{
"cells": [
{
"cell_type": "markdown",
"id": "ad76a459",
"metadata": {},
"source": [
"# Laplace Equation"
]
},
{
"cell_type": "markdown",
"id": "04d2d8bb",
"metadata": {},
"source": [
"**강좌**: *기초 전산유체역학*"
]
},
{
"cell_type": "markdown",
"id": "331cf45a",
"metadata": {},
"source": [
"## Laplace Equation\n",
"Laplace Equation은 비압축성, 비회전류 유동에서 정상상태일 때 Velocity Potential 또는 Streamfunction의 해이다.\n",
"\n",
"$$\n",
"\\nabla^2 u = 0.\n",
"$$\n",
"\n",
"간단한 예제로 Heat Conduction에 의해 Steady State에 도달하는 경우를 생각하자\n",
"\n",
"예를 들면, 윗면에 온도만 300도이고 나머지 면의 온도가 100도인 경우 최종적으로 2차원 공간 내 온도 분포는 Laplace Equation으로 구할 수 있다.\n",
"\n",
"$[0,1]^2$ 공간에 대해 수식으로 표현하면 다음과 같다.\n",
"\n",
"$$\n",
"-k (T_{xx} + T_{yy}) = 0\\\\\n",
"T(x,1) = 300, T(x, 0) = T(0, y) = T(1, y) = 100\n",
"$$\n",
"\n",
"편의상 $k=1$ 로 생각한다.\n",
"\n",
"### Finite Difference Method\n",
"그림과 같이 계산 영역을 x, y 각 방향별로 균일하게 나누어서 생각하자.\n",
"\n",
":::{figure-md} Grid\n",
"
\n",
"\n",
"Grid\n",
":::\n",
"\n",
"이 경우 2차원 Array는 각 격자점의 해와 부합한다.\n",
"\n",
"각 방향별 편미분을 2차 정확도 Central Difference로 표현하면 다음과 같다.\n",
"\n",
"$$\n",
"\\frac {T_{i+1,j} -2 T_{i,j} + T_{i-1,j}}{\\Delta x^2}\n",
"+\n",
"+\\frac {T_{i,j+1}^n -2 T_{i,j}^n + T_{i,j-1}^n}{\\Delta y^2}\n",
"=0\n",
"$$\n",
"\n",
"$\\Delta x = \\Delta y = h$ 인 경우 다음과 같이 정리된다.\n",
"\n",
"$$\n",
"T_{i+1,j} + T_{i,j+1} - 4 T_{i,j} + T_{i,j-1} + T_{i-1,j}\n",
"=0\n",
"$$\n",
"\n",
"이를 Matrix 형태로 나타내면 다음과 같다.\n",
"\n",
"$$\n",
"\\left [\n",
"\\begin{matrix}\n",
"-4 & 1 & & 1 & & & & &\n",
"\\\\ \n",
" 1 &-4 & 1 & & 1 & & & &\n",
"\\\\\n",
" & 1 &-4 & & & 1 & & &\n",
"\\\\\n",
" 1 & & &-4 & 1 & & 1 & & \n",
"\\\\\n",
" & 1 & & 1 &-4 & 1 & & 1 & \n",
"\\\\\n",
" & & 1 & & 1 &-4 & & & 1\n",
"\\\\\n",
" & & & 1 & & &-4 & 1 & \n",
"\\\\\n",
" & & & & 1 & & 1 &-4 & 1\n",
"\\\\\n",
" & & & & & 1 & & 1 &-4\n",
"\\end{matrix}\n",
"\\right ]\n",
"\\left [\n",
"\\begin{matrix}\n",
"T_{1,1} \\\\\n",
"T_{1,2} \\\\\n",
"T_{1,3} \\\\\n",
"T_{2,1} \\\\\n",
"T_{2,2} \\\\\n",
"T_{2,3} \\\\\n",
"T_{3,1} \\\\\n",
"T_{3,2} \\\\\n",
"T_{3,3} \n",
"\\end{matrix}\n",
"\\right ]\n",
"=\n",
"\\left [\n",
"\\begin{matrix}\n",
"-T_{1,0} & -T_{0,1} \\\\ & -T_{0,2} \\\\ - T_{1,4} &-T_{0,3} \\\\\n",
"-T_{2,0} & \\\\ 0 \\\\ -T_{2,4} & \\\\\n",
"-T_{3,0} &-T_{4,1} \\\\ &-T_{4,2} \\\\ - T_{3,4}& -T_{4,3}\n",
"\\end{matrix}\n",
"\\right ]\n",
"$$\n",
"\n",
"단 한번에 역행렬을 구함으로 써 모든 점에서 온도를 구할 수 있다.\n",
"\n",
"다만 공간 차분 점이 늘어날수록 역행렬을 계산하는 시간이 급격하게 늘어난다."
]
},
{
"cell_type": "markdown",
"id": "9148637b",
"metadata": {},
"source": [
"### 예제\n",
"Laplace 행렬을 구성한 후 Linear System을 해석하시오."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "19a660d3",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"\n",
"import numpy as np\n",
"\n",
"plt.style.use('ggplot')\n",
"plt.rcParams['figure.dpi'] = 150"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "693b6dcc",
"metadata": {},
"outputs": [],
"source": [
"def laplace_op(n):\n",
" \"\"\"\n",
" Laplace operator\n",
" \n",
" Parameters\n",
" ----------\n",
" n : integer\n",
" size of system\n",
" \n",
" Returns\n",
" -------\n",
" a : matrix\n",
" operator\n",
" \"\"\"\n",
" a = np.zeros((n*n,n*n))\n",
" \n",
" for i in range(n):\n",
" for j in range(n):\n",
" if i == j:\n",
" for l in range(n):\n",
" for k in range(n):\n",
" ii = n*i + l\n",
" jj = n*j + k\n",
" \n",
" if l == k:\n",
" a[ii, jj] = -4\n",
" elif abs(l-k) == 1:\n",
" a[ii, jj] = 1\n",
" elif abs(i-j) == 1:\n",
" for l in range(n):\n",
" for k in range(n):\n",
" ii = n*i + l\n",
" jj = n*j + k\n",
" \n",
" if l == k:\n",
" a[ii, jj] = 1\n",
" return a"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "f79fd20a",
"metadata": {},
"outputs": [],
"source": [
"def bc(n):\n",
" \"\"\"\n",
" Solution array with BC\n",
" \"\"\"\n",
" x = np.zeros(n*n)\n",
" \n",
" for i in range(n):\n",
" for j in range(n):\n",
" if i == n-1:\n",
" # Top\n",
" x[n*i + j] -= 300\n",
" elif i == 0:\n",
" # Bottom\n",
" x[n*i + j] -= 100\n",
" if j == n-1:\n",
" # Right\n",
" x[n*i + j] -= 100\n",
" elif j == 0:\n",
" # Left\n",
" x[n*i + j] -= 100\n",
" \n",
" return x"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "08f99961",
"metadata": {},
"outputs": [],
"source": [
"# Construct operator\n",
"n = 19\n",
"a = laplace_op(n)\n",
"x = bc(n)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "52977580",
"metadata": {},
"outputs": [],
"source": [
"# Solve\n",
"from scipy import linalg\n",
"\n",
"tt = np.linalg.solve(a, x)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1ba360f6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate points (excluding BC)\n",
"xi = np.linspace(0, 1, n+2)\n",
"xx, yy = np.meshgrid(xi[1:-1], xi[1:-1])\n",
"\n",
"# Plot contour\n",
"plt.contour(xx, yy, tt.reshape(n,n))\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"id": "473db367",
"metadata": {},
"source": [
"### Computational Costs\n",
"- 선형 방정식의 계산은 Matrix-Matrix 곱 연산이다.\n",
"- Matrix 곱 연산의 계산 시간은 $O(n^3)$ 임\n",
"\n",
"#### Matrix 곱셈 연산 속도 측정\n",
"* A ($m \\times n$), B ($n \\times l$) 곱셈 연산을 수행할 경우\n",
" * A 행렬의 row vector와 B 행렬의 column vector 가 내적한다 \n",
" - $a_1*b_1 + a_2*b_2$ : 2번의 곱셈 + 1번의 덧셈\n",
" - $2n-1 \\approx 2n$ 번의 연산 (덧셈 & 곱셈)\n",
" * m 개의 Row 와 l 개의 column 에 대해 연산을 반복한다.\n",
" - 총 $2 m \\times l\\times n$ 번의 연산 수행\n",
" - $2 m \\times l\\times n$ Floating Points OPerations (FLOP)\n",
" \n",
"* GEMM (General Matrix to Matrix Multiplication)\n",
" * 대표적인 연산 속도 측정 방법\n",
" * FLOPS : Floating Points OPerations per Second\n",
" \n",
"* `%timeit` 함수를 이용해서 $m=n=l=4096$ 인 경우 평균 연산 시간과 FLOPS를 측정하라\n",
" * 사용중인 CPU의 이론 성능과 비교해보자\n",
" - https://en.wikichip.org/wiki/flops"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d1055655",
"metadata": {},
"outputs": [],
"source": [
"m=n=l=1024\n",
"\n",
"a = np.random.rand(m, n)\n",
"b = np.random.rand(n, l)\n",
"c = np.random.rand(m, l)\n",
"\n",
"t = %timeit -o c[:] = a @ b\n",
"\n",
"flops = 2*m*n*l / t.average\n",
"print(\"Measured FLOPS : {:.4f} GFLOPS\".format(flops*1e-9))"
]
},
{
"cell_type": "markdown",
"id": "3a3dea90",
"metadata": {},
"source": [
"### 실습\n",
"* 위 Laplace 방정식의 격자 개수를 늘려보자. 해의 변화를 관찰하고, 계산시간의 증가를 파악하라.\n",
"\n",
"* 실습 페이지의 Poisson 방정식을 해석해보자."
]
},
{
"cell_type": "markdown",
"id": "d8a993f5",
"metadata": {},
"source": [
"## Iterative Methods\n",
"\n",
"### 개념\n",
"매우 큰 행렬 System $Ax=b$ 를 반복해서 푸는 방법이다.\n",
"\n",
"기본 개념은 다음과 같다.\n",
"- $A = A_1 - A_2$\n",
" - $A_1$ 은 역행렬을 쉽게 구해지는 형태이다.\n",
" \n",
"$$\n",
"A_1 x = A_2 x + b\n",
"$$\n",
" \n",
"- 반복되는 해를 $x^{(k)}$ 하고 이를 적용한다.\n",
"\n",
"$$\n",
"A_1 x^{(k+1)} = A_2 x^{(k)}+ b\n",
"$$\n",
"\n",
"- $x^{(k)} \\rightarrow x$ 이면 오차 $e^{(k)} = x^{(k+1)} - x^{(k)} \\rightarrow 0$ 이다. 즉 오차가 $e^{(k)}$ 감소할 때 까지 반복한다.\n",
"\n",
" - 모든 경우에 오차가 감소하지 않는다. $A_1^{-1} A_2$ 의 Eigenvalue가 모두 1 보다 작아야 한다.\n",
" \n",
" \n",
"### Point Jacobi Method\n",
"이 방법은 $A_1 = D$ 로 한 경우이다.\n",
"\n",
"Laplace 문제에 적용하면 다음과 같이 표현할 수 있다.\n",
"\n",
"$$\n",
"T_{i, j}^{(n+1)} = \\frac{1}{4} \\left (\n",
"T_{i+1,j}^{(n)} + T_{i,j+1}^{(n)} + T_{i,j-1}^{(n)} + T_{i-1,j}^{(n)}\n",
"\\right )\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "6eef721d",
"metadata": {},
"outputs": [],
"source": [
"def jacobi(n, ti, dt):\n",
" \"\"\"\n",
" Jacobi method\n",
" \n",
" Parameters\n",
" ----------\n",
" n : integer\n",
" size\n",
" ti : float\n",
" current time\n",
" dt : array\n",
" difference\n",
" \"\"\"\n",
" for i in range(1, n+1):\n",
" for j in range(1, n+1):\n",
" dt[i, j] = 0.25*(ti[i-1, j] + ti[i, j-1] + ti[i+1, j] + ti[i, j+1]) - ti[i, j]\n",
" \n",
"def jacobi_v1(ti, dt):\n",
" \"\"\"\n",
" Jacobi method (Vector version)\n",
" \n",
" Parameters\n",
" ----------\n",
" n : integer\n",
" size\n",
" ti : float\n",
" current time\n",
" \n",
" Parameters\n",
" -----------\n",
" dt : array\n",
" difference\n",
" \"\"\"\n",
" dt[1:-1, 1:-1] = 0.25*(ti[:-2, 1:-1] + ti[1:-1, :-2] + ti[2:, 1:-1] + ti[1:-1, 2:]) - ti[1:-1, 1:-1]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "421fddcc",
"metadata": {},
"outputs": [],
"source": [
"n = 19\n",
"tol = 1e-5\n",
"ti = np.zeros((n+2, n+2))\n",
"dt = np.zeros((n+2, n+2))\n",
"\n",
"def bc(t):\n",
" t[-1, 1:-1] = 300\n",
" t[0, 1:-1] = 100\n",
" t[1:-1, -1] = 100\n",
" t[1:-1, 0] = 100\n",
" \n",
"err = 1\n",
"hist_jacobi = []\n",
"while err > tol:\n",
" # Apply BC\n",
" bc(ti)\n",
" \n",
" # Run Jacobi\n",
" jacobi(n, ti, dt)\n",
" #jacobi_v1(ti, dt)\n",
" \n",
" # Compute Error\n",
" err = linalg.norm(dt) / n\n",
" hist_jacobi.append(err)\n",
" \n",
" # Update solution\n",
" ti += dt"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9e6f2bfa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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+O+3VMdOYExw/LuLDDXYDRaZi8p2JB/oqbOXCkVktzu3FSdEmuzOriReMPAg7yoewpXwIW8qDsKN8CFvKR1dbOjKU1ZBv7AxjP1+GMr1CT5pfqlPEpBGljhwXY6Q6czsba3L6nPQOUfuxITqLy6OnEqMLlLVP2iWJt/JyefHkMSz2Tk9YZmgYv168rN9kAP0hRM0wGaqocXG4pprfHthDraGzQwVrtdw/fzErEyYNq219dUCXe/GLunzMUk/3YpJfKFfHTueiyAz8Vd5doGwwtDozqxUMMrNaml8qC2Lmk+qfQmN94+g0dpwiXtTyIWwpH8KW8iDsKB/ClvIgSRKKECU5bbkcrT1KgamINntbv59xZSjL8EsnXZfqUxnKzockSZxoreKD6lPsbCzue3lCzDRWRaSiVXau95arT9YZDDx+cC/7q6s89t+cmcVtM2adNxlAfwhRM0yGK2qg7yQCV6am8+NhJBE4Xwc830Iwf6WGi6Mmc1XMdJL0oUNqg7ciSRKNtkbnbE3BgDKrqRVq4jVxJGoTSdJOIlGbSKgqZFzM2IwW4kUtH8KW8iFsKQ/CjvIhbDk0THYT58wVlJrLKDOXU2Yuo/U8IkaJ0lEawhml4WsZygaCwWbhi/p8Pqg6TZGhZ8Y2VyKpq2Kmk9VHIik5+mRfyQAeWriEBTEDSwbQH0LUDBM5RA10JhH4w9FDGG2d3pOkoCB+vWgZmUNIIjDQDmiT7BxoKu81ZZ+LecHxXBUznaVhST5T82YwSJJEtbXawyV9vsxqAEHKQBKdAidJm0iCNt4nM52MFuJFLR/ClvIhbCkPwo7yIWx5fuySnVprnVu8lJrLqLbUnHctrQIFcZpYdziZr2YoGwjlxmb+V32aLbVnabeZexyP1gZy5QBLfgwri5yMyQD6Q4iaYVJSVo5GJd8gv7S1hUf27yG3WxKB22fO4sbJg0siMJQOONAb4LKoKYRqel9UPx6wSTbOmSsoMDkWD5aay7BK56+2rkBBjCaaJG2iW+xEqSPHjet6uIgXtXwIW8qHsKU8CDvKh7BlT9pt7ZSZy91emHLzufOuh3ERo4shRZ1Mui6VNF0aASr5ip97GzbJ7q4tc6C5vNdz5gUncHXMNJYMYqJ6qH2yt2QAOmcygCuHkAygP85WN7B67owhf37Ci5obn/kPd1+8kKSIoS1q6g2L3cbLJ0/w+lnPJAILo2P5xcLFRA4wicBwHooGm4Wt9QV8UH2Kwo7eXZWrnTVv+nJVjidCI0IpM5RzvPqEe1aowTaw9TU6hc4pcCa5xY4vp3wcDuJFLR/ClvIhbCkPwo7yMdFtaZWsVFqqOr0wpvLzFrp0oVPomKRNcL9z58TNJlgTPO5tOZAlBZdEZXJlzLQhLSkYbJ+0SxJv5+XyQi/JAB5etIzkYBnHzTYb/955kk3H89n3ux8P+ToTXtQseuDP2O0St6+ew/pZ8irOQzVVPHpgr0cSgRCtlgcWLGZF/PmTCMjxUHQtKvuw+jQ7Got6XVSWFRDFVTHTWB2R5rGobDzRmy3bbG2Umc+53d7l5nMDClkDCFeFOx64OofIidPEjrsY3t6Y6C9qORG2lA9hS3kQdpSPiWRLSZJotjVTai6j1FxOubmcc+aK86ZWhs7oCFdkRKJ2EtHqKI/oiPFuy7PtdXxYfYqtdQW9Jn9K1odydcx01g0z+dNg7NhXMoCbMrO4bfostCr56iOWNbTw5Oa95FU3oteq2T8MUTP+R2EDwGS18afPD3GgqIq7L15IiL88sYHzo2P5v3WX8fvD+8k+53AhNpvN3L97B1enZfCjWXPxG2ISgYGiUCiYFRzHrOA46sztbHKm/2vokv4vp72WnMJsXijd5655E+PjNW8GQqAqkKn6KUzVTwFc8b21lJrL3bNLfcX3NtgaaDA0cMxwHAA1auK1IgmBQCAQCMY3rsX8ZU4RM5DF/C4ClQEe78kEbTx+yv7XgoxHLHYb2xuK+KD6FKfbeparUKJgeVgyV8VMZ05w3KiOJXZVnON3B/fRZO6c5I1wJgNYKEMyABeSJLHlRCF/+/IIJmv/hdcHyoT31Kx75CWqWzqzZoUH+HHfZYuZlyzvH25jcSF/7JZEICUomIcXL2NyaFivnxup2Ql3zZvqU5xs7b3mzdKwJK6Omc7ccVLzZqi2NNlNlDu9OY5Y4PLzppN0MR6TEIz3GbPRRNhSPoQt5UHYUT7Giy3tkp06a51bvJSZy6myVJ93MT84yirEa+OdYWSOULJQVeigxxTjxZYAteZ2NtacYVNNTp8F1V21ZeQuqH4+O5psVv5y/CjvF+R57L8gPoGfz19MqEzJAABaDCb+8NlBduV5rhm6al4mj35tw5CvO+FFzcm8Qp76eC+HSzwH99cvmMIty2eiVcvnYittbeHX+3ZztqlzLYdGqeT2GbO5YfKUHkkERuNGzm+v58PqU3xRn4/J3nvNm6tipnFR5GQC1L5b80YuW0qSRJOtyb3YsdRcToW5Ahvnn2UYD0kIxtPLZawRtpQPYUt5EHaUD1+1pWsxv+sdN5jF/OGqsM6JPF2ibGHZvmpLF5IkcdxVW6ahGHsvgnBqoLO2THga2mHUeemP/uyY39TIr/fvprjFMxnAj2fP4yqZkwEcLa3mqY/3UdfWpb6jn5a7L17I8sxEkf1sOFRWVmKz23n/0Fn+tfM4FlvnYqiM6FB+vn7pqCQRWBQTy4MLlhCp78xINpo3cqvVxJbaXD7sY4Ga3l3zZhrJ+t49S97MSNqy64LIUlPZkJMQOOKJEwhUeW/on6+/XLwJYUv5ELaUB2FH+fAFW1olK1WWamc2MocXpt46uMX8nZN0k0bs3eULtuwNg83C53V5fFB9mmJDzzGBRqFiTUQ6V8VMY8ooJGzqzY52SeKd/Fz+dsIzGcDk0FAeXrSMlOAQ2b7fYrPx710needAjsf4d05SDD+7bDERgXrvSelsNpv54IMP2LVrF3V1dQQGBjJ79mxuvPFGIiIiBnWtI0eOsHHjRgoKCrBarcTExLBq1So2bNiASsbFSeBZp6agppEnNu2ltKGLUlWrRiyJwG/376XO2KlUQ7U67l+wmBXxCcDY3Mh2SeJAcxkfVPVd82ZucDxXx0xjaViyz9S8GW1btrlnu8rcs14DTUIQqAwgRhNDrCaGWE0ssZoYotVRaJVj7ynz1ZeLNyJsKR/ClvIg7Cgf3mRLu2SnydZElaXa/a/aUk2dtR479vN+vnMxf6I7lCyq22L+kcSbbDkQygxN/K/mDJ/U5tJus/Q4HqMN5MqYaVwWNeW8tWXkpLsd640GHjvQMxnAVydn8b0ZI5cMwIVaqeTbF8zk2vmdkUpeIWrMZjO//e1vyc3NJSwsjKysLGpra8nPzyc4OJhHH32U2NiBrVH54IMPeO2111AoFEyePJng4GDy8vJobm5m9uzZ3H///bIKm+7FN40WKy9nH2XjsQKP85ZlJHD3xQsJ1ssXU9hsMvHkof1sr/CMKXQlEUh0/mHH6kY+Z2zmf9Vn2FKbS1uvNW8CuCJ6Guujvb/mzVg/FDuLjHUurBxIkTEXChSEq8MdQkftEDwxmhgi1OGjGr421nYcTwhbyoewpTwIO8rHWNmy3dZBtaWaKqtLwFRRbanBLPV8h/dF98X8k7QJY7oe1Bf6pU2ys6+pjA+rT3Gw+Vyv5ywISeCqmOksDk0ckwnhrnbcXXmOxw/uo8nUPRnAYhbGDF1UdKevZACJ4UHcv34pGTGekT9eIWrefPNN3n33XTIzM3nooYfw83Moz40bN/LKK68wdepUHnnkkfNeJz8/n1/84hcolUruv/9+Zs+eDUBHRwdPPvkkZ86c4eabb+bqq68ebpPddBc1Lvbkn+PZT/bTYux8EEQE6rnv0sXMTY6R7fslSeJ/RQX86dhhTN2SCPzx0g1kRUaN+Y1stFn5oj6fD6tPUdBrzRsl80MmsTwsmaVhyYR5ocDxxodiZxKCcrfYGWgSAhcahYZodZRb5MRpYonRxBAkwgC8HmFL+RC2lAdhR/kYaVtaJAs1llq318XlgWm19wwf7w81auK0cU4BM/TF/COJt/ZLq93OidZKdjWWsKuxmBpze49zAlQaLo7M5KqYaSQOobaMnERFRWG0Wnlk62e81y0ZwIq4BO5fMDrJANbPSuf21XPw0/RcbzXmosZqtXLbbbfR3t7Ok08+SWpqqsfx++67j5KSEp544gnS0tL6vdYLL7zA1q1bWbt2LbfffrvHsbKyMu69916Cg4N56aWXUCrlUbl9iRqA+jYDT2/Z55FEQAFcvyCLW1bMQCOjx6ikpYVH9vdMInDvkmVcEhuPZoQWjg0GSZI42VbNB1Wn+qx5owCmB8awPDyFZWHJTPKTLx5zOHjrQ7E7rbY2qi3VVFqq3C+qakvNgPL9dyVAGeAWOrHOfzHq6GGHsPmKHX0BYUv5ELaUB2FH+ZDLlnbJTqOtiSpLVY/QsYF6+l2EqcLc7wPX+yFSHYFKMfbji/7wpn5psFk40FzOroZi9jaV9hrFApCiD+PqmGmsi5yMXqUZ5Vb2TjUS93/xKXmNnZPTOpWKH8+ay1VpGSOeDCDIT8s9Fy9k2eS+6zQOV9QMOy1FTk4O7e3txMTE9BA0AIsXL6akpISDBw+eV9QUFhYCMH369B7HEhMTCQoKoqWlhdzcXKZOnTrcpp+XiEA9j123yiOJgAS8fTCHI6XV/Hz9EtmSCCQHB/PChRfx8qnjvH42BwCL3c4Tu3fysp+ea9IyuDItnXC/sfOCKBQKZgbFMjMolnpzB5tqzvBRt5o3EnCyrZqTbdW8WLqPZH0oy8NSWB6WTGZAVI8MbwJPglSBBKkCyfBLd++zS3bqrQ2ds3FWR0hBg7Wxz5dau72dAlMhBaZC9z4Fil5fahHqcK9/qQkEAsF4p83W7uF1qbJUU2MdXOgYgF6pd4cpd53c8vWSAmNFg6WDPY2l7Gos5nBzBZZeCmSCq7ZMClfHTmN20OjWlukLm2RnV0UF7+TncrjWsx5ORkgov14sfzKAV3ad5O1+kgGMJMMWNSUlJQC9ChrALWRc5/WHyRnbFxAQ0OvxwMBAWltbKSkpGRVRA6BUKLhuwRTmJEXzu017KGtwuHbzaxr50auf8pOLFrBuWoos36VVqfjhrLksionj0QN7qXcmEag3Gvj76RP8O+cUFyelcMfM2YTpxrZYVYTWn29Oms/N8XM51lrJ7sZidjWWUNvN/VpiaKLEcJTXKo4SofFndUQaV8dMJ95Pvoxy4x2lQkmUJpIoTSQz6BT8ZruZamuNx0uw2lJNm72nCxxAQnIUDbU1cNp4xr1fjZpoTTQJzuKhvVV0FggEAoF8tNna3Elkys3nqLRUDTr8WI2aKE2kR1KZWE0MQcogrxhQ+zJmu5Wt9QVsrsnldFt1nz4xjULFvJB4loelsDQ0iXCt/6i2sy8kSWJzSRH/d/oklR09xwQ3Tp7C7TNmy5oMoKalg9/8b2ePZADfWjGT6xb0LFsyEgxb1NTV1QH0meEsPDzc47z+CA4OprKyslcXo91up76+HoCamp7VV/vinnvu6bFPq9XyxBNPABAZGTmg60RFRfHG5FSe27SLd/adBMBktfH0ln1EhIVy8azJA27T+VgfFcWS9Aye27+HD3LOYHbWj7HY7WwqLmRPVSUPr1zNpenyfedwiIuJ4VLmIEkSZ5qr+LL6LFurzpLX6vl3rLd08G7VSd6vOsWFsZP5Wuoi5ocnjsrDV612dHWXG3u8kEBCj30tlhbOGSsoM5RzzlDBOeM5KgwVmKWeWVgArFipsFRQYangQPshAHRKHan+KaQGpJDmn0paQCohmpBxa8exQNhSPoQt5UHYUT662tJit1BqKKOwvYii9iIKO4qpM59/TNSVKG0kCfoEJvklkKCPJ0GfQIwuekJ42UezX9ab2niz+DBvlRymwdzR6zlBGj9WRWdwYWwmy6PS8PeyGn6Vba08tO0LdpaV9jg2PSqaexcvY3likqzf2dRu4JevfEJxbZN7X0pUKI999WKmJkTL+l39MWxRYzQ6ijLp+lhc5Eoa4DqvP6ZOnUpubi7Z2dlcfPHFHsd2796N2Wwe8LVGAr1Ww4PXrGb5lGQeeecLmjqMSBL88s3PCA/QsyC97zjBwRKu1/O7tRdz79IVvHbiKK+dPEGtU203GA3c+enHXJaez68uWEW43jtmBhQKBdNC45gWGscPp6yivL2RL6vz2FqVy5GGcnfBKTsSX1Sd5Yuqs0wNieUbqYu4JH6qV6wbGg8Ea4IJ1gQzNSjLvc8u2ak11VJurOCc4RznjOcoN1RQY+o9A5vJbiKnLZectlz3vnBNOOmBaaQFpBKrjSHWL5YI7ehmXxMIBAJvpt3aTpWpmhpLLcXtJRS0FVBmKMfWR8hSdwJVASToE5wCxiFeEvzi8VONbXTGeOdsSw3/KdzP5opTWHopRB7rF8ya2EwujM1kXniiV45XJEninZzTPLF7B23mzpBFlULBxWkZfHvufObFxmGzDawvDhSD2cJd/97kIWiuXTSdey9fgV47uuuJhp0owLW4/9prr+WrX/1qj+OVlZXceeedxMXF8cc//rHfazU0NHDPPffQ0dHBqlWruO666wgKCuLYsWO8/PLLGI1GbDYbF110Ebfddttwmu3RvqGYoLS+hXve+IJWZ3Y0f62GZ766hrSoUFnaBZ6L4yx2G+8X5PPiyWMeWdJCdTp+Onchqyclyva9I0GzxciX9QW8V32Sc8aWHscjNP5cFTONy6Onjkjedm9aaOhNmO1maqy1VFqqKHeGQlRZqge8AFWNmkhNBJHqSKKc/yI1jp9+SvES7g/RJ+VD2FIehB0Hhk2y0WhrotZSR521jlprrfv3vsJ/eyNIGeguXBmvjSdWE0uQMlCEjnVjpPqlXZLY11TKu1UnOdJS0eO4VqHioqjJXB6dxWT/SK/+u1R3tPP7QwfYV13psX9pbDz3zl1AbEDAiNjRZrfzmw93sbew037fWDaDry/tuTZ+IIx5ogC93rHox2TqvbCga7/LY9Mf4eHh/PSnP+XZZ58lOzub7Oxs97Hk5GQmT57M559/3ueam9EkKSKY31xzAfe/vQ2T1UaH2cIv3s3mDzevIyZY/vZplCpumDyFZXHx/O7gPo7VOTplk8nEQ3t3smZSEvfMXSBrOj45CdH4cXXsdK6Mmcb+pjLerTrB4S4PkXpLB/8sP8ir545wUdRkro2ZQYp/WD9XFMiBVqllkjaBSdoEFgbMBxxemnOWCne8d5m5nBZbTyEKjtA113qe7gQpgxxrgdSRRKmjiNREEq2OJEQVIrw7AoHA6zHYDdRa6qi1OsWLpZZaax311gZsDG62W42aBG28O21yonYSIaoQrx4oj1cMNguf1J4ds0lWOZEkiU3Fhfz52BHarZ0h5oEaDXfOnselyakj1sckSeJPnx/yEDTrZ6XztSXTRuT7BsKwRY1rTYprvUt3GhoaPM47HzNmzODPf/4zu3fvpqSkBKVSSUZGBkuXLuUvf/kL4MiE5g1Mi4/kwcuX8siHu7BLEg3tRh58J5vnblora5HOrkwKDOLPq9byTv5ZD6/N1vJSDtdWe73XRqlQsCQsiSVhSRR01PNe1Um+qCtwZxMxSzY21eSwqSaHhSGTuC52BgtCJokH/yiiU+pI06WSputM/tFsa6HMXEa9qoFSQxkVHRU02Zr7vU6rvZVWUyuFpiKP/S7vTpQ60uHh0US5vTwiO49AIBhNXCmTXYKl1lpHncXhfRmM16UrOoWOOH0s8X5xRNmjSNROIlYTMyHWv3gzNaY23q8+xeaanF5TMWcGRHJd7ExWhad6ZXhZd2o6Onjy0P5evTM/m7+QqBFemvCf3afYcqIzw+qyjAR+tHbemI7Xhi1qkpOTASgqKur1uCtNs+u8gRAQEMBFF13ksc9ms3H69GkUCsWoZT4bCEvSE/jJuvn84bODAJQ3tvKr93fwxFdW91pYSA6UCgU3TJ7C0liH1+Z4vafXZu2kJO72Yq+Ni3T/CO5LW8WtiYv4qPo0H1afocnamR76QHM5B5rLSfIL5bq4GVwUORmdcmRsKuifEFUwIfrpHu5rs91MnbXeEXphresSilGHpY+kBNC/dydYGUSUJqoznM3p6RHeHYFAMBxcXhfXM6rW6XkZitcFHCnyQ1WhHs8pl0c6SBlIdLRjcbQI5Rt7TrdW827VSbY3FLnX9rpQAMvDUrgudgYzg2J9YgK1P+/MT2bP47IR9M642Hgsn//uPeXenh4fyf3rl6CSqYbkUBn2CDErKwt/f3+qq6spKirqkdp53759AMybN29Y37Njxw6am5uZO3fugL0+o8Vls9JpaDfyym5HVrQzlfU8vnEPD1+1fET/wIlBQfxl9Vreyc/lxZPH3V6bL1xem3kLWZXgvV4bF2EaPd+cNJ+vxs9ma30h71adoLCjszhUqbGJ54p28o+yA1wePZWrYqYRqR37EMSJjlapJV4bR7zWM/7VLtlpsbVSZ62jxlrrnPV0/Gs+j3enxd5Ki6nVo74OgEahIUIdTpQ6ymMQESm8OwKBwEmn18XhaalzTrbUWusGnS7ZhU6hc3qUO9cNRmkiiVBHoFF4R1FFQU9skp0dDUW8U3WSM209M+b6KzVcFj3F50pM1HR08PvD+9lb5emdWRIbx8/nLxpx7wzArrxy/vrFYfd2Ungwv756BboRmsgfDMNugVqt5tJLL+W9997jn//8J7/4xS/c62c2btxISUkJWVlZZGRkuD+zZcsWtmzZwqJFi7j55ps9rldYWEhqqqfKPH78OP/617/QaDTccsstw23yiHDzkmnUtxvYdKwAgH2FFfzps4PcdfHCEVXMDq9NFktjE3j84F5O1DvSRDaaTPxiz07WJiZx9xzv99oAaJVqLo3K5JLIyRxtqeDdqpPsbSp1z6u0WE28VnGUtyqPszo8jeviZpAZIFKPehtKhZJQdQih6hAySPc45vDu1Lk9O7VW1+Cjvl/vjkWy9O3dUQV3JinoEs4WogoW3h2BYBxisBscXmJnyFid21NcPwyvS4jb09JVvIiaL75Fm9XEppocPqg+RY25Z/hgnC6Ia2Kmc2nUFAK8LBVzf7jqzvz52GHaLJ7emR/Pnsf6UfDOAJwsr+V3m/ZgdybYigzU89h1K0dsycVgkUVWXXvttZw4cYLc3FzuvPNOsrKyqKurIy8vj6CgIH7wgx94nN/S0kJFRQWNjY09rvXMM89gt9tJSkpCr9dTWVlJUVERWq2We++9l/j4eDmaLDsKhYIfrplHY7uR3fnnANhysojwQD23LJ854t/v8tq8m3/W02tTVsrhGt/x2oDDlnNDEpgbkkC5sZn3qk7ySe1ZjHYrAFbJzuf1+Xxen8/MoFiuj53B0rBkVGIA6/U4vDvxxGs972OHd6elS1hIZ1ah5j6SFLhosbXQYmvp4d1RoiRIFUSIKphgVbAjhE4V0mU7hCBVIGrF2M8uCQQCx8Ctw95Bs62FZud93Wxrdv50/N5sa8Es9VwPMRC0Cq3D2+vM2BitdoS6RmqE18XX6W2s0JWZQbFcFzuDZT44Vqg1dPD7QwfYU+WZoW1JbBw/m7eIaP/RKetRXNfMwx/swGKzAxCg0/DYdSuJHoHkWENFlre5Vqvl4Ycf5v3332fnzp0cOHCAgIAAVq1axY033jiocLGLLrqIAwcOkJeXh9FoJCwsjHXr1nHVVVcRExMjR3NHDJVSyf3rl/DAO9mcqnB4TF7be5qIQD2Xz844z6dl+H6F8rxem3vmLCDEB7w2Lib5hfCTlOV8e9ICNvcy+3KitYoTrVU+O/sicODw7oQSqg5lMp73islucq7d6VzA65id7d+7Y8fuHAT1H/IWqAx0Cp5ggp2ip6vwCVYFoVWKPiUQDAe7ZKfN3u4pUqzNXcSL46eVngPSweDyunSGjEUJr8s4RZIkjrZU8m7VCY+oDhcqhYILw9N9NqqjL+9MgFrDT+aMnncGoLa1g1+8m02bydEOjUrJI1evICUydFS+f6AMu06NrzPUOjX90WIwce+bWymtd8wwKxUKHrpiGcsnD64453ByitskO+/kObw25i6FpMJ0Op/y2nTHarezs/H8cbLXxEwnrkucrKi/IA/eZEeXd6emS/iJK47+fN6dwaJX6t2enk6vj6cIGmxdHm+ypa8jbCkPQ7WjTbLRYmvt5lVpocXpWWm2tdBqa8WOXba2Orwukd3Wu0R5jddF9En56G5Ls93G1voC3qs6QUGX9bcugtQ6rvDx9bd9eWcWxzjWzgzFOzPUPtlqNHPvG19Q4hzTKoCHrlzOikGOaQfCcOvUCFEzAqIGoKalg7tf/5y6Nkc2L41KyRPXr2bGpIHPFsjxUCxrbfXw2rhYl5jM3XPm+5TXpjv9ZTRRomB5WDLXOjOaiEw08uArL2qz3ewRvuI5yGqlxdY85HStfaFT6AhWBfUIcesa/uav9HfPrPmKLX0BYUt56M2OFsniuHes3e+lznuqzd4+4IK9A0Gj0PSYROgaQhqsCiZQGeDVXhfRJ+XDZcuzFaW9Zkp14cqUui5iMn4q3wwrliSJj0uK+FMv3pkfz57LhpS0Iff7ofRJk8XKg+9u5+S5zs/8aO18rpgzMtFHQtQMk5ESNeCIP7z3jS/c7rpAnYZnvrqWlMiQAX1erodiX16bcJ0fP523kJUJ8qvt0aTa1MYH1afYVJNDex+55789eRkXx0+lqb7nrI5g4IynF7VVsrpnl7sP0rrOLss5WFOjdg/OogOiCVYHg0lCr9SjV/rhp3D8dG3rlXqx5mcAjKd+OZLYJTsmyYTBbsBgNzp/GjBKRgx2Iwo/BW3WNqrba5xel1Y67B2ytsFP4ddD9Ieou3k9FX5eLVgGguiT8tGok/hv0QE2lp9017TryoKQBK6LncmCkEkofbjf1Bo6eOrQAXb34p352fyFxPgPz+s02D5ps9t57KPd7HKuEwdHUqyRXCcuRM0wGUlRA3CivJYH3tnmXlgVGajnuZvWER18fteh3A/F0tYWfndwXw+vzUWJydzl414b6FIluOok50w9w49CNHqWhiayKjyNecEJqMc4n7ovMtFe1DbJRputzUP0eIogx8BvKBmXBopGocFP4ecWOX5u0aNHr+gUQO79XYSRVqH1+cHhQJhI/dIqWTHYjRi7ChPJ8bNznxGDZMDYRbgY7EZMkklWkd6dAGVAt9DMoB7r1CZKCvaJ1CdHgnJjM9vri8huKCS/o2dxd61CxUWRk7k2djop/uFj0EL5kCSJLSVF/HEEvDNdGUyflCSJP39xyJ3RF+CSGancPcIZfYWoGSYjLWrAkdP70Y92u1PgJUUE8+xX1xLk1//i45F4KNokO2/nneWlceq1AbBLEnubSnmv6iRHWip6PSdIpWN5eDIrw1OZF5zgE9WDvQHxou6JXbJ3ydjUU/C49vWX1GCkUKJ0ih0/9Ipugkjp5xZFXff7Oc/VK/18JiW2L/VLSZIwS2aHMJG6eky6e04MTvHSRZhIxjHpRwoUBCkDHQJFHdzr+rIgVZBXrGXxFnypT3oLZYYmtjc4hExva2UAIjT+XBUzjcujpxKiGdw6Rm+kL+/MophYfj5/0bC9M10ZTJ98be8p/r3rZGd70uL49VUrRqW45nCyHE94UfPm/3ZzwYKUEf+ejcfy+fPnh9zb0xMi+d11q/otVjSSD8Xx7rVxUdBez7tVJ/myocBDxHUlUKVlWZhD4MwPmYRWCJw+ES/qoSFJEkbJ6BA41hZa7C1YdFZara00tjf2MrNuHFHvz0DRKXT4Kf1QoUKtUKFUKFGhRqVQokKFSuH8h8qxz/27CqXrOMpu53X7TJd9rs+ocX5X18+4z+v53THRMdglO9W11dgkGzZs2CQ7NsmGHRtWyebxux3Hsc5zPT/TdZ9d6vYZ1zGP8zyvZ5fszs849lmd13GJGTkXzA8Vl/evq6AN04cSoA5AbVJ7pEAPVAWiUojn4mAQz8qBUWJodAiZ+iKKDH2Hh08NieWqiCxWR6SNi0nI0fLOdGWgffLj4wX84bOD7u2suHCe/MqF+I1wcc2WViNP/2Mnf//9N4d8jQkvai775p944I7VZKQMPO30UPn3rhO8tve0e3tZRgIPXbGsT+U70g/F/rw2981fyAXxvu+1caEPDSa7Jp+NxUfZ31Tea1wuQIBKy7KwJFaGp7EgJAGtUqxn6Ip4UctHf7aUJAmLZOkSVuQZRmSQes7id53dH2odD19FgWJEw6q8ESXKftdi6ZV6j7DFrvt1Cl2vXjhxf8uHsGXfFHc0OD0yRRQbetYrdJGqD2dleCrXZMwnLShy3NiyzpnZbDS8M10ZSJ/cW1DBIx/udEcWTQoL4tmvriXEf2Qnuq02O4/9dSsFpY18/tqdQ77OhB+xWawST/9jB0/cdymhwfoR/a5vLptBQ5uBLSeLANidf46/bj3Mj9fOH5O4d5VCyVczs1gWF8/jB/ZxssHhtWkwGXlg9w4uTnJ4bYK1vu+1CdTo2JAwnUXaaDpsZvY2lbG9vpB9TWWYuwicdpuZz+ry+awuH3+lhqVOD86i0ElC4AhGDYVCgVahRYuWEFXw+T/QDZtkc4czdYodT0+QoY/9RsnocwLB19rrQqPQ9LI2Su8OF+wMDewiTJz7NQrNhFgvJfB9JEmi2NBIdkMR2fWFlBqb+jw33d8hZFaFp5GoDwUgKmjkJ51HA0mS2FJazB+PHvLwzvir1fx49jwuHwHvzGA4U1HH4xs7l0qEB/jx2HWrRlzQAPzn/cOcyqvBTze8EFYxSgMamgw884+dPPzjNajVI+fWVCgU/OSiBTR2mNhX6FDom44VEBmo5+Yl00fse89HUlAwf71wLW/l5fLyyRNur82npSUcrK4ed14bf5WWNRHprIlIx2CzsK+plOyGIvY1lWLq4rHqsFv4oj6fL+rz0Ss1LA1LYlV4KgtDE9EJgSPwYlQKFYGqAAJVg5/xs0t2Z5hUp8hxhVPZsDp+d4ZTeYZeWTt/7yMsyyY5w7lcv/cZBuYMBesW6jVU8XK+ELb+w96UqBRqz1A6j/A3x3ElSmeInqrPcD2HiOlcxyQy2wnGK5IkUWhocC/2LzP2XQQ5wz+CleGprAxPdQuZ8UadoYPfHz7A7sqe3pmfzV9E7Ah5ZwZKaX0Lv3x/ByarYwzkr9Xw6LUriQ0Z+XZt21vIx9lnZbmWeKI6yS2s5V/vHuK2GxeN6PeolEoevHwp97+9jTOVjowe/951kjB/Py6blT6i391vuxRKbsqcyvK4hF69NpckpXDnnHnjwmvTFb1Kw+qIdFY7Bc7+pjK2NxSxt6kUo72zsrXBbmFrfQFb6wvwU6pZEprEqog0FoUk+mw+fIGgN5QKJX4Kx1qLsLFuTDfsTqHTfc1KcHgIKpQ0NTb3WKujRCk8GgLBKCBJEgUdDWQ3FJLdUMg5Y99FkDMDIt1CJsFvYGUufBFJkviktJg/eKl3BqC+zcBD72XTanSELWtUSh6+ajnp0SP/BsgvruPlN/e7t1MmhQ7rehN+NHbBohQ+25EHwGc780mdFM665SNTVMiFn0bNI1dfwD1vfEF5YysAf/r8EGEBfixJTxjR7z4ffXltPikt5mBNFffNW8iKceS16YpepWFVRBqrItIw2qzsb3YInD2NJR4Cx2i3sq2hkG0Nhfgp1Sx2poleFJqIXiWy/wgEI4VSoUSJEhTQdXolSueIFZdUvhmGJhD4KpIkkddRz/b6QrY3FPVaTsHFlIAot5CJ9xt8WK2v0Zd3ZmF0LD9fMPbeGYB2k5lfvJdNdUtnPaqfXrqYOUkxI/7dTS0Gnv7HDixWR+KU4EAdd96yfFjXnPCi5lvXzqeotIH8EofX5B9vH2RSXAhZaVEj+r0h/joeu24Vd7/+OQ3tRuySxOMb9/DEV1YzLX5s40e7em0eO7CXUw0O29Qbjdw/jr02XfFTqd0PX5PdygGnB2d3YykGe+dsi9FudcQJNxShU6pYFJLEqohUloQmCYEjEAgEgnGHJEmcba8ju8EhZCpNrX2eOzUgmpURjndprC5oFFs5dvTnnfnRrLlckZo+5t4ZALPVxq8/3EVRbWdo4B0XzmV1VtKIf7fVauOZv++gockAgEqp4J7vrCAyfHhCb8JnP6usrKS+sZ37n9pCU4sRgJAgP5782aWEh56/QOZwKahp5KdvfkmH2dHxg/y0PPvVtSRFBHtF9hSbZOfNs7n8/dRxzPbONKQRfn7cN28RK+LH1rM0UOSypdlu5UBTucOD01RCu633mhFahYpFoYmsCk9lSVgS/qr+axL5Ct7QJ8cLwpbyIWwpD8KO8jHebClJErnttWQ3FLG9oZAqU1uf504LjHZOCqYRowsc9nf7ki3rDAaeOnyAXZXnPPZ7g3emqx1dE+k7zpa5j39lYRa3rpw9Km156Y39fL4r3739na8s4NKVmaL45nBxFd/MLazl13/6ApvNMXDPSI7g13euQ6sZ+XzoR0ureei97Vic3x0d5M8fbl5HVqpDLXvDjVzS0sLjBzu9Ni4cXpv5BGu9e9A+Eg9Fs93GweZypwenhHZb72l0NQoVC0MnsSo8jaWhSQSovdtW/eFLLxdvR9hSPoQt5UHYUT7Ggy0lSeJMW41TyBRRY+5byMwIjGFleCoXhKcSLYOQ6Yov2FKSJD4tLeYPRw/TaukcC+id3pkrvcA747JjTU0NL3x5hA+O5LmPrZ2WzE8vXYxyFNr42c48Xn7zgHv7wiVp3HHzYhQKhRA1w8UlagA+35XPS290LlhavTiN739t8ah0xOzcUn63cY87t09qVAj/98MbCPLTec2N3LfXRs/3ZsziosRktCrvLIo10g9Fs93GkZZzZNcXsauxmLb+BE7IJFaGp7I0LJlAHxM4vvBy8RWELeVD2FIehB3lw1dtaXcLmUJ2NBRRY27v9TwFMCMollXhqawITyVKO3IeCG+35dnGBv5++kSPtTMLomO4f/5iYgPGfu0MdNrxr5u2848dx93756fE8purL0Ct6r1mopzkFNbySBcHwuSUCB7+SacDQYiaYdJV1AC8/OZ+PtvZ6RL79vXzuWzVlFFpy4eHz/L8l0fc2wvSEvjLd66kubHvKrtjQUlLC48d3Mvpbl6bSD89X5mcyVVpGQRqvGuwPpoPRYvdxpGWCrIbCtnVWEKr1dTreRqFkvlOgbM8LJlAtfevUfL2l4svIWwpH8KW8iDsKB++ZEu7JHGqrZrs+kJ2NBRTZ+lbyMwKimNleCorwlOIHEEh0xVvtKUkSRyoruK1s2c4WFPtccybvDNdiYqKYuOhHH719ufufZkxYfz+hgvRa0d+DXB9Ywf3P7WF5lbHUo/QYD+e+NmlhId0LvUQomaYdBc1VquN3/x5KzmFjptHqVTwyx+tYfrkkc8EAfCP7cd460COe/uimRncvW4uKuXIK+jB0JfXBhyL4a5ITeeGyVNGrDLuYBmrh6LVbueoU+DsbCympQ+Bo1YomR+SwPKwFOYFxxPnpZlhvPHl4qsIW8qHsKU8CDvKh7fb0mCzcLK1ir1NpexoKKbe0tHreUoUzAqOZVV4GivCUgjXjvxa4+54ky2tdjtflJXw+tkc8pubehz3Nu9MV842dHD3vzdhdY7Z4kID+cNNawn19xvx7zZbbDz8h88oKHVM0qtUSh65cy2ZqZ5JuYSoGSbdRQ040szd/9QWd1aGoEAdT9x3KVHDzMowECRJ4ukt+/n8dLF73/SESO69ZBEJYd6XOaS8rZX/5p5hS0kRlm7iRqVQsC4xmZsys8gIHduKF97wULTa7RxrrXQInIZimq3GPs+N0QYyOziOOcHxzAmOI8ZLssZ4gx3HC8KW8iFsKQ/CjvLhbbY02CycaqvmWEslR1sqyG2vxdbH8E+JgjnBcawMT2N5eDLhmtEXMl3xBlt2WCz8r6iAt/JyqTH0FIBZYeHcPGUqFyYkepV3BsBis/HmvjO8vu+MW9CE+ut47qZ1xIfKu/6pNyRJ4vlX95K9v8i97/abFrF2Wc/yKULUDJPeRA1Afkk9D//hM3f+7JRJYfz27ovQaUc+C7bVZudXH+zgUHGVe59OreJbK2Zy1dzJXue1Aag3Gngn/ywfFOR7LJJzsSgmlpsyp7IgOmZMbnhveCh2xSbZOd5SSXZDETsaimmyGvo9P1YXyJzgeGYHOYSO3AsxB4q32dGXEbaUD2FLeRB2lI+xtqXRZuV0WzVHWyo41lJJTnstVsne5/lKFMwNjmdVRBrLw5IJ1ehHsbX9M5a2rDN08Hb+WT4szPdIz+xiaWw8N2VmMTcq2uvEDDgy7D69ZT+FtU3ufX4aNU/feCGTY8JHpQ2bt+Xyf+8ecm9fvGIyt964sNdzhagZJn2JGoDsfYX89dW97u3l85P5yS3LRqXjGi1Wns8+zifH8jz2T4+P5J5LFjEp3Dtm7rvTYbWwsaiQt/JyqeroGZc7OTSUmzKnsmZSEupRFGdj/YLpD5tk50RrFdsbijjSXEGpsem8n4nTBXV6coLiiBolkePNdvQ1hC3lQ9hSHoQd5WO0bWmyWzndWs3RVocnJqetfxEDEKDSMisolqVhyawISyFEM/JhSENhLPplYXMzb5w9w6elJT3sqFYouTgpma9mTiUtJGTU2jQYLDYbb+w7w+v7TmOzd45xY0ODuO+ShcyYNLK1GF2cPFvNo3/dit3Zhqy0KH714zWo1b0nlRKiZpj0J2oA/u/dQ2zeluve/sbVc7li7dTRaBpRUVF8cbKAx97bSlNH51oMrVrFj9bO45IZaaPSjqFgtdvZdq6M13LPcLapscfxWP8AfjBrzqi5an3pZV1v7uCY88V0rKWScmPzeT8zyS+EZWHJLA1NYnpQDCrFyAhGX7KjtyNsKR/ClvIg7Cgfo2HLGlMbuxtL2NNUwrGWSiznETH+Sg0zg2PdYc3p/hEj9q6Qk9Hsl5Xtbfzl+BGyz5X3OBag1nBVWgZfmZxJlH5sQ/L6o6alnV9/sJOCLt4ZgOsWT+fOy5ZjaD3/mEIO6hra+fnvt9Da7hi/RoT687v7LiE0uG8voBA1w+R8osZms/PY819y8qwju4VKpeTJn11KUnzoiLfNdSPnl5Tz/JeH2ZZT6nH8G0un87Wl073S5elCkiQO11bzWm4O+6orexxfEB3DPXMXkBQ0sgvjffllXWtu53hLp8g5Z2rp9/xgtY4loUksC0tmQcgk9Cr5spr4sh29DWFL+RC2lAdhR/kYCVtKkkReRz17GkvY3VhCfkd9v+e7RMzsoDhmB8czOcA3REx3RqNfmm02Xj+bwys5pzDZbB7HovX+fGVyJlemZhCgGfksYcOhoKaRh97bTkN755rdmGB/7rp4IZcsmAmMzv0tSRKPPf8lx3Mcyyg0aiW/ufsi0pMi+v2cEDXD5HyiBqClzcjPn9xCfZNjcVh6UjiP3nMxqhHO6d39Rt6VV86fPj/o4bW5dGYaP1k33yvX2XSnoLmJ18+e4bPSEo8FimqFkpsys/jm1Ono1SOzZmk8vaxrTG0enpxKU2uf52oUSuYGJ7AsLIklYcnDriUwnuw41ghbyoewpTwIO8qHXLY0220ca6lgd2Mpe5pKqO2jbgyAn1LNzKBYZgfHMTc4nskBkT4pYroz0v1yX1Ulzx09RHmb57s0PSSEmzKnsi4xeVTD5YfK4ZIqfvu/XXSYre59G2anc+vK2fhrNaN6f2/dU8ALr+1zb3//a4u5cEn6eT8nRM0wGYioATh86hxPvJDt3v76VXO4ct20kWxarx2wuqWdX7ybTVlD5823KDWOBy9fOip5xuWgrLWV544eZH91lcf+aL0/d86Zx8r4SbJ7n8bzy7rK1MrexlJ2N5ZwrLWy3zjqKQGRLA1LZlloMmn+4YO283i242gjbCkfwpbyIOwoH8OxZYvVyL6mMnY3lnCgqRyDvecCdRcJumBH6HFYMtMDY3xi8D1YRqpfVnW085djR9h2rsxjf7jOjx/MmsMlSSleHQnTlS9OF/PMJ/vd62eUCgU/WTefy2Z1ConRur8bmjq4+7FNGIyOfjtvRjw//96qAdlSiJphMlBRA/CX/+xhuzMlnUat5Kn71xMfM3JhU311wBaDiV9/uJNT5+rc+zJjwvjttStHJd+4HEiSxPaKcv507DDVHZ7pERfFxHL3nAUkBsmXDGGivKzbrGYONjtehvuaymiz9cxE5yJGG+h+Gc4KikWj7H3hXlcmih1HA2FL+RC2lAdhR/kYrC0rjC3saixmT2MpJ1qrsNP7uEQBTAuMYWmYI8Q4yS/UZwbeQ0Xufmmx23jjbC7/PnMSY5dQMyUKrs2YzHenzSRI610FxPtCkiTe2p/DP3ced+/TqVU8dMUyFqXFe5w7Gve3JEk8+VI2h09WAOCv1/DsgxsIDx3YGiQhaobJYERNW7uJex7fRFOLI1ZxSloUj9y5FuUIzYz01wHNVhtPbt7LzrzOxWxxIQE8dt0qr6xn0xcGq5VXck7xem6Oh4dBo1Ryc+ZUvpE1DT8ZQtIm4svaandkVdvT5Ii/7i9MLUClZVFoIstCk1gUmkigWtfreRPRjiOFsKV8CFvKg7CjfJzPlnZJ4kxbjWN9TFMJJYamPq+lU6qYHzKJZaHJLAlLIsyL0i2PBnL2ywPVVTx39CClrZ7vw5kRkdwzdwGTx7im3mCw2e38besRPjqW794Xotfx22svYEpsz7Uro3F/bz9QxF9e2ePevuPmxaxZev6wMxdC1AyTwYgagP3Hynj67zvc29+6bj7rV08ZiaadtwPa7HZe2naUD450pn0O0ev4zTUXkBXX/2Isb6O0tYXnjhziQI1nSFqsfwB3zpnHiriEYc1GTfSXtSRJFBsa2e1cYJrT3rcdVAoFs4PiWOrMphbn1+mNnOh2lBNhS/kQtpQHYUf56M2WRpuVwy3nHBnLGkv7rU8WptGz1JnwZV5IAjrlyNfI81bk6Jc1HR385fgRtpZ7JlwK1en44cw5XJKcitKHPF4mi5UnNu9ld/4597740EAeu25VnwU1R/r+bmoxcPdjm2jvcESIzMqK5Rc/uHBQYzchaobJYEUNwB/+tZPdhx03hk6r4ukHNhATKX+dkIF0QEmSeOdgLn/ffsy9T6dW8eDlS1mSniB7m0YSSZLYdq6MPx870qNi79LYeO6aM4+EwKF5ocTL2pN6cwd7mxzrcA43n8Ms2fo8N1UfzrKwJJaFpbA8ZSpKhULYUQZEn5QPYUt5EHaUD5ctcytK2NtYyp7GUg61lGOy9/2sTdGHsSwsmWVhyUwJiPKpQfZIMpx+abHbeDvvLP86fRKDrXMBvRIFV6dncOv0WQT7SKiZixaDiV+9v4MzlZ3Z76bEhvObay7odwnCSN/fz/xjB/uOOtYn+enUPPPgBqLCB5ecSIiaYTIUUdPSauTuxzfR2ubIQjZ9cgy//NEalMqxW9y+9UwJz2zZj9XuCOFSKhT8aO08NszOkLVNo0GH1cK/z5zijbM5HlnStEolX5syja9nTUWnGtyslXhZ943BZuFQ8zn2NDlevk1WY5/nRukCWRmTQaYmjGmB0cTpgsZ9PPdIIfqkfAhbyoOw4/DpsJnJaaul2N7GjpoCTjSd62N1jGNgPTMoluXOtY3xfiNb2sBXGWq/PFxTzbNHDlLc6lkGYXp4BPfMXcCUsHDZ2jhaVDW38Yt3t1Pe2Bk+tzgtngcvX4qfpv9x0Uje33uOlPLcP3e6t2+9YSEXXzB50NcRomaYDEXUAOw+VMIf/m+Xe/u2Gxdy0YrB/wH7Y7Ad8GhpNY98uIsOc2emlJsWT+OW5TN8cuBZ3NLMc0cOcai22mN/XEAAd82ez/L4gXuixMt6YNgkO2faatzhEaXGpn7PD1XrmRYUzbTAaKYHxpAZEIXfIAXnREX0SfkQtpQHYcfBIUkS5cZmTrXVcLqtmjNtNRR3NPa5yB8ctWMWhSayNCyZRaGTCFb7RnKfsWSw/bLO0MFfjh/l87ISj/2hWh13zJzN+pQ0n/SC5VU38Mv3dtDY0TnxuH5WOj9aO29AZT1G6v5uaTNyz2ObaHFO9E/LiOZXP147pIl+IWqGyVBFjSRJPP33HRw47lior/dT88wDG4gcpKutP4bSAYtqm3jove3UtXXG6l40PYW7LlqIeoTr6owEkiSxtbyUPx87Qp3RM/54eVwCd86ZR3zA+UP/xMt6aJQZmtjjDFM71Vrd78saHDOP6f4RTqETI7w5/SD6pHwIW8qDsGP/tFvN5LTXcqatmtNtNZxuq6HVajrv56K1Ae5U+rOC49AOINOkoJOB9kur3c47+Wf5x+kTGKydoWYK4Kq0DL43YxbB2t6T4Hg7B4oqefSj3Rgtnf+vW5bP5KbFUwf8fh2p+/tP/97FzoMOAanVqHj6gfXERg1tqYAQNcNkqKIGoLHZwD2Pdy6Kmj01jge/v1q2AdxQO2BNSwcPvZdNSX2ny3V+ciwPXbkMfx+pZdOdDouFf505yVt5ud1C0lR8I2saN0+Zik7V94tCvKyHT7PFyClbI/vqijlSV8o5U8v5P4TTmxMY7RY6mQGR6FW+2Q/lRPRJ+RC2lAdhx066e2FOt9ZQbGg4z7SOgwCVhtnhk5gTNolZ2kgy/CPExM4wGEi/PFJbw7NHDlLU0uyxf2pYOPfOXUBWuG8lT+rKpyeLeO7TA9idYx+VUsFdFy3k4hmpg7rOSNzfB0+U8/uXtru3b7l2HhsuzBry9YSoGSbDETUA2fsK+eure93bP/jaElYvSZOjacPqgG1GM498uJPj5Z2fzYgO5TfXrCQi0HfTQRY2N/PskYMcravx2J8QEMhdc+azNC6+18+Jl7U8dLVjs8XoeNk7X/o5bbUY7dbzXMHTmzPVGbY2Eb05ok/Kh7ClPExkO7q8MC4Bc6athlbb+b0wAMn6UKYGOiZtpgdGk6QPIyY6GpiYtpSb/vplncHA8yeO8GmpZ6hZsFbLHTNmc3lquk+GmoFDWL+29zSv7D7p3qfXqHnoymUsSBn8wF/u+7utw8y9j22iscURRZOZGslv7lo3rDInQtQMk+GKGkmSeOKFbRw5XQlAgF7DM7/YQHjIwAoN9cdwO6DZauOpj/ex/WxntdyYYH8evXYVSRG+uyBRkiQ+Kyvhr8ePUG/0XNR+QfwkfjJ7LnHdQtIm8staTvqzo02yU9TRyJm2avfs5jmj8Ob0heiT8iFsKQ8TxY52pxfGPSkzKC+MlqmBUe7w2qmB0b3W9ZoothwNerOl1W7nvYI8/nHqBO3WznXECuDy1HRunzGbUJ1vhpqBo2THnz8/xMcnCt37wvz9+O21FzA5ZmgJDuTuk8//dy/b9jrap1Er+f3PLyMhNmRY1xSiZpgMV9QA1Dd2cM/jmzAYHTfWgpkJ3HfbymHPPMvRAe2SxMvZR3nv0Fn3viA/LY9cvYLpCVHDat9Y026x8M/TJ3gn/6xHSJpOpeKbWdO5KTMLrTMkTbxg5GGwdnR5c844489z2mox2C3n/ZwSBWn+4Y6BQ9D49OaIPikfwpbyMF7tOFwvjEvATAuMIUkfOqCZ//Fqy7Gguy2P1dXy7JEDFDR7hppNCQvnnjnzmR4ROeptlBOjxcrjG/ewr7DCvW9SWBCPXbeS2JChlw+Rs08ePV3B43/b5t6++co5XH3RtGFfV4iaYSKHqAH4fFc+L72x3739k1uWsWJByrCuKWcHfO9QLi9tO+qeidKqVdy/fgnLJ08a9rXHmvymRp49cojj9Z52mhQYxN1z5rM4Nk68YGRiuHa0SXaKOxo5PSRvjh/TAmMcYR5B0UwJiPJpb47ok/IhbCkP48GOHl6YVsczptjQOGAvjEO8OARMVmBUr16YgTAebOktuGv+lJXy/ImjbCkp9jgepNFy+4xZXJGWjkrhewmRutLUYeRX7+8gt6rBvW9afASPXH0BwfrheZ7k6pMdBgv3/m4T9Y2OeoJpieE8du/FqGRIRiVEzTCRS9RIksSjf9nKibOO9MNBATqe/cUGQoKGnq5R7ofi9twyfv/xXiw2Ry0bBfD9NfO4aq68qajHAkmS+KS0mL8eP0KjyXMGbnVCIg9fuI74oCDxghkmI/GibrYYnZ6c6mF5c6YFRhOvC/YZb44Y9MiHsKU8+KId261mzrTXuAVMTlvtgLwwCiBZH+YOIRuMF2Yg+KItvZWwiAjeOHWC5/btps3i+W7YkJLGHTNnE6bz/dTY5xpb+cV726lsanPvW5aRwP3rl6A7Tw2agSBXn3z5zf18tjMfAJVKyZM/u5Sk+NDhNg8QombYyCVqAGrq2rj3d5sxmR2LpZfMTeKe76wY8vVG4qF4oryGX3+wkzZT54PhhoVZfPuCWT67mK4rrWYz/zh9gvfy8zzSD+vVam6dM5+L4+LHxcNvrBiNF7VNslNsaHQPUk631VBubD7/B3F4c1wDlPSACJL8QojWBXrl7J0Y9MiHsKU8eLsdW60mygxNFBsayWmrHZQXJlCldT4bXF6YaALVI1dJ3ttt6QvYJDt7Kiv599nTnKmr8zg2OTSUe+cuZIaPh5q5yKms51fv76DZ0CnIr5iTwfcvnDugGjQDQY4+eTK3it/8Zat7+4b1M7n+spnDbpsLIWqGiZyiBmBLdi7/fOeQe/ue765gyZykIV1rpB6KxXXNPPTedmpbO9z71kxN5p5LFqLpJy2yL5HX1MizRw5yot7zQahVKlmXlMxXMqYwOTRsjFrnu4zVi9rlzTnjLnI3MG8OgEahYpJfCEn6EBL9QknUh5LoF0KiPgR/1cgNas6HGPTIh7ClPHiDHW2SnWpTG6WGJkqNTZQbmik1NlFmaKbJajj/BfD0wrg8uYl+8nlhBoI32NJXabOY2VxcyDv5eVS0t3kcC9RouG36LK5Oz/DKyaqhsLeggsc37sZktbn3feeCWdywMEvWyIPh9kmjycpPf7eJmvp2AJLjQ/ndfZegVss3bhyuqBGlv2Xm4gsy2XOklDMFjk7zj7cOMn1yDEEB3pOFIyUyhD/ctJaH3t9OUa1jBnzrmRIa2o386splBOjGbqAnF5NDw/jr6nVsKSni+RNHaXKGpJntdjYXF7G5uIg5kVF8ZfIUlscloJZpJkQwMoRo/FgSlsSSMMcEQXdvzpm2Gsr68OZYJBtFhgaKDA09jkVo/EnShzrFTghJzp9R2sBx4bkUCLyVNquZcqdYcYiWJsqMzZwzNmOR7IO6VqcXxiFgsgJG1gsjGBlKW1t4N/8sm0uKPIpnulifnModM2cT7ue7ZSm6s/l4AX/+/JC7Bo1aqeTeSxeyZmrK2DasF97YeMwtaJRKBd//+hJZBY0cCE+NzJ4agMqaFn76xMdYLA7VvXJhCj/65rJBX2ekZ3raTWZ+87/dHC2tdu9LjQrh0WtWEhk0/JTU3kKL2czHleW8ceoEtR0dPY7H+PtzXXoml6emE6wVL8L+8ObZx2aLkRxnbH1Oew2lhiZqzO1DupZO6fDuJPqFOkVPCIn6UCb5hciWnMCbbelrCFvKg9x2tEl2akxtlBmbKXN6XsoMzZQZm2iwDMzr0h1/pYZEfQgZ/pHuWlej7YUZCKJPDgy7JHGguoq383PZW1XZ47gSBRelpfGd2fNIUI2feXhJkvjP7lP8d+8p9z5/rZpfXbmCuckxI/Kdw+mTOYW1PPyHz3ANl6+5eDo3XTFbzuYBIvxs2IyEqAH46Isz/OeDI+7t+29fxbwZCYO6xmg8FC02G89+coCtZzoLV0UF+fPotStJiRxevnFvIioqCrPNxltHDvF2/llyGnvO2vupVFySnMr1GZmkBo+f/7uc+NqL2mCzUG5s7hxUGZqc202Y7LbzX6AXorUBTPIL9QhnS/ILIVIbMKhQAV+zpTcjbCkPQ7Vjh81MubGZUkOz0+PSRKnB4XUxS4O/zxRAjC7QM1zUOcEQrtH7RDIQ0Sf7p8NqYUtJMe/mn6WktWcGzCCNlitS07k2fTIzU1KA8WNLq83OHz87yKenitz7IgL1/PaaC0iPHrmw+KH2SbPZyn1PfkxlTSsACbHBPPmzy9Bq5PfSiPAzL2XDhVPYe7SUvOJ6AF58Yz/PPriBAH/v8gRoVCruu2wxkYF63jqQA0Btawf3vvEFv756BTMnRY9xC+VD6xQtFyelcKqhnrfzctl2rsxd48Zos/FhYT4fFuazMDqW6zMyWRoX73UzgIKBo1dpmBwQyeQAz8Wkdkmi1tzuMQArc84i11n69+7UmNupMbdzuOWcx34/pdodxpbYRfRM0oegU4pHrcC36XrPdPW4DOSe6QvXPZOkD/GYKEjwC8FvHM3KCzqpaG/j3fyzbCou7JHJDCAlOJjrM6ZwSVIKevX46wMGs4VHP9rNweIq976k8GAeu24l0cEBY9iyvnnr4xNuQaNQKPj+zUtGRNDIwfjrMV6CUqnk+zcv4We//xir1U5js4H/fHCEO25ePNZN64FSoeC7K2cTFeTP81sPIwFtJgsPvJPNzy5bwsopiWPdRFlRKBTMiIhkRkQkNR0dvF+Yx/8K82k2m93nHKip4kBNFQkBgVyXkcmGlDQCNL5bE0XgiVKhIEYXSIwukAV41mrymHV2xvqXGpopNzZj6WfW2Wi3ktdRR16HZ3IKBRCtDXSEsXWZdZ4T5EeUbuiF1ASCkaDDaiavvc69xkUu72ZXwT9U76bAN5EkiSO1Nbydn8vOinM9stUpgGVxCVyfkcmC6Jhx2yca24388v3t5FU3uvfNSIji11evIMjPuya8XeSX1PPRFznu7Q0XTiEz1XszzonwsxEKP3Px3ieneGPjMff2Qz+8kFlZA3OtjYX7eldeOU9s3ovZmYVDAXxv9RyunT9l1NowEpzPliablc9KS3g7/ywFzU09jvur1axPSeO69EwSg4JGsqlezUQOqRiJ9QE6pZowjR9han/CtHrCNXrCNP7On3rCNf6EOX/35UKjI81E7pcDwSbZabIYabB00Ggx0GAx0Oj83bHt+L3JaqJ5yH1Z5fBM+oWM2Do0X0L0Scd79dPSEt7Jz6WguWciF3+1mg0paVyXkcmkwL7fq+PBlmUNLTz03naqmju9mhdkJvKzyxajHaXF9oO1o8Vi4/6ntlBW6fjbxUYF8tT969FpR84f4jVrasxmMx988AG7du2irq6OwMBAZs+ezY033khERMSgrnX06FE2b95MQUEBHR0dBAQEkJGRwYYNG5g5U7582DDyosZqs/OLpz+hqNyhzKPCA3j6gfXo/c7/kB+rG/nUuToe/mAHrcZOz8W18zO5bdUcnw3FGqgtJUniaF0tb+c5ZpTs3eaUFMDS2Hiuz8hkYUzsuJ1R6ovx8HIZCeTM5NQXfkq1W+S4RE+YUwR13Reu9Z9w4W4TsV/aJDvNVqNDmJg9xUmDU6y4hEuz1TigWi4DQWQMHBgTsU+6qOno4P2CPP5X5BkB4WJSYCDXZ0zhsuTUAUVA+LotT1fU8fD7O2jpMqa6Zl4m31s9umOqwdrxzU3HeXfLSff2r+9cx7SMkV2S4BWixmw289vf/pbc3FzCwsLIysqitraW/Px8goODefTRR4mNjR3QtTZu3Mgrr7yCQqFgypQphIeHU11dTUFBAQC33norF1988XCb7GakRQ1AcXkjDzy1BZvd8T2XXDCZ796w8LyfG8sbubTeMatQ3dI5q7AyM5H7RnFWQU6GYsvK9jbeK8jjo6KC3mN/g4K5PiOTS5JTx2Xsb2/4+stltJGj5sZQ8FdqnJ6f7iLIv4cHSKv0vfu5O+OlX9oliVarqYdHpbtIabAYaLYYe0y6yIWrtlOnaHF4Xib5hRAgUiUPiPHSJweKJEmcrK/j7fyzZHdZq9qVRTGxfCVjCotj4wY1mPdlW+7OK+d3XaJfAL63ag7XLRj96JfB2LH7uPXSlZl85ysLRrR94CWi5s033+Tdd98lMzOThx56CD8/R8V2l0CZOnUqjzzyyHmv09LSwh133AHAr371K7KystzH9u7dy3PPPYdWq+Xll192f8dwGQ1RA/DWpuO801Xx/mQt0yb3n7ZvrG/khnYDv3xvO/k1Te59syZF8aurvDf+sy+GY0uD1cqWkiLe6SNLS6BG487SEhcwvtdIjHWfHE/oQgKpMrZSUHPOMdNuNdBg7jnTLucse28EqrQeIqe76AnV6NEpVWiVKrQKFVql2vG7UuU1xe+8qV/aJQmLZMNsd/2zYpHsmO02Wq0mGq0GGrv9nTvDvwy9DgblondvX+d2anQ8UbpAlG1Gr/nb+ire1CdHErPNxtbyUt7OP0tuH1lFL3VmFU0ZYlZRX7XlR0fzeX7rYXcNGo1KyU8vXczqrKEVZB8uA7Wj1Wbnwac/obhLhNEzD67HTzfyYaRjnv3MarWyZcsWAL773e96iI3LL7+c7Oxszpw5Q2FhIWlpaf1eKy8vD6vVypw5czwEDcCSJUtISkqipKSE8vJyMjIyhtv0UeXaS6az71iZOzbxb6/t4+kHRjY2cbiEB+h56sY1PPq/3RwqcWTqOF5ey71vfMGj164iOnj81LLpD71azTXpk7k6LcOZT/8se6oq3MfbLBZeP5vDm2dzWRGfwFcmT2FOZNSEC00TDI5grZ5grZ4wU//9xLUewjO8qHM9RNftFqtp0O1os5lps5kpNTYN+rNKFGiVKjRuwaNC4/zp/qdQo1EqHWKoyzGP81yf9fhd3ev+7p/vOviWJMktIMySFYtLWEi2zt+d22a7FYvd7v69x3ldhImHSHFf1+75Hc7z5Ao3HCg6pYpwjT+hbkE69HVZUWHOQU97z5AhgaAr9UYDHxQ4soU2mIw9jsf6B3Bt+uQJWf9NkiT+tfMEb+4/494XoNPw8FUrmJ3o/Rll//f5abegAbj9psWjImjkYNgj6pycHNrb24mJiSE1NbXH8cWLF1NSUsLBgwfPK2o0A8wuFRjoe7PharWK739tCb945lMkSaK6ro03Nx7nm9fOG+um9Yu/VsNvrrmAP3x2gM9OFQNQUt/CXa9/zqPXriQtKnRM2zeaKBQKFsXGsSg2jrLWVt4tcKSldFU+tiOxvaKc7RXlZISEcn1GJhclpaBT+X54j2DsUCmURGj9idD6A/2vT7TYbTRZjZ1hSt3WWnQVQW224Q9c7UgY7VaM9p7Vv0cLlUKBVqnG5hQz4wGNQuW5Tqq7J03b6V3RKzViAkUwauQ01PN2/lm+KCvF2ouAnxsVzfUZmayIT5iQ3j6LzcZznx7gi9Odtf8iA/U8dt1KUiJDx65hA6SssskjqmjN0nRmZQ1s+Yg3MGxRU1Li+MP1JmgAt5Bxndcf6enp+Pv7c/LkSXJycjy8Nfv27aO0tJQpU6YMeH2Ot5GRHMGVa6fy4eenAdi0LYclcxPJTI0a45b1j1ql5N5LFhEV5M9rex1tr28zcO8bW3n4quXMSRqZ6rfeTGJQEHfNmc9t02exqbiQd/PPcq69zX08v7mJJw7t54UTx7gizRGaFqWfGJ4twdihUaqI0gYQpT1/vQOz3dYz+1Uvi82brUYsdhsmu3VEw+CGik2SMNh6rnnzJhxeJSV6pZZwbc8wv+7elQCVVggVgddgtdvJPlfG23lnOdlQ1+O4VqnkoqQUrs/IZHLoyBWP9HbaTRZ++79dHCmtdu9LiQzh0WtXEhXk/e9/m83O3/67D6vVIVbDQ/V885q5Y9yqwTHsNTX//ve/2bRpExs2bOCWW27pcby4uJif/exnpKam8uSTT573env37uVPf/oTNpvNnSigpqaGgoIC5syZww9+8ANCQgYel3nPPff02KfVanniiScAsPSyAHwkMZmt3Hb/a5RVOFx7SfFhvPzkzWg1PfWl2rn43Godu1nQ7ryz7yRPfJDtjhFVq5T8/uZLWT29fy/cWDPStrTZ7WwvLeGVE0fZXV7W47hGqeQrU6fz/fmLiA7wzgJbA8Eb+6Sv4mu2lCQJq2R3h2qZbFbMdqvzpyOEy2S3YrY5BJDZbsNsc+7rfp7rs3YbFrsVk+szzvNdIsrjPOexwb6w1AolOpUarVKNTqlGp1KjUarQKdVoVc6fznVCXc/Tqpz7nL871hV5/q5TudYXqT0/q1Q5z3N8l69kBfO1PunNjAdb2ux2PsrL5c8H9lHey3rSmIAAbp4+ixumzSBcrx+xdviCLVs6jNzxjw/JOde5XmVBWgLPfGM9QXrdGLask/PZ8a2Nh/nbqzvc24//7EqWzuvdYTGSDDRqqzeG7akxGh2xlDpd73801xob13nnY8mSJQQGBvLcc8+Rk9NZ8CckJITp06cT5OM1QnRaNT+7fR0/+fXbSBKUVjTy1sbDfP2aRWPdtAFx/eIZRAUF8MDrn2C0WLHa7Pz8tS089fXLWDl19Du/t6BSKrkwJZULU1LJb6jnlRPH+PBsDkbnw8Nit/PaqRO8l3uGb8ycza1z5hMqU7ILgWA0UCgUaBSO9S1jJctdwsrUVfzYrNgUEmqlCqXkqP2jc4oKrVLtM4JCIPAWJEnii+JC/rBvD3m9LP6fGxPLN2fN4aLUdDQivJqmdgN3/nujh6C5ZPZkHvnKOp/JFltT18q/3t7j3r7ogqwxETTDZdii5nyOnsE6gj766CNeffVVFi5cyA033EB0dDQ1NTW8+eabvPrqq+Tl5XHvvfcO+HrPPvtsv8fr6upGJftZV2LCNVxyQSZbtp8F4JX39jM3K4roSM+1Qt6a8WNaVCBPfmU1D76bTbvJgsVm565/b+IrC7P41vKZqFXeF0c7mrYMAX48bSa3ZGSysaiQd/LPUmPoAMBotfLykUO8fvI4N2VO5SuTM/FX+8YCPPDePumLCFsOHxXgT3dbWjABg0+ZIBB9Uj581ZYHqqt46eQxznQTMyqFgrWJSXwlYwpTwx1r+5oaegqekcCbbXm8rIYnN++lrq0zRf/V8yZz++q5NPciCMeS/uz4zN93YDQ5JmGDAnV8dcP0MbH3cLOfDXv0qXe6HE2m3l8hrv0DScF8+vRp/vOf/5CSksI999xDUlISfn5+JCUlce+995Kamsq+ffs4duzYcJs95nz18lmEBDlsYrHY+Oe7B8e4RYMjKy6CR69diV+XsLm3D+RwzxtfUNnU1s8nJw7BWh03T5nKG5dezl1z5hPWxZvZZrHw8qnj3PDxR7yVl4vJNj4WOAsEAoHA9zhZX8ed2Vu5e8eXHoJGAVyUmMx/L9nArxYtcwuaiY7NbueVXSf5+dvbPATNFbMzuGP1XJ/yEB85VcH+Y51h89+4ai5BAd4RMjdYhi1qIiMjAaivr+/1eINTybvO64/s7GzAkTFNqfRsmlKpZNEiR4jWqVOnhtxeb8Ffr+WWLpnPDp+s4OCJ8jFs0eCZFh/JczetJTG8MyQwt6qBH/znE748c/7EEBMFrUrF9RmZvHnZFdw+YxaBXeJFm0wm/nTsMDdt2cjGogKs9tFNBysQCASCiUtBcxP379rOHV9+xqHaao9jK+IS+Ne6S3l48TImBfp26L+c1LS0c99bX/Lfvac61xcrldy6cjY/XDvPp5J8mM1W/vlO56R6VloUKxf5XtiZi2GHnyUnJwNQVFTU6/HCwkKP8/rDJYD0fSw4c+1vaxsfnoDl85P5YncBp/IcD5J/vXOIGZmx+Om8t3ZNd9KiQvnL1y/mb18eYcsJx9+6w2zlic17OVRSxQ/XzEOv9Z3wqpHEX63hG1nTuSptMq/nnuHt/FyMTg9NjaGDJw7t59Xc01yZmsElySlE+I3cwkuBQCAQTEysdjv7qirZVFzIjoryHsk35kVF870Zs5kRcf7J6InGjrNl/OHTA7SZOpNMxYcG8sCGpWTGho9hy4bGB5+fprrOMaZWKhXceuNClErfEWXdGfboOSsrC39/f6qrqykqKuqR2nnfvn0AzJt3/nosrqxmBQUFvR537Y+O9v7iRQNBoVDw3RsWcN8TH2Oz2altaOe9T05y85Vzxrppg8JPo+buixcyLzmGP352kHbnzf7ZqWJOV9TxwIalTI7xvZt9pAjWarl95myun5zJf3JO80FBvjvff3lbG8+fOMqLJ4+xODaODSlpLIuLR6P0jcWGAoFAIPBOilua2VxcyCelxdT3krxpalg435sxmwXRMT7lbRgNjBYrL247yubjnuPTtdOS+dHa+fj74ORtZU0LH3522r29ftUUkuJDx65BMjDs8DO1Ws2ll14KwD//+U+PLGcbN26kpKSErKwsMjIy3Pu3bNnCXXfdxWuvveZxLVd42c6dOzl40HONyYEDB9i5c6ejAOIi38gUNhAmxYZwxZrOejwfbc2hvKp5DFs0dFZNSeL5b1zC1LjOmNtzjW3c9doXvHcod9QTMng7EX567pozn9cv3cD6lFSUdL5EbJLE7soKfrFnJ9ds/JA/Hj1EXlNjP1cTCAQCgcCTNouZDwrz+d7WT/n6p5t57WxOD0GTGhzC40sv4KU1F7MwJlYImm4U1zXxk/9+5iFo9Bo19122mJ9dtsQnBY0kSfzznUNYnDVpwkL0fGX9zDFu1fCRJc7p2muv5cSJE+Tm5nLnnXeSlZVFXV0deXl5BAUF8YMf/MDj/JaWFioqKmhs9BykLVy4kCVLlrB3715+//vfk56eTlRUFLW1tW4vzVe/+lXi4+PlaLbXcO0lM9h5sJi6xg5sNjv/eOsgv/rxmrFu1pCIDQngma+u4dU9p3h972kkHK7uF7cd5UhJNfdeuohQf5HKuCtxAYE8uGAJt2TN4OOSQj4uKaK6o8N9vMls4u38s7ydf5bM0DDWp6RxUWIyIX2kURcIBALBxMUuSRyqqWZzcSHZ58ox23smotEolayIT2B9chqLYmNRKbwva+lYI0kSG48V8FL2UczWThtmxoRx/4alJIT57jqjfUfLOHam0r39revmo/fzPXHWHVlEjVar5eGHH+b9999n586dHDhwgICAAFatWsWNN944oCQB4AjHuvvuu/nyyy/Jzs6mtLSU4uJi/P39mTt3Lpdddhlz5syRo8lehZ9OzbevX8BTL28H4FReNbsOlXDNZb4ZZqdSKrll+UxmJ0bz+4/3Ue/MDLK/qJLvv/IJ9122mHnJsWPcSu8jITCQW6fP4jvTZvb5Qjrb1MjZo4f46/EjLI9LYENKGgtjYlErxQtJIBAIJjLn2lr5uKSox8RYVzJDw9iQksY6MTHWLy0GE899eoDd+ec89l+/YArfWjHTp+vzGIwW/u+9Q+7t2VmxLJmTOIYtkg+FNMFjgiorK70iLEqSJJ58KZvDJysACAny49U/fotAf51X5mYfKM0dJp79ZD97Cyvc+xTAVxZmccso1rTx5jz3/dFqNvNFeSmbiws53dB7hsFIPz2XJKewISWNpKDgEW2Pr9rRGxG2lA9hS3kQdpSP0bKlwWplW3kpm4qLOFpX0+s5oVodFyUlsz4ljcmhYSPanpFgtPvlifIantjkWXsm1F/HfZctZkHK0GuojDUuOz7z0ids3Ooobq9WK3nmgfXERY/s2GGgDLdOje+k2RrnKBQKvnPdAk7kbsJisdHcauSfb+3hJ99aPdZNGxYh/jp+ffUK/nckj5e3H8NisyMBbx3I4VhZDQ9sWEpcaOB5rzNRCdJquTotg6vTMihqaebj4kK2lBTTYOqMia4zGvhv7hn+m3uGGeGRrE9JZW1iMgEa33clCwQCgcATSZI4Xl/H5uJCtpaXYrBae5yjUihEsplBYrPb+e+e07y+77Q7VTPA/ORYfnrZIsIDfD8jaWFpHZu35bq3r143zWsEjRwIT42XeGpcvPfJSd7YeBwApULB3x7/KmGB42PRXkFNI7/btIeyhlb3Pn+tmp+sW8CFU8+f8ns4jKcZSFc6zs0lheyqqHBnTuuKTqVidUIi61NSmRsVI1shsPFkx7FG2FI+hC3lQdhRPkbCljUdHc7wskLK+yhtkRIUzPqUtHFVFmA0+mVNSztPbN7LqXN17n0qpYJvr5jFdQum+FQxzb6IiIjkzkfe5mSuYy1NTGQgzzywHq3We/wbwlMzzrhizVSy9xdRWdOKXZJ47u9b+fVP1vh03nAX6dFhoqaNDKiVSpbHJ7A8PoFGk5HPSkvYVFxIQXOT+xyTzcYnpcV8UlpMnH8Alyansj4llbgA4RUTCAQCX8Fks7GzopxNxYUcqK7qUVMGIFCjYW1iMuuTU5kWHiGylw2S3mrPxIUG8sCGJUyJjejnk77Fp9vPuAUNwHeuX+BVgkYOhKfGyzw1AMdzqnj0r1vd21+7ag5XrZs2hi2Sn+zcUo+aNgAJYYEjVtNmvM9ASpLE2aZGNhcX8llZCS1mc6/nzYuKZn1KGqsTEvFTD/5hNt7tOJoIW8qHsKU8CDvKx3BsKUkSuY0NbCop4rPSYtoslh7nKID50TGsT0ljVcIkdKrxNTjtykj1yz5rz0xN5kfrfLP2TF/U1LXx4LOf0tLqCF1fNDuRn956wRi3qifCUzMOmZUVy7J5Sew+XArAfz88SmSYP8vnp4xtw2Rk1ZQkpsRG8MSmPZypdCyAd9W0+e7KWVwzL1PMNg0ChULBlLBwpoSF88NZc9lZeY7NxYXsr6rC3mVu73BtDYdra3j2yEH3zN6MiEhha4FAIBhjGowGPikt5uPiIgpbeq9XFx8QyPrkVC5NSSXWP2CUWzh+KK5r4vGNeyipb3Hv02vU/GjdfNZNSxm7ho0ALW1GHvvbl25Bo9Oq+NZ188a4VSODEDVeyrevX0BhWRNVtY4b7q+v7iU0WM/0yTFj3DL5iA0J4Okb1/CfPSd5c98ZUdNGJrQqFWsmJbFmUhK1hg62lBSzubiQsrbOtUwdVisfFRXwUVEBSUFBXJacxmXJKUTq/cew5QKBQDCxsNrt7KmqYFNRIXuqKrD1Ejnip1Jx4aQk1qekMTsyalys7xgr+qo9MzkmjAd8vPZMb5jMVn7/0nYqazrf/9+9YSGRYeNTEIvwMy8MP3NhsKj58cNvudW1v17Db+66iKT40LFt2AhwtLSaJzfvpaG9M6tXeIAfP7tsCXOThy/kJnpYhSRJnKyvY3NJEV+UldDRS7YcJQoWxcayPiWNFXEJaHvJwz/R7SgnwpbyIWwpD8KO8nE+WxY0N7G5uJBPS4tpNJl6PWdWRBTrU1JZMykJ/wmczVKuftliMPGHTw+waxzWnukNu93O03/fycET5e5937lhKZdekDqGreqf4YafCVHjxaImKiqKU2crufu372KxOGYUwkP1PHrPxeNSZTd3mHjmk/3s61bT5oZFU/nmshnDqmkjXtadGKxWss+Vsbm4kMO1vdc1CNZquSgxmQ0paWSGda5xEnaUD2FL+RC2lAdhR/nozZYtZjOfl5WwubiQnMaG3j+n1zsSuySnkRg0vrwGQ0WOfjlea8/0hSRJ/OOtg3y6M8+97/K1M7jn1jXU1dX188mxRYiaYeLtogZg8xdHePrvO9ztTIwL4Td3XUSAv3YsmzciSJLkUdPGxZTY8GHVtBEv696paG/j42JHBeqqjvZez8kICWV9SioXJaWQOclRdVjYcfiIPikfwpbyIOwoHy5bVtVUc7C6ms3FheyoKMds75mCX6tUckH8JNanpLEgJgaVYnSKUvsKw+mXNrud1/ae5rW9nrVn5iXHcN9li8dF7ZneeO+TU7yx8Zh7e/6MBJ584FpUKqVX399C1AwTXxA1tbW1fLYzj5ffPOA+Ni0jmgd/cCFazfhyl7ooqGnk8Y17KG+Up6aNeFn3j12SOFJbzebiIradK8Nks/U4R61QcmFKKtdmTSXTzx/dOHPVjzaiT8qHsKU8CDvKgyRJtGrU/O9sDu+dOU2NoaPX87LCwlmfksa6xGSCteNvklIuhtova1raeXLzPk6e6/zceKs90xvb9hXy/Kt73duTUyL41Y/XMinBIRa8+f4WomaYFBaU4Kf3zljV7jfyGxuP8d4np9zHl8xN4q5vLR8XNWx6w2ix8reth9lysshj/8XTU/nBmrmDqmkjXtYDp81iZmtZKZuLizjZ0LubWqdSMScymkUxsSyMiSM1OFhkUBskok/Kh7ClPAg7Dp0Ws4lDNdXsr67iQHVVn57vMJ2Oi5NS2JCSRlpI6Og20kcZSr/cmVfOc58eoM3YWd5gPNae6c7RMxU8+UI2NrtjaB8XFcRv77mI4EA/n7i/WxoNZE1PH/LnJ3z2s+xNp7jk+jlj3YwBceOGWdQ3dpC93zHI33uklFdC9Hzruvlj3LKRwU+j5u5LFjE3OZY/fnaQDrMjV/+np4o4XVHHAxuWkhETNsatHH8EarRcmZbBlWkZlLS0sLmkkC0lxdQbO2ORTTYb+6or2VddCRwh0k/PophYFsTEsjA6ljA/kbVOIBCMX6x2O6fq6zhQU8X+6ipyGho80ud3RaVQsCwunvUpaSyNjUetFOFlI4XJYuXF7KNsOuZZe2bN1GR+tHY+ATrvnMSWg8KyBp75+063oAkJ8uPBH1xIcKBvvI+bGzt46Htv8O6uh4Z8DSFqtpxm7dUzUau9P5RGoVBw+82LaWo1cuyMoyrs5m25RIb5c/maqWPcupFjdVYSWXHhPLFpr7umTXljK3e9/jnfuUDUtBlJkoOD+f7MOdw2fRYHqqv4vPIc20uLMXTLnlZnNLC5pIjNJQ7BnRkaxsKYWBbFxDIzIqrXTGoCgUDgK0iSRHlbG/urKzlQXcXh2upes0h2JSsiknUJiVySlCImekaB3mrP+GnU/Hgc1p7pTk1dG7/72zZMZkef1GnVPHDHamIih7YOeSzI3nwKq7Vn6PtgmPCiprG+nUM7C1m8evJYN2VAqFVK7v3uCh7+4+cUlTUC8Mr7RwgL0Y+r4pzdiQ0J7FHTxmITNW1GC7VSydK4eK6cNRuzzcqXOTnsr65kf3UVZ5sae5x/tqmRs02N/Df3DDqVirlRjlC1BdEiVE0gEPgGLWYzh2oc4WQHqquo7COkzEWYTsdCZ0juJVOnERMQ6NWhPuOFvmrPZESH8eDl46/2THdcxTWbneU/lEoF9353BWlJ4ef5pPdgMdvYuvHksK8z4UUNwGcfHPcZUQPgp9PwwB2reejZT6mpdzxk//KfvYQE6ZmROX6Kc3ZHrVLy7RWzmJMYw+8/7qxps7+oku+/8olsNW0E/aNVqZkXHcO86BjumAmNJqMzltwxg1lrMHicb7LZ2FtVyd4qz1C1hc5wtTCdEKMCgWDssdrtnGqo54Bzwqa/kDJwZC2bFRnFopg4FsbEkh4S6l58HhXgOzPkvkxftWeumz+Fb18w/mrPdMdktvLki9kexTXvuGkxc6bFj2GrBs/+7Xm0NBrQDXONuxA1QGFONQVnqkifGjvWTRkwocF6HvzBhfzy2c9obTdhs9l56uXt/Pbu8Vmcsytzk2P42zcv4ZlP9rO/0BGG19Bu5IF3tslS00YwOMJ0fqxLTGZdYjKSJFHc2uIeFBytrcHYLZOaCFUTCATeQNeQsoM1VRyqOX9IWVpwiPN5FcfsyCj81GIYNVb0VXvmp5cuZmHq+Ks90x2bzc4f/28XecX17n03bpjF6iVpY9iqwSNJEp+9f1yWa4m70clnHxz3KVEDEB8dzM9vX8Vv/vwFZosNg9HCY89/yWP3XExk+PgrztmVUH8/fnP1BXx4JI+/O2vaSMCb+89wtLR6WDVtBENHoVCQGhxCanAIN0zOwmyzcbK+bsChan4qFXOiOrOqpQSJUDWBQCAfLWYzh7t4lgcTUrYwOoZIvf8otVTQFxO19kxXJEniH28f5OCJTg/VuuUZXHvJ9DFs1dDIO1VJaYE8BUGFqHFycEcBDbe2ER7lWwPhzNRI7vr2cp562VGcs7HZwON/28Zv7r6IwHFYnLMrCoWCq+dlMnNSlEdNm9yqBn7wn0+GXNNGIB9alapHqNpBZ3z6/uoq6oyeoWrGbqFqUXo9C6NFqJpAIBgaQwkpmxkZxSKnN6ZrSJlg7JmotWe68/6np/h8V757e8HMBL77lQU+OQnY1UuTNTNhWNea8KImIiqIitIG7HaJrR+d4PrvLB3rJg2aBTMncesNC9zFOcurmnnqpWx+8cM147Y4Z1fSo8P46zcu5vmth/nEWdOmw2zlic17OVxSzQ/WzB3jFgpchOn8uCgphYuSUnqEqh2prelR9LPW0DNUzTXYmBERKULVBAKBB5Ikca69zVkvplKElI0jduWV82z32jMhAdy/YSlZceO39kx3tu0t5I2NnUJgckoEd35rOSofDLuvq2rh8J7OWoRrrpwxrOtN+Dt39fppvPbCTgCyPz7NFTcvQOfne3nML1oxmfqmDndxzjMFtfzlld3c9e0V47Y4Z1f8NGruuWQR8/qoafP7r68nKyFqjFsp6EpvoWon6mvdxev6C1V7tVuo2tLYBBKDxneGG4FA0DsdVovb+7u/upLK9v5DykJ1OhZGx7oTloiQMu/GaLHy3KadvL3XMzvWhVlJ/HjdgnFde6Y7R09X8MLr+9zbcVFB/Pz2Vei0vjmc/+KjE0jOujrR8SHMmJ80rOv5phVkZNm6Kbz7f3sxGa20t5rYs/Usq9f7XkwiOBaINTQZ2LavEIC9R8t49YMjfPPaeWPcstFjdVYSU2LDeWLzHnIqGwBHTZtv/e0dHrx6NUuSInzSPTsR0KpUzI+OZX50LN+fCY1GIwdrBhaq9qdjR0gJDuaC+EmsjJ9EVli4+DsLBOOYBqOBXZUV7DhXzsGaKsx2e5/natxZykRIma9R1dzOnW9sJadLuJmfRs2P1s5j3bSUCfWcLy5v5Jl/7MTuo8U1u2M0WNi+5Yx7e91VM4c9CT/hRU1AkB/L1mXxpTM/dvbm0z4rahQKBd+7aRFNLQaOOotzbvwyh/iYYNYtzxjj1o0ecaGBPHPjWl7ZfZK39jtq2pitNn79zhfMTYrhB2vmkRQRPNbNFJyHMD/PULWiFkeo2oGa3kPViltaKG45zX9yTrvX4mSFRzAtLJz00FA0ShGqJhD4IpIkUW3oIKehgdMN9Zyor+VkfV0/K2M6Q8oWxsQyJzJahJT5GGarjXcO5vDGvjOYutWeeWDDUiaFTyzPfENzB0++mO3TxTW7sz87D0O7I5RQ769l+UVZw76muMuBCy+f7hY1Jfm1FJ2tITUzeoxbNTTUKiX3fHcFv/rD5xSXO8J3/v7WAaIjApmV5VvZ3YaDWqXkOxfMYk5SNL/buIcWZwzukdJqvv/KJ1wzP5OvLZmGXjtx3Na+jEKhIC0khLSQEG7MzMJks3HSGaq2t6qCguZmj/O7r8XRKJVMDg1jalg4U8MjmBYewaTAIDFbKxB4IS1mE2caGjjTUM+ZRsfPBpOx388EajQsiY1nsTOpSJQIKfNZ9hdW8PyXR6hsavPYf+WcDG5bNQetemJNUBlNVn7/4nbqmzoAx/vwnu/4VnHN3sjefNr9+9K1mehlSG4lRA0wKSWCjGmx5J+uAhxra3xV1ICjOOfPv7eKB5/+hMYWA3a7xLP/3MGj91zMpNiQsW7eqDIvOZY/f/1iXtx+nN1nSwFHNpy3D+Tw5ZkSbls1h1VTEieUC3s8oPMIVZvDubY2dlaUs6OinON1dT2yG1nsdk431HO6oR4K8gDHIGhKWDjTwiLICg9nWniEGAgJBKOMyWblbGMjZxrrOd3QQE5jPeVtbef/IBCt92dlwiQuiE9gdmQ0aqXvLZQWdFLV3MbfvjzC3oIKj/0Rgf7ce/kK5ieEjVHLxg67XeIv/9lDYVmDe9+3r5vH3Om+VVyzOy4HgotVl02T5bpC1DhZtX6aW9Ts+/IsN962TBbVOFZEhPnz89tX8fAfP8NkttFhsPDEC9t4/N5LCA7yzfjLoRIbEsCfv30F204X8eQH26hpdcx21LUZ+N2mPXx8ooAfrJlHcsTEEnzjiYTAQG7MzOLGzCwaTUb2V1VyptERqpLX1Iill3j7NouFQzXVHKqpdu+L9NMzNTzC7dHJCgsnSOu7zwGBwJuw2u0UtzS7vS9nGuspbG7GJvUXSNZJXEAAU8MimBoeztyoGKaEhokJqXGAyWLl7QM5vHkgB3OXUDOlQsFVcydz15WrCPLTUVtb289Vxievf3SM/cfK3NuXrsrk0lVTxrBF8rB9S6eXJj0rhsS0SFmuK0SNk4UXZPD6C7voaDNhMlrZ92Ueqzf45toaF2lJ4fz4m8t45h87kCSoqW/nqb/v4Jc/mhipnruiUCi4cHoaGWF63tx/hrcP5GCxOQa6R0tr+P4rn3D13Ey+vmw6/iIkzacJ0/lxSXIqlySnAmCx2yhoanIPpE431lPS0tJrPH6d0cAOp8fHRWJgENPCI9wiZ3JoGDqRSlog6BdJkqjsaHfccw31nGlo4GxTA8Zua+H6IlSrc0wwhIcz1elNFXWqxh97Cyp44cvDVDZ7ZqybkRDFj9bOIzUqlCA/3Ri1bmzZuqeADz/vHPzPnRbHLdf4fuIno8HCnq1n3dsr18vjpQEhatxodWqWrsnki/+dABwhaL4uagAWzU7k5ivn8N8PjwKQW1jLC6/t5cffXDYhZ7j8NGpuWT6TddNSeOHLI+wvciRUsNkl3j2Uy7bcUm5bOZvVWUkT0j7jEY1SRVZ4BFnhEVyTPhmADouFnMYGzjQ6BltnGuup7ujo9fNlba2UtbXySWkxACqFgowu63OmhkWQHByESiFCXwQTl0aj0eN+OtNQT7PZfP4PAn4qFVPCwp1emAimhYcT6x8gnsHjmMomR6jZvkLPULPwAD9uWzWbC7OSJ/Tf/+TZal5+Y797OzEuhDu/tcIna9F0Z392HsYOR9kNvb+WRSvlS2QlRE0XVq2f5hY1Jfm1FOfVkDLZd9fWuLhy7VQqa1rZuqcAgJ0HS4iPDub6y2aOccvGjoSwIH5zzQXsLajgb18eobrFMUtU32bgic172XyikB+umUdKpAhJG4/4azTMi45hXnSMe1+90cAZZ0y/a2a51dJzUGaTJHIbG8htbOCDQkdFZ71azZTQcKaFdwqdGH//Cf1SFoxfOqwWzjY2Ou6TxnpyGhqo7Oi/NowLlUJBekioR5hnclCwWA8zQTBZrLx1IIc3959xR0uAI9Ts6nmT+frSGROq7kxvVNS08Mw/dmDrkrr5/jtW468fH3bpmiBgyZpMWWtDClHThe4JA7ZtPs237vR9UaNQKLj1hgVU17VxKs+xfuCtzSeIiw5i+fyUsW3cGKJQKFiakcC85Bje3J/DWwc6H7LHy5whaeIhO2GI8NOzIj6BFfEJgCN8pqK9zS1wzjTWk9vYiNneM3zGYLVytK6Go3WdCx/DdI7wGVcigqlhEYToJmYYhcB3sdrtFDR3hm+eaainuKWlRzKOvpgUGNjFAxPB5NBQdCox9JhoSJLkCDXbdoSqbqFmsyZF8cO180iJDB2bxnkRre0mnnhhG+0djgk1jUbFz7+3kqjwgDFumTz0SBAgY+gZCFHTg1WXja+EAS7UahX33noBv3jmEyprWgF4/tW9RIUHkJkaNcatG1t0GjXfXD6DddMdIWkud7hdknjv0Fm25ZQKd/gERKFQkBAYREJgEBclpQCOAV5RSzOnG+rJcSYiKGpu7nWA12gysbuygt2VneEVCQGBjkxrYREstVrIipRncaRAIAc2u52ylhZ2lRY7BUwDZ5t6F/K9Ea7zY1p4hLuPZ4WHE6wVQn6ic66x1SPc20V4gB/fWzVHhHs7sVhsPP33HVTVdmb/+9E3lpKRMn7eE10TBKRlxZAkU4IAFwpJGmDakXFKZWUlXU1gNlm552v/pqPNBMA3f7JqzIpxRkU5xIacGT+qalt58OlPaHPOAgQH6nj83kuI9uECTgNhMLbsa+HizElR/HCNY+HiRGUk+qSvY7BaOdvU6J7FPtPYQEX7wFLSAoRotcT4BxDr+hfg77EdrNWKF/55EP1yYJhsNmo6OqjqaKe6o50q17/2Dqo72qk1GrD2kimwN/zVarK61H3KCgsnWi9CLl2IPglGi7VHYh4AlVLBNfMy+drSgSXmmQi2lCSJ51/dS/b+Ive+r14+m2svkW/8OdZ2NBos3PO1/3Ovp/n23RdywSVTPc5RKBTExcUN+TuEp6YbPRIGbD49ZqJmJIiNCuKnt63kt3/Zis1mp6XNxBMvZvPoPRfhr/d9j5QcLEmPZ15yjDvu15Vi8kR5LT/4z6dcOTeDby6bQYBO2EvgWE8zOzKK2ZGdHs8mk8mdsjanoYHTjfU0mUy9fr7ZbKbZbOZsU2Pv11epiQnwd4sch+DpFD4Rej+RpEAAQJvFTFV7O1UdHW7RUt1FxNQb+y9g2RdqhZLJoaFkhUcwzSlkkoKCRfFaQa9IksSe/HO8sO0I1S2eCVhmJ0bzw7WihEJ3PvjstIegWbUolWsuljc0a6zpkSBglXwJAlwIUdML4zVhgItpGdHccdMi/vrqXgDKq5p57p87uf+O1eMis4YcaNUqvr50OuumJXsUA7NLEh8cziM7p4xbV81m7VQRkiboSahOx9K4eJbGOQqkSZJEVUe7x7qEs01NdFgt572WwWaluKWF4paWXo+rFUqi/PWdnh7/AGL8nSIoIIBovT9akYLa55EkiUaTkSqnSKlqd3lbOkVLm+X8/WkgJAcFu1MpTw2PICMkVPQhwYA419jK81sPc7C4ymN/ZKBeFLvugz1HSnn9o2Pu7anpUXzvq4vGnZ2yPx65BAEuhKjphe4JA7I3nyZlHCQM6MqqxWlU1rby3ienADiWU8W/3jnEd29YMO5upOEQGxLII1dfwP7CCp7/8giVTY6wosYOI099vI/Nxwv44Zp5pEdPvErHgoGjUCiICwgkLiCQNZOSAAiPiKC2o51TZWVdwoE6ugxW2wdU08Mq2alsb6eyvffsUwog3E9PrFPoxDjFjms71j8Af41IhDHWWO12ag0dbs+K28vS3vn7QNe29IcSBZF6fafw9Q8gxtkfpk1KJC4wiPampuH/hwQTCqPFyuv7TvPuwdweoWbXzp/C15ZMQy9qwPUgv7iOv/xnj3s7NiqQn962Es04qyVYWlBHUe7IJQhwIURNH3RNGLB3Wx43jJOEAV25Yf0sKmpa2XukFIBPd+YRHxPE+tVZY9wy72NRWjxzkmJ452AOb+w7g8kZknbqXB0/evUzrpjjCEkL9BtffUQwcqiUSmIDg1BFRjGLnsk6JEmi2WzuFDzt7d0GvO0DqgMi4UhXXW80cKqhvtdzgjRaD+9O1wFvtL8//moNOpVKhBsNAUmSsNjtGG02Go3GznUs7r+r429aZzAMOKNYf2iVSqL9PUWrQ7Q49kXp/ftMnxwVFg7AwJIzCwSO/r0r/xwvfnmEmlbPULO5STH8YM08kiKCx6h13k1dQztPvrQdi8UxngjQa7j/9tUEBYy/5BrZH59y/z4SCQJcCFHTBwtXZvD6i7voaDNhMljYty1vXK2tAVAqFfzo60uoa2gnv8Qx2Pn3e0eIjQxi3oyEMW6d96FVq7h5yXTWTE3hxW1H2J1/DnCEpH14JI/s3FJuXTmbtdNSxOBPMGwUCgWhOh2hOh1ZzsFmdzqsFvdsfufC7871FHUGw4CGya0WM63NZvKbm/o9T6tU4adW4adSo1N1/u6nUuOnVqFTqfFTqfBTO4+7z1OjV6nQqZ3Hu+z3Uzk+p3d+ZjTrldglCbPNhtFmw2i1YrRZMdpsmKyOn0abFZP7WOdPk61z2+Q8z2h1/rRZMbl/t2Gy2mQRKy4C1JoeySRc66xiAwII0/mJ549gVChvcISaHSrpGWp2++q5XJA5SUR+9EGHwcITL2bT3OpY56ZSKrj31pXEx4w/AWgyWtiz9ax7e9VlI7dWSIiaPuiRMODj8ZUwwIVWq+Zn31vJg09/Ql1jB5Ik8Yf/28Vv7rqIlEkipKo3YkMCePiqFRwoquT5rYepcIakNXWYeHrLfjYfL+BHa+eLkDTBiOOv1pAaHEJqcO+Lbi12GzUdBo9MV10Xjld3dGAZYLYrALPdhtlso4WBVYofCmqFsptAcooelRqdW0R5CqTw4GAsdjsNLc1O0dFNgHQRHEZrpygxDSC8b7QJ1/k5QwQ9k0O4vGdBWuENFowtRouV1/Y6Qs26ZstTK5Vct2AKNy2eKkLN+sFms/PH/9tFaUWTe99tX13EjMyYvj/kw+zbNvIJAlwIUdMPHgkD8sZfwgAXocF67r9jNb987lMMRitGk5UnX8zm8Z9eQliIfqyb57UsTI3jxVsu5d1Duby+97Q7JO10RT0/evUzNsxO55blMwkSIWmCMUKjVJEQGEhCYO8p2+2SRIMzJMrD09PeKYI6rNZRbbNVstNmscu26N2bUCkUROn9PbLXudY3uYSLKEwp8FYkSWLH2XJe3HaEujaDx7H5ybF8f81cEsPHn6dBbl55/zBHTnfWL7ty3VTWLE0fwxaNLKORIMCFeHr2w0RIGOAiKT6Uu761gidezEaSJOqbOvj9S9n8+s516LSim/SFVq3ipsXTWDs1mRe3HWVnXjngGCx+dDSf7bllfHflLC6anipCQgReh1LhWDQeqdczI6JnjLMkSZ1hWC5vRx+hWSabFYPV89yuoVkmmxVD99Au53neUixNq1Q6PERdPUVOD1EPT5HzPEfoXZd9XbxLfu4QO8e5erVapN8W+CSl9S08v/UwR0qrPfZHBflzx4VzWZ6RIELNBsCW7Wf5OLszFGvRrEncfMWcsWvQCDNaCQJciNHqeZgICQNczJ0ez7evm8c/3zkEQEFpA3/5zx7u/vYKlErxsOqP6OAAfnnlcg4VV/H81sOUN7YC0Gww8ewnB/j4eCE/XDuPyTG9r40QCLwRhUKBXu1Y78IIrV2VJAmz3e5e09IjdKyvNS1dhJOkVqFWqlBYrR5CpGuomr6XdTwOUdJ5vhAcAoEnBrOF/+49zfuHznqEmmlUrlCzafhpxFByIBw9XcG/nOMrgLTEcH70zWXjenzVNUFA6pToEUsQ4EL0xPOw4IJ0XnthJ4Z2MyaDhf3Z+SO6yGmsuXTVFCpqWtmy3TGTsO9oGW9sPMbNV84Z24b5CPNTYvnbNy/h/UNn+e/eU+6QtDOV9fy4S0hasH78ZTcRCIaCQqFAp1KhU6kIGaJyGutK2QLBeEOSJLafLeOlbUd7hJotSInlB2vmkRAWNEat8z1KK5p47l87kSSHXzoi1J+f3b4SP934HYZ3TxAwGuvSxbTUedD5aVi2dop7e9vmU/2cPT645dp5zJ0W597+4LPTfLm3YAxb5Fto1SpuXDyVv397PRdkJrr3S8DGYwXc+q+P+fh4AXbJW4JuBAKBQCBwUFrfwv3vbOPxjXs8BE1MsD8PX7mcR69dKQTNIGhqMfDki9kYjI71iTqtmp/fvorwEP8xbtnIsj87350gwM9fM6IJAlwIUTMAunpmXAkDxjMqlZI7v7WCxLjOjEovvXGA03nV/XxK0J3oYH8eumIZv7t+FZO6vACaDSb+8NlB7nrtc85WNYxhCwUCgUAgcNBhtvBy9lHueGULR0s7xzkalZKbl0zjpW9dxrLJIk3zYDCbrTz18nZqGxzVnxQKuPNbyyZEdtmuToClI5wgwIUQNQNgUmoE6VM7U+1t75LJYbzir9dw/x2rCQnyAxwpCJ/6+w4qalrGuGW+x7zkWF645RK+e8Esj9jj3KoGfvLfz/jjZwdpMZjGsIUCgUAgmKhIksSXZ0q49V8f887BXGz2ziiCRc4sn7csnynWzgwSu13i+f/uJa+4s+jxN66ex4KZk8awVaNDzwQBo1MSRYiaAdI1FnDPl3kYOkauToO3EBUewM++txKNRgVAe4eZJ1/Ipq1dDMAHi0al4oZFU/n7ty9j1RTPkLTNxwv4zj83s1mEpAkEAoFgFCmua+Znb2/jic17qfcINQvg11et4DfXXCBCzYbI2x+fYPfhUvf2uuUZbLhwSj+fGD90TeM8GgkCXMgmu81mMx988AG7du2irq6OwMBAZs+ezY033khERMSArrFt2zaef/758573wx/+kFWrVg23yYNioiUMcDE5JZIffn0Jf/jXLgAqa1t5+u87eOiHF6JWq8a4db5HVJA/D16+jPWzqvnrF4cpbXB4vlqNZv742UE2Hy/gxkVTWZaRgGoUK6sLBAKBYOJQWt/Ch0fO8vGJQg/PjEal5IaFU7lxURY64ZkZMtv3F/HulpPu7VlZsXznKwsmROieyWhhb5cEAaM5Vpalx5rNZn7729+Sm5tLWFgYCxYsoLa2lm3btnH48GEeffRRYmNjz3ud2NjYPsVKR0cHBw4cACArK0uOZg8KV8IAVzHO7M2nJoSoAVg2L5mq2lbe2HgcgNP5Nbz05gG+f/PiCXGDjgRzkmJ4/psX88HhPP675xQGi2MBYV51I49+tJvIQD2Xz8ngsplphPr7jXFrBQKBQODr2Ox2DhRV8eGRsxwu6blGdnFaPHdcOJf40N6L9QoGRk5BDS+8vs+9nRAbzN3fXoFaNTEmKvdn57ujmfz8NSxePXnUvlsWUfP++++Tm5tLZmYmDz30EH5+jkHYxo0beeWVV/jb3/7GI488ct7rZGVl9SlYPv30Uw4cOMCUKVOIiYnp9ZyRZtVl09yipjivlpK8WpInR41JW0abay6eTkVNK9v3FwGwbW8h8dHBXH3RxBB2I4FGpeIrC7O4MCuJl7cfY1tOp5u6rs3A/+08wX/3nGJ1VhJXzZ0satwIBAKBYNC0Gc18crKIj47mUdnc3uN4XEgAd1w4jyXp8WPQuvFFVW0rT728A6vVUdMnKFDH/bevJmCc1jfsja6hZ6OVIMDFsEWN1Wply5YtAHz3u991CxqAyy+/nOzsbM6cOUNhYSFpaWlD/p4dO3YAsHLlyuE1eBi4EgYUnHHMcGR/fIpvTl49Zu0ZTRQKBbd/dRG19W2cKXDUgnjtf0eJjQpkyZykMW6dbxMZ5M8DG5ZyzbxMPjh8lh1ny91Fziw2O5+dKuazU8VMi4/gqrmZrJg8acLM+AgEAoFgaBTXNfO/o3l8fqrYXTOtK6mRIVw5dzLrpqWgFeHkw6atw8wTL2TT6lx3rFYrue+2lcREThzPV2lhHYU5nV7AVZeNToIAF8MWNTk5ObS3txMTE0NqamqP44sXL6akpISDBw8OWdTU1NSQm5uLWq1m6dKlw23ysFh12XS3qNnzZR433LYcP/3oqdCxRKP5f/buO6zJc38D+J2QhI3sITIFREFQRNzi3rVqh3avX5cddp2O013bUztOx+ne21prq3Xixi2CqIBMmSIz7JkQkt8fgUAEJ5E3gftzXb0k7/sSv31AyJ33eb6PGZ7+v0l48b87UCqvBwB8+vMRuDhaY7D35a2bogsL9nDC8/PH4f7oJmxLysaWpGxUNjTrzqcWVSC16AicbCwxP2ww5oUNhoM1p6YREZFWq1qNuOwi/HMyS68tczuxSIRxAZ5YNDIQwwe5cAq5gaha1fjgO/0OsctvG4tg//4xm6fdvq3nNQgY3DsNAtr1+O3e/Px8AOg20ADQBZn2667G/v37AQARERGwsRE28Y6ePBiW1trbiIqmFsTFZglaT2+zs7HACw9NgXVbkFO2tOKdr/ZBXtX1ljZdHScbS9w+PhQ/378Az80bi6Ee+oGxor4JPx9OwR3fbMK7244iu6xKoEqJiMgYNCha8Gd8Ou75bgte33ioS6CxtZBhadRQ/PR/8/HKwgkI83JloDEQjUaDb/+IR0pmxx2KG+eGYmKkr3BFCUDIBgHtenynRi6XA8AFO5w5OjrqXXc1Dh48CODqpp499dRTXY7JZDKsWrUKAODsfOUpcvqCcGz+Q9u04EBMOm64Y/I1+eEgkWi/PC4uxpX0XVxc8MbT1+HZtzegtVWN6tpmvP3lfrz/78VwdTbO1o/GOpaXstTdHUsnR+L02VKsOZyEHUlZaGntmJq2OzUfu1PzMSnYF/dNi0SY96UbcvSEqY6jMeJYGg7H0jA4jobTW2NZ09iM1YdOYc2hJNQ1d91uYYiHM5aOD8OcEUEmu8+MMX9fajQafPP7Iew5kq07Nm18EJbfOc3oQuO1Hsft6xN1DQIsrWWYd8M4WPbyWqIe36lpbtZOjzE3N+/2fPsam/brrtSZM2dQVFQEa2trREREXF2RBjZnSaTu45yMEpw+UXCRq/umiFAvPHnfVN3js0VVePy1P3G2iHcNroUQLzesXDoTW5+/G8tnjoGLnbXe+QPpebj783V48JsNOHamEBrud0NE1GfJ6xrw0dZDmL/qJ3yzO14v0JiJRZg5PADfPbQEqx9fikWjh5lsoDFmrWo1/vvNHvy+8bjuWEigB557aKbRBZprTaPRYOPvR3WPp8wN6/VAAxjgTs2lXjz19MVV+9Sz8ePH61Lmlfjggw8uel4ul19xjVYDRBg6YhDSThYCANb+sA9uXnOvuLZLaU/T5eXlBn9uQ4ga7oab5w/H2i3ajnCl8jo8+sof+PfyqfD3Mq5OXcY+llfi+jBfzA/xxsGsQqw9lobs8mrdufjsQsRnF2KohxNuGTsMUX4eBv3h2pfGUWgcS8PhWBoGx9FwrtVYltU2YG18Oran5EJ53uJ/K5kEC8IDsHBkIFxsrQD0bJaMsTDG78uWllZ88vNhHD15VnfMZ6A9nrhnHGpqjPPN3Ws5jinHC1CQ3fG8E2cHXtXfIxKJ4OHhcdV19DjUWFpaAgAUiu53mW8/3rkr2uVqbW3FkSNHAAjb9aw7sxaH6ULNySO5KC2qgdvAAQJX1ftunDMc1pYy/LBO+05Fbb0Cr/9vN557MBrDAlwFrq7vkpiJMSXYG9FDvBCfW4zf41KRWlShO59WXIFX1h/AYBd7LBszDBMCuZknEZGpOldVhz+OpWFXap7eZpmAdr3M4oggLBwZCFuL/tM6WCjNiha8/+0BJKWX6I4N8XPGcw9NgU0/at3c2Y6/T+k+DhvtDQ8vB0Hq6HGoaV+TUlFR0e35yspKveuuxKlTp1BTUwM3NzcMGTLk6ou8BoaP9oH7IHuUFFZDowF2bUjCbcsnCV2WIOZGD4G1lQyf/3oUarUGTc0teOvzvXjyngmIHD5I6PL6NJFIhCj/gRjt54GkwnKsPpqKkwUdixWzy6vx1ubD8HK0xdKooZga7MN20EREJiK3vBpr4tKwP/Ms1OfNKnG0tsANkUMwP2wwLGX9owur0OobFHj7y1hk5XW85h0x1ANP3TcJFub9c4rfubxKpBzvuGM1a8kIwWrp8VfAx8cHAJCbm9vt+ZycHL3rrkT73jSTJhlfWBCLRZi1OBw/f7IPAHBwRxoW3TEa1rb9s8Xu5NF+sLKQ4sMfDqGlpRUtLa14/9sDWH77WEwe3X1nPDIckUiEcC9XhHu5Ir24Ar8fTcXRnCLd+bOVdXg/5hh+OXwaN0cFY1aIH/clICIyUunFFfg9LhVHs4u6nHO1tcLNUcGYHerPn+O9qLKmEW99thdni2t0x8ZHeOPRO8ZB0o+/Djs3dNylGeTnhKEjPAWrpcdv2QYHB8PKygqlpaXdBpu4uDgAuOJF/s3NzUhISABgnKEGAMZND4K1rbZBgqJZhf0xaQJXJKzI4YPw4vKpsGzbPVat1uDTn49ga2yGwJX1L8EeTnh98SR8fscsTA7yQucVNaW1Dfhk13Hc9e1m/JWQgeYWlWB1EhFRB41Gg6SzZXhhXSxWrN7VJdB4Otjgqdmj8cN983HdiEAGml5UUl6Hlz/YqRdoZk4MwON3je/Xgaa2ugmHd3e0cZ61OFzQJgk9DjUSiQRz5swBAHz//fd6Xc42b96M/Px8BAcHIyAgQHc8JiYGTzzxBFavXn3B542Li4NCoUBgYGCPFg1dS+YWUkydH6p7vOufJKi62bW3PxkW4IrXHp8OO5uObng//nUca7cmsSNXLxvs6oAXrxuPb+6Zi5khvjATd/ygqWxoxtf7TuLObzZj9dFU1DcrBayUiKj/0mg0iM8txtNr9uBfa/ciMb9U77yfywC8MH8cvrl7LmaH+nMKcS/LP1eFlz/cifLKjv34lswOwf/dPBrifr5WNXZLClQt2te9dg6WGDMlUNB6DDIBcMmSJUhOTkZGRgZWrFiB4OBgyOVyZGVlwdbWFsuXL9e7vra2FkVFRaiqunCHiPapZ8bWIOB8064LxbZ1J9CqUqNK3oCEAzkYO1XYL6rQ/Lwc8caTM/Hmp3sgr2oEAKzbloL6RiXuXjIKYnH/anUoNC9HOzwzZwxuHxeKP+PTsD0lV7fXTU2TAj8dSsaf8elYODIAiyOCYG/VP6dQEhH1JrVGg8NnzuH3o6k4080mykPcHXHr2GEY4z+w37UINhbpOeVY9WUsGptadMfuXByBBdOCBazKOLQoVdizKUX3eNqC4ZDKhL1rZZBQI5PJ8Oqrr2L9+vU4ePAg4uPjYW1tjejoaCxduvSKmwRUVVUhJSUFZmZmGD9+vCFKvGbsnawxZkogDu/STrHa8fdJjJkS0O9/AA10tcPKJ2fhzc/24FxpLQAgZl8mGhqVePi2sXynSQDuA6zx2IxI3Do2BH8lZGBLUrZu+lmjsgVr4tKw/ngm5ocPxo2RwXCysRS4YiKivqdVrca+jAL8HpeGgoraLufDvFxxy5ihGOnt1u9fSwjpZGoR3v/2AJRtdyJEIhEevnUMpoz1F7gy43A0Ngu11U0AAKnMDFPmhwhcESDS9PM5QcXFxT2eFlWQLcdrj6zVPX7+/cUICu35lDlj7M1+pWrrm/H2F7HILqjUHYsIHYin7pkImaz3OoX0hbE0tNomBdYnZuKfE1loULTonZOaiTEzxA9Lo4LhPsBGd5zjaDgcS8PhWBoGx9FwuhtLpaoVu1LzsPZYGoprGrp8TpSfB5aNGYYQzyvvFtuXCfF9eeh4Hj79+YiufbZEIsYTd09AVLhXr9VgaIYcR41Gg1cf/gOFedrXdtFzh+GuFVN6/LyC71NDgPdgZwSHeyL91DkA2rs1hgg1fYGdjQVeeWw63vtmP1IytfOEE1OK8NYXsXjugcmwsuyfPd2NgZ2lOe6aMBw3Rg7BppNn8PfxTNQ0afeVamlVY2tSNmKSczB1qDeWRQ2Dt5OdwBUTEZme5hYVtiXnYF18OuT1TXrnRAAmBA7CsjFDEehmXJtW91c7Dmbhu7XxaH+/28Jcgmfvn4zQIe7CFmZEUk8U6gINAMxcHCZgNR0Yagxk1pJwXag5cSQXZUU1cO2Hm3F2x9JCiucfmoKPfzyE+CTthqVpZ8rw+v9249/Lp2JAP22DbSyszWVYNmYYFkUEdfnFq9ZosDs1H3tS8zExaBAenj0BwZ4uAldMRGT86puV+CMuDX8dz9C9YdROLBLxDSMjo9FosH5HKtZs7mhRbGttjhcenoIAHycBKzM+O9Z3jNHw0d4Y6G0cgZyhxkDCRvvAzdMepefaNuP8Jwm3PmycraiFIJOa4al7J+Kr348hNk67d1FuYRVe+WgnXnpkGlwcrQWukCykEiyOCML8sMFdpkhoABzILMSBzD8wcYgPZgR7YZSvO1uKEhGdJ7+iBn8knsGfR1JQ16wfZtqn9t48Ohge9jYXeAbqbWq1Br9uOIHNe9N1xxztLfHSI9MwyJ1vUHdWVFCJ5PgC3eNZi8MFrEYfQ42BaDfjDMMvn+4HABzYnoZFd0TBqlNr4/7OzEyMh24dAxsrme4HR3FZHV75cCdefGQqf3AYCZnEDPPCBmN2qB9i0wuwJi4NBZUdi1kPZuTjYEY+rGRSjAsYiMlBXojwYcAhov4rv6IGBzLOYl/m2W4X/5u3/Vy9MXIInG2tBKiQLqS1Va33hisAeLjY4qVH+YZrd3auT9J9PMjXEcNGDhKwGn0MNQY0fsYQ/P1THBrqFG2bcaZizo0jhS7LqIjFItyxeCRsrM11t3grqhvx6ke78O/lUzDYm7d4jYWZWIzpw3wxdahPt21HG5Ut2J2aj92pnQOONyJ83BhwiKjPK6ioxf7Ms9ifUYD8boIMAFjJpGyXb8SULa16U+MBwHeQA17k1Phu1dU04fDujg3VZy4RdrPN8zHUGJC5hRRT5oVgyx+JAIBd/yRjxqKwfr3bbHdEIhGWzA6BjZUM3/2pXYxX16DA6//bjWcfiEZokJvQJVInYpEIEwMHYUKAJ7KqmrDxeBr2p+ZC0Wmj2c4Bx9pcinGDPTF5iBcifNwgNeP3PxH1DQUVtTiQeRb7M88iT15zweuCPV0wOywQk/3dYGPBhjjGqKm5Be9+vR+nszo2Ox062AXPPRjNJkYXELvlNFqUbZtt2ltirMCbbZ6PocbApi0cjpi/TqJVpUZleT2OH8wRfIdVYzVrUiCsraS6tonNChXe/mIvVph428S+SiQSYcIQH0wY4oOzRcWIzy3GvoyzOJZTpBdwGhQt2JWah12pebA2l2J8gCcmB3lhJAMOEZmgs5VtQSbjLHIvEmQCXB0wOcgLk4Z4ITzQDwDbYxsrY9luwpS0KFuxe1Oy7vG060IhNbKxMq5q+gAHJ2tERQfgyO5MAMCOv08hKpqbcV7IhFG+sLKQ4b/faTe4alGp8d/vDnKDKyNnIZVgUpAXJgV5oblFhWM5xdifWYBjOcVdAs7O03nYeToPNuZSjGPAISITUFhZh/2ZBdifeRa55RcLMvaYHOSNiUGD4Olg24sV0tWSVzXgrc/26jYGB4CJkb5Yfjs3Br+YuNgs1FZpO6NKpGaYMj9U4Iq6Yqi5BmYtDteFmtzMMpxJLUFgCPetuZCRIQPx0qPTsOrLWDQ2tUCj0eDz346ivlGJBdOChS6PLsFCKsHkIV6YPEQbcOJyirA/4yzic/UDTv15AWd8wCBMHuKFEd6uDDhEJDhtkDmLA5lnkVNefcHrBrvYY/IQ7Zs6DDKmpaisFm9+ugfyqkbdsTnRQbh7ySiIxXzz+UI0Go1eG+fx04NgZ28pYEXdY6i5BnwCXBAcNhDpSUUAtP28GWouLtjfBa89PgNvfb4XNXXNAICf1yeivlGBpfPDeKfLRFhIJYge4o3oId5oUrYgLqcYBzLP4lhuMZTnBZwdp3Ox43QubCxkmBDgiUlBXhjp7cZ3yoio15yrqmtb7H/xIOPfFmQmM8iYrJyzlfjP53tRW9/RZvvGuaG4ae5wvsa4hLST51CYW6F7PHOR8bRx7oyh5hqZtWSELtQkHs5FWXENXD3YsvhifAc5YOWTM7Hy0z0or9Tuj/L39tOob1Di3ptGQSzmi11TYimTYkqwN6YEdwSc/ZnaOzh6AadZie0pudiekgtbC5l2Dc4QL4zwYsAhIsM7V1WnWyOTfYkgMylIG2QGOTLImLLUM2V456t9aGpu0R27+4ZRmDdliIBVmY7Od2lCI73h6Wscm22ej6HmGgmL8oGb5wCUnquBRq3Brn+ScetDE4Uuy+i5u9hi5VMz8dZne3G2WDuPecfBLNQ3KvDoHePYSc5EdQ44jcoW7RqcjALE55XoBZy68wLOhABPTB7ijXAvVwYcIrpqRdX1OJBxFvszC3CmrPqC1/m5DMDkIG8GmT7keMo5fPD9QbS0aH/XiMUiLL99LCaP9hO4MtNQfLYKScfydY9nLQ4TsJqLY6i5RsRiEWYuCsevn3XejHM0rKy5GeelOA6wwusrZuDtL2ORlae93Xk4sQCNTS14+v8mwdzIum3QlbE6L+DEZRfp7uC0tKp119U1KxGTkouY9oATOAiTg7wYcIjosnQEmbN6e2ydz895gG6NjJejXS9WSNfagfhcfPbrUajVGgCAVGqGJ++ZgMjhxrNhpLHb2ekujaePI0IijLc7LV8dXkMTZg7B+p/i0FCvgKKpBftj0jDnhhFCl2USbKzN8fKj0/D+tweQlF4CADiZVow3P92D5x6aAhsr9pDvC6xkUkwd6oOpQ33QoGjRNRlIyOsm4CTnICY5B3ZtAWdSkLbJgBmnJRJRm+Lqet1i/6zSCwcZX+cB2vbLQV7wdmKQ6Yu27cvAD+uO6x5bWkjx3IPRGBbgKmBVpkW72Wam7vHMxca9xpmh5hoyt5Aiet4wbF17AgCw+58kzFwUBjO+y3xZLMyleO6BaHzy82EcPXkWAJCRK8frH+/Ci49Mhb2d8XXeoKtnbS7FtKE+mKYLOOewP6OwS8CpbVZiW3IOtiXnYIClOSYEapsMhHsx4BD1RyU19djfdkfmUkGmfY0Mg0zfpdFosG5bCv7c1rGnip2NOf69fCr8vYxzLYixit16GkqFCgBgO8AS46YFCVzRxTHUXGPTFw7H9r9OobVVjYqyehw/lIOoyQFCl2UypFIzPHHPBHy9Jh57jmQDAPKLqvHyhzvx8iPT4OpsI3CFdC1oA44vpg311QWcfRlncTyvRC/g1DQpsDUpB1uTOgLO5CBvhHm5MOAQ9WElNQ1ti/0LkHmRIOPjZKfbENPHic16+jq1WoMf/z6OmH0ddxecHazw0qPTMNCVQfZKtChbsWdjiu6xMW62eT7jrq4PcHC2wejJg3F0bxaAts04GWquiFgsxoO3RMHW2hz/7EoFAJTK6/Hyhzvx4iNT4T3QXtgC6ZrSDzhKHM3WTlE7nn/xgBPp646hA50xbKATfJ0HMOQQmbDKhiakFVUgtUiOpLNlFw0y3k52iGaQ6XdUrWp88dtRHIjP0x3zdLPDi49MhbODtXCFmahj+7NQ07afj0RqhqkLQgSu6NIYanrBrCXhulCTk16KM6klCBjmLnBVpkUkEuG260fAxlqG3/45CQCoqm3Cqx/vwgsPTUGQn7OwBVKvsDaXYfowX0wfpg04R9oCTmI3AWd3Wj52p2k7tlhIJQj2cMRQD2cMHeiEoR5OsLNk0w4iY6RqVSNXXo3UthCTVlSB0tqGi36Ot6OdbrG/rzODTH+jVKrwwQ8HkZhSpDs22NsRLzw8BXY2FgJWZpo0Gg12/N3RIGDctCDY2VsJWNHlYajpBb6BrhgyfCAykts24/z7FEPNVbp+xjDYWMnw9Zp4aDQaNDQqsfLTPfjX/ZMQFswNTvsTa3MZZgzzxYxhvqhvVuJI9jkcyCzE8bwSqNRqvWubW1Q4WVCGkwVlumODHGwxdKAThrXdzfF2GgCxES+AJOqrqhubkVZUgbRibYjJLKmEolOr9wvxcrTVtl8eMgg+TgOMegEzXTuNTUq88/V+pJ3p+PkeEuiGZx+YDEsLqYCVma70pCKczenYbHPWYuPcbPN8DDW9ZNaScF2oOX44B+UltXBx5/zOqzF9fACsLWX4+KfDaG1VQ6FU4e0v92HF3eMxdoS30OWRAGwsZJgZ4oeZIX6ob1YiIa+k7R1eObLLq9Ha1s6zs8KqOhRW1WHn6TwA2k5sQz2cMNzLBWGDXBHk7gCpGfdFIjK0kpoGJJ0tQ1JhGU6fk6Oouv6yPs/ZxlI3pTTCx41BhlBT14z/fL4XuYUd0xEjhw/CE/dMgEzKn99Xa8ffJ3Ufh0R4Ge1mm+djqOkl4VE+cB04AGVF2s04d/x9CrctnyR0WSZr7EhvWFlK8d43B6BQqtDaqsaH3x/Cw7epMGWMv9DlkYBsLGS6fXAA7V2arNJKpBZVtL0bLEd1o6LL5zUqW3A8vwTH87UtxM0lZgjxdEaYlytDDlEPdA4xSWfLUFrbeMnPkYjFCHCzx1APZwwbqJ026mJr/NNfqPdUVDXizc/24Fxpre7YlDH+ePCWKHaZ7YFz+ZU4Fdex2ebsJaZxlwZgqOk1YjMxZi3u2Ixzf0wqFtwyCgMc+EP6aoUFe+DlR6fh7S9j0dCohEajwee/HkWzQoU5k4277SD1HgupBMMHuWL4IO3eBBqNBsU1DUhrm6ufVixHTnkN1Br9uzkKVSsS80uRmF8KgCGH6HJdTYhxtLbQ3YUZ6uGMQDcHyCT890XdK5XX441PdqO8smOt1fypQ3DHogiIxbx71xNb/0jUfezp44iQUca72eb5GGp60cRZwdi4Oh61VU1oUbZix/pTuOnecUKXZdKC/Jzx+ooZWPnpHtTUNQMAvv8zAc0KFRbNHCZwdWSMRCIRBtrbYKC9DaYP8wUANClbkFFSiZRz2s5KqUVyvcYDAEMO0YVcTYgZ5GCLMC8XDB/kihBPZ7jaWnEqGV2WwpIarPx0D6pqmnTHbp43HDfMCeX3UA+VFdUgLjZL93j+sgiTGlOGml4kM5dg9pIR+PO7IwCAPZtSMPemkbCxZWeOnvAeaI83npiBNz7dg4q29oOrN55EU3MLli0w7t1vyThYyqQY4e2GEd5uwLgQKFWtyCipwKmz5Qw5ROfpSYgJG+SKMC9XONlw82S6crlnK/Hm53tRV98xhfjOxRFYMC1YwKr6jq1/noC6bQ2qq4cdRpvYFiQMNb1syvwQbP0jEQ31CiiaWrD7n2Rcf/toocsyeR6udlj5xEy88elulJRrF52u33EazYoW3LVklMDVkamRScw6pqwx5FA/xxBDxiAztxz/+SIWjU0tAACRCLh/aRRmTDCtF97GqrK8Hod2pusez7s5wuTWJjHU9DJLKxlmLg7Dhl/iAQC7NiRh1pJwWFrJBK7M9Dk7WuP1FTPx5md7cLa4BgCwbV8mmhQqvPT4fG6+SFftWoScCQ6OkHLNABkhhhgyNseTC7Dy071QKFUAALFYhEfvGIeJkb7CFtaHxPx1Eq0q7e8xB2drjJ8xROCKrhxDjQCmLxyOmL9OormxBQ31CsRuOY25N40Uuqw+wWGAJV5bMQP/+XwvsgsqAQCxR3MAxODfj84WtjjqMwwRciyk+zBskCtcbSzgaW8DTwdbDLS3gYe9DSyk/NFM15Zao4G8rhFF1fU4V1WHoup6yBuVyCiSo7i67pKfzxBDveXw8Ry89tFWtLRo9y6SSMR48p6JGB02SODK+o7a6kbs35aqezz3ppGQmGBLbP7mFIC1rQWmLgjFtrUnAADb/z6J6QuHQ2bOL4ch2Fqb4+VHp+Odr2KRll0OAIg9moXGJiUeWDaKuwuTwV1NyGluUSExt6jb53O2scTAtpDjaW+j+3ggAw9dgfbgcq6qHkXVdW1/1uNcdR2Kq+u7fE9eDEMM9TaNRoPdh7Px3Z8JaG37XjWXmeFf90/mZtsGtuPvU1AqtHfB7OwtMXmOaTZa4m9HgcxaHI5dG5LQomxFbVUTDmxPw/SFw4Uuq8+wspTi38un4v1vD+BUWjEA4NipfGTklOKhW8dgVKinwBVSX3Y1IaczeX0T5PVNSDpb1uWck42lXtDxZODp19QaDcrrGlFUpQ0ruj+r6684uHTGEENCqq5twle/H8PxlHO6Y5YWUrzw8BQE+7sIWFnf01DXjD2bU3SPZ98wwmTfZDfNqvuAAQ5WiJ47DLv+SQYAbPvzBKLnDjPJ233GylwmwbP3T8bHPx3GsVNnAWh3H37nq32YNm4w7loSAUsLqcBVUn/QXcgpaWpFdmklMguLde+kl9Q0XPJFaEV9Eyrqm5BUWN7lnC7wdBN6GHhMV6taDXl9k26aWPufRVX1KK65+uACaPeHGWhvC08HGwR6usHH2R6eNjKGGBJM3Mmz+PqPY3odzgbYWuKFh6Lh720aO9ubkt0bU9DcqG2+YG1jjinzQwSu6Orxt5yA5tw4Enu3nEarSo3K8noc3p1hsrf8jJVUaoan7p2IA8fP4evfD+nm5O45ko2UzBI8esc4BA92FbhK6m9kEjOM8nfHKH9PlJe76463qtUor+t48VrU6Z33ngYeR2sLXcDxtLfFQAcb3R0eSxnDvdDav/Yd08S0X/uiasMEl8v52ru4aN8BLy/v+v1DdK01Ninx/brj2H8sV+/46HAf/OvBGUBr0wU+k65Wc1MLdm44pXs8/frhJt24iqFGQI4uNpgwYwj2x6QBALauPYEJM4NNroWesROLRbhx3khEhnnjjY+3IPdsFQCgrKIBr368C9dNH4ql88Ig5V0yEpiZWAz3AdZwH2CN8xuR9/RFb2VDMyobmpF8gcDT/m79+VPaGHgMp6eh9WKcbCw71mB1Ci6eDra8S0dGLyWjBJ/9dlS31xygXT9zx6II3Lp4HEQiEcrLGWoMLXZLChrqtHfEzC2lmLEoTOCKeoY/6QQ27+YIHNiRDo1ag7KiGsTvz8bYqYFCl9Un+Q5ywltPz8ZfMSlYv+M01GoNNBpg4640nEwtxqN3jIPvIAehyyTqVufAE+Gjf66n05PaA0/Kua6BZ4ClOWwspLCUSmAhlcJCagZLmQQWUgkspRJYyqSwkEq0xzs9tpRJ2j5HovdYYkJv2qg1GihaVGhqUaFJqUJzi/a/zo+blNrHunPtj5UqNKv0H1c1Nvc4uHB6IfUlSqUKqzedwtbYDL3jgb5OePSOcfBwteMG2teIUqHC9r867tJMWxBq8pvB86egwFwHDsCY6AAc3ZsFANiy5jiiogMgFvMf8bUgMRNj6fwwRIQMxKe/HEFxmbZ1aUFRNV54fzuWzhuOhTOGQsw9bciEmInFcLOzhpvdhQPP1S4kr2lSoKZJcdFrroTUTAzz9kAklcBC1unjzo87BSeL8x63f9x+XK3WoKW1FTWNiu4DRktLWwhp1QWMppaWjvDR0qr3WPs5rWhuURns//tyObfdcWEjCOrrsgsq8OnPR3CutFZ3zEwswk3zwnD9jKGctXKNHdiehpq2O2NSmRlmLQkXuKKe409IIzB/6ShdqDmXX4mTR3MRMd5f4Kr6tkBfZ7z73Fz89s9JxOzPBAC0tqqxetMpHD9dhEduHwt3F1uBqyTquc6BZ6SPm965VrUaFfVNBmn5e7laWtVoaVWivllp8Oc2Fd217PbkHkXUT6ha1diw4zT+iklBq1qjO+7lMQCP3jEOfl5sBnCtqVStiFl3Qvd48pxhGOBgJWBFhsGfnkbA09cREeP9kHhYuzhu8+/HMXKcn8BV9X3mMgnuvSkSkcM98flvR1FZrZ2vm5FTjn+t2oa7lkRg+vjBvPVNfZaZWAxXO2u4dhN42vc4Ka9r7Dr9qtOUK900rO6mX7UdvxbhqLeJRaJOd4zMdNPx9O8omV10+p2dhYzBhfq1otJafPLzYd3m2AAgEgHzpwZj2YJwyLi2tVcc2ZOJirJ6AICZRIy5N40QtiAD4U9WI7HgllG6UJOXVY7TiWfhOodduXpDWLAH3n9hPr7/MwEHE/IAAAqlCl+vOYb4pEI8dOsYOAxge1PqX8QikS7w9JSqVa23FkXRaa1Jd6HoQmtVzl/PotZouv37zCVmXYKFXviQ6U9/s+huOlznKW5SCWQSM77BQXSV1GoNth/IxK//nNR1IQUAF0drPHL7WAwLdLvIZ5MhqVvV2PpHou7x+OlD4NhHZqYw1BgJ30BXhEZ6IyWhAID2bs3UOef3P6JrxcZKhsfvGo/RYYPwzZpjqG/UTo05kVqEp/+zBfcvi8K4kd4CV0lkmiRmYtiYyWBjYbhWoRqNBi2tajQpVbCytYNUYobGuhqYS8xgxjVxREZDXtWAL36LQ3JGid7xqWP9cdeSUbCyZIfF3hR/IBul52oAACKxCPOWRghckeEw1BiRBctG6UJNZkoxTp/IR8hIn0t8FhnSuJHeCPZ3wZerj+JEajEAoL5RiQ+/P4j4SF/ce1MkbEy4hztRXyESiSCTmEEmMYOLox0AoFzReInPIqLeotFocDAhD9/9mYDGphbdcTsbczx4yxiMDhskYHX9k1qtwZY1x3WPx0QHwG3gAAErMiy+nWVEgkI9EDR8oO7x2u8OCFhN/+UwwBLPPzQFDyyLgrmsI/cfTMjDM29vQVJ6sYDVERERGbfa+mZ8+P1BfPLzEb1AMzpsEP777/kMNAKJP5CJwryO9Ux96S4NwFBjdK67pWPKWeKRbGSePidgNf2XSCTCjAkBeO/5uRji56w7XlndhDc/24vv/0yAQtn77V6JiIiMWWLKOTzz9lYcPXlWd8zSQoLlt4/FM/83CQNMfC8UU6XRaPDHd/t1jyPG+2GQr5OAFRkeQ42RGTZyEPyCOhoE/Pn9QQGrIXcXW7z+xAzcunCEXs/8mP2ZePadbTiTJxewOiIiIuPQrGjBV7/HYdVX+1Bd26w7HhLohvdfmI8pY/zZbENAJ+NykHW6SPd4wS19b902Q42REYlEet9oR2PTUZhXIWBFJBaLsWjmMLz9zGx4D7TXHS8uq8NLH+7E2i1JUPWBlrVERERXIz27DP9atQ27D2frjkklYty1JAIvPzoNLo4976JIPbP2+44lDaGjvOAb2Pc67DLUGKHwMb4Y5Nux+dQfXx+G5gKtS6n3+A5ywNvPzMbCGUPR/maTWq3BupgUvPjf7SgsrhG2QCIiol7U0tKK3/45iVc/3oVSeb3uuJ+XA955di7mTw2GWMy7M0I7cSQXKcfzdY8X3BIpYDXXDkONERKLRVh4+2jd49OJZ3F0b5aAFVE7qdQMt18/Eq89PgOuTh3vPOWercJz727Dlr3pUKsZQImIqG/LP1eFf7+/Hf/sSkX7+65isQg3zAnFW0/PxiCPvtNVy5Q1NSjx62cda2mGjvBEUKiHgBVdOwZr6axUKrFhwwYcOnQIcrkcNjY2CA8Px9KlS+HkdOULkUpKSrBhwwYkJyejuroaFhYW8PDwQFRUFBYuXGioso3WqAn+GDUhAMcPnQEA/P7VQYSO8oItN4E0CkMDXPHe8/Pw8/pE3e32FpUaP/2diITkc3jk9rFw5u12IiLqY9RqNTbuTscfW5LQ2mnqtYerLR69YxwCfZ0v8tnU2/768Siq5A0AAInUDLc/Mlngiq4dg9ypUSqVWLlyJdatW4fm5mZERkbCyckJsbGxeO6551BSUnLpJ+nk2LFjePrpp7F3717Y2Nhg9OjR8PPzQ1lZGXbu3GmIko2eSCTCw8/Ph7mFdlOq+ppmrP3msMBVUWeWFlI8eMsYPPdgtF43l9NZpXj67a2IjcvhtEEiIuozSsrr8OrHu7F640m9QDNnchDefW4uA42ROZNagr2bU3SPb753Ejy8HASs6NoyyJ2a9evXIyMjA0FBQXjppZdgYaF9gbd582b8/PPP+OKLL/D6669f1nPl5eXho48+gqWlJf71r38hODhYd06tViM3N9cQJZsEt4H2uH35VHz3wQ4AwKFdGRg3fQiGjWR/d2MyKtQT//33PHzzRzzi2lpYNjW34PNfjyIhqRAPLIuCHVtYEhGRidJoNNh9OBs//Z2ot52Bo70lHr51LMKH9s3pTKZM1dKKnz6O1U0N9PJ3wY33TER1deXFP9GE9fhOjUqlQkxMDADgvvvu0wUaAFiwYAF8fHyQlpaGnJycy3q+H374ASqVCsuXL9cLNIC2C9XgwYN7WrJJuW7pGPgEuuge//y/WCgV3B/F2NjZWOCpeyfi0TvHwcpSqjt+LKkQT7+9FQnJhQJWR0REdHWqapqw6st9+HrNMb1AMzHSB++/MJ+Bxkht+/MEzuV3BJhHX1wAqdRMwIquvR6HmvT0dDQ0NMDNzQ1+fn5dzo8ZMwYAkJCQcMnnKiwsRFpaGjw8PDBqVN/rn301zCRi3L1iiq57SFlxLTb+Fi9wVdQdkUiEyaP98P4L8zA8yE13vKauGe9+vR9f/HZUb2dlIiIiY3b0RAGeeXsrTqR27G9iYyXDE/dMwON3TYCNlUzA6uhCis9WYdPvHa+7py4IwbAR3gJW1Dt6PP0sP1/bIq67QAMA/v7+etddTEqKdt5fWFgYlEolDh8+rLvD4+Pjg3HjxsHKyqqnJZscnwAXzFoSjph1JwEAMetOImpKILz9OXfVGDk7WOPFR6YhZn8mftt4Ei0trQCAvUdzkJJZisfuGo9gf5dLPAsREZEwGpta8N2f8TgQn6d3fOQwDzx061g4sGmR0dJoNPj5f/ugatGuebJ3ssYN94wVuKre0eNQI5drd1S/UIczR0dHvesu5uxZ7XoEmUyGZ599FkVFRXrnV69ejaeffhrDhg277PqeeuqpLsdkMhlWrVoFAHB2Nt5gIJFovzwuLi6474l5OHEkD6XnqqFWa/DbZwfx3g/36e1yTxfWeSx7y103uWLq+GH4z2fbkZFTBgAor2zAax/twp03jsHti0ab3NdPiHHsqziWhsOxNAyOo+GY8limZhXjzU+2o7isVnfMwlyCh++YjOumh0Ik6t19Z0x5LIWwfX0iMpI7Xj8vf34+fHwH9Ytx7PErqubmZgCAubl5t+fb19i0X3cxDQ3alnNbt25FfX09nnnmGfz444/46KOPMHHiRNTV1eG9995DVVVVT8s2ORaWUjzy7wW6x1mni7D5j2MCVkSXw9vTEZ++cTPuvnGMbgqhWqPBj38exZNv/IVSee0lnoGIiOjaa1Wr8ev6Y3js1T/1Ak1IkAe+fec2LJwxvNcDDV2ZKnk9fvi4o0vwuKnBGDdtqIAV9a4e36m5VMvaK2lpq1Zrb5W1trbiscceQ3h4OADAysoKjz/+OIqLi5GdnY3t27dj2bJll/WcH3zwwUXPy+Vyo227256my8vLAQCDBtth3PQgHNmdCQD45bPdCApzhbObrWA1morzx7K3zYsejADvAfjfT4dQVqEN78kZRbjvX7/iwVvGYOxI05jrKvQ49iUcS8PhWBoGx9FwTG0sK6sb8cnPR3A6q1R3TCQS4cY5oVgyOwRmZi2C/b+Y2lgK6Yv/bEdDnfYmgqWVDDf+3xjduJnCOIpEInh4XH3jiR7fqbG01M6rVCgU3Z5vP965K9qFtF/j6OioCzSdTZ06FQBw+vTpq6q1L1j2wATY2GnHSdGswi+f7jPaUEb6gvyc8e5zczEx0kd3rKGpBR98fxBfro5DM7vaERFRLzt26iyeeXurXqBxdrDC60/MwE3zhpvcNOn+6mRcHuL3Z+se33jfWDg49a9NwHv8ndq+JqWioqLb85WVlXrXXYyrqyuAC8/3az9eW9t/p+zYDrDEsgcm6B4nxxfg2L4zAlZEV8LKUobH75qAR+8YBwvzjhule45k47l3tyHnbN/tH09ERMZDoVThmz+O4f1vD6C+Uak7Pm6kN957fh4b2piQpkYlfvlkn+5xwDB3RM8NEbAiYfQ41Pj4aN91vtCmmJ27l12Kr68vAKC+vr7b83V1dQAu765PXzZuehBCIjo24Pz9y4Oor7v0miUyHpOj/PDuc3MR4NPRYKO4rA4v/ncHvv8zAdW1TQJWR0REfZVarcaB+Fw88/ZW7DzY8aaoucwMD906Bk/cMwHWbNVsUv7+MQ5Vcu3UdjOJGHd12gqkP+lxqAkODoaVlRVKS0u7DTZxcXEAgIiIiEs+1/Dhw2Fubo6SkpJuu6WlpqYCuHD76P5CJBLhjseiIWt7p7+2uglrvzkscFV0pdxdbPHGkzOxaOYwtK+9bG1VI2Z/Jh59bSN+++ck6hu6n9ZJRER0JTQaDY6dOot/rdqGT34+glJ5xxvIfl4OeOfZuZg2bjCbAZiY7LQS7NmUrHs8f2kEPH0cBaxIOD0ONRKJBHPmzAEAfP/993pdzjZv3oz8/HwEBwcjICBAdzwmJgZPPPEEVq9erfdc5ubmmDt3LlpbW/Htt9/qPdfJkyexb98+iEQizJgxo6dlmzxXjwFYdMdo3eODO9KRdpK71psaiZkYty4cgZcfmQZnh449mJQtrfhnVyoeeW0j1m1LRlMzN+0kIqIrp9FocDKtCP9+fzve//YAzhbX6M6JxSJcN30o3nxyFga62QlYJV0NVUsrfvw4Fu1Lqz28HTB/af/dvL7H3c8AYMmSJUhOTkZGRgZWrFiB4OBgyOVyZGVlwdbWFsuXL9e7vra2FkVFRd22Zr7xxhuRlpaGxMRErFixAgEBAaitrUVmZiY0Gg2WLVumF5D6s5mLwxEXewb5Z7SdLH76OBZvfLlMdweHTEfoEHd89PJ12HXoDNbvOI2atumETc0tWLs1Gdv2ZWLRzGGYPSkQMhm/vkREdGnp2WX4fXMS0s6U6R0XiYAJo3xw09zh8HBlmDFV29adwLm8jrW4dz0+BVKZmYAVCcsgr45kMhleffVVrF+/HgcPHkR8fDysra0RHR2NpUuXXtEGl+3PtXHjRhw4cAAnT56EVCpFaGgo5s+ff1nT2PoLMzMx7l4xBStXrINarUFZcS02/haPG+8dJ3RpdBVkUjPMmzIE08YNxrZ9Gdi4KxUNTdo7NHUNCvyy4QQ2703HDbNDMW2cPySS/vuDi4iILiynoBJrNp/CybTiLucihw/CsgVh8B5o3/uFkcGUFFZj0+rjusdT5ocgKPTq2yH3BSJNP+8HXFxcbLQtkS+3p/jabw4j5q+TALS3kl/59CZ4+19+kOwPTKE/+/kaGpXYtCcNW/ZmQKHUb/fs6mSNm+YOx6TRvhCLe6/dpimOo7HiWBoOx9IwOI6GI9RYFhbXYM2WJBw7dbbLubBgdyybH4YAX9N6fcDvy67Uag3ee+4fZCQXAQDsnazx5tfLYGVtfsHPMYVx7Ok+NZzH0gdcf8doJBzKgbykFmq1Bj99FIsXP1wCMXvLmzRrKxmWLQjH3Ogh2LDzNHYcyEKLSrtBbVlFAz779Sg27ErF0nlhiAr36pedToiICCiV1+PPrUk4kJCH89+nHeLnjGXXhSMk0E2Y4sjgDm5P0wUaALht+aSLBpr+gqGmDzC3kOKux6Px339vAgDkZpZh18ZkzFrcdQNTMj0DbC1w15JRWDB1KP7anoK9R7LRqtb+1jpXUosPvj8IPy8HLJsfjhHDPNi5hoion6isbsRf21Ow53DH74V2voMcsGxBGEYOG8jfC31ITWUj1n53RPc4YrwfRk3wF7Ai48FQ00eERHhh3PQgHNmdCQBY/1McIsb7w9nNVuDKyFCcHKzwwLIoLJw+FH9uS8bBTu/I5Z6twttfxmKIvwtuWRCGYXxHjoioz6qta8aGnanYfjALLS2teuc83exw8/wwjOEd/D5p9ZcH0Fiv3e7B0kqG2x6ZLHBFxoOhpg9Z9sAEJCcUoL6mGYpmFX75dB+eeGM+36HpY9xdbPHYneOxaOYw/LElWW/udEZOOV77327t3OkF4XqbexIRkWlrbFJi0550bNmbjmaF/lpLF0dr3DRvOCZF+sKM08/7pJNxeYjfn617fON9Y+HgZC1gRcaFoaYPsR1giVsemIBv3tsNAEiOL0Bc7BmMnRoocGV0LXh52OOZ/5uE7IIKrNmchFOdutwkpZcgKb0Eo8MGYel8drkhIjJlzQoVYvZl4J/daWhoVOqdc7CzxJLZIZg+fjC7YvZhTY1K/PLJPt3jwBAPRM8NEbAi48NQ08eMnRaEI3sykXJc++79718eROgoL9jYWQhcGV0rg72d8OLyqUg7U4Y1m08hLbujs0l8UiESkgsxYZQvbp43HO4unI5IRGQqWlpasfO8/cva2Vqb4/q2/cvMuX9Zn/f3j3GokjcAACRSMe5aEc3phefhv4I+RiQS4Y7HovHyg2ugVKhQV9OEP745jPueniZ0aXSNDQ1wxWsrZuBUejHWbEpCzlnthlwaDXAwIQ+HE/Mxdaw/bpgTCmcH3q4mIjJWra1q7DuWi3XbkiGvatQ7Z2khwXXThmLelGBYWUoFqpB6U3ZaCfZsStY9nr90FAZ6OwpYkXFiqOmDXNztsOiO0Vj7rbY7xqGd6Rg3LQjDRg4SuDK61kQiEUYMHYjwYA8cO1WIP7YkobCkBoC2r/3uw9nYfywXMycGYvGsEAyw5R08IiJjoVZrcDgxH39uTUZxeZ3eOZnUDHOig3D9jGGwZfvefkPV0oofP47VNQby8HbAvJu5EX13GGr6qJmLwxEXewb5Z7RTkX7+Xyze+HIZZOb8kvcHIpEIY0Z4YXSYJw4m5OPPbckoldcDAFpUamyNzcDuw9mYN2UIrps+FDZWMoErJiLqvzQaDY6nnMOazUkoKKrWO2dmJsbMCQFYPCsEDgMshSmQBLNt3Qmcy6vUPb7r8SmQyrh2qjt8hdtHmZmJcfeKKVi5Yh3Uag3Kimvxz2/xuOnecUKXRr1ILBZjcpQfxo/ywd4j2fhrewoqq5sAAAqlCut3nMaOA5m4bvpQzJsyBBbmnMpARNSbkjNK8PumUziTX6F3XCQSIXqMH26cEwpXJxuBqiMhlRRWY9Pq47rHU+aHICjUQ8CKjBtDTR/mE+iCWYvDEfPXSQDA9nUnMWZKILz9nYUtjHqdxEyMmRMDER3lhx0Hz2D9ztOoa+tz39DUgjWbk7A1NgOLZ4Vg5sRAyKR8F4iI6FrKzC3H75uScDqrtMu58RHeuHleGAa62QlQGRkDtVqDnz6OhaptHyJ7J2vceO9Ygasybgw1fdz1d4xGwqEcyEtqtf9APorFix8ugZg97PslmUyCBdOCMX38YGyNzcCmPWlobGoBANTWK/DT34nYvCcdN8wJxZSx/pDw+4SIyKDyCquwZvMpJJ4u6nJuVKgnls4Pg+8gBwEqI2NycHsaMpI7vkduWz4JVlxLdVEMNX2cuYUUdz0ejf/+exMAIDezDLs2JmPW4nCBKyMhWVpIccOcUMyeFIiNu9OwbV8GFErtu0EV1Y34es0x/LMrFTfPG44Jo3wgFjPcEBH1xLmSGqzdmowjJwq6nAsNcsOyBeEI8uNMCgJqKhux9rsjuscR4/0waoK/gBWZBoaafiAkwgvjpgfhyO5MAMD6n+IQMd4fzm7cs6S/s7E2x60LR2DelCFYv+M0dh46A5VKDQAoldfjk5+PYMPOVCydH4bRYeyeR0R0pcoq6rFuWwr2HcuFpr2FVZtAXycsWxCO4UPcBaqOjNHqLw+gsW2KuKWVDLc9MlngikwDQ00/seyBCUhOKEB9TTMUzSr88uk+PPHGfIhE3LiJAHs7S9xzYySumzYU62JSEBuXA7Va+8v3bHEN3v/2AAZ7O+LB2yYjMsxb4GqJiIxfRVUDvl0bj92Hs9HaqtY75zPQHksXhGFUqCd/D5Oek3F5iN+frXt8431j4eDEveUuB0NNP2E7wBK3PDAB37y3GwCQHF+AuNgzGDs1UODKyJg4O1rjoVvH4PoZQ7F2azIOJ+breuNnF1Ti2bc3IGyoJ2ZN8EdEyEBIJGwoQETUWWFJDf6MScPGnclQKFV65zxcbbF0XhjGjvTmbvDURVOjEr98sk/3ODDEA9FzQwSsyLQw1PQjY6cF4cieTKQcPwsA+P3Lgwgd5QUbO27ASPo8XO2w4u4JWDwrBGs2JyEhuVB3LintHJLSzsHGSobxET6YHOWLQF9nvttIRP1WdW0TDh3Px/74XOSerepy3tnBCjfOHY7oKD+YsQELXcDfP8ahSt4AAJBIxbhrRTTD7xVgqOlHRCIR7ngsGi8/uAZKhQp1NU3445vDuO/paUKXRkbKe6A9nn1gMrLy5FizOQnJGSW6c/WNSuw4mIUdB7Pg5myDSaN9MXm0H9xduFaLiPo+hVKF+KRC7D+Wi6SMEt2U3c4G2FrghtkhmD4+AFK2yqeLyE4rwZ5NybrH85eOwkBvRwErMj0MNf2Mi7sdFt0ZhbXfHAYAHNqZjnHTgjBsJBeB04UF+jrj5Uen4Vy5Apt2JeNAfDZa2nrnA9qmAuu2pWDdthQE+jph8mjthp+2bD9JRH2IWq3G6awy7D+Wi7hTZ9GsUHV7XaCvC2ZNHooxYe6wMOdLLbo4VUsrfvw4Vjfd28PbAfNujhC2KBPEf2n90MxFYYjbm4X8M+UAgJ//F4vXv1gKcwvuJk8XN2LYIIwYNgj5BUWIO1WA/cfykHqmFJ0b+mTlVSArrwI/rU9EVNggTB8fgJBAN95CJyKTJa9qwN4jOdh7NBvyqsZur3FysMKkSF9MGu2LiDDtetXy8vLeLJNM1Na1J3Aur1L3+O4VUyCV8c7elWKo6YfMzMS4e8UUrFyxDmq1BmXFtfj9q0O4e8UUoUsjE2FlKcXUsYMxdexgyKsacDAhHwfic3G2uEZ3jUqlxuHEAhxOLICbs03b9f5wGGApYOVERJdH1apGYso57D6cjZNpxV3aMQOApYUEY0d4Y3KUH4YOduWbN3TFcjJKsWl1gu7xlPkhCAzxELAi08VQ00/5BLpg7k0jseWPRADA/m2pGB7pzc2d6Io5O1hj0cxhuH7GUOQVVmF/fC4OJuSjpq5Zd02pvB5rNp/C2q1JiAgZiOnjAzBiqAcXzBKR0Skpr8OeI9mIjctBdW1zl/NisQgjhnpg8mg/RA73hEzGl1J0dZqbWvD1O7t0Lb+dXG1x471jBa7KdPFfYj92/e2jcTrxLPKytLfHf/xoL/yHuMLB2UbgysgUiUQi+Hk5ws/LEbddP7LbdzjVag0Sks8hIfkcHO0tdXdvXJ34PUdEwlG2tOLYqbPYfTgbp7NKu73GzdkG08YNRvQYPzgOsOrlCqkvWv3FAZQVaWc4iMQi3P/sdFhxLepVY6jpxyRSMzzw3Ey89shaKBUqNNQp8O37e/D0f67jLXTqEYmZGFHhXogK94K8qgGxR3Ow54j+XPTK6ib8FZOCv7enIGyIO6aPD0DkcE/ufUNEveZscTV2H87G/mO5qG9UdjkvkYgRFeaF6eMHc20gGVTCgWwc3JGuezx/aQSCQgcKWJHpY6jp59wH2ePWhyfix49iAQBpJwuxY/0pzLlhhKB1Ud/h7GCNG+cOx5LZIUjKKMHuw9lISCpEa1v7U40GOJVeglPpJbCzMUf0GH9MHzcYA93sBK6ciPqiZoUKR07kY/fhbGTmyru9xtPdDtPHBWBylC/sbLiXGxlWZXk9fvo4VvfYP9gNC2+LFK6gPoKhhjBp9lAkxxfg+KEcAMBfPxzF0HBP+AS4CFwZ9SVisRgjhg7EiKEDUV3bhP3HcrH7cDaKy+t019TWK7Bpdxo27U7D0ABXTB8/GGPDvThnnYh6LKegErsOn8Gh43loau7ailkmNcP4CB9MHz8YQX7cUJiuDXWrGt++vxsN9QoAgLmlFA88O4OzFAyArxQIIpEId62YgpyMUlTJG9CqUuPrd3bilU9uYptnuibs7SyxcMYwXDd9KNLOlGHX4WzEnSxAi0qtuybtTBnSzpThB8sETBrth+njB8PH00HAqonI1DQ2KXEwIR+7D59BbmFVt9f4eTlg+vgATBzlAytLWS9XSP3N9r9PIf3UOd3j2x6eBNeBAwSsqO9gqCEAgI2dBf7vmel4/4WN0GiA4rPVWPvtYdzxaLTQpVEfJhKJMCzQDcMC3VB/UyQOxGvv3hQUVeuuaWhqQcz+TMTsz0SAjxOmjRuMCaN8YMnATUTd0Gg0yMiVY/ehMzhyogDKThsFt7O0kGJSpC+mjR8Mfy/u2k69Iy+rDH//FKd7PHryYEyYOUTAivoWhhrSGTpiEGbfMAIx604CAPZuPo3hkT4YMdZX0Lqof7CxkmFu9BDMmRyE7PwK7DqcjUPH86FQdkwTOZNfgTP5Ffjp70RMGOWDGeMHY7CPE6eJEBFq65u101qPZONcSW231wzxc8b08QEYO9IbFuZ8CUS9R9Hc1r65bUaCg7M17nwsmr+/DIj/oknP4jvHIPVEIQqytYsnv/9wD974fCnsnawFroz6C5FIhABfZwT4OuOuJRE4dDwfe45k40x+he4ahVKFPUeysedINrwH2mP6+MGYNNoPNlacOkLUn6jVGpzOKsXuw2dwLKkQqk5TWNvZWptjcpQvpo0bDC8P+94vkgjAmq8OoaSwGgAgEgH3/2sGrG3ZhMKQGGpIj1Rmhgefn4nXH/0TSoUK9TXN+O6/e/DkmwvYypJ6naWFFDMmBGDGhADkn6vC7sPZOBCfi4amFt01BUXV+GHdcfy64QTGjPDGjPGDMTTAle9+EfVhVTVN2Hs0B3uPZqNUXt/tNcOD3DBt/GBEhXlBKuUibBJO4uEc7NuWqns896aRCA73FLCivomhhrrw8HLAsgcm4OdP9gEATieexe6NSZi5KFzgyqg/8/F0wL03ReL260fgaNsmeWlnynTnW1RqHEzIw8GEPHi42mJChA9Cg9wQ6OvMFzREJk6j0aCkvA6ns8qQePocEk8XQd3WFr4zezsLTBnjj2njBsPdxVaASon0VVU06LbNAADfQBcsuiNKuIL6MIYa6lb0vGFIis/HyaN5AIA/vzuC4DBPePk7C1sY9XsymQSTR/th8mg/FJXWYs+RbMTG5aC2rT0mABSX1WFdTArWxaRAKjXDED9nhAS6ISTIDQHejmydSWQCyirqcTqrFKczS3E6qwwV1Y3dXicSiTBymAemjw9ARMhAmJmJe7lSou6p1Rp89/5u1Nc2AwBk5hI88NxMSPhG2zXBUEPdEolEuPuJqXj14T9QU9UIVYsaX7+zCy//70bIuLiSjMRANzvcvmgkli0IQ0LyOew+ko2k9GJoOr2B29LSipTMUqRklgJbAHOZGYIHuyIk0A2hga7w83LkiyAiI1BR1YjTWaVIaQsy5ZUNF73exdEaU8f5Y+qYwXBysOqlKoku3871p5B6olD3+NaHJsJ9kL1wBfVxfHVKF2Rnb4n7npmGD17cDAA4l1+JP787gtuWTxK4MiJ9EokZxo70xtiR3iirqMfh4/lIySpFenZ5l3auCmUrTqUV41RaMQDtup2hg110d3J8Pe0hFjPkEF1r1bVN2jsxWWU4nVmqtxHvhQxyH4CQQFeMGu6JsCHu/LdKRqsgW46/fjyqezxqgj8mzRkqYEV9H0MNXVToKG/MWhyOHetPAQB2b0zG8EhvhEX5CFwZUfdcnWywaFYIFs0KgUrVijP5FW3v/JYhM7dcb4NPAGhqbkHi6SIkni4CAFhbyTAsoO1OTpAbBrkPYJMMIgOorW9G6pkypGSW4nRW6QXbLnfm4WrbdlfVDcMCXWFvZ9kLlRL1jKK5BV+9sxOqFu3vG3sna9y1Ygob2FxjDDV0STfcMwapJwtRmKttqfv9B3vw+hdLMYC3+8nISSTaqWbBg11x4xxA2dKKrDw5TrdNR8vKr0Brq37IaWhUIj6pEPFJ2ikDtjbmCOkUcga62fEXE9FlaGhUIvVMmW5dTH6nTXUvxNXJGqFB7ggJ1P6bc7Tn7xkyPWu/PYLigioA2vbN//fMdNjYsX3ztcZQQ5cklUnw4HMz8cbjf6JF2Yra6ib88MEerHhjPl/ckUmRSc2008wC3XDzfKBZoUJmbrnunePsgsouHZXq6hU4evIsjp48C0DbXan9OUKD3ODmbMN/B0TQ3vVMyy7D6awypGSWIK+wSm99W3ecHKx0d2JCgtzg4sg90ci0nYzLw97NKbrHs28YgWEjBwlYUf/BUEOXxdPXETf/33j89vkBAEBSfAH2bErB9IXDBa6M6OpZmEsQFuyBsGAPANoXZenZ5bqFyrmFVdCc96qsurYZh47n49DxfACAk70VQoL4ooz6n2aFChk55W3rYrp/U+B87W8KhAZp3xjgmwLUl9RUNuKHD/bqHnsPdsbiO8cIWFH/wlBDl23adaFIjs9HUnwBAGDtt4cRHOYJT19HgSsjMgxLCylGhgzEyJCBALTTZ9KyO9YA5J+r7vI5FdWN2H8sF/uP5QLQTp9pbzoQyukz1IcoW1qRmSvXTSfrbvrm+exszDGs/U5MoCunb1KfpVZr8N0He1BX0wSgvX3zDEhlbN/cWxhq6LKJRCLc+/Q0vPLQH6itbkKLshVfvbMTL398A6QyfitR32NtJUPk8EGIHK6dOtC+0Ll934zCkpoun1NW0YCyihzsPZoDAPBwsdUFHC50JlOiUrUiK69CdycmM1fepdHG+dhog/qr3RuTkZJQoHu89IHxGOjNN317E1+J0hWxs7fCvU9Pw0cvbwEAFOZW4K8f4rDswQkCV0Z07dnZWGDsCG+MHeENQNuSNjWrTDtdLasUxWVdW9IWl9ehuLwOuw6dAdDRknZcZCCGDxkIjUbDd67JKCiUKmTnl+PgsQycvkBL9PNZWkgxNMCl7U6MG3w8HRhiqN8pzK3An98d0T0eMdYXU+aFCFhR/8RQQ1csbLQPpi8cjt0bkwEAO9afQugoL4RGegtcGVHvsrezxPhRPhg/StvivLK6Ubce53RWKcoqum4eWFhSg8KSGmw/kAVA+6LQ3cUG7s628HC1hbuzLdxdbeHubIMBthYMPGRQCqUKpfJ6lJTXoaQtcJeUax9XVDde8vPNZRIEt+3rFBrkBr9BDty8lvq1FqWqrX2z9g2AAQ5WuPuJqfzZLQCGGroqN903DulJ53AurxIA8OWqnXju3evh5e8scGVEwnG0t8Lk0X6YPNoPAFBe2aBtH912J6eiquuLxqbmFuSerULu2aou5ywtJNqQ49L+nw082j5m4KELaQ8uxWV1KJHX6QJMSXn9ZQWXzqRSMwT7OSOkbWH/YB8nSBhiiAAAra1qfLVqp+61EADc98w02NlzmrEQDBZqlEolNmzYgEOHDkEul8PGxgbh4eFYunQpnJycLvt5HnnkEZSXl1/w/IcffghPT09DlEw9IDNvb/O8DqqWVjTWK/DfFzfhhfcXw83TXujyiIyCi6M1poz1x5Sx/tBoNCiV1+uaDqTnyFFR1fVOTmdNzSrkFlYht7Br4LEwl3SEHWebjrs8Lrawt2Pg6euaFSqUyrVBpbi8U3CR16Gyuumqn1cqMUOArxNCAl0RGuiGQF9nSKVc6Ex0PrVag+8/2IPEw7m6Y7MWhyN0FGetCMUgoUapVGLlypXIyMiAg4MDIiMjUV5ejtjYWCQmJuLNN9+Eu7v7FT1ndHR0t8etrNhJyFgM8nPCg8/PxBdvbYdarUFtVRPef2Ejnn9/MZxcbYUuj8ioiEQiXQiZMSEALi4uqKlrwun0vC7TgErK61DfqLzo8zUrVMgrrEJeN4HHXCbRu6vT/p8HA49JaVaodEGlpKwOJfKOAFNVc/XBxcxMDDcnG7i7tk17bPv+CAn2gauTLSorKwz4f0HU92g0Gqz+4gCO7M7UHRsxxhc33jdWwKrIIKFm/fr1yMjIQFBQEF566SVYWGh3Td28eTN+/vlnfPHFF3j99dev6DkfeeQRQ5RG19ioCf6456mp+O79PQCAirJ6XbAZ4MAASnQxA2wtEejrjEDfrtM26xsU+mFH3jGFqK5BcdHnVShVyD9X3W0L6vbA0x5y2u/0uLvawsHOkoGnlzUrWvTCbHG5NryUlNWhqvbqg4tE0hZcdNMW7XRrt5wdrSAWd51C5uIyoCf/K0T9xt8/xmHPpo4NNoPDPfHwi7MgkfCuppB6HGpUKhViYmIAAPfdd58u0ADAggULsG/fPqSlpSEnJwf+/v49/evICE2YEYzmxhbdxpyl52rw339vwnPvXg9rW4tLfDYRdcfG2hwB1uYI6C7wNCo7rZPQfzFcV9+TwGMGd2dbuOkCjw3cnGxgZSmDhbkE5jIJLMy1/3Fx+IVpNBoolK1oVrTo/mxWqFBZ06T7WpW2/Vld23zVf49EIoabc9sdOV2DCe3Xzdmh++BCRD2z5Y9EbPkjUffYP9gNj706l1tbGIEefwXS09PR0NAANzc3+Pn5dTk/ZswY5OfnIyEhgaGmD5u+cDiaGpX4+8c4ANr2hh+9vAVPv70QFpZSgasj6ltsrGQI8HFCgE/X9YoNjUqUyOs6LRLvuAtQe8nA04r8omrkF1VfsgapRNwp5Ei7hB79x9rzFpc4by4z69UX4hqNBi0qtS50NCtUUChVuo/PDyXNChWaO51XKFrQfN55hVL7n0ZjmBqlEjHcnDsaRXS+w+Zkb8ngQtSL9mxKwV8/HNU9HuTriCdWzoellUzAqqhdj0NNfn4+AHQbaADogkz7dZdr48aNKCkpgVQqhZeXF6KiomBnZ9ezYumamr80Ak2NSmxbewIAkJ1eik9e34on3pjPdzCIeom1lQyDvZ0w2Lv7wFMqr0dxea1e2CmR16Om7sruGLSo1GhRKS+59udKyaRmFwk9+qFIG5KkcHaWQ6VqRbm86rxQog0higuEkmaFChpDpY8ekErNtFMAOzd+aPvY0d6K+74QGYEjuzPw62f7dY9dBw7A0/9ZCBvOSDEaPX6lKZfLAeCCHc4cHR31rrtcv/76q97jn376Cffccw+mTZt2Rc/z1FNPdTkmk8mwatUqAICzs/G2IJZItF8eFxcXgSu5fA8/ex2gNsO2dQkAgLST5/DNu3vx7/duFjTYmOJYGiOOo+EIMZYuAHx9uj9X36hAUWkNCourUVRajXMl1SgsqUaZvA5NzdpQ0KK6+EaMhqBsaYWypfWSd5VMhUgEWJhLYWkhxQBbS3i622v/cxuAQR728HSzh7OjjVEEF/77NhyOpeEYw1ge2pWK7z7Yo3vs7GaHt7++G64e9oLVdKWMYRyvtR6/ymxu1r67Z25u3u359jU27dddyqhRoxAaGgp/f3/Y2dmhtLQUe/fuxdatW/Hll1/CxsYGUVFRPS2brhGRSISHnpuHpgYFYrdpN+dMOJiFd55fh+ffuQkStgYlMko2VuYI8nNFkJ/rBa9pUbWiubmlLeRo/9T+p0RTp8e6c52PNSvRpFB1fNx+vqkFaiO4WwJo22RbWkh1IcTSXKZ9bCGFZfuxzuctpLC0kOk+z9JC1uW8uUzC5gtEJuzI3nS89++/oG7V/pyyd7TGm1/caVKBpr/ocai51K37K721f++99+o99vLywp133omBAwfi66+/xm+//XZFoeaDDz646Hm5XG4U0w+6056mL7Zvj7G69ZHxqK2p1/Vvj9uXgTefWY0Hn58pSHcQUx5LY8JxNBxTHksRAEsZYCkTA3bmALp/U+tydF7Xcv76lfPXt5w/daz9fKtau7+KmVhz3hQ16QWmrHWd0ma49TwaAEqolErUKYE6AzxjbzHl70ljw7E0HCHH8mRcHj5bGYPWVjUAwNrWHE+8OR8yK7XJfW1N4XtSJBLBw8Pjqj+/x6HG0lK7a6pC0f1UgfbjnbuiXY1p06bhjz/+QHFxMcrKyuDqeuF3E0l4EokZHnphFj5/cztOxuUBAI4fzMG37+3G/c/OYOckIgKg/SUmk5pB1oO7uKbwy5qITEtSfD4+fzMGrSptoLGyMccz/1kIb3/jXbbQ3/X4lWX7mpSKiu4366qsrNS77mqJxWK4ubkBAKqqum42R8ZHIjXDwy/ORtjojt11j+07g+/e3w1127seRERERMYk5XgBPn0jBqoW7WsVSysZnn5rAXwC++56lL6gx6HGx0e76jQ3N7fb8zk5OXrX9URDQwOAnt/1od4jlZnhkZfnICTCS3fs6N4sfP/hXgYbIiIiMippJwvxyevboGrRNkaxsJLiqbcWwG+Im8CV0aX0ONQEBwfDysoKpaWl3QabuDjtviURERE9+nvOnj2LoqIimJubw9PTs0fPRb1LKpPgsVfnYuiIQbpjh3dl4MePY6FWG+d6JiIiIupfMpLO4eNXt6JFqQ005hYSPLlyAQYPdRe4MrocPQ41EokEc+bMAQB8//33el3ONm/ejPz8fAQHByMgIEB3PCYmBk888QRWr16t91wnT57U3dnpLD8/Hx988AE0Gg2mTZuma0tHpkNmLsHjr81FcNhA3bGDO9Lx66f7jLZRAxEREfUPmSnF+OiVLVAqVAC0r1ueWLkAgSFXv3CdepdB0sGSJUuQnJyMjIwMrFixAsHBwZDL5cjKyoKtrS2WL1+ud31tbS2Kioq6rI3JzMzEunXr4OLiAjc3N9jZ2aGsrAy5ublobW3FsGHDcOuttxqiZBKAuYUUj78+Hx++tBlZp4sBALFbUyE2E+O25ZPY9pSIiIh63ZnUEnz48mYomjsCzYo35mPI8IGX+EwyJgYJNTKZDK+++irWr1+PgwcPIj4+HtbW1oiOjsbSpUsvu0nAiBEjUFFRgezsbOTn56OxsRGWlpYIDg7GxIkTMXXqVAO13CShWFhK8cTK+fjgxU3ITisFAOzZlAKxmRi3PDiBwYaIiIh6TU5GKT58aTMUTS0AtE2OHnt1LoaGc6mDqRFp+vncn+LiYqOd/tSX25Q2NSjx/r83IjejTHds9g3huPn/xl+TYNOXx7I3cRwNh2NpOBxLw+A4Gg7H0nCu5VjmZZXhvec3oqlBCQCQSMV47NV5GB7pfYnPND2m8D3Z031qeNuDBGFpLcPTb12n1x5x+1+n8NcPR402ZBIREVHfUJAtx39f2KQLNGYSMR55aU6fDDT9BUMNCcbKxhxP/+c6eA/umJ64de0JbPglXsCqiIiIqC8rzK3A+y9sREO9doN4MzMxlr84G+FjfIUtjHqEoYYEZWNrgWfeXohBvo66Y5tWJ2Djbww2REREZFjn8ivx3vMbUV+r7dYrFovw4AszMXKcn8CVUU8x1JDgbOws8Myq6+Hp0xFsNvwSjy1rjgtYFREREfUlxWer8N7z/6CupgkAIBKL8MBzMxA5cbDAlZEhMNSQUbCzt8QzqxbCw8ted+yvH+Ow7c8TwhVFREREfULpuWq8+9w/qK3qCDT3/2s6oqIDBa6MDIWhhozGAAcr/GvV9XDztNcd+/O7I9jx9ynhiiIiIiKTVlZUg3ef+wc1lY0AAJEIuPepqRg7NUjgysiQGGrIqNg7WePZdxbC1cNOd2zN14ewe2OygFURERGRKSovqcW7z/2DKnmD7tjdT0zFhBnBAlZF1wJDDRkdB2cbPPvu9XB27wg2v31+AHu3pAhYFREREZkSeWkd3nvuH1SW1+uO3fl4NCbNHipgVXStMNSQUXJ0scWzqxbCydVGd+yXT/Zj/7ZUAasiIiIiU1BZXo/3nv8H8tI63bHbH5mMKfNCBKyKriWGGjJazu52+Nc718PB2Vp37Kf/xeLgjnQBqyIiIiJjVlXRgHef+wflxbW6Y7c8NBHTrgsVsCq61hhqyKi5egzAs+8ugr2TNthoNMAPH+7Bkd0ZAldGRERExqamshHvPvsPyopqdMduvn88Zi4KE7Aq6g0MNWT03AYOwL9WLcQABysA2mDz7X/3IC42S+DKiIiIyFjUVjfi3ef/Qem5at2xG+8dizk3jBCsJuo9DDVkEjy8HPDMqoWws7cEAGjUGnzz7i7E7z8jcGVEREQktLqaJrz3/EYUF1Tpji2+Mwrzbo4QsCrqTQw1ZDI8fRzxzKqFsBlgAQBQqzX4+p1dOH4oR+DKiIiISCj1dc14/4WNOJdXqTu28LZIXHdrpIBVUW9jqCGTMsjXCc+8vRDWtuYAgNZWNb58ewdOHs0TtjAiIiLqdQ11zfjvC5twNqdCd2z+sghcf/toAasiITDUkMnx9nfGM/9ZCCubtmCjUuPzt2KQFJ8vcGVERETUWxobFPjgxc3IP1OuOzb3ppFYctcYiEQiASsjITDUkEnyCXTB0/+5DpbWMgCAqkWNT9+IQcrxAoErIyIiomutqUGJD1/cjNzMMt2xWYvDceO9Yxlo+imGGjJZfkGueOqt62BhJQUAqFpa8cnr25B6olDgyoiIiOhaaW5qwYcvb0Z2eqnu2PSFw7H0gfEMNP0YQw2ZtMHBbnjqzQUwt9QGmxZlK/732lZkJJ0TuDIiIiIyNEVzCz56ZQvOpJbojk1dEIJbH57IQNPPMdSQyQsY5oEnV86HzFwCAFAqVPjolS3ITCkSuDIiIiIyFEVzCz5+dSsykzt+v0+eMxS3LZ/MQEMMNdQ3BIUOxBNvdAQbRbMKH760GRnJDDZERESmrj3QpJ/qmIkxYWYw7nx8CsRiBhpiqKE+JDjcE4+9OhdSmRmAjmCTdpJrbIiIiExVY4MCH768RS/QjJsehHueYKChDgw11KeERHjh8dfm6YJN+1S0xCPZAldGREREV6qxXoHXHvtNb8rZuGlBuPepaRCb8WUsdeB3A/U5IRFeelPRWpStePOp35FwMEvgyoiIiOhyNdYr8MojvyDt1FndsQkzg3Hf09NgxkBD5+F3BPVJQ0cMwpNvLoC5RUewWfnU79i0OgHqVrXA1REREdHF5GSU4o3H/kRGSseUs8lzh+GeJ6fyDg11i98V1GcNGT5Qbx8bdasG638+hnef+wcVZXUCV0dERETnU7eqseWPRLz91HqUFdfqjk9dEIo7H4vmGhq6IIYa6tMCQzzwr1XXw3Wgve5YZkoxXl2+FgkHuM6GiIjIWFTJ6/H+vzfhrx+OorVtVoVYLMItD0Tj9kcmMdDQRTHUUJ/nF+SK/61+EJNnh+qONdYr8Plb2/HDh3uhaG4RsDoiIiJKPJyDVx7+Q6/DmaOLDd766i7c+uAU7kNDlyQRugCi3mBta4Fn3lqCwOGu+PWzA1A0aYPMge1pyEwpxkPPz4RPoIvAVRIREfUviuYW/PH1IcRuTdU7HjlxMO5aEQ1ffy+BKiNTw1BD/YZIJMKEGcEIGOaBr1ftRG5mGQCg9Fw13nzyL9xw9xjMWjKCt7eJiIh6QUGOHF+t2onigirdMZm5BLctn4SJs4J5d4auCKefUb/jNnAAXvhgMeYvjUD7z8tWlRprvz2CD1/ahOqKBmELJCIi6sM0Gg12bjiFN1es0ws0PgEuePXTmzBp9lAGGrpiDDXUL0kkZrjhnrF4ZtX1cHC21h0/nViIV5b/gZNxecIVR0RE1EfVVDXio1e24PcvD0HV0rHFwpwbR+DFD5fAw8tBwOrIlDHUUL82NNwTr3++FCPH++mO1dc043+vbsVvnx+AUqESsDoiIqK+IzmhAK8+/AeS4wt0xwY4WOHp/1yHm/9vPCRSMwGrI1PHNTXU79nYWeDRl+dg37ZUrPnqkC7I7N6YjPSkc3jw+ZkY5OskcJVERESmqUXZinU/HMHO9Ul6x8PH+OCeJ6fBzt5SoMqoL+GdGiJomwhMmReCVz65EV7+HQHmXF4lVj6+Dns2pUCj0QhYIRERkekpKqjEm0+s0ws0EqkZbls+CY+/No+BhgyGoYaok4Hejnjpoxswc3GY7liLshW/frYfn7y2DXU1TQJWR0REZBo0Gg1it57GG4+tw9mcCt1xT19HvPLJjZi+cDibAZBBMdQQnUcqk+CWByfiiZXz9d5BOhmXh1ce/gOnE88KWB0REZFxq69txmcrY/Dz//bprU2dvnA4Xv74Rk7ppmuCoYboAsJG++D1L5YiNNJbd6ymshH//fcmrP32MFQtrQJWR0REZHzSTp3Dq8v/QOLhXN0xmwEWePz1ebht+STIzLmcm64NfmcRXcQABys88cZ87N6YhD+/O6JrPxmz7iTSTp3Dg8/NhPsge2GLJCIiEphK1Yp/fonH1rWJ6LwENSRiEO57ejrsnawv/MlEBsA7NUSXIBaLMHNROF76+EZ4eHf0z8/PKsdrj6zFge1pbCJARET9VllRDd5+ej22/NERaMwkYtx8/3g8+eZ1DDTUKxhqiC6Tt78zXvnfjZgyP0R3TKlQ4YcP9+LLt3egoa5ZwOqIiIh6l0ajweFdGXj1kbXIzSjTHXfztMdLH96AOTeMgFjMZgDUOzj9jOgKmFtIcedj0Qgd5YUfPtyLhjoFACB+fzZy0ktx/7MzEBQ6UOAqiYiIrq3GBgV+/XQ/ju7N0js+afZQ3PLQRFhYSgWqjPorhhqiqxAx3h9+Qa745r3dSD91DgBQUVaPd579B9fdMgrX3RoJMzPeCCUior7nTGoJvn5nJ+SldbpjVjbmuOvxaIyeHCBgZdSf8VUX0VVycLbBM/+5DjfcM1YXYDRqDTb+loBVz6xHeUmtwBUSEREZjrpVrfsd1znQBIV64PXPb2agIUEx1BD1gNhMjPlLI/DCB4vh6mGnO56dVorXlq/tclueiIjIFFWU1eHd5/7Bhl+OQa3WdgMQi0VYfGcUnn3neji52gpcIfV3Bpt+plQqsWHDBhw6dAhyuRw2NjYIDw/H0qVL4eR09ZssFRcX45lnnkFLSwvCw8Px4osvGqpkIoPxH+KGVz+7Gas/P4BDuzIAAE2NSnz9zk6kHC/AbcsnwdJKJnCVREREVy5+/xn89L99aKxX6I45u9nigedmImCYu4CVEXUwSKhRKpVYuXIlMjIy4ODggMjISJSXlyM2NhaJiYl488034e5+dd/0X3/9NVQq1aUvJBKYpZUM9z0zHSGjvPHLJ/vQ1KgEABzelYEzp4vxwPMz4T/ETeAqiYiILo+iuQW/fX4AB3ek6x0fOzUQtz86GVbW5gJVRtSVQaafrV+/HhkZGQgKCsLHH3+MJ598Ev/5z39w5513ora2Fl988cVVPe+ePXtw+vRpTJ8+3RBlEvWKsVMD8frnN+u9e1VWXIu3n9L28Fe3qgWsjoiI6NK0e7H9qRdozC2luP9f0/HAczMZaMjo9DjUqFQqxMTEAADuu+8+WFhY6M4tWLAAPj4+SEtLQ05OzhU9b01NDX755RcMHz4cEyZM6GmZRL3K2d0Oz723CAtvi4SorUd/a6saf/1wFO//exOq5PUCV0hERNSVWq1BzLoTePPJv1B6rlp33G+IK17/7GaMmz5EuOKILqLHoSY9PR0NDQ1wc3ODn59fl/NjxowBACQkJFzR8/7www9QKpW4//77e1oikSDMzMRYdEcUnnt3EZxcbXTH00+dwysP/4HEw1cW9ImIiK6l6ooGfPjSJqz99ghaVdpZBSIRMH9ZBF7472K4DhwgcIVEF9bjUJOfnw8A3QYaAPD399e77nIkJibi8OHDWLx48VWvxSEyFtpWl0sxevJg3bGGOgU+fSMGP/8vFormFgGrIyIiAk4ezcMry//A6cRC3TEHZ2v8a9X1uOHusZBIzASsjujSetwoQC6XA8AFO5w5OjrqXXcpzc3N+O677zBw4EAsWrSop+Xhqaee6nJMJpNh1apVAABnZ+ce/x3XikSi/fK4uLgIXInpE3wsXYCXP7gNuzedxFfvbkNzkzbIxG5NRWZKCZ5euQRBoZ7C1HYFBB/HPoRjaTgcS8PgOBqOKY1lU6MS332wHdvXJ+odHzdtKB576TrYDrAUqDItUxpLY9YfxrHHd2qam5sBAObm3S8Ya19j037dpaxZswbl5eX4v//7P90XgKgvEIlEmLFwJD767UEEDPXQHS8qqMS/7v0Ov3+9T3e7n4iI6FpLTy7Eilu/0gs0MnMJHn1xAV549ybBAw3RlehxatBoND0631l2djZiYmIwefJkhIaG9rQ0AMAHH3xw0fNyufyKauxN7Wm6vLxc4EpMnzGNpcwKePbdhfjn13hsXZsIjQZQt2qw+qtYHN2XhlsemojBwcbZ+tmYxtHUcSwNh2NpGBxHwzH2sWyoa8bWtScQ89dJaNQdr4F8Al3wwLMz4OHlcNkzbK41Yx9LU2EK4ygSieDh4XHpCy+gx6HG0lKb4hUKRbfn24937orWndbWVnz11VewsrLCnXfe2dOyiIyaRGqGG+4Zi+GjvfHNu7tRUVYHAMhJL8VbT/yFsCgfLL4jCj6Bffc2MRER9a7GBgV2rk/Cjr9P6fZSAwCRWIT5N0dg4W2RkEi5doZMU49DTfualIqKim7PV1ZW6l13IRUVFcjLy4O9vX2XuysNDQ0AgDNnzuC1116DhYUFnn/++Z6WTiS4oNCBeOOLpVj9xQEc2pWhO550LB9Jx/IxcrwfFt0+Gl7+xrv2i4iIjFtzUwt2/5OEmHUn0VCv/ya0s7sd7v/XdASGXP075ETGoMehxsfHBwCQm5vb7fn2/Wnar7uU6upqVFdXd3uuoaEBqampsLKyuvJCiYyUpbUM9z0zHWOnBeHvn+KQm1GmO3ficC5OHM7F6MmDcf3tozHQ21HASomIyJQomluwd8tpbFt7AnU1TXrnLK1lmL1kBGYtCYeFpVSgCokMp8ehJjg4GFZWVigtLUVubm6X1s5xcXEAgIiIiIs+j6urK9auXdvtudOnT+P1119HeHg4XnzxxZ6WTGSUQiK8MGzkIJw6lo8NPx9DQXbHfOb4/dlIOJiDsVMCsfD20XDjXgFERHQBLUoV9m1LxZY1iaipatQ7Z2ElxcxF4Zi9JBxWNt03eSIyRT0ONRKJBHPmzMHff/+N77//Hi+++KJu/czmzZuRn5+P4OBgBAQE6D4nJiYGMTExiIqKwq233trTEoj6DJFIhBFjfBEe5YPEQznY8Gs8zuVpp3Bq1Boc2ZOJuNgsjJ8xBAtvjYSzu53AFRMRkbFQtbTi4I50bPo9AVXyBr1zMnMJpl8/HHNvHAkbu4uvcyYyRQbpmbxkyRIkJycjIyMDK1asQHBwMORyObKysmBra4vly5frXV9bW4uioiJUVVUZ4q8n6nNEIhFGTRyMkeP9Eb//DP75NR4lhdUAALVag4M70nFkdyYmzRmKBctGwdHFRtiCiYhIMK2tahzenYFNvyVAXlqnd04qM8PU+aGYe/NIDHDg9H3quwwSamQyGV599VWsX78eBw8eRHx8PKytrREdHY2lS5ca9QaXRMZMLBZhzJRARE4ajLi9Wdj4WzzKimsBaH+JxW45jYM70hA9NwTzl0bA3sla4IqJiKi3qFvViIvNwj+/JaCsqEbvnEQqxuQ5wzB/2Sg48HcD9QMijbFu0tJLiouLuU9NP9BXxlKlasXhXRnYtPq4rg10O5m5BFMXhGDuTRGws782G6b1lXE0BhxLw+FYGgbH0XCu9Viq1RokHMzGP7/Go7hAf9aLmZkYE2cFY8Eto+DkantN/v7exO9LwzCFcRR8nxoi6j0SiRkmzxmG8dOH4MD2NGxec1w3b1qpUGH7X6cQu+U0Zlwfhtk3joCNLedNExH1FRqNBieO5GLDL/EozNXfSkMkFmH89CG47tZRcPVgMxnqfxhqiEyQRGqGqQtCMXFWMGK3nsaWPxJRW6Vt16loVmHLH4nYsykFMxeHYdaScFhZs8MNEZGp0mg0SI4vwPpfjiE/S/+ddpEIGDMlEAtvGw33QfbCFEhkBBhqiEyYVCbBzEXhmDxnGPZuTsHWP0+gvqYZANDUqMTG3xKw659kzL4hHDOuD4OllUzgiomI6HJpNBqknijEhp+PITu9tMv5yInaPcw8fbmHGRFDDVEfYG4hxZwbRyJ6Xgh2b0zG9k67RjfWK7D+p2PYuSEJc28ciWnXhcLcghutEREZs4ykc1j/Szwyk4u6nBs5zg/X3zEa3v5sxETUjqGGqA+xtJJhwbJRmHZdKHb8fQo71yehqVEJAKivacaf3x3B9r9PYv7SCEyZFwKpjD8CiIiMyZnUEqz/+RjSThZ2OTd8tDcW3REFvyBXASojMm58RUPUB1lZm2PRHVGYsSgM29edxK5/kqBoVgEAaqua8PuXhxCz7iQWLBuFSbOHQiI1E7hiIqL+LTezDBt+OYbk+IIu54aOGITFd45GwLCr7wxF1Ncx1BD1YTa2FrjhnrGYuTgcMX+ewJ7NKVAqtOGmSt6AXz7dj61rE3HdLZEYP3MIJBKGGyKi3lSQI8c/v8TjxJHcLueCQj2w+M4oDAnzFKAyItPCUEPUD9jZW+Lm+8dj1pJwbF2biNitp6FqUQMAKsrq8ePHsdpwc1skxk0NgthMLHDFRER927n8SvzzazwSDmR3Oecf7IbFd0Zh2MhBEIlEAlRHZHoYaoj6EXsna9z68CTMuXEkNq85jgPb09Cq0oabsuJafPf+HmxZk4jrbx+N0ZMDIBbzlykRkSGVFFZj42/xiIvNwvl7f/sEuGDRHaMRFuXDMEN0hRhqiPohRxcb3PlYNObdNBIbVyfg8K4MqNXa364lhdX4atVObF5zHItuH42ICf785UpE1EPlJbXY+FsCjuzu+HnbbpCvIxbdGYWR4/z485boKjHUEPVjzu52uPepaZi/bBQ2/hqPo3szde8cnsurxGdvbof3YGcsujMK4VE+whZLRGSCKsvrsGn1cRzckY7WVrXeOQ8ve1x/RxQiJw7mnXGiHmKoISK4DRyA+5+dgfnLIvDPr/GI398xx7sgW47/vboV/sFuuOvRmRg51l/ASomITENleR1++/wA9m3rWMPYznXgAFx/WyTGTAnkGkYiA2GoISKdgd6OePjfs3HdLRXY8MsxJB7u6MaTk16KVx/9FcNGeGPyvGCER/lwE08iok40Gg0Kzsix/scEbF+fqOs22c7ZzRbX3RqJ8TOGwIxhhsigGGqIqItBfk549JW5yM8qx/pfjiHpWL7uXOrJAqSeLIC5hQQjxvohKjoAoaO8IZWxHTQR9U9FBZU4tu8M4mLPoPRcdZfzDs7WuO6WSEycFcx9wYiuEYYaIrogn0AXPPHGfGSnlWDDL8dwOrFjh2tFswpxsVmIi82ClY05Isb7YcyUQASHe/IdSCLq88pLanEsNgtx+86gMLei22sGOFhh/rIIRM8dBqmML7mIriX+CyOiSxo81B1P/2chygqbsGNDIo7sSUNTo1J3vrFegYM70nFwRzrs7C0ROWkwoqIDETDMnYtfiajPqKpoQPz+Mzi27wxy0ksveN3QcC9EzxmO8HGenKZL1EsYaojosoWM9EbISG8sfWAMkhMKcGzfGZw8mqc3b7y2ugl7NqVgz6YUODhbIyo6AFHRgfANdGGrUiIyOXU1TTh+MAfH9mUhI7moy94y7XwCXBAVHYDRkwMwNFTbUKW8vLwXKyXq3xhqiOiKSWUSRIz3R8R4fzQ3teDk0Twc25eF5IQC3WaeAFAlb8D2v05h+1+n4DpwAKKiAzAmOhCevo4CVk9EdHGNDQqcOJyLuH1nkJp4tsu+Mu08vB0wJjoQUdEBcB9k37tFEpEehhoi6hELSynGTg3E2KmBaKhrRuLhXBzbl4XUk+eg6fRCoKyoBpt/P47Nvx/HIF9HRE0JRNTkALgOHCBg9UREGQX7zQAALD1JREFUWormFpw6lo9jsVlIii+AqqW12+uc3e0wJjoAUdEBGOTnxDvQREaCoYaIDMba1gKTZg/FpNlDUVPViOMHcxAXm4Ws08V61xXmVaLwxzj8/WMc/Ia4YuzUIIyZEgA7eyuBKiei/qi1VY3UE4U4uicTiYdzoGhWdXvdAEcr3VRa/yGuDDJERoihhoiuiQEOVph2XSimXReKyvI6HNufjbjYLORn6c8xz80oQ25GGf74+hBCRnlh3LQgjBznx8W1RHRNaDQa5GWW4cjeLByLzUJtdVO319nYWSByoj/GTAlEYIgHN8kkMnIMNUR0zTm62GLODSMw54YRKD1X3bafQxaKCqp016jVGiTHFyA5XrsHTsR4f4ybFoShIwexRTQR9VhZcQ2O7snCkT2Z3e4lAwAWVlJEjNcGmaEjPCGRcE8ZIlPBUENEvcrN0x7X3RqJ626NxNkcOY7uzcLRvZmokjforlE0q3BkTyaO7MmEnYMloqIDMW5aEDuoEdEVqatpQvz+bBzZk4HstO5bMJtJxAiL8sG4qUEIH+PD/WSITBT/5RKRYLz8neHl74wb7hmLzOQiHNmTiYQD2Xp74NRWNWHXhiTs2pAE90H2GDs1CGOnBcLVgw0GiKgrRXMLTsXl4cieTKQknEVrq7rb64JCPTB2WhAiJw2Gja1FL1dJRIbGUENEghOLRQgO90RwuCduf2QSTh3Lx5E9mUg6lq/XIrqksBobfjmGDb8cQ8Awd4ydGoTRkwfDdoClgNUTkdDUrWqknTqHo3uzcPxQNpobW7q9zsPbAeOnBWHMlEA4u9v1cpVEdC0x1BCRUZHKJIicOBiREwejvq4ZCQeycXRPJjJT9DuonUktwZnUEvz+5UEMj/TG2OlBGDHGFzJz/lgj6g80Gg0KsuU4ujcTR/dmoaaysdvrBjhatbWdD4L3YGdOYSXqo/jbn4iMlo2tBabMC8GUeSGQl9QiLjYLh/dkorhTg4HWVjVOxuXhZFweLKykGDVhMMZNC0Jw2EB2KyLqg+SldYjbq11z17nZSGftPwvGTg3E0HBP/iwg6gcYaojIJDi722H+slGYtzTigu/ONje24NDOdBzamQ5LKxkGD3NHYIg7gkI84BvkyjbRRCZGo9Gg9FwNsk4X6/4rPVfT7bVmZmLtXdtpgQgf48t/70T9DEMNEZkUkUgEnwAX+AS44KZ7x2nn0e/JRMKhHCiaOubRNzUqkZJQgJSEAgDaDkc+AS4IDHFHYIgHAoZ5wM6ea3GIjImqpRX52XJdgDlzugR1Nd3vI9OO6+uICGCoISITJjYTIyTCCyERXrj90ckX7XjUqlIjJ70UOeml2P7XKQCA+yB7bcBpu5vjOnAA59sT9aLGBgWy00qRlVKMM6nFyMkog1KhuuTn6TohTg2E60B2QiQihhoi6iPMLaSIig5EVHQgmptakJtR2vFub1qp3l2cdiWF1SgprMaB7WkAADt7SwSGeLT95w6vwc7cfI/IgCrL65B1ukT3b7MwtwIazaU/z9PXsdO/TQ84udrwDQgi0sNQQ0R9joWlFENHDMLQEYMAaJsJFOZUILPTvPzuOiXVVjfh+KEcHD+UAwCQmUvgH+ymCzmDg91haS3r1f8XIlOlVmtQlF+ptx6moqz+kp8nkZrBf4irLsAMHuoGa+4jQ0SXwFBDRH2emZkYPoEu8Al0wcxFYdBoNJCX1iErpePFVnddlJQKFdJPnUP6qXMAAJFYBC8/J13ICQzxgIOzTW//7xAZJaVChdzMso47pKklaGpQXvLzrG3N9e6Q+gS4QirjHVIiujIMNUTU74hEIri428HF3Q7jZwwBANTXNuNMWtu0mJRi5GWVQdWivy5Ho9bui1GQLcfujckAAGc3W90LsoAQdwz0doRYzGkx1PfV1TThTGqJ9s2B1GLkZZXrbZZ7IS4ednohxn2QA//NEFGPMdQQEQGwsbPAiDG+GDHGFwDQolQhN7Nc965zdmoJGuoVXT5PXloHeWkdjuzJBABY2ZgjYJi77kWbX5ALpDL+qCXTptFoUFZcizOdppIVn62+5OeJxCJ4D3ZGYIgHgkI8EDDMHfZO1te+YCLqd/ibloioG1KZBEGhHggK9QCgXR9QXFCltz5AXlrX5fMa6xVIOpaPpGP5AACJVAzfwI71AQHD3GFjx/UBZNxaW9Uo6NRaOet0MWqrLt5aGQDMLSTwD3bXTc/0D3aDpRXXoRHRtcdQQ0R0GcRiETx9HeHp64gp80MAAJXl9TiTWqzr5nQ2twIatX4rJ1WLGmdSS3AmtQTb/jwBABjo7YDho/wQGOIJSxsRnN3t4OhiAzPuek69TKPRoKFOgfKSWmScLEN+dhlOxWcjJ70UiuZLt1Ye4GClDeyh2hDj5e/M72MiEgRDDRHRVXJ0sdG1kQaApgYlstNLdCEnJ7202z03igqqUFRQhe3rE3XHxGIRHF1s4OxuB2c3W7i428HZ3Q4u7rZwdrPDAEcrtrClq6JobkF5SS3kJXXaP0v1P25u7Nru/EI8vB0Q2Gl6pYuHHb8vicgoMNQQERmIpbUMoaO8ETrKGwCgUrXibLZcb1+O2urup/Co1Rrd+pzuSGVmemHH2d0OLm62bcHHDlY25tfs/4uMm6qlFRXl9ZCX1LaFl1rIS+t0Qaau5tLTxrpjJhHDN9BFb+qk7QBLA1dPRGQYDDVERNeIRGIGvyFu8BvihllLwrWLrYtqkHm6GIXZ1SjMk6PobEW3e+acr0XZiuKz1RdcnG1lY94p9Gjv7nT+WGbOH/emSq3WoKayAeUldW2BpVbv40p5Q5dpj1fK3FIKD08HuHk6YJCfPQJCPOAX5MrvGyIyGfxpRUTUS0QiEdw87eHmaQ8XFxcAQHl5OZQKFSrKOt5Zl5fUory04+Puuq6dr7FegYJ6BQqy5d2eH+BgBWf3ttDjZqf72MXdDg5czyOozuta9O+yaMNLRVkdVC2tPfo7zCRiOLna6qYz6qY2tn0/2A6wgKurKwDt9yQRkalhqCEiEpjMXAIPLwd4eDl0e76xQdGxBqLTi97yklpUlNZ1u27nfDVVjaipakR2WmmXc2KxCI56L3g7wo+Tqw0srGQwN5dAzOBzxTQaDVqUrVA0t6C2qkn3devJupbuiESAvZN1x/TE89Zl2Tta8+tHRH0aQw0RkZGzsjaH92BzeA927nJOo9HoXixrpyW13eFpm6JUWVYH9SWmJqnVGm1YKqkFcO6C10mkZjA3l0BmIYG5hRQy885/dn9MZiGBubkUMgup9rHuuFT/OnMJJJLe30VerdagRamCorkFymYVFM0qKBUtbX9qj3f+WP/Pjo+VzS1QKFRtz6F/naZnM8N0bAZYwKUtdGrXVHUEUEcXW0hlvT9+RETGgqGGiMiEiUQiDHC0wgBHKwQMc+9yvrVVjaryepSX1nW7kPxy1vO0U7W0QtXSelnT4a6GmUSsC0UdAUja5ZjMQtoRrsylcHS2R6tKjQp51UWCSOfg0RFALucuV28xt5DohZX2JhDObQ0huN8LEdGFGSzUKJVKbNiwAYcOHYJcLoeNjQ3Cw8OxdOlSODk5XdZztLa24q+//kJ2djbOnTuH2tpatLa2wsnJCWFhYVi0aBGcnbu+U0lERN0zMxPruqUh3LPL+Yut5ykvqUXjNQow3WlVqdGkUqKpQdlrf2dvupx1LWyPTER0dQwSapRKJVauXImMjAw4ODggMjIS5eXliI2NRWJiIt588024u3d9B/F8LS0tWLduHSwsLODj4wN/f3+oVCrk5eVhx44dOHjwIF555RX4+/sbomwion7vUut59O50nDctS9msgkLR/mfbHZBupmpdbPpWT7t2GZpUZnbe9Ln2u0Kd7w51P33O/ALHOt9p4roWIqJrwyChZv369cjIyEBQUBBeeuklWFhYAAA2b96Mn3/+GV988QVef/31Sz6PVCrFG2+8gcDAQJiZdcwNVqvVWLNmDTZs2IDvvvsOb731liHKJiKiS2h/oW47wPDPrdFooGpp1Q9EnYNSN2tX9EOW9jE0Yu16HJH6vHU8HaHi/HVA3YUOmbkEYjHvlBARmaIehxqVSoWYmBgAwH333acLNACwYMEC7Nu3D2lpacjJybnkHRYzMzMEBwd3OS4Wi7F06VJs2bIFWVlZaG5u1vt7iIjI9IhEIkhlEkhlEsD26n+md26PTURE/VOP74Onp6ejoaEBbm5u8PPz63J+zJgxAICEhIQe/T0ikQhisRgikUjvLg4REREREfVvPQ41+fn5ANBtoAGguzvTft3V0Gg02LBhAxQKBUJDQyGVSq/6uYiIiIiIqG/p8fQzuVy7e/WFOpw5OjrqXXe5fv31V9TU1KCpqQn5+fkoLS2Fp6cnHnzwwSt6nqeeeqrLMZlMhlWrVgGAUXdTk0i0X572qRV09TiWhsFxNByOpeFwLA2D42g4HEvD4VgaRn8Yxx6HmubmZgCAubl5t+fb1760X3e54uLiUFrasfO1l5cXHn/8cbi6ul5lpURERERE1Bf1ONRoLrFV8qXOX8gnn3wCAKitrUVOTg7WrFmD559/Hg8++CCmTJly2c/zwQcfXPS8XC6/6hqvNS5+NRyOpWFwHA2HY2k4HEvD4DgaDsfScDiWhmEK4ygSieDh4XHVn9/jNTWWlpYAAIWi+w3a2o9fbbcyOzs7jBgxAq+88gocHBzw7bffXvFUNiIiIiIi6rt6HGra16RUVFR0e76yslLvuqtlZWWFiIgIKJVKJCUl9ei5iIiIiIio7+hxqPHx8QEA5Obmdns+JydH77qesLOzA6CdkkZERERERAQYINQEBwfDysoKpaWl3QabuLg4AEBERERP/yqkpqYCANzd3Xv8XERERERE1Df0ONRIJBLMmTMHAPD999/rdTnbvHkz8vPzERwcjICAAN3xmJgYPPHEE1i9erXecyUkJODEiRNdFu4rFAr8/vvvSE1Nhb29PUaMGNHTsomIiIiIqI/ocfczAFiyZAmSk5ORkZGBFStWIDg4GHK5HFlZWbC1tcXy5cv1rq+trUVRURGqqqr0jufk5GDdunVwcHCAn58frKysUF1djby8PNTX18PKygpPPvnkVTcdICIiIiKivscgoUYmk+HVV1/F+vXrcfDgQcTHx8Pa2hrR0dFYunTpZTcJGDNmDJqbm5GWlobs7GzU19dDJpPB3d0dM2bMwNy5c+Hg4GCIkomIiIiIqI8QaYx1k5ZeUlxczH1q+gGOpWFwHA2HY2k4HEvD4DgaDsfScDiWhmEK4yj4PjVERERERERCYqghIiIiIiKTxlBDREREREQmjaGGiIiIiIhMGkMNERERERGZNIYaIiIiIiIyaQw1RERERERk0hhqiIiIiIjIpDHUEBERERGRSWOoISIiIiIik8ZQQ0REREREJo2hhoiIiIiITBpDDRERERERmTSGGiIiIiIiMmkMNUREREREZNIYaoiIiIiIyKQx1BARERERkUljqCEiIiIiIpPGUENERERERCaNoYaIiIiIiEwaQw0REREREZk0hhoiIiIiIjJpDDVERERERGTSGGqIiIiIiMikMdQQEREREZFJY6ghIiIiIiKTxlBDREREREQmjaGGiIiIiIhMGkMNERERERGZNIYaIiIiIiIyaQw1RERERERk0hhqiIiIiIjIpDHUEBERERGRSWOoISIiIiIik8ZQQ0REREREJo2hhoiIiIiITBpDDRERERERmTSGGiIiIiIiMmkMNUREREREZNIYaoiIiIiIyKQx1BARERERkUljqCEiIiIiIpPGUENERERERCaNoYaIiIiIiEwaQw0REREREZk0iaGeSKlUYsOGDTh06BDkcjlsbGwQHh6OpUuXwsnJ6bKeo6GhASdOnMDx48eRl5cHuVwOkUiEQYMGYeLEiZg1axYkEoOVTEREREREfYBBEoJSqcTKlSuRkZEBBwcHREZGory8HLGxsUhMTMSbb74Jd3f3Sz7Ppk2b8Pfff0MkEsHPzw+jRo1CbW0tMjIycObMGRw9ehQvvvgizM3NDVE2ERERERH1AQYJNevXr0dGRgaCgoLw0ksvwcLCAgCwefNm/Pzzz/jiiy/w+uuvX/J5LCwssHjxYsyePRuOjo6648XFxVi5ciXS09Px119/4dZbbzVE2URERERE1Af0eE2NSqVCTEwMAOC+++7TBRoAWLBgAXx8fJCWloacnJxLPteiRYtwyy236AUaAPDw8NAFmUOHDvW0ZCIiIiIi6kN6HGrS09PR0NAANzc3+Pn5dTk/ZswYAEBCQkKP/h5fX18AQFVVVY+eh4iIiIiI+pYeh5r8/HwA6DbQAIC/v7/edVertLQUAGBvb9+j5yEiIiIior6lx2tq5HI5AFyww1n7VLL2667W1q1bAQCRkZFX9HlPPfVUl2MymQyrVq0CADg7O/eormupvdObi4uLwJWYPo6lYXAcDYdjaTgcS8PgOBoOx9JwOJaG0R/Gscd3apqbmwHggh3J2tfYtF93NXbs2IHk5GRYW1tj0aJFV/08RERERETU9/T4To1Go+nR+UtJTU3Fjz/+CJFIhIcffrhLE4FL+eCDDy56Xi6X97jGa6U9TZeXlwtcienjWBoGx9FwOJaGw7E0DI6j4XAsDYdjaRimMI4ikQgeHh5X/fk9vlNjaWkJAFAoFN2ebz/euSva5crPz8d7770HlUqFu+++G1FRUVdfKBERERER9Uk9DjXta1IqKiq6PV9ZWal33eUqKSnBW2+9hYaGBtx0002YO3duzwolIiIiIqI+qcehxsfHBwCQm5vb7fn2/Wnar7sclZWVePPNN1FdXY158+bhpptu6mmZRERERETUR/U41AQHB8PKygqlpaXdBpu4uDgAQERExGU9X319Pd566y2UlZVhypQpuOuuu3paIhERERER9WE9DjUSiQRz5swBAHz//fd6Xc42b96M/Px8BAcHIyAgQHc8JiYGTzzxBFavXq33XAqFAm+//TbOnj2LcePG4aGHHoJIJOppiURERERE1If1uPsZACxZsgTJycnIyMjAihUrEBwcDLlcjqysLNja2mL58uV619fW1qKoqAhVVVV6x3///XdkZWVBLBbDzMwMX3zxRbd/3yOPPGKIsomIiIiIqA8wSKiRyWR49dVXsX79ehw8eBDx8fGwtrZGdHQ0li5detlNAhoaGgAAarUaBw8evOB1DDVERERERNROpDHWTVp6SXFxMfep6Qc4lobBcTQcjqXhcCwNg+NoOBxLw+FYGoYpjKPg+9QQEREREREJiaGGiIiIiIhMGkMNERERERGZNIYaIiIiIiIyaQw1RERERERk0hhqiIiIiIjIpDHUEBERERGRSWOoISIiIiIik8ZQQ0REREREJo2hhoiIiIiITBpDDRERERERmTSGGiIiIiIiMmkMNUREREREZNIYaoiIiIiIyKQx1BARERERkUljqCEiIiIiIpPGUENERERERCaNoYaIiIiIiEwaQw0REREREZk0hhoiIiIiIjJpDDVERERERGTSGGqIiIiIiMikMdQQEREREZFJY6ghIiIiIiKTxlBDREREREQmjaGGiIiIiIhMGkMNERERERGZNIYaIiIiIiIyaQw1RERERERk0hhqiIiIiIjIpDHUEBERERGRSWOoISIiIiIik8ZQQ0REREREJo2hhoiIiIiITBpDDRERERERmTSGGiIiIiIiMmkMNUREREREZNIYaoiIiIiIyKQx1BARERERkUljqCEiIiIiIpPGUENERERERCaNoYaIiIiIiEwaQw0REREREZk0hhoiIiIiIjJpDDVERERERGTSJIZ6IqVSiQ0bNuDQoUOQy+WwsbFBeHg4li5dCicnp8t+ntTUVJw+fRpnzpzBmTNnUFdXh4EDB+Kjjz4yVKlERERERNSHGCTUKJVKrFy5EhkZGXBwcEBkZCTKy8sRGxuLxMREvPnmm3B3d7+s5/rhhx+Qn59viLKIiIiIiKgfMEioWb9+PTIyMhAUFISXXnoJFhYWAIDNmzfj559/xhdffIHXX3/9sp4rPDwc48aNQ0BAAGxtbfHcc88ZokQiIiIiIuqjehxqVCoVYmJiAAD33XefLtAAwIIFC7Bv3z6kpaUhJycH/v7+l3y+22+/XfdxWVlZT8sjIiIiIqI+rseNAtLT09HQ0AA3Nzf4+fl1OT9mzBgAQEJCQk//KiIiIiIioi56HGra1790F2gA6O7OcJ0MERERERFdCz2efiaXywHggh3OHB0d9a7rbU899VSXYzKZDKtWrQIAODs793ZJl00i0X55XFxcBK7E9HEsDYPjaDgcS8PhWBoGx9FwOJaGw7E0jP4wjj2+U9Pc3AwAMDc37/Z8+xqb9uuIiIiIiIgMqcd3ajQaTY/OX2sffPDBRc/L5XLBa7yQ9jRdXl4ucCWmj2NpGBxHw+FYGg7H0jA4jobDsTQcjqVhmMI4ikQieHh4XPXn9/hOjaWlJQBAoVB0e779eOeuaERERERERIbS41DTvialoqKi2/OVlZV61xERERERERlSj0ONj48PACA3N7fb8zk5OXrXERERERERGVKPQ01wcDCsrKxQWlrabbCJi4sDAERERPT0ryIiIiIiIuqix6FGIpFgzpw5AIDvv/9er8vZ5s2b8f/t3XtQVOX/B/D3cmcXUPCCYIooxqogqIliJuqgSTZllmJOY5k2mkxeUosZGszUacpJLSur0aw0pEaTUcchx0skkoQpiNxcVlg17gisoNyW/f3hLF8R/KXw7HLO8n7959md4+d5z3OW/ew55zk6nQ5qtRp+fn6t2xMTE7F69WrExcV19b8nIiIiIqIersurnwHA3LlzkZmZiby8PKxatQpqtRoVFRXQaDRwdXXFihUr2rxfr9ejqKgIVVVV7fZ16tQpnD59GgDQ1NQE4N5KDTExMa3vWbJkSetDPYmIiIiIqGcT0tQ4ODhgw4YNOHz4MJKTk5GWlgaVSoWwsDBERkY+1iIBlZWV0Gg0bbY1NTW12Xb37l0RZRMRERERkRVQGKX6kBYLKS4u5nNqegBmKQZzFIdZisMsxWCO4jBLcZilGHLIsdufU0NERERERNSd2NQQEREREZGssakhIiIiIiJZY1NDRERERESyxqaGiIiIiIhkjU0NERERERHJGpsaIiIiIiKSNTY1REREREQka2xqiIiIiIhI1tjUEBERERGRrLGpISIiIiIiWWNTQ0REREREssamhoiIiIiIZI1NDRERERERyRqbGiIiIiIikjU2NUREREREJGtsaoiIiIiISNbY1BARERERkazZdXcB3U2hUHR3Cf9JDjXKBbMUgzmKwyzFYZZiMEdxmKU4zFIMKefY1doURqPRKKgWIiIiIiIii+PlZ0REREREJGtsaiQsOjoa0dHR3V2GVWCWYjBHcZilOMxSDOYoDrMUh1mK0RNy7PH31EhZY2Njd5dgNZilGMxRHGYpDrMUgzmKwyzFYZZi9IQceaaGiIiIiIhkjU0NERERERHJGpsaIiIiIiKSNTY1REREREQka3xODRERERERyRrP1BARERERkayxqSEiIiIiIlljU0NERERERLLGpoaIiIiIiGSNTQ0REREREckamxoiIiIiIpI1NjVERERERCRrbGqIiIiIiEjW7Lq7gJ6ksbERCQkJOHfuHCoqKuDi4oKgoCBERkaiT58+j7yf7OxsZGVlIT8/H/n5+bh9+za8vb2xY8cO8xUvMSKyrKurw6VLl/DPP/+gsLAQFRUVUCgUeOKJJzB58mTMnDkTdnbWfYiIyNFgMODQoUPQarX4999/odfrYTAY0KdPH4wePRpz5sxB3759zTyS7ifq+H5QcXEx1q1bh6amJgQFBSEmJkZg1dIkKsuoqCiUl5c/9PXt27dj4MCBIkqWJNFzsqSkBAkJCcjMzER1dTWcnJzg5eWFkJAQvPDCC2YYgXSIyPKPP/7A119//Z/vi4qKQlhYWFdLliyR8zI9PR3Hjx+HVqvFnTt3oFKp4Ofnh9mzZyMwMNBMI5AGkTleunQJx44dg1arRXNzMzw9PREWFobZs2fD1tbWTCMQT2E0Go3dXURP0NjYiE2bNiEvLw/u7u5Qq9UoLy9Hfn4+3NzcsHnzZgwYMOCR9rV+/XrodLo223pSUyMqy/j4ePz2229QKBTw9fXFgAEDoNfrkZeXh6amJqjVasTExMDR0dECo7I8UTnW19dj0aJFcHJygo+PD9zd3dHc3NzaKCqVSsTGxmLo0KEWGFX3EHl8P2jjxo3Izs6G0WjsEU2NyCxNTc3DviAuXLgQ7u7uIsuXDNFz8u+//8bnn3+O5uZmDBkyBF5eXqitrcX169fh6OiInTt3mnE03UtUlrm5uTh16lSHr925cwdpaWkAgJ07d8LT01PoGKRC5Lw8duwYfvrpJygUCvj7+8PDwwOlpaXQarUAgKVLl2LmzJnmHE63EZljQkIC4uLioFAoMHz4cLi5uUGj0aCmpgZBQUGIjo6WTWNj3T9DS8jhw4eRl5eHJ598Eh988AGcnJwA/O+g3LVrFzZu3PhI+woKCkJoaCj8/Pzg6uqK999/35ylS46oLJ2cnPDSSy/h2WefhYeHR+v24uJibNq0Cbm5uTh06BAWLlxotrF0J1E52tvb46OPPsLw4cPbfPC1tLQgPj4eCQkJ2LNnD7Zs2WK2sXQ3kcf3/U6fPo2srCyEh4fj5MmTosuWJHNkGRUVZY5SJU1kjoWFhdixYwecnZ2xfv16qNXq1tdaWlpQUFBgljFIhags1Wp1m+zud+LECaSlpcHf399qGxpAXJZ6vR5xcXGws7NDbGxsm1zPnz+P7du3Y9++fZgyZUrr/2FNROWYn5+PAwcOwNbWFtHR0QgKCgJwr8n+5JNPkJGRgaNHj2LOnDnmHI4wvKfGApqbm5GYmAgAWLJkSZsD7Pnnn4ePjw9ycnJw7dq1R9rfa6+9hrlz52L06NFQqVRmqVmqRGY5Z84cvPrqq20aGgDw8vJqbWTOnTsnsHrpEJmjra0t1Gp1u19ybGxsEBkZCXt7e2g0GtTX14sdhESIPr5NampqsG/fPgQGBuLpp58WWrNUmSvLnkZ0jnv37kVzczNWrFjR7ku5jY0Nhg0bJq54ibHUnDx79iwAYMqUKV3aj5SJzFKj0aC5uRkBAQHt5uTEiRMxePBgNDQ04ObNm2IHIQEiczx58iSMRiOmTp3a2tAAgFKpxNKlSwHca5RaWloEj8I82NRYQG5uLurq6uDp6QlfX992r0+YMAEAcOHCBUuXJjuWynLIkCEAgKqqqi7tR6oslaNCoYCNjQ0UCoVsTl8/LnNluXfvXjQ2NuKtt94SUqcc8LNSDJE53rx5Ezk5OfDy8sK4ceOE1yp1lpiTZWVlyMvLg52dHUJDQzu9H6kTmaW9vf0j/Z8uLi6PV6QMiMzR1PiMGjWq3WuDBg2Cq6tr62X5csDLzyzAdP9LR5MPQOu9Bg/eJ0PtWSrL0tJSAEDv3r27tB+pskSORqMRCQkJaGhoQGBg4CP/EZIbc2R58eJFpKSkYP78+RgwYAAqKyu7XqgMmGteHjlyBCUlJbC3t8egQYMQEhICNze3rhUrYSJzvHLlCgBg9OjRaGxsREpKSusXIR8fH4SGhkKpVIooW5Is8Vn5559/AgDGjh1rlV/CTURmOWzYMCiVSly5cgW5ubltztakpqbi+vXr8Pf37/S9jFImMseGhgYAeOhVPy4uLrh9+zZ0Oh1GjBjRmXItik2NBVRUVADAQ1ejMF3+ZHofPZylsjx+/DgA4KmnnurSfqTKXDnu378fNTU1uHv3LnQ6HUpLSzFw4EAsW7asawVLmOgs6+vrsWfPHnh7e8vmOmZRzDkv7/fjjz9i8eLFmD59eieqlD6ROd64cQMA4ODggPfeew9FRUVtXo+Li8PatWsxcuTIrpQsWZb4m5OcnAzAui89A8RmqVKpsHz5cnzxxRfYsGFD60IBZWVl0Gq1CA4OxooVK8QVLyEic3Rzc0NxcXGHq0S2tLS0/qBWVlbW2XItik2NBZjuJXjYKlqm6yGt9Z4DkSyR5YkTJ5CZmQmVSmW1XyrNlWNqamrrWS7g3unrlStXon///p2sVPpEZxkfH4/y8nLExsZa/ZLiDxKd5bhx4xAQEIChQ4fCzc0NpaWlOHPmDI4fP45vvvkGLi4uCAkJEVO8hIjMsa6uDsC9H3pUKhXWrVuHgIAAVFdX4+DBg0hOTsbWrVuxbds2q1xJztx/c/Lz81FUVASVSoWxY8d2rkiZEJ3lxIkT4eLigu3btyM3N7d1e69evTBq1Ci4urp2sWJpEpnjiBEjkJeXh6SkpHYrxaWkpKCxsfGR9yUFPesvZjf5r1Wzuar2ozN3ltnZ2fjhhx+gUCjw9ttvt1tEwFqYK0fTsq56vR7Xrl1DfHw8oqOjsWzZMkydOrVT+5Q6kVlqtVokJiZiypQpCAgI6GppsiN6Xr755ptt/j1o0CAsWrQI3t7e+O677/Dzzz9bZVMjMkfTDcIGgwHvvPNO683ESqUSK1euRHFxMbRaLX7//XcsWLCg80VLlLn/5pguPZs0aZLV/4ghOsujR49i//79GD9+PObPn4/+/fujrKwMv/zyC/bv3w+NRoO1a9d2pWRJEpnjrFmzcOLECWg0Gnz11Vd4+eWX4erqioyMDOzZswe2trYwGAxQKBRdLdsiuFCABTg7OwP437WLDzJtt8ZlB0UzZ5Y6nQ5bt25Fc3Mz3njjDav8smNi7jnp5uaG4OBgxMbGwt3dHbt377bayytFZWkwGPDtt99CqVRi0aJFYouUCUt9Vk6fPh29evVCcXGxbC6reBwiczS9x8PDo83qSCbTpk0DAGRlZXWqVqkz55w0GAz466+/AFj/pWeA2Cyzs7Oxb98+DBkyBO+++y4GDx4MJycnDB48GGvXroWvry9SU1ORkZEhbgASITJHDw8PrFu3Di4uLkhKSsLKlSuxePFi7NixA3379m09vuWy0q51/ywgEaanqT/sZt9bt261eR89nLmyLCkpwZYtW1BXV4d58+YhIiKia4VKnKXmpFKpxNixY3HixAlcvnzZKu9hEJVlZWUlCgsL0bt3b2zbtq3Na6ZLgPLz8/Hhhx/CyckJ0dHRXS1dciw1L21sbODp6YmamhpUVVVZ3eWRInM0ZdOvX78OXzdt1+v1j12nHJhzTmZkZKCmpgaenp7w9/fvfJEyITLLpKQkAPdW+rKxafv7vI2NDUJCQlBQUICsrKwOm3E5Ez0nAwICsHPnTqSkpECn08HGxgZ+fn4IDQ3Fl19+CeDeWW45YFNjAT4+PgDw0AeU3b+SDP3/zJHlrVu3sHnzZlRXV+O5557DvHnzul6oxFlyTppWmbLWLz2is6yurkZ1dXWHr9XV1SE7O9tqV5uy5Lw0NYrWeIZcZI6m5e1ra2s7fP327dsArDNHwLxz0vRsmmeeeaaT1cmLyCxNX9xNZy0eZNr+sHkrZ+aYkyqVCjNmzGizzWAwIDs7GwqFQhYrnwFsaixCrVZDqVSitLQUBQUF7ZbhS01NBQCrv0lQBNFZ1tbWYsuWLSgrK8PUqVPx+uuvC69Ziiw5J7OzswHAKpfWBMRl2b9/f/z6668dvpaVlYWNGzciKCgIMTExYgqXIEvNyxs3bqCoqAiOjo4YOHBgl/YlRSJzDAwMhKOjI0pKSlBRUdHu11/T8f2w5WXlzlxzsr6+vvU5Ij2lqRGZZa9evQDcuw+xI6bt1nYWFrDc5+TZs2dRU1ODMWPGyOZKIt5TYwF2dnaYNWsWAOD7779vs4rEsWPHoNPpoFar4efn17o9MTERq1evRlxcnMXrlTKRWTY0NODjjz/GjRs3EBoaiuXLl8vmZriuEpnjhQsXcOnSpXY3JzY0NODAgQPIzs5G7969ERwcbL4BdSMe3+KIzDI9Pb3DJ2rrdDps27YNRqMR06dPt8qbs0Xm6OjoiIiICBgMBuzevbvNvtLT05GUlASFQoHw8HAzj6p7mOv4Tk1NRUNDA4YPHw4vLy/zDUBCRGZpuuc1OTm53UMm09LSkJycDIVCYZX3xoqek9euXWv39/vy5cvYu3cv7O3tZfVjr/V9mkvU3LlzkZmZiby8PKxatQpqtRoVFRXQaDRwdXVtt566Xq9HUVFRh0+0P3XqFE6fPg0AaGpqAgCUl5e3+QV3yZIlrQ9gsjaisjxw4AA0Gg1sbGxga2uLXbt2dfj/RUVFmW0s3UlUjteuXcPBgwfh7u4OX19fKJVKVFdXo7CwELW1tVAqlVizZo3VXp4CiD2+ezpRWV69ehUHDx5Ev3794OnpCTc3N5SVlaGgoAAGgwEjR47EwoULLTk0ixI5J1955RXk5OTg4sWLWLVqFfz8/KDX63H16lUYjUYsWLCgzRcoa2OO49t06VlPWCDgfqKyHD9+PCZOnIjz58/j008/xbBhw9CvXz+Ul5e3nqVZsGABvL29LTY2SxI5Jz/77DO0tLRg8ODBcHZ2RnFxMQoKCuDg4IC1a9fKKkM2NRbi4OCADRs24PDhw0hOTkZaWhpUKhXCwsIQGRn5WKf2KisrodFo2mxrampqs+3u3bvCapcaUVmarqlvaWlpffhZR6y1qRGV44QJE1BfX4+cnBxotVrU1tbCwcEBAwYMQHh4OCIiIqzy+RX3E3l893SisgwODkZlZSW0Wi10Oh3u3LkDZ2dnqNVqTJ48GdOmTWt3g7E1ETknTfs6cuQIzp49i/T0dNjb2yMgIACzZ8+2+kunRR/fVVVVuHLlCmxtbTFp0iQzVS1NorJUKBRYs2YNzpw5g6SkJFy/fh2FhYVQKpUYM2YMIiIirPbqAEDsnJwxYwbS0tKg0WhQX18Pd3d3hIeH48UXX4Snp6cZRyGewsiHpBARERERkYxZ789URERERETUI7CpISIiIiIiWWNTQ0REREREssamhoiIiIiIZI1NDRERERERyRqbGiIiIiIikjU2NUREREREJGtsaoiIiIiISNbY1BARERERkayxqSEiIiIiIlljU0NERERERLLGpoaIiIiIiGSNTQ0REREREckamxoiIiIiIpI1NjVERERERCRrbGqIiIiIiEjW2NQQEREREZGs/R/Vxelh6calpAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate points (excluding BC)\n",
"xi = np.linspace(0, 1, n+2)\n",
"xx, yy = np.meshgrid(xi[1:-1], xi[1:-1])\n",
"\n",
"# Plot contour\n",
"plt.contour(xx, yy, ti[1:-1, 1:-1])"
]
},
{
"cell_type": "markdown",
"id": "1d2f8108",
"metadata": {},
"source": [
"### Gauss-Seidel\n",
"$A=L+D+U$ 라 생각했을 때 $A_1 = L + D$인 방법이다.\n",
"\n",
"Laplace 방정식에 적용하면 다음과 같다.\n",
"\n",
"$$\n",
"T_{i, j}^{(n+1)} = \\frac{1}{4} \\left (\n",
"T_{i-1,j}^{(n+1)} + T_{i,j-1}^{(n+1)} + T_{i,j+1}^{(n)} + T_{i+1,j}^{(n)}\n",
"\\right )\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e427dd64",
"metadata": {},
"outputs": [],
"source": [
"def gauss_seidel(n, ti, dt):\n",
" \"\"\"\n",
" Gauss-Seidel method\n",
" \n",
" Parameters\n",
" ----------\n",
" n : integer\n",
" size\n",
" ti : float\n",
" current time\n",
" dt : array\n",
" difference\n",
" \"\"\"\n",
" for i in range(1, n+1):\n",
" for j in range(1, n+1):\n",
" tij = ti[i, j]\n",
" ti[i, j] = 0.25*(ti[i-1, j] + ti[i, j-1] + ti[i+1, j] + ti[i, j+1])\n",
" dt[i, j] = ti[i, j] - tij"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ba2a5813",
"metadata": {},
"outputs": [],
"source": [
"n = 19\n",
"tol = 1e-5\n",
"ti = np.zeros((n+2, n+2))\n",
"dt = np.zeros((n+2, n+2))\n",
"\n",
"def bc(t):\n",
" t[-1, 1:-1] = 300\n",
" t[0, 1:-1] = 100\n",
" t[1:-1, -1] = 100\n",
" t[1:-1, 0] = 100\n",
" \n",
"err = 1\n",
"hist_gs = []\n",
"while err > tol:\n",
" # Apply BC\n",
" bc(ti)\n",
" \n",
" # Run Gauss-Seidel\n",
" gauss_seidel(n, ti, dt)\n",
" \n",
" # Compute Error\n",
" err = linalg.norm(dt) / n\n",
" hist_gs.append(err)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "26981bdf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate points (excluding BC)\n",
"xi = np.linspace(0, 1, n+2)\n",
"xx, yy = np.meshgrid(xi[1:-1], xi[1:-1])\n",
"\n",
"# Plot contour\n",
"plt.contour(xx, yy, ti[1:-1, 1:-1])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "b8d7b078",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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PY8SIEejSpQsaN26M9u3bY+DAgZg3bx50Ol2Za7dv344nn3wSHTt2ROPGjdGhQwc88sgjWLhw4U2/vhJpaWkAcN0iRWXodDp8+OGH6Nu3L5o2bYqWLVti8ODB2Lx5c7nXV/SM3bfffou+ffuiSZMm6NixI6ZOnXrT5/ouX76MiRMnomvXrmjcuDHatm2LF198ESdPnrT4a7FndXrFrkWLFmjUqBGaNm2Kpk2bVupTiA0bNuDMmTNo0aIFpk6dCmdnZwDAxo0bsWLFCixduhQzZsywdug2w00yJ3a6YiZ2REREZNu2bdsGAHjggQcgSZavcUyYMAF5eXlo0aIFwsPDkZubiyNHjuDdd9/F7t278d1330Gj0dxSjFu3bsVzzz0HIQQ6d+6MTp06ISsrC7GxsVi0aBGefvppuLm5AQBWrFiBN998E05OTujSpQv8/PyQlpaGmJgYfPDBBxg3blyl7hkcHAwA2L17N2JjY9GkSZNKvS4lJQVDhw7F2bNnERQUhN69eyM/Px9///03RowYUeGq6H/NnDkTn332GZycnNCjRw84Oztjw4YNOHToELRabbmvOXjwIJ599lnk5OSgZcuWuPfee5GUlIRff/0Vf/75J1asWIEePXpU6v72rk4ndo888ohF1xsMBtMnDyNGjDAldYDxl8OOHTtw6tQpi34Y7J17qd9beQZx4wuJiIiIbEDJKk6bNm2q9Pr58+ejd+/ecHV1NZ3Lzc3FmDFjsHXrVqxfv/6Wyzc//fRTKIqC6Ojo61YM//nnH/j4+JiOFy9eDA8PD/z+++9o0KCB6byiKNi7d2+l79m/f39TUnjvvfeib9++6N69Ozp27IhWrVrdMFkdN24czp49i9GjR2PixIlwdHQEAMTFxeHJJ5/EggULcPfdd6NVq1YV3v/QoUP47LPP4O3tjfXr16Nly5YAjM/2DR06FIcPH77uNTk5ORg1ahQKCgrw2Wef4YEHHjCN7dy5E//3f/+HV199Ffv27bthYlib1OlSTEudPn0aOp0OgYGBaNy48XXjJUvKf/31V02Hpho3Z/MPSZ4soChctSMiIrIXiqIgV19sV/+71X9rpKenA7hxyeFrr7123f9KJxUDBgwok9QBgLu7O9555x0AwJYtW24pPgBITU2Fp6fndUkdANxxxx1lGr2kpqaiQYMGZZI6wNi93JKVKk9PT6xatQpNmzZFQUEBoqOjMWXKFAwYMABt2rQp95GjEydO4M8//0SnTp3w1ltvmZI6AAgLC8Pbb7+N4uJifPfddze9/8qVKwEAo0aNMiV1gPHZvmnTppX7mjVr1iA5ORmjRo0qk9QBQO/evfHss88iKSmpznQ1rdMrdpaKi4sDgHKTOgCmVbqS6+oCDxfzD7ABAgUGBS6OXLkjIiKyB7oiGU/9EKN2GBZZ9VhzuGurXupYkhiW7vhY2g8//HDdubvuusvUDA8wNuD7888/cfHiReTl5UGWZdP7XrhwocqxlWjbti3Wr1+P8ePH48UXX0R4ePgNr7399ttx8OBBzJ07F08++SQaNWp0S/fdtm0btm/fjm3btuHw4cM4efIksrOz8e2332Lz5s1Yt26dqfnJrl27ABhX+8r7fnbu3BmAcW+8mzl06BAA4MEHH7xurE+fPvD29kZmZmaZ8zt37gRgTLbL06VLF3zxxRc4evQo7r///pvGYO+Y2FkgNTUVwI0/4fH19S1zHWDc7qDk0w2DwYDMzExcvHgRDg4OCA0Nvek9y6uL1mq1mD9/PgCgXr16ln0R1czB3QUo9Zywg5sX/L2cb/wCqtNKWhv7+/urHAnZA84XsgTnS/kURUFGRgYcHBzK/Ye3g2x/H8Y6ODjAwaHqiZ2fnx/Onz+P9PT0clvuX7161fTfr776Kr7//ntIkgQHBwcoioJ33nkHn3322Q1XDnNzc8u8b8lzfBqNptz7lfy5lB6bOnUqzpw5gzVr1mDNmjXw8/NDp06dcN9992HQoEFwcnIyXTt//nwMHz4cixcvxuLFixEUFISuXbviwQcfxMCBA033P3DgQLkd2qdPn17m37YODg7o378/+vfvD8BY7vjTTz9hzpw5SE1NxbRp00zJb0JCAgBgzpw5mDNnTrnfDwCmOfjfr7v0uatXr0IIgYYNG5b7fQoNDUVmZmaZ72PJ/f+7WlfR/UtKSkv+TCtLCAF/f/8bfiBgC5jYWaCgoAAAyvwwlVbyzF3JdQBw/vz5Ms1Utm7diq1bt8Lf3x+LFy+2YrQ1w9HdHe65OuQ6Gh/gzcjToz4TOyIiIrJRrVu3xsGDB3Hs2DEMGjTIotf++OOP+PTTT1G/fn3MmjXL1B3d0dERer3+unLIypBl+bpzISEh2LJlC3bv3o0tW7Zg37592LJlC3777TcsXrwYGzduhLe3t+nr2bVrF/7880/88ccf2LdvH3766Sf89NNP6Nq1K6KioqDVanHhwoVyO3NOmDChwk6YHh4eePrppxEQEIBnnnkGe/bsQV5eHlxdXVFcbNzDuFu3bggLC7vhe5QsflS3kvs/9NBDcHFxueF1pVdbazMmdha4WU13eeOtW7fG2rVrq3zPm7WpTU1NVfW5NhcXV3jpc02J3cWkVAQ4XN/qlwgwf5KekpKiciRkDzhfyBKcL+VTFAWyLMNgMJS70uAkFKx6rLkKkVWdk5BhuIUtlvr06YOvvvoKGzduxFtvvVVhZ8ySpKvkexgdHQ0AmDt3Lu69917TdQaDAbGxsQCM33ODwbzPb8kKUU5OTpnzgDExSU5ONr3Hf/Xs2RM9e/YEYFydev3117Fnzx589NFHmDJliuk6BwcH9OvXD/369QMAUzOTAwcOYOXKlfi///s/DBkyBEOGDCn36yzv3v9V0kuiuLgY6enp0Gq1CAwMBADcf//9GDFiRIWv/+89/vt9CggIwOXLl3Hp0qVyH3uKj4833b/kdUFBQTh37hxeeeWVmzZnKXlNSTJY8mdaGRqNBoqiICUl5YYrdkIIU2dRtbB5igVKPgkob4+S0udLd8us7SQ3D3gVmfdSySooVjEaIiIisoQQAu5ajV3971ZL4fr27YsWLVrg8uXLFldPZWVlAQDq169/3dgvv/xS7mtKkp+SxK+0PXv2oKioqFL3DgkJwZgxYwAYG/pVpEWLFhg+fHilri1xs4WCixcvAjA+ElSyAterVy8AuOF+dZYoeR5v48aN143t3LnzuufrSt//t99+u+X71wZM7CxQ8jxbyQaO/1XSZclaz73pdDokJyebPtmxBcLNHV76XNMxEzsiIiKyZZIkYdGiRXBycsK7776LefPmITc397rr4uPjr0vGShrlrVq1qkwidODAASxdurTc+3Xr1g0AsH79ely+fNl0Pi4uDlOnTi33NZ9//nm5q88le/CVJJb5+fn48ssvTQlnCVmWsWPHDgAod/Pz8nzzzTeYOHFiuYlgUlISJk+eDMCYGJdsHdCxY0f07NkTe/fuxfTp06/bOL0kjoMHD970/s888wwA49ceE2Nu6JORkYHZs2eX+5qnn34afn5++OSTT/D9999fl5zm5eXhhx9+wJUrV256/9qApZgWKKkdvlG3o5If/opqjG9FdHQ0oqKi4OTkZGoJqzbJ3QNeRaUSu8LKLWkTERERqaVdu3b44YcfMGLECCxatAhffPEF2rdvj8DAQBQUFCAxMREnTpyALMto2bIlWrduDQB4/vnnsXbtWnzzzTfYt28fbrvtNiQlJeHgwYMYNWoUPv300+vuFRYWhiFDhiAqKgr9+vVD165dkZeXh8OHD6Nv374oLCw0lRmW+PDDDzFr1iy0atUKjRs3hqIoOHXqFM6fPw9fX1+8/PLLAAC9Xo+3334bs2fPRps2bdCgQQMUFRXh6NGjSEhIQFhYGJ5++ulKfU+KioqwatUqrFq1Cg0bNkR4eDhcXFyQlJSEf/75B3q9Hg0bNizTOwIAFi1ahCeeeAJffPEFoqKi0Lp1a/j5+SEpKQnnz59HWloa3nnnHXTp0qXC+3fp0gUvvPACvvjiC/Tv3x89e/aEs7Mz9uzZg5CQEHTo0OG6vey8vb3x5ZdfYvjw4Rg3bhwWLlyIli1bwsnJCQkJCYiJiUFeXh5+++23cldZaxsmdhYIDw+Hq6srrl69igsXLlxX/3vgwAEA1ntAc+DAgYiIiLDKe1eVcPPgih0RERHZna5du2Lv3r1YtWoVfv/9d5w5cwZ///03tFotgoOD8eijj+KBBx5A3759Tc/JNW3aFJs2bcKcOXPwzz//YMuWLWjatCneffddPPXUU+UmdgDw3nvvISgoCOvXr8eOHTtQv359vPLKK4iMjET37t2vu37WrFnYvn07jh07VmaV7qWXXsLIkSNN5Z1ubm6YM2cO9uzZg5MnT+LUqVPQarUICQnBk08+ieeeew5eXl6V+n48/vjjCA4ONt3377//RlZWFtzd3dG2bVv069cPw4cPL7OHHmB8vvWXX37BypUr8fPPP+Po0aMoKipCQEAA2rRpg379+uGhhx6qVAzvvPMOmjZtiq+//hq7du2Cj48PHnzwQbz55ps3fIavc+fO+OOPP/D555/jjz/+wJ49e6DRaBAYGIh77rkH9913H1q0aFGp+9s7oXBHaZOhQ4fC0dGx3FawJdasWYP169ejZcuWmDJliul5uo0bN2LFihUIDw/HzJkzaypkJCYmqto8xadQh2/nfoTPWxi7St0e6IpZ9zRULR6ybWxuQJbgfCFLcL6UT1EUpKWlwc/Pz6bbtNe0kjb3lW2eQXWbRqNBSkoKfHx8bLp5Sp1esTt8+DDWrVtX5pzBYCjTZWjw4MFlVuAGDRqE48eP48yZMxg7dizCw8ORmpqKmJgYeHh4YPTo0VaLV6fTmWqXAwICrHYfSwg3D/gWZpuO0/P0KkZDRERERFQ31enELjs7u8zDmYDxk63S57Kzs8uMa7VaTJ8+HRs2bMDu3btx6NAhuLm5oU+fPhg2bJhVNwy3yWfsPL3gpzc/sJuaZ4CiKPxUkIiIiIioBtXpxC4iIqJKz6xptVoMGzYMw4YNq/6gKmCTz9hpHBCgNZeCFhQDuiIZ7lqNilEREREREdUtdTqxszdubm5wc3NTO4zreLs5w1EuQpHkCABIyzMwsSMiIiIiqkHcx86O2OI+dgCg8faFX2Gpckxd5TbaJCIiIiKi6sEVOztii8/YAYDk7Qu/7CwkuRifL0zNY4cpIiIiIqKaxMTOjtjiM3aAMbELuJqOf72bAgCSctkZk4iIiIioJjGxsyO2+oyd5O2L+vmnTMcJ2UzsiIiIiIhqEp+xo1um8fFD/TzzhrBXcpjYERER2QIhBIQQkGVZ7VCI7FZxcTE0Go3Nb+fFxM6O2GrzFKleEOrnp5qOE3OKUCwrFbyCiIiIaopWq0VBQYHaYRDZrYKCApusmvsvlmLaEVttnqLxD0RQqcTOICtIzStCoLtWxaiIiIgIAFxcXJCVZexe7eTkBI2GWxIpilLm/4nKU1xcjMLCQhgMBgQEBCA7O1vtkCrExM6O2GrzFI2fP5xkA+oVZCDV2QeA8Tk7JnZERETqc3BwgJeXF/Lz85GVlcVkBoAkGYvWWKJKFRFCQKvVokGDBnByclI7nJtiYmdHbLV5inDUAl4+qJ+fakrsruTo0UHluIiIiMjIwcEBHh4eALhKBQD+/v4AgJSUlJtcSXVZyTN19pDUAUzsqLr4+iM4LwXHfJoDAK6wMyYREZFNsvUGEDWh5HvA7wXVJmyeQtVC+AWUaaCSkFOkYjRERERERHULEzuqHkGhCCm15cGlzEIVgyEiIiIiqluY2NkRW93uAAAQFILGuQmmw/R8AzLyDSoGRERERERUdzCxsyPR0dGIjIzE+PHj1Q7lOiI4FD76XPgWZpnOnU/nnjlERERERDWBzVPsiK1udwAACAwBADTJSUC6kxcA4Fx6ATqFuKsZFRERERFRncAVOzvi5uaGgIAABAQEqB3KdYSTM+Drj6Y58aZzXLEjIiIiIqoZTOyo+gSFommp5+zOpzGxIyIiIiKqCUzsqNqI4FA0yTEndmlsoEJEREREVCOY2FH1CQqBrz4bPoXZplOnU/NVDIiIiIiIqG5gYmdHbHq7AwAiuCEAoFVWrOnciat5aoVDRERERFRnMLGzI7a83QEAIKwJIATaZDKxIyIiIiKqSdzuwI7Y9HYHAISzKxAUitaZ503nLmYWIrvAAE9nTjUiIiIiImvhip0dseXtDkqIRs0RkpcC71LP2f2bzOfsiIiIiIisiYkdVa/GLSCAMuWYx67q1IuHiIiIiKgOYGJH1Uo0ag4AaJt5znTur4RcKIqiVkhERERERLUeEzuqXqGNAAcHdEw7ZTqVrDMgLrNQvZiIiIiIiGo5JnZUrYSjIxDWDL76HDTPvmQ6fzAhV8WoiIiIiIhqNyZ2VO3Ebe0AAJ1TT5rOHYxnYkdEREREZC1M7KjaiXBjYtcpzZzYxaQVIDm3SK2QiIiIiIhqNSZ2dkSn0yE5ORnJyclqh1KxJi0BrRZhuiTUz0sxnd55MbuCFxERERERUVUxsbMj0dHRiIyMxPjx49UOpULC0RFo1hoCQO+r/5jOb7+Yxe6YRERERERW4KB2AFR5AwcOREREhNphVIpo1R7KyX/Q++phrGncDwBwOUuPCxmFaOLrrHJ0RERERES1C1fs7IibmxsCAgIQEBCgdig3Jdp1AQAEFaSjZdZF0/nfz2eqExARERERUS3GxI6sQgSFAMENAAB9Ew+Zzm+LzUZeUbFaYRERERER1UpM7MhqxB3dAAC9ko/AVdYDAPINMnZcYBMVIiIiIqLqxMSOrKYksXOSi3D3lQOm87+cyUCxzCYqRERERETVhYkdWU9YM8A/CAAwIGEfBIzJXEK2Hvsv56gZGRERERFRrcLEjqxGCAHRLQIAUD8/Fd2zY0xja0+kcesDIiIiIqJqwsSOrEp0u8v034PPbDT998XMQhxKyFUjJCIiIiKiWoeJHVmVCAgGmt0GAGikS0IXJcU0tuZ4GmSu2hERERER3TImdmR1omc/038PPr7O9N/n0wuw8yI7ZBIRERER3SomdmR1onNPwN0DANA8PRZ3Opkbp6w4koJCg6xWaEREREREtQITO7I6oXWC6HGv6fiZY9/DQRIAgLQ8A346la5WaEREREREtQITOzui0+mQnJyM5ORktUOxmLjrfkAyTregxLN4wNO8ahf1bxqu5urVCo2IiIiIyO4xsbMj0dHRiIyMxPjx49UOxWLCLwCia4TpePDBb+HlpAEAFBYrWHrwKrc/ICIiIiKqIge1A6DKGzhwICIiItQOo8rE/UOg7N8GKArcrsTi+T6Z+DDR+OzdP4k67LiYjYjGXipHSURERERkf7hiZ0fc3NwQEBCAgIAAtUOpEhEUCtGpp+m4584VuCPI1XT85d/JyMw3qBEaEREREZFdY2JHNUrcP8T83wlxeEmKgZPG2Eglu7AYiw4ksiSTiIiIiMhCTOyoRonQxhDdIkzH/hu/wf+19TYdH0rQYcu5rJoPjIiIiIjIjjGxoxonHn0G0GqNB9mZGHDmd3QIdjONf/n3VVzJZpdMIiIiIqLKYmJHNU74+kP0e9R84vcNiGyqwKNUl8yFe6+gqJglmURERERElcHEjlQh+g8CvH2NB4YieK9ZgtGdzU1hYtIK8NU/9rdfHxERERGRGpjYkSqEswukp14ynzh3Et1i96B/M2/TqegzGdgTl13zwRERERER2RkmdqQa0b4bRMcepmNl3TcY0aAYTXycTOc+2Z+EBD5vR0RERERUISZ2pCrx5EjA1d14UJgPh+Uf4I3ugXB1NE7NfIOMd3cloNAgqxglEREREZFtY2JHqhKePpCejTSfiDuHoN++w6vdgs2nMgvx2aGr3N+OiIiIiOgGmNiR6kTH7hB9BpiOla0/oevVI3go3Md07o/YLGyOyVQhOiIiIiIi28fEjmyCGDoCCAkzHStff4RnfHPQsp6L6dyyv67i3+Q8NcIjIiIiIrJpTOxqwNGjRzFp0iQ89dRTGDVqFNasWQNZ5jNjpQmtE6TRb5qft9ProVk6F5PaOsPHxQEAUKwA7+5KQIquSMVIiYiIiIhsDxM7K7tw4QLmz5+P2267De+++y6ee+45bN68Gd99953aodkcEVAf0kuTAOnatMxIhfenMzG5kzccJAEAyCooxrydbKZCRERERFSag9oBqCk2NhbHjh3DuXPnEBMTg4yMDDg6OmLVqlUVvk6v1+PHH3/Enj17kJqaCnd3d7Rr1w7Dhg2Dn59fmWt/+eUXNGzYEMOHDwcAhIaGIj09HatXr8bgwYPh7OxsrS/PLonb2kE8PhLK6k+NJxIvo/m38zHq0YlYfDgdAHA+vQBLDibhtTuDIYRQMVoiIiIiIttQp1fsoqKisHr1ahw8eBAZGRmVeo1er8esWbMQFRWFgoICdOrUCX5+fti+fTsmTZqEpKSkMtefOXMGd9xxR5lzHTp0gF6vR2xsbLV9LbWJdNf9EA8+bj5x4Sz6Rn+E+5t6mE5tv5CNX85U7s+MiIiIiKi2q9Mrdi1atECjRo3QtGlTNG3aFCNHjrzpazZs2IAzZ86gRYsWmDp1qmnFbePGjVixYgWWLl2KGTNmmK7PyMiAj49Pmffw9vYGAKSnp1ffF1PLiAefAHJzoGyLNp44cxzDiz9BXLtR+DetEADw1eFkhHk7oV2Qm4qREhERERGpr06v2D3yyCMYOnQoOnbsaEq2KmIwGLB582YAwIgRI8qUUT7wwAMICwvDqVOnbroSV1I+yDLCGxNCQDz+IkS3u0znHM6dxPjDy1DPRQMAkBVgwa4EXMnWqxUmEREREZFNqNOJnaVOnz4NnU6HwMBANG7c+Lrxrl27AgD++usv0zkfH5/ryjxLjv+7kkdlCUmCeO5ViF79TOe8L5zApJPfQntt5ubqZczeEY9cfbFKURIRERERqY+JnQXi4uIAoNykDgCaNGlS5joAaNmyJY4cOVLmun/++QdardZ0Pd2YkDQQz4yB6Pug6VzTuH/wyrn1puOEbD3e25WAYllRI0QiIiIiItXV6WfsLJWamgoA13W+LOHr61vmOsBYojllyhSsWLECd999NxISErB27Vrcd999leqIOW7cuOvOabVazJ8/HwBQr149i7+O6uTgYJxC/v7+Vr2PEvkmcusFQPf9lwCAHpf2I97BC9837AsAOJKUh9UnszHurmZWjYNuTU3NF6odOF/IEpwvZAnOF7KEvcwXJnYWKCgoAAA4OTmVO16SqJVcBxhX8SZNmoTvvvsOmzdvhoeHB/r164dhw4ZZP+BaRAgBjydegENQfWQtngcYDBga+xsuO9fD3oB2AICoo4lo5OuKQe3qqxwtEREREVHNYmJnAUWpuNTvRuPt27dH+/btq3TPhQsXVjiempp607isqeSTi5SUlJq5YZvOkF6bCXnJXIi8XLxyei2uOvvivGcDAMDC7efhKenZKdNG1fh8IbvG+UKW4HwhS3C+kCUqM1+EEAgODq6pkMrFZ+ws4OLiAgAoLCwsd7zkPDcdty7Rsg2kN98DghvASS7C5BPfwLcwCwA7ZRIRERFR3cTEzgIlz7OlpaWVO16yL521nnvT6XRITk5GcnKyVd7fnoigEEhvvQ/RpTf89NmYfOIbaIuNyVyuXsas7ZeRW8hOmURERERUNzCxs0BYWBgA4MKFC+WOl+xfV3JddYuOjkZkZCTGjx9vlfe3N8LZBeKF8RBPjESzvCS8cnqtaexKThEWbLvITplEREREVCfwGTsLhIeHw9XVFVevXsWFCxeu2/bgwIEDAIAOHTpY5f4DBw5ERESEVd7bXgkhIO5+AEpYM/T4fAHiL2zB942N+94dTSvCF78ewaiBd6gcJRERERGRdXHFzgIODg4YMGAAAGD58uVlul9u3LgRcXFxCA8PR7Nm1mm57+bmhoCAAAQEBFjl/e2ZaBoO6e2PMSygEN2Tj5rOb8p0waav10HJ06kYHRERERGRddXpFbvDhw9j3bp1Zc4ZDAZMmTLFdDx48OAyK3CDBg3C8ePHcebMGYwdOxbh4eFITU1FTEwMPDw8MHr0aKvFq9PpoNMZExQmd9cTbu6QXpyAV/dux9UTCTjvHgIAWOYQjuD330P7Rx+EaNtR5SiJiIiIiKpfnU7ssrOzERMTU+acoihlzmVnZ5cZ12q1mD59OjZs2IDdu3fj0KFDcHNzQ58+fTBs2DCrbhgeHR2NqKgoODk5YeXKlVa7jz0TQsClx12Y0vAKJvyZiHQHN8hCg/caPoR3ly1CSId2EENHQLi6qx0qEREREVG1EYqam6CRRcpbsUtMTKxb+9hZICZFh7e2xEF/reI4OC8F7x5eBHd3F0jPRkK07aRyhHWPLc8Xsj2cL2QJzheyBOcLWYL72FG14zN2lmnu74bXeoaajhNd/fFe66dhyMqE/PFMyMv/B0WXq2KERERERETVg4kd1Wo9wjzx5O3m8tjjPs3xRfNHoABQ9v0J+Z1IKP/sVy9AIiIiIqJqwMTOjnCD8qoZ2sYPvcM8Tcdb6nfDppAexoPMdMhL5qJ4yVwoGeVvPE9EREREZOvqdPMUe8PmKVUjhEBktyAk5epxNs24RcVXzR9CsD4DHVJOGi/6Zz/k08cgBj0L0XsAhMTPPIiIiIjIfrB5ih1h85Rbk5FvwITNF5GaZwAAuGiAeYk/oeHJPWUvbBoO6ZlIiJCGKkRZu9nTfCH1cb6QJThfyBKcL2QJNk+hasfmKbfGx8UBUyNC4ewgAAD5xcC8xkOQ/dSrgKub+cLzpyHPeg3yT6ugFOlVipaIiIiIqPKY2FGd0tjHGeN61Ie4dnxVV4QF+uYonr4YonMv84XFBigbv4c8cyyUsydUiZWIiIiIqLKY2NkRNk+pHl1DPfDsHf6m45Mp+Vh6pgDixQmQXpkG+JrHkJQA+b23IK9YBEWXo0K0REREREQ3x+YpdoTNU6rPo7f5Ij5Ljz9iswAAf8Zmo4GnEwbd3hlSizZQfloF5Y+NgCIDAJRdW6D8sx/isecg7rwbQoiK3p6IiIiIqEYxsbMjAwcOREREhNph1ApCCLzcJQiJOXqcTMkHAKw4koL6nlp0a+ABMewFKF36QF6xCIi/YHxRbjaUrz6CsucPSE+9BFGfzVWIiIiIyDawFNOOsHlK9XLUCLzZOwRB7o4AAAXAwj1XEJtu3BJBNG4OacoHEI89Bzg5m1949gTkmWMhr18BpbBQhciJiIiIiMpiYkd1mqezA6ZEhMLV0fijUFisYPaOeGTkG7dEEA4OkPo9CmnGYqB9N/MLi4uh/BoFefoYKMcOqRE6EREREZEJEzuq8xp6OeGNnvUhXXtsLi3PgDk74lFokE3XCD9/aMa8BSlyKuBXasU0LRnyJ7NQvGQulHTuhUNERERE6mBiZ0fYFdN6OtR3x4iO5oQtJq0An+y/fvN30a4LpBmLIO4bDGg05oF/9kN+ewzkLRugGAw1FTYREREREQAmdnYlOjoakZGRGD9+vNqh1EoDW/jgvubepuNdcTn4/kTaddcJJ2dIg/4P0rSPgOatzAOFBVB++ArynHFQzp+ugYiJiIiIiIzYFdOOsCumdQkh8EKnQCTk6HEsKQ8A8N2xVIR6atEzzPP660MaQnpjHpS9f0KJWg7kXtvnLv4i5PkTIXr1gxj8fxBuHjX5ZRARERFRHcQVOzvCrpjW5yAJTOoZgvoeWtO5j/Yl4mxqfrnXCyEg9egLadZSiF79yowpu7ZAnvoy5L1/XFfSSURERERUnZjYEf2Hu5MG0yJC4a41/njoixXM3RGP1LyiG75GuHtCejYS0qT5QEiYeeDa3nfy+29BSbhk7dCJiIiIqI5iYkdUjvqeWkzqFQLNtU6ZGQXFmLM9HgWlOmWWRzRrBWnqhxBDngO0TuaBs/9CnjUW8g9fQSkof/WPiIiIiKiqmNgR3cDtQW54qUuQ6Tg2oxAL91yBfJOySuHgAKn/o5BmLrl+77stGyBPGw3lr90szyQiIiKiasPEjqgC/Zp548FwH9PxgfhcrDqaWqnXmve+mwbUCzQPZKZB/mwB5P9Nh5KUUN0hExEREVEdxMTOjnAfO3U8d0cAOtZ3Mx1H/ZuGP2OzKv160a6zce+7B4YBDqUa0Z48AnnGK5A3fAulsLA6QyYiIiKiOoaJnR3hPnbq0EgCE3rWR0Mvc6fMxQeScDI5r9LvIbROkB5+CtI7i4DWd5gHDAYom9ZCnj4GypED1Rg1EREREdUlQuGDPnZDp9NBp9MBgGnLg8TERFWf1fL39wcApKSkqBZDTbmaq8eEzXHILiwGAHg6afD+gDAEumtv8sqyFEUBDu+D/P0XQMZ/yjpv7wzp8Rch/IPKf7Gdq0vzhW4d5wtZgvOFLMH5QpaozHwRQiA4OLimQioXV+zsCPexU1eguxZv9Q6Bg2RslZldWIzZ2+ORV1Rs0fsIISA6doc0czFE/0GARmMePHYI8vRIyL+sgVKkr87wiYiIiKgWY2JHZIHbAlwxpqt5Ne1Slh7v776CYtnyVVPh7AJpyHBIb38EtGxrHijSQ/l5NeR3XoFy4u/qCJuIiIiIajkmdkQWuruJFwa38jUd/31Fh6//qXpDG1G/IaTxsyFeGA94mTtwIjkR8kczULx0PpR0looQERER0Y0xsSOqgqfb+6NbA3fT8c+nM7DlXGaV308IAalrH0izlkLc8xAglfrRPLwX8ttjIG9eB8VQdAtRExEREVFtxcSOqAokIfB69/po7ONkOvfpwSQcS9Ld0vsKF1dIw16ANPVDoNlt5oHCAijrvoE88zUop4/d0j2IiIiIqPZhYkdURc4OEqZGhMLH2dj8pFgB3t2VgCvZt970RDRoDOmNeRDDxwIeXuaBxMuQP5gKedn7UDLTb/k+RERERFQ7MLGzI9yg3PbUc3XElIhQaDXGTpm5ehmztscjt9CyTpnlEZIEqUdfY3lmxH2AEKYx5eBOyNNehrz1JyjFt34vIiIiIrJvTOzsCDcot03N/Vww9k7zviVXcvR4d3cCDFXolFke4eYO6amXIb35PhDWzDxQkA/l+y8hz34dyrmT1XIvIiIiIrJP3KDcjnCDctu25lgqvjtu3nD8vubeGNU5EKLUStutUuRiKLt+h7J+BZCXW2ZMdO8LMfj/IDy9q+1+1Y3zhSzB+UKW4HwhS3C+kCW4QTlVO25QbtuGtfVDrzAP0/GvMZmIPptRrfcQkgZSnwGQZi+F6HFPmTFl7x/G8sztm6DILM8kIiIiqkuY2BFVEyEEXukWjOZ+zqZzX/6djMNXcit4VRXv5eEFafirkCa9C4Q2Ng/k6aCs+hTy3DegXIip9vsSERERkW1iYkdUjZwcJLzVJxR+rg4AAFkB3tt9BZeyCq1yP9HsNkhTF0I8/iLg4moeiDsHed4EyCuXQNHlWOXeRERERGQ7mNgRVTNfFwdM7RMKZwfjs3V5RTLmbI9HdoHBKvcTGg2kvg9CmrkEomsf84CiQNm5GfLUlyDv2gJFlq1yfyIiIiJSHxM7Iito4uuM17vXR0nblKTcIszbmYCiYus1uhHevpBeGA9pwhwguIF5IDcHyopFkOdPhBJ33mr3JyIiIiL1MLEjspJuDTzwTHt/0/HJlHwsPZhk9S6momVbSG9/BDFkOOBkft4PF85CnjMO8qpPoeiq/7k/IiIiIlIPEzsiKxrUyhd3N/E0Hf8Rm4UNp9Ktfl/h4ACp/yBjeWannuYBRYGyfZOxe+aerSzPJCIiIqolmNgRWZEQAqO7BKGVv4vp3Ip/UnAgvmYamgjfepBGTYT0+kwgKMQ8kJMF5euPIS+YDOVSbI3EQkRERETWw8SOyMocNRIm9w5BoLsjAEABsHDPFVzIKKixGESr9pCmfwwx6P8ArZN54PxpyLPHQV79GZQ8lmcSERER2SsmdkQ1wMvZ2CnT1dH4I1dgUDB7ezwy8q3TKbM8wsER0n2DIc1aAnTsbh5QZCjboiFPfRny3j+s/gwgEREREVU/JnZENaShtxMm9KgP6VqrzNQ8A+buiIe+uGafcxO+/tC8NBnSazOAwP+UZ371EeQFb0K5fKFGYyIiIiKiW8PEzo7odDokJycjOTlZ7VCoijqGuOP5DgGm47NpBfhkn/U7ZZZHtL7DWJ756DOAVmseOHcS8qzXIa9ZBiVPV+NxEREREZHlmNjZkejoaERGRmL8+PFqh0K34IGWPujfzNt0vDMuG2tPpKkSi3B0hHT/Y5BmLgE63GkeUGQof/xi7J65bxvLM4mIiIhsnIPaAVDlDRw4EBEREWqHQbdICIGRnQORmKPHsat5AIDVx1IR6qlFjzDPm7zaSjH5BUDz8ptQTvwN+bvPgeRE40B2JpTlH0LZ9RukJ1+CCG2kSnxEREREVDGu2NkRNzc3BAQEICAg4OYXk01zkAQm9gpBfQ9H07n/7UtETFq+ilEBok1HSO98AvHI02XLM2NOQp71GuTvv4SSn6dafERERERUPiZ2RCrxcNJgakQDuGmNP4b6YgVzdiQgNa9I1biEoxbSwKGQZiwG2nczD8gylK0/GcszD+xgeSYRERGRDWFiR6SiEE8tJvUKMXXKzMg3dsosMNRsp8zyiHqB0Ix5C9KrbwP+QeaBrAwoX3wA+f0pUBIuqRcgEREREZkwsSNSWbsgN4zqHGg6Pp9eiP/tvQLZRlbERNtOkGYsgnj4ScCxVHnm2ROQZ74K+YflUApYnklERESkJiZ2RDZgQHMfPNjSx3S873IuVh1NVTGisoSjFtIDj0OasQho18U8IMtQtvwIedpoyAd3sjyTiIiISCVM7IhsxHMdAtAh2M10HPVvGrZfyFIxousJ/yBoIqdCipwG1DOvMiIzHcqy9yF/MBXKFZZnEhEREdU0JnZENkIjCUzoWR8NvMzljp/sT8KpFNsrcxTtOhvLMx98HHAwd/bEmeOQZ46FHPUVyzOJiIiIahATOyIb4qbVYGqfUHg6aQAABlnBvB0JSM5Vt1NmeYTWCdJDTxrLM9t2Mg8UF0P5bQPkaWMgH9rN8kwiIiKiGsDEjsjGBHloMbl3CByu/XRmFRZjzo545Bep3ymzPCIgGNIr0yCNmQL4ldpjMTMNyucLIH/4NpTEePUCJCIiIqoDmNgR2aDWAa4Y3cW8xcDFzEJ8aEOdMv9LCAHRviukGYshHhgGODiYB08dhTzjVcjrvoHMzc2JiIiIrIKJHZGN6tvUG4/c5ms6PhCfi2+PpKgY0c0JJydIDz9lLM9s09E8UGyAsnkdUiOfQMHeP1meSURERFTNmNgR2bBn2/ujc4i5U+a6k+nYFmtbnTLLIwLqQ3r1bUij3wJ8/U3n5bRkZC6YAvl/06EksTyTiIiIqLowsSOyYRpJYFyP+mhYqlPmogNJOJ2Sr2JUlSOEgLijG6SZSyDuH1q2PPPkEcjvvAp5/QoohQXqBUlERERUSzCxs7KTJ09iwYIFGD16NIYOHYq1a9eqHRLZGVdHDaZGlO2UOXdnPFJ0ttcpszzCyQnSo09Dmv4JtO27mgeKDVB+jYL89mgoh/eyPJOIiIjoFjCxs7KCggKEhobi6aefhre3t9rhkJ0KdP9Pp8wC2+6UWR4RFAKf6R/Ce9I8wLeeeSA9FfLS+ZA/egfK1SvqBUhERERkxxxufon9iI2NxbFjx3Du3DnExMQgIyMDjo6OWLVqVYWv0+v1+PHHH7Fnzx6kpqbC3d0d7dq1w7Bhw+Dn53dLMXXo0AEdOnQAgJvGQVSR1gGueLlLED7ZnwQAuJBh7JQ5uXcIJCFUjq5yhBBwvjMCUoOmUKLXQtnyI1BsMA7++w/kdyIh+g2CuP8xCCcnVWMlIiIisie1asUuKioKq1evxsGDB5GRkVGp1+j1esyaNQtRUVEoKChAp06d4Ofnh+3bt2PSpElISkqyctRElXdPOZ0yVx1NVTGiqhFOzpAGPQvpnY+BVu3NAwYDlE1rIU8fA+Wf/SzPJCIiIqqkWrVi16JFCzRq1AhNmzZF06ZNMXLkyJu+ZsOGDThz5gxatGiBqVOnwtnZGQCwceNGrFixAkuXLsWMGTNM1+fm5iI3N7fC93RxcYGXl9etfTFEN/Bse3/EZxXirys6AEDUv2lo4KVFRGP7m3MiKBTSazOAw3shf/8lkHEtSU1LhrxkLtCmI6QnXoQIqK9uoEREREQ2rlYldo888ohF1xsMBmzevBkAMGLECFNSBwAPPPAAduzYgVOnTiE2NhZNmjQBAGzatAlRUVEVvm+fPn0wZswYy4InqiSNJDC+Z31M+i0Ol7L0AIBF+5MQ7KFFy3ouKkdnOSEE0LEHpNYdjOWZv/8IFBcbB0/8DXn6UYgBgyEGDGF5JhEREdEN1KrEzlKnT5+GTqdDYGAgGjdufN14165dERcXh7/++suU2A0ZMgSDBw+u8H2FnTzvRPbL1VGDKX1CMeG3OOQUFqNIVjB3RzzeH9AI/m6OaodXJcLZBWLw/0Hpfjfk1Z8Bp48ZBwwGKBu/h7JvG6THX4Qo3VmTiIiIiADUsmfsLBUXFwcA5SZ1AEzJXMl1ACBJEjQaTYX/k6Q6/W2lGhLkocWbvcydMjOvdcosMNhPp8zyiOAGkMbNghg5EfA2P0+ItGTIi+eg+OOZUJIT1QuQiIiIyAbV6RW71FTj8zw36nzp6+tb5rqqKCgoMDVgMRgMyMzMxMWLF+Hg4IDQ0NCbvn7cuHHXndNqtZg/fz4AoF69eteN1ySHa5tO+/v7qxpHXRXhD7wBJ8zbGgPA2Clz6d9pmD3wNpvslGnRfLn/Uch39YPu+6+g+2WNuTzz+F+QTx+D26Bn4D7oaQgn54rfh+wWf7+QJThfyBKcL2QJe5kvdXppqaCgAADgdIPndkqeuSu5rirOnz+PiRMnYuLEicjIyMDWrVsxceJEzJs3r8rvSVTag22CMOyOENPx9nNp+GJfXAWvsB+Sixs8hkei3v9WQtu2o3mgSA/d918i9dWnUHBot3oBEhEREdmIOr1id7NW6tXRar1169ZYu3ZtlV+/cOHCCsdTU1NVbQlf8slFSkqKajEQMCzcHeeuuuHva50yvz54Gb4OBvSxsU6ZVZ4vzu5QXnkb4tAuKGuXA1npAIDiq1eQOecNoF0XSMNegPAPqu6QSUX8/UKW4HwhS3C+kCUqM1+EEAgODq6pkMpVp1fsXFyMHQQLCwvLHS85X7pbppp0Oh2Sk5ORnJysdihkYzSSwPge9RHqqTWd+2R/Es6k5qsYVfUSQkDq0hvSrCUQ/R4BSj/LevQg5OmRkH9ZA6VIr1qMRERERGqp04ldyfNpaWlp5Y6np6eXuU5t0dHRiIyMxPjx49UOhWyQm1aDqRGh8NAaf6yLZAXzdsQjRVekcmTVS7i4QnrseUhvfwS0aGMeKNJD+Xk15OmRUI7/rV6ARERERCqo04ldWFgYAODChQvljsfGxpa5Tm0DBw7EokWL8MEHH6gdCtmoYA8tJvUOgeZa35SMgmLMrQWdMssjQsIgTZgD8cJ4wMvHPJCSBPnjGShePBdK6lX1AiQiIiKqQXU6sQsPD4erqyuuXr1abnJ34MABAECHDh1qOrRyubm5ISAgAAEBAWqHQjasbaAbXupiftYsNqMQ/9ubCFnFZzGtRQgBqWsfSLOWQtzzcNnyzCP7IU8fAzl6LZSi2rVqSURERPRfdTqxc3BwwIABAwAAy5cvL9P9cuPGjYiLi0N4eDiaNWumVohl8Bk7qqx+zbzxYEvzKta+yzn47ljVt+2wdcLFFdKwEZCm/Q9o3so8oNdD+fFbyO9EQjnB8kwiIiKqvWpVV8zDhw9j3bp1Zc4ZDAZMmTLFdDx48OAyK3CDBg3C8ePHcebMGYwdOxbh4eFITU1FTEwMPDw8MHr06BqL/2aio6MRFRUFJycnrFy5Uu1wyMY91yEA8dl6/JNo7JS59kQaGng5oXcjT5Ujsx4R2gjSG/OgHNgO5YevgOxM40ByIuSPZgAd7oQ09AUIP9veh4aIiIjIUrUqscvOzkZMTEyZc4qilDmXnZ1dZlyr1WL69OnYsGEDdu/ejUOHDsHNzQ19+vTBsGHDbKZxCmB8xi4iIkLtMMhOaCSBN3rWx8Tf4hCfbewU+cn+RAS5O6JFPReVo7MeIQREt7ug3N4Fys+rofwZDSjXnjE8vA/yib8hBg6DuPcRCEdHdYMlIiIiqiZCUXMTNLpliYmJ3MeOKpSYo8cbmy8iR29MbnxcHPDBgDD4udZ8UqPGfFEuX4C8+lPg3KmyA4EhkJ4YCdH6jhqLhSzD3y9kCc4XsgTnC1mC+9gRkU0I9tBiYq9SnTLzDZizIwGFtbBTZnlEg8aQ3pgH8dxYwKPUhu1XEyD/bzqKP50PJZ1/sRMREZF9Y2JnR9g8harq9iA3jOwcaDo+n16Aj/bVzk6Z5RGSBKl7X0izl0LcNRAQpX71/b0X8rTRkH9dB8XA7plERERkn5jY2RFuUE63YkBzHwws1Slzz6UcfH+89nbKLI9wdYf05ChIUxcCTcPNA/pCKOu/gTzjVSgnj6gWHxEREVFV1armKbUdm6fQrRrRIQAJ2XocudYpc81xY6fMnmG1t1NmeUTDJpAmzoey708oUV8DudeaKiUlQP7wbYhOPSEeex7C13aaJxERERFVhCt2doQblNOtKumUGeKpNZ37aF8iYtLyVYxKHUKSIPW4B9LsTyEi7i9Tnqn8tRvy26Mh/7ae5ZlERERkF5jYEdUx7loNpvYJhbvW+OOvL1Ywd0cC0vLqZgIj3NwhPfUSpCkfAI1bmAcKC6BEfQ155mtQTh1VL0AiIiKiSmBiZ0fYPIWqS31PLSb1CoF0rVNmer4Bc+tQp8zyiLCmkCYvgHg2EnD3MA8kXoa8cBrkz9+DkpGmXoBEREREFWBiZ0fYPIWq0+1BbhjZydwp81x6AT7er+6+iGoTkgSpVz9jeWafAYAQpjHl0C5j98wtG6AYDCpGSURERHQ9Nk+xI2yeQtXtvhY+uJRViE1nMwEAu+Ny0MArDY+3rdtNQ4SbB8TTo6H0vBfyqk+BizHGgcJ8KD98BWX3VkhPvQTRsq26gRIRERFdwxU7O8LmKWQNL3QMRLsgV9Pxd8dSsScuW8WIbIdo1BzSm+9BPDMGcPtPeeb7UyAv+wBKZrp6ARIRERFdw8SOqI7TSAITe4agvoe5U+b/9iXiXFqBilHZDiFJkHr3N25u3rt/2fLMgzsgT3sZ8u8/sTyTiIiIVMXEjojg7qTB1IhQuJXplBmP9HwmKyWEuyekZ8ZAevM9IKyZeaAgH8raLyHPfh3K2RPqBUhERER1GhM7O8KumGRNIZ5aTOxp7pSZlm/A3B3xdbpTZnlE4xaQ3noP4unRgKu7eSAhDvJ7b0H+ciGUrAz1AiQiIqI6iYmdHWFXTLK29sFueKGjuVNmTFoBPqnjnTLLIyQNpD4DjN0ze/UrM6bs324sz9z6M5TiYpUiJCIiorqGXTHtCLtiUk0Y2NIHl7MK8WtMJgBgV1wOGnqlYWgd75RZHuHhCfFsJJQe90Be/Rlw6bxxID8PyvdfQNmzFdKTL0E0b6VuoERERFTrccXOjrArJtWUFzoF4vZSnTJXHUvF3kvslHkjomk4pCnvQzz1EuDqZh6Ivwh5wWTIyz+Eks3yTCIiIrIeJnZEdB2Ha50ygz0cTef+tzcRsenslHkjQtJAirjfWJ7Z454yY8q+bZCnjob8x0aWZxIREZFVMLEjonJ5OGkwtU8o3ByNvyYKixXMZqfMmxIeXpCGvwpp8gKgQWPzQL4OyprPIc8eB+XcKfUCJCIiolqJiR0R3VColxPe6FWqU2aeAfN2xENfzE6ZNyOahkOauhDiyVGAS+nyzAuQ350E+auPoGRnqhYfERER1S5M7IioQncEu2FER/NznWfTCvDJ/iR2yqwEIWkg3TXQuLl5975lxpS9fxi7Z26LhiKzPJOIiIhuDRM7O8J97EgtA1v4oH8zb9PxzovZiPo3Tb2A7Izw9Ib03FhIk+YDoaXKM/N0UFZ/BnnOeCjnT6sXIBEREdk9JnZ2hPvYkVqEEBjZORBtA82dMr89mop9l3NUjMr+iGatjOWZj48EXMzfS1yKhTx/IuSvP4aSk6VegERERGS3hMJ6Kruh0+mg0+kAwLTlQWKiuptH+/v7AwBSUlJUi4FqTnZhMd7YfBFJuUUAACeNwPx+YWji61yp13O+mClZGVCivoayf1vZAVc3iEefgejdH0LSqBOcjeB8IUtwvpAlOF/IEpWZL0IIBAcH11RI5eKKnR3hPnakNk8nDaZGhMK1VKfMOTvikcFOmRYTXj6QRrwO6Y15QEiYeSBPB2XVp5DnTIASe0a9AImIiMiuWCWxS01NRWpqKvR6vTXenohU1MDLCW/0rG/qlJmaZ8C8neyUWVWiRWtI0/4HMewFwNnFPHDpPOR5b0BesQhKDjeHJyIioopZJbEbM2YMIiMjkZuba423JyKVdajvjuc7mFeOz6QWYDE7ZVaZ0Ggg3fMQpFlLIbpFlBlTdm2BPPUlyDs2s3smERER3ZBVEjtnZ2e4urrC19fXGm9PRDbggZY+6NfMy3S8/WI21p1MVzEi+ye8fSGNGAfpjblA/YbmgbxcKN8ugTz3DSgXYtQLkIiIiGyWVRI7f39/FBYWQpZZmkVUWwkhMLJTENoEmMsHvz2SggPslHnLRIs2xvLMoSPKlmfGnYM8bwLklYuh5LI8k4iIiMyskth17twZBoMBhw8ftsbbE5GNcNQITOodiiB3RwCAAmDh3iu4kFGgbmC1gHBwgHTvw5BmLYHo0sc8oChQdv4GeerLkHf+BoUfoBERERGslNg9/PDDCAoKwrJlyxAXF2eNWxCRjfB00mBKqU6ZBQYFc7bHI5OdMquF8PaD9OJ4SBPmAMENzAO6HCgrF0OePxHKRZZnEhER1XVW2cdux44dyMnJwQ8//AC9Xo/27dujZcuW8PLygiTdOJfs06fPDceI+9iRbfs7IRezd8RDvjYdw+u5YPY9DeCoMf/Mc77cGsVggPLnL1B+XgMU5psHhDDue/foMxBuHuoFWM04X8gSnC9kCc4XsoS97GNnlcRu2LBhlgciBNasWVPdodQqa9euRVRUFJycnLBy5UoATOzItvx0Kh3LDyebju9q7ImxdwZDCOPeCJwv1UPJSIPyw3Ioh3aVHXD3gBj0fxA97oGo4EM0e8H5QpbgfCFLcL6QJewlsXOwxpvWq1fPGm9b5w0cOBARERFqh0F0Qw+F++BSViG2ns8CAGy7kI2GXk4Y1NpP5chqF+HjBzHyDSi9+0Ne/RmQeNk4kJsDZcUiKLu2QHrqJYiwZuoGSkRERDXGKit2VHO4Yke2pqhYwfQ/L+HfZGOpoADwZp8QdA314HyxAsVQBOWPjVB++Q4oLNW0RgiIPgMgHnnabsszOV/IEpwvZAnOF7KEvazY2X+tDhHZFEeNwOReIQgs3SlzTyIuslOmVQgHR0j9H4U0cwlE517mAUWBsv1XY/fM3b+zeyYREVEtx8SOiKqdp7MDpvYJhYtDSadMGXN2xCM9T69yZLWX8K0HaeQbkMbNAoJCzQO52VC++QTyu5OgXDqvXoBERERkVTVSinn58mWcP38e2dnGDXU9PT3RrFkzhIaG3uSVdDMsxSRb9ldCLmZvj0fJDL29vic+HtQWWRlpqsZV2ymGIihbf4byyxpAX2geEBJExACIh5+GcHNXLb7K4u8XsgTnC1mC84UsYS+lmFZpnlLiyJEjWLVqFS5dulTueMOGDfH000+jXbt21gyDiFTSKcQdwzv446vDxl+Ex65kY8Gf5zCyvbepUyZVP+HgCDFgMJQuvaGsXQ7l7z3GAUWGsm0TlL/2QAweDnHnXbWieyYRERFZsRRz8+bNmDdvnimpkyQJXl5eZfayu3TpEubOnYvNmzdbKwwiUtnD4b7o28TLdLzp5FX8eCpdxYjqDuHrD+mlSZBenwEEhpgHcrKgfP0R5AWToVyKVS9AIiIiqjZWWbG7ePEivv76awBAs2bN8Nhjj6F169ZwdDQ2UygqKsK///6LdevW4ezZs/jmm29w2223ISwszBrhEJGKhBB4uUsgEnP0OJli7JT5zT8pCPV0QudQ2y8HrA1EqzsgTf8YytafoGz83lyeef405NnjIO66H+LhJyFc+edBRERkr6yyYrdx40YoioKOHTti1qxZaN++vSmpAwBHR0e0b98eM2bMQMeOHSHLMqKjo60RChHZAEeNhMm9QxDs6QTA2Cnz/T1XEJdZWPELqdoIR0dI9w2BNHMJ0KG7eUCRofy50dg9c++fqj6zS0RERFVnlcTu1KlTAIDhw4ebyi7LvbkkYfjw4QCAf//91xqhEJGN8HJ2wIKHWsPVUQPA2Clz9vZ4ZBUYVI6sbhF+/tC8PBnS2HeAgPrmgZwsKF/9D/KCN6HEX1AtPiIiIqoaqyR2mZmZcHV1RUBAwE2vDQgIgKurKzIzM60RChHZkKb13DDjvpYoaZuSrCvC/J0JKCrmKlFNE206QHrnE4hHnga0WvPAuZOQZ70Oec0yKHk61eIjIiIiy1glsdNqtdDr9SguLr7ptcXFxdDr9dCW/ocFlUun0yE5ORnJyclqh0JUZT2a+OHZO/xNxydT8vHpoSSWAKpAODpCGjjUWJ55RzfzgCxD+eMXyNNehrxvG/9siIiI7IBVErvQ0FAYDAbs37//ptfu27cPBoOBe9pVQnR0NCIjIzF+/Hi1QyG6JY/e5ou7m3iajreez8LPpzNUjKhuE34B0Ix+C9Kr04GAUnvwZGdCWf4h5PfehBJ/UbX4iIiI6Oas0hWzW7duOHv2LL744gt4eHjg9ttvL/e6Y8eO4csvvwQA3HnnndYIpVYZOHAgIiIi1A6D6JYJITC6SxASc4pw6lqnzK//SUaIpxadQtiZUS2ibUdI4Z9A2fIjlE1rAb3eOBBzEvKs1yDufhDioScgXFzVDZSIiIiuIxQr1NgUFRVh8uTJiI+PBwC0aNECbdu2ha+vL4QQSEtLw/Hjx3H27FkAQIMGDTB//nw4OFh1v/RaKTExUdUyKX9/Y0ldSkqKajGQ/fjvfMksMOCNzReRrDM2UHFxkLCgfxgaejupFiMZKalXIX//JXDkP5UXXj4QQ56D6NrH6pvM8/cLWYLzhSzB+UKWqMx8EUIgODj4huM1wSqJHQCkp6fjgw8+wLlz5yq8rlmzZhg/fjx8fX2tEUatx8SO7El58+ViRgEmbYlDgcE4jwPdHfF+/zB4OvODHlugHP8L8nefAylJZQdatIb05EsQIdbbf5S/X8gSnC9kCc4XskSdT+wAQJZl7N+/H3v37kVsbCyysrIAAF5eXmjSpAl69OiBrl27VrglAlWMiR3ZkxvNlwPxOZi3IwElM7l1gAtm3N0QjhrrrghR5ShFeii/rYeyKQoo0psHJAmi74MQD1qnPJO/X8gSnC9kCc4XsgQTO6oRTOzInlQ0X9b9m4YVR8zn723qhTFdg6xe7keVp6QkQf7+C+DowbIDXr4Qjz0H0aV3tf558fcLWYLzhSzB+UKWsJfEzipLZcOGDcPjjz+OpKSkm19MRARgUCtf3NXY3Cnz9/NZ+OUMO2XaEuEfBE3kVEiR04B6geaBrHQoX3wA+YOpUBIuqRcgERFRHWa1feycnZ0RFBRkjbcnolpICIHRXYPQsp6L6dxXh5Pxd0KuilFReUS7zpBmLIJ48AnAwdE8cOY45FljIf/wFZSCPPUCJCIiqoOsktj5+vpWanNyIqLStBoJb/UOgb+rsXGKrADv77mCS1mFKkdG/yW0TpAeegLSzMVA207mgeJiKFs2QJ42GvKhXdzcnIiIqIZYJbHr0KED9Ho9Tp48aY23J6JazNvFAVMiQuHsYHxWK69Ixpzt8cguMKgcGZVH+AdB8+rbkCKnAn4B5oHMdCifvwd54TQoiZfVC5CIiKiOsEpi9+ijj8LT0xPLli1DRgafkSEiyzT2cca47vVR0oYjKbcI7+5KQFExV39slWjXBdLMxRAPPF62PPP0McgzXoUc9TWUgnz1AiQiIqrlrNIV8+TJk0hKSsI333wDSZLQq1cvhIeHw9PTs8KtDVq1alXdodR67IpJ9sTS+RL1bxpWluqU2a+ZF0Z3YadMW6ckJ0Jesww4/lfZAW8/SMNGAB17VOrPkL9fyBKcL2QJzheyhL10xbRKYjds2DDLAxECa9asqe5Qaj0mdmRPLJ0viqLgf/sSsf1CtuncCx0D8GC4r1Xio+qjKApw9ADkNV8AacllB29rB+mJURDBoRW+B3+/kCU4X8gSnC9kCXtJ7GxmZ3A+YE9E/yWEwJiuQWhZz9l0bvnhZBy+wk6Ztk4IAdG+G6QZiyEGDgUcHMyDp44ayzPXfQOlsEC9IImIiGoRblBu57hiR/akqvMlM9+A8ZsvIjXP2EDF1VHCgv5haODlVO0xknUoV69AXvM5cOJw2QHfepCGjgA6dL+uPJO/X8gSnC9kCc4XsoS9rNhZJbFLTU0FAHh6ekKr1Vb329uVbdu2YefOnbh06RKKiooQHByMBx54AL169aqW92diR/bkVuZLbHoBJm+JQ+G1BipB7o54b0AjeDppqjVGsh5FUYAjB4zP36X/Zw60ag/piZEQQebyTP5+IUtwvpAlOF/IEvaS2FmlFHPMmDGIjIxEbi7LpY4fP46OHTvizTffxIIFC9CjRw8sWrQIe/fuVTs0IrvSxNcZr/eobzpOyi3Cgl0JMMgsOrAXQgiIO7pBmrkE4v7/lGeePAL5nVchr1/B8kwiIqIqcLj5JZZzdnaGRqOBr2/NNjiIjY3FsWPHcO7cOcTExCAjIwOOjo5YtWpVha/T6/X48ccfsWfPHqSmpsLd3R3t2rXDsGHD4Ofnd0sxvfrqq2WOH3roIfz777/Yu3cvunfvfkvvTVTX3NnAA0+3q4dvjxqrAo5fzcOyv67ipc6B7JRpR4STE8SjT0O58y7I330OnPzHOFBsgPJrFJQD2yENewFKv4f450pERFRJVlmx8/f3R2FhIWRZtsbb31BUVBRWr16NgwcPVnr/PL1ej1mzZiEqKgoFBQXo1KkT/Pz8sH37dkyaNAlJSUnVHqdOp4Onp2e1vy9RXTCktR96NzL//GyOycSms5nqBURVJoJCIL32DqSXJwO+9cwD6amQl85HxszXYbjCzc2JiIgqwyordp07d8b69etx+PBhdOrUyRq3KFeLFi3QqFEjNG3aFE2bNsXIkSNv+poNGzbgzJkzaNGiBaZOnQpnZ2P3vY0bN2LFihVYunQpZsyYYbo+Nzf3piWmLi4u8PLyKnds+/btOH/+PJ5//nkLvjIiKiGEQGTXICTm6BGTZizZ++Lvqwjx1KJ9sJvK0ZGlhBBAh+6QWneAEr0WypYfgWJjkxz9PweQ+upTEP0ehbj/MQgnNsshIiK6Easkdg8//DD27t2LZcuWwd/fH2FhYda4zXUeeeQRi643GAzYvHkzAGDEiBGmpA4AHnjgAezYsQOnTp1CbGwsmjRpAgDYtGkToqKiKnzfPn36YMyYMdedP3ToEJYtW4aRI0ea3o+ILOfkIOGtPqGYsPki0vIMkBVgwa4ELBgQhlBP/uPfHgknZ4hBz0Lpfve18swjxgFDEZRNa6Hs3wbp8ReB9l1ZnklERFQOqyR2Bw4cwL333osffvgBkydPRvv27dGyZUt4eXlBkm5c/dmnTx9rhHNDp0+fhk6nQ2BgIBo3bnzdeNeuXREXF4e//vrLlIgNGTIEgwcPrvB9y/tHx549e7BkyRK8+OKLiIiIqJb4ieoyXxcHTOkTislb4qAvVqArkjFnezwW9G8ED3bKtFsiKBTSazOAw3uBH76CXLK5eXoK5CVzgTYdIT3xIkRA/YrfiIiIqI6xSmK3ZMmSMseHDx/G4cOHb3C1kRCixhO7uLg4ACg3qQNgSuZKrgNQYWJ6I1u3bsVXX32F0aNHo0ePHlWIlIjK09TXGa93D8a7u64AAK7kFGHB7gRMv6sBHCSu6tgrIQTQsQf8+vSD7oevoftpNVBcbBw88Tfk6UchBgyGGDCE5ZlERETXWCWxq1ev3s0vsgEl++3dqPNlSVfPkuuqYuPGjfj2228xYsQItG7dGpmZmQCMCWJlGqiMGzfuunNarRbz588HoP732uFau/KS/T2IKmKN+fKwvz/SDY5Yts/4AcyxpDysPpmN8Xc1q7Z7kDocHBygff5VuNx1P7KXfQD9sb+MAwYDlI3fQzq4Ex4vvA6nzj1Znkn8+4gswvlClrCX+WKVxG7x4sXWeNtqV1BgbLzgdINPfEueuSu5rip+/fVXyLKMZcuWYdmyZabz/v7+dvN9IrJ1w7s0wIW0PGw9a9w4dN3RRDT2dcWgdizXqw0cGjSCz4yPUbDnD+R89THkNOOfc3FyIjLnToRTp+7wGPE6HIJDb/JOREREtZdVEjt7oSgVb2x8s/HKuNXkbeHChRWOp6amVkucVVXyyUVKSopqMZD9sOZ8GXmHDy6m5uBcuvGDmIXbz8NT0qNdEDtl2qvr5kvLdsA7iyA2roGy9WdTeWbhX3tReOSQsTzzvsEQWpZn1kX8+4gswflClqjMfBFCIDg4uKZCKpdV9rGz1NmzZ3Hy5Mkav6+LiwsAoLCwsNzxkvOlu2WqSafTITk5GcnJyWqHQmRzjJ0yQ+DrYvy8qqRT5pVsvcqRUXUSzi6QhjwH6e2PgJZtzQOGIigb10CeHgnl6CH1AiQiIlJJtSR2w4YNw6hRo8od+/rrr7F06dIKX//+++9j5syZ1RGKRUqeT0tLSyt3PD09vcx1aouOjkZkZCTGjx+vdihENsnP1RFv9QmBVmN83ipXL2P2jnjk6otVjoyqm6jfENL42RAj3wC8fc0DqVchL5qF4kWzoaQkqRcgERFRDbP6it3evXuxffv2m16nRjlhyf56Fy5cKHc8Nja2zHVqGzhwIBYtWoQPPvhA7VCIbFZzPxeMvdNcCpGQrcd7u6+gWFavZJmsQwgBqXMvSLOWQPR7FNCU2ubi6EHIb4+B/PN3UPTlV2UQERHVJjZRiqmW8PBwuLq64urVq+UmdwcOHAAAdOjQoaZDK5ebmxsCAgIQEBCgdihENq1nmCceb2vudnskUYflh1nCXFsJZ1dIjz0HaVo55Zm/fAf5nVegHGN5JhER1W51OrFzcHDAgAEDAADLly8v0/1y48aNiIuLQ3h4OJo1s4226XzGjqjyhrWthx4NPUzHG89k4LeYTPUCIqsTIdfKM18YD3iVKs9MSYL8CcsziYiodqtVXTEPHz6MdevWlTlnMBgwZcoU0/HgwYPLrMANGjQIx48fx5kzZzB27FiEh4cjNTUVMTEx8PDwwOjRo2ss/puJjo5GVFQUnJycsHLlSrXDIbJpkhAYe2cwknL1OJ9uLMX77FASgj0ccTs7ZdZaQgiIrn2g3N4Zyi/fQfnjF0CWjYNHD0I+eQTi/iEQ/QdBOGrVDZaIiKga1arELjs7GzExMWXOKYpS5lx2dnaZca1Wi+nTp2PDhg3YvXs3Dh06BDc3N/Tp0wfDhg2zmcYpgPEZu4iICLXDILIbxk6ZoZiwOQ4Z+QYUX+uU+d6ARgj24D/qazPh4goxdASUHvdAXv0pcPZf40CRHspPq6Hs/RPSE6Mg2nZUN1AiIqJqUqsSu4iIiColPlqtFsOGDcOwYcOqP6hq5ObmBjc3rjQQWaKeqyPe6h2CKVsvQV+sIEcvY/b2eCzoHwY3rebmb0B2TYSEQZowF8qBHVCivgKyMowDKUmQP54BtO8GadgIiHqB6gZKRER0i+r0M3ZEVDe0qOeCV7qZO2XGZ+vxPjtl1hlCCEjdIiDNXAJxz0OAVOqvviP7IU8fAzl6LZSiIvWCJCIiukVM7OwIm6cQVV3vRp4Y2sbcKfNwog5f/8OfpbpEuLpBGvYCpGkfAs1amQf0eig/fgv5nUgoJ/5WL0AiIqJbUG2lmJmZmRWWMtp6maM9YPMUolvzxO31cDlLj32XcwAAP5/OQEMvJ9zbzFvdwKhGidDGkCbOg7J/u7E8MzvTOJCcCPmjGUCHOyENfQHCz1/VOImIiCxRq56xq+3YPIXo1khC4LXuwbi6RY/YDGOnzE8PJaG+hxatA11Vjo5qkhAC4s67oLTrAuXn1VD+jAaUa90zD++DfOJviIHDIO59BMLRUd1giYiIKqFaErshQ4ZUx9vQTbB5CtGtczZ1yryIzIJiGGRg3q4EvN8/DEHslFnnCFc3iMdfNHfPPHfKOKDXQ9mwEsqePyA9OQqi9R3qBkpERHQTQlEUdg+wY4mJiVDzj9Df31iqlJKSoloMZD9sab6cSc3HlN8voehaA5UGXlos6B8GV0d2yrQVNT1fFFmGsn8blKivgZyssoMduhu7Z/qyPNNW2dLvF7J9nC9kicrMFyEEgoODbzheE9g8xY6weQpR9WlZzwWR3YJMx5ez2CmzrhOSBKl7X0izl0Lc/QAgSv0VeXgv5GmjIf8aBcXA7plERGR7mNjZkejoaERGRmL8+PFqh0JUK0Q09sKQ1uZOmX9f0WHFEX56W9cJV3dIT4yENHUh0DTcPKAvhLJ+BeQZr0I5eUS1+IiIiMrD5il2hM1TiKrfU+3q4XJWIQ7E5wIAfjyVjgZeWtzT1FvdwEh1omETSBPnQ9m3Dcq6r83lmUkJkD98G6JjD4ihIyB866kaJxEREcAVO7vi5uaGgIAABAQEqB0KUa0hCYHXu9dHYx8n07mlB5NwMjlPxajIVghJgtSjL6RZSyHuur9Meaby9x7Ib4+GvHkdyzOJiEh1TOyIqM5zcZTwVu9QeDkbG6cYZGDezgRczdWrHBnZCuHmDunJlyBN+QBo0tI8UFgAZd03kGeMhXLqqHoBEhFRncfEjogIQIC7I97sHQIHSQAAsguLMWd7AvKKilWOjGyJCGsKadK7EP/3CuDuaR5Iioe8cBrkz9+DkpGmXoBERFRnMbGzI+yKSWRdt/m7YkxXc6fMuKxCLNyTyE6ZVIaQJEg97zV2z4y4DxDCNKYc2mXsnvnbBigGg3pBEhFRncPEzo6wKyaR9d3dxAuDWvmajg8l5OLbo+yUSdcTbh6QnnrZWJ7ZuIV5oDAfStRXkGeOhXL6mHoBEhFRncKumHaEXTGJasbT7fxxOUuPQwnGTpnrT6ajgZcT7m7ipXJkZItEWDNIkxdA2bMVyvpvgNwc40DiZcgfTIXo0hvisecgvP0qfiMiIqJbwBU7O8KumEQ1QyMJjOsRjDBvc6fMxQeScCqFnTKpfEKSIPXqZ+ye2XtA2fLMgzshTx0NecuPLM8kIiKrYWJHRFQOV0cNpvQJgZdTSadMBfN2JiA5l23t6caEuyekZ0ZDeut9oFFz80BhPpQflkOe9RqUMyfUC5CIiGotJnZERDcQ6K7F5N4hcLj2mzKroBhzdsQjv0hWNzCyeaJRc0hvvgfxzBjAzcM8cOUS5PffgrzsAyiZ6eoFSEREtQ4TOyKiCrQKcMXLXcydMi9mFuLDvVcgK+yUSRUTkgSpd39j98ze/f9TnrkD8rSXIf/+E5RibqlBRES3jokdEdFN3NPUG4/cZu6UeSA+F6uOpqoYEdkTY3nmGEhvvgeENTMPFORDWfulsTzzLMsziYjo1jCxsyPcx45IPc+290en+m6m46h/07D9QpaKEZG9EY1bQHrrPYinRwOu7uaBhDjI770F+cuFULIy1AuQiIjsGhM7O8J97IjUo5EExvesj4ZeWtO5RfuTcCY1X8WoyN4ISQOpzwBIsz+F6NWvzJiyf7uxPHPrzyzPJCIiiwlF4YMi9kKn00Gn0wGAacuDxMREqPlH6O/vDwBISeEGznRztWG+JOXoMeG3OOQUGv/h7e2swfsDGsHfzVHlyGqf2jBfbkY5fxry6s+AS+fLDoQ2gvTkSxDNW6kTmB2qC/OFqg/nC1miMvNFCIHg4OCaCqlcXLGzI9zHjkh9QR5avNnL3Ckz81qnzAIDO2WS5UTTcEhT3od46iXA1Vzqi/iLkBdMhrz8QyjZLM8kIqKbY2JHRGSh1oGueKmzuVPmhYxC/I+dMqmKhKSBFHG/sTyzxz1lxpR92yBPfRnyHxtZnklERBViYkdEVAX3NvPGg+E+puN9l3Px3TF2yqSqEx5ekIa/CmnyAqBBY/NAfh6UNZ9Dnj0OyrmT6gVIREQ2jYkdEVEVPXdHADoEm8vn1p5Iw86L2SpGRLWBaBoOaepCiCdH/ac88wLkdydD/uojKNmZqsVHRES2iYkdEVEVaSSBCT3rI9TT3Cnz432JOMtOmXSLhKSBdNdASLOWQnTvW2ZM2fuHsTxzWzQUmeWZRERkxMSOiOgWuGk1mBoRCg+t8ddpkaxg7s4EpOUVqRwZ1QbC0xvSc2MhTZoPhJYuz9RBWf0Z5DnjoZw/rV6ARERkM5jYERHdomAPLSb1DoFGGI8z8g2YsyMBheyUSdVENGtlLM98YiTgUqo881Is5PkTIX/9MZScLPUCJCIi1TGxsyM6nQ7JyclITk5WOxQi+o+2gW4YVapT5vn0Any0L5GdMqnaCI0G0t0PQJq9BOLOu8uMKXu2Qp76EuRtm1ieSURURzGxsyPR0dGIjIzE+PHj1Q6FiMrRv7k3BrY0d8rccykH3x9np0yqXsLTB9Lzr0GaOB8IbWQeyNNBWf0p5DkTWJ5JRFQHOagdAFXewIEDERERoXYYRFSBER0CkJCtx5FEHQBgzfE0NPByQs8wT5Ujo9pGNG8FaeqHULZvgvLTKiA/zzhw6Tzk+RMhet4LMehZCA8vdQMlIqIawRU7O+Lm5oaAgAAEBASoHQoR3YBGEnijZ32ElOqU+dG+RMSksVMmVT+h0UDq+6Cxe2a3u8qMKbt/N3bP3P4ryzOJiOoAJnZERNXMXavB1D6hcL/WKVNfrGDuDnbKJOsRXj6QRrwO6Y25QEiYeSAvF8qqpZDnvgHlwln1AiQiIqtjYkdEZAX1PbWY1CsE0rVOmen5BszbyU6ZZF2iRRtIUz+EGDYCcHYxD8SdgzzvDcgrFkHJyVYvQCIishomdkREVnJ7kBtGdgo0HcekFeCT/YlQ2CmTrEg4OEC652FjeWbXPuYBRYGyawvkaS9D3rmZ5ZlERLUMEzsiIiu6r4UP7m/hbTreFZeDtSfS1AuI6gzh7QvphfGQJswF6jc0D+hyoKxcAnneRCgXYtQLkIiIqhUTOyIiKxvRMRC3B7majlcfS8XeSyyHo5ohWraBNO1/EI89DziVKs+8GAN53gTIK5dAyeV8JCKyd0zsiIiszEESmNQzBPU9HE3nPtybiPPpBSpGRXWJcHCA1O8R4+bmXf5Tnrlzs7E8c9cWKDKfASUisldM7IiIaoC7kwZTIkLhVqpT5pwd8UjPN6gcGdUlwtsP0ovjIU2YAwQ3MA/k5kBZsQjy/IlQ4s6pFyAREVUZEzsiohoS6umEiT3NnTLT8gyYtyMe+mKuklDNEi3bQnr7I4ghz5Utz7xwFvKc8ZBXLYWiy1EvQCIishgTOyKiGtQ+2A0vdDR3yjybVoBP9iexUybVOOHgAKn/o5BmLYHo3Ms8oChQtv9q3Nyc5ZlERHaDiR0RUQ27v4U3BjT3Nh3vvJiNqH/ZKZPUIXz8II18A9K4WUBQqHkgN7tUeeZ59QIkIqJKYWJnR3Q6HZKTk5GcnKx2KER0C4QQeLFTINoGmjtlfns0Ffsus/SN1CNuawdp+kcQQ4YDTs7mgQtnIc8ZB3nVp1B0uarFR0REFWNiZ0eio6MRGRmJ8ePHqx0KEd0iB0lgYq8QBLmX6pS55wpi2SmTVCQcHCH1HwRp5hKITj3NA4oCZfsmY/fMPVtZnklEZIOEwgc77IZOp4NOpwMABAQEAAASExNVfTbH398fAJCSkqJaDGQ/OF+udzmrEBN/i0NekfEfyvVcHfD+gEbwcXFQOTL1cb6oTzl5BPJ3nwFJCWUHmoZDenIURMOm6gRWDs4XsgTnC1miMvNFCIHg4OCaCqlcXLGzI25ubggICDAldURk/xp4OeGNnvVNnTJT8wyYt5OdMsk2iFbtIU3/GGLQ/wFaJ/PA+dOQZ4+HvPozKHkszyQisgVM7IiIVNahvjue72D+wOZMagEWH2CnTLINwsER0n2DIc1aAnTsbh5QZCjboo3dM/f+wfJMIiKVMbEjIrIBD7T0Qb9mXqbj7Reysf5kuooREZUlfP2heWkypNdmAIEh5oGcLChffQT5vTehXL6gXoBERHUcEzsiIhsghMDITkFoE2DeLHrlkRQciGenTLItovUdxvLMR58BtFrzwLlTkGe9DnnNMih5OvUCJCKqo5jYERHZCEeNwKRSnTIVAAv3XMHFDHbKJNsiHB0h3f8YpJlLgQ53mgcUGcofvxi7Z+7bxnJiIqIaxMSOiMiGeDo7YEqfULg4GH89FxgUzN4ej8wCg8qREV1P+PlD8/KbkMa+AwTUNw9kZ0JZ/iHkBW9CiWd5JhFRTWBiR0RkYxp6O2FCqU6ZKXkGzN+ZgCJ2yiQbJdp0gPTOJxCPPP2f8syTxvLM779geSYRkZUxsSMiskGdQtwx/A5zp8xTKflYcvAqS9vIZglHR0gDh0KauQS4o5t5QJahbP0Z8tujIe/fzjlMRGQlTOyIiGzUQ+E+uKepuVPmn7FZ+PEUO2WSbRN+AdCMfgvSq9MB/yDzQFYGlC8XQn7/LSgJceoFSERUSzGxIyKyUUIIvNQ5CK38zZ0yv/knBYfiuSE02T7RtiOkGYsgHn4KcCxVnnn2X8gzx0L+/kso+XnqBUhEVMswsSMismGOGoHJvUMQ4GbulPn+niuIyyxUNzCiShCOWkgPDIM0YxHQvqt5QJahbP0J8rTRkA/sYHkmEVE1YGJHRGTjvJwdMDUiFM6mTpkyZm+PRxY7ZZKdEP5B0IyZAumVaf8pz0yH8sUHkN+fAiXhknoBEhHVAg5qB1Db7d+/Hz/99BOSkpKg1+vh6+uLHj16YMiQIXBw4LefiConzNsJE3rUx5wd8VAAJOuKMH9nAmb2bQhHjVA7PKJKEbd3hnRbOyib10P5NQoo0hsHzp6APGssRN8HIR58HMLZVd1AiYjsEDMLK3N3d8fDDz+MkJAQODk54eLFi/j888+Rl5eH559/Xu3wiMiOdA51x7N3+OObf1IAACdT8vHpoSREdg2CEEzuyD4IRy3Eg49D6RYB+fsvgKMHjQPFxVC2/Ajl4E6Ix56H6NyL85qIyAK1KrGLjY3FsWPHcO7cOcTExCAjIwOOjo5YtWpVha/T6/X48ccfsWfPHqSmpsLd3R3t2rXDsGHD4Ofnd0sxtWnTpsxxQEAATp48iePHj9/S+xJR3fTobb64nFWIP2OzAQBbz2ehoZcTHr7NV+XIiCwj/IOgiZwK5ehByGuWAalXjQOZ6VCWvQ9l52+QnhwFUb+huoESEdmJWpXYRUVF4a+//rLoNXq9HrNmzcKZM2fg4+ODTp06ISUlBdu3b8fhw4cxe/ZsBAUF3fyNKik+Ph5HjhzB7bffXm3vSUR1hxACo7sEITGnCKdS8gEAX/+TjFBPLTqGuKscHZHlRLsu18oz10H5dR1gKDIOnDkOeeZYiHsegnhgGMsziYhuolYldi1atECjRo3QtGlTNG3aFCNHjrzpazZs2IAzZ86gRYsWmDp1KpydnQEAGzduxIoVK7B06VLMmDHDdH1ubi5ycytuNe7i4gIvL68y55555hkUFxfDYDDgnnvuwfDhwy3/AomIADhqJEzuHYI3Nl9Ess4AWTF2yny3fxgaejmpHR6RxYTWCeKhJ6F0u8u4enf82oe0xcVQftsA5cBOiKEjIDr1YHkmEdEN1KrE7pFHHrHoeoPBgM2bNwMARowYYUrqAOCBBx7Ajh07cOrUKcTGxqJJkyYAgE2bNiEqKqrC9+3Tpw/GjBlT5tx7770HvV6P8+fPY/Xq1fD29sbQoUMtipeIqIS3swOm9AnFpC1xKDAoyCuSMWd7PN7rHwZP51r1q53qEBEQbOycWVKemZZsHMhMg/L5Aii72kF6YhREcKi6gRIR2aA6/bf/6dOnodPpEBgYiMaNG1833rVrV8TFxeGvv/4yJXZDhgzB4MGDK3zf8j5NLCnnbNiwIYQQWLp0KR566KEyySQRkSUa+ThjXPf6mLczAQqApNwivLsrAe/czU6ZZL+EEED7rpBatYfy6zoom0uVZ546CnnGqxD3PgwxcCiEs4u6wRIR2ZA6vY9dXFwcAJSb1AEwJXMl1wGAJEnQaDQV/k+SKvdtLS4uvsWvgIjquq4NPPB0e3/T8YnkfHz+VxI3fCa7J7ROkB5+EtKMT4A2Hc0DxQYom9dBfnsMlL/3cK4TEV1Tp1fsUlNTAeCGnS99fX3LXFcVUVFRaN68OQIDA6EoCs6dO4dVq1ahU6dOcHNzu+nrx40bd905rVaL+fPnAwDq1atX5diqQ8lefP7+/je5kojzxVpe6lMPKYUCm08Zy9a2nMtCqxA/DL0jROXIbg3nCwEA/P2hzPoEhQd2IvvL/0FOSTKez0iF/Om70LbrAs+R4zhfyCKcL2QJe5kvdTqxKygoAAA4OZXfbKCkTLLkuqrQ6/VYvnw50tLSoNFo4O/vj4EDB+L++++v8nsSEZUmhMCkvs1xOSMf/yblAAA+3hmLhj6u6NbIR+XoiG6dEALO3frA6Y6uyI36BroNq0zlmfqjB5E69ml4PPIUPB4fATg4qhwtEZE66nRid7Pyjeoo73jyySfx5JNPVvn1CxcurHA8NTVV1TKUkk8uUlJSVIuB7Afni3VN7B6I8ZvzkZpn7JQ5LfokFvQPQ6iddsrkfKFy9RsEqV03yN99Bvz7j/GcwYCcqG+g274ZGPIc0OFOds+kCvH3C1miMvNFCIHg4OCaCqlcdfoZOxcX40PXhYWF5Y6XnGeDEyKyB94uxk6ZTtcap+iKZMzeEY+cQj7PS7WLCKwPaew7kF5+E/A1l0bJqVchfzof8kfvQElKUDFCIqKaV6cTu5Ln09LS0sodT09PL3Od2nQ6HZKTk5GcnKx2KERko5r4OuP17vVNx4k5RViwKwEGmQ0mqHYRQkB0uBPSzMUQ9z8GOJQqQvr3H8gzXoG8YSWUwqo/TkFEZE/qdGIXFhYGALhw4UK547GxsWWuU1t0dDQiIyMxfvx4tUMhIht2Z0MPPNXO/IHUsat5WPbXVXYPpFpJODlDevQZ1PtoFbTtu5oHDAYom34wds88vI/zn4hqvTr9jF14eDhcXV1x9epVXLhw4bptDw4cOAAA6NChgxrhXWfgwIGIiIhQOwwisgOPtfbD5Sw9dl7MBgBsjslEQy8nDGzJZipUOzmENITP9A+R8tvPkL//Asi41tE6PQXy0nlAmw6QHh8JEVi/4jciIrJTdXrFzsHBAQMGDAAALF++vEz3y40bNyIuLg7h4eFo1qyZWiGW4ebmhoCAAAQEBKgdChHZOCEEIrsGobmf+RnhL/6+iiOJOhWjIrIuIQREx+6QZi2BuG8woCn1+fWJw5DfiYT847dQbvBsPRGRPRNKLapNOHz4MNatW2c6jomJgRCiTGI2ePDgMitwer0eM2bMQExMDHx8fBAeHo7U1FTExMTAw8MDc+bMQVBQUI1+HTei0+mg0xn/UVaS3CUmJrIrJtkNzpeal55vwITNF5GWZwAAuGklvNe/EUI8tSpHdnOcL2SJ8uaLkhQPefVnwKmjZS/2C4D0+AtAu67snllH8fcLWYJdMVWQnZ2NmJgY0/8A45YFpc9lZ2eXeY1Wq8X06dMxePBgaLVaHDp0CMnJyejTpw/effddm0nqAD5jR0SW873WKVNb0ilTL2P29njkslMm1QEiKBTS6zMhjZoIePuZB9KSIS+eC/mTWVCSE9ULkIioGtWqFbvajit2ZO84X9Sz51I2Fuy6YjpuF+SKt+9qAAfJdlcrOF/IEjebL0pBPpSN30PZ+hNQXOqDDQdHiAGDIe4bDKG1zz0fyXL8/UKW4IodVTs+Y0dEVdWjoSeeuN3cKfNoUh6+/PuqihER1Szh7AJpyHBI0z8Gwm83DxiKoGxcY+yeefSgegESEd0iJnZ2hPvYEdGtGNbGDz3DPEzHm85m4tezGSpGRFTzRHADSONmQYycCHj7mgfSkiEvmo3iT2ZBSUlSL0Aioiqq09sd2Jvo6GhERUXByckJK1euVDscIrIzQgi82i0YSTlFOJdu7AL8+V9XEeKpxe1BbipHR1RzhBAQnXtCadvhWnnmz+byzGOHIJ88AnHfEIgBg1ieSUR2g8/Y2RE+Y0f2jvPFNqTlFWHC5jik5xs7Zbpf65RZ38Y6ZXK+kCVuZb4oVy4Zu2eeOV52oF6gce+7dp2rI0SyIfz9QpbgM3ZU7fiMHRFVBz9XR7zVJ8TUKTNXL2P2jnjk6tkpk+omUb8hpPGzIV6cAHiVKs9MvQp50SwUL5rN8kwisnlM7IiI6qDmfi4Ye6f5k8WEbD3e230FxTKLOKhuEkJA6tLbuLl5v0cAqdQ/kY4ehDw9EvIva6AU6VWLkYioIkzsiIjqqJ5hnni8rXlvryOJOiw/zOZMVLcJF1dIjz0P6e2PgBZtzANFeig/r4Y8PRLK8b/UC5CI6AaY2NkRdsUkouo2rG09dG9o7pS58UwGfovJVC8gIhshQsIgTZgD8cJ4wMvHPJCSBPnjmShePAdKKrcMISLbwcTOjkRHRyMyMhLjx49XOxQiqiUkIfDancFo6mvu/PfZoSQcv6pTMSoi2yCEgNS1D6RZSyHuebhseeaRA5DfHgN54/cszyQim8CumHaEXTHJ3nG+2K7Ua50yM651yvTQSnhvQCMEe6jXKZPzhSxRE/NFib8IefWnQMzJsgMBwZCeGAnRpqPV7k3Vi79fyBLsiknVjl0xicha6rk64q3e5k6ZOXoZs7fHQ8dOmUQmIrQRpDfmQYx4HfD0Ng8kJ0L+aAaKl8yFksbHJYhIHUzsiIgIANCingte6Wb+tDE+W48P9rBTJlFpQghI3e4ylmf2fRAQpf4p9c9+yG+Phhy9FkpRkXpBElGdxMSOiIhMejfyxNA25k6Zf1/R4et/uAJB9F/C1Q3S4y9CevtDoFkr84BeD+XHbyG/8wqUE4fVC5CI6hwmdnaEXTGJqCY8cXs9dGvgbjr++XQGfj+XqV5ARDZMhDaGNHEexPOvAx5e5oHkK5A/egfFS+dDSeNzXERkfUzs7Ai7YhJRTZCEwOvd66Oxj7lT5qeHkvDv1TwVoyKyXUIISHfeBWl2OeWZh/cayzN/jYJiYHkmEVkPu2LaEXbFJHvH+WJfUnRFmLD5IjILjA1UPJ00eH9AGALda6ZTJucLWcKW5otyKdbYPfP86bIDQSHG7pmt7lAnMDKxpflCto9dManasSsmEdUkfzdHvNUnFI6SsVNmdmExZm+PR14RO2USVUQ0bAJp4nyI58aWLc9MSoD84XQUfzofSjoTCiKqXkzsiIjohlrWc0FktyDT8aUsPT7YzU6ZRDcjJAlS977G8sy7BpYtz/x7L+RpoyH/uo7lmURUbZjYERFRhSIae2FIa3OnzL+u6LDiCFcbiCpDuLpDenIUpKkfAE3DzQP6Qijrv4E8YyyUU0fVC5CIag0mdkREdFNPtauHrqHmTpk/nkrHH+cz1QuIyM6Ihk2N5ZnDXwXcPc0DSfGQF06D/NkCKOmp6gVIRHaPiZ0d4XYHRKSWkk6ZjbzNnTKXHEzCyWR2yiSqLCFJkHrcA2n2pxAR95cpz1T+2m3snvnbepZnElGVMLGzI9zugIjU5OIoYUqfUHg5awAABhmYvzMBV3P1KkdGZF+Emzukp16CNOUDoHEL80BhAZSoryHPfI3lmURkMW53YEe43QHZO86X2uFUSh6mbr0Mw7UGKmHeTpjfryFcHTXVeh/OF7KEvc4XRZah7NkKZf03QG5OmTHRuRfEY89D+Pjd4NVUVfY6X0gd3O6Aqh23OyAiW3CbvyvGdDV3yozLLMSHexMh83NCIosJSYLUq9+18sz7ACFMY8qhXcbumVs2QDEY1AuSiOwCEzsiIrLY3U28MKiVr+n4YHwuVrJTJlGVCTcPSE+9DOmt9/9TnpkP5YevIM8cC+XMcfUCJCKbx8SOiIiq5Ol2/ugcYu6Uuf5kOv6MzVIxIiL7Jxo1hzR5AcQzYwB3D/NA4mXI70+BvOwDKJlp6gVIRDaLiR0REVWJRhIY1yMYYV7mTpmLDyThVAo7ZRLdCiFJkHr3hzRrKUTvAWXLMw/uuFae+SPLM4moDCZ2RERUZa6OGkyJCIGnU0mnTAXzdiYgRcd27US3Srh7QnpmNKQ33wfCmpkHCvKh/LAc8uzXoZw9oV6ARGRTmNgREdEtCXTX4s3eIXC49jdKVkEx5uyIR36RrG5gRLWEaNwc0lvvQTwzGnArVZ6ZEAf5vbcgf7kQSma6egESkU1gYkdERLesVYArXu5i7pR5IaMQH+69wk6ZRNVESBpIvQcYyzN79Stbnrl/O+RpL0Pe+hOU4mIVoyQiNTGxsyM6nQ7JyclITk5WOxQiouvc09Qbj9xm7pR5ID4Xq46mqhgRUe0jPDwhPRsJafKC68szv/8S8qzXoJz9V70AiUg1TOzsSHR0NCIjIzF+/Hi1QyEiKtez7f3Rqb6b6Tjq3zRsv8BOmUTVTTRpaSzPfOplwNXcndZYnvkm5C8/hJKVoV6ARFTjHNQOgCpv4MCBiIiIUDsMIqIb0kgC43vWx8Tf4nA5Sw8AWLQ/CcEeWrSs56JydES1i5A0EBH3QenYHcr6FVB2/24aU/Zvg3L0AMTDT0FE3A+h0agWJxHVDK7Y2RE3NzcEBAQgICBA7VCIiG7I1VGDqX1C4XGtU2aRrGDujnh2yiSyEuHhBen/XjGWZzZsYh7Iz4OyZpmxe+a5k+oFSEQ1gokdERFVuyAPLSb3CoHmWn+HzIJizN0RjwIDO2USWYtoGg5pygcQT74EuJpLohF/EfK7kyEv/x+UbJZnEtVWTOyIiMgq2gS64qVSnTJjMwrxv72J7JRJZEVC0kC6635j98wefcuMKfv+hDx1NOQ/N7J7JlEtxMSOiIispl8zbzwY7mM63nc5B98dY6dMImsTnt6Qho81lmc2aGweyNdB+e5zyHPGQTl3Sr0AiajaMbEjIiKreu6OAHQINpeFrT2Rhp0Xs1WMiKjuEE3DIU1dCPHkKMClVHnm5QuQ350E+euPoGRnqhYfEVUfJnZERGRVGklgQs/6CPXUms59sj8RZ1PzVYyKqO4wlmcOhDR7CUT3/5Rn7vnDuLn5tk1QZJZnEtkzJnZERGR1bloNpkaEwkNr/GtHX6xg7s4EpOWxUyZRTRGePpCeGwtp0nwgtFR5Zp4OyupPIc8ZD+X8afUCJKJbwsSOiIhqRLCHFhNLdcrMyDdgzo4EFLJTJlGNEs1aGcszHx8JuLiaBy7FQp4/EfI3n0DJyVIvQCKqEiZ2RERUY24PcsPIzoGm4/PpBfhoXyIUdsokqlFCo4HU9wFj98w77yozpuz+HfLUlyFvZ3kmkT1hYkdERDVqQHMfDGxp7pS551IOvj+epmJERHWX8PKB9PzrkN6YB4SEmQfycqGs+hTynAlQYs+oFyARVRoTOyIiqnEjOgSgfalOmd8dT8WeOHbKJFKLaNEa0rT/QQx74T/lmechz3sD8opFUHL4M0pky5jY2RGdTofk5GQkJyerHQoR0S3RSAJv9KyPkFKdMv+3LxHn0gpUjIqobhMaDaR7HoI0cwlEt4gyY8quLcbumTs2szyTyEYxsbMj0dHRiIyMxPjx49UOhYjolrlrNZjaJxTupTplztkRz06ZRCoT3r6QRoyD9MbcsuWZuhwo3y6BPPcNKBdi1AuQiMolFD6xbjd0Oh10Oh0AICAgAACQmKhu0wF/f38AQEpKimoxkP3gfKHyHE3S4Z0/L0O+9qusuZ8z5tzTEKHBxiYrnC9UGfz9Yh2KwQBlWzSUn1cDBaX2nhQColc/iEefgXD3VC/AKuJ8IUtUZr4IIRAcHFxTIZWLK3Z2xM3NDQEBAaakjoioNmgX5IYXO5k7ZcakFeCT/eyUSWQLhIMDpHsfNnbP7NLHPKAoUHb+ZuyeufM3KDK3LSFSGxM7IiJS3f0tfHBfc2/T8a64HHx98LJ6ARFRGcLbF9KL4yFNmAP8f3v3HR5Vnf1x/H1veoVACCUhoBQDC4KCYAUsIAr+dAVl3bWsi8sq4IodBQQWECyrsFJWxYbKuhgEFRCxgQIiAisgJQkEo6GlkBAy6Zn7+2PIDAOhBJJMJvN5PQ/Pw9zvvTNn8DjJmXvuuc1buhZsR7DenYV92hNYv6g9U8STVNiJiEidcF/3plzYzDWN7/Xv0/gmJcuDEYnI8YwLOmM+MwPjtr9AUIhrYU8y9mcfw/7ebCzbEc8FKOLDVNiJiEid4G8aPHllLC0iApzbJn2eROohTcoUqUsMf3/MfrdgTp6N0aOXa8GysFYtxz72fuzfrVB7pkgtU2EnIiJ1RniQH2P6xBF2dFJmUZmdyavSOVRY5uHIROR4RsPGmH99DPPRye7tmflHsObNdLRnpu32XIAiPkaFnYiI1ClxkUE8cWUsfobjcXZBGVNXpVNSrm//ReoiI+FCzGemYwy+F4KCXQt7krFPeQT7+//GsuV7LkARH6HCTkRE6pyuzcP4e+/znY+Ts4uYue6AJmWK1FGGfwDm9b933Nz8kqtcC5aFtXKZoz1zzZdqzxSpQSrsRESkThrcpQW3dG7mfLzqlzwWbjvkwYhE5HSMRtGYwx7HfGQSNItzLeTnYb39L+zPj8b6Ve2ZIjVBhZ2IiNRJhmHwSJ82dG7qmpT57uZM1v2miXsidZ3RoQvm+BkYg+5xb8/cvRP75Eexz/83VoHaM0Wqkwo7ERGps/z9TJ64KpZm4a5JmS+v3ceeHE3KFKnrDP8AzP6DMP8xC6PbFa4Fy471zTLHzc3XfKX2TJFqosJORETqtMggP8b2iSM0oGJSpsXklenkalKmiFcwGjXBvP9JzIcnQtNY18KRw1hvzzjanpnquQBF6gkVdiIiUue1bBDE41e2wDw6KTOroIxnv92rSZkiXsToeBHm+H9h3Ho3BAa5FnbvxD75Eez/eU3tmSLnQIWdiIh4hYtbhPOXi2Ocj5OyCpn1gyZlingTIyAA84bBmP+YDd0udy1YdqyvlzjaM9d+rf+vRc6CCrtasnXrVoYMGcKIESM8HYqIiNcaeEEUfds0cD5euSePRds1KVPE2xiNm+B3/2jMURMhpoVr4chhrLemY3/+Kaz0PZ4LUMQLqbCrBYcOHWLWrFl06dLF06GIiHg1wzD42yXN6BQT4tw276dMfkjXpEwRb2T87iLMCa9g3HInBAa6FnZtxz7pYewfvI5VYPNYfCLexN/TAVSX1NRUtmzZwq5du0hJSSEnJ4eAgADef//9Ux5XUlLC4sWLWbNmDVlZWYSHh9OlSxeGDBlC48aNzzkuu93OjBkzuPHGGykqKmLv3r3n/JwiIr4swM/gyatiefzzNA7kl2IBL63Zz3P9AmgdFXza40WkbjECAjAG3I51aR/sC96ATd87Fux2rK8+xfrxO4zb7sXo2QfDMDwbrEgdVm/O2CUmJjJ//nzWr19PTk7OGR1TUlLCpEmTSExMpKioiO7du9O4cWNWrlzJk08+yYEDB845rvnz5xMcHMxNN910zs8lIiIOkcH+jOkdR4h/xaRMO1NWpZNbpEmZIt7KaByD3wNPYT40HmKauxbycrHeeBn7C09hpf/isfhE6rp6c8auffv2tG7dmjZt2tCmTRuGDRt22mMWLVpEUlIS7du3Z+zYsQQHO77pXbJkCfPmzWPOnDlMnDjRuX9+fj75+aee1hQSEkKDBo7rPzZt2sTq1at5/vnn9Q2TiEg1i28YxGNXtmDKqnTsFmTYypj27V4mXduSAL96872liM8xOnXDnPAK1orFWMsWQEmJYyFlO/ZJozCuuQnj/+7ACAn1aJwidU29KexuueWWKu1fVlbG8uXLARg6dKizqAMYOHAgq1atYseOHaSmpnL++ecDsGzZMhITE0/5vL1792bEiBFkZ2cze/ZsHn74YSIjI6v2ZkRE5Ix0jw3nzxfF8OamDAB2ZBYye/1B/n5pM32hJuLFjIBAR3tmz97Y//sG/LTOsWC3Y335MdaP32Lc9heMHr30/7rIUfWmsKuqnTt3YrPZaNq0Keedd94J6z179iQtLY0NGzY4C7vBgwczaNCgUz5vxYfL7t27ycvLY9KkSc41y7KwLIs//OEPDBs2jGuuuaYa35GIiG/6v4Qo0nKL+Sr1MABfpx6mVcNAbulw7tdJi4hnGdFN8RvxNNbWDdj/8xpkHr1M5nAO1tx/Yn37OeYf78eIjfdsoCJ1gM8WdmlpaQCVFnWAs5ir2A/ANM+8tadz5868+OKLbttWrFjBjz/+yJgxY2jUqNEZPc8jjzxywrbAwECmTZsGQHR09BnHVBP8/R0p1KRJE4/GId5B+SJVUZV8GXdjNFkfbWXzvjwA3t6USceWMVxx3pl91or30+dLPXfNDVhXXoNt0fvkL3zH1Z6Z/DP2fzxE6MDbCf/DUMzQsDN6OuWLVIW35IvPXoSQlZUFcNLJlxWFV8V+VRUSEkJ8fLzbn8jISPz9/YmPjyc8PPzsAhcRkRME+ps8O7ADzSODALCA8Z/tJDVbY9JF6gsjMIjwIX8h+pX/ENTjKteCvZyCT/5D1og/UPjtCt3cXHyWz56xKyoqAiAoKKjS9Ypr7ir285SXXnrplOtZWVke/QCr+OYiMzPTYzGI91C+SFWcTb48dVULnvg8jaIyOwUl5Ty6aCsvXt+KyGCf/XHnM/T54kPMAPjr45g9+mD/7+vO9kx7ThaHXxrP4aWJmH/8G0aLk7dnKl+kKs4kXwzDoHnz5iddrw0+e8budMVQTRRLt99+O7Nmzar25xUREYdWDYN47IoWVIxSOJhfyrTv9lJarm/wReobo8slmBNnYtx0B/gHuBaStmL/x0PYP3wLq6jAcwGK1DKfLexCQkIAKC4urnS9Yvux0zI9zWazkZGRQUZGhqdDERGpsy6JC+fui1zXQWzLKOTfPx5Qe5ZIPWQEBGL+3x2Y/5gFF17iWigvx1qxCPu44dh//E7//4tP8NnCrmLoSHZ2dqXrhw4dctuvLli6dCkjR47k0Ucf9XQoIiJ12u87NOKa8123mvly92E+2ZnjwYhEpCYZTZrh9+A4zJFjIbqpayH3ENZrL2B/aRzW/t88F6BILfDZiw5atWoFwJ49eypdT01NdduvLhgwYAB9+vTxdBgiInWeYRgM79GMfXml7MwqBODt/2UQFxlIt1gNrxKpr4wuPTA7dMH6bCHW8oVQVupY2LkF+8S/Y1x3M8bAIZ4NUqSG+OwZu4SEBEJDQzl48GClxd0PP/wAwMUXX1zboZ1UWFgYMTExxMTEeDoUEZE6L8DP5KnesTQJdXyHabfgxTX7+O1w5S34IlI/GIFBmDf/EXPiTOjc3bVQXo71+UfYxw2naM1Xas+UesdnCzt/f3/69+8PwJtvvuk2/XLJkiWkpaWRkJBA27ZtPRXiCXSNnYhI1TQM9mdsnziC/R3jVApK7UxemU5ecbmHIxORmmbENMd8cBzmiDHQ+JgvxXOzyX1hLDkTHsLan+65AEWqmWHVk68rNm3axMKFC52PU1JSMAzDrTAbNGiQ2xm4kpISJk6cSEpKClFRUSQkJJCVlUVKSgoRERFMmTKFZs2a1er7OJUFCxaQmJhIUFAQ7777LgD79+/X7Q7EayhfpCqqM19++O0IU7/dS8WnZaemoUy4uiUBfsYpjxPvoc8XORWruBhreeLR9swy14KfP0a/mzEGDMEIqjsD86Ru8ZbbHdSbwm7lypXMnj37lPsMHz78hGvUSkpKWLRoEatXryY7O5uwsDC6du3KkCFD6tTgFHCcsbPZHDfbrWjHVGEn3kT5IlVR3fmSuC2bd39yPdf1bRvyQI+mGIaKu/pAny9yJqyD+7B/8Br8vMl9oVE05u1D4eLL9ZkgJ1BhJ7VChZ14E+WLVEV154tlWUz/fj8r9+Q5t93XLYabEhpVy/OLZ+nzRc6UZVlEpu4g743p2I/e3Nyp40WYdwzDaBbrmeCkTvKWws5nr7ETERHfYhgGI3o244JoV7vVm5sy+N9+mwejEpHaZhgGwZf2psnM/2DceDv4HzMkfvv/sE94EPuid7GKi07+JCJ1kAo7L6LhKSIi5ybQz+SpXnFEHzMp84Xv9pKuSZkiPscICsb8/Z2Y41+Bjhe5FsrLsJZ9iP2Z4Vib1mp6pngNFXZeRDcoFxE5d1Eh/ozpHUfQ0cEptlI7k1elc0STMkV8ktEsFnPUBMwHRkOjY+YrHMrCPmca9hkTsA7u81yAImdI19h5EQ1PEW+nfJGqqOl8+f7XI0z7bq/z8YVNQxl/TUv8TQ1O8Eb6fJGqOFm+WMVFWEsXYK1YDOXHTM/098fodyvGjbdhBAXVYqRSF+gaO6l2ukG5iEj1uSw+gj91cX07v+VgAXM3HPRgRCLiaUZQMOatd2NO+Bd07OpaKCvDWrYA+/gRWP9bp/ZMqZNU2ImIiM+67XeN6dU60vn4s5RclibleDAiEakLjGZxmKMmYt7/JEQd056ZnYF99rPY//UPrAy1Z0rdosLOi2h4iohI9TIMg5E9m9GusWtS5tyNB/lJkzJFfJ5hGBjdrsD8xyyMGwaB3zHTM3/eiH38SOwfv49VrOFLUjeosPMiGp4iIlL9gvxNnu4dR+MQ16TM51fvZW9eiYcjE5G6wAgOwbz1Hszx/4IOXVwLZWVYS/7raM/86Qe1Z4rHaXiKF9HwFPF2yhepitrOl92Hihi9Io2ScsdnaouIQF64vhXhQX618vpybvT5IlVxtvliWRbWhjVYC96A3Gz3xc7dMf/wV4wYzw7QkOqn4SlS7TQ8RUSk5rRpFMyoy10/lPcdKeH51Xspt+v7TxFxMAwD85IrMSfNxrj+VvA75oufrRsc7ZmfzMcqUXum1D4VdiIiIkddER/JHRe6BiVsPlDAGxs1KVNE3BnBIZiD/+xoz7ygs2uhrBTr0w+wjx+JtflHzwUoPkmFnYiIyDGGdGrMla0inI+XJufyWbImZYrIiYzmLTEfnYwx7HFo2Mi1kHUQ+8xJlM+cjJV5wHMBik9RYedFNBVTRKTmGYbB3y9tTttGrkmZr204yJYDmpQpIidytGde5WjP7Pd79/bMzesd7ZmffoBVqoFMUrNU2HkRTcUUEakdjkmZsTQ6ZlLmc9/tZf8R/WImIpUzgkMxb7sXc9wM9/bM0hKsT+Y72jO3qD1Tao6mYnoRTcUUb6d8kaqoC/mSkl3I01/86pyUGRcZyHPXtyI8UJMy65q6kC/iPWo6XyzLwlr/LdaHb8HhQ+6LXXpgDrkPo0mzGnltqX6aiinVTlMxRURqV7vGIfz9UtcP6vS8El5cvU+TMkXklAzDwOzZ29Ge2fdmMI/5lbuiPXOJ2jOleqmwExEROYWrWkcypHNj5+P/7bfx1iZd6ywip2eEhGLePhTzmRnQvpNrobQE6+Oj7ZlbN3ouQKlXVNiJiIicxh86R3N5vGtS5qdJOazYleu5gETEqxixrTAfm4Ix9BFoEOVayDyA/V8TKZ/1LFaWbq0i50aFnYiIyGmYhsGoy5rTplGQc9u/1x9g60FNyhSRM2MYBualfTD/MRvjuv9zb8/8aR328SOwL12AVVrquSDFq6mwExEROQOOSZlxRB2dlFluwXPfalKmiFSNERqGOeQ+zHHToV1H10JJCdbi97BPeBDr500ei0+8lwo7L6L72ImIeFZ0aABP94olwDQAOFJiZ/LKdApKyz0cmYh4GyOuNebjUzGGPgyRDV0LGfuwz5hA+ZypWNma8ipnToWdF9F97EREPK99dAgPXuoaU65JmSJythztmVdjTpqDce1NYBzzq/mm77E/8wD2ZR+qPVPOiO5j50V0HzvxdsoXqYq6ni/v/ZTJh9uynY9vTojiL92aejAi31bX80XqlrqaL9Zve7DP/zfs2uG+0DQW845hGL+7yDOB+Tjdx06qne5jJyJSd/yxSzSXtgx3Pv54Zw5faFKmiJwDo+V5mE9Mw7h3FEQ0cC0c3It9+njK/z0N61DdKkal7lBhJyIichZMw+Dhy1twXtQxkzJ/PMC2gwUejEpEvJ1hGJiXX4M5eQ7GNQPd2zM3rsU+bjj2zxKxytSeKe5U2ImIiJylYH+TMb3jaBjsB0CZHaZ9t5eD+ZqUKSLnxggNx7xjGObYl6BNgmuhpBjro3nYJ/4da/tPHotP6h4VdiIiIuegSVgAT/eOc07KzCsu16RMEak2Rvz5jvbMPz/k3p55YC/2l5/B/urzWIeyPBeg1Bkq7ERERM7RBdEhjDxmUuavh0t4aY0mZYpI9TBME/OKax3TM6++0a0909qwGvszw7EvX6j2TB+nwk5ERKQa9DmvAYM6NnI+/nGvjXd/0pADEak+Rlg45h/vxxzzTzj/AtdCcRHWwnewT3wIa8dmzwUoHqXCzovoBuUiInXbnV2b0DPONSlz0Y5DfLU713MBiUi9ZLRqg/nkcxj3PAjhka6FA+nYXxqH/bUXsHKyT/4EUi+psPMiukG5iEjdVjEps3VD16TM2esPsiNDkzJFpHoZpol5ZV/H9Mw+N4BhONesH79zTM/8fBFWWZnngpRapRuUexHdoFy8nfJFqsKb8yUjv5THPv+Fw0WOASoNgvx4oX8rmoYHejiy+sub80VqX33MFyttF/b3/w17kt0XmrfE/OPfMBIu9Exg9YBuUC7VTjcoFxHxDjHhATzVKxb/o5MyDxeXM2XVXk3KFJEaY7Rqizn6eYy7R0J4hGth/2/Y/zkW++svYuWqPbM+U2EnIiJSAzo0CWVET9ekzLTcYl5eux+7GmVEpIYYpol5VT/Myf/G6N3fvT1z/bfYxw7HvmKx2jPrKRV2IiIiNeSa8xvw+w6uSZnr0/N5T5MyRaSGGWERmHcOx3z6RWjdzrVQXIj14ZvYJ43CSvrZcwFKjVBhJyIiUoPu6tqES2LDnI8Xbj/EN6mHPRiRiPgKo3U7zKdewLhrBIQd056571fsLz6Nfe4/sXIPeS5AqVYq7ERERGqQn2nwyBUtaNXANSlz5g8H2JlZ6MGoRMRXGKaJ2et6x/TMXte7t2f+sAr7uAewf/kxVrmuAfZ2KuxERERqWGiAH2P6xBIZ5AdAmd3i2W/TybSVejgyEfEVRngk5l0jMJ96AVq1dS0UFWL99w1He2byNs8FKOdMhZ2IiEgtaBoeeHRSpuPx4aJypqxKp7DU7tnARMSnGOe1x3z6BYw7h0NouGthbxr2F57C/sbLWIdzPBegnDUVdiIiIrWkY0woD/RwTcrck1PMy2v3aVKmiNQqw/TD7N3fMT3zqn5ua9a6b462Z36i9kwvo8JORESkFl3XpiG3HDMp84f0fOZvzvJgRCLiq4yISMy7RzraM+PbuBYKC7D+Oxf75IexUrZ7LkCpEhV2IiIitezurk3o1sI1KfPDbdms2qNJmSLiGcb5F2COeRHjT/dDqOuzifRfsD8/GvubL2PlqT2zrlNhJyIiUsv8TIPHrmxBywaBzm2vrDtAUpYmZYqIZximH2afGx3tmVf2dVuzvv/GcXPzr5aoPbMOU2HnRWw2GxkZGWRkZHg6FBEROUehAX6M7R1HxNFJmaV2i6mrNClTRDzLiGiAec+DmKOfh/jzXQuFNqwPXsM++RGsXWrPrItU2HmRpUuXMnLkSB599FFPhyIiItWgWUQgo6+Kxe/obaVyisp5dlU6RWWalCkinmW0ScAc80+MP/7tuPbMPdifG439rRlYebkei09OZFiWRnF5C5vNhs1mAyAmJgaA/fv348n/hE2aNAEgMzPTYzGI91C+SFX4Ur6s2JXLrB8OOB9f1jKCJ65qgXnMjYTl1HwpX+TcKV+qxsrLxfroHaw1X7kvhIZh3HInRu/+GKafZ4KrBWeSL4Zh0Lx589oKqVI6Y+dFwsLCiImJcRZ1IiJSP/Rr25CbEqKcj7//7QgfbNWkTBGpG4zIhph/fgjzyecg7jzXQoENa/6r2Kc8irV7p+cCFECFnYiISJ1w70UxXNTc1e70363ZfPdLngcjEhFxZ7TtgDn2JYw7hkHIMe2Zv6Zin/YE9rf/hXVEE349RYWdiIhIHeBnGjx+ZQviIl2TMv+1bj8p2ZqUKSJ1h+Hnh3nNQMzJszEuu8ZtzVrzJfax92NfuQzLrumZtU2FnYiISB0RFujH2D5xRAQ6fjyXlFtMWbWX7AJNyhSRusWIjML8yyjMJ6ZBXGvXQoEN6/1/Y5/yGFZqksfi80Uq7EREROqQ5hGBPHHspMzCMqas2kuxJmWKSB1ktOuIOfZljD/8FUJCXQu/7sY+9XHs82ZiHVFbeW1QYSciIlLHXNgsjGGXNHU+3n2oiBnfe3YKsojIyRh+fpjX3oQ5aQ7GpVe7rVnfrXC0Z65arvbMGqbCTkREpA7q3y6KARe4JmWu+fUI/92a7cGIREROzWgQhTn0YczHn4XYVq6Fgnys92Zjf/ZxrD3JnguwnlNhJyIiUkcNvTiGrs1crU3/2ZrFmjS1NIlI3Wa074Q5bjrGkKEQHOJaSNvlas/M12dZdVNhJyIiUkc5JmXG0iLCNSlz+vf72ZVd5MGoREROz/Dzw7zuZkd7Zs/ergXLOtqe+QD2b5dj2XX9cHVRYSciIlKHhQc5JmWGHTMp89lV6RwqLPNwZCIip2c0bIR536OYjz0LLeJdC7YjWO/Oxj71caw9KZ4LsB5RYSciIlLHxUYG8sSVsZhHJ2VmF5bx7Kp0TcoUEa9hXHC0PfP2oRB0THvmLynYpz6G/d3Zas88RyrsREREvEDX5mH8tbtrUmZKdhGvrNOkTBHxHoa/P2bfmx03N+9xXHvmt8uxj3sA+3cr1J55llTYiYiIeIkb20dxQ7uGzsffpR3hw581KVNEvIvRsDHmXx/FfGwKNG/pWsg/gjVvJvZpT2Cl7fJcgF7K39MB1HcLFiwgMTHxhO0zZ84kJibGAxGJiIg3u697U/YeKWHLgQIA3t+SRcsGQVwWH+HhyEREqsa4oDPmMzOwvv4U65MPoLjQsbAnGfuURzF698e45U6MMH2+nQkVdrWgcePGTJ061W1bZGSkh6IRERFv5m8aPHllLI9//gv7jpQC8PLafTQNb8X5jYI9HJ2ISNUY/v4Y/X6PdUkvrA/fxPrxO8eCZWGt/AxrwxqMQfdgXH4thqlmw1OpV4VdamoqW7ZsYdeuXaSkpJCTk0NAQADvv//+KY8rKSlh8eLFrFmzhqysLMLDw+nSpQtDhgyhcePG5xyXaZo0bNjwnJ9HREQEHJMyx/SO44nP07CV2ikut5i8Kp1/9m9NVEi9+tEuIj7CiGqMMexxrKv6Yf/Pa7D/N8dCfh7WO69gfbcC84/3Y7Rq49lA67B6VfYmJiYyf/581q9fT05OzhkdU1JSwqRJk0hMTKSoqIju3bvTuHFjVq5cyZNPPsmBAwfOOa7c3FweeOAB7r//fp599lmSkpLO+TlFRMS3xTUI4vGrjpmUWeCYlFlSrqEDIuK9jA5dMJ+ZjjH4zxB0TBdCahL2KY9in/9vLFu+x+Kry+rV13rt27endevWtGnThjZt2jBs2LDTHrNo0SKSkpJo3749Y8eOJTjYkUBLlixh3rx5zJkzh4kTJzr3z8/PJz//1MkUEhJCgwYNAGjXrh0jRowgNjaWgoICvvzyS5555hnGjBnDhRdeeA7vVkREfN1FzcMY2i2G1zdkAJCcXcTMdQd4+PLmGIbh4ehERM6O4R+Acf2trvbMDasdC5Yd65tlR9sz/4xx2dVqzzxGvSrsbrnllirtX1ZWxvLlywEYOnSos6gDGDhwIKtWrWLHjh2kpqZy/vnnA7Bs2bJKh6Ecq3fv3owYMQKAiy66yG2tQ4cOZGVl8cknn6iwExGRczagfRS/5pbw+a5cAFb9kkd8gyAGdzr3SwlERDzJaBSN8bcnjrZnvgoH9joWjhzGensG1nefO9oz48/3bKB1RL0q7Kpq586d2Gw2mjZtynnnnXfCes+ePUlLS2PDhg3Owm7w4MEMGjTolM97um9J27Rpw8aNG88+cBERkaMMw2DYJU3Zd6SErQcdkzLf3ZxJXINALm2pSXIi4v2Mjl0xx/8L64tPsJZ8ACXFjoXdO7FPfgSjzw0Yt/wJIzTco3F6mk+fu0xLSwOotKgDnMVcxX7gGITi5+d3yj/maU4J//LLL9UylEVERAQckzKfuCqWZuEBzm0vr93HnpwiD0YlIlJ9DP8AzBsGYU6aDd0udy1YdqxvlmIf+wD2tV9hWZbngvQwnz5jl5WVBXDSIqtRo0Zu+52NefPmcfHFFxMTE0NBQQFffPEF27Zt4/HHHz+j4x955JETtgUGBjJt2jQAoqOjzzq26uDv70ihJk2aeDQO8Q7KF6kK5UvVNAFeujWSv37wE7aScorKLKZ+t583/tCVRmGBng6vxilfpCqUL16sSRMY90+K//cDea+/RPm+Xx3bjxzGemsGkQ2jCOl9fbW+pLfki08XdkVFjm8yg4KCKl2vuOauYr+zcejQIWbOnEleXh6hoaHEx8czbtw4OnXqdNbPKSIiUpnWjUKZdGMCj328DbsFoYF+FGtKpojUQ0EX9SR6xrvYPvkA24K3sIqL8G/VhuArr/V0aB7j04Xd6U7VVsep3FGjRp3T8S+99NIp17Oysjx6yrnim4vMzEyPxSDeQ/kiVaF8OTttwuDei2PYcsDGI1e0wL/4CJmZRzwdVo1TvkhVKF/qkV43YPyuO9aCN7BfO5CsQ2d2y7OqOJN8MQyD5s2bV/trV4VPF3YhISEAFBcXV7pesf3YaZmeZLPZsNlsAMTExHg4GhERqatuuiCKgRdEYeqWByLiA4zGTfB7YLSnw/A4ny7sKq5Py87OrnT90KFDbvt52tKlS0lMTCQoKIh3333X0+GIiEgdZRgGKulERHyLTxd2rVq1AmDPnj2Vrqemprrt52kDBgygT58+ng5DRERERETqGJ++3UFCQgKhoaEcPHiw0uLuhx9+AODiiy+u7dAqFRYWRkxMjNowRURERETEjU8Xdv7+/vTv3x+AN99802365ZIlS0hLSyMhIYG2bdt6KkQ3NpuNjIwMMjIyPB2KiIiIiIjUIfWqFXPTpk0sXLjQbVtZWRljxoxxPh40aJDbGbhbb72VrVu3kpSUxEMPPURCQgJZWVmkpKQQERHB8OHDay3+09E1diIiIiIiUpl6Vdjl5eWRkpLits2yLLdteXl5buuBgYGMHz+eRYsWsXr1an788UfCwsLo3bs3Q4YMqTODU0DX2ImIiIiISOUMy5M3QZNztn//ft3HTryG8kWqQvkiVaF8kapQvkhVeMt97Hz6GjsREREREZH6oF61YtZ3ukG5iIiIiIhURoWdF9HwFBERERERqYwKOy+i4SkiIiIiIlIZFXZeJCwsjLCwME+HISIiIiIidYyGp4iIiIiIiHg5nbHzIhqeIiIiIiIilVFh50U0PEVERERERCqjws6LaHiKiIiIiIhURoWdF9HwFBERERERqYyGp4iIiIiIiHg5FXYiIiIiIiJeTq2YXkRTMUVEREREpDIq7LxIZVMxDcPwcFQOdSUO8Q7KF6kK5YtUhfJFqkL5IlVxqnypC7lkWJZleToIOTM6YyciIiIiIpVRYSciIiIiIuLlNDxFzsno0aMZPXq0p8MQL6F8kapQvkhVKF+kKpQvUhXeki+6xk7OSUlJiadDEC+ifJGqUL5IVShfpCqUL1IV3pIvOmMnIiIiIiLi5VTYiYiIiIiIeDkVdiIiIiIiIl5OhZ2IiIiIiIiX0+0OREREREREvJzO2ImIiIiIiHg5FXYiIiIiIiJeToWdiIiIiIiIl1NhJyIiIiIi4uVU2ImIiIiIiHg5FXYiIiIiIiJeToWdiIiIiIiIl/P3dADinUpKSli8eDFr1qwhKyuL8PBwunTpwpAhQ2jcuLGnw5MaUFxczObNm9m4cSO7d+8mMzMTu91Os2bN6NmzJwMHDiQ4OLjSY1etWsXy5ctJT0/H39+f9u3bc+utt3LBBRec9PWSkpL46KOPSE5OpqysjLi4OK6//nr69OlTQ+9QalJ+fj6jRo0iLy+PFi1aMH369JPuq3zxbbm5uSxevJj//e9/ZGVlERgYSExMDJ07d+bOO+88YX/li+9KTk7mk08+ISkpifz8fIKDgznvvPPo168fl156aaXHKF/qr9TUVLZs2cKuXbtISUkhJyeHgIAA3n///VMeV1s5kZ2dzX//+182b95Mfn4+0dHRXH755fz+978nMDDwbN+2G92gXKqspKSESZMmkZSURFRUFAkJCWRmZrJr1y4iIyOZPHkyzZo183SYUs2++uorXn31VQBatmxJbGwshYWFJCcnU1hYSGxsLBMmTKBBgwZux73zzjssXbqUwMBALrzwQkpLS/n555+xLItHHnmEHj16nPBa69ev56WXXsKyLDp06EBERAQ///wzNpuNAQMGcM8999TKe5bqM2vWLL799lssyzplYad88W3JyclMnToVm81GXFwcLVu2pKioiPT0dLKzs/nggw/c9le++K7vv/+e6dOnY1kWbdq0oWnTpuTk5LBz504sy+Lmm2/mT3/6k9sxypf67fnnn2fDhg1u205X2NVWThw4cICxY8eSl5dHy5YtiYuLIzU1lYMHD9K+fXvGjx9PQEDAOf8b6IydVNmiRYtISkqiffv2jB071nmWZsmSJcybN485c+YwceJED0cp1c3f359+/foxYMAAmjdv7tyek5PDtGnT2LNnD2+//TYPPfSQc+3nn39m6dKlREREMHnyZOdxycnJTJgwgdmzZ9OxY0fCw8Odx+Tn5zN79mzsdjuPPvooPXv2BBzf4j/zzDMsXbqUbt260alTp1p653Kutm7dyqpVq7juuuv48ssvT7qf8sW3HTp0iKlTp1JaWspjjz12wi9Uu3btcnusfPFd5eXlvPHGG1iWxahRo7j88suda8nJyUycOJFPPvmEa6+91vlFs/Kl/mvfvj2tW7emTZs2tGnThmHDhp1y/9rMiTlz5pCXl8cNN9zAvffeCzjy+OWXX2b9+vUsWrSI22+//Zz/DXSNnVRJWVkZy5cvB2Do0KFurXcDBw6kVatW7Nixg9TUVE+FKDWkd+/e3HfffW5FHUBUVBRDhw4FHN9ilZWVOdc+/fRTAG699Va349q3b0/fvn0pKCjgm2++cXu+r7/+moKCArp37+78wARo2LChsw1ryZIl1fvmpMaUlJTw+uuvExcXx0033XTKfZUvvm3+/PnYbDbuvPPOSr8lb9u2rdtj5Yvv2rt3L3l5ecTGxroVdeD479+lSxcsy3L7XUT5Uv/dcsst3H777XTr1o2GDRuedv/ayoldu3axY8cOGjRo4NZO7ufnx3333Yefnx+fffaZ2+9PZ0uFnVTJzp07sdlsNG3alPPOO++E9YokP/5UuNRvrVq1AqC0tJQjR44Ajl/of/75Z4BKr3Wo2LZx40a37RWPKzvm4osvJiAggK1bt1JSUlJ9b0BqzIcffsjBgwedP7xORvni2/Lz8/n+++8JDQ3lmmuuOe3+yhffdqYtaxVnWpQvcrzazIlNmzYB0K1btxNyt2HDhnTo0AGbzUZSUtI5vCMHFXZSJWlpaQCVFnUA559/vtt+4hsOHjwIOL59qvhBum/fPkpLS4mMjKx0oE5FDh2fK7/++ivgyqVj+fv7Ex8fT2lpKfv27avW9yDVLy0tjSVLltCnTx86dux4yn2VL74tKSmJ0tJSEhIS8Pf3Z926dbz99tvMnTuXzz77jNzcXLf9lS++rWnTpjRt2pS9e/eydu1at7Xk5GQ2b95MTEyM83NH+SLHq82c+OWXX9ye80xf62zoGjupkqysLICTTr5s1KiR237iG5YtWwZA165dnd9GnS5XgoODCQsLw2azUVhYSEhICAUFBdhsNsCVS8dr1KgRu3fvJisri9atW1fzO5HqYrfbefXVVwkNDa10kuHxlC++7bfffgOgQYMGPPPMMyQnJ7utz58/n+HDh3PZZZcByhdfZ5omw4cP57nnnmP69Ol8+umnbsNT2rZty4MPPoi/v+PXXOWLHK82cyI7O/uUr1WxvTp+d9YZO6mSoqIiAIKCgipdr7jmrmI/qf82bdrEN998g5+fH0OGDHFur8iBU43wrcijin2PzZuT5djxx0jdtHz5cnbt2sVdd91FRETEafdXvvi2il+Wvv32W9LS0rj//vuZO3cuM2fOZODAgRQXF/PKK684v9FWvkiHDh2YMGECMTEx7N69m7Vr17Jjxw6Cg4Pp3LkzUVFRzn2VL3K82syJ071WdeaRCjupktPdHUN3z/At6enpvPLKK1iWxV133eX2jWVFLhiGcdLjlS/1U1ZWFh988AEdO3Y84/s8KV98m91uBxxT4u655x6uueYaIiMjiYmJ4e677+bSSy+lrKyMjz/+GFC+CKxevZoxY8YQHR3Ns88+y7x585gxYwZXXHEFH330EZMmTXIOo1C+yPFqMydO91rVmXsq7KRKQkJCAMfNqitTsf1kN6qW+iM7O5tnn30Wm83GwIEDufHGG93WT5crgPPi4op8OTZvlGPea+7cuZSVlXHfffed8THKF99W8d/fMAx69+59wvrVV18NwPbt2932V774pv379zNr1iwiIyMZPXo0bdu2JTg4mObNmzNs2DC6detGcnIyK1euBJQvcqLazInTvdbxr3MudI2dVEl0dDTg6hc+3qFDh9z2k/opLy+PyZMnk5WVRZ8+fbjrrrtO2Od0uVJUVITNZiMsLMz5oRcaGkpoaCgFBQUcOnSI0NDQE45TjtV9mzZtIiwsjLlz57ptLy0tBRxn9CZMmADA6NGjCQ4OVr74uCZNmgCOCXGVTTysWD98+DCgzxdft2bNGsrLy+nSpUulvwxfdtllbNy4kW3btnHdddcpX+QEtZkTjRs3Zs+ePSd9rYrt1ZFHOmMnVVIx1n7Pnj2VrlfcM6ZiP6l/CgsLmTp1Knv37qVHjx7cf//9lbYXtGjRgoCAAPLy8ir9MKvIofj4eLftFblT2b0Qy8rK+PXXXwkICKBFixbV8XakhthsNrZv3+72JyUlBXB8O1mxrby8HFC++LqKqXA2m63StqT8/HzA9Y228sW3VfzyXNkv1sdur8gb5YscrzZzouIylZP97nyy1zobKuykShISEggNDeXgwYOVJugPP/wAOO7lIfVPaWkpzz//PLt376ZLly6MGjUK06z8YyQwMJBOnToBsG7duhPWK7Z169bNbXtF7lR2zKZNmygtLaVTp06nvOBZPGvBggWV/pk5cybg+IFasS0sLAxQvvi6+Ph4YmJiKCkpcX4BcKxt27YBrhHjyhffVnHz6d27d1e6vmvXLsB1plf5IserzZyoOGbjxo3OzpUKubm57Nixg9DQUBISEs7hHTmosJMq8ff3p3///gC8+eabbhN8lixZQlpaGgkJCbRt29ZTIUoNsdvtzJgxg23bttGhQwcee+wx5yjpkxkwYAAAH330Efv373duT05O5ssvvyQkJOSEmxFfe+21hISEsGHDBucXBeBowXrvvfcAGDhwYHW9LalDlC++7eabbwbgrbfeIi8vz7k9NTWVJUuWANC3b1/nduWL7+revTsAO3bsYMWKFW5rycnJLF26FHC/ibTyRY5XWznRtm1bLrjgAg4fPsz777/v3F5eXs7cuXMpLy+nf//+p/2d6kwYlsYASRWVlJQwceJEUlJSiIqKIiEhgaysLFJSUoiIiGDKlCk0a9bM02FKNVu2bBlvv/02AD169HD2nB/vrrvuIjIy0vn47bffZtmyZQQFBdG5c2fKy8vZsmULdrudhx9+2O0Hb4V169bx8ssvA9CxY0ciIiLYunUrNpuNG264gXvvvbf636DUuIyMDEaOHEmLFi2YPn16pfsoX3yX3W5n+vTprFu3jvDwcNq3b09xcTFJSUmUlZVx7bXX8re//c3tGOWL73r33Xf59NNPAWjZsiWxsbHk5OSQnJyMZVlcd911DBs2zO0Y5Uv9tmnTJhYuXOh8nJKSgmEYbicbBg0a5NZVVls5sX//fsaOHcuRI0eIj48nLi6O3bt3c/DgQdq1a8f48eOr5cyvCjs5KyUlJSxatIjVq1eTnZ1NWFgYXbt2ZciQIbqIuJ5asGABiYmJp91v5syZxMTEuG1buXIly5cvZ+/evfj5+dGuXTsGDRp0yraDnTt38tFHH5GSkkJZWRmxsbFcf/31zul44n3OpLAD5Ysvs9vtfPHFF3z99dfs27cPcFyf0rdvX3r16lXpMcoX37V+/Xq++OILUlNTKSgoIDg4mNatW3Pttddy5ZVXVnqM8qX+WrlyJbNnzz7lPsOHDz/hNjy1lRNZWVksWLCAn376ifz8fBo3bswVV1zBrbfeWm3tvCrsREREREREvJyusRMREREREfFyKuxERERERES8nAo7ERERERERL6fCTkRERERExMupsBMREREREfFyKuxERERERES8nAo7ERERERERL6fCTkRERERExMupsBMREREREfFyKuxERERERES8nAo7ERERERERL6fCTkRExEssWLCA22+/nQkTJng6FBERqWP8PR2AiIjIqSxYsIDExETn3ytkZGSwcuVKAG6//XZPhFZtfvnlF9avX09YWBgDBgzwdDgiIuKFdMZORES8UmZmJomJic6iz5v98ssvJCYmsmzZslPuFxkZSYsWLYiOjq6lyERExFvojJ2IiIiX6N+/P/379/d0GCIiUgfpjJ2IiIiIiIiX0xk7ERHxOiNGjCAzM9P5+Phr7Hr37s2IESPctpWUlPDll1/yww8/kJ6eTkFBAeHh4bRr145+/frRtWvXSl+r4rnHjx9PXFwcixcvZtOmTWRnZ1NSUuK87q+kpIQtW7awYcMGdu/ezaFDhygsLCQiIoI2bdrQt29fLrroopM+PzjaS49/L4MHD3Zuq7jesGPHjicdoLJnzx6WLl3K9u3bOXz4MIGBgcTGxnLZZZfRr18/AgICTjhm5cqVzJ49myZNmjBr1ixSU1NZvHgxO3fuJD8/n0aNGnHJJZcwaNAgwsPDK33dlJQUPvvsM5KSksjNzcU0TSIiImjSpAmdO3fm6quvpnHjxpUeKyIi506FnYiIeJ3IyEgKCgqw2WwANGjQwG09NDTU7fH+/fuZNm0a+/fvB8AwDEJCQjh8+DAbNmxgw4YN9OvXj/vuu++kr3ngwAGmT5/O4cOHCQgIwN/f/Ufo2rVrmT17tvNxYGAgfn5+5OTkOF9j4MCB3H333W7HNWjQgJKSEgoLCzEMg8jISLf14ODgM/xXgaVLlzJv3jwsy3L+OxQVFZGcnExycjIrV67k6aefJioq6qTPsXr1ambNmkV5eTmhoaGUl5eTkZHB0qVL2bJlC1OmTDkhppUrVzJnzhzn6wYEBGCaJllZWWRlZbFjxw6io6Pp06fPGb8XERGpGhV2IiLidaZOncq2bduYOHEiAK+//vpJ97XZbEyePJnMzEw6derEbbfdRtu2bQkICKCgoICvv/6aBQsWsGLFClq0aMGNN95Y6fO88847NGrUiIceeoiOHTtimib79u1zroeGhnLddddxxRVXEB8fT0REBAA5OTl89dVXLFy4kCVLltCxY0e6d+/uPO711193njGLjo5m1qxZZ/VvsnHjRt555x0Aunfvzp///GdiYmIoKytj7dq1vPHGG6SlpfHSSy8xceJETPPEqzHy8vKYM2cOvXv3ZvDgwURHR1NcXMw333zDO++8w2+//cbHH3/MkCFDnMcUFxfz1ltvYVkWV111FbfddhvNmjUDoKioiH379rF27doTClYREaleusZORETqtY8++shZ1I0ZM4YOHTo42xFDQ0MZOHAgI0eOBGDhwoWUl5dX+jyGYTBu3Dg6derkLIpatGjhXO/RowfDhg3jd7/7nbOoA4iKimLw4MHccccdAHz22Wc18j7ff/99ABISEnjssceIiYkBwN/fn169evHggw8CkJSUxPr16yt9juLiYi6//HLuv/9+5+TNoKAg+vfvzw033ADAmjVr3I757bffKCwsJCgoiOHDhzuLOnCcbTz//PO58847ufjii6v3DYuIiBsVdiIiUm9ZlsU333wDwMCBA/Hz86t0v0suuYSQkBCOHDlCampqpfv06tXrnK4RqyhskpOTsdvtZ/08lUlLSyM9PR2AQYMGVXo2rnv37rRt2xZwtFuezKBBgyrdXnGW8cCBAxQXFzu3V7S9lpWVceTIkbN7AyIics7UiikiIvVWeno6+fn5AMyePRvDME66b1FREeAYYNKuXbsT1i+44ILTvl5ubi4rVqxg8+bN7N+/n4KCghOKuOLiYvLz86u1NXH37t0A+Pn50bFjx5Pud+GFF7Jr166TFq/h4eFuZ9yO1ahRI+ffbTYbQUFBADRr1ozY2Fj27t3LmDFj6Nu3L127diU+Pr7SAlNERGqGCjsREam3cnJynH/Py8s7o2NKSkoq3X78gJbjJScnM3XqVOdAF3C0IlYUQHa73XlG69gzXtWh4r1FRERUOvWyQkVxdvjw4UrXQ0JCTnrssUVaWVmZ2/aHHnqIF198kYyMDObPn8/8+fMJCgqiffv29OzZk969ezv/HUREpGaosBMRkXrr2LNlr732Gg0bNjzr5zrV2afy8nJmzJiBzWajdevW3HHHHSQkJLgVSgcOHODvf/87gHN6ZHU71RnJs9nvTLVu3Zrp06ezceNGNm/eTFJSEunp6WzdupWtW7eyaNEinnrqKeLj46v1dUVExEWFnYiI1FvHFnK//vrrORV2p5KcnExmZiamaTJ69Gi3tsUKubm5NfLagLOtMy8vj9LS0pOetTt06JDb/tXJ39+fnj170rNnTwCOHDnCunXr+M9//kN2djazZs3iueeeq/bXFRERBzW/i4iIVzr2rNPJzoC1bNnSedZs7dq1NRZLdnY24CiYKivqALZu3XrS4yvey9meyWvTpg3gOHO4ffv2k+5XEUPF/jUpIiKCvn378qc//Qlw3Dhdw1VERGqOCjsREfFKx96E/Njr2o7l5+fH1VdfDcCqVavYuXPnKZ+zYtDK2cZy+PDhSs/MZWdnn/I2BxXF58nex+m0atWKuLg4wHF7h8qmbm7atImUlBQArrjiirN6ncqUlpaecj0wMND5dw1TERGpOfqEFRERr9S8eXP8/R1XFHz99dcnPds1ePBgmjZtSnl5OVOmTGHJkiVug1QKCgr46aefmDlzJs8888xZxZKQkEBQUBCWZfHyyy87b1xut9v56aefmDBhwimva6u49qywsPCszyxWnBnbsWMH//znP8nIyAAcg06+++47ZsyYATime/bo0eOsXqMya9asYdy4cXzxxRccPHjQub3ivc+fPx+A9u3bExYWVm2vKyIi7nSNnYiIeKWgoCB69erF119/zXvvvceHH35IREQEhmHQs2dP7r77bsAxwn/cuHG88MILpKWlMW/ePObNm0dYWBh2u53CwkLnc55s1P/phIaGctdddzF37lx27NjBqFGjCA4Opry8nNLSUiIiInjggQd4/vnnKz2+WbNmdO7cma1btzJ9+nReffVVwsPDAbjxxhsZMGDAaWPo1q0bd999N++++y4//vgjP/74I2FhYRQXFzunWMbHx/Pwww9X+5mzpKQkkpKSAAgICCA4OJj8/HxnsR0VFcUDDzxQra8pIiLuVNiJiIjXGjp0KI0bN2bdunVkZGSQlZUFcMK1XDExMUybNo01a9awdu1a9uzZQ15eHqZpEhMTQ+vWrenWrRvdunU761j69etHdHQ0n376Kbt376a8vJxGjRpx0UUXccstt7jdIqAyjzzyCImJiWzatImsrCwyMzOBqrVnDhw4kI4dO7J06VK2b9/O4cOHCQwM5LzzzuOyyy6jX79+bq2R1aF79+6MHDmSn3/+mT179pCbm0t+fj4hISG0aNGCbt260b9/f52tExGpYYZVUzOXRUREREREpFboGjsREREREREvp8JORERERETEy6mwExERERER8XIq7ERERERERLycCjsREREREREvp8JORERERETEy6mwExERERER8XIq7ERERERERLycCjsREREREREvp8JORERERETEy6mwExERERER8XIq7ERERERERLycCjsREREREREvp8JORERERETEy6mwExERERER8XIq7ERERERERLycCjsREREREREvp8JORERERETEy6mwExERERER8XL/Dx8LGcoJmG7WAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Compute History\n",
"plt.semilogy(range(len(hist_jacobi)), hist_jacobi)\n",
"plt.semilogy(range(len(hist_gs)), hist_gs)\n",
"plt.xlabel('Iterations')\n",
"plt.ylabel('Error')\n",
"plt.legend(['Jacobi', 'Gauss-Seidel'])"
]
},
{
"cell_type": "markdown",
"id": "20c70b79",
"metadata": {},
"source": [
"### 수렴 특성 비교\n",
"- 오차 벡터 $E^n$ 이라 할 때, 오차는 다음과 같이 감쇄한다.\n",
" * $E^{n+1} = (A_1^{-1} A2) E^{n}$\n",
"\n",
"- 즉 행렬 $A_1^{-1} A_2$ 의 최대 Eigenvalue에 따라 오차 감쇄율이 달라진다.\n",
"\n",
"- 행렬 크기를 3~19까지 최대 Eigenvalue 구하기\n",
" * `np.diag` : 대각 행렬 항 구함, 주어진 대각 행렬로 구성된 행렬 구함\n",
" * `np.tril` : Lower triangle 행렬 계산\n",
" * `linalg.inv` : 역행렬 계산\n",
" * `linalg.eig` : 행렬의 Eigenvalue와 Eigenvector 계산"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "39c832c6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$\\\\lambda_{max}$')"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 행렬의 크기\n",
"ns = range(3, 19)\n",
"\n",
"# Jacobi 방법의 최대 고유치 계산\n",
"ev_jacobi = []\n",
"\n",
"for n in ns:\n",
" A = laplace_op(n)\n",
" \n",
" # Jacobi 방법을 행렬로 표기\n",
" A1 = np.diag(np.diag(A))\n",
" A2 = A - A1\n",
" op = linalg.inv(A1) @ A2\n",
" \n",
" # 최대 고유치 계산\n",
" evi = np.abs(linalg.eig(op)[0]).max()\n",
" ev_jacobi.append(evi)\n",
"\n",
"ev_gs = []\n",
"\n",
"for n in ns:\n",
" A = laplace_op(n)\n",
" \n",
" # Gauss-Seidel 방법을 행렬로 표기\n",
" A1 = np.tril(A)\n",
" A2 = A - A1\n",
" op = linalg.inv(A1) @ A2\n",
" \n",
" # 최대 고유치 계산\n",
" evi = np.abs(linalg.eig(op)[0]).max()\n",
" ev_gs.append(evi)\n",
"\n",
"plt.plot(ns, ev_jacobi)\n",
"plt.plot(ns, ev_gs)\n",
"plt.legend(['Jacobi', 'Gauss-Seidel'])\n",
"plt.xlabel('n')\n",
"plt.ylabel(r\"$\\lambda_{max}$\")"
]
},
{
"cell_type": "markdown",
"id": "5baf027c",
"metadata": {},
"source": [
"### Succesive overelaxation (SOR)\n",
"Gauss-Seidel 결과에 relxation parameter $\\omega$ 를 이용해서 계산 결과를 가속한다.\n",
"\n",
"즉\n",
"\n",
"$$\n",
"T_{i,j}^{(n+1)} = T_{i,j}^{(n)} + \\omega \\left (\n",
"\\tilde{T}_{i,j}^{(n+1)} - T_{i,j}^{(n)}\n",
"\\right )\n",
"$$\n",
"\n",
"여기서 $\\tilde{T}_{i,j}^{(n+1)}$ 은 Gauss-Seidel 결과이다."
]
},
{
"cell_type": "markdown",
"id": "54a7e3fc",
"metadata": {},
"source": [
"### 실습\n",
"* SOR 방법을 구현하시오. $\\omega \\in (1.1, 1.8)$ 사이에서 값을 변화시키면서 수렴 속도를 비교하시오.\n",
"\n",
"* Point Jacobi, Gauss Seidel, SOR 방법에 대해 격자 크기를 달리하면서 해의 변화를 관찰하고, 계산시간의 증가를 파악하라.\n",
"\n",
"* 실습 페이지의 Poisson 방정식을 해석해보자."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}