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https://github.com/Visualize-ML/Book4_Power-of-Matrix.git
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349 lines
224 KiB
Plaintext
349 lines
224 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "73bd968b-d970-4a05-94ef-4e7abf990827",
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"metadata": {},
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"source": [
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"Chapter 17\n",
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"\n",
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"# 梯度\n",
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"Book_4《矩阵力量》 | 鸢尾花书:从加减乘除到机器学习 (第二版)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "d1bf7c9e-2f2a-4f2d-b125-e3fce5a17948",
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"metadata": {},
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"source": [
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"该代码旨在符号化和数值化计算函数 $f(x_1, x_2)$ 的梯度,并通过 3D 和 2D 可视化展示函数图像和梯度场。\n",
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"\n",
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"### 1. 定义函数和变量\n",
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"代码首先导入了必要的库并定义符号变量 $x_1$ 和 $x_2$,以及目标函数:\n",
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"$$\n",
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"f(x_1, x_2) = x_1 \\cdot \\exp\\left(-(x_1^2 + x_2^2)\\right)\n",
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"$$\n",
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"其中 $\\exp$ 表示指数函数 $e^x$。该函数是一个基于二维变量的高斯分布调制的简单多项式。\n",
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"\n",
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"### 2. 梯度计算\n",
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"梯度向量 $\\nabla f$ 表示函数 $f$ 在每个方向的变化率。代码利用符号计算对 $f(x_1, x_2)$ 分别对 $x_1$ 和 $x_2$ 求导:\n",
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"$$\n",
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"\\frac{\\partial f}{\\partial x_1} \\quad \\text{和} \\quad \\frac{\\partial f}{\\partial x_2}\n",
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"$$\n",
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"这两个偏导数构成了梯度向量:\n",
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"$$\n",
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"\\nabla f = \\left( \\frac{\\partial f}{\\partial x_1}, \\frac{\\partial f}{\\partial x_2} \\right)\n",
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"$$\n",
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"随后,代码将符号表达式转换为数值计算的 lambda 函数,便于在网格上计算函数值和梯度。\n",
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"\n",
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"### 3. 构建网格并计算函数值和梯度\n",
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"接下来,代码创建一个二维网格 $x_1$ 和 $x_2$,范围为 $[-2, 2]$。在此网格上,计算 $f(x_1, x_2)$ 的值 $f_f$ 以及梯度场 $V$。其中 $V$ 是由梯度向量的两个分量在网格点上组成的二维数组。\n",
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"\n",
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"### 4. 3D 可视化\n",
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"代码通过 `matplotlib` 绘制 3D 图像,以展示函数 $f(x_1, x_2)$ 的三维轮廓。使用线框图和等高线图在不同视角下展示函数形状。标签 $x_1$ 和 $x_2$ 用于指示两个变量,$f(x_1, x_2)$ 代表该函数的输出值。\n",
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"\n",
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"### 5. 2D 梯度场和等高线图\n",
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"代码还绘制了一个 2D 图,以展示 $f(x_1, x_2)$ 的等高线,并在此基础上叠加梯度矢量场。等高线图显示了 $f(x_1, x_2)$ 的不同水平面,而梯度矢量场使用箭头表示每个点上函数值的变化方向和大小。\n",
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"\n",
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"在 2D 图中,颜色映射用于表示函数值的大小,而箭头指示梯度的方向和大小。"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "9a0cab45-c24e-4d26-becd-5dc618fb3b48",
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"metadata": {},
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"outputs": [],
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"source": [
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"import sympy # 导入符号计算库 sympy\n",
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"import numpy as np # 导入数值计算库 numpy\n",
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"import matplotlib.pyplot as plt # 导入绘图库 matplotlib.pyplot\n",
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"from sympy.functions import exp # 从 sympy.functions 中导入指数函数 exp"
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]
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},
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{
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"cell_type": "markdown",
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"id": "22d51d10-7619-4cb5-930f-6f3bdb364aef",
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"metadata": {},
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"source": [
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"## 定义符号变量和函数"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "7196684e-3554-4e7b-afc9-b8a4357dd49e",
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"metadata": {},
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"outputs": [],
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"source": [
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"x1, x2 = sympy.symbols('x1 x2') # 定义符号变量 x1 和 x2"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "407c8658-4547-4797-9e50-4ead1737c869",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"$\\displaystyle x_{1} e^{- x_{1}^{2} - x_{2}^{2}}$"
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],
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"text/plain": [
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"x1*exp(-x1**2 - x2**2)"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"f_x = x1 * exp(-(x1**2 + x2**2)) # 定义函数 f(x) = x1 * exp(-(x1^2 + x2^2))\n",
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"f_x"
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]
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},
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{
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"cell_type": "markdown",
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"id": "06ffc8e5-4cd9-44a1-88ed-218c11c732fc",
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"metadata": {},
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"source": [
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"## 计算函数的梯度"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "07254ef4-363e-487a-ac93-bcdde24f26b6",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[-2*x1**2*exp(-x1**2 - x2**2) + exp(-x1**2 - x2**2),\n",
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" -2*x1*x2*exp(-x1**2 - x2**2)]"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"grad_f = [sympy.diff(f_x, var) for var in (x1, x2)] # 计算函数 f(x) 的梯度\n",
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"grad_f # 打印梯度"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "f6449d11-ee43-4a39-989a-77ae6fd6d422",
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"metadata": {},
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"outputs": [],
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"source": [
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"f_x_fcn = sympy.lambdify([x1, x2], f_x) # 将符号函数转换为 lambda 函数,便于数值计算"
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]
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},
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{
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"cell_type": "markdown",
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"id": "fd0ef4a4-a6b3-4a2a-a3ef-7e1bdcc0042b",
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"metadata": {},
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"source": [
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"## 将梯度转化为适用于 numpy 的双变量 lambda 函数"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "d4f041e3-f688-4b73-9511-7c0a1f30a078",
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"metadata": {},
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"outputs": [],
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"source": [
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"grad_fcn = sympy.lambdify([x1, x2], grad_f) # 将梯度转化为 lambda 函数"
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]
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},
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{
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"cell_type": "markdown",
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"id": "413cd1d9-0cd1-4ced-8667-ba3e896b3479",
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"metadata": {},
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"source": [
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"## 定义网格以便绘制图像"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "35543221-aa88-4f5e-a5ba-713d5c937794",
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"metadata": {},
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"outputs": [],
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"source": [
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"xx1, xx2 = np.meshgrid(np.linspace(-2, 2, 40), np.linspace(-2, 2, 40)) # 生成 40x40 的网格"
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]
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},
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{
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"cell_type": "markdown",
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"id": "764689c0-dac8-49e3-95de-50823252b345",
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"metadata": {},
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"source": [
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"## 生成粗略网格以便绘制梯度场"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "33d88e4d-497e-49ec-956c-7211fb2f68ce",
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"metadata": {},
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"outputs": [],
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"source": [
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"xx1_, xx2_ = np.meshgrid(np.linspace(-2, 2, 20), np.linspace(-2, 2, 20)) # 生成 20x20 的网格\n",
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"V = grad_fcn(xx1_, xx2_) # 计算网格上的梯度"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"id": "7f91123e-8c78-4e3f-82a3-81cec8f4958e",
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"metadata": {},
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"outputs": [],
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"source": [
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"ff_x = f_x_fcn(xx1, xx2) # 计算网格上函数的值"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "8e48e217-3dd6-4442-8d75-6f9d77a4d09a",
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"metadata": {},
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"outputs": [],
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"source": [
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"color_array = np.sqrt(V[0]**2 + V[1]**2) # 计算颜色数组用于梯度强度的可视化"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a23c78cd-7375-4b58-9221-61921a016c66",
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"metadata": {},
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"source": [
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"## 3D 可视化"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "e4c22d1d-73d0-48e9-9e06-cf6d96e2a7de",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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6Q0M8srRE1+enbrMTW1jgj/9//5S93/4qWGRcIyGWf+FnCc7PcP3aNYLBIJ/++Meh3UYp5Cju7HBzYxNntcxwfJ/9TpfhUoGqZwhXu0nZ68PdbqG6PThn53EvLFL2+wmOjeOVrXz5z/7X9EZDXPi5n6Tw9js00xksXYXpaJSn/vovYQ8F7vShFHyHPAgmJiGqAsEDhq7rbH7pD3jzlVdwZ/KQrhCslrE+eZ7E5CyXHnmIhSeeQpZlNjY2iMVirK2tYbfbOXv2LJubm8zOzrL/0us893f/EU21h+6w4X76Mg9/8hOMxibweDwDZiRN07hx4wabm5s8/uijhNBp7O7w2rXrDJXLVNIJJna2BsZmbZy/zEiuyepvf5PRxy5x7u/9NdqtFqWXXuPmtetY2i0m00Ue/+//O0JPP/7RH0jB98z9bGISoioQPED0SiWu/9N/xHuVKv56nZ7NiWVtH+vkBPaf+gLnzp1jfLzfMrBQKADgdDrJZDLY7XZyuRyqqhIKhXC73QQcLl7+pb/N2sY6mtOOZcjLzOVzLHzhM0wuLTI0NES9XieRSJBIJPD7/WiaRqfTYXR0lGAwiKIohMNh3nvhecZyGepvv0lzbRVF03nVPYrlm1dYvDzDpf/iz5Eei2JxOonqMr/1T/85La3HzOvv8eT/9j8x/Emxz3ovcTgdbLFY7puoVYiqQPCAUH3lJd78D7/G/pAfT6fN7IULeMJRdv7uP6S9OIvnxz6Hx+MhHA7jcDhIJBKMjIyQTCaJRsLImkomlSE45GYiGMBtldE0la1ckdR76xT/9R9Q20ugLMRQYxH8S7Oc/9THGFtepFqtcvbsWdLpNLlcDovFgizLTE1NkUqlmJmZQZIk1tbWmImMcfNf/BrX/59/T9VmQR0f4UmpjMtpBYeTzJNPM//UM4yfOcfX/s7/yX6rwfwb1/jYP/g7+C+dv9OHWfBdcD+amISoCgT3OdVqle3f/W02332Hlt2Bw+Xi3LM/QFHTicgWdv7q36IxP8WP/g9/mV42yf7ODvu5HL5GhUpPI9Yqo0gyJasTj6oQU+rkrS40oCNbGVK72HUVSdfZK/ZI71eo5RsoE2F0lxNvvU6o2aE3M0HI6SY4Oop1Ypyq04Z9yIPF5cQdDDBqc/Lev/j33Lh+DSlVQB9yY/N5CX3hU3g8NjxrN9AzGdztJntjE1x0Oxn6iT/Blf/we+zqPWbWd/n0//1/4JmbvtOHXPBdcj+ZmISoCgT3IaVSiVKpBIDbIvPu3/07WDotCucvc+4TnySXSXPOrlO/9i6vvrmFo9pg5EwExeVEBVqSBYsEF1t5XLpKD4mMfYgxi0be7qFrsZLDjlOCpqYRVRp4Og38St/hW8o22L6eZXNqBi0SwvHOOrbNOBKg+jxow350i4w67Md2fRtleRq510OuNtFlCfeZeZ753GdZ/InPU2+3qNVqNBoNIt02W3/0dbJrq+S8Pi5ur6NduMxuqkzWZmVhP8Ozv/bLWL3eO3fwBd8T94uJSQwpFwjuE4rFIuVyGYBms8nIyAhjY2Nc+df/iq4Ezdg0T6/M0Hv5y1RzOd6W7ZQtDmxuO45MEfnNbR764tMkfCOoXj+B0SjJRgvJasPrD3Dx3DlkWaa7v8/+/j6ToRCpVIroyAihUIhoNIrSbuGUYLSn4N3fJ7C1Qy+V4WBiBGe1ii1bQMrkkbJFlGaPTj5PdTaK1O6gBX2Meaw89NQFIp94hn2LC02W0DSNvb09QqEQN6p1oj/xU4TbbTa/9hU2Oy1GNzfwI6H0HGxNjxL9V7/G+b/w5+7slyH4rjGGoGuahqIo5hD0e83EJCJVgeAeRdd1crkc9XodgGAwSDAYNP9eqVS48d577H35D/HUq4Sd4HFZ2HAEGFMa1IOjRKdmqOoWev/gV5AzeSL/8RdJPfUIH/vYx8wUXCaT4cUXX2R0dJRQKISu65w9e5Zms0mpVMLr9ZJIJGi1WszMzBAOhykUCrzxxhucOXMGSZIol8tYrVZ6vR5Li4u41C69bIp2Os7q5hZaPoOzmKZic1G12An1OljRKHpDnJuexLlyATUSw+MdolqtMjo6SqVS4dVvfQvr7jbt7S30Rgc1WaZwfoE/9df+Cv6RkTvyvQi+f+5lE5MQVYHgHkLXdTKZDM1mE4BWq8Xw8DBjY2PH7rt39W1e+8M/wJnKUgwEGHWoMBQiOBGj7QsxObdAJpMhGo2y//qbJH/nS7RCfs5+/GkCly+av8FischDDz3EzZs3icfj/OAP/iB2e79Jw+LionmxSyaTXLlyhV6vh8fj4eMf/zhDQ0MAdLtd9vf3TSdxKBRifHyczc1NgsEgtVqNtZvXUWs1HvJaqMT3UTNJhpUGcfsQ090qCW+YpTNnaMycwTYxw1g0Si6X4+DggBFd4+3f/z0SpRqx166Sf/ZJ/uRf+i/xRsR0m3uVe9XEJERVILjL0TSNZDJJt9sFYHR0FI/n/RmjlUqFTCbD5OQkLpcLrd3ind/6d6zvH+BLZ4iHRpnyunBfehi7x0swGGRubo5er0exWGRiYgJd1/nq//73SB7ECSSzLP1HP8HCDzxDNpUgnkjitttB11iMjfLW+g5uh5P52CiybCFfrQESumyhrqjIdgfpfIknn3qKkUPRYjKZxO120+12uXLlCrVajampKVwuFz6fj6mpKdbX11EUhfPnz1MrFth++w38+QTJjVXC9QI1i51Ir0VuaITg0lnGn/wku20VVVVZWlzkrb/xN3mt0yZ69Qb1x87xEz/90wQuP/xRf2WC28i9ZmISoioQ3IX0ej1SqRSKogD9SM/v95s1pEfRdZ3V1VUK2xso19+k3NMJ9Nrs4mFpa4NLf+m/oTs9w3vvvUc4HGZxfo7d61dxKQ1axRzJYpmQpNL7xhvkNtK0h7xcPjeMujKFpOtYZfDKOhlFpqJKxLsybovOeZfKqFWnpEqUVYkZm8ZWV2bGofFex4HFZuPCaICG3UtJt5FodIlEInStTkrNNn6/n0AgwPz8vLl39sorr5hp5EQiQSqVIuj3003HUfY2Gd29ht6sk7B5CPXaSNFp5EtP0w5HWVlc4nc/++Okz80T0DqoTgc//OM/QejTP/CRfXeC28+9ZGISoioQ3CV0u10SiYTZaWZ8fBy73W7+vVar9Y1B0Sher/dYKtirKhR/7R/zrtWP5LAzNDlPMJ7A//JzDH/+c2xEIiy6JSr5LMlSjZYKT3sVEorMlF0jocjM2lV2v36D9Dv7VKKjKE+f5/LKOJrVhk7fSGKRdBqKRqWtoAM2CSZcFkZtGvFKkxBt7OikFZm8IpFUZGYdKitOjawC7zStXPSojDks7Fv9ePwB6nYvw5OzOEdjJLN54vE4wWCQixcvYrfbabVarK2t0ev1CA+HGO02aL7zCjevXWeiUyFp8zLqsdOYf4j8X//7JM8v4nvsPPl8Hn+zyqf/xE8Tevazd+ibFdwu7oVOTEJUBYI7SLvdJpVKmReKbreLx+MhGo2eeP9er8e1a9doNBqMjo4yPj6Ox+NBa7dI/sP/hdfbOj23n5Hzl3FLKqHN65RfeoOD6Wkco0HCNp2QRSfXk/DY7exqDibCwwz5A8hOF/Nzc2h2F+/+s1/l5to6creDb3qaR//szzE2NwvA1tYW8/PzdLtdnn/+eTweDxaLhWAwSDqdZmJiAqdFZizow6Z2UesVrt5cI5nL49B6xGw9JrUaVq1HT4fVlkxbl7FLOioS58eCJOxBgtFJOu4A02cuAJDL5cx93ccff7x/YVUVkm+8TGjjCvVOF6pNDq5k8PZ6OP7OX6fz1husZ3NMpxI88fN/htAPCGG917nbTUxCVAWCj5h6vU46nUaWZRwOB+Pj4wMr7kajQTKZJBwOEwgEaLVapNNpdF3HarWa99/b28NqtTI5OUnu1/8F39w66IvZ7BSBZpHNmgKqRjlTwd1q8vnPPIJ9YhqCo2zXuvQsdubm5qhWq7zzzjsEAgFUVUXXdVqtFs3VDdy/+tvYq3V6c9ME/rOfZ+rJx2m1WmbLQqfTSTKZxOv1srfXH+f2yCOP4L1VJ6rrOvF4nHa7TbvdJpfL4XK56Ha7REN+LO06Y1aNZiZBMplgRqsRV94/Fi0NqpKDkeFhmt5hum4/1WabSqXC2bNncTqdFItF0ukUWrnA2PX3yL++gdcGvk+fRz7/OI2dfa4XCpzd3ebyn/+LBJ75+Ef+nQtuL3eziUmIqkDwEVCr1cjlcgA4HA5arRYOh4NYLHbixaBUKrG7u0uj0SAWizE1NXViqqvdbrP60re48uabBHodOh4PUQfYZZjzWOmEp0h87QWKXZWJZz7GhZ/+GeLxOLlcziy/0TSNer1OKBQyy3Omp6cpFotoyTRr//Bf0M1m0TVo/+AzOBfmmZicZGJiwhw0/tZbbxGLxZBlma2tLTweD1NTUxSLRTweD41Gg0KhwOjoKLVajXQ6zZkzZ5iZmTE/i6IorF+7yrTHQmJrg5fX9ohIHSxotDW47O4RtoJlJMo1/MihUTyRcebnF+j1eqytrXHwR9+i8MYV7EEP0yG9n7IODFNVbexVGlzIJHjs7/5f2IKh2/0VC+4AR01MsizfcXEVoioQfEgUi0WKxSKyLOP1egmHwwM/+FarRTweJxAIMDIyMrA/GggEzJrQRCJBu91mamrK3GM1jEzNfIZXv/E1PEqbtt3JxYCVsysrbFuDuKMzOF0uEi88h+Xf/Qrl8CjqF3+aVDbL008+TjTkx9Zrs7u7y6TfSaVSodpoIukayVKNy2N+8vUmvXab5HNXSW8mqUyMEckV8D66zPS5aeYiPmSLlbVcAywW5iJ+DqodNjIVKm2FcCjIQ+fPkqk2WD53AdnmMI/N66+/TiwWIxaL4ff7yeVybGxscHBwgNPp5PLlyxQKeTy6wmivxv7GGvPdPLIE5V7fGCXZnfRGojgml4hEp/nDv/o/Mfbim/j+yl8iJ7Vgbx1np4VbU9hVnDSQeSLo59wv/bU7fvEV3B7uNhOTEFWB4DZSqVTM6S5ut5tGo4Hdbj8xIjWEsVQqUa1WmZubO3UvVdM0VldXKZfLjIyM4JAhlFrlG++sotbrBHodIivLTH7i86zvxc2Ve6tepZLLoL3xBlKphLIwy9RMhLbSQ5YkIi4rqWYPl0XGZ5exWmQ0XSdZ7+K0yASdVqb8dg6qXVLbWfi9F+llSihOB52lKSyPr2Af9uFzWJCQKLR7LASdLASdAMSrXd7NNZjw2rk86gGrHZxeVIebq6kqpXaPWkcFq43J6RmGhoYYGRmh2+3SbrdRFIW5uTl2dnawWq3USwViFoXc1k0OEkmGJJWuDhNqi/deOaCbq6JFhvniv/zHdFSVF7/1TWzpPfSdDTRFId61oksSX/jCF4g8+5kP92QQfKTcLSYmIaoCwfdJPp+nUqkgSRJ+v39gjii8H5H6fD4CgQCpVApN0445fPP5POVymeHhYYLBIKqqkkqlzPpUo/zkYHuT9utf42qhhQ2YLiZpyDZmfuY/5SC+338tu0zIqqH2FJ6OetjeSJF4+T1Uu51P/OgT2HweUh2JN1INurrE1NgIDqcLt8tFvtog4PdhdzjoaZAulgmPDNNTNYZ9Pg6+/hy5r3wTtdnC0uvRvHwWFqfxRkaIhYOsTI7hlFTotlDbTbZSOZrNFrvFBmMeK2GPjVpHxSZLFNsqyyEH+VaPbFtnZDjEmaUlLIEIDauLG+tbBAIBrFYrzWaTfD6Poig8+eST1KoVPI0S1Xde5eq/+SqutX2aU2MoP/AQl1ZmmH70Yygjk7z00kuELDrdV79JvFijqsg4JPiT//PfwuJyf9Sni+BD5G4wMQlRFQi+B45GpPV6HZfLRTQaPfYjbjabpNNpms0mzWaTWCx2akRar9fZ2Nig2Wzi9XpZWVnB4XCYf9c7LTpf+9f81k4Fu8WK5B9GPdjGqaucPT9PodlledhF2G1DUXW2Sm0yPStOr5fay2/SKJYJ+IYY/bk/gyLJVCoVHnvsMbO5xNDQkPnb293dRVEUJEmi0WiYjuO5uTmCDifrv/yv2Xz+JdpOO+PXN7FORil+/pM0I8MsrqwwPDxMIpEgGo0SCoVAU7ny5ptUykVWYqOcGfWRSqVwKA1ShQo2GRQdKh0VgIjbCnYXG1WVpy6dJzAxDb4Rsrk8N27c4Ny5c2Q3t6j+93+bcrWKFo1w5guPkO62yfUkZuway9Ew7cXHeDtTZTwcpvHGc2xdXaXqdBPz2Pj8X/6ryG7Pid+F4N7kTpuYhKgKBN8h5XKZQqGAJElmmvLwj7XZbJJIJPD5fLhcLvL5PNAX3dHRUfO+tVqNTCaDy+VifHycbDb7fq3pob3XarVqzh6dnJyk22yw9+V/x8vJKhN2mbrLy0PDNuLvrOLSe7TnFxjxD3F2YYZk18rrmwe0FI2hoSGsVivlfB599QaqqmLxBwhfvozNbmNhaoJOu4WMzkEyQ65UJjjk5cLSLGPDQUBnYy/BQmyMUq3Ou+u7lOsNJCQc6Lg39qm89g5qs4WsaSCB9vEnsM7P4oiEmZqZxmaz4ff7CYfD6LrOu+++y8HBAcPDw6RSKS5eOI/cbWLp1GkU8oxauxRLZRxWCasEdUXDYZHxuxzU7D6K6Trvru5Qq9XwJrI4fEOEfuQHsfuGmAwOkVm/jjUfp6eqrLhU4hY/1pkVtOEJUl/6A5rbm6TGojzstfDoL/7XWHyBj/p0EnzI3CkTkxBVgeADaLVaZh2p1Wql2+0SCAQIh8PH7mtEr41GA0VRGB0dPTFyVRSFVCpFo9GgVCqZHYUOR6TQ33NNp9O0Wi3yuSza1nusF2rM2TVqDjefnw9S6ahcf/smBezY55bBG6DZbKKqPTwuFz/8iadwyj3otnhndYtWJkvuhVdRkWhHx4ieWaSjqaiqhsNuRe3pLMdG0DSNbKVBqdFGUVQUTSPi82CxSIz4PHgcNrwOO29sxXHZ7Uiahm0vRfO5NygWapTHwyhuJ45GC3V0GJt/iJGgn4nZKdzTk7gDQQLDEV5/+x0qtRrT09NcvHgRSZJQFIUbN25QrZQJOqykEgeUSiWCWodyMo/txi5aroKj3qRrt1F+7Dwf+4nPM//Ux6i3u2Qymf5+Wq9D8r23aabiWHUFdJ3loIusa5ybL75GuJhna2mJT9haLP/CX8Y6LPoE328YUaskSTgcDiGqQlQFd4JOp2PuezqdTsbHxwd+jOVymVwux/DwMBaLxUwD+3w+hoeHzfs2m02SySQ2m43h4WGy2SyAWWtqs9mAvsEikUjQ6XTo9XrmqtpisTA6OorDbqP0/O/x++9sMGbV6DicYLNjcQ5R7qjEykliuX3i558iEB3FbQFZ65Gvt2m2u9RaHaqtLkNOO4vjw9hKRfa/9gKp4DBOnwf79BQ2h4OeqlJptBjxe7HIFnxuF/4hF6lCGb/XQ7neQlVVeqqKJEGn28Nlt+J1OZEkqDaatDsKNFs041nUfJnRN67ibLRRrRYq0QjNoB9Lr8e4puGcGqUeCWH3edmXrOjI2CUJvyTjUVT0Rotiu42tWkerN+im0ljrLTSbFWevx+xchNGnV7hm99DTNYIuO2PjUayRSW4ky8hWKxMTE2TTKWylFOndLRSlx6xdJXPtgJzDzaTXwg2Hj89RYfIX/7/YwscHEwjufSRJGuhO9qG+lhBVgeB9YVMUhU6ng8ViIRaL4XYfN7LU63Wy2SzVahVd1xkfHz9xSoxRm9rr9ajVaqbR6HCTeSNq7fV6QD9V3Gq1zNX1qFVh793XeWkrg48eHo8LWzDCpQtn2N3bx2uTuHF1lUq7i9NuIzAWwW61UGm08buddNS+IaqlqLhdDjrdHqqm063VYXcXd7OBzecj9PQTVLo9PC4nzVb7VmmChV5PpVpvMBL0I1tkLJIFi0XCIstkCiW8Hje9Xo+u0sNYd+i6TqFcBV2n11WQugpSu41crqEXK+j1Jm2fl67XhSdfJhBPI6sa3lyR9pCHysQosqrhS+fwFCsoTgfVyDA9l4Np7xCdZ5+hPhJC1TWGPQ78lh6VXJZqvYFF0tGBEbeDRNfCo488wsTZyxzEEzjtNg7eeons9jq9rTgV3cLozAR6p8leV+eHnT3G/4u/jux0fSjnmODOYaSAPwqEqAoeWHRdJ5vN0mg0kCSJaDRqpmB1XSeZTNJqtZicnDT/H8Dj8RCJRAb2SLPZLDabjaGhIUqlEsCJtanlcpl4PE61WsXlcjE8PDwQtUK/o1I2m4XUBtdWN0g1urjVHpN2laovTEvVsFstVJsdQMKORrdQYEhTcM3OoztdqDrMxqKMjgzj93lJ54vMzUyDJKMjsbl3QFTX2Pvf/w69chlrIIj2p/8sZ556EiSJcqVKJpvDbrcxPjaK0+EAXQf6l4tqpUqn0yESHgZdR0JH1zR0tUexVMJhs+L3urm+vs3E6DDFSp1CqUyj1aZWqlDMF7E126jtDk1FQVV6aDL4m12GNQXZ5aDu9dBz2Ag47QwPudlVdeweN+NjEaanpim1VbKlKgsLCzQaDRaiYXbefQNPM4/cbZBrKqwW2iyOeJmYWyJvC5AqlAn7h3jn3/4qzkqFxuwk026ZZKVNT9P4/GyU4Z//i6KG9T5DiCpCVAUfHoYI1mo13G73wEzQw/R6PRKJBOl0GkmSOHPmjDkf9DBG5KooCu12G6/Xy9DQkCmouq5TKBSoVqsApsmpXq+Tz+dRVZVisYiu6zidToYDPmL1Xb7+1k32Kx2GnDbsrQZ1XUZ1ewl6nJQaHcaGAyzOThMeHSXzja/gW7uCbXyS6ud+hsnpaWSrDSSZeDxOOBweWDDs7OwwNzeHksty8L/8TZqJA8qBEGe/+FMEf/CHkCQJVVV58cUXefLJJ4/t9xr9fw+jaRrdbpdkMsnKygrQ32duNuqMj46CroGmUioW6bSbjI8EQVPptJoUyxVubO6iI1EoV/oCrWlYZAmrDKVqHbvVgtthxe92omo6Hocdh8NOotyk1GwzMhwmOBKm0WjQrlcYtmrEkyk0VSXstuJzWHEHhml5wzj+wd8n6RnC/eRlUvUmPq1HttnDoyt87tOfYuiTP3w7TjXBXYIQVYSoCm4viqKQSCRQVRWv12tGmkYNqdfrZXx8fGDyiyzLTExMYLPZ0HXdLIsJBAK43W5SqRRwPHKF/vm7ublpppJnZ2cHzE1GNKrrOlaLTDQyjFXrEd/b4uD6Va6mKnRVHbfDhqzrBPQ2DoeDpcefxjcySq3ZYn5hCSSJra0tZiIjFP+vv4beblH42I9w5vM/br7W9vY2c3Nz5v/n83nTjQugNhq8/ff/Hq6338Ci63gfeYzx//z/Tc/hIJ/PU6/XmZubM/ekut0u6XSaqampgWOsaRqFQgFd14nFYubta2trLC0tIUkSmqaxvr5uii7Qj4B1jV63zf7eHnNTMSStB6pCLpfj1SvX8Q15UHs9DtIZLBIEPE5CHgceh42Q18Wo38Mfv7eL2+1kfnaa8Pg0W9kiQz4/jdQ++xurdBpVfA4rqVoH7+vvEC3lsf6N/5lWepfd1Zu0uwpKp8u42uYHfvG/xB6dvg1nnuBuQIgqQlQF3z+GQCaTSXw+HzMzM1it1hPvm0ql2NzcxO12s7y8bDaEP4yqqiQSCcrlMp1Oh1AoRDQaxeV6fw+uUChQqVQACIfDDA0NoSgK2WyWYrFo9tZ12O2M+L3YJI1cLke300HrNNjc2Sff7OG0wJnJUSLRGPPdAjdX19CiC5z73E+SzWZNYdd1ne3tbebn52m+8g0yX/4Nug4P8//Zf4t1ZNTcsz0sgEdFFvqRZ3D1Otl/86/Qez0sgSC9n/k5Vj79LJIksba2xvz8PDabje3tbWZmZo51rNE0jbW1Nc6ePTtwAet0OiSTSWZnZ9nc3GR6evrUC9zGxgYLCwtmSVEqmWRpYf59kc1kQFPIZPPsxJM0m026ioLa62GzyJyPhSnUm7QUlZDXhdXlJVlucv7SZWrlIvGNVeyVPBvxAk6ly9mHFilbfUxOTZN851UO8lVUVeO8S+Kpv/w/IEl332gxwXePEFWEqAq+d4wyGIBIJILH42F/fx9VVZmensZisQB9kYzH42b0Gg73U4fpdHqgtWA+n6dWqw1ErtAX7VQqRbFYpFqt4vV6icVi/UYHtzBSwwB+3xARvxe13SCZTKD2eqi9HkqrxtpugkSujEXS+MxsCP+ZR2m7QthsNvIvfYVGJs7lx5/EcvlTA6nXRCJBKBTC5XKhqyrv/ZP/ndHkJtbwOMH/7JfYT2eYnJw0P/Ph1K/BYeFt7+6Q+L/+Lt34AdlAiMVLl4n83J9B9vlYW1tjYWGBg4ODY6JsHPdkMsnCwsKxC9j29jZerxdN0040dRm0220ymQxOp5N2u8309PFocWNjg8WFBVC70Osi9TpUyyWurW6wvruPzSJjlXQcFguSLOFxWLFbbZxfWcIbHuflf/TL5JMJbEE/1tkJFgIOrha7PPvkY1y98i77u/uULU4+MzPMmZ/9RSTLyQsxwb2DEFWEqAq+OzRNY39//9QyGOjvke7v79NsNnE6nVhvlVyc9GOrVqtcu3YNXdeZn58/JgSGIPd6PVOQK5UK5XKZXq9npkHdbjfjo2HcskYqmaDZbKFqGnablUajSSGXo9pqI6Mzatd5fNRFPrxCZPkSN27cwOfzYc3HCa29iGs4Qu3pP4GmaWYrxMMCq+s6m9ffI/iHv4JWK2NfuUThyc8zv7Bgvu9MJoPH4xmIxHd3d4nFYmYUr3U6HPyr/4fEKy8RrFeR3R7CP/On8H/mc7z2xhs89NBDA9G5webmJtFoFI/Hc+yYqqrK888/z6c//elv+12+8sorzM3NMTo6euLft7e3mZqaGsw66DpoPTbW1lianqBYyHHtxk1q1Rqlao22ouBx2OlWqjg3twAZ98eeIRD09aNnr4VcSyXkdpBKF5GadfIOLx+fDHHxp/4MNvfxzIXg3uGjFFWxBBPc0ximI6MOrdVqDdSKGvR6PeLxOLquE4lEqNVqSJJkRnDwfrq40WjgcDh46qmngL4QbW9vI0kSTqeTZrOJxWI5FrV2u11T1B9//HEseo96Pk0isU+u1yMaGaZqt6PoFnLpBK1qCZtVIhYeZsjl4KKlzFYTplcu8fIrr3L+/HlCoRCb3TYuiwSlLIXEAQvnLwL9fdnDJT/pdJqJuQVs//Gfp/TL/xvVtWvgDcEhUTVaDR5G07QBgZIdDtTP/CCXPvUpsv/8n9Le3iLzL/4Z5W98naEf/jGSyeSJJiVJkk5tYp5OpxkfH6fT6RwzPR3G6H38QUxNTXFwcMDs7Oz7N0oSWGxEJiZJ19uMTi3x8dg89Dp06xWee/EVWtUy7VSWsteHMzyMTWmhti18/tMf4+3rm9h7RUYcEBjz8u5+l6VmntcTEtb/8M/wPfU5ZpbOCFew4NsiIlXBPYdRU9rtdgdMR9AXNyPVOzMzQ6VSoVgsmlHpYfFQFIWDgwN6vZ4psJFI5Nh+qhGVdrtder2eKQo2m41gMGimd409VKnXIb23Tbfdwud1E/QPcXM3SbHRQUJHqxfxWaHcaDEcHsMSGGWhuspOpoRz6ixZ3cHU1BTDw8Mkk0n8fj/Ol3+bVmqP0vzjTD7zWaAfpc7NzZmf/fBeaevtl7n5+7/OhFLH++yP4nn2x05M/Xa7/Q5Ek5OTA5/ZeC5dVSn/8dfJ/uqvoLSalL0+gvPzDH32h5h67DHz/nt7e4yNjaHrOi6X61hUsL6+zuLiIpubmywuLp76vRompo2NjVPvB3zg30/6W09ReO1//Vt43niV6tIy+seeYjedp9vrEXA7cdltNLo9ur0eIYtKJ5slq8i4bRJ12cbTox6q05dYXF5hfHz81PcluDsRkapAcAL1ep1MJkM+n2dxcfGYEEC/c8rk5CS7u7u8/PLLhEIhzpw5OcKo1+vouo7dbjf7hHY6HVNUjf1VWZaJxWIDP8pKpUI6nSaXyxEIBJAkiUwmzY133kLWFEaCAWRZ4uZeCsleYiQcYcTewtPMsl9RaCNz7qHHKSkwZlPZ2yzR0mXC08s083kzWms2m0SjUbTJJZL7B8wWttE1DSQJ6dY/0F8gHF4wuB5+GmciifTaV2n88e+j61A98+gxQUgmk8eOY7PZNNO7ksVC8LOfZ+iJp3nv3/wrAs9/E/nKW+xtb9P5+hwTP/lTOJfPmJ2gjIk6h8lkMubCx7jPSd1tNjc3WbgVVbtcLprN5onNN6C/gMnlcie2i3Q4HAOPVZsNEv/w79PY3MBrtfLYX/xLuKam+GS3yWsvvkA2m6FUbyAjIUnQlO2EfR46uTI6TjwyXM3W+Y9G9+k4L7G2tsbo6CiBQODE9yZ4sBGRquCuxmi60G638Xg8ZmN6o63fYRdqs9kklUohSRKxWMxMBycSif7e5i1BMR4bDAYHTEUApVKJ3d1dms0mkUjEdKIa5HI5qtUqPp/PvKArikJ8Zwub1mE2OooObKUK6HYX0YkY+/v7/VrV7Rv4HTI+nw/v1Aq1toLL5SJ9/U30/AGXzp1lzzNFKBQyS3aGhobwer30mnV2f/2fMGNpIz/1oyQdIUZGRnA6+3NLd3d3BwxJxt6ue/Ut6l/5jf57f/jTnP3Jnx34PCc5gbe3t5mdnT22ENne3ibmcZP/zf9A+blvkg4OM1bI0Vo+y9jTzxB55mOoDuexSHV9fZ2lpSWgH41ubW0diyTT6bTZztH43j8oqoXBiFTTNJLJJJ1Ox0zjj4+P09rfJf9bv4lSLqHYbXif/Swf+9n/2PxsxWIRTe0x4nGwfvVt3rqxSrnWwqKpuKsF2lYXVo+TaruHR4ZPrkzheuRZqtUqzWaTxcVFcX26BxBGJYSoPui0Wi12dnZM09FJxhhFUdjb20NRFOx2uzn15aSotFKpcO3aNWw2GxcuXDj2fIaT19iT9fv9puvXeLzD4SAWi5nnY7fb5WB/H4feZW4shCRJ7KZytLARm+6Xjxh7hPVcksfGXcRLdbxzl2l2e+RyOdxuN93cARfVFL1AlE1nzNyvPBy57e7uEq3Gka8+Bx4fu+c/x8Likvn+j4rj4f9vvvg1ql/5dVI2D/MXLjP0Yz+HZLXS6XTIZrOnpn4Pc/S+3VSK9O/8JjtX30VXVUZLBbBYcF24ROiTnyb41DNYXC6zL/LhfdKdnZ2ByL/dbpNIJI7t025ubjI3N3fqPu3Ozg6KomCxWMyOWMYiY2NtDc/rr5D7rV8HTcMeGWXqv/7v2NMxo+RYLIbT6RxMF6sqN996me21Vbb2ksi6ztjYMN1Wg1JLxWPR+eLTDyFd+ASKolAsFgGYnZ0d2J8X3F0IUUWI6oOI0TbQmE0qyzKNRoPZ2dkTayKN/VDDPDQ6OnrsXDFSuFarlcnJSbNmUpZlJicnkWXZ3C+NRqMD6cbDrQojkQjNZpNWq99UPpvNYrFYiPpdWNAoVuvU2grDo1Fki4V0Os38/Hz/HN7d5oK3zU66iH9ykYNKh0qlwqVLl8hms0QsCkO7r7PZcRD9+I9is9lIp9N4PB6GhobQdb3v8p2ZRv29f0StVqOz9ARjT30G6P9WOp2OGTkfrl012Pra7+N48Q+xayq2mSX8P/uL7OcKA9Et9KP9SqVyLE18NBI22Lx2jeq7Vwi88xad3R3zdtnhwPfEUxSXznDhU5/GeqgTlaZpbG9vmwuGmzdvsrKycmwxZHRnmpmZOXau1Go14vE4FovFjIIBOskExT/+I1LPP0e9XsPfqBN89jNM/MIvYnF7zD1ql8tFPB43hxhMTk6aaf9KpUIjn6X3T/4mbzrDZEcm+n2MO13QelhkiU8/cpbYYz+A+1aZ0M7ODg6Hg8nJSWFmugsRoooQ1QcJRVGIx+NomkYkEhloBdjr9djZ2SEYDDIyMmLWQp60z5lOp6ndGiPWaDQoFounRq/dbpcrV66gqiqzs7MDImJErcZ+piG0uq4Tj8dRFIXpqSmcvQZqu87WQYrA+CTBkVFKpRKFQoG5uTmzxGbF02V9c4eubEMPxugqCufPn6fVapHL5Zj2OVDf/SOSio3YZ34aGIxSD6eBtc132Hzuy8y6LFh/5M8h+ULHIstsNovL5Ro4jtvb20z0GlT//T9D77SQgyOUPv1FFh9+32xk3O+01O9Jtanb29uoqsr8/Dyd+AHlF56j8epLKOk0LbuDrtWGv9XANTeP9+JlvBcv4Tl7nr1be7mJRIJwOIzHc/Kg8JNMR6lUim63y/T0NJubm8xGxym/9CLFb3yN5s0b5v3y0RiP/NyfJvDMxwe+26Np5UKhwNWrV3n00UfNY3bz9VcY+o1/jOT2kvzsT2Nrlbi6dUCu1MCGitti4cLCBN6pJVz+IMhW2u02zWaT2dnZb+tgFny0CFFFiOqDgCFA+Xyehx9++ANHM21tbZFMJpmammJqaurUaMAof3G5XJw/f/5YByVVVTk4OEDTNCYnJ7HZbOYcVOhHUQDj4+MDF/p8Pk+pVCIWi+FyOrF262QS+7Q6XSYXz6JZ7Ozv7+N0OhkdHTVHx1m0LvvX3mLY52H20U+yuRdnYWEBWZZNR6zUabDz9V9nIeRCfeKnyBZLOJ1O87w3alF1XSeXy7H5td8i0imB14/80GfIFAoDi4JUKsXY2BiSJBEOh3E6nRwcHDAzM0Mvm6L8K3+fdrlA2THE/A/9JM6Hnz7RQWzQarUolUpEo9GB2w038eTkpPn83W4Xp9NJb2+Hq1//OoHrV+nEDwYeJ1mtOJeWSc/MEx4bJzo+hsXjxeLx9P/t9SI7nUiSRKlUQlVVRkZGUNttVt9+C0+ribtc6kelqTS1g32GquX+k8syQw89TOjZz1Ien2A8FjtWwnNSWnl7exuLxWIusjLvvkXu3/9TwqEQY//t3+aFF17g/EyU/No7fOWtVVq6xJBF5tG5UdTAGOfOnmMoMg4WG7lcjkKhwMzMjJmOFtxZhKgiRPV+RdM0MyoN+P0EgkFUVWV7e5vh4eEB49Dhfc5gMEggEGB3dxen0zlwgT8cWUYiEXw+H6qqmgYhQ4SPiulhSqUSuVwOp9OJqqoYPwuXy0WtViMcDhMMBgFQKnnieztMjI7gHB6npUqmuCiKwtra2vuRYqtCVK7jC46wpXjx+/0MDQ2RSqXweDz4fD5qtRrtN79C1N6jt/JxNkptM0rd29ujVCqZfXq73S5T4RC2P/5VaDcohqaxP/UFArfeG7wvjJrWb4G4t7eH3+9namoKl8uF1qxz/Vf+CeGDVWTAcf4Rhn7852lp/bTq0UYXp7UlzGQyuN1uhoaGSCQSDA0NmXvb3W6XcrnMxMQESrFI/eo71N97l9rVd1BulSCtTU6zGN9HPukSJMum0GaCw4TyORK6TrhUwKaqA3fNBkJMej2Env0MwU/9ALZbUaKRlj26V9tut8lmswOtG43GIBMTE+zs7OArJNn70m8yPxEl8uf/KqVSif39faLj4+Rf/Sr7G9tcVWzIksxPnYuQdY/S6cHo2BhW9xC6ZDEnFz3yyCMiJXyHEaKKENX7jXq9TjweN80+rluRiK7rfREDc3KMkRbUNI3x8fFjZRW1Wo1UKsX4+DilUunE/VADRVF466230DSNS5cuHUszGg31A4HAQHmGEYV1Op1+C8BbP5NCPofcqRMZDqLZ3FRaXer1OmNjY8iyTKVSYXp6Gr/fTy6XQ67lmbQ1KepO8rKfWCyGoijs7++bF/uNjQ2WLVUsqXVSjgiV4Ix5Ea7X61y8eNF8X2b9aD6J+vVfYaepMXfuIvITP4wkSRSLRSRJMhcAxmNmZ2dNF3U4HCaXzTKW2KDxjd8FTUX2BSl+7EdYfOrj31Xq9/Dta2trTE9P43K52NnZOXH6j67rdDNp9l59hc7WJtV6nUititqoozbq9Op1OCKaqdAImiQRLeSweDw4ohM4xqM4JmI4xqNk7U5mH3nk25bpfLvbD/cdXvuX/4CDrQ1mz11k/mf+U6DvYvZ6veiqQuFLv0qnq/Buz0GxA2dG3CyfP0+lrTIS8jM7OwfuAK1u/7sOhUInlv8IPhpEnargvsCY7NJqtXC5XNjtdrxeLzabDVVVTdemxWJB0zRzFulrr73GuXPnjpW7GHg8HhwOBzdu3MDv97O4uHjMQKPrOgcHByiKwiOPPILFYiEej5NOp4lEIrhcLvb29nA4HMfKZoyodWZmxrxQ93o9tre3OTc/RdAho1rs7JdaDLt1Lly4ALwvXkNDQ9RqNVqtFvNBL1qtQTxfZeHhc0Df9GMIav5WTWoq36FTbpNo7HDhcw/j9QfRNI3d3V3zffV6PTNalEaiyE//GHzjd9E330GTLciPfY5yuTwgdMZiQJIkJiYmAIjH4+Tyeaaf+Sz2+RWqv/7LqIUs9a//NvX8Pp7P/iSyq7/4OFyzehijg9JhxsfHSaVSTExM4HA4TozOJEnCMTYOZ89z4Se+yPr6OguHxFfXdfRuB7VeR2006FQrqHt72N1eVh5+CIvPf+x5farK3t7eicI/MjLSN4NFIgO3e71eszTKYGxsjHQ6Tdgu47n5Jos6bLiHCd+63/j4OLVaDavdSW8kRjS/TTfgo632eDfbpPzWu1w4u0S32+X5l17B6/UwHI4wGo6iqCqrq6siJfwAIEYwCG47nU6H7e1ttre38fv9zM3NMT4+bnb/2draQtN1eqqKpmmUSiW2t7cpl8ssLS3x8Y9/nE6nw87ODocTKaqqsru7y87ODuPj4zzxxBMsLCywu7trDhCHfkODzc1NwuGwOVlFlmWmpqaYn59nd3eX1157DVmWB0xMqqqyublJr9djaWnJFFSjdnVhfh6/s7/a3UpkcTgcZhp6e3vb7KjU6XTIZDL9tLPaYT1ZYH623xi+UCiYUWQymWRtbY1yuYw3Ok04FGIpYMefXQf69bSGEBr3P/z/Fd8YwUc+CYC+/hbam1/naOKpWCweM82oqsrDDz/M7u4uNbef4J//a6iXnsal9Wi9/hyFv/fXaL/zqrkoOqkBfjKZPLbH6vV66Xa77O7uHhsLd5jDzxmLxUgkEubfJElCdjixDY/gnJomabFx+Ye+gCMWO1FQAXNRdhKBQMCcGnSY0dFRMpnMwG1DQ0PU63Vq3/xD0HU8yxc4//iTJJNJksmk+fdIJELswsOsdyxcUotYR+f4RMxLs9vj7WtrbG1tMxwMEAn6aVZLtHJx6sUcVouFt99++9h5Lbi/EJGq4LaRy+UolUrU63UuX758Yn3hyMgIvlsTT4xORsFg0IwWdV1HvZX2bbfbrK+vMzo6atYDHt0PtVqtzM/PU6/XefPNN7FarSwsLBy74EO/VCKbzTI/P4/b7TZdx6qq0mq1sNvtzM3NDUS9A9GsqiBpPW7uHBCeWcZ7yym6s7NjCqqxj7e8vAxAOl8i7HNjtTtodjrm56nValgsFi5evGg6Tre8k6xoTchuo4WnURRlwGRjdC0yKJVKzF16Cs3rRnvlD2jcfANnrIl+qHVhpVI5FsGpqordbmdhYYFsNstuIon+8CeYe/gp6n/wq6i5NNXf+OfY3n4J9aFPIUnHI8But3tiD99oNMp77733gXuI1WrVFFW32z0gqocxxNlY/KRSqRO/V4BgMEixWDwxu2Gz2VAUZeDYGX2KNU0bOE9dukru7VdxA0M/8GM4xsaoVqu4XC7W19eJxWIcHBwwuXiOuTf+iLcKVZ762BQvrms8LsfZKLX6bTElnXIwTCQ8zM5BHP+Qh3PLiyxMx2j2dNbW1ohGo2Jr6z5ERKqC7wtFUdjZ2WFrawu73c7S0pLZ4/Wk6EFVVZLJJFarFUVR8Hq9hEKhftSq60iShNViwSLLWK1WbDYb6+v9yG12dvbEfZFKpUIqlWJ+fp6JiQnTtHT4PW5ubtJut1lcXDT3Xm02G7FYDFVVCYVC2O129vb22N7eJp1Oc/PmTcLhsCkAWqfBjc1dZmZmBgR1ZGTEFMbD+3LlcpnddJFSvcXO7i7vvfcely5dYm5ujtnZWRRFMR/X6/WwDIVQx/qlHt3VV3Ee+qxH2xAeRp6/hPzED5NVZMKJ62gv/g662jvxvkcjpEgkwsTERL/mc3qB0F/4G3g+8xNgtVHe2UT9vX9N9Xd/BdVw136b92I0iDCaZhwlmUweq4EdHh4mn88P3FYoFHA6neYeuNfrpdFonPicxnMYC6+jRKNRrl69Si6Xo1Kp0G63TcPa/v6+eT9dVXG88IcUJBuOhbM4ZvrfhdPZ7xI1OzvL7u4u1WoVXdcZm5ohYNW5ubrGk5/6DO3QFLMBJ34r1OpN2pU88XiC2Mw8wYCf5159i2tvv056Zw271cLe3h5ra2siar3PEEYlwfdELpejXC6bc0eP7mn2ej02NzeZmprC7XafWl9aLBYpFovMz8+b0YN6y4kpyTKxiQlki4VWq8X+/j6xWMy80BomI5/PNzB55XDTBqvViqZpJ7pXjdc+2g2nXC6zt7c3cN51Oh2KqQOmRofRnUNYXV7T/Wp8lkwmQzAYNNPG2WyWxxZjeBtpOpKdTcVrTlbJ5/NYrVazf6w5fg0d65UvsZ0pMr1yDn3hcfPvh5sv1Go103RksPXyHzO98xroGtLoNN0nfoRirTGQMjYczodrWNvtttk9ypiFqhZzXP+tf8vo7jUkAJsd95PP4v7E59nP5AZGxRkYDfHPnDnD9va2Ga0f/l42NjYGmjUYHK5HbbfbxOPxY0aieDzO8PDwiXu80E/BG/NyjSYfxt59vV5nenqabrdLp9Oh2+2i6zqJRILx8XGcTifuV79O8/VvkXT4Of+f/he4ZxbM923UthqfodFocF6u0X3zG6z7Z3CcfQKfz0d99U1K6ThtXaZlcWK1WnB7h5CGRogEfUhKG1mC2ckJGthIF2vUGw2mp6cHzGWC24swKgnuSozxaYapSFVVIpHIie3ZrFYrKysrXLt2jW63SyQSGZioYhAKhRgaGmJ9fZ2xsbG+2FgsptAZje5dLhfLy8scHByQzWZRVfVEkxH0U3s+n496vY6qqlitVnq9nil2hrN3aGjo2IXbqC+9dOmSeVu9XiedTvOpJx9F1hRaVg/b8f6+4PDwMFarlXw+z9DQECMjI0A/Ijt79iyy24XeSLOXSDJz6WPmc5bL5YHXNt4ngLrwGFrmq1gzW/S8w+hj8/2a10PHOZfLDYw+6/V62GILyLOzaM//Bnpmj+SX/y3TP/SzA5/PKA86TCaTIRaLMTExwdraGnNzc9hDYbzP/ihB+YdofO23UfY3ab7wFVpvPE/zwtPIo2E4IqrGnFroR46FQmFgP/ekfVgDj8dDvV7H4/Gwvb3NmTNnjt1nYmKCra2tE928xt9fe+01IpEIdrudqakp85gVCgV6vZ75/RgYxrn2N3+fjStvoNu8DH/mR0mpEkYhjmGmM1LIS0tLvPXWW+w2FSYkCNPFEQ6TzWbRwrPMaE020gVGXFbakoVWvUbYbiFX0pmYnKRVyvH8G1dYnJ5kcSKK7pkhlc0fmzokuDcR6V/Bt6VQKLC1tUUikSAWizE3N0c4HGZ5eZlUKnUs7WZEAFtbW4yPjzM5OWmOVzsJY57n2toabreb6ZkZtFtialzQDgtsp9NBURSCweCx5zRa4NVqNZaXl1leXmZ2dpZ0Os3W1hb5fJ6NjQ0mJyePldBsb2/jdDoHIrtqtUo2m2VhYQFN7l+g89ksfr+fsbGx/gW53aZer5sXbCMaGhoaAouVmuTCYbPiaPSNMaVSaSAqMaa4GGR7NoYX+o5iy/abtLPxE/cvD392o8RIHp/F8tmfB5cXvV6Br/5LtPTu6V8uDDixl5eX2dnZIXvrM9pnlgj8wn+H/+f+IpbRCdqdDvqVlyj8nf8PtT/8NdRibuBzGBmDkZGRgZSurus0Go1jY/UMjD3Tzc1NM2tx2uc9KblWqVTY2dlheHiYhYWFAUGF09PD4ZER9r/8W6ivfoMJpcGFH/9pJh57hkQiMbCFMT09PZAqvnTpEm2Lg422jL/bHy945swZJIuFwvAcZyMeGtUKofAYPq+HcrVGmDp7u7tojiE+8alnKdXqvPz622y99xbNcgGl2+W1114zG5EI7k2EqApOpNvtsrOzw/Xr1ykUCszPzzM9PT2Q8pMkibm5OTPVpiiK6foNhULMz88zPDxMOBwmHA6ztraGeqgGsd1us7m5SSaTYW5ujscffxyHw8Hm5qZpWOrdasSQTqfZveX6XVlZ4cyZM/09y91d8yKby+XY3t5mcnJyICIynL82m42DgwMsFsuxPdfV1VWi0eiA2JXL5b4Z6JbRR5cs5EsV0N6PeHRdZ29vb6A/7e7u7uD/13SmRvxYmyWkbvNYBFev1wfSsbVajaHlR9CGJ5F0jezbzzEeej8VfdJItMNGHCk0hvTZPw1DQeg00b7xb9FuvEar1TpWzqHf2sc+/J0uLS2xtrZmvidJknCsXCL0F/46zU/+OKOhEHq3Q+uVb1D4P/8qlV/7xygH28eea3x83HRlGwuy05AkyTwOHzTEPBqNDji9Afb396nVaqysrBAIBKhWqyc+VpblgfOvm9on9w//Jp3rb6EBgS/+J3ge/yRut5uHHnoIp9PJ1tYWu7u7pqnJEFmr1YrT6WTarrHV0BkeHiYej3P+/Hk62Kh6J7gYcZHd2yI0fw6bw0ml3sTTKWGTdF54/W3sgQizszN0lR6xoIszsTAXzp0ll8sNlFIJ7i3EnqrAxBiZ1Wg0sNlsTExMYLFYKBaLVKvVExubQz9K2Nvbo9ls8uijj55qYjFKVsLhMMVi0WwEcVJfXmN/zNjvm5iYwH/rPNA0DfXWxa3dbrO1tWU2RT/J/WmI/cTEhBkpGSPcjOYTi4uLA3uuxWKRer0+UBpSLxepZQ6YiUXpuEdAksznNYTA6KJjiHOpVKLX6zEh1bC2ShR7NqqeMTMybTQaVCoVcxFgpNhnZmZA7WG9+nW2E2nmxsP0LvwA2F3H+vOeNHw8lUrh83hwvvct9J33ANgPzDD1mS9idb6/J5nJZPB4PMciyK2tLbrd7rFG98Zrdzdv0Hrpa3Q3+712SxYHrkiUwKVHGXrkGRz+/udfW1szjWsn7aUa6LrO6uoqdrv9WAekoxj7r4YBLRaLmQsAY/jASSlio0H/VHSc6h/9DvXnvwKaRs/ppv2xL7Dygz9y4uu022329/fNRYuRdu8cbLD1B/+W2dFhUpd/mFKpxKVLl7Barbz0wvNMljdxShpbzijh6QUKW9cYskk0exqe6DyKLhMeGaFRLpBJHhAJBViam0H3hGgqGnt7e8zOzoq61tvAR7mnKiJVAY1Gg/fee4+NjQ28Xi/z8/MD6bNQqD+7c3193YwKD6d4u90uFy9e5NKlS/0a1FNqBpvNJhaLhe3tbYLB4KkTPQzz09tvv00ulzMdu6qmoes6sixjtViQ6Kem3W434XCYcrl87LULhQL7+/ssLS0NCEc4HMbv96PrOjabjd3dXcrlMtAX3FarNSCo7XabdK7AzOQEEjqy2jFTpIagqqpKtVodiHbz+TzhcBjFH0UHcpkUY773L5LpdHrADTtQm2qxUp5+BLfHg9SuYb3+TVA6wGDq96TmBq1WC4/Ph/z0jyI/+oMgyWiZffjqv0QvvB/pNZvNY4JqNOtYWFhgY2PDvL1SqTA0NNSPXBfPEfhP/itCf/Fv4HzoaRpWB87UDu2v/Dq5v/2XKfzKP6B14x2mJ2O8+eabJw6UP4whINqt7/iDcLvdxONxs3TpcJT/QSlim8VCY+smmb/7V6h/60ugabguPMbkf/O3sMwuH7u/sc/rdDpZWloiEomwu7trpmctrb7DWXV4zFrs1157DYAnn36GnGOESldlXCmgajrO0WnsLjeSpmEtJ/A6HaxvbDA0HOGZT38Wi83B869fYev6u6QPdrDb7Vy7do14PP6Bx0NwdyEi1QeUXq9HIpFAVVVcLheRSMR0657mrjTSpA6Hoz/2LBo9dl/D9Ts3N2cag8rlMvl8Hq/Xa5anpFIpdF0/Zlzpdrvs7+/jdruJRqPk83mq1aoZmUn0i/0bjQbxeLzfxvCWG9go7zF6CBtmpJPawyUSCaxW64BrOJ/Ps7+/j6ZpLC4umv12jc+0vLyMTWlgVZrUFTgoNQbMQpubmwNO4kwmg8vlMs/fTmKNRi5JNDJMe+wsqi4d6wR00lzU2bERbNf+GElp0XT4yUbOMTE1fepjTrpNy+yx/fXfZoYGSDLy5U8inX3qWIQL/TKh6elpZFmmVqtRKpWYmpo6tV2hqqrsra8yWkzSevtltMz7IiB7fVyLrvCxT34K18wiku14K8Fer9dvrrGwQKvVIp/Pf6AIZzIZdnd3eeKJJ078+9HnUFIHNN56keaVV8g1O7i0HkN+P4Gf+NO4zl4G+gspm81murHh5Ik29XrdHPMWS11H3XyHxMQFVj7/J4B+dGu0lsxnM6hXvkap0Uabvkhs8Qw3rl9j0atRKJaodjQe/cyP8PY77/ZLfGIxRlwyW1tbzMbGcfmHqWtW4okEkiSd2PZR8J0h3L+CDwWj8Xy73UaWZSYmJgZOtKWlJVOUDEExMPry+v1+Go0GU1NTJ6alrFYry8vLbG5u4nA46Ha7BAKBY+k4o2+vkU409iaNfVojFTsyMoLH42FtbY35+XmsVivbm5s4HQ5WVlYA0G6lcA1nZjwe57nnnuOxxx471uvXSJWGQqGBC6jxt/HxccbGxigUCmxvb5v7uY8++iiSJKFanVi6jb4YXnjEfGypVMLn85mCqus61Wp1QLQPGhLnIiPIahd7cZ+NujwgHrVa7cQRaJLbR+/8p7G+90ekMxmmLBb08TGwnbz3WKvVjkWfOZyM/vDPIV17Dn1/Fe3KN2nvb+JcfvrY441sAPS7DLXbbTKZzKkRZCKRYHJhCYvlDJZHPo61nKf77qs0r7xCsdlmfPMdru1cJ6q2sUWnsE/N45iaxz49jyUUGRB2l8tFu90+8XWgv9hut9sMDw8f28M1cDqdNAs5ans3ab75Ikpyz/zbiGeI/PKTLPzkzyI73j9/w+EwGxsbA+eEWeJ1y8gFfbeww+Fgbm6W1Zd+D29PwhqM0Ov1sFqtLC4ucvPmTTY2Nvr7v3Y/yw6djWb/XH/q6Wd4+YUXmHK5GAtYeP6rv8/ipcdxud1kMhlaLTtW9xBX17aYidYZHY+yvLRIV+lx8+ZNZmZmTuxxLbh7EJHqA8Dh0WZOp5N2u31ixGFwcHCA0+nE7/ebje0Pzzk19q3GxsaOXbwPT5ZptVpMTEx8YP1ds9nknXfeIRwOMzMzc+pqUtd13n33XXRd5+zZs2ZvWYssD3RiMnoNT05Osre3NzDRRtM0NjY2TozG8/m82Zj/MBsbG+YCQFGU/n3juyxMjjM8NoHu8p1Yf7m/v08kEjEXHq1Wi0KhwFQ4iCO7igRcr1qYPXfZfMzRvdJyuYyqqu+bmupF9l74QxZ8VnSXj965T1Pt9AYGlEM/0pyZmTm2Fzo3N9fvrbv1LtqbX2OvoTLpsWF9+FmkxYeQJAlNe38v7zDXrl1jeHj4WOOGw8+taRrdbheXy4XNZkNXe9x47huM5/bYXN9grJY9tt+keHzURiaYnIhiC49jjUSpWJ1YfYFj7RU7nQ67u7ssLy+bxzM6MoySjvf/SR2gpA9Q0nEyio5f7eLQVbBYcJ15CPcjz+BcucjWzu6JDuPDda7m+1MUEonEgJ+gUCigZg7wvvrblCUHpUd/BNlqM8uACoUCmqbRarXQikmU7XdZiI2xEThDrVbjkUce4c1XXsTZyDE3GmSjBs7hcdPdvrKyQrdR4ea779BqtxgbHUV3+fF4vX0T29DQia0jBacjptQgRPX7pd1umy7JoynQZrPJwcEBS0tLJ04RyWazxONxZFnm0qVLJ7YbhL7L1e/3E7w1vu3g4ABVVQcmyxiTaU5KwaZSKRqNBmNjYxwcHJiNB45iDCr3+/30ej10XR8oe7FYLKDrbG5tEQoG8R+KNoyJNiMjI2QyGRYXF48ZqU4T1IODAwKBwMCeXT6fh14HLx2KlRpdq5tUNs/IyAhWqxVJkrDb7ZRKJZaWlszPc7hUxFpNUd5fx2q14Zq7jG53n2g2Oppu7Xa7ZPa2mS2vInVb6A4P6955ZpfPniigh9nZ2RkQSr1aZOurv8FM51ZJTGQKy5NfIFVvEwwGjy06tre3URTlmKGr2WxSqVQYHx8/JqqHBanb7bJ38zoTepfu/ibd/S26iT32ZReTSo2j8WbcFWLKpiHJFpBldElmV7czQxtJ00DX2NdsTNSynIQuy2RG51h54ilcl57E4nl/8ddsNikWi8fcyCcJKJw8KP3Gb/1LZso7WFcew/bUF3jllVeIRqPmY1dXV1leXqaUz7L+td9gMegg9OmfYeMgSbVa5fz58+xcext7s4AGKIEYc0tn2NvbI5lM8sQTT+C2W2lm99lLpFman6Nl9VAo9R3pLpfrxN+v4GSEqCJE9XvBuChomkaz2SQcDg+kHw/T7XbZ2tpiaWkJy62ORalUCsDsY5vP5+l0OgMCdpSdnR0qlQo+n+/EOaXQN+MYqVXAbBd3ONI1or1YLDaQ3jJaDs7MzJgRRLVaJZ1Om8O+G40GiUSCxYUFs5+wMU4O+sJ648YNRkZGmJ2dHRCFQqFAu90+9hnz+bwZoR8+vnt7e33x71Sx9No0OgrJusrkLVOT4WINhUJ0u11UVUVRFIrFIpFIpH8R1HWym9eYDDjRZStd/wSFSs0cD+bxeJBuOYsPi+Pe3l6/e5XSwnr9W0jtGps1lZlnfgh9qB/V9Xo9c5i7QavVolwuD0SZmqaxt7vLdDePduVboCpgsbI3fp65T3y+L2aHMEqVjM9/+HYjuj4qqkcjv6N7zqV8nkZ8l6DSRMml6GVv/VPMkpadhNQ2dr1vPNuzDTGh1LHy/uUqZ3EypCl4fD6sYzFsY5PYxmLYxiexRcbZ3Nk9sTmIruu8/vrrRCKRAeOdJEkkk0kuXrw4cM0pl8tmAxMArZhh7zf/KR56jHzxP0ceHkPTNK5du4bNZjMNV/l8nqmpKbqv/R7P39zlsU9+Bv/sWVZXV7FYLNjtdpqJdRaCDjbyTapWP088+SSqqvLyyy8zMjKCwyoz7JBIZXPMTE7gCk+CxUqn0zGH139QCZKgjxBVhKh+pxi9dI1+rNFo1IzEMpkMqqqe2sVGURRef/11s3ft4YktBqVSiVqtdmzqSLFYpFQqYbfbkWUZu93+gfMi8/k8uVwOq9VKOBw+tp9pYNS4OhwODg4OGB0dPba/a7z3ra0t0zQ1NTVlmpiMdLCmaeQLBWq1GtPT06YhxjBMFYtFms3msYilXq9TKBSYnp4euH19fd0UcnQNR6vI2lb/wt1z+kGS6PV6HBwcDESFR4d8d7td0qkES/Ymcq+NZnVwvW4jGpuiXq/TaDSoVqvIsjzQ+7ZSqbwvaN0W6tU/7pcb+V2oC0+gh6fNY3Z4tujhxvQG6XQan8+H2+1Gr5fRXvsSemqHnY7MbDiI/OgPIkf7gm6MsYtEIuTzeXRdN7/rw8J/VFSPRnjGIHDj/mtra8daGQLovR7dfIadvT3momPsJpKM+IfwOF1wK93fj14l9so1ls5dOPFcqlarNJtNxsbGTGOeoihmzelho51x3hvtNw8fq2AwSKFQ6Lcp1FTav//P0PIp9vyTnP0Tf27ge47FYmZ2ptls9v0BN1+gk9rhXX2Y0aWLxGIxNjc3mZiYYHdzA6m4z+WZURJSkOu7SVZWVhgbG2Nra4vR0VFajTq1bJxMLo/PO8T0mfMM+QJAf6FiGPMEpyOMSoIPRNM0UqkUnU7HbE5w0r7l6OioWVJyWBRzuRy1Wg1JknjkkUfY3d1leHj4xFRSMBhElmV2d3eZnp4mHo/T7XYJBoMD9YSpVOrE0g7oC3O5XMbhcAz0uz2J2dlZ3nrrLex2OxcuXDg1vSXfurjW63UzytSBnqpikWVkWSaTzaLruimOxgSbarXKlStX8Hg8x2onFUUhmUweuz2VSjE6Ovr+xVaSSda6jIQCWLUuutJEtXvY398fEGNd1weMP9A39kxPT9PRejiya+jdFq5aAZd9HtetRhmHxcowPRWLRba3t4G+gasYXGHGeYBUSWFdfxm1VUXpeY4N6z46iQUwxQZA8gaQn/1ZKtfeYOjqi1AtoP3xv0OPLSI/8llyuZK5SBgZGTFH+lUqlWNt/wyy2eyxRZbRh1lVVXK53KlZFMlqxTE2gaXWJCc7CC2sEDrldeTW5qmGJZ/Px/Xr16nX61gsFiYmJgZaVZ5Uz2qUZhnntq7rlMtlisUi165dI1zaY6iQQnK6cF94hk6nY0aKMzMzbG9vs7CwQKVSoVQqsba2xhm7C4dVZszlxuP1srGxQTAY7KeBLz/E6pstXlnd54mzVvxPPs7q+iaNRgNZlvvzXcNhFi48wmItx348QXz9Bq7QKLokY7FYzE5hH1QHLPjoEHWq9wiappFMJtne3mZvb4/h4WHm5uZ45JFHzM4/JzE8PEwgEOD69etmt6O+e3HOLCxfXl5md3f3VNel3W6n0WjwyiuvmDNKj66MjT21wzMqS6USm5ubqKrKwsICc3Nz+Hy+gXZvh8nn82xubnLx4kUikcixeZcGlUrFvCBeuHCBbrc7UMunahpb29vYbTYmotF+Teuhi66maQwPDzM0NMTm5qZpQDrtQttqteh0OgMRs67rFKsN/JF+FsCqNFBbdWRZHjC6xOPxY5GwIXK61U4nvMhBscFU0IUzt95Pwx5BkiRqtdrAhJtut0syk2HbNUljpC8A8v57WBI34dCEmpME9SQkSaLoGSHyJ/5zpJXHQZLR4xuov/9P0LaumvWx0F/47OzsUKvVTs0iVSqVExdPMzMz5pbBBy2uoD8L1dgPP41oNHri6Lhms8nNmzcJBoNMTU0xOzs7sNgwshknJeqMXtHG/YLBII8//ji2Rhll9U22OzKpuSeYmFsYOJeN715RFPx+P+fOneufq4U6AJM+B/l8npWVFdPz0Gg0OPPoU0THwrx+c4f83obZuH9mZga73c7q6iprG5to3mGmYlHGhgPQqjI3O8Pc3ByPPfYYkUhETLy5SxCiehdzWEjfeustPB7PgBgazM7O0mg0yOVyA49vtVpsb2+bNaKqqjI7O3vsQmi0ptvf36fVagHvu3i3t7cplUqcPXuWCxcukE6nT32/RuSzsbExIKaHL4qBQACfz8fe3vtlDsbcVFmWWVxcxG63MzY2hsViOXbB3N/fp9FomHvBxuv6fD42NjbQNI3NzU2CtwxLR8fJVatVyuUyU1NT5uD0eDzO/v5+vz7wyJ6rruvHok/o729OTU2hWl30rE4kILG9znRsMNV+OJKB/sLh8IJEtzlpeMaw2R3ISgtndp1KqXDsOzo8v1SSJNOJOzs3R9YTZc05xXq5w0i3iPXdr0Kz36rvpOxBo9E4tSxDdriwPPpZLD/yC0jjc3R7KtaDm6i/83+jXXsJvddFkiTGx8dP7VHb7XaPRcsGVquVXC73gS0LDQqFwomp/8MYE5AOYwxdWFlZYXFxkYODgxMfOz4+fuL5fHQkHICWT6C+9yIBWWPxwmWmHv0YBwcHpFKpgbaI09PT5rktSRJPPvkkta7KaqFFs1432yzOzMywsrLCq6++Sr3RJLZ4jvHQEI52mcStBaLh4n7qqacAeOvKu2xma5RqDZwWidV33kC/1ewkEAgwMzPDjRs36Ha7H3jMBB8uIv17l3E4tStJEmNjY+Ysx42NDaxW64m1jLFYjEwmYzpwNU3D6XQO7OW1Wi1zn+ukyS6Li4vcuHEDWZZxOByMjY0NmFuGhobMetKjIgP9PdxarYamaWYXppMIBAJIkmT2NzXE9Oh7MtoZ7u/vMzY2xs7OzsDot8P4fD7sdjvf/OY3efzxx03Hrqqq6LKMLEk0Gg1KpRKzMzOm3UWWZXNOZr1ep1wuD9aWHhwc6/xkfDeGyPXsQ/Q6bawWGWe3SlcOoMt98TiaAq1UKgNpc0VRsDjdtCMzOHLryL02ta2rxC4drx89jPHckiT1BSoW49obEpncDnqpSODdr6IuPkGz2TtWfpHNZo85XI/OSJX8I8jP/gzZt15mLHENanm0d74Fq28gn3+GijtCMBik3W4fq1eOx+PH3LKHCQQCpNPpD2xHGI/HmZiYoNvtHuuVfBS3202z2USWZfMcMb5/i8Vyaocvr9drmvMOY7VaB3oE93Zv0n3uN5mQFJKuCItP/jCS1cbc3ByxWIx3330Xv9/PxMQEHo8HWZbNXsySJDEWGMLZtFFoKWiFgmleGxoa4uMf/zhXrlxhOBhkfiTEdiLD7JSHrjPI+vo6b7zxBo8++ijLy8um4W9sZppSfAu52eJbf/RVYrMLWCwWZFkmEomwvr7O5OTkt12QCD4cRKR6F6CqKvF4nO3tbd544w0CgYAZkR42UiwtLZHJZMx2egaGK9XoIyvLMnNzc0Sj0YGoy+VyMTk5ycbGxkCaSFVV9vf32dnZIRgMmt2STopmfD4ffr/fXMnruk48Hmdzc9Nsbbe8vGw6Xk+j1WpRrVZRVbVvMjpl7zQUCqGqKm+99RZLS0snCir0o929vT0++clPkslkBqIHTdP6pTXpNAvz8/0L0KHXK5VKOBwOLl++jMvlYmNjwzRoWa3WY8fh6B41ksRWtsLUZAxJ17C3y0iaaprtDHq93rExeUZbQt3mpBNZRrPYkTQFZ24NSWmZ7+/onnm9Xj9WI+weHmPuM1+k4wqynq/RvfYCcnoTNHXgfiftQRpTbg4jSRJaaBzHj/4C8tM/Bt4AtBtob36N9vO/w6xSZG9n+9hzH91DPkw6ne5/3ltGspNQFIV2u83Q0NAHDh83iEajXLt2jWSyb/I5XAIFxyfmHMbhcJy47TEyMkI2m0W59jLdP/73oCo4JhfhoU8jWd83vNjtdrO5SalUYn19nXA4PJCJGfPYyDQVpsZHGR8fR1EUrl69ar7+7Ows/mCQ3aaMzWph8713cLtcPPTQQ0SjUV5//XU2NzeRb3kFktk8oYlZVuam+PQj51BaDaLRKJOTk9jtdvx+P3t7e6dunwg+XISo3iEMJ+T29jYHBweEw2Fzf+Tg4ODU/c25uTlqtVp/asvuLtvb26RSKSYmJpibm+P8+fN4vd5T+4W6XC6mpqZYX18nm82yvb1tRoKGEC8uLrK3t2fuNR4lEAjgdrt588032draMsdtHU5ZRqNR6vU6lUpl4LHlcpmNjQ3cbjcXL14kFAqd+l6NVK7P5+PcuXOnTu6oVCqmucgwI1UqFbLZfg1jq9UinkiYpQ6Hx8m1221KpZIpKD6fj8XFRXq9Hm+//faxNGyhUDg2cq7T6WC12em5Q2iSBUnX6BQSuF2DEdxJk1oOz0nVrQ6K3hgutxdZVXBm1pA7tRNF9Shm1x+7i+Gnfpj58w8Rr3WopPawvPtVaFbM1ztJ8Hq93jF3pHGsJFlGnruA5cd+EfnxH0J3eZE6TfS3vk74yldIPP8l9HYD6Ke3TzKrGVSrVXw+30Ca9ChH63VPEz6DZDKJ5dYM3tPMdqd5Dgy37lECXg+F1/4I5fWvAjrWlcdwfOZniYxHzfPKYHJy0tw7X1xcNM9H89yvFxnz2Eh3+s1Xzpw5g9vt5o033qDT6TA6Okq5XGZy+QITIwHQe7z+yotAf0bszMyM2cnJ+O3f3NpFd3iRZZmzkyPs7+7QbDbx+/1MTk5y8eLFgWyQ4KNDpH8/QgxnqeF+vHTp0rHUmSzLLC8vm3b6w6vudrtt9swtFApEIpETy2VCoRCSJJmpy8Mc7q6UTCa5fPnysccbUfHq6uqxZgn1ep1MJoMsy+aEmdN6BU9NTbG7u4vFYsFqtXJwcIDf7x9IDRqNI45GSqVSiVwux9zc3MDrH21ikM1m6Xa7x5odTE5OmsYno5cv9E1Mmq5jkWW4tV96kmuyVqvx1FNPkc/nSaVSTE5O4nA4KBQKx+5/cHDQT2VKEl1nAHu7RDqbY35mmp6mot+q+TRa2Rm0Wq1jNYbpfInZlcdQC1tYug0c2Q3kzuDPtNPpHNuzTKfT76d5JRl99iHkusqZyjZrB2mma1/CsfgoSc19zHV7mrll4DkBSbYgLT1M2h1mvJyAzbfx1UvkN96lc3AV6/QZGvbhU/v2GvXMADabzWzkIR3JGvj9/gHhj8Vipqv2pPdosVg4e/bsB46XM8xHRxt/yLI88Pl1XUPdvIry1h8hlxt0rRKeJ38Q67mnkCSJQCDAxsbGwMLB6FIGmOn48fFxXn/9dYaHh5kq5fA7rKRVC2O3Pu+ZM2dYXV0lkUig6zpzc3Nsbm5y1j/MBavMXtfJq6++yujoKFNTU6TTaXq9nnkMNjY2ePXqKmGvHUnt4bQ7SMTjREZHzT37SCRCtVplbW1NNIr4CBGi+iFzWAitVisTExNYrVamp6fZ2Nhgdnb22IVVkiQWFvrOwkqlYhoPHA6H2egc+oJyUtoOMCOb/f19hoeHzVSQz+czBajZbJoF5EcxBlYbP8hcLkej0TDNUsYPNJlMfmAkNTExwWuvvcbY2NiJhfiA2e3IKMPY2dnB7XYfEy+fz4ckSaaw7u/v43K5Tr2Q+nw+4vH4sfStruv0bo2hW1pcxGaUetxKR5ZKJTyefmlKNBo1U9yJRIKzZ88OPFe73cZut7//uWQLTYsXi9WGBQ25XaLrDFCuNY5Fvel0+sS9aclqoxNewl7coVfN42mVsFbT9IZGQZLMFOphDhuZDDTvMPblcyytv8L+/j6Oqy/TdQZxPfWDA/crFAon7n+32+0TF0ztrkL0/JPoZx9HP1hj5trLbKeyTG5fw9WT6SXegfkLWOcuIofeF/BsNjuwoJqamhqYRWuMHjR6OhsY5/tRAc7n86iqah6Lo4alw0xOTh6rHzYwnOYjegvlta+i3ZriEwsGSE4/QuD84P62sYd7+LwaGxsbWIRYLJa+J8HnInWjQQ+YeGRx4PPOzc1xcHBgDisAOKh2mLbCpN8Ovgh2u529vT1UVaVSqWC1Ws2FaT4YpNWsMzVko9dTSDdUNjY2jg0GAHjhhRd46qmnPrJazQcZIaofAs1m03QV5nI5Hn744WMns8ViMSPSSCRyrIOLsY/UaDSIRCIn1vRFIhFyuRzJZPJYxFqv1ymVSqY5x0gHHcbtdhOJRE41HnW7XaxWKy+++CIPP/zwif1Go9Eou7u72Gy2gT0+I70tSRJPPfWU6cw9uqdoMDo6yubmJgcHB5w/f/7ULjGGWerll1/m/Pnzp5Z0GDNZL126RK/XY3V1daANotEkQbZYzD1ASZJQFIVcLjcg6IZhTFEUM4I2hp7H4/Fji5L9RJLpuRU0pYasq9hbJQrZEnOLg4uEo3uPAxGoLNMdniOeLjI/7MNSSSArLbqhaVRVPXVm7THsLrRzn2YquEZ17S02kynm3/4DtPnH0EemQJKoVqsf2Av66Hs2j4ssI02fwTa1wsjWTVavvsn5ThoaFXpXX6R39UWkYATr3AXU2Mqx34AxcMEQy6PD3g8Ti8VMAYL+wqfZbA7sbRuj2o7uNcNgmczA59E0vPUciVeeY6h6y/Frc2C79AmsZ5+And1jYh6NRo9Nr/H5fMci++npaTZf+iqLfgdqKMZerp/1iEaj2O12859Op8PS0hL1ep0rb76Bam8yOyoxMbvC+uYW09PT2O12MpkM7777LpFIhJmZmVt7xXBQyDM17CUWdDAx/TjpTMZsbmGwuLjI2toaU1NTp/oSBLcH0VHpNlGtVk0zhNvdT7FJkoSq9lePMzMzpw4b3tvb6+/L3bpQBgKBgbKLzK0fyUkRKWC2EzRaC0L/AmO0xSsUCnQ6nVM7KxniG4vF0HWdZDJploKMj4/T7XZJJBIf6NZcX183Wwka02YOz2Q1BpSf1m94Z2cHp9NJt9tlZGTkxAsjYA6mDofDNBqNExcDRrel5eVl87WM/dmJiQna7Ta9Xs9cqBzuxLS+vt7PBhwR/42NDebn581uPEb5kcvlGhACXdfZ3t7uH6tbpiV6XbbiaaaXzqJZ+qJZr9dpNpsDacTd3V0mJycHFh7b29sshb3YygdIQM/mZrVuZW7h/Qt6u92mWCwOfL/GbNnD51Ezn6L83kvUq1WWQ07kkUnU+UfZjqeOiaqxB3k0A3HaUHOA559/nsceuoyzlIDdG6jxDdMktdORmRkdxjaxgCW2gDw6jWS10Wq1yOVyRCIRUqnUiZHk4e9gcXGRarVKoVA4dt+TRrUdJp/PI8syoVAIrZSlt/kO6tZVmvUa11oWglZwxBawLl5Csvcj9GazSbvdHjiOXq/XbBBx+LvK5/NmuROArqnsfvlXGberOC59GikyQ6vV4vXXX2dqasrMOq2urr4fnes6V77+Oww5LFijS0zO9cXwzJkzZm3tjRs38Hg8pkNZ6Xbw6B2mx8NoLh84feRyOZrN5rHfx9bWFsFg8IHrwCTaFHJviGqpVKJUKqHrOqVSicuXL58YQRgX2pGREdMNauwjHq4pc7vdp06fyOVydLvdgbSfruvk83lqtZrpVD179uyJKdbsre5Cp3Wx2dnZoVgsEgwGGR8fP5b2q1Qq1Gq1U1OtiqLwyiuvMDExwfT09InHwegvfPgCXiwWyefzZqE79AV6dnb22I+gWq2SyWTMNPLhxcDh97G5ucnKysqJx2F1ddUcqn6UUrGIJEmEw2FznJzxuo1G49iiZn19vT+NRdfNvsfxeJyRkZH3F1C6Rnp7jfHQEHa7HcXhQ7M6j02kgeON8HVdZ3d3t187267iyG9TrNbQLTa8MxfQHP2Iw+wJfOgCf9Kkmt3dXaZiE8jxm2xcfYtZnx3daiMXnCV69lH4Nk35P+j2YrFIt9ulWq32587abOidFureTbpbV9ne22fOfsiFbLEij01jic6zrdjQXEOnfmcGxuKx2WyeKpzGLN+jZixd6aIV02y8d4XpRopaNkWu17+P0+FgfPkcCW+UxUuPHHvOw+0WdV2nXq+Ty+XMLlsul4vx8XFkWR68b/wm+vprbNY0Fn/kTyNZ+r+J/f19fD6f2bYzFAoN/La6W2+TSqcYP/sIe/maGWEbU3AMYT1z5gyyLFOv19m4eR2lUWEkFADPMBarFYvFQqfTObYYjsfjWCyWUxfp9yOiTeFdymERg/4q3rjAGIOsp6enjwmSJEnMz8+zvb3Nzs6OOXdzfHx8wHCSy+VO7MAD79ds7u3tYbFYTDEO32prZzw+nU6f+GMxIoHDNX+1Ws1sGOH3+3E4HLhcrhP30fx+P+12m3w+P7D/1mq1TPflE088wf7+/qmpSZfLRSgUIpFIMDo6ys7ODoFA4Nje6eLiojnlw7g4GkaNoyYno0FGNBodGCZ+0sXZEEljD/fwAqPX65G/ZULSdR1ZkpAsFnOc3NH3aESpk5OT5oQeTdNQFGXw+5NkmtixuoaQ1A72ThVFU+FISvFonSgw8B41p4/26AqFzCssRdzo2TW6wUlUb/jUtPrRY6BpGrLVBjMXWRiJsffqN2iXqpxjA65VUecfBffptY0ftP4ul8vMzMxQr9dptVr9Gk2HC+vSwyQcwyw87cNaSKAmNtESW+jNKlpiCy2xhdyVaMpOOpsvInkDSF5/v3WiN2j+t2SzEwwGee6553j22WdPfR+xWIyDvR1iXgdaLoFWSKLlk+jlHLqmk2la6Fl0vDYr8wvzWBcfwjK52Be8W6VmR4/b4bSyJEkMDQ0xNDREr9djfn6edrvN7u4umqZRLpfJ5XKMBPyw+25/alFsiY7Sw3lLVCcnJ1lfX2d5ebk/vWdvz6w7djgcON1uXHYrzXqdxcVFVFXl+vXrvPbaa0xOTjI+Pm76HVZWVvB6vTz06OPkd2/SbXeIxkZRZAelUolKpcILL7xANBod+FyVSoVms/mB2SfB94aIVL8Nhnmi2WyiqiqNRoMLFy6ceBEz0pjBYNBMmx2dZWq0MTst4iuVSlSr1YG0TavVMgu/DYPEaXtg6XTaLAI/ic3NTVqtlpnCMxoIGGxvb58YqRrs7++bjt1CoWDOKzWeo1arUalUPrBjzvXr11EU5dTjCH2R2d7eNgenH02JHyabzdLr9ahUKgNCfBhd11lbW2NxcRGLxUI+nzfnrkI/GpmbmzPfj1HLmkqlcDqdeI/UPh4e5WaQy+XIZDKm2BrtHavVKuNjY1i7day9FsVKFUW24x+dNKPD/f19xsfHB1bTJ0WF21ubrPglrK0yAD3PMGtlldm59y+OhyPcgccefT5N4/U/+kNWrFWGHf3xatrECvXQLJX68ci8UCiYRpmjx9aIjDudDvF4nHPnzpl/P9pYX9d19HIONbGJmthiY3cftB7zjpPrVgFwethSnThcbsb8XuyooHSh10U//G+ly3Yb5o48V7knkbd4iI2PUXCPsPDkJ5Ccg3uL9XqdWq127HOfllau1+tUq9WBtLumabz22muMdEtYS3EmR8PIj/8Ym7cmQhnkcjlkWTYXuO12m9dee62f6XH2cHVKXC9pLD78lHk+HxwcYLPZaDQa5n68oijvDyVo18jHd+lqOtHFC+a51Wq12NvbO7bYNKY9ndR45X5DpH+5s6Kq3YpODJv86Oioubn/QREpvJ+aabVahEIhfD7fsWb1RoP50/aPqtUqW1tb5sXL5XINNHM/bbqKQTKZxOFwmD/Yw8Ynt9tNo9FgYmLixD3eo+Jz9G+JRIKdnR0WFhZOTR+l02kcDsex/bhSqUQ+n2dsbIxcLsfExMQHjq2qVqu88847PPbYY6eKPPQF+M0332RhYeHUSTknLRaq1Sq5XA6v14vNZjtRtHduCfvhcXLtdptcLnesdMRwUmuaxsHBAb1ez7zoGd+/RWmyu7HK4nQMVbahOP0gyScL6JHbzLFuk5NYaxlslQTlRgtFcjA0fxHd2j+W2WwWt9s9sO9ZqVTo9XoDnYkMMbTqPQLFXYa7/cXfVgMmH3oGaWTyO0oJZ7NZXC4XHo+HbrdrdjeKRCJks1mzQcJJFAoFtJ6CrVWlUcwTsYNeL/cn59T6/0bpkFMkLBIELTq7XZnZDxDgnCLhdLnwj02ghcbY61gITEwxPtNfeJw0H9XgtL+dNMD8tPsfrF4jtP8GVhniI+fRvUHq9TpLS0sDjuGjU3qMcYOdzB5KOU1gbJKc5hq4z+rqKvPz89hs/f3ozc1N6vU6kUgEl9PJqFOjWCzRs3sZn37/uzJGxa2srAwsOtvttnn7aQvc+wEhqnz0onq4PaCiKCiKwtmzZ0+NenZ3dxkaGmJkZIRer0cqlUJRFHNPTlGUDxTORqNBMpk09wc7nQ7pdBpVVZEkCbfbTb1ePzU980HmI13Xee+995AkCY/Hg9/vP3YxPU044bipyKhNlSTJdC5ubGycOLbLYHt72xTNdrttDvw2RM94D6elaovFIsVikUAggKqq33Yu7PLyMvF43OwtfBgj2jyp7KdWq3HlyhU+9rGPHfuud3Z2mIzFcDqdA+Pk1m+Zlg6/71arRaFQGFjoaJrG66+/TjgcNhcxuq6zu7nOSjSEhI4mWWjbvOwnUgOGp8Pj1gyOjnWT21UOrr3BQsQPsoVuaAbVHTxWy2t8H0f3cPP5PHa73Rxy4FebDOfX2M4WmQ840Xxh1NmHwRsyn+OD9lkPj34zsgwfZByC/r60EcEd/u/DdOtVdtZvsjASQG832YonmZ0YQ7Y5kGx2sNmRrP1/G/+9uXfA0NAQtVptIAMB/XNL07QTy4gSiQTBYPBYGZaiKMTj8WPH9bD5CUBv1dDf+hKbmTKLZ84inf040F/UXLlyhYmJCWKxGC6Xy2yLeficWVtbYzlgwVrPkdE97FYULBaLmdXRNI3V1VXTuAT9qLfX6+H3+8km9tCbNYr1JrrDSygUwm63myViOzs7nDlzZuB4qKpqivVpZsp7HSGqfDSietgsZDQJN04qIyKdmpo6sV1fu93m5s2bdLtds0fu0YJ8c3j2CekVXddJp9NsbGyY4jM2Njawr9ZoND6wR6rxYxofH6fdbpNOp80uOJFIhHQ6PTAz8uhnN/YfT6Jer3Pjxg2Gh4fxeDymm/nweysUCsfmrB7+fDdv3sThcGCz2Y71z4X+6jmRSBwz5+zt7ZnROfRTo6FQ6Jjj1GhNeNhRbDh8jc9cKpVotVqnOp8N1/LW1tZAowtjkWOk4Y1xcu12m3Qmc6xOdGtra6B+F/pibswsjcfjdDodnE4nfr8fn8eFrV1G1jX2U1mC41PYPO+f59+JkQlgd3OD5SEVS7ff0UjxhlkvKQPp4NMee9IQdK/bRXP3BrO9LNIt564WnqEQmEG12I/14DWi3aOieniwwQe5znu9nrnQOk3sVldXWVpaMhc9R7+bo+i6zvPPP8/58+dP7Rl8WkT6QQ7i0x5j3K53mvD2l6FdZ79rI/L0F3ANvZ8qTyQSDA0NUalUaLfbZtbInNFLX7z333mJ5ZADdWQW3T/GzZs3zQk4DoeDUCh07LpgZqeCfuRKGh1INiVkq5VgMEij0aDRaJgLXKNe/vDnrtfrJw7cuB/4KEX1gWtTaJhKtre32djYoFarMTs7e2zyi9VqZWVlhWw2a5p5arWaOT6tUChw6dIlzpw5Q7fbPfEL83g8zMzMsLq6Sq/Xo9vtmq0JjQYHTz/9NN1ul/Hx8WNGFY/HYw4rPooxlzKVSvH2229TLBaZnJw0ewYbTRqMwvGjGIO9d3Z2Bp7TmIqTz+eZnJzE5/MxNjZ2onnDbref2P5NVVV2d3fNxuSn9fZ1OBz91fWttm+dToe1tTVGR0cHItOpqSmSyeRAnWGz2TS7IR1+7vn5efb39+n1emYLwtMu6slkkrGxMex2O8vLy2xubtLp9EecHe3vq2oavVs9kqenpgbGyZnt/I58xmazicfjQZIkJicnmZ+fJ5FIkMlkaHV7dF0hNNlGt9vFS7svjIfrQL/NPpemaWC10Yksowz1XeNyNfP/Z+/PfltJ03Rf7BfBeSYlkhIpSqTGNeVcWVlVu7p7dx/YwDEMDziAYZwb/2W2r3znGwPHgGEfw91dc2ZVVg4rc2mWKHGexHlmRPgi9H3iEFxZu3d176ru9QKqlSWRwWBEfN87Pe/z4O4UUKZPtH7r9EaXLZ1Oc5O9w3/0IbNP/tfosYx5zFqW9h/+P8S6uQUJOLDmDAbz3jabzbeObiwLDmxsbKzw/Ip7NF9FEPOtViaCuU8//XSB/3nZHA6H5THEfbTiJV4nR+jxeOi3H+Cb/xlGPXD72f3P/zvy5UU6w52dHcnOdXx8TCQSwTAMfvWrX8lzdTgceO0q7cEIbOae8vz5c3Rdl+2NSqVCu93m66+/lt8hmUzS6XTo9AYYNgcKkIiaVZ5Wq0UkEiGVSnF0dMTf//3fM5vNJLXpwcEBh4eHfPjhhxKN/87+5fYfIlMVvShBaD6fVYqZRqseqaADzOVyEpoejUYtM66bm5sVSj8xatNsNiVxutW4iaZpXFxcrLxfmMhYY7GYfOBFNurz+cjn8/j9fsu+lZiTXVdmbTQalEolvF7vgiqOsJubG5LJ5NqykOgvOxwOScxvGAZ7e3tS5msekGFlgpx/Nput5W+dz6xFOXpdBi9KZIqirB3TEPOR845T6Kl6PB6cTudKf3Y8HlOpVMwRlzmHepvNSucsbDqdUiqVVo4vSrO5XI7JZEJqZ4fK/Q3PUuZnaTYXA5uHUqm88N5ut8toNFo4p0qlgt/vl/1+ddimev418YAbl8vBJLyL5otSq9dxu90LlJdCxGE527u5uUHXdUnLqHQbqNmvuL3LcRhxY6h29OQz9OQzcLgWst35TNVut0uKSKtqSKvVkry381atVnE4HFIBp1gsWpacl7Nc8fmnp6ecnJzgcDje2jvVdZ3b21vLZ2g0GlGtVi2rMFbH1MdDrv9//w+O3BNweuCT/xWKJ0A2m5XtEmGVSgWXy7WwVrPZrCQeURWFtF7lulDj+Kf/HYrbrM70ej0eHh4Wzuny8hJN02RAr6oq3W6XZ3vbeIwJhsON4Y9SKBRwuVwLFQDRfrGqxAkGuHXB6F+jvctU/ww2T1h/eXnJaDRif39fspMIczgcUlapVqvJsqzIJu12Ox9//DHvv/8+Dw8PlmMFLpeLZ8+ecXNzQ7vdXshGxTjN3/7t35oghPF45f2CXeny8nKBxH44HJLNZqlWq4zHY7khz2ejYI4RCIYZq2NnMhlJgwZPqjY3Nzd0Oh3cbjexWGxBFUeYkEVbF3sdHh5yeXnJ9fU19/f3MlsWwUEsFqPZbDKdTtEN0B5/ZgbMdBhOZvRHY4qVCsn0PjNDYaaDbiwkbdhsNlKpFG/evKFWq711FED0P62yR3jSSF0GGol7dXt7a7kABZeypmloui4RmJqm4Voq/Ysgat7EiIwgxjg8POTs/JzeDAaqBwOwaWPq2QuSW4sOvVarrZRFRSYsTPeE6PoTOAIRFMPA1bzH2bih226vKLeUy+W1fWpxDTRNwwhs0kp/hufZjzF8ERR9hi3/PfYv/yeM7DeoxmoVBJ7E2UOh0IqqEpjO820sYbDK8zxvkUhk4biapnF6eipnZMF89pbJ74UJEg+r59rtdluuU3iiKBRmtKooX/4/sY26zFQHfPS/RPGY11rQMM7b1tbWSrabTqcZDoccHR2RTsYp1pvMdJ0vvzuVGbMY55nPvufFzA8PD9nb2yMajfKbL7/lIpvj+uaG66srRqMRhUKBfD7PdDqVa+P58+cUCgU5ImgYBuPxGJ/Px2Aw4PXr15bX4J293f5dzalqmkahUJAZaTKZlAtsNBpxfn5uybWr67oc3L+6uuKDDz5YIWHw+XwcHh5Kxp1lFGm9Xsdut8vPWM5yhF7pzc0Nm5ubK2MJQq7tiy++IB6PY7fbcbvdCww77XZ7gapt3vb399eSJrhcLpxOJ1988QXRaBSHw7HSU7m4uJBakMvnnclkVpRDxPk0Gg2p+JJOZ9CBqW46Th3z343dA15fXrF/vJix1KsVBr0uqfQhG9qMy5s7UpnlTdRAxQShtnpDBpMpkdg2Ux3sygI4VZpA4YrAavl6id9ZOdxCocAnn3zCw8MDs9lMOjJBIThf8jUw+4DxWEyCSPTHTVqqxszZYDBYJKhXFILBIJlMxmSh0jWOt4Jo0wm+WY+pTUG3uxde/0NmqHbGsX3svSqOVgH7sIWz2UYdxtA9T8+c6O/OmyC8F8+qqHDU6nX2j14x4xXKQwHb/bcogzbl06/YDXhQ1S564pmZpT2a4A32eDycn58vZGbzxPpWFggEODs7s+zDz5vH42EwGOB0OuXM5vw1tyK/nzfB12tVvvb7/ZydnUlNVHl9DYMvv/zSzOJqd1C+AgN0u4ffaXHSjS4x1Y3H45F9UKGtKiwWiy2UvhVFkfJ0MduI/XgE3RvmrGvj/Pwcp9OJzWZjZ2eHq6srAoGAPKeTkxMuLi4k+CiZTLIVj3P2x9/yXjqFEU5iKCqDwYDLy0tarRY+n08GEzabjdevX+P3+/H7/TidTlwuF/F4XNJ7rqtyvTNr+6sv/2qaRrFYZDqd/uAMpyi/hUIhQqGQLAmrqkoikcDlcsle3dHR0VvZkabTqcx4BQpYPHiFQgGHw7F2Md/f3+P3+wmFQlQqFRkVi/csg2bmrdFoyB6s1bkJAvzRaESlUpGLJxKJSMICKxTsbDbj9vZ2bbmsVqtJCrZCocB4PCYYDBLZjDE1IJfP4wuF8foClu/vdTv0e122EkmmkzGFuzuisRihcAQUkyqwVinjcLoIhCOPIuJPC7lSLGCz24nGt7i7vmQnncFut6MCdtV0sHYFcnd3bG5uyMxMjCmIeyGG3q2u33Q6JZfLyeenVCrJkrjVXCqYDvzk+FgGI/pjy2DeIYt7YxWYzJdPp9Mpd9lb2tUS/+lDs2w9s3uY2L3c53IL6ODpdEq5XF7ItsfjMbVaTaJJlckAe/WaXLnMwdYGU1+UaTgFqm0tcGm+/D4ej7m/v8dmsy2+1jBQGjmyX/2OI6+ZqRoo6Ju7jGIHGP4NU8rs8dw6nQ69Xk+WE99WlhWf+8UXX/C3f/u3a18jrunZ2RmGYayMigjL5XJEo9G1I1nz5yLoOAW3cr/ft2Qou748Z6+fw94smL+I78Ozn3GdNZmtHh4eJLm/rutUKhU+/PDDhWqBFdL57OyMl94x6nSAFjtAD8Ql0nc2m1EoFGRp+r333iMcDqMoCv1+n2q1upDVT+v33NzlePbhp2B/SiLu7u7Mdbu0B9zd3eH3+1faNOPxWLZd/mS+6b9Ae4f+5e1OVQBqJpMJqqou9C16vZ5ElC5fRCG99vDwwHQ65eOPP7a80AK5mEgk5EIYj8eUSqUFPUrBjWtlQpJsHi5vGIZUe2k0GrhcLo6Pj1cyBl3XpXO0GnkR0mvz2XC/35do4FKpxPHxMfF4fGWjETzEVt+71WoxGAwseymtVovvv3/DRjRKcncP1elmZsC847u9PCdzdIxNMWcKVQVsCtgw/zt3f89sNkVV1RUKPWEXFxePHLs2DEwndXN7SySyQSAURgdmms7N1RXppcy3Wi7idrqIRjdwKOB4zGSF5Jzf75ejQlZmRXEn7peiKCv9x+FwKIFQiqJgeyTlv7y8ZP/gYKG0WCwWiUQiC5u7Fb9uo9FgNp3Sb9aI+l3EN8Lkay18sSQe3xP6OZfLsb29vXAf7+/vSSaTC5tfMZ9nyz4mMG0BoNucdHwJ6v3Jyn22crT1ep1cLsfHH3+88PvpdEqpWCQddKAWzlDbTyXNq7Gbgw8/Rd3KoDzK3l1cXHB0dES/36fX672VIu/8/Byfz0ckEnkr+bthGPzTP/0Tf/u3f7t2w/8hPuC7uzuGwyF2u32lgpPNZmWwDWBoM8ifomVfk33ochjxwvFnkDTBcpPJhGKxuCIKcHV1tVBSVhQFl8sllWyEDTstGt//hnQ8gpb5FGwOE3zU6SzsI9VqlXa7vSLGsLGxIY+ndOsMui2KnRGHz99bOJ9sNks4HF7BYOTzeZxO50oyIDAKBwcHf7UjN+9oCi1sfo602+2ysbFhmZH6/f6FMqvX65XOUCyadDq9IHu2fLFVVeXk5ITT01OGwyHhcBiXy7VCdv7w8EA2m7VU1ojH4zSbTV6/fi0RoGCWfuLxOPv7+xSLRbrdrqWmqijrWDEExeNxLi4uKJfLcszE6/Wyt7eHqqpS9Ngqchcl7GV5LTDLZd1uV1KyCRpD3QBPIMSrH/+M2+srdIcH/dFfKBjYHx3Ys/09asV7MpnVUYd6vc5kMmY4HFry7go7ODiQoC9D17m+vGRvb28x07CpHO4maJVzbO2kmBlQrddRFYXgxiYTHUxMpHluseQudzeXGMXi2l5su93G7/evXLNYLEaxWFwp1wMLIBohJ6c+jt7YH8vBQk7OSkat2WxaltQPDg5ge5tWrczpzT0zbcZOLMJ05kB/zDqsRMWt9EJHkwm21CGjURfnQxZVm9C4+IrU/gm6roH6JHhg9bx0u12SyeQKUrdYLLKzs4Nht6NFkmi9JmrhFLV+D4MW6tmv4Or3GNsHkDhmf39f9mnXBTVgBtOBQIBEIsHl5eVbX3t5eclPf/pT7u/v11an5tG889/PMAwJFhNSi8smJNkODw7MMu/t1zAZYgMMlw/jk/8eNfhUjXA6nQs9S2Hiu4vPEMH12dkZvV4PVVXZ3t7GP+1Q0XQmdi+2R+Sv4AgWAhfwpJOaSqXk7/r9Pt9++y2NRsN8zkY9lOmIiaFyfn7O0dGR3LsymYwUL593rKlUilKpRKlUYnt7m9FoRLfbZTAY4HK5+OMf/8jLly/XEnm8M9P+op2qoihUq1Wp/jA/R9psNteSZ0+n5sC0AOd89NFHKxmf0OsU0muhUAjDMKhWq/T75sxfPB6X81vLoBMwRwBcLpeMwlVVZTgcSlUZ8ZrBYGCpJZpMJikWiysbFpi9jqOjI7kgxMISJgBAy2hdMMvRg8GAh4eHlZEGVVUlgMJqzs/v9/PVV1+RSCRx+wNEd/fRHvFsBrARi9Gslkhub2NXzSxUfC2Xx03b6aDb7coMX5Dgb25ucnx8LCsJVtcTkATjxWKRdru9tgweCATodDqM+12T+3YyJJ3aZWYYTA2zr6ujmIAoA2zeEKXcHXuKHZthZs7zVqlULDfw8XhMJBIhHA4vZHLCCS3f01wux3YisSIn9y/pSYVj20Q2o/zxd7/h6i7H4W4S3eVn5vgvl+7S3QFG2y9xtnIYRgP3sI5e7jDZSKO7g1QqFUsxByHCcHd3J/V0xfdfuC/+CLPjn1J2bxOJVGFQgfEA8qeQP8UeiDKZeHDF1tNXgllyF2hhj8cjWxbLVigUTBYhj8cEVL1lbEhoqYrnvdFoyJExr9fL9fW1ZQ9c0TWMZgn9i29RhyaYB7cP9j8mFUqQr9XZC1p/1nwfX2AOJpOJ7MsLucdKpcLu7i7lQo7K/fcYhsHvrqt8uv3kRA8ODmTPWNjh4SGnp6eSBMLn8/Gzn/2Ms7MzU5Zw2kcZdRkpDq5LD3zzzTcrzvDNmzcEAoGVakCr1ZK4A7/fTzQaRVVVDg8PpaLWOpDbO/sLd6ovXrzAMAzLKDQSichynih5CSi4EPPe39+n1+vJftjy5izAQd9++63sgVlpl3q9XslAtOzA3W43LpeLX/7yl7JcLDJGYcPhUPZu/hTH2u12aTQaUtj897//PR9//PHK5hKJRGSZePm8tra2uLm5wev1rmTCXq8Xj8dDo9EgGAxSKpXkDGgwHOG9H/2EXD7P5uYWomNmV8CpQngzzM3NNTZ9it22Wk5JJpNcXFxgs9koFAoEg8GF0pvf75eKO8tkGcIUReH6+pqf/vSnb+3j7Ozs8N133+HxeGQG6lDAARgq6BhMdegOh4yGA569/xEX1zekDw5xKOB67MWWSqt6tMJyuZzspdpsNi4vLzk6OqJQKFjSRArRcrFJK4pCpVJhZ+n4/X5/ZZTB6poMJzPiewckIz4ub68JB/x4/UG87kWw3bzDW3u8R9alSbCHbtNRtQnu2iUzX5TRcIrbvXiO89lrOp2WAZ5VliysM5yw8+pnYLfBQxFKl1DPQbeO7WHIpHSJMbiDSBI2EuCLyDUhROqFpVIpy2y11WphGIZ0EqlUinw+v4LmFuZyuRiPx5IsZGNjY2HMZ29vj/v7e/b39zEMHZplKF9D/Z7d8YRcf0o6GoT0B7DzDEW14QFLhLDb7WY0Gq04+XQ6LbES86+dTqfouk7KPUPdjmC4fDiNCNfX19Kp2mw2IpHIwkywABAuczyfnJyYvdlMEgVwOV28ePGCYrGI0+lc6PMfHBxwe3vLxsbGSiXm4eHB5KxeKtOn02nK5bIlAPCdmfYX31P96quvsNvtlmjN0WhEqVSiVqvhcrl4//33LUtYoke6tbVFKBRiMplQKpXkxpdIJBgMBtTrdUswCixy/o7HYzmkLvoiTqeTi4uL1VLlo4mRmGUHqGmaVKex2+0Eg0ECgQCbm5vydaJfalVmns1mkqZv2ayoAMfjsSSgF+ouqVQKxeZgpMP0sU9aq5Txul1EI2Gc6mJmJ66nVWbX7XYlTP/TTz9dO9JitVnOsylFo1FZBl5ngijcbrdblu/EMS8uLjg6PmGGQv2hRW8wJJ4wHYihzajc3/Ls+Ggle7Xi+BWKJFafKVR85p2tTVXlPOS8nJyVNNvd3d0KKnte1k2djehWC3x3fs2PP3iBPRSX5eDb21upzynMqscqOYAjYRztAo6eOb5yUWmTfvkxmicsSw+FQoHNzU0ZlIlZYafTuaCVK2w6nXJ7e7sw1gJgTIZohUvuTr/Fp49w2hQi7sdzcrhhI4ERTnBR7/Hs/Y9WrsnW1pY8BzFXvty++CHw0/fff89sNuODDz5YZTfTNC5ff8WRH5TKDUyGT3/0BLjUAhz/5D+bVIhzJpiRloPwfr9Pq9VaqcZkH+eZ54NcTdO4vTjjmbNj6uUmX4EnuIC6nc1mlMtlstkssVgMu92Oz+cjGo3KvW++IjUajchfn3OS3MRw+TG8Yfn5Vr3UdY610+lQrVYt15ZQ47GqwP0l2jugEotAJYfDwf39vXQqxWIRwzBwOp0kk0lUVaXdbktCACtwz3A45Pvvv5di38lkcuV1k8lEIiDnx27muX0F9V86nbakHry5uSEWi1kilqfTKW/evFn4mwAcCSo7AdBYtrfR7a1zuqJ3c3l5STKZlNdsa2sLh8NhAqIur0gdnjAznr6LQzFwq3BzdbFWwaLZbDKZTOSGUqlUZC92a2uL+/t7YrHYWtSlmF0VoAgRdMyPK80TASzbcDgkn8/L0vi6193c3JBKpRYytly+gMPrxx0IcXdzzU56H5tNxaWa2avt8euuQ/yKvtOHH364IiieyWRWgqZ8Ps/hI4WhYRhoui5pDZfP9Yd+p+gz7s6/x64YOB0OtlN7zJx+bn4AWTz/u3mErzrqMi1d0O10SG4E0dxBJpE9DLvL8v2DwYBvv/2Wn/70pyvXWmSBwWBwZQMTRAiOaZ/zr7/kmR9oVUA3KyT57oSI24bP4wb/JgSjENjE8G9wXahIh/nmzRtLpK8VGQQ8EXpsbm5Sq9XM44z60KlCpw7tGvQe6I6n9CYaCb8T7E4T0bt9CMEo7XZ7bcnzh6gLl89lJZg0DHJf/YItt4J7Ywt92wyORRtpfk2LIPn58+dyzeu6Tj6flxSnPp+PcDhMv15k3G2RTB9gzI1SCQDmclVj3aifmIbY39+n1WrJ1hggedJfvXr1F0/G/w6otGQej0eWNTRNsyS6D4VC+Hw+rq+vZRm21+vJ4W+3280nn3xCr9ejXC5bOgpBV3dzcyNBB2D2+UQ2enBwQKFQsBxeF+QB9/f3TKdTNjc36XQ6UvoNzB5rp9ORAsPzlkqlZOa1PKwfiUSYTCYreqZgztCKEvNyuTQcDvP8+XM0TVtA9WkGDHUV7+YW5XKF6NYWTgXctiensm4+VZzP5eWllKFaLpvv7u6+FWgSiUS4urpic3OTh4cHkwlmaR5OALLE6ICweYcq+lOXl5eEQqEV5G4oFFopqe6mdri8vMSJTtjnwWFT0VEY6zDWDZwK6JOhJNJftsFgwIcffrjCgiX6qPMmQB+zx6qIqijoFmQRf2psqys2Zq4ABzsxBq06l+dn7O3uoBhvkU1bsvnvpLsD3BsRjva2MHpVbKMO7vL3TIMJYPWcbDYbfr9/QZdX2PI85rzNZjPzPjidJN//jFKvR+L9f4B2Db2RZ3h5Sco1g9kUWmXzBxNbbu/pjFsXFHpT0hthlJs+hv3R+dmdYHMQtju5LBWJulWYjmAyRh8POL+9J7PhwzO8p19t0Cv8Hj+zlfML+HyUbQ5470ewmZKoZXiad7VyqoLcYjn7E9zby3PJbrd7oU+sNu7IBB2cFR84Pv5Mvlb8fTQaycxW4EoEJkE4xkwmI9tTwtlO2m0atTrV3pjAxtO6V1WVP/zhDyvIcTCzeaseq6IofPHFF3z44YfE4/GF50fTNM7Pz/+qkcF/bvuryFTnM7t6vU6n01lLZ9fpdDg/P5d8q8sPATyVTFOplHyA5nVTwXyYQ6HQWkBNvV5nMBis0NC1222azaYkRdjd3V2RfpvNZnKw3qpcLQIDKyL/XC6Hx+NhMpks9HQURZHns0w8D0+qMU6ni5EOIx3MLcugfHfD/m4Kt2u1xykoDEUEOz/OBGZ2b4UkhvXZg7DpdMrnn3/O8+fPLRVD4GmUSUTsw+GQXC63kkHPZjPu7u5kb9Uq0p83MY7x93//9/AIaBrpyIz97tpUovHYFexzj49AQ25tbZmKNRcXHBwc0O12UVV1JVtezvZUVeX+7k4iyYWcnCjjzT/rrVYLXdcXSnvzYzjqbIx91Ob1xRV2m52Tl++j2d3wOLvY6/UWHIGu69zd3a3VWVWmI5zNe2zjLg+9IZrqILD3fIE0IpvNsre3RzabXZDu6/f7tNttNjY28Hg8Cxt2pVKRQgLC5jEK19fXJq2lzQb9FnTr0G2YP70muq7xVWXAbtBJ3Ls+2yj3p/gcKgGnjfFM57o15mTDjf2xrm8YBlfNMcebHlN5JxQ3M+JgDNx+qtXqCoWgsFKphN/vl8Gu4NTtdDrk83nLfWIZkCcIXSqVCu+99x5qr46temUe37aJLRhduNfzmem83d7eLoA2xfWfr1Yp7TKKPuOi0ia5t7+wlwh5SkHnuHxsAcybN6FkY/UeMbYUi8X+YpHB78q/vH1OdTKZcHt7K/uX80Lggoih2+3KcrCV4wLTefV6PclQsrW1tfDwNZtNHh4eVtRHhHW7Xa6vrwkEAvIzRM9CAFQMw7BEVf6QY724uCCVSjEYDCSNmLBqtcqrV68snec6QJVhGJyeX7Bz+Az9cbbUrhh4baBi3eMUdnZ2RiAQYDwer6Cwy+UyHo/HcuQEzDKY1T2oVCp0u125iS1n5vOWz+eJRCLYbDbu7+/XlqRrtZoEdYjh+nX9nkKhgNPplMocwmYGNLsDGs0mW0mzN+pQDNw2E9QkxrCEiZ6truu8ePFi4TOEeMOyY7997BXPy8ldrSkHLwePK71YXeP+4nviIR+l+gMH+wcYvgi32buVHusyV7A4/wWwi2FgGzxw/+ZrjrZCKIqC5g4xCacwHG7pgJf79UJvdDqdrjhVq1LoZDKRzqhYLK6lIzR0jVmrxu+++IKfPN/HgW5ms7MJaI//iv8/m3DZ6LEVDlEezDhObaE4PWbf1ukCh5vbaoudwxNcntWAdd25GoYhhSaEk1RVlXA4LElkxBz0vLVaLUajkVz/0+lUUo+q2gT/oIIC6P5NjECcQqEgR1ZEOVXM1M8HR4L0Yvl5K5fL2O12opubKK0CCqAFtzk9N9fCfBVL13XevHmzIgMHZuAUCoVWAkTxuZlMxrKtc3FxgcPhWHsv/1vaO6fKDzMqCVDLw8MD6XTakrB9NptJQnjxwA8GA8pls7TkcDhwOp0MBoO1ZAQCmCIYlpZHZjweD61Wa61zrNVqTKdTy17odDqVbCUC5CKALEIQ/P333ycUCq1Qpa3TIhW8vvPgAuMxC3voDmg3H0imUnhtT+QI4noL1hvDMCT6T1xHwzDWOt11OpjifOZ1KAeDAfl8nng8LqPaHwKZAHz33Xc4nc61DlXY5eWl5NZdhy4WzDn7+/uSKWo+U766uiJzcMhYV5jME1zMJrSqJfbTi6jH2WzG559/zocffriwsd7f35NIJBYW83y2KOTkAK4eRR3mzaqnuU4r9Xh3G3XU4equwGYkTH2okTk6WXnd8vGsBM0Bbq6veLbpxt6tPNYzFIaeDe77sJfOAEjCezGHmclkJKG++M5itMsKKX17e0u/3+fVq1dvvafn5+ccHh7Kdfg2+/bbb/F6vWtfp+s6Nzc3a/8uCB8cDgelUonhcCgDyVqttgCaErYOeAdr1sZkwOXn/8SLZATdF0HfegaKQrvdltq/8yo5gkc5EokQDAax2Wz0+33q9frKM3N5eclechvPpI2hqBihBPqjcs8yO5TIPq1Yo9YxLIkg0uVyLZyjYRgyIRmPx2srRP+t7F1P9U8wASkPhUI0Gg2zHLbk1Ox2uyRxGAwGktFmOfofDodyXGC5J2m32/F6vfz2t78lGo0SDodXRmZisZh8//KNi8ViUulmd3cXwzDodDo0m005MvOrX/2Kk5OTlQ04nU7LXuHydxcb2fIm6XA42NzclP0c3YC+ZpY1vT4fo04T26iLcy4znE6n9Pt97u/v6fV6OBwONjY2FjZvMZ+2zJsMkEgkJJJ42RwOh6R8q1Qqlo5REJ+vo3Vst9sAC5yn68zr9VKr1dY6VDA3TuHEY7EYNzc3+P1+3G63HHWxqwp2FdwGDDWDqaGQy+fZ2Usz0MA9h4guFot89tln5HI5NE2T98tq9GS+z6Y9cgXPplPcLhd2m00S9S+TFYB131WMbmgOL7rq4PjAQaVapVYscJjaRnMFrAmSH63X661c98lkgtPlZhpOMfNFcbby2EZtKtkrDuMbGF0PM38Mt9tNMBiUPL1WVigU1jqweDzON99889Z7Kta23W5fmPW0MsEpPC9KsWySTtLi+oLZI/3888/Z2dlZ0SLe29uzZGdSFEVqoy73I5fXhjJso5bPifldVAcaG/vH8v6EQiFJMzm/D+3t7Un5x1wuJ51ZrVaj1+vJcxRKNBcX53yQ3gK7AxQF9RHrsez4bTab3B/FvKumaQyHQ7xeLzc3N6Z4/dL+43a75XNj1drpdrsrGrj/keyvNlOdt+l0KlGegiy6Xq/LsqkAsDQajbUjM/PUhJqmrYzMuFyutWUReIpWd3d3FxaimDntdrsMh0NisRihUIhwOLwguizEtpdtOBxSXMME1Gw2GY/HluXlu7s7IpsxDJf3sdxr4FENJv0ur1+/JpFIyOtgt9uJRqO43e61lG5vi8bBzO729/dXSkm6rpPL5bi7u+NnP/vZ2mhRzH8u35t5usd1ZB/z12M4HEoxZ6v+jhWieD7zv76+tnQCU93g4uqG5L74m4mQdqtwc/NUEha8zoFAgGKx+Cdln4KIw/G4keq6Tr5QIBwOLzxLtVptRcKtXq/jdDqf1ohh0KsVGHXbtHs9DjNplECUiWasSNG97XzEGI8wddjm/vuvONkyP1u3OZmGkmjeDX77u9/x8ccf43Q6FzLVt8mrgZnFBQIBPB6P5b1a7inqj6hpq+dTgNeOj4+5vb0llUqtfdaW+/Ti/cKB9Pt9MpmMJaJ13bF/KFs9Pj5G7TVQq1coGBjuAG86Ks9evFx4raZpJp/00nEqlYoMdudNKPMoisJ4PKbf79Ms3lMpl0imdjFcT05eCJVbBVGVSkXec4/HI2fZy+UyDofDEqRVLBYB1lbhBCmOVSD+b23vyr/8y/RU7+/vabVasmyxHGGJGbdMJrMyK1YqlZhMJtRqNTY2NtbOXxWLRUkrtmyTyYSvv/4ar9cr9UnFuaiqSrPZpNfrWUb1IpOzQtoKKLsVGEJcH3GNNE2j2+3y0O5yfZtlK5lCVcBjB5uiyE2sWq1almhEb9qqnF6v11FV1VJ4ehkoNJvNyOVyGIZBKpWi0+nIfqeVjcdjyuXyghO6v7/H4/HIaHi5lDxvw+GQcrks/yY2suVy1zxd3PLnX15eEo1GLe9tLpczuZQdLoY6aI+Apn63A5MhO1txmRAWCgUajQYvXrxYnNf8AVJ9VVVRH2n1rq6vyaTTC/jbdaVfqxLxQSqBY9zh6i7HRjhEe2wQT6VxzGV5ywT8bzum6A8fRn042iVU3cwGpzYXlx0YGTaOT04WeqpWeqLChOCDIJWwmrO+vr5md3d34f1WxxRtFKGd+0MlXnhqOUwmE7LZrFSEEnOh66gP33bsXC4nqVHnbdDv83B/QcZpCsfrvg30+DG9wYBWq7Vy/ZfBgcKssj8xGyydsK6jtEs8tNoM7T6Su4tBneAHXyZ1EEGF1X0olUoAlnzNImFYFnuoVCqMRiMeHh44OTn5bw5geqen+i+0vb09dnd30XXdEvgitFNLpRK5XI7b21tubm7I5/PEYjEODg74yU9+QiQSWdFBFCYWtCDivru74/b2ltvbW8rlsuyrifJpLBaTi0CwQOVyuZXj+nw+Njc3pWD3vIXDYex2O/V6nfF4TL1e5+7ujmw2y2w249tvv+X6+prb21tTyWJmEIgn+eDHP8GuwqujfQ7398lkMnLRi5Lssm1ubko2p2UT8lRWfxPIxoeHB66vr8nn8+zt7XFwcCCZXITAupWJHo3gTr28vCQSiSyUlxwOBzabjdFotPBesQnOOxzBkjNvb9PndLlcTCaTtfN2k8kEl8uFQ4WADXw2AxWDRr2GdyNOV+NRYMBkeppOpyvft9ForKCc56+lrutPlHsgR3D+S80wDAyHm4kvyuHhobnJFe7xaX0U/Un/dHnkQ7zXKpgUbD6aP8Yo8R6TkCkpVihVOHINeOabcnf+PRiG/E7zSk7LNk/ll0gk5MYtTIDYlt+/rFEqENjz+AJBDylYwqxsa2uLP/zhD7I8PU8uY7fb0TRtoWcoTBxbYB/mTTA7Ldh0jL99z7iWN8v6oW30rRNQVfx+P4PBYOVzrK4HmNSEogwsTLR7pEbrZICCwcbGBjrqipZtLBbDeFRSmjePx8Pu7i4XFxcrn5tIJLDZbKvfDbMKqOs6v/jFL7i6uuL6+ppisUg0GuXo6IjPPvuMbrcrs9r/CPbvyqmC6bhEL3JBTPjxQbq9vZV8voKmMJ1OL5QootEosVhMzsUKE0603W7T7/d5/fo1Ozs77O/vs7+/z97eHi6Xi0wmQ6fTkSXk5fPz+XxrH1CHw8H3339PNpslm81Khz0YDLi6uqJQKEhy/0wmQyaT4Wc/+xmappHJ7BPd2cMV2jBnXd1Owl433W5n5bNSqRSFQsHyGqbT6bVBxe7u7sq5iyxmPB7LEROr8pmVQPPy597c3HB2dkY6nbYMjAS3qrB1KiRixlRIcD08PBAKhdY6TQF46/V6K067VqstZO7KI2VjwGbgegR7aYZCd2b2r0fjCfF4HIfDsXCunU5npepSr9cXAgcD6A8GUsdT8MZaEd7rum5JQPJ0oipTV4joTga/38/F1TX2fh3bdAiP7E7LGIJ1vW0RVACgqsyCCYaJ9xk6AjjsdnzKlKjWZHL3GqXXoFwuW1Y0xLHsdrs892AwSLfbXXAu62ggRcYxHo8lGtUKJPi2Z3g4HFIoFPB6vezv71u2E9LptGWA+7Zjz8+hYhgo7TK23NeowxZ78TC3Yzf6Zmahx72/vy/J7ectlUqtBN8Oh4NAICDHqoRtbm6az+1wiDIxA2XD5SO1uyvbJ/OWTCbpdrsLgudg4hF2dswZ7mXb2NhgPB7z+eefc3Nzw/X1tQye4/E4n332GZPJhEwmQzqdXqgE7u7u4nK5uLq6+pPnsf+a7a8WqPQ2ExmpANeIjWNZ2abf768oOAjz+XxkMhkJUHI6nbjd7oVek9AaPD4+Xnn/3t4ehULBkqwhGAzy8PDAH/7wh5Uyq8vlkmjM5fft7+9zdna2IiZus9mIx7e4yRfZ2DZLxB7VwKWCN5mQvSsr3mErcnuXyyXFAZah8x6Ph9lsJin8hHiBEIQPBoO0Wi3LMq8gELeaHQazJ9put3nx4sVbeYEjkQjNZlMSSKzrswoCiuPjY+r1+lsVTxqNBsfHx2xsbKwgqzudjmVfsFQqktlN4rSbYKaJoTDRoZArcrC3i8dho91urVUyAjMjWwZ7lMtldnZ2TMKIx5Jwo15f6WstO2RxDRecmaLQnRoEt1IkAk7Orm843NvB7vGBBWFEv99f+Zzl7FXXdXRdZzweo/mjdGMJ3IM6W4rKZaHKhuuaXr3L/rNX6NMAqmPxXlqVVgXw7vDwkFwuZ+lQhaXTablBHxwcWPJD2+12S8CXmEV//vw57XZ7bRAh+sNWmbvdbpfXYPm5293d5fL0e16EgGGH8UyjbzjoupPc5YtMrq9X3lMul1eIM+x2O+VyGZvNhtfrlZMKW1tbnJ+frxCdHBwccPr9a14lIxiKAk6zl3p8fLwARBKWyWS4vLyU1Z/BYEC/32c8HjOZTPjVr3610Cu12Wxsbm7KtWe1Hp49e7aWCGJzcxOPx8OXX37JRx999FetzfpD9u+qp2pljUaDVqu1dtZUAAOSySQ+n08i6gDZoM/n82xsbFj2BTRNkxqgy45AlKaEfJwwm80m1Wt0Xbfs4Qmez2U0oRgTWnYQAw1us/dsxKJs+L245tatmAm06hHd3t4+kkKsMvzMAy9msxnValVmCOVymU8//dTS+b1tRGY4HEqFEGGappkI3GCY4MYmV1dX7O4foShPaq3K4/8oj/99e3WJy+0itrlBJLgeFdxut7m8vOSDDz5Y66iXB/sFp7QQZOh2u5b9pOXe41SHoQbZ2xt29w+xPc4BD3tdstmspVjDn0JNaLPZTIdzcLAgJ/en0BDCE2GDqiio0wHZyzPsNhuhYIBALIn+SBix7phCYnB+1ENRFIlodzqd5gavTVHbJb779ms2fG7SsTCGoqD7NjHCCXD539qvzGazbGxsUK/X10q5Cfviiy9ke2WdzffgBV1hOBxeCFbfNg42HA6p1WqWxPHz2qmz2Yx6vU6/00LtN6iVCoS9LpxOB87NFN74Lp5HjIUQaJg3MaYi+pnGYxVhMplIPvHJZMJkMmE2mzGbzUyRhqVgeNKu89BokEgmMNxPe+Z0OqVara68XsjfpdNpQqEQXq8Xl8uFoij0ej2py7xsQmnKag5cXOdoNCrZpuYrdsFgkEajwc7Ozltn0//c9m6k5s9om5ubBAIBzs/PVwBK8KTk8f3338txj+XIVVATWvF/2mw2nj9/zvn5OV6vd6FcrCgKyWSSfr//mE0uHtfv91MqlSyzWUE9tiy2LigTxewa8Eivp5DY3aN4fcb282fMi4c7nU5JkrEMfshkMivl0+FwKAfXv/76a1k2nefyFUosViaIvq02PLvLTas/wtmfoqHSeGjQbDywmcrQttlp93RGDj/ZagtvYH0w1dJsTBpdjEiKWkvDaQOnqsz9q+BUkU5gXdnXMAz6/f6C03S73ZKKTwRkyzYcDleeJYcKk+GAoNcNGI8lYQOXN4Dd7qDZbC702Ocp6N5mor83Lye37toL/dB5m8+odKeP9IsP+ePnv8HtcrI56aJpY6bOAL3BcCGIE9lYp9NhY2NDfr6qqma/V1UXz9/mQN/Yw4i2GaszdIcddTrE1qtDr47u9HHXmpJZEs0Wlk6n+cd//Ef+4R/+4a3Xo9VqkUwm5fVcZw6Hg9lsxnA4lFnwMhL1bc+qx+OxVJzRdZ1KpcL9/b2pYavClmPKjq2NElQ5CqQ4qw/J/OhvwLH4eaqqrtx3RVHY2NiQ1I+KomC327Hb7ezu7jKbzVYCb0EwI897OkKNOKkEPOi+DbYSiw40kUjQbDZX0OgHBwe8efOG3d3dhezR7/dLxanloMPv95NOpzk9PV3gYRbOXlEUzs7OsNvtHBwcrCQ0sViMbDZLv9+3TCj+2u3ffaYqTCAvg8EghmHIcRu328329jaqqlKr1SSc3srq9Tr9fp90Oi2Hr8Wmraoq/X6f3d1dywisXC6jqqplqSmXyxEIBFYyYV3X5UjB8kZZLBbNMnEwTFcDUHCrBupsTKFQWHEEov+USqUYDocMh0PZ3xD9rGAwiKIochzF4/GsHXVZ18sUJt430WEwMxjODAYzg5kO2mxKvZgHDDz+AMENc2NQMB2TQ1Uo3l2zkzEjeuPxf8SDWq8Usdkd9DptNlLWFQgATZvRyGfZy+zzULzn5PgQr11ZAP/c3d2RSCQss9iLiwtUVbVEelplhPO/N1AYaDB9RAnnb685zOxyd30l+YKz2eyK8H2n02EymSwEWULIYe/xtQKEc3d3x97cJrnCjjR3TisI4Zsbwl4nw3aDg1QCA4WLYoPU/hHMOW2RzRwcHEhHCtaKPOL119fXciQj4rZh61awDVrousZNucnRThTDG8HwR00FFfWJPUjIv1mhz8EMMC4vL3n+/DmFQsGSyWjeKpUKV1dX/Kf/9J/WPidvy1Z7vR7tdlty7o7HY1RVNYU8ZiNKV2ccBEF5XEuGO4C2sUe5PcDtdq+s6eWsdN7mlWmWz89KKOTy8pJ0Oo3T4UDpVFD0GYbLz02lSTweX6lyVatVy8qYruuyRLxcmh4MBuRyuZWsVNM0KpWK3FNE739ra0sG3j+0n9ZqNTqdztoq4p/T3o3U8Od3qsJyuRy9Xm+F4ktYv9+X3LLiIRaEDQ8PDwyHQx4eHjg6OiIWi6086Hd3dwSDQcue4tscazabJRqNLmwQAlAlNGPH4/FChlIoFglsxrHZndgelWUUxeyrWZHyC27i4+NjPB7PwgJa5zzfxohTLpfx+XwLn2MYpvMsN7vU211C0VV0abdaoFXO8d5HP8LvdeNQFRyP6jDi8xuNhozg500AtaLRqCzBJXfTTHSDicbCv7nrS7bSJkVis1LC4w/g8fnx2hX8DgWXolEu5NaWGq+vr5lMJivPyrrRGLAuCT/0zMw/nkhiMzQKNxfsZzIUi8U/qXyby+UWCNBtqkq5XCYcDuN+FOkG6znWTqfDeDxeyMSEck46nabfaVG+u+Hl/g7XuSKZdJqhzQOqSbbQbDYlycPyeS4r8oDpxLxer6wOCbyCPh1z9+Yb9kN2XHOE9oaiYvg2MPxRzvIVnj17vta5gOl45tfmunEcQAo1TCaTt9KVCrS7Ff90p9Phq6++Ynd3l2QyidtuQ+nVUXs1lHGfy1KDg60IqidoZumeoCylrzu3crls6XDn2w7ztm52VdIV7u+gDjuPDErboKhr1XxyuRx+v39lf5rNZpyfn6+wK+m6TrVa5fLyUs62K4oiR+t8Ph8XFxdrqQt7vR75fH5lFKjT6VCr1RiPx8xms5Xxsz+3vXOq/Os5VTAdZz6ftxQuB/Mh/vbbb/F4PLJcJEgfFEVhMpnIh9yqrJjP5/F4PJbRtoDKezweut3uAuy/WCwSi8XkzRdZ42w2k9Rf8+fbmZiEFYfHJwTti8Q5YvDaalFZzdK9rX/0NjCQ6J+ONYP2WKczMeRoSfnumu29A7wOFbfNoF0pYGhT9h6H5+/u7t7aO7u6ulrIEvP5PF6vd8HR3tzcmGTsS/exUCjgDwRwegOMNIPRzODy8oJ4+imzrtzfsJtOE3I7CDoVHOpiJC60PBuNxsJ1ET3G5QzJyoGZ53hLfDfNFBVQwNApZ6/RpxNevXq59Nof7rGC2Qs/fgyCfkhObtlJF4tFwuGwHGMaj0Zkr84JuVSO0ykMQHcF0J0+S0k5WOVAtvq90F999uyZ7NHvZzIo0wGOYRvHsImimcjU4kMHn8dDILrFQPVS6Y1JHyxWCAqFgpQ2E7ZOHrDRaNDv92U/UtBSrrPlbLXT6VAulwkEAgQ8Ljq1Eim/ijJoycaKgcLUFeC2PePw5QcrzFXL8obzts7hWmmuApZ0mgDddotW/oZ0Mo7ujcAj2YPQf7YSu7i6umJnZwePx4NhGIxGIzqdDu12m2KxKOd1wdyDgsEgLpeLXC5nWTX7IUJ9IXnp9XrlHuL3+yVgUdd1Li8v2d7eXssh/l9r73qq/8rm8/k4Pj6WDEqCLL5SqUgnt7u7Kx37crbkdDo5OTkxN4kl7VV4Gle5urqSKMR5a7VahEIhdnd3F2606KNaCUCXSiW63a7cPCY6aIqNeCJBu1IglFrsoQio/vKGmEqlLJlfBKp3NputOCgxQrC8KRmGgd0X4ttcDaf/aVNTFQg6FOIHu/RaJRRFoTMes5tKrWwWQijeyub7XesibHFu89+z2+1iGAahx2DMY1fABd79JO1eDd/mFo1uH7vTycSwURvq1IYmQUbQqRJwKOTu76WzFhuOWPCDwcCyF1Sv19ds3AZ+h8rMMEvhmqJi9wUZdFrUanViMXOjtBqRASx/ZxjGgpyc3WbDtiYTW848+v0+0WgUTdNQFAWP10twM06302IwNfA6FGzjLsp0BNrqrGev11spLcLTqIwwwUZWKBSYzWYma5TTyUxVGTu8TIIJnPoYW/+BdqlJcsMB/Qf8PFApP6DRxuEPY7h8dGcwm4wIL4Ft4vE45+fnC89FvV5nOBzKQEj0/9/2rG1sbPDw8IDNZqNSuCfoVHkecqGMSiiDMZVSHSVp9jsNlw89EMPwR1FtDtTpLROLmdxIJML5+TmxWGzlHq6j9hRkGMvOUFChbmxsPAW3hk5QGdPGoDOa4vY7mQwGCwpWv/vd71acuqIofP755xKxL6ob8Xicvb09bm9vLZ3n4eGhJOGfD7AVReH4+Ji7uzsmE3OcTLBWiSpKOBxmMBiQSCRWHK+qqjx79kxWEdcpg/212H9IpwrmjTw5OSGXy3F5eUk8HieZTC5sCtFolFKpZPnw22w2SWsXDoclFF2YeCBdLpclcjSfz9Pr9RY2A/FwCvWa+Yc6kUhwdXWFz+fD4XAyfKwCbwQDNHotKRAuzOFw4PV6V7Qehf5opVJZAV2l02my2exKBuJwODAMQ8L+DcOgOzWoD3Umng0e7q7Z9kfwOxSCTrO02m61aDablEolPvnkE8vSkCBoWJdBhMNhrq6uGA6HBAIBy5K66OUIXmIhTWeVBQhu1R2HwUOrzGcnh/Sm0JnqDGc8/uiUdJ1uf0bMUPEZBomEOZbk9/vRNO2tEe/yRjSZTOTr7QoE7KZm63DQY+/oGfVqmX6+SHonaTneMRwOV4K22WwmnYOmaRiqCoaBarOZ/MGPcnIimBOAo/k5UHHdRCnPMAze++AjM9DcCBF26LRbD2w4ddRRB93lB8XcSNcxfxUKhZVKh0CAdjodCZIRIymz2YyJzU2+o5P65O+ZqTrKoIk6aHKwZXCeL/J8Z4LRMSjkarzai2PcPoDDjeH0YDjc4PCwFQ5QKRXZSiRlSXGZtSyTyTw924bxqGozRpmNYTomNOrx669e8zK5wcvwYxXHHALAAHaTCbJDg91n74Fz8VlOp9Nr6RNFgL3cPgkGg5RKJRlIjUYj+v0+g8GA8XjMH//4R0vn8+tf/9p0OoaBMuqiaBMMReEPZ7ekM2Zw7HQ68fl8Ekltt9tXqicCoLTcq3W73XJ0b9mxCr1pQY24UDXrdNA0jfv7e25vb0kmk+zs7KyslXw+v5Ydbmdnh4uLC7766is++uijf/U+67+W/Yd1qsJ2d3fx+Xy0Wi3LKFag5kRpTdd1qaUKj/qY9/fs7OxYPijValWy0cybECS32WwL5W2bzUYmk+Hm5mbFuR0eHprECMfP0VFRMPCo5nc4Pz9fARNsb29zcXGxonIjnNU8ElV8tiCVX85ExDnF9w5MZ/q4P9sUSCdieCYPuHBQrzapY0bpBwcHJBKJlREaYSKLX5dBiNKUmE1dZ4Jw/OjoyLJUuvw9vv/+e7NHaVOJ2CDiVpnqBp2JQWeiky/kicR3yPd0HCqEXSrp/QOur69xOBwrCEp4In5ftlKptPBcKIopBO+1gU0xiMa36bSanF7f4lRXZQKr1erKhlypVBZep+s6lXKZ+GNGJMgiqrUawWCQ2Wwmned0OsXv91sCs0RQl81mmfh9dDojjlMxmPRRp0M0d8h0ZFhnz7quW95Hm822Mtepqip2u11mVYqqojvdqG4/2sYuzCYE7Vnq+oR6vcrRbgLQUPQZjHso4548fhQ4y9dQi15mukE6GoZsGXMGyzxPm6Jgq9XRecCBhjJHAFl46DAcT/koFTHZqBQVw+UHTwDDHcRw+XHa7IwuL9HtrhXGHFVVcblclnPdPp+PQqHA4JGSUKjeiIDnt7/9rdmrdbvxer0kEgn29vbkKM1y1SgSiaBpGltBD+rIZQZPgRh7il1WzuYtkUhIGsb5XruiKDx//txSpUY4VislLLvdzuHhIb/97W8XWlWBQIBMJsPBwYHUk7ZqraVSKR4eHiSGQ9CLCoR1Op3GZrNxenrK/v6+ZTD+l27/7hiV/iW2sbFBMpnk/Px8ReFiMpnQ6/WYzWb88pe/lITpgkXp4OCATz75RM5xLls8Hsdut1vSdKXTaYkonje32000Gl1hVFEUhfT+AZc3N4C5MYvnfX9/n5vH38+biNCtPtvq90LfctmmhkJzZifb6DPRwdCmGK0KajMHgzZXlya9mYDQCwfj8XjkbKuVLTMkCRPKQW8jbBAmVEKy2Sybm5tvzSSFbNZyP9ShKmy6VTIBG1GnTszvQlVMoFFtqJPtAYEopVrdsrfcbrctnaoVa1Gv1yPg8xGwmSQdwXCYSHyb2/sCw5nO/KWyclRWakH9wcAsrT6WdO12O4N+Xyq8OJ1OXC4X9Xp9JcAT7QhhmUyG4XhCYzhl5olgKDYUQ8c+bNIpZgkHV9HtjUZjLYPSaDTi5cuXKxR7qqpKbINhGHIOU9d1sDuJZ044r/UJHbyP7egzZvufMUt9gLZ1graxi+6PYbj8GKoNj9NBqdFmd8OPos9QtCmKNkF5zEaV6YiDTR/ZYtkktEdhjJ3vK308Gwn2X35E5PADqs4Y2v6P0XdemcAjbxhs5v1bt2Zg8TnWdZ1yuSxZhwzD4LvvviMSiXB4eMjBwQGHh4c8e/aMvb09otEoiURCMqqBNSUhmNWzXrPBpGNSYBreMNhdkoDFigUqk8lQKBRWmJVsNhvHx8ecnZ2trE+3200mk+H169fc3d3J73J9fU21WuXTTz8FzMD98PDQ5MWeo2Pd2dnh9PR0ZfRL13VGoxGz2Yx/+qd/ol6vk8lk5HURmfaLFy8olUqWe+pfuv2Hz1SFud1uTk5OuL6+ltE+mKVPgbw8Ojri4uLCMhrf2dmhUqlYlopjsRi1Wk0CkQaDgSzzqKrKV199RTweX8kehEj6/IY31mE4GHD27R/Z3ogsYCN6vR7ffPPNSrO/2WwymUwIhUJy/m1eBFko+4gf4aA8Hg/D4fARgGTOSZbefM1eKknE42QrEZM90kgkslZyS3CZrpOGE3OYYlFWq1X6/b6Mkjc3N9fOEgrz+/18//33P6jjmMvl+OCDDygUCpblunw+z/5eCrfbRsxjZq/Nsc5Yg/ZgzMjm47zSZmcjgM+uLGQdyzZfpp23Wq32qN9rZq0OFXS7jcRumjfnl+zt7bHp96Aq1nJv8ybmV0U/fDabodvtOBwOM4NyOhdI+a2c9MPDw0qGEw6Habfb5Cp1Ujs7qOMu6qRPs1HjMJ1CH3fRnX4Z1TWbTcvRo4eHByKRyAJHrWg7jEYjnE6nVLTRNI3pdCpBJbquS0m1WCxmjt64fFJ5RXyvbqfDVK/iCY8ZJ9PYbGY53JzDenyVYaBgoOp5etu7NNs9+oMBJz/71LyHj8dKpj0UiiXLqpPT6ZRl6+VAqd1u02q1eP36NX6/n1gstlBNeBvtpyi1zptgMFppCYz7HMYDnF3f8eLlK3A9BYfBYJB+v8/Dw8NKgPPs2TPevHmzkpU6nU7S6TTff/89oVBoYQ0bhkEgEKDT6fDee++tVCeeP3/O9fU1m5ubK6Vqj8cjGZai0agcYVQUhe3tbZLJJM+fP+fy8pJOp7PyfkVRODg4oFqt8v3331tqvv6l2junOmeqqnJ8fEwul5OUYPMmiB6ur6+lhNu8bW1tUa/XOT09xefzrURpnU6HarXK3t4ekUhEspcIcMKyjqLIMgWzkmFAewZxFOq5W7a3t1bKI0J+bn7jTKfTnJ2dEQqF5MY7Go3wer2yzCSg8oqi4HA4qFarhDbj9F0RXIZKDPDZFfQND7GNjRX08HxJedl8Pp8lQbiwvb09SbAuZonnN/m3HRvMzblarbK/v0+3213L1CIG+YV4wTLphmEYjMdjGSioikLYpRByKow0+K7UI3lwQuHmAt1xjMeuEPWo9BrWVHdWZX/xOfMbhE2BbrXEfmqHsWKjcHfHIBQk4Hbg8y1m1IIWcp4QQpTPRbCkqqrJuiTu6eNn6m9x0MsbVqVS4cWLFzSbTbJ3d2QyGTS7G10tm2T/4x7qZIjmDjJT7JbBAyDHz8CsCN3e3soy6f39vQxsBKmEyFQnkwm3t7e8fPmS+/v7tUQZk8mEQrHI8+fPmc1m3L5FyNwAUoc+fvGLX/Dxxx+TsAjyhGTfOmEBQad4dHREu92mVqsBZu/4s88+4/z83BIjsLe3ZwlAgiee3+UWiamNesHGxgZ2mw1GXdRRBxSF9P4+t9UWmf3F6kgikeDy8hKfz7dQzTAMs7Xwm9/8hu3t7ZXv5vF46Pf7luc3Ho9XiB6EHR4ecn9/LwFKYAb31WoVwzBwOp3kcjn29/dXHL2iKJycnKz0WXVdlzPBYCYlp6enluQdf4n2H3Kk5k+xRqNBp9NZC6LJ5XLSCS2XVcTmYDVysE566W1ED2LeT1Ns9DUFBYOgzeDiYrXnMZvNyFpsLP1+n1artRKBN5tNNE1bcS65RofiQ49wbAubAnGPStBpfs46zVFBR2ZVBux0OoxGo7VC5Kenp4BZPrZaOOuOLUYHxHVYHsOZt2U5uOX/L0ZNlgMGQPbEYtsJqt0xV7d3bKXN+9ss3PLBs0N8jsUNx6q/O5vNKBQKa3VWtUdR+XK5Qjmf4+Mf/Qif3RzDMQyD+/t7SdYv+qSVSoVYLLbgdMQ4iP+xN64oCg8PD+iGsXANp9PpD+q+imAwGAzidrkIeZ3YRh2UR+7gm2KN7cwRDvfqmFaj0VjoCYvZykQiYclQBk+zkYZhsLW1haqqkvBh+XWnp6cLWcz9/T3RaNTyHo5GI25ubggEAoRCobX7ymg0olwuW1Y9ZrMZv//97wmHw2xubq4gezudDr1ez7IqIypGVt/55uaGnZ2dlWdf13UuLy54vreFMhZk+QEMT5BCsShHjGazmSTJF1SQ88o7YFZz7Hb7Wu7eTqezliJS6KM+f/58JYDqdDpcXFzIfcTn8y2UgwEp3rEO2VupVLi4uCCRSEhyjfnnWYztRCIRy3niH7J30m9/Aba5ucn29jbn5+cyK6jValI1Zjab0Wq1mEwmsr8qftLpNFtbW5Y9EUEYUS6XF34vmHsuLi5WSn5HR0dcXV0xfgQHuVRQVcVS4cJutxMKhVYUcnw+nxy0njdBkC0+0zAMKkOdgc3HaNDDb4f9oI2QS5VBhFTiWDIxlmBlwWBwRRUDnjRuBWJxXSRqdex5fmKxefj9fllqmrdyubxC5L/czx0MBpabMTxlnQ5VYSfk5kUqitGtga4z1RVyPZ1cV2M0e0LcWmU6Vtnr/P22Kaa03G5iC5fbVPZoTXRGM3MkZDab4Xa7cTqd8mc6na5kcYPBwKxugEQCN1stNpb6vlbnM49YBvPeJRIJzs7OCASDGA4PM38MzWkeX5uO8Uza2IYtmJOWsxJrEGW9b7/91tK5CGu1WsRiMWazGdPplFgstlLtsALn7e7uWvYVW60WuVyOFy9esLu7+1YpMrfbzWw2W6g0jUYjLi8vub+/58c//rEkcVm+x8FgkF6vZ0kjGYlEaLValpJyIgNeNhWDmNdG4e6W6kOL62qH63KDm9tbxuMx3377LZeXlwtO6/DwkJ///OfMZjOJcTg4OCAej7OxscHm5qZlOToYDLK5uWl5Hg6Hg+fPn3N6ekqpVFrosY5GIz755BNZdRAMdfMm5mLnlWoeHh6kXNxkMuHTTz9lMpmsOFR4AtEJ7vO/0FwQeJep/qBpmsbXX38tuTCXS4uCMHodP6xgZ7IqrwErG8twOKRYLK5Ekt3+gLtSjZ10mqDd3HzB7D+K/su8XV5errDIrBNYHgwGNJtNEskkxb5Ob2o+EgFjiDLqrkTdgorOKiOs1Wo4HA7LIfBms4mu62xubqLrulzY6XQaVVXXEgqsO/bFxQX7+/srEehytrouewczQ9jd3aXRaKywQwnTdd1y5jebzTLTNJwb2wx4CgaCToVps0x8c2OlPG+VvQopLwF0Ev3F69ss0VSGu9sbtnd2iQS8lO9uOT4++sFjrqMmFNfXMAyMNa/LZrMrrQhBr6fr+oLUWqf1wKTzQCIs+pwKusvH1Obm7t6araper9Nut+Vs5LJdX1+zt7cn+6oCvSzugdPp5Obmhq2tLct5WaH5K9oFQgVmvrwquK3Xcc+KZ2Z7e5tisYjL5VrI/KrVKna73bIq87bnbTqdcn9/b/mc1+t1Go3G0/OsTWHURdF1Ko0mRy9esrG1s7Kmz87OVlRowJzXbjQalhm30Ga2yhxbj+NwQlCiVqvJQMAwDFqtFu+9955lOb7f73N3d2dZKp5Op2SzWfL5PMlkklgstnL9DMPg5uaGYDC4KIloGJRKJYbDoVQPOjo6WiuSsWzvyB/+gsxms/GjH/2I29tbSyBOOBzG6XSulBLB7FPs7e3x+vVrtre3GY1GCxGsmOO0oiv74osvFjaciQ69Tpfzb79ia8MULff7/YRCIXK5HMFgcOGhEWjg+YWtqiqBQGCFWN/r9ZIvFMm2p0wMFQVI+FSCzgBXV5WV/tJ8trrsNGKxGFdXV5ZONRKJSJ3byWQiN05h6+ZnrY4tnKHVQhHgChGMWfHhChOjQsDaDXZevGDe0uk0v/zlL/nbgwOmOtSHOp2pCW6qPgzwbGzjNAxsj9duXfwqiM4l8hUzio9HNwm77XifP+f27o52S8VudzLTDeyP7E+ixzpvVgAp/bHHqj8KoCuK8gTiWTJd11eAOJVKhVQqhdPplDSCNpuNWqPJ4eERs9kEddxB1abYxj2y+SsymQPzM5Y2+4eHB05OThb6q8I6nQ4ej0feVzF6o2maJC4JhUKEQiFLhwpmL/Ls7IxoNMrd3R1er3elXxkOhzk/P2dra8uyojCbzSiVShIhu/yaeDzO2dmZZFmbN7vdjsvlshxNExJu7Xab4XAoR/OEWMFwOGR/fx+nMUUZNFHwYah2Mi8/5PTyms3txc9SVZVMJmNJmxkIBGQpe/nZjkajlMvlhfXW6/Ukn3mv1+M3v/kNh4eHMugVJgKsnZ2dFRS9INY5PT3l6OiIXq8ng0a73U46nebw8JDLy0vLkRtFUTg8PJSczaISMw9wEufwX1MO/te0d5nqf4GJYW2r6K7T6fD69Wu2trZWNjSHw0G9XufVq1crTqBYLOJ2u1citlqthmEY0rH2ZzAxFGq5LKltcz5MaCCORiOKxeLKeY1GIyKRyMqCWqZk0w2D2+aYQiHP9m6GlN+G167IY9RqtZVN6W3Z6rKUmhCI73Q6sq+7znH+ULZaLpdpt9s/SGkmstVms8lsNnsrcvjNmzeEw2HLPtjbzklkHaKkCTCaGVQGGnfZW+K7+9gUiHlUQk5FMvaIgEPMbgoe3Xle1bu7u4VrO9EM/vjNa1SHg8zhMQGnDbfNLLEuI8fz+TyxWGyhlF4sFolEItKBKSxmyGITEBWE5SBkmX7w/Pycw8PDRfEGw0CZjVCHHa6yd5xkdjEUG5rLj+HwgKJQq9Ww2+3mZz72VwWO4G1k82A6OtEeefXq1VpwFJjVl6+++or3339/7f4xHo8pFosL31WIEiiKIudFrcA74jPq9boltefydxFOWuAvCoUCP/rRj1acrj6bcvHdN7xMm2vWcLgxvBvw6HBLpZJl9i+ySat1tSzYoeu61C6u1Wo4nU4ZpESjUXld2+029Xp97Xq8ubkhEoksjJINBgPK5bIEG+3v71teHzD73w6HY6H9IO6JQIJPp1OeP3++NiOtVCr0+31LcYt5e5ep/oVaIpGg1WpxdnaG0+lcGZj+9NNPub29lUr387a1tSUBNfNRXzKZJJfLYbPZFpyEoOYTGZfIbzOZNDcXZ5ycnMiIHR7n1+YAEoZhMBwOef369crAuaZpfPfdd5IVpdTXmSp27KpKwqXhnYsg3W63nDNdzlZdLpclKlMgEEejkexvzgvEX19fr3WqQuTcKtMFc9F1+332/QF0w1hQnLE6Tq1We+usq2EYOByOlVlhYW+bvywUCmQyGVqtlhx9cNsVPKMHnu1u0VfNCkN5oNMaw7DZ5tlBRlLmwdMc6zxyF1gpnTltCtGQj41EiuvrS2LbCSKhIOPxeGXDmUwmK8/faDRayAgN4KHZ5EBsRo/l4GKxaNnzXUAr22y8ePGC3/zmN7z33pyMm6JgODzkak22d/cxFB3F0LCP2hjjHprLT6vZ5PjxfoisRARnAlyzzgzDwGazSS5sIbC9fK0EoGtzc/OtaFGXyyXnY51OJ7VajYeHBzKZjHxfLBZbK2Tu9XqZTCYrAuPiuzkcDr788kvC4bCkbBRrZXt7m3q9/uRUDQMmfWxDc1wrV66ZKk3ugMz0PR4PXq/XUipSyKktM6sNBgM5J7uxsYHL5UJVVSKRiJyzF7P3y8+5EEJfp498cHDAzc0Nd3d3MoD2er1SaOHo6Ii7uzvLTBlMRHSj0eD169cLkpLzNK0CNxGNRlfOT9M0xuMxo9GIb775hufPn/9JUor/2vbOqf4Xmij33t3dWRLqP3v2THIKL9MGHh8fS3DF/Pt2d3fJZrOyPDv/e7ME4kKzmYvcpjwNhs8/6MFgkGazKctpghDh448/lmLKwgzD4Pvvv6dYLNIaaXQe6ZGibpVv//gHiUL0eDx4PB4J/lhGiKZSKekgBYpYmCAUsIqqHQ6H3MjmzTAMvOFNvj+/JGJ4mGgGE11nohmMZzq13C2OUIzx1EvxsoHN6cKmgF01yfDtj2o35r8Bbn7/Be99/CPaY42AU7V0wAJMMx6PLWdhW63W2khdzHxubm6SzWblte/1ehwcxE1w0NikcxxpUBvoBPoam06zfGuz2aSIwfymrGmaJcGEqihEPE7ee/Gcm/s8nVYLXTOYaAZO2/oo/a32GGwJxzo/UiSsVCqtbIqKorC1tUW5XMZuty9kXIPBgGTyiJlhoE4GqJMeiqHRyN+S8LlRJ310hwcUFafTycbGhswO38agI4JS0Zvb399H07QnkXTMZ0hoJ7tcrrVjLMIymQxv3rzB4XAQjUZXsuTNzU3Ozs4s+XvBdCxXV1cycHt4eJCAus3NTcl5vFzq9Pl8NBoN0wm6HSZRv2a2l4LhMI2ZSl+34Vv6zO3tbS4vLwkGgwvrRwDY/vCHP5BMJuX+4vV62d7elqxrqVRqJdDY29uT+IZlxxUIBLDZbLLkP51OFzh9xXUzDMOSNS2dTkuAp6gIGIZBtVql1zNZsQS46/j4eGVPEGM3xWJR9voLhYJseySTSfb29mQvdl2f/t/S3pV//4UmdB3T6bTlRnB7e0skElnJuDRNk+VXwbkq5g2vr69JJBJS1xTMB/D07Jytg2eoqkL4UY2m1Wo9bl5PJct15TMrZRpN0zi9usUezwCw7VUJu1QKhYKMrIXuqpBYE9JP81atVtnd3SUWi60AW6yoFuEJ+LOb2ac91miONFpjjdZIY6IbDOplXMEwNqe5uevajF4xiz+RRrWb3MP98j3+xCpdoLBxp8m4/YBnM47DG0AFAi6VkMtG2Gkj5LLhtUP2ceYQVuXv1mmGgnn9Z7OZzBjEZv7s2TNub2/JZDLy3s50g3J3TKneZGMriarAts9O2KVaXqN8Pk80Gl1wbr1ej16vJ53bTDfI15pcnr3hxQcfEfZ78dnN8a5arbZwziJgmP+d2BxFZijuqgAuzW8KVuXv+XGZq6srtra2CAQCliNaGAbqpM/V+SnPMuY5GCjoTh+60wuqjV/96ld8+OGHa2eM5+e1wSz7CYpPwSClKAqXl5dkMhl57R4eHphOp2srI+VyWZYp11UkxmNrjeL56yNEBiKRyAJocF6pZ8VmE05ff83LtLmuDEXBcIdMpRlFkeT1y2uu3+/zhz+Ywa/4m81mk8+MlYQbPO4lp6ecnJxY9jOtZCuHwyGVSkX+u7+/L4n4501UhazkI8XfBbZEIKeXJSOvrq7Y3NxcuQ/T6ZRCoUCv16PRaPDpp5+u7afXajVardbKebyTfuMv36nCk67mxsaGdJ6GYUg0balUwuFwLJR1FcUUgBYZktgMxPC7KFsJ4nqA8UwnXyqRSO7gtZkPSDAYpN1us7m5ufBwWvV55kdPhM10gy/O7vBvRNkKetjyPpVbrHqlk8nEFMpeKs+tQ8aCuUELLk9hY02n2Jvy/cUVbOygKIsZmQoEnCqjao5Ueh9jMqRVLbF/eIjbYcepKrhsCtnsLcnULrpiY6YbTHWD2eNPfzikVi4TSaa5u73CHttjujrFwKCSYyeVYivgJuqx49QnCzzF64TIwdrRTKdTXr9+ze7urrzn4t7mcjmiiRS1scJYM++r164wqt7z4uSH0by3t7crgJG7uzuCsW1yhSKqqrKT2qVVvGd3dxG5a4Xmvbu7W9kcq9UqHrebUCgk0cHr7q/gwhbX5vb2lnA4TKPRsOyzVyoVPG43YY8dddJHeRy9MYBSq4/dF6JSayxopQp7eHhgMpmsZMuiryuCF3FPlseirES+dV2Xm7jIRtdpuIprOC/ALa5Xu93G5/PRbrctZ8wBCf6Jx+OSzF8ZdVFmI4ajMeX6A5mDQwxPSAq2w9NcrdfrlYE3mNmn3++nUqlYXuvxeCyVZpbtbYLkhmHw5s0bNE2TTsvtdrO1tYXdbpezqstk+sKGw6H8XFVVabVa1Ot1GfTE43EZcL5tdE0EQYVCQYLmxPMrZOLi8bglLehoNCKbzdLtdnn16pX8nHc91b8SEwCVQqEgNxVADj+nUik5j7q8IQjC6kwms7DYxTzgwcGB/P1Yh2A8SbteYX/f7Ml1u11UVeWbb76RA9MiWlVVdaG3Ml+qE+dRG+pEtnd4yF3z/tZTFK0oCj6fb6U343Q6JZR9OQIEFmgGhe3u7prI2d09qoMZ+d6U2mBmbtbBLcb1MpuJHSIuG2G3jbDLRtBlw6YoZGce/EaP7qjLzz5c1BwF2NvdlT3NeTMMg/PCDT9/39wgN6ab+P0KNreP1lij/fjz0BtiKArNqULzYQyMcaoKPPTQAkMSfpe8Hsu2PIMqAEdi0xuNRmxsbCyowCiKQsjrIugxaIw0an2Nh3aXseGi2p8R9drW9ofF91q+vpqmEfG68B1kqLR6XJ6bHK4JxbawsK3QvFZqO91ul3g8Lu+xAhQsaDeFzV+D/f19rq6uGI1Glq/tdDpsbW2hA7rDizIbo056MB3TbTZ4FvYRSWxwdvodz1+9LxVxJhMz0LHqix8eHkp2o7OzM1KplMkmtSTQIHp/ol0ihLMPDw/lNRBzouuyUcF6dnJywv39vZydFccUbFFW749Go1ycn7MZ8GKfDqSGrAG4A2FsE5W2ZiegqDQfHiSADMz77na7LXuSIoNbBii6XC52dnYWSq7ChMza2ZmJy6hWqwsz51tbWyY3dSCwMqbncDh48eKF3J+W2wR2ux2Px8M///M/s729TTwe5/DwcOE5efnypSzTLrdahErPYDDg/v6ezz77bKUcLM6/WCzSbrfJZDISqKnruqSbVVWVbDa7ViXsX9PeZap/JhPKNVZACyFHtVxGFCxKyz1WUSIWke9Yh4Gm0Huo42S2UMqazWamYPXjYHSj0WAwGMhZMMFDKuZAM5kMU1SyHTNT8I4eCHqcK2VqK2YiK4YcWJ/FjmY6v/32nHEkiWY8LayQS2XH72BUuefFySoAQmQd3W6XTz75xOpyy3NcXrRXV1embuecw7D6LpeXl2zt7dMYadSHGo3hDM0AQ9fpV3LYHE5S23H2o35iHvuCw8vn82xsbEguWHhyMGKEYxltuYyonWoGX55e4t8yZx9dNoWk346qTVZKzqIi8rZZVM0w6E50vvziCzbjcQ72MwQcpjNfznz/lOOBWRK2Kgevm0W+vr7G7XZjt9sXntFlNPi83V5esBcP41I0FKA3GFJ9aJPeP8BwuHlzebMC7pu3arVKLpfj5cuXuFwuOdMqpO3E+0qlkqTiE33OZbu/v2djY2NlTATMe/jtt98ynU754IMPLAFQYq+S+5VhgDZFmQzQhj2u73I82981r6XTh+EO0O71qdfr5HI5UqmU5NGdf6avr69JJpOWbaZ8Pi/LzsvWaDQYjUbS6fb7fclUNZ1OqVQqlghkcVyn02nZnxRtpkQiwWQyod1uA6ZTTSQSOBwOrq6uiEaja9WlREk5HA5Tr5viAD6fT1IoivaaEBpYttFoJMn9M5nMShVHWLPZpFqtcnJy8m8GYnrnVP+M1u12qVQqKxs9mDd3XlNS2HyPdd6xTqdTbm5uODk5YaIrDHQFh2LQLOUIh8MLG1Sz2WQ0Gi1EZMPhkFqtJsnoRTbVbDaJn3zEUFcIOBR2/DZLdF+lUpHOYd6sHNny76e6wXVrTLY9YTToo40GhKNxdgIOdvwOAk7ze7ZaLRnxCyuVSvT7fdLpNPf39wslxmUT1IEikyoWi3g8npWFXCgUiEQishTU7Xbp9XoL10s3DJojjfpwxvVdjla7Q2jPvCZum0Iq4GDHZ8dtMzc5URYWmajNZqPRaMjxhIuLCzKZDE6ncy394dXVFbHdfUo906EDjGt53j9O45jLLJfJIcDcILvd7kIG0+v1qLe7uAIRCvd3bGxsEPI4MLTZQo/z4eEBRVmU07OikdQ0jdzjPRDlYLAufeu6zu3trZwx1DRN3pd16NHhcEi1WjXXhK6hToeokwHVWg1FVekPhsQ2I3gDYXS7C8PuWiiPinMZDoc8e/ZMkkWIH0VRJIjJMAz+8R//kY8//vitMoLL5PaGYZDL5RiPx5KLO5PJrC0lnp2d8ezoEGU6RJkMTKm6R6s2O2iqgzEOpo9An2AwSDQalUxBVr1X0Qu1IlQQ13d3d3fBaQiqRzFZIJ4/wegGZpn45uZmbdm6VCrJ+VBhYmTGMAzK5TLJZHLtDHg+n0dRlIVM2jAMKpUKvV5PYjY++eQTy3IyPNHBplIpRqMRhUJBZu/i+Zov41tdOzGP+5Of/MTyM/7c9s6p/plN9DOOj4/RNI1+vy+l44bD4YITEKbruoxUbTabLCNOJhMajQaJ3TSuYISA10PA8QTGmF/Yd3d3xGKxhY07n88TiUQWItGz61vyDz2cbg/bHpXNiKlcMxwOV0pMVhler9ej2+2ulFR6vR7tTpexd4Or1oSpbn6HsMuGp13g4xerA/TwtEF3Oh1Znhb3exmcY2Xz7+90OpagouU+8bpNXlitVuP67p7g/ivy3clCPzaoTPFPO3xwaGpdzm9y885GbIQvXrywzArns9eZblDuz2iPdaq5LKnMPjt+O95HLmGr3q5Vj1X8bmYodKcGzYcG1+en/OSzHxP2PWU5Vj3b5R4pmBtaPB7H/Sj8AGZl5M5CWP7+/p7t7W1ZrqvX6wyHQwkmssr+rGgGMQwUbcLrr78i5HVykFriyFYdGI8O9r5YJvCYGV5eXi44pHkmJnH/M5mMDHrXWbfbpd1uy9ZNu91mb29PZom6rq/Orur6o+D5iGGvQ6VSZf/xvA1gpjrJ1ZrMDJVypcLHH39smR0K9L5VuV0E2euc7jfffEMwGJR7h6qqxGIx/H4/uVxOipYv23g85vr62hIQBWZAWi6XZVXC6/VKPmZAig+s4/R9eHigVqstVBG2trbk8yAy0mQyabnPDwYDrq6uJGudKPEvW7lcZjAYyHXSaDRkMCrGcd71VP9KzeVycXJywhdffMHW1haRSIREIiEjMVGaXWZpSafTlhlrt9ulUK6i2Xq06lW8NrPM8tvf/pZ0Os329jYul0sq0cyDLVKp1ArRQ3B7D3vnkuODfRI+G61Wi0ajQbFYZDAYmNnNo6h5KBRaYV/y+/0rvMUAE7ubL+6zOOPmZuFzqDzfcLHltVN3Ruh2u5aLxmaz8fr1a2Kx2ErfTIAx3mYbGxtUKhXa7fbaeVQxUzscDun3+z/IwNJqtThM76HP2hwkwtSGOoWBRmOkUyyV8G3t0ioOOQi72Au6sKur8m+KonB0dMT19bXlJjDPZGNXzUw45NJoqCbRw217StRjI/YIILNCcloBTVRVxQlEVLBHN+m0E9wXyxQMneeHmRUQ0PI5z5uYdxXcwQrmJrtrEbgsj0hFo1EeHh548+YNf/M3f7Py+lqtRjQaXd3IFYWZYscZ3KCvaYxcIRyGZvZg9SmqPoXJlFLhDp9qY9Phw5j02Yltks/dk9o1WxCCianT6UiZP5fLhc/ns5RGExYIBLi9vaXVarG7u7sS0KmKwlZ0k3I+S2IzAtORWeJ9/LvXYZadm4Mp7dGUiaFgt8/YSR/gcDg4ODzk/PycFy9erHx2JBKh0+lYKi05HA62trakmo0o5Yr2g3ivlUTb/Mjecsne5XJxeHgoA0CR2Yk+q91uZ2dnh9FoZEl3mEwmaTQaK4HaYDCgVCqZFQ7DoNPp8OLFixXHJpS/7u/v5Zx9v9+X2bDH4+G9996TwLJer2e5j2xvb1Mqlfj888+lE10nrPGvbe8y1X8lEyMlsVhs5fxFNisa6sJEKXi5h1StN2gNp8S3twk7no5xd3eH3++XEknT6ZTJZLIwkC/0FXd3d00UcFuj3+0SVkYymgazR1GpVAgEArRaLfn7drvNRx99tLBQ2+024/FYglpu2xPOHsaMui1cNoX397ZIBRwLfcj5LK7f70tnKZzdugVQKpVMtRWLTEdc53/+53/m7/7u79b23cTrhGC0VZYqgEaivxOJROQssCBmGEw1fv/dOYNgUmbiDlUhE3LhHTWJRlap83K5HO12e5EkAesSarvdZjyZMHGHaT+qJzgVA71Z4NnR02uteqJWv5vNZlxm74mlMsymUyr5O4IeJ3abbWGm0Gp0SNM07i0y0uvra44f75UoCdfrdWw2m2XZ3Waz0e12F0YcrNDo8ybQuoqiLPLa6qZzbdYqjPo9drcXg6P7YoVQOEQgEATVRqPVpdXtsbe3hw6gqNidLq6urjlaRhkbBrqucX19jd/rpdVu8+LZMWgzs4SrzUwuXn2GAlzd5dlLbuF8dBKGageHi2Z/RK3ZoVAs8dOf/nQtP67Q1LUyMfYyf36i7Fqv13E6nRIINP/Mvw31C2aFYnNzcyFIFs98o9GgVCqxu7tLMplcaVWISpIVZSOYVaU3b96wsbEh543nifUFancdE1qn0+Hm5oZ2u83x8bHl+B4sloMBiTAGVsaZ5u3dSA1//U5VWC6Xw+12ryDdptOpHBqfXzyz2UyWsp4G2uEyX8bucJDZ2uSR9nWllyo2q8FgIEtusVhMyoVpdhf5no5NAaVujkksly/39/cXBumz2ewKh6nL5aLdbnN08pxvakMqA7NvlPTZ8XWKnMwRvuu6zmAwkCAWh8MhS0hi0QiaPiun+EPzrufn55INZt3smrAvv/ySg4ODhc1fkNeLZSBQojabjdFoJAMSeALo+IMhcp0JN60R/cfacL9yz6uTY4433Hjsi9fU5/PJ2bz53y9/p/kyb2esUezNeKhVcXt97MWCbLpNNLFQFZrPtur1+sr4VqFQMFHITjfdqekAby/O8NgVtmJR+UxalZKXy7mwWPoX/MGGYXBp0SYQc4fHx8cSzSmqKNlslkQiYQn2qVQqOBwO+d1GoxH5fF4ev9vtUq/X2c9kTAenTVG1CYo2QdE13lzf8Xx/l3L9wSxLbq3SU840jatciWf7ewgh8/pDi4d2l8PdJHa7jd5gSKPVJp1cbT0YgKHYOMsWeP7iBYbdSa5QYjweEwqFiMfjTCYT7u7u1rYZSqUSbrfbsr87m83kcy1Upead1M3NDfF43DLQ7Pf7lEqltUHq1dWVZEkTFo1GpUD5Onk3eBrxEb1dIRsozjEcDlOpVCyRwcJEjzeZTPIwh3QWaGCxL75t7Cafz1MqlYhEIoRCobdSkAp751T59+NUwdwoOp3OAloUnsR4d3Z2VtC/QnNToAm7uo1iPsd2JMRG+Ol6FAoFSawvTKh8CN5ewzBM5p5XP6IzUwg7FTadZh93PrOZTqfk8/mV7GS5tzoej/nu/Irrhz64/CjAXshB3GPn4eFhQcJNVVW8Xi9er1cuuGVbhx4Wdnt7u0BdJq6REDGw2WxrHa8wMbyuaRr7+/sSzAJPs6SdTudpnnDuWgpGnGVHaBgG5f6Uq8aAXO4e/9YuqgKZkIujiBu3/Ul55/7+XtJKDodDHh4eVvpQyyW0mW7whzeXBLZNcJvPobATcJDL3q70WH9IqcZEBxvc3t6wmzlg0m3Ra9aJx+M0Go2Va2fl9Jf7rgqLWe78RlIsFhd6qZPJRG6WArG5bOtIFprNJv1+n1gsJpnMLE3XmU2GfPHF73l+fEA0HDI1Xw2TLhFdR3k8y3qzjaZpbISD3OSKbISDxCJhwCSmQFHIl2oEQ0GCoTCGzQ42O6gOEyylKFSrVW5ubohGo6RSqRVHUq/Xmc1mazEB5+fnHBwcyM1eAB3FtXC5XGud49nZGfv7+5aBSavVot1uS1DkvGg4mBWRo6Mjy31V0zTOzs4s2Y3ARBR/88037OzsSLDQvLMSFaHNzc2VgEEwKZVKJbrdLi9fvlwLLspmszL4FucsBOGFgs3buH6X7d2c6r8zEyT77XZ7ZaPa39/n4uJihT5sb2+Py8tLAoGAySYy0dBQ+O6774hHNyTabWdnh8vLS7xe78LMnciCRW8mFArx5Tdf4w6G8W1FcGxFcTgcCyohgnBiNpstoPGWVV8mip1GcA+jmyW+s8snW15CLtPhCdWXdYjA5TlXQCpRrLNUKkU+n5ebhMjm57N8q/nE+c+8u7vj8PCQbDbLaDTC4XBI1K4g3mg2myuZhVAAmc/ghSmKQsLvRGtVOXi1z20PHkYzblpj7tpjEo4ZMY9X3k+humEVQFhdF7uqEPPYiPjslPsz+lOD6+aE2VT7L9pQAGyKQtBh4Hz8Cs5AmO1QmG69LLVmxbNipXIjNuT5zzWAfKHAkUCDzyGE+/3+AuDG6XRycnLCP//zP/O3f/u3lud4e3trCcSJRCIMBgO++eYbfvzjH6//kqrKfbHC7v4hI8OG7rEQXDAMdG2Gzxnij998S2AEz9/7EXa7A118t8d/d8JJTk9PebYdWrj3o9GI+/t7WYZdZr8SFo1Gubm5sVRzAlMn+fe//73MtPx+/wKyvlqtrlVtevbs2VpEsNfrlZy7QjR8uRIkWiHLpVibzcbLly85OztbQK+LzDYUCvH3f//3XFxcEIlELDmPj46OKBQKDAYDEokExWKR0WiEoijEYjE++ugjCZDy+XyW2qlCK/rLL7+UgvJWUwd/ifYuU/03tH6/Tz6fX0E8irLt7u7uwuKbTCYS8TfSFUa6gg2d4rUpWdVutyUQoFKp8OMf/1g6w263S6fTkdmQZhj8+vUVm4kU27YRrabJTzoajXj16pX8TE3TuLu7W8kWRLY6mOr8pthnrBmo3So/P0gQDCyWXa0yS/H9O52O5TB2o9FYUHBZNpE5ifLQct95NpuRz+cXMiCRjQqWKsFMI8qJ8+9/m5pNPp+n3+8vZBVW52YYBrXBjPOHIc2RRq+cI5TY5dmmh/2QC1UxMwybzbaSbVUqFXw+30JJbzabyYrFeKaT784YznTqhTueHR2y5TMJIzRNI5fLLXz3wWBAu91euNZiTMrh8dN7FFOv5O853E3QfHiQY0aNRmMlAymXy/j9/oXzm2dbmi8HF9f0wZvNJpPJRJLWzz/ruVyOSCRiWdI0DFPNxuVyEYvF1lIZXl1dsb29jd/vJ5/PEwgELPt3Yr0Fg0FqtZpUQbFqPwie4ePjY6mPvKytenp6unaWVpz7/NjKPDLV7/czGAzWkk7c398TDAYt14VQC3r27BnValXKyAnll2azyXQ6XYvMXUel2ul0qFQqlEolNjc3OTo6ssyIRTa5PMsqSClarRbdbpcf/ehHlqVc0doJhUISPDjfI/2XZKTr7N8yU12P7Hhnf3bz+XwcHBxwdnYm+xDwpGov+C2FOZ1Omck6lEeFGRSOj09ktiOUJl6+fMnvf/97bm5uKBQK+Hw+OdIDMNMhtpOmXrhncyPC4eGhZG36+uuvyefzUgXEbrcv9FzAjH4f2l0+L5kO1e9Q+e9e7VOrriKBRWZp9f3Fwl+2zc1NGo3G2msXjUYpFAoLPZ15s9vtzGYzqQAzmUyYzWZ0Oh3sdjuBQACn04nX610YWxJWr9fX9mbEeIXVopzP6hRFIe5z8DepAD9J+vHaFTQD3tSH/ON9h1JvyvHxsZS2mrd+v7/iUOYZsFx2lf2wA7X3QGAjysNIM/VvNcNSBcQqw+n3+wQCAdx2hZBTQQUm0xl9w8FmfJvj42M6nQ739/cr99/q/MQYGPCEEFYUBv0+AQvnWKvV2Nra4vnz5+TzeTqdDoB85teB0QS13cHBAeVyeYW1SfAuC7ITMO9ZpVJZqYD0ej3Oz8/Z399ne3tb6g5PJpOVewKmg/J4PPz+97+nVqtxfHxMOp1e2OiPj4+5vLy0PHfBuvb69Wuurq64urqSCi5HR0cSuFMqlSzfv7e3R61WW/nOg8FAihD8+te/lpnc4eGhFGiIx+M4HA4KhYLlsff39yVnbz6f5/r6mqurKwkc/Lu/+zt8Pp+8T8sm+K3v7+8ZDofc3NxwdXUlW1offfQRn332GdlsduV5Etfm8PCQVqvFV199xdXVFdPplMPDQ46OjojH438VmemyvctU/xuYrutSGWM5AhRoVwG6cTqd2O126vUGO8cvMBQVn81A0Vbn1gRHajgclnD2arXKZ599xlCDXE9n1G6wG7Av9DIuLy9JpVJyYUejUarV6pKep87/6/dvsMf38NgV/lPSh9tuUoHt7OysOJx1GqSlUolgMGgJKrLioxXWaDQ4PT3l5z//+cpCE8jdTqdDr9eTICjBIrU8vrDcO26324xGo7Wk6w8PD7Tb7YUezw+ds+ibav4op42h5Pt1Dpq8SoTo1MoLgJAf6onO/y62k6bwSBihKjCr3fP+8+M/6b0LPVtN4/QqSyJtXgefXcGmTyVndb/fl4CiYrG4QlxiNccsnt9gILBAGJHP5wmHwwuOM5vNEggEZLZoZaVSCZfLJYFLIvMTqGzhUK36iwLIJrJEAapZLr1Xq1Wm0ynxeHyBiUkQWthsNjRNI5FIrAXPtFot+v3+QlYoKghCfD4QCKylzHsbM5Lg5A2Hw3LUxefzyXnRwWAgx4asTHy/+XPrdrtUq1XAXFuJRMJSZQbW60iLrFLQC3722Wdr2y/LZPnzaj7hcPhfXWj8HVCJf99OFZ5GIJYh7oDUN4xEIkwmEwaDAQ8PD+SKJleuHQOf04bf76fVai1slPf390QiEVkia7VavHnzhsDmFkokSdDjZFw2QT0i2xMCADs7OxLUdHd3RzgcZn9/H7vdznf1Iac3OQLhCH+3vymJCdaNXrTbbSaTyUr2t44iD6xLuNPpVF6nTq+PzR8Bu5PxTGOi6UxmOhNNZ6qbwJ5G4Z7NVAavw8aoXmBvN0U04CXgWuTWvbq6kujnHyKDEM7j4uJipWy8LniYRzTPdIOr5ojr5oh26R7/9h5pvx21cc+rly/QNG1BMWb+GOsc40QzyHenDGcG1dwtL06O2PLaZAl2+RpbMTAJpinN7uZxgodqLsvJ/p5sIxSLRW5ubnjvvfcWyoTrqArFtZovB2uaxs2cGtC8/eEPfyAej1uC1JrNJoPBYGUz13VdzmSL8Zt1ItbD4ZBCoYCmaWxtbb21vRCPx3E9El2I7FCQrPwQqxGYay8cDqPrOvV6HVVVSaVS8tzy+Tx+v3/tOSwzIwnAouDc7na7fPzxx2tHWt5GbCFYhURQI5yyOFa5XEbTtLeSODSbTckLDqYz3NzcRFFMdSSh8mRVKhbXbzabyeBh3azwv4a9Ayr9BzBRFsrn8yvOZ29vT24EsVgMl8tFJBIhvp3gOl8kdXCMhwnNR77hL774gmQySSKRYG9vj4uLCzweD3a7nXA4zOHhIQPdRqFWom/MOE5GF5RHvF6v1Ei02WzE43FisRjn5+cUCgXawwmXAxvujTjxSQWv4+lcbTabzBTnF3soFOL6+nrFqYrXWBHw2+12WYKbajpvbu+ptgdMg1v8JqfxMFSheY6yYU3wDmCMbNzdVcHQYTbly2EbaKMAfpeNkMtO0GXDbwuR//aCve3Y2rIjmJuy2OQymcwCh+9kMlm7UOfJGeyqwvNND+mgi1807YyBu94Mh2ub9lffkdoMrrDoWImPz2YzeUynTWE/5CDX7PPgdNEYagxnOrsBB41adeW6C9mueRuNRni9XrPsr8FgZurW9nWVgGEKwCeTSUknV6vViMfjkhRk2UmWy2WZyRvmRUBRFLNHbwFca7VaUqlpWaB8NBqtVbxRVZXDw0P+8R//kf/8n//zWzdLQc2ZSCTWOjNAtmWi0Si1Wk2uJ3G9ha7nCpvSo4n7/eWXX/LixQvL806lUlxeXuJ2uy2BTUdHR7x+/RqfzydbMclkUjqp6XQqSRqWHavf70fX9YVATBDNi7W5ubmJruuWAcz29jaNRkPSMAoTff3pdMp4PKbb7fLBBx+srF2n08nLly8XOH/nKQnBJIp42z3492LvMtW/AKtWq0wmkxWKvXK5LGm9hNU6fYrlCocHB/gfQyJB2C/KTDabjcFgsFD2/Pb0Anssjc9pwzN6kPqUYqOdzWaSa1eYGIv4pq1Qb3Xwj9v4p2329/cXwAnrdEfFnOQy8nE8Hksd1nlrDKd8na1yW27Q7Q8xApsorsVym7NdxBdP4bLbcNoVHKqKy67isJn/7bAp1O5vGM00bLE9OiONzviJW3fejIc8GAberTTpsJt02EUm7Cbgeoo1l7mO7+/vicVieDyetYCsyWRCpVJZ+X4ie8cX5tvqgP5UR9dm9C//yP/mf/EPBD1PTjSbzbK7u7tw7Hw+L4Os+deF4knKQwPdALsKWj3Hyx+Qk7PKZlu9AcXaA/FEEpsCQadiCqHrumwXVCoVmaUuI3WtMv5+v0+z2WTvkXxE3AZBBiCOIUYmBOBrvmy7bKKsK3rd66oMtVqNXq/H/v4+xWIRt9u9NjuaTqdcXl7S6/X49NNP5eyyyHCEE+l0OrRaLemYRKVmNptJBP/p6amlnqm47ssZr6jQiKCp3+9bMiPBk7TZunJ5NpulUChIprVkMrkCyGu1WmvR+aKnLpy+3W4nmUzKAG82m3FxcbF2FtUwDL799ltsNpuUjVsHLPu3tHflX/5jOVUwo/azs7OFkgyYm810OmVzcxO3200wHKE11mhUK7w6PsD2+NJ5MnmBGm42mzx//pxIJEJ3POPLN1fsHhxxGDKdxtdff43f7ycYDBKPxyVJhFgshmHw++/PqXnNTfbvd/04Vfj222/lPXE6nSQSCbLZ7Erp6W3EDaJsOpxqnDdGfF/uUCmXQNdg0EZJvcTnUIl57cS9drZ8duI+J6o2odfrrS1TAfzyl79cQBwahkF/qtMZzWiPZ3TGGp3RjEq1QrVSRY8vllijXgfpsIt0wInWKnO8xGYkxnnWlX7XOdv5OU/tsSR82RzRLtyh6DN+9OqYk1jQUlkG3l4OHs907rszJppBLZflwxdHRNzm51uhg63Qxjc3N6TSGbpTM9NUgXruZoHMA8xAQ4xZiaykXC7j9XpX1qqYJVYfxQfENbx6nKWe3+iGwyHZbBZA9kyXTThU8fd1Zc/7+3tcLtdCQHp7e0s8Hl/p55dKJckb2+/3aTQaZDIZGaQqioLD4ZD3U+AV+v0+NpuNvb29hXMdj8dks1lrYXKeHJPf72cymWCz2UilUvJaTCYTrq+v1wYV8z1UXdcplUqy1yrKsYIr18oEunc+GGk2mxIoKPq0L168eGuPVNx7TdPk2I2iKG/tPf+3snfl3/+AFg6H+fDDD7m/vzc3obno8uFx3CEcDtNsPtAejBmPx/zqN79hfzdFIpEgmUySzWZNxh+/n+fPn1Or1ajX6zw8POB0e/FHNmlUqxwEExJx3Gw2cblccqPM5XILi606daIN+xwnN3A/MgWFQiF2d3clSjifzzMYDPj666+JRCKSsELoiVqVekd2D//3L64oPLTRdQNsNtRQjEzYw8akwfM9PxG/Z0EFxjyGRw6BW9nV1RUffvgh5XJZbiqKouB32vA7bSQxszzDMLjQarCZwLsV4649JtsaUe5NqA+m1AdT/tAq4QrHueGBF1EvqZALVVGIRqPk8/m1rDGiWrBsypxjsakKzzY9BPQh348jDBwB/nB6Q/5hm58crMpt/ZC57CoHIQfZhwE2h4Nib8ZYM9jy2iiVSpYCCMugK8MwcNpUwopBZ2ow1XQGmqk65FCfCPVtNhtbW1tsbW1RrVa5uLig3+/z8ccfLxxvnt93nj/44eGBgN+/ssl5PB6cTiftdnuBJGX+/M7Pzzk6OpJOTJQ9RdlSZMDJZHIlQxIaxmI0ajgcSuYocX0CgQCj0UgiqgUx/3Q6Rdd1ptMp3W6XRqPB+++/b9k6EBqey6VUHr+7cF69Xo+XL1e1ggXqfx2Vo9PpZDab8ctf/lKWqZeDTJvNWn0KkGvzd7/7nXTCok0knk8xrrO/v79SaRJzpF9//bUkekkmk/9m0mp/6fYuU/0LM0FssAy+6HQ61Ot1Dg4OmOnQ1RT6vQ79ehmv2y1HB5rNJq9evZIPeDabJR6PM9M0vrop0W02+M8//pCAz4wkb29v2dnZkZvZ1dWVXGAPoxm/LQ7ol7L8Dz97H/vcxprL5Sx5Yff39+l0OnJjnE6ntFotWS7uTTS+qw4odifQb0LyOVt+JycbLo4jLgmAEiLSVqCQZSk3Ydlslo2NDYLB4FqJOmG5XI6NjQ2JGhY9zcFU47415rY55OrqinHoqdfpd9p4FvXwIurj4qvf8fOf/3zFeQrqtmWk7Hg8plarrZTIBaDprjPhTX1Ip1pEBY63gnx8kJLnb/V+UcWYR05ms1lcG9s8TMz3+R0qk9qd5Oudv1fz2d2y9JtuGJxd3xGJb+NwOgk6FJw2hdvbWxlQCRME7GLONxwOr+X31TSNm+trnj17JseaxAZUqVRQVZVoNCq1NIVjFKjfo6Mjy4yj2WxK9Pu6LFcc5/T0FI/Hg6qqC/Om8zYPKtJ1fYHwQYyinZ6evhUkJQjvNzY2yOVyGIaxwE/b6XRoNBprS7HzWbiY/RRBzc7ODuPxmEqlspZ1aTAYkMvl5Fy8AD6JvSISiVAqlXj27Jnl9VpmRxqPx3IcTBDt/1tlf/+19i5T/Q9sdrud58+fc3V1JQez7Xa7jC5FOc2pAP4gNmDYrMusrN1u8/nnn0uIfCaTkdH93v4Bve0dfvv5F7w8OWJnZ4dMJiM5WkOhED/60Y/kzNiD6ge8bG+EGPSeVGbsdrskVph3eh6Ph9FoRDgcXgAkXF9fk0jt8UWhx1fNHprdgxqB3ZCDnzwPEfe7ZEYq5NTEj5Ulk8mVsnIul5PMKwCJRIJSqWQpozWZTJhOp7IMOD8j6HXYeB7zEpq1+Zu/e0VzZue0PuCiPqA30fiy2OPLYg9f38nwy1P+7uMXeBxPjrVYLFp+ZrFYXEvDqKoq+2E3Wz4HX7vtXHz3NWe6ztgV4uNtP267SqlUWnHIVhuyruskgm68Y41Cd0ZvqtMcaGQ0A4ftiXxgubdYq9UWyoWqouBkhtftZKpDZ2rgf0TyLm/A3W5XZkSVSoXLy0um06ll+fHm5ob9R31W6cwMg26vx2g0ksHIycmJnG/c3Nzk7OyMw8PDtRujoii0221isdhahwpmiVnXdTqdDh988MHaoCuVSsmZ0mq1isPhkHKO0+kUwzA4OTmRhP9Wz6qimEFIrVbj5cuXKwFYMBiUpXmrcRYhNvHrX/+anZ0dUqnUwndzOp0oirKiRCXM6/WSSCT4xS9+QTKZlP3R+Z58OBzm/Px8hYxDnP/Ozg7ffvst4XAYt9tt2dZ4Z4v2LlP9C7Y3b96gadpCGUvw5O6kUmhOLxvRGOp4QKvxtCmKkQO/3y+dR7vdJrJ7xMPYwDEboLdMjtFIJCIp/gRitNPpMBgM+LI2pttu85OTXbROY4X/t1KpLDiKdT3UL68KfF4aMHaYTmw34ODnKR8hxxMqVThVYa1Wi9lstnZ+bb4/WSwWcTqdK6+1mqOEpz6f2FDF950fN1l+70w3yDZHnNb7XOVKzBQHTIfY3V4+2IvzaTJAyL3KDyzMqh9qBWgyDIPfvj6nagvRqxaIJHb5dHeDfiX3gz3WZfDRYKpzmq+i6QqhSJh00LHAR7x8Ped/J7Rst7a26E4NJjpUSgWS0Q0icwxapVIJv9+/8oy+fv2aQCDAzs6ODF5qtRrKY/lcmMKTpuYzC/BNqVTi9vaWTz/9dG1GKEgeUqkUjUaD4XBoqaubz+fRNI29vT1JeL+OR1iUlPP5PD/5yU+kI5oXYFBVFUVRuLq6kohcweAlKgiRSESOhK3bx2q1GrPZjEQisTBGY7fbSaVS9Ho9ms3m2ox2OSOdR/06HA5isZicaX9bRhqNRgmHw/R6PSnvKPh936YA9ddg7zLVdwbAy5cvqVQqzGazhZ7JwcEBl5eXbG7EqBSL6NoMZTrit7/9LR9//DFut5vj42Nubm44OTmRpeOr138kcvwRhsOLx+MhFAoxm82koPTm5iaqqhIMBimUyhjeLQK+CPZpn0artcDS43K55PycJFh/7BmK0RzDMPii0OU3dQWj2yKSCPI3uz72w27sdvtTf9Ei8g2HwxIMYWXJZJJCoSABJFavW+YsBjNLi0QiCxlKMBikUqlIp9pqtVZmh+2qwtGmh6NND2c0GYcSfF3uUb275o9FD1+XepxsuNhltReoadZcvaVSaaUXZhgGiYCL95JxvvR5Kefv+Oduh6htSlo3sKlPYJ9la7VaCxUCr0PFP+thi+4xftRo3QuubixW+qJC/EBRFAIO6E0NxsMhmsPDWDNw2cwZVEFtOG/ZbFbOUxYKBZm9t1qtlR6fbhicX1zw4vlz1Me5VvHNRGleCBJYlfPv7+/xeDzSiQpmrvnsTwD35oWwXS4XOzs7liIJhUJBZs2ZTEbOxM7zRM+DmPb29vj+++9xuVyoqsru7u5CACC4uG02myXpSTQa5fvvv5do+Z2dnZVsEqwDMzAz0mg0yj//8z+TSqXweDwrXL8vXryQPVIrrt1YLMbp6Smbm5srHMTv7L/M3mWqfwXWbrdlP3V+zvPi4oKNVBqHy4sNA2PQ4eLiXDrHzc3NhZ7LfS7Hm7syke0dPsgkuL++kKCo+/t7crkcP/nJT7Db7RRafX59dk8sucs/7PkxDEMKAO/s7ODxeCy5fAVbUXInxT/edThtmPRkBzzw33/yDLdrkWO1VqvhdDotOVrXsTUJ++Mf/8j29rZluVXYfMZpGIbUq102wZMaj8fXZriwqKhjGAaXlRafn+eo2CMY7Sr4I7zYCvHzvSARj3ne+XzeknTdapMsFotEIhE8Hg+abnDaGPLdVZZRs8be8Qt+mtnE67CtRe9aqdfsZfbJdaYMZgajXpcNx4z9naes3MqxLFccGo0G/amON2z2A4MOhVq5SCgUWjgHwe87D4IyDINf//rXbG1tSTKR+fNLJBJ4PJ4FwggDs6Ig+LBHoxG3t7cLTEpXV1dsbW1Z7g+NRoPBYIDT6aTX6y2snXmTUnL7+xLUN59dwxNoZ5n4Qdd1Go0G9XodRVHeqioDpipNOp2Wz4FA4SqKwvb2Nt1uF1VV1zJ7iX1gXpdYtC68Xi8bGxsSNfw21K6YNZ5H/P45eXb/Eu0d9+87W7BQKEQqleLrr7/m+vqabDZLvV5nb2+PdqlAv9tBQ8HuD/Ly5Ut0XSeVStFsNhmPx3z55ZcYhsHe7i7xmDkA/s3pBdFolNvbW8AknEin05yenppzs4odQ9fx257k0Q4ODohGo9TrdS4vLyX0HpAoScMw6I/G/E+XLU4bYxTgv9sP8b/9ySsq5dJKGSkWi0kC7WVbxyGs6zpXV1e4XK4fDLhsNpsEZlihMYVFIhEpvr6uzAimgxRZkaIonGxH+LtMiP/DsyA7PhXF5uCsPuD/+scy/++rBzrjGZPJZMWhrotlR6OR7G3ZVIX3Yl6OQ3Zix+9Trdf5nz7/jmJnSK/Xs0Sezm+K4rvYVYV0yEHAqdJp1uk7w7RG2trzsOoLN5tNdreiUuWmPdHp9Fb5gKvV6opTqFQqvHr1ioODA+7u7shms6ZsXrlMKBSS33eeP/j66orUY/AGZhny2bNnXF1d0e12OT09ZW9vb+39j0QiVKtVOfu6zlkEAgFcLhe//vWvJcHDcjZps9k4Pj7m/PxcXq9arcbNzQ26rnN8fMzBwQGBQECuJys7OTnh6uqKi4uLBY7do6Mj/H4/iUQCXddl6XXZRADzi1/8gqurK6l6dXR0JNG3z58/5+zszJyHXjJFUdjY2ODs7Iyrqyt0XZef/9fKs/uXaO+c6l+JuVwuPvzwQzRNk3JOnU4Hh8NO7vINZ6+/5uY2y2hmsLOzw83NDbu7u7x69YqdnR0+//xzCoUCLw8zjHodAok0w4mJzBWE22J43eFwkL2+wh2J0a0+kXHH43Hq9Tq7u7scHR1Rq9Vot9tks1npUA0Uvu66uS9VsasK//sXUT5JBhfYkpZN9KKWzeo9rVaLy8tL0um0LI+/zfb29sjn8wyHQ1RVtaRQE7axscHp6elaDlTDMCzHg/b29hjWS/xsL8z/6cMtDiJuDOB1pc//+Q9Fvin1GM0Wv1+tVvuTxJUBwi4b/5AJkdxJ4Y7t8E/fXPB9trAgyjDPtiRsfpRGVRR2A3Z8DrMPWOjNaI00qtXqisrIvGOHJ1YpsxSs4FChWioSiCfR9CenPB9wzB9rOBwSiUSw2WwcHh6SSCT45ptvqFQqK3qaBnB1fS3VZua3eVVVyWQy/PGPfyQaja69l51Oh8vLSz788ENSqdRaRycYiDRN4/nz51J8wsocDgf7+/t8/vnnpsCFw8HR0RFbW1vY7XYJJvR4PNLZzlu9Xufq6gqfz8d0OmV3d3dlJh2Q92sePCdk0q6urpjNZnzyySeyB7v8fiHddnNzI7+P+GwBvPrJT37C0dGRpZbpO/uvt3dO9a/IVFXl5ORElra2t7fJZDL87Cc/Ibm1hcPhpNkfkiuWMQyD3/zmN0wmE7a3TQWS8XhMPntDyO+jnL1GCUT55JNPuL+/l0P3AhgR3ztg3Koz7ncXlGX8fj8PDw9Mp1O2t7d59eoVpVKJ+/t7Wq0WALbiMgAAapFJREFUvy0NqelOnNqQ//H9OIcbT5vz5uamZVa6LiMFM+NoNpuyJDkajXj27BkOh2OBTGCdCTL0u7u7tehbYcFgkF6vtzZit8rC4KmXbBgGcb+T/+FljP/x/TipoAtt0OFq5OD/8mWJb8o99Mdz7fV6K3OU3W53JUvSNM0UenfY+HkqwH7Ei3dzm54rwv/36wvOL6/odDqUy+WV3ubyvOxwOCS14SfiNpd9oTej9NBZOI/hcLjirITqiPiuATtMRwPcHi+dqYH+qME7Ho9Xzt+qOqAoitT4vLi4oN1uy7/d3t6aQaPfL7NWcTc6nQ65XI6/+7u/k+ooy5bL5eh0OhKUI8jaLy8vF56TSqXC9fU1u7u77O7usrm5SSAQ4O7ubuWYhmFQLBbJ5XKS8Wm5XSGQ6wIle3t7K3u5oqpzfHzM/v4+L1++5Pb2dkV5Rtj29jaGYfDll19ydXVFpVIhk8lwdGQi9v1+P/v7+5yenloGowIMJpRxbDabzEitCPvf2Z/X3jnVv0JLp9NyUxEbxV5ym6DPw3DQJ7a3z/7xMz755BO++OILGaEKjcv0dhQMnW+++iMTHX7605/Sbrc5Pz9/EvvWp/i2UkRS+3zxxRd0u12m0ykbGxtUq1UURZFUZMfHxyQSCWoTlT9+f47RLPKT9CY+FktQkUiEVqu18n2cTqdluQpMR5zL5aSQ+7LEmQAsvc0EsviHyluCBWedBF23211LuSayFcFzuhN08X98L8bP4zY2I2GGM53/+brJ/+2bCvnOqgwWILl1521+LMimKnwQ95Kkgz+WYBJKUHbFaXUHkp5OfL5VoCEcb8JnZ8Ntw9B1miNdloLBLP0uK60sX7tCocBxZhcV0AzoTg0p5D5v9/f37O7urmgHi551KBTi5OSE4XAoS6KCPAQWy8GNel0CnQR1pxgHEfPQZ2dnRCKRlWxZoJAFScX5+Tkul4vj4+OFPpv4bBFgCmd6dXVFMBjk+PiY/397fx4mV3Ue+v7fXfNc1d1VXT3Pg2YJCYQwoycMBmMbbJCEweckHpJ7r20S28cn8bnP8S+xHWOTc28cJze2McQ5SRyQmB0bzDwZ0IiQWlKr57Gqa57n2vv3R1GbbnULY9yoNazP8/AAUnX3ruru/dZa6x08Ho/aX/vk17h6bqfT6QgGg+zdu5fm5mZ6e3sXJIJJkkR/fz/j4+NqJ6Tq1/P5fJX66HxebQ+4VBmL0Wikr6+PY8eOqccbkUhEXZFqtVq2bdsmAukKEEH1LFVfX4/NZuPll19+85x1jFwiRjmf49DePUSzBXRGM9u2baNYLFIsFtUVTSmbom/VGlzuBp576VVyuRw9PT2YTCb8fj8Gg4GobwoAWW+mv7+f0dFRpqen0Wq11NXVqUkg1cSK6Vk/L/mLSLXNbF7dQ4NVx+uvv87Y2BjJZFK9br1ev2QAtdvtCx4Xi8UYGRlhZGSEUqlET0/Pkmed1SSWU4lEIphMpt9ZEpBOpzGbzXg8niWDai6XO2XHmOrZZXWruXqzlSSJBruRz25q4P2dLoxaiUC6yC8OTHEgkCdTXLwdfnLgLxQKi1aOdUYNl7a5MGgl4vkyx/ImHG6v2mZvdHSU/fv3UygUSCQSbzVZqK78JIkGqxY5EcRV38BMqtK6sTrwfv41VANjlaIo5HI5rBYLdkPlcdF4Aq3JsuA1ribdnLxyPbmcCSorM4PBQDabJR6PLwhWCjA1PU2xVKKjvX3BdrDD4aCrq4v9+/erjSZONRzBbK505zp48CDd3d2nbOxerQ2vrhKrwXT+5zWbzbS3ty84Y61mDQ8PD1Mul9myZQudnZ1MTEyo3ZjmqwbWqakpNXCPjIxgt9vp6emhs7OTxsZGHA4HIyMjS15rtQHDvn37GB4eRlEUsSI9A4iSmrNYbW0t27ZtU7exKhNHYC6W5PD+PdS6PViNepqamvD5fGpm6BtvvIGk9VHbvhaNVsPh40M0eWrVgcyKolBIp8gU/Fi8jdQ31JNKpWhoaKhkk745RWf+u++BSIFUUUud3cIVHTXotZWEqNbWViKRiNpaUJZljhw5oq624a2bfTWlH966YVbHSk1PTy/qUgSQL8nEihpeODGL1mBGVqAsV5rLF/MZsrEwtY1tZJMZZo/P0OatpcFuVFsuVs2fR1ndpp5fpjMzM3PKXqozMzPqFmdXV5eaOZtKpSpD0TUSW5rsrPZYeGkizqHjPsZ0Xu494OcDXS5WuS1LntVWX5uT/1+SJOrMOq5otfPabIpwJEpa0tOQKb01JUZR6OjoIBqNMjY2RrFYJB6Pq19Dq9VSToZxOFxkZJnpZAlLPrIoa7dcLi9Yzc0vVdFrJGx6GJ/z09HTp7YzrAaYk5u+n2r27NTUFA6Hg46ODnXV6na7qaurY2xsDKfTqXa/kiQJ3nxNZEVhenqa1tZWtXH/UueE4XBY7efb3d2tNkNZ6k1aIBAgHo/T1NREJpM5ZZA2mUx0dnYyMDCg/s6c3C6w2ohiZGSEjo4O9U0oVLLkp6am0GgqjT1OFehdLhd6vZ7BwUG1DnV+1q/D4WDbtm0iyegMIkpqzhHj4+NYrVY8Hg+KAumSwsjoKM7aOnTlAvl0Ug2szc3NlSxMXwBTXTPlYp42p5FEPEahUGDVqlXkFQ0PPfUizpYubtzSTSadVm821fPT9vZ2XC4XyXyJH++dRYnOcutVF9Bkf2tU1fyAA5Ub9cDAwIJtweq/p6enT9lEfGh4GLu3lalYjql4jqlYjul4jrlkpVbWnguSNL+1dSopZRzZAHHLW+eMjmyAxJuPqbPoaXIYaXQYqZVytNgNrO1qVlsxzu+bWi2OP1W5xMklKYFAAK1WSzweX1TiArDvyCBHik5Cmcq2XVeNibXmDB1NDQtWpUvNpD25lKZYVvjN/gHKNc1IwOYGK002/aKSmLGxMdrb29WbejabZXR0tNJCL5ohUywTD/hY09WqvgbhcBir1bpgwILfXxmubrfb0ev1zMzMoDHZ0FvtaCSoMVS6CM2fI1p9TYBF29vT09OYzeZFwTAQCDAwMMDGjRsXbp1S+XmpJu+0z+sE5Pf7KRQK6tl5dRZvTU3NgtewWlpVPZ+Eyo5GKBSivr5eDW4nN1WYr9rUXlEUCoUCa9asOeVuSDwex+fz0dXVtaDUZ36HpImJCSwWyymT1xKJBEePHsXtdqudkkQgfefElBpEUH03qmn+Ho8HjUaL2VlDNJGqFKQ3NWDSwOHDbyDLMl6vl2KpzGQ0Q7EsIxWzXLimj2AwgN/v59JLL+XxkQhzJ45wQXcLG/u71Z7E1fFUe/bsYevWrbwRKfHyZIK6fIjbrli/oA5xqZrPRCJBNptdlPSz1Ai52USOF8di7D0+TriopaRbvAVrN2ppUSJoXU1otJXEFikyhaauFQWJsqKgKFCI+PEpNhLFhR/vyMyRsHgxaCU6asz0uC006Qu0OIx0tzbg8/lwOBxLFu5Ho9EFo9GqhoaGABY3O5DlStJUewd7ZhK8MpVAVkAb9/GhLWtYV29Vb5anqjs9ecU8PDJC3OJlJlV5Ym3aDF1u+4Lfm5MD//wevrKiMOhPEoqEaWlppsNRSQI7uSH72NgYXq+XQqFAMplUu2o1NjaSKiookoReUqi1WxecfSeTycr4t5MSxapDCU5u3FEdw9bd3c3s7KzaWaj6OgSDQZJvNoWAt3oHV7/W7OwsVquVfD5PZ2fnKYPd2NgYOp2ObDZLbW3tkg1E8vm82o1Io9EQjUYJhUJYLBaampqQJEmdOnPyGe38zzE0NEQwGGT9+vXq6nOpbG1FUdQz9HK5zPT0NMViUQ3CZ3tno5UigioiqL5b2WxWzXTNZLKEE0mi8RTpVIK29jbavPXMzfnJZDKVfqmpDDi8lMolEjOjXP3+KwiHw4yMjGDqXM/obBCvScGjLdLR0YHf71cTUoLBIIFAgOems2Ss9VzT7cKWW9iPtlr7efIK5VQNFoaHh2lo7eDVyTgvjkUZjbyZyKEo1BRCuBraaHGZaHUaaXWZaXUZcZoqE0fC4bA6CLqtrW3RWWQ1C9jT3IYvmceXyDM2NUMgr2EkWWnrN58jM4fV28ZaY5wPb11Pk2NxQD9VW8JcLse+ffu49NJLFyX5zJ8xG8oU+c1whJnJcaSaJvrqzFzdU5kI9E7Gv2UyGWKxGI2NjRwOZhmP50n5J7l4XT/dNaYFj5lfe3ry63/sxBBKTSuKJOG1VLaGTSaTmuVa3a6c/7VPnDhBd3c3Wq2WQlkhnM4zfPwozW6Xmg2t1WpJp9OLprHMzMxgMBgWrczS6TTT09MLJjVV/8zr9RIOh99qVMBbuxzVhhHpdJqJiQny+fyis9CTvz+Tk5PqEIGTE+DmK5VK7N27l5qaGtxu95LBtzqSbn7Horm5OZLJpBoQS6XSgik788fJVQUCAXWMnkajWdRdSXh3RJtC4V0zmyuJRdWzqN6ONnIyJHNFxoZOkE5lsOgq764tFgsXbFjHnoOHSCt6WtZv5annnueSiy6kra2N4fHjaO3NBGJBLrl4rXo2VygU1BvihD9ExlSDNjpNo9FOLF1ekOzidDrVLi7zVTN+528RJvMlnhpLsm/vG+Slyi+ARoINjXYu76zBlbPQ27N0IX81YWlqaor6+volb0RarRZZlrEZtPS5rfTWWWgshejr60NWFOaSBYbDGYZDGYbDGeZKNkpBH7+VJJ761RDddWYu76xhW5sLq0Grtqlbis/nY/PmzYu2jfP5/IIaULdFz0fbTRzQ1PN6Ak6Es/iSfj7S7Vy0KqkmU803NzdHe3s7kiSx3mNGr5E46IeBUBatRqLDaVzwRghY1LpRlmUMWg219srIuECmjBKLs7b/rZ2EiYmJBQG12u6xGhT0GpiZGKV/3QYcBi0mXaX2+PDhwzidTkZHRwHwer3E43G1J+18kUiEeDy+qOOV1WqltbVVHS1Y3RWYP04OYGJ8HI1Wq/bhnZiYUHMBqkqlEuPj4xgMBjVhKhQKLVn6Uz0bzmazrF69Wg12S9FoNKxatYpjx46hKApGo5H6+voFuzEGg4E1a9Zw/PhxtSOXTqdDq9WSyWTUpg/t7e1LdhgTzg5ipXoOkmUZRVGYm5tjdna2MjWmzo1kcTAzMYHD6aSx1sHk+Bh+v5+NGzcyPhdhYmqG5u5VpGeH6G5vI53JcjCQRdKbWOWETasr2YrT09NccsklALx0bJJXZlK0N7i5wl1p22az2RYkFU1PT1NXV7cgIFQblne9ObHk5fEY//66j2SuhD0XpKaxjcs6a3hfuxOnqRJgs9ms2kZuKYcOHcLpdJ6yaxJUVm3RaJTm5mbGx8fVsoUlH1so88hvnmHG3sNhf4pqnwO9RuKCZgfrrFku7mvDYjEv+tjqCjYajZJOp9Ut7VOtPjs7O/GnCvzniQixXAklHuDi/jYu73K/7XbwySvlcDjMSCyPX65c0wVeC4Xg9ILHnPwxk5OTeL1eDAYD08kSM4EgRp2WTe2VLjuZTIZwOKwmKFVnls4PfhMTE1hr6sBgQSeB0yBx/PjxBWPYFEXh8OHDFItFampqFqzCfD4fsiwv+b31+Xzk83na29splUqMjY0t2K6NRqMEAwE6OjrUz1e9qYXDYaLRKF1dXUxOTiLLMu3t7YtWiKlUSk1WkySJyclJCoUCzc3NCwLp6OgoNTU1i7Jrqy3/9Ho95XIZh8Nxyr7V1TPduro69fjA6XSq28nC8hMrVeH3Vg2k1X8D6mzL8fFxsqkkxXgMjUZidmqS8ZE8F2zaSHd3N/v376+cETU3458YwWp34QuGcVhMODRl0jotw74g7Q1RWltbyefzvP7662zcuJGM3gaZGZrszTQ0OHG73fz2t79VZz5Wx0edvGLTaDSVlmzJPP+8b4aBuUr3l2aXiWvrG7hic8+iG8ypymfK5TLDw8O0tbWdssa0ymKxMDs7q5Y5vF1LQr0ks76jkfe7zZi2tvDbiRgvjcWYiufYMxXnWDbAr2bgI31uLu+swfhmRnEqlVLPX2tqatSzYr1ef8o6V0mSaLQbuX2Tl2dGYxyOlNjjzxHMh7iur07NVp7/mlRna84Xi8W4qKuLI8EsY/E8e8YCrHK9tW291Hvo+WU7jTYdI8Mx7G3dxPMyLpNW3Y6tmj8JByorTKPRSI3dSjSvUFIqiWUdHR0LztdnZmZoamrC7XYjyzKzs7PkcjkikYjaAnO+ajtKj8ejNrbQ6/X09fURCoU4fvw4kiRV6l37+xdsB/PmdnBdXR2pVIrnn3+eLVu2nPINus1mo6OjgxdffJH6+nq6urqW3O3o6upienqafD5fKSV7879dLteCn2+fz7egacZ8wWAQnU63YHRf9Wy22rRfOHuJlepZrjrXtFoHV210oNVq1f9WFIWJiQkMBgMNjY0kiwrxVJrBI29QV1OD02KkXC5TKpeZS2RJZQvodFrcFj0ajcTRUA5rQyvGmQE+8sH3o9PpGBgYqJTBlFyMzkV4X6uTS1dVVjKJRELtO+xwOGhoaFAHmM+/YTxxeJKHD02R0jnQayU+ubaea/vd5LKZRdt2VSc3p4/H4/j9fnp6etBqtQtGwp1KMBhkdnaW9evXv+0NbHh4mK6uLnXebPWccCKW4/mhOQ6cmCKicwGVAeYf7Knlw311hGYmF13D2NiYuo14cmCcnp5etLp+9sAAh/JOSrKCy6TjY70uMuGF27iTk5NqjWdVdRWqKAqvBzIcOzGMo6GVy1sdOE26RWe64XBY7QkLlRVXKJWnYK5Br4E60pRLJXX7Ph6Pk06n1fPZYrHI+Pi4GnTjBZmJiUm87hq8NW9tYU5MTGC32xdk8lZHvnk8HqLRKJIkqRNeEomEWmqy1Liyubk5tRNT9WesqhpcQ6EQoXCYxsZGbDYbY2NjS64gq2ftiqLQ2trKxMSEOrZtKfl8noGBAfL5vDoVainRaFRdJedyObVJidvtXrC9e/I4uaWSmIQ/jGioL7ytavP6QqGg9tzVarXo9XoMBgMGg2HBO15Jkujo6MBisfDGoUOEpsYwSwobL7wYrdFEQWvEYLKQy2YxlnPUe9yk4lGiBUinM3isetJz05i6N/Liiy+qZQtOp5N4YAY0Gorpt1rNORwOisUifX19WCwWhoaGsFgsTE1NqY95ZjjMvw7EkYo51jfY+JtrevnYmnp0Wg02m+2UfVibm5vVm9Pk5CTpdFody3Xy35+KTqcjn8+/7Y2rOs9So9HQ1tamXrskVTKEL3fL/M2nt/GZzY14rHpShTKPHA3yZ48O8uRQmEhmYYpxdQrKySvtpQapR6NRNrQ3sGN9PQ6jlliuxL/99jhpo2vB46pZoVXxeFx9AypJEpvqLTiNWmQk9vjS5Evyor6+0Wh0QaALhUJ0t3jRaaAow/jsW72Bqx1/5l/vyTsQkYAfi9WKxfrWinx+rWlVJpPhxIkTag/aasMDn8/HK6+8gt/vX3L+Zy6XY3BwEIPBQF9fH319fRiNRgYHB9WmIslUiuPHj6MAq/r7cdjt6kAIWZYZGxtDebO14sjIiJrY193drZ61ZjIZZmdnF31fqm0DN23axPr165mYmFiyVSC8NbLt4MGD6pSp7u7uJVscVgOpLMsUCoVT9skWznxipXqWWGpFOn9V+k7f2Va31BRFQavTkylVZmIm43HWrl+H3ajjwIEDaGx1BIMBTFY72mKGsGJC0ehY0+pFic+xatUqfD4fB3N2JqZ9bKiFLd2t6iogFAqh1WrVd/uRSIQjR45UZkvmzdyzr1K8/gFPiR2Xrl70bn9iYoLGxsYlt2ePHz8OVHoGL5Xd+btGt01MTGAymfB4PKdcZVRXqdXXdXh4mM7OTjV4zz+XlGWFfTMJfn08yKS/0ttYMdr4UG8dH1vjwW7UqWe56XR6wWixpc5Y56+2s8Uy/3kiwtjYKFJNE+/vdLGlyb7keLaTV+mRSISSLHM4pSddlHFoZbp0abW05eRB8/OHtUeyZY5PzGI2m9jUVjnXHR8fx+v1qkF5fHwcj8ejPpdQKEQ6V8DqbkAngctYGYju8XgWzbRNJBJ0dHQsWLXncjnGx8dpbW0lkUioQ9IdDofallOW5UUfB5WAPzQ0pJ6XV48eTh4nB5Wym/3799PU1KRmLy+lek5qMpnI5XJqH+H5isWi+rNS3S6uBmRJkmhsbDxlctNSqm+YATWJSaxa/3DiTFUATr21+/sG0vnmN+UPh8Os6e4ip2hI50scO/w6Wo0Wb2MzxVyGgtVCPJ0ESYNZTpKQjByb8rO23obP58PlcqEZnEFyuNFYZQYGBrjiiivUht5DQ0NqUK2trWX9+vW8PhVm14Eh7IrClrZabr18LdPT04sCS0tLC5OTk+p2ZzU7svoesKam5pTlEjabbcnRaNUmDtVOP6dq6JDP5xdtwXV0dKgZsJFIZMHWoEYjsbXVydZWJy8cyPNC1MxgMM2vB0M8OxLhulVuVhkS9PdWzomHh4fVKSynUg0aZr2WG9e4eSjmYwx4dixGIl9itTl/yub+VdFolO7ubrY6yrw4lWB2dgZ371uv8/T09ILt5Lm5OXUb12mUyKcTON31pIsKmlIWSZLeKgV6czBCtWa1+oahqbmFRCyKXq9nbty3oMECVLonVSe+zDc7O0s+n6e/v19tuA+Vhg7VlWV15+Nk1aQ3vV5Pf38/c3Nz6ipeAXgzG72QzzM5OYlWp+Pyyy9nfHycaDS6ZEJRqVQiFotRLBZJpVKsWbNmyTd4er2eVatWqW9UNRoNZrP5XQ/5rjbmrwbXcrm8oBOTcOYTQfUMU000mr/984cG0qXU1dXhcrk4ceIE+Xweu9NFd08vuWKJeCSMzVlHnaJQyKUpSBLpZBqjvkC+VOREWGFdvaPS81YuoJRz5PQ1bFi1itdee40LLrgAo9GI1WpdENwyGjMPH5wgaarnis4abt3oZmZmRt1mO/kmNDc3pwZRs9m8IPO1OqB6KV6vd8mAOTY2tmCVow4POGmlMjk5uehjq1vBhUKBSCSyZDBWFIVmp4lvXtDJYX+K+w/5mYjleOBIAG8pzCcNbt7XXkloGR0dJRqNLtoKLBaLi7Y847EYV/Y30ZIz8OJEnP2zKfzlEJ++bJP6mPnJUdVrqbIbtGz2WnlmVmE0UaTZWcJl1KpBACrlOvMD1vTUFB0dbaRlhelghLnhShessbEx8vk80Wh0QZKNXq9n48aNpHN5MskcQ8cGaKmvIxgMEgwGkWUZn89Hb2/vgu9bsVhk5M1Rbydvg5dKJZLJpPr4mZkZWltbF3R4mp6eJpfL0dHRoa5EnE4nY2NjmM1mGhsbyeXzTE1NYdDr1WCnAN3d3QQCgQVZ1dVVplarVZtjVIcALHXOms1m1VVpU1PTkg1Cfl/V3/f5xzxarVasWs8SYvv3DLBU5m51VVq9mb+XwuEwwWAQl8tFLJUhUygTCvgxmkz09vZx/MgbRFI50sk4iiSByY7dZubi/k5mUyWef/04Das2cdumBk6cOIFWq8XlclFbW6sm+QD8/cuTDAyN0dHcwNc+2Ke2w0smK+PlTu47GwwG1Qb+J3u77WGobKt2dHSor111ss782shSqcTU1NSCVVMulyMQCCw5Jq5aCqHT6ZZs+OD3+7HZbOqbCFlReG0yzkMHJoglk2QNTlbXW/mvFzbT6DDyyiuv0NXVteB5T05O0tjYuGCrav5N/2ggzePDEcrhWXp6urih341WIy3a+p2bm8NsNqu/O+FwmGPhHBHJgt2goVuTwON2qyvPoaEhenoqK+lYLMbAwABOt5dgpoxcyLJ1TTd2u51yucyJEyfUdpLJZJJQKKS+htF0jhPDI/T19lJjMajf39nZWTo6OgiHw2SzlVVvKpVSp8Wc/DNezaqdn9ymKApTU1MUCgWsVivJZJKWlpZTbq/Ozc1x/PhxWlpa1Ndmqe3gXC7H4cOHsdlsOByOU5a2zM7OUi6XaWlpYW5ujlQqhclkUrea3wsiiWl5iESl80D1l6VYLKrbPFBpUFBNNjpd2z51dXX09fWRTqdxWExsWt3DJe+7lJaOLo4dHcDqrKHZW5lxKZfK5CN+sukMrx4+TqPLDrZa5kaOki6UaWpqwmw2UyqV1IzjfD7PTDzH3qk4aWMNV9XLakCFxRNqoHLjq6+vJxqNLnnNLS0tb5uQND9hKZPJkE6nFzUbqA5Bn/++cn7D+JNJkkQ2mz3lm7x0Or1gq1MjSVzS7uJz6yxct6UXvVbiWCDNXz4+xAOH56itqzRcHxoaUrf4S6XSkr/81Zv2mnor17Sa0JmtjERy/HIwrA4Kn39jT6VSC64zFotxUXcjBq1EsiAzFkqqATWTyZDL5RgbG1Pnf1588cV0dXVhc9Vgdbqw2yvnuPMbuyeTSYLBoBpQE4kEY+MTdPWtwmKsPIeZmRlisRj9/f0YjUaamppoa2ujWCzi8XgwGAyMjY2puxKxWIzBwUFcLpfaEnP+a2Cz2SiVSgQCAcxm86JmGFBZPQ4NDVEoFLj88suBt3oPzx8nJwGzMzPq8YPRaFwwp/dkbrebeDzO0aNHsdls9PT0LGif+F4QSUxnH7H9e5otdU5a3dqprk5Xgkajobu7m3g8zquvvEJNTQ16Q6UrTCKZwmA0sXbdeiZHR5iamiQyOUxNUzuv7dtHvXc1gckRXjgwwLXbNuDz+ejp6SGTyVQa94+P82zUggJsaXHisZUWTWWpJoOcnDik1WoplUqLtkSrw8dPxWg0UigU1F67J09MqaoG35aWFrLZLCaT6W1vklarlUgksihAn2rKDIBWo+Hja71c0l7Dz/fP8IYvxS8PTbLPpPCFDzTT0eFgaGgIr9e7qI60UCgsCrKmYpKPb+7ikeNhhiJZHj0yy4W1b9VUnvw5qtdm1GpY57bw6qiPgGxgYsZPKZdWy4tcLheRSASr1YpOpyOdLRIPB+noruw0VBNytFqtukKtnoUHg0HiqTRt3b1IgFYpMzhY2dadv8U9OztLNptdtDqNRCK8+OKLWCwW1q9fv6hGtDq2sLa2Vv1eZjIZhoaGcLvd1NbWkk5XnovZbFZX3VDZ5o1EIgwODqrbv5OTk8jlciWpyWxWa1qDwSDDw8MLzkTD4TCxWAydTve2jfPfS/PPWauZ6WI7+Mwktn9Pg7dLOKr+cyapnlUVi0Xa2tpIZXNM+YPMTk9hMpmx2GyMj40xNTqE1e7CWd/IrKMTSyrA+3vctLa2qh14ZFnmN8++wIOzerJ6B391dQ9NVs2CrNPq1zw5mxVOXccJSzezVxSFRK7EdDTH8OQMAb8fT1sPDosJu0mLzajDatRhM1b+26DTqNnC87dAl+Lz+bDZbGpj9fmN/0/VHvHkSTOKorBvOsGuFw7i09Si1Wr41HovH13l5vixYxQKBVavXq1+nomJCZqbmxe8qahmDI9Gsjx8PEQ5Msvavi6u7a1k6Va7aFW3Rav1rHq9Hr/fz3MHBlAcHta2N9LpMpFOp2lsbFS3t6udkvYfOYahvh2HUY8m4cfhcOB0OtUVajWgTk9Po9PpsNbWk5chn4qRCgfV2mF4a+JLdUZoVfVND6B24ZqenqZQKOB2uytdnt68B5yqP+/Y2BiTk5O0t7erLRuXkk6n2b9/Pw6Hg3Xr1qHT6RZsB0NlJVsoFBgaGsJgMFTG7NXVnTHzSeffSyRJEklM75DI/j0HvBeZu6dLtQi/UCgwOjqKTqej3eumq72NUCyJ3z9La1sb9fX1HHztZVKJCK39WpJmN0WdpZJh+WafXY1GQ8G7CvPofrqsMm3OSg3tyYPK5zdGn39TrG7RLsXmcPLEK28Q0WaYjuWYjmaZieZI5kugKHiJoFNKzIxOnvK5GnUa6vQFap6boqPOwmY5zKZWh3oeOF8qlVI7+8zNzS3oXbzUMHFgwWqu+jwvanVi3tLE0yEj+6YT3HfIz2FfkmsbtGzYsEENKo2NjZTL5QUBtToQHaCr1swN/W4e/u0MR4M56ixJLm5xkM1m1aSfUqmEz+dTyzRsNhu9Pd3MalwkJC1+v5++vj6gUiJT3cqdmZnBVVdPTqMlFQviNhlwOp1qNm61oUd1go/BYsMfGyMU8GM3G6l31zE5OYmiKAQCARwOx6LGFzMzM2QyGdrb2xecjbe1tZHNZhkYGKBUKtHb27vkuXp1YozdbueKK65gfHyc6enpRVuy80tjLr/8crXXr1oyNe9nLpFIqOfRJ4+vOxOIJKYzn1ipLqPlqiU908zNzTE1NaXO0CzIEApHyWTS1NY38MaBPYT9fhy1Hup71vDBC9czMTqE1Wqlq6uLn742zcGjg3x48yrWWTI4nU61R+r8cob0vJmt84VCIXQ6HS6Xq1KPGEjzxECAp4+HMGSDRHAiS2+9tnqlSJcphcXdiltKkNHXkC4qpPJlUvkSyXyJdH5hoO6TxzghdcCbN9cut4VNrU42tznZ0OIgm4ii0+nUFcv8VV2hUMDn8y05RH2pKTaJRIJcLofH4+H50Sj/+8AshbJCfTHEH199EWu8NhRFYXZ2lvHxcXULta6ujomJCVpbW9UVYKFQ4KWjYxxIV1al13bYyMwOq0Eon89js9nUc+KhoSGa27t4aiJBPh7hig4nXrebVCpFLBajpaWFVCpFJBJBU9OILxQjH5qmsdZBIpEAYMOGDWSzWaanKz2FZY2O6WCEaChId2cHNda3prTE4/HKbkcqpX58IpFAo9FUzmxPKiuqfl6TyaQGx1AopJa+1NTUqIPEq1Nj5qtOtGloaCCdTpPJZE5ZXzo6OorX68XpdFZaJmazWG02vF7vWdGDVyQxvXNi9BtnT1A9XSUwK606sSOfz6tZtdmSwvDIGMFggHgkzNjwIEga6lvbueJD1zB08FUue9/7+Mc9fl6fjnFjh4ZPvG8DkUiEYDCIoiiLzjpPNUrt0NFBTmTtPDEQYDSUUf/cbdGwxV2mta2dFpcZBxnMUp6+N6fZLJXhC1CWFbKFSpCdmvHhj8SZTGt5PVBmJJhZ8FiNBBc4M1yyaS1X9ddRa62sXqq1mslkkra2tkWlOZFIBGBBJ6Hqc5yfqetL5PmnZ48wnSxR1lu4fUsTH+ipU1sKmkwmEokE4XB4UUcjv9+Px+PhjbkMI9EcunyKHVdupsHtAhY2wpg/Hu+Z8Ri+iVHev3kdTXYDg4OD9Pf3q8lIzW3tvPLGIOlknG2bN1LOptDpdDQ0NDAzM0O5XKatrY1cscTAiRFsDgfNDV6sukoCk9/vXzDwu/p6hEIhamtrKRQKZLNZNBqNOhbt5GB68s/f0aNHKx2fursXbL3PV/1+B4NBrFYrq1evPuXvYD6f54033sDhcNDa2vp7NWk4k5TLZcrlslradKpmFuczEVQ5s4PqSpfArKRSqcSxY8fI5XK43W4URaEoK0zNzhEK+pibmUGW5crw6aZWzEYTh6VmjkaK3Noh85GLNyBJlbFg+/btw+Fw0N3drf7An3weqCgKvz4S4N+f3o+v7KwMwtZKXNZTy0fW1LOl3cXYaKUmdXx8HLPZvKh+9e06LOVyOXw+H52dnepQ7ni2yMGpOAcnK/9EolE0yKQkayXAtjn5QL+by3vrmJ0YRaPRLPn5T/UGYak/HzwxzNMhA69MVto9Xt1XxzZHht55n7dQKOD3+xecRVefW1lW+Pc35vBPjbO2v5eP9tUtWkHPPzN+8tAQSa2VC1pq0adCuFwubDYbr7/+OkajkUheIS9LtHV2QXiKuro6HA6H2rjC6XQy4w8wF47S3NGJWa/DqBSZnJzEZrOp2+Tw5hSZYJCamppFCV7xeJyBgQE0Gs2S27yyLDM5OUmxWFTrQKvbxvNrU9PpND6fb0F9abFYZGxsjLq6ugWfNxAIkEgkMBqNNDc3nxO/r6IT09sTQZUzL6i+XSBd6czdlZBKpZidnVUzLwF8iTTP/OYp5qbHKuUJBiOFXA6z1YZ99SWsbnbjKCfUm3y1tZzBYKD0ZtN2u92uJizFs0Xu+s0IL49E0Cpl1jhLfOCi1Xyg343d9NY54+TkJMFgkFWrVi1ZfL9UHWz161dXaJIkMTc3t2Awd9XeN44yVarh6eNBjvlT6p/rtRKXNOnZ4MzyyQ9ftmB1darEq5MTl+Y/tquri0ePBtl9eA4UmQ2WDF++7mJ1+s3Y2NiCFXEymSSdTqsJPEOzQR4+4keyuvjsJi/JuWl1V2F+/a0syzx94ChZZzPddg3mTBiPx8PAwAAejwejo5bhmQDuplbkwBg9XZ1MTU0RCAQqzRRyOebCUUw2OzabA8olUtEgGo2G+vp69XUoFosoikJtbe2iebrV81CbzUZDQwOSJKlj2sxmM263m+npaQC1yf581S5KiUQCq9WK1WqlsbFxyW3bQCBAJBLBYDAgyzIej+ecnFcqkphOTQRVzpyg+k6mwJzPgsEgoVAISZIwGo3ECgqvvXGMrG8Us8lEQ3MrkeAcuVwOo9lMU0sbl11+OTa9BkmSGBsbU1cWc3NzJJPJynlefQ/fe2KESLqITiPxR5e2scWVpbe3B0VR1IHWUOm2lEqlFownO9lSq9Vqws38WsfqarXq5MA1E8vx7GCIp48FmYhkqVfCZDDR5DJx4yX9fHCVB61GIhgMYjAYFt28l5qic/Jj907F+flzh0hq7axudPJnl3dg1GkWrXBPLv0YHh7mWMnFYDhLh8vABaaU+vj5q9TR0VEyFg+jyRKG0DhddVaKxSJ1dXXojSaOTgWxuuoIDB+mvbGeUChEW1sbXq+X0fFJNCYr7oZGisUi4dlJrAYd7e3tCxptxONxTCYT5XJZ/d3xeDxkMhmSyeSS55xQedMxPT1NPB6npaWF1tbWRYGyXC4zNTVFqVTC6XQSjUYXrUarqklKkiTR3t6+5MSbc0111Tq/XO98v0+JoMrKBtWzrQRmpc1vF9fS0sJIOMNTv30NOTCBVqPB4aqMEZNLJTKZNIos09zRwabNF+F22vDPLOz9+/CrJ3j0pddJSVbq7Ua2X9REs8us1gpaLBZqa2sXlDnMD85LmZ2dxel0qivZWCxGJpNZlBR1cieik4Ps/Od8whfniX2D/GYSrPkgURw01Ni4bVsrHYb4gq3bqlM10D95RfvCgQH+9yjkSjJr6q38yYX15NJJdVu12se4+kahOr6sprGVew/6KcfmuOmiPro8lXaSfr+f9vZ2CoUCMzMz5Oxe9uw/QK3FyGXrekilUhjMVk5MB4jFolAusbq9UT3zHJuYRNHoqGtqpVQs4p+ZxG7U09XRro4XrHZBOnklWC6XmZycJBwOYzAYsNvttLS0qDe5alJWtbFGdVWbyWSYmZnBarXS1NSkntXqdLoFHw+V8+3qfFKtVquWhJ0qeJ/rRBLTQiKocvqD6rmauXs6VW/sWq2WkK6GZ198EW3Mj95gRGsyY7fbsOs1xEJBLDYbqUQCg96A3mjg8qs+gNtlJxDP8bn/fQhnMcTmdav4ygc6MerfSrw41fno29WzwsIgVB1qXq3HPFk1kM5P7FlKdUZspijzyOs+nn3tEKPFSqBfa8vwX665iC3tLvXxsViMUqm04Ca/1DZx9bkUrB5+8Px4JbAaE/zZ9dswvfla+Hw+7Ha7mj07Pj5Oc3Mzer2e3wxHOHTsBGv6e7mur27BinZoaIja2lqeOjRESWfkgt52jJkoZZ2ZgcETKArUNzVjLmUw6DRE43FKikSNu55sNks6mcCo09Lk9aDVaikWi2p29tq1axdsv6dSKfx+PxqNhtbWVvWmVl1p5nI5crkcNpuNpqamJROFqt+32dlZPB6P2h5xKbFYjGPHjuH1es/IcpiVIJKYKkSd6mlyNteSnom0Wi1dXV3k83l8Bw/SUutkKhGllM2gLxZAUUhKYDaYiIXDeJqayaZSFPIFHtl1HzVuN3ZXLX+8rZVYws4nLqhZEFCrX2OpJvg6nU5N1FhK9XtbLpdPOZ2mymazkUwmmZubWzLRCFB/ZjQaDTajhlsvbuXa1bU8/NsBnh5KMpzS8fUHjnJlXx1/emUH9XYj4XB40ecLBoOLkndmZ2dpamrCYDDw9as6+MFz40zFcty9d4b/85LKdmi1YUPV/PaGTdoshyxORiNZsrl8pcnBmz19I5EIWY2JokZPjbcFOTrHeDRBNJ5EZzShk4vIsTkKBgMGq5u+Tf0E/T6KxQJNjQ00b1qPXiOpyT4mk4lt27apY+T8fj/RaBSNRkNDQ8OS01oikQilUgmz2UxdXR2xWIxUKrUgqM4fn9bU1ERPTw+RSIQTJ07Q0tKiBu9yucz09DSlUgm73c4ll1xyyu/r+ah6TCU6MZ0+591K9XwpgTkTxONxnnpjlNGjh0GnRyOXqG3pQFJkStk0mlyCrdsuIRgMEvDNYjToSSYSaLUSeoMJuVSke9Ua+np7Mem06DWV4DE7O7tkTWg0Gl1U+zpfoVBgYGCAjo6O39kh59ixY1gsliW/Dpy6oX8gEGB0fJJ96Toeft2HrIBJp+G2bS1sqcnR17swmC+19Xvyn+0fnuXHr06Q1dm4ZWMDH+lxMTMzo67KT37eQ8PDPBkxkynKvM+WYtv6fkKhEAMDA1x++eU89toRqGlCFxgml0qSy2bQGYzUOaw4HHbQ6ACJZCKOpNHQ3tqCp8aF0aDH5/OhKMqiGanVVakkSTQ0NKjTfAAaGhrUzkjVDljzS22gssoMBoPqEHWz2bxkY/tqaVcsFsNsNqPRaGhubhar0t/hfE9iEivVZXY+l8CsJKfTyY2XbeIZl5MDzz6BrDcSHD9Ba0cXmXQCndXO8y++hNVswuP2cGTMT29XO4XYHJlUinK5yNFDr3Ps0CGsdhuOmlrWrd9IMlcgX1bQaUA776ZbU1OjjuhaSjQapVAovKOWc4lEYsFKcD5FURZ0U5qvtraW0dFRbttcy7Xr6vm7p0c5Mpvk314c5AWXia+7GunyWNXPc7KlRr+5pCy3bOvjn/fNcv8hP6Z0gKs2vbV1HQ6H1ZV3KpXCZrXSg5FDs3Fmk3m1ufzFF1/M0dEpjC43sRP7SIQDSIDb48HhsGN3OimXZQxaPQ6Xi3Vr16CVi0yMjzM6EqJcLlNbW6tm6pbLZRKJBMViEZvNtmBVarVacblc+P1+jh49SrFYpL29nebm5kXPOZVKEQqF0Gg0eDweEokEZrN5UUCt1qCWy2Xq6+sXZRQLpyY6MZ0+5+xKVZTAnFn2TUV59uH7QGdEY7Fy3dVX8+pLz6GpbaSYTlLMpEgUNBT0Nv7oA+vRWOwMHj9BcM6HxWohl0yg1WlJJuIU3mzV19m7mq6eHqwWM3qNhE4Ds1OTS64gx8fHsVqtmEymBe0GlxIMBpEkiUgkorbwm+/k88z5qglTk5OTeDwebDYbTx4Lct8zBxgrONBrJb54eQefvKCBQCCAxWLBbrcvuM6WlhY1sM4/c71n7wzPjkRwF4J886bLcFsNi5pbVM9PhyJZHnnmt9jtdnZcsopEMkkaA6PjkwwdfBVJgsbmNhqamikWi+gNBpxOF23trRg1EkH/LMViEa1Wq57VVq+nmlSUSqUwm83odLoFK9fq1rkkSXi9XvV1qiYaVetDZ2ZmKBaLWK3WRV2MQqEQkUiEpqYmNWNYq9UueG2Ed+d8TGISiUq8+6AqSmDOXL/YM8bk3qfRoIDOyLp1a8kEp9HUNBIMBMiEfBidtRgNeupddlZ1tjE8PIKkN6Ix24hFIpTyORqam4iFAuQyabKZDDq9Hr3egMlspqGpBa1Ww6rVa9BKoEFhbHiI1pZmNXidKqMXUM9c+/r61JXtO20mcXJG7vDwMI2NjVitVt44Osh/DMq8OlYZZbe1w8X2fi2b1i5Mljp563dubk4NvKWyzHcfH2AqnGBdVwtfuax9QdZzsVhkZmaGpqYmntpziMFwlgs2biA/MUAkGCQ4O0WxVMLjbaC9qwe9wYjT5aKpwUsuncQ3PUk+nwcqK269Xo/JZKK+vp5wOEwqlUKSJBobGxeUIVUD7cTEBIqi0NnZecqa0WAwSDgcJhwO09jYuGDw/HyZTAafz0cqlaKjo+OcrCtdaedTEpMIqvx+QVWUwJwd8iWZ//vBvbhCA+gNZijlqWtuZ3O7h//vUJ4OtwVn6BBGRx2KXKacTtDe2YXXbsRiNGB31aAx2jj0xuv4Z6Zp6OrHarWSCgcp5nNotZCIhEnE49gdTsxWG9lMiobmFrr7VmO329FKkIhG0EjgrqurBF7prYb+J06coLu7W73BnDhxgt7eXvXv3+7cdqkV7IkTJ7DZbJjNZlwuF48c8vNPz09QKJXpNCb52k2XsrqxEuzz+TyBQGDBPNeTg+yrh47x/x0rIiPx9Ss7sKQryVQyMDIyiqLRMTs7w/j4GHqtlmQ8gSJBPpvBYDTS3b+Wem89dTUudBrIvhkoDQYDTU1N6vOWZRm/3088HicWi6nPa/5KsVQqMTMzQ6lUUj++Oki8/OZYtWoN8dzcHFCZSVoNkLlcjqmpKbVkZn7SkdlsPmVgFpbP+dKJSQRVfndQFSUwZ6exSJb/9+EX8WSmMHrbITyFZHfjS8PhlItvf7CO2Tk/yZJEvliikIiilEvUehswKkW05QJNDQ3odDqODw6iMRipa2hBMlhIxiIochmtTkcs6KOYzWJ3uTDo9GQzaUrlys2j+jPS2NyGyWKhzuOhpraOROTNcz23Gw2V3vqFfI5QIEB7exsSvG3m8FIrWEVReOmll9iwYYMaTMZCGX7w8D7G4mUUnZm/vLaXK/rqFnVMkmWZsbExOrq6UBQoyQqjI6OkrV4i2SKGbAwl7ieVSpKIRkkmE1isVvKZHBa7DYvVSiqZIJ3OUNPYSt/GC3GW4qAo5HI5tWFH9ffG7XarmbnVhKP5K9Jisah2VtLpdLjd7gVbw/PlcjkOHz5MLpejubn5lCtSRVEYHx8nFAqpn08kHZ1e50MSkwiqLB1URSA9Nzw/GuGhJ1+gJhekds1F5Ib3Q20rxViASy7cSI22jF6vx9nSxeuDo0yPDWOwOTE5ajHXeNDEfKzr76UU9dPR3sbBgwcrZ0SSlmyxRDQWI5VM0bFmI9l0knQ8SqmQx+GqpcZTTyGXY3psGKVcRq+V0Op0aCQNmUwaq92BJIHZbMVkMWOzO0klYjS3d6DTG8ikkjS3tCLx5goXQIJUIkE+n8PjeatNn0Rli21marIyNL1YpLWtkk08PDzMSMHBbCyHTiOxpd2FMT1Ha1c3sqyQy+cYHToBikQqGSeTTpFIxNFpdRhMJjQaDYloBL3RTLGYRyNpMJrNyLKCxeEgky8R9vso5NKYnG66e7pZ39FEQ0PDgm2+RCJBKBRClmXi8bg6iWh+c4Viscjs7CylUgmtVktTU5NaQqPX62ltbUWj0aj1teVyecHKd3Z2lnQ6TUtLixqk4/G4OpCg2p5SWFnncicmEVR5K6hOTk5it9tFCcw55p69Mxzb8yJmOUPPpm3MHtuPtr4LotPU1Lr54MWbyEbmWLVqFdlimcd+9Tiy0UoyHkORJBRZRmcwYTXqcVjNGKUyxaLMcEzLS8MpQsk8DeYijtpaGptb6Ky34pDDyJkYJquduoYWgjPjGC1WwjOTRIN+TGYzBrMVk9VOOZ+nVMxTLhYol4qUigUkSYPd6UCn1wMSKKCgUCwWyaXT2N4caSdJmjcTQWQyqRRmiwUFiXw+Sz6bxe5wUSzksTmcKIpMsVgkk06Rz2bRGw2gVOoLFSTsdgdanRaQSCUT2Bw1pFMJMpk0hXyeGk8j7gYvyVCA1vY2BgdPkMyXKJWKFNMJui+6nG1retHlK6PdyuUyyWQSh8OBRqPBbrfjdrsXrCLL5TJjY2NqL2S3201TU9OSN6VsNsuhQ4col8s0NjYuaPIwX/W8ufp77XA4FtXnCivvXE1iEkGVytlVbW0tIyMjOJ1OUQJzjimWZf7upQmih55D1hgIyHYajHlcXWtgdhCKeWo8bhpMEqt7OgmHwxiNRuw1dWQNdgZHx0nE45TyWerXbgUgmUwzeWKYiRhkYlG6bHlM9jrMUhar2YzZqMWoVaBcIJ9NUygWaOpajcFiw2SxYnO6CM5MEg/PodMZqGlowupwkUunmBk5TiYZQ6vVkc+k0RsMWCw2LHYbBoORZDyG1WajmM+jULkh5bM5spk0tW4PSBIWm41yqcT0+BhajQaD2UShWMRmd6LRaGns6KZcLpGIxYjM+YhHw9hdtRhMZvRGM3qdFp0EWg2kU2l+GzWgRGbos+TR22vIFGVKhSyKopBPJVh12TV8ZE0T0WhU7ZOs0Wiora0lFAqhKMqCM85EIqFmPhsMBhobG0mlUgQCAcxmM83NzUiSVFl9v5m5W60T1Wg0TExMoNFoFvQBrrZFrE4uWqr2VDjznGtJTCKoAgMDA6xbt47LLruMn/3sZzQ1NYlgeo4pyQo/fWUC376nSBudZPNwYacbR0sHY4NHwVILqRA2ncKmVb0o6ai6fdne3s7xqSD3//oFjHqJ+vZOdJSQC3lyiTAgYdDrMek11DiduGwWzFqJ1av61TO7RCLB888/T7lcZv369ciKRElRyJVkApEUfp+PTDaDpNWj0+mxmHR0rV6H1VlDNpUgGvCTScZJRkLUeJuwu2rIZTPkUpVh3GgkQEKSNMjlMjaHE53BiH98CIPFTi6dqJxjIVEs5NBZXRTLCq6aGtw2Iy1tHeg1kElEObR/L/l8HpPJhN5gIJ0vMlfQ4W5px2gyo7c58L/+Mjqbk8TsBDZvC2vq7dhtVjo7Oxc1W4DK6vH48eOEw2H0ej0dHR0LpszMl0wmOXz4sFomc6o2gIVCgbGxMQqFAhaLBb1eT3Nz81l/Uz4fnUtJTCKo8lbnlL/4i7/gV7/6Ff/4j//Ixz72sZW+LGGZyYrCz18ZYXzPs6SNTiSNkdsu7UVntrBn4AThulXIUT8k5nDW1dPXUIscnSUSjfP0YJpEtojHmKOl1sSFF22hxttAXNYRiiVJhyt9Z821XrKRAFqTBW0mhoES9W43Zp3E2OBR1qxeTSAQQJIkNm7ciMViYXZ2Vi2Qz2QyTExOMxHOMDibZixtxqTXotdpaHObWVevod6uIxaLYTKbaWprx1PfQHDOT0dXN6VikVBwjvHhoUq/Y6ORnt4+6jweXA47szNTjI+OMjgT4bA/i44yq2skWhvq0Gq1pLM5dGYr7Ru2kixrmBodopBKoLc6yMVDGC1W8v5JkpKJUixA7bpLuPXStZgMlWuq9uZtbW2lXC4zOzurrkLq6+ux2Wxks1mmp6cxGAy0tbUhSRKFQkF9bLVetTrfdP7KFViwej25tlU4e50rSUwiqJ7kF7/4BX/6p3/KTTfdxPe+970lZ2YKZy9FUfjnZw4xcuQAJa0Bja2WT1zURz7io9bbhE9by6HJAPL4G6AzoG1fz+xshOkJP0nZwV/f0Eh/RxMHDx6krq6uUoOq0eKLxHnx+eewepoo6cyksxnkYhGjo4ZSNoVcLuFs66UQ8tHU3kkhMsfc6HE0isyGzZvRyWU0Shmfz6eutk6cOEEwnuNo1Mjjw2W6DUGysh5nfQt3fGwtqxtMHD58mEAgoM4SrTaNX7NmDXNzc7S1tTEzM0O5XMbj8XDo0CEsNjtGq43fjkQZD0Sw2RysaTATj4TBaMbR3InOaKaQjBEdP47ZbCEQiRJLZGivMRNNJlGKRdxbP8KOTU2Y3pzBqiiKOrs0GAyi1WrZtGkTJpNpye9FLBbjyJEjakJSS0vLkqvMdDrN1NQUsixjNBpFu8Bz3NmexCSC6hImJib4zGc+QyAQ4N5772XTpk0rfUnCMvvLe34NST8FvQ20Wi7etA5rZIQtmzdjq3Hz+mSQPa++SsnuAVcjlHJYylk29XdjTProavJy+PBhyuWyWlNZW1vL4cOHaW5upra+gViuxInRcaYnxtC6PBQKRQqZdOVduMWG1mCkXC6TCUyjNZgwOuuoa2rDbDJg1EoYtRpCE0NkE3FikTDRVI6pUg25koZyWaa13sFHLu5DykTQaHVMT07gaWrB4nASi0SIhAJY7E6S8TjFYoF4NIqMgqtrPVZPpctTyjeBpNWh0RvQmSzERgfQlPNIxRyUSvR0d3HBhvV8e/eLWGxWTJFJQMHWtZbLmyx43bVks1l1666mpkZtzVgdwybLsjpfdH4mrtlspqGhgWKxyMTEhDpBpqq60i0UCmg0GhobG08ZoIVzy9mcxCSC6imUSiW++93v8r3vfY//8T/+B1/+8pfPmm+q8LvNxnJ852cP4dCkiTk6sBbjOOx21tVo2NjfSWdnF7f+7ZNYymEaW5updegpF3JQyoOiYKlvo7etAVs2RLPLQi6Twev1EgqF1OSc2tpafD4f6XS60shBVtAZTWhNFtpWbyRbkskUK/9Ew0EiI0cw2Guo6VqLoigkJgcpZtJIGg06iw1Jo6GUSaM1GDHaXZjrKsPMI8NHMDlrsNS3kAnOkg37KRcLWNyN6MxWkGXKpSLlXBqDo5ZCKo6cjqPT6cjEo8wVjOSLRbY0W2lvcOOuq1ObQzjcXg5MhpmbC0AhA6UiGy5+Hx2mMjqtRCqVUstilqrxVhQFn8/H2NgYAL29vXg8nlOepc7MzKgJK5IkiRXpee5sTGISQfV3ePXVV9m5cycdHR385Cc/WTRoWjh7PXhglmeefgqHNkfMux5NNoG5lMJrM9BQU8OPXojRY03yf996CfWeOvYdHyWYl/AlsshISK7Kak+TCtHoMNNkN0AqjJxNkc1mSSQSdHd3s2HDBoxGI7IsMz4+zsTEBPX19axZswZJklAUhaNHj2Ky2glHogweP4ak1bJ262UY7U4iwTlioSCNvWspywrJeJSw3084niITmkVjtmN01eN1WahxOXHU1uE7MYDZYkEuFXB7m6ipqSE8M05/by/lXJpQMMDBgwdxu908PiWxN2TgIy0l/uj9q0lkcowGYkRMHibHxmF6ADQ6SqUCH7nifbQ3N6jN7qt8Ph/JZJKWlhaMRiOzs5V+vgAejwe73U6hUGBiYkLtalRVrU0tl8vqitRoNJ7WnwXhzHW2JTGJoPoOJBIJvvSlL/HLX/5SJDGdQ2RF4c//4w000/uwGHQ09K3l2FycInqc2TliGWi1wIc3tdDZ2UlDQwM+nw+ff47ZSBxD2zqGAzHS/klIR0GRQWuATIy69l56+lehifnpbHTT7H2rTjKbzfLSSy+pc0CTySS1tbW4XC5isRher5dcLsfx48fxer14vV6Gh4dZt24dkiTh9/sJh8NEIhFmQkl2DVsoZVPotXDDhc18aH0DTqeDubk5bDYbqVSlbrS2thaDwYDJZCIUCmG1Wunu7mbv4BQ//s89WK0mNq1qI5QtQWgakCGToKAxUMik2LxhPVv7W5ccEJDL5ZidnSUYDFIqlbjggguWHAQOlUkxk5OT6s1Hp9OdsjZVEODsSmISQfX38B//8R/8yZ/8iUhiOof44jnu+PcDtKUOozE5+dCFfbw+m+RwwYUjO0fSVM9meZxmu45auwWr1YrdbmdiYoJoNEpvby+y3kQ4D/5IjHiuTMnhhWwSyiWw10Ehi00v4a1xYCymsBu0aIpZamwWwqEgiqLQ2NiI0+lc1FB/ZGSEPXv20NbWRqlUor29nXw+j8fjoVwuo9PpmA1E+JfnRnhiWEYBrmlNcGmXlboal5rsEYvFaGtro62tjZHxCVJFkO21BBN5gok08YlBKOYq/RK1OmraerEXExwfm6aQz+PZcCl3XNVLIpHA7/fj8XjQaDSEQqEFtabVwe7j4+PqhJjqirYaeBVFUR8vpsAIv4+zIYlJBNXf0/wkpnvuuYcLLrhgpS9J+ANNRbN84xf7aE8fIW9p5Pr1Hv7jjSwxgxW3PkvG4MRYStPp1HHFmjbabRryuRxHjhxBp9Nx2WWXqeeJsViMsdk5QqkCRXs9YyeOkslkQW8ByuDtQXrzJqCEJjFkoxj1egxaibbe1XjqapCzSQqpOAathnQ8wqreXoLBAIFAgHA4zEc+8hGsVuuC/r+JRIL/+NVL7BuaQ6dRKNX18X/esBGNViIUjpBKZ0hksgTGTlAyuUApg62uck6aTQFlErX9OPUaLjSHiUXCDPpiREtayk1r+dZ167DoNQQCAXXlqygK69evP+VWbTqdZmRkBIPBoE6haWxsPONugsLZ5UxPYhJB9V0ol8t897vf5W/+5m/45je/yVe+8pUz6psq/P6mo1m++W+/pSE7RMnkJptM8XK0gW9/upvRSIoTvjAJUz2O7BxWTxPbOtysr9VSiM2RTqdpba1si8ZiMWZmZvD5fNTW1rJ+/XpyJZlDx4bI6UwEQxEKjgaiwQDF8AzYPVDbBFE/RKZAq4eGHjA7oFyEVBjJ1Yg2HYZ8BuQySjKEZHejKebQ2lwoCig6PWUkSoFJsNWC3Y1krGy/KpEZcHgg5geTHcJTGKQydQ1NtDQ0kp4dwtyyjm//5wnWmONcWJdjNJyjVMqTsjVx+7YuagyV3tfV81F4q0G9VqultbVVXZHOz/Bdan6pICyHMzWJSQTVP8Crr77KrbfeSnt7u0hiOgfMxHL89b8+hT4bRkEhXdDw1dtvoEaTJlWCl4fmeDVmwBifIWZpAElDlxRhdYuHbodEKRWjo6ODhoYG8vk8r7zyCldeeaX6hmtubo6hoSFKpRI6nQ6T1U4gEsVaU4++xktG1hDwz5DwTSK528mlkxQcDRD1gdUJejOkwpAMQWQGmtdWOulrtKDRgKSFUh5NTRO50Bz5bJqy3kGXLoJRKuH2NtHW3ICSirB2VT+Tk5MMDg6yZs0azC43/8ePn6ZXmiZuacRWiKK11XJ5fwPNTjPd3d2nLGfJZrMcPXoUu92OTqdbssevILwXzsQkJhFU/0AiiencEs8W+eG//Sej0SJuYuR0dv7n528k5p+kWCzS2tnNgekEe944ypFiDZTyGEsZFCQaHCb6XFq66x1ctLqbVCLOkSNH2Lp1K1NTU5UuSCYTQ0NDuFwuOjs7aW1tZXh4mL6+PvUaSqUSL7/8MsViEYfTicVmR0aLRqfF420kn88TCszhm5mmubUNWS6TzWTIZzN43HVYTUbmYln+8YkTOIoBdGYHd37l05gMOgKBAEajEYvFwtDQUGVVmcwxMDlHLhkjYm7CWYzQt3ott7x/CwatBkVRmJycBFA7ICmKom4FQ2XQeLU+VRBOpzMtiUkE1WUikpjOHYqi8P/+/EH2BsFDAnR6Nq/qZkOjBZvVQm9vL7lcjuGxCcJGD68dOspA3oEpH6Os0SNLWpzFOA1OM/aMD5tOYtP6NbQ2NeLz+ejp6SGdTjM5OYlWq8Xj8aDVanG73Wqw2r9/P0ajkWKxSEdHB729ver21uDgIP39/QA8++yzyLLM+vXrGRwcXNC3ei6a5r4nXmE8Y+WSDjOfuHwtwWAQr9fLkaEx/DmJ2VCETFmLrpyjJOmxk+Omq69kXU/7otclm83yxhtvUFdXp24FL1WbKggr4UxJYhJBdRmJJKZzy1/+P//CWMGKXVMgjo0mY55VLpkrt27EZrNWpsPk87jdbgaHR5nJaRidnGU2o5DCgL6UoawxUNboMcg5XAYN3s4+WmutNDmMNNmNJOemCIeCFAoFmpubARgfH2fTpk14PB5kWWZ4eJh4PI7b7cZgMGC327HZbOzbt08tWxkeHqatrY3NmzcDlfOml19+mZKri6/+21FMZi07N2iRihnmElkSigFTKUXE2oqRAppEGG0px03b+mhp9NLe3o4kSciyrHY1AvB6veINo3DGOhOSmERQXWYiiencsX80wj3/tpsodux2E+OlGuqVCC2mAtde/X5W1Uj4fD5kWUaj0bBmzRr0ej3jExPEy3qeG0lwcMSHOz9D3lyLrDOQNTgo6sxIiowlH0Ujl9GXcthKSQxaCbvTRXd7E82tbZh1Wsx6DWa9llI2ydzMFLPTU3g8HrK5HP2rVmOrcZMtlBgeHkLRGPDNTKCzugjFksQVAzNSHdlYEF25gC0fBmQUtOQttXS3NLDBa+eFF15kPGNiQ5eXO266glQqxeHDh6mvrxftAYWz0komMYmg+h4RSUznhr/419dJjb1CQraxcU07zwWMeDIT6Cihtbu5uKeerR0uHGY9xWIRZ10Dv3jmCC+/updwMk+mqCFXglVeLUHZitemIBlNyGYnZYcXyWAARcGeDWLP+tGXC0y5NyFrKvWbleAbQ6OUMOdiFPVmTMU0aaMLRdJQ1JrQlfNkjC5kjR5kGW9iCG05h6wxIGv05PQ25LKMNpOgtaefq9Y2kxk/ApLEgRNT7ItZMUklvvzRjTiMGtGwXjgnrFQSkwiq76FEIsGXv/xlHnvsMf7hH/6BG264YaUvSfg9FUoy/8dPXsMSep2c1srt127laNrMgb178MlOspKJGinN+loZXS7BU4dD5IoKgYyGzlodH9zaz2euvRDySQqFAsFwnJKkI1OQKWosTM2FCEaihCQHSiZMJp3GqOQpaE0UTQ7MJiMFay3lQgFdMYNBzpM2OLEUEyRNHvSlLLX5AJgdmChhKGUw2Gqw62XqXXb6ujvpcDv46588wiG/wn+9qoNmc46yuY5f/vYNNPkYSWxcsLaP//KhTSKQCueUlUhiEkH1NLjvvvv44he/yI033sidd94pzqTOMslskc/942s0ZA6j6M3cdv2V9LTV89hzr7E/ZuVwqAyAW46iK6UJlpx8dGMjn/vQKiIBHw6Hg5qaGgYHB+nt7WVsbIx0Ok0ymaS3t5e6ujqOHj2K2WymUCrzwt4BXhkMEU+mORbRU1K07NxWx8cuXU13X39lS0sDU+OjjI+N0t/Xh1arJRqNYjabCYVCNDY2IkkSgUClacS+qQLPT+n47BWtZDIxjo/NYCFL2NTOF66/mIs7ReaucO46nUlMIqieJhMTE9x2223Mzc2JJKazUDCR57/8wyu0Fk9g0shsvHAbH1xTSyKRQOtq5KcvTLB/OkWXZo4YduIaBya9hi1tLtY5smzpbaK5zsHU1JQ6lLtQKBCNRgHU8hqdTocsyxw7dozxSJknX9zLbChOLKchra3lb//kKhptCuVymWQyic1mU7e4mpubKZVK5HI5GhoqE2yCwSBvHD7C08djDMYUPIYCeUVLDQncXRv40nUXYDeJVoHCue90JTGJoHoazU9i+su//EvuuOMOkcR0FomkCvzP+w6RmXoDk6aIzVXPh9d7aPLW8fdPjPPrfePc+MGNNEhz7Ms1EMpWPk5SFFoVP3azDq9Nj7eth66GGrw2iZljr1Nb46Svrw+n06l+rWKxyMjICBaLhaef/y17hkIEk0VCWS3Xv/8ivnLTVkZHhunv72d0dJR0Oo3H4yEej9Pf308inePZ/QMcO3qUgZwbX9mOhygWOUOdNsuVl17MdRevXqFXUhBWznudxCSC6gp47bXX2LlzJ21tbfz0pz8VSUxnEUVR+MWLozz//PPEizpMeh0XdTt59dAw41H4//3XK2mps3D06FFqWroZCmYZnEszEJEwKTlkBSxSgTBO6ogzRx3tthJt2jh1Xi+d7R14HQbMWoWhIweIhwP0r7sASWfkgacP8urxOXRahR6vhTtu/xjBUIAMZsJFHTMjx0mkUgSKZuK5EjVKkmnJS1nS0qiEMBfidNUZ+C83XYvHXbfSL6UgrJj3MolJBNUVkkwm+dKXviSSmM5SRyfD3HPffzIU1+HS5QnljJjI8fP/eSs2s5GpqSkCgQDr16/HYDCQzpc46ktxbHicuZlxYgUNA8UGErnKL7ZGkWlWAliULDFsOKU0KcVMXLLhIENIclFGi4cIWcWIjSwm8hQUPXqphE4poaPMuNRMFgOdygwOo0RnWwu5AowcH6Asa/ja525iVYtrZV88QTgDvFdJTCKorrBqEtMnP/lJvv/974skprNILJHiF488ySvjWbIFmUxZT4s1x6bVPXzkwg7y6QSKoiw49zSZTFitVo4fP053dzc6i5OJSIbJSJaJcJbAxAmUuJ8kZub0zRQ0BsplGUc5SkHREpfstBYm0Ct54tiQtUbqG1to0kTxNrVQZyhTDE/hdtq4ZNtW/vbhw/iO/ZZAwcKWiy7mqx9btcKvmiCcWapnrcCyJDGJoHoGqCYx+f1+7r33XpHEdBaRZZmXXn6Ff3/qDfxFG5PFOlqNCSJlG5e0alnlkVjb5WVtfy82m039uEKhwKuvvsqGDRtwuVxks1kmJyfxeDxMT09TKBQwGo243W4aGxspl8sMDg4yPj6OoijIjlb+r398EYC//swWrr+kD5fLxfHjx3G5XKSzOe59ZojM3CjjOSc3fvh93H5lxwq9SoJwZlvOJCYRVM8Q5XKZv/mbv+G73/2uSGI6Cz376us88MunmEhbyNX0YimEmci7sGvzmHQKG1ssXLK2nQ9f2IXDXPmFk2WZ559/Xh2n1tLSopbd6PV6JicnicfjxGIxrFYrdXV1TE9P09HRQT6f55GXT3Df84N4LPBXX/gIifAcJZ2dw8NTHAmUMOdCDOfr+PKnLuXaTY0r/AoJwplvOZKYRFA9w8xPYvrJT36i9oMVznw/eug1jux7kWJZorV3Ay6zhhdm9MQiYYqKBoumSB4DTV43fXXgtSh4HEY0uQg9HS1oJYX+/n50urdKXBRFQZIkBgYGGB8fp7+/H61Wi8lkIq/o+dPv/ivBgomPX9zKSDBLOZciVdLj1mcZLrdw5+0XsbVHJCUJwjv1hyYxiaB6BpqfxPSjH/2Ij3/84yt9ScI7UJZlvvGTZzlx9A2abTKS2cFHNrfh8jRycHCKAX+BZDKNJCmM51xkZANGqUSdPkOTPknO4KDGWYOn3kuNzYDTrEeSJNKBMXL5ImlTM/FciUSmSCadxJCaYi6jx23MESuZKChaJEnHBQ0yF269mPev8+K0iA5JgvD7mp/E9PtuB4ugegYTSUxnp4dfPsH3fv4Mq2oyRPN6rr+ojU39zRj0ehzedvYeHsI3O0ukaGI2reF4WCKZLdFkSFJWJPQamXDRTFbWs9YSIFy04Cva1c+vl8o0GxKES2ac2jxFycC2bhdr6jV0eW1svXDzCj57QTh3vJskJhFUz3CTk5N85jOfEUlMZ5mpYII7/uE3KLFp0kVQDHauWediTauTTRvW4fV6mZqaQlEU2traiGeKTIYyDI5N4w9GyKYzFJIByqY6iqZa7HYnDosBq76MLhclkSvzr795g3qLzBev6cNiMtHd3S1qngVhmf2+SUwiqJ4FRBLT2alUlvmnxw7wyDN7qdPniOckSorEBb0NXLaxk6sv24xSLjI5OUlTUxMWi4WJiQl8Ph+ZTIampiba29spFovEYjFSqRSDYzNMBeI8ftBPjUmmr72BP7/9Wlwu10o/XUE4p73TJCYRVM8ir732GrfeeistLS389Kc/FUlMZ4lcocQvXxlm99P7KSYCWPQKFr1MsawhLltxWg00WouY9BpMFht1je00NXhxO8xIxTTHRqc5PjJJJBIlnS+TLkooSLS0tPK5G69gfadnpZ+iIJwX3kkSkwiqZ5lkMsmXv/xlHn30UZHEdBY6PBrgF88c5ZmDI1jlOG0OhbIsES9IDEZ05EoSdWYFj0XGri9j0oFeC4m8xFxaQ7Js4qI1rVy5oY0PX9iJt0acswvC6fS7kphEUD1L3XffffzJn/wJn/jEJ0QS01lIURR8kRSBaIZgLIM/HCc4M0YqnSGdKxLNKswlS0xHi7hrXVy1qYMrN7ZxYX8jBt3yNgAXBOH3d6okJhFUz2Lzk5juueceNm8WWZ+CIAiny1JJTDqd7rQFVZFZs8za2tp49tln+exnP8vVV1/N3/7t3yLL8kpfliAIwnmhGki1Wi2yLFMoFNQz19Py9U/bVzqPaLVavvnNb/Lcc8/x85//nOuvv56ZmZmVvixBEITzhkajIRwO8+Mf/5irrrqKF1988fR83dPyVc5TW7du5eDBg3R2dnLxxRfz8MMPr/QlCYIgnNPi8Tj/8i//wg033MCqVat45JFH+MxnPsOaNWtOy9cXZ6qnyf33388Xv/hFPv7xj/P9739/wXQUQRAE4d3LZrM8/vjj3H///TzxxBP09/ezfft2tm/fTkdHB5IknbZrEUH1NJqcnOS2225jdnaWe++9VyQxCYIgvEvFYpHnn3+e+++/n8ceewy3280tt9zCzp07Wbt27WkNpPOJoHqalctlvve97/Gd73yHv/iLv+COO+54V6OMBEEQzjeyLPPaa6+xa9cuHnzwQTQaDZ/+9KfZsWMH27ZtOyO62omgukL27NnDzp07aW5u5u677xadmARBEJagKAoDAwPcf//9PPDAA0SjUT75yU+yY8cOPvCBDywYy3gmEEF1BVU7MT3yyCP86Ec/4hOf+MRKX5IgCMKKUxSF8fFxdu/eza5duxgdHeWjH/0oO3bs4KMf/Shms3mlL/GURFA9A4gkJkEQzneKohAIBHjwwQfZtWsXBw4c4P3vfz87duzgk5/8JE6nc6Uv8R0RQfUMIZKYBEE4H8XjcR555BF2797N888/z9atW9m+fTuf/vSn8Xq9K5Zw9G6JoHoGmZ/E9N//+3/nz/7sz0QSkyAI55z5JTC/+c1v6Ovr45ZbbmHHjh2nvQRmuYmgegYSSUyCIJxrliqBufnmm9m5cyfr1q07qwPpfCKonqFEEpMgCGc7WZbZs2cP999/Pw899BCSJPGpT32KnTt3njElMMtNBNUz3K5du/jCF74gkpgEQTgrKIrC0aNHuf/++9m9ezfRaJRPfOIT7Ny584wsgVluIqieBUQSkyAIZ7KTS2BGRka47rrr2L59O9ddd90ZXQKz3ERQPUuIJCZBEM4kJ5fA7N+/nw984ANnXQnMchNB9SyzZ88ebr31VpqamkQSkyAIp108HufRRx9l165d50QJzHITQfUslEql+NKXviSSmARBOC2y2SxPPPGEOgWmt7dXnQLT2dl53gfS+URQPYtVk5huuOEGfvCDH4gkJkEQlk2pVFJLYB599FHq6urUKTDnUgnMchNB9Sw3NTXFbbfdxszMDPfccw9btmxZ6UsSBOEsVS2BqU6BAfj0pz99TpfALDcRVM8B5XKZO++8k29/+9siiUkQhN/L+V4Cs9xEUD2H7N27l507d9LU1MRPf/pTWlpaVvqSBEE4AymKwsTEhFoCMzw8rE6BOd9KYJabCKrnmFQqxZe//GUefvhh/v7v/55PfvKTK31JgiCcARRFIRgMqiUw+/btWzAFxuVyrfQlnhNEUD1HiSQmQRAAEomEWgLz3HPPsXXrVm655RZuvvlmUQLzHhBB9RxWTWKanp7m3nvvFUlMgnCeqJbA7Nq1i8cff1yUwJxGIqie4+YnMX3jG9/gz//8z0USkyCcg+aXwDz22GPU1taqU2DWr18vAulpIoLqeaKaxNTY2Mjdd98tkpgE4RwgyzJ79+5Vp8AoiqJOgbnkkktECcwKEEH1PCKSmATh7KcoCseOHeO+++5bUAKzY8cOPvjBD4oSmBUmgup5aNeuXXzxi1/k+uuv56677hJJTIJwhptfArN7926Ghob46Ec/qk6BsVgsK32JwptEUD1PiSQmQTiznaoEZvv27dx4442iBOYMJYLqeaxcLvP973+fv/7rvxZJTIJwhphfAvP8889z4YUXqlNgGhoaRMLRGU4EVUEkMQnCCsvlcuoUmMcff5yenh527NghSmDOQiKoCsBbSUwPPfQQf//3f8+NN9640pckCOe0UqnECy+8oE6BqampUafAiBKYs5cIqsICu3fv5gtf+IJIYhKE90C1BKY6BUaUwJx7RFAVFpmamuL2229nampKJDEJwh+oWgJz//33s2vXLiKRyIIpMHq9fqUvUVhGIqgKSxJJTILw7imKwuTkpDoFZmhoiGuvvVadAiNKYM5dIqgKb2vv3r3ceuutNDQ0iCQmQXgb1RKYhx56iF27drF3716uuuoqduzYIUpgziMiqAq/k0hiEoRTSyQSPPbYY+oUmAsvvFCdAiNKYM4/IqgK75hIYhKEimoJTHUKTHd3tzoFpqurSwTS85gIqsLvZX4S0z333MOFF1640pckCKfFUiUwN998Mzt27GDjxo0ikAqACKrCuyCSmITzhSzL7Nu3j/vvv39BCcyOHTt43/veJ0pghEVEUBXeNZHEJJyL5pfA7N69m3A4vGAKjCiBEd6OCKrCHySVSvGVr3yFBx98UCQxCWetk0tgTpw4oU6Buf7660UJjPCOiaAqLIsHHniAz3/+81x//fX84Ac/wG63r/QlCcLbUhSFUCjEgw8+yO7du9mzZw9XXXUV27dv56abbhIlMMK7IoKqsGyqSUyTk5Pce++9IolJOCOdXAKzZcsWtm/fLkpghGUhgqqwrMrlMj/4wQ/4q7/6K5HEJJwxcrkcv/nNb9QpMF1dXWzfvp0dO3aIEhhhWYmgKrwn9u3bx86dO/F6vfzsZz8TSUzCaVcqlXjxxRe5//77eeSRR3C5XNxyyy2iBEZ4T4mgKrxn5icx/fCHP+Smm25a6UsSznGyLLN//361BKZcLqtTYEQJjHA6iKAqvOeqSUzXXXcdd911l0hiEpZVtQRm165d7N69m1AoxMc//nF27NjBhz70IVECI5xWIqgKp8X09DS33347ExMTIolJ+IMpisLU1BS7d+/m/vvv58SJE+oUGFECI6wkEVSF02Z+EtN/+2//ja9+9asiiUl4x6olMNUpMHv27OHKK69Up8DU1NSs9CUKggiqwuk3P4np7rvvprW1daUvSTiDJZNJtQTm2WefZcuWLeoUmMbGRpFwJJxRRFAVVkQqleKOO+7ggQceEElMwiK5XI4nn3yS+++/n1//+teiBEY4a4igKqwokcQkVFVLYHbt2sXDDz8sSmCEs5IIqsKKm5/EdM8993DRRRet9CUJp8mpSmB27NjBpZdeKkpghLOOCKrCGUEkMZ0/FEXh+PHj6hSYagnM9u3b+fCHPyxKYISzmgiqwhll//797Ny5E4/Hw89+9jORxHSOmF8Cs2vXLgYHB0UJjHBOEkH1PaIoijgDepfS6TRf+cpXeOCBB/i7v/s7PvWpT630JQnvwvwSmN27d/Paa6+JEhjhnCeC6ntkdHSU//W//hff//73xbvwd0kkMZ2dqiUwu3fv5plnnmHz5s3qFBhRAiOc60RQfY8cOHCACy+8kJGRETo7O8XK9V0SSUxnh3w+r06B+fWvf01nZ6daAtPd3S1+9oXzhm6lL+BcUw2eoVCI/v5+zGYzgLipvEstLS08+eST3HXXXVx77bUiiekMUiqVeOmll9QpME6nk5tvvpmXX36ZTZs2iZ954bwkguoyq95IpqamSCQSTE5O8utf/5onnniCWCzGj3/8Y9rb21f4Ks8uWq2Wb3zjG3zoQx9i586dPPXUUyKJaYXIssyBAwfUEphSqcRNN93Eo48+KkpgBAGx/bssisUier2eoaEhfvvb3zI7O8udd95JIpHg4osvxmg00t/fz9atW/noRz9KY2PjSl/yWUskMZ1+1RKYXbt2sWvXLoLBoDoFRpTACMJCIqgugzvvvJOf/exnRKNRvF4vN910E9///vfZvn07P/rRj7BarYs+plwuiy3MP8CDDz7I5z73OZHE9B6plsA88MAD3H///QwODnLNNdeoJTBL/UwLgiCC6rJ57LHH6O/vp6WlBb1ez/XXX8+nPvUpPv/5zwOVXqYvvPACjz76KHfeeae4KS2D6elpPvvZzzI2Nsa9994rkpj+QIqiEA6H1SkwogRGEH5/4gDkD1QulwH42Mc+Rl9fHxaLBUVR2Ldvn5qkBJWz1ubmZgAuuugi9u7duyLXey6pJjF98Ytf5Nprr+XOO+9Uvx/CO5dMJvnFL37BTTfdRE9Pj/rfExMTPPnkk/zxH/+xCKiC8A6Jlep7YO/evVx33XX8+te/ZsuWLYv+/p//+Z8JBoN8/etfX4GrOzfN78R0991309bWttKXdEbL5/MLpsC0t7erJTA9PT0ic1cQ3iWR/fseuOiii/jhD3+Iy+UC3jo/rf778ccfp76+fmUv8hyzZcsWDhw4wB133MG2bdv4u7/7Oz796U+v9GWdUU4ugXE4HNx888289NJLogRGEJaJWKkus1M1eZBlmUcffZT9+/fz9NNP88gjj+DxeFbgCs99Dz74IJ///Oe59tpr+du//dvzOompWgKza9cuHnjgAYrFojoF5rLLLhMlMIKwzERQfQ9NTEzwT//0T2QyGY4ePUq5XOaWW27hwx/+MF1dXSt9eee0mZkZbr/99vMyiUlRFAYHB9USmEAgIEpgBOE0Edu/76EnnniCO++8k29+85s8+eSTC/5OlmWxSngPNTc3L+jE9PWvf52vfe1r52wZk6IoTE9Pq1Ngjh8/zjXXXMN3vvMdUQIjCKeRWKm+x37zm9/w7W9/mw984AN861vfWunLOS9Vk5jcbjc/+9nPzpkkpvklMLt37+bVV1/liiuuYOfOnaIERhBWiFgqvUdkWQbg6quv5qGHHmJqaorXX399ZS/qPFVNYlqzZg3btm1j165dK31Jf5BqCcynPvUpenp6+Pd//3duvPFGxsfHeeqpp0QJjCCsILFSfY/N75wktnxX3kMPPcTnPve5sy6JSZTACMLZQQTV00CMfTuzzE9iuueee9i6detKX9KSyuUyL730Evfdd9+CEpidO3eKEhhBOEOJoCqcl2RZ5q677uJb3/oWX/va1/j6179+RiQxybLMwYMH1SkwhUKBm266iZ07d4oSGEE4C4igKpzXzoQkpvklMLt372Zubo4bbriBHTt2cPXVV4sSGEE4i4igKpz30uk0d9xxB7t27TptnZiqJTDVKTDVEpjt27fzsY99TJTACMJZSgRVQXjT/CSmu+66C4fDsayfv1oC8/DDD7Nr1y61BGb79u3cdNNN1NbWLuvXEwTh9BNBVRDmeS+SmFKpFL/85S/ZtWsXTz/9NBdccAG33HILt9xyC01NTSLhSBDOISKoCsJJliOJqVoCs2vXLn71q1/R1tbGjh07RAmMIJzjRFAVhFM4cOAAO3bseMdJTOVymZdfflktgbHb7dx8883s2LGDTZs2icxdQTgPiN9yQTiFzZs3c+DAAdauXXvKTkyyLLN//36+8Y1vsGrVKm677TaMRiMPPfQQo6Oj/OAHP2Dz5s0ioAqkUimgMoJPOHeJlaogvAPVJKZrrrmGu+66C7/fr06B8fv96hQYUQIjLOXuu+/mrrvu4tlnn6WxsZFyucxTTz1FX18fnZ2dotvaOUQEVUF4h2ZmZrj11lt55ZVXALjmmmvYsWOHKIERFvnVr37F6tWr6ezsBOCSSy7hpptu4mtf+xqvvvoqt912G4VCgc985jN85zvfEV3XziEiqArC70GWZb72ta/xzW9+k9raWnEjFBYZGxvjhhtuQKfT8U//9E9otVpuvvlmXnnlFbxeL4lEgmeeeYb6+np++MMf8s///M+YTKaVvmxhmYigKgiCsMzm5ub46le/yhNPPMFNN91EqVTi7rvvXvCY8fFxvvWtb7F9+3auueYasQV8jhDfQUEQhGXm9Xr5+c9/ztVXX81PfvITLr30UvXvqmMhPR4PGzZs4Omnn16pyxTeAyKoCoIgLLPqyMdVq1YBcO+99/Jv//ZvCx5jtVq54IILGBkZIZlMilXqOUJ8FwVBEJaZVqslHA7zi1/8gl27dnHFFVfwhS98gccee4xCoaA+btu2bXR1dfHEE09w7NgxMpnMCl61sBxEUBUEQXgPPPfccxgMBq688kq+/e1vc/vtt/PVr36V5557Tn3MM888w3/+539yyy238M1vfnNBwBXOTiJRSRAEYRlVy2OuvvpqNm7cyA9+8AMAMpkMiqKo5VeFQoE/+qM/YvPmzXz2s5+lrq5uJS9bWCa6lb4AQRCEc4kkSbzyyiskk0k+85nPqH9usViASqKSJEkYDAb+9V//Vf37agKTOFs9u4mVqiAIwgoql8toNBpR83yOEG+JBEEQ3iPlcvl3Pkar1YqAeg4RK1VBEARBWCZipSoIgiAIy0QEVUEQBEFYJiKoCoIgCMIyEUFVEARBEJaJCKqCIAiCsExEUBUEQRCEZSKCqiAIgiAsExFUBUEQBGGZiKAqCIIgCMtEBFVBEARBWCYiqAqCIAjCMhFBVRAEQRCWiQiqgiAIgrBMRFAVBEEQhGUigqogCIIgLBMRVAVBEARhmYigKgiCIAjLRARVQRAEQVgmIqgKgiAIwjIRQVUQBEEQlokIqoIgCIKwTERQFQRBEIRlIoKqIAiCICwTEVQFQRAEYZmIoCoIgiAIy0QEVUEQBEFYJiKoCoIgCMIyEUFVEARBEJaJCKqCIAiCsExEUBUEQRCEZSKCqiAIgiAsExFUBUEQBGGZiKAqCIIgCMtEBFVBEARBWCYiqAqCIAjCMvn/AzqOLAx5pwPFAAAAAElFTkSuQmCC",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"ax = plt.figure().add_subplot(projection='3d') # 创建 3D 图形并添加子图\n",
|
||
"ax.plot_wireframe(xx1, xx2, ff_x, rstride=1, # 绘制线框图\n",
|
||
" cstride=1, color=[0.5, 0.5, 0.5], # 设置线框颜色\n",
|
||
" linewidth=0.2) # 设置线框宽度\n",
|
||
"ax.contour3D(xx1, xx2, ff_x, 20, cmap='RdBu_r') # 绘制 3D 等高线图,使用‘RdBu_r’颜色映射\n",
|
||
"\n",
|
||
"# 去除坐标轴刻度\n",
|
||
"ax.xaxis.set_ticks([]) # 去除 x 轴刻度\n",
|
||
"ax.yaxis.set_ticks([]) # 去除 y 轴刻度\n",
|
||
"ax.zaxis.set_ticks([]) # 去除 z 轴刻度\n",
|
||
"plt.xlim(-2, 2) # 设置 x 轴范围\n",
|
||
"plt.ylim(-2, 2) # 设置 y 轴范围\n",
|
||
"ax.set_proj_type('ortho')\n",
|
||
"ax.view_init(30, -125) # 设置视角角度\n",
|
||
"ax.set_xlabel('$x_1$') # 设置 x 轴标签\n",
|
||
"ax.set_ylabel('$x_2$') # 设置 y 轴标签\n",
|
||
"ax.set_zlabel('$f(x_1,x_2)$') # 设置 z 轴标签\n",
|
||
"plt.tight_layout() # 调整布局以适应图形窗口"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "2d6d29e4-4dcd-483b-bdee-66c57a10b7d9",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 2D 可视化"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"id": "b4523751-998c-4bbb-bdd8-5cae13d9f7f3",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig, ax = plt.subplots() # 创建 2D 图形\n",
|
||
"\n",
|
||
"plt.contourf(xx1, xx2, ff_x, 20, cmap='RdBu_r') # 绘制填充的等高线图\n",
|
||
"\n",
|
||
"plt.quiver(xx1_, xx2_, V[0], V[1], # 绘制梯度矢量场\n",
|
||
" angles='xy', scale_units='xy', # 设置矢量的角度和缩放单位\n",
|
||
" edgecolor='none', facecolor='k') # 设置矢量的颜色\n",
|
||
"ax.set_aspect('equal') # 设置图形的纵横比\n",
|
||
"ax.xaxis.set_ticks([]) # 去除 x 轴刻度\n",
|
||
"ax.yaxis.set_ticks([]) # 去除 y 轴刻度\n",
|
||
"ax.set_xlabel('$x_1$') # 设置 x 轴标签\n",
|
||
"ax.set_ylabel('$x_2$') # 设置 y 轴标签\n",
|
||
"plt.tight_layout() # 调整布局以适应图形窗口"
|
||
]
|
||
},
|
||
{
|
||
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{
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||
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