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@Dhruvacube
Created November 15, 2022 18:10
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This is my signals and system assignment
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from math import sin, pi\n",
"\n",
"#initialization\n",
"start = 0; end = 10; step = f = 0.1\n",
"x = np.arange(start, end+step, step)\n",
"y=np.array(list(map(lambda x: sin(2*pi*x*step), x)))\n",
"\n",
"\n",
"#ploting original signal\n",
"plt.plot(x, y)\n",
"plt.grid()\n",
"plt.title(\"Original input signal x(t)\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.axhline(color=\"black\")\n",
"plt.axvline(color=\"black\")\n",
"plt.show()\n",
"\n",
"#shifting the original signal\n",
"delay_unit = 3\n",
"shifted_x = x-delay_unit\n",
"plt.plot(shifted_x, y)\n",
"plt.grid()\n",
"plt.title(\"Shifted signal\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.axhline(color=\"black\")\n",
"plt.axvline(color=\"black\")\n",
"plt.show()\n",
"\n",
"#folded/reversed the original signal\n",
"folded_x = -shifted_x\n",
"plt.plot(folded_x, y)\n",
"plt.grid()\n",
"plt.title(\"Folded/Reversed signal\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.axhline(color=\"black\")\n",
"plt.axvline(color=\"black\")\n",
"plt.show()\n",
"\n",
"#scaling\n",
"scaling_factor = 2\n",
"scaled_x = folded_x/scaling_factor\n",
"plt.plot(scaled_x, y)\n",
"plt.grid()\n",
"plt.title(\"Scaled signal (final output) x(-2t + 3)\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.axhline(color=\"black\")\n",
"plt.axvline(color=\"black\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2 a"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from math import cos, pi\n",
"\n",
"start = 0; end = 3; step = 0.01\n",
"time = np.arange(start, end+step, step)\n",
"f1_var=1\n",
"f2_var=2\n",
"f3_var=3\n",
"\n",
"f1 = np.vectorize(lambda x: cos(2*pi*x*f1_var))\n",
"f2 = np.vectorize(lambda x: cos(2*pi*x*f2_var))\n",
"f3 = np.vectorize(lambda x: cos(2*pi*x*f3_var))\n",
"\n",
"plt.plot(time, f1(time))\n",
"plt.title(f\"Cosine signal with frequency = {f1_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time, f2(time))\n",
"plt.title(f\"Cosine signal with frequency = {f2_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time, f3(time))\n",
"plt.title(f\"Cosine signal with frequency = {f3_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time, f1(time)+f2(time)+f3(time))\n",
"plt.title(\"Consolidated cosine signal\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2 b"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9r7+5/t9WVVXhwQcfxHnnnYdjjjlGMW3Ia70ecr3u5Lo3H374IQ477DCMGDEC11xzDVwuF5588kkceuih+Pjjj7HvvvumjHfCCSdgt912w0033QRZlnHkkUfi8ssvx8svv4zLLrss5diXX34Z48ePR6dOnQAAr7zyClpaWnDeeeehS5cuWLFiBe677z788ccfeOWVVzKu8fvvv8eRRx6JPffcE9dffz38fj/WrFmjv7ZD1kh9fb0MQD766KM1Hb9q1SoZgHzWWWelPP63v/1NBiB/+OGHsizL8uuvvy4DkL/44ous5wMgX3PNNcr311xzjQxAPuOMM1KOO+aYY+QuXboo369fv152u93yjTfemHLct99+K3s8ng6Pt6eiokK+4IILsh4zbdo0uU+fPsr3r776qgxAvueee5THotGofOihh8oA5CeffDLluQDk66+/PuWce++9tzxixIiUx1paWlK+D4VC8h577CEfeuihKY/36dNHnjZtWtY5v/LKKzIA+YcffpBlWZbfeust2e/3y5MmTZJPOukk5bg999xTPuaYY5Tvn3zySRmAvG7dOuWx3XffXT744IM7jEGOHTdunByLxZTHL7nkEtntdst1dXVZ50iYMGGCDEAGIPt8Pvmcc86RW1tbsz4nFArJ3bp1k4cPHy4Hg0Hl8UceeUQGkDLfdevWdbgvZO7tfy/J7922bduUxxobG+XKykp55syZKcfW1NTIFRUVKY+T+33llVemHPvxxx/LAOTnn38+5fGFCxd2eLxPnz4yAPmjjz5SHtu6davs9/vlSy+9VHmM3OMlS5ZkuVJJMq354IMPlgHIDz30UMrjzz77rOxyueSPP/445fGHHnpIBiB/+umnsiwnXwvOP//8lONOOeWUDn/X7f+WCOS6E/T8XZP5P/PMM8pjwWBQrq6ulo877jjlsSeeeEIGIN91110dxlf//raf85lnnin36NFD3r59e8pzpkyZIldUVCh/t0cffbS8++67dzh3Lj744AMZgPz22293+NmVV14pX3HFFfKCBQvkF198Ufn9OuCAA+RwOKwct2TJEuVvKNNHSUlJxjls27ZN3nXXXeVhw4bJTU1NutdAOOecc5TxXC6XfPzxx8u1tbUpx5D7le3j9ttvzzjGbbfd1uF+myEYDMpDhw6V+/Xrx+2afvbZZzIAecGCBVnn1tbWJkej0ZTH1q1bJ/v9/pT/KV988UWH17hsTJ48WQ4EAvJvv/2mPPbDDz/Ibrc75e9Qljv+vyGvp+3vEbler7zySsrjY8eOlYcNGya3tbUpj8ViMXn//feXd9ttN+Ux8vo0ZswYORKJKI8bef3N9f9227ZtHf7Os0HWpn6t1fq6k+nexGIxebfddpMnTJiQ8vrT0tIi9+vXT/7rX/+qPEZeH08++eQOcxs9enQHLbFixYoOc2uvL2RZlm+++WZZkqSU34P2r8V33313h/+JRtAcpichoLKyMk3Hk9YUs2fPTnn80ksvBQAlt5S4F++88w7C4bDW6Sice+65Kd8feOCB2LFjhzLf1157DbFYDCeeeCK2b9+ufFRXV2O33XbDkiVLsp6/srISy5cvx6ZNmzTPaeHChfB6vZg5c6bymMvlwgUXXKBrHb/++mvKY0VFRcrXO3fuRH19PQ488MCUlAGtkHdgH330EYC4A/rnP/8Zf/3rX5VQdl1dHb777jvlWKOcffbZKeHFAw88ENFoVHOLmltuuQXvv/8+Hn/8cey3334IhUKIRCJZn/Pll19i69atOPfcc1OSyqdPn069uGPRokWoq6vDySefnPI75na7MWrUqLS/Y2rHG4i/K62oqMBf//rXlHOMGDECpaWlHc4xdOjQlPtSVVWFQYMGdfidoYXf78eMGTM6zHnIkCEYPHhwypxJnhuZM3ktuOiii1KeTxxDI+j9uy4tLU3Jq/T5fNh3331Trterr76Krl274sILL+wwXqbwuCzLePXVV3HUUUdBluWUuUyYMAH19fXK32dlZSX++OMPfPHFF7rWumPHDgBQHAw1N998M2655RaceOKJmDJlCp566inceOON+PTTT9Om8MydOxeLFi3q8DF+/PiM40ejUZx88slobGzE66+/bioP7eKLL8aiRYvw9NNP47DDDkM0GkUoFOpwXN++fdPO87nnnst6/iVLlmDOnDm48MILcfrppxuep5pZs2bhhx9+wP3335+2cI3FNSX3Op3jqsbv9yvFQ9FoFDt27FDCpEb+L5DzvPfee5g8eTJ23XVX5fEhQ4ZgwoQJhs6ZidraWnz44Yc48cQTFYd5+/bt2LFjByZMmIBffvkFGzduTHnOzJkzU+oWjLz+avl/SwMtrzuZWLVqFX755Reccsop2LFjh7Ku5uZmjB07Fh999FGHwun26wKAk046CStXrkxJNVqwYAH8fj+OPvpo5TG1vmhubsb27dux//77Q5ZlfP311xnnSTTcm2++aaqQW3OYvry8HEA8JKGF3377DS6Xq0NYorq6GpWVlYoQOfjgg3Hcccfhuuuuw913341DDjkEkydPximnnNIhMTod6j8WIPlHvHPnTpSXl+OXX36BLMvYbbfd0j4/V/HRbbfdhmnTpqF3794YMWIEDj/8cEydOhX9+/fPuvYePXp0KPDIlPgeCASUHBX1OtqHpN555x3ccMMNWLVqVUoIyEjPr+7du2O33XbDxx9/jHPOOQcff/wx/vKXv+Cggw7ChRdeiF9//RWrV69GLBYzLUaz3SMtqCsMTzvtNOyzzz6YPn161nxZ8vvV/r57vd6s984Iv/zyCwBkLDYgfzsEj8eTkutEzlFfX58xBEqS/wntrymQ/neGFr169epQKfrLL79g9erVHX53CWTO5LWgfZh70KBBhuej9+96l1126fB30qlTp5T86LVr12LQoEG6KuW3bduGuro6PPLIIxm7iJDrcMUVV+CDDz7Avvvui4EDB2L8+PE45ZRTcMABB2gaS86RP0i45JJLcPXVV+ODDz7AlClTUn42bNiwtJ0Ssom8q666Ch9++CHefffdjKkKWhk8eLDSdmrq1KkYP348jjrqKCxfvjzl/pSUlKSdZ7Yc0D/++AMnnXQSDjjgANx1112m5km4/fbb8eijj2LevHkdCrAILK4pude5XttJZ48HHngA69atS6kz6NKlS9bnZmLbtm1obW1N+7c1aNAgqj1Q16xZA1mWcfXVV2dsZ7V161b06tVL+b5fv34pP9f7+qv1/y0NtLzuZIKsK1N6HwDU19envEltf22AeOh+9uzZWLBgAf7+979DlmW88sorOOyww1KuzYYNGzB37ly89dZbHa5FfX19xjmcdNJJeOyxx3DWWWfhyiuvxNixY3Hsscfi+OOPT+mykAtdYrRnz5747rvvNJ8cyP3HRPq0ff7553j77bfx3nvv4YwzzsCdd96Jzz//PGfOT6bKbvLHHIvFIEkS/vOf/6Q9Ntf5TzzxRBx44IF4/fXX8f777+P222/Hrbfeitdee03JNTOLlur0jz/+GJMmTcJBBx2EBx54AD169IDX68WTTz6pqQAiHWPGjMHixYvR2tqKlStXYu7cudhjjz1QWVmJjz/+GKtXr0ZpaSn23ntvQ+cn5LpHevD5fJg0aRJuueUWtLa2prybswrybvDZZ59FdXV1h5+3FzdqN0N9jm7duuH5559PO0b7F0+a11QL6a5zLBbDsGHDMv7jz5aXm4lsBTrtx9bzd83qepF7f9ppp2X8p0FyzYYMGYKffvoJ77zzDhYuXIhXX30VDzzwAObOnau0kUkHERVa/1kWFRWhS5cuqK2t1bOUtLzxxhu49dZbMW/ePGrdK9Qcf/zxOOecc/Dzzz+benMSCoVw/PHHw+/34+WXX6bSeuupp57CFVdcgXPPPRdXXXWV6fMRtFxTcq/T5aiquemmm3D11VfjjDPOwLx589C5c2e4XC5cfPHFedFukMzxb3/7W0bXtb2J0/61SO/rL69uMNnG0vK6Q9Z1++23Z2z51P51Lt3rdM+ePXHggQfi5Zdfxt///nd8/vnn2LBhQ0pdTTQaxV//+lfU1tbiiiuuwODBg1FSUoKNGzdi+vTpWX+XioqK8NFHH2HJkiV49913sXDhQixYsACHHnoo3n//fc3XW9df7JFHHolHHnkEy5Ytw+jRo7Me26dPH8RiMfzyyy8pRRNbtmxBXV1dh2a3++23H/bbbz/ceOONeOGFF3DqqafipZdeMt2PbMCAAZBlGf369cOf/vQnQ+fo0aMHzj//fJx//vnYunUr9tlnH9x4440ZxWifPn2wZMmSDu1v1qxZY2h8IB5CDAQCeO+991Ic4yeffNLwOQ888EA8+eSTeOmllxCNRrH//vvD5XJhzJgxihjdf//9c/4ysdiNIRutra2QZRmNjY0ZxSj5/frll19S3jGHw2GsW7cOe+21F7X5EGejW7duhvtzDhgwAB988AEOOOAAagKb9X0ZMGAA/ve//2Hs2LFZxyKvBcR5JPz0008dju3UqVPa6ur2KR00/q7bM2DAACxfvhzhcFhzuzbSHSAajWq69yUlJTjppJNw0kknIRQK4dhjj8WNN96IOXPmZGwNQ5zEdevWaZoTCXdmcqy18vPPP2PatGmYPHmy7spYrZBK3WzOixYuuugirFq1Ch999FHOIhstvPnmmzjrrLNw7LHHYv78+abPR9B6Tcm9zlRwSPjXv/6Fv/zlL3j88cdTHq+rq0sRsnpeC6qqqlBUVKQ4c2rS/c2agUSpvF6vqddOwNzrb3t4/k/LNBZZV3l5uel1nXTSSTj//PPx008/YcGCBSguLsZRRx2l/Pzbb7/Fzz//jKeffhpTp05VHl+0aJGm87tcLowdOxZjx47FXXfdhZtuugn/+Mc/sGTJEs1z19Xa6fLLL0dJSQnOOussbNmypcPP165di3/+858AoIQ07rnnnpRjiItCKml37tzZ4V0CeRfQvhrRCMceeyzcbjeuu+66DuPIsqzkY6UjGo12eJHs1q0bevbsmXVuEyZMQDgcxqOPPqo8FovFTL2oud1uSJKU4hCtX78+pWJZLyT8fuutt2LPPfdUcikPPPBALF68GF9++aWmEH1JSQmTbSPbh6aB+Ivsq6++it69e2et6h05ciSqqqrw0EMPpeSkPfXUU9TnOmHCBJSXl+Omm25Km/espY3ViSeeiGg0innz5nX4WSQSMTRnkofGakvPE088ERs3bkz5PSe0trYqla7kTdu9996bckz71wYg/gJcX1+fEsbavHmz0n2DYObvOhPHHXcctm/fjvvvv7/DzzI5GW63G8cddxxeffXVtFEj9b1vPyefz4ehQ4dCluWs+fK9evVC7969O2yr29bWljZtat68eZBl2ZST2dTUhGOOOQa9evXC008/bfqfc7q/5XA4jGeeeQZFRUUYOnSo4XM/+eSTePjhhzF//vwO1cVG+OijjzBlyhQcdNBBeP7553WFGrOh55quXLkSFRUVadtMqXG73R1+N1955ZUOeZZ6XgvcbjcmTJiAN954Axs2bFAeX716Nd57772cz9dDt27dcMghh+Dhhx/G5s2bO/xcy2snjdff9hATicd2yJnuzYgRIzBgwADccccdaGpq6vA8Pes67rjj4Ha78eKLL+KVV17BkUcemZKnTAwn9e+SLMuKnstGugiMEQ2nyxkdMGAAXnjhBZx00kkYMmRIyg5Mn332GV555RWl39hee+2FadOm4ZFHHkFdXR0OPvhgrFixAk8//TQmT56Mv/zlLwCAp59+Gg888ACOOeYYDBgwAI2NjXj00UdRXl6eMUdH75xvuOEGzJkzB+vXr8fkyZNRVlaGdevW4fXXX8fZZ5+Nv/3tb2mf29jYiF122QXHH3889tprL5SWluKDDz7AF198gTvvvDPjmJMnT8a+++6LSy+9FGvWrMHgwYPx1ltvKTfNyAv7EUccgbvuugsTJ07EKaecgq1bt2L+/PkYOHCgpvyTdAwcOBDV1dX46aefUoo2DjroIFxxxRUAoEmMjhgxAg8++CBuuOEGDBw4EN26daPSrPmwww7DLrvsglGjRqFbt27YsGEDnnzySWzatClnWyiv14sbbrgB55xzDg499FCcdNJJWLduHZ588knqOaPl5eV48MEHcfrpp2OfffbBlClTUFVVhQ0bNuDdd9/FAQcckFbgqDn44INxzjnn4Oabb8aqVaswfvx4eL1e/PLLL3jllVfwz3/+E8cff7yueQ0fPhxutxu33nor6uvr4ff7ceihh5pqzaPm9NNPx8svv4xzzz0XS5YswQEHHIBoNIoff/wRL7/8Mt577z2MHDkSw4cPx8knn4wHHngA9fX12H///bF48eK0kYIpU6bgiiuuwDHHHIOLLrpIadHypz/9KaUgw8zfdSamTp2KZ555BrNnz8aKFStw4IEHorm5GR988AHOP//8lGR/NbfccguWLFmCUaNGYebMmRg6dChqa2vx1Vdf4YMPPlD+7sePH4/q6moccMAB6N69O1avXo37778fRxxxRM7C0KOPPhqvv/46ZFlWXj9qamqw99574+STT1bc0/feew///ve/MXHixIzz1cJ1112HH374AVdddRXefPPNlJ8NGDBAiYxNnz4dTz/9NNatW5d1l69zzjkHDQ0NOOigg9CrVy/U1NTg+eefx48//og777zTcAum7du34/zzz8fQoUPh9/s75Gkec8wxKCkpwfr169GvXz9MmzYta3/N3377DZMmTYIkSTj++OM7tLTZc889DbX4AbRfUyDuSB111FE5/1cceeSRuP766zFjxgzsv//++Pbbb/H88893eI0bMGAAKisr8dBDD6GsrAwlJSUYNWpU2hxDMteFCxfiwAMPxPnnn49IJKL0yDX6/yYT8+fPx5gxYzBs2DDMnDkT/fv3x5YtW7Bs2TL88ccfKT1T00Hj9bc95A3SggUL8Kc//QmdO3fGHnvskbXNllGy3ZvHHnsMhx12GHbffXfMmDEDvXr1wsaNG7FkyRKUl5en3U43Hd26dcNf/vIX3HXXXWhsbOzQTm3w4MEYMGAA/va3v2Hjxo0oLy/Hq6++qik16Prrr8dHH32EI444An369MHWrVvxwAMPYJdddsGYMWO0XwgjJfg///yzPHPmTLlv376yz+eTy8rK5AMOOEC+7777UtozhMNh+brrrpP79esne71euXfv3vKcOXNSjvnqq6/kk08+Wd51111lv98vd+vWTT7yyCPlL7/8MmVMZGjt1L6dQLrWQ7Icb7c0ZswYuaSkRC4pKZEHDx4sX3DBBfJPP/2UcZ3BYFC+7LLL5L322ksuKyuTS0pK5L322kt+4IEHUo5L145m27Zt8imnnCKXlZXJFRUV8vTp0+VPP/1UBiC/9NJLKc9N1/6jffsEWZblxx9/XN5tt91kv98vDx48WH7yySfTHqeltRPhhBNO6NBCJBQKycXFxbLP5+vQQind9a2pqZGPOOIIuaysLKVtUqZWQenaYKTj/vvvl8eMGSN37dpV9ng8clVVlXzUUUeltDTKxQMPPCD369dP9vv98siRI+WPPvpIPvjgg6m2dlKva8KECXJFRYUcCATkAQMGyNOnT0/5Xc50vwmPPPKIPGLECLmoqEguKyuThw0bJl9++eXypk2blGP69OkjH3HEER2e235dsizLjz76qNy/f3+lJUu2a56ttVOmlkShUEi+9dZb5d133132+/1yp06d5BEjRsjXXXedXF9frxzX2toqX3TRRXKXLl3kkpIS+aijjpJ///33tO1T3n//fXmPPfaQfT6fPGjQIPm5555L+3suy9r+rjPNP93fbUtLi/yPf/xDec2qrq6Wjz/+eHnt2rXKMenmvGXLFvmCCy6Qe/furTxv7Nix8iOPPKIc8/DDD8sHHXSQ3KVLF9nv98sDBgyQL7vsspTrlImvvvpKBpDSRmvnzp3yaaedJg8cOFAuLi6W/X6/vPvuu8s33XSTHAqFUp6fqa2O+lqofy9JC5x0H+rXluOOO04uKiqSd+7cmXX+L774ojxu3Di5e/fussfjkTt16iSPGzdOfvPNNzscm+33rX3bIPJ9pg/yOvXtt9/KSNNSrT252jWp7zura7p69WoZgPzBBx9knassx1s7XXrppXKPHj3koqIi+YADDpCXLVuW9rXgzTfflIcOHSp7PB5NbZ7++9//yiNGjJB9Pp/cv39/+aGHHtL0/0ZvaydZluW1a9fKU6dOlaurq2Wv1yv36tVLPvLII+V//etfyjGZXp/U5zf6+ptuXZ999pmy/nR/8+nW1r61k9bXnWz35uuvv5aPPfZY5XWjT58+8oknnigvXry4w/yztVd69NFHZQByWVlZ2taIP/zwgzxu3Di5tLRU7tq1qzxz5kz5f//7X4f5tL9Wixcvlo8++mi5Z8+ess/nk3v27CmffPLJ8s8//5xxLumQZJlRxYOgA2+88QaOOeYYfPLJJ5oraAUCJyNJEq655pqsu5sI4owdOxY9e/ZM2+TdKrp3746pU6fi9ttvt3oqWXnggQdw+eWXY+3atVRySlly8cUX46OPPsLKlSu55+MLBFZBJxlG0IH2W2hFo1Hcd999KC8vz7iTikAgEGTipptuwoIFCzT352XN999/j9bWViWlx84sWbIEF110ke2F6I4dO/DYY4/hhhtuEEJUUFCY738hSMuFF16I1tZWjB49GsFgEK+99ho+++wz3HTTTbZoRyQQCPKLUaNGpW0QbxW77767srmI3cm2naGd6NKlS9piFYHA6QgxyohDDz0Ud955J9555x20tbVh4MCBuO+++zBr1iyrpyYQCAQCgUBgG0TOqEAgEAgEAoHAMkTOqEAgEAgEAoHAMoQYFQgEAoFAIBBYhsgZ5UAsFsOmTZtQVlYmKiQFAoFAIMgT5MTW0z179qS2G5egI0KMcmDTpk3o3bu31dMQCAQCgUBggN9//x277LKL1dNwLEKMcoBs9ff777+jvLzc4tkIBAKBQCDQQkNDA3r37p1zy16BOYQY5QAJzZeXlwsxKhAIBAJBniFS7NgiEiAEAoFAIBAIBJYhxKhAIBAIBAKBwDKEGBUIBAKBQCAQWIYQowKBQCAQCAQCyxBiVCAQCAQCgUBgGUKMCgQCgUAgEAgsQ4hRgUAgEAgEAoFlCDEqEAgEAoFAILAMIUYFAoFAIBAIBJYhxKhAIBAIBAKBwDIcJUY/+ugjHHXUUejZsyckScIbb7yR8zlLly7FPvvsA7/fj4EDB+Kpp57qcMz8+fPRt29fBAIBjBo1CitWrKA/eYFAIBAIBIICxFFitLm5GXvttRfmz5+v6fh169bhiCOOwF/+8hesWrUKF198Mc466yy89957yjELFizA7Nmzcc011+Crr77CXnvthQkTJmDr1q2sliEQCAQCgUBQMEiyLMtWT4IFkiTh9ddfx+TJkzMec8UVV+Ddd9/Fd999pzw2ZcoU1NXVYeHChQCAUaNG4c9//jPuv/9+AEAsFkPv3r1x4YUX4sorr9Q0l4aGBlRUVKC+vh7l5eXGF9WOtnAUv2xpwtCe5XC7JGrnzYUsy5BlwMVxTDEuP7bUtwLrP0HVkDFw+Yq4ji1wNp+vfBB77nEqiv30XgedSigagktywePyWD0V27O9dTs2NW3CnlV7Uj83q//fglQc5YzqZdmyZRg3blzKYxMmTMCyZcsAAKFQCCtXrkw5xuVyYdy4ccox6QgGg2hoaEj5oE0sJmPkDR/gqPs/wfodzdTPn42/v/4d9rrufWysa+U67i3/+RFD5i7Emq2NXMd9YOla/Omq/+CbP+q4jvvs579hwD/+jWVrd3Adt/bZaej++vF496lbuI5LnU/vBd66EKj/w+qZmCPUAnx4A/D2/wGRoNWzMcxn3z2P876djzOfOwA7GvL8njDmy5ovMe6VcZj0xiT8Wv+r1dOxNevq1+G0f5+Gcz84F2vr1lo9HYFBClqM1tTUoHv37imPde/eHQ0NDWhtbcX27dsRjUbTHlNTU5PxvDfffDMqKiqUj969e1Ofu8slYUBVCQBg9Wb6YjcTsizjnW82oTEYwUc/b+M2LgC8881mBCMxLF7NN0Xi7f9tQiQm473vM99zFrzzv82QZeA/323mOu4X8hAAwNjtzwNhvm84qNFYAyy6GvjqGWD+fsBvmd882prm7cBDY4CPbgdWPgX8+K7VMzJM8TevoDQWw3ce4LRFM1HbVmv1lGzJZ5s+w9mLzsbO4E783vg7Tv/36fhl5y9WT8uWrK1bi9P/czo2Nm1Epb9SuMh5TEGLUVbMmTMH9fX1ysfvv//OZJwhPeIhA55idGNdKxrbItzHrW8NK04sz3FDkRjWbmsCAPy4mZ8jK8syVtfE18lzvQDweNP++EPuiuLQNuDLJ7mOTY2fFya/DjUCn95j2VRM8b8XgVqV2/PTf6ybixk2rcLwn5fg2c3b0KuoG/5o+gMLflpg9axsyX1f3YdwLIxDdjkEw7oOQ0OoAY99+5jV07Ilj377KOqD9di9y+547vDn0Ke8j9VTEhikoMVodXU1tmzZkvLYli1bUF5ejqKiInTt2hVutzvtMdXV1RnP6/f7UV5envLBAiJGeYok9Vh8x00Ksh9r+I27dlsTwtF4WrVVov/HzY3gldpd3xrGb/UR3B+ZHH/g03uAWIzL2FQhou1Ph8U///ElkI/p8X98Ef9M1vHLe0A0bN18jJJ4M9B38GRcMOJiAMCba95ETM7D3y2GrNm5Bt/t+A4eyYNr978Wc/adAwBYvGExGkJ835TancZQIz747QMAwN9H/R2dA50tnpHADAUtRkePHo3FixenPLZo0SKMHj0aAODz+TBixIiUY2KxGBYvXqwcYyVWOKPqsVbXNHATSepx12xtQjAS5T7upvo21LWEOI2bFNyNwQj+2MknXE5E/7LS8YDbDzRtAerWcxmbGqFm4Nel8a8Pvhxw+4CW7cDO9VbOyhh/fBn/vN95QHEXoK0e2PC5tXMywobl8c8jZ2Bcn3Eo9ZZiY9NGrNyy0tp52Yw31rwBADhol4PQpagL9ui6BwZUDEAwGsTCdQuzP7nAWLh+IYLRIPpX9MewrsOsno7AJI4So01NTVi1ahVWrVoFIN66adWqVdiwYQOAePh86tSpyvHnnnsufv31V1x++eX48ccf8cADD+Dll1/GJZdcohwze/ZsPProo3j66aexevVqnHfeeWhubsaMGTO4ri0dg6rLAHAWSTVJcdbYxlEkqdzQSEzGmq1NXMZtL/R5ubI/thuX1xsOMs5uPTsDVX+KP7j1Ry5jU+PXpUCkDajcFei5N1Cd+EdFhF2+0LAJaNgISC6g1whgtwnxx/MtVN9aBzRuin/dfXcUeYowoW98La//8rp187IZ4VgYb//6NgBg8sDJAOJdYY7Z7RgAcSdZkIQI92MGHgNJ4ttxREAfR4nRL7/8EnvvvTf23ntvAHEhuffee2Pu3LkAgM2bNyvCFAD69euHd999F4sWLcJee+2FO++8E4899hgmTJigHHPSSSfhjjvuwNy5czF8+HCsWrUKCxcu7FDUZAUVRV70qoy33lnNKWROxiHdhniLpOS4Dl9vjbXrHdKjHKiKFzJh6w9cxqYGEZ0DxgKSBOzy5/j3G/NMjJJ1dNsd8JcCA8cmHv/CujkZYVvizUx5LyBQAQA4asBRAIBPNn7CLbpid37Y8QNq22pR4a/AmF3GKI8f0f8IAMA327/BzradVk3PVtS11eGbbd8ASF4fQX7jKDF6yCGHJHozpn6QXZWeeuopLF26tMNzvv76awSDQaxduxbTp0/vcN5Zs2bht99+QzAYxPLlyzFq1Cj2i9EIz1B9SyiitJE6cLeqxLjsRVI0JuOnLY3txmW/XlmWlXF4jhsfh/96gaQIHlxdDnRLiNFteeaM1iZa4XRNOLtEjOabiCPz3WVk/HPX3eKfd66zZj5G2bo6/pn8PgHYs+ue8Lv92BncifUN662Zl81YtXUVAGDvbnvD6/Iqj3ct6op+Ff1Sjil0Vm1bBQDoW94XVcVV1k5GQAVHidFCZGiPeKieh1j5qaYRsgx0LfXjwN26cht3/Y5mtIVjKPK6MXGPam7jbmsKYkdzCC4JOHp4z8S47MW3WvQfu0+v+Lg17Ncbjcn4qYY4o2VJ8UDERL5AxGjn/vHPRMxt/gYIt1kzJyMQZ5SI6U5xQYLmbUBbHhWzkN+fqsHKQ163F7t32R2AEFiEr7d+DSAuRttDHvt629dc52RXsl0rQX4ixGie07+qFAC45G6SMfp3LUH/RI/TP+pauI3bp0sxBnbjv94eFUXYvWdF4jH2691U1wZZBsoCHvy5b2dlLqzDmTuagghGYnBJQJ8uJUkxuv1nIBphOjY1ZBmoTTiHRIxW9omHh2PhpFDNB7YlRFyPxK4ygXKgJOEC5ZM7StI8ug1NeVgRWFuFwJJlOavAGl41HIAQ7gS1iyxwBkKM5jkVRfFwTmOQfbuXhrb4GBXF3uS4bexFSkNrfNzKlHE5rDcxbkVR6npZi0JyndXrjcZktIbZdhAg45YFvPHtZSt2BbzFQDSUPyKueXu8rygkoFOi56CUWAuQP7sxBZuA1kR+YOWuyceJwM6X+wEk0zy6DU55eHi34QCEGAWA3xt/R21bLbwuL4Z2Gdrh50R0fb/9e4SifIpV7UooGsJ32+NbeJPfIUH+I8RonlNeFN9xor6VvTgjY5QHvCgPeC0dt4GDKFTGLfIo1zkSk9ESYisK1est9rnjwhDsr7V6vQAAlysZWs2XIiYi0ip6Ax5/8vHKxC5o9Rs6PseOENHsr1CKfgDknxht3h5PKwBSwvRA0u1b37C+4AtziCDfvcvu8Lv9HX7ep7wPOgc6IxQL4YcdefK3yIgfdvyAUCyETv5O6Fve1+rpCCghxGieQ5yzhlYeDmVEGbNcGTfMzSlUO5TRmIxmxqKwoS253iKvG56EKGxg7MqqHVlJkrjdY/X9VVCKmH5iOjY1lHzRfqmPVxAxmifOKJlnZbuthPNNjBJXtLIP4CtJ+VFloFIpzCGV0YXK/7b9D0DmsLMkSdiraq+UYwsVsv69uu0lWjo5CCFG8xziFDa2hRGL8RGF5UUeZdyYDPaiMCGSyou8CHhd8LoTopCxU9igciglSVIJcMaiMCGCyTUuD3gSjzNeb1tyvQqViVB3PZstbanTvniJULFL/HNdnqyDOLhk3gRFjOZJzigR1SRloh1DOsff7PxSV9h7r5O954d0GZLxGPKzn3f+zGVOdoVcq6GdO6YzCPIXIUbzHCKQ4qKQtXOWFCsBrws+tyvlcWbjtrUThUqontO4iWusOJScnFESLle70FzGVYvR8h7xz401TMemRiYxqoTp80SMEtFc0d4ZTTi++eKMNm6Ofy7rmfbHAysHAgDW1K3hNSPbIcsy1tatBQAMqByQ8ThyrcixhYqWayXIP4QYzXP8HpUoZFxMpDh2RcQp5OTYZRRnfMLWHRxKjuJb/Zm9+Cb315N8kIgIIirsTsYwfZ4VMGUK05P2To2b49ue2p2GxO8NeVPTDiIoCllgbW3ZisZwI9ySO2sOJLlWv9b/ipgc4zQ7eyHLMtbWx39XiDgXOAMhRvOcFFHIzTlLiMKAxWFrXqKwvQhmLr6Tol89PnvxncUZbdjEdGxq5ArTN24GouyL7kxDHNz2YfrizkCgMv51PoTqyTagGZxRIrDW1a9DNMY23ceuECHeu6w3fG5fxuN6l/WGx+VBa6QVm5vz5M0hZTY3b0ZrpBUelwe9y3vnfoIgbxBi1AEkRSHfsHUZ7/CxIs44h8vbO5TMxXcm0c/3/gIAyhJitLXW/g3jQy1AW1386/YirqQKcPsBOZYfwpo4oxW7dvwZcUvzwa3O4YzuUroL/G4/gtEg/mjKE9eaMiRFIZfT53V5Fee0UJ1kcq36lvdN2aVKkP8IMeoAFFHIOkyfKWzNrbCGtzjL5FA6VXyT+6sK0xd1ios4wP7ip3lr/LOnCPCXp/7M5UoKVLvnjUYjScHcPkwPAKXd45+btvKbk1GUnNH0YtTtcisV9YUqsH6tj7v5WnIgCz3HVuSLOhchRh0AKaxh2YdSluVky6HiVJHEuv9l5nH5hK3J9eXVW7X9uDzur/r85DoDiDeMz5ciJiLOSqvi825PvlTUN24C5Cjg9gEl3Tr+nDzWtIXvvPQSiyV/ZzKIUUDkjWp1RgFxrYQYdS5CjDoAHjmUwUgMoWgsZTweYeu4CG7nyFpdOMWtkKh9jiyv9IB24S+liMnm4W0izohz2J7KPOk1SuZX3ivu6LanlIhRmzujzdviolpyZb4nKGy3T2slPaHQK+rJukXxkvMQYtQB8BBJRJi5JKDER8QZe1GYIoKL2uduMnaCO1S1W1NIxD1HtqidGFWKmGweps8lRpWKeps7o0q+6C7pf66E6W3ujJI3LyXdALcn42EDKpJV4oXG1pataAo35aykJ6gr6llvNmI3ZFlOpjRUCGfUaQgx6gB4OJTqfctdiZ2IeIjCVBHsjo/LQZy1hWMIR+WU8XiMmyKCi9o50Lwc2Q7OKAnT212MkjB9mtC2+nGyPaVdIesoq07/83xxRnMULxH6lMcb4v/e+HvBCazfG+NvjHqW9oTXnbsgZ5fSXeCSXGiNtGJH2w7W07MVO9p2oCXSAgkSepeJSnqnIcSoA+DhUNa3duxBycWRVVV4k63feDiUZNwUEcxBFKaI4PZpCczTIdrtTU8oT4Tp7V6FnssZLamKf7a7GCXzI/NtT745oxnaOhF6lsZ/3hxuRl2wjvGk7AXpILBLaQYXvB1etxfVxfE3KX802jzdhDJkvdUl1ZqEuyC/EGLUAXBxKNPkE/LYM72+taNbxzMtIUUEc1gvWZPbJaGYowhuDUcRiaWKYAXi0OVNAVMGZzRvxOj2+OeSrul/ni/V9ErxUgaHN0HAE0C34vg9K1SBpcfpI8cSV7VQIMJduKLORIhRB8BVnKlFIYfWTu1D1uo5cBk3RXxzWK9qY4GOIjjMLIxJBLZaBCvkTQETEaOZnNGEuGu2eXizJSFGizOJ0YTYDtbbu/erxjA9kHQGC63XqOKMlmlzRtXHFty1atR/rQT5gxCjDoCIQpatjtKFcHm0dkongokorG9hmZaQRQS3hhGLsRGF9WmKiMi4MRloCrK5x/VpRHByAqoCJjvn9GkVo6FGINzKZ05GyBWmD1Qke78229gd1RimB1QCq0CdUUNitFCvlcaUBkF+IcSoA6go4hGmj6SMBfAtYEoZN/F1YzDCTBQSpzDduDEZaA6xEYXEdVWPG/C64HO7Ej/nN65CaSLMGg0CwQYm45tGllU5oxnC9P5ygOzaQkLhdkQRoxmcUUnKj1B9U2IdWdo6EQre7dMhsBQXudDEqAEXWZA/CDHqACwL0ydcQ6aiME2FN/laloEmxqJQPa7fw0EUpsmRlSSJ+e5PGds6AYA3AHhL4l+32DTE3VYfF8tA+kbxQFzEEbexxc5iNHGNM4lRQFVRb+MiJvK7UtIl56GFKLBawi1KRbwI0+dGOKPORohRB0CESxNTUZg5fMxUFKYJlwe8bvg8rpSfMxuXtyhMkyOrngfzcdsXLxGKE4KipZbJ+KYhDmGgIi6eM6HkjdpUjIaagXBz/OtMYXrA/hX1spwUo8W5xSgpSikkMbqxaSMAoMJfgTJfmebnETG2tWUrguQNmMMJRoPY2hL/GxfOqDMRYtQBlCVyRmU57lKyIN2+5VxEYQaRxLq3anIXJM6iMI0IBoAyxf1mfH/bt3UiFHeOf7atGE2IskyuKEERozatqCci2e0HfKWZjytNCFW7hunDLUmnWoMYJQKjpqUG4Sjbfrp2wajTV+GvQKk3/rtBBK3T2dS0CTJklHhLUOmvtHo6AgYIMeoAAl43/LxEYRFnUaiIpHbjMq5st0wUtmVYL+MtXzOtV0ERozYN0+fqMUpQ2jvZ1Bkl6QMlVfG0gkzY3RklvyduP+Atznl4l0AXBNwBxOQYNjfbfHMFSpDWTHqdPkmSCq6ISblWpbt0LLAUOAIhRh0C68r2TGKFiEJm4+YIW7MfN70oZH+d262X9f3NsF4FJUxvUzFKnM5MxUsEu/cazdVjlGD3XZjUIXoN4qEQBZbehvdqyHMKpdeoaOvkfIQYdQhl/rh4aQlFmZyftBQq8aeKpOS4bJxCZVxfu3EDrMeNX8cO62U+rlXXObFeX6Ywvd3FqEYRR9ZhV2c0VyU9QSnEsun90JEvSiA7MW1qtnk/W0psboo7wGTdeiDPIedwOsQt71GSu2etID8RYtQhBLzxRuWsxEprQuS2b4ieHJeNCE6OmyqS2I8bSYxr1Xp5j5t+vQp2F6OtiVzWos7Zj7N7NX2zKkyfjaJO8c92zeEl8yrOcT9UdC+Opx5sabFp6gFlyDqrS7LvUJWOgrtWzcavlSA/EGLUIRAR0RZmJFbC6UUS+b6V8bhFmcZlJc4sHzdVfFt1nZMTsHnOaOvO+Odc4sf2YXqNzigR3WTddsOAM0qERk2zzbedpQRZJxGWeii4a9USX6cQo85FiFGHUMRJrBCHrv24zERwQvQVtR/X69Bxw1aNG0s7rgIRFbYVP8QZ7ZT9OLu3diLzyrQVKIGss7XWnrtiKc6odjFKRFkhCKxgNIidwfjfkiFntKSwnFEzwl2QHwgx6hBYhnFjMRltRKxYFLa2bNwMopD7uD4+YfqMzmhRnjijesSoLUWczjB9LAKEmtjOyQiKM6o9TE9EWSEILBJ2LvIUodxXrvv51cXxa7W1ZSuiMTavCXYhGotiW0s8YiCcUecixKhDYBk+boskz5kxTM84bG1VekD7cUn4nHe4vMiitAQF2+eM1sU/58oZJY5jpDXeYN5uaA3T+4oBT6K5vx3dapNhetmObxQoQgR39+LuhloVdS3qCrfkRlSOKrs4OZUdbTsQkSNwS25UFeV4kybIWxwnRufPn4++ffsiEAhg1KhRWLFiRcZjDznkEEiS1OHjiCOOUI6ZPn16h59PnDiRx1J0wTKMqxZAAQ+/8HE4GkMksaNUh/QATuHyjuO6Un5OfdwcjizvcRXUOzDFYkzmYAqlgKky+3G+kqSIs2PeKNkKNFeYHrB3EZMBMdqtON6uqjXSioZQA4tZ2QYl7FxiLOzsdrlRVVyVci6nQtbXtagr3K4Mr0+CvMdRYnTBggWYPXs2rrnmGnz11VfYa6+9MGHCBGzdmr4X32uvvYbNmzcrH9999x3cbjdOOOGElOMmTpyYctyLL77IYzm6YBm2Juf0e1xwuVLfxbMMW6vPyTNsnS0tgblDmSEtQRGjnNMDFEi4VY4CwXomczBMJJQMVecK00tS8pi2OqbTMoSSblCZ+1glb9SOzqj+avoiT5Gyu47TQ/VEYJFwuxHIc50uRs10HRDkD44So3fddRdmzpyJGTNmYOjQoXjooYdQXFyMJ554Iu3xnTt3RnV1tfKxaNEiFBcXdxCjfr8/5bhOnXL8w7MAlmHrtgwha4Bt2JqM63FJyrajyXGtSUtQ1ss5LYFXgVrG1k4eP0D2z7abE6eISgkIVOY+XhFxdVkP4040nNyXPpeoBuxdUW/AGQUKp4hJCdMbdEbVzy0U4S6Kl5yNY8RoKBTCypUrMW7cOOUxl8uFcePGYdmyZZrO8fjjj2PKlCkoKSlJeXzp0qXo1q0bBg0ahPPOOw87dmTP0QkGg2hoaEj5YA3LsHVLFtdMCVszdEbTj8tOnLVoSEtoYTBuKJI7LYGVCCZrbj9uCnZt79SiCtG7NLykEcFqN2dULY4DFbmPJ+5pq83eHMiyYTFaKC2LFGfUhNtXKM4ojWslsD+OEaPbt29HNBpF9+6p7566d++Omprcf6wrVqzAd999h7POOivl8YkTJ+KZZ57B4sWLceutt+K///0vDjvsMESjmUXBzTffjIqKCuWjd+/exhalA5ZhayV/Mq0zyk4UEuGVdlyG4qxVQ1pCG8PrrB5H+Z7hdY7FZAQj6dMSUlDEqM3EjxLa1hgSVkRcHYvZGIeIY38FoCU3rtimzmioCYgltq3Vek8SFEpFvRJ6NhOmL7RrJcSoo8mw91/h8fjjj2PYsGHYd999Ux6fMmWK8vWwYcOw5557YsCAAVi6dCnGjh2b9lxz5szB7Nmzle8bGhqYC1KWYetsIVyWYevs41qVlsB+3HRpCUzTMLKkJaROwqYV9a0ae4wSiDNqNxGniGoNriigKmCy2TrI74enKF71r4NCCdObLWBSP7dgrpUI0zsaxzijXbt2hdvtxpYtqe8St2zZgurq7O+ompub8dJLL+HMM8/MOU7//v3RtWtXrFmzJuMxfr8f5eXlKR+sYRm2zlbcwjJsrWVclmH6rOvlnJbAo0AN6JiWkIJtxajGHqMEuxYwKe2pdK7DbqLaYIgeULl9zc51+1ojragL1gEQYXotiDB9YeAYMerz+TBixAgsXrxYeSwWi2Hx4sUYPXp01ue+8sorCAaDOO2003KO88cff2DHjh3o0aOH6TnThEfYuv0WlYBqG1KW6QFpxFkxB0c2Xcia5bar2dISyHpDkRiiMbo9GJVxvR3TElKwa+N7rVuBEuweptdShAXYt4BJqaTXX+hZCHuukwbuRZ4ilHnLDJ+HOKPbWrc5tvF9NBbF9tb4RhCk9ZfAmThGjALA7Nmz8eijj+Lpp5/G6tWrcd5556G5uRkzZswAAEydOhVz5szp8LzHH38ckydPRpcuqe/km5qacNlll+Hzzz/H+vXrsXjxYhx99NEYOHAgJkyYwGVNWmGau6lsUdnx1yXA0pHNGi5n1+8zmxhVX2fajbmzrlclyGkL4bZwZkc2dRKViSfYrLWT1q1ACXYvYNLS1glI3RLUTpDfD62iWgXpnbmt1YY9YCmxtSXearCqqMpQw3tC50BnSJAQk2PK1qJOY2dwJ6JyFBIkdC3S0HtXkLc4Kmf0pJNOwrZt2zB37lzU1NRg+PDhWLhwoVLUtGHDBrjaVdv+9NNP+OSTT/D+++93OJ/b7cY333yDp59+GnV1dejZsyfGjx+PefPmwe/3c1mTViwP0zNxZCMZxw3wcIKzjBuNyQhFY/BnC2tTHNevyiFtCUVR4qf3p5stPSAFUuFtNzGqO0xfmfo8u0Dmo9kZtWmYXnF4Nea+qiA77DSHm9ESbkGxV1/OaT5AnD6z4srj8qBzoDN2tO3AtpZtjhRrxEXuHOgMj8tRckXQDsfd3VmzZmHWrFlpf7Z06dIOjw0aNCijw1VUVIT33nuP5vSYwaOAKWuY3qKwdTARtnZnCy8bHDfbegGgLURZjGZJS3C5JBR53WgNR6lf65xbgRIUR9FuYpQ4oxrD9EoBUx2L2RiHiDitzqhduxuQ3w+t61BR4i1BkacIrZFWbG/djl29u9Kdmw0gri9xgc1QVVwVF6Ot2zAEQ0yfz27QvFYCe+OoMH0hw7LaujVLGJdt2Drebqg4iyML0BfC2dISvG4XPAnhS/ta52o8zyoVQ7sYdYoz6sACJjvt5W4iTC9JyXCsU0P1isCisM86uVbEbXUatFxkgf0RYtQhcAlb+zLnjJKwNd1xE2H6NCJJHbamLs5yhK2TqQkRyuNmTktIHZfvehUUMVpHdXzTKAVMesP0NhPVuguYEuuVo0CwkcWMjEFEtYEwPZAUaU4Vo9tb6Aks5Vq1OPNakXXREO4CeyPEqEMgQiLIsNq6WEPYmuq4WRxZErZWz4/6uGnWG3+ckUOZJS0hZVxWYjTDehXs6oy26HRGidgL1gN2qkLWW8DkLYr38gTsVcSkOKPGxKji9rU40+2jGXouFBdZOKPOR4hRh6AWiqzC1ulyGXmErTOFj5mHrTM5lIzyZLOlJajnwzMtIXUClfHPbfX2CgsbLWAC7CWs9RYwAarG93YUo5WGnu70inqaoWdyrZwephc5o85HiFGHwDJsnavamlXYWuu47JzC9H8e7MLlmdMS2I6rM0wfDQGRNqpzMEw0DISb419rFT9uL+ArjX9tp0p0pYBJR39OO7bbouWMOlRg0cwZdXpKA81rJbA3Qow6BJdLQiDhbNEWZ9m2xwTYOZRtGp1RVuIsXVqCelxm6QE5HFl2DnSOML2vFJASLxl2qURva0h+7dex05kde43qDdMDScEXbMh+HE9MtHYCnJ0HGYqGUB+Mi3WaBUxOvFYA3fxagb0RYtRBKLsScQzTAwzD1hqdUZ5pCepxuaclsB43lzMqSfbLGyXCx1cKuHV0qrPbLkyRIBBpjX+tJ7xNBLhd7gdg2hl1sttH3F6vy4sKv7Hro0YdpqfdzcRqZFkWrZ0KCCFGHQSrsHVLKIczyih8rITpOTuyudZbzMgZzZWWkByXdhV/9vWmYLdeo8QR1OOKAvZzRhVRLOl0eIkYtYkzKsum+owCQNdi54bp1QU5ZnZfIhDHMBwLK46rU2gINSAcCwMQzmghIMSog1DC9BaFy1mlB/DOGc01LqstUHNd54BynWm30NLYZxSwoTOaEGF6XTi77cKkFGFVAi4dL8t2C9OHW4BY4s2SSWe0LliHcDRMa2a2gISdaeVA+t1+lPvib0ic5iST1INyXzn8bnvteCigjxCjDkIJ01N37LT1v2RWOJXLkaU+bny9ucL0zJzgXOOGKReK5UhLSMF2YpSEhHU6o3YL0+vtMUqwW5iezMPlAQxu5Vnpr1S2fnSaO8qiVZFT0xpE8VJhIcSog2CWU5hDFLIKW+fKZVS2IqU+bizl/BnHteg6U1+vrjC9zRrfBw06o3YN0+sNbSv3wybOqLrhvcEwtJN3YWKRA+nUtAalBVaxCNEXAkKMOogAs3B5XJzZNmxtWbjcYekBWpxRpZVQHdU5GIY4cXpzRp3ijAZs6owa7DFKcKrbx2J7S6d2HxDOaGEhxKiDKGYQto5EY8o2n7y3qVQKibwZWiwxG1fjtpxWpSUwWm9+humJM2q0gMku6zBYgU5EuF1yRk1W0hO6FHUBAOxo3WF2RraCrIemGCXn2tEmrpUgfxFi1EEUMQjjql24nOFjiuJMluVki6UMzecdFy7XmpbAauenfCxgMhqmV0ScTfZ0Dxa4qG5Hl0BcjNa22WhnKQqQ9ZD10UBcK4ETEGLUQbAI45JzSVLqLk8p4zIIWwcjMWXHyZxha85pCaxyczV3LeA8bgpE/NgmvG0wTO8vi3+2jaNotEWV3cL0dfHPJsVo50BnAM51RjsXdaZ2TnIuca0E+YwQow6COFs0w7jqxvOZ+uKxCFurBSbPcLmWtISARWkJ7MbNnpaQOgmbOaNGnTi79ec03C/VZq2daIfpHRR6lmVZWY9wRnPD4loJ7IsQow6CxY5ExIXLFsJlEbYm4/rcLnjc2cP0NJ1RbWkJ9He60pOWQL1rga4+o5Xxz/kuRm0Xpk/MQ2+Y3q8S1XbYgcdkw3uCEwVWS6QFwWgQQNL5pYFTXWRy72leK4F9EWLUQbBoPk/Ola24hUXYOrklZ+ZfURbbkGpJSyhKiEWa42pJS2C1/WmutIQU7OaMGs4ZtWuYvkzf88i65SgQaqY7JyNQCtM7sYCJrKXIU4Rigz1Y00Gu1c7gTsRkuhtiWEVMjmFnW3wjCLI+gbMRYtRBsAyXZ3NGixJOIYv0AOJCph1XCVvTawKvjJs1LYHdeuPnz54zSnNcdVpCXhYwGc61TKwj3ALYYZcfo2F6b1G8wbz6HFZCKUxP3DAnOaOsnL5OgU4A4gKuLlhH9dxWUR+sR1SOv86R9QmcjRCjDoKJM6qhByVLZzRb6DhZ0EPPDdA1Lue0BJbXGTDQ2slOYWHd4W2VA2mHUL3RFlWSZK9dmJSm95WmTkPC9A2hBsdsCUqcUdpOn9flRYU//ndZ2+oM8U6uVYW/Al6X1+LZCHggxKiDYJkz6s8mRhmErYnQyxQqBxitVxk3t/hmc53tl5aQQkpYuInaPAwhy8bD9G4v4CmKf20HR5EIYr1hesBeuzAZdXjbUe4vh1uK/747xR1lWZBDzumUgi+RL1p4CDHqIIiYCEYo5jImXMdsrhkRbkGKDmUwomdcurmb8XEz/2kkrzPF9eq4zuGojGiMjitJxvV7XBnTElLwFgEJkYCgxWI03ALEEikaRsSPnSrqFRFnILxtp/ZORgux2uGSXMnCHIcILLIOFgLLaWkNopK+8BBi1EEQV42qSIokxUrGcVmI4EhuZ5TterOIQq9F61X9LERpzVrWm4IkqYp/LA5vExEpuQFfif7n22X3oljMnIizU3snMw5vO5wmsEgInUVBjtMKvoQzWngIMeog2DiUWkRSYlwGTmG29AA2DmXucDkTh1KH6I8fT0cIa7m/HSCCyWoxqt61SIur2x67rCPUBCDxe2TE4bVTzqgiRs05o4DzBJZwRrXDKr9WYF+EGHUQASaOXe7wcYChQxnIIpLInJisN4tTqA7h03Yos11nj9sFj0tKOZ7HuB1QHEWLxY/R3ZcIxL2zOkxPRLXLC3j8+p9vlw4HkRAQaYt/LZzRDijbW7JwRkXOqCDPEWLUQRDHro2iM0qKZbQ4ozQLa9o0FE6ROdF0KNs0OKM+VbU7rTVruc7qn/MeN3USNgvTG20jZJcwfZtZh9cmYXr17wMFMaoILKc4o63s8iDJlplOq6YXzmjhIMSog2CTu6knh5J3rmpyTvTC1rnHZelQ5srd9HvppkQo42YR3x0nYRcxWhf/bFSM2qXwx2wFul3C9GQd3hLApcNpz4Cy57pD3D5RTa8dlikNAnsixKiDYJu7mTuXMRqTEYnSEkm5HTufOoeSkhusWRRSFv5aclVTxqW13rC29aZOwiZi1GhbJ4JdtgQ1W/Rjl9ZOFIuXAGdtCRqOhtEYil8flgVMTrhWgCqlQVTTFwxCjDoINrmbuUWhOt+QZy6j2yXB66btUGoLWwcYOZTZclXV87K0gMkuYtR0zqhdwvQmdy2yjcNLV4w6ac914vR5JA/KfHSujxonXSuAbUqDwJ4IMeogiLsVjckIU3Moc4tCK3MoA5TzVbX0+1TPi/p6czijzESwoQImmzhxRnta2qXPKK0wvdVvDij1GCWQMD3ZozyfIWvoFOgEl0T/3y4RbW3RNrSEW6ifnyct4Ra0ReOFcOR3QOB8hBh1EGohQ0usaBGFLpekCFL+OZR0x23T6BQyy93kXMAUNFTAZBfxk2i67ys19nzF4bXaGSVi1KBj5k+s3+odsSg7o5388T3Ja4O1kO2w9awJiBitNLlNaiaKPEXwuXzxsYL5Ld7J/L0uL4o9xRbPRsALx4nR+fPno2/fvggEAhg1ahRWrFiR8dinnnoKkiSlfAQCgZRjZFnG3Llz0aNHDxQVFWHcuHH45ZdfWC/DEGqHktauRPpzKCnnMubMoaTb3kn7uJRzNzVfZ2tEcOok7NISyaT4sY2oNuko2sapJmkTlMRoIC5GI7EImsIWC22T1AYTrYr8bJw+SZKU65XvTrLaRda0K5zAEThKjC5YsACzZ8/GNddcg6+++gp77bUXJkyYgK1bt2Z8Tnl5OTZv3qx8/Pbbbyk/v+2223DvvffioYcewvLly1FSUoIJEyagra2N9XJ0w9ahzOUUWpPLSF0EW1XApNmRpT2uAwqYDBf+OCVMb5f7Qa/hPRB3+4o8RQCcJbBY4ZS+rORaiUr6wsJRYvSuu+7CzJkzMWPGDAwdOhQPPfQQiouL8cQTT2R8jiRJqK6uVj66d++u/EyWZdxzzz246qqrcPTRR2PPPffEM888g02bNuGNN97gsCL90A5ba6/yprv7k9ZcRh91h9KiML3OXFV61fTa7m/qJGwifkhY2rQzmudhepKmEGwCrAxnUw7TA8lQfd6HnjmIUXLuumAdszF4QO41ufeCwsAxYjQUCmHlypUYN26c8pjL5cK4ceOwbNmyjM9rampCnz590Lt3bxx99NH4/vvvlZ+tW7cONTU1KeesqKjAqFGjsp4zGAyioaEh5YMXtBvQa67y9lrTjJ2IN+rr5VzAZJkINlTAZBMxSi1Mb7UzajZMn1h/LAxEgnTmZAQWYtQpoecgPzGa99eKg3AX2A/HiNHt27cjGo2mOJsA0L17d9TU1KR9zqBBg/DEE0/gzTffxHPPPYdYLIb9998ff/zxBwAoz9NzTgC4+eabUVFRoXz07t3bzNJ0QTtsrbXKm10uI+9cVa3pAWycUa25qtbuwGSzXEuzYfpgo8WOoskwvbqAy8p7IsRoRpTQM6OcUUBV8JXnYXqxFWhh4hgxaoTRo0dj6tSpGD58OA4++GC89tprqKqqwsMPP2zqvHPmzEF9fb3y8fvvv1OacW6UMD0lsRKyShRqzlWlXMCkcUci2tc5rwqYAnZxFClV08sxayvRzfZLdbmS1yBkBzFKJ2cUcI7AYl1NDzhHuJM0g0p/paXzEPDFMWK0a9eucLvd2LJlS8rjW7ZsQXV1taZzeL1e7L333lizZg0AKM/Te06/34/y8vKUD14ELBIrAdqFNQmRpzmHkrZDmUMU0r/OZL1aC7ZsUsCUzzmK3mJASqzbyiImGv057ZA6YbagLA1OEVg83D6nXSsRpi8sHCNGfT4fRowYgcWLFyuPxWIxLF68GKNHj9Z0jmg0im+//RY9evQAAPTr1w/V1dUp52xoaMDy5cs1n5M3tHM3lVxGjWH6NtqtjjiHrfVWtdNab5tGEZx0ZCkXbBkpYJKjgFUNtmOxpAto1ImTpORarHRGaYS37SBG20ymG6RBEVj5XsDEoSiHpACQNlL5iqimL0w8Vk+AJrNnz8a0adMwcuRI7LvvvrjnnnvQ3NyMGTNmAACmTp2KXr164eabbwYAXH/99dhvv/0wcOBA1NXV4fbbb8dvv/2Gs846C0C80v7iiy/GDTfcgN122w39+vXD1VdfjZ49e2Ly5MlWLTMrrJxC7ttU6ixg4l3QY1VrJ+qOrMb7m4K3GJBc8fB2sBHwlVCZiy7Czcmv/QbD9EBcxLXV2SPX0mi6gfq5wTwX1e0ggiSf3b5ILIKGhGvMpZq+rY7ZGDwQBUyFiaPE6EknnYRt27Zh7ty5qKmpwfDhw7Fw4UKlAGnDhg1wuZL/7Hfu3ImZM2eipqYGnTp1wogRI/DZZ59h6NChyjGXX345mpubcfbZZ6Ourg5jxozBwoULOzTHtwu0cwrbtDqjRBRybwJP1ynUWtDDLHdTY64qtQImI84ocRTb6uMCpExbGgxViPBxeQCPib9Fqx3FaBiIBlPnYgSr16Eem0VrpzwWo/XBesiQIUFimgfplDA9j84DAvvhKDEKALNmzcKsWbPS/mzp0qUp39999924++67s55PkiRcf/31uP7662lNkSk0Hbv4Hvdy4rw2LWCivQOTVU3vtYbpWVXx6ylgAuKh2LZ664qY1MLHzC4tPou30lSLRypi1Aa5ryxyRvM4TE/EYYW/Am6XjgiEToiL3BhuRDgahtftZTYWK8KxMBoT6TcsOw8I7IdjckYFcQIUHcqQSvBwL2BSCnr47k2v1aGkeZ3j4+ZRARNgvROnVNKbFD5+i8PbRAS7/YAZ8WB17ms0DERaU+dCASJG87manghp1tXhZb4yuBMFefkq3kmKgUtyoZxi7rHA/ggx6jCUgh4KYkUteLQ6lDQKelIdWc4FTJrD9OQ6cy5gou5AG+gzCljfa5RW5bblopqSm2iXdQBMCphaI61oi9hvC2Yt8Oqb6ZJcqPBXAMjfUD25VpX+SrgkIU8KCXG3HQbNamsieDwuCR43P8cuRQRrdSh5FzBR7zOqs2CLeteCfHNGKYk44qxa1Z+TOLJmirAA+9wPbzHgppf9VeYtg8cVP1++bnNJ3D4eOZBKwVeeOqNiK9DCRYhRh0Ezp1DP7jw0x1ULLZ5OYSQaQySm1ZG1dscpGs43YHAHJiApfqzqzxmiJeKsDtOTSnqzotridTDoMQrEc/bzvfE9abXEQ4zmexETT+EusBdCjDoMmrmbelyzAANH1uuW4HZlL05RRCEFhzIY0S6C6efIEkfWmq4FucbtOBGbOHGmnVEi4qxeBy1n1AYFZZTJd4GltCri4PblvXAXDe8LFiFGHQbN3E09ldY0HbukW5dbBNPM3VSLUR/HHNlwNIZoTG/XAr5V/B0nYrX4oZwzalk1PXF4za7D6hxeCr1SM5DvRUw83b58F+4kFUOE6QsPIUYdBovcTU1ilKJjp2e/dJq5m2S92hxZeukBKY6s5mp68+PKsmyigMkmIo5aNb1FIo5cP7Mizm+TFlUMnFFShV4frKd+bh7wqqZXj5Gv+bVERFcGKq2diIA7Qow6DBYiKVcxT+q4fEUwzR2J9OxGRHW9KiHty1EoRrNgKxKTkTBk9RcwWZ6jSLuAyWpnNM8LmEKUHN40EIGVr0U5itvH0RnNVzEqnNHCRYhRh0HTobSsgElHrirNPqN6diNi4QT73C64NDqyNFpZqc+h2xklW4DmuxNntTNK0g1MO7xW5/ASh5f+1rBEYOWrM8pTYOW7M0rmLZzRwkOIUYfBpIBJg1MYoCgK9eWq0tuBSU/+JNX1amy0Hz+GvugHTITpLXfiaDmKFje9p+XwWr0OBjmjijOar3mQiZxR0gOUJYoYzdP96RUxyiGlQWAvhBh1GMnqchpiRYdTSLGqXXFk9aQH8M5VZbFeHekBoUgMsiybGldxZD0uSHq31LTLNpq0qukdE6ZvAEz+XhiCVleANORzzmhrpBVt0Xizfh5heuIo5mtKA8/OAwJ7IcSow6Cby2igkIimU6hrXHq5qrkq6QE2ubl6uhbQGFvrblPpJ2J1ziippje5249dnFHTBUxElMtAqNncuYwQolRQlgYiTPJRYBEB7XF5UOwpZj6eWribfbNqBeR68XCRBfZCiFGHYVnupuJQWlTARLGVlZ6CrVA0hljMpEMZ1u5Aq+dmWozqKFDrgF0cRbMiTllHo8WOokkR5y0CyPaJVtwTWg5vGioCcWGSj3mQaqdPd/TBAES4B6NBtEZamY9HE94ussBeCDHqMGjmMuopYKJZ5a2rip9FAZOO9QJxQWoGZb0awvQelwRS42RW+BvefQmw3lGkvae7HAPCLebOZQRa65Aka/N4GeaMEoFV11aXd24fEdC8nL4iTxG8Li+A/Etr4O0iC+yFEKMOg8WORHpyGekUMOmv4qfjUOp3gtXPMzyujgImSZKoud960gM6oHZG89lR9JUAIOreAmFNU8Qpje8t2IiAoTNKQs+hWCjv3D6ebZ2A1O1T8y2tgbeLLLAXQow6DCJo6OxIpF8UUmk5ZEAEA3zFmcftUhrjm911Sq9DSStPVs+bjY6TIKJD5u8oRiMAESU0HEUrUw5oijgre78yzBkt8hTB5/IByL9QvdLEnWN1OCliyreKemVzANHWqSARYtRhUM3dDGt37Mi4kZiMiNmwtYFxARriTKcopFTJr1cUJnuNUipg0rsvPQB4i5M5irzFj1o0UnEULdzalObORVbuwkSr1VYaJEnK2ypxEnrmKkbztNeoFddKYB+EGHUYLAqYNO1IpBI05nMotYtCj9sFT8Kh5F3QQ6tzgV4RTCs/V8/97YCVjiKpFnd5AY/P/Pms6gwQiwHhxFpoOIrKRgQWVNPTKijLgFIl3pZfeZA8twIl5OuOVVa4yAL7IMSowyAFTDQcyjYdzpna1aPlFOoWhSbH1RsupyYKdVTxA/Tcbz33Ny0+i3Yvou3CWSaqVeNRDdNbWMDEwBkF8re9EwmVC2c0N6LhfWEjxKjDSBGF1HIoc4skt0uC121VDqWbyrjGw+Um16s7PcAGBUyAdVuC0nbhrHJGyXWT3IAnYP58VonqWIxpNT2gyoPMU4HFs1VRvuaMCjFa2Agx6jB8VAt6DIoki3IoTY+rI1c1Pi5dZ1T7uDYoYAKsF3HUxKhFVejqfFEa1cNKzijnMH1YNR7jMH2+ilGeAktphZVv1yohnkWP0cJEiFGHoXYo6YkVvSKJr2NnVe6mVVXttHqr6l1vB6wOb+d7mF6ppKdUgW5VNT0ZT3LFm+8zIF/3p7dCjJKepnknRoUzWtAIMepAaO1KpDeXMZlDaVKcJcLe+sflm6tK7TpHyHo15qpadH87YFWTdSVMX0LnfJY5vInrRstNVO8mxRN1WydG/SGJW5ZvjdwVgcWxXRG5VkKMCvIJIUYdiFXOWf47ozrHpXadjTqjfNfbAaudUdoijruoJmF6yrmvvMP0tNeRBuL25VMBU1ukTWnSb0k1fZ65yFZ0HhDYByFGHQitBvRtOnYkApL5qubH1VflnVwvrWp6zgVMegu2aK/XaDW91TmjtMLb5Dy8HUWnhOkZFy8BqVuC5gvE6fNIHpR62V2b9uRrfq3SZ1Q0vS9IhBh1IPQcyrhY8bn1VbXTKmDSPi5dp9BnUVW79nEpr9dtMExvda4ltTA9EaOcHcUQ5XVY3d2AoTOajwJLvS89z+0tybUKRoN5s32qVS6ywD4IMepAiKgJmRRJpHm9ZocyIR7NNr0n89bsyLoprVdnWgK166wzTE99XMPOqEU5o0Q0UgvTJ0ScZY4ibYfXec4oCdPnU86oVTmQJd4SeCQPgPy5Xla5yAL7IMSoA/HRcs7C+hxKauPqdGR9lHNVtTqUZH68HdnkuHyd744TsSpnlHKOos+iXEsyHu11cK+mp7ilaQaIGG2LtqEt0sZsHJoQIUjmzgtJkvJOvJN5lvvLubrIAvsgxKgD8VN2RrVWedMeV2/fTXoOpb70AN6OLK3CKfPOqMWthPK9Cp12uoFVYXoOzmiptzTv3D6rxKh6zHxJa7DyWgnsgRCjDkQJ41IKl2vNKaQdPubtjIaMOpS0rrPmceP3w/T9jeq7zh0nYvHe9LR3YLIsZzTP18EhZ1SSJJQnNifIF4FlZauifMuxFW2dBEKMOhDqOyHp3hmIVr9Pq7bH1NliidqOUzqdUWo7TpksYMr7vemtzhmltQ5VzmjM3O+GLmgXYmWACJV8cUatFFj5FqZXF3sJChPHidH58+ejb9++CAQCGDVqFFasWJHx2EcffRQHHnggOnXqhE6dOmHcuHEdjp8+fTokSUr5mDhxIutlmIKGYxeJxhCNySnnyzkubYfSIkdWcwETLYfSoCNruTPqt6qanlWz+HzPGVWJwTDHtSj3g13OKJB/bp+Voed8vVbCGS1cHCVGFyxYgNmzZ+Oaa67BV199hb322gsTJkzA1q1b0x6/dOlSnHzyyViyZAmWLVuG3r17Y/z48di4cWPKcRMnTsTmzZuVjxdffJHHcgyTdM6MF9aohY5WZ5R2IRH/vdoN5m5Sc0b1OrKU1ms0Z9RqEUdbjIab+TqKtHNGvUXxLTkBvveEtqjOgAjTayffxKgI0wscJUbvuusuzJw5EzNmzMDQoUPx0EMPobi4GE888UTa459//nmcf/75GD58OAYPHozHHnsMsVgMixcvTjnO7/ejurpa+ejUqROP5RiGhnOmdhk19/tMiCkzDmU0Jht2ZKnlqvJ2KHU7spTHNeuMWtb0nnKuJcDXUaTd2kmSkufieU84FDABSaHSEGpgOg4trHT78i1MLwqYBI4Ro6FQCCtXrsS4ceOUx1wuF8aNG4dly5ZpOkdLSwvC4TA6d+6c8vjSpUvRrVs3DBo0COeddx527NiR9TzBYBANDQ0pHzyhIc7Ic10S4OEoClNEMO9+n1GdYlQZ15xDaXxcvuK740QSwiffHUVPwFpHkWaupVJRzzGPl0MBE6By+/JkFyZ1uyLeCDEqyDccI0a3b9+OaDSK7t27pzzevXt31NTUaDrHFVdcgZ49e6YI2okTJ+KZZ57B4sWLceutt+K///0vDjvsMESjmQXIzTffjIqKCuWjd+/exhZlEBoFPXpDx/FjzYfL1c/Vuz2mmfXGYjLCUTnlfLnHpZSWYHA7UN4FWx0nohIfvPJGY7Gke+kUR5GmiLOioj5EOYc3A/nWrkiE6bUjwvQCj9UTsAu33HILXnrpJSxduhSBQEB5fMqUKcrXw4YNw5577okBAwZg6dKlGDt2bNpzzZkzB7Nnz1a+b2ho4CpIaThnehux0xrXMkc2mj+OLO2+qoadUeIoyrG4+AlwcIDUYXTajmKwnm8xFktnlKuoppzDm4F8qqaPyTElnUCE6XMjxKjAMc5o165d4Xa7sWXLlpTHt2zZgurq6qzPveOOO3DLLbfg/fffx5577pn12P79+6Nr165Ys2ZNxmP8fj/Ky8tTPnhC06HU6tYBdHYGssyRVRUh5Y8jS2fnJz33OAW1o8jLiSMiS3LFC3ZowbthfCzGJtfSit6vnAqY8skZbQw1IibH/76EM5obEaYXOEaM+nw+jBgxIqX4iBQjjR49OuPzbrvtNsybNw8LFy7EyJEjc47zxx9/YMeOHejRoweVebOApkOpxzUj/Sp5O7KKU2iioCeYSLuQJMDj0rYdHQ2H0lJH1qwzCvDPUQypQvQ0tw3kHd4OtyS/pilGrdifnnYObwbySWCRORZ7iuF1e7mPry72IqLYrsTkGOpDorVToeMYMQoAs2fPxqOPPoqnn34aq1evxnnnnYfm5mbMmDEDADB16lTMmTNHOf7WW2/F1VdfjSeeeAJ9+/ZFTU0Nampq0NQUf3FtamrCZZddhs8//xzr16/H4sWLcfTRR2PgwIGYMGGCJWvUAhWRZEQUUqzi15Ue4Ka4XrdL897INNMhyNi8xpVlWXd6QPrJEDHKScQp+YmUhQ/vBv4hxg4vrzB9Sg4vH2c0H6rpre6bScaNyTE08t7mVidN4SZLXWSBPXBUzuhJJ52Ebdu2Ye7cuaipqcHw4cOxcOFCpahpw4YNcLmS/3gffPBBhEIhHH/88Snnueaaa3DttdfC7Xbjm2++wdNPP426ujr07NkT48ePx7x58+D3+7muTQ80CmsMhcu91qQH0Nir3UjImmY6hCQBXrdWR5ZegVr8fCbEKG9HkVXlNu+eqeo8S5oOL+8wPSuHNw3qnFFZljW/abQCq3cU8rq9KPYUoyXSgvpgva3D3/VtceFe5CmCz+2zeDYCq3CUGAWAWbNmYdasWWl/tnTp0pTv169fn/VcRUVFeO+99yjNjB9WhempOpS6xjWfHpAcV7v4pnqdOTuyRtID0k/GIkeRtvDhnTMaZOTw+i26H5DoOrxpIIIqKkfRGG5EuY9/yySt2CEHssJfgZZIC+qCddgVu1o2j1xYLdwF9sBRYXpBHLqtnfRX01vnyPJ2Rq25zlSc77D+9IC0cA/TM6hAB/g7vKwq0J3i8KbB7/ajyBMXvMRNsyt2qA7PlxxbO1wrgfUIMepA6DhnBsLlFHZgstqRNSK+LXNkozHIsmxsXFW+qKlwJ2/xQxw/P6UeowTe4W1Wopr7Ovg0vCfkS0W9Hdy+fGnvZIdrJbAeJmK0rq4Ojz32GObMmYPa2loAwFdffdVhz3cBG2i2OrLOGTWSM2o+d9NIFb9VzqiZsfU22s8I7/A2szA9561NQ4xENe8tWjlV0hPyxe2zuoBJPba4VoJ8gHrO6DfffINx48ahoqIC69evx8yZM9G5c2e89tpr2LBhA5555hnaQwraQUMUGqm0ptPqyJr+pqac0YRDacRhNDMuGTvg1b+DErm/5sWoUxxFh6QbOOV+ZCBfnFG75IwCeXCtEm2dKnzCGS1kqDujs2fPxvTp0/HLL7+k7GR0+OGH46OPPqI9nCANPpotlnTkE1IRwSbG5Z4e0E4UchtXdW2MrtnIdU4L91xLRmFhP2cRF2Ts8PK+H7S2Zs0BESx2b+9khzzIvAnTt9UBEGH6Qoe6GP3iiy9wzjnndHi8V69emveIF5iDNJ9XF6noxUghkY9GegAZ12uskMhoDqWZnZ/Uz9c/rn4nWJIk08I/eZ0N7ktP4N3XknnhT547itwdXmvC9HYXWHZwRpXG90F7C3fR8F4AMBCjfr8fDQ0df/l//vlnVFVV0R5OkAYazqipnZAsckYBKFtrGh7XKodSZ7jcb7Joi5ozyr0lEiPx45ScUe45vNaE6e0uRolza4cwPRF7doWIZeGMFjbUxeikSZNw/fXXIxwOA4i7OBs2bMAVV1yB4447jvZwgjQoBT1hznvTq9w66xxKY2u23KHUsV7AfNGWsl4dDnRaeO9N7xhH0Sk5o6KaPh12CNPnSwGTHa6VwHqoi9E777wTTU1N6NatG1pbW3HwwQdj4MCBKCsrw4033kh7OEEaqOaMGmjtBBh3KI04sjQcSiPjAhQdSp3jmm1nlbfOKKscRafkjKpzeA2+IdQFq3VkIB/cvnAsjObEFqlWFuWQTQHs7iLbIaVBYD3Uq+krKiqwaNEifPLJJ/jmm2/Q1NSEffbZB+PGjaM9lCAD6nC52SpvI2F6IC6EjezsY2Rcl0uC1y0hHJWNFxJFjYkzn8cFBE2IYDPjgr/47jgR4SgaglWuJTlfLAJEQ4CH8bbFvMP0pIDJxnmQZG4SJJRxKuxKBxF3dr5WQPKNRbnfvjtqCdjDbDvQMWPGYMyYMaxOL8gCcShjMhCJyZr3PFdjqIBJJaiC4ShK/fp/vYyEy+PHuxGORgwXbSl9VXWGrc32dFX6feoe19zuT0b6m6afCAnT57uIs2jnIto5o17VdQk2cRSjfJzRykAlAHuHnonTV+Yrg9tlskDQBCTs3RhuRCQWgcdlv92/I7EIGhP50yJMX9hQ+e289957NR970UUX0RhSkIWUlkORGLwGQrGWOZRGw9bEoTTtjOr752HWoTTlyJoZl7YzmvfV9Il1RENAJAR4fHTP3x5WotrtATwBINIWH6OkC93zt4cUYnF2Ru0celb6Zlocdla7sg2hBnQOdLZwNukhQhRIphUIChMqYvTuu+9O+X7btm1oaWlBZWUlgPiOTMXFxejWrZsQoxzwpRT0xFBiwBwx6lD63C6Eo1HjDqXRgh7iUHJ3Rk06lFY5sgavcwesaiVEu2BGLW5DTYCH8T9ulo6irzQhRjncE87OKAnlNoYaEY1FLXUeM6H0zbS4ibvH5UGZtwyN4UbUBetsKUaJw13qLbWlcyvgB5UCpnXr1ikfN954I4YPH47Vq1ejtrYWtbW1WL16NfbZZx/MmzePxnCCHLhdEjyueGiee8uhRN9KS5xRJHdw0j1u4nncHUqTjqxREUzPGU2IkGgQiIbNnUsLrHIUiaMI8Ek5YLmNJs83CEq6Ad8CJhlyiqtmJxRnNGB9QY7d80ZF8ZKAQL2a/uqrr8Z9992HQYMGKY8NGjQId999N6666irawwkyQM85M1blbdwZNZozapUzajZn1Oy4fK9zB9o7iiyJhOJhdMABIo5hFTrPYizOe9N7XV6UJPJi7VpRrwgsG2xvafe+rHboxyqwB9TF6ObNmxGJRDo8Ho1GsWXLFtrDCTJAK6dQtxg161CadEaDVlTTw4RDaZUjS8sZ9fgAlzdxUsYiTi2uvCzEKMciJpaOIs92WyxFdQbs3j+TCD87FOTY/VqJHqMCAnUxOnbsWJxzzjn46quvlMdWrlyJ8847T7R34oh5kWQwTE9pXKOOrGXim3ef0USup+ViFOC3Pz05v9vHpsCIl6MYDcfTGgAHOLx8c0YB+/fPtFPomeTY2v5a2cBFFlgLdTH6xBNPoLq6GiNHjoTf74ff78e+++6L7t2747HHHqM9nCAD1AprdBa4mN6RKGxMFNJrdWSwcIpziyV641IoAOG1lSZr4cNLxKnPz8Lh5dnAn/Pe9ID9Q8/E7bODGCUiz+7OqOgxKqBevlZVVYV///vf+Pnnn/Hjjz8CAAYPHow//elPtIcSZIFaYQ1vp9CqcS12KK1yZE3njAL8wsK8xChzUZ04P3OHl7GojkbiVfvqMTlAQrp2FaN2ae0EJPuyktxMu2GnlAaBtTDrpfCnP/1JCFALodaMnbdjZ9CRNV+wZdF6TTuyfNebFl7ih3VPS+6imvE6WIvqsOp+c6qmB+y/JSipXLdD6NnufVmVa2UD4S6wFupi9Iwzzsj68yeeeIL2kII0WOdQmnQK884ZzdNxDV7n9JNxiojjJaoZF/3wSjcgYtflibu8nCDChfTztBt2KspRrpXNw/R2uFYCa6EuRnfu3JnyfTgcxnfffYe6ujoceuihtIcTZEAp6DFYXa7sXa6zyttPS5zlyV7tyevMt3uA3+T9NXqd08Kr8Id1T0vehVjMxCinLVrVbw4k/VsOG0Vx+2zqjNqpgMnu+bV2SmkQWAt1Mfr66693eCwWi+G8887DgAEDaA8nyABpPm96JySv0QImk+FjzjshhYyGy70W9VWldn/zqZqel6OY7w4vr0Iscj/Ksh9HGTsLrHA0jJZICwB7CCw7XysgOS+xFaiAejV92kFcLsyePbvDtqECdphxRmVZNuyc+U22WLLKkTXqjJp1KM07smavM41qek45iqwbrPNyeJmvg5eo5l9JD9i7gIk4fRKklL3hrUK5VjZ3kUWYXsBFjALA2rVr0zbDF7Ah6djpdyjVAke3Q0nGNVvQo9ORtWrHKbMOpWlHlvN60yIcRX04JWeU9f3IgJ3zIBWnz18Ol8Tt32tGSEpDc7gZ4RiH7Xp1EIlF0BSO/y3YwUUWWAv1MP3s2bNTvpdlGZs3b8a7776LadOm0R5OkAEzjp3aXdSdu2nCGTXjyJovJIqmnEfzuFY7o3Zoeq/kKAoRpwnWIs7POWeUYyU9YO/91u3m9JX5yiBBggwZ9cF6dC3qavWUFNTOtgjTC6iL0a+//jrle5fLhaqqKtx55505K+0F9DCTy6h2NQ07hQYcO1OOrFXN5y1yKM070DRbO/EWcazEKOdCLOHwGoKI0cZwIyKxCDwuZh0KdaM0vLdBWycAcLvcKPOVoSHUgIZgg73EaCJ1oMxXBreLQrqQIK+h/le8ZMkS2qcUGMCMY6d2JyWdVbJmHDtTjqwJZ1SWZeMtpUw7lEYdWToFW3RbO+W5o8hdxOX7OqwJ06tdtMZQIzoFOnEdPxvqML1dqPBXoCHUYLu8UTv1YxVYD/WklkMPPRR1dXUdHm9oaBCtnThiRpyZESrKuBalBwQNjBuJyZDl+Nd+nQU9Zrc/VUQw97QEmmKUl6PIq4CJk4jzMypw4b49K18x6nF5UOqNr9FuRUxkpyM75UDatfG9nVpgCayHuhhdunQpQqFQh8fb2trw8ccf0x5OkAEzrY7MFLco4XIT6QE+twsulz5H1kwhUUpaAseWUrIsG26xZK+96XlXbztkO1Ae1fTkXRYLgmRHLL5hesC+RUx2yxkFgIqAPa+VaHgvUEMtTP/NN98oX//www+oqalRvo9Go1i4cCF69epFazhBDsw4djScUSMOpalxrSrYMuFQ0nBkQwZzVdnsTc/LURQ5o1kh65CjQCQIeANsxrHIGQXiYnRj00bb7bmuuH02Cj3b3Rm1U0qDwDqoOaPDhw/H3nvvDUmScOihh2L48OHKx4gRI3DDDTdg7ty5tIbLyPz589G3b18EAgGMGjUKK1asyHr8K6+8gsGDByMQCGDYsGH497//nfJzWZYxd+5c9OjRA0VFRRg3bhx++eUXlkuggplWR2aKWxSn0IRDaWhcE62syHq9bkm/I2tC9JtzZG1UwMR956J8z7Xk5PACbNfCuqAsC3YVWMTts5PAsmvje2X3JRsJd4F1UBOj69atw9q1ayHLMlasWIF169YpHxs3bkRDQwPzavoFCxZg9uzZuOaaa/DVV19hr732woQJE7B169a0x3/22Wc4+eSTceaZZ+Lrr7/G5MmTMXnyZHz33XfKMbfddhvuvfdePPTQQ1i+fDlKSkowYcIEtLW1MV2LWfI5Z9QqZ9TI1phmHErLHNloDDE59TymcFqz+FgYiHRMNaIGa1HtcgOeosRYjWzGACxreg/kgcCyUR6k0grLri6yja6VwDqoidE+ffqgb9++iMViGDlyJPr06aN89OjRA24aO73k4K677sLMmTMxY8YMDB06FA899BCKi4vxxBNPpD3+n//8JyZOnIjLLrsMQ4YMwbx587DPPvvg/vvvBxB3Re+55x5cddVVOProo7HnnnvimWeewaZNm/DGG28wX48ZzIiVoMHK8tRxjbR2MlZZnjpu/olvj8u4I2toXNVz8quanrWjqDovS2HNI7zN455Y6YwSMWrTCnE75UHadccqO14rgXVQyRl96623cNhhh8Hr9eKtt97KeuykSZNoDNmBUCiElStXYs6cOcpjLpcL48aNw7Jly9I+Z9myZR2a9E+YMEERmuvWrUNNTQ3GjRun/LyiogKjRo3CsmXLMGXKlLTnDQaDCAaDyvcNDfzfkZoqYAobdwpNha1NjWu+YMuIMDNXsGVcfJtKhwgbd2TTQoRPNBR3FD0+8+dMB2sR5/YAngAQaYuL0eLObMZRHF6G20X6S4GW7WyLsWzgjNa11XEfOxt2zBklrbDsWsAknFEBQEmMTp48GTU1NejWrRsmT56c8ThJkhCNGiu4yMX27dsRjUbRvXv3lMe7d++OH3/8Me1zampq0h5Piq/I52zHpOPmm2/Gddddp3sNNDHlFEaNV1rTcGT15k+aHtdEZbkph9JEjqwpRzbxHLdLgoeKGG3nKHoYiLhIKB4+bz8ebXwlCTHK0lHkIOLINQrzcEYtEKM+ezqjdg7T280ZteO1ElgHlTB9LBZDt27dlK8zfbASonZjzpw5qK+vVz5+//137nMwVcCUKAIyIgppOKNmRGF+FmwZX280JiOiU5AmrzOlLB23F3D741+zEnHqsLljwtsc1sHDGWXVLzULdtwSNBwNozkh/u0ksOyeMyq2AhUADPqMWkXXrl3hdruxZcuWlMe3bNmC6urqtM+prq7Oejz5rOecAOD3+1FeXp7ywRsazpmZML0ZR5b7uBbljJpJD1A/R+/YZnJzM0+IsYgjwsftj4tfVrAuxoqGgWgihUeIasPYMQ+SOH0SJJSxTMHQiR2vFSByRgWpUAnT33vvvZqPveiii2gM2QGfz4cRI0Zg8eLFSqpALBbD4sWLMWvWrLTPGT16NBYvXoyLL75YeWzRokUYPXo0AKBfv36orq7G4sWLMXz4cADx/M/ly5fjvPPOY7IOWpjKZSTOmdeIYxd/jqFweZhCDiXnJv9EOBOHUk/Y20zOqFqwB8MxFOtI02yj7YwCcRHXWstQjDLuMUpgLqpV52WabsChw4HFfUYBe+VBEnFV7i+HS7KPz0NSGprCTQjHwvC6GL6Z00gkFkFjON7pwU4ussA6qIjRu+++W9NxkiQxE6MAMHv2bEybNg0jR47Evvvui3vuuQfNzc2YMWMGAGDq1Kno1asXbr75ZgDA//3f/+Hggw/GnXfeiSOOOAIvvfQSvvzySzzyyCPKfC+++GLccMMN2G233dCvXz9cffXV6NmzZ9bcWDtAo9raTKsjI+HyZK5q/lTTq1MZQjrFqJmcUY/bBbdLQjQmG3BGKW4FSmC9CxMv4cNLjLq87Aq9APZbm0Yj8dxa9VgcIX087ZQzate+mWqXtiHYgC5FXSycTWIeqpQBO7nIAuugIkbXrVtH4zSmOemkk7Bt2zbMnTsXNTU1GD58OBYuXKgUIG3YsAEuV/If8P77748XXngBV111Ff7+979jt912wxtvvIE99thDOebyyy9Hc3Mzzj77bNTV1WHMmDFYuHAhAgFGu5pQwuc27lBS6fdpUbg8EpMRjclw62iVlBzXQMGWSnyGIvocSrP7w/vcLrTGorqvtZm+qpknw1qMMm7rRFD2dWfUn5NXBTqvtAn1WBwhgq8x1IhoLAq3i33rwFzYtW+m2+VGma8MjaFG1IfqbSFGybUq85bB46K2EaQgj2H6WyAn9jqUJH09FM0wa9asjGH5pUuXdnjshBNOwAknnJDxfJIk4frrr8f1119Pa4pcUHYkMhS2NlHQY2pc8wU9QFxsFfm0n8NMmF7tUOpds5lxgfi1bg1HdbvQVPelJ7AWP6wb3hNYO4q8in54OdUuD+Bm6PBmQC34GkONqAxUcp9De+zcqqjSX4nGUKNtCr7sKtwF1sEkseXxxx/HHnvsgUAggEAggD322AOPPfYYi6EEGaDhUJrJoYzEZMTINj86xzVd0KPbKTRX0GP0WptxZNXj6hXBZh3ZtBBxJcL02eG2DsY5o+qG9xzNBoLH5UGpN75Gu+SN2llgESdZXCuBXaHujM6dOxd33XUXLrzwQqUQaNmyZbjkkkuwYcOGvHMY85WkQ2mk1ZGZPeKTwioUjSGgI3xmxpH1uCS4JCAmk/NoT9I361D6PMShNOaMGg2XG3Whqe5LT+AVFmYepndI7qufk8NrQb4oocJfgaZwk23yRu3Y8J5gt16joseooD3UxeiDDz6IRx99FCeffLLy2KRJk7DnnnviwgsvFGKUE0TghKNxh1LPdpM0ckaBeJV3QEdFvhlHVpIk+DwutIVjhp1Cw+Fyg0VbxJE10s8VoOHI5pMY5bT1JPMwvXB4aVHuK8dGbLSNwCJFOXYUWErBl02ulZ2Fu8AaqIfpw+EwRo4c2eHxESNGIBKJ0B5OkAFTfShNiBWvOyl6gzo3OaBR0AMY6btpzqE0WsmvdA8wPK6xIjWz4jv9ZEiTdacU/jByRsn18XJaB6um9xZuBUqwW/9Mu+eMAvYJ05N5EJEsEFAXo6effjoefPDBDo8/8sgjOPXUU2kPJ8iAujjFeGGN/lxGSZIM9zg1X9BjbDckZVwDfVUB47tOJfu5mnVk+d3fjAhHURvc+qXyyhm1TozaLvRs4zxIu+3CRK6VaHgvIDCppn/88cfx/vvvY7/99gMALF++HBs2bMDUqVMxe/Zs5bi77rqLxfACpDqUep0zMzsDkecFIzGujixgwhk1mbtp2KG0ypFlEqZ3SBU6t0KsfE83sG4rUIIiRkXOaE7InOwi3ElVvx2Fu8AaqIvR7777Dvvssw8AYO3atQDiW3V27doV3333nXIcz3ZPhQhxKIORmIHWP+YKXPweNxoRMS6CzRb0hPmu16goNCv6jeaq5mcBE2dnlFl4uzF1HFY45X5kQdmFqa3OsjmosbPbZ7cdq8g87HitBNZAXYwuWbKE9ikFBlEcSs7OmenwscFwuVFnlJ4oNJq7aS49wF7OKKtcS6c0i+ftjDo4TO+zmTNq4wpx26U02PhaCazBPhvoCqhjdL92szmFRkWSsle7YWfUZM6oSTEa0lmwZWZv+vi4Zu9vPjmjnHdgyvucUVUhlqyv368mbNLaCbCHwApHw2gOx++tHQWWXXNGy32igEkQh7oz2tbWhvvuuw9LlizB1q1bEYul/qP86quvaA8pyIBVzpnR/ekVp9BoQY/ZnFGT4pu3CLYqPSD9ZHj15+QlRhl1BeDl8BKxK8fie8h7i+ien9c6smCnanri9EmQbLnXut2q6e2c0iCwBupi9Mwzz8T777+P448/Hvvuu6/IDbUQRazkWaujfCvoMXydLW9lJarpO6B2eGWZ/u5CvBxFb7FqzGb6YtQOYXobOaOkIKfcXw6XZL+AI0lpaA43IxwLw+vSvikIbcKxMJrC8b8DO7rIAmugLkbfeecd/Pvf/8YBBxxA+9QCnRh37Mw1Yzccpg/nZ0GP0ebzpnNVjRZsmWwplX4yDslRJOuIRYBoCPD46Z6fl8PrcscFabglfk9KutI9vwjTp6D0GLVhJT0AlPnKIEGCDBkNwQZ0Kepi2VwaVVEHEaYXEKi/hevVqxfKyuwXpihEfAZzGc23OjJY0EOawBvdq90iZ9Ro7qbZAiZlb3rOznf6ybDOGSVV6KwdRZXYZVFRz7NZPMvOALxEdRaIGG0MNyISs3ZDFbuHnd0ut5I+YLV4J8K9zFcGt47togXOhroYvfPOO3HFFVfgt99+o31qgU7M5jIGDDujxvpumi/oMdsEnq/4Nr1er8H7GzbnfKeFCJ9oCIiE6J0XiIfLeTmjbg/gCcS/ZuHy8hRxLN8g2CBMr3bVrC7MyYcdhezSl1XpMWpTF1lgDdTF6MiRI9HW1ob+/fujrKwMnTt3TvkQ8MN0LqPBnELFsTNawMRZFNJrZcV5vYn7wzsnOP1kVOKKtoiLhuJhc4B9FTrANv9VaRbPYx0MG/jbYDtQj8uDMq893D4770tPsEvje7u7yAJroJ4zevLJJ2Pjxo246aab0L17d1HAZCFJUWhVNT3fPdNN7xFv0bimC6fs0GfU7QXcfiAajIu4YopvPNWikPWe7kBcYLVsZyPieFahM3VGrd+BCYg7kY3hRiGwNFARsEfjeyW/1sbCXcAf6mL0s88+w7Jly7DXXnvRPrVAJ0ZyGaMxGZGYnHi+2b6bvJvPG+y7SQp6OOeqKuMa7atqp73pgbj4aQ3SF3HBRL6oJxAPo7OGVcP4SAiIhRNj8BSjeS6qs1Dpr8TGpo2Wi1G7FzAB9nNGhRgVqKEeph88eDBaW1tpn1ZgACMiSX2saWdUZy6j6YIeixxKwwVMxJE1mLuZXC/f9ICM+BmFt3nnJzJbh0oUOiZn1LoCJsA+eZBKE/d8yBm1WoyK3ZcEaaAuRm+55RZceumlWLp0KXbs2IGGhoaUDwE/jOQyqo81szc9oM8ZVTuy3Fs7hS3am560sjKYm2vcGWWwNz2QFCZByg3jeQsfVlXoRIy6/fG0Btb4GeWMRsPxdAzAcmfUNm5fyP5hertsEiCcUUE6qMe8Jk6cCAAYO3ZsyuOyLEOSJER1thkSGMeMM+qSAI/Z1k46nFH1HPMtd9NwARM1Z9QGOaMAu8If3j0tWYW3eTu8rJxR3g5vFoigsToPMh8Elt1cZDsLdwF/qIvRJUuWZPzZt99+S3s4QRaMFBLR2CrSSH9TtZAzuyORnvXGYjLCUTnl+brHNeyMRk2NazZnlL4YZSx+uIk44igySjfgUUkPMHR4E+tw+wCPj+65dWKb0DMRozbOGSWtsOxyrUTDe4Ea6mL04IMPTvm+sbERL774Ih577DGsXLkSs2bNoj2kIANG+n3SKG4xsgMTOVaSAI/LWAcGv1f/etWpBOT5usc1u+2q2XQIzs32M6KIUVZhet6OIqNCrHx3eG1SvATYJ/RMnFk7u33iWgnsDLNNdD/66CNMmzYNPXr0wB133IFDDz0Un3/+OavhBGkwE6Y345oZcezUjeeNtgPzG9irXT1H0w6ljrQEtSPLPS2BlTPqZ+Uo8nZGWTm8vEU164Iy63fas4MzGoqG0BqJF+2KAqbc5ENPVgF/qDqjNTU1eOqpp/D444+joaEBJ554IoLBIN544w0MHTqU5lACDZgpYDJT3GLEGVVCxyYasSs7EhlYryQBXrcxEWxkcwH1sdwLtlhV07MOC/Pqaeln1NqJeyEWKzFKHF7rnVE75EESceWSXMqWm3bEDtcKyI/8WgF/qP03OuqoozBo0CB88803uOeee7Bp0ybcd999tE4vMICZcDmNnFE9zqgSOjYYKgeSQtbQet0mHFnS2kmHM6q+NjxbWcmybDo9IPOEGIkfIm69xXTPmwmlKwBtMcpZxLEuxOKV+5oFO7h9dW11AOJ7rbskZsFG05CweHO4GeFo2JI5hGNhNIXjv492zq8V8IeaM/qf//wHF110Ec477zzstttutE4rMIG5cLmZnFEjuarminkAtTNqLD3AKEacUbWbadSRNdLfNFUEsxKjjHJGeRf+MAtv83ZGnZszSgSNldX0+ZIDWeothQQJMmTUh+rRtagr9zmQNw0SJFu7yAL+UPtv9Mknn6CxsREjRozAqFGjcP/992P79u20Ti8wgFU5o2bGNSUK3QYKmJT1WuTImsiRNXSdKaQHZIRZs3jiKHL658U615KXqPazcng5t9rKgh3cvnwJO7tdbiWnlbi5vFFvDuB2US6gFOQ11P4b7bfffnj00UexefNmnHPOOXjppZfQs2dPxGIxLFq0CI2NlN0SQU7M5DIa3aISULdY0p7LSCN0bJUINpKrSkV8E+dbz/2lULCVeUKMckbJ+bg5o6xzRnkXMDlXjJb5yiAh/mbOqlzIfHFGgeQcrXKS8+laCfhCPcGlpKQEZ5xxBj755BN8++23uPTSS3HLLbegW7dumDRpEu3hBFkwlsuYKGAy2Ihd/Vxd4eMwBVFosorfKEb6m9IYV50TLMuyrnHNOLIZYV69nee5lpa1dspzhzcLarfPqrzRfBJYVufYkmtldxdZwB+m2daDBg3Cbbfdhj/++AMvvvgiy6EEaVBEkgHnzIxrZihsTRxZM+FyE4VTplpZefXnbtLo9ames1b3WxmXtisKOMeJY5ZuwDlnVL0daExf+6+s8H5zkAOr3b582mtd6TVqkYvcEEy0dRLFS4J2cCn9c7vdmDx5Mt566y0ewwkSKA5lWE+rI3NbVMafa6SwJlHARMUZ5dvKSi2+jTiURlHPWeu1puF8Z54Qq4KZhKPIq7WTYxxelegNU1xLkHMObw6s3hI0n7a3tFq455OLLOCLfftQ6KS2thannnoqysvLUVlZiTPPPBNNTZn/KdbW1uLCCy/EoEGDUFRUhF133RUXXXQR6utT3zFKktTh46WXXmK9HCr4DDSBp+qMGhnXopxRGuMCUBrZax6XwnVWn4/HuJkn5JQqdFWYXuObC03wbt7vLQJIqyGa98Rmzihx2SwLPSeKgfLB7SNbcFotRvPBRRbwhfp2oFZx6qmnYvPmzVi0aBHC4TBmzJiBs88+Gy+88ELa4zdt2oRNmzbhjjvuwNChQ/Hbb7/h3HPPxaZNm/Cvf/0r5dgnn3wSEydOVL6vrKxkuRRqKGFrA/0vqfQZNeLIUupvKsuyppxI+g5lVNO5aDiUkiTB53YhFI3pcEYZ9RgFGPbn5L0DU2IdcgwItwI+Sv1NyTp4ObySFF9LsCF+T2gNG+JcUJYDq7e5VARWwP4Cy+prlU8usoAvjhCjq1evxsKFC/HFF19g5MiRAID77rsPhx9+OO644w707Nmzw3P22GMPvPrqq8r3AwYMwI033ojTTjsNkUgEHk/y0lRWVqK6upr9Qiij9Ps0sD0mlb3pOTuj6jmHozJ8ntxilErupoUOpd8TF6N6x6W+Lz2QmjMqy3ExRAPe1fTq5vqhZopi1AJHkYhRmr1f7eaMijC9ZpQwvUWtnUSYXpAJR4Tply1bhsrKSkWIAsC4cePgcrmwfPlyzeepr69HeXl5ihAFgAsuuABdu3bFvvvuiyeeeCJnXmAwGERDQ0PKhxXYYW96vTmUNKrLAe1CmBR3mRGFLpeku6JeKdgymbup9x4z25ceUIlFGQi30DlnLJbMd+SVo+hyAV4Sqqco4qxoFs+iGMtmOaNWu335JLCIeyvC9AK74QhntKamBt26dUt5zOPxoHPnzqipqdF0ju3bt2PevHk4++yzUx6//vrrceihh6K4uBjvv/8+zj//fDQ1NeGiiy7KeK6bb74Z1113nf6FUMa6venjrpssA5GYrGmHISrpASpBGQxHUerP/etNUgloiEI9DiVJnaDhjALa7zGN+5sRbzEACYCccBQpiC514Q1vERdupptyoKQbcBRxLHq/2swZtbIoR5ZlpTI9H8QomWNDyBqDJF82CBDwx9bO6JVXXpm2gEj98eOPP5oep6GhAUcccQSGDh2Ka6+9NuVnV199NQ444ADsvffeuOKKK3D55Zfj9ttvz3q+OXPmoL6+Xvn4/fffTc/RCEb6UNIu6NEftjYePna5JEX4am51RMEZBfRvMBCktD+8XmeUac4oyVEEku6ZWYjwkVzxghxe0G5TJcvW5FqyaLdls5xRK92+lkgLIrFIfB55ILCsrqbPp5QGAV9s7YxeeumlmD59etZj+vfvj+rqamzdujXl8Ugkgtra2py5no2NjZg4cSLKysrw+uuvw+v1Zj1+1KhRmDdvHoLBIPx+f9pj/H5/xp/xhDiUMQMOJa3+l8FIDCUaLgWtlkN+jxvhaERz0ZbSbN/0uPqKxRRH1mTupt796WmkQ2TFVxIPbdMKCwdVbiLtJv3ZoL2VZrglXhAF8N25SN1rlBa8uxvkwMpqeiLqfC4fAu4A9/H1Qq5VXbBOc5EnLWRZzquUBgFfbC1Gq6qqUFVVlfO40aNHo66uDitXrsSIESMAAB9++CFisRhGjRqV8XkNDQ2YMGEC/H4/3nrrLQQCuV9MVq1ahU6dOtlCbOaivUPp1eD+0XBG3S4JHpeESEzmXtDj87iAoBFn1JwoTDqj2sLlNLY/TRnXDjmjQFzENYGe+FH2peccEiahdFo5o4qolVILpFhDO0yvdnhtIkatzBlViyuews4oxL2NxCJoibSgxMvv76o10opwLJwyD4GAYGsxqpUhQ4Zg4sSJmDlzJh566CGEw2HMmjULU6ZMUSrpN27ciLFjx+KZZ57Bvvvui4aGBowfPx4tLS147rnnUgqNqqqq4Ha78fbbb2PLli3Yb7/9EAgEsGjRItx0003429/+ZuVyNdNejGpxKGmJFZ/HhUgoqjmXkdq4Ond/oj2uVmeU5nUGdBROKeMyqKYH6PcatWrrSdoiTt2eysUxO4p2A/9wq8rhtV/OKG+3r74tkQOZB22dAKDIUwSfy4dQLIS6YB1XMUqEu9flRZGHY8qNIC9whBgFgOeffx6zZs3C2LFj4XK5cNxxx+Hee+9Vfh4Oh/HTTz+hpSVe5fvVV18plfYDBw5MOde6devQt29feL1ezJ8/H5dccglkWcbAgQNx1113YebMmfwWZgK1Q6l7hx6TIsnvcaElFNWdy2h6XLLrFOeCHmVcrTmjtNaru4CJdZieco5i0CIXjvZuUrz3pSco66CcwwvwdXizQFy2cCyM1kgrijnOK9/CzpIkodJfia2tW1EXrEOv0l7cxs43F1nAF8eI0c6dO2dscA8Affv2TSniOeSQQ3IW9UycODGl2X0+QhxKzU5hlI5YMerYmR5Xb4ulfHdk7Ramp934nnfDewKrdXB3eGmvQyWqeTq8WWjv9gkxmp2KQAW2tm5VXF1eiLZOgmzY49VEwAzdzlmYlmOnt7CGUkGPV58YpedQWrRenaKfaWsngEGYnvOuRQQ/o5xR3s4o7TC9zdo6AUm3D+CfN0raOuWTwFKuVYjvtWoINqSMLxCoEWLU4eh2KK0qrKE1rkGHkpYTzH9ct6FxmRYwAULEtccyUe2QtIkclPut2XNd6ZuZB/vSE9QV9TzJRxdZwA8hRh2ObsdOacZOy7HT58iaFUlGWx2ZH9dY7ia9pvc6nWCT42bEKWF62q2drKpAZ9X31UbOKGBdRX0+Ciyrtk8VYXpBNoQYdTh+gw5lgFLfTe7jeo05lAGv2fQAYw4l9+tMxKjJ9WaEmaNolTNK2VG0bB207kdC1PJ2eHPQKdAJgIVuX6CS67hmINeKe0qDaHgvyIIQow6HiLM2jY5dG+Vm7G0aRRK9cV0p59M+Lh1R2KaxtRP966xxvaxzRv2UnTh103ueELFFzVEUXQFYQty2ncGdXMeta6sDkF8Ci8x1Zxvfa0XuTT5dKwE/hBh1OErYWuvOQIpzRqnVkUZRaF0hkfkdp+LPN9hiidp11rvjFCNnlPaOP1ZX09MWcfneLzVoUe5rDjr5E85oQhzyIh/D9FZtCaoI9zxykQX8EGLU4ejP3aTrFOrNVeUvCmmt15ptOa1ab0Z8tB1Fi5reM8sZ5SzilJ2k8jxtIgdW50GS0Hc+YHVKA3njIBCoEWLU4RgucOG+Zzqlven1OoVWOZTUWjvZbG96p4SFnZIzqu5ukKOvsiZsGqa3QmCFo2E0h+MiP5+cUUW4W+QiiwImQTqEGHU4pDBHi1iJRGOIxOTE88z9agR074SUKOgxKc4CBrsHmBWFyXF19nOldp31iVGzBVsZoV69bVWuJXF4872aPhGml2PxrTzNErRnAZMVoWcylktyoYy3420CJaVBuMgCGyHEqMNRnFENuZtqQUOtsEaDUyjLcrKgh5JDqbmAKSEeaVXxay5gouyM8i7Yyjwh2iLOqr3pVc4oFUfRImdUvfc4jVC9Vf1Sc6CIUY5un7ogxyXlz79SkrPZEmlBMBrkMmYoGspLF1nAj/z5CxIYQk8YV30Mz76bkZiMhCHLP3fTqlxVajtdWZOGkXlClAuYrN6bHjIlEUfC25xFnMulEtYU3GqbNr0nbh/PanoifPMt7FzmLYNbiv/98xLv+eoiC/ghxKjD0VPVToSU1y3B7ZIojatPBPMUhbIsW17ARMuR1d61gI4DnRF1mJ6Go6g0WeftKBYDxO2iIaytckYBulu0WtUVIAcVgbggbI20cnP78rUgR5Ik7gVf6q4D+eQiC/ghfiscjp6cUSIczeZtqs+hbdykkDIrCnXlyKodWZM5lPpzN+mE6Y3myNK4x2mh6SjKsqrJOmfxI0l0d5OyKmdUPSaVdVjk8ObASrcv35xRgH+Obb66yAJ+CDHqcPQ0gW+j6Jrpc2STW2O6zDqyOnJk2yiKYD25m3FHlm4Vv+6cUVbOKE1HMdwaL7wBrMlRVBxFmuFtC7bRpJk6YaXDmwUr3D7SND4fC3KUxvec0hrIOPnmIgv4IcSow9GTU0grf1J9Di3j0iyq8etwKFPTA/jlboaiMSWCTauASet2oMxbO0mSqteoSfFDQsKSKy5yeUPLUYzFgDApxLJAVCtFZQ3mz2XTAiaAf5V4Pja8Jyhbgrbx2RJUbAUqyIUQow7HSAETFVGoI3eTlksYH1f7jlOKI+txQZJo5cjq7VrATwSnOLKswvSAqmG8SfETVIWETd4fQ9Dqmap+vhVheppbm9q0zyiQrBLn5fblsxjl7owmXGSx+5IgE0KMOhy/jn6f5BizlfSp4+oRwTQcWR3rpenI6nAo1ULZtBjVcX9DUdW4rML0AL2G8VblixJoOaPkOkguwFtk7lxGoObwRoFwS/xrGzqjRGDxcvucIEaJY8mafL5WAj4IMepwAnqcQlLcQqEhur5x6eUx6irYotgAXk8Bk7qC36wjq+s6q+bGrIAJoLeVptUN1pVcS5OOopIvapXDS8kZtdrhzQFvt48U5eRjziiZM28XWeSMCjIhxKjDUQpcNDhnbRT3LdczLgtnVFPBFgNnVMu4VNMh9NzfxNwkKd6+ixm0CmasFqPUnFGLHV5aYpRcB5cX8PjNnYsBvCvE1U3v8w3eW4KSayWq6QWZEGLU4SSry3UUMFFwCvXkbrIQhdblyOpYL8XrHI7KiMay9/VUN9o368hmxUcrZ9TiButKzqjJFlVW9Uol+Ck1vVf3GLXC4c0B7/3p87koh3exF0mdyEcXWcAHIUYdjvXizBqnkHuuqq7cXPrXGcidr8qleAmgtyUoEbNWO6OmHV6L2yH5yxPzoBSmt1mPUQJPty8cDaMpHL8e+ShGubfBymMXWcAHIUYdjpECJjo5lBblbiqOrPYCJrO7IKnH1eNQ0livWozmusfJ+8v4z56aiCNOXLm58xiFdq6lZc4orTC9PXdfIvDcEjTft7dUckbbROcBgT0QYtThJHMZtYSP6Tt22nIoWeSqalgvA2cU0C4KaazX43bBk9goINc9bqPYRzYrtJzRkMWOonprUzM4JvfVvj1GgWTbIB7OKBG85b5yuF2M/54YQERhS6QFoWiI6VjhaBjNiT67QowKMiHEqMPRFy63KHeTaq5qfO7RmIxINEfYmmIVv8+tEqM5RCHtxvNa7zHN+5t9Qg4RcU4pxKLtjNqwkh7g7IzmcSU9AJT5ktunsnZHyf1wS26UWxXlENgeIUYdjr6WQyxyKLU4lPRFsJaxaYpCtUOZa9xkwRYdR8WvMSWC5uYCWSFhS1oFM1aJnwClXEunpBtYnfuaAyIMWyOtaIu0MR2rNlgbHzNPWxW5JBe3VlhE7Fb4K+CShOQQpEf8ZjgcXTsShemJFX0OJZuCHu1ilJIo1OxQ0hWFWjsm0NzuNfuEHNZn1DEOr9ncV9WOWDak1FsKj8sDgIPblzh/50BnpuOwhIj32rZapuOQ8+fztRKwR4hRh6MuYJLlHIU1pMCFglhRF+doFYU0CnpcLkkJmfMu6NFatKWsl5IoTI5rswKmvHcUiTNKaVtTq8VosBHI8RqQFZsXMEmShM7+uOAhziUriBjN1zA9kBSHvIR7Pl8rAXuEGHU4xAWLyfFK72y0UXRG1TmUuYqYaOcyJoun+Bb0aC3aopmrmjquXZxR2rmWFleht5kVozZpURWLAGbC10F7FzABqv3pOQmsfC7I4bVJgGjrJNCCEKMOx0jrHxqiMNWh5Bwu19jOiroI1pu76dgCJtrV9PnuKBIxapHDq865NXNPrG5RpQFeLYuIwMrn0LMI0wvshBCjDsceOZQaC3qoOYXa8mRp5sjGx9Wau0m5gElj5wLaIjgjPto7/lgsRuUoEG41fh6r1+FyJfM8zaQcWO1Ua4CE6UXoOTe8wvT53nlAwAchRh2OJEmaRWEyd5O2U6itoCdAzaHUuV7qVe0a10vtOusrnKKRm5t9QqqcURo5ilY5cd4SAFLqXIxgtRgF6LTbUu6HfcP0ijPKuEKcuH35LLB4u8j52nlAwAfHiNHa2lqceuqpKC8vR2VlJc4880w0NWUPSR1yyCGQJCnl49xzz005ZsOGDTjiiCNQXFyMbt264bLLLkMkEmG5FOpozWWk3nJIby4jJZGUbPRv09xN6g60to0NkveXU5g+FgEiQWPniMVUYXqLwtsuF52tNMlzAxatA6CTx2v1JgQa4CawRDW9ZkSYXqAFj9UToMWpp56KzZs3Y9GiRQiHw5gxYwbOPvtsvPDCC1mfN3PmTFx//fXK98XFxcrX0WgURxxxBKqrq/HZZ59h8+bNmDp1KrxeL2666SZma6GN3+sG2iL8m7ETx86iAib7tnainauq9TrTFf0ZSclRbAS8Af3nUIsmK8WPvwwI1lMKb1voKNLocGB1dwMNEMHDUmDJsqwU/eSz20dSGpgXMDkgpUHAHkc4o6tXr8bChQvx2GOPYdSoURgzZgzuu+8+vPTSS9i0aVPW5xYXF6O6ulr5KC9PvtC+//77+OGHH/Dcc89h+PDhOOywwzBv3jzMnz8foRDbLdRoolkkscrdLBRRqHW9rHJVc47LyRl1uVXix6CII8LH5QE8BsQsLcz2Go1GgHBL4lw2cEbNiFHSVcDO1fSkkTtDZ7Qh1ICoHP9bymeBJToPCOyEI8TosmXLUFlZiZEjRyqPjRs3Di6XC8uXL8/63Oeffx5du3bFHnvsgTlz5qClpSXlvMOGDUP37t2VxyZMmICGhgZ8//33Gc8ZDAbR0NCQ8mElWsVKyKICJtoiScnd1OoE087dzJUOEaGdDmGzAiYgKbza6o09X11JL0l05mQEsyJOXcRlZRU6DTFK3lhYmW6QAx45o0RclXhL4HP7mI3DGuIi1wXrEI3l3i7aCNFYVHFeRZhekA1HhOlramrQrVu3lMc8Hg86d+6MmpqajM875ZRT0KdPH/Ts2RPffPMNrrjiCvz000947bXXlPOqhSgA5fts57355ptx3XXXGV0OdXQ3Y6fWBN6awpqAZhFMufm8Tmc0369zVgLlQOMm4+LHLsUyZkUceZ4nAHgsFC5UHd4KOnNiAI8KcacU5FQk7qMMGfWheiZisSHUABnxIkbixAoE6bC1M3rllVd2KDBq//Hjjz8aPv/ZZ5+NCRMmYNiwYTj11FPxzDPP4PXXX8fatWtNzXvOnDmor69XPn7//XdT5zOLdQVM2gpr6DuU2gqYFIeSsjNa8AVMgPndi6xuFE9QRJzBddgltG1aVKvWb/VaskCc0YZQA8KxMJMxnFC8BABelxflvvjfKWm/RBtyrcp8ZfC6vEzGEDgDWzujl156KaZPn571mP79+6O6uhpbt25NeTwSiaC2thbV1dWaxxs1ahQAYM2aNRgwYACqq6uxYsWKlGO2bNkCAFnP6/f74ff7NY/LGqvCuLpzVXkXMDHagYl/rqo+Z5T5DkyA+d2L7LLbj1kxaofiJfX4RqvpyfqtdnhzUOGrgAQp7vYF69G1qCv1MZxUkNM50BkNoQbUttWiP/pTP7+opBdoxdZitKqqClVVVTmPGz16NOrq6rBy5UqMGDECAPDhhx8iFospAlMLq1atAgD06NFDOe+NN96IrVu3KmkAixYtQnl5OYYOHapzNdahu6qddp9R7k6hzQuYmOWq5hqX7v3NSsCsM2qTBuuBREjabJje6gp0s9X0isNr33xRAHC73KjwV6AuWIfatlo2YtRB21sqBV+McmyddK0EbLF1mF4rQ4YMwcSJEzFz5kysWLECn376KWbNmoUpU6agZ8+eAICNGzdi8ODBitO5du1azJs3DytXrsT69evx1ltvYerUqTjooIOw5557AgDGjx+PoUOH4vTTT8f//vc/vPfee7jqqqtwwQUX2Mr5zIUWpzAak5W96y3bgckqUchZBLNKh9DuBPMM05sVcTZxFM2Gt22zDpNvDmxcvERg3WvUSW4f62vlJBdZwBZHiFEgXhU/ePBgjB07FocffjjGjBmDRx55RPl5OBzGTz/9pFTL+3w+fPDBBxg/fjwGDx6MSy+9FMcddxzefvtt5TlutxvvvPMO3G43Ro8ejdNOOw1Tp05N6UuaDwQ05FCqBRTtwpqczedpFzBpHJf8nN569eXI8r7OyRxZTgVMgIlqeot3XyLQKmCy2lE0/eYgP5xRIFlYJARWblj3ZXWScBewxdZhej107tw5a4P7vn37QlZtTdi7d2/897//zXnePn364N///jeVOVqFFodSHeL1ufk5lJFoDJEYcWSd4ozyzlW1szNqsvAnYHHlNjUxahdn1GyY3r7FS4QuRV0AsBNYThSjzIV7nnceELDHMc6oIDNaxAr5mcclwUNNjOYOW4eiyTnxz6G0ps9oYRQwmXTiiKNqtRPnFDFq1qnOgx6jBCKwdrTtYHJ+ct4ugS5Mzs8TbteqKP+vlYAtQowWAFrECm2BFD+XBhGsEow8czcj0RiihebIMrjHGVHEj8nWTrZxRvO8mp5cR7P3w8Y9RglEJLJyRne0OkdgkTWQNdGG3AMnCHcBW4QYLQACGqraWTRED2hwKEkeo9ctwe2is9OOlib/6p/RzlXNJoJlWWaWq6rVCebS9N50f86Eg2e1E+eYQiyTzmgehulZCKyYHFNCz04QWEK4C+yCEKMFgBankEVDdKXZfjZHlnL+ZMq4WcLl6p/RzpHNVsAUiclIGLLUndFs1zk+Lwua3ht14myTM2rW4bWJqCbXMRoEIkH9z8/DMD0LgdUQbEBEjqSMk8+wDtOLAiaBVoQYLQC05FAm8ycpikIdjiz39IDEz3xuF1yUHFlNhWKqn/Hs5yrLMvUc2awEzDqKNqneVueMqgogNWObanqVo2lEWNtlHRpg6YwScVXuK4fXnf87CpFrVR+sp75jVTgWVvalF86oIBdCjBYAenI3WTij/HNVtYtC7utl4sjmXm84Kitaim8BU76H6RMiLhY26CjaJEzvcgM+siuWgVB9m3BGgaSD6BSnr8JfAbcUfz2gXVFPthh1SS5U+OyfayywFiFGCwBbFzAxcWRzV7Wz2I1IjxPMxpHV1keWa5g+1ATEsqcPpMUuYXp1n1MjLq9dxCig2k3KgBi1S/N+DZA8yJZIC1ojrVTP7bTqcJfkUlpU0Rbv5Fp18neC28XhDbAgrxFitADQ0oy9jUHuZkCDKGSRx6ilgInpejnn5mopYGpL6VrAMUwP6BdxkRBARITVYWGXK+koGnF5bSVGTRQx5VGYvsRbAp/LB4CBwGp1ljMKqPJGKac11LYm8kWLnHOtBOwQYrQAIGKlNYsoJD8r8tETZ0Vaxg0xHDdkw3EZXueQql1Ve4gILvK6IUl0HNmsePyAO7Flrl4Rpz7eDuJHaYtkJLxN0g1sEKY0097JLk61BiRJYpY36sRWRawq6p3Uj1XAHiFGCwAifDSJJJqtnXw6RDDVllK5x21jMK5afMsZil3aWIhR1bkyrZmFCM4JcQP1ih8i4HylgNsGm8QZFaOREBBuST2HlZjJ4yWhfTs4vBpglTeqOKMOcvvIWlgJdye5yAJ2CDFaABRp2Ju+jalTmC18zEAUWiWCE+PG5NSdpVLGTVwLmuP6PS4QszPTGw7FCebRY5QQMCh+7LL7EkERo3X6nqcWr3ZYi9EwvSznVZgeYFdR70S3j6yFdnsn0WNUoAchRguA4oRIasnijLYwEKPFiiMb4TsuCVtHMoetWYyrFnqZRGFL4lrQHFeSpJwpAizWmxOjDePtsvsSoagy/lmviFNEdUW8mt1qjIbpQ82AnHhzlQfV9AA7Z9SJYXpmLrLDOg8I2CLEaAGgK2eUc9iaybh6wtYUx/W6XfC6Je7jqs+XaVwWDnROjG4Jape2TgSjYXo75YsCxndhIm8OJDfgLaY7J0YIt087wkUW2AEhRgsALWFrFmJFS9iaRXqAlrA1i3EBlfDPNC4jUZjrDQcrEZwVxRnVK+Js5owaFqN1qc+3GqW1k943B6q2TjyK3yiguH2tbJxRJ7l9zFzkxLV3knAXsEOI0QJAW9iafvhYW9iavii0MmydKyWC/bjpUyIsDdMbdUbtkp9IRFxrnb7n2U6MmnRG7eJUa0Bx+yg6oy3hZN9SJwks4YwK7IAQowWAtrA1/cIaO4etWY+bqViM2bg+a8bNitECJruJH8eF6Q3eD79N1qEBFgKLOIcBdwDFnvxIV9CCurVTTM5cbKoHWZaT+bUOEu4CdggxWgDoqrZmFLbO5BSyqvLOFbZmHS7PuV5m6QH80iFyYtgZtVuYvjL+2agYJQVQVkPWoTttwmY5vBogAmt723Zq59zeGj9Xl6IufHr1coJcq4gcQb2R3bnSUB+sRyQWj9I4KaVBwA4hRgsALWHr1nD8haOYUfg487hRpuNmDlvTT0tQj5vRkS2kMH1RfJtBtOrc89quYfp8d0aNhunJ/SP3Mw+oKqoCEBdFoWiIyjm3tW4DAHQt6krlfHbB6/ai0l8JILlGs5DzVPgr4HP7qJxT4GyEGC0QcoatE2IlYFHYmvq4OcPW9NMStI3rrPSArCgtker0Pc9urZ0cI0YNtnYiubLEWc0DKvwV8Lq8AJKOplm2tcQFFhG6ToII7O0tlK5Vq3OvlYANQowWCLmrrdmIs1xha1aOXa6wNSuHssiitAR7tnaqjH/WXfhjVxFXp+95ioizyTrUOzBlaLWWFrJuu6QbaECSJEVg0XL7iKh1mjMKJEWjuFYCqxBitEDIFcYljemZhelziCTeYXpWaQlFvvj2lbzTEopyVvGzSUvIilFn1G5herNN7+3iKJIwvRwDQk3an5eHziiQFFjU3b5i57l9ZE3UwvQOdpEFbBBitEDQGj7mHi63Kj2A2bjxP6lcVfys1svb+c6KUWfUrmH6SBsQbtP+PLs5vN5iwBV/s6QrVJ+HzigA6s6ok0PPSpieUkqD4owWC2dUoA0hRgsEu4atWywKWzPLGbWov6ki+jlX8WeFFLy01QExHS1j7Fa97SsDkKie1tOmym5iVJKM7cJE3kzkUQETQN/tIw6rE0PPSpi+RQh3gTUIMVog5A5bswofZw9bJ8P0Hsrj5srdZBym55yWkHO9jNISskKcNDkGhBq1PUeWVTv+2ESMulxJYazH5bVb03vAWDFWnobpabt9Tg7TEwdTFHsJrEKI0QIhW9g6HI0hHJVTjqM3rrawtVVN77mHyxmnJfAeNyveIsDtT0ygTttzQk2AnFiDnZw4vSJOlu3njALG8l/zNExP0+2LxCLY2RZvceVoZ1QUMAksQojRAiHb/vRqgUq//2VmZ1SW5aQYZVTAlCtszbuvakuIjRNcrLGVFVdnFNBfxNSS2B/b7Y+LWbugt/F9pA0g/S3tJOKU3q869iHPU2eUOJg03L4drTsgQ4ZbcjuyibtS7NW6HbKeTgsZcLKLLGCDEKMFQrbcTSKcXBLgc9P9lcjWUioYiSkdZqi3dsoZtmbUUiqHGLVu56cIk3FzoreISd1g3U673Oht70REq+QCfKVMpmQIvRsRRCPJFAs7iWoN0CxgUnZfCnSBS3Lev01yrVojrWgON5s6V3O4Ga2RVgAiTC/QjvP+qgRpyRbGVYfKaW9zl00Eqx/jGaZnm5aQWG8Gh9K6gi0LwvRAahGTFohjV2wz90mvGFX3GLWTqC5KXNcWjc6o2gnON2c0IYRq22oRjaX/u9CKsvuSQ6vDi73FKPGWADAv3klaRLGnGMXeYtNzExQGQowWCNnC1kmXkG7oOGXcLCLY53HB7aL7DzvbuGzTEjJfZ7ZpCTn6mzJKS8gJcdO0OnF23XpSb5jejvmigH5nlBznKwPc9F8fWNI50BkuyYWYHENtm460hDQQZ9TJTp86VG8GEaIXGEGI0QIhW9g62W6I/q9DtrA1q92IgOxha5ZpCdkcymAk2d6IfmsnjYVivMWomTC9ndBb+GO3hvcE4jhrFaN5WrwEAG5XMr/TtNvn0H3p1ShpDSYLvkTxksAIQowWCNlEUhtDUZgtbM1SjFqVlpAUwR1baLFMS0j2keWblpAT3QVMNhWjeqvpbe+ManQK87R4iUDL7SM9Rp3s9tGqqBdtnQRGcIwYra2txamnnory8nJUVlbizDPPRFNT5i3v1q9fD0mS0n688sorynHpfv7SSy/xWBJVtITLmYbps6QHsAgdZwtb80lL6NjknW1aQub+pizTEnKiiJ86bcfb1RklolKvo2hbMep8ZxRIisctLVtMnWdr69b4+RwssMi12tqy1dR5CsFFFtAnv5KAsnDqqadi8+bNWLRoEcLhMGbMmIGzzz4bL7zwQtrje/fujc2bN6c89sgjj+D222/HYYcdlvL4k08+iYkTJyrfV1ZWUp8/a7KFrZNFNfTfm2hxKFkU1WQLW7NMS8jWQouLE8w5LSEnSq5lnbbj7VrAVNwl/llr4U/LjtTn2QWlgElvDm8lk+mwpntxdwDAlmZzYpQ8v7qk2vSc7IpyrUwK95rmGgDOvlYC+jhCjK5evRoLFy7EF198gZEjRwIA7rvvPhx++OG444470LNnzw7PcbvdqK5O/WN5/fXXceKJJ6K0NLUVS2VlZYdj8w2tYWvaZAtbK+2GGLh12cLWXNIS0q6X/biRmIxwNAavSnSyTEvIPbHKxCTyvICpWGcVum3FqN4Cprr45zwN0xNBZFZgkecTweZEupdQEu7kWpU491oJ6OOIMP2yZctQWVmpCFEAGDduHFwuF5YvX67pHCtXrsSqVatw5plndvjZBRdcgK5du2LffffFE088kbMpcDAYRENDQ8qH1WQLW7PakjN+ztxha6Zhes5pCUWq9cZiqb8nLNerFvTt18xyvTkxXMBkV2d0h7bj7SpGiagONQLRcO7j8zxMT8QjceuMEIwGlWp8J7t9ZG01LcavFaByRoude60E9HGEGK2pqUG3bt1SHvN4POjcuTNqarT9YT3++OMYMmQI9t9//5THr7/+erz88stYtGgRjjvuOJx//vm47777sp7r5ptvRkVFhfLRu3dvfQtigJawNZtwebawdYzduFmcUR5pCUBq9TzANi3B65aUPNT2a2aZlpATozsw2c4ZVYlRLTvU2FWMqnNYtbijwhlVnMIiTxHKfeVU5mVHiHjc1rLNcF/WaCyqFDA5WbgL6GNrMXrllVdmLDIiHz/++KPpcVpbW/HCCy+kdUWvvvpqHHDAAdh7771xxRVX4PLLL8ftt9+e9Xxz5sxBfX298vH777+bnqNZsoWtW1nmUGatLme3K1D7sLUaHmkJQMc1s0xLkCQpowBnmZaQE6cUMBGnNhYGQpkLIxVabJr76nLrK8ZSnFGb3Q+NKG5fc43hbS7VIXruaS4c6VrUFW7JjagcNdx9YEfbDkTkCFySSxQwCXRh65zRSy+9FNOnT896TP/+/VFdXY2tW1MrACORCGprazXlev7rX/9CS0sLpk6dmvPYUaNGYd68eQgGg/D7/WmP8fv9GX9mFVqqrVmE6duHrV2qKvI2jmFrdQ4ly/W6XRL8HheCkVjGcDmrxvNFPjeaghF7hunb6oFYDHBlecMjy0mBZDcR5ysGPEVApDXuevrLsh9vVzEKxIV1W70+ZzRPw/TdiuMRs9ZIKxpCDajw6+9uQMLOTs+BdLvcqCquQk1zDWpaagytl1yrqqIqeFy2lhcCm2Hr35aqqipUVeVupTF69GjU1dVh5cqVGDFiBADgww8/RCwWw6hRo3I+//HHH8ekSZM0jbVq1Sp06tTJdmIzF1rC1izD5QDQFommCECW45KwdTQmozUURXnAy2VcIC4Kg5FYxnA5s3EzdExgmZaQE0XEyHGXLZs4CzYAcmLudnTiirsADX/ExWinvtmPtWuYHohf253rtBVjke4GeRqmL/IUodJfibpgHba0bDEnRh1cvEToXtwdNc018dQEA12sRPGSwCi2DtNrZciQIZg4cSJmzpyJFStW4NNPP8WsWbMwZcoUpZJ+48aNGDx4MFasWJHy3DVr1uCjjz7CWWed1eG8b7/9Nh577DF89913WLNmDR588EHcdNNNuPDCC7msiybEKcwWtmbiUKqEV3txxnJcSZJQnEGAs94aszhD5wLm42boJdvK0AnOiccP+BN5drmKf4hT5ykCvEVs52UErRX1oZa4gwrYU4zq2YWpORGuLcnf/prqUL0RiMAqhBxIs9dKFC8JjOIIMQoAzz//PAYPHoyxY8fi8MMPx5gxY/DII48oPw+Hw/jpp5/Q0tKS8rwnnngCu+yyC8aPH9/hnF6vF/Pnz8fo0aMxfPhwPPzww7jrrrtwzTXXMF8PbVJEYaYwLgPHzpUIW6cbt43huIBqK9JM4zIShZm2QGW+3kw5o4zHzUlJInesOcfOLnYtXiJoragnP3f7AF9p9mOtQOsuTLFYci15LEbN9s8spL6ZREQavVaF0I9VwAZbh+n10Llz54wN7gGgb9++aRPYb7rpJtx0001pnzNx4sSUZvf5TLawNcv+l0DusDUrUZgrbM08XB4ujHFzUlIF1P6adNkyYdfiJYJeMVrcBbBjwYvWXqNtdcm0CTs6vBqh5fYVRJi+xFwrLNIWqhCulYAujnFGBdnRErZmJQpzha2ZjZszbM14XI5pCVnHZZwekJNijc6oXYuXCFrD9MRxtFuvVEKRxjA9uV+BCsDjYzsnhogwvXbM9hotJBdZQBchRguITGFrlmH6lHEziDPeYWtu4xZIWkJOSJhea86oXSu3NTujNq6kB5LOaC5R7YB8UcBcmL410oq6YF3KeZyM2e1TRQGTwChCjBYQmcLWrB3KTOFj5ukBVo9bIGkJOSFiRqsz6qQwvR1RCphyidHE/cpzMao0vjcgsAql4T2BXKttrdsQiXXsDZ2NlIb3ooBJoBMhRguIUn88RbgpmPoiQ74nP2c2bluGcQOMxg1kGLeN07jtr3Mbp+scTN3mkcyjjNG4OdFawGR38aM1TG97MZqYV3MOUU3uh13XoZGepfGOKpuaNiEmd9yWOBubmjYBAHqV9nJ0w3tC16Ku8Lq8iMkx3U7ylpYtiMpReF1e0fBeoBshRguI8qK4GGloTRUr5PvyIm+H59AZN37ehrYM4wYYjRvIMG4bp3HbX+c2Tte5NVUEJ++vVWKUOKM5CpiaEv/8Sm0a4nOKM0qub1MOseGASnogHnr2SB6EYiHFudPKH01/AAB2Kd2FxdRsh0tyoVdpLwDAH41/6HouOb5XaS+4XRZFYQR5ixCjBUQ6cRaNyWhMOGcVjERSRSaR1MZr3PQimPm4HcQ3p/VmEN+sxs2J4ozmEqOJXdRKu7Gdj1GcJkZbdgDRcObj7O5Ua8Tj8qBHaQ8ASXGpFSKwdikrDDEKJNeqW4wmrm2vsl7U5yRwPkKMFhBEjNSrxFmjSriUMQpbpxPBkWhMCR+zcwrj66lvJ0brGTuFGR1K5o5sjvUyGjcnWqvp88UZba2Nb12aCaWAyaZitLgzILkByNnfIChiNP9DrsTZ/L3xd13PU5zRQhKjBq8VOb5QXGQBXYQYLSDSiSTydbHPnbJ/O91xO6YHqPMp2Yvg5FiRaAzNiYIe1qIwY1oCcxGc3pFlJfpzQpy11log1nE7WgXFGbWpGCUtkWKR+NalmVDEqE0LsVzu5D3JFqonOaVOEKNG3b7GwgrTA6prZdBF7l3Wm/qcBM5HiNECIp1DydqtU59b7diRr9mK4I7irLGNgwhO40CHuYjgjuI7/r3VzmjCIZRjmXtbBpuAUFP8a7uG6b0BwFsS/zqbo9iS+Jld+4wCyWtM3gCkwyFhesCYwJJlOen2FZIzKoS7wAKEGC0g0jmUPIpbkgVMHR1ZtiK4o0NJvi7xueFhJYLTFDDxEcEd7284GlNaO1lWwOT2JNs1ZQrVNydEkbfYnltoEhQRl8FRjEWTAq/Mxu1ttBQxKdX0DnBGS/ULrIZQA5rC8TdIpCK/EFCulV5ntABTGgT0EGK0gEjnnPFxRtOI4DaOIjhFfLMPWSuiMEV8cxTBbelFMKuWUprIVVGvLl6ycwud8oQoadiU/ufN2+JbaEouoMSmDi+QW4xGI0kX2wHOKCmq0SNGybFVRVUo8hQxmZcdIWKyPliPhlCWdBQVjaFGZXMAUo0vEOhBiNECwjpxliY9gENRjXXiO811ZtzWSX3utnAMwUg0ZQ6lfg8zEayJXI3v7V68RCiLV2WjcXP6nxORWto97gjblVxh+tZaADIAyb47SemAuH072nagJdyi6Tm/NxVeiB4ASrwl6ByI3/ONjRs1PWdjU/y4Tv5OKLVzZENgW4QYLSCyha3LGYWO4+dOUzjFRZxZm5YQjMSUrTh5pCWU+T2KqUgcUR73VxO52iLZva0ToTwhRhsyiFEiUolotSu5nFHiYBd3jhc85TkV/gqU+coAJIVTLgo5B1JvqL4QW2AJ6CLEaAGRzhmtZ9xzEwAqitM5o2x7bqrPrRaFPNabTRSyHNflkpRdlsg6k22sLCpeIhSKM5o3YjSHM+qg4iWC3pZFhSywSFqD7mtVgMJdQAchRgsIdWsnOdEnkfXuS0DSlQupnUIOjl2JzwNXQhSS8XiE6dWiUBmX0y5I7d9wWN7WiUBEZiYRR0SRnfMsAQ1h+sTj5XkiRpsziNHGmtTjHMCu5bsCAH5r+E3T8esb1gMozFZFu5YZvFblhXetBHQQYrSAUERhNIZgJL5HM8mnZCnO0opCDiLY5ZJQ1i5FgJc46yAKObVXap8na3lbJ0Jl4p9UXQanJW/C9DkKmPLGGSVh+gxitH5D/HPFrnzmw4EBlQMAAGvq1uQ8VpZlrK1bCwAYWDmQ6bzsCFmzlmulPq4Qr5WADkKMFhAporCVn2OXVhRyEMGAurK9vShk7FC2F4XcRHBqnqzl+9ITKhLhu/oMOWh5F6avSb8LExGp5TZvBUREf7ABCKUp6CH3qcI5YdcBFXExSkRmNna07UBdsA4SJPSt6Mt4Zvajf2V/AMCvdb8qUbRMyLKMX+t+jT+voj/zuQmciRCjBUSKKOQYtgbSiEJeYetA+7A1nxzKDqKQuwjme39zUpFwRuv/SC/i7L77EoH0Do0GkzstqckXZ9RfDngC8a/TheqJg13pnLArce1+rf8VMTmW9VgirnYp26Wg2joR+pb3hVtyoynchC0tWXrRAtjashWN4Ua4JTf6VfTjNEOB0xBitMBI7k/P2bFrtwsTr/3SO4atOTmymdbLLT2A7/3NSXkvABIQae3Ya1SWVc6ozcP0Hn+yM0BjmlB9Q56IUUlKXuvGNGKjPiFGHeSM9i7vDY/Lg9ZIKzY3Z8j5TUDCziS0X2j43D4lxzaXk0x+3rusN3xuH/O5CZyJEKMFRuawNSdR2N4pdGjYun1vVR59VdXn552WkBOPL+kq1rfLG22sAWJhQHLbe9ciQlkiBE+KfAihZiBYH//a7gVMAFBOUifa3Q9ZVoXpneOMel1e9C3vC0C7wCrkHEiteaMiX1RAAyFGC4z2orCemzhL3ZWIR99N9fktc2Tb58hyus62a+0EqEL17cRPbTwkisregNsG88yF0mu0nTNKxKm3JB4GtzudE/l95PoTWmoB0hjeQc4ooF9gFaozCiTX/mv9r1mPIz8v5GslMI8QowWGWoyq9y1n2f9Sff72zii3cds7hbzH5SQKO1xnDn1VNUOETfuKeiKGOudJ8UOm9k5K8VIPe29pSuicyO9rL0ZJJX1p93hagoMggimbMyrLMtbWC2dUa/cB4YwKaCDEaIGhdih57luuDh+rRTC/vpupjixrcZa5gMmZObKaqFQVManJNzGaqb1TvhQvETI5ow4M0RO0OKM72nagPlgPl+RSwvr/3969B0V13m8Af84CuwsCiwgsEBAvKHjjookUtAlRKkkcJ3Q62qT5GTVWGweTkLbJ0JmMjpMmxkynaZI6TaeZqL2NNrWYNDUaq4gtQY1cIiIlSojGcFO5ioq4+/7+OO7CKuiC2fPu5fnMMAfOvsv7Pa9njg/vuawvSjSpY1XfUT/kHfUD76TnzCjdDYZRHzNwZlTLzy0fGAq1DcH918heu27FlRsP3dc8FGoWgod6eoAbfE76nU7Te0oYtW1He4Pj+rYbP4d5yLM5hwqjHd5385LN5NGTAQCn2k+h19I7aJuaCzUAgITQBBhtTxzwQQmhCdDr9Ojp6xny4fdnu8+iu68bep3ep4M73T2GUR8z8MYaLW9uGRgK5YTgPnQP+DjSYFc/YmlAv9qGYDk3qDnFFuI6zjqu97QwGpWsLltrHde3nlSXkcna1jNSttP0PeeBq1396zu977FONvEh8Qg3hqPP2oeTF08O2qaytRIAkBaZpmFl7ifALwDTI6YD6B+Tm9nWT4uYhgBPuN6b3BbDqI+xh5Ur1zV97M/AcKZtCO6fobTNUoYY/OGnc+01fQNDoZwQfB291y242md1WC/VYKfpheifUfSUMGoLmz3nHR9Tdf5/6jJqqvY1jYTRBARFqN8PnOW1P9bJQ2Z4h0FRFHvIvFPASo9K16ost5UWlQYAqDpfNejrVa1VDu2IRoph1MeYgtRQ0tZzDe2XrwHQZtbMdnq6/fI1tF/W7g5vWx/tA7dXg35t46z2q26vJiHY/hzZa2jvUftVFNdfDuEU22nfK23A1RuPQOq5AFzrBqAAYQnSShsW/aj+Wm2zo9evARdvXIcY5SEzo8Dgp+rbv1KXXniaHugPmYOF0T5LH2ouqqfpGbBuP1YD16dHMrjT3WEY9TEJY0YBAE6fv4RTrZcAAOMigjTrt761B180d6v93ljnSuPGqNt2rv0yTnzTeaMW12/v2PAgKArQfrkPRxouqrVEuH57zSEGGPx16LMI7P9fi70WV4dgpxhN/bNtjVXq0haCTHFAgAddn2eb/bTNhl48DVivq490Cr1HXl3DdXMY7bvSH7Cjp8upycXSzWpw+rz181tuzDnZdhK9ll6MNozmNZDov1ShobMBHVc7HF7r7O20P9aJwZ3uFsOoj0kyh0BRgPPdvSg9rZ5iTI52/TMRx0eMgsFfhyt9FuytUZ/HOCXG9f1GhhgwZpQeVgF8UNWoWb9Ben972C6q+OZGvyEu79ffT4ekaLWff9j61eDf12lxs9Tluc/Upf16UQ/7GEH7daMnHZeRyZ7xWCebm8No0+dqqB4V5ZV30wPA1PCpMPgZ0N7bfsuNObbTzqlRqVA86d/RRcKMYfbPm7/5VL1trMabxmO0cbTGlZG3YRj1MaMM/kgIV2cGy8+0A9AmnPnpFHtIOnaj32QNwpmiKPZ+bNubHO36fgf2Y99ejUKhrd9yDcfZaXH3qctvytXl+RuzcJ5yvaiNbWbUNotoW0ZNkVPPSNnGvfXGDO+5Y+oy7j7PCtXDEOAXgGljpgEADjcddnitrKkMAK8XHcg2FjePle1njhV9GxhGfdDN4XOqBmEUuHWGTla/WoTvwfrx9n6dYguj5z5Tb146tU/9OWGOvJpGwhY6W2vV7fC0m5dsEjLV5Tfl6vW7thnruHvl1aSBeWPnAQA+rP/Qvq71civKGtUw+mD8g1Lqcke2sdj95W70WdTr0PusfdjdsNvhdaK74TVh9JVXXkFWVhaCgoIQFhbm1HuEEFi3bh1iYmIQGBiInJwcnDp1yqFNW1sbnnjiCYSGhiIsLAwrV67EpUuXXLAF2hkYTmJNRvvNNq7vt3+GLsTgj7jRgRr127+9/joFk8zBmvcLaBi+JfXrlOgUQBeg3onecEg9va34AYk5sisbnjGTAEUHXO1Qb/hpOq6u96SblwD1Wt3oFAAC+GKv48yoF1s4YSH8FX9UX6i2fxrTP+v/CauwIj0qHeNNHnbZiAvNuWcOIgIj0N7bjkPnDgEADp07hLarbYgIjMDce+ZKrpC8gdeE0WvXrmHx4sVYs2aN0+95/fXX8dZbb+Gdd97BkSNHMGrUKOTm5uLq1av2Nk888QRqamqwb98+fPTRRzh06BBWr17tik3QzMCwkqxhUHHsN0Sza7IG9jsxMhgGfz+N+u0P35qG/gEzwVqGfqcEGIGYFPX7Ay+ry4QsIChcXk0jEWAExt6YVdyxVP0ITX0IEOuBpyyTHlGX5VuArnNqyPbE7RiGiMAIfDfuuwCAolNFEEJg1+ldAIC8xDx5hbkhf50/Fk1cBAAoOl0EAPaxWjRhEfx1bvCkDvJ4XhNGN2zYgOeffx4zZsxwqr0QAr/5zW/w0ksv4dFHH0VKSgr++Mc/orGxEbt27QIA1NbWYs+ePXj33XeRkZGBuXPn4u2338b27dvR2Nh4+w7c2MCQpMVNNTYDg6+Wp44To4IR4Kfc6Fe77b0nLND+vFEtt9cUFIB7wtQAqmXod1rcbHVpOyU8+SF5tdyN+19Qly3V6vI7T6tPDPA0STfG3/bvYZ4GGLQ5eyDT9xO/DwD46//+ivz9+fiq6ysE+gcid1yu5Mrcjy2gl5wrwbMHnsXBrw86rCe6W14TRoeroaEBzc3NyMnpPz1oMpmQkZGBsjL1uqGysjKEhYXh3nv7r5/KycmBTqfDkSNHhvzdvb296OrqcvhyJ/eEBSJERkgK7A9JWvar99dhYmSw5v2qN0+Fat6v2l+IlH6dMuc5wDzgj8akh+XVcjcmZANjs9TvDaFAZr7UckYsJg0IiVW/D4oAHnpNajlauT/ufixIWIA+ax/+881/oFN0KJxdiFEBrn8Em6eZYJqAVTNWAQCKvy4GAKycvhITwjzsxkNyWz47v97crD5eyGw2O6w3m83215qbmxEVFeXwur+/P8LDw+1tBrNx40Zs2LDhW67426MoCp6aMx4HvziP706K1LTvFXPG4R8V3yBnivnOjb9Fy7LGYUtpAxamxGja7/99JwEXL/UiL13bZ0/+KGMs6s/3YPEsN3w8T2gMsOoAULENMIQAYybKrmhkFAXIfQV4fzkw93kg0EMfb6MowOIt6jW89z4FjIqQXZEm/HR+eP3+1xFXGYdPvvoEP7/v55g/dr7sstzWszOfRWRQJLbVbMOTU5/Ej6b8SHZJ5EUUcfNTf91IYWEhNm3adNs2tbW1SE7uv2lg69atKCgoQEdHx23f9+mnn2LOnDlobGxETEx/QFmyZAkURcGOHTvw6quvYtu2bairq3N4b1RUFDZs2DDk9am9vb3o7e21/9zV1YX4+Hh0dnYiNNQNZ6qIiIjoFl1dXTCZTPz/28Xcemb0Zz/7GZYvX37bNhMmjOw0QXR0NACgpaXFIYy2tLQgLS3N3qa1tdXhfdevX0dbW5v9/YMxGAwwGAwjqouIiIjIl7h1GI2MjERkpGtOI48fPx7R0dHYv3+/PXx2dXXhyJEj9hnPzMxMdHR0oLy8HLNmqZ8cc+DAAVitVmRkZLikLiIiIiJf4jU3MJ09exZVVVU4e/YsLBYLqqqqUFVV5fBM0OTkZBQVqY+mUBQFBQUF+OUvf4kPP/wQ1dXVePLJJxEbG4u8vDwAwJQpU/DQQw9h1apVOHr0KEpLS7F27Vo89thjiI2NlbGZRERERF7FrWdGh2PdunXYtm2b/ef0dPU5ecXFxcjOzgYA1NXVobOz097mxRdfRE9PD1avXo2Ojg7MnTsXe/bsgdFotLf5y1/+grVr12L+/PnQ6XT4wQ9+gLfeekubjSIiIiLycm59A5O34AXQREREnof/f2vDa07TExEREZHnYRglIiIiImkYRomIiIhIGoZRIiIiIpKGYZSIiIiIpGEYJSIiIiJpGEaJiIiISBqGUSIiIiKShmGUiIiIiKTxmo8DdWe2D7nq6uqSXAkRERE5y/b/Nj+s0rUYRjXQ3d0NAIiPj5dcCREREQ1Xd3c3TCaT7DK8Fj+bXgNWqxWNjY0ICQmBoijf2u/t6upCfHw8vv76a35m7h1wrJzHsRoejpfzOFbO41g5z5VjJYRAd3c3YmNjodPxykZX4cyoBnQ6HeLi4lz2+0NDQ3mwchLHynkcq+HheDmPY+U8jpXzXDVWnBF1PcZ8IiIiIpKGYZSIiIiIpGEY9WAGgwHr16+HwWCQXYrb41g5j2M1PBwv53GsnMexch7HyvPxBiYiIiIikoYzo0REREQkDcMoEREREUnDMEpERERE0jCMEhEREZE0DKNubvPmzRg3bhyMRiMyMjJw9OjR27Z///33kZycDKPRiBkzZmD37t0aVSrfcMZq69atUBTF4ctoNGpYrTyHDh3CokWLEBsbC0VRsGvXrju+5+DBg5g5cyYMBgMSExOxdetWl9fpDoY7VgcPHrxlv1IUBc3NzdoULNHGjRtx3333ISQkBFFRUcjLy0NdXd0d3+eLx6yRjJWvHrN+97vfISUlxf5A+8zMTHz88ce3fY8v7lOejmHUje3YsQM//elPsX79elRUVCA1NRW5ublobW0dtP2nn36Kxx9/HCtXrkRlZSXy8vKQl5eHEydOaFy59oY7VoD6aR1NTU32rzNnzmhYsTw9PT1ITU3F5s2bnWrf0NCAhQsX4sEHH0RVVRUKCgrw4x//GHv37nVxpfINd6xs6urqHPatqKgoF1XoPkpKSpCfn4/Dhw9j37596Ovrw4IFC9DT0zPke3z1mDWSsQJ885gVFxeH1157DeXl5Th27BjmzZuHRx99FDU1NYO299V9yuMJcluzZ88W+fn59p8tFouIjY0VGzduHLT9kiVLxMKFCx3WZWRkiJ/85CcurdMdDHestmzZIkwmk0bVuS8Aoqio6LZtXnzxRTFt2jSHdT/84Q9Fbm6uCytzP86MVXFxsQAg2tvbNanJnbW2tgoAoqSkZMg2vnzMGsiZseIxq9/o0aPFu+++O+hr3Kc8E2dG3dS1a9dQXl6OnJwc+zqdToecnByUlZUN+p6ysjKH9gCQm5s7ZHtvMZKxAoBLly4hISEB8fHxt/1L29f56n51N9LS0hATE4Pvfe97KC0tlV2OFJ2dnQCA8PDwIdtw31I5M1YAj1kWiwXbt29HT08PMjMzB23DfcozMYy6qQsXLsBiscBsNjusN5vNQ15/1tzcPKz23mIkY5WUlIT33nsPH3zwAf785z/DarUiKysL586d06JkjzLUftXV1YUrV65Iqso9xcTE4J133sHOnTuxc+dOxMfHIzs7GxUVFbJL05TVakVBQQHmzJmD6dOnD9nOV49ZAzk7Vr58zKqurkZwcDAMBgOefvppFBUVYerUqYO25T7lmfxlF0AkQ2ZmpsNf1llZWZgyZQp+//vf4+WXX5ZYGXmypKQkJCUl2X/OyspCfX093njjDfzpT3+SWJm28vPzceLECfz3v/+VXYrbc3asfPmYlZSUhKqqKnR2duLvf/87li1bhpKSkiEDKXkezoy6qYiICPj5+aGlpcVhfUtLC6Kjowd9T3R09LDae4uRjNXNAgICkJ6ejtOnT7uiRI821H4VGhqKwMBASVV5jtmzZ/vUfrV27Vp89NFHKC4uRlxc3G3b+uoxy2Y4Y3UzXzpm6fV6JCYmYtasWdi4cSNSU1Px5ptvDtrW1/cpT8Uw6qb0ej1mzZqF/fv329dZrVbs379/yGtlMjMzHdoDwL59+4Zs7y1GMlY3s1gsqK6uRkxMjKvK9Fi+ul99W6qqqnxivxJCYO3atSgqKsKBAwcwfvz4O77HV/etkYzVzXz5mGW1WtHb2zvoa766T3k82XdQ0dC2b98uDAaD2Lp1qzh58qRYvXq1CAsLE83NzUIIIZYuXSoKCwvt7UtLS4W/v7/41a9+JWpra8X69etFQECAqK6ulrUJmhnuWG3YsEHs3btX1NfXi/LycvHYY48Jo9EoampqZG2CZrq7u0VlZaWorKwUAMSvf/1rUVlZKc6cOSOEEKKwsFAsXbrU3v7LL78UQUFB4oUXXhC1tbVi8+bNws/PT+zZs0fWJmhmuGP1xhtviF27dolTp06J6upq8dxzzwmdTif+/e9/y9oEzaxZs0aYTCZx8OBB0dTUZP+6fPmyvQ2PWaqRjJWvHrMKCwtFSUmJaGhoEMePHxeFhYVCURTxySefCCG4T3kLhlE39/bbb4uxY8cKvV4vZs+eLQ4fPmx/7YEHHhDLli1zaP+3v/1NTJ48Wej1ejFt2jTxr3/9S+OK5RnOWBUUFNjbms1m8cgjj4iKigoJVWvP9vihm79s47Ns2TLxwAMP3PKetLQ0odfrxYQJE8SWLVs0r1uG4Y7Vpk2bxMSJE4XRaBTh4eEiOztbHDhwQE7xGhtsnAA47Cs8ZqlGMla+esx66qmnREJCgtDr9SIyMlLMnz/fHkSF4D7lLRQhhNBuHpaIiIiIqB+vGSUiIiIiaRhGiYiIiEgahlEiIiIikoZhlIiIiIikYRglIiIiImkYRomIiIhIGoZRIiIiIpKGYZSI6A6WL1+OvLw82WUQEXklf9kFEBHJpCjKbV9fv3493nzzTfDzQYiIXINhlIh8WlNTk/37HTt2YN26dairq7OvCw4ORnBwsIzSiIh8Ak/TE5FPi46Otn+ZTCYoiuKwLjg4+JbT9NnZ2XjmmWdQUFCA0aNHw2w24w9/+AN6enqwYsUKhISEIDExER9//LFDXydOnMDDDz+M4OBgmM1mLF26FBcuXNB4i4mI3AvDKBHRCGzbtg0RERE4evQonnnmGaxZswaLFy9GVlYWKioqsGDBAixduhSXL18GAHR0dGDevHlIT0/HsWPHsGfPHrS0tGDJkiWSt4SISC6GUSKiEUhNTcVLL72ESZMm4Re/+AWMRiMiIiKwatUqTJo0CevWrcPFixdx/PhxAMBvf/tbpKen49VXX0VycjLS09Px3nvvobi4GF988YXkrSEikofXjBIRjUBKSor9ez8/P4wZMwYzZsywrzObzQCA1tZWAMDnn3+O4uLiQa8/ra+vx+TJk11cMRGRe2IYJSIagYCAAIefFUVxWGe7S99qtQIALl26hEWLFmHTpk23/K6YmBgXVkpE5N4YRomINDBz5kzs3LkT48aNg78/D71ERDa8ZpSISAP5+floa2vD448/js8++wz19fXYu3cvVqxYAYvFIrs8IiJpGEaJiDQQGxuL0tJSWCwWLFiwADNmzEBBQQHCwsKg0/FQTES+SxH8WBEiIiIikoR/jhMRERGRNAyjRERERCQNwygRERERScMwSkRERETSMIwSERERkTQMo0REREQkDcMoEREREUnDMEpERERE0jCMEhEREZE0DKNEREREJA3DKBERERFJwzBKRERERNL8PzT9+HQiO/vAAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from math import cos, pi\n",
"\n",
"time1 = np.arange(0, 1+0.01, 0.01)\n",
"time2 = np.arange(1, 2+0.01, 0.01)\n",
"time3 = np.arange(2, 3+0.01, 0.01)\n",
"\n",
"f1_var=5\n",
"f2_var=3\n",
"f3_var=2\n",
"\n",
"f1 = np.vectorize(lambda x: cos(2*pi*x*f1_var))\n",
"f2 = np.vectorize(lambda x: cos(2*pi*x*f2_var))\n",
"f3 = np.vectorize(lambda x: cos(2*pi*x*f3_var))\n",
"\n",
"plt.plot(time1, f1(time1))\n",
"plt.title(f\"Cosine signal with frequency = {f1_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time2, f2(time2))\n",
"plt.title(f\"Cosine signal with frequency = {f2_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time3, f3(time3))\n",
"plt.title(f\"Cosine signal with frequency = {f3_var}Hz\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"plt.plot(time1, f1(time1))\n",
"plt.plot(time2, f2(time2))\n",
"plt.plot(time3, f3(time3))\n",
"plt.title(f\"Cosine signal with 3 different frequencies ({f1_var}Hz, {f2_var}Hz, {f3_var}Hz) at different intervals\")\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3 "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pS+j5e+euffdadR3XlTM/AHAJPg1AhnHp7yjJz8+v0Xb77bfr9ttvr3Mfm82mBQsWaMGCBZczPaBVuDjshA4PJfwAgAn8LjAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5BCAAAGA5Pg1Amzdv1oQJExQTEyObzaa1a9fW23/atGmy2Ww1Hv369XP3mT9/fo3n+/Tp4+UjAQAArYlPA1B5ebkGDhyoZcuWmeq/dOlSHT9+3P345ptv1LlzZ91+++0e/fr16+fRb8uWLd6YPgAAaKXa+fLFx40bp3HjxpnuHxoaqtDQUPf22rVr9d1332n69Oke/dq1a6eoqKgmmycAAGhbfBqALtdLL72kxMRE9ejRw6P94MGDiomJUVBQkBISEpSVlaXu3bvXOY7T6ZTT6XRvOxwOSZLL5ZLL5WrSOV8Yr6nHbYuolTlVrir3n10ul/xd/j6cTcvHujKPWplHrczzZq0aMqbNMAyjyWfQCDabTW+99ZZSUlJM9T927Ji6d++uVatW6Y477nC3r1u3TmfPnlXv3r11/PhxZWZm6ujRo9qzZ486duxY61jz589XZmZmjfZVq1YpODi4UccDNJtzUujk82dGy1aXSUE+ng8A+EhFRYV+8YtfqKysTCEhIfX2bbUBKCsrS08//bSOHTumwMDAOvuVlpaqR48eWrx4se6+++5a+9R2Big2NlanTp26ZAEbyuVyKTc3V0lJSQoICGjSsdsaamVOVXmVCsMKJUmDTgxSUCcSUH1YV+ZRK/OolXnerJXD4VB4eLipANQqL4EZhqHly5frrrvuqjf8SFKnTp10zTXXqKioqM4+drtddru9RntAQIDXFrI3x25rqFX9/AJ++CwDtTKPWplHrcyjVuZ5o1YNGa9Vfg/Qpk2bVFRUVOcZnYudPXtWhw4dUnR0dDPMDAAAtAY+DUBnz57V7t27tXv3bknS4cOHtXv3bh05ckSSlJGRoalTp9bY76WXXtLQoUPVv3//Gs/95je/0aZNm/TVV1/p008/1S233CJ/f39NmTLFq8cCAABaD59eAtu+fbtGjRrl3k5PT5ckpaamKicnR8ePH3eHoQvKysr0xhtvaOnSpbWO+e2332rKlCk6ffq0IiIiNHz4cBUWFioiIsJ7BwIAAFoVnwagkSNHqr57sHNycmq0hYaGqqKios59Vq9e3RRTAwAAbVirvAcIAADgchCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5RCAAACA5fg0AG3evFkTJkxQTEyMbDab1q5dW2///Px82Wy2Go/i4mKPfsuWLVNcXJyCgoI0dOhQbdu2zYtHAQAAWhufBqDy8nINHDhQy5Yta9B+Bw4c0PHjx92Prl27up9bs2aN0tPTNW/ePO3cuVMDBw5UcnKyTpw40dTTBwAArVQ7X774uHHjNG7cuAbv17VrV3Xq1KnW5xYvXqwZM2Zo+vTpkqTs7Gy9//77Wr58uR599NHLmS4AAGgjfBqAGis+Pl5Op1P9+/fX/PnzdeONN0qSKisrtWPHDmVkZLj7+vn5KTExUQUFBXWO53Q65XQ63dsOh0OS5HK55HK5mnTuF8Zr6nHbImplTpWryv1nl8slf5e/D2fT8rGuzKNW5lEr87xZq4aM2aoCUHR0tLKzszV48GA5nU69+OKLGjlypLZu3aobbrhBp06dUlVVlSIjIz32i4yM1P79++scNysrS5mZmTXaN2zYoODg4CY/DknKzc31yrhtEbW6hHNSqEIlSRs3bpSCfDyfVoJ1ZR61Mo9ameeNWlVUVJju26oCUO/evdW7d2/39rBhw3To0CE988wzeuWVVxo9bkZGhtLT093bDodDsbGxGjNmjEJCQi5rzj/mcrmUm5urpKQkBQQENOnYbQ21MqeqvEqFKpQkjR49WkGdSED1YV2ZR63Mo1bmebNWF67gmNGqAlBthgwZoi1btkiSwsPD5e/vr5KSEo8+JSUlioqKqnMMu90uu91eoz0gIMBrC9mbY7c11Kp+fgE/fJaBWplHrcyjVuZRK/O8UauGjNfqvwdo9+7dio6OliQFBgZq0KBBysvLcz9fXV2tvLw8JSQk+GqKAACghfHpGaCzZ8+qqKjIvX348GHt3r1bnTt3Vvfu3ZWRkaGjR4/q5ZdfliQtWbJEPXv2VL9+/XTu3Dm9+OKL2rhxozZs2OAeIz09XampqRo8eLCGDBmiJUuWqLy83P2pMAAAAJ8GoO3bt2vUqFHu7Qv34aSmpionJ0fHjx/XkSNH3M9XVlbq17/+tY4eParg4GANGDBAH330kccYkyZN0smTJzV37lwVFxcrPj5e69evr3FjNAAAsC6fBqCRI0fKMIw6n8/JyfHYnjNnjubMmXPJcdPS0pSWlna50wMAAG1Uq78HCAAAoKEIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHJ8GoA2b96sCRMmKCYmRjabTWvXrq23/5tvvqmkpCRFREQoJCRECQkJ+vDDDz36zJ8/XzabzePRp08fLx4FAABobXwagMrLyzVw4EAtW7bMVP/NmzcrKSlJH3zwgXbs2KFRo0ZpwoQJ2rVrl0e/fv366fjx4+7Hli1bvDF9AADQSrXz5YuPGzdO48aNM91/yZIlHtu/+93v9Pbbb+vdd9/V9ddf725v166doqKimmqaAACgjfFpALpc1dXVOnPmjDp37uzRfvDgQcXExCgoKEgJCQnKyspS9+7d6xzH6XTK6XS6tx0OhyTJ5XLJ5XI16ZwvjNfU47ZF1MqcKleV+88ul0v+Ln8fzqblY12ZR63Mo1bmebNWDRnTZhiG0eQzaASbzaa33npLKSkppvd56qmn9MQTT2j//v3q2rWrJGndunU6e/asevfurePHjyszM1NHjx7Vnj171LFjx1rHmT9/vjIzM2u0r1q1SsHBwY06HqDZnJNCJ4dKkspWl0lBPp4PAPhIRUWFfvGLX6isrEwhISH19m21AWjVqlWaMWOG3n77bSUmJtbZr7S0VD169NDixYt1991319qntjNAsbGxOnXq1CUL2FAul0u5ublKSkpSQEBAk47d1lArc6rKq1QYVihJGnRikII6kYDqw7oyj1qZR63M82atHA6HwsPDTQWgVnkJbPXq1brnnnv02muv1Rt+JKlTp0665pprVFRUVGcfu90uu91eoz0gIMBrC9mbY7c11Kp+fgE/fJaBWplHrcyjVuZRK/O8UauGjNfqvgfo1Vdf1fTp0/Xqq69q/Pjxl+x/9uxZHTp0SNHR0c0wOwAA0Br49AzQ2bNnPc7MHD58WLt371bnzp3VvXt3ZWRk6OjRo3r55Zclnb/slZqaqqVLl2ro0KEqLi6WJLVv316hoefvgfjNb36jCRMmqEePHjp27JjmzZsnf39/TZkypfkPEAAAtEg+PQO0fft2XX/99e6PsKenp+v666/X3LlzJUnHjx/XkSNH3P3/8pe/6F//+pdmzpyp6Oho92PWrFnuPt9++62mTJmi3r1764477lCXLl1UWFioiIiI5j04AADQYvn0DNDIkSNV3z3YOTk5Htv5+fmXHHP16tWXOSsAANDWtbp7gAAAAC4XAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFhOO7Md33nnnQYPnpSUpPbt2zd4PwAAAG8yHYBSUlIaNLDNZtPBgwd15ZVXNnROAAAAXtWgS2DFxcWqrq429QgODvbWnAEAAC6L6QCUmpraoMtZd955p0JCQho1KQAAAG8yfQlsxYoVDRr4+eefb/BkAAAAmgOfAgMAAJZj+gzQxcrLy/XEE08oLy9PJ06cUHV1tcfzX375ZZNMrq0xqgyVbSpTwOYAlXUoU5dRXWTzt/l6WgBQA+9XaOsadQbonnvu0UsvvaSbbrpJaWlpmjVrlsfDrM2bN2vChAmKiYmRzWbT2rVrL7lPfn6+brjhBtntdvXq1Us5OTk1+ixbtkxxcXEKCgrS0KFDtW3btgYcnXecfPOkCuMKtSdpj4IXB2tP0h4VxhXq5JsnfT01APDA+xWsoFFngNatW6f3339fN95442W9eHl5uQYOHKhf/vKXuvXWWy/Z//Dhwxo/frzuv/9+/e1vf1NeXp7uueceRUdHKzk5WZK0Zs0apaenKzs7W0OHDtWSJUuUnJysAwcOqGvXrpc138Y6+eZJ7b1tr2R4tjuPOrX3tr3q93o/Rdwa4ZO5AcDFeL+CVTTqDFBYWJg6d+582S8+btw4LVq0SLfccoup/tnZ2erZs6eefvppXXvttUpLS9Ntt92mZ555xt1n8eLFmjFjhqZPn66+ffsqOztbwcHBWr58+WXPtzGMKkNFs4pqvJmcf/L8f4pmF8moqq0DADQf3q9gJY06A7Rw4ULNnTtXK1eubNbv+ykoKFBiYqJHW3JysmbPni1Jqqys1I4dO5SRkeF+3s/PT4mJiSooKKhzXKfTKafT6d52OBySJJfLJZfLdVlzLttUJue3zro7GJLzG6dOf3xaoSNCL+u12poLtb/cn0FbV+Wqcv/Z5XLJ3+Xvw9m0fKyruvF+1XisK/O8WauGjNmoAPT000/r0KFDioyMVFxcnAICAjye37lzZ2OGvaTi4mJFRkZ6tEVGRsrhcOj777/Xd999p6qqqlr77N+/v85xs7KylJmZWaN9w4YNlx3wAjYHKFiXHmPbum1ylfMXpza5ubm+nkLLdk4K1fn/GW3cuFEK8vF8WgnWVU28X10+1pV53qhVRUWF6b6NCkAN/bUYLV1GRobS09Pd2w6HQ7GxsRozZsxlf5ljWYcy7Vm855L9howbwr+ofsTlcik3N1dJSUk1QjZ+UFVepUIVSpJGjx6toE4koPqwrurG+1Xjsa7M82atLlzBMaNRAWjevHmN2e2yRUVFqaSkxKOtpKREISEhat++vfz9/eXv719rn6ioqDrHtdvtstvtNdoDAgIu+4fTZVQX2bvZ5TzqrP26uk2yd7PzEdN6NMXPoS3zC/jhVj5qZR61qon3q8vHujLPG7VqyHit6osQExISlJeX59GWm5urhIQESVJgYKAGDRrk0ae6ulp5eXnuPs3N5m9Tr6W9/r3x4yfP/6fXkl68mQDwOd6vYCWmA1Dnzp116tQp0wN3795dX3/9db19zp49q927d2v37t2Szn/Mfffu3Tpy5Iik85empk6d6u5///3368svv9ScOXO0f/9+/elPf9Lf//53Pfzww+4+6enpeuGFF7Ry5Urt27dPDzzwgMrLyzV9+nTTc29qEbdGqN/r/RQYE+jRbu9m5yOlAFoU3q9gFaYvgZWWlmrdunUKDTV33ff06dOqqqqqt8/27ds1atQo9/aF+3BSU1OVk5Oj48ePu8OQJPXs2VPvv/++Hn74YS1dulTdunXTiy++6P4OIEmaNGmSTp48qblz56q4uFjx8fFav359jRujm1vErREKSwzTltAtkqRr371WXcd15V9SAFoc3q9gBQ26Byg1NbVJX3zkyJEyjLq/T6K2b3keOXKkdu3aVe+4aWlpSktLu9zpNbmL3zxCh4fyZgKgxeL9Cm2d6QD049/3BQAA0Fo16lNgkpSXl1frL0O12Wx66aWXmmRyAAAA3tCoAJSZmakFCxZo8ODBio6Ols3GqVEAANB6NCoAZWdnKycnR3fddVdTzwcAAMDrGvU9QJWVlRo2bFhTzwUAAKBZNCoA3XPPPVq1alVTzwUAAKBZmL4EdvHvyqqurtZf/vIXffTRRxowYECNr55evHhx080QAACgiZkOQD/+7p34+HhJ0p49nr84jxuiAQBAS2c6AH388cfenAcAAECzaVW/DBUAAKApEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDltIgAtGzZMsXFxSkoKEhDhw7Vtm3b6uw7cuRI2Wy2Go/x48e7+0ybNq3G82PHjm2OQwEAAK1AO19PYM2aNUpPT1d2draGDh2qJUuWKDk5WQcOHFDXrl1r9H/zzTdVWVnp3j59+rQGDhyo22+/3aPf2LFjtWLFCve23W733kEAAIBWxedngBYvXqwZM2Zo+vTp6tu3r7KzsxUcHKzly5fX2r9z586KiopyP3JzcxUcHFwjANntdo9+YWFhzXE4AACgFfDpGaDKykrt2LFDGRkZ7jY/Pz8lJiaqoKDA1BgvvfSSJk+erA4dOni05+fnq2vXrgoLC9Po0aO1aNEidenSpdYxnE6nnE6ne9vhcEiSXC6XXC5XQw+rTlWuKvefXS6X/F3+TTZ2W3Sh9k35M2iLWFcNw7oyh3XVMKwr87xZq4aM6dMAdOrUKVVVVSkyMtKjPTIyUvv377/k/tu2bdOePXv00ksvebSPHTtWt956q3r27KlDhw7pscce07hx41RQUCB//5p/ibOyspSZmVmjfcOGDQoODm7gUdXjnBSqUEnSxo0bpaCmG7oty83N9fUUWjbWVaOwri6BddUorCvzvFGriooK031thmEYTT4Dk44dO6af/OQn+vTTT5WQkOBunzNnjjZt2qStW7fWu/99992ngoICff755/X2+/LLL3XVVVfpo48+0s0331zj+drOAMXGxurUqVMKCQlp4FHVraq8SoVhhZKkQScGKagT7yj1cblcys3NVVJSkgICAnw9nRaLddUwrCtzWFcNw7oyz5u1cjgcCg8PV1lZ2SX//+3TM0Dh4eHy9/dXSUmJR3tJSYmioqLq3be8vFyrV6/WggULLvk6V155pcLDw1VUVFRrALLb7bXeJB0QENCkPxy/gB9uuWrqsdsyalU/1lXjUKv6sa4ah1qZ541aNWQ8n94EHRgYqEGDBikvL8/dVl1drby8PI8zQrV57bXX5HQ6deedd17ydb799ludPn1a0dHRlz1nAADQ+vn8U2Dp6el64YUXtHLlSu3bt08PPPCAysvLNX36dEnS1KlTPW6SvuCll15SSkpKjRubz549q0ceeUSFhYX66quvlJeXp4kTJ6pXr15KTk5ulmMCAAAtm8+/B2jSpEk6efKk5s6dq+LiYsXHx2v9+vXuG6OPHDkiPz/PnHbgwAFt2bJFGzZsqDGev7+/Pv/8c61cuVKlpaWKiYnRmDFjtHDhQr4LCAAASGoBAUiS0tLSlJaWVutz+fn5Ndp69+6tuu7dbt++vT788MOmnB4AAGhjfH4JDAAAoLkRgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOUQgAAAgOW0iAC0bNkyxcXFKSgoSEOHDtW2bdvq7JuTkyObzebxCAoK8uhjGIbmzp2r6OhotW/fXomJiTp48KC3DwMAALQSPg9Aa9asUXp6uubNm6edO3dq4MCBSk5O1okTJ+rcJyQkRMePH3c/vv76a4/nn3rqKf3xj39Udna2tm7dqg4dOig5OVnnzp3z9uEAAIBWwOcBaPHixZoxY4amT5+uvn37Kjs7W8HBwVq+fHmd+9hsNkVFRbkfkZGR7ucMw9CSJUv0+OOPa+LEiRowYIBefvllHTt2TGvXrm2GIwIAAC1dO1++eGVlpXbs2KGMjAx3m5+fnxITE1VQUFDnfmfPnlWPHj1UXV2tG264Qb/73e/Ur18/SdLhw4dVXFysxMREd//Q0FANHTpUBQUFmjx5co3xnE6nnE6ne9vhcEiSXC6XXC7XZR/nBVWuKvefXS6X/F3+TTZ2W3Sh9k35M2iLWFcNw7oyh3XVMKwr87xZq4aM6dMAdOrUKVVVVXmcwZGkyMhI7d+/v9Z9evfureXLl2vAgAEqKyvTH/7wBw0bNkx79+5Vt27dVFxc7B7jx2NeeO7HsrKylJmZWaN9w4YNCg4Obsyh1e6cFKpQSdLGjRuloEv0hyQpNzfX11No2VhXjcK6ugTWVaOwrszzRq0qKipM9/VpAGqMhIQEJSQkuLeHDRuma6+9Vn/+85+1cOHCRo2ZkZGh9PR097bD4VBsbKzGjBmjkJCQy57zBVXlVSpUoSRp9OjRCurEO0p9XC6XcnNzlZSUpICAAF9Pp8ViXTUM68oc1lXDsK7M82atLlzBMcOnASg8PFz+/v4qKSnxaC8pKVFUVJSpMQICAnT99derqKhIktz7lZSUKDo62mPM+Pj4Wsew2+2y2+21jt2UPxy/gB9uuWrqsdsyalU/1lXjUKv6sa4ah1qZ541aNWQ8n94EHRgYqEGDBikvL8/dVl1drby8PI+zPPWpqqrSF1984Q47PXv2VFRUlMeYDodDW7duNT0mAABo23x+CSw9PV2pqakaPHiwhgwZoiVLlqi8vFzTp0+XJE2dOlU/+clPlJWVJUlasGCB/uM//kO9evVSaWmpfv/73+vrr7/WPffcI+n8J8Rmz56tRYsW6eqrr1bPnj31X//1X4qJiVFKSoqvDhMAALQgPg9AkyZN0smTJzV37lwVFxcrPj5e69evd9/EfOTIEfn5/XCi6rvvvtOMGTNUXFyssLAwDRo0SJ9++qn69u3r7jNnzhyVl5fr3nvvVWlpqYYPH67169fX+MJEAABgTT4PQJKUlpamtLS0Wp/Lz8/32H7mmWf0zDPP1DuezWbTggULtGDBgqaaIgAAaEN8/kWIAAAAzY0ABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALIcABAAALKdFBKBly5YpLi5OQUFBGjp0qLZt21Zn3xdeeEE33XSTwsLCFBYWpsTExBr9p02bJpvN5vEYO3astw8DAAC0Ej4PQGvWrFF6errmzZunnTt3auDAgUpOTtaJEydq7Z+fn68pU6bo448/VkFBgWJjYzVmzBgdPXrUo9/YsWN1/Phx9+PVV19tjsMBAACtgM8D0OLFizVjxgxNnz5dffv2VXZ2toKDg7V8+fJa+//tb3/Tr371K8XHx6tPnz568cUXVV1drby8PI9+drtdUVFR7kdYWFhzHA4AAGgF2vnyxSsrK7Vjxw5lZGS42/z8/JSYmKiCggJTY1RUVMjlcqlz584e7fn5+eratavCwsI0evRoLVq0SF26dKl1DKfTKafT6d52OBySJJfLJZfL1dDDqlOVq8r9Z5fLJX+Xf5ON3RZdqH1T/gzaItZVw7CuzGFdNQzryjxv1qohY/o0AJ06dUpVVVWKjIz0aI+MjNT+/ftNjfHb3/5WMTExSkxMdLeNHTtWt956q3r27KlDhw7pscce07hx41RQUCB//5p/ibOyspSZmVmjfcOGDQoODm7gUdXjnBSqUEnSxo0bpaCmG7oty83N9fUUWjbWVaOwri6BddUorCvzvFGriooK0319GoAu1xNPPKHVq1crPz9fQUE//O2cPHmy+8/XXXedBgwYoKuuukr5+fm6+eaba4yTkZGh9PR097bD4XDfWxQSEtJk860qr1KhCiVJo0ePVlAn3lHq43K5lJubq6SkJAUEBPh6Oi0W66phWFfmsK4ahnVlnjdrdeEKjhk+DUDh4eHy9/dXSUmJR3tJSYmioqLq3fcPf/iDnnjiCX300UcaMGBAvX2vvPJKhYeHq6ioqNYAZLfbZbfba7QHBAQ06Q/HL+CHW66aeuy2jFrVj3XVONSqfqyrxqFW5nmjVg0Zz6c3QQcGBmrQoEEeNzBfuKE5ISGhzv2eeuopLVy4UOvXr9fgwYMv+TrffvutTp8+rejo6CaZNwAAaN18/imw9PR0vfDCC1q5cqX27dunBx54QOXl5Zo+fbokaerUqR43ST/55JP6r//6Ly1fvlxxcXEqLi5WcXGxzp49K0k6e/asHnnkERUWFuqrr75SXl6eJk6cqF69eik5OdknxwgAAFoWn98DNGnSJJ08eVJz585VcXGx4uPjtX79eveN0UeOHJGf3w857fnnn1dlZaVuu+02j3HmzZun+fPny9/fX59//rlWrlyp0tJSxcTEaMyYMVq4cGGtl7kAAID1+DwASVJaWprS0tJqfS4/P99j+6uvvqp3rPbt2+vDDz9sopkBAIC2yOeXwAAAAJobAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAAFgOAQgAADQLo8pQ2aYyBWwOUNmmMhlVhs/m0iIC0LJlyxQXF6egoCANHTpU27Ztq7f/a6+9pj59+igoKEjXXXedPvjgA4/nDcPQ3LlzFR0drfbt2ysxMVEHDx705iEAAIB6nHzzpArjCrUnaY+CFwdrT9IeFcYV6uSbJ30yH58HoDVr1ig9PV3z5s3Tzp07NXDgQCUnJ+vEiRO19v/00081ZcoU3X333dq1a5dSUlKUkpKiPXv2uPs89dRT+uMf/6js7Gxt3bpVHTp0UHJyss6dO9dchwUAAP7t5Jsntfe2vXJ+6/Rodx51au9te30Sgto1+yv+yOLFizVjxgxNnz5dkpSdna33339fy5cv16OPPlqj/9KlSzV27Fg98sgjkqSFCxcqNzdXzz33nLKzs2UYhpYsWaLHH39cEydOlCS9/PLLioyM1Nq1azV58uTmO7gfMQxDsp3/4Vd//72qA6t9NpfWoNrlkq2yUtUVFaoOCPD1dFqs6u+rWFcNwLoyh3XVMKyruhlVhopm7ZXklGwXPxEoGTbJJhXNLlL4xHDZ/G11DdPkbIZh+OwCXGVlpYKDg/X6668rJSXF3Z6amqrS0lK9/fbbNfbp3r270tPTNXv2bHfbvHnztHbtWn322Wf68ssvddVVV2nXrl2Kj4939xkxYoTi4+O1dOnSGmM6nU45nT+kUofDodjYWJ06dUohISFNcqyS5Dp1Vl+PGtZk4wEA0FqV/O8SybC7t/vn9lfoiNDLGtPhcCg8PFxlZWWX/P+3T88AnTp1SlVVVYqMjPRoj4yM1P79+2vdp7i4uNb+xcXF7ucvtNXV58eysrKUmZlZo33Dhg0KDg42dzAm2CordXWTjQYAQNuxbd02ucpdlzVGRUWF6b4+vwTWEmRkZCg9Pd29feEM0JgxY5r0DJBhGKocPVobN27U6NGjFdCO8tfH9a9/USuTqJV51Mo8amUetaqbY4tDeyf8s+YTRqDH5pBxQ5rkDJBZPv0phYeHy9/fXyUlJR7tJSUlioqKqnWfqKioevtf+G9JSYmio6M9+lx8Sexidrtddru9RntAQIACmvhari0kREZgoOwhIU0+dlvj53JRK5OolXnUyjxqZR61qlv42BDZf/KtnEedUm033dgkeze7uozqctn3ADWk9j79FFhgYKAGDRqkvLw8d1t1dbXy8vKUkJBQ6z4JCQke/SUpNzfX3b9nz56Kiory6ONwOLR169Y6xwQAAN5h87ep19Je/9748ZPn/9NrSa9mvQFaagEfg09PT9cLL7yglStXat++fXrggQdUXl7u/lTY1KlTlZGR4e4/a9YsrV+/Xk8//bT279+v+fPna/v27UpLS5Mk2Ww2zZ49W4sWLdI777yjL774QlOnTlVMTIzHjdYAAKB5RNwaoX6v95P9J55XW+zd7Or3ej9F3BrR7HPy+YXKSZMm6eTJk5o7d66Ki4sVHx+v9evXu29iPnLkiPz8fshpw4YN06pVq/T444/rscce09VXX621a9eqf//+7j5z5sxReXm57r33XpWWlmr48OFav369goKCmv34AADA+RAUPjFcpz8+rW3rtmnIuCFNctmrsXwegCQpLS3NfQbnx/Lz82u03X777br99tvrHM9ms2nBggVasGBBU00RAABcJpu/TaEjQuUqdyl0RKjPwo/UAi6BAQAANDcCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsJwW8U3QLY1hnP91tQ6Ho8nHdrlcqqiokMPh4DcGXwK1Mo9amUetzKNW5lEr87xZqwv/377w//H6EIBqcebMGUlSbGysj2cCAAAa6syZMwoNDa23j80wE5Msprq6WseOHVPHjh1lszXt7ylxOByKjY3VN998o5CQkCYdu62hVuZRK/OolXnUyjxqZZ43a2UYhs6cOaOYmBiPX6ReG84A1cLPz0/dunXz6muEhITwl8QkamUetTKPWplHrcyjVuZ5q1aXOvNzATdBAwAAyyEAAQAAyyEANTO73a558+bJbrf7eiotHrUyj1qZR63Mo1bmUSvzWkqtuAkaAABYDmeAAACA5RCAAACA5RCAAACA5RCAAACA5RCAvGDZsmWKi4tTUFCQhg4dqm3bttXb/7XXXlOfPn0UFBSk6667Th988EEzzdT3GlKrnJwc2Ww2j0dQUFAzztY3Nm/erAkTJigmJkY2m01r16695D75+fm64YYbZLfb1atXL+Xk5Hh9ni1FQ+uVn59fY13ZbDYVFxc3z4R9JCsrSz/96U/VsWNHde3aVSkpKTpw4MAl97Pi+1VjamXV9ytJev755zVgwAD3Fx0mJCRo3bp19e7ji3VFAGpia9asUXp6uubNm6edO3dq4MCBSk5O1okTJ2rt/+mnn2rKlCm6++67tWvXLqWkpCglJUV79uxp5pk3v4bWSjr/zaHHjx93P77++utmnLFvlJeXa+DAgVq2bJmp/ocPH9b48eM1atQo7d69W7Nnz9Y999yjDz/80MszbRkaWq8LDhw44LG2unbt6qUZtgybNm3SzJkzVVhYqNzcXLlcLo0ZM0bl5eV17mPV96vG1Eqy5vuVJHXr1k1PPPGEduzYoe3bt2v06NGaOHGi9u7dW2t/n60rA01qyJAhxsyZM93bVVVVRkxMjJGVlVVr/zvuuMMYP368R9vQoUON++67z6vzbAkaWqsVK1YYoaGhzTS7lkmS8dZbb9XbZ86cOUa/fv082iZNmmQkJyd7cWYtk5l6ffzxx4Yk47vvvmuWObVUJ06cMCQZmzZtqrOPld+vLmamVrxfeQoLCzNefPHFWp/z1briDFATqqys1I4dO5SYmOhu8/PzU2JiogoKCmrdp6CgwKO/JCUnJ9fZv61oTK0k6ezZs+rRo4diY2Pr/ReFlVl1TV2u+Ph4RUdHKykpSZ988omvp9PsysrKJEmdO3eusw9r6zwztZJ4v5KkqqoqrV69WuXl5UpISKi1j6/WFQGoCZ06dUpVVVWKjIz0aI+MjKzzfoLi4uIG9W8rGlOr3r17a/ny5Xr77bf117/+VdXV1Ro2bJi+/fbb5phyq1HXmnI4HPr+++99NKuWKzo6WtnZ2XrjjTf0xhtvKDY2ViNHjtTOnTt9PbVmU11drdmzZ+vGG29U//796+xn1feri5mtldXfr7744gtdccUVstvtuv/++/XWW2+pb9++tfb11brit8Gj1UhISPD4F8SwYcN07bXX6s9//rMWLlzow5mhNevdu7d69+7t3h42bJgOHTqkZ555Rq+88ooPZ9Z8Zs6cqT179mjLli2+nkqLZ7ZWVn+/6t27t3bv3q2ysjK9/vrrSk1N1aZNm+oMQb7AGaAmFB4eLn9/f5WUlHi0l5SUKCoqqtZ9oqKiGtS/rWhMrX4sICBA119/vYqKirwxxVarrjUVEhKi9u3b+2hWrcuQIUMss67S0tL03nvv6eOPP1a3bt3q7WvV96sLGlKrH7Pa+1VgYKB69eqlQYMGKSsrSwMHDtTSpUtr7eurdUUAakKBgYEaNGiQ8vLy3G3V1dXKy8ur89pnQkKCR39Jys3NrbN/W9GYWv1YVVWVvvjiC0VHR3trmq2SVddUU9q9e3ebX1eGYSgtLU1vvfWWNm7cqJ49e15yH6uurcbU6ses/n5VXV0tp9NZ63M+W1devcXaglavXm3Y7XYjJyfH+Oc//2nce++9RqdOnYzi4mLDMAzjrrvuMh599FF3/08++cRo166d8Yc//MHYt2+fMW/ePCMgIMD44osvfHUIzaahtcrMzDQ+/PBD49ChQ8aOHTuMyZMnG0FBQcbevXt9dQjN4syZM8auXbuMXbt2GZKMxYsXG7t27TK+/vprwzAM49FHHzXuuusud/8vv/zSCA4ONh555BFj3759xrJlywx/f39j/fr1vjqEZtXQej3zzDPG2rVrjYMHDxpffPGFMWvWLMPPz8/46KOPfHUIzeKBBx4wQkNDjfz8fOP48ePuR0VFhbsP71fnNaZWVn2/Mozzf8c2bdpkHD582Pj888+NRx991LDZbMaGDRsMw2g564oA5AXPPvus0b17dyMwMNAYMmSIUVhY6H5uxIgRRmpqqkf/v//978Y111xjBAYGGv369TPef//9Zp6x7zSkVrNnz3b3jYyMNH72s58ZO3fu9MGsm9eFj2n/+HGhNqmpqcaIESNq7BMfH28EBgYaV155pbFixYpmn7evNLReTz75pHHVVVcZQUFBRufOnY2RI0caGzdu9M3km1FtNZLksVZ4vzqvMbWy6vuVYRjGL3/5S6NHjx5GYGCgERERYdx8883u8GMYLWdd2QzDMLx7jgkAAKBl4R4gAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOQQgAABgOe18PQEAaA4jR47UgAEDFBQUpBdffFGBgYG6//77NX/+fF9PDYAPcAYIgGWsXLlSHTp00NatW/XUU09pwYIFys3N9fW0APgAvwwVgCWMHDlSVVVV+p//+R9325AhQzR69Gg98cQTPpwZAF/gDBAAyxgwYIDHdnR0tE6cOOGj2QDwJQIQAMsICAjw2LbZbKqurvbRbAD4EgEIAABYDgEIAABYDgEIAABYDp8CAwAAlsMZIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDkEIAAAYDn/HxAfQLZcbNUBAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"#registration no: 12108039\n",
"x = np.array([8,0,3,9])\n",
"h = np.array([1,2,1,0])\n",
"m = x.size\n",
"n = h.size\n",
"X = np.append(x,np.zeros((1,n)))\n",
"H = np.append(x,np.zeros((1,m)))\n",
"\n",
"Y = [] # convoluted signal\n",
"for i in range(1,n+m-1):\n",
" Y.append(0)\n",
" for j in range(1,m):\n",
" if i-j+1>0:\n",
" Y[i-1] = Y[i-1] + H[i-j-1]\n",
"\n",
"plt.stem(x,'-b^')\n",
"plt.xlabel('n')\n",
"plt.ylabel('x[n]')\n",
"plt.grid()\n",
"plt.title('x[n] signal plot')\n",
"plt.show()\n",
"\n",
"plt.stem(h,'-ms')\n",
"plt.xlabel('n')\n",
"plt.ylabel('h[n]')\n",
"plt.grid()\n",
"plt.title('h[n] signal plot')\n",
"plt.show()\n",
"\n",
"plt.stem(Y,'-ro')\n",
"plt.title('Convolution of Two Signals')\n",
"plt.ylabel('y[n]')\n",
"plt.xlabel('n')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\left( \\frac{1}{s + 12}, \\ -12, \\ \\text{True}\\right)$"
],
"text/plain": [
"⎛ 1 ⎞\n",
"⎜──────, -12, True⎟\n",
"⎝s + 12 ⎠"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"t,s = sym.symbols('t, s')\n",
"\n",
"#registration no: 12108039\n",
"a=3+9\n",
"f = sym.exp(-a*t)\n",
"sym.laplace_transform(f, t, s)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5 a"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"#registration no: 12108039\n",
"reg_no = np.array([1,2,1,0,8,0,3,9])\n",
"t = np.arange(-2,5+1)\n",
"plt.stem(t, reg_no)\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5 b"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"#registration no: 12108039\n",
"reg_no = np.array([1,2,1,0,8,0,3,9])\n",
"t = np.arange(-2,5+1)\n",
"plt.stem(t, reg_no)\n",
"plt.grid()\n",
"plt.xlabel('Dhruva Shaw_1210')\n",
"plt.ylabel('Dhruva Shaw_8039')\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5 c"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"delay_unit = -3\n",
"\n",
"reg_no = np.array([1,2,1,0,8,0,3,9])\n",
"t = np.arange(-2,5+1)\n",
"\n",
"plt.stem(t-delay_unit, reg_no)\n",
"plt.grid()\n",
"plt.title('Dhruva Shaw_Shifted Signal')\n",
"plt.xlabel('Dhruva Shaw_1210')\n",
"plt.ylabel('Dhruva Shaw_8039')\n",
"plt.show()"
]
}
],
"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": "3.8.0"
},
"vscode": {
"interpreter": {
"hash": "8bd81841b232371bafeaf74d8d59ff2b2ffa20ea269da194d12a68afdfd8a225"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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