8H8Jkariq96wuc4FmOcWQsY7pjXdzb6FCaWgQSlANZpjOhhGMCUxtq2mx2NA7nYgGwxXXe1X4PwfDLyMEj0I1AsM/Qm3eAs1bSdhUkqlDQBiDYRyX65ZrWnUyeQiDsYjBaCFQ/8h8IDulDEJlBqyaoGGNHEDd+DkQJWy2DzEbeR5IY7ZEsduWDjB/273g9XqR3qOsn6kLCcxmC5JOpHt9M7plBKiGJiA9TVkcZyZuY1baimKuIx+BcrKEv91BfYdj2eWvhlgwi0Qei9XIyi0B7J6lPz/SZguvHgxiylWwy0Zua25Ad5UCpKKoTBYLWKwSTV1OJHv5qo63a8ddnNz9HJVSiczUGL3b77wxIeLl7QjDr0BpGsafAaUMVgtqfR+TRT9qZhibJLH61h0Y3yGW+R78CIMH95IITVM+e55yuYr/1ttw1tcv3o7Ph9LUROanP6UyF+IO4Fm9SgttB+4r3MdL4y+RA864WnF5+ljr7MTsaFq8vneJLMtMlWWGqwJWi5FbnBbWu2+8WHOjUVWVUPgVLFYLRoOfhoYt1/z+/5pPxeJKECxWKJoN+Hza39Zc70oKJ0+gy2Zw3eC/nXBzryulUumGrq9GjRo1arz/ST//POHf/wPkS+5LdQ0NNH7rm1hvW75hVY0aNS7PB0a4Wrly5aIsq1QqRSgUWpRf9c7lAPr7+1m/fv389AsXLtDa2rpkmSCAw+HA4VgcQS5J0g39cqyqKlPOPJPeMDZ1ADWeRxdooSTZCMSf54xSIlcXYMQSJtjWgZLJY6zIPDyYw7LGMt+d4kjkOKcoYG5cQ9/IAfTVIoNDL7DavIVSfz+GYBLBPoEPaKsHfWkVlnofBqPWqUxY9M+AoNcjOR3o57rv2SSJBpORUKnMeKlKr3354xBK57GeO4Gv8CymgIxQdeM2fpxqOo3oztO+dSPe9gYqlRTVaopKNU21kiJ+8kVsxMgk3kDglxg7FWPN7SZMNj33rAoQz1cJJgu8ciFCwGmmzqa536bz00heO5ZgGVGFbCyC2x8g//obiIKIzluHdfMmEAQGDr1OKvMKgimMO9CGr2Etfv9DC8PrL0c6hBQ8SK9FYUhnY6wkYtm1E2NrK+XhIYrZEInEBdRKClcqQ+7F3SAK6AMB9M0tGNrb0C91833VSFpAu9ULI6+BXNE6o4VOUNeyDdnSSa4wRip1EJPJi9V6dflapXKUdPoIoiBid/Rhs3Vc/OXs2blNG0CpQm4Wgoeg/Xbs9h7y+X7y+VFSyX3YbSuQpKU/V6Io3vDP0HLIFYXoZBZREKhvd2A0XaF0cuYUZqNKe6eOxvUbCY2kiYynUaoq4aEUkfEMgU4ngQ7nNTuwVEUlPJxGFAScfgsun3XZeV0tNiInBISyQPN0BcM6CeEK7sa3ycbzqLKKKAjUNdpI55JXdbwli4X29ZsYPnKA1EyIVDhEXXPLNe3jkjSsg7E3tW6bqqJ1yex9iJK1hfALTyOKAo09K7Es4cSRJIlVt9/F4MF9ZPcfJF8qEckkcQkgiov3R7LZcD/2GJlXXqHUP4Cu3r/A4dPsaKbL3cV4ahxBENiXPIfZ0UDvDTwXi4rC67kyosmM32TgDo8TSRRQVZVsPEYmFsHb2o7B9PP1JDaXG6ZSjiAKInV1O95VlzgJ2OyyMT2bZLJUIauoOPU6jK0tlE6dQoknEMrlm/IU+mZdV94rgb1GjRo1avz8IydThL/5TdLPP79guvOxx6j/919Hugmu4ho1fpH4wAhXDz30EN/61rdIJpPzWVePP/44oiiya9euZZfbvn07DoeDxx9/fF64qlQqPPnkk3zoQx96L4Z+RQrFMfR1YbLVPDq5jDlbxGia4rTYyLTBT9bahcVhRtKL6PV2PnIujLOQIv3ibhwf/hAj6VEOhQ8B0OBfi2d6hsLoMaoD/4u4K4RO1GHAjkXfRKkxj1xnI9BzN1b7tQeGt5sNhEplRgslVFVd8qm8Uiox/cSP8cb2oq/PoDcEqLN9mHLUiE7W4Up5cAn16CQner1rwbJiN4QP/hM253nymWFkxwoGj8yw+vZGJJ3Ih9c18PibY+QLFfacn+GTm1sQBJjMTCKY9Pj8zVCFeHAK40QQOZkEQcB2zz0givQf2k0k8SyqlMfq8tLQehd+/73LhhAvQq7A+WdAVVgXcPBczk1ZrjIwOUVf3xrMfWvId7Wi/9F/Q8oVqXfPuawUlcp0iMp0iPyhQ5jXrcV653W4WgQBmrdondAmDkDwGFRLCKNv4NMbqbhKlM0mZiMv0qhzXLHToKoqRCMvoaoKOp0Nj/v2i79UFAid0F43rNNEiNBJGNsLdSsQ7AHq6u6mUJxElovE42/i8y3/mXyviExmkCsKgigQ6HBefuZKAWbPaa8bN2Iw62lbU0dDl5PQUIrIRBq5ohDsTzAzmibQ6aC+/eoFrGgwSzGrBXY29Szt8nybs7kipXYr+tNJvBVtP/xtV9fH8+0QeovDgNGih9xVLQZonS8jYyOko7OMnjiCsz6ATn+dneAMVqhfowW0e7uh50Ew2pg6ehBFkZH0BppWLu3QA02g6updw7DZSq5UIl7K07//LXpvvR1xCVFB0Omw338/5r4+pHdkIgYsASRBos3Rhs1gI1fJ8crkK1h0FlocN0CkA16JZ8gqCnYBPuxzIhfzhMdHiYyPUshomYmxqUn67rn/xjjabgBa1uMBAEymRszmtne9rhVmEyZRpKgonMkW2OG2o29s1K5XqkolGMS44joaVdSoUaNGjRo/Ayr79zP2Z3+OfElUgeTx0PAHv499586f4chq1Pjg8IHpKvjFL34Ru93OY489xu7du/nf//t/89WvfpUvfvGLNDY2zs933333seKSL8Ymk4mvfe1rfOc73+Ev//IveeWVV/jMZz5DLBbjd37nd34Wu7IAQRBor6tHV9UxaV7FbtO9/EP1Lg7kexlSVxNW1lIy91LvXcfWhi38XxseYt0mrbV8eWyM6Zee5eVxrf21z+Bh67kq9hEJUzKPpZokmptE39iA7Z57aPv0f8S+Zjs6t4do4lVkefkMp+XoMGsOp3RVJlZZHFxbTSRIPv4E6cnTiN4QFlcAm2srRqGbuDyDIinY3XWURzPkDoeRs+UFy9e17cLoakQUVazSi6goFDJlRk9EqMQKCOfj3J1T6QoWyE9mODmVJFKIUKxqgdcdHWsASAz0kz+qdbozr+1DV1/P4LFnmYn8CFXIY/N4CbQ+gtd7DaIVaA6nfAwEgcCGj+C2aS6ts+MTgHYTODMdQvI1Eeipx7+1jrrf+HXsD+zCtGY1ol2bv3DqNNlXX0N9Z7e1a8VghRX3wbb/Gxo3giAiVkoEZstIwVOo6Slmwk9TLE7PdQwbJ5cbIpO9QDp9imTqKInEQWZnX6BUmgXA670PSbokxy0+AkXtplvxrELtuhdMDs1Bc+FZUGT0egdu960AZDLnKRQmr2+/rhNFUQmPaBbuuiYbBvMVNPzwGZCrIOogsHZ+ssGko62vjnX3tOBvdyCIWte/qQsJTr06RXQqe8X3UFFUpgeSALgDVmzu5TPyVFXleDqP6tQTaLJjEAWm+hNUl/isLbVsckb7TLsCyzu6lkMQBDo33YIgiJQLeabOnrrmdSxJz0Nw6xeh7+NgtJFPp5gdHQGgaeVq9IbLZwZWw2HcjU3Y/QFUu53E9BQjxw5fdj/0jY3zJYJv4zV7kQQJSZTY4NuA0+hEVVV2j+8mVVpchn6tXMgVOJ8toioKa4ppZve/wdHnfszEmZPzohVAJhYhGZ6+zJreW3K5gfkOom739usS1HSiwCqb5qg6my2gqiqi0YjOr5UIVoLB6x9wjRo1atSo8R4hZzKEv/ENsl/7+gLRyrbzPjqfebomWtWocQP5wDiu3G43L7/8Ml/+8pd57LHHsNvtfOELX+Cb3/zmgvlkWaZarS6Y9ru/+7uoqsp3vvMdIpEIGzZs4MUXX6TzJnQ4umZUlQNTeU7bH2AciWzRir4wQx0y9UYjqqsHT0Hil7xNNDq1GwJ14wbkVJL0qeOc3/s0lr4G1BVt3HGyihwdR9A3YrJ5iZtLTHUJ9D7wMAZJc/74fQ8SnP4/yNU8s5Hd1Ps/vGT3uVwux/TQGXIzI3R1dWFv7AaTiwajfv6J+lihhNdw8RQrjY6S2f0SuXyGsm+Ual0DNkc7LmEHaTVB0Vag4jTQsaIVeaaInC6TOxjG2OXE0KqJAqKoJ7D604zv+3MEwrisJ8nN9lE8PsvsSBKb24TbYsBrM6BGSpw8NUNmnXbTadFZaG9Zw8mBUZRT55i1NuJtdGK+9VYGT/4LodBuAGzOenrX/98kUwZeOBNGReChvgA66Qo6b3wUpjQxjJatCO42eurLHBwZZSyVppBJUymVyKcS4GgkYJ+GQhKxGMbU04OppwdVUcjs2UOpf4Di2bOgyNjuvVfL+boeTA7ofRBatsLYW+hmz1FfbSIUHaCammI6OwXmyzt9AOz2VVgs7fM/q9UqlWMvUx4IUs6IyGeextjdjf2WhxBO/RCyERh7CzrvwunYSDbbT7kUIRLdg8+7E5Op+WfiLIkFs5QL2nWgoesKbitVhenj2mtfLxgWB5MbzDra13ppXOFieihJZCJDpVRl5PgskQkTbX1eLI6lM8yikxlK+Tm3Ve/l34OxQpn4XEOEbRvqieyfoVqSCQ2maFm9fJafqqpEQjlGQxnqrAbcgXcXrm5xumjsXUXwwllCQwP42juxuq583lwWUVxw7k2ePYWqKhhMZhpW9F5x8UoohICAb8NG9F3tTPefY3ZsGLvXR31H11UPQxIl/BY/oVyIZCnJhzs+zBODT1CSS/x09Kd8rPtj6KV35zDLlCs8MxokHo+jjwSxVnOk5so7Jb0Bb0srvrYOxk4eJxuPMnHmFK5A48/cdaWqyrzbymxpu5hpdx2stZk5ns6RqspMFMu0mY3om5qozsxSnpq67vXXqFGjRo0a7wXZt/YS+sY3qIbD89NEu536r38d52OP/sz/hteo8UHjAyNcAaxatYo9e/Zcdp7XXntt0TRBEPja177G1772tZs0sutAEJAb1zHRfwaVBhoqE9SngrQXImy1NvCaM0/E6GTvYJRPbNZEAEEQMN6xnbODL1OVK/iPjtE9bkIyaTfo1tt2YDW3ET7zfRyFEGcip9kU2AyAweChznMH0eirFPLjTIcep97/EfR6B4qiEI/HCQaDxGNRTaSRy5wMDbEhsAebzYbobGKj7OSM5GHMKLHFaUVVVQpHjpA7eAhVVZixj5H3NeKQzTRI9yCrVaZTWkZSYOUabGvrqUYLFM7HUIoyxcEk1dkCpjV1SFY9jtYtWE/2kE2PUgm/jrPaSrmsJx0tYPSYcKyqo8MkkrwQpT5UYK94AUeDSou9BTBTGJXJpRqIl60UV64levr7RMP7tGNjb6Fv628hSXbeOD5IuCAgCCKngyk2tl7mBr1ShAvPaa9tPmi/E4CVDQGOjE8SUVXCw0NUS5rzy+xtxOE1QCYMwaNQ1zX/fuvu0YSq4vkLFM9fQFUU7Dt3Xr94BWDxwOpHoPU2TKOv44uUmK2MaWVwjRtBb9FcWYIeQdTN/a9HFPTo9A48nruQUynKExOUx8apjA2hjh0AVPD2AFAaHERyu7E2bdJKFCcOgLcbwdGI13sv09P/QrWSJhR6Er3Bg8OxDrttJe/V5UhVVcLDmpjpClgw268Qip+c0Fx0oB2jy/C2gBXocDJ+NkZqNk8mVuTsm0HqOxw0dbsXlA8qssL0YBIAT6NtWXHrbY6ltdq+BqOBdo8FqdNJaChJeDSFr82OyaoJK3JFIZsskUsWySZKZBMlzk+liGVLzBTKbDa9+3OpeVUf0YlxSvks/fvfYu19u67oirpaMvEosSnNndiyZh3SVWQpVYKaO0nf2ERb33pyiTip2TCjxw5jc3uuSVgLWAOEciHCuTB3tdzFztadvDD6ArFijFcnX+X+tmsr4VNVlZF0hicOHyNYKiMpKtuyMSSLGXdDE762DjyNzfNlja196zn3xsvkknHiwUnqmluvels3g2z2PJVKEmDeMXm9+A06fAY9kXKFM9kCbWYjhuZmCseOI8cTKLkcovXaHYE1atSoUaPGe4GczTH7n/4TyR/+cMF0y44dNH7zj+azf2vUqHFj+UAJVx9EVFUlG5zGGxJozB5jk3yWhMmDUrUzWBbZNHqMlzq3M5WA0WiOTp8NVVV5deo1RjbW0xIK0TKRRwwPIq9eheuRRzCtWgXpZrzDPyWSjzA89gprfevm3QR2+1pkuUAicYByKcLk5A9Q1U3MzioUi5rwQiaEgTKKKFBRBU7OyGwgi7U8QE+5gpAvgihRaeikcDZKaWoW5Arl+jwlX4r6gglPZiX62AVGM8dRq3mMRh2Nrk0A6LxmbLc2UhyIU57OUU2VyB0IYex0opRlHPJD5Mp/jywWUR2HEKT7yBlEJmSVNR4TLneAtlSJoakEdSMqyZIOMeLhdGaUSkRBRaSsF5jJDFI8EMXdImG3d7L+tt9CbzBzYDjCcLSAda5L3pGxBGubnMu7rgZ3QykDogSrHgFJ+2i1mE1YXR7SsVkGJsZxVLTjF+jqQbC3w/lntVK7QoKc3sFPIkmmixXuu+U2VogSxbNnKfUPgKJiv3/nfNj+dWPzwdpPYEtvJ3XyRzgqKSxJJ+Lm30DQLexmp8oylelpysNjpMafQE4kLv4yGQRUJKcdw46dKNkcpeER8ocOodu1E6N5BApJTdTb/OuYjAHq/R8mkTxIuRShUo4Ti75GIr4Xi6WHarUJuPGdxS4lOZOnkNFKUBu6XFde4G23lc0Hzuar2obJpqdnaz2JcJ6JszHKhSrh4RSxYI7W1R48jVYEQWB2PKM5vwSBpp7LjyVeqTJS0LqYbXJo52XjCheRyQzVkszoyQgmm4FsvEghW9GcYnPkylVi2RKqIFB06Xn+dJhH119dh8x3Iul0rLjlVs698QrFbJqB/W+x6o67lwxEv1YmTp8EwGRz4G+/suNVzubmu/boGxsQRJGebTs4uecFyoU8/fveYN3Oh9BdZcfOgFX7shkvxinJJdqd7dwSuIVD4UMMJYfwWXxs9F9evATIVWXOZAucTGUZGB6iXNLOt+1Gge7eVXStXY/ZurjZg6s+gNMfIDUbZuLsKTyNzTdGsH4XqKpMIqllI1qsnZiMN+aLuCAIrLWZeSVeYTBXpOhRMDY0gCiAolIOBjH19NyQbdWoUaNGjRo3ktzBQ4S+/vUFpe2CxYL5S/8PTb/2a++qeUmNGjWujg9MxtUHGWdOT6BSZkX1GKp7BtkZYrrBR7JaIl7K0Dt0FFSVt4aiKIrK4fBhhpPDGGNZmvU+rAbt6bUgSVoQLoA9QL1/LQhgj41wLn5ufnuCIOB2b8Nmu5dYLMXY+ADj4z+kUDiHqqo47TZWG2fYGABvSydix+2U/es5KXeSd3bhtMwFRctVoq/vp3TmCCQnEN0piitiiEUZc9aNu9TATGGIYjWPKAr0dnnRj+yGlFYuIuhFzGu8WDb4EI0SqqJSHEpSnsigt/qxV9ciSFVK4il89wuoNgPVssLQkRkwSjRubUCqFqmLu2g57UdMGSmPjWE2Cjj1QUwr+8mlwlRLJvLhO1mzVROthmaz7B+OA9DkNiMIkC1VOTN9MYfmUqqhsxSCZ7Qso447wXYx6Nxr0OGpqwMEwrKCqiiIkg5fWwf4VoHeDKpKaOIE/zgdI1gso6LyeiKDfPsd/3/2/js4svs+80Y/J/TpnANyDjOYweTATEqkKJGioi3ZliVbjlqXV37f9bu1dZ3eW963vPZu7XXZXnuv1rvXK8teWZZM5cAgSszkcCJmBsAMcm6gc44n3T8agxlwEoaiVpLdnyoUGo3T5/xO6PB7+vk+X2z7RoGGi6nwzDOY+u2zjO6EU6aXfwi+iy8LfQjlHMLs94FGgH51epr8M8+S+pv/Se5rX6cydn5LtBIsFpS+Hlz9NgKP7CHwsZ/D9eBDuB99FHmzpX3h+RfRIvc1gpdLSVh8CQCnc4CO9o/R3v5RXK5dCIKIYajkCxdJp7/C+saXKRanMc23d1+vsL7ptnIFbLgDtlsvXCtCcrpxu/1QY192iCAIBNqc7HtHJ21DPgRRQK1qzJ2NM3Vig1K2xvpsYyyhDtdtnV/n8o18KqckscvZGLdkEena3SgRLKSqJJbyDVFuU7SyOiwEO1wkXCJ6nwt5rxfTr7CaqfDKbHLH+/JmvJEW+g8fA2i4m86d+YHz2LIb6+TiDbt9z74DOxJs1OjmB0dR2OrEabHZGL77fgRBpFoqMnvq9R2P7YpwZWISLzUy3Y60HKHf2xDRTkRPsJK/cT6baZoslGt8PZ7hv60keDGdZ25hgXqljM/Q+KmBXj788MOEegdu2TWwa+9+ACr5HInlxR2N+4dBoTCBpuZBEPD739723btdNiRBQDVNpspVBEXZOn/qajPnqkmTJk2a/HhhVCps/NF/YPmTn9wmWjnuuover30V6/ve1ywNbNLkh0xTFv4xRxAEHrjrIJHUebxOgaIkk+gapFAxKeRU8okcLVIBz5yP1OAenpo+x1L1NM6lBLvGc7R7+mB/O6aqIlqt5L75LXwf+WlEmw179z0EY+cxCnEuRk+yN7gXWZTRNI2JiQnS6TSmeRA4CUIJl3OR1tYQnYYFoVDj/FqZ14K76Ax68AkCNd3N+ZqNg0ffz/J6FPnUS3jSp2lVXFiH28iNFCmWLBiak3rlIWohkXQ1B74IfQcP4SqdbYR8j38ZDv/iVu6NJexA9lmpTmWor5cQFQlLp4vW3ndTPXEOtVIkv/Eteg/8KvNn0pSyNSZejlItqeRtKoIp4EBBWEzQyTL2cIGlvjhCRMS0ClQTxwlE9rEwliGwF56Z2MDEJOi08IH97bwwneTyRoFTc3G6nCa1aoVyuUypVKJczFOdew10Ha8/wLB/L9f6KERBoMftZMPpIqFVGaJKuKf3qgOk7QATyxM8u5FB61SRJQlJEKgZBt/PFPjQgw8iSBKVsfPU5uYxn3oaz2PvQXgbvtFZrtR4KV0Au4+Ed4DxWJyh179H/eQi9SKgG9uWlwJ+lJ5elJ5uLG1tCJk5GB9v/LP9YON6tVjwPPFesl/6Eka5Qv6VMXyH9yMmzsPKyUY5obdR0mqztWOztaNpD1AoTJDLnQfKVKtrxGvrSLKTcOhRHI633sXszRTSVYrphuvtttlWABsXGl0SJQu0jL6lbUpyQ1wKdbpYGk+RT1TIJytMvNz44COIAu23cVtVdYPxQgWAg24H0jUfjkKdLtLrJYqZKk6vFaffistnxemzothk1rIV1lJZsEs8vKeFjVyVsZUsYytZFN1K+C0a3Fr6Bynnc6zPXCY2P4PD691RJtWNME2TpYtjALj8QQIdO+vip62vAyBHIgjXuKo8oTA9+w+xeP4M6egq0alLt+xOeAW7bMdr9ZKr5dgob9Dl6UIQBB7ufpjMTIZMNcOzS8/ykeGP4LU2rp/CprvqYqFMTtsUW00oRFdpyyXo1yoc2rOXrt3D6DsQnj2hMP7WdjIbUVYnLxLq7tnmZjNNE9PUEcUf3tu3YahbbiuncwirEnpb1++UJPrtVmbKVcYLFQ64HVg6O1HXN3Yc0J5RNfKaTrdNaU4WmjRp0qTJD43y2XNEf/d3UDcbLQEIdjuRf/tv8f/8xzBME64JZm/SpMkPh6Zw9RPA8vQZAtWLaKpBeOg9HBo8zoXkBeJ1nWK5Ri2fRZ5/Cs2a59lsjCNqht7pLL2BXcg+P94PvB89kyH37W9TicXIf+ELdH7848iRvbR5uklVUthTs0ylp9gb2svCwgLpdMNxZLeHaWv7JWT5AvX6Clp9lvW1SWzlVpbFXdgqNhZTOvcP9lOIzlGtVjl//jxtNhfZmThRVzfd+/dSvUuhnp+gkEhTrt6H1eljXZwHV4hwbz+RfXdDaQDO/T3Uy3DxSTj0C2BpOEsEi4R9NIR1wIegSAiSgGl6CZw7Ttx4nsrKDJ7OcdoG97A+m90qBctY8tQ687Tng9g2VjGcMtVQEmU4TC2TJeDdQ/uR+4nOlMgky7z8jST1Vit2q8y7el0k4xu4SxvU1qJUdZXv5py0eK5x6WQWQK8DAjlHH6fPnKGrq4ve3l6kzbK+TpvChD9AspDDBFr6hwAwTJMXHbs5TQoMHU81yQcH95CoqzydzDFXrjJTsTN8//0gilTOnqO+sED+qafwPP74TcUr0zQxSiX0bBajVAJdxzTMRpc/w8DUDYqGwVdrUDPANHSMXIHvR2VaZlYRhfWGu0hxYGlvR+nrxdrXh+Tzbd/QlRI6Xzc4r05sJbcbz+OPk/3a19BzefLTTrxtfoRqplEyePRXGkLQJrLsxO8/jtt9iLW1M8jyKrXaGrpWIpF4ms7OX0CS3lqY+Ju5km1ldyv4Wm6zTsOA6FjjdstekH+wHCe7S2HXXa2k10ssT6RRq42Q9VDX1WyqNzOfKPLSdALTp1B3iEiCwAH3dreOIArsuuvGZVymafLqprMq5FLY1eJmuMVNolBjNVPi5fksg50ttPre2vHt3X+ISiFPdiPKwrkz2F0efK13XoKYWlmilG285nTvO7hjIUKNbuZbtbVf97+2oV0UUklSq0ssXRzDFQjijbTcdp2tztaGcFW6GraqSAqP9z5+XVj7bEXjO4kcBlcdXa1WC6GNFRzrs1gwaRvaTefuvTvanyt0jR4gsxGlWiqSWFygpb/RCVfXa0SjX0BVc4iSDVlyIcnObb9l2YUkuZBlz/bun3dAoXARXSs13Fa+u97SOm7HPredmXKVaK1Osq7h6eiAU6fRs1n0YhHJdX0p5db4NJ3/FU1RNQwiioUH/G767NcLWLqmsnhhDGvo9ue9SZMmTZo0uRajViPxF/+F9Gc/uy1+wX74MO1/8scoPZtfrL7N1RBNmjS5MU3h6scc0zDoKJwnJ0JFtDGrd6DMFnik/xFKbSVe5PvUT00jGl52XYqxy26H4jKDPUNY29rxvu99iHY7JUFgo6OD6ssvQ3SN6pNPsvvnfx5720ECuSUq2ShnY2foVDpZ2/zGu6uri/7+fkRRxDQHyGReJ7v4JDU9x5qWRa7fQ0ehhinAUk7l0ME+FjfmKedylF99DcPQyXu8FO/qoFp8ETVeoZ4dxqwFKFpmCYgmTp+f/kPHGhMOVwT2fAgu/lOjtGzya7DvZxpdxzYR7VcvWUEQ8B59J8UXLlMiSmblRTqHh1FrbiqFOrYWgVphHUQD53dNBB2KpQqull48kRKBwKO09dyL1eFEtGR55rlFalUVWTd47/sGKMSXWInHGyVfNpFUCdayFdoDLlxOJ07JwFGI4WyR0Fr2MVvzUavVWF5eJpFIMDQ0RDAYpNOmYHd70FrbifgGcPkDVHSDbyWyLFYBe4DOyiofKI/htB6gRZEZL1ZYrdb5fipPjy2E8957ESSJ8qnT1BeXyH/727gefhijWGxM9K79yeUw1e2dM69FB77hi5BVbMimwUOFDN/zBMl5O5gJdrJfKaL06Cjv+UVEl/vGKymnG10U4YaB5Zb2dlwPPkTx+edR19YpOTtwWbONx82/CEPXtwcWBBGrtZdw+Bialia6/iV0vUoq9RKRyGO3eabcnkqhTmajEW7eOuC9vTiSWYBqQ+i6XSj7ThEEgWC7C1/YwfpcllpZo/MmnQSnYwWeuriBbhqcqZTpbnHxQKsXp7zzLKmlVJm1TMOpdc9ACHGzk91797fx+ROLlEom37q4zifu7sVmufOMqiuZUheff5ZKPsfUiVfY9/C7cXh24GbbxDB0licuAOBracPXsrMsJaNaRUs1xK6tEuhrxyYIDBy9i1I208jieuNVDrzrMRT7rUW6VmcrU+kpYuUYhmkgCo3XH5/Nx6M9j/Kd+e+Qqqb40vwLbMj7MDCxiiIjThv73Q70pVkW5xql16HuXnoPHL5jR5DLHyDY2U1qdZmVyYuEe/oQJYl8/jyq2rgmDb1KXa9C/cYln4IgEgg+iNdz4I62bRh1stlTALhdIyjKzbtV/iD02a04JYmSrjNRrPBgaytIIugG6toa0q4bu/dM0+S5VJ6q0XCExusqX46l6bIpPBRw02a96rxbPH+O9dlp1KlLRH7qZ7e+TGjSpEmTJk1uReXCBaK/87vU5+e37hMUhfBv/zaBX/yFty9ztkmTJjummXH1Y44givgOPEFH/x70/ndhSlZqtRqXLl0iN5/lAwPvY6D9bhyyh7xFQylWiAgHqPr68H7wg+SqVcbGxjhz5gxJr5d6fyOrpXj2LKXFRWg7SJurDXuthJFd4dXzr2KaJjabjb6+PsRN0UgQBAKug7QU7Wi6QE4PIDtfpTWyiKxEcVSnWT13gkh1lfrKdxFdU9RbZqkcq7CYfgEjX0fL+tBKu9iozONwakiyheF7HkCSZXKqxmq1jh7oh8FHGzufXoDZ7277luPNKH19eO37kXQr9egqqczz9B0IsveBDsr+FIJk4ouVGBbTqOYa9YBIMe7EW72b3pFHsToaXQ8najVynsabUJ/NSnYqwdLiEgAej4f7joyiRPoRWnbh693H4UOH2MUsnS6Q5QCG5x4OHThCV1ejtKhSqXDhwgXGx8fxYyCLAu5QmHpbJ4m6yv+KpljcDNo+2NLBz7CGsxiFfBRBEHh30IskCBR1nVeyRQRBwHHXXTiOHwegvrxC+m8/R/bJL1N47nuUT5+hNjuHlkxtE60ERUF02BGdTkS3C8nr4VRrJxteP6LDwbtkGPW7GYoEsO4eYfJDv4LzSC+2gIm4fuLmF+b6WOO3xb7VTfDN2Ef3bmV0VabXqNY3nThrjcyzW2G1hgn47wWgWJyiXF645fI74Uq2lWKXCXbc3M2xxRVHmacd3DsPpjZNg2z2NJXKzfdRsoh07g4wcDiCxXr9h5/JaJ7vXFzHME0ymFQFk/lkiWHrzkLGG+MweXWuIWq0eW0MhK92anNZZd472ookCuQrKk+Nr2MYby2jSlYUdt/3ELJiRVfrXH71RdTN7pm3Q9c0VsYvUi0WgIbbaqeo0fWt1wZL+41dXrLFwu57H0CUZNRqhekTr2Iaxg2XvUKro3Gu63qddDW97X89nh6Otx2nYsh8J1VmrbiOT5b51c4Qj4a8iBurLJ4/CzREuMFjd7/lMrZG1pVAvVJmY24Gw6iTzzeuSadriHD4Xfj9d+Px7MPh6EOxhpGkq2480zRIpV685XV4I3L58+h6FUEQ8W26rd7qtXErREFgr6sx3oliBVOWsbS0kq/n+c6rn+VLU19iPDlOTa9te9xMucZsuXF9HfU4ad98TqxU6/yvaIqvxzOkVY10dI3Y/AwA/s7uHXWobNKkSZMm/7Ix6nXif/bnLH7s57eJVrb9++n72lcJ/vIvNUWrJk1+RDQ/yf0EUJIClLuewI9EbyDAwsIC2XgafapAtDRNl70DM6xSya6RQ8RqDTFfaSX9+hgFo7S1HofDQcf730/0s5+FfJ71r3+dgd/4DRyeLnzFNZzRGLPMMhoaZWho6Ppvp1fewKm7IDsEuhXJUsXadhlvi0lyo0hFNyimy/gsJbJyDavDhpZfJq9ECOUtaIXj5KsxKqSwWXwMHrublGzldCzDbLmGiYlTktjnGuZQaxzXxhisnQV7ALqO3fDYCIKA88hdeJ5fJCNdppyapeAax+PZz0phBbGu0TuRQhFdyG2L5COHsVScBBfCqOESllYnYytZxtdyELIyGHYRKOtMTU+hChU8gx5GR0exWq0sVKzMxIqcnE/Tnl8lfyFLttCG5t8NtTzKUpmhY120tLQwPT1NPp8nkUiQyWSwBdso2ByczZdI13XqpoEkCDwS9HDA1QoxP1QysHYGPO0EFZnjXievZ4uM5cvscdpotyk47zqOIImUXr8qKgmKguTzNX68XiS/b+tv0bq9VGi6VOVyPIOdRlbSXaGGM+aRmsrfRZPkgImWe9gfex1WTzfKAMNvcj7oGmxcbNxu27/VQfFGuB54AD2VRo1GKc4UkQasWKw1mPga+HvB5r36o7gbeVKbeDwHKJamqVU3SCafp7OzHVF8a6VP9YpGaq0IQEufd8t5dFOqOUjNNm7foduqUBgnnX4VQRBpa/tpbLbr3UC34uJqju9djmGajfI+Z4uNqaUUDh3Oz6QZOGzfkRgyEy8Szzcm/fcNhq57TLvPzt09HsbiKovJMq/Pp7hv8K1lGdldbnbf+yATL32ParHA1OuvsOfBd96006BWr7MxP8P6zBRqteEIC3X14PLv3N2jrjfKBOVQENF285B9h9fHwJHjzJx8jXwyztL4eXr33/ycBmwBFEmhrteJlWKE7NuPyUjwIP+wUUI1c8RKy3yy3Y9TCpPZiDJ7qvG8dPmDDN/zwA/UadHh8RLu6SWxtMDa5QlsoTy6XgVBJOC/H4vFc8PHGYaGrhfZiH0TtZ4mHn+K9vaP3XT5a9H1GrnsGQDc7lEkyc3T4+tMx4p84EA7vSHnbdZwZ4y67JzMFSnpOguVGoG2CAvnv4NcE9moJHlp9SVei77GgG+AvcG9eK1hvpdqNMnotCm8I9BwhM6Ua7ycKZBWNaZLVaZzJRwz4/SjI7oFXB2+t3XcTZo0adLknx/VS5eI/r9+h9r09NU7LRbCn/40wV/9lbclX7ZJkyZvneYz8CeA+OI8a1OTlMtl/MEwPjmMK6VQKtcwBZEiVeSBEKR1hKrOQrJAJKdQuGBBGpKxB1309PQQCoUQRZHio4+S/8pXya9FKbx+Ak//AcLpZdSFJHVfGc2mEQq9aQJbK8LaaTTDYD17FMNsI9B2EUuwRFCWyEgKxfkElrhKyBrB6vaxXDcwNwSycTfelodYTmVZq8wT8VvRugd4SnSyvp7atpmSrnMiV+QN6wEekNYZrK7hn30O0e6H0OANj491cBDHG31UanHUaJS0+1Wsth7Wimv4L67grYuUjHn8jw+zWtCRFrpZSJZwXUySL9d4cb7hSukLOXnP/jbeeHGMWrSCqmo4zQiKolCvagxZrMwtxykX65w3ZnDLDrB6GiWOgkC9onHptXUGDoU5dOgQ6+vrzM/Po2kaWmyddcWJGgyiWBUcksQHIz46bZsOmo7DMPs9iF+GgUdAcXC318XlUpWMqvFsKs8vtAeRBAHH0aNYurpA05B8PgSHY0dCRlrVeDrZcB21WRXeGbg6kW2xWhhy2JgpVznhGmFveQmpEG1kUrlawO67uqLkdCOHDKDt4C23KUgSnscfI/OlL2EUiuQXRHx9OhIliE1sX9Y0cJYrCP4I2P0Idj/h1oOs1p5F0wqk068RCr3ztvt5I2ILeUzDRLKIRLpvUv54LdGxhptHtkJk5I62lS80AutN0yAef4qOjo/tOKPr7HKGF6caAZ8Rj5WHRlv5QjxNb9CJHKuynC5zdjnLkZ4blxdewTBMXp9rPLe6Aw66Ajfe/kiLg7pkcmmjyMmFNC0eK4ORHRyfG+AJR+g/dIy5M2+QT8RYOHea/sPHt12b9WqF9ekpNuam0TV1816BUFc3fYdvLE7fjCv5VnLb7TO1wj195JMJYvMzRKcmcQdDBG8SAC8IAi2OFlYKK2yUNtgbuppPpZsm30zkiLgGSNUnGRKXORV9DjN/gOUzpxF1E4fTy+Cxg1TMKpKqYhEtyKL8lpxXnXv2kVxeol4rsTr3LK6gG7dr1y1FKFGUEUUfLZEniEa/iK5XicW/RXvbRxHFRpaaaqisFlZZLawStAfZE2wE1+fyZzGMGoIg4fEc4dnJDS6tN9xwL88k6Anu7LVmpwQVmQ6rwlqtzsVCBa+0Rl1XsZQFBqQ2FowYmqExlZ5iKj3FOl1U5C4ijhDvDl4t9x122uixibyS3OCFVJr56CJ5LYtuVRn2SBzOXmZfz763bdxNmjRp0uSfD6aqkvzv/53kZ/4baFerFqx7Rmj/k/+IbdeNKwuaNGnyv5emcPUTQD1fRl0rIdpELKsC9c2MEwGDlJwmXSggGy5USaZo1ik5DNLFDGK9laFKmL6RYWRXQyAxdYO2rl0kOrphfp7k919Gcn6QjZSCVbXjK1QpV7LUlvLIARuSe1NYWT4BusZGSqGudSJKMh7lAPELs7j8YXoFmenTL5LXHRQ7e3jHez6McnmR1xamADhbX2I+u0ZWNFB9ftZCXVBrBKiHFAtHPQ5arRYmihXGCxUqhsGr7Y+Qn3kSXzlD+MyXCBz/JB5/x3XHRxBFHEePUP9+nFR6DK2YZX7968gbG3jmN5BtEsL+FuRggOM9H+SrlSziWpWFeIGN9Sxmq42g28pjo61ksxlqQg6nT8EouqnnZC58f5VaRQPTJGAKaNUNSmqRllaJwPH9+Ps60TWDmVNx1JrGzOk4XSMB2vvbCYVCzM7OEo4nuVyvsb6xweG+Hj7SHsRzbVZR6z5YeLHhZlo/Dz33IIsCjwY9fGkjTaKuciZX4rivUeJ2pXX8TlENk2/Es9QMA7so8oGID/lNrqP7/C5mylVyusF4z2McuPx50Gow+XU49Am44h65UkIX6APH7R0yosOB573vJfeVr2CokI+34LurB0EtNpxN1RyoDdeNYJpQK0C9BLlVlOIGvoHDZLOnyRcu4nLt2nIw6arB3FicWklDsUlYbDKKTUKxy1isV3+LokB8ueHSiPR6kCy3qZA29MY5AGjdvy1I/nbUanHqtc3OMoKAphWJx5+itfXDCMKtt3tqMc0rM1dL+z50qIOzxcZx6fPZ6TQVZuNFXp1N0h1wEHbf3H02uZ4nXWo8v27lohIEgXfuCpEua8TyVZ6ZiBFwWgk4d16SeC0t/YNU8jmiM5eJzc9id3tpH95NtVgkOn2J+MIcxqarThBFIr0DtO8awX6zLLVNNN1gMVXG77AQdFkx63W0eBy4cb7Vjeg7eIRSJk0xk2L21AkcXt9Nt9vqbG0IV+WrAe1XspWWqzVEUeTX+w9wKbpEqZznnyY+h6E3yp8jkQEuL3zlunW6LC4GvAMEjSBhdtbK0e5yE+nrZ33pRbLJZRz+Ebzeozt6rKIECIffQyz2Teq1BKuxpykpgyzmF1kprKAZVz+cB21BQjY3+Vzjue127+PF2cqWaAWQLNaZSxTfsrB5M/a67azV6pxObxCWUgxKIl2Odobk3Tww+B6mM9NMpCZYrlSYqgGsYKlOclYK0+poJVlJEi/HSdfSmKaJI5PBmlExlFYUt5810U6+KvKzpkmzuKNJkyZNmlxLbWaG6O/8LtWJa75MlWVCv/EbhP7VpxAsO/8M2KRJkx8ub7tw9dnPfpZf/uVffrtX+y8W0zRpt/TjbwtQ3EgjeSR0m0aJPEVHEatkIax5yGQy1IolDBO8kTayVgmHKhLNaITPxvAcb8PUDCoXklBSkUO7qM+ukl1PoX/tOZZbHDjUMkE9h7YmslGax+8O4n6goyEwRM+hGyar2REMUcbr0EnkZkGAXHSN6sQEgl4jpUpkXSOYy3O855G9nDgFxelZLibnSVBHtTpxHDiKIIr02a0c9Trpuaad+TsCFu73uZkpVzlfKHOp/33sn/4n6uUiC6/+Hbn9H+fuljZardvfSKzDwygnT+IqdVNejxJXE7RuXMDWXaZiD2LpD9DqHMbtktjX52O6nkZZryIBPkPgAwfaEQyNy5cvA9DRF0Yq+dCKUCs3nCGiJDDSayNTuYDdWsA9ehft+/u3xrDn/jZmTsUo5+usTKaollR6RoPs3buXSEuS2OQM6HWOFJJ45DdlJlnsENnbEEyi56DrLhBFeuxWRl12xosVXssWGXba8Fl2/rQ1DANBEHgulSNRVxEQeCLs2y6abRJWLAw7bUyXqpyoCuzd9V7kia9CPtoQ1QYeboTmX8mnuoMSOkskguvhhyk88yxarkZxVcL18Ievuje0GmYpTWV9AbtDgmq2USZaTOCrHqGkBFDraRLJ79HR/jEwRaZPxSikGsJOpXDzbSMIYJqIkkBL7+3LpUjONISzO9xHgEKh8cFHtnjw+46TSDxHpbJKJvM6gcB9N3yMaZq8Pp/ijflGnlKH384HD7ZjlSXi9ca112mz8ugeN7F8lUJV4+mJDT52rAtZul4M03SDE/MNt9VgxEWr9+ZldACyJPK+A238wxvLVOo63zwf5eeOd2G9gxD4a+nZ7DSY2YiyeP4suUSM7HoU02xkS0myhZaBIdqHdt02KL2uGVxcy3J2KUuxpmFXJH71/j7MWAyMK/lW14vZN0KUJIbvuZ8Lzz2NVq9x8XvP0Da0i9bBYSzKdhGw1dl4fuZqOcpqGYfFwalciQuFhtPwmNfJvX43gcJRvjb1BUxDRxAlQj29yMqNRb+iWuRc/Bzlcpm+ch8joREGfYPY5Fufn47de4mufx5T16llbSiDd1BOKQVYNYNcjr1OsnYWm70Hm+3qa48symiGxhsbb3Cfz49hqAiCzIVEb6N8Ghjt8JIt11nNVDgxn2Yg7HpbXVe7nTaeTaRYyC9iSC5G2ztoUVuor67iGRnhYOQge4P7+avFeYL5OLV6nA4py0wmy0xmZvv+1muosST7TTsRr4w0dISFmsIuTOS3ccxNmjRp0uQnG1PTSH32syT/y19iqurW/dahIdr+459g33tn3YCbNGnyw+dtF67+8i//8jrh6q/+6q/49Kc//XZv6l8MpmpCSUeRbSimFcdoCMfRVuqVMoV0kmIqiS+dJBOLYRg6qUodu8/NUjaFUlNYjip0P68hSEJjEg+0+9qYHt6DePE0CTWHVnTidcl0yQnmhRTRkgOfzYeerSEnXwNDI5n0UDAiYBoY8ioI4HB5MFemUA0Tq9WCs7+PdDbG9IkYwuIFPIEAcSNLUSsjmaDuGmV/KMARr4OwcuNvMWRRYMRlZ8RlJxX0MmX7KMLYP6CoBeyXvsKX9Y/wC11t28QXQZKwHz6C9kIeNVqgVpjHUisiyyZ6n4JVtpLPXyCfv0CHDHEP6GUrcs3NA95e7FKAS5eWqdfrSJLEnj17KBaKqDkLet3EG3HgDduRLn+Vy4kSiaqFF+sjfMIwt/KSrA4LI/e2M3s2Ti5eJrGUp1ZWGTwcIRwK8ZGBGtPT06Q3c6/8/jeVe3UcbghX1RykZraypR4KeJgr16gYBs+l8vx0i/+2E0dd15mcnCSdTiMPjzBebbhc7vE56XPc3Klzr8/FTKlGXtO56O3mUMeRRu7W8hvg67naSdDqguCNSzdvhm14GD2ZpHzmLNXJS1i6urANb9qvZSu4Iug+AcJhkKSG8yo5g7j4KuED7yca/zpqPU0mc5L0/MCWaBXu8SAIUK9qqFWdekVHretXQ/03f4e63Ci2HbzkXXGU+XvAGdzx/hmGSrHYcBi6XXtwu/dSrW1QyI+TzZ7Gam3F6RzY9hjTNHl5JsmZpQwAPUEH7z/QjmVTkErUG66YiCJjs0i8e08rXz67SrJQ49W5FA8NX+/cubCWo1DVEAS4Z2Bn4/fYLDyxr40vn10lXarzzESM9+9ve0sChSCKDN19P+Pff5ZyPksmugqAxWprCEUDwzcVd65QVXXGVrKMrWSp1K/mnlXqOkupEm3RdYBGpptr57lLNqeLobvu5fKrL6LVa6xMXCA6dYmW/kHah3dvCWmtjlYEBExMFvILWGwDvJRpZKT1KTJDqShjp2ap5HM8xH5Eq8Tw/Q/iDAXRDA3N0FANdeu2ZmhEi1Eupy9TpkysHCOxmuDVtVfp9fayO7CbLnfXVgfDa1HNVRwBO8V0ifyqgjpaxXKLTC/TNJnOTHM2fpZMNYNpmpQMGROTWnWFXt8gw6HD9Hp6iZVjPLP4DMu5ecK1MhGbg5ViH+c3GtloI21uHtkdYS1b4ckzqyQKNeaTJQbCO2husEMUQaBenkU1NOKCh9F970I4O059cRGjXkdUFE7ly2iik35fHz8V3kepssDl9GUK9QIhe4iII0LYFiJ1dhJNDGOx2jj4wHtR7A4ytTq5VOr2A2nSpEmTJv8iqM0vEP3d36F6/sLVO0WR4K/9GqFP/2vE23xGadKkyY+Gt024+vM//3OeeeYZEokEX/7ylzl06BD9mx3s/sf/+B9N4eotIggC1l4PerGOmgOLz4WeV6mcS2DfFyLc3Uu4uxeASrHApZefR87nWE3F8CgeZs0YvqhIIFXD6rBg7fXgOBDB4+9m/Y0SGSFHMZXCIRkMtjlweCKUzXGqeR+5Wg7rhoCcOI+hiUSzgxiCDGIapDIIAm2qgWix0dHRi/zAfRQVC8U3JsgmEswlSgzKIpKmopsgu4O8UzF5NODacVvyoCJzb88uNOvPkjn/JPOVBP0zX+NZ8z18uG8Q6ZqJtW1kN+VTp3Bke2F6BUlSsO3rwN9+FKutHVVNYxoakgC7WlQ26imCGqiVOSYnniOTzQIOIpFhqlWDag3C3X047K2NUPD0PCSm6fQ7OFPZT6omcXmjwJ72qy4eySIyfKyF5ck0sYUc+USFyVfXGT7eQltbG9FolGKxyOzsLEeOHNnq2gg0Otd5OyG3CtPPNLrZWd04JJF3BNw8lcyxUKkxVa6y23m1e9ibMQyDyclJkskkaQTOriXwBQP02a3c67v1hDOsWNjltHG5VOGNbJF9/e9Ezq9CIdYIVK8XQVIaJXRvIXjacffd1Ndj1NfWKL38MkpXF6L9JvvS/05IzUGtgC25hse9j1zuAtNnpjHLHuq6lUVJp5TK4rFb8NoteL0KXruFkFXGIYrYAKNuYhgm/rYd5EyV05BZbNy+Q7dVqTyHYdRAEHC7G5lBwcBD1GtxarU4icSzKMrHsFh8QENgeH4qzvmVhrOlP+zkiX1tWy6qmmGQ1a4IVw2Rtzvo4HCPn7NLGc4uZegLOukOXt2vumZwaqHh3Nrd6iHk2nmYfVfAwQNDIV6aTjIXLzK5nmdvu/eOjsEVZIuF3fc9xOTL3wegbWgXkd6B23Z2K9c1zi5lOb+apa41HFqiIDDS5iZeqJEo1JiOFQlt5lvdrJvgrfC3tnPosfc3Shfn59A1lej0JdZnp4j09tO+aw92l5s+bx/zuXm+t3oO1eOjXq1jzSZp3VhgSbv67azD66d3/yF8LY2xWKUbH/Neby/HWo5xfuk8cSHOcmEZ3dSZy84xl53DITsYDgyzL7QPt9IoxzNNk2z2FJ5QmEpKxFRtrE1N0nvg8I2Pn1rmxdUXWchd7cJpla0MdTyGozpJ2CJgs1Tp8PUgyy6cFidhR5il5EnGKkX22AY5l25kfw21uHj3nlZEUaDTb6fDZ2ctW+GN+TT9Iefb5rqazkxDbR6I4Hf0obV1o5yfxKzWqF68SGXfAU7kGqLhAbeDAZcbXPvZH96/bT2rk+PomUYH1oEjd22JkB5Zona7ZgxNmjRp0uSfPaZhkP67vyPxZ3+OWbvasVbp66P9P/4J9gMHfoSja9Kkye1424SrT33qUxw8eJCPfexjfOMb3+D/+X/+H9bX14lEIkQikbdrM/8iUTrdCE6Zai2HkrWgrZXQMlVKJ9dx7A8jeRsTJbvLzb53vptLr76AqhuoyQxqqcCaDN5SB20uC4JVQvI0SvNaWlqY8niQ0mlaBQFlTcXlc9BTjDFtL7NSWMU+9TpWv04mFSFhBjH0KoJ9DdOQCAkS4tIKAM7jx3AeOkwA+Om+3fz9q7PUMwlSRoHd3hJTgh9dlnEJGgsLCwwO3plbR27dg7/0EOGzT1JKFbDnFjibPsro7rtBulpqKI12k3nuIhYth6HYiBx7gq7un0MUZUzTQNNy1GoJfPUkEXeC4uUFyvU06XgWFBGnEyxKhlw+TblURjfOIcsOOtt+DnnmOQBcoQ5c0mHiyQonF1LsbnVv61IniAI9o0FsLgvLEymqxTqTr0QZPBphcHCQsbExisUi6+vrdHRsL3PSBt9N7eRncdZLDaHo4M+DKLHXZWeiWGW5WuP7qQKtgonFNJFlGVmWEUURQRAwTZOpqSmSySR14AQKaqVCtyzx3rBvR5PNe3wupkpVCrrOhVKdw3s+BKf/J+RWGmV0vi646zfu6PxBYxKeipZZtuyhmKnTWi0gv/wK3nc/euMHOIPQdqDhgFp+ncCxX2ZpYp38hkDNmGXF0kc9bAPNIFmokSzUbrgat03GY7NgTeawSCKKJKLIYuO2LGK95nZH6gwKgOKE0J2FcRY3ywTt9m5kuSE8iKJMJPIEa9EvYOhVYrFv097+M4iiZZtoNdzi5rHRVqRrrqMrbitoOK6ucN9AkOV0mWShxjMTG/zCPT3YLA0R8dxyhnJdRxIF7unfuVvsCoe7/aykKywkS7w0naQv5MShvLW3CZvLxaHH3r+ja65QVTm9lGFiLYeqNxxysigw2uHlSK8fj83CueUML0wlWIjnObK+jsjO862uG5vTRf+hY3SOjLI+M8XGbCMsPjY/S2x+jlB3Dwd6R7icWeJ0WsYWPUdQl3m0mkE0DQRRJNjZTevAEO5geMcijiiIdDo7ORQ+hGqqzGZnuZy+TLwcZy2f5ZX557HJL3MgvI8He+4iYkui1tNIsoXWrkeIz8TYmJ3e5g67wmxmlpfWXqKqVQHocndxKHKINmcbkihRrx8jGv0Sul4hFvs2bW0fQRRljoT2Mr32LZJVlVzOgdVipS/k5PHRtq3XNUEQuKs/wFfOrhHLV1lKld+WDoPFepGX117GJ9ZptbmIOCJMmiJ37x6hOjFB+dw5vhvpQjdNXJLEg/4b52sV0ylWJhudTsO9/QQ7bxy836RJkyZN/mVSX14m+nu/R+X0mat3CgKBX/olwv/n/3HL7sRNmjT58eCOZyRf+MIX+OhHP4r8pm/OHQ4H73jHO3j66ac5sKlY1+t1FhcX6e3tfVsG+y8VQRSQfFaEhIBtlx/dZ6N6KY1R1SmdjmHbHUDp2AztttnY+9AjXHr2eUrLOWr1IqnaMudDdkSrm+6SRvl8AsfBCJVKBRPQW1sJJJPoFhflqQW6BiMsqitoNYF84lViZYViYRgdk0J9hVZrGXN6A583CIKI0tuD4/jxrfF6HRYeGe3g6XGJFK0ULSJyyCBipJHECqurqwSDwetL5W5CrZ6kWLjEYvZVVFseMVOkVJEpX1xjevZJLF09iKE2LBYLeA3y5jwIJtpdfXR0fhhRbFyrgiBisfixWPzAMASgkNzg9PkzaJY8rh6FwYFOTDNPrZamWmmUOBl6ldzcFwmWN8tNht7NXYSYTy6TKatMxwvsbr0+O6ml14PVITN3No5W15k6sUHfgTCRSIR4PM7CwgKRSKQxbiBXVvn6RAWK+3nEPEEHqzD3PAy9C0EQeDTk4XNrSRL5An8zN81hrro+RFGkLkos5YusVaoUZIWK3UnVqGFX4N0eG44b5CHdiJAiM+KyMVms8EauxL7OMJYDH4Pv/t+A2egwOfFl2P1+cO8sJL6cr7M0nqSQqoJgQWrrYm1lhcLJdXb3zuMc7r/xA3vvh9g4aHViJ85QSe8mX52gZF1BCgs4rKPc3R+kourkKiq5ikq+olKoXhV9ClVt2983QzQ07oq9xIFWK/aeO3OUqWqWyub14nbt2fY/i8VDJPweNmLfoF5Pkkx9n0T97i3RaqTNw7v3tGwTP4GtfCuHJOG8pixWlkQe29vKP55cpljTeO5SjCf2tVHTDE5vlhzu6/Diddx5oKggCLxzd4TV1xepqjovTSd4bPTOXU3Xru92nF3O8MpMEn0zs0qRRfZ3ejnc7cdpvfo+Mxhx8eJ0AiGVIpMvE3Ra37JwdQXFZqdn30E6du1hY26a9Zkp1FqV5PIi68tLzIseqloV1azwXlHC7/TQ0j9IpG8AxXZz1+NOsMk2RkOjjIZGSZZT/OUrL6JrM+TUOi8tn+HVlfMMWXPsdtsIuHtoDx/GnPsuhqGxemmC/s0ujBWtwkurLzGXnQPAIlq4t/1e9gT3bDv+ihIiFH6UeOw71GoxUqkXCIUewaWtYTOtrFRqpMUyj0ZsvG9/2zYRFRrdKdu8NtZzVU7Mp37gDoOmafL8yvPU9TpWWeEDrXs5V9S5XKry4OFDVC9NMm5KLKysYWlr5ZGgB9sNXsN0TWPm5GuYpoHV4aLv4M7C63+SaGaHNmnSpMlbwzQMMv/r88T/7M8wK5Wt+y3d3bT/yR/jOHLkRzi6Jk2a3Al3LFx9/OMf57d/+7f5tV/7NT71qU/R3d297f8HrrFZKorC8HCzhejbjdLuQnIplC8kMCoalckUer6GbTgAAqjzRTrlIYxQnVpilg1UVkvT1N1OAjUrrnSVjRdn2ahFcbvdiF4vRUkmXKlQ2dDxtUocD9nJrC8iGGCke5mmhFE8hZkbp7giMNLWiyiI2EZ243zwQQRx+4RipM3DYrLE5Y0CNbVR8rN/9zBqbJZSqcTly5c5evTolmjzZnS9TLE4RaF4iXotgaZp5PIJDIcf0+4lnhUIFzZYL4v0TZ2jvjpHItiN7HKzetSBaTroH/0osnwDV4CuQWEdSnGWszlqah1BczDSex+BUGhz+zqynECWZ8hnXicfO4HPHEFqOwzeTlqBvpCThWSJN+bTDEfc1wkPAL6Ig5F725k5FaNWVpkfS9A12kZKSqGqKgsLCwwPD7Oeq/CNsSjlug7OQc7mEoT1VZTVU42SwZY9BCwyozJ8PZEgjoQfgxqQQSRjiKTLNap1EyQrFlnBYbFQzeUZLmawFLrBu4Ng8k3u8bm4VKxS1HUuFMocEWXw9wMi2P1QTMDZz0HPfdB9D4g3FsU0VWdtKkt8KY+5KUx4Iw4I97GRTpMvwbknzzHyiQC+jhu4Kawu6LqLxLmzLK1tsGr1kpcUnO0JfLY8Dx66j4DLd/12dYN8VdsSswpVlbpmNH70q7/Va/72luYx1QqXN+qM3LOfO/nurVCYBECSbDgc14twDkcvft9dZDInSKQnOLGmAUN0BRw3FK1ge77Vmwm7rdw3FOLFqQQzsSKToUYXwbpmYJEEjvXtPMD7zXjtFu4ZCPHSdIJL6wVG2jz0BH9wd82NmEsUeWk6gWmCzSJxsMvHoW7floPsWtw2C+0+O6W5BOlinXAkgOh9a6WMb0ZWFDpHRmkb2k18cY6Vqcu8pEsYogVRi7GLKJa+Pg4f+cB1r3VvB/GsBZ8wiss1jM21zETqItV6itXaAvG6jK/QjycRQyi5sScXmEuOkXC0otkLjGdeRzOrCIJAu6udd3a9E6/1xsfF5Ryi7jtKNnuaQmECSbIzvz6GU/VSN63YLXV2dRduGPrfcF0F+dq5NdZzVVbSlW1lqnfKZHqSlULDsXt/x/20uQOMFZNUDYN52Ypv125eTxTQNjYY6e1i6CbZfEsXz1Ep5AGBoeP3IP8z7ADVzA5t0qRJkzunvrRE9Pd/f7vLCvB//ONE/u3/heh46+9hTZo0+d/PHQtXFy5c4DOf+Qx/9Vd/xX/6T/+J9773vfzmb/4m73nPe34Y42tyEySPgvN4K5WLSbR0lfpqEaOgggBatoYgiPTtO4zH0sEbp16nnCqSWD/D61YrD1sizG4sUK+XCfrcGC6ZsttNeWYGp7uVwvk5wg/a8drqVGoD5NRh3Pk02egZBDFPwWZh0eqh49H7GRi+C/EmzpR37o4QzVXJVxrOkYEWN0JghLNnz1KtVpmdnWVkZGRrecPQKFcWKBYuUa4swWYXMoBcrkYu20Oh4GJ09BA9e1r55vIcXcsvsF5ap7uk4qjU2fD4Wao6MASZgZwfvU1HMuqQW2uUuuVWG6KVoRMrGsQTBkLRQ6erFfvCPPhFcFyd9Hs8hygu/BOGoZKTMgT637H1v7v6AywkS6RLdWbiRXa13riMxeFR2HN/O1Mn1inn66xN5gh1thBLRYlGo9QUDy/MFdAME0VuTBjnPMeZqxUYcRRg6jvgilAWHFgX53AhUJYsrEfaN4+bAfk8Qk3FbrMRVBQGgz78pkEmuYZcKnLhwgXa29u3Z2rdgoBFZo/LxsSm62p/ZQyLKEHHIdj1OEw9BdU8LLwEyWkYeT84Q1uPN02T5GqRlUtptFojXNvqsNC9N4CvZTN7xr6f6a+8hlrRuPSNc7Teuwd72LhuLBllH7PrKyTzJbDPUN47Srd7mYGQhVrhZUznh65zfsiSSMCpEHDuPGAz9dKLzKRgXe5gdqrETx32X+c6uRGmaVAsXgLA5dq95fB7Mz7fccqVKBfXLmAzTmFaQjw22n9D0QquOq4iN2licKjLx2KyxFKqzAtTCczNEPqDXX5c1h+sCvxQl4/LG3ni+RrfuxTnF+7p2QqMf7tIl+o8Pb6BaTaEuI8c6byhYHUtwy1uLqfjZMp1hJbWt7W7HYAky7QODHPaHaa2HiOgatztCZCvFFkhRawS3+o4+HZhGCanFhu5ZMMRPx88OEpJfYhvX/wzLiatVHUrMW2VaDlFa2APZkIinytw6qX/H5lg4zxbZQt7/UfwWPezlDAJuir4HRYEBAzTRDdNTAN000S3HEYV1qhVV9hYfoXFVAmn5KfD00E4WOBc4jR7QruQb3Ad9wYdtHhsxPIN11VXwP6WzkGuluO1tdca6/T0ssu/C0EQ6LYrLFVqjBcrWAZ2UU+dRanVuC++htAeum49mY0oG7PTAHTs2oMn/M8rlqCZHdqkSZMmd45pGGT+/u+J/9mfY1arW/dbOjtp+6M/wnn3XT/C0TVp0uStcsezm9HRUf7rf/2v/Of//J/5/Oc/z1//9V/z+OOP09/fz2/8xm/wK7/yKwQCb/3b/iY7R1QkHIci1Oay1BbzaLlrgga73diG/LjFdiSnjfKz32U9W2Zm4VVsruNYaLyQ91naqKWqJOxF0gODOKd19NQspcsbKOEgar4NOaXhqOcpijqS1Urt3n4uDbZyqTrG65dmeKL/CUL26ycVNovE46OtfH0sSnfAgcdmAZuF3t5e5ufn2djYIBgMEgr5yGZPkS+MY+hX32AEUcbpGETX25mdvUi1WsPv95PL5alWa7yjd5jvRwaoJsdpS7xBq1ZGz02yv1IhYe3Ccun7rFz6Gu0eC8qbvoUv1k2msyIIBgGXRoehok5NYat9H8HpA18PEl4kKYy7oJMD8j47XlnmytS6zWunJ+hgKVXmjYUUwy03bxNvsUoMH29l8tUo9YpGeU1BsltYzeY5+eoYcrgPj93CBw92MJco8vpcihek++jheRx6De38lxhnH7qqcVyyMN3agmSx4JElbJUSlUoOvxV6vT6OHti/FX5/Uq0wMTFBMplkcnKSPXv27Fi8uuK6KlWLjG0scQyg7SAE+uHYr8Hs9xpdEAsbcPqz0PcgdB6jVFBZGk9RTDfOpSgJtA74aBv0Il0jfrQd6MaajTLz4izlWJz4JT/6kgXHfV78kYbDJ5+qMPZGguVqEL+Qoss1w2Dbfnb1vY9E4lkqlWWKxcu43SPX78CdkF4gqCfQQk4uCSNkMxW+dynGo3tabjsxr1SW0LRGeLTbffP2yYIgMJ0/Qr42jUSJIy3nsMv7udHLsGGaJG/huLqyvnfvbeXvX1+iqm6KgxaRo707K8G9FaIo8OhIC/9wcplcReWN+TT3D13/HH+rVFWdb56PUtcM7IrE+w+031a0AhgIO1nKJDBMSDj9vN3vNKZp8lwqz+VyDYfXx1GPkwf9Tr40PUummuGVtVf46aGfflsFs5l4kXSpDsBdfY1cMlHLctTnZti5j2XaWK0U0XSDQu0ShV0a8dUZyloNaq24HN102+6Cmpvzq7kdbVNghICwiEwJAMV+mN/cf4SvzT1JSS0xnhznYOTg9Y/bzLr6xliUtWyF1UyFrsCdfWNtmibfX/4+qqFilay8o+sdW8dzn8vOUqXGYqUGSEjBIHctziCdO4c5uhfhmogCtVZl7tQJAJy+AF2j++5oHD9OFAoF3O7rv/hoZoc2adKkyZ1RW1hg/ff/gMrZs9vu93/840T+r99GdP5wHORNmjT54fOWv0J3OBz8+q//OqdPn+bEiRM8+OCD/OEf/iGdnZ384i/+IidOnHg7x9nkJgiigG3Ij2N/CEEWEGQBx/4Q9l0BhE0nR9euER5+z7tx2xVMrc7F86+Tkau09Lfjd3nxOFy44iJG3ILRvxtcLVQWE+QmdEoxA61aJFFdoaV7gHd9+v/NA+/5Fbq8jRLRklrixZUXt9web6bdZ+dfPdjPE/uv5uR0dXXh3SzxGR9/nYWFvyObPb0lWtnsHYTD76K761cxjAO89to01WoNSZLo6elBFEVqtRqF6cv0FTJshPbx1NDPU+k5huky8blrHBTXcRdmMAsxotE18oU8pjOE2nKAGecxTkuH0TrvxtJ7N3sfuBfRGcTEglp0QCWDED2LfebbCBe/hJcWBMWF4QqTz5/ftn93bwZgp4p1XplNUqzdPEtJscsMH29FsojoqsnSosRSooReLeITq/zc8W7Cbutmto9EVXJywvYABpBYvIxj5QUE4B2je/it/g5+syvCT9kEeqJL7EJnwO3kyP592zo27t69G4/Hg67rrK2tMTs7e9Nz9Wb8Fpm9TiskpjlpeKhbnFc77clW2P1e2P8zjXI+Q0Offp7FbzzJxPfnt0QrX4uD0Yc66dzl3yZabW3jvqMM9gu0OEuoi4vUyxrTJzZYnkhRzFR57fvLTKzmyNqCuNqK7G53cFQbw+XchcPR2zj26ZfQ9RsHs++IShYmvw5AS1sn/bsa3comonnObGZG3YrCZii71dqCotxc3JlLFBlbqZI1H6TN58RrrRGPP4VpXu8yS6s62uZ5Ct/EcQXgssq8a+TqBPZoT2BHAtBOiHhsHOpuiGBnljIkbhJ+f6eYpskzExukS3VEQeCJfW147Tsr77IXc/ikxnGZF2/dIfN2GIaBpmnUajUqlQrFYpFn1uKciKeplCt06yoHRR1JlLiv/T4A4uV4owve24RpmpxcaGTn9QQdtHobBarZ3CkAQs4O3j/8C3xk+CP0+rrxOxTCHXbCEScdPgePOdr5nQc+wRN7BzjY5aPTb9/R+TexkjMfxMCKwx7hfUffQZs7zHCgUdp/Nn6Wul6/4WP7Q07C7kbZ3hubHSzvhPOJ86yX1gF4qPMhHJarwtegw4btGmG9u6eLvdUSRrFI9fLU1v3VYpHpE69Sr1YQRYmhu+69qfP3J4Hjx48zPX39dXVtdujnPvc5zp8/z+rqKl/5yld4+umnfwQjbdKkSZMfT0xdJ/XZv2XhQx/eJlpZurro/tznaP2//6ApWjVp8hPO29JV8Pjx4xw/fpw/+7M/43Of+xx//dd/zX333cfBgwc5c+bM7VfQ5AfG0uJEDthBAEG+XiDoGd7NI+9R+da3n0VTVebnFtBrOh3v6MKdDpBOp6GiUch48AYPYxYL6GqEsqEQ16MIvb10v+M4kaFdAFut4p9eeJpYOcZ8bp4B38ANx/bmUihRFBkc7OSVV05TraYxDJG+fhs+7wE8noNYLF7q9TqXLk2ztrZGPp9HFEUOHTrEvn37KBaLTE5OUiqV8KcSOFNpSh09fNF3D57ILP3xcfrsrdhd/SxmNIqSn0UliFBxQGWztE6SsFqtjIwcxOH3U67EUeMlVGsZpSsBqTkozQMgCxbcnY+RN2Lk8mN4vQcRxcbErd131XV1ejHD2aUsvSEHe9u99IWc15WaOTwK3QdDPPWtOTJFCQkFdwSG7SXscmNZRRa5uz/I9y7FGSt4CJmduGsLOFmh1VfecjRmMhkmJycxTROn08n+/fuva5rgdrtpaWnBMAwqlQpra2vIsrxVbnI77i5MMlEvUEZirPNRjitvclcEB+DYr1Gf+C7TpxKUq1WwTmEdOEL33gD+1lt/SBBkGc8jD2N8+Ss461GWsnZM9yDr8zlOnl4nmq1gSiKOYQ8Hht5PcOGbkFtFSM0SDL6TSuXvMPQqhcJFfL63EMqsqzDxFVArICuw96d4wB4gW9GYT5R4ZTaJz6EwGLmxSKLrZUrlBeDWbqtCVeXZiVjjkHk6ODT0XtKp71OprBCLf5tI+DFE8ap4k9gsE5QFgcBthIihFjfv2KWRragc6vbdyd7flnv6g8zEChSqGt+7FONnjnbdtLRxp7w+n2I+0XD6PDAcuiPHjhqNEnBZyWgCS6pCXTO2ymt3Sj6f5+LFi9Tr24WZy0iM0zgHneiEUBlbabiMu8PddHu6Wc4vc2L9BP2+fiziD56lNJcokiw2xnF8M5esVotRKS8B4PMdQxAEIo4IHxj4ACuFFU5vnCY04MU7VcajOpETq+zffbUhgGmalOs62YqKAIiCgCiCJAibtwVEASSxH4FDWGV5S/Q51nqMmcwMVa3KWHyM423HeTOCIHBXX4BvXVhnJV1mLVuhw7ezoPq5+Ys8NfVlFJeT0c5DDPq3d5e1iAK7nDbOF8qICDze04Z1oJ/a7ByVM6cRerpZm75EfGFuS/Dt3ncQh+ftyTr7UREMBjl+/Dif//zneeKJJ677fzM7tEmTJk1uTm1+gfXf/30q585tu9//iU80XFbNLKsmTf5ZcMfC1T/+4z+Sz+fJ5/MUCoWt29f+DY0Pt2NjY2/3eJvcAsFy6wncyOgomVKNE6+/gV6psbGR4B+f/DKjoyP07W2ndjFGuVzB2zKKUbBRVXVSepW4005rMEj/oe3CQJ+njw5XB2vFNU6sn6DX04t0m2+9TVMnmztLNnuScLjKygqUy05E8R0Eg42JfyqV4vLly9TrdTKZDHa7nY6ODvbubfzf5XJx+PBhZmdnWV9fp99QuTBziWQkyLhlgFKfmyN7fgGX1c1wvc65c+dYm52lXt9AkiQikQi7du2iq6trS+ixdLhQExW0ugs9MgQ9D1CKLmGXS2B14fOEKKz8LYZeJZ/fLpI8PtrGK7NJpmMF6prBfKLEfKKEQ5EYafOwt91D0NUQugpVlacXU6S9EmJJoMPZjs2ModZqrKysbHXg3Nvu5exShnh0mZdrbt7h6KLdUsCfG4fMKHnJz8WLFzEMA5vNxv79+1GU6/OcBEHA7/dTr9epbtb5Ly0tYbFY6Oq6Tcv4wga+lVcYJcQF1xAnhQB7dR2ntP0cV2oS06lD1JzLUJ2j3bNG2/EHkNw7+2bL0taGff8+jLExOgpjEBhkbL7SEK1EgfConw/e041TkSAzBtkVmH8ey7Ffw+3eQz5/kVz+HB7PwZvmS90Q04Tpp6HQEJQY+QA4g4g0zumXTq+QKNR4enydnznaRcRzfVx7oXgJTANBlHG5bjyZNAyTp8Y3qKo6iizy3n2t+BzdaFqKfO485dI869qXaW39AJLU+HAV3ywTDCky4g7K0q44o95uFFnk4d0Rvj4WZT1X5cJajoNdvre8vtl4gTfmGy6dkTYPh+5wXWo0SsCpMCl6UQ1YTJUYbrlaYrVRU5kv1xhx2fBbrr8WVFVlYmLiOtFq7hrRqgWD46hIgoBpmiwuLhIKhbi3/V5WCiuU1BJj8TGOtR67w73fjmmaW46lTr+dTn/j3GezpwGwWLw4nUPbHtPl7qLL3XjeztZPEF+cY/XSOOGeXhR74/GCIOC0yts6Mt6c7ct4FA+joVEuJC5wPnGe0dDoNkfUFQYjLkIuhWSxzhvzKX7qcOdt93U8ep6vvvE5KkYFayaHO9fPSuUikd4BrNdMKu7xuSjpBsNOG2HFgnb0KOXLU2Snp5j9279Baw03jo/VRufIKK2DP/kizgsvvMBv/dZv8cEPfpA//MM/5A/+4A9+1ENq0qRJkx97TF0n/bm/I/EXf4FZu+oKt3R30/4f/gjHsR/sfbpJkyY/XtyxcPXzP//zCILAvn37aGtrw+1243a76ejowOPxbP195afJjw+CIHDvXUc4cmg/Jy/McO71E6jlEufGJphzzhL2uWhztFEyDXwHDrCwuMFK7QIWU2Swc2RrYnTt+u5pv4cnp58kV8sxmZpkX/jmOSOVygrJ1POo9Ub5VTjsBHooFm2sLKcIBQusr6+ztrYGNCaZdrsdt9vN0NDQtmwmWZbZvXs3fr+f6elp+nWD0/PTaA6TZFc7LqubarXK/Pw85XIZt9tNOp3GarUiiiKqqm7LqZGDdkSbhFHVUdeKWAa9mBYHhHtAkpABl2uEQmGCXO4sHs+BLYeMXZF4dE8LDw2HmYkXmIjmWctUKNd1zixlOLOUoc1rY6jFxdmlLMWahuBX2NfqwZHVSOQq5JJFluVlWltbsdlsSKLAbo/G+uUEeSDZ/272iOeoFtKsv/Ikq+4D6KaEoigcOHAAm+3mPfD8fj/xeByn04nH4yGbzTI7O4vFYqG19SZB07oGl74JpsHdVo3xQD8Vw+Dv1lK8N+ylx74pxKWrzJyKodV1BE8b/Z4LBJ15SE6C+4EbrjpZ16gbBu22q0Kb8+67qc7NI5bKKPMnWPcexDAV+ob8PHFX59UuZwMPw5nPQTkN6+fxRg6TL4yja2WKxUt4PHeQc7N2FjbGG7d774PQVZFAkUU+eLCdfzy5QrGm8fWxKD93vAu37arLxjTNrW6CLufQlgvvzbyxkGYt02jB/K6RFnyOxn4HAw8hSU4y6deo1WKsRb9IW+uHsFj8tw1m/99Jf9jFcIub6ViBV2eTDISd247DTkkWazyz6Tpr8dh4ZCRyR1lRpmmirkVRJBFXT0O8mY4VtoSrumHw5EaaimHwerbIHpeNu32uLQHLNE2mpqaoVquIosiuXbuw2WzM1DQSuTKdCHTaFT7SEsAqS+RyOcbGxigWi6RSKUKhEHuDexlPjnMufo6RwAgu5a2XKy6mysTzjQ/aV7Kt6vUUpfIcAF7fUQTh5l9GdO87QGp1GV1TWbo4xtDxe9/yWK7lcOQwl1KXUA2Vs/Gz3N9x/3XLCILA8b4g37m4zlKqzHquQpv3xq6rlfwKr6+/ztTsOSpGBVEQOSANQUVlZeICKxMX8bd30No/iK+lDbcs8eGWhhCr1musx6IksimEdBKpWsbsaKNjZC9tQ7uQ5B/98+PtQJZlPvOZz3DkyBE+/elPc+7cOf7u7/4OZ7OspUmTJk1uSG1+nvXf/T0q56+J8BAE/L/wCSL/5t80XVZNmvwz5I6Fq9/+7d/mc5/7HIuLizz44IP85m/+Jrt37/5hjK3JDwFBELBZFR48tpd9IwM888IbRC9NkC/VyKVSbNhWGBrYy4hrH/PZBTKWGntdEQK2VkzNuK4MMeKIMOQfYiYzw6nYKXYFdqFI250/mlYinX6FYvHy1n1u914Cgftob5c4deoU9XqdM2fObOUvud1uNE3DYrHgdDpvGkTb0tKC2+1mcnKS8fQCjpxJ0bDymm0aLbGBrjdCq1tbWzly5Ajr6+sUCgXW1tbIZrMMDg7i9/sRRAFLu4vafI76egm5z3Pdtny+oxSKk+h6hUJhAq/34Lb/K7LI3nYve9u9ZEp1JtfzTEbzFGsa67kq67mG48kiCTw22sZA2MnC+SSG0cpi/DI5uczc3Bx79+4lmUxSSa7issqUTCszZSt+zz6Sqy9SqajUzCnsnUMcffgojtu8Ofv9jUmgYRh0dXVhGAb5fJ7Lly8jyzKh0A1ymRZegFISBAHvyGO8Rw7w3VSeoq7zTxsZ7vI62V0VWBpLYOgmkkVk6FgLntQArJ2B2AT03g/XCBMlTeflTJGLxTIAe112Hg54sEkigqLgfOghCl/8Iiszyzg7XVR27eU9xzquilYAnnaI7Ib4ZVh8GUvLXpyOAUqlWXK5s7jde2852d8iuwyzzzVuBweh93qRzW2z8IGD7fzT6YZ49Y3zUT56pGurNK1WW0etNxwzbvfoDTezkm4E9wOMdni3dZ4UBAG/7xiy7CaZ+C6ammct+iVaIu8jXm9MyMM3CWZ/q5imsbPj8ybesSvMUrpETTV4YSrB+w+039Hjrw1jdygS7zvQdsddCo1cDqPcuHY6d/cznYKFRGmrXPBioULFaJSPGZiMFytMFqtbAlY5HiORSADQ399Pa2src+UqL2WyyBYLLYqFj7YGsG2Oy+fz4fV6yeVyLC0tEQwGOdZ6jOnMNHW9zhvrb/BIzyN3tA9XME2TN+Yb10W7z0ZXoCH6ZHOnwTSRZRdu160bDig2O11797F4/iyJpQVa+ofwhMJvaTzX4rA4OBg5yKmNU4wnx9kf3o9Huf71cCjiIuBUSJfqnFxI88GDHdv+nygnOLF+gpXCCvVqhXI2S0QM8O59H6C3cxexhVkSiwvomkomukomuorV4STSN0Coq4fUyjJr05fQ1TpCdwf2ZBKXw0Xb8CjOkZuX5f4k82u/9muMjo7ykY98hLvvvpvPfOYzHD58+Lav8U2aNGnyLwVT10n/7d+S+Iv/gnmNe9rS0037f/gPOI6+hdiIJk2a/ERwxzOYP/3TP2VtbY2/+Iu/4NSpU+zdu5dHHnmEr3zlK43soCY/MfhdNn72iQd5/Gc/iqOtG0Gxk88VGRs7yTfPfJsNIY3gVBgZOggI6LkbhzMfbz2OKIhUtSrn4tvry0uleVZX/35LtFKsYdrbP0o4/C4kyY6iKOza1cjNMk0TQRDo7e2lt7eXSqXhUunr67tlJzyHw8Hufbvx+ksogo5dhZenpolVasiyzNDQEEePHqWjo4PDhw/T3d2NIAiUSiXOnz/PyZMnWVlZQQhbEQQwVQMtUb5uOxaLD5ezMdZc7gyGcfMgdr9T4b7BEL96fx8fOtTBUIsLSRRwWWU+cqSLwUijA2Hv/hCBFjdBdyu5RIWl+TVWVlaYnJxE0zRanRJmrULi8hSnz8dZL3WTLzqwViU8sTLlqemGwHSLwHW73Y7d3pgYFwoF9u3bh9PpxDRNJiYmyGTeFECeWYLVRrkSncfA38Oo28En2oOEFAsmJs8tpvjrC2vkdQPFLjNybzueoB1aNieUlQzkowDopsmZXIm/WUtuiVYAE8UKn4smWa40riulp5tqdx+JYo3A9EWOBaQbB033PQSiBPUyrLyxVbapqtktt8otqeZh4qtgGmD3w8j7twls19LisfHYaMOVFs/XeHpiA8MwN49lI5TdovixWtuue2ylrvP0+AamCUGXwkPDNxYV3K7dtLZ+CFG0YuhV5qLfIFuJAztzXJmmydjYGK+99trWc+ZGFIqXWVj8r6TTr952nW/GaZW5f7AhcM7Gi8zGizt+rGGYPD2+QbasNsLY97c1OozeIWq0cT0JFpmB3T0IAmiGyUKyhGaYnMo1crN2O+28M+DBKUlbAtZn5tf4wswiRQSCwSCdnZ0sV2p8I57FwCRgkfnpVv+WaAUNYbGnpwdo5GJlMhnssn2rRHAqM0WsFLvj/QBYyVS2hOzjfUEEQUBVcxSLjYBur/cwgnD7sPHWwWHsm/lOi2NnMDffg5fyS3x15qs8tfAUr669ysXERZbyS2SqGbRbvG5d4UD4ADbZhmEanNo4dcNlRFHYyuWaT5SI5Rv7k6vl+O7Sd/mn6X9ipbACgJSuco88yoOeuxgZOYbT56f/0DGOvv/DDBy9G1egcW3VyiVWJi5w7ulvsjxxHl2tI4oSbUeP0/3wu/BGWqmdH9txg4mfRIaHh/noRz/KxMQEDz30EB6Ph6GhIX76p3+af//v/z1f+9rXftRDbNKkSZMfCbW5ORZ//ueJ/+f/z1XRShAIfPKT9H/ta03RqkmTf+a8pa/zrVYrn/zkJ/nkJz/JuXPn+MxnPsMnP/lJfD4fn/rUp/j1X//1m5cgNfmxQhAERrrDDHz8A7x0boZzz30HPZ8kl0wguQIMHzmEyxpAL6lomSpy8PpyEK/Vy77QPs4nznM+cZ69wb04LU6y2TfIZN4AQBQt+P334PEcuM7xEQqFGBwcJJ1O09vbi8fj2Qr193g8N3YEvYm10hq2FivtDtCzTjRNZ9buotrdR18osCV8iaLIwMAAgUCA2dlZisUi5XKZ2dlZFqQF2msevDgQoyXoul7M8PmOUixNoWnFHZWmiaJAX8hJX8hJTdMRBWGb00QUBQaPtFCv6eTKKVJrBV5Mv4JkESnnqzhtXhy5OhVVJ1u1MNq5C28tg7WyRr2WZ/nEBLb1F/H6aLiRPO3g6QB3G1wTpO73+6lUKmQyGfr6+ti/fz/nzp2jWq0yPj7OgQMH8Hg8oNXg8rcaQpgz1BCJNgkrFj7eGuDLF9Z5I1EGAZ5zC/zsvhYcnk2Xnae9IQZVMhCbYFEJ8f1UnpTamCwrgsg9PicG8Fq2SF7T+dJGhqNeB/d4HJxtGcahzOPQNfqnz2Lu672+nMwRgPbDmMunqbwxC8N92Fo6qdZWyWXP4HQMbnuMaZqY1Sqi3d4ogZz4akP0kiww+tNguXmZJcBgxM39QyqvzCSZixd5ZTbJfQNuSqUZANyuPdeN0TRNnp3coFjTkEWBx0fbbhkibrd30d7+ETY2vkG6olIqzWIYdUKW27e8T6fTW+LjysrKDYObNa1AKvk8mAbZ7Gns9i4UpeO65W7Fvg4vl9cLrGUrvDAVpytgxyrfXlx5fT7FQrIhKj20K7yV5XSnXBGu5JZWXA4rnX4HK+ky07ECNadEQdcRELjH5yKkyBxwOzhfKHMiU2AtnkA1RVYlB+8Kd2Ar13gqkUMzTTyyxEdbA9dltwEEAgHcbjeFQoGlpSUCgQCjwVHGk+Pkajlei77GhwY/dEcljwAnN7OtWjw2eoON45HLnQXTQJLsN3XwvRlRlOg7cITJl79PMZMivjhPqLePF1ZeoKSWbvo4p8WJR/HgsXro9/bT5+3b9n9FUjgcOcxr0deYTk9zMHyQoD143Xp2tbg5MZ8iW1Z5eS5KW2Sdi8mLGJvB6R7Fw6htiNL0DIIo0LV3H+I1x1mSLbT0DdDSN0ApmyE2P0tiqeHCEkSRlv5BOnfvRbE7UCNtZJ/8Mno6Q31uDuvg4HXj+Unm7Nmz/OVf/iVf/OIXEUWRT33qUzz++ONcvnyZixcvcuHCBb71rW+hadqWk7hJkyZN/iVgahqpz36W5F/+1TaXldLTQ9uf/DGOw4d/hKNr0qTJ/y5+4DqUQ4cO8d//+3/nT//0T7c6Cv7RH/0RH/7wh/nN3/xNHnzwwbdjnE1+yCiyyLuO7aK31ct3vvltKhtrSG4v995zBHGhgF5S0TM3dlwBHGk5wqX0Jep6nZPrr7HHWqW82W1NsYZpibwPi+X6cpMrdHV1bYWFx+NxCoUC0HBb7WRSuFpcBWCorZ27j7yT55NZVnXYMEy+sJ5iyGHjwYCbwGbejd/v5+jRo+TzedbW1kgkEui6zoaRobSRw5pMoYtOgsEg0jUTLUUJbpWmZXOnd16aBljEG5dpSRaRXXe1ki/kuDh1Fi2nIiDgcrkw6gIdgVZW8zKC24WtP8yR/QcgeobJVzeo5krMrgTYY0lg1xYgvXB1xY4AeDuh8xh+v59oNEo+n0fTNGw2GwcOHODcuXPU63XGx8c5fvw48sx3G44kUWqElUtXXyIM3WB5LMlAtIZVsDDmFXC1OXg2X2DN0Hgk6MEqitCyl+ziCV7YSDIjp7bcTHtddh70u3Ftih19divfTmRJqRqnciXOJQvEiib9e45w39oFjPV18t/6Fkp3N5b2dqRQaOtaMLvvoXpuGbVghanLOB17qCqr1GoxqtU1FN2HurxMfWUVdXUFo1zBNrIbV2sFYdMJxu4nwLWz0qqjPX4ypToT0TxnljJcWj5FSI6jWGQsRT+uRBK3TcZtk3FVDRLnYtTyFYSwlYdGIoTdN86/uhZFCdHe/jNcWPxu43qpzVPM5LAGH7rlNXYlEw5gY2ODvr4+LJbtWVzJ5PMYxtUPe4nEc7S1fWxH+34FQRB4ZCTC599YplDVeG0uxTt33VhY0w0TVW80Krgi0uxt93Cg8613f7siXFnaG2WKwy0uVtJlFpJF1nyNa2rQYSW0WV5pEQWOep1Y15awaGWmseALh7lUrXOp2jgWTqkhWnluIsBdcV2Nj4+TzWbJZrP4fD7ubb+XpxaeYr20zlx27rrueLdiPV9jLVtBEESO9wUQBAFdr1IoNvLSrs3P2wm+1jYCHV2k11ZYujhG3FHaEq2G/cMU6gXy9fw2IaukNpZZL60zlZ7inV3vZCS4vTTxSkh7US1ycuMk7+l9D0W1SLFe3FpnoV6gYo0zEY9yrlBmX92D0ypjk20cbTnKnsAeJl/4HoIg4PD6CXf33nQ/nD4//YeP0bP/IIVUCrvbjdVxNePJ0taGpbMTdXWV8unTKAMDdywY/rhyzz33cPLkSVpbW/mDP/gDfuM3fmOre+wHP/jBreU0TePy5cs3W02TJk2a/LOjNjND9Pd+n+rFi1fvFAQCv/RLhP/P/wPxFhmvTZo0+efFWxauisXidV0FOzs7+Xf/7t/xzW9+kyeffJInn3wSTbt9WUKTHxzTNKnXE4iiBYvlrXcYG+hs4e6j+4gmuwj4vGRTCSTBQK+XsaVV7KqOeIPyLZts40jLEU6ufo/Y+j8RCfTjkB24XLsJhR7e8UTMMAwWFhrii9/v38pnuhWmabJaaAhXna5OWh12fq7LxmKlzguZAsm6yky5yly5xkGPg3t8LhySiCAIeL1evF4v9XqdjY0NomtrGIkatVqNzGSWdDlHW1sbkUgEt9uNIAj4fMcplWbR1DzF4hRu962zaBoh3uOk0y8jSQ46Oj5xXfc7xSaz9+5uLs9MoqHi9fhpDXfS1d1BqMPNqVSeS7EiE+UqxyUJW/89DLeoTL68hlYqMF0psqc9haUShXIjO4dyejPE/AK+wDCoNkyLg2w2SygUwuFwsG/fPs6dO0etVmN17Hl6C5sfDHrvB3fL1vg0VWfmVJxCqlGKdqDDyyN7AzydyrNcrTFRrBCtqbw76GHZNsAp1tF0ASoZWv0tPBzw0GHbnn3WYrXwi+0hXs4UOJ0rcT5eIK2Ata+HtpCGPj9PfXGJ+uISAILViqW9vSFcyAFUhoBlKMbh1Th21yzVcoVYeRWn0XPdeaiefB61uoLncC/yvndC5Nbn7Voaok0LxZrGUqqMlTlqmkFOi5Ar60BDnPEUNToSVQQTvEC718Zo280F2zcjyy4M9/1YKhMEiJLPX0DTi0TCj93wOVQul0mn01t/67rO+vo63d3dW/eVSjNbIrLXe5Bc/gKaViCdfgW4gzB7IOiycrTXzxvzac6vZClUNeqasfmjU9cbt1V9eylXq9fGw7vvLIz9WvRiCT3X6Fhr6WgIV4MRF9+/HGfDMNDzFUIuK3f7toelb2xskIzFGAYe7u0iG4hwMleirOvYRJGPtvq3xOybEQqFcLlcFItFlpaW8Pl89Hp66XR3slpY5fX11+n19iLvsKPl2FoRkAi5rQyEG8JMoTiBaWgIgnRnDQY26d1/mOx6FLVWZfzks9DtpN/bz7t63rW1jGZoW4JTvpYnX8+zXFgmU83wwsoLWGUr/d7+reVlUeZY6zGeX3mehdwCf33hr29YomdIJkgVTNUkmq3zs/uOc7jlMIqkkFpdoZhOAtCz7wDCLUq+ryDJFnwtN3ZsO44dJbe6ipZIUl9YxNrfd8PlftKo1Wr87d/+LT/3cz+3TXR+M7IsMzq6MzdekyZNmvwkY2oaqb/5nyT/6q8wVXXrfqW3l7Y//mMchw/9CEfXpEmTHwV3LFx5vV5KpdK2D7Bv/jArSdKWINDkh4tp6lvB1LVaHFG00NHxiVu6m26FIAh0dnZSKpXQa2Wmp6cxdZP6RmPSaH1uCbvfidVq3fajKAoR3SRUvYxmVlgtrnHPwK/g8Ry6o8lqLBajvBnAvFO3Vbqa3nITXGkVLwgCfQ4rPXaF8WKFVzJFSrrO2XyJyWKFu7xODnucyGJj/Yqi0N3dTWdnJ0llhezkBtVSnVJdZWVlhZWVFRwOB5FIhEgkgsPRR7m8QDZ3Cpdr100dMZpWJJn8HuXyIgCGkaNSWcbp7L9u2Xw5Q+dwgFouwD0PHiPQ5kLaLCu8N2hlJlGiquqcXsxw/1AIm9PC4NEWpt4wqRlOZos97Lr7CUS92siXykdh4yJUcyjpadxJnYIlTGbDu1V+6fF46OrqYmV+Cn3yKaoRP5bgAGXnQUoLOcq5OuV8nUqhjrmZ7dQ25KNzlx9BEPhoq5+TuRKvZopkVI0vbqQBARQP9nqWB9UlRtv2IN7kPMqiwDuDHqw1g7PVFKYgUPNZebr/GA+3tWOPrqGuRzGrNcxajfrCArXZFfRSAEQRi5jDKNXRqzqmJiFVL4EoonszyL5u5P49KH39mJko5adeRTcNMmcTuHr82DYz1XaKJAp8+FAH0fQ669EKNc2BqhympLspVFXEjTLeRBVMMEQBhygwolioXU5j2xPc8bYSKricw3SKAhgJyqV5NvSvb+ZgbX/JjkajmKaJoij4/X5isRhra2t0dnYiiiK6XiWVegEAm72DQOBBRNFGJnOCQnEcxeIH7izQ+3hvgOmNApmyytwOsq58Dgvv29+2PWT/DjBNk/KJ1xt/SCKWzUYNDkWm02fnTDaPtVjnWNhDq/XqpL9UKjE93ciM8vv9DPT0IIoiB9x25so1Wq2WrY6Dt+KK62piYoJ0Ok0ul8Pr9XJv+73809Q/UagX+Pb8t2l1tuKz+vDb/PisvuuaVACs56qsZms4nQ6O9zbcVqZpkM9fAMDl2o0k3Xkppc3lon3XHs6ffZFCPIoc7Obw8PbSCVmU8dv8+G1Xvww4rB3ma7NfI1PN8N3F7/JE/xN0uju3/r8rsIuxxBiZambb+7wiKbgtbtxK46ddERlbquIiTK3YhqXNgmkYLI+PAeAJt+BrvbNA/xth6ejA0t6GGl2nfOoUSt8NSomvQS8WqUWj6KUShH/w4PofFmfPnv1RD6FJkyZNfmyoTk+z/nu/T3V8/Oqdokjgl3+J8G/9VtNl1aTJv1DuWLj6N//m32x1W/J4PFsC1bW3mx1wfvjoeo1C4SL5/Hk07erk0TBU8vkxgsG3XqLZ2tq65air1WrU63UEi9gILS/XqdjEbSHQjQnNNCaXsWoSxYrJhupHLCVp8VxAUZStrCqr9eYlU7qus7i4CDRcDjsVPq8EAFslK2HH9smJKAjsdzvY7bRxKlfiVK5E1TB4MVNgrFDmfWEf7dc4gURRJDTSjpIysOVtqB6FuJalWq1SLpdZXFxkcXERh0PBomRxOht5RC7X9blCxeI0ydTzGHojtFgQREzToFSeuaFwFYvFUBwi3f2thDu3C48em4UDXT7OLGU4t5zhQJcXt82CJ2Snd1+IhfMJCqkqixeS9B0IIQQHIDgAPffC+nlYeg2fNUchHydz/imwxKDnXkyrB78zQmr5O8TSYVZjbmwDRxA2Nq4bnyAKdO8N0tJ7dWyiIHC3z0W3TeHbiRxZTUNE4FAozL3R89hyIuiPgHzz826aJvPLOQ4ZEmsWA7/Twpqq8cVAGx/YPUKvXUFPpVCjUeorUaqXyoAOpoZhMzFNG5gWBElBUuaR/GVsLRW8nRKCZQFkE+wbKPf0k78Yx/ANU3zlFepra7gfebiRfbVDBEHAxhwBpxVJdtLddRgQqM1mqeVMzF4bql2mtsuHJ1HFjJaoR0sgi9iG/bcVr+qGQUbVQRAYCh/HrzrIpF+jWl0jkfwukfBjW+vQNI319XWALVdgLBajWq2STCaJRCKk0y+j6xUEQSIcemTTMXiUUnmOajVGvvAKrcaeOxJLZEnkif3tnFnKIAqNMmNFFrHKEtbN24okbt3vdyhI4s332zRMzKqGYJdveHyq4xNULzXKoxyHjyAoV5+vjoCNci5HtaJyyHX1POq6zuTkJLquoygKIyMjWzl3iigy4tr5OQe2HIrlcpmlpSX2799PyB5iJDjCZGqSteIaa8W1bY9xWpzbhKxWZyunFhvl1n6HwlCk4Q4rlefQ1MYXA543dSq9E9p3jfDsyS+DaeKN6oTvvb1QY5ftvL///Xx19qsU6gWeXnyaDwx8gIijIQ6Kgsj7+t/Hcn4Zu8W+JVZZJeu2c2W0m9iNDS5vFDi7lMEiCQwIWSqFxn717Dv4tpT1CYKA4+hRct/4Jlo8jrq8jLIZoG/U62jxONrGBmoshhaLY5RKGKaBHgjA/v0/8PabNGnSpMkPD1NVSf3N35D4r/9fuNZl1d9P+x//B+wHD/7oBtekSZMfOXcsXP37f//vfxjjaLJDVDVHNnuRQmECw7j6om539CCJNorFKQqFcXy+u5Ck2+fq3AhRFLcFPBuGQX48RmE5jW4XEAdc1GqNcrpqtUil8hqqtgImOORWlrUhaqrBTGwGi9ZwQGxsbDAzM4PH4yEcDhMKhbY63V1hfX2darXacEv17bwE5Eq+Vae7E/EmzidFFLnP7+aA28Gr2SIXCxVyms7TyRy/3BHaNqkSHRYkvw2pVMYv+Oi/ezf5fJ5YLEYikaBer1MuWzFLMpnMKqnkl+nq+gQdHR3bXC7F4tTm8bQQCD6IoVdJp1+lXFrADOnbuoYVi0WKxYYA2dLSwo043hdgPJqjphqcmE/z6J7GcuFuN9WiyvpcluRKAbvLQtugD003MEwBpeMwtO7Hf/kVVs6coFRXqS6dozI9w1p1hHLNippzUKwYVOztOMp1fF47slXC6bXi8Cg4vApuvw3FfuOXjHabwi92BJkqVWm3KoRww/pzYGiQmIK2m08aL28USBRqyAh8ssuLLezje5kiVcPg6WSOX+0MoYRCSMEgptkKShmzVkOO1DDzcUxTQC8EEGwuNMchqvavU88nMQQNyRAhNQuAJezD/6//FcVT49Tm5qkvLJD5xy/ifvRRlM4O9EIdRAHJefNSHdPUKRYvAeB2jYApUL2UaohTgCVox3sgjCCLmGEnVRPq6yXqywUEWcQ24LvpugGSdQ2ThrOlxargEg6i5eoUK5coeedJSa8QCj4ANLLgNE1DEATa29ux2Wz4/X4ymQyrq6u43VUKhUZukt9/91YJsSBIhMPvZnX1HzD0Apn0K7S0vPuW43ozYbd1q9viTY+VqlOdz6FZKoh93hsKF2qyQm0qjV7WsO8JonRsL/VTNzYovvwS0Og66Th+7Or6TZMN2WzkwRkC9YIKm4LU3Nzc1vNp9+7dtxTMd4IoivT09HDp0iVSqRSFQgG328197ffhVtykKimytSzZWnara9+VHKkrglapprEeC+M1BznW60fcFPPyuTEA7PZOrMrtG1HcjJXyKtUuB1zOEa67SK+tEOzsvu3jXIprS7yqaBW+Nf8tPjz44S1nlltxsze095brEEWBd+9tpb6Za3ZiNkEsdpYWOwQ7u3EH3/p+vRlLdzdySwQtFqf02mvUZmZQYzH0TPaG3VUFQcRshpk3adKkyY811akp1n/396hOTl69UxQJ/uqvEPr0pxF/wPfxJk2a/OTzA4ezN/nfQ7W2QS7/IqVSfGsCKAgiLtcIXu9BFCWEppU2u5GpFAoX8fnenrawoijibPEgxOoIJrjaOjCEMrVagnTmLGpdwqQHu20Ql+s+WrJRnpt/DlVTEbwCATlANptF13VyuRy5XI7Z2VncbveWiGW1WllaamQZRSIRXC7XbUbVQDM0osVGaPO1JS43wyVLvCfkZdhh48lYmpSqsVZT6XxT/pKlwwmrafR0FbOibbkJBwcHyWazxONx4vERVC1BpRpjZuYVyuXDdHXZSCaf23LB2WwdhMOPYrF4UdUc6fSrGEaNSmUFh6N3a3vxeBxolCz6fL4bjt1mkTjeG+DlmSQT0RyHu324bDK5skolIJNeNMlslJlcL1C/vEHZJiIg8MGD7fSGnHh33Y8Q06nE1jizUMNStwINx47LLmBxu1FdAXDmGL5vAK/ffUcuCasost99xbkjQ6C/IRrFJm4qXGm6wWtzjUyu3qCTdq+FsNNGxGblc2tJirrOmXyZe3wu6ssF1HgFELDvb8PafdX5pcZKlC8kkevt6L49FAfyiI5dhIxWSE43crAG34UY7sb9eBeW8XFKr7yCUSyS+9rXUIaPAK0gCMg+K5ZON5aIA0Havv/l8gK6Xtk8ZrupnE+gJht/W1od2PeEth4jCAK2PUFM3UCNV6jN5xBkEWvPzct4E5vdF+2mgLKYp7hUQDE6sJZrqKtJirMrCJ1ncHfuZm2lIdiGQiFsm7b5zs5OMpkM2WyKldWTyFKjOYLXuz0LwqqE8HmPUyp+j0JxArd7eNv1+IOiF+qUzycwKpsZh9L2/dZLKrXpzNaxA1CjxW3ClVEuk3/qadANJI8b96OPbstIWq7WSek6HrtMZ8lkOlZgpM1DIpHYCqzv7u4mGLy+G555h2Wi0HhdWlxcpFKpsLS0xOjoKBbJwpGWI9vWW1SLZKtZMrXMlpiVqqSY2oiTVmcoC+tEvL0Am80EGq9fHs9bz+swTZOzsbMIIRf+SBsuwc3i+bP4WtuR5Nu/zftsPt7X/z6+Pvd1qlqVb859kw8PfRi34t7xGCRR4Il9bXx9LMrS5Djz0RSE3Rzc+/Y6nRquq2Pkv/1ttGQKLZnaPg6PG7mlBTnSgqUlghAIksxl39YxNGnSpEmTtwezXif5P/4Hyf/219tdVgMDtP/JH2NvumWbNGmySVO4+glgY+MbFEtz1KplJKcDWbLj9uzH496PLF/tuiTLTlyu3RQKE+Tz5/F6D21z9bwVTNNAVdNULTFyXEIlQ3KmDrZrQvcFgVDgga08q70eP/PqPCuFFVaVVe7ffT+CKZBOp0kkEqRSKTRNo1AoUCgUmJ+fR1GURkmiINDb27vzY1Pa2HI4XMm32gm9doWgRSalalwslK8TruSQA8HSmNjWo0Vsgw33gSiKBAIBAoEAg4ODzM1nSaVmqFamiK4nEEQVWZIRBBF/4F68nkNb+VcWixfFGqZeS1AqzW4JBaZpEovFgIbbSrxFgPGBLh9jm6HYn39jGd24xmEgmYiqilDVMRdUzB4npl3iuUsxfuHuHirpOqWESCbvQrV10uoQcemLdAbTePwC6sFPcvL8Jer1OgtLcxz0H9zx8bwhLXsbwlV2qdGp0Ha9YHNxLUe+oiIIcO9AsLEcEFJk9rvtjBXKnMyW2KOLCDOZxnFscaB0bZ9QyxEHst+KlqlhTwxTdJ2mUJ3D3/UQUvv2/RAEAfu+fVja2sg/8wxavEj51DKiO4t1YAAtC1q2Rk0RsbS7UDpciA4LlcoKqfTLAFilDtSLKlquUfpl7XZjvUEpoCAK2EfDmGNxtHSV6nQGQRavcxZdIV5TcWfr7FmvU7M01i0qEi7LAIVMHa2Wpzg/R3VZQ0lVcNsEWkN+9GId0WkhGAzicDgolU6RSW8QjrQQDr3rhq8DXu9hYvHzQJlk8nt0dHziLbs0r0XdKFGZTGFeE9Bem8kgea1ILgu1hRz15cJWZppokzGqGnquhlHXERUJ0zDIP/MsRrGIIEu4H3v8upLOE9nNznleB0qpzFKqTLZQ2uq65vF4rnNumqbJRDTPa3NJugNO3r2nZcv5dDtEUaS7u5upqSkSiQTFYvE6gV0QhK3cpy6uvh7FCmUmFr4NXMLjrPDV+a/wUNdDBLSGWG+xeH8g4XCtuEasHEMQBO66772kXr9IrVxiefw8fQeP3H4FQNgR5vG+x/nW3LcoqsUt8cou77ysUpZEHtsd5Auvr5IDFvCxWBTY89YiF2+K0teLdXAAdW0NORzeJlSJTue2ZfWm26pJkyZNfiypjE+w/nu/R20zjxLYdFn9KqFP/+umy6pJkybbaApXPwEoSghKc0iyl1DwATyePTft0uf1HqJQmEDTihRLM7hdu+94e6apk82eplyep15PYZqND/51awGjriOXrcg2OwgCiiVIMPgAdvv2kpR72u9hdWqVfD3PeHKcg5GDhMNhwuEwuq6TzWZJJBIkk0lUVaVeb7Snb2tru6OMtCv5Vl6rF4+y89mRsJl99Xw6z1SpyjsDBrZrwqMFSYCQFfKgRktY+3zXuW9kWaar82FEMcvqyiqGkaVQ8NHSMkwk/O7GeXsTTscg9VqCcnkO03wYQRDJ5XJUq40crJuVCV7BIoncMxDk2YnYNtFKEgU8Dgueg3b02SKKCYoqMW0xKSSrPPWNWdoVC5LecOboljrD73oQr+84QnIavJ1YnAGGhoaYmJggm82ysbFBW1vbjo+paZok6hoBi9wIvQ8NgayAVof4JHTfvW35mqbzxkKjI97uVjdht5VEdfOf5TT3Jk5yqeKlKth4YVriHboV0e3EPnJ90Lnw/2fvv6Msu8szX/yz09kn51M5dlfnHNQKoAhISAYsMtiecQDPYOwJy57ruQ5jGwc8s8bjuXc84+HOzwxjDBgsEAgEAkUkFLvVOafqyuHknHb6/bGrTnepq7qrWq28P2ud1dX77Hz2Cd9nP+/zCgLutVEqe6dxme2IqSBme5Fi8TCRyMLtziPH4wTvu5/8g/swqinMSh598mU8u+7EyDUwmyaNkSK14RR1dZRaYBjCdWhKeGbXoWu2sOReE8bVH1zSwSNIAt5tCaoHkuiFBvWTGQRZQGlfOMA2qxoczdCfrhJSXQguUHoDuFeFQRJw5yIkz/4EPdOgkDoJZgc+PYgyo1GemUbyK3i2JmhvVxkePk+lAv2eTahq2+L7JUgEA7fRaD6GrpfJZp8hkXjflV7iK2KZFo2zORpjJQBEVcKzMUb9dBa9olF+bgLRo7QELVGVUIfCKAkvpWcmsEwLPV3D1eWn+uKLaBO2o8x/++0o7QuPYareZKxun//7uqM8NV1HN0ye3XcYn6AjyzIbN25cIALXmgaPn5zl3Fyg/MnpIrIo8J4Ny+922NHRwejoKPV6nbGxMTZu3Lis5V48PUOnuJb2cCeKZz+aofHU6I8ZYoSBYB+x4LYlGzwshwNJO9w77omztnszo2uaTJ09xfTZU3iDIdpXDS1rPd3+bu4euJsfj/yYfCPPD4d/yIdWf2jRoPmlSJ07ydq4m5OmQaVjNY+emEGRBNa0L9+9dTUEQSB4773XbX0ODg4ODq8fZr1O+n/8DzL/+ytwyc0F19Bquv7yL/FsWXl3XQcHh7c/jnD1FiAY3IaitFEu+wgE2hDFpV1ULlcMr3eAanWEQuEAft+6FZfEFAoHyeVeXDBNECTcvk6Ehhe31kGoax0uVxxRXHxAE/fEWRtdy+nsafbP7md9dD1u2RZNJEkiFosRi8UwTZNCoUAqlcIwjBVlW8HFfKuVuK3m2ej38EyuhGZZnKjU2BlcKCQI7W4oNjEbBvVTmUU7w3k8/Xg9nfgDeUrFEpVKNx3tH0OWFz8vPt8QudwLGEaden0Sj6e35bby+XzLKpHc2BlEEgU03SLkUQh5FQKq3HKOlNc2OPXCFKZh0ZOpMZmpMo5AqCdILBHFCpZw+xQUn4Xg8sEljqREIkEsFiOTyXD+/Hmi0SiqqnIhXSFVarCjL4yyRHe4o+UaP0kXSLgUPt4RwScpEF9ndzacPXaZcLV/NEetaSCJAjevukTk0xtw9AF81Sy7rQg/LfVxTJPZVszQK80gHPCCJwLusP1vZAD8CaSgC6XTbzvksquoRo/MOQ93Lnqdmk2D2vE8St8gYjCIPvkSVsNAaTfwbOiiMVmkPHyWWnECyzKRkhEkjwevdzWS6UMQwL0xhqvr6q+ZIIt4dySo7J/FKGnUjqbtDnlxj921c7RA/UIBK2uXznkibnzbO5ACF/fbFQvSEXo/o6NfZ1Y5h1KboD/0QQQkLM3EKGtU9k8jdhxHEAUs00OlcuXyWVmO4PHsoVB4iVLpBD7fEF7vyt6DAGbDoHY0hZ6zxSQ5rOLZmkBUJVyNEPXHRzHrOqJXQen0ofYHUQdDCLJ9LUlRN3q6hp6qYdVmqe63hRj3pk24FxGHXirYbquoIrMl5OV8zMO54VEmmhnWdQRYt27dggy9sUyVnxyfodyw3ZlBj0KxpnF0soDfLXPTqsvLCRdDFEV6e3s5e/YsyWSSgYGBKwrt9Xqdn7x4hBPnxwCB227cRVe4m8O1w+TyL5LV0lT0GoH2T3CtPXhnKjNMlOzPwZ1tOxEEgb6t26kU8hSSMwwf2Ifq8xNuv3Im2TyDoUHu6r2LJ8aeIFlN8uORH3Pf4H3I4tV/LjSqFWbOnUGWBO669QZerAdJl5s8cmwGWRIZjPuuug4HBwcHh7cv1f37mf6DP6Q514wJAFkm/i9+ndjnPofoWv6NEgcHh3cW136L903GD37wA7Zt24bb7Wbt2rV85StfueoyIyMjCIJw2eOmmxZ3aLxRyLIPr3dw2QJUKGS3QW82UtTrEyvalqYVyOVfAsDj6SPRdg89Pb/IwMDn6e75FGFuwVNZhSp3LClazbOnYw+SINEwGi1HwCsRRZFIJMLatWvZsGEDrhV8YdX0GulqGlhevtUr8Uoia7y2mHa0VFvQ7h1A8Ei45nJ5mlMVmqPFy9YhCAJtbffR030bgnArhj5EMplecpsuVxSXyx4kVyrnMAyjlW/V3t6+rNdYEATWdwTZ0hOiL+Yl5FEWlDv5IyqD2+2OYl0BNy5ZwnSLTAVFdt41hD9kD+hzudyi6167di2SJKFpGufOneNCusJDhyZ57lyaR47NXHae5jlWtkWXVFPjm9NZyrphlwsClFN2ztQclYbOwbE8AFt7QoS8cw5Cy4IzP4ZqFgSRLfUwXk3GEmBfO0hK3X4ucx4m98O5x+Hl/w2zdpinOhS2c6TkToSpIIZxMaD8UizDpHbIzmASRIHgezYix+de65ERGkKSjOcRSqtfwhjMQNDE4+3HLa2nWjAwsfBsb1uWaNU6t4qEd0c7olfGsqB2OEVjtEj5xSnq5wvUdJOmLDA54Cd0w0LRah5ZDmAYu7Fk0EJZzMGDeN8Vx7s9gSAJ1AoTmCdEgkoU2Mb0dPKqpVKh0C5U1Xb6pdJPYBj1K87/SvR8g8pL0y3RytUXwL0php6tUz2aon4yg+i/6BB1dftxr4m0RCsAJW5fk82JLMXHnrCPtb0N/223Xra9VFPjXNXex5vCfluoCUjohVnyNY1oPEFbm+3QMkyLn51N8eDBCcoNHVkUuGNdgl+9ZYChua5+L5zPcGyysOzj7ezsxOVyYVlWK5fvlcx3SP3Wj56aE60g6JaRyrO4JTc/N/B+1nlVBAHyVpDvnX+YQ8lDS763rsTB5EEAwmqYVWG7W6koSqy9+d24/UEsy+T0Cz+jWlz+Ma6LruOWrlsAmChN8PjY45iWedXlxo4fwTQNZJfK4KbNfHhnD2GvgmFaPHx4ivFs9ZqO0cHBwcHhrY1ZqTDz53/B6C/9swWilXvjRga//QCJf/2vHdHKwcHhirwthKtnn32WD3/4w9x888088sgjfPKTn+Qzn/kM3/72t5e1/Be/+EVeeOGF1uPLX/7ya7zHry1udw8u1RYuCoXFBaPFsCyLTOanWKaOJLlpa3s/Af96XK44giAiRdxz84GRb1x1fQFXgK0JO1TxaOooVa16DUezNBOlCSzskOUe/8qFK4CtAXvAnGxqzDS1y553rQ6htNmOivrZPNps5bJ5FCVEZ+d7SSTsTowTExNXHJx5fasBqFTPtfK+gNZg+3oQ6/IzuC1BvMvPLXf2Yg76SGJyfLrUCn9fTLgCcLvdrFplD4DHJqf5wd7TrWZd55Nlnj13uTBXMQym6hfPX1bT+eZMlqK/B9S5EqHZY63n917I0tRNXLLInsFoa7qcOoqQsrv26bHbsFw3c1NoNVLXICOrdjG25udh1e3QuQ3CfaB4wDLh5Pdh5phdfjYYRBRV3MUeqMoUigexLhl0W5ZF7XimlU/l3hhDjrpxDQxgmk0yRx9hevrbNJsZEMHXP0D3ez9I6N1bGGskmalmOCtNUZGv/h54JaIq4dvZjuiWsEyL+pkcZlVHEKDU7ubM5hDFhJu4ungpsGEYpFINYDeBQBDDKJBMPYwUc+HarFJvTiA0JdpzNyLrbWiaxszMzBX3SRBEEon3IQgihl4hm31mWcdiWRbN8RLV/bMYFQ2zqiF6ZYx0jfJzU9SOpdFmqlgWKB0+PJvjKB0+tMkyem6hOCYnPGAY1E+fxayC6HETvPdehEWCxeezrUKyxHqfG9M00bITCJYFoowQsstbs5Um39w3xssjOSwL4n4Xn76xjx19dke/92/uoCtsf6Y9cTLJSPry9/ZiSJJEX18flmUyM/Myo6P/SLF0rHVOkskkL720l8f3HmUqVwFRoru7m/WdAarVCplMhkr1LB2eKOujG5G9azAtk+ennufh4YdX9DmZrqW5ULgAwM72nQu6qioulQ233oHsUjG0Jqee/SlaY/mi5Pa27exst2+CDOeH+fGFH6MZl39GzlPJ50iN2PvSs2ETssuFX5X5yM4eAm6Zul7nr57/R/6fl/8/DiUPLUsIc3BwcHB461N5/nmGP/Tz5L72tVb3V8HlIvHbv83AP30L9/qVx5o4ODi883hbCFd/9md/xo033siXvvQl7rzzTv7sz/6MT33qU/zRH/3RspZfs2YNN910U+uxadOVW3+/2REEoeW6qlZH7AH4MqhWz1OtjgAQjd6KJC0M5RVdEtKcc+KVA8+l2NG2A5fkwrAMDiUPLe8Alsl8vlWHt2NFGSyX0ud2EZ4bHB8t1S57XhAEPJtiSEF7/bXjGYzi4oJFT48tnlUqlSVFIQCfbw0Ahl5levo4AKFQaEFp0/Ug0RdgzQ3tbN2YYE2HLR49ey6Nx287i/L5PKa5+OCxq6sLrz/A6dkS1eQEqkTLofLySI6jEwvdG8PVBhYWkiBwXyKMJAjkNJ1vzubIxefeT7MnwLLIV5scmVt+V38Er2tOnChNo47b4eeGbw21TA+WBRv9bjp7wuAO8LTYhtV3M6y/D3b8Iuz5dfDF7R9Cpx6G6SO4eoOIHhlV7UIcD6I3i1QqZ1v72jiXR5u1xQH36hByu0y9PkUtWqBYPEwjNYJVquNyxens/BhtiXuQZR/nJi9QCDcpdVtUhAaHDh1iZGRkyXO4FKJHxruzHdFll/xKIRe+PR3M9vsxZJGYIiMt4bxLpVI0m01EsYO+vg8AUK9PkUo/Stb4GcbqDIIs43etorPgR2xeXUgFu8Q4ErkZgELqKPnzR2lOlGhOlu3HVBltpmI/Zis0ZyuUX5ii9OwkjdEi2lQZQRYxqzpG1RZiBVFAjqi410Xw39yF/8ZOJJ9iu82OpjGbF51ggiqhTV3AqtWwDDeBe+5BClzMRLJMCy1ZJTlZ5FTRfu1uCPmRBIHx8XFqlTIhr4Ic7WY4U+fIRJ5vvDRKcu69ur0vzKf39BH3Xwx6VSSRD23rJupzYVoWPzw6zWzx6p9rlmURCtWRpGcxrf3MJk+QTj3BzMw+Dh06xNFjxzgyliJVaiL5Y2zdsYtfvPsmEnG7HHZycoJC3nZJtYW38PENv8zqsC1mj5fGeeDMA8xUriw2zjPvtvIrftaE11z2vMcfYP0ttyGIIvVKmVPPP4O5grDyGztuZHN8MwAjxRG+e+67lJvlRecdO3YYsFC9PjpWr21ND3kU7tzo4ULzcbKNKY5Mpnly9Gc8ePZBMrXlfTc5ODg4OLz1MIpFpv7wDxn7tc+gzXX7BfDs2MHg975L/F/8+qI3qBwcHBwW4y0vXDUaDZ566ik+/vGPL5j+qU99ipMnTzJyaQ31Owi/bw2ybAsNhcLBq85vmg0ymacBcHu68fs3LDrfvOtqucKVW3a3Bj7HMseum+vKsqxWrsu1lAnOIwgCW+ZcVyfLdZqLiBCCLOLdZuf1WIZF9VAKs65fNl8oFCIwN9geHx9fcpsuJYaihDFMg2zOFq6uFsr+arl9bQKXLNLQTE5k7IHrfGfHxRAEgQkzTK1pYhlNtoeb3Lelk56Ifa6ePJVkLHPxtTxXtQWCfreLTX4PP98WRhYECrrBt8R+MijQKGHlRnjuXAbTsvC6JHb22d0a0eoIJx7CqinU0n1UcjswNRNBFvBtbePOuTK+mYbGqcol157LB9t/AfwJW7w6/SOE5BHcayNIkhel3gZ5N/nCfizLojoyRfnsCPX6BBXvSWbl7zIy8iWmph6gqJzGkudCy8ur6O7+NB5PNwCzs7Otks6enh68Xi+WZXHhwgUOHz7cCtdfLpJPwXdTJ75d7fhu6EAKqiSbc84719I/4ibnfvhFo1HaErsJR/YAUCmfpV6bhGCT0J4NiJJCyBMgOCVQL1TJZrNX3adQaCeKEUObLjN74RFKJ8eoncjYj+MZqkfT9uNImtJT49SOpjGKDQRFxNXjR1Ql5LCKOhjCt7ONwB09+HZ3oPYFEUQBQRbxbIkjSIKdiXUs3eosWDt0CCNrl9Qp3WtQ5kRgy7IFq/ILU1QPp3j25CyN0SLyWJmh0QrZMzMMnz4PFqzu60HyBLmQrvDEySSaYeFTJe7f0c2d69qQF8lm87gk7t/ejU+VaOomDx2apFBd2lVUr08zPf0d0ukfEZjrBVEpa6TSKU6c/AaZ7HFOz5Qo6C5cHUPcsG0T923rRRIFVq9ejSAIaNoM6fSwfc6D21Ellbv77+aO3juQBImKVuF7577HsfSxKwqOhUaBc7lzgH2DQFoi+zCYaGP1rhsBKKVTnH/5pWWX6wmCwK3dt3Jz180ICKRrab5z9jskqxfLfk3DYPTIIXLT9rXZu2kronRxX87nz/PE5A8YbJNQJAmv0M5ssU6ymuSBMw+wb2ZfqzOsg4ODg8Pbg9KTTzL8gQ9S+PZ3WtMEj4f23/99+r/2D6hzzn4HBweH5fKWF67Onz+Ppmmsf4XNdMMGW3iZb41+JX7jN34DSZJoa2vj13/915c1yHuzIwgSweA2AMrlk+j6lctgcrmX0PUygiASj925ZNaSHLEdC2axiaUvz2myLbENRVTQTZ0j6SMrOIqlyTfylDX7zv+1BLNfyma/BxGBpmUuFEUuQXTLeLe3tQbd1UOpy45fEAR6e+19yWazVCqLn3NBEPD5hqhWqljm5FxO1vUrEwR7wN+4ULDDwIsNAm6Fm1fb2VrnshpVw359l3KGvXQhy1jRRA4m6I95aRbTVMolPriti4hXwbQsHj46RabcoGmajNRs4WrIZwubq71uPtIeQREESpKHb7nWMWPK7H3pZ5yZtcWyG1fFcMkilmmi7X2E6nmVRrIPzbMNS5TtrnRbEkg+hX6PyqDHvvaeyZXQL+moiMsH234B/G1zzqsfIWunkCNu3O4uxIkAzVqKkcN/R3Lfz6iUz1JThqm3n0bXL+aWyS4f3tUbCQa34Uq7Wl3e6vU6Z+ZaNUciEYaGhti1a1er42I+n+fll18mlUqt6DUSVQk56m6915INWzBJuBYvEywWixSL9v52d9uCWiR8E/7Axc8+r28Vwe71eLcnUD1uPJJKcFJgcnhpIXUeq2nhm9oOloQp1skqj2G6aoguEUEREWTR7qxpWpjFJogCSpcf342d+HZ3ELijF98NHbiHwsgxD8IiQpEUcOFeZ5eG6pk6zZECzYlJKs8/jyA3kCIR5EQnZrGJXmhQfXmW6uEUZlWnhMVpwRZdtzdF9Okyx148TGO8CJN1dkpttOc1PHUDLItVCR+/dFP/VQPBQ16F+7d345JFKg2D7x6coNZc6EpqNrPMzj7M1NQ/Ua/bAk0ivhaXcgeWdSeVsohpWqSre9H9IkrbIDev7+aOdYnW6+vz+ejs7EQURykUC4hiGLfbFugEQWBjbCMfXftRgq4gpmXyzMQzPDn2JJq5uJB2MHkQCwuP7GF9bOH3n2VZ1GoXc/vaBlbRvd52PqbGLjB58vgVz8mlCILAjrYd3DNwD7Iot4S18/nzFFNJDj36IyZP2+vzR+Mk+gZa+7B3ei8/GfkJuqmT8AW5f+h+hry3E+cmfIoP0zLZN7OPb5/59rJdZg7XzqlTp3jf+96Hz+ejo6OD3/3d32119L0SmUyGz33uc/T19eHz+di8eTNf+tKXFszz05/+dNHM0E996lOv1eE4ODi8CdGzWSZ/598x8fnfRE9evMnhvfkmVn3/IaL//J8hSEs3mXJwcHBYire8P3N+4D2f2zNPJGI7Oa4kQqmqym/8xm9wzz33EA6Heemll/iLv/gLXn75Zfbu3YuiLD6AhIWDSIDp6WnAzqC5WhjytWAYBqZprmjdXt9GstkXMUyNfP4QkcjiofONRpJ8/gAWFuHgTiQpvPR2ggqWZWJZ0MxUkeNXL29zCS7WR9ZzOHWYI8kjbIluaXUYvFZGC6OYpokqqcTU2Ks65x4BBt0K56oNDhUqbPKqi59vn4S6MULtSAa9WKdyJIl7SxzhkmD0aDSKy+Wi0WgwNjbG2rVrF9kiuN2DlMs/wKJOMGgiiuJ1u24s06JxOoc2ZQt7er6Oe0ucLZ0Bjk/mSZUaDBctNgRNstlsS2ybZzhV5vlztgizfmiQWG2cer3OyZMn6enp4Y4BLw+fyFBrCHz3wAS7NifQDBNBgEFVbh1Hj0vmw4kQDybzJKU4/28hzs2lYYT2nazuiLAh4aM+VqB55BjmVAUsFT3QiRIOo/aHkDt8CJLQWt+tIR8XqnUKTZ2X8yVuCF0iSEgqbPkkwtFvQWkGTj+C0nU3WjaOpIcwRxuQc4MFpltDWmvh9q5BccVwuRK4lBiS5KO56TSlmSdojE+g1WoIisLJkyfRNA1JklizZg2maSIIAmvWrCEUCnHmzBmazSZHjx6lq6uLVatWIa3wR1nNMClqtuskJi1+LYyPj2NZFh6Ph1Ao1JonGrkT0zDQ9AKR8G32/oVduLfECZTKNJIp9GN5cpER5OQ0iAKiz4elquj1OpqqYnp91I9kEBs+IuIdlLv2gWJRlF+go+MjSLgx63WsWo366RyCv4koge/2VUg++zPAxFrQ1nopxHY3ctaDNl2hvH8YfeIFkAzEsB+lbzVmzaD44hSXaudSxM3xNhmxqeDRTLYrXqaHR6jqtjgzGOpCLmps0iE9UyO+s51Nm+1mB8t5X8V8Cu/f1MYPDk+TrTT43sEJPryjC8Gqks/vpVw+joUtArmUKOHIzXg9q9D1cS5cuIBh3UxGewnDrRPlAGsGVrF7IHJZGWlHR5CR0RSmKVEoRC97PuKK8OHVH+aJ8ScYK45xMnOSZDXJPf33EFIv9h0sN8ucTJ/EtEy2xLYgWhevGcuyOHnyJKlUikQiwfr16xFFke4Nm6kWC2Qmxhk5egiXz0esp++q52ae/kA/Hxr8EI+MPEK5VuLhR/+ernKATl8HgiDSMbSW3k1bMC2LZrPGU+NPMVywnWUJb4L397+fWkPh3NQYkpHgXfGNjNePcDxznHQ1zXfOfIct8S3sad+DIi393btSruW7cyXrfquQy+W46667WLNmDQ8++CCTk5P89m//NtVqlf/+3//7FZf9+Mc/zqlTp/jiF79IX18fP/rRj1o3/H791399wbxf+cpXFtxIjMfjr1ydg4PD2xDLsij+6EfM/vlfYFxyU1T0+2n7979L+GMfW3GXcwcHB4dLeVMKV4VCoSUEXYlVr9Jm2tnZyd/+7d+2/n/77bezadMmPvCBD/Dd736XT3ziE0su+9d//dd84QtfuGx6JpNBVdVFlnh1mKZJoWDnAoni8o1yhtlDrXqceu1FNK0fQVj4kluWSS7/MLpWQZICaN7BqzpHTKuBVTWojswiWstrb94j9LC3tpeqVeXZ88+yLbpt2cewGCemT1CtVon74mTSrz4npVvTOVytcb4Kp2gSEYUlz7cVtzBHq1CpUtQqiP0Lz4HX6yWbzTI8PIzf719UAK3XmxSLGoLQRBCmV+zWWQrLtLDOlbEy9l10QbSzyysvlBFW+9mekHhotopZh+FankajTnt7e0toydd0HjqaomlYxHwKO9pkqpU4p0+fplKptMrlYg2Dc5k6ZVFhfyqCkgjSpcpMNgqEQqHWOXNZFu2ZEs9nBNoN+Kmnh/e4Ztihe8k8cQ7KRZS07WayIj4Kg+2YfRJ1qQbZyzPHeo0mJ+saT9aqtNd9eMRX/AjqfA+e0veRKrNw9ns0pTsRhE7EjIoguBDdHqStbYhu+z2qNe1HhRpQw/J6qVdrYFloR46QdruZmLBLUgcHBymVSgvKKwVBYGBggOHhYcrlMmfPnmViYoLVq1cvyCyzLAtd19E0rfWvpmkIgkAsFmPGhErVPl6hKJAqLzwuTdNaeVrRaJR0+pUB+TtRZMjl7ONosdaPPj2NmMwy++UzqIECCBcFjkajTlN1Q8mAuoiguhF7wwjjAtXCEep1jbL2NG5pFaLgAktEbHQBApZcpJTZh+t970MMLL+7IoAVtTBOzdJ87nEwNYS+EK5dN9A8X8WaqIIsIrS7ETwShR4351wZXkpPo1sCN/j8pIUQw9o0VkIiEYyhhkNUSzoJTSTudiGkSqRS4op+JPuAne0KT5/Pc65S4aHaPjbEztpvIECUfPi8O1CUNVQrItVKGrfbTTjRyTOjVWr6nbS5nmIwYuFtPML0tIAsRxdso1h8CdXlol43GB83CQRG8Xq9l+3LDb4bUJsqR7JHGK+O89XcV3lX+7vo9dki8770PkqVEi7RRZvVtuDzY3p6unXNVioVstksQ0NDSJJEaGA16dkZaoU8h3/6BKtvvAVvOHrZ9q/ETn09z+5/iHq1yAhpylaDd99yP75InGwuT0kr8dT0U+SbeQAG/YPcHLyZWqGGZVVxWU1yVZ2D51PcumoD0UiUF5IvUNSKvFh5kWOTx7i57WY6vZ0r2q+l0AyNctEW8Vfy3bkcMpm3TkbXl770JYrFIt/97neJRudcj7rO5z//eX7/93+frq6uRZebmZnhqaee4itf+Qq/8iu/AsBdd93Fvn37+OY3v3mZcLV582Z27979mh6Lg4PDmwttNsnMn/4p5SeeWDDdf8cddPzJH6N0dLxBe+bg4PB24k0pXD3wwAOX/RhajJMnT7acVfMiwzzzTqz5H2jL5b777sPn87F///4rCle//du/zWc/+9nW/6enp9mzZw+xWIxEIrGibS6H+Tu78Xh8RW6OcOR2JidGsTBxe9IEA1sWPF8sHsHlquByeWlv+zm8yxgs1HtltIkSkqXiXcGx3mDdwJHUEca0MW6N3ooqXZvAZ5gGpdkSXq+XDV0bSMRf/fmOWRYHrAwl3WBS9bBmzs2z2Pm24hYNJYc2XYYCuJselO6LA/dwOEyhULC7nWnaogOCsbExXOoAgjBMJFInHo+/6jtRlmFSO5rBqMvgk1G6/Lj6A9QOpTFrGkyZDK2JcPNaF4dGFTJTGbolFy6Xi2g0SkMz+NG5CRS3h4Ai8ekbegl6FKANr9fL5OQk9XodwzDw+UByqZxNlpm1TFyFCuu9MF0xKJVKbNu2jaYJj51IMpM12ayEKLiDtMs6wpSIUTcJiBJCZRQ50sTVLmDd/H70fPmK1/i9EYOpqQy6aXFe8XBnNHD5TInPIBz9JyhO4db3URFuwwqvBlHEuzOBFLrydVdYNYg2M4OQSpHz+/H5fMTjcdavX7/ka9TV1cXo6ChjY3ZO0+joKKFQCE3TaDabaJq2ZK5QPp8nl+jE4/YScin0tl/uUBgbG8Pj8SCKIhs2bEBeZpip1pykVj1HMy9iCQKq1I+rU8dqVDDmhDI3CkZNBwxERUM2ylASUY1+Ks2zgIZpjuL1bwAtimW6EGQR0WOCbiA98wyBD34AORZb1j6BXUqQTx7GEkBQvfg2vAcx5cOgSVPWyLoEpobCjARFJssTNMpTWJioosk66Rgz09N4vH5crl42b78Bt9t+/xhz5YUAbsvf6gi6XBIJULwBjgw/ja4fZrrsIuDxgWsbpryBTFNCq1noholuWmiGyUxRwXT58Kh+bl7/z/HoP8Ew62j6s8TjH0NRbKeUaTapVCaJRCIUix3oeoBCoUBfX9+i19V7297LmuIanhx/krpe56XCS+hunc2xzUzOTOL1etndvpvu9u7WMrlcjlwuh8/nw+PxUKvVMAyDyclJtmzZgsvlInL3fRx78jEatSqpU8fZfNfduH1XFx61ep2RIwcojY2yJbKBC/IIhQSUe4IckU5zT2SAbD3L08mnacpNfIqPGztuZHti+4Lj27Va5oXhDKmGRDQWJyEmWN+znv2z+zmUsrsNPpd/js3yZm7pvGXJ7K7lkK1neezCY6xX17M6vnrFTsir0WisvLPoG8UjjzzCe9/73gW/iT7xiU/wuc99jkcffbQlSr0STbNLVUOh0ILpoVCIcnnxoH4HB4d3BpZlUXjwQWb/43/CvOSmnhQO0/4Hf0DwAz/nuKwcHByuG29K4eqzn/3sAlHoSjQaDRRF4dSpU9xzzz2t6fPZVq/MvrpeBINBgsHgZdMlSbruP47nEUVxxeuXpAj+wFoq5TOUS4cJh7a1vkR0vUKh8BKiIOLzDREIrF7WOl0xD/pkBausIVp26PJy2Nm+kxPZE2iWxonsCXZ3XNtd2dnaLIZlIIoiA+GB63K+JWBr0Mvz+TKnq01uCweueL6lTXGqDRM9V6d5Jo/sV5GjdvmjJEl0dXUxOTnJ9PQ0/f39C9ZhWRapVAqBLvy+JKZZxjCyqOq151xZmkn1cAYz30AQRNSBIOpQGEEQkG7spHowiVFs0jxXYE+vn2Gvl4ziZiRTZV2hQDwe57FTMxRqOpIo8cFt3UT8F8s5e3p66OnpscOyNY16vU6tVqN2boZ9uSp100CuNjA9FuVymedePsQ5LUZFMxEEkRs6Amz1DXLwuQmEeoMTlRq7fReIdI8iui3Y+c8xVB+iWL3iNR6SJPaE/byQL3O4XGerTyWiyAtdbdJcYPuRbyEWJvFKL9PQb0DdswMlevXSVvfgIPrMLNMHDmC9+92oqsr69euvKBZJksTQ0DePeVEAANABSURBVBCxWIyTJ0/SaDTI5/ML5rn0x5skSa2SUtM0OT2bZFJQiMYjWFZswbZM02RmZgZBEOjs7FyWo9Os1ag89xz1k6fwSwbT5FBCG9D7hwiusjOpDF0jeXYE95kyVl8VQTZQBzyYtQpYFqLHg5ddZGv7EFwSTa+P4OzNiKIb10AI0VWg9JOfYFWrlB56iNAHPoDSeXXh28jnKf/gYURTw9UdQum/BcEVYtowOe8XONejUHKLCI0C9fw4hlFDFUxWeUy2+yQa6QJNrQE0iEYVkslvoSghvN5BvN5B5KiKkdPQx8uonf4V/2jeEB+nkjlNsiQwVUlQKL8LCxVYepCuKjIf3NpFX8xLvX4/0zMPYpk1kqmH6Or8OLLsp1w+jYWGKMmsWnUXZ8+Okc/nKRQKxJYQ/VZFVhHzxvjJyE9I19IcTB3kVO4UJiYu2cW29m2t90q9XufUqVNzGXo+du7cyczMDGfPnqVSqXD48GG2bduGxx9g4213cuypxzC0Jkce+xGqx4vi8eBye1E9HhSP/a/L48Xl8VLKpLhwaD96s4EoCgSjHXzs/R/icPUkh5KHmK3O8p1z36GqV7EsC7fi5n3976M/2H/5+e0K8eKFHA3dYiJfZ1XCjyRJ3NJzC2uia3hq/CnStTQnsicoaSXuHrj7mm5yjBZHeWz0MepanedLz7Olf8s1d59ditfqu/614NSpU/zar/3agmnhcJjOzs4rZoH29vZy991388UvfpF169bR29vLI488wqOPPsrXv/71y+a/7777yGQydHZ28ulPf5o//dM/ve4dcx0cHN54mhOTzPzRH1F5/vkF0wP3vp+OP/zDFd3McnBwcFgOb0rhaiWoqsqdd97Jt7/9bf7Nv/k3renf+ta32LBhAwMDAyta38MPP0ylUuGGG264znv6xhEK7aBSPoOm5alWh/H5bIEqm/0ZptlAFBVisduWvb75zoKWBXq+gbKMnCsAv8vPxthGjqWPcTh1mK2Jrdc0kBgv2UHTQVdwQe7Lq2VLwMsL+Qp10+RMtc6VZCRBFPBui1PZO4NR1akeSeHb1Y4UsI+np6eHyclJms0mqVSKjkts0uVyeS64PUIw2AaYVCrnrlm4MpsG1QNJjJJdHuheE0YdCFHUDSbrTYa8bny72qkeSaFn6pjjZe7yuviO6qNYznBiZIqkEGY4ZYfJ37Y2Tm90caeKIAi4XLZLKxgM0iO5aT87i5ZMkys0mChXaTSaZA0XoreIJ9HPnevb2dwdpH5cYHf9LMeQueCfQnXPcgc6DN0DgY5l5SMB7An5OFKqka/X+T8vH+ZGq0FHRwf9/f243XNim6zC1k/C0QdQGEfhaagA8Vuuun7XwACFH/+EZqGAWCiw7tZbcbmWd51GIhF2797NxMQEuq7jcrlQFKV1zuYf8wPe+Sy0xyfTmJZJMzXLi/kkvb29dHd3I8symUym1bVwPpR9KSzLonHyJOXnnsOq224Qtb0Nz+5dZHIaQqpKMN9AmywjdnhgykL0RRAjCfx7OhC9C8tafYCrso5k8seYMzLl6jkCwQ2o/UFEdxTx53+ewsMPY9UbFB56iMA996AODi65f0axSP5738OsVBAUhehHP8i5vMyPp3PU/QpS1IOettAKGVy5HOu60gy4q6yNriUWvYVyuc6B8z4EZonFdHy+JqZRR9MKFAqHKBQOgU/Ck9uEt7gKI1NfVg7fPKXScbLZnzEY9yEonZwrvgu/pKBIIrIkoIgiiiwgiyKKZP/rkkU2dgWJ+21xxe3upL3tA8zOfh9dKzIz8z06Oz9KsXjIfl4dpKOjn9nZPMVikfPnzxOJRJYsYwupIT6y5iM8M/EMp7KnqOm2U25TbBMe2T42wzA4duwYmqYhyzKbNm1ClmV6enpaN3ZqtRoHDhxg27Zt+MMR1tx4C6ef/xmWaVKvlKlXru6eESWZvs3b6BxaiyCK3BK+hbAa5umJp6loldb+3jd4HxF3ZNF1hL0uOkNupgt1Ts+UWJW46PZKeBN8dM1HeX7qeY6mjzJeGufBsw9y3+B9y/6styyLw6nDvDD1AhYWbtnN7sju65qb9VYkl8tdlgUK9mfW1RrSPPjgg3zyk59k0yY74F+SJP7mb/6Gj370o615QqEQv/u7v8ttt92Gx+PhySef5K/+6q84efIkDz/88BXX/3pmhr6WmWcOl+Oc79ef1/qcW6ZJ4ZvfIvXXf41VuxhNIMXjtP2HPyTw3ve29uOdgnOdv7445/v1582SF/qWF64A/sN/+A/ccccdfP7zn+cTn/gETz31FN/4xjf41re+tWA+WZb55V/+Zb785S8D8Du/8zuIoshNN91EOBxm7969/OVf/iW7d+/m/vvvfwOO5LXBrXbgdndTr09SKBzE51tNrTZGuXwagEjkZmR5kZKrJRBdEpJfwShrGLn6soUrsNu2n8icoGE0OJ45zo62HSs+nomSnd/yarsJvpKgLDHocTFca3CsXOOuq9xMFxQJz/Y2KvtmsDSTyr4Z3GsiKD1+vF4vsViMTCbD+Pg47e3tLefH7OxcKZPbTTy+hWLxMJXqOSKRm1fsDjHrOtX9sxhVHUEA97oort4AVcPk61MZyoZBUJa4LRJg3bYE9RNZtJkK8arBFtPHISvDqfEUsp5EkGQ2dAbZ3hte1rZ1Xefk6Bh9mSm0YgWzaTLdBLOhI7gUVK3MzQmNzd1BtKkKzekGXl+YiJLmkNvFUYLckkjg6lrZNeASRW4J+/iH41PUDYtVWJhTU8zMzCwUsGQVtnwCjj4A+TEYfhoMDQZvgyuc54rLRa5RRwDadGPF4cIul2t5+XuWhepyMbh6iCAejEKeSDmHpmkMDw8zPj5OX19fK0cnHA7j9y9d0qVnMpR/+lO0KXvQJygy3j178GzbhqteZ3rvXqplnVw2S/VQDTOqUM9XcPlFghvaLhOt5vH71mDFTDJHDmIaNcrqYQJKFyCjdHYS/shHKHz/B5jlMsUf/YjAe96DexGnq1EuU/je9zBLZQRZIviBn4OOTp7UU+iDQWQBvFaBNvEk/WWLhKUhr4FExwdxu7swDGPOGaLg9a5h06bdSJJIvT5NtXaBavUCWjOLpeoU3M/RrM8iXXg3/njP1V8LoFw+TSpt53O43R3cOfhh3iNeWzmz19tPW9u9zCZ/RLOZYXLyG+i6LQx5PJsQBIGhoSEOHDhApVJhenr6iqKkLMrc1XcXHb4Onpl4BlVS2Za4mBN47ty5Vvba+vXr8fku5u61t7ejKArHjh2j2Wxy8OBBtmzZQrSrhx33fpByNkOzVqNZq9Ks12hWL/5rmhd/TITaOli960bcr7gGN8Y2ElJDPD3+NDFPjDt677iqQ2pdR4DpQp3zqTJN3cR1iWtXEiVu7bmVsBrm2clnydVzPHj2Qe4dvJcO35VzUnRT5+nxpzmds7/bou4o9/TdQ6P41inpe7NhWRa/+qu/ytmzZ/nGN75BZ2cnjz32GP/23/5bIpFIq2vgjh072LHj4mf5XXfdRWdnJ7/1W7/F3r172bNnz5LbeD0zQ681L9Th2nDO9+vPa3nOjfFxqv/5r9CPLOwQ7nr/+/H85uepBwLUr1Nm61sJ5zp/fXHO9+vPa3nOV5IX+rYQrt797nfz4IMP8od/+Id8+ctfpq+vj7/7u7/j4x//+IL5Xnn3buPGjfzt3/4t/+t//S+q1Srd3d185jOf4Qtf+MKyM2TeKoRCO6jXJ6nXJ6nVJkmnnwLApSYIBlcelC5F3BhlDT1bX9FyAVeAdZF1nMzaJSab45tRxOXfCa/rdZJVOyC8J7C8AelK2BrwMlxrMFHXyKpwtfQsyafg3Z6gdiSN2TConcqipWt4Nkbp7e0lk8lQLpfJ5/NEInaXsfmA8/b2dnw+lWLxMFozh6ZlcLmWL5IYFY3qgSRm3RatPJvjKB0+LMvisUyB8ty1XtQNHk7lOeh2cdeaIGGXSGOsxPZAhLHkBXJeCbNepquzg/dsaLuqeNZoNJicnOTM2DiFnH2XfGtbgImCRaVURHB56W6L0u2DcjbJ6HGV6KztWJK7O1lrHOFpBqjLPk50v5vt15B/kCgXcNWr1BE47o8h1So0DQNzKg3TWfzBIKFIBFGWMSJ3ITaO8L7aKVaPPm+LV0PvWVS8mhdHjLY2PJNTtOnawhlSpyF9BmQPqIHLH4vl8egNqGahloNadu7vuf8jkNn4SURZIhaL8Z51gxSmJpiZmUHTNM6fP99azVLChqVpVPfto3rwIJhzne8GB/HfdivSXDmzz+cjGo2S07MoY0XI5Kmcr5FRK7jxo56awjV80RGmqiperxev14vH48FV6sInl6k2z9OMzTA9/V06Oz+CJHmQYzHCH/sohYe+j5HLUXrsccxqDe/Oi4NYo1yh8N3vYRSKIIkE77sPV08Ph0tVqoYB6NytnMTfOIkQERDHO3Cr3URcW1DdttPmwoULVKtVBEFYULrp8XTj8XQTi74bTcuRSj2BGR6hMnsarZCmO/1xPPH2K15PlcowydSjYFm4XHE6Ou5HvEbRah6fb4hE/D2kUo+3RCu32oUs258qoVCIRCJBKpViZGSE9vb2q37vbIxtZHV4NYZp4FVsV+TU1BRTU1MA9PX1LZqxGI1G2b59O0eOHEHTNA4fPszGjRtJJBJL5ltZloWuNWlWqwB4Q+ElPxu6/d38woZfWMZZsVnbHuDpMyk0w2I4XWZ9x+Vl91sSWwipIR4dfZSaXuOhcw9xZ9+drI3YnVobukGm3EQ3LDTTpNQo88zU46RrSUzLIuHupc3zLvaPNKBR5s7XIHvyrUQkErksCxRsJ9aVskB/+MMf8sADD3DkyBG2bLEzMu+44w6SySS/8zu/0xKuFuMTn/gEv/Vbv8X+/fuvKFy9npmh15oX6nBtOOf79ee1OOeWrpP7+6+S/x//A+uSbD+5s5P2P/kTfO9+13XZzlsV5zp/fXHO9+vPa3nOV5IX+rZRZz70oQ/xoQ996IrzvDIc+TOf+Qyf+cxnXsvdetPg9a5CUcJoWp7Z2R9gmg0QBOLxuxCElSunckSlOV7CLDWxNBNBWf46drbv5FTOLnk5kTmxwDlwNSbLk1hYCAh0+69cNnUtrPKq+CSJsqlzqq6xbhnLyGE3vps6qZ/MoCVr6OkalRen8a2P4vf7KZfLTExMEIlEyOfzrTdoe3s7brcXSfJgGDUqlfPLEq5Ms0luei/GWVC1XgRRwLM1jpKwB7LHyzXOVGxBcU/Iz2xTY7TWYLLe5GvTWbZE3dykBPGeL9Lj8WOViphqlj1rEuTGZ5AUBcUlI7sUFJeCpCgIkkC1WmV8fJzZ2VlbgKs3QRDwRGO8b8dmDEnle489g0/U2b6+l3q9TmYmTW7fBHIoTqgtgmf3esQjL7Gm3uR02w4OVDS2ha0VOc0ajQbD58+zBZMDnhDeWBzTilIvligUi5imQa5QZKJQwh/wEwqFkBOb+VFa4teqB/BN7ANTh7X3XCZeDQ8PU61WkdvbiTeamOkMRrmCpEpw9lGYPb70jgkCuHy2gOXyg163Rapm5YrHkxw7AKGdqKJIu99Lx7p19PX1MTo6yszMDJZloarqos6vxoULVJ55BqNou21Evx//7behLuL4Wr16NecsC6NWQTxdwW3KqG4FKapimib1er1VkrgACyITEqolY4VD1BonUbJ56uUv0zf4C7jUKFIgQPijH6Hwgx+gzyapPPccZq2K75ZbsGo1Cg99DyOfB1Eg+P57cfX3Y1kWe3M56tVpurQTBIJZEARUXxv+3p1QVDAyTeiyS4nmO+X19PQsWvIEoCgROjs/QlZ9nlTupzSbGSbO/gNdng+3SqRfSa02RjL5I7BMFCVMR8f9SJJ70XlXSiCwCcOsk808C0AwuI05HQiwO+NmMhmazSZjY2PLcuqpkmqH8mGfl7NnzwK2MDF4hTLNYDDIjh07OHLkCPV6nePHj7N27dolu8kJgoDiUlFc179Lrk+V6Y14GctWOT1TWlS4AugL9vHhoQ/zows/otQs8fjo4xQaBbbFd/KNl8bIV21huWpkGa49S9O0y1Y61I0Yzc0cLlWwLJOQ7JQTrF+//rIsq/kOzlfKAj1x4gSSJLF58+YF03fs2MHf/d3fUa1WF+2MuRJe78zQa8kLdbh2nPP9+nM9z3n99Gmm/+APqR87tmB65Bc+TeK3fwfJv7zu4m93nOv89cU5368/r9U5X8n63jbClcOVEQSBUGgH6fRTtmgFBANbcKvX1qJ2Yc5VvSWaLIeQGmJtZC2ns6c5lDzEptgmZHF5l+J8vlWbtw23fH0Gl5ciCQJb/B5eyJU43dDQLYvlvJ1El4RnawJ5qkL9TBazaVI7kqbbE+aMWSaTyVCtVltlgn6/v1X25fMNUSwepVI5RyRy42XrtkwLs6phFJtohQKz2R/SqNuCRkS6hcT2W1vB8HlN58msLWIMeFRui9jbOFdt8NNsibyuc6Rc47Qkcmu/l758lKZZR2lUOffi4aXPiyhiiiBFVKSAC1mWqUZDKOEom2MRAgG71PRdG/uZmJggn8+zY/sOzpzZj6bXyeQyuHbECLhdsPsz7KzVOJ0sktF0xupN+j3LHxyfPXsWXdfpFiXWDA2QR0AWBKRIEMvsIJdOk04mMQ0NsZRFLOcZ9ocpqb38U7PBh0qHUS4cQK7VUDbch+xyIQgC2Wy2JY50bt+OJ5vF0g2ax17EY52G+pxbIdAOkgqNkv0w9bkXyoJG2X4sepHI4AmDNwqeqC1sTR0imZsGb514INgS8DweD+vXr6e/v59kMkksFltgzTVKJSo/+xmN88Nz6xbwbN2G98Y9iEvkcfn9frZt2Uq5Ok09m8doasQTAv6tPRiWQbPZbD3q9TrVatVuflEBoWHRRKPgcqHnB6H2FFajQGFyHx1r3oM/tAWfbw3h+++n+MgjNMfGqR04iFmtYmQyGNmcLVrdcw+uwT4qlXMcTZ/hQrIClRSbzH0IVoLoqk8TDG6jaZSpF3Po6TqWaXHhwgUsy8Lj8VxRnAEQBJFY7N1IfWFmzj2MVqkwPf4QkcQNRKO3IAgX39H1+hSzsw9jWQayEqSz8yPI8vX9ER4O7UISvZhmDa93iGo13XrO6/XS3d3N+Pg44+PjdHV1XcxpuwrNZpPjx49jmiZut5uNGzde1b7t8/la4lWlUuH06dNomrZkZ8PXknUdAcayVUbSVWpNA49r8U/amCfGR9d8lEcuPMJsdZZ9M/vYPz5JpbIOUZDIaWOM1vciCCaqLLPGfzOd3oFWDpkkgGLUFl33O4l7772XL37xi+Tz+Zbw+8ADDyCKInffffeSy/X392MYBkeOHGHbtos3mfbv309bW9sVRatvfvObAG+rzFAHh3cKZqNB+ktfIvP/+zvQ9dZ0pb+Pzj/7M3xXcFE6ODg4vBY4wtU7CL9/A7ncCxhGHUn2EolcPah6KUSXhBRwYZSaaFPlFQlXALvadnEme4aKVuFk5iRbEluWtdxrlW91KZsDtnBVNy3OVRtsCi7vbSIIAq5uP3JEpXY8g55v4K3KRGcVCjGNsbEx0ml70NrefrF0aV64ajbTNBtZJD2AWWpiFJsYxQZGqYmlW+iUyAiPoWOX5wmSQLXjKHVXH37WYVoWP0oXaJgmblHk/fFQazC6xudm0KOyv1jhxXyFhmnyuGLSsbqDjmYZSWtimAaGZS56bIZpggliVqdbbSeyaRUvVioIwJD34kA7Go0yMTFBuVymfDpNpz/BTGmGbKTBybEzuCIewuEw3V4v7a4as02NA8XqsoWrVCpFai4/YfXqVfTEw5fPFA+jDw0wOTnJ+Pg4mqZhlbIcQCFjRbHqfQwWLsD0MTg9jdC2HllxYZr2sfv9fgaHhiifOkXz8M9o/uwont0DdhngwK3QeyPMCwSWBVrtoojVKF78W3aDN2KLVN4oqMGFDi9Dg9RpkpoLStO0LdKBx+Px0N9/sTObZRjUDh+huncv1lybermjncAddyBfpaTGsizqJ7OYFR0l4UEyVAyjgScL3nWLNwbQNI3C8xM09Cqax0LuFahWfFRnj2G4KhSLJUIXfkKjbYyMO4jH3Y339iGUFyS0cyM0TtlZQwgC7tt3U45MUR57AsOoszftgUqDTqvIalTCxRCKZy0IIkrcQ/10Dks3yY0mW+HRg4ODy74zE+rbhDUuk2k8gZEvUHAdoNGYpq3tXmQ5QKORYmbm+5imhiR76ez48Iqy/lZCILABWDyAsr+/v1UaOjw8zMaNG6+6PtM0OXnyJPV6HVEU2bRp07IbCLjdbnbs2MHRo0cpFAoMDw+j6zqrVq16XcWroTY/T55KYpgW55JltvQsHb7uVbx8aOhDPDn2JKcyZzk4cQyPMMWm9gHa1Au0CyH8Lj/3Dt5Lm3fhtWwYRusz453M5z73Of7mb/6G+++/n9///d9ncnKS/+v/+r/43Oc+t8B19573vIfR0VHOnTsH2F0C+/r6+NjHPsYf//Ef09nZyaOPPsr/+T//Z0Eu1S/90i8xNDTEzp07cbvdPPnkk/zX//pfuf/++9m9+9o6CDs4OLwxVPfvZ/o//BHN4eGLE0WR6K/8Col/9VuITqdQBweHNwBHuHoHIYoK0eht5PN7icVuR7qGFuOX4uoNUDthl8cZxQZScPnrC7vDDEWGOJs7y4HkATbENlzVdVVoFCg2bdHmtci3mieiyPR5XJysVjharrEpuDIHhuhV8O5qpzlSpDGcJ+wOYE3myFdnMMIWkikQk4I0J0qYdR2rpqIXNAy9Rmr4OfzW1svW2SRDVnwCy9VEdruJRe+gKp9FMzIkU48iCDLHtHYm63ZnwffFgwTkhQN8WRS4Mexnk9/Dz3IljpVrzETczNyymW0+D++LBjF1E0PT0RpNdE1H1zT0po6u6ZjpOv6aC1EQmd6bpDMAuW4ffe6LA+ZwOIwoimiFOqn8FG3+GN27VpEvX8Cs1zl69Cg7duzA7/ezM+jlkXSB89UGeU0nIF550KxpWqssKhQKXTnMWpbp7++nu7ubiYkJfMkUyYbJpAGHI6tpszR8xQmoZrBmT6K1rQdBRBRF1q9fj9Qo4GqcoFkYRytLWGoEYcv9dvfDSxEEcHntR+DKOUqXISlYnTtIj81AaYY28cqChTY9TfmnP0VP2yGGglvFd/MtuDdtXJbgoE2UaU7bZYueDVGMpk7t5CzNsRJqdwDJf7nwIRR1lKaI4vfj29mGHPNA+iyNQpgXJjdhymU0Vx6PeQwzOkjNsqjVJmCdgNKsI56rYlkG5u4IJe+LUAAsk1RmlnR5AB9B7napJEzVFvLGXoCh9yJ6lbkGEE2mT4yB13YLtbUtv/OmIAr4BroRTt1LsbwPLTJJnWkmJ79BJHILudwLmGYDSXLT2fFhFCW87HVfTxRFYWBggLNnzzI7O0soFMLv9+PxeFAUZdHXdmRkpCXmrVmzZtEyq6ttc9u2bRw/fpxMJsPY2BiGYbBmzZrXTbxyKxKDcR/nkmVOzRSvKFwBKKLC3f13M5IEw9xLTcyiKyYuUaTd2869g/e2cr8cLicSifDEE0/wr/7Vv+L+++8nEAjw2c9+lr/4i79YMJ9hGOiXuCsCgQBPPPEEf/AHf8C///f/nnw+z+DgIH/913/Nb/3Wb7Xm27RpE1//+tf5L//lv9BoNBgcHOT3f//3+b3f+73X7RgdHBxeHUa5TOqv/5rcN/5xwXR17Vo6//zP8Gy9/Pepg4ODw+uFI1y9wwgENrTu/r9alE4fjZECZlWncb6Ad8fyB5UAu9p3cS53jopW4XTuNJtimxadr6pVOZE5wfGMnS+kiArt3hWKBCtki9/DyUyOsVqTnKYTUVb2VhFEAXVVCDnuxjwskC8U8OQsPDkBj9uNLhTQL5nfRRdV4Sw1xvCzFUEUEAMKUlClqSYpNZ9HlhUkyUdb28/h9fYTNrYwNf1ttGaO4emH2We9G+QuNvk9rPctfTfML0vcmwizPejlyUyJqUaTw5UafT6V9T4PklvGFbi8XMmyLPR0jfrpHNlyjVhSZ6hsYXorWJ0+BEFAkiSCqp/ZdI68p0RXbxfeTe1srQU4ePAgmqZx5MgRduzYwXqfh6dzZaqGwcFildvCVxYIh4eHaTQaiKLIunXrljXAlmWZgYEBBgYG2KgbfGUyTU03KAyt4o7CQfTxA+hmHl0aQ+u/g2A4QqB0Ds49jstvi4CWtw2t825crxStrgPFju3Uxx4HyyCRPwORy633Zq1G5YUXqB8/0Zrm3rAe3y23IC4zW8Z+3WyhQ465cQ2GMJo6wnAK5pxY3t3tl53TxogtFEtBF9JcOSqzx1BlgfZ4ghl5B4X8adZ46tQzRcpGgVo4hIVFc7MLK1pDUFSENltElVHwZ9IcKQ8SEKJEPD7WbL8Vpg/CyHMweRB69oA7iJzwUE4VaWYq0G+7rVYqqihdPqQLBUKNm9Dqs5TVlzGMOun0kwCIoouOjvtX1BThtaCrq4vJyUmq1SpnzpxpTZdlGY/Hs+BhGAajo6MAdHZ20tnZeU3bnM8tOnHiBKlUisnJSQzDYN26da9bl551HQHOJctM5muU6hoB95UbdRRqGo3SKvo9ApbnGC5ZZF10Hbf33L7scvN3Mhs2bODxxx+/4jw//elPL5s2NDR0WZfmV/J7v/d7jkjl4PAWpvTUU8x84U/RZ2Za0wRFIf6bnyf2a7+GsExXr4ODg8NrhdND0uGaEUQB9+owAFq6hp5fWYfBqDvKYNjOqzkwewDjktbrlmUxU5nh8dHH+eqJr7J3Zi8VzXaLbI5vRlqse9t1ZMir4p5zAB0rXXs+ihRUCd3Sg3cg3JrmmwuyFF0SUtCF0u4l1LUJOebBaq+h7vYRuLMX/55OjJ4UWR4DxUCWvXR2fhSv1y4dkyS7vEmQApwpVwiWHydqpbkrujz3Rafq4hc6o/TOOaYeTxep6EuHGAuCgJLwIu1p53zChSUKJBCoHc9QfXkWo9TEbBp4UgJYUNTLuDfHbeeLz8eWLVuQJIlGo2EHRFcrbAvYAtuxco2muXiZItidr+Y7p/X39+Pz+dDTNcp7p6m8PINZ15dcdh6/LPHeWBBBFJjSTc703kp4w23EvSId5gy92WcJjT8Op38Mho4UCiOvfxfEhmiOTyzrnK6UJCr4EwhAfPpleMU50JJJcl//eku0kqIRQh/+MIH3vnfZopVRalI9msKy5rpgbokjCAKCLCIM2Neinm+gTS7M5jIKjVbXUHVgLn9Lq0PaLiHqWbcN1AC1+DZySh9+IUpHQaEv4yYe2IPX24vYE0FsD+Hzr6HDdxO90zpSxcM5IQqBLnatvxXRHbDFKlm188JGnwdAjnvI53OIukDI5V80nP5qCJKIq88u/3OlO+iMfbwlUgmiTEfHz6Oqr60IvhzmxdhAILCgFFLXdUqlEslkktHRUU6dOtVyHQYCgVftkBJFkY0bN9LRYYuyMzMznDhxYtGSxteCwbgPlyxiWXBmtnTV+Z8/n8EwLXp9q/nXN/xzPrj6g9zVe5cjWjk4ODhcI3omw+Rv/w4Tv/H5BaKVZ9cuBh/6HvHPfc4RrRwcHN4UOL/2HF4Vcpt3rqRHo3G+gLxrZYHpu9t3M5wfptQscSZ3hqHIEOdy5ziaPkq6djHEWBEV1kXXsSm2iZjn8iyg640sCKxTFc4BR8o1IorE4FzHwZUiSCKdN6/moLUfxRKJ71mFK+BGkC7qxm4zQmHseUyzSVUYxS3GKRQOkMn8DABFCdHRcf9l5UyyHGDY/T7K/BOSVWe3+QyC3gHS8lqIC4LA++Mh/n4yQ800eSxT5Ofblm57DzDS1Jjp9pCPqdxSlSDbQM83qLw0jeCRCYleEEBIqFSaVYJuW0gLhUJs2rSJo0ePUq1W2b9/P/G+fgRLpW6anKjUWaz4zzCMlgvF5/PRHe2gcjCJnr4oKFb2zeLd2Ybku7JjY73PzZmqmzOVOs/kSgx030RUVOD8k1C4RJyKrYZ19+ESj6K/vJ/myAjWrbde9zKqZFODYBfR8jhKowCpU9Bulwxauk7psccwa3UEWcJ7ww14duxAWME1aNZ1qoeSWLqF6JLwbk8gKBeXF6Iu5IaAka5TP5dHTngRVfv5ltvKKyPPZ9ilTtrikigR6N9BpHKGXC7HuHczicgAjD6PVM4SPP0iwQ0fwmj7OQRBQJw5AWcfA9Ngv9COFVuLJ9jB5qDdPADFDX03wfDTMH0Y+m4kp+nU9AYiAj3+y91gy8XVE6AxUsTSTKxpma6hT1Aun0J1d6K+wU6rSwmHw+zevRvLsmg2m9RqtUUfuq6jqiqbNm26Lp1d5stjZVlmYmKCVCqFYRhs2rQJWX5tfyIoksjqhJ+T00VOzZTY1R9dct6ZQp3TM7a4ddOqGO3+8Gu6bw4ODg5vZyzLovDQQyT/8j9iFAqt6aLPR9u/+x3Cn/wkwuvkvnVwcHBYDo5w5fCqEEQBdXWY6uEUeraOnq23Otwth7gnzmBokAuFC7w4/SLPTz1Pw2i0ng+rYTbHN7Muus5uA/86ssGtcK4BVcPgkXQBAYEuVWG1V2W1101MkZY9mPb5fOx69w2IooiqXn4coijj9a7iaOowo2P7iaZn6TNPEpIl3Go77e0fWrTb2UitwYGqjOy/l+3a4wREnZmZ79LZ+TFcrqUHgZcSVmRuiwZ4PFPgbLXOqUqdDf6lSw3PVm0XTnvEQ2h9BD1Vo34mh1nTsao6HsWNrzOMrlpks9kF+TuxWIytW7dy6tQpGo0GyZELyO4g1WiCg8UqXYp12fZGR0epVqtgWvTL7dT2zmLNzSYFXJgVzRZoXp7Bs70NObT0dSIIAu+NBZmoa/brmirw6d49iJIMZx61O/+tvgu6d4Ig4Orvp/ryfoxCESOXQ45e+ZxalkVGM5hsNOl0KbSpVxbSUk0dXD7a/GEoj8HEXmjbAIJAdd8+uxsfEPzgh3D1LJ3ptei+6CbVwynMuoEgCni2JxC9l++PujZMLT+LpZnUz+TwboljlJtoySoAroEQwnz+2Kxdrkt0Fbi89PT0kMvlKBSLFIZ2Egp2wckf2M6sow8g9b8LmmWYOgRATY1wNH4bKD62B70ol+aade+GiX3QrGJdeJaRSgeWD0INFW/jyufxSgiyaItXFwo0J0u4BoIEg8trBvFGIAgCqqqiqmqr+9s8lmWh63qrJfH13ObQ0BCSJDE6Oko2m+XIkSNs2bIFRbn2c78c1ncEODldJFlskK00ifouv7NvWRY/O2sHrEe8Cpu7r5yH5eDg4OCwNM2JSWb++I+pPPfcgun+O+6g44//COUaS9AdHBwcXkscKd3hVSMnPEhBe7DROJ/Hsi4XH67ErvZdANT0Gg2jgYDAYGiQD67+IJ9e/2m2Jra+7qIVQEQW+UAixKBHRRIELCwmG02eyZX4ymSKv5tI82SmyGitgbGMY/Z4PIuKVvNkpF6mG01cepJy8QAnyjVerkdJ++/FEi8vC6saJo+k7LtkUU8bewY+jii6MIwaMzPfRdOKyz7W7QFPq7Pf45ki5SVKBnXTYqRqZz8NeVW7fLDNi//mTtTBEKJLxL0qRGLQLj2aD5C+lGg0yg033NDK5umpl5iamuJCJst4c2HJX6lUYmx0DKPQIJr34M7YjfxEt4RncxzfjR14d7YhKCJm06S6fxYtfeXSTp8kcXfMFtOmGk32FSrQvQv2/Au46XPQs6vV/U/u6EBw2+elOTKy6PoqhsHJco1HUnm+NJ7iK5MpHk0X+MfpLOnmlUsYk027M2Bb+5A9oTgNhQm02STVAwcA8GzbunLRyrSoHUtjFJsIAni2xJcU9ES3jDpf8jtTQc/UaI4W556TUDrnBNNaHvLj9t/tmwFbiPTOlSxOTExAfA3s+hXwJ+wXauTZlmhFdJAjaz9OU/EhCwI7gq+4pmUX9NmdTlMXjlLOJWn6LMKRMEaxuaxy0KVw9QUQJAFLt2iOX70k7c2KIAgoinJdRatL171q1SpWrVoFQKFQ4PDhwzSbzeu+rUvpjXrxuuzjmXdUvZIL6QoTOft9/e41caSrNHJwcHBwcLgcyzDI/v3fM/zBDy4QraRolO6//i/0/M+/dUQrBweHNy2OcOXwqhEEO4gc7KwcPbOyrKs2bxvbEtsIqSF2tu/klzb+EvcO3ktvoPd1bc++GOt8bj7WEeU3+9r4UFuETX4PnjnrdF7X2V+s8E8zWf52LMnpysqO+1KqhslT5TCmoOCVJPySRM01xJj7Lh7N1vj/xpM8myu1BCXLsngsU6BsGMiCwH2JED5PJ+3tH0QQJHS9zMzMg+h6ZVnbFwSBe2JBXIJIfa5kcDEBcrTeoGnZOUxD3ovOOkEScQ+FCdzei3soQnTOmVQsFtE07bL1KIrC+vXr2bp1K50uF2EMcrk8jw7PuasA0zQ58fJRGuNFpIJJr78dQRJwrw7hv6UL11wgvBxx49vVjqhKWIZF7VCS5lT5sm1eyhqfm81zrrLn8mVSTQ18MVADC8+LKOLqtzPFmhdGAFu8G601eDpb4u8n0/ztWJKHU3mOlWuUL8kGalom30/mlszuqhsmhbnXsy3eDz67bM0afZHSE4+DaSGFgvhuuumKx/JKLMuifiaHlrIH+uqaCErblfOwXD2BlvhcO5FFm+s+6OoLXu62klWI2UKbIAj09NgdPlOpFLVaDbxR2PnL0LH54gb6bsLY/HEOVO3j3eT3LF5227UD0+VnJGdCfgx/VxiPz953PXXtWXOiS0LptssSm+MlLH3pPLV3Ov39/axduxawheNDhw7RaDSustS1I4kCa9vt993pmcs/d0zT4tlzdtl4V9jN6oT/NdsXBwcHh7cr9dNnGPn0LzD7l/8Rq3bx+zR0//2s+uHDBO+77w3/ze3g4OBwJRzhyuG6IMc9LUfHtbiu3tX9Ln5xwy9yU+dNBFyBqy/wOqOKIut8bu5LhPl8Xxuf7oyxJ+QnpsgYJY3ihTzfPznNdPXaBnhPZIpUTIGmupZ1Pg+39ryb96/+MGt8PgQEaqbJC/ky/2sixY9SeV7IVzgzJ5TdFgmQcNnlPB5PD+3tPweCiKYVmJn5HoaxvH0KKTJ3xOxzf65a58QiQty5uePrUBWC8tKuj0gkgiAIWJZFLpdbcr5YLMaePTdwYywMwGjD4OmXDzB6foSzjx8hN5zE0kxWRXrx9ATx39KFuiq8IB8M7JJB3w0dSD4Fy4La8QyNkcIVr8M7o0ECkoRhWfwoVVjSNecaGKAsShzKl/j2+Cz/fWyWf5rJsrdQbjmmRAR63C7eHQnwS10xPt4RRUAgo+n8JL24CJjSLjqIEi4Fem4AoPrisxgzkwD473rPikNRm2OllqvI1eNvhZNfCUEU8GyIIgh2LpZlgaCIuObEHiwLZo/Zf7dtAOlilXlHRweKomBZFpOT9n4jKbD+A7D1E7Djl2D1nZysNlrC3q7gEh0kJZlkYDMVzYJKmsH2IHLMFkiv5qS7Gmp/EEEASzNpTl5Z2LQMEz3fwCi8doLNm5nu7m42bNiAIAhUKhUOHjxIvX7twvzVWNthX6O5qkaytPCcn5gukinbrq9b1yScgZWDg4PDCjCbTVL/7b9x4aMfpX7kSGu60t1N79/9HV3/8S+RI5E3cA8dHBwclocjXDlcFwRBQF1tu66MYvNVuSPe7IiCLVLcHg3wq+0xPpWx8OnQKDR44OUxipmVHfvpSp1TFXuZ7V3vY/3g54jFbqXXo3J/e4TP9sTZHfShiiKGZXG8XOO5vC1M9HtUdr6i5MrrHaQtcQ8IAs1mmmLx4LL3Zavfw8BcyeCTmSKlS0oGTctqCVeXuq0WQ1GUVrbVYuWCr5z33s0b6W9vQ5Qkzloip/cd58L4CADtbe303LEWz6Y4onvpWD7RI+Pd3d4SUOtn8zTOLi2iuiWR9yfsazbZ1Hghf1HMsCyLmYbGc7kS31IDfDXRzdP+CGdnU2hz64sqMjuDPj7SHuG3+m0x8+awn07VxYBH5daILfqcqtQ4UKxetv1Uwxa9fJKET5agfRNa1aJ6dhZKU7i3bF5xiaCWrNI4awuFStyDe1102QN9Kaii9F4UuVy9AQR57iuiNA3VudexffPC5SSJrq4uAKanp9H1OUFOEOyQ+3AvlmXx8tw5GPK6ibkWfx1N02Sk4gbZTcwjEMoeRI7b17eRrb8qp5TollE651xXo0Usw34dLdPCKDdpTpapncxQfmma0lPjVPbNUN470+qs+E6jo6ODTZs2IYoitVqN8+fPv2bb6gq5CXps8f3UJeWCTd3khfMZAIba/HSFl87ec3BwcHBYSPXAAS7c/2HSf/s/Yf67WRSJ/vIvs+oH38f/7ne9sTvo4ODgsAIc4crhuiFF3cgRW9BonM9jmStzXb0VaYwWiehwHy5koKgZPHhonMqZbGtgfCUqhsFjaTunqsftYlfIhyQtFIXCisydsSD/sjfBXdEg4blOX25R5N54aFFhwu9fSzBgB1CXyieX7YATBIF74iFU0S4ZfDR90bU03bADzcHOt7oa8+WC2Wz2qtuXRYGbO+K0JRKkPEEaVVvU8ST8bLpnF1JweRlnokvCu7MNJW4PcBujRWrHMkteiwMele0BWxh5KV/hYLHKo+kCXxpP8Q9TaZ7Pl0maIPoDyJZJfy7D3fEQ/7K3jc/0JHhPLMhqrxt1kc47e0I+1swJfD/NlpioL8wKSs7lX7XNiTgWIuULJlgWkpHDv2fXso55HqPQoHYsjWXZDjTPlvjFMr85rvY6uFeHkQIuJK+M6xIRi5k5t5UnDKGey5br7u5GFEV0XWd6evqy50frTbscE9j1ymyrS5iZmaFWr0O4j8GwCOmzyK6c7ZQyLfQVisKvxDVgu67MhkHtWIrKy7OUnh6n/MI0tRMZmhNljGKTS0/TfNnkO5FEIsHQkF0WmkwmKVzSeep6IggC6+bKBc/MlDDn3q8Hx3KUGzqiIPCuoTdPB0gHBweHNzNWtcrsn/8Fo7/4SzSHh1vT1TVrGPjmP9L+e/83ovfKEQIODg4ObzYc4crhuiEIAurQnOuqrKEnL3eZvJ0wmwbNcTvEuq8vzL0bOhFkkQlMnhjLUtk7fcVSI8uyeCxdpGaaKILA+5cQoeZRRZFdIR+f6YnzyY4ov9wdJ3CFcr1AYBMAulakXp9Y9nEFZYk7o/YgcrjW4HjZFgvm3VZhWSauXL0haWTOet5oNKhUrj743+b3IEsSAXcQITFA1Btm6y07ca2wVE6QRTzbEri67HI0baZC9VBySbfO7dEAEUXGxOLxTIHDpWqrpM0vSWwLePlwIsSvpia5e+QMW33uK5ZJtvZj7jWdX/cPknkqlzjYWsHsc2We1f370XUvCCL+zV0I6ePLPmazplM9lMIyLERVwrs9cdEthX2tvZgv8/+MzvLATJbJ+uKB24Is4ruxA/+7uhHnArMxDUiesP9u39QKrr8UVVVpa2sD7JB28xW5XvsK9uvfoSr0uhd/PQ3DYHR0FIDEwEYCEVuoECefRZpz0b1aJ6fkU5Dn8r60ZA09V8fSbZFEkO28NHUgiHdrHLXfdgzq6eo7QoRfis7OzlYA//Dw8IrLwJfLurlywXJDZzJfo9rUeXnUdg9u6Qku2m3QwcHBwWEh5aefpvDLv0LhH/+R+bswgqKQ+Lf/hsHvfBvP1q1v8B46ODg4XBuOcOVwXZHDbuR5t8vb3HXVHCli6RaCLOAaCLKtK8SNG9uQQipHBJ1j5RqVfTPUz+UWdV+drNQ5W7XLkG6PBoksQwwCu1Sxz6NeVTxxuRK4XPbgv1Q6saJj2+z3sGq+ZDBboqQbnJ0rZ5zvJng1AoEAimKLMlfKuZrHL0usVmXMksaIx8OmTRuJxKMr2u95BFHAvTGGOjAnPmTqNIYXd4u4RJH3x0PIc8fU7lK4Jeznn3XF+VxvgrvjIdavHkDBwqo30Gdmlr0fbknk59vCKIJA2TD4QSqPaVmkmhqzc8JVh6qgp9NU9+0DyYV72y5ciQBMvGyLRlfBMi2qh1OYTQNBFvBub1tQUmlYFj9OF/hZroRuWYzUGnxjOsN3ZnPMapev/7LXNjsM2pxg9IoywUuZD2mv1+uk0+nW9GRDY6Rmi567g74lr53p6Wnq9TqCIDAwOAiDt9pP5EaQ3bZArKWqGKVX1+VOXR1G8itIQReuHj+ejTH8N3cSuL0X3+523GsiKO0+lDnh02ya79isKwBRFFudBvP5PJlM5jXZTtzvIu63xanTMyVeGs7S1E1cssiNg7HXZJsODg4Obxf0bJbJ3/l3TH3+N7FSqdZ0z65dDD70PeKf+9yKMzMdHBwc3kw4wpXDdcc9n3VV1d+2ZTZmXb8YgN0bbLlT7oyHGOwOonT6+KlqMGOZNC4UqeybxiheHHCXdYMnMvZgvN+jsj1w/bNbBEEgENgIQKV6btkh7fPL3h0P4RZFGqbJN/ePMXMuh9U0GfJdOd9qHlEUW66rq+VczbPZEjCbBnnBYiq2vPLApRAEAfeaSKvkTZupLCmk9rhdfLYnwW/0tvHPu+O8KxKgQ1VaIosUiSCFbBGsOTKyov1IuBTeF7ffE+P1Jj/LlXl5zoEUlCVWqTKlx58A00IM+PH93KcBsBolxiZP8uNUgWOl6pJOF232opjj2RxvdQcEqBkmD8xkOTbnmhv0qMTmBNKRWpMH81W+m8wz07i882OLmaP2v8Euu2PgEgQCgdbrPTFx0eH3ctE+1pAssW6Ja+dSt1VbWxt+vx8S68Fvu7iU6l4ERcTSLaoHZjHK1y5eST4F/81d+G/sxLMhhqvbj+R3XVZWKfoUJK99rt7OmX3LIR6PEwrZ1/Dw8PBljrrrgSAIrOuw32OnZ0scmbCF5l39EXzq8kR9BwcHh3calmVReOghhu/7OYo//GFruujz0fHHf0T/P3wVde7mg4ODg8NbGUe4crjuSEEVpW3OdXWh8LZ0Xc0fl6CIrZIiAEkQ+GBbmHBARer285OIQAULo6RR2Tvd6nT3k3SBummizrl9XqtOWX7/OhBELFOnUjmzomUDssRdsSCWbjJbboBpoRSbdKvKstcxn3OVz+cxjKu7hxJZjXZLRJAEDotXn385uHrsQG6zYWDklxbvArKEfwkXmyAIuAYGAGjOCSwrYZPfw7a5LK1ncyWezdlB8LuCPpoHD6LP3R0N3HUXRLo4E1rP1+nhW2PjHC1VeSRd4BvTWWZfITBZpkVzOA+AkvCgJC5mVuQ0na9PZxifKwvcE/Lz0fYIv9Id5wOJMBHFPtbhaoN/mErzvdkcyVcKWFodMnOh3B1Lu63mmXddFQoFCoUCJd3gZLneOlZxiet8cnKSZrNpu63mzjOCAIO3AyBWx/EN1hBkEbNpUj2QxKhcQWy7CmbTuOrnkiAIl5QVLi0cvhMQBIHVq1cDUKlUmFmB63AlzOdcNXUT07LwqRI7+5xuVw4ODg6LoU1OMv7r/4Kpf/9/Y+TzrenKzTfT/9D3iHz60wiLZHA6ODg4vBVxPs0cXhPUVWHAzt7RrtJ6/q2GWdVax6T2BxGUhW8jnyTx820RZEmkHlN5atCN5ZawLLvT3eHpIsNzpVN3RAPLyku6ViTJi887CEC5fHLFy2/0uRkwLh5ff9lEWEbo/DzzwpVpmuQv+VG1GJZpIWQ0tlkSYsDFhXqDrKaveJ9fieR3IfltsU2bWdwB2Gg0ePHFFzl06NCSbpJ54UpPZzCuIaT6rmiQTtXFdEPjdKWOacHGZpXKvn0AyJs2cioS539PpnnIvY5p3NAs49dsZ95Uo8k/TGV4PFOkbtj7qM1WMar2OVIHQ61tjdebfG0qQ07TEbHdc7dHAwiCgCgIbPB7+JWuGHcF3ITnBKyz1Tp/PydgzQepkzoJpg6iBIkNVz3GWCzWykOamJjgQLGKiYVbFNm8hKtQ13XGxsYAu5Od99LA2Nhq2+kFSKln57K7BMyGQfXALGZ1ZeKVZZjUTmcpPT1BZe80Zv3K15c8JwSaNR2zfO1C2duBUChEIpEAYGRkZFlC9Iq34VXoDF105d28Ko5Ldn6mODg4OFyKpetkvvJ/OP+BD1J59tnWdCkapfOv/jO+L/4FSmfnG7iHDg4ODtcf5xehw2uCFHChdNiDvsaFApZx/UtL3igawwUsy+5gt6Dz2iV0qAp3z5WHTUkWL6/zI/kVSlg8PmLn/6zyqGzxv/bt3f1+u1ywXp+m2Vxeyd48giBwpy6jWrZTZo0uoK0gdF9VVbvsi6uXCxqZOpZmshqR4Nzg9UDx+gT8K+1zQe3JxYO2x8fHqdVq5HI5pqamFl9HVxfCXGZX9mtfI/fNb1J68klqx46jp1JYVxnIy6LAPfEgGU3HsCyKmk7pyadomBYHY+18Y2A9P0kXyGk6uCP0uSQ+xhSfaxzlI+0RwrKMhcXBYoUvT6Y5VqzSOG9nhykJTyvA/ES5xgMzWeqmiVsU+VhHpOX2uhRREFjnVvjVrhj3xkOtbpVnq3X+z2Sa7yfzpKdP2TNHV4Hr6h2IBEGgp6cHE3g5meHlrC3wbQt4F+28WKlUOH36NJqmIYoi/f39r1whDN5m/12aRdZH8W5rQ5AEzLpB5UDyquLTPEapSWXvDM2x0tz/NSovz17RuSUFXYiqLezpqbd3s4nlMDg4iCAINBqNBeWg15PN3fbnZtzvYlNX8CpzOzg4OLyzqB0/zsgnPknyP/0nrNrFMvbQz/88q374MIF7733NXPwODg4ObyROcITDa4a6Kow+W8VsGDRHS7gGg2/5L1Oj3Gy5dlyDwQWd217JJr+HmYbGgWKFg5UasU6VI+fK1Gsm/obJPb2vXYngpXi9A0iyF0OvUi6fJBp914qWdxeafMpyUcSiBwltsoyry7/s5aPRKOVy+arC1Xwemhpysz3m5/l8meOlGu8K+/FIr05jVzq81M/nsTQTPVtHiV8UDDVNWyBWjYyM0N7e3gqWn0eQZdybN1M7eBBMCz2VRk+l4fiJuecl5EQCua0Nub0dQXGBoWPpcw9NZ7xQYlehwmHZgyLBdzSBQqwbYf06JEFAQGCNT2VPyEenZzWcOg3Zc6ymSl93nL2FMnsLFaqGwcMjaRL1OnegMDAYwrIsns+XeT5vuwFDssRH2qPEXVf+mBcFgc0BLxv8Ho6Xa7yYL1PQDU7nc5wpymygnZvjm1lOTL5uWsz4gjwueimaJsFCgfZYjB3Bi6KXaZqk02kmJycXuPA6OzvxeBYRciMDEO6D/BhceAb5hs/i3ZageiiFWdOp7J/Ft7sdcYkcJMu0aI4VaZyfK+8VQOnwoc1W7W6ML8/i3dG2IBtsHkEUkOMempNltFSt5SR9p+Lz+ejs7GRqaoqxsTE6OztX3PXzamzqChJ0KyQCKqL41v6+cHBwcLhemNUqqb/572S/+lW45EaZ0tNDx5/8Cf5327/tXgs3rIODg8ObAUe4cnjNkHwKSqeP5lSF+vk8zckySocXpcOH6FfekiJWy23llnB1L+62upQ7ogFSTY3xepMnrCYNFWjCrQUT36sUY5aLIIj4fespFA5QKp8kErkZQVjets26jlnVCSKS6AvSGC2i5xsYFQ3Jt7ysq2g0ytjYGNVqlVqttqg4YTYN9LR951Dp9LE96GVvoULTMjlaqrInvHyhbDFEr91Fzig20WcqC4SrqakpDMNAnHMEaZrG2NhYK9PnUvzvfheebVvRk0n02Vm02SR6MonVbGLpBtr0DNr04vk/JhbJYpU1pkk4lmAy1kZKUZHjcTyRCJv9HnaHfETnu0u2bYLhp6FZgYl9KGvv4V2RABv9Hp5IFzk9VmJaMHnAZ7JHb1BL1zgxF8Lepbq4vz2MT1p+GaokCGwNeNnk93C0VOPFC2OUgBNihFO1IBtTeW4O+wkv0v2yYZocLlZ5uVilYhgIgQAUCvjLRT62fhUBWaJerzM1NcX09DTN5sVwdVVV6ezspK+vb/Edm3ddHfwaVNKQOY8cH8KzNU7tcAqzqlM9kMS7q73VJKF1zus6tWMZ9JydsyW6ZTybYshRN0pXvdWNsbJ/Fu+2BHL08vB4uc1Lc7KMUWxi1nREzzv7a3NgYIDZ2Vl0XWd0dJQ1a9Zc1/ULgkBf7OruPgcHB4d3CuVnnmHmT76AdqkjXJKI/eqvEP/N30Rc7KaPg4ODw9uMd/YvcIfXHHUojFHW7EFfXacxUqQxUkTyK3bL+Q4vonf5Yd9vJEaxgTZrlwupgyEE6erC23xY+9emMhR1AznipnemweqigZGtI8denx8bgcBGCoUDGHqFWm0U71zu1dXQs/aAXxAF1FUhtJkKZsNAmywjrV1eaHIwGESSJAzDIJvN0t3dfdk82kwFLMt2uLR5cUsSG/0ejpSqHChW2RXyIb1KoVPp8GEUm2ipGm7DRJBEDMNgcnISsPOVZFlmbGyMiYkJurq6FhXZpEAAKRBAnRO2LMvCyOfRZ2fRk0m02VmMdBpLNxAUGUGWQZZJGRYFUcWSZO5OhNnn8zHu9rJ94zp2R0OXB8NLMnTvggvPwNQh6NwGgQ4iiswHLRermjI/EzQaYZX9xYvZXet9Ht4fD6Fco1tFEgS2Bzxsrh3iCAYv+jdTEQSOlWucKNfZEvBwU9hPUJaoGAYHi1UOFqvU57LBBAR2tycQi2lCpkF5fJSjmkYmk1kQcB6JROju7iYWi7VEwyUJ90KoGwqTMP4SxIfsIPotcWpH0xhljeqBWbw7L4pX2kyF2qkslmbvl6vTh3tdtJVJJ0fd+Ha1UT2YtAPfDybxbI0vCLgHkCNuBFnA0i20VBW1751dvqaqKr29vYyMjDA1NUV3d/fCXDIHBwcHh+uCnk4z+5f/cUG3QAD35s10/tmf4t5w9exJBwcHh7cLjnDl8JoiqjK+PR2YJQ1tpoI2W8GsG7aYVc5TP59HDqnIHV6Udu+S5T5vBurn7bwe0SujrKBUbj6s/Z9msihBN+8pSwglncb5AlLU/bo4z1yuGKraTqMxS6l0YtnClZGzQ+SlkIogiyidPhojRbTpCupQGGEZ4ogkSYTDYTKZDLlcbnHhaq5MkKjSEhZ2Br0cKVUpGQZnKnU2vMo8MKXdS/1MDks30TN1lDYvyWSSRqOBIAj09vaiKArT09Nomsbw8DCbNm266noFQUCORJAjEVi/HqAl0My/tpZl8fBUhmRTY5VHpa8jyhL+ooX03AAzR6CWh1M/hF2/goWIdqHAaiRWR30cafeyr1jBsCxuDvt5V9j/6q+p0jRyLctOYMuqAQ6LQV6aK1E8XKpyrFxj0KMyWmugzR2rJAhs8nu4Yc41drKYZmZmhunp6dZqFUWho6ODrq6ulYsdvTdC4UG7ZLA4DcFOO7vMgtqxNEZJo3owiXdrgvq5fKukV1BEPOujKB2+y1YpBVW8uzuozmVl1Q6nsDbGFpTCCpKAHPOgzVbRU7V3vHAF0Nvby9TUFM1mkwsXLizrfeLg4ODgsDwsy6Lwne8w+5//CvOSZjCC10vbv/03RH7xFxFW4Kh2cHBweDvw5lUJHN42CIKAFHQhBV2oa8IY+caciFW1M4cKDfRCg/rpHKJbRgoqSAEXYsCFFHAhqNJrIu5YprUs4QVAz9dbpWzqquUJNpfSoSr8ek8CUQDR26B6MGkfd2Zh3tJrSSCwkUZjlmp1GMOoIUlX3+58iZUQFtH1EkqXn8ZI0S7tS1VboedXIxqNtoQr0zQXOGyMUhOjaJeOCQm1NT3hUhj0qFyoNdhXqLDe9+pEPtEtI0dU9Jx9/ckJD+Pj48DCbniDg4OcOXOGZDJJT08PoVDoSqtdlFfu51i9SXKuU9/u0PLOGQCyC9a+Hw5/E8pJGHsRTd3e6iToXx3m1pDKtqCXumHSpl4n9+LMMftfTxgl3MtuQWBrwMPBYpW9hQp10+Rc1b42XILI1oBd5hi4xDXW29tLMpnENE2CwSBdXV20tbUhXeuP7dga8ESglrNdV5vuB2wnnWVa1I5nMIpNys9NMm/skqNuPJtiiO6lv+okn4LvhnaqB5MYZY3a8QyWZqL2XxSolDav3cExV8dsGpeVJL7TkGWZgYGB1vukt7eXYNAR9BwcHBxeLY0LF5j5oz+mOtdxeB7/7bfT8cd/hNLV9QbtmYODg8MbiyNcObyu2O4UN3LEjXtdFD1TQ5upoqeqWIZlZyrVdbTkxU4poktCDLqQAragJce9yyrTuxLNiRL1U1nEgAu1P4jc5l1SjLIsi8a5PMBcieO1lcXMB4xbMTdySEUvNGiczyPHXh/Xlc+3jkzmGSzLoFw+TSi0/Yrzm3Uds6ZjUCdvPI4xVsbrHUQNrUYs+GlOVVYkXAHouk6xWCQcDreem3dbCW4ZQgs/knaHfFyoNZhtakw0NHrdry4IWmn3oeca6KkamWSaSsXe9qX5Sp2dnUxOTlKpVDh37hw7d+5c8eujZ2qIHrlVBruvYG+n3aXQt9JjiA5C13aYOoQ18hxNEoCKEr/YSTAoSwRfWWp4rZgGJO3Aedo32xlTgEsUuTHsZ3vQy/5ClfO1Oqs8KjuCPryL5LX5/X52796NZVmtzpKvClGE3hvgzKOQOm270Dxhe9+6/GBa1E5msay50tahMK6+wLJeO9Et493VTvVQEqPQtJ15moG6Omx/ZsU8CKKAZVro6dqKmhO8Xens7GRiYoJqtcr58+fZvn37WzK30MHBweHNgNVskvnyl0n/zy9hXZIDKcXjdPzhHxC45x7nM9bBweEdzeuTDu3gsAiCKKAkvHi3xAnc1oNvZxvutRGUDh+ST5kfL7eCuxsXilSPpKm8PINlmNe8XaPYpH46h2XZf1ePpik/P0VjrIilX75eI1tHnyuZU1ev3G31SgRBQF0dau2LnqpdZYnrgySp+HxDAJTKJ646v56tY2GQF59Gl0sAVKsXSLt/REZ4glpmArOuL2vbXq+3lRd1aXdBy7RawpXS4bvsR1m/20XcZYs/+wsVXi1yuxdBsLd74cR5AEKh0AJXlSiKrFq1CoBisUgqlVrRNppTZSoHklRensXSTFJNjQs1+/q5IXT5MS6LVXeCGkAvqhhjp8CyUFet3Am2LLLDoM1dk+2Xl4CposgtET//rCvOuyKBRUWreXw+3/URrebp2AqKBywTJl5e8JSrJ4Bncxylw4dvTwdq/8q6mIouCd/OduSYHdDeuFCkfjJrOzMVESlii4Sv1/v1zc6l75N8Pn/VrqEODg4ODotTPXCA4Y98hNT/+98WiFbhT3yC1T98mOD73++IVg4ODu94HOHK4U2BIIvIMQ9qfxDvljj+W7oI3NGL74Z2POujuLr8SAHbqWIUm/aA8pKg5+Vi6SbVoyks07JLx+YGqWZNp346R+nZSepncy1BxrIs6vNuq6ALOXF9yvqkqBt5biDcGM5f07FcC36/HeTZbKRoNK4syBi5BgX20VRTCIJAMLgVRQkh+hQa4gRJfsDUmW/TaCSXte1519WlA1w9XcNs2q2blc7LnWyCILA7aE8/V22Q1ZYnlC2F6JKQom7KjQq5mTRgl7S9klgsRiRih88PDw8vu720ZVo0hu08CrNh0LhQaLmtgrLEOt/lXeuWheLGWnMPjWwIGiUUcbrltrqu6E2YPmz/HeoGb/T6b+PVICnQvdP+e/rQRYFtDlenD++WeOuzYqUIsoh3W1vLVdmcLFM/aYfKz4e265naqxLO307E4/GW6Hv+/HlM0zkvDg4ODsvFKBaZ/pM/YfQXfpHmufOt6a5Vq+j/2j/Q+adfQLqGuAIHBweHtyNOqaDDmxZBFpHDbghfHOzXz+dpDBdoTleQQiqu3sCy12dZdimRWdURBPBsiSOHVYxSk+ZosZW51RgpYo0UMD06WlVt5S+558qGrsuxCQLq6jD6y7MYJQ09ufy8qFeDx9OLLAfQ9RLl8glU9fYl581nDlERTiF73ARD24jH7sCyTMrl06RyT1HPpyhlz9KYmMHnW0UkchOq2rbk+qLRKJOTk5RKJZrNJi6XC226DIAcVu2yugo0m03S6TTFYpGenh42BIL8LFemYhgcKFZ5b+zVZeko7T4mT5/ErOl4VDfxePyyeQRBYPXq1ezfv59arcbk5OSCcsKl0CbLmLWL4lp2rMAJFFBEdgd9iK/i+tGNLgxXF2gpVPMlqK5bubBkaFAv2I9qFtfMGELSgmbJnnapELSI2+pNQfcuGHvJPpapQ9B/83VdvSAJeDbHEeQszckyzakKCAKuQfu6swwLPVu/rPvg64Vh2J1NJemN7+QnCAKrVq3i4MGDVCoVZmdn6ezsfKN3y8HBweFNjWVZlB59jNk//3P0S1zdgqIQ+5f/kti/+HVE16uLRnBwcHB4u+EIVw5vKdRVIcxSEy1Vo346ixhQbHFrGWhTlVanMXUojBy2HStSwIVncxx1SKc5XqI5WcZq6lipBo1qHkEQkSMqUuwa3TJLIEfcyFE3erZOY7iAnFg6Z+t6IQgifv968vl9lMuniEbfjSBcno1UzY+Sbz4PgDc0QCx6W2v5QGADnrWDpF56npJ+GKuuUxUuUK1ewOsdJBa7DUUJX7bOcDiMKIqYpkk2m6UtmmiVXYntHmZmZjh//jy6rrcEwmKxyJ49e9ge8PJcvsSxUpV3hf2tvLBrQQ8I5GoFsKDTm1hSjAwEAnR0dDA9Pc3o6CgdHR24rvBD0jJMGhdst5WS8GAUmxxq1mlmdAJdATYHrt2t13JyRVehSDNISg1OPwLbf6GVQXVFTANGfgbje+2/AcEycVWq4POC8Irz6Q5B25tUuHL5oGOzLVpNvgy9e0C8vmHpgijg3hAFyy79bE6WQQAxqGAWNfRk7Q0RrnS9wuTk1wDo7v4lZPm1F7uvRjgcJh6Pk06nOX/+PKFQaOUdIx0cHBzeIWjT08z82Z9TfvLJBdM9u3fR+YUvoK5e/QbtmYODg8ObG6dU0OEthSAIeDbFEb0ylgW1I2nMxtXLx4xyk/ppu0RNjrlx9V/u2hHdMu41EQLv7kZdE0FQL7491OvotroUdSg8t38a2mz1uq9/MQKBjfY2jTrV6oXLnte0ItPj38fCRBGCdPR9EOEVwoYcdBMIbqDNup9Q4xYUxbayV6sXmJ75LqbZuGy9siy3Oo9ls1kaUyWy1QJns6PsHT7E6dOnKcy1fZYku5NkvV5nYmKCbUEPsiCgWRZHSq/uPE3MTCJ4JBRJJqpdeeA/ODiIJEnous7IyMgV521OlDEbBoIA6poIrApxDB2zqrPZklDFVyG2JasYFQ0kBdfuuVK5/BhMHbz6wpUMHPgqjL7QEq0AcPkx/B1YbRtt19K6e2Hbp+DGfwk3fg6U6yvUXld69tj/Nsowe/w12YQg2OKVq9O+RpoTZay6gWVZ6Okqlvn6lPdeSqVyFsOoYxh1SqWjr/v2l2L16tXIsoymaRw5coRG4/L3v4ODg8M7GcswyP7D1xj+uQ8sEK3EQICOP/0C/V/9qiNaOTg4OFwBR7hyeMshKCLerQkEScBsGNSOpK84iLQMk9qxNJZhIaoSnk3xK4pQgiza3ch2hPFsTeDb+f9n777j47rKhI//7r3T+6hLVnG3ZMuOHScmoaQXUoCQhABZIIEENuxmFwiQfWnJBt6EHrIblje7bBZYNoEQNrQ00qnpcbflJkuy1ctI09u99/1j7LEVS7IkS6Pi5/v5+GPNnVvOPR5rzjzznOeUYQlOz4d4iz+3OhxAunmwIB+GrdYADscCACKR4UXaDSNNd/fvyMajqNgo9b0Ti23k7AnbAg8KKvZQNVVlf0Np6QWgqGQzYfr7/zjiMYfrXPX19fHiiy/S1NtMiAiGaaAoCn6/n/r6et761rfmpxy1tbVh1XVWeXL99EY4jj7JmmDpdJrOzk40j40KTynmUBojNXr9Krvdnq+B1dHRkV+F8M3MrEG65VC2VaUHzW1lp0ch49BQTWhoT0763/boulnWEieWxaugdHnuyX3P5ab4jXigCe2vw+v/BZGu3LYF62HDJ+Csz2GeeTOJhvdBw7th8Tm5lQuLFuWmH55AkK0g3MVQsiz384GXc/c6DRRVwbGyGGtFLnhlxDLoA0n0lI4+WPjgTDS2K/9zOLIV0xxf7bXp5nK5aGxsRFVVEokEW7ZsIZPJzHSzhBBiVkju2kXLB6+l+847MeJHvnzzXvJOljz+GMFrrkGZ7e+7Qggxw+S3pJiTNK8N58piALKDKZJ7QqPum9wdQo9kcnWtVhWj2sc3rUhRFCylTizFU1OQfTT5FQbj2fwKe9PtcNZVPNFKNpu7pmma9PY+TTrdh5nUCZpvx1k8er0aa7kbRVMwDZNsVwKvdxXBwFuAXEAsFtt3zDGHA1fZRJp0PPfB319RxLJlyzjjjDNYvnw55eXlWCwWFi5cmM922r9/P6f6csGDqK6zK5ac1H23t7djGAZWr50KfymmmctmGktNTQ12ux3TNGlubh5xn3RbGCNtoKgK9sV+dNPkjXAcS7GTFWg44zrpg5FJtTmfbQXYFvtzUwOXXZzLiNIzsOvJYwM3qShsfRh2PwV6Nje9bs01sPyiXNBHs06qLbNKzaGsq1hfbiXEaaKoCs5VxVjLXShWDSOeRR9IkukpzP/VwzKZIVLJrvxjPRsnFttb0DaMJRgM0tDQgKIoRKNRtm3bNu5FDYQQYj4yEgl6vvtd9l95FcktW/LbLZWVVP+/H1D9ve9hKS2dwRYKIcTcIYErMWdZK9zYa3PF2dNtEdIjBH0y3THSB3MFwG0LfdMehJoMzWfHWpZrV2r/UEGyrtzupaiqFUyDaHQnAIODrxCL7cXMGnjSp+CgFm2MTDPFquZXX8t0RDFNk0DgNOyOCgD6+p7JB8UO83g8VFRU4MhYqPZVcOqi1Zx+1hlUV1cfUz/KbrdTV1cHQGdnJ450ksXOXF2y14ZiE16JUdd12tvbAahcUIWzPPfaOVz3rDWRojd9bJaIxWJh0aJFh+6pj1BoeJDUzOikWnNBKesCD6rTwq5Ykoiuozo0NpTlpkemmofyKyiO1zHZVodXErR7YOkFuZ8HmqHrqGljfXvgtfuh/1DgsGQZnH4DFM+zKQj+GvAdCqweeGVaL6WouYLt1nIXqtuCPpQiuXOgoKvoxWJ7AFBVOw5nLmMyHN487deNx1vp63uebPb4gdeysjKWLctlwg0ODrJjxw5ZaVAIcVKK/uUvNL/7PfT/8D/hcBBfVSm67jqWPPo7vOeeO7MNFEKIOWZeBK6efvpprr32WpYsWYKiKNx8883jPnZoaIgbbriBoqIivF4vV199NZ2dndPYWjGV7MuCWIK5D/PJnf3okXT+OSOeIbHzUF2rgB374sBMNHFcDrfNSGTJdESn/XqqasPtzn3AjER3EovtJRR6CQCHsRAPq1FUBc1nH/M81gUeIFejSx9KoygqZaUXo6gWdD1JX9+zwwJMiqJQv6Ke1d4l1AQq8dUVjzlts7q6GofDkc92Os2fy7rqTmc4kEyPetxIurq6yGQyKIpCdXV1fvpXdjDFy71hftE1wIMdA8RGyBIpLy/H48nd6759+4bdU6o1jJk9lG21yIdpmrwylAuGLXbaWbC8OJeZljHyQajxME2TVPPg8GyrYY1qhKLFuZ/3PgPxgVz21dZfQjoOmgVWvBMar8plXM03igI1uQw/Qi0Q6Z7eyx0KXtlqc4HITE+c5Pb+4x5nmiZGMjvhoOWbRWO7AXC7lxDwrwcgmewklZq++47Fmunq/i3h8BY6u36Nrh9/euSCBQuGBXp379494SCzEELMVdn+fto/fysHbriRzIED+e32hgYWPvQQ5V/4P6juefieLIQQ02xeBK6efPJJNm/ezNlnn00gEJjQse9///t56qmnuO+++3jggQfYtWsXl1xyCdns8Qt+i5mnqArO1aWodg1TN4lv7sXM6JiGSWJbP2bGQLGqueXtp3nFvhOheW357KXU/iFMffo/6Hk8uemCmfQAPT1PAGCzlxLInomCghawo2hj95nmt6O5c9POMu25gJvVGqC46B1Arlh7JDq8eHa2L4GRzmVhHC58Per5NY3Fi3PBmf7+fjzxKKW23PVeD4+/SLthGBw4NIAsKyvD6cxNAVUsKjvJ8vzBXIAzbRpsHOG8qqqy5FDR1EgkQkdHR+68KZ10Wy4TxVbjRbVbaEmk85lbp/vdqA4L9oWHgh0HI8OCq6MxdZPk9n5S+8MAWMtcR7KtDlOUXGDKYoNsCl754ZFi7b5KOO0GqFo3vlUH56qSFeAM5H4+8PK0X05RFdwbKvIB3cTOAVKHatMZ8QzZ/gTpAxGSu0PEN/UQfbGDyHMHiPypneif28mGJjfFNZ3uJ53KLZnudi/H6azDYs29pqYr6yqRaKOn53Ewc/9Xc78nHhtXXa26ujoWLMhlhXV2drJ//7GLQAghxHxiGgahh37BvksuJfy73+W3Kw4HZZ//HIt+8RDO1Y0z2EIhhJjb5kXg6tvf/jbbt2/nv/7rv/D7/cc/4JAXX3yR3//+99x///1cc801vPvd7+aXv/wlW7Zs4ZFHHpnGFouppNo1nGtKUVQFI5Elvq2f1N5BskO57ADnymJUp2WGW3l89sV+FAWMpE5iay9G8sSDp2NNO3Q4qvKrAZqmgWZxUVH+LozB3AfT8RSkVxQln3WV6Y5hZnMfcr3e1bhcCwEY6P8jmcxQvj3pQwEuS9CO6jp+raWysrL8aoT79u1jvTc3rXJvPMlAZnx91NfXRyKRAMgXW1c0hbYiC88qGfRoBsuhAM/GcJz0CNObioqKKCkpybcjFouRbskFGRWLgm1hLtvqxaHc/VXYrdQ4ctMfbXU+VEduJczk7tCYGShmRie+sTs/9dVa7sLZWDLyzg4/LD403cA0ckGqhW+DdR/OFVmf71QVqk/P/dyzc/RC9VN5SU3FuaYE1WnFiGVI7hsi8lwbkb90EHujh0TTAKnWMJneBHo0k/8/aOomya39mMmJZ14dzrbSNCdOZw2KouL3nZJ7LrobXZ/aFUmTyQ66ux/FNHUsVh/BYC6zLZE4QH//H46bQaUoCkuXLqWsrAyA1tbWfOBYCCHmm+Tu3bT+zYfouv12jHA4v9399rez+NHfUXzDDSjWeVBbUgghZtC8CFypk1yJ44knniAQCHDhhRfmt61YsYK1a9fy+OOPT1XzRAFYAnYcy4NALqMn1ZobONhqvFjLRl4Vb7bRPLYjQaDeBNEXO0m1hSdc88o0TTI9caIvdRD5wwGyAyNneSiKgse76tDPKuVll6FmnBiJXDBIKxp7muBh1ko3ipL7YH64XpSiKJSUnI+mOTCMDN0HHifR1Ef0TwfJ9iUOHecZ1/kVRclnO8ViMQLhQdxarsD+60PHL5Btmmb+Q3MwGMTrzdW2OpBM83urjqlAMGXwfr8PFYWkYbAtkhjxXMuXL8dms6HrOtu3bCN54NDrrNaHatNoS6ZpPzSF8cyAJz8NUtFUHMsDAGQHkmR7Rz6/Ec8Qe6WLbCgXdLUv8uFcXTJ25lvVutwffzWs/RtYdBao41uAYF6oWJMrVG8acPC1glzSVu7GUu5C0VTMrDGsNr5q17AE7Niq3DiWBHCtLsG1thTFouayQZsimJnxB69M0yQWPTxNcBmKknu/83hWoagWTFMnHNk+1ikmJJXqpavrtxhGBs3iorLivQSDZ+Dz5wJl4fBWwuGNxz2PqqrU19cTDOZ+L+/du5eurq7jHDX1wuGwTFUUQkyLXPH1u9l/5VUkNh75vaiVlFD13e9Q88P/wFZdPYMtFEKI+WNeBK4mq6mpiRUrVhxTY6ehoYGmpqYZapWYLGu1B1vVkalnmteGY1lwBls0cY76IpwNRSjW3Afi5K4QsVe70MPHry1jmiaZ3jixl7uIb+5Fj2QwsybJpoFRg19+3zoCwQ1UVFyBw1GVD3IpmoLmHV/gSrVpWA4FB9NH1edSDSe+zAbS7RHCzbvpP/BSfoqgtcyVrzE1HoFAgNJDK++0tbZwiiuXybQ9miCuj138eWhoiPChb0APZ1v1pDL8qjuE4dDwaSrvMe0Uh9LUe3JZZq+GY+gjfNi12+00NDTkznugn5aBdhSriv1Q3aMXB3P3X2azssQ5vP8sZa4j9dh2h46ZDpodTOX+rePZ3AqYK4txLA2OWQMMODJl8NQPQ6Bm7H3nI4stF7gD6NwEmclNx5sIrciRe92Xu7CWu3CtKcFzRiW+c2vwnlWN+/QKnKtKsC/2Y61wYy3N7YOiYCZ0Elv7xx2QTqd7yWQGAfB4Vhxpg2bH68m9FiPhLZjmiRdBT6cH6Or6FYaRQtUcVFa8F6s1AEBx0Vn5LMr+gT8Tix1/JUdN02hsbMwHi5uamujvP35dsKnS1dXFxo0bOXDggASvhBBTKvrHP9L8rnfT/8MfwuHyIopC4IMfYMnjj+G/7LLjv38LIYQYt9k/f2oahUKhEWtiBYNBBgYGxjw2HA7nPwwD+YLuuq5PyxLguq5jGIYsL34c1mV+svEMRiKLfWUQAwMm0WUz2d9apQtnkZ3UnkGy3TGyQ0kiL3VirfZgX+JHsQyPN5umid6fJN08NKx+kuazo4dTZKMpkm1D2Gq8I1xNwe/bAOTuOdMfxzQNVJ9jQn2nVThJd0XJDiZJtAyiD6bI9iZQzAB2pY6Eso+IdTOe8uW4q2tRXdZjzn+8Pl+4cCG9vb2kUinK+3vQbF7SusGmoShv8Y8cBOvr62PPnj2Yponb7cbv99OXTPFwV4ikbuDUVK4o9uHuTJDqjHJqRQnbw3GG0ll2RuI0uI+dLun3+6kqqaC5uYlOs4fSZZW4VZODsQRt8VyA8S0+54irqVmX+Mm82o0eT5NsGcR2uPZVd5zkjn4wTBSLir2xBK3YMa2vv3n1O6ViLUrrS5BJYra/caRo+zRSi2wY3XEM3UAtyb1ODMwjq0e9iRKwYV3qw9wYJdOfIL6jD3v98QOT4fBODNPAYvFisZQN+/dyuxsZHNpMOhMmEtmD27100veTyYbp6vxfsnoMVbVRVno5mhYcdr3i4otIZ35JOt1Hd/fjVFRchd1eNuZ5FUVh1apVbNq0iUQiwdatW1m3bl1+sYPpMjAwwM6dOzEMg0gkkl+YYSrNi/87QogJyXT30P31rxN58slh2+0rVlD51TtwnnLKDLVMCCHmt1kZuBoaGhrXyn6LFy/GZrMVoEXHuvvuu7njjjuO2d7f34/dPr5MlYkwDIOhoVz9lslOjTxp1CiAlUR8ECZZ+mVW9Hc5mHYNc388VxdnVwxlfy/KIjcED9VKGMpgHkxgRo7UelJ8FpRqF4pfxdiTxexLE9+aQLEEjgl6Hc00TcyDg5gpA7UIYr29426qaZqY2SRmyiC28UinK6qCNXgqMVcPui1Bh/kMwei7UWLH/uoZT597PB66urpo2buHyoVLaTJU/pCMEx+ys9xuwXaoAL+u67S1tdHX15c/34IFC2jt7uHXQwnCuoFVUXin34nFZhCLxSEGaicUZzO0pbM8356kOOAc8cOue1DDalqI60m2dO5CL7bwdEInls5SpGn4owq9sciI92C4s5g9KeLbEyjWBPSmMNpyfabYVZSlXhJGBHpHPn6qzIrX+BSyO6qx9u3E2PUH4ra6aZ8uaWopjFgcJR4nWmGiWI/fh4bdIO7TIRwnsSeBmo6iVDlHv4Zp0j+wEUOP43Ityb+ej5bN+EmnO2nP/JlgYPw1Ho+mG3EGQ4+h62EURcPvP4dwWAOO/R2gqWeSTPwWwxiief9DBAPvQtOOnz1ZVVXFzp07yWQybNy4ccRs56kSjUbZvXs3uq7jUHXKaxYTCoWm/HVeyOwxIcTMMnWd0M9/Tu/37sGIHskuV5xOSm++maKPfFjqWAkhxDSalYGrhx9+mI9//OPH3W/nzp3U19dP+jrBYHDEgrGhUIiiorELG99yyy3ceOON+cednZ1s2LCB4uLi/JSmqXT4m92SkhI07SSqXzNDZk1/l4K52CDdEiHdGgbThIM6loQNM2ugD+mADdw2NJ8d22I/WpE9/4HQ8AaJvdgJhok1YsvXARuJkcgSsyTBAq5F5WiBiQVg0yscpPYNArlsL0ulG2u5C8WqEki46er+FZDCYtlHUdHbjzl+PH0eDAZJJpNkMhmKM0k6fGXopskbBmxNQb3bzsJsilBrK8lkErfbjdfrpb6+HtXh4KGuELrdiVeBK8uC1DltmIZJrMvETOnYdCfnVxfzi64QCSDm9bPoTVP+9FiGeCLJqsql7MweAIeFvV3d9BdV4XbZubDUT9kImVr5fvYVEX+pEzNroOzXMVOA25Wb2npKboXMQpg1r/Gp4roA5bVWwMA9tAmWXjitwSszaBDtbAfTxIEHa+nxgze6rmM2mHg7FYyBFPQpOKvcWEpHrsOXTHYQi5uAi6rK07Hbj31vcbneRk/v40AYv1/BZhulkP+obUrS1fUUdkcWBQ9lZZfnpwSOrJRg8P25KYVmBsN4ibKyK1HV43+J5HA42L59O4ZhYBgGFRUVE2rr0bL9SfRQMjdVVs1ldqFAIp3k4N4WrLqKOxNjjXKQzKCFQH39lL/OU6njT+EWQsx9yZ076bztdpJbtw7b7jn3XCq+/CWsh1ZRFUIIMX1mZeDqxhtvHBYUmi719fU888wzmKY57JvfpqYmVq9ePeaxPp8vv9LZ0TRNm7YPgaqqTuv5xXCzpr81DcvyIuxVHpJNA2RDKfSB3AcmRVHRfDbsSwJYih3HZDBobg3HwgCp/UPo7TGo9aO5R/5GUB9KoCgqiqZgDTpR1IllQzgWBbD47KhOC5pn+IdYj2chwdR6hoY2EoluxuNZgtN5bMHS4/W5pmksWrSIPXv2kAgN8J4F1ewwNfbGk2T0LJt27+aN3h48mkqFw8b6ZUtZXFeHjsLD3QP0Z3VUVeVdZQEWHw4uaWCv8JBqi5Btj1Eaz1Km6HRrJq8NxFhSMzzrKtUykCts7/PSsHg1Tbub2Nndi2lolFTXUO91oY6RSaK5NBxLgiR3hyBtoCgq1lInzsaSMTPipsOseY1PBV8FVKyG7u3QtQUSA7DqvWCfpilpmoa1xEW2L0FmfxjSBrYFHlTH2G+rmqbhWl1McmMfeiRNakcIy2l2NN+xgZ9EYi+qomK1BnA6K0bMUPJ6lzE46CebjRCNbqW09IJx34JhpOjt/R3ZbAhV1SgrfScez5LjHudyLaCs/GJ6uh8nk+mjf+AZyssuyxeOH015eTnd3d309/fT0tJCWVkZ1klkKOhDKVJb+nhz2aq0nmFb925S2RRaOsYyRUdRS1GjPWhn6Gja1GZoz4v/N0KIURmxGL33fp+Bn/502DRwS3k55V/+Et4LLpA6VkIIUSBzf37ICbjkkksIhUI8++yz+W27d+9m48aNXHrppTPYMiGOpXlsuNaX41xVjGrX0Hw2XGtLcW+owFoy8pQ2APtCH6pdwzQhtSc06vn1UK6otea3TzhoBYemBZa6jglaHRYMvhWrrQhMk57eJwiFXiKZ7JxwUemqqipcrlyGSvhAK+8q9XOt387CA83Y+nNTqWJWOy0LFvG46uKZgQi/7QnlV/u7oNjHijdlRFkrPbmVEbMm2d4kq3syZLrj7N3Tz74/tBF7vZvknhCptjCZ7ty0PvsiPxVVFdiLSwhldfSuDk7RjDGDVofZarxo3twHdnutF+ea0oIHreal+suh5vTcz0MH4fUfwVD7tF3OXuNFUcBI6aSah4j+uZ34ph4yvfExi68rFhXX2lx2nambxDf1YCSzw/YxTYNYbA8Abs/yUf9/K4qKz7cGgGhsF7o+vuL0hpGiq/t3pFLdAJSWnI/Hs3xcxwJ43MsoKnobAPFYMwMDfxnXccuWLUNVVdLpNPv37x/39Q4zswaJbbmglWpTsfhzQT/TpbJrcD9pMqjpQRq0FB6riuJwk1lwOkxx0EoIMb9Fnn2WfZe/i4Ef//hI0EpVCX7kwyx+7DF8F14oQSshhCigWZlxNVGtra28+uqrAMTjcfbt28cvf/lLAK6++ur8fhaLheuuu477778fgDPPPJOLL76Yj33sY3z3u9/F4XDwpS99iTVr1nDllVcW/kaEOA5FUbBVebBWusc9YFIsKvYlARI7+sn0Jsj2J7AUD6+rY5om2VAui8tSNPo0txOhqhbKSi+mo+Mh9GycUOhlQqGXUTUHTmctdns1uu4Cxp5qq6oqS5YsYevWrQwNDbF9+3b6+vooNU1KfS7sFZV0B0ppTmZIGQabI0dqbr096GWt79hpWZrPhvv0CrKhJHokzbJwmheTGQYxeS2b5pIB8isuAqhOC9YqD4qi0FlSgXKgE3s2Q6almWxpMRbL2L9aFVXBfXoFZkpHdUlNjCmjqrD0AvBUwO4nIBWFTQ/Asougau2UX85S4sR9RiXpg1EyXTHMjEGmN0GmN4Hq0LBWeUbNwlIdFlxrS4m91o2R0olv7sW9vjwfwEwkDqDrCQA87hXHHH80r3cVodBLmEaWSHQ7Af/6MffPZEJ0dT9KJp1bhKS4+Cy83lUTvn+/fz2ZTIhIZAdDQ29gmhms1iI0zYWmubFYXGiaC0Wx5X9fOZ1O6urq2L9/Px0dHVRUVIyYvTya5O7QkZU3TynDErCj6zpbt24lU6Zi721nZXGIMrcKxUvQ699JYmBowvcmhDg5ZTo76brzTqLPPDtsu2PVKiruuANn48R/VwohhDhx8yJw9fzzz/PRj340//jJJ5/kyUOrfRy9BPZIK/499NBD3HLLLXziE58gm81y0UUXce+99x73g6cQM2mi3/JZq9ykD0bQw2mSe0K4g45hWVVmIpvP+NCC0xO4ArDby6isvJpIZDuJRCvZbBRDTxKL7iYSaSIei6MbdXjci3A663A4Fox4r8XFxQSDQUKhEL2Hisg7nU7q6+vzK4VGszpbowm2RuIMZXVO87k5Y5TVByGXaab5j9SzelsoylNdg7SmdeKaE29Mx4hmcjWNlgdRVIWeVIbmVBatbhE1HS0kk0l2795NQ0PDcf+NFE1FcUmW1bSoaAR3CWx7BJJDsOsJiHTlglra1P5u1zw2nPVFOJYFyHTHybRHyQ6mMJK5LKz0/iEsxU5sNV6U4PCsH81nx9lYQnxzL3o4TWJbXy77TlWIxXYDYLOXYrONXXNR05x4PCuIRHYQDm/B71s36rS9eLyFnp4nMYwUKArFRWfh96+d1L0rikJJyXlkskMkE+2Ew1tH3k+1oGkuLJobm62EqqoNdHV1kUgk2LNnD6eeeuq4fqdlumOk23NFke2L/VgCdkzTpKmpiVBfD/RsZ6k7ngtaVa2FZRdzzHxCIYQYgZnNMvA//0Pfv96LET/yhZfqdlP66U8TvPaDKDI9WAghZsy8iM5cf/31XH/99cfdzxxhAOv3+7n//vvzWVhCzEeKouBYHiT2Wjd6JEOmI4qt2pt//nC2laIpI9bamUoORyUORyWmaZLJ9BNPtJKItxJPHAQgne5lMNPP4OBrOF11lJddgqoOL5CuKApLlizhjTfewDAMFixYwOLFi4cFnD0WjTMDHt7idxPXDTyWiQ04G/1u/hqJE3fobPPaubDEn5v+ZZj5rJgXh3Ifoov8AU73LqeluZnu7m6KiopOqPC0mALeClh/Pez4DYRaoGMjxHoO1b3yHu/oCVM0FVuVB1uVBz2aJt0eJdN5KAurL0GmL4FtqR/etIigtcyFY1mA5J5BMr0JlN0hbMu8xGL7APC4xzd9z+c7hUhkB9lMmHi8Bbd78bDnTdNkaOh1BkJ/BdNE1RyUl12C01l7YvetaJSXXU4o9FdS6V50PY6ejWGaR74kMo0sWSNMNhMmmewknR5g6dKz2Lp1O+FwmM7OTqqqqsa8jpHMktiZyxCzBOzYFvoxTZO9e/fS094K3dupc6ep9qmw+GyoPTNXuP1NX1YJIcSbJbZupfP220nt2Dlsu/eiiyj/0hexlpfPUMuEEEIcNi8CV0KI47MEHVjLXGR64qT2DWEtd6NYcwGYfH2rwOTqW02GouRWQLPZSgj415PJJOjo2IbTGSGVaiOTGSIRb6Wj45dUVLwbi2V4sMHr9bJ+fW5KlMczegFuVVEmHLQCsKoK630u/hSKsC2a4K1BD25Ng0P905vOsDuW67e3BNws9JQwFAoRCoXYvXs3Pp8vX4tLzBCbC9a8H/a/AG0v5+pdvfYjaLwS/McuDjBVNI8N54oiHEtzWVjptkiuEPueEGYpx8yGtdX5MOJZ0u1R0gcixLMt6K4kCgrucQau7PYyHI4qkskOwuFNwwJXhpGhr+9ZotFduevZiikvfxdWq39q7ldzUFJyXv6xaZoYRhpdj+UCWYf+TmcGiIS3kUy2Y7Nto7S0jN7eXpqbmykpKcFmGzlobpomie39mBkDxaLmFjJQFVpbWzm4bwd076DSpbOoyAr1l+Uy7oQQ4jj0SITee/6F0IMPDsvOtFRVUvGVr+A999wZbJ0QQoijyTwVIU4ijmUBFFXBSOukWnJ1X3L1rXIBGMs0ThM8HlW1YbfXUFx8NjU111NcfBYoCul0H+0dD5FK9R5zjMfjGTNodaJO8bqwKSpZ02RjOD7suZcGYwD4LBqrPLni+A0NDVitVnRdZ+PGjezfv59kcnzFssU0UVVYch6sfE9ummA6BpsehM7N037pw1lY7tPKsQRyWYNGS5z0gcjw/RQFR30R1opDiw50biPbn8Rur8BqHX/9p8NF2hOJA6TT/QBkMmE6Oh/OB63c7qVUVV0zZUGrkSiKgqbZsdmKcDqr8XhW4Pevo7TkfPz+dQCEw1spL0+gaRqZTIbm5uZRz5duDedrzDnqi1CdFjo6Omje+gp0baPYrrO83IlyyvslaCWEOC7TNAk/+XuaL72M0AMPHAlaaRpFN3yMJY8+KkErIYSYZSRwJcRJRHVZsdXmMpfSbRGMeOZQfavcdJrprG81UX7/OsrLLkNRLejZGJ2dDxOPT3wVshPh1FTWeHNzuzaG46SN3AqI/eksuw5nW/k9aIfq89jt9nx9q3Q6TUtLCy+99BJbt26lv79/xOnKokDKV8Kp14EzAIaeq3vVt6cgl1YsKq51ZfkaaqndIdIH3xS8UhWcq0rQyq0klQPoQymsA5UTes243UvRLLk6buHwFhKJg3R0/Iz0oaBvMHgmZWWXoqozt8JeUdHb89MTI9GXqKrKtaWzs5OhoWOLqOvhNKl9ue3WCjcUW9m+fTu7Xn0eepvw20xW1QRQT/0IBBcW7D6EEHNT+mA7B266ifZPf5ps75EvxJynnMKiR/6X8s9/HlWypYUQYtaRwJUQJxn7Qj+qTcM0TJJ7Bwta32qi3O4lVFZehaY5MYwMXd2PEg5vKWgb1vvdqCgkDYOtkdwqby8NRTEx8WoajZ7hRYuKi4vZsGED1dXVWCwWTNOkr6+PLVu28PLLL9Pa2ko6nS7oPYhDPGW5ulee0tw37Dt+kyvaXgCKRcW5thTFm5uhn9g5MGLwylwYRnUrKChYuspI7g6NO3ilKBo+72oAIpHtdHb9Cl1Poqo2ysvfRTC4YcaXb1dQKCu7BKs1AKaBZtmE05kLCO/ZswfjUHAYwNQNEtv6MA0TxaERLsrwyiuv0LN3Iww047crrF5cjnbadbl/UyGEGIWZTtN337/TfPnlxP7wx/x21eul4p9vp+5nD+JYMfYKrkIIIWaOBK6EOMkoVhX7ktw0oVz9nTBQ2PpWE+GwV1BV9X6stiIwDfr6nqd/4M8Fy17yWTQaPLlMtNfCMfrSWXZGc9lWG/xuLCP0mcvlYtmyZbz1rW+lvr4eny833SuRSNDc3MyLL77I9u3bGRwcLMg9iKNYnbD6fWBzg56BrQ9DMlyQSysWFaXei+bLZV4ldg7kV8k7LBbfjaXMhctXh4aTdFtkQsErr7cRRVFzxdFNA6s1QFXVNccUay+4bAq2/hL+ei9afwvl5e9CVW2YRopg0V5MM0MkEqGjoyN/SHJ3CD2WIaNnaLb2sHN3E5n+VrTQfpYVqayrr8N62kempdi+EGL+iL30Ms1XvJfee+7BPGr6vu+yy1jy+GMEP/ABFFU+EgkhxGwmv6WFOAlZqzxoHisAejQDgKVo9kwTfDOr1U9V5ftwOnMFtYcGX6en9wkMI1OQ65/uPzT9Kqvzq+4QJiZuTWO1d+zpBJqmUVlZyfr16znttNOoqqpC0zQMw6Cnp4eNGzeye/fuYVkmogAc/lzwSrNAKpoLXmVTBbn04cyrw9mNyZ39pDtywStdT5JItKIoCsEVp2Itz72+0m0RUuMMXlksbrzeVQA4XXVUVX0Am614+E7ZNPTuht1PQcemqbu50aSisOmB3NTMdAy2/wpbZxNlpe8ERcFqSeLz78M0Tfbv308qlcotInEgQk+0n62p/YQSQxDuJBjfz+lVGtU1tShr3g8W+/GvLwBoamriwgsvxO12U1FRwa233jqu7M/+/n5uuukmamtrcbvdNDY2ct999x2zX0dHB1dddRVer5eioiJuvPFGwuHCBIWFGEm2r4/2W2+l7frrSR9VR89aW0vNf/4nC777HSylkq0phBBzgawqKMRJSFEVHMuDxN7oyW+bTfWtRqJpDioqrqC37xmikSZi0T3o2Sjl5ZejadNbj6LUZmWx005zIsVgNgvksq2sE8hQ83q9rFixgsWLF9Pd3U1HRwexWIz29nYikQirVq3C4Zjd/wbziq8SGt4D2x+BaA/s+C00XpUr5j7NFKuK+9QyYm/0oIfTJHfkCqmnvK2YpoGiqLg9y1Ab7UAfme44qbbctEL78uBxp/sVF5+Nz7cGq7X4yL7JMPTvhf59EGoBI3vkAE8Z+Kqm4U6B+ABseQgSg7nHzkDu5+Y/4Iqvpqj8DAYGX8TnjRON7CabXcG+XXso7XGwt7eViBnHWuXBEu9hibKfynIVJVANa64By+ya2jybhUIhzjvvPJYtW8YjjzxCe3s7t9xyC/F4nO9///tjHvu+972PpqYm7rrrLmpra3n88cf55Cc/iaZpfPzjHwcgk8lw8cUXA/Dggw8Sj8f53Oc+x7XXXsujjz467fcnxNFMXSf00EP0fu8ejMiRKdmKzUbxJz5B8cdvRLVL0FsIIeYSCVwJcZKyFDuxljrJ9CZQLAqad/Z/CFQUjdKSi7BaAoRCL5FMdtLR8TBVVR9A06Z3ELoh4KE5kcvKcWlavmj7RFmtVqqrq6mqqqK5uZkDBw4QDod5/fXXWblyJcFgcCqbLcZSuhwWnwv7nssFdfY9C8suLMilFauGa10Z8Td60CO54FW4egvYwOmsQ9NyQUxnYwkTDV4piobNWgzR7lyWU//ekWt5aRbQs7D/j3DKB6b+JsOdsPUXkI6DqkH95VC8FJp+l8v46tqKP1FNumIx0WQzfn8PoZCHg9tiHEwaGIqBbYGXYi3Kcts+HBYV01tJpuFiEvHd6EYSq8WHxeLFYvGjaa4Zr+E1W913332Ew2F+9atfUVRUBEA2m+Xv/u7v+OIXv0hV1ciBy66uLp5//nl+9KMfcf311wNw3nnn8eqrr/Lzn/88H7j65S9/yfbt29m5cycrDtUJCgaDXHzxxbzyyits2LBh+m9SCCCxdRtdd9xBctu2Ydvdb3sbFV/5MraFC2emYUIIIU6IBK6EOIk56oswzQGsJc5ZWd9qJIqiEAy+BYvFR2/fM2QygwwM/JHS0ukNOFTbrdQ4bBxIpjnD78Z2gpk5qqqydOlSfD4fTU1NpNNpNm/ezOLFi6mpqZEP4IVSswESIejYCAdfA2cQqk8ryKVVm4br1DLib3STjoSJHNyD6rFiL61Gj6ZR3dbcaoNvDl4pCvZlgdFfI/37YPeTx9bu0iwQXJQLHhUvgaGDsP3XMLAfQq0QrJu6mxtohm2P5OqIWWyw6kooWpR7btWV0PwCtL2EMnSQklSETIUHr9cg3LWRdPoUMH04K7wsr7RS1PsaKS3CkMNCsjiI3vnzES+pqBYsFh9Wix+LNfe3orrJZnXg5J4O9MQTT3DBBRfkg1YA11xzDTfddBNPPfVUPij1ZplMbjq23+8ftt3v9xONHqnP9sQTT7BmzZp80ArgwgsvpKioiMcff1wCV2La6eEwvff8C6Gf/Sy3+MYhltJSyr/4BbzvfKe8rwohxBwmgSshTmKqw4J7XdlMN2NSvN4GsnqU0MBfiUR24HYvxeVaNG3XUxSFK8qC9GWyLLBbp+y8ZWVluN1utm3bRjweZ9++fYTDYerr67FY5Ff0tFMUWHYRJIdywZa9z4AjACVLC3L5XPCqnMgrWzCTJkbUgIiPaHMnilVF89ux+G1YK92Yukm2L0GqNYzi0LDX+o49YToOO38LmUMFiO2eQ4GqZbnAlHbUa7e0PjdNMNoD+/8AgQ/n+mMEpmmCbmLqBmbWhEN/m7pxaLuJ5reheWzQtQ2aHgPTyBXBX3MNeCuOnExRYMm54CqCXU+iJoco3W+hlSR+1Ynu3YLXs46qmnbS3X+hnTTYPFDaCGYu61FVrWgWD9lsBPPQtEfTyJJJD5BJD+QvZZgG6bSTysrlJ/YPNcc1NTXxsY99bNi2QCBAZWUlTU1Nox5XU1PDRRddxF133cWKFSuoqanhiSee4KmnnuKBBx4Ydv76+vphxyqKQn19/ZjnF+JEmaZJ+NFH6f7mt9D7+o48oaoUffhDlPzDP6B5PDPXQCGEEFNCPhUJIeasgH898dg+UqluevuepXrBh/JTrCYqne5HVe1YLKMPcB2aSrV2YlMqTdMkmWwnGt1BNhvF5VqE272c9evX09TURG9vL729vcRiMVatWoVHBtzTT1Vh1RXwxn9DrA92/BrWfWh4sGUaxdN7SVQ0YRly4MwsREvYMbMGZsYg25cg25c4tKeJPpgL3CR3hdDcVizFb5qyuv8PuaCVZoE1HwB/9YjBKFM3SbUMYSQ3YHa8DO0ZGNqK6SwFMxeIwjTBMDENMxesOg5FAau9A0fqjyiakQtMrbkml8U2kspTwBEg++qjpA56CRAnW76f6oWlaNYdpLp2AybY3KiVp+Jw1+FwLMDhWIDdXoaiaJimia7HyWaHyGYjZDJDh34Ok8mGyaSH0FRZdTAUChEIBI7ZHgwGGRgYOPaAozzyyCO8//3vZ9WqXNF/TdO49957ueqqq6bk/OFweFgR987OTgB0XUfX9TGPnShd1zEMY8rPK0Y23f2dbm6m+//eSeLll4dtd5xyCmVf+QqOhvp8O04W8hovPOnzwpL+Lrzp7POJnFMCV0KIOUtRVEpLL6S9/Wfo2Rj9A3+grPTiCZ8nEtlOb+8zKKqF8rJLpyVzK5MJE43uIBLdSTZz5ENaInGA/oE/43LWUbdwBV7vQvbvbyUej/PGG2+wYsUKysvLp7w94k0s9lyQ5fWf5Fa+2/ownHodOEbIappC0dgeenqfAlXBVV5NZeW7URUHRiyDPpRCH0yRHUphxLOAguq1k+mIYpoQ39qH+/QKNPehLKpwB3Ruzv1c9zYI1Ix4TdM0STYNHFrN0At6GaQi0NYMVT5gotNpTLI9CUh2YRodZLVK7HUWrGvfjWIfPfBqmibpcJCUfj6mugO7rlBpWhnI7EcND+LAh8NVg2PVddg9dSjKsdNzFUXBYnFjsbhHvEY2m6anp3OC9yMOM02Tj370o+zZs4cHH3yQyspKnn76aT796U8TDAb5wAdOvDba3XffzR133HHM9v7+fuxTXEDbMAyGhoaA3HRtMb2mq7/NZJLk//wPyZ8/BNkjC00oXi/Ov/0EtksvJaKqRHp7p+yac4W8xgtP+rywpL8Lbzr7vL+/f9z7SuBKCDGn2WzFBIvOZKD/z0QjTbhdS3G7l4z7+Fismd6+54DcVKOu7kcpKTkXn7fxhNtmGGlisX1EoztIJA4e026rrYh4fD+mkSUe3088vh9VtVO3sJL2g5BOe9mxYwfJZJK6uimsPyRG5vDD6vfBpv+BVDQXvFr34TFXrzu8CuBkxGLN9PQ8CaaB1VZEZeV70bRcBpXmteUWTKjOZQsZaR19MEWmPQqGQbo9hmpTSWzqwb2hEkUDdv8+lyXlKoLq0WsKpQ9EDgWtwFriQgkuR9n/PChDKMWLoagOVCVX9+7w35qCoqkoFjX3syX32FQhuakHenaTjYUxbQqGs4REtp7MliiOetuICz+YukFixwCZrhhYnGhL1uO0vYgWd+OLO1CoRfGUwtprc9MNJ0lRNFRVVg8LBoP5QefRQqHQsLpXb/bYY4/x8MMPs2XLFlavXg3AOeecQ09PD5/97Gfzgauxzl9TM3IA9bBbbrmFG2+8Mf+4s7OTDRs2UFxcTGnp1NYmO/zNbklJCZqmTem5xbGmo7+jf/gDPXfeRba9fdh23xVXUPLZW7CM8Xo+GchrvPCkzwtL+rvwprPPU6nUuPeVwJUQYs7z+9YRj+0jmeykr+9ZHI6qfABgLIlEOz09j+cDBwCZ9AB9vc+iZ+MEAqdPqphrMtlBJLKDWGwPhpHOb1c1Bx73crzeldhsZSiKgmGkDgW3dpJIHMQwUkALZWVZ+voTJBMl7N+foKKiYsqzD8QIfJXQ8G7Y/qtc7aedv80VEx/hG6ZobA+9vU/hsFdQXHwONlvxuC8Tj7fQ05OrA2W1BqiseC+a5hp1f9WmoZa5sBQ7MNI6ZtYk2x1DsWrEt/XhKj2AcnjlwGUX5qYKjiDbnyC1OwSAtdSJc00piloG1k25Iu2ZF6G2ccT7HfF8nVEyu7ZBvBeLEywVxSgL1pLpT5EdTBF7uRNrjRfH4gCKNXdOI54hvqUPPZI+0o7GEhS1Gnb/HrVzM7hL4JQPnlDQShwxUq2poaEhOjs7j6lNdbQdO3agaRqNjcMD+evWreM///M/icfjuFwu6uvr2bp167B9TNNk165dXHjh2Atn+Hw+fL5jMxs1TZuWDyWqqk7bucWxpqq/Mx0ddN11F9Fnnh223b5sKRW3347rtMIsqjEXyGu88KTPC0v6u/Cmq88ncj7JrxNCzHmHpwwqioauJ+jrf+G4x6TSfXR3/w7T1LFYPFRWXEFV5ftwOCoBCIVepL//eUzTGHc70ukBurp+S0fHw0Qi23NBK0XB5VpIWdkl1NbcQEnJudjt5fmAmKra8XpXUll5FTU1HyVY9Fas1gAWi4XSUheKuhvdeIodO39IOLwFXU8cpxXihJWugMXn5n7u2wP7njtml2w2Sl/vs5hGlkTiIO3tDzIw8FcMI3Pc0ycSbXR3P4ppGlisPiorrxyzttrRFE3FdUoploAdLegg0xUj0zFE6pVNR9petHjEY414hvjWPkwTNLcV56qSI6uJLjor93d8ALq3jnj8MedL6yRf3gTRblRNB28luqMB+/IiXGtLUZ0WTBPSbRGif+0g3REl258g+kpXPmjlWOLHeUppLpNL1WDFJbDhE7D+o7nC8mJKXHLJJTzzzDMMDg7mtz388MOoqspFF1006nF1dXXous6WLVuGbX/99dcpKyvD5XLlz79582b27NmT3+fZZ5+lv7+fSy+9dGpvRpxUzEyG/vvvZ99llw8LWikuF2Wf/zyLHnlEglZCCHESkIwrIcS8YLUGKSp6G/39fyQW3U3UvRSPe9mI+2YyQ3R1/RrDSKFqDioqrsBiyU3Jqqh4Lz29TxKPNRMObyWrxygrfSeqOvpKgrqeZHDwFYbCm3MrqQFWWxCvZyUeT/24gxJWq49g4HQC/tNIpbqIRpuIRJKEQj0Mhprp7klj0f6A07UQj6cel3MRqiq/xqdFzQZIDEDHJjj4aq7AePV6IJdJ0tf3XO71o9pQVCt6Nsbg4KvEYrspLj4Xl2vkqZ3pdBc9PX8GdCwWL5UVV+Vfe+OlOiw415RivNaVK+DecoCU1YFq9WE78/wRjzGzBvHNvZgZA8Wq5oJF1qO+u/JVQcmyXKCu5c9QtmrUrK3Dki9vwehtRVEMXGs8xOPLMFIG6ZYwzsYSLEUOUi1h0i1hjLROYvuROgaKRcXZWIy19E1ZZooC7vFnronxuemmm7j33nu54oor+OIXv0h7ezuf//znuemmm6iqqsrvd/7559Pa2srevXsBuPTSS6mtreXqq6/m9ttvp7Kykqeeeoof//jHw+pSXX311dx1111cddVV3HXXXcTjcT73uc9x2WWXsWHD6NNWhRhL/LXX6LrjDlJ79g7b7r3wAsq/+EWslZUz1DIhhBCFJp94hBDzhs+3llhsH8lkO/19z+F0LDhm+pWux+nq+jV6NoaiWqgof/ewKV6qaqW87DL6+18gHN5KPNZMl/5rysvfdcyKhaZpEIlsIxR6EV1PAqBZ3BQF34rH0zCpaYaQKzjtcFTicFTi9Z7BSy/9Fl1vJRqJ4/d7iceaiceaUVU7bvdSPJ56HI4Fk76eGIGiwLKLIDmUm0K39+lcDaySpUSjTcTj+wEoKn4HHvcyBkIvEg5vyQdF3Z7lFBedNaxoeDLZydDQ73G6bNgOZVpZrZMr/m4J2HE2FBNPNJPtCJPNOEim16Im7VjetLCmaZoktvehRzMoCrgaS1DtGpmuGIrTgsV/aArqorOhfy8kw9C5CapHz2LI7Gsms2snAPZaC9q6d2HvSJJoytWtsi3yo7mtOJYEsFW6Se4KkTm0OqLmseJcU3qkqLyYdsFgkGeffZZ/+Id/4IorrsDr9XLjjTdy5513DttP13WyRxW79nq9PPvss3zpS1/in/7pnxgcHGTRokXcfffd3Hzzzfn9rFYrTz75JP/4j//IBz/4QSwWC1deeSXf+973CnaPYv7IDgzQ861vM/TrXw/bbl2wgPKvfBnvOefMSLuEEELMHAlcCSHmDUVRKC29gIPtD6DrSfr6nqes7NJ8QMcwUnR1/YZMZhAUlfKyy/JTA4efR6W4+Fw0zU0o9BLJZAcdnQ9TeVRmVjzeysDAn0in+w8do+H3n0ogcBqqOnox74my251UVZ3KwYNlRKMmCxcWk0juIZloxzBSRCLbiUS2Y7MVU1Hx3lFXVxOToGqw8grY+FOI9cGOX5NdcyX9g38AwOmqw+tZhaIolBSfg9fTQF/fc6RSPcSiu0nEWykqeite72pS6W66e36DaWbRtCAVFe/Fag2cUPNslS50doDHIBMLkqWExOY+3G+pQHUceXtP7Rsi05PANEws5a7clL3NvZiGiaKAs7EEa4UbPKVQthK6t0PrX6BizYiF6c1wH8k/vwSmicWrYnvH5aBZsVZppPYPYaR00i1DOFeV5LrRZcW5thRrfxIjmsZW7c1NDTwBpm5g6iaqTepbjFdDQwPPPPPMmPu88MILx2xbunQpDz300HHPv2DBAv73f/93ss0TAtMwGHz4l/TcfTfG0cX+rVaKb/gYJX/7t6jO49evFEIIMf9IjSshxLxitQYoKno7ALHYXmKx3QAYRpbu7sdIpXoAKC29EJdr4ajnURSFYPAtlJSeD4pCJj1AR8cviMWa6er6LV1dv84Hrdye5VRXf4SiordOadDqsJqaGhRFIZtViEaLqKq8mtraj1FU9LZ8Ufl0up/BoVen/NqzgWFkGRp6g2hsD6ZpFvbiVkdupUGbCzObpm/rdzEyYVTVRmnJ+cOy3Oz2cqqq3k9x8dmoqg3DSNHX9zwdHQ/R1flrDCONqjqoKL8Cm20KVr7q3IjDvR+rO4Glthx9IEU2nCK+qRczm5uymu6KktjRT6Y3jhFKku2Nk+mOYxq5fjRNSGzrI92eW2WQhW8HRYV0HNpfP/aa6TjJZ3+PkTZRNBXHeeeiOHPBXEVTsdXlMsgynTGM+JF6X4qiYC1xYl/oP+GgVXYwSfQvHUT/1J6vlSWEmNsS27fT+sFr6br99mFBK9cZZ7D4N7+m7NOflqCVEEKcxCRwJYSYd3zeNTid1QD09b9ANhult+8pEokDABQXn4XXM/pKWsPP1Uh52eUoqoVsNkp39+/y08Ts9jKqqt5Hedklk57yNR4Oh4OKigoADhw4gK7n6iMFAqdRveBDBAKnAxAJbyObjUxbO2aCaRr09j5Jf/+f6Ol+nL6+p8dVAH1KOQPQeDVRdYh4phu6d1DkP2PE2lSKouL3r6W6+kO43UsBSKW6MYwUmurAH3jnhFYfHFU6Bs1/yGVMrS7CUlGOpdRFtjtONpQksa2P2MYehh7fT6YzipnW0YocgIIlaMfZUITnzEo0ry0XvNrRT/pABFxFUHlK7hptL0ImeeSaepbsS78m3QegYD9tHVpZxbBm2ao9qDYN04RUS/jE7/MopmmSagsTf60bI6VjGibp1qm9hhCisPShIbq++jVa3ncNic2b89u1khKqvv1tan/0X9gXj7zghBBCiJOHBK6EEPOOoiiUlFyIqlox9CTt7Q8Si+ZWuwoETsPvXzeh87ndi6msuBL1UI0rzeKmtPRCqqo+gMNRdZyjp8bhrKtUKkV3d3d+u6Io+P3rUVU7pqkzODRClswcZZomvX1PE4vty2+LRHbS0fELMplQQduSdfvoL81Nw3SmVbwH9oIx+oqTFouX8vLLqKh4N1arH01zUV7+HqyWKSo83vwCZFOgWVFXnI9rbSma34bqs5HpipHujBF/oztXjF1TcSwN4FgexPuOBbhPq8BW7UXz2HCvL0Pz57IEE00DpFrDUPdWUC258x94OXc908Tc/iiJ5lzQUKtdhq1xxTHNymVd5QJ6mc4YRiJ7zD6TYWYNEtv6Se4KYZqgaLlMt0x3HCOlT8k1hBCFYxoGg4/8in2XXErowQeP/D5VFIJ/8zcsefwx/O+6XGo3CiGEAKTGlRBinrJafRQVvZ2+vufR9VxRaK93FcHgWyd1PoejkuoF15JMduByLZqWKYFjcbvdlJSU0NvbS1tbGxUVFahq7rsHTbPj968lFHqZSHgbAf/6Ca9UN9uYpkl///NEI00A+Hxr0DQnocFXSKf7aG//OSUl5+PxLC9IW/r6nsNw+lGLl1Pab0fp3wvNz8HSC0Y6ABIhCLXgGmzDGRqEbAqz4zekMyoM1oG7KLdSoSOQy+jSJlCofOggdG7J/bzw7eDwoQHOVSUYm3owswbpAxEUTcFS5MDz9gXYKkde2VKxarjXlRPf1EN2MEVydwiMAPYF6+DAq7kVFatPg4OvkmrqxMj4UII1OM88BUUd+QOlrdpLujWMkTZItYZx1p/YtEg9liGxpRc9mguaWUudOOqLiL7YgZk1ybRHsC8OnNA1hBCFk9y5k66vfo3Exo3DtjtOWUPFV27D2bhqhlomhBBitpLAlRBi3vJ6VxOLN5OIt+JyL6ak5LwT+vbWYvHi8RybZVIodXV19Pb2kkgk6O3tpby8PP+cz7eOoaFNGEaKwaHXKSk+Z8baeaJM02Qg9BfC4a0AeL0NFBefg6Io2O2V9PY+ia4n6el5gmSqg+Kid6Ao01ekOxrdQTzeAkDxomux2Nugc3MusOMMwoL1kBiEwVYItcJgG6SOTNk8/IozEwNYYnGUbF+ujtTR7J5cEMtdAu7SI39sw1fFxDBg9+9zP7tLoPr0/FPWMhfOpUESAEEHaAquxpJRg1b59llVXOvKiG/uJTuQJLl3ELOmEbu6CUXPwJaHyPaESA+Vg7sU2ymr0XyjB24Vi4qt1kdy7yCZ9ij2hb5hxeInItMTJ7G9HzNroChgXxzAtsiXq5lV6SF9IEL6YBTbQv+ogTQhxOygh8P0/uu9wzOsAC0QoOxzn8V/5ZUoqkwGEUIIcSwJXAkh5i1FUSgvu4xUqguHYwHKm4MFc4zX66WoqIiBgQHa2tooKyvLB+KOzbo6DYtl7IDFbDU4+ApDg7kpj27PMkpKLsjfp8tVx4IF1+aCVslOwkObSaW6KS+7dFqyzLLZCP39fzx07YV4vKtgeQMkhyDUAnuehraXc4/fTLNCoBYCdeDwYcYGyHS3gs2AVDj353Cx+VQ092fo4PBz2NxHBbJKcteJ5hYYYNmFuZUPj959kQ8jkSHdEcO+yIetanyvAcWi4lpbSnxLH9m+BKkDKbBvwG7+BYa6SfZWYjr8aLUN48pustV4SbWGMTOHsq5WTCzryjRMUs2DpPbnalgpVhXX6hIsxUeKM9tqvKQPRDBSOpnuOLZKWVFTiNnINE2GfvMbur/9HfS+viNPKAqB919D2ac/jRYIzFj7hBBCzH4SuBJCzGuqasXprJnpZkyZ2tpaBgYGiEaj9Pf3U1JSkn9ueNbVa3My62poaCOh0EsAuFyLKCu9+JiAo8XipbLyKgYG/szQ0CZSyS7a2x+ktPTiMVeKnKhcja1nD60GaD+SsadosOq9sPGnEOs7ErTSLOCvORKs8lYMDyzpOinnEszSUtA0MPTcsYlQLmMrEYJYb+5POpY7Jh3L/Qm1DG9cWQMEj71XRVFwrirBviyIaptYFpqiqbjWlJLY1kumJ0EqsQAzWo5iJtFNH0rZShyNpfn6UmOey6LmglfNQ2QOHsq6so9vyGGkdRLb+sj25wrDaz4brjWlqM7hx2tuK9YSJ5m+BOkDYawVLqmHI8Qsozc3c/CWz5J4441h2x2NjVTcfhvO1atnqGVCCCHmEglcCSHEHBIIBPD7/QwNDdHW1kZxcfG8yboKR7bls5uczmrKyi4ZdQqgomgUF5+N3VFFX+8z6HqSru7fEvDniu9r2okvmx6JbicRbwVyK1EOy+iyOmDNNdD6V7B7c8Eqb1UueDVeqpZbxc81QjZSOn4oiNV36O+e3N/ZdG764JLzxj71BINWhymagnN1KWzrI9MdJ209NdeG8hqsdUEsAce4z2Wv9ZJui+RqbrVGcCwPjrm/aZpk+xIkm0IYyVxRd9sCD44VRaMGy2w1XjJ9CfShNHo4jcVvH//NCiGmjR6J0POv9xJ+4IHh0wL9fkpvuYXA1VehaNM3xVsIIcT8IoErIYSYQxRFoba2lq1btzI0NMTQ0BCBo6ZYzNWsq2h0F319zwFgd1RQXn45qnr8guUe9zLsthK6ux8nne5jcPBVBodew24vx+VciMu1EJutbMKZONlshIH+PwG5zC+Pp+HYnRx+WHHJhM47bjYX2OogWHdkm2nmamdptlzgbJooqoKzsQRF7SfdCTiDqE4LjqWBiZ3HquWyrvYPkT4YwbbQN2pATR9KkdwTIhtK5dvgqC/CtmDswKtW7EBzW9FjGdJtYSyrSyfURiHE1DJNk/Cjj9L9rW+h975pWuDVV1N6y2ewBMcOYgshhBBvJoErIYSYY4qLi/F4PESjUVpbW4cFruZi1lUs1kxP71NgmtjspVSUvwdVHX/mjNUapKrqGgYG/kQ4sh1Mg1Syi1Syi1DoJTTNicu1EKdzIU5nLZp2JOhjGGky2TDZzCCZ7BDZzBCZzCDpdN+xUwRnmqKAw1eYS6kKjlXFKHaNbG8Cx8oiFMvEa8TZar2kD4Qxsybp1jCOZcM/sBrxDMl9g2S64vltloAdx4qiMQvA59upKNhqvCSaBsh2xzGWZSddCF4IcWKSu3fT/dWvEX/ttWHb7atWUnnbbThPOWWGWiaEEGKuk9GdEELMMYezrnbs2MHAwADhcBif70hAYy5lXSUSbfT0PAamgdUWpLLiimGBpfFSVSslJedRVPQ2EokDxOMtxBMt6NkYup4gEtlJJLITFBWHvQKATHYIPRsb87zFJefM+sDfdFEUJRdoWjb57AjVpmGr9pJqCeeyrupyWVdmRie1P0z6QATTyBWo11wW7MuCWEqdEwoUWivdJPcNYmYM0gejE84ME0KcGD0ape/7/8bAT38Kup7frvp8OG64gQUfvR6L7fiBaCGEEGI0ErgSQog5qLS0FKfTSSKRoK2tjcbGxvxzcyXrKpFoo6vrt5imgcXqo7LivWia64TOqap23O6luN1LMU2TdLqPeKKFRLyFZKoTTINksuPYAxUVi8WD1RLAag1gtfqxO6ryQS4xebY6Xy5AlTVJt4RR7Bqp/UOYmVzdG9WmYV/sx7rAg6JOPLNNsajYqjykWsNk2iPYF/nHVUBeCHFiTNMk/Njj9Hzzm2R7e4c957/6Koo/9SlCui61rIQQQpwwCVwJIcQcpKoqtbW17Nq1i76+PmKxGG63O//8bM+6OhK00nOrBFZcObz4+RRQFAW7vRS7vZRg4HR0PUki0UYyeRBFsWCx+rFa/FitASwW76iF4MWJyWddtYZJtYbz2xVNwVbrw77QN6lpiEezVXtIt4Ux0gaZrthxa2MJIU5Mau9eur72f4m//PKw7faVDVR85Su41q1D13V4U0BLCCGEmAwJXAkhxBxVXl5OS0sLqVSKtrY2Fi1aRDqdzv9JJCqIRt+gt/c52lpt6LqV2tpaysvLZ7Td8Xgr3d2/OxK0qrwKq9U/7dfVNAcez3I8nuXTfi0xXD7ryjBRFLBWerAv8U9ZPSrVZcVS6iTTkyB9IIK1yj076pIJMc8YsRi9P/gBAz/5b8hm89tVn4/ST/0jwQ98QDKshBBCTDkJXAkhxBylaRo1NTXs3buXrq4uurq6hj1vmi4ggUkGhddRlEZ27dqFz+fDNkP1RmYqaCVmlmrXcK4pIdufxLbAg+ad+tefrcZHpieBHkmjD6awBKdv5UUhTjamaRJ58km6v/FNst3dw57zv/e9lH3us1iKi2eodUIIIea7E8vNnyWefvpprr32WpYsWYKiKNx8883jOq6lpQVFUY75c8YZZ0xzi4UQYmpUVlZitw9fgU9RFGw2Gx5PAK/3FDxuDz5/CIsli67r7NmzB9M0C95WCVqd3KylLpz1RdMStALQgnY0rxWAdFtkWq4hxMko1dxM28c+RvtnbhkWtLLX11P34ANUff0uCVoJIYSYVvMi4+rJJ59k8+bNnH322QwMDEz4+Lvuuotzzz03/9jrndo6K0IIMV0sFgvr168nFothtVqx2WxYrVZUNfe9hK6fwoEDP8IwUui+KAcPBujv76e3t7egU6kkaCWmm6Io2Gp8JHb0k+2NYySyYJPpgkJMlh6N0X/f/6P/J/8NmUx+u+rxUPqpTxH84AdQLPPio4QQQohZbl6823z729/mu9/9LgDPPffchI9ftmyZZFkJIeYsu91+TNbVYUevMKhZ2gkEKhgcTLJ3714WLVpUkPbF4y10dz+aC1pZfVRWXClBKzEtrBUukntCmBmD9MEI1sW+mW6SEHOOaZqEH32Mnm9969jVAt/zHso+/zksJSUz1DohhBAno3kxVfBwZoEQQohj+XzrUFU7mDrFxZ0oikkmk+HgwYPTfu1jg1aSaSWmj6Kp+RUF0+1RzKwxwy0SYm5JNjXR+uEP0/H5zw8LWtmXL6fuf35K1Te/IUErIYQQBScRH+CTn/wkmqZRVlbGxz/+8UlNNxRCiNkql3V1KgDZ7AGKipswSdLb28vg4OC0XXfkoJVkwIjpZavxoihgZgwyXfGZbo4Qc4I+OEjXV7/G/iuvIvHa6/ntqs9H+Ze/zKJH/hfXaafNYAuFEEKczObFVMHJstvtfPKTn+Tiiy8mEAjw8ssvc+edd/Laa6/xyiuvYLVaRz02HA4TDofzjzs7OwHQdR1d16e8rbquYxjGtJxbHEv6u/Ckz6eX17sOXU8xOPQaTmcSq+VFYBlNTU1s2LBhyjNXk8lOurp/h2lmsVh8lJVdgaq6T+p/35P9Nb53714GBgZYsGABVVVV01djzaqgljjI9sRJtQ2hL9am7X1ZiLnO1HUG//d/6f3ePeih0JEnFIXA1VdR+pnPYCkqmrkGCiGEEMzSwNXQ0FA+EDSWxYsXn9CS7pWVlfzgBz/IPz777LNZtWoVl19+Ob/61a+45pprRj327rvv5o477jhme39//6i1Zk6EYRgMDQ0BMjWyEKS/C0/6vBCWYdFUIpE/4XQqDIX/ykAozpYtDhYsWDBlV9H1KKHQbzCMJKrmJhg4i8FQCug97rHz2cn8Go9EIuzevRuAvr4+9uzZQ21t7bQthmK6MhixOGbUJGrPFW6f6j7v7++f0vMJUWiJzZvp+tr/Jblt27DtjjVrqPjKl3GuXj1DLRNCCCGGm5WBq4cffpiPf/zjx91v586d1NfXT+m1L730UtxuN6+//vqYgatbbrmFG2+8Mf+4s7OTDRs2UFxcTGlp6ZS2CY58s1tSUoKmaVN+fjGc9HfhSZ8XSimp1CK6uh8lkUiQzuxkaCjL0qUfwuM58SCCYaTp7HoGh1NFVfxUVr4Pm03qocDJ+xo3TZP29nbcbjeadiT76cCBA5SVlbF48eIp/8LHLDFJ9KtkhlIoscy09HkqlZrS8wlRKNm+Pnru/h5DjzwybLtWVETZZ2/B/973opxkwXUhhBCz26wMXN14443DgkKzkc/nw+c7tlaLpmnT9oFEVdVpPb8YTvq78KTPC8PlqmLBgg+QiP+M3r7d6Ppeduz4MaeffhMWi2PS5zVNk96+Z8hm+lFVjfKyS3E6y6ew5XPfyfga7+vrIxwOoygKq1atQtM09u7dSzQapbe3l4GBARYuXEh1dfWUZkXZ6/zo2/pQVBVVUae8z0+mf0MxP5iZDKGf/Yzef70XIxo98oSmEbz2Wkr/4Wa0Eca2QgghxEyblYGrmfToo48Si8U4/fTTZ7opQggxbSyam6Kiy7DZimk78GfiiRZ2Nv0HK5Z/CJttcvVMQqG/Eo81A1AUfCtu9+KpbLKYg0zTZP/+/QD4/X6Ki4tRFIX169fT0dHB/v37yWaz7Nu3j87OTpYtW0bRFNXTsZa7cfusJKMhFHWa6mkJMUfEXnqZ7jv/L6k9e4dtd51+OuVf/jKOFctnqGVCCCHE8c2LwFVrayuvvvoqAPF4nH379vHLX/4SgKuvvjq/n8Vi4brrruP+++8H4LOf/SyqqnLGGWcQCAR45ZVX+PrXv85pp53GFVdcUfD7EEKIQlIUC4sWXUE0phIa+DN9fS04HQ9QVXU5LteiY/Y/XKOpv7+faDTKokWL8Pv9AESiTQwOvgaAx1uP37++oPcijmhvb6elpYWlS5dSXj6zGW89PT1ED2V2LF68OF+QXVVVqqurKSsro7m5mc7OTuLxOJs3b6a0tJSlS5ficEw++w9A0RRUpwWix99XiPkq09lJ97e+ReSJJ4dtt5SXU/5Pt+K95JLpWyhBCCGEmCLzInD1/PPP89GPfjT/+Mknn+TJJ3Nv0KZp5re/ecW/lStX8oMf/ID/+I//IB6Ps2DBAm644QbuuOMOLJZ50TVCCDEmRVFY2XAZL79sks2+TG9fJ6r6W9ye5RQXvR3TdDAwMEB/fz/9/f1ks9n8sclkkg0bNpBOd9PX+wwADkclJcXnywehGZJKpdi3bx+6rtPU1ITb7cbj8cxIWwzDyGdbFRcXEwgEjtnHZrNRX19PZWUle/bsIRKJ0Nvby9DQEGvWrDmh4u26rrN7925cLtekzyHEXGWk0wz814/o+/d/x0wkjjxhtVJ8/fWU3PS3qG73zDVQCCGEmIB5EZ25/vrruf7664+739FBLIAbbriBG264YZpaJYQQc4Pdbmfp0jNparKTiL9KOBJmKPwq+/b9hVSyGtNcgqIcebtwuVzE43ESiQQHD+7B5I+Ypo7F4qW8/HJUdV68tcxJ+/fvz39BYxgG27dvZ/369TPyZUxnZyeJQx+YFy06NoPvaH6/n1NPPZWuri727t1LOp1m06ZNNDY2EgwGJ3ztZDLJtm3bCIfDmKZJZWWl1KQSJ43ICy/Q/fWvk2ltG7bdfdY7KP/CF7Af5/+jEEIIMdvIpwshhBBUVlbS3b2AUMjJQH8LsAuTNNCEorTh8b6F8rJ1lJSU4HK52L59O93dHexv+QULqjxYLHbKK96Npkl2y0yJRCJ0dXUBUF5eTk9PD/F4nF27drFy5cqCZsFls1laWlrybRlP5pSqqlRVVeHxeNiyZQuZTIYtW7awcuXKCa3WOzg4yPbt20mn0wAEg8EpLfouxGyVbm2l++vfIPrCC8O2W2tqKP/CF/Cce45kwwohhJiTZCQnhBACRVFYvnw5FosVRVmMxXIRwcA6ykrLqakpobioBYvlZTQtAsDChQtB2Ug2208kEqG09J3YbSUTvm4mk6G3t5dYLHZMVqwYP9M02bdvH6Zp4nQ6WbFiRT7Lqaenh/b29oK2p729nXQ6jaIoudfKBPh8PtatW4fD4chnjXV2do7r2I6ODjZv3kw6nUbTNFatWkVVVZV8WBfzmhGP03PPPTRf/q5hQSvF4aD0U//I4kd/h/e8c+X/gRBCiDlLMq6EEEIA4Ha7Oe2000in0/h8PlRVJZ3uo7//jyQSB0gmO2jveAivpwFVteHxRIhEIBxegNVaPeHrGYbB5s2biURywTCr1YrP5xv2R+oNjk9/fz+hUAjIFUHXNI3a2tp8Mf19+/bl+3S6ZTIZ2tpyU5QqKysnVWPK7Xazbt06tmzZQiwWo6mpiUwmQ21t7Yj7G4bB3r178wE6p9NJY2MjTqeT3t7eyd+MELOYaZpEfv97ur/5LbJvCu56L76Y8ls/j3XBghlqnRBCCDF15BOBEEKIPJfLNSzQYLOVUFHxXuLx/QwM/JFMZohIZAcAgUCAeKwIXV9EW1sbS5cundC19u/fnw9aQS7gcbgIPOSywNxuNz6fD7/fT1FRETabbQrucn4xDIPm5mYgVyvq8LQ6RVFoaGjgtddeI5lMsn37dk477TSsVuu0tqetrY1sNoumaRPOtjqaw+Fg7dq1bN26lXA4zL59+0in0yxZsmRY5kg6nWb79u0MDg4CuamBK1euxGazDVuQRYj5JLl7N913fZ34Sy8N225bsoSKL38J95lnzlDLhBBCiKkngSshhBBjygWQFuN01hIOb2Jw8BUMI4PHXUNNzTra2g7S3t5OdXU1DodjXOcMhUIcOHAAgAULFlBZWcnQ0BDhcJhwOEwikcA0TaLRKNFolI6ODhwOBxs2bJAi22/S2dlJLBYDOCaoY7VaWblyJZs2bSKZTNLU1ERjY+O0TRlKJpMcPHgQyP272u32EzqfzWbjlFNOYfv27QwMDHDgwAEymQwrVqxAVVUikQjbtm0jmUwCUF1dzZIlS6SmlZi39MFBeu/9PqGf/xyOCsyqbjclN99M0Yf+BmWag9NCCCFEoUngSgghxLioqoVA4DQ8ngaSyYO4XIvQdYXOzm4ymQwtLS3U19cf9zzpdJqdO3dimiZut5slS5agadqwAt6pVCofxDoc0Eomk3R1dbFgHk59yWazDAwMEAgEJpRVdnQR9LKyMvx+/zH7+P1+lixZwp49e+jr6+PAgQOjTrk7Ua2trRiGgcVimbJrWCwWVq9eTVNTE93d3XR1dZHNZiktLWX37t3ouo6qqixfvpzKysopuaYQs42p6wz+4hf0/su/oh/KLjzM/573UPa5z2KZwCIGQgghxFwigSshhBATYrG48XhWAKCqUFtby759++jq6qKmpga32z3qsaZpsnv3blKpFKqqsnLlyhEzqOx2O6Wlpflpb9u3b6enp4cDBw5QWVk5rzJqYrEY27ZtIx6P43A4WLNmzZh9eLS2tjbS6TSqqrJ48eJR91uwYAGDg4P09vbS3NyMz+cjEAhM0R3kxOPxfBH12traKZ2SqKoqDQ0NWCwW2tvb6evro6+vD8hlZTU2No4YtBNiPoi98grdd95FateuYdsdq1ZR/qUv4Tp13Qy1TAghhCiM+TPyF0IIMSMOTwkzTTNfa2k0nZ2d+WLZS5YswePxjOsah7N3EonEvCq23dvby+uvv048HgdyU+02btzI0NDQcY9NJpPDpls6nc5R91UUhRUrVuB0OjFNkx07dpBOp6fmJg7Zv38/pmlit9uprp54sf7jURSFZcuW5VdLhNwKhOvXr5eglZiXMu3tHPz0Z2j7yHXDglZacTGVd/5fFj78CwlaCSGEOClI4EoIIcQJ0TQtH0zo6+sbNegSj8fZu3cvAEVFRROa8uf1eikuLgZy09FM0zzBVs8s0zTZv38/27ZtQ9d1bDYby5Ytw2KxkMlk2LRp03EDdM3NzRiGgdVqpa6u7rjXtFqtrFq1ClVVSaVS+emaUyESidDT0wNAXV3dtNUhUxSFhQsX0tjYyJIlS1i7du2466oJMVcYiQS9936ffZdeRuTJJ488YbFQ9NGPsuTJJwhcdRXKPMo8FUIIIcYi73hCCCFOWHl5eX56W3Nz8zEBEcMw2LFjRz5IU19fP+EC4YezrmKxWH7lwbkom82ybdu2fG0qr9fL+vXrqa6uZt26dTgcDgzDYPv27flC528WDofp7u4GYOHCheOeluf1elm2bBkAAwMD+TacqMOZdk6nsyB1pkpLS6mtrZVC/WJeMU2T8BNPsO/Sy+j7t3/DTKXyz7nPegeLf/tbyv/pVrSj6gEKIYQQJwMJXAkhhDhhqqrms64GBwcZGBgY9vz+/fuJRCIArFixYlKrzQUCgfyUsLmadZVIJNi4cWO+PlN5eXk+WAXg8XhYt24dHo8H0zTZs2cP+/btG3avpmmyb98+IBcoqqqqmlAbKisrKS8vB6ClpYV9+/ZhGMak7sc0TVpbW/P/3osWLZpX9ceEKJTkzp20ffgjtH/mFrKHasUB2OrqqL7v/1H7H/+BffGiMc4ghBBCzF8yuhRCCDElSkpK8Pl8wPCsq1AoNKwWU0lJyaSvcXhKXDgcZvBNK2vNdv39/ezcuZN4PI6iKCxdupSGhoZjsoYcDgdr164lGAwCuQLsO3fuzAeX+vr68ve+ZMmSCQeKFEVh+fLl+eLsbW1tbN++nWw2O6HzZLNZduzYkc+28vv9lJWVTegcQpzssqEQnbf/M/uvupr4a6/lt6tuN2Wf/xyLf/dbvOecM3MNFEIIIWYBCVwJIYSYEoqi5Fe2i0ajdHd3k8lk8rWU3G43S5YsOaFrFBUV5Qu6t7W1nXCbC8E0TVpaWvL1rKxWK2vWrKGmpmbU6ZKH9zmcGdXd3c2WLVtIp9P5QFEgEJh0ENBisbBmzRoqKiqAXDBs48aNJJPJcR1/OHPscF2r0tJS1qxZM+Hpn0KcrMxMhoH//in7Ln4ngw89BEdlPfrf+16WPPkExTfcgGKzzWArhRBCiNnBMtMNEEIIMX8Eg0GKi4vp7++npaWFvr4+UqkUqqqycuXKE65JpCgKdXV1bN++nYGBAcLhcD7LazYyTZOdO3fm61G5XC5OPfXUfD2wsaiqSkNDA3a7nba2NkKhEK+88gqZTAbIZVudSKBI0zTq6+txu900NzcTjUZ5/fXXaWxsHHOVvoGBAXbs2EEmk8kXS6+rq5OglRDjFPvrX+m66y7Se/cN2+44ZQ0VX/oSzjVrZqhlQgghxOwkgSshhBBTatGiRQwMDJBIJEgkEgAsXrw4nyl1okpKSnC5XMTjcdra2mhsbJyS806H7u7ufNCqtLSUoqKiCa2CpygKS5YswW63s3fv3nzQqry8fEoCdoqiUFtbi9PpZOfOnaTTaTZt2kR9fX0+2+sw0zQ5cOBAfhqoxWKhoaHhhKZ+CnEySR84QPc3v0n0mWeHbddKSyj77Gfxv/vdslKgEEIIMQIJXAkhhJhSXq+XsrKyfMCmqKiI6urqKTu/qqrU1NSwa9cuent7icVi48pgKrRMJpMvol5UVERDQ0O+KPtEVVdXY7fb2bFjB5qm5QvhT5XS0lIcDgfbtm0jmUyyY8cO4vE4CxcuRFEUstksu3btyk8NdLvdNDY24nK5prQdQsxHRixG3w9/yMB//Qgznc5vV6xWiq6/juK/vQnNM/t+hwkhhBCzhQSuhBBCTLnDWVeqqlJfXz/l08gqKipoaWkhlUrR1tZGQ0PDlJ5/KrS0tJBOp1FVlWXLlp1wH5SWlvK2t70NwzCwTUPdG6/Xy6mnnsq2bdsIh8O0tLQQj8epq6tj586dRKPRfDvq6+uxWGQIIcRYTNMk/Oij9Hznu2QPBfIP85x3HuX/dCu2QwtOCCGEEGJ0MuoUQggx5ZxOJ2eccQbAtAQ4Dmdd7d27l+7ubhYuXIjT6Zzy60xWJBKhvb0dgNraWlwuF7qun/B5pztYZLfbWbt2Lbt27aK7u5uenp58lpXUsxJi/BLbttN9550kNm4ctt22eDHlX/gCnne8fYZaJoQQQsw9MpFeCCHEtLBYLNMaaKmsrMRqteZrL80WpmmyZ88eTNPE4XBQW1s7002aEE3TaGhoGDYd0WKx0NjYmJ86KOaepqYmLrzwQtxuNxUVFdx6662kj5q2NpIXXngBRVFG/FNfX3/c/T7wgQ9M923NOtm+Pjq+/GVa3ve+YUEr1eul/Av/h8W/+bUErYQQQogJkowrIYQQc5LFYqG6upr9+/fT2dlJXV0ddrt9pptFV1cXQ0NDACxbtuyEV1KcCYezqzweDwMDA1RXV0s9qzksFApx3nnnsWzZMh555BHa29u55ZZbiMfjfP/73x/1uFNPPZUXX3xx2LZwOMwll1zCJZdccsz+P/rRj4YFtE6mwv1GOk3ov/+bvv93H0YsduQJRSFw9dWUfubTWIqKZq6BQgghxBwmgSshhBBz1oIFC2hra0PXdQ4ePMiSJUtmtD2ZTIbm5mYAiouL5/wH95KSkjl/DwLuu+8+wuEwv/rVryg6FDzJZrP83d/9HV/84hepqqoa8Tifz5ef8nvYj3/8YwzD4Nprrz1m/8bGRk477bSpv4FZzDRNIs88Q8+3vk3mTZmfzvXrKf/iF3CuWjVDrRNCCCHmB5kqKIQQYs6yWq0sWLAAgI6ODjKZzIy2Z//+/cMKsgsxGzzxxBNccMEF+aAVwDXXXINhGDz11FMTOteDDz7IsmXLOP3006e6mXNOsqmJtus/Svs//OOwoJWlspKq73yHuv/5qQSthBBCiCkggSshhBBzWnV1Naqqks1m6ejomLF2hMPh/PXr6upmVbF4cXJramoaNoUPIBAIUFlZSVNT07jP093dzXPPPTdithXApZdeiqZpVFdX8/nPf55EInFC7Z6tsv39dN52O/uvvIr4yy/ntytOJyX/+A8sefwx/JdfJvXghBBCiCkiUwWFEELMaXa7ncrKStrb2zl48CDV1dUFryt1dEF2p9NJTU1NQa8vxFhCoRCBQOCY7cFgkIGBgXGf56GHHkLX9WMCV36/n1tvvZWzzjoLp9PJc889x3e+8x127tzJo48+OuY5w+Ew4XA4/7izsxMAXdenZCXOo+m6jmEYkz6vkU4z+MADDNz37xjR6LDnvO9+FyWf+hTWigrMQ9c62Z1of4uJkz4vPOnzwpL+Lrzp7POJnFMCV0IIIea8mpoaOjo6SKfT7N27l+XLlxc026GzszP/4XuuFmQX4ngeeOAB1q9fz/Lly4dtX7duHevWrcs/Pu+886isrOTmm2/mlVdeYcOGDaOe8+677+aOO+44Znt/f/+UL7ZgGEZ+4QRVHf+kA9M0yfzlLyR+8P8w3pTVqa1cievmv8eyciWDAL29U9fgOW6y/S0mT/q88KTPC0v6u/Cms8/7+/vHva8EroQQQsx5TqeTBQsWcPDgQTo6OrBYLAUr1J5Op/MF2UtLSykuLi7IdYUYr2AwmB90Hi0UCg2rezWWffv28corr3D33XePa/9rrrmGm2++mddff33MwNUtt9zCjTfemH/c2dnJhg0bKC4uprS0dFzXGq/D3+yWlJSMO7ic2r2b3m9+i/hLLw3bbqkop+Qzt+C97FKZEjiKyfS3ODHS54UnfV5Y0t+FN519nkqlxr2vBK6EEELMC0uWLCGdTtPT00NbWxsWi4W6uroJn8c0Tbq6uohEIvj9fgKBwJiZH/v37yeTyaBp2oyvaijESOrr64+pZTU0NERnZ+cxta9G8+CDD6KqKh/4wAemtG0+nw+fz3fMdk3TpuVDiaqq4zp3dmCA3n/9VwZ/8TAYRn674nBQfOONFN/wMVSpY3dc4+1vMXWkzwtP+rywpL8Lb7r6fCLnk8CVEEKIeUFVVRoaGshmswwMDNDc3IzFYsmvOjge2WyW3bt3093dDUB7ezsAbrebYDBIMBgkEAhgseTePg9/+AcpyC5mr0suuYS77rqLwcHBfK2rhx9+GFVVueiii8Z1jp/97Gecc845VFZWjmv/n//85wBzbvVBM51m4H8eoO8HPzimjpXvXe+i7LO3YK2omKHWCSGEECcnCVwJIYSYN1RVpbGxkc2bNzM0NMSePXuwWCyUl5cf99h4PM727duJHvqw6nQ6SSaTmKZJLBYjFotx8OBBFEXB6/USDAbp7+/HNE1cLhfV1dXTfXtCTMpNN93EvffeyxVXXMEXv/hF2tvb+fznP89NN91EVVVVfr/zzz+f1tZW9u7dO+z4jRs3snPnTj772c+OeP4PfehDLF26lFNPPRWHw8Fzzz3H9773Pa644gpOO+20ab23qWKaJtHnn6f7m98k09o27DnHKWuo+MIXcK5dOzONE0IIIU5yErgSQggxr2iaxurVq9m8eTORSISdO3eiaRolJSWjHtPX18fOnTvJZrMoisLChQupq6tD13WGhoYIhUKEQiGi0SimaR6zEpoUZBezWTAY5Nlnn+Uf/uEfuOKKK/B6vdx4443ceeedw/bTdZ1sNnvM8Q8++CB2u52rrrpqxPOvWrWKBx54gO9+97ukUikWLVrEF7/4Rb7whS9My/1MteSu3fR88xvE/vrisO2W8nLKPvdZfJddhiJFgIUQQogZI4ErIYQQ847VamXNmjVs3Lgxn0m1Zs0agsHgsP0Mw6ClpYXW1tb8cQ0NDfkC6xaLheLi4vzjdDrN4OBgPpCVSCSorKwcd4FrIWZKQ0MDzzzzzJj7vPDCCyNu//a3v823v/3tUY/7whe+MGeCVEfLDgzQe++9DD70i2PrWN1wQ66Olcs1gy0UQgghBEjgSgghxDxls9k45ZRT2LhxI8lkkq1bt7J27dp8Ieh0Os3OnTsZGBgAwOv1smrVqjHrVNlsNsrKyigrKwNyNbEk00qIucVMZ+h/6Kf0/dsPMCKRYc/5Lr88V8dqnLW8hBBCCDH95nzes67rfOtb3+Kss86ipKSEoqIizj33XP70pz+N6/ihoSFuuOEGioqK8Hq9XH311flCu0IIIeY2h8PBKaecgs1mQ9d1tmzZQjQaJRwO8/rrr+eDVpWVlaxbt27CxdUtFguKokxH04UQU8w0TdJ/fZGW976Xnm98c1jQyrFmDXU/e5AF3/m2BK2EEEKIWWbOB64SiQRf//rXWb9+PT/5yU948MEHCQaDnHvuuTz33HPHPf79738/Tz31FPfddx8PPPAAu3bt4pJLLhmxxoMQQoi5x+VysWbNGiwWC5lMhs2bN+ezsFRVZcWKFdTX10vmlBDzWGrPHto/8QliX/wimZaW/HZLWRlV3/wGC3/+M1zr1s1cA4UQQggxqjk/VdDpdNLc3DysbsmFF15IY2Mj3/ve9zjvvPNGPfbFF1/k97//Pb///e/zy0GvWLGChoYGHnnkEa655pppb78QQojp5/V6WbNmDZs3byadTgO5bKxVq1blpw4KIeanTHc3zVdeBZlMfptit1N8w8covvFGqWMlhBBCzHJzPuNK07Rjiu1qmsaaNWvo6OgY89gnnniCQCDAhRdemN+2YsUK1q5dy+OPPz4t7RVCCDEz/H4/jY2N2O12SkpKWL9+vQSthDgJWMvL8V9+ef6x95JLWPLE45T+4z9K0EoIIYSYA+Z8xtVIstksL730Eu94xzvG3K+pqYkVK1YcU5+koaGBpqam6WyiEEKIGVBUVMSZZ54pdamEmOXaBuJkHLERnwu6rARctvzjAwNxsoY56rncdo3ST3+a9MGDWK77CMqpZ3LQAPpGPr/dolIVOFLvrj+aIpwcvYSEpijUFh8JgA0lMgzE0qPuD1Bb5EJTc7+HEmmdrnByzP0r/Q4c1tx05oxucDCUGHP/Eo8Nr8Oaf7x/lHs9LOC0EnQf6dODoTgZfew+LfM68o+7w0niaX3YPrquMxBKElViOO1WFkygT1UF6ord+cfhZIb+6Nh9WhN0YtFy38lPtE+zusGBCfZpS1+M0XsI/E4rRRPpU5tGme9In/aEk8Te1KdHs2oK1cEjr7uBWJqBaDLf52+e/q4AC0uO9GkkmaFvAn2azOh0Do3dpxU+B07b+Pu02GPDd1SftvbHGOO/Mj6HhWKPPf+4fTBBOmuMur/LplF+dJ9GksRS4+/TUCzNYCIz6v4AtcEj5x9Pn1YHnVgn2ae6YdI2EB9z/yK3Db/zSJ+29cfRzdE79c192jGYIDVGnzqtGhX+8fepRVWoKTrSp4PxNKH42H266KjXaTSVpTeSyj8++vfK4df4goATmyXXp6msTsfg2H1a7rPjsuXCIIZh0nq8PnXZ8LvG36deh4WSo/q0cyhBMjN6nzqsKpX+I78feyMpoqnRfz++uU+H4hkG4mO/7hYWu/Jj31gqS89RfTqSqoADuyXXv6msQdsov1cOK/PacdtzfWqaJi39E+vT8ZiXgatvfetbtLe385nPfGbM/UKhEIFA4JjtwWAwX7B3NOFwmHA4nH98uKC7ruvo+uj/eSdL13UMw5iWc4tjSX8XnvR5YUl/F570eeFNZ5/Lv+P0uua+F7H4SkZ87nMXLefm85blH3/4/pfHHCRfdWo1373mFGp+/CN6e3v5P7/ezgu7e0fdf31dkP/95Fvzj7///F5+9JeWUfcvctt44ytHsvd/s6md236zfdT9ATbfflH+w+VrrQN8+P5Xxtz/N3//Nk6pCQDQNZTk3O+8MOb+97x/LVesW5B/fOHdfxgzuPep85fxmQuX5x9/9EevsqcnOur+71lbxb984EhNsC//ehtP7+gedf811X5+e/Pb84///Y/N/Mcfm0fd3+uwsPWfL84/fmxLJ194ZOuo+wO8/uUL8h/ANx0Y5IM/fGnM/X9505mctrAIgL5o+rh9+u2r1/C+02ryjy/5lz+RyIz+e+Dvz13C5y+uzz/++H+/zs7O8Kj7X7q6gh/8zfr843/+3XYe39o16v4NlT6e+NSRL+nv/3Mz//b8vlH3d1o1dn7tnfnHT27r4vO/3DLq/gAvfeH8fJBiW/sQV9/34pj7/+zjZ3DmkmIgF8A9Xp9+/crVfHBDbf7x5ff+mcgYAc1PnLWYL17akH/8yf95nS0Hh0bd/8KV5fzwI6flH9/52E5+s2n0GTnLyjw8fcvZ+cc//msL//LsnlH3t6gKu7525HX67M4ePv3QplH3B/jTrefmgw67uiK859/+Mub+P71hA+9YVgrkgjjH69OvvmcVHzlzYf7xFT/4y5iB9I++bSG3v2tV/vE//Gwjr7eGRt3/3BWl/OijG/KPv/nELv73jYOj7r+w2MULnz83//h/XmrlO0/tHvMeWr5xWf7nP+zq5e8ffGPM/Z//3Dn5YNfeniiX/eufx9z/v64/jfPqywFIZvXj9ulXLl/JDW9flH/8vn//K93h0QM/Hz6jjq9d0Zh//Omfb+Ll/aPHFt6+tIT/ufEt+cfffWoXP3/1wKj7Lwg4+cv/OVIO6eevtvH1J8ZOutlz5yVYtVzg6s97+/jbn74+5v5PfeYslpd7gVxA+ZqfjP2e9u8fXs/FqyoAyBrmcfv0C5fU87dnLxlznzeblYGroaGhca3st3jxYmw227BtTz/9NLfffju33XYb69evH+XIE3f33Xdzxx13HLO9v78fu90+whEnxjAMhoZyv5hVdc7P8Jz1pL8LT/q8sKS/C0/6vPCms8/7+/un9HxCCCGEEGJkimmOkec2Q/7zP/+Tj3/848fdb+fOndTXH/km44033uCcc87hve99Lz/5yU+Oe/w111zDgQMHePHF4d8e/M3f/A379u3jpZdG/6ZmpIyrDRs20NLSQnV19XGvPVG6rtPX10dJSYmsfFUA0t+FJ31eWNLfhSd9XnjT2ecHDx5k4cKFHDhwYFre909WBw8epKamhr9s3kVl1YIR95nMVMEyrwNd1+nt7UW3eUmPPmtDpgoyhVMFBwYoKiqSqYIUcKrgoT6XqYKFmyrY29tLaWkp8YwhUwXfZFqmCr7pNS5TBad3qmA8lWFbc/uIv1cOm+xUwcPv+eMZS83KwNVk7N27l7e97W2sW7eO3/3ud1itx58zedttt/H973+f/v7+YfVO1q9fz+rVq/nxj3887utPpNMn4/Bgq7S0VD7wFID0d+FJnxeW9HfhSZ8X3nT2+XS/75+sprNf5f9gYUl/F570eeFJnxeW9HfhzZax1LyYq9DZ2clFF11EbW0tv/zlL8cVtAK45JJLCIVCPPvss/ltu3fvZuPGjVx66aXT1VwhhBBCCCGEEEIIMQ6zssbVRCQSCS655BL6+vr4l3/5F7Zt25Z/zm63s27dkcKRFouF6667jvvvvx+AM888k4svvpiPfexjfPe738XhcPClL32JNWvWcOWVVxb8XoQQQgghhBBCCCHEEXM+cNXd3c3mzZsBePe73z3subq6OlpaWvKPR1rx76GHHuKWW27hE5/4BNlslosuuoh7770Xi2XOd40QQgghhBBCCCHEnDbnozMLFy5kvGW6RtrP7/dz//3357OwhBBCCCGEEEIIIcTsMC9qXAkhhBBCCCGEEEKI+UcCV0IIIYQQQgghhBBiVpLAlRBCCCGEEEIIIYSYlSRwJYQQQgghhBBCCCFmpTlfnH22yGazAHR2dk7L+XVdp7+/n1QqhaZp03INcYT0d+FJnxeW9HfhSZ8X3nT2+eH3+8Pv/2JqTOd4Sv4PFpb0d+FJnxee9HlhSX8X3mwZS0ngaor09vYCsGHDhhluiRBCCCEKpbe3l4ULF850M+YNGU8JIYQQJ5fxjKUU0zTNwjRnfksmk2zdupXS0lIslqmPB3Z2drJhwwZeeeUVKisrp/z8Yjjp78KTPi8s6e/Ckz4vvOns82w2S29vL6tXr8bhcEzpuU9m0zmekv+DhSX9XXjS54UnfV5Y0t+FN1vGUpJxNUUcDgenn376tF+nsrKS6urqab+OyJH+Ljzp88KS/i486fPCm64+l0yrqVeI8ZT8Hyws6e/Ckz4vPOnzwpL+LryZHktJcXYhhBBCCCGEEEIIMStJ4EoIIYQQQgghhBBCzEoSuJojfD4ft99+Oz6fb6abclKQ/i486fPCkv4uPOnzwpM+F0eT10NhSX8XnvR54UmfF5b0d+HNlj6X4uxCCCGEEEIIIYQQYlaSjCshhBBCCCGEEEIIMStJ4EoIIYQQQgghhBBCzEoSuBJCCCGEEEIIIYQQs5IEroQQQgghhBBCCCHErCSBqxnW1NTEhRdeiNvtpqKigltvvZV0On3c40zT5Bvf+Aa1tbU4nU7OPPNMXnrppQK0eO6bTJ93dnZy6623snbtWrxeL9XV1Vx77bW0trYWqNVz22Rf50e75557UBSFyy+/fJpaOX+cSH+3t7dz3XXXUVpaitPppKGhgQceeGCaWzz3TbbP+/v7uemmm6itrcXtdtPY2Mh9991XgBbPbXv37uWmm25i7dq1WCwWGhsbx3WcvHfOXzKeKiwZSxWejKUKS8ZShSdjqcKaa2Mpy7RfQYwqFApx3nnnsWzZMh555BHa29u55ZZbiMfjfP/73x/z2G9+85vcfvvtfOMb32DNmjX827/9GxdddBGbNm1i8eLFBbqDuWeyff7666/zyCOP8LGPfYwzzjiDvr4+vva1r7Fhwwa2bdtGaWlpAe9ibjmR1/lhXV1d3HHHHZSVlU1za+e+E+nvzs5OzjzzTFasWMF//Md/4PP52L59O6lUqkCtn5tOpM/f97730dTUxF133UVtbS2PP/44n/zkJ9E0jY9//OMFuoO5Z/v27Tz22GO85S1vwTAMDMMY13Hy3jk/yXiqsGQsVXgyliosGUsVnoylCm/OjaVMMWPuuusu0+12m/39/flt//7v/25qmma2t7ePelwikTB9Pp/5hS98Ib8tlUqZdXV15ic/+clpbfNcN9k+D4VCZiaTGbbtwIEDpqIo5ne+851pa+98MNk+P9qHP/xh8yMf+Yh59tlnm5dddtl0NXVeOJH+/tCHPmS+9a1vNbPZ7HQ3c16ZbJ93dnaagPmjH/1o2PazzjrLPO+886arufOCruv5n6+77jpz1apVxz1G3jvnLxlPFZaMpQpPxlKFJWOpwpOxVOHNtbGUTBWcQU888QQXXHABRUVF+W3XXHMNhmHw1FNPjXrcX//6V8LhMNdcc01+m81m48orr+Txxx+f1jbPdZPt80AggMUyPEGxurqa0tJSOjo6pq2988Fk+/ywP//5z/z617/mG9/4xnQ2c96YbH+Hw2F+8Ytf8Hd/93domlaIps4bk+3zTCYDgN/vH7bd7/djmub0NHaeUNWJD1/kvXP+kvFUYclYqvBkLFVYMpYqPBlLFd5cG0tJ4GoGNTU1UV9fP2xbIBCgsrKSpqamMY8Djjm2oaGBtrY2EonE1Dd2nphsn49k9+7d9PT00NDQMJVNnHdOpM91Xefmm2/mS1/6EpWVldPZzHljsv39xhtvkE6nsVqtnH322VitVioqKvinf/qn/KBAjGyyfV5TU8NFF13EXXfdxY4dO4hEIvziF7/gqaee4u///u+nu9knHXnvnL9kPFVYMpYqPBlLFZaMpQpPxlJzw0y+b0rgagaFQiECgcAx24PBIAMDA2MeZ7fbcTgcxxxnmiahUGiqmzpvTLbP38w0Tf7xH/+RqqoqPvjBD05hC+efE+nzH/zgB8RiMT7zmc9MU+vmn8n2d1dXFwA33ngjp512Gk899RSf+cxnuOeee7jtttumq7nzwom8xh955BHKy8tZtWoVPp+Pa6+9lu9973tcddVV09Tak5e8d85fMp4qLBlLFZ6MpQpLxlKFJ2OpuWEm3zelOLsQk/DP//zPPPvsszz55JO43e6Zbs681NPTw2233cZ///d/Y7PZZro5897hgowXXHAB3/3udwE499xziUQifOc73+G2227D6XTOZBPnHdM0+ehHP8qePXt48MEHqays5Omnn+bTn/40wWCQD3zgAzPdRCGEmDYylpp+MpYqLBlLFZ6MpU4eEriaQcFgkKGhoWO2h0KhYfN7RzoulUqRTCaHRTtDoRCKohAMBqelvfPBZPv8aD/84Q/56le/yv3338/5558/1U2cdybb57fddhtr1qzhHe94B4ODgwBks1my2SyDg4N4PJ5jamWIE/u9AnDeeecN237++edz5513snfvXlavXj21jZ0nJtvnjz32GA8//DBbtmzJ9+0555xDT08Pn/3sZ2WwNcXkvXP+kvFUYclYqvBkLFVYMpYqPBlLzQ0z+b4pUwVnUH19/TFzdoeGhujs7Dxm3uibjwPYtWvXsO1NTU3U1tZKJH8Mk+3zw371q1/xyU9+kq9+9at87GMfm65mziuT7fOmpib++Mc/EgwG83/+8pe/8Pvf/55gMMgzzzwz3U2fkybb3ytXrhzzvMlkckraNx9Nts937NiBpmk0NjYO275u3To6OjqIx+PT0t6Tlbx3zl8yniosGUsVnoylCkvGUoUnY6m5YSbfNyVwNYMuueQSnnnmmfw3IAAPP/wwqqpy0UUXjXrcW9/6Vnw+Hw8//HB+WyaT4ZFHHuHSSy+dzibPeZPtc4AXXniBD37wg3z84x/nK1/5yjS3dP6YbJ/fc889PP/888P+nHLKKZxxxhk8//zzbNiwoQCtn3sm2991dXWsXr36mEHs008/jdPpPO5g7GR2In2u6zpbtmwZtv3111+nrKwMl8s1XU0+Kcl75/wl46nCkrFU4clYqrBkLFV4MpaaG2b0fdMUM2ZgYMCsrKw0zz77bPP3v/+9+V//9V9mIBAw//7v/37Yfuedd565ZMmSYdu+/vWvm3a73bznnnvMZ5991rzqqqtMr9dr7tu3r5C3MOdMts937Nhh+v1+s7Gx0fzLX/5ivvjii/k/e/fuLfRtzCkn8jp/s7PPPtu87LLLprO5c96J9Pdvf/tbU1EU81Of+pT51FNPmXfeeadptVrNL33pS4W8hTlnsn0eDofN2tpac+nSpeZPf/pT85lnnjFvvfVWU1VV82tf+1qhb2NOicVi5sMPP2w+/PDD5jnnnGPW1NTkH/f09JimKe+dJxMZTxWWjKUKT8ZShSVjqcKTsVThzbWxlASuZtiOHTvM888/33Q6nWZZWZn5uc99zkylUsP2Ofvss826urph2wzDMO+66y6zurratNvt5lve8hbzr3/9awFbPndNps9/9KMfmcC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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(0)\n", + "M = 10_000\n", + "W_T = rng.standard_normal(M) * np.sqrt(T)\n", + "mc_value = np.exp(-rho * T) * float(np.mean(W_T ** 2))\n", + "\n", + "# valeur déterministe via le primitive (xi = E[W_T^2] = T)\n", + "res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, T, n, T, 0.5)\n", + "y0_pde = float(res['y'][0])\n", + "\n", + "print(f\"Monte Carlo (M={M}) : Y0 = {mc_value:.6f}\")\n", + "print(f\"BSDE primitive : Y0 = {y0_pde:.6f}\")\n", + "print(f\"Écart relatif : {abs(y0_pde - mc_value)/mc_value:.2%}\")\n", + "\n", + "ts = np.linspace(0, T, 50)\n", + "paths = np.cumsum(rng.standard_normal((20, len(ts))) *\n", + " np.sqrt(T / len(ts)), axis=1)\n", + "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", + "for p in paths:\n", + " axes[0].plot(ts, p, alpha=0.5)\n", + "axes[0].set_title(\"20 trajectoires browniennes\")\n", + "axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$W_t$')\n", + "\n", + "tg = np.array(res['time_grid'])\n", + "yg = np.array(res['y'])\n", + "axes[1].plot(tg, yg, lw=2, color='C3', label='BSDE')\n", + "axes[1].axhline(mc_value, ls='--', color='C0',\n", + " label=f'Monte Carlo Y0 = {mc_value:.3f}')\n", + "axes[1].set_title(\"Valeur actualisée déterministe\")\n", + "axes[1].set_xlabel('t'); axes[1].set_ylabel(r'$Y_t$')\n", + "axes[1].legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "10290d98", + "metadata": {}, + "source": [ + "**Résultat attendu.** $Y_0 = T \\cdot e^{-\\rho T} \\approx 0.7408$,\n", + "estimateur Monte Carlo à moins de 3 %.\n", + "\n", + "**Lecture du graphique.** Faisceau brownien à gauche ; valeur actualisée\n", + "et niveau Monte Carlo à droite — ils coïncident.\n", + "\n", + "**Conclusion.** La primitive BSDE évite la simulation Monte Carlo\n", + "quand le terminal est une fonctionnelle simple du brownien.\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/11_pde.ipynb b/examples/notebooks/11_pde.ipynb index 77afc61..1e1d383 100644 --- a/examples/notebooks/11_pde.ipynb +++ b/examples/notebooks/11_pde.ipynb @@ -2,24 +2,25 @@ "cells": [ { "cell_type": "markdown", - "id": "5b95cdf9", + "id": "d78c4190", "metadata": {}, "source": [ - "# 11 — PDE solvers\n", + "# 11 — PDE solvers (Fokker–Planck, Poisson)\n", "\n", - "Fokker–Planck, HJB, Poisson." + "CPU-only finite-difference solvers. Doc page:\n", + "[pde.rst](../../docs/source/algorithms/pde.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "f355a328", + "id": "e2943612", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:01.404135Z", - "iopub.status.busy": "2026-05-12T10:16:01.403772Z", - "iopub.status.idle": "2026-05-12T10:16:02.110007Z", - "shell.execute_reply": "2026-05-12T10:16:02.108701Z" + "iopub.execute_input": "2026-05-12T14:05:20.836605Z", + "iopub.status.busy": "2026-05-12T14:05:20.836332Z", + "iopub.status.idle": "2026-05-12T14:05:21.554858Z", + "shell.execute_reply": "2026-05-12T14:05:21.553141Z" } }, "outputs": [], @@ -27,30 +28,43 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", - "id": "7bd0f13d", + "id": "defeff96", "metadata": {}, "source": [ - "## Pure-diffusion Fokker–Planck\n", + "## Cellule 1 — Diffusion d'une gaussienne (Fokker–Planck 1-D)\n", "\n", - "$\\partial_t m = \\tfrac12 \\partial_{xx} m$ with Gaussian initial density should remain centred and approximately Gaussian." + "**Théorème (Fokker–Planck / Kolmogorov forward).** Pour la diffusion\n", + "$dX_t = \\mu\\,dt + \\sigma\\,dW_t$, la densité $p(t, x)$ vérifie\n", + "$$\\partial_t p = -\\mu\\,\\partial_x p + \\tfrac{1}{2}\\sigma^2\\,\\partial_{xx} p.$$\n", + "\n", + "**Équation pivot (densité gaussienne).**\n", + "$$p(t, x) = \\frac{1}{\\sqrt{2\\pi(\\sigma^2 t + s_0^2)}}\n", + " \\exp\\!\\left(-\\frac{(x-\\mu t)^2}{2(\\sigma^2 t + s_0^2)}\\right).$$\n", + "\n", + "**Ce que la cellule vérifie.** Le primitive\n", + "`fokker_planck_constant(mu, sigma_sq, init_sigma, ...)` reproduit la\n", + "gaussienne analytique pour $\\mu = 0.1$, $\\sigma^2 = 0.16$,\n", + "$s_0 = 0.2$, $T = 1$.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "4199167d", + "id": "211170d1", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:02.113654Z", - "iopub.status.busy": "2026-05-12T10:16:02.113279Z", - "iopub.status.idle": "2026-05-12T10:16:02.515354Z", - "shell.execute_reply": "2026-05-12T10:16:02.513789Z" + "iopub.execute_input": "2026-05-12T14:05:21.558941Z", + "iopub.status.busy": "2026-05-12T14:05:21.558558Z", + "iopub.status.idle": "2026-05-12T14:05:22.231875Z", + "shell.execute_reply": "2026-05-12T14:05:22.230545Z" } }, "outputs": [ @@ -58,45 +72,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "total mass at t=0: 1.0000000000000002\n", - "total mass at t=T: 0.9999999998667097\n", - "mean at t=T: -1.6653345369377348e-16\n" + "Erreur sup |p_num - p_ana| = 6.454e-04\n", + "Masse finale (≈ 1) = 1.0000\n" ] - } - ], - "source": [ - "res = opt.fokker_planck_constant(\n", - " mu=0.0, sigma_sq=1.0, init_sigma=1.0,\n", - " x_min=-8.0, x_max=8.0, n_x=401,\n", - " t_horizon=0.5, n_t=8000,\n", - ")\n", - "x = np.array(res['x_grid'])\n", - "t = np.array(res['time_grid'])\n", - "nx = res['n_x']; nt = res['n_t']\n", - "M = np.array(res['density']).reshape(nt + 1, nx)\n", - "print('total mass at t=0:', np.trapezoid(M[0], x))\n", - "print('total mass at t=T:', np.trapezoid(M[-1], x))\n", - "print('mean at t=T:', np.trapezoid(x * M[-1], x))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ba80f3c4", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:02.519856Z", - "iopub.status.busy": "2026-05-12T10:16:02.519554Z", - "iopub.status.idle": "2026-05-12T10:16:02.912830Z", - "shell.execute_reply": "2026-05-12T10:16:02.911483Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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qV69uLHdZtmxZYxL9tNna2vL1118zdOhQ6tWrx+DBg7G0tGTNmjUcOHCAoUOHZrnK8rBp06ZhaWnJ+PHjSU5OZsWKFdmO9XZ0dOTvv/+mY8eOdO/enV9++YVevXoV2PHztDRu3BhXV1fef/99bty4Qfny5bl06RI//vgj1atXf6Lj1N3dnf/9738MHz6cqlWr8tprr1GhQgXu37/Pli1bGDNmjHFG6YdZWFjwxx9/0KtXL0aMGEFycjKjR49+kt0UQuRCEnshRLHToEEDli9fzieffML48eMpXbo0AwYMYODAgfj6+uarrwEDBuDj48Ps2bNZtGgRUVFRODg4ULFiRcaMGZPnmtrLly/H19eXpUuXMnbsWCpUqMCUKVMoVaoUr7322uPs5iOVK1eOv/76i0mTJvHRRx9ha2tL9+7dmTlzJnZ2dpnajhgxgjVr1rBw4UIiIyOxtbXFz8+PVatW0bNnz1xfx8PDg6NHjzJ16lTWrVvHDz/8QOnSpRk8eDDTpk17rLr6BeX111/Hzc2NWbNmMXPmTNLT0/Hx8eHbb7/lrbfeeuT248aNw9LSkpEjRxIQEMDvv/+epW4+GL5EbNu2jS5dutC3b1+Sk5MZNGhQgR0/T4OdnR3btm1j/PjxfP/996SmplKjRg2WL1/OyZMnn/gL6LBhw6hUqRJffPEF8+fPJzExERcXF5o2bZrtDc4PmJqasnr1agYOHMj7779PYmIikydPfqJYhBDZUylFfZeTEEIIIYQQ4onJGHshhBBCCCFKAEnshRBCCCGEKAEksRdCCCGEEKIEkMReCCGEEEKIEkASeyGEEEIIIUoASeyFEEIIIYQoASSxF0IIIYQQogSQCaryKSUlhXPnzuHs7IxWK2+fEEIIIYQoPBkZGYSHh1O9evVsJ9h7mGSm+XTu3Dn8/f2LOgwhhBBCCPEcOXr0KPXr18+1jST2+eTs7AwY3lxXV9cijqZo6XQ6IiMjcXR0RKPRFHU4opiQ40JkR44LkRM5NkR25Lj4V1hYGP7+/sYcNDeS2OfTg+E3rq6ueHh4FHE0RUun02FmZoazs/Nz/0sn/iXHhciOHBciJ3JsiOzIcZFVXoaAy82zQgghhBBClACS2AshhBBCCFECSGIvhBBCCCFECSCJvRBCCCGEECWA3DwrhBBCCPEMURSFiIgIUlJS0Ol0RR1OoVAUhZSUFJKTk1GpVEUdTqHQaDSYm5vj5ORUYPsoib0QQgghxDNCURRCQkKIj4/H1NS0xFaMUalUmJmZldikHiAtLY2EhARSU1Nxd3cvkH0tNol9YGAgI0eO5ODBg1hbWzNgwAA++eQTTE1N89zH119/zahRo3jxxRfZsGFDpnWhoaGMHDmSbdu2YWJiQrdu3ZgzZw42NjYFvStCCCGEEIUiIiKC+Ph4SpcujaOjY1GHU2gURSEjIwOtVluik/vIyEju379PREREnurUP0qxSOyjo6Np1aoV3t7erF27lpCQEEaPHk1SUhJz587NUx93795l2rRplC5dOsu69PR02rdvD8Cvv/5KUlISY8aM4dVXX83yBUAIIYQQorhKSUnB1NS0RCf1zxNHR0diYmJISUkpkP6KRWI/f/584uLiWLduHQ4ODgBkZGQwYsQIJk2ahJub2yP7GDduHF26dCEoKCjLujVr1nDhwgUuXbqEj48PAPb29rRv356jR4/i7+9fsDskhBBCCFEIdDpdiR1+87zSaDQFdq9EsaiKs3nzZtq0aWNM6gF69uyJXq9n27Ztj9x+//79rF+/npkzZ+bYf40aNYxJPUDbtm1xcHBg06ZNT74DQgghhBBCFLFikdgHBgbi6+ubaZmdnR2urq4EBgbmuq1Op+Ptt9/mgw8+wNXVNc/9q1QqfH19H9m/EEIIIYQQz4JiMRQnOjoaOzu7LMvt7e2JiorKddt58+aRmJjIqFGjCqX/uLg44uLijM/DwsIAwxeKklpiKq90Oh16vf65fx9EZnJcCDDc+HYrMomjN6O4G5fC/bgUouKTcLUPx9nGjAqOljSo6IBdqbwXSBAlk3xm5I+iKKhUKhRFKepQntj69esJDQ1lxIgRWdYpimJ8FCRFUZg1axbff/894eHh1KpVizlz5tCgQYNHbhsYGMg777xjLPTSv3//bAu9LFy4kM8//5zbt2/j4+PDJ598QufOnR8ZV06/A/n53SgWif3jun//Ph999BE///xzvqrn5MecOXOYNm1aluWRkZGYmZkVyms+K/R6PbGxsQCo1cXi4o8oBuS4eL4Fx6Sw+nQ4+27EEBaXlk2LaOP/1CrwK2NJ28r2vFTNCUtTGTf8PJLPjPxJSUnBzMyMjIyMog7lia1bt44TJ04wbNiwLOseTnQLsirO559/zvTp0/n000+pXr0633//Pe3bt+fYsWNUrFgxx+2io6Np3bo1lSpV4rfffiM0NJSxY8eSmJjIN998Y2y3atUqhg0bxoQJE2jZsiWrV6+mW7du7Nq1ixdeeCHbvvV6PampqYSHh2e7PjIyMs/7VywSe3t7e+Mv9cOio6Mzjbv/r48++ogaNWrQtGlTYmJiAMNNtxkZGcTExGBlZYVWq821/7Jly+Ya2+jRoxkyZIjxeVhYGP7+/jg6OhZIWaJn2YNfOCcnJ7mRRxjJcfF8uhgax9zd19l28R4Pn2CzNNVQ3tESRysTtIqOJJ2KiIQ0bkQkolfgwt1ELtxNZOHRu7zqX5Y3mlXE1sKk6HZEPHXymZE/DyZs0mqLRQr3RNRqdY778uBMfUGWu0xJSeHzzz9n9OjRvP/++wC0aNECHx8fvv76a+bNm5fjtj/99FOWQi96vZ633nqLDz74wFjo5eOPP6Z37958+umnALRp04bz58/z2WefsXHjxmz7VqvVmJub55hXpqam5nkfi8VRkd1Y99jYWMLCwrKMjX9YYGAge/fuxd7ePss6e3t7Nm/eTIcOHfD19eXcuXOZ1iuKwuXLl2nbtm2usdnY2GRb616j0cgHEIaDUd4L8V9yXDw/ktIy+Gr7FRbuv4n+n4TeycqMXvU9aOFTmlpl7TDRqNHpdISHh+Ps7IxGoyE2OZ1D1yPYcv4uG86GEZ+SwYK9N/n9ZAgfvVSVl2q4luja1SIz+czIuwe/F8/678egQYNYunQp8O+VmoEDB7JkyRJjG5VKZXwUhEOHDhEXF0evXr2MfZqZmdGtWzfWrl2b6+ts2bKFNm3aZCoz2qtXL9588022b9/OoEGDuHHjBleuXGHWrFmZ+urduzdjx44lLS0tx9EeKpUqx+M/P78XxSKx79ixI5999hkxMTHGsfCrV69GrVbTrl27HLf7+uuvjWfqH3jvvfewsLBgxowZ1KhRw9j/L7/8wtWrV/H29gZg586dREZG0qlTp0LZJyGEKOlOBEXx7srT3IlOBsDD3oK3W1YioLY75ia5/yGytTChQzVXOlRzZXxHX5YcuMXig7eISEjjnRWnWH8qhNmv1MTBUsbgC1ESTZ48mfDwcAIDA1m+fDlAriMh9Ho9er3+kf3mdiXjwUnk/5409vPz4/bt2yQnJ2NhYZHjtoMHD8607L+FXnLrPy0tjZs3b+Z6wrogFIvEfvjw4Xz77bcEBAQwadIkQkJCGDt2LMOHD89Uw75169YEBQVx7do1AGrVqpWlLzs7O6ysrGjRooVxWY8ePfjss8/o3r07n332mXGCqhdffFFq2AshxGP49chtpvx5nnSdgkatYkjTCrzXujIWjzFO3tXWgomd/Ojt78kH685x8Hokfwfep8vc/fzQvx5V3GSGcCFyk5ahJyQmuajDwN3OAlNt3u6T8PLywtnZmaCgoDzduDp9+vRs73n8r9xuto2OjsbMzAxzc/NMy+3t7VEUhejo6BwT+7wUYomONtxD9N92D0aWPKpgS0EoFom9vb09O3fuZOTIkQQEBGBtbc2QIUOM45Me0Ol0j3WziImJCVu2bOGdd96hT58+aLVaunXrxldffVVQuyCEEM+FDJ2eqX9d4JfDtwEo62DB933rUs3d9on7ruBkyfIhL/Dr0dtM/fMCd6KT6f79Qeb0rEnH6tmXMxZCQEhMMi1n7y7qMNg1pgUVnCwLpe9hw4Y9srKMKCaJPRguU+zYsSPXNrt3735kPzm1cXd35/fff3+MyIQQQgCk6/SMWnWaDWcNZX8bV3Jkbp862BfgcBmVSkXfF8rh62LD8F9OEB6fylu/nmT2KzXpVsejwF5HCPFscXFxoXTp0k/Uh729PampqaSkpGQ6ax8dHY1Kpcr2ns2Ht31UoZcH28fGxuLi4pKpDZBrQZiCUmwSeyGEEMVXWoaed1eeYvP5uwD0fcGTaV2qotUUTnnCuuXs+evtJgxcdJTL9+J5f/UZMnQKPevnXslMiOeRu50Fu8a0KOowcLfLfhhLQSiIoTgPxrdfvnyZmjVrGpcHBgbi6emZ4zCcB9s+qtDLg38DAwPx8fHJ1L+pqWmu5TQLiiT2QgghcqXTK7yz4hRbLhiS+tcal+ejzlUKvSqHi605K4Y1oN9PR7gYFse438+iVqvoUVfO3AvxMFOtutCGwBQmU1NTUlJS8tS2IIbiNGrUCBsbG1avXm1M7NPT01m7du0ji6nkpdBLxYoVqVy5MqtXr6Zr167GbVetWkXr1q0Lbc6lh0liL4QQIkeKovDxhovGpH5Ys4pM7Oj71ErtOVia8uvQF+i/8CjnQmKZ8PtZXGzMaeLt9FReXwhRePz8/Fi0aBErVqzA29sbJycnypcvn21bNze3TAVVHoe5uTkTJ05k6tSpODs7U716debNm0dkZCRjxowxttuzZw+tW7dm0aJFDBgwAMh7oZepU6fSt29fvLy8aNmyJatWreLIkSPs3bv3iWLPK0nshRBC5Gjh/pssOXgLgD7+ZZ9qUv+AXSlTfh7sT7fvD3IzIpE3fznB6jcb4usi1XKEeJa9/vrrHD16lJEjRxIZGZmljn1hGD9+PIqiMHv2bMLDw6lVqxZbt27NNEzmway3D5fXzGuhlz59+pCUlMTMmTOZOXMmPj4+rFu3joYNGxbqfj2gUnIbjCSyuHPnDmXLliU4OBgPj+f7cvB/J5wRAuS4KEm2XrjL8F9OoCjQvLIzCwfWe+wx9QVxXARFJtJt3kEiE9NwtTXnj7cbU9ra/NEbimJNPjPy59atWwA5ntkuKRRFISMjo0Bnni2uHvUzzU/uWTh3PQkhhHim3YpIZMxvZ1AUqOJqw3d96xTajbJ5Vc7Rkp8G1sPcRE1YbArvrDhFhu7RE9YIIcTzQhJ7IYQQmaSk63hz+UniUzOwK2XCjwPrYWVWPEZu1va057OXqwNw+EYUX+24UsQRCSFE8SGJvRBCiEym/HGBS2FxqFTwda9ahVrC7nF0q+NBH39PAL7bdZ2/A+8VcURCCFE8SGIvhBDC6M8zoaw6HgzAyJaVaOHzZBPCFJYpL1Whqpvh5tnRv53hflzeSuYJIURJJom9EEIIAO7FpTB5/XkAXqjgwLttKhdMx7oMSAxHExcMKXFQADUbzE00fN+3LpamGmKS0pmw9lyuE9MIIcTzoHgMmhRCCFGkFEVh/O9niU1Ox8pMy+xXaqJRP0YlCkWBkBNwYzcEH4XQk4akHnB+0EatBTtPKPsClPUH73Zgm/8qY56OpZjcuQoT1p7j78D7/HY8mF71PfMfsxBClBCS2AshhGDVsWB2Xw4HYHJnP8o6lMpfB4kRcGoZnFoOkVdzb6vPgKgbhseZFYAKvFpC7X7g1xU0ef/T1Kt+WbZcuMvuy+FM/+sijbyc8h+7EEKUEJLYCyHEc+5ubAqfbLwEQCvf0vSsVzbvG6fEwaG5cHAupCf+u9zGAzwbGM7K25dDZ25HdEIq9hZqNMlRcP8SBB8xPNIS4PrfhodjJWj1oSHBVz96tKhKpWJW9xq0+2ovscnpTFp3jp8H+5f4utdCCJEdSeyFEOI5N33DBRJSM7A21zKzW/W8JcWKYjjbvvUDSI4yLDOxhOrdoVY/wxCbh/vR6cgIDwdnZ9BooEoXw/L0ZAjcaDjbf2M3RF6D1YPArTZ0mQsu1R4ZShkbc6Z2qcKoVWfYdzWCv86G0aXmk009L4QQzyK5eVYIIZ5juwLvs+ncXQDGdfCltE0eZnKNvwcr+sD6Nw1JvcYUGrwF752FLt+C5wuZk/rcmFhA9R4w4A8YugsqtjQsDz0FP7SAfV8abr59hIBa7jSu5AjA9L8uEpucnrfXF0KIEkQSeyGEeE4lp+mY/IehCk7Nsna86p+HG09v7oPvG8KVzYbnXq3g7ePQ4TOwdHqygNzrwID10Pd3sHEHfTrsnA5LO0NCeK6bqlQqPu5aDVONmoiEVL7YGvhksQghCt369euZN2/eU31NRVGYOXMmnp6eWFhY0LBhQw4fPvzI7a5du8bw4cOpVasWWq2WatWyXk2Mi4tj6tSp+Pv7Y2dnR5kyZXjppZc4d+5cYexKtiSxF0KI59TcXVe5E52MRq3is5erPboKzrGfYFkAJEUaht10/hr6rQX7cgUbmHcbGHHIMKQH4PYh+LElhJ3NdbOKzlaMaOkFwPIjtzkdHFOwcQkhClRRJPazZs1iypQpjBo1ig0bNuDq6kq7du24ceNGrttduHCBjRs3UqlSJapUqZJtm9u3b7NgwQLatWvHb7/9xo8//khsbCwNGjTg0qVLhbE7WUhiL4QQz6HgqCR+3HcTgEGNylPVzTbnxno9bBoHG983VLRx8IJhu6Hea3kfcpNf5rYQ8B28vAA0ZhAbDIvaw+UtuW72ZgsvKjhZoijw8YaLUtteCGGUkpLCjBkzeP/99xk1ahStW7dm5cqVODg4MHv27Fy3femllwgODmbNmjXUqVMn2zYVKlTg+vXrfPLJJ7Rr144uXbqwadMmzM3Nn9oXGEnshRDiOTRzcyBpGXocLU15t413zg31OvjzbTi6wPC8YksYuhOcC2jyqkep2Rte2wRWZSA9CVb1hQvrc2xuptXw4Yt+AJwIimbD2bCnE6cQIl8GDRrE0qVLuXDhAiqVCpVKxaBBgwr1NQ8ePEhcXBw9e/Y0LjM1NaVbt25s2rQp123VeajSZWlpSalSmcvtWllZUalSJUJDQx8v6HySqjhCCPGcOXozio3nDAnv6HaVsTE3yb6hLh3WvQHnfzc8r9nHUKkmH3XmC4RHPRj6NyztAlHXYc1rkJEKNXtl27yVb2maejux72oEMzcH0rZKGcxNNE83ZiGepow0w1WtomZbFrSmeWo6efJkwsPDCQwMZPny5QA4Ozvn2F6v16PX6x/Zr1ab8+dTYKDh3htfX99My/38/Lh9+zbJyclYWFjkJfw8i4mJ4fz587Rt27ZA+82JJPZCCPEc0esVpm+4AICvizW9cqpZr9cbqt48SOrrDoIXv8pTbflCYethOHP/c1cIDzR84dCYQLVuWZqqVCo+fLEKHb/ZS0hMMj/tu8HbrXK5KiHEsy42GL7NfnjIUzXyJDh65ampl5cXzs7OBAUF0aBBg0e2nz59OtOmTXtku9yG30VHR2NmZoa5eebqX/b29iiKQnR0dIEn9uPGjUOlUjF8+PAC7TcnktgLIcRzZP3pEM6HxAEwuXMVtJpsEnVFgW0fwLnVhuf+w6Dj54U3nj6vrF1g0EZDcn/vPKwdBqUcoGKLLE19XKx59QVPfjl8m3m7r9OrvifO1mZPP2YhRIEYNmwYnTt3Luow8mXx4sX8+OOPLFmyBA8Pj6fympLYCyHEcyItQ8+c7VcAw3CVxpVyKE954Bs4/M+NXjV6Q4dZRZ/UP2DpBP1+h4XtICYIVvaDQRvArVaWpqPaVGb9qVASUjP4btc1pnap+vTjFeJpsC1rOFte1GzzMWt1Prm4uFC6dOkn6sPe3p7U1FRSUlIynbWPjo5GpVJhb2//pGEabd68mWHDhjF58mQGDhxYYP0+iiT2QgjxnFhx9DZ3opNRqWBse5/sG51fCzumGP7v3Q66zi264Tc5sXaB/usMVXISw+HXnoYqPTaZZ5t1tDJjSNMKfL3jKsuPBPF6kwqUdSiVfZ9CPMu0pnkeAvOsKoihOA/G1l++fJmaNWsalwcGBhrr2heEw4cP06NHDwYOHMj06dMLpM+8ksReCCGeA4mpGXz791UAutZ0w8/VJmuju+fgj7cM/3evC68sMYxjf0x6RU9YYhjRKdFEJ0cTHh2Om84NOws7XEq5YGdu99h94+gFfdfA4k6QcA9W9oXXNoNJ5rGzQ5pW5OdDQUQlpvHVjivM6Vnr8V9TCFGgTE1NSUlJyVPbghiK06hRI2xsbFi9erUxsU9PT2ft2rV06tTpifp+4OLFi7z44ou0atWK+fPnF0if+VFsEvvAwEBGjhzJwYMHsba2ZsCAAXzyySeYmuZ+d3W/fv04cuQIoaGhmJqaUr16dT788EPatWtnbHPr1i0qVKiQZdsXXnghT7ONCSHEs27xgZtEJKShVasY1TabUpWJkbDiVUNJSSsX6LUcTC3z9RqKonAx8iI7b+/kdPhpLkVeIiE9Icf2rpau+Dn44e/qTxvPNpSxLJO/nXKrBQHzYPVACD0JG0YZnj80bMjKTMtbLSvx8YaLrDsVwhvNvPBxsc7f6wghCoWfnx+LFi1ixYoVeHt74+TkRPny5bNt6+bmhpubW7br8src3JyJEycydepUnJ2dqV69OvPmzSMyMpIxY8YY2+3Zs4fWrVuzaNEiBgwYAEBSUpKxJGZQUBBxcXGsWbMGgObNm+Ps7Mz9+/dp3749FhYWjBo1iuPHjxv7tLGxyXFiq4JULBL76OhoWrVqhbe3N2vXriUkJITRo0eTlJTE3Llzc902LS2N0aNH4+3tTUpKCgsXLqRTp07s2rWLpk2bZmr72Wef0bJlS+Nza2v5cBdClHyxSeks2GOYVbG3f1nKOf4nYdfrYM0giL0NGlPo9QvYuOa5/8jkSFZeXsmf1/4kNDHnWs0qVCj8e5k8LDGMsMQw/g7+m5lHZ1LTuSa9fHrRoUIHTNR5vFJQNQDujoF9s+HMr4Zk/4U3MjXp+4InC/fdIDQ2hTnbL7Ogf70875sQovC8/vrrHD16lJEjRxIZGcnAgQNZsmRJob7m+PHjURSF2bNnEx4eTq1atdi6dSsVK1Y0tlEUBZ1Ol6m85v3793nllVcy9fXg+a5du2jRogUXL17kzp07ALRu3TpT2+bNm7N79+5C2qt/FYvEfv78+cTFxbFu3TocHBwAyMjIYMSIEUyaNCnXb2i//fZbpucdO3akQoUKLFu2LEti7+3tnaeSSkIIUZIsOnCT+NQMzLRqRmZX9nHfl3Bzr+H/L34JZevnqd+whDB+OPcDf177kzR9mnG5i6ULTd2bUsWxCn4OfpSxLIOlxpKYyBgs7S1JzEgkKD6IwMhAzoSf4UDoAZIzkjkTfoYz4Wf45uQ39K/Snz6+fTDV5KEmdssPDFVyrmyBbR9C2Rcy3UxrbqLh3TbejP/9HFsv3ONiaBxV3LIZiiSEeKpsbGxYsWLFU31NlUrFxIkTmThxYo5tWrRokWWsfvny5R85k3V22z1txSKx37x5M23atDEm9QA9e/Zk+PDhbNu2LV8zkWk0Guzs7EhLS3t0YyGEKOFik9NZdOAmAH38PSljk3kMOkEHYfcMw/9r9YU6Ax7ZZ0pGCovPL2bR+UWk6AzjYy20FnTz7kbnip2p6lgV1X+q6Oh0OlQqFZYmltiY2+Bq5UoD1wbG/g6EHmDt1bXsvbOXe0n3mH18Nqsur2JMvTG0LNsyS3+ZqNXw8nyY39RQz3vNYHhjD5j9e1W2Wx0P5u66RnBUMv/beZX5/es+cj+FEOJZUyxKHQQGBmaZBczOzg5XV1fjLGG5URSFjIwMIiMjmT17NlevXuWNN97I0u7NN99Eo9FQunRphg4dSlRUVIHtgxBCFEeLD9wkPiUDU62aN1v8p2pGUhT8PgQUPTh6G2rVP8Lxu8cJ+COAeWfmkaJLwcbUhnfrvMv2HtuZ4D+Bak7Vck/Cs2GuNae1Z2u+a/0d67uup4tXF1SoCI4P5t1d7/L2328TkRyReycW9tB9Iag0htlpN47JtNpEo+atFpUA2HLhLpfC4vIVoxBCPAuKxRn76Oho7Ozssiy3t7fPU/K9cOFChg4dCoCVlRWrVq2iYcOGxvVmZma8+eabtG/fHjs7O44cOcKnn37K8ePHOXr0KCYmOY/ljIuLIy7u3z8AYWGGadh1Oh06nS6vu1giPRh/9ry/DyIzOS6Kj/iUdBbtN5yt713fAydLk39/LoqC+s93UMWFoGjM0Hf7CbQWkMPPLV2Xzryz81hyYQkKCmqVmle8X+HNmm9iZ2YHkOvPPK/HRXnr8kxvOJ0+lfsw6/gsToefZu+dvXT7oxtTGkyhRdkWOW/sXg9Vi4mod30CZ1ei92qNUq27cXXXmq58+/dVQmJS+N/OK8ztUzvXWMTTIZ8Z+aMoCiqVqsiHfBQ2RVGMj+fBg3H92cnP70axSOyfVEBAALVq1SIiIoLVq1fTs2dP1q1bR8eOHQFwdXVl3rx5xvbNmzenatWqdO7cmXXr1tGzZ88c+54zZ062dVMjIyMxM3u+ZzHU6/XExsYCoC5uda5FkZHjovhYdCSMuJQMTDQqelS1JTw83LjO/NpG7AL/AiC+wRiSNC7w0PqHRaREMO30NAJjDVdQPS09mVhjIpVsKpEel0442W/3sPweF0448Xntz9kcspnvA78nOjWa9/a8R/dy3RlaeSgatSb7Db1fxf7ydsxCj8CmMURa+aK3/HdSm/51SzNz5202n7/H4Uu38XIq2OnjRf7JZ0b+pKSkYGZmRkZGRlGHUqgeTnTzexXwWaPX60lNTc30Gf2wyMjIPPdVLBJ7e3t74y/1w6KjozONu8+Jk5MTTk6GGRQ7dOhAVFQUY8eONSb22enUqROWlpacOHEi18R+9OjRDBkyxPg8LCwMf39/HB0dcXZ2fmRsJdmDXzgnJyc0mhz+yIrnjhwXxUNSWgarz5wFoFe9slSt4P7vyoR7qA98DIBSvimWLUdhqco+oTofcZ5RR0cRnmz4g9Pbpzfv1X4Pc615tu1z8rjHxcDSA2nh1YIPDnzA+cjz/B70O2FpYcxsOhMb0xxugO2+AGVBE9SpsTgf/hR9r+XGEpgDmzny84n7hMak8Nu5aOb09MzXfoiCJ58Z+ZOcnIxKpUKrLRYpXKF5cKZeq9WW+MRerVZjbm6eY16Zmpqa576KxVHh6+ubZSx9bGwsYWFhWcbe50XdunXZvHlzgcRmY2ODjU3WPx4ajUY+gDAcjPJeiP+S46LorT5xm+ikdDRqFcNbeP37s1AU2DgakqPB1ApV1+/QaLMfjrgjaAcT9k0gVZeKucacT5p8Qvvy7R87psc9LiraV+Tnjj8z4+gMVl9ZzcGwgwzYMoAFbRfgZpVN1TTHCtD+U/jrXVRXt6A5vxpq9QHAQqPhjWZeTPnzAhvO3WVMe1+ZjbYYkM+MvHuQ5Jb0ZBcM+/jgUdKpVKocj//8/F4Ui2teHTt2ZMeOHcTExBiXrV69GrVanWmiqbzav39/pnqk2dmwYQOJiYnUr5+3sm5CCPGsSMvQ89M+Q936rjXd8LB/KHE9twau/HPio90nYF8u2z7+uPYH7+95n1RdKmVKlWFpx6VPlNQ/KRONCZMbTGbSC5PQqDTcirvFgM0DuBV7K/sN6gwEr3/qSG8eD/H3jKt61iuLg6UpOr3Cj/+8T0IIURIUi8R++PDhWFtbExAQwLZt21i8eDFjx45l+PDhmWrYt27dmkqVKhmfb9y4kV69erFs2TJ2797N2rVr6dGjB1u3buWjjz4ytnv//fcZO3Ysv//+Ozt37mTGjBn07duXevXqERAQ8DR3VQghCt2fZ0IJjTWUoXyj+UOVcJKjYes/tZsrNIe6g7LdfkXgCj488CF6RU8lu0r8+uKvVHEs/BkTH0WlUtHHtw/ftvoWM40Z95LuMXDLQC5HXc6uMXT5FkytITX23/0GLEw1vNaoPACrjgUTkZD3y9xCCFGcFYvE3t7enp07d6LVagkICGDChAkMGTKEOXPmZGqn0+ky3Szi5eVFamoqEyZMoH379owcOZLExER2795N7969je2qVKnC33//zeDBg+nQoQMLFizg9ddfN76mEEKUFHq9wvw91wFo41caH5eHZtjeMRUSw0FjBp2/Mo47f9jKwJV8duQzAKo6VmVx+8WULlU6S7ui1NSjKd+3+R5LE0uiUqJ4fdvrXIu+lrWhrTu0nmz4//nf4doO46oBDctjaaohNUPPkgO3nk7gQghRyFTK81JHqIDcuXOHsmXLEhwcjIeHR1GHU6R0Oh3h4eE4OzvLuEhhJMdF0dp24S7Dlp0A4Pc3G1G3nL1hxe3DsOifoTStPoRmY7Ns++f1P/lg/wcA1C5dm3mt52FlavVYcWRER5N27RqpN2+ii4lFFx9HYnQMlk5OaG1s0Do7YVapEqYVK6J+zApj5yPOM2z7MOLT4nG2cGZph6WUtSmbuZFeBz+1htBTYFcORhwGU8PQpE83XuTHfTexNtdyaGJrrMzkRE9RkM+M/Ll16xZgmAn1Wbd+/XpCQ0MZMWJElnUP5igq6JtnFUVh1qxZzJs3j/DwcGrVqsVXX31FgwYNct1u9erV/PLLL5w4cYLo6Gi8vb155513eO211zLF16JFC/bs2ZNl+0uXLuV43+ijfqb5yT3lU0wIIUqQn/YZ6tbXL2//b1KvS4e/3jP838kHGr2bZbudQTuZfMBwdruKY5V8J/X6pCQSDx4kYd9+EvfvJz0kJNt2WQa9qNWYV6uGVZMmWDVrinnNmnn+I17NqRrzWs9j2PZhhCeHM3T7UJZ0WIKLpctD/Wug89fwY0uICYK9X0CbKQC83qQiiw/cIj4lg99P3GHgP8NzhBBPx/r16zl+/Hi2iX1hmTVrFlOmTGHmzJnUqFGD7777jnbt2nH69Olc78+cM2cO5cuX58svv8TZ2Znt27czdOhQgoODmTJlSqa2jRs3Zvbs2ZmWPa0vYpLYCyFECXEmOIajtwyT+g1t+tAfqGM/Qfglw/9f+hq0ppm2O33/NOP2jkOv6PGy9WJ+m/l5TuqTL1wgZvVq4v7agD4xMct6jb09WicnVJaWZKhVaNLSURISSL97FyUlBfR6Us6eJeXsWSLmzcOknCd2PXpg9/LLaP8pY5ybWqVr8b9W/2PEjhGEJITw1s63+Lnjz1iaWP7byK0WvDAcDs+DQ3Ohdj9w9MLF1pzONVxZfzqUxQdu0r9BOdTqkl99Q4jnVUpKCjNmzOD9999n1KhRADRt2pTKlSsze/bsTHMe/ddff/1lLK0O0KpVKyIjI5kzZw6TJ0/ONAeDnZ3dI68AFBZJ7IUQooT46Z9ZZss7lqK1XxnDwsQI2DXD8P8avaBco0zbBMcH8+6ud0nTp+Fi6cKCtguwN7d/5GslnTxJ+LffknTo8L8LVSrMq1fHqkljStWvj1nlymgdHYGswy0UnY70O3dIuXSJxIOHSNi/j4zQMNKDbhP+5Rwivp2LXc+eOA4dikmZ3Mf4N3BtwBfNv2DUrlFcib7CmD1j+LbVt2jVD/2JazHRUBEo8T5s/QBeXQnA4CYVWH86lFuRSey6fP/f900IUagGDRrE0qVLgX9Ldw4cOJAlS5YU2msePHiQuLi4TPMXmZqa0q1bN9auXZvrtk7ZnGioXbs2P/74I4mJiVhbW2ez1dMnib0QQpQAITHJbDoXBsDrTSqgeXDmeed0Q1UYE0tok3kW7bi0ON7a+RZRKVFYmljyXevvKGOZe2KbeuMG9z79jMQDB4zLTNzdsXulB7Yvv4xJmbwlxiqNBtNy5TAtVw6bDh1QFIWUs2eJXr2auE2bUZKSiP7lF2J++w37/v1wHjECtaVljv219mzNmHpj+OL4F+wP2c+so7OY9MKkf4f1mNtAm6nwxwhDuc+rO8C7DTU87KhXzp7jQdEsOnBTEnshnpLJkycTHh5OYGAgy5cvB8h14k+9Xo9er39kv7kVRXkwZ9J/x7r7+flx+/ZtkpOTsbDI+2zU+/fvx93dPUtSv2fPHiwtLdHpdLzwwgt8/PHHNGvWLM/9PglJ7IUQogRYevAWOr2CrYUJ3ev+c3NV6Ck4+bPh/83GgI2rsb1Or2Pc3nHcjL2JRqVhdvPZVLavnGP/+uRkIuYvIHLRIkhPB8DMuxJOb72Fdbt2qNRPVmRNpVJhUbMmFjVrUmb8eKJ+/pmoJUvRx8cTtXARcRs3UWbSRKzbts1xDH7/Kv25HX+bVZdXsfLySrztvenp89DM4jX7wPGFEHICtkyACgdBa8rgJhU4HhTNgWuRBN6Nw9clhxlthSim0nXphCaGFnUYuFm6YaLJfsK7//Ly8sLZ2ZmgoKA8DVuZPn0606ZNe2S73GrCREdHY2Zmhrl55pmz7e3tURSF6OjoPCf2+/fvZ+XKlXz55ZeZljdv3pwBAwbg7e1NaGgos2fPpk2bNuzZs4eGDRvmqe8nIYm9EEI84xJSM1hx5DYA/Rp4UspUa5hhdstEQAH7CtDwrUzbzD87nwMhhrPu4+qPo4l7kxz7Tz53ntAxY0gLCgJAW7o0pceOxebFTk+c0GdHY22N81tv4dC/P5E//EDkkqVk3L1LyDvvYt2hA67TpqKxtc2ynUqlYoL/BG7H3eZQ2CFmHJ2Br4MvNZxrGBqo1dDxc0OVnMirhnsPGo6gXZUyuNtZEBKTzOL9t5jVo0aB75MQhSk0MZTO6zoXdRhseHkD5Wyyn/TuSQ0bNozOnYt+H8FQpaZXr160bNmSd955J9O6/3756Ny5M1WrVuXjjz9m06ZNhR5bsahjL4QQ4vGtOxVCfGoGWrWKAQ3LGxYGboTbhwz/b/cJaP8tKbkneA/zz8wHoItXF/r49sm2X0WvJ/Knn7jVp48hqVercRg4gIqbNmL7UudCSeofprGxofSYMVRct5ZS9eoBEL9lCzcCXibp2LFst9GqtXze7HPcLN3I0GcwevdoolKi/m3gUc9w5h5g7+eQHINWo2ZgI0Mysu50CJEyYZUQxY6Liwu1atV65CM39vb2pKamkpKSkml5dHQ0KpUKe/tH318UExNDx44dcXR05Pfff89002x2LC0tefHFFzlx4sQj+y4IcsZeCCGeYYqi8PPBWwB0qOZCGRtzQ3nLHf+UX/NsBL4vGtsHxwczcZ9hFlZfB18mN5ic7dAWXUICoWPGkrB7N2AYR+/2xReUqlO7UPcnO2be3nj+vJToZcu4P/tLMsLCCBo4iNJjx+IwaGCW+O3M7ZjTcg4DNg3gXtI9xu0dx4I2C9Co/6mR3upDuLDOMBPvvi+h3cf0qufJ1zuukpSm49cjtxnZ2vup76cQj8vN0o0NL28o6jBws3QrtL4LYijOg7H1ly9fpmbNmsblgYGBeHp6PnIYTnJyMp07dyY2NpZDhw5hm82Vw6Imib0QQjzDDt2I5Or9BIB/67CfWAKR/8zE2u4T4wyz6fp0JuydQHx6PNam1sxpMQdzrXmWPtOCggge8RZp1w0z2Nq8+CIuU6egKcKqDyq1GoeBAynl70/I6PdJu3mT+7NmkXrlCi7TpqI2zVzCs6pjVT5s8CEfHfyII2FHWHxhMUOqDzGstPWABm/C/q/gyALwH4qtnSc96nrw86Egfj4cxBvNvTDVykVt8Www0ZgU2hCYwmRqaprl7HlOCmIoTqNGjbCxsWH16tXGxD49PZ21a9fSqVOnXLfNyMigZ8+eXLp0iX379uHu7p6n10xMTGTDhg3Ur1//iWLPK0nshRDiGbbskGHcu5+rDfXK2UNKHOyeaVhZrTt41DW2nXd6HmcjzgLwceOPKWtdNkt/SadOcWf4m+hiY0Gtpsz4cdgPGFCgMz8+CXM/P8qv/s14NSF23TrSbt+m7Lzvsoy7f9n7ZY7dPcZfN/5i7qm51HepT03nf87SNRlluLE4KRJ2fgzdf2RQo/L8fCiI8PhUNp4L5eXaz/fs4kIUNj8/PxYtWsSKFSvw9vbGyckpx4mc3NzccHN7sisC5ubmTJw4kalTp+Ls7Ez16tWZN28ekZGRjBkzxthuz549tG7dmkWLFjFgwAAARowYwYYNG/jyyy+Ji4vj8OF/S/3Wrl0bMzMz9u3bxxdffMHLL79M+fLlCQ0N5csvv+Tu3busXr36iWLPK0nshRDiGRUak8y2i/cAGNCwnCH5PvQdJEWAxhRaf2RseyTsCAvPLQSgl08vWnu2ztJfwr593HnnXZTkZNQ2NrjPmYNVk8aPFZsuQ09cRDKx95NJTc4gNSmd2Jg4wh0zMLcwwcLaBLsypbC0M8v3lwaNlRUe380l/Jv/EfnDDySfOEHQgIGU/fEHTEpnrnn/QYMPOB1+muD4YMbvHc/ql1ZjbWoN5rbQfDxsHgfnfoPG71DRpTqtfEvzd+B9Fu6/SUAt92LzhUaIkuj111/n6NGjjBw5ksjIyEKvYw8wfvx4FEVh9uzZhIeHU6tWLbZu3Zpp1llFUdDpdJnKa27btg2A999/P0ufN2/epHz58ri6upKWlsakSZOIjIzE0tKSRo0aMX/+fPz9/Qt1vx5QKbkNRhJZ3Llzh7JlyxIcHIyHx/N9Nue/E84IAXJcPE2zt15m7q5r2JhrOTypNaUy4uCbmpAaZ5hpteMsAGJTY+n2RzfuJ9+nkl0lVry4IssQnLhNmwgZNx4yMtCWLo3nwp8w8877OPOUxHSCL0UReiWGkKsxxNxNJC9/XbSmakqXs8HN2w53H3tcK9mi0eR9CEz0b79xd+o00OsxKVsWz0ULMS2b+UrE+Yjz9N/UnwwlgxcrvsjMpv9c0chIg7l1IeY2+LwIfX5l/9UI+i08AsBvbzTEv4JDnmMRj0c+M/Ln1q1bADme2S4pFEUhIyMDrVZb4r9gP+pnmp/cU87YCyHEMyg1Q8fKY4YSlz3rlTWUuNz7rSGp11pAk9HGtjOPzuR+8n1M1aZ83uzzLEl97MaNhI4dB3o9puXKUXbhQkw9Hj1+NCNdx/WT4Vw7fo/bF6PQ67LJ5FVgaqbBxFwDKgV9BqSn6shIM5wJy0jTE3o1htCrMRzfdAtzKxO86pTGx78MLl62j/yDbt+zJxobW0LHjiU9OJiggQMp9/OyTPFXc6rG27Xf5uuTX7PxxkbaeraldbnWoDU1nLX/4y24vBFCTtK4Um0ql7Hiyr0EfjkcJIm9EOKZIom9EEI8gzafu0tEQhoA/RqUg8QIw42gAP5DwNowg+rOoJ1suGGoljGy9ki87TOfhY/bspXQceNBrzdUn1m8CG02U6c/LCkujfN77nB+bwjJ8enG5Wq1Cudy1rhXtqNMeVvsypTCxtkcrYkmy1nZlMR0Yu8nExWWSNj1GEKvxBAbnkxKQjoX9oZwYW8Izp7W1Gxdlkp1S6PJ5UZWmw7tUVtbcWfEW2SEhnF74EDKLfsZk4fG4w6qOog9d/Zw6v4pph+eTu0ytXEwd4AavWHfHIi6Drs+Q9VvDf0blGPyHxfYfD6MiIQqOFmZ5fjaQghRnEhiL4QQz6Clh24B0MLHmfJOlrD1M0hPBBNLaPweAFEpUUw/PB2A2qVr079K/0x9xP+9i5AxY0Cnw9TLC88li9E6Oub4mimJ6ZzaFsSZv++gS/9n7KkKyvra412/DBVrOWNWKm+zTppbmmBewYQyFWzwa2SYETfmXhJXj9/jytF7xNxLIvx2PDsWX+TInzd4oUtFKtcvg0qd/Rl8q8aN8Zg7lzsjRpAeEkLQwEGU++UXTMoYxtxr1Bo+afwJPf7qQVRKFJ8c/oQvm3+JSqOFFhNg7VC4th2CjxJQuzYzNgeSlKZjzYk7DG/ulad9EkKIoia1vIQQ4hlz7k4sp27HADCwYXmIv2uYRRWgwXCwNJxx/+zIZ0SlRGGuMefjxh//W8cdSDp5kpBRoyAjA9Py5Q1n6nNI6vV6hTM7g/ll8iFObr2NLl2PiZmGGq086De9IV3erY1fI7c8J/U5sStTivovVuDVqS/Q5d1alKtmiCc+MoUdiy+y6rNjhF6NznF7q6ZNcP/2f2BiQnpwMMFvvIEuPt643tPGk/fqvAfA9qDtbL211bCiWndwNtS35u9PsDY3oWstw9n+X4/cRq+XW9GEEM8GSeyFEOIZ8/M/Z+s9HUrRvLKzYShJRgqY2UDDtwHYHbzbmLi+V/e9TDWuU69dI/jNESipqWhdXPBcvChLNZkHwm/Hs2bmcfavvkpqUgYaEzW123ky4LNGNO1ZGVvn3Cd0eRwqlYqyfg50frsmvT70Nyb4kXcSWPflKXYtu0RKYnq221q3aIH7F1+ASkVqYCB33h6JPi3NuL63b2/8XQzVKWYcnUFsaiyoNYaz9gA398Ct/bzqb3i/bkclse9aRIHvoxBCFAZJ7IUQ4hkSnZjGH2dCAejfoBzq+BA4sdiwsuFbUMqBhLQEPjn8CQA1nGvQ26e3cfv0e/e5PXQY+thY1DY2eP74AyaurlleR6/Tc+TPG6yeeZzw24az3t71y9B3WgMadauEueWTnZ3PKycPKzq/XZOAUbVxcLME4OKBMH6ddoSg85HZbmPToT1lPvgAgKQjRwibMBHln7J1apWaKQ2nYKYxIyolii+Pf2nYyK8rlKlm+P/fn1Ld3YYaHoa6+MsPBxXiHgohRMGRxF4IIZ4hq08Ek5ahx9xEzSv1PGDvbNClgbmdYTZV4H+n/se9pHto1VqmNpxqHIKjT0nhzttvkxEWhsrMjLLfz8u2pGVcRDLrvjzF8U23UPQKNk7mvPROTdq9XhVrh6wz1T4N7j729JxUnwYBFdFo1STHpbFh7hn2r7n673j/hzj064vjG28AhlKeEfO+N67ztPFkeM3hAKy7to6jYUdBrYaWkwwNbh+EG7vo+4InADsD7xMWm1zIeyiEEE9OEnshhHhGKIrCyqPBALxUww271FA4tcywsvE7YG7L2fCzrAxcCcDr1V43VsFRFIWwDz4k5dw5ANxmzqBU3bpZXuPWuQhWfXqMuzdiAajS1I3ek1/As0rON9U+LRqtmrodytPrw/o4lbUC4MyOYNbOPkF8VNZp6Z3fexebF18EIGLuXOK2bDGuG1h1ID72PgBMOzSNVF0q+HQCt9qGBn9/yks1XLE206LTK6w6FlzIeyeEEE9OEnshhHhGHLkZxY2IRAB6+3vC3i9AnwGlnMD/DXR6HZ8e+RQFhfI25RlaY6hx28gFPxC3cSMATm+9hU3Hjpn6VhSFE1tusXHeWdKSMzArpaXDG9Vo2dcXE7PiNWmQvYslPcbVo2Zrw0RU94PiWT3jGGHXYjK1U6lUuH76CebVqwMQOmEiyecvAGCiNmFqo6moUHE7/jaLzi8ClQpaGobwEHKcUkG76FbHUA9/5dFgMnRZrwwIIURxIom9EEI8I1YeNUxIVbmMFXVsE+CM4cw8jd8FMyvWX1vPxciLAEx8YSJmGkP99YS9ewn/5hsArNu3x+mtEZn61aXr2b7oIofX3wAFHN2t6DmpPl61s7+htjjQmKhp8oo3Hd+ojtZMQ3J8Ouu/OsWlg2GZ2qnNzfGYOxdt6dIoKSnceWckGdGGyjrVnKrR06cnAAvPLSQ4PhgqtQGPf6Z+3zebV/0Nw3HuxqXwd+D9p7eDQgjxGCSxF0KIZ0BMUhqbzt8FoHd9T1SHvjOcrbewh3qDiU2N5ZuThuS9VdlWNHJrBEDanRDDrLKKgpmPD24zPkOl/vejPy05g7/mnuHqsXsAeNV2ptvYOtg4FXy1m8JQsbYzPcbVxcbJHL1O4e+fL3Fiyy0U5d8SlSZlSuPx3VxUJiZkhIYROnYcik4HGCbtcjB3IFWXyqyjswxn7Zu+b9gw+Ag+qeeoX94egOVHbj/1/ROiJFu/fj3z5s17qq+pKAozZ87E09MTCwsLGjZsyOHDhx+53aZNm2jevDnOzs6YmZlRsWJFRo8eTWxsbKZ2Op2Ozz//HF9fX0qVKkXFihUZO3YsCQkJhbVLmUhiL4QQz4B1p0JIy9BjqlXT3dccTi41rPB/A8ysmHd6HtGp0ZhpzBhbfywA+tRUQt59F11sLGorKzz+9w3qUqWMfSbGprJuzklCLhvOYNdpX472w6phav5szV3o6G5Fjwn1KFPBBoDD62+w77erKA/Vn7eoXt1YKSdx/34ivp8PgK2ZLaPqjgJgz5097Lq9Cyq3h9JVDRvun0PfFwylL/deDed2ZNLT2i0hSryiSOxnzZrFlClTGDVqFBs2bMDV1ZV27dpx48aNXLeLiorihRdeYP78+WzdupXRo0fz888/88orr2Rq9+mnn/LBBx8waNAgNm7cyKhRo5g/fz5v/HMzf2GTxF4IIYq5h2+a7VjNBduziyA9yTDL7AtvcCX6CqsurwLgtWqv4WHtAcD9WbNIuWAYU+42ayam5f6tZZ8Qncr6OaeICE4AFTTt5U3Dl71QqbKf2bW4s7Aypet7tSlX3XCT77ldd/h72aVMk0vZ9eqJbdeuAER89x0JBw4A0MWrC7WcawHw+bHPSdOnQxNDss+1HXR0uo99KRMUBVYck7P2QjyrUlJSmDFjBu+//z6jRo2idevWrFy5EgcHB2bPnp3rtv369ePzzz+ne/futGjRgrfffpsZM2awfft2QkNDje1+/fVX+vbty4QJE2jZsiUjR45k9OjR/P7772RkZBT2LhafxD4wMJC2bdtiaWmJi4sL48aNI+2hSUVy0q9fP7y9vbG0tMTe3p5mzZqxbdu2LO1iY2N5/fXXcXBwwNramh49ehAWFpZNj0IIUbycCo7h8j1DLflXaznA0QWGFXUHoVjYM+PIDHSKDldLVwZXGwxA3PbtRP+6AgDHIa9j3bq1sb/4qBTWzTlJzL0k1GoV7V6vSo2WZZ/uThUCEzMNnYZXx7eBCwCBh+6yc+lFY3KvUqlwmToFs8qVQVEIHT+BjIgI1Co1k16YhAoVdxLu8OulX6Hqy2BfHgCzw9/wSj3D+7P6eDDpchOtEE9s0KBBLF26lAsXLqBSqVCpVAwaNKhQX/PgwYPExcXRs2dP4zJTU1O6devGpk2b8t2f4z+zdT+cr6anp2Nra5upna2tLXr90/ncKBbXW6Ojo2nVqhXe3t6sXbuWkJAQRo8eTVJSEnPnzs1127S0NEaPHo23tzcpKSksXLiQTp06sWvXLpo2bWps16tXLy5cuMD8+fMxNzfngw8+oGPHjhw/fhyttli8DUIIka0HN81WcLLEP/IPSIkFtQk0fIutt7Zy/N5xAMbWH4uF1oL0sDDCPpwMgEXNmji/+66xr4ToFNbPOUlcRApqjYr2Q6tRsZbz09+pQqLWqGk1wA+1RsXFA2FcOXIPRQ9tXquCWq1CbWGB+1dzuNnjFXQREYROnETZBfPxc/Sja6WurL+2ngVnF9ClUhccGr0DG0fDxT/o9+poftgLEQlp7Aq8T7uqLkW9q0IYKWlppD901riomLi5oTI1zVPbyZMnEx4eTmBgIMuXLwfA2TnnzyK9Xp+n5Di3nC4wMBAAX1/fTMv9/Py4ffs2ycnJWFjkfn+RTqcjPT2dixcvMn36dLp06UL58uWN64cMGcIXX3xB165d8ff35+LFi3z77bcMHz78qeSbxSKjnT9/PnFxcaxbtw4HBwcAMjIyGDFiBJMmTcLNzS3HbX/77bdMzzt27EiFChVYtmyZMbE/dOgQW7duZevWrbRr1w4AHx8f/Pz8WLt2baZvbkIIUZzEp6Tz1xnD1cU+dcsYbpoFqNmbpFL2zN5muHz8gusLtPFsg5KRQcjYsYaZZa2scPtyNioTwyyxSXFp/PH1aUNSr1XRcVh1ytdwKpL9KkwqtYoWfX1Ra9Sc3xvC1WP3MDFV06KfLyqVCjMvL1w+mETYh5NJ3LePqCVLcRz8GiNrj2Trra0kpCfw/env+aDu+7B7JiTex/PSj9Qr14fjQdH8djxYEntRrKSHhnK9Q8dHNyxkXls2Y/pQkptrWy8vnJ2dCQoKokGDBo9sP336dKZNm/bIdg/fOP9f0dHRmJmZYW6eeaI9e3t7FEUhOjr6kYl9uXLlCAkJAaBDhw78+uuvmdZPnDiR1NRU2rRpY4ylX79+fP3114+MvSAUi6E4mzdvpk2bNsakHqBnz57o9fpsh9XkRqPRYGdnl+myyObNm7Gzs6Nt27bGZT4+PtSqVeuxLr0IIcTT8ueZUJLTdWjVKvqY7oeEu4AKGr/LT+d+Mswwq9Iy0X8iKpWKyIWLSD5+AgDX6dMw9TCMt09NSuevb08bh990KKFJ/QMqtYpmfSpTpYnhxNDFA2Ec/P2a8Q+tbffuWHfsAMD9r74i5dIlSpcqbRzKtPrKaq4nhkDDf0qDnl7BwGqGM5G7LodzPy7rhFhCiMIzbNgwjh079shHYdu0aRMHDx7kxx9/5NKlS7z00kvo/qmyBTB37ly++eYbvvrqK/bs2cO8efPYvHkzI0eOLPTYoJicsQ8MDGTw4MGZltnZ2eHq6mq8bJIbRVHQ6XTExsayePFirl69yoIFCzL17+Pjk+WmMD8/vzz1L4QQReXBTbPt/ZywPj7JsLBKF+5aWPPzxZ8B6O3bGy87L1IuXyH8n+GLtgEB2HTqBEBGmo6N884ab5Rt/ZofFUpwUv+ASqWi+as+pKVkcO34fU7vCMbcyoS6HcobJq+aNo3kM2cMJTDHjaf872sYWHUga66s4V7SPb48/iXzmsyEfV9Baiwd4n/H0rQ5iWk6fj8ZwpstvIp6F4UADENgvLZsLuowMMllhMWTcnFxoXTpJ5tbw97entTUVFJSUjKdtY+OjkalUmFvb//IPmrUqAFAw4YNqV+/PrVq1WLdunX06NGDyMhIxowZwxdffGFM5Js1a4aNjQ39+vXj3XffpXLlyk+0D49SLBL76Oho7Ozssiy3t7cnKirqkdsvXLiQoUMNMyxaWVmxatUqGjZsWCD9x8XFERcXZ3z+4IZbnU6X6Rva80in06HX65/790FkJsdFwbkQGse5EEON5DdLn4PrNwHQNXqPeafmkapLxdrUmqHVhpKRkkLoxImQno7WpQxO48eh0+lQ9ArbF18k7Jqhn2a9vPGq4/zUfz5FeVy0HGBI7m+fj+Lw+huUsjWlsn8ZsLTE5ZNPuTN4MKlXr3L/629wfn8079R6hw8OfsC+kH3sCz9D43qvoz4wB+2ppbzi15ElZ+L57fhthjYp98xWESpO5DMjfxRFQaVSZR5yYmKCyUNVr4pSbkNh8rONoijGB8C0adOYPn36I/vKbRy+j48PYDjhW7NmTePyS5cu4enpibm5eb7ir169OiYmJly9ehVFUbh27RqpqanUrFkzUz+1atUC4Nq1a3h7e2fb14OT1NnJz+9GsUjsn1RAQAC1atUiIiKC1atX07NnT9atW0fHjk8+3mzOnDnZjumKjIzEzMzsift/lun1euPEDGp1sRjVJYoBOS4KzpJ9hptmXaxMqHzlBwBSPZpwOiWdP67/AUDv8r1Ji0sj+OefSL1omHXWfPRoolJTITycs1vvcuOU4QSGXwtnnH1NCA8Pf+r7UtTHRe0upYmPTiI6JIVdywJJJ5nSFSyhYgXMevQgdc0aohcvJqNWLepVr0dlm8pcibvC50c/54fan+Jy+DtU6Yn0YwNLaM7NiCR2nLlFLXerp74vJU1RHxvPmpSUFMzMzJ5K6cTCptVqSUlJyXZfHk50VSoVgwcPzlNel9v74u/vj42NDatWraJqVcNcFenp6axbt44OHTrk+z09cuQI6enplCtXjoyMDNzd3QE4fvx4phPMR48eBcDDwyPb19Dr9aSmpub42RwZGZnnmIpFYm9vb59l5i4wnGl/eNx9TpycnHByMlxW7tChA1FRUYwdO9Z4ANjb2xMcHPxY/Y8ePZohQ4YYn4eFheHv74+jo2Oud28/Dx78wjk5OaHRaIo4GlFcyHFRMFLSdWy/cgaAcZXDML1oGDaobTmOZTeXoUePSykXhtQdgnLlJtE/LwPAtkcPyrz4IgDn94Rw9ZAhqfdpUIZmPbIOSXxaisNx0WWkPetmnyIuIoUjv93h5TG1sXexRD9xArdPniDtxk1SZs+m3Lq1TGgwgcHbBnMr4RZ70y7xSp0BqI79iFfwGvycWnMpIoMd1xNoW6tCkexLSVIcjo1nSXJyMiqVqkRU9KtSpQpLlixh9erVeHt74+TkZKww8+CMt1arRaVS4enpiaen5xO9npWVFRMmTGDatGmUKVOG6tWr8/333xMZGcnYsWON7+mePXto06YNCxcuZMCAAQB0796dunXrUqNGDSwsLDhz5gyzZ8+mRo0adO/eHa1Wi7u7OwEBAUydOhW9Xk+dOnW4cOECU6dOpU2bNlSvXj3buNRqNebm5jnmlampqXnex2JxVPj6+mYZ6x4bG0tYWFiWkkR5UbduXTZv/nesma+vLzt27DBevnogMDAwxzf5ARsbG2xsbLIs12g08gGE4WCU90L8lxwXT27HubvEp2SgUkGnxHWGhW61OW1pyZ6QPQC8XfttLNBy88MPISMDrZsrZSaMR6PREHwpigNrrgNQ1s+elv390GiK9mxoUR8XVnYWvDSyFms+P05qYgZb5l+gx4R6mFta4jZzJrd69yH99m2i5y+g/vujaVuuLduDtjPvzDw6t/oey+MLUSVFMtHnLAMiqrDp/F2mdq2GlVmx+FP6TCvqY+NZ8iCPKQnDwIYMGcKxY8d45513iIyMZODAgSxZssS4/kF9+4Lc1wkTJgDw5ZdfEh4eTq1atdi6dSteXpnvmdHpdJnyRn9/f1atWsWsWbPQ6/WUL1+eoUOHMmbMmEwjOJYuXcrHH3/M/PnzCQkJwdXVlb59+zJt2rRc90OlUuV4/Ofn96JYXPPq2LEjO3bsICYmxrhs9erVqNVqY3nK/Ni/fz8VK1bM1H90dDQ7d+40Lrty5QqnTp2i0z83lwkhRHGy5sQdAHp6JmAetAsApcFbzDn5FQDe9t50rtiZiPkLSP3nxIjbJ5+gsbIi5n4SW388j6JXsCtTivbDqhd5Ul9c2JUpRcc3qqNWq4gNT2brj+fR6/RY1KiBQ//+AEQuWkTKpUuMqjsKrVpLVEoUy0L3gm9nABqF/4aJWiEpTceGM0VfO1yIZ5WNjQ0rVqwgIiICRVEyJfWFRaVSMXHiRIKDg0lJSeHw4cOZhs0AtGjRAkVRMk2YNWHCBE6dOkVcXBwJCQmcP3+e6dOnZzn5a2NjwxdffMG1a9dITk7mxo0b/O9//8vTjbkFoVh80g8fPhxra2sCAgLYtm0bixcvZuzYsQwfPjxTDfvWrVtTqVIl4/ONGzfSq1cvli1bxu7du1m7di09evRg69atfPTRR8Z2DRs2pH379gwePJjVq1fz119/0aNHD2rUqEG3bt2e6r4KIcSjhMYks/9aBABvmv9T8tfGnZ3W1pwNPwvAe3XeI+1SIBH/VACz69Mby0aNSEvOYNO8s6QmZWBWSsuLI2pgZiFnlB/mXtmepr0NlSnuBEazf801AJzffQcTd3fQ6Qj7cDIeFq68UvkVAJZeWEpMvUEAaKOuMNIzCIDfjmcd5imEEEWlWCT29vb27Ny5E61WS0BAABMmTGDIkCHMmTMnUzudTpfppgMvLy9SU1OZMGEC7du3Z+TIkSQmJrJ792569+6dadtVq1bRtm1bhg0bxquvvoq3tzebNm0qEWPUhBAly9qTd1AUKGeWSLk7fwGQ7j+Ub04bJqeq71KfJmUaEvbBh6DTYeLuTpkxY1AUhb+XXSL6bhIqtYr2Q6phV6ZUUe5KsVWtmTvVmxtudDu36w5Xjt1FXaoULlOnApBy4QJRPy9jWI1hmGvMSUhPYFH0GXCvB0BfZQMAJ2/HcO1+fJHsgxBC/FexyWr9/PzYsWNHrm12796d6bmvry/r16/PU/+2trYsXLiQhQsXPmaEQghR+BRFMQ7DmexyCNW9VDCxZJ2dA7eu3wJgdN3RRC9fbhyC4/rJx6gtLTm76w7XTxqqKjQM8KJslUcXH3ieNe7pTURIAmHXYtn1y2Wcy1pj37QJtl27EPvHn4T/739UbNuGvn59WXh+ISsCV9Cv7luUDjmO472DNLTqzqEEV347fodJnfyKeneEEKJ4nLEXQghhcDwomluRSZiRRvNYQ0nLpNp9+P7iEgDal2+PT4YTEf/7FgCbLi9h2bAh927FcWDNVQAq1HSiVtuyRRL/s0SjUdPu9WpYWJuQkapjyw/nSU/TUXrCBDQODigpKdydMoVBVQdhbWJNii6FH1KDwdbw3k60+xswXGFJ1+VcO1sIIZ4WSeyFEKIYWXPccLZ+iO1xTFIiARWrnNyISI5Aq9LyTu13uPfZDPRJSahtbCgzbhwpiels/eE8ep2CtaM5rQb4lYiKGU+Dlb0ZbV+rCiqICk1k38oraO3tKTPJMMtv4sFDsHk3g6oNAuD3q2sJrvMqANWjtuNMDBEJaey+/PTnBhBCiP+SxF4IIYqJpLQMNpwNBRRe1xhK9ib6dmTRjfUAdK3UFYfTt4jfZrihtvSo99A4OrJz6SXio1JQa1S0H1oNc0uTItqDZ1PZKg7U61QegEsHw7h0MAybFzth2bwZAPdmzqRPmRdxMHcgQ8lgPtFgao1Kn8Y4x30A/P7P8CkhhChKktgLIUQxsfncXRLTdDRTn8MhyVCDfoW7NzGpMWjVWoZWHsjd6R8DYF6jBnY9e3J6RzC3zhoq6DTuUYky5bPOuyEerf6LFXD3MZSj27viMlGhibhOmYKqVCn0sbEkzF3A0OpDAfjr1lau1XgZgJfSNmNGGjsD7xGTlFZk8QshBEhiL4QQxcaDm2bH2hgKCSS412bxHcP8G929u2Pyyx+k37kDajWuU6dw91YCh9YZvgB41XGmeguPogm8BFCrVbQdXIVSNqZkpOsN8wA4lMZp+HAAYtas4aU0P1wsXVBQ+M40DVRqzNNj6Gmyn3Sdwl9S014IUcQksRdCiGIgOCqJQzciqawKpnrKcQB+KV+DuLQ4TNQmvGbVjsiFiwCw79cXdYXKbF94AUWvYOtsQcv+Mq7+SVnamtHu9aqoVBB9N4kDq6/iMGggpuXKgaIQ9dnnvFn9DQB2hB3kvE9rAN4y34YKPb+fDCnK8IUQQhJ7IYQoDn4/aThbP8zMMH4+ztaDn8OPAfCKdw8yvpgH6eloS5fG+Z132PfblUzj6mUSqoLh7mNPvRcrAHDxQBhBgXGU+cBwI23K2bM0P6tQ3qY8APOsDNPIu6Tfppn6HKeDY7genlAkcQvxLFq/fj3z5s17qq+pKAozZ87E09MTCwsLGjZsyOHDhx+53ZIlS1CpVFkeEyZMyNJ24cKFVK5cGXNzc2rWrMmGDRsKY1eyJYm9EEIUMb3eULvelgS6qPYDsMyrLvHpCZhpzOh3z4ukI0cAKDNxAkHXkgk8dBeA+p0r4OxpXWSxl0T1Opaj9D/3KuxadglN7QZYtWoFQORXXzO8Yn8A9kWe5YJHDQCGmm0HDKUvhRB5UxSJ/axZs5gyZQqjRo1iw4YNuLq60q5dO27cuJGn7bds2cKhQ4eMj7feeivT+pUrVzJ06FB69erF5s2badiwIS+//HKevjwUBEnshRCiiB29FcWd6GR6aXZhqqQSa2rBsvjLAPSu0I3Ub34AoFSDBmgatWLXL4aJqcpUsKFOO88ii7ukUmvUtBnkh9ZETXJ8OruXX6b0hPGoTE3RRUVR568rlLMpB8B8R2cAGiunKKe6y7qTIej1SlGGL4TIQUpKCjNmzOD9999n1KhRtG7dmpUrV+Lg4MDs2bPz1EfdunVp0KCB8VG2bOY5Q6ZMmULv3r35+OOPadmyJfPnz6d+/fpMnz69MHYpC0nshRCiiK09eQc1el4zNdwou7RiXRIzkjDXmPPKSXPSQ0NBrab0hAnsXn6ZlIR0tKZq2rxWBbVGPsYLg72LJQ27VQLgxulwboaY4DhkCAAxv67gLavOAOyOu8pF29KoUBig2U5obAqHb0QWWdxCPCsGDRrE0qVLuXDhgnFYy6BBgwr1NQ8ePEhcXBw9e/Y0LjM1NaVbt25s2rTpifu/ceMGV65cydQ/QO/evdm5cyepqalP/BqPIn8RhBCiCKWk69h87i6t1SdxVe4TrVbzS8Y9AAaV6ULy4uUA2PV8hZuR1g+VtvTGrnSpIov7eVC9uTtl/f4pgbnqCqbd+6N1cwW9Hr+l+ylrZahCtMDdC4De2j2UIoU1MhxHiEeaPHkynTp1omLFisZhLZMnT86xvV6vJyMj45GP3AQGGq52+vr6Zlru5+fH7du3SU5OfmTcVatWRaPRULFiRWbMmIFOp8tT/2lpady8efOR/T8pudtKCCGK0PaL94hPzWCg6VYAlpb1I1kXj4XWgk5bo0hJSkJtbY1ZvzfY/+0VADyrOlK1qVtRhv1cUKlVtBpQhZUfHyE1KYNdq27QcvwEQt99l+TjJxjdshejtHf4OzmEy2bm+KQm0U2zj7XnLfm4awaWZvInVjwdugw98ZEpRR0G1o7maLR5O2fs5eWFs7MzQUFBNGjQ4JHtp0+fzrRp0x7ZTlFyHgoXHR2NmZkZ5ubmmZbb29ujKArR0dFYWFhku62rqyvTpk3jhRdeQKVS8eeff/Lhhx8SEhLC3Llzjf0D2NnZZekfICoq6pHxPyn51BFCiCK07lQIlVR3aKK+QKxazQptKujhDZNWpGz4AwDHN0ewe30o6ak6zCy1tBrgK6UtnxIrezOa9anM9oUXCbkSw80avjg0akjiwUOUW76PcsPcCEoNZUFZH+ZcO8NA7TZ+SW3DlvN36V5X5hUQT0d8ZArLpzydmzNz03daA+zKFM6VxGHDhtG5c+dC6Tsv2rdvT/v27Y3P27Vrh4WFBV999RUffPABrq6uRRbbw2QojhBCFJGIhFT2XAlnoMZQ4vJXJ1eS9GmYq81otsYw8ZRp+fKEerYg7FosAC1e9cXS1qzIYn4eVa7vQqV6pQE48scNzN8YA2o1GaGhjLlpuOS+XRfNFRMTvFUhNFafZ+0pGY4jREFycXGhVq1aj3zkxt7entTUVFJSMl/diI6ORqVSGc+s51XPnj3R6XScPn3a2D9AbGxslv4BHBwc8tX/45Az9kIIUUT+OhNKKX0i3Uz2kaBS8Yu1BejTeDeyLhln9wJQ6u2x7PwrCACvOqWpVLd0UYb83Gre24eQy9Ekx6dz8GAq9V9+mbjff8f194NUGlmaa9znBxdPZgdfZ5BmG8OuVyc0Jhk3u+wv6wtRkKwdzek77dHDWZ5GHIWlIIbiPBj7fvnyZWrWrGlcHhgYaKxr/yQe9B8YGIiPj0+m/k1NTalYseIT9Z8XktgLIUQRWXcqhFc0e7BUpbLQ1p44fRpWGVrqrbuEApRq3JjjtxxIT43CrJSWZr0rF3XIzy1zKxOa9qzMtoUXCLkcjVdAf0w2b0afkMD7Z6rwZs37bNOmc91ES2tO4p5xn3WnQnirZaWiDl08BzRadaENgSlMpqamWc6e56QghuI0atQIGxsbVq9ebUzs09PTWbt2LZ06dcp3fytXrkSj0VC7dm0AKlasSOXKlVm9ejVdu3Y1tlu1ahWtW7fG1NT0ieLPC0nshRCiCFy7n8C5O9H8z3QbySoVPzs4gJLO6GuVUO6dB42GxICR3N5oKJ3YuEclStkU/h8FkbNK9Upz+ehdgs5FcmTbPdoNGEri/G9w3HqCGpUcOWsZxQJHZz6/G0Z/zXZWnazAiBZecj+EEDnw8/Nj0aJFrFixAm9vb5ycnChfvny2bd3c3HBze7KiAebm5kycOJGpU6fi7OxM9erVmTdvHpGRkYwZM8bYbs+ePbRu3ZpFixYxYMAAwDDGvlWrVlSvXh2AP//8kx9++IF3330XFxcX47ZTp06lb9++eHl50bJlS1atWsWRI0fYu3fvE8WeV5LYCyFEEVh36g4t1Gcor77HL9bWRCnp2CepqbbVMLa+VI9X2bEnDgAPX3t8GxaPG7OeZyqViuZ9fFhxxVAl54JZAyqVXkHG/fuMPGzP0NZRbLUw4S2tll7Kbr4K78Hp4Bhqe+Zv3K4Qz4vXX3+do0ePMnLkSCIjIxk4cCBLliwp1NccP348iqIwe/ZswsPDqVWrFlu3bs00TEZRFHQ6HXq93rjM19eXhQsXcufOHfR6PZUrV+brr79m5MiRmfrv06cPSUlJzJw5k5kzZ+Lj48O6deto2LBhoe7XAyolt8FIIos7d+5QtmxZgoOD8fB4vise6HQ6wsPDcXZ2RqPRFHU4opiQ4+LR9HqFpp/v4rPEKTTUnKVj+fLcV+n5+LAnPrtuoC5Vittv/MSVU9FoTdT0/ugFbJ2f7bHaJem4OLf7DntXGkqPNquZiPabcQDMGWTPYdd4usUnMC0iignpQzCp/xofB1QrynCLvZJ0bDwNt27dAsjxzHZJoSgKGRkZaLXaEn/V61E/0/zknlIVRwghnrKjt6LQxt6kueYsf1hbcl+lxzUKfPYabpJN6zmSK6cMVRT8u1R85pP6kqZaM3dcKtoCcOKWPWq/GgAM22uKSlH409qaexoN/TXb+fN0CKkZuty6E0KIAiOJvRBCPGVrT97hVc1O0oGf/imP9u4xJ9DpUEq7cSrWcMOls6c1NVs931cGiyOVWkXLfr6otSoSY9O43XQEAFY37tE20IwMFJbaWlNVHUTF1EvsCrxfxBELIZ4XktgLIcRTlJKu4+9zt+mp2cNmK0tCNWoqhShUPHkXgLvtRxEfnWZIHvv7otbIx3Rx5OBmSb2O5QG4ckVHavNuAPTbq8IkQ2GNjQ0xajX9tNtZcyKkCCMVQjxP5C+GEEI8Rdsv3qN5+n5sVQn8ZGsDisJbB60BSK1cn8AQQ8m62m3L4lzWuihDFY9Qp3057F0tAbhUugN6tRbzqERePK0lWQXLbazprD7MmcvXiExILeJohRDPA0nshRDiKVp3KoR+2h3sKWXBTVMT6lxTcL8WgwJcrTEQRQ9WDmbU61ShqEMVj6DRqmn+z9wCUeHpRHZ4C4Duh8AiReFXG2sy1DpeVu3mrzOhRRmqEOI5IYm9EEI8JREJqURcPUpt9TWW2Fqj0iu8vt8MgCj/V7gfYaj80PSVypiYSXWQZ4G7jz2V/csAEJjhS5qlI2YJqXQ9BnEaNautreir2cn6k8FFHKkQ4nkgib0QQjwlf50JpY9qO2fMTDlpbk6LcwrOd5NJ11pw2bElAJ5VHalQy6mIIxX50ah7JUzNNaSn6Qlq/i4ALx0D20SFn22tcdHcxzZsP9fuJxRxpKIk0Gg06HRSaakk0el0BVbqtdgk9oGBgbRt2xZLS0tcXFwYN24caWlpuW4TFhbGuHHjqFWrFtbW1nh4ePDqq68SFBSUqd3u3btRqVRZHr179y7MXRJCiEy2nbhMgOYAS2xtMMlQ6HPA8BEc3PRNUpIVNFo1zXp7l/iazSWNpa0Z/l0Mk9sEJzkS41ITk1Qd3Q8ohGu1/GFlRT/NdtadulPEkYqSwNzcnLS0NCIjI4s6FFEAIiMjSUtLw9zcvED6KxYzz0ZHR9OqVSu8vb1Zu3YtISEhjB49mqSkJObOnZvjdidOnGDt2rUMHjyYBg0aEBERwccff4y/vz/nz5/H2dk5U/vFixfj6+trfO7kJGfFhBBPx7X7Cfjc28h9Cz07S1nQ8ZiCXayOOJtyBOEFQJ0O5bB1LlXEkYrHUb25O4GHwogITuBqzYHUvTeWtqf1bKivsNjWmvVxp/j+5Gn0bX1Qq+WLm3h8Tk5OpKamcv/+fWJiYkr0pF56vR61uticgy5wOp2OtLQ0rK2tCywnLRaJ/fz584mLi2PdunU4ODgAkJGRwYgRI5g0aRJubm7ZbtekSRMCAwPRav/djUaNGuHp6cnPP//M+++/n6l9tWrVqFevXuHtiBBC5GDdyWD6a7bzs601punQ/bCCgorr9d9A0YGNswV12nsWdZjiMak1apr38eH3z08Qn2rGncqd8bz8Bz336ZnbxYSdVha0it3EkZttaejlWNThimeYSqXC3d2diIgIUlJSSuywHEVRSE1NxdzcvMRexTQ1NcXGxgYnJ6cC28dikdhv3ryZNm3aGJN6gJ49ezJ8+HC2bdvGoEGDst3Ozs4uyzIPDw+cnZ0JDZUKBEKI4kGvV7h9Yit22nv8YeVGx8MK1okKIe5NidYZZjBt1qsyWpOSe+bteeBS0Ra/xq5cOhDGTfc2lL61l6YXo/mzgcISWxvmJuziqxM3JbEXT0ylUmUZlVDS6HQ6wsPDcXZ2LtFXJQpasbi+ERgYmGmIDBiSdldXVwIDA/PV15UrV7h//z5+fn5Z1nXq1AmNRoOHhwdjx44lOTn5ieIWQoi8OHorig4pG1lpY40mTUXXI3rStaW4Wbk7ABVrOVOumiR7JUHDl70ws9Si06u5Xq0fKgX67NZzycyUGxapZFz4k+S0knmGVQhR9IrFGfvo6Ohsz77b29sTFRWV534UReGdd97Bzc2NPn36GJfb2toybtw4mjVrhoWFBX///TezZ8/m0qVLbNiwIdc+4+LiiIuLMz4PCwsDDN8kS+rlr7zS6XTo9frn/n0QmclxkdX2w6d4T3OCmTYuvLRfj2UKXPHpQppigsZETcNuFUv8+/W8HBemFhr8X6rAvpVXuWfti5udN3WvX8XnjsJiBxsGJ21l64VhvFTDtahDLTael2ND5I8cF//Kz3tQLBL7gjJ16lR27tzJli1bsLS0NC6vXbs2tWvXNj5v1aoVrq6uvP322xw9ehR/f/8c+5wzZw7Tpk3LsjwyMhIzM7OC3YFnjF6vJzY2FqBE39wi8keOi8xSMvTYB65kg60FulQ1nY7rSLB0JcS1MQCVGzmQoo8nJTy+iCMtXM/TceFcWYttGTNi76Vytcqr1Dv0Mb326pn+qgWjza/z+/5dNHBtW9RhFhvP07Eh8k6Oi3/lpwJSsUjs7e3tjT+8h0VHR2cad5+bH3/8kenTp7Nw4UJat279yPY9e/bk7bff5sSJE7km9qNHj2bIkCHG52FhYfj7++Po6Fjix7c9yoNvkE5OTjL+TRjJcZHZxtPBBKh2MtTWmoC9eszT4HTVniiosbI3o1GALyamJf99et6Oi+Z9TPnz6zMkmJYm1LUx1YL2UTVIz2JHG6rf/QOVRXecrJ7vk0MPPG/HhsgbOS7+lZqamue2xSKx9/X1zTKWPjY2lrCwsCxj77Ozbt063nzzTaZPn87gwYMLNDYbGxtsbGyyLNdoNM/9gQaGb9HyXoj/kuPiX7cPr8PMMpnEFEvan9AR4VSDaNvKgGFiI3ML0yKO8Ol5no6Lsr6OVKpbmmsn7nOzUlfK3D9Br71JTOtrwWDTg2w9dYMBLaoVdZjFxvN0bIi8k+PCID/7XyyubXTs2JEdO3YQExNjXLZ69WrUajXt2rXLddvdu3fTp08fhg4dyuTJk/P8mitXrgSgfv36jxWzEEI8SkRCKjXvrWaJnQ3dDujRKFqueb8CgJu3HZXqli7iCEVhatjNC42JmnS1BTfLv4jvHah2C9bZmhB3dHlRhyeEKIGKxRn74cOH8+233xIQEMCkSZMICQlh7NixDB8+PFMN+9atWxMUFMS1a9cAuHTpEgEBAXh7e9O/f38OHz5sbOvs7IyXl2HSl379+lGpUiXq1KmDubk5f//9N1999RUBAQFS114IUWj2HDyEZ6lr3EsuTeszOoI9WpFs5gAqaNJTZpgt6WwcLajTzpNjG28R4t4Mt9D99Nobxsf9LfkuagNX7k6kskvWK8JCCPG4ikVib29vz86dOxk5ciQBAQFYW1szZMgQPv3000ztdDodGRkZxudHjhwhNjaW2NhYGjdunKntwIEDWbJkCQBVq1Zl+fLlfPnll6SmplKhQgUmTZrExIkTC33fhBDPL83JxSyxteGVv/XotLYElesAQJUmbjiXtS7i6MTTULt9OS4dDCMhOpWrlbpT6+xcqtxQcdoxBvO9m6ncs1dRhyiEKEFUiqIoRR3Es+TOnTuULVuW4OBgPDw8ijqcIiWTR4jsyHFhcD00nLhFdZhoYcuXP+m45DOQey7+mFpo6Te9ARbWz8/Yeni+j4urx++x7acLAFQ/t4AE7Vm+6A/vh1ak44cb0Kif7ys3z/OxIXImx8W/8pN7Fosx9kIIUdJc3rmUtXZaeu7Tk2BVjnsuhupb/p0rPHdJ/fOuUt3SuFYyzDB8tVI3yt3X4nVdTUKpsxy/eKWIoxNClCSS2AshRAHT6xWsg1ZyLqEUDQIVrnp1A8CuTCmqtXAv4ujE06ZSqWjaszKoIMXCmTvuzXhln55frS25u/enog5PCFGCSGIvhBAF7PyJfRy3vk+P/QoRjtWJtasEQMOXvdBo5GP3eeTsaY1vAxcAbpXriGuMJW7XNaTE/0VSaloRRyeEKCnkL4wQQhSwqIPfcyzBitrXVVyvGACAayVbKtR0KtrARJF6oYsXWlM1GSaluFm+A6/s17PBRs/pXWuLOjQhRAkhib0QQhSglIRorukO0ekghLk0IsnScJa2UfdKUt7yOWdlb0attp4AhLg1xy7ZGdtrJty+uKCIIxNClBSS2AshRAG6uO1HDiVZUPOWKTcrvAiAV53SuFSwLeLIRHFQu60npWxMUdQarlcMoPsBPYdMggkPuV7UoQkhSgBJ7IUQoqAoCueDfqHlIRW3y7YmzdQGtUZFw5crFnVkopgwNdfyQlfD8RDuXAszpRKqG2Yc3v5FEUcmhCgJCiSx1+l0JCYmFkRXQgjxzIq+vJfj8alUC7YmuGwbAKo1c8fWuVQRRyaKE9+Grji6WwFwzasb3Q4oHIrdDbr0og1MCPHMe6zEPjIykm+//ZYuXbpQpkwZTE1NsbGxwcLCgpo1a/L222+zZ8+ego5VCCGKtZ17v8D/iIab5V9EpzHD1FxDvRfLF3VYophRq1U07m6olBRvUw6deT0yrqs5s29J0QYmhHjm5Suxv337NoMGDcLd3Z0ZM2ag1WoZMWIE//vf/1iwYAEff/wxTZs25fjx47Rp04bKlSuzfPnywopdCCGKj8RITodexjesNKGujQCo06EcFlYyGZXIqmwVBzyrOgJwvWIXOh/WsuHcj0UclRDiWafNT+MqVarwyiuvsH37dpo0aZJrhYfw8HB+++03pk+fTnBwMBMmTHjiYIUQorg6vGs2vsdMDOUtVWos7Uyp2apsUYclirFG3b0IvhhJqrkDiXYtSb68jfiws1i71ijq0IQQz6h8nbG/cOECixcvpmnTpo8s2+bs7Mxbb71FYGAg/fv3f6IghRCiWNPr+fvYn1SM8CLCyZCUNejqhdZUU8SBieLM0c2KKk3cAAjybEeb41b8snVKEUclhHiW5SuxL1eunPH/t2/fJj09+xt90tPTuX37NmCYStvdXaZQF0KUXCEX1+J5XM81r5cBcHS3pPILLkUclXgW+L9UERMTFTqtBTHOnYk4FkhGanxRhyWEeEY9dlWcChUqcOrUqWzXnT17lgoVKjx2UEII8SxZ++eXeMTVId6mPACNulVCrZbJqMSjlbIxpU4nw9/LELfGNDrjwpa/Py3iqIQQz6rHTuwVRclxXWpqKmZmZo/btRBCPDPiIq7geCCB6xW7AuDha2e8KVKIvKjVuiwWVhpQqQl3fZnAvzbk+jdWCCFykq+bZwMDA7l48aLx+e7du7lz506mNikpKaxYsYKKFWVCFiFEybfh1/E4pTThqoUToNCou3dRhySeMVpTDY1f8WHH4otEOlaj+sVKHD/1C/XryP1pQoj8yVdiv2rVKqZNmwYYxs7nVOnGzs6OJUuWPHFwQghRnKWlJaHeGsTN8q8B4FnbCeey1kUclXgWVa5fhr1rL5EWq3DXPYAbi76VxF4IkW/5Gorz3nvvcfPmTW7cuIGiKKxdu5abN29meoSEhBAZGUmXLl0KK2YhhCgWdq6cgKXSjgwTKxR0tHjFp6hDEs8olVpF6/7VAUiw9qTsFV+u3T5axFEJIZ41+Tpjb2tri62tLQA3b97Ezc0NExOTQglMCCGKM72iJ37NSSI9JgNgXcMRawfzIo5KPMsqVnNCZ52KJt6Mu25diPn6AyrN2V7UYQkhniGPffNsuXLlJKkXQjy3Dm34Go26E3q1CYqSQtdXqxZ1SKIEqN6jOih6Us0dsLrsy/2I20UdkhDiGfLYib0QQjzP7i7ezt0y/gDEelljZyeVwMSTa17fnXizewDcc23Pvi9l1nYhRN5JYi+EEPl0bvdqUrWdQaUGJYoWAb5FHZIoIdRqFdqWNVEpaWRoS6G/VIGE2MiiDksI8YyQxF4IIfLp6vfriXbwA+CiIzSs5FTEEYmSJKBxeRJNDaWlw0s3Z8+cj4s4IiHEs0ISeyGEyIebB3cSb9IeALVym4rNq8kss6JAVSptxZmKVVHr41HUWuIuupOWEFfUYQkhngGFktjfvn2buDj5EBJClDyn5v1BgpUHAJetI3i5jkcRRyRKojb+laHUAQCiHOuye843RRyREOJZUCiJffny5XFxcWHkyJFZZqbNSWBgIG3btsXS0hIXFxfGjRtHWlpartuEhYUxbtw4atWqhbW1NR4eHrz66qsEBQVlaRsaGkr37t2xtrbGwcGBIUOGyJcPIUS+hB05QJS2OQAmnOVOBX8qOlsVcVSiJHqpphtbSpVDk2G4kfZuYGky4uOLOCohRHFXKIn9Rx99xNtvv82ZM2eoVq3aI9tHR0fTqlUr0tLSWLt2LZ999hk//PADo0ePznW7EydOsHbtWnr27Mkff/zBnDlzOHfuHP7+/oSHhxvbpaen0759e65cucKvv/7K999/z9atW3n11VefeF+FEM+Pg99vI9XcHhQ90bbXCKhbrqhDEiWUo5UZzj7+WNpvACDexpu9Xy0u4qiEEMVdviaoyqupU6ca/5+env7I9vPnzycuLo5169bh4OAAQEZGBiNGjGDSpEm4ubllu12TJk0IDAxEq/13Nxo1aoSnpyc///wz77//PgBr1qzhwoULXLp0CR8fw8yQ9vb2tG/fnqNHj+Lv7/+4uyqEeE7cPXSMcK3hs8JEvY+/tA3ZUMO1iKMSJdnLtT34+7Ib3unX0JlU4tZ1J9JjEzCxlatEQojsFdrNswkJCQB5msRq8+bNtGnTxpjUA/Ts2RO9Xs+2bdty3M7Ozi5TUg/g4eGBs7MzoaGhmfqvUaOGMakHaNu2LQ4ODmzatCnP+ySEeH7t+3EvOq0FKl0qFo7HqVHFF7tSpkUdlijBWvuVZo9pM+xLrwIg2cKFvV+tKuKohBDF2WMn9s2aNePWrVvZrtu9ezfVq1fPc1+BgYH4+mauA21nZ4erqyuBgYH5iuvKlSvcv38fPz+/XPtXqVT4+vrmu38hxPMnbN9JwrU1DE9MtrFF35RuteWmWVG4zE00tK1RjhiNE+q0kwBcD3YkJVLuDxNCZO+xh+LExsZSo0YNvvrqK15//XUAUlNTmThxIt988w1du3bNc1/R0dHY2dllWW5vb09UVFSe+1EUhXfeeQc3Nzf69OlTIP3HxcVlusk2LCwMAJ1Oh06ny3NsJZFOp0Ov1z/374PIrCQeF3uWHkPReqNJj6O8504Wqr6gSSWHErWPha0kHhdPQ0BNNyYea8Ngj/nE3a1BuokNe776izbTehd1aAVGjg2RHTku/pWf9+CxE/vjx4/z4Ycf8sYbb/DHH38wYsQIRo8eTWhoKIsWLWLgwIGP2/Vjmzp1Kjt37mTLli1YWloWSJ9z5sxh2rRpWZZHRkZiZvZ8TyGv1+uJjY0FQK2WKRGEQUk7Lu7vv0ik1huAZIu/OJ7WhDbVHYiJktlA86OkHRdPi2cphRTr8rikmBKbvg/MWnLjngNB569RqoxtUYdXIOTYENmR4+JfkZF5/3vz2Im9iYkJs2bN4sUXX6R9+/Zs3LiRGjVqcP78eTw88neJ2t7e3vjDe1h0dHSmcfe5+fHHH5k+fToLFy6kdevWee6/bNmyufY7evRohgwZYnweFhaGv78/jo6OODs75ym2kurBN0gnJyc0Gk0RRyOKi5J0XCiKwvZtYaB2xTTlLj7e2xgb/zlLGnnh7FwykqqnpSQdF09bt7pl+X1PW6pVWIvmdgN0WgsurTxLh0+6FXVoBUKODZEdOS7+lZqamue2T1QV5+rVq4wbNw6VSkWDBg04evQoCxYsYMqUKVluas1NdmPdY2NjCQsLyzI2Pjvr1q3jzTffZPr06QwePDjb/s+dO5dpmaIoXL58mbZt2+bat42NDTY2NlmWazSa5/5AA8O3aHkvxH+VlOMi8I9jxKkNlW/CbdZhn1ID5zJu1Chrj0ols83mV0k5Lp627nXL0nZXXd7mZ/7O2IZa25VbUfZE3YzEuVLpog6vQMixIbIjx4VBfvb/sa9tzJs3j1q1aqHT6Th58iQHDhzg22+/5euvv+aFF17gwoULee6rY8eO7Nixg5iYGOOy1atXo1aradeuXa7b7t69mz59+jB06FAmT56cY/9nzpzh6tWrxmU7d+4kMjKSTp065TlOIcTzQ6/Tc2hTMAAWCdfwcz/Azxnt6V7HQ5J68VRVcLKkuqcTO9JaEFd5M6ap0aBSs2/BoaIOTQhRzDx2Yv/ee+8xduxYDh8+bDyrPnz4cE6fPo2FhQX16tXLc1/Dhw/H2tqagIAAtm3bxuLFixk7dizDhw/PVMO+devWVKpUyfj80qVLBAQE4O3tTf/+/Tl8+LDxcf36dWO7Hj16ULVqVbp3786GDRv47bffGDx4MC+++KLUsBdCZOvMqmMkqewAuOm0jrKJZTiPFwG13Ys2MPFc6lbbnZUZreiujyZJb5i0KizemtunQ4o4MiFEcfLYQ3EOHTpE3bp1syz38vJi3759fP7553nuy97enp07dzJy5EgCAgL+3959h0dRfQ0c/8629N4rLdTQexGkI4iKICjYERUVC9h9/SmogAWwI2IBG4IgiCIdRKT3nlAT0iG9b5/3j8HECKgosCGcz/Pss8m0PXdzd3L2zp178fHxYdSoUUycOLHKdg6HA7vdXvH71q1bKSwspLCwkC5dulTZ9u6772b27NmAdj/A8uXLeeyxxxg+fDgGg4HBgwfz9ttvX0CJhRBXC6vZzo5fc0DxwKdgJx7t9jMn93auqR9CmK+7q8MTV6EbWkTy6pIQUi3NSInfQLN9PSj1jmbDF3sY3jwSRSdXkYQQoKiqqro6iCtJWloaMTExpKamXvBNwjWNw+EgOzubkJCQq77/m6hUE+rFxk83s2dHOYrTTpLPa4zxOUFf8/tMHdGBgc3PPRO2+Gs1oV642iNzdlFyYDkP+b7D5kPXYPIcA0DvEXVp2K22a4P7D6RuiHORelHpQnLPC+qKs2zZsgsOJjs7m127dl3wfkII4QqlhRb2by8GwC9vPRHRJ1li74GHpxd9moS5ODpxNRvWNob1zmZElPlyoOVB/PMPAbB5fiIOm9PF0QkhqoMLSuwffPBBWrZsyXvvvUd6+vn79TkcDtasWcOoUaOoW7cuu3fv/s+BCiHE5bB59g4cigG9vZyttVcwvKSEb+y9ualFJG6Gq7vVSLjWNXHBhPt5MsfRm8GOIk65/QCqk1Kbib0rjrk6PCFENXBBfeyPHj3K9OnTeeeddxg7diwxMTE0b96ckJAQ3NzcKCgoICkpiX379mG327nhhhvYsGEDLVq0uFTxCyHERZOXWcrhQ+Wg6AjIXkFg8xz2Zbckg2CGtv3rOS+EuNT0OoUhraP5+pfuPFr6PbPapHPruq2cDuvEzqXJNOlRB3cvo6vDFEK40AW12Lu5uTF27FhOnDjBmjVruPPOO7FarezYsYM1a9aQlJREw4YNeeedd0hNTWXBggWS1AshrhgbZu8CRYebOZ91DX7lruIivnD0pXGEL02jZEIq4Xq3tImmAB+W2Dtzo6OYk94/o3NYsToN7Fh8xNXhCSFc7F+PitO9e3e6d+9+EUMRQgjXST+ST+pJGwD+2T/h1rYENTuUTc54Xm57dd8oL6qP2sFetK8TyBfJ/VhQ/Cu3tCtg9IpfSIvpx/7fMmnety6+wR6uDlMI4SL/ehx7IYSoKVRVZcNX+wDwLkljVfwO7i0u4gt7H0x6PYNaytj1ovoY1jaGBLUWBx0N6auWcCRwFUZrMU5Vx5YFiX9/ACFEjfWvW+wBUlNT+eGHH0hNTcVsNldZpygK77777n8KTgghLodjO0+Tk+0AwC97EZYuFhqc1rPQ0ZXezUIJ8DK5OEIhKg1oFs7Liw8w296X8UUfMqyDD88sXkZSvWEc3ZNPy5NFhNbydXWYQggX+NeJ/Xfffcedd96J0+kkNDQUk6nqPz5J7IUQVwKHzcmmeQkABOYdYmnLI4wsKmK+rSsleMpNs6La8TQZuKFFJAu2t2W8059rKONAxEaCy7pT7hnKxnmJDHq6HYoik1YJcbX5111xXnjhBQYNGkROTg7p6ekkJSVVeZw4ceJiximEEJfEgfXplBQ7QXXinbeYnLp2upab+dLRhzBfN7rVD3F1iEKcZWjbaOwYmG3txT2FxfzYUSX25I8AZJwo4eSBXBdHKIRwhX+d2GdnZ/PAAw/g5ycjRQghrkyWMhvbf9TG/w4/tY2f2mRwT3Ex22nKMTWaIa2j0euk1VNUP61jA6gb4sVcR09q2RWaKWZ21t6Db6HWqLZpwRGcDpm0Soirzb9O7K+77jq2bNlyMWMRQojLateKk1gsKjqnDffCn0iu76R/SSmfWXsDSDccUW0pisKwtjHk4cvPzk7cW1jEjx10xJ5cBED+KTOJW7JcHKUQ4nL7133sZ8yYwa233kpZWRm9evXC39//rG1at279X2ITQohLpjjPzN7VKQBEp/3C4g5F3FFUTLE+hNXONrSrHUCdYC8XRynE+Q1uFcVbKw7zqbUPPym/UivAyub6SdTN3kN2SEu2/nCM+m3DMLrJjMlCXC3+dWJfXFxMWVkZkydP5vXXX6+yTlVVFEXB4XD85wCFEOJS2LL4OA4HGG0l6EtWcqiByjupJUy39ceBXlrrRbUX6utOj4YhrE5QOWxswqjCJF7sGMyUzxeTE9SMsmLYszqFdtfXcXWoQojL5F8n9nfddRcpKSm8//77NGjQ4KxRcYQQoro6fbKII1tPAVA7eSnzO1u4tagENwx8a++Bj7uBG5pHujhKIf7ebe1iWZ1wmg9Le/Ku6QPCAmz8Gp9N48wNpEddy+4VJ4nvGoWnr/yPFuJq8K8T+23btjFnzhwGDRp0EcMRQohLS1VVNi7Qbpj1KDuFw7aBPQ0VXk8tZqXSjVz8uLNlFB4m6b4gqr/uDUMI93VnWVF7JhmDGVlQxOQOQfT8ZClZYe2x4cH2JUlcO6Khq0MVQlwG//rm2fr162O32y9mLEIIcckl78sh42gBAHEnfuC7rio3lZQQ5HTyQXkfAIa3j3VhhEL8cwa9jmFnhr78ytaT/qVl+JqcrGlRSq2UVQAc3JBOflapiyMVQlwO/zqxnzZtGhMnTiQxUaavFkJcGRwOJ5sWHgfAr+AY+cZ97IpTuLuwmCPuzTmo1qFFtB9NImXWTnHlGNYuBkWBWebu6BQDIwsK+am9juDTazFZClCdsHnRcVeHKYS4DP51Yv/EE0+QlpZG06ZNiY2NpXnz5lUeLVq0uJhxCiHEf3botwwKTpUBUP/4QuZdq+O6sjJi7HbeLu4FSGu9uPJEB3hybYMQsvFng3s3biopwd1dYWVrO3WTlgCQtLfySpUQoub6133s27RpI9NVCyGuGJZyO9uWJAEQdmo7af4n2V9bz4T0IorcI1lhboOXSc8NLeSmWXHlua1dLOsOZzO1oDuL3dZyd34+H7fzp9+OLXiV9KDUO4pNC48x5Bn53y1ETfavE/vZs2dfxDCEEOLS2rX8JOYSGzqnjbpJPzLpFj09yi3Ut9n4gL440XFjyyi83P71aVEIl+nVOJQQHzf2FseR7tWEocUJfBIUxPK2Tron/sDe5o9wKqmI47uyiWsT6upwhRCXyL/uiiOEEFeK4jwze9dUTkaVGJnP4RiFB/ILsBu8+Lj4GgBGSDcccYUy6nUMbRMNwPSy3nipKiPy81nSXodHySEC8rX74Tb/cByH3enKUIUQl5Ak9kKIGm/L4uM47CpGWwm1UlYyr5uOTlYHTa1WNnj1pRhP4iN9aRbt5+pQhfjXbmunfTGdV96Wcvcwbi8qxulhYFlbhbjjiwAoyi7nwK/prgxTCHEJSWIvhKjR/jwZ1a66Zk5EKNyfm4OKwms5XQG5aVZc+WKDPLkmLhg7Bn5wG4i/08nQoiKWtNeht6URlrUNgB1Lk7GU2VwcrRDiUpDEXghRY/15MqrIzA18101HS4eetmYLJ4O6cswRjodRz00t5aZZceX7/Qvq5FMdcBo9uaugAKuHnp/bKtRN+gmd04a51MauFSddHKkQ4lKQxF4IUWP9eTKqTY2cpIYo3J+diQK8V6pNSHVDiwh83I2uC1SIi6RPkzCCvEwU4c2uwIGEORzcWGbl5/Y6VCWf6LRfANi7Jo3iPLOLoxVCXGyS2AshaqQ/T0YVmLeP77rqaKS407XcTKl/QxYW1AXgNumGI2oIk0HHLWduon0l+1pUFEbmnsbsruOHDgq1UlZisJXisDvZ+uMJF0crhLjYqk1in5iYSJ8+ffDy8iI8PJxnnnkGq9X6t/tNnz6dgQMHEhISgqIoLFiw4Kxt1q1bh6IoZz1uu+22S1EUIUQ1cODX9CqTUa1rpnAqUGFUVhoKsMB4A6AQH+lLqxh/V4YqxEU1okMsigL7ygLIjOhNrN1OP5uOZW0Vyt2t1Dm5DIDDW7PITi12cbRCiIupWiT2+fn59OzZE6vVysKFC5k0aRIzZ85k3Lhxf7vvl19+SU5ODgMGDPjbbWfNmsXmzZsrHq+99trFCF8IUc2Ul1jZ/vtkVFnb8CpPYUEXHbV1nvQuK8PhGcrktGYA3NWplkzYI2qUWkFeXNsgBIAPyvsCMOpUGhaTwrwuKlHp63EvzwYVNi885spQhRAXWbWYiWXGjBkUFRWxaNEiAgMDAbDb7Tz88MO88MILREae/6a2TZs2odPpSE5O5ssvv/zL12natClt27a9qLELIaqfbT8mYSmzo3NYiTvxAytbQK6fwpOnM9ED64NvwZxnxNfdwI0tolwdrhAX3V2darHucDZzsiJ5MbYVDU7vpiderG1Rws3bFeqd+JGD8feRmpBPysFcYuODXB2yEOIiqBYt9suWLaN3794VST3AsGHDcDqdrFy58i/31emqRRGEENVEbnoJB3/TxumulbICnVrMws46ahl86F9ciGr04uX09gAMbRuDh0nvynCFuCSubRBKdIAHoLDIbRAAo9OP4dArfHONk9DsXfgUJQOwaeExnE7VZbEKIS6eapEVJyYm0qhRoyrL/P39iYiIIDEx8aK9zoABA9Dr9URHR/P0009TXl5+0Y4thHA9VVX57bsjqCq4m/OITV3Dj+1UCr0VHsg5jQE4ETuEpFITAHd0rOXagIW4RPQ6paJ+T0qOw+kbTWOrjR6GIDY1UcgMN1VMWpWbXkri5kxXhiuEuEiqRVec/Px8/P39z1oeEBBAXl7efz6+n58fzzzzDN26dcPDw4O1a9cyZcoUEhISWLJkyV/uW1RURFFRUcXvmZnayc/hcOBwOP5zbFcyh8OB0+m86t8HUZUr60XSnhzSDxcAEHd8IVYP+LGDjlijHwPyU1AVPW8V9gCga/1gYgPcpf5eJnK+uPyGtIpk2qojlNqcbAsdRseiaTyYephfIoL5oqud5+cfIzhnLznBLdjyw3HqtAjC5HH50wKpG+JcpF5UupD3oFok9pdaq1ataNWqVcXvPXv2JCIigjFjxrBt2zbat29/3n2nTZvGhAkTzlqem5uLm5vbJYn3SuF0OiksLASkS5So5Kp64bA52bBAG97Sv+AoIdm7+aKXjnJ3Hffl5WMATkf3ZflR7XN7Y2M/srOzL1t8Vzs5X7hG7/oBLE3I5aXUViw3eRNvLuEaQwgb6p3mRKwbcccXkRvUlPJi2LAwkWZ9wy57jFI3xLlIvaiUm5v7j7etFol9QEBAxR/vj/Lz86v0u7+Yhg0bxpgxY9i5c+dfJvbjxo1j1KhRFb9nZmbSvn17goKCCAkJuSSxXSl+/wYZHByMXi/9lIXGVfVi98oUSvNtoKrUP7aA4kB3Vra2EeMWwI1JewGYY7oFgCh/d25qF4deJ6PhXC5yvnCNUdcaWZqQy5FCPamtRlArYSZjMo+zIcSXWd3svPp1NjGpa0iJ7cuxrXm07lMX/1DPyxqj1A1xLlIvKlksln+8bbVI7Bs1anRWX/rCwkIyMzPP6nt/ufn6+uLr63vWcr1ef9VXNNC+Rct7If7scteL0kILu5anABCZuRGfkjTev0GH3aDj/hIbBsBW61o+PuINOLi9Yy1Mxmpx+ruqyPni8mtdO4jm0X7sSyvk3ZI+TNN/QXxJAd1qNWF9TBoJDT2pf2w5WZGdsOLDloUnuP6RFpc9Tqkb4lykXmgupPzV4tpG//79Wb16NQUFBRXL5s+fj06no2/fvpfkNefOnQtAu3btLsnxhRCXz5YfjmOzODA4LdRN+omcaB82xCtEuQcxMO0QAGsCb6Xc5sCk13Fr2xgXRyzE5XPnmZtofzhmo6TxMAAeStO6rX3a1YJetVLvqHYjbfL+XE4e/OeX/YUQ1Uu1aLIaPXo077//PoMGDeKFF14gPT2dp59+mtGjR1cZw75Xr16cPHmSY8cqJ9TYsWMHycnJFX1lt2zZAkBISAjXXnstAHfccQdxcXG0bt0ad3d31q5dy9tvv82gQYNkXHshrnCnkotI3JwFQO0TP2OylfBxZx2qouNBqwkjoIbF8+aRSKCMgc0jCPK+uu+PEVeXG1pEMnFpAgVlNr4x3MSDyjc0LTxF19hr+Y0ktrf2pt2ObaTHdqfIK5YN3x0l+qUA9Ppq0fYnhLgA1eJTGxAQwJo1azAYDAwaNIjnnnuOUaNGMW3atCrbORwO7HZ7lWUffPABQ4cO5eGHHwZg6tSpDB06lJdffrlim/j4eBYsWMDtt9/OwIEDWbRoES+88ALz5s279IUTQlwyqqqy4bsjAHja8ohOX0d6g0D21lWI8ghl4PGtABypew8ncssAuKOTDHEpri7uRj3Dzlyl+ng/OBrfBMBDmckAfNaxDNXNQP1E7X9iwaky9v+S5pJYhRD/TbVosQdo3Lgxq1ev/stt1q1bd9ay2bNnM3v27L/c7/nnn+f555//D9EJIaqjo9tPkXVCG442LnEeOtXBB50KQVG43+mFEcAvhikZzYA8mkb50irG34URC+Ead3SoxSe/nSCv1MqaoBH0ZRHNck5yTVRPNnCMtZ296P1LMuGnt5EV2p7tS5Jo0D4cT1+Tq0MXQlyAatFiL4QQF8pmcbBpodZPOKj4KEG5BzjaKoTjkQoxnuHcePg3ALKbj2bVYW0+jJFd6qAoMhKOuPrEBnnSu7E2lOW0/e6o9XoCMOa0NjfLV62Ksft5Ue/YIgzYsZodbF183GXxCiH+HUnshRBXpB3LkiktsKCgEpcwF4wG3uugJfAPE4BRdYJXKB8UdAQg1MeNgc0j/+qQQtRoo66pA0BiVjEHao8EID4zgV6BzSh3U1jU1YibtYjYE9rEjYc2ZXIqqei8xxNCVD+S2Ashrjj5WaXsWaUNbxmT8SteZVlsvyaEUwEKcT616J+wFoCytg8xb492Y/3dnWtjMsgpT1y92tcJpGmUNnzztKOhENkagDG5OSgoLGxSjDkikNjUX/ByFoIK6+cexulUXRm2EOICyH85IcQVRVVVfpt3BKdDxV0xU/v4Tzh9vZne8jQAY3RB6J02cPfna3svzDYn7kYdI9rHujhyIVxLURRGXVMXgF+O5JDZbDQAcclbuT68Iw69whfdHOhUO3H7vwTg9MliDm3IcFnMQogLI4m9EOKKcnxXNqkJ+QDUPTgHg8PMip5+lLkrxAc0pOeBFQDY24/m021aa/2Q1tEEeMlNgEIMaBZBmK823OsHmY0gqD4AD+fkYFAMrKlTQlHDSILyEwkrOwxo80SUl1hdFrMQ4p+TxF4IccWwmu1sXHAUgEB7JmGnd2KPDuXLBto49o/qglHs5WDyZrnXDZwu1qbhHnmmb7EQVzuTQcddnWoD8P3uDEraPwZAzNE1DIrsCorCB12KAai390v0OieWMjtbFsmNtEJcCSSxF0JcMXYuS6Yk34KiqMTt+gwF+LaXCYdeoXVwczrv0276U9vex0dbtVb9no1CqRfi7cKohahebu8Qi4dRj9nm5IuSdhCgffF9MDsTk87EnrBysjrXx91SQJ3UlQAc2phJ1olCV4YthPgHJLEXQlwR8jJL2bMqFYBa+dvwLsukvHk9forQhut7zBCOYi0Ggzu7okZwMEMbzeM+aa0Xogp/TxND2kQB8MWWdOxdngQg/PBKhsX0AuDNtpng7kb0saV4G8oBWD/3iNxIK0Q1J4m9EKLaq7hh1qniYbQTu38eKAofd7OAotAlvANt9nyvbdz6LmbsLAGgUbgPnesFuTByIaqne7toX3hPF1v4iWvAX5uReVRWCh4GD9K8zBzt3wSd6iBu92cAZKcUc+i3dJfFLIT4e5LYCyGqvWM7T5OWqHWtiTv8HQaHhfweLdjkc6ZvvSEcyvNBZyC18ShWJ5wCtNZ6mZBKiLPVC/GmV6NQAD7ZmIbaVWu1D0pcxh2x/QB4PS4RJTSYwNwEIp3a8LJbFp+grEhupBWiupLEXghRrVnKbGz4TrthNsSYT3DKRhQPD95olQZA35iexO+co23cYjif7rOhqhDs7caNLWVCKiHO5/duaocyi9jq0xf8YgC4J+MEfm5+FBts/HZjbQBqb/0YgwEsZZU3sAshqh9J7IUQ1drmH7QWQp0O6m18HwU4PqgVJ0wFGHQGHscfynJBZyC/7eN8t0NL+O/sWAs3g96lsQtRnXWqF0TjCG3CqhkbU6HrOAB8E37mwTqDAHg/eA/EN8DdUkDc6V8AOLLtFKmH8lwRshDib0hiL4SotjKPF3JwvdanN650B55lp9DFRDGx9j4Abq03iNhts7WNW93J5wedlNsceJr03NWplouiFuLKoCgKo6/VJqxadzibg6EDwTcKULk15QBR3lGoCsy9zhOA8P0LCfDSuuGs+/YwdqvDVaELIc5DEnshRLXksDtZ900iAL5eDiK3fQXA+sH1KMaMt9GbB8oBcwHoTZR0eIIvNiUDMKJ9rExIJcQ/cH2zCGIDtcR9+oY0uGYsAKaDP/BE3DAAFpoOYOndEZ3qpP6Oj1EUKMouZ/vSZFeFLYQ4D0nshRDV0p7VKeRllALQ4MAX6FQ7us5t+dBrKwD3NRpB4DZttA7a3MM3CQ6KzHaMeoVRXeu6KmwhrigGvY4Hz7TaL92fyYnYweATCaj0PbqRpkFNAXi3Qx6KhwfepxKp564NO7tnZQq56SWuCl0IcQ6S2Ashqp3C7DK2/5wMQG2fHHxP7gSjka/7mHCoDsI8w7gjLxcshWBwx9zxcT7dkATAkNbRhPu5uzB6Ia4sQ1pHE+LjhqrCxxvS4ZonANAd+J5xdQcDsMN5guxh1wIQufJtvLx0OJ0q6745jCpj2wtRbUhiL4SoVlRVSxYcNifunjpiVk8DwHZLP36wbgNgTJN7cN/2ibZD2/tYcMRBdrEFnQIPXlvPVaELcUVyN+q5v6s2Qs7C3Wlkxg0D32hApd3eRVwbrSX0E+vsx1inNgaHhUbpPwGQdaKQgxsyXBW6EOJPJLEXQlQrR7adqhizvnHJRozlhRhCQni7qXb5v35AfW5IPwLWEjB6Yu/0GB+vPw7AgGYR1An2clnsQlypRnSohZ+HEZtD5ZNNmdD9OW3F4Z8ZG9UbnaIj3XKKvXe2A8Bvz1Jigs0AbF50nNJCi6tCF0L8gST2Qohqo7zYWjFGdkSYiv/6rwHIuqcfO0oOAvBkk/vQbz/TWt/+fpaccJCap015/1B3aa0X4t/wdjNw95mRpL7dlkJe/SEQ3ACAels+5ea4mwGYymrc+/YCoNYvb2N002Ett/Pb3COuCVwIUYUk9kKIauO3eUcoL7ZhMOqot+lDFMCtVUte8/0VgI4RHel8bCPYysDkjbPTY3y0Tmut79EwhPhIPxdGL8SV7Z4udfAw6im3OZi9JQ16/J+2Ivk3HglogYfBg2JbMQuv80Xx9MSUm0YTfQIAx3dnc2znaRdGL4QASeyFENXEiT3ZHN2hJQbx3smYUhPAYGDDiHgyyjLRKTqebnQnyvZPtR06jGZNioPDp4oBeLhHnKtCF6JGCPQyMbx9LACzNyZRUu96iGgJQMhv73Jf0/sA+DLnZ7h3qLbP0vcJizAAsH7uYcpLrJc/cCFEBUnshRAuZy618eucwwCERhgJ/HEqAG63D+X9wsUADG0wlAY7vwWHBTwCUDuP4cNfjgHQrnYA7WoHuiZ4IWqQ+7vVwahXKDLbmbMtBXq9pK3I2M3d+mCivKNwqk6m1EvEVK8eCioN98/CYNRRXmzjt3lHXVsAIa5yktgLIVxuw/yjlBVZ0RsUGiV+jeKwY4yM5NM2BZgdZnxNvoyJ7Al7v9V26PY0G9Mc7EktAKS1XoiLJcLPg8GtogGYuT6J8phroXZXANzXvcGTrbUJrLZm7yTtgf4AGA5soVmUdsP70e2nSNqb7YLIhRAgib0QwsWS9+dweEsWAM1iizHsXg9A8WPD+SlzFQBjWo3B/9cpgAr+saht72PqKq2Fv1mUH90bhLgkdiFqooe610OvU8gpsfDV1pPQ62VtRc5heudn0z68PQCTbD/iNeA6AAK/m0hYtAcA6+Ycxlxqc0nsQlztJLEXQriMpdzOum+0BD0kyoPA+ZMA8O7bh8n6lQDE+ccx1BACx9doO/V6mV+OF7I7pQCAcX0aoCjKZY9diJqqdrAXt7TWWu0/WnecktBW0HAAAMqvr/Ns63HoFB0ZpRmsvCkanZ8falkpTdIWoTfoKCusHN1KCHF5VZvEPjExkT59+uDl5UV4eDjPPPMMVuvf34Qzffp0Bg4cSEhICIqisGDBgnNul5GRwZAhQ/Dx8SEwMJBRo0ZRVFR0sYshhLgAm74/RmmBBZ1eoVneSiguROfpyc7bWpCQp4228VzbZzCsnqDtENESNf5mpq3ShtZrHetP94bSWi/ExfZorziMeoX8MhuzNyZBz/8BChSm0uDIGoY1GAbAx6lzcX/8AQCUdT/RvL72fztxcxYnD+a6KnwhrlrVIrHPz8+nZ8+eWK1WFi5cyKRJk5g5cybjxo37232//PJLcnJyGDBgwHm3sdls9OvXjyNHjjBnzhw++ugjVqxYwYgRIy5mMYQQFyDlUC6HzsxY2aKZHpbNBcBnzINMS/kCgN6xvemQmwpZ+7Sd+rzCikPZHEjXvpQ/2behtNYLcQlEB3hya7sYAGauP0Ghb31oebu2cv1bjGk4HD83P8wOMx9GJuDZoQMAgfMnEhLlCcC6rxOxlEmXHCEup2qR2M+YMYOioiIWLVpEv379GDlyJG+++SYzZswgI+Ovp6retGkTW7ZsYcKECefdZsGCBRw8eJAFCxZwww03cOutt/LZZ5/x888/s23btotdHCHE3zCX2FjzhdYiHxzpSfCCiQC4NWnM141zybfkY9KZeLLlGFjzqrZTXG+ctbvx9pnW+g51AulcL8gl8QtxNRjToz4mg44is53PNiRBzxfB6AWWIvw2fcgjLR8BYNnJ5eQ+NhTFZELNOU2z0l/QGRRK8i2sl4mrhLisqkViv2zZMnr37k1gYOVwdcOGDcPpdLJy5cq/3Fen+/siLFu2jObNm9OwYcOKZX369CEwMJClS5f++8CFEBdMVVXWzTlMWaEVvUFHK+dmHGkpoNdjfeo+5hydB8Dd8XcTnbAUClMABXpPYMn+zIpx66W1XohLK9zPnTs6aLPRfr4hiXx9EFzzhLZyxyyG+jenfkB9AF5N+5TARx7S1v3wJa1bamPbH9l2iqM7Tl3u0IW4alWLxD4xMZFGjRpVWebv709ERASJiYmX5PiKotCoUaOLcnwhxD93ZNspju/SJqJq09aEY94nAATeN5JXC+bgUB1EekUyqv4tsH6KtlPLEdhDmvDOaq31r2v9YNrXkXHrhbjUHupeDw+jnhKLnY/Xn4BOY8A3ClQHhtUv8UL7FwA4VnCMnzvocTvzvzZw/kQi6vkC8Oucw5TkW1xWBiGuJgZXBwBaH3t/f/+zlgcEBJCXl+fS4xcVFVW5yTYzMxMAh8OBw+H4z7FdyRwOB06n86p/H0RVf1UvivPMrJ+rjYITGeeL/7cvYldVTHXrsq5XKPv2aH3pn2v3HO7r3wZzAarBHWe3Z1m0O40T2aUAjO0VJ/XuCiPniytToKeBOzvGMvO3JL7YlMy9nWMJ6fkSuh8ehGOradXuAW6qdxOLjy9m+oGZdH92Etz3BPaTJ2np2EyOe3MsZXbWfHGI6x9phqI7+yqb1A1xLlIvKl3Ie1AtEvvqbNq0aefsv5+bm4ubm5sLIqo+nE4nhYWFwD/rEiWuDuerF6pT5bcvT2Itd2B009GgcBX2kydBp8Py2P28feB1ALqGdaVZiQ5lx2cAlLa4j4JyE++sOgBAlzp+RLrbyM6WSXCuJHK+uHINaeLL11t1lFkdvL38IE9060ZgaHNMp/fhXP4Cd970Jb+k/EKRrYjX8ubyf4NvxrLgeyxfzqDp0x+weyukJeazZekR4jqcfaVN6oY4F6kXlXJz//kIU9UisQ8ICKj44/1Rfn5+lX73l+L4MTExf7nvuHHjGDVqVMXvmZmZtG/fnqCgIEJCru5h9n7/BhkcHIxer3dxNKK6OF+92Ls2jezkMgA6dvFAN/5rAALuupOp7hsptZfiZfTixc4vEvT9KBTVgeoXjUef5/lhdy7phdowes8OiCckxPfyFkr8Z3K+uHKFACO7lPDBL8dZuD+HMX2aoB/wBszujzH/GPVPbeSptk/x0uaX2JazjaPDX6Pe1q3YUtMInT+F2tdPJHl/HgdWn6ZR2xgCwj2rHF/qhjgXqReVLJZ/3pWtWiT25+rrXlhYSGZm5ll94//t8ffv319lmaqqHD58mD59+vzlvr6+vvj6np1E6PX6q76igfYtWt4L8Wd/rhe56SVsW5wEQFzrYDy/fAGb04mxViwnhnZg+YbHAHi01aNEpmyBkxsBUPpOxKx48O7aYwD0bxpO85gAF5RIXAxyvrhy3d+tHl9tSaGw3Mbbq48xdVhniB8MBxeiWzeZQY/u4qfwdmzP2s6bB9/ju1fGc3rkg9hOnKBZ0VpO+banvMjK2i8SGfJsG/T6qi2wUjfEuUi90FxI+avFtY3+/fuzevVqCgoKKpbNnz8fnU5H3759L8rx9+7dy9GjlTPhrVmzhtzc3L8c/14I8d/ZrQ5WfX4Qh92Jl5+J+JL12I4dByD4lZd5dc+bADQJasJtdW6AlS9qO9bpBk1u4uNfj5NdbMGgU3i6X8PzvYwQ4hLy8zDyaM84ABbuTuNAeiH0Hg96NyjPQ1n/Fi92fBGDzsDp8tPM1G0g8J57ACj98lO6dNLaEbNTitn24wkXlUKImq9aJPajR4/Gx8eHQYMGsXLlSmbNmsXTTz/N6NGjiYyMrNiuV69exMXFVdl3x44dLFiwgGXLlgGwZcsWFixYwK+//lqxzS233EJ8fDxDhgxhyZIlfPfdd4wcOZLrr7+e9u3bX55CCnGV2jD/KLnppaDANd3cKP5sBgABt9/Ol8YdpJWkoVN0vNTpJfSb3oOidFD00P9NMovMzPxNSwLu6FiLuiHeriyKEFe1OzvVIjbQE1WFiT8noPrHQucx2sqtM6hbXsZ9Te8D4NvEb8m5ow+mevVAVdFPf4n4zqEA7FqRQorMSivEJVEtEvuAgADWrFmDwWBg0KBBPPfcc4waNYpp06ZV2c7hcGC326ss++CDDxg6dCgPP/wwAFOnTmXo0KG8/PLLFdsYjUaWL19O/fr1GT58OA8++CB9+vRhzpw5l75wQlzFju44xcHftEnmWveMhPdeBIcDY2wsxSNvYtbBWQCMaDSCeMUTNr6n7dj+AQhtzJQVRzDbnPi6G3i8V31XFUMIAbgZ9DzXX+seu/lELmsSTkPXp8AvFlQHLBnL/U3vI9YnFhWVCbsmEzrpVdDrsaWmUj9pEUHR2pfz1bMPUVooQ2AKcbFVi8QeoHHjxqxevZqysjJOnTrFW2+9hclkqrLNunXrSE5OrrJs9uzZqKp61mPdunVVtouKiuL777+nuLiY/Px8Pvvss3P2nRdCXBxFOeWs+1q7dyainh+xe7/FdlKbiCrsjUn8b/dE7E47oZ6hjGk1Bla8AA4LeAZD9+c4kF7Iwt1pADzWqz4BXqa/ejkhxGXQv2k4bWtp97lMWpaATe8OA7TudKRtw23fd7zYUetOl5CXwBy2EfTA/QAUfTuHrq0tGNz0lBfbWPX5QZxO1SXlEKKmqjaJvRCi5nDaVVZ9loDV7MDN00CnRoUULfgOgODRo5mr38XB3IMAjO80Hq/kzXD4zCzQvcejuvtpl/pViA305M5OtVxVFCHEHyiKwv9d3xiAE9mlfLstBRr2h4bXaxusfplOfg0YXH8wADP2zSDvtl4VE1eVvfkS3QbFApB+uICdy5IvexmEqMkksRdCXHQH1pwiO6UYgO6DoiiepLXgubdoTt5tPZm+dzoAN8fdTNfQNrD0SW3HyNbQ8nZWJ5xm8wmtD+5z/RvhZri6R0QQojppFRvAjS20+9/eXnWEwnIb9H8DjJ5Qng+rXuKptk8R7hWO3WnnpW2vEDr5NTAasWdl4fvT+zTsGA7A9iVJZBwtcGFphKhZJLEXQlxUJ/fncnSzNqNz8x7RmL55E0d+PoqnJ6GTJ/K/LeOxO+2EeYbxdLunYd1kyE8GRQcDp2FTYfLSBADa1gqgf9NwF5ZGCHEuz1zXEJNBR36Zjem/HAP/GLj2WW3lnq/xyTzAhE7a5I4JeQl8ZV1P6BNPAFC0dBktPBLwD9NuxF0zOwFLqf08rySEuBCS2AshLpqinHLWfqX1qw+O8aaxfSelv64HIOz55/i6eA0JeVrSPqHzBHxyjsPmD7SdOz0Cka2YszWFEzmlAPzf9Y1RlLOnoBdCuFZ0gCcju9QBYNbGZFLzyrTPcIjWTYefx9E5vB23NLgFgJl7Z3L6po54dekCQO7rE+lxnR96g47SAivbF6VLf3shLgJJ7IUQF4Xd6mD5zANYSu0YTDqu7e1NzlvaTXXevXpxqmczZuzThrocUn8IXcLbw49jQHVCQG3o/gL5pVbeWX0EgBtbRNIqViajEqK6erhHPQK9TFgdTiYtTQC9EQaeGc3u9CHYMp0n2zxJhFcEdtXO/za9RMjEV9EHBaGWl2N+4wW6DNa+HJw6VsrOpcmuK4wQNYQk9kKI/0xVVX6dc7iiX33bgcGUvvosqtmMPjiYkAn/43+b/ofdaSfcK5yn2j4Fmz+ErDMzQg98B0yevLXyMPllNtyNOp65TiajEqI683U38mTfBgAsO5DFb0ezoVZnaHm7tsG61/EuOc2EzlqXnMP5h5mVtYjIN94AwJKYSPDGr2nYMQyAnctSSNqbffkLIkQNIom9EOI/O7g+ncQtWQC0vi4W/58/xXrsGCgKUW+9yedp35OYp3XRmdB5At7Fp7S+9QAtRkC9HuxLK9BG2AAe6R5HdICnS8oihPjnbmsXS7MoPwBeXnwQi90BfV4BzyCwlcHiMXQK78CwBsMA+GTfJ5xs7E/gfSMBKPjma1pFZOEf4Q7A6lmHKDhV5prCCFEDSGIvhPhPMo8X8tt3RwGIjQ+kvm0P1hUrAAh+5BEO13Xj430fA3BLg1voHNEJljwBdrM2Zn2/iTidKv9bfBBVhdpBntzfra6riiOEuAB6ncKrg5qiKHAip5TPNiSBVzBcP1Xb4ORG2DaTcW3HEeUdhV218+z6Z/F+5AHcmzUDIOflF+nQ2xN3LwNWs4OlM/ZjNcvNtEL8G5LYCyH+tdJCC8tn7sfpUPENdqdbN3dyXnsNAM9OHTGOHM6zvz2LU3VS27c2T7d9GvZ8A0naDbX0fwM8A5m3I5W9qQUAjL8xHnejDG8pxJWiZYw/t7aNAeD9NcdILyiH+Ju1B8Dq8XgVZfF619fRK3pOFp1k8q63iJo6BZ2XF86CAtR3J9PrrgYoCuRnlrL2ywRUVW6mFeJCSWIvhPhXHHYnK2YeoKzQisGoo+9dceQ8Nw7VYkEJCiLs9dd5ZdtrZJVmYdQZebPbm3iW5WszzALU7wdNh5BdbKkY3rJvkzC6Nwx1YamEEP/GM9c1wt/TSLnNwcuLD2hJ+YAp2lU5ezksfoSWwc15qMVDACw+vphV9v2Ejx8PgH3fPtyWfE7HQfUAOL4rm92rUlxVHCGuWJLYCyEumKqqrJ97hMzjhQB0v6Mh9o/fxJqUBDodXi/9j8X561h1chUA49qMo3FAQ/hhNJgLwc1Xu1SvKLy65BBFZjteJj3jb4x3ZbGEEP9SoJeJF/prQ12uTjjN8gNZWpec30fJSdkMW2cwqtko2oa1BeDVLa9S1L0F/rePAKDgq6+oaz1AvVYhAGxZdJzk/TmXvzBCXMEksRdCXLA9q1M5tCEDgBa9YghN+pWin38GIPixx0iv58dbO94CoFt0N25vfDts/aiyC86At8A/hnWHT/PjXu04T/ZtSKS/x+UvjBDiohjaNpoOdQIBePnHgxSZbdDkJmg6RNtgzSvo85OZ3HUyfm5+lNpKeXb9s/g/+QT6pk0ByHrpf3TubCQw0gtVhZWfHiQnrcRVRRLiiiOJvRDigpzYk82mhccAqN0siJax+WS9NhEAr2u74XH3CCbtnYTFYSHYI5hXu7yKcvoQrNaGvCP+Zmh+K2VWOy/+cACA5tF+3N25tiuKI4S4SBRFYdLgZpj0Ok4XW3hjmTYSFv3fAq8QrUvODw8T7hHCK51fAWB/zn5mHPoU7wnj0QcHo5aXc/rJx+l/d108fIzYLA5+/nAvpYUWF5ZMiCuHJPZCiH8sO6WYVZ8fBBWCor3p3j+QjCeeALsdY2wska+/ztt73iGpJAkFhcldJxNo8ILv7weHBXwi4fppoCi8teIwafnl6HUKkwc3Q6+TGWaFuNLVC/HmkR5xAHyzNYUtJ3LBKwgGvq1tkLoFNr5Dz9ie3NbwNgBmHZzFHk4SOW0aGAzYUlIonvwS/Uc3RW/UUZJvYen0fdisDlcVS4grhiT2Qoh/pCTfws8f7sVudeLpZ2LAvfU5NfZRHPn56Ly8iPnwA1bkb+K7I98BcG/8vXSM6AhrX4XTB7WDDJoOnoFsS8pj9qZkAO7vWpf4SD8XlUoIcbGN7l6XhmE+ADyzYB9lVjs0vgGaa4k8aydCylaebPsk9QPqo6Iyed9kChtFEvbsswCUrFuHYfkcet2t9ds/fbKYNbMOoTplpBwh/ook9kKIv2U12/l5+l5Kz4yAM2B0U4reGI/l8GFQFCLfeoukIAfjN40HIN4/Xhv9Imk9bPpAO0jHR6BeD8qtDp5ZsBdVhbhQb57oXd91BRNCXHRuBj1vDW2OXqeQklfGm8sPayuunwKBdUF1wPf34W4rZ0q3KXgaPCmwFjDu13F4Dr8F3xtvACDngw8Jy9tLhxu1eS2O785my48nXFUsIa4IktgLIf6Sw+Fk1WcHyUnVbmDrPbIJuqXfULxyJQAhY8fi7NKaJ355ArPDTIhHCC+1fAmjtQwWPQSoENoEer0EwJSVh0nOLUOnwFu3NJcx64WogZpH+zP6Wi0hn70pma0ncsHNB26ZBTojFKbCj49S168Or3Z+FYBDeYeYtHUS4ePH496kCagqGc88S5PoIhp2DAdg1/KTHPwt3WXlEqK6k8ReCHFeqlPll68SSd6fC0Cnm+sRkr2HnPe1Vnjf66/H/757eWb9M6SXpGPQGZjSbQqBJn90PzwERWmgN8HgmWB0Z/PxXD7fmATA/d3q0io2wGVlE0JcWo/1qk/9UG8Anlqwl2KzDSJbQl8tkSfhJ9j+Kb1ie3FbHa2bzqJji/g+dQnRH03HEBaGajaT9vAjXNPTl4g4rcver3MOc3z3aVcUSYhqTxJ7IcQ5qarKxoXHOLwlC4DmPaJpFFFIxrPPAeAeH0/ExNf4cO+HbMrYBMDz7Z+nRUgLvPZ8inJ0uXagPq9CeDMKy208+d0eVBUahHkztncDl5RLCHF5uBn0TB3WAoNOITWvnAk/HdJWdBgNDa7Tfl7xf5B1gHvq30PniM4ATN42mYNKJjEzPkLx9MSRk0PGIw9z3V31CIo6MwzmZwdJS8xzUcmEqL4ksRdCnNOuFSfZuzoVgAbtw2jfwUTa6IdQy8vRhwQT/eEHrD21gU/3fwrAzXE3M7TBUEj+De9tZ0bAiB8MHR4E4KXFB8goNGPS63jn1lbSBUeIq0DzaP+K+2gW7Exj2f5MUBS4abo2SpbDgm7hfRjsFiZfM5ko7yjsTjvj1o2juFYwUVOngE6H5ehRcv7vGQY+1BSfIHecdpWlH+3n9MkiF5dQiOpFEnshxFkObchgyw/aTWqx8UF0GxhG6gMP4sjLQ+flRezMmZx0K+H/NvwfAE2DmvJ/Hf8PpTgT3cJRKKoTNbgB3Pg+KAqL96SzeI82EdVT/RrQJNLXZWUTQlxeD3WPo20trdvd84v2k1Vo1obAHPIpKDqU3KP4rn8ZP5Mv7/Z4F3e9O9nl2Tz565O4detC2HPaVcLS336j+MMp3PBYi4ox7pd8sJeCU2WuLJ4Q1Yok9kKIKo7vPs26b7SJZcLr+tL39jpkPPwQtpQUMBqJ/uB9imsF8/CahymzlxHoHsjbPd7GDR3MvwelNBunwRPnLV+AmzfJOaX83yJtIqqOdQMZdU1dVxZPCHGZ6XUKb9/aEi+TnoIyG0/M243DqULtLnCtlrR7HP0RZet0GgY2ZHzn8QDsPr2b/238H/533k7A7bcDUPDtXBw/zuGGR1tidNdTXmxj8bu7KcmXCayEAEnshRB/cPJgLis/O4iqQmCkFwMeaMKp557CfEBLzCMnTUJp24JH1jxCZmkmJp2Jd3q8Q7hXOKx6CVK3AlDUfSKENMRid/Dot7spsdjx9zQybVhLdDIRlRBXnZhATybe3AyALSfyeH/tUW1Ft6dRG/QHQFn9MhxbzfV1r2dUs1EALE1ayge7PyDs+efwurYbANlTp2HYvIzrH2qO3qCjJM/Cj+/ultlphUASeyHEGScP5rLso/047So+Qe4MfLQF+W9OpHT9bwCEPv00Xtdfx9PrnyYhLwGASV0n0Sq0FRz4HrZMB8DZ/kHMcQMAeH1ZIvvTCwGYOrQFkf4eLiiZEKI6GNQqiqFtogF4b81RNh/PBZ0O56CPsAXEoahOWDASco/zaKtHGVBHO498sv8TFpxYRPTbb+PRujUAWePH43N8M31HxaPoFPKzylj8tiT3QkhiL4SoSOoddic+Qe7cNLYlZZ+8T+HChQAE3HUnAffew+vbXmd92noAnmzzJP1q94OM3fDDI9qBYjqg9p4AwIqDp5i1MRmAUdfUoVfjsMteLiFE9TLhpnjiQr1xqvD43N2cLjaDmy8F101HdfcHcyF8OxydpYRXu7xK27C2AEzcMpGNeTuJmfERbo0agaqS/syzhBYl0GdkE0nuhTij2iT2iYmJ9OnTBy8vL8LDw3nmmWewWq1/u5+qqrz++uvExsbi4eFBp06d2LJlS5Vt1q1bh6IoZz1uu+22S1UcIa4Y50rqLV/NJO/zzwHw6X8dYc89x+xDs5l3eB4Atza8lbvj74aiDPh2ONjLwScChs4GvYnkPDPPfL8PgBbRfjxzXSNXFU8IUY14mgx8OKI17kYdp4stjPlmNzaHE4dfLZxDPgNFBzmHYeH9mBQD7/R4hzp+dXCoDp769SmO2NKJ/fQTTLVqgd1O2mOPE0WqJPdCnFEtEvv8/Hx69uyJ1Wpl4cKFTJo0iZkzZzJu3Li/3feNN97g5ZdfZuzYsSxZsoSIiAj69u3LiRNnTzs9a9YsNm/eXPF47bXXLkVxhLhi/DmpHzS2Fda5s8j9+GMAvHv2JOqNN1hxciVv79SGsLw2+lqea/8ciq1cS+qLM8HgAcO/Bd9ISix2nltynBKLg0AvE9PvaIPJUC1ONUKIaqBhuA+TB2v97bcl5/H68sPairo9oO+Z/8tHlsMvr+Hn5sf0XtMJdA+kzF7GI2se4bS7ldjPP8MQHo5qNpM6+iFiPHMluReCapLYz5gxg6KiIhYtWkS/fv0YOXIkb775JjNmzCAjI+O8+5nNZiZPnsyTTz7J2LFj6dWrF3PnziUwMJApU6actX3Tpk3p2LFjxSMuLu5SFkuIai15f87ZSf2CL8n5QJtV1uvabkS98za/ntrE8789D0CToCa82e1NDCjw/SjI3KMd7OYZENkKVVV5buF+kvPM6BR4f3groqRfvRDiT25uFc09nWsDMHvTSVb8PtlUx4ehxQjt59+mws7ZRPtE82GvD/EweJBdns2olaPIDzAS+/ln6AMCcJaUkHLvSKI9cs5K7mW0HHG1qRaJ/bJly+jduzeBgYEVy4YNG4bT6WTlypXn3W/Tpk0UFRUxbNiwimUmk4nBgwezdOnSSxqzEFeyxC2ZLP1TUm9b/C3Z77wDgFfnzkS/9x5bsncwbt047KqdWr61+LDXh3gaPGDp03D4Z+1gPf8H8YMAeG/NMZYdOAXAU30b0CUu2AWlE0JcCV4Y0LhifPtJq5LZm1qgTV418G2I6ahttGQsJCyhaXBTplw7BYPOQGpxKqNWjqIkwo+YTz5B5+uLo7BQS+5Np6ok9wvf2inj3IurSrVI7BMTE2nUqGofXH9/fyIiIkhMTPzL/YCz9m3cuDEpKSmUl5dXWT5gwAD0ej3R0dE8/fTTZ60X4mqwZ3UKa2YnoDpV/MM8ufnJ1th//o7Tb70FgGeHDkR/+AE78/fx+C+PY3PaiPKO4tO+nxLsEQwb34Edn2kHa3MvdH0SgCX7Mnh79REAetUP4IGudVxRPCHEFcJk0DH9jtaE+7ljcag8+PVuMgvLwegOI+ZCSGP4faSc5I10i+7GW93eQq/oSSpM4oFVD2CtH03srM/R+/nhLCoi5d6RROkyuO7+pugNOorzzHz/1k6ZoVZcNQyuDgC0Pvb+/v5nLQ8ICCAvL+8v93Nzc8Pd3f2s/VRVJT8/Hw8PD/z8/HjmmWfo1q0bHh4erF27lilTppCQkMCSJUv+MraioiKKiipPCJmZmQA4HA4cDscFlLLmcTgcOJ3Oq/59uFKoqsq2H5PYvTIVgJBaPvR/qCllX84kb/pHAHi0aUPkB++zpzCBR9Y8gtlhJswzjJm9ZxLiHoJz5xfoVo/Xjle/H87r3gCnk31phTz53V4AmkX58mKfWKkbogo5X4hzCfI0MmNEC277ZDvZJRZGfbGDufe3x9PkCyPmo5t9HUphGuq3t+G8+2d6RPfg1c6v8n8b/48j+Ud4YOUDfNz7Y6JnfU7aqPtx5OWRct99RH00nQGPNGP5xwcwl9j4YdpurnswnqiGAa4usviH5JxR6ULeg2qR2F9qrVq1olWrVhW/9+zZk4iICMaMGcO2bdto3779efedNm0aEyZMOGt5bm4ubm5ulyTeK4XT6aSwUBujXKerFhd/xHk4HSq7l2SSvLsAgNC6XnQYGk72m69iWbgIAEOrVri9+gqbMnbxzI5nKLeXE2AK4PXWr2MqN1F04Cv8V48FwBragvxur6Pm5pNRaGHUvEQsdich3kZe6xeLubSYnByd1AtRQc4X4nxCjU6euiaE19ad4mBGEQ99tZ3XB9bDoDOiv24mQYtHoDMXwNeDyRv0Le182zGu6TimHpjKobxDPLjyQV5v8zpe06ZSPHYcan4+aQ+OxnviRLrd3YQNX6dgKXXw84f7aT8kiqgmvq4usvgH5JxRKTc39x9vWy0S+4CAgIo/3h/l5+dX6Xd/rv0sFgtms7lKq31+fj6KohAQcP5v5sOGDWPMmDHs3LnzLxP7cePGMWrUqIrfMzMzad++PUFBQYSEhPxd0Wq0379BBgcHo9frXRyNOB+b2cGa2Qkk7y8AoF7rEHqMqEf2hJex/KRdsfLq2ZOIKW9xsPgIL6x9gTJ7Gf5u/nzS5xPi/OPg+Fp0a55CUZ2oIY3R37WQYI8A8kqtPPn1FvLK7Hia9Hx6V1sah3uTk5Mj9UJUIecLcT4Oh4MBzaHc4MPU1cfYcKKQDzaf5rWb4lFCQlBHzEf9ahD6smyClz+I856l3NnyTkweJiZvn8yhgkOM3z+ed7u/S+BXX5I68j4cp09T+sILhL/xBoOfuoYlH+yjONfMlvlpXHNLHE27R7m62OJvyDmjksXyz28CrxaJfaNGjc7qS19YWEhmZuZZ/ef/vB/A4cOHadGiRcXyxMTEinHt/ytfX198fc/+dq/X66/6igbat2h5L6qv4jwzP0/fR25aCQBNu0XRZVAsmePGUbJuHQB+N99MxKuvsC17J4+tfYwyexk+Jh9m9plJw6CGcGIdfHcHOG0QUAflrh/QewdTbnXw4Ne7SMopQ69TmH57a1rEBuJwOKReiHOSeiHOR6fT8VD3epwqsfL1lhTmbk8jyt+TR3vVh9j2cOuXMOdWlLzj6L++Ge7+iRFNRmBTbUzZMYVdp3fxwOoHmNFnBrW//oqT99yDPSOTzHHjCHv+OYY8cys/vbeH3PRSNsw/RsGpcq65tT56/dXdElzdyTlDcyHlrxY1un///qxevZqCgoKKZfPnz0en09G3b9/z7te5c2d8fX2ZP39+xTKbzcbChQsZMGDAX77m3LlzAWjXrt1/C16IairrRCHzJ2/XknoFOt1cjy79Q0l/4IGKpD7w7ruImPgaazN+5aHVD1FmLyPIPYhZ/WbROKgxnPgV5twGdjP4RsNdP4BPOFa7k4e+2cmulAIAXh/cjO4NQ11WViHElU9RFCbc2JQ+TbRZqqeuOsJXm5O1lXG9YfBMbQKr04fgy5ugNJe74+/mhQ4vAJCQl8Ddy+4mN9BI7W/nVsxQe2rSZEo+eodBY1sS20TrBXBgfTo/vbcXc6nNFUUV4pKpFon96NGj8fHxYdCgQaxcuZJZs2bx9NNPM3r0aCIjIyu269WrV5Wx593d3Xn++eeZMmUK7777LmvXrmX48OHk5uby1FNPVWx3xx13MH78eH788UdWrlzJc889x1NPPcWgQYNo27btZS2rEJfD4S2ZLJq2i/JiGwY3PQNGNyO+vpOTtw2nbMcOAEIef4zQ557jxxM/MW7dOGxOG5FekXzR/wsaBp5pqZ9zqzarrG8U3PMTBNTG4VQZO28P6w5nA9qwlkPbxriwtEKImkKvU3jvtlYVw2D+b/FBFu5K01Y2HQI3f6wl96cOaMl9STbDGw1nctfJ6BU9yUXJ3LX8LtLcS6n19Vd4de4MQN7s2eT87zn6j2pE857RAKQfzmfB6zvIzyp1SVmFuBSqRWIfEBDAmjVrMBgMDBo0iOeee45Ro0Yxbdq0Kts5HA7sdnuVZc8++ywvv/wyU6ZMYcCAAaSlpbFixQrq1q1bsU18fDwLFizg9ttvZ+DAgSxatIgXXniBefPmXZbyCXG5OJ0qmxcdZ/XsBJx2Fe9AN4Y83YbQ0qMk33Yb1pMnwWAg/JUJBD/0EN8kfMOLG1/EqTqp61eXL/t/SS3fWnB4GXwzTEvqfSLh7p8gsC5Op8pz3+/j5/3a6FAPXluXR3rIRG9CiIvHw6Tn83vb0TRK6wb79IJ9LD+gnXNoPgwGfQQocGo/fN4P8k8ysO5A3u3xLm56N7JKs7hn+T0ctqQQ8/EM/AYNAqB42XLSHhhF576hdL+9ITqdQmF2OQve2EnKwX9+c6IQ1Zmiqqrq6iCuJGlpacTExJCamkp0dLSrw3Eph8NBdnY2ISEhV33/t+qgrMjKqs8PkpaYD0B4XT/6j26G5efvyXptIjgc6Pz8iH73Xdzbt+XdXe8y6+AsAJoGNWV67+kEuAfAge9h4QPgtINfrNb9JqgeTqfK8wv3M2+HNlzm7R1ieW1QUxRFqRKH1AtxLlIvxPmcr27klli4deYWjp0uwaBT+GBEK65rGqGt3L8AFj2onad8IuDORRDamO1Z23l07aOU2krxMnox5dopdInsQs7775NzZlhfY0wM0e+/R44SxvKZ+7GU2kGBdgNq0/b6Ouh0yrnCFJeZnDMqXUjuWS1a7IUQ/0364XzmvbatIqlv1DmCmx5tRtG7b5I14RVwODDVqUOdeXOhTVMe/+XxiqS+fXh7Pu33qZbUb/sEFtyn/bMMioORyyCoHg6nyjPf76tI6m9pE82rN52d1AshxMUS5O3GN6M6UDfYC7tT5ZE5u1l65mohzW6B4fPA4AHFmfD5dZC6jXbh7fis32cEuAVQaivlkTWP8HXC1wQ/+ijhr74CRiO21FSSbxuOz9FN3PJsWwIjvUCF7T8n89N7eygrsrq24EL8B5LYC3EFU50qO5Yms/id3ZQVWTEYdfS8qzHd+gWRfv995H/zDQBenTtTe95cTgcZuGPpHfya9isAg+IG8VHvj/AyeMLqCbD0KUCFsKZw7zLwi8bmcPLkd3tYsFPr5zqsbTRvDmkurVpCiEsuzNeduQ90pG6IFw6nyqPf7uaH3enayvq94e4fwd0fzAVan/tjq4kPiueb67+hnl89nKqTN7e/yYTNE/AePIhaX3yBPiQY1Wwm46mnsHz2HkOeakmjztqVgLRErZEk/XC+y8osxH8hib0QV6iyIitLPtjL1h9PoKoQEO7JLc+1JcZ5gqSbb664STZgxAhiZn7MnvKjjPh5BMcKjqFTdDzV9ile6fwKJlWFRaNhw5l7Wmp3hXuXgncoZpuDB7/ayQ97MgAY3j6G1wdLUi+EuHxCzyT3caHeOJwqT8zbwxebkrWVMe21RgjvcLCVaaN47f6GGJ8Yvh7wNV2jugLw/dHvuX/V/Via1KbO99/jcWbSyrwvviBz9ANce30ove5ujMGoo6zIyuJ3drNjaRJOp/RWFlcWSeyFuAId332aua9uJeVQHgANOoRxy9OtcMz/lNT7tWnVdZ6eRL71FmH/e5HvT/zAqJWjyLfk42X04v2e73N3/N0opTnwxY2wTxv+laZD4I7vwd2PwnIbd322jbWJpwEY2aUOEwc1k6ReCHHZhfq4M++BjhU31L7840HeWX0EVVUhrAnctwIC62rzbSx+GJY/j7feXTvXNbkbgJ2ndjL85+GcMORT64vZBIwYAUDZtm0k3TyYGDWJW55vS0C4J6oKW39MYtGUXRScLnNZuYW4UJLYC3EFMZfaWPX5QZZ/fEAbytKko8cdjbi2fzCZD44id8bHoKq4NWxI7QUL0PfrznO/PceEzROwO+1Ee0fzzYBv6BbdDbIOwKc9IXWLdvCuT8LgT8HgRmpeGUM+2sS2ZO2Lw1N9G/C/gY0lqRdCuEyQtxvf3t+RDnW0sejfWX2UZ7/fh83hhIDacN8qqNVF23jLdPh6MHpzIU+1065OGnQG0kvSGfHzCOYn/UDY/14kYvJkFDc37KdPkzLyPuxfTWfIky1o1DEc0OYDmffaNvavS0OV1ntxBZDEXogrxMkDucx9ZStHtp0CIKKeH7f+XzuiCnaTfNNNFV1v/IcNo/a8uRzzLWPYkmEsTVoKQKeITsy5fg71/OvBvu/g095QkAJ6kzY2dK+XQKdjT2oBN0/fyLHTJegUmHhzU8b0rC83ygohXM7H3cgXI9vTL16bxOq7HWncM2sbheU28AqGuxZDu1Haxkm/wic94NQhbq5/M5/3+5xQj1CsTiuvbnmVJ399Et31Pak9/zvcGjYEIG/WLNLvHME1XYz0f7AZHj5G7FYn6+ce4cf39lCcZ3ZV0YX4RySxF6KaM5fYWPtVAks+2EtpoRW9QUfnwXEMvDuWkteeI+Opp3AUFp7pevMm4RPG882J+dyx7A5Si1PRK3qeaP0EM/rMIMDgCcuehYX3a2PUe4fB3UugxW0A/LA7nVs/3kxOiRUvk57P7m7H7R1qufgdEEKISu5GPdNvb8P9XesAsPFYLjdP38jx7BLQG+H6qXDDu6AzQn6y1ohx8AdahbZiwY0LtCuWwKqTqxj641AOB5RT+7t5BN6tddmxJCaSdMtQ/A+s4LYX21G3VQig3Vj77StbObA+Xfrei2pLxrG/QDKOfSUZY/bSUp0qCZsz2bzweMW05yGxPvS6pzHGPevJeuVVHAUFAHh27EjEa69RFOTG+E3jK0a9ifSK5I1ub9AytCVkH4bv74Os/doLxHaCobPBJxy7w8nryxL5dEMSAOG+7nx2T1viI/0uOG6pF+JcpF6I8/kvdeOrzcmM/+kQDqeKj5uBd25rSa/GWms+KVtg3p1Qqt0nROu7oN9kVJMXXx36ird3vY3dacegGHi45cPc2/RezJu3kvnc89iztZm1Pdq0IXzCeFLyvFk/9wiWMm2SzNBaPlw7oiGhtXwv2vsgqpJzRqULyT0lsb9AkthXkg/dpZOdWsz6bw+TdaIIAINRR9vra9O0uTvZr0+meOVKABRPT0KfehL/W2/lx6SfeHP7mxRbiwHoHdub8Z3H42fyhe2fwsoXwX7mMnLHR6DPBNAbOV1k5vG5e9h8Qpt5sW2tAKbf0ZpQH/d/FbvUC3EuUi/E+fzXurHxWA5j5uwiv8yGosCYHnE83qs+Br0OCtNh/j2Qtk3bOLAeDPkEotpwMOcgT69/mtRibX6OxoGNeaXLK8QpYWS9PL7iPIvRSPD99+N+291s/OEkx3dpST8KNO0WRYcb6+LuZbwI74T4IzlnVJLE/hKSxL6SfOguPnOpje0/J7H/lzR+/2TWbh7MNTfXxv7zd2RP/wi1TBuhwbN9eyImTSTbX2HCpglsztysLTd48mTbJxnaYChKaTYsHgNHV2gH8w7TpmOP6wXAb0ezGTtvDzkl2oQst3eI5eUb4jEZ/n0vPakX4lykXojzuRh1IzWvjAe+2klCptYY0r5OIO8Pb0WYrzs47PDbFPj1TVAdoDNA9+fhmrGU2Mt5fdvrLD6+GAC9omdk05E82OJBLGvXc+rV17Cf1lr8TbVrEz5hAjne9Vg/9whF2eUAePgY6XRzPRp2jJABBi4iOWdUksT+EpLEvpJ86C4eu9XBvl/S2LXiZMWlXp8gd7re2oCQwkROTZyINTkZAJ2PDyFjn8B32FDmHf2Od3e9S7ld+wdzTdQ1vNTxJSK8wiHhR/j5SSg907rU8Hq48X3wCsJidzBt5RFm/qaNge9p0vPqTU0Z0ua/12mpF+JcpF6I87lYdaPc6mDCTweZu11rgQ/0MjHp5mZc11Qb4YbUbfD9KCg4qf0e2xlufA+C67MpfRMTNk8go1Sbs6OOXx0mdJ5Ac8/6ZL/9Dvlz5vB7a4vvwIEEPvY4+/fZ2LX8JA67E4CgKC863RxHbHygDDZwEcg5o5Ik9peQJPaV5EP33zmdKoe3ZLLtpyRK8i0A6I06WvWJpVm8jty3p1Cyek3F9n63DCF07Fh2207w1va3SMhL0Ja7+fFsu2cZWHcgSsFJWPo0HP39MrInXDcZWt8NisKhjCLGfbeHxCyty06jcB8+GNGauFDvi1ImqRfiXKReiPO52HVj8Z50Xli4n1KrA4AhraN5+cYm+LobwVykDSCwd462sd4E14yFa8ZRhpN3d73Lt4nfoqKlRjfWu5HHWj2G79FMMl96GcuRIwAoJhOBd9+NYchdbF6aQfK+nIrXj2rgT6fBcYTVlv73/4WcMypJYn8JSWJfST50/57qVEnam8PWn06Ql1EKgKJAo84RtO7oQ/nXn1Lw/fdg11rv3Zs1I/x/L5JTJ4C3d77NqpOrKo7Vr3Y/nm//PEFGH9j8Pvz6ljbiDWhjOt/wLgTXx2J38OEvx/lo3TFsDu1jP7JLHZ65riHuxov395N6Ic5F6oU4n0tRN07mljLuu73sPJkPaAMCvHxDE65rGq61ph9aDEufgZIsbYeAOnD9FIjrze7Tu3l508skFWqDCXgYPBjZdCR3NRiBecGP5Hz4YcXABfrAQILHPEJZq75s+TGZU0lFFTHUax1Ku4G1CYq8OI0mVxs5Z1SSxP4SksS+knzoLpzT4eTojtPsWnGyIqEHrR99+x7BOBd/Rf6cOahWrc+7PjiY0CceRz+wL58c/JSvD32NzamNkFM/oD7PtHuGjhEdIWk9/PwU5BzWDugZBH1fgxbDQVHYlpTH8wv3cTxbe81IP3emDG1B57jgi15GqRfiXKReiPO5VHXD4VSZ8etx3ll9pKIxo3vDEF65sSmxQZ5gLoS1E2H7J6Bq3WmIHwx9X8PmHcqcxDl8vPdjim3a1c1wr3CeaP0E/YKuIffjmeR/9RWqTTsfm2rVInD0aHKjO7Dlp2QKT5dXxFGnRTBtB9SWEXQukJwzKklifwlJYl9JPnT/nMPmJHFLJrtWnKQop3KCk8j6/rTtHoTbb4vI//IrnGdujNX5+hI0ahSmYYOYl/IDXxz6gkJLIQCB7oGMaTWGwXGD0Z86AGtegWOrK1+s9d3Qezx4BnKqyMzkpQn8sEfrN6oocGfHWjzdryE+7pdmFAepF+JcpF6I87nUdePY6WL+b9EBtiZpM2m7GXQ82jOO+7vVxc2gh4zdsGSs9gygd4MOD8A148jXKXy450MWHFmAQ9W69jQKbMTo5qPpoqtP7tvvULR0WcVrGWNiCBh1Pxkh7dm1Kq2iiyVATJNA2vavRWT9gItexppIzhmVJLG/hCSxryQfur9XWmjh0IYMDqxPp6zQWrG8VtMgmrdyw7hqLoWLfkC1aCd/xdOTwLvvwu32oXyb/iNfHfqKIqt2adeoM3JHkzu4v9n9+BSfhl8mwoHvK18svBkMmAqxHSix2Pl8QxIf/3q8op9pgzBvJt3cjLa1Ay9pmaVeiHOReiHO53LUDVVVWbgrnUlLE8gt1c7FdUO8eKZfQ/rFh6OoTtj+mXZeNRdoO7n5QpfHoOPDHCvNZMqOKWzM2FhxzAYBDXiw+YN0KQoj76OPKfnll4p1hsgIAu67n1NRndm9NqNKC35YHV+adY8mrnUoeqPME3o+cs6oJIn9JSSJfSX50J2bqqpknShi/7o0ju86jfPMJWAUqNcqhKZ1rfDjlxSvWlUxyoLi6UnAsGHo77qF706v4OuEryvGozfqjAyuP5j7mt5HhM0CG96B3V+BU+t/T0Bt6Pk/iB+M2aHy9ZaTTF93nLwz/7x83AyM7dOAOzvVwqi/9P9EpF6Ic5F6Ic7nctaNgjIrbyw/zLfbUiqWNYvy46l+DelWPxjFXAgb34UtH1Xeq+QVCl2fhNZ3si33IDP2zWB71vaK/eP847i/2f10K4um4ONPtXP7GXo/P/xuuYW85tezd1sRuemVXTA9fIzEd40ivmsk3gH/bt6QmkzOGZUksb+EJLGvJB+6qswlNo7uOMWhjRnkpJZULDe662nYNpjatkScP83BfOhQxTp9cDCBd97J6b4t+SZ9McuTlmN1agm5UWdkSP0h3NfsPsILMmDTe9oNX7/3BfUKhWufgdZ3Y1MMzN+RxntrjpJVpHX1MeoVhreP5dGe9Qnxcbts74PUC3EuUi/E+biibuxOyeeN5YlsOZFXsax9nUCe6ddQu6pZnKWNe7/ri8pGFI8AaDcK2j/AjpIUZuydwdasrRX7h3qEMqzhMAbpWmOfNZei5cvBeeZ8rdPh3bMXZT1u40imJykH8+D3Nh+dQt0WwTTqFEFMfCD6y9AAcyWQc0YlSewvIUnsK8mHDhwOJykHcknckkXyvpzK1nkgINyTRg10BB9cRtmyHysmlgIw1amD3713saOlF3OOz2f36d0V6zwMHtwcdzMjm95LWPo+LaFP/q3yRT2DoOPD0PEhipwm5m1LZfamZNILtNYlnQKDW0fzeK/6xAR6Xvo34U+kXohzkXohzsdVdUNVVTYey+WtFYnsTSusWN6hTiD3XVOHXo3D0OefgHWva90ez/SxR+8GLYdDp0fZ5Shi5r6ZVbroGHVG+tfpzwj/PoSs2EnBd/NxFFYe31SnDrr+Q0n1a8XhPUVYy+0V6zx8jDRoH06jTuEER/tc+jehGpNzRiVJ7C8hSewrXa0fOqfDScaxQk7sOs2xXacpL7ZVrNMbdNRq4EmMJRGP9QuwHj1auaPBgE+vnhRe14GfAk6yNHkZ+Zb8itXR3tEMbzScQWGd8D20GHZ/DflJlfsH1oVOY6DFcE4Wq8zamMz8HakVfegBrm8Wwdg+9YkLdd0/hKu1Xoi/JvVCnI+r64aqqqw8dIqpKw9z5FTl1dZaQZ7c27k2Q9vG4FWeqXXP2fUFWCu3oU43aHUXJyKb8e2x71l8fHHFhIGg9cO/Kbo/PRL12L77EUtiYuW+ioJbp2vIa3MzyUVBnDr5h+MCQdHexLUJpV6rEALCvS5Z+asrV9eL6kQS+0tIEvtKV9OHzmF3kpaYz/Hdp0nam4O5xFZlfViMB7HGdPx3Lsaxd0eVdcaYGAw3Xcf6FgYW5q7leOHxKus7RXTi9oa3ck1pKfo932gTS/3e3QYguh10fgxb/f6sO5rHdztSWZ1w6vfu+Zj0Om5qGcnIa+rQOML1w6ldTfVC/HNSL8T5VJe64XCqrDqUxWcbktieXNno4uNuYGibGG5pE02TACfsnAVbZlSOgQ/g7g/Nh1Hc7BZ+KD7Ct4nfklqcWrFap+joFNGRYdYW1N+cRtnyVThLKhN5xdMT9Zr+nI7tSnKOFyUFlYMtAARGelG3VQj1WoUSFOV1VcxsW13qRXUgif0lJIl9pZr+oSvOM5NyMJeUg3mkJuZhMzuqrPcP1BOpzyL48EoM+zZVWafz84NrO7KvpS8LvY9wIP9glfVR3lEMrDOAG42hxCZtgsQlUJZbuYHJB5rdgtrqTg4qcXy/K40f92RUjOYAEORl4o6OtbijY63L2of+79T0eiH+HakX4nyqY93Yl1bAZxuS+HlfJnZnZZrUOMKXIa2juKlpMCEZa2DXV3B8LRUd5gFCm+BsfCPbw+P4MXcPq06uqtKK765355rg9tyQHkbtjSewbNle2RcfwORGeeebOB3ZkfQCT8xlVf/3+AS5Uys+iNj4QKIaBmByN1yqt8GlqmO9cBVJ7C8hSewr1bQPnbnURtbxQtIO55NyKI/8zNKztgn0cxJuSyZg31Lc0hKqrFM8PLB2acm+Fr4s8D/G8bKTVdZ7Gb3oG9OTGz2iaZ16AN3hnyuHVftdbGfUVndwOKgXK48Ws3R/JolZxVU2aVMrgFvbxnBjy8iLOmPsxVLT6oW4OKReiPOpznUjq9DM11tOsnBXGhmFlXOQ6HUK3eoH0y8+nD5RVoKOLtC6TxamVj1AcAPKGg1gjX8IP+buZWvWVtQ/fAnQK3q6uTdjQEogtXdnoe4+UCXJdyo6Spv1JK/ONWRYQygvr3p4nV4hIs6PmMaBRDUIIKSWT425+bY614vLTRL7S0gS+0pX+oeutNBC1vFC0o8WkHG0gNz0kiqNLgAGvUqwsYDArD34Jf6Chzm36gbBgZxuFcuWunZ+CkimUDFXWe3v5s+1wS3o5XSjU+YR3FO2gsNS9RjhzXA0upG9vj34Mc2T1QmnSMuvevaO8vdgcOsoBreOpk5w9e5reaXXC3FpSL0Q53Ml1A2nU2XziVy+35nGsgNZlNsqW9EVBVrF+NOncTA3+iURmbESJeEnKD1d9SBeIWTX7sIvgaGsseawLXsPdtVeZZO6ziBuyoqi+cFSvPaeAFtlt08VhaKQhhQ16kGOdz3yyz3OitNg0hFe14/I+v5ExvkTWtsXo1v1fE//zpVQLy4XSewvIUnsK11JHzpLuZ3sk0WcSi7i9MliTicXVZkR8I98dcUE5ifin7wZv8Lj6J2VJ15Vp6O4XhgJDdxZGZXH/sAS7az+BzEeYVzrHkHPcgut0vZhKM486zXUiBZkRV/HOl0nVmR5sT0pr8pNsADB3m70bhzKjS0j6VgnCJ3uyuhTeSXVC3H5SL0Q53Ol1Y0Si51l+zNZdiCLDcdysNqdVdZH+rnTqa4/A/1TaFe2Hu/jS6v2xz+jKKwpv4XVZq3ezubSFIptVW+edbOqdM8OoUuaF3USC3DLqNqwZDV6kxfSlILancjziMXsMJ31Goqi9c8Pre1LWG1fQmv5EhjldUW06l9p9eJSksT+EpLEvlJ1/NDZbQ7ys8rIyyglL6OE3PRScjNKKMk7dxIPKn62bPyyD+GXm4h/4XGM9sphKVUF8mP8SahtYEN4AQejVcxuVRNsf4MnHUzBdCorp2PWMaLKC//8Ijg9AskJ7cw+tzYsK2vMyjQdxWb7WdvVD/Wmd5Mw+jQJo2W0/xWTzP9RdawXwvWkXojzuZLrRqnFzm9Hc1h16BRrE0+RX2Y7a5vYADduiiigh34f9Uu24X1qB4qz6nYO4FBgNJuDY9hiUNltPoVdrdrYE1Kg0i7VRLssb+okl+OZU/lFQAXKPUIo8IujMKQJBYENKFe8zxmzTq8QEO5JYKQ3gZFeBEV6ERjpjW+QO0o1+p9zJdeLi+2KTOwTExN59NFH2bRpEz4+Ptx111289tprmExnfwP9I1VVeeONN5g+fTrZ2dm0bNmSt99+m44dO1bZLiMjg0cffZSVK1diNBoZPHgw06ZNw9f3wkYRkcS+kqs+dE6Hk+I8C0U55RRml1OUXU5hTjl5GaUUni7jr2q0u60An/wT+BafxLf4JD7FKRj+0DXG4mEgKdrI/jAzRyIVjkUqlHpUPdFF6T1p4VBoUZRLq+J8Glpt/Lntw2b0JcOnOft0jVhS0pBVBRE4z9oKgr1NdKwbRKd6QXSpF0ztat7N5p+Qk7E4F6kX4nxqSt2wO5zsSS1g8/FcNp/IZefJfCx/as0H8NdbGRKURE+3RBpYDxFUlIDuT11yyhSFPW5u7PUPZa+XD3tVMyVq1S8DQUUqjVJV4tN0NDllJCzLjP4Pc6mY3fwp9qlFkU8tinxrU+xXG7vu/AMtGNz0BEZ4ERDuiV+IB77BHhXPHj7Gyz4ST02pFxfDheSe1eJW6vz8fHr27En9+vVZuHAh6enpjBs3jrKyMj744IO/3PeNN97g5Zdf5vXXX6d58+Z8+OGH9O3blz179lC3bl0AbDYb/fr1A2DOnDmUlZXx1FNPMWLECJYsWXLJyyf+OVVVsZTZKS2wUFpgoaTAQlmhhZL8M4l8jpmSXDNO519/H9U5rHiVZuJVmoF3aSZeZZn4FKdislXeiFrspXAwBk6GKSSHKiSFK2QEqaiKDdBOIoGqjhYWG43KS4i3WGlpsRLqqNqK4kRHllssh6jHr+V12WSrzzFzJGrx2Yl8bKAnzaP9aFc7kE71gqgf6n1VDFsmhBA1nUGvo23tQNrWDuTRXvUx2xwVif7u1AL2phZQWG6jwGHis9MN+YyGwE24YaWFcpxrPU7QyXSMOMdxfG05dDab6ZyVAmgt+ieMRva4m0hwc+OwhzdHfHVsjFfZGA9gw2DXEZsN9TJV6map1M0qJCp3HyE5ewGtj36ZZyilXpGUeEWeeY6g3CMEFB12i4PTyUWcTi46q2xGN31Fou8T6I6XvxteASa8/d20n/3cMJiu7uS7uqgWif2MGTMoKipi0aJFBAYGAmC323n44Yd54YUXiIyMPOd+ZrOZyZMn8+STTzJ27FgAunbtSoMGDZgyZQrTp08HYMGCBRw8eJCEhAQaNmwIQEBAAP369WPbtm20b9/+MpTy6qSqKjaLA0uZHXOJDXOJjfISK+XFNsylNsqLrdqyYisl+WZKC6047P/8IpLRWoxHeTYe5lw8y7LwLs3AqzQTj/IclDN3wub4QnqgQmZtyAjUkRGoJfMFXlT0j/d0Oqljs9K6xE4dm42GViuNrDZCHA7+mHaX4sk+NZIDjhgOqbU56KxNghqL2Vy1FURRoFagJw3CfGge5UfzGH+aR/kR4PXXV6CEEELUDO5GPR3rBtGxbhCg/T9MyStjb1oh+1ILOJBRyJFTJeSVwja1MdvKGsOZnqDBFBKvSyZeSaaJLpnG+nRq27KobyuF4lIgDztw0mggwWTimMlIktHIiSAja8MNrFK0hiXFqRJWADHZKrHZEJNzmvC8U4Rn7MbzzOjJDp2RMs9wSrwiKPWKoswzhHL3YMo9gnHqtf9tNouD3PQSbZCJ83Dz0GtJvr8b7t4mPLyNePgYK3529zbi4W3CzcuAm4cBvVEnDVuXQLVI7JctW0bv3r0rknqAYcOGMXr0aFauXMk999xzzv02bdpEUVERw4YNq1hmMpkYPHgwCxcurHL85s2bVyT1AH369CEwMJClS5dKYn+G0+HEbnNitzqxWx3YrA4ctt9/duKwOrFZHditDuxmG5ZSM4XZBeicqdjK7VjL7VjNDqxmJ1aris2mYrMrqPz7D67BVoKbpRA3SwEe5jw8zNl4lOfgXp6DhzkHg8NCmUlL3nN9FY5FQ46vQmagQmagjsxAsBq11w+yO4iy24i022lrtxOZ6yDaZqeuzUbYHxL4EtWdNDWEfWowqWoox9VIjquRHHNGko0//KE87kYdtQK9iAn0pG6IFw3CfGgY5kNcqDce0nohhBDiDEVRqBXkRa0gL25sUdlgmVNi4cipYo5kFXPkdAknc0s5mevBbwV+/OpsoTXX28CAnRglm3pKBnFKOnWVTKIcOTSzZNNXycWkaFeTbUCq0UCS0Ui6wUC6wUBGtJ59dQwsMxgo0+lBVfEph/B8CMt3EJ6fTlhBGuH524jMhoAS0KlgM/pQ7hFMmUcI5jPJvtk9AIvJD4ubf0XiD2Apd2ApLyMvs4x/QqeoGI1gMoHJpMPkpsPkYcDkocfN04TR04BVtZMVUo7J0w2jSY/BpMNgPPNsOsezQVet7hNwhWqR2CcmJjJy5Mgqy/z9/YmIiCDxj9Mvn2M/gEaNGlVZ3rhxY1JSUigvL8fDw4PExMSztlEUhUaNGv3l8f/K969NI9DHlyrjI563oVnVkltVgT88awlv5TMqoGq/K+qZ3/+wvOr+f1qGgqrqUNHBmWcVPaA7s/zMz+gBvbadoq/YTlUMoFzMRPT3uM6md1gwWosx2kow2Uox2rSf3SxFuFkLcLNoD5tSSLGHnUIvKPRSOOUDBeEKRZ5aIp/jq5DjqweTSrDDQbDDTrDDSZDDQVuHg2C7g5BcB9F2OxF2Bx6qSqHqSY7qRw4hZKt+HFb9WaOGkFbxCKYQL0DBoFMI9XEj1NedcF93Bvi6Eean/RwT6EmtQE9CfNykxUEIIcS/FuztRrC3G53rBVdZbrU7SS8o52RuKRkFZk4VmTlVVIesIjO/Fln4rshM3plJC3U4CSWfaCWbKCWHaFsOUUo2EUoRzZRCgikkWMnDXbFSqNORbtCTYTCQ7aYnJ1pPbi09+/V6ftHryNHryVd0eJUrBBaXEVh8UnuUqAQWg18RhJRpXwy8LB6g88fipiX6Fjd/bEYfrCZvbEbtYT3zrOqqppxOVcFiBYsVtETHceYBFZcuACi4oPdTUW0oqgNwoqgOFBwoOLXflTPLz7yWglq5THH+4VnVrvorgHLmGRUUVbvQr2gJn/KH9X9cjnKmSVM5s8/vx6qgVh1RT/nD6jOvpVK5SW7RP38PqkVin5+fj7+//1nLAwICyMvL+8v93NzccHd3P2s/VVXJz8/Hw8PjXx8foKioiKKiyv5mmZna0IXFJR0wEPKX+152yp+eL/bhnXb0Tis6hw2d04reaUNvN2NwmDHYy888zOgc5ShqOapajlMx46Qch1KO2VCK2VBKmbuNIjco9VYodQOrm4rdpOJwA6dJBZMTvbsTb5z4Oisf0U4nTRxOPB0KOqcbSrkJpcQTm9OLIjwpUr0oxpMi1ZN0PElQvSjEi0KdH6WGIMxugZjcPPBy0+PnYSTA04S/pxF/DyOdz/wc4GnE39NEmK8bgZ6mvx2Vxuk8+8aoq53D4cDpdOL4070I4uom9UKcj9SNc9MrEBvgTmyA+3m3sdidZBebySmxkl9mo6DMSkGZjfwyGwfLrOSX2ygos1FYbqPcYke1lOBuy8PbnEsgRfgpJfhSRrBSSj1K8VVK8aMUH6UEna4cm8GC3cuO2cdOmV6lSK+jQKcnRaejUK+jVLFidRaDOQ3FrGAw69BbQG9TcLMqeJpVPKzgUQKeVnfc7d4YHZ6YHB4YnB4oijsoHjj1Hjj07tgNHtgNZ571Hjj0Jpx6Ew6dCafOiENvAuWvh+pUFSOqYvz3b7x6np9dqKAk+x9vWy0S++ps2rRpTJgw4azlBnsJBts5Pmx/GJKlakqogurUvrWd9axq3yb/8KzVpj98a1SdVZZVPKtO7Xudon0zRbUDDu1n5Q+/4wDs2n6qHadO+7aq6uyoigOn4gDFilOxoSo2VJ0Vp86GU2c987MdjCo2Hag6BadewWlQUP/40OtBr6DodYARPXrAgIIeHSZ0qjd61YheMRGAiWDc0GNCVdxwKgZsOjdsOnfsOjecOnecBndUgwdWgzs5Bk+yje7ojO7ojSZMegWjXnfmWcGk1+Fl1BFi1ONp0uFh1OFp0uNp1GG8oPF6VcCCWm4ht/xvNxbn4HQ6KSzUhvzU6ar/WMni8pB6Ic5H6sZ/4wZEuWsPAk3A39/LpaoqFrtKmc1Buc1JmdVB2ZnnU3YnaQ4Vq0PF5nBWPNvtNrCVg7UUvd1MkK2MEEc5Ons5BrdydEY7em8rOqcNvWpFVa04VQsOpRwHVkqxUYIVFRtOSlApwIEDu+LEqTrA4USxO1AdTnCo4HCic6gY7Cp6h4rODnqbis6pR3EaUVQTisMIGNGpJnAaUTCBakJRdaDqUVQDiqpHUbV8RKdqvRY401NBQYfK7z0WzvReQH+mqVyn9YpQdGi9K7Rn7fc//nym58Uft1N+f9b9YR1nfoY/9mpQz26ur1ivntlW76g6+eVfqRaJfUBAQMWH+o/y8/Or9Ls/134WiwWz2Vyl1T4/Px9FUQgICPjb48fExPxlbOPGjWPUqFEVv2dmZtK+fXuGv9Fbhrt0OMjJySE4OPiqH4pKVPq91U3qhfgjqRfifKRuiHNxVY5xoaPA/6PN/7TR2bv89UFSTp7khbn/LJ5qkdifq697YWEhmZmZZ/WN//N+AIcPH6ZFixYVyxMTE4mNjcXDw6Niu/3791fZV1VVDh8+TJ8+ff4yNl9f33OOda/X6+UEhNa6Iu+F+DOpF+JcpF6I85G6Ic5F6oXG/Uw++09Ui2te/fv3Z/Xq1RQUFFQsmz9/Pjqdjr59+553v86dO+Pr68v8+fMrltlsNhYuXMiAAQOqHH/v3r0cPXq0YtmaNWvIzc2tsp0QQgghhBBXqmqR2I8ePRofHx8GDRrEypUrmTVrFk8//TSjR4+uMoZ9r169iIuLq/jd3d2d559/nilTpvDuu++ydu1ahg8fTm5uLk899VTFdrfccgvx8fEMGTKEJUuW8N133zFy5Eiuv/56GepSCCGEEELUCNWiK05AQABr1qzh0UcfZdCgQfj4+DBq1CgmTpxYZTuHw4HdXnXa5WeffRZVVZkyZQrZ2dm0bNmSFStWVMw6C2A0Glm+fDmPPfYYw4cPx2AwMHjwYN5+++3LUj4hhBBCCCEuNUW90LsErnJpaWnExMSQmpoqN886HGRnZxMSEnLV938TlaReiHOReiHOR+qGOBepF5UuJPesFl1xhBBCCCGEEP+NJPZCCCGEEELUAJLYCyGEEEIIUQNIYi+EEEIIIUQNIIm9EEIIIYQQNYAk9kIIIYQQQtQAktgLIYQQQghRA1SLCaquJL9PkJWZmeniSFzP4XCQm5uLxWK56seYFZWkXohzkXohzkfqhjgXqReVfs85/zxJ67lIYn+BsrOzAWjfvr2LIxFCCCGEEFeL7Oxsateu/ZfbyMyzF8hsNrN//35CQkIwGK7u70WZmZm0b9+ebdu2ERER4epwRDUh9UKci9QLcT5SN8S5SL2oZLfbyc7OplmzZri7u//ltld3ZvovuLu7065dO1eHUa1ERET87RTH4uoj9UKci9QLcT5SN8S5SL3Q/F1L/e/k5lkhhBBCCCFqAEnshRBCCCGEqAEksRf/mq+vLy+//DK+vr6uDkVUI1IvxLlIvRDnI3VDnIvUi39Hbp4VQgghhBCiBpAWeyGEEEIIIWoASeyFEEIIIYSoASSxF0IIIYQQogaQxF4IIYQQQogaQBJ7cdHt3LkTvV6Pt7e3q0MRLuRwOHjzzTfp1q0bwcHBBAYG0qNHD3777TdXhyYus8TERPr06YOXlxfh4eE888wzWK1WV4clXGj+/PncdNNNREdH4+XlRcuWLfn888+R8TzEH5WUlBAdHY2iKOzYscPV4VwRJLEXF5WqqowZM4aQkBBXhyJcrLy8nMmTJ9OmTRu++OIL5syZQ0BAAD169GDt2rWuDk9cJvn5+fTs2ROr1crChQuZNGkSM2fOZNy4ca4OTbjQtGnT8PT0ZOrUqfz000/079+f+++/n1deecXVoYlq5NVXX8Vut7s6jCuKDHcpLqrPP/+cyZMnM3ToUN577z1KSkpcHZJwEYfDQVFREQEBAVWWNW3alLi4OH766ScXRicul8mTJzNx4kRSUlIIDAwEYObMmTz88MOkpKQQGRnp4giFK+Tk5BAcHFxl2QMPPMC8efPIz89Hp5N2x6tdYmIibdu2ZerUqYwePZrt27fTtm1bV4dV7cknR1w0BQUFPPfcc7z99tuYTCZXhyNcTK/XV0nqf1/WvHlzMjIyXBSVuNyWLVtG7969K5J6gGHDhuF0Olm5cqULIxOu9OekHqBVq1YUFRVRWlrqgohEdfPoo48yevRoGjZs6OpQriiS2IuL5sUXX6RNmzYMHDjQ1aGIasput7NlyxYaN27s6lDEZZKYmEijRo2qLPP39yciIoLExEQXRSWqow0bNhAVFYWPj4+rQxEutmDBAvbv389LL73k6lCuOAZXByBqhj179vDZZ5+xe/duV4ciqrE333yT9PR0xo4d6+pQxGWSn5+Pv7//WcsDAgLIy8u7/AGJamnDhg3MnTuXqVOnujoU4WJlZWWMGzeOSZMm4evr6+pwrjiS2ItzKiwsJDMz82+3q1u3LkajkUceeYSHH374rJY5UbNcSL34c3esVatW8fLLL/PSSy/Rpk2bSxWiEOIKk5aWxq233kqPHj147LHHXB2OcLHXXnuNsLAw7r33XleHckWSxF6c0/z587n//vv/druEhAT27NlDQkICc+bMoaCgAACz2Qxo/e7d3d1xd3e/lOGKy+RC6sUfv+Tt2rWLIUOGMGLECLm0epUJCAigsLDwrOX5+flV+t2Lq1NBQQH9+/cnKCiI77//Xm6avcqdPHmSqVOnsmjRoorzxu+DcJSUlFBSUiJDaf8NGRVH/Gfjx49nwoQJ513/7LPP8vrrr1/GiER1cuzYMbp06UKrVq346aefMBqNrg5JXEbdunUjKCiIRYsWVSwrLCwkICCAzz//nHvuucd1wQmXKi8vp0+fPqSkpLB582aioqJcHZJwsXXr1tGjR4/zru/QoQNbtmy5jBFdeaTFXvxn99xzD927d6+ybPbs2cybN49ly5YRGxvrmsCEy2VmZtK3b19iY2NZsGCBJPVXof79+zNp0iQKCgoq+trPnz8fnU5H3759XRuccBm73c6wYcNISEjgt99+k6ReANCyZUt++eWXKsv27NnD2LFjmTFjBu3atXNRZFcOabEXl8T48eOZMmWKjGN/FSsvL6dTp06cOHGCb775psqkZW5ubrRq1cqF0YnLJT8/n/j4eBo0aMALL7xAeno648aN4/bbb+eDDz5wdXjCRR544AE++eQTpk6dSufOnausa9WqFW5ubi6KTFQ3v7fiyzj2/4y02AshLolTp06xd+9eAG688cYq62rVqkVycrILohKXW0BAAGvWrOHRRx9l0KBB+Pj4MGrUKCZOnOjq0IQL/T6HwZNPPnnWuqSkJGrXrn2ZIxKiZpAWeyGEEEIIIWoAuf1cCCGEEEKIGkASeyGEEEIIIWoASeyFEEIIIYSoASSxF0IIIYQQogaQxF4IIYQQQogaQBJ7IYQQQgghagBJ7IUQQgghhKgBJLEXQgghhBCiBpDEXgghhBBCiBpAEnshhBBCCCFqAEnshRBCCCGEqAEksRdCCHFJFBUVUatWLW655ZYqy0ePHk1QUBAZGRkuikwIIWomSeyFEEJcEr6+vsyaNYuFCxfy1VdfAbBs2TI+/vhjpk+fTmRkpIsjFEKImkVRVVV1dRBCCCFqrscff5wvvviCdevWMWDAALp3786cOXNcHZYQQtQ4ktgLIYS4pMrLy2ndujVJSUkEBwezf/9+AgICXB2WEELUONIVRwghxCXl4eHBoEGDsFgsjBgxQpJ6IYS4RKTFXgghxCW1b98+2rVrR3x8PAkJCezatYvGjRu7OiwhhKhxJLEXQghxyVitVtq1a4evry9r1qyhS5cuAGzevBmDweDi6IQQomaRrjhCCCEumZdeeonjx48ze/ZsTCYTX375JQcOHOC1115zdWhCCFHjSGIvhBDikti0aRNvvfUWU6dOpV69egA0btyYyZMnM3HiRHbs2OHiCIUQomaRrjhCCCGEEELUANJiL4QQQgghRA0gib0QQgghhBA1gCT2QgghhBBC1ACS2AshhBBCCFEDSGIvhBBCCCFEDSCJvRBCCCGEEDWAJPZCCCGEEELUAJLYCyGEEEIIUQNIYi+EEEIIIUQNIIm9EEIIIYQQNYAk9kIIIYQQQtQAktgLIYQQQghRA0hiL4QQQgghRA3w//+a35YXz812AAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": {}, @@ -104,34 +88,88 @@ } ], "source": [ - "fig, ax = plt.subplots()\n", - "for k in [0, nt // 4, nt // 2, 3 * nt // 4, nt]:\n", - " ax.plot(x, M[k], label=f't = {t[k]:.2f}')\n", - "ax.set_xlim(-5, 5); ax.set_xlabel('x'); ax.set_ylabel('m(x, t)')\n", - "ax.set_title('Pure-diffusion Fokker–Planck'); ax.grid(alpha=0.3); ax.legend()\n", + "mu, sigma_sq, init_sigma = 0.1, 0.16, 0.2\n", + "T, n_t = 1.0, 200\n", + "n_x = 201\n", + "res = opt.fokker_planck_constant(mu, sigma_sq, init_sigma,\n", + " -3.0, 3.0, n_x, T, n_t)\n", + "xs = np.array(res['x_grid'])\n", + "ts = np.array(res['time_grid'])\n", + "density = np.array(res['density']).reshape(n_t + 1, n_x)\n", + "p_final = density[-1]\n", + "\n", + "# ground truth gaussienne\n", + "sig_eff = np.sqrt(sigma_sq * T + init_sigma ** 2)\n", + "analytic = np.exp(-(xs - mu * T) ** 2 / (2 * sig_eff ** 2))\n", + "analytic /= np.trapezoid(analytic, xs)\n", + "\n", + "err = float(np.max(np.abs(p_final - analytic)))\n", + "mass = float(np.trapezoid(p_final, xs))\n", + "print(f\"Erreur sup |p_num - p_ana| = {err:.3e}\")\n", + "print(f\"Masse finale (≈ 1) = {mass:.4f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "axes[0].plot(xs, density[0], ':', label='p(0, x)', alpha=0.6)\n", + "axes[0].plot(xs, p_final, lw=2, label=f'p({T}, x) — schéma')\n", + "axes[0].plot(xs, analytic, '--', lw=1.5, label='gaussienne analytique')\n", + "axes[0].set_xlabel('x'); axes[0].set_ylabel('densité')\n", + "axes[0].set_title(\"Coupes initiale / finale\")\n", + "axes[0].legend()\n", + "im = axes[1].imshow(density.T, aspect='auto', origin='lower',\n", + " extent=[0, T, xs.min(), xs.max()],\n", + " cmap='inferno')\n", + "axes[1].set_xlabel('t'); axes[1].set_ylabel('x')\n", + "axes[1].set_title(\"Évolution spatio-temporelle\")\n", + "plt.colorbar(im, ax=axes[1], label='p(t, x)')\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "1b2ef52c", + "id": "ae66c1a1", "metadata": {}, "source": [ - "## 2-D Poisson eigenfunction\n", + "**Résultat attendu.** Erreur sup faible et masse $\\approx 1$.\n", "\n", - "$-\\Delta u = 2\\pi^2 \\sin(\\pi x)\\sin(\\pi y)$ on the unit square with zero Dirichlet boundary admits the exact solution $u(x,y) = \\sin(\\pi x)\\sin(\\pi y)$." + "**Lecture du graphique.** Gauche : pic initial fin (pointillé) qui\n", + "s'étale en gaussienne décalée vers la droite (drift $\\mu T = 0.1$).\n", + "Droite : carte chaleur de $p(t, x)$, qui s'élargit dans le temps.\n", + "\n", + "**Conclusion.** Le solveur Fokker–Planck est validé sur le cas\n", + "gaussien.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d7b22c65", + "metadata": {}, + "source": [ + "## Cellule 2 — Poisson 2D sur un carré (équation harmonique)\n", + "\n", + "**Théorème (Poisson Dirichlet).** Pour $f$ régulière et conditions\n", + "nulles sur $\\partial\\Omega = [0,1]^2$, $-\\Delta u = f$ admet une\n", + "unique solution dans $H^1_0$.\n", + "\n", + "**Équation pivot.** Si $f = 2\\pi^2 \\sin(\\pi x)\\sin(\\pi y)$ alors\n", + "$$u(x, y) = \\sin(\\pi x)\\sin(\\pi y).$$\n", + "\n", + "**Démonstration.** Calcul direct : $-\\Delta u = 2\\pi^2 \\sin(\\pi x)\n", + "\\sin(\\pi y) = f$. $\\square$\n", + "\n", + "**Ce que la cellule vérifie.** Le solveur SOR `poisson_2d_zero_boundary`\n", + "résout l'équation et l'erreur tend vers zéro.\n" ] }, { "cell_type": "code", - "execution_count": 4, - "id": "1f2b19fb", + "execution_count": 3, + "id": "576f1eb5", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:02.916630Z", - "iopub.status.busy": "2026-05-12T10:16:02.915981Z", - "iopub.status.idle": "2026-05-12T10:16:03.039124Z", - "shell.execute_reply": "2026-05-12T10:16:03.037419Z" + "iopub.execute_input": "2026-05-12T14:05:22.235032Z", + "iopub.status.busy": "2026-05-12T14:05:22.234767Z", + "iopub.status.idle": "2026-05-12T14:05:22.746208Z", + "shell.execute_reply": "2026-05-12T14:05:22.744955Z" } }, "outputs": [ @@ -139,41 +177,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "iterations = 690\n", - "residual = 9.865621268811964e-07\n", - "max error = 0.00013249923574043532\n" + "Itérations SOR : 290\n", + "Résidu final : 9.737e-07\n", + "Erreur sup : 4.896e-04\n" ] - } - ], - "source": [ - "n = 65\n", - "xs = np.linspace(0, 1, n); ys = np.linspace(0, 1, n)\n", - "X, Y = np.meshgrid(xs, ys, indexing='ij')\n", - "F = 2 * np.pi ** 2 * np.sin(np.pi * X) * np.sin(np.pi * Y)\n", - "res = opt.poisson_2d_zero_boundary(F.flatten().tolist(), n, n)\n", - "U = np.array(res['u']).reshape(n, n)\n", - "U_exact = np.sin(np.pi * X) * np.sin(np.pi * Y)\n", - "print('iterations =', res['iterations'])\n", - "print('residual =', res['residual'])\n", - "print('max error =', float(np.max(np.abs(U - U_exact))))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "8ee99510", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:03.042379Z", - "iopub.status.busy": "2026-05-12T10:16:03.042041Z", - "iopub.status.idle": "2026-05-12T10:16:03.692138Z", - "shell.execute_reply": "2026-05-12T10:16:03.690583Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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", 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" ] @@ -183,34 +194,71 @@ } ], "source": [ + "nx_grid = 41\n", + "xs = ys = np.linspace(0, 1, nx_grid)\n", + "X, Y = np.meshgrid(xs, ys, indexing='ij')\n", + "f = 2 * np.pi ** 2 * np.sin(np.pi * X) * np.sin(np.pi * Y)\n", + "res = opt.poisson_2d_zero_boundary(\n", + " f.flatten().tolist(), nx_grid, nx_grid,\n", + " 0.0, 1.0, 0.0, 1.0,\n", + ")\n", + "u = np.array(res['u']).reshape(nx_grid, nx_grid)\n", + "\n", + "u_exact = np.sin(np.pi * X) * np.sin(np.pi * Y)\n", + "err = float(np.max(np.abs(u - u_exact)))\n", + "print(f\"Itérations SOR : {res['iterations']}\")\n", + "print(f\"Résidu final : {res['residual']:.3e}\")\n", + "print(f\"Erreur sup : {err:.3e}\")\n", + "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", - "im0 = axes[0].imshow(U.T, origin='lower', extent=(0, 1, 0, 1), cmap='viridis')\n", - "axes[0].set_title('SOR solution'); plt.colorbar(im0, ax=axes[0])\n", - "im1 = axes[1].imshow((U - U_exact).T, origin='lower', extent=(0, 1, 0, 1), cmap='RdBu_r')\n", - "axes[1].set_title('error vs analytic'); plt.colorbar(im1, ax=axes[1])\n", + "im0 = axes[0].imshow(u, origin='lower', extent=[0, 1, 0, 1], cmap='viridis')\n", + "axes[0].set_title('u numérique'); plt.colorbar(im0, ax=axes[0])\n", + "im1 = axes[1].imshow(u - u_exact, origin='lower',\n", + " extent=[0, 1, 0, 1], cmap='RdBu_r')\n", + "axes[1].set_title('erreur signée'); plt.colorbar(im1, ax=axes[1])\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "f3b99b10", + "id": "ce3f9fdf", "metadata": {}, "source": [ - "## 2-D HJB with quadratic terminal\n", + "**Résultat attendu.** Erreur sup faible (< $10^{-2}$) ; résidu\n", + "SOR petit.\n", "\n", - "Heat-only relaxation ($H = 0$, σ² > 0) preserves a constant value, while a quadratic terminal $g(x) = ½(x²+y²)$ smooths." + "**Lecture du graphique.** Cloche centrée à hauteur $1$ ;\n", + "carte d'erreur quasi nulle, symétrique autour de zéro.\n", + "\n", + "**Conclusion.** Le solveur elliptique est validé.\n" + ] + }, + { + "cell_type": "markdown", + "id": "7d53c3c5", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : diffusion thermique sur une plaque\n", + "\n", + "**Modèle physique.** Plaque carrée $[0,1]^2$ chauffée par une source\n", + "gaussienne au centre, conditions de Dirichlet nulles sur le bord.\n", + "Équilibre régi par\n", + "$$-\\Delta u = q(x, y),\\qquad u\\big|_{\\partial\\Omega} = 0.$$\n", + "\n", + "**Ce que la cellule vérifie.** Profil radial décroissant de température\n", + "sous source ponctuelle.\n" ] }, { "cell_type": "code", - "execution_count": 6, - "id": "0cf4e23e", + "execution_count": 4, + "id": "adc915d4", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:03.695325Z", - "iopub.status.busy": "2026-05-12T10:16:03.695038Z", - "iopub.status.idle": "2026-05-12T10:16:03.772635Z", - "shell.execute_reply": "2026-05-12T10:16:03.764763Z" + "iopub.execute_input": "2026-05-12T14:05:22.749447Z", + "iopub.status.busy": "2026-05-12T14:05:22.749181Z", + "iopub.status.idle": "2026-05-12T14:05:23.199414Z", + "shell.execute_reply": "2026-05-12T14:05:23.198332Z" } }, "outputs": [ @@ -218,38 +266,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "V(0,0) = 0.018239022846662144\n", - "V(±1,±1) = 0.8159229411398733 0.8159229411398735\n" + "Température max au centre : 0.290\n", + "Température max au bord : 0.00e+00\n", + "Itérations SOR : 820\n" ] - } - ], - "source": [ - "res = opt.hjb_quadratic_2d(n_per_dim=21, x_min=-1.0, x_max=1.0,\n", - " n_t=200, t_horizon=0.2, sigma_sq=0.1)\n", - "ax_x = np.array(res['axis']); npd = res['n_per_dim']\n", - "V = np.array(res['value']).reshape(npd, npd)\n", - "print('V(0,0) =', V[npd // 2, npd // 2])\n", - "print('V(±1,±1) =', V[0, 0], V[-1, -1])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "764c58ae", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:03.775694Z", - "iopub.status.busy": "2026-05-12T10:16:03.775402Z", - "iopub.status.idle": "2026-05-12T10:16:04.130581Z", - "shell.execute_reply": "2026-05-12T10:16:04.128409Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -257,27 +283,52 @@ } ], "source": [ - "fig, ax = plt.subplots()\n", - "im = ax.imshow(V.T, origin='lower', extent=(-1, 1, -1, 1), cmap='magma')\n", - "ax.set_title('HJB value V(0, x, y) — quadratic terminal')\n", - "plt.colorbar(im, ax=ax)\n", + "nx_grid = 81\n", + "xs = ys = np.linspace(0, 1, nx_grid)\n", + "X, Y = np.meshgrid(xs, ys, indexing='ij')\n", + "q = 50.0 * np.exp(-((X - 0.5) ** 2 + (Y - 0.5) ** 2) / (2 * 0.05 ** 2))\n", + "res = opt.poisson_2d_zero_boundary(\n", + " q.flatten().tolist(), nx_grid, nx_grid,\n", + " 0.0, 1.0, 0.0, 1.0,\n", + ")\n", + "u = np.array(res['u']).reshape(nx_grid, nx_grid)\n", + "\n", + "print(f\"Température max au centre : {u.max():.3f}\")\n", + "print(f\"Température max au bord : {u[0, :].max():.2e}\")\n", + "print(f\"Itérations SOR : {res['iterations']}\")\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 5))\n", + "im = ax.imshow(u, origin='lower', extent=[0, 1, 0, 1],\n", + " cmap='inferno', interpolation='bilinear')\n", + "ax.contour(X, Y, u, levels=8, colors='white', linewidths=0.5, alpha=0.6)\n", + "ax.set_title(\"Plaque chauffée par une source ponctuelle (équilibre)\")\n", + "ax.set_xlabel('x'); ax.set_ylabel('y')\n", + "plt.colorbar(im, ax=ax, label='température')\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "3c13a863", + "id": "7419240e", "metadata": {}, "source": [ - "**Verified:** Poisson max-error vs analytic eigenfunction below `5e-3`; Fokker–Planck mean stays at 0 within `0.05`." + "**Résultat attendu.** Température décroissante du centre vers le\n", + "bord (Dirichlet), profil radial visible.\n", + "\n", + "**Lecture du graphique.** Iso-températures (lignes blanches) circulaires\n", + "autour de la source ; température nulle sur les bords.\n", + "\n", + "**Conclusion.** Le même solveur Poisson 2D résout des problèmes\n", + "mathématiques académiques *et* des problèmes physiques concrets\n", + "(transfert thermique, électrostatique).\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/12_stochastic_control.ipynb b/examples/notebooks/12_stochastic_control.ipynb index 3d733c3..79d5883 100644 --- a/examples/notebooks/12_stochastic_control.ipynb +++ b/examples/notebooks/12_stochastic_control.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "1c737c8c", + "id": "d555a3fc", "metadata": {}, "source": [ - "# 12 — Stochastic control" + "# 12 — Stochastic control (Pontryagin LQR)\n", + "\n", + "Doc page: [stochastic_control.rst](../../docs/source/algorithms/stochastic_control.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "2538d7df", + "id": "630ebe94", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:06.244193Z", - "iopub.status.busy": "2026-05-12T10:16:06.243690Z", - "iopub.status.idle": "2026-05-12T10:16:07.005639Z", - "shell.execute_reply": "2026-05-12T10:16:07.003895Z" + "iopub.execute_input": "2026-05-12T14:05:29.702153Z", + "iopub.status.busy": "2026-05-12T14:05:29.701881Z", + "iopub.status.idle": "2026-05-12T14:05:30.298994Z", + "shell.execute_reply": "2026-05-12T14:05:30.297851Z" } }, "outputs": [], @@ -25,30 +27,43 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", - "id": "24eca7d5", + "id": "3ece7571", "metadata": {}, "source": [ - "## Optimal switching (Snell envelope)\n", + "## Cellule 1 — LQR scalaire et équation de Riccati\n", "\n", - "Two modes; only mode 1 pays a unit reward. Free switching should give `V_0(0) = N - 1` and `V_0(1) = N`." + "**Théorème (Kalman, LQR).** Pour le système $\\dot x = ax + bu$ et le\n", + "coût\n", + "$$J = \\int_0^T (q x^2 + r u^2)\\,dt + s\\,x(T)^2,$$\n", + "le contrôle optimal est $u^*(t) = -(b/r)\\,P(t)\\,x(t)$ où $P(t)$\n", + "satisfait la Riccati rétrograde\n", + "$$-\\dot P = 2aP - (b^2/r) P^2 + q,\\qquad P(T) = s.$$\n", + "\n", + "**Équation pivot (cas $a = b = q = r = 1$).** Le point fixe\n", + "stationnaire est $P^* = 1 + \\sqrt{2} \\approx 2.414$.\n", + "\n", + "**Ce que la cellule vérifie.** Le primitive `pontryagin_lqr` retourne\n", + "$P(0)$ proche du point fixe pour $T = 5$.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "7add7040", + "id": "b3ac43bf", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:07.009088Z", - "iopub.status.busy": "2026-05-12T10:16:07.008716Z", - "iopub.status.idle": "2026-05-12T10:16:07.018949Z", - "shell.execute_reply": "2026-05-12T10:16:07.015673Z" + "iopub.execute_input": "2026-05-12T14:05:30.302507Z", + "iopub.status.busy": "2026-05-12T14:05:30.302154Z", + "iopub.status.idle": "2026-05-12T14:05:30.867738Z", + "shell.execute_reply": "2026-05-12T14:05:30.866267Z" } }, "outputs": [ @@ -56,83 +71,98 @@ "name": "stdout", "output_type": "stream", "text": [ - "V_0 = [4. 5.]\n", - "Optimal next mode at each (k, i):\n", - "[[1 1]\n", - " [1 1]\n", - " [1 1]\n", - " [1 1]\n", - " [0 0]\n", - " [0 1]]\n" + "P(0) numérique = 2.7321\n", + "P* analytique = 2.4142\n", + "P(T) (terminal) = 0.5000\n", + "Coût optimal = 2.4701\n" ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "n_steps, n_modes = 5, 2\n", - "stage = np.zeros((n_steps, n_modes)); stage[:, 1] = 1.0\n", - "cost = [0.0] * (n_modes * n_modes)\n", - "res = opt.optimal_switching_dp(stage.flatten().tolist(),\n", - " [0.0] * n_modes, cost,\n", - " n_modes, n_steps)\n", - "value = np.array(res['value']).reshape(n_steps + 1, n_modes)\n", - "policy = np.array(res['policy']).reshape(n_steps + 1, n_modes)\n", - "print('V_0 =', value[0])\n", - "print('Optimal next mode at each (k, i):'); print(policy)\n" + "res = opt.pontryagin_lqr(\n", + " a=1.0, b=1.0, q=1.0, r=1.0, s_terminal=0.5,\n", + " x0=1.0, t_horizon=5.0, n_steps=400,\n", + ")\n", + "ts = np.array(res['time_grid'])\n", + "P = np.array(res['riccati'])\n", + "state = np.array(res['state'])\n", + "control = np.array(res['control'])\n", + "\n", + "P_star = 1.0 + np.sqrt(2.0)\n", + "print(f\"P(0) numérique = {P[0]:.4f}\")\n", + "print(f\"P* analytique = {P_star:.4f}\")\n", + "print(f\"P(T) (terminal) = {P[-1]:.4f}\")\n", + "print(f\"Coût optimal = {res['cost']:.4f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(13, 3.8))\n", + "axes[0].plot(ts, P, lw=2)\n", + "axes[0].axhline(P_star, ls='--', color='gray',\n", + " label=f'P* = {P_star:.3f}')\n", + "axes[0].set_xlabel('t'); axes[0].set_ylabel('P(t)')\n", + "axes[0].set_title(\"Riccati\"); axes[0].legend()\n", + "axes[1].plot(ts, state, lw=2, color='C2')\n", + "axes[1].set_xlabel('t'); axes[1].set_ylabel('x(t)')\n", + "axes[1].set_title(\"État optimal\")\n", + "ts_u = ts[:len(control)]\n", + "axes[2].plot(ts_u, control, lw=2, color='C3')\n", + "axes[2].set_xlabel('t'); axes[2].set_ylabel('u(t)')\n", + "axes[2].set_title(\"Commande optimale\")\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "274eb1aa", + "metadata": {}, + "source": [ + "**Résultat attendu.** $P(0) \\approx 1 + \\sqrt{2}$ ; l'état $x$\n", + "décroît rapidement vers $0$ ; la commande est proportionnelle à\n", + "$-P(t)\\,x(t)/r$.\n", + "\n", + "**Lecture du graphique.** $P(t)$ plate sur $[0, T-\\epsilon]$ puis\n", + "descend vers $s = 0.5$ ; trajectoires d'état/commande lisses.\n", + "\n", + "**Conclusion.** Le LQR scalaire est validé contre le point fixe\n", + "analytique.\n" + ] + }, + { + "cell_type": "markdown", + "id": "790043ec", + "metadata": {}, + "source": [ + "## Cellule 2 — Étude paramétrique : sensibilité au coût terminal\n", + "\n", + "**Théorème.** Lorsque $T \\to \\infty$, $P(0)$ tend vers le point fixe\n", + "indépendamment de $s$.\n", + "\n", + "**Équation pivot.** $P^* = (a + \\sqrt{a^2 + b^2 q / r}) \\cdot r / b^2$.\n", + "Pour $a = b = q = r = 1$, $P^* = 1 + \\sqrt{2}$.\n", + "\n", + "**Ce que la cellule vérifie.** Sweep sur plusieurs valeurs de $s$ et\n", + "de $T$ : $P(0)$ converge vers $P^*$.\n" ] }, { "cell_type": "code", "execution_count": 3, - "id": "1bf3fb78", + "id": "0e6af886", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:07.022668Z", - "iopub.status.busy": "2026-05-12T10:16:07.022382Z", - "iopub.status.idle": "2026-05-12T10:16:07.321635Z", - "shell.execute_reply": "2026-05-12T10:16:07.320449Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "ax.step(range(n_steps + 1), value[:, 0], where='post', label='V_k(mode 0)')\n", - "ax.step(range(n_steps + 1), value[:, 1], where='post', label='V_k(mode 1)')\n", - "ax.set_xlabel('k'); ax.set_ylabel('value'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Snell envelope — free switching')\n", - "fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "id": "b439b794", - "metadata": {}, - "source": [ - "## Pontryagin 1-D LQR\n", - "\n", - "Closed-form Riccati for $a=q=0$, $b=r=s_T=1$, $T=1$ is $P(t) = 1/(1 + (T - t))$, hence $P(0) = 0.5$." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "6d27157f", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:07.324766Z", - "iopub.status.busy": "2026-05-12T10:16:07.324457Z", - "iopub.status.idle": "2026-05-12T10:16:07.333897Z", - "shell.execute_reply": "2026-05-12T10:16:07.331408Z" + "iopub.execute_input": "2026-05-12T14:05:30.870857Z", + "iopub.status.busy": "2026-05-12T14:05:30.870588Z", + "iopub.status.idle": "2026-05-12T14:05:31.158164Z", + "shell.execute_reply": "2026-05-12T14:05:31.155824Z" } }, "outputs": [ @@ -140,41 +170,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "P(0) = 0.499913334323088 analytic = 0.5\n", - "cost = 0.5000000041705193\n" + "s = 0.1 : P(0) à T=10 = 2.7321\n", + "s = 0.5 : P(0) à T=10 = 2.7321\n", + "s = 2.0 : P(0) à T=10 = 2.7321\n", + "s = 5.0 : P(0) à T=10 = 2.7321\n" ] - } - ], - "source": [ - "res = opt.pontryagin_lqr(a=0.0, b=1.0, q=0.0, r=1.0,\n", - " s_terminal=1.0, x0=1.0,\n", - " t_horizon=1.0, n_steps=2000)\n", - "tg = np.array(res['time_grid'])\n", - "P = np.array(res['riccati'])\n", - "x = np.array(res['state']); u = np.array(res['control'])\n", - "P_an = 1.0 / (1.0 + (1.0 - tg))\n", - "print('P(0) =', P[0], ' analytic =', P_an[0])\n", - "print('cost =', res['cost'])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "0dc4a80a", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:07.337718Z", - "iopub.status.busy": "2026-05-12T10:16:07.337376Z", - "iopub.status.idle": "2026-05-12T10:16:08.271548Z", - "shell.execute_reply": "2026-05-12T10:16:08.269696Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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8RnHu3Lm4u7szfvz4RLdiPNjOZDLh5uZm6f/GjRtcu3aN8uXL4+XlxY4dOx7jaB+tbNmy+Pv7kytXLurVq8eBAwcYMWIE77//vqVNaGgoQKrn/or/ZjSpW21ERESs8fb25tChQ4+8nfdhHpy/LioqiuvXr3Pt2jWaNGlCXFwcu3btSlY/P/30E4Zh0LdvX65du5bgp2XLlpjN5kfeuguQJUsWFixYwL1792jVqhVBQUGUL18+wZXBAGFhYZjN5mTd7ZQUjb8ikhrxUzr892f16tVP5fnnz59Pu3btyJMnDyaTiUmTJqW4j4ULFxIZGUm/fv0ICwtL8J79wgsvAFjWZjl48CD79u2jc+fOmM3mBG0LFixI4cKFLW3NZjNLly6lZMmStG7dOsFzvvbaa0leqerh4cHgwYMTbGvTpg0lSpRgyZIlmM1mIGXnhgsWLCAqKop3333XcvXkg6xd7frzzz8TGBhIpUqV2Lx5M3ny5ElOOlMsNDT0qY5fP/30E3/88Ueyft54441UxwX/Ozd+2PEVLVqU9u3bJ9g2cOBAvL29WbRoUYLtS5YsAe6/Hv6refPmlC5dOsnnSc04/2A9pFSpUkycOJF69eqxdu1anJ2dgeQd46NkzZqVmJgYwsPDk9X+22+/pVixYvTq1Yu2bdtiMpn49ddfLTHFe9qvrcxCU09IptarVy+6detGbGwsISEhTJw4kfPnz+Pq6vrIfa9du0Z4eDh169ZN8jaTeEePHqV48eLJmmB96dKlfPzxx+zevZvo6OgEj12/fv2R+z+On3/+GT8/P+zt7fH29qZkyZKJ3owfl/H/t8g8K4sCiohI+vDFF1/QvXt3ypcvT0BAALVr16Zx48Z06NAh2Yu33r17l3HjxvHLL79YnVsxuePskSNHgPuLwCTlypUryeqrTJkyTJw4kSFDhuDq6mr1RCie8RjzDmr8FZHUKliwID/99FOCbf+d3uZJWbhwISdPnuSFF17gu+++S1Uf8e/Z8UVha+Lfs+PbfvTRR3z00UdW2xYsWBC4X1y6desWJUuWTNTGxcWFQoUKWZ37tFChQlbf50uWLMmRI0cIDQ21THWU3HPD+OkCnnvuuSSP8UG7d++mW7du1K1bl1WrVuHo6Jis/VLraY5fNWvWTPVzWXPz5k3LWgjxfH19E1xY9rDjs/b6cHJyolChQhw6dCjB9kWLFlG1alVy5cqVaJ+iRYs+NM7UjPPx9RCTyYSrqytFihRJcirLp/k3zJIlC/Pnz6dChQpcv36dOXPmUKRIEZvHlVmoUCyZWqFChSyTtTdp0oTAwEAqVKhA586d+fvvv5/6G8ayZcto06YNlSpVYvLkyQQEBFiK1vHfaj9JtWrVeuQ3yfEDR1hYGDly5Ejxc4SFhQGQLVu2lAcoIiKZVosWLTh9+jRr1qxh48aNbNy4kZ9++on33nuPbdu2JWuO/m7durFs2TL69evH888/j5+fHw4ODuzevZtRo0Yle5yNb7dixYoki7rxhYTk9PXbb78B9xeyO3LkSKKToaxZs2JnZ2cZQ1ND46+IpJarq2uiOUCflvnz51suykltoTj+PXv69OkJFuN6UHxhLr7t4MGDk5yzNDkXFaWFJ3luWKRIEZydndm8eTNLly5NMO/rozzsHDk2NjbRNn9/f06ePJmqOCHl41doaGiy5yh2dXW1zDedlFdffZUff/wxwbYNGzZQt27dBOfGj+vatWts2rQpyS8o4q8uT0pqxvkH6yFJSYtjDAsLw8nJKUVrJPz222+WQu7evXt58cUXrcb2NF9bmYUKxSIPKFGiBK+++ioff/wxP//8M127dk2yrZ+fHz4+Puzfvx+z2fzQq4qLFi3K0aNHuXPnzkOvKv7xxx9xcXHhr7/+SjAQ3Llzx+ptGrb45iv+dpdjx44lKhQnJ55jx44BaCE7ERFJMW9vbzp16kSnTp2A+7cmvvLKK3zzzTeWlayTGotu3rzJsmXLePHFF/n+++8TPBY/Nj3oYWNa0aJFWb16NTlz5kz21VtJ+eijj/jjjz94++23mT9/Pr1792bv3r0EBARY2tjZ2VGiRAmrcT4q1njHjh3Dzs7O6pVNIiKP68aNG7z55pssWbKE69evU7p0aT766CMCAwMfq99H3bmZHPFXYvr4+DyyKPbgVZuPapstWzY8PDw4fPhwosciIyM5ceKE1dviT5w4QVRUVKIvGg8fPoynp6elMJeSc8P4uPfu3Zushcw8PT1ZsWIFL7zwAl26dOHevXv06NHjkfvB/6YgvH79Ovnz50/w2MmTJxNN4Vi6dGn++usvzp07R968eRM89iTOHytXrsyZM2eS1bZnz57MmjXroW3eeOONREXK+DuK8ubNi6enZ5LjM2D19REdHc2JEycoXLiwZdvSpUuJi4ujXbt2yYr9v57UeXapUqUS9J8ax44de+i0Gf/1999/M3bsWJo2bYqnpyeTJ0+mbt26tGjRIkG7p/3ayiw0R7HIf7zxxhtkyZKFsWPHWv1GNJ6dnR1du3bl5MmTfPXVV4kef/Ab3hdffJE7d+7wzjvvPLSdvb09JpMp0bfD48aNs/qNcZYsWZ74dBT/VbduXQC2bt1qNR54+K2727ZtA6BevXppH5yIiGRIcXFxVr8wrVixIpDwKpcsWbIQHh6e6FbE+GLDf7ffunWLyZMnJ+r7YWNa9+7dARg9ejQxMTGJHr958yZRUVEPPSaATZs2MWbMGJo0acL777/P/PnzuXPnDp07d070GaRu3bqcPHnS6pQWSR3zg7Zt20aFChVSdDWPiAjA8ePH8fLywsnJiYoVK7J06dIEj0dHR9OoUSNWrFjBhx9+yPLlyylZsiTNmzfnwIEDtgn6AR07dsTFxYWxY8dy+/btRI/fu3ePW7duAVC+fHnKlCnDjBkzLNNQPMgwDMucrXZ2drRq1YrDhw8nysnnn39u9bng/rjz3/PHJUuWcOTIEVq3bm0Zr1JybtihQwecnZ0ZN26c1XErqXPJ33//nUaNGtGrVy+mTp1qNd7/KlasGECiufjnzp3LpUuXErVPi/NHOzs7nn/++WTFl9ZzFJcsWZKGDRsm+PHx8QHu/41q167Nzp07k7yK+ejRoyxcuDDBtm+++YYbN27Qtm1by7bFixdTrly5ZN+R9F/btm3Dz88vRQXZ5Iifv9ja3w8eXZO4cOEC586dS/b5f2hoKF26dCFHjhzMnj2badOmUbhwYXr16sW5c+cStH3ar63MQlcUi/xH1qxZGTRoEBMmTGD27Nn06dMnybYffPABGzdu5LXXXmPDhg3UqVMHJycnDh06REhICOvXrwfu366ycuVKPvvsM/bu3Wv5Zuzo0aOsXbuWgwcPAvcH+IULF1KnTh169eqFYRisWbOGw4cPW12UoFq1asyYMYN33nmHEiVKYGdnR4sWLZI1F3JqVaxYkcKFC7NixQpGjhyZ4LHKlStjZ2fHhx9+SHh4OO7u7hQoUICqVata2qxYsYKSJUum+QAmIiIZ161bt8iZMyctWrSgfPny5MyZk4sXLzJt2jQcHBzo1q2bpW21atVYsWIFgwYNokaNGtjb21O/fn2yZctGkyZN+Omnn3B2dqZq1apcunSJGTNmWOaCfFDJkiXx8PBgypQpuLm54e3tTbZs2ahfvz6VKlXigw8+4O2336Z06dJ06dKFPHnycPXqVQ4cOMCyZcs4fPhwoiutHnTt2jXLidCcOXMwmUxUqFCByZMnM3DgQN566y0mTpxoad+pUye++eYbVqxYQd++fRP09bBjBggJCeH48eMJ+hMRSY4KFSpQuXJlSpUqxY0bN5g6dSpt2rRhwYIFlgW6fvrpJ/bt28f+/fstdy00btyYY8eOMW7cOH799VdbHgK5c+fmu+++o0+fPhQrVoyePXtSsGBBrl+/TnBwMIsXL2bp0qXUrVsXk8nE3LlzqV+/Ps899xy9evWiTJkyxMTEcPr0aZYuXUrPnj0td7F88MEHrF69mo4dO/LKK69QvHhxtm/fzvLlyylUqJDVC48KFSrE+PHjOXToEFWrVuXIkSNMnToVf39/PvjgA0u7lJwb5s6dmy+//JKgoCBKlSpF7969KVCgAFevXmX16tUMHz6cVq1aJYrF1dWVZcuW0alTJwYMGMC9e/cYNmzYQ/PZsGFDSpYsyTvvvMPVq1cpUqQIu3btYvny5RQuXDjRF6hNmjSxXMEcf0dQvPgpTUaOHEm3bt1wcXGhdOnSlnNFs9nM77//TuPGjR85RUS8tJ6j+FE6derEypUr2bhxIw0aNEj0eJkyZejVqxd///03JUqU4J9//mHWrFkULVqU4cOHA/e/YF6/fj1vvfVWqmK4efMmmzdvpnfv3k/kruNOnTrx7rvvcvz48QRXQcP9v+G6deuYOHEiAQEBmEwmOnfubHl8xYoVwP0vbB7FMAx69OjBlStX2LBhg+V1/uuvv1K9enW6dOnCxo0bcXC4X8p82q+tTMMQyYQ2bNhgAMa4ceOsPh4aGmpkyZLFyJ8/vxEVFWUYhmGMGTPGAIxTp04laHvz5k3jzTffNIoWLWo4OTkZ3t7eRpUqVYwpU6YkaBcVFWVMnDjRKFOmjOHi4mJ4eHgYZcuWNcaOHZug3YwZM4zSpUsbLi4uhr+/v9G1a1fj3LlzRr58+Yw6deokaHvlyhWjbdu2ho+Pj2EymRLE17NnTyO5/8Tj2547dy5Z7T/99FMDMI4fP57osVmzZhklSpQwHB0dDcDo2bOn5bGQkBADML766qtkPY+IiIhh3B9DR48ebVStWtXw8/MznJycjDx58hjt27c3duzYkaDtnTt3jD59+hjZsmUz7OzsDMDYsGGDYRiGERYWZvTv39/InTu34ezsbBQrVsz4+OOPjXXr1hmAMXPmzAR9rVy50qhQoYLh7OxsAInG4dWrVxvNmjUzsmbNajg6Ohq5cuUy6tWrZ3z66afGvXv3kjwes9lsNG3a1LC3tzf++uuvRI+3b9/eMJlMxqpVqxJsL1OmjFG7du1E7R92zIZhGG+++abh7OxshIaGJhmTiGQON27cMI4cOfLIn/hzoP+Ki4szqlatapQoUcKyrXPnzkaFChWMmJiYBD9vv/22kT9/fku70NDQZD232Wy2+tyA8cknnzz0+P57/vGg7du3G+3btzeyZ89uODo6GtmzZzeqV69ujBs3zggLC0vQ9ty5c8bAgQONggULWs7xypQpY7z66qvGoUOHErQNCQkxWrVqZXh4eBhZsmQxGjVqZOzdu9eoU6eOkS9fvgRt48/p9u3bZzRq1MjIkiWL4eHhYbRq1co4duxYophTcm5oGIaxfv16o0mTJoaPj4/h5ORkBAQEGN26dTNOnDiRKIYHxcTEGF27djUA4/333086wf/v+PHjRrNmzQx3d3fDw8PDaNasmXHkyBGrx2wYhjF48GDDzc3NiIiISPTYxIkTjQIFChgODg4GYIwZM8by2Nq1aw3A+O233x4Zk61ERkYa/v7+Rvfu3RM9Fv96/PPPP40aNWoYrq6uho+Pj9G9e3fj8uXLlnZz5841AOPAgQOJ+jh16lSivPzX999/n+T+1jyqHvJfly5dMhwdHY133nkn0WNHjx41GjVqZHh4eBhAohpEjRo1jIoVKybreT766CMDMD744INEj3399dcGYIwcOTLB9oz82rIVFYpFJMVu375t5MqVyxgwYECK9uvfv7+RN29e4+7du08oMhERkYxr8eLFBmDs3Lkz2ftEREQYfn5+xvDhw59gZCLyrJg2bZqlmPOwnyNHjiTZx8cff2wAls/0DRs2TLIfe3t7y35vvfVWsp47qS/aklMolvTp3Llzhpubm/Hxxx+naL/GjRsblStXTvLLg/Ri8uTJhrOzc7IvvPqvNm3aGEWKFEnVvnFxcUbJkiWN9u3bp2r/5BoyZIiRLVs24/bt28neZ9u2bQZgrFix4onFldFfW7ZgMoyHTGYmIpKE2bNn89JLL3H06NEkVw9+0MmTJylevDg//vgjXbp0eQoRioiIZDwNGjTAwcGBNWvWJKv9uHHj+Oqrrzh+/Dienp5PODoRyQw++eQT3njjDe7evYurqyudOnUiODiYGTNmWG1fqVKlNHlek8nEJ598YrldX54t77//Pl999RUnT57Ew8Pjke03bdrE888/z9atW6levfpTiDD1YmJiKFOmDHXq1OG7775L8f6ffPIJxYoVo2XLlined86cObz00ksEBwc/dMqrxxUeHk6RIkV4/fXXGT16dLL2SelnltTKyK8tW1ChWEREREREREQeyWw2U61aNe7evWtZZ2XatGkMGzaMkJAQcuXK9cSeW4ViEZEnT4vZiYiIiIiIiEgCZ86coWfPnnTp0oXChQsTHh7O1KlT2bVrF4sWLbK069GjB9999x1169Zl+PDhFC1alBs3brB3716io6P56KOPUh3D4cOHOXz4sOX3AwcOsHDhQtzd3WnatOljHZ+IiCSmK4pFREREREREJIHr16/Tu3dv9uzZw9WrV3FycqJSpUqMGjWKxo0bJ2gbERHB2LFjWbRoEZcuXcLPz48KFSowYMAAmjdvnuoYxo4dy3vvvZdoe758+Th9+nSq+xUREetUKBYRERERERERERHJ5OxsHYCIiIiIiIiIiIiI2JYKxSIiIiIiIiIiIiKZ3DO5mF1kZCQHDhzA398fB4dn8hBEROQxxMbGEhoaSpkyZXBxcbF1OPL/ND6LiGRuGp/TJ43PIiKZW0rG52dylDhw4ABVqlSxdRgiImJjO3fupHLlyrYOQ/6fxmcREQGNz+mNxmcREYHkjc/PZKHY398fuH+AOXPmTFUfcXFxhIWFkTVrVuzt7dMyvGeecmOd8mKd8mKd8mJdWuXl0qVLVKlSxTIeSPqQFuMz6N9PUpQX65QX65QX65QX6zQ+Z2wan58s5cU65cU65cU65SVpaZGblIzPz2ShOP52mZw5c5InT55U9REXF4ezszP+/v56Ef6HcmOd8mKd8mKd8mJdWudFt0+mL2kxPoP+/SRFebFOebFOebFOebFO43PGpvH5yVJerFNerFNerFNekpaWuUnO+KzF7EREREREREREREQyORWKRURERERERERERDI5FYpFREREREREREREMrkMO3mUYRhcu3aNyMhI4uLirD4eGRnJvXv3MJlMNogw/UpPubG3t8fFxQU/Pz+bxyIiIiIiIiIiIpJRZchCsWEYXLhwgVu3buHk5GR1smeTyYSzs7OKj1akp9xER0dz+/ZtoqKiyJ07d7qISUREREREREREJKPJkIXia9eucevWLbJly0bWrFmttjEMg9jYWBwcHFR8/I/0lpuwsDCuXr3KtWvX8Pf3t3U4IiIiIiIiIiIiGU6q5ig+fvw4QUFBlC9fHgcHB0qXLp2s/QzDYMKECQQEBODq6kr16tXZvn17akJ4qMjISJycnJIsEsuzJWvWrDg5OREZGWnrUERE0rX0Pj6LiIiIiIhI+pWqQvGhQ4dYuXIlhQsXpmTJksneb+LEiYwZM4ahQ4eyYsUKcubMSWBgICdPnkxNGEmKi4uzOt2EPLvs7e2tzjUtIiL/k97HZxEREREREUm/UlUobtGiBefOnWPhwoU899xzydonMjKSjz76iNdff52hQ4fSoEEDfvnlF3x9fZk0aVJqwhAREZEHaHwWERERERGR1EpVodjOLuW7bd26lYiICDp27GjZ5uTkRNu2bVm1alVqwhARkWdM+N1oDMOwdRgZVkYZn0NvRdnkeUVERCRpt6NibR2CiIg8YU9tMbvg4GAAihcvnmB7iRIlOHv2LPfu3cPV1dXqvhEREURERFh+v3TpEnB/iglr0xEYhoHJZHpoMcIwDMuPJJRec2MYhk2nn4iLi8NsNmsKjP9QXqxTXhKLi43l1R/Wc8fkwfi2zhTL6ZX6vpTXNPM0x+fkOHIpgk7f76BLBX9GNPNJVR8Zld5XrFNerFNerFNerEurvCivGdfNezHU+ngjlfJkoV8dO2oU9k8XC5+LiEjaemqF4vDwcJydnXFxcUmw3cfHB8MwCA8PT/JEdPLkybz33nuJtoeFheHs7Jxoe2RkJM7OzsTGJv2N54NFRw1wCaV1bvr27cvu3bvZt29fqvswm81ERUURGhr62PE8Tgw3b94EUnfVXkalvFinvCQWsnYaU69P4ZPYjhw544+vQ3Sq+woLC0vDyDK3pzk+J8ek1Se4Ex3H9B2XOXU9kncCC+DiqH9DoPeVpCgv1ikv1ikv1qVVXjQ+Z1yL95znVmQsG47fYMPxfyiW3YMeNfLRpkJu3JyeWllBRESesGfiHX3YsGH069fP8vulS5eoUqUKWbNmxd/fP1H7e/fuYTKZcHBI+vDir5Z1cHBQofg/0jo37777Lnfu3Hno3+NR7OzscHFxsfr3flrii+d+fn5aLPEByot1yktC10MvUv7kVDxNd2nlcZSylQs/Vl6iojQ1QXqQ0vE5Ob7u5ssbi/5l1cErrD92g6t3T/Btt+fI4eXy6J0zOL2vWKe8WKe8WKe8WJdWedH4nHF1rhyAk72JHzaf5MS1e4RcucVbSw4y4fdgOlbKS4/q+ciX1d3WYYqIyGN6aoViHx8foqKiiIyMTHDVUnh4OCaTCR+fpG8v9fT0xNPTM9F2e3t7qx9k4oubjypymkwmy48klBa5ib9duXDhwmkWk60/0NvZ2SX5usvMlBfrlJf/+ezvS2SNaUofhzW4NXnvsfOinKadpzk+J0cWV3u+7FyePCsP8P22ixy4EEGbqduY1qMS5fJ6p6rPjETvK9YpL9YpL9YpL9alRV6U04zL1cmezpXzUj+fM6fvODBnx1nWHLrCrchYZmw+xQ9bTlGvWDZ6VM/H80X8sbPTObaIyLPoqd1vFT/3YUhISILtwcHBBAQEJHlba2bXq1cvSpcuzcaNG6lQoQLu7u5UqVKF3bt3A3D69GlMJhMLFy5MsN9rr71G/vz5Lb/PmjULk8nErl27CAwMxM3NjWLFirFu3TrMZjNvv/022bNnJ3v27IwePRqz2ZygvyNHjtCqVSu8vLxwd3enefPmnDhxIkEbk8nEhAkTGDlyJDly5CBbtmwJjuFBFy5coEePHmTPnh1XV1eKFy/OF198kVZpE5F0ZPeZ68zbE8pXcW1ZUHsVvjkCbB2SPCA9js8mk4k+VXPyTZfyuDrac/VWFB2/28Zv+y8+9VhERETkf0wmE1UK+DKlW0U2j6zHoHqFyeruhGHAn8FX6TXzHxpM/osfNp8iIjLG1uGKiEgKPbUrimvUqIGnpycLFiygXLlyAMTExLB48WKaNWv2xJ8/OtbMhRv3LL/fn4c3Fnv7pzf1RG5vV5wcUl6bv3z5MkOGDGHUqFF4eXkxevRo2rRpk6hQmxw9evQgKCiI119/nQkTJtC2bVt69uxJREQEs2fPZseOHYwZM4aSJUvSvXt3AE6ePEmNGjUoXbo0s2bNws7Ojg8//JAGDRoQEhKSYB7KL774gmrVqjFjxowk54gOCwujevXqAHz44YcULFiQY8eOpep4RCR9i4kz89aSgwAUzpaF7rVLcDNc8xemJ7Yenx+mSekc5PPLwkuzd3HpZiSDf97LsSu3eK1hUV2pJCIiYmM5vVwZ3rgYgxsUZuW/l/hx62n2n7/JqWt3eH/FYSatDaHtc7npWT0/RbJ72DpcERFJhlQViu/evcuqVasAOHPmDBEREZYrWuvUqYO/vz8NGjTgzJkzHD9+HAAXFxdGjx7N2LFj8ff3p0yZMkyZMoWwsDCGDx+eRoeTtAs37lFv0sYn/jwPs2F4XQr4pXzepuvXr/PXX39RqlQpANzd3alXrx47duwgT548Kepr8ODBvPLKKwDkzp2bMmXKsGvXLrZt2wZA48aNWb58OYsWLbIUit977z18fX35448/LLcl16hRg4IFCzJjxgwGDBhg6d/X15fFixc/tPg+efJkrl69SnBwsOWq5/r166foOETk2bBz/kfUDL3IMRrzfqtSqfqyTJLvWRyfH6V0bi+WDazJy3N2s+/cDb788zjHrt7m047ltHiOiIhIOuDsYE/b5/LQ9rk87Dt3gx+3nmblv5e4Gx3H3O1nmbv9LDULZ6VPzQLUK5ZNX/aKiKRjqTrDunr1Kh06dEiwLf73DRs2ULduXeLi4hJdUTpy5EgMw2DSpEmEhoZSvnx51qxZQ8GCBVMZfuaQK1cuS5EYoGTJkgCcP38+xYXiRo0aWf6/aNGiADRo0CBBm6JFiya4BXnt2rV07twZBwcHy9/Ux8eHChUq8M8//yTYt2nTpo+8Qnv9+vXUr18/wdQYIpLxXDoTQoWQL6jpGEXVnA7UKNTSsliOPBkZdXzO5unCLy9XY9Sif1m67yK/H7zM2et3mdajErm8NXWViIhIelE+rzflO5XnzWYl+GXnWX7acZbLEZFsOR7GluNhFPRzp3fN/LSrmEdf+IqIpEOpemfOnz8/hmE8tM3GjRsTbTOZTIwePZrRo0en5mkfS25vVzYMr2v53VZTT6SGt7d3gt+dnJwAiIyMfKy+4vux1v+DfV+7do3PP/+czz//PFF/8X3Ey549+yNjCAsLSzRnsYhkLIbZzNVfBpPTFEU4HlTuNMrWIWUKz+L4nFwujvZ81qk8RbJ78MmaEA5djKDl11uY1qMiFQKSXnBPREREnj5/D2cGNyhCUN1CrDl0mR82n2LP2RucvHaHd5YdYtLao3SpEkDPGvnI6aUvfUVE0otM8xWek4NdgmkfDMMgNjYWB4enVyh+EuKngoiOjk6wPTw8PM2ew9fXl+bNmyeYYiKeh0fCuaaSk8usWbNy8aIWJBLJyPatnU2FezsAOFZuJFX8c9o4IskITCYTA+sVpnC2LAydv49rt6Po9P12Pm5XltYVcts6PBEREfkPR3s7XiibixfK5mLv2XBmbD7F7wcvc/NeDN/+dYLpm07SvGxO+tYqQNk83rYOV0Qk08s0heKMKlu2bDg6OnLkyBHLtujoaP766680e46GDRty8OBBKlSogL29fZr0N2nSJM6ePUtAQEAaRCgi6cmtm9fJvf09AA45laFyq4E2jkgymsalcrAwqAb9fvyHizcjeW3+Po5eucXwwGKa91BERCSdqhDgw9ddfbhw4x6zt55m3s6z3IqMZdm+iyzbd5HK+X3oW6sAjUrmwF7juYiITWhVoWecnZ0dbdu25euvv+bHH39k5cqVtGrV6pG3HqfEe++9x7Fjx2jcuDG//vorf/31F/Pnz2fAgAH8/PPPKe5v6NChZMuWjeeff54ZM2awYcMGZsyYwciRI9MsZhGxnUNz3yAb14k27MnS7itMdhpqJO2VzOXJskG1eC7AG4ApG08QNHc3d6JiH76jiIhkWMHBwTRq1Ah3d3dy5MjBG2+8kejOS2sMw2DChAkEBATg6upK9erV2b59e6J2Fy9epF27dnh4eODr60u/fv2IiIhI1O63336jXLlyuLi4ULRoUWbOnJmoTXR0NCNGjCBHjhy4u7vTqFGjBOvExFu+fDlVq1bFw8ODnDlz0rFjR06ePJnMjKRPub1dGd2sBNtHN+C9lqXIn9UNgH9OhxM0dw91J21gxuZT3IqMsXGkIiKZj87eM4CvvvqKunXrMmTIEPr370+TJk1o06ZNmvVfuHBhdu7cSdasWRkwYACNGzdm1KhR3Llzh7Jly6a4v6xZs7JlyxZq1arFG2+8QbNmzZg0aVKKF+YTkfTn2N6/qXJ1IQC78/YkX7EKNo5IMjJ/D2d+frkabZ+7P+3E2sNXaDd1K+fD79o4MhERedrCw8OpX78+0dHRLF68mPHjx/P9998zbNiwR+47ceJExowZw9ChQ1mxYgU5c+YkMDAwQUE2JiaGxo0bc/ToUebNm8fUqVNZs2YNXbt2TdDX5s2badOmDdWrV+f333+nU6dO9O3bl4ULFyZoN2TIEKZNm8b48eNZvHgxUVFRNGjQgJs3b1rabNy4kTZt2lCyZEmWLFnC559/zv79+wkMDOTevXuPmTHbc3d2oGeN/Kx/vS7TelSiWkFfAM5dv8e4FYep/tGffLjyMJduPvvHKiLyrNDUE+ncrFmzEm3z9vZOcMWwv78/S5YsSdTuwcXnevXqRa9evRK1sXbl8cyZM4mNTXhFVpEiRZg/f/5DY03qKmZrx5A3b17mzp370P5E5NkSG2dm8fpNDMSZGyYfKnQdZ+uQJBNwdrDn0w7lKJrdg4mrgwm+fIvW32zhu+4VqZjP19bhiYjIU/Ltt98SERHBkiVL8PW9//4fGxvLgAEDePPNN8mVK5fV/SIjI/noo494/fXXGTp0KAC1a9emaNGiTJo0iSlTpgCwcOFCDh06xJEjRyhWrBgAPj4+NG7cmJ07d1KlShUAxo0bR9WqVfn2228BqFevHidOnODdd9+lffv2AJw/f57p06czZcoU+vTpA0DlypUJCAjgu+++44033gDgl19+IV++fPzwww+WtWCyZctG/fr12bVrF7Vr107zPNqCvZ2JRiWz06hkdg5euMkPW07x2/6L3I6KZdqmU8zccpqW5XPx8vMFKZ7D09bhiohkaLqiWERE0sTsbWeYeq08jaI+IbTxVFzcstg6JMkkTCYTQXUK8X33Srg72XPtdjRdvt/Bot3nbR2aiIg8Jb///jsNGza0FIkBOnbsiNlsZu3atUnut3XrViIiIujYsaNlm5OTE23btmXVqlUJ+i9btqylSAzQqFEjfH19Le2ioqLYsGEDHTp0SPAcnTt35siRI5w+fRqAtWvXYjabE7Tz9fUlMDAwwXPGxMTg4eGRYMFwLy8vIOmLdJ51pXN7MbljebaMrM/AeoXwdHEg1myweM8Fmny+iV4zd7LtRFiGPX4REVtToVhERB7bpZv3+HTt/Xn1qpQvQ4Vq9WwckWRGjUpmZ9GAGuTxcSU6zszrC/bz0e9HiDPrZFJEJKMLDg6mePHiCbZ5e3uTM2dOgoODH7ofkGjfEiVKcPbsWcsUD9b6N5lMFC9e3NLHiRMniImJsdrXg88VHBxMtmzZ8PHxSdTuwVh79erF4cOHmTJlCjdv3uTkyZO8+eabVKhQgZo1az48Ic+4bJ4ujGhcnK2jG/DOCyXJ7e0KwMaQULpM207rb7aw8t9LGuNFRNKYpp4QEZHHYpjNrJzzOTHRJfB0ceXt5iVtHZJkYsVzeLJsYE1embuHnaev891fJzlx9Tafd65AFmd97BERyajCw8Px9vZOtN3Hx4fr168/dD9nZ2dcXFwS7WcYBuHh4bi6uiar//DwcIBE7eILwg+2S06stWvXZsmSJXTt2pWBAwcCUL58eVavXo29vX2SxxQREZFgkb1Lly4BEBcXR1xcXJL7PUpcXBxms/mx+kgpVwcTvaoH0K1KHlYduMz3m04RfPkW+8/fZOC8PQT4utG3Zn7aPZcbV6ekc/Ik2SIvzwLlxTrlxTrlJWlpkZuU7KszJhEReSx7f59Bv2sTqOuUi4MNfsLfw9nWIUkmlzWLM3P7VeXtpQf4ddd51h25SrspW5nesxJ5fd1sHZ6IiEiybN26le7du/PSSy/xwgsvEBYWxrhx42jevDmbNm3C1dXV6n6TJ0/mvffeS7Q9LCwMZ+fUf04zm82Wxfbs7J7+zck1cjtSvVMRdp69xZxdl9l17hZnr99lzG+H+WzdUdqX86d9uWx4uz7dMoet85JeKS/WKS/WKS9JS4vchIWFJbutCsUiIpJqN0Ivkf+f9wGIdMlGq5rlbRuQyP9zcrBjYruyFM3uwfhVRwi5cotW32zh2xcrUqWAFrkTEclofHx8LCfSDwoPD08wb7G1/aKiooiMjExwVXF4eDgmk8lyNfDD+s+bN6+lDZCoXfyVxvFxJDfWIUOGUL9+fT799FPLtmrVqhEQEMCcOXN4+eWXrR7TsGHD6Nevn+X3S5cuUaVKFbJmzYq/v3+SuXiU+CvS/Pz8HnpF85P2QrZsvFCpEAcv3GTa5lOsOnCZG/dimb79EnN3X6FDxTy8XLsAubytF9LTWnrJS3qjvFinvFinvCQtLXITFRWV7LYqFIuISKodnzuYSkRwz3DCu9MUTPr2V9IRk8lEv9oFKeSfhcE/7+X6nWi6Td/Oh63L0LFyXluHJyIiaejBuYLj3bx5k0uXLiWaM/i/+wGEhIRQrlw5y/bg4GACAgIsV+0WL16cAwcOJNjXMAxCQkJo1KgRAIUKFcLR0ZHg4GAaN26coK8Hn6t48eJcuXKF8PDwBPMU/3ce5MOHD9OqVasEz5knTx78/Pw4ceJEksfk6emJp6dnou329vaPXYCxs7NLk37SQrkAX77u6su563eZvukk83edIzLGzJztZ/l55znaVMhNUN1CFPJ/8gssp6e8pCfKi3XKi3XKS9IeNzcp2U9n9CIikir/blxIpZt/ALCvyEDyFCpl44hErKtXPBtLBtQgwNeNmDiDNxb9ywcrDmsBHBGRDKRp06asW7eOGzduWLYtWLAAOzs7AgMDk9yvRo0aeHp6smDBAsu2mJgYFi9eTLNmzRL0v3//fo4dO2bZtn79esLCwiztnJ2dqVevHgsXLkzwHPPnz6dEiRLkz58fgMDAQOzs7Fi0aJGlTXh4OGvXrk3wnPny5WPPnj0J+jpz5gzXrl2z9CWQ19eN91qVZuuoBrzWsAjebo7Emg0W7D5Pw8l/MXDeHg5dTHwFt4iIJKZCsYiIpNidiHCybRwFwDH7IlTu9KaNIxJ5uCLZPVg6sCZV/3/aiembT9H3x3+IiIyxcWQiIpIWgoKC8PDwoHXr1qxdu5aZM2cyYsQIgoKCyJUrl6VdgwYNKFy4sOV3FxcXRo8ezaRJk/jiiy/4888/6dKlC2FhYQwfPtzSrn379pQqVYp27dqxYsUKfv31V/r06UPz5s2pUqWKpd0777zDtm3bGDBgABs3bmTMmDHMmzcvwZzBefLkoV+/fowYMYKZM2eydu1a2rRpg5eXF/37909wTEuXLuXVV19l3bp1zJ8/nxdeeIFs2bLRsWPHJ5XKZ5avuxOvNSzKlpH1eatZCbJ5OGMYsPLfSzT/cjN9Zv3D7jNJL2woIiKaekJERFLh4JzhVCWUGMMeu9bf4ODoZOuQRB7J192JOX2rMmb5QX7eeY6NIaG0nbKVGT0rkS+ru63DExGRx+Dj48P69esZPHgwrVu3xsPDg379+vHhhx8maBcXF0dsbGyCbSNHjsQwDCZNmkRoaCjly5dnzZo1FCxY0NLG0dGR1atXM2TIELp06YKDgwNt27bls88+S9BXrVq1WLx4MW+//TYzZswgICCA6dOn06FDhwTtvvjiC7JkycKoUaO4desWNWvWZN26dXh5eVnaDBkyBGdnZ6ZOncqMGTPw8PCgevXqLFiwgKxZs6ZV6jIcd2cHXnq+IN2r52Ph7vN8+9cJzoff48/gq/wZfJWqBXwZVL8wtQr7YTKZbB2uiEi6okKxiIikyL6jpyl0dS2YYFeenlQvU9XWIYkkm5ODHePblKFodg/GrTjM8au3afXNFqZ2q0j1QjrpFhF5lpUoUYJ169Y9tM3GjRsTbTOZTIwePZrRo0c/dN/cuXMnmC4iKS1btqRly5YPbePs7MykSZOYNGlSkm1MJhNBQUEEBQU98jklMRdHe16slo/OlfPy278XmbLhBMeu3mbHqevsmLGTcnm8GFCvMI1KZMfOTgVjERHQ1BPygI0bN2Iymdi1a1eK9hs7dixbt25NtN1kMj30g4+IPHuiYuMYvuIMgVEfM9+xNRVe/PDRO4mkMyaTid41CzCzdxU8XBy4cTeG7jN28PPOs7YOTURERNKYg70dbSrkYc1rz/PtixUpk/v+Vdv7z9+k/5zdNP78b5buvaC1C0REUKFY0sB7771ntVC8bds2unXrZoOIRORJ+ebP4xy/eptwkyeFun2Gi6ubrUMSSbU6Rf1ZMqAm+bO6EWs2GL34AGOXHyI2zmzr0ERERCSN2dmZaFI6B8sH1WR2nyqWdQuOXb3Na/P30WjyXyzZe16fA0QkU1OhWJ6YatWqkTNnTluHISJp5Hjwv8zeeACA7tXyUSm/r40jEnl8hbNlYenAmtT4/2knZm09TZ8fd3Hznha5ExERyYhMJhPPF/Vnfv/qLAyqTt1i/gCcvHaHofP30+izv1m0WwVjEcmcVChO57Zt20bLli3JlSsX7u7ulC9fnjlz5lgej58u4o8//qBr1654eHiQL18+Pv744xT1Y0379u2pWbNmou1Tp07FxcWF69evWyb/HzFiBCaTCZPJZJn3y9rUEytXrqRmzZq4ubnh4+ND3bp12bt3b2pSIyJPUUx0JHYLurPCcSTNPE7wRpPitg5JJM14uznxY58qvFgtAIC/j4bSZsoWTl27Y+PIRERE5EmqlN+XWb2rsHRgTeoXzwbAqWt3eH3BfhpO/ouFKhiLSCaT+RazCztx/7+GAXGxYO8AD6506uoDbg9cJRd+BswJV8VNwCkLeGT/3+8RFyHmXuJ2WQulKtwzZ85Qs2ZNgoKCcHFxYcuWLfTt2xez2UzPnj0t7YKCgujevTtLlixh6dKljBw5krJly9KkSZMU9fOgfv360axZM0JCQihWrJhl+w8//ECbNm3w9fVl27ZtVK9encGDB9O1a1cASpYsabW/+fPn06VLF1q1asW8efNwcnJiy5YtXLhwgQoVKqQqPyLydOyZ8xZV406DCYJq5yOLc+YbPiRjc7S344PWZSiW3YOxvx3mZOgdWn+zhandnqNGYT9bhyciIiJPUPm83vzQqzL7z93gy/XHWB98ldNhdxm+YD9f/XmMQfUK06ZCbhzsda2diGRsme9M/6vnADABjtYer/82PD/if7/PaQ3XTybdX7mu0Gbq/37/7VU4tjZxu7E3UxEsdO7c2fL/hmHw/PPPc/78eb777rsEBd527doxduxYABo0aMDKlStZuHChpVCc3H4eFBgYSEBAAD/88AMTJ04E4ODBg+zatYvx48cD96eXAAgICLD8vzWGYTB8+HACAwNZsmSJZXuzZs1Skg4RsYET/26m4tkfwATbsrah+vOtbB2SyBPTvXp+CvhlYcBPu7l5L4buP+xkbMtSdK+Wz9ahiYiIyBNWLq83M3pV5sD5m3yx/hjrjlzhTNhdRiz8l6/+PM6g+vcLxo4qGItIBqV3t3QuPDycIUOGkC9fPhwdHXF0dOT777/n6NGjCdoFBgZa/t9kMlGiRAnOnz+f4n4eZGdnR9++fZk9ezaxsfevqv7hhx/Ily8fDRo0SNFxhISEcP78efr06ZOi/UTEtqIj72G3dAAOJjMXTNkp0+tzW4ck8sTVKuLH0oE1KejnTpzZ4J2lB3l32UFidOupiIhIplAmjxfTe1ZixeBaNCp5/w7is9fv8sbCf6n/6Ubm/3NWnwtEJEPKfFcUD94D3L/CNTYuFgd7B8s8u8D9qSce1H3po6eeeFCLL6xPPZFKvXr1YuvWrbz77ruUKlUKT09Ppk6dyvz58xO08/b2ThiWkxM3btxIcT//1adPH95//31WrVpF06ZNmTt3LgMGDMDOLmXfMYSFhQGQK1euFO0nIra1d84oqprPAHC94Wfk9vC2bUAiT0lB/ywsGVCTQT/vYdOxa8zedoYTobeZ0rUiXm5W70kSERGRDKZ0bi+m9ajEwQs3+XL9MdYevsK56/cYuegA32w4wWsNi/BCmRy2DlNEJM1kvkJx/FzBhgGxseDwnzmK/8snhbeaeqZdITQyMpIVK1YwefJkBg8ebNluNqfsm8vH6SdPnjw0adKEH374gdjYWK5du0bv3r1T9PwAWbPeX03+4sWLKd5XRGzj+N6/qXT+x/tTTvi1p3rN5rYOSeSp8nJzZGavynyw8giztp5my/EwWk/ZwvSelSjkn+XRHYiIiEiGUDq3F9/3qMShizf5av1xVh+6zNnrdxn2636mbjxB78rZ6JDVD3t7W0cqIvJ4NPVEOhYVFYXZbMbJycmy7datWyxfvvyp9vPSSy+xcuVKJk2aRIMGDciXL2Hx3NHRkcjIyIf2UaxYMfLkycPMmTNTFLuI2EZUbBzXV47F3mRw3pSDsj0n2zokEZtwsLdjbMtSfNimNA52Jk5du7/I3d9HQ20dmoiIiDxlpXJ58W33iqwYXIv6xbMBcOzqbd5ceZLWU7bxZ/AVDMOwcZQiIqmX+a4ofoZ4eXlRuXJlJkyYgL+/Pw4ODkyYMAEvLy+uXr361Ppp3rw5/v7+bNu2jZ9//jnR4yVKlGDZsmXUrl0bd3d3ihUrhoeHR4I2JpOJSZMm0aVLF9q1a0ePHj1wdnZm27ZtVK5cmRdeeCHZxyMiT94X647x4+0BvOkwj/LNXyKPh5etQxKxqW5V81HAz51X5u7h5r0Yes/6h3eal6BnjfwJp7ASERGRDK90bi9+6FWZ3WfC+XRtCFtPhHHoUgR9Zu3iuQBvhgcWo0ZhP1uHKSKSYrqiOJ2bN28ehQsXpmfPngwZMoT27dvTo0ePp9qPg4MDLVq0wMfHhzZt2iR6/JtvvsFsNtO0aVMqV67M7t27rfbTqVMnli1bxoULF+jcuTNdunRh8+bN5MmTJ8XHIyJPzv5zN/j2rxPcwZVjVcZRqnpTW4ckki7UKOTHsoE1KeR/f5G7sb8d5q2lWuROREQks6qYz4c5fSrzTbuiVAjwBmDP2Rt0nb6DrtO2s/tMuG0DFBFJIV1RnM4VLlyY9evXJ9o+duxYAOrWrWv11palS5emqJ8H+zIMg9jY/y3gZzabWbt2Ld26dcPZ2TlRH7Vq1bJaHLYWV4sWLWjRokWi7SKSPkTevc24+X9hNhzIn9WNN5oUs3VIIulKfj93lgysyeB5e/nraCjzdpzlZOhtpnariI+706M7EBERkQynYl4PGlcowKbj15m0NoRDFyPYeiKMrVO3Uq+YP68HFqN0bt2hJyLpn64oliRFR0fzzz//MHr0aM6dO8egQYNsHZKIPGH/zhrKd7cG0sx+B590KIebk75PFPkvTxdHZvSsRJ+aBQDYfvI6rads4fjVWzaOTERERGzFZDJRr3g2VgyuxdRuz1Ek2/2FbzeEhPLCV5sZ8NNuTobetnGUIiIPp0KxJOnixYtUqVKFmTNn8vXXX1OsmK4sFMnIDm1aSpWrv5LVdIsX84ZROb+vrUMSSbcc7O14t0VJJrQtg4OdiTNhd2nzzVY2hiR/DQERERHJeEwmE03L5GT1a8/zWady5MvqBsCqA5dp9NnfvLXkAFcjHr4YvIiIrahQLEnKnz8/hmFw9epVgoKCbB2OiDxBEdevkm39UABO2BXguZ6f2DgikWdD5yoBzO1XFR83R25FxdJn1j/M2HxKK56LiIhkcvZ2JtpUyMO6YXUY36YM2TyciTMb/LTjLHU+2cikNSFERMbYOkwRkQRUKBYRyewMgxMzX8af60QZjpjafY+Lq5utoxJ5ZlQrmJXlg2pRNHsWzAaMW3GY0YsPEB2rRe5EREQyO0d7O7pWDeCvEfUY0bgYHs4O3IuJ4+sNx6nz8QambzpJVGycrcMUEQEyaKHY3t6euDi90WYkcXFx2Nvb2zoMkQxpz8rvqXBrAwC7iwymYKkqNo5I5NmT19eNRa/UoH7xbAD88s85Xpyxg+t3om0cmYiIiKQHrk72DKxXmL/fqEe/WgVwsrcj/G4MH6w8Qv1Jf7F4z3nizLojSURsK0MWil1cXIiOjiYsLMzWoUgaCAsLIzo6GhcXF1uHIpLhXD13nMK7xgJwwKk8Vbu8bduARJ5hHi6OTOtRiZefLwjAzlPXafXNZkIua5E7ERERuc/H3Ym3XyjJn8Pr0O65PJhMcOHGPYb9up/mX25iQ8hVTWElIjaTIZez9/PzIyoqiqtXr3Ljxo0kr0Q1m83Y2WXIWvljSy+5iYuLIzo6Gg8PD/z8/GwdjkiGYjYb/PvLGBpylwjDDb8Xp+vKfZHHZG9n4s1mJSiSLQtvLjnAuev3aDtlC192qUCDEtltHZ6IiIikE3l83Pi0Yzleer4An6wOYX3wVYIv36L3zH+oWsCXUU2LUyHAx9ZhikgmY/tK4BNgMpnInTs3fn5+ODk5WW1jGAZRUVH6ps6K9JQbJycn/Pz8yJ07NyaTydbhiGQoP247zYCwDkyNbUFwxTHkDChi65BEMowOlfLy80vVyOruxJ3oOPrN3sX3f59IF2OriIiIpB/Fc3gyo1dl5r9cjQoB3gDsOHWdNlO2MvjnvZy7fte2AYpIppIhryiG+8Vif3//JB+Pi4sjNDQUf39/XUH3H8qNSMZ37MotJvweTDSOHCgxlKAWz9k6JJEMp1J+X5YOrMlLs3cRfPkW41cFc/TKbT5sUxpnB42vIiIi8j9VC2Zl8Ss1WHv4ChNXB3My9A6/7b/ImkOX6V0zPwPrFcbTxdHWYYpIBpchrygWEZGkRUfeY8K81UTFmsnm4cyHrcvoin2RJySvrxsLX6lBw/+fdmLh7vN0m7aDa7ejbByZiIiIpDcmk4nGpXKw5rXneb9VKXzdnYiONfPdXyep+8lG5mw7TWyc2dZhikgGpkKxiEgms2/WML68MZBO9hv4pEM5fNytT9EjImkji7MD33evyCt1CwGw60w4rb7ewpFLETaOTERERNIjR3s7elTPz8YRdelfpyBO9nZcvxPNO8sO0fjzv1l/5IqmsxKRJ0KFYhGRTOTQ34uocnke7qYoWue6SZ2iSU/RIyJpx87OxMgmxZncsRxO9nZcuHGPdlO3svbQZVuHJiIiIumUp4sjo5uWYP3rdWhRLhcAJ0Lv0PfHXXSbvoNDF2/aOEIRyWhUKBYRySSuXzlHjj+HAnDcviAV+nxh44hEMp+2z+Xh55er4ZfFibvRcfSfu5spG4/rqiARERFJUl5fN77qUoHFA2rw3P8veLf1RBgvfLWZ4Qv2c/lmpG0DFJEMQ4ViEZFMwDDHcWFmL7Jyk7uGMw4dfsDF1c3WYYlkShXz+bBsUC1K5PTEMODj1SG8/ut+ImPibB2aiIiIpGPPBfiw6JUafNP1OfL6umIY99c/qDdpI1+sO6bPEiLy2FQoFhHJBP755UPKRO4CYH+Z0eQvXsHGEYlkbrm9XVkYVJ3Gpe4vcrd47wW6TNvO1Vu6IkhERESSZjKZaF42J+uG1eGtZiXwcHHgXkwcn607SoNP/2Llv5d0p5KIpJoKxSIiGdzJf7dQPuRzAHa516Fa21dtG5CIAODu7MDUbhUZXL8wAHvP3qD111s036CIiIg8krODPS89X5C/R9SjR/V82Jngwo17DJy3hy7TtmvRXBFJFRWKRUQysLvRsRz+7XOcTHFcwo8ifWdgstNbv0h6YWdn4vXAYnzRuTxODnZcvBlJ+6nbWH3wkq1DExERkWeAj7sT77cqzapXa1O9YFYAtp+8TvMvN/H20gNcvxNt4whF5FmSqmpBcHAwjRo1wt3dnRw5cvDGG28QHf3oN5+bN2/y8ssv4+fnh5ubG3Xr1mXfvn2pCUFERJJh3IrDDLnVg49jOxPWZApevv62DkmeII3Pz65W5XPza//q+Hs4cy8mjqC5e/j6z2O6dVRERESSpXgOT+a9VJWp3Z4jt7crZgPmbj9LvUkbmbXlFLFxZluHKCLPgBQXisPDw6lfvz7R0dEsXryY8ePH8/333zNs2LBH7tulSxeWLl3Kxx9/zIIFC3BwcKB+/fqcO3cuVcGLiEjSVh24xM87z2HGDofnh1G6WmNbhyRPkMbnZ1/5vN4sH1ST0rk9AZi09iiv/rJPC9OIiIhIsphMJpqWycn61+vweqOiuDrac/NeDGN/O0yzLzex5fg1W4coIumcQ0p3+Pbbb4mIiGDJkiX4+voCEBsby4ABA3jzzTfJlSuX1f22b9/O77//zvLly2nRogUA9erVo0CBAkyaNIkvvvjiMQ5DREQedPlMCLMXrQfyUTGfD0MaFLF1SPKEaXzOGHJ6ubKgfw2GL9jPygOXWL7/ImfC7vB9j0r4uTvaOjwRERF5Brg42jO4QRHaVczDhN+DWb7/Ikev3Kbb9B00LpWdt5uXJK+vm63DFJF0KMVXFP/+++80bNjQchIK0LFjR8xmM2vXrk1yv71792IymWjUqJFlm5ubG7Vr1+a3335LaRgiIpKEmOhIIuZ2Z7bxNv1c1vNF5/I42Gte4oxO43PG4epkz1ddKvDq/3/Bs//8TVp9vYUDF7TInYiIiCRfLm9XvuxSgQVB1SmV6/4dS2sOXaHB5L/4fN1R3bUkIomkuHIQHBxM8eLFE2zz9vYmZ86cBAcHJ7lfZGQkdnZ2ODgkvIjZ2dmZ06dPc+/evZSGIiIiVuz94VWKxoTgZIqjSdXy5PHR1QKZgcbnjMXOzsTQRkX5umsFnB3suBwRSedpO1h/NNzWoYmIpFupnavfMAwmTJhAQEAArq6uVK9ene3btydqd/HiRdq1a4eHhwe+vr7069ePiIiIRO1+++03ypUrh4uLC0WLFmXmzJmJ2kRHRzNixAhy5MiBu7s7jRo1IiQkxGp8P/74IxUqVMDFxQU/Pz+aNm2q8VlSpHJ+X5YPqsVHbcvg6+5EdKyZz9cdI/Czv9kQfNXW4YlIOpLiqSfCw8Px9vZOtN3Hx4fr168nuV+RIkWIi4tjz549VKlSBQCz2cw///yDYRjcuHEDV1dXq/tGREQkGIAvXbq/EnhcXBxxcan7BiwuLg6z2Zzq/TMy5cY65cU65cU6W+Xl4PqfqXL5FwC2+nWgamC3dPW3Sau8pKdjSi8yyvgcv7/eV+5rWio7uV+qStDcPVy5FcVbq05y+R682qAIJpPJ1uGlC3q9WKe8WKe8WJcRxuf4ufqLFCnC4sWLuXDhAsOGDePu3bt8/fXXD9134sSJjBkzhgkTJlC2bFm++eYbAgMD2bdvHwULFgQgJiaGxo3vr/cwb9487t69y/Dhw+natSsrVqyw9LV582batGlDv379+Pzzz/nzzz/p27cvHh4etG/f3tJuyJAh/PLLL0yePJncuXPz4Ycf0qBBAw4dOoSXl5el3YcffsjEiRN58803qV69OteuXWP9+vV6DUuK2duZ6FIlgGalc/LpHyHM3X6Gs9fv0nvWPwSWzM67LUrqAhMRSXmhOLUCAwMpVKgQQUFBzJ49m2zZsjFhwgROnjwJ8NCTncmTJ/Pee+8l2h4WFoazs3Oq4jGbzdy8ef8WTjs73ZL9IOXGOuXFOuXFOlvk5frFUxTY+gYAwXaFyd3ibUJDQ5/KcydXWuUlLCwsrULK9NLb+Ax6X/mvnM4wvVNR3vjtBEeu3OWrDSc5fD6cdwLz4+Ko/Oj1Yp3yYp3yYl1GGJ9TO1d/ZGQkH330Ea+//jpDhw4FoHbt2hQtWpRJkyYxZcoUABYuXMihQ4c4cuQIxYoVA+5/Gdu4cWN27txp+bJ13LhxVK1alW+//Ra4P+//iRMnePfddy2F4vPnzzN9+nSmTJlCnz59AKhcuTIBAQF89913vPHG/c9zISEhjB07luXLl9O0aVNLzO3atUvT3Enm4uXmyPutStOxUl7eWnqQ/edusPbwFf4+Fsrg+kXoV7sAzg72tg5TRGwkxYViHx8fy4eIB4WHhyeYF/G/nJycmD9/Pl26dKFMmTIAlClThtdee40vv/ySrFmzJrnvsGHD6Nevn+X3S5cuUaVKFbJmzYq/v39KDwH437fdfn5+2NvrTfBByo11yot1yot1TzsvMdGRREwfgid3uGm449Z1Nrnz5H3iz5tSaZWXqKiotAopw8go4zPofcUaf3+Y/7I/w+bvYd3RG6w/Fs6VO3F89+Jz5PBysXV4NqXXi3XKi3XKi3UZYXxOaq7+oKAg1q5dS69evazut3XrViIiIujYsaNlm5OTE23btmXx4sUJ+i9btqylSAzQqFEjfH19WbVqFVWqVCEqKooNGzbw8ccfJ3iOzp078/PPP3P69Gny58/P2rVrMZvNdOjQwdLG19eXwMBAVq1aZSkUz5w5kwIFCiQoEoukldK5vVjySg3m7zrHxNXB3LgbwydrQli0+zzvtypNrSJ+tg5RRGwgxYXi4sWLJ5rr8ObNm1y6dCnR3Ij/VbFiRUJCQjh+/DiGYVCkSBEGDRpExYoVcXRMeiVvT09PPD09E223t7d/rA8ydnZ2j91HRqXcWKe8WKe8WPc087J71jCqxB4F4Hj1iVQsXOqJP2dqpUVe9FpLLCONz6D3FWvcXZwY17QgpfNG8Pn64xy8GEGbqduY1qMS5fJ62zo8m9LrxTrlxTrlxbpnfXwODg62XJ0bLzlz9cc/9t+xskSJEpw9e5Z79+7h6upqdS0Ak8mUYPw9ceIEMTExVvuKf678+fMTHBxMtmzZ8PHxSdRuxowZlt+3b99OmTJl+OCDD/jyyy+5ceMGlStXZvLkyVStWjXJY9LUUE/Xs56XjhVz06iEP5+sOcr8Xec5ee0OL87YQbPSOXizWXFypvIL6Wc9L0+K8mKd8pK0tMhNSvZNcaG4adOmjB8/nhs3bljmQlywYAF2dnYEBgY+cn+TyUSRIvdX8Q4NDWX+/PmJvnEVEZHkW3fwIpEXT4M9bPPvSPUm3W0dktiAxufMwWQyMbh+YYrl8GTYr/u5eiuKjt9t45MO5WhZzvpt1SIimUFq5+oPDw/H2dkZF5eExTAfHx8MwyA8PBxXV9dk9R8efn/B0f+2iy8IP9guObFevnyZ3bt3c+DAAaZMmYKbmxvjx48nMDCQY8eOkS1bNqvHpKmhnq6MkpehtbLTqFAWPtlwlpCrd1l18DIbQq7St2pOOlfIjoN9ytZGyCh5SWvKi3XKS9LSIjcpmRoqxYXioKAgvvrqK1q3bs2bb77JhQsXGDFiBEFBQQnmfWrQoAFnzpzh+PHjlm0ffvghhQsXJnv27ISEhDB+/HgqVqyY5G1AIiLycOfD7/L6ooPcjBnMYa/nebXfMFuHJDai8TlzaVomJ3l93Xhp9i4u3YxkyM97OXblFkMbFsXOTovciYhkBGazmdu3b7Nw4ULKli0LQLVq1cifPz9ff/0177//vtX9NDXU05WR8lLP35/nS+fj553nmPTHUW5FxvL15gusOx7Bh61LUT4FdzBlpLykJeXFOuUlaWmRm5RMDZWqOYrXr1/P4MGDad26NR4eHvTr148PP/wwQbu4uDhiY2MTbAsPD2f48OFcvXqVnDlz0r17d95++219WyAikgrRsWYGzdvLzXsxeDg70rn3UJydXW0dltiIxufMp3RuL5YNqsnLs3ez79wNvvrzOMeu3GZyp3K4OT219YpFRNKF1M7V7+PjQ1RUFJGRkQmuKg4PD8dkMlmuBn5Y/3nz5rW0ARK1i7/SOD6O5Mbq4+ND1qxZLUXi+D4qVKjAoUOHkjwmTQ319GWkvNjbQ8+aBWheLhcfrQpm0Z7zBF++RfvvttO9Wj6GNy6Gp0vSU5M9KCPlJS0pL9YpL0l73NykZL9UnUWUKFGCdevWPbTNxo0bE22bNGkSkyZNSs1TiojIf2z7YQTuF/yBMnzcviwBWd1sHZLYmMbnzCebhwu/vFyNUYv+Zem+i6w+dJmzU+8yvWclcnnriyMRyTxSO1d//GMhISGUK1fOsj04OJiAgABcXV0t7Q4cOJBgX8MwCAkJoVGjRgAUKlQIR0dHgoODady4cYK+Hnyu4sWLc+XKFcLDwxPMU/zfeZBLlSrFiRMnrMYdGRmZ5DGJpAW/LM582rEc7Svm4a0lBzh57Q6zt51hzaHLjG1Riialc2Ay6S4mkYxGlwqJiDyD9q2aTp2L05njOIFxpS/TtExOW4ckIjbi4mjPZ53K80aTYphMcPhSBC2/3sKes+G2Dk1E5Klp2rQp69at48aNG5ZtyZmrv0aNGnh6erJgwQLLtpiYGBYvXkyzZs0S9L9//36OHTtm2bZ+/XrCwsIs7ZydnalXrx4LFy5M8Bzz58+nRIkS5M+fH4DAwEDs7OxYtGiRpU14eDhr165N8JwvvPACYWFh7Nu3z7ItLCyMPXv2ULFixeQlRuQxVS+UlVWv1ubVBkVwsrfjSkQUr/y0h5dm7+LCjXu2Dk9E0pgKxSIiz5izwbspuuNNAEIci9OxQ1cbRyQitmYymRhQtzDfvVgRNyd7rt2OovP321my97ytQxMReSqCgoLw8PCgdevWrF27lpkzZyY5V3/hwoUtv7u4uDB69GgmTZrEF198wZ9//kmXLl0ICwtj+PDhlnbt27enVKlStGvXjhUrVvDrr7/Sp08fmjdvTpUqVSzt3nnnHbZt28aAAQPYuHEjY8aMYd68eQkWl8uTJw/9+vVjxIgRzJw5k7Vr19KmTRu8vLzo37+/pV3r1q2pXLky7du3Z/78+SxfvpwXXngBZ2dnBgwY8KRSKZKIi6M9QxsVZdWrtalS4P70KOuOXKXR5L+YsfkUsXFmG0coImlFhWIRkWfInYjrmH7tjpspimt4493rZ81LLCIWgaVysDCoBrm9XYmONTN0/n4mrg7GbDZsHZqIyBMVP1e/g4MDrVu3ZtSoUfTr14/JkycnaGdtrv6RI0cyZswYJk2aRLNmzTh//jxr1qyhYMGCljaOjo6sXr2aIkWK0KVLF/r370+jRo2YN29egr5q1arF4sWL2bx5M40bN2bevHlMnz6dDh06JGj3xRdf0LdvX0aNGkXr1q1xdHRk3bp1eHl5WdrY2dmxatUqqlevTv/+/encuTOenp78/fff5MiRI61SJ5JshbNl4ZeXqjGxXRm8XB25Gx3HuBWHaT1lCwcvJJ53W0SePVrpRETkGWGYzRz7vgflzReINey4FDiFMnkK2DosEUlnSubyZOnAmgTN3c3uM+FM3XiC41dv83mn8rg766OfiGRcqZ2r32QyMXr0aEaPHv3QfXPnzp1guoiktGzZkpYtWz60jbOzc7LWCPDz82POnDmPfE6Rp8XOzkSnygE0KJGdD1YcZum+ixy8EEHLrzfTu2YBXg8sqkV1RZ5huqJYROQZ8c+8sZS/vQmAHYWHUKZmcxtHJCLplb+HM/Neqkrb53ID8MfhK7SbupXz4XdtHJmIiIhkBH5ZnPm8cwVm96lCgK8bZgNmbD5F48//Zsvxa7YOT0RSSYViEZFnwOEdf1Dx2JcA7HZ/nhrdxtg4IhFJ75wd7Pm0QzlGNy2OyQTBl2/R6ust7Dp93dahiYiISAbxfFF/1g59nlfqFsLezsS56/foNn0Ho5cc5HZUnK3DE5EUUqFYRCSduxoRyUt/xDA/rh5nTHko8vKPmOz09i0ij2YymehfpxDTulfC3cmesDvRdJ22g4W7tcidiIiIpA0XR3tGNinOsoE1KZHTE4Bfd52ny+xDrD9y1cbRiUhKqNIgIpKOxcSZGfDTHi7cNhhn6k9UrzV4evnaOiwRecY0LJmdxQNqksfHleg4M8MX7OejVUeI0yJ3IiIikkZK5/Zi+aCaDA8sipO9idA7Mbw8dw+v/rKX63eibR2eiCSDCsUiIunY58u2sOtMOAAT2pWhaL48No5IRJ5VxXJ4sGxgTarkv/9l03d/n+Tl2bu4HRVr48hEREQko3C0t2NQ/SIsH1ST0jncAVi27yINJ//F8v0XMQx9SS2SnqlQLCKSTu1Z/g1B+zvQ2O4fetXIT6vyuW0dkog847JmcWZuv6p0qpQXgPXBV2k3ZSvnrmuROxEREUk7RbJl4buOxXi7WXFcHO24fieaIT/v5aXZu7kSEWnr8EQkCSoUi4ikQyf2/kWp3WPwMN1jsPt63mxa3NYhiUgG4eRgx4R2ZXi7eQnsTBBy5RatvtnCjpNhtg5NREREMhB7OxO9a+ZnzWvPU71gVgDWHblCw8l/8es/53R1sUg6pEKxiEg6E3b5LJ7LeuFsiuEyfmTvOw8nR3tbhyUiGYjJZKJf7YLM6FUZD2cHrt+J5sUZO5j/z1lbhyYiIiIZTL6s7sx7qSoftS2Dh7MDtyJjeWPRv/SZ9Y+uLhZJZ1QoFhFJR2Ki7nFtRkf8uc49w4mbrWbhnyOvrcMSkQyqXrFsLB5QgwBfN2LiDEYuOsC4FYe1yJ2IiIikKZPJRJcqAawd9jz1ivkDsCEklMDP/mbZvgu6ulgknVChWEQkvTAM9n/Xj2IxRwD4t+IHFKtQ28ZBiUhGVyT7/UXuqhW8v8jdjM2n6DPrHyIiY2wcmYiIiGQ0Ob1c+aFXZSa2K0MWZwdu3ovh1V/2MeCnPYTdjrJ1eCKZngrFIiLpxK4FH1Pp+goAtmR/kaot+9s4IhHJLHzcnZjdpypdqgQA8NfRUNpO2cqZsDs2jkxEREQyGpPJRKfKAax+rTY1Ct2fu/j3g5cJ/OxvVh+8bOPoRDI3FYpFRNKBXafCuHNwJQD7nStRtd/ntg1IRDIdJwc7xrcpzZgWJbEzwfGrt2n1zRa2ndAidyIiIpL28vi4MbdvVd5rWQoXRzvC7kQTNHc3Q+fv4+Zd3dkkYgsqFIuI2Nilm/cI+mkvfaKH871jV/K9/DMOjo62DktEMiGTyUTvmgWY1bsKHi4O3LgbQ/cZO5i3Q4vciYiISNqzszPRs0Z+fn/1eSrm8wFgyd4LBH7+FxtCrto4OpHMR4ViEREbioyJo/+c3Vy7HYWzkxPP952Id9Zstg5LRDK554v6s2RATfJndSPWbPDmkgOMXX6I2DizrUMTERGRDKiAnzu/9q/O6KbFcbK340pEFL1n/sOoRf9yOyrW1uGJZBoqFIuI2IhhNrN9an/iLuwDYHLHchTP4WnboERE/l/hbFlYOrCmZe7AWVtP03vWP9y8p1tBRUREJO3Z25noX6cQK4bUokxuLwB++ecczb7YxO4z120cnUjmoEKxiIiN7Jo9mrrXF7DQ6T3eq2aiSemctg5JRCQBbzcnfuxThe7V8gGw6dg12kzZwqlrWuROREREnoyi2T1YPKAGQxsWxd7OxNnrd+nw7TYm/3GUGN3dJPJEqVAsImID+1f/QOXT3wJwMEsNurdoYuOIRESsc7S3Y1zr0oxrVQp7OxMnQ+/Q+pstbDl+zdahiYiISAblaG/Hqw2LsOiVGhTwc8dswJfrj9Hh2236wlrkCVKhWETkKTux9y+KbXsDgBD7opQaMBc7e70di0j61r16fmb3qYKXqyM378XQ44edzNl22tZhiYiISAZWPq83K4fUokuVAAD2nbtB8y838cvOsxiGYePoRDIeVSZERJ6i0PPH8V7WAxdTDFfIinefBbi5e9g6LBGRZKlZ2I+lA2tS0N+dOLPBO8sO8c7Sg7oNVERERJ4YNycHPmpbhmk9KuHr7sTd6DhGLT7Ay3N2E3Y7ytbhiWQoKhSLiDwl927f5NbM9mTlBncMZ260nkP23PltHZaISIoU8HNnyYCa1C7iB8Cc7WfoNXMnN+5G2zgyERERycgalczO6tdqU6+YPwB/HL5Cky82sTHkqo0jE8k4VCgWEXkKzGaDrdOHUTDuFGbDxJHqkylWvqatwxIRSRUvV0dm9qpMrxr5AdhyPIzW32zh+NXbtg1MREREMrRsHi780Ksy41qVwtnBjtBbUfSa+Q9jlh0kMibO1uGJPPNUKBYReQo+X3eUVy83YUNcObYWHEylJi/aOiQRkcfiYG/H2JalGN+mDA52Jk6H3aXNlC38fTTU1qGJiIhIBmYymehePT8rh9SidG5PAH7cdoaWX2/m6JVbNo5O5NmmQrGIyBO2dO8FvvzzOLdxY3nJydTs/p6tQxIRSTNdqwYwu28VvN0cuRUZS6+ZO5m55ZQWmBEREZEnqnA2Dxa/UpNX6hbCZIKjV27T4qvN/LTjjD6HiKSSCsUiIk9Q8K4/mbzwTwCeC/Dmo/YVMNnprVdEMpYahfxYOqAmhbNlwWzAe78d5s0lWuROREREniwnBztGNinOT32rks3DmahYM28tOcjAeXu4eTfG1uGJPHNUrRAReUKunQ0mz++9WOjwNg08L/Bd90q4ONrbOiwRkSciv587iwfUoO7/LzDz886zdJ+xg/A7WuROREREnqwahf34/dX/LXS36sBlmn25id1nrts4MpFniwrFIiJPwI3QC/j+/hJe3MaZGN5qUwl/D2dbhyUi8kR5ujgyo2dl+tYqAMD2k9dp9c0Wjmm+QBEREXnCsmZx5odelXm7eQkc7U1cuHGPjt9t55sNx4kzayoKkeRQoVhEJI1F3ong+vR25DKuEm04cLrRNAqWeM7WYYmIPBX2dibeeaEkE9uVwdHexNnrd2k7ZSsbQq7aOjQRERHJ4EwmE/1qF2TxKzXJn9WNOLPBJ2tC6D5jB1ciIm0dnki6p0KxiEgaMsfGcnRKJ4rEHgVgd4UPKFeruY2jEhF5+jpVDmBu36r4ujtxKyqWvrP+Yfqmk1pcRkRERJ64Mnm8WDGkNm0r5AZg64kwmn6xiQ3B+uJa5GFUKBYRSSuGwZ7v+1P2zlYA1ud4iSotXrZxUCIitlO1YFaWDaxJ0ez3F7n7YOURRi06QHSsFrkTERGRJyuLswOTO5Xn0w7lcHOy5/qdaHrP+ocPVx7WgrsiSVChWEQkjWz/9RMqXV0IwDbvFpRsOczGEYmI2F5eXzcWvVKDBsWzATB/1zlenL6DsNtRNo5MREREMoN2FfOwYnAtSuXyBGDaplN0/n47l27es3FkIumPCsUiImlg3eErDNuXgyPmAPa6VKF8/2mY7PQWKyIC4OHiyPc9KtH/+YIA7Dx9f5G7kMta5E5ERESevIL+WVg8oAY9qucDYPeZcJp/uZm/j4baODKR9EVVDBGRx7T/3A0G/7yXi0ZW3vT+hEKvzMfJycnWYYmIpCv2diZGNyvBJ+3L4mRvx/nwe7SdsoX1R67YOjQRERHJBJwd7Hm/VWm+6lIB9/+fiqLnzJ1MXhtCnFlrKIiACsUiIo/l4qlghszayL2YOLJ7OvNNnzp4evnaOiwRkXSrQ6W8zHupKlndnbgTHUe/2bv47q8TWuROREREnooW5XKxfHAtiufwwDDgyz+P033GDkJvaVosERWKRURSKfzKOZjdku9i3qaQUzg/9KpMLm9XW4clIpLuVcrvy7JBNS0naB/9HszwBf8SFRtn69BEREQkEyjkn4UlA2rSoWIeALaeCKP5l5vYcTLMxpGJ2JYKxSIiqXDn5nXCv29JLuMKBU2X+LShF6Vyedk6LBGRZ0Yen/uL3DUqmR2ARXvO03XaDq5pkTsRSaXg4GAaNWqEu7s7OXLk4I033iA6OvqR+xmGwYQJEwgICMDV1ZXq1auzffv2RO0uXrxIu3bt8PDwwNfXl379+hEREZGo3W+//Ua5cuVwcXGhaNGizJw5M1Gb6OhoRowYQY4cOXB3d6dRo0aEhIQkGePt27fJkycPJpOJXbt2PfKYROTRXJ3s+aRDOT5uXxYXRzuu3oqiy7TtTNl4HLOmopBMSoViEZEUiom6y5kprSkYdxKzYWJv5Y8p/3wLW4clIvLMcXd24LsXK/JK3ULA/YVlWn29hSOXEhdeREQeJjw8nPr16xMdHc3ixYsZP34833//PcOGDXvkvhMnTmTMmDEMHTqUFStWkDNnTgIDAzl58qSlTUxMDI0bN+bo0aPMmzePqVOnsmbNGrp27Zqgr82bN9OmTRuqV6/O77//TqdOnejbty8LFy5M0G7IkCFMmzaN8ePHs3jxYqKiomjQoAE3b960GuO4ceOIjY1NRWZE5FE6VsrL0oE1KejvjtmAj1eH0G/2Lm7cffQXTSIZjYOtAxAReZaYY2M59HVnykftB2BrsVHUeqGvjaMSEXl22dmZGNmkOEWzZ2HkogNcuHGPdlO38nmn8gSWymHr8ETkGfHtt98SERHBkiVL8PW9v15EbGwsAwYM4M033yRXrlxW94uMjOSjjz7i9ddfZ+jQoQDUrl2bokWLMmnSJKZMmQLAwoULOXToEEeOHKFYsWIA+Pj40LhxY3bu3EmVKlWA+wXdqlWr8u233wJQr149Tpw4wbvvvkv79u0BOH/+PNOnT2fKlCn06dMHgMqVKxMQEMB3333HG2+8kSDG4OBgvvnmGz799FOCgoLSMm0i8v+K5/Bk+aBajF58gN/2X+TP4Ku0+Hoz375YUXeOSqaiK4pFRJLJMJvZ/d1LlL/1FwCbc/WhVtdRNo5KRCRjaFMhD7+8XA2/LM7cjY6j/9zdfLPhuBa5E5Fk+f3332nYsKGlSAzQsWNHzGYza9euTXK/rVu3EhERQceOHS3bnJycaNu2LatWrUrQf9myZS1FYoBGjRrh6+traRcVFcWGDRvo0KFDgufo3LkzR44c4fTp0wCsXbsWs9mcoJ2vry+BgYEJnjPe4MGDCQoKSvDcIpL2sjg78GXn8oxrVQpHexPnrt//8nrJ3vO2Dk3kqdEVxSIiybRj7hiqhS4GYJv3C9To+6mNIxIRyVieC/Bh2aCavPTjLg5fiuCTNSEcv3qbj9qWwcXR3tbhiUg6FhwcbLk6N563tzc5c+YkODj4ofsBFC9ePMH2EiVKcPbsWe7du4erqyvBwcGJ2phMJooXL27p48SJE8TExFjtK/658ufPT3BwMNmyZcPHxydRuxkzZiTYtnDhQg4cOMCiRYvYs2fPo9IAQERERIK5ky9dugRAXFwccXGpXzQ0Li4Os9n8WH1kRMqLdc9yXrpWyUvxHFkYNG8fV25FMXT+fvaeDefNpsVxtH+86y2f5bw8ScpL0tIiNynZV4ViEZFkWLj7PDOO5ORHJ2/OuZWi0sCZ2D3mhwQREUkst7crC1+pzrD5+1l96DJL9l7gdNgdvutekWweLrYOT0TSqfDwcLy9vRNt9/Hx4fr16w/dz9nZGReXhO8vPj4+GIZBeHg4rq6uyeo/PDwcIFG7+ILwg+2SE+vdu3cZNmwY48ePx9PTM8lj+K/Jkyfz3nvvJdoeFhaGs7Nzsvv5L7PZbJlD2c5On4PjKS/WPet5yesKP3QuxlurTrLvwm1mbzvL/jPXGd+8IFndHVPd77OelydFeUlaWuQmLCws2W1VKBYReYQ/g68wctG/xBn5GJ31c77q2xBHRydbhyUikmG5OTkwpdtzfL7uKF/+eZy9Z2/Q+ustfN+jEqVza55AEckcPvjgA7Jnz07v3r1TtN+wYcPo16+f5fdLly5RpUoVsmbNir+/f6rjib8izc/PD3t73eURT3mxLiPkxd8ffumfgwmrQ5i19Qz7L96m9y8hfN2lPBXz+Ty6AysyQl6eBOUlaWmRm6ioqGS3TVWhODg4mMGDB7N161Y8PDzo0aMHH3zwAU5ODy+chIWF8dZbb7Fq1SrCwsIoUKAAgwYN0oT8IpJuHd63jVcXXSPObEdBf3c+6dsIN3cViSV90vgsGYmdnYlhgcUonN2DEQv2c/FmJB2+3cZnncrRpHROW4cnIumMj4+P5YqrB4WHhyeYt9jaflFRUURGRia4qjg8PByTyWS5Gvhh/efNm9fSBkjULv5K4/g4khPrmTNn+PTTT1myZIml7e3bty3/vX37NlmyZLF6TJ6enlavQLa3t3/sAoydnV2a9JPRKC/WZYS82NvbM7Zlacrn9WHU4n+5eiuKbjN28u4LJXmxWj5MJlOK+8wIeXkSlJekPW5uUrJfiq9ZDg8Pp379+kRHR7N48WLGjx/P999/z7Bhwx65b4cOHVi+fDnvv/8+v/32G02aNOGVV15h2rRpKQ1DROSJO/XvJgKWtuEbJlLAw8zsPlXwVZFY0imNz5JRtSyXi/n9q5PNw5l7MXEEzd3DV+uPaZE7EUngwbmC4928eZNLly4lmjP4v/sBhISEJNgeHBxMQEAArq6uSfZvGAYhISGWPgoVKoSjo2Oidv+dB7l48eJcuXLFUkB+sF18m1OnThEdHU3z5s3x8fHBx8eHFi1aAFCvXj0aNmz4iIyISFpqXSE3i1+pSV5fV2LiDN5ZdogRC/8lMkZz6krGkuJC8bfffktERARLliyhcePG9OnTh48//phvv/2WixcvJrnf5cuX2bBhA+PHj6dXr17Ur1+fSZMm8fzzz/PLL7881kGIiKS1C0f34rO4C1m4R2n7M8xoF0AeHzdbhyWSJI3PkpGVz+vN8kG1KPP/0058+sdRhvyyTydnImLRtGlT1q1bx40bNyzbFixYgJ2dHYGBgUnuV6NGDTw9PVmwYIFlW0xMDIsXL6ZZs2YJ+t+/fz/Hjh2zbFu/fj1hYWGWds7OztSrV4+FCxcmeI758+dTokQJ8ufPD0BgYCB2dnYsWrTI0iY8PJy1a9da+ipfvjwbNmxI8PPZZ58B98f8KVOmpDBDIvK4Suby5LdBtahT9P4ULgt3n6f9t1u5cOOejSMTSTspLhT//vvvNGzYMMHtOx07dsRsNrN27dok94uJiQHAyyvhvHJeXl66IkRE0pUrZ4JxntcGb24RYbhxtdXPFCxeztZhiTyUxmfJ6HJ4ufBr/+o0L3N/2onf9l+k03fbuBIRaePIRCQ9CAoKwsPDg9atW7N27VpmzpzJiBEjCAoKIleuXJZ2DRo0oHDhwpbfXVxcGD16NJMmTeKLL77gzz//pEuXLoSFhTF8+HBLu/bt21OqVCnatWvHihUr+PXXX+nTpw/NmzenSpUqlnbvvPMO27ZtY8CAAWzcuJExY8Ywb968BIvL5cmTh379+jFixAhmzpzJ2rVradOmDV5eXvTv3x+4vyBe3bp1E/yUL18egIoVK/Lcc889qVSKyEN4uznxQ6/KDKl//33k4IUIWn29mV2nk140U+RZkuJC8YO3w8Tz9vYmZ86ciW6xeVDevHkJDAxk/PjxHD58mFu3bvHrr7+ydu1aBg4cmPLIRUSegOuXzxA3qxV+hHPXcOZMk1kUr1DL1mGJPJLGZ8kMXJ3s+bprBV5rWASA/edv0mbKNo5cuWPjyETE1nx8fFi/fj0ODg60bt2aUaNG0a9fPyZPnpygXVxcHLGxsQm2jRw5kjFjxjBp0iSaNWvG+fPnWbNmDQULFrS0cXR0ZPXq1RQpUoQuXbrQv39/GjVqxLx58xL0VatWLRYvXszmzZtp3Lgx8+bNY/r06XTo0CFBuy+++IK+ffsyatQoWrdujaOjI+vWrUv0xa2IpD/2/7+OwnfdK+LmZM+129F0mbadX/85Z+vQRB5bihezCw8Px9vbO9F2Hx8frl9/+DcoixcvplOnTpQqVQq4P5nyV199Rbt27R66X0REBBEREZbfL126BNwf5ONX/0upuLg4zGZzqvfPyJQb65QX6zJSXm6FXebW983JZ1wmynDg8PNTqFClYaqOLSPlJS2lVV6U18Qyyvgcv7/+/SSmvPzP4HqFKOTnzohF/3LlVhRBC0KYGOdIi3K5bR1auqHXi3XKi3UZZXwuUaIE69ate2ibjRs3JtpmMpkYPXo0o0ePfui+uXPnTjBdRFJatmxJy5YtH9rG2dmZSZMmMWnSpEf2F69u3bq620ckHWlcKgeLB9Tgpdm7OHf9Hm8s+pfDlyJ4u3kJHOxTfF2mSLqQ4kJxahmGQe/evTl27Bjz5s0jZ86c/PHHH7z22mv4+PjQuXPnJPedPHlyglt14oWFheHs7JyqeMxms2X1WDs7/QN+kHJjnfJiXUbJy73oWO792J6S5nPEGSa2lh5HiVK1CA0NTVV/GSUvaS2t8hIWFpZWIWV66W18Bv37SYryklDlHPZ8274ow5ef4NqdGF779QAHzlyjb7Wc2KViBfKMRq8X65QX6zQ+i4ikTvEcniwbWIuBP+1h28kwZm09zfGrt/m6awW83bQQujx7Ulwo9vHxsXyIeFB4eHiCeRH/a+XKlSxYsIB///2XMmXKAPe/Eb169Sqvv/76Q09Ehw0bRr9+/Sy/X7p0iSpVqpA1a1b8/f1TegjA/77t9vPzw97ePlV9ZFTKjXXKi3UZIS9RsWaGz9mN3b2WTHU8yb4yb/F8m/6P1WdGyMuTkFZ5iYqKSquQMoyMMj6D/v0kRXlJzN/fnyW5/Xl5zm6OXLnLjB2XuHTH4ON2ZXB1ytw50uvFOuXFOo3PIiKp5+vuxOy+VRi34jCzt51h8/FrtPpmC9N7VKJIdg9bhyeSIikuFBcvXjzRXIc3b97k0qVLieZGfNDhw4ext7endOnSCbZXqFCB6dOnc/fuXdzc3Kzu6+npiaenZ6Lt9vb2j/VBxs7O7rH7yKiUG+uUF+ue5bzExpkZ+ut+Nh8PA8qxsNYKejaq8sj9kuNZzsuTlBZ5UU4Ty0jjM+jfT1KUl8Ry+bgztUMxJv19iRX/XmbVwcucDb/LtB6VyOnlauvwbEqvF+uUF+s0PouIpJ6jvR3vtypN8RyevLvsIGfC7tJmyla+6FyeBiWy2zo8kWRL8X1FTZs2Zd26ddy4ccOybcGCBdjZ2REYGJjkfvny5SMuLo5///03wfbdu3eTLVu2JE9CRUSeFHNsDL/88ClrDl0GYGC9QmlWJBZ52jQ+S2bm4mDH5x3L8XqjokD8CuRb2Hfuhm0DExERkUyla9UAfupXFV93J25HxdJv9i6mbDyu+cXlmZHiQnFQUBAeHh60bt2atWvXMnPmTEaMGEFQUBC5cuWytGvQoAGFCxe2/N6sWTMCAgJo3749c+fOZf369YwcOZJZs2YxePDgtDkaEZFkMsfGsv/rrrx44QPGO8ygV7W8DA8sZuuwRFJN47NkdiaTicENivDti8/h6mjP1VtRdPpuG8v2XbB1aCIiIpKJVC2YlWUDa1I8hweGAR+vDmHYr/uJitVCqpL+pbhQ7OPjw/r163FwcKB169aMGjWKfv36MXny5ATt4uLiiI2Ntfzu4eHB+vXree655xg5ciQtW7Zk5cqVTJ48+ZGry4qIpCXDHMe+KT2ocGMtAPn8PXm3RWlMWvxInmEan0Xua1I6JwtfqU4uLxeiYs28+ss+Pl0bgtmsK3lERETk6cjr68biATVoWjoHAEv2XuDF6Tu4fifaxpGJPFyK5ygGKFGiBOvWrXtom40bNybaVrhwYebPn5+apxQRSROG2cyeKb2peH0lAFu9XqDaoB+ws9fK5/Ls0/gscl+pXF4sHVST/nN2s/fsDb768zjHrtxmcqdyuDml6uOviIiISIq4OTnwTdfnmLQ2hCkbT/DP6XDafbudj18owGOs+yzyRKkyIiKZhmE2s/u7l6h4bRkA2zyaUGXwj1p4RUQkA8rm4cLPL1WjTYXcAKw+dJn2U7dx4cY9G0cmIiIimYWdnYk3mhTnk/ZlcbQ3cfb6XV6aH8zWE2G2Dk3EKhWKRSRzMAz2TBtApSsLAdiRpQGVhszFwUFXlomIZFQujvZM7liON5oUw2SCw5fuL3K3+0y4rUMTERGRTKRDpbzM6VsVL1dHbkXF0XvWLub/c9bWYYkkokKxiGQKC5YspOKlnwH4x+15Kgz5BUdHRxtHJSIiT5rJZGJA3cJ892JF3JzsuXY7ii7fb2fxnvO2Dk1EREQykWoFs7IoqBp5vZ2JNRuMXHSAj1Yd0ToKkq6oUCwiGd7UjScYsdONt2N6849rLcq+ugAnJydbhyUiIk9RYKkcLHqlBrm9XYmOMzPs1/1M+D1YJ2ciIiLy1BTwc2d6p+JUye8DwHd/n+SVn3ZzNzr2EXuKPB0qFItIhjZ900kmrg4G4FSBzpQZugxnZxcbRyUiIrZQIqcnywbVpFK++ydn3/51gpfn7OZ2lE7ORERE5OnwcnXgx96VafdcHgDWHLpCp++2czUi0saRiahQLCIZ2K45b3Fm9RcAVC3gy/QelXHRavciIpmaXxZnfnqpquXkbN2RK7SfupXz4XdtHJmIiIhkFk4OdkzqUJYRjYsBcODCTdpM2crxq7dsHJlkdioUi0iGtPvHkVQ68TXjHGcRlD2YH3pVxtXJ3tZhiYhIOuDsYM+kDmV5s1lxTCYIvnyLVl9vYdfp67YOTURERDIJk8nEwHqF+abrczg52HHhxj3aTtnKjpNhtg5NMjEVikUkYzEMds0aTsVT3wKw36kCg156GXdnXUksIiL/YzKZePn5QkzvUQl3J3vC7kTTZdp2Fuw6Z+vQREREJBNpXjYnP/WriperIxGRsXSfsZMV/160dViSSalQLCIZh2Gwa+brVDo9DYC9zpUoPOQ3smTxsHFgIiKSXjUokZ3FA2qSx8eVmDiDEQv/ZfyqI8RpkTsRERF5Sirn902w6O6geXuZvukkhqHPI/J0qVAsIhmDYbBrxqtUOjsDgL3OVSj26jLcVSQWEZFHKJbDg2UDa1KlgC8A3/99kpdn7+JWZIyNIxMREZHMonC2LCwZWIPSuT0B+GDlEd5fcVhfXstTpUKxiDzzDLOZXdMGUen8jwDscalG8VeX4eaWxcaRiYjIsyJrFmfm9q1Kp0p5AVgffJV2U7dyNkyL3ImIiMjTkc3DhV9erk6dov4AzNxymkHz9hAZE2fjyCSzUKFYRJ5phmEw+Y+jHDp7BYBdrjUo+dpSXN3cbByZiIg8a5wc7JjQrgzvvFASOxMcvXKbVt9s1qIyIiIi8tRkcXZges9KdKyUB4DfD17mxek7CL8TbePIJDNQoVhEnlmGYfDxmhC+2nCCMbG9+MF3KKVfXYKLi6utQxMRkWeUyWSib60CzOhVGQ9nB8LvxvDijB3M/+esrUMTERGRTMLR3o6J7cryWsMiAOw6E067b7dy7rrudJInS4ViEXkmGeY4pi9cztSNJwCoXzw73Qa8g4uLi40jExGRjKBesWwsGViDfFndiIkzGLnoAO//dpjYOLOtQxMREZFMwGQy8VrDonzcriz2diZOht6h3dStBF+OsHVokoGpUCwizxxzbAz7vupCj4N9qWF3kIYlsjP1xedwdrC3dWgiIpKBFM7mwdIBNalW8P4idz9sOUXfH3cRoUXuRERE5CnpWDkvM3pWwtXRnqu3ouj47TZ2nb5u67Akg1KhWESeKbFR9zj4RVsqhK/B2RRDf//DTOmmIrGIiDwZPu5OzOlbla5VAwD462gobb7Zwulrd2wcmYiIiGQWdYtl46eXquLt5khEZCzdpu/gz+Artg5LMiAVikXkmRF17xbBn7ek7K2/Adjs245aQ37AyUFvZSIi8uQ42tvxYevSjG1xf5G7E6F3aD1lC1tPXLN1aCIiIpJJPBfgw4L+1cnp5UJUrJmXZu9m0e7ztg5LMhhVV0TkmXDvVjinPm9K6Xs7AdiUvQc1Bk7H3l5XEouIyJNnMpnoVbMAs3pXwcPFgRt3Y+gxYyc/7Thj69BEREQkkyiS3YOFr9SgoL87cWaD1xfsZ/qmk7YOSzIQFYpFJN27FX6VC18GUjzqAAB/532FWkFfYmevtzAREXm6ni/qz9KBNSng506s2eCtJQcZu/yQFrkTERGRpyK3tysLg2pQLo8XAB+sPMLE1cEYhmHjyCQjUJVFRNK1G3ej+fO7ERSOOQrApkLDeb7vBEwmk40jExGRzKqQfxaWDKhBzcJZAZi19TS9Z/3Dzbta5E5ERESePF93J+a9VI3aRfwAmLrxBKMWHdAX1/LYVCgWkXQr9FYUnb/fzhs3WvN3XBk2lxxL7e7v2DosERERvN2cmNW7Ct2r5QNg07FrtJmyhZOht20cmYiIiGQG7s4OTO9ZieZlcwIwf9c5Bvy0h8iYOBtHJs8yFYpFJF26cP02nb7bRvDlW8SYnLjc4idqdRxq67BEREQsHO3/r737jq/57P84/jonW2QSFSPUTOwZuzY3be1ROrREKV0oLS260KG6VZWqtrRK02rdVBqjrVW1FbG3IOJIENnf3x9+0ubOCRJJvhnv5+Phcd+57uv6ns/53Mn5JJ/zPddl5bUetXite00crBaOXLhKj4/Xs+6gDrkTERGR3Ofi6MAHD9RPe+M6bO85hsz/i7jEZJMjk4JKjWIRyXdO/L2RxA+bYI3ej6PVwvsP1KdfcAWzwxIREbHr4WYV+WpwMF5uTsTGJzNo3ma+2njM7LBERESkCHCwWni1e02ebl8VgPWHonlk7mZi47UllmSdGsUikq8c+HM5vkt6crdxilnO7zP7oXrcX7eM2WGJiIjcVPMqJflxZIu0U8gnLt3DSz/uJkl7BYqIiEgus1gsjO5YjQldAwHYctzGwM82cfFqosmRSUGjRrGI5Bt/h39NxeUPU5xrXMSTxPs/oV0NNYlFRKRguLukOz+MaJF2sMzXm04w6PPNXIrTH2kiIiKS+x6/pzKv96iFxQJ/n46l/6cbORcbb3ZYUoCoUSwi+cL2H98n6I8ncbYkcwY/bA/8TI1Grc0OS0REJEu83JyY92hjHm1eEYANh6Pp8fF6Dp3XIXciIiKS+x5qWoF3+tbFaoGD56/Q79ONnLwYZ3ZYUkCoUSwi5jIMtn79EvV3TMLBYnDEEoAxOIzKgfXMjkxERCRbHB2svNytJlN71sbRauFYdBw9Z67ntwNRZocmUqhFRETQsWNH3N3dKV26NOPGjSMx8dZ39BuGwRtvvEFAQABubm40a9aMTZs2ZZh35swZevfujYeHB76+voSEhBAbG5th3s8//0zdunVxdXWlWrVqzJs3L8OcxMRExo4dS+nSpXF3d6djx47s378/3ZzFixfTvXt3ypUrh7u7O/Xq1ePzzz/HMIwsZEVEiqJeDcox88EGODlYOB4dR79PN3I4Sm9ay62pUSwipjEMg9VfvkbDQx8CsNcxCK+R4ZQNqGRyZCIiInduYJMAvhrSBO9iTlyOT+axeZv5fN1RNXlEcoHNZqNdu3YkJiYSGhrK1KlTmT17NqNHj77l2jfffJPJkyczatQoli1bhr+/P506deLIkSNpc5KSkujcuTMHDhxg4cKFfPLJJ6xcuZKBAwemu9a6devo2bMnzZo1Y8WKFfTv358hQ4awZMmSdPOefvppPvvsM6ZOnUpoaCgJCQm0b9+emJiYtDkzZsygWLFivPPOO/z888906dKFoUOH8uqrr95htkSkKPhPLX8+e6QRLo5WImPi6f/pRvZFZnxzS+TfHM0OQESKpusH/fzNin1VWeLsT4xbeao+uQQPDy+zQxMREckxzSqXYOnIFgyZv4VD56/w6rK9HDx/mVe61cLZUfdsiOSUWbNmERsbyw8//ICvry8AycnJjBgxggkTJlCmjP1zL+Lj45k2bRpjxoxh1KhRALRq1Ypq1aoxffp0Zs6cCcCSJUvYs2cP+/bto3r16gD4+PjQuXNnNm/eTHBwMACvvfYaTZo0YdasWQC0bduWw4cPM2nSJPr06QPAqVOnmDNnDjNnzmTw4MEANG7cmICAAD799FPGjRsHXL8zuWTJkmmxtmvXjujoaGbMmMHEiROxWvUaIiI316Z6KeYPDmbIF39x4Uoi/T/dyPzBwdQP8DE7NMmnVFlEJM/FJ6Xw1DfbWPjnCWx48undH1Jj1M9qEouISKFUoYQ7oSOa06a6HwDfbD7Jw3P/xKaTyEVyzIoVK+jQoUNakxigX79+pKamEhYWlum6DRs2EBsbS79+/dLGnJ2d6dWrF8uXL093/Tp16qQ1iQE6duyIr69v2ryEhATWrFlD37590z3GAw88wL59+zh27BgAYWFhpKamppvn6+tLp06d0j3mv5vEN9SvX5/Y2FiuXr16q5SIiADQtFIJFgxtipebE7HxyTw8dzNbj180OyzJp9QoFpE8FRN1iu3Tu/HX7ggABgSXZ9qgDri6upocmYiISO7xdHVi7qDGhLS8G4A/j16k+8frOXjussmRiRQOERERBAYGphvz9vbG39+fiIiIm64DMqwNCgrixIkTXLt2LdPrWywWAgMD065x+PBhkpKS7F7r348VERFBqVKl8PHxyTDvZrHC9a0typYti4eHx03niYj8W73y3nz7eFNKuDtzJSGZR+Zu5q9jahZLRtp6QkTyzNkjuzG+6k0z4xxznM+wusXXPNupBhaLxezQREREcp2D1cJL99Wg6l3FeenHvzlxMY6eMzfw4YD6tA0sZXZ4IgWazWbD29s7w7iPjw8XL2beDLHZbLi4uGS4acHHxwfDMLDZbLi5ud3W9W02G0CGeTcawv+el51Y161bx7fffss777yT6RyA2NjYdIfsRUZGApCSkkJKSspN195MSkoKqampd3SNwkh5sU95sc/MvFQr5c6CkGAemruZC1cSGfT5ZuY80pAmd/veenEu0/dL5nIiN1lZq0axiOSJw9tWUeKnQXhzmUTDgasNhjGqc02zwxIREclz/RsHULGEO08s2MbFq4kMmf8XE7oGMaTl3XrzVETsOnXqFP3796dt27Y8/fTTN507Y8YMXnnllQzj0dHRuLi4ZDuG1NTUtMP2tD/yP5QX+5QX+8zOi7cFPupVlZFL9hMdl8zgL7bwTvcqNCxv7qcUzM5LfpYTuYmOjr7tuWoUi0iu27NqAZV/fwZXSxKxRjEOt/uU5q27mR2WiIiIaZpUun7IXcj8Lew/d5nX/7uPA+cu83qP2jrkTiQbfHx80v6Q/jebzZZu32J76xISEoiPj093V7HNZsNisaTdDXyz65cvXz5tDpBh3o07jW/EkdVYL126RJcuXShRogTff//9LRsFo0ePJiQkJO3ryMhIgoODKVGiBH5+fjddezM37kgrWbIkDg4O2b5OYaO82Ke82Jcf8uLnB98+7sNDc//i3OUExvx0iNkPNaBFlYz7oueV/JCX/ConcpOQkHDbc9UoFpFctW3xm9T7expWi8FZShDT+xvq12lidlgiIiKmK+9bjO9HNOfZb7cTvu883205xbELcXzyUANKFM/+XX8iRdG/9wq+ISYmhsjIyAx7Bv/vOoD9+/dTt27dtPGIiAgCAgJwc3NLm7d79+50aw3DYP/+/XTs2BGAypUr4+TkREREBJ07d053rX8/VmBgIOfOncNms6Xbp9jePsjXrl3jvvvuIyYmho0bN+LldevDnz09PfH09Mww7uDgcMcNGKvVmiPXKWyUF/uUF/vyQ16qlvZi0bBmDPhsE5Ex8Qz9ahuzH2lE62rZfzPpTuWHvORXd5qbrKzT7QoikisMw+CP+ZNosGcqVovBYWtFUh77lepqEouIiKQp7uLIpw83YljrSgBsPnb9kLv9Z3XInUhWdOnShfDwcC5dupQ2tnjxYqxWK506dcp0XfPmzfH09GTx4sVpY0lJSYSGhtK1a9d019+5cycHDx5MG1u1ahXR0dFp81xcXGjbti1LlixJ9xiLFi0iKCiIihUrAtCpUyesVivff/992hybzUZYWFi6x0xOTqZfv37s27ePX375hbJly2YtKSIiN1GxpDvfPt6UMl6uJCSnMvTLLazZf97ssMRkahSLSI5LTkllfOhuJkYEcNEozi7nevg+uYqyFSqbHZqIiEi+42C1ML5LENP71sXZwcop2zV6zVxP+N5zZocmUmAMHz4cDw8PevToQVhYGPPmzWPs2LEMHz6cMmXKpM1r3749VapUSfva1dWV8ePHM336dN5//31Wr17NgAEDiI6O5rnnnkub16dPH2rWrEnv3r1ZtmwZ3333HYMHD+bee+8lODg4bd7EiRPZuHEjI0aMYO3atUyePJmFCxem2zO4XLlyhISEMHbsWObNm0dYWBg9e/bEy8uLYcOGpc0bMWIEy5Yt48UXXyQ2NpZNmzal/cvKx4hFRDJToYQ7i4Y1o6y3G4nJqQz7ciur9un3j6JMW0+ISI66kpDMUwu3sWZ/FODPewEfMuHBLri6upkdmoiISL7Wp2E57i5ZjGFfbeXClUSGfrWF5/8TyLB7KumQO5Fb8PHxYdWqVTz11FP06NEDDw8PQkJCmDJlSrp5KSkpJCcnpxt7/vnnMQyD6dOnExUVRb169Vi5ciWVKlVKm+Pk5MQvv/zC008/zYABA3B0dKRXr168++676a7VsmVLQkNDeemll5g7dy4BAQHMmTOHvn37ppv3/vvvU7x4cV544QUuX75MixYtCA8PT7e1RFhYGABjxozJ8HyPHj2adoeyiMidKO9bjEXDmjLgs02cvHiN4V9vZdZDDWkfdJfZoYkJ1CgWkRxz9ugeIha+wKbLjwKuPNq8IhPvq4GDVX/cioiI3I6GFXz58f8PuYs4e5k3VkRw4NxlpvWqjYuj9uwTuZmgoCDCw8NvOmft2rUZxiwWC+PHj2f8+PE3XVu2bNl020Vkplu3bnTrdvODm11cXJg+fTrTp0/PdM6xY8du+VgiIjmhnE8xFj1+fc/i49FxPPH1Nj4bZO6exWIObT0hIjniyJaVuM7vRJuk33nbaTYv3RvE5PvVJBYREcmqcj7F+P6J5nSqcf1OntBtpxkwexNRl/VRcxEREckdZbzdWDi0KeV83EhMSeXxL7ew/tAFs8OSPKZGsYjcsaO/fUWF5Q/hzRVijWL4txtOSCt9TFZERCS73F0cmfVQQ0a0ub6//7YTl+jx8Xr2nok1OTIREREprMp6u/HN0H8OuBsy/y82HYk2OyzJQ2oUi0i2GakpbP9iDM32vY6zJYVT3MXZfsto2Lan2aGJiIgUeFarhXH/CeS9/vVwdrRy+tI1+szawMo9Z80OTURERAqp8r7FWDi0KXd5uhCflMrgL/5i6/GLZocleUSNYhHJlsRrV9n1Xi8anZwHwB7HGjgNX0O1mg1NjkxERKRw6VG/LN8+3pSSxV2IS0xh2Fdb+XjNIQzDMDs0ERERKYQqlnRn4dCm+Hlc/93j0c//YsfJS2aHJXlAjWIRybJLcYnsfq8ndWPXArDBrS0Bz6zkrtJlzQ1MRESkkGoQ4MNPT7aghr8nAG+v3M+oRTuIT0oxOTIREREpjCr7FWdhSBNKuDtzOSGZR+b+yd+nY8wOS3KZGsUikiVHL1yl58wNTI39DwmGE7+VHUrFh2dSrJi72aGJiIgUamW83VjyRDP+U7M0AD/uOMMDszdx/nK8yZGJiIhIYVT1Lg8WDG2CTzEnYuOTeWjun+yL1HkJhVm2GsURERF07NgRd3d3Spcuzbhx40hMTLzpmrVr12KxWOz+CwwMzFbwIpK3Nhw8T8+Z6zl64So7LYH80m45LQe/idWq95xERETyQjFnR2Y+2ICn21UBYMfJS3T/aL3u8BEREZFcEVjak6+GNMHT1ZFLcUk8OOdPDp67bHZYkkuy3N2x2Wy0a9eOxMREQkNDmTp1KrNnz2b06NE3XdegQQM2btyY7t/KlSuxWq106dIl209ARHKfkZrK1q8ncvWrAcTEJeDh6sgXjwXTvXWw2aGJyL/ojVyRosFqtTC6U3U+HFAfF0crkTHx9J21kRW7I80OTURERAqhWmW9+GpIEzxcHLl4NZEH5/zJieg4s8OSXOCY1QWzZs0iNjaWH374AV9fXwCSk5MZMWIEEyZMoEyZMnbXeXp60rRp03RjX3zxBampqQwcODAboYtIXki8doV9sx6hYcwqsMIYz7V0GfoKlf2Kmx2aiPzLjTdyq1atSmhoKKdPn2b06NHExcXx0UcfZbruxhu5/xYbG0uXLl30Rq5IPnd/3TIE+BZj6JdbOH85gScWbGN0x2o89f93G4uIiIjklLrlvflicGMemrOZ85cTeHDuJhYPa05pL1ezQ5MclOU7ilesWEGHDh3SmsQA/fr1IzU1lbCwsCxda+HChVStWpXGjRtnNQwRyQMXI49y8p021I1ZBcBmt1Y8PHKimsQi+dC/38jt3LkzgwcP5q233mLWrFmcOXMm03U33sj9978zZ87ojVyRAqJueW9+erIltct6ATDj1wM8/a0OuRMREZGc17CCL5890ghnBysnL17jobl/cvHqzT/BKAVLlhvFERERGT6K6u3tjb+/PxEREbd9nXPnzrF69Wr9ESqSTx3Zvhrj0zZUTj4IwG9lQmj43FK8vLzNDUxE7NIbuSJFV2kvV74b1ox76/gD8PPOMzzw2Z9EXdEfbiIiIpKzWlYtyYcD6+NgtXDo/BUGfb6Z2Pgks8OSHJLlrSdsNhve3t4Zxn18fLh48eJtX2fRokWkpKTcVqM4NjaW2Nh/TlWMjLy+/1pKSgopKdm7WyIlJYXU1NRsry/MlBv7ilJedv/3E2psnYyzJZk4w4Udjd6gZddBABmef1HKS1YoL/blVF6U14wiIiIYPHhwurE7eSP3pZdeuuXc3KjPN9br5ycj5cU+5eU6Zwd4v18dqvq5896qQ+w+Hctj30Tw6UNu1AvwvfUFigh9v9in+iwiIlnRuWZp3u5Th9Hf7WT36RhCvtjC/MHBuDk7mB2a3KEsN4pzyoIFC2jYsCHVqlW75dwZM2bwyiuvZBiPjo7GxcUlW4+fmppKTMz106Gt1izfWF2oKTf2FYW8pBoG3/2+i+F7X8bZkswZ/DjR9gMqBTYgKirK/poikJfsUF7sy6m8REdH51RIhYYZb+TmRn0G/fxkRnmxT3lJ74HaXvi5VOLVsKNcuJrEgDl/MbFTRTpWV7MY9P2SGdVnERHJql4NynE1IZmJS/ew+dhFhn+99fq2FI6qrwVZlhvFPj4+ab9E/JvNZkv3cdebOXz4MJs3b2bGjBm3NX/06NGEhISkfR0ZGUlwcDAlSpTAz8/v9gL/Hzfe7S5ZsiQODnrH49+UG/sKe16uJiTz3JLdhO1N5oj1cYYW+42Sj35DY/+yN11X2POSXcqLfTmVl4SEhJwKSf5HVt7IzY36DPr5yYzyYp/yktEDfn4EBfgx7KttRF1NYuKKo5yPt/J0uypYrRazwzOVvl/sU30WEZHseLhZRWLjk3l75X5+OxDFs4u288ED9XF0ULO4oMpyozgwMDDDR1hjYmKIjIzMsHdxZhYuXIjVauWBBx64rfmenp54enpmGHdwcLijX2SsVusdX6OwUm7sK6x5OXlgB0N/jiYiKh4AS52+VO31Cq7OTre1vrDm5U4pL/blRF6U04zMeCM3t+oz6OcnM8qLfcpLRnXL+zBvYBATlh9n1+kYPlxzmMMXrvJO33pF/mOh+n6xT/VZRESyY2TbKlyOT2bWb4dZvvss7s67ebN3nSL/5nRBleUWf5cuXQgPD+fSpUtpY4sXL8ZqtdKpU6fbusY333xDmzZt8Pf3z+rDi0gO27V8NiUXdKS3bQ5WC7zQJZD3+te77SaxiOQPZryRKyL5W0l3J74ZGky3umUAWL77LH0/3UBkzDWTIxMREZHC5Pn/VOehpgEALN56itf/uw/DMEyOSrIjy43i4cOH4+HhQY8ePQgLC2PevHmMHTuW4cOHU6ZMmbR57du3p0qVKhnWb9++nX379t3W3ocikntSkhLZ+ukw6mwei5slke6OG1nwYDWGt66MxaJ3/kQKGr2RKyL2uDo58P4D9Xiu0/XtZP4+HUu3j9az/YTN5MhERESksLBYLLzarRY96l3vC36+/iizfjticlSSHVluFPv4+LBq1SocHR3p0aMHL7zwAiEhIRk+ppqSkkJycnKG9QsXLsTFxYXevXtnP2oRuSMx509yaHo7GkZ+C8AexxokDVlLs1pVzQ1MRLJNb+SKSGYsFgtPtqvKrIca4ObkQNTlBPrP3sTSHafNDk1EREQKCavVwtt969K2+vWzSt78JYLvtpw0OSrJqmztLh0UFER4eDhxcXGcO3eOt99+G2dn53Rz1q5dy7FjxzKsffvtt4mPj7d7MruI5L6j29eQ+Mk9VE/YDcAfvr2p/NwaypavaG5gInJH9EauiNzKf2r5s+SJZpTxciUxOZVnvt3B9JX7SU3VR0NFRETkzjk5WPn4wQbUD/AGYHzoblbtO2duUJIlOoZQpAjZ9uMHlP2xN37GRa4ZzqyrM5WWT83F1dXV7NBEJAfojVwRuZWaZbxY+mRLGvz/H3AfrTnEEwu2cjUh4xtIIiIiIllVzNmRzwc1prKfOympBiMXbmPr8YtmhyW3SY1ikSIgKSWVl3/aw6zNF3G2pHCaUhzt/gMte43UfsQiIiJFjJ+HCwuHNqVX/bIArNxzjj6zNnL6kg65ExERkTvn4+7Ml0OaUNrTlfikVAZ/sYWD5y6bHZbcBjWKRQq5c7HxPPjZn3yx4RhhqY350GssziN+p0aDlmaHJiIiIiZxdXLgnX51ef4/gVgssC8ylu4frWfrcR1yJyIiIneurLcbXw4JxtPVkZhrSTzy+WbO6E3pfE+NYpFCbO/qb1j97mNsPnb9Yx6PNq/I8Kcn4FfK3+TIRERExGwWi4Un2lRm9sONKObswIUrCQyYvYnQbafMDk1EREQKgWp3efD5o41xcbQSGRPPI59v5lJcotlhyU2oUSxSCKUkJbL1s5HU+H04A4zlDHT+g/cfqMfL3Wri5KAfexEREflHxxp38f0TzSnr7UZiSiqjv9vJGysiSNEhdyIiInKHGlX05eOBDXCwWjh0/gqDv/iLa4kpZoclmVDHSKSQsUUe5fDbrWl4+msAIhyq8vgjg+her6zJkYmIiEh+FeTvydInW9Cogg8As347zLCvtnBFh9yJiIjIHepQ4y6m9aoNwLYTl3hy4TaSU1JNjkrsUaNYpBDZv/5H+PQeqiXuBeAP314EjPmNilWCzA1MRERE8r2SxV1YMLQJfRqWAyB833n6fLKBkxfjTI5MRERECrp+jcoz7j/VAVgVcZ6Xf96DYejTS/mNGsUihYCRkszWL56jatij+BDLFcONDfWn0/KpzylWzN3s8ERERKSAcHF04O0+dXixaxAWC0ScvUyPj9fz1/+fdyAiIiKSXU+0rsxDTQMA+HrTCWb/fsTkiOR/qVEsUsDFxCXx+tzvqHd0DlaLwWFrBc72/4Xm3YdisVjMDk9EREQKGIvFwtB7KjF3UCOKuzgSfTWRgZ9tYvGWk2aHJiIiIgWYxWLh5ftr0j6wFADTVkTw884zJkcl/6ZGsUgBtuvUJe798A/mHvHineR+bPDsQqlRf1ClRj2zQxMREZECrl3gXYSOaE55XzeSUgzGLtnFlP/u1SF3IiIikm2ODlY+HFif2mW9ABjz3U59cikfUaNYpABKTU5m7Xcf0ueTdZyyXcPJwcJdXcfTbNQ3eHh4mR2eiIiIFBLV7vJg6ciWBN/tC8Bnfxxl6JdbuByfZHJkIiIiUlAVc3Zk7qONKOvtRmJKKsO+3s7xi/FmhyWoUSxS4FyMPMqBt9vQZu9LPMwKynq7sXh4cwa1uFtbTYiIiEiO83V35ushTXigcXkAVkecp/cnGzgRrUPuREREJHtKebgyf3BjPF0dibmWxKgfD3LhSoLZYRV5ahSLFCD71nyLw6ctCUzYDUCbkrEsf6YV9cp7mxuYiIiIFGrOjlam9arNpPtqYLXAgXNX6P7xOjYdiTY7NBERESmgqpTyYPYjjXB2sHAmNpGhX24jLjHZ7LCKNDWKRQqA5IQ4ts4aStBvw/DiClcMN9bXfYuWz36Jl5uT2eGJiIhIEWCxWBjc8m4+f7QxHi6O2OKSeGjOn3y7+YTZoYmIiEgB1bRSCd7sXRuAXadjePqbHToPwURqFIvkc2eP7OLk2y1oePY7ACIcqhL14K+06DlMW02IiIhInmtTvRQ/jGxOhRLFSE41eCF0N6/8vIfklFSzQxMREZECqFvdMoxoURaA8H3neG3ZXpMjKrrUKBbJx8K2H8Lly67cnXwEgN/9BlJx7B/cXa22yZGJiIhIUVallAc/jmhBs0olAJi3/hiD528hVofciYkiIiLo2LEj7u7ulC5dmnHjxpGYmHjLdYZh8MYbbxAQEICbmxvNmjVj06ZNGeadOXOG3r174+Hhga+vLyEhIcTGxmaY9/PPP1O3bl1cXV2pVq0a8+bNyzAnMTGRsWPHUrp0adzd3enYsSP79+/PseckIlLQPNzoLgb8/3kIX2w4xlcbj5kbUBGlRrFIPhSflMKEH3bz+KL9vJPUh2i8+KvFZ9wz8hNcXd3MDk9EREQEH3dnvhwSzINNAgD4/UAUPT9ez7ELV02OTIoim81Gu3btSExMJDQ0lKlTpzJ79mxGjx59y7VvvvkmkydPZtSoUSxbtgx/f386derEkSNH0uYkJSXRuXNnDhw4wMKFC/nkk09YuXIlAwcOTHetdevW0bNnT5o1a8aKFSvo378/Q4YMYcmSJenmPf3003z22WdMnTqV0NBQEhISaN++PTExMTnynEREChqLxcLk+4NoVbUkAC//vJc/DkaZHFXR42h2ACKS3pGd6xi5KoF95+MB2Fe2L/E9x9LYv6zJkYmIiIik5+Rg5fUetah2lwevLtvL4airdP94PZ882IDmVUqaHZ4UIbNmzSI2NpYffvgBX19fAJKTkxkxYgQTJkygTJkydtfFx8czbdo0xowZw6hRowBo1aoV1apVY/r06cycOROAJUuWsGfPHvbt20f16tUB8PHxoXPnzmzevJng4GAAXnvtNZo0acKsWbMAaNu2LYcPH2bSpEn06dMHgFOnTjFnzhxmzpzJ4MGDAWjcuDEBAQF8+umnjBs37o6ek4hIQeXkYOWjgQ3oNXM9h6OuMmLBNn4Y0YIqpYqbHVqRoTuKRfKJ1KREtn7xHBVC76PLxS+xWODJtlVYNKwZZdUkFhERkXzKYrEwqHlFvnisMR6ujsRcS+KRzzfz9abjZocmRciKFSvo0KFDWkMVoF+/fqSmphIWFpbpug0bNhAbG0u/fv3SxpydnenVqxfLly9Pd/06deqkNYkBOnbsiK+vb9q8hIQE1qxZQ9++fdM9xgMPPMC+ffs4duwYAGFhYaSmpqab5+vrS6dOnTI8Znaek4hIQebl5sTcQY3xLubE5fhkhsz/i4tXteVOXtEdxSL5wLmje7i88DEaJu0HC3Rz+osmg6bRpKruEhAREZGCoVVVP34c2YKQ+Vs4euEqL/34NwfPXWbifTVwdND9KZK7IiIi0u7OvcHb2xt/f38iIiJuug4gMDAw3XhQUBAnTpzg2rVruLm5ERERkWGOxWIhMDAw7RqHDx8mKSnJ7rVuPFbFihWJiIigVKlS+Pj4ZJg3d+7cO35OsbGx6fZOjoyMBCAlJYWUlJRM191KSkoKqampd3SNwkh5sU95sU95se9/81Lex5WZA+szaN5fHI+OY/hXW5j/WGOcHYve7xM58T2TlbVqFIuYyTDYufR9qu2Yyl0kALDO635qD/6Iil7e5sYmIiIikkWV/Yrz44gWjFy4jXWHLjB/43EOR13l44EN8CrmZHZ4UojZbDa8vb0zjPv4+HDx4sWbrnNxccHV1TXDOsMwsNlsuLm53db1bTYbQIZ5NxrC/553O7Fm9znNmDGDV155JcN4dHQ0Li4uma67ldTU1LQ9lK3WotesyYzyYp/yYp/yYp+9vFQqDs+3C+D1X4+z+ZiNsYu28mLHClgsFjNDzXM58T0THR1923PVKBYxyeWLkRz7PIS6V9YBEI0nB5tMo2WXh0yOTERERCT7vIo5Me+xxry2bC9fbjzOukMX6DlzPXMGNaKSn/YYFMlto0ePJiQkJO3ryMhIgoODKVGiBH5+ftm+7o070kqWLImDg8Mdx1lYKC/2KS/2KS/2ZZaXx9r4cS7eymd/HGXZ3mhqlC/BsHsqmRWmKXLieyYhIeG256pRLGKCzYej8Pu6A7WNUwBsdQnG/+E5NC1XweTIRERERO6ck4OVV7vXoupdHrz80x6OXLhKj4/XM/PBhrSsqkPuJOf5+Pik3XH1bzabLd0ev/bWJSQkEB8fn+6uYpvNhsViSbsb+GbXL1++fNocIMO8G3ca34jjdmPN7nPy9PTE09Mzw7iDg8MdN6asVmuOXKewUV7sU17sU17syywvL3QJ4lh0HL/uPcfbYQeoXMqDzjVLmxSlOe70eyYr63Sfu0geSkxO5a1fIug/ZzPvJPTkmuHMb1UnUG/cSsqoSSwiIiKFzMNNK/DV4GC83JyIjU9m0LzNfLnxmNlhSSH0772Cb4iJiSEyMjLDnsH/uw5g//796cYjIiIICAjAzc0t0+sbhsH+/fvTrlG5cmWcnJwyzPvffZADAwM5d+5cWgP53/P+HWt2n5OISGHiYLXwXv96BPl7Yhjw7Lc72HMm45tokjPUKBbJI8f/Xs/AmeHMXHsYw4B9JTpw/MF1tH7weRx0wIuIiIgUUs2rlGTpyBZU9nMnJdVg0tI9vPTjbpJSUs0OTQqRLl26EB4ezqVLl9LGFi9ejNVqpVOnTpmua968OZ6enixevDhtLCkpidDQULp27Zru+jt37uTgwYNpY6tWrSI6OjptnouLC23btmXJkiXpHmPRokUEBQVRsWJFADp16oTVauX7779Pm2Oz2QgLC8vwmNl5TiIihY27iyNzBzXCz8OFa0kpPP7lVqKv3P52CnL71J0SyWUpSQlsnTeasovvo/v5TwF4pFkFlj3VisBq1U2OTkRERCT3VSzpTuiIFtxT7fr+qF9vOsGgzzdzKS7R5MiksBg+fDgeHh706NGDsLAw5s2bx9ixYxk+fDhlypRJm9e+fXuqVKmS9rWrqyvjx49n+vTpvP/++6xevZoBAwYQHR3Nc889lzavT58+1KxZk969e7Ns2TK+++47Bg8ezL333ktwcHDavIkTJ7Jx40ZGjBjB2rVrmTx5MgsXLkx3uFy5cuUICQlh7NixzJs3j7CwMHr27ImXlxfDhg3L8nMSESkKyni7Mfvhhjg7WDl96RojFmzTm865QI1ikVx0at+fnHizKQ2Pz8XRkkobx7/56qEgXu1eCzdn7UckIiIiRYeXmxOfD2rEYy0qArDhcDTdP17PofOXzQ1MCgUfHx9WrVqFo6MjPXr04IUXXiAkJIQZM2akm5eSkkJycnK6seeff57Jkyczffp0unbtyqlTp1i5ciWVKv1zYJKTkxO//PILVatWZcCAAQwbNoyOHTuycOHCdNdq2bIloaGhrFu3js6dO7Nw4ULmzJlD37590817//33GTJkCC+88AI9evTAycmJ8PBwvLy8svycRESKivoBPrzesxYAfx69yGvL9pocUeGjw+xEckFqchI7vplMrUOzcLZcP6FynU9Pag96j1be3uYGJyIiImISRwcrk++vSbW7PJj4498cj46j58cb+HBgfdpUL2V2eFLABQUFER4eftM5a9euzTBmsVgYP34848ePv+nasmXLptsuIjPdunWjW7duN53j4uLC9OnTmT59+k3n3c5zEhEpSvo1Ks/eM7F8seEYX248Tg1/Tx4IDjA7rEJDdxSL5LDIQzs48mZzGhz+GGdLCmcpyV/3fEHLZ77AS01iEREREQYEB/B1SBN8ijlxOSGZwV/8xefrjmIYhtmhiYiISD734r1BNK9cAoCJS/9m6/GLJkdUeKhRLJJDDMNg0Z9HSfyqP1WSDgCwwbMLzk9tonG7niZHJyIiIpK/NK1UgqUjW1K1VHFSDXh12V7Gh+4mMVn7DYqIiEjmnBysfDywAeV93UhKMRj21TYiY66ZHVahoEaxSA44GxPPY1/8xfM/7GVi0iDO48OmZp/QbNQ3+JbwMzs8ERERkXwpoEQxQkc0p231678vffvXSR6e+ycXr+qQOxEREcmcj7szsx9uhJuTAxeuJDDsq63EJ6WYHVaBp0axyB0wUlPY9v07PPDuT6zdHwWAU7WO8NR2mnYeiMViMTlCERERkfzNw9WJOYMaM7TV3cD1w2l6fLyeA+d0yJ2IiIhkLsjfkxn96gKw61QME0J3axurO6RGsUg2nTuymwNv3kOD3a8yOuVzPFwceatPHeYMakSpEj5mhyciIiJSYDhYLbx4bw3e6l0HJwcLJy7G0WvmBlZHnDM7NBEREcnHutT256l2VQAI3X6aueuOmhxRwaZGsUgWpSYnsW3hZLznt6V6wt8A3OXhxC9PN6Vfo/K6i1hEREQkm/o1Ls+CkKb4ujtzJSGZIfO38NnvR3R3kIiIiGRqVIdqdAgqBcDU5fvYcPiCyREVXGoUi2RB1NFdnHi7JQ0OvIeLJYkovNnQ6H2Cx/5E2RJeZocnIiIiUuAF3+3L0pEtqH6XB4YBU5bvY9ySXSQka99BERERychqtfBu/3pU8nMn1YCnFm7X4XbZpEaxyG1IToxn+5fjCPzlASonHwRgg0dnGPknze97VHcRi4iIiOSg8r7F+H5E87S7gxZvPcVDc/4k+kqCyZGJiIhIfuTh6sSnDzWkmLMD0VcTGbFgG4nJqWaHVeCoUSxyC/vPXqb/pxvxOroCJ0sKkZRkc4vPaD7mO/z8SpsdnoiIiEihVNzFkU8fbsTw1pUB+OuYjW4frSfibKzJkYmIiEh+VPUuD97qUweA7Scu8fp/95ocUcGjRrFIJhKTUngv/AD3ffgHW0/H8XzSUH7zuA/npzYR3LGf2eGJiIiIFHoOVgsvdAnknb51cXawcvrSNXrP3MCve3XInYiIiGR0X50yhLS8G4AvNx4ndNspkyMqWNQoFrHj4KZlnHijEYvDN5CUYuDv5cqIhwdQ/cF38Pb2NTs8ERERkSKld8NyfPN4E0oWd+ZqYgqPf7WFT9Ye1iF3IiIiksHzXQIJvvt672bCD7vZe0afRrpdahSL/Mvli5HseL8/VX95kCopR3jV6QsebBJA2Kh7aFvdz+zwRERERIqshhV8+XFkC4L8PTEMePOXCMYs3kl8kg65ExERkX84OVj5aGB9Snm4EJ+UyvCvtxITl2R2WAWCGsUigJGayq6fPyblg8bUs/0CwEHr3fjdN4kpPWvj4epkcoQiIiIiUs6nGEuGN6NTjbsACN12moGfbSLqsg65ExERkX+U8nBl5oMNcLRaOHExjtHf7SA1VZ9EuhU1iqXIO3f0b/a/1YY6WyfgzWXiDBd+q/gMAS/8SZ0m7cwOT0RERET+xd3FkVkPNWRk2+uH3G07cYnuH61jz5kYkyMTERGR/KRRRV9eujcIgFUR5/l4zSGTI8r/1CiWIis5JZWly37C54vWBMbvBGCrSzDnH/md1o++iouzi8kRioiIiIg9VquFsZ0Dea9/PZwdrZyJiafPJxv55e+zZocmIiIi+cig5hXpXq8MADPCD/D7gSiTI8rf1CiWImn3qRh6zFzPqHUW9hoBROHN+gbTqT9uJRUrB5odnoiIiIjchh71y7Lo8ab4ebhwLSmF4V9v5eM1h3TInYiIiABgsViY1qs21e/ywDDg2UU7OBsTb3ZY+ZYaxVKkXL0UxbdffUr3j9fx9+lYUrHyc5XXsT75Fy26DcXqoB8JERERkYKkfoAPS0e2oGYZTwDeXrmfZxft0CF3IiIiAkAxZ0dmPtQAd2cHLl5N5OlvtpOckmp2WPmSumJSJBipqexaNpPE9xrQ89AE7uY0Ab7F+HJwMBMfuZcSJUuZHaKIiIiIZFMZbzcWD29Gl1qlAVi64wz9Z2/ifKzuGBIRERGo7Fecqb1qA7D52EVm/HrA5Ijyp2w1iiMiIujYsSPu7u6ULl2acePGkZiYeFtrT58+zaBBg/Dz88PNzY2goCAWLFiQnTBEbsupiL848GYr6mwZjw+xGFh4puY1Vj57D/dU8zM7PBGRHKP6LCJFWTFnRz4e2ICn21cFYOfJS3T/eD1/n9YhdyIiIgLd65VlQHAAADPXHmbt/vMmR5T/OGZ1gc1mo127dlStWpXQ0FBOnz7N6NGjiYuL46OPPrrp2sjISJo1a0b16tWZPXs2np6e7Nmzh4SEhGw/AZHMxF+xsWfBC9Q98x2OlusfKdjqEox37xl0q1bb5OhERHKW6rOIyPVD7kZ3rEbVUsV5bvFOImPi6TNrA+/2q0eX2v5mhyciIiImm3x/DXacvMS+yFhGLdrB8mda4e/lZnZY+UaWG8WzZs0iNjaWH374AV9fXwCSk5MZMWIEEyZMoEyZMpmuHTduHOXLl+eXX37BwcEBgPbt22czdJHM7fz1a8pueImGhg0scAY/jjeeRNMuD2GxascVESl8VJ9FRP5xf90yVChRjKFfbuFcbAJPLNjGqA7VGNnmbrNDExERERO5Ojkw88EG3PfBH9jiknhq4Xa+fbwpjjqzCsjG1hMrVqygQ4cOaX+EAvTr14/U1FTCwsIyXRcbG8t3333HiBEj0v4IFclpJy/GETJ/C/PX7KakYSPBcOT30oNwH72VZvc+oiaxiBRaqs8iIunVKefN0pEtqVPOC4B3ww/wzKKdxCfp8BoREZGi7O6S7rzRuw4AW47bmB6m/YpvyPIdxREREQwePDjdmLe3N/7+/kRERGS6btu2bSQmJuLk5ETr1q3ZsGEDJUqUYNCgQbz++us4OTllujY2NpbY2Ni0ryMjIwFISUkhJSV7pxmnpKSQmpqa7fWFWUHMTUJcLPPXH+P99Wf//5f/VrRyiyLo3pG0CKoHcMfPpyDmJS8oL/YpL/blVF6U14wKS32+sV4/PxkpL/YpL/YpL9f5FXdi4ZBgng/dzX93n+W/u89y+Fwssx8pTlkfd7PDyzdUn0VEpKi5v24Z/jwazdebTjDrt8M0uduXtoGlzA7LdNnao9jb2zvDuI+PDxcvXsx03dmzZwEICQlh6NChvPzyy2zevJlJkyZhtVqZNm1apmtnzJjBK6+8kmE8OjoaFxeXrD4FAFJTU4mJuX6whVV3maZToHJjGJz480cq7Hgbl+TGxCc/grebIyNblqVJjSlYLRaioqJy5KEKVF7ykPJin/JiX07lJTo6OqdCKjQKS30G/fxkRnmxT3mxT3lJ76V2ZShb3MrsjWeIOB9Hr0828tb9VahRWs1iUH0WEZGi6aV7a7D9xCX2nIll1Hc7WP50K8p4F+39irPcKM6u1NTrH/Hq0KED77zzDgBt27bl8uXLTJ8+nUmTJuHmZv//jNGjRxMSEpL2dWRkJMHBwZQoUQI/P79sxXPj3e6SJUvqo7b/o6DkJvLgNi7/OJbg+O0ADHRYRWSdEQzvEox3Meccf7yCkpe8przYp7zYl1N50SFrOSe/1WfQz09mlBf7lBf7lJeMnr+vFLUCSjL2+91cuJrME0sO8Fbv2txXR4fcqT6LiEhR5OrkwMcDG3Dfh+u4FJfEU99sZ1ER3684y41iHx+ftHeb/81ms6XbF9HeOoB27dqlG2/fvj1Tpkzh0KFD1K5d2+5aT09PPD09M4w7ODjc0S8yVqv1jq9RWOXn3Fy9FMX+b8dTJ/J7ylmuNzh2O9bGqdsMXqwTnKuPnZ/zYiblxT7lxb6cyItymlFhqs+gn5/MKC/2KS/2KS8Z3VunDJ4OSbyw7AhnYxN4ZtFODkdd5dkO1bBaLWaHZyrVZxERKYoqlnTnzd51GLlwG1uP2/hg1UFGd6pudlimyXKLPDAwMMNehzExMURGRhIYGJjpuho1atz0uvHx8VkNRYoYIyWJHaFvk/xePRqcXYyjJZWzlGRD/bepOf53AnO5SSwikp+pPouI3J7AUsX44Ylm1C3vDcAHqw8xcuE24hKTzQ1MRERETHFvHX8GBAcA8NGaQ2w6UnS3Uspyo7hLly6Eh4dz6dKltLHFixdjtVrp1KlTpusqVKhA7dq1CQ8PTzf+66+/4ubmdss/VKVo23XqEgNm/Y7fzk/w4grxhhO/lQmh2JhtNO/+ONYi/LEAERFQfRYRyYpSnq4serwp3euVAWDF32fpO2sjkTHXTI5MREREzDDpvhpUKVWcVANGLdrBpbhEs0MyRZa7a8OHD8fDw4MePXoQFhbGvHnzGDt2LMOHD6dMmTJp89q3b0+VKlXSrZ0yZQo//fQTzz77LL/++itTp05l+vTpjB49Gnd3HSQhGUXZYhm3ZCfdP17PppPxTE16kD+LtebsI+tp/fg7eHp4mR2iiEi+oPosIpI1rk4OvNe/HmM7X/946Z4zsXT7aD3bT9hMjkxERETympuzAx88UB9nByuRMfE8//0uDMMwO6w8l+VGsY+PD6tWrcLR0ZEePXrwwgsvEBISwowZM9LNS0lJITk5/ce37r//fr755hvCw8O57777mD17Nq+88gqvvfbanT0LKXQSr11h6xdjSX2vDmFb9mEYULFEMXo9/CTBY5dSsXLR3S9GRMQe1WcRkayzWCyMbFuFWQ81xM3JgajLCfSfvYmlO06bHZqIiIjksRplPJnQ9fq2fSv3nGPBnydMjijvZfkwO4CgoKAMH1H9X2vXrrU73r9/f/r375+dh5UiwEhNZe+v8yi5aSoNjQtggVEuPxHf7jUebVERF0cdkCEikhnVZxGR7PlPrdKU923G0PlbOBMTzzPf7uDAucuM6Vi9yB9yJyIiUpQMal6RPw5eYFXEeV5btpfgu32pdpeH2WHlGW3sKvnG0W2rODytKTU3juYu4wLJhpU/fHvTdeQ7DGtdWU1iEREREck1Nct4sfTJljQI8Abg4zWHeWLBVq4m6JA7ERGRosJisfBWnzqU8nAhITmVpxZuJz4pxeyw8owaxWK6Cyci2DWjO3f/1IsqSfsB2OFUn0O9fqHV05/jV8rf5AhFREREpCjw83Dhm8eb0qtBWeD6x077zNrI6Us65E5ERKSoKFHchXf718Nigf3nLjN1+T6zQ8ozahSLaeISk3kv/ADz57xHndi1AByxlOfP5rOpO2ENgXWbmBugiIiIiBQ5Lo4OvNO3Li90CcRigX2RsXT/aB1bj180OzS5hZ9//pm6devi6upKtWrVmDdv3m2ti4mJYciQIfj6+uLh4UGfPn2IjIzMMG/Dhg00a9YMNzc3KlSowJtvvpnhoCPDMHjjjTcICAjAzc2NZs2asWnTpgzXOnPmDL1798bDwwNfX19CQkKIjY1N+99TUlJ46623uOeeeyhZsiS+vr60bduWP/74I4tZERGR7GhRpSTD7qkMwJcbjxO256zJEeUNNYolz6UmJbJk8xHaTl/Le+EHmZ3YmV1U4ffqL1J2/FaadOqPxaK94ERERETEHBaLheGtKzP74Ua4Oztw4UoiA2b/yfdbT5kdmmRi3bp19OzZk2bNmrFixQr69+/PkCFDWLJkyS3X9u/fn7CwMGbNmsWCBQvYv38/Xbp0SXf466FDh+jcuTP+/v4sW7aMZ599lkmTJvHOO++ku9abb77J5MmTGTVqFMuWLcPf359OnTpx5MiRtDlJSUl07tyZAwcOsHDhQj755BNWrlzJwIED0+Zcu3aNadOm0bBhQ+bPn8/ChQvx8fGhbdu2rF69OgcyJiIitzKmUzXqlvMCYNz3uzgXG29yRLkvW4fZiWSLYbBv7bd4/vEq+xPacC7lPhysFh5oUpVy7TdQp7iL2RGKiIiIiKTpWOMuvh/RnJD5Wzhlu8aYxTs5cP4y4zoH4qBD7vKV1157jSZNmjBr1iwA2rZty+HDh5k0aRJ9+vTJdN3GjRtZuXIlK1eupFOnTgBUr16doKAgQkND6devHwBvv/02JUqU4Ntvv8XZ2Zn27dsTFRXFlClTeOqpp3BxcSE+Pp5p06YxZswYRo0aBUCrVq2oVq0a06dPZ+bMmQAsWbKEPXv2sG/fPqpXrw6Aj48PnTt3ZvPmzQQHB+Pm5saRI0fw8fFJi7Vjx47UqlWLd999l3bt2uV8EkVEJB0nBysfDKhP1/f/4FJcEmOX7GL+Y40L9c2NuqNY8sTJvzew/817CPptOGVTzzDScSldq3sSNuoeXuleC181iUVEREQkHwos7cnSkS1oXPF6w+7T344w7KstXNEhd/lGQkICa9asoW/fvunGH3jgAfbt28exY8cyXbtixQq8vb3p2LFj2lj16tWpV68ey5cvTzevR48eODs7p7v+pUuX2LhxI3B9a4rY2Ni05jKAs7MzvXr1ynCtOnXqpDWJ4XoT2NfXN22eg4NDuibxjbE6depw5syZ20mLiIjkgAol3Jl8f00Afj8QxVebjpscUe5So1hy1YUTEex4rw/ll3ShevwuAP52rMmJrl8z87FWVPYrbnKEIiIiIiI3V6K4C1+HNKFvw3IAhO87T++ZGzh5Mc7kyATg8OHDJCUlERgYmG48KCgIgIiIiEzXRkREUL169Qx3hwUFBaWtu3r1KidPnsxw/cDAQCwWS9q8G/9pL44TJ05w7dq1tHn/O8disRAYGHjTWJOTk9m0aVPa8xIRkbzRt1E5OtW4C4Cpy/dx6PwVkyPKPdp6QnLFZdt5Dn73ErXOLKGeJQWAk5TmZKMXaNplEFYHvUchIiIiIgWHi6MDb/WpQ7W7PJi6Yh/7z12m+8fr+fThhjSu6Gt2eEWazWYDwNvbO934jTtyL17M/CBCm82WYd2NtTfWXbp0ye71nZ2dKVasWNo8m82Gi4sLrq6uGa5lGAY2mw03N7fbekx73nrrLU6fPp22rUVmYmNj0x2Md+NgvpSUFFJSUm669mZSUlJITU29o2sURsqLfcqLfcqLfQUhL6/3qMm2EzYuXElk1KLtLB7WFKc86G3lRG6yslaNYslRCckpfL3pBF+v2srS1J9wtqQQbXiyp+owGvUeTXm3YmaHKCIiIiKSLRaLhaH3VKJKqeI89c12Ll5NZOBnm5jSszb9GpU3O7xCJSYmJq3BeTOVKlXKg2jM9+uvvzJ58mQmTZpEw4YNbzp3xowZvPLKKxnGo6OjcXHJ/pZ/qampxMTEAGC16safG5QX+5QX+5QX+wpKXsa3D2DM0kPsPh3LW//dzePNyuT6Y+ZEbqKjo297rhrFkiNSkxJZtWkzr2xI5JTtGuDGR059aFnOmdr9XuIeH91lISIiIiKFQ9vAUoSOaM6Q+X9x8uI1xi3ZxYGzlxnfNUiH3OWQxYsXM3To0FvO27dvX9qdwzf+kL7hxp3Gvr6Z/y3i4+PDyZMnM4zbbLa0dTfu/v3f6ycmJhIXF5c2z8fHh4SEBOLj49PdVWyz2bBYLGlx+vj4ZLjWjXnly2d8w2Hbtm307t2bgQMHMmnSpEyfyw2jR48mJCQk7evIyEiCg4MpUaIEfn5+t1yfmRt3pJUsWRIHB4dsX6ewUV7sU17sU17sKyh56eHnx9bIBBZuPskXmyPpUi+ABgE+t154B3IiNwkJCbc9V41iuSNGagp7w7/Ee9ObBCYncz5xOhaLE73ql+ORjm9Rzkd3EIuIiIhI4VPtLg+WjmzJ8K+3svnoReasO8rhqCt8MKA+Hq5OZodX4IWEhKRrdt5MQkICTk5ORERE0Llz57TxzPYM/rfAwEDCw8MxDCPdPsURERHUrl0bAHd3d8qXL59h/+D9+/djGEba9W/85/79+6lbt266awUEBODm5pY2b/fu3emuZRgG+/fvT3eoHsChQ4fo0qULzZs3Z86cObeVD09PTzw9PTOMOzg43HEDxmq15sh1ChvlxT7lxT7lxb6CkpeX7qvBxiMXOXrhKs8t2c3yp1vh7pK77dU7zU1W1uXf+7kl3zv05zKOTGtCzQ3PUjY1kvLWKJ4IOMWKZ1rxTr+6ahKLiIiISKHm6+7M10Oa8EDj63eBrtkfRa+ZGzgRrUPu8pKLiwtt27ZlyZIl6cYXLVpEUFAQFStWzHRtly5dsNlsrFq1Km3swIEDbN++na5du6abt3TpUpKSktJd39vbm+bNmwPQvHlzPD09Wbx4cdqcpKQkQkNDM1xr586dHDx4MG1s1apVREdHp5sXGRlJp06dCAgIYMmSJTg56Q0IERGzFXN2ZEa/ujhYLRyPjuP1/+41O6QcpUaxZNnJvzew9632VFnxIJWTrv9ys92pAbvu/YlRI54ksHTGd69FRERERAojZ0cr03rVZvL9NbBa4OD5K3T/eB2bjtz+foBy5yZOnMjGjRsZMWIEa9euZfLkySxcuDDDXr2Ojo4MGTIk7etmzZrRuXNnBg8ezOLFi/n555/p06cPderUoVevXmnzxo4dy/nz5xkwYACrV6/m/fff5+233+bFF1/E2dkZAFdXV8aPH8/06dN5//33Wb16NQMGDCA6Oprnnnsu7Vp9+vShZs2a9O7dm2XLlvHdd98xePBg7r33XoKDgwG4du0aXbp04cKFC0yaNIm///6bTZs2sWnTJrZv356bqRQRkVuoH+DDk22rAPDN5pP8uvecyRHlHG09IbftxIWrRH/5MPVj/3m3fb+1MrEtXqJRu57pPqolIiIiIlJUWCwWHmtxN5X8ivPkwm3Y4pJ4aM6fvNajFgOCA8wOr0ho2bIloaGhvPTSS8ydO5eAgADmzJlD3759081LSUnJcPr7okWLGD16NI8//jjJycl06tSJDz/8EEfHf/5crlKlCmFhYYwePZquXbvi5+fHK6+8wpgxY9Jd6/nnn8cwDKZPn05UVBT16tVj5cqV6Q7dc3Jy4pdffuHpp59mwIABODo60qtXL9599920OefOnWPnzp0AdOvWLd1jVKhQgWPHjt1RvkRE5M482a4Kaw9EsfPkJV74fhf1A+6hZPHsHxiaX6hRLLcUGXONj1YfYtFfJ5lotVLfEU5SmhN1R9Pk/iHpfoESERERESmqWlfz44cRLQiZ/xfHouMYH7qbA+cu82LXIBwd9GHO3NatW7cMTdX/ZRhGhjEvLy/mzp3L3Llzb7q2efPmbNq06aZzLBYL48ePZ/z48TedV7ZsWb7//vtM//eKFSvajVVERPIHJwcr7/ary70frCP6aiITf/ybmQ82KPA3Ueq3FcnUxTOH+e3T0bR5ezUL/jxBcqrBQue+/BE0Gb/xu2jRc5iaxCIiIiIi/1KlVHF+HNmC5pVLADBv/TEGz99CzLWkW6wUERGRgqSSX3HGd71+kOmKv8/y865IkyO6c2oUSwaxUac4vvh5vOY0o3XkXNql/omnqyNjO1cn9PnetOo/GleXgn87vYiIiIhIbvAu5sz8wcE82OT6thO/H4ii58z1HL1w1eTIREREJCc91KQCzSpdf3N40tK/OX853uSI7owaxZLmiu0cW+c8ieusRjSJ/hFnSzI2w4NuNbz54/l2jGxbBXcX3UEsIiIiInIrTg5WpvSszavda+JgtXAk6io9Pl7PhkMXzA5NREREcojVauGtPnVwd3bgUlwSL/7wd4HeOkiNYiH+so2tXzwH79el4amvcCORy4Yba8sMxXhmJ10eGo2Xm5PZYYqIiIiIFDiPNKvIF481xtPVkZhrSTz8+Wa+2nTc7LBEREQkh5T3LcaEe4MA+HXvOZbuOGNyRNmnRnERFp+Uwtx1RwmbMZiGxz6jONeIM1z4vdRDnOofTqshb+LrW8LsMEVERERECrRWVf34cWQLKpV0JyXVYOKPfzNp6d8kp6SaHZqIiIjkgIHBAbSsUhKAyT/t4VxswdyCQo3iIuja5UvM+eMILd9cw2vL9vJh/H+4ZjjzR4m+XBr6Fy2GfYCPb0mzwxQRERERKTQq+RXnhxEt0v6I/HLjcR6d9xcxcTrkTkREpKCzWCy80bs2xV2uf4JoQujuArkFhRrFRUhczAW2fjGW5HeCCF/xPReuJOBgtVCnflPOD91Bq6fmUKZcBbPDFBEREREplLyKOfHFY40Z1Oz679zrDl2gx8z1HI66YnJkIiIicqfK+RTjpf/fgmJVxHm+33ba5IiyTo3iIiAuJoqt854j9d3aNDw2Gw/iGOH4E30blmPV6Na8068uFcqVNTtMEREREZFCz9HByivda/F6j1o4WC0cvXCVnh+v54+DUWaHJiIiIneof+Py3FPND4BXft5DZMw1kyPKGjWKC7GrtvNs/Xz09Qbx8c8oThzxhhN/lOhDpSFf8HbfulQs6W52mCIiIiIiRc5DTSvw1eBgvNyciI1P5tF5fzF/w7EC+TFVERERuc5isfBm79p4uDpyOT6ZF74vWFtQqFFcCF1JSGbVt+/C+7VpeGIuxbn2/w3ivlwY8hetnppLuQqVzQ5TRERERKRIa16lJEtHtqCy3/VD7ib/tIeXfvybJB1yJyIiUmD5e7kx6b4aAPx2IIrFW0+ZHNHtU6O4EIm5lsRHqw/S6s3VzNqZijvx1w+pK9mf6JAttHpqDuUC7jY7TBERERER+X8VS7rzw8gWtP7/j6ku+PMEj8zdjO1qosmRiYiISHb1aViOttWv1/bXl+3l/OV4kyO6PWoUFwIXTx9i6ychDH7jc6aHHcAWl8QOaxBLy4zm4tAttHpyNmXLVzQ7TBERERERscPT1Ym5gxoxuMX1mzo2Hommx8z1HDp/2eTIREREJDssFgtTetbG3dmB2PhkJi/dY3ZIt0WN4gLs3JHdbP9gAB6zg2l4bjGPpYbi7GjloaYBrHmuDd0fn0zZchXMDlNERERERG7B0cHKpPtr8Eav2jhaLRyPjqPnxxtYu/+82aGJiIhINpTxduOFLoEArPj7LL/8HWlyRLemRnEBdGrvJnbO6IHf/FbUv7gcJ0sKl4ziFK9Qj3Vj2/B6j9qU8ylmdpgiIiIiIpJFDwQH8HVIE3yKOXE5IZnBX/zF3HVHC9RBOCIiInLdg00q0LiiDwATl+4hJi7J5IhuTo3iAuTIrg38/XYnyn3Xmbqxa7BaDM7jw293j4JRu2kT8ialvNzMDlNERERERO5A00olWDqyJVVLFSfVgNeW7WV86G4Sk3XInYiISEFitVp4o3cdnB2tRF1OYOryfWaHdFNqFBcAW4/bGPLFX0z9NpxaV/8E4BR38Uf1lyg2dg+tB72Mt7evyVGKiIiIiEhOCShRjNARzdMOwvn2r5M8NPdPLuqQOxERkQKlsl9xnmlfFYBFW06y/tAFkyPKnBrF+ZSRksye8Pk8NfMHen+ygVUR51mVWp/VDs1ZV2caJcfvptWAsRR3dzc7VBERERERyQUerk7MGdSYoa2uH3K3+ehFun+8jgPndMidiIhIQfL4PZWo4e8JwAuhu4hLTDY5IvvUKM5nkuKvsiN0OpFTalFz3dM0OfMVAFVKFeedfvVpNeG/tOw1AlcXF5MjFRERERGR3OZgtfDivTV4q08dnBwsnLx4jV4zN7A64pzZoYmIiMhtcnKw8lafOjhYr9fyGWEHzA7JLjWK84mrtvNs/fIFrrwRSL1dr1Em9fpJiIFuMcx6sB5hz95DrwblcHLQ/2UiIiIiIkVNv0blWTi0Kb7uzlxJSGbI/C3M/v2wDrkTEREpIGqV9SLk/z8l9Pn6o2w/YTM5oozUdTTZhVMH2DprKNb3a9HwyCf4EEuKYeHPYm3Yfe9SGk4I5z+1y2K1WswOVURERERETNS4oi9LR7ag+l0eGAZMXR7BuCW7SEhOMTs0ERERuQ2jOlSjYolipBrw/Pe78t1BtWoUm+Rw1BXGh+7irVnzaHj2O9xI4JrhzDqfXhx/cD1Nxi2lduM2WCxqEIuIiIiIyHXlfYvx/YjmdAi6C4DFW0/x0Jw/uXAlweTIRERE5FZcnRx4o3cdAA6cu8JnfxwxOaL01CjOS4bBgQ0/MubzMDrM+I1vNp/kh+Sm7DXu5veyQ4l5Yjstn5lHpWo1zY5URERERETyqeIujsx+uCFPtKkMwF/HbHT/aD0RZ2NNjkxERERupWmlEvRvVB6AD1Yd5Hj0VZMj+ocaxXkgJSmBXctncXRKA6qFDeLuI19jGFDKw4UxXWpR7oXN3DN0OqVLlzM7VBERERERKQCsVgvP/yeQGf3q4uxg5fSla/SeuYFf9+qQOxERkfzuhS6B+Lo7k5CcysSle/LNmQNqFOeiK7ZzbP1qArap1amz+XnuTr5+O3lTlxO81bs2fzzfluGtK+Pp5mxypCIiIiIiUhD1alCObx5vSsnizlxNTOHxr7bwyVodciciIpKf+bg789K9QQD8fiCKZbsiTY7oOjWKc8HZI7vY9vEjOL5fk4aHP6akcf0Uw20ujdna9isaTFhNv8YBuDg6mBypiIiIiIgUdA0r+LD0yZYE+XtiGPDmLxGM+W4n8Uk65E5ERCS/6lm/LM0rlwDglZ/3EnMtyeSI1CjOUVuP2xi5YBuffj6HBlFLcSWJa4Yz6727caDPahqMD6dh625YHZR2ERERERHJOWW93VgyvBmda14/5C50+2kGfLaJ85fjTY5MRERE7LFYLLzeoxbODlYuXEng7ZURZoekRvGdSo6/yo6lH/Dghyvp/ckG/rs7kkXJrTlEeX4rP4LYJ3bS4tmvqFarodmhioiIiIhIIebu4sgnDzbkybZVANh+4hI9PlrPnjMxJkcmIiIi9lTyK86IttcPp13w5wm2nbCZGo8axdkUG3WKrfOe4/IbgdTbPpEaZ38EoJKfOxN6NKLs+B20HjKNu0qXMTdQEREREREpMqxWC891rs77D9TD2dHKmZh4+nyykV/+zh97H4qIiEh6T7SpTKWS7hgGTAjdTVJKqmmxqFGcRaf2bmL7Bw/g+lFdGh7/DB9iSTEsNPK5yrxHGxM+qjUPNa2Am4uj2aGKiIiIiEgR1b1eWRY93hQ/DxeuJaUw/OttfLT6oA65ExERyWdcHB14vWctACLOXmbe+qOmxaJG8W1ITTXYufpbDkxrTrnvOlP/4gqcLclcMVz5o0Qfjj34B52f+5K2gaWwWi1mhysiIiIiIkL9AB9+erIFtcp6AjA97ADPfLtDh9yJiIjkM80rl6RXg7IAvPvrQU7Z4kyJI1uN4oiICDp27Ii7uzulS5dm3LhxJCYm3nJdxYoVsVgsGf7Fx+fPAxZi4pKY88cR2kxfS/iqX6mWsAeA05Tit7ufJeHpv2n11FwqV6ttcqQiIiJFpz6LiMjt8/dy47thzehauzQAP+08Q//Zmzgfq9d4ERGR/OTFrkF4F3PiWlIKk5fuMeVTQFneH8Fms9GuXTuqVq1KaGgop0+fZvTo0cTFxfHRRx/dcn2fPn0YM2ZMujEXF5eshpF7DINjO9cS9dschl7oz6UkBwC+pR1t3I+RVP8xGrTvT1lnJ5MDFRER+Uehr88iIpJtxZwd+WhAA94rdZAPVh1k58lLdPtoPXMGNaJWWS+zwxMRERGgRHEXJnQJYtz3u1gVcZ5f956jfaBfnsaQ5UbxrFmziI2N5YcffsDX1xeA5ORkRowYwYQJEyhT5uaHt9111100bdo0e9HmouT4q+z9dR7Fd86jUvIhKgIdUsvyk2Nb7q9ThkHNW1Cn3INmhykiImJXYa3PIiKSM6xWC6M7VqNqqeI8t3gnZ2Pj6TNrAzP61aNzjVJmhyciIiJAn4bl+G7LSbYct/HKz3tpXqllnj5+lreeWLFiBR06dEj7IxSgX79+pKamEhYWlqPB5YWLZw6zde4zXHmjOnW2vkil5EMAHLOUpX3dymx8oR3v9KtLnXLe5gYqIiJyE4WtPouISO64v24ZFg9vxl2eLsQnpTJiwTY+XH1Ih9yJiIjkA1arhdd61MLBauH0pWt8vPZw3j5+VhdEREQQGBiYbszb2xt/f38iIiJuuX7BggW4uLhQvHhxunbtyu7du7MaQo7YdSqGI18/ie+cYBqe/AJvLpNqWNji2pS/Wn1OuRd306XfMEoU18duRUQk/yss9VlERHJfnXLe/PRkS+qWu77txHurDvHS8qNcSyzYh9z9/PPP1K1bF1dXV6pVq8a8efNua11MTAxDhgzB19cXDw8P+vTpQ2RkZIZ5GzZsoFmzZri5uVGhQgXefPPNDA12wzB44403CAgIwM3NjWbNmrFp06YM1zpz5gy9e/fGw8MDX19fQkJCiI2NzTTGrVu34uDgQPHixW/rOYmISMEV5O/JoGYVAZiz7ijHL+bduQLZ2qPY29s7w7iPjw8XL1686dpu3brRpEkTAgICOHLkCFOmTKFly5Zs376dSpUqZbouNjY2XdG8UbRTUlJIScn6LzOGYfD897t54JIDzR0NLhnu7CrVDf/2I6hftWbavOxcuzBISUkhNTW1yD7/zCgv9ikv9ikv9uVUXpTXjApDfb5BPz/2KS/2KS/2KS/2KS//KOnuxMKQYJ4P3c2yXWdZddDGxKV/M71v3Wxf08y8rlu3jp49exISEsJ7773H6tWrGTJkSFrj92b69+/Pnj17mDVrFq6urrz44ot06dKFLVu24Oh4/U/mQ4cO0blzZzp27Mjrr7/Orl27eOGFF3BwcOC5555Lu9abb77J5MmTeeONN6hTpw4ff/wxnTp1YseOHWk1NSkpic6dOwOwcOFC4uLieO655xg4cCDLli3LEJ9hGDz55JP4+flx5cqVnEqZiIjkY6M6VmXZrjOcv5zA9LUn+KZauTx53Cw3iu/EBx98kPbfW7VqRadOnQgMDGT69OnMnDkz03UzZszglVdeyTAeHR2d7YN2etT0YflfXSlXrg6VWvajWnEPAKKiorJ1vcIkNTWVmJgYAKzWLN90XmgpL/YpL/YpL/blVF6io6NzKiQhf9Vn0M9PZpQX+5QX+5QX+5SXjF5sWwb/YhaW7DzPw/V97+jvITPr82uvvUaTJk2YNWsWAG3btuXw4cNMmjTppo3ijRs3snLlSlauXEmnTp0AqF69OkFBQYSGhtKvXz8A3n77bUqUKMG3336Ls7Mz7du3JyoqiilTpvDUU0/h4uJCfHw806ZNY8yYMYwaNQq4XlerVauWrqYuWbKEPXv2sG/fPqpXrw5cf2O3c+fObN68meDg4HQxzps3jwsXLjB48OB0NVtERAovD1cnXrqvBq8v20u3miXz7HGz3Cj28fFJ++Xq32w2W7p9EW+Hv78/LVu2ZOvWrTedN3r0aEJCQtK+joyMJDg4mBIlSuDnl73T/wbd4023WiUo5eeHg4NDtq5RWN24E6BkyZLKzb8oL/YpL/YpL/blVF4SEhJyKqRCo7DUZ9DPT2aUF/uUF/uUF/uUF/vGdi1Bn7pnubts6QJZnxMSElizZg1vvfVWuvEHHniAb775hmPHjlGxYkW7a1esWIG3tzcdO3ZMG6tevTr16tVj+fLlaY3iFStW0KtXL5ydndNdf9q0aWzcuJE2bdqwYcMGYmNj09YAODs706tXL0JDQ9M9Zp06ddKaxAAdO3bE19eX5cuXp2sUX7p0iRdeeIHPP/+cLVu2ZC9BIiJSIN1fx582VUsQF2vDYrHkyWNmuVEcGBiYYa/DmJgYIiMjM+yNmFM8PT3x9PTMMO7g4JDtX2RcncHx/9frl8SMrFarcmOH8mKf8mKf8mJfTuRFOc2osNTnG/TzY5/yYp/yYp/yYp/yYp+Xm3OBrc+HDx8mKSkpQ70LCgoCru/jn1mjOCIigurVq2f4AzwoKCitrl69epWTJ09muH5gYCAWi4WIiAjatGmTNt9eHCdOnODatWu4ubnZPVfAYrHYreUvvfQSDRs25L777lOjWESkiLFYLLi7OBKXh4+Z5UZxly5dmDp1KpcuXUrbC3Hx4sVYrda0j+rcrjNnzrBu3ToefvjhrIYhIiIi/6L6LCIiRZXNZgPIsFe/j48PwE336r+dPf4vXbpk9/rOzs4UK1YsbZ7NZsPFxQVXV9cM1zIMA5vNhpub222fK7Bjxw7mzp3L9u3bM43fHp0hkLeUF/uUF/uUF/uUl8zlRG6ysjbLjeLhw4fz4Ycf0qNHDyZMmMDp06cZO3Ysw4cPp0yZMmnz2rdvz/Hjxzl06BAA33zzDcuWLaNr166UKVOGI0eOMG3aNBwcHBgzZkxWwxAREZF/UX0WEZHC5ManYm7lZoeuFmSGYTBy5EhGjBiR5U8G6QyBvKW82Ke82Ke82Ke8ZC4ncpOVMwSytUfxqlWreOqpp+jRowceHh6EhIQwZcqUdPNSUlJITk5O+/ruu+/mzJkzPPvss2l3O7Vr145XX32Vu+++O6thiIiIyL+oPouISGGyePFihg4dest5+/btS7tz+H/36r9xp/HN9ur38fHh5MmTGcb/vcf/jbt///f6iYmJxMXFpc3z8fEhISGB+Pj4dHcV22zX95a8EefNzhUoX748AIsWLWLfvn0sXLgw7Y7m+Ph44Podzq6urhnuXL5BZwjkLeXFPuXFPuXFPuUlczmRm6ycIZDlRjFc32MpPDz8pnPWrl2b7uumTZuyZs2a7DyciIiI3AbVZxERKSxCQkLSNTtvJiEhAScnJyIiIujcuXPaeGZ7Bv9bYGAg4eHhGIaRbp/iiIgIateuDYC7uzvly5fPsH/w/v37MQwj7fo3/nP//v3UrVs33bUCAgJwc3NLm7d79+501zIMg/3796cdqhcREYHNZrO7t7KPjw/PP/88b7zxht3npDME8p7yYp/yYp/yYp/ykrk7zU1W1ul+bhERERERESmwXFxcaNu2LUuWLEk3vmjRIoKCgjI9yA6u7/Fvs9lYtWpV2tiBAwfYvn07Xbt2TTdv6dKlJCUlpbu+t7c3zZs3B6B58+Z4enqyePHitDlJSUmEhoZmuNbOnTs5ePBg2tiqVauIjo5Om/foo4+yZs2adP8GDRqEq6sra9as4fHHH89ilkRERG4tW3cUi4iIiIiIiOQXEydOpE2bNowYMYJ+/fqxZs0aFi5cyKJFi9LNc3R0ZNCgQcydOxeAZs2a0blzZwYPHsw777yDq6srL774InXq1KFXr15p68aOHcuCBQsYMGAAI0aMYPfu3bz99ttMmTIFZ2dnAFxdXRk/fjwvv/wyfn5+1K5dm5kzZxIdHc1zzz2Xdq0+ffowdepUevfuzdSpU4mLi+O5557j3nvvJTg4GICKFStmaHCvXbsWBwcH2rRpkwsZFBERUaNYRERERERECriWLVsSGhrKSy+9xNy5cwkICGDOnDn07ds33byUlJQMp78vWrSI0aNH8/jjj5OcnEynTp348MMPcXT858/lKlWqEBYWxujRo+natSt+fn688sorGQ5+ff755zEMg+nTpxMVFUW9evVYuXJlukP3nJyc+OWXX3j66acZMGAAjo6O9OrVi3fffTcXMiMiInL71CgWERERERGRAq9bt25069btpnMMw8gw5uXlxdy5c9PuMs5M8+bN2bRp003nWCwWxo8fz/jx4286r2zZsnz//fc3nfO/Xn75ZV5++eUsrREREckK7VEsIiIiIiIiIiIiUsSpUSwiIiIiIiIiIiJSxBXIrSeSk5MBiIyMzPY1UlJSiI6OJiEhAQcHh5wKrVBQbuxTXuxTXuxTXuzLqbzceP2/UQ8kf8iJ+gz6+cmM8mKf8mKf8mKf8mKf6nPhpvqcu5QX+5QX+5QX+5SXzOVEbrJSnwtkozgqKgog7URYEREpmqKiojKcCC7mUX0WERFQfc5vVJ9FRARurz5bDHu7+edz8fHx7N69Gz8/v3Qn0WZFZGQkwcHBbN68GX9//xyOsGBTbuxTXuxTXuxTXuzLqbwkJycTFRVF7dq1cXV1zcEI5U7kRH0G/fxkRnmxT3mxT3mxT3mxT/W5cFN9zl3Ki33Ki33Ki33KS+ZyIjdZqc8F8o5iV1dXGjdunCPX8vf3p1y5cjlyrcJGubFPebFPebFPebEvJ/KiO5Xyn5ysz6Cfn8woL/YpL/YpL/YpL/apPhdOqs95Q3mxT3mxT3mxT3nJ3J3m5nbrsw6zExERERERERERESni1CgWERERERERERERKeKKbKPY09OTyZMn4+npaXYo+Y5yY5/yYp/yYp/yYp/yIrdD3yf2KS/2KS/2KS/2KS/2KS9yO/R9Yp/yYp/yYp/yYp/ykrm8zk2BPMxORERERERERERERHJOkb2jWERERERERERERESuU6NYREREREREREREpIhTo1hERERERERERESkiFOjWERERERERERERKSIK5SN4oiICDp27Ii7uzulS5dm3LhxJCYm3nKdYRi88cYbBAQE4ObmRrNmzdi0aVMeRJx3spObyMhIxo0bR7169fDw8KBcuXIMHDiQ48eP51HUuS+73zP/9t5772GxWLjvvvtyKcq8dyd5OX36NIMGDcLPzw83NzeCgoJYsGBBLkecN7Kbl+joaIYPH05AQADu7u7UqlWLWbNm5UHEeePQoUMMHz6cevXq4ejoSK1atW5rXVF47ZV/qEbbp/psn+qzfarP9qk+26f6LLdD9dk+1Wf7VJ/tU322T/XZvnxbn41C5uLFi4a/v79xzz33GL/88osxd+5cw8vLyxg5cuQt106bNs1wdnY2ZsyYYYSHhxs9e/Y0PDw8jMOHD+dB5Lkvu7n5+eefjcqVKxtTpkwxVq1aZSxatMioVauWUapUKeP8+fN5FH3uuZPvmRsiIyMNb29vo1SpUsa9996bi9HmnTvJy5kzZ4zy5csbHTp0MEJDQ43w8HDj/fffN+bOnZsHkeeuO8lL27ZtDX9/f2PevHnGqlWrjDFjxhiAMXv27DyIPPf9+OOPRrly5YzevXsbtWvXNmrWrHlb6wr7a6/8QzXaPtVn+1Sf7VN9tk/1OXOqz3Irqs/2qT7bp/psn+qzfarPmcuv9bnQNYqnTp1quLu7G9HR0Wljn376qeHg4GCcPn0603XXrl0zPD09jfHjx6eNJSQkGBUqVDCeeOKJXI05r2Q3NzabzUhKSko3dvLkScNisRjTp0/PtXjzSnbz8m8PP/yw8cgjjxitW7cuNIXuTvLy0EMPGc2bNzeSk5NzO8w8l928REZGGoAxb968dOP33HOP0a5du9wKN0+lpKSk/fdBgwbdVqErCq+98g/VaPtUn+1TfbZP9dk+1efMqT7Lrag+26f6bJ/qs32qz/apPmcuv9bnQrf1xIoVK+jQoQO+vr5pY/369SM1NZWwsLBM123YsIHY2Fj69euXNubs7EyvXr1Yvnx5rsacV7KbG29vbxwdHdONlStXDj8/P86cOZNr8eaV7OblhnXr1vHjjz/yxhtv5GaYeS67eYmNjeW7775jxIgRODg45EWoeSq7eUlKSgLAy8sr3biXlxeGYeROsHnMas16SSkKr73yD9Vo+1Sf7VN9tk/12T7V58ypPsutqD7bp/psn+qzfarP9qk+Zy6/1udC1yiOiIggMDAw3Zi3tzf+/v5ERETcdB2QYW1QUBAnTpzg2rVrOR9sHstubuw5cOAA58+fJygoKCdDNMWd5CUlJYUnn3ySF198EX9//9wMM89lNy/btm0jMTERJycnWrdujZOTE6VLl+b5559Pe7EvyLKbl/Lly9OpUyemTp3K3r17uXz5Mt999x1hYWGMHDkyt8POt4rCa6/8QzXaPtVn+1Sf7VN9tk/1OWcV9tddSU/12T7VZ/tUn+1TfbZP9Tln5cXrbqFrFNtsNry9vTOM+/j4cPHixZuuc3FxwdXVNcM6wzCw2Ww5HWqey25u/pdhGDz99NOUKVOGAQMG5GCE5riTvMycOZOrV68yatSoXIrOPNnNy9mzZwEICQmhUaNGhIWFMWrUKN577z0mTZqUW+HmmTv5fgkNDeWuu+6iZs2aeHp6MnDgQN5991169+6dS9Hmf0XhtVf+oRptn+qzfarP9qk+26f6nLMK++uupKf6bJ/qs32qz/apPtun+pyz8uJ11/HWU0TSe/nll1m1ahW//PIL7u7uZodjmvPnzzNp0iS+/PJLnJ2dzQ4n30hNTQWgQ4cOvPPOOwC0bduWy5cvM336dCZNmoSbm5uZIZrCMAwee+wxDh48yMKFC/H39+fXX3/l2WefxcfHhwceeMDsEEWkgFN9vk712T7VZ/tUn0Ukt6k+X6f6bJ/qs32qz+YpdI1iHx8fYmJiMozbbLZ0e6LYW5eQkEB8fHy6zrzNZsNiseDj45Mr8eal7Obm3z777DNeffVV5s6dS/v27XM6RFNkNy+TJk2iTp06tGrVikuXLgGQnJxMcnIyly5donjx4hn2pipI7uRnCaBdu3bpxtu3b8+UKVM4dOgQtWvXztlg81B28/Lf//6XxYsXs2vXrrTn36ZNG86fP8+YMWOKbKErCq+98g/VaPtUn+1TfbZP9dk+1eecVdhfdyU91Wf7VJ/tU322T/XZPtXnnJUXr7uFbuuJwMDADPucxMTEEBkZmWEPj/9dB7B///504xEREQQEBBSKd3Cym5sbfvjhB5544gleffVVBg8enFth5rns5iUiIoLff/8dHx+ftH/r169n5cqV+Pj4EB4entuh56rs5qVGjRo3vW58fHyOxGeW7OZl7969ODg4UKtWrXTj9evX58yZM8TFxeVKvPldUXjtlX+oRtun+myf6rN9qs/2qT7nrML+uivpqT7bp/psn+qzfarP9qk+56y8eN0tdI3iLl26EB4envYOFcDixYuxWq106tQp03XNmzfH09OTxYsXp40lJSURGhpK165dczPkPJPd3ACsXbuWAQMGMHToUCZOnJjLkeat7OblvffeY82aNen+1a1bl6ZNm7JmzRqCg4PzIPrck928VKhQgdq1a2co9L/++itubm63LIT53Z3kJSUlhV27dqUb37p1K6VKlaJYsWK5FXK+VhRee+UfqtH2qT7bp/psn+qzfarPOauwv+5KeqrP9qk+26f6bJ/qs32qzzkrT153jULm4sWLhr+/v9G6dWtj5cqVxueff254e3sbI0eOTDevXbt2RuXKldONTZs2zXBxcTHee+89Y9WqVUbv3r0NDw8P4/Dhw3n5FHJNdnOzd+9ew8vLy6hVq5axfv16Y+PGjWn/Dh06lNdPI8fdyffM/2rdurVx77335ma4eeZO8vLTTz8ZFovFeOaZZ4ywsDBjypQphpOTk/Hiiy/m5VPIFdnNS2xsrBEQEGBUqVLF+Oqrr4zw8HBj3LhxhtVqNV577bW8fhq54urVq8bixYuNxYsXG23atDHKly+f9vX58+cNwyiar73yD9Vo+1Sf7VN9tk/12T7V58ypPsutqD7bp/psn+qzfarP9qk+Zy6/1udC1yg2jOsvzO3btzfc3NyMUqVKGc8995yRkJCQbk7r1q2NChUqpBtLTU01pk6dapQrV85wcXExmjRpYmzYsCEPI8992cnNvHnzDMDuv0GDBuXtE8gl2f2e+V+FqdAZxp3l5dtvvzVq1qxpODs7GxUqVDCmTp1qpKam5lHkuSu7eTl48KDRr18/o0yZMkaxYsWMmjVrGu+9956RnJych9HnnqNHj2b6WrFmzRrDMIrua6/8QzXaPtVn+1Sf7VN9tk/12T7VZ7kdqs/2qT7bp/psn+qzfarP9uXX+mwxDMPImXuTRURERERERERERKQgKnR7FIuIiIiIiIiIiIhI1qhRLCIiIiIiIiIiIlLEqVEsIiIiIiIiIiIiUsSpUSwiIiIiIiIiIiJSxKlRLCIiIiIiIiIiIlLEqVEsIiIiIiIiIiIiUsSpUSwiIiIiIiIiIiJSxKlRLCIiIiIiIiIiIlLEqVEsUsD8+OOPzJw50+wwRERE5F9Un0VERPIn1WiR26dGsUgBoyInIiKS/6g+i4iI5E+q0SK3T41iERERERERERERkSJOjWKRAuTRRx9l/vz57NmzB4vFgsVi4dFHHzU7LBERkSJN9VlERCR/Uo0WyRpHswMQkds3ceJEoqKiiIiIYMGCBQD4+fmZHJWIiEjRpvosIiKSP6lGi2SNGsUiBUjlypXx8/Pj+PHjNG3a1OxwREREBNVnERGR/Eo1WiRrtPWEiIiIiIiIiIiISBGnRrGIiIiIiIiIiIhIEadGsYiIiIiIiIiIiEgRp0axSAHj7OxMfHy82WGIiIjIv6g+i4iI5E+q0SK3T41ikQImKCiIY8eO8c0337BlyxaOHTtmdkgiIiJFnuqziIhI/qQaLXL7LIZhGGYHISK3LzY2lmHDhvHrr78SHR3NoEGD+OKLL8wOS0REpEhTfRYREcmfVKNFbp8axSIiIiIiIiIiIiJFnLaeEBERERERERERESni1CgWERERERERERERKeLUKBYREREREREREREp4tQoFhERERERERERESni1CgWERERERERERERKeLUKBYREREREREREREp4tQoFhERERERERERESni1CgWERERERERERERKeLUKBYREREREREREREp4tQoFhERERERERERESni1CgWERERERERERERKeLUKBYREREREREREREp4tQoFhERERERERERESni/g8uJF7/LZhJLQAAAABJRU5ErkJggg==", + "image/png": 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" ] }, "metadata": {}, @@ -182,42 +188,85 @@ } ], "source": [ - "fig, axes = plt.subplots(1, 3, figsize=(13, 4))\n", - "axes[0].plot(tg, P, label='numeric'); axes[0].plot(tg, P_an, '--', label='analytic')\n", - "axes[0].set_title('Riccati P(t)'); axes[0].set_xlabel('t'); axes[0].legend(); axes[0].grid(alpha=0.3)\n", - "axes[1].plot(tg, x); axes[1].set_title('state x(t)'); axes[1].set_xlabel('t'); axes[1].grid(alpha=0.3)\n", - "axes[2].plot(tg[:-1], u); axes[2].set_title('feedback u(t) = -(b/r) P(t) x(t)'); axes[2].set_xlabel('t'); axes[2].grid(alpha=0.3)\n", + "s_values = [0.1, 0.5, 2.0, 5.0]\n", + "T_values = [0.5, 1.0, 2.0, 5.0, 10.0]\n", + "P_star = 1.0 + np.sqrt(2.0)\n", + "\n", + "fig, ax = plt.subplots()\n", + "for s in s_values:\n", + " p0s = []\n", + " for T_ in T_values:\n", + " r = opt.pontryagin_lqr(1.0, 1.0, 1.0, 1.0, s, 1.0, T_, 200)\n", + " p0s.append(r['riccati'][0])\n", + " ax.plot(T_values, p0s, 'o-', lw=2, label=f's = {s}')\n", + " print(f\"s = {s:4.1f} : P(0) à T=10 = {p0s[-1]:.4f}\")\n", + "ax.axhline(P_star, ls='--', color='black',\n", + " label=f'P* = {P_star:.3f}')\n", + "ax.set_xlabel('horizon T'); ax.set_ylabel('P(0)')\n", + "ax.set_title(\"Convergence vers le point fixe Riccati\")\n", + "ax.legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "6c10852e", + "id": "7cd43961", "metadata": {}, "source": [ - "## Two-sided intensity control\n", + "**Résultat attendu.** Toutes les courbes convergent vers\n", + "$P^* \\approx 2.414$ pour $T$ grand.\n", "\n", - "Affine premium $δ_±(λ) = α_± + κ_± λ$. First-order condition: $\\lambda^*_\\pm = \\max(0, (α_\\pm - ΔV_\\pm) / (2 κ_\\pm))$." + "**Lecture du graphique.** L'effet du terminal $s$ s'estompe quand $T$\n", + "augmente.\n", + "\n", + "**Conclusion.** En horizon long, le coût terminal devient négligeable.\n" + ] + }, + { + "cell_type": "markdown", + "id": "65d4c5e1", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : stabilisation d'un pendule inversé\n", + "\n", + "**Modèle physique.** Pendule inversé linéarisé autour de la verticale\n", + "$\\ddot\\theta = (g/\\ell)\\theta + (1/m\\ell^2) u$. Pour le mode\n", + "sur-amorti $(\\dot\\theta \\equiv 0)$ on retient l'équation scalaire\n", + "$\\dot\\theta = a\\theta + bu$ avec $a = g/\\ell$, $b = 1/(m\\ell^2)$.\n", + "\n", + "**Équation pivot (Riccati).** $P$ vérifie $-\\dot P = 2aP - (b^2/r)P^2 + q$.\n", + "\n", + "**Ce que la cellule vérifie.** Le contrôleur LQR ramène l'angle\n", + "initial $0.3$ rad vers $0$.\n" ] }, { "cell_type": "code", - "execution_count": 6, - "id": "61395265", + "execution_count": 4, + "id": "7aabb9b7", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:08.275395Z", - "iopub.status.busy": "2026-05-12T10:16:08.274998Z", - "iopub.status.idle": "2026-05-12T10:16:08.557818Z", - "shell.execute_reply": "2026-05-12T10:16:08.555785Z" + "iopub.execute_input": "2026-05-12T14:05:31.162225Z", + "iopub.status.busy": "2026-05-12T14:05:31.161917Z", + "iopub.status.idle": "2026-05-12T14:05:31.762984Z", + "shell.execute_reply": "2026-05-12T14:05:31.761885Z" } }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Angle initial : 0.300 rad (17.2°)\n", + "Angle final : 5.955e-25 rad\n", + "Effort max : 6.177\n" + ] + }, { "data": { - "image/png": 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", + "image/png": 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MnDix2PuNHz9ekMvlxT6LLbH03JeQkCD4+voKgwYNKnYfAIRXXnnF7PiRI0cEuVxu9vxUGLNMJhMOHTpk1n7ixInFnlPL+zy7atUqAYDw6quvml3z4MGDgkwmK/YzsNT3he7vZ2v1aUhIiBAWFmbxtcLniGvXrpV4/okTJwQAwqOPPlrme7Vs2VIAID4/F/b7yJEjhcTERCExMVE4e/assHTpUkGtVgseHh7C7du3LV7r66+/FgAI33zzTZnvSyQVThWkGq1BgwY4fvw4Jk6cCFdXV/zwww+YNm0aunXrhkaNGmHXrl3lvpZOpxNHARUUFCAlJQVJSUno168fAFgs+Dly5EiEhISI+3K5XJxX/8MPP1Tl1kReXl6Ij4/Hr7/+Wmo7V1dXcTsnJwfJyclISUnBww8/jPT0dJw5c6bSMRTey6xZs8y+YfP398crr7yCtLQ0xMTEmJ0TFBSEESNGmB0r7MuzZ8+W6z29vLwwbtw4s+NPP/00GjduXKn7KK9x48bBy8tL3NdoNHjjjTdgNBqxZcsWAMDJkydx7NgxPP300zAajUhKShL/NGjQAI0aNcLOnTuLXfv11183G21Wt25dNG3a1KxPdu3ahaysLIwfP95sxJZOp8PkyZOtfr/p6en43//+h0GDBsHDw8PsXtzc3PDggw9avJeKGD9+vFkRc1dXV3Tu3NnsvuVyOZ577jmcO3cOBw4cEI9fu3YNe/fuxdChQ+Hu7g4A2L17N27evInRo0cjMzPTLOYePXrAxcXFYszTpk0rNnWy8GcdHR2NgoICi/ELgoBvvvkGnTt3RsOGDc3eT6/Xo3///vj9999LnVZMREQVl56eDg8Pj3K3T0xMxO+//45+/fqha9euZq9NnjxZfF6sCnd3d0yYMMHs2OOPP45mzZph8+bNMBqNJZ67bt06CIKAF154weyzJCkpCY899hiMRiN2795dZgymz32ZmZlITk6GUqnEAw88UGKR+pkzZ5rtd+jQAQMGDMCvv/5arMRBv379EB4ebnascDR0Zfqv8Jz7Y+jcuXOJJT/Ky1p9mpiYWOKopvJIT08HgGKj7S0pbJOZmWl2/JtvvoG/vz/8/f3RpEkTvPrqq2jbti1iYmLg7+9v8VqFMd++fbvSsRPZGhNXVOOFhIRg6dKluHjxIm7duoUtW7bgmWeeweXLl/H444+Xu6aSwWDA+++/L9ar8vX1hb+/v1g3ydLStc2bNy/xWEVqOZVm4cKFcHV1Rc+ePVG7dm08+eSTWLlypfjhWCgpKQnjxo1DUFAQXFxc4OfnB39/f/Ehw1L85XXx4kUAQKtWrYq9Vnjs/roODRo0KNa28IM1OTm5zPe8cOECGjVqZHGFOkv9bk3l+bnGxsYCuPvzKXzAMP1z5swZ3Lp1q9h1SuoX0z4p7EtLcViql1BVZ8+ehdFoxLp16yzey+7duy3eS0WU574BiFMBTetifPXVVzAajWbTBAv7f9y4ccXirVWrFrKzsy3GbGk6wvjx49GxY0dMmDAB3t7e6NevHxYsWIBLly6JbQofgH/77TeLffTll1/CYDAUe/AnIqKq8fT0LPbLfWlKe2ZxcXFBw4YNK1SLypKGDRtaXFG2efPmyMjIQGJiYonnFn5+tWnTpthnSf/+/QGgXJ+5//77LyIiIuDh4QEPDw/xuW/btm0Wn/m8vLwQFBRkMWag+HOcpWeQWrVqwdfXt1LPuBcuXICfnx9q1apV7LWqPttYq08BVKlOVGEy6v5ndEvS09Mhl8uLFWcfOHAgfvnlF+zcuROff/45GjdujPj4+FKL3RfGXNmC8kTVgTWuiEzUqlULQ4YMwZAhQ1CvXj2899572LBhA956660yz508eTI+/vhjDBs2DNOmTROLPcfHx2P06NGlfntmSw888ADOnz+P3bt3Y+/evfj111+xceNGzJ49G7/99hvCwsIgCAIGDBiAEydOYMKECejUqRO8vb2hUCiwbds2fPTRR9Uef2m1D6ryUFCSkj6s7y+Uby2F/TlhwgQ89thjFtvodLpix0rql6r0SWkPKuW5/8J7GT58OMaOHVvpOEpT3loYDRs2RPfu3fH999/jk08+gU6nw9q1axEaGopevXoVi3nBggXFvhEu5O3tXeyYpZomPj4+OHToEA4ePIjdu3fj999/x7x58zBv3jx8/fXXeOqpp8T369GjB2bNmlVi/CV9G0pERJXTqlUr7Nu3D+fPn0ejRo2sfv2qfoZWVOHnydatWy0mvwDLX/aYun79Orp16wY3NzfMmDEDYWFhcHV1hVwux8KFC7Fnzx6rx13dKvJcZ40+Be5+hpfny9WSNG7cGFqtFkePHoUgCCXeQ1ZWFs6cOYOQkBCoVCqz14KCgsRi7AAwZMgQtGrVCo8//jhOnDhhMYFVGLOlpCCRvWDiiqgEhUUp4+PjxWOlPZx89dVX6N69O6Kjo82Ob9++vcRzTp8+XeIxaz5cubi44LHHHhMTJDt27MDAgQPx3nvvYc2aNThx4gT+/vtvzJo1C/Pnzzc719KqfxX9RqawGPqpU6fwwAMPmL128uRJszbW0rBhQ5w/fx75+fnFRl1Z6ncfHx+L3zAWfvNaEadPny5WVPP+n6vpyB3TBwxrKOzL06dPF1vZ5tSpU8Xa+/j4ALA8qq4899+oUSPI5XLk5ORY/V4qY/To0XjhhRewefNmseD97Nmzzf7eFva/Vqu1SsxyuRzdunVDt27dANydnti+fXtMmzYNTz31FPz9/eHl5YXU1FS76CMiopriySefxL59+/DFF19g0aJFZbYvTFBY+rzMycnBxYsXzZ7RTD9D71/F7uLFixZHfl+4cAF5eXnFkiSnT5+Gh4dHqV9iNGnSBDt27EBgYGClF/TYtGkTMjMzsWXLFvTu3dvstfsXNymUlpaGGzduFBt1Vfh8c/9znKVnrdu3byM5ORmdO3eucMwNGzbEmTNncPv27WIJlpKebY4ePVrsuKXnGmv0KQC0bNkSMTExKCgoKJZQKg+NRoNHH30U0dHR+Omnn0r8YnP16tUoKCgotrCRJQEBAZg3bx7GjRuHJUuWFJtqCRStNmhplCGRveBUQarR9u3bV2zZ+0KbN28GYD7U2c3NDYDlX/AVCkWxUS8FBQVYuHBhie//zTff4MqVK+K+0WgU2z/xxBPlvIvSWRpu3qFDBwBF37AUjma5P/4bN25YXAa4tH6wpPBe3n33XbORW0lJSfj000/h5eVV5foElt4zLS0NK1asMDu+YcMGi8sBN23aFHFxcWaJSqPRiMWLF1f4vVesWIG0tDRxPy8vD4sXL4ZcLhcTWm3btkWrVq2watUqcYi6KUEQSp0qUJr+/fvD1dUVy5cvNxtunpuba3Hp5MIkzv31G37//Xf8+eefZb6fr68vBg0ahJ9//hl79+612KaqUwUrYvjw4XB1dcWaNWuwZs0ai8teDxgwAAEBAfjggw9w8+bNYtfQ6/Xl/vtt6edUt25dBAQEiP/G5HI5Ro4ciRMnTuCrr76yeJ3q7CMioprihRdeQMuWLbFkyRJ89913FtvEx8dj+vTpAO6OmunevTt27tyJw4cPm7VbvHgxsrKyMHToUPFY06ZNART/DP3mm2+QkJBg8f0yMzOxbNkys2ObN29GbGwsIiIiSl05+dlnnwUAzJgxw2JdxfT0dOTl5ZV4PlDyc9/27duL3bOpd99912z/6NGj2LlzJ3r06FFsytovv/xS7FoLFiwAULlnXNNnSVN//PFHsTqpwN2fS2ZmZrEYPvjgg2JtrdGnANCzZ0/k5ubi77//LrNtSebNmwcXFxdERUVZfD78448/8OabbyIoKAivvPJKua4ZGRmJevXq4cMPP7Q4DfGPP/6An58fWrZsWem4iWyNI66oRvv444+xd+9eDB48GB06dIC3tzeSkpLw888/49dff0XLli0xZswYsf2DDz6I5cuXY9y4cXjkkUegUqnwwAMPoH79+njyySfx2WefYdiwYejfvz9SUlKwbt06i9O9CjVr1gwPPPAAXn75Zfj4+GDLli3Ys2cPnn76abNpTVVR+B7h4eEIDg5GSkqK+IvzqFGjAABhYWFo2bIlFi1ahKysLLRo0QKXLl3C559/joYNGxb7Bb5Tp06Qy+VYsGABUlNT4erqivr16xcbTVWod+/eePbZZ/H111+jV69eePzxx5GVlYX/+7//w+3bt7F27VoxGWYtkydPxvr16zFp0iT8+++/6NSpE06fPo0vv/wSrVq1wokTJ8zaT5w4EevXr0fv3r0RFRUFQRDw/fffV2q+f0BAADp16oQxY8ZArVZj/fr1OHr0KKZPny5+SyuTyfDNN9+gd+/eaN++PUaPHo1WrVqhoKAAly9fxpYtWzBq1CjMnTu3wu/v6emJ999/H+PHj0enTp3w/PPPQ61W45tvvrE45a5p06YYMGAAVq5cCYPBgA4dOiA2NhZr1qxB69atcfz48TLfc+XKlejWrRv69euHZ555Rvw7cuXKFWzbtg0dO3Y0qztlS25ubhg6dCi++eYbuLi4oEePHqhfv75ZGxcXF3z99dcYMmQImjVrhueffx5hYWHIzMzEhQsXsGnTJrz33nvFEl6WvPjii7h69Sr69++P0NBQ6PV6bN26FadOncL48ePFdgsWLMDBgwcxevRobNmyBd27d4erqyuuXr2KmJgY6HS6EhN/RERUORqNBj///DMGDx6Mp59+GitWrMDAgQMREBCAjIwM/PHHH9iyZQvatm0rnvPJJ5+gR48e6N27N15++WU0aNAA+/fvx7fffos2bdpg0qRJYtu+ffuiefPmmDVrFm7fvo3GjRvjyJEj+N///odGjRpZTIQ0bNgQ7777rjgSPTY2Fp999hn8/f3xzjvvlHo/HTt2xDvvvIO33noLLVu2xIgRIxAcHIzbt2/jxIkT+PHHH3H69Olio79MDRw4EK6urnj22WfxyiuvwM/PD3///TfWrVtn8RkJAPz8/LB161bEx8ejX79+uHbtGj799FNotVp8/PHHxdq3a9cOffv2xbhx41CvXj3s3r0bmzdvRrdu3fDcc8+Veo+WjBo1CqtWrcLSpUtx7do19OnTB1evXsWnn36Kdu3aFUsWvfTSS1i8eDEiIiLw6quvwsXFBT///LPFxI01+hSAWC5k69atJT4Tf/LJJxYXC2jVqpX4TLJx40YMHz4c7du3x7PPPouOHTvCYDDgwIED+O677+Dv74///e9/CAgIKFffqVQqzJw5E1FRUVi8eLHZ7Ir09HTs378fzz//PGtckX2TYilDInvx559/ClOmTBHCw8OFgIAAQalUCu7u7kKHDh2E+fPnCxkZGWbtDQaD8MYbbwh16tQR5HK52VK92dnZwrRp04SQkBBBrVYLoaGhwowZM4TY2NhiSxmbLvP76aefCk2bNhXUarVQt25dYdasWUJ+fr7Z+1paarm8ywcvXLhQeOihh4RatWoJKpVKqF27tvDwww8Lu3btMnuPK1euCE8//bRQq1YtQavVCm3atBFWrVpl8X0EQRDWrFkjNGvWTFCpVGbLCltaurmw7z7++GOhVatWgkajEdzc3IRevXoJO3fuLPZzCQkJMVtauVBJ1y7JjRs3hJEjRwre3t6CTqcTunTpIuzZs0dckvh+69atE++pTp06wowZM4S4uLhyv2dhX/3yyy/C/PnzhdDQUEGlUgmNGzcWPv74Y4vnXLt2TXjllVeEBg0aCGq1WvDy8hJatWolvPrqq8KpU6fEdhVdblsQBOGbb74RWrVqJajVaiEwMFB4/fXXhVOnTlm8n1u3bglPP/204OnpKbi4uAg9evQQDh48aLGvSuq/lJQUYfr06UJYWJig0WgEd3d3ISwsTBg7dqzw559/lrv/TP+ulfT3r7Q4BKHo38L9/x7uFxsbK4waNUoIDg4WVCqV4OfnJ3To0EGYMWOGcPXq1XK91w8//CAMGTJEqFu3rqDRaARvb28hPDxcWLlypWAwGMzaZmdnC++++67Qpk0bQafTCa6urkKjRo2E//znPxb/LRARkXXk5uYKn332mdCrVy/B19dXUCqVgre3t9C9e3fhww8/FNLS0szanz59Whg+fLjg5+cnqFQqISQkRJg0aVKxdoIgCOfPnxcGDRokuLq6Cu7u7sKgQYOE2NhYi5/Phc84x44dE/r16ye4ubkJ7u7uwpAhQ4Rz586ZtS3tuWfHjh3CoEGDBF9fX0GlUglBQUFCr169hMWLFws5OTll9sf+/fuFHj16CB4eHoK7u7vQu3dvYf/+/RY/7wrv49KlS8ITTzwhPiv07t1b+Ouvv0qM+fvvvxfatm0raDQaISAgQJgwYUKxZ+vyPs8KgiCkp6cL48ePFwICAgSNRiO0bdtW+P7770t8Rtq5c6fQoUMHQa1WC/7+/kJUVJSQlpZm9txqzT4VBEF49NFHhXr16glGo9HseGG/lvTnP//5j1n7q1evCq+++qrQtGlTQafTie06dOggpKenF3vfwn5/4YUXLMaVl5cn1KtXT3B3dxeSkpLE41988YUAQDhx4kS57o9IKjJBsEGVYyKiGmjNmjV4/vnnsXfvXnE1SSIiIqJCoaGhCA0Nxb59+6QOpdx69uyJy5cv4/Lly2W2vXz5MurXr485c+ZUatR4ZcydOxfz5s3DpUuXyhwVZWtHjx5Fp06d8N133+HJJ5+02nXv3LmDRx55BL/++is+/fRTjBs3rsrXNBqNaNWqFZo3b16sRi+RvWGNKyIiIiIiIqIq6tChA0aPHo05c+ZYdUVuV1dX/Pzzz3jooYcwfvx4fPHFF1W+5rp163DhwgWLdb+I7A1rXBERERERERFZwZdffmmT67q6ulp1pN6zzz4rFqYnsncccUVERERERERERHaJNa6IiIiIiIiIiMguccQVERERERERERHZJSauiIiIiIiIiIjILjFxRUREREREREREdomrClZBbm4uTpw4AX9/fyiV7EoiIqKaTK/XIzExEa1atYJWq5U6HLvCZyYiIiIyVZHnJj45VMGJEycQHh4udRhERERkRw4fPoxOnTpJHYZd4TMTERERWVKe5yYmrqrA398fwN2ODgwMtOq1DQYDkpOT4evrC4VCYdVrU+nY99Jgv0uD/S4d9r00bNnvCQkJCA8PF58PqIgtn5kA/nuSCvtdOux7abDfpcO+l4a9PDcxcVUFhUPdAwMDERwcbNVrGwwGaDQa+Pv78x9mNWPfS4P9Lg32u3TY99Kojn7nVLjibPnMBPDfk1TY79Jh30uD/S4d9r007OW5icXZiYiIiIiIiIjILjFxRUREREREREREdomJKyIiIiIiIiIisksswkBERFQDCIKApKQk5ObmwmAwSB2OZARBQG5uLnJyciCTycp9nkKhgFarhZ+fX4XOIyIiIqKqYeKKiIjIyQmCgPj4eGRmZkKtVtfooqYymQwajabCyaf8/HxkZWUhLy8PderUYfKKiIiIqJowcUVEROTkkpKSkJmZiVq1asHX11fqcCQlCAL0ej2USmWFk0/Jycm4ffs2kpKSyrV0MxERERFVnV3WuIqLi0O/fv3g6uqK2rVrY+rUqcjPzy/zvJEjR6Jx48ZwdXWFt7c3evTogV27dhVrl56ejhdeeAE+Pj5wd3fHsGHDkJCQYItbISIiklxubi7UanWNT1pVla+vL9RqNXJzc6UOpVpV9rmMiIiIyBrsbsRVamoqevfujcaNG2PTpk2Ij4/HpEmTkJ2djeXLl5d6bn5+PiZNmoTGjRsjNzcXq1atwqBBg7B37150795dbPfUU0/h1KlTWLlyJbRaLd58800MHDgQR44cgVJpd11CRERUJQaDoUZPD7QmhUJRo2qEVeW5jIiIiMga7C5Ls3LlSmRkZGDz5s3w8fEBAOj1eowbNw4zZ85EUFBQied+//33ZvsDBw5E/fr18fXXX4uJqz/++AM7d+7Ezp070b9/fwBA06ZN0axZM2zatAnDhw+30Z0REREROZaqPJcRERERWYPdTRXcvn07+vbtKz4cAcDw4cNhNBotTvsrjUKhgJeXl9lw9u3bt8PLywv9+vUTjzVt2hRt27bFtm3bqn4DRERERE7Cms9lRERERJVhdyOu4uLiMGbMGLNjXl5eCAwMRFxcXJnnC4IAg8GA9PR0rF69GufOncPnn39udv2mTZsWK8jarFmzcl2/OuRduIDUjRuRnZaOlIYN4B8ZKXVIREREVANV9bmMKi/fkI87BXfEP9n6bGQXZKPAWAC9UY8CY0HRtqEAeqHov8DdZ2KjYIQAAYIgQEDxfUEQYIQREFD0GoRyxygYBeTk5EB3RQeZvHyLHQhC+a9PJTMKRuRk3+17uczuxiI4Lfa7dNj30jAKRuhz9ZjpP1PSOOwucZWamgovL69ix729vZGSklLm+atWrcLYsWMBAG5ubvjuu+/QuXNnq1w/IyMDGRkZ4n5hQXeDwWDVehd5164hdfWauztt2sDn+eetdm0qm8FggNForFE1TOwB+10a7HfpVGffC4IAmUzGXxhxty8K/1TlGpZ+bs7476iyz03V9cxUyNH+X1ZgKMDVzKu4nHEZlzIu4eadm0jKSUJybvLd/+YkI9/IAvhERCQ9nUKHaYZpVr9uRT6z7S5xVVURERFo27YtkpKSEB0djeHDh2Pz5s0YOHBgla+9ZMkSzJs3r9jx5ORkaDSaKl+/UEFOTtH2nTtITEy02rWpbEajEenp6QAAuZzZ/OrCfpcG+1061dn3ubm50Gg00Ov1Nn2f6nb8+HHMmDEDBw8ehJeXFyZPnozx48ebtenSpQueffZZvPzyywDuJp0uXryIdevW4bXXXoOHhwcAICoqCsDdmk6lMRqNyMvLs/jZnJycbI3bcgrV9cxUyN7/X5aWn4a/k//GydSTOJV6CpfvXIZRMEodFhERUZkEQUBSUpLVP18r8txkd4krb29v8cHDVGpqqll9hZL4+fnBz88PAPDwww8jJSUFU6ZMERNX3t7euHbtWqWuP2nSJESaTNtLSEhAeHg4fH194e/vX2Zs5ZVTqxay7m0rjEarXpvKVpj59fPz4ypc1Yj9Lg32u3Sqs+9zcnIgk8mcauXcP/74A/3790dkZCRmzpyJrVu3YtKkSWjfvj169OgBANi8eTOuXLmCyMhI8d4FQcC+ffuwePFizJ07V3wImz59Olq2bIlp06ahcePGJb6vXC6HVqu1+Nmcl5dngzuVVmWfy6rrmamQPf6/LD0vHTsu70DMtRgcuXWkUokqhUwBF5ULXJWucFG5wEXpArVCDZVcBaVcKf7XbFumBGSAHHLIZDLIICv6L2TiFBu5zPLr95fTKI0gCMjOzoaLi4vF82Qo/7VKU5GYyryWlWKSmlEwIvtONlxcXThtqhqx36XDvpeGUTCiIKfAJp+vFXlusrsn2LCwsGI1E9LT05GQkICwsLAKX69Dhw7Yvn272fV3794tTpsoFBcXh1atWpV6LQ8PD/GbWVMKhcKqP0SFVlu0U5BvNw9gNYlcLrf6z5XKxn6XBvtdOtXV94Wfd9b85U9KeXl5+M9//oOXXnoJixcvBgD06tULW7ZswXfffYeHHnoIALB06VKMGDECLi4uZuf/+++/aNGihVm/N27cGF27dsWKFSvw8ccfl/r+MpnM4s/MGf8NVfa5rLqemUzZy//L4rPiserEKvx04SfkGnJLbOeudkcDzwao71kfdd3rwl/nD1+dL/x0fvDT+cFT4wm1XG3X/24NBgMSExPh7+8veb/XNOx7abDfpcO+l0Zhv9vi87Ui17O7xNXAgQPx7rvvIi0tTaypEB0dDblcjv79+1f4evv370eDBg3Mrv/2228jJiYGffv2BQCcPXsW//zzD6ZNs/68zcqQmwyhN+axvgEREZGp1atXIykpCXPmzDE7XrduXVy5cgUAcOnSJfz+++945513zNoEBQXh5s2bAIoSeWvXrsWzzz6LJ598ErNnz8aHH37oVKPTqsLaz2XOLDM/E58d/wwb4jagwFhQ7PVGXo3wYOCDaB/QHm3828Bf52/XSSkiIiJ7YXdPZVFRUVi2bBkiIiIwc+ZMxMfHY8qUKYiKikJQUJDYrk+fPrhy5QrOnz8PAPj555+xdu1aDB48GHXr1kVKSgq+/fZb7Ny5E+vXrxfP69y5MwYMGIAxY8Zg8eLF0Gq1ePPNN9G6dWs88cQT1X6/lshMEleCE047ICIiqoqvv/4ajz32GFxcXMzqdt25c0dMrsTExECpVCI8PNzs3M2bN6N///54/vnnMWLECABA8+bNAdyth5WUlIRjx46hY8eO1XMzdq68z2U13aGEQ5h1YBYS7iSYHa/jVgdPNH4C/UL6ob5nfYmiIyIicmx2l7jy9vZGTEwMJkyYgIiICLi7uyMyMhILFiwwa2cwGMweVhs2bIi8vDxMnz4dSUlJ8PPzQ+vWrbFv3z5xykCh7777DpMmTcKLL74IvV6P/v37Y9myZXbz7apMbZK4yueIKyIisj5BECAUFB8VIgWZSlXukSeZmZk4dOgQDh48iG+//bbY64UrCf/1119o0qRJsULgISEhyMzMxMCBA/Hggw+avVY4ffDQoUNMXN1T3ueymkoQBPz3xH+x7J9lZscbeTXC+Lbj0bNuTyjknNJCRERUFfaRqblPs2bNsHv37lLb7Nu3z2w/LCwMW7ZsKdf1PT09sWrVKqxataqSEdqWTK0St5m4IiIiWxAKCnCmdRupwwAANP33OGRqdbna/vvvvzAYDIiOjkZoaKh4/NKlSxg+fDjatWsH4G4xcEtFwI8fPw4AaNOm+L0rlUp4eXkhISGh2Gs1WXmey2qiAmMB5h2chx8v/Cge0yl1mNRhEp5s8iQTVkRERFZil4mrms60xhUMBgh6PWR2MhqMiIhISoUrA/fs2VNcRRgAjhw5AplMhj59+gAAcnNzi422Au4mrmrVqoXatWtbvL5Go0FOTo4NIidnYhSMmH1gNrZe3Coea+7bHB/2+BB1PepKGBkREZHz4TqSduj+b51Z54qIiOiuwjIB969Es27dOvTs2RP16tUDAPj4+CAtLa3Y+cePH0fr1q1LvH5aWhp8fX2tFzA5HUEQ8P7h982SVr3r9sbqAauZtCIiIrIBDuOxQzKlElAqgXsP58b8fMhdXSWOioiInIlMpULTf49LHQaAu7GUV0hICADg9OnT6Nq1KwBg69atOHDgAH799VexXdOmTbF3795i58fFxYnn3S8xMRHZ2dlo2rRpRcKnGmbjuY34Nq6ovlr/kP5Y1GMRpwYSERHZCBNXdkqmUkG4l7hinSsiIrI2mUxW7rpS9qRz586oV68eXn31VSxcuBDnzp3D9OnTMXfuXHTv3l1s17VrV8yfPx/Xr19HcHCweNzDwwN//PEH9u3bB51Ohw4dOkB1L3F25MgRAEC3bt2q96bIYZxNPYv3D78v7ncO7IyF3RcyaUVERGRDnCpop2QmdTk4VZCIiOgupVKJTZs2wWg04tFHH8Xy5cuxdOlSzJ4926xdz5494evri+3bt5sdX7BgAXJzc9G/f3/07NnTbDXD7du3o3v37ggICKiWeyHHkmfIw5RfpyDPcPe5rI5bHSzuuRhqheMlgImIiBwJR1zZKblGA+O9bSauiIiIinTo0AF///13qW3UajVGjRqF9evXY+zYseLxLl264J9//oFSqTRLWun1emzcuBHvvfeezeImx7b65GpcTL8IAFDKlPigxwdwV7tLHBUREZHz44grO2U6fcPIqYJEREQVNnnyZBw6dAjHj5ddy+vbb7+Fm5sbnnnmmWqIjBxNQlYCVp1YJe5HtYlCK/9WEkZERERUczBxZadME1dCHhNXREREFRUYGIg1a9YgMTGxzLZyuRxffvkllEoORqfiPjzyIXINuQCAuu518XzL5yWOiIiIqObg05mdMqtxlc+pgkRERJXx5JNPlqvdyJEjbRwJOarTyaex68oucX9ap2msa0VERFSNOOLKTpmPuGLiioiIiEgKX578Utx+MPBB9AjuIWE0RERENQ8TV3bKdMQVa1wRERERVb+rGVfxy5VfxP0XW79oVtSfiIiIbI+JKzvFGldERERE0lpzag2Mwt11nlv7tUbHgI4SR0RERFTzMHFlp+QaThUkIiLrkMvlMBqNUofhFIxGI+RyPj7VBOl56fjx/I/i/phWYzjaioiISAJ88rJTMrVJcfYCjrgiIqLKU6lUKCgoYPKqioxGIwoKCqBSqaQOharBzss7kW+8+wxW170uetXtJXFERERENRMTV3ZKxhFXRERkJR4eHjAajUhKSoIgCFKH45AEQUBSUhKMRiM8PDykDoeqwY8XikZbDWk4BHIZH5uJiIikoJQ6ALLMtMaVkTWuiIioClxdXeHu7o7k5GRkZGRAqazZH/+Vme6n1+tRUFAAd3d3uLq62igysheX0i/h38R/xf1HGz4qYTREREQ1W81+crVjZlMFOeKKiIiqKCgoCGlpacjKyqrRUwYFQUBeXh60Wm2F6hWp1Wr4+PjAy8vLdsGR3fjfhf+J2+G1wxHkFiRhNERERDUbE1d2ymyqYD5HXBERUdXI5XL4+PjAx8dH6lAkZTAYkJiYCH9/fygUCqnDITskCAJ+vvizuP9Yw8ckjIaIiIg4Wd9OyTUmI67yOeKKiIiIqDqcTT2LhDsJAAC1XI2+IX0ljoiIiKhmY+LKTslUpjWumLgiIiIiqg6/Xf9N3O4U2AmuKtY0IyIikhITV3ZKZjriisXZiYiIiKrFr9d/FbcfCn5IwkiIiIgIYOLKbrHGFREREVH1SslNMVtNsEdwDwmjISIiIoCJK7slU5smrjhVkIiIiMjW9sfvhwABANDIqxHquNWROCIiIiJi4spOydRFUwVZ44qIiIjI9n69xmmCRERE9oaJKztlPlWwQMJIiIiIiJyfIAj46+Zf4n734O4SRkNERESFmLiyU3Kz4uwccUVERERkS5cyLiE1LxUAoFFo0MqvlcQREREREcDEld2SqUxGXDFxRURERGRT/9z6R9xu6dcSaoW6lNZERERUXZi4slOmUwWNLM5OREREZFN/3/5b3G5fq72EkRAREZEpJq7slMx0qiBrXBERERHZ1N+3TBJXAUxcERER2QsmruyU6aqCnCpIREREZDu3s2/jetZ1AIBcJkdb/7bSBkREREQiJq7slEytEreZuCIiIiKynX9uF9W3auLdBG5qNwmjISIiIlNMXNkp06mCxvx8CSMhIiIicm5m0wRZ34qIiMiuMHFlp+RmNa6YuCIiIiKylZPJJ8XttrXaShcIERERFcPElZ2SqU2WYNbrIej10gVDRERE5KQMRgPOpZ4T95v7NpcwGiIiIrofE1d2yixxBY66IiIiIrKFq5lXkaPPAQDolDrUda8rcURERERkiokrOyVTKgF50Y+HiSsiIiIi6zuTckbcburdFHIZH4+JiIjsCT+Z7ZnJqCtjHhNXREREVL1++eUXPPPMM2jYsCFkMhnGjx8vdUhWF5cSJ2439WkqYSRERERkCRNXdsx0uqCQnydhJERERFQT7dixA8ePH8dDDz0ELy8vqcOxibjUosRVM59mEkZCRERElthl4iouLg79+vWDq6srateujalTpyK/jKlyCQkJmDp1Ktq2bQt3d3cEBwfjmWeewZUrV8za7du3DzKZrNifp59+2pa3VDmmias8Jq6IiIioen3wwQc4deoUvvzyS3h6ekodjk2YThUM8wmTMBIiIiKyRCl1APdLTU1F79690bhxY2zatAnx8fGYNGkSsrOzsXz58hLPO3r0KDZt2oQxY8bgwQcfRFJSEt5++22Eh4fj5MmT8Pf3N2u/evVqhIUVPZz4+fnZ7J4qS6ZWQ7i3zRpXREREVN3kcrv8jtNqknKSkJSTBABQyBRo6NVQ4oiIiIjofnaXuFq5ciUyMjKwefNm+Pj4AAD0ej3GjRuHmTNnIigoyOJ53bp1Q1xcHJTKolvq0qUL6tWrh7Vr1+KNN94wa9+yZUt07NjRdjdiDWqVuGnkiCsiIiIiqzIdbVXfsz60Sq2E0RAREZEldpe42r59O/r27SsmrQBg+PDhiIqKwq5duzB69GiL51mquxAcHAx/f3/cuHHDRtHallmNKxZnJyIiIgeRkZGBjIwMcT8hIQEAYDAYYDAYrP5+BoMBRqOxwtc+nXRa3G7i1cQmsTmzyvY7VR37Xhrsd+mw76Vhy36vyDXtLnEVFxeHMWPGmB3z8vJCYGAg4uLiSjjLsrNnz+L27dto1qx4oc1BgwYhOTkZgYGBGDFiBObPnw+dTlel2K1OxeLsREREZD3p6eliEqk0DRo0gNrkC7SKWrJkCebNm1fseHJyMjQaTaWvWxKj0Yj09HQAFZveeOrWKXE7SB2ExMREq8fmzCrb71R17HtpsN+lw76Xhi37PTk5udxt7S5xlZqaanH0lLe3N1JSUsp9HUEQMHHiRAQFBWHEiBHicU9PT0ydOhU9evSATqfDnj178OGHHyI2NhZbt24t9ZrV+e2hwWAAVEVTBQ25ucwuVxNm86XBfpcG+1067Htp2Ms3h1KJjo7G2LFjy2wXGxtrVgu0oiZNmoTIyEhxPyEhAeHh4fD19S1Wd9QaCvvez88PCoWi3Ofdyr8lbrcKamWT2JxZZfudqo59Lw32u3TY99KwZb/nVaAckt0lrqxl7ty5iImJwY4dO+Dq6ioeb9euHdq1ayfu9+7dG4GBgRg/fjwOHz6M8PDwEq9Znd8eGo1GGEwymumJScjht4DVgtl8abDfpcF+lw77Xhr28s2hVCIjI80SSrbi4eEBDw+PYscVCoXNfuGQy+UVur4gCLiSUbT6dH2v+vxlqBIq2u9kPex7abDfpcO+l4at+r0i17O7xJW3t7f4QGkqNTXVrO5Vaf773/9i/vz5WLVqFfr06VNm++HDh2P8+PE4evRoqYmr6vz20GAw4I6LC/T39t00GnjyW8BqwWy+NNjv0mC/S4d9Lw17+eaQpJeSm4LMgkwAd1cUDHYLljgiIiIissTuEldhYWHFalkV1mMoz5D1zZs34+WXX8b8+fOL1cqqqur+9tC0OLtMr+cvNtWI2XxpsN+lwX6XDvteGvbwzaGjuHLlCv766y8AQHZ2Ni5cuICNGzcCAIYNGyZlaFVmOtqqjlsdqBSqUloTERGRVOwucTVw4EC8++67SEtLE2tdRUdHQy6Xo3///qWeu2/fPowYMQJjx47FrFmzyv2eGzZsAAB06tSp0nHbgtmqgizOTkRERNVs7969eP7558X9HTt2YMeOHQDuTrVzZJczLovbIR4h0gVCREREpbK7xFVUVBSWLVuGiIgIzJw5E/Hx8ZgyZQqioqIQFBQktuvTpw+uXLmC8+fPA7hbRDQiIgKNGzfGs88+iz///FNs6+/vj4YNGwIARo4ciUaNGqF9+/bQarXYs2cPPvroI0RERKBjx47Ve7NlMUlcGTn9gIiIiKrZ6NGjMXr0aKnDsAnTxFWoZ6hkcRAREVHp7C5x5e3tjZiYGEyYMAERERFwd3dHZGQkFixYYNbOYDBAr9eL+4cOHUJ6ejrS09PRtWtXs7ajRo3CmjVrAAAtWrTAunXrsHjxYuTl5aF+/fqYOXMmZsyYYfN7qyiZyaqCQl6+hJEQEREROZcr6UVTBUM9QqULhIiIiEpld4krAGjWrBl2795dapt9+/aZ7Zf3G8EZM2bYZZLKIrOpgkxcEREREVkLpwoSERE5Bq6/bcfMalxxqiARERGRVRiMBlzNvCruM3FFRERkv5i4smOmiSsji7MTERERWcWNOzegN94tOaFT6hDgEiBxRERERFQSJq7smZo1roiIiIis7UpGUX2rEI8QyGQyCaMhIiKi0jBxZcdkrHFFREREZHX3J66IiIjIfjFxZc/MalzlShgIERERkfO4nnld3K7rXlfCSIiIiKgsTFzZMZlGI24bc1njioiIiMgabt65KW4HugZKGAkRERGVhYkre6bViptCTo6EgRARERE5jxt3bojbTFwRERHZNyau7JhMbTriilMFiYiIiKzBdMRVkFuQhJEQERFRWZi4smMybVHiijWuiIiIiKouR5+DlNwUcZ8jroiIiOwbE1f2TFM0VdCYw8QVERERUVWZjrby1HjCReUiYTRERERUFiau7JhMU7SqIKcKEhEREVVdQlaCuM3RVkRERPaPiSs7JjMtzs7EFREREVGVJdxh4oqIiMiRMHFlzzQszk5ERERkTVxRkIiIyLEwcWXHTEdcQa+HUFAgXTBEREREToArChIRETkWJq7smVpttstRV0RERERVcyOraMRVbdfaEkZCRERE5cHElR2TyWSsc0VERERkRaY1roJcOeKKiIjI3jFxZedME1cccUVERERUeQajAbfu3BL3A91Y44qIiMjeMXFl5+RakwLtOTkSRkJERETk2JJykqAX9AAAtVwNH62PxBERERFRWZi4snMyrU7c5lRBIiIiosoznSZY27U25DI+ChMREdk7flrbOTmnChIRERFZhWniKtCV0wSJiIgcARNXdo7F2YmIiIisIzE7UdwOcA2QMBIiIiIqLyau7JzZiKscJq6IiIiIKispN0nc9tX5ShgJERERlRcTV3bObMRVHhNXRERERJWVlF2UuPLT+kkYCREREZUXE1d2Tq7jiCsiIiIia0jKKUpc+bv4SxgJERERlRcTV3ZOpjGtcZUjYSREREREjs10qqCfjiOuiIiIHAETV3ZOxhpXRERERFaRnJMsbrPGFRERkWNg4srOmU0VZI0rIiIiokopMBYgJTdF3OeIKyIiIsfAxJWdMyvOzhFXRERERJWSklOUtNIoNHBXuUsYDREREZUXE1d2Tm5S48rIGldERERElXJ/fSuZTCZhNERERFReTFzZOZnOtDh7noSREBERETku1rciIiJyTExc2Tm5aXH2XE4VJCIiIqqMxOxEcdtPy/pWREREjoKJKzsn0+rEbSGHUwWJiIiIKiMpp2iqoL+Lv4SREBERUUUwcWXnZFqNuM0RV0RERESVY5q44lRBIiIix8HElZ2Tm464YuKKiIiIqFJME1d+Ok4VJCIichRMXNk50+LsHHFFREREVDlmiSvWuCIiInIYTFzZObnGdKoga1wRERFR9TAYDFi0aBF69OgBPz8/+Pj4oFevXvj999+lDq1SWOOKiIjIMTFxZefMi7NzxBURERFVj5ycHCxcuBAdOnTAV199hW+//Rbe3t7o1asX9uzZI3V4FSIIApJzk8V9ThUkIiJyHEqpA6DSyU2nCublSRgJERER1SQ6nQ4XL16Et7e3eKxfv35o2bIlPvroI/Tu3VvC6CrmTsEd5OiLRq77aH0kjIaIiIgqwi5HXMXFxaFfv35wdXVF7dq1MXXqVOTn55d6TkJCAqZOnYq2bdvC3d0dwcHBeOaZZ3DlypVibW/cuIGhQ4fC3d0dPj4+iIyMREZGhq1up0pk2qLElZDDqYJERERUPRQKhVnSqvBY69atcePGDYmiqhzTaYKeGk+oFWoJoyEiIqKKsLsRV6mpqejduzcaN26MTZs2IT4+HpMmTUJ2djaWL19e4nlHjx7Fpk2bMGbMGDz44INISkrC22+/jfDwcJw8eRL+/ndrGRQUFGDAgAEAgG+//RbZ2dmYPHkynnnmGWzdurVa7rEi5KaJq/x8CAYDZAqFhBERERFRTaXX6/Hnn3+ie/fuUodSISzMTkRE5LjsLnG1cuVKZGRkYPPmzfDxuTuMW6/XY9y4cZg5cyaCgoIsntetWzfExcVBqSy6pS5duqBevXpYu3Yt3njjDQDAxo0bcerUKcTGxqJp06YAAG9vbwwYMACHDx9GeHi4je+wYmQmxdkBQMjLg8zFRaJoiIiIqCZbtGgR4uPj8frrr5faLiMjw2w0e0JCAoC7Bd8NBoPV4zIYDDAajSVeOyUnRdz21nrbJIaaqKx+J9th30uD/S4d9r00bNnvFbmm3SWutm/fjr59+4pJKwAYPnw4oqKisGvXLowePdrieV5eXsWOBQcHw9/f32w4+/bt29G6dWsxaQXcrdfg4+ODbdu22V/iSqmETKWCUFAAADDm5kLOxBURERFVQnp6uphEKk2DBg2gVptPp/vll18wZ84czJ49Gx06dCj1/CVLlmDevHnFjicnJ0Nz35dy1mA0GpGeng4AkMuLV8K4nnRd3NZBh8TERKvHUBOV1e9kO+x7abDfpcO+l4Yt+z05ObnsRvfYXeIqLi4OY8aMMTvm5eWFwMBAxMXFVehaZ8+exe3bt9GsWTOz64eFhZm1k8lkCAsLq/D1q4tMqxUTV6xzRURERJUVHR2NsWPHltkuNjbW7Hnp77//xtChQ/HMM89g9uzZZZ4/adIkREZGivsJCQkIDw+Hr6+vWL7Bmgq/tfXz84PCQkkF/S29uF3LvZZNYqiJyup3sh32vTTY79Jh30vDlv2eV4HF5+wucZWammpx9JS3tzdSUlKKn1ACQRAwceJEBAUFYcSIEVa5fnUOezcdkifTaoHMTABAwZ07kHN4pE1xGKo02O/SYL9Lh30vDXsZ8i6VyMhIs4RSeZw/fx4DBw5Ely5d8H//93/lOsfDwwMeHh7FjisUCpv9wiGXy0u8fkZ+0fObj86Hv/RYUWn9TrbFvpcG+1067Htp2KrfK3I9u0tcWcvcuXMRExODHTt2wNXV1SrXrM5h76ZD8gSVSjyecvMmlBYeBMl6OAxVGux3abDfpcO+l4a9DHl3FAkJCejfvz/q1auHjRs3QmXyTOJI0vLSxG1Pjad0gRAREVGF2V3iytvbW3ygNJWammpW96o0//3vfzF//nysWrUKffr0Kff169atW+p1q3PYu+mQvBw3V+TfO+6l1UHH4e02xWGo0mC/S4P9Lh32vTTsZci7I8jJycHAgQORlJSEpUuX4uTJk+JrGo0G7dq1kzC6ijFNXHlpvCSLg4iIiCrO7hJXlmpNFRYSvb82lSWbN2/Gyy+/jPnz5xerlVV4/RMnTpgdEwQBZ86cQb9+/Uq9dnUPey8ckifX6ooO5ufzF5xqwGGo0mC/S4P9Lh32vTTsYci7I7h16xaOHz8OAHjsscfMXgsJCcHly5cliKpyTBNX3lpv6QIhIiKiCrO7uQkDBw7E7t27kZaWJh6Ljo6GXC5H//79Sz133759GDFiBMaOHYtZs2aVeP3jx4/j3Llz4rGYmBgkJydj0KBBVrkHa5NrteK2kMvi7ERERGR7oaGhEATB4h9HSloBQHpe0Wh7ThUkIiJyLHaXuIqKioK7uzsiIiKwa9curF69GlOmTEFUVBSCgoLEdn369EGjRo3E/djYWERERKBx48Z49tln8eeff4p/Lly4ILYbNmwYWrRogaFDh2Lr1q34/vvvMWbMGDzyyCMIDw+v1nstL5muKHFlzHWuaQhEREREtpaalypuc6ogERGRY7G7qYLe3t6IiYnBhAkTEBERAXd3d0RGRmLBggVm7QwGA/T6oqWNDx06hPT0dKSnp6Nr165mbUeNGoU1a9YAAFQqFXbs2IGJEydixIgRUCqVeOKJJ/DRRx/Z/N4qS67hiCsiIiKiyjAYDcjIK1pVkIkrIiIix2J3iSsAaNasGXbv3l1qm3379pntjx49GqNHjy7X9evUqYMffvihktFVP7npiKucXAkjISIiInIsmfmZECAAAOQyOdzV7hJHRERERBVhd1MFqTiZSXF2IY+JKyIiIqLyMi3M7qn2hFzGx18iIiJHwk9uB2BanJ0jroiIiIjKzzRx5aX1kiwOIiIiqhwmrhyAzCxxxRpXREREROVllrhifSsiIiKHw8SVA5DrTKYKsjg7ERERUbmZTRXUeEoXCBEREVUKE1cOQO7iIm4b72RLGAkRERGRY0nLTRO3vTXe0gVCRERElcLElQOQu5okrrKZuCIiIiIqL04VJCIicmxMXDkAuauruG28c0fCSIiIiIgcC6cKEhEROTYmrhyA2VRBjrgiIiIiKjfTxJW3llMFiYiIHI1S6gCobExcERER1SwGgwHbtm3DL7/8gkOHDiEhIQE5OTnw9fVF06ZN0b17dwwdOhT169eXOlS7xxFXREREjo0jrhwAE1dEREQ1Q1ZWFubNm4c6depg2LBh2L9/P5o3b46nnnoKL730Evr27QuDwYAPP/wQjRs3Rt++fXHgwAGpw7Zr6Xnp4jZrXBERETkejrhyAExcERER1Qz169dHy5Yt8cEHHyAiIgLu7u4ltv3777+xfv16PProo3jnnXcwbty4aozUcZhNFeSqgkRERA6HiSsHwOLsRERENcOPP/6ILl26lKtt+/bt0b59e8yePRtXr161cWSOSRAEpOWmifucKkhEROR4OFXQAZiOuBLy8iDo9RJGQ0RERLZS3qSVKXd3d7Ro0cIG0Ti+OwV3oBeKnpuYuCIiInI8HHHlAGQ6ndm+MScHilKmDhAREZHziI2NxZEjR3Dt2jWMGTMGtWvXxvnz5xEQEFDqVEIynybornKHUs5HXyIiIkfDT28HIJPLIXNxgXCvvpUxO5uJKyIiIieXnZ2NyMhIfP/995DJZDAajXj44YdRu3ZtzJgxA/Xr18eiRYukDtOuZeZnitseGg8JIyEiIqLK4lRBByF3NSnQfocF2omIiJzd5MmTsWfPHmzbtg0ZGRkQBEF8bdCgQdixY4eE0TkG08SVu5pf+hERETkijrhyEHIXFxjubbNAOxERkfPbuHEjPvjgA/Tv3x8Gg8HstdDQUFy+fFmawBxIZkFR4spN5SZhJERERFRZHHHlIOQuJisLZnPEFRERkbPLyspCYGCgxdfu8EuscsnKzxK3OeKKiIjIMTFx5SBMVxY0ZvNhlYiIyNm1bt0aP/zwg8XXfv75Z3Ts2LGaI3I8nCpIRETk+DhV0EGYJ6444oqIiMjZzZo1C0OGDEF2djaefPJJyGQyHD58GOvXr8eXX36Jbdu2SR2i3eNUQSIiIsdXpcSV0WjEsWPHcOjQISQkJCAnJwe+vr5o2rQpunXrBn9/f2vFWePJXU2mCnJ6ABERkdN75JFHsGHDBkyZMgXr1q0DAIwbNw7BwcFYt24d+vTpI3GE9o8jroiIiBxfpRJXFy5cwKeffop169YhMTERCoUCXl5e0Gg0SEtLQ3Z2NmQyGbp3746xY8dixIgRkMs5K7EqOOKKiIio5hk2bBiGDRuGs2fPIikpCT4+PggLC5M6LIfBGldERESOr8LZpBdffBEtWrTA8ePHMW/ePBw7dgy5ublITEzE9evXkZWVhdu3b2Pr1q1o06YNpk6diubNm+PgwYO2iL/GYOKKiIio5mrSpAm6dOnCpFUFZRUUJa44VZCIiMgxVWrE1alTp9CwYcMSX/fz88PAgQMxcOBALFmyBN9++y0uX76MLl26VDrQms40cSUwcUVEROSUlixZUu62MpkMr7/+ug2jcXwZ+RniNkdcEREROaYKJ66++OKLCrVXKBR49tlnK/o2dB+OuCIiInJ+kydPLndbJq7KZjpV0E3NEVdERESOiKsKOggWZyciInJ+RqNR6hCciulUQXcVR1wRERE5ogonrtauXVuh9s8991xF34Is4IgrIiIioorhqoJERESOr8KJq9GjR5vty2QyAIAgCMWOAUxcWYvc1SRxdYeJKyIiopqgoKAAa9aswaFDh5CQkIDAwEA8+OCDGDVqFFQqldTh2T3TxBWnChIRETmmCq8qmJqaKv7566+/EBISgrfeegvHjx/HzZs3cfz4cbz55psICQnBoUOHbBFzjcQRV0RERDXL2bNn0bRpU7z88sv4559/IAgC/vnnH0RFRaFJkyY4c+aM1CHatTxDHgqMBeI+R1wRERE5pgqPuPL09BS3p0+fjhdffBHTp08Xj9WqVQutWrWCTqfDtGnTEBMTY51IazizxBVrXBERETm9l156CWq1GmfOnDFbzfn8+fN49NFH8fLLL2PPnj0SRmjfTEdbqeVqaBQaCaMhIiKiyqrwiCtTBw8eRIcOHSy+1qFDB/z5559VuTyZMCvOzhFXRERETu/QoUNYsGCBWdIKABo1aoT58+fzOasMnCZIRETkHKqUuKpVqxa+++47i69t2LAB/v7+Vbk8meBUQSIiopolKCjIrG6oKZlMhtq1a1dzRI7FNHHlofaQMBIiIiKqigpPFTQ1c+ZMvPTSS7hw4QIiIiJQq1Yt3L59G5s3b8Zvv/2Gzz//3Fpx1nhMXBEREdUsc+bMwaxZs9C2bVs0aNBAPH7x4kXMmTMHc+bMkTA6+5eVnyVuu6k44oqIiMhRVSlxNXbsWAQGBmLBggWYMmUK9Ho9lEol2rdvjx9//BGPPvqoteKs8UwTV0JeHgS9HjJllX58REREZMe+//57pKWloWnTpmjZsqX4BeHJkycREBCAH374AT/88AOAuyOwfvzxR4kjti+ZBZwqSERE5AyqnPkYPHgwBg8eDKPRiMTERPj7+0Mur9IMRLJAptMBMhkgCADujrpSeHDYOxERkbPKyspCkyZN0KRJEwBAfn4+vLy80K1bNwBAZmZmaadbxQcffIBvv/0Wly5dQkFBARo0aICXXnoJr7zySonTGO2F6VRBrihIRETkuKw2ZEculyMgIMBal6P7yORyyHU6cZogE1dERETObe/evVKHgLS0NDz11FNo2bIltFotYmJiMHHiRGRkZGDmzJlSh1cq06mCTFwRERE5rionrr7++mt8/vnnOHv2LHJzc4u9npGRUdW3oHtkri6ASeKKiIiIyJYWLFhgtt+3b19cvXoVa9assfvEldlUQda4IiIiclhVSlx98803GDt2LEaPHo2DBw9izJgxMBgM+Omnn+Dl5YXnnnvOWnES7ta5MtzbNt5h4oqIiMiZzZ8/v8w2s2fProZIzPn6+iI/P7/a37eiOFWQiIjIOVQpcbV48WLMmjUL06dPxxdffIFx48ahffv2yMzMRP/+/eHmVrlvt+Li4jBhwgQcPHgQ7u7ueO655/DOO+9ArVaXet6KFSuwbds2HDp0CElJSYiOjsawYcPM2uzbtw+9evUqdu5TTz2FDRs2VCre6iJ3cRW3jXfuSBgJERER2dpHH31U7FhWVhYMBgN0Oh00Gk21Ja70ej1ycnLw22+/Ye3atQ6xoiGnChIRETmHKiWuzp07h65du0KhUEChUIjTAt3d3TFt2jS89tprmDRpUoWumZqait69e6Nx48bYtGkT4uPjMWnSJGRnZ2P58uWlnrt27VoAwKBBg8TtkqxevRphYWHivp+fX4XilILctWhlQU4VJCIicm6pqanFjun1esTExGDq1Kn4+uuvqyWO8+fPo3HjxuL+W2+9hddff73UczIyMszKRSQkJAAADAYDDAZDSadVmsFggNFoNLt2Rl7R+7soXGzyvjWdpX6n6sG+lwb7XTrse2nYst8rcs0qJa48PT2Rl5cHAKhTpw5Onz6Nnj17ikEkJydX+JorV65ERkYGNm/eDB8fHwB3H9LGjRuHmTNnIigoqMRzDx48CLlcjsuXL5eZuGrZsiU6duxY4fikJHdh4oqIiKgmUyqVGDBgAOLj4/Hyyy/jwIEDFTo/PT1dTCKVpkGDBuJI97p16+Kvv/5CVlYWfv/9d7z33nuQy+WYN29eiecvWbLE4uvJycnQaDQVirk8jEYj0tPTAUBc3TolO0V8XcgVkJiYaPX3reks9TtVD/a9NNjv0mHfS8OW/V6RfFGVElcdO3bEv//+iwEDBuCxxx7DvHnzYDQaoVKp8N577+HBBx+s8DW3b9+Ovn37ikkrABg+fDiioqKwa9cujB49usRznf0vsNlUwWxOFSQiIqqpgoODcezYsQqfFx0djbFjx5bZLjY2VhyZrtFoxC/7evbsCQ8PD7zxxht4+eWXUbt2bYvnT5o0CZGRkeJ+QkICwsPD4evrC39//wrHXZbCb239/PygUCgAAHnIE18P8g2yyfvWdJb6naoH+14a7HfpsO+lYct+LxwEVR5VSlzNmDEDV65cAXC3gOiVK1fw2muvwWg0olOnTvj8888rfM24uDiMGTPG7JiXlxcCAwMRFxdXlXDNDBo0CMnJyQgMDMSIESMwf/586HQ6q13fFsxGXLE4OxERUY106dIlvP/++2jYsGGFz42MjDRLKFVGhw4dYDAYcPny5RITVx4eHvDw8Ch2vLC8hC3I5XKz65vWuPLSefEXHRu5v9+p+rDvpcF+lw77Xhq26veKXK/Siav8/HzcuHEDnTp1AnA3ufTjjz8iLy8PeXl5Fh9WyiM1NRVeXl7Fjnt7eyMlJaX4CRXk6emJqVOnokePHtDpdNizZw8+/PBDxMbGYuvWraWeW531GizNJZW5Fo240mekc36vjXD+tDTY79Jgv0uHfS8Ne6nVUB7u7u6QyWRmxwoKCpCfnw8XFxds2rTJqu9XXvv374dMJkP9+vUlef/yyiwoWlXQTVW5BYOIiIhIepVOXKnVajzzzDPYsWMHGjRoIB7XaDQ2qV1gLe3atUO7du3E/d69eyMwMBDjx4/H4cOHER4eXuK51VmvwdJc0lyTqZB3bidCYK0Gm+D8aWmw36XBfpcO+14a9lKroTzeeOONYokrrVaL4OBgDBw40Kysgi2kp6dj0KBBGDlyJBo1aoSCggLs27cPS5cuxUsvvYSAgACbvn9VGAUj7hQUlVXgqoJERESOq0pTBcPCwnD16lVrxQLg7siqwgdKU6mpqTZ7QBs+fDjGjx+Po0ePlpq4qs56DZbmkqYGBCD33usavZ61GmyE86elwX6XBvtdOux7adhLrYbymDt3rlWvV1FarRZNmjTBkiVLEB8fD51Oh0aNGmHlypV47rnnJI2tLDn6HBgFo7jvqnItpTURERHZsyolrhYuXIhXX30VzZs3t9oKfWFhYcVqWRWugFNYJFQq1V2v4f65pEpPT/E1450s/qJjQ5w/LQ32uzTY79Jh30vDHmo1VERqaioOHz6MlJQU+Pj4IDw8HN7e3jZ5L1MajQarV6+2+fvYQnZBUS1QrUILpbxKj7xEREQkoSp9ik+dOhXJycl44IEH4Ovri4CAALMh7TKZDMePH6/QNQcOHIh3330XaWlpYq2r6OhoyOVy9O/fvyrhlmjDhg0AINbrsldy96L6DMbMrFJaEhERkaMTBAHTpk3DsmXLzEZzaTQaTJw4Ee+//76E0dm3bH1R4spF5VJKSyIiIrJ3VUpcdejQwWojrQpFRUVh2bJliIiIwMyZMxEfH48pU6YgKioKQUFBYrs+ffrgypUrOH/+vHjsyJEjuHz5MhLv1X76888/AQD+/v546KGHAECs09C+fXtotVrs2bMHH330ESIiIqx+L9amcC+qz2DIzCilJRERETm6d999Fx999BGmTp2Kp556CgEBAbh16xa+++47LFq0CF5eXpgxY4bUYdol0xFXOqV9rxpNREREpatS4mrNmjVWCqOIt7c3YmJiMGHCBERERMDd3R2RkZFYsGCBWTuDwQC9Xm92bPny5fjqq6/E/cWLFwMAHnroIezbtw8A0KJFC6xbtw6LFy9GXl4e6tevj5kzZzrEg5/cvWiaIkdcERERObf/+7//w6xZszB79mzxWEBAAFq3bg2NRoMvvvjCIZ5fpMARV0RERM7DLif8N2vWDLt37y61TWEiytSaNWvKTKbNmDHDYR/yFGZTBTNLaUlERESOLiEhAV26dLH4WufOnfHuu+9Wc0SOw3RFQVclC7MTERE5sgqvA/3ZZ59VeNWcEydOYM+ePRV9K7qP3GyqYCYEQZAwGiIiIrKl0NBQ/PzzzxZf27ZtG0JDQ6s3IAfCEVdERETOo8KJqzVr1iAkJASvv/46Dh48iIKCAovtbty4gVWrVqFv377o0qULUlNTqxxsTadwKxpxBYMBQk6OdMEQERGRTb3++utYunQpRo4ciS1btuCPP/7Ajz/+iJEjR+KTTz7BpEmTpA7RbuUUFD0juSiZuCIiInJkFZ4qeOjQIWzevBlLly7FJ598ApVKhSZNmsDf3x8ajQZpaWm4dOkSbt++DR8fH4waNQrffPMNateubYv4axSZWg2ZVgshNxcAYMjMgtyFD2NERETO6KWXXkJ+fj7efvttfPvtt5DJZBAEAf7+/li6dClefPFFqUO0WxxxRURE5DwqVePq8ccfx+OPP47Lly9j9+7dOHLkCBISEpCbm4uQkBD0798fXbt2Rc+ePaFSqawdc40md3eD4V7iypiZAQTUkjgiIiIispUJEybglVdeQVxcHFJTU+Hj44OmTZtCLq/woPkaxbTGFVcVJCIicmxVKs4eGhqKyMhIREZGWiseKoPC3QOGxCQAd+tcERERkXOTy+Vo3ry51GE4lOyCohFXrioWZyciInJk/LrOwci5siAREVGN8Oabb+Kll16y+NpLL72E2bNnV3NEjsNsqiBrXBERETk0Jq4cjMLNfGVBIiIick7r169Ht27dLL7WvXt3rF+/vpojchymI65Y44qIiMixMXHlYOQeRYkrY2aWhJEQERGRLd24cQN169a1+FpwcDCuX79ezRE5Do64IiIich5MXDkY8xFXGRJGQkRERLbk7++PkydPWnzt5MmT8PHxqeaIHAdrXBERETkPJq4cjNydI66IiIhqgoiICMydOxeHDx82O/7XX39h/vz5ePzxxyWKzP6ZjbjiVEEiIiKHVqlVBffv348NGzbgypUrUKlUqFevHtq1a4c+ffogODjY2jGSCYXpVMEs1rgiIiJyVu+88w4OHDiAzp07o1mzZggKCsKNGzcQGxuLtm3bYsGCBVKHaLdMR1zplDoJIyEiIqKqqvCIq2XLlqFHjx7YsWMHsrKycP36dSxbtgzPP/88QkND0a9fPxw8eNAWsRIAuelUwQwmroiIiJyVp6cn/vzzT6xcuRKtWrUCALRq1QpffPEF/vjjD3h6ekocof26U3BH3OaIKyIiIsdW4RFX77//PiZPnoxFixYBAPR6PdRqNb7//nskJSVh3bp16NGjB+bNm4c333zT6gHXdAp3N3HbyFUFiYiInJparcbYsWMxduxYqUNxKKZTBV2VrHFFRETkyCo84iotLQ2DBw8W92UyGQCgQYMGiIqKwu+//44tW7Zg0aJFWLt2rfUiJQCA3N1D3DZkscYVERGRM9Hr9dV6nrPK0eeI2xxxRURE5NgqnLjq2rUr/ve//5XaZvDgwVi4cKE4Kousx2zEVQZXFSQiInIm9evXx8cff4zk5ORytd+/fz+GDRuG9957z8aROQ6D0WCeuFIycUVEROTIKjxVcNGiRejWrRvkcjnmzJkDrVZrsV2TJk1w8eLFKgdI5kxXFeSIKyIiIueycuVKvPXWW5g6dSoeeughdO3aFa1bt4a/vz80Gg3S0tJw6dIlHD16FDt37kRiYiJefvllREVFSR263cg15Jrtszg7ERGRY6tw4qpNmzbYtWsX/vOf/+Dzzz/HY489BplMhitXriA0NBQKhQKnT5/GzJkz0bx5c1vEXKMpTBJXrHFFRETkXB555BE88sgj2Lt3L9auXYtVq1YhPj4ewN3yDIIgQK1Wo0OHDnjttdfw7LPPws/PT+Ko7YtpYXadUgeFXCFhNERERFRVFU5cAUDnzp0RFxeHL7/8Et988w3kcjmGDh0q1rsSBAH16tXD5s2brRosmY+4MmZlQTAYIFPwgYyIiMiZ9OrVC7169QIA3Lx5EwkJCcjNzYWPjw9CQ0Oh0WgkjtB+ZRcUFWbnaCsiIiLHV6nEFXB3lZuoqChERUUhKysL//77L65duwa9Xo+QkBB07twZCiZUrE7uar4yjvHOHSg8PEpoTURERI6udu3aqF27ttRhOAzTFQVZ34qIiMjxVTpxZcrNzQ1dunSxxqWoDDKFAnI3Nxjv1bcyZGQycUVERER0j+mIK64oSERE5PgqvKogSc98uiDrXBEREREVMh1x5apyLaUlEREROQImrhyQws1N3GaBdiIiIqIiZiOuOFWQiIjI4TFx5YDkJlMDDUxcEREREYnMalxxqiAREZHDY+LKASlMpgoa0jMkjISIiIjIvnBVQSIiIudileLsVL0U3t7itiEtTbpAiIiIyGZ+++23Mtv06NGjGiJxLHcK7ojbrHFFRETk+Ji4ckAKLy9x25CaKl0gREREZDM9e/aETCaDIAjiMZlMZtbGYDBUd1h2z2yqIGtcEREROTwmrhyQWeKKI66IiIic0j///FPsWGpqKnbu3IkffvgBn3/+uQRR2T+z4uyscUVEROTwmLhyQApvL3GbiSsiIiLn1KZNG4vHe/bsCRcXF3z++efo1atXNUdl/zjiioiIyLmwOLsD4ogrIiKimq1Lly7Ytm2b1GHYpRx9jrjNGldERESOj4krB8QaV0RERDXbli1b4OPjI3UYdsm0OLtOxVUFiYiIHB2nCjogjrgiIiJyfo899lixY/n5+Thz5gyuXr2KRYsWSRCV/TOrccWpgkRERA6PiSsHpPT2FrcNaWkQBKHYKkNERETk2DIyMop9vmu1WvTt2xfDhg3DgAEDJIrMvrHGFRERkXNh4soBKTw9xW2hoABCdjZkrqzhQERE5Ez27dsndQhmjh49ivDwcOh0OmRlZUkdTolMR1yxxhUREZHjY40rByRTqyE3SVTpU9OkC4aIiIicniAIGD9+PPz9/aUOpUymI650Sta4IiIicnRMXDkoxX3TBYmIiIhsZfXq1UhKSsKYMWOkDqVMpqsKuqg4VZCIiMjRMXHloFignYiIiKpDWloapk+fjo8++ghqtVrqcEolCAJy9bnivkahkTAaIiIisgYmrhwUE1dERERUHd566y106NABgwcPljqUMhUYCyBAEPc5VZCIiMjxsTi7gzJLXKWmShcIEREROa1jx45h1apV+Oeffyp0XkZGBjIyMsT9hIQEAIDBYIDBYLBqjIXXNRqNuJN/Rzwml8khF+Q2eT+6q7Df2cfVj30vDfa7dNj30rBlv1fkmnaZuIqLi8OECRNw8OBBuLu747nnnsM777xT5vD0FStWYNu2bTh06BCSkpIQHR2NYcOGFWt348YNTJgwAbt27YJKpcITTzyBJUuWwMPDw1a3ZHWscUVEREQVlZ6eLiaRStOgQQOoVCq88sorGDduHMLCwir0PkuWLMG8efOKHU9OToZGY/3pe0ajEenp6SjILRCPqeVqJCUlWf29qEhhvwOAXM6JHNWJfS8N9rt02PfSsGW/Jycnl7ut3SWuUlNT0bt3bzRu3BibNm1CfHw8Jk2ahOzsbCxfvrzUc9euXQsAGDRokLh9v4KCAgwYMAAA8O233yI7OxuTJ0/GM888g61bt1r3ZmxI4eUpbjNxRUREROURHR2NsWPHltkuNjYWx44dQ2xsLL799luk3XvWyM29Wz8qLS0NWq0WWq3W4vmTJk1CZGSkuJ+QkIDw8HD4+vraZGXCwm9tszXmKwo6wiqIjqyw3/38/KBQKCSOpmZh30uD/S4d9r00bNnveXl55W5rd4mrlStXIiMjA5s3b4aPjw8AQK/XY9y4cZg5cyaCgoJKPPfgwYOQy+W4fPlyiYmrjRs34tSpU4iNjUXTpk0BAN7e3hgwYAAOHz6M8PBw69+UDbDGFREREVVUZGSkWUKpNBs2bEBqaipCQ0OLvebt7Y1p06bhvffes3iuh4eHxZHsCoXCZr9wyOVyFAhFI650Sh1/uakGcrncpj9XKhn7Xhrsd+mw76Vhq36vyPXsbozd9u3b0bdvXzFpBQDDhw+H0WjErl27Sj23PEPXtm/fjtatW4tJKwDo168ffHx8sG3btsoHXs2UplMFWeOKiIiIrGz06NHYu3ev2Z9Ro0ZBq9Vi7969ePHFF6UOsRjTFQW1SsujwYiIiMix2N2Iq7i4OIwZM8bsmJeXFwIDAxEXF2eV699fp0EmkyEsLMwq168uHHFFREREthQaGlpstNW+ffugUCjQs2dPSWIqS66hKHGlUVi/lhYRERFVP7tLXKWmpsLLJClTyNvbGykpKZJevzpXyCmzer/J8Ht9WhpXV7AirlghDfa7NNjv0mHfS8NeVsch2zAdcaVT6iSMhIiIiKzF7hJX9qw6V8gpq3q/0WgUt/WpqUhMTLTq+9dkXLFCGux3abDfpcO+l4a9rI7jqObOnYu5c+dKHUaJTEdccaogERGRc7C7xJW3t7f4QGkqNTXVrO6VLa5ft27dUs+tzhVyyqreb3Rzg3gXOTnw9fSEXK22agw1FVeskAb7XRrsd+mw76VhL6vjkG2Y1bhSMHFFRETkDOwucWWp1lR6ejoSEhKK1aaq7PVPnDhhdkwQBJw5cwb9+vUr9dzqXiGntOr9Cjc3yDQaCIUPyRmZUATUsnoMNRVXrJAG+10a7HfpsO+lYQ+r45BtmNW4UrLGFRERkTOwu7kJAwcOxO7du5FmUnA8Ojoacrkc/fv3t8r1jx8/jnPnzonHYmJikJycjEGDBlX5+tWJBdqJiIiIirDGFRERkfOxu8RVVFQU3N3dERERgV27dmH16tWYMmUKoqKiEBQUJLbr06cPGjVqZHbukSNHsHHjRmzfvh0A8Oeff2Ljxo349ddfxTbDhg1DixYtMHToUGzduhXff/89xowZg0ceeQTh4eHVc5NWojCZOmlIcf66GkRERESlyTMUTdfkVEEiIiLnYHdTBb29vRETE4MJEyYgIiIC7u7uiIyMxIIFC8zaGQwG6PV6s2PLly/HV199Je4vXrwYAPDQQw9h3759AACVSoUdO3Zg4sSJGDFiBJRKJZ544gl89NFHtr0xG1D6+aHw8UyflCRpLERERERSy9HniNsszk5EROQc7C5xBQDNmjXD7t27S21TmIgytWbNGqxZs6bM69epUwc//PBDJaOzH0qTgvD6RCauiIiIqGYzW1WQI66IiIicgt1NFaTyU/r5idsccUVEREQ1ndmqghxxRURE5BSYuHJg5omrRAkjISIiIpKeWY0rJq6IiIicAhNXDkzpb5K4SmTiioiIiGo2sxFXnCpIRETkFJi4cmCmI64MnCpIRERENZxZjSuOuCIiInIKTFw5MIXpVEEWZyciIqIajiOuiIiInA8TVw5M6V9L3DakpUHIz5cwGiIiIiJpccQVERGR82HiyoHJXV0g0+nEfX1KioTREBEREUnLdMSVTqkrpSURERE5CiauHJhMJjNfWZAF2omIiKgGMx1xpVFoJIyEiIiIrIWJKwenZJ0rIiIiIgD31bjiVEEiIiKnwMSVgzNLXCVxxBURERHVXHmGPHGbUwWJiIicAxNXDk7pb5q44ogrIiIiqrm4qiAREZHzYeLKwSn9/cVt1rgiIiKimkpv1EMv6MV9jZI1roiIiJwBE1cOTmEyVdDAEVdERERUQ+UZ88z2WZydiIjIOTBx5eBYnJ2IiIjIvL6VVqGFXMbHXCIiImfAT3QHp/QzmSrIEVdERERUQ5klrriiIBERkdNg4srB3V+cXRAECaMhIiIikkauoagwO6cJEhEROQ8mrhyc0tdX3BZyc2HMypIwGiIiIiJp5BvzxW2dUidhJERERGRNTFw5OJlKBYVJ8kp/86aE0RARERFJw3TEFacKEhEROQ8mrpyAKjBQ3C5ISJAwEiIiIiJp3F+cnYiIiJwDE1dOwCxxdYOJKyIiIqp5TBNXGiVrXBERETkLJq6cgCrINHF1Q8JIiIiIiKSRZyxKXOkUrHFFRETkLJi4cgKqoCBxm1MFiYiIqCYymyrIGldEREROg4krJ6AM5IgrIiIiqtmYuCIiInJOTFw5AVVQHXG7IIGJKyIiIqp5co1FqwpqFKxxRURE5CyYuHICpjWu9LduQ9DrJYyGiIiIqPrlG/LFbZ2SNa6IiIicBRNXTkDh7Q2Z9t6QeIMB+tu3pQ2IiIiIqJrlGopGXHGqIBERkfNg4soJyGQyqEzrXLFAOxEREdUwpqsKahVMXBERETkLJq6chIoF2omIiKgGY3F2IiIi58TElZNQ1QkStwtucMQVERER1SxmiSuOuCIiInIaTFw5CSVHXBEREVENZjZVkCOuiIiInAYTV05CFWQy4iqBiSsiIiKqWThVkIiIyDkxceUkVIGmUwWZuCIiIqKqGz16NGQyWbE/O3bskDq0YsxWFeRUQSIiIqehlDoAsg5VkOlUwQQIggCZTCZhREREROQMGjRogHXr1pkda9asmUTRlCzfkC9uaxQaCSMhIiIia2LiykmoatcGFArAYICQnQ1DcjKUfn5Sh0VEREQOTqfT4cEHH5Q6jDLlG4sSV5wqSERE5Dw4VdBJyFQqqIODxf38y5elC4aIiIiompkmrtQKtYSREBERkTUxceVE1KGh4nbepUvSBUJERERO4/z58/D09IRarUaHDh2wZcsWqUOyqMBYIG6r5UxcEREROQtOFXQi6tBQ4NdfAXDEFREREVVdu3bt0KlTJ7Ro0QJpaWn47LPP8PjjjyM6OhrDhg0r8byMjAxkZGSI+wkJCQAAg8EAg8Fg9TgNBoPZiCulTGmT9yFzBoMBRqORfS0B9r002O/SYd9Lw5b9XpFrMnHlRNT1Q8Xt/MtXpAuEiIiI7FJ6erqYRCpNgwYNoFar8eqrr5odf+yxx9ClSxfMnj271MTVkiVLMG/evGLHk5OTodFYv3C60Wg0K86emZoJZTYfc23NaDQiPT0dACCXcyJHdWLfS4P9Lh32vTRs2e/JycnlbmuXn+hxcXGYMGECDh48CHd3dzz33HN45513oFaXPuxbEAS8//77WLFiBRITE9G2bVt89NFHZgVF9+3bh169ehU796mnnsKGDRusfi/VSR1aX9zmiCsiIiK6X3R0NMaOHVtmu9jYWISFhRU7LpfLMXToUEydOhU5OTnQ6XQWz580aRIiIyPF/YSEBISHh8PX1xf+/v6Vv4ES6PV6FAhFUwWDagXBTe1m9fchc4Xflvv5+UGhUEgcTc3CvpcG+1067Htp2LLf8/Lyyt3W7hJXqamp6N27Nxo3boxNmzYhPj4ekyZNQnZ2NpYvX17que+//z7mzJmD9957D61bt8ann36K/v3749ixY2jQoIFZ29WrV5s9kPk5wQp8ZiOurl6FoNdDprS7HzERERFJJDIy0iyhZCseHh7w8PAodlyhUNjkFw7T0VYAoFPr+ItNNZHL5Tb7uVLp2PfSYL9Lh30vDVv1e0WuZ3dZjZUrVyIjIwObN2+Gj48PgLvfoo0bNw4zZ85EUFCQxfNyc3OxcOFCvPHGG3j99dcBAN27d0eTJk3w4YcfYsWKFWbtW7ZsiY4dO9r2ZqqZslYtyHQ6CDk5QEEBCm7cgLpePanDIiIiIidhNBoRHR2NFi1alDjaSgp5BvNvbVVylUSREBERkbXZ3eTQ7du3o2/fvmLSCgCGDx8Oo9GIXbt2lXjewYMHkZGRgeHDh4vH1Go1nnjiCWzbts2mMdsLmUxmtrIgpwsSERFRZV25cgU9e/bE559/jpiYGGzcuBH9+vXDkSNH8Pbbb0sdnhnTEVcahQYymUzCaIiIiMia7C5xFRcXV6ymgpeXFwIDAxEXF1fqeQCKndusWTNcvXoVOTk5ZscHDRoEhUKB4OBgTJkypdjrjkpjVqD9smRxEBERkWNzd3eHp6cn3nnnHQwaNAjPP/88jEYjtm/fjscff1zq8MyYjrhSy0uviUpERESOxe6mCqampsLLy6vYcW9vb6SkpJR6nkajgVarLXaeIAhITU2FTqeDp6cnpk6dih49ekCn02HPnj348MMPERsbi61bt5YaW3Uu7VzZZSeV9ULE7dyLl7hcaCVwqVVpsN+lwX6XDvteGvayrLMj8PHxwY8//ih1GOVSYCwqzK5WMHFFRETkTOwucWVr7dq1Q7t27cT93r17IzAwEOPHj8fhw4cRHh5e4rnVubRzZZedzDOZYnnn7FkkJiZaNa6agEutSoP9Lg32u3TY99Kwl2WdybpMR1xpFNZ9JiMiIiJp2V3iytvbW3ygNJWammpW98rSeXl5ecjNzTUbdZWamgqZTAZvb+8Szx0+fDjGjx+Po0ePlpq4qs6lnSu77GROq1bIvrctXL9ukyWnnR2XWpUG+10a7HfpsO+lYS/LOpN1mU0V5IgrIiIip2J3iauwsLBitazS09ORkJBQrH7V/ecBwJkzZ9CmTRvxeFxcHOrVq2eVlW+qe2nnyiw76dKkMSCTAYIAw+3bEDIyoCwlaUeWcalVabDfpcF+lw77Xhr2sKwzWZdpcXYmroiIiJyL3c1NGDhwIHbv3o20tDTxWHR0NORyOfr371/ieV26dIGHhweio6PFYwUFBdi0aRMGDRpU6ntu2LABANCpU6eqBW8H5K6uUIcU1bnKK6WgPREREZEzyDearypIREREzsPuRlxFRUVh2bJliIiIwMyZMxEfH48pU6YgKioKQUFBYrs+ffrgypUrOH/+PABAq9VixowZmDt3Lvz9/dGqVSusWLECycnJmDx5snjeyJEj0ahRI7Rv3x5arRZ79uzBRx99hIiICHTs2LHa79cWNM3CxBUFc2Pj4Nq5s7QBEREREdkQR1wRERE5L7tLXHl7eyMmJgYTJkxAREQE3N3dERkZiQULFpi1MxgM0Ov1ZsemTZsGQRDw4YcfIjExEW3btsXOnTvRoEEDsU2LFi2wbt06LF68GHl5eahfvz5mzpyJGTNmVMv9VQdtWDNkbt8BAMiNi5U4GiIiIiLbYnF2IiIi52V3iSsAaNasGXbv3l1qm3379hU7JpPJMGPGjFKTUGW97gy0zYpqgeXFcqogEREROTezEVdyjrgiIiJyJnZX44qqTmNSxD7v4kUYc3MljIaIiIjItriqIBERkfNi4soJKf39ofD1vbtjMCDv3HlpAyIiIiKyoQJjgbjNqYJERETOhYkrJySTyaA1GXXFOldERETkzDjiioiIyHkxceWkWOeKiIiIagquKkhEROS8mLhyUpqwZuJ27qlTEkZCREREZFtcVZCIiMh5MXHlpHRtWovbOadPs0A7EREROS2OuCIiInJeTFw5KVVwMJT+/nd3CgqQe+KEtAERERER2Ui+sShxxRFXREREzoWJKyclk8mg69BB3M8+elTCaIiIiIhsx6w4u5wjroiIiJwJE1dOzMUscfW3hJEQERER2Q6nChIRETkvJq6cmEuH9uJ2zj//QDAYJIyGiIiIyDZME1ecKkhERORcmLhyYpqmTSF3dQUAGLOykHfunMQREREREVkfR1wRERE5LyaunJhMoYCuXTtxP/sI61wRERGR88kzmtS4YuKKiIjIqTBx5eRMpwtmHzokYSREREREtsGpgkRERM6LiSsn59q5s7h95+BBCPn5pbQmIiIicjycKkhEROS8mLhyctpWraDw9gYAGO/cQfZRThckIiIi58IRV0RERM6LiSsnJ1Mo4Najh7iftW+fdMEQERER2UCewaTGlZwjroiIiJwJE1c1gFuvnuJ2JhNXRERE5GTyjZwqSERE5KyYuKoBXLt2BZRKAEDBlavIu3RJ4oiIiIiIrIdTBYmIiJwXE1c1gMLdHS4dOoj7WXv2SBgNERERkXWZThVk4oqIiMi5MHFVQ7j37iVup//vJwkjISIiIrIu0xFXKoVKwkiIiIjI2pi4qiE8Bg0CFAoAQN6ZM8iNjZU4IiIiIqKqEwTBrMYVR1wRERE5Fyauagilvz/cunUT99O3bJEuGCIiIiIrKTAWmO0zcUVERORcmLiqQTwfjxC303/aCqGgoOTGRERERA7AtL4VAKjknCpIRETkTJRSB0DVx61XL8g9PWFMT4chJQWZ+/bBo18/qcMiIiIiqjTTxJVaroZMJpMwGiIicgaCICApKQm5ubkwGAxShyMZQRCQm5uLnJyccn++KhQKaLVa+Pn5We0zmSOuahC5RgPPRwaJ+ylfrpYwGiIiIqKqMy3MrlaoJYyEiIicgSAIiI+PR1JSEvLz88s+wYnJZDJoNJoKJaDy8/ORlJSE+Ph4CIJglTg44qqG8X72WaSu3wAIAnL++QfZR4/CpUMHqcMiIiIiqhTTxBXrWxERUVUlJSUhMzMTtWrVgq+vr9ThSEoQBOj1eiiVygolr5KTk3H79m0kJSXB39+/ynFwxFUNo6lfH+4m0wOTv/ivhNEQERERVY3ZVEGOuCIioirKzc2FWq2u8UmrqvD19YVarUZubq5VrsfEVQ3kOzZS3M769VfknDolYTRERERElWc2VVDOxBUREVWNwWCAQqGQOgyHp1AorFYfjImrGkjXqhVcOj8o7t96d6HV5p4SERERVSfTEVecKkhEROR8mLiqoWpNegO4N0c15+hRZGz9WeKIiIiIyB7l5uZi9uzZqF+/PjQaDerVq4cpU6ZIHZYo38ji7ERERM6MxdlrKF2rlvAaNhRp0RsBALc/+ABuPbpD4ekpcWRERERkL4xGI4YMGYKLFy9izpw5qF+/Pq5cuYIzZ85IHZqIqwoSERE5NyauajD/115Dxo6dMGZmQn/7NhJmzUadpR9XaLUAIiIicl6rV6/GoUOHEBsbi8DAQKnDsYjF2YmIiKrmxIkT6NKlCy5evAh/f3+kpaXh448/xpNPPokmTZqI7S5fvowWLVrg1KlTCA0Nrbb4OFWwBlP6+iJg+jRxP3PXLqRt2CBhRERERGRP/vvf/+LJJ5+026QVYD7iSiNnjSsiIqKKeuuttzB69Gj4+/sDANLS0jBv3jycPn3arF1oaCiGDRuGOXPmVGt8TFzVcJ5PPAGPRx4R92++uxBZv++XMCIiIiKyBwUFBfj7778REhKC5557Dq6urnB3d8fw4cNx8+ZNqcMTcaogERFR5V28eBE//fQTxowZU672L7zwAtavX4/ExEQbR1aEUwVrOJlMhtrz5iLn5AkUXLkKFBTg+sSJqLfq/+DSvr3U4REREZFEkpOTUVBQgPfffx89evTA5s2bkZiYiKlTp+KJJ57AwYMHSzw3IyMDGRkZ4n5CQgKAu0uMW2tp7EK5+lxxWyVXWf36VDKDwQCj0cg+lwD7Xhrsd+lUZ98LggCZTAZBEGz+XrbWq1cvuLm54aeffhKPHTt2DO3bt8eePXvQs2dPfPXVV2jQoAHatm0LQRBw+fJlNGjQAAAwfPhw8byLFy8iNDQUXbt2ha+vL9atW4dXX3211PcXBKHEn1lFfpZMXBEUbm6ou3IlrvxnJAwpKRBycnD1hUjU+fADuPfpI3V4REREZCXp6eliEqk0DRo0gNFoBAC4u7tj06ZN0GjuTsMLCAhAv379sGfPHvTu3dvi+UuWLMG8efOKHU9OThavYy0p6SnitrHAWK3fANd0RqMR6enpAAC5nBM5qhP7Xhrsd+lUZ9/n5uZCo9FAr9eLxwRBQIGxwKbvW14quarcdakFQYAgCGb3UrhtMBig1+uxe/duPPjgg+Jxf39/fP/99xg+fDjefvttdO/eHXK5HP7+/mKb8PBw/PLLL3jllVdKfG+j0Yi8vLwSP5eTk5PLdQ8AE1d0j6Z+fdT97xe4Omo0jFlZEHJycH38BPhPnADfsWMhU/KvChERkaOLjo7G2LFjy2wXGxuLevXqQSaToUuXLmbJpp49e0KhUODUqVMlJq4mTZqEyMhIcT8hIQHh4eHw9fUV62dYi+qmStz2dPG0+vWpZIXflvv5+UGhUEgcTc3CvpcG+1061dn3OTk5kMlkUJr8DpxvyMeD6x+06fuW15H/HIFKoSq7Ie7OsLr/Xgq3FQoFFAoFjh49ioiICPG4UqlEx44dAQBNmjRB586doVQqzZJlbdu2xYoVK8yuez+5XA6tVlvi53JeXp7F45YwG0EiXYsWqLdmDa69HAVDYhIgCEhc+gky9+1D4Ny50DZrJnWIREREVAWRkZFmCaWylLZiUG5ubomveXh4wMPDo9jxwodka8o3mhRnV2r4y2Q1k8vlNvm5UtnY99Jgv0unuvq+MEFjmqgp7win6lCYjKroOfdvy2QypKWlIS8vD7Vq1SqxjemfQv7+/khKSoJer4dKVXISTSaTlfjzqsjP0S7HN8bFxaFfv35wdXVF7dq1MXXqVOTn55d5niAIeO+991CvXj3odDp07twZf/75Z7F2N27cwNChQ+Hu7g4fHx9ERkaa1WGoyXQtW6D+d99B07SpeCz3+L+49MRQxE+ditwzZyWMjoiIiKrT4MGDceDAAbMk1Z49e2AwGNChQwcJIytiOnWDxdmJiIjKr/DzvaLT+Avbl/YlljXZ3Yir1NRU9O7dG40bN8amTZsQHx+PSZMmITs7G8uXLy/13Pfffx9z5szBe++9h9atW+PTTz9F//79cezYMbG4WEFBAQYMGAAA+Pbbb5GdnY3JkyfjmWeewdatW21+f45AFRSE0O+/Q+LST5CyejUgCIAgION/PyHjfz/BpVMneDwyCO59+0Lp5yd1uERERGQjU6ZMwddff40hQ4bg1VdfRWJiIqZPn45u3bqhV69eUocHAMgzFE010CisWz+LiIgIuFtX6ujIo1KHAeBuLOWl1WqLDQJKTU0Vt318fAAAaWlpFYohLS0NarUa7u7uFTqvsuwucbVy5UpkZGRg8+bNYifq9XqMGzcOM2fORFBQkMXzcnNzsXDhQrzxxht4/fXXAQDdu3dHkyZN8OGHH2LFihUAgI0bN+LUqVOIjY1F03ujiry9vTFgwAAcPnwY4eHh1XCX9k+u0SBg6hR4PDwAtxYtQs6Ron+k2X/9hey//sLNefOhbd0KLu07QNe+HbTNmkMVFAgZCxUSERE5hbp162Lv3r147bXXMHToULi4uCAiIgKLFy+2m2kT+YaiB3KOuCIiIluQyWQO+RkTHByMX375RVwpEQB27dolvq7ValGvXj1cunTJ7Dy1+u69ljSi6vLly2jSpImNoi7O7hJX27dvR9++fcWkFXB3CcaoqCjs2rULo0ePtnjewYMHkZGRYbZco1qtxhNPPIFNmzaZXb9169Zi0goA+vXrBx8fH2zbto2Jq/voWrdGyNdf487vvyNlzVe4Y7r0tSAg9/i/yD3+L7B6NQBAptVCHRoKdf1QqGoFQOnvB4WfH5R+/lB4e0Hh6gr5vT8ync5uHnqJiIjIsrZt22Lfvn1Sh1EijrgiIiKybNiwYVi1ahUmTJiAiIgIHDx4EBs3bjRr07VrVxw9aj6arHbt2vDy8sKGDRtQr149uLi4oE2bNmJC68iRI+jevXu13YfdJa7i4uIwZswYs2NeXl4IDAxEXFxcqecBQFhYmNnxZs2a4erVq8jJyYFOp0NcXFyxNjKZDGFhYaVevzTZ2dm4c+eOxddUKpX4wy1sKwhCiddSKpVm80vLmjMql8uh0+nE/by8PLOlLu8nk8ng4uIi7hcUFJRZP8zFxQVuPXrArUcPZJ8/j6Rdu5C5dx/yz1qodyUIMJw5g7x7fWmUyZCvLiEzLZdDrtNBrVRCKZdDplJBplIhV6uFTKm8+0elAhQKyOQyADJALocSgEoGyO7t58rlEGQyszYw2VcAUJskyPLuxVViHxmNQF4u9BotZDIZ8gEYCttbOk0AdCa7egAFZeTjtAJQeEkDgLIquGlQVJBOAGD6t8JS8k8F83/cOWVcXwlAZXJzuffepyQKAKY/1XzcvY+SyABoTfYLcLefTAmCgLz8PGSpNZDJZMX7tJTr4971C+/AiLs/59Kocfc+gOJ9aklF+/T+PiqrT+W4+3MuZI0+vZ+lPr2/302Z/r2rjj6t6N+7vHtxlUSqPi2NaZ8aBAEZJfR9IWfr04r+W67o/x/L8/dUJQgoyMuF64gRcHvgAWRnZ5faXq1WmxUdLe1zvKxrkW2YjriqyPQJIiIiZ/fwww9j0aJFWLZsGdasWYNBgwZh5cqV6Nu3r9hm2LBh+M9//oPMzExx6p9cLsfq1asxc+ZMDBgwAHl5ebh06RJCQ0Nx+/ZtHD16FAsXLqy2+7C7xFVqaiq8vLyKHff29kZKSkqp52k0Gmi1WrPj3t7eEAQBqamp0Ol0lb4+AGRkZJgVcU9ISAAA7N+/H34l1Hpq2rQpGjVqJO7/8ccfJSa5gLtD+dq0aQODwQCj0Yjjx48jKSmpxPbe3t7o0qWLuH/27Nliw/xMqdVq9OvXT9y/evUqTp06VWJ7AOjfv7/40J7p7o5jwcHAsyNhzM6GITER+uRkGJKTYcjMBAwGNDsdC9d791igUuFk61alXr/+xYvwvV3U9/907ACh8Jc4o+HuHxNB8TcQdOOGuH+yZUvk6sx/7qZ8klPQ4OJFcf98o0ZI8/Yqsb3LnWw0P31a/GXpenAwbgbWLrG9wmBAu7//EfcT/f1xJTSkxPYA0OafY1DdSzBmurvjTFjTUtuHxcbBLSsLAJCvUuHftm1KbR966RL8kpLF/b87tIexlCmcgTcSUCc+Xtw/1aIFclx0Jbb3TklFwwsXxP0LDRsi1ce7xPa67By0MPl7Fl+nDhKCAktsLzca0f7o3+J+kp8vLtevX2J7AGh97DjUBXd/Jc5yc0Ncs7BS2zeNOwP3zEwAQIFSiePt2pbaPuTyFfgnJor7/7RvB0MpK2HUTriJ4OvXxf3TzZsj29WlxPZeqWlodP68uH+xQQOk+PqU2F6bk4uWJ0+K+zeCgnCjjuWp1AAgEwR0MJnym+zrg0v3av+VpNXxf6G5l9i+4+qK2Oalryza5MxZeNz7f6ReocCx9u1KbV/vylXUun1b3D/Wri30pSypG3DzFupeuybuxzULQ5abW4ntPdPS0fjcOXH/Uv36SPbzLbG9JjcPrU6cEPcTAgMRH1yn1Hvo+NcRcTvF2xsXGzUstX3Lf09Ae2/p32wXF5xu0bzU9o3OnoNXejoAwCCX458O7UttX/fqNQTcuiXuH2/TBgXqkn+Rr3X7NupduSrunwlrisxSahV4ZGSgickiHZdDQ5HkX3KtQ3VePlr/+6+4f7N2bVyvG1zqPbQ/chTye4mhVC8vXGjcqNT2LU6ehC7nbkovR6fFqZYtS23f8Nx5eKelIa9zZ2g7dEBMTEyp7cPCwtCwYdHP9cCBA8jJsZy6Lu3zmmzHNHHFEVdERETmpkyZgilTppgdM/0S7tFHH4WXlxc2b96M5557TjweERGBIUOGQK/XQ6lUil+0RkdHIzQ0tFprXdpd4sqeLVmyBPPmzSt2PC8vr8SRUenp6Ug0+WU3Ozu71FFUmZmZSExMhNFoRHp6OrKyskptf+fOHbPrZ2RklNreYDCYtU9PTy9zVFdiYqKYuEpNTS1qL5cDAQGQBQRACUAhCEBODlweewy6pCQIKakQUlMgByDk5gEF+RD0ekCvB4ylfadPRERkW1lZWchPTCzzM9DS53henuVxXSUdJ9synSroiPVHiIiIpKRSqTB9+nQsXbrULHFlidFoxNKlSzF79uxqLftjd4krb29vpN/7dtlUamqqWd0rS+cVJpBMR12lpqZCJpPB29u7zOvXrVu31NgmTZqEyMhIcT8hIQHh4eHo2bMn6tSx/K38/VMFe/bsWa6pggbD3VFGJV230P1TBT08PNCqVckjnO6fKujl5WU2IswSFxcX8S+lj49PmTFptVoo7o1EMRqNCLbwzbRQUABjdg6MOdl3p8IYjRD0eggFBfDJygL0BggFBXeP6fV3VzbE3dUNlQBUcgUgGAFBgGd+PowC7q1+ePeYYBTEfaVMBrXJaCNPgwGGUn4GEAB9v35wc3ODXC6Dl9GIMKOxxPk2MpkMukGPiPs+RiPql5GY0/XrL/apryAg0FjaZBtA068/FPfaC4IAn3vtS7oNtUwGpck9dzeUfn2lDGZ99KDBUOp0IYVMBo1Jew+jsdQ+lQPQDnlM3Pc0GtHkvvaC0Yg7d7Lh6uoCmVwOl3urfwKAt9GIkNJ+ZgB0ffsW/T0VBASU8TPQ9O1r1qdeZbS31KelRXT/37sHyupTABqTEVyeRiP0ZfXpY4+K+15GIxqX0Ucu/fuL295GI+oJQrF+N6Xt2xdykz6tVcE+faiM9iqZDCqT9+xWwT51t0WfPjpY3PcyGtGorD41GcHqbTSibhntTfvUYDBAl5llse8LVbVPu1q5T+UAtBXoUxkA3eCi/z96GY1oWMF/y8Fl3LNpnxoFAX5l/Vvu3Rs5d7Lh16ULtLVq4eGHHy69/X1TBXv37l3i53i8ychVqj4jm49Ez+CeSMlIQVPv0kcwExERUXFRUVHIyMhAUlJSibPJAODGjRsYPXo0Ro4cWY3R2WHiylKtqfT0dCQkJBSrTXX/eQBw5swZtGlTNI0qLi4O9erVE5M7YWFhOGEyFQS4+8vAmTNnzKbQWeLh4QEPD49ix93d3S0et6Qiy0XK5XK4urqKSaDyME1KlYdCoSg2vbKs9uqSalaV0N70gd9MCTN2Sp74Y1nJE9Qqp3BUmo+/f4X6nqqmsN/92e/Viv0uHYPBAIF9X+0K/87r7vV7eT+/C5X2OW5aToCqT4/gHkX/L/PwlzocIiIih6PRaDBr1qwy2wUHB2PmzJnVEJG5koveSGTgwIHYvXs30tLSxGPR0dGQy+XobzJa4H5dunSBh4cHoqOjxWMFBQXYtGkTBg0aZHb948eP45xJ3ZOYmBgkJyebtSMiIiIiIiIiImnZXeIqKioK/9/evcdUXf9xHH8dQMUIBOFMEVxIeRuJWCiVf5iWoqMML8PsD2/TxdrQ5bS0i+a9LckurtQ/vGxW5qWLIZpaWrmsNNMpgy0NTRnV2ZHLvCBwzvn9YZIM8Kcg38+Xc56PzQ2+5/s9533e7Bxfe5/v+XzDw8OVmZmpvXv3asOGDZo7d66ys7PVrdt/Cw8/8cQT9b7iFhoaqvnz52vlypV699139e2332rixIlyu92aM2dO3X7jx49XUlKSxo0bp7y8PG3dulXTpk1TRkaGBg0aZOlzBQAAAAAAQNNs91XBqKgoffPNN8rJyVFmZqbCw8M1ffp0LVu2rN5+Ho9HtbX1L1T+8ssvy+fzaeXKlXK5XEpJSdHXX3+txJuunNWuXTvt2bNHM2fO1MSJExUSEqKxY8dq1apVljw/AAAAAABgT8HBwaqurv7/O+KWPB7PHS0zdCu2G1xJUt++fbV///5b7nPw4MEG2xwOh+bPn6/58+ff8ti4uDjt2LGjJSUCAAAAAAA/ExoaqkuXLsntdis6uomFmXFLbrdb1dXVd7yWaFNsObgCAAAAAACwWkxMjK5du6Z//vlH5eXlAX8RHa/Xq6AmroDdGI/Ho+rqaoWHh9/yCoV3wnZrXAEAAAAAAJjgcDgUFxenmJiYu/ZVt7bK5/Pp2rVr8vl8t31M+/btFRMTo7i4ODkcjrtSB2dcAQAAAAAA/MvhcMjpdJouwziPxyOXyyWn02n0zDPOuAIAAAAAAIAtMbgCAAAAAACALTG4AgAAAAAAgC0xuAIAAAAAAIAtsTh7C9TW1kqSSktL7/p9ezweud1uXbt2LeAvv2k1em8GfTeDvptD781ozb7fyAM38gH+05qZSeL1ZAp9N4fem0HfzaH3ZtglNzG4agGXyyVJGjRokOFKAACAXbhcLiUkJJguw1bITAAAoDG3k5scPp/PZ005/qeqqkonT56U0+lUSMjdnQGWlpZq0KBB+uWXXxQbG3tX7xu3Ru/NoO9m0Hdz6L0Zrdn32tpauVwu9evXT6GhoXf1vtu61sxMEq8nU+i7OfTeDPpuDr03wy65iTOuWiA0NFQDBw5s1ceIjY1VfHx8qz4GGkfvzaDvZtB3c+i9Ga3Vd860apwVmUni9WQKfTeH3ptB382h92aYzk0szg4AAAAAAABbYnAFAAAAAAAAW2JwZVMRERFauHChIiIiTJcScOi9GfTdDPpuDr03g777J/6uZtB3c+i9GfTdHHpvhl36zuLsAAAAAAAAsCXOuAIAAAAAAIAtMbgCAAAAAACALTG4AgAAAAAAgC0xuAIAAAAAAIAtMbiymaKiIg0fPlxhYWHq2rWrXnrpJVVXV5suy++dPn1a2dnZSklJUUhIiB588EHTJQWEbdu26ZlnnlF8fLzCwsKUkpKi9evXi2tGtL78/HwNGTJETqdTHTp0UGJiombPnq2KigrTpQWMS5cuKT4+Xg6HQ0ePHjVdjl/buHGjHA5Hg3/z5s0zXRpaiNxkBrnJDHKTOeQmeyA7Wcdu2SnEyKOiUWVlZRo2bJh69uypzz77TCUlJZo9e7auXLmi1atXmy7PrxUUFGjXrl1KS0uT1+uV1+s1XVJAePvtt5WQkKDc3Fw5nU7t27dPM2bM0Pnz57Vw4ULT5fm1ixcvKi0tTTNnzlR0dLROnTqlN954Q6dOndLevXtNlxcQlixZotraWtNlBJQ9e/aoU6dOdb/HxcUZrAYtRW4yh9xkBrnJHHKTPZCdrGeb7OSDbSxfvtwXFhbmc7vdddvWrl3rCw4O9pWUlBiszP95PJ66nydPnuxLSkoyWE3gcLlcDbbNmDHDFxERUe9vAmusW7fOJ4n3GwsUFhb6wsLCfGvWrPFJ8h05csR0SX5tw4YNPkmNvueg7SI3mUNuMoPcZC/kJmuRnaxlt+zEVwVtZPfu3XryySfVuXPnum1ZWVnyer1M8ltZUBAvBRNiYmIabBswYIAqKyt1+fJlAxUFtujoaEniazYWyMnJUXZ2tnr37m26FKDNIjeZQ24yg9xkL+Qma5GdAhv/69hIUVGR+vTpU29bZGSkYmNjVVRUZKgqwFqHDh1SXFycwsPDTZcSEDwej6qqqnTs2DEtXrxYo0ePVkJCgumy/Nr27dt18uRJLViwwHQpAScpKUnBwcFKTEzUihUr5PF4TJeEFiA3AeQmq5GbzCA7mWOX7MQaVzZSVlamyMjIBtujoqJ08eJF6wsCLHbo0CFt2bJFubm5pksJGPfdd59KSkokSSNHjtTHH39suCL/duXKFc2ePVvLly9XRESE6XICRmxsrBYtWqS0tDQ5HA7t3LlTr732mkpKSlgLqQ0jNyHQkZusR26yHtnJDLtlJwZXAGzhwoULmjBhgoYOHaqZM2eaLidg5Ofn6/LlyyooKNDSpUv19NNPa9++fQoODjZdml9aunSpunTpoqlTp5ouJaCkp6crPT297vcRI0aoY8eOWrVqlV599VXFxsYarA4A7hy5yQxyk/XITmbYLTvxVUEbiYqKavSSqmVlZfXWbwD8TXl5uUaNGqXo6Gjt2LGDtTMslJycrEcffVTTp0/Xl19+qQMHDujzzz83XZZfOnfunHJzc7Vo0SJVVFSovLxcly5dknT98s43foY1srKy5PF4dPz4cdOloJnITQhU5CZzyE3WIjvZi8nsxBlXNtKnT58GazJUVFSotLS0wRoOgL+4evWqnnrqKVVUVOjw4cP1LrcKayUnJ6tdu3Y6ffq06VL8UnFxsaqrq5WRkdHgtqFDhyotLU0//fSTgcqAtonchEBEbrIPclPrIzvhBgZXNjJq1CgtX75c5eXldWs2bNu2TUFBQRoxYoTZ4oBWUFtbq6ysLBUWFuqHH35QXFyc6ZIC2s8//6yamholJiaaLsUvpaSk6MCBA/W2HT9+XC+++KLWrFmjgQMHGqosMG3ZskXBwcEaMGCA6VLQTOQmBBpyk72Qm1of2cleTGYnBlc2kp2drffff1+ZmZl65ZVXVFJSorlz5yo7O1vdunUzXZ5fu3LlivLz8yVdPyW1srJS27dvlyQNGTJETqfTZHl+64UXXlBeXp5yc3NVWVlZ7xOTAQMGqEOHDgar829jx45VamqqkpOT1bFjR504cUJvvfWWkpOTlZmZabo8vxQZGanHH3+80dsefvhhPfTQQ9YWFEDS09M1bNgw9evXT5K0c+dOrVu3TrNmzVLXrl0NV4fmIjeZQ24yg9xkDrnJDLKTOXbLTg6fz+ez/FHRpMLCQuXk5OjHH39UeHi4Jk2apGXLlql9+/amS/NrZ8+eVY8ePRq97cCBA02+YaJlEhISdO7cuUZvKy4u5vLCrejNN9/Up59+qjNnzsjr9SohIUFjx47VnDlzuGKLhQ4ePKihQ4fqyJEjSk1NNV2O35o1a5Z2796tCxcuyOv1qlevXpo+fbpycnLkcDhMl4cWIDeZQW4yg9xkDrnJPshO1rBbdmJwBQAAAAAAAFviEhQAAAAAAACwJQZXAAAAAAAAsCUGVwAAAAAAALAlBlcAAAAAAACwJQZXAAAAAAAAsCUGVwAAAAAAALAlBlcAAAAAAACwJQZXAAAAAAAAsCUGVwAAAAAAALAlBlcAcJMvvvhCH3zwwW3vX1VVpe7du2vXrl23tb/X61Xv3r310UcfNbdEAAAA48hMAKzC4AoAbnKnIezDDz9UVFSUMjIybmv/oKAgzZs3TwsXLlRtbW1zywQAADCKzATAKgyuAKCZfD6f3nvvPU2dOvWOjpswYYL++usv5eXltVJlAAAA9kFmAtASDK4A4F9TpkzRpk2bVFBQIIfDIYfDoSlTpjS5/3fffaezZ89q/Pjx9bbv3LlTqampuvfeexUZGanU1FTl5+fX3X7PPfcoIyNDmzZtaq2nAgAA0GrITACsFGK6AACwi9dff10ul0tFRUV16yk4nc4m99+/f7+6d++u7t271207c+aMxo8fr4kTJ2rFihXyer06ceKEysrK6h372GOPacGCBfJ6vQoK4jMEAADQdpCZAFiJwRUA/Ov++++X0+nUuXPn9Mgjj/zf/Y8cOaLk5OR623777TfV1NRo9erVCg8PlySlp6c3OLZ///6qrKxUYWGhkpKS7s4TAAAAsACZCYCVGFkDQDOVlpY2+HQxOTlZwcHBeu655/TVV1+poqKi0WNjYmLq7gMAAMCfkZkAtASDKwBopqqqKnXo0KHetl69eikvL08VFRUaM2aMnE6nRo8erT///LPefjeOu3r1qmX1AgAAmEBmAtASDK4AoJk6d+6s8vLyBttHjhyp77//XhcvXtTmzZv166+/NriKzo3joqOjLagUAADAHDITgJZgcAUAN2nfvr2qqqpua9/evXuruLi4ydsjIiKUlZWlZ599VoWFhfVuO3v2rKTrnzYCAAC0NWQmAFZhcXYAuEnfvn21fv16ffLJJ+rZs6diYmKUkJDQ6L6DBw/W1q1bVVNTo3bt2kmS1q5dq8OHD2vkyJGKjY1VcXGxNm/erBEjRtQ79ujRo+rbt2/dug0AAABtCZkJgFUcPp/PZ7oIALCLyspKPf/889q3b5/cbrcmT56sjRs3Nrrv33//rfj4eOXn52v48OGSpMOHD2vZsmU6duyY3G63unbtqjFjxmjJkiV1V8yRri9ImpmZqcWLF1vxtAAAAO4qMhMAqzC4AoAWGDdunDp16qT169ff9jEFBQXq37+/fv/9d/Xo0aMVqwMAALAHMhOA5mJwBQAtcPz4cQ0ePFh//PGHunTpclvHTJs2TZLuKLgBAAC0ZWQmAM3FGlcA0AIpKSl65513dP78+dsKYV6vVw888IAmTZpkQXUAAAD2QGYC0FyccQUAAAAAAABbCjJdAAAAAAAAANAYBlcAAAAAAACwJQZXAAAAAAAAsCUGVwAAAAAAALAlBlcAAAAAAACwJQZXAAAAAAAAsCUGVwAAAAAAALAlBlcAAAAAAACwJQZXAAAAAAAAsKX/AUc3kPJ9kvy3AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, @@ -225,33 +274,53 @@ } ], "source": [ - "deltas = np.linspace(-2.0, 2.0, 41)\n", - "lam_plus = []\n", - "for dv in deltas:\n", - " r = opt.two_sided_intensities(1.0, 1.0, 0.5, 0.5, dv, -dv)\n", - " lam_plus.append(r['lambda_plus'])\n", - "lam_plus = np.array(lam_plus)\n", - "fig, ax = plt.subplots()\n", - "ax.plot(deltas, lam_plus, lw=2)\n", - "ax.set_xlabel('ΔV_+'); ax.set_ylabel('λ*_+')\n", - "ax.set_title('Optimal upward intensity vs value-function gradient')\n", - "ax.grid(alpha=0.3); fig.tight_layout(); plt.show()\n" + "g, ell, m = 9.81, 1.0, 1.0\n", + "a, b = g / ell, 1.0 / (m * ell ** 2)\n", + "res = opt.pontryagin_lqr(a, b, q=10.0, r=1.0, s_terminal=1.0,\n", + " x0=0.3, t_horizon=5.0, n_steps=500)\n", + "ts = np.array(res['time_grid'])\n", + "theta = np.array(res['state'])\n", + "u = np.array(res['control'])\n", + "\n", + "print(f\"Angle initial : {theta[0]:.3f} rad ({np.degrees(theta[0]):.1f}°)\")\n", + "print(f\"Angle final : {theta[-1]:.3e} rad\")\n", + "print(f\"Effort max : {np.abs(u).max():.3f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", + "axes[0].plot(ts, theta, lw=2, color='C3', label=r'$\\theta(t)$')\n", + "axes[0].axhline(0, ls='--', color='gray', alpha=0.6)\n", + "axes[0].set_xlabel('t (s)'); axes[0].set_ylabel(r'$\\theta$ (rad)')\n", + "axes[0].set_title(\"Stabilisation du pendule inversé\")\n", + "axes[0].legend()\n", + "ts_u = ts[:len(u)]\n", + "axes[1].plot(ts_u, u, lw=2, color='C2', label='u(t)')\n", + "axes[1].set_xlabel('t (s)'); axes[1].set_ylabel('u (couple)')\n", + "axes[1].set_title(\"Couple appliqué (LQR)\")\n", + "axes[1].legend()\n", + "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "09d2a422", + "id": "f6c1b078", "metadata": {}, "source": [ - "**Verified:** switching `V_0` matches analytic recursion exactly; Pontryagin `P(0) = 0.4999` against analytic `0.5`." + "**Résultat attendu.** $\\theta \\to 0$ rapidement, effort borné.\n", + "\n", + "**Lecture du graphique.** Décroissance exponentielle de l'angle ;\n", + "couple initial fort puis amorti.\n", + "\n", + "**Conclusion.** Le primitive transforme un système naturellement\n", + "instable ($a = 9.81 > 0$) en système stable, illustration directe\n", + "du contrôle optimal.\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/13_quadratic_impact.ipynb b/examples/notebooks/13_quadratic_impact.ipynb index 57a3f31..e7d4c7e 100644 --- a/examples/notebooks/13_quadratic_impact.ipynb +++ b/examples/notebooks/13_quadratic_impact.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "c50e4dfe", + "id": "5298c815", "metadata": {}, "source": [ - "# 13 — Quadratic-impact controlled SDE" + "# 13 — Quadratic-impact control\n", + "\n", + "Doc page: [quadratic_impact_control.rst](../../docs/source/algorithms/quadratic_impact_control.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "fe0fb749", + "id": "2784f52d", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:10.197004Z", - "iopub.status.busy": "2026-05-12T10:16:10.196701Z", - "iopub.status.idle": "2026-05-12T10:16:10.857514Z", - "shell.execute_reply": "2026-05-12T10:16:10.856390Z" + "iopub.execute_input": "2026-05-12T14:05:39.068751Z", + "iopub.status.busy": "2026-05-12T14:05:39.068281Z", + "iopub.status.idle": "2026-05-12T14:05:39.780916Z", + "shell.execute_reply": "2026-05-12T14:05:39.779456Z" } }, "outputs": [], @@ -25,30 +27,43 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", - "id": "e0b5bfa5", + "id": "c41c1654", "metadata": {}, "source": [ - "## Riccati fixed-point check\n", + "## Cellule 1 — Riccati générique sur un horizon fini\n", "\n", - "$h'(t) = h(t)^2/γ - φ$ with $h(T) = A$. When $γ = φ = A = 1$ the right-hand side is $h^2 - 1 = 0$ at $h = 1$, so `h ≡ 1`." + "**Théorème (HJB quadratique 1-D).** Pour $dq_t = u_t\\,dt + \\sigma\\,dW_t$\n", + "et coût $L(q, u) = \\gamma u^2 + \\varphi q^2$, $g(q) = A q^2$, la\n", + "fonction valeur est $V(t, q) = h(t) q^2$ avec\n", + "$$h'(t) = h(t)^2 / \\gamma - \\varphi,\\qquad h(T) = A.$$\n", + "Le feedback optimal est $u^*(t) = -(h(t)/\\gamma)\\,q(t)$.\n", + "\n", + "**Équation pivot.** Pour $\\gamma = \\varphi = A = 1$, le point fixe\n", + "est $h^* = 1$ (car $h^2 - 1 = 0 \\Rightarrow h = 1$).\n", + "\n", + "**Ce que la cellule vérifie.** Le primitive\n", + "`quadratic_impact_control_py(gamma=1, phi=1, A=1, T, n)` retourne\n", + "$h(t) \\equiv 1$ et donc un gain de feedback unitaire.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "959f0a2a", + "id": "ea45dc8d", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:10.860816Z", - "iopub.status.busy": "2026-05-12T10:16:10.860419Z", - "iopub.status.idle": "2026-05-12T10:16:10.868124Z", - "shell.execute_reply": "2026-05-12T10:16:10.865384Z" + "iopub.execute_input": "2026-05-12T14:05:39.784224Z", + "iopub.status.busy": "2026-05-12T14:05:39.783876Z", + "iopub.status.idle": "2026-05-12T14:05:40.235857Z", + "shell.execute_reply": "2026-05-12T14:05:40.234066Z" } }, "outputs": [ @@ -56,38 +71,101 @@ "name": "stdout", "output_type": "stream", "text": [ - "h drift from 1: 0.0\n" + "max |h(t) - 1| = 0.000e+00\n", + "Feedback gain : k(0) = 1.0000, k(T) = 1.0000\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "res = opt.quadratic_impact_control_py(\n", - " gamma=1.0, phi=1.0, a_terminal=1.0,\n", - " t_horizon=0.5, n_steps=500,\n", - ")\n", - "tg = np.array(res['time_grid'])\n", - "h = np.array(res['h']); k = np.array(res['feedback_gain'])\n", - "print('h drift from 1:', float(np.max(np.abs(h - 1.0))))\n" + "res = opt.quadratic_impact_control_py(gamma=1.0, phi=1.0,\n", + " a_terminal=1.0,\n", + " t_horizon=0.5, n_steps=500)\n", + "ts = np.array(res['time_grid'])\n", + "h = np.array(res['h'])\n", + "k = np.array(res['feedback_gain'])\n", + "\n", + "err = float(np.max(np.abs(h - 1.0)))\n", + "print(f\"max |h(t) - 1| = {err:.3e}\")\n", + "print(f\"Feedback gain : k(0) = {k[0]:.4f}, k(T) = {k[-1]:.4f}\")\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(ts, h, lw=2, label=r'$h(t)$')\n", + "ax.plot(ts, k, '--', lw=2, label=r'$k(t) = h(t)/\\gamma$')\n", + "ax.axhline(1.0, ls=':', color='gray', alpha=0.6, label='point fixe = 1')\n", + "ax.set_xlabel('t'); ax.set_ylabel('value')\n", + "ax.set_title(\"Riccati quadratique scalaire\")\n", + "ax.legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "32009801", + "metadata": {}, + "source": [ + "**Résultat attendu.** $h(t) \\equiv 1$ à précision machine.\n", + "\n", + "**Lecture du graphique.** Lignes plates à 1.\n", + "\n", + "**Conclusion.** Le primitive est validé sur le point fixe analytique.\n" + ] + }, + { + "cell_type": "markdown", + "id": "ad7c6258", + "metadata": {}, + "source": [ + "## Cellule 2 — Étude paramétrique : pénalisation $\\varphi$\n", + "\n", + "**Théorème.** Le point fixe $h^* = \\sqrt{\\gamma \\varphi}$ croît\n", + "avec $\\varphi$.\n", + "\n", + "**Équation pivot.**\n", + "$$h^* = \\sqrt{\\gamma \\varphi},\n", + " \\qquad k^* = h^*/\\gamma = \\sqrt{\\varphi/\\gamma}.$$\n", + "\n", + "**Ce que la cellule vérifie.** Sweep $\\varphi \\in \\{0.1, 1, 4, 10\\}$ :\n", + "$h(0)$ s'aligne sur $\\sqrt{\\varphi}$ pour $\\gamma = 1$.\n" ] }, { "cell_type": "code", "execution_count": 3, - "id": "e1e343d8", + "id": "06bd916e", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:10.872019Z", - "iopub.status.busy": "2026-05-12T10:16:10.871475Z", - "iopub.status.idle": "2026-05-12T10:16:11.159776Z", - "shell.execute_reply": "2026-05-12T10:16:11.158761Z" + "iopub.execute_input": "2026-05-12T14:05:40.239729Z", + "iopub.status.busy": "2026-05-12T14:05:40.239404Z", + "iopub.status.idle": "2026-05-12T14:05:40.631944Z", + "shell.execute_reply": "2026-05-12T14:05:40.630049Z" } }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phi= 0.10 : h(0) = 0.3162, h* = 0.3162\n", + "phi= 1.00 : h(0) = 1.0000, h* = 1.0000\n", + "phi= 4.00 : h(0) = 2.0000, h* = 2.0000\n", + "phi=10.00 : h(0) = 3.1623, h* = 3.1623\n" + ] + }, { "data": { - "image/png": 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", + "image/png": 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DtHXrVsXFxWny5MlVqgcATGX11+ECwNXus88+M2bNmmV069bNaNasmeHj42P4+/sbt9xyi7FgwQLD4XC4zS8oKDBWrFhhdO/e3WjSpInh5+dnREREGCNHjjQ2btzomlf0iIVdu3YVe88HH3zQ7REeubm5xlNPPWV0797dCA0NNXx9fY1WrVoZo0ePNj7//HO3Zct69MnHH39sLFiwwIiIiDAaNGhgtGvXznj++efLXb608dLmvv/++0Z0dLRht9sNSUbv3r0r3Z+ynDlzxrj//vuNoKAgo2HDhsatt95q7Ny5s1jfzHjPTz75xJBkvPLKK8V+Nn/+fEOSceTIkXJrdjqdxpIlS4x27doZdrvdaNGihfHoo48a6enppT4CJDk52Rg0aJDRuHFjw9/f3xg0aJDx7bffVvjRJ4Zxad9ZsmSJ0blzZ8PPz8/w9/c3unTpYsybN89tXnp6ujFt2jSjdevWRoMGDYzQ0FDjnnvuMb777rsS11uZnpb2+UobL22/qshnKW3Zmvi9LFLW/l6azZs3GzfeeKPh7e1tSDLsdrvRtWtXY+3ateUuCwC1xWYYhlG78RYAAABmmD17thYvXqwTJ07o2muvtbocAHDDPZsAAAB11MGDBxUYGEjQBOCRCJsAAAB11MGDBz3qMTEAcDnCJgAAQB3kcDh0/PjxEh+pAwCegHs2AQAAAACm48wmAAAAAMB0hE0AAAAAgOl8rC7AU+Tk5OjgwYMKCwuTjw9tAQAAAIArFRQU6Ny5c+rcubP8/PzKnEuq+j8HDx5Ut27drC4DAAAAADzeF198oa5du5Y5h7D5f8LCwiRdalp4eLjF1bhzOp1KS0tTSEiIvL29rS6n3qH/1qL/1qL/1qL/1qL/1qL/1qL/1vPUbZCamqpu3bq58lNZCJv/p+jS2fDwcLVq1criatw5nU7Z7XaFhYV51I5WX9B/a9F/a9F/a9F/a9F/a9F/a9F/63n6NqjIrYd8QRAAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKbjC4IAAABQbxiGofPnzysnJ0dOp9PqcjyWYRjKyclRdna2bDab1eXUS7W9Dby9veXn56fQ0FDT3o+wCQAAgHrBMAydPn1a//73v+Xr6+uR3/DpKWw2m+x2O0HTQrW9DfLy8vTLL78oNzdXLVu2NOV9CZsAAACoF86fP69///vfuuaaaxQSEmJ1OR7NMAwVFBTIx8eHwGkRK7ZBWlqazp49q/Pnz1foOZrl4Z5NAAAA1As5OTny9fUlaAKlCAkJka+vr3JyckxZH2ETAAAA9YLT6eTSWaAc3t7ept3PTNgEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0PPrEwxl5eco7dUrO9HTlXbwoby/+fqC2OQsL6b+F6L+16L+16L+16L+1aqL/hb/8IlvDhirMzTVlfVc7o6BARmGhDKsLqceMggLJ21uqo4+fIWx6uPwzZ3Rs0H9JkhwW11Lf0X9r0X9r0X9r0X9r0X9rmdn/3LgJ8o+JUe4PP5i41qubOd9Jai3DMGSz2fTIH/6gVxYudL2uK3zatZPNbre6jCohbAIAAAC4aq3fulXHTp1Sdm6uPvznP/Xezp16ae7cOhU46yrCpodr0KKFIra9r/T0dAUHB3MZjwWchYX030L031r031r031r031o10f9T/3cZrb1VK1PWd7UrKCiQj497XEj67jtNfewx7fvsM/n7++uBsWP1x3nz5OvrW+a6kn/8Ucuee06ff/GFDh0+rA7t2+ubr7+ucm1bt23TsJEjlfbTTwoMDCxz7kPTp+vD7du1ZNQoNQwJ0Zq1a2s8aFalT9s+/FB/WrpUR5KS5HA41LJFCw0ZPFjzFyxQ4GVnNjdt2qS1a9dq//79ysjIULt27TR16lQ99NBDHhegCZsezubrK9/WreXdqJF8w8J4ELEFnE4n/bcQ/bcW/bcW/bcW/bdWTfTf69ixS/+so5ck1ibDMGTz8pLNx8cVYDIyMnTnb36jdu3aacuWLTp9+rSmT5+u7NxcvfTSS2Wu79sfftC2Dz9U9+7dVWgYKiwsrNZ2OHDokCIjIxXcrFm5c9etW6cff/xRI0aM0L1jx+q/p03TypUrayyYVbVPmf/+t7r37Kmp06YpJCREBw8e1Pz58/Xtd99p+/btrnnLly9XRESEli1bprCwMH388ceKi4vTyZMnNXfu3Br5TFVF2AQAAABQrpdfflkOh0Px8fEKDg6WdOns56RJkzR79my1aNGi1GWHDBmiYcOGSZLGjRunr776qlq1JCYmKjo6ukJz77vvPtlsNo0bN06DBg1SbGxsjZ4BrGqf7r//frfXvXv3VoMGDfToo4/qzJkzruXee+89hYaGuubFxMQoLS1Ny5cv15w5c+TlQVdieE4lAAAAACrFMAytXLlSAwcO1A8//KBbbrlFTZo00axZs0x/rw8++EB33nmnK0BJ0pgxY1RYWOh25q0kZgegxMREderUSQsXLlRERISaNGmiUaNG6cKFC8XmFgXLNWvWuL2uKdXp05WK1pGXl+cauzxoFomOjpbD4Sjx81uJM5sAAACo1/IKCnU6M9vSGloGNpSvT+UD2eTJk/Xaa6/plVde0bRp0xQaGqr+/ftryZIluu222zR8+HC3+YZhyOks/ztmS7p0OSkpSePHj3cbCwwMVHh4uJKSkipde1U5HA6lpKRo9erVGjRokFatWqXk5GT9/ve/18qVKzVz5sxqrb+iPbryftYi1e2T0+lUfn6+Dh8+rIULF2ro0KGKiIgoc5k9e/aoZcuW8vf3L3f9tYmwCQAAgHrtdGa2+i7dbWkNu2b2UZvQxpVaZu/evVqxYoVeeeUV3X333YqLi9Pq1as1atQovfDCC9q9e3exsPnGG2/ooYceKnfdR48eVasrvkgpIyOjxC/jCQoKUnp6eqVqr47ExEQZhqGHH35YTz/9tCRp4MCBWrdunb7//vtqr7+iPUpJSSkxBFa3T61bt9bp06cl/edzlWXPnj3asGGDli1bVu66axthEwAAAKiDXnvtNbVp00ZxcXFKSEhQXl6eoqKiZLfbFRwcrIKCgmLLDBkyRF9++WW56y7r/kurJSYmqlGjRsXOYKanp5d4iWllWd2jbdu26cKFCzp06JDrzObHH39c4tnmU6dO6e6771bfvn01derUGqmnOgibAAAAqNdaBjbUrpl9LK+hsj799FP1799f0qUAZrfb1b59ezmdTqWlpalt27bFlgkODlbTpk3LXbe3t3exsBoUFKSsrKxiczMyMtzuT6xpCQkJ6tmzpxo1auQay87OVnJysjp37lzt9Ve0R6VdRlvdPnXp0kWS1KNHD0VHR6tr166Kj4/X6NGj3eZlZmYqNjZWISEheueddzzqi4GKEDYBAABQr/n6eFX6ElZPcOLECTX7v0d/HDhwQDfddJO8vb21b98+5eTkaNCgQcWWqc5ltB06dCh2z2FWVpZSU1PVoUOHanySyklMTFRMTIzb2KFDh+R0OnXzzTdXe/3VvYzWzD516dJFDRo0UHJystt4dna2Bg8erKysLO3bt69C4dgKhE0AAACgDgoICNDx48clXQpgRWfEFi9erDvuuEPt27cvtkx1LhGNjY3VokWLlJmZ6boncdOmTfLy8tKAAQOq8UkqLj8/X0eOHNH06dPdxhMTE+Xn51fiZ66s6l5Ga2afvvjiC+Xn5ysyMtI1VlBQoDFjxujbb7/Vp59+qpYtW1ZqnbWJsAkAAADUQSNGjNBbb72lXr166ZtvvlHr1q01dOhQ7dmzR19//XWJy4SEhCgkJKTcdRuGUewy2okTJ+rFF1/U8OHDNXv2bJ0+fVqzZs3SxIkT3YLXm2++qfHjx2vHjh3q3bu3JOnixYvatm2bJOn48eNyOBzavHmzpEvPkwwLC5Mk7d69W3379tXq1as1bty4YnUdPnxYeXl5xc5gFj0KpaT7Giuroj0qTUX6VFKPRo4cqV//+tfq0qWLGjZsqMTERC1dulRdunRx+6KnSZMmaevWrVq2bJkcDoc+++wz18+io6Nlt9urXLvZCJsAAABAHbR06VJlZGRoypQpysnJ0ebNmxUTE6N9+/aV+6iMqggKCtKOHTs0ZcoUDR8+XP7+/powYYIWLlzoNq+wsFBOp1OGYbjGzp49q7vuusttXtHrXbt2qU+fPpLkek5k8+bNS6whMTFRvr6+6tixo9v4gQMHFBUVVZ2PZ5qK9KmkHnXr1k0bN27Us88+q8LCQkVERGj8+PF6/PHH5evr65pX9KzOGTNmFHvv0i7ttYrNuPwT1mOnTp3Stddeq5MnTxa7Pt1qTqdT586dU1hYmCl/W4PKof/Wov/Wov/Wov/Wov/Wqon+Hzt2TJI86n/GzRAfH69Ro0YpKyvLtOcsFp3Z9PHxkc1mM2WdFTFnzhzFx8fr4MGDtfq+nsiqbVDe70llcpPnfWURAAAAgApLSEhQu3btTAuaVtq7d69mz55d74Pm1cIjwua2bdtc12rb7XZFRkZq+vTpJX5l8JVee+013XDDDfLz89PNN9+srVu31kLFAAAAgGdISEhQdHS01WWYYufOnbrvvvusLgMm8Yh7NtPT09W9e3dNnTpVISEhOnTokObNm6dDhw65rkkuyYYNGxQXF6c//OEPiomJ0caNGzVixAh9+umn6tGjRy1+AgAAAMAa7733ntUlACXyiLB5//33u73u06eP7Ha7HnnkEZ05c6bUrxWeO3eu7rnnHv3xj3+UJPXt21fffPONFixY4Pq2KwAAAABA7fOIy2hLUvR1w3l5eSX+/OjRo/r+++81ZswYt/F77rlHO3bsUG5ubo3XCAAAAAAomUec2SzidDpdD2pdsGCBhg4dWuq3ICUlJUmSOnTo4DbesWNH5eXlKSUlpdjPLudwOORwOFyvU1NTXTU4nc5qfhJzOZ1O19cjo/bRf2vRf2vRf2vRf2vRf2vVRP8Nw5DNZhMPYyifYRiuP7CGldvAMIxSf/cq8zvpUWGzdevWOn36tCTpN7/5jd5+++1S52ZkZEiSAgMD3caDgoIkXboPtCzLly/X/Pnzi42npaV51INQpUvP4Sn6siQvL489GX3Vov/Wov/Wov/Wov/Wov/Wqon+5+TkyG63q6CgwJT1Xc0uDxt8M6w1rNoGhYWFys3N1blz50r8eVpaWoXX5VFhc9u2bbpw4YIOHz6sZ555RkOGDNHHH39cI8+2mj59uiZMmOB6nZqaqm7duikkJERhYWGmv191FO1koaGhPOfLAvTfWvTfWvTfWvTfWvTfWjXR/+zsbNlsNvn4eNT/AnukorNptf2MR/yHVdvAy8tLfn5+pWaiytyu6FG/aV26dJEk9ezZU127dlVUVJTi4+M1evToYnOLzmBmZWWpefPmrvGiM57BwcFlvldAQIACAgKKjXt7e3vkf1C8vLw8trb6gP5bi/5bi/5bi/5bi/5by+z+F/0PO+GpYmw2m+sPrGHVNrDZbKX+3lXm99Fjrwnp0qWLGjRooOTk5BJ/XnQ/ZtG9m0WSkpLk6+uryMjIGq8RAAAAAFAyjw2bn3/+ufLz80sNjZGRkbrhhhu0adMmt/GNGzeqX79+8vX1rY0yAQAAAAAl8IjLaEeOHKlf//rX6tKlixo2bKgDBw7oT3/6k7p06aLhw4dLkh5++GG98cYbbjd0z5s3T2PHjlXbtm3Vt29fbdy4UZ9//rn++c9/WvRJAAAAAACSh4TNbt26aePGjXr22WdVWFioiIgIxcXFaebMma4zlCU9kuTee+/VxYsX9eyzz+rZZ59V+/btFR8fr549e1rxMQAAAAAA/8cjwuaTTz6pJ598ssw5a9as0Zo1a4qNP/zww3r44YdrqDIAAAAAQFV47D2bAAAAAFBdRY8QGTdunNtr1DyPOLMJAAAAADVh7dq1SklJUXZ2trZt26Z3331Xq1at4pEutYAzmwAAAADKlZycrIkTJyoqKko+Pj7q1KlTpZZPSkpS//791bhxYzVv3lyPP/648vLyqlTL1q1bZbPZlJmZWe7cBx54QN26dVN8fLw2bNhQ40GzOn26vEfh4eF68sknS+yRmb2sSZzZBAAAAFCuw4cP6/3331f37t1VWFiowsLCCi+bkZGhmJgYtWvXTlu2bNHp06c1ffp0Xbx4US+99FKla0lISFBkZKQCAwPLnbtu3Tr9+OOPGjFihO655x49+uijWrlyZY0Fzqr26coenTp1SjNmzFBOTo7+8pe/lDqvur2sSYRNAAAAAOUaMmSIhg0bJunS/Y9fffVVhZd9+eWX5XA4FB8fr+DgYElSQUGBJk2apNmzZ6tFixaVqiUxMVHR0dEVmnvffffJZrNp3LhxGjRokGJjY2v0zGZV+3RljwzDUF5enqZMmaI//OEPrh6Z3cuaxGW0AAAAQB1lGIZWrlypgQMH6ocfftAtt9yiJk2aaNasWaa/l5dX1aPDBx98oDvvvNMVjiRpzJgxKiws1Pbt2yu9vsTERHXq1EkLFy5URESEmjRpolGjRunChQvF5hYFy6InW9T0vZpV7VNJPRo9enSxHpndy5pE2AQAAADqqMmTJ+uxxx7T2LFjNW3aNIWGhmry5MlaunSp3n333WLzDcNQQUFBuX/MlpSUpA4dOriNBQYGKjw8XElJSZVal8PhUEpKilavXq1Tp05p1apVWrJkif7+979r5cqV1a7V03tkZi9rGpfRAgAAoH4ryJOyTlpbQ9NrJR/fSi2yd+9erVixQq+88oruvvtuxcXFafXq1Ro1apReeOEF7d69W8OHD3db5o033tBDDz1U7rqPHj2qVq1aVaqesmRkZJR4f2VQUJDS09Mrta7ExEQZhqGHH35YTz/9tCRp4MCBWrdunb7//vtq11rRHqWkpCgiIqLa71ekoj0ys5c1jbAJAACA+i3rpPTir6ytYcrXUkjbSi3y2muvqU2bNoqLi1NCQoLy8vIUFRUlu92u4ODgEs++DRkyRF9++WW56/ak+/6ulJiYqEaNGmnmzJlu4+np6QoNDa32+q+GHnkKwiYAAABQB3366afq37+/pEsBzG63q3379nI6nUpLS1PbtsXDa3BwsJo2bVruur29vU29VDQoKEhZWVnFxjMyMtzuPayIhIQE9ezZU40aNXKNZWdnKzk5WZ07d652rRXtkY+PuVGqoj0ys5c1jbAJAACA+q3ptZfOLFpdQyWdOHFCzZo1kyQdOHBAN910k7y9vbVv3z7l5ORo0KBBxZax6jLaDh06FLufMCsrS6mpqcXuPyxPYmKiYmJi3MYOHTokp9Opm2++udq1WnUZbUV7ZGYvaxphEwAAAPWbj2+lL2H1BAEBATp+/LikSwGsS5cukqTFixfrjjvuUPv27YstY9UlorGxsVq0aJEyMzNd9xtu2rRJXl5eGjBgQIXXk5+fryNHjmj69Olu44mJifLz8yvxM1eWJ/XonXfeKdYjs3pZGwibAAAAQB00YsQIvfXWW+rVq5e++eYbtW7dWkOHDtWePXv09dcln6kNCQlRSEhIuesu+kbWy128eFHbtm2TJB0/flwOh0ObN2+WJPXu3VthYWGSpDfffFPjx4/Xjh071Lt3b0nSxIkT9eKLL2r48OGaPXu2Tp8+rVmzZmnixIluoW337t3q27evVq9erXHjxhWr6/Dhw8rLyyt2BrPoUSje3t7lfrbyVLRHpalInyrSo1OnTunJJ5/U7373O7ceVbSXnoCwCQAAANRBS5cuVUZGhqZMmaKcnBxt3rxZMTEx2rdvn6mXdxY5e/as7rrrLrexote7du1Snz59JEmFhYVyOp0yDMM1LygoSDt27NCUKVM0fPhw+fv7a8KECVq4cKHb+oqek9m8efMSa0hMTJSvr686duzoNn7gwAFFRUVV5+OZpiJ9qmiPxo8fr0WLFrmtq6K99AQ24/JPWI+dOnVK1157rU6ePGnq9elmcDqdOnfunMLCwkz52xpUDv23Fv23Fv23Fv23Fv23Vk30/9ixY5JUI0HMSvHx8Ro1apSysrLk7+9vyjqLzmz6+PjIZrOZss6KmDNnjuLj43Xw4MFafV9PZNU2KO/3pDK5ycvk2gAAAADUooSEBLVr1860oGmlvXv3avbs2fU+aF4tuIwWAAAAqMMSEhIUHR1tdRmm2Llzp9UlwESETQAAAKAOe++996wuASgRl9ECAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYjrAJAAAAADAdYRMAAADAVcswDEnSuHHj3F6j5vlYXQAAAAAA1JS1a9cqJSVF2dnZ2rZtm959912tWrVKNpvN6tKuepzZBAAAAFApv/zyi1q1aiWbzaavvvqqQsskJSWpf//+aty4sZo3b67HH39ceXl5VXr/rVu3ymazKTMzs9y5DzzwgLp166b4+Hht2LChxoPmpk2bNGzYMLVq1UqNGzdWVFSUXn/99QqdUb28R+Hh4XryySdL7JGZvaxJnNkEAAAAUCl//OMfVVBQUOH5GRkZiomJUbt27bRlyxadPn1a06dP18WLF/XSSy9V+v0TEhIUGRmpwMDAcueuW7dOP/74o0aMGKF77rlHjz76qFauXFljgXP58uWKiIjQsmXLFBYWpo8//lhxcXE6efKk5s6dW+pyV/bo1KlTmjFjhnJycvSXv/yl1HnV7WVNImwCAAAAqLCkpCT95S9/0bJlyzRx4sQKLfPyyy/L4XAoPj5ewcHBkqSCggJNmjRJs2fPVosWLSpVQ2JioqKjoys097777pPNZtO4ceM0aNAgxcbG1uiZzffee0+hoaGu1zExMUpLS9Py5cs1Z84ceXmVfHHplT0yDEN5eXmaMmWK/vCHP7h6ZHYvaxKX0QIAAAB1lGEYWrlypQYOHKgffvhBt9xyi5o0aaJZs2bV2HtOmTJFEydOVPv27Su8zAcffKA777zTFY4kacyYMSosLNT27dsrXUNiYqI6deqkhQsXKiIiQk2aNNGoUaN04cKFYnOLguWaNWvcXteUy4NmkejoaDkcjhLrK1JSj0aPHl2sR2b3siYRNgEAAIA6avLkyXrsscc0duxYTZs2TaGhoZo8ebKWLl2qd999t9h8wzBUUFBQ7p/SbN68WQcPHtTTTz9dqTqTkpLUoUMHt7HAwECFh4crKSmpUutyOBxKSUnR6tWrderUKa1atUpLlizR3//+d61cubJS6ypJdXtUkj179qhly5by9/cvdU5Fe2RmL2sal9ECAACgXst35uvMhTOW1tCicQs18G5QqWX27t2rFStW6JVXXtHdd9+tuLg4rV69WqNGjdILL7yg3bt3a/jw4W7LvPHGG3rooYfKXffRo0fVqlUrt7GLFy9q+vTpWrRokQICAipVa0ZGRon3VwYFBSk9Pb1S60pMTJRhGHr44YddoXfgwIFat26dvv/++0qtqyQV7VFKSooiIiLKnbdnzx5t2LBBy5YtK3NeRXtkZi9rGmETAAAA9dqZC2c0OH6wpTVsHbFVrQNaV2qZ1157TW3atFFcXJwSEhKUl5enqKgo2e12BQcHl3j2bciQIfryyy/LXXdJ9/0988wzatasWYWCWE1KTExUo0aNNHPmTLfx9PT0Ei9hrazq9OhKp06d0t13362+fftq6tSp1a6triFsAgAAAHXQp59+qv79+0u6FMDsdrvat28vp9OptLQ0tW3bttgywcHBatq0abnr9vb2dgurx48f17JlyxQfH6+srCxJlx5/UvTPX375RU2aNCl1fUFBQa7lLpeRkeF272FFJCQkqGfPnmrUqJFrLDs7W8nJyercuXOl1lWSivbIx6fsKJWZmanY2FiFhITonXfeKfWLgYpUtEdm9rKmETYBAABQr7Vo3EJbR2y1vIbKOnHihJo1ayZJOnDggG666SZ5e3tr3759ysnJ0aBBg4otU9XLaFNSUpSXl6f/+q//Kja3b9++6t69uz777LNS19ehQ4di9xNmZWUpNTW12P2H5UlMTFRMTIzb2KFDh+R0OnXzzTdXal0lMeMy2uzsbA0ePFhZWVnat29fhcJrRXtkZi9rGmETAAAA9VoD7waVvoTVEwQEBOj48eOSLgWwLl26SJIWL16sO+64o8Rvi63qJaJRUVHatWuX21hiYqIee+wxvfzyy+ratWuZ64uNjdWiRYuUmZnput9w06ZN8vLy0oABA8qtp0h+fr6OHDmi6dOnF6vFz8+vUt+QW5rqXkZbUFCgMWPG6Ntvv9Wnn36qli1bVuh9S+pR0RnRy3tkVi9rA2ETAAAAqINGjBiht956S7169dI333yj1q1ba+jQodqzZ4++/vrrEpcJCQlRSEhIuesu+kbWIoGBgerTp0+Jc2+55Rb96le/cr1+8803NX78eO3YsUO9e/eWJE2cOFEvvviihg8frtmzZ+v06dOaNWuWJk6c6Bbadu/erb59+2r16tUaN25csfc6fPiw8vLyip3BLHoUire3d7mfrTwV7VFpJk2apK1bt2rZsmVyOBxuZ3yjo6Nlt9sr1KNTp07pySef1O9+9zu3HlW0l56AsAkAAADUQUuXLlVGRoamTJminJwcbd68WTExMdq3b1+FviW1phQWFsrpdMowDNdYUFCQduzYoSlTpmj48OHy9/fXhAkTtHDhQrdli55D2bx58xLXnZiYKF9fX3Xs2NFt/MCBA4qKijL3g1RR0bMuZ8yYUexnRZfeVrRH48eP16JFi9zWUdFeegKbcfknrMdOnTqla6+9VidPniz2Nc9WczqdOnfunMLCwkz52xpUDv23Fv23Fv23Fv23Fv23Vk30/9ixY5JkaRCrCfHx8Ro1apSysrLKfI5jZRSd2fTx8ZHNZjNlnRUxZ84cxcfH6+DBg7X6vp7Iqm1Q3u9JZXJT2V+JBAAAAMCjJSQkqF27dqYFTSvt3btXs2fPrvdB82rBZbQAAABAHZaQkKDo6GiryzDFzp07rS4BJiJsAgAAAHXYe++9Z3UJQIm4jBYAAAAAYDrCJgAAAADAdB4RNjdt2qRhw4apVatWaty4saKiovT666+rvC/KjYiIkM1mK/YnJyenlioHAAAAAJTEI+7ZXL58uSIiIrRs2TKFhYXp448/VlxcnE6ePKm5c+eWuezo0aOLPcPGbrfXZLkAAAAAgHJ4RNh87733FBoa6nodExOjtLQ0LV++XHPmzJGXV+knYJs1a6YePXrURpkAAAAAgAryiMtoLw+aRaKjo+VwOHThwgULKgIAAAAAVIdHnNksyZ49e9SyZctyH067bt06vfrqq2rQoIHuuOMOLVmyRJ07dy53/Q6HQw6Hw/U6NTVVkuR0OuV0OqtXvMmcTqcKCws9rq76gv5bi/5bi/5bi/5bi/5bqyb6bxiGbDZbud8Lgku9KvoDa1i5DQzDKPV3rzK/kx4ZNvfs2aMNGzZo2bJlZc4bOnSounfvruuuu05Hjx7VwoULdfvttyshIUGRkZFlLrt8+XLNnz+/2HhaWprH3fNZWFiorKwsSSrzkmLUDPpvLfpvLfpvLfpvLfpvrZrof05Ojux2uwoKCkxZ39Xs8rBhs9ksrqZ+smobFBYWKjc3V+fOnSvx52lpaRVel83wsL+uOHXqlLp3766OHTtq+/btlTq4pKamqkOHDho7dqxWrFhR5tySzmx269ZNx44dU6tWrapcf01wOp06f/68QkND5e3tbXU59Q79txb9txb9txb9txb9t1ZN9P/EiROy2Wxq3bq1Keu7mhmGoYKCAvn4+BA2LWLVNjh+/LgMw9B1111X4s9PnTqliIgInTx5stzc5FFnNjMzMxUbG6uQkBC98847lf5brPDwcN1+++3av39/uXMDAgIUEBBQbNzb29sj/4Pi5eXlsbXVB/TfWvTfWvTfWvTfWvTfWmb3v+h/2AlPFXP5owVhDau2gc1mK/X3rjK/jx4TNrOzszV48GBlZWVp3759atq0qdUlAQAAAACqyCNuQCgoKNCYMWP07bff6sMPP1TLli2rtJ4zZ85oz5496tq1q8kVAgAAAAAqwyPObE6aNElbt27VsmXL5HA49Nlnn7l+Fh0dLbvdrn79+un48eNKTk6WJK1fv15bt27VoEGD1KJFCx09elSLFy+Wt7e3ZsyYYdVHAQAAAFAHFX1b8bhx47RmzRrXa1SdR4TN7du3S1KJITElJUURERFyOp1u3xzWpk0bnTlzRtOmTVNmZqYCAwMVExOjBQsWqE2bNrVWOwAAAIC6b+3atUpJSVF2dra2bdumd999V6tWrSJwVoNHXEZ77Ngxt+fIXP4nIiJCkrR7924dO3bMtUyPHj20a9cunTt3Tvn5+Tp37pw2btyo9u3bW/MhAAAAgKtYcnKyJk6cqKioKPn4+KhTp06lzk1KSlL//v3VuHFjNW/eXI8//rjy8vIq9D7VWfZKW7dulc1mU2ZmZrlzH3jgAXXr1k3x8fHasGFDjQbNbdu2qXfv3goLC5PdbldkZKSmT5/uetxPWSqzHSTpjTfeUHR0tPz8/BQaGqrY2FhlZ2eb9VHK5BFnNgEAAAB4tsOHD+v9999X9+7dVVhYqMLCwhLnZWRkKCYmRu3atdOWLVt0+vRpTZ8+XRcvXtRLL71U5ntUZ9mSJCQkKDIyUoGBgeXOXbdunX788UeNGDFC99xzjx599FGtXLmyRgJnenq6unfvrqlTpyokJESHDh3SvHnzdOjQIddVn6Wp6HaQpIULF2rJkiWaPXu2evbsqfPnz2vHjh2u53fWNMImAAAAgHINGTJEw4YNkySNGzdOX331VYnzXn75ZTkcDsXHxys4OFjSpS8EnTRpkmbPnq0WLVqU+h7VWbYkiYmJio6OrtDc++67z3XP5qBBgxQbG1tjZzbvv/9+t9d9+vSR3W7XI488ojNnzpT5OSu6Hb777jvNmzdP//u//6vY2FjX+KhRo0z4BBXjEZfRAgAAAKg8wzC0cuVKDRw4UD/88INuueUWNWnSRLNmzTL9vby8KhYdPvjgA915552usChJY8aMUWFhYbln7aqzbEkSExPVqVMnLVy4UBEREWrSpIlGjRqlCxcuFJtbFCzXrFnj9rq2hISESFK5lwxXdDusXr1abdq0cQuatY0zmwAAAKjXjLw85Z85Y2kNDVq0kM3Xt9LLTZ48Wa+99ppeeeUVTZs2TaGhoerfv7+WLFmi2267TcOHD3ebbxhGhS6h9Pb2rnQtRZKSkjR+/Hi3scDAQIWHhyspKanGlr2Sw+FQSkqKVq9erUGDBmnVqlVKTk7W73//e61cuVIzZ86s1PquVNFe+viUHrmcTqfy8/N15MgRLViwQEOHDnV9Z011ffbZZ+rcubOeeeYZvfDCC8rMzFTXrl21fPlyde/e3ZT3KA9hEwAAAPVa/pkz+vE31p39kaS2H34g30qGjL1792rFihV65ZVXdPfddysuLk6rV6/WqFGj9MILL2j37t3FwuYbb7yhhx56qNx1Hz16VK1atapUPUUyMjJKvEcyKChI6enpNbbslRITE2UYhh5++GE9/fTTkqSBAwdq3bp1+v777yu1rpJUtJdFT9coSevWrXX69GlJ0m9+8xu9/fbb1a6ryE8//aT9+/fr4MGDWrFihRo1aqRFixZpwIAB+uGHH3TNNdeY9l6lIWwCAAAAddBrr72mNm3aKC4uTgkJCcrLy1NUVJTsdruCg4PdHhtYZMiQIfryyy/LXXdl7430RImJiWrUqFGxM5jp6ekKDQ2t9vrN6OW2bdt04cIFHT58WM8884yGDBmijz/+uFpnlosUFhbql19+0ebNm9WlSxdJl57oERERoZdeekkLFiyo9nuUh7AJAACAeq1BixZq++EHltdQWZ9++qn69+8v6VKwstvtat++vZxOp9LS0tS2bdtiywQHB6tp06blrtvb27vEsFoRQUFBJT7CIyMjw+1eTLOXvVJCQoJ69uypRo0aucays7OVnJyszp07V2pdJaloL8u6jLYoBPbs2VNdu3ZVVFSU4uPjNXr06GrXFxQUpJCQENd7FNUcHR2tw4cPV3v9FUHYBAAAQL1m8/Wt9CWsnuDEiRNq1qyZJOnAgQO66aab5O3trX379iknJ0eDBg0qtkxtXEbboUOHYvdXZmVlKTU1VR06dKixZa+UmJiomJgYt7FDhw7J6XTq5ptvrtS6SmLGZbSX69Klixo0aKDk5ORq1yZJN910k3788ccSf5aTk2PKe5SHsAkAAADUQQEBATp+/LikS8Gq6AzW4sWLdccdd6h9+/bFlqmNy2hjY2O1aNEiZWZmuu6/3LRpk7y8vDRgwIAaW/ZyRV+6M336dLfxxMRE+fn5ldibyjK7l59//rny8/MVGRlZ3dIkSYMHD9bq1auVmJioqKgoSVJaWpq+/vprPfbYY6a8R3kImwAAAEAdNGLECL311lvq1auXvvnmG7Vu3VpDhw7Vnj179PXXX5e4TEhIiOsRG2UxDKPYZbQXL17Utm3bJEnHjx+Xw+HQ5s2bJUm9e/dWWFiYJGnixIl68cUXNXz4cM2ePVunT5/WrFmzNHHiRLfg9eabb2r8+PHasWOHevfuXeFld+/erb59+2r16tUaN25cifUfPnxYeXl5xc5gFj0KxYx7Iivay5KMHDlSv/71r9WlSxc1bNhQBw4c0J/+9Cd16dLF7Uud3nrrLT3yyCNuParodhg+fLi6du2q0aNHa+HChWrYsKEWL14su92uSZMmVeOTVxxhEwAAAKiDli5dqoyMDE2ZMkU5OTnavHmzYmJitG/fPtMen3G5s2fP6q677nIbK3q9a9cu9enTR9KlewV37NihKVOmaPjw4fL399eECRO0cOFCt2ULCwvldDplGIZrrCLLFj0js3nz5qXWmpiYKF9fX3Xs2NFt/MCBA66zfFbq1q2bNm7cqGeffVaFhYWKiIhQXFycZs6cKd/LHoFT9HiVy3tU0e3g5eWlbdu26bHHHtPvfvc75eXlqVevXvrnP/9ZZu/MZDMur7weO3XqlK699lqdPHmyyten1xSn06lz584pLCzMlL+FQeXQf2vRf2vRf2vRf2vRf2vVRP+PHTsmSTUSxKwUHx+vUaNGKSsrS/7+/qass+jMpo+Pj2w2mynrNMucOXMUHx+vgwcPelxtZrJqG5T3e1KZ3ORlcm0AAAAAalFCQoLatWtnWtD0dHv37tXs2bOv6qB5teAyWgAAAKAOS0hIUHR0tNVl1JqdO3daXQIqiLAJAAAA1GHvvfee1SUAJeIyWgAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAQL3g7e0tp9NpdRmAR3M6naY925awCQAAgHrBz89PeXl5SktLs7oUwCOlpaUpLy9Pfn5+pqyPR58AAACgXggNDVVubq7Onj2rzMxM087eXK0KCwvl5cW5KSvV5jZwOp3Ky8uTv7+/QkNDTVknew8AAADqBZvNppYtWyo0NFS+vr5Wl+PRDMNQbm6uDMOwupR6q7a3ga+vr0JDQ9WyZUvZbDZT1smZTQAAANQbNptNYWFhVpfh8ZxOp86dO6ewsDDOAFvkatgGnNkEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJjOI8Lmpk2bNGzYMLVq1UqNGzdWVFSUXn/9dRmGUeZyhmHo2Wef1XXXXaeGDRuqZ8+e+uyzz2qpagAAAABAaTwibC5fvlyNGjXSsmXL9N577yk2NlZxcXFasGBBmcstWbJEc+fO1WOPPaatW7cqPDxcAwYM0NGjR2upcgAAAABASXysLkCS3nvvPYWGhrpex8TEKC0tTcuXL9ecOXPk5VU8E+fk5Gjx4sWaMWOGHnvsMUlSr169dMMNN2jp0qVasWJFrdUPAAAAAHDnEWHz8qBZJDo6Wq+++qouXLggf3//Yj//17/+JYfDoTFjxrjGfH19NXLkSG3ZsqVG661N+c58nXScVPqFdF20X5S3t7fVJdU7TqeT/luI/luL/luL/luL/luL/luL/luvaBsEBgfW2W3gEWGzJHv27FHLli1LDJqSlJSUJEnq0KGD23jHjh114sQJZWdnq2HDhqWu3+FwyOFwuF6npqZKurRRnU5ndcs3zUnHSQ3732FWlwEAAADAAvGD49UmsI3VZbhUJit5ZNjcs2ePNmzYoGXLlpU6JyMjQ3a7XX5+fm7jQUFBMgxDGRkZZYbN5cuXa/78+cXG09LSZLfbq168ydIvpFtdAgAAAACLZKRnqEl+E6vLcElLS6vwXI8Lm6dOndLdd9+tvn37aurUqTX2PtOnT9eECRNcr1NTU9WtWzeFhIQoLCysxt63sgKDAxU/OF4Z6RkKCg4q8f5V1KzCwkL6byH6by36by36by36by36by36b72ibXBjqxvl5+tX/gK1JDc3t8JzPSpsZmZmKjY2ViEhIXrnnXfK3LGDgoKUm5urnJwct7ObGRkZstlsCgoKKvO9AgICFBAQUGzc29vbo66J9vb2VpvANmqS30RhgWEeVVt94XQ66b+F6L+16L+16L+16L+16L+16L/1iraBn6+fR22DytTiMX9NkZ2drcGDBysrK0sffPCBmjZtWub8ons1v/vuO7fxpKQk13M3AQAAAADW8IiwWVBQoDFjxujbb7/Vhx9+qJYtW5a7zK233qqAgABt2rTJNZafn68tW7Zo0KBBNVkuAAAAAKAcHnEZ7aRJk7R161YtW7ZMDodDn332metn0dHRstvt6tevn44fP67k5GRJkp+fn5566inNmzdPYWFh6ty5s1asWKG0tDTNnDnTqo8CAAAAAJCHhM3t27dLkmbMmFHsZykpKYqIiJDT6VRBQYHbz5544gkZhqGlS5fq3LlzioqK0kcffaTIyMhaqRsAAAAAUDKPCJvHjh0rd87u3buLjdlsNj311FN66qmnzC8KAAAAAFBlHnHPJgAAAADg6kLYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA05kWNp1Opy5cuGDW6gAAAAAAdViVw2ZaWppefPFFDR06VM2aNZOvr68CAgLUsGFD3XzzzZo8ebL+8Y9/mFkrAAAAAKCO8KnsAidOnNDTTz+tDRs2KDg4WD169NCkSZMUGhoqu92uzMxMHTt2TF999ZVWrVqlNm3aaO7cuRo7dmxN1A8AAAAA8ECVDps33nij7rrrLn388ce6/fbbZbPZSp177tw5/e1vf9OCBQt08uRJPfnkk9UqFgAAAABQN1Q6bB4+fFitW7eu0NywsDD993//tyZNmqQzZ85UujgAAAAAQN1U6Xs2Lw+aJ06cUH5+fonz8vPzdeLECUmSzWZTy5Ytq1giAAAAAKCuqda30bZp00YJCQkl/uybb75RmzZtqrN6AAAAAEAdVa2waRhGqT/Lzc2V3W6vzuoBAAAAAHVUpe/ZTEpK0pEjR1yvd+/erVOnTrnNycnJ0fr16xUZGVn9CgEAAAAAdU6lw+bGjRs1f/58SZfuxSztG2YDAwO1Zs2aahUHAAAAAKibKh02p02bpnHjxskwDEVGRmrLli2Kjo52m+Pr66vmzZuX+VgUAAAAAMDVq9Jhs2nTpmratKkkKSUlRS1atFCDBg1MLwwAAAAAUHdV+guC0tLSXP/eunXrCgfN9PT0yr4VAAAAAKCOqnTYbNOmjaZNm6Zvvvmm3LkXLlzQ2rVr1bVrV61cubJKBQIAAAAA6p5KX0a7d+9ezZkzR9HR0Wrbtq1uvfVWdenSRWFhYbLb7crMzFRKSor279+vvXv3KjAwUE888YQmTpxYE/UDAAAAADxQpcNm586d9e677+ro0aN68803tWPHDm3cuFG5ubmuOdddd51uu+02rV27VkOGDJGPT6XfBgAAAABQh1U5BUZGRmrevHmaN2+eJCkjI0M5OTkKDg6W3W43qz4AAAAAQB1U7VOOTqdTn3/+uU6dOqWcnBy3n9lsNj3wwAPVfQsAAAAAQB1TrbD59ddfa+TIkTp58qQMwyj2c8ImAAAAANRP1Qqbjz76qJo2bao33nhDN954o3x9fc2qCwAAAABQh1UrbB4+fFibNm1S7969zaoHAAAAAHAVqPRzNi93ww03yOFwmFULAAAAAOAqUa2w+dxzz2nx4sVKSkoyqx4AAAAAwFWgSs/ZtNlsrtepqanq1KmTWrRoocDAQLe5NptNBw4cqHaRAAAAAIC6pdJh85ZbbnELmwAAAAAAXKnSYXPNmjU1UAYAAAAA4GpSrXs2AQAAAAAoCWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYzmPCZnJysiZOnKioqCj5+PioU6dOFVouIiJCNput2J+cnJwarhgAAAAAUBofqwsocvjwYb3//vvq3r27CgsLVVhYWOFlR48erRkzZriN2e12s0sEAAAAAFSQx4TNIUOGaNiwYZKkcePG6auvvqrwss2aNVOPHj1qqjQAAAAAQCV5zGW0Xl4eUwoAAAAAoJo85sxmdaxbt06vvvqqGjRooDvuuENLlixR586dy1zG4XDI4XC4XqempkqSnE6nnE5njdZbWU6nU4WFhR5XV31B/61F/61F/61F/61F/61F/61F/63nqdugMvXU+bA5dOhQde/eXdddd52OHj2qhQsX6vbbb1dCQoIiIyNLXW758uWaP39+sfG0tDSPu9+zsLBQWVlZkjgDbAX6by36by36by36by36by36by36bz1P3QZpaWkVnlvnw+YLL7zg+vdevXppwIAB6tChg5YuXaoVK1aUutz06dM1YcIE1+vU1FR169ZNISEhCgsLq9GaK6vobw9CQ0Pl7e1tcTX1D/23Fv23Fv23Fv23Fv23Fv23Fv23nqdug9zc3ArPrfNh80rh4eG6/fbbtX///jLnBQQEKCAgoNi4t7e3R23MIl5eXh5bW31A/61F/61F/61F/61F/61F/61F/63nidugMrV4zvlYAAAAAMBV46oLm2fOnNGePXvUtWtXq0sBAAAAgHrLYy6jvXjxorZt2yZJOn78uBwOhzZv3ixJ6t27t8LCwtSvXz8dP35cycnJkqT169dr69atGjRokFq0aKGjR49q8eLF8vb21owZMyz7LAAAAABQ33lM2Dx79qzuuusut7Gi17t27VKfPn3kdDpVUFDg+nmbNm105swZTZs2TZmZmQoMDFRMTIwWLFigNm3a1Gr9AAAAAID/8JiwGRERIcMwypyze/dut9c9evTQrl27arAqAAAAAEBVXHX3bAIAAAAArEfYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYzmPCZnJysiZOnKioqCj5+PioU6dOFVrOMAw9++yzuu6669SwYUP17NlTn332WQ1XCwAAAAAoi8eEzcOHD+v999/X9ddfrxtvvLHCyy1ZskRz587VY489pq1btyo8PFwDBgzQ0aNHa7BaAAAAAEBZPCZsDhkyRCdPntTmzZv1q1/9qkLL5OTkaPHixZoxY4Yee+wx9evXTxs2bFBwcLCWLl1awxUDAAAAAErjY3UBRby8Kp97//Wvf8nhcGjMmDGuMV9fX40cOVJbtmwxszzrFORJ6cfknZkueTkkb2+rK6p/nE76byX6by36by36by36by36by36b72ibRDcVPJuaHU1VeIxYbMqkpKSJEkdOnRwG+/YsaNOnDih7OxsNWxY8oZxOBxyOByu16mpqZIkp9Mpp9NZQxVXQfoxea/oqjCr66jHvCX6byH6by36by36by36by36by36b72ibZA38TMp7Aary3GpTFaq02EzIyNDdrtdfn5+buNBQUEyDEMZGRmlhs3ly5dr/vz5xcbT0tJkt9trpN6q8M5M5xcdAAAAqKcyMjJk6JzVZbikpaVVeG6dDpvVMX36dE2YMMH1OjU1Vd26dVNISIjCwjwo3gU3Vd7Ez5SRkaGgoCB5e3EZQ21zFjrpv4Xov7Xov7Xov7Xov7Xov7Xov/Vc2yCii7x9Pecy2tzc3ArPrdNhMygoSLm5ucrJyXE7u5mRkSGbzaagoKBSlw0ICFBAQECxcW9vb3l70nXp3g2lsBtk6Jy8w8I8q7b6wumk/1ai/9ai/9ai/9ai/9ai/9ai/9Yr2ga+DT1qG1SmFo/5NtqqKLpX87vvvnMbT0pKcj13EwAAAABQ++p02Lz11lsVEBCgTZs2ucby8/O1ZcsWDRo0yMLKAAAAAKB+85jLaC9evKht27ZJko4fPy6Hw6HNmzdLknr37q2wsDD169dPx48fV3JysiTJz89PTz31lObNm6ewsDB17txZK1asUFpammbOnGnZZwEAAACA+s5jwubZs2d11113uY0Vvd61a5f69Okjp9OpgoICtzlPPPGEDMPQ0qVLde7cOUVFRemjjz5SZGRkrdUOAAAAAHDnMWEzIiJChmGUOWf37t3Fxmw2m5566ik99dRTNVQZAAAAAKCy6vQ9mwAAAAAAz0TYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYjrAJAAAAADAdYRMAAAAAYDrCJgAAAADAdIRNAAAAAIDpCJsAAAAAANMRNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADTETYBAAAAAKYjbAIAAAAATOcxYTMpKUn9+/dX48aN1bx5cz3++OPKy8srd7mIiAjZbLZif3JycmqhagAAAABASXysLkCSMjIyFBMTo3bt2mnLli06ffq0pk+frosXL+qll14qd/nRo0drxowZbmN2u72mygUAAAAAlMMjwubLL78sh8Oh+Ph4BQcHS5IKCgo0adIkzZ49Wy1atChz+WbNmqlHjx61USoAAAAAoAI84jLaDz74QHfeeacraErSmDFjVFhYqO3bt1tYGQAAAACgKjzizGZSUpLGjx/vNhYYGKjw8HAlJSWVu/y6dev06quvqkGDBrrjjju0ZMkSde7cucxlHA6HHA6H63Vqaqokyel0yul0VuFT1Byn06nCwkKPq6u+oP/Wov/Wov/Wov/Wov/Wov/Wov/W89RtUJl6PCJsZmRkKDAwsNh4UFCQ0tPTy1x26NCh6t69u6677jodPXpUCxcu1O23366EhARFRkaWutzy5cs1f/78YuNpaWked79nYWGhsrKyJEleXh5xMrpeof/Wov/Wov/Wov/Wov/Wov/Wov/W89RtkJaWVuG5HhE2q+OFF15w/XuvXr00YMAAdejQQUuXLtWKFStKXW769OmaMGGC63Vqaqq6deumkJAQhYWF1WjNlVX0twehoaHy9va2uJr6h/5bi/5bi/5bi/5bi/5bi/5bi/5bz1O3QW5uboXnekTYDAoKcqX2y2VkZLjdx1kR4eHhuv3227V///4y5wUEBCggIKDYuLe3t0dtzCJeXl4eW1t9QP+tRf+tRf+tRf+tRf+tRf+tRf+t54nboDK1eMT52A4dOhS7NzMrK0upqanq0KGDRVUBAAAAAKrKI8JmbGysPvnkE2VmZrrGNm3aJC8vLw0YMKBS6zpz5oz27Nmjrl27mlwlAAAAAKCiPCJsTpw4Uf7+/ho+fLi2b9+u1atXa9asWZo4caLbMzb79eun66+/3vV6/fr1Gjt2rNatW6ddu3bptdde0x133CFvb2/NmDHDio8CAAAAAJAH3bO5Y8cOTZkyRcOHD5e/v78mTJighQsXus1zOp0qKChwvW7Tpo3OnDmjadOmKTMzU4GBgYqJidGCBQvUpk2b2v4YAAAAAID/4xFhU5I6duyoTz75pMw5u3fvdnvdo0cP7dq1qwarAgAAAABUhUdcRgsAAAAAuLoQNgEAAAAApiNsAgAAAABMR9gEAAAAAJiOsAkAAAAAMB1hEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwnY/VBaBseQWFOpF2QekZOfrFdkHe3t5Wl1TvOJ1O+m8h+m8t+m8t+m8t+m8t+m8t+m+9om3QNKhQDevoNiBserjTmdm687lPrS4DAAAAgAU+eSxY1zdrYHUZVcJltAAAAAAA03Fm08O1DGyoTx7rpfT0dAUHB3MZgwWcTif9txD9txb9txb9txb9txb9txb9t17RNmgZ2NDqUqqMsOnhfH281Ca0sZoYFxUW2phfdgs4nU76byH6by36by36by36by36by36b72ibeDrU3cvRq27lQMAAAAAPBZhEwAAAABgOsImAAAAAMB0hE0AAAAAgOkImwAAAAAA0xE2AQAAAACmI2wCAAAAAExH2AQAAAAAmI6wCQAAAAAwHWETAAAAAGA6wiYAAAAAwHSETQAAAACA6QibAAAAAADT+VhdgKcoKCiQJKWmplpcSXFOp1NpaWnKzc2Vt7e31eXUO/TfWvTfWvTfWvTfWvTfWvTfWvTfep66DYryUlF+Kgth8/+cO3dOktStWzeLKwEAAAAAz3bu3DlFRESUOcdmGIZRO+V4tpycHB08eFBhYWHy8fGsDJ6amqpu3brpiy++UHh4uNXl1Dv031r031r031r031r031r031r033qeug0KCgp07tw5de7cWX5+fmXO9axUZSE/Pz917drV6jLKFB4erlatWlldRr1F/61F/61F/61F/61F/61F/61F/63nidugvDOaRfiCIAAAAACA6QibAAAAAADTETbrgICAAM2dO1cBAQFWl1Iv0X9r0X9r0X9r0X9r0X9r0X9r0X/rXQ3bgC8IAgAAAACYjjObAAAAAADTETYBAAAAAKYjbAIAAAAATEfYBAAAAACYjrAJAAAAADAdYbMWJSUlqX///mrcuLGaN2+uxx9/XHl5eeUuZxiGnn32WV133XVq2LChevbsqc8++6zYvDNnzmjUqFHy9/dXcHCwJkyYIIfDURMfpU6qSv9TU1P1+OOPKyoqSv7+/mrVqpXuu+8+HT9+3G3e7t27ZbPZiv255557avIj1SlV3f8jIiJK7G1OTo7bPPb/slWl/6Xt1zabTR06dCh3Hvv/fyQnJ2vixImKioqSj4+POnXqVKHlOP6boyr95/hvnqru/xz/zVGV/nP8N8+mTZs0bNgwtWrVSo0bN1ZUVJRef/11lfdAkKvl+O9jdQH1RUZGhmJiYtSuXTtt2bJFp0+f1vTp03Xx4kW99NJLZS67ZMkSzZ07V88++6y6dOmiv/zlLxowYIASExMVGRkpScrPz9fAgQMlSW+//bYuXryomTNn6r777tPWrVtr/PN5uqr2f//+/dqyZYvGjx+vHj166Pz58/rjH/+obt266dChQwoLC3Obv3r1areDcGhoaI19prqkOvu/JI0ePVozZsxwG7Pb7a5/Z/8vW1X7/6tf/Ur79u1zG3M4HIqNjVVsbGyx+ez/pTt8+LDef/99de/eXYWFhSosLKzQchz/zVGV/nP8N09V93+J478ZqtJ/jv/mWb58uSIiIrRs2TKFhYXp448/VlxcnE6ePKm5c+eWutxVc/w3UCsWLVpkNG7c2EhLS3ONrVq1yvD29jZOnz5d6nLZ2dlGQECA8dRTT7nGcnNzjdatWxuPPvqoa+ztt982bDabkZSU5Br76KOPDEnG559/bvKnqXuq2v+MjAwjPz/fbezkyZOGzWYzli5d6hrbtWuXIcn48ssvzS/+KlDV/huGYbRu3dr47//+7zLnsP+XrTr9v9Lq1asNScYXX3zhGmP/L5/T6XT9+4MPPmjcdNNN5S7D8d88Vek/x3/zVKX/hsHx3yxV7f+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"text/plain": [ - "
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" ] }, "metadata": {}, @@ -95,43 +173,83 @@ } ], "source": [ + "phis = [0.1, 1.0, 4.0, 10.0]\n", "fig, ax = plt.subplots()\n", - "ax.plot(tg, h, label='h(t)')\n", - "ax.plot(tg, k, '--', label='k(t) = h(t)/γ')\n", - "ax.axhline(1.0, color='k', alpha=0.3, ls=':', label='fixed point')\n", - "ax.set_xlabel('t'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Riccati fixed point γ=φ=A=1')\n", + "for phi in phis:\n", + " r = opt.quadratic_impact_control_py(1.0, phi, np.sqrt(phi),\n", + " t_horizon=2.0, n_steps=500)\n", + " h_arr = np.array(r['h'])\n", + " h_star = np.sqrt(phi)\n", + " ax.plot(r['time_grid'], h_arr,\n", + " label=fr'$\\varphi = {phi}$, $h^*={h_star:.2f}$')\n", + " print(f\"phi={phi:5.2f} : h(0) = {h_arr[0]:.4f}, h* = {h_star:.4f}\")\n", + "ax.set_xlabel('t'); ax.set_ylabel('h(t)')\n", + "ax.set_title(r'Sensibilité de $h$ au coefficient $\\varphi$')\n", + "ax.legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "4f8b738d", + "id": "bc4e642c", "metadata": {}, "source": [ - "## Sensitivity to the terminal weight\n", + "**Résultat attendu.** Plus $\\varphi$ est grand, plus le gain de\n", + "feedback est élevé.\n", "\n", - "Vary $A$, fix $γ = 1$, $φ = 0.25$, $T = 1$." + "**Lecture du graphique.** Quatre lignes plates à des hauteurs\n", + "$\\sqrt{\\varphi}$.\n", + "\n", + "**Conclusion.** Le compromis état/contrôle est gouverné par le\n", + "ratio $\\varphi/\\gamma$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "e89f285e", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : régulation autour d'un set-point\n", + "\n", + "**Modèle.** En boucle fermée $\\dot q = -k q$ avec $k = h/\\gamma$,\n", + "la dynamique est $q(t) = q_0 e^{-kt}$. Cas pratique : régulateur\n", + "thermique scalaire qui ramène la température vers $0$ (écart à la\n", + "consigne).\n", + "\n", + "**Équation pivot.**\n", + "$$q(t) = q_0\\,e^{-(h^*/\\gamma)\\,t}.$$\n", + "\n", + "**Ce que la cellule vérifie.** Pour différents $\\varphi$, on intègre\n", + "$\\dot q = -k(t) q$ et on observe la vitesse de retour vers $0$.\n" ] }, { "cell_type": "code", "execution_count": 4, - "id": "11740dc8", + "id": "913f4685", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:11.162956Z", - "iopub.status.busy": "2026-05-12T10:16:11.162649Z", - "iopub.status.idle": "2026-05-12T10:16:11.541340Z", - "shell.execute_reply": "2026-05-12T10:16:11.539197Z" + "iopub.execute_input": "2026-05-12T14:05:40.637900Z", + "iopub.status.busy": "2026-05-12T14:05:40.637528Z", + "iopub.status.idle": "2026-05-12T14:05:41.242971Z", + "shell.execute_reply": "2026-05-12T14:05:41.241582Z" } }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phi=0.25 : q(T) = 0.2227\n", + "phi=1.00 : q(T) = 0.0494\n", + "phi=4.00 : q(T) = 0.0024\n" + ] + }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -139,29 +257,51 @@ } ], "source": [ - "fig, ax = plt.subplots()\n", - "for A in [0.0, 0.25, 0.5, 1.0, 2.0, 5.0]:\n", - " r = opt.quadratic_impact_control_py(1.0, 0.25, A, 1.0, 1000)\n", - " ax.plot(r['time_grid'], r['h'], label=f'A = {A:g}')\n", - "ax.set_xlabel('t'); ax.set_ylabel('h(t)'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Riccati sensitivity to terminal weight')\n", + "T, n_steps = 3.0, 600\n", + "dt = T / n_steps\n", + "q0 = 1.0\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "for phi in [0.25, 1.0, 4.0]:\n", + " r = opt.quadratic_impact_control_py(1.0, phi, np.sqrt(phi),\n", + " t_horizon=T, n_steps=n_steps)\n", + " k = np.array(r['feedback_gain'])\n", + " q = np.zeros(n_steps + 1); q[0] = q0\n", + " for i in range(n_steps):\n", + " q[i + 1] = q[i] - dt * k[i] * q[i]\n", + " ts = np.array(r['time_grid'])\n", + " axes[0].plot(ts, q, lw=2, label=fr'$\\varphi = {phi}$')\n", + " axes[1].plot(ts, k, lw=2, label=fr'$\\varphi = {phi}$')\n", + " print(f\"phi={phi:.2f} : q(T) = {q[-1]:.4f}\")\n", + "axes[0].set_xlabel('t'); axes[0].set_ylabel('q(t)')\n", + "axes[0].set_title(\"Écart à la consigne\")\n", + "axes[0].legend()\n", + "axes[1].set_xlabel('t'); axes[1].set_ylabel('k(t) (gain)')\n", + "axes[1].set_title(\"Gain de feedback\")\n", + "axes[1].legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "df2cd9e3", + "id": "db02a95b", "metadata": {}, "source": [ - "**Verified:** `h ≡ 1` with `max|h - 1| < 1e-9` at the fixed point." + "**Résultat attendu.** Plus $\\varphi$ est grand, plus $q$ retourne\n", + "rapidement à $0$.\n", + "\n", + "**Lecture du graphique.** Décroissance exponentielle visible ; gain\n", + "plat (régime stationnaire de la Riccati).\n", + "\n", + "**Conclusion.** Le primitive fournit le gain optimal pour tout\n", + "problème linéaire-quadratique scalaire à pénalité d'impact.\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/14_mckean_vlasov.ipynb b/examples/notebooks/14_mckean_vlasov.ipynb index de6c5c7..593194f 100644 --- a/examples/notebooks/14_mckean_vlasov.ipynb +++ b/examples/notebooks/14_mckean_vlasov.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "d5d7832e", + "id": "bab453dd", "metadata": {}, "source": [ - "# 14 — McKean–Vlasov mean-reverting dynamics" + "# 14 — Mean-reverting McKean–Vlasov\n", + "\n", + "Doc page: [mckean_vlasov.rst](../../docs/source/algorithms/mckean_vlasov.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "f097c046", + "id": "ef5d758f", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:13.179893Z", - "iopub.status.busy": "2026-05-12T10:16:13.179607Z", - "iopub.status.idle": "2026-05-12T10:16:13.884485Z", - "shell.execute_reply": "2026-05-12T10:16:13.882300Z" + "iopub.execute_input": "2026-05-12T14:05:47.635814Z", + "iopub.status.busy": "2026-05-12T14:05:47.635518Z", + "iopub.status.idle": "2026-05-12T14:05:48.206290Z", + "shell.execute_reply": "2026-05-12T14:05:48.204534Z" } }, "outputs": [], @@ -25,20 +27,44 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" + ] + }, + { + "cell_type": "markdown", + "id": "e2a30664", + "metadata": {}, + "source": [ + "## Cellule 1 — Conservation de la moyenne\n", + "\n", + "**Théorème (McKean 1966).** Pour la dynamique de champ moyen\n", + "$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i,\n", + " \\qquad \\bar X_t = \\frac{1}{N}\\sum_j X_t^j,$$\n", + "la moyenne empirique est conservée en espérance,\n", + "$\\mathbb{E}[\\bar X_t] = \\bar X_0$.\n", + "\n", + "**Équation pivot.** $\\mathbb{E}[\\bar X_t] = \\bar X_0$ pour tout $t$.\n", + "\n", + "**Démonstration.** Sommer l'EDS sur $i$ : la dérive interne s'annule\n", + "(moyenne — individu). $\\square$\n", + "\n", + "**Ce que la cellule vérifie.** `mean_reverting_mckean_vlasov` préserve\n", + "la moyenne et concentre la variance.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "3131411f", + "id": "abd6c348", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:13.888394Z", - "iopub.status.busy": "2026-05-12T10:16:13.888018Z", - "iopub.status.idle": "2026-05-12T10:16:13.982143Z", - "shell.execute_reply": "2026-05-12T10:16:13.980768Z" + "iopub.execute_input": "2026-05-12T14:05:48.211278Z", + "iopub.status.busy": "2026-05-12T14:05:48.210791Z", + "iopub.status.idle": "2026-05-12T14:05:48.950554Z", + "shell.execute_reply": "2026-05-12T14:05:48.949277Z" } }, "outputs": [ @@ -46,45 +72,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "initial mean = 7.105427357601002e-17\n", - "final mean = -0.003086441510327802\n", - "final std = 0.43383156366774833\n" + "n_steps stocké : 201 (snapshots)\n", + "n_particles : 500\n", + "Moyenne initiale : -8.527e-17\n", + "Moyenne finale : -1.148e-02\n", + "Variance init : 0.335\n", + "Variance finale : 0.039\n" ] - } - ], - "source": [ - "init = np.linspace(-2.0, 2.0, 200).tolist()\n", - "init_mean = float(np.mean(init))\n", - "res = opt.mean_reverting_mckean_vlasov(\n", - " initial=init, theta=1.0, sigma=0.1,\n", - " n_steps=1000, t_horizon=1.0, seed=42,\n", - ")\n", - "n_t = res['n_steps']; n_p = res['n_particles']\n", - "X = np.array(res['paths_flat']).reshape(n_t, n_p)\n", - "tg = np.array(res['time_grid'])\n", - "print('initial mean =', init_mean)\n", - "print('final mean =', float(X[-1].mean()))\n", - "print('final std =', float(X[-1].std()))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "584c7508", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:13.986355Z", - "iopub.status.busy": "2026-05-12T10:16:13.985990Z", - "iopub.status.idle": "2026-05-12T10:16:14.374960Z", - "shell.execute_reply": "2026-05-12T10:16:14.373158Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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", 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" + "
" ] }, "metadata": {}, @@ -92,62 +92,157 @@ } ], "source": [ - "fig, ax = plt.subplots()\n", - "ax.plot(tg, X[:, ::20], color='tab:blue', alpha=0.2, lw=0.6)\n", - "ax.plot(tg, X.mean(axis=1), color='red', lw=2, label='empirical mean')\n", - "ax.axhline(init_mean, color='k', ls=':', label='initial mean')\n", - "ax.set_xlabel('t'); ax.set_ylabel('X^i_t'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Mean-reverting McKean–Vlasov — 200 particles')\n", - "fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "f2c35644", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:14.379071Z", - "iopub.status.busy": "2026-05-12T10:16:14.378605Z", - "iopub.status.idle": "2026-05-12T10:16:14.946058Z", - "shell.execute_reply": "2026-05-12T10:16:14.944401Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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3N1f16tVzO5asrKxid4Fp0qSJGjRooJ9++qnMsUVXRctaEjNmzBgtXLhQDz30kN544w0NHz7csa6/PEX5t9vtTvPot79kXRyPu8tzzIypjDX2w4cP1/z58/XYY49p+PDhjjscffjhh3rnnXc0cuRIx1r70pQ2Xz///HO3P5H3t1JSUjR9+nQtXrxYgwYNcqyzP3XqlJ566imX9+PKnCkJa+yBqkVhD9Qw9erVc+mqWEREhK6//no9//zzCgkJUZcuXZSZmalVq1a5/amOycnJ+uMf/6iXX35ZVqtVN9xwg06dOqXly5erTZs22rdvn+krgiVJTExU27Zt9cgjj+iXX35RmzZt9OOPP+rpp59W8+bNK7TG++GHH9bWrVs1dOhQ3XnnnUpMTNTevXv16quvqnnz5k7ryWvXrq1169bpxhtvVFJSkm677TYlJibqzJkz+v7777VhwwYtXLjQ1P3Ax44dq0OHDik5OVnNmjVTYWGhXn/9de3fv1/jx48vc2zr1q0VERGhZcuWqXbt2oqKilJcXJzjza2S1KxZM1133XV64YUXHMdz1U033aTp06fruuuu05AhQ5SXl6eNGzfq/PnzJfbv2rWrduzYoUWLFikhIUEWi8Xp1qWljVm1apUeeOABJSUlKSAgQDfccIPTm1B/qzLW2F9++eWaNm2a0tLS1LNnT40YMUInT57U3//+dzVs2FAPP/xwufu4+uqrFR8fr8mTJ+uHH35Qs2bN9PXXX2vlypVq166dPvroI9PxtWzZUpMnT9bixYt19dVX65ZbbtH58+f1zDPPqFGjRiW+/6QkV111lQICAjR//nxZrVaFh4fr0ksvVZcuXcocxxp7oIp563Y8ACrfxbe7LE9Jt7vMzs427rjjDuOSSy4xQkJCjMsvv9x45JFHjB07dhS7TV55t8PLz883ZsyYYTRu3NgIDg42kpKSjBUrVhiPP/64Icn44IMPytxXWfsvuv3fxX766Sdj2LBhRlxcnBEaGmp06NDBWLVqldv7Lsk333xj3HjjjUZERIRRp04do1+/fsYnn3xi9OjRw+l2l0W+/vprY+TIkUbjxo2NWrVqGTExMcYVV1xhzJgxwzh06FCZ51Hkt7d3/Pe//23ceOONRpMmTYyQkBAjOjra6Ny5s7F8+XLDZrOVe25vvPGG8bvf/c4ICQkxJJV468jNmzcbkow2bdq4lJciNpvNWLRokdGyZUsjJCTEaNSokXHnnXcap06dKvHWlgcOHDD69etnREREuHyryZ9//tkYPHiwER0dbVgsFkOS8eOPP7oVp6fY7XZj+fLlRrt27YyQkBCjfv36xrBhw9yK54svvjAGDBhgREdHG7Vr1za6du1qbN682XGLzov35c48KYrv73//u9GiRQujVq1aRrNmzYwHH3zQ2L59u8u3uzQMw1i7dq2RlJRk1KpVy9QtSisDt7sEnFkMw4feZQOgxrn77ru1bNkyHT9+3O2/BKBybd26Vf3799djjz2me+65x9vhAADKQWEPoErk5eUVu2POoUOH1KZNGzVv3lyffvqpdwJDqQYMGKB33nlHR44cKfHuPQAA38IaewBVIi0tTf/5z3/Up08fxcXF6dtvv9XKlSuVn5+vv/3tb94OD//vxIkT2rlzp/bt26ctW7ZoypQpFPUAUE1wxR5AlXjrrbe0aNEiffnll44P2+natatmzpzp8TuVwLxdu3apV69eioyM1B//+Ef94x//KPbBSwAA30RhDwAAAPiBgPK7AAAAAPB1FPYAAACAH6CwBwAAAPwAd8X5f/n5+friiy8UGxvr+EhwAAAAwJsKCwuVlZWldu3aKTQ0tMy+VLD/74svvlDnzp29HQYAAABQzL59+3TVVVeV2YfC/v/FxsZK+jVp8fHxVXpsm82m7Oxs1a9fX4GBgVV67OqKnJlD3txHzswhb+4jZ+4jZ+aQN/d5M2eZmZnq3Lmzo1YtC4X9/ytafhMfH6/GjRtX6bFtNptCQkIUGxvLN5iLyJk55M195Mwc8uY+cuY+cmYOeXOfL+TMlaXivHkWAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHePMsAAAAHAzD0MmTJ5Wfny+bzebtcHyCYRjKz8/XuXPnZLFYPLLPwMBAhYaGKiYmxmP7pLAHAACApF8L2KNHj+rMmTMKDg7mrjn/z2KxKCQkxGMFuCSdP39ev/zyiwoKCnTJJZd4ZN8U9gAAAJAknTx5UmfOnFFcXJzq16/v7XB8hmEYKiwsVFBQkEeL++zsbJ04cUInT5506T715WGNPQAAACRJ+fn5Cg4OpqivIvXr11dwcLDy8/M9sj8KewAAAEj69YOYWH5TtQIDAz32XgYKewAAAMAPUNgDAAAAfoDCHgAAAH5n06ZNWrZsWZUe0zAMLVy4UAkJCQoLC1O3bt20d+/eKjs+d8UBAABAuf6+/YDXjj2xXyu3x2zatEkffvih7rrrrkqIqGSLFi3SnDlztHDhQrVv315PPfWUkpOT9emnn+qyyy6r9ONT2AMAvCc9reztvWZUTRwAUEH5+flKS0vT5MmTNXHiREnSNddco1atWmnx4sVV8tcDluIAAADAr4waNUrPPvus9u/fL4vFIovFolGjRlXqMXfv3q3c3FwNHTrU0RYcHKzBgwfrzTffrNRjF+GKPQAAAPzKAw88oKysLGVkZOj555+XpDI/AMput8tut5e6/eIPqCpNRkaGJCkxMdGpPSkpSYcOHdK5c+cUFhbmzmm4jSv2AAAA8CvNmzdXbGyswsLC1LVrV3Xt2lXNmzcvtf+DDz6oWrVqlfoVHBys2rVrl3lMq9WqkJAQhYaGOrVHR0fLMAxZrVaPnFtZuGIPAACAGm3s2LEaOHBgqdsNw/DYh0hVJgp7AAAA1GgNGzZUXFxcqduLluKUJTo6WgUFBcrPz3e6am+1WmWxWBQdHe2xeEvDUhwAAADUaJ5YilO0tv6bb75xas/IyHDc176yccUeAAAAfic4OFj5+fku9fXEUpzu3bsrMjJS69evV4cOHSRJFy5c0IYNGzRgwADXA68ACnsAAAD4naSkJK1evVovvviiWrZsqZiYGDVr1qzEvo0aNVKjRo1K3ZcrS3FCQ0M1Y8YMzZ07V7GxsWrXrp2WLVum7OxsTZkypSKn4jIKewAAAPid22+/Xfv27dOECROUnZ2tkSNHau3atZV6zOnTp8swDC1evFhZWVnq2LGj3nrrrSr51FmJwh4AAAAumNivlbdDcEtkZKRefPHFKj2mxWLRjBkzNGOGdz41mzfPAgAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/QGEPAAAA+AEKewAAAMAPUNgDAAAAfoDCHgAAAPADFPYAAADwO5s2bdKyZcuq5Fhz586VxWIp86tZs2aVHkdQpR8BAAAA1V96mveO3WuG20M2bdqkDz/8UHfddVclBOQsNTVV119/vePxM888oxdeeEFvv/22oy0kJKTS46CwBwAAACqgcePGaty4sePx1q1bFRAQoK5du1ZpHCzFAQAAgF8ZNWqUnn32We3fv9+xFGbUqFHeDqvSccUeACqbK3++NvFnZlN8KRYAqCQPPPCAsrKylJGRoeeff16SFBsbW2p/u90uu91e6nbDMFRYWKigIN8unbliDwAAAL/SvHlzxcbGKiwsTF27dlXXrl3VvHnzUvs/+OCDqlWrVqlfwcHBql27dhWegTm+/WsHAAAAUMnGjh2rgQMHlrrdMAzZbLYqjMgcCnsAAADUaA0bNlRcXFyp24uW4vg6luIAAACgRmMpDgAAAOCjgoODlZ+f71JfluIAAAAAPiopKUmrV6/Wiy++qJYtWyomJqbUT39t1KiRGjVqVOq+qstSHAp7AAAA+J3bb79d+/bt04QJE5Sdna2RI0dq7dq13g6rUlHYAwAAoHzV7DMuIiMj9eKLL3rl2HPnztXcuXOr/Lg+8+bZ7777TuPGjVPHjh0VFBSktm3bujTOMAwtXLhQCQkJCgsLU7du3bR3795KjhYAAADwLT5T2O/fv19vvPGGWrRoodatW7s8btGiRZozZ44mTpyo119/XfHx8UpOTtYPP/xQidECAAAAvsVnCvsbbrhBhw8f1iuvvKJOnTq5NCY/P19paWmaPHmyJk6cqD59+uill15SvXr1tHjx4kqOGAAAAPAdPlPYBwS4H8ru3buVm5uroUOHOtqCg4M1ePBgvfnmm54MDwAAAPBpPlPYm5GRkSFJSkxMdGpPSkrSoUOHdO7cOW+EBQAAAFS5an1XHKvVqpCQEIWGhjq1R0dHyzAMWa1WhYWFlTg2NzdXubm5jseZmZmSJJvNVuUfQGCz2WS326vFBx/4CnJmDnlzn0dyZlhcOZD5/bujimJxOW/lxVOD5irfn+4jZ+aUlTeLxaLCwkIZhuGFyHyXYRiOL08rLCxUcHBwqfPYnfldrQv7iliyZInmzZtXrD07O1shISFVGovdbldOTo4kc0uSaiJyZg55c59HclYYXn6frCxz+3ZXFcXict7Ki6eq8uID+P50Hzkzp6y8XbhwQfn5+crKylJ0dLQ3wvNJF3/yrMXiwgUSF1mtVsen42aV8nqXnZ3t8v6qdWEfHR2tgoIC5efnO121t1qtslgsZU7ISZMmKTU11fE4MzNTnTt3Vv369RUbG1upcf9W0USJiYlRYGBglR67uiJn5pA393kkZ0Fny+9TVa87VRSLy3krL54qfj32Jr4/3UfOzCkrbzExMTp27JhOnjyp3NxcBQVV61LRY4qu1lssFo8V9oWFhTp//rwiIyPVqFGjUvdbUFDg8j6r9bNVtLb+m2++UYcOHRztGRkZjvvalyYyMlKRkZHF2gMDA73y4hAQEOC1Y1dX5Mwc8ua+CufM4sKfbqvq+ajCWFzKW3nx1LB5yven+8iZOWXlrUmTJjp58qTy8/NZ5nSRgoKCYsu/KyIkJER169ZVTExMmb8suDO3q3Vh3717d0VGRmr9+vWOwv7ChQvasGGDBgwY4OXoAAAAqh+LxVLlqxd8nc1mU1ZWlmJjY336l0ifKezz8vIct6j86aeflJubq1deeUWS1KNHD8XGxqpPnz766aef9N1330mSQkNDNWPGDM2dO1exsbFq166dli1bpuzsbE2ZMsVr5wIAAABUNZ8p7E+cOKGbbrrJqa3ocXp6unr27CmbzabCwkKnPtOnT5dhGFq8eLGysrLUsWNHvfXWW7rsssuqLHYAAADA23ymsG/WrFm5txDatWtXsTaLxaIZM2ZoxowZlRQZAAAA4Pu4NxQAAADgByjsAQAAAD9AYQ8AAAD4AZ9ZYw8AADwsPa38Pr14jxrgL7hiDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/QGEPAAAA+AEKewAAAMAPUNgDAAAAfoDCHgAAAPADFPYAAACAH6CwBwAAAPwAhT0AAADgByjsAQAAAD9AYQ8AAAD4AQp7AAAAwA9Q2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHgrwdAACgGkpPK3u7YZFaj6qSUDymvHOSpF4zKj8OybdiAVBtcMUeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/YKqwv++++/Ttt996OhYAAAAAJpkq7NetW6fExERdc801evbZZ5WXl+fpuAAAAAC4wVRhf/jwYb366qtq0KCBxo4dq/j4eI0dO1Z79uwxHUhGRob69eun8PBwNWzYUNOmTdP58+fLHZedna1x48YpISFB4eHhatu2rZYvX246DgAAAKA6CjIzKCAgQH/4wx/0hz/8QdnZ2Vq3bp3Wrl2rVatWKTExUaNHj9aIESMUFxfn0v6sVqt69+6tli1basOGDTp69KgmTZqkvLw8Pfnkk2WOvemmm5SRkaEFCxYoISFBb775pu68804FBgZqzJgxZk4PAAAAqHYq/ObZ+vXr695779Vzzz2na665Rl9//bWmTp2qJk2aaOTIkcrKyip3H8uXL1dubq42btyo6667TqNHj9Yjjzyi5cuX69ixY6WOO378uNLT07VgwQKNGjVKvXv31uLFi3XttdfqpZdequipAQAAANVGhQr7nJwc/eMf/9CVV16p3/3ud8rNzdVTTz2lY8eO6R//+Ifee+89DRs2rNz9bNmyRX379lW9evUcbUOHDpXdbte2bdtKHXfhwgVJUt26dZ3a69atK8MwTJ4VAAAAUP2YWoqzc+dOrV69Wps2bVJQUJBuueUWPf3007riiiscfUaPHq0mTZrohhtuKHd/GRkZGj16tFNbVFSU4uPjlZGRUeq4Jk2aKDk5WQsWLNDll1+uJk2aaMuWLdq2bZuef/55M6cGAAAAVEumCvt+/fqpS5cueuKJJzRs2DDVrl27xH6tWrXSLbfcUu7+rFaroqKiirVHR0fr1KlTZY7dsGGDbr75ZrVp00aSFBgYqCeeeEJ/+tOfyhyXm5ur3Nxcx+PMzExJks1mk81mKzdmT7LZbLLb7VV+3OqMnJlD3tznkZwZFlcOZH7/7vBULOXsx2ZYXMtbefFU5Vz18vPkNNeq6HlyeT8+itc0c8ib+7yZM3eOaaqw//zzz9W2bdty+zVt2lRr1qwxcwiXGIah2267Td9++61eeOEFxcfHa/v27br33nsVHR1d5jKgJUuWaN68ecXas7OzFRISUmkxl8RutysnJ0fSr29MRvnImTnkzX0eyVlhePl9XHg/kkd4KpZy9mOXxbW8lRdPVeVF8vrz5DTXquh5cnk/PorXNHPIm/u8mbPs7GyX+5oq7O+55x4tW7ZMiYmJxbYdOHBA48aN09tvv+3y/qKjox3JupjVanVad/9bb7zxhtavX6/PP/9c7dq1kyT17NlTJ06c0OTJk8ss7CdNmqTU1FTH48zMTHXu3Fn169dXbGysy7F7QtFvYjExMQoMDKzSY1dX5Mwc8uY+j+Qs6Gz5farqdcdTsZSzH5thkerWLT9v5cVTla/HXn6enOZaFT1PLu/HR/GaZg55c583c1ZQUOByX1OF/a5du5yWsVwsNzdX7777rlv7S0xMLLaWPicnR5mZmSX+8lDkq6++UmBgYLG/Hvzud7/TM888o7y8vFKXCUVGRioyMrJYe2BgoFcmeUBAgNeOXV2RM3PIm/sqnDOLC2/mr6rnw1OxuLAfl/JW3n6qcp76wPPkyFkVPk9VmuNKwGuaOeTNfd7KmTvHM1XYS5LFUvK6vd27d7t8//oi/fv314IFC3T69GnHWvv169crICBAycnJpY5r2rSpbDabPv/8c3Xo0MHR/tFHHykuLq7Uoh4AJEnpaeX3uXZa5ccBAIAHuLxIKC0tzXGV22KxqFevXo7HRV8hISGaOHFiuW9c/a1x48YpIiJCKSkp2rZtm9asWaOpU6dq3LhxatSokaNfnz591KJFC8fjAQMGKCEhQUOGDNE///lP7dy5U9OnT9fatWs1YcIEt2IAAAAAqjOXr9h3795dkydPlmEYevDBB3XLLbeocePGTn2Cg4OVlJTk0i0uLxYdHa2dO3dqwoQJSklJUUREhFJTUzV//nynfjabTYWFhY7HERER2rlzp+6//35Nnz5dp0+f1qWXXqolS5Zo/PjxbsUAAAAAVGcuF/Y9evRQjx49JP26DCc1NVWXXHKJxwJJSkrSjh07yuyza9euYm0tWrTQv/71L4/FAQAAAFRHptbYz5kzx9NxAAAAAKgAlwv7QYMG6dFHH1XLli01aNCgMvtaLBZt3ry5wsEBAAAAcI3Lhf2ZM2cc9/DMzc0t9a44AAAAAKqey4V9enq64/8lrXUHAAAA4D0e/Uzc8+fPe3J3AAAAAFxkqrBft26dnnjiCcfjL7/8Ui1btlTt2rXVs2dPnThxwmMBAgAAACifqcL+b3/7mwIC/jd0woQJCg4O1tKlS5WZmamZM2d6LEAAAAAA5TN1u8uDBw+qdevWkqSTJ0/qvffe0+uvv67rr79esbGxmjJlikeDBAAAAFA2U1fsAwICHOvp09PTVatWLfXq1UuSFB8fr+zsbM9FCAAAAKBcpq7Yd+jQQcuWLVPjxo31+OOPq3fv3goJCZEkHTp0SHFxcR4NEgAAAEDZTBX2CxYs0MCBA9W+fXtFRERox44djm0bN25U586dPRYgAAAAgPKZKuyvvvpqHTp0SAcOHFDz5s0VFRXl2Hb77berRYsWnooPAAAAgAtMFfaSFBERoSuuuKJY+4ABAyoUEAAAAAD3mS7sv/nmG/373//WkSNHlJ+f77TNYrFo1apVFQ4OAAAAgGtMFfbr1q3TbbfdptDQUDVt2lTBwcFO2y0Wi0eCAwAAAOAaU4X9Qw89pCFDhmj16tWqXbu2p2MCAAAA4CZT97E/duyYxowZQ1EPAAAA+AhThf21116rL7/80tOxAAAAADDJ9H3s//znPys0NFT9+vVzut1lkXr16lU0NgAAAAAuMlXYd+rUSZJ05513lvpGWZvNZj4qAAAAAG4xVdivXr2aO98AAAAAPsRUYT9q1CgPhwEAQCVKT/N2BP9TWiyGRSoMl4LOSq5cO/OlcwLgE0y9ebaI1WrVe++9pxdeeEFWq1WSlJ+fL7vd7pHgAAAAALjGVGFvt9s1c+ZMNWnSRD169NCIESP0448/SpIGDx6shx56yKNBAgAAACibqcJ+9uzZevLJJ/Xoo4/qwIEDMgzDsW3QoEF67bXXPBYgAAAAgPKZWmO/du1aLViwQHfccUexu980b95c33//vUeCAwAAAOAaU1fss7OzlZSUVOI2m82mCxcuVCgoAAAAAO4xVdi3atVK27dvL3Hbrl271LZt2woFBQAAAMA9ppbiTJw4UWPGjFGtWrU0ZMgQSdKRI0e0Z88ePf7441q7dq0nYwQAAABQDtP3sT916pTmzp2rBQsWSJJSUlIUHh6uhx9+WEOHDvVokAAAAADKZqqwl6RJkyZp7Nix2r17t06ePKl69eqpW7duqlu3rifjAwAAAOAC04W9JNWpU0fJycmeigUAAACASS4X9s8995xbO/7LX/7idjAAAAAAzHG5sB81apTTY4vFIklOH05V1CZR2AMAAABVyeXbXVqtVsfXf//7XzVt2lSzZs3SZ599puPHj+uzzz7T/fffr6ZNm+qDDz6ozJgBAAAA/IbLV+wvflPsfffdp7Fjx+q+++5ztMXFxaldu3YKCwvT9OnTtXPnTs9GCgAAAKBUpj6gavfu3briiitK3HbFFVdo7969FQoKAAAAgHtMFfZxcXH617/+VeK2l156SbGxsRUKCgAAAIB7TN3ucubMmbrjjjv0/fffKyUlRXFxcTpx4oQ2btyod999V08//bSn4wQAAABQBlOF/ZgxYxQfH6/58+dr6tSpKiwsVFBQkDp16qTNmzfrhhtu8HScAAAAAMpg+gOqBg4cqIEDB8putysrK0uxsbEKCDC1sgcAAABABVXok2clKSAgQA0aNPBELAAAAABM4hI7AAAA4Aco7AEAAAA/4DOFfUZGhvr166fw8HA1bNhQ06ZN0/nz510ae/ToUY0cOVKxsbEKCwtTUlKSnn/++UqOGAAAAPAdFV5j7wlWq1W9e/dWy5YttWHDBh09elSTJk1SXl6ennzyyTLHZmZmqlu3brr88su1YsUKRUZGav/+/SooKKii6AH4tXf+JhWGS0FnJYtRecdJTyu/T68ZlXd8X+VKXgAAknyksF++fLlyc3O1ceNG1atXT5JUWFiou+66SzNnzlSjRo1KHTtt2jQ1adJEW7duVWBgoCSpT58+VRI3AAAA4CtcLuwHDRrk8k4tFos2b97scv8tW7aob9++jqJekoYOHapx48Zp27ZtGjVqVInjcnNz9fLLL2v16tWOoh4AAACoiVxeY5+bm6szZ8649JWbm+tWEBkZGUpMTHRqi4qKUnx8vDIyMkod9/HHH+v8+fOqVauWevTooVq1aqlhw4aaPn26Lly44FYMAAAAQHXm8hX7Xbt2VVoQVqtVUVFRxdqjo6N16tSpUscdP35ckpSamqoxY8Zo7ty52rdvn2bPnq2AgAClpZW+NjM3N9fpF5DMzExJks1mk81mM3km5thsNtnt9io/bnVGzswhb79hWMrtYjMsshu//ut1nnjeXDkPV45Tzn5shsW1ueYLeXVHJT4HXptr1fj1gNc0c8ib+7yZM3eO6RNr7M2y2+2SpL59++rRRx+VJPXq1UtnzpzR4sWLNXv2bIWFhZU4dsmSJZo3b16x9uzsbIWEhFRe0CWw2+3KycmRJD6910XkzBzy9huF4eV2scuiHHuoZLMoQJX45llXZGVVfB8unLNLxylnP3ZZXJtrrsTjSyrxOfDaXPPEOXkJr2nmkDf3eTNn2dnZLvc1Xdjb7Xa9/fbbOnDggPLz84ttnzRpksv7io6OdiTrYlar1WndfUnjJKl3795O7X369NH8+fP13XffqV27diWOnTRpklJTUx2PMzMz1blzZ9WvX1+xsbEux+4JRb+JxcTE8F4BF5Ezc8jbbwSdLbeLzbBIhqGYwDwFVuZdcVzhidcmF87ZpeOUsx+bYZHq1i1/rrkSjy+pxOfAa3Otin/meRKvaeaQN/d5M2fu3OnRVGF//Phx9ezZUwcOHJDFYpFh/PoCZLH878+H7hT2iYmJxdbS5+TkKDMzs9ja+4u1bt26zP2W9AtHkcjISEVGRhZrDwwM9MokDwgI8NqxqytyZg55u4iLxVOARQq0GN4v7D3xnLlyDq4cx4X9uDTXvJ1Td1Xyc+CVuVbNXwt4TTOHvLnPWzlz53im/pYwadIk1a9fX4cPH5ZhGPrggw908OBBPfTQQ2rZsqUOHDjg1v769++vHTt26PTp04629evXKyAgQMnJyaWOa9q0qdq1a6cdO3Y4tW/fvl1hYWHlFv4AAACAvzBV2L/77ruaPHmy4uPjJUmGYSghIUEzZ87UiBEjNH78eLf2N27cOEVERCglJUXbtm3TmjVrNHXqVI0bN87pHvZ9+vRRixYtnMbOnz9fr776qu69915t375dCxYs0OLFizVp0iSFh1eztZsAAACASaYK+5ycHMXGxiogIECRkZE6ceKEY1u3bt30/vvvu7W/6Oho7dy5U0FBQUpJSdF9992n1NRULVmyxKmfzWZTYWGhU9sNN9ygF198UTt27NDAgQO1YsUKzZs3Tw899JCZUwMAAACqJVNr7C+99FLH7SHbtGmjdevWaeDAgZLk9Omx7khKSiq2pOa3Srvl5s0336ybb77Z7WMCAAAA/sJUYf+HP/xB27Zt09ChQzVr1izdeOONiouLU61atXT8+HEtWrTI03ECAAAAKIOpwv7iD37q37+/du/erY0bN+rcuXPq16+f+vfv77EAAQAAAJTPIx9QdeWVV+rKK6/0xK4AAAAAmGDqzbM7d+7UmjVrSty2du1apaenVygoAAAAAO4xVdjPmjVLP//8c4nbsrKyNGvWrAoFBQAAAMA9pgr7/fv3l7r0plOnTtq/f3+FggIAAADgHlOFvcViUU5OTonbrFarbDZbhYICAAAA4B5ThX2XLl301FNPyTAMp3bDMLRs2TJ16dLFI8EBAAAAcI2pu+LMmzdPvXr1Uvv27TVq1CjFx8fr2LFjeu6553TgwIFSP0gKAAAAQOUwVdh369ZNO3fu1LRp0zR9+nTZ7XYFBAQ42rt27erpOAEAAACUwfR97K+++mr95z//0blz52S1WhUVFaXatWt7MjYAAAAALqrwB1SFhYUpLCzME7EAAAAAMMnlwv6ee+7RlClTlJCQoHvuuafMvhaLRY899liFgwMAAADgGpcL+9dee0233367EhIS9Oqrr8pisZTal8IeQKVKT/N2BN5RU88bAOASlwv7H3/80fH/gwcPVkYsAAAAAExy+z72+fn5GjRokN59993KiAcAAACACW4X9qGhoXrnnXf4dFkAAADAh5j65Nnk5GRt27bN07EAAAAAMMnU7S5vu+023XHHHTpz5owGDBigBg0aFHszbadOnTwSIAAAAIDymSrsBw4cKElatmyZli1b5lTUG4Yhi8XCUh0AAACgCpkq7NPT0z0dBwAAAIAKMFXY9+jRw9NxAAAAAKgAU2+eBQAAAOBbXL5iHxkZqfT0dF1xxRWKiIgo85NnJSk3N7fCwQEAAABwjcuF/eTJkxUfH+/4f3mFPQAAAICq43JhP2fOHMf/586dWxmxAAAAADDJ1JtnL3bkyBFlZmYqPj5ejRs39kRMAAAAANxk+s2zK1asUEJCgpo2baquXbuqadOmatKkiZ5++mlPxgcAAADABaau2Kelpen+++/XiBEjNGTIEDVo0EA///yz1q9fr7vuukunTp3SjBkzPB0rAAAAgFKYKuyfeOIJTZ06VYsWLXJqv+GGG9SgQQM98cQTFPYAAABAFTK1FCc3N1d9+/YtcVtycrLOnDlToaAAAAAAuMdUYX/ddddpx44dJW7bvn27+vTpU6GgAAAAALjH1FKc1NRU3XHHHTpx4oRSUlIUFxenEydOaOPGjXr77bf19NNP6+OPP3b079Spk8cCBgAAAFCcqcL+D3/4gyTp2Wef1bPPPiuLxSLDMBzbBw4cKEkyDEMWi0U2m80DoQIAAAAojanCPj093dNxAAAAAKgAU4V9jx49PB0HAAAAgAqo8CfP5uXlKT8/v1h7vXr1KrprAAAAAC4yVdjn5uZq2rRpWr9+vU6fPl1iH9bVAwAAAFXHVGF/22236e2331ZqaqpatWql4OBgT8cFwF+lp3k7ApSH56hiyB8ALzFV2O/YsUPLli3Trbfe6ul4AAAAAJhg6gOq4uPjVbduXU/HAgAAAMAkU4X93LlzlZaWVur6egAAAABVy9RSnGHDhunzzz9XQkKCOnbsqKioKKftFotFmzdv9kR8AAAAAFxg6or93//+dy1cuFDh4eGy2Ww6c+aM01dubq7b+8zIyFC/fv0UHh6uhg0batq0aTp//rxb+1i6dKksFovjk28BAACAmsLUFfuFCxfq7rvv1mOPPaaAAFO/GzixWq3q3bu3WrZsqQ0bNujo0aOaNGmS8vLy9OSTT7q0j+PHj2vevHmKi4urcDwAAABAdWOqsD9//rxSUlI8UtRL0vLly5Wbm6uNGzc6PtiqsLBQd911l2bOnKlGjRqVu49p06Zp0KBB+umnnzwSEwAAAFCdmKrMhw0bpjfffNNjQWzZskV9+/Z1+rTaoUOHym63a9u2beWOf//997Vp0yYtXLjQYzEBAAAA1YmpK/ZXX321Zs2apczMTPXt27fYm2clafDgwS7vLyMjQ6NHj3Zqi4qKUnx8vDIyMsoca7PZNH78eN1///2Kj493+ZgAAACAPzFV2P/lL3+RJB06dEgvvfRSse0Wi0U2m83l/Vmt1hJ/OYiOjtapU6fKHLts2TKdPXtWEydOdPl4kpSbm+v0Jt/MzExJv/6i4E7snmCz2WS326v8uNUZOTPHJ/JmWLx3bBNshkV249d/4TqbYXFtrlW3vLryvWPynLw216rx66hPvKZVQ+TNfd7MmTvHNFXY//jjj2aGedyJEyc0e/ZsPffccwoODnZr7JIlSzRv3rxi7dnZ2QoJCfFUiC6x2+3KycmRJI+9b8HfkTNzfCJvheHeOa5JdlmUYw+VbBYFyPB2ONWGXRbX5lo1mw/Kyiq/j8lz8tpcc+WcfJRPvKZVQ+TNfd7MWXZ2tst9TRX2TZs2NTOsVNHR0Y5kXcxqtTqtu/+t2bNnq3379rrmmmscH5ZVWFiowsJCnT59WnXq1FFQUMmnOGnSJKWmpjoeZ2ZmqnPnzqpfv75iY2MrdkJuKvpNLCYmRoGBgVV67OqKnJnjE3kLOuud45pkMyySYSgmME+BFgp7V9kMi1S3bvlzrZrNB7ny88HkOXltrlXxzzxP8onXtGqIvLnPmzkrKChwua+pwr7I1q1b9d///leHDx/WrFmzlJCQoHfffVctWrRw6U42RRITE4utpc/JyVFmZqYSExNLHZeRkaF3331X0dHRxbZFR0dry5Ytuv7660scGxkZqcjIyGLtgYGBXpnkAQEBXjt2dUXOzPF63qphcRxgkQItBoW9m1yaa9Utp65831TgnLwy16r5a6jXX9OqKfLmPm/lzJ3jmSrss7KylJKSor1796pJkyY6fPiwxo0bp4SEBK1evVrh4eF66qmnXN5f//79tWDBAp0+fdqx1n79+vUKCAhQcnJyqeOWLl3quFJf5N5771VYWJjS0tLUvn17M6cHAAAAVDumCvt7771XWVlZ+vLLL9WyZUun9e19+/bVww8/7Nb+xo0bpyeeeEIpKSmaOXOmjh49qqlTp2rcuHFOV/779Omjn376Sd99950kqWPHjsX2FRUVpTp16qhnz55mTg0AAAColkwV9m+88YZWrlyppKSkYu/UbdKkiY4cOeLW/qKjo7Vz505NmDBBKSkpioiIUGpqqubPn+/Uz2azqbCw0EzIAAAAgF8zVdgXFhYqPLzkd/1brVa371AjSUlJSdqxY0eZfXbt2lXuflzpAwAAAPgbU/fr6dKli1avXl3itpdeeklXX311hYICAAAA4B5TV+wffvhh9erVS9dee62GDBkii8WiTZs2KS0tTW+88Ybef/99T8cJAAAAoAymrth369ZN6enpslgsmjx5sgzD0Pz585WZmamdO3eqU6dOno4TAAAAQBlM38e+W7dueuedd3Tu3DlZrVZFRUWpdu3anowNAAAAgIsq9AFVkhQWFqawsDBPxAIAAADAJFNLcQAAAAD4lgpfsQcAoMZIT/N2BABQKq7YAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/QGEPAAAA+AEKewAAAMAPUNgDAAAAfoDCHgAAAPADFPYAAACAH6CwBwAAAPwAhT0AAADgByjsAQAAAD9AYQ8AAAD4AQp7AAAAwA9Q2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADADwR5OwD8avMnR3Uu8LQMi+/+rjWxXyuP7/Pv2w+YGmcx7Aqzna2SnPnSeVeUO3mrrPPueijbY/vrdll9j+2ryJ4fnOMzZNH5YLt+OG+VRYbHj2dGVZx3RRmy6IuC8l/X3JkP1eG8K6K0uVbp5/3DlDL77k0YW+7+vPU6WZU/C0pSXX8+VDRv1fW8K8Ji2DWsfZS3wyiX71aRAAAAAFxGYQ8AAAD4AQp7AAAAwA9Q2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPiBIG8HgOrD1z/uubJw3r5rzw/Z3g7BKzjvmqU6nHd1eL2oDJw3fI3PXLHPyMhQv379FB4eroYNG2ratGk6f/58mWMyMzM1bdo0dezYUREREWrcuLGGDx+un376qYqiBgAAAHyDT1yxt1qt6t27t1q2bKkNGzbo6NGjmjRpkvLy8vTkk0+WOu6jjz7Shg0bNHr0aHXt2lUnT57UQw89pM6dO+vLL79UbGxsFZ4FAAAA4D0+UdgvX75cubm52rhxo+rVqydJKiws1F133aWZM2eqUaNGJY77/e9/r4yMDAUF/e80unfvroSEBD333HOaPHlylcQPAAAAeJtPLMXZsmWL+vbt6yjqJWno0KGy2+3atm1bqeOioqKcinpJaty4sWJjY3Xs2LFKixcAAADwNT5R2GdkZCgxMdGpLSoqSvHx8crIyHBrXwcOHNCJEyeUlJTkyRABAAAAn+YTS3GsVquioqKKtUdHR+vUqVMu78cwDN1zzz1q1KiRbrnlljL75ubmKjc31/E4MzNTkmSz2WSz2Vw+pifYbDbJMGQx7FV63OrMYtjJmQm+kDdDFq8d2wxDFscXXGfI4tJcI6//46tzzZdfZ33hNa06Im/usxh22e32Kq8RJbl1TJ8o7D1l7ty52rlzp7Zu3arw8PAy+y5ZskTz5s0r1p6dna2QkJDKCrFEdrtdIUa+ZJfkYy/ovssgZ6Z4P2/ng6O9clyzDFlUGPTr64lFhpejqT4MWVyaa9VtPlQmX51rYbaz3g6hDN5/TaueyJv7DOXk/JqrgICqXfCSne36LW99orCPjo5WTk5OsXar1eq07r4sK1eu1IMPPqhVq1apT58+5fafNGmSUlNTHY8zMzPVuXNn1a9fv8rvpmOz2VRgOab8gNoyLD6xOsrn/Xq1QeTMTb6Qt+DzVq8c16yiq6fB560+VWz5OkMWFVhCy51r1W0+VCZfnWvnAsu+UOZNvvCaVh2RN/dZDLvq1q2rmJgYBQYGVumxCwoKXO7rE4V9YmJisbX0OTk5yszMLLb2viQbN27UnXfeqQcffFCjR4926ZiRkZGKjIws1h4YGFjlT5gkyWKRYQngG8wd5MwcL+fNlwoWV1kuWiQBN7gw18ipM1+caz7/GsvPAnPIm9sCAgK8Uie6czyfeDb79++vHTt26PTp04629evXKyAgQMnJyWWO3bVrl2655RaNGTNGDzzwQCVHCgAAAPgmnyjsx40bp4iICKWkpGjbtm1as2aNpk6dqnHjxjndw75Pnz5q0aKF4/HXX3+tlJQUtWzZUiNGjNDevXsdX99//703TgUAAADwCp9YihMdHa2dO3dqwoQJSklJUUREhFJTUzV//nynfjabTYWFhY7HH3zwgXJycpSTk6Orr77aqe/IkSO1du3aqggfAAAA8DqfKOwlKSkpSTt27Cizz65du5wejxo1SqNGjaq8oAAAAIBqwieW4gAAAACoGAp7AAAAwA9Q2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/QGEPAAAA+AEKewAAAMAPUNgDAAAAfoDCHgAAAPADFPYAAACAH6CwBwAAAPwAhT0AAADgByjsAQAAAD9AYQ8AAAD4gSBvBwAA8E+Xn3xLweetssjwdiiogK6HVpTbZ2/C2CrbD4DSccUeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7AEAAAA/QGEPAAAA+AEKewAAAMAPUNgDAAAAfoDCHgAAAPADPlPYZ2RkqF+/fgoPD1fDhg01bdo0nT9/vtxxhmFo4cKFSkhIUFhYmLp166a9e/dWQcQAAACA7/CJwt5qtap37946f/68NmzYoAULFmjFihWaNGlSuWMXLVqkOXPmaOLEiXr99dcVHx+v5ORk/fDDD1UQOQAAAOAbgrwdgCQtX75cubm52rhxo+rVqydJKiws1F133aWZM2eqUaNGJY7Lz89XWlqaJk+erIkTJ0qSrrnmGrVq1UqLFy/WsmXLquwcAAAAAG/yiSv2W7ZsUd++fR1FvSQNHTpUdrtd27ZtK3Xc7t27lZubq6FDhzragoODNXjwYL355puVGjMAAADgS3yisM/IyFBiYqJTW1RUlOLj45WRkVHmOEnFxiYlJenQoUM6d+6c54MFAAAAfJBPLMWxWq2Kiooq1h4dHa1Tp06VOS4kJEShoaHFxhmGIavVqrCwsBLH5ubmKjc31/H48OHDkqQjR47IZrOZOAvzbDabrFnHVRAQJsPiE79r+TyLYVe+/Rw5c5Mv5O3nU7945bhmGbLoQnCgap3/RRYZ3g6n2iBv7qvOOcsJPVZuH1e+913Zz8V84TWtOiJv7rMYdh058ovy8vIUGBhYpcfOzMyU9Osy9fL4RGHvDUuWLNG8efOKtXfr1s0L0QAAUJ097WP7ATxvrpePn5WVpWbNmpXZxycK++joaOXk5BRrt1qtTuvuSxpXUFCg/Px8p6v2VqtVFotF0dHRpY6dNGmSUlNTHY/z8/N1+PBhXXrppQoKqtq0ZGZmqnPnztq3b5/i4+Or9NjVFTkzh7y5j5yZQ97cR87cR87MIW/u82bOCgsLlZWVpXbt2pXb1ycK+8TExGJr6XNycpSZmVls/fxvx0nSN998ow4dOjjaMzIyHPe1L01kZKQiIyOd2lq0aGEmfI+Jj49X48aNvRpDdUPOzCFv7iNn5pA395Ez95Ezc8ib+7yVs/Ku1BfxiYVV/fv3144dO3T69GlH2/r16xUQEKDk5ORSx3Xv3l2RkZFav369o+3ChQvasGGDBgwYUJkhAwAAAD7FJwr7cePGKSIiQikpKdq2bZvWrFmjqVOnaty4cU73sO/Tp4/TVfXQ0FDNmDFDixcv1mOPPaa3335bt9xyi7KzszVlyhRvnAoAAADgFT6xFCc6Olo7d+7UhAkTlJKSooiICKWmpmr+/PlO/Ww2W7F3BE+fPl2GYWjx4sXKyspSx44d9dZbb+myyy6rylOokMjISM2ZM6fY0iCUjpyZQ97cR87MIW/uI2fuI2fmkDf3VZecWQzDqF731AIAAABQjE8sxQEAAABQMRT2AAAAgB+gsAcAAAD8AIU9AAAA4Aco7KuYzWbTI488omuvvVYxMTGqV6+eevXqpffee8+l8Tk5Obr99ttVr149RUREaMiQIcrMzKzkqH3D9u3bNXz4cDVv3lwWi0Xjx493adzBgwdlsViKfXXt2rWSI/Y+szmTavZce+2119ShQweFhoaqVatWWrNmTbljaso8y8jIUL9+/RQeHq6GDRtq2rRpOn/+fLnjDMPQwoULHR8e2K1bN+3du7cKIvYNZvPWrFmzEudVfn5+FUTtXd99953GjRunjh07KigoSG3btnVpXE2ea2ZzVpPn2fr163XjjTeqcePGCg8PV8eOHbV69WqVd28ZX51nPnG7y5rk3LlzSktL06hRozR9+nQFBgZqxYoV6tWrl7Zt26bevXuXOf7mm2/W/v37tXz5coWGhur+++9X//799eGHHyooyL+fzq1bt+qzzz5Tjx49dOrUKbfHL1iwQL169XI8joiI8GR4PqkiOaupc+3999/XH//4R6Wmpmrp0qV6++23dfvttzt+uSmPP88zq9Wq3r17q2XLltqwYYOOHj2qSZMmKS8vT08++WSZYxctWqQ5c+Zo4cKFat++vZ566iklJyfr008/rVa3JzajInmTpCFDhmjy5MlObSEhIZUVrs/Yv3+/3njjDXXp0kV2u112u92lcTV5rpnNmVRz59mSJUvUrFkzPfroo4qNjdX27ds1ZswYHT58WHPmzCl1nM/OMwNVqrCw0Dh16lSxtsTERGPgwIFljt29e7chyXjrrbccbRkZGYbFYjH+9a9/VUq8vsRmszn+37RpU+Puu+92adyPP/5oSDLWr19fWaH5LLM5q8lzLTk52ejevbtT2y233GIkJSWVOa4mzLMFCxYY4eHhRnZ2tqPt6aefNgIDA42jR4+WOu7cuXNGZGSkMWPGDEdbQUGB0bRpU+POO++s1Jh9gdm8GYZ737f+5uLXr5EjRxpt2rQpd0xNn2tmcmYYNXueZWVlFWsbM2aMERkZ6ZTPi/nyPGMpThULDAxUdHR0sbb27dvr2LFjZY7dsmWLoqKi1K9fP0fb5Zdfro4dO+rNN9+slHh9SUAA09VdZnNWU+daQUGB0tPTddNNNzm1Dxs2TF9//bUOHjzoncB8xJYtW9S3b1/Vq1fP0TZ06FDZ7XZt27at1HG7d+9Wbm6uhg4d6mgLDg7W4MGD/Xo+FTGbt5rOzOtXTZ9r/Jx0X0xMTLG23/3ud8rNzdXZs2dLHOPL84wZ4AMKCwu1d+9eJSUlldkvIyNDl19+uSwWi1N7UlKSMjIyKjNEv3DnnXcqMDBQcXFxGjNmjKnlPDVFTZ1r33//vS5cuKDExESn9qLvTVfO3Z/nWUZGRrHcREVFKT4+vszcFG0rKa+HDh3SuXPnPB+sDzGbtyLPP/+8QkJCVKdOHQ0YMEBffPFFZYVa7dX0uVYRzLP/ef/993XJJZeUupTSl+eZ/y6UrUYeeeQRHT16VBMnTiyzn9VqVVRUVLH26OhovyoePC0kJER33nmnrrvuOkVFRemDDz7Q/Pnz9eGHH2rfvn2qVauWt0P0OTV1rlmtVkkqdu5Ff2Ur69xrwjwzOy+sVqtCQkIUGhpabJxhGLJarQoLC/N0uD6jIt9PgwYNUpcuXZSQkKAffvhB8+fP1+9//3t98sknfr9e3IyaPtfMYp79z/vvv6+XXnpJjz76aKl9fHmeUdh7QE5Ojkt3C7nssssUHBzs1LZ9+3bNmTNHs2fP1hVXXFFZIfqkiuTNHfHx8Vq2bJnjcY8ePdSmTRsNHDhQGzdudPpTmq+rqpz5E3dyVhH+NM/gOx5//HHH/6+55holJycrMTFRixcvdppvQEUwz3515MgR3XzzzerVq5fuueceb4djCoW9B6xfv15jxowpt9/XX3/t9Gebjz/+WH/60580fPhwzZ49u9zx0dHROnz4cLF2q9XqtHazujCbN08YMGCAwsPD9dFHH1WrgquqcuZPc82dnBVdmc/JyXHaVnQl391zr67zrDTR0dHFciOVPy+io6NVUFCg/Px8pytcVqtVFoul2PuO/I3ZvJUkPj5ev//97/XRRx95Kjy/UtPnmqfUxHl2+vRp9e/fX/Xr19e///3vMt+v4MvzjDX2HpCamirDMMr9urjQ+u6779S/f391795dzzzzjEvHSUxM1DfffFPs3qolrd+sDszkraarqpz501xzJ2fNmzdXrVq1iq17Lm09ZU2TmJhYLDdFfxEpKzdF27755hun9oyMDMc9oP2Z2bzBfTV9rsGcc+fOaeDAgcrJydGWLVtUt27dMvv78jyjsPeCzMxMJScnKyEhQa+88orLa2/79+8vq9WqnTt3OtoOHDigTz75RAMGDKiscP3S66+/rrNnz+qqq67ydig+qabOtZCQEPXq1UuvvPKKU/u//vUvJSUlqVmzZm7tz9/mWf/+/bVjxw6dPn3a0bZ+/XoFBAQoOTm51HHdu3dXZGSk1q9f72i7cOGCNmzY4NfzqYjZvJXk2LFjev/99/1mTnlaTZ9rnlKT5llhYaGGDh2qr7/+Wlu3btUll1xS7hifnmeVdiNNlCgvL8/o0KGDERERYbz66qvGnj17HF8ff/yxU9/AwEBj9OjRTm3XXXed0aRJE+Pll182Xn31VaNdu3ZGhw4djAsXLlTlaXjFwYMHjfXr1xvr1683YmNjjeuvv97x+GK/zdukSZOMKVOmGK+88oqxY8cOY8GCBUZERIRx5ZVX+n3ezObMMGruXHvvvfeMwMBA48477zTS09ON2bNnGxaLxXj55Zed+tXEeXbq1CkjPj7e6NGjh/HWW28Zq1evNqKioord/7p3795G8+bNndrS0tKMkJAQY+nSpcbOnTuNP/3pT0ZERITx/fffV+UpeIXZvL3wwgvG8OHDjX/+85/G22+/bTzzzDNG8+bNjejoaOOHH36o6tOocmfPnnW8XvXs2dNo0qSJ4/GJEycMw2Cu/ZaZnNX0eTZmzBhDkvHoo4861WR79uwx8vPzDcOoXvOMwr6KFX2ITUlfTZs2deoryRg5cqRT2+nTp43Ro0cbUVFRRp06dYzBgweX+wEn/mLNmjWl5u5iv83bM888Y3Tq1MmIjIw0goKCjKZNmxr33nuvkZOTU8VnUPXM5swwavZc27x5s9GuXTsjODjYaNGihbFq1apifWrqPPvqq6+MPn36GGFhYUZcXJwxZcoUo6CgwKlPjx49ir2e2e12Y8GCBUbjxo2NkJAQo0uXLsbu3burMHLvMpO3PXv2GD179jRiYmKMoKAgIyYmxhg6dKiRkZFRxdF7R1k/L9PT0w3DYK79lpmc1fR51rRp01Jz9uOPPxqGUb3mmcUwfrOIFgAAAEC1wxp7AAAAwA9Q2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AIAKy83NVdOmTTVkyBCn9nHjxql+/fo6duyYlyIDgJqDwh4AUGGRkZFas2aNNmzYoHXr1kmStmzZoqefflrLli1To0aNvBwhAPg/i2EYhreDAAD4h7/+9a969tlntWvXLg0YMEA9e/bUCy+84O2wAKBGoLAHAHjMuXPn1KlTJ/3444+KiYnRF198oejoaG+HBQA1AktxAAAeExYWppSUFBUUFGj48OEU9QBQhbhiDwDwmM8//1xXXXWV2rRpo6+//loff/yxkpKSvB0WANQIFPYAAI84f/68rrrqKkVGRmrnzp26+uqrJUl79uxRUFCQl6MDAP/HUhwAgEfMnj1b33//vdauXavg4GA999xz+vLLL/Xwww97OzQAqBEo7AEAFbZ792797W9/06OPPqrmzZtLkpKSkpSWlqb58+frww8/9HKEAOD/WIoDAAAA+AGu2AMAAAB+gMIeAAAA8AMU9gAAAIAfoLAHAAAA/ACFPQAAAOAHKOwBAAAAP0BhDwAAAPgBCnsAAADAD1DYAwAAAH6Awh4AAADwAxT2AAAAgB+gsAcAAAD8AIU9AAAA4Af+Dzt4w12z0cA9AAAAAElFTkSuQmCC", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "ax.hist(X[0], bins=30, alpha=0.5, label='t = 0', density=True)\n", - "ax.hist(X[-1], bins=30, alpha=0.5, label='t = T', density=True)\n", - "ax.set_xlabel('x'); ax.set_ylabel('empirical density'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Marginal density at t = 0 and t = T')\n", + "N, T, n_steps = 500, 1.0, 200\n", + "theta, sigma = 1.5, 0.3\n", + "x0 = np.linspace(-1.0, 1.0, N).tolist() # mean = 0\n", + "\n", + "res = opt.mean_reverting_mckean_vlasov(x0, theta, sigma, n_steps, T, 42)\n", + "n_t = res['n_steps']\n", + "n_part = res['n_particles']\n", + "paths = np.array(res['paths_flat']).reshape(n_t, n_part)\n", + "ts = np.array(res['time_grid'])\n", + "\n", + "mean = paths.mean(axis=1)\n", + "var = paths.var(axis=1)\n", + "print(f\"n_steps stocké : {n_t} (snapshots)\")\n", + "print(f\"n_particles : {n_part}\")\n", + "print(f\"Moyenne initiale : {mean[0]:.3e}\")\n", + "print(f\"Moyenne finale : {mean[-1]:.3e}\")\n", + "print(f\"Variance init : {var[0]:.3f}\")\n", + "print(f\"Variance finale : {var[-1]:.3f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "for i in range(0, n_part, 25):\n", + " axes[0].plot(ts, paths[:, i], alpha=0.4, lw=0.7)\n", + "axes[0].plot(ts, mean, 'k-', lw=2, label='moyenne empirique')\n", + "axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$X_t^i$')\n", + "axes[0].set_title(\"Trajectoires McKean–Vlasov\")\n", + "axes[0].legend()\n", + "axes[1].plot(ts, var, lw=2, color='C2')\n", + "axes[1].set_xlabel('t'); axes[1].set_ylabel(r'Var($X_t$)')\n", + "axes[1].set_title(\"Variance empirique\")\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "4e622c9b", + "id": "9f7da718", "metadata": {}, "source": [ - "**Verified:** empirical mean stays within `0.05` of the initial mean." + "**Résultat attendu.** $|\\bar X_t - 0|$ très petit, variance qui\n", + "décroît vers une borne stationnaire.\n", + "\n", + "**Lecture du graphique.** Faisceau qui se contracte autour de la\n", + "moyenne ; variance qui diminue.\n", + "\n", + "**Conclusion.** Le solveur reproduit la concentration mean-field.\n" + ] + }, + { + "cell_type": "markdown", + "id": "e2f69220", + "metadata": {}, + "source": [ + "## Cellule 2 — Exemple concret : dynamique d'opinion polarisée\n", + "\n", + "**Modèle.** Modèle de DeGroot continu : opinions initialement\n", + "bimodales (deux groupes opposés). La dynamique de champ moyen\n", + "détruit progressivement la polarisation.\n", + "\n", + "**Équation pivot.**\n", + "$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i.$$\n", + "\n", + "**Ce que la cellule vérifie.** Une distribution initiale bimodale\n", + "fusionne en distribution unimodale centrée sur $\\bar X_0$.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a9afa9b3", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:05:48.954428Z", + "iopub.status.busy": "2026-05-12T14:05:48.954151Z", + "iopub.status.idle": "2026-05-12T14:05:49.953468Z", + "shell.execute_reply": "2026-05-12T14:05:49.952156Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Variance t=0 : 1.033\n", + "Variance t=mid : 0.025\n", + "Variance t=T : 0.007\n" + ] + }, + { + "data": { + "image/png": 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5GjBggL744gvXcAIl5+1jjz3m9iK69PR03XXXXTpy5IhWrVrltp2EhATXo/wlrrzySrVt21aLFy+W0+msdIwViY+Pd/1cVFQkq9WqQ4cO6dJLL5XD4aj0kBKefPjhh3I6nXrooYfc7uqNj4/XAw88IIfDoY8++shtHbPZrPvuu8+trV+/fpLkdiwrctNNN6l58+Zu250wYYKk/x2T6n7vlGYymVy5OZ1OHTlyRIcOHVKnTp2UlJTk8WWiHTt21KWXXlqpPJKTk7V371598cUX5S5TlWvX+OOO8O7du6tVq1ZuyxYXF6t///766quvdPz4ca9xlTzFcfoQBfPnz1dcXJyuueaaGu1v+PDhatiwoVtbyR3Vq1ev1u+//17hZ1cZb7/9tgzD0G233eYW26FDhzRo0CA5nU6tXLnS6zYWLlyooqIiPf7440pLSyszv+R7afny5Tp69KjGjh3rtlxERIQeffRRSfJ4vt1///1u0926dVO9evXcrofk5GRXLCdPnvQYZ3WPxciRI5WSkuKWT9++fZWbm6ujR49K8s+x8cc2AQAIdRSSAQBhKSkpyevj2qfbvn27JKl9+/Zl5sXFxalVq1ZlxpmU5LEwWr9+fR0+fNitzVPR4x//+IecTqfbsBZbtmyRJN15551KT093+3PGGWfIbrdr//79ZfZ51llnecypVatWioyMLDOvTZs2btMl+50+fXqZ/aanp+uXX37xuN/K5F9SbPD2qHpNYiit5Bidc845ZeY1bty4wmExaqIyn0V1j68nycnJatSoUZn2ktxLPgtv53ZJ2+nndqtWrdx+QVJ62zabTQcPHqxUjJVht9s1YcIE1xik9evXV3p6um655RZJktVqrfa2q5N7o0aNyrxwrn79+pJU5rr2xtM5WNJWMnZvdb93Tvfhhx/qwgsvVGxsrFJSUlznVH5+vsfPz9P3RXmmT5+u+Ph49e7dWw0bNtQ111yjefPmKT8/37VMVa7dksLhl19+6XHZ119/XQ6Ho8Ix0Vu1aqUePXroX//6l6vw6OmXc9Xdn6fPqHnz5po0aZJWrFihRo0aqWPHjrrrrrs8jjVeWSWfXceOHcvE1r9/f0mq8Duhst+x1bkepMp9t9199906//zzNXbsWKWkpKhfv36aOnWqduzY4VqmuseivP1L/7sm/XFs/LFNAABCHWMkAwDCUvv27bVmzRpt27bNNU6mP5S+w9Ob0kWP5557TrGxsVqwYIEyMzNdLxCT5LrTc+rUqerSpYvHbZW+M6uEtzFUK6Nkv2PHjtWgQYM8LhMbG1umrbz8jdNe2uTPGHzN2wviPL0orURlPovqHt9gVd3PqrQbb7xRH330kUaNGqWePXsqLS1NERER2rBhg2vM79rk7Zquznntbx999JGuvPJKnX/++ZozZ46aNWvmuk5K7hA+XVW+L7p27apt27Zp5cqVWr16tb744gu9//77evzxx/Xll1+qTZs2Vbp2S5bt2bOn16cE0tPTK4xtxIgRuu2227R48WLdcMMNWrBggZxOp2699VbXMtXdX3mf0eTJk3Xrrbfq008/1VdffaUPPvhAc+fO1eDBg7V48eJKvWCytJL4lixZ4vGXN5LnQmptqsx3W2pqqr755hutW7dOK1eu1FdffaUpU6ZoypQpevPNN3XttddW+1hU9pqszLGp6neWr483AAChjkIyACAsXXPNNVqzZo1efvllPf300xUuX/If9U2bNpWZd/z4cW3fvr3GBenSRY+SF1E9/vjjbv8RLbkLLiYmRpdcckmN9teyZUv99ttvKi4uLvPytuzsbLfp0nff1XS/pyvZ9vfff19ukclXMZS8UGrz5s1l5u3du9ftLsrylLyYzNOdnCV39FWXL4/vkSNHtG/fvjJ3JZfkXvJZlPy9adMmde3a1W3ZjRs3ui1T4rffflNRUVGZwtbmzZuVmJjoKvTU9LPKz8/XRx99pJtuuqnMS762bt1aZvmqFm1K596uXTu3eeXl7iuezsGStpLvEl987/zjH/9QTEyMvvjiC7fi57Fjx5SXl1ft+EuLi4vToEGDXNfvsmXLNHDgQM2YMUPz58+v0rWbnp6u5ORk5eXl1fgauOaaazR27FjNnz9fN9xwg/7xj38oMzNTvXv39sv+SjRv3lxjxozRmDFjVFxc7Hqh6hdffOG278o466yztGzZMmVkZFR4R7G3bUinvmM7dOhQ7nKlr4fLL7/cbZ4vrgez2ayLL75YF198saRTd4ife+65euihh3Tttdf65VicrqJjU53vLF8ebwAAQh1DWwAAwtJtt92mdu3aac6cOXrvvfc8LrN3717XG9/T09PVo0cPffbZZ/r222/dlps9e7aOHj2qq666qkYxDRs2TPHx8Zo/f77mz58vk8nkNqyFJA0YMEANGjTQX//6V49jMhYXF1f6Uf8hQ4YoLy+vTIFu8eLF+uWXX9zaOnXqpPbt2+u1115zPWpdmmEY1R7OoH///kpPT9ezzz6rnTt3lplfcpeaL2JIT0/XxRdfrGXLlum///2v27ynnnqqUvEmJCQoIyNDn3/+udvdbocPH9brr79eqW2Ux5fHV5KmTZvmNr1hwwZ99tlnrjt7JWno0KGuZUvfnXro0CG9+OKLSk5OVt++fd22U1BQoOeff96tbfHixdqyZYuGDBniGnO1pIB1+hiuX331ldavX19h/CXbOf1O34KCAs2ZM6fM8vXq1ZNU+eEuSmKdNWuWCgsLXe12u11//etfZbFYNHjw4Eptq6reeust7dq1yzXtdDo1ffp0Sf87Jr743rFYLDKZTGXuPH7yySd9cje3p2uuZPzxkmEFqnLtms1m3XTTTfr555/1j3/8w+M+Kzu8S0JCgq6++mqtWrVK7733nrZu3arhw4e7/cLBl/vLz88vM/5vRESEOnbsKKlqQ5+UuPnmmyVJEyZM8Di2cH5+voqKirxu45prrlF0dLSefPJJj9dGyXnQr18/1atXTy+88ILbLxkcDoemTp0qSdXu5zydJ02bNlWDBg1cn4svj8XpKntsWrRoocjIyDLfWVu3btXixYurtU0AAOoS7kgGAISl6OhoffLJJ7r88st13XXXae7cuRo4cKAaNGggm82mr7/+Wh9++KE6derkWue5555Tz549lZWVpTvuuEMtW7bU2rVr9c9//lMdO3bUuHHjahRTvXr1dNVVV+mtt95SXFycevbsqRYtWrgtExcXpzfffFODBw9W27Ztdeutt6pNmzYqKCjQb7/9pkWLFmnGjBllCtCePPjgg3r33Xc1duxY/fe//9X555+vLVu26PXXX1fHjh31448/upY1mUx66623lJWVpXPPPVcjRoxQ+/btdfLkSe3cuVMffvihhg8frsmTJ1c577i4OL3xxhsaOnSoOnbsqNtuu01t2rRRXl6evvjiCw0cOFBjx471WQzPPPOMevbsqd69e+uuu+5S06ZNtXz5cn3//fceX0TlyT333KMJEyZowIABuvLKK3Xw4EG98soratGiRbULHSWfha+Ob1pampYsWaK9e/eqX79+ysnJ0YsvvqiYmBg9++yzruWysrJ08803680331SfPn105ZVX6ujRo3r11Vd14MABLViwwFWgLdGqVStNmzbNdRfzli1b9Pe//13p6eluBfmzzz5bAwYM0Lx58+RwOHTeeedpy5Ytmj9/vjp06OB2jnmSkJCgSy+9VG+//baio6PVtWtX5ebm6rXXXlODBg3KLH/OOecoISFBc+fOVVxcnJKTk3XGGWcoKyvL4/bPPPNMPfLII3ryySfVrVs33Xjjja4Xfv3888+aOnWqMjMzK/ysq6Nt27bq2rWr7rjjDqWmpurDDz/U559/ruuuu85tOJuafu9cc801ev/999WrVy+NGDFChmHos88+0+bNmyt9vlcmjy5duqhJkyayWq2uIuDw4cMlVf37Y+rUqVq3bp1GjBihDz/8UD169FB8fLx2796tVatWKTY2VqtXr65UfCNGjNCCBQt0++23y2QyuWIqzVf7W716tUaPHu16YWlycrI2b96sefPmqXHjxtW6y/b888/XU089pUcffVTt2rXT9ddfryZNmujAgQP6+eef9dFHH2nz5s1ez9PGjRvrueee05gxY/SnP/1Jt956q1q0aKEDBw5o2bJluv/++zV48GAlJSXp2Wef1ejRo3X++edr5MiRio+P1/vvv6///Oc/Gj16tOtu4qq6/fbbtXv3bvXv31+ZmZkqLi7WkiVLtGnTJt19992u5Xx57Eur7LGpV6+eRo4cqZdeeknXXnutsrKytHv3bs2bN08dOnRw+4WOP443AAAhzwAAIIwVFhYaf//7340+ffoY9evXNyIiIoyUlBSjR48exqxZs4wjR464Lb9582Zj2LBhRlpamhEZGWk0b97cGDduXJnl3njjDUOSsXr16jL7HD58uFFeF7t69WpDkiHJeOONN8qNe8uWLcbw4cONJk2aGJGRkUZaWppx3nnnGRMmTDB2795dqX0ZhmHs2bPHuPHGG43k5GQjLi7OuPjii40vv/zSGDp0qBEbG1tm+ZycHOOuu+4yWrZsaURFRRnJyclG+/btjf/3//6fsWnTJtdykyZNMiQZO3bsKLONXr16Gc2bNy/TvmHDBuOqq64y0tPTjcjISKNRo0bGlVdeaWzYsKFaMXjz7bffGn369DHi4uKMpKQkY+jQocaOHTuM5s2bG7169apw/eLiYmPixIlGo0aNjKioKONPf/qT8cYbb3g87tX5LCp7fMtTst0dO3YYQ4cONZKSkoy4uDgjKyvL+L//+78yyzscDuPZZ5812rdvb0RHRxv16tUz+vTpY3z22Wdlli35jH744QejX79+Rr169YyEhARj8ODBxtatW8ssv3//fuO6665zxdCzZ09j3bp1Hs9NT22HDx82/vKXvxiNGzc2oqOjjbPPPtt4+umnjZUrV3q8Tj755BOjc+fORnR0tCHJ7XhKMoYPH14mxjfffNP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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(7)\n", + "N = 600\n", + "half = N // 2\n", + "x0 = np.concatenate([\n", + " rng.normal(-1.0, 0.2, half),\n", + " rng.normal(+1.0, 0.2, N - half),\n", + "]).tolist()\n", + "\n", + "res = opt.mean_reverting_mckean_vlasov(x0, theta=2.0, sigma=0.15,\n", + " n_steps=400, t_horizon=2.0, seed=11)\n", + "n_t = res['n_steps']\n", + "n_part = res['n_particles']\n", + "paths = np.array(res['paths_flat']).reshape(n_t, n_part)\n", + "\n", + "mid = n_t // 2\n", + "print(f\"Variance t=0 : {paths[0].var():.3f}\")\n", + "print(f\"Variance t=mid : {paths[mid].var():.3f}\")\n", + "print(f\"Variance t=T : {paths[-1].var():.3f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(13, 3.8))\n", + "for ax, idx, label in zip(axes, [0, mid, -1], ['t=0', 't=T/2', 't=T']):\n", + " ax.hist(paths[idx], bins=40, density=True,\n", + " color='C0', edgecolor='white', alpha=0.85)\n", + " ax.set_title(f\"Distribution {label}\")\n", + " ax.set_xlabel('opinion'); ax.set_ylabel('densité')\n", + " ax.set_xlim(-2, 2)\n", + "fig.suptitle(\"Convergence d'une population polarisée vers le consensus\",\n", + " fontsize=12, y=1.02)\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "001ac849", + "metadata": {}, + "source": [ + "**Résultat attendu.** L'histogramme bimodal initial fusionne en un\n", + "pic unique centré à $0$.\n", + "\n", + "**Lecture du graphique.** Trois snapshots montrent la fusion\n", + "progressive des deux modes.\n", + "\n", + "**Conclusion.** L'attraction par la moyenne (mean-field) détruit la\n", + "polarisation initiale en temps fini — illustration du théorème du\n", + "consensus dans les dynamiques de DeGroot continues.\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/15_agent_based.ipynb b/examples/notebooks/15_agent_based.ipynb index 8dd7398..a37c323 100644 --- a/examples/notebooks/15_agent_based.ipynb +++ b/examples/notebooks/15_agent_based.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "96cf5e36", + "id": "993c4ff4", "metadata": {}, "source": [ - "# 15 — Agent-based dynamics" + "# 15 — Agent-based consensus dynamics\n", + "\n", + "Doc page: [agent_based.rst](../../docs/source/algorithms/agent_based.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "748b67d0", + "id": "139a21f8", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:16.689328Z", - "iopub.status.busy": "2026-05-12T10:16:16.688638Z", - "iopub.status.idle": "2026-05-12T10:16:17.486313Z", - "shell.execute_reply": "2026-05-12T10:16:17.481693Z" + "iopub.execute_input": "2026-05-12T14:05:56.273834Z", + "iopub.status.busy": "2026-05-12T14:05:56.273478Z", + "iopub.status.idle": "2026-05-12T14:05:56.865083Z", + "shell.execute_reply": "2026-05-12T14:05:56.863813Z" } }, "outputs": [], @@ -25,20 +27,45 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" + ] + }, + { + "cell_type": "markdown", + "id": "a77569c5", + "metadata": {}, + "source": [ + "## Cellule 1 — Convergence vers le consensus\n", + "\n", + "**Théorème (consensus DeGroot, version $\\alpha$-pondérée).** Pour la\n", + "dynamique discrète\n", + "$$X^i_{k+1} = (1 - \\alpha)\\,X^i_k + \\alpha\\,\\bar X_k + \\sigma\\,\\varepsilon_k^i,$$\n", + "la moyenne $\\bar X_k$ est conservée en espérance et la variance\n", + "décroît à taux $(1 - \\alpha)^2$ par pas (pour $\\sigma = 0$).\n", + "\n", + "**Équation pivot.**\n", + "$$\\mathbb{E}[\\text{Var}(X_k)] = (1 - \\alpha)^{2k}\\,\\text{Var}(X_0).$$\n", + "\n", + "**Démonstration.** Récurrence linéaire : la composante hors moyenne\n", + "est multipliée par $(1-\\alpha)$ à chaque pas. $\\square$\n", + "\n", + "**Ce que la cellule vérifie.** `consensus_dynamics(initial, alpha,\n", + "noise_sigma, n_steps, seed)` reproduit la décroissance géométrique.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "f0a8728c", + "id": "aff03dd6", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:17.493354Z", - "iopub.status.busy": "2026-05-12T10:16:17.492373Z", - "iopub.status.idle": "2026-05-12T10:16:17.580527Z", - "shell.execute_reply": "2026-05-12T10:16:17.578574Z" + "iopub.execute_input": "2026-05-12T14:05:56.868502Z", + "iopub.status.busy": "2026-05-12T14:05:56.868174Z", + "iopub.status.idle": "2026-05-12T14:05:57.662174Z", + "shell.execute_reply": "2026-05-12T14:05:57.660763Z" } }, "outputs": [ @@ -46,110 +73,258 @@ "name": "stdout", "output_type": "stream", "text": [ - "initial mean = 19.5\n", - "final mean = 19.44376167152161\n", - "final std = 0.14305254923151872\n" + "Moyenne initiale : 0.079\n", + "Moyenne finale : 0.079\n", + "Var init / final : 1.230 / 3.174e-19\n" ] + }, + { + "data": { + "image/png": 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l1KlT5rLrLaku6csOHz681PugKJd/Vzt06GB+nZWVpbi4uCihoaFKVlaWuTwvL0+JiYlRAGX69Onm8pL+/JX5vfraV+chIiJCSU9Ptyj/559/FI1Go7z66qtl3ocQdwNZUi1EJZCdnW2x3PVGUlNT+fvvv+nWrRtt2rSxOPbss8+i0+lYunRpqfOeeuopHBwczK91Oh2tWrXixIkT5jIPDw8AVq5ced1lsj/88ANOTk7cf//9pKWlWfwMHDgQvV7Pjh07LM5p1apVqZli3bp1AygVw5EjRzh48OD1E3ETbrfN1NRUvL29S5Xv2bOHtLQ0RowYYc4dwLBhw1AUhaSkJIYOHVqua/To0YN169aV++d638SWKJnxd+X7XsLR0dGiTnlMnTqVdevW8dNPPzFx4kTs7e1JT08v9/llWbVqFR4eHuaZpyVat25N586d+eWXX8q17P2hhx66qfyVhzXyd702Stq5VhteXl5lLskSQgghrMHNzY3s7Gzz65vp3y1evJiCggJeeeWVMlcNXL0Kw8vLi0ceecSi7Fb7tFfy8PAgMTGRzZs3X7cO3Lh/q1KpzLMpTSYTWVlZpKWlERMTg7u7e5kPbyxv/3bBggXodDrefvvtUstqr8zVrfSxr7Zs2TLgcr/tymuFhISYZ0yWUBSFBQsW0KpVK6pXr25xveLiYrp3787ff/9t7ouVvB9XzsgEiIqKYuTIkZw8eZJDhw6VylGrVq0sytq3b4+iKPznP/+xiLFDhw6lcrdw4UIUReHhhx8ulZP+/ftjMplYv379dXNytWnTppXrIZBr164lJyeHp556ymKmoZOTE88+++xNXfNqhw8f5sCBAwwfPhyTyWRxX5GRkdSoUYM1a9bc1jWEqEiypFqISsDd3f2mltKePn0aoMynCzs7O1O9enWLfXNKREZGlirz9va2GDBq374948aN4+uvv2bRokU0btyYtm3bMmTIEIuOwrFjx8jPz6datWrXjPPixYvluj5gEcOHH37Igw8+SExMDKGhobRr144ePXowdOhQ8yDPzbJGm4qilCor2f+wTp06FuW1a9fGxcUFo9FY7uWwgYGBBAYGlqtueZV0msvaZ9BgMFjUKY86deqY7/X+++9n6dKlDBkyBI1GY16Wf7POnz9Pw4YNy3waYIMGDfjrr784deoU9erVu247kZGRZf6O3Y4r83f1cujy5u9670FJO9dqQ1GUSvVEdCGEEJWLXq+3GES5mf5dyYDQ9bYVuVL16tVLPVn6Vvu0V5oxYwaDBg2iY8eO+Pv7065dO7p06cKIESPM91be/i3Ab7/9xsyZM9m7dy+FhYUWxzIyMkpdv7z92xMnThAdHY1Op7vu/dxKH/tqJXmNjo4udezqpcUlA1xbtmzB19f3mm2mpaUREhLC6dOn8fb2LrPPWvI+njp1ymIborJy5OnpWeaxkvIrc3fs2DGAMrc2KnGjnFwtKiqqXPVKfv+u7usD1K1b96auebWS+5oxYwYzZswos461+7ZCWJMMOApRCdSvX59NmzYRFxdHjRo1Kuw6V3fyruWrr77iueeeY9WqVWzdupWvv/6aOXPmMHHiRD766CPg8re+7u7uLFmy5JrtXP2P8PWuf+VgXr9+/YiPj2fNmjVs2rSJTZs2sXDhQl577TV27Nhx3c4QQHFxcamy223T19e3zJl8JXFf/S2+Wq3Gw8ODWrVq3bBjWSI/P99ilsGN+Pr63vA9DQ4OBi4P6l3dwTx//rxFnVsxePBgXF1dmT9//i0POGo0GoxGY5nHSt7LoqKiG7aTk5NDTk5Oua9bnhmiwcHBHD58mPPnz1OzZk2LY+XN35XvQVnOnz9/zTYyMzOJiYm5YZxCCCHEzTp9+jSXLl2ymJ13K/278rqZLzhvRosWLYiLi2P9+vVs3LiRzZs3s2TJEl555RW2bNliHnQrT//2999/Z9CgQTRt2pQ5c+YQGhpq/sKxZBba1crbvy2vinwPrnU9uDwo+/LLL1+z3o36ytdzvRxd69iVuSuJcfny5ddcMXKzA3MV9ft4vS+Kr/6MUnJfEydOpH///mWecyt71wtxp8iAoxCVwNChQ9m0aROff/45M2fOvGH9kn9Qjxw5UupYfn4+p0+fvu2By+joaKKjo5k0aRL5+fn07t2buXPnMnnyZMLDw4mKiiI2NpZGjRqVudT4dnl4eHD//fdz//33A//brPmTTz4xPwnOy8urzG+aS77VvZU2r6VevXps2LCBoqIi7O3tzeUlG29ffc0dO3Zw/vz5m5qR+fPPPzN27Nhy1z9z5oz5KdHX0rx5c+bPn8+OHTvMy3uujBGgWbNm5b7m1YxGI4WFhWRmZt5yG7Vq1SIuLg6DwVAqX4cPH0atVperEzlr1qxSy3uupzwfApo3b87q1avZsWNHqQHHHTt2oNPpyvzG+0r+/v6EhoZy4MAB8vPzLTqOZ8+eJTk5md69e5c67/Tp0xQXF5c560MIIYS4XZ999hmAxUqMm+nflcwQ279/Pw0aNLilGKzVp3V2dqZ///7mQZvVq1fTq1cv3nnnHYsnWt+of/vdd9/h6OjI5s2bLQakcnNzb6uvA5fzdeLECXJzc6/7ZbQ1+tgleY2NjaVJkyYWx0pm1ZXw9fXFw8ODzMxMunbtesO2q1evTmxsLBcvXsTf39/i2OHDh811rCkqKorVq1cTGBhYrhm11lwdUnIvR48epU+fPhbHyvq9LXmoUHk+o1w5y7I8uRfibiN7OApRCTz88MPUq1ePOXPm8PPPP5dZJzExkeeffx643DFo164da9asKfV029mzZ5OTk8N99913S7FkZGSU+vbWycnJPKhSMsvvoYceAi7vDVPWwM3NLmsoYTQay+zQlXSWrpxlWKtWLXbs2GGx/53BYGDu3Lm33Oa1dOzYEYPBwL59+yzKmzVrhqenJz/88AN6vd5c/sEHHwCXl2EkJyffsH2omD0cBw4ciKurK1988YVFfOfOnWPx4sV07NjR4mmFeXl5xMbGloq55EmSV5s3bx4FBQWlliPdjKFDh6LX6/nwww8tyjdv3symTZvo0qVLuZ7OVxF7OI4cORKNRsOHH35o8a30nj172Lx5c6kl+dnZ2cTGxpKWlmbRzoMPPkheXh7z5s2zKJ89e7b5+NVKBoSvftKjEEIIcbu+/fZbZs+eTWhoKE8++aS5/Gb6d0OHDsXBwYE33nijzMGVsmYDXs0afdrU1NRSZVf38crbv9VoNKhUqlJ133jjjXLdz/U88MAD5ObmljmL8Mq2rdHHHjhwIAAzZ860aCMhIYGFCxda1FWr1TzwwAMcOnSI7777rsz2rrzm4MGDgcs5uVJcXByLFi2iZs2atzwAfS0l/aQXXnihzFUv2dnZFlvXuLi4kJmZeUszTK/WvXt3dDodH3/8scVKJIPBwKxZs0rVLxlEvHpPyb///pudO3dalMXExFC/fn2++uqrUgPBcPnL8bJ+v4W4W8gMRyEqAQcHB1asWEHfvn0ZPnw4n376Kb169cLf39+8MfRvv/1msbTyo48+on379nTu3JnHH3+cyMhItm7dyqJFi2jYsCGTJ0++pVi+//575syZw8CBA6levTrOzs7s3buXL7/8koYNG5pjuO+++3jkkUf44osvOHjwIAMHDiQgIICkpCT27t3LypUry7UM9mqXLl0iMDCQfv36ERMTQ2BgIElJSXzxxRfY2dlZbHT99NNPM2LECDp27MhDDz1ETk4O33//fanBqZtp81qGDBnCtGnTWL58OS1atDCXOzg48MorrzBp0iTatGnD+PHjiY2N5ZdffmHEiBH89NNPjBkzhscff9zc+buWitjD0dPTk/fee48JEybQpk0bHnvsMQoKCpg7dy4qlco8MFpi165ddOrUidGjR1vMCKhXrx6tW7emSZMmBAcHk5GRwaZNm1i5ciXh4eFMnz7dop1XX32V1157jW+++YYxY8ZcN8ZJkyaxZMkSnn/+eQ4fPkzr1q05deoUn376Ke7u7qVivJaK2MOxVq1aTJ06lRkzZtCxY0cefPBB0tLSeP/99wkICODNN9+0qL9s2TLGjh3L9OnTLWbNTp06lSVLljB16lTi4+Np2LAhmzdv5ocffuDBBx80b5B+peXLl+Pl5SXfeAshhLhlBw8eZMGCBcDlWXpnzpxh1apV/Pvvv9SuXZulS5fi6upqrn8z/btq1arx0UcfMWHCBOrWrcvYsWOJiIggJSWF1atX8+yzzzJgwIAbxni7fdratWvTokULmjdvbu6jlAycjR49Gih//3bo0KEsWbKEDh06MGbMGBRFYc2aNRw9erTMB+PcjP/85z+sWLGC999/n/3799OrVy/c3Nw4ceIEa9euNc8OtEYfu3v37gwaNIhffvmFzMxM+vXrR0ZGBvPnz6du3brs2rXLYhbgW2+9xfbt2xkzZgy//fYb7dq1Q6fTce7cOTZs2ICTkxMbN24ELg+ILliwgE8++YRz587Ro0cPLly4wLx581AUhc8++8zq+083bdqUN998k//+97/Uq1ePESNGEBwcTEpKCocOHeL333/n6NGj5pU/LVu2ZPny5Tz11FO0bt0ajUZD586d8fPzu+lru7u78+677/LUU0/RrFkzxo4di1arZcGCBWUuB69VqxY9evRg/vz5GI1GmjRpwrFjx/j2229p0KCBxQMsVSoVCxYsoHPnzjRu3JgxY8ZQv359ioqKiI+P57fffmP06NE3XIklhM3c4adiCyFug8FgUObNm6d06tRJ8fb2Vuzs7BRPT0+lXbt2yqxZs5SsrCyL+kePHlWGDRum+Pj4KPb29kpYWJgyefLkUvW++eYbBVA2btxY6pqjR49WrvyrYv/+/cqYMWOUmjVrKi4uLopOp1Oio6OVl156ScnIyCh1/qJFi5SOHTsq7u7uilarVUJCQpRevXop8+bNs6gHKKNHjy51/saNGxVA+eabbxRFUZSCggLlhRdeUFq0aKH4+PgoWq1WCQ4OVoYMGaL8888/pc5///33lYiICMXe3l6pXr268t577ykbNmy4rTavpV+/fkpoaKhiMplKHfv888+VevXqKVqtVnF1dVUeffRRpaioSPnss88UPz8/JSwsrNzXqQiLFy9Wmjdvrjg5OSnu7u5K3759lYMHD5aqV/J+XP1evf7660q7du0Uf39/xc7OTtHpdEpMTIzy8ssvl/l7MXnyZAVQ1q5dW674srOzlSlTpijh4eGKvb294uPjowwfPlw5fvz4Ld2vNZlMJmX+/PlK/fr1FQcHB8Xb21sZPny4cubMmVJ1S/6sTZ8+vdSxlJQU5dFHH1UCAgIUrVar1KxZU5kxY4ZSVFRUqm52drbi6OioTJkypQLuSAghRFVX8u95yY9KpVJcXV2VmjVrKkOHDlUWLlyoGAyGa55f3v6doijKhg0blJ49eyqenp6KVqtVQkNDlVGjRimnTp0y1wkLC1M6dOhwzeuVt097db9RURRlxowZSocOHRQ/Pz/F3t5eCQgIUHr27GnRB7mZ/u1XX32l1KtXT3F0dFR8fX2VkSNHKgkJCWXeQ3n7tyUKCgqUd999V6lfv77i6OiouLq6Kg0aNFBeffXVUm3czHtQFoPBoLzwwgtKcHCwotVqldq1ayuff/658tFHHylAqT5wXl6e8vbbbysNGzZUnJycFJ1Op9SoUUMZNWqUsmbNGou6+fn5yvTp05WoqChFq9UqHh4eSt++fZVdu3aViuNaOZo+fboClNmfutY5q1evVnr37q14e3sr9vb2SlBQkNKpUydl9uzZSn5+vrlebm6uMm7cOMXPz09Rq9UWn4Ou/uxztWv9ri5YsECpX7++otVqlcDAQGXSpEnKkSNHyuz3Xbx4URk+fLji7u6uODs7K+3bt1e2b99+zWsnJCQoTz75pBIZGWnOZ/369ZX//Oc/ypEjR64ZqxC2plIUK8wjFkIIwd69e2nWrBk///wzQ4cOtXU4d7WYmBjc3d3ZvHmzrUOplN555x3eeustTp48Wa6l80IIIYQQ5fHkk0/y6aefcuHChVJ7MIqbEx8fT0RERKmVLULcK2QPRyGEsJImTZowZswYpk+fftv7+FRlFy5c4NChQ+b9CcXNyc7OZubMmbz44osy2CiEEEKIW3LlHuclzp07x/fff0/Dhg1lsFEIcdtkD0chhLCir7/+2tYh3PUCAgIwGo22DqPScnd3L3PzfSGEbbz44ov8+OOPxMfHc/LkyXI9MVcIIWxtxowZbNu2jS5duuDn58fJkyf54osvMBgMvPfee7YOTwhRBcgMRyGEEEIIIW5R37592bJlC2FhYbYORQghyq1t27YAfPjhhzzxxBN8+eWXtGrVio0bN9KtWzcbRyeEqApkD0chhBBCCHFPiYuLY9asWezcuZPDhw8THR1tfgLslWJjY5k4cSLbt2/H1dWVhx56iDfffBOtVluqbnh4OOvXr5cZjkIIIYQQyJJqIYQQQghxjzly5AgrVqygRYsWmEymMvfdzczMpHPnztSsWZNff/2VxMREJk+eTF5eHh9//LENohZCCCGEqDxkwFEIIYQQQtxT+vXrx4ABAwAYM2YMe/bsKVVn/vz56PV6li1bhpeXFwDFxcU88cQTvPjiiwQFBd3RmIUQQgghKhPZw1EIIYQQQtxT1Oobd4FXrVpF165dzYONAMOGDcNkMrF27dqKDE8IIYQQotKTGY4VyGAwcOjQIXx9fbGzk1QLIYQQ4u5UXFxMamoq9evXx9HR0dbh3BViY2MZN26cRZmHhweBgYHExsbeVtt6vR69Xm9+bTAYSEhIICIiQvqMQgghhLhr3UyfUXo0FejQoUM0b97c1mEIIYQQQpTLrl27aNasma3DuCtkZmbi4eFRqtzT05OMjAzz66lTp7Jo0SIuXLhAu3btCA8PZ8eOHddte86cObz22mvWDlkIIYQQ4o4oT59RBhwrkK+vL3D5jQgMDKyQaxiNRtLT0/H29kaj0VTINe41klPrknxan+TUuiSf1ic5ta47kc/k5GSaN29u7ruI8ps5cyYzZ868qXMmT57M+PHjza8TEhJo3bo1O3bsqNA+Y0ZGBl5eXvLn0gokn9YnObUuyaf1SU6tS/JpfXcip8nJybRq1apcfUYZcKxAJUtiAgMDCQ4OrpBrGI1GHBwc8PX1lT+kViI5tS7Jp/VJTq1L8ml9klPrupP5lOW8/+Pp6Ul2dnap8szMTIt9HW+Fm5sbbm5upcqDg4MrtM/o7Owsfy6tRPJpfZJT65J8Wp/k1Lokn9Z3J3Ja0m55+oxV9qExixcvZsCAAQQHB6PT6YiJieHrr79GUZTrnqcoCu+88w6hoaE4OTnRqlUrdu7ceYeiFkIIIYQQd4Po6OhSezVmZ2eTnJxMdHS0jaISQgghhKgcquyA45w5c3B2dmb27Nn8+eef9OrVi0ceeYTXX3/9uue9++67TJ8+nUmTJrF8+XICAwPp3r07p0+fvkORCyGEEEIIW+vVqxfr168nKyvLXLZ48WLUajXdu3e3XWBCCCGEEJVAlV038+eff+Lj42N+3blzZ9LT05kzZw4vv/wyanXpsVaDwcCMGTOYMmUKkyZNAqBdu3ZERUUxa9YsPv300zsWvxBCCCGEqBh5eXmsXLkSgLNnz6LX61myZAkAHTp0wNfXlwkTJjB37lwGDhzIiy++SGJiIs899xwTJkwgKCjIluELIYQQQtz1quyA45WDjSUaNWrEF198QW5uLq6urqWOb9++Hb1ez7Bhw8xlWq2WwYMH8+uvv1ZovEIIIcSdoigKaWlpGAwGjEZjhbRvMBjIz89HpVJZvf17ze3mU6PR4OjoiI+Pj7wf/y8lJYWhQ4dalJW83rhxIx07dsTT05MNGzYwceJEBg4ciKurK+PHj+ett96yRchCCCFu0+32f6R/Y12ST+u7nZxWRH+xyg44lmXr1q1Uq1atzMFGwLxPz9X78tSuXZtz586Rn5+Pk5NThccphBBCVBRFUUhMTOTSpUtotdoK2VBapVLh4OAgnUcrud18FhYWkpOTQ0FBAdWqVZP3BQgPD7/hvt5wuQ+4fv36OxCREEKIimSN/o/0b6xL8ml9t5PTiugv3jMDjlu3buWnn35i9uzZ16yTmZmJg4MDjo6OFuWenp4oikJmZuZ1Bxz1ej16vd78Ojk5Gbj8pKCKmEFS0rbJZKqw9u9FklPrknxan+TUuu61fKalpaHX6/Hz88Pb27tCrqEoCsXFxdjZ2Ukn0gqskc/09HRSUlKwt7cvcxXIvfL7L4QQ4t6UlpbGpUuXbqv/I/0b65J8Wt/t5rSkv5iWloavr+9tx3NPDDieP3+e+++/n06dOvH0009X2HXmzJnDa6+9Vqo8PT0dBweHCrmmyWQiOzsboMx9KcXNk5xal+TT+iSn1nWv5TMrKwt7e3vc3d0pLi6ukGsoimIewJIO5O2zRj7d3d3JzMwkMzOzzJl96enptxWjEEIIcTczGAxotdoK+7JViKrA29ubrKwsDAaDVdqr8gOOWVlZ9OrVC29vb5YuXXrdD5Oenp4UFBRgMBgsZjlmZmaiUqnw9PS87rUmT57M+PHjza+Tk5Np3rw53t7eVhkdLkvJBxAfH58KWRZ3L5KcWpfk0/okp9Z1r+WzZE8XO7uK6wKUDGjJN9bWYa182tvbY2dnV2afpKCg4JbbFUIIIe52RqPxnujnCXG7NBqN1Va+VOkBx/z8fPr27Ut2djY7duzA3d39uvVL9m48fvw4DRs2NJfHxsYSGhp6w/0b3dzccHNzK1Wu0Wgq9C83tVpd4de410hOrUvyaX2SU+u6l/JZMmBV0QOBKpXK/CNun7XyqVKpyvw9vxd+94UQQgghxJ1TZdeOFRcXM2zYMI4dO8bq1aupVq3aDc9p3bo1bm5uLF682FxWVFTEr7/+Su/evSsyXCGEEEIIISpMYbHJ1iEIIYQQ4h5SZQccn3jiCZYvX85LL72EXq9n586d5p+SZUNdunShRo0a5nMcHR154YUXmDVrFh9++CF//fUXI0aMID09nWeffdZWtyKEEEIIIcQty8wtpOv7W/h+V7IMPAohhLih8PBwnnrqKVuHUWmNGTOGevXqlauuSqVi1qxZFRyRbVTZJdVr164FYMqUKaWOnTlzhvDwcIxGY6kN86dNm4aiKMyaNYvU1FRiYmJYs2YNkZGRdyTum1V0/jxFhw5Br162DkUIIYQQQtyF3lt7nOSsPFrvfpnPD7eh6ZBnaRPlb+uwhBBC3KWWLVt2w2dYiGt7+eWXyc3NLVfdHTt2EBYWVsER2UaVHXCMj4+/YZ1NmzaVKlOpVLzwwgu88MIL1g+qAihFRRiPn0Dp2dPWoQghhBBCiLtMfqGR7XFpjNRsoK3mCG0LjzD0mwB+rN+J//apQ4C7440bEUIIcU/Iz8/HycmJRo0a2TqUSq169eo3rFOS65YtW96BiGyjyi6pvldofHxQCgsx6fW2DkUIIYS4o0qWq6xfv54GDRrg5OREhw4diI+PJyMjg2HDhuHm5kb16tX5+eefLc797LPPqFWrFg4ODoSHh/Pmm29iMl1eapqWloaDgwNffPFFqWu2aNGCYcOGmV+fP3+eBx54AB8fH5ycnGjfvj179+61OKdkWdInn3xCWFgY7u7uDBw4kNTUVHOdTZs2oVKpWLduHSNHjsTV1ZWwsDBmzpxZKoYdO3bQuXNndDod7u7ujBw5kpSUlNvKpai6nLQaVj/TntCWg1lhasVyY0t2K9Es/zeZLrM38cWW0xQZZZm1EEJUBt9++y12dnZcvHjRojwjIwOtVstnn30GXO4r9O/fn6CgIHQ6HTExMfzwww8W55T0PVasWMGQIUNwc3Nj6NChQOkl1TfTXnn7Mj169MDb2xs3NzdatGjBunXrzMcLCgp48cUXCQsLw8HBgdq1a7No0aJy5WjFihW0aNECJycnfH19efzxxy1mG5bEuWbNGoYNG4aLiwuhoaHm9j/66CNCQ0Px8vJi/Pjx5i35SvKvUqnYuXMnnTt3xtnZmfDwcL7++muLGK5eUl1y3o4dO+jWrRs6nY7nnnsOKHtJ9ZtvvklAQAAuLi4MHjyYtWvXolKpzJPm4uPjUalULFmyxOK8Z555hpo1a1qUlaevWlFkwLGSK3J2JkvnQnFamq1DEUIIIe64CxcuMGXKFF566SUWLlzIqVOnGDVqFPfffz/169dn6dKlNGnShAceeICzZ88CMHfuXCZMmECPHj34888/GTNmDK+++ipTp04FwMfHh0GDBpXqPB45coRdu3bx8MMPA5CZmUnbtm05cOAAc+fOZenSpeh0Ojp37lxqAPCPP/7gjz/+4JNPPuHDDz9k8+bNTJw4sdT9TJgwgaioKJYtW0a/fv2YNm0aq1evNh/fsWMHHTt2xN3dnZ9//pnPP/+c3bt3M2DAAKvmVVQtjvYaHu7dBv+Rn7EsfLq5PLfQSMaad/n0vZfYeSr1Oi0IIYS4GwwaNAg7OzuLB90CLF26FMA8YHj27FnatGnDl19+yZ9//sl9993Hww8/zHfffVeqzUcffZTq1auzbNmyaz674mbau1FfZtu2bXTs2JGCggLmz5/PkiVLGDBgAOfOnTPXGTZsGJ999hlTpkxh+fLl9OzZkwceeIBVq1ZdNz9Lliyhf//+1K9fn2XLljFz5kx+/fVXc9/tSo8//jj16tVj2bJltGzZkgcffJBp06axZs0a5s+fz+uvv87333/P7NmzS507fPhwunXrxrJly+jUqRMPP/ywxT1ey8iRI+ncuTPLly/nwQcfLLPOxx9/zMsvv8yDDz7I0qVLiYyMLDP+8riZvmqFUESFSUhIUAAlISGhwq6xL/OSMnPJckW/dVuFXeNeU1xcrCQnJyvFxcW2DqVKkHxan+TUuu61fJ45c0Y5c+aMRZnJZFIMBoPVfvLz85VLly4p+fn5N32uyWQq972MHj1aUalUyuHDh81lc+fOVQBl2rRp5rLMzExFo9EoH3zwgVJcXKz4+Pgow4cPt2jrhRdeULRarZKWlqYoiqKsX79eAZSjR4+a60yePFkJCQlRjEajoiiK8sorryju7u7KxYsXzXUMBoMSGhqqPPfcc+aysLAwJTg4WDEYDOay6dOnK/b29ua2Nm7cqAAW55lMJiU8PFwZN26cUlhYqJhMJqV9+/ZK69atLfJ05MgRRaVSKStWrLhuvsp670vciT6LuLY7kf+Sv+uKioqUNYeTldYzNiidn/9MKXjFU1Gmuymvv/iE8p8f9ykX9fkVFkNVcq/923EnSE6tS/Jp6Zr9n6Licv/kFxYpl/IMSn5h0U2dd6Ofm+n7KIqiDBo0SGndurVFWadOnZQ+ffqUWd9kMilFRUXKo48+qrRq1cpcXtL3mDBhQqlzwsLClCeffPKW2iurL/Pwww+by1q3bq3UqVNHKSoqMvdvrvTXX38pgLJmzRqL8vvvv19p1qxZmTGVXCssLEwZMWKERfmqVass+oslcU6dOtVcJysrS9FoNEpISIhSWFhoLr/vvvuUmJgY8+tvvvlGAZSXX37Z4hrt27dXWrZsaX49evRopW7duqXOe+edd0rFDSjvvfeeoiiX/9wGBQUpDz74oEWdBx98UAGUjRs3Kopy+fcZUBYvXmxR7+mnn1bCwsLMOS1vX/VK1+svKsrN9Vmq7B6O9wo/rR16Fxfy0tJwtXUwQgghKqXCwkIcHe+OfdwMBgMODg7lrh8UFETdunXNr6OiogDo2rWruczDwwM/Pz8SEhKIjY0lLS3NPAOgxP3338+MGTPYtWsXvXr1onPnzkRGRvL111/z3nvvUVxczIIFC3jsscdQqy8vEFm7di2dOnXCy8vL/BA6jUZDhw4d2L17t0X7HTp0sLivOnXqUFRUREpKCgEBAeby7t27m/9fpVJRu3ZtEhMTAcjLy2Pbtm3MmjULo9Focc8hISHs3r2b3r17lzt34t6kUqnoXjeAdjV9+Xa1hr/2NCGGk/xk7ETugSQ2HEthUrcoHmoVhp1GFkMJIaquQqOJWv+98ay0inb8zZ442GnKXX/EiBHcf//9nDt3jtDQUJKTk9m8eTPff/+9uU5mZibTp0/n999/JzEx0dxv8Pb2LtVenz59bnjNm2mvrL7M+fPngct9mZ07dzJjxgw0Gk2ph/jC5f6Vl5cXnTt3tjjerVs3JkyYgNFoRKMpna8TJ05w9uxZPvjgA4vzOnTogFqtZs+ePRZ9xm7dupn/393dHT8/P9q3b4+9vb25PCoqqsxnfwwaNMji9X333cezzz57zdhK3CjX58+fJykpqVT7Q4YMKbWEvTxupq9aEWTAsZJzzDNSYHLkYlYC8qxBIYQQ9xoPDw+L11qt9prlBoOBzMxMAPz9Lf/VLHmdkZEBXO4gjx8/ng8//JAZM2awfPlyUlNTGTt2rPmctLQ0du7cadExLXH1ZuHXitNgMNywXlZWFnC5s280Gpk0aRKTJk0qdc2EhIRSZUJci5NWw+P9O3C6VRNeX7aN3NOXP4hcKihm1YpfydyWTYdhT9M0wsfGkQohhLhS37590el0/PTTT0ydOpVffvkFR0dHBg4caK4zZswYtm/fziuvvELdunVxc3Nj3rx5pfa0htJ9orLcTHs36suYTCaCgoKuea20tDQyMjLK7F8BJCcnExwcXOZ5UHowsMTV/aSy4rxW//Fqfn5+Fq/9/f0pKioiLS3tuvm8Ua6Tk5Ov2f6tuJm+akWQAcdKzmQwYp9vx4XCIurl5aF2drZ1SEIIIcRdy8vLC6DUvjUlm6+XHAcYO3Ysr7zyCsuXL+frr7+mU6dOREREWLTVs2dP3njjjVLXuZlZmuXl4eGBSqXixRdftPhQUcLHRwaGxM2L9HXhk0e6s+rwBV7/8yhp+hzesv+KqPxEfvrqID81fJ3ne0Xj42L932khhBA3z8nJiYEDB5oHHH/66Sf69euHTqcDLn+ZuXz5cubMmWOxX3TJw/GuplKprnu9m23vejw8PFCr1SQlJV2zjpeXF76+vqxcubLM41cPxl15HlzeA7FFixaljl9vkPNmpaSkUK1aNfPrixcvYm9vf8O+2I1yHRgYaG7/Slc/JKhkZVJhYaFFecnAbok73Ve9mgw4VnI6dy1uioaL9s4Up6WhDQ21dUhCCCEqmWt9e3urFEWhuLgYOzu7G3asyoqlItWqVQtfX18WL15s8Q34L7/8glarpXnz5uaygIAA+vbty8yZM9m9ezfffvutRVtdu3ZlwYIF1K5d29zJr0g6nY5WrVpx7Ngx3nzzzQq/nrh3qFQqetcPpEOUL1+s2UPCHn+iSGSxsQN7955n7ZELPNejFiNbhKFR39yfaSGEuFtpNWqOv9mz3PUv92+M2Nlpbrp/c6M4btaIESPo06cPa9asYefOnTz//PPmYwUFBZhMJos+1aVLl/jjjz9uKT5rtlfSl/n++++ZPHlymXW6du3KzJkz0Wq1NGjQoNxtR0dHExwczOnTp3nyySdvOrabsWzZMho1amR+XfKQwustpy6P4OBgAgMDWbZsmUU/9eqnUfv5+WFvb8+xY8fMZYWFhWzevNmi3p3uq15NBhwrOa2THT5qNRd1nhSnpsqAoxBCiJumUqms+i2noihoNJpbGnCsaBqNhpdffpmnn34aPz8/evfuzc6dO3n33Xd55plnSu1F9Mgjj9CnTx88PDy47777LI5NnjyZhQsX0qFDB/7zn/8QGhpKamoq//zzD0FBQWUue75d7733Hp07d+b+++9n+PDheHp6cv78edatW8fYsWPp2LGj1a8p7h06Bzue6d+Sky3+YNqS39mb4AmA3lDMzN93c2HbD3Qd+iSNwrxu0JIQQtz9VCrVTe2dqCgKGhSrDzjeim7duuHt7c24cePw8PCgV69e5mPu7u40a9aMd955B19fX+zs7HjnnXdwd3e/pScTW7u9d955h86dO9OtWzceffRRfHx82L9/Pz4+PowbN45u3brRr18/evbsydSpU2nQoAG5ubkcOXKEuLg4vvzyyzLbValUzJkzh5EjR5Kbm0ufPn3Q6XScPXuWFStW8Pbbb5v3+r5d33//PU5OTjRu3JiffvqJLVu2sGLFittuV6PR8Pzzz/Of//wHf39/unXrxtq1a9m4caNFPbVazeDBg/n444+pUaMGPj4+fPzxxyiKYvG7aYu+qkWcFdq6qHCmuH8IStpDmoML+alptg5HCCGEuOtNnDiRefPmsXLlSvr27ctXX33Fq6++ysyZM0vV7dGjB87OzowYMaLUg3W8vb3ZuXMnMTExTJs2je7duzNp0iTi4+PLXMpjDa1bt2br1q3k5OQwduxYevfuzeuvv46zszM1atSokGuKe09Nf1feeWIUHw6Pwc/18pcRk+0W81zOLHK+6s+LSw+QmVt4g1aEEEJUFHt7e4YMGUJSUhL33XdfqRUiixYtokaNGowePZqnn36aIUOG8NBDD93y9azZXtu2bdm0aZN5v+z77ruPZcuWERYWZq6zZMkSJkyYwKeffkqvXr14+OGHWbt2LR06dLhu20OHDmXlypXExsYyYsQI+vfvz+zZswkPD7/lfRDL8uOPP7JmzRoGDhzIX3/9xeeff261B/dNnDiR1157je+//55BgwZx8uTJMgdZ586dS8eOHXn66ad57LHH6NmzZ6ktd2zRV72S6v8fwy0qwPnz5wkJCSEhIaHMTU2tIe+fjRz5eTm/dB7OWP1p6oy8v0Kucy8xGo2kpqbi6+t721OiheSzIkhOretey2d8fDwA4eHhFXaN21lSfbf566+/6NKlC3v27KFJkyY2icFa+bzee38n+izi2u5E/m/177pLhiI+WHec1rsn0kW9jw+LB/F+8VA8nO2Z1jOa+5uGoL4Hl1nfa/923AmSU+uSfFqyRv+nKvVv7gaVMZ/ffvstY8eOJTU19Y7unX3gwAEaNWrExo0br7uaxRo5vdGflZvps8gMx0rOLiwKXWE2zoZiLuQZUArl22YhhBDidiUlJbFlyxaee+452rRpY7PBRiFszdXRnpf71aPa47/xrserfFo8AICsvCJe+PUQL334GYcSsmwbpBBCCCHuOjLgWMmpffxxclRwy8vnotqB4vR0W4ckhBBCVHqff/45nTp1ArjmXkFC3EuiA92Z+p9nmDGsGT4ul5fudVQfYEb2NPRf9ObtJdvJziuycZRCCCGEuFvIgGMlp1KpsPfzwutSFhd17hSnyT6OQgghxO169dVXMRqN7N27l+joaFuHI8RdQaVSMbhxMBumdGR0qzB6aHYDoMPAF3vS6Tx7E4v3JGAyyY5NQgghqp4xY8agKModXU4NEBMTg6Iole7hgDLgWAWoA4IJ0F8gxdGNgtRUW4cjhBBCCCGqMHcne14bUI/6j33Le24v8FLROBTUpOcW8tySf3ni0984lpRt6zCFEEIIYUMy4FgVVIvEP/MshWp7UtIzbR2NEEIIIYS4B9QL9mDKM9MYPXgAXrrLy6w90TMj9SlS5/flgyXr0RtkmbUQQghxL5IBx6qgWnVci7JxNBRzQZ+DYjTaOiIhhBB3KbVajclksnUYwgZMJhNqtXT9hHWp1SqGNQvhrykdGNUilKF2W/BU5dBUdZxf9iTSZfZmftufiKLIMmshhBDiXmJn6wDE7VO5e+Kk0+CWl88F7DFmZmJ3h/cUEEIIUTnY29uTn58vg0/3GJPJRFFREU5OTrYORVRRHs5a3hpUn4NN3mbWL9XIzEwnCR+4VMAzPx9g6T8neHlQU6L8XW0dqhBCCCHuAPmkUQWoVCqcA33xzskm2UkeHCOEEOLa3NzcMJlMpKWlyYyje4SiKKSlpWEymXBzc7N1OKKKaxjqyaTJL1Gn/zO4O9n/f6nC+MRXOP9Jfz5Zuo6cgmKbxiiEEEKIiiczHCu5wvw8cjLS8Q8Ox+/YBc4E1qcwJQ1HeaCmEEKIMuh0OlxdXUlPT0ev12NnVzFdAZlBaV23k8/i4mKKiopwdXVFp9NZOTIhStOoVYxqEUbPugHMXH2chH2r6KD5F4A/9v5Fl+Mq/tunDn0bBKJSqWwcrRBCCCEqgnwSqOSyLl4g4eBeNKE1CchIwKCxJy093dZhCSGEuIsFBQXh7++PVqutkPYVRaGgoEBmUFrJ7eZTq9Xi7+9PUFCQlSMT4vq8XRx4d0gDpjw6ntnOk1hhbM5vpjZc1Bcw8cf9PPjlP8Sl5Ng6TCGEEEJUAJnhWMm5evlQZMjH5B+GR1E22oJikvMuEaEo8o2xEEKIMqnVary8vPDy8qqQ9o1GI6mpqfj6+qLRaCrkGvcSyaeo7JqEexPz7HQW7DyL69rjXDJcXlJdM34Bpz8+xrrGLzG6d3uctfLRRAghhKgqZIZjJefo6orGXktuYRE6N3vccvNJNqox6fW2Dk0IIYQQQgjg8jLr0a3D+WtKRwY3roYP2Uy2W0J39R589rxP19mbWX04WWZGCyHEPSIhIYGePXsSHR1N/fr1efjhhykoKDAfP3PmDHXr1rVhhOJ2yYBjJadSqXD28CQ3Mx3nID+88vRc0LrIg2OEEEIIIcRdx9fVgTnDYvjkkW584TyesyY/ZhYPJynbwIQF+xjzzW7OpOXaOkwhhBAVzM7Ojtdff53Y2FgOHjxIXl4eH374ofn43r17adq0qQ0jFLdLBhyrAGcPT3Iy0rEPicBff4GLzm4UpciAoxBCCCGEuDu1qO7LxGdfZ33XleRpvc3lySf3cfSj+/j8zy0Yiow2jFAIIe5+zZs355NPPgEgLi6OCRMmEBMTg52dHfXq1bNxdP/zyCOP8Mgjj1iUBQYG0rx5c+Dydj9Nmzbl3Llz5uNXDjh+9913tGvXjjNnzpRqu1+/ftSsWfOa1547dy4qlYpTp05Z41YAy7yXGDRoEPXr1y9V96OPPkKtVvPrr7/esN2y8lSZyYBjFeDs4UlOZgbq4Br4Z54nX60lXWY4CiGEEEKIu5i9Rs3D7Wvy17Md6d8wCFB4w/4b+qh30Gn3BLrO3sT6oxdtHaYQQtyVli1bRnx8POPGjQPgyJEjrFixgho1alCnTh0bR2dp2rRpfP/995w8ebLM4/n5+Xz99df07dvXXLZ3717q1avHww8/zN9//826deuIiIgode7IkSOJi4tj9+7dZbb9448/0rJlS6pXr26Ve7k67yUmTZrE4cOHWb9+vbls8+bNTJkyhRdeeIHBgwffsO0b5amykQHHKsDZ3RPFZKLIwx+vIj12BUVcyL5k67CEEEIIIYS4IX83Rz4a0YhFDzdnh1NHshQds4qHcj7LwPjv9zD+u90kZOTZOkwhhLirfPDBB4wYMQInJyfg8ky/hIQElixZQuPGjW0cnaUaNWrQpk2bUrMC4fLD8UaOHEnXrl3p2bOnuXzv3r08+eSTtGrVii+//BJHR8cy2x4wYAAuLi4sWrSo1LH4+Hh27NjByJEjbyt+RVHM+0tenfcS7du3p3Hjxrz//vsAnD9/nmHDhtGtWzfeeOONcl3nenmqjGTAsQrQ2Nvj5OZGboEBFw8tbnkGkgzFmPKkYyaEEEIIUZESEhLo2rUrtWrVKnPTe1F+rWv68cRzM/i13Qq2aFqay7ccS2TdB+P5auV2WWYthBBcfqDK33//zZAhQ8xlarVthnf0ej0TJ07E398fd3d3xo4di8lkYvTo0UyYMMFcb+jQoSxcuJDi4mJzmaIojBs3DldXVz744ANzeXx8PAEBAURERFBUVHTd6zs7OzNgwAB++eUXTCaTxbEff/wRjUbD/fffby7bsWMH/fv3JygoCJ1OR0xMDD/88IPFeWPGjKFevXqsXLmShg0b4uDgwJ9//llm3q80adIkVq1axcGDBxk8eDBubm4sWrTopt6bsvJUWVXpAcdb3cMgPDwclUpV6sdgMFRwxLfOxcubSxlp6Kr545V3iWR7Z3lwjBBCCCFEBbOzs+Ott97i+PHjZW56L26O1k7NuK6N2DClI73rBwAwXrOCceoVDP3nPu5/fzmbjqfYOEohhLCtDRs2YGdnZ94D0VZycnJo164dGzZsYN68ebz77rt89913zJs3j6VLl/Liiy+a67Zu3Zq0tDQOHDhgLps4cSK5ubl88803qFQqc3nJ/o0//fQTX3zxBStXrrxuHCNHjiQpKYlNmzZZlC9atIhu3brh5+dnLjt79ixt2rThyy+/5M8//+S+++7j4Ycf5rvvvrM4NykpiaeffppJkyaxevVqYmJibpj3+++/n8DAQDp16sTRo0dZtmwZHh4eN8iipbLyVFlV6QHH29nDYMiQIezYscPix8HBoYIivX2uXj7kpKddfnDMpYukOLlTlCoDjkIIIYS495T3S+fY2Fi6deuGTqcjICCAqVOnUlhYeFPXCgwMpEWLFkDZm96LWxPk4cSno5rw3bjm2Ll4o1ecWG5swcEMO8Z8s5vHfthDYla+rcMUQgib2L17N1FRUTYfo3j33XeJi4tjzZo1DB48mAkTJtCgQQNeeuklRo0aRWhoqLlu3bp10Wg0/PPPPwBs27aNzz//nNjYWJo0aUJMTAyTJk0CLg84NmrUCFdXV37//XeeeeYZ9u/ff804unfvjq+vLz/++KO57PDhwxw+fLjUcurhw4czbdo0evfuTadOnXjhhRcYO3Ysn332mUW9zMxMFi5cyJgxY+jcuTM1atS4Yd7t7e3p06cPmZmZfPLJJ7f04J6r81SZ2dk6gIrUr18/BgwYAFyeErtnz55yn+vv70/Lli1vXPEu4eLljSE3B1NUDfwz/yVH05DstHR0tg5MCCGEEOIOK/nSuUWLFphMplJLrODyB4nOnTtTs2ZNfv31VxITE5k8eTJ5eXl8/PHHt3Tdkk3vZ8+efbu3IP5fhyhfWj73FgvXD+CzbefN5WuOXMT95FKi2wzkgS7N0NpV6XkUQoiKlP7/Ty92DQDtFZ+gM06DooDOFxzd/leedRZMRnD2AifP/5Vnn4figstlzl7/K9cnQVE+OLiBi69VQk5OTsbX9/bbys7OJjk5+Yb1IiMj0Wq1pcq//vprRo8eTUhIiLnM3d2dvLw8i9mNcHlFgIeHh/l6bdq0obCwEDs7O4vZjQBvv/22+f9DQkI4ceLEdeOzs7Nj6NCh/Pjjj3zyySdotVp+/PFHnJ2dGTRokEXdzMxMpk+fzu+//05iYiJG4+WtOry9vS3qeXt7m79QLHGjvP/99998++23ACQmJl435uvdy5V5qsyq9L/MttrDwBac3NzR2NljcPHCpygLVWExyZlZtg5LCCGEEOKOK8/G+fPnz0ev17Ns2TJ69OjBuHHjmDlzJvPnzycpKclcr3nz5vj4+JT6ubrda216L26fg52GcT1bsWRSH7rV8Qegvuo076jmMWT7QP4z5yu2npSVPUKIWzS38eWf+K2W5V90vlx+/KrlvD8Mulx+4EfL8l9GXy7f+all+Z//uVy++R2rhWwwGKwyu3Hx4sXUrl37hj+nT58udW5cXBxJSUml/s0rKiriwQcfJCwsrNQ5Dg4O5OdXzOz0kSNHkpmZyerVq4HL+zf2798fFxcXi3pjxozhxx9/5Nlnn2Xt2rXs3r2bcePGldpCz9/fv9Q1rpf3hIQEhgwZQs+ePXnkkUf45JNPytx/MjY2lubNmxMVFUXHjh0t+hwlKjJPd9K9MyJ3kxYuXIiDgwMuLi707t2bQ4cO2Tqk61KpVLh6+5Cbm4uLlxNuuQaScgtQbnJZkBBCCCFEZVeeL51XrVpF165d8fL63yyUYcOGYTKZWLt2rbls165dpKWllfrZt2+fuY6iKIwdO7bUpvfCukK8nPnioaZ8PaYpjV0zycOBDMWVvzJ8eOCrf3hy0T6Ssyv/BzQhhLgRLy8vsrKybrud8ePHoyjKDX+io6NLnVsyCHnlsukTJ06wa9cuGjVqVOb1srKySs0ktJbWrVsTHh7Ojz/+yM6dOzlz5kyp5dQGg4Hly5fz3//+l4kTJ9K5c2eaNm1a5kqIq2ddwrXzbjAYGDRoEJ6enixYsIDJkyeTnJzMzz//XKruY489xrRp0zhx4gSDBg3iueeeK1WnIvN0J1XpJdW3qn///rRo0YLQ0FBOnz7NW2+9Rdu2bdm/fz+RkZHXPE+v16PX682vS6bAGo1G8zRdazMajZhMJoxGI84enmSnpRAS5Itn7iUSdY4UpKRgHxhYIdeuqq7Mqbh9kk/rk5xal+TT+iSn1nUn8nkvvlexsbGMGzfOoszDw4PAwEBiY2Nvqq0nnniC3NxcfvnllzI/oFzN1n3Gyq5DTR9aTH6ehes6suqfQxRweZnfin+TuRi7k75tmzG8Ywz2moqbW1GV8nm3kJxal+TTkqIoqFQqFEUpffCpvZf/6xpweQl1ifF/gWK6vAz6ygG4B5aBqRicvS3rD/32f0uqryzv+8HlJdWObpbltyEqKoqNGzeWfT9XuNHx21Hy711qaqr5Os8//7z5d+/qa6emppKXl0dUVFSpAU1rGT58OB999BFOTk54e3vTo0cPi/YNBgMmkwl7e3tz+aVLl/jjjz+A0vm6+vW18v7II49w8uRJdu7ciaurK7Vq1aJnz568//77jBo1ylzv4sWLHDt2jEGDBpmf0P3SSy9hMpks8nllnm6GtXKqKMo1/+64mb9TZMCxDB999JH5/9u1a0f37t2Jjo5m1qxZfPrpp9c8b86cObz22mulytPT0ytsM1eTyUR2djYAhahJOX8OH3dvfBKTOOxRg7S4OOzs5G2+GVfm9F5all9RJJ/WJzm1Lsmn9UlOretO5DM9Pb1C2r2bZWZmlvnkSE9PTzIyMsrdzrZt25g/fz516tShSZMmAHTq1In333//mufYus9YVf5c9m8WReOaYczZdI7t8XocKeAD1WxctuXzxp6JtO42hCYhrhVy7aqYT1uTnFqX5NNSyVLY4uLi0gfdr1j6e+VxtxCLcvMgjEvQ/75curK+LqDsdpz9yi6/DS1btuSNN94gPj6e4OBgAPLy8li1ahUA8fHx6PV68wy79u3bW2XPxys1bNgQJycnXnzxRQwGA+vWrWPXrl00a9aM3377jY4dO1K7dm1z/ZKHoLRs2ZLiK/NJ2bMJb8WwYcN45513+Pbbb3nkkUdQqVQW77lOp6Np06a8++67eHl5YWdnx3vvvYe7uzspKSnmuiUDplf/vpSV9/fff5+FCxeydOlSatSoYT5n4sSJ9O7dm40bN9KuXTvg8hOyg4ODzfft6OiIs7MzSUlJ5iXcV+fpZlgjpyaTiYKCAlJTU8s8fjN9RhmJKofAwEDatm3L3r17r1tv8uTJjB8/3vw6OTmZ5s2b4+3tbfU/3CVKfpl8fHzw9vQg5dghHMLDCNy1mt1OMaiLiyvs2lXVlTnVaDQ2jqbyk3xan+TUuiSf1ic5ta47kc+CgoIKafde0KZNm5ueSWDrPmNV+nPp6wvf16jG+mMp/PHnUrwKLuFAIfsuubNw6QkGNAzk+Z618HNztOp1q2o+bUlyal2ST0v5+fmoVKrbmoxT8nd9WQ85udO6dOmCt7c369at45FHHgEgIyODESNGWNQref3XX38RaOWVj76+vixYsICpU6dy3333UbNmTVatWsX58+cZNWoUH374IV9++aW5/tq1a2nXrh3VqlUDKiafMTExNGjQgH///ZdRo0aV+X4vWrSICRMm8PDDD+Pt7c3EiRPJyclh9uzZ5vpqtbrM35er875+/XpefPFFpk+fzsCBAy3q9uzZk3r16jF37lw6deoEgEajKbNdOzs7c9nVeboZ1sipWq3G0dHxmv2Rm+kzyoCjFbm5ueHm5laqXKPRVOhf8mq1+vI1tFp07u4U6LzwL9ZDkZGULD1B8g/MTTPnVHJnFZJP65OcWpfk0/okp9ZV0fm8F98nT09P8+yfK2VmZlrs61gRbN5nrILvd8/6QXSo9QTfr27A6V2rOKZcnrH0+8Fk9saeZkLHGgxv3wA7Ky6zrsr5tBXJqXVJPv+nZPDldge2VCqV+ceWHBwcGD16ND/99BOPPvooABERERW6hLosgwcPZvDgwRZl9evXL7VSoLi4mKVLl/LOO+9Y5K4i8nnw4MHrHq9ZsyYbNmwoVX7lyoOSJ01f7eq8d+vW7bqzEK9+FkhISAgJCQnA5XvPyckhLy8PPz8/82zMsvJ0M6yRU5VKdc2/N27m7xOZW10OSUlJbN26lWbNmtk6lBty8fYh91I2bt7OuOYaSLqUhyL7dgghhBBCWIiOji61V2N2djbJycllbo4v7n5OWg2P9e/AY//5L+1q+pjLnzF9R69NfZk9+012x5d/ubwQQtzNnn32Wf75558bDrDdDRYtWoSLi0uph7hURreTd39/f6Kjo/n1118B+Oqrr+jfv79524OqlCeo4jMc8/LyWLny8iPsz549i16vZ8mSJQB06NABX19funTpwtmzZ4mLiwMuPzp9+fLl9O7dm6CgIE6fPs2MGTPQaDRMmTLFZvdSXq5ePiSdiMUvxB+vrFwSdVqMWVnYVYEnHAkhhBBCWEuvXr14++23ycrKMu/luHjxYtRqNd27d7dtcOK2RPq68P245qw6fIFP/9xKn4KdOKkKKcq+wND5O7ivcTDP94rG17Vi9ssUQog7ITAwkG+//faae+3dTdRqNV9//XWVeL7E7eZ9/vz5jB49mueff56goCAWLlxoPlaV8gRVfMAxJSWFoUOHWpSVvN64cSMdO3bEaDRaTIGNiIggKSmJZ555xtwB7dy5M6+//joRERF3NP5b4ertgyFHjyowDL/zFzjpVZ3i1FQZcBRCCCHEPaM8XzpPmDCBuXPnMnDgQF588UUSExN57rnnmDBhAkFBQbYMX1iBSqWid/1AOkQN4puVXjjv+5xvjT0AWLrvPGuPJvNil2CGtamLRm3bpZFCCHGrrh7vuFs98MADtg7Bqm4n73Xq1GH37t1lHqtqearSA47h4eE33MNg06ZNFq9btmzJxo0bKzAqK9MnYX/hMPhe/ibe2c0djZ09Bnc/ArIOsKdGHXJS0nCUlUFCCCGEuEeU50tnT09PNmzYwMSJExk4cCCurq6MHz+et956yxYhiwqic7DjiUFdiGvTnGa/HWHH6ctP1+xY+Ddd13/PBzsfptOwp2kcVrH7dgohhBD3mio94HhPKMxFm7QL6nUFNKjUaly8vMm3d8bfpMdUaORCZi4+N2xICCGEEKJqKM+XzgC1a9dm/fr1dyAiYWs1/FxZ9EgL/vw3mbf/PMSzhb/gq9LTXL+OwfOaMrxZKFN7RuOl09o6VCGEEKJKkIfGVHYeIWAqAn2SucjFy5scfRbu3s645BVwPvPSHX9alRBCCCGEEHcTlUpF/4ZBrHu2M8sbfMw6UxNeLR4NqPhpdwKdZ29i0c54TCbpNwshhBC3SwYcKzs7R0w6f8g6Zy5y9fYlJyMdXbA/nnm5JBk1mC5dsmGQQgghhBBC3B1cHe15ckgPQp74De+w+uZyx7wLtFjZkznvz+BQQpbtAhRCCCGqABlwrOTyLxWSVhSKKiveXObq5Y2xuIhiv2r45aZyQetC0YULtgtSCCGEEEKIu0x0gBs/P9aSOcMa4uOi5QX7H6muTuYR/Vwe/HQN//3tENl5RbYOUwghhKiUZMCxksvPKSIxxQclKxGKCwGwd3TE0cUVg6sPAfqLZDo4kXv+vI0jFUIIIYQQ4u6iUqkY3DiYDVM6cq7+RLaa6vFe8f1kKS4s2HmOTrM38cueBFlmLUQlp9FoMBqNtg5DiLue0WhEo9FYpS0ZcKzk3LwdKda4kGtwgOwEc7mrlw95ansCTZcwGhWSEpNlH0chhBBCCCHK4O5kz8RhvfF8bAXHgu4zl2fmGnD+/WFmfziTI4lZtgtQCHFbHB0dKSwsJD093dahCHHXSk9Pp7CwEEdHR6u0J0+pruTstBqc3LTolWDcss6Cd3UAXL19SD51An9fHe55BcQrJmpnZWHn6WnjiIUQQgghhLg71a3mweLH27Jk33neWRVLF8Na+mr+oW/2Pwz5REu9lt2Z3D0Knb3M2xCiMvHx8aGgoICUlBSysrJueQaXyWRCrZY//9Yi+bS+W82p0WiksLAQV1dXfHx8rBKLvLOVnDG7AJ2ikF3sD5nx5nIXbx/y9dk4BPnir88m3sWbonPnrt2QEEIIIYQQArVaxbCmIfw1pQPV6rVjp6k264xN2GOK4tvt8XSetZnfDiTJ6iEhKhGVSkW1atXw8fFBq9XeUhuKolBQUCB/9q1E8ml9t5NTrVaLj48P1apVQ6VSWSUemeFYySmFJpxzjaSr3TBmp6IpzAOtMzp3D9QaO4q8/Ik4kcCmGm3RJ5zHqWFDW4cshBBCCCHEXc/DWcszI/rzb0I7Pli2G5IuP0AmLaeA/b/O5oRXIAOGP0qdarKCSIjKQKVS4evre8vnG41GUlNT8fX1tdoed/cyyaf13W05lRmOlZzG0wEHB0DlhN7gCllnAVCp1bh4emFw8SJYnwBGNWdS0lFko1whhBBCCCHKrUGIJwuf6sbbg+rj7mRPiOoiL9st4IVLb/PjvNd5a8VRcgqKbR2mEEIIcVeRAcdK7qihgN/dNOi0GrKVYMg8az7m6u1LrqLB3bEQb30ep1Vaii9csGG0QgghhBBCVD4atYqRLULZ+GxH+tfz46ASSZrixu/FLfni7zN0mbWRPw/KMmshhBCihAw4VnJ+WjtSHVUoikJ2ke9V+zh6k5OZgS4ihGqZFzjj5kfBuYRrNyaEEEIIIYS4Ji+dludG9UU9ZiWTXd5FjwsAFy8V8vlPS5n18UfEpeTYOEohhBDC9mTAsZLzsbdD52xHur0JQ7ELhmw95GcBl59UbSwqRImIJiLlOFn2Oi4kJtk2YCGEEEIIISq5RmGezBjViel9a+PqaIcaE+/Yf8Fz6a+wZe4jvLs6lrxCWWYthBDi3iUDjpWcSqUiTGdPsrMGe7Uj+kJv8z6OWkcnHJxdKPCPwDf/Ak75RZzOysFkMNg4aiGEEEIIISo3jVrFQ63C+GtKRx5ooKMQewDWG2OYt+kUXWdvZvXhZFlmLYQQ4p4kA45VQJjWjvPOahzsVGSbqlksq3b18SGvuAi3ADf8s7I55eBG0fnztgtWCCGEEEKIKsTX1YHXR3amaMwante9wXZTPQCSsg1MXrCdmfM+40xaro2jFEIIIe4sGXCsAqppNeBsh16lkF3giZIRD///Taqrlw+X0tJwqlWHsIx4zrt6kyv7OAohhBBCCGFVzSN9eGPyU/y3T21cHOwAmGi3jGkp0zj80RBmr4klv9Bo4yiFEEKIO0MGHKsAe5WKUA8nUp3AaHIhJ7sYclOByw+OydNno4luTHjqSYpMdpxNviBLO4QQQgghhLAye42a8e0i2TClAwMa+NNcHQtAksmTuRtP0e39zaw/etHGUQohhBAVTwYcq4hInSPnXTQ4aR3QF/tB5uV9HHUenqjVavJdvfBwKsZTn0ucQcGUnW3jiIUQQgghhKia/N0c+XBkUwoeXMEsx6f4qHgwAOcz8xn//R5e/nwxCRl5No5SCCGEqDgy4FhFRDo5oHdUU6RRyDYGmvdxVKs1uPsHkHUhGdca4VTLSuGMsxeFCbKsWgghhBBCiIrUuqY/Tz/7BhN7NcJZqwGglfoIbySN5+AH9zFv9X4MRbLMWgghRNUjA45VgGIy4WGvwcfNkVSNwiWDG8Vp58B0ufPiVS2EjMQEtHUaEZFyglRHV9JlH0chhBBCCCEqnNZOzYQO1Vk/uQO96wcwQvMXAJEkMmtTAj0+2MLG4yk2jlIIIYSwLhlwrOQKjh+ncOUqAKp7OHPRRY1K7YL+kh3okwDwCqxGocFAYWB1Agyp2BuKiEvJQDHKt6lCCCGEEELcCUEeTnw6qgkeo77hI+0j/LdoLEY0nE3PY+w3u5n07UYSs/JtHaYQQghhFTLgWMlpfH0xpaZizM4m0tmBC85q7LV2ZJsCIevyPo72jo64+fiSlZWFZ7AHfll6TuFA8UXZsFoIIYQQQog7qX10II9NfZcu3fvhaH/545gbubx4ZjS75wzj6zW7KCw22ThKIYQQ4vbIgGMlZ+flhcrDncLTpwl21KLVaclSKWQX+qJkxJvreVULISMpAafa9QjLOEe8zgfDufO2C1wIIYQQQoh7lIOdhic71WDdpA50r+PPg5p1+Kqy6aXawbebDtPzwy1sPZlm6zCFEEKIWyYDjpWcYjSi9vWl8NQpNCoVkV7OpDmBociFgrSLUFwIgFe1YPIv6SkOr0NE+mnyVRoSkpJsHL0QQgghhBD3rhAvZz5/qCnNRr3Kx9pxzCkewjnFn9OpuTzw1T9MXLib5GxZZi2EEKLykQHHSq7g2DGMp05TeOECxpwcIl0cSXKzw85OR3aOI2RffjiMo84FnYcnekWDj4sJV30+cVk5mAoKbHwHQgghhBBC3Ns61qnG+Odm4dRpMlq7/31E6xP7AtvnjOD79XsoMsoyayGEEJWHDDhWctqISFBMqNRqCk+dItLJgXwnDQX2GrJN1SAz3lzXq1oImUnncYuKIEifRpydG0XnZVm1EEIIIYQQtuZor+GZrlGsn9SBztF+tFEfoqdmN/epNnJo48/0/vBvdpxKt3WYQgghRLnIgGMlp9Y5ow4MRGVvT0HcKXR2GgLdnUi1V8gu8MKUHm+u6xUUTE5mOtSoR0TqaS44uZN9LsF2wQshhBBCCCEshHo789XopowZMZJP7R5kq7EuS4ztOZmSw4gvdvLMT/tJ0RtsHaYQQghxXVV6wDEuLo4JEyYQExODnZ0d9erVK9d5iqLwzjvvEBoaipOTE61atWLnzp0VHO2t00REoBQUUJiUhCk3lxoezqS6qjEadeSkZkFhLgDO7h446lzIcfUjtDAFCoo5nZxi2+CFEEIIIYQQFlQqFd3qhzJ26of80/Zr7DV25mOOhxawafYoFv61n2JZZi2EEOIuVaUHHI8cOcKKFSuoUaMGderUKfd57777LtOnT2fSpEksX76cwMBAunfvzunTpysw2lunCQsDtRqVYqLg9GkidQ6k6+xQOejQG9wg6xxwuePiVS2EzLQUvMJ88NFf4kS+gjE728Z3IIQQQgghhLiak1bDlB7RrH6mHe1q+uCFnuftfmSYaj3av16h79yt7InPsHWYQgghRClVesCxX79+JCQksGTJEho3blyucwwGAzNmzGDKlClMmjSJLl268NNPP+Hl5cWsWbMqOOJbo3JwQBsaCho7CuJOEaC1R+eiJcMOso2BV+3jGIw+NQVtVG3CMs5zxsmTgrPnbBe8EEIIIYQQ4roifV34flxzZgxvzU92A0hXXJlTPJTYC5cYMn8HU345SFqOPAxSCCHE3aNKDziq1Td/e9u3b0ev1zNs2DBzmVarZfDgwaxcudKa4VmVQ40aKIUFFCaeR8nPp7qXjjQnuJTvTlHqWXM9Vy8f7LRacn3DiMw6S5bangvnE20YuRBCCCGEEOJGVCoVPWLCeHDqXL5ptpxUtY/52L79u1kz6yF+3vIvRpNiwyiFEEKIy6r0gOOtiI2NBSA6OtqivHbt2pw7d478/HxbhHVNh+MvsHrvSewjIlBpHaCwiIIzZ4h0deSiux2oXdCnGSA/EwCVWo1XtWCy8g0EuqnQ5eRzPDULxST7vwghhBBCCHG30znY8WzfGFY/045Wkd6Awmt23zKK1dRf/wADPv6bfecybR2mEEKIe5zdjavcWzIzM3FwcMDR0dGi3NPTE0VRyMzMxMnJqcxz9Xo9er3e/Do5ORkAo9GI0WiskHhTs3P590Q8vVs2wD40hMLTpzGcPElIVBRGJw05Dg5kFXjjcfEYhLQAwN0/iJP/bCWgZhhBSRnEeTpRkJyMfUBAhcRY2RiNRkwmU4W9Z/cayaf1SU6tS/JpfZJT67oT+ZT3SojKp4afK4seacGKAwkc/7M2LYyxzC/uy+GkSwz+dDvDm4UwtWc0XjqtrUMVQghxD5IBRyuaM2cOr732Wqny9PR0HBwcKuSa3s525BUprNl1iM7ePhTs209u3jGcGjXCQ2MkSSnEKc8H75M7MDhEgEqFSaUmNy+fi+4+hKTE8pdvc5IOHcJZo6mQGCsbk8lE9v8/SOdWluULS5JP65OcWpfk0/okp9Z1J/KZnp5eIe0KISqWSqWib6NQcurM4/MVI1ix53+rsRbvjifw8DwCu0xkSOvaqNUqG0YqhBDiXiMDjlfx9PSkoKAAg8FgMcsxMzMTlUqFp6fnNc+dPHky48ePN79OTk6mefPmeHt74+vrW0HxFuPl7cPJpHSGd+xO5v59mHJyccvJoWFICLtTi1ElBWJfdAhXJyO4BgKgr14DTAo1lJ38ZdKQkX2JsAqKsbIpmeXh4+ODRgZhb5vk0/okp9Yl+bQ+yal13Yl8FhTIwyaEqMxcHOyYOLgz3Vtf4uXfD7PrTAZjNGv4j7KIi+tW8sC++Tw/uBUNgj1sHaoQQoh7hAw4XqVk78bjx4/TsGFDc3lsbCyhoaHXXE4N4ObmhpubW6lyjUZToR+4mkaFsHn3Qc5m5OBXvTqGY8coOhNPjZq12OiqxahVyFSqE5xyBDyCAfAJDuX0/j1ERPjim5dLXHERMRkZ2MmgI3B5BklFv2/3Esmn9UlOrUvyaX2SU+uq6HzK+yRE1VArwJWfH23JbwcSSfpzOYVGDdtM9dieZGLAJ9sY2TyU53rUwsNZllkLIYSoWLLO6SqtW7fGzc2NxYsXm8uKior49ddf6d27tw0ju7aYMC9UDs5sPhCHQ82aKEVFFMSfwVMx4umqJdtRRaohBOXiUTAWA+ARWA1jcRGm0EjC089zwt2P3KPHbHwnQgghhBCVS3h4OHXq1CEmJoaYmBjWr19v65DEPU6lUjGoUTAPTv2Iz+ou5J3iUQAoCiz85xyvzprNrzuPY5KnWQshhKhAVXqGY15eHitXrgTg7Nmz6PV6lixZAkCHDh3w9fWlS5cunD17lri4OAAcHR154YUXePXVV/H19aV+/fp8+umnpKen8+yzz9rsXq7HWashMqQaJ86eg86NULu6YszOpij+LDW8/UjW5eKX5U62XotH+knwq42dvT0efgFcUhRqZ+7hIA05fuYszdoUo7Kr0r8WQgghhBBW9ccff1CjRg1bhyGEBTdHeyYO60WXtnpe/v0we89mEq06xyzjTFJXfc6zu97g4SH9qBvkbutQhRBCVEFVeoZjSkoKQ4cOZejQoWzatImEhATz6yNHjgCX90UqLi62OG/atGlMnz6dWbNm0bt3b86fP8+aNWuIjIy0xW2US6eY6uQVFLL3dDIO1auj0thReCqO6q5OXHC1w9lBQ6qxJlw4ZD7Hq1oIWfpsAn3UBGZe4oDGhYLTp214F0IIIYQQtycuLo4JEyYQExODnZ0d9erVK7NebGws3bp1Q6fTERAQwNSpUyksLLzD0QpR8eoEubH4sVbMHNKA1o7xKKgwomZVkhP95m7l1T+OoDcU2TpMIYQQVUyVnsoWHh6Oolx/qcCmTZtKlalUKl544QVeeOGFCorM+moFeqBz82TboTiatKhJ/t69FJw5Q3AX0Lg5oE/Lwy7Pj8KLB9AWXAIHVzyDqnFq7y5UNSKpE3ucDQ1bknI0ltCoKFvfjhBCCCHELTly5AgrVqygRYsWmEwmTCZTqTqZmZl07tyZmjVr8uuvv5KYmMjkyZPJy8vj448/vulrDhkyBJPJRKdOnXjrrbdwcXGxxq0IYTVqtYphTUPIqvMGn/7Rhu3/niAfR1Dg2+3xHDq4m4d6tKF/sxqoVPI0ayGEELevSs9wvBfkZmWSfvYMGrWKRrUiSL6YSo6nDxpPL4zZekwJCdTxdSHOVY2dRkdaXgBcOAyA1tEJVx8f8oJqEZl1Ese8Yg6m6TFmZ9v4roQQQgghbk2/fv1ISEhgyZIlNG7cuMw68+fPR6/Xs2zZMnr06MG4ceOYOXMm8+fPJykpyVyvefPm+Pj4lPq5st2///6bAwcOsGvXLvLz8+/aLXiEAPBw1vKf4f156YnxNAy+vJRaSxHvFc2gyYqevP7RZ8Re0Ns4SiGEEFWBDDhWcoX5+STFHqHIYKBTg3CK0fD34TM41KwBajUFcado7KYjyc0OlQZSi8JRkg9d3jUa8AoKISs3F5+oYGpePM9BtwDy5OExQgghhKik1Oobd29XrVpF165d8fLyMpcNGzYMk8nE2rVrzWW7du0iLS2t1M++ffvMdUJCQoDL+4A//vjjbNu2zYp3I0TFaBDswbIn2vD2oPp0coojVJVCEOnsvVBIn4+28ubyo1ySZdZCCCFuQ5VeUn0v8AgIROvkREr8KULrNsDf3599sWfo1S2G3J3/UBAXh2+XzgT76DibmkVghheX0nJw0yeBezW8qgVz9t990KQd9X76g4Mhg4mNO0PTFs1RlaPDLoQQQghR2cTGxjJu3DiLMg8PDwIDA4mNjS13O7m5uRQXF+Pu7o6iKPz888/ExMTc8Dy9Xo9e/79ZZMnJycDlvcWNRmO5r38zjEYjJpOpwtq/11SVfN7ftBrdaj/JR39EcunYX/yrVAdF4cutZ9hwII5JPevQOyb8jiyzrio5vVtIPq1Pcmpdkk/ruxM5vZm2ZcCxklOpVHiHRnDxVBwhtevRtmFNfl21kbNqR7x8vClOSaUwIYEmfoGsdL9EeI6W1MII3C4cAvdqOLm44uzuSY7Oi0API0Hpmex30NLw3Dm04eG2vj0hhBBCCKvLzMzEw8OjVLmnpycZGRnlbufixYsMHjzYvFdkgwYN+Oijj2543pw5c3jttddKlaenp+Pg4FDu698Mk8lE9v9vm1OeWaDi+qpaPkd2bc3hug3Y9tc5TqTmAzDe8C0xf/zLu1ueoHPPQUR4OVVoDFUtp7Ym+bQ+yal1ST6t707kND09vdx1ZcCxCvAMDuFS4jkyks7TokY1fnfUsenAKUZERVGcmkbBqVPUDI9A6+5A6sUiinKDCEvajl2NLqCxx7taMGkJZ6nZsg11tx5mfYPWpB09RpAMOAohhBBCXFNkZCQHDhy46fMmT57M+PHjza+Tk5Np3rw53t7e+Pr6WjHC/ymZkeDj44NGo6mQa9xLqmI+O/n60r5eOIt2nWPBup0MUzZhrzLikH6UBxdEM65NOE91qo7OoWI+QlbFnNqS5NP6JKfWJfm0vjuR04KCgnLXlQHHKkBjZ49vWATJJ49TLziUmuHBxJ05g6pPC9i6lYITJ3Ht3JkYP1eOpuTTOM+NtCwnAtJOgn8d/CNrcD72CAWNm1Fj7Ub+zm3K3qx0AvLyUDs72/r2hBBCCCGsytPT0zwD4EqZmZkW+zpWFDc3N9zc3EqVazSaCv3QpVarK/wa95KqmE+NBsa0iaRvw2rMXWpP9biv+dzYl2IUPv/7DH8eTGJ6n5r0aBBaIcusq2JObUnyaX2SU+uSfFpfRef0ZtqVeatVRED1KPRpKeRmZdKlUQ3yC4o4cKkIu4AAitPTKIyPp6Gbjiw3ewq0alILI1GS/wVA6+SMT2g4FxLO4dMgipopCRx09iXv2HEb35UQQgghhPVFR0eX2qsxOzub5ORkoqOjbRSVEHcPHxcHJo8eStDDC4kM+N8gfP2crUQt7c7MTz/lTFquDSMUQghxt5MBxyrCyc0Nj4Agkk8ep4a/B64eXmw7dAbHWrVQax3I27cPV42aWn4uJLioyC30JjcpEQyXNywPqhlN1sVklEbtqJ98iCy1IydOxKH8/9OshRBCCCGqil69erF+/XqysrLMZYsXL0atVtO9e3fbBSbEXaZZuBfLJ7bllb51cHdQ8V+7BUSqL9Dp4nf0eH8zs9YcJ79QHvgghBCiNBlwrEICqkeRdi4eY1EBTWtHkpySSm5gMCp7O4oSEylOSqKRpwvnPOxQO+hIzQuAi4cB0Hl44uEfSEp+AdWCHAlMz2BvvoriCxdsfFdCCCGEEOWXl5fHkiVLWLJkCWfPnkWv15tfp6amAjBhwgRcXV0ZOHAga9eu5ZtvvuG5555jwoQJBAUF2fgOhLi72GnUjGsbwbopnVkc8QZ7TTV5uWgshUaFjzfG0e39zaw7etHWYQohhLjLyIBjFeIZGITW2ZmLZ07RqUE4JpWGrUl67Hz9UNlrydu3j1BHLV6eTiQ7QpohGGPiIfj/WYxBUbVJOxePY7PW1Es8ykmdN2lHj9r4roQQQgghyi8lJYWhQ4cydOhQNm3aREJCgvn1kSNHgMt7OG7YsAE7OzsGDhzI888/z/jx45kzZ46Noxfi7uXn5siUsSMofGg1Jt865nJD5gW8f+rNrHmfcS49z4YRCiGEuJvIgGMVolKpCKgexcVTJ/FwsicoIIADJ87i1LgxSlEhBadOY0xPp7GfK2c87TDiQcaFQtAnAuDuH4CTqzuZrgFEkYJ9bgH7zqVgKiy08Z0JIYQQQpRPeHg4iqKU+dOxY0dzvdq1a7N+/Xry8vK4ePEi7733Hlqt1naBC1FJtKrhw8r/tOPF3tE4azW8YL+Ixuo4HrswncHvr+TD9ScxFMkyayGEuNfJgGMV4xceSXFhIRlJ52nfqCbZej1nXbzReHiAWkXevn3UdXHG5K4l21FLSkEo/P/DY1QqFUFR0Vw4exrPRg2ISklgn70HhhMnbHtTQgghhBBCiLuGvUbNo+2rs2FKB86E388RUxgfFN9HWrET768/QY8PtrDxeIqtwxRCCGFDMuBYxdhptfiGRZAcd4KmkQHYObuy6d84nJs0QSkqxhAbi31uDvX83Uhw06A3+JKXcBKMRQD4hIah0WjICatDg/RYsrDneGycje9KCCGEEEIIcbcJdHfi2YcfJHPUWjZ7DjaXn03PJfGHCbz32decz5Rl1kIIcS+SAccqKKBGFPrUixTlZBMdEULc2URUNWqi8fRAKSoif/9+GnnqSPW0o9DRndRMHaQeB0Ct1hBQsxYpqSmERHgRkJnJ7uwiitPTbXxXQgghhBBCiLtR21oBrHimI8/1qIWjvZr+6h08YLeB55InMXnOl3yyMY6CYllmLYQQ9xIZcKyCnN3c8fAPJDnuBN0a16SgyMiWI/HoGjcGRSH/yBG8i4sI83Eh0UlNan4opvP7zA+P8Y+sQVFBAcV1GlE/KZaTTh6kHzlm47sSQgghhBBC3K0c7DQ82akGG6Z0pFpEFMdMIWwx1mdXUSTvrTlOrw/+5u+TqbYOUwghxB0iA45VVECNWqSdPUM1N3v8g4LYtOcI1KyFxsMDU04u+f8eopGvK4k+9hjwIzMxC9IvL5221zrgFx5JilFDHadL2OcUsu/MeZTiYtvelBBCCCGEEOKuVs3DiWmPjObiiDXMcn0OUAFwOi2XX7+Zzawvvyc5O9+2QQohhKhwMuBYRXkGBKJ1ciI1/gxD2zckx1DI6v0ncW7cGBQTeQcPUNNejaOHA2nOWi4U10E5tQlMJgACa0aTk5GOQ/26RKWeY4/KlfzDh217U0IIIYQQQohKoWPtavwyqS+TukbhYKcmkHTesv+aZ89PZO7s1/hs8ykKi022DlMIIUQFkQHHKkqlVhNQI4oLp05Q09+NsLAwdhyMpTiyJhoPT4wZmRQdO0ajQHfOe2rQFwSQmVoIFy8PKjq6uOAdHEKGRyAx+jNkqrUcPHAIU0GBje9MCCGEEEIIURk42mv4T9earJvUgR4R9iQqPmQpOlYXNmTGqlh6f/Q320+l2TpMIYQQFUAGHKswv/DqFBUUkJmcxPAODTEUK/y+OxanRjGgmMjdt58GLo7kemgpdrYnIb8eptN/g/Hy0umgqNpkpqURWNOPqIsX2ejkj373HtvelBBCCCGEEKJSCfV25tXHRnB26BqecXiDDNwAiEvJ4dUvlzDr60Wk6A02jlIIIYQ1yYBjFWan1eIXHkly3HGqeemoU6sG+4/FkRteA42HJ8XJyWhPn6JWkBtnXdUUmvxISdVC4l4AXL19cPXxQR9ck9aJe7iEEztOnMGo19v4zoQQQgghhBCVTdf6Icx7dgwTO9dAq1GjwsQ79l8w+ewTLP3gP/y47yLFRllmLYQQVYEMOFZxATWi0KdeJCczg/vb1cOk1vLrzqM4N250eZbj3r209nYlyVtLgYOaREMdik/vgKLL3zAG1axNep6BwChf6scfZ5tLNVJ2/GPjuxJCCCGEEEJURk5aDVO612LNpPb0j9TgQQ5qlcLeonA+3HKe/p9sZ3d8hq3DFEIIcZtkwLGKc3Zzxzs4jDP79+DhrKVZg2hiT58lvVoYGncPis7E456YSONqHhzy1mDCi8R0bzi3AwCvoGponZzIj+lAy7T9aPKL+Ssxg6KLF218Z0IIIYQQQojKKsJHxweP9OLk4LX8124yG02NADh+MYcH5m9m9ne/kHpJ9o8XQojKSgYc7wHhDRuTl51FSvxpBraIQuOgY8mOozg1boRiNJK3dw9tvVwp9nEiRafmoqEmhtP7waBHpVYTVDOai6kp+HZsRcu4/RxwCSB+204URbH1rQkhhBBCCCEqKZVKRY+YMF6c+hIT2kdgp1YB8LjdH0w6/ShrZz/Ed9vOYDTJ5w4hhKhsZMDxHuDg7ExI3fqc/Xc/Wox0bFaP+PPJnPMLRuPhjiE2Fs3FC3QK9uSojx0mO3fOZQTD2W0A+IZHogIyg+sQY38B3/Qs1lwyUXD6tG1vTAghhBBCCFHpOWvteK5HLRY8UIc2Ee70Uu9CrVIoKjYx/c+j9P94K/vOZdo6TCGEEDdBBhzvEYE1aqF1cubc4YP0iInE2c2T33Yew6lxYygqJmfnP9TRORIY6MopdzUZBRHo445BbjoaOzsiGjUjMe44jt370vbMLk7be/DvP3tRjEZb35oQQgghhBCiCgj3cuS7h1sSN3A5n2pGMad4KABHkvQM/nQ7b/24gYzcQhtHKYQQojxkwPEeoVKriWzclIunT2HISqd364Ykp6ZxzNUPjacHBcePU3D0GN0CPUnw1ZLn6MK5rEiU05sA8A4OwSsomITcQmqFO1Ej+TzrjDpyDx+27Y0JIYQQQgghqgyVSkWfxhE8NPUj7m9XD83/L7NurDrB1NihrHhvDD9tj5Vl1kIIcZeTAcd7iJuPH34R1TmzfzdtogLx8PZjxb4TODSMQWVvT87ff+NTaKBJiCfHvDXoi0NIP3UeshMBiGjUlPxLl8hv1ol2F/eTZbJn+4FjmApkM2chhBBCCCGE9bg42PFSnzqsfLodzSO8mGD3J/YqIy1NB3j5j+MM/nQb/57PsnWYQgghrqFKDzjGxsbSrVs3dDodAQEBTJ06lcLCG0/BDw8PR6VSlfoxGAx3IOqbE5+ey+a4rHI/wCWsfkMK8vK4ePokQzo0IiP7Ent0vth5e2G6dImcv/6ijZcrxX5OpLg4k3CpBsaTG0FR0Do6Ed6wMYnnEwlqUYeYsyfYpPEkY8/eCr5LIYQQQgghxL2oVoArPz/aEkP/z/hSNYRXisdQhB0Hz2cz4JNtTF+6h6w8WWYthBB3myo74JiZmUnnzp0pLCzk119/5e233+bzzz9n8uTJ5Tp/yJAh7Nixw+LHwcGhgqO+eW6O9pzOyOdQor5c9e0dHAmrH0PCkX+p5etMQGA11u8/jmOHjqg0GgzHT6A6HkvHMC9O+tlzyRTExTN6yLj8gBi/8EhcvLy54BFK66LTqHMLWX8iAaO+fNcXQgghhBBCiJuhUqno36wmw6bNp1bLPvz/KmucFAPjDw7n95njWLrjGCZZZi2EEHeNKjvgOH/+fPR6PcuWLaNHjx6MGzeOmTNnMn/+fJKSkm54vr+/Py1btrT4UalUdyDym+Ol09Iq3J2/T6aRnlO+pc1+EdVxdvfg7L/7Gd6pETn5BaxNuoRz82YoJiM5mzZTFyN+QS6c9nQg8VJ1io5vApMJlUpFZJPmXMrORNu2La3OHmS3xpNzO/6p2BsVQgghhBBC3NPcHO15tX9dlk9sR5MwT8ZrVhKiTmWkspJP//ib++Zv53Bitq3DFEIIQRUecFy1ahVdu3bFy8vLXDZs2DBMJhNr1661YWTWV8vXiQgfHSsPX6DYaLphfZVKRWTjZmQkJuBNHjUiI/l731HSqtdCGxyCMTOT3I0b6VbNi2R/B9Ls/Tl/VoFz2wFwcnElpG4DEg0mGvkX452RwcpEPUUXUyr6VoUQQgghhBD3uDpBbix+rBXh/abyrWog8439OKVUY/+5LPp/vJXpvx0iO7/I1mEKIcQ9rcoOOMbGxhIdHW1R5uHhQWBgILGxsTc8f+HChTg4OODi4kLv3r05dOhQRYV621QqFZ2jfSkoMvJ3XFq5ztF5eBJYI4rT+3fzUOcG2Dm68PXKHdh17Ija2Zn8w0fwPHWSRqGenPR1INlQl5yju8xLq4Nq1sJR50J2rUZ0vPAvJ1XOHNq4BaUce2QKIYQQQgghxO1Qq1UMblmLQc99SUrT5yhZjGZSoP7eF1k68xF+++dEufe6F0IIYV12tg6gomRmZuLh4VGq3NPTk4yMjOue279/f1q0aEFoaCinT5/mrbfeom3btuzfv5/IyMhrnqfX69FfsZdhcnIyAEajEaPReGs3cgNGoxFDkQEvNfSo48fSfYmEeDgS4aO74bmB0XVJOReP/uxJxvZuxbyl6/n2n5OMbdOanDVr0G/YQKsHHuCYvxPJl0w4Zjak7oE/sWvxEDi6Ed6oKYf+WkO1Wn5EXUjk95Bq+G3YSEC3Lnfl8vPyMhqNmEymCnvP7jWST+uTnFqX5NP6JKfWdSfyKe+VEKKycne2542B9RjWNIT//n4Y58RtDNFsAQWe/8Obhfvv442B9YgOcLN1qEIIcU+psgOOt+Ojjz4y/3+7du3o3r070dHRzJo1i08//fSa582ZM4fXXnutVHl6enqFPXDmRNYJ9iTvYRCDcLJ3oqaHmmW7TzO4gS86reaG57uFhHNi726i2upo1SCKv/f8y5+6KFpXC8Z47Bj5f/5J/bYd2elhwi3Bk8PxPkQqCyioPRjUGnR+QZwxFNAuYx9L3LxZmF/M/Zu34Fi3ToXc751gMpnIzr6894taXWUnAd8xkk/rk5xal+TT+iSn1nUn8pmenl4h7QohxJ1SP9idZY+3ZukOT75fd5AGpqMsNnbAGJ9Jn4+2MqZ1OM90rYmro72tQxVCiHtClR1w9PT0NHfOr5SZmWmxr2N5BAYG0rZtW/bu3XvdepMnT2b8+PHm18nJyTRv3hxvb298fX1v6prl5eruynH9cfbl7qNf9X509/bh0r5E9qcYGRjjf8OZhj4+PhTrs8iOP8V97TqSmlPArmOnadCtLb76bIynz9CiUSNSo/w5ocoiJqkuWan7CA0+BDW64eXpyaFcPfatW9J/+zYW1+3GlvgUhtaojjY4uELuuaKVzPLw8fFBo7nxoK24Psmn9UlOrUvyaX2SU+u6E/ksKCjfg+eEEOJuplarGNqmDpkx3zBr9WFMe5JBAaNJIW37D/y8LwX/Pi/St3FkpV6RJYQQlUGVHXCMjo4utVdjdnY2ycnJpfZ2tBY3Nzfc3EpP1ddoNBX2AcFR60jnoM5sydzC9gvb6RDcgV4Nglj4z1kOJuppEnbjwdWazVpx6K81nD2wl/Hdm/FWWhYL/z7ElPadMP35O/l/baT/2DEsCnPjeBGoUurjcnQnvp5haPxqU7NZKw5vWk/1do3pvn0nK+q2JnDTDjoP7oPG1bVC7ruiqdXqCn3f7jWST+uTnFqX5NP6JKfWVdH5lPdJCFGVeOq0vHVfY4Y0y+Tl3w9zLjGJl+0X4GPS8+OydEbufZ7XB9Slpn/l/KwihBCVQZVd59SrVy/Wr19PVlaWuWzx4sWo1Wq6d+9+U20lJSWxdetWmjVrZuUob19OZgE58Qo9wnpwIvMEB1MP4u5kT9fa/myLS+ei3nDDNhycnandtiMZiedJO3mMJwa0Jb9Y4evjKTg0bkzxxYsU/fUXQ8J8uBTiTLy7C6ez6pOzby3kpuPm60dAjZokqBypX9ebVnGHWa325tDq9SjFxXcgC0IIIYQQQghhqVGoJ78/2ZYX+9Zjjao1eYoD84z92XE6nV4f/s2MVcfILZDPK0IIURGq7IDjhAkTcHV1ZeDAgaxdu5ZvvvmG5557jgkTJhAUFGSu16VLF2rUqGF+/eOPPzJq1CgWLlzIxo0b+eqrr2jfvj0ajYYpU6bY4lauS6WCzGQDhefs6RLShR3JOziTfYYof1eiA1xZdSiZwmLTDdvReXhSq3V7Eo8fwS77IkO7tSLhQhrrHHywDw4mb+8+7Hft4r7qfiSGOHJe58vJ5AgKDyyD4kLCGzZG5+nFOa9g2vhcoub5c/yS78D5zX/fgSwIIYQQQgghRGkatYrhbevS49nveSd6MecUfwCKTQortuzkh5kTWbU/Xp5mLYQQVlZlBxw9PT3ZsGEDdnZ2DBw4kOeff57x48czZ84ci3pGo5HiK2bhRUREkJSUxDPPPEP37t15/vnnadKkCTt27CAiIuJO38YN6TwcCKnvRkr8JZzSvGkR0IL1Z9eTlp9Gx1p+AGw6nlKutjz8A6jepAWn9+6iroeaxg3qsu3Iac7Wa4JGpyNnyxY8Dx2kT5Q/J4IdSLIPIy7OCVPsatQqNVEt26J1duZijRh6G0/gkpHNgnN6sg8drsgUCCGEEEIIIcR1+bg48PqIDiyZ0IrogMtLqafb/cAE4yL8lg3hoa/+4VRqjo2jFEKIqqPKDjgC1K5dm/Xr15OXl8fFixd577330Gq1FnU2bdpEfHy8+XXLli3ZuHEjqampFBUVkZqays8//0ytWrXucPTlp/PQUr2JL4knMgnKq06kRyQrTq+gSMmnd/1AYi9cYt+5zHK15RceSXDtuhzf8TeDGwXj6x/AT4fOUtymHaBwad06wuOO0z7Kj8MhTiSYojh3KBmS9qOxsyO6TQfQ2JHVqAUD0vahzzfxy+5YCpOTKzYJQgghhBBCCHEDTcO9WD6xLa/2qUmG2guTouJnY0f+jkun5wdbeG9NLPmFRluHKYQQlV6VHnC8l3j4ORPZyJeEoxnUoyluWjdWnVmFp4uGXvUC2HoyjT3xGeVqK7hOfbyCQzi5YwuPdG+Eorbn6zPZOHXpCgroV6ygUfI56tbw5t9qrpy5FE3qrm2gT8Je60Cddh0pQgNNm9Dv3G6OFTuwZt02TLm5FZwFIYQQQgghhLg+O42aMe2i6DRlAbMiv2KxsQMARUaFeRtP8uHM/7L20DlZZi2EELdBBhyrEO8gF8Lr+3DuUAYtnTpQYCxgw7kN1PBzoU+DQLafSmfn6fQbtqNSqajepDlOrm5c2L+TB7u3ICVTz7y4TLRdu6KYFPR//E7HS6kEVvfgYKAvJy5WJ2fHr5B9Hq2TM3U6dCZPbY9no+p0iP+X9YWO7Fm9AaWo6A5kQgghhBBCCCGuz8/Nkamj7+PHR1sT5e8CwEjNBp4v/vT/2Lvv+DrL8vHjn+fskXNyTvZOmmY3bdNNC6WDDopQykZEQCiKCChTAfUr+gMUgQIKIg5QhiJTVqGUVQoFune6s3dycvZ+zu+PYgRbSgtp06TX+/XKq577PON6rlSaXOe+7pviZ+byg7++S323TJoQQoivQgqOg1xMjdEb6e17nV5gI78yhab1bk60nUSTt4lP2j5heHoS80fnsHJPDx/u7PrST+s0Gi3lk6dCIoGhpZZvn3IiLd1uHtjaiWbGTBKRKL7nnuNU1Yep2M76tHy2NJXi/uA56NqJOclG5dQZeAw2ykusjG7azTNuDev+/SpqIHCYsyKEEEIIIYQQB+e44lRevWYqt55SSbGuC4BtiTxe2xFg9qJlLHpzO6GotFkLIcShkILjILfdtZ3Xml6jzl3XN5ZVnEx2iYP2DSFOdMxkTccaVrWtojDVwoIxuaxpcPH+ji8vOuoMBiqnTifg7iXF3cD3zzwJtz/M/Vs6iE47CTUUJvTMv1hgjhIeZmOLI5ctLSPpfP81aNtIkjOFiuOn4UrO4jhHL6UtzTzuM7LshdeI9/Ye3sQIIYQQQgghxEHSazVcfmIxp1z3Z+7Of5BfRb8NQCSmcv9bO7j+7od5Z0vTAEcphBCDhxQcB7nKlEpGOUfxRv0brO1Y21dEzC1zkF5gw7tZw8y0OazrXMeb9W+S5dBzxtg8Nja7eXdb55cWHY0WK5VTZ9Dd1ICmcQs/PGcGUTT8bmsbvqnTUf1+lH89zVmpGjyldtZmZLGlaxRNy5aRqP+I5IxMyo47nt6c4Uy3dzBhdy0vhsy89NKbRNrajkSKhBBCCCGEEOKgZCWbuOGyC7n7slMoTrcCUKy0sCj0M3L+OZef/vkFGnukY0sIIb6MFBwHOUVRqHZWM6dwDqvaVvF249vE1BiKolAwIgVnlhX/Zh3zMk6jI9DBiztfJNkS58yxuWxt8/DW1o4vLTpaHU5GnjQXf28vvetWcO38KehNVh6u7aBj0onEet0Y//kPvpWixVLuZGVeJpvdo9mzfD3qjrdJzclj+ITj6MoZzrjhOmbvXMP7AQN/f205/l27j1CmhBBCCCH63+LFixkzZgw1NTWMHz+e5cuXD3RIQoh+cEJpGq//8ERuOrmcOfoNGJQ4DsXHiztjzF70Hr9/ewfhmLRZCyHEF5GC4xAxLHkYZ5SeQbO3mZd3vUwgGkBRFIaNSsOZaaFlVYATDXPQKXqe2/EcGp2Hs8fmsaPDxxub21HVAxcdLfZkRp00F6PVStMn7/GDWSOwO1N5bHc3deNPIOZyEf3bY5wZbKekKo3Vw9JYHxrF9g/qiG96lczCYVRMORFXchb5I7M4o+4TtgcUHn5nLV3rNxyhLAkhhBDiSFFVlTVr1vCHP/yBn//859x44438+te/5oUXXqCzs3Ogw+s3l1xyCU8++STr1q3jF7/4BVdfffVAhySE6CcGnYYrp5fw7evu4u6c+7gp+j18WAhFVe5esp1v3/s8y2pbBzpMIYQ4KknBcQhJM6dxdtnZqAmV53Y8R1ewC0WjMGx0OsNGp9GxI0CVaxIFlkJe3PkivfEGzh6XR323n5c3tBCIxA54fZ3BQMXx08gaXkbDyg+5eEwW2Tm5PN3Qy5aaySRiMXz/fJpp61ZwYkUqm0tS+USpZvOKHiJrniMlM5PRs+ZBRj7GUSWc1/4xvZ4ID36yk4YPPvzSmZZCCCGEOPrt2rWL6667juzsbMaPH88111zDH/7wB/7xj3/w//7f/+Oss84iKyuL6dOn8+STT6Kqar/ef+fOnVxxxRXU1NSg0+morq7e73G1tbXMnj0bq9VKVlYWN910E5FI5JDvpygKbrcbALfbTW5u7teKXwhx9Ml1mLnhu9/hOxcvpDDVAoCOGL/y/YL0p+bw6z8/SUtvcICjFEKIo4sUHIcYi97C6SWnk23N5oUdL/RtJpOWZ2PE1ByiwTjOXcWMS5rEWw1vsdu3jnPG5eEPx3l8RT07O3wHvL6iKBRUj6LsuBPo2LGV+XkayoYX81Krl3eqJqPNzyfw3nuUvfA0Z+QZaCtLZVlSFetXRgl89DQmbYzqGbNJq6gmXDWCM/zrMHW6eHBTO5vfeJtEXNoShBBCiMHqu9/9LiNGjGD9+vXcdtttrFu3jlAoRGdnJ01NTfh8Pjo6OnjllVcYPXo0N910E1VVVXz44Yf9FsPmzZt59dVXKSkpoaqqar/HuFwuZs6cSSQS4fnnn+eOO+7gkUce4brrrjvk+z311FOcdtppFBQUcNNNN3Hfffd9zScQQhytppdn8MaPTuS62WXM1G+iXNNEpaaB1bvaOOme9/jDu7uIxPr3QxQhhBisdAMdgOh/Oo2OkwpOYk3HGhbXLWZy9mRGp4/GnGSg8oQcGjf30FkbZ0rBSXzSuQxXyMWZY2eyrtHLqxtaKc+yMb08HZNe+4X3SM3Lx2y3U/vBMk4waUiuLmPF5l1sNWdyzth0Ujeuxvnonzn3G6fxSkUmb+/S4F9fR0X7k2SOH09xzQTsaensNBg5ac9WPm718+dEPt949hVOnDYJY1bWEcyYEEIIIfrL5s2bGT58+Be+n5aWxrx585g3bx733nsvTz31FHV1dUyZMqVf7n/aaadx+umnA3vbnVetWrXPMQ8//DAej4cXXniBlJQUAGKxGFdeeSW33HILOTk5AEycOJHdu/ddb7qgoIA1a9YQi8X49a9/zRtvvMG4ceN4+eWXOfPMM1m/fj2KovTL8wghji4mvZZrTiqlccy1/PZfGeibPmRlogKicX7zei0vrdrJz+bXMKUsc6BDFUKIASUzHIcoRVEYlzmOuYVz+aTtE17a9RLdwW60Wg1Fo9Iorkkn1mxggncm3b4entv5DNlpPr45MZ9Ob4gnPqqnvtt/wHv0retosVAebODSmaPBaOFPHWGWVEwkbrage/qfnLHtY3LKnSwvKOPd7mo2vb4F//tPkOY0M2r2PHQjJzI2NcDE+i282hln0UvL2fb2e6jh8BHKlhBCCCH6wyOPPHLAYuP/0mq1fPvb3+aCCy7otxg0mi//8Xbx4sXMmjWrr9gIcO6556KqKkuWLOkb++STT+jq6trna82aNQCsW7eOrq4uxo0bB+wtdjY2NtLV1dVvzyOEODrlp1i48YrLqb7g1+Q5zX3j5/T+laQn5nL3X5+i3RMawAiFEGJgyQzHIa7YUcx55vNY0bKCf23/F9Wp1UzImkBqbhJWh5GdqzuoaJuMJ6eZxXsWk2fL4+RRU9jWovLi2haqc+1MLU3HoNv/D+//WdexaesmmmrXc+6wDLbml/PB5t1sTxrGfHsa+Ss+5KS6PWz/xhl8lJJLY5ONyk3NjGh8jvwJFYycPoPdTifqhtUU1X/ECkMxD8a1jK17hfmTR+CsKJdZAkIIIcQQUF9fT2Fh4UCHQW1tLZdeeunnxhwOB9nZ2dTW1h70dfLy8tizZw91dXUUFRXx4YcfYjQaSUtLO+B5Ho8Hj8fT97q1de+mE/F4nPhhWl4mHo+jquphu/6xRvLZ/wZrTmeUpzG5+AT+8N5uXln2MRdpl6BTVN7d/QYz707hhyeVcNHkQvTaIzvXZ7Dm82gmOe1fks/+dyRyeijXloLjMSDZmMzJw06m0dvI8ubl7KjdwaSsSVSmVlJ1fDaNW13E98AkZw4Nylae9T7NqLRRnD6mmndre3jio3rmjMgkz2nZ7/UVjYb8EaNIKxxGw8Z15HXu4Ntj8nijIciT7TGqh49ldkstJX99mOHHH8/q8hpWpVjY3ZLCmKV1VA77B8MnzSA54xvUb1jLlPodlNfV82HaCH79ziZO3rqHE2cch87pPMKZE0IIIUR/uuiii3jzzTcxGAx9Y+vXr2f06NFHNA6Xy4XD4dhn3Ol00tPTc9DXycrK4v777+fUU09Fq9Wi1+t5+umnv/SD0nvvvZfbbrttn/Hu7m6MRuNB3/9QqKrat7nNwcwCFQcm+ex/gz2nF452MK1wGr95/Tamdv+Lh2KnEyLOHYu38fQn9dwwPZ8x+fYjFs9gz+fRSHLavySf/e9I5LS7u/ugj5WC4zEk35bPuWXnsql7EytaV7C5ezNTc6dSWJ1NeoGN5u0ushuqyHAUsSu+ge2G7YwrnUhXTxrPrm5ieHoSE4pSyEo27ff65iQb5ZOn4unsoG79Gk6yuGkvz+bdPS72pJUzW3VT9sEHjP/oI8qnHM8HZVUs6bSxvbGViU1vUjohj7GzZ9FaV45m0wZO2bWFXfV6/h2p5JN/LOGsmiJKJo5D0clfWyGEEGIwuvTSS7nqqqt45JFHgL2tzddee+0hzSo82lx00UVcdNFFh3TOddddx8KFC/tet7a2MnHiRFJTU0lPT+/vEIH/zkhIS0tDq/3idbrFwZF89r+hkNP0dBhTciVLtpyF89VaWt17W6rzXB+T/fKNPFF8E98+Yz5pSYfng4XPGgr5PNpITvuX5LP/HYmchg9h6Tup3BxjtBoto9NHU+oo5ZO2T3hx54sMdwxncs5kSsdn4u8N07TNhaZ5Ij57Nx+HPibZlsTMEZNo6IR/rmwg32lh4rAU8pzm/X6Cb0/PYORJc+lqqEO3cR1n5yms9KbwYoeOlLxkJoZ6GPHuO8zVL6fphOl8WD6c59odjPiwiXGb/0HOyCIyZ0+nubwSzfpV5Gz7hPVKDvfHtYzf2sisMSXkVlehfGZ2hBBCCCGOfhdffDHvv/8+f/3rX4lGozzyyCMsXbr0iMfhdDr7ZgB8lsvl+ty6joeL3W7Hbt93ppNWqz2sv3RpNJrDfo9jieSz/w2VnJ4yKpfpFZn8/u2dPPr+dn6hfYxhmnbU3b9l1r0Orp9TzoXHFaI7zG3WQyWfRxPJaf+SfPa/w53TQ7muFByPURa9hen506lKreKD5g94YusTDLMPY0TqCMom5uHtCdFUa8bc6qDL08Ryz2KyHZlMqSinu1fh+TXNZNqNTBiWQnGadZ/Co6IopBcOIyU3n9bttei2bWGkzcoGt8KSHj0f5CUzOthDzVtvcKbRxJbjZ7CyuIxtriwKP+hi9CcvUVCRRtZJU2mqGIlp1QcM272CDbbh3BmE0hVbObEin5HjqtHvpyVKCCGEEEeP6upqJkyYwPjx47nwwgv5wQ9+QHFxMcuWLcNqtR7xeCoqKvaZVel2u2ltbaWiouKIxyOEGHosBh03nVzBmWPzeObpqzm78/f8X/QSvIk4v3h5C/9a1cSvFlQzrlCWjRJCDE1ScBzkYjEf0WgnicSBFyf/IhmWDBaULKDV38rm7s28uudVbAbbp4XHMiIuB021Vpyt2Xjcnaw3rkRJjlFZXEbYl8trG1pxWPSML0qhPNOGRvP5wqNWpyOvqpqM4uG01G7BVr+HGouG7QEbK11GVhuSqQz0MGbJa5xvT2LXuMlsGpbPVn82WVt7GLHxI0YUaBlz0hSaRgZJW7WC3qbd7MbJo6EEyZsamJydzAmTRmIvyJfNZYQQQoij0CuvvMLq1atZvXo1L730Eu3t7SiKwlVXXcWYMWO45pprjmg88+bN44477qC3t7dvLcdnnnkGjUbDnDlzjmgsQoihrSQjiRuvuopXNyyg49Vt4NnbjtjS2kzPn3/OorKruOiMU0k9Am3WQghxJEnBcZALhhpw9b6Mqq7EZivHai3DYEg7pMKboijkJOWQk5TD8TnHU9tTy6auTXzc+jEljhKqxlaR6yuguzmVtLZc3D0uui0t9Fi3kJmTBaEi3toa4f0dnZRkJFGaYSPXYf5c8dFgMlNUM46CkTX0tDSRuWcXlS3N1PvN1Hqy2WxKZligl6r33uH0WIiuouHUloxiqb6SD7p8lNTXM97hZ/SJE/ElTGTv2EXF1nU0+RSWuQt5s9nNSIuGGRNGUFRdjkbarYUQQoijRlFREUVFRZx11ll9Y/X19X1FyP4UCAR47bXX+u7h8Xh49tlnAZg2bRrp6elcccUV/O53v2PBggXccsstNDc3c+ONN3LFFVeQk5PTr/EIIYSiKJw6Op/pFdk88NYO/rp8Dzdpnma2dg3H7fwBc+/WcuXJY/jmxAK0GplAIYQYGqTgOMjZkqpITbFgsbgJBnfS27sKvcGJ1VpKkrUMgyH1kK5n0VsYmzmWMRljaPQ2sqlrEy/ufJEUUwrFucXkl+QyrDed7uYc2tt7cHV20WnegNGpYtEXUedysqGpF4tBt9/io0arJS2/kLT8QkI+H0V1u6jYs4s97TG2ezN4JcmJORwiv9fNsKUvM0qvoXl4JRuzy1mfyCT7Ey8lNFPhVCicOZmyGJSt30JT0w7qtGkscodIfW8d5Q4zNVUllFQWo9/PGklCCCGE6H8vvvgiCxYsOKhjCwsLKSws5Mwzz+zXGDo6OjjnnHM+N/af1++88w7Tp0/H6XTy1ltvcfXVV7NgwQJsNhsLFy7k9ttv79dYhBDis5KMOm45pZKzx+Xx4j9raerZwFOxmbTE9fz0xU38a1Ujvzq9mtH5joEOVQghvjYpOA5y8d4wShNYispwZNQQx4/Pvx2/bwe9rk8wGFKxWsswWwowGtJRlINb4FNRFArsBRTYC/BGvNT21NLgaWBV2yqMOiMFuQVkD8uhwF2Ou7mIlj0deA3dhA316K0x4sYMNneksareSrLJ0ld8zHaY0H+6OLIpKYmC6tHkV41keFsro/bspKOpid1dCq1hM3vsKehDIbIaWxi9ZTNKso22wkpWOLN4N6zDuT1MfsxDeUo2U4YXUON3s2PLRjr9CXa1Ovm4uRPdsnUMN2kZWVLAqFHl2HIype1aCCGEOEzOOussbr31Vn75y18OWAxFRUUkEokvPa6ysnJANqwRQoiyTBs3XnMtr66ez4uv7wCfCsCGpl7e/+MPeWfEmVw8fx5Oq3RtCSEGLyk4DnIJdyu6xq0E23oIG+xoUuyYnMVYHZUknGECkV34/Ntx9X6ERtFhNGZhMuVgMuViNGah0ei/9B42g40JWROYkDWBYCxIo7eRBk8DH3d/RDgWJj0/nYyCbHKCw1A85XR1eHBH3Hj0LahGN27FwsrmND7YbcOqTyLXkUSOw/zplwmLQUdKTi4pObmUxeOM6uqkt62FrpZmdtS30OQ1sTKQijbgJ2XXNiqDq0kY9AQd6bRk5bFezUDXqZATMzO80Mp4Yxyj6qerbTf1rSE6VDMvt7fx3NpaMvU6yjKSKSkpYtjwfJIy0lE0h3d3OCGEEOJYsWjRIm644QbWrl3Lk08+ud+dmAGWL1/OokWLeO65545whEIIcXRQFIVTx5dwYnUh9725g7+tqGMWK7lK9yLR2pe5aPsdLDjlFM4Zl7/POvlCCDEYSMFxkNMlazBktmJL7CDhV4m324m3ZRKJO0FnQ5eSTmp6MYoFYoYewpo2gsFGentXkgCMxgxMxhyMpiwM+lT0egeK8sUFOLPOTJmzjDJnGWpCpTPQSYO3gXpPPZsTGyAJ7CnJ2OIO8kLpqO4cgt0x/DE/vfpduDVRav1GtrTbiCUsGDQWcpMdFKbYyXGYybSbcKZl4MjMomj0WEYFA/S2t9Hb3srWbbupb++hPpRCNBhBCQex7tjE8EiEsNGEx5HBsvQMIpgxqGk4k3PItAcp04SYGOjE17mRFn+Mza2prNi+h5jRTJJWS5bFSGG6k5LyYgpLC9EnJR25b6AQQggxhFxzzTWMHj2a8847j4kTJ/LCCy9QWVkJQDwe5+mnn2bRokWsXr2akSNHDnC0Qggx8OwmPT8/rYqzx+Xxwr920OJKoTGRwYpgHiue28g/V+5ts67OTR7oUIUQ4pBIwXGwcxQQKj0NW1oauqgPnbcVPC0kPA2oXV3EOrXEW53EEg7UhAW93owhqRy7YzyqJUY02k042I5Ps4V4IoSiaNDrU9AbUjDoUzAYUve+3k8hUqNoyLRmkmnNZELWBKJqlO5gN52BTjqDnXTqW+gx9KCmJDDHrKREbDiDFqI+lZg7ghqP4KGD+p4o2xsMxLRW0BixGE2k26zkJNvJtttItaaRWpnDyWOPIx7w4u914XP1UN/Uyp76Zrp7PUR8ARRvJyk9LShAVKvHb7KyxWYnmGQnYS7FlF9GSjxCuupnWCyAzt+J2ush1BFke4OZ5Vs2E9VbsWs12HVaMh02cjLSyC7KI7swF1uKE0V7cC3pQgghxLFq2rRprFq1ijPPPJNJkybx0EMP0dTUxIMPPkhLSwsnn3wyS5YsYdasWQMdqhBCHDWqcuxUXHMN/155Mn96Yw1E9s5qXNvQywMP3cfIUeO5aP4cks1f3qEmhBBHAyk4DnIej4fm5mZisRgmkwmjOQ9DcjF6vR4toA10g7cFAj0kfD2ovR7i7gBqvYZ41ISSsKPDCrpyMGpImFTiphhxQ4SAsRmPdgtxXQDFmEBrtKLT29DpbOi0n/75mS+9xkCWNYssa1ZffJ8tQnYFu3BH3LjDHoIhL9FwHG1UR1pYixpUUP29REMQcmtoaYM6xUBMYyCumFA1ekwGA06bmVS7iRSrmbTiUYysPg4LKpqwj6inh7r6Jto7u/D1uDD6/Ni6GlHbVWKKlpDegNtopstsJmwyE3amQpoOLQr2aITkaAhLNIAu4kPxB+nyNNFWlyD6iYaw1khMa8CoNWA3GnAmWXDarKSkpZCSlUlqbjaOVAc6o3Hg/jIIIYQQR4m8vDz+/Oc/M2PGDC6++GIALr/8cq699lrKy8sHODohhDg6aTQKZ0wqZ+bIYu55cxtPfFRPaqKXu3V/wLQlws+3/ZAJ37iMM8fmyrr0Qoij3mEvONbX11NYWHi4b3PMisVi+P1+mpubiUajRKNRYO+aIAaDAYPBgNFoRK/PRmfNR+/Qo9Nq0athdHEf+qgPQ9CL4u9CEwiRCIVRO2MkohrUqA41YULFhqooJDQJEvoYCV0XUV0rIV0EVRchblBJGEAxGVCMJjQmK1q9Ca3BhMZowqSzUGQyM9xahEZjRKMxEEeLLxrCGw3iiXhwh930hnvxBL14Al4C4RChcJhIOIoaBTWsIRzU0NmmpaVZIapqUdESQ0dCMaIoJgxaE2aDmaTkQqyZpZh1YNYm0KsxIkE/RrefqLsXet0ori6UaISYAmG9gYjeSK9BT4fBSMSaQjTZQFRnQFE0KIqCXo1jikUxxcL4oxE6PS50PR0odbsBFT5dm16rgoEERsCo16HXGzCZzFgsFpJsVuzJydhTnSRnZpDkcGK2mtAYDPIDgxBCiCHj7bffZtGiRSxevJisrCzOPvtsHnvsMdra2sjNzR3o8IQQ4qiXbNHzy9OrOXd8Po8/8y8CLhMK8FZgOP98Zj3/XNnAL0+vpjJ7/+vkCiHE0eCwFxwvuugi3nzzTQyG/+6wtX79ekaPHn24bz3kJRIJrFYrhYWFpKeno9VqicfjRCIRwuHw5/6MRCL4/X5isRjRaLTvT1VVAQWwATa0Ji1aiwYtcbSJKLpEDE0sjCYSQROPoURjKNE4SiCGJqZCVEWJqxAH1ODeL3oBUJRPL61VUTQqaOKgjaNoAE0CRQeKFpK0Wmw6HXl6LRqtDq1eR1SxENIYCVlUQqgElThBRSUQUwnF4/hjYfzxMP5YBH8sTCgaIxRN4IuBKwKqW0GNa4mrGlRVSzyhIZHQoWq0qClaFIxoMKOgQUkoaBOgjSfQxgLovB40sRg6NbH3ARQtCUVDSKMjrNMS1+lQtXpUgwlVqyWuaPf+qdGhoPCf0qFWVdElVHSqitYfQuvxo21qQxOPo1VVNAkVzX/+TCTQqAk0iTgaFTQJFS0KWuIoKOgALRp0ioJWCwatFp1Oi1mnR6fToNdp0RuNGAwm9CYDJpPx09dG9CYDOpMZrcGI3qBHZzSi0+vRGU3ojAa0eh0arfawFT3j8TjhcJhwOIxWWtL7heS0f0k++5/ktH99Np9ms/mo/pBq1KhRbN68mTFjxvC3v/2N8847D51Ox4UXXsg555zDpEmTePHFFyktLR3oUIUQ4qhXnZvMndcs5PmPTmDxm2/QiROAlXUurvrdM5wxJo+LT5uJzSRt1kKIo89hLzheeumlXHXVVTzyyCMALF68mGuvvZba2trDfeshLxKJYLVaBzoMIYQQQhwhoVAI41G8fEdJSQkPPvggU6dO/dz41KlTWblyJWeccQYTJ07kySef5JRTThmgKIUQYvDQaBTOnlLJSaOHc9cb2/jnygYSiQS36/7EmE07+P3Wb1My/0bmj845qj+QEkIce754O+L9OP/88wH405/+xOrVq4lEIl96zsUXX4yqqvz1r3/lj3/8Iz/96U9ZunTpV4v2ENXW1jJ79mysVitZWVncdNNNBxVzIpHg17/+NQUFBZjNZiZPnsxHH310BCIWQgghhBi8nn/++X2Kjf+Rn5/PBx98wKmnnsr8+fO5/fbbj3B0QggxeDmtBu48cyQvXHk8M7LCDFdaMCoxdoSS+eE/1/HNP33EjnbvQIcphBB9DmmG429/+1sANm/ezBNPPMHmzZvJzc1l7NixjBkzhmuuuabv2OrqaiZMmMD48eO58MIL+cEPfkBxcTHLli07IrPyXC4XM2fOpLS0lOeff57m5mauu+46AoEAv//97w947m9+8xv+7//+j1//+teMGjWKBx98kDlz5rBu3TqKi4sPe+xCCCGEEEOR0Wjk8ccfp6amhptvvplbb711oEMSQohBpSbfwZ+vOZNnlpey6+3HeF2dAMBHu3uYf/87XD3BysWnTMOkk9mOQoiBdUgFx/z8fADuu+++vrGdO3eydu1a1q5d+7ljX3nlFVavXs3q1at56aWXaG9vR1EUrrrqqn2Kk4fDww8/jMfj4YUXXiAlJQXYu8HKlVdeyS233EJOTs5+zwuFQtx5551cf/31XHvttcDeNqCysjLuvvtuHnroocMa96EwGAyseGcTDSt2YUKDHhWtGgdiqERRtAnQgd5iQGc2oDcbMFoMGC0mjElmDFYjeosJndmIwWhGq9eh1evRaPa/3lZcjeONePFEPHjCHjwRz39fRzxE1b0b1mgUDRadBaveikVrxqRRMCkxNFEvhH0kIgHUiJdE1L/3f8diqLE4qHoScR2gR0kYUOMaomENobBKKJQgFFOIqFpiqo54QgcaHWi0aLVa9Ho9JqMJrUkLBoW4TiWiqoQjKtFwBAIBlIAHg9ePIRjCEImij4bRR8Joo1G00RiaRAzMMbDF0FijaC0xNOYoCUOCuEFLXG8gpjUR1pgJKnZCio2gNomokkQsYUKbMKJJGNBpTGh1VvQ6K2ajFaPJgc1mxWqxYjcbsZn0OMx6zEYdRq1myLc+xONxOjs7+9YZFV+f5LR/ST77n+S0f302n59dE/to9Ic//IFLL730S9u+r7/+empqagDYuHEjnZ2dzJw58whEKIQQg59Wo3D+iaPoGnsnvYtreWZ1EwCXKK9y6brn+Nums8k59aeMz5J/g4UQA+drr+FYUlJCSUkJ55xzzufGi4qKKCoq4qyzzuobq6+v7ytCHm6LFy9m1qxZfcVGgHPPPZcrrriCJUuWcMkll+z3vA8//BCPx8O5557bN2YwGDjzzDN5/vnnD3fYh0RRFPIyDMRzI6RkpmFyJGGwWzDZkjBYLBjNFvSmQ19cPpFI4I/66Qx20hXs6vvyRXwkSKDX6LEb7NiNdlJtqRQbi7HpbVi0CrpEEDXSi9/dhN/TTNDTTjjkJRaKosaMKJgxGB3o9VkomEloDcRVHb5ImF6Pn0AsRjSuEk1APAEJRUGn02N2mkm320l2OLHZ7RjMBuKGOGFNmG6fm7aObno6etG6XOh9QSzBEElBHymhAPpQEF14b1ERnZZEkg4cCXCG0SYF0ZkC6IwhEro4Ua2JUMKBT3XiJwW3kkYAJ9GEHZ2ahFabjNXqJNlmJ8tqwWkxkGo1kG41Yk8yYtEN/QLioYrH4xiNRoxGoxQe+onktH9JPvuf5LR/fTafR/u/MY899hi33XYb3/zmNznnnHOYMGECev2+mxm0tLRQV1fHrFmz+Pjjj3nssceOfLBCCDHIpSUZ+e05ozlvQj6/eHE933ItxaREsYfbuPrp9UwssHH7mRZKs5IHOlQhxDHoKxUcX3zxRRYsWHDI5xUWFlJYWMiZZ575VW57SGpra7n00ks/N+ZwOMjOzj7ghjX/ea+iouJz45WVlTQ0NBAMBjGbzf0f8FeUXV6MLsX2tWaR+CI+2vxtnyswBmNBDFoDqaZU0i3pDEsehsPowG6wY9aZAZVwuINQsJneng309uykPdBLNBwlHtKhJKwYTelYksbgTM9Bg4VYJEw4EKC3u5uu1l584SDhRJCImiCOgtFkwp6STrbDiT05GYfDgdPpJMmWRG+0l0ZvE3XtTWxu24O3J4i2V8XuC2MOeEkKunD63egDIXRRFXRaSDJDWhKadBukutFautFrutDGAxBLEFEtBOKpdDGcTk0BPUoOkXgmBk0yBoOOVEcyhTYTWTYzuU4TaXYzVv3h281ZCCGEGOw+/vhjXnjhBe6//34eeOAB9Ho9ZWVlpKenYzQa6e3tZc+ePXR0dJCSksLFF1/ME088QVZW1kCHLoQQg9b4ohRevHoaT7//HPF37mJR7DQAPmnwcsrvPuAHkzP47pwaLIbDvmesEEL0+Ur/xTnrrLO49dZb+eUvf9nf8fQbl8uFw+HYZ9zpdNLT03PA84xGIyaTaZ/zEokELpfrCwuOHo8Hj8fT97q1tRXYOzMhHo9/haf4cvF4HFVVD+n6UTVKq7+VJm8Tjd5GekI9mHVm0s3ppJpTKXOUkW5Ox26w9xXXVDVCONyG372Ttt5deHt3E/J5iPgVEhEbFmsBjpSpJOXmYkl2gBrH291Nb3srDVt20esPEQRC8QSxRAKtVkeSM43c1FTS0tLIysrC4XCg0+lIJBJ0Bbto8bewvnUT9atbCLcnSOrSkxL0kx7vJSfQjc7vQxsIo00AdhsU5WEotGNM9aAxtxGJ9ZAI7EYb9qONQNjvpJORNOqr6NAUENKkYdIYsBrMpNtMVDjNFKdbybQb8fe6SEtL26eIq6pq/33zjhFf5e+oODDJaf+SfPY/yWn/OhL57M9rn3HGGZxxxhns2bOHt956i1WrVtHa2kooFKKwsJA5c+Zw/PHHM3369P3OfhRCCHHodFoN35peQ8e4v7L2tVpeWNsMQLm6i4Urv8Pf151N8ek/ZnZ1vkygEEIcEV+p4Lho0SJuuOEG1q5dy5NPPondbt/vccuXL2fRokU899xzXyvIweLee+/ltttu22e8u7v7S9cy+qpUVcXtdgOg0ex/0/FEIkFvpJeWQAstwRY6gh0AZJozybHkMDZtLMn65P/+wxOFSDRCh9pMOFJP0L8Dr2s7kUCAiE9HPGzGYMghyTGRjLwcrM5U1HgMb2cHjTu24e3uJBAMEtHoCagJwvEEGp0Oe3IyeU4nqampOBwOTCZT3z1DsRAf131Mk6+Zxu4Wgl0q5l4nKR4t+bEg+ngbWlcXWn8IBS2JZCcUl2AoSCYpI4DO1Io/tIuYv52oN4C+G0xhM24llyb9aHbqR+PVOrCqBpxGHZVWPTnJejIcRlJNOjR9/+iG8PcGvjSn4uAdzN9RcWgkp/1L8tn/JKf960jks7u7u9+vOWzYMBYuXMjChQv7/dpCCCH2L8NmYtF5NZw7LpdbX9jADZ5nSFJCnBx5k7lPzmJyeRu3zR9BYerh38hVCHFs+0oFx2uuuYbRo0dz3nnnMXHiRF544QUqKyuBvZ+QP/300yxatIjVq1czcuTIfg34YDmdzr4fzj/L5XJ9bl3H/Z0XDocJhUKfm+XocrlQFAWn0/mF51533XWf+6G6tbWViRMnkpqaSnp6+ld8kgP7z4yE/c3G80Q81PbUsq1nG76oj1RzKkXpRZxoO5EsaxY6zb7fflWNEAjsxufbhqtzC0G3n5DLiF5bQkZGJY7SbOwZmRhMZuKxGK6WJjp2baO3vY2IRktYo8OrGIgYdej0erJSUykoKCAnJweLxfK5T9PiapwGbwO1PdvY3rwTtcVCUnc6hYFCknWdEN2D2tOB1htG0RrRlo0kuboQR3YURd9ONNaDN7AZn7sRbW8v5oAGXTSFDut0ttomsMeeTjxqIDmuodBmpCLbTkmunQyz4YCf6h0op+LQST77n+S0f0k++5/ktH8diXyGw+F+vV4kEuGVV16hpqaG4uLifr22EEKILzdxWAp/v6CKt7bcw7PL7+CV2DjCGHh3WyezFy3jihOHceWMUkx6+XdaCHF4fOVFHKZNm8aqVas488wzmTRpEg899BBNTU08+OCDtLS0cPLJJ7NkyRJmzZrVn/EetIqKin3WanS73bS2tu6zPuP/ngewbds2Ro8e3TdeW1tLQUHBAddvtNvt+53tqdVqD+svXBqNpu8ecTXOHvcetvZspcnbRKo5lfHZ4xmWPAyrfv+fYqlq9NMi43bcrloCvT6CPTqIppGWNZ3SySUkp2egaDQkEgm83V201G6mq6GeqKoSNVno1hgIR2MYDApZefkUFhaSmZm5T74SiQTtgXa2u7ZT27ENT1sYW2sOue5y0nX1xNXVRN2d4I2gSejRD68ibdxI0vMjhBO7icd24A134umqI+HrxuSHrJAZn/kEatPnsDGRhj6gxRGBaoeZ8uF2inMcpJkPrWXrszkVX5/ks/9JTvuX5LP/SU771+HOZ39f12AwcMEFF/D6669LwVEIIQaITqtw4cyxdE78B+++ugU27F3yS4mFmLf8HP6ycgaVC25i5oi8AY5UCDEUfa1VY/Py8vjzn//MjBkzuPjiiwG4/PLLufbaaykvL++XAL+qefPmcccdd9Db29u3luMzzzyDRqNhzpw5X3jelClTsNvtPPPMM30Fx2g0yvPPP88pp5xyJEL/SlwhF9t7t7PNtY14Ik6po5Szys4iw5LxhefE42E83g24uj/B5+oh1KMn4rXiSK0hd8RwUnLz0X26tlIkGKCjfg+ddbsJeDwYkp0ELHY63R7iHj+ZmZmfWxT+fwVjQTZ1bWJbz3Y6urpIas/A0j6cvHgCm2kbgdguwk1ulJgOfWEZ6bPHk1NiI6bdRTCwkUBMpaNnM6HeRox+ldSACatmOK3Zc3jTXEGjV0+qN86oZDNVo1IpzkzCaZR1oYQQQoiBUlFRQUNDw0CHIYQQx7ysZBO/v2As35zYxc//vYlv9DxPpaaBssjfOeWJSp6qmMD/nVZFfoploEMVQgwhX7ng+Pbbb7No0SIWL15MVlYWZ599No899hhtbW3k5ub2Z4xfyRVXXMHvfvc7FixYwC233EJzczM33ngjV1xxBTk5OX3HnXTSSdTX17Nz504ATCYTN998M7/4xS9IT09n5MiRPPTQQ3R3d3PDDTcM1ON8oVZ/K0ubl+JTfOTYcjgu+zhKHCXotV9cbIvHg7jda+ntXYuvuxdfiwWjoZqcwlLSCoswWZP6jo2EgjRt2UT77p0YLBYUu5OQzkRzz94W84KCAkpLS0lJSdlvm3IkHmF953rWtK4l1qUluSWPYZ4yHAYXlqRN9HY04GvwgsaK4/jTKJ9cg2LpwOvZiD8aIBHV0ubaSqh7D0keDcPD6ejSJ7G15Dg+DjoJ9MZI96gcn2Fl5Pg0hidbZBFkIYQQ4ihw55138sMf/pCqqirGjx8/0OEIIcQx7/iSNBb/8ESefNvC88s7casmtiUK2La1nfd3dHLVjBK+O60Yo066E4QQX99XKjiOGjWKzZs3M2bMGP72t79x3nnnodPpuPDCCznnnHOYNGkSL774IqWlpf0d70FzOp289dZbXH311SxYsACbzcbChQu5/fbbP3dcPB4nFot9buzHP/4xiUSCu+++m87OTmpqanjjjTeO2pagVEMq3yj+BunWA68TGYv5cLvX4HZvINAbwNtswqCtorSmhrT8QpTPLEQfi0Zp2baV1h216C1WzAXDae3uxtPcitFopLy8nOLiYmw2237vFVWjbOraxOq21YS7E6TsKcHmd5LuaEWbspzu1haCu/ygsZE69VQqTxhPhK24vS+jjVlIoKO1ZxP+7j0keXSUhLJRcqfzUfbxbHBpMDZGSFejFOUlU12SRl6Sab9xCCGEEGJg3HTTTXR3dzNp0iRSU1PJzMz83IeCiqKwfv36AYxQCCGOPQadhu/MmUjzxKe5/eVNsHnvhqLhmErSO7fyyMd5jDrzRqZVZA9wpEKIwe4rFRxLSkp48MEHmTp16ufGp06dysqVKznjjDOYOHEiTz755IC2IVdWVrJ06dIDHvPuu+/uM6YoCjfffDM333zzYYqs/2Rbs9Gl60gxffFGONGoB7d7NR7PJsJeFW+zEeLFFFWOJLO4BI3mv59gqfE47bt30rhlI1qdjuRhpTR2duGqqyMpKYkxY8ZQUFDwuQ11PiumxtjavZVV7asIeWOkNhRj7kwlPbkTXcpSulo7UbtCoLWResJ0RpwwBVXfjKvnJRTFiE6fQWPHO/i660hyGygLZePIHsvKwlm812XAtiNEiU5HYXEa1UUppJukbVoIIYQ4Go0bN05mNgohxFEq12HmoW9P4N1tHfzipc2k9qzlO7o3IAI/flzDPyu/yc9OrSLH8cV7GAghxIF8pYLj888//4Xv5efn88EHH7Bw4ULmz5/Pbbfdxq233vqVAxRfXSKRwONZS3fPh8QCWjyNFmIhG3nlVWSXlqPV6T93bFdjPY2b1hOPxUgvKaM7GGbzrt3odDrGjBlDUVERev3+C3xqQmVbzzZWta/CHwiS0T6c9IYULMYEmblraWnaTqQ5AAYnGVOmUzV1CjpLhK7uJUQ9PZhMedS3LaG3exfWXgtlwVyy0svZM242/w6m0rPHR1EowvDKDMYVpWKTaf5CCCHEUe2xxx4b6BCEEEJ8ienlGbz+o1SeXGri5RXHU04dz8WnEtvUxrvbOrnmpFIuO2EYBp3myy8mhBCf8bU2jfkiRqORxx9/nJqaGm6++WYpOA6AaNRDZ9cS/N5mvI1JhN1WckoqyKmoRG/4/KYunq5O9qxdScjnI6ukjKg5ia3btxMIBMjJyaG6unq/u2//hzvsZkn9Enr8LrI8xaTtTEdRtRQUdeHv/Zj6rV2obg2p46czevYMjDYzLteHeFo2YjEPI6aNs2Xno2i6VEp9BeQ68/DVzOQl/XA2N3nI6HJTnWpl0pRs8q3SOi2EEEIIIYQQ/cWk13LZvMk0TnqWX/97NbFtHgCC0ThrlzzOH1YEmHDW9UwpyxzgSIUQg8lhKTj+x/XXX09NTc3hvIX4H4lEAp9vC93dy4gGdHRvc5KcXkD1vIkYzJZ9jm3dUUv9hnVkDCsma+QYdu7aTfuO3ZhMJsaNG0dhYSEazRd/mrXTtZN3Gt/BEnAyfM9xRN2Qnq3FaVxFff0ugs1BMKVRfcEpFIwcgd+/jabm5Wg0RhyO46hvfYmO1rWkdDspIwvLhLl87KxheVsAXWsPZTEoqMnmuLwU9BrZDEYIIYQYTB5//HH++Mc/sn37dkKh0D7vezyeAYhKCCHE/uSnWHjwO1M5c2s7v3h5Mz09PfxS/xhZYRd/+/tu/jHiVm49pZKsZJkEIoT4coe14Ah7d4EWR0Ys5qer6y0CgQbC3Wm46lUKR44hp6xin52bY9Eou1Z9RG9bK0VjJ9ATDLN11Wri8Tj5+flUVlaSlJT0BXfau1bjhy0fsqlzE/meCrRb0zAkGygf1UVn4wds3+Ml2pUguXgk4xechtGuo639ecLhdhzJ44lE3WzacT+hLj9FPfkMSy+iddTZPB2y0bW9l9yuCNZsK5NHZpNrMX5hHEIIIYQ4Oj3xxBNcfvnlXHLJJXz44YdceumlxONxXn75ZRwOBxdddNFAhyiEEGI/TqrM5PiSNB57cxVrPipnFiv5e3wOu9a38PbWdq6dXcbFU4rQa6XNWgjxxQ57wVEcGX7/Tlyud0nEzXj2ZBELaqmefgL2tH13rvb3uti2YjkajYbhU05k6/YddHd3Y7VaqaioIDc394CzGl0hF0vqlhAMh6jsmExwj5bsfB0pxo/ZsbWeYGccNWKmdPY0KqZOIRLtprnlOQx6Jxnp82hsfYGGlmUYux2MDg0nvWQEm0pO5ZXmIKktPQxHIXdCDsdlO9DJrEYhhBBiULrnnnv42c9+xk9+8hMeeeQRrrzySsaOHYvX62XOnDkH/GBTCCHEwDLptVxxyiTqJj7Prc8vZdfuvaUDfyTOn19dju/DvzD57B8xafi+v28KIQRIwXHQi6thPJ5l+P2t6NThtG32k5yayogTJqM37jvVvaNuN7vXrCQ1N5/UkjLWrd+A2+2moKCAyspKLBbLfu7yX9t6trGsaRnpmiyyd48i0BmjuFwh0r2Y2sYgwU4FqyOL8RfOx5mXSyCwh46OxVgsw9HpbGzcfhe9XW2k9xRTqbVgGnMiH6RN5L06F3nNQWz5dqZUZZJtMhyulAkhhBDiCNixYwfHH388Wq0WrVbb1z5ts9n48Y9/zI9+9COuu+66AY5SCCHEgRSlWbnr8vnM2tLOL1/eQnNvkJ/qn+TU4Ee899gyrh3xADd/o5IMm7RZCyE+TwqOg1wgsItItAO9p5KOum7yR4wkt2LEPi3UajzOnnWr6KjbzbCa8ShJdlatXkMwGKS0tJSqqqoDzmqMxqO83/w+213bGaEbQ3y9nXBIpbJGoafuNVobfUR9BgpqxjDq5NnojEY8ng10db+HI3k8wVA7m3b9mWi3iTLvKAqcJpTRp7FYm8/63T0Ut4SwV6QwtyxL1moUQgghhoDk5GTC4TAAubm5bNmyhenTpwMQj8fp7u4ewOiEEEIcLEVRmDsii6mlafzhra0YVsQBWKqO5YV1LSzd2sF1c8r49nGF6KTNWgjxKSk4DnJ6pQDX9lSMWi8jpp2EPT1jn2NCPh/bVrxPLBKmesZsev1BNq1ZQzwep6KigtLS0gMWG/1RPy/veplYPMYkdQbdK+Po9Aqjxido2vIy7S1hVL+JsQtOI3/0SBKJBN09y/G415KWdhI+3za27Pobhq4caiKZOAoyiIw8i3/7tNTv6qakI4xtZBpzitPRKlJsFEIIIYaC8ePHs2HDBubOncv8+fO57bbbUFUVvV7Pr3/9a4477riBDlEIIcQhsBh0XD9vJLvGv8jtTz/Jk005AHjDMX758iYaP3yWb5zzHcYVpQ1wpEKIo4EUHAe5QG8vWp2JUTPnYLJa933f42bTO29iS0mlcup06hub2LlzJ4lEgsrKSoqLi/eZDflZwViQl3e9jAEDVa7jaNvuJ8lppKIywK41r9DZmUD1G6k5cz551SNQ1SidXW8SDDaSmXk6ve41bNn9OMbODMbEnSSNGIm35GSe6/ThbnBR0hXBXpPJzIIUNFJsFEIIIYaMm2++mfr6egB++ctfUl9fz49+9CNUVWXChAn88Y9/HOAIhRBCfBXD05O45QffpWZjG796ZQttnhBna5fxc/8jrPrrv/hp1QNce+pYUpNk808hjmVScBzkUnLzGKY3oDftu2ZGOOBny7K3cWRmMXzCZLZu3UpjYyOKolBVVUVhYeEBrx2JR3hl9ysQ15DXNIq2Zj+puUmUDutm6yeL6fYYiHtijDljb7ExHg/Q3v4Ksbif7Kwz6e5ZztY9T6DryKQmlkpSzYl0FkznudYeaPRR4I6SMj6baTmOAxY9hRBCCDE47Nmzh2HDhgFw3HHH9c1idDgc/Pvf/yYcDhMOh7Hb7QMZphBCiK9JURS+MSqb6eXpPPDWDkpW7P0QqTdh5Yl1PbxU+y43nlzBBRML0MqSWUIck2SBhSFgf8W6aDjElvffwWyzU1gznvXr19PY2IhOp2PUqFFfWmyMqlFe3f0q0ViM4pYxuBpD5JY5KC1uZfPHr9EdsBLviVMz/1TyqkcQjbpoafkXCRLkZJ9Nd/f7bN3zFEpHJmOiGdhGjKcu90Seau7CXO8j0xcja6IUG4UQQoihZPjw4Zxwwgk89NBDdHV17fO+0WiUYqMQQgwhVqOOm0+pZPRVT3JXyi/4RexiADyhGD97cRM/fOBJ1je4BjZIIcSAkILjEBSPRdm6/D20Wh3DJ05h3fr1dHZ2YjAYGDVqFDk5OQc+X43zRt0b+CN+Kl0TcdWFya9wUpC+i40fLaU3mkK8I0zNqaeQP3ok8XiQ1rYX0etTyMyYT3vHEmob/gldGYyNZGEvLaehaC7PNXeTU+cnKRSnYFIuUzKl2CiEEEIMJffffz+JRIKrrrqKnJwcvvGNb/DUU08RCAQGOjQhhBCHUVmmjRuv/hE3njeHdNveVup8pZ27XT8i9OeT+c0/38TljwxwlEKII0kKjkOMqsbZvmI5sUiEiuOnsW37drq7uzEajdTU1JCZmXng8xMqSxuW0h3spiZ6PF3bQqTlJ5Fj28T6j5fhTmQSa/Ey+hsnk18zikRCpaPjNbQaE2lps2lvf5VtDc8Q78xgTDiP5GF5uCsW8O9WFzn1flChbHIe41NtRygjQgghhDhSrr76aj744AP27NnDbbfdRmNjIxdeeCGZmZlceOGFvPbaa8Tj8YEOUwghxGGgKAqn1+Ty9vXTuPT4YZyp/QCTEqVEaebJdT3MvOdd/vlJA6qaGOhQhRBHgBQch5BEIsGuVR/j73VRdeIMmtvaaG5uxmAwUFNTQ2pq6pee/17jezT7mpmsn0HHhiBWp5HiwlY2rl+FV5dHvKGHUfPmUDBmNAA9Pe8TifaQnj6Xjo5X2NH0PLGuNMaEhuHMdRAbeS4vdvnRNfnRJRKMPC6XUcn7bm4jhBBCiKGjsLCQm2++mQ0bNrBhwwauueYaVqxYwamnnkp2djY/+MEP+OCDDwY6TCGEEIeBzaTn56dVcfKV93K341Z+Gr0UD0m4AlF+8vxGLn7wdTY19Q50mEKIw0wKjkNI/Ya19LQ0Uzl1Br5giB07dqDRaKiqqsLhcBzw3EQiwYctH7LLvYsTbbNoWxNEq9dSOVrHrnXv4FMdxHa3M+rk2RSOGwOA17sFj2cDGemn0NW9jO3N/ybU6aAmVE5qlhZqzuMNT4zeVh+5nhjDxuZQabMcgUwIIYQQ4mhRXV3N7bffzq5du1ixYgXz58/n4YcfZtq0aQMd2iG55ZZbGDZsGIqisHPnzoN+TwghjlWVOclc/8MbOems75JqNQCgQeWmzp/Q+8gp3P/PV3EHogMcpRDicJGC4xDRsn0rbTu3U3n8NBSDkc2bNxOPxykoKCA7O/tLz1/VvorN3ZuZkTabjjUR4lGV8vEpdG19mR6/nkijh5FzT6Jw/FgAQuE2urreJjV1OpFoDzubniPYmURNuIa01DBKzfmsjhrZ1u5heGsQpSqF8alJhzsNQgghhDgKxWIxXnnlFR544AH++c9/kkgkqK6uHuiwDsmpp57KsmXL9rvx3oHeE0KIY5miKJw9Lo+3b5jORZMLmatdxUhNHSdoNvPJho3MvOddnlnVKG3WQgxBUnAcAlzNjTRsWk/Z5BOwOFPYuHEjwWAQp9NJWVnZl27Msrl7M6vbV3NS9mxc6xKEvFEKR6ah7XmP+s4A/h6FgtGjKJowHoBYzEd7+yvYbFWYzXnsbnwcX0+EEaHxZDh60NScTb3OybttvZQ0BvHlWJk1LF02iBFCCCGOMe+++y7f+973yMrKYv78+axYsYIf/vCHbNy4kXXr1n2ta+/cuZMrrriCmpoadDrdFxYwa2trmT17NlarlaysLG666SYikUPfuGDKlCnk5+cf8ntCCCEg2aznl6dX84PvX8tvbT/h0dhcPlBH0u2PcOOzGzj/4eVsaXYPdJhCiH6kG+gAxNfjam2haeM6qk+YhjM7l82bN+N2uzEajVRXV6PTHfhb7A67+bD5Q47POoHAJh3uTi9ZxQ6yHPWsXlZLMJyC3awwau4sAFQ1RkfHa+h1yaSknEB9499p79pBjns8eckdaEaegTspj5ebuihoDRIyaDihOguLVmrbQgghxLFg9erVPPXUU/zrX/+ipaWFtLQ0zj//fC644AKmTJnSb/fZvHkzr776KpMmTUJVVVRV3ecYl8vFzJkzKS0t5fnnn6e5uZnrrruOQCDA73//+36LRQghxMGpznNQde1P+NeqRpyv1+L6tKV6essjdP2xjt+NvJWLTzsJu0k/wJEKIb4uKTgOcmabjZyqkWQMG05DQwNtbW1oNBrKy8tJSjpwC3MikeDdxnfJtGSi251CW7MbZ5aV0ioNm5csIajJQOl0Mebb30RrNJJIJOjufpdYzEtOzvm4XJ9Q3/YWBlcx5fo4morZRNMqeKGli6TOEGZflLTjcsk3G49MMoQQQggxoMrKyti1axdWq5XTTz+dCy64gDlz5qDVavv9Xqeddhqnn346AJdccgmrVq3a55iHH34Yj8fDCy+8QEpKCrC3vfvKK6/klltuIScnB4CJEyeye/fufc4vKChgzZo1/R67EEIcyzQahfMnFjB3RBZ3vbGN5StXsVD7KgYlztb1f+ek7TpuPaWS02typEtOiEFMpp0NcqYkG6kFRfT09LBr1y4URSEnJ+eg1m3c0rOFjkAHpaHRdNR5sdgNVExIo/njZ+lRbfha/RRPGk9KYQEAXu9GfL5aMjNPJRp1UdfyLIFeHVXRXEx5+STyJrKk202wN0R+S5BYZSqTUm2HOwVCCCGEOEpUVFTw5JNP0t7ezuOPP868efMOS7ERQKP58h9jFy9ezKxZs/qKjQDnnnsuqqqyZMmSvrFPPvmErq6ufb6k2CiEEIeP02rgzjNH8rvvL+B3th+xUS3igdiZdHrD/OjpdZz/yEdsb/cOdJhCiK9IZjgOAeFwmLq6OhRFwWq1HtS6jd6IlxUtKxibPJ6uj8NoNAplE7MI73qDuq4g3nAaqbY4FdNPBCAYbKar+z3S02ej0yWzp+5hOnqayPdMIcMeRKm4gFW+ENt7/IyrC9KQb+WMwlQ08omUEEIIccx46aWXBjqEz6mtreXSSy/93JjD4SA7O5va2toBigo8Hg8ej6fvdWtrKwDxeJx4PH5Y7hmPx1FV9bBd/1gj+ex/ktP+NZjyOTLXTtUPb+HpTy5Et3QnBPe2WSv1y2l88BaWjL6Fi+adiNU4sOWLwZTTwUDy2f+ORE4P5dpScBzk4vE4O3fuRKvVotFoGDFixJeu2/ifVuo0Uxqmpgxc/l7KJ2VjjW5n5datRC0lGBrrGXvpxWj0euLxIB0dr5JsryHJWk57x6s0dq/E6Kqg1BhDUzKZep2T91p6GNsSpsWiYWpVJlbd4ZnRIIQQQghxMFwuFw6HY59xp9NJT0/PIV3rpptu4qmnnqKtrY2pU6dSVFTEihUrvvS9/bn33nu57bbb9hnv7u7GaDw8S9GoqorbvXdDhoOZHSoOTPLZ/ySn/Wsw5nP2cAvjsyt56INmFm9u55e6RynTNJOy/iectOUOfjgtn5NKnQPWZj0Yc3o0k3z2vyOR0+7u7oM+VgqOg1xHRwehUAiTyURVVdWXrtsIUNtTS6u/lTnJp7J7t5vkDAvZuTE2v/E60eRCfFubGT31BGxZmQC4XB+h1VpISTken28rje1vEHCZGK8WYMyIES84niVtbkq6IwSCUfImZlMo6zYKIYQQYgi56667uOuuuw75vf257rrrWLhwYd/r1tZWJk6cSGpqKunp6V871v35z4yEtLS0w9bmfiyRfPY/yWn/Gqz5TAfuK8zh23XdvPzs2VwUeJT/F/0WnZEYP31tD6+XePi/UyspTv/y33v722DN6dFK8tn/jkROw+HwQR8rBcdB7j9/kbKyssjKyvrS430RHx+0fMDE9Il0rY0AMGykg5YVT9KrJNPToZKVkU7x8ccBEIl04/FuIitzPrGYh+bWF+lwdVDgm016UjtK+fmsC8QI9IRIbg3SOdLJPFm3UQghhBBHAafT2fdJ/2e5XK7Pret4pNntdux2+z7jWq32sP7SpdFoDvs9jiWSz/4nOe1fgzmfE4dnMPaGX/DPDy9g+9J6CMcAWL+zkfUP3cFb467lonlTsRiObEljMOf0aCT57H+HO6eHcl2ZtzrIdXd3o9PpKC0t/dKp5YlEgvea3iPVlIqzJw93V5CMQhv63hXs7goSNBVg6e5k7Omnonw6/banZzkWcyFmcx7tHa/R3LsFS+9IysxBNPkjCTqG8WGPl/zWII25Zk4uSJN1G4UQQghxVKioqNhnrUa3201raysVFRUDFJUQQoiDodNquHBqBW/fMJ0zx+QCcJ3uGc7WvMf5a77F/Hve4I3NbSQSiQGOVAixP1JwHOSysrKorKw8qCrzdtd2mrxNHOc4nqatLvRGLYWlRnZtXocmbTihTbVUz5qJKcUJQCBQTyDYQErKCbhcH9PS9SFBVxIjKMGQFIOSk1jR60PrCqOLqYwrT8cm6zYKIYQQ4igxb948li5dSm9vb9/YM888g0ajYc6cOQMXmBBCiIOWbjNy73k1PP3d43DZSnElkvhbfA473fC9x1fzncdWUt/tH+gwhRD/QwqOQ8DBFBsD0QDLm5czMWsiru0xIqEYeeVOIs3LccVNdOzpJq+ogNyxNQAkEio9Pe9jt48EErR1vEF7bw9F/mmkWupRSk/CpRhZ6/JR1BYiVGinIsl8eB9UCCGEEOJTgUCAZ599lmeffZb6+no8Hk/f687OTgCuuOIKbDYbCxYsYMmSJTz66KPceOONXHHFFeTk5AzwEwghhDgUk4pTufqGX/HKtJf5u+aMvvF3t3Xy5H0/5pFX3icUlR2PhThaDOmC48svv8zo0aMxmUyUlZXx6KOPfuk5dXV1KIqyz9dxxx13BCI+PBKJBMualuEwOsiLDqezwYvFbiC3IMGe7VsIx2wk+/2MPnVeX1u217uJWNyP0zEJl+sjmnu3Ye8dS6k1iDY9H7JG8l6Pl9TeKGES1AxLkVZqIYQQQhwxHR0dnHPOOZxzzjm8++67NDY29r3evHkzsHcNx7feegudTseCBQv4yU9+wsKFC7n33nsHOHohhBBfhV6r4dszx/Lq9XM5dVQ2ANM167hF+zjfWnkW37vn77y1tX2AoxRCwBDeNGb58uWcccYZLFy4kPvuu4+3336byy67DJvNxtlnn/2l599xxx3MmDGj77XNNng3QtnVu4s6Tx1nFZ9Nw3IXAPlVqbi3vYE7YSXY7qVi+lT0nz5jPB7G5foIp2Mi8XiQpo4lhN1manQVGIxboGwhjeEoO9wBxrWG6C6xU2o1DeQjCiGEEOIYU1RUdFDrdlVWVrJ06dIjEJEQQogjJSvZxO8vGMs3J3bxzrOrcQct7Elks6w3jff+topZlZn832lV5KdYBjpUIY5ZQ7bg+Ktf/YpJkybx8MMPAzBjxgx27drFz3/+84MqOJaWlg7qWY3/EVWjvN/8PhOyJhBoUPC5QySnm8lMC7L64x1EErkk630UjRndd06veyUajRG7fRQdHa/T7Wkh0z+dlOTtKMNOIGF28l5rD0W9MVxGhfGFqV+6YY0QQgghhBBCCNGfji9JY8INP+Wpt+fxz/c3kfi0iXPp1naiO9/hxCkn8K1ZEzHpZa8BIY60IdlSHQ6HeeeddzjnnHM+N37++eezdetW6urqBiawAVDbXYuCQqmxkpbtLjQahcLqVDo3vYVP6yDQ7qFo0gQ0BgMA0agbj3stKSknEI26ael8m5jXynCdAa3NBvmTqPWH6PSGyGoNkhhmp8hsGOCnFEIIIYQQQghxLDLoNFwyZwJ/uf585lVnAeDEw32a+zj3ozP4xd338t72zgGOUohjz5AsOO7atYtoNEpFRcXnxisrKwGora390mt8//vfR6vVkpGRweWXX05PT89hifVwUhMq6zvXMzJtJE2be4lGVNILbNiN3dTV1RHRpGJPJBg2fkzfOT09yzGZcrBYinG5PqbL20y6bwQOXRuUzyOKhmUuL2U9MVqsWiblp8jsRiGEEEIIIYQQAyrXYeYPF47jb5dOZKajAx1xdMRZ5s7g4r9+whWPr6a5NzjQYQpxzBiSLdUu1951Ch0Ox+fGnU4nwAGLh0ajke9///vMnTsXh8PBxx9/zO23386qVav45JNP0Ov1X3iux+PB4/H0vW5tbQUgHo8Tjx+e3bLi8Tiqqu73+jt7dxKIBsgI5FPX7EKn15BX4aBtzVME9an4mrqoHjcGdDri8TihUDM+3w6yc84nFO6itfNtwh49RYqVRFY28aRsVvZ6ifgiJLcHCI10kqPXHrZnGygHyqk4dJLP/ic57V+Sz/4nOe1fRyKf8r0SQggxVEwrS+e4G67iiTcnsvLDt2ghDYDXN7exbftWLppayrdmTsCgG5Lzr4Q4agyagqPb7e4r4B1IcXHx17pPdnY2Dz30UN/radOmMWLECE499VReeOEFzj333C8899577+W2227bZ7y7uxuj0fi14voiqqridrsB0Gj++x/MRCLB+03vk23MZveadkKBOBnFVvxtG9ixu45eczkGXyP2ogI6OztJJBK4ehej0+XicYPbvZRWVx223jGYtM30WMbga2/n7Z4AY1rCbDcmGGeI09k59Kamf1FOxVcj+ex/ktP+Jfnsf5LT/nUk8tnd3X1YriuEEEIMBKNOy2XzJjNn0mhiL29h6dZ2IMEv+CNjPtjJPWsu58Szr+H4krSBDlWIIWvQFByfeeYZLr/88i89buvWrX0zGf/zw/l//GfmY0pKyiHd+5RTTsFqtbJ69eoDFhyvu+46Fi5c2Pe6tbWViRMnkpqaSnp6+iHd82D9Z0ZCWloaWu1/F8Jt8jYR1UUZYR1HQ8SDM91K1fhcOj54C5z5xJu9lE2eSGZBAQA+31aCwSi5eXNR1TDt3RuIhYyU6TKxZEewlExgdY+XbI2KMxglWpNKdU7qYXmmgfZFORVfjeSz/0lO+5fks/9JTvvXkchnOBw+LNcVQgghBlJ+ioU/Xzyet2vb+eOLSxkX3E6SEqLNE+Vbf/6YU0dl89NvVJGVbBroUIUYcgZNwXHhwoWfK+YdSDgcRq/XU1tby9y5c/vG/7N24/+u7dhf7HY7drt9n3GtVntYf+HSaDT73GND9wbKUsvw71FR4wkKq9LQeetoaOshmjoaW2Ar5ZMnodVqUdUIve6PcKZMwmiw097+Ot2BFpL9o0g3d6MtnEWXCpt9IaZ2RNmWYuTkbOeQ/iVyfzkVX53ks/9JTvuX5LP/SU771+HOp3yfhBBCDGUzKzKZcv35/P2NQoIfP8a/1eMBeGVDK8tqW7nhxCy+OWMMeq10ZgjRX4bk/5uMRiMzZszg2Wef/dz4008/TWVlJUVFRYd0vVdeeQW/38+ECRP6McrDpzPQSZO3iTLDCLqbfCQ5jKTnW2le9yaqLRtPXQt5Y2rQJSUB4PFsQEFDsr2GaNRFZ88H+L0xhqk5aJP0kDWS93o8FIQh4omQUuwg3fDFa1kKIYQQQgghhBBHE5Ney3dPPYHTf3g/08sz+sbPji/mtPfn8/u7f8rHu2WJESH6y6CZ4XiofvaznzF9+nSuvPJKzj33XN555x2eeuopnn766c8dp9PpuPjii/nLX/4CwPXXX49Go+G4447D4XDwySefcOeddzJ+/HgWLFgwAE9y6NZ1rqPQXki0VUsikSBreDJqx2YaOjxEssuxutdTNnkisHetR493I8nJNWg0ejq7PqYr0ESSt5osswslbwwdMdjtDzGnNcS6NAPzM/adxSmEEEIIIYQQQhztitKsPHrJBJZsaefOl9ZzRehlnIqPIt86znvkI84Yk8vNp1SQYZM2ayG+jiE5wxHghBNO4Pnnn2f58uXMnTuXp556ij//+c+cc845nzvuf3eQrqqq4u233+bSSy/l5JNP5o9//COXXXYZb731Fjrd0V+fdYfd7HTtpNoxitbdvWj1GjLyrDStexfFWYBrVyM5I0eg/7T1OxhsIB7zkZRUSTTqosf1EV5PhCJ1ODpjAHLHscEXJCeg0huIkTXciVN/9OdBCCGEEEIIIYTYH0VRmDsii9euP4nnx/2Nf6vHc0f0AgBeWNvMSXe/x9/e304srg5wpEIMXkO6cjR//nzmz59/wGMSicTnXl922WVcdtllhzOsw2p953oyrZlou6xEQz4yi5PR9m6iscdPLH801u6PqTj3jL7jvd5NWK2laLVmunuW0eVvxuKrIMfiQ8muIqpPYounnRFtIXZnGDgr1TaATyeEEEIIIYQQQvQPi0HHFfOns2vyeCpe2kznji4AsiN7OHnpd3lgxcVMO/caxhXJbtZCHKohO8PxWBSMBantqaUmrYb2Og8okFFgpXH9MnSpw+je1UD2iEoMn+7iHYv58Qd2Y7NVfzq78RN6vQEKYiMxaFshbwI7AiFUX4REMEbBMCd2nSwqL4QQQgghhBBi6BiensTfL53IgxeMJctu4qe6J8hUejnP/wQXPvweNz6zni5feKDDFGJQkYLjELKpaxNJ+iSSgxl4u0PYUkzYta00u4LEkguwtLZSPmVy3/E+31b0OjsmUy69vSvpDrRi9A8nLymIkloEtiw2eANke+K0J+uZ5EwauIcTQgghhBBCCCEOE0VR+MaobN66fhqbxt7GUnUcv4x+myAmnlndxOxF7/PsunbiauLLLyaEkILjUBGNR9nYtZGajBo66jwAZBTZ6dm9loQljY7tdWSXl2JO3zsVPJFI4PVuwmYbQSzmxtW7mh6vm/zIOIxKPeRPpCcao8EXIr0ngj3PRpLMbhRCCCGEEEIIMYRZjTquPOMkCn/wb9yFc/vGQ6EgEz78Lg/cdztr63sGMEIhBgcpOA4Rta5aNGjI1xXR3exDZ9CSkWOgrXEPMXMapuZGyqdO6Ts+FGoiFvNis1Xhdq+lO9CCzldAoVVBY3NCagkbvUHSAyoBDZRkyOxGIYQQQgghhBDHhtJMG//47mTuP7+GDJuRhdrXmKSp5TrfIm7+49Pc/PwGXP7IQIcpxFFrSG8ac6xQEyrru9YzKn0U3Q0BEiqkFyRB7zZ6whq6fX6KhxdjyczsO8fr3YzFOhyNxoTbs55ubydF4VkYDTshbxpxYJM3wLCeMD1pRkqs5oF7QCGEEEIIIYQQ4ghTFIXTa3KZWZHB316OsmzjVprUVGrVAmo/aWTxpjZ+fHIF543PR6NRBjpcIY4qMsNxCKj31ROOhylPrqCj/tN26kIbHTvWopoc6FtbKZ1yXN/x8XgQv38HtqQRBIONdLq3oPizKbBa0BoVyBzJrkCYSDCG3RMjI8+OXv7jKYQQQgghhBDiGGQz6fn+mXNQzn6Ml3Ku7RvvDUTpeOn/uHfRnWxs7B24AIU4CknBcZBLJBJs7t1MVWoV3tYo4UCMpBQjDnuE9rY2oqqVZLsNW35e3zk+31a0uiTM5gJ8vq14Qm6yQjVY9bsguwZ0BjZ6AxT447SaNVSkWAfuAYUQQgghhBBCiKNAaYaVJ757PPecM5q0JAMjld1crX2BG7y/4W8P38HPXtyEOxAd6DCFOCpIwXGQa/I10RvppTq1mvY9bhRFIaPQTqBhHZ6EGZ8rRHpFGYqyd4ZiIpHA492EzVZNIhGnp3c1EZ9CliEdDb2QOw5PLM6eQJj0zjCRDDP5JsPAPqQQQgghhBBCCHEUUBSFs8bl8db105lVU8KKRBV71Exejk/m8Y/qmXnPuzyzqhFVdrMWxzgpOA5yRq2RsaljUd06vN1hdAYN6XlJtO/aiCYpHUN3N0UjqvqOD4dbiUbd2JIqCQbr6PHXYwoVk27oQMmoApOdTd4gzrCKGolTkJfcV6wUQgghhBBCCCEEJJv1/PC8eSR/9zVuy7iXMHsn6nT7I7z8/OPcc/9v2dLsHuAohRg4UnAc5DIsGVQ5quio96LRKKTmJKGPtNPe4yEUt2B3JGPNye473uPdiMVShE6XhNe7FV/QS3q4AJ3aDHkTUBMJNvoCFLjjNNt1VNktA/h0QgghhBBCCCHE0as6z8Ffr/wGvzlrJE6LHhNh7tD/hRvdt/P+H37AbS9vxhOSNmtx7JGC4xAQCcbpafGRANILbbj3rCGkT8bX0UtGRXnfDMV4PITftwO7rRpVDeNyryUSUMjS6tCkFoA9m/pgBH84hrMzhD7bSqpBNjIXQgghhBBCCCG+iEajcN6EAt65YTqXjHXQlEgnnlB4MT6FRz+o46R73uPFtc0kEtJmLY4dUnAcAlwtQVQVkhxGklP1tNXVorFnYejuprC6su84n38bWq0Fs7kQv383rkAzxsAwnAYPZOxtu97gCzAslKBbk6Ak0zZQjySEEEIIIYQQQgwqDouBn5w7E/PCxdzgXMTWRCEAnd4w/+/p97jrgUVsa/MOcJRCHBlScBzk4nEVV0sQhb2zG9WunXR6Y/gjRpKdyVgyM4G9m8V4PZuw2apQFA1e31Z8IS8ZkTx0+gCkleCPx9npD5PdFaHNaaDcZh7YhxNCCCGEEEIIIQaZ0QVO7r7mEv7fgmqSzXoAbtY/xY9dt7H9wXO4/dUt+MKxAY5SiMNLCo6DnKvFTzSkotNrSMtLonvXGlRrGoG2TjKqKvraqcPhNiLRbmy2EcTjAdzuDYT9GjJ1FjQpOWBKZosvhC2WQO+JkJxnw6rVDvDTCSGEEEIIIYQQg49Wo3DhcYW8ff00vjk2g3ylA4D1ajF/en8PJ93zLi+vb5E2azFkScFxkHNkWbEk63FmWzFoIrQ31aNJzsHU2UlR1X93p/Z6N2ExF6HT2fD7d9IbasMUKiLF6IO0MhKJBBu8AUr9CRpNGspTrAP4VEIIIYQQQgghxOCXmmTkznMnoL10MXdYf8Jj8bkAtHvCXP2PNfzyoUfZ2eEb4CiF6H9ScBzkEvEEkUCc9IIkIq0b6Yno8Aa12NNSMWWkA6CqYXz+7dhs1QB4vVvxBL2kh4eh07ggtZTmcJTeSIzUjiC9aUZKLKaBfCwhhBBCCCGEEGLIGFeUyk3X/ZifzR+NzbR3c9bTNCv4v85r2f3707n31bUEItJmLYYOKTgOcr0dAfRmLbZUE50716O1Z+NvaiHzM7tT+3zb0GiMWCxFxGJeej2bCQc0ZOqsKHYnJGWw0RugIKYQCMfJzrWj1ygD/GRCCCGEEEIIIcTQodNquHhKEW9fP50zx+TyDe3HAJgTIR54v5lZ97zH65tapc1aDAlScBzk0gtsFI1xoAR7aG/vAGcu5u5OCqs/2069GVvS3s1ifL5teMJdmEJFpJr9KGnlhNQE2/whhrtj7EnSUGmXzWKEEEIIIYQQQojDId1m5N7zanBe8g8Wma/iF7GLAYUWd4grnljDtX96jT1d/oEOU4ivRQqOQ4DOoCHYsA43VjzeOMnpaRjTUgGIxbyEwx0kJVUA4PXV4gl5SY+UoEu0Q1optf4QBhVMHUEimWbyTYaBfBwhhBBCCCGEEGLImzQ8natu+BXfPGUWSca9bdZZdHN783fY+sCZPPzKB4Si8QGOUoivRgqOQ0EiQceezZjT8gnU1ZFd+d/dqQOBOnQ6G3q9k0ikG4932952aq0NxWKG5Hx2B8MUh6FdSVCcaes7VwghhBBCCCGEEIePXqth4dRi3rp+GvNH53CR7k2sSpjjlQ08sryBWfe+x9It7QMdphCHTDfQAYivT+Npot3lQy3Pw9yzk/wRlX3vBYMNmC2FKIqCz78dT6QXU6jg03bqEuKKQkMwzOSuMFuTdZxmswzgkwghhBBCCCGEEMeeTLuJB745hg+33819z+XQ6IUe7PS4giz8+ypOLkvm1gVjyU+R39nF4CAzHIeAUMtmQvoU3N1eHJkZGFP3tlMnEirBYCNmcwGJRAKfdyuekJu0cAW6RAukldEcihALxzH0hjDmWEk1SA1aCCGEEEIIIYQYCFPKMrnyxjspnftdzHotAAoql9f9iHX3ncWfXlshbdZiUJCC42AXj+JqrSMpqwj/7j1kV1b0vRUOt6EmophNBYQj7XgDdYT8GrJ0TjRGBZzDqA9GyAzEaTFqKE9JGsAHEUIIIYQQQgghhEGn4Yppw3nr+mmcMjKLeZpPGKfZwWmaD1mxfClz71vGO9s6BjpMIQ5IprMNcmrHdrqCCoakLKyuTeRX/bedOhCsx2TMRKs10tu7HU/EjSlUQIrFj+IcBjoDdSEPyd4YXUk6pieZBvBJhBBCCCGEEEII8R85DjMPfWsc79Xm8LvnA+QGa3lbHQvdAb7z6ErmVmXw8/nV5DrMAx2qEPuQGY6DnCuRRMQxHHd7N46sDPQpzr73gsEGzOZCEgl17+7UQTfpkUr0iWZIK8Ufj9MejGB1R3BkWLBqtQP4JEIIIYQQR6dbbrmFYcOGoSgKO3fu3O8xv/rVrw74vhBCCPFVTavI5rs33UXLjPsw6f9bxinf9jAr7z2Xv77xMZGYOoARCrEvKTgOckZ7Kuklowjs3k3OZ2Y3xuMhwuF2zOYCQqFmAsEmgn6FTF06Gm0QUktoCEYwhFUUNUFumnUAn0IIIYQQ4uh16qmnsmzZMgoLC/f7/oYNG/jggw8oKCg4wpEJIYQ4Vhh1Wq6aWcqb105jdlUmeUoHP9D9mwWaZajvL+Lk+5exfEfXQIcpRB8pOA5ySUlJ+FSFJHcveZXlfePBYAMajRGjMfPT3am9mML5pFoDKMm5YEyiPhghI6jSadGSbzYO4FMIIYQQQhy8nTt3csUVV1BTU4NOp6O6unq/x9XW1jJ79mysVitZWVncdNNNRCKRQ77flClTyM/P3+97sViMK6+8kgcffBBFUQ752kIIIcShyE+x8KeLxvOrb8/mT4ZvUadm8kDsDHZ3+rnwLx/zg6fW0OoODnSYQkjBcSjo2LkbR3YWOudn26nrMZv3/mDs823DHeolIzICPU2QVkYikWBPMEyyJ0o02UCG7E4thBBCiEFi8+bNvPrqq5SUlFBVVbXfY1wuFzNnziQSifD8889zxx138Mgjj3Ddddf1ayx33nknZ5xxBsOHD+/X6wohhBAHMqMqj4U33cu/p75ISGfvG2/ZuIwP7v0mf1u6imhc2qzFwBmyBcc333yTCy64gOHDh6MoClddddVBn+t2u7nssstISUnBZrNx9tln09raehij/er88TiRujpyPrM7dSKRIBhswGIuJBLpJhBsJuCHDF0umkQvpJXRFY3hDUexeaI40q3yibwQQgghBo3TTjuNxsZGnn32WcaOHbvfYx5++GE8Hg8vvPACc+fO5dJLL+Wuu+7i4YcfpqWlpe+4iRMnkpaWts/XF133szZu3Mgbb7zBj370o/56NCGEEOKgmfRafji7ijevPZEZ5eloUPmV/lHOVt6hatn3OeX+91mxq3ugwxTHqCFbcHz99ddZv34906ZNw+FwHNK55513HkuWLOHhhx/mySefZNu2bcybN49YLHZ4gv0adja1YvO6ya4o6xuLRruJxXx96zd6wj2YQwWkJvlRktLBkkJ9MEJKBEIayHHKjlZCCCGEGDw0mi//EXbx4sXMmjWLlJSUvrFzzz0XVVVZsmRJ39gnn3xCV1fXPl9r1qz50nssX76cXbt2MXz4cIqKimhqamL69Ol88MEHX+3BhBBCiK+gMNXKXy+ZwB+/VcP7hhMIJIwsip3Njg4f3/zTR/zon2vp8IYGOkxxjBmyfbS//e1vueeeewB4++23D/q8FStW8MYbb/DGG28wZ84cAMrLy6msrOT555/n3HPPPSzxflWl4QDmonx0ycl9Y8FgAwZDKjqdjWCwAU/IRUZ0OnqaIbUEgLpgmIxgnE6LltEWWb9RCCGEEENLbW0tl1566efGHA4H2dnZ1NbW9ss9vv/97/P973+/73VRURFLly6lpKTkgOd5PB48Hk/f6/900sTjceLxeL/E9r/i8Tiqqh626x9rJJ/9T3LavySf/W8w5HRmVQ6TSxbx56XfZtVHPUACgCXrdjNy670Ypl3LuSeMRKcd+LlngyGfg82RyOmhXHvIFhwP5pPv/Vm8eDEOh4PZs2f3jZWXl1NTU8Nrr7121BUcLWVl+8zgDATqMZsLSCQSeHy1hEJx0rR5aOPLIG0uMTVBYyjCmN4I7hQjafoh+9dACCGEEMcol8u13y4Xp9NJT0/PIV3rpptu4qmnnqKtrY2pU6dSVFTEihUrvnJs9957L7fddts+493d3RiNh+eDYFVVcbvdwFf/OVn8l+Sz/0lO+5fks/8NppyeO6GI40qyuPudBj5p8HKN7gUuU16m/b1lnLX6D1x9Uhmjc5IGNMbBlM/B4kjktLv74Fv0pdL0P2praykvL99nTcPKysp++zS8v302VlWNEgo1k5w8lmi0B0+gCV0og9SkCIo+Cew5NIciqBEViz+Gs9wp6zcKIYQQQhzAXXfdxV133fWlx9XV1R3U9a677joWLlzY97q1tZWJEyeSmppKenr6Vw3zgP4zIyEtLQ2tVntY7nEskXz2P8lp/5J89r/BltP0dHiqNI/XN7dT/9JrhGJ6XoifwKbuBN/71zbOGpvLTXPLSEsamI7HwZbPweBI5DQcDh/0sVJw/B9f59Pwo6E9JhBsRE0k0Osz8flrCUS82EJV6C1NxJ3DQVXZ7Q+SGVFxaSHHZpApzP9Dpnb3L8ln/5Oc9i/JZ/+TnPavo609ZrBwOp19n/J/lsvl+ty6jgPBbrdjt9v3GddqtYf1ly6NRnPY73EskXz2P8lp/5J89r/BmNNTR+fir7ifRxefxcOfuPrGn1vTjHnL01TP/CbnnDASrebIT0QajPk82h3unB7KdQdNwdHtdh/UTtHFxcUYDIYjENG+job2GJ9vI7GYne7uXnrdW/D6vKSHUgi7dxDKKCXe2ckmV4D8zjBN2hgFPi+dIf9hiW2wkqnd/Uvy2f8kp/1L8tn/JKf962hrjxksKioq9ulO+c/PkxUVFQMUlRBCCHHkWY06vr9gJrOnePnZi5tZsbubyZrN/D8eovOtJ/nBml/zvTPnMabAOdChiiFk0BQcn3nmGS6//PIvPW7r1q1f64dIp9NJY2PjPuMH82n40dAeE4n0kpIyArs9DZ+/g4SqIdNsx2q3YRk+Bn9CIeCPkxmO48myUJqVIS3V/0OmdvcvyWf/k5z2L8ln/5Oc9q+jrT1msJg3bx533HEHvb29fd0rzzzzDBqNpm9jQCGEEOJYUpJh46nLJ/HyhlY2//s9wnE9nQkHb7Yl8cYfPuT8CfncNLcCp3VgJnGJoWXQFBwXLlz4uWLe4VJRUcHSpUtJJBKfK8TV1tYycuTIA5470O0xiUSAWKyXpKRhJBI+vMFGiDhINYTQpJWA3kiTL0hSXEEfjpOaYUOnGzR/BY4omdrdvySf/U9y2r8kn/1Pctq/jqb2mKNBIBDgtddeA6C+vh6Px8Ozzz4LwLRp00hPT+eKK67gd7/7HQsWLOCWW26hubmZG2+8kSuuuIKcnJyBDF8IIYQYMIqiMH90DjPKb+dPr5zE4rW7iaOFBPzjk0YaNi5nwazpnDW5Es0AtFmLoUP6nP7HvHnzcLlcvPXWW31j27dvZ+3atZxyyikDGNmXCwTr0emS0OtTCIWaCUS9WCP5mBKtkFoKQF0wTG4UOg0a8u2mAY5YCCGEEOLQdXR0cM4553DOOefw7rvv0tjY2Pd68+bNwN6ulbfeegudTseCBQv4yU9+wsKFC7n33nsHOHohhBBi4NlMeq46ey73XP0tJhbt7ea04+c+9U5OXDKPn9//BzY27bsWshAHa8hOb6uvr2flypXA3k/Bd+3a1ffJ99lnn913nE6n4+KLL+Yvf/kLAJMnT2bu3Llceuml3HPPPZhMJm699VZGjRrFmWeeeeQf5BAEgw2YzYUoikIw1EQwEiQ1koLG6AJHAYlEgrpghFHeGHusGiabZJq0EEIIIQafoqIiEonElx5XWVnJ0qVLj0BEQgghxOBUkWXn6e8dxwtrm1n2yuMkx/0k0LCsw8STDy7nwkmF3DCnnGSLfqBDFYPMkC04vvPOO3znO9/pe/3666/z+uuvA3zuB9T97SD99NNPc9111/Hd736XWCzGnDlz+N3vfndUtx8nEirBYCNpqTMACAT2EAlGcChmFJsKJjtdkSj+WJwkVwTyTCTrBlf7lBBCCCGEEEIIIfqXoiicOTaPkypv4I8vj2b3+vdpSGQC8PhH9azYUMuVc0ayYGKZtFmLgzZkW6ovueQSEonEfr8+K5FI8Nhjj31uLDk5mb/85S+4XC68Xi/PPffcUb/WTzjSgaqGMZsLiEY9ePx1xCNWnAYtij0XgLpghLQ4xKJx0tMtslmMEEIIIYQQQgghAEg267n63FO47MqfMKbA0Td+U/Qhjlt8Mr95YBFbWjwDF6AYVIZswfFYEwzWYzRmotWa9q7fGPFijORg1fnh04LjnmCYvHCCNqOGPKus3yiEEEIIIYQQQojPq85N5rkrpnDXWaMYY+lkhmYdOUoPvZ0tnPq79/nFS5vxhKIDHaY4yknBcYgIBRuwmAv3/u9QM4FYkORYDhp6wJ5NVE3QHIqQ6onTbdVQYDYOcMRCCCGEEEIIIYQ4Gmk0CudOyOfRGy7goYpHeTQ2l3/Fp6Em4LEP65j127d5aeWOg1pTWRybpOA4BKhqmHC4DbO5AIBAoJ5wMIgjbkNj1IEtm6ZQhISawOgKoUsxYZf1G4UQQgghhBBCCHEADouBH37zdMZ+7xFG5jn7xmeF3mDsKyfz2wcWsa3NO4ARiqOVFByHgEi0BUVjwGjMIhbz4QvWEw3rcRoMKPYM0OqpC4bJjSv41QRpadaBDlkIIYQQQgghhBCDxOh8By9ceTy3n1FNuinBdbpnyFO6qO5azCkPvM/tr27BF44NdJjiKCIFxyEgEmnCbMpHUTSfrt/Yiy6agd0Y7lu/sS4UIS+UoNWkUGCRdmohhBBCCCGEEEIcPK1G4VuTCnnjxjk8Xno/78VH8f+iFxJXE/zp/T2cdM+7vLyuSdqsBSAFx0EvkUgQiTRj7lu/sYVALERytAB9ohvsOfhicboiUZzuKD1JWvJNhgGOWgghhBBCCCGEEINRitXAtReeSdLCl3BkF/eNW7x1VDw/h7t//wA7O3wDGKE4GkjBcZCLRl2ocX/f+o3BYCPBkJ/kWBoaTQBsOdQFw1hRUNxh9E4TSbJ+oxBCCCGEEEIIIb6GcYVOXr76BH55+ghsJh3/p/s7pZpmLu66lzPuf5PfvF5LICJt1scqKTgOcqFwM1qdA53ORjwexB+oJxJWcGgtYLKAJYW6YIT8mIJbTZCZahnokIUQQgghhBBCCDEEaDUKF00u4u3rp7Om5CrWqiX8v+i38MYN/OHdXcy65z1e39QqbdbHICk4DnK2pGqcjm8AEAo144+6UCIpOM1xFHsOCaA+FCEvqNJi0ZAv6zcKIYQQQgghhBCiH6XbjFx38blEL3mD7elz+8Y73D54+tv89qE/sKfLP4ARiiNNCo6DnKIoaDQmYG/BMRgLkxTNx6BxgT0Hb1wlEI9j6YngkvUbhRBCCCGEEEIIcZhMLE7jlWum8rNTq0gy6rhYu4STtSu5qfNmfrDoSe5Zso1gJD7QYYojQAqOQ0gg2EQg4iM5movm0w1j2sNRDCqovjDGVDNWrazfKIQQQgghhBBCiMNDp9Vw2QnDeOv6aVhKTmCDOozn4iewJZ7L797eyexF7/HW1o6BDlMcZlJwHCLiaphQsIFwMEaKYkejje8tOEaipEUSuDQK2Q7zQIcphBBCCCGEEEKIY0Cm3cT13/kmvm+/waOOq/vGm1xBPv7Hr/jLv56joScwgBGKw0kKjkNEONRCIOpGjdhxmDUo1lTQm+mMxEgJxmk1K+SbZf1GIYQQQgghhBBCHDlTSjN5/odzuHleBRaDlgqlgZt1/+DWnlt44IG7uH/pDkJRabMeaqTgOESEQi0EoiHM0Wwsei/YcwBoD0cxu6O4kvSyfqMQQgghhBBCCCGOOINOw/emDeet66cxrSSF7Yl8mhJpvB6tYdHS7cy9bxnvbJM266FECo5DRCjcTCDqwxEtREsX2HMIxFU84RgGfwyr04hZK99uIYQQQgghhBBCDIzsZDM3X3Yend9czA2m2wiydxPc+u4ADz72OHf98a80uaTNeiiQCtQQoCaihIKNBEMhHIlMNGov2HPpiETRRlUScZUsWb9RCCGEEEIIIYQQR4ETyrK469szuX52KSa9BgNR7tI/wk2t1/LMoh/x4Ds7CcekzXowk4LjEBCLthOOuolGzDiMehS9AazpdISjpMQSdBsU8i2yfqMQQgghhBBCCCGODgadhiunD2fpddM4q1RLBD1qQuGdaDW/fWMb8+57n/d3dA50mOIrkoLjEBCJtuOPhTBE0rGbQmDLAo2W9kgMW0jFZ9KSadAPdJhCCCGEEEIIIYQQn5PntHDnZafRdv4b3GD+BRsSwwHY3eXn6r+8xd1/fpxWd3CAoxSHSgqOQ0A02kYgGsARK0CndPdtGNMRiWIOxFGtOpJk/UYhhBBCCCGEEEIcpaZX5XLH9Vfzo1mlGHR7axg36v7FDU1X8fa9F/PH93YRjasDHKU4WFKFGuRUNUok0kIg4scRy0ejdoI9l4iq4orEsPqjWJONKIoy0KEKIYQQQgghhBBCfCGTXsuPZpXx5rUnMrcsmfGabQC0xJK5c3Etp9z/Pit2dQ9wlOJgSMFxkAtH2onFvYRDWhw6B4oSBnsOnZEYRFUMUZXkZNkwRgghhBBCCCGEEINDYaqVh79zPI3nvM49usv5U/wbAOzo8PHNP63g9r/9mw5PaICjFAciBcdBTlXDhBIK2kgKydYIitEGJjvtkSiOGPh1GlKthoEOUwghhBBCCCGEEOKgKYrCrJH5XHnTb/jezEoMny4VN0ezipt3X8y793yLR9/dQkzarI9KUnAc5KyW4QRUM/ZYHkatq2/9xs5IDGckgcuoIV2vG+AohRBCCCGEEEIIIQ6d2aDl+jnlvP6jqUwtTePb2jfRKAmKEo3c9vpuTv3dclbW9Qx0mOJ/SMFxkFMTMfzhZpzRAjR0gz0XgPZwFEswRsisJc0gBUchhBBCCCGEEEIMXsXpSfz90okEznqKh7UX8LPodwCF2jYv5zy8glv/sZxOb3igwxSfkoLjIBcKtREJBUnW5KKJ7d2hOp5I0BmJYfbFMNgMGDTybRZCCCGEEEIIIcTgpigKc2sKuejHv2PGiTPQafZukJuGmxtqz+PNey7iH8s2EFcTAxypkErUINcTaCYRTsZhAUWjQFIW3ZEY8VgcSyiONdk40CEKIYQQQgghhBBC9BuLQcdP5lXw+o+mMmV4Kt/TvYxT8XFa4j0WvbaB+b9fzpoG10CHeUyTXttBzk0SpuDxmJI8YE4DnYH2YAB7HKIJcNql4CiEEEIIIYQQQoihpyTDxpMLJ/Ha2tv50ytJNIQtdOCko8XDmQ99yDfH53DjvBGkyGa6R9yQneH45ptvcsEFFzB8+HAUReGqq646qPPq6upQFGWfr+OOO+4wR/zVVDorqdFXo1W6+tZv7IjESI1BjwHSjfJ/KiGEEEIIIYQQQgxNiqLwjbHFfPPHf8A05XtoP22zhgTz1l/Na7+9hH8t34IqbdZH1JCd4fj666+zfv16pk2bRk/Poe9WdMcddzBjxoy+1zabrT/D6z9hFV1ci1btAns1AO2RKGkhlU6TlnTZMEYIIYQQQgghhBBDXJJRx63fqOLscfn87N+bSKt/jRO1G4GNfO+1Up5cN5tfLahmVJ5joEM9JgzZatRvf/tb7vn/7d17WJR1/v/x18wAw0EQ5JCoKR4BDdN1PW7mGaPU7KBW37YstbSyTVqrqzYP5WG/GratrT87mLmVWZBm5gGz+G5ZeMrcr5pk5qE0UgKEUE4zc3//6HJ+S3gAvGEYeD6ui+tqPnPPPW9fzNjb99z33CkpkqRPPvmk2o/v2LFjvT2q8T85C0pltRXL4vhFCmkpwzCUU+rQlWcccgT6KNTH5ukSAQAAAAAA6kRs82C9c18frdsVrtc2HNeVjqNKd/WUjhfoxn98rjt6tdb04bEKDeSM0NrUYE+ptjaSKzPbmtpla14k+fpLgc2U73CqzOlSYJFDgaH+slosl94JAAAAAABAA2GxWDSqZyfd8tjL+vz3i92zEcOQ/Hct1fsLJ2r1tm84zboWNY6pXA1MmTJFNptNUVFRmjRpUo1Oy64L1gAf+VjzpOBoyWLRqbJyBTgNGQ6nmnKFagAAAAAA0Eg1DfDVrBuv0rqp1+h3rUMVrVw96pOq8cZa5X44S2NeytT+Hws8XWaD1GBPqa4pu92uKVOmaPjw4QoNDdX27ds1d+5c7dq1Szt27JCvr+8FH1tYWKjCwkL37ezsbEmS0+mU0+mslXqdTqcsv2TL2TJehtOp7OIyhTsMFdikULtPrT1vQ+Z0OuVyucjOJORpPjI1F3maj0zNVRd58ru6tCeffFJvv/22jh49qm+//VYdOnSQ9OsFB0ePHu3eLicnR1FRUfrqq688VCkAAPitLi2aKm1yP72/I0Lvpl+nG1wZ+n+OUco7lq+Ri7fqrr4xSk7spBD/C898UD1eM3AsKChwD/Aupl27dvLzq/l5+NHR0VqyZIn79oABA9SlSxeNGDFCa9as0dixYy/42EWLFmn27NmV1nNzc2W3187Rhi6nQz553yuveXcZOTk6XFCs0LxS/WiUq/MvBcopPVMrz9uQuVwuFRT8+glHYzk1vzaRp/nI1FzkaT4yNVdd5Jmbm1sr+21IRowYoSlTpqh///4V1mNiYrRnzx737bFjx6pHjx51XB0AALgUq9Wim/vE6nTXV/X3jV8pf9fPkiG5DGlnZobSvnpO4UlPalTPDrLw9XSXzWsGjqmpqZo0adIltztw4IDi4uJMfe7rr79eQUFB+vLLLy86cExOTtbEiRPdt7Ozs9WrVy+Fh4crMjLS1JrOcRZkq9TXJnvrzrLam6i45GfFWiw6FOqr2OZXKMDGP/Sq69xRHhEREbLZuOjO5SJP85GpucjTfGRqrrrIs7S0tFb2W5sOHTqk5557Ttu2bdO+ffsUFxenffv2VdouKytLU6dO1RdffKHg4GDdddddmjNnTrU/oO7Xr98lt8nPz9f69ev1t7/9rVr7BgAAdSc00E8zbumt0b1P6+n39+l/j+drju9ydTcO6fN132jc7hQ9M7qL4pqHeLpUr+Y1A8eJEydWGObVRyEhIQoJqfyCtNlstfcPrrMnZQSEyeYfrGJDKnYZCjzjkC3KriZ+HApcU1artXZ/b40MeZqPTM1FnuYjU3PVdp7e+Hvav3+/1q9fr969e8vlcsnlclXaJj8/X4MHD1bHjh21evVqnThxQsnJyTp79qxefPFF02t65513dO2116pFixam7xsAAJira6tQrXngD3p32yHt2xyrBOOwXnVerx1H83TD37fqnn4x+tPQjgrmNOsa8ZqBoyd9+OGHOnPmjHr27OnpUiqL6qzi8gAFSTpZVi4/Q/IpcapJKBeMAQAADdfIkSN14403SpLGjx+vXbt2Vdpm6dKlKiws1Jo1a9SsWTNJksPh0AMPPKAnn3zSPRjs1auXDh8+XOnxrVu31u7du6tc04oVK/TII4/U4E8DAAA8wWq16LZ+HZV39etK+SBDGf92SJKcLkNvbP1GTXYvVYcRj+iG7m05zbqaGuzA8dixY9q5c6ck6ezZs/ruu++UlpYmSbr11lvd2/n4+Ojuu+/WsmXLJEmPPvqorFar+vTpo9DQUO3YsUPz58/X73//+wpfCF5v2PxkBPzaQJ8sdaiZ06IzFiksmIEjAABouKryfZYbN27U0KFD3cNG6dfvWJw8ebI2b96s8ePHS5J27Nhx2fUcPHhQ33zzTf3sFwEAwEU1C/LT47cP17A/5Ovp9/dp/4+FmuLzgR5xrdbh99M1ftfLenr079QhKtjTpXqNBjtwzMjI0D333OO+vWnTJm3atEmSZBiGe/23V5Du3LmzlixZopdffllnz55Vy5YtNWHCBM2ePVs+PvU7rlNl5YosN5TvZ1Ebe80vnAMAANAQZGVl6d57762wFhoaqujoaGVlZZn6XCtWrNC4ceOqdKHAwsJCFRYWum+fuzDib/tSM3H1eHORp/nI1FzkaT4yNVd9zfPqliFaM6WvVu74XsZH5XIaFn3q6qp/HS7S53/7TPf+IUYPDWqvIHv9mw/VRabV2Xf9S8gk48ePd39qfTH/OXyUpAkTJmjChAm1VFXtOlVWroQSlw7brfq9b4P91QIAAFRJfn6+QkNDK62HhYUpLy+vWvt67LHHtHLlSv3000/q37+/YmJilJmZKenXK4m/8cYbSk1NrdK+Fi1apNmzZ1daz83NrdLAsia4ery5yNN8ZGou8jQfmZqrvud5XftA5UXP139vuU6rDv96QJfDZejlz44od/f76nntDRrQKapenWZdF5nm5uZWeVumUg1EsdOlAodTAUXlKgvwUTMGjgAAAKZZsGCBFixYcN77rFarvv/++yrvKzk5ucLFELOzs9WrVy+Fh4crMjLysms9H64eby7yNB+Zmos8zUem5vKGPCMlPT7hdg05mq+Z675W1k+/6HeWg0px/rcOf7xCz2X9VVNGD1HbiCBPlyqpbjItLS2t8rZMpRqInDKHrIbkV1Qu+xVN5GOtP1N2AAAATwgLC3N/0v+f8vPzK3yvY10LCQlRSEhIpfXavrI7V483F3maj0zNRZ7mI1NzeUuevdtH6MOp1+ifmceU/9EGuQyLnLLpgyNWrfv757p/QDs9MLCDAvw8/+eo7Uyrs18Gjg3EqfJyhRsWlTpcahrCBWMAAADi4uIqfVdjQUGBsrOzFRcX56GqAACAt/GxWXXvNW11qmuKnn/vGm09eFLl8pGcLi3+5JC+/HK77h0xSEMTrvR0qfVG/TtRHjVyqsyhCIdFBb4WhQdywRgAAICkpCRt2bJFp0+fdq+lpqbKarUqMTHRc4UBAACvFBXir0fvuV2PTfyjOkY1kSQFqVgpJTMVk5qoZ196Q9/nnvVwlfUDA8cG4lSZQ+GlTuXarYr048BVAADQsJ09e1ZpaWlKS0vTsWPHVFhY6L6dk5MjSZo8ebKCg4M1evRobd68WcuXL9f06dM1efJktWjRwsN/AgAA4K36tg/Xhj/115PXxynRb6+iLXlqYzmpfx09q2HP/0svbPlWJeX16wrcdY3JVANQbhjKL3eoyRmnivwtivTz9XRJAAAAterUqVMaE9j5vwAAG8FJREFUM2ZMhbVztzMyMjRw4ECFhYXp448/1tSpUzV69GgFBwdr4sSJmjt3ridKBgAADYivzar7rm2v7Kuf0HNpHXT68Jc6ZLSSHC49v+WgNu/O0vSRv9PA+JaeLtUjGDg2AHkOl1yGRfZfyuWK8lOwjQNXAQBAwxYTEyPDMC65XXx8vLZs2VIHFQEAgMYoummA/jzhj/rs2+v0xdr9OvzzGUnS/b/8Q83fPq4FrR7VHWPGqVVYoIcrrVtMphqAnx0uhVksKi91qklTuywWrlANAAAAAABQV/p3jNTGR/pr+vBYdfH9UaNsmYqz/qCiY19p6KJ/6R8Zh1TqaDynWXOEYwPws8OpcPmqyGIotAkXjAEAAAAAAKhrdh+bHhzUQTd2a6GFqTZ1+CFNbzmHyul0aWH6N1q963vNHtVF18Re4elSax1HODYAPztciigzlO9nUaSdgSMAAAAAAICntAoL1PT77lXona+rVXiwe71bfrrC3hqm5159Q9kFxR6ssPYxcPRyLsNQntOlsGKXcv24QjUAAAAAAEB9MCg2SumPXKtpQzupqU+5nvBdqS7WY+p+bJmGpPxLL/3rO5U5XJ4us1YwcPRyeeVOOQxDAb+UqzjQqggGjgAAAAAAAPWCv69NfxraUeumJWp586e1zxWj2Y67dLbMqfkbs3T93z/TF9/97OkyTcfA0cudLCtXE4tFrjPlsgfbZbfyKwUAAAAAAKhPWocH6rEp9yl7XLqcTWPc6yU5h2VbcYOee22lThWWeK5AkzGd8nIt7X7qb/PVWadLIU3tni4HAAAAAAAAFzCsS3NtSR6gqYM7yM9m1UyfN9TbmqW7jz2upJSPtGzrETmc3n+aNQNHLxfqa1ObMkMFfhaFB3DBGAAAAAAAgPoswM+mRxNjlT7tWn3V/FYddjXXAsdtyi216tkPv9aIxVu182iep8u8LAwcGwDjrFO5vha+vxEAAAAAAMBLtI0I0vQHpujbWzbri6BE9/rBnwr07av3KmXFu8r5pdSDFdYcA8cGoKyoXAX+VkX6+nq6FAAAAAAAAFSRxWLR8Kvb6KM/D9LkAe3lY7XoDtvHusMnQ48cvk/3pqzUii+OyukyPF1qtTBw9HKGYai4yKHyQB+F+do8XQ4AAAAAAACqKdDPR08kxWnTI/3VpHkHHXNFaZOrp/aWRGnmB/s16sWt2v19vqfLrDIGjl7OKHGquNyloKZ2WS0WT5cDAAAAAACAGuoQFazHH3pQ+0an62/+D7jX9/9YqLdfmqfn31ytvDNlHqywahg4ejlXUZnOWKXQIE6nBgAAAAAA8HYWi0U3/K6d1vx5pCb1byub1aL2lhOa67NMU7+doNkLF+qt7cfq9WnWDBy9nc2qH8N8FGFn4AgAAAAAANBQNLH76KkbOmvDw/3Vr4VFpxSmXIXo45JOemrNPt285HP97/HTni7zvBg4ejlrmF0Hr/DjgjEAAAAAAAANUGzzYD3z0ETtHrFJ03z+oiIFSpL+fbxATy15Q397+wOdPlu/TrNm4OjlTjucchiGIv18PF0KAAAAAAAAaoHFYtGonh21dPp4je8XI6tF8pFDz/ks1YNZ4/XKoif1wb6f5aonp1kzcPRyOWUOBVqtCrTxqwQAAAAAAGjIQvx9NWtUF62beo2ua1GiYMtZ+Vqc2lXSSvO2HFPKRwc9XaIkicPivFxTH5t+F8jp1AAAAAAAAI1FlxZN9feHxur9Hd20I/1t7TLiZPex6PZeV3q6NEkMHL1ec7uvbAF+ni4DAAAAAAAAdchqtejmPrEa3PVJ2TZlKcTHqVZhgZ4uSxIDRwAAAAAAAMBrhQb66ZkbuygnJ8fTpbg1yC/+czqdWrBgga699lpFRESoWbNmGjRokD777LMqPb6goEATJkxQs2bNFBwcrFtvvVXZ2dm1XDUAAAAAAADg/RrkwLG4uFjz589Xjx49tGLFCq1cuVJhYWEaNGiQPvnkk0s+fty4cdq8ebOWLl2qt956S998842SkpLkcDjqoHoAAAAAAADAezXIU6oDAgJ0+PBhhYWFudeGDRumq666Ss8//7wGDx58wcdmZmYqPT1d6enpSkxMlCTFxsYqPj5eq1ev1tixY2u9fgAAAAAAAMBbNcgjHG02W4Vh47m1rl276scff7zoYzdu3KjQ0FANGzbMvRYbG6tu3bppw4YNtVIvAAAAAAAA0FA0yIHj+TgcDm3btk3x8fEX3S4rK0uxsbGyWCwV1uPj45WVlVWbJQIAAAAAAABer0GeUn0+CxYs0IkTJzRt2rSLbpefn6/Q0NBK62FhYcrLy7voYwsLC1VYWOi+fe5CM06nU06ns/pFV4HT6ZTL5aq1/TdGZGou8jQfmZqLPM1Hpuaqizz5XQEAAMBMXjNwLCgoqNKVotu1ayc/P78Kax999JFmzpypGTNmqEe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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "init = np.arange(40.0).tolist()\n", - "init_mean = float(np.mean(init))\n", - "res = opt.consensus_dynamics(init, alpha=0.3, noise_sigma=0.1,\n", - " n_steps=80, seed=0)\n", - "n_t = res['n_steps']; n_a = res['n_agents']\n", - "S = np.array(res['states_flat']).reshape(n_t, n_a)\n", + "N, alpha, sigma, n_steps = 50, 0.3, 0.0, 60\n", + "rng = np.random.default_rng(1)\n", + "x0 = rng.uniform(-2, 2, N).tolist()\n", + "\n", + "res = opt.consensus_dynamics(x0, alpha=alpha, noise_sigma=sigma,\n", + " n_steps=n_steps, seed=0)\n", + "states = np.array(res['states_flat']).reshape(n_steps + 1, N)\n", "mean_traj = np.array(res['mean_trajectory'])\n", - "print('initial mean =', init_mean)\n", - "print('final mean =', mean_traj[-1])\n", - "print('final std =', float(S[-1].std()))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e223948c", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:17.587271Z", - "iopub.status.busy": "2026-05-12T10:16:17.586746Z", - "iopub.status.idle": "2026-05-12T10:16:18.114774Z", - "shell.execute_reply": "2026-05-12T10:16:18.113245Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "for i in range(n_a):\n", - " ax.plot(S[:, i], color='tab:blue', alpha=0.3, lw=0.6)\n", - "ax.plot(mean_traj, color='red', lw=2, label='empirical mean')\n", - "ax.axhline(init_mean, color='k', ls=':', label='initial mean')\n", - "ax.set_xlabel('step k'); ax.set_ylabel('s^k_i'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Bounded-confidence consensus, α = 0.3')\n", - "fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4f6911f2", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:18.119625Z", - "iopub.status.busy": "2026-05-12T10:16:18.119259Z", - "iopub.status.idle": "2026-05-12T10:16:18.719675Z", - "shell.execute_reply": "2026-05-12T10:16:18.717353Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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iOUiNvRAtWK9evYiPj+fIkSP2GuWmoNVq67Vd5QRu8eLFGAwGPvvsMyIjI+01tWA7Uwcwd+5cBg0aVONz1ZQUnVv7f6Eq9jtjxgyuu+66GrcxGAzV1tX2+tUGDA/Z0BhqU9N7kpKSwvDhw3F3d+fJJ58kOjoaNzc3NBoNL730En/++ecFxTpixAj+7//+r9btAgIC6nyuqVOncvfdd/Pdd99x66238tlnn2G1WrnzzjurbHfPPfdw3XXXsXLlStasWcOqVav46KOPGDRoEAkJCecd9WXbtm1ceeWVdOjQgblz59KhQwdcXV1RFIWZM2dWq68eOXIk7du3t/cLMRqNLF26lJiYmCp17hXvw4cffkj79u1r3HdoaGiV27V9Vi80xsZyvu9wQz7HdRk1ahTLly9nw4YNrFq1iuDgYHr27ImbmxsWi4XVq1fbk/jKiX1D3uvG0JTvj6qqVa74VajoszB69OiLen4hLoQk9kK0YDfddBPx8fG8//77vPrqq3VuX3FWau/evdXuMxqNHDt27KIbCJUTuIpOoc8880yVcpGKs8wuLi5VOs01RIcOHTh69Chms7laZ9sDBw5UuV357PbF7vdcFc+9Y8eOWhP2po6hwooVKygsLOT777/niiuuqHLfuR1YgVpn7gwICMDb25vc3NyLjvWmm25ixowZfPLJJ9x66618+umntY5QEhQUxNSpU5k6dSqqqjJnzhxefvllvvnmm/OOHf7ll19iNptZuXJltTOw2dnZ1RoFiqIwefJkXnjhBTZs2MDx48erdfKGs8fMx8fnot+HC4mx4v6KzuCVVSTFjSkwMBB3d/dq3xuwDaV67NixC+pAC7ayu1WrVtk/h1FRUURFRbFq1Sr2799PYGBglSuIF/teV37PzpWenk5+fv4FP2dlDZnlNiIigsOHD1NUVGTvQA2wdOlSwNZhefjw4RcVlxD1JaU4QrRgd999Nz179mTBggUsWbKkxm1SU1N54oknAFuiFhMTw6+//srmzZurbPf6669TVFTEhAkTLiqmiRMn4ubmxieffGIvazg3Ufrb3/5GUFAQr732GqdOnar2HGazud7lIuPGjSM3N5f333+/yvrvvvuOgwcPVlnXp08fevXqxUcffVRjYqSqKpmZmfXa77kqhvhbuHAhSUlJ1e6vOBPZlDFUqDj7eO6ZxpUrV1Y77oA92Tj3PddoNNx+++3s3r3bPiTmuepbNuTh4cGNN97IH3/8wZIlSzh8+LB9tKEKJSUl1YY6VRTFXt5UV0lEba/7vffeqzXOiuESKz6vbm5u1UojJk6ciIuLC8899xxFRUXVnsNoNNa7JO5CYhw9ejSurq688847VZ6/rKyMN954o177uxAajYaxY8eyZ88efvnllyr3vf322xdU9te5c2fatWvH8uXLSUxMrJKkjxo1ipUrV7JhwwauuOKKKp+Bi32vAwMDGTp0KCtXrmT37t1V7jt32N+GqO27cj6jR49GVVXeeecd+7q9e/fy+++/A1QbglaIpiRn7IVowZydnfn555+59tprmTRpEu+88w5jxowhKCiIgoIC/vrrL77//nv69Oljf8zixYsZMWIEV1xxBffdd599uMuvvvqK3r17M3v27IuKyd3dnQkTJvDFF1/g6urKiBEjiIqKqrKNq6srn3/+Oddffz3dunXjzjvvJDo6msLCQo4ePcqKFSt4+eWX6zWz42OPPcY333zDjBkz2L59OwMGDGD//v385z//oXfv3uzcudO+raIofPHFF1xxxRX069ePqVOn0qtXL0wmE0lJSXz//fdMmTKlyjjg9eXq6srHH3/M+PHj6d27t324y9zcXBISEhgzZgwzZsxo0hgqjBkzBjc3N+644w77kIrbt2/nyy+/pFevXtUSniFDhvDWW29x//338/e//x29Xs/gwYOJiopi7ty5bNiwgalTp/L9998TExODm5sbJ0+e5I8//sBgMLB69ep6xTV16lQ+++wz7r333mp17GDrpzBixAjGjRtHjx49CAgI4NixY7z33nt4eHgwfvz48z7/+PHjWbBgAWPGjOHee+/F1dWVdevW8euvv9KxY0fMZnO1x3To0IGYmBi+/vprSkpKuOOOO6qcVQUICwvj3//+N3fddRddu3ZlypQpdOjQgZycHA4cOMCKFSv4/vvv6zWe+YXE6O3tzUsvvcTMmTMZNGgQU6ZMsQ93WVHa0ZAzyOczd+5cfv31V8aPH8/06dOJjo5m8+bN/PDDD3Tq1KnG97A2V155JR9//DFAtcT+gw8+sG9TWWO812+88QZxcXHExMRw//3324e73LFjB/7+/hf1nnXv3h0PDw/eeecdXF1d8fb2JjAwsNqVscqmT5/O22+/zZNPPsnJkyfp1q0bCxYswMvLi2HDhvHJJ5/QtWtXrrvuunr3YxCiwRwxFI8Q4sKUlpaq7777rjpy5EjVz89P1el0qo+PjxoTE6POnz9fzcvLq7L9vn371IkTJ6r+/v6qXq9X27dvr86ePbvadhXDXa5evbraPs83RGLFkHDUMSzc/v371SlTpqjh4eGqXq9X/f391f79+6tPPvmkevLkyXrtS1VVNSUlRb3ttttUb29v1dXVVR0+fLi6Zs0adfz48arBYKi2fXJysvrAAw+oHTp0UJ2cnFRvb2+1V69e6syZM9W9e/fat6sY7vL48ePVniM2NrbGof+2bdumTpgwQQ0ICFD1er0aGhqq3nDDDeq2bdsaFENt6npP1q1bp44YMUL19PRUPTw81CuuuEJdt25djY+zWCzqww8/rIaFhakajabacSspKVHnzZun9u7dWzUYDKqbm5vaqVMn9bbbblN//fXXOmOtYLVa1cjIyBqHHFRVVc3KylIfeughtW/fvqqPj4/q7Oystm/fXp06daq6f//+eu3jxx9/VAcMGKC6urqqPj4+6tixY9W9e/fWerxU9eznvLbPeoWNGzeqN954oxoUFKTq9Xo1KChIHTp0qPrCCy9UGbr0fPtqSIyffPKJ2qNHD9XJyUkNDQ1VH3nkEXXTpk0qoL7yyiv27c433GXldee+7nNf8/79+9Vrr71WdXd3V93d3dW//e1v6u7du9V+/fqp3bp1q/V1nevLL79UAbVLly5V1mdlZamKoqiAeuzYsRofW9/3urbvwV9//aXGxcWpBoNB9fb2Vm+66Sb15MmTqq+vrzpmzJgq2wLqlClTqj1HbUNb/vzzz2rfvn1VZ2fnWj/L50pKSlInTZqk+vr6qnq9Xu3SpYu6bt06NS0tTb3qqqtUnU53QUNoCtFQiqo2Qa8aIYRoBj169MBqtTZJPbIQjrR06VImTpzIN998w80339zk+zObzfj7+9vLXFqjzMxMAgMDmT59Ou+++66jwxHCIaTGXgjR4p1blw22Gvt9+/bxt7/9zQERCdE4SktLq9Xjl5WV8dprr6HX66uMNtVYavo+vfnmm+Tn57ea71NNcyu8+OKLAK3mNQjRFOSMvRCixbvyyisJCgpiwIABODs7s23bNj777DP8/f3ZsWMHISEhjg5RiAZZtWoVDzzwADfeeCORkZGkp6fz9ddfc+DAAZ555hmef/75Rt9ndHQ0w4cPp3fv3litVtatW8eyZcvo1q0bW7ZsqTL5WUtkNpsJDg7mlltuoXv37hQXF/Pbb7/x+++/M3LkSFatWlXj8JNCXAoksRdCtHgLFy7ks88+4/jx4xQVFREYGMjo0aN5/vnnadeunaPDE6LBjh07xqOPPsrmzZvJzMxEp9PRo0cPpk+fXm0OgMYyZ84cfvzxR06ePElpaSlhYWFcd911PPPMM/ZJm1oyVVW55557WLNmDWlpaZjNZiIjI7npppuYM2fOBc0TIURbI4m9EEIIIYQQbYBcqxJCCCGEEKINkMReCCGEEEKINkASeyGEEEIIIdoAmXm2iZSWlrJ7924CAgLQ6eRtFkIIIYQQF85sNpOZmUmvXr1wcXE577aScTaR3bt3M2jQIEeHIYQQQggh2oDNmzczcODA824jiX0TCQgIAGwHoTnH2LZYLGRnZ+Pn54dWq222/YqayfFoeeSYtCxyPFoWOR4tixyPlsVRxyM9PZ1BgwbZc8vzkcS+iVSU34SEhBAeHt5s+7VYLDg7OxMQECB/BFoAOR4tjxyTlkWOR8six6NlkePRsjj6eNSntFs6zwohhBBCCNEGSGIvhBBCCCFEGyCJvRBCCCGEEG2AJPZCCCGEEEK0AZLYCyGEEEII0QZIYi+EEEIIIUQbIIm9EEIIIYQQbYAk9kIIIYQQQrQBktgLIYQQQgjRBkhiL4QQQgghRBsgiX0bpJotjg5BCCGEEEI0M52jAxCN698z5+KR7UpBp5NERGjQu4RidvHH6uqP6h6Ixj0QZ4Mrrk5aXJ20GPQ6+++uzjoMei1ajeLolyGEEEIIIS6QJPZtiCknB9e89hR4RRC2PZXv1N+wRpQTm20krsRIlMmMAhSoBrJUL7Lx5ITqRdaZJRtPMlUvCjQ+FOt9MDr5oTq52xN+WwNAh8Hp7O/2BkINDQXDOdu4Oumk0SCEEEII0UQksW9DFG9PSrycwAJOZnhsmZXlw/QsjHHmDV8f2plMxJbYkvy+pafowKnan0wFyqC0VE8WtsQ/U/UiW/W0306p1BjIUr3Ixw21juouJ53GluTrzyb+ZxsKtoaBm/OZ+840Eqrcf6ahULmh4epsez6dVirLhBBCCHHpksS+DdFpdPiGdCQ7pQitvx+cgAkbVLqla3j9OisnXfV87qXncy9PPDRODNX5M1w1MMRowrskB21JFrrSbDTq2Rp9F8VEOFmEK1l17t+kasnG05b8q15kUakxcOZ2lsWLrBJPMvDEgrZRX7+TVnP2ykFFY0Cvq7LOzalqY8HgpMNVX/0KQ8W2FdvppdEghBBCiBZOEvs2yvumiXhFlZK/bDndj5v44CtfNj0wnO9d9nM8/ziF1nJ+K0/jN0Cr19K3c1/iIuKIDYsh0skbik5D8ekzPzNtS8XvRaehOMt2v7nUvk+9YiGYXIKV3DrjU1Eo1XtRrPelUOtDgdabfMWHbMWbLNV2FSDD4sEpiyepJnfyTRqM5RbMVrXW5yy3WCk3Wsk3mhrhHaxKr1XOXCWo3jBwq3JVwVa2ZLvqoMNFp2AyFhOcC+4uTtJoEEIIIUSTkcS+jVJ0OkJffBHXPn049a8X0GTmMHTuSsY9/jiF44aTkJJAQkoC2zK2YVEtbM3YytaMrczfOp9Iz0hiw2OJjYilb/tx6DS1fExUFcoKz0n8T0PRmdv238/8LC88Gx8qBlMeBlMe/vV5Qc5e4BeA1dUfiyGAcoMfZc7+GPW+FOt9KNTZGgi5Gm+KrM6UlFsoKbdgNFkoKTfbbpdZKDFZMJ65bTyzTUm5GaPJgslSe6PBZFExWcwUlJov7EDUw/kaDa56ra3UqFKjoVpZ0pnSJntZUqUrFU46aTQIIYQQlwpJ7GsxZ84cvv76a5KSkjh8+DCdOnVydEgN4n3jjbh0707KgzMxpaSQ8eKLeCZey+3/ep7JPSZTUF7A+tT1rE5ezbrUdRSWF5JUkETSviQ+3fcpnk6eDA8bzsiIkVwedjkeTh5nn1xRwMXTtvh1rDsYk/FMA+BMsl/tKkClBoIxp+pjy/KhLB9N9hE0gB5wq20/eldw8we3QHAPBLcA8As4+7t7ILgF2bYx+NheB2CyWCsl/GZ746Ck3Hy2EVBjw+Ds9sZyCyWm6g0HRzUadBql2tWEyo2HylcODJU7Q9fQ0Di3s7STVoOiSGdoIYQQoqWQxL4W1157Lffddx8xMTGODuWiuXTvTtTyZaQ99jhFCQkU/PQTZQcPELZoMZ4dohgTNYYxUWMwWU0knk4kPjmehJQEThScoKC8gF+O/8Ivx39Bp+joH9Sf2IhY4sLjiPCMuLBA9Abwbmdb6mIxnSn3OefMf+WGgf3KQCZU6heAqQTyTtqWumj0tmTfzR+9eyBeboF4uQecWRcI7gHgdaaB4BoImgvrF2CxWMjMzMTH148yK/Zkv7jMfOZqwtmGQpXGgMlcpWFQ9f4z9515fLnZWuv+zVaVwlIzhaVmoOyCYq+LVqNU6gRdtWFQZQQlfQ1XGM4ZRamidKni+Zx10mgQQgghLlSbSuyPHDnC/Pnz2bhxI3v27CE6Opo9e/ZU2+7AgQPMmDGDDRs24OHhweTJk3nxxRdxcnKybzNs2LDmDL3R1JYLab28CH/3HbLf/4DMxYspO3yEpBtvJGTePDyv/hsAeo2egcEDGRg8kEcHPsrx/OMkJCcQnxLPjtM7MKtmNp3axKZTm3h1y6t08OpAbEQsIyNGcpn/ZWgvMOk9L60ePENsS12sVjDm1n0VoOKnpVKCazVBYZptqYuiAVc/W8Lv5n/mzP+Z5N+t4mpApd91Zz9POq0GZyctni76BrwZ52e2WDGabEl/8blXGMotGKtdQajamLBfbTBVbTyUlFsoO0+jwWJVKSwzU1jW+FcaNApVRkyqMgpSTVcYKpUj1d5Z2va7Tqn96okQQgjRmrWpxH7v3r38/PPPDB48GKvVitVaPSnJzc3liiuuoHPnzqxYsYLU1FRmz55NSUkJb731lgOibj6KRoP/9H9guKwXqQ8/giU3l9RZszBOnUrgw7NR9FWTziivKKK8opjacyp5pXmsTV1LQkoC61PXU2Qq4lj+MY7lH+PjPR/j4+xDTHgMseGxDAsdhruTe/O9MI0G3PxsC93Ov62qQlmB7WpAnR2EM6G8qNJjrWe3qw8XLzRugfg6eaPxDgH3oLPlQG7nlAY51VpYVCedVoOHVoNHEzQaLFb1bD+FsqoNhWr9FCquIpSZK5Ut1dTQsK0rNdXeaLCqUFRmpqiJGg0uOg2uzrrzlxvVNtxqRSPDufrQqy56udIghBDCcdpUYj927Fiuv/56AKZOncrWrVurbfPee+9RUFDAd999h6+vLwBms5n777+fOXPmEBoa2qwxO4LbsGFErVhO6qyHMO7cSc4nn2DcvZuwBQvQBwXW+BhvF2/GdhzL2I5jMVlMbDu9zXY2PzmelKIUcsty+fHoj/x49Ed0Gh0DgwbaSnYi4ghzD2veF3g+igIuXralPv0CykuqJ/1VSoMqNRCM54wGVJqPUpqPE0B6HfvRu9VwFSCg6hWBioaAi1ftl2YamVaj4O6sw91ZBx51b38hrPZGQy3lRqY6rjCcp9+D0WSpfb8qlJislJjKgfJGfU2KQtV+DGc6Mbs51zR5W039HqpO6FZ5WxedFo1M8CaEEOI82lRir9HUPQLIypUrGTVqlD2pB5g4cSLTp0/nt99+Y+rUqU0YYcuhDwmh/eefkfHqa+R+8QXGbds4PmECYQtex23QoPM/VqtnSMgQhoQM4bGBj3Es/xjxyfHEJ8ezM3MnZquZv9L/4q/0v3h588t08u7EyIiRxEbE0su/FxqlFY3U4uQKTu3Bp33d25rLoSS7SuJvLczAmHUSg7UITXHm2WFCi7PO6RdQDHnFkHei7v1onc4563+e0iBX3wvuF9BcNBoFN2cdbs46wLlRn9tqVSk1Wyguq96huajUREZWLjoXV0rNZ69InN22hn4PpqpXHWqjqtS5zcU4t/NzxXCrla8m1DShW8WVBTfnShPC6auWOkmjQQghWr82ldjXx4EDB7jrrruqrPP29iYkJIQDBw40+HkLCgooKCiw305Pt52itVgsWCxN80++Jqpqqx+2Wq1171erJeDJJ3C+7DIynn0WS1YWJ++8C/9ZM/G58856lxREekQytftUpnafSk5pDutS17EmdQ0b0jZQYi7hSN4RjuQd4YPdH+Dr4ktMWAyxYbEMCRmCq971Yl9yy6FozyTUgXDmwofFYiE/Kwu9vz9abaUEW7VCSY69X4BSkfCfaRAoJVlVOgwrlkpnli3lUJBqW+qgKhpw9bd3EFbPSfzVitGDKhoK2sYv53EUZ62Cs6sOXKs2HCwWC1m+Kv7nHpN6UlWVUpOV4krlR8YqjYCarzpU3H9u46FK3waTBfU8XQCMpjNXI4ob8IbUwUWvqTojdMVQq1U6SFfcrlqGZOvPcM5jz9w26LVoz9NosFgs9ft7JZqFHI+WRY5Hy+Ko43Eh+7vkEvvc3Fy8vb2rrffx8SEn5+wQi4899hhfffUVp06dIiYmhsjISP76669an3fBggU8//zz1dZnZ2fj7Ny4ZyPPx2y21SSXlJSQmVnPWvBBA/F4522KnnkWa3IyWa8vIH/zFtwefwzF/cJr5Yd6DmWo51DKu5azK2cXGzM3svH0RjJKM8gpzeGHoz/ww9Ef0Gv09PHtw5CAIQwJGEKgoeYyoNbMarWSn58P1HJFSTnT4fZ8b7OqopQXojFm25aSLLTGbDTGrDO3z6yvuG0qOfv0qvVM4+C07XZd8Tp7YzX4YjX4Y3H1w2rwt9+2VrptMfjbRjlqheo8JhfABXDRVPwCtndYd2a58O+9qqqUnbmKYDRZKTVbbT9N1vOuq1hKTRaM5or7Km1zZt155nej9Mz2lDT+BG/OWgUXvQaDXnumAaE5e1unoFHNeLkm2xsCLnoNBl3FNrbtDGd+r3hcxf3nazSIC9eY3w9x8eR4tCyOOh7Z2dn13vaSS+zr69VXX+XVV1+t9/azZ89m2rRp9tvp6ekMGjQIPz8/AgICmiLEGul0J4AyXF1dL2y/AQFYli0l4/+eoei33zCtXUvxiROELnwD565dGxxPWFAYY7qNQVVVjuQdIT4lnjWpa9iTtQeT1cSWrC1sydrCm/vfpKtPV2LDYxkRNoLuft1bV8lOLSpa2Q09O3xWIFB3nwAVsJQXVyr5yUQpzqzST8B2NeDMfaV5VR6vKctDU5YHecfq3peT+9kz/W4BqJXKg1RX/0odhQPB2aPZ+gXUpfGOSetiazRYa76ycO6VB1PN/RnOvbpQeb3lPK2GMotKmcVCfun5zjoVnee+2jnpNNVKkKp1fq7xqsM5/RjOLWPSa9FdgrNCX6rfj5ZKjkfL4qjjUVZW/+GqL7nE3sfHx97aqiw3N7dK3f2F8vT0xNPTs9p6rVbbrAe/onxGUZQL3q/Wy4vwRQvJ+fRTTr82H9PJk5y89TZCnn8OrzOdki9GtH800f7RTO8znSxjFmtT1hKfHM9f6X9hNBs5mHuQg7kHeX/3+/gb/G2z34bHMiR0CAZd6zw7DLZWfbN+DgyetsW/Q93bmsvPJv2VZw+uMmrQmZKgkmxbCdEZSnmRbdSg3OO22+fbj9a56nCgVToHV544LAAMvraRjppQsx+TFkKnAzeXxn/eikZDrX0Uzi1NqjRyUkmZmdzCEqyKFqPJWn3G6PLzNxrKzVbKzVbyjI1/pcFJq6k2fGpN8zDUNGO0fW6Gc0ZOqthO34IbDZfq96OlkuPRsjjieFzIvi65xD46OrpaLX1+fj7p6elER0c7KKqWQ1EU/KZOxdCzJ6kPzcacmUna409QsmMHQXPmoKk01v/F8Df4c0PnG7ih8w2UWcrYnL6ZhBTbKDsZJRlkGbNYfng5yw8vx1nrzOCQwcRFxBEbHkuga9sr2XEYnRN4hdmWulgtZ/sFFJ0+e1WgtuFCrZUSLUsZFKTYlroo2rMzB7v5n5P4nztfgH+b6hfQWimKgotei4tei88FPrZiEreAgIAa/3mpqkq5xXrOPAxnEv8q/RtsDYHiSr+fb+Skij4S5vM1GixWyo1W8pug0aDXKmdneHauoUNzDSMnVe4wXe2KQ6XHO+labqNBCNG0LrnEfsyYMcybN4+8vDx7rf3SpUvRaDSMHj3ascG1IK4DBtiGxJz9MCVbtpD3zRJK9+4jfNFC9I08JKiz1pmY8BhiwmN4avBTHMg5QHxKPAnJCezN3kuZpYw1KWtYk7IGgO5+3YkLjyM2IpZuvt1k3PDmotGe6Q8QAEE9zr+tqkJpXs1n/qvMHnymgWCq1BtUtUBRhm2pD4NP1TP/Va4MnDNqUCvtF3ApUxQFZ50WZ50W7yboa19uv9Jw7kRu5ioNg4qrDJWvJlTtNF398SZL7Y0Gk0XFZDFTUNr4czXoNIo92XerMmmbrtJM0DXNGK3DRadQXlJESJEWdxenc0ZZ0uKklbkahGjJ2lRiX1JSwi+//ALAiRMnKCgoYNmyZQDExsYSEBDA9OnTefPNNxk3bhxz5swhNTWVRx99lOnTp18SY9hfCF1AAO0+/g+ZCxeS/eFHlO7ezfHxEwh97TXcY4Y3yT4VRaGbXze6+XXjvt73cbrkNGtS1pCQnMDG9I2UWkrZl72Pfdn7eGfnOwS6BhIbbhsvf3DIYJy1zddRWZyHotgSboMP+Heue/vy4vNMFHZOaVDpOaV0xlzbknWw7v04eaBxD7BNGuYVCh41zRtwpoHQgvoFiKbjpNPgpNPgReNf+TFZrFWvMFTpp3CeuRlqnAjObJ9d2lhuodxS+wRvZqtKYamZwlIzUP/a3PrQahR7fwQ353PnYahUbqSvueFQ26RvBictzjppNAhxsRRVPd/gaq1LUlISUVFRNd63evVq4uLiANi/fz8zZsxgw4YNeHh4MHnyZObOnYtTI5WZAKSkpBAREUFycjLh4eGN9rx1WTJ3M1nJRQz4e3sGj63HBEz1VPD776Q/8STW4mJQFPz/+QD+992H0oy9wo1mI5vTN7M6eTVrUtaQaaw66o9BZ2BIyBDiIuIYET4Cf4N/s8VWm7rKDEQDmMsqNQAyay8Hqpg3gAb+idO5VJ8l+NwZgysaAwafJu8X0FbJd6RhzBZrlVKk6jM8n2kYlFVcdTBXvcJQw3CrxWfWlZtrbzQ0Ja1GqVZ2VLkzc7V19er3YLvdWhsN8v1oWRx1PC4kp2xTZ+wjIyOpTzulW7durFq1qhkiajs8r7oK506dSH1wJmWHD5P15lsYd+4k9JVX0PlcaFVtwxh0BmIjYomNiMWqWtmfvd9esrM/Zz9Gs5HVyatZnbwagF7+vexn87v4dGmVf9RFDXTO4BVuW+pitdg6/VY6828tPEVJ5glcrcVoSirPH5BZtV+AuRTyk21LXTQ623wBNc0YfG5pkKs/aNvUn17hADqtBk+tBk+Xxr3SYLFYOJVxGjcvX8otaq1XEIrPbUiUn+0QbayhoVHRkCg7T6PBYlUpKjNTVNb45UkahSqdl2vq0HzuaEpu59xfpV9Dpce76Ftno0G0TfLfRdSbc1QUkUu+If255yj48b8Ur1lL0oQbCVu8GEPPOmquG5lG0dDDvwc9/HvwQJ8HOFV8ijUpa1idvJrN6Zspt5azO2s3u7N281biW4S4hTAifAQjI0YyMHggTtrGuzojWjCN1pZMu5/tcK1aLBRlZmIICIAqk4aptpKeujoFVzQEzMazj7WaoeiUbakPg28NZ/4rdRCu3EDQN8EwNkKch1aj4OGia5Izkhbr2dmea+oQbTTZZoyuPgxrzR2ii8vO9nsoNdXeaLCqNFmjQVGoMnFblT4MNYyc5Fplu3P7PVQtV3KSC4HiAkliLy6IxtWV0FdewbVfPzLmzsOUlsaJW24h6P+exvummxx21iLYLZiJXScysetESkwl/JX+FwnJCSSkJJBTmkN6cTpLDi5hycEluOpcGRY6jNiIWEaEj8DXpeHDnIo2RFHA1de2BHSpe/uyoqpn+2vtIJwJZef2C8ixLZn1mO3a2bOWTsH+1YcLdXKXfgGiRdNqFNyddbg7N376YbU3Gmrv0FztCkMNs0HXdFXCaKp9DgZVheIz/R8am6KAi05zdvQkva7WPgquNfZ7qHnkpIqrDhqZ4K3NkcS+jbH/T2/CnhOKouAzaRIu3buTMnMW5vR0Tj3zLMYdiQQ/839oDI4decRV78qV7a7kynZXYlWt7MnaQ3xyPAkpCRzKPUSJuYRVJ1ex6uQqFBQuC7jMPpRmJ+9OcklV1I+zu23xrcd8AabSGuYLyKx+FaA401Y6VPkLXFZgW3KO1r0fnaH6cKBVrgJUagS4eEu/ANGmaDQKbs463Jqo0VBqrmFuhnOGT61t5KTK5Uw1NRpqqyJWVc7MLF1OdnHN21yMczs/1zRyUkU5kluN/R7ObWicaUxIo8FhJLEXDWa47DKiViwn7ZFHKV6/nvzvvqN0/37CFy3EqX17R4cH2Ep2Lgu4jMsCLuPBfg+SVpRmHy9/y6ktmKwmdmbuZGfmThZtX0SYe5g9yR8QNAC9jJEuGoPeBbwjbEtdLGZbcl/j0KA1NAyslUoLzEbIP2lb6qLRnbkSUMOZ/3NLg1z9pF+AuKRpNMqZs9+N/z1QVZVSk7Vah+aScjNFRhMZ2bnoXNworTxzdC0jJ5VUbkicmevhfF0PjaYzVyOaoNHgotfUMA9DzSMn1To3Qy0dorXSaKiV/KUWF0Xn40PE+/8m6+13yHrnHcoOHOD4jTcR+vJLeFx5paPDqybUPZRbom/hluhbKDYVsyFtA/HJ8axNWUtuWS6pRal8uf9Lvtz/Je56d4aFDiMuIo6YsBi8XbwdHb64FGh14BFkW+pitZ6ZL6CGM/81lQad2y+gMN221OlMmdL5OgVXbiDoZNhZIepLUWzzDhictPidc59tFBalwaOwVMwKXdPISVWvKpjPGWWp0qRuJgvFZdVHUSopN3Oe+d0oNVkpNZVfcMz14azTVOv8XHOH6Pr0e6g6JGtrbzRIYi8umqLVEvDgDAy9LyP1scex5ueT8sA/8bvnHgJmPoiia5kfMze9G1e1v4qr2l+FxWphd9Zu4pPjiU+O52j+UYpMRfx24jd+O/EbGkVDn4A+xEbYRtmJ8oySkh3heBpNpX4BXc+/rapCeVE95wvItJX/nH2w7SpCSTZk7q87LmevSh2AK88aXENpkFY6BwvRVCrPCu3r1riDRlQ0Gmrqo1Bybh+GWkZOOluadM7s0CYLlvO0GsrMVsrMVnJLGn9WaKeKRoP+nCsMZ9YpVhPPXO9JkFcTzJjXCFpmxiVaJffYWKKWLyd15kxK9+4l+4MPMO7aRdjr89H5O35M+fPRarT0CexDn8A+zOo/i+TCZBKSE4hPiWfbqW2YVTPbT29n++ntvLHtDdp5tLMl+eFx9A3qi14jJTuihVMU26Rbzh7gV485Luz9As43a3BFv4AcqvYLyLct2Ufq3I1G74q/iw8az2BwDzp/aZDBRzoHC9FCVG40NPag16qqUm6x1jhyUuXGw9mypXMaBuXnnzHafJ5GQ7nZSrnZSh61Nxqe+Ltj5nqoD0nsRaNyCg+j/VdfkjF3HnnffkvJpk0cHz+BsIULce3X19Hh1VuERwS3d7+d27vfTmF5IevT1pOQnMDa1LXkl+VzsvAkn+/7nM/3fY6HkwfDQ4cTGxHL8LDheDl7OTp8IS7eBfcLyDp/p+DKv6tnRw9RTCXoTCVQmFr3fjT6s/0CauwUXHm+AD/bcKdCiFZHURScdVqcdVq8m+DEeLn9SkPVxkCVTs2VrzqcaRgUlZrJKyrBo5Hnj2hMktiLRqdxdibkX89j6NOHU88/j/n0aU5MnkzQY4/hc8ftra6ExcPJg6sjr+bqyKsxW83szNxpL9lJKkiisLyQlUkrWZm0Eq2ipV9QP/vEWOFuzTfrsBAOo9WBR7BtqUtFv4Azib+14BRFGcdxV0rRlFRuFJyZT8BcWumxJihMsy11UmzJfa2zBlcuDQqQfgFCXEKcdBqcdBq8uLAEvWLmWQ+Xlps+t9zIRKvnPf4GXLpFkzJzFqaTJ8mYNw9j4g5CXngBjZubo8NrEJ1GR/+g/vQP6s/DAx7mRMEJ+1Ca2zO2Y1EtbDm1hS2ntjB/63wiPSMZ6DuQq61X0y+4HzqNfOXEJa5yvwCiUS0WSoIycTt3wjCw9QsoKzxnJKDzzBdQXlj5wbarCCVZ9YvLxav6rMG1zhfQOv9+CSHaPsky2hzb2fAmHMb+grh060bUsqWkPfEkRX/+ScEvKyk9cJDwNxfj3LEedb4tXHvP9kzpMYUpPaaQX5bP+tT1xCfHsy51HYWmQpIKkkgqSGJp0lK8nL0YHjacuIg4Lg+9HA8nD0eHL0TLpijg4mlb6tUvwFj3EKEVP405VR9bmm9b6tEvAL1rHZ2CKzUQXLylX4AQotlIYi+anNbTk/C33iT7o4/IfGMh5ceOcfymiYS++AKe11zj6PAajZezF9d0uIZrOlyDyWpiR8YOVp9czZ8n/yStJI38snx+PvYzPx/7GZ2io39wf+LC44iNiCXCox51zEKI89MbwLudbamLxXS23KfKFYAafpZkgVqps5ypBPJO2Ja6aJ1qni+gptIgV1/pFyCEuCiS2ItmoWg0+N9zD4ZevUh9+BEs2dmkzn6YksREgh55BMWpcYfhcjS9Rs+gkEH0D+zP5HaTKXYuZm3aWuKT40nMTMSsmtmUvolN6Zt4ZcsrdPTqaB9K8zL/y9DKP3chmpZWD54htqUuVgsYc88/V0DlfgGWSmN3W8qhINW21EXR2PoF1HTm/9zSILcA0LWtv5tCiIsnib1oVm5DhhC1Yjmpsx7CuGMHuZ99TunuPYQtfAN9UD0m5GmFFEUhyiuKTr6duLPnneSV5rE21Zbkr09bT7GpmKP5Rzmaf5T/7PkPPs4+xITHEBcRx7DQYbjppZ5XCIfSaM8k1P5A9/Nvq6q2kp7a5go4t1FgqjTlp2o9+7jT9YjLxbuGM//nzB1Q0UCQfgFCXBIksRfNTh8URPvPPuX0/PnkfPoZxh07OH7DeMIWvI7bkCGODq/Jebt4M7bjWMZ2HIvJYmJrxlYSUhKIT44ntSiV3LJcfjz6Iz8e/RG9Rs/A4IH2UXZC3UMdHb4Q4nwUBQzetsW/c93blxfX0C8gq+Y+AqV5VR9bmmdbsg/XvR+923lmDa7UGDD42RonQohWSRJ74RCKXk/Qk09i6NOHtKeexpKTw8m77iZg1iz8pt2NotE4OsRmodfqGRo6lKGhQ3l84OMczTtKfEo8CckJ7MzciclqYkPaBjakbeClzS/R2aczceFxxEXE0dO/Jxrl0nifhGiznNxsi09k3duay88m+uedK+C0bZbgKv0CiiG3GHKTzrsLLRCk0Vev/6+pNMgtQPoFCNHCSGIvHMpzzBicu3Qh5cGZlB89SuaCBRgTEwl9+SW0np6ODq9ZKYpCJ59OdPLpxLRe08gpzWFtyloSUhJYn7qeEnMJh3MPczj3MB/s/gA/Fz9GhI8gNiKWoSFDcdW3zOmthRCNROcEXmG2pS5Wi21G4LpGB6r43Xp2lk3FarrAfgH+5+kUfM46bcud2EeItkAS+7amYlS1VnQl1bljR6K+XUL6//0fBb+spOjPPzk+4UbCFy/CpVs3R4fnML4uvlzf6Xqu73Q95ZZytp7aaj+bn1acRnZpNt8d+Y7vjnyHk8aJQSGD7KPsBLvVY6IgIUTbpdHazqy7B0BQj/Nvq6pnJg3LxFJ4ioL0o3hpy9CUZNU8fKippNJjrWdGFKpPpwDA4FPzmf+aSoOc5GSFEBdKEnvRImjc3Ah9/XUMffuR8cormJKTSZp0C8HPPov3+BscHZ7DOWmdGBY2jGFhw3hy0JMczjtsmxgrOYHdWbspt5azLnUd61LX8eKmF+nm2802yk54HN38uknJjhCidopiS7gNPuDbkTLXLqg1TRhWoby49jP/55YGleZXfawx17ZkHao7Lif32s/829edaSA4e8p8AUIgib1oQRRFwfeO23Hp0YPUhx7CnJFB+pw5GHfsIOjpp9A4y5TvYHufuvh0oYtPF+697F6yjFmsTbGNsvNX+l8YzUb25+xnf85+3tv5HgGGAEaEjyAuIo7BIYMx6AyOfglCiNbMyQ18o2xLXcxllRL/83QQLjrTL6Dy5ebyItuSe7zu/WidzznzX7lPwDmNAYOvbQZkIdogSexFi+Par69tSMzZD1OyaRN5S5dSuncvYYsX4RQe7ujwWhx/gz83dL6BGzrfQJmljM3pm+2j7GSUZJBpzGT54eUsP7wcZ60zQ0KGEBsRS2x4LIGugY4OXwjRlumcwSvcttTFarEl9xVn/ouzzrkKULlRkFmlXwCWMihIsS11USqGL63cADi3o/CZBoGrP2glVRKth3xaRYuk8/Oj3Ucfkrn4TbLff5/Sffs4PuFGwl57FfcRIxwdXovlrHUmJjyGmPAYnhr8FAdyDtjr8vdm76XMUkZCSgIJKQkAdPfrbq/L7+bbDUUuZQshHEWjtSXT7vU44aCqtpKems7811QaZDZWeqwFijJsS0Y94jL4Vh8lyM2/5hGD9C4NfvlCNAZJ7EWLpeh0BM5+CEOf3qQ9/gTW/HyS/zEd//vuw/+B+1Fqq/8UgK1kp5tfN7r5deO+3vdxuuQ0a1LWkJCcwF/pf1FmKWNf9j72Ze/jnZ3vEOgaaB8vf3DIYJy1UvokhGihFMU21KarLwR0qXv7sqKqZ/5rLQ3KhLJz+wXk2JbMA3Xvx9mzUgPAv3qH4MoNBCd36RcgGp0k9qLF87jiCqKWLyPlwZmUHThA1jvvYNy5k9D5r6Hz8XF0eK1GoGsgN3a5kRu73IjRbGRT+ibik+NZk7KGTGMmp0tOs/TQUpYeWopBZ2BIyBDiIuIYET4Cf4O/o8MXQoiGc3a3Lb4d6t7WVFrzfAE1lQaV5FClX0BZgW3JOVr3fnSG8/QLOPPT4IdSqoAqf4NF/UhiX4s5c+bw9ddfk5SUxOHDh+nUqZOjQ7qkObVrR+TXX3Hq+X+R//33FK9fz/HxEwhftBDDZZc5OrxWx6AzEBdhm+jKqlrZn73fXrKzP2c/RrOR1cmrWZ28GoBe/r3sZ/O7+HSRkh0hRNuldwHvCNtSF4vZ1i+gPvMFFGeC1Xz2sWYj5J+0LbXQAkGAqtGdPet/3rkCAsHVT/oFXMLkyNfi2muv5b777iMmJsbRoVyQs+lWKxrIvp40BgMhL83D0K8vGS+8iDk9nRO33U7QU3PwvvlmSTYbSKNo6OHfgx7+PXigzwOcKj5FQnIC8SnxbE7fTLm1nN1Zu9mdtZu3Et8ixC3EnuQPDB6Ik9bJ0S9BCCEcQ6sDjyDbUher1TZfQLWhQc8tDTrz01xqf6hiNUNhum2p05kypXM7AtdWGqSTssu2pNUk9keOHGH+/Pls3LiRPXv2EB0dzZ49e6ptd+DAAWbMmMGGDRvw8PBg8uTJvPjiizg5XVjyMWzYsMYKXTQiRVHwmTgRl27dSZ05E1NaGqeeex7jjh0EP/ccGoMM5Xixgt2CuTn6Zm6OvpkSUwl/pf9FQrKtw21OaQ7pxel8c/Abvjn4Da46Vy4Pu5zY8FhiwmPwdfF1dPhCCNEyaTSV+gV0Pf+2qgrlRVgKTpGXcghvJzNa+4Rh55YGZdrKf84+2HYVoSQbMvfXHZezV6XJwmrpFFxxv7P7Rb0Foum1msR+7969/PzzzwwePBir1YrVaq22TW5uLldccQWdO3dmxYoVpKamMnv2bEpKSnjrrbccELVoKoZePYlcvoy0xx+neM1a8n/4kdL9BwhfvAinyEhHh9dmuOpdubLdlVzZ7kqsqpXdWbvtZ/MP5x6mxFzC7yd+5/cTv6Og0Dugt31irI7eHeUqihBCNISigLMH+LpisnjA+SYMAzAZq3YAPt98Acacqo8ty7ct2UfqjkvvWnen4Ip1Bh/pHOwArSaxHzt2LNdffz0AU6dOZevWrdW2ee+99ygoKOC7777D19d25tBsNnP//fczZ84cQkNDARg0aBDHjh2r9vh27dqxffv2JnwVojHpfHyIeO89st59l6y33qbs0CGO33gTIS/Nw/OqqxwdXpujUTT0DuhN74DePNjvQdKK0myz36YksPnUZsxWM4mZiSRmJrJo+yLC3MOIi4gjNjyWAUED0Gv1jn4JQgjRNukNF9gvIOs8nYIzq/6uWs4+1lQCeSdtS100+kqdg88581+l0/CZfgEaGemuMbSaxF5Tj1niVq5cyahRo+xJPcDEiROZPn06v/32G1OnTgVg8+bNTRWmaGaKRkPAAw9guKw3aY88giU/n9QZD2K8+y4CH3oIRddqPuKtTqh7KLd2u5Vbu91KsamYDWkbiE+OZ23KWnLLckktSuXL/V/y5f4vcde7Myx0GHERccSExeDt4u3o8IUQ4tKk1YFHsG2pi9V6Zr6AzDo6CGdV6xeA1QSFabalTootuT9fp+DKk4lJv4Batams58CBA9x1111V1nl7exMSEsKBA/UYf/YiFBQUUFBwtsYtPd3WwcVisWCxWGp7WKNTz3SatVrVZt2voxmGDaXdsqWkPTSbsj17yPnoPxh37iJk/nx0AY4bJsxisWC1Wtv8sXDRuHBF+BVcEX4FFquF3dm7bWPmpyRwNP8oRaYifjvxG7+d+M125t+/NyPCRxAXHkekZ2SzluxcKsektZDj0bLI8WhZWsTxcPG2LX6dz7+dqkJ5YaWz/pkoxWc7ByvnDCGqlBdVfrDtKkJJVr1CUl28zp75d/NHrXQVQHUNqHplwMmtoa+8GkcdjwvZX5tK7HNzc/H29q623sfHh5ycnOoPOI/HHnuMr776ilOnThETE0NkZCR//fVXrdsvWLCA559/vtr67OxsnJ2br2VpNtmG0iopKSEzM7PZ9tsi6PUYFrwOb79N2Q8/Yty6lePjx+P23LPoHTQkptVqJT/fNtlJfa46tRVhhHFL+C3cEn4L6SXp/JX5FxtPb2RX7i4sqoUdmTvYkbmDRTsWEeoaytCAoQwJGEJPn57oNE37Z+lSPSYtlRyPlkWOR8vSOo+HJxg8wdARzndezVyKxpiNtiQbjTELjTEbTcmZn0bbOm3F76V5VR6qlOZDaT5kH7bdPs9urDoDVoMfVld/28+KxdUfi8EPq8Efq8EXq6s/qpPnefsFOOp4ZGdn13vbNpXYN6ZXX32VV199td7bz549m2nTptlvp6enM2jQIPz8/AgICGiKEGuk1ycDpbi6ujbrfluUefMoGDKEjOf/hZqTQ9FDswl4+GG8J9/R7J05K1rZ/v7+aC/RmXIDCOCy9pfxD/5BYXkhG9I3sCZlDetS15Ffnk9aSRrLTyxn+YnleDh5cHnI5YwIH8Hw0OF4Ons2ejxyTFoWOR4tixyPlqXtH4+6+wSogMViOtMvIBNKMlEqDxNanIVSXHm+gCyUSv0CNGYjmsIUKEype19ap7Odg938Ud0qnfl3C8Bi8ENn0ePtHY7W2fViXvgFKSsrq/e2bSqx9/HxsbekKsvNza1Sd98UPD098fSsnoRotdrm/TKeyVsVRWmjfwTqx+eGGzB070HKgzMwnThJ5quvUrpzJyFzX0Tr3rzDdWk0mub/HLRQ3gZvrulwDdd0uAaz1czOzJ0kJCewOnk1SQVJFJYX8r8T/+N/J/6HVtHSN7CvfSKt9p7tGy0OOSYtixyPlkWOR8sixwPbiEBO4eAdXve29n4Bp2uYKKzy3AFnOg1bzibNiqUcCtJsC9WvBGiAQMBy30a0rt0a7eXV5UKOfZtK7KOjo6vV0ufn55Oenk50dLSDohKO4tK1C1HLlpE+Zw6Fv6+i8NdfKTt0iPDFi3DuXEetoGhyOo2O/kH96R/Un9kDZnOi4IR9lJ3tGduxqBa2Zmxla8ZW5m+dT6RnpH2UnT6BfZq8ZEcIIUQrpNGAm59tCawj+VZV2xwAVSYKq2HW4IrfK/oFuAU2/etooDb1n3HMmDHMmzePvLw8e6390qVL0Wg0jB492rHBCYfQengQtngxOf/5D6cXvEH58eMcn3gzIf/6F15jr3V0eKKS9p7tmdJjClN6TCG/LJ/1qeuJT4lnXeo6CssLSSpI4pO9n/DJ3k/wcvYiJiyG2IhYLg+9HA8nD0eHL4QQorVRFHDxsi3+nerc3FJaSM7Jg/i6eDVDcA3TahL7kpISfvnlFwBOnDhBQUEBy5YtAyA2NpaAgACmT5/Om2++ybhx45gzZw6pqak8+uijTJ8+3T6Gvbj0KIqC391349KrF6mzH8aSlUXao49iTEwk6PHHUC5wVmLR9LycvewlOyaricTTifaz+ScKTpBfls9Px37ip2M/oVN09A/uT1x4HLERsUR41GMcZyGEEOJC6V2xeIa36Im3Wk1if/r0aW666aYq6ypur169mri4OHx8fPjjjz+YMWMG48aNw8PDg2nTpjF37lxHhCxaGLdBg4havpzU2bMxbttG7pdfYtyzm/CFC9GHhDg6PFELvUbPwOCBDAweyKMDH+V4/nHik+OJT44nMTMRs2pmU/omNqVv4pUtr9DJuxOx4bHERcTRy78XWpn0RAghxCWi1ST2kZGRqKpa53bdunVj1apVzRCRaI30QYG0/+RjTr++gJxPPqF05y6Oj59A2OvzcRs2zNHhiXqI8ooiyiuKO3veSV5pHmtT15KQksD61PUUmYo4kneEI3lH+GjPR/g4+xATHkNcRBzDQofhpm+88YyFEEKIlqbVJPZCNBZFryfoiccx9OlD+pw5WHJzOXn3NAJmPojfvfeitJqxgoW3izdjO45lbMexmCwmtp3eZj+bn1qUSm5ZLj8e/ZEfj/5oP/M/ImwEPQ09CeASHQ5WCCFEmyWJfRvTgsu+WhzPq/+Gc5cupDw4g/IjR8lcuAjjjkRCX30FrVfL7RgjaqbX6hkSMoQhIUN4fODjHM07SnxKPAnJCezM3InJamJD2gY2pG0AoIt3F2IjbCU7Pf17olGkQSeEEKJ1k8ReXNKcO0QRtWQJ6c88S8HPP1OUkMDxCTcStmghhh49HB2eaCBFUejk04lOPp2Y1msaOaU5rE05W7JTYi7hUN4hDuUd4oPdH+Dn4seI8BHERsQyNGQorvrmm3hECCGEaCyS2ItLnsbNjdD5r2Ho15eMl1/BlJLCiVtuJfiZ/8P7xhsdHZ5oBL4uvlzf6Xqu73Q9xnIjfxz6g8TCRNakriG9OJ3s0my+O/Id3x35DieNE4NCBtlH2Ql2C3Z0+EIIIUS9SGIvBLYzvL633YahRw9SZj2E+dQp0p/+P0oSEwl++mk0Li6ODlE0EietEwP8BzCm2xie0jzFodxDJKQkkJCcwK6sXZRby1mXuo51qet4cdOLRPtGExsey8iIkXTz6yYlO0IIIVosSeyFqMTQpw9RK5aT+vDDlPy1kfxlyyndt4/wRYtwipDx0dsaRVHo6tuVrr5dufeye8kyZrEmZQ3xyfFsTN+I0WzkQM4BDuQc4N+7/k2AIYAR4SOIi4hjcMhgDDqDo1+CEEIIYSeJvRDn0Pn60u7DD8l8802y3/s3Zfv2c3zCjYS+8jIeI0c6OjzRhPwN/ozvPJ7xncdTai5l86nNJCQnEJ8Sz+mS02QaM1l+eDnLDy/HRevC4JDBxEbEEhseS6Bry51iXAghxKVBEnshaqBotQTOmoWhd2/SHn8Ca0EBKffdj9/0fxAwYwaKViY9autcdC6MCB/BiPARPK0+zf6c/fYkf1/2PkotpbYSnpQEAHr49bCNshMeR7RvNIoMUSWEEKKZSWLf5kgy0Zg8Ro4kavkyUh6cSdn+/WS/929Kd+0idP58dL6+jg5PNBNFUeju153uft25r899nC45ba/L35i+kTJLGXuz97I3ey/vJL5DkGsQseGxxEbEMjhkMM5aZ0e/BCGEEJcASezbqHpM0ivqySkigsivv+LUCy+Qv3wFxRv+4vj4CYQvfANDnz6ODk84QKBrIDd1uYmbutyE0WxkU/om4pPjSUhJIMuYRUZJBt8e+pZvD32LQWdgSMgQ4iLiGBE+An+Dv6PDF0II0UZJYi9EPWhcXAidOxfXvn059a8XMJ86RdIdkwl64nF8br1Vyi4uYQadgbiIOOIi4rCqVvZl77Mn+QdyDmA0G1mdvJrVyasB6OXfi7iIOGLDY+ni00U+O0IIIRqNJPZCXADvG2/EuVs3UmfOwpSSQsYLL2LckUjIv55H4yqTGl3qNIqGnv496enfk3/2/Senik/Z6/I3pW/CZDWxO2s3u7N28+aONwlxCyE23Db77cDggThpnRz9EoQQQrRiktgLcYEMPXoQtXwZaY89TlFCAgU//UTZwQOELVqMc4coR4cnWpBgt2Bujr6Zm6NvpsRUwl9pfxGfEs+alDXklOaQXpzONwe/4ZuD3+Cqc2VY6DDiIuKICY/B10X6cAghhLgwktgL0QBaLy/C332H7Pc/IHPxYsoOHyHpppsImTcPz7+NdnR4ogVy1btyZfsrubL9lVhVK7uzdtvP5h/OPUyJuYRVJ1ex6uQqFBR6B/S2j7LT0bujlOwIIYSokyT2QjSQotHgP/0fGC7rRerDj2DJzSV15kyMd95J4OyHUPR6R4coWiiNoqF3QG96B/TmwX4PklqUSkKybejMzac2Y7aaScxMJDEzkUXbFxHmHmavyx8QNAC9Vj5bQgghqpPEXoiL5DZsGFErlpMyaxalO3eR8/HHGHfvImzBAjR+fo4OT7QCYe5h3NrtVm7tditF5UVsSNtAQkoCa1PWkluWS2pRKl/u/5Iv93+Ju979bMlOWAzeLt6ODl8IIUQLIYl9WyNX6x1CHxJC5Oefk/HKq+R++SXGrds4Pn4CIfNfg8hIR4cnWhF3J3dGR45mdORoLFYLu7J22UbZSU7gaP5RikxF/HbiN3478RsaRUOfgD62s/kRsUR5RknJjhBCXMIksW+rZCD7Zqc4ORH8f09j6NOH9GeewZKVRcrd0zDcMw31n/90dHiiFdJqtPQN7EvfwL481P8hkguT7XX5205tw6ya2X56O9tPb2fBtgW082hnr8vvG9QXvUZKdoQQ4lIiib0Qjcxr7LW4RHclZcaDlCclYXzv36QdPkzYyy+j9fBwdHiiFYvwiOD27rdze/fbKSwvZH3aehKSE1iTsoaC8gJOFp7k832f8/m+z/Fw8mB42HDiwuO4POxyvJy9HB2+EEKIJiaJvRBNwLlzZyKXLSVtzlMU/fYbxX/8yfEbbyR88WJcunZ1dHiiDfBw8uDqyKu5OvJqW2fb04kkpCQQnxxPUkESheWFrDy+kpXHV6JVtPQL6mcfM7+9Z3tHhy+EEKIJaBwdgBBtldbdnZAFr2N44H7QajGdOEnSzZPI/+EHR4cm2hidRseA4AE8POBh/nvDf/nphp94ZMAjDAweiFbRYlEtbDm1hflb53Ptd9dy3ffXsWDrArZlbMNsNTs6fCGEEI1EztgL0YQURcHlppvwGzyYUw8/gjkzk7THn6Bkxw6C5sxB4yQzjYrG196zPVN6TGFKjynkl+WzPnU98SnxrEtZR6GpkOP5xzmef5yP936Ml7MXMWExxEbEcnno5Xg4SbmYEEK0VpLYC9EMXPv3J2rFclJnP0zJli3kfbOE0r37CF/4BvqwMEeHJ9owL2cvrulwDdd0uAaT1cSOjB3Ep8QTnxxPcmEy+WX5/HTsJ3469pPtzH/QAPuY+eEe4Y4OXwghxAWQUpw2Rga6a7l0AQG0+/g/+E27G4DS3bs5Pn4CRWvXOTgycanQa/QMChnEYwMf4+cbfuaH63/gof4P0S+wHxpFg9lqZmP6Rl7e/DJjVozhhh9uYOG2hSSeTsRitTg6fCGEEHWQM/a1GD16NBkZGQAEBwfz4YcfEhER4eCoRGun6HQEPvIILr17k/7kHCz5+STfey/+/3wA//vuQ9FIW1s0D0VR6ODdgQ7eHbir513kluayLnUd8cnxrE9bT7GpmCN5RziSd4SP9nyEr4uvbZSdiDiGhQ7DTe/m6JcghBDiHJLY12Lp0qV4edmGh1u0aBGPP/44X331lYOjEm2F51VX4dK5MykPzqTs0CGy3nwL486dhL7yCjofH0eHJy5BPi4+jO04lrEdx2KymNiasdU+yk5qUSo5pTn8ePRHfjz6o+3Mf/Ag+5j5Ie4hjg5fCCEEragU58iRI0yfPp0+ffqg0+no2bNnjdsdOHCAq666Cjc3N4KDg3nssccoLy+/4P1VJPUABQUFDY5biNo4RUYSueQbvK6/DoDiNWtJmnAjxt17HByZuNTptXqGhg7liUFPsHL8Sr677jtm9ptJn4A+KCiYrCbWp61n3qZ5jF4+mgk/TmDx9sXsytyFVbU6OnwhhLhktZoz9nv37uXnn39m8ODBWK1WrNbq/zxyc3O54oor6Ny5MytWrCA1NZXZs2dTUlLCW2+9dcH7vPnmm1mzZg3+/v789ttvjfEyhKhCYzAQ8vLLGPr2JWPuPExpaZy49VaCnn4a74k3oSjSa0I4lqIodPLpRCefTkzrNY2c0hzWpqwlPjmeDWkbKDGXcCj3EIdyD/HB7g/wc/FjRPgIYiNiGRoyFFe9q6NfghBCXDJaTWI/duxYrr/+egCmTp3K1q1bq23z3nvvUVBQwHfffYevry8AZrOZ+++/nzlz5hAaGgrAoEGDOHbsWLXHt2vXju3bt9tvL1myBFVVef3113nhhRd45513muKliUucoij4TJqES/fupMyahTktnVPPPotxxw6Cn30GjcHg6BCFsPN18eX6TtdzfafrKbeUs+XUFuKT40lISSC9OJ3s0my+O/Id3x35DieNE4NDBhMXEceI8BEEuwU7OnwhhGjTGq0Up6SkhCNHjqCqamM9ZRWaenQqXLlyJaNGjbIn9QATJ07EarVWOeO+efNmsrKyqi2Vk/oKiqIwbdo0Pvvss8Z5IULUwnDZZUQtX47b5ZcDkP/99yRNuoXyEyccHJkQNXPSOnF52OU8NeQpfp3wK8vGLuOfff5JL/9eAJRby1mbupYXNr7AVcuuYuJ/J/J24tvszdorJTtCCNEEGnTGfv78+RQXF/Pss88CsHbtWq677joKCgqIiori119/pWPHjo0aaH0cOHCAu+66q8o6b29vQkJCOHDgQL2fp6CggMLCQsLOjC++dOnSWmv6Kz+mci1+eno6ABaLBYul+YaJq2hWWa1qs+5X1MxisWC1Wut9LBRPT0LffYfsd98l5933KDt4kOM33kTwvLm4X3FFE0d7abjQYyLqr5NXJzp5dWJaz2lkGbNYm7qWhJQENqZvpNRSyv6c/ezP2c97O98jwBBATFgMMaExdNB1kOPRQsj3o2WR49GyOOp4XMj+GpTYf/jhhzz66KP227Nnz6ZHjx488cQTvPjii8yZM4clS5Y05KkvSm5uLt7e3tXW+/j4kJOTU+/nyc/PZ8KECRiNRhRFoV27dnzxxRfnfcyCBQt4/vnnq63Pzs7G2dm53vu+WGaTCQCjsYTMzMxm26+omdVqJT8/H6jfVSe7m2/GvX17iufOw1pYSNqMB3G59VZc7roLRadtomgvDQ0+JuKCDfcaznCv4ZRFl5GYk8jGzI1sPL2RrLIsMo2ZrDiyghVHVuCkcaKfbz+GBg5lcOBg/Jz9HB36JUu+Hy2LHI+WxVHHIzs7u97bNiixT05OplOnTgCkpqaybds2EhISiImJwWw2c9999zXkaVuMiIgINm/efEGPmT17NtOmTbPfTk9PZ9CgQfj5+REQENDYIdZKp08BjBgMrs26X1Gzila2v78/Wu0FJuRjx2Lq14+0hx6ibO8+Sr/6CuXIEUJeexWdv38TRHtpuKhjIhosPDica7kWVVU5kHOAhNQE1qSsYV/OPsqt5WzM2sjGrI2wD7r7dic2PJbY8Fi6+nSVTuTNSL4fLYscj5bFUcejrKys3ts2KLE3GAz2spM//vgDd3d3hg0bBthKXypaM83Nx8enxn3n5uZWqbtvCp6ennh6elZbr9Vqm/XgV/z/UxRF/gi0EBqNpsGfA227dkR+9RUZc+eR9+23GDdv5uRNEwlbuBDXfn2bINpLw8UcE3Hxegb2pGdgTx7o+wDphen8cuAXtudvZ9OpTZRZytiXs499Oft4d9e7BLsF25P8QSGDcNY23xXQS5V8P1oWOR4tiyOOx4Xsq0GJ/aBBg3j55ZfRaDS89tprjBkzxr7To0eP2mvTm1t0dHS1Wvr8/HzS09OJjo52SExCXCyNszMh/3oeQ58+nHr+ecynT3Ni8mSCHnsMnztul7OZolULdA3k7xF/Z2q/qZSr5WxK32QfZSfLmMWp4lMsObiEJQeXYNAZGBoylLiIOGLCY/A3yJUrIYSorMGdZ6+99lrGjh1L+/btmTt3rv2+JUuW2M/eN7cxY8Ywb9488vLy7LX2S5cuRaPRMHr0aIfEJERj8R5/Ay7dokmZOQvTyZNkzJuHMXEHIS+8gMbNzdHhCXHRDDoDcRFxxEXEYVWt7MveZ0/yD+QcwGg28mfyn/yZ/CcKCr0CehEXHkdsRCydvTtLI1cIcclrUGLfvXt3jh07RnZ2Nn5+VTs5vf766wQHN/5YxSUlJfzyyy8AnDhxgoKCApYtWwZAbGwsAQEBTJ8+nTfffJNx48YxZ84cUlNTefTRR5k+fbp9DHshWjOXbt2IWraUtCeepOjPPyn4ZSWlBw8RvngRzg4YiUqIpqJRNPT070lP/578s+8/OVV8ioTkBOJT4tmcvplyazm7MnexK3MXi3csJtQtlNiIWOLC4xgQPAAnrZOjX4IQQjQ7RW2qgecbWVJSElFRUTXet3r1auLi4gDYv38/M2bMYMOGDXh4eDB58mTmzp2Lk1Pz/pFPSUkhIiKC5ORkwsPDm22/y1/byqmjBfS5KoLLJ3Rutv2KmlksFjIzMwkICGjUejzVaiX7w4/IXLgQrFYUV1dCX3wBz2uuabR9tFVNdUxEwzTkeJSYSvgr7S/iU+JZk7KGnNKqo5656ly5POxyYsNjiQmPwdelaftYtSXy/WhZ5Hi0LI46HheSU7aamWcjIyPrNflVt27dWLVqVTNE1DIpyKXoS4Gi0eB/7z0YLutF6uyHseTkkDr7YUoSEwl65BGUZm7ICtGcXPWuXNn+Sq5sfyVW1crurN32s/mHcw9TYi7h9xO/8/uJ31FQ6B3Q2342v6N3RynZEUK0Wa0msRdCVOc2ZAhR360gdeYsjImJ5H72OaW79xC28A30QUGODk+IJqdRNPQO6E3vgN482O9BUotSbXX5yQlsydiC2WomMTORxMxEFm1fRJh7GHERccSGxzIgaAB6rd7RL0EIIRqNJPZCtHL6oCDaf/YpGfPnk/vZ5xh37OD4DeMJW/A6bkOGODo8IZpVmHsYt3W7jdu63UZReREb0jaQkGIbMz+vLI/UolS+3P8lX+7/Ene9+9mSnbAYvF28HR2+EEJcFEnshWgDFCcngufMwdC7N+n/9wyWnBxO3nU3AbNm4TftbhSZsVBcgtyd3BkdOZrRkaOxWC3sytplP5t/NP8oRaYifk36lV+TfkWjaOgT0Md2Nj8ilijPKCnZEUK0OpLYC9GGeP3977h07UrKgzMpP3aMzAULMCYmEvryS2hrmEBNiEuFVqOlb2Bf+gb25aH+D5FckExCiq0uf9upbZhVM9tPb2f76e0s2LaAdh7t7HX5fYP6otdIyY4QouWrd2J/3XXX8frrr9O5c2euu+66826rKAo//PDDRQcnhLhwzp06Efntt6T/39MUrvwfRX/+yfEbbyJ80UJcunVzdHhCtAgRnhHc3v12bu9+O4XlhaxPXU98SjxrU9ZSUF7AycKTfL7vcz7f9zkeTh4MDxtOXHgcl4ddjpezl6PDF0KIGtU7sS8sLMRisQBQUFAglyiFaMG07m6ELVhAbt++ZLz6GqaTJ0madAvBzz6L9/gbHB2eEC2Kh5MHV0ddzdVRV9s6255OtJ3NT44nqSCJwvJCVh5fycrjK9EqWvoF9SM2PJa4iDjae7Z3dPhCCGFX78R+9erV9t/j4+ObIhYhRCNSFAXfyZNx6dmT1FkPYT59mvQ5czDu2EHQ00+hcXZ2dIhCtDg6jY4BwQMYEDyAhwc8TFJ+kj3J33F6BxbVwpZTW9hyagvzt84n0jPSPspOn8A+6DRS4SqEcJwm/wtksVhwcnJiy5Yt9OvXr6l3J+RCijiHa79+RK1YTurDj1CyaRN5S5dSuncvYYsX4dSMk6cJ0RpFekUS6RXJlB5TyC/LZ13qOhKSE1iXuo5CUyFJBUl8svcTPtn7CV7OXsSExRAbEcvloZfj4eTh6PCFEJeYZjm10Eomt21T5D0Xlen8/Wn30YdkLlpM9gcfULpvH8cn3EjYq6/gHhvr6PCEaBW8nL34e4e/8/cOf8dkNbEjYwfxKfHEJ8eTXJhMflk+Px37iZ+O/YRO0dE/uD9x4bZRdiI8IhwdvhDiEiDXDIW4RCg6HYEPz8bQpzdpjz+BNT+f5H9Mx//++/B/4AEUma5ciHrTa/QMChnEoJBBPDrgUY7nHyc+xTaUZmJmImbVzKb0TWxK38QrW16hk3cne11+L/9eaDXyfRNCND5J7IW4xHhceSVRy5eR8uBMyg4eJOuddzHu3EXo/NfQ+fg4OjwhWh1FUejg3YEO3h24q+dd5Jbmsi51HfHJ8axPW0+xqZgjeUc4kneEj/Z8hK+Lr22UnYg4hoUOw03v5uiXIIRoIySxF+IS5NS+PZHffM2p5/9F/vffU7x+PcfHTyB80UIMl13m6PCEaNV8XHwY23EsYzuOxWQxsSVjCwnJCSSkJJBalEpOaQ4/Hv2RH4/+aDvzHzzIPmZ+iHuIo8MXQrRiktgLcYnSGAyEvDQPQ9++ZLz4Iub0dJJuu53gOU/iPWmSDGkrRCPQa/UMCx3GsNBhPDHoCY7kHbGPsrMrcxcmq4n1aetZn7aeeZvm0cWni71kp6d/TzSKzBothKg/SeyFuIQpioLPzRNx6d6d1JkzMaWlcer5f2FMTCT4uefQGAyODlGINkNRFDr7dKazT2em9ZpGtjGbtalrSUhOYH3aeoxmI4dyD3Eo9xAf7P4APxc/RoSPIDYilqEhQ3HVuzr6JQghWrgmT+wVRaF9+/Y4y5jZzUNOsooGMPTqSeTyZaQ99jjFa9eS/8OPlO4/QPjiRThFRjo6PCHaJD+DH+M6jWNcp3GUWcrYcmoL8cnxJKQkcKr4FNml2Xx35Du+O/IdThonBocMJi4ijhHhIwh2C3Z0+EKIFqjJE3uNRsPx48ebejdCiIuk8/Eh4t/vkfXuu2S99TZlhw5x/MabCH35JTxGjXJ0eEK0ac5aZ4aHDWd42HCeUp/iUO4he5K/O2s35dZy1qauZW3qWgC6+Xaz1+V39+supXNCCKCBib3RaOSFF15g2bJlpKSkUFZWVm0bi8Vy0cGJiyDD2IsGUDQaAh54AMNlvUl75BEs+fmk/HMGftPuJmDWLBSdVO8J0dQURaGrb1e6+nblH73/QZYxizUpa1idvJqNaRsptZSyP2c/+3P2897O9wg0BDIiYgRx4XEMDhmMi87F0S9BCOEgDfov/cADD/DVV19xyy230L17d5ycnBo7LiGEA7nHDCdqxXJSZj1E6e7dZH/4Ecaduwhb8Dq6gABHhyfEJcXf4M/4zuMZ33k8peZSNp/abDubn5zAaeNpThtPs+zQMpYdWoaL1oUhIUOIjYglNjyWAFf5vgpxKWlQYv/f//6X+fPn889//rOx4xFCtBD6sDDaf/kFGS+9RN7X31CyZQvHx08gbOEbuPbv7+jwhLgkuehcGBE+ghHhI1CHqOzP2U9CcgLxKfHsy95HqaXUNhtuSjwAPfx62Et2on2jpWRHiDauQYm9VqulS5cujR2LEKKF0Tg5EfLss7j26UP6s89hzszkxOQpBD76CL5TpkiSIIQDKYpCd7/udPfrzn197iOjOIOEFNt4+ZvSN1FmKWNv9l72Zu/lncR3CHYLJjbcdiZ/UMggnLUyqIUQbU2DEvv77ruPzz//nNGjRzd2PEKIFsjr+utxju5GyoMzMJ04yemXX8G4I5GQuXPRususmUK0BEFuQUzsOpGJXSdiNBvZmLbRnuhnGbM4VXyKJQeXsOTgEgw6A0NDhhIXEUdMeAz+Bn9Hhy+EaAQNSuxdXV1Zu3Ytw4YNY9SoUXh7e1e5X1EUHnroocaITwjRQrh07ULUsmWkz5lD4e+rKPz1V8oOHSJ88SKcO3d2dHhCiEoMOgMj241kZLuRWFUr+7L3EZ8cT3xyPAdzD2I0G/kz+U/+TP4TBYVe/r1sSX5oDF6ql6PDF0I0kKKq6gWPn6LRnH8mPEVRLvlRcVJSUoiIiCA5OZnw8PBm2+93r28j7XA+va8MZ/hNUi7laBaLhczMTAICAtBqtY4Op1GoqkrOf/7D6dcXgNWKYjAQ8sILeF37d0eHVi9t8Zi0ZnI8ml96Ubpt9tuUeDanb8ZkNVW5P8gliJHtRzIyYiQDggfgpJUBMhxFvh8ti6OOx4XklA06Y2+1WhsUmBCi9VMUBb+778alZy9SH34YS1YWaY88gnHHDoIefwxFRskSokULcQ9hUvQkJkVPosRUwl9pfxGfEs+alDXklOaQUZrBNwe/4ZuD3+Cqc+XysMttZ/PDYvBx8XF0+EKI85BBqWsRGRmJq6urfSjP+fPnM0om6RHCzm3wIKKWLyd19myM27aR++WXlO7ZQ9iiheiDZVZMIVoDV70rV7a/kivbX4nFamHn6Z2sPLSSrblbOZJ3hBJzCb+f+J3fT/yORtHQO6A3seGxxEXE0cGrg3SgF6KFqXdiv337drp164bBYGD79u11bt+vX7+LCqwl+PHHH+nUqZOjwxCixdIHBdL+k485/foCcj75BOPOnRy/YTxhC17HbehQR4cnhLgAWo2W3gG9CSWUJwKe4JTxlH28/C0ZWzBbzew4vYMdp3ewcPtCwt3DiYuIIzYilv5B/dFr9I5+CUJc8uqd2A8YMICNGzcyaNAgBgwYUGsrXVXVJqmxP3LkCPPnz2fjxo3s2bOH6Oho9uzZU227AwcOMGPGDDZs2ICHhweTJ0/mxRdflEm0hGgiil5P0BOPY+jTm/Q5T2HJzeXk3dMIePBB/O69B6WOPjlCiJYpzD2M27rdxm3dbqOovIj1aetJSE5gbepa8srySClK4Yv9X/DF/i9w17szPGw4sRGxxITF4OUsHXCFcIR6J/arV6+me/fu9t+b2969e/n5558ZPHgwVqu1xjr/3NxcrrjiCjp37syKFStITU1l9uzZlJSU8NZbb13wPm+88UasVisjR45k7ty5uLu7N8ZLEaJN8rz6apy7dCHlwQcpP3KUzIULMSYmEvrKy2i95J+8EK2Zu5M7f4v8G3+L/JutZCdzJ/EptrP5x/KPUWQq4n9J/+N/Sf9Dq2jpE9iHuHDb2fworyhHhy/EJaNBo+I4gtVqtY/GM3XqVLZu3VrtjP1LL73E3LlzOXnyJL6+vgC8//773H///Zw8eZLQ0FAABg0axLFjx6rto127dvYyo+TkZCIiIigtLeXBBx9Eo9Hw3nvv1TteGRVHwKU5ooG1uJj0Z56l4OefAdCHhxO+eBEuZ04MONqleExaMjkeLUtDjkdyQbI9yd+WsQ2zaq5yf3vP9va6/L6BfdFppHtffcn3o2Vps6PiVFZSUkJpaWm19RWJdWOpa4hNgJUrVzJq1Kgq+544cSLTp0/nt99+Y+rUqQBs3ry5zueKiIgAwMXFhfvuu4/Jkyc3LPDmJh2ZhINp3NwInf8ahr59yXjlFUwpKSRNuoXgZ5/Be8IER4cnhGhkEZ4R3NH9Du7ofgcF5QVsSN1AfEo8a1PWUlBewImCE3y27zM+2/cZnk6eDA8bTlxEHJeHXY6nk6ejwxeiTWlQYl9QUMBjjz3G0qVLycvLq3EbR4xjf+DAAe66664q67y9vQkJCeHAgQP1fp7i4mLMZjNeXl6oqsqSJUvo06fPeR9TUFBAQUGB/XZ6ejpgex+a872ouABjVdVLfi6BlsBisWC1Wi/JY+F1yyScukWTPvthzBkZpD/1NMXbtxM4Zw4aFxeHxXUpH5OWSI5Hy3Kxx8NN68ZV7a7iqnZXYbaa2Zm5k4SUBNakriGpIImC8gJ+Of4Lvxz/BZ2io29gX0aEjyA2PJZ2Hu0a+dW0fvL9aFkcdTwuZH8NSuzvvPNO/vzzT6ZNm0aXLl1aTMfU3NzcarPgAvj4+JCTk1Pv58nIyGD8+PH2Wv7LLruMxYsXn/cxCxYs4Pnnn6+2Pjs7G2dn53rv+2KZTLaJRowlJWRmZjbbfkXNrFYr+fn5QP2uOrU5YWG4/fs9iv/1Aubt2ylYvoLiXbtxe/45tGdK45rbJX9MWhg5Hi1LYx+Pdpp23NHuDu5odwcpxSlszNzIxtMb2Z23G7NqZkvGFrZkbOH1ba8T4RbB0IChDA0cSjfvbmgVKT2R70fL4qjjkZ2dXe9tG5TYr1q1infeeYfbbrutIQ9v8Tp06EBiYuIFPWb27NlMmzbNfjs9PZ1Bgwbh5+dHQEBAI0dYO70+FQCDwdCs+xU1q2hl+/v7X7r1kQEBqJ98TPZbb5Pz/vtYDh+maPp9BL/8Eu6xsc0ejhyTlkWOR8vSlMcjICCAvpF9uY/7KCgrYF3aOtakrGFd2jqKTEUkFyeTXJzMt0nf4u3szfDQ4YwIH8GwkGG4O12ag1fI96NlcdTxKCsrq/e2DUrsQ0JC8GqBo1z4+PjYW1KV5ebmNnrN/7k8PT3x9KxeK6jVapv14FcMQ6ooGvkj0EJoNJpm/xy0OFotQbMfwrVvH9IefwJrQQFp9z+A3/R/EDBjBkozvzdyTFoWOR4tS3McDx9XH8Z2GsvYTmMxWU3syNhBfEo88cnxJBcmk1eWx0/Hf+Kn4z+h0+gYEDTANmZ+eCzhHs03IEVLIN+PlsURx+NC9tWg6wjPPfccL730Uq319Y4SHR1drZY+Pz+f9PR0oqOjHRSVEKKCx8iRRC1fhnO3bgBkv/dvku+5B/MFlMoJIdoWvUbPoJBBPDbwMX6+4Wd+uP4HHur/EP0C+6FRNJitZjamb+TlzS8zZsUYbvjhBhZtX0Ti6UQsVqk9F6KyBp2xnzRpErt27aJdu3b06dOnWl27oij88MMPjRHfBRkzZgzz5s0jLy/PHtPSpUvRaDSMHj262eMRQlTnFBFB5NdfceqFF8hfvoLiDX9xfPwEwhe+gaGOTupCiLZNURQ6eHegg3cH7up5F7mluaxLXUd8cjzr09ZTbCrmSN4RjuQd4cPdH+Lr4ktMWAxxEXEMCx2Gq97V0S9BCIdqUGL/xhtv8PLLLxMUFITFYqGwsLCx46qmpKSEX375BYATJ05QUFDAsmXLAIiNjSUgIIDp06fz5ptvMm7cOObMmUNqaiqPPvoo06dPt49hL4RwPI2LC6Fz5+Laty+n/vUC5lOnSLpjMkFPPI7PrbfWOrO1EOLS4uPiw9iOYxnbcSwmi4ktGVtISE4gISWB1KJUckpz+OHoD/xw9Af7mf+4cFvJToh7iKPDF6LZNWiCqqCgICZOnMiiRYuarVdwUlISUVE1z163evVq4uLiANi/fz8zZsxgw4YNeHh4MHnyZObOndvsI/c4aoKq7xdsJ/VQHpddEU7MRJmgytFkcpG6GffuJXXmLEwpKQB4XnstIf96Ho1r05x5k2PSssjxaFlay/FQVZUjeUdISEkgPjmeXZm7UKmaznT16UpsRCxx4XH08O+BRml9o8q0luNxqWizE1SVl5czbty4Zh3qJzIykvq0Qbp168aqVauaISIhRGMw9OhB1PJlpD32OEUJCRT89BNlBw8Qtmgxzh1kKnohRHWKotDZpzOdfTozrdc0so3ZrE1dS0JyAuvT1mM0GzmYe5CDuQd5f9f7+Bv87ePlDwkZIiU7os1qUGY+adIke1mMaKku+EKMEA6j9fIi/N13CJg1CzQayg4fIenGGyn436+ODk0I0Qr4GfwY12kcb4x8g7WT1vLuqHe5uevNBLsFA5BlzGLF4RXMXD2TEUtG8MAfD/DtwW/JKM5wcORCNK4GnbG//PLLefrpp0lPT2fUqFE1Tgo1fvz4i41NCHEJUTQa/Kf/A8NlvUh9+BEsubmkzpqF8c47CZz9EIpe7+gQhRCtgLPWmeFhwxkeNpyn1Kc4lHuI+OR4ElIS2J21mzJLGWtS1rAmZQ0v8ALdfLvZhtKMiKW7b3fp4yNatQYl9pMnTwbg5MmTfPPNN9XuVxRFpj8WQjSI27BhRK1YTsqsWZTu3EXOxx9j3LWLsDcWoA8MdHR4QohWRFEUuvp2patvV/7R+x9kGbNYk7KG+OR4/kr7i1JLKftz9rM/Zz/v7nyXQEMgIyJGEBcex+CQwbjoXBz9EoS4IA1K7I8fP97YcQghhJ0+JITIzz8n4+VXyP3qK4zbtnF8/ATCFryO26BBjg5PCNFK+Rv8Gd95POM7j6fUXMrmU5ttZ/OTEzhtPM1p42mWHVrGskPLcNG6MCRkCLERscSGxxLgKrO5i5avQYl9+/btGzsOIYSoQnFyIviZ/8PQty/pzzyDJSuLk3feReDsh/C96y65XC6EuCguOhdGhI9gRPgI1CEq+3P2k5CcQHxKPPuy91FqKbXNhpsSD0APvx72UXaifaPlb5BokRqU2IsWTP7OiDbGa+y1uER3JWXGg5QnJXH6tfkYExMJmTcPrYeHo8MTQrQBiqLQ3a873f26c1+f+8goziAhxTZe/qb0TZRZytibvZe92Xt5J/Edgt2CiQ23nckfFDIIZ62zo1+CEIAk9kKIVsC5c2cily0l/amnKfz1Vwp/X0XZocOELV6MS1eZr0EI0biC3IKY2HUiE7tOxGg2sjFtoz3RzzJmcar4FEsOLmHJwSUYdAaGhgwlLiKOmPAY/A3+jg5fXMIksRdCtApad3fCFr5Bziefcnr+fMpPnCDp5psJ+dfzeF13naPDE0K0UQadgZHtRjKy3UisqpW9WXuJT7HV5R/MPYjRbOTP5D/5M/lPFBR6+feyj7LT2buzlOyIZiWJfRt14fMJC9HyKYqC351TMfTqScpDD2HJzCLtsccp2bGDoCefRNPMM0wLIS4tGkVDr4Be9AroxYy+M0gvSrfNfpsSz+b0zZisJnZl7WJX1i4W71hMqFuovS5/QPAAnLTyN0o0LUnshRCtjuuAAXRYsYLUh2ZTsnUreV9/Q+mevYQvWog+NNTR4QkhLhEh7iFMip7EpOhJlJhK+CvtL+JT4lmTsoac0hzSitP4+sDXfH3ga1x1rlwedjmx4bHEhMfg6+Lr6PBFG9QoiX15eTlOcqZMCNGMdAEBtPvkY06/8QY5H/2H0t27OT5+AqHz5+M+/HJHhyeEuMS46l25sv2VXNn+SixWC7uzdtvO5ifHcyTvCCXmEn4/8Tu/n/gdBYXeAb2Ji4gjLiKODl4dpGRHNIqLTuwPHjxI9+7dZUIqIUSzU3Q6gh59FEPv3qQ/OQdLXh7J99yD/4x/4j99OopG4+gQhRCXIK1GS5/APvQJ7MPMfjNJLUq1j5e/JWMLZquZxMxEEjMTWbh9IeHu4fa6/P5B/dFrZKZt0TCNcsZelYJuIYQDeY4ejXPnzqQ+OJOyw4fJWvwmxsREwl59Fa23t6PDE0Jc4sLcw7it223c1u02isqL2JC2gYSUBNakrCGvLI+UohS+2P8FX+z/Ane9u71k5/IQufooLkyjJPZy+agFkUMhLlHOUVFELvmG9Oeeo+DH/1K8Zq1tttrFizH07OHo8IQQAgB3J3dGR45mdORoLFYLOzN32kfZOZZ/jCJTEb8m/cqvSb+iUTT08O7BqKhRjGw3kiivKEeHL1o46TwrhGgzNK6uhL7yCq59+3Jq3kuY0tI4ccstBP3f03jfdJOchBBCtChajZZ+Qf3oF9SP2f1nk1yQbE/yt2Vsw6ya2Z27m925u3lj+xu092xPbHgscRFx9A3si04jaZyoSj4RQog2RVEUfG65BZcePUiZOQtzejqnnnkW445Egp/5P5CO/kKIFirCM4I7ut/BHd3voKC8gLXJa/nt6G9szd5KQXkBJwpO8Nm+z/hs32d4OnkyPGw4cRFxXB52OZ5Ono4OX7QAktgLIdokw2WXEbViOWmPPErx+vXkf/cdpfv3E/LGAjAYHB2eEEKcl6eTJ1dHXk1/t/74+PmwK3sXCcm22W+TCpIoKC/gl+O/8MvxX9ApOvoF9bOfzW/n2c7R4QsHkSEjhBBtls7Hh4j3/43//fcDUHbgACcn3kz5+vUOjkwIIepPp9ExMHggjwx8hP/e8F/+O+6/PDLgEfoH9UeraDGrZjaf2sxrW1/j79/9neu/v54F2xawPWM7FquMWngpkTP2Qog2TdFqCXhwBobel5H62ONY8/MpfuppspKSCJw5E0UnfwaFEK1LpFckkV6RTOkxhfyyfNamriUhOYH1qespNBVyLP8Yx/KP8fGej/F29iYmLIbYiFguD70cdyd3R4cvmpAMdymEuCS4x8YStXw5KTMfpGzvPnI++JDS3XsIe30+Oj8/R4cnhBAN4uXsxbUdruXaDtdisprYnrHdNmZ+SgLJhcnkleXx32P/5b/H/otOo2NA0ADbmPnhsYR7hDs6fNHILroUx9/fn6eeeqoxYhGNQJHxLoWolVN4GBGff47T2GsBKNm4keM3jKdk+w4HRyaEEBdPr9EzOGQwjw96nJ9v+Jnvr/+eWf1m0TewLxpFg9lqZmP6Rl7e/DJjVozhhh9uYNH2RSSeTpSSnTbios/Y+/n58cILLzRGLEII0eQ0zs64PfwwPoOHcPqFFzCfPs2JyZMJeuwxfO64XYbEFEK0CYqi0NG7Ix29O3J3r7vJLc1lbepa4pPj2ZC2gWJTMUfyjnAk7wgf7v4QXxdfYsJiiIuIY1joMFz1ro5+CaIBpLhUCHFJ8rphHK49upMycxamkyfJmDcPY+IOQl54AY2bm6PDE0KIRuXj4sN1Ha/juo7XYbKY2JKxxT7KTmpRKjmlOfxw9Ad+OPoDeo2eQcGDiI2IJS48jhD3EEeHL+pJEvs2Sro9CFE3l27diFq2lLQnnqTozz8p+GUlpQcPEb54Ec4dOzo6PCGEaBJ6rZ5hocMYFjqMJwY9weG8wyQkJxCfEs/uzN2YrCbWp61nfdp65m2aR1efrvYkv4d/DzSKDKrYUkliX4OkpCTGjRtnv52ZmUlgYCA7dkgdrhBtjdbTk/C33iT7o4/IfGMh5UePcvymiYTOfRHPMWMcHZ4QQjQpRVHo4tOFLj5duOeye8g2ZrMmZQ0JKQlsSNuA0WzkYO5BDuYe5P1d7+Nv8GdE+Ahiw2MZEjJESnZaGEnsaxAZGUliYqL99sSJE+nfv7/jAhJCNClFo8H/nnsw9LqM1IcfxpKdTepDsynZsYOgRx5BkdlqhRCXCD+DHzd0voEbOt9AmaWMLae2EJ8cT3xyPBklGWQZs1hxeAUrDq/AWevM4JDBxIbHEhseS5BbkKPDv+S1mmspR44cYfr06fTp0wedTkfPnj1r3O7AgQNcddVVuLm5ERwczGOPPUZ5eXmD95ubm8vPP//MHXfc0eDnEEK0Dm5DBhO1YjmGvn0ByP3sc05MmYopI8PBkQkhRPNz1jozPGw4Tw95mt9v/J2lY5fyQJ8H6Olny8HKLGWsSVnDCxtfYNSyUUz870TeSXyHvdl7ZSh0B2m0M/YlJSWkpaXRsWPHJhlVYu/evfz8888MHjwYq9WK1Wqttk1ubi5XXHEFnTt3ZsWKFaSmpjJ79mxKSkp46623GrTfJUuWMGLECEJDQy/2JQghWgF9UBDtP/2EjPnzyf3sc4w7dnB8/ATCXp+P25Ahjg5PCCEcQlEUon2jifaNZnrv6WSWZLImZQ3xKfFsTNtIqaWU/Tn72Z+zn3d3vkugIdBWlx8Rx6DgQbjoXBz9Ei4JDUrs58+fT3FxMc8++ywAa9eu5brrrqOgoICoqCh+/fVXOjZyx7OxY8dy/fXXAzB16lS2bt1abZv33nuPgoICvvvuO3x9fQEwm83cf//9zJkzx56cDxo0iGPHjlV7fLt27di+fXuVdZ9++imzZs1q1NfSpGSkPiEumuLkRPCcObj26UPa0/+HJTubk3fdTcCsWfhNuxtF02oudgohRJMIcA1gQpcJTOgygVJzKZvSNxGfEs+a5DWcNp7mtPE0Sw8tZemhpbhoXRgSOoS48DhiI2LxN/g7Ovw2q0H/nT788EPCw8/OVjZ79mx69OjBDz/8gL+/P3PmzGm0ACto6vGPdOXKlYwaNcqe1IOtPt5qtfLbb7/Z123evJmsrKxqy7lJ/aFDhzh48GCVjrRCiEuH5zXXELX0W5w6dACrlcwFC0j55wwsBQWODk0IIVoMF50LsRGxPDv0WVbdtIpvrv2G+3rfRzffbgCUWkqJT47nub+eY+S3I7nlp1t4b+d7HMg5ICU7jaxBZ+yTk5Pp1KkTAKmpqWzbto2EhARiYmIwm83cd999jRpkfR04cIC77rqryjpvb29CQkI4cODABT/fp59+ys0334yzs3Od2xYUFFBQ6Z99eno6ABaLBYul+WZzq/iCqKq1WfcramaxWLBa5Vi0JBd6THSRkbT75msynn2WwpX/o+jPPzk+4UZCF76Bc3R0E0fb9sl3pGWR49GytNbjEe0dTbR3NP/o9Q8ySjJYm7KWhNQENqVvotxazp7sPezJ3sPbiW8T7BpsH2VnQNAAnLV151yO4qjjcSH7a1BibzAY7EnsH3/8gbu7O8OGDQNsiXR+fn5Dnvai5ebm4u3tXW29j48POTk5F/RcVquVzz//nKVLl9Zr+wULFvD8889XW5+dnV2vhkFjMZWbADAaS8nMzGy2/YqaWa1W+/ehPledRNNr6DHRPvYYho4dMb77HqbkZE7cciuusx/C+eqrmyrUS4J8R1oWOR4tS1s4Hho0xPrEEusTizHayI6cHfx1+i82ZW4itzyXUyWn+PbQt3x76FtctC709+vPkMAhDPYfjI+zj6PDr8JRxyM7O7ve2zYosR80aBAvv/wyGo2G1157jTFjxqDVagE4evQoYWFhDXnaFkWj0XDy5Ml6bz979mymTZtmv52ens6gQYPw8/MjICCgKUKskd4pDQCDi0uz7lfUrKKV7e/vb/+OCMe6qGNy330YBw8m7eFHsJw+TcnLr6A/eoyAJ59A04wN+LZEviMtixyPlqUtHo92Ie24vsf1WFUre7P32sbMT03gUO4hSi2lrD+9nvWn16Og0Mu/FyPCRxAXHkdHr6YZnOVCOOp4lJWV1XvbBneevfbaaxk7dizt27dn7ty59vuWLFliP3vf3Hx8fGq8WpCbm1ul7r4peHp64unpWW29Vqtt1oNf8aFXFE2b+SPQ2mk0mmb/HIjzu5hj4j5wIB1WLCf14Uco2bSJ/KVLKdu3j7BFi3AKb/0nNRxBviMtixyPlqWtHg8tWvoE9aFPUB8e7P8g6UXpxKfEk5CcwOZTmzFZTezK2sWurF28lfgWYe5htvHyI2IZGDQQvVbvkLgdcTwuZF8NSuy7d+/OsWPHyM7Oxs/Pr8p9r7/+OsHBwQ152osWHR1drZY+Pz+f9PR0oqUWVgjRSHT+/rT76EMyFy0i+4MPKd27l6QJEwid/xruMTGODk8IIVqdEPcQbom+hVuib6HYVMxfaX8RnxzP2tS15JTmkFqUylcHvuKrA1/hpndjWOgw4iLiiAmLwcelZZXsONJFjWN/blIP0KtXr4t5yosyZswY5s2bR15enr3WfunSpWg0GkaPHu2wuJqTjHYpRPNQdDoCH34YQ58+pD3+BJb8fJLv/Qf+99+P//33obSxs2tCCNFc3PRujGo/ilHtR2GxWtidtZuElATik+M5kneEYlMxv5/4nd9P/I5G0dA7oDdxEXHEhccR5RXl8JIdR2q0CaqaWklJCb/88gsAJ06coKCggGXLlgEQGxtLQEAA06dP580332TcuHHMmTOH1NRUHn30UaZPny4TTAkhmoTHlVcStXwZKQ/OpOzgQbLefhvjzp2EvvYqOh85iySEEBdDq9HSJ7APfQL7MLPfTFKLUolPtpXsbMnYgtlqZsfpHew4vYM3tr1BhEcEseG2ibH6BfVDr3FMyY6jtJrE/vTp09x0001V1lXcXr16NXFxcfj4+PDHH38wY8YMxo0bh4eHB9OmTavSB0AIIRqbU/v2RH7zNaeee578H36geN06jk+YQPiiRRgceBVTCCHamjD3MG7rdhu3dbuNovIiNqRtICElgTUpa8gryyO5MJkv9n/BF/u/wEPvweVhlxMXEcfwsOF4OXs5Ovwm12oS+8jIyHpNYtCtWzdWrVrVDBEJIcRZGoOBkJdfwtCvHxkvvog5LZ0Tt95G0FNz8L755kv60rAQQjQFdyd3RkeOZnTkaCxWCzszd9o74B7LP0ahqZD/Jf2P/yX9D62ipW9gX+Ii4ogNjyXSK9LR4TeJVpPYiwslM7kJ0dwURcHn5om4dO9O6syZmNLSOPXc8xh37CD4uefQGAyODlEIIdokrUZLv6B+9Avqx+z+s0kuSLYn+dsytmFWzWzN2MrWjK3M3zqfSM9I+yg7fQP7otO0jZS4bbwKIYRoQQy9ehK5fBlpjz1O8dq15P/wI6X7DxC+eBFOkZGODk8IIdq8CM8I7uh+B3d0v4OC8gI2pG4gPiWetSlrKSgvIKkgiaR9SXy671M8nTwZHjackREjuTzscjycPBwdfoPVO7G/7rrreP311+ncuTPXXXfdebdVFIUffvjhooMTQojWSufjQ8S/3yPr3XfJeuttyg4d4viNNxHy0jw8r7rK0eEJIcQlw9PJk6ujrubqqKvtnW0TkhNISEkgqSCJgvICfjn+C78c/wWdoqN/UH9iI2KJC48jwjPC0eFfkHon9oWFhfYZtwoKCqReVAgh6qBoNAQ88ACGy3qT9uijWPLySJ3xIKXT7iZg1iwUnVw0FUKI5qTT6BgYPJCBwQN5ZOAjJOUn2YfS3HF6B2bVzKZTm9h0ahOvbnmVDl4d7El+T9+ejg6/TvX+r7J69Wr77/Hx8U0Ri2gM0t4SosVxjxluGxJz1kOU7t5N9ocfYdy5i7AFr6MLCHB0eEIIccmK9Iok0iuSKT2mkF+Wz9rUtSQkJ7A+dT2FpkKO5R/jWP4xPt7zMd7O3gzwG8CMATPo4NPB0aHXSNPUO7BYLGi1WrZv397UuxJCiBZLHxZG+y+/wPuWSQCUbNnC8fETKNm2zcGRCSGEAPBy9uLaDtfyWuxrJExK4MPRH3J7t9uJ8LCV4+SV5bEqbRUapcnT5wZrluvA9RmmUggh2jqNkxMhzz6La58+pD/7HObMTE5MnkLgo4/gO2WKlDgKIUQLodfoGRwymMEhg3ls4GMcyz/G6pOr2XNqjz3Rb4mkwLONkraUEC2X1/XX4xzdjZQHZ2A6cZLTL7+CcUciIXNfROvu7ujwhBBCVKIoCh29OxLpEcn/t3fncVGV+x/AP2eGYZWdkUVIBEIRXHBNzaviXqK4AJLd0lAvWppRrplLKqippZmXvLnQLRVBLXNp0Z9db4u5VobiCsimArLIOjAzvz+MuRKrMHCG4fN+vXjVPOc553yHLzN+58xzniezbabY4dRKd79LICLSY8YdPdEhLg7mw4cBAB5+8w2SAoNQeuOGyJEREVFLxcKeiEgkUnNztNuyBW3nzwekUigSE5EYFIy8I0fFDo2IiFogFvZERCISBAG2oa/gqV07IbWzg7q4GOlvvYW7q1ZDrVCIHR4REbUgLOz1Dm++I2qJzPr0QYcDB2DSsycAIOfzz5H895dQlpEhcmRERNRSNHlhLwgC2rdvDyMjo6Y+FRFRiyazb4v2u3fBZupUAEDxb78hccJEFP70k7iBERFRi9Cgwv7bb7+tdfuWLVv+dwKJBImJifD29m7IqYiIWhVBJoP9ooVo98EHkJiaQpmTgzuh05EVFQW1SiV2eEREpMMaVNiPGjUKr732GoqLiyu1p6amYujQoZg/f75WgiMiaq0sRo2Ea1wcDD3cAbUamR9sRursV6HMyxM7NCIi0lENKuz37NmDvXv3onv37jh79iwAIDo6Gj4+PsjIyMBP/NqYiKjRjNw6oENMDCyefx4AUPD990icOAklV66IHBkREemiBhX2kydPxuXLl+Hm5oZnn30WzzzzDEJDQ/HKK6/g0qVL6PnnzV9ERNQ4EjMzOG14D/ZLlwIyGcpSU5E0OQS5Bw6IHRoREemYBt886+TkhFmzZkEqleLs2bPo2rUrFi5cyJtkiYi0TBAE2Lw4Be0/jYaBvT3UCgUy3l6K9KVLoSotFTs8IiLSEQ0q7AsLCzFjxgyMHz8ekydPxtdff42HDx/Cx8cHcXFx2o6RiIgAmPr6osOhgzDt9wwAIC/uAJJDXoAiNVXkyIiISBc0qLDv2rUrDh8+jAMHDmDXrl0YMWIEfvvtN0ycOBFBQUF48cUXtR0n1ZPAaeyJ9JqBjQ2e+uQT2Ib9AwBQcuUKEidMxMPvvxc3MCIiEp1BQ3bq2rUrtm/fDrlcrmkzNTVFVFQUAgICMH36dK0FqM/UajWysrJQUlICpVKplWNauqvgZmsCI/tSJCUlaeWY9GSkUimMjY1hZ2cndiikpwSpFG3nzYNJ125IX7gQqvx8pIbNgu2sMMhfew2CVCp2iEREJIIGXbE/dOhQpaL+caNGjcLly5cbFVRroFarkZaWhqysLCi0uGy8QwcLdOhqBzvnNlo7Jj0ZhUKBrKwspKWlQa1Wix0O6TFzvyHocPAAjLy8AADZ/4xCyowZKH/wQOTIiIhIDA26Yl8Xa2vrpjisXsnKysLDhw/Rtm1b2Nraau24ufeKoCgph0kbGcxtTbR2XHoy2dnZuH//PmQymdihkJ4zdHGB6949uLtqFfIOHEThTz8jceIkOH/wPky6dRM7PCIiakYNLuxPnz6N7du34/r16ygpKamy/ffff29UYPqupKQEhoaGWi3qH8frxOKytbVFbm4uSktLYWhoKHY4pOckxsZwWrMGpr6+uPvuKpRnZCDpxb/DfvEiWIeEQODNN0RErUKDhuJ888038PPzQ1ZWFs6fPw8XFxfY2dnh2rVrKCwsRK9evbQdZ7P75JNP0LVrV3h5eeGFF16osspuYymVSkg5DlavSaVSrd07QVQfVpMmof3ePZC1aweUleHeu6uQvmAhVEVFYodGRETNoEGF/fLlyzFv3jwcPXoUALBq1Sr83//9H65fvw6ZTAY/Pz+tBtncrly5gtWrV+P06dO4evUqrK2tsWnTJrHDIiKqk4m3NzociEObQYMAAPlffYWk4GCUJiaKHBkRETW1BhX2V69exejRoyGRSCAIAgoLCwEA7du3x4oVK7B69WqtBgkAN2/eRFhYGLp37w4DAwP4+PhU2y8hIQHDhw+HmZkZHBwcsGDBgie+OTU+Ph49e/aElZUVAGDkyJHYu3dvY59C8+A37kStntTKCs7/3Ab563MBQUDpjZtImhSI/G++FTs0IiJqQg0q7I2NjaFSqSAIAhwdHXHr1i3NNnNzc6SkpGgtwArx8fE4evQoPDw80Llz52r75OTkwM/PDwqFAgcPHkRERAS2b9+O8PDwJzpX165dcebMGaSlpUGpVCIuLg537tzRxtOgJrRjxw54enrC2NgY3bp1w5EjR+q1X3p6OiZOnAhzc3PY2Nhg+vTpyM/Pr9Rn6tSpEAShys/XX3/dFE+FqNEEiQR2s2bB5ZN/QWplBVVhIdJefx331q2HuqxM7PCIiKgJNOjm2W7duuHatWsYPnw4hg4dijVr1sDOzg4ymQxLly5Fly5dtB0n/P39MW7cOACPiqzz589X6RMVFYX8/HwcOnQINjY2AIDy8nLMnj0bS5YsgZOTEwCgT58+uH37dpX9n3rqKVy8eBEdO3bEunXrMG7cOM3QIgODJplAiLRk3759mDFjBt5++234+fkhJiYG48ePx3//+18888wzNe5XVlaGkSNHAgD27NmDoqIivPXWW3jhhReqfDBwc3PD559/XqnN689pBol0VZsBA9Dh4AGkznsDJb//jge7dqH48u9ot2kTZG3bih0eERFpUYOq1Xnz5iHxz/GaERER8Pf3x9ixYwEAzs7OOHTokPYi/JNEUveXC8ePH8ewYcM0RT0ABAUFISwsDN9++y2mTp0KADh79mydx3rxxRc1K+jGxsaiU6dODQucmsXy5csxefJkrFq1CgAwZMgQ/P7773j33Xdx7NixGveLi4tDfHw8rl69io4dOwJ4NF3ryJEjcfbsWfTp00fT18TEpNYPCUS6SubkhPaf/Rv3165Dzp49KD5/AYkTJsL5/U0w7d1b7PCIiEhLGlTYP/fcc5r/b9euHS5cuICbN2+iuLgYnTp1Em16v4SEBLzyyiuV2qysrODo6IiEhIQnOta9e/dgb2+PvLw8rF+/HvPnz6+1f35+fqXhGxkZGQAezX5T3cwoarUagiBofwGjxw7XnIsj7dy5E5GRkUhPT0fPnj0RFRWFmzdvYubMmUhPT6/XB7OGun37Nq5fv461a9dWes7BwcFYsGABSkpKYGRkVO2+x48fR9euXeHp6anZt+LD4dGjR9H7L0XPk/5O1Wo1VCoVZ8fRIUqlsnXmRCqF/O0lMOrWFfdWrIQyKwvJU6fB7o15sP5zqJkYWm0+dBTzoVuYD90iVj6e5HxaGV8iCAKefvppbRyqUXJycjQ3vD7O2toaD55wJcYXX3wR6enpKC0txT/+8Q8EBQXV2n/Tpk1YuXJllfbs7Oxqi8qKYrO8vPyJ4qqLSq0CAKhVKq0fuyaffvoppk+fjgULFmDQoEFYvXo1QkJC0LVrVzz33HNQqVRQqVTV7qtWq+v1B1vbUKj4+HgAgIeHR6Xn7OnpCYVCgRs3btT4jcvVq1fh6elZ5XfVsWNHXL16VdOuUqlw8+ZNWFlZobi4GD4+PliyZIlmeFh1VCoVSkpKUFpaCqB+3zpR01OpVMjLywPQSnPSty/MP/oIBcuXQ5WSgqwNG5F39izMFiyA0Kb5V6xu9fnQMcyHbmE+dItY+cjOzq533wYX9ikpKfjiiy+QkpJSZYEqQRCwefPmhh5aJ3z33XdP1D88PBzTp0/XPM7IyECfPn1ga2sLuVxepX9xcTEEQahUsCrKVUjLbdx8+Q9zS1BWqoRRmQHMGrhMVTsrExga1P8Pdv369fDz88PatWsBPJodycfHB9evX0dMTEytRfnu3burfMtSndu3b8PV1bXabRXflNjZ2VU6l52dnWZ7TTHk5ubC2tq6ynYbGxvk5uZq2nv06IE+ffrA29sbubm5iIqKQmBgIPbv349JkyZVe2yJRAJjY2MYGxvDzs6O6xboiIoPkq06J3I5lHGxuLf0HRR89x3KTv8Xhcl34PTB+zDy9GzWUJgP3cJ86BbmQ7eIlY+KC4T10aDCfv/+/fj73/8OlUqFtm3bVhl6I1Zhb21trfkk9bicnJxK4+6bgoWFBSwsLKq0S6XSapNf8bX3419/p+eVwG/jf5ouyHo69dZgdLAzq1ff/Px8XL9+HTNnztQ8F29vb8jlchQWFmLEiBG1fsU/duxYnDt3rs7ztGvXrsbjPP67fLxPTe3V7V/XsefNm1epfdy4cejfvz+WL1+OwMDAWo8tkUhq/DsgcTAngNTSEs5bNuPB7mjc37ABZcnJuPPCFDi+uxKW/v7NGgvzoVuYD93CfOgWMfLxJOdqUGG/ZMkSBAQEYPv27bC0tGzIIZpEp06dqoylz8vLQ0ZGBm9+bSIFBQUAAEdHx0rtPj4+sLCwgImJSa3729jY1OtvqLar/tbW1gAe5drBwUHTnpOTozlHbfvW9GHQxcWlxv0kEgkmTpyIBQsWoLi4uM7nSaSLBEGA7bSpMPHxRmp4OJSZWUifvwDFly6h7aJFkIh0vxQRETVMgwr7zMxMzJw5U6eKegAYPXo0IiIikJubqxlrHxsbC4lEghEjRogbXD20szLBqbcGN+oY+dnFKCtRwsjMAG2sjBscR33J5XJIJJIq877fuXMHAwYMqHP/6OhoTJs2rc5+iYmJNQ7FqfjQlpCQoJnZpuKxoaEh3Nzcajxup06dcPny5UptarVaM50rUWtg2rs3Ohw4gLTwcBSfv4CcPXtR/Ec8nD94H7I/pwkmIiLd16DCftSoUThz5gyGDh2q7XhqVFRUpJm2MDk5Gfn5+YiLiwMADBo0CHK5HGFhYfjwww8REBCAJUuWIC0tDfPnz0dYWJhmDntdZmggqfcQmJrkqgQoisth3EYGC9umv4osk8ng5eWFc+fOISwsDABw4cIF3Lp1q9obmf/K39+/XkNxasufm5sbPD09ERsbW+lm1piYGAwdOrTWWZpGjx6Nzz77DDdu3NDcAH7y5ElkZ2dXmv3pr1QqFWJjY+Ht7c2r9aQXZG3bov2uXbj//gd4sHMnSn7/HYkTJsJpwwa0ebbuD+lERCS+BhX2UVFRCA4ORlFREYYOHVptAdejR4/GxlbJ/fv3q4xlrnh86tQpDB48GNbW1jh58iTmzJmDgIAAmJubY/r06VizZo1WY6HK5s2bhzlz5mDs2LEYOHAgFi1ahN69e+P8+fO4dOkSfH19a9zX1tYWtra2jY5hxYoVmDJlCtzd3TFkyBDExMTgl19+wenTpzV9kpOT4e7ujmXLlmHZsmUAgEmTJiEiIgITJ05ERESEZoGq559/XjOHfXJyMl5++WWEhITAw8MDOTk5+Oc//4nz58/jwIEDjY6dSFcIMhnsF8yHSfduyFi8BMrcXKTMmAG7Oa/BLiwMAmflICLSaQ0q7B8+fIiioiJERkZqZkKpUDE/u7bn+HR1da3XHOJeXl44ceKEVs9NtQsNDUV6ejpmz56NzMxM9OjRA0eOHMHmzZsxYMAAbNu2TbM4WFMJCQlBUVER1q5di7Vr16Jjx444dOgQ+vXrp+lTMbXm41NvymQyfP3115g7dy5CQkJgYGCACRMm4P3339f0MTc3h6WlJVavXo379+/D0NAQvXr1wvHjxzWr1hLpE4sRI2D09NNIm/s6Sm/cQNaWD1H8669ot349pPX4Jo6IiMQhqBuwitHgwYNx+/ZtLFy4EJ6entUOdRg0aJBWAmypUlNT4eLigpSUFDg7O1fZnpSUBAA1jhtvqNz7Rc06FIdqlpSUBLVaDRMTE8jlcs5ooCOUSiUyMzOZk3pQFRUhY/kK5H/1FYBHK9i227IFJj7eWjsH86FbmA/dwnzoFrHyUVdN+bgGXbE/e/Ys9uzZg4CAgIbsTkRELYDE1BRO69fBtIcv7kZEoiw9HckhIbB/ZymsAgNFW62WiIiq16ABk08//XSzrWpKRETiEQQB1iEhcP3s3zBwdIS6rAx3ly1HxttLofrL4oRERCSuBhX2mzZtwpo1a6rMGU9ERPrJpFs3dDh4AGb9+wMA8g4eRNLkECju3BE5MiIiqtCgoTjz5s3D3bt34ePjAycnpyqz4giCgN9++00b8RERkY4wsLaGy7+2I+ujj5C17Z8oTUhA4sRJcFq3FuZ+fmKHR0TU6jWosO/ZsyfHVhIRtUKCVAr53Lkw7toV6QsXQZWXh9TZr8J25kzI586BUMsq0URE1LQa9A68e/duLYdBREQtifngwehwIA5pc19HyZUryN6+HcW//452GzfAQAtrUxAR0ZPjaiNERNQghs7OaL93D6z+XCyw6MwZJE6YiKKLl0SOjIiodWJhT0REDSYxMoLjqnfhuGYNBCMjlN+7h+SXXsKDT/9dr0UFiYhIe1jYExFRo1lNnADXfXshc3EBystxLyIC6W++BVVhodihERG1GizsiYhIK4y9vNDhQBzaDBkCAMg/dgyJQcEovX1b5MiIiFoHFvakN3bs2AFPT08YGxujW7duOHLkSJ37ZGZm4vXXX0ffvn1hZGSENm3aNEOkRPpLamEB54+2Qv7GG4BEAsWtW0iaFIj848fFDo2ISO+xsCe9sG/fPsyYMQPBwcE4fvw4+vXrh/Hjx+PMmTO17peWloZ9+/ahbdu26NWrVzNFS6TfBIkEdv+Yiad2fAKpjQ1URUVIeyMc9yIjoS4rEzs8IiK9xcKe9MLy5csxefJkrFq1CkOGDEFUVBR69+6Nd999t9b9unbtinv37uGrr77C8OHDmylaotbBrF8/dDh4ACbduwMAHkR/iuSXp6Ls3j1xAyMi0lMs7Ekrdu7cCQ8PD5iammLgwIG4cuUKDh8+DHt7e6hUqiY99+3bt3H9+nUEBQVVap88eTJOnjyJ0tLSGveVSPgSIGpKMgcHtP80GtZ//zsAoPjiRSROmIjCM7+IHBkRkf7hEoG6pFwB5KU06hCS3GJIS5SQlBsAMG7YQSxdAAPDenffvXs3QkNDsXjxYgwePBgrV65ESEgIunXrhjFjxtRaPKvVaiiVyjrPYVDLapYJCQkAgE6dOlVq9/LygkKhQGJiYpVtRNR8BENDOLy9BCbduyHjnWVQZmfjziuvQP7GPFhNmyZ2eEREeoOFvS7JSwE+7NGoQ1hoI445FwFb93p3j4yMhJ+fHyIiIgAAzs7O8Pb2xrVr17B///5a942Ojsa0evzDnpiYCFdX12q35eTkAACsrKwqtVtbWwMAHjx4UOfxiajpWT7/PIw7dkTq3NehuH0bmRs3oejSrzB44w1ALhc7PCKiFo+FPTVKfn4+rl+/jpkzZ2raOnfuDLlcjsLCwjrHrfv7++PcuXN1nsfJyanRsRKR+Iw8POC6fz8y3lmKh8e/RuH//R8kCQmw2vohTDt3Fjs8IqIWjYW9LrF0eXS1vBHys4tRVqKEkZkB2lg1YihOPRUUFAAAHB0dK7X7+PjAwsICJiYmte5vY2MDS0vLOs9T21CciivzeXl5cHBw0LRXXMm3sbGp8/hE1HykbczQbtMm5HTvjnvvbYAqPR13XpgChxXLYRUQIHZ4REQtFgt7XWJg+ERDYKqjUhZBWVwOVRsZYFt7Ua0NcrkcEokE+fn5ldrv3LmDAQMG1Lm/NobiVIyfT0hIQMeOHTXtCQkJMDQ0hJubW53HJ6LmJQgCbF5+GYadOyP1jXCos7KQsWgxii/9CvsliyExMhI7RCKiFoeFPTWKTCaDl5cXzp07h7CwMADAhQsXcOvWrSpj3qujjaE4bm5u8PT0RGxsLMaNG6dpj4mJwdChQ2FoWP8bgYmoeZn06AGL7R9DEbkWxefOITcmBiXx8Wj3wQcwdG4ndnhERC0KC3tqtHnz5mHOnDkYO3YsBg4ciEWLFqF37944f/48Ll26BF9f3xr3tbW1ha2tbaNjWLFiBaZMmQJ3d3cMGTIEMTEx+OWXX3D69GlNn+TkZLi7u2PZsmVYtmyZpj0uLg4AcOXKFSiVSs3j3r17o3379o2OjYhqJ7GxgfMn/8KDrVuR/a9PUPLHH0iaOBFOG95Dm4EDxQ6PiKjFYGGvr9TNd6rQ0FCkp6dj9uzZyMzMRI8ePXDkyBFs3rwZAwYMwLZt2zB16tQmjSEkJARFRUVYu3Yt1q5di44dO+LQoUPo16+fpk/F1Jp/nVc/MDCw2se7du1q8riJ6BHBwABt33wTJt26IX3RYijz8pAy8x+wmz0bdrNnQZBKxQ6RiEjnCWq1uhlLQN2yZMkS7N27F0lJSbhx4wY8PDzqta0+UlNT4eLigpSUFDg7O1fZnpSUBAA1jhtvqNz7RVAUl8PYTAYLu6YfY081S0pKglqthomJCeRyOaQsTHSCUqlEZmYmc6IjqsuHIjkZqXNfR+m1awAAs2efhdN762Hw543y1HT4+tAtzIduESsfddWUj2vVy26OGTMGp0+frna4RW3biIio6Ri2bw/XfXth+ec9M4U//IDEiRNRfPmyyJEREek2nSrsb968ibCwMHTv3h0GBgbw8fGptl9CQgKGDx8OMzMzODg4YMGCBVAoFE98vv79+8PFpfqpHWvbRkRETUtiYgLHtZFwWLkSgkyG8vQMJL8wBTn7YtCKv2gmIqqVThX28fHxOHr0KDw8PNC5hoVKcnJy4OfnB4VCgYMHDyIiIgLbt29HeHh4M0dLRERNSRAEWAcHof2ezyFzcoK6rAx3V6xAxqLFUBUXix0eEZHO0anC3t/fHykpKYiLi0OPHj2q7RMVFYX8/HwcOnQII0eOxCuvvIL169cjKioK6enpmn59+vSBnZ1dlZ+ajktERLrJpEsXuB6Ig9mzzwIA8r78EknBk6H4814lIiJ6RKcKe4mk7nCOHz+OYcOGVVpNNCgoCCqVCt9++62m7ezZs8jKyqryc/Fi41Z2JSKi5mdgbQ2Xj6Ng99prgCCg9Pp1JE4KxMMTJ8QOjYhIZ+hUYV8fCQkJmpVGK1hZWcHR0REJCQkiRUVERE1NkEohf+1VuGz/GFJLS6gKCpD62hzc37AB6vJyscMjIhJdi5vHPicnp9oVTa2trfHgwYMnOtaCBQuwZ88e3L17FwMHDoSrqyt+/vnnOrdVJz8/H/n5+ZrHGRkZAB5NjaRUKqv0V6vVEAShSW8C4w1m4lOr1VCpVNX+DZA4KtYyYE50Q0PyYdK/P56Ki0X6vDdQGh+P7E92oOi33+G44T0Y2Nk1YbT6j68P3cJ86Bax8vEk52txhb02rV+/HuvXr3/ibdXZtGkTVq5cWaU9OzsbRkZGVdpLSkpgZGSEci1fZaoo5lVqldaPTU9GpVKhpKQEpaWlAOo31IyankqlQl5eHgDmRBc0OB8yGUw2bYJ661YovvoKxefOIXHCRLRZsRwGXbo0UbT6j68P3cJ86Bax8pGdnV3vvi2usLe2ttb8Uh+Xk5NTadx9cwsPD8f06dM1jzMyMtCnTx/Y2tpCLpdX6V9cXAxBEGBgoN0UCEIZAEAiSLR+bHoyEokExsbGMDY2hp2dHRcX0REVVz6YE93Q6HysjUTeM8/g/rvvQp2djYdvhEP+5puw+vuLEARBy9HqP74+dAvzoVvEykfFBcL6aHGVX6dOnaqMpc/Ly0NGRkaVsffNycLCAhYWFlXapVJptcmv+AdH2//wPH601vaP2o4dO7Bu3TrcuXMHHTt2xJo1azBmzJha9zl37hyWLFmCy5cvIycnB/b29hg+fDhWrVoFJyenRsckCAIkEkmNfwckDuZEtzQ2HzYTJ8DUuzNS576Osjt3kLluHUp+/w2Oq1ZD2sZMy9HqP74+dAvzoVvEyMeTnKvFfa8zevRonDhxArm5uZq22NhYSCQSjBgxQrzASFT79u3DjBkzEBwcjOPHj6Nfv34YP348zpw5U+t+OTk56NSpEzZv3oxvvvkGK1aswMmTJzFq1Kgn+oRMROIy7tQJHeJi0WboUADAw+NfIykoCKU3b4ocGRFR8xHUOnSHZVFREY4dOwYA+Oijj3Dr1i1s2rQJADBo0CDI5XLk5OTA29sbnp6eWLJkCdLS0hAeHo4pU6Zg69atYoZfSWpqKlxcXJCSkgJnZ+cq25P+nH/Z1dVVq+fNu1+E0uJyGJvJYGFnotVj67KOHTuiZ8+e2LNnj6atf//+sLKy0vxN1dd3332HESNG4Mcff0T//v0bHFNSUhLUajVMTEwgl8t5tUVHKJVKZGZmMic6Qtv5UKtUyN6xA5nvfwCoVBBMTeG46l1YPv9844NtBfj60C3Mh24RKx911ZSP06kr9vfv30dgYCACAwPx/fffIyUlRfM4Pj4ewKMx9idPnoSBgQECAgKwaNEiTJ8+XfMBgMSxc+dOeHh4wNTUFAMHDsSVK1dw+PBh2NvbQ6VSNem5b9++jevXryMoKKhS++TJk3Hy5MknvvJua2sLAFAoFFqLkYiahyCRwG7GDDy1cyektrZQFxUh/c23cHf1Gqj5miYiPadThb2rqyvUanW1P4MHD9b08/LywokTJ1BUVIR79+7hvffeg6GhoXiBt3K7d+9GaGgogoKC8MUXX0ClUiEkJARxcXEYM2ZMrXeOq9VqlJeX1/lTm4p7Lv56j4WXlxcUCgUSExPrfA5KpRIKhQIJCQlYsGABevTogWf/XOWSiFoes2f6osPBgzD5c7XxnM8+Q/LfX0LZ3bsiR0ZE1HRa3M2z+qxMWYb0wvRGHeNhYTEUJUoYwQBtDI0bdAwnMyfIpLJ694+MjISfnx8iIiIAAM7OzvD29sa1a9ewf//+WveNjo7GtGnT6jxHYmJijcOWcnJyAKDK+gbW1tYAUK/1DQYNGoQff/wRANCrVy8cO3aMswoRtXAy+7ZoH70b9zdsxIPoaBT/9hsSx09Au00bYdavn9jhERFpHSsXHZJemI4xh2qfxaU5HBl/BO0t2terb35+Pq5fv46ZM2dq2jp37gy5XI7CwkIMHz681v39/f1x7ty5Os+jjRlqarNjxw7k5ubi5s2bWLduHYYNG4Yff/yx2pmOiKjlEGQy2C9eBBPf7shY8jaUOTm4Ezod8rlzYTtzBgTODU5EeoSFPTVKQUEBAMDR0bFSu4+PDywsLGBiUvsNvDY2NrC0tKzzPLVdPa+4Mp+XlwcHBwdNe8WV/Pqsb9CxY0cAQN++fTFs2DC0b98e27dvx1tvvVXnvkSk+yxGjYKRpydS586F4uYtZH7wAYp//RVO69ZCWo/3ICKiloCFvQ5xMnPCkfFHGnWMh9l/DsUxNUAb64YPxakvuVwOiUSC/Pz8Su137tzBgAED6txfG0NxKsbWJyQkaAr0iseGhoZwc3Or8/iPs7e3h7OzM25ymjwivWLk5oYOMTHIWLYc+UePouD775E4KRDOWzbD2MtL7PCIiBqNhb0OkUll9R4CU5O8kiKUSv6c7tKi6ae7lMlk8PLywrlz5xAWFgYAuHDhAm7dulVlzHt1tDEUx83NDZ6enoiNjcW4ceM07TExMRg6dOgT31idkpKC5OTkJ/5AQES6T2JmBqcN78HE1xf31q1DWUoKkiaHwGHZMlhNnCB2eEREjcLCnhpt3rx5mDNnDsaOHYuBAwdi0aJF6N27N86fP49Lly7B19e3xn1tbW0100s2xooVKzBlyhS4u7tjyJAhiImJwS+//ILTp09r+iQnJ8Pd3R3Lli3DsmXLAABhYWGws7NDr169YGlpiWvXrmHjxo2wt7dHaGhoo+MiIt0jCAJsXpwCY+/OSJv3Bsrv3UPG22+j+NdLsF+6FBIjI7FDJCJqEN41RI0WGhqKxYsXY/bs2XBwcMDDhw9x5MgRLF68GAMGDMDu3bubPIaQkBD861//wp49ezBy5Ej8+OOPOHToEPo9NvOFWq2GUqmsNK9+nz59cOLECUybNg3PP/88PvjgAzz33HO4cOGCVj5wEJHuMvX1RYeDB2D6zDMAgNzYOCSHvABFaqrIkRERNYxOrTyrT7jyLHHlWd3ElRx1iy7kQ61UInPLh8j++GMAgMTSEu3Wr0ObQYNEiUdMupAP+h/mQ7dw5VkiIiIdJ0ilaPvGPDhv2waJuTlUeXlI+UcYMrdsgVqpFDs8IqJ6Y2FPREQEwNxvCDocPACjP2fIydr2T6TMmInyeixyR0SkC1jYExER/cnQxQWue/fA8s8Zcgp/+gmJEyai+NdfxQ2MiKgeWNgTERE9RmJsDKc1a+C4ehUEQ0OU372LpL+/hAeffQ7elkZEuoyFPRERUTWsJk1C+717IHN2BsrKcG/1aqS/+RZUhYVih0ZEVC0W9kRERDUw8fZGhwNxaDN4MAAg/9gxJAYFo/TWLXEDIyKqBgt7IiKiWkgtLeG87SPI580DJBIobt1CYmAQ8o8dEzs0IqJKWNgTERHVQZBIYBf2Dzy14xNIbWygLipCWvibuLsmAmqFQuzwiIgAsLAnIiKqN7N+/dDh0EGY+PoCAHL+/W8kv/Qyyu7eFTkyIiIW9vpHEDsAIiL9JrO3R/tPo2Hz8ksAgOJff0Xi+Ako/OknkSMjotaOhT3pjR07dsDT0xPGxsbo1q0bjhw5Uu99jx49iv79+8PMzAzW1tYYMmQIUlNTmzBaImrJBJkM9osXo937myAxNYUyJwd3QqcjKyoKapVK7PCIqJViYU96Yd++fZgxYwaCg4Nx/Phx9OvXD+PHj8eZM2fq3Pezzz7DhAkTMHjwYBw5cgTR0dHo1asXSkpKmiFyImrJLEaPhmtcLAw93AG1GpkfbEbq7FehzMsTOzQiaoUENVfbaBKpqalwcXFBSkoKnJ2dq2xPSkoCALi6umr1vHmZRSgtKoexmQwWdiZaPbYu69ixI3r27Ik9e/Zo2vr37w8rKyscq2XmigcPHqBDhw5Yu3YtZs2apdWYkpKSoFarYWJiArlcDqlUqtXjU8MolUpkZmYyJzpCX/KhKixExrLlyD96FAAgc3aG85bNMO7cWeTInoy+5ENfMB+6Rax81FVTPo5X7Ekrdu7cCQ8PD5iammLgwIG4cuUKDh8+DHt7e6ia+Gvp27dv4/r16wgKCqrUPnnyZJw8eRKlpaU17rt//34olUqEhoY2aYxEpN8kZmZw2vAe7JcuBQwMUJaaiqTJIcg9cEDs0IioFTEQOwD6H7VCgbL09EYdo/xBCZQl5Sg3kUFRYNSgY8icnCAYGta7/+7duxEaGorFixdj8ODBWLlyJUJCQtCtWzeMGTMGEknNnx/VajWUSmWd5zAwqPlPNSEhAQDQqVOnSu1eXl5QKBRITEyssq3CmTNn0KlTJ0RHR2P16tVIS0uDj48PIiMjMXr06DrjIiKqIAgCbF6cAmPvzkib9wbK791DxttLUfzrr7BfuhQSo4a9JxMR1RcLex1Slp6OW6O0V0zea+B+7l8fh+ETDBGKjIyEn58fIiIiAADOzs7w9vbGtWvXsH///lr3jY6OxrRp0+o8R2JiYo3DlnJycgAAVlZWldqtra0BPBpuU5O7d+/i2rVreOedd7B+/Xo4Ojrio48+wtixY/Hrr7/C29u7ztiIiB5n6uuLDgcPIO3Nt1B05gxyY+NQEn8F7bZshmEdX6MTETVGqy7slyxZgr179yIpKQk3btyAh4eHZtuIESNw796j0tjBwQGffPIJXFxcxApVZ+Xn5+P69euYOXOmpq1z586Qy+UoLCzE8OHDa93f398f586dq/M8Tk5OjY61OiqVCgUFBfj8888xduxYAMDgwYPh6emJdevW4dNPP22S8xKRfjOwtcVTOz5B5pYPkf3xxyi5cgWJEybCaf06mA8eLHZ4RKSnWnVhP2bMGMyaNQsDBw6ssi02NhaWlpYAgM2bN2PhwoWVbsxsCjInJ7h/fbxRx3j4oASKknIYmcjQxrrhQ3Hqq6CgAADg6OhYqd3HxwcWFhYwMan9Bl4bGxvN77k2tQ3Fqbgyn5eXBwcHB017xZV8GxubOvf18/PTtMlkMvztb3/DH3/8UWdcREQ1EaRStH1jHky6dUP6woVQ5ecjNWwW7GbPht1rr0KoZZgiEVFD6FRhf/PmTWzYsAFnzpzBH3/8gU6dOlVbXCUkJGDOnDn46aefYG5ujpdeegmrV6+G4ROMCwcezZpSk8eLzfz8/Cc6bkMJhoZPNASmOgZmRVAWlcPATAbDZpgVRy6XQyKRVPkd3blzBwMGDKhzf20MxakYP5+QkICOHTtq2hMSEmBoaAg3N7caj1vbUBtOd0lE2mDuNwQdDh5A6tzXUXr1KrK2bUPJ1atwem89pG3aiB0eEekRnSrs4+PjcfToUfTt2xcqlara2VRycnLg5+eHp59+GgcPHkRaWhrCw8NRVFSErVu3ajWe4OBgnD59GnZ2dvj222+1emx9IZPJ4OXlhXPnziEsLAwAcOHCBdy6davKmPfqaGMojpubGzw9PREbG4tx48Zp2mNiYjB06NBaP/CNGTMGy5cvx4kTJxAQEAAAUCgU+M9//oO//e1vdcZFRFQfhi4ucN27B3eXr0Del1+i4NQpJAUFw3nrVhi5dRA7PCLSEzpV2Pv7+2sKs6lTp+L8+fNV+kRFRSE/Px+HDh3SDLEoLy/H7NmzsWTJEk0B2KdPH9y+fbvK/k899RQuXrxYr3hiYmKgVquxceNGrFq1Ctu2bWvoU9Nr8+bNw5w5czB27FgMHDgQixYtQu/evXH+/HlcunQJvr6+Ne5ra2sLW1vbRsewYsUKTJkyBe7u7hgyZAhiYmLwyy+/4PTp05o+ycnJcHd3x7Jly7Bs2TIAQI8ePTBx4kTMnDkTDx480Nw8e+/ePcyfP7/RcRERVZAYG8NxbSSMvTvj3rr1UNy+jaSgIDhteI/j7olIK3RqgF9t0yJWOH78OIYNG1Zp3HRQUBBUKlWlq+pnz55FVlZWlZ/6FvUVBEHA9OnTeRNlLSqmupw9ezYcHBzw8OFDHDlyBIsXL8aAAQOwe/fuJo8hJCQE//rXv7Bnzx6MHDkSP/74Iw4dOoR+/fpp+lRMrfnXb4Kio6MxefJkLFq0COPHj0dOTg5OnDiBLl26NHncRNS6CIIAm5dewlOf/AtSS0uoCgqQOms2sqI+BteLJKLG0qkr9vWRkJCAV155pVKblZUVHB0dNfOZN1Z+fj4ePnyIdu3aAXh0I62Pj49Wjq2PBEGodBW8wpo1a7BmzZpmiyM0NLTWhaZcXV2r/YfTzMwMW7ZswZYtW5oyPCIiDbN+/eB6IA6pr76G0mvXkPnBB4/G3UesgcTMTOzwiKiFanGFfU5OTrVjt62trWudr7w6CxYswJ49e3D37l0MHDgQrq6u+Pnnn5GXl4eJEyeiuLgYgiDgqaeewmeffVbrsfLz8yvdQJqRkQHg0fLD1S3ApFarIQiC9q/QqP/3H179EZ9arYZKparXIlzUPCq+tWFOdENrzofU0REun/0bd5e+g4JvvsHDb75BYuJtOG3ZAkORplduzfnQRcyHbhErH09yvhZX2GvT+vXrsX79+irtLi4uOHv27BMda9OmTVi5cmWV9uzsbBhVs9pgSUkJjIyMUF5e/kTnqYvqz2JerVJp/dj0ZFQqFUpKSlBaWgqgfkPNqOmpVCrk5eUBYE50AfMBGCxaCOOnXFDyyQ4ort9AclAwzJYtg6xXz2aPhfnQLcyHbhErH9nZ2fXu2+IKe2tra80v9XE5OTm1zlfe1MLDwzF9+nTN44yMDPTp0we2traQy+VV+ld8G1Db/OwNIZGUAQAEiUTrx6YnI5FIYGxsDGNjY9jZ2UEqlYodEuF/Vz6YE93AfPxp3jwU+Pri7oJH890XLFgAuzfDYf3yyxAEodnCYD50C/OhW8TKR8UFwvpocZVfp06dqoylz8vLQ0ZGhmY+czFYWFjAwsKiSrtUKq02+RVv1E31hi004bGp/gRBgEQiqfHvgMTBnOgW5uMRSz8/GO/fj9TXXoPi9m1kvbcBpb9fhuOa1c063z3zoVuYD90iRj6e5Fwt7nud0aNH48SJE8jNzdW0xcbGQiKRYMSIEeIFRkRE1EhGbh3guj8GbYYNBQA8/OYbJAUGofTGDZEjI6KWQKcK+6KiIsTFxSEuLg7JycnIz8/XPM7MzAQAhIWFwdzcHAEBAfj222+xa9cuzJ8/H2FhYbUuYkRERNQSSNu0gfOHH6Lt/LcAiQSKxEQkBgUj78hRsUMjIh2nU0Nx7t+/j8DAwEptFY9PnTqFwYMHw9raGidPnsScOXMQEBAAc3NzTJ8+vVmnVSQiImpKgiDANjQUxj5dkPbmm1BmZSH9rbdQfOkS7BcugFDLitpE1HrpVGFf0zzjf+Xl5YUTJ040Q0RERETiMevbBx0OHEBaeDiKL1xAzuefo+SPP9Dug/chc3QUOzwi0jE6NRSHiIiIKpPZt0X73btg8/LLAIDi335D4oSJKPzpJ5EjIyJdw8Ke9EJMTAwmTpwIZ2dnCIKADRs2iB0SEZHWCDIZ7BcvQrsP3ofE1BTKnBzcCZ2OrKgoqFUqscMjIh3Bwp70QlxcHG7fvo0xY8aIHQoRUZOxGDUKrnGxMPRwB9RqZH6wGXdCQ1F665bYoRGRDmBhT3ohJiYGly5dQlRUlNihEBE1KSM3N3SIiYHF888DAIp+PoPb4wJwL3ItlA8fihwdEYmJhT1pxc6dO+Hh4QFTU1MMHDgQV65cweHDh2Fvbw9VM3xNzKW2iag1kZiZwWnDe3DauAEGDg5AeTkeREfj1shRyI2L4/AcolaK1RA12u7duxEaGoqgoCB88cUXUKlUCAkJQVxcHMaMGVNr0a1Wq1FeXl7nDxERVSYIAiyffx7ux47CdlYYBENDKB88QMbSd5AUFIyiS5fEDpGImplOTXfZ2inLVXiYXdKoYzzMKYaiWInS4nKolHVPHVodc1tjSA3q/5kvMjISfn5+iIiIAAA4OzvD29sb165dw/79+2vdNzo6GtOmTavzHImJiXB1da13TERErYXE1BRtX38dVhMm4N66dSg4cRIlf/yB5JAXYDluHORvhkPWtq3YYRJRM2Bhr0MeZpfg8+VnxA4DU1Y+Ayt703r1zc/Px/Xr1zFz5kxNW+fOnSGXy1FYWIjhw4fXur+/vz/OnTtX53m4qjARUe0MXVzgsnUrCn74EfciIqC4fRt5X36Jh999B7vZs2D90kuQcGErIr3Gwp4apaCgAADg+JeFUnx8fGBhYQETE5Na97exsYGlpWWd5zEw4J8qEVF9tHl2AMy+/AIPPv8cWVs/gqqgAPc3bERubBzslyxGm0GDxA6RiJoIqyUdYm5rjCkrn2nUMSqG4hiaGMDc2rjBcdSXXC6HRCJBfn5+pfY7d+5gwIABde7PoThERNonyGSwnToVlmPG4P777yPv4CEokpOR8o8wtBk0CPaLF8GQ76lEeoeFvQ6RGkjqPQSmJoIEKC0qh5GpDJby2q+Wa4NMJoOXlxfOnTuHsLAwAMCFCxdw69YtWFlZ1bk/h+IQETUdAzs7OK1ZA+vJk3F39WqU/PY7Cv7zHxT89BNsp74M23+EQdrGTOwwiUhLWNhTo82bNw9z5szB2LFjMXDgQCxatAi9e/fG+fPncenSJfj6+ta4r62tLWxtbRsdw5UrV3DlyhXN48uXLyMuLg5mZmYYPXp0o49PRNSSmXTpAte9e5F3+DDub9wIZWYWsv/1CfK++BJt578FC39/CIIgdphE1Eic7pIaLTQ0FIsXL8bs2bPh4OCAhw8f4siRI1i8eDEGDBiA3bt3N3kM+/fvR2BgIAIDAwEAn376KQIDAzFr1qwmPzcRUUsgSCSwCgiA+/HjsAl9BZDJUJ6ZifQFC5Ec8gKK/4gXO0QiaiRBrVY3bE5EqlVqaipcXFyQkpICZ2fnKtuTkpIAQOvjxvMyi5p1KA7VLCkpCWq1GiYmJpDL5ZBKpWKHRACUSiUyMzOZEx3BfIin9HYi7kVGovC//33UIAiwmDABqmf6wtLKigv/6QCVSoW8vDxYWloyHzqgIh8Ofn6QmTZu6PSTqKumfByH4hAREbVCRm4d4LL9YxR8/z3urV2LsuQ7yD9wADhwAAViB0eVMB+6RXniu2Yt7J8EP/7pHY6RJCKi+hEEAeZDhsDtq68gfzMcEgsLsUMiokbgFXsiIqJWTmJoCLsZM2A1dSoy792D3M6OQ6N0gFKpRGZWFvOhIyryYeDgIHYoNWJhT0RERAAe3WArGBhAkMkgsJAUHfOhWzT50OEZpDgUh4iIiIhID7CwJyIiIiLSAyzsRSKVSqFUKsUOg5qQUqnkmEgiIiJqNizsRWJsbAyFQoHs7GyxQ6EmkJ2dDYVCASMjI7FDISIiolaCN8+KxM7ODqWlpbh//z5yc3O1dmVXUaKEqlwFSbEEOYW8WiwGpVIJhUIBc3Nz2NraIisrS+yQiIiIqBVgYS8SQRDQrl07ZGVloaSkRGvDcjLv5CM/qwQWdsZo52mtlWPSkzE0NISFhQXs7OygUqnEDoeIiIhaCRb2IhIEAXK5XKvHvHaiALfP58CjlzlcR7hq9dhEREREpLs4xp6IiIiISA+wsCciIiIi0gMs7ImIiIiI9AALeyIiIiIiPcCbZ5tIeXk5ACAjI6NZz5v54C5yCrKR+UCF1FSrZj03VaVUKpGdnY3S0lIuVqUjmBPdwnzoFuZDtzAfukWsfFTUkhW1ZW1Y2DeRzMxMAECfPn3ECeBzAAvFOTURERERaVdmZiZcXV1r7SOo1Wp184TTupSUlODy5cuQy+UwMGi+z08ZGRno06cPzp49C0dHx2Y7L1WP+dA9zIluYT50C/OhW5gP3SJWPsrLy5GZmYkuXbrA2Ni41r68Yt9EjI2N0bt3b9HO7+joCGdnZ9HOT5UxH7qHOdEtzIduYT50C/OhW8TIR11X6ivw5lkiIiIiIj3Awp6IiIiISA+wsNczFhYWWL58OSwsLMQOhcB86CLmRLcwH7qF+dAtzIduaQn54M2zRERERER6gFfsiYiIiIj0AAt7IiIiIiI9wMKeiIiIiEgPsLAnIiIiItIDLOz1SEJCAoYPHw4zMzM4ODhgwYIFUCgUYofVKty8eRNhYWHo3r07DAwM4OPjU22/HTt2wNPTE8bGxujWrRuOHDnSzJHqv9jYWIwbNw7Ozs4wMzND9+7dsXPnTvx1ngDmonkcO3YMgwYNglwuh5GREdzc3BAeHo68vLxK/b766it069YNxsbG8PT0xK5du0SKuHUpKCiAs7MzBEHA+fPnK23ja6Tp7d69G4IgVPlZtGhRpX7MRfOKjo6Gr68vjI2NYWdnh9GjR6O4uFizXZffr1jY64mcnBz4+flBoVDg4MGDiIiIwPbt2xEeHi52aK1CfHw8jh49Cg8PD3Tu3LnaPvv27cOMGTMQHByM48ePo1+/fhg/fjzOnDnTzNHqt02bNsHU1BQbN27EV199hdGjR2PGjBl49913NX2Yi+bz4MED9O3bF1FRUfjmm28QHh6OTz/9FIGBgZo+P/zwA8aPH49+/frh+PHjCA4ORmhoKOLi4kSMvHVYtWoVysvLq7TzNdK8vv76a/z888+an1dffVWzjbloXmvWrMGcOXMQHByMb775Bh9//DE6dOgApVIJoAW8X6lJL0RERKjNzMzU2dnZmraPP/5YLZVK1WlpaSJG1joolUrN/7/88stqb2/vKn08PT3VISEhldr69eunHj16dJPH15pkZmZWaZsxY4bawsJCkyfmQlzbt29XA9C8N40YMULdv3//Sn1CQkLUXl5eYoTXaly9elVtZmamjoqKUgNQnzt3TrONr5HmsWvXLjWAat+3KjAXzSchIUFtYGCgPnbsWI19dP39ilfs9cTx48cxbNgw2NjYaNqCgoKgUqnw7bffihhZ6yCR1P5Sun37Nq5fv46goKBK7ZMnT8bJkydRWlralOG1KnZ2dlXafH19kZ+fj8LCQuZCB9ja2gIAFAoFSktLcerUqUpX8IFH+bh69SqSkpJEiLB1mDNnDsLCwtCxY8dK7XyN6A7monnt2rULHTp0wOjRo6vd3hLer1jY64mEhAR06tSpUpuVlRUcHR2RkJAgUlRUoSIHf82Rl5cXFAoFEhMTxQir1fjhhx/Qrl07mJubMxciUSqVKCkpwcWLF/Huu+9i7NixcHV1xa1bt1BWVlZtPgDw/auJxMXF4fLly1i2bFmVbXyNND9vb29IpVK4ubkhMjJSM+yDuWheZ86cQZcuXbB69Wq0bdsWhoaGGDBgAH755RcAaBHvVwZiB0DakZOTAysrqyrt1tbWePDgQfMHRJXk5OQAQJUcWVtbAwBz1IR++OEH7Nu3Dxs3bgTAXIilffv2SEtLAwCMGjUKe/bsAcB8iKGoqAjh4eGIiIiAhYVFle3MSfNxdHTEypUr0bdvXwiCgMOHD2Pp0qVIS0vD1q1bmYtmdvfuXVy4cAGXL1/Gtm3bYGpqioiICIwYMQI3btxoEflgYU9Eeis1NRXBwcEYMmQI5s6dK3Y4rdqxY8dQWFiI+Ph4rF69Gv7+/vjuu+/EDqtVWr16Nezt7TFt2jSxQ2n1Ro4ciZEjR2oejxgxAiYmJnj//ffx9ttvixhZ66RSqVBQUIC4uDh07doVAPDMM8/A1dUVW7durZQrXcWhOHrC2tq6yvRxwKMrL4+PuydxVHya/2uOKj79M0fal5ubi9GjR8PW1hYHDhzQ3AfBXIija9eu6NevH6ZPn44vv/wSp06dwqFDh5iPZpacnIyNGzdi5cqVyMvLQ25uLgoKCgA8mvqyoKCAORFZUFAQlEolfv31V+aimVlbW8PW1lZT1AOPfse+vr6Ij49vEflgYa8nOnXqVGVsV15eHjIyMqqMBaPmV5GDv+YoISEBhoaGcHNzEyMsvVVcXIwxY8YgLy8Px48fh6WlpWYbcyG+rl27QiaT4ebNm3B3d4dMJqs2H0DVscXUOImJiVAoFHj++edhbW0Na2tr+Pv7AwCGDBmCYcOG8TWiQ5iL5uXt7V3jtpKSkhbxfsXCXk+MHj0aJ06cQG5urqYtNjYWEokEI0aMEC8wAgC4ubnB09MTsbGxldpjYmIwdOhQGBoaihSZ/ikvL0dQUBCuXr2Kr7/+Gu3atau0nbkQ3y+//IKysjK4ubnByMgIQ4YMqTIHdExMDLy8vODq6ipOkHqqe/fuOHXqVKWf999/HwAQFRWFbdu28TUisn379kEqlcLX15e5aGZjxoxBdnY2fv31V01bdnY2Ll68iJ49e7aI9yuOsdcTYWFh+PDDDxEQEIAlS5YgLS0N8+fPR1hYGJycnMQOT+8VFRXh2LFjAB591Z2fn6954VesurlixQpMmTIF7u7uGDJkCGJiYvDLL7/g9OnTYoaud2bPno0jR45g48aNyM/Pr7SIi6+vL4yMjJiLZjRhwgT06tULXbt2hYmJCX777Te899576Nq1KwICAgAA77zzDgYPHozZs2cjKCgIp06dwp49exATEyNu8HrIysoKgwcPrnZbz5490aNHDwDga6SZjBw5En5+fujSpQsA4PDhw9i+fTtef/11ODg4AGAumlNAQAB69+6NSZMmYc2aNTAxMUFkZCSMjIwwe/ZsAC3g/UrsifRJe65cuaIeOnSo2sTERN22bVv1W2+9pS4tLRU7rFYhMTFRDaDan1OnTmn6ffLJJ2oPDw+1oaGhukuXLuqvvvpKvKD1VPv27WvMRWJioqYfc9E8IiMj1d27d1ebm5urzczM1N7e3up33nlHnZeXV6nfl19+qe7SpYva0NBQ7eHhod6xY4dIEbc+p06dqrJAlVrN10hzmDt3rvrpp59Wm5iYqI2MjNRdunRRb968Wa1SqSr1Yy6aT2ZmpvrFF19UW1paqk1MTNQjRoxQx8fHV+qjy+9XglqtVovyiYKIiIiIiLSGY+yJiIiIiPQAC3siIiIiIj3Awp6IiIiISA+wsCciIiIi0gMs7ImIiIiI9AALeyIiIiIiPcDCnoiIiIhID7CwJyIiIiLSAyzsiYio0b744gts27at2c+7YsUKtGnTptnPS0Ski1jYExFRo4lV2BMR0f+wsCciIiIi0gMs7ImIqE7x8fF47rnnYGtrC1NTU3Ts2BHr168HAEydOhXR0dGIj4+HIAgQBAFTp07V7Pvzzz/Dz88PZmZmsLS0xAsvvID79+9rticlJUEQBERHRyM0NBSWlpawsbFBeHg4ysvLnzjWd999F6ampjh27FijnzcRUUtiIHYARESk+/z9/WFvb48dO3bA0tISN2/eRGpqKgDgnXfeQWZmJhISEvD5558DAORyOYBHRf3gwYPx3HPPISYmBoWFhVi6dCnGjRuHn3/+udI5lixZghEjRmD//v24ePEili1bBkNDQ6xdu7becc6fPx9RUVE4duwYBg8erJ0nT0TUQrCwJyKiWmVlZSExMRGbN2+Gv78/AGDIkCGa7e7u7pDL5UhOTsYzzzxTad9FixahV69eOHjwIARBAAB06dIFPj4+OHbsGJ577rlKx9m1axcAYOTIkSguLsbGjRuxcOFCWFtb1xqjWq3G7NmzERMTgxMnTqBv375aee5ERC0Jh+IQEVGtbG1t0b59eyxevBjR0dGaK/V1KSoqwo8//ojAwEAolUqUl5ejvLwcnp6ecHFxwblz5yr1Hz9+fKXHkyZNQlFRES5fvlzredRqNV566SUcPHgQp06dYlFPRK0WC3siIqqVIAj49ttv4eXlhVdffRUuLi7o1asXTp8+Xet+OTk5UCqVeOONNyCTySr93LlzBykpKZX6t23bttJje3t7AEBGRkat51EoFDh8+DCeffZZdOnSpQHPkIhIP3AoDhER1cnT0xOxsbEoKyvDTz/9hCVLlsDf3x9paWk1ziNvZWUFQRCwZMkSBAQEVNluZ2dX6fHjN9QCwL179wAAjo6OtcZmZGSEo0ePYtSoUZg1axY+/vjjJ3hmRET6g1fsiYio3mQyGQYNGoRFixYhPz8f6enpAABDQ0OUlJRU6mtmZoZ+/frh6tWr6NWrV5UfV1fXSv0PHTpU6XFcXBxMTU3rdRX+2WefxeHDh/Hpp59i3rx5jXqOREQtFa/YExFRrX7//Xe8+eabCA4Ohru7O/Ly8hAZGQlXV1e4u7sDALy8vLBz507s3bsXTz/9NOzs7ODq6or33nsPfn5+CA4OxuTJk2FtbY3U1FR89913mDZtWqWZa27duoVp06Zh8uTJuHjxIiIjI/HGG2/UeeNsBT8/Pxw8eBABAQEwNTVFREREU/w6iIh0Fgt7IiKqlYODAxwcHBAZGYm0tDRYWlpi4MCB+OyzzyCVSgEAoaGhOHv2LObMmYPs7Gy8/PLL2L17N/r3748ffvgBy5cvx7Rp06BQKODs7IyhQ4fCw8Oj0nnWrFmD77//HoGBgZBKpXj11VexZs2aJ4p19OjRiImJQWBgIExMTPDOO+9o7fdARKTrBLVarRY7CCIiar2SkpLQoUMHxMbGYtKkSWKHQ0TUYnGMPRERERGRHmBhT0RERESkBzgUh4iIiIhID/CKPRERERGRHmBhT0RERESkB1jYExERERHpARb2RERERER6gIU9EREREZEeYGFPRERERKQHWNgTEREREekBFvZERERERHqAhT0RERERkR5gYU9EREREpAf+H5+mYDoCdGPeAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "for alpha in [0.05, 0.1, 0.3, 0.6, 1.0]:\n", - " r = opt.consensus_dynamics(init, alpha=alpha, noise_sigma=0.0, n_steps=60, seed=0)\n", - " S = np.array(r['states_flat']).reshape(r['n_steps'], r['n_agents'])\n", - " spread = S.max(axis=1) - S.min(axis=1)\n", - " ax.semilogy(spread, label=f'α = {alpha:g}')\n", - "ax.set_xlabel('step k'); ax.set_ylabel('max_i s − min_i s')\n", - "ax.set_title('Convergence rate vs averaging weight α'); ax.legend(); ax.grid(alpha=0.3)\n", + "\n", + "variances = states.var(axis=1)\n", + "print(f\"Moyenne initiale : {np.mean(x0):.3f}\")\n", + "print(f\"Moyenne finale : {mean_traj[-1]:.3f}\")\n", + "print(f\"Var init / final : {variances[0]:.3f} / {variances[-1]:.3e}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "for i in range(N):\n", + " axes[0].plot(states[:, i], lw=0.8, alpha=0.5)\n", + "axes[0].plot(mean_traj, 'k-', lw=2, label='moyenne')\n", + "axes[0].set_xlabel('itération k'); axes[0].set_ylabel(r'$X_k^i$')\n", + "axes[0].set_title(f\"Consensus (α = {alpha}, σ = {sigma})\")\n", + "axes[0].legend()\n", + "axes[1].semilogy(variances, lw=2, label='variance empirique')\n", + "axes[1].semilogy(variances[0] * (1 - alpha) ** (2 * np.arange(n_steps + 1)),\n", + " ':', label=r'$(1-\\alpha)^{2k}$ Var$(X_0)$')\n", + "axes[1].set_xlabel('itération k'); axes[1].set_ylabel(r'Var($X_k$)')\n", + "axes[1].set_title(\"Décroissance géométrique\")\n", + "axes[1].legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "2c5abb26", + "id": "fb8eccea", "metadata": {}, "source": [ - "**Verified:** without noise, the empirical mean is exactly preserved and the spread decays geometrically." + "**Résultat attendu.** Variance qui décroît exponentiellement.\n", + "\n", + "**Lecture du graphique.** Faisceau qui se concentre vers la moyenne\n", + "(ligne noire) ; pente log-linéaire conforme à la prédiction.\n", + "\n", + "**Conclusion.** Le primitive est validé sur la convergence\n", + "géométrique.\n" + ] + }, + { + "cell_type": "markdown", + "id": "5a91c57b", + "metadata": {}, + "source": [ + "## Cellule 2 — Effet du bruit\n", + "\n", + "**Théorème.** Lorsque $\\sigma > 0$, la variance ne tombe pas à zéro\n", + "mais se stabilise à un niveau d'équilibre proportionnel à $\\sigma^2$.\n", + "\n", + "**Équation pivot.** Variance asymptotique croissante en $\\sigma^2$.\n", + "\n", + "**Ce que la cellule vérifie.** Sweep sur $\\sigma \\in \\{0.05, 0.1,\n", + "0.2\\}$ pour $\\alpha = 0.3$.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "dc879366", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:05:57.665702Z", + "iopub.status.busy": "2026-05-12T14:05:57.665355Z", + "iopub.status.idle": "2026-05-12T14:05:58.012408Z", + "shell.execute_reply": "2026-05-12T14:05:58.011304Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "σ = 0.05 : Var(K) numérique = 0.0048\n", + "σ = 0.10 : Var(K) numérique = 0.0191\n", + "σ = 0.20 : Var(K) numérique = 0.0762\n" + ] + }, + { + "data": { + "image/png": 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fX7Rt2xZ79+61evzz589HWloaXnrpJYvzADmHnJyEhoZCoVBg3rx5FnUmJiZiyZIlVvvXqlULAKzm3q5btw4xMTEW27p3744KFSrgiy++yHGVVqPRWOA6BwwYAGdnZ6xevVq6rMjjl3CJj4+3Oi576LNer0dqamqB7qugz1lesoP24+30119/4dixYwU6R2GfSyKiksaeTSIimYwYMQJ79+7Fhg0bULlyZTz//PMWv3/xxRexYMEC9OjRAyNHjoSTkxMOHz6MvXv3onr16k88tK4kz/+///0Pr732GtavX4/mzZvjxRdfhJ+fH27evIkNGzbg+PHj8PDwQNOmTfHZZ5/ho48+Qr169TBw4EBUrlwZsbGxOHfuHLZu3YqLFy/mOfezR48ecHZ2xqBBg6RLuJw6dQrr169H/fr1ce7cOWnftWvXYsGCBQgNDUX16tXh5OSEkydPYsWKFWjYsCEaNWpkce527dqhTp06WLt2LZRKpdUXAiWlVatWePXVV6HX67Fq1Srcvn0bS5cuhZubm7RPy5YtsWPHDrzzzjto1aoVVCoVOnXqBD8/PyxatAjt2rVDp06dMHr0aOnSJz/++CMaNmyICRMmSOepU6cOXF1d8c0338DJyQkeHh7w8/Oz6iXOVrNmTUycOBHz5s1D69atMXDgQOj1eqxYsQIBAQFWAbJLly6oU6cOPv74Y8TGxqJmzZo4ceIEtm3bhho1alh8yeDk5IQffvgB/fr1Q+3atTF06FCEhIQgNTVVumzO559/nuN1Px/n4uKCl156CevWrYOTkxPatWuHqlWrWuzz2WefYc+ePejduzeqVq0KtVqNP/74A7t27ULv3r2l+cgFUZDnLC+1atVC9+7dsXTpUphMJjRp0gSXLl3C6tWr0aBBA5w5cybfc7Rs2RIA8MEHH+C1116Dg4MD6tWrh3r16hX4cRARFSu5lsElInra6fV60c/PTwQgfvzxxznus23bNrFp06aik5OT6OnpKfbp00e8cOFCjpe9CAoKEtu3b5/jeXK79ElxnD+3cwuCIC5btkxs1qyZ6OTkJDo7O4shISHiuHHjxKysLIt99+zZI/bs2VP09vYW7ezsxICAALFjx47i/PnzxYyMjBwf06MOHz4stmvXTnRzcxNdXV3FTp06iYcPH7a6PMR///0nDhkyRKxZs6bo4uIi1TRt2jQxMTExx3NnXx7j0UuoPCqvS1bk1mY5HZN92YoLFy6I48ePF/39/UV7e3uxfv364vr1663OkZ6eLg4bNkz08/MTlUql1fkuXrwoDhgwQPTx8RHt7OzEoKAgccKECWJycrLVuXbu3Ck+++yzokajEQFY1IzHLn0iiubnduHChWKNGjVEOzs7MTg4WJw5c6a4f//+HC+jcu3aNbFnz56is7Oz6OrqKvbs2VO8dOlSrpdvuXTpkjh48GCxcuXKop2dnejj4yM2adJEnDJlinj79m2r/XOTfVmXnGrK/v3LL78sBgcHi46OjqKbm5vYoEEDce7cuaJOp8v3/IV9zvL6GxVFUbx//774yiuviO7u7qKTk5PYrl078e+//y7wpU9EURTnzp0rVq1aVVSr1Tn+XRIRlSaFKD4FqxMQEREV0dKlSzF69Ghs3boVffv2LbH7mTFjBsLCwnDz5s18V/G1VYcOHULHjh2xatWqAvU+EhFR+cY5m0RERLkQBAFLlixB5cqV0atXL7nLISIiKlM4Z5OIiOgxN2/exNGjR7F7926cP38eX3/9Na+NSEREVEgMm0RERI/5448/MHToUHh7e2PixIkYPXq03CURERGVOZyzSURERERERMWOczaJiIiIiIio2DFsEhERERERUbHjnM0cZGZm4ty5c/D19YVazSYiIiIiIiICAKPRiLi4ONSvXx8ODg557ssklYNz586hefPmcpdBRERERERkk/799180a9Ysz30YNnPg6+sLwNyA/v7+MldjyWQyISEhAd7e3lyGv5Sx7eXF9pcX219ebH/5sO3lxfaXF9tfXrba/jExMWjevLmUmfLCsJmD7KGz/v7+qFy5sszVWDKZTNBoNPD19bWpF93TgG0vL7a/vNj+8mL7y4dtLy+2v7zY/vKy9fYvyHRDLhBERERERERExY5hk4iIiIiIiIodwyYREREREREVO4ZNIiIiIiIiKnZcIIiIiIiIiIpEFEXEx8cjMzMTJpNJ7nLKFVEUkZmZiYyMDCgUihK/P5VKBQcHB/j4+BTb/TFsEhERERFRoYmiiOjoaKSmpsLe3t4mV0wtyxQKBTQaTakETQDQ6/VIS0tDVlYWKlWqVCz3y7BJRERERESFFh8fj9TUVPj5+cHb21vucsodURRhNBqhVqtLLXAmJCQgNjYW8fHxBbqOZn44Z5OIiIiIiAotMzMT9vb2DJrliLe3N+zt7ZGZmVks52PYJCIiIiKiQjOZTBw6Ww6pVKpim3/LsElERERERETFjmGTiIiIiIiIih3DJhERERERERU7hk0iIiIiIiIqdgybZcid2Fs4cnonTl0+JHcpRERERET0hCIiItC1a1c4OzujYsWKmDx5MvR6fbEct3r1aigUCqv/Pvzww5J6OFZ4nc0yZN2Bz7De8A98jQK6t+kvdzlERERERFRESUlJ6NSpE2rWrIlNmzYhOjoaEyZMgE6nw9dff11sx+3Zswfu7u7S7UqVKpXI48kJw2YZYqe0BwAYS+earkREREREVEKWLl0KrVaLzZs3w8vLCwBgNBoxZswYTJ06Ff7+/kU6LiAgwGL/Jk2awMfHp2QfTC44jLYMUSntAABGmesgIiIiIiqP4uLiMHz4cAQEBEClUlkMP3V1dYUoisV2X7t370aXLl2kwAgAAwYMgCAI2LdvX7EfJwf2bJYhdipzz6aJPZtEREREZKP0RgHRyRmy1lDJwxH26sL1q+n1enTv3h33799HWFgYAgMD8e2332Lbtm3o378/2rZtC4Xi4QdxURRhMpnyPa9anXPkioiIwLBhwyy2eXh4wN/fHxEREbmer7DH1a1bF/Hx8QgKCsKIESMwefJkqFSqfOsuDjYZNq9du4Z58+bh2LFjOH/+PEJCQnD+/PlCnePLL7/E+PHj0atXL+zYsaOEKi1dalV2zybTJhERERHZpujkDHScd0jWGg6+3wFVfZwLdczcuXMRERGBM2fOoGbNmgCANm3awMvLC7Vr18bYsWMt9l+zZg2GDh2a73lv3ryJ4OBgq+1JSUnw8PCw2u7p6YnExMRcz1fQ4/z9/REWFoYWLVpAoVBg27Zt+OijjxAdHZ3nnNDiZJNh88KFC9i5cydatGgBQRAgCEKhjr937x7CwsLg5+dXQhXKw06lAcA5m0RERERExe2HH37AG2+8IQVNAHBxcYG/vz+Sk5Ot9u/Tpw+OHz+e73kfn0NZWrp3747u3btLt7t16wZHR0csXLgQ06ZNy3VOaHGyybDZp08f9OvXDwAwZMgQnDhxolDHT548GX379kVkZGRJlCeb7J5NQaGAwaCHSuUoc0VERERERJYqeTji4PsdZK+hMK5fv46rV69i9uzZFtuNRiPi4+NzDGZeXl4Wq7zmJrdhtJ6enkhJSbHanpSUZDEfs7iOA8xzO+fNm4fTp08/vWFTqSz6ukWHDx/Gli1bcPnyZQwcOLAYq5Kf+kHPJgBkZqXDwYFhk4iIiIhsi71aWeghrHKLiooCAFSsWNFi+59//gmdTodevXpZHfOkw2hDQkKs5limpKQgJiYGISEhuZ6vqMfJwSbDZlGZTCa88847he4W1mq10Gq10u2YmBjpfAWZ9Fta1A8WCAKAtIx0uLp4yljN08dkMkEQBJt6TTxN2P7yYvvLi+0vH7a9vNj+8sqv/UVRhEKhKNYVWuWS3UN55coVtG7dGoD58X/00Udo3bo16tWrZ/U4e/fujX///Tffc/v7++fYRs8//zzmzJljMQfz119/hVKpRNeuXSGKovRfYY/LzU8//QSVSoVGjRrluV9eix8V5u+xXIXNb775Bunp6Rg/fnyhjluwYAHCwsKstickJECj0eRwhDyMWQ+f2Puxd6GG7dT2NBAEQRqy8CS971Q0bH95sf3lxfaXD9teXmx/eeXX/pmZmdBoNDAay/6F+WrXro0aNWpg2rRpUKvVcHJywpIlSxAREYFjx47l+Bjd3d3RqFGjAp0/p+OHDx+Or7/+GqGhofjggw9w9+5dTJ48GSNHjoSfnx+MRiNMJhPWrVuHkSNHYu/evWjXrl2BjgOAXr16oUOHDqhXrx4AYMeOHVixYgXGjh0LHx+fXJ83QRCQlZWFuLi4HH+fkJBQoMcMlKOwGRsbi+nTp2Pt2rWwt7fP/4BHTJgwAcOHD5dux8TEoHnz5vD29oavr29xl1pkbm6eQLz5Z0dnjU3V9jTI/hbHx8en1JaLpofY/vJi+8uL7S8ftr282P7yyq/9MzIyoFAocp2TWJao1Wps27YNY8aMwciRI+Ho6Ihu3brhn3/+QY0aNUrkPn19fXHgwAG8++67+N///gdXV1e8+eabmDVrFtRqtUXPo8lkglKphFqtzve4bCEhIVi9ejXu3LkDQRDwzDPPYOHChRg7dqzFJVwep1Qq4eDgkGvWyMrKKvBjLPuvjAemT5+OBg0aoG3bttJqUUajEUajEcnJyXBxccn1D8HNzQ1ubm5W21UqlU29sWnsH87RNJqybKq2p4VSqbS518XThO0vL7a/vNj+8mHby4vtL6+82j87sOQVXMqS2rVr4+DBg6V6n3Xq1MGBAwdy/b1CocDQoUOtrquZ33EAsGjRoiLXpVAocv2bK8zfYrkJmxEREfjzzz/h6Wk9j9HT0xO7d+/G888/L0NlxUdj5yD9nJkl74VyiYiIiIiI8lJuwuaXX35pdf2bcePGwdHREXPmzEGDBg3kKawY2ds97NnUGzNlrISIiIiIiChvNhk2dToddu3aBQCIjIyEVqvFxo0bAQDt27eHr68vOnfujMjISFy7dg0Acpyc6+HhARcXF3To0KG0Si9Rj/ZsGgwMm0REREREZLtsMmzGxsaif//+Ftuybx88eBAdOnSAyWQqFytfFYaDvZP0M3s2iYiIiIjIltlk2AwODs73ej2HDh3K9zwF2acseXSBIL2h4KtAERERERERlTZesKgMsX8kbBpM7NkkIiIiIiLbxbBZhjhqHg6jNRj1MlZCRERERESUN4bNMsTxkTmbBhOH0RIRERERke1i2CxDHp2zyZ5NIiIiIiKyZQybZYhKpYbywcJJJvZsEhERERGRDWPYLGPUDxbpNZgM8hZCRERERESUB4bNMkYFc9rknE0iIiIiorItIiICXbt2hbOzMypWrIjJkydDr897uty1a9cwatQoNGrUCGq1GvXq1SulagvPJq+zSbnL7tk0CezZJCIiIiIqq5KSktCpUyfUrFkTmzZtQnR0NCZMmACdToevv/461+MuXLiAnTt3okWLFhAEAYIglGLVhcOwWcZkh00jwyYRERERUZm1dOlSaLVabN68GV5eXgAAo9GIMWPGYOrUqfD398/xuD59+qBfv34AgCFDhuDEiROlVnNhMWyWMdlPGHs2iYiIiMgmGfVASpS8NbgHAmr7Qh8WFxeHKVOmYNeuXbh//75Fr6GLiwu0Wi0UCkWxlLh792506dJFCpoAMGDAAIwaNQr79u3D4MGDczxOqSw7MyEZNssYlWh+cbNnk4iIiIhsUkoUsLixvDWMPQV4Vy/UIXq9Ht27d8f9+/cRFhaGwMBAfPvtt9i2bRv69++Ptm3bWgRNURRhMpnyPa9anXPkioiIwLBhwyy2eXh4wN/fHxEREYWq3VYxbJYxqgf/N4lGWesgIiIiIipP5s6di4iICJw5cwY1a9YEALRp0wZeXl6oXbs2xo4da7H/mjVrMHTo0HzPe/PmTQQHB1ttT0pKgoeHh9V2T09PJCYmFukx2BqGzTImu2fTJDBsEhEREZENcg809yzKXUMh/fDDD3jjjTekoAmYh876+/sjOTnZav8+ffrg+PHj+Z43ICCg0LWUFwybZYwKCgAiezaJiIiIyDap7Qs9hFVu169fx9WrVzF79myL7UajEfHx8Tku1uPl5QV3d/d8z53bMFpPT0+kpKRYbU9KSrKYx1mWlZ3ZpQTgkZ5Nhk0iIiIiomIRFWVe0KhixYoW2//880/odDr06tXL6pg1a9bAzs4u3/9u3bqV432GhIRYzc1MSUlBTEwMQkJCiueByYw9m2WMuWcTMIn5T0YmIiIiIqL8Zc+dvHr1Ktq0aQMAMJlM+Oijj9C6dWvUr1/f6pgnHUbbo0cPzJ49G8nJydL9b9iwAUqlEt26dSvaA7ExDJtljBLs2SQiIiIiKk7169dHzZo1MXXqVGg0Gjg5OWHRokWIiIjAyZMnczzG29sb3t7eRb7PUaNGYfHixQgNDcXUqVMRHR2NSZMmYdSoUQgICIAoigCAtWvX4s0330R4eDjat28PnU6HXbt2AQAiIyOh1WqxceNGAED79u3h6+tb5JqKG8NmGZPdsymwZ5OIiIiIqFioVCps27YNo0ePxrBhw+Do6Ihu3brh33//RdWqVUvkPj09PREeHo6xY8ciNDQUrq6uGD58OGbNmmWxnyAIMJlMUviMjY1F//79LfbJvn3w4EF06NChROotCobNMkb5YJqtCQybRERERETFJSQkBAcPHizV+6xduzYOHDiQ5z5DhgyxuMRKcHCwFDxtHRcIKmPU2WGTPZtERERERGTDGDbLmIc9m4LMlRAREREREeWOYbOMUT14ygSGTSIiIiIismEMm2WMCioA7NkkIiIiIiLbxrBZxqgU5rApcIEgIiIiIiKyYQybZYxSkT1ns2ysQEVERERERE8nhs0yhsNoiYiIiIioLGDYLGMeDqNlzyYREREREdkuhs0yRqVQAwBMCoZNIiIiIiKyXQybZYwUNtmzSURERERENoxhs4xRKRk2iYiIiIjKg4iICHTt2hXOzs6oWLEiJk+eDL1en+cxGzZsQL9+/VC5cmU4OzujUaNG+P777yGKtpcP1HIXQIWjVqgBkcNoiYiIiIjKsqSkJHTq1Ak1a9bEpk2bEB0djQkTJkCn0+Hrr7/O9bgFCxYgODgY8+fPh6+vL/bv348RI0YgKioKn3zySSk+gvwxbJYxKilsyl0JEREREREV1dKlS6HVarF582Z4eXkBAIxGI8aMGYOpU6fC398/x+O2b98OHx8f6XanTp2QkJCABQsW4OOPP4ZSaTuDV22nEioQtdIOAIfREhEREREVt7i4OAwfPhwBAQFQqVRQKBTSf66ursU6VHX37t3o0qWLFDQBYMCAARAEAfv27cv1uEeDZrZnn30WWq0W6enpxVZfcWDPZhmjzp6zyZ5NIiIiIrJBBpMBd9PvylpDgHMA7FR2hTpGr9eje/fuuH//PsLCwhAYGIhvv/0W27ZtQ//+/dG2bVsoFA8/hIuiCJPJlO951eqcI1dERASGDRtmsc3DwwP+/v6IiIgoVO2HDx9GpUqV4OrqWqjjShrDZhmjUtkDAIwy10FERERElJO76XfRe3NvWWvY8cIOBLkFFeqYuXPnIiIiAmfOnEHNmjUBAG3atIGXlxdq166NsWPHWuy/Zs0aDB06NN/z3rx5E8HBwVbbk5KS4OHhYbXd09MTiYmJBa778OHD+PnnnzF//vwCH1NaGDbLGFX2MFr2bBIRERERFZsffvgBb7zxhhQ0AcDFxQX+/v5ITk622r9Pnz44fvx4vucNCAgozjIt3LlzBy+//DI6duyId999t8Tup6gYNssYO+WDnk2GTSIiIiKyQQHOAdjxwg7ZayiM69ev4+rVq5g9e7bFdqPRiPj4+BwX6/Hy8oK7u3u+585tGK2npydSUlKsticlJVnM48xNcnIyevToAW9vb/z22282tTBQNpsMm9euXcO8efNw7NgxnD9/HiEhITh//nyex8TExGDhwoXYt28frl+/Dnd3d7Rr1w5z5sxBUFDhutBtmVqVvUCQeZz4o+PGiYiIiIjkZqeyK/QQVrlFRUUBACpWrGix/c8//4ROp0OvXr2sjnnSYbQhISFWczNTUlIQExODkJCQPM+ZkZGB3r17IyUlBUePHi1Q6JWDTYbNCxcuYOfOnWjRogUEQYAgCPkec/LkSWzatAnDhg1Dy5YtER8fj08//RTNmzfH+fPn4evrWwqVlzy77DmbCgWMJgF2apXMFRERERERlW3ZcyevXr2KNm3aAABMJhM++ugjtG7dGvXr17c65kmH0fbo0QOzZ89GcnKydP8bNmyAUqlEt27dcj2f0WjEgAEDcOnSJfz111+oVKlSvjXIxSbDZp8+fdCvXz8AwJAhQ3DixIl8j2nTpg0iIiIsuqlbtWqFKlWqYO3atZg4cWKJ1Vua1OqHYdOgz4Kd2knmioiIiIiIyrb69eujZs2amDp1KjQaDZycnLBo0SJERETg5MmTOR7j7e0Nb2/vIt/nqFGjsHjxYoSGhmLq1KmIjo7GpEmTMGrUKAQEBEiXWVm7di3efPNNhIeHo3379hgzZgx27NiB+fPnQ6vV4tixY9I5n332WWg0miLXVNxsMmwWZbxxTis5Va5cGb6+vrh7V96ll4uTnerhi0eXlQ4nJ4ZNIiIiIqInoVKpsG3bNowePRrDhg2Do6MjunXrhn///RdVq1Ytkfv09PREeHg4xo4di9DQULi6umL48OGYNWuWxX6CIMBkMknhM/sanDl1puU2ZFcuNhk2i8uVK1cQGxuL2rVr57mfVquFVquVbsfExAAwd50X5No5pclO+UjYzEiDyS3/ycNUPEwmk/THTqWP7S8vtr+82P7yYdvLi+0vr/zaP3v9kOwQVNbVqlULv//+u9X2knx8ISEh2L9/f473mf3f4MGDMWTIEGn7zZs38zxncdSb1zVEC/P3WG7DpiiKePfddxEQEICBAwfmue+CBQsQFhZmtT0hIcGmuqEBwGB4eIXN+7F3Ya90lLGap4sgCNKKYba42ld5x/aXF9tfXmx/+bDt5cX2l1d+7Z+ZmQmNRgOjkVeALwmPBr7SXBRUEARkZWUhLi4ux98nJCQU+FzlNmzOmDED4eHh2LNnD5ydnfPcd8KECRg+fLh0OyYmBs2bN4e3t7fNLSzk7uoF3Df/7OTkYHP1lWfZf+w+Pj5QqbgwU2lj+8uL7S8vtr982PbyYvvLK7/2z8jIgEKhyPXSHvRksnso1Wp1qYZNpVIJB4fcc0ZWVlaBz1UuXxnLly/HzJkzsXLlSnTu3Dnf/d3c3ODm5ma1XaVS2dwbm4O9g/SzwaS3ufrKO6VSaZOvi6cF219ebH95sf3lw7aXF9tfXnm1f3YA4qX4So5CoZD+K+37ze1vrjB/i+VuPMLmzZsxevRozJw5E8OGDZO7nGJnb/cwbOoNOhkrISIiIiIiyl25CpuHDh3CwIEDMWLECHz88cdyl1Mi7NQP52hmGTJlrISIiIiInmYqlYqLN5VDJpOp2EYS2OQwWp1Oh127dgEAIiMjodVqsXHjRgBA+/bt4evri86dOyMyMhLXrl0DAFy6dAmhoaGoWbMmBg0aZHG9GV9fX1SvXr30H0gJcNA8MozWyLBJRERERPJwcHBAWloaEhISnuh6k2Q7EhISoNfrc5xiWBQ2GTZjY2PRv39/i23Ztw8ePIgOHTrAZDJZrHz1zz//ICUlBSkpKWjdurXFsYMHD8bq1atLvO7SoHmkZ1PPsElEREREMvHx8UFWVhZiY2ORnJzMebUlQBCEUluJ2WQyQa/Xw9XVFT4+PsVyTpsMm8HBwfleH+bQoUMWt4cMGSJdf6Y809g/GjYLvhIUEREREVFxUigUqFSpEuLj45GZmckhtcVMFEVkZWXBwcGhVBYIsre3h5ubG3x8fIrt/mwybFLuHB4JmwYDwyYRERERyUehUPBSfCXEZDIhLi4Ovr6+ZbbXuFwtEPQ0cNA8vGaowcRhtEREREREZJsYNssYjcZJ+pk9m0REREREZKsYNssYtdJe+tkoGGSshIiIiIiIKHcMm2WMSqmC4sHiSQYuEERERERERDaKYbMMyl7VySjoZa2DiIiIiIgoNwybZZD6wVVhTCaGTSIiIiIisk0Mm2WQ6kHYNIqcs0lERERERLaJYbMMkobRmhg2iYiIiIjINjFslkHZPZsmrkZLREREREQ2imGzDFI9+L9RMMpaBxERERERUW4YNssgqWeTczaJiIiIiMhGMWyWQSooAAAm9mwSEREREZGNYtgsg9Tig7ApMmwSEREREZFtYtgsg6SeTYZNIiIiIiKyUQybZZBS6tk0yVwJERERERFRzhg2y6Dsnk0B7NkkIiIiIiLbxLBZBqkePG0mgT2bRERERERkmxg2yyCl1LPJsElERERERLaJYbMMkno2IchcCRERERERUc4YNssgKWxygSAiIiIiIrJRDJtlkPLB0yawZ5OIiIiIiGwUw2YZxGG0RERERERk6xg2yyAlVADYs0lERERERLaLYbMMUj8Im+zZJCIiIiIiW8WwWQYpFQ+G0SpEmSshIiIiIiLKGcNmGaRScBgtERERERHZNobNMkgFNQDABPZsEhERERGRbWLYLIOUygdzNjmMloiIiIiIbBTDZhmU3bMpsGeTiIiIiIhsFMNmGaRSPBhGq5C5ECIiIiIiolwwbJZBquxhtOzZJCIiIiIiG8WwWQapFHYA2LNJRERERES2i2GzDFIrzcNojTLXQURERERElBuGzTJIpTT3bBrZs0lERERERDaKYbMMslNyGC0REREREdk2hs0ySOrZBCAIXCSIiIiIiIhsj02GzWvXrmHUqFFo1KgR1Go16tWrV6DjRFHE559/jipVqsDR0RHPPfccjh07VsLVlr5Hh9EaBEHmaoiIiIiIiKzZZNi8cOECdu7ciRo1aqBOnToFPm7u3Ln45JNPMH78eOzYsQP+/v7o1q0bbty4UYLVlj47lT0AwKhQwGjgMkFERERERGR7bDJs9unTB1FRUdi4cSMaN25coGMyMzMxZ84cTJw4EePHj0fnzp3x888/w8vLC/PmzSvhikuXWurZVECflSFzNURERERERNZsMmwqlYUv6++//4ZWq8WAAQOkbfb29njxxRexa9eu4ixPduoHPZsAoNdnyVgJERERERFRztRyF1BcIiIiAAAhISEW22vXro3bt28jIyMDjo6OOR6r1Wqh1Wql2zExMQAAk8kEk8lUQhUXjclksgibusxUmEw+Mlb09DCZTBAEweZeE08Ltr+82P7yYvvLh20vL7a/vNj+8rLV9i9MPeUmbCYlJUGj0cDBwcFiu6enJ0RRRFJSUq5hc8GCBQgLC7PanpCQAI1GUyL1FpUgCDAZHq5Aez/uHhztXWSs6OkhCAJSUlIAFK33nZ4M219ebH95sf3lw7aXF9tfXmx/edlq+yckJBR433ITNp/EhAkTMHz4cOl2TEwMmjdvDm9vb/j6+spYmTWTyQQXZ1cgyXzb0cne5mosr7K/xfHx8YFKpZK5mqcP219ebH95sf3lw7aXF9tfXmx/edlq+2dlFXwaX7kJm56ensjKykJmZqZF72ZSUhIUCgU8PT1zPdbNzQ1ubm5W21UqlU09sdk06oePz2DKsskayyulUmmzr4unAdtfXmx/ebH95cO2lxfbX15sf3nZYvsXphbb6Y99QtlzNS9fvmyxPSIiQrruZnlhZ/dwaG+WnqvREhERERGR7Sk3YbNVq1Zwc3PDhg0bpG0GgwGbNm1Cz549Zays+NmrHwZngzFTxkqIiIiIiIhyZpPDaHU6nXS5ksjISGi1WmzcuBEA0L59e/j6+qJz586IjIzEtWvXAAAODg6YMmUKZsyYAV9fX9SvXx/ffPMNEhIS8P7778v2WEqCvfphz6aeYZOIiIiIiGyQTYbN2NhY9O/f32Jb9u2DBw+iQ4cOMJlMMBqNFvt88MEHEEUR8+bNQ1xcHBo1aoS9e/eiWrVqpVZ7abC3fzhnU29g2CQiIiIiIttjk2EzODgYoijmuc+hQ4estikUCkyZMgVTpkwpocpsg+aRYbRGY8FXgyIiIiIiIiot5WbO5tPk0WG0BhPDJhERERER2R6GzTLIzu6RBYIMDJtERERERGR7GDbLIJXKXvrZyJ5NIiIiIiKyQQybZZBaaSf9bDQZZKyEiIiIiIgoZwybZZBKoZJ+5pxNIiIiIiKyRQybZZBCoYDqwWq9RpNe5mqIiIiIiIisMWyWUeoHV4YxigybRERERERkexg2y6jsC6SaOGeTiIiIiIhsEMNmGSX1bAoMm0REREREZHsYNsso1YOwaWLYJCIiIiIiG8SwWUZlr0drEoyy1kFERERERJQThs0ySiUqAAAmkWGTiIiIiIhsD8NmGaVGdtjkMFoiIiIiIrI9DJtlVPYTx55NIiIiIiKyRQybZVT2MFpBNMlcCRERERERkTWGzTJK9eCpM7Jnk4iIiIiIbBDDZhmlAns2iYiIiIjIdjFsllHZPZsmMGwSEREREZHtYdgso9izSUREREREtoxhs4xSQQWAPZtERERERGSbGDbLqOxhtAIEmSshIiIiIiKyxrBZRj2cs8mwSUREREREtodhs4xSKR70bIoMm0REREREZHsYNsuo7DmbgoJhk4iIiIiIbA/DZhmlUmQvEMSwSUREREREtodhs4zKDpsCRJkrISIiIiIissawWUapFGoAgEnBsElERERERLaHYbOMejiMlmGTiIiIiIhsD8NmGSX1bDJsEhERERGRDWLYLKPUSg6jJSIiIiIi28WwWUaplHYAuEAQERERERHZJobNMkotLRAkcyFEREREREQ5YNgso9Qqc88m52wSEREREZEtYtgso9QPhtEa2bNJREREREQ2iGGzjMoOmyYFIIrs3SQiIiIiItvCsFlGPRxGC5gEhk0iIiIiIrItDJtllFplDwAwKhQwMmwSEREREZGNKXLYFAQBp06dwrfffovp06dj0qRJ+Pzzz7F582bExcU9cWERERHo2rUrnJ2dUbFiRUyePBl6vT7f4xISEjBq1ChUqVIFzs7OqFevHpYuXfrE9dga+wdh06AADEaTzNUQERERERFZUhf2gOvXr2PJkiVYv3494uLioFKp4OHhAY1Gg+TkZOh0OigUCrRt2xYjRozAwIEDoVQWLtMmJSWhU6dOqFmzJjZt2oTo6GhMmDABOp0OX3/9dZ7H9u/fHxEREZg9ezaqVKmCXbt2YfTo0VCpVBgxYkRhH67NsujZNOgBR3uZKyIiIiIiInqoUClw5MiRqFu3Ls6cOYOwsDCcPn0amZmZiIuLw507d5CWlobY2Fjs2LEDDRs2xOTJk1GnTh38/fffhSpq6dKl0Gq12Lx5M7p3745hw4bh//7v/7B06VLcvXs31+Pu3buHgwcPYvbs2RgyZAg6deqEefPmoV27dvj5558LVYOts1NpAABGAAZDlrzFEBERERERPabQw2gvXLiA8PBwjBo1Cg0aNIBKpbL4vY+PD3r06IGvvvoKt2/fxrRp03Dr1q1C3cfu3bvRpUsXeHl5SdsGDBgAQRCwb9++XI8zGAwAAHd3d4vt7u7u5W7FVnu1uSdTVCiQpc+QuRoiIiIiIiJLhRpG+9133xXq5CqVCoMGDSrUMYB5vuawYcMstnl4eMDf3x8RERG5HhcYGIhu3bph9uzZqFWrFgIDA7F7927s27cP69evz/U4rVYLrVYr3Y6JiQEAmEwmmEy2NR/SZDJBEASoH/RsAkBGRrrN1VkeZbc921oebH95sf3lxfaXD9teXmx/ebH95WWr7V+Yego9ZzMvkZGRCAoKeuLzJCUlwcPDw2q7p6cnEhMT8zx206ZNePnll1G3bl0A5sC7ePFivPTSS7kes2DBAoSFhVltT0hIgEajyeEI+QiCgJSUFBiyjNK22LgYuDm553EUFYfstgdQ6HnI9OTY/vJi+8uL7S8ftr282P7yYvvLy1bbPyEhocD7FmvYfOONN7B//37Y2z9crObMmTNo2LBhcd5NrkRRxNChQ3H16lX8+OOP8Pf3x/79+zFu3Dh4enrilVdeyfG4CRMmYPjw4dLtmJgYNG/eHN7e3vD19S2V2gsq+5sEzzQvINq8zdFZY3N1lkfZbe/j42M1fJxKHttfXmx/ebH95cO2lxfbX15sf3nZavtnZRV8vZhiDZvDhg3DO++8Iw233b17N8aPH5/n0NeceHp6Sin+UUlJSRbzOB+3c+dObNiwAWfPnkX9+vUBAB06dEBsbCwmTpyYa9h0c3ODm5ub1XaVSmVTT2w2pVIJB42TdNto1NtkneWRUqm02dfF04DtLy+2v7zY/vJh28uL7S8vtr+8bLH9C1NLsfbHDh48GIIg4Pvvv8eyZcvw0Ucf4cCBA4U+T0hIiFVATUlJQUxMDEJCQnI97uLFi1CpVKhXr57F9meffRZ3796FTqcrdC22yt7u4fBevaH8PC4iIiIiIiofiqVns169emjWrBmaNm2K119/HW+//TaqVauGP//8E87OzoU+X48ePTB79mwkJydLczc3bNgApVKJbt265XpcUFAQTCYTzp49azF09+TJk/Dz84OTk1Oux5Y19nYPH4vekCljJURERERERNaKpWdzx44d6N27N6KjozFnzhzcv38fN2/exDvvvINFixYV+nyjRo2Cq6srQkNDsW/fPqxatQqTJk3CqFGjEBAQIO3XuXNn1KhRQ7rds2dPVKlSBf/73/+wbt06hIeH44MPPsDq1asxduzY4nioNsPBzkH62WDkdTaJiIiIiMi2FEvPZnBwMIKDgy1WfI2MjMTJkydx8uTJQp/P09MT4eHhGDt2LEJDQ+Hq6orhw4dj1qxZFvuZTCYYjQ9XZXV1dUV4eDimTZuGDz74AMnJyahatSoWLFiAd955p+gP0AY52LNnk4iIiIiIbFehwuaWLVsQGhpaoH2DgoIQFBSEF198sSh1oXbt2vnO9zx06JDVtho1auCXX34p0n2WJfb2j/RsmtizSUREREREtqVQw2hfeuklTJ8+vaRqoUKwUz86jJY9m0REREREZFsKFTYXLlyIzz//HH369IFWq811v8OHD1sMqaXip35kgSAjezaJiIiIiMjGFCpsvvvuu9i/fz+OHz+O5s2b49KlS9LvTCYTfvzxRzRr1gzt2rXDtWvXir1YeshOZS/9bDTqZayEiIiIiIjIWqFXo23fvj1OnDgBNzc3tGjRAuvWrcPnn3+O4OBgDBo0CH5+fti3bx/OnDlTEvXSA2rFw+m2RoFhk4iIiIiIbEuRVqOtXLkyVqxYgY4dO2Lw4MEAgBEjRmD8+PGoVatWsRZIOVMrHwmbJoZNIiIiIiKyLYXu2fz999/Rp08fNG7cGI6Ojhg+fDjUajXu3buHSpUqlUSNlAOFQgGVKAJg2CQiIiIiIttTqLDZoEEDdO3aFTExMVizZg1u3bqFZcuW4cCBAzh27BhatGiBq1evllSt9BiVOWvCxGG0RERERERkYwoVNmvUqIFDhw7hxIkTeO2116BWm4dytm3bFsePH4ejoyOaN2+OXbt2lUixZCl7IK1RMMhaBxERERER0eMKFTY3bdqEtm3b5vi7wMBAHDlyBL1790bfvn0xa9asYimQcvewZ9MobyFERERERESPKfSczbxoNBr88MMPmDt3LsLCworz1JSD7J5NE3s2iYiIiIjIxhQqbH777bfIysrKd7+JEydi9+7dAIBz587h999/L1p1lCeVqAAAGEWGTSIiIiIisi2FCpurV69GUFAQxo8fj7///hsGQ84h5+7du7h16xa6dOmCVq1aISkpqViKJUuqB/83iRxGS0REREREtqVQ19n8559/sHnzZnz11VdYtGgR7Ozs8Mwzz8DX1xcajQbJycm4efMmYmNj4eXlhcGDB2PdunWoWLFiSdX/VDP3bIoQGDaJiIiIiMjGFCpsAsALL7yAF154ATdv3kR4eDhOnDiBmJgYZGZmIigoCN26dUPr1q3RoUMH2NnZlUTN9IAa5rDJBYKIiIiIiMjWFDpsZqtatSqGDx+O4cOHF2c9VAgqmOdsCqJJ5kqIiIiIiIgsFWk1Wr1ej02bNuHGjRvFXQ8VQnbYNIE9m0REREREZFuKFDbt7e3x6quv4vbt28VdDxWCSjQ/fSb2bBIRERERkY0p8nU2Q0JCGDZlxmG0RERERERkq4ocNufMmYPPPvsMJ06cKM56qBCUCvPTJ4Bhk4iIiIiIbEuRFwiaPHkyEhIS0KJFC3h7e6NChQpQKBTS7xUKBc6cOVMsRVLOVMgOm4LMlRAREREREVkqcths0qQJmjZtWpy1UCGpoQIAGNmzSURERERENqbIYXP16tXFWAYVherBMFoTezaJiIiIiMjGFHnOJslPrTD3bAoiwyYREREREdmWJwqbP/zwA9q0aQM/Pz+4ublZ/UclS600d0ybOIyWiIiIiIhsTJHD5rp16zBixAjUq1cP8fHxGDBgAF566SXY29vDz88P77//fnHWSTlQK+0BACLDJhERERER2Zgih8358+fj448/xpIlSwAAY8aMwapVq3Dz5k34+vrCxcWl2IqknKlVD8KmgsNoiYiIiIjIthQ5bF69ehWtW7eGSqWCSqWCVqsFALi6uuKDDz7AokWLiq1IypmdWgPAfOkTkyDKXA0REREREdFDRQ6b7u7uyMrKAgBUqlQJFy9elH5nMpmQkJDw5NVRnpzsnAEAeqUInd4oczVEREREREQPFfnSJ02bNsXZs2fRvXt39O3bF2FhYRAEAXZ2dvj888/RsmXL4qyTcuBs5woAyFCK0OlNcHWwk7kiIiIiIiIisyKHzSlTpiAyMhIAMHPmTERGRmLcuHEQBAHNmjXDsmXLiq1IypmbgzsAQKdUQJeRAbg5yFwRERERERGRWaHC5s2bN1G1alUAQMuWLaXeSw8PD2zduhVZWVnIysriZU9KiZuDBwAgXalEZpoWqOApb0FEREREREQPFGrOZvXq1dGmTRt88803iI+Pt/q9RqNh0CxFbs7mcJmuUCBTlyxvMURERERERI8oVNj86quvIIoi3nnnHQQEBKBXr1748ccfodPpSqo+yoOnsw8AQFQokJrOBZmIiIiIiMh2FCpsjh07FkeOHMHNmzcRFhaGqKgovP7666hQoQJef/117Nq1CyaTqaRqpce4PwibAJCWbt3TTEREREREJJciXfokKCgIU6ZMwdmzZ3H27Fm8++67OHr0KHr37g1/f3+8/fbbOHLkSHHXSo9xcXokbGYmylgJERERERGRpSJfZzNbvXr1MGvWLFy/fh1Hjx5F3759sXTpUrRv37446qM8ODt6ST/rMpNkrISIiIiIiMhSkS998iij0Yg9e/bgp59+wtatWyGKIurXr18cp6Y8ONu7SD/r9CkyVkJERERERGTpiXo2Dx06hLfeegsVK1ZE3759cfToUbz33ns4d+4cTp8+/USFRUREoGvXrnB2dkbFihUxefJk6PX6Ah0bHR2NwYMHw9fXF46OjqhduzbWr1//RPXYInulPdSiCADIMKTKXA0REREREdFDhe7ZPHnyJH788Uf8+uuvuHv3Lnx8fPDKK6/g1VdfRatWrYqlqKSkJHTq1Ak1a9bEpk2bEB0djQkTJkCn0+Hrr7/O89iYmBg899xzqFWrFr777ju4ubnhwoULyMrKKpbabIlCoYCTAGhVQJYxTe5yiIiIiIiIJIUKm8888wyuX78OZ2dn9OvXD6+++iq6desGlUpVrEUtXboUWq0WmzdvhpeXeV6i0WjEmDFjMHXqVAQEBOR67OTJkxEYGIg9e/ZIdXXu3LlY67MljqICWgCZpnS5SyEiIiIiIpIUahhtSEgI1q9fj/v37+OHH35Ajx49ij1oAsDu3bvRpUsXKWgCwIABAyAIAvbt25frcVqtFr/++ivGjBlTInXZIgfR/BTqhQyZKyEiIiIiInqoUD2b27ZtK6k6LERERGDYsGEW2zw8PODv74+IiIhcjzt16hT0ej3s7OzQvn17/P333/D29sbgwYPx2Wefwc7OLsfjtFottFqtdDsmJgYAYDKZbO66oSaTCYIgSHU5Qg1Ajywx0+ZqLW8eb3sqXWx/ebH95cX2lw/bXl5sf3mx/eVlq+1fmHqKZTXa4paUlAQPDw+r7Z6enkhMzP16kvfu3QMADB8+HCNGjMCMGTPw77//Yvr06VAqlZgzZ06Oxy1YsABhYWFW2xMSEqDRaIr2IEqIIAhISTGvPKtUKqERzT24WUIm4uLi5Cyt3Hu87al0sf3lxfaXF9tfPmx7ebH95cX2l5ettn9CQkKB97XJsFlUgiAAALp06YL58+cDADp27IjU1FTMmzcP06dPh6Ojo9VxEyZMwPDhw6XbMTExaN68Oby9veHr61s6xRdQ9jcJPj4+UKlUcFJoAGRArzDaXK3lzeNtT6WL7S8vtr+82P7yYdvLi+0vL7a/vGy1/Quz8KpNhk1PT08pxT8qKSnJYh5nTscBQKdOnSy2d+7cGbNmzcK1a9dyvP6nm5sb3NzcrLarVCqbemKzKZVKqTYHpbnnNUthsMlay5tH255KH9tfXmx/ebH95cO2lxfbX15sf3nZYvsXphbb6Y99REhIiNXczJSUFMTExCAkJCTX4+rUqZPneTMzM4ulPlviqHQAAGQpbGssNxERERERPd1sMmz26NEDBw4cQHJysrRtw4YNUCqV6NatW67HBQUFoX79+jhw4IDF9v3798PR0THfMFoWOaqcAABZCkHmSoiIiIiIiB6yybA5atQouLq6IjQ0FPv27cOqVaswadIkjBo1yuIam507d0aNGjUsjp01axa2bduGcePGYf/+/Zg9ezbmzZuHCRMmwNnZubQfSolzVJvDZqaSYZOIiIiIiGyHTYZNT09PhIeHQ61WIzQ0FB9++CGGDx+OBQsWWOxnMplgNBottvXp0wc//fQTDhw4gN69e+O7775DWFgYPv3009J8CKXG2d4VAJChAERRlLkaIiIiIiIiM5tcIAgAateubTUc9nGHDh3KcfvLL7+Ml19+uQSqsj3O9uaFjXRKBTINAhztbWfyMBERERERPb1ssmeTCs7VwR0AkKVUQKtLl7kaIiIiIiIiM4bNMs7N8eGlYBK192WshIiIiIiI6CGGzTLO3flh2ExKjZWxEiIiIiIioocYNss4D1df6eeUtDgZKyEiIiIiInqIYbOM83L1k37W6hJkrISIiIiIiOghhs0yzvORsJmWmSxfIURERERERI9g2Czj1A5ucBQEAEB6VpLM1RAREREREZkxbJZ1ShWcBBEAoNNrZS6GiIiIiIjIjGGzHHAyd2xCZ0iTtxAiIiIiIqIHGDbLAUdRAQDINKbLXAkREREREZEZw2Y54CCan8ZMIUPmSoiIiIiIiMwYNssBjagCAGQxbBIRERERkY1g2CwHHGAHAMgUsmSuhIiIiIiIyIxhsxzIDptZ0MtcCRERERERkRnDZjngoLAHAGTBKHMlREREREREZgyb5YBG6QgAyFSYZK6EiIiIiIjIjGGzHHBg2CQiIiIiIhvDsFkOOKidAAAZClHmSoiIiIiIiMwYNssBR7UrACBDKUIUGTiJiIiIiEh+DJvlgLO9OWwKCgUyTZkyV0NERERERMSwWS442btJP6cb0mWshIiIiIiIyIxhsxxwcfCUfk7O0MpYCRERERERkRnDZjng6uQt/ZyQGidjJURERERERGYMm+WAu7OP9HNyWqyMlRAREREREZkxbJYDrs7eUD5YhTY5LVHmaoiIiIiIiBg2ywUHFzc4C+awqdUxbBIRERERkfwYNssBB2d3uIgCACA1M0nmaoiIiIiIiBg2ywVHZ1c4C+awmZ7F1WiJiIiIiEh+DJvlgMpOA2dz1oTOkCZvMURERERERGDYLDc02WHTyLBJRERERETyY9gsJxxE81OpM+pkroSIiIiIiIhhs9zQCCoAQKaQKXMlREREREREDJvlhgZqAECmkCVzJURERERERAyb5YY97AAAGSLDJhERERERyY9hs5zQwB4AkAmjzJUQERERERExbJYbGjgAADIVDJtERERERCQ/mw2bERER6Nq1K5ydnVGxYkVMnjwZer2+UOf48ssvoVAo0Lt37xKq0nbYqxwBAJkQZK6EiIiIiIgID1aVsTFJSUno1KkTatasiU2bNiE6OhoTJkyATqfD119/XaBz3Lt3D2FhYfDz8yvham2DRukEAMhSijAJJqiUKpkrIiIiIiKip5lNhs2lS5dCq9Vi8+bN8PLyAgAYjUaMGTMGU6dORUBAQL7nmDx5Mvr27YvIyMiSLtcmOKhdpJ/Tjelws3eTsRoiIiIiInra2eQw2t27d6NLly5S0ASAAQMGQBAE7Nu3L9/jDx8+jC1btuDzzz8vyTJtioPaVfo5XZ8uYyVEREREREQ22rMZERGBYcOGWWzz8PCAv78/IiIi8jzWZDLhnXfewbRp0+Dv71+g+9NqtdBqtdLtmJgY6Vwmk6mQ1Zcsk8kEQRCs6nKwdwUeTGnVZmnh5/h0DB8uTbm1PZUOtr+82P7yYvvLh20vL7a/vNj+8rLV9i9MPTYZNpOSkuDh4WG13dPTE4mJiXke+8033yA9PR3jx48v8P0tWLAAYWFhVtsTEhKg0WgKfJ7SIAgCUlJSAABK5cOOaaXgIP0cHRcNd4N7qddW3uXW9lQ62P7yYvvLi+0vH7a9vNj+8mL7y8tW2z8hIaHA+9pk2Cyq2NhYTJ8+HWvXroW9vX2Bj5swYQKGDx8u3Y6JiUHz5s3h7e0NX1/fkii1yLK/SfDx8YFK9XARIC8PfyDe/LOds53N1V0e5Nb2VDrY/vJi+8uL7S8ftr282P7yYvvLy1bbPysrq8D72mTY9PT0lFL8o5KSkizmcT5u+vTpaNCgAdq2bYvk5GQA5oWFjEYjkpOT4eLiArXa+iG7ubnBzc16QR2VSmVTT2w2pVJpVZujsyc0sQKylEqk67U2WXd5kFPbU+lh+8uL7S8vtr982PbyYvvLi+0vL1ts/8LUYpNhMyQkxGpuZkpKCmJiYhASEpLrcREREfjzzz/h6elp9TtPT0/s3r0bzz//fLHXawvUDq5wFkVkAUhOK3jXNhERERERUUmwybDZo0cPzJ49G8nJydLczQ0bNkCpVKJbt265Hvfll19KPZrZxo0bB0dHR8yZMwcNGjQowarlpXFyhYsgIFGlQrKOYZOIiIiIiORlk2Fz1KhRWLx4MUJDQzF16lRER0dj0qRJGDVqlMU1Njt37ozIyEhcu3YNANCoUSOrc3l4eMDFxQUdOnQoperlYe/kCmdBBABoM5LlLYaIiIiIiJ56trOs0SM8PT0RHh4OtVqN0NBQfPjhhxg+fDgWLFhgsZ/JZILRaJSpStvi4OQGZ0EAAGgzk+UthoiIiIiInno22bMJALVr18aBAwfy3OfQoUP5nqcg+5QHDs5u8HqwYlViJofREhERERGRvGyyZ5MKz8nJBb4mc89mgj5J5mqIiIiIiOhpx7BZTtjbqeBhVAAAkoxamashIiIiIqKnHcNmOeJmMl/zJtGUBlEUZa6GiIiIiIieZgyb5YiryR4AkAUj0g3pMldDRERERERPM4bNcsRV0Eg/x+piZayEiIiIiIiedgyb5Yiz6Cj9HJvBsElERERERPJh2CxHRKU7XB5cazNOFydzNURERERE9DRj2CxHdPbe8DOar7V5X3df5mqIiIiIiOhpxrBZjhgdfeBrModN9mwSEREREZGcGDbLEdHZT+rZ5AJBREREREQkJ4bNckTlVgF+JiMAhk0iIiIiIpIXw2Y5Yu9R8ZFhtJyzSURERERE8mHYLEecvQIeDqPNiIcgCjJXRERERERETyuGzXLEzScAfg96Nk2iCUmZSTJXRERERERETyuGzXLE29MTzga1dJvzNomIiIiISC4Mm+WIu6MdYHKTbsdl8PInREREREQkD4bNckShUCBd6QEvEy9/QkRERERE8mLYLGdS1V681iYREREREcmOYbOcydR4S4sEMWwSEREREZFcGDbLGYOjH3zZs0lERERERDJj2CxvXHxRwWQEwAWCiIiIiIhIPgyb5YzSpQJ8OYyWiIiIiIhkxrBZzmg8KkoLBCVmJsJgMshcERERERERPY0YNssZJ68AaYEgAIjPiJexGiIiIiIieloxbJYzbj4B0gJBAHBfd1/GaoiIiIiI6GnFsFnOeHu4Q2VygFoUAXCRICIiIiIikgfDZjnj6WSHRNGdiwQREREREZGsGDbLGbVKiWSlB6+1SUREREREsmLYLIfS7LxQ4UHPZpyOw2iJiIiIiKj0MWyWQxn23uzZJCIiIiIiWTFslkMGR9+HczYzGDaJiIiIiKj0MWyWQ6KzHyqYjAA4jJaIiIiIiOTBsFkOKV39pGG0aYY06Aw6mSsiIiIiIqKnDcNmOWTvURF+D4bRApy3SUREREREpY9hsxxy8gyAn5Fhk4iIiIiI5MOwWQ65+fjDWRThKAgAgPu6+zJXRERERERETxuGzXLI290NKaIzAg3mRYJuptyUuSIiIiIiInra2GzYjIiIQNeuXeHs7IyKFSti8uTJ0Ov1eR4TExODyZMno1GjRnB1dUXlypXx6quvIjIyspSqtg3eLvaIF91R02AAAFxLviZzRURERERE9LRRy11ATpKSktCpUyfUrFkTmzZtQnR0NCZMmACdToevv/461+NOnjyJTZs2YdiwYWjZsiXi4+Px6aefonnz5jh//jx8fX1L8VHIR6NWIVHpiRr6KAAMm0REREREVPpsMmwuXboUWq0WmzdvhpeXFwDAaDRizJgxmDp1KgICAnI8rk2bNoiIiIBa/fBhtWrVClWqVMHatWsxceLEUqnfFqSpPfGM/joA4E7qHegMOjjZOclcFRERERERPS1schjt7t270aVLFyloAsCAAQMgCAL27duX63EeHh4WQRMAKleuDF9fX9y9e7fE6rVFGfY+qPFgGK0IETdSbshcERERERERPU1ssmczIiICw4YNs9jm4eEBf39/REREFOpcV65cQWxsLGrXrp3rPlqtFlqtVrodExMDADCZTDA9cr1KW2AymSAIQr51GRy84a8zwUkAdErgcsJl1PbMvQ0ofwVteyoZbH95sf3lxfaXD9teXmx/ebH95WWr7V+YemwybCYlJcHDw8Nqu6enJxITEwt8HlEU8e677yIgIAADBw7Mdb8FCxYgLCzMantCQgI0Gk2B7680CIKAlJQUAIBSmXvHdKadBxQAqumNOO+gxrmYc2jt3rqUqiyfCtr2VDLY/vJi+8uL7S8ftr282P7yYvvLy1bbPyEhocD72mTYLC4zZsxAeHg49uzZA2dn51z3mzBhAoYPHy7djomJQfPmzeHt7W1ziwplf5Pg4+MDlUqV634OXpWB+0AtfSbOO7ggWh9tc4+lrClo21PJYPvLi+0vL7a/fNj28mL7y4vtLy9bbf+srKwC72uTYdPT01NK8Y9KSkqymMeZl+XLl2PmzJlYuXIlOnfunOe+bm5ucHNzs9quUqls6onNplQq863N3tMfAFDTYL5czLXkazb5WMqagrQ9lRy2v7zY/vJi+8uHbS8vtr+82P7yssX2L0wtttMf+4iQkBCruZkpKSmIiYlBSEhIvsdv3rwZo0ePxsyZM63mfj4tnLzMK/bW1JsXCYrPiEdSZpKcJRERERER0VPEJsNmjx49cODAASQnJ0vbNmzYAKVSiW7duuV57KFDhzBw4ECMGDECH3/8cQlXartcvSsCAGo8CJsAr7dJRERERESlxybD5qhRo+Dq6orQ0FDs27cPq1atwqRJkzBq1CiLa2x27twZNWrUkG5funQJoaGhqFmzJgYNGoRjx45J/12/fl2OhyIbHzcXJIiu8BIEeCodAQBXk67KXBURERERET0tbHbOZnh4OMaOHYvQ0FC4urpi+PDhmDVrlsV+JpMJRqNRuv3PP/8gJSUFKSkpaN3acuXVwYMHY/Xq1aVRvk3wcdHgkugPb0UqgkQHJCEDV5MZNomIiIiIqHTYZNgEgNq1a+PAgQN57nPo0CGL20OGDMGQIUNKrqgyxFmjxjUEoSmuoHqWHqftgWtJHEZLRERERESlwyaH0VLxuO9YDQAQkhYPwDxnUxRFOUsiIiIiIqKnBMNmOWbyrQMAqJthvoxMmiEN99LvyVkSERERERE9JRg2yzHnwAYAgOqGhyvSct4mERERERGVBobNcqxaYCVEi95wEkVUUrsC4Iq0RERERERUOhg2y7GQiq64LAQCAIJNKgC81iYREREREZUOhs1yrLKnI24ogwEAVXXpABg2iYiIiIiodDBslmMKhQKp7s8AAOqmxQEAbiTfgFEw5nUYERERERHRE2PYLOeUFesCAGplZQAA9IIeV5KuyFkS0RMTRRGLTi1C2NEwZJmy5C6HiIiIiHLAsFnO+QTVhV5UoarBAD87NwDAsjPLZK6K6MkcuXsEy88tx8YrG7Hq/Cq5yyEiIiKiHDBslnPPVPLGdTEAagAjHGsCAH6P+h3/xf4nb2FERSSKIr498610e8W5FYhOi5axIiIiIiLKCcNmOfdMBVdcFs0r0nZM0KKGRw0AwIITCyCKopylERXJsXvHcDbuLADAXmmPLFMW/u/f/5O5KiIiIiJ6HMNmOefuaIe7muoAAMf4yxjXeBwA4HTcafx++3cZKyMqPFEUseyseRh4Xe+6mNJiCgBzb/3h6MNylkZEREREj2HYfApkeYUAANwy76Cdb2M0rdAUAPDlqS9hEAxylkZUKP8l/ofTcacBAKMbjsaLNV9EPe96AIA5/8yB3qQvlTrupd8rtfsiIiKikrP4v8VosKYBhu4Zig1XNiA5M1nuksoVhs2ngEOl+tLPirgITGgyAQBwS3sLm69ulqssokJbd30dAKC2V220q9wOSoUS01pOgwIK3E69jbUX15Z4DesvrUfXjV0x7uC4Er8vIiIiKjnn489j+dnlECHixP0TmHl0Jjr+2hHjD45HQkaC3OWVCwybT4FKQTWQIjoBAEz3zqO+b310C+oGAFhyegkXV6Ey4fi94ziXdA4AMKrhKCgUCgBAPZ96eLHmiwCA785+h5SslBKr4UDkAcz9dy4A4K/ov3Aj+UaJ3RcRFY9MYyb+iPoDe2/thUkwyV1OkQmigDUX1mD+ifnYfn07riRd4egkoidgEkz49NinECGikksldK7SGXZKOxhFIw7cPoC3w9+GzqCTu8wyj2HzKRDi74YIsQoAIPX2GQDAuMbj4Kh2RGJmIkbtH4XEzEQ5SywUnUEHQRTkLoNKkSiK+PaseQXaWp610DGwo8Xv3238LuyV9sgwZmDHjR0lUsPZuLP48K8PIeLhwlqbrm4qkfsioieTaczE9uvbMf7geLT7pR3e+f0dvP/H+xixfwRi0mLkLq9Itl7binkn5mH1hdWYengqXtr2Elqsb4FFpxbJXRoRACA5Mxnbr28vMwFtw5UNuJhwEQAwveV0fNnxSxx6+ZA0AvBCwgW8/8f7MApGOcss8xg2nwJVfZxx7UHYNMZcAAAEugViQYcFUCvUuKW9hTEHxhTbm0OqPhVT/pqCecfnIcuUVejjl55ZipH7Rub4geBs3Fl03dgV/bb0w23t7eIol8qALde24FTsKQDAqAYPezWzeTl4oVuwubf+18u/FvtKy1HaKIz9fSyyTFnwc/JDv+r9AADbrm+DwcSeheJ0L/0eBu0ahNn/zGavDRWJQTBgxL4RmHp4Kg7cPoAMY4b0u+P3juOlbS9h542dMlZYeGn6NHx16isA5vc7jUoDwPxYl59bjj/v/ClneURIykzCoN2DMPXwVCw4uUDucvIVnxEvfVHTLagbWlVqBQBws3fD0HpDMb7JeADmUUyfHvu0RK7gIIoizsefx+XEy8V+bluilrsAKnl2KiUSXGsCun1wTo4ARBFQKNCmUhvMbD0TUw9PxYWECxh3cByWdF4CO5XdE93f3H/nSr1L/8X9h686fgUfR58CHRudFo1vTn8DESImHJqANT3WwF5lDwDQ6rWY/OdkaPVaaPVavLH7DSzrugy1vGo9Ub1k2+Iz4jHvxDwAQAvfFuhQuUOO+/V/pj923NiBGyk3cCr2FJpUaPJE9yuKIq4mX8Xh6MP49fKvSMxMhLOdM77p/A0c1Y7Yen0rkrKScDDqoBR05WQUjPi/4/+H6LRoVHOvhmru1VDdozrqeNeBWll23uoXnFiA03GncTruNO6l38MX7b+QPlgXxfF7x5FuSEdL/5ZwUDsUW50GkwELTy2EzqBD20pt8VzAc3Cycyq288vFKBjxX+x/aOTbKMd/C36J+AUHow5CqVBCrVRDrVQjyC0IL9d6GRWdK8pQsbVvT38rLST2nP9z6FylMzoEdsDJ+yfx2bHPkGpIxYd/fYit17aiacWmqO1VG3W868Db0VvewvOw7OwyJGQmwE5phx96/IBKLpUQmRqJjw5/hHPx5zD7n9loVrEZHNWOcpdKpUCr1+J83Hnc192X/kvTp8EoGGEUjDCJJnQI7IABtQaUSj06gw5jDozBLe0tAMD269sxockEm35PXHhyIVINqXBSO2Fys8lWvx9adyjupd/DTxE/YdPVTajoVBGjG43O97xJmUlYf2k9bmtvIy4jDnEZccgwZqChb0O0DmiN1pVaQ61UY/v17dh0dRNuaW9BqVBiRbcVaFaxWUk8VNmVnU8g9GR86wCRgKNRC6TGAG4BAIA+1fsgMTMR807Mw9GYoxi2dxgG1x2MDoEdivQB9Y+oP7D1+lbp9tm4s3h156v4uvPXeMbzmXyP33JtizRM8XzCecz9dy4+fu5jiKKIsL/DEJ0WDbVSDTulHRIyEzB0z1As6bIEz/o9W+haqWz4v3//D1q9Fk5qJ7xb+12rXs1sz/o9ixoeNXAt+Rp+vfxrkcOmIApYdmYZfrv6G+7r7kvbVQoVFrRfIH250axiMxy/dxybrm6yibD5zelv8FPETwBg0cvR0Lchvu/+vfSljS07G3cWu2/tlm4fjDqIt8PfxqKOi4r0oeXk/ZMYtncYAMBR7Yg2ldqga1BXdAzs+MTB88eIH/HDxR8AAL9d/Q12Sjs0r9gcjfwaoYZHDVT3qI5A18ASCfqXEy/jm9PfwCgaYa+0h73KHp4Onng15FVUcatS5POKooiPjnyEnTd2ooV/C3zb5VvYKR8GzvDb4fjsn89yPHb1+dXoWa0nhtYdihqeNYpcw5M6ce8EVpxbAQB4udbL+KjlR9LvelbriWf9nsW0I9Nw/N5xHI05iqMxR6XfdwjsgHnt5z3Rlxsl4WbKTay7aF4cbVCdQdJzXM29GqY/Nx2v7HgF0WnRWHpmqdQbA5g/8O+8uRPjG4/nl7LliM6gw4DtA/Jdb+Ov6L/g6eCJrkFdS7Qeg8mAcQfH4XzCeQCAUqGEzqjDnlt7pPUUbMGd1Du4kHABkdpI3Ei5IY1uGNNoDCo4V7DaX6FQ4INmHyBWF4vw2+H45sw3MAgGjH12bK6fQ7JMWRh1YJQ0NPdR+yP3Y3/kfgDmNnp0OpggCvjo8Ef4re9vcLF3KY6Ha1MUYkn0C5dxd+7cQWBgIKKiolC5cmW5y7FgMpkQFxcHX19fqFSqAh+36vezeO2PDrBXmIDeC4Gmwyx+v+DkAqw6v0q67efkh/7P9McLNV6w+iOMTovGynMrEZUahfcav4d6PuZLT6RkpSB0ayjiM+JR36c+BoYMxIy/Z0Av6OGkdsKQukNQw7MGqrpVRZBbkNW35ibBhO6/dcd93X34OPogPiMeADCrzSxkmbIw8+hMAMD7Td9HY7/GGB0+GilZKXBQOeDV2q+ikkslVHCqgEoulVDdo3qubwZFVdS2L2uSM5OhUqrgau8qdyn4886feDv8bQDA5KaT0dW7a57t/+OlHzHn3zmwU9ohvH84PB08C32fi/9bjO/Ofifd9tR4olWlVvhfzf+hacWm0vYdN3Zgyl9ToIACe1/aC38XfwBAQkYCjsUcg4udC3ydfOHr6AsvBy+olCX3mvk7+m+MOjAKIkQ08G0AiMD1lOtIN6QDAN5r/B6G1x/+RPeR1+tfFEXc0t4qULgyCSYs/m8xolKj8GHzD+Hr5Cud443db+B03GkEuwWja1BXLD+3HIA5MH/T5Ru42bsVuF5RFDF071CcvH/S6ndV3atiRbcV8HPyy/McJ+6dwKnYU3i99usWYTcpMwm9NvVCqiEV3g7eSMxMtJjLm81eaY/nAp5D72q90T6w/RP1OmW3v8nJhNf3vC69Pz7KUe2I95u+j/7P9C/S+9/mq5sx/e/p0u1Xar2CaS2nAQCiUqPw8vaXkWpIRXX36mhSoQmMohFZpiz8decvaPVa6bj2ldtjaL2haOzXuNjfh/Oi1Wvxv23/Q0x6DKq5V8PPvX/Osc0FUcDWa1tx5O4RXEq4hNupD6dkdKnSBfPaz7P4ey3O935RFHEz5SaquFUp8BcRow+MxuHow/B19MX2F7bD2c7Z4vfzjs/DmotroFao8UufX1DVrSrmHp+LXy7/AgBo7NcYa3qsKVSdqfpUfHf2OzSr2AztKrcr1LGFEZ0WjQORB3Ap8RKaV2yOPtX7WHzBAdj2v72iKJbqaxwAFp1aJL03umvcUcGpAio4VYCbxg1qhXm0wZm4M7iWfA1Oaif81OsnVPOoVuT7S85IxrW71xBYIRBuDm5wUDnAKBiRok9BcmYyvjv7nfQl4ftN38fJ+ydxMOogGvg0wPpe64vlMT+p7de34+MjH8MkWi4QVsOjBn7t86vVa+5RmcZMvB3+Nv699y8AoE+1PghrFZbjyI+ZR2diw5UNAMzvJf4u/vB19IUCChy7dwwn7p2Qppc5qh3RPbg7mlVshk/+/gRGwYh+1fvhszaWX+jZ6uu/MFmJYTMH5TFs/nElDmk/vIpeqn9hqtAAqtF/WfxeFEWE3w7HjxE/4vi949J2pUKJ1gGt8ULNF1DLsxZWXViFLVe3wCiaJ0urFWqMajgKb9Z/E9MOT8Oum7ugUWnwa59fUc29Gk7HnsZ7B9+zWoBIo9JgaoupFt96HY4+jNEHzEMUfu39K7448QWO3zsufcucZcpCm0ptsKTzEigVSlxPvo6R+0ciVhdr9XhbBbTCrDazCjx8tyBs9Q++OB2OPowJhyZAFEUMqDUAw+oNK9TQskxjJi4mXISznTM8HTzhqfEs8rDsdEM6QreG4l76PTTwaYBV3VYhMSExz/bX6rXo/GtnZJoyMbHJRAypN6RQ97nt+jZMO2z+cN0xsCOG1x+Out51cwyKmcZMdNrQCan6VIxpOAajG43GsZhjmPzHZCRlJVns665xx4j6I/BqyKt5tse5uHOYe3wu2lVuhxH1RxToQ0ycLg7/2/4/JGYm4hnPZ7C+53o4qB3MowGOhuG3q7/BQeWALaFbUMmlUqHa41G5vf5Px57G/BPzcTruNBr7Ncayrsty7TUURRGz/5mNny//DAAIdgvG992/h6+TL/ZH7seEQ+ZFGRZ3WowOgR2w+vxqzD85HwDQoXIHLO68uMD1Hr17FCP3jwQATH9uOgwmAw7cPoAT905AhIgqrlWwsvvKXId+xuni0Htzb+iMOnSo3AFfdfoKSoV5mYM5/8zBjxE/wlHtiB0v7IBSocTh6MM4HH0YV5Ku4Lb2ttWHGmc7Z3Sp0gVvN3pb+mIiN3/e+RNfnvoSvo6+mP7cdFRyqQSTyYTbMbcx6dQkXE66DEe1I3pW7QmDYIBBMOCfmH+k99k2ldpgZquZUpAviBspN/DKjleQYcyAm72bFB4/avERQmuGYtCuQbiUeAlu9m7Y0GcDAlwCpGN1Bh1+u/ob1l5ci3vp96TtDX0bYmi9oegY2FFqu5IiiiIm/zkZe27tgZ3SDj/2+hEhD64xnR+tXovvz32PledXAjAPyf+45cfS319cehyO3TyG1tVaw8vJq8g13k27i0/+/gTHYo7hWb9nsbTL0nx77B/9wm1Wm1noW72v1T46gw79tvbDvfR7qO9TH0qFEmfizljs80OPH9DIr1GB6hRFERP/mIj9kfthp7TDT71+KtaeUZNgwvpL67Hz5k6rHqBKLpUwvP5w9KveT3qvlOvfXkEUsPfWXgiigGf9noW/sz8UCgV0Bh32Re7D5qubcSr2FGp51kLnKp3RqUonPOP5TImGzyhtFPpt7QeDYMAbdd7ApGaTctzvXvo9vLzjZSRmJiLYLRg/9fqp0D1mGcYMfH/+e6w6v8pi/Q2VQmX1/gYAw+oNw/gm4y1es7/1/a1Ao9oK4kLCBfx1568cO0HycjnxMl7b9RqyTFlQK9Wo4loFQW5BqO5RHa/Xfr1An3H0Jj0+OvyRFKpb+rfEwg4LLdr00c8PQ+sNlRYZelSWKQsn759Eqj4VrQNaS8evOLdCmpP9ZYcv0Tmos3SMrX72ZNh8QuUxbMZqMzHh8y+xzn6OecPIQ0BAzkNPryVdwy+Xf8H2G9ulnpHHeWo84ah2xN30uwDMw3lupJgvA/F+0/cxuO5gad/otGgs/m8xLiZcRJQ2Sgqq9kp7bOy7EVXdqwIAJhyagP2R+1HPux5+6v0T4jPi8fL2lxGbYQ6Tvo6+2NBng8Ubw920u1hyegluJN/APd09JGQkSD0M3g7emN12NloFtIIoiriYcBG7bu5CuiEd45uMh7vGvcDtBxS+7XUGHeyUdjmGi/iMeByIPIBWAa0KNOxt7YW1iEiMQOegzmhXqZ10Tr1Jj8PRh3Ew6iBCvELwSq1XityD9vvt3/H+H+9bLMriqHbEK7VeQacqneBq7woXOxe4adxy7C24nnwdow6MsviwCQCBroF4o84beKHmCxbD025rb+Ng1EE42zmjtldt1PCsAY1Kg0htJPZH7sfOGztxLfma9G19dbfqBWr/6UemY/O1zajiWgXbX9he4A+5J+6dwIj9I2AUjHjW71ks77Y83+F0s/+ZjZ8ifoK/sz9ervUyFv23CIIoQKVQQRAFq96uKq5VMLHpRHQM7Gj1geRG8g28secN6dItQ+sNxfjG4/P84GISTBi5fyT+vfcvHNWO+Ln3z6jm/vAb7OTMZPTZ0gfJWcnoENgBizs9DGuZxkycjTuL+r71C9Tj9vjr/7b2Nr489aU0LChbt6Bu+KL9Fzm2+/Kzy7HoP8uVM4PdgrGs6zIM3zccUalRaF6xOVZ0WyE97rUX1uKLE18AAH7q9ZM0kiIvoiji9d2v42zcWdTxroOfe/0snS88Mhzv/2leXbCSSyV83/17i+CUbdrhadh2fZt0e0T9EXi38bu4mXITL259EUbRKH3J8Di9SY9IbaR5WPDN3fj33r/Sa8FT44l57eehuX9zq+Pup9/H3ONzLdrU1c4V05+bjs6BnfHO/nfwd+zfUECBhR0XonOVhx9IEjISMOPoDByKOgTA/AXH/7X7P7QKaJVve2WZsvDaztdwOekyvBy88EvvXzD9yHQcjTkKlUKF5hWbS8NNl3RekmtPl0EwYM/NPfj+/Pe4lnxN2t62Ult81fGrJ14PIDeiKGLtxbXS3O7H/w0q6DlmHpuJjVc2AjBfXqmlf0v8cvkX7I/cD6NghEalwfPBz2NgyEDU9amb67kEUYBJNEm9JaIoYtPVTfjixBcW/6a2qdQGizotyrVXJVIbiZH7RuJu+l008GmAH3r+kOv72aGoQxj7+1iLbYPrDDZfoinlhtXff14e7+Gu7l4dP/f+udjmPD/aMweYv4h5xvMZ/Bf7n7StglMFNKvYDLU8a6GGRw34CX6oXql6vv/26gw6nI0/ixDPEHg4eBS5RkEU8Nmxz6ReKsA84iu7ztw+G1V2qYye1Xqib/W+CHILKvL9X068jHWX1qFv9b4W8/jG/j4Wh6IOwcvBCzte2JHnCKR/Y/7FyP0jYRJN6FylMxZ2WFigICyKIvZG7sX8E/Ot/j3PiQIKvFr7VXzQ7AMoFAqLUWqv1X4NHzb/sECPOTeZxkx8c/obrLm4BoIowN/ZHyu6rSjQZyetXotXdryCqNQo+Dr64tc+vxa5E0IQBSw8uRCrL6wGAPg7++OFGi+gT/U+0Bl1eG3na8g0ZaJphaZY3m15oaZQmAQThuwZgtNxp+Gp8cSmfpukOg1GA2Lux6BSxUoMm+VJeQybABC6+E8sihuGKso4oMkQoM9Xee6vM+hw4PYBbL66GSfunwBg/gAzpO4QvBryKkSImPvvXGy+tlk6prFfY3zf/ftcA49BMOBWyi2M3D8S8RnxaFKhCb7v/j2SMpPQZWMXGAUjPm75sTSp/XTsaQzdOxSCKOC7rt+hhX+LPGs2mAzYcWMH5vw7R1qBsEfVHriUcEmauA4Atb1qY3m35YUKnI+3vSiKSMhMQLohHTqDDjqjDndS7+B03GnzEJaka3BUO6JP9T4YGDIQ1T2qIyUrBavOr8KPET8iw5gBd407VnRbkec38Htu7cGkPx5+e+muccfzwc/DKBixP3K/xfC1xn6N8VnrzxDoFljgxwUAe2/txYd/fgijaERll8roGtwVv0T8Ap0x5xWKOwR2wMQmExHsHgwAOHX/FMb+Ptailsf5OPpgSN0hcFQ7Yvv17dICHtnUCjV8nXwRk265CnH2B/qCvvbPxZ3Dq7teBQB81/U7PBfwnNU+FxIu4ODtg3Cyc4K3gzcc1Y6YeWwmUrJSUNmlMtb3Wg8vh/x7MCISI9B/e3+LbdXcq2Fhx4UIdA1EQkYC7uvuY8PlDRZzmVtUbIFJzSZJvQX30+/j9d2vW/3D/laDt/DOs+9It++n38d/cf8hKTMJyZnJiEiMwO9RvwMAZreZjT7V+1jV+OgHx0UdF6FjlY74J+YfhB0NQ1RqFPwc/TCm0Rj0q9Evz38cs9vfzs0OK86vwM+Xf5aWg6/uXh31fOpJjzH7G+7c6ugQ2AG9qvbCh399CJNogpPaCTqjDgoo8HPvn1HHu87D+xVMCN0ailvaWwXu3Xz0m/WcwtGhqEOYcGgCDIIBAc4BWNF9BQJdH/7NnI49jUG7BwEwf3i8k3YHAPBFuy+w8+ZOHIo6BD9HP2x/YXuB5pLeS7+HXTd34buz3yHdkA6VQoXxTcbjjTpvQISIiMQI/BH1B9ZcXCN9iK3tVRt30u4gVZ8KAHjG8xlcSboCABjfZDyG1RtmdT+iKGLLtS34/N/PoTPqoFQoMbHJRAyqMyjPD5nZPbUAsLTLUrSu1BopWSl4fdfrFu+bb9Z7E+OajMv38YqiiL+i/8L357+XhjH3rtYbs9rMKvYeTp1BhxlHZ2D3zYc9Dsu6LivS/ZgEEyb+MRHht8Pz3beBbwN80e4Lqy8qYnWxGLRrEGLSY+Dp4CkN1Y5IjABgXumyfeX22H5jOwCgV7VemN1mtlW9f0f/jff/fB+p+lSoFCqs67ku3y9axh0ch/Db4eb3s1Yz8XzV57Hl2hZ8fORjAMCWfltQ3aM6APMH529Of4O4jDi81eAt6XFEaiPRf3t/ZBgzUMuzFq4kXYEIEa+GvIopLabk2y75idRG4oWtL8AgGNAqoBVeq/0aWvq3hL3KHpcTL2PZ2WVWX2AB5lFW3YK6YUi9Iajr/TDomwQTriVfw9G7R3E4+jBOxp6EUTDCy8ELc9vNRUv/ltK+BsGAHy/9iBP3TmBUw1G5fmEgiAJmHp2J367+Jt3345dbUyqUaFupLTpX6Yxz8edwMOqg1dD2Rr6N8GLNF9GvRr9CvR5TslLw4tYXEZsRC6VCiQlNJuCNOm/gyN0j0uivma1m4oWaL+R7rjUX1khfwuT2vvGoDGMGJh6aiL+izaPfVAoVBjwzAJ18OsHJzQkZpgykGdKgUWngofGAu8YdXg5eVkO7l5xegqVnlsLN3g2/D/hd+uI2ISMB0WnRqOFRo0Dvnafun8L0v6cjUhtpsd3X0RfLuy2XXs85EUUR7x18DwejDkKtUOP7578vlvU91l9aj7n/zrX4MtnFzgVphjT4OPpgQ58NRQq0UdoovLT9JemzoUqhQoYxAxnGDFR1qYrNoZsZNsuT8ho21x69hXs7ZmOy3S8Q7ZyheP8yoCnYvLzb2tu4pb2FJhWaWL2pHIg8gJlHZ0KpUGJtj7UF+rbp0SFz05+bDp1Bh3kn5sFR7Yjf+/9uMTThatJVGAUjanvXLvBjvZFyA5P+mCR9OMtWwakCYnWxECGijncdLO+2PNd5YFGpUfjzzp8Icgsy944KotT2/8X9h/kn5ksT4gviWb9ncTXpKtIMaRbb8wqc99Lv4aVtL0Gr18Jd4y71ej0u2C1Y+lCYPW+rU5VOMAkmmEQTFFDA18nXIkyIoojotGiE3w7HgpMLIIgCgt2CsbzbclR0roikzCSsubAGP0X8lGPoVCvUeCXkFdTxroOwo2HIMmXBzd4NCzssRGXXykjKSkJCRgJ23NghDUV6nLvGHYIgINWQarW9U2AnPB/8PJ4LeM78bWkBX/uiKOLlHS/jUuIl1POuhxmtZkih7vFvSB/naueKdb3WWfQO5uflHS9LQ8G6BnXFp60/tfobAYAL8Rcw9/hc6dt7pUKJF2u+iMF1BmP8ofG4lnwNGpUGSzovwdqLa6VFft5q8BYqOlfErpu7pCGgj8tpnkc2QRQwePdgnI47jQDnALQMaJnj9UGruVfDe43fy7HXFQB0eh2Wn1yOn2/+LL2GvR288c6z7yC0RihUChWmHZ4mfYj+5LlP0LNqT1xKvIST90/im9PfwCSa0Mi3Eb7r9h0c1Y7YH7kfk/+YLI126Fu9L2a1mWV1348OT/q1968W7wWJmYmISIxAY7/G0vDhV3a+gosJF9HAtwHW9ViX4+P5685fGHdwHPSCHj6OPljSeQnqeNeBIAoYuHMgLiZcRFX3qvip108YsW8EzsWfg53STur5/7T1pwitEZpjm+fmRsoNvPf7e9Lfan2f+riTesdi2LWrnSvea/we/vfM/xCri8WHf30oXfYHMD/Xn7b+NM/wGKmNxLu/vyuNNulbvS+mPzfdqqc+VheLpWeWSr03Q+oOwcSmE6Xf30q5hVd3vYpUfSqaVGiCFd1WFHrBo+z5hEDuQ8sK4nTsaaw8txIm0YRn/Z5FI79GcLZzxpS/pkiPs13ldpjdZnahR608KsuUhVH7R0lfsFZ3r47+z/RHHYc6OJ1+GhuubkBUahQAoIFPA6zpsUZqE1EUMfb3sfjjzh85nrtd5Xb45LlP4Ovoi3kn5mHtxbUAgNdrv473Gr8nPT9rL66V3pPd7N3wRfsvCtRDrTPosP36drTwbyF9EWgwGdBjUw/c192X/r5EUcScf+dIC4o5qZ0wrsk4vFTzJQzePRjnE87DU+OJ3/r+hnWX1uH7898DAL7p/A3aVm5bxJY1t8/o8NE4En0E3g7e2P7C9hx75q4kXcGem3twJekKLiddtvoSrmmFpmjg2wAX4i/gXPy5XL8UVUCB0Q1HY2SDkTgbfxYzj86Uetwd1Y74ssOX0uUusgmigLCjYdJ7ZN/qffFRy48QkRiBU/dP4XLSZTzj+Qz6Vu9rMedbEAWcjTuLPbf2YNeNXRZ/088HP4/P2nxW4IWnJv8x2WKhtOxzRCRG4Jb2Fur71Me6nusKFGBFUcSkPydh7629sFPaYVPfTdJr43EZxgyMDR+Lf+79AwBo4d8CHzb7EFXdqhb6c+fdtLt4/rfnIULE520/x/PBz2PdpXVY/N9iZJmyoIACwe7BqONdB72q9srxdbX9+nZMOzwNIkQoFUoMqj0IzSo2w6Q/JyHDmAEPjQeWdV1m8eVktixTFladX4Ulp5cAACY3m4xBdQYVqPaCuJx4GRuvbMSum7ukL9lVChVWdl/5RCvhb7yyEWFHw6y2+zv6Y/dLuxk2y5PyGjaT0vXoOXsj/lS/AzuFydyz2WRIsdRlFIzQm/QFXjFSFEWMOzgOv0f9Dhc7F7hr3BGdFp3nh+bCyjJl4cuTX+JQ1CG0rtQavar1QkPfhthybQs++fsTAEA973pY1m2ZReA8HXsaay+uRfjtcCmQVHKphP/V/B+q21fH5rubcTDqYI736aByQF2fumjo2xANfBvgWpJ5ZdTsocDZ+wysPRAt/Vvi/T/M31y7a9yxsttKi3kxgihg5L6R+OfeP3Cxc8HGvhshiAJ23NiBfbf2QalQontwd/Ss2hOVXStjf+R+zDw6E8lZyTnWplaqEegaiGC3YDioHHAq9pTFaqs1PGpgebflVt/IGQUjUvWpSNOnIdWQiosJF7Hk9BKrb3ErOlfE0i5Lc/ym8VbKLaw8vxI7ru+AQqFAh8AO6FOtD9pUagO1Uo07aXekhTrqeNVBM/9mT7RIxNZrW/HRkYerUHYM7Ihuwd2w9MxS6RtSP0c/ONs7IyEjAVq9Fo5qRyzutDjf3vPH/X33b3xx/AuE1gjFG3XeyDMEZA9PWnhioTQEPZtSocSCDgvQuUpnZJmy8N7v7+HI3SNW57BT2sHH0QceGg94aDxQ16cuRjYYmedQ2MuJl/Hyjpct5tk84/kMxjQagx3Xd+DA7QPS9lYBrTCtxTTpSyNBFLDr5i4sOrVI6nV2VDtiSN0hGFJ3iMXfvN6kx1v738KJ+yeggLkdHg3H1dyrYW2PtRZh4EDkAUz6YxIc1A7Y3G9zjnMojYIRfbf0RVRqFDpX6YwvO34JwByqhu0ZhtiMWLjYuaBrUFdUdq2Mxf+Zez9z69nOdvTuUbx38D1kGDPgqHbE/PbzEZcRJ70/LOu6DK0CWiFWF4uBOwZKf8e1vWrj594/F6n3LE2fhmmHp0k90tm8HLzQMbAj3nn2HYu/QaNgxPJzy7H87HI08mqEb7p+Awf7/IczpunTMOWvKTh05xAA86JIz/k/h3o+9VDTsyZ23dyFny79hExTJgBzT93q7quthrpeTLiIA5EHMKjOoCItuCWIAqb8NQW7bu4CAHzQ7AO8Xud1AOa/h+wPkrlJzkzGl6e+lHqZcqJUKDH22bEYVm9YsfSc6gw6bL2+FTU9aqJJhSYQBEF671EoFdh6bavUSz+64WiMaTQGgOX7zoj6IxDgEoA4XRwSMhPQtEJTdA/uLr0/CKKAj498bDFUGzBPL9ELegDmv5fFnRY/0QrDwMOh6GqFGrtf2o0t17ZIH8IfnX/n5+gnvcazR0EYTAa8tus1XEq8BG8HbyzrugyVXStbfKFmFIxIyUqBRqXJc15g+O1wjDs4DkDuIzFykqhLxMbzG7HlzhYp6D/OXeOOVgGt0LZSWwS6BiLsaJgULB/9MhYwD9tNN6RDrVRjVutZ6Fmtp3mqTeJFfH/ue+yL3AfAHDRntppZ6KkpBsGAI9FH8PPln3Ek2vwe3qRCE3zV8at8vwjZdWMXPvjrAwDmUT2Pjl7J9mPPH1Hft36B69Hqtei7uS8SMhPQomILLO+23OrfqUxjJsb+PhbHYo4BMC8q92a9Nwv1Re/jRu0fhSN3j6COdx1oVBqLYdKPyx5RkS0mLQYvbHsB6YZ0VHOvhk9bf2pe/A7Af7H/YcyBMUgzpMFB5YCq7lXNiyQ5V0CmMRMRiRG4nnxd+hKze3B3fNHuixKZS6s36XEw6iD+iPoD7QPbo3tw9yc6nyiKOHD7AGJ1sXBUO8JJ7QSNUgOTzoSOz3Rk2CxPymvYBIDR606i7+UP0EN13Dxnc+Sh4i+ygO6n30fo1lCLnr41z69B4wqNS/y+H/32yMvBC272blApVNALeot/zBzVjhYXBH9UTc+aGNtoLILdg+GkdoKTnROc1E5W/zAZBAMO3j6Ivbf2oqJzRQypO0RauONC/AWM2D8CqfpUeGg8MLnZZHSq0gnOds4Ww18K+g9zfEY8wo6GSfO2CkKj0qB1QGt80uqTAg0dBcwfxlacW4E1F9ZAL+hR07Mmvu38bb6T9tMN6VBAUaTLWBTmtZ89nHDZ2WVWy8MrFUq8UecNjGk0RgpoBpMBIsRSuzxIpjETP1z8AcvPLZdeX48OH8/eJ/sffzulHdpWaoue1XqifeX2RZo79cXxL7D24lrYK+0xquEoDKk3RAr0p2NPY+HJhVIPmr3SHsPrD0dD34b48tSXuJR4CQCghBL9avTDO8++k+tKrilZKRi0exBuptyUtvk6+qJJhSaY2HRijmHyTuodqJXqPK/T+Ogw3I19NsJB7SAFzZw0qdAEq7qvyvcDxoWEC3j7wNtIyEyASqGCo9oRaYY0dArshK86PZxqcD7+PIbsGQK9SY+V3Vc+0fXQBFHADxd/wMn7J9HYrzGeC3gONT1r5hmUdHodUhJS4OfnV+D3fkEU8PV/X1vMj3ucq50rhtUfhtdqv1Zi12g0mAwYEz5G+iDr5+QnTT1wVjvj7Wffxqshr1o8V9l/wwtOLpC+QKvqXhUhXiE4HXta+uLD28Eb/9fu/3KcA1tccnrvmfH3DPx29TeoFCqsfn61ef7W1heQakhFq4BWWNplab6vPYNgwMRDE3P88rJD5Q6Y03ZOsVwGQWfQoevGrtDqtQjxCpGG9HYI7ICPWnxkNU/48UvG3Ei5gZe3vyx9MQGYA5uHxgOp+lSLnp3Xa7+OMY3GWL3HZxgz0G9LP8Skx6CxX2Osfn51gT/8Z7e/l7cX/or5Cz9F/ITkzGTU9amLBj4NUN+3Pqq7V7f4t1dn0GHWP7Mswnw192r4uOXHqOBcAaP2j5JWIQ6tEYozcWcs3rNCa4RixnMznmgVcVEUseT0Eiw7u0y6/9ltZ0MJJbR6LVL1qajkUgkhXiFQKBS4l34PL257Ean6VDSv2BzLu5n/br8//z0WnVoEESJCa4Ti09afFrqWPTf3YNKf5uk4j3+eyDJl4d3f38Xfd/8GYL16eVE/dz46gi1bz6o98VbDt3BbexuXEi5hx40duJ16G14OXvit72/wcfQx94AfGI0jd4/A1d4VW/tttVrs7GLCRby1/61cv1zP1si3EZZ2XZrjaKOyggsElVPlOWweuHgfa9etxFr7ueYNb/0J+Dcs5ioLbsOVDdIlTYLdgrEtdFupLSP+6H0/rpp7NbxR5w30rt4b15Ov49fLv2LnjZ3INGXCx8EHYxuPRb/q/YrlchYX4i9gxL4R0lBSB5UD2lZui0NRh2AQDOgR3ANz280tcLuIooib2pvIMGRApVRBpVDBKBhxO/U2IrWRuJVyC6mGVDTwaYCmFZuirnfdIoesu2l3cfL+SXQM7Fji14YqymvfIBiw88ZOLD+7HLdTb6O6e3XMbD1T+oZUbnG6OPwU8ROqulfN8csEg2DA6djTeMbzmScaGgiY5zaF3w5Hba/aOc7pFUURO2/uxBfHv7BaPRoAWge0xuDgwWherXm+7R+fEY/dN3cj0DUQdbzr5HuJkYIwCAb02dwH0WnRaF6xOW5pbyFWFwsHlQM+a/MZ7qTewfbr23E95TqUCiW+7/59gYczRadFY/SB0dKHTXulPbaEbrGYxwmYF3FKN6QXqlehuDzJe/8/Mf/gYNRBnI8/j4jECGSZsqBRafBa7dcwrN6wJ35tFUSaPg1D9w6Vgs7jelXrhU+e+wSOakdEpUYh7GgY/okxD+dzUDngrYZvYXCdwVLP6730e7ilvYU63nUKdUmcosip7XUGHfpv74/bqbdR2aUyAl0DcTTmKFzsXHLtoc+JKJrn7KboU5BlzEKGKQPu9u5o4d+iWOe3fv3f11LoAcxfxiztslT64io8MhwLTy1EBacK+Lrz11ZfPOy4sQMzj87M9cvXR1VyqYTpz02Xhv6KoojF/y3G8nPLoVKo8EvvXwq1uu2TvPa3XNuCnyJ+Qtegrhavn/iMeIw5MEb6Ii2bv7M/+j/TH2/Wf7PY2v+3K7/h02Of5riCK2DuUW5buS1upNzAf7H/wcXOBZv6brJYtfrU/VM4FXsKr4a8WqQvax8NcJ4aT2wL3QYPBw9cTryMmUdn4mz8WQDAO43ewVsN37I4tqjtbzAZ0O23bojPiIeXgxc+bvkxugR1sdjnZspNvLzjZWQYM/Cc/3NY2nWpxciB3FZgBsz/fh66cwj30+8jVhdrvjKBwjzypLZXbdT2ro3KLpVL/dI0xY1hs5wqz2HTYBLQavZ+bDaOQWVFPND0TaD3ghKotGAEUcDI/SPxT8w/Vj07peFM3BmcjTsrrR4oiAJCvELQKqCV1T80SRlJOHztMDrU7ABXh+K9BuXlxMtYeHIhjsYctZhLWMGpAn7r+1upfBi0dU/y2jcKRlxNuooaHjVKbEXM8kKr12LRqUX49fKvECEixCsEE5tORDO/ZrL/g/f4fBYHlQOWdF4i9WqJoijN0y7spRpSslLw3sH3cPL+SYxrPA5v1n+z+AovBsX1gcMgGBCZEglfJ99Sf19J06dhf+R+GASDNBJk09VN0hzHWp610C24G1acWyGFmraV2mJqi6mo7Crfv8W5tf25uHMYtHuQRYgo6MItpS0xMxHdN3ZHpinTfBmz51cV+lrKOoMO93UPP9in/H97dx4nRXXuj/9TVV3V6/T0rDCsw74JQlQWRREGQRATNC7J1atGY4K5aq5eFZckoFFjFJP4k/DVmES9NyEqihsRF9SICoIYUQQHUHZmYLbu6em9q+r8/ni6e6aZHXroYXjer1czdHV19+lT55w6zzmnuqP1cFvdqSX9a/atwf9u/d9UfowtHIuGWAMOhw6njueVo67EwokLO/W+XdXZTi4131KzBdMHTMe8wfMwoXhCl/xMz4cHPsTta29P+xbblr54COjcEuPO2N+wHxe9ehGiRhTzBs9Dob0Q/7ft/1LHq7Vv1z6W/N9etx0bKjdg3pB5ra6carpq5T9H/yde2fkKGuINOKffOVg6Y+kJHyweKw42e6ieHGwCwK9XbYNt/e9xu/oCfVHQgg+Bgta/0aurxYwYvvV9m1pK0l0djwpfE67BW3vewhu73sCh4CE8PO3hY7rYvCfprg1uT7XDuwOHgocwte9UyJLcLfI/bsRxwcsXoDJYmfoypc5eY9sWIQQOhw53eFbqeOoO+d8VTGHiyS+fxP/b/P/Sru/Ns+bhzol3Ys6gOVk/L7SV90988UTq+sez+56NP5b9Mevpbc3be97Guop1za4LzqRttduweN3iZjOGAF3Xv/K7Kzsd5PaUsh+Kh3AgcABuzQ235obNYqNvoj7wAdbuX4uvar/CRUMvwr1n3ttlZajp7zkm9XH2wV2T7sK5/c9t8Tldnf9CCCz8cGHqG6UBWt7/8vde7tTvafZU3bX8c7B5jHp6sLmtwo+r/r9VWGO9DR4pCBSOAH68BrB17VKkE113rfAnC87/7Oou+b++Yj2e3fYsrjvlumO6bvJE013yv6usPbAWd354JxpiDZg7aC4WTlzY4WvIu1pbea+bOu768C7sb9iPx6Y/xp1jUJ688s0r+Nb3LYodxanbqPxRR3W5RU8v+0lxMw6LZOnSwYq4Ecdlqy5L/Yb1VWOuwk/H/bTNpbnHI/8DsQAuff3S1M9MddcVAtnQXct/Z2Klzn2HOesRRvdxo7ikP248fDP+V/st5JrtwMqfAD9YDsiZXz7CGGOZMqXPlDa/YZadmM7pdw7+edE/UR2uxvC84dlOTodZZAsemfZItpPRrVhkCy4Zfkm2k3HCOfIb2LvkPRQVy8qW4dVvX0XZgDIMyxvW5e/ZES7NhSXTluDn7/8ck0omdfpnpVj3xpHFSer7p/XDR+ZYPGRcQRt2rAb+9WB2E8UYY+yklWfLO6ECTcZORCWuEiw4dUG3CTSTxhSOwZpL1+CBqQ9026Xo7OhwsHmS+v53+qLQpeFP8fPxlmU6bVz7CLDxKcDQs5s4xtojBLB7LVD+TyAeaX9/xhhjjDF23HGweZLyODQ8/sPvQJYk3By4GnusiW9ufOM24LFxwIe/A0LNf/6AsawSAtj5NvDUdODZC4Hn/gP4/WjgnUWAd+/xTQdjjDHGTnzRBmDvOuDQV0DDYZ50yTC+ZvMkNmVIAe44fyQeWl2OS+tvxst9/oZ+desB/0Hg3XuBD34LDJ8NjJwHDJsF2D0de2EhgKptgKwCBUM7fx1oqA6o3w/0Gtv8uaYBVG4GFCtQPArIwO9cshOAEQfK30D+B0ugVH2Z/lioFvj4D8DHjwFj5gOzHgBy+2b2/YUADm+lQHfnO0DFv4F+ZwAX/A4o4mV/GefdC6h2wHXsv8/JTlL+CmD/BiBYQ+eUcGLwtGgk0GsMnT+smf0Jqy5XsxP497NAoArQnImbC+h3OjB4Bn/nAssuIYDab4H6fUD/yYDW+d8DPe4ObwU+/Qvw5QtArKHJAxLg7gMMmgYMLQOGzAAcXfSFZdEAoGiA5eh+7/xEwMHmSe6n5wzGv/d68fY2YNqhm/Hi93+FCRXPA188D+hhYNurdJNVoO9pgBGjk3bIC0gS0H8iMPBMYOBZQDwMlK+ipY3+g/QGNg+dCPtNpI6jotJraQ56TtPKKwTw+f8Bb/0CiNYDOX2A0d8FRs8HJBnYuhLY+goQOET7W3Pp/QdMAnJKKAC1aIDqoJ9y8ZTyybez9ChQ+QUFd54B1Nh2JqA3TSDqp+coGh3rYzkGtd8C//5fYPNyKMEqpFLSfxJw7l1AXimw6a9UbsJeYOvLFAxOvxuY+FNA6WQTF48Aez+i16j9JtFJ9VJAG/Wn77vnQ+CJs4Bz7gDO+jmVvXgEqNoK1O0GZAtgsVKZt7qBvEGAs5DqTWtMA6jZAeT0Bux5HU931df02be9BjRUUidUtVNd6DMBOP1H9LcrxMOAdw/V+aKRQG473+Ad9gK7PqCR5P6TgMJhlCemSdeOr1sK7FtH++YPAQZMAQZMBkZe0LmTfXIW/JNlQKCanussBByFQNEIet32BqwOb6NyMGAK4Cpq3B4LApuXA5ueprLhyAfs+YAjD9ByqH1THXQcHAWAs4jav5zeHWuXogGgbhcdw/zB6Wn07gW+XUN5ZMSpbZRkKmsFw4Beo+lzdbb9EwKo+Bz46iXgwKdA8WhgxBxg0DmUjvoDVL62vQpUl9NzJAmABFhdgLsfHfuWbrbj9HueoTrg69eALS8Cez4C0M4KBHs+pV3Lob9FI6hTOWhaelkzdUgRL2DmA8fybZCmQW2Dbw9QOJza2HafYwLfrAE2Pkl/W+MZAHznamD8FUA8RMey8gsKtk/5PnWYO3MdXKgO2P0BHdd+p3fuuR0RrKEyFaqlW6Se6olnAOAZSPnfHa7bC/uonllzANVG20yT+kENh+ivLZfS7ig8PgHDgc+AT/8MHPoSMPUmNyP9fuFwmiwYNY/akc4SAggcBqp3wlp9EPDn0+eTFECYgBmnGcCon+rbt+9ToAnQMZz3eyp3maJHqdy4+3SubJgmDRDvfJueHw9T/9a3Hzi4qZUnCTqnfbGcbpIMlJxK56x+Z9DNMyA9HXqM6sy2V+kyn1iAyo4Ro/yy5VKf2J5H/YPAYbrFAnS+GDkPOPVyYNC5ne+7dHP80yct6Ok/fXIkfySO7y39GLtrgpAkYP74vrh1aiH6H3gDKH8d2PMx0ORHqzPGYgPGXASc9iPqiL1+M1XQTNFyqOOVV0onjGA13SSZOq+lZwOlU+nxpg1GLEij4vUHqCGw5gA5vWE4e6E6oKNIi0Gp30udhoZKatSFSQ29EQUifupIR/0UaOT0AdwlFBBH/dRZ9O6hE1XBEEpD6dlA77HNO76BKuCrlcBXL9Lzkp1WVzGdCIJV1JEO1VCntngU3YpGUgdRAPSPRJ1R1UHbZYXSGakHIj4KcPauo06m3uQaSNlCnUVrDp1gZAt9JndfOnkVDKEOW+VmYP9Gen7El/4ZVCe9hqc/kNuftgWr6bMFqyktyRF6i43SFKoBgrVHjDQCsZLToUxfCGXYeenHLB4GPv8b8N6v6fkAzYyfcW1j58VZRDPm1dups+zbn/g8FgqM6w8Au/5FHbXWOAqBYefRzMi6x6l8ANTJt9iA6q+pPLTG6gbyB1He5Q+hv3mlFNB8+y69f6SejlfJOOro959M5SpYQ3kW9tLJy9TpRHb4q8bOf1v6fIeCTlkFarYD1TsoP3JK6Dgmj2f+EDpeTcti2Auj5ls07P0Sbr0Gsm8v4N2dqAMV6e9TPIbyaPA0qmvRAJ1M63bTZzz4GdWXJGcxDVgd2gLUfdt6+rUcYPINwJSfNQbipkmrKLx7qPy7iuk4714LrH2YOtttsbppwKr/ZGoT+p5GZaF8FbDxT8DejxM7JgbWRsyherPpr83LeUdpLqD3OKDPeBqAiPrpmEZ8VAZrdjYO1gGAxQ4Uj4RZMAzGgc+hend27H1UJ3WO+kygW+EwqsfWHKpvYR/lm3cPlZ+vX6dj2ux1HJTOqq1H93kBKlNDZ1LHs3QqvT/QuBy9rY6jENQe1+ygeiJMOm42N7VlNd8Ah74AKr+kstC0/skqlQlHPpUPPUr7JNuI1kgyHSMAaDgEEayCJEwISYHk6kWDBnmlNAAyYm7jDI4Rp4GqLSuobVDUxkG3+n10bJu2rwVDKbgtnUqfSVaonY34gIrNFDBW/JuCsSRXLyqr8TAQC9E5oGZH+8eg9Gxg5mIKHKMNwO4PgV3vU14UDKNAu3AYzfRsWUGBbTIvPQOBsZdS0Jo3kAZ2m3aGhWgc+Girk2waicD5qUTg3Eb302JPDAQ4IVQn4oodlvyBkD39KABWbU3OYUfcog10zu09js6rhcPpXF2zE6jdSfnZeywFDn2+03j8YkFqYw99ScHTno/Ty72iUf2N+ltv55OBp7OIBrfc/ahd6Xd6875GS4w4BW1fPg/s+4TOXyWnUnshBAWZrQZIbSgeA4y7jAYjmg6cNVV/kAZR93xI9aluF7Xdx2Lc5cB599Gxqv4aqCqn8p0851tddHwGntW8/1P5JQ0eVX1NbVTdLqr/9nwaABw4hdo21ZGYGbRSHsUS55yIP/HdDqvS29QjufsCp10DnPoDuh9I9BUPbwG+eY9WSLTUB1Ydif5YL6q/+zfSRMmxchZT+RQGYBoQpoGItQDaD549YX/6pNsGm+Xl5bjpppuwbt065OTk4KqrrsL9998PTWt71EgIgd/+9rdYtmwZqqurMX78ePz+97/H5MmTO/zeJ1uwCQA7DjfgR09/ioO+MADAIku49PT+uHLyAIz2GJB2vEUBheZqHMWPBYB96ylIaaikFyoaSaMzI+dSRz4ZgFR8TicAI0YjYbFAeuWV5MYO6PDzgSk30olw6yuNHdC8QcApFwNjLqb9962n24FN1PjrMeqUG7HOfXjF2jhCD5HeGTietBxa/pk8UUV8NAPUFYH+icRRCIz/IYxTr0C1yGu77Aeqgbd/AXz53LG9Z/Fo6og4C6ms2z1UtkvGN84WhX3AO7+iZW1HsiRGwPUo2p1dyRRnMTD6e3Ty1cPUGQ3V0UyVr5PXsyoa1TfNQcFI2JvZtEoydSbjweaPDTgTmPJf1BnZ9wnN4O3bQHUboBUNE66gQHnPx43LI1vT7wy6DCBUR53MwCGg4ouWOwWyhToN7b0mQEHBmIsoUA57EzPgdTRAkgwEYg00aBKsplmATNFcidm3POpcCUHvVVVO7WXTYL6zcvtTAFTxOXW60943BxhxPr23oibe26QOvv8gHZP6A40DdS1JzsSaBgBBgVhxom71GU/1vfYbCqBqdlCA0JkOr6LR8R57CZ1LVHv640LQ+erwtsZZhWgDtbfJ81Vn8k9z0TnPnkdBWqim48/tjH5nAJMWAKO+23z2rGIz8Nkz9P7JvFI0aseEmX4ci8fQYFNbg2IpiXNiiw/JdOxMvfEcJcnUbhSNoADC1YvqrR6j8rnttZbbIi0xCJLpetIRsoUGhEO1LbdHmeQopOAxEUTA1OlckexTKRrNvnWkDOUPpuBfc9FnkC2JFUUq/V+YFDBvfzO9rZNVmukcexmVlWQAXrG55cGmjlA0CoiHzKCbogKrbml/sK8pZzFdBjPqQhrw2Px3GoDMpNwB1NZYbI0rT4bMoHairUGSsI9mLPeuBw5spCC4rXLaexx9DncfyhtFoz5mpD5xrvBRPzU5cOUqpoD6i+eon90CPbcU0s3/5mAzk7xeL8aMGYNhw4bh7rvvxsGDB3HrrbfiyiuvxNKlS9t87kMPPYRFixbhoYcewrhx4/DHP/4Ra9aswebNmzF4cMeWEZyMwSYAROIG/rFxH/74/reoCURT2/t67DhvdC9MH1mMPrk25NpVuO0qbGri/YVoPIHklXbszUJ1VLE2/ZUaOoBGnuc8TA1ocvRPCJqJEgadODuydCIeplGwQ1/RrE/9gfSlbMklH/s2UKe8LVoOnYBa6nzk9KHgUNESJ97E0lGru3EGQY/SzI+/kmYyrS4aJc4bSGk59BWlpa2Ti8VOwfuAKYkZ2irqJEkyNdDOIjpZBQ5Tg1X1dec6nKqTGryBU2h0ceCZ9Bl8+xpverjx5BgP07a63TTSGA/SZ+o/kQK04tEAEiPdpk6Nq28fdUR9+yndyRkoZ2KENTkSGQ/TeyeXO+b0ps9t0ZqVfX8kDt0QyHOozb8mfdcHwAcPU6cqWH1EftpoBD9vEN1PLnPRHMDgc4Fhs2kWtqN2f0jBrbO4cQTaM5DKqhCUb+E6yqvab+lvXeJv7S7qhFnsQOlZwJAyYNDZlF+719JrV22lx12J/Ep2SpIzso5CmmEZeGbLS0JNE/j2PWDTX4Adb9JrFQ6j4NnTn8pm3beUtmBVmx9VKBrgGQipYAjlX3KWNm8QHdMDn9LMzs63GweJJJnqkbOAZnCGlNGsp5ZDM1J7PqKg0uYBJv6YZgGO1HCYrsnd9JdWBoNa6BQPPAuYdgcFRkeWD9OkNmLfehq13ree8rypQefQUuzSqdTR2L4a2PEWvc+E/wQm/bT9JcOpjBMUzPj2UwescjN17hoqE8uqPPTXVUyd9MLhQOFQmmlJtGOiegdCtmLYxs2HMujs1pfrxSMUpB36MjEz9jl12lobhLO6qT0aOJXa3qZLJusPUpmp20X5MHh641LC9uhRmpGs20X59817NFNwLFy96XNH/NSOC5PKf8k46uCVnAoMmd65JehHCvuo7u3fQB3SnN4wXL3hiwAeqwklcIja8gOfJlbitNCF6jeR2sPkapdkx7JoFHV2PQPo+H/7Hg2qNuuUSxSw9ZlAM28DJtNnbE+0gTrEOb2pfls0Kntfvw68e1/juTap5FSaeavZkZg1Mqi+DjqHZjJHzqN2YcsKGrRqp33osH4TgYnXJy6lKWiyPNWg85hvHw1exIJALAgzGkC49iDsuheyv4Ie06OJepObmOnObbxpTjo/HdpC9TwZDOeUUNtny6X8r9/fcvokmQY/Ss+ieuEsooAt2kArNWxuOp6uXnTujfgTK6dqGldQJe/X7kxcmtLJQfC+p9GsecMhai8ObaG2b+h51PYMKevYMnk9RjOVW1fSKqm2Vu4AdE7pl7g8qWAYUDAUhqeUVnUV5kOBoPO6rDQGuS31ywwd2PAE8P4Dje8pW2iVg6s4dWwRqW+8NKol7n50HIpGAIUj6FhU/JsmOfatb35+TyPR8R51IQ3SlJyamaXZ8Qi1r759jUthg7WUxlEX0nnxaFVvp0mWUA0NaEoyTElCQNjhPO8uDjYz6Te/+Q0eeOAB7Nu3D/n5dN3En/70J/zsZz/Dvn370KdPnxafF4lE0KtXL/zXf/0XHnyQfjMyFoth+PDhmDt3LpYtW9ah9z9Zg82kUEzHs+v24umPd6OqIdrqfk5NQR+PHX3z7OjrsSPHpiISNxDVDYRjBjSLDI9DSwWnmtJYySVIKMzR0DvHhv4N/4a9div29L0Q2/0adlY1wBeKI9+podBlRYFLgyxJqA1EURuMoTYQgywBbruKHJsFOTYVqiJBluimyIBNVeC0WmBXFdhUGbopENcFYoYJSQLcNhVuzURu3RZYIzWJ5VyJGQJ7Hi2rcPeh4NA0gGA1DN8B+Cp3wd57BKLugYhIVsR0E6agGXUzsWTVTLyMKUTqL9BkGxq3OTUL3DYFuYFdsFd9Dil5kgpUAcKAPnQ2vP1noSpmQThmQFVkqIoMzSJBCCBuCMQNE3HDhKrIcGgKbKoChwWQJUBAgkh8NqFHIOkRCuhMHaaWA6G5AUVFVDfhj8TRENHRENFhmAKaRUq9n6rI0BQZamKbltwuA7IeRhBWBKI6AhEd4XjLM7ES0hv5ltr8IzfFDBOH/RFU+CKo9IWxt9qP2rCBQ/4oAlEamdcUGcVuK3q7beif78DgQieGFLswuMiJPIcGq4jAFqyAGq5G1FGCoKMfwjoQ1Q1IEiBJlDLdFPAGY/CG4vCFYgjFDBimQNw0oRsCwagObygGXygOfySOQpcVQ4tdGFrsQmmBE6YQCER1hKIGIroBiyzBIsuwKBI0RYZFof+rsgzNIifKpgS77kNEcqA+Lqde22pR4LapyLWrcKkCQlJgADBMAcMUME3AEAKGaSIcM1ETjKIuEENtMIpI3IQiJ+sD4HGoKHbb0CvHhiI7IBQLInEgnKirqpJMiwKbGYS9YS+0+t2Q6nZRJyGvFLqnFCFnfxwIKnDlFiBmIlXXo3ETEd1ATDfh0CzwOFTkOTS4EYRQVBiyDQaAaNxEfTgOfzgOXziOuGHCbVepLtosiMRNVNSHcag+gkP+CGQJyLFRHXfbVPTOtWGg6kfR5qWQdv0LKBwOUXoWov2mIuQZDosRgBaqhhquQdjiwn5tKA54wzjoDSGim7DIjeXZoSmptoP+WuCO18B1eBOk+v1oGDAdFVopDtVHEIwayLWryHOqyLOrEJKEQ/VhVPgiOFQfQcyg/LYkbooip/5vUSQocvP7qizRc5o+rkh0KVjcQCRObagiS3BoChyaBZoCVFTVAFYn/BED/nA80eYQWQKsFgVWVYZNVRqPqSrDJhtwxn2wiRCsZgiaEYTQ3Ii6BiBiyUFEF/CGqPzUBGLwh+NwWi3ISxxLh2aBNxRDXZBuoZgOOfl5E+lvvE/lXbPIsFpkWC2U1x6HijyjDq7aLyALE5AVCEkBYgFIh7ZQh7ryC+rQ5w9OBNzDIAqHI543FGH3EIRlJwQEFEmCIgGKGUVEaAjGDYSiBhoicdQGY6gJRFETiKI+HEdcb6zDkgQ4NAV21QKHpsBqkSEn0qxIEpxWC3LtKjwOKpcCAjHdRCSuo7bOh4J8D+yaJVVnCuFF7jevQt66Eog2QIz6LgIjL8FhbQAicWpfZEmCJAEx3UQoRsc1EjfgsFrgsVMdz1EFFIkuxZCEgCFbEDQsCER1BKM66oIxHPZHUJmoG9G4SemWAEWWkWtX0cttRbHbikKXldqrGD03Zgj0ybVhgEdD6cFVUKu3wux7Ghr6nAUvchE3TNg1BXbZgCO4HxFLLqqFGzWBKOqCMdhVBQUuKwodMgoDO6HqQchmDJIRo9kd2UKzZYqFgofkbHT1dhpgURLXrVusEMVjEBx3FSrtw1HVEEU4ZkA3TcQMAdMUUBJ19MhzjyIJBPz16FWYD5umQlVkyBK12YYpEn9NxA2RaiOtqgynZoFDjsMeqkDMXoyw7Ei8p4DTakFOtAquqk2QA4cBZxEMRxF0ewGCjr7wG9bUOdFIpC1505ucd+OGSNXfpu28lvhrsyhwWQzk+L6GVvkZpHBd4rsMEsFaPNT4BVYRP0Sf8QgM/z4Oa/1RH47DapHhslrgUAUUI4rDERWH/VQO/OE4RKJvISASixxEanW6y2ZBoYvKRFGOhkI1itydL0P67BkaiLfYaSl3cvBx4BSYfU5HTLYiEjcQiZuI6gaC0TgOVdXCkeNGzACiugnDNBPvS+elhoiO+nAcvnAM0biJfnl2DCl2Ybg9gN7BcsRz+iOYU4qQoUA3qQ7LMmCRZbj8O+Hc+Sqkr1bSIKXFBoz6LqKn/BBVhRMRiguEYtS3iBsCTk2httuqwCkCiRVzMUCPUp9Hc8G0OCBUO4IxE7XBGLyJtitmNPbZ4oZAdUMUVf4IDjdEUBeMQ5GRKndWi9x4jrJbEn/pfOW2q3CoClSLnDrWDRE91Ub6QvG0PGra/0Pib9PjZlMVFLi01PGyq0rqMcMwEGyox6SRAzjYzKRzzjkH+fn5eOWVV1LbfD4f8vPz8de//hXXXHNNi8977733UFZWhs8//xzjx49Pbb/11luxcuVK7Nmzp0Pvf7IHm0mmKfDFAR/e3nYY72w7jG+qjnHtPmuTLAGaRYYqy1AtMkwh4Asd5yVFjIEGAqwWGYokIaKbMMzuc5rQFBlFOVaE4xRw6RlOm6bIiBnHsAyVdZpDo8FBl6ZAkwWCOlIBdzhuoBsVv2YssoR8pwZVkVEdiCKmd++y47JaUgN1x0qWAEWWICUGtmSJgnZJQiIYTn/MH4kjFOt+l4Voiox4IjDoSqoiwWpRUoMQcmowQmpcTBCKd2n7oyoSChwa+tlj8As7woagoDJuIKKbWSu/miKjwKlipM2LasOJvQEFDRkqpz3BgDwr3r9t+gkbbHbLrzsqLy/Htddem7bN4/GgpKQE5eWtfxFG8rGRI0embR81ahT27duHcDgMu93e7Hl+vx9+f+M3TVZW0vWHhmHAMLpXw2gYBkzTPG7pGtfXjXF93bjtvGGpGYnk7ERNIIaDvjAOeMOo8IURihs0mp4YXY/pZmKki/Zv2n4apom6FgIpVZEwqNCJQpcV3mAMNYEY6kIxCCGQ59BQ4NKQ79QgBI2k+VMzcTRaZQoa1Ywb3bh30gpTAJG4iQhMoPUJ5S4nSdSB6i55mO+gWa3ebis8GlDay4O+eQ6U5NqgyBKq/FEa9fdHsK82hF01QeytDR11EKLIEjx2FU6rkpqZtMiNsx55DhUuqwWH/BF8UxXEntpgWl4lA7XjXQ7dNgvynRocmkKzn4JGnH2hWIt1rS0iURY7Q1MkxDr4eTWFZi6CR3Q8ZQkodttQ4rYCQKqO14fjiCY6QTHDTF1b3p7k67k0BXFTQDdMxHSBcFxHINpyG3pkR6+1z6VZZPR22+DUaKReN83ULItuiMZZF8NMm4HJBKemwG1XYZGl1CJOwxSI6tRpPJYALc9Bo/fBqA5fKD2Yd2o0+u7ULKm2Nn12if7GDeq0RjvYcQ3FDIRiBtpaENdRVouMwsQMQa5dpQE8hVYZCAiEYwaCiRnGmG7CEDSrppsCwaiB+nCsw+UYoNm1tlYAtaQzdQVIlOMcK3q5bejltsFpVWCaIrG6QaAuGEdVQwTVDdFUubYlZvYUWUJ1IJoKpDoTaGoWGXGj9SDMFIBpJFYFHQVJAtTEbKYiS4k20+xU3mTCsQR3FlnqcL2mlUiZCaAKnBo8DhVyIkqVJFoZlFypA9CXP9YEYmn1MG4IHGqI4lADALSzpLYVcqKPgMR7yZIEl5VWL7jtFmiKjL11IVT4Ov79FzHDRKU/ikq/A1SeMhtoShKQa1NhU+XUAIgiSyhwWdErh1YF5Ds0WjGWmCWPxAw0RHX4w3H4Izr8EfrbEI43O3clKbKUWhFikaXEcUn8bfZ/pPIwHDNS/d0WB3cTM5zdSWfS0y2DTa/XC4/H02x7Xl4e6upa/+IGr9cLq9UKmy39mpK8vDwIIeD1elsMNn/3u9/h3nvvbba9trYWVqu18x+gC5mmifp6uthbzsLPetgB2DWgtwYMz1WBvioA91G9VtwwUROM43ADVdx+uVb09VipEWsiueQ02ah2hG7SaF0obiCmi8QSuuRSNYFAzEAgasAfMTp8ojBNE6FQCHluF+wqLcFKLt9NNh5youFINipy4nuH0rfTfQHqZAWiBhqi1AGKG42dNYA6fvkOC/IdKuyJ5cC6IRBLLAlTE8t3ksFhRDcRjpuJQCH5uRpHTZM5mGroEncssoQcqwKXVYEj0RgLkUyLSHTUk/83EydNuhlCwKHKcFkVODUFNovc4hLZtkaNW3tIlmhJSzL/6+vrkZubkyj71NANdChAbycAJ4ACAIBuCFQ2RBGKUac3ZtASak2RYVdl2FRaIgM0LndWZAm5Ngucmtz8GtA26KZATSAOVZHg0Oh1k2VVCAFDIBV8JI9t3EgEBrqJiC6gKRItzbHRMYgZgspFREcwZkBKLBukZeK0/EiRkksWJXjsllQ+tSSmm6gNxVEb1BPLzGXYEst/kmmJJNLT9P+micRSSKo/8UgQBR437KoFmkVKPCbDqtDofEw34Y8adEKOGqmyrsjUOcm1WeC2WWC10P66KRCMGWiIGNAUCflOtVn9T+ajL6yj0h9DhT+K2qAOp0ZlLsdqgdUip4Kd5JLyEreGYpcGi9LysTRMQfUvUQeDMRPBmIGobiLfYUGRS0OhU4XVIiMSN1Ef0VEf1iEAFLtUeOyWTpWTpuWhaXDW+H+ql43HRqIBqESdDkV1xMMB9C3Kg01r+9SdrLtRvbGcNS1vUd1MraSwKnQc3TYLcu2WtPwXQiAYMxGOG4nj1rlzjhAiVZb9UR3+COW1ECLVKTaFQDhOeR+K03LXZB7YE/U0eZ/qVmI5eSIfrRYZDk2GQ1Xg0ORE+3P012UJQfnWENUhS4nzhgQEGvxw5uTAENTWhuIGfCEddSEddYmgvMCZ3l6nlsoJGkhNfg5FlhA3TFoOHdURjBqp5XYAtXsOTUl9JqemQGmhXrQkopupZdpJMd1EpT+Gg/VR1Ed0uG0W5FgVuG10vJN1PhI3oSoS8hPnHbsqwxBAfZg+ozdMS0qTSwLNJn+bXjpiNLmEJLnM0hQ0WFHkUlHkUlHoVGFXW56lOfLcE4sbqPP5YXe6YCQuHzGFSC1fb/pXkalcxQ2BcJzKVCRuQkuUc5tK+R9KDDoEY1Qv1MR5VFUkWBWZltdbFRp0lCToiUGJ5JJaTZGhyEidKw2BtIGmeGKQKaKbCCXalkCUzvHJ5ZFNL8ERic/ttllSZchtsyBm0PPDcQO6QWWs0EmDKB0tz6GYibpwPFVW64I6/FEdqiw1We5OnylZz5L5RautgFgogMK8XNg1S6tt6pFCMQP7vBHUhnTYmtRjVZESgzxUNoIxA95EGfOFddhVGfkONVGfVDi1ZHugwCJLCMUpLwNRA2HdRKKbBSB5eU5jAG5XZXjsllRZzxQ9MbinJ8po3DDp8gyr0qm+6pFMIVAf1hsHqiVAmAKhQANqamqy0u9vTW1tbfs7JXTLYPN4u/XWW/HjH/84db+yshITJ05EQUEBiopa+YroLEmOJBQWFnar6fSj1fLVt92TYRioqanpMXl/ouls2S/p3dUpavJevY7fex2tvsf4/I6W/2N9n9YUAxjeRa/dEZ34yqguwe1P9hiGgRpVznjeH8/zX98S4PSjfG5JRlPSeYZhoMapctk/BqXH8NxjaXsGdtUJoQc7sjtB+d/9yn802vEVHd0y2MzLy0vN3jXl9XpTXxjU2vOi0SgikUja7KbX64UkScjLa/kb6txuN9zu5rNziqJ0qwObJMtyt01bT8d5n12c/9nF+Z9dnP/Zw3mfXZz/2cX5n13dMf87k5buMx/bxMiRI5tdm1lfX4/Kyspm12Me+TwA2L59e9r28vJyDBgwoMUltIwxxhhjjDHGMq9bBptz5szBmjVr4PP5UttWrFgBWZYxa9asVp935plnwu12Y8WKFalt8XgcK1euxNy5c7syyYwxxhhjjDHGmuiWweaCBQuQk5OD+fPn4+2338bTTz+N22+/HQsWLEj7jc2ysjIMHTo0dd9ms+Guu+7CkiVL8Nhjj+G9997DD3/4Q9TW1uK2227LxkdhjDHGGGOMsZNSt71m891338VNN92E+fPnIycnBz/+8Y/xwAMPpO1nGAZ0Pf3rkRcuXAghBJYsWYLq6mqMHz8eb731FgYPHnw8PwJjjDHGGGOMndS6ZbAJ0G9jrlmzps19/vWvfzXbJkkS7rrrLtx1111dlDLGGGOMMcYYY+3plstoGWOMMcYYY4yd2DjYZIwxxhhjjDGWcRxsMsYYY4wxxhjLOA42GWOMMcYYY4xlHAebjDHGGGOMMcYyjoNNxhhjjDHGGGMZx8EmY4wxxhhjjLGM42CTMcYYY4wxxljGWbKdgO5I13UAQGVlZZZT0pxhGKitrUU0GoWiKNlOzkmF8z67OP+zi/M/uzj/s4fzPrs4/7OL8z+7umv+J2OkZMzUFg42W1BdXQ0AmDhxYpZTwhhjjDHGGGPdT3V1NUpLS9vcRxJCiOOTnBNHJBLBli1bUFRUBIule8XjlZWVmDhxIjZu3IiSkpJsJ+ekwnmfXZz/2cX5n12c/9nDeZ9dnP/ZxfmfXd01/3VdR3V1NcaOHQubzdbmvt0rkuombDYbzjjjjGwno00lJSXo169ftpNxUuK8zy7O/+zi/M8uzv/s4bzPLs7/7OL8z67umP/tzWgm8RcEMcYYY4wxxhjLOA42GWOMMcYYY4xlHAebJxi3241FixbB7XZnOyknHc777OL8zy7O/+zi/M8ezvvs4vzPLs7/7OoJ+c9fEMQYY4wxxhhjLON4ZpMxxhhjjDHGWMZxsMkYY4wxxhhjLOM42GSMMcYYY4wxlnEcbDLGGGOMMcYYyzgONhljjDHGGGOMZRwHmyeI8vJynHfeeXA6nejduzfuuOMOxGKxbCerx1mxYgW+973voV+/fnA6nRg/fjz++te/oumXNp977rmQJKnZrby8PIsp7xmeeeaZFvP2zjvvTNvvL3/5C4YPHw6bzYZTTz0Vq1atylKKe5bWyrYkSXjuuefa3IfLf+d88803WLBgAcaPHw+LxYJTTjmlxf06Utbr6+tx3XXXIT8/Hzk5ObjkkktQWVnZ1R/hhNZe/vv9fixevBgTJ06Ex+NBr169cOGFF2LLli1p++3Zs6fF+jB58uTj+XFOKB0p+x1tZ7jsd157+d9amZYkCTabrd39uOy3riN9TKDntfuWbCeAtc/r9WLGjBkYNmwYVq5ciYMHD+LWW29FKBTC0qVLs528HuV3v/sdSktL8eijj6KoqAjvvPMOrr/+euzfvx+LFi1K7XfWWWdhyZIlac8tLS09zqntud58803k5uam7vft2zf1/+eeew7XX3897rnnHsyYMQPPP/88LrroInz44Yd8kjtGy5Ytg9/vT9v2hz/8AS+99BJmzpyZ2sbl/9ht3boV//znPzFp0iSYpgnTNJvt09Gyfvnll2Pr1q144oknYLPZcM8992DOnDnYtGkTLBY+zbekvfzft28fnnzySVx33XW4//77EYlEsGTJEkyePBmbNm3CqFGj0vZ/8MEHMX369NT9nJyc4/I5TkQdKftAx9oZLvud117+l5SUYP369WnbhBA4//zzMWPGjGavx2W/4zrSx+yR7b5g3d6DDz4onE6nqK2tTW178sknhaIo4uDBg1lMWc9TXV3dbNv1118v3G63MAxDCCHEtGnTxAUXXHC8k3ZSePrppwWAFo9D0vDhw8UPf/jDtG1TpkwRc+bM6erknZQGDRok5s6dm7rP5T8zku2JEEJcffXVYsyYMc326UhZX7dunQAg3nrrrdS28vJyIUmSeP7557sg5T1De/kfCAREMBhM29bQ0CDy8/PFjTfemNq2e/duAUCsWLGiaxPcg3Sk7HekneGyf3Q6kv9Hev/99wUA8cILL6S2cdnvvI70MXtiu8/LaE8Aq1evxsyZM5Gfn5/adtlll8E0Tbz99ttZTFnPU1hY2GzbhAkT4Pf7EQwGs5Ai1tSuXbuwY8cOXHbZZWnbf/CDH+Ddd99FNBrNUsp6pnXr1mH37t244oorsp2UHkeW2z79drSsr169Gh6PB+edd15qnxEjRmD8+PF44403Mp/wHqK9/Hc6nXA4HGnbXC4Xhg4dioqKiq5MWo/XXt53FJf9o3M0+b98+XK43W5ceOGFXZCik0d7fcye2u5zsHkCKC8vx8iRI9O2eTwelJSU8HVSx8FHH32Evn37pi0N+eCDD+B0OmGz2TBt2jSsXbs2iynsecaMGQNFUTB48GD85je/gWEYAJAq70fWh1GjRiEWi2H37t3HPa092fLly+F0OvG9730vbTuX/67X0bJeXl6OESNGQJKkZvvx+SGzfD4fvvrqq2ZLaAHghhtugKIoKC4uxvXXX4+6urospLBnaa+d4bJ/fMTjcbz00ku46KKL0q7ZTOKyf2ya9jF7arvfzRb1spZ4vV54PJ5m2/Py8rhSd7GPPvoIzz33HB599NHUtmnTpuGqq67CsGHDUFFRgSVLlmDmzJn44IMPMGXKlCym9sRXUlKCe++9F5MmTYIkSXjttdfwi1/8AgcPHsTSpUvh9XoBoFl9yMvLAwCuDxmk6zpeeOEFfPe734XT6Uxt5/J/fHS0rPP54fi54447IEkSFixYkNpmtVpxww03YPbs2fB4PNiwYQMeeOABbNq0CRs3boSqqllM8YmrI+0Ml/3jY/Xq1airq8N//Md/pG3nsn/sjuxj9tR2n4NNxlpx4MABXH755Zg+fTpuvvnm1PZ77703bb958+ZhzJgx+PWvf90tly+cSGbPno3Zs2en7s+aNQt2ux2///3vcc8992QxZSefd955B9XV1c06GFz+2cno6aefxlNPPYVnnnkG/fr1S20vKSnBsmXLUvenTZuGMWPGYN68eXj55ZebLYdjHcPtTPfx97//Hb169UJZWVnadi77x6a1PmZPxMtoTwB5eXmor69vtt3r9aZdx8kyx+fzYc6cOSgoKMBLL73U5jUOTqcTF1xwAT777LPjmMKTx2WXXQbDMLB58+bU6N6R9SE5Gsj1IXOWL1+OgoKCtOC/JVz+u0ZHyzqfH7re6tWr8ZOf/AS//OUvcfXVV7e7/9y5c+F0OrlOZFBL7QyX/a4XCATw+uuv4/LLL4eiKO3uz2W/Y1rrY/bUdp+DzRPAyJEjW/xtqcrKymbrutmxC4fDmDdvHurr67F69eq0n+Bg2ZUs70fWh/LycmiahsGDB2cjWT1OOBzGK6+8gksvvZSXQmVJR8v6yJEjsX379ma/09bStf6s8z755BNccskluPrqq3HfffdlOzmsCS77Xe/ll19GOBxutsKFHb22+pg9td3nYPMEMGfOHKxZswY+ny+1bcWKFZBlGbNmzcpewnogXddx2WWX4euvv8abb76Z9vuOrQkGg1i1ahXOOOOM45DCk89zzz0HRVEwYcIEDB48GMOHD8eKFSvS9nn++edRVlYGTdOylMqe5bXXXkMgEOhQB4PLf9foaFmfM2cOvF4v3n333dQ+O3bswOeff465c+ce1zT3NNu2bcMFF1yAGTNm4Iknnujw81atWoVgMMh1IoNaame47He95cuXY8iQIZg0aVKH9uey37b2+pg9td3nazZPAAsWLMDjjz+O+fPn4+6778bBgwdx++23Y8GCBejTp0+2k9ej/OxnP8OqVavw6KOPwu/345NPPkk9NmHCBGzcuBGPPPIILrroIpSWlqKiogKPPvooDh061KxxYJ03e/ZszJgxA2PHjgVAQc+f/vQn/PznP0fv3r0BAIsXL8YVV1yBIUOGYPr06Xj++eexYcMG/kbUDFq+fDkGDBiAqVOnpm3/8MMPufxnSCgUSl17tnfvXvj9frz44osA6NqnoqKiDpX1KVOmYPbs2bj22mvx6KOPpn7ce9y4cbj44ouz8tlOBO3lvxACs2fPht1uxy233IJNmzalnut2uzF69GgAwP/8z/9AlmVMnjwZHo8HGzduxG9+8xucfvrpmD9//nH/XCeC9vK+vLy8Q+0Ml/2j05G2BwCqq6uxZs0a3HnnnS2+Dpf9zmuvj2m1Wntmu5/dn/lkHbVt2zZRVlYm7Ha7KC4uFrfddpuIRqPZTlaPM3DgQAGgxdvu3bvFzp07xezZs0Xv3r2FqqrC4/GIuXPnig0bNmQ76T3CzTffLIYNGybsdruwWq1i7Nix4rHHHhOmaabt9+c//1kMHTpUaJomxo4dK15//fUspbjnqaurE5qmiTvuuKPZY1z+Myf5g+gt3d5///3Ufh0p6z6fT1x77bXC4/EIl8slLr74YnHw4MHj+GlOPO3lf/JH7Fu6TZs2LfU6f/7zn8V3vvMd4Xa7hcViEQMHDhT//d//Lerr67P34bq59vK+M+0Ml/3O62jbs3TpUgFAbNu2rcXX4bLfee31MZN6WrsvCXHEgl/GGGOMMcYYY+wY8TWbjDHGGGOMMcYyjoNNxhhjjDHGGGMZx8EmY4wxxhhjjLGM42CTMcYYY4wxxljGcbDJGGOMMcYYYyzjONhkjDHGGGOMMZZxHGwyxhhjjDHGGMs4DjYZY4yxY/Txxx/D4XBg3bp12U4KY4wx1m1wsMkYY4wlXHPNNTjllFNS9zdv3ozFixcjFAq1+pxAIICrrroKjz32GM4888yMpcXn82Hx4sXYtm1b2vY9e/ZAkiS8+OKLGXuv9kiShCVLlhy392OMMdYzcLDJGGOMJfzyl7/E8uXLU/c3b96Me++9t81g85ZbbsGsWbNw/fXXZzQtPp8P9957b7Ngs6SkBOvXr8eMGTMy+n6MMcZYplmynQDGGGOsuxgyZEinn/PUU091eN9oNApVVSHLRz/Wa7VaMXny5KN+PmOMMXa88MwmY4wxltB0Ge0zzzyDH/3oRwCAoqIiSJKE0tLS1L4HDhzAlVdeicLCQtjtdpxzzjn47LPP0l6vtLQUN954Ix5++GEMHDgQdrsddXV1KC8vxw9+8AP0798fDocDo0ePxqOPPgrTNAHQUtlBgwYBAC699FJIkgRJkrBnz54Wl9Gapon7778fpaWlsFqtGDlyJJ588sm0tCxevBgulwtbtmzB1KlT4XA4cMopp+Ctt97qdD7t3r0bQ4YMwZw5cxAOhzv9fMYYYycHDjYZY4yxFlxwwQX4xS9+AQB48803sX79erz88ssAAK/Xi6lTp2Lz5s14/PHH8dJLL8HpdGLGjBmoqqpKe52XXnoJq1atwmOPPYZXX30VTqcTBw8exIgRI7Bs2TK88cYb+MlPfoL77rsPv/71rwHQUtmVK1cCAB588EGsX78e69evR0lJSYtpvf3227F48WJcc801eP311zFr1iwsWLAAS5cuTdsvHo/jiiuuwDXXXIOXX34ZxcXF+P73v4/a2toO58v27dtx9tlnY/z48Xj11Vdht9s7/FzGGGMnF15GyxhjjLWgqKgotaz2tNNOQ2FhYeqxP/zhD/D5fNi4cSOKi4sBAGVlZRg+fDiWLFmChx9+OLVvPB7H6tWr4XQ6U9vKyspQVlYGABBCYOrUqQiFQli6dCkWLVoEq9WKCRMmAACGDRvW5rLZmpoaPP7446mAEwBmzZqFmpoa3HfffbjhhhugKAoAIBaL4aGHHsLcuXMBACNGjMCgQYOwevVqXHnlle3myRdffIFZs2Zh9uzZePrpp1OvyxhjjLWEZzYZY4yxTnr77bcxffp05OfnQ9d16LoORVEwbdo0fPrpp2n7nnvuuWmBJgBEIhEsWrQIQ4cOhdVqhaqquOeee1BZWYlAINCptGzYsAHxeByXXnpp2vbLL78c1dXV2LFjR2qbLMuYOXNm6n5paSnsdjsOHDjQ7vt8+umnOPfcc3HxxRfj2Wef5UCTMcZYu3hmkzHGGOukmpoafPLJJ1BVtdljR37JUK9evZrts3DhQjz11FNYtGgRTjvtNHg8Hrz66qu4//77EYlE4HK5OpwWr9fb4vsk79fV1aW22e12aJqWtp+maYhEIu2+z5o1axAMBnHddddBkqQOp48xxtjJi4NNxhhjrJPy8/Nx/vnnp66xbMpqtabdbykwW7FiBX76059i4cKFqW3//Oc/jzotAFBVVYW+ffumth8+fDjt8WN1xx134NNPP8Xs2bPxr3/9C2PHjs3I6zLGGOu5ONhkjDHGWpGcBTxy5m/mzJn429/+hlGjRjVbItsR4XA4bYbRMAw899xzHXrvI02cOBGqqmLFihWp6zwB4IUXXkBxcTGGDx/e6fS1RFEU/OMf/8DFF1+MmTNnYu3atRgxYkRGXpsxxljPxMEmY4wx1opRo0YBAP74xz9i/vz5cDgcGDt2LG699Vb8/e9/x7Rp0/Dzn/8cAwYMQHV1NTZs2IA+ffrglltuafN1zzvvPDz11FMYPXo0CgsLsWzZMkSj0bR9evfuDY/Hg3/84x8YNGgQrFYrxo0b1+y1CgsLcdNNN+GRRx6BzWbD5MmT8cYbb2D58uV4/PHHM3ptpaqqePHFF3HhhReirKwMa9euxeDBgzP2+owxxnoW/oIgxhhjrBUTJkzA4sWL8be//Q1nnnkmLrzwQgBAQUEBPvnkE4wfPx4LFy7ErFmzcMstt2DPnj2YNGlSu6/7+OOPY9q0abjppptw3XXXYezYsbj77rvT9pFlGU8//TR2796NsrIynHHGGaioqGjx9R555BH86le/wl/+8hfMmzcPb7zxBp544gnceOONx54JR7BarXjllVcwZMgQlJWVYf/+/Rl/D8YYYz2DJIQQ2U4EY4wxxhhjjLGehWc2GWOMMcYYY4xlHAebjDHGGGOMMcYyjoNNxhhjjDHGGGMZx8EmY4wxxhhjjLGM42CTMcYYY4wxxljGcbDJGGOMMcYYYyzjONhkjDHGGGOMMZZxHGwyxhhjjDHGGMs4DjYZY4wxxhhjjGUcB5uMMcYYY4wxxjKOg03GGGOMMcYYYxnHwSZjjDHGGGOMsYz7/wGhejqOyjStXAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N, alpha, n_steps = 80, 0.3, 200\n", + "rng = np.random.default_rng(11)\n", + "x0 = rng.uniform(-2, 2, N).tolist()\n", + "\n", + "fig, ax = plt.subplots()\n", + "for sigma in [0.05, 0.1, 0.2]:\n", + " r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=42)\n", + " states = np.array(r['states_flat']).reshape(n_steps + 1, N)\n", + " var = states.var(axis=1)\n", + " ax.plot(var, label=fr'$\\sigma = {sigma}$')\n", + " print(f\"σ = {sigma:.2f} : Var(K) numérique = {var[-1]:.4f}\")\n", + "ax.set_xlabel('itération k'); ax.set_ylabel(r'Var($X_k$)')\n", + "ax.set_title(\"Variance asymptotique vs bruit\")\n", + "ax.legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "54036a62", + "metadata": {}, + "source": [ + "**Résultat attendu.** Variance qui plateauise à un niveau\n", + "croissant avec $\\sigma^2$.\n", + "\n", + "**Lecture du graphique.** Trois courbes décroissantes qui se\n", + "stabilisent à des paliers proportionnels à $\\sigma^2$.\n", + "\n", + "**Conclusion.** Le compromis bruit / convergence est gouverné par\n", + "$\\alpha$ et $\\sigma$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "15bd197c", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : émergence d'une décision collective\n", + "\n", + "**Modèle.** $N = 100$ agents au sein d'un comité décident d'un\n", + "nombre (par exemple un score entre $-1$ et $+1$). Chaque agent\n", + "ajuste sa position vers la moyenne avec un peu de bruit.\n", + "\n", + "**Équation pivot.**\n", + "$$X^i_{k+1} = (1 - \\alpha) X^i_k + \\alpha \\bar X_k + \\sigma \\varepsilon^i_k.$$\n", + "\n", + "**Ce que la cellule vérifie.** Visualisation : densité des\n", + "opinions au cours du temps converge vers une distribution unimodale.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "11ad58dc", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:05:58.015710Z", + "iopub.status.busy": "2026-05-12T14:05:58.015433Z", + "iopub.status.idle": "2026-05-12T14:05:58.679005Z", + "shell.execute_reply": "2026-05-12T14:05:58.677754Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Moyenne initiale : -0.061\n", + "Moyenne finale : -0.075\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "n_steps = 80\n", + "alpha, sigma = 0.2, 0.04\n", + "rng = np.random.default_rng(7)\n", + "# distribution initiale : trois clusters\n", + "x0 = np.concatenate([\n", + " rng.normal(-0.7, 0.15, 35),\n", + " rng.normal(0.0, 0.10, 35),\n", + " rng.normal(+0.7, 0.15, 30),\n", + "]).tolist()\n", + "\n", + "r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=0)\n", + "states = np.array(r['states_flat']).reshape(n_steps + 1, N)\n", + "mean_traj = np.array(r['mean_trajectory'])\n", + "\n", + "print(f\"Moyenne initiale : {np.mean(x0):.3f}\")\n", + "print(f\"Moyenne finale : {mean_traj[-1]:.3f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4.2))\n", + "im = axes[0].imshow(states.T, aspect='auto', cmap='coolwarm',\n", + " interpolation='nearest', origin='lower',\n", + " extent=[0, n_steps, 0, N])\n", + "axes[0].set_xlabel('itération k')\n", + "axes[0].set_ylabel('agent i')\n", + "axes[0].set_title(\"Évolution des opinions individuelles\")\n", + "plt.colorbar(im, ax=axes[0], label='X_k^i')\n", + "for k, color in zip([0, 20, n_steps], ['C0', 'C2', 'C3']):\n", + " axes[1].hist(states[k], bins=20, alpha=0.55, color=color,\n", + " density=True, label=f'k={k}', edgecolor='white')\n", + "axes[1].set_xlabel('opinion'); axes[1].set_ylabel('densité')\n", + "axes[1].set_title(\"Distribution à différents instants\")\n", + "axes[1].legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "0540fb0c", + "metadata": {}, + "source": [ + "**Résultat attendu.** Les trois clusters initiaux fusionnent en\n", + "distribution unimodale concentrée près de $\\bar X_0$.\n", + "\n", + "**Lecture du graphique.** Gauche : la heatmap montre l'horizon de\n", + "fusion. Droite : trois distributions superposées (initiale tri-modale,\n", + "intermédiaire, finale unimodale).\n", + "\n", + "**Conclusion.** Le primitive `consensus_dynamics` modélise toute\n", + "dynamique de moyennage par interaction (vote pondéré, opinion\n", + "publique, scoring collectif).\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/16_robust_drift.ipynb b/examples/notebooks/16_robust_drift.ipynb index b950e81..cad7d31 100644 --- a/examples/notebooks/16_robust_drift.ipynb +++ b/examples/notebooks/16_robust_drift.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "7608f93c", + "id": "0324628f", "metadata": {}, "source": [ - "# 16 — Robust drift estimation" + "# 16 — Robust drift estimation (Huber)\n", + "\n", + "Doc page: [robust_drift.rst](../../docs/source/algorithms/robust_drift.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "5281ce54", + "id": "c4c76fee", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:20.462286Z", - "iopub.status.busy": "2026-05-12T10:16:20.461994Z", - "iopub.status.idle": "2026-05-12T10:16:21.152375Z", - "shell.execute_reply": "2026-05-12T10:16:21.150556Z" + "iopub.execute_input": "2026-05-12T14:06:05.154949Z", + "iopub.status.busy": "2026-05-12T14:06:05.154589Z", + "iopub.status.idle": "2026-05-12T14:06:05.740238Z", + "shell.execute_reply": "2026-05-12T14:06:05.738386Z" } }, "outputs": [], @@ -25,28 +27,43 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", - "id": "c351399a", + "id": "1acf345b", "metadata": {}, "source": [ - "## Synthetic stationary process with 5 % outliers" + "## Cellule 1 — Récupération du drift d'un OU sous bruit gaussien\n", + "\n", + "**Théorème.** Pour le processus d'Ornstein–Uhlenbeck discret\n", + "$$x_{k+1} = x_k + (a + b x_k)\\,\\Delta t + \\sigma\\,\\varepsilon_k,$$\n", + "l'estimateur de Huber via IRLS converge vers $(a, b)$ pour bruit\n", + "symétrique.\n", + "\n", + "**Équation pivot (lien avec OU continu).** $dX_t = (a + b X_t) dt\n", + "+ \\sigma dW_t$ ; en posant $a = \\theta\\mu$, $b = -\\theta$, on\n", + "récupère le mean-reversion $dX_t = \\theta(\\mu - X_t)dt + \\sigma dW_t$.\n", + "\n", + "**Ce que la cellule vérifie.** $\\theta = 2$, $\\mu = 1$ donc\n", + "$a_\\text{vrai} = 2$, $b_\\text{vrai} = -2$. L'estimateur retrouve\n", + "ces valeurs sur $N = 1000$ observations.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "08c7105d", + "id": "c43c131e", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:21.156097Z", - "iopub.status.busy": "2026-05-12T10:16:21.155724Z", - "iopub.status.idle": "2026-05-12T10:16:21.211614Z", - "shell.execute_reply": "2026-05-12T10:16:21.210552Z" + "iopub.execute_input": "2026-05-12T14:06:05.743817Z", + "iopub.status.busy": "2026-05-12T14:06:05.743466Z", + "iopub.status.idle": "2026-05-12T14:06:06.453430Z", + "shell.execute_reply": "2026-05-12T14:06:06.452371Z" } }, "outputs": [ @@ -54,113 +71,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "observation length = 5001\n" - ] - } - ], - "source": [ - "rng = np.random.default_rng(7)\n", - "true_a, true_b = 1.0, -0.5\n", - "dt, n = 0.01, 5000\n", - "x = [0.0]\n", - "for k in range(n):\n", - " if k % 20 == 0:\n", - " eps = rng.uniform(-2.0, 2.0)\n", - " else:\n", - " eps = rng.uniform(-0.1, 0.1)\n", - " x.append(x[-1] + (true_a + true_b * x[-1]) * dt + eps * np.sqrt(dt))\n", - "x = np.array(x)\n", - "print('observation length =', len(x))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "4fc130d8", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:21.214664Z", - "iopub.status.busy": "2026-05-12T10:16:21.214284Z", - "iopub.status.idle": "2026-05-12T10:16:21.507788Z", - "shell.execute_reply": "2026-05-12T10:16:21.506501Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "ax.plot(x, lw=0.6)\n", - "ax.axhline(true_a / -true_b, color='red', ls='--', label='OU level a/(-b) = 2')\n", - "ax.set_xlabel('k'); ax.set_ylabel('x_k'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('Synthetic series with heavy-tailed innovations')\n", - "fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "9ce9d2b4", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:21.510592Z", - "iopub.status.busy": "2026-05-12T10:16:21.510324Z", - "iopub.status.idle": "2026-05-12T10:16:21.518890Z", - "shell.execute_reply": "2026-05-12T10:16:21.516422Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a (true 1.0) -> 0.9402\n", - "b (true -0.5) -> -0.4721\n", - "IRLS iterations = 5\n" - ] - } - ], - "source": [ - "res = opt.robust_drift(x.tolist(), dt=dt)\n", - "print(f'a (true 1.0) -> {res[\"a\"]:.4f}')\n", - "print(f'b (true -0.5) -> {res[\"b\"]:.4f}')\n", - "print('IRLS iterations =', res['iterations'])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "55e42e3b", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:21.521983Z", - "iopub.status.busy": "2026-05-12T10:16:21.521704Z", - "iopub.status.idle": "2026-05-12T10:16:21.755541Z", - "shell.execute_reply": "2026-05-12T10:16:21.754070Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "OLS a, b = [ 1.00031819 -0.51377951]\n" + "a vrai / estimé : 2.000 / 2.296\n", + "b vrai / estimé : -2.000 / -2.415\n", + "theta_hat = 2.415, mu_hat = 0.951\n", + "itérations IRLS : 9\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -168,36 +89,173 @@ } ], "source": [ - "# Compare against a naïve OLS that is broken by outliers.\n", - "y = (x[1:] - x[:-1]) / dt\n", - "X = np.vstack([np.ones_like(x[:-1]), x[:-1]]).T\n", - "ols_ab, *_ = np.linalg.lstsq(X, y, rcond=None)\n", - "print('OLS a, b =', ols_ab)\n", - "fig, ax = plt.subplots()\n", - "labels = ['true', 'OLS', 'robust']\n", - "vals_a = [true_a, ols_ab[0], res['a']]\n", - "vals_b = [true_b, ols_ab[1], res['b']]\n", - "ax.bar(np.arange(3) - 0.2, vals_a, width=0.4, label='a')\n", - "ax.bar(np.arange(3) + 0.2, vals_b, width=0.4, label='b')\n", - "ax.set_xticks(range(3)); ax.set_xticklabels(labels)\n", - "ax.legend(); ax.grid(alpha=0.3); ax.set_title('Robust vs OLS drift estimate')\n", + "rng = np.random.default_rng(0)\n", + "theta_true, mu_true, sigma = 2.0, 1.0, 0.2\n", + "N = 1000\n", + "dt = 0.01\n", + "x = np.zeros(N)\n", + "x[0] = 0.5\n", + "for k in range(N - 1):\n", + " x[k + 1] = x[k] + theta_true * (mu_true - x[k]) * dt + \\\n", + " sigma * np.sqrt(dt) * rng.standard_normal()\n", + "\n", + "res = opt.robust_drift(x.tolist(), dt, huber_delta=1.345)\n", + "a_hat, b_hat = res['a'], res['b']\n", + "a_true, b_true = theta_true * mu_true, -theta_true\n", + "print(f\"a vrai / estimé : {a_true:.3f} / {a_hat:.3f}\")\n", + "print(f\"b vrai / estimé : {b_true:.3f} / {b_hat:.3f}\")\n", + "print(f\"theta_hat = {-b_hat:.3f}, mu_hat = {a_hat / -b_hat:.3f}\")\n", + "print(f\"itérations IRLS : {res['iterations']}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "ts = np.arange(N) * dt\n", + "axes[0].plot(ts, x, lw=0.8)\n", + "axes[0].axhline(mu_true, ls='--', color='gray', label=fr'$\\mu = {mu_true}$')\n", + "axes[0].set_xlabel('t'); axes[0].set_ylabel('x(t)')\n", + "axes[0].set_title(\"Trajectoire OU simulée\")\n", + "axes[0].legend()\n", + "dx = (x[1:] - x[:-1]) / dt\n", + "axes[1].scatter(x[:-1], dx, s=4, alpha=0.4, label='observations')\n", + "xs_lin = np.linspace(x.min(), x.max(), 50)\n", + "axes[1].plot(xs_lin, a_true + b_true * xs_lin, 'k--',\n", + " lw=1.5, label='vrai drift')\n", + "axes[1].plot(xs_lin, a_hat + b_hat * xs_lin, 'C3-',\n", + " lw=2, label='Huber estimé')\n", + "axes[1].set_xlabel('x'); axes[1].set_ylabel(r'$\\Delta x / \\Delta t$')\n", + "axes[1].set_title(\"Régression robuste sur le drift\")\n", + "axes[1].legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "70fbd189", + "id": "1fabf161", "metadata": {}, "source": [ - "**Verified:** Huber IRLS recovers `(a, b)` within `0.2` even with 5 % heavy outliers." + "**Résultat attendu.** $\\hat a \\approx 2.0$, $\\hat b \\approx -2.0$.\n", + "\n", + "**Lecture du graphique.** Gauche : trajectoire qui oscille autour de\n", + "$\\mu = 1$. Droite : nuage des incréments avec deux droites\n", + "superposées (vraie et estimée).\n", + "\n", + "**Conclusion.** Sur bruit gaussien, Huber se comporte comme OLS\n", + "(efficacité ~95 %).\n" + ] + }, + { + "cell_type": "markdown", + "id": "bdb6e2dc", + "metadata": {}, + "source": [ + "## Cellule 2 — Robustesse face à un bruit de Cauchy\n", + "\n", + "**Théorème (consistance de Huber sous queues lourdes).** Pour\n", + "$\\varepsilon_k \\sim \\text{Cauchy}$, OLS *diverge* (variance\n", + "infinie) tandis que Huber reste consistant.\n", + "\n", + "**Équation pivot.**\n", + "$$\\hat\\theta_\\text{Huber} \\xrightarrow{a.s.} \\theta_0,\n", + " \\qquad \\hat\\theta_\\text{OLS} \\nrightarrow \\theta_0\n", + " \\text{ (Cauchy)}.$$\n", + "\n", + "**Ce que la cellule vérifie.** On compare Huber vs OLS sur 30 jeux\n", + "synthétiques OU avec bruit de Cauchy injecté.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f01bc011", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:06:06.458599Z", + "iopub.status.busy": "2026-05-12T14:06:06.458229Z", + "iopub.status.idle": "2026-05-12T14:06:07.284751Z", + "shell.execute_reply": "2026-05-12T14:06:07.283487Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "OLS : médiane = 1.278, max = 6.83\n", + "Huber : médiane = 0.023, max = 0.19\n" + ] + }, + { + "data": { + "image/png": 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555/18MMPy2Kx5Dnfqlu3rurXr6+vv/5akuTl5SVPT0/99NNPOnbsWCFH4H8WLVokwzD02GOP2Zzb9e7dWxaLxWbmVtWqVTVy5Mjrtvn888/bnH8sXLhQ4eHhuueee2zOH3v37q3jx48XahxvJL9+c28ssGzZsnzvyA04AxJXgJMJCAhQp06d1KNHDz333HPasmWLvvrqK/Xr1y9PvcqVK9sks3JdvnzZWqcwGjZseHNBX+Ovf/BLUmBgoKQ/12zINW3aNHl7e6t9+/aqXr26HnzwQc2fP79QyZ3chEhBdQub4MrP9dad+Ks+ffooODg4z8+OHTu0Y8cOm/LcuxwVhr+/f76XQTZp0kTSn2s6XMuez+HNyh3vzMzMIu23b98+RUdHy8/PT35+fgoKClJwcLDWrVuns2fPFjueQ4cOKSAgwGZNtusp7Gs4LCxM9913nxYvXmxd/2rTpk06ceLEDU9WAQCOk5mZWeB5wUsvvaS6devqgQceUFBQkHr16qU333xTf/zxR5H7K87nc+5nfX5lRVkv6mbkJnjyu+Q/t+yv5yKF/fy8nqNHj6p+/fp5Lt/P9dcxOXjwoKQ/zyf/er4VHBys3377zfp8ubu769///rd+/fVX1atXT40aNdKIESO0cuVKmc3mAuPK7atZs2Y2/XTp0kWSbF4b9erVy5Pw+6v8XhcHDx7UiRMn8j2e3PXUivMaLKjfp556SnfeeafGjBmjgIAAde7cWVOmTMnzZR3gaKxxBTi5gIAA9e7dW2+99ZZOnDhh/eO7Zs2aOnTokK5cuWIz8+rUqVPWOoVxvQTXjZI3OTk5+Zbf6EPauGbdpRYtWujIkSPavHmzvv32W3333Xdavny5Xn31VW3btk2NGze+bju5J0y7d+++bh1J+u9//ysp73oTXl5ekq4/Gy03AZFbryAzZ85Uenp6nrK///3v1m3XCggIKFSbxWHP5/Bm5T4/f11I/kZOnTqlNm3ayMfHRy+++KIaN24sb29vubi4aNq0afrmm2/y1L/ecdnjmAr7GpakmJgYrVu3Tp999pmGDx+u9957T+7u7tYFbwEAzuPYsWM6f/58gWsm1qtXTwcOHNDWrVu1ZcsWff/99xo3bpxeeeUVrVu3Tm3bti10n4X9ErGoHPH5XpCifH7erNyZcGPGjLHekOavrj2XGzlypHr37q3169dr27Zt2rx5sz744ANFRUXpu+++u+Gd9XL7WrNmzXWvdvhr0q6g5z2/7RaLRY0aNdLcuXOvu1/u7PriPv/59Vu1alX99NNP2rFjhzZv3qzvv/9ekyZN0qRJk7Rw4UI99NBDNzoUoFSQuALKgEuXLkn6844ouYmrqKgoxcfH66effrI5gfrhhx9Ur169Qi3MfiO5+589e9ZmtsqxY8fy/UasKHLvfpd7wrFhwwZ169ZNb7zxRr53ScnVqlUrhYaG6ssvv9SZM2dUvXr1fOu98847kpRntlruiUXut2d/lVue37eG+WnevLlNWW6CqlOnToVqIz/nzp3T77//bjPrKvduRgUtqJrr2ufw2tfDpUuXlJSUpPr16xfYRmFnn+UKCwvTXXfdpR07duiXX34p1CWMK1eu1Pnz5/XFF1+oY8eOeba99NJLNvWrVq2a7yys/C4BaNiwoQ4ePKiEhITr3uGwuLp3765atWrpvffeU8+ePfXll19av6EHADiX3POCXr16FVjXzc1NnTt3tl7qtm/fPt1555169dVXrXfrK+rnY2H9+uuvatmypU2ZJOvn9rWf73+V32dhUWPNPc84cOCAWrRokWfbL7/8kqeOvdSrV09HjhzR1atXbc4xc48/17Uzhwp7vlWtWjUNHTpUQ4cOlWEYGj9+vN544w0tXbr0hl84NWzYUBs2bFBoaKj+9re/Ff6Aiqhhw4ZKTExU+/btbZY2+KuiPv8FcXFxUZs2bdSmTRtJfy4u/7e//U3PP/88iSs4BS4VBJzE9ab+njhxQl988YWqVKmS505ugwcPlmQ7q2flypU6ceKEdfvNaNSokSTZXLf/6aefKikp6abaTklJsSnLTQIVNJ3c3d1dU6ZMUVZWlvr375/vJWlz587VypUr1bFjxzx3FOzcubN8fHy0dOlS/f7773n2uXr1qvVbrvvvv7/Ix2RvU6dOzfP4v//9r77++mu1bdu20ImR6z2HM2fOLPS6HT4+PkpPTy/St6VxcXFycXHRQw89pMTExHzrrFu3TkuXLpX0v29p/9rH+vXrtXPnTpt9GzVqpPj4eJ0+fdpaZrFYbH4fJFnvejRu3Lh8Lwm4mW+BXV1dNWLECP3444+KjY1Vdna2Hn/88WK3BwAoGR999JFmzpyp2rVr68knn7xh3fzOUW699VZ5e3vnOUfJXbvqZi5nz8+0adPyfEYnJiZq4cKFqlOnjiIjIyVJvr6+Cg0N1TfffJPncywtLU0ffvihTZtFjTX3PGjq1Kl5YklNTdVbb70lf39/3XvvvUU/uAL6PHfunObNm5enfOnSpTp8+HCesjvuuEMRERH64IMP8v0y0jAM6/OYlZVlM9PeZDJZk1AFnXfmnlO/+OKL+a4BlZGRcd3lO4ri0UcfVXp6uqZMmZLv9mv/VqhTp47c3Nxszu8OHz6sVatWFanf/F7vtWrVUrVq1Qp1iSdQGphxBTiJadOmadOmTerevbvCw8NlMpl08OBBffLJJ7pw4YI+/vjjPNOYO3XqpEceeURLlixRr1691KdPHx0/flxvvvmmmjRpYr1c7WZ06tRJTZo00SuvvKLk5GQ1aNBAu3fv1urVq1W/fv2bWsDx1ltvVYsWLRQVFaWaNWvq7Nmz+vjjjyVJQ4YMKXD/YcOG6cSJE3rttdfUuHFjDRkyRA0aNFBGRoZWr16trVu3qkWLFvrss8/y7Ofv769///vfeuyxx9S0aVM99thjqlevnv744w999tlnOnDggIYNG2Yz66e0BQUFac2aNTp9+rQ6d+6sxMREvfXWW/L09NTs2bML3c4jjzyil156SSNHjtSBAwdUrVo1fffdd/rvf/9b6OTX3XffrTVr1uipp55Sq1at5Orqqo4dOyokJOS6+7Rr104LFy7U8OHD1bhxYz300ENq3ry5vLy8lJiYqLVr12rXrl16++23JUndunWTt7e3Bg8erCeffFJBQUHas2ePFi1apIiICO3fvz9P+08//bSWLFmijh07KiYmRoZh6PPPP8/3G+V+/fpp4MCBWrRokaKionT//fcrJCREx48f17Jly7Rr1y7rwqTFMWLECL3++uv65JNP1KBBA3Xo0KHYbQEAbs7evXutN+W4ePGijh8/rvXr12vfvn269dZbtWLFCvn6+t6wja5du8rX11dt27ZV7dq1lZWVpaVLl+rcuXN6+eWXrfXuvvtuSX8ueD1w4EB5enrq9ttvv+mbpfz+++/q1KmT+vbtq7Nnz2r+/Pm6dOmS5s6dm2fR9qefflovvviiunbtqr59+yolJUXvvfee6tSpY/OF6F133SUXFxdNmTJF6enp8vb2Vp06dWxmU+Xq2LGjBg8erIULF6pDhw7q27evLly4oPfff1/Jycn65JNPirzofEHGjRunJUuWaOzYsdq3b5/uuusu/frrr/rwww9tzgVMJpM+/fRTdezYUX/72980dOhQRUREKDs72/ql75AhQzRx4kQdOnRIbdu2VXR0tG677TYFBwfr2LFjmj9/vnx9fQv8svLOO+/U5MmT9fLLL+v222/XI488opo1ayo5OVn79+/Xl19+qV9//bXQa2lezzPPPKMtW7Zo4sSJ2rZtm7p06aKqVasqMTFRO3bs0LFjx6yzqXx8fDR8+HC98847euihh9SxY0edPHlS8+fPV9OmTfP90u96Hn/8cZ08eVJdunRReHi4cnJytGbNGh04cEBPPfXUTR0TYDeOuZkhgL/atGmT0a9fPyM8PNyoXLmy4e7uboSFhRkDBgwwfvrpp3z3uXr1qjF16lSjQYMGhru7u1G9enXj8ccfN1JSUgrdryRjyJAh191+5MgRo3v37oa3t7fh6+trdO/e3Th48KDRrl07IywsLE/dsLAwo127djZt5Heb5WnTphnt2rUzQkJCDDc3N6N69erGfffdZ2zcuLHQsRuGYezYscN4+OGHjZo1axpubm6Gv7+/0aZNG2PevHk3vI31d999Z/Tp08cICQkxKlWqZFSpUsW45557jA8//NDmNsFF1a5du3zHoSj7h4WFGcePHzfuv/9+o0qVKkblypWNjh07Grt27cpT90a3w861a9cuo23btoanp6cREBBgPPzww8bp06fzfb7yK7t48aIxfPhwIyQkxHBxcbnu7bTzc/z4ceO5554zbrvtNsPb29twc3MzatWqZfTv39/46quv8tTdvn270bZtW8PPz8/w9fU1OnbsaGzfvj3fW4YbhmEsWrTIuPXWWw03NzfjlltuMV588UUjPj4+3/GwWCzGO++8Y9x1111G5cqVDW9vb6Nx48bGs88+a1y5cqXAsbzRbcQN489bp0syZsyYUahxAQDY17fffmtIsv6YTCbD19fXaNCggfHggw8aixYtMi5fvmyzX37v/e+9957RtWtXIzQ01HB3dzeCg4ONtm3bGp999pnN/tOnTzfq1KljVKpUKU87BX1u5PfZlluWmppqDB061AgKCjI8PDyMFi1aGF9//bVNGzk5Ocb48eONGjVqGO7u7sZtt91mLFiw4Lp9f/TRR9bPzWvP/673+Wc2m43Zs2cbERERhoeHh+Hj42N06NAh31iKcg54I7///rsxaNAgIyAgwPDy8jJatWplfPPNN9c9F0hMTDSefPJJo27duoa7u7vh7+9vREREGM8884xx4MABwzAMIzU11XjuueeMyMhIIyAgwPDw8DDCwsKMoUOHGgcPHixUXIZhGBs2bDC6d+9uBAYGGm5ubkaNGjWMDh06GDNnzjQuXbpU4FgYRv7P+7VycnKMefPmGS1atDB8fHwMT09PIzw83Lj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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(123)\n", + "theta_true, mu_true = 2.0, 1.0\n", + "sigma_cauchy = 0.05\n", + "N = 1000; dt = 0.01\n", + "n_runs = 30\n", + "a_true, b_true = theta_true * mu_true, -theta_true\n", + "\n", + "ols_errs, huber_errs = [], []\n", + "for _ in range(n_runs):\n", + " x = np.zeros(N); x[0] = 0.5\n", + " for k in range(N - 1):\n", + " eps = rng.standard_cauchy() * sigma_cauchy\n", + " x[k + 1] = x[k] + theta_true * (mu_true - x[k]) * dt + eps * np.sqrt(dt)\n", + " Xmat = np.column_stack([np.ones(N - 1), x[:-1]])\n", + " yvec = (x[1:] - x[:-1]) / dt\n", + " th_ols, *_ = np.linalg.lstsq(Xmat, yvec, rcond=None)\n", + " r = opt.robust_drift(x.tolist(), dt, huber_delta=1.345)\n", + " th_h = np.array([r['a'], r['b']])\n", + " ols_errs.append(np.linalg.norm(th_ols - np.array([a_true, b_true])))\n", + " huber_errs.append(np.linalg.norm(th_h - np.array([a_true, b_true])))\n", + "\n", + "ols_errs = np.array(ols_errs); huber_errs = np.array(huber_errs)\n", + "print(f\"OLS : médiane = {np.median(ols_errs):.3f}, max = {ols_errs.max():.2f}\")\n", + "print(f\"Huber : médiane = {np.median(huber_errs):.3f}, max = {huber_errs.max():.2f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", + "axes[0].boxplot([ols_errs, huber_errs], labels=['OLS', 'Huber'])\n", + "axes[0].set_ylabel(r'$\\|\\hat\\theta - \\theta_0\\|$')\n", + "axes[0].set_yscale('log')\n", + "axes[0].set_title(f\"{n_runs} runs OU + bruit Cauchy\")\n", + "axes[1].hist(np.clip(ols_errs, 0, 10), bins=20,\n", + " alpha=0.5, label='OLS', color='C3')\n", + "axes[1].hist(huber_errs, bins=20, alpha=0.7, label='Huber', color='C0')\n", + "axes[1].set_xlabel(r'$\\|\\hat\\theta - \\theta_0\\|$')\n", + "axes[1].set_ylabel('fréquence')\n", + "axes[1].set_title(\"Distribution des erreurs\")\n", + "axes[1].legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "276c9e2d", + "metadata": {}, + "source": [ + "**Résultat attendu.** Huber médiane bien inférieure à OLS médiane.\n", + "\n", + "**Lecture du graphique.** Gauche : boxplots log, Huber serré.\n", + "Droite : histogramme — OLS dispersé, Huber concentré près de $0$.\n", + "\n", + "**Conclusion.** L'estimateur robuste est indispensable dès que les\n", + "queues s'éloignent du gaussien (mesures expérimentales bruitées,\n", + "signaux de capteurs aberrants).\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/examples/notebooks/17_generative_calibration.ipynb b/examples/notebooks/17_generative_calibration.ipynb index 918a10e..fbe7bd0 100644 --- a/examples/notebooks/17_generative_calibration.ipynb +++ b/examples/notebooks/17_generative_calibration.ipynb @@ -2,22 +2,24 @@ "cells": [ { "cell_type": "markdown", - "id": "cb7dea7c", + "id": "e60ddaef", "metadata": {}, "source": [ - "# 17 — MMD calibration loss" + "# 17 — Generative calibration hooks (MMD)\n", + "\n", + "Doc page: [generative_calibration_hooks.rst](../../docs/source/algorithms/generative_calibration_hooks.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, - "id": "8d6df02a", + "id": "d98275e1", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:23.357071Z", - "iopub.status.busy": "2026-05-12T10:16:23.356796Z", - "iopub.status.idle": "2026-05-12T10:16:24.029739Z", - "shell.execute_reply": "2026-05-12T10:16:24.028259Z" + "iopub.execute_input": "2026-05-12T14:06:13.541866Z", + "iopub.status.busy": "2026-05-12T14:06:13.541279Z", + "iopub.status.idle": "2026-05-12T14:06:14.135078Z", + "shell.execute_reply": "2026-05-12T14:06:14.133758Z" } }, "outputs": [], @@ -25,20 +27,44 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", - "plt.rcParams['figure.figsize'] = (7, 4)\n", - "plt.rcParams['figure.dpi'] = 110\n" + "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", + "plt.rcParams['figure.dpi'] = 110\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.alpha'] = 0.3\n" + ] + }, + { + "cell_type": "markdown", + "id": "759b0068", + "metadata": {}, + "source": [ + "## Cellule 1 — MMD nulle entre échantillons identiques\n", + "\n", + "**Théorème (Gretton et al. 2012).** Pour le noyau gaussien\n", + "$k(x, y) = \\exp(-(x-y)^2 / 2\\sigma^2)$, la MMD au carré empirique\n", + "entre $X = (x_i)$ et $Y = (y_j)$ est\n", + "$$\\widehat{\\text{MMD}}^2(X, Y) = \\frac{1}{m^2}\\sum_{ij} k(x_i, x_j)\n", + " + \\frac{1}{n^2}\\sum_{ij} k(y_i, y_j)\n", + " - \\frac{2}{mn}\\sum_{ij} k(x_i, y_j).$$\n", + "\n", + "**Équation pivot.** $X = Y \\Rightarrow \\widehat{\\text{MMD}}^2 = 0$.\n", + "\n", + "**Démonstration.** Les trois sommes coïncident terme à terme. $\\square$\n", + "\n", + "**Ce que la cellule vérifie.** `mmd_gaussian(X, X, sigma)` retourne $0$\n", + "à précision machine.\n" ] }, { "cell_type": "code", "execution_count": 2, - "id": "b8b76095", + "id": "c399ff2b", "metadata": { "execution": { - "iopub.execute_input": "2026-05-12T10:16:24.040309Z", - "iopub.status.busy": "2026-05-12T10:16:24.039241Z", - "iopub.status.idle": "2026-05-12T10:16:24.058710Z", - "shell.execute_reply": "2026-05-12T10:16:24.057343Z" + "iopub.execute_input": "2026-05-12T14:06:14.138451Z", + "iopub.status.busy": "2026-05-12T14:06:14.138012Z", + "iopub.status.idle": "2026-05-12T14:06:14.557121Z", + "shell.execute_reply": "2026-05-12T14:06:14.555618Z" } }, "outputs": [ @@ -46,37 +72,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "MMD self = 0.0\n", - "MMD at shift 6.0 = 0.9032217374045481\n" + "MMD(X, X) = 0.000e+00 (attendu : 0)\n" ] - } - ], - "source": [ - "x = np.linspace(0.0, 5.0, 80)\n", - "shifts = np.linspace(0.0, 6.0, 40)\n", - "d = [opt.mmd_gaussian(x.tolist(), (x + s).tolist(), 1.0) for s in shifts]\n", - "print('MMD self =', d[0])\n", - "print('MMD at shift 6.0 =', d[-1])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e3457ca1", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:24.061731Z", - "iopub.status.busy": "2026-05-12T10:16:24.061447Z", - "iopub.status.idle": "2026-05-12T10:16:24.329477Z", - "shell.execute_reply": "2026-05-12T10:16:24.328075Z" - } - }, - "outputs": [ + }, { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -84,69 +87,247 @@ } ], "source": [ + "rng = np.random.default_rng(0)\n", + "X = rng.standard_normal(200).tolist()\n", + "m = float(opt.mmd_gaussian(X, X, sigma=1.0))\n", + "print(f\"MMD(X, X) = {m:.3e} (attendu : 0)\")\n", + "\n", "fig, ax = plt.subplots()\n", - "ax.plot(shifts, d, lw=2)\n", - "ax.set_xlabel('translation Δ'); ax.set_ylabel('MMD(P, P + Δ)')\n", - "ax.set_title('Gaussian-kernel MMD vs translation (σ = 1)')\n", - "ax.grid(alpha=0.3); fig.tight_layout(); plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "id": "4861ad77", - "metadata": {}, - "source": [ - "## Bandwidth dependence" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7f3b6484", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-12T10:16:24.336277Z", - "iopub.status.busy": "2026-05-12T10:16:24.335914Z", - "iopub.status.idle": "2026-05-12T10:16:24.819175Z", - "shell.execute_reply": "2026-05-12T10:16:24.817306Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "for sigma in [0.25, 0.5, 1.0, 2.0]:\n", - " d = [opt.mmd_gaussian(x.tolist(), (x + s).tolist(), sigma) for s in shifts]\n", - " ax.plot(shifts, d, label=f'σ = {sigma:g}')\n", - "ax.set_xlabel('translation Δ'); ax.set_ylabel('MMD'); ax.legend(); ax.grid(alpha=0.3)\n", - "ax.set_title('MMD as a function of kernel bandwidth')\n", + "ax.hist(X, bins=30, density=True, color='C0',\n", + " edgecolor='white', alpha=0.85)\n", + "ax.set_title(r'Échantillon $X = Y$')\n", + "ax.set_xlabel('x'); ax.set_ylabel('densité')\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", - "id": "fd37ad48", + "id": "01f32911", "metadata": {}, "source": [ - "**Verified:** `MMD(x, x) = 0`; metric is strictly monotonic in shift." + "**Résultat attendu.** $\\sim 0$.\n", + "\n", + "**Lecture du graphique.** Histogramme gaussien standard.\n", + "\n", + "**Conclusion.** L'auto-MMD nulle est validée.\n" + ] + }, + { + "cell_type": "markdown", + "id": "6bb48f55", + "metadata": {}, + "source": [ + "## Cellule 2 — MMD entre gaussienne et Laplace\n", + "\n", + "**Théorème.** Deux distributions de moyenne et variance identiques\n", + "mais formes différentes ont une MMD strictement positive.\n", + "\n", + "**Équation pivot.**\n", + "$$\\text{MMD}^2(\\mathcal{N}(0, 1), \\text{Laplace}(0, 1/\\sqrt{2})) > 0.$$\n", + "\n", + "**Ce que la cellule vérifie.** Sweep en $\\sigma$ : la MMD est\n", + "maximale autour de $\\sigma$ commensurable à l'échelle des\n", + "distributions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a73d2bf4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:06:14.560906Z", + "iopub.status.busy": "2026-05-12T14:06:14.560549Z", + "iopub.status.idle": "2026-05-12T14:06:15.607504Z", + "shell.execute_reply": "2026-05-12T14:06:15.606471Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MMD min : 1.182e-02, MMD max : 1.603e-01\n", + "σ optimal : 0.38\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(2)\n", + "n = 500\n", + "X = rng.standard_normal(n).tolist() # N(0, 1)\n", + "Y = rng.laplace(0.0, 1.0 / np.sqrt(2.0), n).tolist() # même variance\n", + "\n", + "sigmas = np.geomspace(0.1, 10.0, 25)\n", + "mmds = [float(opt.mmd_gaussian(X, Y, sigma=s)) for s in sigmas]\n", + "print(f\"MMD min : {min(mmds):.3e}, MMD max : {max(mmds):.3e}\")\n", + "print(f\"σ optimal : {sigmas[int(np.argmax(mmds))]:.2f}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "xs = np.linspace(-5, 5, 400)\n", + "axes[0].hist(X, bins=40, density=True, alpha=0.5,\n", + " label=r'$\\mathcal{N}(0,1)$', color='C0')\n", + "axes[0].hist(Y, bins=40, density=True, alpha=0.5,\n", + " label='Laplace', color='C3')\n", + "axes[0].plot(xs, np.exp(-xs**2/2)/np.sqrt(2*np.pi),\n", + " 'C0--', lw=1.5)\n", + "axes[0].plot(xs, np.exp(-np.abs(xs)*np.sqrt(2))*np.sqrt(2)/2,\n", + " 'C3--', lw=1.5)\n", + "axes[0].set_xlabel('x'); axes[0].set_ylabel('densité')\n", + "axes[0].set_title(\"Densités comparées\"); axes[0].legend()\n", + "axes[1].semilogx(sigmas, mmds, 'o-', lw=2, color='C2')\n", + "axes[1].set_xlabel(r'bandwidth $\\sigma$')\n", + "axes[1].set_ylabel(r'$\\widehat{\\text{MMD}}^2$')\n", + "axes[1].set_title(\"Sensibilité à la bandwidth\")\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "d6403c0a", + "metadata": {}, + "source": [ + "**Résultat attendu.** MMD strictement positive, courbe en cloche.\n", + "\n", + "**Lecture du graphique.** Gauche : la Laplace est plus pointue ;\n", + "droite : MMD maximale lorsque $\\sigma \\sim 1$.\n", + "\n", + "**Conclusion.** Le choix de bandwidth est crucial ; règle pratique :\n", + "$\\sigma \\approx \\text{médiane des distances}$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "cdf034d4", + "metadata": {}, + "source": [ + "## Cellule 3 — Exemple concret : MMD entre mélange et gaussienne\n", + "\n", + "**Modèle.** $P = \\mathcal{N}(0, 1)$ vs\n", + "$Q_\\mu = \\frac{1}{2}\\mathcal{N}(-\\mu, 1) + \\frac{1}{2}\\mathcal{N}(+\\mu, 1)$.\n", + "La MMD doit *croître* avec $\\mu$.\n", + "\n", + "**Équation pivot.**\n", + "$$\\text{MMD}^2(P, Q_\\mu) \\xrightarrow[\\mu \\to 0]{} 0,\n", + " \\qquad \\nearrow \\text{ en } \\mu.$$\n", + "\n", + "**Ce que la cellule vérifie.** Pour $\\mu \\in [0, 2.5]$, la courbe\n", + "MMD est croissante.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "45b8aa9b", + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-12T14:06:15.610838Z", + "iopub.status.busy": "2026-05-12T14:06:15.610566Z", + "iopub.status.idle": "2026-05-12T14:06:16.202731Z", + "shell.execute_reply": "2026-05-12T14:06:16.201441Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "μ = 0.00 -> MMD² = 8.317e-02\n", + "μ = 0.25 -> MMD² = 3.606e-02\n", + "μ = 0.50 -> MMD² = 9.864e-02\n", + "μ = 0.75 -> MMD² = 1.881e-01\n", + "μ = 1.00 -> MMD² = 2.075e-01\n", + "μ = 1.25 -> MMD² = 3.452e-01\n", + "μ = 1.50 -> MMD² = 3.628e-01\n", + "μ = 1.75 -> MMD² = 4.763e-01\n", + "μ = 2.00 -> MMD² = 5.565e-01\n", + "μ = 2.25 -> MMD² = 6.350e-01\n", + "μ = 2.50 -> MMD² = 6.936e-01\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(11)\n", + "n = 400\n", + "P = rng.standard_normal(n).tolist()\n", + "mus = np.linspace(0.0, 2.5, 11)\n", + "\n", + "mmd_vals = []\n", + "for mu in mus:\n", + " half = n // 2\n", + " Q = np.concatenate([\n", + " rng.standard_normal(half) - mu,\n", + " rng.standard_normal(n - half) + mu,\n", + " ]).tolist()\n", + " mmd_vals.append(float(opt.mmd_gaussian(P, Q, sigma=1.0)))\n", + "\n", + "for mu, m in zip(mus, mmd_vals):\n", + " print(f\"μ = {mu:.2f} -> MMD² = {m:.3e}\")\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "axes[0].plot(mus, mmd_vals, 'o-', lw=2, color='C2')\n", + "axes[0].set_xlabel(r'séparation $\\mu$')\n", + "axes[0].set_ylabel(r'$\\widehat{\\text{MMD}}^2$')\n", + "axes[0].set_title(\"MMD croissante avec la séparation\")\n", + "\n", + "mu_show = mus[-1]\n", + "half = n // 2\n", + "Q_show = np.concatenate([\n", + " rng.standard_normal(half) - mu_show,\n", + " rng.standard_normal(n - half) + mu_show,\n", + "])\n", + "axes[1].hist(P, bins=30, density=True, alpha=0.5,\n", + " label=r'P = $\\mathcal{N}(0,1)$', color='C0')\n", + "axes[1].hist(Q_show, bins=30, density=True, alpha=0.5,\n", + " label=fr'Q (μ = {mu_show:.1f})', color='C3')\n", + "axes[1].set_xlabel('x'); axes[1].set_ylabel('densité')\n", + "axes[1].set_title(\"P vs Q (mélange séparé)\")\n", + "axes[1].legend()\n", + "fig.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "d3d9b723", + "metadata": {}, + "source": [ + "**Résultat attendu.** MMD croît monotone en $\\mu$.\n", + "\n", + "**Lecture du graphique.** Gauche : courbe croissante. Droite : la\n", + "gaussienne unique vs le mélange bimodal sont visuellement\n", + "distincts à $\\mu = 2.5$.\n", + "\n", + "**Conclusion.** MMD avec noyau gaussien est un détecteur efficace de\n", + "différence distributionnelle, applicable à la calibration de modèles\n", + "génératifs (GAN, normalizing flows) en boucle d'apprentissage.\n" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (rhftlab)", + "display_name": "rhftlab", "language": "python", - "name": "python3" + "name": "rhftlab" }, "language_info": { "codemirror_mode": { diff --git a/scripts/enrich_v2_notebooks.py b/scripts/enrich_v2_notebooks.py new file mode 100644 index 0000000..6eebf2b --- /dev/null +++ b/scripts/enrich_v2_notebooks.py @@ -0,0 +1,1273 @@ +"""Regenerate the eight v2.0 companion notebooks with the mandatory +pedagogical sandwich structure (PRE-markdown -> code -> POST-markdown) +and an additional real-world / concrete example per notebook. + +Each notebook is then executed end-to-end with the rhftlab kernel so the +committed .ipynb carries figures and prints as proof of work. +""" +from __future__ import annotations + +import json +import subprocess +from pathlib import Path + +NB_DIR = Path(__file__).resolve().parents[1] / "examples" / "notebooks" + + +def md(src: str) -> dict: + return { + "cell_type": "markdown", + "metadata": {}, + "source": src.splitlines(keepends=True), + } + + +def code(src: str) -> dict: + return { + "cell_type": "code", + "execution_count": None, + "metadata": {}, + "outputs": [], + "source": src.splitlines(keepends=True), + } + + +PREAMBLE = """import numpy as np +import matplotlib.pyplot as plt +from optimizr import _core as opt +plt.rcParams['figure.figsize'] = (8.5, 4.5) +plt.rcParams['figure.dpi'] = 110 +plt.rcParams['axes.grid'] = True +plt.rcParams['grid.alpha'] = 0.3 +""" + + +def write_notebook(name: str, title_md: str, cells: list[dict]) -> Path: + nb = { + "cells": [md(title_md), code(PREAMBLE)] + cells, + "metadata": { + "kernelspec": { + "display_name": "rhftlab", + "language": "python", + "name": "rhftlab", + }, + "language_info": {"name": "python", "version": "3.11"}, + }, + "nbformat": 4, + "nbformat_minor": 5, + } + path = NB_DIR / name + path.write_text(json.dumps(nb, indent=1)) + return path + + +# --------------------------------------------------------------------------- +# 10 — BSDE +# --------------------------------------------------------------------------- +NB10_TITLE = """# 10 — BSDE θ-scheme (linear, constant coefficients) + +CPU-only Crank–Nicolson scheme for linear backward stochastic +differential equations. Doc page: +[bsde.rst](../../docs/source/algorithms/bsde.rst). + +Each computational cell is sandwiched between a *PRE* markdown +(theoretical reminder) and a *POST* markdown (expected result and +graph reading). +""" + +NB10_CELLS = [ + md("""## Cellule 1 — Vérification du schéma θ contre la solution analytique + +**Théorème (Pardoux-Peng 1990) — BSDE linéaire à coefficients constants.** +Pour $a$, $b$, $c$ déterministes constants et terminal $\\xi$, la +solution déterministe (lorsque $b = c = 0$) de +$$-dY_t = (a Y_t)\\,dt - Z_t\\,dW_t,\\qquad Y_T = \\xi$$ +est $Y_t = \\xi e^{a(T-t)}$. + +**Équation pivot.** +$$Y_t = \\xi\\,e^{a(T-t)}.$$ + +**Démonstration (esquisse).** En l'absence de bruit ($b = 0$) et de +forçage ($c = 0$), l'EDS rétrograde devient l'EDO $\\dot Y = -aY$ +intégrée en $Y_t = \\xi e^{a(T-t)}$. $\\square$ + +**Ce que la cellule vérifie.** Le schéma $\\theta = 0.5$ (Crank–Nicolson) +reproduit la décroissance exponentielle pour $a = -0.3$, $T = 1$. +"""), + code("""rho, T, n = 0.3, 1.0, 200 +res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5) +tg = np.array(res['time_grid']) +yg = np.array(res['y']) +analytic = np.exp(-rho * (T - tg)) +err = float(np.max(np.abs(yg - analytic))) +print(f\"Y0 numérique = {yg[0]:.6f}\") +print(f\"Y0 analytique = {analytic[0]:.6f}\") +print(f\"Erreur max sur la grille : {err:.2e}\") + +fig, ax = plt.subplots() +ax.plot(tg, yg, lw=2, label='θ-scheme') +ax.plot(tg, analytic, '--', lw=1.5, label=r'$\\xi e^{-\\rho(T-t)}$') +ax.set_xlabel('t'); ax.set_ylabel(r'$Y_t$') +ax.set_title(\"BSDE linéaire — Crank–Nicolson vs analytique\") +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $Y_0 \\approx 0.7408$, erreur max $< 10^{-3}$. + +**Lecture du graphique.** Les deux courbes se superposent visuellement. + +**Conclusion.** Le primitive `linear_bsde_constant_coeffs` est calibré +sur le test analytique exponentiel ; il est utilisé comme brique pour +les BSDE non-linéaires (cellule 3). +"""), + md("""## Cellule 2 — Étude de convergence en $\\Delta t$ + +**Théorème (Crank–Nicolson, ordre 2).** Pour une EDO linéaire +$\\dot y = -a y$, le schéma $\\theta = 1/2$ vérifie +$|y_n - y(t_n)| = O(\\Delta t^2)$. + +**Équation pivot.** +$$\\log\\,\\text{erreur}(n) \\;\\approx\\; -2\\log n + C.$$ + +**Ce que la cellule vérifie.** On trace $|Y_0^{(n)} - e^{-\\rho T}|$ +en log-log et on compare à la pente $-2$. +"""), + code("""ns = [25, 50, 100, 200, 400, 800] +errs = [] +for n in ns: + r = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5) + errs.append(abs(r['y'][0] - np.exp(-rho * T))) +for n, e in zip(ns, errs): + print(f\"n = {n:4d} -> erreur = {e:.3e}\") + +fig, ax = plt.subplots() +ax.loglog(ns, errs, 'o-', lw=2, label='erreur empirique') +ax.loglog(ns, [errs[0] * (ns[0] / n) ** 2 for n in ns], ':', + label=r'pente $-2$ (référence)') +ax.set_xlabel('n_steps'); ax.set_ylabel(r'$|Y_0 - e^{-\\rho T}|$') +ax.set_title(\"Convergence de Crank–Nicolson\") +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Les points s'alignent sur la pente $-2$. + +**Lecture du graphique.** Parallélisme avec la droite pointillée. + +**Conclusion.** Précision $10^{-6}$ atteinte avec $n \\approx 800$. +"""), + md("""## Cellule 3 — Exemple concret : actualisation d'une espérance terminale + +**Modèle utilisé.** Pour un brownien $W_t$, la valeur actualisée +$$Y_t = \\mathbb{E}\\!\\left[e^{-\\rho(T-t)}\\,W_T^2\\,\\big|\\,\\mathcal{F}_t\\right]$$ +satisfait l'EDP de Feynman–Kac +$\\partial_t u + \\tfrac{1}{2}\\partial_{xx} u - \\rho u = 0$, +$u(T, x) = x^2$. + +**Équation pivot (cas déterministe).** $\\mathbb{E}[W_T^2] = T$, donc +$$Y_0 = e^{-\\rho T}\\,T.$$ + +**Ce que la cellule vérifie.** On compare le primitive `linear_bsde` +(avec terminal $\\xi = T$ — espérance déterministe de $W_T^2$) à une +simulation Monte Carlo de $10^4$ trajectoires. +"""), + code("""rng = np.random.default_rng(0) +M = 10_000 +W_T = rng.standard_normal(M) * np.sqrt(T) +mc_value = np.exp(-rho * T) * float(np.mean(W_T ** 2)) + +# valeur déterministe via le primitive (xi = E[W_T^2] = T) +res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, T, n, T, 0.5) +y0_pde = float(res['y'][0]) + +print(f\"Monte Carlo (M={M}) : Y0 = {mc_value:.6f}\") +print(f\"BSDE primitive : Y0 = {y0_pde:.6f}\") +print(f\"Écart relatif : {abs(y0_pde - mc_value)/mc_value:.2%}\") + +ts = np.linspace(0, T, 50) +paths = np.cumsum(rng.standard_normal((20, len(ts))) * + np.sqrt(T / len(ts)), axis=1) +fig, axes = plt.subplots(1, 2, figsize=(11, 4)) +for p in paths: + axes[0].plot(ts, p, alpha=0.5) +axes[0].set_title(\"20 trajectoires browniennes\") +axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$W_t$') + +tg = np.array(res['time_grid']) +yg = np.array(res['y']) +axes[1].plot(tg, yg, lw=2, color='C3', label='BSDE') +axes[1].axhline(mc_value, ls='--', color='C0', + label=f'Monte Carlo Y0 = {mc_value:.3f}') +axes[1].set_title(\"Valeur actualisée déterministe\") +axes[1].set_xlabel('t'); axes[1].set_ylabel(r'$Y_t$') +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $Y_0 = T \\cdot e^{-\\rho T} \\approx 0.7408$, +estimateur Monte Carlo à moins de 3 %. + +**Lecture du graphique.** Faisceau brownien à gauche ; valeur actualisée +et niveau Monte Carlo à droite — ils coïncident. + +**Conclusion.** La primitive BSDE évite la simulation Monte Carlo +quand le terminal est une fonctionnelle simple du brownien. +"""), +] + + +# --------------------------------------------------------------------------- +# 11 — PDE +# --------------------------------------------------------------------------- +NB11_TITLE = """# 11 — PDE solvers (Fokker–Planck, Poisson) + +CPU-only finite-difference solvers. Doc page: +[pde.rst](../../docs/source/algorithms/pde.rst). +""" + +NB11_CELLS = [ + md("""## Cellule 1 — Diffusion d'une gaussienne (Fokker–Planck 1-D) + +**Théorème (Fokker–Planck / Kolmogorov forward).** Pour la diffusion +$dX_t = \\mu\\,dt + \\sigma\\,dW_t$, la densité $p(t, x)$ vérifie +$$\\partial_t p = -\\mu\\,\\partial_x p + \\tfrac{1}{2}\\sigma^2\\,\\partial_{xx} p.$$ + +**Équation pivot (densité gaussienne).** +$$p(t, x) = \\frac{1}{\\sqrt{2\\pi(\\sigma^2 t + s_0^2)}} + \\exp\\!\\left(-\\frac{(x-\\mu t)^2}{2(\\sigma^2 t + s_0^2)}\\right).$$ + +**Ce que la cellule vérifie.** Le primitive +`fokker_planck_constant(mu, sigma_sq, init_sigma, ...)` reproduit la +gaussienne analytique pour $\\mu = 0.1$, $\\sigma^2 = 0.16$, +$s_0 = 0.2$, $T = 1$. +"""), + code("""mu, sigma_sq, init_sigma = 0.1, 0.16, 0.2 +T, n_t = 1.0, 200 +n_x = 201 +res = opt.fokker_planck_constant(mu, sigma_sq, init_sigma, + -3.0, 3.0, n_x, T, n_t) +xs = np.array(res['x_grid']) +ts = np.array(res['time_grid']) +density = np.array(res['density']).reshape(n_t + 1, n_x) +p_final = density[-1] + +# ground truth gaussienne +sig_eff = np.sqrt(sigma_sq * T + init_sigma ** 2) +analytic = np.exp(-(xs - mu * T) ** 2 / (2 * sig_eff ** 2)) +analytic /= np.trapezoid(analytic, xs) + +err = float(np.max(np.abs(p_final - analytic))) +mass = float(np.trapezoid(p_final, xs)) +print(f\"Erreur sup |p_num - p_ana| = {err:.3e}\") +print(f\"Masse finale (≈ 1) = {mass:.4f}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +axes[0].plot(xs, density[0], ':', label='p(0, x)', alpha=0.6) +axes[0].plot(xs, p_final, lw=2, label=f'p({T}, x) — schéma') +axes[0].plot(xs, analytic, '--', lw=1.5, label='gaussienne analytique') +axes[0].set_xlabel('x'); axes[0].set_ylabel('densité') +axes[0].set_title(\"Coupes initiale / finale\") +axes[0].legend() +im = axes[1].imshow(density.T, aspect='auto', origin='lower', + extent=[0, T, xs.min(), xs.max()], + cmap='inferno') +axes[1].set_xlabel('t'); axes[1].set_ylabel('x') +axes[1].set_title(\"Évolution spatio-temporelle\") +plt.colorbar(im, ax=axes[1], label='p(t, x)') +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Erreur sup faible et masse $\\approx 1$. + +**Lecture du graphique.** Gauche : pic initial fin (pointillé) qui +s'étale en gaussienne décalée vers la droite (drift $\\mu T = 0.1$). +Droite : carte chaleur de $p(t, x)$, qui s'élargit dans le temps. + +**Conclusion.** Le solveur Fokker–Planck est validé sur le cas +gaussien. +"""), + md("""## Cellule 2 — Poisson 2D sur un carré (équation harmonique) + +**Théorème (Poisson Dirichlet).** Pour $f$ régulière et conditions +nulles sur $\\partial\\Omega = [0,1]^2$, $-\\Delta u = f$ admet une +unique solution dans $H^1_0$. + +**Équation pivot.** Si $f = 2\\pi^2 \\sin(\\pi x)\\sin(\\pi y)$ alors +$$u(x, y) = \\sin(\\pi x)\\sin(\\pi y).$$ + +**Démonstration.** Calcul direct : $-\\Delta u = 2\\pi^2 \\sin(\\pi x) +\\sin(\\pi y) = f$. $\\square$ + +**Ce que la cellule vérifie.** Le solveur SOR `poisson_2d_zero_boundary` +résout l'équation et l'erreur tend vers zéro. +"""), + code("""nx_grid = 41 +xs = ys = np.linspace(0, 1, nx_grid) +X, Y = np.meshgrid(xs, ys, indexing='ij') +f = 2 * np.pi ** 2 * np.sin(np.pi * X) * np.sin(np.pi * Y) +res = opt.poisson_2d_zero_boundary( + f.flatten().tolist(), nx_grid, nx_grid, + 0.0, 1.0, 0.0, 1.0, +) +u = np.array(res['u']).reshape(nx_grid, nx_grid) + +u_exact = np.sin(np.pi * X) * np.sin(np.pi * Y) +err = float(np.max(np.abs(u - u_exact))) +print(f\"Itérations SOR : {res['iterations']}\") +print(f\"Résidu final : {res['residual']:.3e}\") +print(f\"Erreur sup : {err:.3e}\") + +fig, axes = plt.subplots(1, 2, figsize=(11, 4)) +im0 = axes[0].imshow(u, origin='lower', extent=[0, 1, 0, 1], cmap='viridis') +axes[0].set_title('u numérique'); plt.colorbar(im0, ax=axes[0]) +im1 = axes[1].imshow(u - u_exact, origin='lower', + extent=[0, 1, 0, 1], cmap='RdBu_r') +axes[1].set_title('erreur signée'); plt.colorbar(im1, ax=axes[1]) +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Erreur sup faible (< $10^{-2}$) ; résidu +SOR petit. + +**Lecture du graphique.** Cloche centrée à hauteur $1$ ; +carte d'erreur quasi nulle, symétrique autour de zéro. + +**Conclusion.** Le solveur elliptique est validé. +"""), + md("""## Cellule 3 — Exemple concret : diffusion thermique sur une plaque + +**Modèle physique.** Plaque carrée $[0,1]^2$ chauffée par une source +gaussienne au centre, conditions de Dirichlet nulles sur le bord. +Équilibre régi par +$$-\\Delta u = q(x, y),\\qquad u\\big|_{\\partial\\Omega} = 0.$$ + +**Ce que la cellule vérifie.** Profil radial décroissant de température +sous source ponctuelle. +"""), + code("""nx_grid = 81 +xs = ys = np.linspace(0, 1, nx_grid) +X, Y = np.meshgrid(xs, ys, indexing='ij') +q = 50.0 * np.exp(-((X - 0.5) ** 2 + (Y - 0.5) ** 2) / (2 * 0.05 ** 2)) +res = opt.poisson_2d_zero_boundary( + q.flatten().tolist(), nx_grid, nx_grid, + 0.0, 1.0, 0.0, 1.0, +) +u = np.array(res['u']).reshape(nx_grid, nx_grid) + +print(f\"Température max au centre : {u.max():.3f}\") +print(f\"Température max au bord : {u[0, :].max():.2e}\") +print(f\"Itérations SOR : {res['iterations']}\") + +fig, ax = plt.subplots(figsize=(6, 5)) +im = ax.imshow(u, origin='lower', extent=[0, 1, 0, 1], + cmap='inferno', interpolation='bilinear') +ax.contour(X, Y, u, levels=8, colors='white', linewidths=0.5, alpha=0.6) +ax.set_title(\"Plaque chauffée par une source ponctuelle (équilibre)\") +ax.set_xlabel('x'); ax.set_ylabel('y') +plt.colorbar(im, ax=ax, label='température') +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Température décroissante du centre vers le +bord (Dirichlet), profil radial visible. + +**Lecture du graphique.** Iso-températures (lignes blanches) circulaires +autour de la source ; température nulle sur les bords. + +**Conclusion.** Le même solveur Poisson 2D résout des problèmes +mathématiques académiques *et* des problèmes physiques concrets +(transfert thermique, électrostatique). +"""), +] + + +# --------------------------------------------------------------------------- +# 12 — Stochastic control (Pontryagin LQR) +# --------------------------------------------------------------------------- +NB12_TITLE = """# 12 — Stochastic control (Pontryagin LQR) + +Doc page: [stochastic_control.rst](../../docs/source/algorithms/stochastic_control.rst). +""" + +NB12_CELLS = [ + md("""## Cellule 1 — LQR scalaire et équation de Riccati + +**Théorème (Kalman, LQR).** Pour le système $\\dot x = ax + bu$ et le +coût +$$J = \\int_0^T (q x^2 + r u^2)\\,dt + s\\,x(T)^2,$$ +le contrôle optimal est $u^*(t) = -(b/r)\\,P(t)\\,x(t)$ où $P(t)$ +satisfait la Riccati rétrograde +$$-\\dot P = 2aP - (b^2/r) P^2 + q,\\qquad P(T) = s.$$ + +**Équation pivot (cas $a = b = q = r = 1$).** Le point fixe +stationnaire est $P^* = 1 + \\sqrt{2} \\approx 2.414$. + +**Ce que la cellule vérifie.** Le primitive `pontryagin_lqr` retourne +$P(0)$ proche du point fixe pour $T = 5$. +"""), + code("""res = opt.pontryagin_lqr( + a=1.0, b=1.0, q=1.0, r=1.0, s_terminal=0.5, + x0=1.0, t_horizon=5.0, n_steps=400, +) +ts = np.array(res['time_grid']) +P = np.array(res['riccati']) +state = np.array(res['state']) +control = np.array(res['control']) + +P_star = 1.0 + np.sqrt(2.0) +print(f\"P(0) numérique = {P[0]:.4f}\") +print(f\"P* analytique = {P_star:.4f}\") +print(f\"P(T) (terminal) = {P[-1]:.4f}\") +print(f\"Coût optimal = {res['cost']:.4f}\") + +fig, axes = plt.subplots(1, 3, figsize=(13, 3.8)) +axes[0].plot(ts, P, lw=2) +axes[0].axhline(P_star, ls='--', color='gray', + label=f'P* = {P_star:.3f}') +axes[0].set_xlabel('t'); axes[0].set_ylabel('P(t)') +axes[0].set_title(\"Riccati\"); axes[0].legend() +axes[1].plot(ts, state, lw=2, color='C2') +axes[1].set_xlabel('t'); axes[1].set_ylabel('x(t)') +axes[1].set_title(\"État optimal\") +ts_u = ts[:len(control)] +axes[2].plot(ts_u, control, lw=2, color='C3') +axes[2].set_xlabel('t'); axes[2].set_ylabel('u(t)') +axes[2].set_title(\"Commande optimale\") +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $P(0) \\approx 1 + \\sqrt{2}$ ; l'état $x$ +décroît rapidement vers $0$ ; la commande est proportionnelle à +$-P(t)\\,x(t)/r$. + +**Lecture du graphique.** $P(t)$ plate sur $[0, T-\\epsilon]$ puis +descend vers $s = 0.5$ ; trajectoires d'état/commande lisses. + +**Conclusion.** Le LQR scalaire est validé contre le point fixe +analytique. +"""), + md("""## Cellule 2 — Étude paramétrique : sensibilité au coût terminal + +**Théorème.** Lorsque $T \\to \\infty$, $P(0)$ tend vers le point fixe +indépendamment de $s$. + +**Équation pivot.** $P^* = (a + \\sqrt{a^2 + b^2 q / r}) \\cdot r / b^2$. +Pour $a = b = q = r = 1$, $P^* = 1 + \\sqrt{2}$. + +**Ce que la cellule vérifie.** Sweep sur plusieurs valeurs de $s$ et +de $T$ : $P(0)$ converge vers $P^*$. +"""), + code("""s_values = [0.1, 0.5, 2.0, 5.0] +T_values = [0.5, 1.0, 2.0, 5.0, 10.0] +P_star = 1.0 + np.sqrt(2.0) + +fig, ax = plt.subplots() +for s in s_values: + p0s = [] + for T_ in T_values: + r = opt.pontryagin_lqr(1.0, 1.0, 1.0, 1.0, s, 1.0, T_, 200) + p0s.append(r['riccati'][0]) + ax.plot(T_values, p0s, 'o-', lw=2, label=f's = {s}') + print(f\"s = {s:4.1f} : P(0) à T=10 = {p0s[-1]:.4f}\") +ax.axhline(P_star, ls='--', color='black', + label=f'P* = {P_star:.3f}') +ax.set_xlabel('horizon T'); ax.set_ylabel('P(0)') +ax.set_title(\"Convergence vers le point fixe Riccati\") +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Toutes les courbes convergent vers +$P^* \\approx 2.414$ pour $T$ grand. + +**Lecture du graphique.** L'effet du terminal $s$ s'estompe quand $T$ +augmente. + +**Conclusion.** En horizon long, le coût terminal devient négligeable. +"""), + md("""## Cellule 3 — Exemple concret : stabilisation d'un pendule inversé + +**Modèle physique.** Pendule inversé linéarisé autour de la verticale +$\\ddot\\theta = (g/\\ell)\\theta + (1/m\\ell^2) u$. Pour le mode +sur-amorti $(\\dot\\theta \\equiv 0)$ on retient l'équation scalaire +$\\dot\\theta = a\\theta + bu$ avec $a = g/\\ell$, $b = 1/(m\\ell^2)$. + +**Équation pivot (Riccati).** $P$ vérifie $-\\dot P = 2aP - (b^2/r)P^2 + q$. + +**Ce que la cellule vérifie.** Le contrôleur LQR ramène l'angle +initial $0.3$ rad vers $0$. +"""), + code("""g, ell, m = 9.81, 1.0, 1.0 +a, b = g / ell, 1.0 / (m * ell ** 2) +res = opt.pontryagin_lqr(a, b, q=10.0, r=1.0, s_terminal=1.0, + x0=0.3, t_horizon=5.0, n_steps=500) +ts = np.array(res['time_grid']) +theta = np.array(res['state']) +u = np.array(res['control']) + +print(f\"Angle initial : {theta[0]:.3f} rad ({np.degrees(theta[0]):.1f}°)\") +print(f\"Angle final : {theta[-1]:.3e} rad\") +print(f\"Effort max : {np.abs(u).max():.3f}\") + +fig, axes = plt.subplots(1, 2, figsize=(11, 4)) +axes[0].plot(ts, theta, lw=2, color='C3', label=r'$\\theta(t)$') +axes[0].axhline(0, ls='--', color='gray', alpha=0.6) +axes[0].set_xlabel('t (s)'); axes[0].set_ylabel(r'$\\theta$ (rad)') +axes[0].set_title(\"Stabilisation du pendule inversé\") +axes[0].legend() +ts_u = ts[:len(u)] +axes[1].plot(ts_u, u, lw=2, color='C2', label='u(t)') +axes[1].set_xlabel('t (s)'); axes[1].set_ylabel('u (couple)') +axes[1].set_title(\"Couple appliqué (LQR)\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $\\theta \\to 0$ rapidement, effort borné. + +**Lecture du graphique.** Décroissance exponentielle de l'angle ; +couple initial fort puis amorti. + +**Conclusion.** Le primitive transforme un système naturellement +instable ($a = 9.81 > 0$) en système stable, illustration directe +du contrôle optimal. +"""), +] + + +# --------------------------------------------------------------------------- +# 13 — Quadratic impact control +# --------------------------------------------------------------------------- +NB13_TITLE = """# 13 — Quadratic-impact control + +Doc page: [quadratic_impact_control.rst](../../docs/source/algorithms/quadratic_impact_control.rst). +""" + +NB13_CELLS = [ + md("""## Cellule 1 — Riccati générique sur un horizon fini + +**Théorème (HJB quadratique 1-D).** Pour $dq_t = u_t\\,dt + \\sigma\\,dW_t$ +et coût $L(q, u) = \\gamma u^2 + \\varphi q^2$, $g(q) = A q^2$, la +fonction valeur est $V(t, q) = h(t) q^2$ avec +$$h'(t) = h(t)^2 / \\gamma - \\varphi,\\qquad h(T) = A.$$ +Le feedback optimal est $u^*(t) = -(h(t)/\\gamma)\\,q(t)$. + +**Équation pivot.** Pour $\\gamma = \\varphi = A = 1$, le point fixe +est $h^* = 1$ (car $h^2 - 1 = 0 \\Rightarrow h = 1$). + +**Ce que la cellule vérifie.** Le primitive +`quadratic_impact_control_py(gamma=1, phi=1, A=1, T, n)` retourne +$h(t) \\equiv 1$ et donc un gain de feedback unitaire. +"""), + code("""res = opt.quadratic_impact_control_py(gamma=1.0, phi=1.0, + a_terminal=1.0, + t_horizon=0.5, n_steps=500) +ts = np.array(res['time_grid']) +h = np.array(res['h']) +k = np.array(res['feedback_gain']) + +err = float(np.max(np.abs(h - 1.0))) +print(f\"max |h(t) - 1| = {err:.3e}\") +print(f\"Feedback gain : k(0) = {k[0]:.4f}, k(T) = {k[-1]:.4f}\") + +fig, ax = plt.subplots() +ax.plot(ts, h, lw=2, label=r'$h(t)$') +ax.plot(ts, k, '--', lw=2, label=r'$k(t) = h(t)/\\gamma$') +ax.axhline(1.0, ls=':', color='gray', alpha=0.6, label='point fixe = 1') +ax.set_xlabel('t'); ax.set_ylabel('value') +ax.set_title(\"Riccati quadratique scalaire\") +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $h(t) \\equiv 1$ à précision machine. + +**Lecture du graphique.** Lignes plates à 1. + +**Conclusion.** Le primitive est validé sur le point fixe analytique. +"""), + md("""## Cellule 2 — Étude paramétrique : pénalisation $\\varphi$ + +**Théorème.** Le point fixe $h^* = \\sqrt{\\gamma \\varphi}$ croît +avec $\\varphi$. + +**Équation pivot.** +$$h^* = \\sqrt{\\gamma \\varphi}, + \\qquad k^* = h^*/\\gamma = \\sqrt{\\varphi/\\gamma}.$$ + +**Ce que la cellule vérifie.** Sweep $\\varphi \\in \\{0.1, 1, 4, 10\\}$ : +$h(0)$ s'aligne sur $\\sqrt{\\varphi}$ pour $\\gamma = 1$. +"""), + code("""phis = [0.1, 1.0, 4.0, 10.0] +fig, ax = plt.subplots() +for phi in phis: + r = opt.quadratic_impact_control_py(1.0, phi, np.sqrt(phi), + t_horizon=2.0, n_steps=500) + h_arr = np.array(r['h']) + h_star = np.sqrt(phi) + ax.plot(r['time_grid'], h_arr, + label=fr'$\\varphi = {phi}$, $h^*={h_star:.2f}$') + print(f\"phi={phi:5.2f} : h(0) = {h_arr[0]:.4f}, h* = {h_star:.4f}\") +ax.set_xlabel('t'); ax.set_ylabel('h(t)') +ax.set_title(r'Sensibilité de $h$ au coefficient $\\varphi$') +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Plus $\\varphi$ est grand, plus le gain de +feedback est élevé. + +**Lecture du graphique.** Quatre lignes plates à des hauteurs +$\\sqrt{\\varphi}$. + +**Conclusion.** Le compromis état/contrôle est gouverné par le +ratio $\\varphi/\\gamma$. +"""), + md("""## Cellule 3 — Exemple concret : régulation autour d'un set-point + +**Modèle.** En boucle fermée $\\dot q = -k q$ avec $k = h/\\gamma$, +la dynamique est $q(t) = q_0 e^{-kt}$. Cas pratique : régulateur +thermique scalaire qui ramène la température vers $0$ (écart à la +consigne). + +**Équation pivot.** +$$q(t) = q_0\\,e^{-(h^*/\\gamma)\\,t}.$$ + +**Ce que la cellule vérifie.** Pour différents $\\varphi$, on intègre +$\\dot q = -k(t) q$ et on observe la vitesse de retour vers $0$. +"""), + code("""T, n_steps = 3.0, 600 +dt = T / n_steps +q0 = 1.0 +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +for phi in [0.25, 1.0, 4.0]: + r = opt.quadratic_impact_control_py(1.0, phi, np.sqrt(phi), + t_horizon=T, n_steps=n_steps) + k = np.array(r['feedback_gain']) + q = np.zeros(n_steps + 1); q[0] = q0 + for i in range(n_steps): + q[i + 1] = q[i] - dt * k[i] * q[i] + ts = np.array(r['time_grid']) + axes[0].plot(ts, q, lw=2, label=fr'$\\varphi = {phi}$') + axes[1].plot(ts, k, lw=2, label=fr'$\\varphi = {phi}$') + print(f\"phi={phi:.2f} : q(T) = {q[-1]:.4f}\") +axes[0].set_xlabel('t'); axes[0].set_ylabel('q(t)') +axes[0].set_title(\"Écart à la consigne\") +axes[0].legend() +axes[1].set_xlabel('t'); axes[1].set_ylabel('k(t) (gain)') +axes[1].set_title(\"Gain de feedback\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Plus $\\varphi$ est grand, plus $q$ retourne +rapidement à $0$. + +**Lecture du graphique.** Décroissance exponentielle visible ; gain +plat (régime stationnaire de la Riccati). + +**Conclusion.** Le primitive fournit le gain optimal pour tout +problème linéaire-quadratique scalaire à pénalité d'impact. +"""), +] + + +# --------------------------------------------------------------------------- +# 14 — McKean-Vlasov +# --------------------------------------------------------------------------- +NB14_TITLE = """# 14 — Mean-reverting McKean–Vlasov + +Doc page: [mckean_vlasov.rst](../../docs/source/algorithms/mckean_vlasov.rst). +""" + +NB14_CELLS = [ + md("""## Cellule 1 — Conservation de la moyenne + +**Théorème (McKean 1966).** Pour la dynamique de champ moyen +$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i, + \\qquad \\bar X_t = \\frac{1}{N}\\sum_j X_t^j,$$ +la moyenne empirique est conservée en espérance, +$\\mathbb{E}[\\bar X_t] = \\bar X_0$. + +**Équation pivot.** $\\mathbb{E}[\\bar X_t] = \\bar X_0$ pour tout $t$. + +**Démonstration.** Sommer l'EDS sur $i$ : la dérive interne s'annule +(moyenne — individu). $\\square$ + +**Ce que la cellule vérifie.** `mean_reverting_mckean_vlasov` préserve +la moyenne et concentre la variance. +"""), + code("""N, T, n_steps = 500, 1.0, 200 +theta, sigma = 1.5, 0.3 +x0 = np.linspace(-1.0, 1.0, N).tolist() # mean = 0 + +res = opt.mean_reverting_mckean_vlasov(x0, theta, sigma, n_steps, T, 42) +n_t = res['n_steps'] +n_part = res['n_particles'] +paths = np.array(res['paths_flat']).reshape(n_t, n_part) +ts = np.array(res['time_grid']) + +mean = paths.mean(axis=1) +var = paths.var(axis=1) +print(f\"n_steps stocké : {n_t} (snapshots)\") +print(f\"n_particles : {n_part}\") +print(f\"Moyenne initiale : {mean[0]:.3e}\") +print(f\"Moyenne finale : {mean[-1]:.3e}\") +print(f\"Variance init : {var[0]:.3f}\") +print(f\"Variance finale : {var[-1]:.3f}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +for i in range(0, n_part, 25): + axes[0].plot(ts, paths[:, i], alpha=0.4, lw=0.7) +axes[0].plot(ts, mean, 'k-', lw=2, label='moyenne empirique') +axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$X_t^i$') +axes[0].set_title(\"Trajectoires McKean–Vlasov\") +axes[0].legend() +axes[1].plot(ts, var, lw=2, color='C2') +axes[1].set_xlabel('t'); axes[1].set_ylabel(r'Var($X_t$)') +axes[1].set_title(\"Variance empirique\") +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $|\\bar X_t - 0|$ très petit, variance qui +décroît vers une borne stationnaire. + +**Lecture du graphique.** Faisceau qui se contracte autour de la +moyenne ; variance qui diminue. + +**Conclusion.** Le solveur reproduit la concentration mean-field. +"""), + md("""## Cellule 2 — Exemple concret : dynamique d'opinion polarisée + +**Modèle.** Modèle de DeGroot continu : opinions initialement +bimodales (deux groupes opposés). La dynamique de champ moyen +détruit progressivement la polarisation. + +**Équation pivot.** +$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i.$$ + +**Ce que la cellule vérifie.** Une distribution initiale bimodale +fusionne en distribution unimodale centrée sur $\\bar X_0$. +"""), + code("""rng = np.random.default_rng(7) +N = 600 +half = N // 2 +x0 = np.concatenate([ + rng.normal(-1.0, 0.2, half), + rng.normal(+1.0, 0.2, N - half), +]).tolist() + +res = opt.mean_reverting_mckean_vlasov(x0, theta=2.0, sigma=0.15, + n_steps=400, t_horizon=2.0, seed=11) +n_t = res['n_steps'] +n_part = res['n_particles'] +paths = np.array(res['paths_flat']).reshape(n_t, n_part) + +mid = n_t // 2 +print(f\"Variance t=0 : {paths[0].var():.3f}\") +print(f\"Variance t=mid : {paths[mid].var():.3f}\") +print(f\"Variance t=T : {paths[-1].var():.3f}\") + +fig, axes = plt.subplots(1, 3, figsize=(13, 3.8)) +for ax, idx, label in zip(axes, [0, mid, -1], ['t=0', 't=T/2', 't=T']): + ax.hist(paths[idx], bins=40, density=True, + color='C0', edgecolor='white', alpha=0.85) + ax.set_title(f\"Distribution {label}\") + ax.set_xlabel('opinion'); ax.set_ylabel('densité') + ax.set_xlim(-2, 2) +fig.suptitle(\"Convergence d'une population polarisée vers le consensus\", + fontsize=12, y=1.02) +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** L'histogramme bimodal initial fusionne en un +pic unique centré à $0$. + +**Lecture du graphique.** Trois snapshots montrent la fusion +progressive des deux modes. + +**Conclusion.** L'attraction par la moyenne (mean-field) détruit la +polarisation initiale en temps fini — illustration du théorème du +consensus dans les dynamiques de DeGroot continues. +"""), +] + + +# --------------------------------------------------------------------------- +# 15 — Agent-based consensus +# --------------------------------------------------------------------------- +NB15_TITLE = """# 15 — Agent-based consensus dynamics + +Doc page: [agent_based.rst](../../docs/source/algorithms/agent_based.rst). +""" + +NB15_CELLS = [ + md("""## Cellule 1 — Convergence vers le consensus + +**Théorème (consensus DeGroot, version $\\alpha$-pondérée).** Pour la +dynamique discrète +$$X^i_{k+1} = (1 - \\alpha)\\,X^i_k + \\alpha\\,\\bar X_k + \\sigma\\,\\varepsilon_k^i,$$ +la moyenne $\\bar X_k$ est conservée en espérance et la variance +décroît à taux $(1 - \\alpha)^2$ par pas (pour $\\sigma = 0$). + +**Équation pivot.** +$$\\mathbb{E}[\\text{Var}(X_k)] = (1 - \\alpha)^{2k}\\,\\text{Var}(X_0).$$ + +**Démonstration.** Récurrence linéaire : la composante hors moyenne +est multipliée par $(1-\\alpha)$ à chaque pas. $\\square$ + +**Ce que la cellule vérifie.** `consensus_dynamics(initial, alpha, +noise_sigma, n_steps, seed)` reproduit la décroissance géométrique. +"""), + code("""N, alpha, sigma, n_steps = 50, 0.3, 0.0, 60 +rng = np.random.default_rng(1) +x0 = rng.uniform(-2, 2, N).tolist() + +res = opt.consensus_dynamics(x0, alpha=alpha, noise_sigma=sigma, + n_steps=n_steps, seed=0) +states = np.array(res['states_flat']).reshape(n_steps + 1, N) +mean_traj = np.array(res['mean_trajectory']) + +variances = states.var(axis=1) +print(f\"Moyenne initiale : {np.mean(x0):.3f}\") +print(f\"Moyenne finale : {mean_traj[-1]:.3f}\") +print(f\"Var init / final : {variances[0]:.3f} / {variances[-1]:.3e}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +for i in range(N): + axes[0].plot(states[:, i], lw=0.8, alpha=0.5) +axes[0].plot(mean_traj, 'k-', lw=2, label='moyenne') +axes[0].set_xlabel('itération k'); axes[0].set_ylabel(r'$X_k^i$') +axes[0].set_title(f\"Consensus (α = {alpha}, σ = {sigma})\") +axes[0].legend() +axes[1].semilogy(variances, lw=2, label='variance empirique') +axes[1].semilogy(variances[0] * (1 - alpha) ** (2 * np.arange(n_steps + 1)), + ':', label=r'$(1-\\alpha)^{2k}$ Var$(X_0)$') +axes[1].set_xlabel('itération k'); axes[1].set_ylabel(r'Var($X_k$)') +axes[1].set_title(\"Décroissance géométrique\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Variance qui décroît exponentiellement. + +**Lecture du graphique.** Faisceau qui se concentre vers la moyenne +(ligne noire) ; pente log-linéaire conforme à la prédiction. + +**Conclusion.** Le primitive est validé sur la convergence +géométrique. +"""), + md("""## Cellule 2 — Effet du bruit + +**Théorème.** Lorsque $\\sigma > 0$, la variance ne tombe pas à zéro +mais se stabilise à un niveau d'équilibre proportionnel à $\\sigma^2$. + +**Équation pivot.** Variance asymptotique croissante en $\\sigma^2$. + +**Ce que la cellule vérifie.** Sweep sur $\\sigma \\in \\{0.05, 0.1, +0.2\\}$ pour $\\alpha = 0.3$. +"""), + code("""N, alpha, n_steps = 80, 0.3, 200 +rng = np.random.default_rng(11) +x0 = rng.uniform(-2, 2, N).tolist() + +fig, ax = plt.subplots() +for sigma in [0.05, 0.1, 0.2]: + r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=42) + states = np.array(r['states_flat']).reshape(n_steps + 1, N) + var = states.var(axis=1) + ax.plot(var, label=fr'$\\sigma = {sigma}$') + print(f\"σ = {sigma:.2f} : Var(K) numérique = {var[-1]:.4f}\") +ax.set_xlabel('itération k'); ax.set_ylabel(r'Var($X_k$)') +ax.set_title(\"Variance asymptotique vs bruit\") +ax.legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Variance qui plateauise à un niveau +croissant avec $\\sigma^2$. + +**Lecture du graphique.** Trois courbes décroissantes qui se +stabilisent à des paliers proportionnels à $\\sigma^2$. + +**Conclusion.** Le compromis bruit / convergence est gouverné par +$\\alpha$ et $\\sigma$. +"""), + md("""## Cellule 3 — Exemple concret : émergence d'une décision collective + +**Modèle.** $N = 100$ agents au sein d'un comité décident d'un +nombre (par exemple un score entre $-1$ et $+1$). Chaque agent +ajuste sa position vers la moyenne avec un peu de bruit. + +**Équation pivot.** +$$X^i_{k+1} = (1 - \\alpha) X^i_k + \\alpha \\bar X_k + \\sigma \\varepsilon^i_k.$$ + +**Ce que la cellule vérifie.** Visualisation : densité des +opinions au cours du temps converge vers une distribution unimodale. +"""), + code("""N = 100 +n_steps = 80 +alpha, sigma = 0.2, 0.04 +rng = np.random.default_rng(7) +# distribution initiale : trois clusters +x0 = np.concatenate([ + rng.normal(-0.7, 0.15, 35), + rng.normal(0.0, 0.10, 35), + rng.normal(+0.7, 0.15, 30), +]).tolist() + +r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=0) +states = np.array(r['states_flat']).reshape(n_steps + 1, N) +mean_traj = np.array(r['mean_trajectory']) + +print(f\"Moyenne initiale : {np.mean(x0):.3f}\") +print(f\"Moyenne finale : {mean_traj[-1]:.3f}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4.2)) +im = axes[0].imshow(states.T, aspect='auto', cmap='coolwarm', + interpolation='nearest', origin='lower', + extent=[0, n_steps, 0, N]) +axes[0].set_xlabel('itération k') +axes[0].set_ylabel('agent i') +axes[0].set_title(\"Évolution des opinions individuelles\") +plt.colorbar(im, ax=axes[0], label='X_k^i') +for k, color in zip([0, 20, n_steps], ['C0', 'C2', 'C3']): + axes[1].hist(states[k], bins=20, alpha=0.55, color=color, + density=True, label=f'k={k}', edgecolor='white') +axes[1].set_xlabel('opinion'); axes[1].set_ylabel('densité') +axes[1].set_title(\"Distribution à différents instants\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Les trois clusters initiaux fusionnent en +distribution unimodale concentrée près de $\\bar X_0$. + +**Lecture du graphique.** Gauche : la heatmap montre l'horizon de +fusion. Droite : trois distributions superposées (initiale tri-modale, +intermédiaire, finale unimodale). + +**Conclusion.** Le primitive `consensus_dynamics` modélise toute +dynamique de moyennage par interaction (vote pondéré, opinion +publique, scoring collectif). +"""), +] + + +# --------------------------------------------------------------------------- +# 16 — Robust drift +# --------------------------------------------------------------------------- +NB16_TITLE = """# 16 — Robust drift estimation (Huber) + +Doc page: [robust_drift.rst](../../docs/source/algorithms/robust_drift.rst). +""" + +NB16_CELLS = [ + md("""## Cellule 1 — Récupération du drift d'un OU sous bruit gaussien + +**Théorème.** Pour le processus d'Ornstein–Uhlenbeck discret +$$x_{k+1} = x_k + (a + b x_k)\\,\\Delta t + \\sigma\\,\\varepsilon_k,$$ +l'estimateur de Huber via IRLS converge vers $(a, b)$ pour bruit +symétrique. + +**Équation pivot (lien avec OU continu).** $dX_t = (a + b X_t) dt ++ \\sigma dW_t$ ; en posant $a = \\theta\\mu$, $b = -\\theta$, on +récupère le mean-reversion $dX_t = \\theta(\\mu - X_t)dt + \\sigma dW_t$. + +**Ce que la cellule vérifie.** $\\theta = 2$, $\\mu = 1$ donc +$a_\\text{vrai} = 2$, $b_\\text{vrai} = -2$. L'estimateur retrouve +ces valeurs sur $N = 1000$ observations. +"""), + code("""rng = np.random.default_rng(0) +theta_true, mu_true, sigma = 2.0, 1.0, 0.2 +N = 1000 +dt = 0.01 +x = np.zeros(N) +x[0] = 0.5 +for k in range(N - 1): + x[k + 1] = x[k] + theta_true * (mu_true - x[k]) * dt + \\ + sigma * np.sqrt(dt) * rng.standard_normal() + +res = opt.robust_drift(x.tolist(), dt, huber_delta=1.345) +a_hat, b_hat = res['a'], res['b'] +a_true, b_true = theta_true * mu_true, -theta_true +print(f\"a vrai / estimé : {a_true:.3f} / {a_hat:.3f}\") +print(f\"b vrai / estimé : {b_true:.3f} / {b_hat:.3f}\") +print(f\"theta_hat = {-b_hat:.3f}, mu_hat = {a_hat / -b_hat:.3f}\") +print(f\"itérations IRLS : {res['iterations']}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +ts = np.arange(N) * dt +axes[0].plot(ts, x, lw=0.8) +axes[0].axhline(mu_true, ls='--', color='gray', label=fr'$\\mu = {mu_true}$') +axes[0].set_xlabel('t'); axes[0].set_ylabel('x(t)') +axes[0].set_title(\"Trajectoire OU simulée\") +axes[0].legend() +dx = (x[1:] - x[:-1]) / dt +axes[1].scatter(x[:-1], dx, s=4, alpha=0.4, label='observations') +xs_lin = np.linspace(x.min(), x.max(), 50) +axes[1].plot(xs_lin, a_true + b_true * xs_lin, 'k--', + lw=1.5, label='vrai drift') +axes[1].plot(xs_lin, a_hat + b_hat * xs_lin, 'C3-', + lw=2, label='Huber estimé') +axes[1].set_xlabel('x'); axes[1].set_ylabel(r'$\\Delta x / \\Delta t$') +axes[1].set_title(\"Régression robuste sur le drift\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $\\hat a \\approx 2.0$, $\\hat b \\approx -2.0$. + +**Lecture du graphique.** Gauche : trajectoire qui oscille autour de +$\\mu = 1$. Droite : nuage des incréments avec deux droites +superposées (vraie et estimée). + +**Conclusion.** Sur bruit gaussien, Huber se comporte comme OLS +(efficacité ~95 %). +"""), + md("""## Cellule 2 — Robustesse face à un bruit de Cauchy + +**Théorème (consistance de Huber sous queues lourdes).** Pour +$\\varepsilon_k \\sim \\text{Cauchy}$, OLS *diverge* (variance +infinie) tandis que Huber reste consistant. + +**Équation pivot.** +$$\\hat\\theta_\\text{Huber} \\xrightarrow{a.s.} \\theta_0, + \\qquad \\hat\\theta_\\text{OLS} \\nrightarrow \\theta_0 + \\text{ (Cauchy)}.$$ + +**Ce que la cellule vérifie.** On compare Huber vs OLS sur 30 jeux +synthétiques OU avec bruit de Cauchy injecté. +"""), + code("""rng = np.random.default_rng(123) +theta_true, mu_true = 2.0, 1.0 +sigma_cauchy = 0.05 +N = 1000; dt = 0.01 +n_runs = 30 +a_true, b_true = theta_true * mu_true, -theta_true + +ols_errs, huber_errs = [], [] +for _ in range(n_runs): + x = np.zeros(N); x[0] = 0.5 + for k in range(N - 1): + eps = rng.standard_cauchy() * sigma_cauchy + x[k + 1] = x[k] + theta_true * (mu_true - x[k]) * dt + eps * np.sqrt(dt) + Xmat = np.column_stack([np.ones(N - 1), x[:-1]]) + yvec = (x[1:] - x[:-1]) / dt + th_ols, *_ = np.linalg.lstsq(Xmat, yvec, rcond=None) + r = opt.robust_drift(x.tolist(), dt, huber_delta=1.345) + th_h = np.array([r['a'], r['b']]) + ols_errs.append(np.linalg.norm(th_ols - np.array([a_true, b_true]))) + huber_errs.append(np.linalg.norm(th_h - np.array([a_true, b_true]))) + +ols_errs = np.array(ols_errs); huber_errs = np.array(huber_errs) +print(f\"OLS : médiane = {np.median(ols_errs):.3f}, max = {ols_errs.max():.2f}\") +print(f\"Huber : médiane = {np.median(huber_errs):.3f}, max = {huber_errs.max():.2f}\") + +fig, axes = plt.subplots(1, 2, figsize=(11, 4)) +axes[0].boxplot([ols_errs, huber_errs], labels=['OLS', 'Huber']) +axes[0].set_ylabel(r'$\\|\\hat\\theta - \\theta_0\\|$') +axes[0].set_yscale('log') +axes[0].set_title(f\"{n_runs} runs OU + bruit Cauchy\") +axes[1].hist(np.clip(ols_errs, 0, 10), bins=20, + alpha=0.5, label='OLS', color='C3') +axes[1].hist(huber_errs, bins=20, alpha=0.7, label='Huber', color='C0') +axes[1].set_xlabel(r'$\\|\\hat\\theta - \\theta_0\\|$') +axes[1].set_ylabel('fréquence') +axes[1].set_title(\"Distribution des erreurs\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** Huber médiane bien inférieure à OLS médiane. + +**Lecture du graphique.** Gauche : boxplots log, Huber serré. +Droite : histogramme — OLS dispersé, Huber concentré près de $0$. + +**Conclusion.** L'estimateur robuste est indispensable dès que les +queues s'éloignent du gaussien (mesures expérimentales bruitées, +signaux de capteurs aberrants). +"""), +] + + +# --------------------------------------------------------------------------- +# 17 — Generative calibration hooks (MMD) +# --------------------------------------------------------------------------- +NB17_TITLE = """# 17 — Generative calibration hooks (MMD) + +Doc page: [generative_calibration_hooks.rst](../../docs/source/algorithms/generative_calibration_hooks.rst). +""" + +NB17_CELLS = [ + md("""## Cellule 1 — MMD nulle entre échantillons identiques + +**Théorème (Gretton et al. 2012).** Pour le noyau gaussien +$k(x, y) = \\exp(-(x-y)^2 / 2\\sigma^2)$, la MMD au carré empirique +entre $X = (x_i)$ et $Y = (y_j)$ est +$$\\widehat{\\text{MMD}}^2(X, Y) = \\frac{1}{m^2}\\sum_{ij} k(x_i, x_j) + + \\frac{1}{n^2}\\sum_{ij} k(y_i, y_j) + - \\frac{2}{mn}\\sum_{ij} k(x_i, y_j).$$ + +**Équation pivot.** $X = Y \\Rightarrow \\widehat{\\text{MMD}}^2 = 0$. + +**Démonstration.** Les trois sommes coïncident terme à terme. $\\square$ + +**Ce que la cellule vérifie.** `mmd_gaussian(X, X, sigma)` retourne $0$ +à précision machine. +"""), + code("""rng = np.random.default_rng(0) +X = rng.standard_normal(200).tolist() +m = float(opt.mmd_gaussian(X, X, sigma=1.0)) +print(f\"MMD(X, X) = {m:.3e} (attendu : 0)\") + +fig, ax = plt.subplots() +ax.hist(X, bins=30, density=True, color='C0', + edgecolor='white', alpha=0.85) +ax.set_title(r'Échantillon $X = Y$') +ax.set_xlabel('x'); ax.set_ylabel('densité') +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** $\\sim 0$. + +**Lecture du graphique.** Histogramme gaussien standard. + +**Conclusion.** L'auto-MMD nulle est validée. +"""), + md("""## Cellule 2 — MMD entre gaussienne et Laplace + +**Théorème.** Deux distributions de moyenne et variance identiques +mais formes différentes ont une MMD strictement positive. + +**Équation pivot.** +$$\\text{MMD}^2(\\mathcal{N}(0, 1), \\text{Laplace}(0, 1/\\sqrt{2})) > 0.$$ + +**Ce que la cellule vérifie.** Sweep en $\\sigma$ : la MMD est +maximale autour de $\\sigma$ commensurable à l'échelle des +distributions. +"""), + code("""rng = np.random.default_rng(2) +n = 500 +X = rng.standard_normal(n).tolist() # N(0, 1) +Y = rng.laplace(0.0, 1.0 / np.sqrt(2.0), n).tolist() # même variance + +sigmas = np.geomspace(0.1, 10.0, 25) +mmds = [float(opt.mmd_gaussian(X, Y, sigma=s)) for s in sigmas] +print(f\"MMD min : {min(mmds):.3e}, MMD max : {max(mmds):.3e}\") +print(f\"σ optimal : {sigmas[int(np.argmax(mmds))]:.2f}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +xs = np.linspace(-5, 5, 400) +axes[0].hist(X, bins=40, density=True, alpha=0.5, + label=r'$\\mathcal{N}(0,1)$', color='C0') +axes[0].hist(Y, bins=40, density=True, alpha=0.5, + label='Laplace', color='C3') +axes[0].plot(xs, np.exp(-xs**2/2)/np.sqrt(2*np.pi), + 'C0--', lw=1.5) +axes[0].plot(xs, np.exp(-np.abs(xs)*np.sqrt(2))*np.sqrt(2)/2, + 'C3--', lw=1.5) +axes[0].set_xlabel('x'); axes[0].set_ylabel('densité') +axes[0].set_title(\"Densités comparées\"); axes[0].legend() +axes[1].semilogx(sigmas, mmds, 'o-', lw=2, color='C2') +axes[1].set_xlabel(r'bandwidth $\\sigma$') +axes[1].set_ylabel(r'$\\widehat{\\text{MMD}}^2$') +axes[1].set_title(\"Sensibilité à la bandwidth\") +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** MMD strictement positive, courbe en cloche. + +**Lecture du graphique.** Gauche : la Laplace est plus pointue ; +droite : MMD maximale lorsque $\\sigma \\sim 1$. + +**Conclusion.** Le choix de bandwidth est crucial ; règle pratique : +$\\sigma \\approx \\text{médiane des distances}$. +"""), + md("""## Cellule 3 — Exemple concret : MMD entre mélange et gaussienne + +**Modèle.** $P = \\mathcal{N}(0, 1)$ vs +$Q_\\mu = \\frac{1}{2}\\mathcal{N}(-\\mu, 1) + \\frac{1}{2}\\mathcal{N}(+\\mu, 1)$. +La MMD doit *croître* avec $\\mu$. + +**Équation pivot.** +$$\\text{MMD}^2(P, Q_\\mu) \\xrightarrow[\\mu \\to 0]{} 0, + \\qquad \\nearrow \\text{ en } \\mu.$$ + +**Ce que la cellule vérifie.** Pour $\\mu \\in [0, 2.5]$, la courbe +MMD est croissante. +"""), + code("""rng = np.random.default_rng(11) +n = 400 +P = rng.standard_normal(n).tolist() +mus = np.linspace(0.0, 2.5, 11) + +mmd_vals = [] +for mu in mus: + half = n // 2 + Q = np.concatenate([ + rng.standard_normal(half) - mu, + rng.standard_normal(n - half) + mu, + ]).tolist() + mmd_vals.append(float(opt.mmd_gaussian(P, Q, sigma=1.0))) + +for mu, m in zip(mus, mmd_vals): + print(f\"μ = {mu:.2f} -> MMD² = {m:.3e}\") + +fig, axes = plt.subplots(1, 2, figsize=(12, 4)) +axes[0].plot(mus, mmd_vals, 'o-', lw=2, color='C2') +axes[0].set_xlabel(r'séparation $\\mu$') +axes[0].set_ylabel(r'$\\widehat{\\text{MMD}}^2$') +axes[0].set_title(\"MMD croissante avec la séparation\") + +mu_show = mus[-1] +half = n // 2 +Q_show = np.concatenate([ + rng.standard_normal(half) - mu_show, + rng.standard_normal(n - half) + mu_show, +]) +axes[1].hist(P, bins=30, density=True, alpha=0.5, + label=r'P = $\\mathcal{N}(0,1)$', color='C0') +axes[1].hist(Q_show, bins=30, density=True, alpha=0.5, + label=fr'Q (μ = {mu_show:.1f})', color='C3') +axes[1].set_xlabel('x'); axes[1].set_ylabel('densité') +axes[1].set_title(\"P vs Q (mélange séparé)\") +axes[1].legend() +fig.tight_layout(); plt.show() +"""), + md("""**Résultat attendu.** MMD croît monotone en $\\mu$. + +**Lecture du graphique.** Gauche : courbe croissante. Droite : la +gaussienne unique vs le mélange bimodal sont visuellement +distincts à $\\mu = 2.5$. + +**Conclusion.** MMD avec noyau gaussien est un détecteur efficace de +différence distributionnelle, applicable à la calibration de modèles +génératifs (GAN, normalizing flows) en boucle d'apprentissage. +"""), +] + + +# --------------------------------------------------------------------------- +NOTEBOOKS = [ + ("10_bsde.ipynb", NB10_TITLE, NB10_CELLS), + ("11_pde.ipynb", NB11_TITLE, NB11_CELLS), + ("12_stochastic_control.ipynb", NB12_TITLE, NB12_CELLS), + ("13_quadratic_impact.ipynb", NB13_TITLE, NB13_CELLS), + ("14_mckean_vlasov.ipynb", NB14_TITLE, NB14_CELLS), + ("15_agent_based.ipynb", NB15_TITLE, NB15_CELLS), + ("16_robust_drift.ipynb", NB16_TITLE, NB16_CELLS), + ("17_generative_calibration.ipynb", NB17_TITLE, NB17_CELLS), +] + + +def main() -> None: + failures: list[str] = [] + for name, title, cells in NOTEBOOKS: + path = write_notebook(name, title, cells) + print(f" written {path.name} ({len(cells) + 2} cells)") + rc = subprocess.run( + [ + "jupyter", "nbconvert", + "--to", "notebook", + "--execute", + "--inplace", + "--ExecutePreprocessor.kernel_name=rhftlab", + "--ExecutePreprocessor.timeout=300", + str(path), + ], + check=False, + ) + status = "OK" if rc.returncode == 0 else f"FAIL ({rc.returncode})" + if rc.returncode != 0: + failures.append(name) + print(f" executed {path.name} -> {status}") + print() + if failures: + print(f"FAILURES: {failures}") + else: + print("ALL NOTEBOOKS OK") + + +if __name__ == "__main__": + main()