{ "cells": [ { "cell_type": "markdown", "id": "26aee863", "metadata": {}, "source": [ "# Stochastic series - AR(1) generator" ] }, { "cell_type": "markdown", "id": "2ba1e95f", "metadata": {}, "source": [ "This tutorial shows the `plans.stochastic` functions that make and fit synthetic series. They work on plain `numpy` arrays and a `period` (steps per cycle), so there are no dates and no units involved.\n", "\n", "A series is a linear trend, a cycle and a remainder, which holds the memory and the shocks:\n", "\n", "$$x_t = \\underbrace{b + a\\,t}_{\\text{trend}} + \\underbrace{A\\,(g_t - m_k)}_{\\text{cycle}} + \\underbrace{R_t}_{\\text{remainder}}, \\qquad R_t = \\varphi R_{t-1} + \\varepsilon_t, \\qquad \\varepsilon_t \\sim \\mathcal{N}(0, \\sigma^2)$$\n", "\n", "The shape of the cycle $g_t$ is a raised cosine to a power $k$, and $m_k$ is its average over a cycle." ] }, { "cell_type": "markdown", "id": "2633d9e5", "metadata": {}, "source": [ "## Notebook setup\n", "\n", "For users running this tutorial as a Jupyter Notebook, this cell must be executed first:" ] }, { "cell_type": "code", "execution_count": 1, "id": "7557ed53", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:24.920185Z", "iopub.status.busy": "2026-11-01T19:50:24.919574Z", "iopub.status.idle": "2026-11-01T19:50:25.690628Z", "shell.execute_reply": "2026-11-01T19:50:25.690098Z" } }, "outputs": [], "source": [ "import sys\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Install `plans` in `google.colab`.\n", "# Use `pip install plans` for other environments.\n", "\n", "if \"google.colab\" in sys.modules:\n", " import os\n", " os.system(f\"{sys.executable} -m pip install -q plans\")\n", "\n", "# This avoids warnings related to uninstalled fonts\n", "import logging\n", "# Set the matplotlib font manager logger to only show errors (hides warnings)\n", "logging.getLogger('matplotlib.font_manager').setLevel(logging.ERROR)\n", "\n", "from plans import viewer\n", "from plans.stochastic import (\n", " make_params,\n", " build,\n", " fit_params,\n", " decompose,\n", " describe,\n", " get_floor,\n", " cycle_shape,\n", ")\n", "\n", "# Same style and figure sizes of the plans figures\n", "viewer.set_style(style=\"wien\")\n", "plt.rcParams[\"figure.dpi\"] = viewer.FIG_DPI\n", "plt.rcParams[\"axes.titlelocation\"] = \"left\"\n", "\n", "\n", "def inches(size):\n", " return viewer.FIG_SIZES[size][\"w\"] / 25.4, viewer.FIG_SIZES[size][\"h\"] / 25.4\n", "\n", "\n", "GRAY, BLUE, ORANGE, RED = \"gray\", \"blue\", \"orange\", \"red\"\n", "LEGEND = {\"loc\": \"upper left\", \"bbox_to_anchor\": (1, 1)}" ] }, { "cell_type": "markdown", "id": "46964e21", "metadata": {}, "source": [ "## Make the parameters\n", "\n", "`make_params()` takes what you know and converts it to a small dictionary of numbers. Here is a temperature-like monthly series over 20 years, given by its average, its change per cycle and its coldest and warmest points. The cycle peaks at step 6 of each cycle:" ] }, { "cell_type": "code", "execution_count": 2, "id": "8a9c74fe", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:25.693520Z", "iopub.status.busy": "2026-11-01T19:50:25.693002Z", "iopub.status.idle": "2026-11-01T19:50:25.701524Z", "shell.execute_reply": "2026-11-01T19:50:25.700773Z" } }, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "{'start': 14.004166666666666,\n 'slope': 0.008333333333333333,\n 'amplitude': 10.0,\n 'period': 12,\n 'phase': 6.0,\n 'power': 1.0,\n 'phi': 0.5,\n 'sigma': 1.0}" }, "execution_count": 2 } ], "source": [ "n = 240\n", "truth = make_params(\n", " period=12,\n", " average=15,\n", " n=n,\n", " cycle_change=0.1,\n", " baseline=10,\n", " topline=20,\n", " phase=6,\n", " phi=0.5,\n", " sigma=1,\n", ")\n", "truth" ] }, { "cell_type": "markdown", "id": "8a0878be", "metadata": {}, "source": [ "`describe()` prints every view of the same model, so you can read it in the form you know:" ] }, { "cell_type": "code", "execution_count": 3, "id": "ebbd7d9a", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:25.704736Z", "iopub.status.busy": "2026-11-01T19:50:25.704268Z", "iopub.status.idle": "2026-11-01T19:50:25.876513Z", "shell.execute_reply": "2026-11-01T19:50:25.875839Z" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "start 14.0042\nslope per step 0.00833333\nslope per cycle 0.1\ntrend end (n=240) 15.9958\ntrend average (n=240) 15\namplitude 10\nbaseline (at trend average) 10\ntopline (at trend average) 20\nperiod 12\nphase 6\npower 1\nphi 0.5\nsigma 1\nfloor (n=240) 9.00417\n" } ], "source": [ "print(describe(params=truth, n=n))" ] }, { "cell_type": "markdown", "id": "417d84ec", "metadata": {}, "source": [ "## Build a series\n", "\n", "`build()` makes a series from the parameters. The `seed` makes it reproducible:" ] }, { "cell_type": "code", "execution_count": 4, "id": "fa1bbd9d", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:25.878702Z", "iopub.status.busy": "2026-11-01T19:50:25.878409Z", "iopub.status.idle": "2026-11-01T19:50:25.971707Z", "shell.execute_reply": "2026-11-01T19:50:25.970984Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
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" } } ], "source": [ "x = build(params=truth, n=n, seed=5)\n", "\n", "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "ax.plot(x, color=GRAY)\n", "ax.set(title=\"Synthetic series\", xlabel=\"step\", ylabel=\"value\", ylim=(0, None))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8891a357", "metadata": {}, "source": [ "## Fit the parameters\n", "\n", "`fit_params()` goes the other way, from data to parameters. The series was made from known values, so we can compare them. Only `period` is an input, because it is never estimated:" ] }, { "cell_type": "code", "execution_count": 5, "id": "d4c1a1ce", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:25.973952Z", "iopub.status.busy": "2026-11-01T19:50:25.973718Z", "iopub.status.idle": "2026-11-01T19:50:26.111136Z", "shell.execute_reply": "2026-11-01T19:50:26.110313Z" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "start true 14.0042 fit 13.4739\nslope true 0.0083 fit 0.0121\namplitude true 10.0000 fit 9.8947\nphase true 6.0000 fit 5.9786\npower true 1.0000 fit 1.0000\nphi true 0.5000 fit 0.4784\nsigma true 1.0000 fit 0.9771\n" } ], "source": [ "fit = fit_params(x=x, period=12)\n", "\n", "for key in [\"start\", \"slope\", \"amplitude\", \"phase\", \"power\", \"phi\", \"sigma\"]:\n", " print(f\"{key:<10} true {truth[key]:8.4f} fit {fit[key]:8.4f}\")" ] }, { "cell_type": "markdown", "id": "21494c9f", "metadata": {}, "source": [ "A single series carries sampling error, and `phi` is usually the most affected. Repeating the fit over many seeds shows the spread for this series length:" ] }, { "cell_type": "code", "execution_count": 6, "id": "ff24f8bc", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:26.114097Z", "iopub.status.busy": "2026-11-01T19:50:26.113680Z", "iopub.status.idle": "2026-11-01T19:50:26.795499Z", "shell.execute_reply": "2026-11-01T19:50:26.794769Z" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "phi: true 0.500, fitted 0.476 +- 0.057\n" } ], "source": [ "phis = [fit_params(x=build(params=truth, n=n, seed=s), period=12)[\"phi\"] for s in range(50)]\n", "\n", "print(f\"phi: true {truth['phi']:.3f}, fitted {np.mean(phis):.3f} +- {np.std(phis):.3f}\")" ] }, { "cell_type": "markdown", "id": "e610812a", "metadata": {}, "source": [ "## Decompose a series\n", "\n", "`decompose()` splits the series into its components, given the parameters. The remainder keeps the memory, while the shocks are what is left after removing it:" ] }, { "cell_type": "code", "execution_count": 7, "id": "32550a90", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:26.797491Z", "iopub.status.busy": "2026-11-01T19:50:26.797259Z", "iopub.status.idle": "2026-11-01T19:50:26.976264Z", "shell.execute_reply": "2026-11-01T19:50:26.975584Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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" } } ], "source": [ "parts = decompose(x=x, params=fit)\n", "\n", "fig, axes = plt.subplots(nrows=4, sharex=True, figsize=inches(\"M\"))\n", "for ax, name in zip(axes, [\"trend\", \"cycle\", \"remainder\", \"shocks\"]):\n", " ax.plot(parts[name], color=GRAY)\n", " ax.set_ylabel(name)\n", "axes[-1].set_xlabel(\"step\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "827648bd", "metadata": {}, "source": [ "The shocks rebuild the original series exactly, so nothing is lost in the decomposition:" ] }, { "cell_type": "code", "execution_count": 8, "id": "e6ce1772", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:26.978408Z", "iopub.status.busy": "2026-11-01T19:50:26.978183Z", "iopub.status.idle": "2026-11-01T19:50:26.983563Z", "shell.execute_reply": "2026-11-01T19:50:26.982965Z" } }, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "True" }, "execution_count": 8 } ], "source": [ "rebuilt = build(params=fit, n=n, shocks=parts[\"shocks\"])\n", "np.allclose(rebuilt, x)" ] }, { "cell_type": "markdown", "id": "742cc649", "metadata": {}, "source": [ "## Autoregression\n", "\n", "The memory is a relation between each step of the remainder and the step before it. Plotting one against the other shows it directly, and `phi` is the slope of the line through the origin:" ] }, { "cell_type": "code", "execution_count": 9, "id": "c3e742da", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:26.985447Z", "iopub.status.busy": "2026-11-01T19:50:26.985235Z", "iopub.status.idle": "2026-11-01T19:50:27.086571Z", "shell.execute_reply": "2026-11-01T19:50:27.085917Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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" } } ], "source": [ "r = parts[\"remainder\"]\n", "\n", "fig, ax = plt.subplots(figsize=inches(\"S\"))\n", "ax.scatter(r[:-1], r[1:], s=20, color=GRAY, edgecolor=\"white\", linewidth=0.5, label=\"steps\")\n", "line = np.array([r.min(), r.max()])\n", "ax.plot(line, fit[\"phi\"] * line, color=RED, label=f\"phi = {fit['phi']:.2f}\")\n", "ax.set(title=\"Each step against the previous one\", xlabel=\"remainder at t - 1\", ylabel=\"remainder at t\")\n", "ax.legend(**LEGEND)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f334a349", "metadata": {}, "source": [ "## Draw a new series\n", "\n", "The same parameters with a new seed give a different series with the same behavior:" ] }, { "cell_type": "code", "execution_count": 10, "id": "a8292eda", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:27.088582Z", "iopub.status.busy": "2026-11-01T19:50:27.088366Z", "iopub.status.idle": "2026-11-01T19:50:27.175911Z", "shell.execute_reply": "2026-11-01T19:50:27.175173Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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} } ], "source": [ "x_new = build(params=fit, n=n, seed=2)\n", "\n", "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "ax.plot(x, color=GRAY, label=\"original\")\n", "ax.plot(x_new, color=BLUE, label=\"new seed\")\n", "ax.set(title=\"Same parameters, different shocks\", xlabel=\"step\", ylabel=\"value\", xlim=(0, 72), ylim=(0, None))\n", "ax.legend(**LEGEND)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d7ce9af5", "metadata": {}, "source": [ "## Change one parameter\n", "\n", "To isolate the effect of a parameter, change it and build again with the same seed. Both series use the same random numbers, so the only difference is the parameter. A steeper trend adds a straight line to the same shocks:" ] }, { "cell_type": "code", "execution_count": 11, "id": "7fb44bce", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:27.177933Z", "iopub.status.busy": "2026-11-01T19:50:27.177711Z", "iopub.status.idle": "2026-11-01T19:50:27.267631Z", "shell.execute_reply": "2026-11-01T19:50:27.266900Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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" } } ], "source": [ "steeper = dict(truth, slope=3 * truth[\"slope\"])\n", "\n", "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "ax.plot(build(params=truth, n=n, seed=5), color=GRAY, label=\"original slope\")\n", "ax.plot(build(params=steeper, n=n, seed=5), color=BLUE, label=\"3 x slope\")\n", "ax.set(title=\"Same shocks, steeper trend\", xlabel=\"step\", ylabel=\"value\", ylim=(0, None))\n", "ax.legend(**LEGEND)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5b1c4e40", "metadata": {}, "source": [ "Memory is easier to see in the remainder. With a high `phi`, the remainder wanders away from zero and takes longer to return:" ] }, { "cell_type": "code", "execution_count": 12, "id": "4d44c01a", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:27.269636Z", "iopub.status.busy": "2026-11-01T19:50:27.269412Z", "iopub.status.idle": "2026-11-01T19:50:27.362731Z", "shell.execute_reply": "2026-11-01T19:50:27.361888Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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" } } ], "source": [ "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "for phi, color in [(0.0, GRAY), (0.5, BLUE), (0.9, ORANGE)]:\n", " params = dict(truth, phi=phi)\n", " y = build(params=params, n=n, seed=5)\n", " ax.plot(decompose(x=y, params=params)[\"remainder\"], color=color, label=f\"phi = {phi}\")\n", "ax.set(title=\"Same shocks, different memory\", xlabel=\"step\", ylabel=\"remainder\")\n", "ax.legend(**LEGEND)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1cd2e76b", "metadata": {}, "source": [ "## Shape of the cycle\n", "\n", "`power` sets the shape of the cycle. A value of 1 is a plain cosine, and larger values give a sharper peak with a flat bottom:" ] }, { "cell_type": "code", "execution_count": 13, "id": "b348f7bc", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:27.365327Z", "iopub.status.busy": "2026-11-01T19:50:27.364934Z", "iopub.status.idle": "2026-11-01T19:50:27.487892Z", "shell.execute_reply": "2026-11-01T19:50:27.487330Z" } }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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" } } ], "source": [ "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "for power, color in [(1, GRAY), (3, BLUE), (8, ORANGE)]:\n", " ax.plot(cycle_shape(n=120, period=120, phase=60, power=power), color=color, label=f\"power = {power}\")\n", "ax.set(title=\"Shape over one cycle\", xlabel=\"step\", ylabel=\"shape\")\n", "ax.legend(**LEGEND)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9212a0d9", "metadata": {}, "source": [ "## Limitation: positive variables\n", "\n", "A sharp cycle looks like rainfall, and its trend plus cycle can stay above zero. The shocks, however, are is Gaussian and additive, so the series itself can still go below zero. Lets count those steps, and then prune them to zero:" ] }, { "cell_type": "code", "execution_count": 14, "id": "77a3d6c0", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T19:50:27.490481Z", "iopub.status.busy": "2026-11-01T19:50:27.490075Z", "iopub.status.idle": "2026-11-01T19:50:27.581397Z", "shell.execute_reply": "2026-11-01T19:50:27.580786Z" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "lowest trend + cycle: 6.25\nlowest value in series: -15.40\nsteps below zero: 11.7 %\nmean before and after pruning: 99.39, 99.93\n" }, { "output_type": "display_data", "metadata": {}, "data": { "text/plain": "
", "image/png": 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Dyug4YMykKnb4p+5Tk2PQ71kdDz/8sDyPUDG92mqryWMDKxcGg8Fg0KMJ/iuCXDIY1AAlE7p9gJlxEkA9g+IUVWnMYDAYDEYjgXP6GKsEIHcN8uA4N4zBYDAYjGQw6WOsEoCCGvBWBF88BoPBYDAY1eDwLoPBYDAYDEYDgJU+BoPBYDAYjAYAkz4Gg8FgMBiMBgCTPgaDwWAwGIwGAJM+BoPBYDAYjAYAkz4Gg8FgMBiMBgCTPgaDwWAwGIwGAJM+BoPBYDAYjAZAq2hwrFixQjaYX3fddUV7e/tovx0Gg8FgMBgNioGBAfHWW2+JHXfcUYwdOxb99Rue9AHh23PPPUf7bTAYDAaDwWBI3HrrrWKPPfYQ2Gh40gcKH+CP828S06dPJxuno71N9A8Mkr0+ww98fWoffI1qG3x9ah98jWr/+ix44UWx3777BNwEGw1P+lRIFwjfrFmzycbp7GgTff38sNUq+PrUPvga1Tb4+tQ++BrV/vVRpJwq3YwLORgMBoPBYDAaAEz6GAwGg8FgMBoATPoYDAaDwWAwGgBM+hgMBoPBYDAaAEz6GAwGg8FgMBoATPoYDAaDwWAwGgBM+hgMBoPBYDAaAEz6GAwGg8FgMBoATPoYDAaDwUBCqVSS/xiMWgSTPgaDwWAwEDAyMiKuuOJyce21VzPxY9QkGr4NG4PBYDAYGOjt7RUL3303IIAtLS2j/ZYYjAhY6WMwGAwGAwGDg2Ff26GhoVF9LwxGEpj0MRgMBoOBACZ9jFoHkz4Gg8FgMBAwxKSPUeNg0sdgMBgMBgIGmPQxahxM+hgMBoPBQMDQEJM+Rm2DSR+DwWAwGAgYHNBJX/g5g1ErYNLHYDAYjEyAasW+c/kYjCh9w6P6XhiMJDDpYzAYDEYqli1bJs4//zzx17/+ZbTfSp1V77LSx6g9MOljMBgMRioWLXpPDA4MiLfefFPUOz744AOxYsWKQkjfMCt9jBoEkz4Gg8FgpEIVJAwODoh6Rl9fr7j8snnit9deUwjp00O9DEatgEkfg8FgMHJJ38BAfZO+5ctXiOHhYbF06YeF+PSx0seoRTDpYzAYDEYqFHmpd9IHIWrqohTO6WPUOpj0MRoe/f39MteHwWBUY2i4rPSBSgb/6hUDWniaykMvSvrq91wxVl0w6WM0PG6a/0dx4YUXiiVLFot6B9tqNBaAhD304IPi/UWLyMbQCZJOauoNulJZDOmr33PFWHXBpG8VxcKF74p33313tN9GXWDJh0vkxw8/pMv1KQKPPvqIOP//fibee++90X4rjILwr3+9LO6++05xzz13k40xrJO+Og7xDhZB+nSfvjpWRRmrLpj0raK7/2uvuVpce81v6jocUxRU8nW9t0165ZV/ib6+PvHWW/VvrcEwQ09Pj/y4ciWdDYn+XOi9Zeu7L+4gvdJXx+cK8Prrr4lnnnl6tN8GAxmt2C/IGH0MDPTLPDX1eVdX92i/pZqGmqjrOXQFGBocWiXIK8NeveqrPO8U0BUrmE/qFUWEd3Wip3IhKfDM0/+UJPajH92SbIybb7pJrFixXExbb5oYt9pqZOMwigWTvlUQ/f0DUSLQNapvp+ahFoB6J0tKvaj342DYq1f9fX2FhHcHtN6ydU36KhskWqVviCxv99Zb/yyjOBtttLHo6qKZ4Ht7KypyTw+TvlUIHN5dBaHvxgeZAOROoKsK6RtUSl+dK5arCoAAPPrIw2Lp0qXkRAaUfaoinmghx6qR00c1L6pnkFLpg2uu0nYUMcPGyMhIMEa9W/UwomDSt4orfcOEIYZVAREH/TonSyqJnIl+bWDBgufFHXfcLu77+73kRAYWaar7Vycv9UwAisnpK7ZCGHJ4yfM46zikz6gGk75VEPpDShViWFWgT27USh/56wc5ffVNXlcV9KzsiRRbUHvPqTxebOidJQbrOLxbSPVupCMHndJHTfr046hnos+oI9J33XXXiY033liMHTtWbLLJJuLGG2+U31+yZInYf//9xfjx48W0adPEvHnzIpPekUceKSZMmCDWXnttceaZZ4pGxICm9NW76vOvl18WDz74AGHoSt/9052ru+66U9qpLF78AX1OHxP9moBSfSgVZH1BpiJ9ug1JPRMA6kIOmKOivXepiOWqQ/ruuvMOMe+Xl5Ddu4w6KeR44YUXxBFHHCFuu+02scMOO4jbb79d7L333uKtt94SX/7ylyURXLhwoXjqqafEXnvtJUnhdtttJ0466STx2muviVdeeUV6lX3qU58Ss2bNEgcddJBoJPTrSl+dqz633fZX2Stzw5kbiolrrkmbg0O4OL/xxutyIl347kIxYcJE2irkOif6oIw9+8zTYpNNN63rynN1PXQ1Dn0MnfQREQBd6aM8FiBiLS0toqmpieT19fdOQcTjRJJO6SsgvKuTPk1EoEiBWLZsmVi0aJGYOnUq2TiMGid9s2fPlqQOyB08SPD5uHHjRHt7u1T8gBR2dnaKbbbZRhxyyCHiiiuukKTvyiuvFNdcc41UAeHfscceKy6//PKGI336Q1rvxQlqUitiR0tJltT7p9o1g8qgEq/rneiDyfQ/7r9P5mDtsMOOol4RkHDCkGiEAPTT53dRmTP39vaKX156sVh//eli3/0+W5fh3fhzRxZCLiK8qx2LLiLQPSP1qyDXG2qS9AGA8IFiB0odJCn//Oc/Fy+//LJoa2sTM2bMCH5vzpw54oYbbpBhX1D35s6dG/kZtNcywauvvlr1PVBkJk7EV2Xef/990dbWKsaPX13QK331TfrURKpPQhSvH/8cG0qFoVJKirCKKAorV66UH3t6yh8pAM/Fa6+9KtZbb5rcTNL6PxIqfQXk9EUKOYiOBXpfA/F78803RL2Gd+PqIdXcq18Dus1wMcU7gRrOpK8w1CzpA6y33npyIrj33nvFvvvuK77zne9UeRJ1d3fLcJBaKODr+M9MsN+++1R97+STTxannnqqwEJnR5u8ua+84nJ5HN/85jcFBUa0SbpJlOS49QjdNoDqOOB1FUojIyRjgAqnFmS4NhRjjAxrCeREYxSF4Qr5HhkerjoOrON69OmnxC233CJ22mknsdtuuwkKqMp5WNiorke0cIBmHLgO+udZYziPXxou9FyJEv6zviIWlYa5i+RYSiPBp0ODA9ZjmPx+kwjHIJuzRkYCYlwqEZ2rOkRHe1vjkr7W1vLbg0n5gAMOEI888kjVzgZIHaiCiuwBSVytYiSpfmaCP86/SUyfPr1K6evrx1F/4IaG14L+rjD5wL+VPX0yhwUbPT29wee9ff1ox1A09N3fyp5ekuPo6QnvJyBmFGPAccAEB+jt7SMZY0WlUlSONzhYt9dcnSP1UT8O9QxhYNH75YKaDz5YTHaulHUSPOt0Y/RH7gGKcXSy1NuXfv/6XJ+VK3vJz1W06hX/WdefQcpjgbkw+Nzympteo57KMyg/J5p79XuXaox6Q2dHm+gnrpCvyerdP/3pT2L33XevemBnzpwpP77++uvB9xcsWCBDulCxO2nSJPl1/GcmAMI3a9bsyD+K0K4um1OFY4pwni8CUVNYIl+tIfqcPj3Bni68O7RKXHP9/qWselXXpJ8oD05//6D4UPXA1s8RVSHHkF7IQZTUr665ru5jq+304d3ya7ZV0gXIwrsF5PRFCjmIQq9sCzM6qEnSt+WWW0pVDwozYBIAEgj/jj76aLHffvuJE044Qap4Dz/8sLj66qvFF77wBfl3hx56qAzHLl68WLz44oviggsuEIcddpioJRSRg6O/bj0n9RfRvLyIXDg9wZ5qcisqN/GFBQvEJZf8Qrz77jvkPpOUlaJhgRBlkjpttageHqPsv6sbvFPlJ0Yra/HHgPOk2z5RbPDU++7q7EocE22cCOkLVT/UMSLmzAWQvjo3xq8n1CTpmzx5srjpppvEeeedJ1ZffXWZWwdVuxtttJG49NJL5c0C5d0Q8j3nnHPEtttuK//ujDPOkJW/8HuQq3PUUUeJAw88UNQSogmyBSh9hIUcEEpfvnw52evrRI+s20DEnJlmDJ1YUFVyRpQ+wmv+wgsLxIdLlohX/vUveqWPMMyhFL4ilD75OcHCGV+M6ZQ++t67kRZpBGNUF1kQWLZUnkGVdw6ET6V11F0hh3YNqNapqNLHPn1FoWZz+j7+8Y9LtS8OCOOCcXMS4GH7xS9+If/VKopQ+orqvfubq64Uy1csF8cc8zWSCkj9vZORvgIsW/SJmUzpK8p6pkKSKMMx6rULUfoITWGplYw4kaQisEX03tXvJ4pzFb9fKVT9QOnr6qzyHkQdpwCfviIMuSNKeB13eqk31KTStypDn2z0HrmY0F+XSvWBvBvoLgELz4oVNGqfvhsfrOPwrr4Yk02gumI5OEjWwaS/olpSkj61GaL07lJkj0odq+7rTKD0xZ4JCgILSpV+L1Fdd2rj5Pj5p1D61DPY0dEZGExTzL/6NYBzRZEDyTl9qy6Y9BWMyI1OtDPXlT4qV3jdCoeKvBbS0qiQ8G4fuVKiT9JUYSWdwFJN0nrRA1UoUSd7sCgX0YeVgsjEQ2IUkYP4uSEjfXrrSIpzFZujSHL6Kvdra1uraG1rIywYiR4LhdpXBCFj0jc6YNI3muFdghs9XqVGRZYgn486H6OIsJJOloaKqN4lU/roc5Z0YkG2+OupCYMDJIolvKa+UFKQJRgjmgtHkdNXvsYqfEihWla1FiOqRKZXRQsI71aeOWgg0Fq5JjRK3yA96dPeN1xvajNrSgPzp//5lLj++uuYWFbApK9g6A8TxWIDD5K+UFIt/r29mi9cAUofVeg1MgZRtZ0edqOr3h1KLewgCYsWUISkt5bDHkO/ztRKSdLXOGOUzxW0qFTzCfb9q+4rPS+NWrUkOVcxokRJYtpa20RrK53SFyewFBW8cbcEinkrWixCR8geffRR8a+XXxavv/4a2Rj1BCZ9BSPSIJ2A9BWRsFwV3qVS+rT3TrUTjCuhFJO0rsAUkZtIRfYhZKzuX6pJOp4qQDFO/LnrL4L0EYSq1bkZWyF9FIqMej2pXlXM8mkqkYlD4UGRRRdh9a6m9LW2kKXXqPOv8gZplL4CSJ82p9MWhpWfd9PuXKs6mPQVjIj/EQHpiy9oQ0WEd4kqICPGyUTkNb6jpVgMdJ8+qvBY1XEQnK9IQQqxSS8l2Y8vkvr1wUL8fZOELCvnqrurOwzxIj+LyqMPCJ+q0CepRI5UchKeq0rnJhoFTid9bWTpNWoc1W2KgvRVK300Uamkz6nG6WXSJ8GkbxWzbIk/nFSkL6r00Ycsi/DpoyJL8UmZYldbFd4luO663yCdx2T0dSmKOeLWJqoiue7Cu5VzA2Sso6ODRLVU9xWQvra2Cukj9hyktLfpIiR9RSl96lyNG7caoVJNX8BTVCGHmkNY6SuDSd9oWrYMFBDeJVP69Jw+evPOosKiFGQpTipIJtCqQg4KpY8+N7GqyrJelb4YWSUhSpVzI0lfZyfJsagWbC0tmtJHTPpocgbLrz+mewx5Th9U7lLl9EHOpiKw4yo95ovISaVQ9uPzO4XjgDxfleekR1uzGhlM+kbVsoWA9FUeTpV/Q0b6tKbfdDl9RXTkKCC8G5uUKcJX8Z05Rdu6uN8gRdFLVXiXQumLXQ8SpSR2H1ESGej12hkofcjhXU3pa29vIw9V0+X0lV+zq7srseANtZBDU/qGtBZ2mGMAVqvkclKSPpU2QLNpoX9GIJVGXWd9zWpkMOkrGJEG6QS7J0XAxoxRO1oasqTvmqjyu4pokTZYYC5cc3MzWaeJavJan4plfANBca7iJsYUpsZVSglhyLK9rU0aApMofUFOXwtZeDfeQ5g6/1EBO7c2SvraSOYTNQbMJWPGEOb0VeYTNQbFxj5+namLRVjpK4NJ36iSPgqlr588Ybkopa+Y8O5QpBIOO7wLC1o8B4ckpy+2uMSVJgzECQV1mI9qjL4ilL6YQknpPdemhXex55Qwp68tCO9iq6/F5D9GCzkoNpLq9YD0tRApfYG629YuOivt3iiVPiUeUOf0lb+mrQrnQo4ymPQVjGiZOl1OX3eg9A3RK30FGA5TeeipiZrKykEPiapqu0Iayg/Wp9JXXb1LF95V17wIpY/SsqU9Et7tIwnvAolpq4R3sdXXIkL6Qf5jR0cQssR2BNCrd8Grj0bpU9e8TXSqPE5CU+4iSR/1GFzIUQaTvoKhTzQUZqqqkra7krAMIQzsBFl4z/quqYjwLp3BbYz0IU/SquIVJuiODhUeo2uXFeZy0le9kmxaYgSMROmrHMf48eMJqx8HIiF90urdNkqlrxwCbYVCDqLwbhFEXyfIVEUWevUundKnxmgnI33l4ofBiHhAkX9eXexEbAU0OEhqDVMvYNJXMPSbTn+4sKAeTrVDo8hdgQlUJ5JFFHIAsM+V3vGBSulTEzLkXAU5URQEIKZYklQhF0DI1GsG4XYSpa98HOPHr07o0zcY2XxRnitQ4JTSh61ahjl9YfXuYB2SPp0gQ29cCtKXmNOHPcYAvdKnv+dVKbwb95dtVDDpKxhxUoG9M1cErLuy+CeN6Yu4TE5n2UKr9Omvp3J9sMmSUsdggqa0vFAEOSSvQ3WZ0xfcv+p6EOb0jV99dfKOHN1jKsdBaGisW7ZQ+fS1gE9fYM48QGxkTRfeBYLcRqSGB5YtrfoY2CFkrWI7UHexr3n1vEhJ+tRx0NjCRF+zh0O8TPqKRrX/ES5hUg8O5K4EoT7kkKXy6FOvX1Q/WWwbEvX6oCopc1vsMQKlr7ODlvRVjqUzCFPTKWSklkPKT62S/0hRvdsfD+8S5vSNUeSVOGQZmDOjE4CweheqhCly7qrVXYo+r3p4F5+Q6Wk05fAuDbGMXvPO4N7CPBa12Ybj6KjMWZTVu4GaSHLdY0pfD5M+Jn0FQg/nBrs05IdJTQod7SHpw1av1G5JhcdgwqFoLUZd1aeHY+Afxc5cEaXOjlDpo/Hpqyh9nfRKH6l3V2XTQln0Eih9FdIHX1N5tqnwLqUNiczvUpYtVD59LXRKnzqOIDWBPKcPfzOskzu9T/FwJScS36anXR4LRf/dULGEkH4HudLXXWAIuYdtW5j0FYlorsRY0vBuewfNjlbPi1CLJl1xQrxbBrLSl0D6sAmyIkoQfgsWTZKOHEPkOX1K2RtXMYWlyVMrjzG28nxQ+vSpTQsoNFQbCrWgURYhweKvKmuxyaVeIKQKObA3LYrYqzmRIndXJ8gU+XYqdww2RFC8E264kZU+NWdVCF8Y4u0n2QzDOiLHRb7mugCilD6azXD0NXtZ6WPSVyT0ySyQtJHzGNTCrCt92CEG5dEH+R5qJ0hhNK0mZT2MgQk1IcN5oiLIKscKEu1VeAybyMAEWpXTR0AylIqk2j9R9FyOh3exlT5QpNXiMnbsmEC1xN58hUpfGN7FVBPhOJS6DqSvpbnS6xW5Ul8VckC4kooABNecKP9Rf6Z1pQ+TkOkefQCq+UQ35Fbt8QCYkRb9WKhSUiICiCp2IuzEotDDhRxM+opEsIOK5OD0F2BNgBtiUBI5LGiUNiSDCa2TcF8/NJ4NwrtEOX16IQc2kQGlShGKIKePpHq3fCyrBSbTdDl9QXgXmSDrzxtsWDqJCiDi+Url7+Fdd30Rhnu3uaU8lY8M45I+FZ6U4d3AsgVbvYp6i2LbTOk5g0Dyg+pdxPCuOk9qExGGd4nMmStzSYu67iPDJD2Eg/Au0aYIrklXUCxC75fZw0ofk75RIX3arpmM9EEhRxuV0ld+cLoIlb6IVxRRrk8Y3qVT+ooI7+rnpatCYrCvOVwPda8qpQ9bpYbFXp3/ILw7QEfCywU8qn0ZzaIGrx+030O87opUAuFTZAaAnVsbKeRQ5sxUSl9F8cEm++FGuEOeK4oIiFJYmyuKK1U+tVKu1AZS3VuoSp8q5NC6sODPWeH9S7UZLr9mNHLQy6SPSV+RCHMlNKUPcXej5yaBAkdFZAKlr4tO6dMnMbUTpKrebY3k9CF35EhQ+rDDu4GtRgt0TWgnsp4Jry9VTp/+ekGeD7rSF/omAjo7aapeg3w7eW+1Eyh98cW/BV3xifr0tYWhROQx1MIMz0hYJDRI0sUCoLplYD4jI5X5SilvoIxSKH3V4V113fGUUTUHwmZYze8wx6COEZhMt5GZfsvXrDxz41cbH3GeaGQw6SsQeoIs5NxhK3068YKFhsorSuX0Qdg1VPqwOwHo6lUXSc5HMLlFwrs0HTmA5JMlwmv+YGFlIjJ5rVxf3R4Em+iHyfZt2hgDZEofIFD60MO7KkQGYVH8Igt17uNhvmH08G7Yhk2pSorgUHjPUZwrPVxZ/khg2RIofRXSR2QArZ+r8ngV0od43fXzpTYs2M97xDmBSEEujzMQKTrsYaWPSV+R0MOJEH7FzpUIW/S0ycmnhdinD5Q+Ovm/uhMANpGJOujThMIVWZIdOciSosP7isx6RlPIqAiZnpoQKJbY5FWR8IrCpz7i5/SFqr5SmDDDV3qHCVKlT+X0tbZq+WMjZHnIFKqoer8tipARVO+q8x6Ed1uoCjli112RfcTrHqxTreV1RM0pmM+73qc4CO8S+vQx6QvBpG+0w7uIpE+FRON5JfgdOUKlLyAAyPlduleU2qFT5fTpagz2JK0WAwjDhAQZ+zhCgkyVSxRRLJVhK1HleXnxbyOpelU5lsrXLmhlRZTTV7YDwg/rq9dShJI+p69VI5YjZERGv+5YUCpY1bxIMUYLsdKnEWSdyKKGXmPKaDBvIT7vSTl9lD59q2menCPI92+9gUlfgQgsQiBXIjC9xM3pA6gdeRtB9S4sKkr16dKUPmyT6XCxocu3U8RID4vGW7/5Qi3COumDCQ+TyIQ5OFrPT/TwrgqL0nUW0Rc0NQY2AVCKnmpbpsgfndIXhq8oqncVoQxCr1olN2pOX0srSdFANFStnSvEjZGaFxUho0h7UUqbImEq/5EuvNsWIbKY10S/d8tj4T/vUSWcZjOsny/IQ1ZG1r0NbtvCpK9ARG50gurdMMTQTKb06a8lF2eCMHU8FB4kXiNPCno1daj04fvCxUmf9NVDbZuUkNNH5DcI4V0ql361cYANkTK5xR5HKXrgmyjHImhaH2/JFbQvIyB9geJTUfoAmEqGUpFbYuFdTGIZFqV0kCh9ipA1N8XnRczwblRNhHkLe4x4OzlAcE0wc/oq7znwHFQElohYhlZABJYt2r2lPEx7GzzEy6SvQOgkQyWQ44Z3Y8nEJD0my2PArgnGCRVL5PCupl4Fu3/kCVTvyEFFltT5gskZFma128Q8X2EVMmVOX5gLF+7M+5EX/+iCRpHrE180KdIs9PcbXdQIrnnlvlXPPDbpGw6qd4GEh8QSVanWQtUhQR4gU/pU2BKV9MXCu2RKX5C3TZfLGeb0Ve4tQi/AaE4fRdea8N5SRuk9DV7By6RvVMyZoTpRhUXxJrdSvIKMIL9LV64AVH6D+qKmJh/sRN8w3N5Gn9PXXCZ8FKFRPfFaJ6+4uXDVPYSxFcuwkKP8+hRmwMH9WzlPrQS5cEpdKOfBNRPlqUWfQ13pw+3OUB3exR4jqZADs1J/JHVexFcTW2JjwDOCda7K3qXRTUtYyIFv2aLIcdDthUjpU8eid5mhGEdZf/Ww0ld7+Pvf/y623XZbWXEzc+ZMcfHFF8vvP/LII3JyA7d+9e+ss84KHogTTjhBrLXWWmKNNdYQ3/jGN9BvIIpCDsywaJpBKE2VWvnWochNTLMNwK5C1k1IKRbmSHGNIskU6pUWjlHXHPu6h+Hdcns/itCrXsgBIAn1KbJUeUbUdUFd0GItuULz2QGyzRdsKJSKjBreVZ0mZHiXJoSs5yeSEOSq6l18V4N4eJfiOdQ3cm2EhCyYFwMvQIJiEc2eSY1DaVwv19zKWjVIkDtYTwjvzBrBkiVLxL777isuuOACcfDBB4snnnhC7L777pL8vfLKK2KvvfYSN998c9XfXXjhheKWW24RTz31lJz8PvOZz4gf//jH4jvf+Y6oFeiyucqLgpsSHiZ9F+1fKRq3JhgkCFfGlT5kGxJdvWqjUvrCsCgFQYYJOiyuUbk+dEqfXr0rvz80GJlQsaxnlGIJeXDwfb3VmA/UOVGTc2h1gkiWYs+IWjRJqh8rzx8leVWkVd1jcP9iEoAwvNsakErMUJ9u+huv2saCev0mwlzn6vBuWdlXarja5PtAPydBWJ+CkMXDu4RegFAkAucJPsJzDnO8yr3zBZwTNZ/DXBIUIo3UlhgkGl3pe+2118Tee+8tDjnkEHmRttxyS7HrrruK+++/Xzz++ONiiy22SPy7K6+8Unzzm98UU6ZMEZMnT5aq3+WXXy5qCUkVS5gqWZU1QZBMPIweVlKLDZVRb0jI9I4GRDl9WiEHTBRYi6Y+EcdJMmolnHauIm2mEM9X0E6ucr0pwtQq1SFQ+gg6mISLM6HSF69+VD5niMehVH1dfcPO79LD95DTp/J45fhIBKA6/5HOskUR/NDVgKJ6N0rCy+PjXA91j+oEPNi0DNOFdynIUvwZUbmcuJ1YwteCNQT7etQrak7pA1IHBE5X/u69915x+OGHiz//+c/SV2uDDTaQD8BBBx0kzjzzTLkQPf/882Lu3LnB382ZM0csWLBATlz6DjUNr776atX3JkyYKCZOnEhwo5fDY/CvTDJGcKvUCHe0wWJTGYOq924YegVCppQ+mo4cMLnFwzH6YuoKnUioaxJ25UCsqI7tzOFY4Bgwc5aC61FR3ygqeAPvLlXI0UYfFg06WWAuaCrZXrX9IkhUD8PU4b497MqBSzLKr90anDeYs7CUpSC0qxQfikKOUnK3DNQ2bLFikfJ4cI8NoeXbxVNr9M9pCjlird6obWFWrkQVD9S9pZwAKPIf6xE1R/p0LF26VOyzzz5iq622kh/nzZsndtllF3H00UeLhQsXigMPPFCccsop4uyzzxYrV64MqnMA8Dk8iBB+UgasWdhv332qvnfyySeLU089FT1U0t3dJTo72oIJtLWlSX7ti9YgrNsiX6+7qzN4WDFevzxGU0As4DXHjS2fc3hYscYAlErDgS/c2DGV3rtDg6hjqBZTcJ7UxADXA04jxjilkXBR6e4qN3tXvV7h+LCOpVRZ1OC14TVV6LW5Cec4KqOUx+hol68ZHMfIEN4YpZQxSiPBGL5jBedKjVFRXmFsvHNVHqOjvT3yHML9hjVGU+V6QEGYek21OMM8gDFOX+UZBIwd0xVsVAFtrclj2I67TB1H5Vx1EcxZ8BwAYPMIrzmmuwv9eqgxQLFSrwnzMPAOrPl9pRY6Vq+nUiBA1zAdI+/3lAI6Zkx5nVKb7uZmnOOIrIVdnZXnsBL+1p51X6xcUb63YD6U86JSLpsw50V8dFSuacORPsjfg7w8yOX77W9/Kyeb+fPnBz+fMWOGOPHEE+U/IH1A8nTTRajQkcTEgPAB/jj/JjF9+vQqpa+vH2d3DjdZWKnbLF8XHl7Y8fT09omOzpCwuqKvr/L6TU3y9UdKyh5kEO04eitjAIGRr1nxvoJdFfzMRFU1QV9FOWxqahYjlSJUqOjDOg75ehVFplTJcoD7BY5jZU+vaG3zz8FZ2VMOicJ17h8YioQT4ZpjHYvqlgHnSt1XcowevDGUKjI8XJKvqfLV4FyhjVFRE2EjXj6O1qADDHwNz5DvWPExlMgO38c6DtWxBu4neM2mSggONqBYYwT3bql8HABFyHr7cMZR9y+87sAgEMDhYIye3n7R1R0dw+X6rFjREyg++rmCexrrXPUHz3n8mg+SXg+VQwjzIsY4vb3l5xyugXo9VaAPx2gyhsk1UscC6wf8bkk0WY1hgsDtoTJnqUgL5nyyYmVv5N6CrZKKSmGuI5go84TBxsrpAzz22GOyenePPfYQN954o0zshDDv8ccfL5YvXx78HqgZitRtvPHGMpyrAJ/D90wBhG/WrNmRf5ih3YiVQ2XnFLZOGiGqUmsh8OmLWbZUwnxUju3SsiWo3sVtyRVWWYZh0fI4Q7jhmFiyPWAYMc8ynoOjCNkgYaI6Rf/dID1BdU4IcuHoCiDCykRECxItd1d+VNcDMccyPFdaTl8Qhhsh8QKUYyC3/dLDuwAKI+sg9FrZoFIYJw8nhHfDFmlI4XatpWPVNUet2I6GXoPjIAnvKpPpVvx5UWv1Fs1NHBGNjJojfRC23XPPPcW3vvUt8ZOf/CS4UGDf8oc//EGGW+GGeemll2Q+3xFHHCF/fuihh4pzzjlHvPnmm/I1fvCDH4jDDjtM1BLChynqoq+kbvSm3wTVu/G8EjgGtSiQeM9p+XaYnlf6GFVVlkjnKznvqjK5oebgRBdnElPu2HUP++8idpSJ2amQWJ3EqnfDNlb4XSyCxYaAWMY3X/Jz5EUtmfThFosEdkOVMSj6FIf5dvF5Ec/LMn7v6uOhFYbFzPfpCRmNOKGPoUh+MGchrYVyjMDImi43sR5Rc6QP8vYWLVokvv/970f8+L73ve+Jm266STz55JNizTXXFDvttJPM6QM/PsBXv/pVsd9++4ltttlGFnTsuOOO4rjjjhO1hPjDhD0pxHeb4eJPu9iEDbn7CbpMRH2cKJLhlSKKTZbi9jZyjEDpQ5zcYjvzwGga04csVhlOUb0bv3/D6l16U2PcysSBqKKviCWiwhCvSJWfY88nlQVYbVQo2n6F10ORPkKlr5J4p28isRSyuAF0VOnDLdSLVmzjjlE2gI5uhimKRUI1PErIMJW+sE+xMrLGfw7rETWX06fy9NJw++23J34fbpozzjhD/qtVVEnazVThXWVNQOBHFTMhVQQAcigxd+d6eFfZkMiK1MFBNB+nOIENFADk8G5SOIbETLXy/kl8yGIKGUVFaiohQ9z9p1XvYu7+VY/SYNEkGCM8DrpKzlBBriYZWAtnXHkNWi4i5jUFNlOVOUt/HtEq9WNqoj4emjtDbONFQfT1vspxL0DUrh9adyoypS9OLAlU0XpEzSl9qzKqbsJW5PBuMLlFrQlocvoSFhvMEFmKekWjAESVPuzwrr4QULT9UudK3U8k7fdiSgbFBBraAcVJ3zBdRw6K8G5VX1z8MdLMmfWf+UItwJTh3bjvJ8lzXiEx6p6N9ilGPo4ECx2sZyTMEdbmXmT1Sl8r4vcv6saoai3EX6uCPtuqTzErfRJM+gqCLptTtdCJL8x67grVrpkuRBZVr0hbcgVKH24hRxDejSwEFERmJOiPGg3vEhjcVqlwFMbfsW4ZqGQpqsgEeT6o+XYqLEpXLJIc6sNN6lfzhlqQ5RjI4d3wGYmTPkxD7ighg8iBOm9YqS/xIrryeLjzYnzDUh4D997SX0fP25bjoxaLRFMHlJqMmfZSFUImIK/1CCZ9BQEe2Kq+iYHShzvxhKQvfH28vJKETgDIVYO6eqWIWEBkkFQ4PYwRtORqJZqkE9QYFQLEGUctzjS5iUlFQhRh6ngOJIVxcjzkHnaYwFRew84JVEpfPBROYs6sjkPP6SPKUwvyOCk2qkn5dqqgCj2fWp8Xcc9VkgF0qLhjEf3wvgq7fuAqlnpBXugtiXs9IsUilVQU7OejXsGkryAk9U3EVvrSqtRwixMSwhgkbXrCQg79I5bSF+2WEZt4sHb/iSG4Vrr8LsKwaHzhpFB34xXC4WaCrhBJfcRM6ldqRSupmpik+tAofdGcPlzVp+p6VOZGynuXggAkhnexIzkFVAiH14POpkevmI5fd4rwblhFz+FdeR7QzjAjE3poN9hBVSZTtJyPmEWIrgLg2cKkK30UeWqBhx5BwrJCoPogK0uJ/TiVdyJqccJI5LUpJrdQhYveW5jqblUhB2EuXJz0yfGxiUyg9OErDPENHmVOX4QAIIeq41Yn6v5CJeGJ5wqXXCaFd8OwPnKhXkTpwyX6iTnbhHmDodKHPy+GxSLRwskRVvoYRSAwIdXsR7BDffEdrap6xc1TS/IHwycAqghBqZXY5p1JfXGxlb6s8C5uWHQoUenDnNzi4V2S44gV1oTGs3RKn67MoJGlFKUPl4TT23dkeQHi5fTFSXgr+vUoxcyZ9fFIw7vI82LcNqk8HrIBdILSh02W9PdarfQRWLbE/DKHEeeTegSTvoKQZHSK/TAlTTzYlZyZoRKKpt8xg1CsnWDioolsEZK0a6asSFXvn1RZiod3CQo5AjUR+Th09Sg0Z8av5Iz724XV7RTklZDIBIUcSSFkmjmLgoTH8wZprE6SqneRc4QzfPrwbGESQvrYERDNZFpFvdQ6hepfyoUciWDSVxASd81BqI8wrwS5TU8WWUJV+mIGoUGRBXa1HaGdSnJOH+5xyNeqHIuaqLEXm2jidbSyFjWnL6ZkULUp1MfQKzmxxokXclBWbCcqfVjHofwGE8K7WKplPKSvEwHK0Gsrul1WUvUusmVLVt4gZfEZurobrW7XP0ct5Kh4PYaWLdyGTZ4HtDPMMCxRTwqLIk0KpSQVDntyo594dEUmJDIqB4ewIIUo5KPn9FFUqandcUCWkCdpPfG6KvRKEEIOcyyRVSXtvSaHRbGVvmieWnkMLAKbkC+KrSxlpXJgbyIjhAw5367yHDTphIxK6UsiMmjnKimfGpmQBdW7Sd6MdMIBheNA0Hu3YgDNbdjKYNJXEBLNVLEtW5J2m1REJmHioSiyCCtraVRRSjuVuO+c/jkWeY2GLOOFHHT5j4rI4FrPRIk4ugVJwnGQFECohTNm2YI5RtJ8gt35IwjvJqqJlCFLmqKt6OaLKKePUulLCiFjh9sT0wawn8OkKAsF6UvrgDUsGhlM+gpC0Oc1YddMmUxMFrJMmniQk7spzYCTyCv2TjBxRxsoffTnCi2BPKHSGftcAXkNfRNVqA837KpfDxVC1MfDDl/FCznI0yyoLEISzJmx1auoQoZNlqK9d/Xx8DfcSblwlKk1VMU7+jXHJpYJUa9A3UU0Zw46csTaIY5wRw5GASjCYiFpJ4iv9GUUQFAqS8iO7YnkNej/SBfexW69l0T6sAs59Mk+sBsi8gej9AJMUsf08bDGiSt9OsHEV2QSNi0FEEu0MHXMsqU8Hu5zGK88p7GASigWoSrUS+r6gW7Tk1AsgnxfJYkTmJGDoHgyVgw4zEofo9CcPspm2QnhXfQwRsbOHN8gNFRksHPhksgr+iRdgGVLdtsk/HBM6NJPR/qq2pdhXw/t+dDHwzuWqNKHXSySVIUsP0cm+8nRCaJrkhBOxFP6SukdOYYICRlyTl+ycECkJrZSzouqbWSC0ocY3q3ugc2FHPI8oJ1hRg0QgAISlhN25tgNuROTorFVuMxqauRiEcJrntg2iSi8m6wgU1TWKjsV5DESrrk+HnorKz0silgskpTzKj8nU/oow7tJz0iFACD3k43m1uJujJI89OgIctLci13IkZSzjZv+ELUWq8y9iKQv3LRElb4RVvoYRSBxB0XmCk+ZN5gQxkDe0QaLJmkVcgHh9kSij33NkxYC3HBlVngMO1ypW3Zgty9LUndplNEET07EeyutChlb6QtCfYk+fdhdJhKeQ2R7puakCAiaf2m1YolNwpO9AJErz0eKrNjWSR++OXMQXYv3wB7hnD5GAUi60dHDokmEjKpCmDDkk0SWwkkaeXKjtGxJCCcGFcJD+EpffAzscExiaybsDQshCU/N6UMcB0KvSfZMmGpiWhUyutKXdG8VoF7hz4v0odekMfDD7UnejDTXvJW09V7Ss45byAHnI14Yhp02UK9g0lcQsjtAYIcYKL3nqneb6IUcSbvNAggAtsKQdRxoE2jGzhwv9JqkMBBdj4RNEVYf1mDR1MYof41X1ae/RqLSh3DdU6uQC8jpQ0/qT/QbpPHpSyzkQCsMS2qRhpzTl1R8hp5PnbRhoS8WCcO7WJvh8LpSmqTXI5j0FYTkiqUCwrvIqk/yLg2XZCR7GiJX9CUQAPTrkXGuYFLSTY9p8q5wFYYoIaNS+qorE/Wfk+T0IR5LUjN5OQYiEU/KedW/xsu3i7aTozCyTvKypLq3KDctSeHdcDOBPb83kyl9QxnKK3rFNqHSp55D2BTFc4RHOLzLKAKJu2Z0U+P0CRS9ACJSyIEd8kknr2hWJ4nJ3TRKSRJZAqCoV0EIrvqa4xfWJOUShWEUynOFmQunnyv5NWIyvBpDX2z0MTGuSWoVMnJBVUAAIn1YkQsHstJesNVwUtKXofSRFnIgryEZxSJ4m/oEc2atCwvuZri6wG2YlT5GEVA7j0Slj6CRNVmrt8A2IKmQA3niiRS94IZjso2TscO71ecKa5ysxGtsq4gkhQGfkIWvi+1vF56rULnCJhl6Fwv9/WMmkSctmuWvkRXepEpOxFC4HCMrvwutkKNU5WqAn56Q1ZEDu4o+WYXDIEsh0ddSE7DbFGakvcj3gDDHx+1a9OtRQkoXqVcw6auFnL4hwt67gQ0JZeI1/e4/aNNDGQonasKelDdYHgeDZCTdVzTKK6UKl6QmYvvbJd276OHdhMpdfUxUpa/Kega7gKc6qT/IGyQ0zEa3U8nYfJGGd8ksdOhSIBJz+rAjIAmFTvrzgjMvRit34+ONMOljUCO5krO5AK8oolBfwo6WtJAj6MiBvdhUq6KU4ZgokSFS+gpY0PTrj6LCpRRZYBKy3PAuarg9TsjwnpEwDy6u9BHl9BGGd5PuLfxuGUmbFmRVPyE9gaozTtomkur+RSevCSbT+ryIovQFBunVSl+jh3iZ9BWEQFmK7DywwxgJu00tV4IuHEOjMBRRvZus9NEdh/41hqKYWMhB5KWmL2jYKlyS0ocdWkpSXvUxC1H6MBbmhIpXGoV3dMK7VHZAeu9dTCN2PVyYmFqDTJaS8qnL49BsItFtYRLy27GLOVQVsKoKpjhX9QomfQUhybsL306lCK+orB0tXRgD3ccps4IMWbGMW4QQq1fYNg4hWWqmV+FSzxUdWcJUeFOVPsRrkrqZQM7lTPSARCcyGYUcBaQnYCiWei5dYgiZsNI5ql7hKX2JNj3I4d345gvTtiWp8hx7o1qvYNJXELKMerFNL2mtNTLyY7CPI1JkgZybmGgGTFMJlxqGQyQAzQUvzNhhuCTLFmyPsLycPozzlar0ISpkaWHqUOkjtGxBN+pNClni9mEtJeU6B/MJntpeHqOI3NrmAjaRekQqLIBAqaxNmHv1MXELOZLTLEZY6WNQIytkiWVImWyi21rgrplOIQsbciMvNqTnKiWHLJjc8CbpqIM+TZg6vtiE+V005BW7zVR6uB0xvBso+q2EqmjaokmfnlCMqo+dm5j0rOPdu0l9o0mNrAk3LSHRL7ZSXydoKGkvCf2v9TGHOaePQY2sDhCU5p3o6lVmr9cRuuoubJ++TBKOZJyckIND5dlG6aGXZNMTDSciKn2pKsYIHbFELHYK7quYwoDpBZimIGOrGInPCFF+V7T4DHvOylL6MO5dXelLIpZYpsbVG245DuJ1DzcUdFWvSRXC2P13kwo5KGx06hFM+gpCUvIqvtKX4KGHXshBu2suj5EQesXuIZxQQaaPh0KWUtUrPPuZRKUPvZNFNnmlClMXkf+oj4mxaQnCSlVKH6IXYG6uKE6eWnBvRap38QiGPkb0WcfL39Xv/0Q1EUVtD0llojcjdgSkKgUCj8gkVmxTVerHn/UgmkPj00eRilSPYNK3Cil9YSFH9c4cmywlmgFjhXwSrQmIQq8J5BUrryQ1vIsZxsi4r/SfY6cN6OOgVO+mWbYgdnsJindSlJLhQpQ+wtzEQIXDG6M8TrXtBQZBjhZAJOUhY1SFh6/R1ESTh5ykJMox0FvWJSt9mMbfSW3YgMgqMovzrKeEdwnyLNOekWFW+moPf//738W2224rxo8fL2bOnCkuvvhi+f0lS5aI/fffX35/2rRpYt68ecHf9Pf3iyOPPFJMmDBBrL322uLMM88UtYIibEiS8tToWotVj4EfVmom71lLapyctqNFnHiSDVtx/ahCX6206l2ESTrNsgVxcc6z0MG4f9OVPryFOX1Bwyev8XEoWtZVjUGUb0fV9SPcFNHl2unjVOcI01efY16TJGKJfU3Slb5m1KhUPSJ6RmoEQOz23XdfccEFF4iDDz5YPPHEE2L33XeX5O8Xv/iFGDt2rFi4cKF46qmnxF577SU22WQTsd1224mTTjpJvPbaa+KVV14R7733nvjUpz4lZs2aJQ466KCaJn3K5ym+U8RQ4bBbiyUqfUTkNan3rnoP8QkD4zhUv1T4GapxclxZIlD64tYE6jhIw7uIKnLa7h/TDDhJQda/RiXhVUofvmKZRpAxK4QpN3h5uXBDhEUWqK33gs1dstJH6S2KfU2S5hM5hhxzCGXTkqa4Bzl9KIUc1R05KIqE6hE1qfQBcdt7773FIYccIh/ULbfcUuy6667i/vvvFzfeeKM47bTTRGdnp9hmm23k71xxxRXy76688kpx4oknShUQyN6xxx4rLr/8clELyCJ9+s9doZfT6yakmFWDemFAUnUXersh7YFFb9OTEN7Vx8QkMlV+VCR5anS5cEmdAPQxcAhZdpJ6EcorSug1RenDzU1MI+H4Sh88d9E8NbzwrjoOtUmhuB5qTtJDlPhKX7bpN7pJeqqBOZ2KTFJF35pWyIGY05eWAjHcuEpfTZK+LbbYQhI4Xfm79957JeFoa2sTM2bMCH42Z84c8fzzz8vfAXVv7ty5VT8zwauvvipefPGFyL8PPvigQNI3hLij1ZU+/NyV+BjoZqqBQpYWssQMJxaQ30UYxkhVyDD97XIrazGPI8UWBrF9WWpBCkZ4N2VBw+xkUax1R9qiSUgwKHJeU+9djGKRlA0kooJslMuJWMiR5m+HqoanFSKhtGGrFg6wn/V6RU2Gd3UsXbpU7LPPPmKrrbaSat95550X+Xl3d7fo6ekRK1euDL6O/8wE++27T9X3Tj75ZHHqqacKDKgbvauzQ3R2tAXfV2G41pbmyPdtMTAQ5rl1d3UEu6bOznb5sTQy4vX6gH4RPvBjujuDiaC7q1N+HEEYA6D24x0d7ZHXg0kBzmNLc5P/OBXFslMbAz6q89ba4j+GuuZwPfTXamsrjwGnz/98lY+jo70t8lowaff3C9HW6ndfyffZFL5vquNQIkx7W/Q44OvyGOVf8Buncq46omPAfVb+cQnhvio/Ix3t0Xu3vV197j9GU+U44DX11yqNdATPYUd7VKGzBTxjAHge9DG61HxSSn7WbY6tt6cpeK71v4NnsjyG/7nq7ysTCZir9NeCZxJrzoK5O+k4BjrVGMMo86Ii8/E1RBE00+cw63fS1inMeVGZZcPalPQcwm2L9Yzo87t+HC0YawgRYC5vWNIHuXmf+cxnZC7fb3/7W/Hcc8+Jvr6+yO8AqYMcP0X2ent7xWqrrRb5mQn+OP8mMX369Mj3JkyYKPr6B1GORT1MQ8OlyGvCRAEPc09vn2htK08SLujr6w8+HxwaEUPD5THUxmxwcMj7WHp7w3M/MAjHMxyMJ8caHkY5XwMD5dcYKYnYuWqVY8C5au/o8hoDzoccY6Q8BkwA8FHtNmEM32NR1xzOj/5aqooQrpnvGOpclUpNiWP09CKOIZLH6OsfIBtDbQFgjPLHQfQxRhCfkf7KGKKpOfJaqvYIY4y041DPobruPnmv8PdKRdLHgPkr7VlXz5D9GM1k1yPtOIZhcqmEAb3nxb6B4HlIuh4Y86JubzM0nDKf9A/mjpN3jdQYcH6iY1Sewz7/Zz0+92qDVMbwn7PUfAHzR/LcO4C2tmMCrk8whzRSeBfw2GOPyerdPfbYQ+bxdXV1yTy9gYEB8frrrwe/t2DBAhnShYrdSZMmya/jPzMBEL5Zs2ZH/k2cOBHteNJyDLBCZOm5KwS5RBkdDTAra1Md2zG8tVKqRbFyINOqBvWvSS1CKMZI6chBOwZiuH2kgET4vOe8gCpk/Xcw/dqwK4STjN71rzF9+vQ85/LX+DmvaVW1GO3L9L9vHrVCDtrq81ZM/9KUQo7mICe1ccO7NUn6oDJ3zz33FN/61rfET37yk+BCjRs3Tuy3337ihBNOkCreww8/LK6++mrxhS98Qf780EMPleHYxYsXixdffFFW/x522GGiFpBvPjtCnLuCNyFUdwIIv6YkfahVfTleUf6LZrIdhf41LlmiWwhSfcgwO4uk5lji5SulVr0iWuik5RKRVAjHCTKiiW6SmbwcE7E4Ib8ICc+nr6qYqkJmMbrWpPvn4VknpVVTRyvDR0jMsgszYqco5Eip3h1hnz48QEGF74QA3nuLFi0S3//+92V4Vv0DS5ZLL71UDA4OiqlTp4oDDjhAnHPOOVIRBJxxxhli9uzZYqONNhI77bSTOOqoo8SBBx4oagH5ExxOIUca6cO0WEhLWKYmMpgKQHqLNBw1Mc2OIjIGarEIHZEJffrSLFswbWEoffpyetYSKn2YLdLSCjn0KljvTWTg1xYjr5XwGKYVUPXij+s4kEyQEVXRHPNy/X24Qr9vUou2kIh+4hiI64h6n61pG25UY3y6Z71egZbT97Of/Uz84Ac/kBWvL7zwglTc1lprLUnKbP3nwHYF/qXhuuuuS/w+hIDBxw/+1RpSK6+Qw4lVlheBqTHdohnf0UKFtd84yYpMK4mdCg3JSLOjkGMEflTDiFWWKTtaxKrXVPKKGFZKs72grKYOVFEM49k8fzDENIv4uVLjSH9Gz3GUVxrVfJXpY9mMX1kbv3fjFlBxRchujGSfPlzlNdlvEFO9yoxOYFafD+UofYjPYfy6NiP6ZTa00gdh1B/96Efi9NNPF+3t5QocCM9edtll8nuNjizZHCucmDbxUCh9SWEMlUdIaUmBaXVCbaeS9vrye4gTTx4Rp1RLMC0WUsdA9IBMVZAJOqSkKn2Ebaz0cbBUn7ScPow8tfyNMKKamBAKD1uLDZOEd1GV1wKvuf6a4deIaRYp83uwqUexbMnzyxwRjQoU0vfzn/9cXHjhheLoo48OTiqYJv/qV7+qGXPk0URWUj+e0petxmC0L0sLJerjUHZnCHP66MO7vmNkkj5UpS+7kKOQThaF5HfRhUUxQ1e5Sh9hIUdkHCSSkUZeMYh4Wh5yuBFG2ExU7EGSok1Y91ZaeFcfw3eDl5abWP4ejgqXZsitj0GZkhIUcmCEd4PnkC7NoqFJH1irgKFyHJtttpksymh0ZMvmWIUD2eFdAFXCsv491Aqy1PZl9OFdrFBJ5sKMmbuSlpuIEt7NyX9EVBNT+5eiXvMCOllUVT/iKX1pYdHIOL6qT1oIDjF/N7ivClH6sggyUj51wmYYq4NJWj417hoylH6ukPIGy+Mk54uq+R1jU6/SmSg74zQ06QMrlfvuu6/q+3/4wx/kzxodmZVXSEQmbJVFV2QRKiVJO1r6dlkk7cuIlL405ZXqOJoLCO+mtn8iLUgh6JaRatODUb2brDDQKH1Z6tUISXiMQulLU3dxK8+byM5V2qYI8zlMmxPlGMH58r0eI4ndOMpj0Fdtt6Km7+RZtoyIRgVKIccpp5wivvjFL0rzZLig1157rXjppZfEVVddJfP6Gh36TR6XzbF2aXl5V+UxhryKLNKq7QprWk+Q05duoUOX04frb5ftC4eZg0NZhZzW3xdX9aEnGWlVrzTWMxlKH9H9i0r6cvztUMJ8KXnImEqfUXgXSelLHAPtmicX72DevxBtSs0/Dwr1EJW+1LSXYdGoQFH6Pve5z4mbbrpJPPDAA9Ja5dxzz5UVvGCqrDz0GhlpCxqu0pecu4KaTJwZYiCwpCBS4QDhxEND+rIIMq7Sl2J7QWF1UnU98Kqp08fAm6TTCznwVNFAIYvnEhWghOvf81UyTNITvIlMzr2rEwRXlCqdN5JCr3j2TFnhXZwNhVkhB5ZNT7rSh2sLE90YqWdmqIhCjhFW+ryxyy67yH8MczNVEpKRsqOFick7d8VI6SPMvULM6Us1s0YaIyvvKiRLeEpGerUoHgmvTh3AC72mbYwo8u0o1cRcpY8wPBatsvTN6UsOU5fHaJbvwZvI5Gzu1PmytfxKGiOzkMPzODLDu0hkP60KuTwGzr0Vpj9kKX2YpC95E4liL5bTkWOkgZU+FNJ3xRVXZP788MMPF42MrB0UlpKRN7mBoTVayDIj0ZfWqR+vpD91DBVu9xyjiApL/X1SdXrJtL3ArBBO2RhhLWhyjFR1F7ONVYo/GGYIOXNDgWzZEiOvIbGE+YQ2p6/8O0M4HnqJ8yJOukh26BUp3y7l3tW/508ss645kpqovcd4qlOg9KGEd/PaIY6IRgUK6QOrlvgJh4vb2dkpNtxwQyZ9Qe5K9ekOQ5ZIOX2Eyd3FFXIkj9OKfK7KY8TVxFbk8FjCuQrURETrGUIbkrBykCYULl+DONyeldOH2Yc1NZcIs7AmM6cPq5AjWUHGbMWWlTcIhKDsb+qbC1cxSU8kfUhFFhnh3XAM31B4em4iVsV2miE3brFIui1M6NM3jOeLW6X0tciPrPR5ore3N9HG5ctf/rI4+OCDRaMjkwAg3YSFWBMUFN6lJgCZ1dRIdipZ5wqL6EfCGIRh0dTqXZKQflo7OcSFINXAvNyHNb4YYXRIQVUsM+YTrJ7LJgbQWGOkRSeUeEAVesXKSQ3OVRYho4zkINkBpRXQoRLkDPKKlfai91Ou7r3bHHkfjQiUQo4kbLDBBrIF22mnnSYaHZmJ14GkTRveJc9TQ23Tk+wXFahwvoQso48levVuBgn3XQiilXBpeWqIxSKpnSwQiX6VTx/OfRVVd2lsSOB6hO2fkkPI5IUcSNckyO9KCK1iqYlmKRBD5ObM/vZMI8XlDWZtuLEKOTJ9WOkiIFiFHPrfp6VZDDdweJeM9AH6+vrEokWLRKMjML0kTJAtmUw8SDvaxCo1pDGyiAweIcvoi4tNkAmVvswwNSIJTzOGpSneIboemQnkeg7ZMBGxLKiQAyv0mqIgR8fACovS5b3mqYn671AcBxpZSimmIrFsSVL6kMYYyUx1wunIoZ6PxPm9mcO7KOFd6Lsbx7Jly8RvfvMbrujV8xgSlb5W8rwSrMU5zVZD/55viCGLyGDl9GUtmlh2KmGlKF0CuT45kubCpYZ38ap3cwtrfJUS7e/TiH7590ZIFAZMpS+tB3Z5HNz7N3HOQtpQFKL0ZeXbIUVZsoglnjlzhgqHpCYG5syEhRwq5zVx7q08M75pFqHannAcLXhzVkOTPui9G0d7e7vYeeedxVlnnSUaHZn5XUiTQlilRkdksvwGaXycUsK7hN0y8Ahy+iSN1Vs0i8jg5pBlK68jpG3YsFSMUAmPLybwdVg4MEyiMAQh0aIsW9AIGV14N8yFo0xJqVz3JsJ86swKYZzrYdLqzT+nL8OcGelZH8kM77ZGiJtrIwEzk+lh0ahAIX1QtMHwy+9CC70WQmQIJ+mMIouALA1RKn1Iyd0ZFgtYvnD6rrm60wu9soRavZtTZEGZP6a+DwuNz2KQpTCQmExnVdZ65/Rl+PShhXdNlD4sskSZT51V4IZDyDILUprpffrQ8gYNnCx8u0eFFfTpYww3cE6fM+l77733jH930qRJopGRvYOiD++ihSyzJlB0hSGByKBV2+UvBN6tmYxCyDhKXzaxxCzkoGzDllMsQtjRIFIt6nH/Zj3nepjPv0I4gyxhFVlkeYuihXdNcvqGCHvv4lbvZvn0ed+/GTl9WAbQJl0//E2/05U+eCZgbHgfPgbNJuHdEVb67DF58uTciUtNbo1cHh0JjxGWwqctmvJ7yGpiktKH5jxv1LJuiLCdHHICOWUep0FOFGohB5EKl3UszehhpWTSh5F7FSivGQoDwIf06XYUyZYt6rpj5fSlh3f91Sv6TUuWvx323Js1L6Ldv4RKX6ZlCxbRz9iolr/fWiF97nO8SXh3uIE5iTPpu+uuu3DfySqMTKsTJAJgUqWGpfRRPkwmIWSsQo5ilL50w1ZVqezaZspkZ16ECudLMPSK7epqO6ROABnFD3IcBLIUdOPIuB7l3xt2vub6optIZNAKB/Krd9HU14RzEarhnsSyQpCT50XsKEvGvIjUkaOIfOrEPE7sFKGEMZRty8CA7+YruQUbZnV7Q5I+KNIwAUbz5HqHWTimgGTiAvIGsUI+maFwpAbpWTmWWHk+WaawvgTAqPoRsbI2rVgE696lVPqySLgcB0HhDXMss5W+MrF0TVIPz0MRnROKUH2yzd59TdLp85AzC8OwrE6yoixYhRwprcto0neSn0MM25YslboFMSWloQs5PvzwQ2nb8s9//jM4mbB77+/vF0899ZR4//33RSMjS1nCC4uamJBShhPp80qwcuGyVThskpFOyMq/51OlZhDeRbXQoffQI/NNzM3p81+c0/ruVit9PnmD6RXCmEpfFoFVLc1InxHkzXB2BARpPsk0Z8ZR+jIrUpGUviLUxKQxdINmHwP+zJy+ZpzIgWh0c2Zot3bppZeK8ePHi7/+9a9i4sSJ0pT57rvvFscdd5xodGR5XmFVi2YbnVb8j7AmUMKdYHYuHC4BoGyRlqWK6gs2BgGgDO9mhROxlRL9NcMx6T3h9O/7LAZBWClnDJ9jyTsOtCrLrI0RUsgyM0+tlZ70YbkBZLanRFb6st0ZcK55VnoCVqu3JBVOJ2o+XVKynsMWxCr6hlb6gOhdddVV4tOf/rR44oknxPHHHy8+8pGPSDL47LPPikZH9g6KvshCTdxoSh+hLUxgG5AVevVuw2bQj5PQFkZ9H96Hj8pQRHg3W4ULCZlPcUKWhx620pemMGA0Ylf3TJLCoMaG9+FzLFnGzCTdGTKMev3DuwXkCGfmwtETSzyrk6xNPZKFToHzSVIVcrTVJs1z2ILol9nQSt/KlSvFZpttJj/feOONxeOPPy4/P/bYY6Xa1+jIqlILdpsjhGEMJEPK7IRl5NwVSnubIia3jHOlj+NjTVB0eDfNcFh/L1RFSHqxB3Y3mfI4CNW7GcUP5bH9F+f8nChspS891IemXmV0y0BrT5lgzoxtWk/ZZ9skp8+7W0aQx0lXsZ3lWasrgD5KX1Y7uWa2bMEhfdOmTRMvvPCC/HzOnDlS7QNArtKSJUtEoyNUrzJ2gr7KUhbpQ64Qpm0FlL6oobdIy8rB8VUT85Q+1XLIK4csQ0EOFgK8zUSaCqe/F3TFB2mM3OuBQJbylD4Mi5usQicsxVKfs1SOFUlFqkFOn39B1XBh7Skzu2VQFr2gEbIKWcqoCvdVE02fQ59oTmDOzIUcdOHdww8/XBx66KHi17/+tdh7773Fpz71KTFz5kxx6623BgpgIyO40bMcwknz7ZCKLFL82srfQ8oryXLpVw763jk4BkofdeEAwqKWlYNTREGKTpox1Kus6sfyGHBvNaPfu+Vx/M9XntIXEgCMc5WjWPpuvobyw7tKRXMeIwjrEypkJjl9hRSL4BBLyuhEuE5lFXJgqYlphRwqvOtB+jILqlrkR7Zs8cRRRx0luru7xeDgoNh+++3F//zP/4iTTjpJrLfeeuLKK68UjQ6jcCJSiKEIpS/LH4yygiwM7/qaMxtMoFgEOW1xRvADzFb6cEh41n2lO+j7jJPZsq6iMKq+uGm5QL45fRhkKbC8yFX6MBTLFPKKENbXQ+nZPn2ESh9arnMWIcPu5Z2luNM9h1jFIllt2PDD1DlKn8/my6CQY7iBlT6U8C6QuzvvvFMsX75c2rR897vfFcuWLRPPPPOM2HLLLUWjI7MDBPLklt1lAieETOmgn5XzEewCCSvhVDhL73xAkXuFoTJknSu85O70RbM8Dt5x5BknY4yRVjWI4QeYW1mLUAGZ29EAoe1XnhcgVo5wWqcXfVzvZ72U78npX/Wq5sVmwrBolg8rUgg5w6YHi7yaVtH7FVTlW7aUPHOERaOTPqjeXXfddcUxxxwj1l57bXHkkUeKv/3tbxgvvUogs49lYONAGN7F8gLMSrxGa82U1bIOK6k/K2SJXJyQZ62BQTJaR6dhfXQcj3OVG3r1v3+z7l05Noo5s6HShxHeTb2vMPwGw7/NWjhH6krpayLrvpMZZSmg+hwrZBlWbDfT5Q3mtmHDyHvNT6cCMOnzwK677iouueQS8e6778q8vp6eHpnbN336dPG9731PNDrCGz39JvTNUxsuILyb3WUCKZfIoBLO27E9g8joi5wfIcuuFqVW+sKFAEmNSVH6cBSy9NwuOTbKucq+Hhjms/lKn//CmVf9iOn/mGYAjWVDYtIZBy/tJaMgBWljlLWJxKqipzxXoWLZShc5yBBA9O/7PIdZm68WpMIw0eikTwGqdffbbz9xzjnnyBAvVO7C5z546KGHxDrrrBN8/cgjj8gLN3bs2ODfWWedFShAJ5xwglhrrbXEGmusIb7xjW/UxIU16gCBJP9nWbZQKn347bKySR9KXlRKfoyqUkUJWea0G/Kp2s4uEMJSd3PCuwjhxLyKPhRV1DAs6lXIkav0+RPLQAknXDTDIo68MDVl/i4W6cvovYvVZzulN7X8HlboNWvu1ZRXv5SU/DZs1H6ZGO4JQSFHwhhNmgOB75orGp30QQeOiy66SHz84x+XCt8NN9wgzjzzTPHWW285vR7cvL/61a9kJfAAdGCuADwA99prL7FixYrg34knnih/duGFF4pbbrlFtn577rnnxH333Sd+/OMfi9GGWtgzO0AMDXk9sJkVZMidLLLNVOlCPqpwQP897DGwJp78MIY/AQgTr+nbP+VWi/r4DWbYamAtOEV0sihU6SPMGwzvqxTyWmR4F0mpTkxJQSgayMsRxnZnSFb14xXu+OkiaOS1cj2SCBnWcxi0EEzYfDVF1hAO7zrjk5/8pMzp++EPfyhJ39NPPy0efPBBac4MLdlcAOrdeeedJ6uAdQDp22KLLRL/BiqFv/nNb4opU6aIyZMnS9Xv8ssvF6ONTBsS7XsYpC/ZYwm3kCM55IPr45SfQzZEn6dGqsggKn1Z4V3CZHu8PDWz0KvPgpN/X/mrV1nmtuUxMBVLyutRWZhbi2r1lkH6hujtVLBsYZJz4XDJUt4a4jNOVvVu4AaAVCyS2nsX4xlRinta0VYzzlrV0JYtQPjAkw9y+1xbMcXxpS99SSp499xzTxXp6+zsFBtssIG8MQ466CCpKHZ0dIjnn39ezJ07N/hdMIpesGCBUYuoV199tep7EyZMdCattr5wAGlJkRJGyx2jABPSzONAlv/zFjWqThb6973UK2NrAp8whll416dFWhjepQu9Zt27RSl9OGOYhUVJCzlQ1ET68K5ejJWdN0i3UcXq8BMeR8vopNZU+WW2eY2R5cnp39XJTHH3yxFO78ihxgZ7uVpI/apb0kehpoFalwTI19tll13E0UcfLRYuXCgOPPBAccopp4izzz5btoMDv0AF+BweSLCRAaKYhf323afqeyeffLI49dRTvY9FKXhdnR2isyP6QJbaw0vQ2tJU9XPbMTo72qteo6uzvfI7I86vr09uScfRGYxR8hpDiPJxtLe1Jb6OypfyOVeK/7S3tUZeQ32uxmjxuh6Vc9VVfa7k2O3l70FRofNxVM5VR3v1uWoS4f3e0d7qvJlQfwaqT9L7bFPnqtn9XMHfqtdKHKMtXJx9r3nSudKvB/ye8/2b8Qzqx+FzrlQRatrzgfGsq+sBz0HSa8A5TDtXpmPqC+6Y7s7g/CvAHCPhO59kXJPurg7v+0r9vXq99HnRb+7Nmt8BysuytaU5d5y0n4fH0Vn1OyPDnSjnSl2PpDVEv7dgHXAdR61TScehE06TczUaCM9BDZO+IjF//vzg8xkzZkg1EP4B6QOS19vbG/wcqojlxJVD+AB/nH+TzEWMK319/YPe7xl2FYDhkVLi68GCDDdqT2+/aGp2uyRK+Roerh5DbfoHB4e8jkdNCkPDIwljlILcRJ8xBgbU3zYlvo56YHt6+pzH6a+MUdLGgIdffa4IUm9vv/MYKql/KOF6lFFeWPv6B5zHGEg4jnD8UOlZ2dMni6xc0F953aam5sT32VQ5V3197scB56AySPIYWmGN+zUfCNacpNeAc6jOqfP1qDzn8ChQXfN+da5Sng94/n2fQ5iHlHKV9BqVR10MxOYT/RnKg56nPTg0IkZKyfOJz/XQ58Wk5xC+53tf6Yrl4FD16wTXw2MMfT7JWkPgOODatbSWiWYSsq5R1pwFx6YAY7huItUzknYcpRLCc1iZF7POFaC3z31+pwJcH7U+1UX1LjWgGvj444+XJtAKfX19AanbeOONZThXAT6H75kACN+sWbMj/zBCuzahPr88tYrNAmG7ocxWQGh5g2Y5fT7J1/mu8KrpN2E4sZXasiW8DzByyEa1yAJjjJxcIozQa34Vsn9+V27vXRSfs+zwGGY7Of31KAs5sozxfeyf9DzszOpdpLk3L83C9d7K7cKijYuRW5tb4IYQ3qXsgV3PqCvSN378ePGHP/xBhlxBPXvppZdkPt8RRxwhfw79f8Ei5s0335Sh3x/84AfisMMOG+23HU7UGTkGvnlqmcnEBXhe4VkTGBZA+LQvyyMyKHkl6RV95TH8e0xm5T/q1jNek3RQIERXOJCVE6WP4UWWCjCFzUqEj46BQcLTchPxCFlr3hgIrff0+5SmkKOUuhnGMHvPJa/I7RBTc509r3teFxa0TWTuZtg/z3LItJBjmHP6ah5wsW666Sbx9a9/Xay55pqiq6tL5vaBHx/gq1/9qiR722yzjczjAxJ43HHHjfbbzu/DikEyCmn6bVBth1UsUoRRb66a6E/I8rszYNh3pI8BEyBKJ4sCWqSlF+80019zhGrnXKUPoXNC7rnCUJAz2nFFVaUCiqmwlL4Myxb1flxClvq1TCRL6O0QaTYtpl1YyK87ZuSAcO6tZ9Q86YOijffffz/4Gqpzb7/99tSLecYZZ8h/tQSl5qSHLP3DiVlVlhgG0LAbVqGM5Kbf/gtanleU/n0vq5M8Eu65cMJ5Mm7JRaT0hdfEj/SF3UuyO3L4EcscyxaEhSBvM4HRkSNf6cNrJ5eXmuCllGS048Lqw5pP+lpR7VSam7JJn2vVqz6nJimWzdhKX1pnHCSlL60Li/o+nE+UFml5zyGG0pcy9zYj2VnVK+oqvFuvCNqX5eZ3DZHuaDFsTvTXo+gAkbcYKMkeQ4WjylPLO1fobdhSlT5/lSE/9IrQ69Uwj5NWTfRfnEdyTY39Fxu1oOWpGF5tCnOOA8MA2jS3y9s4OWPTooeWXefGUIHLDlP7K315OameSl9OFxb9Zyg5qa2UbdgMN18jTPoYRMib4DAIQKZXFGI4hrrVW24oHCF8lauWeI6hk/fU3SYqkaFL6s9qWVf+PmJhTaqaiBHezVs0/Qly3mKD2fUjLd9OGSpj5Knl+vT5zCcZvcL1sdGUvrQe2J45ZFnFD+VxcXKds3K25TieG7y8nFc5Bkq+6BC5wpvVTg6zH3K9gkkfMWDyNc1f8dudq8mtiaTVmz5pZZmpek9uOSpcoPR5tUgz7F/quPtXiz+cp7RFDVPpy1Ms/RbnnN67qPmo9IUcacndGGpiqLbnFUAghJBTlb7w+67PSKD6pKkxCN0ZTMO7eMbJeWbvQ57FbXT5qPrfpz4j3kpfPunDUMNzj8NT4dVTayg749QzmPQRIy/RF2uCGynlK30AV9KnV6MmhzGwmn5nE7JgZ+5B+vKIpW+IIW/S0X+GQfpSq9QwcshMW9YVUACBUpCSR5B9qneNlT5KpSRanOCCIcP7yq/rh2FPZzSylLL5am3zI8haeDcJWLnOeYqi7+Yrr98yntI3ktniz/c4zNbb5vJ74fAugwJG+V0BkUFY1DKqd+Pvx+r189rnaJN3rZf05yUTq8XO9XrkhRfk2KhKH83uXx8jPayEp/pQqiX5/nbN9IQMIRdO3ZNpaQPRhvKOBKBioNta6SCSTmQIVVE0m6lsUqbIh+smspBNkbaRzn1GnAs5sot3ymNjzCdDpG4AJuttM4d3GZTIy4XDM2fOME6OkD7fHW2+wuCX6FuZfFJzcBBD4bm5cENeik/awox1zcOQZV5YFGMzQViQkhsWpc9/xPFmNDRO9ng+wspakw3FkGf1Y1uOJxyh9QxG9COi+mQrfYOe4d28qlrd/aAWo0XhvZuh9HnmDdqkOlGSvhYkO6B6BZM+Yug3eVrTe5U745PHkLUT1Mvwfau70mR5PPPOnPAuhr1NDsnwJTJhTlQ+6Rui7DKBGN5NXdQQyFJo2UJnC2PqlenXhcVU6fO/5iakz7UiNdfyAqWzSN7i758uor8/aCNIovTlhHcxoixmwkEzSnQiLY9T/sxT6dOvI5VJusl629zg5sxM+oiRN7npP6OdFDx3/znHoRNLjMUgtw0bhiVF7rlyzY8xD++iVKmlJSxjhGMKCF8VYdkS5vTlKCVDBagYXl6A2d0GMFQfpXq15fic+VWF591X4di+lbXl12uhyenLKUKKmhq7nS9dWcvt8OPp05c9Z/kpffo5zlf1XSNSNkr4iGhEMOmrAdLnm0OWV1mrj+9rQ0JJXuXf5rQbwijkyAvv+qo+RoUcCMpSqMgQhnfzqhNRiixyWr2hhhPz1F2/3C7qXKJA6ctQZAL1yjm8O5izmcBr9ZanvGJdk7ycPvdCjpycV4QISJ4XYHl8pVi6RieyN0VqfJ/7V7+OVDZTecVUWAVV9QwmfcTIq0zUf0a54ODJ5lnVXXiKTF4hh4/SZ5pE7lwJp3L6TNQYBMPsPBNdUkJWgIdeIebMrQUkkKMUi5jcW77pCcOZOX0o4d2c/te63dHgoN+8CEQpjSz5V+9mb/AwIiB5lbsY95ZJdCKY352VvjDXOY+8+nYWyRZZWsq/67GG1DOY9BHDxPQyyOkbopvcfImlicKg5+GQVdYiVu+mqleKWHrm9GUVcvgqS9FWb4TFCXnh3eBcIRQhEbZhy++33FpYAjlGSD/7OfTbGAVKX071rlfFtoEio54f33kxq6eu7/0bEGQDEu563fO87VCiRQab+vA4/JQ+kzF8n0PKMeodTPqIYZZ4jbPgZE5unvJ/6N1lsBPEUGRaCduw5XleYeWVZC3MrXgN0tPbsPkvznnh3XDXjKH00amJ4XHQ5Irm+Viqn3lX7w7RL2qDub1LEQpSDHIT/Ulf/rwYhHcd1cRAIct41sPr7pe+k2mn4hmyzMvZjpwrb1cDg1xnxwIemxz6ISZ9jNFS+lo9b8I8ryh9fGf1KieMoY+B0QEiPbzrL83nh5A9CzlMdv9IxJJ6cc4N7yIofXnPiG+3l4hLP1XFdrBZoVN8yuPkkwxf309FgNLuK11td62sNbE1wjNObskfw1nps1Gv/BSybKXPb140I0ue95VBBMS32tnk+WjxjLLUO5j0ESPIwTHqzkDjFRVVE/0mhUylD0ORyfWFU7t//ypLqqKXcPefdc1xiGVWqzcMpS8/3w4hNzFnMfAtFjGyitBUJR+FIVsJ97NNslcyaHz62trC7zuHkA3UcLzwblP6GOpcVQypnSMgrXSdLAIS3pYxhuezbhSR8g6FmxNkZ9JncRzDXL3LoACQl9VXX12MGzeOLPSa5xUVrejzS+7OfGARfJzyO3Lg5D9mjuEbCs9RlXBC+vljoBRy5OTb+YZ8yn+bV1hT6cfpqWJkjxF+30VRzCPHeJYtBs+h94ZiMNOyRT9X6ncpCIAiOa5jmERAWisE1jd/N5O8qjEcQ8h5FjooSp8SDjKVV7+512QzrKdHuCl99IWT9Y70s89AwbRp08T/O/ororOjTfT1D5KElsK+uwZKn695p4n3nGfuStY4we7fU7HUXwu/+tE8jOG+MJuP4RXezamyLETp8yzeMfGx1MeG38+6z7PGMMl59bNsMSkSasW5t1KUJViUQe0bHByUlbVdXTQKmSI5vhu8rAhIoPQ5EksTEt7e1i4/DgwOkFjoYOT0BfeVibWY95yV/WzBswe/6zJO2LHGhCAPi0YEK301AP9FLT93xTvkk1NggaEsFdGnWN/dpRcneE5uNvld3gnLBsTSK7xr1ruUUunzDfOpc6XbZ2T7qQ25510ZmNv6VGyb2HeESrVveNekyMJP6cs0A1ZjDBIWcigVztnfLp/ItLeXxxgYGPAk4cnhdvkzNEsuunB76ACRrTX5FASaWaS1Or/+qgAmfTUAX0IW3uhZ1gT0pfD+hCxfkfHPTQwXzdQqS8/cxCISlk12zSiFHDnh3SKUvjCP0/f5SD9XcC/4tC9T91WmUuK5uTPpaIBpLp6W06f/zNVDz0Tp8yWWJpYthSh97e0opK/NROlzDr1ahEV9w7sZ56o8jvv8ayJOtHial9c7mPTVANAepoxJ2juHzET+r0xKg64TqJYLl26m6qv65IepfZU+IxUjQvqGatK6wyS8GxIZnw4p2cfirYQH1cF5i437OGZKH04ep3GRkMMzAmoihG3zxmhT+XaDvjl96eerTRFLQp8+NWdSVqS2VcK76ry6V1Nnze9+4V0jhcxz7jU5V+X30OqcJsSWLflg0lcDCL3n6HIliijpxwq9mihk7hOPyeTmtxM0Ce/qCctOypLBBIrRbijsLZpdIewaHtP/Nu3+DdUYX3U3e7rzKXYyyenzToTXKrbTNkX+5DU/5xXDTsWkVaFvy8WwwM3kmjiSV4NOFv5KXz4Jx/JhNbkelEUv8uc+intB3ZDqGUz6agDhzpywstbbhsQgTw3NvNNgIaB0bPe0CDEhZPrPfRKWKf3ajIosECrh8pz6fRUGkw2L/nO3nD6T6l2kezfvvvJQMvRzbKL0uar6JlZWhVi2BOTVdcOdf03aKjl9g745fSakz7l9mUUExHPTYhreHSFS3FsbvHqXSV8NoIiqqJCQ0U0KKhzj7G5vlUBOF971t7zIH0P/uZ8flYEq6lNkEYSqaYx6dZueVKXPUyGzJn1D9EqfW/FOvqrk6/upznGW/2M0p88/lSN9DEUs/WxIMgvcfO8tg1SOoHrXkfQF4fY2OqXPrC2ebzGgaXjXncCa+cm2RH630cCkrwbgH07MD5WEkrZf5VV2tZ2v0mdu3qlXMmL2YMVQ+qwnN2KlDyP0mnZv+Tvo6xXb2cTSt5Aja/HXxx8iVvrke3K4d03yOH0tKcJQYnr+WNRDj44AoCl9GWH9YKPqu6HIOI4gvOtJkClz+ox6xCN15Mit3vXZDJukIbVwTh9jlIHm2WbgTeScN1iA/G/kQab9zGWiNmrTg2RknR/G8AgnGoSVMEOveS25XMfR/ybdONlT3TVY0HzTLEKFYXTvXd8wslLpVfg2X9V3LeQwP1/OlbUG8yJacUJWBKRC+goJ7xIqfUWoovrP/ap389OQRpj0MUYL4aJGl0Pm2+rNhGQoH6nBghzbnRZOk8kNKdzeUoTSZ2ShgxDezejv61OQYtJOTpEcUG58umXkFnJ4hMNDpa95VLsN+Cru6tnNU6lVKzbn0OswfSeLPJNp1HSRVjpz5qAjR4ZPn39OnwUJJ4xI+St9Buk7LX4FKfUOJn01AF9FxqjyyncnaCGbU5rC6n5qLuPYmBq75l6ZhF71cXx8+qitCWzyLH2UPpPUBHKy5FP1aqju+pAMU3NbjPvKtAjJuWetSXTCl2QQ37vlMfKve1jIMUhYvVuxOfHM2c4sgPAsDDMp1PNNrzHb1LdUfpcLORijhDBBlrCQw7e1mFEBBJaPU47877EYmISp9Z85JdybTm4eOTI2oXBnywtNWTO5t9yUvvyQT7TX65C7dUdeWMnHssU0hOyxwQvVXcPwmMO5Ms/p81X6LCxCXOcTFarONJlu9TSZzlcsw0KOfsLwbqU/tWdluEkbNucWmIbhXZ/2kWbWYi2R3200MOmrAXgXWRhI8wEh87RsydzRIu3Mc5UMjx2nWZseP5Jh7jzvHpKxafXmu5kovxaNjY6J8grqrpdCpsYwLOTwIeH5oVf3VA6Tim395z6WLbnhXTSlz6AQyTm8O5gfQkZKe8k6X+0divT5mjPnP+vuSp+aTwxynQm9GaMbI/dUjlbC9J16B5O+GoBvH1aTh8k3hByGluiUvnAnmFed6KP0GRyHb0WqpQmpl9JnFI7xy1cyzpFxUpboixNMVGr95045fQY9cX09wkxUat+CFBOCgZK/O1SA0hdYAeUrfXBfOVVUm1hZBR05fNuw5Xdc8t3Umz3nRbka0KbvjDiut/WOmid9Dz30kFhnnXWCr5csWSL2339/MX78eDFt2jQxb9684Gf9/f3iyCOPFBMmTBBrr722OPPMM0U9IFoBSRPq867usurI4Zkfk5tP5B5ONDkOUJZUUYFfvp3Z5OYVpjYi+v45ONkdIGgtFsrvwSeP04yQ+VRtGyt9HgunedqAB7E0KH7AUPpMuu94V+9W3ltWz1r/uddA6avk9Dn79Bnl9Pn12Tbz6fNVRS0jIE5KX/6Gu8UzklPvyD77owhg4Jdddpk47rjjIjf7UUcdJcaOHSsWLlwonnrqKbHXXnuJTTbZRGy33XbipJNOEq+99pp45ZVXxHvvvSc+9alPiVmzZomDDjpI1DLifVjzJnU3yxY/STuvawKGL5zxTtCDXBrbqbS2ipGBAS/bgPzj8E9YpvQ5M0kg13/ulkNmGvJxV3cDk96c6l0vNdEwpy/MJ6JT+rw6vZjm9Hn428HcbtQ6EqnVm8lmuPz7g5kVsq7zIlrv3UxzZj+lz6Q/NVYbwbz5xKd9ZKBYZrbeaw0+h2fE9prXO2pW6TvrrLPEeeedJ4mcwooVK8SNN94oTjvtNNHZ2Sm22WYbccghh4grrrhC/vzKK68UJ554olQBgewde+yx4vLLLxe1Dm/bCyvvOd9QSQu5r5Z5mymPatE8RSZQ+lyIpWGIzMdPzSCpH0vpM83B8bE6yS1O8FhwjNVEn6pwA6Wk/HOE3ETT3qUO1z2wB8kN76oCCPtnXQ+jZpIlz44cJvNJNF/UJwcyo5Cj4tMH18+PiBPm9Jl0SMESDvIK9TA6FbXSRXLqHTVL+r70pS+JJ554Qmy99dbB91588UXJymfMmBF8b86cOeL555+XYV9Q9+bOnVv1MxO8+uqr4sUXX4j8++CDD0RR8EqGtzDqdW+WbbAT9M35MCRLPrmD5l5nrU4hBtOKV115clsICsiJMs2x9CisMSb6HgvziHEhRwHVuz7qrkG+kv5zn+th6tPnk8eZN44ilq7pIsYE1mOzanJNdCXJJcQ7ZOPT59gOMa8VohxDm0/ccs8tlb4araKvd9RseHfKlClV31u5cqXo6uqKfK+7u1v09PTIn6mv4z8zwX777lP1vZNPPlmceuqpAgudHdkPLeyaW1uaMn8vCSOVG72rsyP1b+FngNLIiPXr62N0d2WM0dUR/K7LGKJUJkudHe2Zf99emfygj7r9OKUgzyb+t/rXaqEAXmYzhq58jOnuypzgOioKQJMoWR9HyeCaD3V1BpOny/VQ0dCkc6VDdW+AzbPtOHAN5RhteWO0OV0PgEpH7Mi5r+DngFLJ4RmpLIIdlPeu4fMBz6jzc1gZI+84uoN7ayjyeybjDQ8NBIqLeq9JgOdHkQyX+zd4Rro6M/9ePaMtzXZzrx6mHtOdPQaofUD4mpvsn/VwjK7Uv4XXDcZqa8kkPUmvoQgWXNe0MZpEZ3DceWNkryHZ56qjkgPpNi+O5M6L0fW22W2tIoQ6/oYjfUkAEtfX1xf5HpA6yPFTZK+3t1esttpqkZ+Z4I/zbxLTp0+PfG/ChImir98tVBkH3FhZr6UeoJU9faJ7jN2YqqdjqdSUOoaKqMDvuhyTmniGR0rpY5SaAmsClzH6+9UuuDnz71UP1d6+futx+pVtQlN0jPj1aarI/729dmPA/acwODQihoaz/rYpeE+2x6HI5UhJpP4tXCv5OyMjoqe3P7XjRRp6evuC8210PSzPlfybvv7gfGf9rev10O8r4GVZf1sS7vevyTMYOQ6PexfeZ9bfqusO3nO2Y/RVzlVTzjUPz9VA8Ht5c5wCzHGKbJkcB8w9LvOJUtXyrokifSt7eq3G0ZWooeH0eVFtWuD9LF/RIzo6Q2HCbu7NeNa1iAScXxVSjiPpGul9zIeGRzLGKBmNkTdnZR1H+f0I5+cwmBdzxmiprLc9DustJeD6BGsUEeqK9EGeHjw4r7/+uqzcBSxYsECGdKFid9KkSfJrqNzVf2YCIHyzZs0Wo4Uwidw9h8zETsW/etfEr43WnNnHL8o0p6/VMZlY75SRVfGqvwe3Aoj8UEm8k4Ut6TO3U/HP6csLWYapA/R2Ki4pEGH6QzPdcRib27o/h+bFO/7h3fyClIotzOCgJCZ5z5NrJbJrRbVpmDrov7typXX/3WjRS/oY+rNdvu7tTuQ16zlUuefqPdmSPuP0HQQ3gDwj9pYGbsVWszl9SRg3bpzYb7/9xAknnCBVvIcfflhcffXV4gtf+IL8+aGHHirDsYsXL5b5fxdccIE47LDDRD3Ay1vLpJLTI4dBn3hMnM7dfbVMCzkQbC9Mcz4sxzCxoii6DZv++05jmFbvepkBm1Wk+vXFpSNLxvl2GDl9lG3YDH36giILh0KOMH/M7L7S/8apj3DehqLNLadP3bt6YUB+V44BEmIZaU9pmYds6sfp2wIzXKfoPDlNCg4xChvrGXVF+gCXXnqpnGimTp0qDjjgAHHOOeeIbbfdVv7sjDPOELNnzxYbbbSR2GmnnaS9y4EHHijqAT4qg4kvnM9iE622o7NYMK16DbuL+Nh30FRAmiYr62P4EADzhcDHANqQZBD1QpY/9yhKMenCUh7DwyzbuELY397GtNJZD9vZjpFfvatUOB+lz5z0eSmjbTSbSFPyClCq2IClQbONmuhanKCO24S8+m2+TP1L3QvcTJ/1Vk9ng3pGzYd3d9llF/H+++8HX0MY97rrrkv8XSjy+MUvfiH/1RvCalH3hym7P6pHdbD2N9m+cNEKMvtwjKECgGCtYRois7VAMF3QsJS+fELWKl/fTemzU2T82n5RmjNbEjJCk2lFLIcox9DuCdswXHg92gyrd12UPrNrDgQE/gFx9ev2QlO9axqm9jFoVgbTeQbp+vuwvX9NiZL8HccqelgPTEmyT/Vu2FnEdKM6LBoNdaf0rapoJSYAgXLlUG6vT7hZO8H4YkM+SZPaXqgG5kOOaqXFBOrTWsyULPl4AbbWgNKHYZyco2L4hHxMPfS8lD7L8K7+vqgMuXWLIkyLKYzoQRDezTWadrsmNkqfq0FzeAx0m0hToiTfh2MKhJNiOVJAZ5xhJn2MUYKft5a5Tx/AepLWdoJZu03fcIyxeuXTkcOQLIVKn2V4zCGnb4RY6dN/32WMXJLhQ14tQ5ak3ow+hRyW3TL8zlX29fAJ65sWP+j3ty2RMTEWj9sBOd2/QX6i2TWxNYE23aRGwruOOX15xBXges1NPPp8W2Ca5g3qP7ddC/V0Bs7pSweTvhqBX5Pp/MnHJynaNBdDX2yKKBxwGsOaANgqfea7Zj+SYaaW+IRFjUOvPsndtsU7Tnk+I3aFHIQ5fX6qqNmGJTKO5f1rWvwAr69Uf9vn0PQ5L4/jFnqNzotUSp95eLfNNbyrlNccEo5RfKasl7LHcDtXgTBh42pgqfTp61resbQ2cE4fk74aQZDr47C7MVmcq0v6Xfq8muwEMXITzXL6XJKJjZP6nUMl9Auznf0BvbLkp/SpHEu6Qg7rNmxe1bt5CoNH/qNN7lWw+RpG7/OaZKni1nrPZAy3625qdeIzhk2Yur29bEJta9liWljjRZYMWpdVKX2O4V3KCIj+3BrnDQ4x6WOMElwJgGkfy6gK55rzYU761OJB24aNbuH0Do/ZFHJ4EP38cCKG0kdXWGNKkl3VGPk3pm3YCmiRhlKEZKGQueZemeWpuZElmzECO5VBuhwyV9JnE6ZWnViUiTe2hY5XeLdCEk2Ow3XzZerMoD+n9hGpEeMq5Bb1fDjkDdY7mPTVCFzDV3YJsm7J8DZhDJ+SfvNwooeaaBh+dSUANgtzq+PEoxN9SqXPuJADoW+0sS0MadUrRt5gM9m5GrJ6Dt02FGEhRxud0mdR9Rr4AToSS1LSZxGmlubMHkofaU6fRUqKa4V7eO8akL5g7rUtELJ4PlrcN1/1DiZ9NQJfZUnZG1CoPqYqhv47Tiqcod0JRkeOXMsWtdt03P2bLASuIQaXBc1JhRs0zbdzD7fbKn0+hKw5j5ChWLYYnisPpY8yX9RN6bMt5LDYGFXIjn0O2ZB5DpnjRtUmTB2YM1v69A0aVlP7WJ2EhCyfDvgSZCNXA1e/Qat1qqUyBit9jFGCdzKxTVL0MGHOh+NCoPs4qcUkdQyP8K6ptUagyDia2xrlPzpObuoYzMIYHnmDxpYtHqFXQ6UvVMKH3C1bCA1bbXP6vHJejXL66MO7yqDZNvQato20yekbJFPIlJroGkI2mRedCzlsciw9q3etyJJjIQdteNdMbff1y6x3MOmrEfjnkJnkY7juoMzHcO0tatr/0WeMIqosTYsffMIYVguzD0E2JWQF+A36qLu2HTlszxWE25X3pakBtN+GxeS6288ncBymG6/yGCr06kjILNJFnO1UTKpei1D6nMO79Eqf6Zyovw9ryxYL0/pmz3ZyNhGpYSZ9jNFCEW2/itgJhoolYW6il1pCXb3rsqOls4pAqRDObVjvU8hhSSxJ7VTc7qvohoXOH8ymA4SL/Uz0GTRRyNyMk+3Iq2s4cdC+QphQ6Qt9+twIsjrXFPl2ptEPH4Ls4mow4mjZYhSRauGcPsYow5XI2IRKXH3I7HaCfiX9Jjk4PnlR1m16rEPhFguzY7GIFdH3qnQ2Uy29ql4NF04/H8sRK+Nk10XTZAyfnFcbE10Xn0n9eTIqsgj679IrfaQVwq5Kn4WqH3bksM3pM1csVc6qM+lrpiNLLq4Gzr2QrTbDw6LRwKSvRuBq32G6MGMYDtskXrvumo0UMq9qUTNS5qqKuhjPOo9hlbDsU8hhGrKsd6WvpcrZ3+b1Ib8yd8OC0erNKnXAXukz6fOqfk/+nXVHDgelz5VYWoSp7S1bzOdF5967FrmJYYs/x42qhQ+ra164lU+fq9+g0fPRKj9yTh9j1OBaAWlVFeWqLNmEEx2VPhsfJx/DVtM2Pe6VcPaTG2XbJD9TY8NCjgKUPp/qXbV45Ln06/e3zTg2Srir0hdtWE+TW2uTPxYp5CDMe3Udw8bU2LmIzsZ6RlXvFpHTZx0WrcyJlIUcVgWH9FXILR6b4XoHk74aQdhPtoZz+ogWG/n7Fkm47v0f7YtFXMO7dsqr687cYkFz8YUzPBaMwhrTHsJF5HHqf2P2+uaLv2vHGpt7V38vbkpfvqoU8dBz7b1rpSwNuanUFjl91sUiFoqlyunTi2VsjsOsI4dreNf+/nU3Z24xPg69QAo997zFLbK2KoBJX43AP4esiJw+k525I+kzbI5e6wn3Tn5Uzp0A6EL6kQ1FG53SZ5oMj+HTl3fN9a41dqTPLGdQ/x3KhvX677gQDJOQaPn3Kjl9ru3LCiiysAnvOlfqG3kahkTaRu2za1/mmC5io1Q7F3KYVzrr94Xdc2h+HM2OquiqACZ9NQLXLhMuVVHuCcvmSp8zkbEM77rsBI387Zodq6ktwhiKGNruaG2qBl2rqeXfGJJLV1VU/xuqwproGDTVzjZWEa5KnyKJJibsrhY3iryZqEr677l66FnlkDnPJ23kxSIm9xXMOUFXDotijkI6cjhYtri6M9ikvejvja56d1g0Gpj01QhczSJtqqJ8qxMp5X/XScEq4d6hsta66bdFuF3PMXOZ3KiVvkHDjhyueYN6D+Hc1nuOY0Q99JpJlDgrU1it8txuw2J+75Z/z/5Zt87pcyzaCnMTCYssLMKivt6ipucr6L9rYduiQudGfoOeZu9m7cv8Kp1NNsN6ERHdvNhq/fqrCpj01Xn1rlUja89ye0pfrbDrh/kYtuNYtenxVfosCLJPlWUhSl9uRw63qlf9d3NzLD1In0JeIYf+PuyUPvtwZfy95UGRUFPS51JlaZ3TVyEirpYtdptI2zEGzecT15QUSyKulL6BgX4Sn74WX1NjI+cEX8sWM1XUKc3CyS5rSDQamPTVCNwbWZuTJVc10So85huOMXFs10JcLlWWVpXOhCRct/ggm9wclT6balFnEm5jyO1pp6K/hll/apvrYR8+dr93zVQlF9XHZjPhVVlrkcqhyI5zRw6b9pSOG1Vzpc++gtdGfXVW+izuX9eOMjauBs5KtUMaxxArfYzRQtgCirIqyo9YWpmpOlbbGU8KDrlRoZ+aRW6XZaJvUPxgQF4j4zhMbpRKn013Bj3HzOV6mORYuhJLmzFcFwPT3r5eRN8ib9A1Z8m6kMOxetfO99MxR9giP1EplnA9rHJrLTaqulefzfmyaidXQE6f7zplIk64ViK7WCcNc04fY7Tg3fbLqkzdNufDPlGdcvfv2pXDtM+rl1m29eTmUDhgZQDtWLxjUS0KJMbFPNlGjdEJG5WHXvn3HDYTFkpJJHRlpYq6HYddRw67nD5VkWqfC2fhOFBIjrDjhsKiIMW1g0nQkaMA3087yyG6Qg5Xg2a73MSWyt9weJcxSnC1IXEpgLC3hbGoivLcmZsnkduTDLs2Pa2ORqfmyqtrHo5LGyvb6xEUcRi0xVO/5171akaWXBYcG3VXfy9UCoNrvp31feUQpg4VZFOfPhV6deyWYXAsgRdgAXnI+t9hb7hdDZrDCAh99a6ZcECfvuP9HNrkJg6z0seoV58+i/ZllDl9rjkftrtmN4XMopCjgB6T+nuxyr2ymdxcDaBtlVcnpc/8OKJjuCh9ZlOdSzjcvrLW/t6yuXfdffoGrSxbXFukOfl+WlYIKyJqciy6+kqq9DmFdy1y+iobG3sfVosIiGMBhO25Cnz0hqhynVvlR87pY4waXHsaujSyti/pt1eWXL27TMmSE8mwaSfn3Ht32C13xWFyo1T6bDq9+Cp9JsfheiwqPGRLyGzCojbmzM6VtRYLsxyjlgs5HKrPnecTQ9UysJ8hVPpUIceggzmzUUeOVsc8ZEXCDdRwZ6XPcj4J7l+i8G6L46Z+VQCTvhqBd3cGQkNKK6sTBzIWTVhus2xbZ0EAHDonuLY0MiUyLjvOIvr7WufguChkluqVS5GQdU6fQ9inSKWP8r7q7y9bibR3dJAWcthZtnj29zUuSnG5Jnb5u7Y5fREfS4tCDltvUfX7ZkqfZ06f4bPu0vvcLjexpfw3Fk4AqwqY9NUIXLsz2PjbuVbv2uX0uRUOhDkfpkqGQ6K6lYee/fXQJ2ljpc/BBNqm9Z5vr0zbalGX62Gap+aTx2mswjk8I0UofbbVuy45fX39ffJjpyHpcynk0J8nyu47QQGE8YbCPj/RhrxGfPoMO3LYVNDr78PeW9S+kMO5eMd0XlShaidzZpMq+pby37DSxxgtuPYbtCrkcM3HcGnIbd0rs8D8LgOS4dItQ0/Q1nttmplA05ClVVHpswshj9CrcAUofbY+Zy5tHfv7ykpfR2entTmzKSGz8WaM/w7VvBhV4eznE+sxDDty2J4rV6XPrhdymPvo0jrStsBNRWewCzlaHUWWVQFM+moErqatNlVRoTrmWshh8jC1eSX6mpMMl8XZokrNYbFZtmyp/Njd3W1O+lzCiQ7dS9wtdOxyyJyUV8uFwEpZUtW71jl9LlWDpiFkBzXRUlVyua/6K0pfh3F4N7zHTcfR5wUT30TnylpLz8HQQ88+3870mrQHvXftSB+cA5sKeteiLbM2gn4dZWxzhKkiOS2OIsuqACZ9NQLv7gxWXSZsCYC5bK7vBK3GsA3HOBBYm4XT5Xp8+OGH8uP48asbv6cw4Z5I3XU15Lb2G3RX+myLd6zGUIUcppYtHpsJ61C4UwtBOoLcV1H6Oju7jH5fv/9MbUj0xd+EyLh237H1/VR2KqYqnN4Zxl5NHCDxTXRW+gI1nM7eJsx1pjsW1844ww3m1VeXpO/cc8+Vu6axY8cG/+69916xZMkSsf/++4vx48eLadOmiXnz5ol6gkv4ymYH5bwTtMjpc21pZJOw7L4404b6FOlbfXVz0ueSsOyam2i3MzevGpTvxSGX07oitYhCDqecPttiEZcwta1S0uqs9Jnm9AFp6+jojPwtdm6iC1ly6fCj7FTc8u3sqncHHJQ+EzjnbFvkU7uKE+6m9Q7hXcvjGGqwrhx1Sfoef/xxcdZZZ4kVK1YE/z7+8Y+Lo446ShLAhQsXiuuvv1585zvfEQ888ICoF4S7c2LVx9HHyWSXpvJ8rEnGsGvidQG5V4a2AUuX2pO+Vh+FzLLbAFUI2fk4LC0vCvHp8wnvWhch0YV3XRTkvr4+q5w+QGfld9Xfmm9SWyzGKCuPfb1mY/h0FzG1U7HpWFM9xiBNa0qH1mX671tvvqw6ytgdS7M6FiLLFp/uIvWOuiV9W2yxReR7QPxuvPFGcdppp8mJaJttthGHHHKIuOKKK0S9wM2F3EL1cfbps1f6qI1OVX7MQMVmgjJEZkpkgvCuBelz6fFrQ5Cdc0XVomlbLergC2e72Ng8H645fS4qnHW+nUt411Z5Nbx34Vqo4zDN6dNJnyoCMRnHVunr6i6Tvp7eHjKfvsBDz1iFC6+5SZg6as48YNmCzTA/uIA2bC6kD0LhoVLdUjObyJYGbcVm/uTVCHp6esSCBQvEeeedJw499FCxxhpriG9/+9viox/9qNxJzZgxI/jdOXPmiBtuuMHodV999dWq702YMFFMnDhR1HZ416V6l66QozpXojyZYvaYjJA+C6NTm+ou+XuWqs9Sh/CuS49fG38w1W0Ajt0uHONWLTpUc0qfZUjfqSOHWwjZzbLFNkxtdq6UUgdhL9MiJEBHZ4eV0mfbTg7Q3dUtP/b29tr721kqfaahV7cwtZqzzMbo6ysfb2flHNOFd+1yUm3Jkv5+TMcI014cIjm2XZ2GGkvpqzvSB6HbnXbaSXzlK18Rv//978WDDz4o9tlnH/Gtb31LdHVFE5ChihJIogn223efqu+dfPLJ4tRTT0V7750d2ZOpmqBamptyfzf+QHV3deb+DfyO+hvT1weoCXRMd/4Y6jjgb2yOY8TiONTvyb8bMT+WJlEuze9ob0v8m/j31PVobck/Dlholi4tV+9OWmtN4/ekqgabmkrm56oSNu/u6jC+HnDNIWJift3LY3R0tBv9Dfye7XGIkt0Y6nrAdTQdQxWItrclX/M4OivHISzGgN9Vf2s1RmnE4lzZjTHcHT7rHe35RRMrlg8Hyl1Xp9lGDTCmu0zIhofLRCbvvTU3hSTL9NjHjh0jPw4O9Bv9jb4pGDumK3jGstBVmU9KhvPJisqBAHk1PY5xY7sDFd3kbwYqeZKrrbaa0e+XRjqC+SHrmuuvpRekmM7viiDDKTD5/b7ScOR6mCij4yrXHHJFbefFrk7zeRHQYjC/FwlYnyhRd6Rvgw02EPfcc0/wNeTyHXbYYeJvf/tb1W4TCB/k+Jngj/NvEtOnT69S+vr67dzm0wA3Vd5rKRl/xcoe43HVBAeCRt7fDA2XAjXG9PV1H6Oh4RGjv1Okb2VPr2jvMKsEVP5YI6X84wA0V3aMPb19xsfSH6iCTVV/k3R9lFdfT29/7hiQXgDHDEoJHLPxfVOZAPv7B4z/RoWgTK65vqOF4+jqNjxX/ZVz1dRsNEZJNAUVoObXYzD1emRN0jZj9KnjMBxDHQfcK7b3lem9G44xaDzGihUr5cfWtnazv2lqCTcjy1YEYdg0LFu2IujGYTPnKfVqeeX95f1tb285DAzPiek47ZVikWXLVxj9jb4OwJw3YjKfBM+62XwCv6eUK+O5tNQURCdM/ubDD8ubyM4us/lEze+AlT19iSpnfJ7Tw9mDQyNCWJyrXsPnEN5L+e+aRf+AmXLX1T0mOAfm86JaC0uGa0hLcE9irfO+gOsTzos0qLucvscee0ycffbZVQ85VOvCw/T6668H34cw8Ny5c41eFwjfrFmzI/+KDO3qoRLT/BjrPpYe/TjtugHYh/psCzkCz6sB83OlZHyK/C6Vz7fa+PFG/mM+IRl7o1P6xGuXfDvXij6XIgv7a25RAFEhAHnEyidMrSIWEL0wPQ71flauLBMyzG4c1Tl9fSQpFoDuSgSn1zBqo86rbvdi2i3D3E7FLpSoK2SwkTa5v9R1GzPGTLiIptYMO4ReaXL61Dk1zU0EjBs3Tn5cvnw5XdeaZjc3i3pH3ZE+UO6gWAOqc+HhueOOO8S1114rjjnmGLHffvuJE044QU6QDz/8sLj66qvFF77wBVEv6KzsaNUEbKPCGXkTuZjCOkwKbQ5N0m37WPrk9LUSEIClHy6RH1e38OjTx7CZeNTu3LyZvDvZtz1XdnYqdmOEPn325sy21btW7csquVfx9BLMBPKVPRUCUFFATKDIggnpUxtNU+LqXr1rt7kDdHXb5fTZFnGo8L9NZa1tPipAz5U0mbdC0md2zV3sVNTvwd+ZEmRbL9Zly8rEbdw4M/LqTvps83dbGrKQo+5I3+zZs8V1110nTj/9dHljfPWrXxWXXXaZ2HLLLcWll14qF8SpU6eKAw44QJxzzjli2223FfWCDstds2ubHj2Pw1gp0SaU/HEclL4aLuQwmUBdPPoiYxjvmgeD92O6QPtcD9u2eDZkybn1npWnoaU5s0NPZ0VGbE2Nba5Hz8qK0jfGTOnTycLKleXQbRbURlP57tnOWcakzzLZXi/kMM3PtlXCI+bM1h565mPA/Bl6DhqERSvXzZT0uSjVtv6P5THsnnXVqWi11cYbjzFu3Gry44oVyy3WKstNZItbYWO9o+5y+gBQuAH/4pgwYYIkhPUK112z6S4t7qauiBNmo2x9HFMi41Jt50L6bEyN9d8zmdw+XGpv1wLoqlzz3opaZEow4DyZVlk6KX2WHQ1qX+mztVOx97ejUvpgUVLmx91WSl/5d3uMlD57j75IdMIyvGun9FXCu4aWLaFHn7nSZ2/ObFfxGozT1iYJn4kfoG14t/x+Wir2O6b3lt2cGFH6DMdQBW6Q+mIKSGOANQ0IH5wHpfzhbupbG7J6t+6UvlUZKp+mz9B7Tu9Xa9rSKPhbwwc2sO6wmhRarYyT9Z2Wtbu9BelzJgAGHnpLK0nXtuFdtYibqhiK9JkSDFelz8YAWv89F5Npa6XPyZyZxqcPFnD1fmxz+kzPlbo34L2ZbNQUupXSZ3BvqTnHNafPNCXFdnMH6LK0bHEZw7YNm635c3ycPGsY2AjbhnddOlnYtC4LxrC8f5dVSB90yjIFrGeK6K0wCPFGU52ayTaqqwKY9NUQbJOibZUr5dkm/9bwgbVdNF0UGRd3ezelj86c2cWYWQ/XqfCduXdXV834P7oWQITFO4R5gyO0bdj6HJRX2+PoqeTzwQbBNMUCMFaRvhUr6JQ+2zmrQnZs5pPuQOnrNQr1BZ0sDFs6ApSti2khhyLiSoXEHgeU3cCOy7B4R6+sNd7UO8zvXZW5R4Vt87A0CO+WQ7YUeX1uBYctDRneZdJXQ7DOj7FUY1wWNRcT0rAbgF2pvU21XXvF6wweduOcjyEa1QfeA+SeuOT0hUpffgjOXelz6ABhmXAfqLuGOVH6+zG9t1zCu7bJ3bZt2Horz6oVCW+xO45Q8TFf/KNK30oypc/WnHnx4sXWqg/kGSqyazKOrRNAxJzZcBOpQuY2hTX6OHnPycqKBQ4QPpfQq+n83u+Qy7n25Mny47vvvkOm9AHGBqRvmVWqE2Wf7VUBTPpqCJ2Wzctdwhi2k4KaBK1c+tsr1jOWfSytcnAqYRL9PaJ3gAgmhWxSqXa8MHHaVj+qXbypiuFC+lwKB2wtKdTu3zQ3UY5hmUTuUshh24ZNbSZM2/uF16PTflNkeByhXYsdwQgLOQhz+irXvb+/PwivZeH99xfJj2uutZbxGLARVM+ViW2Li9JnW8ihQuaKWNuOkzdnrXAI7UaVPrONsCLRNvPWlClT5Md33nkn95rDz5ctW2ZdyKEXc5gofeo5hBaCpmp4q8Nm+OcXXSAuufjnYnnlmOoRTPpqCK4tjaxUOMucJTAd1l3xTdBZWQBV6MtU6bOphNPbRZmTPjsiY9oKaNnS8gQwfrxd+EKRN5ikYHI0yVkKJmkXpY+wkKPbomigWumz9Aer3C9GY1iGrxSJgWthQmKCcHsXndIXVO5ahPmsCzkCxcdS6av8PpwrIH5ZgE3N+++/Lz9fy4L06Xl9PQbPiEu+nQq7wv1isvlSyry10tduqPQ5VO66FG25kL611poknyd4RvJCvLB+wPmE3zdtlOAS3u33mheHjX4frhm8F0jlsd0c1RKY9NWk0mfXvNwuvGtXnajCDGPH5ldPxRdOU/Lqkqfmktdnm79iWtKvdrLjLHNWAED41GJuUswRKEsWk46L0hcWCbVZq0omZKn8fuwqw5W6aVrFGSF9hpYtagxYqEzuK2XMrJROilyiIKfPkgDoPn151yQM79otZvAsKWPjvOd96dIP5TWHzdp464KnbuNrrwhVm2PkwCSvTxFpGwsdvQAtr3rXpXI3ulEdJiN9cM0nTZoUqH0mlbswN9rko9qSPhVhsDqOVrtzpa4JrDs2BVW1BiZ9NZrTZ7JwKkNVm9CrbbN3las2xmKX5mpDYhOyBIRKXz9J9a6pkqgSlcdbhi9c8vqUekqu9Fn6kKlFGciSKdnvVYTJMDQaVPOtWGFMLMNCDlPj2daAxJgor70eSp9pFbLKybNV+myuSaCUOCgYprYtixZVQrtrrmlNAFTBhMnGSKmBNkUWEDlQm6MBgwpe9T7Icvocw7u23nPqmtkqV5MrId53c0nfh85zow3pC2yTrMhrq9W5UlEvm7WwFsGkr4agJlyYpE1ySxZV8mMmWLSLs3UhX1EJM9hI82oBVCoIFelrr+QO2ub0mYbDTRPhl3sofXKcbvMKXqdCDkurEyBUalEzVV9h0VTvySScWA5n90RCd3lQ9yAchymxtM3pi7T9Mgm3Oyiv1kpf5b6wz+9qDu6trLw+uBauiz+gs5KWkne+3lekb62ySmQDG9sWlfenTJ3tCZm5h56t0qc2FAPG4V1HpW+ITukDTJlcyevLKeYI8vksizjiBs25SrXD/dtqWXymquBtw9S1BiZ9NQS4CdWNaGKBsGjRe/KjktqNxnDc3Yy1mHxsTaZte5dW99819dayU/qCkGUlxI1tSaCgFg6jKksXyxbr3X9vMBGamKJWnS+D49A7i9iYGqsx1H1pWl1rkwKhNi0mocSgGweh0mfbdzdJRc4ifXoFvG1On/ybTjulb60117Qew6b/rn+RRfZ8AptM9XzYFtcExDIvvFuZc8ZY5FK7tPJ0UcgAk6esIz8ufPfdTEKmwrvjHeZGeNZBEYZ5Ik/hDY+jy/qe6jFMF1FRL5u1sBbBpK/G0GFh0LzovfeCxFpbomSaNxgWcox1yOkzDO9a9i6tzukzNLO29IUbYxh2VUqfa3g3HIdY6TN20F8W5HFa+alZVIuq44BF0IaQqdCKiWErLASwKOnKBLrS57DYhN0fBq19+mxh0opNHQNca1uzYZtNXkD6XJS+7iKVvuzrop5TUO1sUmsicxZReDeMGpgVVPVX5l5bhRe6X8GxAAFe8Pzz4oknHk+c713tWpRSrdadvBCvi2I5RuW85mzqfdbCWgSTvhqD6QQKpE0ZAttUwgWqkmEILpC0LZplq12jeW6XL+mzDO8aLmwmlhe6JYFzeNeiytLJssUy5BOQWMtq5IC8Wh2H3cI8rlJQtLyy687C66+9Jq8P5JDZXJtQ6bPJ6bNfbEDtybNn0kPtLkqfSQWv2gDa2F0kqUtZ5wvUxCVLFlvbtVQT8R4L42TLIgtVWZszn4QeffbXwzSE7BreVcdsql65hneBkCm/vvnzbxR//cut4s477kiPgjiQPpu8PpcIyJiKimqyFuqpTpzTx0CFMsnMWwyU3xWEFK12NxYLsx7GsJl89EXTyPbCIURmS/qibXoMixPUgtnTk2rjoCwJ9F2pLUyrd/XcK7sqNUulz6FBum3brzCfr8vJsNVE6XvllX/Jj9M3mGE1RpdLTp+lb6IiY2rDkEXIXDoz2Kivrh59NuHdDz74QN6/cAy26lXEssWkkCOwU7FV+sy8+oLwsYPy2h6Ed9PHgPkkKBRxVfp6aEkfYMaMmfKjUoeff/65SAQJrne4gXQlfZW8vhyDZi+lb6VZqsiK5az0MQhg2tbINVRiE4JTcja8J6ucqMoxwENvQsicq3ctSJ+ez2ZK+uD9qA4haZOomtSAfLuoJACTZPu4Aa7NuVJKjJq08qBCMrY5ijZmwK7XXE24aTl9d915h7j22qvlIvDKK6/I720wfQMngmHiM+nSkUNXMPJInyIw8EzZhNptronK/7LtxmETnXAxZdahKnHziLjud2mr9IVhd0Olz4G8mhBLNdfoptS1SPq23nob8Z9HHCm+9vVvijXXXEuquQsWPB/8HO45+B7MizaWX0mbvGeffUZ8+OES1LzwMZXrB/eLSb6zIoeux1IrYNJXRwbNb775prjg/PPE00//M8znsyjiiIR7DJLtwxyGcWTeXUWFd136+0Y99FaiqmIuOX2667xpuzrAOuuUk67ffvsto8nNteLOLbzbhRbeBYXk0UcfkWHdP9zwe2kcC5uVqeutZzVGUIVsQDACldpy0VTh5nzS564qmT7vYXi3k5D0VUyZ13QjfcFzmHNN9OiCqwVUbnjX0ULHlFjqoV3bjWTgZ2hA+qKRA7tzBYA5CIoI4bxtutlm8nuwNimocD5sHm3mKx0bb7yxnK/feustMe+Xl4qXX34px7Te/B7u6OgI1gITkuzSqKAWwaSvxhBMoAmFFs8+87S8Oe+843bx1ltvyu9NslT61MK80sAeJNzZjPHw7jLPi6IkfT09YeGAzUQaKKMpyb5hiyG3fL7yGNnE0ieUqCx94G9AXXhv4cLc31cu+7bHZFOF3OvYsF7lliapltCjU4Xh33jjdflx6tT1rJPt1fnNU/pcKpAVVjNsMRV047C0BlEIqp0Nwrsuao/+d1kqnFKPbXtTx9VXIGRZVc/BfaWp9NbGybnhXTez7IjSlxHeda3ctVX69FCs67VXmDt3EzmvvvnGG2LJkrIi98br5WdwnXXWdX5d+NsjvvRfYtr668tn7ZGHH87J6TM/jqamJuMQr24TZZtnWWtg0ldjyDI6VZ5I8LP3HJU+q/Ducnc5Wxnu5nn1RdUSOtK3cGG5inPSpLWtxhibY0PiSpB0KBUHFpusY3FxnVeT23rrTZOfv/HmG7m/79or06btV0j07ciMuheVfYIOtdjomL6BXWi3/J7MigbUQmNbgawrfXk9PNV9Z2sCbHNNfDz6TJU+RW5VjpYt4BwrVSZLxVIFDC7KqGm6SOCb6KD0BcUiGUrfYqWQOZyr0Oi9x9jbDuZRVyVOT7vYYEY5d/aZitr3eoX0TZu2vtdrQ6Xwbrt9Qn7+3nsLq47LR7EcY7geKpUP7hEXW6NaApO+GkNHSk4f7DRUSFcBFpo11ljDOdyTNym4dOOo6mHaR6eW2JC+dyvWHZMrFWdYPmeuBCm+oIVdIHrQQ6KAqVOnyo+wE8+7HkolsM7p084V3FtZ91dvj2N4t6L0wRjxULUifTNnbihDuvB8zJ492+r19feUlz+mOoq4hMbUgp4b3lUmwA4Ew7QVW9iCzW0xU2FhM9Lnlg8FG5ew/24Pep/iSJEFqdKXPwaEMgFTKmkZLveuToQo8vmSsOmm5RDvM888LY9PRaNApfPFxIlrSmIKz2S8iAvWRjUX2B7LGFXBm2PbsqoYMwOY9NUY0sw1wYgZQlcwmU2ptMCZuGb5QaBqzeTSjcPWesbVr822I8e7FZXUlvTl7QSXVTztVrO0N6kax6CYw7XKGTC1ovS9+eYbmWRMkRC4frY7WrUIwgQMpqw/v+hCccMN16MSWCBYSvGJnytlYQTh7H//9/8Qxxz7NbH66nabovJ7MvOEU0qfaRs5HYpQQ0g6Cz52LeX31iUJk279EodSzlwVjLxnHcYOjG0dSV/5b/M920KlzyXfzsxDLySW7uHdrDnr7QpZWndd+7BopDNOTojXN6wfx4YbzpKvBc/+gw/8Q84DcJ+7hvR1wDMPxSKAhe8tlMrbzy+6QNz21794+UyOMQzvujQpqFUw6avZ6t3+ZKVqyhSx2yd2l783d+NNrF/fpl2Wjxll0IrNkPS5qCWmSh8sOgvfLeeyrW1h0psWHoPzcsklvxB/uuXmwHHeJ7xrmovT62AErAAJ13C+4HqopHrscDVMuur+hYRuWOhffumlRFXDlfQBgQl68MYW/w8rSh+o3/BeXAsT1HsCBSFLkfG5d4Pw7vLsFlNhuy+38C487+paLq2QYh1wfC+99KL8XPmu+eT0JR0L3NNAAMo5VO5J8KuPXz31ODCUUVMPvcASxuFYVHgXzkeSDRRsuuCekD54a7tdD93eRnqtpszzvmH9OIBwbbTxxvLzBx74RxDadXU1iEN1noLUpgXPPyfPE9jE6Pl8tmONMQ3vegggtQYmfXVSvasaW0+ePEWsu+5UWSa/9TbbOI1h2i5rpcfuJjBoNlZLXEhfmxHpgyoy6NoBkzrkh/jmQL766iuSYACxUd1AXHOVgnGCytceEqUPFhG4bwBvVoocKMLV6jiee/YZ+REWHdUuUIdt310T2xYV3vVVFnTVOUnte/6558Qdd9wejO9y78IzCNcEFv+sBQdymAC2960OpXYuSbC8KC+affKcTbe0tjHtGa6UOcjH9MkdU9dVKbpZSp+tXUukkCPHQ0/dE2McimuU0pdGLlVIFAifbQFSUgXvP//5lLjwgv+TIVfq8C5gs003lx8VocUI7SpMWrucjw3FaP/6V9mDE66F2ni7bL7GWOb01bsxM4BJX60qfbHwbjw86bN7Mi3mWOHQjaNq92+o9LmRvg6jNmxKJYWJ1HbRSZoUFi8uJ1rrk6zrBB28hoG1hs+5AqxXsS55IyOvL/DocwxXq/OlF1WooiOsYxmbYNsC5FL5eNnmudoUc8A4t9/+V/HoIw8HlYQui2bZzHtcZogXlBpFcGCzR0GWHn/8Mflxiy22dJ5TgCCrkHuSv6hvPp/C+IrS9+HSDNJXyRX165Zh5qHnoiTD36lzldTj9+1KPp9LaLfK97NnpfjXyy/Lz194YUGGPyMe6YNI1MSJE4OvfYs4dKgivHfeeTuozi9//Y7zczjWOLyrNi5M+hjISEqKhklIheR8Jn8bPzUo53fpxmHbf9dHvVLh3bzE64D0OYSv1LHrZGzxBx/Ij9tss62YNXu22H77Haxf1yWnLwwnuk3SJnl9gdI3zlHpSwh5xW1i4Hop2w0n0pcQ3oUNCrwmLKq+qmtWXh+Ev9XCr0LhriR8tdWyDZphcQNALpNPxeDqFRIcN7eFxRIiCEBCNtu8nITvCvWcJOXbqW4KvqRPkdelH5bPexLUc9rl46GXETkIwu3dY5xJclYYWSl9SpX3VfqgEwrgnbfLxAhr7k0DnBNV0AHXyzftRcfaa08K7jHdtkdFwVzmxTEGlkarWiGHfXdtBinUjQsTj2rvBYsmLNIwaWLcdCbtsly7cSh0Glq2hIpPpzPpgwlAnSvMIg49hKNascEYSumDcNguG+wmMKAmakUAgCz/4Q83SKuVnXb6ePA9H5IBxw8LPFxbUH2SFLHQmNlV6QsXWxgLwpcLY6RPqWeyatlBIQ2asGtKnyI041df3dt+IqL0VZQjhXffKW8gdLiElQCKnKbZtijVR5lreyt9S6IK2ZNPPiE/brzxXKcwu44111pTkmDoFLROTKVCU/oU6Vv6oZwPk0iXKkrxKbLIVvpUjqX7+VK5tfFxYM5Xz0r8HLrMJZCHpgySQamC69DZMYE0vAvY4qNbSrI5a/YcdEEE1F64/knzu40xc17/XdVd5J9PPSV7d6t5cVUgfaz01Rj0Hb0yz1T+fCCdY8Akj0HlErm2nAmVPkPS51HIkRXilUUclYnURSWF49BbscHrqYl0DY88qzjWrViq/OtfL8vr8sgjj0hz0wf+cX9A9pRFiCvpA/KujFLTrFuUejXeMadP95Obu8mmkcpzjAIIvSuHntOnCM0aDtW6mf2jY0q1ehb1JH6XxQagVJBlKdWob7/9trN1R1JOX1zpe+3VV+XHuZvYF4TFoUzi31u0EN2jT0G1OtRthTCrnbM89OAZvO++v4t//ON+L99EgNroxMO7EJGA+QXyaX0Isjp2uH/0504pYtSkD9awT+/9GTFr1iyBjUkVtU9XQ4P5xCFM3a08UgcGAoUXNqW/+tUvxS033yRef/018dhjjwYb/Xo3ZgYw6asxwKQWD/GqHf8UhNBuXngXJp3HH3tU3vA+C05gzpwT3g0Mhx2IDJyrcAJNDskA4YAHGgiiSzJ8uRVbSJKBFIF6BQQKM3ShCnTgtR9+6EHx2KOPyO/DpP3iCy+ikCWAakkGId444By6tmBLCu9+ZPOPyLxL2DXrOX6BR59lN454eFflH+pFCquv4W8PAehO8epTqsKOO308WJgVCbWFbtAMuVdQIKI/hypXyaejga70wf2rnhMgzKCYwP3t+/p6D/BF75V77FIofbD5Gl+5L5P6sOp9d92qd9PdAB568EFx39/vDTZLoP64QlnDxMmlqqL2yefTQ9vxtAq1YakifYg5fdRQeX0QRfjIFltEfuayhrS1tQVCixJBXnjhBVmoB/cQpPCo6wVgpY9Bgs5KBS8Uc8BEprooqJwsX2S1y3rpxRfFbbf9VZINCPt84hO7kyp9rq3Fqmxb+pNJ37PPlKtIN9hghnMOjm7bsviDisq3xgQ0KwKFj31sa/nxoYcejJy3559/VpJnpWa6nivAelNVMcfriflEcL9BDpirtYb6OyB7oEwrmwXVEcVX3QWstVbZnxJC1GoHrkglutKnFXLAuVHh3anrThUHfP5AsfMuu4r1p093GkNtGqAa/PrrrxPz598ow6MACI/JivP29khivAtgUVMkSBVzBG0cJ60dUcxdoToDwSYrni+qClV8SZ9ezKEqNnUoyxh4Ll3Uqyxz5ldfK6uiW3z0o+Lznz9I/NvOuwhXJBWMQFTnqSeflJ+rPrauiIe21XjvVJTjqkIOZKWPEqowBAzY1dyi4HocY2KRL7UhhjD1LrvuJv7jPw6RZA/ms3rvxgFg0leD0JU+2NFCEikoSy45abatmZ577ln58aMf3VJ8Zp99nRcE9QDqSfsUFalZrZOAuD5TsQ7ZZNNyqNEnTw0qvBYv/sDbQiMNUBSiW6WoApFXX31V/PUvf5Gfw0TnM/FArhAsirD4x5PuVa/MaR6bC8hBBKVi++23Lzdkr4Rj9ArewK7FUemDDYVqrwaWI7ryo4oWKJQ+IJiB9c/EiZIwbbvtds45hCrcqfdAVVY3aoEGI3aMHMV4iFd1fVh3qr/Kp54HUF/gWPRqZCBhgdJXKVzByOtLqkTu8ei7q88lKkdYAY5pYaUYbIcddhIzZs4MKnB95t/3KwQfANYqcG+BguhqnaMQVzlnz5kTqNQ6Icc2Zy4C4EDwxf88Quz16b2rjNfdSd/YSAXvm2+8GdkgQxTm6C9/VRx66OFiVQCTvgIAu/ZTTz01qKTKQ3dlMVyyeLF44/U3gjCrS0GFSbssBQgtvvJK2f9os80391KyYGFUE2+W2uer+mQZNL/22quSMMMkCEqf6/UJJoWenkBZoiB9cL623Gor+TnsLLffYUe5u4RrpMjN7p/cw+u6wPlSVczxEK9S/9ab5k76gJB+4dDDxbbbbS+/XnvS5KpQU48D0Y9fo403KpvAQkgU7tsli5VHH7LSpxVyqNCui/VPEsZrxTKqTd6zzz4rr/fbb1eKOKb45fMpqLC3yn0Muj6s414lqgOUVrW50wk+PPvq+xj5UGEF74fo3Uv0oiJdhVPV7hMmTEQJ74FKBXjxxRfkRyCYYAEE+NjW23hHEKpI3+w5ktACeT3ttNOCZygI7zrmpI4W4PmDeQbmskhuLYLSt3z5cpn2AM+3ntoEJB/jmTeZ47J8KDHApK8AgDp0+umnBypRHmZuOCvY/b3xZmUhRgrtxttl6QUQEPKBiQEMKF3d4KO9MqMhXljIrvvtNTJfTZHNoH+pb3hXVr69G+nHCubJgI3nbpK5M8+7Pup8gUUIJekDbLnlVlLh22ffz5Yd7ueUyQ1g880/EpADH6gdrF7MAedP5ZBh3mtK6dOvTRjSN1+c49dow1mz5TV9//1F4uab5sv7GBY7jJZP5fdWXcgRGKQjFVSBYvnJT+0hdt/9k+Kgf/8PqfBDzigQWagc9K3iTFP6gIQpGyMspQ+uyxNPlKuB9R7hSuWDOcVHHYt35UhW+tztWgDw/tR71Enf60oB99gM6Zg5c2bZleG99+RxgIcehKvh/p0717+oJr6ZAsufyZX5/MYbb5TXSu/NW09KXxy6A4GrcDBGkb4VK4I5ce21cdIebKDmOCZ9lnj88cfFNttsIy/kFltsIR544AFRb4AHHyYfmJghqVQ31sWA3i5Lr+CFllmAmTNmouSrhT05e8XLL78krr3mahmqvP3228S1114tb25lQu2b03f//feJX19+mSxAgQkNXvfFyrnb1CO0C1hrrbWC0LfqLgG7fgoA0fv4v+0cXG9oawTfg/sZ8scwoHJDQWlQoUUg5KA4YHtrwYID7x0U3aeeejLaH9UjNxF2+jNmzJSfK4K0x56fRiEWOiHVO8oErRCR0ixUGsWWW31MXuM5lTDczTfPlwvylCnrZCrUNlgjCIsukYolXGuozMfwNFRQVfLvaWFLzHw+wPjVy+kPum0HdJuAPqx333Wns11LloceVHBiGg0D2VcEEhT8e/92T7Dhw4jm6K024XmA4hfVr33jSps03fzftV1hLUBX9l3byY2pqLeL3l8URD+mVjbGqyJWKdIHE+U+++wjjjjiCEkovv71r4t99923ql1TrQMe2DlzNpKfQ+UpPMQYFXY6worUMFEdiBlg5obl8IMvVDHHo48+Km74/fVSYYAKVQg1QP7YVVf+Wv7cNfFaJ33KYgYm0WeffUbccvPNcjyoKlQVX67YaKONxcSJa8rwkQohTZhIo/TFAQTsP484Uhz+xSO8Cjh0bLDBBnKHDM/F3XffFcnnw1T51KKzw447yc/vv+/vUlHEMoVVfT5Vgj2mRYQK44EC8+KLL8r7ShU/YD+LCso6BTYtcF/vs+++aCQ2VPo+1PL5pqIWIynSl6T0YZE+peRClXnZA/Jdceuf/yTHUZXnqsLXBWEF72CwpqjUBJ+0hziUhx1UBENoHIgHhHaxoEK8sDmF9QNymuFaA+l76803A5UPCq6ow5ZFKX2ua8gGG2wgzw0UMap2dcrlYFVE/V7tBNx1113yBv7KV74id2xf+tKXpEz7pz/9SdQbNv/IR4LPYZfm2+YrTdKGECjsZMEuAEKXsMisv75bNWIc6iGE5tiwkG222ebiPw75gvjSl46UCcuKQLk0yo73y9Q9Bf90y83yeGDXvOdee3kvbHBP7brbbpFzV+TuGELJWIsmoHxe9pafP/nE43KiU7mcmAubHpaGYwBV+d57/yaWLSsTgW5PQ2DIjYLXBUVs110/ITAB5xuIJOCm+TcGFkZQYY0VQo4DCLciLJ/aY0+0/ES9wAVI7FMVU2Zfa5A00gc+lkCQoaOIUkex7l/YSKr2i7BI//HGP0jyt+GGs8S++31Wug2AzYYr1DwLhRvw/uHZgLkLNn2uFe1JgPcLUCkPO++8C2o4UYW4J65ZjkjA5hc2r4AnnnhcvPbaa3Uf2o0Xbrkey9prTxbbVYrmVG44RhpNrWKV6sjx/PPPi7lz50a+ByET+H4a1EW+7777ZOhRB0zuGBO8et3462cBUt4grwQm6XWnrhck/WIBwm3Q2u2uO++Q/xQgrAgFEBhYvGRx0D4OJmLIVVRq4lYf21rcdNN86bUGC53r8YEkD2PAznbPPT8t/vrXvwSq3+6f/KRUs/Je2/T6gNIGfWtbW9vQr8doAAo6nnn6aRkWVwCFg+LY1l9/A5mq8Jdb/xx87+133hGDQ9kt9PKu0b/tvGtge0Lxnl9+6eWAEM+YMUOGximv/VZbbS07KQD5wBwH5pOly5bJyAHYwsBGBsgM1hhwXWATB4Qe8ivP+9lPIz//8MOlaGNBSsIHH7wv5s27NFDDZ8/ZSG5YwV9SKbIuAL9HmE+uuuqKyPchWoB93eH9AlEGuxsgspivD/MqHAfM8+p1Ozo7xDPPPCOFkN9cdWVwX9TzXAYqKRwnRI/A2N4Va601KcizBPXwzTfd7yFXqLlNKfFZ7QB90FRKa8JZhzjjjDPEY489Jm644Ybge4cffrhsY3T22Wcn/s1f/vIXseeeexb4LhkMBoPBYDDSceutt4o99thDYGOVUvpA7Yk76MPuM6vMfscddxTXXXedVHHiIVRQ+ZL6kzIYDAaDwWBgAxQ+UPuAm1BglSJ9kKR6wQUXRL63YMECccghh6T+DRDCAw88sIB3x2AwGAwGg5ENX8eJhink2G233WS+x/nnny/z4X71q1/JnAkKiZTBYDAYDAajnrBKkT7w7vrzn/8srrnmGlnVB+Rv/vz5qFVXDAaDwWAwGPWIVaqQg8FgMBgMBoPRAEofg8FgMBgMBiMZTPqIsSq0hVvVcO6550ojVCjiUf/uvbfsjL///vtL30BokzRv3rzRfqsNhYceekjaKylkXQ/I3T3yyCNlGgf4jp155pmj9K4b+xo98sgj0m9Of5bOOuss+TMIIp1wwgmyjSG4IHzjG9+I9MZm4OHvf/+72HbbbeWzAr19L774Yvl9foZq/xo9UvQzBOFdBg16e3tL6667bumiiy4qDQwMlObNm1daa621SsuXLx/tt9bQOOSQQ0rnnHNO1fcPOOCA0qGHHiqv24MPPliaMGFC6R//+MeovMdGwsjIiHw2xo8fX5o4caLR9fjWt75V+sQnPlH68MMPSy+88EJp+vTppd/+9rejeBSNeY0uueSS0t577534N+eff35ps802K7399tuld955p7TVVluVfvjDHxb4rhsDixcvLq2xxhql3/zmN6Xh4eHSo48+Kr++7bbb+Bmqg2t0ScHPEJM+QvzpT38qrbfeepHvbbrppvxgjTI23nhj+bDpACLe0tJSevnll4PvHXvssaWvfOUro/AOGwtnnHFGafPNNy/96Ec/CghF3vWYNGlS6Y477gh+du6555b22muvUXj3jXuNAHA9TjrppMS/2WabbSRRVLj++uvls8fAxeOPPy6JnY7Pfe5zpdNOO42foTq4Rl8p+Bni8G6NtYVj0ALMusG78bzzzhOTJ0+W3o5g7fPiiy9Kc25otaXA16oYQI/sJ554Qmy99dbB97KuB4SsoF2S/mzxtSr+Gqn0FWhhCU3rIXx4/PHHy7Bh0vwH1wiePa4dxAWkDV15ZbmtGgCeD0hXgfPMz1BtX6OPfOQjhT9DTPoIAQ3moUuIDvgaiAdjdAC+jTvttJP4yle+Il5//XVxySWXiOOOO07cfPPNsiuLDr5WxWDKlCmiqamp6tlJux7wM/V1/GeM4q4RAHKN9tlnH/H000+Lu+++W9x1113ilFNOSZz/4PORkZFgQWPgA3q1w/XYaqutxK677srPUI1fo3322afwZ4hJX421hWPQAnZT99xzj/j0pz8tizk+/vGPi8MOO0z87W9/E319fZHf5Ws1us9O2vVQk6D+bPG1Gh2ADypsmqBQDRSlE088UfzhD39InP/gGrW2torOzs5RfMerLl555RWxww47yMIM6D8PzwM/Q7V9jZqbmwt/hpj0EQJChyDF6oCv4yFfRnF47LHHxNlnnx35HkyMIKtDz0NQ/xT4Wo0eZs2alXo9YMKcNGlS5Nnia1U8IEQFoajly5dHniW1IMXnP/gcvsegmdegMhS6T914441S4eNnqPav0ZLReIa8MgIZmejr6yuts846pf/7v/+LVO+uWLFitN9aw2LBggWlzs7O0u9+9ztZRXX77beXxo4dK6upILEWKntXrlxZeuihh2Sl2wMPPDDab7lhcNddd0WKBLKux3HHHVfaddddSx988EFQeXjdddeN4rtvvGsEz8+MGTPktYD57cUXX5RJ5j/96U/lz2Heg8K1N954o/Tuu+/KykMoBGHgAs4trCtnn3121c/4GartazQ8Cs8Qkz5iPPnkk6Xtt99eEostttiCLUBqAPPnz5dl8N3d3aXZs2dLAgiAye/AAw+UpfRQda1XTTGKJ31Z16Onp6d09NFHy4kUqhDPPPPMUXrXjX2NnnnmGWn7sdpqq5XWXnvt0sknnyztXQBDQ0OyKnHKlCmSbHz961+X32PgAu590G/GjBkT+XfiiSfyM1QH1+iZgp8hbsPGYDAYDAaD0QDgnD4Gg8FgMBiMBgCTPgaDwWAwGIwGAJM+BoPBYDAYjAYAkz4Gg8FgMBiMBgCTPgaDwWAwGIwGAJM+BoPBYDAYjAYAkz4Gg8FgMBiMBgCTPgaDwWAwGIwGAJM+BoPBYDAYjAYAkz4Gg8FgMBiMBgCTPgaDwbBAT0+PuOiii0b7bTAYDIY1mPQxGAyGBc4//3zxox/9aLTfBoPBYFiDSR+DwWBYoFQqjfZbYDAYDCcw6WMwGIwEXHbZZWKjjTYSHR0dYvr06eL000+X3zvhhBPEa6+9JpqamsTdd98tf/eGG24Qm2++uejq6hIbb7yxVAMVOYTfaW1tFb/73e/EtGnTxLhx48RnP/tZ8c4774zyETIYjEZDU4m3rQwGgxHBU089Jbbeemtx7bXXii233FI88sgj4gtf+IIkfc8884z49a9/LR5++GExYcIEcf/994vPfOYz4sILLxQ77bSTeOKJJ8QxxxwjvvOd74jjjjtOkr5dd91VzJo1S/z85z8Xa6yxhvjKV74iBgYGxKOPPiqam3nvzWAwikFrQeMwGAxG3eDll1+WSt76668f/Ft77bWl4gcqX0tLi5g8ebL8XVAAv/a1r4kvfvGL8uuZM2eKRYsWiZNPPlmSPoXzzjtPfOITn5CfX3nllWLOnDni3nvvFTvvvPMoHSWDwWg08BaTwWAwYthzzz3FtttuK7baaisxe/ZsSepGRkbE1KlTq373n//8p/jpT38qxo4dG/z77//+b0n8Pvjgg+D3dHIHrwmKH/wtg8FgFAVW+hgMBiMGyM275557ZFj3z3/+s/x3wQUXiDPPPLMqHDs0NCS++93vioMPPrjqdcaPHy8/gmoIeX06hoeHObTLYDAKBc84DAaDEcNtt90mvv/974uPfexj4nvf+57M2zvqqKPE9ddfLwmcjrlz54qXXnpJbLjhhsG/hx56SJx22mkBqYPUacjfU3juuefEsmXLxEc/+tHCj43BYDQuWOljMBiMGNra2sSpp54qlbp9991XvP3221L522233WT4dsmSJWLBggUy1+/EE08U++23n9hkk03E/vvvL55++mlZyAE5frqS9+Uvf1lcfPHFMh8QCjmg6GO77bYb1eNkMBiNBVb6GAwGI4ZddtlFzJs3T5I0sGABMvfJT35S/PjHP5Z2K1DQARYtt9xyi9h7771lVS9U9ALx+/rXvy6OPfZYce6550Ze8/DDDxef+9znxO677y7Vwfnz51ephgwGg0EJtmxhMBgMQijLFvDlUxW/DAaDMRpgpY/BYDAYDAajAcCkj8FgMBgMBqMBwOFdBoPBYDAYjAYAK30MBoPBYDAYDQAmfQwGg8FgMBgNACZ9DAaDwWAwGA0AJn0MBoPBYDAYDQAmfQwGg8FgMBgNACZ9DAaDwWAwGA0AJn0MBoPBYDAYDQAmfQwGg8FgMBgNACZ9DAaDwWAwGA0AJn0MBoPBYDAYDQAmfQwGg8FgMBgNACZ9DAaDwWAwGA0AJn0MBoPBYDAYYtXH/welMaY+YbcUEwAAAABJRU5ErkJggg==" } } ], "source": [ "rain = make_params(period=12, start=100, amplitude=300, phase=2, power=3, phi=0.3, sigma=10)\n", "y = build(params=rain, n=n, seed=5)\n", "y_pruned = np.clip(y, a_min=0, a_max=None)\n", "\n", "print(f\"lowest trend + cycle: {get_floor(params=rain, n=n):.2f}\")\n", "print(f\"lowest value in series: {y.min():.2f}\")\n", "print(f\"steps below zero: {100 * np.mean(y < 0):.1f} %\")\n", "print(f\"mean before and after pruning: {y.mean():.2f}, {y_pruned.mean():.2f}\")\n", "\n", "fig, ax = plt.subplots(figsize=inches(\"M2\"))\n", "ax.plot(y_pruned, color=GRAY)\n", "ax.set(title=\"Rain-like series, pruned at zero\", xlabel=\"step\", ylabel=\"value\", ylim=(0, None))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d5ba5358", "metadata": {}, "source": [ "So this model suits variables like temperature better than rainfall or discharge. Pruning is a simple step to apply downstream, but it does not come from the model: it adds a small amount to the mean and piles values up at exactly zero." ] }, { "cell_type": "markdown", "id": "08afd898", "metadata": {}, "source": [ "## Recap\n", "\n", "- `make_params()` converts what you know into parameters, and `describe()` shows all views of them.\n", "- `build()` makes a series, and the same `seed` isolates the effect of changing one parameter.\n", "- `fit_params()` estimates the parameters from a series without gaps, with at least 3 cycles of data.\n", "- `decompose()` splits a series into trend, cycle, remainder and shocks.\n", "- The shocks are additive and Gaussian, so a variable that must stay positive can still go below zero and needs pruning downstream." ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }