{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "pendulum-000",
"metadata": {
"execution": {
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"tags": [
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"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pathlib import Path\n",
"import sys\n",
"start=Path.cwd().resolve()\n",
"ROOT=next(p for p in (start,*start.parents) if (p/\"pyproject.toml\").exists())\n",
"sys.path.insert(0,str(ROOT/\"src\"))\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import sympy as sp\n",
"from IPython.display import display, Markdown, HTML\n",
"from physicslab.experiments.pendulum import load_data, analyze\n",
"from physicslab.experiments.interactive import show, measurements, fit_explorer, model_explorer, animation, amplitude_explorer\n",
"from physicslab.common.plots import fit_figure, trajectory_figure, scan_figure, apparatus_figure\n",
"from physicslab.common.theme import EXPORT_CSS\n",
"EXP=ROOT/\"experiments/course-01/pendulum\"\n",
"config,timing,diameters=load_data(EXP)\n",
"result=analyze(EXP)\n",
"display(HTML(EXPORT_CSS))\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-001",
"metadata": {},
"source": [
"# 淮南师范学院实验报告\n",
"\n",
"学院:电子工程学院 专业:物理学 班级:24物理1班 \n",
"学号:2414050120 姓名:缪雨轩 日期:2025.11.13\n",
"\n",
"**实验名称:单摆测重力加速度**\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-002",
"metadata": {},
"source": [
"## 实验目的\n",
"\n",
"1. 掌握用单摆测定当地重力加速度的原理和方法。\n",
"2. 练习使用游标卡尺、米尺和电子秒表。\n",
"3. 学习用图像法($T^2-L'$ 图)处理数据,减小偶然误差。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-003",
"metadata": {},
"source": [
"## 实验原理\n",
"\n",
"在摆角 $\\theta<5^\\circ$ 的小角度条件下,单摆近似作简谐振动,其振动周期为\n",
"\n",
"$$T=2\\pi\\sqrt{\\frac{L'}{g}}.$$\n",
"\n",
"其中,$L'$ 为悬点到摆球球心的距离,$g$ 为当地重力加速度。有效摆长等于摆线长 $L$ 加上摆球半径,即\n",
"\n",
"$$L'=L+\\frac{d}{2}.$$\n",
"\n",
"将周期公式变形可得\n",
"\n",
"$$T^2=\\frac{4\\pi^2}{g}L',\\qquad g=\\frac{4\\pi^2L'}{T^2}.$$\n",
"\n",
"测量不同摆长对应的周期,作 $T^2-L'$ 关系图。采用含截距线性模型 $T^2=kL'+b$ 拟合,斜率 $k=4\\pi^2/g$,由此得到\n",
"\n",
"$$g=\\frac{4\\pi^2}{k}.$$\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-004",
"metadata": {},
"source": [
"#### 符号推导与模型假设\n",
"\n",
"设摆球为质点、摆线无质量,忽略阻尼与驱动力。用符号运算解出 $g(k)$,并由一阶微分得到斜率标准误的传播公式:\n",
"$$u_g=\\left|\\frac{\\partial g}{\\partial k}\\right|u_k=\\frac{4\\pi^2}{k^2}u_k.$$\n",
"这里的 $u_k$ 是回归斜率标准误;仪器误差仍需另行评定。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "pendulum-005",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:11.252157Z",
"iopub.status.busy": "2026-10-15T14:33:11.251812Z",
"iopub.status.idle": "2026-10-15T14:33:11.409464Z",
"shell.execute_reply": "2026-10-15T14:33:11.408770Z"
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"jupyter": {
"source_hidden": true
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"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle g = \\frac{4 \\pi^{2}}{k}$"
],
"text/plain": [
"Eq(g, 4*pi**2/k)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle u_{g} = \\frac{4 \\pi^{2} u_{k}}{k^{2}}$"
],
"text/plain": [
"Eq(u_g, 4*pi**2*u_k/k**2)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k,g,u_k=sp.symbols(\"k g u_k\",positive=True)\n",
"g_of_k=sp.solve(sp.Eq(k,4*sp.pi**2/g),g)[0]\n",
"display(sp.Eq(g,g_of_k),sp.Eq(sp.Symbol(\"u_g\"),sp.Abs(sp.diff(g_of_k,k))*u_k))"
]
},
{
"cell_type": "markdown",
"id": "pendulum-006",
"metadata": {},
"source": [
"## 主要仪器设备\n",
"\n",
"单摆装置(底座、立柱、横梁、细线)、小钢球、游标卡尺、钢卷尺(或米尺)、电子秒表。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-007",
"metadata": {},
"source": [
"## 实验步骤\n",
"\n",
"1. **测摆球直径。** 用游标卡尺在不同位置测量小球直径 $d$,重复测量 6 次,求平均值。\n",
"2. **安装单摆。** 取约 1 m 长的细线,一端系住小球,另一端固定在支架上。\n",
"3. **测摆长与周期。** 将摆线长度从约 50 cm 逐渐增加至 100 cm,共测 6 组。用米尺测量悬点到小球顶端的距离 $L$;使小球在小角度(小于 $5^\\circ$)内摆动。经过平衡位置时开始计时,测量连续 $n=20$ 次全振动的时间。每组重复计时 3 次,求平均时间 $\\bar t$,再计算 $T=\\bar t/20$。\n",
"4. **改变摆长。** 依次增加摆长,重复上述测量,共记录 6 组数据。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-008",
"metadata": {},
"source": [
"## 原始数据记录\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-009",
"metadata": {},
"source": [
"### 摆球直径测量\n",
"\n",
"表 1 摆球直径测量记录\n",
"\n",
"| 测量次数 | 1 | 2 | 3 | 4 | 5 | 6 | 平均值 |\n",
"| --- | --- | --- | --- | --- | --- | --- | --- |\n",
"| 直径 / cm | 2.002 | 1.998 | 2.000 | 2.004 | 1.996 | 2.000 | 2.000 |\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-010",
"metadata": {},
"source": [
"### 摆长与周期测量记录表\n",
"\n",
"注:$n=20$ 次全振动。读数保持原记录,平均时间、周期及周期平方由未修约读数计算后显示。\n",
"\n",
"表 2 摆长与周期测量记录\n",
"\n",
"| 组号 | 摆线长 $L/\\mathrm{cm}$ | $t_1/\\mathrm{s}$ | $t_2/\\mathrm{s}$ | $t_3/\\mathrm{s}$ | 平均 $\\bar t/\\mathrm{s}$ | 周期 $T/\\mathrm{s}$ | $T^2/\\mathrm{s^2}$ |\n",
"| --- | --- | --- | --- | --- | --- | --- | --- |\n",
"| 1 | 50.50 | 28.78 | 28.74 | 28.76 | 28.76000 | 1.438000 | 2.067844 |\n",
"| 2 | 60.20 | 31.40 | 31.38 | 31.43 | 31.40333 | 1.570167 | 2.465423 |\n",
"| 3 | 70.10 | 33.85 | 33.88 | 33.82 | 33.85000 | 1.692500 | 2.864556 |\n",
"| 4 | 80.05 | 36.16 | 36.19 | 36.14 | 36.16333 | 1.808167 | 3.269467 |\n",
"| 5 | 90.30 | 38.38 | 38.41 | 38.35 | 38.38000 | 1.919000 | 3.682561 |\n",
"| 6 | 100.10 | 40.40 | 40.43 | 40.38 | 40.40333 | 2.020167 | 4.081073 |\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-011",
"metadata": {},
"source": [
"#### 重复计时的离散程度\n",
"\n",
"从原始读数计算各组均值,再绘制 $t_{ij}-\\bar t_i$。菜单可以选择测量组;连线只用于辨认同一组的重复读数。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "pendulum-012",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:11.411137Z",
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"shell.execute_reply": "2026-10-15T14:33:11.809203Z"
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"data": {
"text/html": [
""
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"source": [
"show(measurements(timing),first=True)"
]
},
{
"cell_type": "markdown",
"id": "pendulum-013",
"metadata": {},
"source": [
"图 1 重复计时的离散程度"
]
},
{
"cell_type": "markdown",
"id": "pendulum-014",
"metadata": {},
"source": [
"## 数据处理\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-015",
"metadata": {},
"source": [
"### 1. 逐组计算重力加速度\n",
"\n",
"平均球直径 $\\bar d=2.000\\ \\mathrm{cm}$,有效摆长为 $L'=L+1.000\\ \\mathrm{cm}$。按 $g_i=4\\pi^2L'_i/T_i^2$ 逐组计算:\n",
"\n",
"表 3 有效摆长与逐组重力加速度\n",
"\n",
"| 组号 | 有效摆长 $L^\\prime/\\mathrm{m}$ | $T^2/\\mathrm{s^2}$ | $g_i/(\\mathrm{m/s^2})$ |\n",
"| --- | --- | --- | --- |\n",
"| 1 | 0.5150 | 2.067844 | 9.832166 |\n",
"| 2 | 0.6120 | 2.465423 | 9.799855 |\n",
"| 3 | 0.7110 | 2.864556 | 9.798779 |\n",
"| 4 | 0.8105 | 3.269467 | 9.786690 |\n",
"| 5 | 0.9130 | 3.682561 | 9.787698 |\n",
"| 6 | 1.0110 | 4.081073 | 9.779947 |\n",
"\n",
"逐组重力加速度的算术平均值为\n",
"\n",
"$$\\bar g=\\frac{1}{6}\\sum_{i=1}^6g_i=9.797523\\ \\mathrm{m/s^2}.$$\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-016",
"metadata": {},
"source": [
"### 2. 图像法($T^2-L'$ 图)\n",
"\n",
"以 $T^2$ 为纵坐标、有效摆长 $L'$ 为横坐标,令 $x_i=L'_i$、$y_i=T_i^2$。数据点为\n",
"\n",
"表 4 线性拟合数据\n",
"\n",
"| $x_i/\\mathrm{m}$ | $y_i/\\mathrm{s^2}$ |\n",
"| --- | --- |\n",
"| 0.5150 | 2.067844 |\n",
"| 0.6120 | 2.465423 |\n",
"| 0.7110 | 2.864556 |\n",
"| 0.8105 | 3.269467 |\n",
"| 0.9130 | 3.682561 |\n",
"| 1.0110 | 4.081073 |\n",
"\n",
"含截距最小二乘拟合的斜率和截距为\n",
"\n",
"$$k=\\frac{\\sum_i(x_i-\\bar x)(y_i-\\bar y)}{\\sum_i(x_i-\\bar x)^2},\\qquad b=\\bar y-k\\bar x.$$\n",
"\n",
"计算得到 $\\bar x=0.7620833\\ \\mathrm m$,$\\bar y=3.0718208\\ \\mathrm{s^2}$,\n",
"\n",
"$$k=4.05521641\\ \\mathrm{s^2/m},\\qquad b=-0.01859206\\ \\mathrm{s^2}.$$\n",
"\n",
"由斜率求重力加速度:\n",
"\n",
"$$g=\\frac{4\\pi^2}{4.05521641}=9.735218\\ \\mathrm{m/s^2}.$$\n",
"\n"
]
},
{
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"execution_count": 4,
"id": "pendulum-017",
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"shell.execute_reply": "2026-10-15T14:33:12.162116Z"
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"tags": [
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fit_figure(result)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "pendulum-018",
"metadata": {},
"source": [
"\n",
"\n",
"图 2 周期平方与有效摆长的线性拟合及残差\n",
"\n",
"图中误差条表示重复计时均值经传播得到的 A 类标准不确定度。以 $9.81\\ \\mathrm{m/s^2}$ 作为比较值,相对差异的绝对值为\n",
"\n",
"$$E=\\frac{|g-9.81|}{9.81}\\times100\\%=0.7623\\%.$$\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-019",
"metadata": {},
"source": [
"#### 拟合、残差与数据敏感性\n",
"\n",
"用全部六组数据重算斜率、截距及残差。菜单可暂时移去一组观察参数变化;正式估计使用全部六组数据。图中误差条是 $u_A(T^2)$。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "pendulum-020",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:12.164785Z",
"iopub.status.busy": "2026-10-15T14:33:12.164557Z",
"iopub.status.idle": "2026-10-15T14:33:12.294241Z",
"shell.execute_reply": "2026-10-15T14:33:12.293522Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(fit_explorer(result))"
]
},
{
"cell_type": "markdown",
"id": "pendulum-021",
"metadata": {},
"source": [
"图 3 拟合参数与残差的敏感性分析"
]
},
{
"cell_type": "markdown",
"id": "pendulum-022",
"metadata": {},
"source": [
"## 实验结果与讨论\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-023",
"metadata": {},
"source": [
"### 误差分析\n",
"\n",
"**系统误差。** 空气阻力、空气浮力、悬点与摆线的实际条件可能使单摆偏离理想模型。浮力会减小有效回复作用;摆球的有限尺寸与摆线连接方式也会影响模型适用性。当摆幅增大时,非线性单摆周期比小角度近似更长,用小角度公式反推 $g$ 会产生偏低的估计。实际摆角未记录,不能据此直接作数值修正。\n",
"\n",
"**偶然误差。** 手动开始和停止计时的反应差异、摆长读数重复性会影响结果。连续计时 20 个周期并重复测量,可降低计时的相对影响。由本组重复计时估计\n",
"\n",
"$$u_A(\\bar t)=\\frac{s_t}{\\sqrt3},\\qquad u_A(T)=\\frac{u_A(\\bar t)}{20},\\qquad u_A(T^2)=2T\\,u_A(T).$$\n",
"\n",
"含截距拟合得到的重力回归标准误为 $0.010102\\ \\mathrm{m/s^2}$。这是给定回归模型下的统计量;仪器误差限、长度测量不确定度和当地比较值的标定信息尚待补充,因此不能将它作为完整的合成标准不确定度。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "pendulum-024",
"metadata": {},
"source": [
"#### 不确定度的数值传播\n",
"\n",
"先计算重复计时均值的 A 类标准不确定度,再依次传播到 $T$ 与 $T^2$。保留未修约数值参与拟合。"
]
},
{
"cell_type": "markdown",
"id": "pendulum-025",
"metadata": {},
"source": [
"表 5 重复计时不确定度的传播"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "pendulum-026",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:12.296217Z",
"iopub.status.busy": "2026-10-15T14:33:12.295959Z",
"iopub.status.idle": "2026-10-15T14:33:12.360042Z",
"shell.execute_reply": "2026-10-15T14:33:12.359291Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" \n",
" \n",
" | 组号 | \n",
" $u_A(\\bar t)/\\mathrm{s}$ | \n",
" $u_A(T)/\\mathrm{s}$ | \n",
" $u_A(T^2)/\\mathrm{s^2}$ | \n",
"
\n",
" \n",
" \n",
" \n",
" | 1 | \n",
" 0.011547 | \n",
" 0.0005774 | \n",
" 0.0016605 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.014530 | \n",
" 0.0007265 | \n",
" 0.0022814 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.017321 | \n",
" 0.0008660 | \n",
" 0.0029315 | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.014530 | \n",
" 0.0007265 | \n",
" 0.0026272 | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.017321 | \n",
" 0.0008660 | \n",
" 0.0033238 | \n",
"
\n",
" \n",
" | 6 | \n",
" 0.014530 | \n",
" 0.0007265 | \n",
" 0.0029352 | \n",
"
\n",
" \n",
"
\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p=result[\"processed\"]\n",
"display(pd.DataFrame([[x[\"run_id\"],x[\"time_mean_u_a_s\"],x[\"period_u_a_s\"],x[\"period_squared_u_a_s2\"]] for x in p],columns=[\"组号\",r\"$u_A(\\bar t)/\\mathrm{s}$\",r\"$u_A(T)/\\mathrm{s}$\",r\"$u_A(T^2)/\\mathrm{s^2}$\"]).style.hide(axis=\"index\").format({r\"$u_A(\\bar t)/\\mathrm{s}$\":\"{:.6f}\",r\"$u_A(T)/\\mathrm{s}$\":\"{:.7f}\",r\"$u_A(T^2)/\\mathrm{s^2}$\":\"{:.7f}\"}))"
]
},
{
"cell_type": "markdown",
"id": "pendulum-027",
"metadata": {},
"source": [
"#### 非线性单摆的数值求解\n",
"\n",
"小角度公式的适用性可由完整运动方程检验:\n",
"$$\\ddot\\theta+\\frac{g}{L'}\\sin\\theta=0,\\qquad \\theta(0)=\\theta_0,\\qquad \\dot\\theta(0)=0.$$\n",
"探索初始摆角 $5^\\circ$、$20^\\circ$、$45^\\circ$、$60^\\circ$ 及不同摆长,比较非线性解与小角度解。默认情景取 $L'=1\\,\\mathrm m$、$\\theta_0=20^\\circ$、时长 $10\\,\\mathrm s$,重力参数使用本次拟合值。实际实验摆幅未记录,这些情景用于说明模型影响。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "pendulum-028",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:12.361519Z",
"iopub.status.busy": "2026-10-15T14:33:12.361335Z",
"iopub.status.idle": "2026-10-15T14:33:13.079744Z",
"shell.execute_reply": "2026-10-15T14:33:13.079075Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Q8z6TUUf1QcCC9cJrQ4HA9BuClZSN8EHvHJo733rrrXX8E/oO8DvpHUCiCN+PJBN/B7+X+nt7LfQqQF3KOR9CM2lk/AQ++Fl+J0oUykvZLwlm8RpREeAvUY7C37zFFlu4WiOHvwQ4CNYRvBQsmuIxCNwQHIrIXsj+k/HPuvPLokbiwmgpMlxEAFnkQrQU5Ps47CbxI/DWkEy6GA4HIr7IxIgSI58mI4CjFdawCdFU6NdC4yJA0UW0nqAvRmd9jYqKYT2yDnHO+DesbYwOjCkMWI3qE82BwJPZLgSWyDLhIAGyWcrxmgIqAYx5znmMdLKFF1xwgVeyCNFUcPiwG8N9khIo9lTAMWssIEUHdzr0E4DC8ccBo08WzhgOHOuf2n7UKqJhGjuvcFRpMEt2nAA1Sku+DrvoY6sRSDAlEOAD4SyTADX4GfObqNOn4SJ+ExPMUG5yjlLPzx7GY8C3AJ63Rnj2uwm68+9xzhmJiwKEvYn3n0Qr2XbAgWdNbfy/r0MobUJ1wJQCEpf8ffQvIRhBnxPOYXstOOoEPUL4HgEIezxmzBgf6OD/IkBAvwNeOyUq/F+XXnqpv5ZcH+s/UUvk8JcglGI0FSJWeYIbi4VNcAPjlWhaOSM+hKgPmkAyApKILcYB9U/l1mOFcBBg7NLoDwMBaRhlOTfccIMuvmgWrCErX+IAJ5sArE86/TYFersgGySjQYMhDF8CVNRRIqUWojkGfN++fb3Ru+6667orrrjCBzyBySZNCSRxnrNXYrCSNeX/wxjGUEdaHSoBhGgMHCvWIPYhwXiy9WRDTXWHM0gWtDEo00NNi4oFJ9/WNEEp1CysdwKn7KN5hutggZQw4BImTtgvOHOwsazvGM64vQ+UNLOXIGNHtUxApXiiDI44zi5Zbux/kn9ce2T3OMC8rzi42F42VQHIcKMKIEtvzjhlCATPSznnIajqyMbj9DNikHIQ5PycoWTaaaROcJI9yqbjFENCCYUJDjvBAs516wnAHlq8v/G6wka8dv0GDRrka/Z5zdiaKAV4zLWjVAClKr+fMgMUAJSXMho1DuTwixbBZks0jIUO9CzgxhaiuSBt9pvTrLN6I4HDm822ORBNxSggeECJDQcMNWPFUjchyoFsRNjMh8OcWjwyU00Fg4JuxGQ+cKroUk1WhH4xGC/NXfMiv2CAoh6hNwTr1JweMqCoDpsChr/1KsKROu6443zWi6w/mSo16xVNgX0ORRTrkgwoThABJbLIgKy/nHnnwFouXs9kcffYYw+fLEAyjZS6oW7vIQQLisdqJwHuZeu/0VQ4PwiK4ACbZB97KqyJ5zHX35ruEdTD7gqhxIzziYbJONT8LGcUmWx+lj2Hc8uSfTjR2F1h7zIk+JyRqNdCyJoTTKwPXl+xCgFVB4F2nH2CP5QV8Dp4baiMCUhg45HkIajAmV2qr861117rM/xI/VmPBBH4Xfg0JDAts29Y4DTEGk9aGQJBhrAkgdfF/48KhcfYofQIwF9CJch1rCVy+EWLQSbIzcKCtrET5Y76ECKEqLB1N+UAIWvaUFf+xjCnidouDgg2bTZZG/UnRFMgwwHsdRbkJBtiGZKmgiPG3okRRR2jGU4mSxSiOZClYqwexidGLJLS5pQ2EhjFeCYb1rt3b79GWa84ajgAyvKLciAwag3TyPiihCVwZLX2BDv79OnT4ouJU0lWmcACdd/lOvw4aNRXZ43iTHJxDT80VsNPkICkHkERfg4HGql+KOHnewRceG9J+hFoxDG3LvQEd4rLfQkC0A8EnwF1AIQ1/KwZlESoQqwsCWeZQIJND2EfojSOMgCUBth5BI1oAIgzj8OPPWkj/AwakJKZp+zJAg/8XiCQUUph0NAZz7/F70GxQoAlDBaQaOLv4Dl+juAC14kPrm0tS7/l8IuKGBfUtiD342Zjo0W2IkRT4ZAgqssHc1CpGyu3UV9DcOAgk77tttt8nRYyNpuDLkQ5IP2zecFID4nW07ysf//+zb6AqAMoISMjhSFAp2B+D3soWf5KrH2Rfdgv6QFh5XTIamm2ZTWvNv6xqWCQ4/BjqOKw0Vkdhx9njc7TxSOLhSgF2XacISD7SxCKbu9hE7fm7nUE8cnmdujQwZcA4uTSVI4sMGUp5fTsIZOeRKrxusKRcuVMhaEZInXwBKW5pjjRBP9CmITEPkHAGtsflUVj08lQENHomx4AlLZhoxGoCWv4Sc6YUw7sbwQFLIOOM418H3tuypQpPiBBgghZPf3U2LdYe4zrC6GELrwGBDRZk9iE/HwptYet3/rgd/M3E3iwAAr/F5MoLJjF9/CVinvA1Qo5/KIiIKUiQkrmC8lWrSNXIv0gHyVoZAYr2SMMzkopB5BfIU/j0MIgqLWcSqQbm1NOlh+JsxlDzc3uG6xxMhxkFchGUMJCsAsHyzIbQjQEBjMZfTJvODzUyppMlzFbzYUAFP8ntcA4+mTW6PyPkY6xTZZM57xoCBw46peBMx0pPs/RX8L2VUpFmgNBLjK52A6mkkJxhVwbZw+Jdzkd+5srm08qZMdxvoshwIIEPnR2wxp+oFSHjD517HDUUUd5KT716MVyf4PvU8rLucUEs+7du/v3oxy1L/sJH+XU8PP7ceT5GYKOZPwpNeL3sA7oBxAGB/geNf4EABqCoDtnL4EA1gv/n43aZRpAfZJ+w5r7lcrw07jPAgi8ZvZS/k7KolC6hOP6qo3SB6IiUEtjdTJEudQYTTQVkzYDmVQOmEplONmETTZGRJhMv9UOClEOHOoYJqwbDm6MD6L3LQWDiLpDpJUEEEwGSZZEiHIwh4o9jj3Tzl/Wa1Nr94uxoCtOBGUs7MuA0RqOJxaiFDg7dtbiGLI+kZZbd3Mc9PocycYggGBN+wiQ4sASQGCuO9CIjaBAHu1xasRx+nE+7aO+Gv7wZwgQhhloavLpKB++R0xIQD0RYpl0nH1gapkp4ioJ8nwa3iLLJ8hJcIAzkww9ShGDn6EhZGONIGeZZRavpmPKDrYhAUz+T14/UwIITNG0sL7APoEAggL8GwuQWsCCoBPKByt15mdR8vGYoArKiFBxUW2U4RcVg+ga0UA2dG6WOMZOiHTCxois2Wq72AQrWcOMdJqDi8yUzYklQ0XNlxDlgqFz7733RlLpStcwI/nDEEAujRKFsZRkKISoDwx2ZmFDp06dvPqEPRSoHW0plAMglWbts0cj4yd7Rq8JlFKM6Sp3HKXIHzhmQLkn6xOsWzvOVUvOeZx9srJ33HGHz8ji4NJJnUAsz2FXUNOft3HR3I/cl8VQzhg6mFyfhmr4UU6g3OUcInsPSO9xVHGCcWSx89lvGK13+umn+wZ12Fso4cqZutAcCFQQzCTIwO/h7zr22GML9iGUAKwPGg6Ww9///nefoadUD/+FYCYJKL5GQVWfpJ81h20JXFtLWkGxUoESwDgl/crwi4rBTW7ZKTZ3a2olRGOwOX/77bf+MYcL9faN1YA1Fdt8CUhxaOHw1zK6KtIJRhHODlB3igEALandb4hQ3jpq1Kiq/A6RLWWUZe1oUsa+BgQ2aQrZUtgvMe6tNIrMLEoUQJ5K/asQpcAhxFkCnH3sQmTYOGhAZtVsxuaCw2rZZ+4FWGuttaIR2Tj8oROWZ9gnrDkd8LghGwiHGVk85x9NOpHNU8ZDN39m3qMGQPHD+0m2nfeC7/H1/fffX1B/X+7vLAZlUTE49gQaaBiOkoGg0UknnRQ1KaT3E6onK3U69dRTS64BXkfxa+Hn6H/C7+V77H2Wnbd/E0JgnjGR9m9R/9UHf3t4/WuNHH5RUZDRsKCZpU5XdCHKzSIRMMKgJHNUjTmlZEqtHouOsh999JGP5ArREGRPyWoOHTo02tNYr+utt15FLxwjfTBOTEIIzBpuyIAQ+Yaz1vYwJpqQkcMABmadm9y5pVDjilyVfRnJNAFZc7IIgglRChwz6upx/Mj8mgNuAapKBE3JmuLgA3XYZGL5vf369fPPIem3kpe8g9Na7PA3FAwh6UJDRJxpatGBPkt04UdaT2kkTfyMiy66yHfsZ3+gmz/Jm2Isa460nb0q/KBMgNdkX6MoopEeao0QFAWoCTiT2X9oFEgvAoI8qDbJ6pP5R+3BZxRzq622mm+Ga+DEE8zgZznjUX3yf7CvoUoh0EkmnkQRCgj6BvA3kaEPXw9lVDYNgnIGGhFauUox/G0N9QKoNnL4RUXBCGZBU7eC9JWum0I0BoYpGzPZIiLEdrhUEowAItBmJDB+BeNDiIawrBHGC9kpqIaMGeMKgwNj2Lozo3phcoUQpcBINfk+QSIbN8raxOiuFOyXxxxzjP8dZGkxgK22nzrpcmWzIl9QCoLjTUM3FCc4PMwlB7rqN3d6RDEEFQDb0xQnKKVYtyCl1B9w/cMyNBziUln4hsA+I7tOALAUZN1xeAmO04m/GM439hD6KlFiSYKHfiB88PoYSWtfk02nAaM13SMozv+LionfQ88AnHL+T85JggkoEJD3W7ATR58gxQ477FCQSKJUgfOVgDoKBtYNPQ4oS+as53fj7FvNPWuY9Uytv70eAkmmdrJ1SFNExkOW6p1CMKG5/SoqgWr4RUXB0EBeQx0hRgCfw3mdQpSChjvW2bR4ZmqlA1IcKBwsZPkfeOABf7C0tNO6yCZkTK05EUYFBgWR/uZ2lW4IjNN27dr5LBUGCAEpjA2yKNpDRSnMuaFJF+PHrEs1hiplS9UEBQGyXYL6OP3V3LdFumHPBNQo1kSvkj16aJRGEAobAkeO5oDspzTvIwhGxracjvFZh+x76ISTva/G6FeC1/W9v9Tdo+aEptb4E6ygx00xOO3sedassRiUnaeffnr0Nc48owYBRQCj/Az6PbCf4phzvXDyG7Ini0tPmQbFmiOoUQzNKksFQWqFMvyi4iBpMQcK6Y8Q9YEThcONUwMc0uHmW2moF7S5vBwCZAQwVoUoBbN9rWbPepIw2hFnvBogFwQkj/wewFi1HgJCGDja9D6B9u3be2fKsv2ljOJK/26apVm2kNITIRrD7EGyu/U5Z80Bp9UaAn744Ye+NNB6BACB2rvvvjv3b1Cxs1kNZ78xzNmvJKgUmuJIv/322z6YDuHoZ+r2rSkv+1tDzj7U12cKO7ZUJj9OZx/k8IuKw2beu3dvt+KKK3rD1eZZClEM0X6kojj9dCjv1atX1ec6092VjAPZWz6T8ReiFEgBgWh9NTJTxSA/tCZWFlRAjUITISGKs1p0h2ZtkmmyEXkYoT179qzKxaLvCXWwRxxxhN+zbVY30lz69ghhjhON0gimm2NFbT2KEHOyKq2qQ2pOHwv2Z2wJ4L6wjuiWVBDi+f+d6wQ8rMO+SfQtaGp7W5aQwy+qAvUrq666qpe3WNdgIUplUMnyI7XDsbFup9UE2fT555/vnSubLa2glCgGCag1HSI4ZE44ctFqQd2h1f6RpbKRfDJWRalMGfWj1Jbi1Dz66KP++WoHTa2xFkZzWNoipZQI1wgBUhx8gkTwyCOPRD2dLPNeSairpnabxmmWecWhM8eNvlLVmAsv0sVvv/3mSxkAH8X6PEAtgqZxIodfVAVqTk0Ka7JDIUJw9HH4geYpyLKs22k1QWpFVsyMVV6H5H6iGFubYa30lltu6ev7qkk40xdZIUyfPj1qGChECOuRhlU2vqqamSn6AtikE3pN0Fxy+eWX919LhSIMc6g4Z3GqwoAQsubi+eTVJLwfdM6L119/3atNTBVi/PDDDzULmsaFHH5RFXDe7IbBwbIorxAGElDm9AKdWvv06VPTDqZk+q3TrGT9oj6Hn33MZKms0WqDA2Vy17DxD1MshCiFOTIo6qodNDUFCrXSqGCsFpvAfqkxXCJ/pSbW6JRxeZTN4UzZaDycqWoHTcESTnSit2kA2kPF8/+T82NrYgMaOPsWNK2F0jQO5PCLqmEj0NjcbX61EKUyqMj/auFMhWCskmlgzisZVAWlhEGTJ8br0I8E9YnJ+a2pXjVBhopThUFC0yDLoFozISGYPY1cmrIPyk3ofG0KlGoHTRmnZpDlD5uvSdYvcPZt1ritFaY1mTNV7XP+tddecyNHjnRnnHGGV++BNQLmewpK5Zfff//dByoBdVI4ktD6S6BAsTGPWUMOv6gabLIWZcWhEiKEmjoge0rNFM30agnRfn43DhW10w8++KDeIOHBaWJkEGN5GKVj+1mtFChkwegzwbxjGqDCtGnTFJQSXo46btw471wzwYGRpuZgbbHFFlW/QsxTt+78OPyMRCOLCtpDBWvC1EmWWbdgJX0nqq1AQTnIXslna7QaTv4xx07kc2z4iSee6Hs9EBwN91RToFC7XwsFShzI4RdVAymsyfpxqGzzFYLM1BdffOEvBA3zcHBYI7WEUVZgmdQHHnhAb4wo4Omnn/YSVajmuMhi6NRv2Yfw90qSKgieWyAdJUiYmercuXNNjGaT9b///vs+aGqBBl4b5VkinxB4evXVV/3jNddc08v5cabYR607P8/V4lwPgw8EpZgaBVJK5Zu//OUvfprDUkstFT1H4NQaSoaBgKwhh19UFcaiANJY1UkLgwh86Pzj8NcamgmZ8UHWitFSyPyFMGiGZs5ULeT8pWCaBAaKSWNFvrG9E1UU+1YcmanQqaJ2P9y/7Z4R+WPGjBmRdJ/6fUCNYkHTzTffvOqvgeC9jeIL7QwLnLJeNUJShFiyhwRl165dXVaRwy+qCpF/q6Oyzq1CzJw506+LH3/80WeM4qiZwjjGmQIkqrweRgeJfINBiGONUUjkHxj1VO3MVCnInlJSYF2tCUpZA0GRzwwqXaYtgzp+/PgoM1ULOb9BdozGkmTLWI+8lsUXX9x/T7L+/EKNPKDWs+78FgBCsdSlS5eavA4LNrCHWxAfdYFh3dhFfvjqq6/8WEZTR4V76uOPPx6d82Fdf9aQwy+qCkYB2f0JEyZ449nGYYh8Q7QdRwYHZtNNN42tZsoMA34/9YXKTolnn33W3XHHHe7cc8+N9qvQWKxl48BTTjnF3XzzzX5tAsaKZXRFPjOov/76q3+8xhprRI4L9dK1zEwRpB04cKDvM0FHa7627O3EiROjRpciX2y//fZu8ODBbuedd/aOEzPPbY3i7Ndq1FnYfd0mBhCUst4TeQ/sDxs2rEVqsRNOOCEKNLYUzjT+v6Y2U3zllVfchRdeWMeBr4/x48f7M/3oo4+OFCdw5plnRtOiGjrnOY9Hjx7tk1SVeD1xIIdf1MS5+/LLL/0GYd2ERb7B0ae7NON6evToEdvrIMOPsQqtW7f26zM8DES+INr/xhtv+Md2cJPZ32STTWr+WugtYU2vKHuhrh8k68+3+sQyqKwNGvbZRJxaz42mzISyAsMcfpw8q9kW+QLFxworrBBl8hmBZoqkWgZNl1xyyWi0KY6YvTazNXD+8px8otcGzmlzbB0CzmeddVbFVBK8L5yvJF/o51QMNmIpKBGeNGlSwd/AYxJJxR+81lNOOcWXm1CeF467Za/CN8EO7NatW9TngZ8lCHHrrbe6Aw880AdYhwwZ4s4777yKvJ5//OMf7rvvvnO1RA6/qDp0ZbUbTBlUAXZYsNnbJhsHOFFLL720f8wYNjZ+MlQin7z11ltRDapJp2mENs8888TyeshKWQmMBR1QSlmWV+QHSo4sW0lX/LfffjtqfBpn0DTs12MBAAtEiHxj6wBnqpZrlN/H2LViVQx9LoCv8xyUIpiMsjJ0fMsFx5l+NthO5sCOGjXKN7trLOt/ww03uKuvvrqOA4wdSD8Sei6Ez6MWWWeddUoGAux3Tp482e29994+gWR/D595rxml26pVK+9Yv//++z5QiuMe8t577/nn1113XbfQQgv550aMGOGOPPJIH/ynNOXss8/29gBfn3rqqSX/tqa8HhILJL2ac/1bghx+UXXIPNgoFuSyVtMv8gfZH5r48AFssiZXjgs7AIj8IkOUsZpfzKHCYMRQhLgVKMZyyy3nPyMpxKgQ+YIpN5YtDeX8gPEeFxi2GK84EVZWQBYwydJWUXlQcRbbdlZ+hMSeZnpxnOs4Vzh7QK8gc7LyLOtv7kQkJO2oA3CAcVztA+ccp/zNN99s8N+TrSd7bv+OACGTFHh82223eWUG0nkmffAcWfDbb7/dBwRCULlxNjIthN/L9Bo7r+l3Q2adYDkfBH5Qc8w111x+j7JAkDn71uMhPOf5Oer56YvC72ks4N/U10O/ExpL1trhr81QYZF72PAxAHCo2DCsdlrkCyRSHBpkqIi6xmmoGqxFak4Zb0V2F4f/9NNPj6T+Ij+Y/JMgJYYHxCHnN5ClYhjQfAqjAcOHfZQsf7XnWYtkgcN08MEH+0wT56lJS5H2W1fyWoNk+6qrrvKP27Rp441kOl4TmCBbZ+P7RLYhCMl8c/arHXbYwXXo0ME7PtbEL449dOWVV/YOIw6WlUOxr+P0c8aT4SdAkZdz/qOPPvIOdUtst4MOOsgNHz68oMky6jOURiTzGisrojyONWJON444Cs++fftGSksCNHvuuad78cUXfcad96g4QEGW/corr/RO9rXXXuvuuecenzwyyNAfcsgh0dfsRbPPPrt3+pdddlm/P1EehWNOEorfwd+B0480H4e/KTT19RAciyPRpQy/qAlEtuaee25/42reeX4xhwq+/vrrRDj8GMv9+vXzdYc4Ux988IHv5iryBY17rHmPfcYIwUCIEzOOyHpgSINNDxD5gcairAUcKgI/BM4BJzsubFwkMH89dOyklMoPBKFwmgicW1lHuEfFsUbJnlKOZc6+YSoUAhKUcOXl/SGxYcrKEAJ2jdk7SPUJnhB0RHofyu7POecct+uuu3qVD1+Tkee6kz0vhjVCUoVgCz+LUo19jZ+1/499DWeY/WSPPfZwu+++u3fKQ+k8PW1wmvl5FEYEDggSsP5uueUW79xj09EsnLIAGt+2adPGO+Tsnag5+b1I9HlNBCrI5tPXgIBDQ0GgYuVSU18PTQOPO+64aPJOLZHDL2oC2SiTe1ltrMgfbOLARkg9E1H4pBAaq2zcIl9YNgqQGdqaiDsDFMr6bf45e2ipukaRD8LSuDgMRwMHgN4ntrebUQ2aJpG/cx3HZvnlly94/znnk6ToDEcDlnKAs8iYMWN81nrFFVes8z2c6sMOOyx6D4tBibnvvvt6ZxgpOueOSfL53tixY31Cz54jg4+0vzjQAqjmkMfjbPOz7B844GF5AFl9lAA8PuaYY9zxxx8fNcIj6G1KN75/9913+6AjexD9wWiw969//csHIKwDP6+ZwP0qq6wS7U1Ws8+ZTzCBoD4lIARUCTZw5pOcKu41QBCL/gUENZr7elA9MdmEa1pr5PCLmoCU3+ZYEyGrb7SFyC5EPpGVWQaVIFDczlRI27Zto7E9GNQiX1ggEqPVaqXjbChpYEBbrV9oRCkolR+Ks0o27YZ1QVOrOLF562QJMX4tAIFkFmNXZBsCT+YscoZi5+HYmTPNemhuzXilIENtezrlhEzkgTw07iNjjcycEZoE5IrB+aY8iCkbYdA7VOqMHDnS7zM4tjj51L3zQeKG99q+5oPrjJrXGuCFkPnGF8BpxrnGCbe6evsgKMHPhM+ZaoTMPI4y64nnsddw6HlMoGHAgAFuxx139Nl0+vFQCsdrIeD0l7/8JdqrYOrUqd4P4fqgNmVUYagkwPG3IMSHH37olQIEKGg6aKq75ryeTp06+UCG+UO1RDX8omaQzSVqxg1IwxSiXCI/WBMTc/jDSHvcsNFTu8VmzKHH2B4OsqbWcon0wmgzsg/UJZshxHNxgzGBsYVhQhYCgwNDi2zDLrvsEvfLEzWAmlBUJxisGJDmTLFf1brxUzEYtwSf2EPZ4wnkXnrppT5IgYS1V69esb4+UV3I+BLMB3OoCPbYc3EqUOCSSy7xAQnKofbZZx+fZMD2QGrN+mRfxfnicWMTeij/22mnnaKvSWDw/zTGEUccUfD10KFDG/033Octqbk3kLMT5MDpbMg279+/v+8kjzQf2b6x/fbbR4+xicwRBpx/bCT7GkKnuZTDb+MS7WeZmBAGr3GueU9Kge8AfJ9/Q18BXkP477HjCCgQeKAun/eIMs1//vOfBc332EP53ayH3r17+685U8nSU3ZA4MEceytVCRv+Nff1cH15jtKFa665pqZJL1mzomawmVgNNw6VHP58YfPNOTTYQJPUdAynymZcE8Wlto+v1XQqP1gX3csvv9x/jZMdzhmPk9BYw1jFKCHLi1NV3MFYZFN9QmMs1CdmwEIS9lCcCfZPjHdeZ58+fbwDhRHMGpXDn49zHcjYFivkwgZvccBaZJ/kddp+SR0/jjoOKJleAmdkeRvrMl8MDlxT/w2U82/4v1sK9yCZfZOgNwS15Zx9u+22W709Yvj/QkcYCDiGX4cOfTE4vWGWHceaRnnFAQOCHQ2Bk2xd/nHiw39PiQENJFHDEbTnvKTvya+//up/nwVI2ZtQJBHcoIafXgTsXUCwiuy90dhksaa8HkpcuE/oXxW+nlogh1/UDDYK23AZMSTymeFn019hhRUiWV1SIMqNUc2GzBol4iuHP1/w/lsjp7gN1frAycPhJ2iGGqU46yCyBU6JOfjsUSbnhySopAhCUAP79ttve0cG45ls6qRJkwpeq8j2uY5DU1wSRzlSmC2OA+4Z1DGMhMPuJEsf3jfI+nH4kaATvGqI4mkYrPXG/k0pyvk3jXW8Lwfq7pGiY281Bs4qs+ePOuoo3yHf+sWEcA1J2lEiATTbQxYfZrRpXlcfBCu33XZb/5j3BMd64MCB0Wg8IHjIe3HGGWf4+v1SWBkBeyP7j/17RpXyN9A0EHCmKTPhfftvEBzn96Lk42sLUuGf2N9BE76m2KctfT21Qg6/qBksbqJf3BREXZHYWMMfkW1w8u0gYDNMgqFayjDg8LcDB2OVZjYiP6A8MpIg5y9F+Lp4vXL4s+9QWYaJ7BhGPBCYDBs6xglGLA4/TaxwCghK4fATPGuq8SzSA06LZas5P8l0kjVFtpyUPdQcOkCBgrOFio97iYApgX2y2zhl5piVC5L7Yrl+OTTn3zQV7kd6aODAl8tee+3ls9HWJK8Y5OokQaz+nKBzUyT91LCjorMAEf8W9QEZeIPffdJJJ/lyNSu3KAbHub6MOvabOe7sRZRp8H6PHDnSl8SdcMIJ/jn8ECT5BCttfyVgRdYd32SppZYqO8Pf0tdTK6QFFDXFDBScfzWdyg9s3GygbOY4/kmQopYyWq2eig2bCHAlZHUi2SD1O/fcc73hYbXRNA0qleGIE7JTzA1mrKllzcIAhch2M0mMY4xTy56iQElKOQcZS+6Zdu3a+exfuL+rAWp2wQEko2nnJyCRN4cxCSopnCtrIBeWH1jSgWx2FptL0iX+9NNPb9K/4ToxM3699dYr2asBh5hz0ZrpWUPZsMGerYNSwSGTvgOqA5x/pgTQP8H+PWUFlPtyJpdy9jmvCSDysyQMOQst6M3/zf5DMJTHrEPWKI74iSee6NUFvA7OUfZT1i5Bm9ChxyFH8RHW1jfk8Dfl9fA77XH4emqFMvyiplAjQ4aCLC83R2O1OiIbcFAge3r44Ye9kdrUSHot4FBg86dpDEYChjZOv83tFdmE7uL2YbODOfCpt0sSZEvvvfde/9hGA5FFJaMSdxdsUT3MScFAZg1Yt/EkqaRw+C+44IIoAEFjL/ZTsmgopcLGXyI74LycddZZPiNqDczCAE8SznkcN9QHBEe5f6wZL+f6ZZdd5h0uvscc9ixx0EEHNevfkeUvBT0PqO8P4dqV67DSpZ56/WIIGqBiYlIAigGca1MxlQK7jPPZfj/vpxEG6ZHts/+QWMQJ33LLLaPvEeTB2adPj/V4MEaNGuUbGIZwxtbn9Jf7eoDfaZL+OEhGeFjkBhwpk1gpO5UvrJ6TTbDUjNYkgGFgjWc4CFSDmn2sZj/MpiZBilrf2gTmCptRgyElsgmBcZwp4NwM54YnSSWFox+qDdg7zQjGAWxMEivSCw41AX1rcGp2HZL5UNqchL0TubYFdcliW1A3D+P5wnuQuvumqINQQODwH3DAAXWUm+U6/CjT9t5775LfQ7k0ZswYd+ONN7qdd965wdeGA9+3b9/o99dXfmDnOn839fmhUo5yBwua4sxbGQJrg34pYYkBhD/T3NcDXKuGSh6qjRx+UXPMmCajhkxI5MNwtQkNSTJUi7FglEnPQgNbZBOrQcVgtXFASZCiFoMiyjoghwaRAqf56YBuAUgCPhb0SSq2z1PXb06WyDZkVGnGlrQ9NAyW2j1FU7yOHTv6x3k459k7GD+HOgznvZxGfsCZeOihh7rrr78+Kt8wKHm05xgXe+CBB/oZ88XqOBxdgi1k80OmTZvm+yQxno6AAHJ6/h9eG838rrjiCq8KDaca0FjX3jcUw6gGUGIWj7fj31hjPAIKRvheo/KwrDyBARoF8ncWBxxsfGApyn099v/UN3KwFsjhFzXHDgLGXtQ3/kNkBzKQbKLIPJPu8HPQIPezejZeOzIzkU04xM0Zsc7DqE9oppM0TJpq3Y5tRrMc/uximSiCUajjJk+enDg5v4HhzLp87LHH/OsO93kppbIHpSU4VaEDw/o0SXOSHH729MUXX9yf7bbPg5XrcQYQmMoy7BnMf19uueXcNttsUyBxrw8UZNT04wiXChCEqiOy95QRoJYozuSzJ+y///7+2vMYB58SILLwZ599tpfzt2nTxr9HN910k+9uz/lG1v+SSy6J/h+c//322y/6mgaC/Nzw4cPrlF6yNlEaLbPMMgW9AJ75X9CUNUEPAdYrvsitt97qmzfyGkrRrVu3Os815fUAZS/FQZNaMsvv0lrFhm2IeWtqg0SRKCA3IR/hDS2yx5VXXummTJniI7wcBkTY49z0GgMHCtnXIYcc4qO+RJzLORxF+qB2EMMDMD7o2rzZZpv5AFUSobmRvTbuITI1OIPcU6UaHIl0Q0YIR4SgIzJck46S+bKZ0UkBx+/www/3n3Eu6LJN8yocw6222spdddVVcb9EUeGmcDiQ7Ds4bTgzp556qu8+ToaUPSlJpXvYnSikwuwzmViy3oBjS7O4rIMdVq791ZzRcTj1NPAs9Tv5Hg42neybQ31d+4v/JvZKJiGwf7JP2l75+++/+5JSJodsvvnm7rrrrvMqBdQefK9UVr4Sr6ex52uFMvyi5pCpsCZTVp8osgmbqM3p/frrr730KcnOvpWc4ODbRq7sVHYJpYKWTU1SZqqYsAOyZfiR0U6fPj3GVyWqBeck003ofk+DRgNZbtJgvyR7COz5OAp2LxGoqmU3alF9TBqPcs8a9pnaaK211kqUs28lUcVSc+4rusxDeH9lmabYX82ZAlLs7Ie/k+8119mH+oLaxX+T1e+zf4b1+x9++KF39sF6jODsQ1Od/aa8nsaerxVy+EXN4cYyeTcbAE0yRDahRwOzR4FxfLbJJh0OAeRZYDJakT3MMGAfshq9JDv8lJkQMIXQgZKsP/vYbHOktbYGkhqQoq6VcVgm6yfLH/YjEOmGzKYFSO09R4ViDUSTvIeGEADQOZ/dQD4Of9g3YHJgy5UaPZh15PCLWKB2BoiuUq8jsoll961xX5o2WdQI1PxhqGK8iuwZre+++65/jKzPHOr65ggnBXt9SL0toyqHP3vQGduCOshgKYuCJO+h4b2D0R0GeC1gIdLP+++/H9Xu23tOwzWrEE6qw8/rI/FA6ZZh9xO2io28FNkI5FO/H6o6Jv/P4Sehk8Q+PdVGDr+IhY033jh6PHXqVL0LGYVJDFa7xEfxXNKkcs899/hyE+YIYySYsS2yA3JFmgxRvvHqq6/653i/myNjrCVkpHr27OkbI9mca2pRub9EdmAW9ZFHHun3IiacULoB1hE6iYQGNg4UagRmtYMc/myOMl1ppZUKnCmC5B06dHBJhMZsJ5xwgrvsssui8WhheYzWaPqxOn0CUauttlrB9yb/b42us846UXPmPJFsy0ZkFjphWjSY2m6RTUz2R+ScerlS9V1JBHk3DWbo3oosTIZA9uB9pes9jcUsMJXk7KmBEUPzNu4ny6SxVlXHnx1oOkU5FE4+JXDh/pPksiiMaJPQ4hTy2i1AodKo7GD7JaUlnJEWdAT2UxqJJhHre0JwlIkSQHDCekrlpY4/y7DnEMQfNGhQQbPlL7/8MrJH03DOVwM5/CK2m9IOCmT9GDciW+Dk20g7Hic5M1WMjaAh20u/CTn82SV8b9O0Rotfr9ZodjDDFGg6Zc5y69atfRO/JGMOP3X8BC5sjVKC8vHHH8f86kRLoczESqHsvaYkyur3k+xMhaPlwpGXVmIqhz+7PBec80leo9VEDr+IDZspTdaXcW0im1kAU3GkaZMNG70gSX3xxRclmc4Q4TRay0xR17fqqqu6NLHYYotFc4NVdpIdzBkh4IhM3hwRnOfmdJOOy6nCMQz3fbvXRHqhy7n1PLFzctq0aVFN/7rrruuSSqtWraJEU2if2BolaGGlMyJbTP5f0JTO+taoMW/I4RexYfWndHHnwBDZYtFFF/WHK9l9GlAl2RAohtExvH5r5IYE8KWXXor7ZYkKNp067rjj3LXXXuuDOSbtTEtd36effupGjx7t517bfYUzFQYyRPprpMnmkxm3src0BE2XXXZZH4ii3ITRbDTHstFnkvWnH8qHkMYTeDKHPwzkJFklxWu2gBRBNdsvrUyGun71lEovP//8sz/Tn332WW9zhkz6X9AUNYeN4ssbcvhFbNDsBcP1iSeekMOfQTBWyfAwxz5s3pQWzDDgdWMoyFjNDmR3cKIwAnD+IU0BKQJQ48aN8/undern7zGprUgvvLfMiy6W8ye9ft/AuT/55JNdv379oiZ+1qxVZSfpByefxnfDhg1zbdq0KXhfeb+Zd5+Gc/3777/3jXmLgxRMGxDp5L333vNn+qhRo6JzHSgteuWVV1ITNK0WcvhFbNAoxbq5cjOaTExkAyR+Fi1P4yZrhgFZXzJVcvizgznGs88+e7TvJDkzVQwZNqSJEDbClGQ6G2vTxvGxB1lmCtWRlcGlDdv/X3/99TqZN5FOCOxQcsJatXKiNARNS9XxE9S38YI659NLGPBGaWSwPv/7vz01DUHTaiGHX8SKHRDMGTZprcgG1MMh/0u7w2+yfpwpOzRENgwDG8HH56SOkioFQSiyaUBjTOuKLYc/Ww372IMse8pZad3E04YF05BQSzKdLRi/aEGcNARNl1hiiajEpFQd/wsvvOCn9Ij0nutMjyBJY4RBnHVTEJSqFnL4RaxwQGC8IgMbP3683o2MwHt5++23+1rOtBgCxYSHBp+/++479+abb8b9skQLwUG26REm6VxllVV8BjVNWP0ssn7mCoMk0+mH8VGAXJoGYiZNTVNmisAoPU/uvPNO70CxPq3ZoNZoeqGfBO9nqNJIS/2+QXCXMijOdHP8Yf3114/qwDXiNH0QTETSD1bmVuzwr7zyyn7qUl5JR4cikVlonrHFFlt4Y+C1116L++WICoGE6quvvvIbLBuxzb9NE6zJvffe2zv622yzTWSsplVWK+rK/mzPSWPU3xQo3F8ELJh0QrM3ghl5NmrSzl577eW23XZb71SFY8LS4EyFeyd1tNRJo5yhKzZrlPtNkun0Qn37o48+6p3miy66yPdnsADO/PPP73tOpIEBAwZ4Zz+ceBHeX9gvaTwT8gzBe5uwEDr8qDVMPbxeCpWmlUQZfhErSFFt06WxhiTT2ZrTS4d+Ntmkj5KqD5x7DAFzoJSdSj8m42RNlmralBZCoyZsiKnxfOmH/YaSDdtvcKzWWmstlxbCbujcbwSl7B7D+JZkOt17J7J41mSY4UfFYSVSSYe+J8U2CeNNrQmhyk7SHcgPz0b6g1lpaccUnvOVJB13p8g01tUVSS31YCL9sj9kcebwpz1SjhFjf0OYcRPpNgww+izAmMY1SrDUSma438yAVR1/djDHg1FSofw4DZjRjUIK1Yll11ir9HcR6WvCa9MjLJjzxRdfuA8++CAz2VObz07ZgkhvI16CN0b4Xq7zv9K3vCKHX8QOc3qBiDGjpkS6CRvh4PBnYZNFlorB/fHHH0dZYZFOo/Wjjz7yj3/44Qf/mawOGas0YnX8/E1IpkEOf3rBgWIsnznGr776qn+cpoaSxWvTzoQwuyZZf/rAsae5cvjehoq3tAVNOQtYl+F+afcZfVH4EOlz+JdeeumC5qbm8C+00EJ+VHSekcMvYseapYCapaQfc/gxXDEQVl11VZdmxowZ45UnZrAq+p9eMASOO+44t9tuu0VzeTFU01pywprcYYcd3KBBg6LA2rRp07wxK9LHyJEj3WGHHeZGjx7t16e9jzbHPk3Qt4WGvDZ5IJRMaw9NdyDfHH5zlhkR2q5dO5cmbrnlFnfuuee6G264wf322291Amtao+mia9euXmVSvA5NJdWhQ4fUnvOVQg6/iB0MAWr8wg7FIr1Yp1Sy+0hRbV54WsFoxSCYb775vLxfhkB64f1jvyHSb93P01zXt9JKK7lNN93Uzxy2v4N6RUmm08fMmTPdZ5995stM5p577oJ9Jo0ZfvZ9Gx1p2TcLXGgEb/qw95B+IdbTxpwpVJqUSKUJW5v0k7BsPn+HBalUx58uunTp4huech4aNI62kpO1/1eukWfk8JcBm8HgwYMbzT6/8cYb7qCDDnJbb721O/vss/0BLspYhH/5izdwzEiQ059eaLxo7x+1m2nMTBWDM2XrFKdfDn/6SbszVYpQUitZf/qwAJTVv5vDwXjQtJacWB0/pVCUKNh5QJ8XyhdE+tannYc4yqaSSuMean9HmKRgapQpEnXOp58snvMtQQ5/AyBDO+CAA/zGcP7550ezm0vx8MMP+wgSUc7+/fu7hx56yG2wwQYN/hvh6kjEaNyn+r5sGK2s/SxEVUPDgMwGkmmTAIp0YU36LMNI35DVVlvNZQFUC9YAVRnU9GFOh+05ZqymWYpq5zr3HQ3fwvNADlV64CwngB+eh/SXsH4TaTznW7duHTXCDO0WcwxJ8Kk0Kt3YHsP+uVaKppxUCzn8DUC0b/jw4b42pDEFQN++fX0t5Xnnnedndt99991eSjJw4MBKv2eZhOwU9d5IcHCoRDpZdNFFfZ0m0lQMhCxEVWn2QiDKHH5UDMw7F+mCEpPDDz/cDRs2LMpMrb766tF4qbTy5ptvuhEjRrijjz5akukMOPxk9CnLsOaSaXSmQtk0GdNevXp5dRRGt41uk8OfHnDsCYwyGcSk8GFQMY1KPtah/S1hsM1sFhQpr732WmyvT5QH5cCXX365u//++71yKMT2GErf5vmfDZdn5PA3ACOPaPJkXeTr49RTT3U//fSTl/MbHG477rijGzt2rA62MmCTxXAdP3581JlYpA+MVQJgdO/FOQ7Ho6QVosOW1bDaRRmr6axBxYh7/fXX69QUpxmcQ7JR//rXv7xhAwSbv/7667hfmmiC0WpOR5jdT7vDP//887tDDz3UJ0EIBuMwtm3b1n9Pe2i6suGHHHKIGzp0aKTasPePmn46o6cRO9dJUNis9jBJoTr+5ENpEGvxnnvu8apsA1WRBaWykHiqBHL4y6ChpmNIe2+77TZfg158MFv3ebqAioYhsGKSGzL81sRPpA8zBLgf0ipFrc8wwGAlIyxjNX2Yk09mx/pMpNmZqq/kxJBSKj2gbEM5VOzwZ1GKavecSqPSB+vRFBq2v7A+03rO296JvWnN3cj6E8QAnfPpOdfDniGACtNG72bhnK8EcvhbCBsCUtHi2Y+w4oor+s8TJ05s6a/JBZZto14srKkS6YEZ9TRoytomGzpVZK1kCKQPM+jos2K1/FnI8M8777y+7ARsTjaojj89hJLisGHfyiuvHDW0zQp2LqCKRNUn0gflepZNTfM5X6pxH8EL+5uU4U8+5iuQmEWVbYTvnTL8fyCHv4XQiMYkT8Ug6wc5r+WB8Y1xw/xeNe5LH4wCo5YKg5XgV5oNgWKI+lsWgzXKRA4MVpEOUGLZXm3STQI3ocGXZqwWlWCbSW7l8KcHgtxkThkJRg8Uy55mYQ+ljGbcuHFe6UjWLfybtEaTDwmtp59+2u+f1qw2VA+lOWhKsJQyRGxOenYVO4gEAVQalY5APk1rw6SrJWVQZVqpW975Y+CkaDYmDWVRFWNzSb///vt6/z2ZJut+asw+++z+I28gle7evXsUnaMHgkgPNLjB4aC5D5vwmmuuGWVS0w734xFHHOH7S9CQ04weK9sRyYa+EoyRAlOgIEVFypmF8iEcfvZM6vjbtWvn3nnnHe9MYaCnVW6bJ3r06OE23nhjr5DivTN5P85U2vdQVCejR4+Ogmw08MNeImDKmt15553jfomiAeh5MmbMGP/4+OOP9yMiQ4Vb2s/5k08+OXIUSym/WKPhbHeRrL3FznNU1uE6tDVqJSf/TfEabQwrs2kMOfxVvOA20qOh7pA4RmHdJdBJetCgQS5vECDB+ObmJJqMkS7Sg8kzcTpwQAh0NRTsSuP6tEwqPPXUU6ltVpQ3aGpnzJgxIyq5ysoeE8q+bTQfmbkpU6ZkonFmXuDse+KJJ6Kvca6ysEYpOSFTyr1Hhp9SBRwpmrtm4e/LMtZE2XpZ8X5ZmSrrkw7+WXsPUexyL2KPom5g0oRIHqw7K2NDrWHrkGAiKkwgu5+19VkM92E5yOFvIWZclZL3Wua+VatW9f57HIbirvR5zfADkkayUnxw3dI+Misv8H7RLdXkqeutt15BPVVW4G/igwOEGsYs/o1ZBKMNyORYI5+NNtooM+8fDtWoUaN8FsPOJGCdMvJUpK8JFUGcDTbYoE5voDSywgoreIefbuiULHTq1Mk7/KgZKH0spZAUyVKxYqviWOAEk/WHddZZJzN7aDEEhEliUIaS1b8x7YTjkcnkMwkEmPZlGf0uXbro/fsfcvhbCHImMFlJiEWVGuqyizIAmZv4M7LKLE2idUTostahOKuw/k3RQqCLGrhyZUZpgwwV2VMk01n9G7Na50cg1ST8vI9Zef9Qn2CUch8SfCYbx/1I2cm2224b98sTjXToZx2i9COraHXtnH0NTQhKE/TKoC8Pa5OAsNVIY5TT+6Vz585xv0RRAvYQs215D1mnqC9Zs5CVcx6bhXp9Ek42hpv7D4ef9cl9qdKo5GF9eTj/cPaLJ0hYUCoLa7QSyOGvQOQayQiRppkzZxY0/rDMPTVrojxWX3117/Bj6EyYMEEOf0oIG1Ni0GWh2VQxOIqnnXaaz7gR/ccQIKin6H/yOfDAA/0aveiii6IGPw0pr9II5wxrFMP8scce82UMGs2XfO677z4vkSbzPXjw4KjkJM3N0IoJS6FwrMLzgVpbOfzJ5KOPPooypfYeho0Ws7JGL730Uu88Ys+bw08vlFtuucXbM3xP5XvJA/WaqYNCp95K+Chnoymj+AOFPcrAMkL1NX045JBDfB3Jgw8+WPD8Aw884Bfc9ttvX86vEf+LxoVN4ES6HH4yAsj7s9gVlQj/HHPM4R+bKkddptMBsmHUWNS0Z8lQLd47MYAIZNjf99JLL0XKG5Fs9Ql7CkkCszOypG5DCm6lCZwVKPksUKo9NB3jIs3ht2ZoZMNJ0GQB+9vCAEd4RihwmkzorYB/VexjmcNP0Eb8iRz+JhzIJh8pZr/99vM1y0OGDIlq+elKS0Oa4cOHR936ReMQILEAi9WEi/QYBkTDcayyUHdaCjLD5kASAMChEumA+mG6oEMWFSgh9vcxgtAyxiJ50PCMdQlkEMPmklkyVlHsWWMpCw6bQyVnKrnYe0XjafqEhAEanC0LgKcdy95zP5rducoqq/igBoT3pUg29AohcJO1PbQSyOFvADL0LJixY8f6rwcOHOilZ8Wdx9kUkOWxISIJoq4JaR5yINVPNg0cRTtEcKiy1OU9qzBn2YxWauGyvMlaJoB1ihEkQyD52OzocJRUFjP8IWF2WBnU5IJhagHu0OHHlsjadAXbO22eu50TlPBZTbhIpsPPe4c9hpKVUrasBU0tkB8m+EjUMU0CdM6nhzAJk2VbtDmohr8Ro2no0KF1ni+VsUdG+fjjj/smHzip1AHltdN+S1lyySX9TcssYqL/dNkUyYYZ0tdcc43PoFojyywSGgZIcFmnNkpSJJMzzzzTyzTpsWLBmqxIUYuhdv/555/3GVUCUkwkwOHv169f3C9NlMCci2KHH0M1a3sKGWEyqPydOPzhOcE+uskmm8T6+kQh7JnLLbec3y/pCwLYt6iGslZyQnkJiTsCGtyTTJGw+/CVV17x65ProeZvyeHee+/151vbtm2jJqDFwZks26LNQQ5/GSO4mkIWa5drDcapHSZstHL4kw2KDOqELbKa5agqtaeMivz111+9w0+2iixdGAgQyVKfkEEkKGOGKgZC2Fw1a3JGsnIYr+yhzzzzjDL8CcbKBBnBx77CqM+s7qGsx9BJlMOfbHBu+/fv7x+bCiWrJSfsl5ScsHeGpbv8jZTn4lhStrj88svH+jrFn1AyTYKJiUmlHH5ssgUXXFCXLECSfpFIp4qOxaAa6XRg7xMdU7N8KJLtQIESNu6T3C+5YLyZscrM76xH/S3wRKaKGtTirJxIZoafrDeZRFurWXKm6gNj3PZS7aHJxtQmds6jcmVSTZawOn7ODGvcF96H6jWRHFDrWT+e4ukJathXP3L4RSIxo1wOfzqwTZb3LeuyN3Oq5p13XjXuS5Fkmkx/1h3+0PhhLjEgn9bEk2SqTz7//PNoT8lq9rQh7O/UOZ8O7H2iPMMa2mXtXEe9Z/clQVOUN6CgVDLP9XDkJ0EARiXnaQ9tCtm2zEVqWW211XzjIozVf/3rX3G/HFEP1GTS54KIOA5wlp2pYqeKrAfScBkCyW86RT8VHKy8lJxAaJBrjSaz/MJKSzBa7T1aZJFF/PuYRQi6UXs7cuTIOo37vvzyy7hfngh44oknfIM+5OymGmJsZFb3UM51FIoEM/hbgb2Ur0F7aPLO9eIgd/geZanHRKXIVohOZAayxBtuuKF3JJFSde3aNe6XJEpA/TqSYWT8GLB52GQJapx88snu7LPP9mM41bgvuVg9pklSKckwAy6r+yYyacoXqG1kfCQBU2VQkwdd+AmWsm9Sw5/lhn3h/chEI2CyS+g4ska7d+8e46sTBiVANp1qq622cr179/bnvAVNsxjYp4af+7H43mONYoOyPglSZXXkcBoz/JQFkWgq5fDTOF0Uogy/SCRmCGDA0pxDJJOwwU3WR/IZZAFo5mnBDf7u8DqI5BitVuf37bffRk1VS01ZyaI09eOPP46MHhulJZIFzgUTfpARv/vuu5l1puobfxYa5cqgJofwPLP3LOslJ9yLpQJt9rdynrz11lsxvDJR3/osbpZsa5TpEgS7RSFy+EUiCQ0B61wskhtpxWBlFFhYT5V11NAn+eoTIw8N+4oljmHjvhkzZkTZOZE88jI7mlIFzgkz2hdYYIFovUqFkkyHv/j9yWLDvoYIVYsKSsUP47pRRRXL+Wl4qoZ9DSOHXyQS6hitY7Hd3CK5hgFZ7jw07AtZeeWVfRSZrICM1WQbrXlo2GeEWQ/2UXP+1bgvORAgpQ6VcaZ5yJ4ayKGRTof3pxr0JjeQj1zaMqVZbthnsE9yXz799NO+JMpUYYweBnXqT1YgPzzraLRoir4s76EtIT/WuUgVOI4mveXx999/H/dLEiUa9lGHGTr8eYERWscee6zbeOONvVGkyH/y6NKlizvmmGP8usxDw74wi7r99tu7QYMGuR49ekTPKyiVHJjpfdZZZ7lDDz3Uqy9s/2AcrU1XyCpmpGO4UxNt5wbdtdW4L3mSaQLaYcAwy+c8TiP35ZgxY/x9CQQ3Vl99df9Y53z8LLzwwq5v375u3XXXLXD48xI0bQly+EVisUwADpUiq8mDGmFTYeSlft9gggQBDyADYo37RHKgw/Kyyy7r16YFDrPcsC/MouLot23b1n9YUyM5/MnLoOLw4uDnSYpqMlzUDV988YUk0wmDWnXel/C9onad57O+Rgm4WclJ2AneZP1MKTBVjogHep707NnT7bPPPiUb9hGgUsO+0sjhF4nFIskYsM8//3zcL0c0MAuVTuB56NBvYKQz6g3mn39+r0AJDQSRHMzRRZppY9DyQmj8yOFPXgaVYCGBQttLs+xMGWrclz7JdJhwyVvJCdgeSpBfPaWSiTn8K6ywgp96Iuoih18kljBKx0gYkSzsQKQelWxqccfULGPjz8zhB8n9kgOZUxwpPszRzbIUtZx99I033lDjvgSpo4A9JJygkIc1yoQTqwHnDGH/tGavCkrFT94b9tnfbCUnxbaoJp4kt8wSlN2vHzn8ItFZVAx2Rmpp7Fny6Ny5s29sQz0qm2xWZ0c3ZhggK+NvV9lJchg3bpwbPHiwO/fcc90PP/yQG2cq7GR8+eWXu+OOO85LIIE63Ndffz3ul5Z7CJBSKwxkE81QzYuxShZ1gw028GUndk/aZwVN44fzDDUUDT8tmJ2Hhn2GJS6s5AQIcpiiTw5/fKCivOKKK9xDDz1U0NeLZn3WsM/6LYi6ZPvOFak3DJDnXHDBBf5rbvCwZkfEC1mZSZMm+YOxW7duuXs7LMPPOp1nnnkKDHcRL2RncPRp1oejm3UpajFk4jBMuTfD0UU81759+1hfW96hOZ31+8Dhf/zxx6NmVDZVIevsuuuuBV9zb95zzz1Rp+28XIck0rFjR//BGs1Tw77ic93OERQp1PXTD4XAhxz++GC87tSpU/0Ha9Sgt4Ihh79+lOEXiSasC9dGmywos7AGNnncZEPDgFpcHH417ksGpgiyMZF8Xm211VxeCGtRaVpoNY2STCdHzm97iAUK87iHllI2KHCaDEyxFzbsy4PDj4PP/lncz8DWKM7lf//739heX56xc53zbIEFFijp8OehMW9zkcMvEk14wMhYTRahYZYnZyrs6GvyRhx+HCub9y7igyCUvQ80k8xrwz6TpuJgqnFfcjAngqwhijUcqrzuoUYY7JDDnyxCuysPKinOdM72Yoff1ijKMZWYJmNcZLHDz0haK2ETdZHDLxJfx08WhKir6vuSw4MPPugmTpzoN15q2yi9yBtkAViXJqEGGavJkExbBsYmJ+ShNro+BQo145b1oIbfxkmKePjpp5+8sYoCA2ffGoPlLcNPOdhNN93knnzySbfgggu6xRdf3D8vJV98sB4nTJjgHStTq5kzRWPerDfsMyiD4mzHgTTUuC9eOMc+++wz/7i4QbTZXXkOmpaDavhFosFwp+YUA+mrr76K++WI/0GDOuqjcSpo7JP1Rj71sddee/m1aaUnGKubb7553C8r14TZF8v0582ZKi45scAU6ocZM2bkQpqbVJgf3a9fP58pfOSRR3IrRaV3Afcq6ht6wHCPcr8qaBofBPHHjx/v1VDWO8nej5VXXjmaUZ91uD+LmxCvssoqvjQMm5Rr0rt379heXx5hb7AgVOjwz5w509f25/WcbwrK8IvEZ1GtO6rd3CJeOPDMkaKRYp43WaR/ZAGWXXZZ/7WM1eQ4/ASh6Faf18g/Tr71MAj3UK3R+OH9QHpq2VMUQssvv7zLY0CKkhMMebtHmfpikzVEPP0lUJ/g8PK+WMO+PAWkSk0cmmuuuaJ7VCqUeAP5ocPPuFlT9OXxnG8KcvhF4jFZFfWOGisVP3RRtmZ91Ehrk/3zoJEzlRzDAAmqkcc1yt9veyeBD5WdJA9z+MmeWqOwvDn8BPEZ7xpKps3JFLWD0hIL5FvDT76mNw3kObBv2BqVwx/fuc45Ftbphw378njONwU5/CLxYAwBcrIpU6bE/XJyT9jIhgy/Ntk/sh9zzDGHN5AwXkV8RqtlqaiVBmqDw46+ec2iIkktNpBEbfnyyy+j+dEmDc6rM1U8/iy8BnKoag8z522EqTn8eXamSGawDhkBZ9ga5T7meonaO/zsG6Ua9lGGwqhoUT9y+EXiCTvDIt8R8WIOFXI/jNc8Sf1KcdFFF/m6aFuncqjiAwn7qaee6vbbb7+ori9vhmrIhhtu6Pr37+8OP/zwAhWKxkrFwy233OIGDx7szj33XO/k5rnkxJr0AdcCJ5N+MCClVPzjIvPu8N98883ukksucbfffnv0nBr3xUePHj3cJpts4tZee+2C522NYofmTSWVOIefjsnPPfecaq9Fs8EQsGYd1qVTxG8YUGeJYUCpRZ4xqTSj+UDZqfgg8o/cr23btpEsOG+GaggN0Tp16uSdKzNWUT588MEHcb+0XO+dOLZ5H2vKvrnwwgtH14V7V6VR8Sv3CJraWDpzpvJ4zlvQ4+uvv47UYhofGR8dO3Z0O+20k2/waRC4tjWaxz00UQ7/oYce6o488kjf+XOzzTbzo7yEaCpIpS1yx0gpk52JeA2DvDfsK24ggwFL3bSyU/GDEsiChDIE/kDGarzgNFi5D0FsM1RxdK3cIm+YU2Vniq1RFFOM4RK1D0bR98O68avkpPDaUBqm8ZHJgbG71shbtmiMDv+NN97o34zRo0d7x/+OO+5w++67r/v222+r9StFhllooYX857nnntu9++67cb+c3IKTT20bqGGfK6h3tCy/MvzxYVL1MOgiQ+DPXijWtV9Bqfgl0+bwM+GDcy3Pe6dlUU2FQlPYN998M+ZXl8/1aUEYFHymBMpj0DTsBB92iLc1qj00fvKukmoqVRuezXzZ7bffPmqugHSLN2TSpEmuV69e1fq1IqMwDoVNF4fzpZde8lJVUXsYdYZEmPo2jDRtsoWGAQ4/teNEnWkiI2oHGf3jjjvOzTPPPL6pko1SCt+fPPLss896lR0ZU/bRt956S8ZqzM1OcXTNWM3zHrriiiu6ddddN3Iyixv3KVhXGwiw8F6wRu29CCcl5HGNUsLAWULgI7x3cfgfeughHwzBHs1bqUMc0EeBhrwooUpN8yCQbc29RQwOP7KgMCoGn3/+uVt00UWr9StFhtl5553diSee6OX8HTp0iPvl5BacWDbe6dOn59YQKIYDnw87/MkyIykvbi4jqguKExRkfNgoKdanZbXzCjLyt99+O7oeOPxqLBlfBpUgFMEpG4GWZ6eWwH0YvF9hhRV8Cd/PP/+soFQNQcI/YMAA/9hKofKePSVZSfADp7LY4Te4Rp07d47pFeYD1uP48eO9AohESvH1BwLZSrA0TtUsoQMOOMCNGjUqmpt+6aWX+qi2jGDRHKiPNsNAUqp4MWeBxlNhp+U8Y1lk6zItWX+8kunQwc074fgz5OMWfDcVhKjt+sQOCrOneZ9yUqwgs0ydzvl4MFWurVGC2OEeksdznf3SekpofGRtIXhvTRPD8klQw76EOPzMQ7z//vvd8OHD3a677urHz9x5553V+nUiB9hGiyFgUWhRe8JNNpyHmmfsIKIWlwaTMlbjdfjNmZXDX+jwL7jggtFjZflrB8o0JhaBZQ2NPGf4S2EZPNanxkfGh51hBKTyes7buc46tPuXCQa2jyqwX9tzPXT4v/rqq2hql875mCX9JrMYMWJENX+FyBHU79AllWw/N/piiy0W90vKXZ3fZZdd5iX9RP21yf5JWCeOZFeGQHyGweyzzx5lY7RG/2h4yp7573//uyBQyhrdeOONY3in8llWQfaavROH/5lnnvHP4zhQ/phnOMunTZvm798999wzCoCQJKJO2lQporp9PliLnGMErQlQUZaW94AU14O9k3uWexcIfhCUevrppxXYj6H3iaGgacIcfiEq7XB26dLFR1upIZfDX3vDjKg/dZbIrORMFQaj6DFBgJNafowljCaMfFFbh99q9tXIp7AWla7nKB/IUHEvK8NfOxZZZBE3bNgw3+iUWlO79jhTec2eGvR6uuuuu/zjzTffvKBGl6CUHP7qQnCUqVoEAxmfvd122/nGs4xAhjyf89y3F154YZ17lPsWh59+KARSCQqI6hCORAynmWgST9PJdzcjkSrWXHPNyJB/8cUX4345uY604tTmOfJfDEY80WczVmk6ZXXkojZGK3WWYGMjUZjJECuU9SNLNQNeDn9t4dxiWhEN0mzkXJ6dqVIlJzj/Gh9ZW9gTTPlj70W4N+R5jeLolwrI2TlP1t+UEKL6vU9CLMPPnsqHaBw5/CI1tG3bNnr87rvvxvpa8rzxcsgR/WeMjyikVAdZUVuj1WZHKyD1J2bIozqx5qcEpKwZkqgdOPuo1fLuTBlMbiIIYmcMwVOCdaA9NJ4aabvuKNQ0ArkuOudrA3bmP//5z4K1adga1TlfPnL4RaoMAzPqqYkU8RgGzKXFCJhtttn0FhRBEMTm8qqOv/ZrE2wcrJypPwmNJcuGsJcqO1V9uM4EpKwGWNnTQmhyatNeTEVmDpUc/upj15ygi43Ntuwp5xljEvMM9y3XaMKECdG4V8pM6NUDOudrqz4xBSXlFKBzPkaH34wtIaohiTSJLo+RlYvawKZrThWSaY2SqgsH/9FHH+26devm5plnHhmrNWSdddZxRx55pP9Msy+QIfAn9DvZdttt3SGHHFLQqE/GavX59ttv3amnnuqv/eTJkyOHn+aS9EMRfwakcKw4ayxrR3bPMnyiOti5TtAFu4rrb/uC9tA/rs/pp5/urr/++qgUh+tk10ZBqepB8qRPnz5+nHvYGHnGjBlRAFUZ/hgd/nPPPde1b9/enXDCCb6xmhCVhIZTthFoo62t0Tpz5szI4dcmW5f55pvPN/Cxxxj2Gh9ZG8hCkY0yqTRojRZmUWmIhpFKaZQ1P1Idf+0cKsopaDxl5xbvg0nZ845l78jc0dhQs85rH8i3oAsBFt4DkMP/R7DUGsGGfYxsjaKG4N4W1Zkws+WWW7r99tuvoE5fKqmEOPyXXHKJHznDzTBkyBDXrl07d9xxx7kXXnih0r9K5LQbOmAoTZ06Ne6XkxvCgw6HX4ZA6WCUGQYEpJD/hVJzUX3MEKC7shr5lIY1asaqgqa13TtxHsIO/aJ0477w2igoVT1w7AmylKrf1xp1ka1piaZSDj/XTz2laoutURS/yy23XI1/e3qpSg0/2YOdd97Z3XbbbW7ixIk+43/22Wd75x/J65QpU6rxa0UOCA0BZD2iNoSOK6UUcvhLGwY2KnL++ef3n+VQVZ9QRWHOgdZnw9j1ef3115WdqtHeSbYKpZRNkVBZ1J8gJ7du6FwvZsJbXb/KTqpH6MBa0CWcb641WnhtrOSk+IxRUKq22BplogfqNZGQpn10XN1hhx3cLbfc4iZNmuQ6duzohg4d6kesDR482Ne0SfYqyoUoNOuF7Kn6RdQO5Kf//e9//TWnsY85tKK0YYCkH2SsVh9Kx4455hg3fPjwyICVw18XnM2rrrrKnXzyyVFzLrJTzNwW1SOUTIeOgTL8hSU56667rttkk02i6S9SoVQfuvAzEYHrbwEWC1KT1SZIJf481+kPYwE7bCJzNuXwVx4ac19zzTXukUceKWjSjR2qDv3NY1ZXQ5Bf9O3b139gaDz00EPu4osvdi+99JLr0aOHDwx06tSp5NxLIazREQfRPffc4zOqzN9Wt/jqQ3MpDjWka5tttpkWYz2YLJI1iRElQ6D64OTjzPLBGB+QM1UX1uPzzz/vH4cNkFij4chTUTmwc8KxUuF+oOxpIXvvvXfB19zDDz/8sHvvvff8ZBgaoYrKwjQEPnCirBxNKqmGS044b0h4WN8YJp3onK8877//vk8I80FQCtWPXX815k3ZWD5ulm222caNHj3aS/zpHDxy5MioC6YQ9YE6BGjQpfVSG9hgMbxA2dPyDANr3Cdqk0HlTLHmSXKmSgfcra8BjijZPZAKpXp88skn0ePQ4V966aWj8Z2iNGHQjtITUT3M2f/pp58ixY+CpqXHmobljVKhVA+7ziSATX0C6jGRQoe/OGvL6IUbbrhBmQbRKKHDKWO1NmBwWemNDIHyDAMcfg4tm90rqmsYkKUyx5aMgKg/IIUjall9BaVqVyMtKWrzznn1QqkN9EWyc15B0z+Za665/ISN4nvartGXX36p8ZFVOtcJUhPML94LCARYE2+RIodfiKaAMY+kqnXr1hr9WAOYsEEJxTLLLOM3WWX4GzYMTHrG4+ImSKKyMAbxq6++8o+tzk+NfBoPSNGd24xVDCj10akOtiYxWFFUWN8ZOVN1IWBHn6dbb73VT+AhQGIqCO2hlQcn9bnnnnOffvppFCxV9rR+KINi+kvYv0jTJKpH8bhIwwLUyy67bGRjiRhr+HmjxowZ4zcPZneT6cJJoynLhhtu6DMwQjQX1lTXrl39YzXuqz5ssNShYqTiKIT1v6Iu+++/v5dM2xrl+nXu3FmXqsqSaRuNpIBU/YTGEwE8c0ox+kPZpKgM2223ndt88839vkmtryGVVF0IJjPZiXp9ejl16NDBnzkEAZThrzxc05tvvtk/PvPMM32DPnOmaLZt+4P481y30gcjDNxxPbt166bLVSEbnz2zIYdf53wCHH7G8NGAj+ZJjOejo2WYPWAj6d27t2/Qws8J0VQIIGEcsK6oOeOzGj1WP9LKvcwmq2vdMNTnsiaRANJITsZq9QjllZ9//rn/LEOg/B4ToRElh786YPPwQQM6Q2u0LpwrGPeUj1kgn+uEw0+whP4c1ndCVG7vZG2aKs2cKRzZYuc275S6Hq1atfJNpD/77DOVRlWQsE9C6PBjT1mQX0HTplPxO5pI4YABA3yTL+uazCZy4YUXRiM+xo4d63r27OmbryEVFqKpmNSPwyo0+kVlQepnG+z3338vQ7VMwtIHyVGrbxjgCCDvBxkC9UMQij0TwkC81mj1MWcKSbCCK6Ux457gHU15bQ9FMWUKHlF5yTTnFWe97QMKSJWPZfnVC6U6Dn8YpA6vsdZoAhx+6im33XZb34gPGJ3GDXHYYYf5jeXpp592Dz74oNt99919g5Ctt97a7bjjjtGYBSHKwWTlqEgY6yiqA1J+DK8wwy/Kg32P8Xzsc3YNRfUcfkONfOrHsqh2bxfP3haVA2k6CrRSUlSppEpjxj3OJ1lT1UhXh99++y0K5Nt+wBg0pNSgoGn99zQKlDBAateK6QZ2/URlznWC09Yssdjh1xpNgMO/0UYbuauuuqre72OYUdM2atQo98EHH7hjjz3WPfDAA6579+66WUTZMDvWZFbTpk3TlasSoXpCDn/5nH322e6LL77wzuevv/7q3n777aq8P3mnf//+bp999vGGmDXyIQgo6oc60379+vkPM5qU4a88jz32mBs0aJA7/vjjfYbaavgVNC1//NlKK63k/vrXv/qvlUGtHJxNNsLUrnkY9NMaLQ2jw4cNG1agTLZrRZAq7NMhWmbfd+nSxXXs2LEgOGprFLX4oosuqksct8N/9NFH+4Pu0EMP9YZuQ9BlnRIAImZs6kceeWSlX47IKCuuuGL02ObDi+qOPCN6baO8RMOYkWp10sqgVgfOEJrB2nhOGaqNs/baa/vmuaikTI7KHhpmo0XlgqWofLi+Zg9pjTZ8P5tah7OH6QZ21svhr65k2q4vSRQmnYi6WHAknGwgFUrlad++vdttt93cLrvsUvC8VFIJc/iJvDzyyCPuzjvvdGuttZaPhDU28ocNh5+jY6ik/aIciO7ZurLRR6J6hgH3JZM2wnmoonHDwHpNyOGvHihPzLmSM9U0zFhlLyXwLiqHrUn2AklRyw+ULrbYYgVnj93T2kMrvzZx7mk6B7ZGOeetz4coxIIj9CZjrCEwzcCul9Zo9SBg+tZbb/nHOuebR1XacFpnVeoDqdHHqLj44oujpkqloNvlPPPMUxB5FKIhw8CcTyQ/NJQT1TMMcKpUM9V0w4B1isRckunqoUY+zSc0nGSsVg7OIzuTcPjt2tLTKFSnifqDpdiCBKJsjeJg0XdCtByzs1FUsCaLO/SL0oQN5MKgiRr3VZ8333wz6oUkW7R5VG3uBlHaRx991Gf6aeCHxJ83jIZ+hxxyiH+eGwZZDBnaIUOG+IAANZhClAOHFZFWNgE5VJWHe3P99df3I5IwthRVbV4tKll+jKnGlE6iaVxxxRW+VwIlZIYMgfLgmjE5hzPaeh5oD62eZNqcKUqikPiL+uEaUXZCXyeay0kyXXlohIYa1xxYZp7TJBG0hzbs11hNeXiPhxN5TOovmsf48ePdHXfc4aZOnVrwvHpMtJyqDzXdZptt/MfEiRPdjTfe6O677z43fPhw/1E8u5o32br7C9EY1PfgkAIGVadOnXTRKgiRa2rQX3zxRf+1HP6mGQZcPw5/riE1f4yaMvmkaDk0QkR5Yv0SMGJ1fcuDIB4NplDVkZ167rnnlOGvUrNTlI7KnpYP53h4locZZ64jTSdFy9hjjz38ZwIqxcE+nfP1Q7CORBPBkfAetyAJfY6YdrDccstpiTaTKVOm+PWIDdWhQ4foedtD8RFXWGEFXd8kOvwGjhkfl156qZ+n+sILL/gu/RjFdGLt2bNnJC0SohyoncKZwuhXQ5/qEF5XSf2abhjg6IeN++SQVga68nPfg8l8Ne6sfMjsTZ482V9HJkng8FPDjwNgARTRfCz7h7qHZojWZ0bZ06ZDuSd7KQFTnfOVxe71MHuqNdq4eg+Hv1SG366lHP7mY9c1VEmGaxQFUDiGV5RPLFeNm0E3hGgpSKtwQlGPyBCoDnZdcVQxvET5cGCFDj9R6x49eugSVoDQ2CKADMpMNW1thhlooKSO7BRNu0TLsOxfKOfXGm0+nPM4/OozUR1sjXLGL7LIIlX6LdnZO59//nn33Xff+YApKimmGpiij2vZp0+fuF9mJnqfGJRD2hpVQCqBNfxC1AKM/Pnnn99n+WyurKgMY8eO9fN6kUrLmWo6dmAhQUO9JGO1coRySupPQWu06WsTrIYftEZbDiqJb7/9NrrOcvibd3/TX+K2224rMPLfeeedBps/i8ZhPdJPC/l5+Fx4nUX9EMTjTCdpaaNM6dJvgVIlnyo7LtKet0CAzvnmI12ESDVEVLt27erHxmEMaE58ZaAR4lNPPeWj/Uintck2nY4dO/r1eNJJJ/nrKUOg8oYBpRM07gQZq+VDVopAKVkqxh1ZdgoVCpN1RMtk0hdccIEPQrM+jz766Mj555qLxqFvzP333+9VfL17947OH9YovSeY0y2ax6233uol6eyXBx98sPv555817qwJkM0fNmyY3zNDWKOMjdM5X5lAfhiU1ljTyqAMfwV56aWX3D777OM222wzd8opp3gnVFQXKw0hSzV9+nRd7gqBQWDdZuXwNw+UEfSZMGP1vffeizIComUUj2/FsVIjn6ZhBhVSactOKcNfOaefMig6oSt72vy1iZT3k08+KQg4y6FqPgT3UO2F15hsv6kjFdgv794udvbDa4ft9NVXX7XgXcovYe8TPozwXFIvqeYjh79C3HvvvW699dbzh/zhhx/uR0vQaVY3fnVZc801CwIuovKRVqRUyp42HzMEMF5pjCZaBmoJGyFljfto/KpxZ813+M2I0mi+ykLQn0AfyFBt+tq0s4hxzX//+9/913L4mw89ZSyQb9dYJSeVIQyWaB9tmcMfyvnDNUoCBXWaaB5y+CsAB9JOO+3kdtttNzdkyBC3+eabuzvvvNMbUvvtt18lfoWoBwyBcNSUqOzGSz0qBgIbrWi+IWDOqIzVyqpPmPRi11g0DTOqCESZUopraz0RRPOgft/WZxjgU9C0fGgeZyOaOYvIqlrARHtoZWuk7XrOMcccathZJthF7JVMNyEAXXx/a402Ha4jPlNDHfp1zrcMOfwVAPk+jWQGDhwYPYfEfMcdd3R33HGH7+gpqgOSScOyfaJyhgHZfQytUhI20TjPPvusu+SSS3yZD9dQhkDLWXTRRd1hhx3mR7lakE/OVNPByaeb9AEHHODatWsXPa/sVPPB0cceYH0+9NBDBVJUGavlw15pRr+dRXb9WJ8WUBHNU+7RRNa68WvcWdOZOnWqv8+vvvrqSG3G9Vx44YX9Y53zTYeykl69evmzKCzPw663das9tGXIiq9ApA+nHplJcSOZzp07+8+jRo1q6a8RDRgGdEgFsqg2k1s0HzJ+tsGy2UqK2nzIUiHrZZ2yR6hGujLXlNnx1PhZx26t0aaz4IILui233NIbWOHZpTXafFBH0ASNRpJkTM3w595faqmlWvA/5w9z+Knhx8E3Y5/9VGq+5mHBE0ZxciZx1luAT0HTpq/N4vJHW6PaQ5sOJTsWgA5LdcMAtNZoy5DD30KmTJniOx0vvfTSdbKg1ghp0qRJLf01ogFsjjQOwMsvv6xr1UK++eabyJFS/X7LCGvR5ptvPi/xJUgoWo5qTysH2Slk1MXXVbRMMh1KUek4L5ruVBE8+fLLLwuye3Komg7Ova1Pu7Y4qxp31jyVGSqJ4nve1ijd+gn8iZajc75yyOFvIRbda926dZ3vYeDD+++/39JfIxrAsnuzzjqrH+cjWkYYsVaH/pY7UmYYsB8QSLEmXqIyhoDGnbUcnFEzVuXwV2bvxClghBxIitp0iudwo+qxoInWaPPVJ+G1lTPVPOgpsdhii0VrszgDTVCf6Qei5Vhwj6lHds1F85i1mf9O/A/rwm+y8hAkffDDDz/Ue72QqqEQKJasWsMa0TjMOid6jdSPyKrq+1ou9UWC+u677/prSgd0XdOWKVAI+tmYGQ4wa5Immt4Q7cILL/ROPuvTAn5an80DY/Wxxx7zn7nPn376ab+HEpjSGdS86wnU8iJFNwdLa7TpkERhn2T/xNhH8kuTXu579lDd802DkbAoUVmXXFOuX6iIZL68rmn5cAbRNJYgHw4+waiwtIxrKwl6eWC/33zzzf6eJ7AXJlBDlRQ/x4copNweW3L4q3jBmXkK4TzJYtgwOMxCGOs3aNCgSr20zEMGlcDLhAkTvEHA6BnRsrVMFprrSXd+AlLFQSnRtAAKDr8pfiZPnuzWWWcdXcJmQNYEeS8fNk8aI1b3fPPA+Gc9hiVoNE9irCwOgGgapuajmewzzzxTkO3XGm06TD4yuH4EAHD4caZ0PZueld5jjz0ip57r98ILL0TOK4mphpJTohAbD0dwlFK9+eefP0rWUYZCB/+uXbvqspUB9uW4ceP8Yxocd+zYMTqLZsyY4R/TA0X3fGmKpxrUhxz+FsJBbtHTYqxrvNVGlgJjtViepgx/0+nQoYN3UC2AYjN7RfN45513/GcaeklG1TLInGJYEZhCCUTDKV3T5jFt2rTosQWhOnXqpOvZgmCUEZ5TBFQ22WST5v63uQQbwM78FVdcMXKmKDWjga8p/kTzIVCKIoXxXZzxxckS0bxzniZpOpOaBhlnJnHYSDm7fmSoOacI/umalgfnTXhd7boRSLGxh+utt56uZwuRw99CbJxRWLsXZk+guHt/cTaVyKBoGVYjSfSaLGBD11w0DGoJm4eKJE0j+VpG2J2bLD8BPl3T5mF7KkFRov9aoy2DABR9JphuMnPmzCg7RWdkrdGmYeO5rEb6xhtvjJz/UiV/oumEvRBwBjbccENdxmYSjjvTOd/yHhNmc3ItcfjZQ5H5q1ln44SZe66rnT1hh/411lhDZ1KSm/aFHUCzChIzpI/UPRZn+S1zz2xJUX1DAGMV4/Wll17S5W4mHFw33HCDd1LJSKsGrXJTJEwGSDDFen+Ipq9PsEkHXM/Q8BLNlwNidNEPBdQUrelYkLRUh37RPOiB8Pzzz7s777zT25PheRQ6A6Lx64jihMCeSfo17qxloDChVwflO6h4DLvfKY/Q+MjysMAT1zIMjtoeysjtFVZYoYXvmKhahh9Hf/PNN/c3AnXV5UAkDIkW9etpcjQOO+wwt//++7v777/f7bjjjtHz9913n3ec+vbtG+vry8uBxnoDjexpPgSuqJkiWo3MKk33YVJBynvIIYf4vgh33313ZGx16dIl7peWunvcpH90nDbjSpnoljv8OANcU5pOETDF4ac5krJT5cP9zL5JUAoZqgX15PA3H1QnV111VRTc6969uy9DYXSszvnywfG8/PLL/WPmnKNMVYf+lnPSSSd5ZzQktJm4xpTtioYpHhcZXj8gEF18nUWCMvxEaXiTaL7ADcAHzj8RseLH9kEEZ+zYsW7LLbf0ssK0sM8++3hp2WmnnRYpGq655hpvRI0YMUK1ezUg3CjCMSmiadi1w2Cde+65/T0qWg5GPzVohozV5sn5rUOvjTYMuyKLlu+dVn6C3NfKJ0T54JRSwxs6UwqaNh8SQHPNNVd0NoXjI5XhL5/QJrL73c4gSkpVa948Sjmh3P+GzvmmBfLDs4iz3vZRBU0TnuHHod911129E7/WWmv552677bbo6/BxyCOPPOK7NNJRNC3wWu+55x63++67e4k/jfwYZ4YMjeCFqD4cWhgDNp4P2Zoyf803DDD4ZahWFoInfHC4yVht/toEMxC0RltOWBJhkyQAY6vc7r+ikNDhV1Cq+XCmswZRndn9j/HPBASeYxKSMn+NY9eORJw16rQziOspJU/lIFGCqpmgtM75xgkDy+F5Q4kZY3htjYoEZvhpVmGdK5sDnYLPOeecgpqYtESikfRPnTrVqxTofrrVVlvF/bJyAweWjT8kI1CqiaJoGOqibfNFqaJNtvLgoBIgVOS/+UYr1w+pL2iNVubssrrJcMax6vjLB8eTTJVh9zeZU+pSRfMxJ4CmiJxRds+jQqMETTSO2UNcS2wlrt0bb7zhn1PQtGUwlo9G0aHNaWtU53z5a7M4+KySk4Q7/NRV9ezZ051xxhlRU6Wm3jjbb799qqON1OtYyYKoLbZZIKtkTq9oGjT0sREoyvBXFva2008/3Qel2CMwVEMHQTTOpptu6vbcc88osIfjb03mRPPhvN1iiy28Ig91ne2jcvjLh/I9evmceOKJ3g6ya6fsfsux9chUDhojFtdIi4bBFrcu6BY8efvtt32QSmu0ZRAgPf74493QoUPdk08+GT1va5QgtY2PFaVp3bq122CDDbziOwyOyuFPuMOPVGivvfbyj/fee++oG2hTul4OHDiwki9J5AjGdgBS/hdffDHul5NqyTQOv4zVyjbuwxEAHFaMMLIConwolVp//fXdBx984L/GQNBs88rQo0cP17VrV+9cmbEqZ6ppeyfGP40PCUTZfHNlT1tOKPMlG8h9bzJ+rdHG+eKLL6IRpnYt1WOicsFSm8ITZqpD20lrtGGYcrbHHnu4wYMHF5ThmjqCMyksNRPNp+Jp6HXWWcftvPPO3mG44IILXJs2bXwEB6hnISjA1+FjDkqCA2xKHJZDhgxJdZZfxMPyyy8fPbamXqJ87MCyezG8nqJytah2eHGgrbnmmrq0TcTqIuVMVQeM1QcffNC9//77frQUiilR3t6JvYOzb6URKjlpOdiIOAKcSwRWOnXq5JU9qPjkTDUtkG9qCXOmGL274oorVuBdyi+c6wTvUVEQyMeHKR4fSQZbNA27t3XOV46q6c7JFtBY6eKLL442HORYfPA1n6nJYlwIhyNSYj6ozeTfknEQoilgbNkoKcumivKx+5SmhyuttFKqGmemAXP4yfCzRtXQp+lwppCxAilQqkNoYL3++ut+0o6oH84cc/hxqMK6XRmrLQenlLOd/jJh4z5z+DU+smFsbRI04TqGzhTnvJoeVq7khLOJvh1cZ42PbD4Emgk4g875ylH1QnMc/qZ06ReiudA3AYkvDisbBioTSYGaVhLx+OOP+2vXoUMHLcQqGQYYXnTyVUOf8qERLNcrlPzJmaosTJqhXILGuQbXXA5/w1Cj+9NPP0VBPSYNWfNYzeCuDBj91PdaNtqUE3TxJrNqsmpRFwL32EGcOQRPNO6ssoSN5giu4PDb+EimSUiFUj/0kiDxwb6J/cn6hDAZonM+gQ4/G+/NN9+sud0iVmgauc8++/jHbLSdO3fWO1ImjJScPHmyf0xNlaheLSoGGIeaslPlGwY0Opx99tmj5xT5r/yEHbKozJFGxk/gTyqUpkumw4Z9Gg1bGWjmHBKWSnC95fDXzzbbbOM/rEks6lpTQMqZqnzJyXrrrRfd/xof2TAElCkfI0BCcji8pw2VRSWwad9pp53mDjroIN+t0jp9C1Fr2rdvHz2Wsdo0woyzNtnKg8zPyiRw+Bl9qPGRTXOqrLM0DfwWXnjhKrxL+cUyVVxrjZUqn/Ae5h4P55uL6lDs8IvGsQan4TmvoGnLIStNVr94L7BgCv4QAWtR/7nOeR6Wltg9TfljqKAQCXH4zzzzTHfdddd5GfXuu++upmkiFth4mSsNkkw3DdtkibaS5ROVLzkxw8BKTWSsNg5yaRRkYPX7cqaqp0Ahs2/3P7O6rcO3aNho5dyhxwQjOEHZ0+rB/lmq47xonDARon20MthatGkdxfe/bNGG985Q/RheL9anGrgnUNLPSL1+/fq5XXbZxV1yySV+ZjLjFpAI20z6X375xUfD+FmMCN5MGvT17dvX/6wQLYXNgag1DX2QAIvyYIYsxj11klbvJyoPBxtZAJslj7Haq1cvXeoyJdPWyEfOVHXWpmESaWTA7777rm/uJUoTzjiXSqp6MHmHD+zJLl26+D2AvUEOf/1w1pBh5n62cihbozxnyRHRMrj3WZdcT/wc1BQ2PhJVmtZoXei1ZYH88OzBN8QWBZ3zCW/ax6I/7LDDXO/evd1OO+3km9bYmD0iX7yZ3BAoAcjWTJ8+3Z199tluiy22cMOHD3eLLLJIpV+SyBnIg2g8hSHGYWeNQET9jBs3LhrRI6l09ejevbvbaKONfHAUZAg0TiiTNANBUtTKExpdc845Z0FGUA5//Rx//PG+Lhr75sYbb/TPUdOrJEZlue+++7yzStkEDj8JI5p5EgTAeVCQui40kHzuuefc/PPP784555yCM0fZ/cpB4nKTTTYpmGyEPWXjI5XhbziQH549lD/gI4LO+ZR06WeG9/jx413//v39BjN48OB6f5ZRfCNGjPA3DJ2CaR4mRHPhcPv666994yk2D8nTG4agCAYrUFe+8cYba/FVCatHY02SOZXDX75hQDDZGk8p8l952C/ZO+k6T1YK45W50hirNP0SpcGwL55vjv2DklFUDlNQcFaxPkOHlfGR6667ri53PcFSU+xQHkWABOTwV476Rhva+Eg16G282akR2kQ65xNaw18KJESjR4/2ThcdgOuDbMKRRx7pR/UNGDDAR2uFaC7LLrus/0zEn81WNAxKCDrMAsobGQLVx67xhx9+6K+5KM8wABwpu8dFZbFMy2effeadVlBQqnzsWslQrd7aREnBmRWeU8qg1oWgiAXyzaEiMFKqxlxUB7vGNj5S1D3XsdPD8dm2hxLgl7IsRQ4/IOUfOXKku+uuuxr9WSRwV111lbvggguq/bJEhmGep609SkZE+Q4VzqcMgeqDsWryP02TqB9KwHA+bW2aOiKUTorKO1WU25lDJYe/fmjQZw4UDfvUVLJ6hFlAzqylllrKq1JAe2hdcDBtbdp9HQZGdM5XFpIm7AH19fHQPlpafcLaDBvz2XXC2Q/H8IoUOPz+l/zlL77OrRyWWWYZ38TKMo5CNBXWkEEGVZS38SLfRZrGXFlRPe6//3736KOPRqUTMgTqB0Ng4MCBbuutt1YjnxqAE0A/nX333TcqhfrnP//pDVlRl4suusgNGjTI3XzzzQVOp5ypykN/J+vHw5nF3qDxkU2rkbazhqyqxp1VvsfECSec4JuWl6pBlwqlkHbt2vnrQ58DgwBV2KFfpKSGv5imNE5TLZZoCWHjR+pR2UQ02qNxh5/6fQxVXavqQmCF0WdzzTWXz1TL4a8frg9rkkyeGbBq5FM9aNrJB7BGDdaoensUQlLik08+8dLp0FAFGavVSRxRi86kDtsLuM6TJk3ywUD2VSl/6p7r2N40MobQmeJ6isphfRKs5ISyM6TqBFZ4L3TOF9KnT5861xCFFP23QEHTyqM7XmQODjLrMo0kiAyVqN9oNeMJybScqepj2RYCK4znkyHQOGEvDivZEdVFctSG4VzB2bd72u5jAs6adFLdvZNAC46VrVFKK2iCKv7EznUcUWwiyqOo4Qc5U9Vbm8WTZexa65xvHAVNM+rwI3+xzUeIakVbcajUuK9+iKZa53PV79eGUEpJBmDGjBl+UoJo3BDAcNXUjdqA02pqKRmrjXeZlhS1dk4VDj5nl4JSjQfy7bx55513orNeCpTq7JdWcx7uDXatUaaEqilRl/CcUfIp4Q4/Tvw111zj5VU487x5dOd/6623/PeJhiMb/uqrr9wuu+wS1bkY119/vVtzzTXdZZddVsmXJXKIOQWsOTn89YMDhRGF8UT5gwyB6rPQQgtFhgEBKfZBJpmIQsjgnX322e7qq6+OgsN0jg9nxIvKQwBq1KhRbujQoWrc1wCWxUOps8ACC3iHCpQ9rR5LL720b9bXuXNnvz9Q/2syfgWlCkddt2rVyp/vxSMjQSqp6pWc1Ofwg5pL/gE9jMaNG+eVOiF2D3MdF1xwwSq8S/lm1kpGFI877jhvLIQ1wDxPEzAMtl133dWdeuqpbq211nJnnHFGwb8fMWKEO/DAA13v3r19MwchWkL37t3dySef7DdeaqVF/c4n2eVnn33WO6ErrLCCLlWNgiw4CDaOBkNAmetCvvnmGz8zmg8bLyVnqvpwrdkPAIfqySef9AEpsoNzzDFHDV5BOjCjHvsGOTk15KCgafVYbrnl6jSA5szC7lRTtD+hKd+JJ57oz3br1G/XR+POqgfnOnsBewO+D2d9sQplvfXWc3mG9UhymPNkww03dP369Yu+J5VUSjL8LGw6VE6ePNm/kfYxZswYd88993hDgfnJxmKLLRY9fvjhh91TTz3lrr32WnfEEUe49ddfv1IvS+QU1htjHkFR1YYxBQTGfVOaa4rmY1kXMvwgY7UuYR2kPZYzVdtaVGv2hTOLUyVcnQkwoZwfFJSqLaqRrh/OcybvgK1RznmNO6vuuY5qzyab8Jyd81KhFJaRhuWNP/74Y9SHQ3toCiT9OP1I+MkO2AfyfkB2tf3229c7u/KWW27x3YHVYE1UCts0yKQicROlo612CGmTrb1TRbYFBYqCUg07/JSCgaSo1Qc5pan0woy+jNU/od+JrUmMVguaUm5CFlrUDqv11fjI8s55BU1rEyw1BZDGR9Z/rocOf3i+6JxPyVi+8847ryCT/+2337qVVlrJy/jrCxLsvvvuUVDApJtCVMIQIMLNSC8CT2uvvbYuagARVQJtVkcuhz++xn1kXzQ+shAzmMhQ0WEaZKxWH5x8GlDhQBEo5WsyMnL4/ySsPS1u2KdxZ9WFc+vNN9/0+0OPHj0Kzi2Nj/wD1iMqWnpL4HAyJo4SKZAzVf1gKTZn2KOMfWHixIneDuUsI9CfV8LeJ9bzAMJeWzrnq0PFV93o0aMLnPvbbrvN7bDDDr4JEDMWyWZh4LIB7bvvvr6pWseOHf3PyuEXlQRjdYsttvCPp0+fLoe/xMZLCU6HDh38YSRDoHZw0A0YMMA988wz7u677/bP4WCZhFr8aRjY6LM2bdr4RlSiNpkq1iOOLaVRKPfk8P8J/TZoKInTicOvcWe1g34Sl19+eRTUD7t5y+H/Qw01fPhwfz1Q1RIUCe9dOVPVg1KJ888/3/dQCLFrThAAxSllFXkP5BNUDhVkFjSdf/75CxIiIsEOP1Eaq8+ASZMmuW222cY3qiC6xZuMsYsDdvDBB/uF/9hjj/nncfg/++yzSr8kkVOs4RSoRrpxybTGoNQOlCcEWhgvZbBG5fD/Gayj1g8IFIMUKLV1+F944QX/HrAv4PBTdiIViivozM8H2Wa7jxU0rc3aDM8wmvaxb7JPKChV2CHeMqhh9lT7aHUpdvaLrzlrNM8Ov9mdxU59qJIKG7+LBDv8p59+eoGkn1q3O++802f9yfazOdvjzTff3Gf+u3Xr5h0zHP5wsxKiJTC+xyge/yH+3HgJ0GFEaZpB7SnOTjFdQhQarcwvBhmq8ThVto8SFGTPCPdVURhM1hqtzWQZbEyCLLZP4CTg8CuwXxjIt/vYAiHcu9ZATtQOypqR8SPnZ41ut912ubz8P/30U1RaEp4xqPisKaz20JQ07YOxY8f6bIB9UNMfEjZPI8rFeAYbx2e1WUJUgnCOJ2uLBpGirmFAUE6bbHxrlFpLItrKTtVdm/Ddd9/5z1qjtSPMvoQOgtboHxMLGHdmWPYUgz7PmbtaEdb+hg4/IJcOVVN53juRRtu9a2tUCpTagHSfcbL0MDOpP03J876HhoH88IzB2bc9VWs0JRl+av7YWKZMmRI9N3XqVP+cLfYPPvjAde7cueDfDRw40NcJ4vjzfW6UZZddtpIvTeTUMODAIzNF92TWltbVnxFVa5CJw7/pppvG+l7lEfqYXH/99W6dddbxPRTybAgUs+aaa3ojiXIvKxGTw187kKp37drVS6WXXnrp6HnWaK9evVyewT4ZOnSoa926tfvHP/6hcWcxgLNALT/KPQL55vDb+Mj6mkTnyeG3DCrnu8aa1g7szaOOOsqXP1kPBWCN0usjzw16qdnv1KmTX4+hwy+VVMocfjbdRx55xDsRdFWmRhX5ClEbPjbccEPfrI9afeOHH36IHiPr33rrrb1jRjZWiEqAhI3NBMefwJMc/j/AUOLQMYNAUdXaQwkFcnULTJGdQvKm0oo/Gvrwcdddd/lrxfWRlLx2sCZ33XXX6GucfgKmCkr94VBh7xCw4141Y1UBqdphziy2JYmmsBEdvSby6vCTWbaeJ+ZQyZmqLXTop44f/ybMaLM/UMpMX5S8NujlHOnfv3+d522NEhCg7FskXNLPKBqMM5r0jRs3zj3++OPuhBNOcNdee617/vnn3frrr++NtnAjxoAIOe6449yECRPkfIiKYYYA/SFoFCnqSqYl6Y8HAqAmueQxARirYxOuQIqqRj7xYs6sHP4/906SE6hPTLaroGl8jfuWW265qHdUnuv4w0C+OfzhPaugVG2CpbY+ix1+I89rtBR2PZh+kueRhamr4Teoo0LuZvVURLwefPBBL7myEUtIO0KQcApRScJo4bvvvquL+z/sIEKFg7NJIyRRe8ww4D0AGQJ/QvaOyS4gQzUZzSU//PBDL1nNM6FkWs5UPFjfEzvLCOjjLOQ9KBUG8s3ht6Ap/WKwu0XtznWmjmFjlWrQK/4AtZTZPQqapsThx5EPO6ETbT3zzDMLfmazzTZzI0aM8I832GADSTdE1eGAI+LNpquRj3+yzDLL+Mw+8j85U/EbBgREUUnJEPij78uwYcO8OswCxFqjtYfs9b333utGjhxZ0AAVyXReYT0i5TeHKhx3pvnmtYOyUfpC4UQtssgiBdefPTSvDXoJklJmgjS6VatW/jk7U9hD81g3Hue5zn5hdqc16IU8nvOUMdx///3upZdeKhjdTlkjpYygPbS6VEw7cfvtt3tJPg2oDCKvGLJ0CzUYvzd+/Ph6/x+6rx5zzDEFtf5CNBd6SWAY0GQJkF/SkCrvEEl96qmn/ONBgwbF/XJyi2VhcPap/cujIVAMzbhobsQ1kcMfH0grTZUXqvHIxhSr8/ICzr5l7Lh3MWAtgMr9K2rHEUccUfC1OQv0gCLTHTabzAs032W0K/Xj7J/U9NvkKwVNa0fYkC5sUMcaZQ/J4zn/1ltvuXvuucc/Pvnkk6PgRxg0VYY/JQ4/G8tuu+3mI6/Iq/jgMVFGe2OBAAB1+nvttVed/4Moz/nnn++eeeYZ3wuADUuIltK+ffvoMRstDSTzTnjgaJNNRi0qsn6yp2Sn8rz3WbkJ1wB1jmXzRO0dfhRSvB+ogViffM5zhj+sybWGsCBnKn7C94DzLY8OP1gTWKAnjAWotEZrBxM82D+59sV1/I8++mguG/RauQlJOK6PYXso5z3T2kQKHP5+/frVeY6OlNRQh436qOlnI0bSTyO/Ymj8t8UWW/gbBUNPiJZS3CxFDr869yYFOvVyACLFxEijRhqJG02o8ggOvhkGNq2F2eY6C+ILSGGw8oF8mvGRee4zwf0JGPOsSStjVNA0fqjhx9llD2GNYkfmHXXojwcSniQ62S/CvgqmQmGN0p+mQ4cOLi/YdUDFHSY0bI3iK9IIVVSPqqeRimupqO1n3M8uu+xSUPNvYNydcsopMvBERZ0qSkRQl1A/lHeokX7xxRd9oz7KbcIss6i9YcABGDbuy6Pcz2BkkTV6NedKman4sL0BibA1ncJQ/fXXX10esWwdxjxlJ4bWaO3BaSI4ylQoVCdkS23sbh730C+//NLvmQSPi50p7O7ll18+xleXz70Txzb0gcIa9TytUa6B7Z1huQP3sEn6FTStPlWdf0AU3GowQ3beeedohm0IjRyOPvroar4kkUNYV6hJiP5bw6U88+yzz3oFzZprrumNAzXyiZdtttnGO1B9+vSJDIHevXu7PBJmQ2yetJyp+AiDgWaosVapC87j+3LwwQf7RAX7JtJcQ8Zq7eHcogk0ZSbrrruuD0jxwTSePDlTBoGPRx55xCvGLrroIh9MDsed8bWoHX379vXJTd4PA3Uzfg9y/jwppQjkW6O+0OGnkd9XX33lH+fxPMlUhh+jlY24GBr+3HLLLQXN/IDOomG9tRCVgOi2zfbE0bWOoHnFnCoMJW2y8YMx1q5dO18TDHkyBBpy+G38m9ZofITGWRigz6tSChk/WeSVVlopuk/pEm+d4kVtsT2zWA1ENvG7777L5d6JohHnnqxq2KFf1BYUpaGzD2T8w2kSeTzXwyCyGvZlyOFXRFEkBZv6YI3R8gpOPvJce0yWXyQDk0znyRAoxmR/GErWbEqjeuIjnLJDhobgaZ4d/hA17EuOw0+mkPUZ7hV5OufD3ifmUIXjzuTwJwdbo6zPUgroLGJrE1VO6PCHyQ2d89Unv62gRa6wLt8YsC+88ILLK2GkVRn+ZIEsmAORub3UY+YRy9SZ/I9sKvesiA8z0AjGmFEWZmbyAqUMOFaAI8X4SJCcP36Hn/eF9Rk6tnlao6gZrMmpqXLUsC9+WJeMgv7ggw+i52wPpVcNQZk82Z0ooWafffY69yhnjMZlVx85/CIXhEaZJNN/GrBq5JMMbrrpJvfee+9FJVB5zKBiHNHMdauttvLXApSZih86Sffs2dO/L7aPkp0yBUZeuOKKK9zgwYPdjTfe6Bv2mfOvNRq/w2/BQsZ9MQo6b3toGMgvdvg17iw+rrnmGnfMMce4K6+8smQmOy+2KFOHaMjOR4j9/Qqa1gY5/CJ3hkGp6RB5MwxmzpzpVQ8qu0kGqC3I0Nj85DwZqwbqBnoZMLLVyhpkCMRP586dfQMqglH2fpCdsgx3nvZOyqH421V7mgzIClpvCRx+9hArU8vTHlqqRtrWqMadxYf19kCxZ9NnmDVvY+nyUr7HiMxBgwa53XbbraBHjykfJOevDXL4RS6gDtU22V9++SWSDOcN22Al508WlpXBeKXBZJ6M1WJCZ0rZ02RBQCaPkmkcfWsCx71qmal55pmnIJgsagsOfnHjPnP4CUjlpUGv/e2M2uUMQX0yffp0/5z69MRHWK9uiSb6oBCEyVOGvxTh367Afm2Qwy9yYxgsuOCC/jFZVGZJ5w2MHxuBgvGqTTaZhgGNJfPs8Id/u4zVZEF3ejrVQ54l02askpmyQLKIB3P46X1CmZrtGTi9eXGozOG3a4Fz+c0339QJ0on4ppyEe0geO/UXox4TtUcnlcgNFlVFxm7R7zxBzS0HEE1k+FD2NJmGAQ4/BpsFZ/LC8OHD3XXXXRfdm4svvnhUjyviBcN0zJgxvn6dMZJ5y/CHxjp14hYwVtA0fpZZZhm32GKLuY4dO3rlXhgkzENQiiAHjdBCtUNo3yhoGh8oLhg3Hk6gAbO9vvjiC/+RZcaNG+fGjx/vPv/884Ln7fwgEcf9K6rPH8PJhcgB2267rTvnnHN8drtNmzYub+BIkvVgAyboQS2ZSE4t6pxzzul7K1gdPwdit27dXF7UJxbxNwNImankgIP79NNP+2w2Ti4OBeuTWd95yHBbBpXSMEbAURYGCprGz9prr+0/DMoscCLIcOchsI/i5pRTTvHBDu7HMNBBEEBrND5sDB3lJaHDH55trFGaomaVBx54wCeYaP46YMCAOg4/65PrJKpP9k9qIf4Hxpo5uXmI/JfCNlmkuRZ5FvETzqclMJO3NWoOVdhnQpmp5GCZQxwKRiVakMamKWQdW5Nch2nTpkXPa40mt/ln3vZQznOCxuHfjarRmhqKeNV7qPZ+++23OvtGloNSNObD2Yew1wlnx5tvvukfr7XWWrG9vrwhh1/kCpNgMlbpP//5j8sTYSMfZU+TaxiQ4cdozZOxGs4ppqEkyJlKDqGxZgGpvMj6MU7psg1LL710tIfSfItJJyJ55LFxn6FzPlmwZwD2Jn0m7IxnVB1k+ZwPA/l2HaxEzNQoOudrhxx+kTuHny7oRMItwpgHGAlDfTTRfiSAcviTWYsKSKQxCLJsCNRnGHBvmlxahkByWHjhhSNFEIYr7xPkYY2G9fuhw29niYgfnHqCT/fff7/vVWOBfZyK1157zWUZkhdkUg017EsW5uhie9mkDzAbLMsZ/tDhD/sUheeGbNHaIYdf5Arq3Lbccku30UYbuRdffNHlBTbeSZMm+Vna1Itrk00ebdu2dXvuuaeP/JPlxtGwTstZxwwDGlCBGvYlC4JQYQdw1mpeHH7+1jPOOMPtt99+3mg1B1IBqeSAs3/JJZe4e+65x2dR8yKZ/vHHH92wYcPc4MGD3WOPPeaf05STZEGTT/aPoUOHFvRTsDVKT5DihnZZHBc599xzR89bWRS9NsIJRaK6yOEXuYLadTNgs2wINCSZxkhYddVVY309oi5Ipddff30flMmTZJpGhSaZNsNHAankZqpw+M1wZX0iIc4ylNcwLYLGcAThTIGiNZrMkhOcDAIzBLazHpQKM6g4lqCGfckCW5P9o7gxXXHjviyvz1DOD2FpqRr21Q45/CKXsml4//33XV6wjReFAxlkNexLLuGorywbq6Uk07ZOlT1NduM+qz9FiRI6HVknNMzl8CeHRRdd1P3tb3/zj1mPOBG2h2R5Dw0D+eZU2RpVw770nPNhI9CsQGLp66+/riPn53l6a4Aa9tUWOfwiVyyyyCJRRJG6P5MQZx0zDKghk6Ga/Hppm0ubZWPVCB1GNexLRxYVKaaR5dIoumqHzV3tfqQed/nll4/xlYkQxsyaU1E85YNePaiIsrx3omZgHKEa9iUXekuwNq3fAu8XQZmsnvP1NewLVWEK7NcWOfwid/Iq6zLNhjtjxgyXh4Z91ImBHP7kZ7vPO+88t84663gjLouGQDEc+rvssouv80OBYs+J5AVLO3Xq5LbbbjvfA8Ua1mUxO2XgLB566KG+BvfTTz+N/laycziZIjmYU8G8cwI1todkuXGfBTfCchvr+6I9NDl89dVXfh8588wzS/ZYQJWRtdIopphgx3BuhMFiNeyLDzn8IndYZoZO6C+88ILLk2RaDn+yodQCuRsqFAJTGHRhZ9+synE33nhj98UXX/iv1bAvucHS/v37u80228yXRq2yyiqZd/i5/3AeyVYx3YSO6CCVVHLL9VBk4PhmvXFfKJk2h0oN+5IJiigLEIZlGLaPEBCwkX1ZYdlll3X77ruvGzJkiE+uFd+LKBnbtGkT4yvMH3L4Re6wTRYDNstyVCM8YJA2rrzyyrG+HlE/NPdhZCTMP//8/nMesvzh3ylnKh1Y/SXvG05xlvdO1DZkjk3er9rT5BHKhnnfcIKzvIeWkkyHDfvCGnGRnCknYe+oPDTuK0YN++JDDr/IHdZwCvLQcCps2Ie6gUyVSCYYamYYmLGa5QyqgQzVlCiSoqYDc3oJIr711lsu612m1bAv+Uoha0aLUxU27suiMxXaLnZmqGFfcgnLLixwSFDGekplcY0WQ/+Cd955xz/WOV975PCL3GEjUshK4WhktaFPKK1i7Bl1/MqepscwoOQEGWCWVShPP/20Gz58uBs9enRk+MgQSC40OX3ooYfc5Zdf7hvXGVkMSiGZRmpb7PAjTw2nvYjkZFHbtm3rR+9SFgTt27f3n+nVw/uZJXAaCXCgPuGsoAZcKqnkn+vYnfQDAfZQa9yXJYefYBTnxBtvvFGy6SlIJVV75PCXAXV71C5OmTKlwZ+bPHmy23nnnd0GG2zgjjzySPftt99W6n0SFQTHomvXru7+++/3G9Krr76a6etLx/cJEyZ4x1EOf3oMA9YphlyWHX7uv1deecV/Vufe5EOjvgcffND3PiFbQ2OmrDr8xRlUM8gJSOFciuRxwAEHuCOOOMJtsskmBQ5/6Axnhd69e7sLL7zQHXvssf5rFFJW069zPvklJ4a9V1lq3Ecn/jvvvNOvz19++SV6PgxqKLBfe3RqNQBGzIABA9xqq63mrrvuugYjxLfccot3IjlgzjnnHN/dd91113Wff/55Nd430UIIytjmmkVjNSTcZBVVTZdhgKyfPSRrDX2KDR8zCnCsUOCIZIKja+uT92711VfP7B4aGuXIxQlKgZyp9GAOP2QxcBpOHQobEK+99toxvipRCprUWclJKYcftSly/yxgfQo4y+eee+7oeQu6tW7d2n+I2iKHvwGod77iiit8JLUh3nvvPbfHHnu4vffe2x199NFuww03dGPHjnU//PCDf04kD2b22izpLEmpSmF/H4cNckeRbBhPZ3Jpq+PPorFKhtgyUjREKzbQRTIxOTuyVDNWGXuG3D9LmFHOOUG23xoTyuFPDwRqULhldQ8Nsb/vb3/7m09SieQ27ivl8GdljZJIM4efctKQUCUlao8c/gawURJWY1MfJ598ss9QMYLCQOq40047uQceeMDLqUWyQC5NtpuO6Fmd0QtPPPGEH/OGNJxsnM3OFslem5ZFpT4zqxnUsFuxOfzKTKXH4We+uT3G2c/aPmpNJDHSw/tPKqlkgxpq/PjxbuLEiQVBxCw4UwYBKLLB3IOGrdFVV101yiSLZMG5zvmOU2zvHXaZjezLwphoSpkJ5kPY64Tn7cxX0DQe5PCXARHT+qAhxd133+0dquJF3KlTJ/+ZhlQimZnUHj16eKffNqisQeMUnEYy+9pk08Pmm2/uDjnkkGg2fZaM1VIO/3fffec/K8OffMKsTSjXzFpQ6qSTTvK9eLgX7f5DcWNZOpFMbr31VnfDDTf4sy8M0OAg07g2C2Bznnbaae7MM8+M7FCTS2sPTS7sJcOGDXMnnnhi1AcE+5MgTVbO+fBcDx3+8G/TGo0HOfwthEZ+OIsWuStlGE2aNKmlv0ZUAasVxojLWkMfi6j+61//ih4rM5Ue6DaNLNOCNDhTYTYnC5hhgOrk//7v/3yWQ7Ojkw/7pdUNc/YR7M6iwz/77LO7FVdc0Z/jlnlDgVJ8zotkYU4GwdJ///vfBc5FFtYo2WHKSMGmETCFgL8V5EwlFwKkpdQX9p4heecszMK5TkCD0llj6tSp0WOt0XiQvreFmBS1VAMKq79taNY7Rrxlt0JDgw9RXVZZZRVfh0q99HPPPec6d+6cqUtuRoE5/GyyWXMasw5BmjFjxvh+IMw6xwHJAmGdH3+b3Y/se1qj6XCqME55D6nHfPbZZzMZlLJmWu+++65/rD00+ZgCw/YYm3XO1wRuNt10U5dmGLH7008/+cckmrjnQmeKMyOL92GWYV9BlULQhtIoa4aaZruT3hmoo20tWtB0ueWW8wFjrdHKUe7UmFw4/Ntuu22B89MQ66yzjrvqqqvK/r9tTi+ynGLMaW+ouz/NO6xO1zj88MPdoEGDyn4NonmEQRrkRjYbNSswGgUwdPhgPWbtb8w6ZHDYzDkcn3zyyYLZ52mGAJQZreb4o2rQ+kwH1vCUposYcDj8TKZ55513olF9aQbD2/4O6sHDQIfWaLIJM6icgfRiQqVB0Aa1ZdrfP8aYhhlj/h5bo3zNuk3735h1OPtQoLB3whJLLBF9j3Pe9tc0B/KZSmDrkOctKGWJNlE5wvXj8u7wn3XWWe7nn38u62fDmsSmRFZKyfysa7HJH0tBhLZ4Drwy/LWB98X6K+CAWDffrGDBKGS3SFFN/ifSwVNPPeU/yEg98sgj/iDNyhrFoGHkKSVRNJYEpptk5e/LOh07dvRGHA4whivZKYJS7DnrrbeeSzP8Hcxyx3HabLPNCjpqd+/ePVLuieRCEoUz3c51Ejk4/K+//rpr06ZNqssyCK5ZKRQlX2RRCbZZprhc41/EA+cdfSbgvPPO8z4HySdKo7DVWKdpPQfxsxh5zZ6J8sv+DgLB1ieL76f170s7uXD4V1555aqOfakvi29S/YbmShMwkAERD0T+Z5ttNh+Y4X1AKmfvZ9rBaDVDFaOnZ8+eZct+RDJgDBhNpnA8yFohoc7Ke4giqkOHDt4AN0k/Qams/H1Zh8yUZafC2dHI+tdff32XZj7//HNvuPKBU2XNppjWk9bMW94gkcK5xxnInsLecsstt/ieNjxnazeN2LlOfTTJIWxPavhBe2jyCZ1d3ktKTlijlGKMGzfO7zdpPQc513feeec6z4e9Mwi+pfXvSzu66i3Emk+UqtO3+n4WuEgmlvUmI/D888+7rIDRyqhIwPDBuRLp7YbO+kQJZO9pVrC6PrIcWelPkEcD1gKlYS1xWgnL/3AczeHXyMj0Ne6j5ITMYtgkLM2d0AkCm61pfyOBYNQ2oDWajnPdFCbhXmPvHb16LAietXOexAWSfhEPcvhbCAYBDTaYdV58k1qtVa9evVr6a0SVQHZkG9HkyZMzO/JMXVHT2XzKIuE4/FmcdW7GN9kNRf3TCcarBbUp0TDnI62YEU72lCy/KfXkTKWHMIOPRNoagqbd4SeJZF3czeEPZ7drEk/yQbFn/aNKOfzsn1mYJhFigWDs7YbGnIvqIoe/DKybZH1dJWmwx/fuueeegufvvfdet/zyy/umgSKZWLSRJk3Ii7MCDVNwEMnuk31rqI+ESCaUm1g9pjX2DI27tIIE/PTTT3fXXXddpIKSM5U+qN2nFpU6VBuniLIolPinETPCCeaHhrdUUumB945SynXXXderh9hLrfN5mh3+mTNnukUWWaRAAWZrFLViVkoSs44Fa0jMmF8RJmXSeM7/5z//8WUzTLyycdBgkwdA53y8yOEvA6uPss/F7Lnnnr6Zz2mnnRY1Srv44ot9hv+yyy7zh41IbhYVZ5imaGSnrNFi2iHQNGHCBF8Tpk02vZhRh8NPJjXNxmqYcfvoo4/cxIkTo+ekQEkfGHKPPfaYV7eFE0/YR9MKJTMWsMAot8wUWTlJUdMDir0zzjjD7bPPPr73QrjHYJel9ZxnDQ4ZMsQNHTo0cvztTNAemj4FCgEc+vRYksbm1qfR4Sd4//jjj7urr746aiJpkzJMlSJbNF7k8DfAHXfc4TNslrk/6KCD3EorrRRJ/AwM8bvuusvLqbiRiS6PGDHCPfjgg6mf+Zp1/vrXv0ZdpZFvFk9MSCt0RbUoqzJT6Xf4Wad08SV6nnZspjkS/rBhn0gXZBRpagdkqUyqmeY6fppoWUkC9545U3RDt79VpBM7Bwnq2MjatIJqAbsTRY2NOJPDn87+PKVk/Tj8aSuNsnM9VDAUBy9ki8aLHP4G2Hjjjd19993nD30+MGSQrNDdvdQGPHbsWL/on376aS8P32STTar53okKETZVTLOxGhJusnKmslGLSpafhk1IqdMejAKL+kuKmk5w8K3khHVpsv40Z/hD4xvVggWAtYdm65zPSoPe0F6Rw5+uRqem/A0dZdtnmBhl5W5pO9dJTISTycwWpdxE4/jiRQ5/AzCCh6x98QfZtvpgoRPdSvOc1zzK+pHH8X5nwRDACBg/frz/m5CiVnMspaguvIeMugEb35lmh4oRUhawMOm0DNX0B6Qo0TCHCsk0aqk0YmuSe42/ia7oIIc/faA6oQwTpSUZfYJTbdq08d9L4zmP9JsAFKU0him+UJ+oYV96wIdACUzpSegrhPtMmmT9qBHM4aecNPybLCjF3ya/KF6kURO556effnKdOnXym1HaoqqlwAhAtogBgGRaUtT0wprs37+/D9yYYoj3d8stt3RpJMxm4FBBx44dY3xFoiVg3D3xxBNerWHOP82bXnrppVS+r9xr3FuU7VGPakiKms6984orrvBBRtYiChSCUjRTxuHHSUmTA8K+z2vnNV9wwQU+EGyBC/42CwyLdLD//vv79yycTkNjSew19lMc/q233tqlAZpDW6kzZ0IYpLIgqoKm8aMMv8g91sXXIq9plkxjxNBEC7755httshmAUTbMqLcu02nO8FsWwIwESKNjKFwd4y50ONKYQQWcKaSnbdu2jTJsZIUtMyzS9V5aEMoCjbbX4IjYPPu0YOe6qb7I9FsvAu2h6bQ7i0fREti30qg09esJz/XwTAhLTuTwx48cfiGci2pR0y7rp/aLjIY5/MpMZQdGTAHZ07RKps0wwNAhi4GBs9pqq8X9skQzoa/EQgstFO09VqOZ9l4oBE4tsCZDNb2Yw8/0pO+//z61dfyUJ1h/CZs6wDg+1DTh2SDSjwVvCOagPk1TMAp1gk0aCIMWJNJUchI/cviFcC7ajGaffXY3efLk1F6TMNL69ddfy+HPEARvUKJg5E2fPt2lDeqhmTtsa9OcKevuLtKJZXTYeyzAiLOcti7TBEitZp/sLx3QQdnTbDQ9JcuPSoogY9oyqMiiLchr91v4+rVG0wmBHMpI6Xti2NQoAuJpGcNrChr6EoTnudnSqBbmmmuu2F6f+AM5/EI4V9DYLpwhmjYs0sphQfYNeapIPzfddJOvlbYMVZqyU6HEdtCgQb5G2rqfy1BNP7yHffr0cQMGDIjWJ5Jp69GQFkaOHOkOPfRQP20nDPqaAS7SBw2UTTZNQApnxJqEpqk0ys71MMNvDj9OFjJ/kT5uuOEGN2TIEHfddddFAdJQrZGWoBRnAKNLrRwBZs6c6dWIoD00GcjhFyKQ9APz63/99ddUZ/ipj9Ymmx0I4JDhoeQExzlNxqqB4U3GjQybZfjl8KcfjDyCOARNQ2M1TbJ+7i0CFKhncArN4adW2npniPSBYo+xn2EW0tYoo5OR+afpXGckNM49mWE7AyTnTy8Ea4DmytY7auGFFy6p4kgyPXr0cAcccIDr1atX9BzqBBu9K1s0GcjhF+J/tUdkxGG++eYrkFilBeq9Pvvss0ieqk02O9C0z2rhWJ/WZTqNmDqBAEBYUyvSD84xThakKSiFM2j3ExlUM7RZn5pykg1Z/wcffOBLNsxB5v1OS1DKMvz8LQR8USGSmACd8+k/14tVHBYI56w0pzlthCopBaWSgRx+IYpk/fPOO6+fY5/mkWdkUBk1KLKByTiBJmm8v9bEKQ1gXJtDZc7UKqus4jNWIjvQY4KpEmnKThUb2/PPP7976623/GM5U+knHBeJiiNsZJuG0iiC9zbRxDK/4euWM5VeaHJqPSVszwkdfpI4KFHSiO3/2C6oFkT8yOEXImjch1NC5DxN2SmDTRWpH92yyQQvu+yycb8kUSFw8k2BYl3R02CsGhisRx11lLv00kvrSGtF+qEZ49VXX+2OP/74SLVBn4a0SKbN4ccAL9VAS6QXnOSlllrKde/e3ZdosI+utNJKqdlDqYXGaaLUpLh+H7WX/S0ifaBysyBOGHQM950kN5HG3rzmmmvcY489VjDOGlWC3Vsq20sOcviF+B+rrrqqP1THjRvnJk2aFHVsTgs06ON1T5gwwRvdSP9ENuC9NGMvjQ4/Nag4fzTxsVFScqayAzPBcUIYf2aBRozBJBurBvt8OPLMXjNSfo3kSz8EwglE7bjjjlFzOws2vvDCC4mXTNNfaPDgwW7YsGHRvWV7P+d88Sx3kU5ZP3unKTl4n1u1apV4pRSTTNgvb731Vjdjxozo+ddeey0aKahzPjlopxAikKN27tzZPybLnzYpFUYr2X2QnD97mMPPOp177rkTbQjU13SKwIXVnirDnx0wUC3ASNDUnJCJEye6pMMIPmvSSrbNHH5KE8gIi+xhe0+aJNMEoLivOONtvKmyp9kq17MsP3upOcqc80nt1xOOgQ7/Dk05SSZy+IUIWH/99aPHaTBWQ8juG4qqZrvBD1l+GjdZgCfpmCFDNpXML52zw8kYIt3MMccc0ftJnbSNZ0rDHhpKaVmXL7/8sn+sPTS7hI5yGlQoIWGgV0HTbHTqt8agpWT9ZNEJSibZ4acPQevWrevcU6hObRKBiB85/EIUZaowXDH8Qgc66fBan332WV+rSCM0yhNEtmjTpk2UcbRmd5RvJB2yaB9//LF//Mknn/jPMlSzh9Wi0g3dFEaUcPz4448u6U3RyKjRrI/+ElbKJYc/OxBkpCP/TTfd5OXwnPM4I5DkBr3sl+zx//znP+s0PcVJpO+QSDcoopZZZhlfbhI2sQ2DUklV85F0sL3fVF2sU3P4+RtUWpoc/ggrCSE8GKfWxRfZHJtXGjYsZp5iqDJpgBppmvaJbMGBeuCBB/opEmYMYAxuvfXWLsnQfdiMVbK/IIc/eyDpfOqpp3xNdNu2bf1z7Ek4WN26dXNJZaeddnJbbbWVn3wxduzY6HnJpbMDZ/jNN9/s+4jwwf6zwQYbuDvuuMOrUAgIJLEWnh4D9913n388dOhQX8plAQqcfZWcZIPDDjvMO/7FI055f2naiMO/ww47uCRBzwH2TLD93uxmUx4qaJoskrfDCREjRFiRp8Jcc81V0IgkqWCsvPHGG9EmrPr9bDtVZAKsE3oaMvx2D2F0k00FjG2RLUKjjz4TFihNg6yfvR51lGWm6Hy+4IILxv2yRIVgLVpJlAUgbQ/67rvv/ESJJGdQmR6Bs8/+aVMkNtxww5hfnagUxc6+KTgs+ZREtWloG4d7v0pLk4scfiGKMMOA8T1JlvsZyKV//vnnyOFXVDX7mLGK8RqOw0my0UpgiowvXbNDA0FkA5QnlJ2YrH+11VZLjcMPKKOQfYP20Oye6z/88IOviw6Djkk852kkaSNMbb8M7yU5/NnH9iHOeco6kujwo0JYcsklo+ctaEqASqWlyUIOvxBFmJSTCGtSa6dCLLsPdEBXXV/2QZLKgZp0hyqs37fGQxiqaSiTEU3HHBMcFVMaTZs2zctSkzrZBAcQpk+f7scLghz+7BHOqycISTMxevUk1eGnIZqNDKRUD+jTA7PPPnuU/RXZgKQN4+wYC21stNFG0WN775MAChkL5BNIC+v37XViR6u0NFnI4ReiAcOATFVSR6IUR1pxrlZZZZWoJEFkk9GjR/sPc0qSaKyGUumzzz7bbbrpplFHX2WmsgtO/m677eZOOumkaOJJmDlPEuzrI0aMcEceeaS75ZZbCgxtlZxkD9Qn7EeWMSXoaGN4kSGbc520QH5YjmDOFCVddEYX2eHuu+92F110ke8j8ssvv/jn2rdvH/VpCPenJOydffv29QGJtddeu8BetgB/ly5dYnyFohRy+IUogm7NRNCBQ9VkdUkEibQ5/Mj5tcnmQzqNPJ4MP+s0yQ6/lcawNi2TKoc/u9D9nD2IDuhhL5Ek9pr47LPPfAM3oMzEDGqcKytNENmBLKQ5zmQnwzp+9iYbx5g0hx+5NIEKSrcIVID20Oyqowg82Xg+eqFY4PSZZ55JTPKJewmV4e67716wz4dBCdmiyUMOvxANjJiicVOSHSo6opJBA5yqrl27xv2SRJUJ6+JwVAhI4bwkGctMMfKS5mgi+yy00EKRFDmJZSdhKRTyblMhyFDNvnqP0jdqopNax09pCdlSsHsofH1y+LPp8Fup2+uvv15H1s+IRuy9JGMOf6tWraJ1K5KDHH4hGqnjT2J2qlSnVGrA2rVrF+vrEdWHmb1WtoHDD0lcowSikCby2Tr3Yryofj8fkKmy7A9jQ60+PmkOP4ougmYWOFXQNB/lemTLyZ5bADJJDr8pEMLMrwVNkXirT0/2QE3K2V6fw29Z/iSrTe0eIiCVxDGXeUfviBAl4JDlwCVzyixcJNRJhFo+jFU+kFgRoBDZhkY4ZgQyoi9pxqrx0ksvucMPP9wNGTIkun+Umco+zGAeNmyYny1tEmoCP0lqgBqWQpGJMkOae8sktCJ70KSPZnfbbbddtDYty093cQv6xA3lWpznlEMV1+/Tu6XUGDeRfujBBNTBW7kRz9mI0CQ4/Ey4oC/PHXfc4VWlBuMiv/32W/9YKqlkIodfiBKwwRJZxUiluzjOSxL5+uuvfe0hH9pk84PJ5cj0zzPPPIl0+HGocKyQzloTIjVDyz44K7z3OE+sT+vU/MQTT7ikgFzaRplyL5kUlQZU3E8im5B1HDBggNtss818n4lwT2KSBJMaklJSuM8++7izzjrL92lhvYZTTkS2HX6wgCRr1rL8nPNxJ594XUw3efjhh6NzvTgYEaoSRHKQwy9EPXTr1i16/NRTTyXyOqlJSj4pruMPu+MmBTNYMAowUshUtW7dOu6XJWogTaUmHqg5tfFhTz75ZGKufSiZ5f6xr2Wo5o+k1vGDlT+pfj8fLLfccr5RX32y/m+++ca9+uqrLgnnOoHdsLmpOfw0bqVURiQPOfxC1AMNxkxOl1SH/+mnn46kihwWIh+QnaL2OKzjt7WQBL777jsv/QNrPqXsfn6wkpOPPvooMlapS6bxVJLq97mPQvWWVFL5A6fFmvQmafRZiDn88803n1t99dXjfjmiSlCSaX0mXnvttaiPQ1Lq+Ancs48Dr9Pq9FFLURIDCpomFzn8QjQA8jkcaZwXGyuWFKiTZaMlMIGhqmZo+YH3GvkfBoL1bUhSBhVjxbAJAjIE8ufwY7CaM5WUwCmvyUZacg+Zk8foM1MjiGzz/PPPu8suu8xdddVVBY0aKeH76aefYn1tlL488MADUUd21qvV73fu3DkqkRHZZLXVVvN7Ju81JXGAYsqy5nE6/ARszQ4Ou/BPmTIlKpHSOZ9c5PAL0QhrrLGG33Dt0E0CdLwmS0V2l0yvOkvnj2233dZdeOGFUeM+DAE6oyfJ4ScwQbafz2qGlh9WWGGFKBBFbbQ1nUpCUIq1uN9++/l7p3fv3pEBzfpUM7R8gFyayRHTpk3zvSY23nhj/zyP45b1c4/cfffd7q677or20i+++MI/ljOVfTbZZBN31FFHuT59+hQ0YTb1ERNvfv3111heW1hOQGDCsKApe6uUfMlFDr8QDWAZH5zqxx9/PFEGi8m9iucJi3yAvJN6PzNWmS2NERs3yP7M4afTMOu0ffv2kdMnsg/r0sqhWAtmrGIYJiUoRaYU5ZaVGUjOn7/maDj4b7/9tj8/rXY6zuaSTLjgPA8zqOHr6d69e2yvTcSLBXtI9qBQidPhpxSqVatWdRx+kmM655OLHH4hGmDNNdeMHlPraU523NjGi+SLzdfquEX+MIc/KRlUukmbLBZj2rIWIl9YBohJIh07dowCQEkIShlhzbayp/ly+K0EjrOUcg5bo3GWnTDazLBafUs0IPO2Zpgif7A/2ZqNIyiFZN/O87BpMI0ErQ+K9tBkI4dfiAbgkLXGJMg9mXcfNwQdbINlDqrG9OQbMpWdOnXy8r8kOPxkTU2KaNkqOfz5wxwWjNSwa3OcGVRUMI8++qhfo+yj5kwRNA1rUkW2oYcD3cRDJ9um8lA7z9ixOLDXgqKQRrwEyKiPBu2h+QHnGun+ddddF41jXGihhfzYUHjsscdq/pooIbWRgKGcH5vDntcaTTZy+IVoxJmyplPUSidhlvSnn37qDQFzqDbddNO4X5KIcUTO8ccfH6k8qElFFhonBB8uuOACL93GcEHit9Zaa8X6mkTtYQTjwIED3dChQ12PHj0iIzHODOrLL7/sbrvtNnfyySf7e8f6svD61PQ0nwEpmooSOA+dlTgcKuqybeQZ9wrrMezLImcqPyDbv/baa93EiRP9mW6Yrcc6YQJKre+XI444wm2++ebRJAEggArzzjtvpJIRyUQOvxCNYM3GqPGLs0NqKdkf0mltsvklnNuLg0XW0g7gOMFYtTGBZM5MJSPyA2uAQA9y6TCDigGLzD8uh98yvIyL/OWXXyKHX+QL6o3DMxWFB1l1eOSRR2r+ehh3Rk+BUnL+OeaYwwdSRT5YYIEFIlVUODY07OFQ655SNjKQZsFMOAGCUaYqpLRQTU+TjawwIZpgGJANIPoaJ3YA/Pjjj94I0CabX3jvrQEVDj8kweEnM8H6BDWaEmGvCYJSccw7x5mi2ak5VJbFxXhVWVT+wKGi8ak5/ASoevbsGe1fpqKrdSCf4Ch7Ov15LPBAbfTf//73mr4ekYz+UWTyv/3222jfsqk8cahQiqF5IGVSIKVp8pHDL0QjIFWips7qqOLM8iORtvpC6lCVmRJmGJDpJzOAZNpm4tYajFaa+Dz00ENRVkAOv8B5orRjnnnm8Rfj4YcfrvlFeeutt6KMfujwM+/aVAgiP+DgWybdsuvm8IeZy1pAEGz69On+MdMtcO5feOEFX2oAyKhFfhNNpkwiGGTnKeVI1hy32hC8L9Ww2vZQ7iWVnCQfOfxClJmd+vjjj32G6IEHHojtmiHtI+hAIx9ejzZZERoGZPlRoEyYMKHmFwaD+YorrnDHHntsNEWCchjLool8cvvtt/u50tdcc020X2EomvNda2UURjPGK2otUGYqvzCOr1+/fu7000/3aqkw+FNLWT/rcY899vB2Bq8BLGgaKg9EfmAiA8mm0OEPgz8E9WvVD+Xiiy/253oYqGXNPvjgg/4xzQTDMX0imcjhF6IMevXq5R3tL774whsCyO3igE0WQ4DZ0cj+NPNU4FDbuKY2bdoUGItxZVAJRoEyU4KGkuxbP/zwQ1SHTMZo/PjxNbs4/H5rfkUdalj/qjWaX2jISzmHOVaUd1jpCWvEauqrjcn4d9lll+geMecKZ0pjd/MHa8KC+SSaTLXXpUuXqLzDHO5q8t133/l+J5QVhOWsNA60qVVbbLFF1V+HaDly+IUoEzMMkSxTuxQHRHqtO6s2WWG0a9fOf0YyTYYKFUqtg1LhfHUbx7fZZpvpTco5lJxYB3wUStZzpJZBKTNYgUaCptJq37591KhNiPCcx9GJQykFzDu3mecKSOUXO9cJPJlqDmfflFL066l2UMpKTcLyQQiVrrJF04EcfiHKJBzdFIesn3Frd999d/S1NllhdOjQIXq82GKL+drPyZMn1+wCMYfXHH6yt9TAkp1YYokl9CblHLKnNvP8tddeixrk4fDb/OZaBqN4PahRQHuoMKiHpgEZ8nkLSt13331Vv0DslcX10eHvVdA0v6y66qpRR3x6OoSKU2C9VjsoNXXqVP+ZPlbLLLNM9LzZwChTbH8XyUYOvxBNkE4TWUXyN2nSpJoZq8a9997rpdLURZOlkjMlwtp9RvSREbCuuffff3/NLhAOFJJtewxbbbWV3iARyZJN+YEk1R4/99xzNblCzDWnXpsgVDghYMstt9Q7lHM4xy+66CJ35JFHeieGc97WKF/jkFcTSgdOOOEEd+edd0bZ2nvuucd/ZlRgOPNc5AsCTzj3O++8s9thhx2i5+k7QkPcap/znOk0tLQ93MbropiyqRIKmqYHOfxClAkbLF3QMQiQTdM4r1ZgCFiWiscyVEUxNEY74IADXNu2bSNDoFZBqTD7YM3Qtt56a71JosDhtwz7X//6V//4rrvuqskVwmmiKdpBBx0UZU/JTBEkE/kGJ4Z9kg/2MT737t3bf+/rr7/2wf1qgh2BIovzHRsDKT9KGOjTp09Vf7dIPjj83bp1iyZFAY8tKMV+Vi1ZP2vS1CfhHm4BKZAtmh7k8AtR7s3yl79E0mma6Nxxxx01u3bUb/3666/+MQ37lD0VxVi5ia0NxjbWIoNaLOfH+KDWL5T/iXxDw9NQ1m/GKqqlamdQQ954442oFtacOiHWXXfdaHwkGU1k9JZBDZ2bSoPK5cMPP/SP11lnHb+Hc08YWqOiPrbZZpuop1S1RkVbIJ8kFw0uDdQoNkKSwKlIB3L4hWgCZqhyMLMZ1qoxmqkJMI6p0VbNlKgPIu6WQa1FUAoD2coIrNGUsvuiGBwaIJtJxsoyqMyTrhZkp8L6aDNUYbvtttObJKLmjbZn0pAXJV8YlLJge6UJVYIkE1ir1qeH+m0cKiEMC6hb5p8mqMX7WqUg+EUnfqCE1OT8BE1NgcIeaokGkXzk8AvRBJCA2iZL1LMWo6UYx2IZVLK22267bdV/p0ivQYARSV0dHfvJTlV73jm/h1FSHPyffvqpf06ZKVEMklBqUnFsunbt6mabbbaqGasGY6NOOukkfx9gwFoAjNciBYowKNGjzwMQyCewvv322/uvme4QjnGsRkM0xqkyLYK6aByqMIMrBAH1ESNG+LI9swU5d7t37x6N5wtH5lUCgrGtWrXyj9dbb73o+bAMS7ZoupDDL0QTwKmxObkLLrigu/nmm6t+/djgTfZKfbSyp6I+OPRxoIjGL7nkkn60VLWMVQNDtV+/fr5bMNkH7o+lllpKb5IogP3y/PPPdwMGDPB9JsxYpQaVDunVgJIWZNM0X8ORs5Gmyu6L+mT9M2fO9GUfjMMjEAC33XZbxS8Ya5EmvOHvvuWWWyI7o2/fvnqThId1iHoORWk4fceCQgT6H3744YpeLVSkp512mjv22GOjXieU7yloml7k8AvRREzqB0ieyBxVE5O8kumnay/9A4QoBWvDau1w+KtlrBbz5JNPescKdtppJ705oiSmjgI6TwPOfli3XCkIPiHPBvZN+x1ItxU0FcUw4cRGoKHcm3POOaOGZMw7J3haSWycGs49k3coG7j99tv9c4yuJJAqBNBPwvpHIac3m5NR0dbM76abbqr4xWJtooQy2T5r1npOKGiaPuTwC9FEOIjJVgH19NXsNE29q9VFkw3Ycccdq/a7RDYw+R3OFQGARx55JHLGK43VR48dO9Z//vvf/y45vygLRpxa8LIaSqnp06dHygEk/FY6wEgrBU1FMTj71mfi5Zdf9jJqG4UWOuOVAMWeZWoJRmFPPPHEE74BG+icF/Wd62TZbXIEZ7wpQRg3agqmajFmzBj/mXIsOfzpQw6/EM2gZ8+e/jORz1tvvbVq1xAJF5l9PmOA0KhFiIZAHkqtNBCdx7ishkP15Zdf+vnRGMJk+G1CwNxzz603SDQ425mM6XnnnRfVgGLAUm9fDWUUmdr333/fS7Vht91207sjSrLBBhv4ciiy/fQ+4WtTSo0aNaqgAWRLA/kER4HsPtx4442RfFuzzUUxKPfo9QB05be1uOuuu/rPfF2Jcx5l1A033OCb8YbrnV4WjPoFlC+W9BLpQQ6/EM2AOuVFF13UZ0+Rjb700ktVM46pzXrooYe8M2WSQyHqAwfHMlUYCKwZjFUyA5V2qDBcuQesg68ZH0LUB31IKDP54IMP3EorrRQ9zxqtFKzL119/PdqrLTPF/YCyQIhSUKtMIGr//fd3iyyyiN/X9thjD/89mulZiUhLad26tRsyZIg74ogj/IQA7gXrtULG1noHCGGQXKLUA1Ds4ZADzSYZgws4/C0dc0rPKEpahg4dGjUIBAL71gBYQdN0IodfiGZAdH6//faLRvlcffXVVbmOZgSzidMYTYimjo9ceumlvdTvqaeeqtjFYz3ahAqCUnwwj9caWgpRH4waoxTK6lEtw4lTXqnmfchbDTpNT5s2LeobYPPVhSiG/bJYocSaMcUUmc9KQTCBgBfy6Ouvvz7Kpvbv319vjCgJ56vtX+EeZ7bhJ5984jv2twT7fwk6rbHGGv4xyYJrr73WP8ae6Ny5s96hFCKHX4gW1PLTyReo4yerVEloEjR69Gj/GGmhNWMTopwOu0sssUT0GEP2iiuuqNiFo+M5Tj5YpmGvvfbSTF7RKKzFjTfeOBr9hHIJKFmqRINJSqCQvAJ7pv2fGMq777673iFRNjjh9Huw5n2Md2Q0bqUnq1jDNRw6AqdClIJgFP1I7Ay2ng+oQqx535VXXtnsi0fA4K233opsTgt0PfbYY+6dd96JznlT9Il0oXdNiBaw9957u/nmm8833iFKXynIyJ544om+bABDFYmhEE1xqrp16xZJ/InWk+Fn3FQljGAbAUTk/9NPP3XzzjuvmviIJjWgso79BDYtOHXVVVe1uPSEIIJlaZFL46RBnz591PlclAXSZfbLU045xTv4++yzT9S8jzXaEueeTCmNeMOGp9RHg7L7ojEYZ8r5Tp8JejvZGW/BTEaRmqKpqdBbBfj/w2lUl19+uf/MvqqyvfQih1+IFrDAAgv4bBXN0Zj1XClJKs1RMC5WXXVVL/uzmdVCNMWpwlAdPHhw1LBs5MiRLb6AyLBtfjRjKXHQMDZUdyrKBWefDJIpRGyUI9kl+pW0VHl16qmnuoMOOsj3mTCjWEFTUS444GTdcfapracninVJJ7Df3FG8NDelQSV9Alj3NEi75JJL/PdoDmhKAiHqA1vzzDPP9PtZOG2EYJGVmNqaagqoBWxyBIFS+7/pT2Xle9TuzzPPPHpzUoocfiFaAM64ddulLvWaa66pSFMra5aCxAqnTRIq0VSQ49Gxn0ZUZDeB0WQ0iGoJlt0nQ/Xee+95523gwIF6g0STYIa01aOyVk2SesEFF7S4Gzr7Jeooq7mm5tQaWwlRTlM9q1/G2UE1cuCBB/qvKWVqjpqPUhOk0YCiBduB/diCpwSo1F9ClEOpDvkEOm3qyX333Rc1LW1Kdt/UVZtttln0/Pnnn+8/E0xA0SrSixx+IVoAm6DNQUVWdffdd7c4y3/vvff6zxi91LVq3qloKRiTQLbznHPOafb/Q6dqsvpATR8ZKrL7mmsumqOOsuZPGKf/+Mc//ONXXnklCio1heIgwcUXX+wl1DBo0CC9QaJJWG8J9kzUe5tuuqkv3YNLL73Ul6I0BUoEzDYgk0/j04suush/TXDKVC5CNAXWkXXPP/zww6PkkDnq5SparO8JPSRQEVifAKbwWPPKpZZaSm9OipHDL0QLwWjF2bcoa3PkVMaHH37opk6dGmX3ySpYrasQzYVO5VtvvbVfn3fccYd3qpoDGQD+Lz5Th0qH6QMOOEBvjGgWZJIwUMlY8Zh+KIBklWBSUyATO2LECN//hKypZfepRbVxVkKUC06PqUImTJjgs/zHHHOM/xpnn4BSufz444+R44QScK211vIqAWuEpnNeNCfASb3+ySef7EtArUmpJaB4Lhyr1xCsQwuYWlkJX5999tn+Mec8wQSRbuTwC1GBLP8OO+zgH+OcI43C6GwqbLA33nijf4xDhQRwxx131PsjWgQZqmHDhvnH9ITAwaIZVXNk0/x76vuojSarMGDAgGjEmhBNheAR6hNq7uk+bUoU6pttDFQ50KMCddX06dN9nwrWNz1QwJw0IZpK7969o/OY5no9e/Z0HTt2jEbxEqAvBxpHWnaf8ip6ADDn3AILpm4RoqmqEaZDPfHEE1HH/iOOOCLqrn/ccceV1QSVHhXswdixjE0FVC02oo/afWusKtKLHP4GePnll/1GTDSWBkNE0pBY1wc3xzbbbOM6dOjgDZcvv/yyGu+ZSCCM08F4tTFozXGonn/++ai++t133/XN1lTTJyoRkLLxkShR2rZt6x12DNimwv53xhlneAkgMv5DDz1Ub5BoEauttprPIAEBJHpOAI3N/vnPf5b1fzAW1Rqpsf9SwwqoWmyMlRBNBQmzlZ1gD9LA7KSTTvJfE/DkjG7snCf4b44TcmnsSdtDgf9v9tln15sjmgSd9K1mHzUUI5xZiwSQrKcOGf4xY8aU9f9hv1K2AgSnmBJlpVdHHnmk3p0MIIe/AeeLhldkXOkcjKTrtNNO89HdUkbIqFGjfBMiRmExwuKLL77w/x5Ztsg+ZE333Xff6DGO0S233NKkDBVryAyJpZdeOnLShGgpG220UVR/RwQf6TRBqXIdKgtEkTGgqSQce+yx6tgrKgqOj9Xb0xztsMMOazRDhRzVHKoVVljBXXbZZf4xoyI5s4VoCfTQsZK9m2++2cv8bTTZ008/7bv51weO2HXXXecdMewCFHtkY+2sp9SkV69eeoNEs+AsX3/99f1jyvTwW4BAPOV7wB5YX6NeVKSl4N8wbhdw/BdaaCG9QxlADn894LwhuSLSheFBEyEaqyA1LJYIUstK90rGZHCjIY8hUIDjprmq+YHIKpl+QF51wgkn+C7m5YAahNmpyFBZY2QAhKhklh+1EkYnmQH2KOpKyaia9Lk+qBOkphqFk80032STTdwuu+yiN0hUDIxP6popiUIpBzhHV155Zb3/hqz+FVdc4R0q1FAYvRZkJzjFmS1ES2AMGZlUyvWoj0aNwl5IJ39ziOrriM5ei4Il7FdhAS1mml944YX+Z4RoLsjwbVQe2XxGSTIi96yzzor2SHyT4nOechSC9oydDIOqTI6wKRSMoqRZn8gGcvhLwOaNw2+NVNikqd266qqr/PetQYbB5k8kl/FpYaaCaC7Gi3W/FNmHWieyqcwqJ1BEJqCx0g425L322ssrSRjbg3yqTZs2NXvNIh9Qg2edpzE2USAxdxfHqD5ZKtlTO/yRphI4oMGaDFVRaQhA0RUacKoYW2bZpgcffLDOz2PAEgywbumoVqy7P+qoPfbYQ2+SqAic6Sii2DNtrZEQwlknKdSvX7+S5zxBKBQCRx11lNt44429fYD6E4YMGeKWXHJJvUOiReDcMykHmErCBAnWJD6LjdFD2k+giX4+lpCiuTTK0ltvvTUaDcn+Sw8Ak/LzMxoJnR3k8JeATXi//far8/wWW2zhZ66HEVkcfcaocQCsvvrqBT9vUptya2hE+sFQZfM9+OCD/ddk+Bm3U6qJH5svGzEGwauvvuqfw/HXGD5RLZCPUkMKiyyyiC9RQpKKMVDcFZ3AJwc+Y3/IAJDp5zFN0ZQ5FZWGGlKcdM5X1HE0h2SdsU9yHoeBdtQAw4cP92oo4Fy+5ppr/GN6ANBBXYaqqBSsSRygEHpDkCEFHCb6Rbz//vvRON0QyksICtg5z2NlTkWl4Ey37vqU6TGSj4QT/SHatWvnn7/tttt8p30y+wTsbY2SmKTcb9KkSf4xQQDWO4EDBaSyhRz+EpD9KtUsDQOCaJp1aQWMYG4saq6LpVk2y5IsmsgXZE3J7hMAwGiliSMKETZTDAKcKYwFNlWrr2LDtkYpQlQD9jDKjKyen0Al+xZOPx2pJ06c6BUnyPpwmlivQPdzugHzXNeuXfXmiKpAw1tzhHDqaZhGozP2TLJVNEljvyTwZE36yPSTpQKUUYzjw8ESoloQwCdDT5CUgL412iVYz9l/+umne7uQ77M2ybZafTWPkVtLyi8qCeo9U6BQc0/fCZTGNPOjUS/qPNYgiinr3UNp3hprrOHXMuUqqKxYlzRM5XsiW8zye3NmM+V4k8dQRjbIpg00ZmPDp2GfzVk1cOoYY0XmopTci4YtZM4YfxHCTaqurekHo5SIKp8NJFcEk2xsClBzSvOVc845R135RU3AmaIBFQ4VahQ6UFvWCum/GaOmQkECiBEg9Ymo1bgpHCWrLeUzDj5N0syxZ41ytlK3z/cJsLOmLZglRDXAZOasDhuhEUhFRo3SxGDPnDJlij/zDTKozDanVFSISsM+SE1+ly5dCnwIAvWUmYZBJtbv119/7dUp5gZim6IO0DjodFGumq1uGjuDIMUn+loOZO/JEJSCuavMUDVnH7hhwLq4htgNR9SsPrjpiqViOInW2EWkmwMOOMB35LURPKFBwOZMPR+ZVdZouR3ThagEto+NGDHCy6HJBFCfb0YBBiuBAGR91KvSAd069wpRTajf33PPPX25HMFyDBqUd4ZNimA98j0aSCL7x2DVGhXVhiQPDSVx6O0sD8921qc14bWMK+uT5n82L12IakCTSPNLbG3SWNzOdQJTBElp7lf871CY6pxPHyRpyiEXGX7qqKkJLAcc91IZAjbw7t27++hZ2FCNEXx0wKSrMDLYkDfeeMPLEZF0F99coAx/PuAWYw3S4ZzPGAFE+DfYYANfU02ZiBBJUDCxn9EEjTW72GKL+eZnyKyFiAPW4YwZM7yByp5JfT77KOcpyikUKcyOVlZfxAFlTpQ7UReNZJoSKTL6rFmUe3TyRzJNUF9ZfREHKKPGjh3rg/nLLrusD+DTBJWAFH4R5zwKZSb3qO9JOin3fcuFw99SiJBR30LNdVi/DxgfNGshGECH9RCaYNC4j2Z+Jpktdvjh2WefrfJfIIQQQgghhBAib6hpXxkgc0FeWOzsA52EgQhvMdaZ3RppCCGEEEIIIYQQtUIOfyMw+od6QrL4pUAew0gM5lUXj2KxrD6ybSGEEEIIIYQQopbI4W8A6lmpjfjHP/5R8Dw1WmeeeWb09RFHHOFl/3fffXcduT/BAhq1CCGEEEIIIYQQtSQXXfqbm9k/99xz/Wx0mvIB7Q7ocEl31lNPPTX62d12282NGTPGz7ek8zWNWvi3NG556KGHNGpNCCGEEEIIIUTNUdO+EjCHcvDgwfVeNGao0yWYrpfGzJkz3cCBA93tt9/uxwfRmf/SSy+NGvOVQk37hBBCCCGEEEJUCzn8JaABHw58fcw222x+PFApfvjhB68CIMvfGHL4hRBCCCGEEEJUC0n6S9CSmb7zzDOP/xBCCCGEEEIIIeJETftEg/zyyy/ulFNO8Z+FSApalyKpaG2KJKJ1KZKI1qVIIr9k0PeRpD9G0iDp//777918883nRw7OO++8cb8cITxalyKpaG2KJKJ1KZKI1qVIIt9n0PdRhl8IIYQQQgghhMggcviFEEIIIYQQQogMoqZ9MfLOO+/4jv4Nje6Lm99++81/3myzzdxf//rXuF+OEB6tS5FUtDZFEtG6FElE61Ikkd9S5PusscYabuTIkY3+nBz+GFlwwQVd0pllllnckksu6T8LkRS0LkVS0doUSUTrUiQRrUuRRGbJoO+jpn1CCCGEEEIIIUQGUQ2/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHUtE/Uy4wZM9wVV1zhvvjiC7fxxhu7/v37J75bpcg2//73v921117rJkyY4JuprL/++m7PPfd0c845Z9wvTYiI//znP27fffd1ffr0cdttt52ujEhM5+kHH3zQPfnkk+6jjz5yRx11lFtnnXXiflkih/z666/uxhtvdM8884xflyuvvLLbZ5993CKLLBL3SxM5Y9q0ae766693F154YYM/9+ijj7pbb73Vr9ddd93Vde/e3aUJZfhFSe6991631lpr+cc9e/Z0F110kdtiiy3cL7/8oismYuHHH3906623njvwwAPd6NGjvbHA47XXXtt9+umneldEYhgyZIg3IN588824X4oQkbG6yiqruL59+7r333/fbbDBBm7xxRfX1RE154cffvDjqM855xx/fvfo0cO9/PLLbsUVV3RPPPGE3hFRE8aNG+f9mvbt27tRo0Y1+LPHHXec23HHHd2qq67qfaPtt9/enXzyyal6p5ThF3V499133Q477OCjrUOHDvXPkeFnMz7++OPd+eefr6smag7ZqOWXX96rTpZYYgn37LPPukMPPdQrUfbee2+fuRIibl588UU3YsSIuF+GEBHDhg1zRxxxhGvXrp175ZVX/FkuRFycccYZ3s4kIGrjqfv16+cVUSj2Pvjgg0yNQxPJZNFFF/Xz61daaaUGf44E01lnneWz+zj6sPDCC7tddtnFrbvuum6rrbZyaUBj+UQdWMQ333yze+utt9wKK6wQPb/tttv6zD/ZARwuIWoFEioCUNdcc02BITBx4kSfKfj999/dN9984+aff369KSJWKX/Xrl19JuDwww/3RsIxxxyjd0TExtVXX+33zo4dO7rHH3/czT333Ho3RKxQiseZPWnSpILnzz33XHf00Ue777//3s0zzzyxvT6RL5Zaaik3c+ZM99VXX5U800k0/fe//3Uff/xxgU1KwKBVq1bujTfecGlAkn5Rp0b6rrvucosttliBsw+dO3f2ixwptRC1hFKSM888s07UH8MBmSrGw88//6w3RcTK6aef7nbaaac6e6cQcYAhOnDgQDfffPO522+/Xc6+SATU6U+dOtU9//zzBc+//fbbXuIvZ1/Uktlmm63e76Ekpd8JgfwQ+plRYorCtDhwlVTk8Is6NS04TqUM1rZt2/rPNEwTopbQlK9NmzYlv0eUFQOCz0LE2fiHBlQHH3yw3gSRCAYPHuwzVMj5pcoTSWHAgAHu//7v/1zv3r0jZwnb85577nFXXnll3C9PiIhHHnnEf86CT6QaflEAtVPQunXrOleGLAG88847umoiUVmsvfbaSzV/IjZwqg444ADfqO8vf1EcXcTPZ5995h544AG/HinHowM1GdW55prL7bzzzqnrMC2yw5ZbbulOOukkd9ppp7kuXbp4FQpN+8imSh0lksQHGfKJZJmIAr788kv/GaOgmL///e/+M/VVQiQBxktRW0UHVSHignITmvmoGZpICjj77I2oo2i0S38TOvPTrX/TTTd1Z599dtwvUeSYU0891ZdAESy9+OKL3TLLLONrqYVIEl9myCeSwy8KwECAWWetK/5gYwY1/RFJgLp9xqIgAVTNn4iLl156yT311FPusMMO05sgEgNd0K37+XXXXef69+/vx5gSJKVmlSApWVUh4oCm0DSRvPzyy31J3rXXXutHQDOyT4ik8N8M+URy+EUBjJqAn376qc6V+de//uU/05VSiLi56KKL3Oabb56akSgie1CHihz1sssuk5RfJIpvv/3WfyZzGrLssst6NQoBUxr0ClFr6HberVs3d8opp/h6/ilTprg111zTPf300z4wJURSWDhDPpFq+EUBa6yxhv/8ySeflKwJBDZmIeIEw4AZvpp3LuKErNR7773nR0mFfPHFF/7zqFGjfFMqjNotttgiplcp8ogZoaV6SnTq1MmNGTMmkqsKUUuOPPJI70hRvw9LLrmkV0nxNdMkaIC61lpr6U0RifCJxo4dmwmfSBl+UQBjJhZccEEv9SMDEPLaa6/5z2RVhYgL1iaO1PDhw/UmiFhB5occ9f333y/4MIefLCtfS6Yqag1OPZSaEW3NplQzLeLqfL700ksXPLfAAgt41R68+OKLemNEIujVq5f/PH369DrfwydiPB89UdKAHH5Rx4Ddf//93TfffFNn1MRDDz3kO6jK4Rdx8frrr/sGVGT22WhDrrrqqthel8gnyE/JRhV/0IQKDjnkEP/1TjvtFPdLFTkDIxSn6u67764jR3311Vf9/rnddtvF9vpEfmGEbqlAlI3eLdURXYhq8fvvv9dJcBprr72269y5s+838e9//7sgu08QYPfdd/fBqjQgh1/U4dhjj3XLLbec76L622+/+eeuvvpqL6Emq/q3v/1NV03EktmnXn/llVf2Dv+wYcP8B92mt95669TMQhVCiGpDY75LL73UB+8JPFnzKZpMjhw50jft45wXotbQ4HTGjBnunHPOiZ775Zdf3JAhQ7yEOi0ZU5F+fvnlF79HosKrT4mHvcnPnXfeef5r9tJjjjnGl6WcccYZLi2ohl/UgY6TSK622WYbt8oqq/haQGSpt912m7L7Ihaee+45L61iY65vBB8KFCGEEH/OOx89erTvzj9u3Di3+OKLe8XJoEGD/IQTIeKAniaUPbEGSSbRWJKA/qqrruoefPBBJZVETTjppJN8L5PvvvsuqsVHjVc8srRdu3buzjvvdHvssYdfn9ihjOlj4gl7alqY5ff6dAwi9xDFev75592vv/7q1llnnWjmpBC1BukUzdEagux/qdEpQtQajNmJEye61VZbza244op6A0Ss/Pjjj34PJUvVoUOHqIZfiDhhfvnUqVPdzz//7FZaaSW3/PLL6w0RNWPixIlRvx2DBOeGG25Y8ucpjcInmnfeeV379u3dLLPM4tKEHH4hhBBCCCGEECKDqIZfCCGEEEIIIYTIIHL4hRBCCCGEEEKIDCKHXwghhBBCCCGEyCBy+IUQQgghhBBCiAwih18IIYQQQgghhMggcviFEEIIIYQQQogMIodfCCGEEEIIIYTIIHL4hRBCCCGEEEKIDCKHXwghhBBCCCGEyCBy+IUQQgghhBBCiAwih18IIYQQQgghhMggcviFEEIIIYQQQogMIodfCCGEEEIIIYTIIHL4hRBCCCGEEEKIDCKHXwghhBBCCCGEyCBy+IUQQgghhBBCiAwih18IIYQQQgghhMggcviFEEIIIYQQQogMIodfCCGEEEIIIYTIIHL4hRBCCCGEEEKIDCKHXwghhBBNYp999nF33nmn+/333xv92ZNOOsk9+eSTusJCCCFEDMjhF0IIIUSTePPNN92wYcPcd9991+jP7r///q5v377u0ksvbdLveP/99/WuCCGEEC1k1pb+B0IIIYRIJz///LObY445Cp6bOXOm++GHH9yiiy5a77/729/+5rp16+YWWGCBRn/HYost5gYOHOgGDRrklQFTpkxxjz76aIP/5rfffnMXXXSRO+SQQ9zpp5/uakW/fv3871x33XVr9juFEEKIaiKHXwghhMgpzzzzjDvxxBPd5ptvHj03YcIE9/rrr/vvLbPMMiX/3V//+tdG/+/77rvPvfrqq+7AAw/0H4899pibffbZXceOHd1ss83mllpqKbfQQgvV++9x9DfccENXK3755Rc3bdo0OftCCCEyhRx+IYQQIqfgeE+ePNk9++yz0XNnnnmm+/HHH93SSy9d77+bZZZZosfU5xMYWHbZZQt+hv/j1FNP9UoAnHz7HagDys2gt2rVytWKhx9+2PXs2bNmv08IIYSoBXL4hRBCiBw7/DDrrH+aA3/5y1/cvPPO66699lr34Ycflvx377zzjvvPf/7j5f/U8i+88MLuqaeeKnD6cez5f3D27Wtq/ueff/46/x+/Z4kllvC/u1ocdNBB7uKLL673d9x6663ugAMOqNrvF0IIIeJADr8QQgiRU8JMfTG9evVyX331lc/0zznnnAXfmzhxottggw3ccccd50477TT/XLEjXUr2T8b/888/d23bti14fuTIkW6HHXZwl1xyiasGDz30kP9b6nP2f/31Vy/n79SpU1V+vxBCCBEXcviFEEKInNJQRr1Nmzb+o75AAf82VAaU+pliCAKgKjjhhBMKnr/ssst8gKHSMDZwzJgxPnOPEqE+HnnkEde9e/eSr5kGgvQTQPGAomHNNdd0//d//+fGjh3bYGNDIYQQIgnI4RdCCCFyijm4p5xySvTcuHHjIqk/mXGy33369Gn2/x1CgIDnSwUKGmrg1xw+/fRTt/HGG7u33nrLf73vvvv6zv9k8ou57bbb/PdLcf755/v6fnoVoHQ477zz3NChQ30wQQghhEg6cviFEEKInGJOeZhxp2kfnfqhR48evlM+Y/TIkJfTnb/4/w6hjr9WMA7wtdde8xMIpk+f7gMApV4/vQgYFUgGv77a/t133z3qT0AAgJIGIYQQIg3I4RdCCCFyimWpi5v2GTjIZMXXW28917p1a3f88ce36Pfxe8iwh4oC6+hfjYw56gSmA/Tt27feYAPjAjfZZJN6+xlwDa666iq36667ukUWWcQ/169fv4q/ViGEEKIayOEXQgghcko5TjZd9nH4aXrXFEo50AQT2rVrV7KG/7///a+rNMjwf/nlF5/lrw8y+HvuuWe93x80aJDbZZdd3Morr+yOPvpo3+1/v/32a7DhoRBCCJEUqjf/RgghhBCZADk/HfZbGkxAPm81/OEHVMPhpwcBv2+zzTYr+X2a7z333HO+bKE+dtppJ9/Uj+z+Mccc45ZbbjnfsE8IIYRIA3L4hRBCiJxCB/pynmdc3bzzztvi34fD39TX0lKHv3379pEUv5jHH3/cde3atcFpBbDpppu6V1991V1++eX+byDjf/vtt1f89QohhBCVRpJ+IYQQIqdYVr24S38l6ulL/R9k1Our4ed7leTdd991b7/9tjvuuOPq/Rm68++2225l/X/U8g8YMMAHCAgiXHLJJb43gBBCCJFk5PALIYQQOcUy7sVd+h944IEW/9/1SfpL1fDTFI+Rd5WEUXqAnJ/mfd99911Bph9FAdMI6B/QENTs49wbbdu2dauuumpVFAlCCCFEpZGkXwghhMgpOMJzzDFHQT19hw4d3MUXX1wVh5+M+AUXXFCnhv+ZZ55xnTt3dpUEZ57O/DQcPPfcc+vI9mno16VLl0ZHDT711FNeBfD666/7gAVlAi+//LLba6+9Kvp6hRBCiGqgDL8QQgiRU8hWv/XWWwXPbbnllnV+7ptvvnEzZsxwSy21lHfQeYy0vSHIgBfX7G+00UYlf5YZ95988on797//7X/HTz/95J+fbbbZXHNZdNFF/WulfODggw92rVq1qtOdf8cdd2z0/2EcIWUIG2ywgfvhhx/ciiuu6K6++mq3++67N/u1CSGEELVilt+rMfhWCCGEEJnh559/9jJ/mtbRsR7uv/9+t8UWW9T7b+hkv/fee/v6/HL417/+5UaNGuUd9O+//95n5z///HM3zzzzuGpAQKKx7D5gJmkEnxBCiLQih18IIYQQZbPvvvu6JZZYwp188skN/tydd97p6+gbq5Ev5pVXXnG77rqrGzp0qOvRo4feGSGEEKIFyOEXQgghhBBCCCEyiJr2CSGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PALIYQQQgghhBAZRA6/EEIIIYQQQgiRQeTwCyGEEEIIIYQQGUQOvxBCCCGEEEIIkUHk8AshhBBCCCGEEBlEDr8QQgghhBBCCJFB5PDHyMCBA/2HEEIIIYQQQghRaWat+P8oyubll1/W1RJCCCGEEEIIURWU4RdCCCGEEEIIITKIHH4hhBBCCCGEECKDyOEXQgghhBBCCCEyiBx+IYQQQgghhBAig8jhF0IIIYQQQgghMogcfiGEEEIIIYQQIoPI4RdCCCGEEEIIITKIHH4hhBBCCCGEECKDyOEXQgghhBBCCCEyiBx+IYQQQgghhBAig8jhF0IIIYQQQgghMogcfiGEEEIIIYQQIoPMGvcLEEIkh99//909//zzbtKkSe7tt992rVq1cquuuqr7//bOAlyqan3jSwSkuzm0pCASCkqDSNqCfwOvgd11bUHBuiZ2ey0sEAUVBAkREQGRUJBGurtB/T/v8n7bfebUxJ4da72/5znP2RxgZs6eNWt9+X69evVShQsXDvrlEaIOHjyoJkyYoKZOnar279+vSpcurU455RTVrFkzlS8fY9gkeNatW6fGjh2rFixYoP78809Vr1491bVrV1WjRo2gXxoh+pz/9ddf1ejRo9WmTZtUgQIF1PHHH6/30SJFivAOkcA5dOiQGjNmjPrll1/0foq9E2u0Xbt26ogjjgj65UWSI/7CJ58EQtu2bfX3KVOm8B0ggTNv3jw1YMAA7UjFUr58eXXzzTerSy65hJstCYxPP/1U3XvvvWrr1q1Z/q5x48bq6aefVk2aNAnktRGya9cu9Z///Ee9/fbbOjDl5sgjj1R9+/ZV99xzjw6kEhIEy5Yt02f5jz/+mOXvihUrpu6++26e8yRQhg0bph599FG1evXqLH/XtGlTNXDgQHXiiScG8tqiDB3+AKHDT8LCyJEj1fXXX68OHDjg/AxG6Y4dO3SkVTjzzDPVk08+ySwA8RWsQRipMASEo446ShuocP4lbp0/f341aNAgbbAS4icwTvv166ez+kLRokW1o79z507nZ9WqVVPvvvuuatCgAd8g4iuff/65uummm9S+ffucn5UpU0b/2f2zLl26qFdffVWvX0L84vDhw+r+++9Xb775pvMzVO2VLVtWV6K4f/bII4+of/3rX3xzEoD1j4RYztChQ9WVV16pnX04TFdccYWaPXu2LqVCNuDFF19UGRkZ+t+OGDFCXXTRRVmyV4Skiz/++ENde+21jrMPA/WZZ55R8+fP12WpWKswYrF2YTDcdddd6o033uAbQnxj5cqVuu1JnP3WrVvrIOrixYvVwoUL1bhx49TJJ5+s/27VqlXq1FNP1euXED+d/auvvtpx7C+99FI1ffp0vQ5/++039dprr6mqVavqvxs/fry6+OKLMwUBCEknaH3COS/OPhJOqJZaunSprj7FOr3llltUoUKF9L+944471JAhQ/imJAAz/AHCDD8Jmu+//16de+652lFCthSOUocOHbL8uy1btqjLL7/cKfdHaSo2W/ZSkXSDgx0l0uC4445T77zzjqpQoUKWfzdr1ix1/vnnq+3bt+s/w4CFY0VIusv4sc7gNAEETNEahcy+G1ShPPvsszozBeBcffXVV6pixYp8g0hawbndp08fHTyFFg+cqk6dOmX5d6hEwTn/7bff6j/37NlT2wQ850m6eeihh9Rzzz3ntOfhzJcAVOw5j6TT5s2b9Z9RiXLaaafxDYoDZvhjwEaXXd9IPCDqBJEJGJqISBESZrDOcbjD2Ud59Icffpitsw9QUvXee++p5s2b6z9//PHHmcquCEkHyJKKs3/MMceoDz74IFtnH2BtYl2WKFFC/xnZgBUrVvCNIWkDTvwNN9zgOPuolHrwwQezOPsATtONN96o7rvvPv3nNWvWqMsuu0w7YYSkCzhG11xzjV5nOOcRMM3O2QfYO9966y3Vpk0b/WcEpFgtRdLNqFGjHGf/6KOPVp988km2zr6c89DykXMeeyqrpeKDDv//Dm2UO0EEomPHjlqdPFGgIomF+O9//1uLoXTu3FndeuutCT8OIX6t+dtvv90RP3viiSdUy5Ytc/0/UO91R10HDx6sli9f7svrJfaB0ufbbrtNX0OJH33P+J4bxx57rM6iSuYVDhgdKpIuYHhC6RygZB/9p3kB5+u8887T1zNnzlSvvPIK3yCStnMeDtH69eudMxsq53md83Dy5ZxHAAutU4SkA/Tmo4oP4HxHYimvcx5TT15++WXdy4+2E7T0IXFFcocO///KmtH/uW3bNpUM6GeGyAmi+j/99JN6/fXX1TfffKNLntGDQkjYQD/0xIkT9TVK+lHuFw9Q65e+KWy0MCZQ2UKI1yATKmJnUN+vUqVKXP+ve/fuuqwazJkzR/33v//lm0PSYqhiYoTsiwg0ZZfZzy7Tj/LV2rVr6z/DRkgmyUBIXnzxxRe6Hx+cccYZ6sILL4zrppUqVUo7VFjPsG/hkPGcJ+kAmjuSeEK7U82aNeP6f0iqXnfddfp67ty5er2S3KHD/79eegjuYAZpMqAUBWI9iIRinqmMjkBfH3r5kP0nJCzAicK6FEP1gQceSPjzAsEfANGfzz77LC2vk9gLglFojwIIRsGJT9SIqF69ur5+7LHHMin8EuIFcNolSYARUhCTjBdkURHEgvO/f//+uCoDCEmEPXv2OOc81iacqUR68THz/KqrrnIqUVBmTYiXYCQ5glIAPtjpp5+e0P9H2x5aAKRKFW1SJGfo8LuAmEkyILKECgG0A7jBn3GYSw8qIWEAqvsSUcUIM0TzEwWzemWW9MMPP6zXOSFejeCTPmcIScp1ons5HDIJcMEhI8QrEOCHXgTo1q2bNlYTpVWrVk7GdcKECdr4JcQrnn/+ebV27VrnvM6rTDo7MAq1UqVKjq2we/duvkHEE1AxIskmBEBhRyYqDgnF/scff1xfwwaF009yhg6/i2SUSDEyAuV4yCbFzixFlh9I6TQhQbNhwwanZ7RZs2YJR1QFOGLQqxDxPwr4ES/bTaTEGRH8nET68qJr1676C0CQ8vfff+ebRDwBwSQYrOghveeee5J+HOiowNgFqBBk2TTxAgT0oV4uuiaYXpLsOS/VJxD/4zlPvNQ/EXFzjItMdloJtNcQdAUfffSRHoNKsocOf4qIOqTMKXcjEVUqSJKwgP57ma0LQzWVcTswIurWrauvX3jhBbV3717PXiexEwjviEZE5cqVndaRZBExIAj3oYSakFSBTg80emQPhIBUsiCYJWXT6EOVNhZCUgFVpyjpB3feeacOTCULev8bNmyor1966SVm+UnK4Dx+6qmnnLZSCJmmAlr4sMYRMKVuWs7kz+XvSBxIb2jx4sWz/J38LDcxQCxQmRstYHQKvgjxki1btqihQ4fq6/bt26uTTjoppYwSNliU/GGzlsdO1UEjdoPsvozSu/baa1XBggVTWqONGjXSs6QxXgo9qBihFq8oECE5lUoD6PVg/0s1Kw+HH6roO3bs0I+NbBXnnpNUsvsySq9FixZ61G6qaxSVVhjhC1sWj3399dfzDSJJ8+WXX6ply5Y55zxa8FJZowi6nn322fqMx1mPCkERRbWBfHEG9Ojwp4hkS7Nz0GUcFPr7cwJlprG9VTAisMES4iUo5Zdee2SmpL8vFTCKEtUtKOtHlh+jqXJb74TkNkJKsvuI+mNWtBdrtF+/ftoIwH6Mx0cZNSHJgGCUZOF79Oih16wXaxTGKsqlZ82apY1h7KuEJAMccsnuX3LJJZ6IRqM9FeJocKRgR0CQGsFYQhIFe+Yzzzyjr0uWLKnV9r3YQ8855xzt8OPxUT0A3QpbyMimwjw7aJmnCBYsyE60DHOggYibZUeNGjWyzDhlhp94DcrtkT2Vnj4c2F5lkRDtR+k0DAuo+Z511lmePC6xi2+//VYtX75cX1955ZWqVq1anjwuxvlBQHXSpElq1KhRauDAgc6+TUgiwJCEQQluvfXWuEdF5gXmSKNCCnYE+lB79+7NN4YkJXg6YsQIp7rpzDPP9OycxwhenPWoIJgxY0bco3wJcQNxUmlz7t+/v6OynyrYi5FwQrsVgqaYUIHEAfkHOvwp0qBBA0cMLady/zp16uRaipGMSjohiYDRedJaghL8eOZFx8u5556r+6ZQ1o+JFIi0EpIoIgiF8j6ol6fSdxrLFVdcoR1+BL7gUEnfNCHxgv0TQlMAZff169f37Oahlx/7KPZPzE1fuXIlW09IwqCSaf369foaJfhenvOnnXaaFpaEXYsqgr59+7L1hCSMTC2Dwv5ll13m6Tl/3XXXaYf/wIED6v3332eldAwU7UuR4447TpfkQxkytgdl0aJF+vspp5yS6tMQkhLvvPOOI4TmdfYIG7eoACPyH1uxQkheILMvQmjIHHkdBEWGXzIJMFaphk4SBeWiUsmHzJTXoPxaePfddz1/fGI+r7/+uv5etmxZnd33ElSe/utf/3IEJnHWE5IIqAKVlihMiCpTpoynNxCjThs3bqyv4fBLWzX5Gzr8KYJ+5Ysuukgrl06fPj3T302ePFlvkix9IkEyZ84cfUADOObp6LFHn7SUDkoEl5B4ee+995xS6XQIPyKLII+7atUq9d133/HNIXGDtSlBU4hBtWnTJi3Vgq1bt9bXH3zwgc5SERIvCxYs0BMk5DxGIN5rYOtCrBIwKEUSxe2ES/DIS2CDYo2CNWvWqAkTJnj+HFGGDr8LETqR77Gg1K5du3Zq7NixmX4OcQj0iojglGT3R44cqUtKqlevnp53j5A4nSlxei644IK03DOs8S5duuhraAUgAEZIvKP4kD2VCL20SXkNhNHECJZpFYTEw9SpU7VgmThTXpahuhFjFX3S6EMlJF4QJBLOO++8tNw4tJ7IzPMvvvjC0akiJC/g6MPhFx2pZs2apeWmQUOqaNGi+lqCtORv6PArpX755Rc9k1wykxAge/jhh7MI8cFIhOBEbAYTmyCcHPRPYaOFWARGocAwGDx4cKZ/S4ifIHglfacQNPFKZCo3YxV90vgsEBIPiMJv3LhRX//f//1f2m4ahPp69eqlr0ePHq2dKkIScaZQsYfe5XSB9Sllrh9++CHfHBIXBw8edER5kZSCGHS6kGACJlQhqUVIPKCqTiZGuCtCvaZYsWKOcDSStKJpQejwa5CNhGOEkk8okcIxggEa2/9x//33q3vvvVcLl8SCuebo4z/++OP1Qh4+fLjup0pXJoCQePj666+dihXps08XGKOG3kEgGVtC8kIcmyJFimhhqHQixioMZAmEEZIb2D8lgAk9Htnj0gECCtJ7DQOZxiqJ95yXAGa6svtuPRRoAcVWFRCSG2ITYo9D/346kc8AtHpkagWhw69B3xzmQsZ+SVmIgKjpoEGDclTdr1Spki7hx9ink046ieuLBI5E/SEsiXmn6QS9fRJZRSWMF7NVidlgsoO0SMHZj91zvQb7smS/5LNBSG6gGgRVS8APPR6ZcgLdAAalSCLOVIkSJVSPHj3SetOg/C9VLhjDK60uhMQTNEVLCNZpOkG7ALRWAJKv5G+YfibEUDA+B7PNxZkqWLBg2p9TDGIYq9xoSV7ACEAPP0hnqbSAiisJSs2ePVtPByAkNyQwhFJ7ZDf9mPwjEyUYlCJ5sX37djVx4kR9feqpp+qxpunGHfj6/PPP0/58JNpAjwQtIH4FTVFlLYFTtGxD0JLQ4SfEWHAQS1uKbH7ppkmTJs58amanSF589tlnTnWUKJSnmzPOOCPL8xOSHWjtw7QdgDJUP4KmbmN1/vz5NFZJnkHTQ4cOZdnb0gkCUjjrZQ+VCSuEZIfYgmiH8iNoKiK9ApNPf8MMPyGGIs4MFPRbtmzpy3PCWBWjA1FVlvuRnNiwYYNWP5cKFL/0ThCQatiwob6mw0/yykyhDxRIZYgfuGeoUxiN5IbsYRCP9rOVVPqwFy9ezKAUyRFoS8gYXJzzMtYx3aB1D5pqsof+xaAUHX5CTAT98+ivk002XYqo2YGyQmHUqFG+PS+JFlgbcgj7lZmKdaggtMpyP5ITGD0GMN2kRYsWvt0oGKsYXSWvgcYqyaltD3o5cs6jv94v3AKrDJySnBgzZoxTaeq2Df1Anm/lypVq3rx5ynaY4SfEQNxj8WQUmV+g3E8yqHT4SU7I2qhWrVraZvLmhFslWJw6QmKdqR9++MHZQ/2euCPGKjKoCEwRkp2gpFSgpFv5PBZUDkoQjBlUktc5X758edWqVStfb1TPnj2d6y94ztPhJ8REZHOrWrWqFoHyGzFW0YO6dOlS35+fhN+Zmj59uuNM+VmBIhnUxo0bO0YzIdllpsSZ6t27t+83yP2cDJyS7JC9q2LFir5WoMSu0RUrVqjffvvN9+cn4Wbbtm1OOT+cbz8rUEBGRoZq3ry5vv6ClVJ0+Akx0Zn68ccfnQPZb2cqtnQLfbCEuMEoPilTdkfh/UTGVyEo9fvvvwfyGkj4g6ZwpqQX1E9q1arlBKWYnSKx7Ny50ynn7969u+8VKPK87gAZIbHnvEzh8bucP7bCddmyZda377GknxDD+Prrrx1nyu9yfqFu3br6C8icdUJiM1PlypULJDMVG2hwt8AQAmfq+++/D9SZcu/fKOlnUIq4+eabbxx1/qCCpghKNWjQQF+zUorEIrZf6dKlfZvCk1ul1GjLq/no8BNi6CYLZ8ovdf7sOOWUU/T3n376SVcdEAJ2797tlPl169bN9zI/AYZqzZo19bXthgDJzIQJE5zMlDuLGdQeChg4JW5kzypRooQ68cQTA7s5Uik1d+5ctXr16sBeBwkX+/fvVxMnTtTXXbp0Ufnz5w/kdaB9T4JSYy1PPtHhJ8Qg9u3b5zhTJ598cmCZKbeximqDcePGBfY6SLiAEXDgwIHAnSm0uoixOmPGDLV58+bAXgsJF7JfFS1a1NdRZ7E0atRI67AA241V8g/YPxGUknO+YMGCgd0e2UMBy/qJgAqpvXv3ZglcBoE8/5w5c/Q4YFuhw0+IQaCnD04/6Nq1a6CvBdUFZcqU0dd0+Im7FBUULlxYtWvXLtAbI58RBKUmTZoU6Gsh4QCZ/fHjx+vrjh07qqOOOirQoJQYq5gYgFYDQqDRs2fPnlA4U02aNNFjK4F8bghBaykoUKCA6tSpU6A3xP0Z+eZ/9oeN0OEnxCDEsUbEH8ZqkKBUG9kHAGcKJV7EbqB6Lpmp9u3bq0KFCgX6eiDGhpJY2w0B8g+o9ti+fXsogqZuYxWBCPnsELsRxxpnbNDnPIJSKNkGU6dOdQIRxF7cVZ1t2rRRxYsXD/T1YOxv2bJlle2VUnT4CTFokxWnBZssylGDRgxmVB3IGDZiL/PmzXP0HMRIDBJkHzp06OC0GkjfNrEXMVThyEjAMkjQUiB7OTOoBMg5j4BlqVKlAr8pspej1UDELom9LFiwQK1bt05fh2EPdSefJk+ebG3yiQ4/IYaAObhr164NjTMF2rZt6+gIsGSauB2Wzp07h+KGiCGwY8cOLTBJ7Eb2KWSFIHwaNGgpQABXjFWZwELsZPny5Wrp0qWhOufRmiU6AgxKEXclUljWaJf/vQ4kn1DFZSN0+AkxBFFEDZMzhXEsxx13nGOsErsRYxCquRkZGSoMuD8rLOu3m/Xr16v58+fr66D7Tt1IFQoEpxDYJfbidqjDkD0FqECRSQHYQxmUshuxRTEFB6Mbw5J8OuKII/T1t99+q2yEDj8hhmWmqlevHppN1m2s/vLLLxzPZzFbt25Vs2bNClXUH5QvX141bdrUakOAhDdo6t5DAQOndiPnPITyZNxYGJA9fc2aNWrx4sVBvxwS4Nhdad8M0x5apkwZdeyxx1q9h9LhJ8QAIJQzbdo0fQ0RH4lkhgEaqwSgt1MyP2HKnoqAoGgMbNu2LeiXQwJ2ptAXLZVJYaBOnTrOeD4Gpezl0KFDelqDlNGH9ZyX0cDEznMe6zSM53yH/61RnPNbtmxRtkGHnxADgBFw8ODBUG6yLVq0cESn2MdvL2IEQpkfIxvDhIwHRECColN28scffzjONAJAEHoKC3DsxFjFXg9xNGIfP//8s6OCH/RI01jq1aunKlas6IwHJnb370PTAYKjYQzs//XXX1YGpejwE2IAYqjmz59f9yqFCSihy2ui6JS9iBEIZemgx/HFgtck89ZtNASIUnPnznXG8QU96iw3Y9Vm0Snbce9NYTvnEZSS14TxfAigEXvP+RNOOCEUk6Jiz/nChQtbW9ZPh58QgwwBZNODnnmam7FK0Sk7QV/nsmXLQpmZAjACYAwAOvx24s5Kyn4VJtwl3DYaq+SfvQnZ9EqVKoXulojDj4knCKAR+0RPZYJE2AJSAEH91q1bO0ky28Ql6fATEnE2b97sKDfL+Kaw4c6YsQfVPsKcmYp18hCYQICC2AWykqBGjRqhmSDhpmzZsqpJkyb6mq1R9oFSfhkbGsagaezrYlm/fbjb4cJqi3b4X2uUOwlhC3T4CTHEUAVh65kSateu7RjRdPjtQ4w/VJ+IUm7YcAcimOW3C4hM/fjjj6E2VIHtolM2g/UpYmhhdfhxxsuEIO6h9p7zRYoUCZXoaU7ikt9aNpWHDj8hhjj8KFcKmxhadqJTmCawf//+oF8S8QmUzYkhgIAUdCbCCEbzlShRQl/TWLWL2bNnq71790bG4bdVdMpm5P3Oly+fM/M+jEgwAqPZeM7bmeFv1aqV1m4KIw0aNFAVKlSwsjWKDj8hhmyy6N8PmxhadsYqRafsYsmSJbq3L8yZKQBVdnH2YFzb1t9nM1EoRQW2i07ZjARNkTktWbKkCitSKQVnf+bMmUG/HOITK1eu1F9h30OPOOIIp30P+/7hw4eVLdDhJyTCbNy4US1evDj0m2ys6JS7DYGYTRT692NfHz5XixYtCvrlEJ8dfsy7D6MYmoAqLsnu0uG3h61bt6pffvkl9EHTWDuEffx2Bk3Dfs63/5/Dv2vXLj3q0hbo8BMSYdyOc9gd/tKlS6uGDRs6s6SJHYjRhzK6+vXrqzDjNqZZMm0HmGkvY+7Cvoe6X+Pq1avVqlWrgn45xCdnSiqOwu7wQ1yycePG+ppBKfscfrTFibhoWGnvmsJiU/KJDj8hBmyyKPNs1qyZCjsyEgVRVfb3mQ9mMcsaRdRfKjzCSt26dZ0MLx1+O5g1a5azF4VV9NSNu39bhAaJ2chehJa9sOr0uJEML7Qxdu7cGfTLIWkGwSg557E/oT0uzFSqVMkRl4SmlC3Q4Sckwkh0EkYAyj2j4vAjqwZjgJgN1MQxkzkKZX4AAQl5nfhsIWBBzCYq/fsCsmfSx0+H364qKWg4hFmnR5AqhD///JPVfBawfPlytW7dusjsoW5bFNVdtvTx0+EnJKJACG3p0qWR3GRti6zairtcLgoOvzvLi/6+BQsWBP1yiE8Of7169VT58uVDf7+hfg3HD3APNZ8NGzY488KjdM7LNBabSqZtJWpBU5kkAHbv3q1+/fVXZQN0+AmJKFHcZNHHDWEsQGPVfDCaCVStWlVVr15dRQEGpewBE0N++umnSO2hbmMVgq2bNm0K+uUQH/ZQ9/sedooWLer0cbtfPzG7AqVMmTKOTlPYOdHC1ig6/IRE3OEvUqSIHtUTFcShgiFgSymVrX19YuxFxVAF6O0rV66cvqaxajYYG3bw4MFIVaDEBqVsMVZtRfagggULRkKnRzjhhBOctq49e/YE/XJIGs95qeKAE50vXzTcyurVqzt6PbYkn6LxzhBCsiCbLJwplHlGzVjdu3evNgaImSxZskSPk3Ibf1EAffwSoICxLerYxDzc5cbujE/Yad68ubPn0+E3G3l/mzZtGon+fUH2UAT1bRp9ZhtoN5EqoyiInrrPebFF4fDbcM7T4Sckov37K1asiJyhClgybQdRLEWNfb34nK1cuTLol0PShIzjw7hIlKNGBfdUFluyUzaC/uJffvklckFTIDoTgJVS5uJ+b6O2Rlv975xHYgLtUaZDh5+QCBuqUdxkq1Wrpnu6AY1V8zNTmMsLhypKuD9TzKCaCTKPGMkXxT3UHTiFQ8jRZ2YCfQko3UcxaAoBzKOPPlpf0+E33xaFbkNU+vdtbY2iw09IhDdZlHWi1C9qSFUCNlkxaIhZiJGHTE9U+vqExo0ba20MQGPVTKDMjLai2GxkVBAHEKWo7gAwMQd3QDyKa1QCaTaNPrMN2XtatGjhTGaICvXr11elSpWyJvkULSuMEJJpk3XPZI5iZHX79u1q4cKFQb8ckoZRUtJyErXMFIDh0rJlS2si/zbidpKj6Ey5A2k2GKs2IsFGOCalS5dWUXX4IdrHEafm4S6Fj+Iemi9fPmeN2rCH0uEnJGK4xe6iuMnGllL98MMPgb4W4j1uJzmK5dLu1w2DZvPmzUG/HJImhx8TGWrWrBm5+4tWGVSi2GKs2sahQ4eclpMoBk1jXzcDp2ZOOYn6Od/6f7bomjVr1KpVq5TJ0OEnJGLMmTPHKY+LqsNfp04dZ/QZjVWzR0lFaWRkTkEpt2FDzHL4YahCsTnKa3T27Nlq3759Qb8c4iEI6st7GlWHH4E09PIDOvzmnvPIlKOkP4q0tqiPnw4/IREj6qWosaPP6EyZawjA2Y/SKCk3UEE/8sgj9TWDUmaxevVqtXbt2kjvoUD2UGSDOfrMLEyoksI5L6+dI07NtUUbNWqkihUrpqJIE1dbrOnnPB1+QiK6yVavXl1VrFhRRRWJCMPwFuObRJ8oj5JyA9VhGAOAwn1mYULQNPa1Q9GdmIPsOVWqVFEZGRkq6kEp6LpwxKk5HDhwQFcWRX0PLVCggGOLmp58osNPSISAor1sSlF2poCIogEaq2aOkor6GhVjde7cuVp4ipjl8B911FFOUCeKVKhQQY85BdxDzQGTFyTDjz0oqi0ngCNOzW05gdNvki26cOFCtWvXLmUqdPgJiRBLlixR27Zty+IwRxEY2jLGxfTIqq2lqFGO/LsdfmhmsGTaPIcfLSdw+qOMZKfg8MNRJNFn6dKlWgHdBGeKI07NxF31FvVzvnnz5vo79k+Tz3k6/IRECBNUUQX0TYnKtKgRE3OcqXr16kVylJQbtyHDNWpOy8mvv/5qhKHqdvg3bdrEkmkDz/mor1EE9WWNsjXKvHM+6i0nboff9EopOvyERAg5MIsXL65n80YdMQRQMn3w4MGgXw5JkT/++MOJkEfdUAVQmJaSaTr8ZoD3UVpOTFijbnVsrlEzkPexSJEiqkGDBsqUNYoRpyaXTNsCMuFii5qwh5YrV07VqlVLX9PhJ4SEKvKPA1QUxKOMtCWgF0yE3kh0gUGHDGps1DzKyO/BkmkzcGcZo94WBVAlJW0JbI0yy+Fv2rSp0/ZmSsm0CL2R6LJ8+XK1ZcsWYxx+d1AKnz1TW6M8yfCjv3Hs2LHqxhtv1D2PUA8vUaKEqlq1qmrTpo26+eab1ZQpU6tPm78AAHx2SURBVIy9iYT4ATZY9PCbYqjaVEplC+4MoykOv7tkGuPcSLQRp/joo49WZcuWVVGnYMGC6thjj9XX3EOjD8RBFyxYYNQeihGnAteoWVNOot5aKshnDdoZCGiYSEoOPxz4d955R5ccdevWTT377LM6er5q1SpdtoNRW1OnTlXPPPOMateunf7Qjx492rtXT4hFuA9KU6KqCA6ibBowOxV9pJwfI+3Qw28CbqObJdPRBqX88h6aEjR1r1FUSe3bty/ol0NSAO1taI2KbdeIMjjjcdYD7qHmnPPQYWrUqJEygRauz5qpQamkHf4dO3aoU089VV1zzTW6pOyRRx5Rn3zyiXb458+fr1asWKFHHMCIHz58uHrooYf0CJkzzzxTXX755erQoUPe/iaEWLLJYkSPO2IeZfC7iOFt6iZrE/IeohTVhJYTgPMNs3oBjdVos2zZMrVz506jsqduYxXVlhiXRaKLiVVS7t/F5JJp29YoKotMaDkBCFwggGGyLZqUw799+3bVqVMn1bp1a7V+/Xr12WefqTvvvFOdc845OvPYsGFDVaNGDZ3hwUF01llnqbvvvluX/a9bt05H+/r27asPJ0JIYg4/SlHRMmOaIYBy6Q0bNgT9ckgKpai//fabUZkpUKhQIXXMMcfoazr80cb9/pkSNI2tVjDVWLVtjUL9vFKlSsoU5EzYvHmzrgIm0WT//v06qStjTU2hQIECOlFh8jmflMOPXv1XXnlF3XvvvapYsWIJ/V+MaXr44YfVLbfcoh599NFknp4QK0tRxeE3yVCNNVZZ1h9d5syZ46ifm5SZcv8+nCYRbWQPRRDHBPVzAc5h5cqV9TX30Ggjzoape6jJDpUNYKSpJGtNXaO//vqrTmAo2x1+9OBfccUVKfcQo6cf5SCLFi1SYQHG6rZt21J6DOgWIFPp/oICOSGpABERtNGYuMliH5Dyb2anoouppaju7BT2cslukOg6/NhzpE3DFNwq0ySaoAIWXybuoaiSYmtU9DG1Ssq9h0JDA8F9ZbvD36NHD6287wWnnXZaKISd0E/0wAMP6OoDzGJE5H/SpEkJPw4i65hMgLnN8oX2BhMjRSQYQ9XETRYCb1IyTYc/+msUe2DFihWVSTA7ZUYpKjI3Ju6hbmMVDuOaNWuCfjkkCUwOmqKqBnoogEGp6CLnPGbXw8cxiRaGC/d5MpYvJyCOA7G+fv36qeeffz60Qn1XXnmlnjDw/fffa32Cq6++WnXv3l199913CT0OftfzzjtPXXDBBc7X448/rsqUKZO2107s2mQxbxlBJNOQjRZl4WHdJ0juiBFnojNVs2ZNZx+nsRpNUJkhe4uJa5R9/NFHnAxUvMmoRZOQIAaEJQ8ePBj0yyEpnvMQXTaJSpUq6YSFqee8Jw7/m2++qUqVKqVV+C+++GIdRUfpY+fOnXWf/7Bhw9RNN92k+vfvr8LGuHHj1GuvvaYGDBjgRB+hUQCn6pJLLom7HB/lH3v37lVDhw5V7733nvN11VVXpfk3IDY5/FijmLtsqiGALJwIv5HogFYmKUU1SbBPcE/GMNEQsAGTS1FBkyZNnJJpE7NTNq1RKIYXKVJEmXrOw66WahsSHTCjHhPYTN1D3fYLKrZNmybhicOPzAdGM3z77bfqv//9ry7PRWYbh85ll12me48xDgcq/WEbGYOsPMAkATcYObh06VI1YsSIuB5n8ODBoQxokOiDSDjmK5tY5ie41V5nz54d6GshiWNyKWqsIYCzDIYPiWbQFPaKzAQ3rWRaqr9QKUWiBYTQ5H0zfQ8FDJxGu7XU9DW6ceNGncgwiXxeLQJksuWwQVn8E088oerXr69efPFFnZHEAdu1a9dQGfN4nSjjRxlHRkZGpr874YQT9PfPP/88z8dBRnL48OG6nB9ihmgPQKaSEC9AJFzK30yNqtapU8eZ+BGmPYLEhxhvKEVFptFE3AaO2/Ah0cA95cS0UtTYwCkqDiE8RaID7Mh9+/YZ7UxhXLe0RnEPjR7u98ykkXxu3L+XaWvUE4cfB4u7/Ajj9pDVf+SRRzKVH6Pks3DhwioszJgxQ0dVs4v2y/zTeKKQ06ZNUyeeeKJua0AZCFoCUHodtmoGEk1MFuwT8uXL5/Qs0uGPHqaXosZ+9lgyHS0wfQeVGSY7U25jFe2FixcvDvrlkASwoUqKrVFmrFEkaODvmEjjxo21PWqiLZrfiwdB+fvZZ5+tM/wYs4fsfseOHdWZZ56ZKUs5ceJEdd9996mwgJINkJ2oXsmSJTP9m9yAbgG+MNYPbQ133nmnmj59ur4HMAwh+JQT+D+oNHADYTZ8EeJ2+LHBIjgls85No2nTpmrq1Kk604HJFmEKDpL4SlHhFJu6PosXL64NHbR6wRAw9fe0ITNl6nvnFnrD7xyGKUgkMWeqRIkSelqUqWsUwYzx48frANzmzZspah0R0M8u+6jJe2jhwoX1pDaIvOL3jcLvKQEKXxz+Vq1a6Wz+zTffrMfBdOjQQb3//vvO33/11VdaCR+ESYEbUX+QnWMhJX+JKInipnfq1Ek7Leeff776+OOP1V133aU++OCDHP/P77//rscBusF9vOWWWxL4TYjJoBIFIKAmwmimlvtJxRACZyaqFJvIkiVLnFJUBDdN63tzAwcKDj8MAZx1ppaGm8bkyZOda4yMNHWNoi0KyQKIosEOadeuXdAvicSJVA3B2Vi/fr2x981dUYvx161btw709ZD4WL16teMz1a5d29g9FNStW1c7/Ajs4/eO16EOitiW9LQ6/ACj9/CFKFCsEdSzZ0+1atUqFTbE0UeGKhbpwS9btmzCj4s+1nfeeUf98MMPauTIkdneE7eTE6tWygw/cY+2FFVUHIxVqlQx9uYgWCZgk8VoTBItZwpVTSavUbRujR49Whs+2NdlhA8Jf1BKAlJoOzEZaGigtRC/s8mfRZNAC4a0nEAHyuT3DWeEgKCpyb+rSfz444/WnPNt2rTR+m2oNEUyAwEAE0jY4X/sscd0CXqfPn2y7TOKUsZDMoqxJfVAVJillz9R4LRDtR/j/nbv3q3LQbMDkSNTe2FI6rh1IPB5C3ukMdXIP9pr8NmD6JTJv6tJ4L2SACoy4Ca/b25BH3w2TVR7Nw0EZqQX0/Q9VNpq4PAjkYBkholjXE0DbWwisog9xuQ1Wr58eZ2RRFCf53x0kLY97CfuPnfT9XrmzJmjBehNIOF37Prrr9eHJhx/lNzecccdTslx1GjZsqUeJ4gSzVgkq4r2hGQRYYucnH1CEhHyMVUV1R0sRB+/iWIpNhgCyCxiPzUZjJwVQ4ejz6IBHAv0CpsseupG9lC0Iy5YsCDol0PiwH3eyftnMjzno7tGUSFlusZYgwYN9JhT02zRhB1+KDAju//RRx/pEg/07z/11FPa+b/tttv0zxBRjwJwxk855RTdi4JeejcSxDj99NOTfnwEEvr27Zvy6yT2IpsNIuKIjJuOBDVQjop2BhJuoMmCXjdbDNWiRYs6Qmh0+KOB+32yYY26A8Nco9FA3idUuFWrVk3ZskZR0r9p06agXw7JA1SfSLWpDXtogQIFdBWDaaP5UqrJQAnnWWedpUXpoErftm1b9dxzz2nnH6JzEI0Ju/OPqQHI2Lz33nuZ+veHDRumunXrpn8nAYr9Q4YMySKogk1Lev4FZBTwGAMHDvThtyCml0ubnt0X3Bk4+d1JeFm4cKEWCAO2iCyKwQMjPeznG/nHmcI5L0acyUBQS6oKTcpO2bBGsbdEqS02WdxOI8/58IMRnyLMa4PDD/71r3+pBx98UD300EPKFDxrwkD5wxlnnKEdZ/SPQYDr5Zdf1mWemEs/ZcqUUI43gBDa/fffr6cMDB8+XEexkJVHJuf111/P9G/vvfdeddNNN+k2BmHDhg06IoseDwj1wQCGo3/uueeqd999V1WuXDmA34qYACLfCCbZtMm6f08aq+HHtuyp+/eE9svKlSuDfjkkD8ShgPASKhRNB4ENCb5xDw0/EAaDQ2XTHuoODrMKJfy4gzK2rNE+ffqoK664IlutuqiSFtUF9Heceuqp2gFGDzLK5t944w39IR87dqwKGxDWe+mll9STTz6pzjvvPG0YoDUhdtRBr169dG9H7969M434QQQIpViIBl177bW6AmDUqFHWfDBI+jdZW7Kn+DxJkIzGavgRYw0BUmiW2IC72oZrNNygAkP2UVv2UPcaRQICCvAkvCDJJJVCttiMaKfFxAxAhz/8yB4K305a2kj0SLvCEhQd4SgjSgLxHJSbhREZK5gb6OfPrqf/rrvu0l+EpMvhR6WMTcbqunXr6ExFAHF4sT4xjtQGGjZsqMUJoYAOYzUVnReSXjAOWGZH2+JMuR1+9N5CrR+j3kg4sbFKSn5XiGPT4Q8/8h5BsA/97cSSDD/K8mHoJPKF3g8smKeffjqpufaE2Ozwo2UEFSS2GatudW0SPtC7LyrgNhmq0K5BpRegsRpubCxFBWyNig6yh0CU16YWUKm4QUUsWmNJOIEP98svv1i3h5pIwg4/MtmI8CTyhb65Hj166N52ZO4IIXljYykqYMl0dGZHQ6XfJlFJQQwffEbDqE1Dsgr2YaSiLbiDxAxKhRvbBPsEt/PINRoNwT7bbFFlu8N/wQUX6O/oc4eCPebU4wtZD4D+DvmZ+ws9Oy1atDBqxAEh6QKZbdsE+wT3oSKjYEj4cBtpthkC8pnctWuXWr58edAvh+SAbYJ9AhxHzjoPPxg9i/HNtp/zdPijUSVlW2Bf2d7Djw/pRRddpN5++23nZ1Dg79mzp/rmm29Uly5dsv1/+Dv8H/w7Qkju2CjYJ5QuXVpnqNB/S4c/vIiRhhFgtWrVUjYRm52yRbAwStgq2Oc2zidOnKgdSijBQ1iThAtbW05AiRIl9L6J9UmHP/xrFJPYKNhnoUo/xti5GT16tLruuutydPbBySefrJ1+qhoTkjc2O/zu35kOf3gRIw3vFUqmbQI9/BCkBTRWw4mtgn1C48aNncAHhPtI+LBVsC/2d8Z9kEkFJLyCfRCrJdElKSstNpuBD2pevUcoUcbhS4efkPg3WdsE+2KNVbfRTsIDevrQw2+roYrxRBTuCze2O1PuyS7uADIJ3xqFWB9G0tqGfC43bdpEfa+QCvZJsNDGPdQ0PEnLdOvWTb3wwgs5ZuPQ53j++edrVWc4MISQ3LG5FDXWWBWFWBIeoM4PY8BmQ0D6GfFZxfgzEs491DbBPgG2FrSTAPfQcGL7Oc9pEuGGgn1m4Ul9BkT5zjnnHHXCCSeovn37ajE/ZCXRN4YI5tChQ/XoDYj2dezY0YunJMRYbBbsE9wGEIyidu3aBfp6SGZsz566g1J79+7Vwn1HH3100C+JuLBVsE9A1SUqpaCxxNaocAr2YQ59bIDbJvB7Y52iShhrlBpf4YLnvFl41pDx2muv6VL/wYMHq3feeSfL35944onq008/VUceeaRXT0mIkdjevw8qVKigSxwxn5fZqfAhZX4Q7KtevbqykdgqFDr84cF2wT73GoXDv3DhQl1hiVYUEg7mz5/vXNvq8ENIsnbt2lq4j0Gp8EHBPrPwTGkJUbq77rpL99zC+b/66qvVhRdeqG677TYt6vf999+rSpUqefV0hBgLHf7MRhANgfAhQRiUStsm2Cegh18C2OyRDhcrV660WrBPkGAH2m9Ec4OEA3cg28aWk1i9Hgb2w4eca1ifFOyLPp5LLqKUv3///ll+Pm3aNF1aV7ZsWa+fkhAjN9mMjAwrBfvcDj8me3CsVLhwOw9irNmIjCmCngGN1XBh87gzN+7PJwKnNt+LsCF7BnQWqlatqmw+5z///HPd9gvxvvLlywf9kohSWpdGKvlsrpIyCd9SMzho+vTpo8vKCCF5903ZbpxJhp9jpcIFAjD79+9XtmemYrNTHCsVHqQqCNUnGCdlKyiXFv0CVqGEC3GmsIfkNeXKZNztDKzmC9c5j2k8NrecmIZnDv/YsWPVGWecoQX70K/funVr56tVq1baeZk4caIaNWqUV09JiHFs3brVEeyzfZPlWKlw4s5m25zhd2c+8Lldu3Zt0C+HxKxR6AqhT9hW0HLCkunwcfDgQa2rABg0/ecMYaVU+AJSwPZz3hQ8KelHSWOvXr2cMU2IVsqX8Oeff6qaNWs6s4sJIbkL+di+yaKloXTp0roXl5H/8CBGGXr6UNJuM7El0zaX5oY1e2o7uAfTp0/XZwtsNPbiBs+SJUu00w9sX6No861SpYoOmPKcDw/yXmC/qF+/ftAvh4Qlww/1fSg1T506VZeAvPrqq+qSSy7Rh4t83XPPPeqjjz6yfnMjJDeYPc06VgrQEAifMwUjwHbV71iHnwQP+oAx3QPYnj11V0qhDQdztUnwuPcK2x1+wCqU8J7zCOrbfs6bQj6vDtgrrrhCl/JDyOi8885TX331ldqyZYvzb+68804t5ic9IYSQnB1+RL0xls52xFhdtGiR0zdOggN96m6FftvBWMJatWrpa5ajhgOWombGLbjFNRquNQpHiuM8/znnly9frnbt2hXwu0N4zpuJJw5/tWrV1LJly5w/o2cOI/nuu+8+52cFChTQvcmTJ0/24ikJMRIK+WSGY6XCBZSU0a8OmJn6G2anwgXHnWUGGbqCBQvqa1ahhGuNokoKtrHtuPV6GJQKHlRIScKW57w5eOLwn3322eqdd95R7dq1UxdccIGO0t1+++3qww8/1Fn9N998U5166qnaUNy9e7cXT0mIcbhLLpk9/Rsq+IYLt8PANZp5jSKg7a5qI8EGTVEhxRFffydbRDuJSv3B4546Q2dKZbkPdPiDh0FTM/HE4YcY3wcffKDLbocPH66z/Tho33//ff112WWXaRV/jMfp3r27F09JiHHg8yPClzQE/gbl0qKyzexUuMql6fD/DbNT4YItJzlXSuHzCwFlEhyrVq1SO3bs0NfcQ/8GYqcQ6AU854OH57yZeDaWDyP5UO6JjaxLly76Zz169NAR5SFDhqihQ4eqmTNnWj0ih5DcoGBfVjBHm8J94VujaOMqVapU0C8nFFC4Lzzs3btXz48GDJr+g9wL9Ef//vvvAb07BFBjIneBXmb4g0feA3cghkQfTxx+jHvp1KmTGjFiRBY1x7p166obbrhBC/kVLlzYi6cjxOhNFp8TzI8mmTOo2GcOHTrE2xIgLEXNCqrZKlWqpK9prAbLb7/95mSwmT3NXriPZf3BwnLp7KFAb3jgOW8mnjj8b731lpo0aZLO4BNCUttk0W955JFH8jbGGAIHDhzQ84tJMCA7uGLFCn1NZyozrEIJX/bU3WphOw0bNnTOFAalwrFG0a5WrFixgF9NeJDPK9oaEbgjwQCdNeiwAZ7zZuGJw9+zZ0+d2cfovdx444031MSJE714SkKMAlkpRlWzh9mpcMBS1LyNVejX7Nmzx7f3hGRG+n+LFCmitYWIcqrGZPwbe6SDhRoT2UPhvnCwYMECLSwJ2BZlFp44/Cjnf++999TgwYPVzp07cxzzgL9fuHChF09JiFGsXLnSmWDBqKrK0hZUqFAhfc3sVHCwFDVvh9+twE38R+499lDof5CsaxQl/WLQE3/Ztm2bWr16tb6mM5WZ2rVrO22/DEoFByfxmIsnJ+KDDz6orrvuOvXSSy+pKlWq6H5G91eFChW0+IOUgxJCMkPBvpzJnz+/M1aKhkDwzhTE+jIyMgJ8JeGDwn3B88cff2idD8Cgac6VUhiPvG7dOp/fHQKofp4zaDmhcF941miJEiVU9erVg345xEM8cfh79+6tM/iIGkPACH1J7i8snJIlS3rxVIQYvclCrRb9liR7YxUOP8dKBZ89xTol/+CeWsCgVDCg73Tfvn36mtnTrDAoFTzUmIhvjSJwhwAeCbblhOe8WXji8Ddv3lx17dpVbdy4UR+6ENaK/Vq7dq06/vjjvXg6QozdZFHWxtGVOZejoj+alUL+g+kIIqREZyorHCsVPGw5yR3355ZK/cGu0bJly6qKFSsG9CrCf84jcEeBXv9xCybynDcPz5rcBg0apIVycgKifo8//rhq3769V09JiJHZU5IVt+I2jVX/Wbx4sTp48KC+5hrNHjGQoFODiRIkmD0UvfvSAkT+AZWWUIYH1EIJBrnv2CuYPc0KhfuCBUEWObt4zptHwg7/mDFj1O+//57l561atcrz/3bo0EE1atTI+fPUqVPV0qVLE30JhBjFli1bdAUMYFQ1e9yjCmms+g81JuJvO0E1BMVpg1ujUKMX8S+SGY6PDI79+/frwCmgM5U99evX15o9gK1R/sNJPGaTsMPfuXNnNWDAAK02mgr4MH/66aeqTp06KT0OIVFHhKYADYHsgUo/1PoBVdD9R+55wYIFnfeBZIbZqWDhWNP4K6UQYEagmfjHokWLdMk0YGA/50pgqc5hYN9/5J4XKFBA1atXL4BXQELl8MPgu/POO1XPnj3V119/nfATQojj1VdfVddee6164IEHEv7/hJgGs6fxQQXf4NcojDEYAyQrCF5zrFQwQD8IX4BB05xx3xsGTv2F53zi5zzHR/qL7Alw9uHrEbNIqocfRt/rr7+urrrqKtW0aVN1//33q3HjxqlVq1ZlUdDeu3evXkTDhg1TN998sxYlGzFihBo5ciTFyQhxbbLlypXTIyxJ7obApk2b9FQQ4g8wutzKvSR70HIiLWvMTvkLS1ET10LhGg1mjSIoyMrWvM/57du3a5+C+APPefNJWrQPhh/Es9q1a6cee+wxdcopp+iZjei/KV68uCpdurSOEEFxHB/gPn36qKFDh2qn/8svv3RGGBFiOxTyiQ+WTAfD6tWr1Y4dO/Q1Hf74HCp8pjlWyj+o0B8fCChjdDJghj+4KinRoyFZYVAqGNatW6e2bt2qr9lyYiYpqfTDsX/++ee1siNU+iHchx6c3bt36+gcxItKliypTjvtNPXKK6+oZcuWqZtuukmr6BJCMgv5cJPNHbezyeyUfzB7Gj/yGcZYKY6P9H+NVq5cWVdKkZyhcJ//oPKVGhPx4Z7/znPePxg0NR9PPO9q1aqpe++9V02bNk07+yi3hZI/ZmbD8f/888/VFVdcwRJ+QmKAmrdkAunw5w6qhqpWraqvaQj4Bw2B+HF/hqky7R9sOUl8jSJRg8AUST8rV67UtrH7/pPsKVasGMdHBgAD++bjeaodpUooG0N5f5EiRbx+eEKM3WRZLp03FO4Lbo3WrFlTV3WR3MdKSbkuS6b9AYkFGe9LZypv5B4h67xgwYI0vzsEULAvMcQW4h7q/xpFAheV2cQ8WFtPSIBIFhBCPhC0JPEZq8uXL3cyJsSfNcqAVN7gc4w58IBVKP7w22+/OWreXKN54w6K0KHyB9kLUKouY+dI3mt0zZo1Tl85SS9sOTGfhB1+fABjlfgJIaltsg0bNqSQT4LG6vz587ns0gxasiDaF3vvSc7IfaIz5Q/MniZGrVq1nOpLtp34u0ahzg8ha5I7POf9ZdeuXY7mDIOm5pKww//FF19oFc1rrrlGTZgwgUrEhCQJhXwShz3S/sKWk+TXqHs2PEn/GoUjVaNGDd7qPIBoMkumg1mjdKbig+e8v7iTJwzsm0vCDv+VV16p5syZo84880z14YcfqqZNm+qfffPNN+rw4cPpeZWEGIgIWwIaAvGRkZHh9Jcxg5p+3PfYPS6J5AzHRwYn2McJQPEh5w0MfY6PTC+bN2/WI88Anan4gA6YTNvgOZ9+KMxrB0n18OfPn1917dpVvfrqq9r579u3rxo+fLh2/i+//HL19ddf0/knJA9Yipo46IEUY5U90ulH7nGZMmVUpUqVfHjG6OMO3tFYTS9wVkV4jkHT+JHgHVT6MS6ZpA9mT5M752WN8pxPP3JOIZmCpAoxk5RF+6BI3KVLF/XSSy/pfrALLrhAjRw5Uh133HHq0ksvVaNHj1aHDh3y5tUSYuAmSyGfxBBDAGJd3FvSixhbyEzJbGSSOwiOcHykP8BZldFyzJ7GD4NS/uHWSeAaTXyNLl68mOMjfayS4jlvLp6q9KOcrmPHjuqFF15Qc+fOVRdffLF2+Js1a6av0f9/8OBBL5+SkMhCIZ/UDAHsJZglTdLDgQMH1KJFizLdcxIfrELxB2pMJAeU4mV8JIX7/FmjKFMvX758mp/NHCQ4giqehQsXBv1yjAVJEyRPAANSZpO2sXxw/tu3b6+effZZfaCg1B99/nD6CSEU8kkWdy85jdX0AWdfdFloCCTn8CMDLTodJH1BUzivHHcWP4UKFVJ169bV12w78a9KisQPq1D8AUkTScQysG82+f14EpSItGnTRn8RQijkkwqYc16wYEF9SNFYTR/UmEgeMe4xHx495i1btvTsfSH/IJ9/OK9wYkliaxSZPQRNsU5Zyus9aDeRKjQ6/IlRu3ZtVbhwYX0P2cefPtz3lsK8ZpO2DD8hJD4hH0ZVE6NAgQJONo8Z/vQ7U3CkMD+axA/HSvkDs6epr9EtW7aoDRs2ePaekH9AsA/jdwHP+cRA1U6jRo30NR3+9CH3FkkUJFOIudDhJyQAmD31xliFU4rsFEnfGkVwBZNZSPxUr15dFS9e3FmjxHvgpG7atElf05lKHI6PTD/uzz4z/Ikjn2vcRwmckPSs0fr162unn5hLvnQIPf38889qwoQJes44ISR3IR98keQMgR07dqjVq1fz9nkMjCtmT5OH4yPTD4OmqeEOkjCDmh7kvhYpUkTVqlUrTc9iLlJivnfvXrVixYqgX45xIFkitiiDpubjqcP/5Zdf6pKQ5s2b61F9NWvWVE2bNlVDhw718mkIMWoMCkkcZqfSy6pVq9Tu3bv1NddoamsUfdIifkjSkz2V0l8SP6VLl+b4yDTjdqYgZE0Sw332sH3Pe9auXau2bdumr1mBYj6e7UDI5p999tmqa9eu6pVXXlGDBw9WvXv31uM0LrjgAn29a9cur56OkMhCIZ/UYXYqvVDIJ3XEgNq/fz/HR6ZxjVapUkWVLVs2HU9hTQaVGX7vwTg50eph0DQ50E4mgRK2RnkPx5rahWcO/yeffKJ69Oih3nzzTXXFFVeoe+65R40aNUqtWbNG3XvvvWr8+PHqwgsv9OrpCIksCILBGAA0BJKjWLFiTokkjVXvkXuK0vSGDRum4RnMx50xobHqPSxFTR05f1AuzYSMtyxfvlyXogNmT5MDrRAiJMdz3nvc95S2qPl45vCjhP+BBx7I8nNE3gcNGqTGjh2rS/7nzJmjwsjcuXNV//79Vbdu3dTAgQOdcla/H4OYD4V8vEGMKBoC3iP3FKORihYtmoZnMJ969erpiRKAa9Rb9uzZo5YtW6av6UwlD4NS6YPOlDfwnE+/LQqR2RIlSqTxmYhRDn+zZs3Uscceq6+zU9Ns166d6tmzp3aKwwYqEVq1aqUqV66sbr75ZvX999+r1q1bq82bN/v6GMQOpBcNM2Yp5JO6IYAqIulDI97A7GnqQPEYTr/7fhLvxp3JdA5mppKHWijpQz7zGC8nY2RJ4sjne+PGjfqLeG+LMmhqB56riKB3Hxmhs846S82cOTPT3yEQgH67sIlTnXvuuVpnAJUI3bt3VyNGjFDr169XV155pW+PQewzBCA0BWOAJIfb0KdD5R2Yyw0xH0BDwLvsFMdHegcV+r0hIyNDlSpVSl9zD03PGkVJOoL7JDlYhZIeMOFo5cqV+ppBUzvw3OFHOTvK+OHwnnDCCeryyy/Xjv99992nD5bOnTurMIHSe4ioXX311Zn6g/v27as+/fRTNWPGDF8eg9gBgl7MnnorOAVYMu0dIjQF6PCnhty/rVu3qnXr1qX4aESQPbR48eK6HJUkB8dHpg+ONfUGCvSmB57z9uGZw3/HHXeol19+WR1//PFasX/q1KnqnXfe0WXur7/+uh7R99577+kDJixAOA0OOYwGtCS4Oemkk/T3d999N+2PQewB4kgU8vGGChUqqHLlyulrOvzeweypd9BYTf9YU4478yYoBTHZgwcPevDuEJSeb9q0Sd8IZk9TA2c8WmUBz3nvoJaUfXjm8JcpU0Z99dVX+hplyieeeKJW5YeIHQIBKB956aWXVJhA5cH27dtVjRo1shgNderU0d+nTZuW9scg9kBnyjsQPORYqfSt0fLly+ugCkkeOvzec/jwYd3DH3t/SWoOP5z9xYsX8zZ6AM95b5HPOdtOvF+jpUuXDl2rNQm5w9+pUyf1xRdfaCX+7Ljlllt0xn/p0qUqLKD3HlSqVCnL35UsWdLJyKb7McLK6tWr1U033aS6du2qpkyZEvTLMQI5sBAcopCPd4YADFXMOyepw1JU78AZICXnNFa9Aer88lmnw586FO7zHs439xYJ7MN/wIQOkjru1tIwVV6T9JHfqwdCv36vXr20WN/dd9+tlepjxzxAkRzZbsl8B40o6GPWZyyFChXS3/OaTZvqY6CnGxUCbo466ij9FTQYKfXhhx/qa4xTlBYF4s24M6yP7CZakPiB8KG01iDr17RpU96+FIAWyZIlS5x7y/WZOjCoII6Ezz7vp3fK0oBrNHVwFsHeOHDggL63ffr08eBR7UamUaEUHRlUfu69OechfApHtWXLlh68S/aCah608Mj5xPUZbeJta/PM4QdvvfWWzgZDxO6pp55SZ5xxhurYsaOqWrWqXlwQ8rv11ltVFG6W9LLFO5sy2ceA3gEOBDcIlqAiIgxAgBGq3WhdEOVukrohACOL9zN13CXnGIWJMnSSmpAPgicA+zbXaOpIhh97/aJFi7SgK0keaZFD6yC0c7hGUwfnEQKms2bN4v30ACRIRKGf6zN13Oc69MFYgp4aqIgU/wT3kms0+tNWfHf4Ia4xefJk9eCDD6oXXnhBl/DjC6Bk5LbbblMtWrRQYaFixYr6e3YlQtAcACIKlq7HQO9/bKlnWDL84Nhjj1UTJ07UZZTcZFMD1SAi5IMINe9n6uDzh5FHyEyjvYb3NDXwWRfatm3L++kB0LN55ZVXHLX+evXqefGw1oLACcB9RNUgSZ3jjjtOO/yo7kFWmiW+yQNbUFo9Ye/yTEodtMwiULp7927dasp7mhpIjgg85+3BU4cfIOL++OOP6yw/jMfly5frcneo9YdtxJOU/8rm7GbNmjX6e6zyvtePgcoAmYMbRvCe4X2EIYCSP86TTR4RmpJACtWlUwf3ECVpqEBBdpr3NDUk+IjPOVqveD+9HR+JNcrWqOSRkl5AhX5v1+gHH3ygdu7cqR0qJCJIcqCaFetU7CfuoamDe4h7ieoefP55T1ND9tCCBQvqwCnvpx147vALRYsWVb1791ZhL2ODcBrKWxCVxWuO/UD06NEj7Y8RZkQUCWW+OMiQCSCpK/dSbMo7xOHH5w29aDy8kkf2LPRMomSapA6yUWjb2rZtG8dKpciGDRt0ixkIWwIhyrjvJfYAOvzenPPuYB9J/ZyHw4/ECSZ15M+fNvfFmjUK3wVaXcQOPFPpjypQoYczGztdABMH0Ht59tlnZzE4Un2MKBsCJHnk/qEMnb3m3q/RvXv36ooikhwIlrizp8QbUB7NsVLewHFn6QEBPinjd4sikuTXKKpdq1WrxlvoEbKHYkJHmKZ9Rb1KitiD9Q5///79dQ8LdAdQzgbefPNNLV7z4osvOkr74NFHH9W9RPi3yT5G1ECPpJTxu40tkjhy/7jJegvHSnkDxociaAKYmUrPGv3tt98csSSSOO6gsyh3k9RBf7ToITCw7905z2oz73CfSVyjyYOWHdEXoy1qF9Y7/ChbHTlypC5hQ3k+PgAPPPCAniiAMYNuZLyefFiSeYyogd+tYcOG+pqbrDfjzliK6i0oS5PycwalkoctJ+lDPvOHDh3S7V8ktTWKCRJlypThbfQQVqGkDkrNEdRz30/iDeg1lzJ+VqEkj9uOZ2DfLtgEo5Tur0Q5PtR/4dTDgciuP2jQoEGqb9++2Tps8T5GFMHvi2oFCE6xRzo5YATIrFMaAt6CChSMP4LGBB3+5JF7h6wU9i/iHe7PPO4z94DUjFUGTb0Hxv+oUaO02DCmSTCgkjgoNUfJOeAa9RZMroLTDzuUyafkcdtIrJKyC+sz/G6QoccmnZOjDkMYqvy5iVnl9RhRRIxTjERZuXJl0C8nkrD3NL2IcUVDIPU1CnV+TFYh3oGAlIxa5RpNDpw/otHBgIn3uO8p12hy8Jz355zHfZZJCCQx5LNds2ZNrTNB7IEOP8kT9kh7ZwjAkcJGS9JjrG7cuFF/kcRh9jR9QAlZqiZYjpocUOd2jzsj3uIu7+UaTe2cR8IH2WjiLfK5RwXK+vXreXuTgFpS9kKHn+QJDFVR8GXkPzk47sw/Y5Vl/YmzadMmZwIJnan0V6EwO5U41JhILxUqVHCmx/CcTw65b3D2paKHpKcKhUGpxIH+2KpVq/Q1z3n7oMNP8qRo0aK6zBfQmUocjGxE3xlgKao/PdIkMdwGPg2B9K5RTHIRo4skvkZRhopxt8R75LNPZypxEMRj9jS9sO3Eu3Oetqh90OEncUEFX2/GndGZSg8QmIJyN6DDnzhuA59CPumBrVHerFGcRVJxRtKzRjFRBpNlSPygxByl5oDq5+mhVKlSqlq1avqa53ziUGPCbujwk4QMgbVr16otW7bwriUAS1H9gUGp1CP/lSpVcsp6ibcgkCKOKo3V5MedMWia/j0UE2XkfpPEg6bMnvoj3EcSQ+4ZEiSVK1fm7bMMOvwkLtwHmJSnk8ScKY4782eNLlu2TO3ZsyfNz2bmGqWhmj6KFSumatWqlel+k/hAxvnAgQP6mms0fVALJXlYLu0P8vnHCGy0R5HkznlWSdmH7w4/ZtST6MFy1OThuDN/jVX0UjIoFT8IjsChct9Dkl5jldmpxKDGhD8gICUjOblGE0PuV0ZGhi49J+nBfUbxnI+fgwcPqkWLFulrBk3tJGGHf+bMmeqjjz7KZCz+9NNPcf//N998U/3888+JPi0JgYJvuXLl9DWzU4kh94vOVHqhgm9yLFy40FGNpyHgT+B0zZo1Tr8vyRuOO/MHVKExKJUcPOf9gQK9yQFn/9ChQ/qatqidJOTwr1u3TnXt2lVt27ZN/xmiLr169VIzZsyI+zEwI7tv374suY0g7J1KbdwZnan0AuXuEiVK6GsGpZLrPWV/dHpx319mp+KH4878Q84prE9MmCF5g9JyiPO67x9JDxDnlQoKVqHED7WkSEIOP0Qebr75ZufPmDMqipnxsnTpUu3sY9QbiRZykC1evFjt378/6JcTCViK6h/oSWN2Kvk1ij25Ro0anr8v5B/YGpXauDMGpNKPZP+Q0IEeCskbd/COazT957zcYwb240fuFfy2o48+Ok3vDjGqpP/SSy/95z/ny6ceeeSRLP8GJfv9+vXL9v/PmjVLde7cOdGnJSFANllE/VEGTBKLqnLcmX9rFArTUr5Gcsc9Oxp7OvGnNYrZqcTHndGZSj+cdZ44zJ4Gs0Zhh6I3ncS/Rhs0aKDy58/PW2YhSVt348ePV/fcc4/66quvtIM/bNgw9cEHH6jRo0ert99+W7333nvqnHPOUbt373b+z/Lly3V2GCX9JHrQEEgcjjvzF3EIoOgtQnQkZxC8W7BgQaZ7R/zJTtHhjw86U/4Ch+DII4/Mcu9J3uc8Ss0h2kfSi+yhcPbhU5C8q6RkjfKct5ekwzyfffaZdvqREYLyPoT7kFGDof3FF1+ovXv3qm+++Ua1bdtW/xmbIAIC6LPt0aOHt78F8YU6deqowoUL61I/llIlnj0l/pdMN2zYkLc9F1Cyi89z7L0j6QP3edKkSU5rVKFChXi7c4HjzvwF67Fu3bq6SooOf3xw3Fmw5zztq9xZtWqVM8KQ98peks7wP/fcc7pvacyYMequu+7S6v1ffvmluummm/SB0bx5c12+jxLGNm3aqLlz56ohQ4boqoACBQp4+1sQX0DUH9F/QIc/bxD0gmYFoDPlDzBUCxYsqK9prOYNs6f+w9aoxOC4s+DWKAQ9ZYIHyR4kuhAccd83kl7Qg45edEBbNG94zpOEHX5k8nfs2BH3v0d506hRo1SzZs1Uy5YtVf369dXll1/OOx9h3OWof/75Z9AvJ9TACJB7xKiqP8DZxz4D6PDnjdwjBPPkvpH0wrFSiUHBvuDO+S1btjhTZkj2oFJH+sh5zvsDkoZyXrmnzJDskXvkFjYm9hG3w48oL0bynXzyyQk9AaJw9erVU8WLF9fl/1hwJLrIZgFtBpQJkZzhuLNg1ygi/8xO5Y5kR1AZwdJyf6hdu7ZujQIMSsU/7ozZU//gNIn4cX+GuUb9w63Uz3M+vjVaq1YtVaxYMR/eHRJphx/9+GXKlNF9+Inw6KOPaoVdREFR3ozeRRJdaAgkvslig61Zs2ba3hOS/Rrdvn27WrNmDW9PDsBIkqAUDVX/QDWFTOxgOWr8zpSMiyPph1Uo8SOfYVSXIXBK/EHOLAQFmXzKHVZJkYQcfmToUZ4v8xuhxn/HHXfoAMD333+vXn/9dX2Nvn1w+PBhNWDAAD2CCH+HYAF6+J966ine+QgDETSp0mB2KnfEmeK4M39hUCo+Nm7cqEt2Y+8Z8bcKha1ROcPsaTCULl1aVa1aNct7QHI+56FvRH0q/3CfWQyc5szmzZvVunXr9DWDpnYTt8PfunVrZ1QLgEDf9OnTtQI/nPyPPvpIBwGw+UH5efLkyerqq69W/fv3d/7PWWedpReeLD4SPYoWLarLggA32ZxBwItCPsHA7FR8sOUkeGN1z549Tsk6yXmNImFQpUoV3qKASqZJ3uPO2BvtL1IlBdjHnzMMmpKUVfqff/55NXHiRPX++++r66+/Xo0bN05NmDBB/fDDD7pHsX379qpSpUpZ/t/tt9+uPv7442SfloQsO0WyR0ZuAUZV/QXVSNJCwexUzrjvjdt4IumHVSiJl6JS/yeYNbp8+XIt2EyysnLlSkfImlVS/oJWSSaf8oaBfZKyw58bOJih0J8dZ5xxhpoxY0Y6npb4hBxs6I+GPgPJCntPwxGUosOftyGQkZGhM6jEP1D+CxFbwMBp9iBgumjRIn1NZ8p/3PccI5hJVtzny7HHHstbFODUKJI9cm+QgC1fvjxvk8Xk86oX1A16vy688MJs/y2ETSpUqKBLnkk0cZeu0RDIfZPFeseUCuIvUlWxevVqLd5Hcnb4WYHiP0WKFFF16tTR1zRWswctUX/88Ye+5hoN1uFnyXTe485YJeU/TD7lDQX7SNIOPxx1zGXFYbxgwQKd5T3hhBP0z6SEOS/atWunS55JNGE5at7MnTtXf6eQTzCwjz93EARBOSqgMxUMzE7lDntPgwWVP1KpySqU3B1+iFlD34j4C5NPuQONGGiqAZ7zJGGH/4UXXlADBw7Uau2IaELMr0ePHrpcBLOF0T+Lv+vTp48aPHiwHud36NChTI+B/v4lS5bw7keUihUrqrJly+prZqdyF/JhKWowuA83GqtZYctJ8MjegGD5pk2bgn45oXWmYFdAF4j4C7LWbI3KHY41Dc85T1s0K7B9YI8C2qIkYYf/0ksv1RGjtWvXakNl/fr1egYmsv0zZ87Uo/vuu+8+dfzxx2sj5rHHHtOBAaj1498AOIunnnoq736EDQHZPFjSnxVkTjEbFnCTDT4oxXLUrNDhDx6OlYpvjcLpdE8IIv6v0YULF6qDBw/y1se0sko7K7OnwYD2YIz+BnT4s0LBPuImv0oQZO8TBREmCPX997//VXv37lV33323qly5csKPQ8IDjLBvv/1WiyodOHBAHXXUUUG/pFBusjQEgg1KYY0yw5/zGoWID4IjxH/cPb8wVjt27Mi34X+gd1+CyQyaBodk+OHsoyqTfer/wHM+POf8pEmT6PBngwRBSpYsqapXr+7320NsUOnP7kOJPn9k+5944gld5i/9oySaiBHmnjdPMm+yFPIJxxp1j0gkWUtROe4sGBBskdG1zE5lZunSpWrfvn36mkHT4HDfe1ZKZYbZ03DAcz6+Kime88QXh98NMsH9+vVjtCni0BDI2xCACjeFfMIRlEJJKvkbVFmJhgpHSYVjjbIKJTMU7AsHEKOT6j2u0ZzHmpYuXTqAd4e491BUBfGc/wdU5UgyjkFTEojDD1V/Ztuij9uZFUV6ktlY5SYbHgVfGqv/AC2VP//8U1+zXDpY5P4jAANFZZLZmcqfP7+edEKCoUCBAqp+/fqZ3hPyNxxrGg44kSd70G4rguk850lKDj+E+pJdhG+//TbvfsTJly+fs4nQ4f8HiPhAzBJwkw0+KAWFb0Bj9R/cn1dm+MNhrELnhq1RWYOmcDapDxOeKhRR/LYdjjUND5jgIec8W6P+gS0nxBOH//rrr1dffvmlvs7rAIBq/5AhQ7SwG4BA1I033qjGjBmTzFOTECEZbGQMY0cv2gqFfMIDlL1FZJQZ/n8Qo6hEiRJsrQoYd1CQxqpybAq5FwyaBo+8B5g8Q+2lv2HLSbjOeRGT5DmfdY0WKlRI1a1bN6B3h0Te4XeX5D///PPq3nvvVUOHDlXvvPOOeu2115wgAJz6008/XX3xxRfOWB04/HD+pYeURBfJDuL9hDAaoSEQ5uyUlLHbDgX7wkONGjVUsWLF9DWN1X/a/rZt26av2RYVPBwfmbvDzyqp8FRK8ZzPukbREoXWKEKScvgHDBjgXM+cOVM7+88++6x65pln1COPPOKUJt51113qtNNO09UAsuDKlCmj+8JofEcftzE2Z86cQF9L2JypqlWr6rVOwmGsoj96xYoV1r8dFPIJX2uUGKvM8P8Ns6fhAtlTUfjmGlWZ7gNmwHOsafDwnM8M/CtqSRHPRfseeugh9e9//1tNmzZNjRw5Ul+jjBZ/Rpk3ggEFCxZ0/j0ODmQ06PBHH5QJsUc6MyxFDRcsmc6qoQKnHzB7Gg7E4UdrFJSmbcfdFuUW5CLBAHutVq1a+poOf2YdFOyhHHcWPDznM4PkhojAsi2KpF2lH47+W2+9pYoUKZLl7yDCw00y+qBqQ3qnKIr2d4+jZJG5yYYDlLMhiwporFLIJ4zIXoG585g/bzvyOYWTWbx48aBfDokpmbYd91hTBk3Dd85zjVJLiqTo8KMvH2X7u3fv1hse+rZzu0bZPj6EO3bsUFu3blXr1q3TyqYAGX/p6SfRRg48GGm2Z6fcBw0NgXCAgCPU+gEd/n8MAVTmYMY2CR72SGeGVVLhQ84z6CvAnrMZ91hTnvPhO+eZfPpnD0UQhGNNScIOP9T2oa6PiDtG5dx00025Xj/11FNaBbpUqVKqbNmyqkqVKurUU091MvwctWMGIliD7JTtQoxuh5KGQHiQ94KR/3/WKCpzKOQTDurVq+e8F7YHpbZs2aKdSsA9NDy4Wyts30c5iSf8Ar22I+cIgvrZVVkTO4nb4T/xxBPV8uXLdaZ+9uzZ6oknnlCbNm3SvUzu65o1a6qiRYuqTz/9VK1fv16tWrVKlyliAT7++OP6sdBDSkEzM3Ar1NoeWZXfH2sbAS4SDsRY3bBhg96nbAUVOMyehg/32CTbHX4K9oUTd/DF9nPePdYUUzZIuBx+2895VGPLZ5RBU5KUw1++fHntzFeqVEln7OHUQ6G0dOnSma7vuOMO9dFHH+lqgFmzZqmMjAxVu3ZtbXS3bt1aP9auXbvoEBmUnRJRRhoC/8yOpkZFeKCgz98gYIu2K8BRUuFco3AmZKytjTB7Gk4qVKigbUBgewZVBPtg0/KcDw8855UT8Ni8eXOWe0JIWkT7evXqpSZPnqzH902ZMiXT38HgRF8/+0rMAM6+vJc2j+bbv3+/Wrhwob7mJhveclSbM6huZ4prNFzI+4GSdhhstiKfT4w6EweThC8oZSuYPCVjpxk0DRc85/+GQVPiucMvWQg4eYMGDdKHwcknn6yvx44dq6sBvvzyS3X//ffrNgABWX+0B6AagJiBHHwwBGwdtwgjQEQLWUYVLlB9VLlyZWW7sSqGAPrFGXANFzRWM69RBqTCh7wn0OqBZo/tY025RsN7zttcheJOvNEWJW7+VgpKgm3btunv1atXV2+88Uamv5O+JkToMZ7vnnvucf7NJ598oq6++upkn5aE2OHHdAaMpUMLh61lfoCbbPiAcYbAo82GgDhTEFelaGq4HX4Ez20DrX4ylrBp06ZBvxySwxpFYBsB7mbNmll3j5g9Df8atf2cF1sUY01LliwZ9MshJjn8cG5yc3DQ83/ttdfqbH+1atX0SJNnnnkm2aclIcT9/mOzsdnhL1asmJW/fxQc/nHjxmmHYs+ePVp3xCZQkSXVDQxIhQ9UvEHvZvXq1dZWobiDpscdd1ygr4Vkxb1vYI3a7PBDaJNjTcN5zn/zzTe6CsXGc96d4WfLCfGkpB+lM4MHD870s507d6qVK1dm+++bN2+uy/jxfz7++GMKnRhGw4YNnbFSbqPN1k0Ws09JOLNTcHwRdLQNOJISpGUpajixvUfaXYpKYzV8IGMoI75sXaPye7ttHhK+PRTnvGgt2AQmo4kGDKukSCxJ7VgolxkxYoT617/+5YwTuv7669V3332n5ztnB0q9R44cqUqVKpXMU5IQg2g3yoSxLmxU6odgnziR3GSjMVaqZcuWyiZYihqNNTpmzBh9Vm7fvt26s1KCxRDsQ2UgCRcIZCNwOmPGDCsdfrQycNxZuHEHs7GftGjRQtmEO+HGoClJ2eH/8ccfVceOHXUEDT13Q4YM0T/v1q2bOnz4sGrXrl22/++zzz6ztr/bFmNVHH6sDZvG1cDZx9oHdPjDCdqJihcvrvcsG/v7JHsKo50Z/nDi3juwj+Z0lpq+RrmHhhdx+OfPn68d4COPPFLZwuLFi52xpmw5CSfQD0PfOiaB2Tg1ilVSxDOHH6JsV155pRo4cKDq37+/Klu2rPN37du3V1u3blVXXXVVjqP6WrdurUX8OnTokMjTkog4/B9++KHOTKG1Q4QbbdtkaayGOzs1bdo0K7NTskZRkWVjX2MUcO8ds2fPtsrhh4G+fPlyfc3MVHiRYCFU+vF+2dTH7j7n6fCHEySasI9iLLjNDj8SqyVKlAj65ZCQkVCz8aZNm3TJ4R133JHJ2RfWrl2ba4bt1ltvVV27dtVOPzE7O2XjJosNFuMoSbiNVVRkYJ6yLaDiRtYoDdXwgqk2VatWdRx+m3CfGQyahhd3dZBtgVPZQwsXLqzq1asX9MshOSD7x8KFC52KDFvOeSnp5x5KUnb4IdqSU28dMmh5RXtvueUW/dW9e/dEnpZEAIjYiFidrQ4/NlmbWhmihmQODxw4oI0BW0DFjQj20RAINxKQsS075Q5wcI2GlwYNGjhidbatUfl9EfSgYF94kf3jzz//tCooBcG+jRs36mvuoSQ7PJMTr1Klirr00kvz/HePPvqoKlOmjFdPS0ICyoQl4GOTUj9KG8V5ZClquHFnt23KoLp/V2b4w40YapiqsHnzZmWbM1W5cmVVoUKFoF8OyUWgF06/bXsoKsJE+4XOVLhxn3E2BaXYv0/ygnNF/geigWPHjlWrVq3SWgPJzKqGiM2LL76ov7s577zztPKw6cDhXbRokXb4bRHuE/EiQEMg3CAgVaxYMa1FAmP1wgsvVDYghjmyUjlNUSHhwL2HwIDr0qWLsgGWokbLoULmFO+ZLcJ9COpjGg/gOR9u0BaFluMtW7ZY6fDD7k7GfyHmw4HhSql169ap5s2bq3//+996CkHnzp213kCiQJvghhtuUDfffLPz9cILL+jeTBuQDDc22jVr1igbYClqdEDLiaxRm7JTYgig7QYZOhJe3FVCthiraDf5/fff9TWdqehkUPfs2aOWLFmibIDCvNET7rP1nK9Tp46eSESI5xl+bPpRVn0+ePCgzqJAiAXjZgoUKKCuv/56Pb8TWXkEAeKtEHj22WfV8OHDnV52ySq6/2xTyXRGRoayJTNVunRpVb169aBfDoljjU6dOlUL96EdA597k8G+JGuU5fzhB/sIhD8xwtYWh5+zo6N9ztevX1+ZjjiO7tZFEu41OmHCBB2Qwihe0x1gCvaRtDv8gwYN0mXwGLkXb+QNBvapp56qBQDDwHPPPaeN/y+++EI7+wDRQbzGAQMGqH79+um+wrwYNmyYOv7449VZZ52lbAViNijvQ5nfzz//rHr37q1MR4xyZOZsaGGIOhL5xxpFT2bLli2VySxdulS3MABmT6MB3ic4/LZkp+jwRws4+KgUQok71ui5556rbDrnbUngmBKUwv7Spk0bZTKYkCaaL9SSImlx+PFBwiL75ptvHPVr/Bk9NO5rdxQKJfODBw/Wvc/lypVTQfPyyy/r3taOHTtm+jn+/Nlnn6m3335b3Xnnnbk+Bn6vhx56SJ155pm6NNGmGfRuihQpogV94EjZYKyiugWaBYDOVDSzU6Y7/Gw5iR7YSz7//HO1YcMGrbyc02Qc09YobAVb2t+iDBIjCO7PnDnTinMegQ0khQDP+WjgdnqxRk13+N1BU65RkhMphSqffvppdeONN2qHH18ffPCB82f3tXyNHz9enX/++bpscceOHSoM2S+U/KAUO7YtQT40EydOzPNxRo4cqT9wDzzwgC7HbN++vfr++++VjTRr1syJiMeKF5oGglYomQbcZKMBPusyJcQGY1UyU0cddZSjrk2iJdxn01hTEq3AKYL7aIs0/ZyHSj9gW1Q0QJBUAqU27aEU7COeOvxw4r777juVikDPiBEjtLBEGDZykF2vOYIS7n+TG+j1R/Cjf//+uvwf9wdO/zPPPKNsdfhRRmy6oA+FfKKHbYI+skaPOeYYp2WJhBt3e5DpaxQCrxhBCFiKGh3E8YWzL9lvG855OvzRQd4rGxx+tNAC6EtEWVONhKyk/+KLL1bTp0/XY1mSAb376RoN9c4776itW7fG9W/h5O/cuVNfZyfoIT9DgCIvMMYPXwCtDE899ZS67777tEp/vXr1VM+ePXP8v8gQb9++PdPPkI3DVxRxG23YhOrWratMZdasWfo7MsYI9Ei2n4QbOPyo3EFACp+9EiVKKBM5fPiwmjdvnvM7c31GAxhsCIhjfcLhN/l9++mnn5xrrtHonvMmjwGToFvJkiVVtWrVjP48mrZGx4wZo9ts0V4slX2mgfUoaxQJN65P+8gXp65Iwg4/Rjt9/fXX6tJLL9V964kycOBAlS4wCg59j/GAvn3JomTnXEs5Ov5dIuCx7rrrLu0AXnLJJbrMPzeHH5uRVBMICBTccsstKoogUIJ7gMAH2hratm2rTAVTHQACWBjtSKKBe5oCHH+IbZrI4sWLndnR0BWBsA+JBgiUwuGHM4VzzVRBUHe1IEpwuUajAUT7EJiCjg2mnpx88snKVKBVIGKFPOejg7tyd9KkSU5SzjQg8Cot0rVr1+YeaiEZcU5ES9jhv+iii3SkDF9wZrHpI4oGEEVDCTz+7L4WBxpfcAShgJ+OedBwtBPhvffe09/FKHaDUR4gWWFBVEKg4gAbDcreChYsmO2/gyGOPjhTMvySqUEVCATtqlSpokwElSSrVq3S1yeeeKKxv6eJdO7c2bnGe3j66acrE8HeI3To0IFrNEJgTxk9erSuQEHGBplFU4NSUopqw3g3k0A2ccqUKfo9NPX827t3r1q+fLm+btWqlbG/p4l06tTJuUbbkKnvnVsvDGLjpv6eJECV/r59++rMGEq5hg4dqn8GwwTOLf4s13CqoWKP8lJ8wbl+7LHH4p5vn05ExCq7qoBNmzbp76loDcCRQAYxN/E6lGKUKlVKmWYIwOEXsZsoBy9ywt0X1qJFC47qiRDIJOJQRDYRYpumjlkS5V5Mz0Brkam/p8laKADlmiZOfoFdIKWozZs35/qMYI80HP6FCxeqffv2Gdk7jNZVtzAv99DogIkfCJQiqA97zdT3Tvr3kUSFVo+pvydJnZRWBkSgnnjiCZ3NxxcMTPmzXCMTij54ZMxxKGDzvPbaa1VYDiyU0+PAiu17kXFrp5xyStKPD0cehnbhwoWVjcYqnP3Y6gXT+vdjjXMSLUEfk0XRxBBAL+ORRx4Z9MshCYCxZyKy6N5rTGLZsmWOfg330OjuobCdktV0Cjvuzx4C+yRayL4CrRAEGE0/5ynMSzxz+MeOHatSBb2IYYkEoz8fLQpQlEdG2s3kyZN1ZrpPnz5JPz6i39dcc42yDbfxJpuRqYYASlEh5kOiaayi1A8BStNAb61MGKGhGj0QJBZxW1MdfvfvhQw/iRZuxXpTA6ciKomKMOgykWghZ9/GjRu1FoppoGJaznkGTYlnDj+c1969e+tyfJO4++67denPkCFDMmX3R44cqYXz3AJf48ePV+3atcsU+EDU8LnnntMBAjcQNkQpUViqGfzE9Fnn7lJUbrLRN1ZNDEqhwkpaiejwRxN53/BemjjrXBx+lKKma3IPSR9Vq1bVtpOp57x7jTIgFU3cZ597IogpoLIGlbSAtijxzOGHE4dRc5988ol2cFeuXKlMoEKFCmrYsGHqq6++Uuedd54aMGCAFrjq16+fGjx4cKZ/C20CBD7efvvtTL3+t99+u/4/p512mp5ccMEFF6hRo0apzz77LGGVfxMwfdY5RHxkXCMNgeg6/KJ8bmIG1W3ccI1G21iF0K2JrVHyuYMOEEtRowf2TwmcmriHQuNFVPkZNI0mprdGsUqKJEL+RB1+ZL0ffvhh1b59e3XDDTdoJXpR4kd5CQTwkAkHyDBVrFhRdenSJdSzrvG7oI8fDv3OnTvV8OHD1UknnZTl391///26tAsK/O6AAca2fP7551qnoGzZsuo///mPjn7bDKKNECyEgi/uaZjf/0ThJht9sB4x+gzVPDJ2ySRkjWIfgkghiX52yqQMjrsUlQGpaK/RcePG6fHCSH5Ixt8EGDSNPqgegtOPKj4TM/xSnYhpYqZOciHekXD6Gf33yGJDpR8ZcfTGYMyeKENCiR/lh3B+cQAgSICM9+WXX64GDRoUWscPRjGCGbkBpWT8DrFgQ8EX+Qe3cYqS1LZt2xpze+TgYClqtGnZsqV2+OEcIzhpirAdWk4kiMHMVHTBeYPWKAjfmtZ2wlJUc/ZQ97nYvXt3ZVrQFFWaqEIh0QRnIPbPefPm6Wopk6ZGuVtOpGKREM9V+lGyDaMScx8xY/6BBx7QXwgGPP744+rll1/WmXIc7HD4sGlijunSpUuTfUoS0R5p0zKoLEU1y1iFwJ1M5TABiBMhEAvo8EcXGHCS/TYtO+UOYDDDH+3AviR7TD3noS+B0aYkmpjaGgWxYVTWAJOqv0hIx/JhE/z444+1ON2ECRNy/HdQMn/yySfVBx98oC655BK1ZcuWVJ6WRACU9tWsWdM4Q4ClqObgdjRMWqNu55AOf7SR92/FihVGTZMQZ4qlqNEGFZ8NGzY0bg+FEBpmtwPuoeac8yb18bv1sRg0JWl3+PUD5Muns/no40IELa+s77vvvptFDI+YnUGFA4JZvSbAUlRzqFevntNiZJKxKkYNxIrYahRt3M6GScaq/C7ITLEU1Yw1CgdZFMOjDvQlENwHdPijDfTHEFg0rVLKfR64K2oJSZvDrx8kXz51zz33qH379sXVl3juuecao/JPcub444/X36Fob0orBwX7zAH7lokl0/K7wNmHzgQxY5qEKX387lJUZqbMCezD/hMhxqjDKilzwP4pQRuTznk5D1BBXbJkyaBfDrHF4QfFihVTpUqViuvftm7dOtN8e2K+oI8pGVSWopqFGAJLlixxRi1GGVRZQZwIMDMVfVCBgkoUk4xV9u+bhcnnPEQzpTWRRBc5C5FohJh41EHFrOyj7N8nvjv8hMTSoEED3eNnkiEgRjdVUc3AtJJpiBJJaxUdfjOQ91GmSZiyh7rnuJPoUqtWLe0YmxSUYsuJWZjWxw+R4e3bt2eqpCUkL+jwk7SBMWdirM6YMSPyd3r9+vVaoDI2q0Gii2nCfWw5MXeN7t69Wy1evFhFnR9//NEJCLMU1axpEibsoRiDuWzZMn3NoKkZILAo0yRMCEq57Wk6/CRe6PCTtCKOsTsiGVWmT5/uXJ9wwgmBvhbiDWhDqlu3rjGGgPwOECli25QZmFSFcvDgQUddmnuoeee8CSXT7s8YHX4zQMsxAoymnPNiiyJgWr9+/aBfDokIdPhJWnFHH6O+0comW7BgQZaiGmismlAyLZ8xGKpUPzcD9PDDYDWhUgpTTkTclw6/Obgr3qJ+zrtfP1tOzEGCN+h9P3z4sDLBFsXnTioXCMkLrhSSVty97lEv95NNtmnTplQ/N9AQQMk0KlGi3HIi00+YmTKrNUocKneVUZTL+QEdfnOAcJg4HlE/56dNm6a/s+XELORM3Lt3r9a6iSobNmxwppxwDyWJQIefpBWUHInKdJSzU3AGkZ0C3GTNwu0cRzk7JYYqaNWqVaCvhXiLvJ8Ybxrlkmk5AypXrqwyMjKCfjnEIyDO27Bhw8g7/BA8FfVz7qFmgelg2QUeowZbS0my0OEnvpX1o2Q6qqVUeO0YhQJoCJgFeuCKFy8e+aCUGDFHHXUUS1ENwx1kjKqx+tdffzmvHb8PW07MDJzOmTNHHTp0SEWRuXPnqv3792dxEEn0qVGjhqpYsWKk91C3jVKgQAGe8yQh6PCTtCPlqCilWrBgQSTvuPuAoEK/WaAUVd7TKBsC8tpRXgunn5jVGgUDL8prdPny5WrLli36mlVS5gb2odEwb948FUVYJWUuCDBKsgbvMwKQUc7wN2nSRBUuXDjol0MiBB1+4qtwX1TL/WSThaK7zBwm5nDiiSfq7ytWrFDr1q1TUWPHjh1OMI0VKOYBww7aIVF2+Nm/bzbufcftOEdxjVarVk1VqVIl6JdD0rRGEXhEe1TU2LNnjxNMY9CUJAodfpJ2ateu7TjJUSyZRhuC9HbTmTITd/lmFI1VBKQkY8E1aibyvkJLBJoiUQ2aYuKA9HsTc8AY0KpVq+rrH374QUUNtOyJfcI91Eyi3scPfQmZJESHnyQKHX7iSymVZPmjWEoFRVe0IwBusmbinrwQRWNVjBe0J7graog5iBMCxySKlVLiTKHXO3/+/EG/HJLGSinsR1Ebcfrbb7/pSinA/n0zweSFEiVKRDaw706Y8ZwniUKHn/jCSSedpL+vXbvWGSkSRVVURv7NBD3vIjoVRUNAHP7GjRs7AoTELNwGXtSyU5s3b1ZLlizR1wyamu/w79y5M3J6Pezft2PEqeyjUdtD3bYoqmbLly8f9MshEYMOP/HV4QdTp06N1F2XgwEKryhbJGYiWZ1FixZpByUqQCRr9uzZ+poBKXMpXbq0zlBF0Vh1VyTQ4TeXKLdGyWcK7YdHH3100C+HpHmNrly5MlJ6PaiYkX2U2X2SDHT4iS80atRIlSxZMnIOP9oPpIwKmyxHSZmfnYqt6ojCyEgZg0WH32zk/cV7fvDgQRU1ZwoZNkwcIGaCzGOFChUi1xrlHhmJzxjPeXNxn5FRCpyi5WTXrl36muc8SQY6/MQXYOjJJgVDICp9/IgCb9iwQV9zk7Vn9FmUjFW30cI1akd2CrPCMTM8Kki295hjjlFFixYN+uWQNAFHWdZo1M759evX62vuofbo9USpCsWdKOMaJclAh5/4Xta/Zs0afcBGge+//9655iZrNkWKFFHHHXdc5AwBcfjr1KnDvj7DieLoM/Rzz5kzR1+3adMm6JdDfKqU2rp1q26PigIMmtql19OsWbPIZfinTJmiv1euXFlX0hCSKHT4SSB9/G5HOsx89913+nupUqV0doqYjWSnMPoMjkoURkZKXx8DUuaD2eCYER4lYxWBCUwWAG3btg365ZA0E8U+fvksIejbpEmToF8O8WmNokx++/btkTjnJcOPoClbTkgy0OEnvgGHWUaiRKFkGuWIElXFJou2BGJHdgrvfRT6+BGY2LNnj76mw28H8j5HZfSZ7KEYxcdxZ+ZTv359LXwXlXPe/TpbtmzJkZEW7aFROefnzZvn9O8zaEqShQ4/8Q04zGLwIVoZ9v6+hQsXqk2bNulrbrJ2AGFGzLKPirEqzhSgM2UHshe5S+WjUCUFjQz275sP9k9xqJDhD/s5v3r1arVs2TJ9zXPennMeAcjYMzSsuF8j26JIstDhJ74SpT5+9yZLQ8AOMMMes+yjUo46efJk/b1mzZqqRo0aQb8c4gPt2rXL4kyHFQRMZR47DVX7KqUghLdixQoVhT009rNFzAWBxxYtWujrb7/9VoUdaYHFOS8tXYQkCh1+Elgff9jH84nDX6lSJc7ltdBYxWx7KaMLI/v27XN6T9u3bx/0yyE+UbVqVWc/cjsrYcS9xzNoag/uaqOwV0pJ0Axjg4899tigXw7xCTkzUckpk5jCCMavyjnPPZSkAh1+Elgff5gdfrdICjZZiqTYZwigPzrMa3TGjBnqwIED+poOv13I+401sHfv3qBfTp6ZKYzBkowaseOch9Bt2DOoEJOUoBnOeer02IP7zAxz4HTWrFk6uA9YJUVSgQ4/8RUcqNLfF+bIP0RSRKWdUVX7slMFCxbU1xMnTlRhRYwUBKNoCNhprCL7E2bRKamSOuGEE5zZ18SOc17OTexTYRWXhEr7li1b9DXL+e0CI3iLFSsWeoef/fvEK+jwk8DK+t1iOWGD/ft29/fBQQl7dkqMlKZNm6rSpUsH/XKIz3uoiEuG1ViFTgvF0OylU6dO+vu2bdvU3LlzVRhxf3ZYJWUXBQoUcALlaOsIq7ikVEnVq1dPVahQIeiXQyIMHX7iOx07dnSuJ0yYEGqHv1atWiojIyPol0N8pkOHDvr78uXL1e+//x66+4+sFKpQAA1V+0BbVLNmzUIt3Megqd3IHgomTZqkwuzw44zHWU/sQqo6IC65aNEiFTbQrvXTTz/pa1aaklShw098p0GDBqpy5cqhdfjRFy1lstxk7c5OhTXLD2dKMhJ0+O1E3ncEfqQsOYwOPyZfUAzNPuBE161bN7R7KNphpK0QnyXq9NgdlApj4HTmzJl6nQLaoiRV6PAT38HB2rlzZ32NA1cEScICIqrymrjJ2kmjRo1UuXLlQmusinFSuHBhPVOY2Ie75zhss6QRjJJSVEy9kJnXxM5qPjguYZt44j7nGTS1E0w7keRTmM952MwyPYiQZKHDTwLNoLpHi4UFd6SXYmh2gv5oif5jPWBqQ5icKTFOIDB41FFHBf2SSABA9R4BnzBmpxYvXqzWrl2rrxk0tRfZQ7F/SgAojP37POftBI60BE4xkefQoUMqTIhoMCqkqNNDUoUOPwkEbLIyAidsZf3jx4/X3xs3buxkeYm9xiqmNcyePVuFBWgKrFq1Sl9TWdpeEOiReedhE+5z7+nu9hhiF8hKhnXiiQTJMEKwfPnyQb8cEvA5v2fPHvXzzz+H5n3YsGGD+uWXX/S1VMQSkgp0+EkglCxZ0ilFDpMhsGnTJkdRuEuXLkG/HBKS/r4wrVF36aH7NRL7kFLklStXaoHJsCAOf7Vq1XTZLLGTsE48QRBXnDsGTe3G/f6HaY26g6Z0+IkX0OEngSGZH5R/wmAN2yZLh99uKlasqBo2bBg6Q0AUr8uWLeu8PmIn7oCPVCYFDTJl06ZNcwxViqHZjfTxr1ixQn+FZQ/9448/9DWDpnaDUXdyjoap2lReS6lSpVTz5s2DfjnEAOjwk8Bwl3qGJYMqRjM3WeI2BmfNmqV27NgR+E3Zv3+/E3yAMyWz2ImdwFCtWrWqvh43bpwKAxAQFGVpBk2JewxvWMbzffPNN/p7kSJFKIZGnH0KrXuo8gwaaF5ImxZsEGl/JSQVaC2SwECPvPTOhSGyik1WnClsslSWJmKs/vnnn6HI8mOqBWbzgq5duwb9ckjAIHsuxirWxu7du0MTNEXvNsXQCCaeyDkfhsA+MvuyRnHOFypUKOiXRAJGzlII4oahUgoTJCTBwHJ+4hV0+ElgIDspDhUEdCQrFBQzZszgJksyAVE0ZIHA2LFjA787ksVFMMqdOSP2IsYq9s+gxftgMEv2FIJt6OEmduM+57E+gx7Diyzuli1b9DWDpkQmnogKfhgqpcaMGZNlhDUhqUKHnwSKbGbIWk6fPj0UmywMFJaiEoDsj7SewJEJcjwfnCkxRhCIKFGiBN8kosfeyXi+oI1VCJ7KOL5u3brx3SGZ1gKc/aBHSLo/IzzniQTQxRZF20nQySdJLrRs2ZITJIhn0OEngYKSOulDFoc7KGdKnh+qwhzHR2KN1e3bt6sff/wxsBvz22+/OeP4TjnllMBeBwkXcPaldB7OjIiRBYF7D6fDTwQETTFGEnz99deB3hh5fsw2hzArIe5qD4iOoj0qKJYsWaKWLl2qr3nOEy+hw08CpUyZMo5ozujRo7XjHZQzhfnmoHv37oG8BhJOkAWSoFSQZf34fAgsRSVuevToob9v3rxZzZw5M3CHH86UiAkSgtYOVKLIHgpNlCDA6MoFCxboawakSGxQSnSbvvrqq1AETWmLEi+hw09CY6yuWbNGzZkzJ5DXwE2W5ATG38ks6SCDUl9++aUjglWrVq1AXgMJJ8gESVAqKGMVAVM6UyQnxHmBCjqmngS5h4JevXoF8hpIOClZsqRq166dc84HFZSSCpQ6deqounXrBvIaiJnQ4Sehcfhjs5h+Is/boEEDVbNmzUBeAwm/sbpy5Uo1b948358f86t//fVXfd2zZ0/fn5+EG6igt2rVynFqgghKufduZqZILO7y5C+++CKQGyTBMDhT9evXD+Q1kPAiZ+vGjRsDqZRat26d87ysQCFeQ4efBA5KP4877rjAslNwpiA2FRt8IETo3bu3cz1q1Cjfb4zbQGZmimSHrIvVq1c7+5mffP755/o7qk9QhUKIG/TLS1AKe6jfQSmISUplARw7KKAT4gaBSqmUcleD+IU7WHvqqafyzSGeQoefhMpYXbx4sVMW6hcjR450rk8//XRfn5tEg4yMDD26R9aL38aqGB/ITKEKhZBY3MFKvzOoqHz5+eef9fVpp51GZ4pkC9aGtO/JevELdzKBVVIkr0op7KF+n/Nii1arVs1JghHiFXT4SagMATBixAhfn/uzzz7T31HiR2eK5LVG0avsZ1k/nk+MYwTGmJkiOVVKSVAKe6ifxqq76oVBU5JbpZTsX1IR4hdiVyB4S2eK5JV8QlDKz7J+VKDIaGoGTUk6oMNPQkGNGjUCMVZRUTB//nx9TUOVxFvWL0EiP/j000+d6zPPPNO35yXRQ9YHyvr9NFYlM3X00Uerhg0b+va8JHpl/a1bt3aCRH4Jo6Ft76efftLXZ511FoOmJEdgBx555JH6evjw4YEETVnOT9IBHX4SOmMVs8blcE437moCOvwkrwyqqPVj3fgx7xyBL3H40RdNZ4rEa6y6A0Xpnhst01VgqLIChcRTKYWM5rRp03w/5xk0JXmV9bdv394JZB46dMiXGybBBSS/mjZt6stzErugw09CZayKYIofxiqyC5988okzNxr90YTkRp8+fRw13SlTpqT9ZqF1AFUo4Oyzz+abQ+I2VlEy7Yex+vHHHzvX55xzTtqfj0T/nC9QoIC+/uijj9L+fAyakkRBFQjYunWrmjRpUtpvIHSrRGgVNgaDpiQd0OGPAQbSwYMHUzpcdu3aler7omw3VhGR379/f1qfb+rUqbqaAJx77rlpfS5iTnbqqKOO0tcSLEonw4YN099hADAzReJB1gmM1QkTJqT1pqHKRT4HLVu2ZNCU5EmZMmWcEX0oY96zZ09a79rs2bOdoCn3UBKvAGrhwoUzncF+BU0lqUCI19Dh/x84dIYMGaINFjiCyTj6Dz30kD7MqlSpoho3bqy+++47r98v4/m///s//X3btm1qzJgxaX0uyS4ULFiQhgCJi5IlSzrzcaGcv3v37rTdOQS8xNho06aN3lcIiUd0qmjRovr6vffeS+sNwxmHahfAoCmJF1kre/fuTfv4s/fff19/R/UgK1BIPBQrVsyZ5DB69Gi1ZcuWtN24w4cPO+X80LdAST8h6YAOv1Jq8uTJ6t5771V33323k/FNlGuvvVY98cQTauLEiTrDf8kll+go9vfff+/1e2Z8ZLV06dL6eujQoWl7HrxHMroK7xMCNYTEg0Tg9+3bl9aJEjA0kKUFF154Id8cEhdw9qUkdfz48Y5Dng4+/PBD/b1QoUKZJq0QkhudOnVSZcuWTfs5j0SO7NEnn3yyqly5Mt8YEhcXXHCB/o6K33RW86EKa+PGjfq6b9++fHdI2qDDr5QuI3/66aed7HKiwKh66aWX1IABA5xxL7feeqse8wbHP5UWAdtAubRE4RGIwUiydJVQwWEDyb7vxF5jFQJ+4K233krbRIl3331Xf0cwyj1jnZC8OP/88x2dEnHKvWbDhg1O0BTZMFS/EBIP6OEX5wbCfehhTgeYpiItAwyakkQ48cQTnRYlVImk65yHDSFVBQyaknRCh99FslnewYMHZyuqhQ8vesf8nitvirEK/vvf/3r++DCCZZOtXr26duAIiZf8+fOrfv366WuMdJwxY0ZalM+ltQiGsegGEBIPCDwfc8wxTlk/yka9xv24l156Kd8YkhAXX3yxI04m57GXwEF7++239XWlSpVU586d+Q6RuMHalCw/7PgffvjB87u3fPlyXRUs5zycfkLSBR1+FzLOKBF27Nih1bpxoFSrVi3T38kILz9ndpsARo8huiqRVa9FfVA5AIcKoAIjmfed2A0MAVGaToex+uqrrzrXzEyRZIzVf/3rX/p6zZo1TibeS3Hbd955x5lw0qJFC75JJCHQqyxOOLRKdu7c6ekdROWAKJ9jv0aglpBEcAfb3WeyV7gTWgiAEZJO6PCnCLJ7yHLEOvsAQQAwa9asVJ/GOq688kr9HUbABx984Oljv/766/o7VFjPO+88Tx+b2DNRAjPHRWl69erVnj325s2bHdXerl27qqOPPtqzxyb2gNYoqVp7+eWXPS1JRQABJf0SNOUYKZIMUhkC8T4R1/MKrHkAh43OFEmGcuXKOS2mX3/9tVq6dKlnN9Jt20KUt169enyTSFoxKuQJQzne0kUos3sh1CZGjwjQuJGeRhHkyKm8fPv27Zl+hgPK9hLeLl26qJo1a6oVK1ZoB/2iiy7yJEL/66+/qm+++UZfYyMvUaKEfg8ISZQrrrhCffrpp3rPefHFF53WnlRBxYCMpLzqqqu4PklSQEgP++YzzzyjR5Mh49mqVauU7yb2S0y0kXMPrWvcQ0kydOjQQfdJw5GCg46qFKzbVMHjjR071mm1xDrlGiXJnvPSw//KK6+oRx991JMb+eabbzpVLZdffjnXJ0kaTCCxzuHHjFWZt5oXJ510kjbWU0WcdZnZ6UayHrmJ9kGUTlTphZtvvlndcsstynaghv74449rpx+bY+/evVN+TNmsUcYPQ2Dt2rUevFJia/QfY3TgSMEggPhjqkFEjPmTCpRGjRppjQmuUZIs3bt3Vy+88IIuwX/sscfU888/n/LNnDRpkvrtt9/0NSqkMEIVX4QkA/RQBg4cqJMnKJv2YnQe1rpUtJxxxhncQ0lKU0/atm2rW3chgIqRkhUrVkzpjiKgLxUodevW1XorPOdJsmRkZNjn8Acx916i0dlVFkiWLjcnAH1syDq7YYb/b66++mqtVL5+/Xqd9UTpqPRNJ8PChQv1RAWAsVWisUBIstx+++06cHTgwAEdQLz//vtTupkY7QldEAn8yTQAQpKhSpUqun8ZvaIITK1cuVIHqZIFTpT07qOC7frrr1fFixfnm0OSBuf6G2+8oUciQwgS7XypVDgi6fPVV1/pa0w3gbNGSCrcdttt2uFH8g5OPwJKqYBKAUkWIrnHc574gVEOfxDAYQexZflAZmjnNvsVpRilSpVK4yuMLkWKFFE33nijuuuuu3QlBPqaRR09GR5++GHnnuNx4y2DISS3SiHJ8qMKBcar7AnJtCTBEBAhNFS0sDeapAoCRzBSEYCGoQoR2WTXFYJaIoR22WWXcRQfSRk49wgc/fvf/9ZaKAhOIdifStAU5ftY43fccQfPeZIyOOPRZoqEEfrur7nmGlWrVq2kHgvVUNIShXYWtETRFiV+QI8nRaBOjN7y7MQ8UIoO2rdvn+rTWD2iT8pVUI6fbOnohAkT1Lhx4xzlVQqhES+AUSlZfUT/JaiUrKEqEynuvvtuOvvEE1B+ikAU+PHHH5NW7MfaFJ0KtLOk4pQR4gatIXImP/300zr4mQwIvEJEFaDyqkGDBrzRxBOQeJJq3kGDBiX9OE899ZSTILzvvvs4JYr4Bh3+FEH//cknn6z7b1Au6eann37S308//fRUn8bq6D82RbBlyxb1yCOPJPwYKLceMGCAvsacUzhThHhF8+bNtX4I+Pzzz5NqLZo5c6YzMxolqBCzIsQrkEGV1rJ77703qRFo6P+XPlMYvyzlJ16BVj05o7E2kwmcIuCKFitptZRrQrygcePGOogE0DIyZsyYhB9j/vz5zhhfKPN369aNbw7xDTr8LqQPHwJH2bFp0yYtgBSrug+HFJk+91gZOJmffPKJDga0a9cuPe+eJaDkSRwg9PRPnTo1of+PIIGIOaJfqkKFCml5ncReEEQS4c6bbropIYcKe8Wtt96q+6MR4ELZNUv5iZfA2ReHCuJoiU6UwGjZZ5991jF8IVBJiJfAVurUqZO+Hjp0qKOyHy/PPfecc85jP022tYqQnIC4pEzfQtAz0XP+uuuu034GSvjxWDzniZ/Q4f/fDNh58+Y549qGDRumli1blmVuMTIj+MCi1yy2jxd/B8cSGb4FCxZogwhRZojRkNTApoh7C2cI7wlGleU26tDNt99+66ihoi+6f//+fDuI51SrVs1xqNasWaONgXjnnmPvgKCk9Fujr48Qr0ErE84qAOG9ESNGxD054tprr1V//PGHzsRizB+mnBDi9Tn/n//8x6kcQXA+3nN+8uTJ6sknn9TXKOOHjUCI15QvX94559etW6f9gXjHPcKGRYYfQEOqSZMmfIOIr9DhV0qLGHXt2lWrwaPfEU47DKPYfnGMOEKfGZRfY3nwwQe1EMdDDz2ky3sxTgv9kvhOUqd27dr63gIYAZhbKv3OOYHNFYq/IgD40ksvqYIFC/LtIGkBM6Q7duyor4cPH6578vMC5X2oWpHWAIgBEZIuhwpnlIyBhUM1Z86cPLNS6P9fvny5/vOdd96pM/yEpCtwKuX86OPHhIldu3bl+n+wNuHgw/FCkgWtJ6lM8yEkL70J+AsAVSgYHZ0XCLC6E08cu02C4Ii/4k1DEc+RcTEY90HyBkv1hhtu0K0SopwKZym7XtJffvlFb8xow5Byvz59+vA2k7SC9darVy9HzwMOEqL52ZXuYea0CP6hzQTGQ6VKlfgOkbQyceJELYaK/RR7J1rRshtRisw+MljSq4qSaxiuVJQm6QTrEmPQpEUS5/zrr7+uhSJjQTUl5qJLJQCc/XPOOYdvEEkrKOVH4k/EumGXoqov9pzHWsaoSUyLQEAKrVVffvll0gr/hKQCM/wkciV/0ucHRV5kVEePHu3oLkD9FM59z549HWcfJVh09olfJX/oPxWBNEyWuOiii9Svv/6aKSOF1hJx9uF0YRQVnX3iB9g/JYuK7CmEqFBuKsrRMEwxfgqCUuLsIyCAABWdfeLHOQ8dk1NOOcU555FRReWlnPOo7oNzj+CqOPtoh6KzT/ygRIkS+swWPSjom6CNF+e85FARDEDAFOKR2FOh8QPnn84+CQpm+AOEGf7kwDxplOp//fXXzs/gNKFUFYJUKEMF6DO95557WCZNfAeZp4svvlj9/vvvzs/QLoQRnujxdwcIMNeXZdLEbz788ENdWio9qHDm0YIGx1+cf4CgKspRS5UqxTeJ+Ma+ffu0E4+WS/c5j0z/qlWrHJFlt74SIX6C0duoMIk952F7ykQTgMDAa6+9plq1asU3iAQGHf4AocOfPDBSES3FPNTsevzQ849+1eOPPz6l94iQZIHThIATxNGyE/Y566yz9ISPypUr8yaTQJg9e7YWoZ07d26Wv4PuCdpRMNKPmX0SBMiWYlwpMv6xmkqgbt26ulqFk5BIUGBdopIP7aXZnfOoToGeDwIBhAQJHf4AocPvjVOF6QrQQUC5H7JQKEXFvaWRSsIAov+ffvqp/o5SVIj2dO7cWR1zzDFBvzRCtPo+Rp1OmjRJa09gD8XaRKl/dvoohASR7UdJP8ZDwsGqUqWKnmOO9hQK9JEwgBJ+2KI///yzXpMZGRnqjDPOUPXr1w/6pRGiocMfIHT4CSGEEEIIIYSkC4r2EUIIIYQQQgghBkKHnxBCCCGEEEIIMRA6/IQQQgghhBBCiIHQ4SeEEEIIIYQQQgyEDj8hhBBCCCGEEGIgdPgJIYQQQgghhBADocNPCCGEEEIIIYQYCB1+kisHDhxQAwcO1N8JCQtclySscG2SMMJ1ScII1yUJIwcM9H2O+Ouvv/4K+kXYStu2bfX3KVOmqLCyc+dOVbJkSbVjxw5VokSJoF8OIRquSxJWuDZJGOG6JGGE65KEkZ0G+j7M8BNCCCGEEEIIIQZCh58QQgghhBBCCDGQ/EG/AJtZunSp2rNnj1PaH0b++OMP/b1bt27qyCOPDPrlEKLhuiRhhWuThBGuSxJGuC5JGPkjQr5PkyZN1EsvvZTnv6PDHyBlypRRYeeII45Q1apV098JCQtclySscG2SMMJ1ScII1yUJI0cY6PtQtI8QQgghhBBCCDEQ9vATQgghhBBCCCEGQoefEEIIIYQQQggxEDr8hBBCCCGEEEKIgVC0j+TIwoUL1auvvqo2bNigOnbsqC655JLQq1USs9m3b59666231NSpU7WYyoknnqguvvhiVaRIkaBfGiEOhw4dUpdffrk67bTT1FlnncU7Q0KjPD169Gg1ceJEtWrVKvXvf/9btWzZMuiXRSzk4MGD6r333lPfffedXpcNGjRQ/fv3VxUqVAj6pRHLmD17tnr77bfV008/neu/GzdunPrkk0/0ej3//PNVly5dVJRghp9ky6hRo9Rxxx2nr0855RQ1ZMgQ1bNnT3XgwAHeMRIIu3fvVq1atVLXXnutev/997WxgOvmzZurtWvX8l0hoWHQoEHagFi0aFHQL4UQx1ht2LChOvvss9WKFStUmzZtVNWqVXl3iO/s2rVLj6N+7LHH9PndtWtXNW/ePFW3bl01YcIEviPEFyZPnqz9mmbNmql3330313979913q759+6pGjRpp3+icc85RAwYMiNQ7xQw/ycKyZctUnz59dLT1ySef1D9Dhh+b8T333KOeeOIJ3jXiO8hG1alTR1edZGRkqClTpqgbb7xRV6JcdtllOnNFSND8/PPP6sUXXwz6ZRDi8Mwzz6hbb71VNW3aVP3yyy/6LCckKB566CFtZyIgKuOp+/XrpyuiULH3+++/GzUOjYSTihUr6vn19erVy/XfIcH0yCOP6Ow+HH1Qvnx5dd5556njjz9e9e7dW0UBjuUjWcAi/vDDD9XixYvV0Ucf7fz8zDPP1Jl/ZAfgcBHiFyihQgDqzTffzGQI/PDDDzpT8Ndff6mtW7eqUqVK8U0hgZbyd+jQQWcCbr75Zm0k3HnnnXxHSGC88cYbeu884YQT1Pjx41WxYsX4bpBAQSsezuxp06Zl+vl//vMfdccdd6idO3eq4sWLB/b6iF1Ur15d7d27V23evDnbMx2Jpj///FOtXr06k02KgEG5cuXUb7/9pqIAS/pJlh7pzz77TFWpUiWTsw9OOukkvchRSk2In6CV5OGHH84S9YfhgDJVGA/79+/nm0ICZfDgwercc8/NsncSEgQwRK+++mpVsmRJNXz4cDr7JBSgT/+nn35SM2bMyPTzJUuW6BJ/OvvETwoWLJjj36GSFHonCOS7gZ4ZWkxRYRobuAordPhJlp4WOE7ZGaz169fX3yGYRoifQJSvcuXK2f4doqwwIPCdkCCFfyBAdf311/NNIKHg9ttv1xkqlPOzKo+EhSuuuEIdPnxYnXrqqY6zBNtz5MiR6rXXXgv65RHiMHbsWP3dBJ+IPfwkE+idApUqVcpyZ5AlAEuXLuVdI6HKYl166aXs+SOBAafqmmuu0UJ9+fIxjk6CZ926deqrr77S6xHteFCgRka1aNGi6v/+7/8ipzBNzKFXr17q/vvvVw8++KBq3769rkKBaB+yqayOImHid4N8IlomJBObNm3S32EUxFK4cGH9Hf1VhIQBjJdCbxUUVAkJCrSbQMyHYmgkLMDZx96I6igI7ULfBMr8UOs/+eST1aOPPhr0SyQW88ADD+gWKARLn332WVWzZk3dS01ImNhkkE9Eh59kAgYCyJ8/a/EHNmZA0R8SBtC3j7EoKAFkzx8Jirlz56pJkyapm266iW8CCQ1QQRf18//+97/qkksu0WNMESRFzyqCpMiqEhIEEIWGiOQrr7yiW/LeeustPQIaI/sICQt/GuQT0eEnmcCoCbBnz54sd2bHjh36O1QpCQmaIUOGqO7du0dmJAoxD/Shohz15ZdfZik/CRXbtm3T35E5dVOrVi1djYKAKQR6CfEbqJ136tRJDRw4UPfzz5w5Ux177LHq22+/1YEpQsJCeYN8Ivbwk0w0adJEf1+zZk22PYEAGzMhQQLDADN8Oe+cBAmyUsuXL9ejpNxs2LBBf3/33Xe1KBWM2p49ewb0KomNiBGanaZE69at1dChQ51yVUL85LbbbtOOFPr3QbVq1XSVFP6MaRIQQD3uuOP4ppBQ+EQfffSRET4RM/wkExgzUaZMGV3qhwyAm/nz5+vvyKoSEhRYm3CknnvuOb4JJFBQ5ody1BUrVmT6EocfWVb8mWWqxG/g1IPsZkSL2BR7pklQyuc1atTI9LPSpUvrqj3w888/840hoaBHjx76+5w5c7L8HXwijOeDJkoUoMNPshiwV111ldq6dWuWURNjxozRCqp0+ElQLFiwQAtQIbOPjdbN66+/HtjrInaC8lNko2K/IEIFbrjhBv3nc889N+iXSiwDRiicqs8//zxLOeqvv/6q98+zzjorsNdH7AUjdLMLRMno3ewU0QlJF3/99VeWBKfQvHlzddJJJ2m9iX379mXK7iMIcOGFF+pgVRSgw0+ycNddd6natWtrFdU//vhD/+yNN97QJdTIqhYoUIB3jQSS2Ue/foMGDbTD/8wzz+gvqE2ffvrpkZmFSggh6QbCfC+88IIO3iPwJOJTEJl86aWXtGgfznlC/AYCpwsXLlSPPfaY87MDBw6oQYMG6RLqqGRMSfQ5cOCA3iNRhZdTJR7sTfy7xx9/XP8Ze+mdd96p21IeeughFRXYw0+yAMVJlFydccYZqmHDhroXEGWpw4YNY3afBML06dN1aRU25pxG8KEChRBCyD/zzt9//32tzj958mRVtWpVXXFyyy236AknhAQBNE3Q9oQ1iGQShCUR0G/UqJEaPXo0k0rEF+6//36tZbJ9+3anFx/VeLEjS5s2bapGjBihLrroIr0+YYdiTB8mnmBPjQpH/JVTHQOxHkSxZsyYoQ4ePKhatmzpzJwkxG9QOgVxtNxA9j+70SmE+A2M2R9++EEdc8wxqm7dunwDSKDs3r1b76HIUrVo0cLp4SckSDC//KefflL79+9X9erVU3Xq1OEbQnzjhx9+cPR2BCQ427Ztm+2/R2sUfKISJUqoZs2aqSOOOEJFCTr8hBBCCCGEEEKIgbCHnxBCCCGEEEIIMRA6/IQQQgghhBBCiIHQ4SeEEEIIIYQQQgyEDj8hhBBCCCGEEGIgdPgJIYQQQgghhBADocNPCCGEEEIIIYQYCB1+QgghhBBCCCHEQOjwE0IIIYQQQgghBkKHnxBCCCGEEEIIMRA6/IQQQgghhBBCiIHQ4SeEEEIIIYQQQgyEDj8hhBBCCCGEEGIgdPgJIYQQQgghhBADocNPCCGEEEIIIYQYCB1+QgghhBBCCCHEQOjwE0IIIYQQQgghBkKHnxBCCCGEEEIIMRA6/IQQQgghhBBCiIHQ4SeEEEIIIYQQQgyEDj8hhBBCCCGEEGIgdPgJIYQQkhD9+/dXI0aMUH/99Vee//b+++9XEydO5B0mhBBCAoAOPyGEEEISYtGiReqZZ55R27dvz/PfXnXVVerss89WL7zwQkLPsWLFCr4rhBBCSIrkT/UBCCGEEBJN9u/frwoVKpTpZ3v37lW7du1SFStWzPH/FShQQHXq1EmVLl06z+eoUqWKuvrqq9Utt9yiKwNmzpypxo0bl+v/+eOPP9SQIUPUDTfcoAYPHqz8ol+/fvo5jz/+eN+ekxBCCEkndPgJIYQQS/nuu+/Ufffdp7p37+78bOrUqWrBggX672rWrJnt/zvyyCPzfOwvvvhC/frrr+raa6/VX99884066qij1AknnKAKFiyoqlevrsqWLZvj/4ej37ZtW+UXBw4cULNnz6azTwghxCjo8BNCCCGWAsf7xx9/VFOmTHF+9vDDD6vdu3erGjVq5Pj/jjjiCOca/fkIDNSqVSvTv8FjPPDAA7oSAE6+PAeqA+LNoJcrV075xddff61OOeUU356PEEII8QM6/IQQQojFDj/In/8fcyBfvnyqRIkS6q233lIrV67M9v8tXbpUHTp0SJf/o5e/fPnyatKkSZmcfjj2eBw4+/Jn9PyXKlUqy+PheTIyMvRzp4vrrrtOPfvsszk+xyeffKKuueaatD0/IYQQEgR0+AkhhBBLcWfqY+nRo4favHmzzvQXKVIk09/98MMPqk2bNuruu+9WDz74oP5ZrCOdXdk/Mv7r169X9evXz/Tzl156SfXp00c9//zzKh2MGTNG/y45OfsHDx7U5fytW7dOy/MTQgghQUGHnxBCCLGU3DLqlStX1l85BQrwf92VAdn9m1gQBEBVwb333pvp5y+//LIOMHgNxgYOHTpUZ+5RiZATY8eOVV26dMn2NUNAEHoCqHhARcOxxx6rDh8+rD766KNchQ0JIYSQMECHnxBCCLEUcXAHDhzo/Gzy5MlOqT8y48h+n3baaUk/thsECPDz7AIFuQn4JcPatWtVx44d1eLFi/WfL7/8cq38j0x+LMOGDdN/nx1PPPGE7u+HVgEqHR5//HH15JNP6mACIYQQEnbo8BNCCCGWIk65O+MO0T4o9YOuXbtqpXyM0UOGPB51/tjHdoM+fr/AOMD58+frCQRz5szRAYDsXj+0CDAqEBn8nHr7L7zwQkefAAEAtDQQQgghUYAOPyGEEGIpkqWOFe0T4CAjK96qVStVqVIldc8996T0fHgeZNjdFQWi6J+OjDmqEzAd4Oyzz84x2IBxgZ07d85RzwD34PXXX1fnn3++qlChgv5Zv379PH+thBBCSDqgw08IIYRYSjxONlT24fBD9C4RsnOgEUxo2rRptj38f/75p/IalOEfOHBAZ/lzAhn8iy++OMe/v+WWW9R5552nGjRooO644w6t9n/llVfmKnhICCGEhIX0zb8hhBBCiBGgnB8K+6kGE1A+Lz387i+QDocfGgR4vm7dumX79xDfmz59um5byIlzzz1Xi/ohu3/nnXeq2rVra8E+QgghJArQ4SeEEEIsBQr08fwc4+pKlCiR8vPB4U/0taTq8Ddr1swpxY9l/PjxqkOHDrlOKwAnn3yy+vXXX9Urr7yifwdk/IcPH+756yWEEEK8hiX9hBBCiKVIVj1Wpd+LfvrsHgMZ9Zx6+PF3XrJs2TK1ZMkSdffdd+f4b6DOf8EFF8T1eOjlv+KKK3SAAEGE559/XmsDEEIIIWGGDj8hhBBiKZJxj1Xp/+qrr1J+7JxK+rPr4YcoHkbeeQlG6QGU80O8b/v27Zky/agowDQC6AfkBnr24dwL9evXV40aNUpLRQIhhBDiNSzpJ4QQQiwFjnChQoUy9dO3aNFCPfvss2lx+JERf+qpp7L08H/33XfqpJNOUl4CZx7K/BAc/M9//pOlbB+Cfu3bt89z1OCkSZN0FcCCBQt0wAJtAvPmzVOXXnqpp6+XEEIISQfM8BNCCCGWgmz14sWLM/2sV69eWf7d1q1b1cKFC1X16tW1g45rlLbnBjLgsT377dq1y/bfYsb9mjVr1L59+/Rz7NmzR/+8YMGCKlkqVqyoXyvaB66//npVrly5LOr8ffv2zfNxMI4QbQht2rRRu3btUnXr1lVvvPGGuvDCC5N+bYQQQohfHPFXOgbfEkIIIcQY9u/fr8v8IVoHxXrw5Zdfqp49e+b4f6Bkf9lll+n+/HjYsWOHevfdd7WDvnPnTp2dX79+vSpevLhKBwhI5JXdBzCTOIKPEEJIVKHDTwghhJC4ufzyy1VGRoYaMGBArv9uxIgRuo8+rx75WH755Rd1/vnnqyeffFJ17dqV7wwhhBCSAnT4CSGEEEIIIYQQA6FoHyGEEEIIIYQQYiB0+AkhhBBCCCGEEAOhw08IIYQQQgghhBgIHX5CCCGEEEIIIcRA6PATQgghhBBCCCEGQoefEEIIIYQQQggxEDr8hBBCCCGEEEKIgdDhJ4QQQgghhBBCDIQOPyGEEEIIIYQQYiB0+AkhhBBCCCGEEAOhw08IIYQQQgghhCjz+H+p+XZ9te4/EQAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(model_explorer(config,result[\"metrics\"][\"gravity_fit\"][\"value\"]))\n",
"trajectory_figure(result)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "pendulum-029",
"metadata": {},
"source": [
"图 4 非线性单摆与小角度近似的比较"
]
},
{
"cell_type": "markdown",
"id": "pendulum-030",
"metadata": {},
"source": [
"#### 单摆运动与相空间\n",
"\n",
"播放或选择时间,观察摆球位置与相图中的同一状态。取 $L'=1\\,\\mathrm m$、$\\theta_0=20^\\circ$,初始角速度为零;经过平衡位置时角速度的绝对值最大。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "pendulum-031",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:13.081409Z",
"iopub.status.busy": "2026-10-15T14:33:13.081145Z",
"iopub.status.idle": "2026-10-15T14:33:13.323225Z",
"shell.execute_reply": "2026-10-15T14:33:13.322736Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(animation(result))"
]
},
{
"cell_type": "markdown",
"id": "pendulum-032",
"metadata": {},
"source": [
"图 5 单摆运动与相空间"
]
},
{
"cell_type": "markdown",
"id": "pendulum-033",
"metadata": {},
"source": [
"#### 摆角扫描与重力估计偏差\n",
"\n",
"精确周期写为\n",
"$$T_{\\mathrm{exact}}=4\\sqrt{\\frac{L'}g}\\,K\\!\\left(\\sin^2\\frac{\\theta_0}{2}\\right),\\qquad \\frac{g_{\\mathrm{est}}}{g}=\\left(\\frac{T_0}{T_{\\mathrm{exact}}}\\right)^2.$$\n",
"其中 $K(m)$ 使用参数 $m$ 的定义,$T_0$ 为小角度周期。滑块选中同一摆角,联动显示周期增量与重力估计偏差;灰带标明 $0^\\circ$ 至 $5^\\circ$ 的小摆角范围。"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "pendulum-034",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:13.325063Z",
"iopub.status.busy": "2026-10-15T14:33:13.324849Z",
"iopub.status.idle": "2026-10-15T14:33:13.564810Z",
"shell.execute_reply": "2026-10-15T14:33:13.564162Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(amplitude_explorer(config,result[\"metrics\"][\"gravity_fit\"][\"value\"]))\n",
"scan_figure(result)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "pendulum-035",
"metadata": {},
"source": [
"图 6 初始摆角对周期与重力估计的影响"
]
},
{
"cell_type": "markdown",
"id": "pendulum-036",
"metadata": {},
"source": [
"#### 周期与机械能校核\n",
"\n",
"以椭圆积分周期核对常微分方程积分得到的周期,并检查无阻尼模型的机械能守恒:\n",
"$$\\frac{E}{m}=\\frac12(L'\\dot\\theta)^2+gL'(1-\\cos\\theta).$$\n",
"下列误差用于评估数值计算,不替代实验不确定度。"
]
},
{
"cell_type": "markdown",
"id": "pendulum-037",
"metadata": {},
"source": [
"表 6 周期与机械能的数值校核"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "pendulum-038",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T14:33:13.566536Z",
"iopub.status.busy": "2026-10-15T14:33:13.566314Z",
"iopub.status.idle": "2026-10-15T14:33:13.573772Z",
"shell.execute_reply": "2026-10-15T14:33:13.573018Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" \n",
" \n",
" | 检查 | \n",
" 数值 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 数值周期与精确周期相对差 | \n",
" 5.884e-15 | \n",
"
\n",
" \n",
" | 机械能相对漂移 | \n",
" 1.449e-13 | \n",
"
\n",
" \n",
"
\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s=result[\"simulation\"]\n",
"period_error=abs(s[\"period_ode_s\"]/s[\"period_exact_s\"]-1)\n",
"assert period_error<1e-7 and s[\"relative_energy_drift\"]<1e-7\n",
"display(pd.DataFrame([[\"数值周期与精确周期相对差\",period_error],[\"机械能相对漂移\",s[\"relative_energy_drift\"]]],columns=[\"检查\",\"数值\"]).style.hide(axis=\"index\").format({\"数值\":\"{:.3e}\"}))"
]
},
{
"cell_type": "markdown",
"id": "pendulum-039",
"metadata": {},
"source": [
"### 结论\n",
"\n",
"逐组计算的平均重力加速度为 $9.797523\\ \\mathrm{m/s^2}$;采用含截距的 $T^2-L'$ 线性拟合,得到 $g=9.735218\\ \\mathrm{m/s^2}$,相对 $9.81\\ \\mathrm{m/s^2}$ 比较值的差异为 $0.7623\\%$。两种数据处理方式受截距项和误差结构的影响不同,应结合残差、长度测量与计时条件共同判断。\n",
"\n"
]
}
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