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@prof7bit
Last active May 16, 2024 13:14
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phase_error
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"matplotlib.rcParams['figure.figsize'] = (12, 6)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"PLL_GAIN = 1\n",
"\n",
"\"\"\"\n",
"approximate phase error WITHOUT trigonometry,\n",
"only multiplication and division. Useful for\n",
"implementing software PLL on cheap MCUs.\n",
"\"\"\"\n",
"def phase_error(i, q):\n",
" scale = abs(i) + abs(q)\n",
" if (q > 0):\n",
" phase_error = -i * PLL_GAIN / scale + PLL_GAIN\n",
" else:\n",
" phase_error = i * PLL_GAIN / scale - PLL_GAIN\n",
" return phase_error"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"x = range(-360, 360)\n",
"xx = [math.pi * n/180 for n in x]\n",
"i = [math.cos(x) for x in xx]\n",
"q = [math.sin(x) for x in xx]\n",
"a = [phase_error(i,q) for i,q in zip(i, q)]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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yiVPjCA9ndsMoZBjGEeAm0E0pdcKJ5xbRyfXruj551y7o3BmGDHFeW7iwkBkZIcS77N0LderAnTswbhy0bm2dJFVmlkUk7dmzx+wQws1ZyfJBIJ1S6rlhGJWAJUDmkJ5oGEYboA1A2rRpnRSeiDI2boSGDfWq8blzddJsFXKREUK8i1IwZozezS1VKr1tdZ48ZkcVMhnH7EIp9Z/WbcKxIrJWzyndMJRST5VSz1/9fRXgaRhGiNsMKaXGK6XyKqXyJjVjpa9wTTYbDBgA5crpFeL79lkrUQZJloUQofP11buJdugAZcvq+mQrJsoyjtlNzJgxefDgQYSSNxExSikePHhAzJgxw/V1TplZNgwjOXBHKaUMw8iPTtIfOOPcIhp49Ai++AJWrtR9k8eNg7hxzY7qv2T2QAgRktOn9W58p05B//7Qsye4WbSzq4xjdpM6dWquX7/OvXv3zA4lWokZMyapU6cO19fYJVk2DGM2UAJIYhjGdeBnwBNAKTUWqAN8ZRhGEPASaKDkrZSwhwMHdG3fjRswahR89ZX1B3P50RdCvDZ/PrRsCTFj6sV8ZcqYHVHYyDgWaZ6enmTIkMHsMEQY2KsbRsP3PP4n8Kc9ziUEoAfqCROgUydIlsz5W75GhNy+FEK8FhgI3bvDH39AoUIwbx6Ec7bLFDKOiWjIovd5hHgHPz89E9OmDXz+uTlbvkaEXGSEEAC3bkHJkjpR/vpr2LLFNRJlsP6dOyEcwJmt44SIvBs3oGZNvYDvp5/0h7u72VGFjVxkhBB79ugdRR8/hjlzoH59syMKH3nTL6IhSZaF69i5U19kfH1hyRJwwP7vTiEXGSGipylT9Fb3qVLpPvA5c5odUcTJOCaiESnDEK7hr7+gRAnw9obdu10zUZYZGSGip8BAvUFSixZQtKi+M+aqibKMYyIakmRZWFtgoO472qaNrvHbuxc+/tjsqCJGyjCEiH7u34fy5WHECL3ZyNq1kDix2VFFnIxjIhqSMgxhXQ8f6t6jW7bAd9/BoEGuU58cEpmRESJ6OXkSqlSBmzd1CUazZmZHFHkyjoloSJJlYU0XL0KlSnDpEkyfrne2iirkIiNE1Ld5s16MHDMmbN3qGh17wkPGMRGNSBmGsJ49e6BgQbh7FzZsiDqJsszICBE9TJumSy9SptRrLKJSoizjmIiGJFkW1rJw4f8X8u3aBcWKmR2R/UitnxBRm1Lg46PLLYoV0x180qc3Oyr7knFMREOSLAvrGDYM6taF3Ln1bEzWrGZH5BgyIyNE1BMYCM2bQ58+OllevRoSJDA7KvuTmWURDUmyLMynFPTqBd9+q/sob9oESZOaHZX9yUVGiKjp5Utdnzxtmp5ZnjwZvLzMjsqxZBwT0Ygs8BPmstn0dq+jRkHr1jBmjGt3vHgXSZaFiHqePoVq1WDbNhg9Gr76yuyIHEvGMRENSbIszBMUpJv0z5gB3brBkCFRux4uKn9vQkRHDx5AxYpw8KDu2tO4sdkROZ6MYyIakmRZmMPfHxo00NtWDxgAPXtGn0FYZmSEcH23bkHZsnD+PCxeDFWrmh2Rc8k4JqIRSZaF8wUEQL16sGwZjBwJHTuaHZFzyO1LIaKGO3egVCm4dk0v5CtZ0uyInEfGMRENSbIsnCswEBo21Inyn3/qrayjC7nICOH67t2D0qXh6lWdKBcvbnZEzhVd7gAK8QZJloXzBAXpDUYWLYI//oheiTLIRUYIV/fgAZQpAxcuwMqV0S9RBnnTL6IlSZaFcyilu13Mmwe//gqdO5sdkXnkIiOE63n+HCpUgDNnYPlyXYYRnck4JqIRSZaFc/TqBVOm6B6kXbuaHY05ZEZGCNcUEAC1a8OhQ3pRctmyZkdkHhnHRDQkybJwvJEjYdAgaNsWfvrJ7GjMI2UYQrgemw1atYJ162DiRKhSxeyIzCXjmIiGZAc/4Vjz5umSixo19MYj0XmglRkZIVxPjx66F3z//tCypdnRmE/GMRENSbIsHGfvXmjaFAoXhlmzou7OfOElFxkhXMNff8HQodC+Pfzwg9nRWIuMYyIakWRZOMatW1CzJqRIoWv8YsUyOyLzyYyMEK5jxw7dsadcORgxInrfFXuTjGMiGpKaZWF//v56Mczjx7BrFyRJYnZE1iAXWyFcw/XregxLlw7mzJG7Ym+ScUxEQ5IsC/tSSs/G7NoFCxZAzpxmR2Q9MiMjhHW9fKnvivn6wqZNkDCh2RFZi8wsi2hIkmVhX5Mn6xXjvXvrmRnxf3KREcL6unSB/ft1+Vj27GZHY10yjoloRGqWhf1cuABffw0lS0KfPmZHYz2SLAthbcuWwfjx0L07VK9udjTWJOOYiIYkWRb2ERQEX3wBnp4wdSq4yY+WEMKF3LkDX34JuXJB375mR2NdUrMsoiG7ZDSGYUwyDOOuYRjHQ3ncMAxjhGEY5w3DOGoYxmf2OK+wkEGDdJ3y6NGQJo3Z0VibzMgIYS1K6Y1Hnj6FmTMhRgyzI7IumVkW0ZC9pv+mABXe8XhFIPOrjzbAGDudV1jBvn267KJRI2jY0OxorM0w5CIjhNWMHw8rV8Ivv8DHH5sdjWuQcUxEI3ZZ4KeU2mYYRvp3PKU6ME0ppYDdhmEkMAwjhVLqlj3Ob0+XH18myBZEbM/YxPWKi7eXN4bcdvqPFy/g2TN4ed+XlPWa4PZBSp71H0V8m1RgvJMky8IBbMrGY7/HvAh8wYvAF3i6eRLbMzbeMbyJ7Rnb7PAsRyk9fj1/DoEnzpLmm28JLFYG/2ad8FZSafBO8uIIBwiyBfHw5UOe+T8jfsz4JIltrZazzuqGkQq49sa/r7/6nOWS5VbLWrHp0qZ//h3XKy5p46clS+IsfJb8M/KkzEPRtEWJFyOeiVE6T0AA7NmjJ48PHIBTp+DKFXj4UD8+iu9oxzlKs5EtGRMQI4auwsiUCT79FD77DIoVg+TJzf0+LEMuNCKSbj+/zfar2zlw8wCHbh/iwqMLXHtyDf9g/xCfnyhWItLFT0e2pNnIkyIPeVPmpWDqgni5ezk5cnM8far3F9m/Hw4ehLNn4epVnSh7EMh2vsCbGHzy9xRuJnQjblzdXjlLFj1+5ckDRYuCt7fZ34lFSBmGiASlFOcfnmfntZ0cuHWAI3eOcPnxZW48vUGwCgagX8l+9C7e2+RI/81ZyXJIGUKIv2mGYbRBl2qQNm1aR8YUoh+L/0iL3C3wDfDlWcAzrj+9zpUnVzh17xRLTy9FofBw86BQ6kJUzlyZhp80JG1858fpSI8f6xbJy5bpNqO+vvrzqVPDJ59AwYI6Ic55bSWVx4zhZKWuNKpRkuq+cPOmvhCdPQu//qrX/YFeM1Oxoq7SiPatl+UiI8Lp6J2jzD42m9XnV3PkzhEAPNw8yJEsB3lS5KHmRzVJETcFcb3iEsszFsG2YF4EvuCx32OuPb3G5ceX2XZlG7OOzQIgjmccSmYoSbUs1aiTvQ4JY0WtXsJXr+q9RFauhJ079ThkGDoBzpYNypbV41nJLf3Js3IvWzvO46ccqXj2TO9HcuUKnDgBixfr43l4QOHCULmyHsNkWQYyjokwC7YFs/XKVuafmM+aC2u4/PgyoMehXMlz8Xm6z0kXPx0fxP2AeDHi8VkK6y1rM5SdfuBflWGsUErlCOGxccAWpdTsV/8+A5R4XxlG3rx51f79++0Snz0883/G/pv7WX9xPWvOr+HQ7UMAFE9XnNaftabex/VcdrZGKdi4EcaMgRUr9Ixy+vQ6wS1XTl8okiV74wvu3tVZb7Jketo5hAUx/v5w5IhOuNes0bM7QUGQIwe0bKk/4sd32rdoDZ6e8N13MHCg2ZEIi3vi94TJhycz8dBEjt89jrvhTtG0RSmfqTylM5Ym1we5iOERvoVod33vsuvaLtZeWMua82u49PgSXu5eVMlSha/yfkXpDKVdtuwsIADmz9flx9u26c/lzg0VKujkOG9eiPfmDcHdu/WUcaNGMG1aiMd8+lTPSK9fD6tX6/HMMKB4cWjTBurUAS/XHPIjbs4c/Y7h5En9zkOIUFx9cpUx+8Yw/eh0bjy7QRzPOJTOWJrymcpTIn0JsibOirubdXbHNAzjgFIqb4gPKqXs8gGkB46H8lhlYDV6hrkgsDcsx8yTJ4+ysgsPL6h+W/upzCMyK3xQyX9Nrvpt7acev3xsdmhhFhCg1KRJSn38sVKgVNKkSnXurNTevUrZbKF8UXCwUhUrKhUjhlJHj4b5XPfuKTVqlFKFCulzxY2rVMeOSl29apdvxTV4eirVs6fZUQgLu/r4quq0qpOKOzCuwgdVcEJBNWrvKHX3+V27nsdms6l9N/apLqu7qKRDkip8UB+P+lhNPDhRBQQF2PVcjvT4sVL9+yuVIoUeVzJnVqpfP6UuXHjHFz16pFT69PrjcdjH6/PnlerbV6kPP9TnSpFCqQEDlHryJNLfhuuYM0d/8ydPmh2JsKgDNw+ouvPqKvc+7sqtj5uqMquKmnNsjvIN8DU7tHcC9qvQctzQHgjPBzAbXX8ciK5HbgW0A9q9etwARgEXgGNA3rAc1+rJ8mvBtmC15twaVXFGRYUPKuHghGrAtgHqmf8zs0MLVVCQUtOmKZUpk/4pyJ1bqSlTlHr5Mgxf/Ouv+otGjYrw+Q8cUKpZM507ennppPnmzQgfznV4eSnVo4fZUQgLuvn0puq4sqPy6uelPPt6qqaLm6oDNw845dx+gX5qyqEpKvfY3AofVKbhmdTUw1NVUHCQU84fEc+eKTVwoFIJE+rhqEIFpVav1u/l38lmU6puXaXc3ZXatStC5w4OVmrVKqXKl9fnTpRIqUGDlHr+PEKHcy1z5+pv+sQJsyMRFnP09lFVY04NhQ8qweAEqvu67urK4ytmhxVmDk+WHfXhKsnymw7cPKCqzKqi8EGl+i2VmnNsjrKFOkVrjl27lMqT5/9J8rJl75hFftvevUp5eChVs2Y4vih0V64o1aaNPmTcuEoNGaKUv3+kD2tdXl5Kff+92VEIC/EP8ldDtg9RcQfGVR59PVTrZa1Nu8DYbDa1/Mxy9enYTxU+qM/GfaZ2XYtYQukoNpue3EyVSo9hVaroN99hNn68/sLBg+0Sz759SlWqpA+ZJo1S8+fbZWi0rtfJ8vHjZkciLOLBiweq/Yr2yq2Pm4o/KL7qs6WPeuLnerdbJFk2wY6rO/654JSaWkqduGv+u/C7d5Vq2VL/r6dMqdSsWWGYhXnT/fv6tmXatEo9fGjX2M6fV6pqVR3bRx8ptX69XQ9vHTFiKNW9u9lRCIvYcGGD+ujPjxQ+qKqzqqpzD86ZHZJSSifNs47OUil/S6nwQbVY0kLdeX7H7LDUiRNKlSqlx4lPP1Vq+/ZwHuDAAaVixlSqbNlwDn7v9/ffSuXKpWMrU0apU6fsenjrmDdPf5PHjpkdiTBZsC1Y/XXgL5VkSBLl1sdNdVrVST18Yd/cwJkkWTZJUHCQGr13tEo4OKHy6uelhmwfYtptzcWLdT2yh4dS332n1NOn4TxAYKBSpUvrZG/PHkeEqJRSasUKpTJm1D+ZbdroW61RSsyYkiwL9cz/mWq7vK3CB5VxeEa14swKs0MK0VO/p+q7dd8pj74eKsmQJGrxqcWmxBEUpO86eXnpsovRo/XnwuXuXf1GP00ape44JvEPDFRq5Eil4sfXsf72m91zcvPNny/JslBXH19VpaaWUvigik4qqg7fOmx2SJEmybLJ7j6/q2rNraXwQRWfXFxdenTJaed++vT/s8mffhqJ8a1rV32QSZPsGl9IXr7U+aRh6JrqnTsdfkrniRlTv1sR0daua7vUhyM+VIaPob5b9516GRiWhQLmOn7nuPps3Gf/zDI78xbrpUtKFS+uh5+aNXXOG26BgUqVLKl///bvt3eI/3H7tlI1auiYS5TQ5WZRxoIF+hsLx+JuEXXYbDY18+hMFX9QfBVnQBw1fv94y5WaRpQkyxZgs9nU1MNTlfdAb+U90FvNOz7P4ec8cECpDBmUcnNTqlevSNQCT5mif1Q6dLBrfO+zdatS6dLp+Pv1iyIzNLFiKdWtm9lRCBME24JV/639lVsfN5VuWDq19fJWs0MKF/8gf9VrYy/l1sdNZfgjg1MWH86fr5S3t/6YMiWCtcA2m1Lt2+sxbNo0u8f4rtNOmqRjjxdP55hRwutk+cgRsyMRTvbc/7lqvLCxwgdVeGJhdf7BebNDsitJli3k8qPLqvDEwgofVLe13VRgcKBDzjN5sq6YSJNGqR07InGgdet07Ubp0rrPnJM9eaJU48b6J7VqVd3xyaXFjq1n6UW08vjlY1V1VlWFD6rRwkYuufjltZ1Xd6q0w9KqGP1iqEkHHXOnKTBQv6cE3Wry0qVIHGzIEH0gk+7oXLyoVIECOoTvv9ffm0tbuFB/M4cPmx2JcKKz98+qHKNzKLc+bqrf1n6W7pQTUZIsW4x/kL/qsLKDwgdVYkoJuy6c8fNTql07/T9bunQEb1m+duSInhb55JNw9SK1N5tN1wF6eOj+pi5dKhcnjiTL0cyxO8dU5hGZlUdfDzVyz8goccvynu89VXpqaYUPqu3ytsov0M9ux75zR1dMgJ4QjlR3nNmz9YHq1zf11pRdx2WzLVokyXI0s/zMchV/UHyV6JdEat35dWaH4zDvSpbd7Lv/iQgLL3cv/qz0J1NrTGX39d3k/ys/p+6divRxHz2C8uVh7Fjo3l3vmpc0aQQPdv06VKqkt7xatcrUrfYMAzp2hM2b4flzKFRIf28uS8k2sdHFmvNrKDSxEM8CnrG52WY65u/osjvkvSlJ7CSsabKG74t8z7gD4yg/ozyPXj6K9HFPnYICBWDXLpg6FUaNisQOeVu3QrNmeru9KVPAzbzLXYwYenfUSZNg+3b9PZ45Y1o4kfP651fGsShPKcXvu36n2uxqZEqUiQNtDlA2U1mzwzKFJMsmapqrKX+3+Bu/ID8KTyrMtivbInysy5ehSBHYuRNmzIBffgEPjwge7N49nXU/faoT5dSpIxyXPRUtCgcOwIcfQpUqMHGi2RFFgGHIRSaamHhwIlVmVSFTwkzsb72fommLmh2SXXm4eTC4zGBm1ZrFruu7KDKpCJcfX47w8bZt02PYixf6702bRiK4gwehenXImBEWL4aYMSNxMPtp0ULn8M+fQ+HCOnF2WTKORWnBtmA6r+lM13VdqZ29NttbbCd9gvRmh2UaSZZNljdlXna12kXyuMkpO70sc47PCfcxDh7Us623bsG6ddC4cSQCevQIypWDixdh2TLImTMSB7O/lCn1hbRMGfjyS/jpJxcbsyVZjvKUUvy0+Se+XP4lZTKWYVuLbaSKl8rssBym4ScNWddkHbee36LghIIcuHkg3MeYOxfKloUPPoDduyFfvkgEdOKEHsPix4e1ayFRokgczP5ez5wnTqzHsfnzzY4onKLAnRHxbi8CX1Bnfh1G7h1J10JdmVtnLrE8Y5kdlqkkWbaADAkzsKPlDgqkKkDDhQ0Zs29MmL922zb4/HN9q3LHDihRIhKBPHsGFSvCyZOwZEkkD+Y43t6wfDm0agX9+kH79mCzmR1VGMmFJkqzKRvtV7an37Z+tMzdkuUNlxMvRjyzw3K4z9N/zs6WO4npEZMSU0uE6y7Z2LHQoIFOInfsgAwZIhHIuXNQurQeEDduhLRpI3Ewx8mUSSfMefJA/frw119mRxQOUoYRpT3zf0aFGRVYenopIyqM4Ndyv+JmSKoor4BFJIqViHVfrKNKliq0X9WeYbuGvfdrNmyAChV0lcTOnZA9eyQCeP5c1zbs3w/z5ukyDAvz9NQXmB499MW2ZUsIDjY7qjCSi0yUFGwLpuXSlow9MJbuhbszodoEPN09zQ7LabIlzcbOVjtJHS81FWZUYP2F9e/9mj/+gK++0kPPunWRnAS+eFEnysHBenD88MNIHMzxEif+/xjepg2MGGF2ROEk41iU8+jlI8pOL8uu67uYXXs2nQp0Mjsky5Bk2UJiesRkYb2F1Mleh2/XfcuAbQNCfe6KFfoCkzmzroFLFZm7vI8f69uWO3bAzJm61s8FGAYMHAh9++rFQI0bQ2Cg2VG9h5RhREmBwYE0XtSYqUem0qdEHwaXGRwlFvKFV0rvlGxtvpXMiTNTdXZVVpxdEepzBw6Eb76BOnVg4cJIlhWfPg3Fiuk3/evXR3LmwHlixdIl1TVrQufOeq2J5cnMcpR0z/cepaaV4tDtQyyou4D6OeqbHZKlRHQJmHAQL3cvZteeTUyPmPTe3JsgWxA/l/j5X89Zvhxq1YLcue1Qknf/vk6Ujx/XM8q1akUqfmczDPjxR33R+e47nSzPnRuJxY2OJslylBNkC6LBwgYsOrWIIWWG8F2R78wOyVTJ4iRjc7PNlJ9Rnppza7Kw3kKqZa32r+f07Qs//wxNmsDkyZH8fT1yRBc8G4aeOfjkk8h9A04WI4Yes5o103fKgoKgVy+zo3qHaPgmMKq7/+I+paaV4vzD8yxrsIzyH1r7zrIZrJpSRGsebh5MrTEVDzcPfLb6ENsz9j8X4A0boG5d+PRTPYESqY5ut27pFSYXL8LSpbpe2UV166bLFDt31hedadPA3d3sqEIgF5ooJdgWTLMlzVh0ahHDyg+jS8EuZodkCYliJWLDFxsoN6McdefXZXnD5ZTLVA6AoUN1oty8ue5oE6mObnv26DqGuHF1jXKWLHaJ39k8PWH6dP2moXdviB1bz7pbkswsRymP/R5Tbno5zj88z8pGKymVoZTZIVmSJMsW5Wa4MaHqBF4GvqT7hu7E9oxN7sAOVK+urwdr1kQyUb58WSfKt2/D6tWWXcwXHl9/DS9f6tmZWLFg/HhTW6uGTi4yUYJN2Wi3oh2zjs1iUOlBkii/JX7M+KxpvIZS00pRY04NVjdezfGVn9O9u17UNmFCJH8/t2yBqlUhWTKdKKdPb6fIzeHurvswv3wJ336rx7B27cyO6h1kHHN5z/yfUXFmRY7fPc6yhsskUX4HSZYtzN3Nnek1p+MX5EfHiROJNas1aVJ7sX59JEsvDhyAypXB319PVRcsaLeYzfb99+Drq7tkxIqlF81YajJXyjCiBKUU36z5hgmHJvBj8R/pUbSH2SFZUsJYCVnXZB2fT/mc8t3m4L/wc6pX17OokbrzM2eOvoWUKZO+xRapRRvW4eGhl434+emFj7FjR7LftCPIzHKU8DLwJdXmVGPfjX0sqLeACh9WMDskS7PivJt4g6e7Jz7Z5+E5azMvPW7y/bj1fPBBJA64erXuNRcjhl7QF4US5df69NEzM3/+CQNCXyNpDktl7iKiBv49kBF7R/BtwW/pU6KP2eFYWtI4Seme9G/8F/2JR+ZN9Bt1Fs+INglRCn77DRo21L3mtm+PMonya15euvdymTK6y8+qVWZH9BYZw1xesC2YRosasfXyVqbVnEaNj2qYHZLlSbJscbduQfWqXiSK602Obl3ouKM6e67vidjBJk7Uty0zZ9ZNPl1kxXh4GQb8+qtePPTjj3qnW8uQmWWXN/XwVHpv7k2TnE34tdyv0bLrRXjs2QPtmycmR85AEjRtRbUF5bn9/Hb4DxQcDF266AUKdevaodecdcWMCYsWQa5c+lvdv9/siN4gM8suTSlF5zWdWXJ6CX9U+INGnzQyOySXIMmyhT1/rqslHjyA1avc2NhlPCm9U1JldhXOPTgX9gPZbDpr/PJL3Yd02za9FV4UZhj6vUGZMtC6te4aYhlykXFZ6y6s+2dnvonVJkqi/B7nzukWlylSwIa1MVnVYh53fe9SeVZlnvk/C/uBnj/XWeOIEfq20Zw5ltnC2lG8vWHlSl2SXbmyXodtKTKOuaQhO4Ywat8oviv8HV8X+NrscFyGJMsWFRQE9erB0aP6ltynn+qWTGuarAGgwswK3Hl+5/0H8vXVF5n+/fU9vRUr9CgcDXh56f6tOXJA7dp6W3DTycyyyzp46yC159UmR7IcLKy3EC93L7NDsrS7d//fYGfNGr2Vdb5U+Zhfdz5Hbh+h7vy6BAaHoTH6lStQpIju2DN8uC7DsOTKXftLnly/dsHBuunHvXtmR4TMLLuw6Uem02NjDxrmaMjgMoPNDselRI8Rx8UoBR066PLi0aP/3dHtw0QfsrLRSm4/v02V2VXwDfAN/UBXr+qLzJIl8Pvvevl5hIsFXVO8eHp2JkkSqFRJNwExlcxEuqQrj69QeVZlEsdKzMpGK6PFFtaR8eKFnlG+eVO/P8+c+f+PVcpciXFVxrH2wlrarmiLelfStX075MunE+ZVq3TLm2gma1bdW//aNV1F9/KlyQHJGOaSNl7cSMtlLSmVoRSTq0+WLazDSV4tCxoyRLc969lTb4P6tvyp8jO3zlwO3DxAi6UtQr7Y7NypLzKXLumr1TffRNtBLmVK/cbD319vTvj8uckByYyMS3ke8Jxqc6rhF+TH6sarSekdtUuYIkspaNFC19nOmaPX4b2t1Wet+Pnzn5l8eDK/7fot5ANNmAClSkHChLrwuXz03SihUCGYPRv27oVWrUweQmRm2eWce3COOvPr8FGSj1hUbxExPGKYHZLLkWTZYpYv10lygwa6ciI0VbJUYUjZIcw/OZ9+2/r9+8HJk6FkST2tunu3S282Yi/Zsuldso4fhy++0GXcppAyDJdiUzaaLm7K8bvHmVtnLtmSZjM7JMvr319vBvrLL1CtWujP+/nzn6mbvS7d13dn1bk3Wj4EBendhVq31uPY7t16ejWaq1FDbxE+ezYMtsIddBnHXMJjv8dUnV0VDzcPljVYRvyYkdmgIRpTSln2I0+ePCo6OXFCKW9vpfLkUerFi/c/32azqaaLmyp8UAtOLFDKz0+ptm2VAqVKl1bqwQPHB+1i/vhDvzy9epkUQPLkSrVubdLJRXj13thb4YP6Y9cfZofiEhYs0L9fX3yhlM32/uf7BviqT8d+qrwHeqsTd08odfeuHrtAqW++USow0PFBuxCbTanGjfXLs2SJSUGsX68D+PtvkwIQYRUUHKQqzKigPPp6qC2XtpgdjuUB+1Uo+ajMLFvEo0e6RCB2bF1iHCvW+7/GMAzGVRlHwdQF6TmlCb6F8sK4cXpnjjVromxbpcj4+mt9G3PAAH2L2OmiaSmMK5p7fC79/+5Pq09byarxMDh8WG+gUbCgLiMLy496bM/YLG2wlNiesflxUDmCP82t65QnTdLrLDxk36w3GQb89ZeusGvcGI4dMykIkJllF9B9fXfWnF/DqEqj+Dz952aH49IkWbaAoCBddnHliu7ekDp12L82pkdMVibvyq7RAdhOnuDJzEn6Hp1cZEJkGHrRZLFi/6+rdDq5yFjegZsHaL60OUXTFmV05dHSIu497t7Vb/YTJYLFi8PX1S1NvNTs9G/C7BE3uBPwkKAdf+tfThGiWLH0hEr8+LrM5f59kwKRcczSphyewu+7f6dT/k60yRPC4icRLpIsW0CPHrq//ujRunlFmCkFQ4aQqFp9YqdMR7F2XtQMnE6QLchhsUYFr1vKJUumW8o59WIjNcuW9+DFA2rPq03S2EmlRVwYvH6zf/euTuKSJw/HF/v6QtOmZOz9G3cK5+Ljln70fDDPUaFGGSlT6tf61i29mWFwsBNPLjPLlnfw1kHarWhH6Qyl+b3872aHEyVIsmyy+fN129AOHfSeIWH29CnUqaNLLmrXJtbBo3zbYjybL2+m96beDos3qkiaVCfMt2/r25lOu9hIsmxpNmXji8VfcOv5LRbWW0iyOMnMDsnyfvoJNm+GMWMgT55wfOG5c7rNw8yZ0K8fabYcpFGx9vy661cWnlzosHijinz5YNQo2LABfv7ZiSeWuyyW9ujlI/1mP05SZteejYeb3GW2B7sky4ZhVDAM44xhGOcNw+gRwuMlDMN4YhjG4VcfP9njvK7u7FldP1uggC7PC7MTJyB/ft2k/7ffdJuHuHFpmqspbfO05Zcdv7Dk9BJHhR1l5M0LI0fqWf0+fZx0UrnQWNqAbQNYfX41wysMJ1+qfGaHY3nLl8OgQbpxRfPm4fjCJUv0L+DNm3p9Re/e4ObG7+V/J3+q/LRY2oIz9884KOqoo1Wr/6/BWL7cSSeVmWXLsikbTZc05cbTG8yvO5+kcZKaHVKUEelk2TAMd2AUUBHIDjQ0DCN7CE/9WymV+9VH38ie19W9eKEnhr28dJslr7De6Z01SyfKjx7pKYVvv/1XAja8wnDypcxHsyXNwrcldjT1+iLfr5/evMQp5CJjSesurOPnLT/zRc4vaJunrdnhWN7Fi7oN42ef6V2owyQoSNed1ayp28EdOADlyv3zcAyPGCyou4AYHjGoNa8WzwPMbopufSNH6h1ev/jCyVtiyzhmOYO3D2bF2RUMKz+MgqkLmh1OlGKPmeX8wHml1EWlVAAwB6huh+NGaR076p6/M2ZA2rRh+AJ/f12r0bixvtd56BCUKPGfp8XwiMGCegvwdPOk9rza797hT/yz4C9XLn2xuXTJCSeUi4zlXH1ylUYLG/Fxso8ZW2WsLOh7j5cvdb2/mxssWBDGBX137+qNRX75Bdq2hb//hnTp/vO0NPHTMLv2bE7dO0Wb5W3evcOfIFYsXVLm5qb/Txy+w5/MLFvSxosb+XHzjzTM0ZD2+dqbHU6UY49kORVw7Y1/X3/1ubcVMgzjiGEYqw3D+NgO53VZkybpfUN694YKFcLwBVeu6PYNo0dDt26wcaNe4RGKtPHTMqv2LI7fPU6HVR3sF3gU9fpiY7Pp2X5/fweeTJIwy/EP8qfu/LoEBAewsN5CYnvGNjsky+vUSbeKmz4dMmQIwxfs2KGnP3fuhClTYOxYiBH6LmJlMpahX8l+zD4+mzH7x9gr7CgrQwY98XLkiP6/cSgZwyzn+tPrNFzYkI+SfMT4quPlzb4D2CNZDul/5e23nAeBdEqpXMBIYEmoBzOMNoZh7DcMY/+9e/fsEJ61HDmiJ4hLlw7joozVq/V9zjNnYNEiGDoUPD3f+2XlMpXjx+I/MvXIVGYcnRH5wKO4TJn0NfzgQb2DosPIzLLldF/fnb039jKlxhSyJM5idjiWN3UqTJyo3+xXrvyeJysFw4bpu2CxY+ttq5s1C9N5ehbrSYUPK/Dt2m85eudopOOO6ipV0mPXxIkO7iEvM8uWEmQLov6C+rwMesnCeguJ6xXX7JCiJHsky9eBNG/8OzVw880nKKWeKqWev/r7KsDTMIwkIR1MKTVeKZVXKZU3adKoVZz+7JmeuUyUSJceu7u/48nBwXqZeeXKuvHy/v26zi8cfvz8R4qlLUa7Fe04++Bs5IKPBmrU0OUxw4bBihUOPJFcZCxj2ZlljNg7gi4FulArWy2zw7G8M2egfXud+/r4vOfJT59CvXp6XUWVKnoMy5kzzOdyM9yYWmMqCWMlpP6C+lJSFgY+PlC4MLRp44T6ZRnHLMFniw87r+3kr6p/8VGSj8wOJ8qyR7K8D8hsGEYGwzC8gAbAsjefYBhGcuPVfQHDMPK/Ou8DO5zbpXTooAew2bN1j99Q3bsHFSvqVWfNm8Pu3ZA5c7jP5+HmwcxaM4nhEYMGCxrgH+TI+oKoYehQXb/cvDncuOGAE8jMsmXceHqDFktb8GnyTxlcZrDZ4Viev7/upxwrlr7l/843+8eP695mixfrX6pFi/QuGuGULE4yZtScwZn7Z/h6teyi+D6env+fiGnQAAICHHASmVm2jM2XNjPw74G0zN2SBjkamB1OlBbpZFkpFQR0BNYCp4B5SqkThmG0Mwyj3aun1QGOG4ZxBBgBNFDRbNXGzJm6vu/HH6F48Xc8cdcuXXaxbRtMmKALnMOy93Uo0sRPw+Tqkzl0+xDfb/g+wseJLmLG1J34/Pwc1H9ZasksIdgWTJPFTfAP8mdOnTnE8Ai9flZoPXroOuXJkyFVSKtSXpsxQ/fDfPJEr6/o1i1SP/elM5bmh2I/MOnwJGYdmxXh40QX6dLpUox9+6BXLwecQMYwS7j/4j5NFjchS+IsjKgY1nY0IsKUUpb9yJMnj4oKLlxQyttbqSJFlAoMDOVJNptSw4cr5eGhVMaMSh08aNcYOq/urPBBLT291K7HjaqmTlUKlOrTx84HzpBBqSZN7HxQEV79tvZT+KCmHJpidiguYcUK/fvw9dfveJKfn1JffaWfWKyYUjdv2u38gcGBqsjEIsp7oLc69+Cc3Y4blbVvr/8rVq2y84F37NAHXrvWzgcWYWWz2VTVWVWVVz8vdejWIbPDiTKA/SqUfFR28HOwwEC9Hambm55d9ghpM50XL3Tfss6d9SqNAwf0ynE7+qXML3ya/FNaLG3BtSfX3v8F0VzTpvq/pE8f2LrVjgeWMgzT7bi6A58tPjT6pBFNczU1OxzLu3lTlyXlyqW7voXo2jXdsWfMmP937EmRwm4xeLh5MKv2LDzcPKSkLIx++02XiDdtqv8P7U7GMdP8ufdPlp9dztCyQ8mdPLfZ4UQLkiw72M8/w9698NdfIbYU1W3hihbVhWb9++savwQJ7B5HDI8YzK0zl4DgAL5Y/AXBNmft7+y6Ro3SXTIaN9Z7wNiFJMumevTyEY0WNSJdgnSMqTxGWiy9R3CwftP44oXusBBiP+W//9a78Z0+rXswhrFjT3iljZ+WSdUnceDWAXpv6m3340c1MWPq/7MXL3TCbLPZ6cBSs2yqw7cP0219N6pkqUKn/I7uEyhek2TZgTZvhsGD9XakdeuG8oS8efWqv+XLdYGZm+P+SzInzsyICiPYemUrw3YPc9h5ogpvb/0e5s4d3QHALiQ5M41SinYr23Hz2U1m155NvBjxzA7J8n79FTZt0rvEfRTSQvuxY6FUKf0Gf+9eqOXYjiI1PqpB2zxt+W3Xb2y5vMWh54oKsmXT3X02bgzHLovvI2OYaV4EvqDhwoYkjpWYydUny5t9J5Jk2UEePtQzMlmywPDhbz2olP5k2bKQNKm+yLy3Yal9NM/dnJof1aTXpl7SuzQM8ubVdwfmzNGJs13IjIwpZh2bxbwT8+hboi/5U+U3OxzLO3xYL0iuXRtatHjrwYAAvQvfV1/p7ar37Aklm7a/38r9xoeJPqTp4qY89nvslHO6statdee+Hj10kxK7kXHM6Xps6MHp+6eZVnMaSWKH2H1XOIgkyw7SoYOekZw1C+LEeeMBPz9dANilix7Bdu/WGbWTGIbB+KrjSRQrEY0XNcYvyM9p53ZVPXpAoUJ6dvnq1UgeTMowTHH1yVU6rOpAkTRF6F6ku9nhWJ6fHzRpAkmSwLhxb00m3rmjZ5PHj9e7YCxb5pDSsdDE8YrDjFozuPnsJh1XdXTaeV2VYejGSvHi6f/TSO9QKmUYplh3YR0j946kc4HOlMlYxuxwoh1Jlh1gzhz94eOju8D94949KFMGpk3TDy5apEcwJ0sSOwmTqk3i+N3j9NroiN5CUYuHh277Fxys3+dEqvZPkmWnsykbzZc0J1gFM63mNNzd3tUgWICuCDtxQneuTJz4jQcOH9a3Ww4e1IPcwIHvabjsGPlT5efH4j8y89hM5h6f6/Tzu5oPPtDt5I4c0XtdRYrc+ne6hy8f0mJpC7Ilycag0oPMDidakmTZzm7c0DOQBQvC92+2NT59Wn/ywAGYN0/f23dgffL7VMxckfZ52/P77t/ZdGmTaXG4ikyZ4I8/dJn5sMiUe8uFxumG7x7O5sub+aP8H2RMmNHscCxv0yb4/Xc9jlWo8MYDq1frjheGATt3Qv36psUI0Kt4LwqkKkC7le24/vS6qbG4gqpVdUnG0KGR7PAjM8tO12FVB+763mVGrRnE8oz4vgsi4iRZtiOl9GI+f389efxPm7jNm/V9/OfP9d9DXO3nfEPLDSVL4iw0W9KMRy/t1e4h6mrZUm+J/cMPcDQy5d5ykXGa43eP03NjT6plrUbLT1uaHY7lPX6s755kyQJDhrzxwNixOtvKkkWXjuXObU6Ab/Bw82B6zekEBAfQfElzbMpe7R6irt9/12/8mzbVe8ZEioxjTjH72GzmHJ9DnxJ9+CzFZ+//AuEQkizb0dixsHatfuf+z+7UU6boBTApU+qLTMGCZob4L7E9YzOj5gxuP79Nh1UdzA7H8gxDl2kmTKhr//wiUu4tZRhOExAcQJNFTYgXIx5/Vf1LVo6HQadOuifv9Omv1lrYbNC9u17IV6GCnpJMmdLsMP+ROXFmhpUfxsZLGxmxR3Yxe5+4cfX/7Y0b+v86QmRm2WmuPblG+1XtKZS6kKy1MJkky3Zy7pzuxV++vL6uoJTum9yiBZQoATt2QIYMZof5H/lS5eOn4j8x+/hsZh+bbXY4lpc0qa79O3ZMdwoIN0nYnMZniw9H7hxhQrUJJIuTzOxwLG/+fL1Tde/ekD8/+t1g/fr63X/79rBkic62LKb1Z62pkqUKPTb04MTdE2aHY3kFC+qa9OnT9f95uMkY5hQ2ZaPF0hYEBgcyreY0PNxC2tFMOIsky3YQFATNmoGXl06kDGWDb77R2VTTprBqlVNXi4dXz2I9KZi6IB1WdeDWs1tmh2N5lSvrrlm//abfA4WLzCw7xY6rO/hlxy+0+rQV1bJWMzscy7t5E9q1g3z5dCLFs2d6N9GFC/UP+p9/hrL9qPkMw2BC1Ql4x/Cm2ZJmBAYHmh2S5fXurddpfvWVbm4SLjKz7BR/7v2TjZc2Mqz8MD5M9KHZ4UR7kizbwdChsGsXjB4NqZIF6qK/4cN1e7jJkx2ym5U9ebh5MKX6FF4GvaTdynYoGQTfa+hQvSNj8+Z6h6xwkdfXoXwDfGm2pBnp4qdjWHnZfOd9lII2beDlSz3b6Pn0AZQuDdu26U98+63lZxM/iPsBoyuN5sCtAwzZMeT9XxDNeXrC1Kn6PVH79hEckmQcc5izD87y/YbvqZy5Ml9+9qXZ4QgkWY60w4d1Y4t69aBB9Ze6g//06boE4/ffTe14ER5Zk2RlQKkBLDuzjJnHZpodjuV5e+u2WufPv5qJCyuZWXa4Xpt6ceHRBSZVn4R3DG+zw7G86dNh5UrdBS5rvFu6bOzoUVi8WO/17iLqflyX+h/Xp8/WPhy7c8zscCwve3bo1093MJ0bnu57MrPsUMG2YFosbUEsj1iy1sJCXCOTsyh/f71LX5IkMPrXFxjVqsKKFTBmjM6gXOyHvHOBzhRJU4ROqztx89lNs8OxvJIl9eYzw4frSbgwcbGfCVfz95W/GbFnBB3zdaRE+hJmh2N5N29C585QtCh8Xe2y/svly7pNXNWqZocXbn9W+pOEsRJKOUYYde0KBQrocez27TB+kYxhDjVizwh2XtvJiIojSOGdwuxwxCuSLEdC//56+9CJI1+QuEU13aB06lRd/OeC3N3cmVx9Mv5B/rRZ3kbKMcJg8GC9brNFC/D1DcMXyMyyw/gG+NJiaQvSJ0jPoDLSuP99Xpdf+PvDtH5XcCv5OTx6BBs26HeCLihJ7CSMrTyWQ7cPMWi7/Ay8j7u7btjk66svW2EammRm2WHOPjjLD5t+oGqWqjT+xHXu6kQHkixH0KFDMGgQfNnoBRXHvJEof/GF2aFFSubEmRlUehArz61k6pGpZodjeXHj6rL0ixf1zr9hIhcZh3iz/CKul/W6NljN6/KLEd9dI0PLkvD0qU6UCxQwO7RIqZmtJo0+aUS/bf04fPuw2eFY3kcfwYABsHQpzAxPBZ6MY3b1ZvnFuCrjpPzCYiRZjoCAAD2TmCqJP6NvVI8yifJrnQp0oljaYnRe01l2xgqD4sX1reyRI2HLlvc8WWaWHULKL8LndflFjXw3aDWrFDx4AOvWwWdRY9ODERVGkCR2EpotaUZAcIDZ4Vhely5QuPD/+2y/k8wsO4SUX1ibJMsRMHgwHDsSzK4MjfDcukFPLUaRRBnAzXBjcvXJBNmCaL28tZRjhMHAgfDhh/pN1PPn73iizBbYnZRfhM/r8ou4fveZe780xp07ejelfPnMDs1uEsdOzLgq4zh65ygDtg0wOxzLc3fXlzE/P90W851DvoxhdiflF9YnyXI4HTsG/fspNmRqR8rdi+CPP3ST5SgmU6JMDCkzhDXn1zDp0CSzw7G82LH1xebKFfj++/c8Wd582JWUX4TP9OmweaUvez+ogtetK7oWw0I7i9pLtazV+CLnFwz4ewAHbx00OxzLy5JFlxauWAHTpoXhC2Qcswspv3ANkiyHQ+CrFspDvXpR8sIE3fGic2ezw3KYr/J9Rcn0Jflm7TdcfXLV7HAsr2hRvRfN6NGwcWMoT5IyDLuS8ovwuXkTun4dyIaE9Uh+bR/Mng3FipkdlsMMrzCcZHGS0WxJM/yD/M0Ox/K+/lr/OHTuDNdDq8CTMgy7Gr5nuJRfuABJlsNh6FDIf3AMnV8M0veq+vUzOySHcjPcmFR9EgpFq2WtpBwjDPr31zM0LVvq9VL/Icmy3Uj5RfgoBW1aK3573pZCj1ZhjB4NNWqYHZZDJYyVkL+q/sXxu8fps7WP2eFYnpub7h8fGAitW4cyVMnMp92cfXCWXpt6SfmFC5BkOYxOnIC/f97An0Ynvd/xqFHRYtBInyA9Q8sOZcPFDUw4OMHscCwvVizdiun69VDKMaLBz4yzSPlF+EyfDrlWDaRp8GS9k1LbtmaH5BSVs1Smee7mDNkxhP0395sdjuV9+KFel7NmjR7L/kNmlu1Cyi9ciyTLYRAUBD83PMvs4LqorNlg1iy9IiKaaJunLaUylKLruq5SjhEGhQrpHYLHjg2lHEMuMpEm5Rfhc/MmrGm/jAH0RjVqrJPlaGRY+WF8EPcDWixtIeUYYdChg+7y88037yjHkHEsUqT8wrVIshwGowc8YsCxqsSM64HH6uUQL57ZITmVYRhMrDYRm7JJd4ww6ttXl2O0agXPnr3xgJRhRJqUX4SPUtC34SnG+jbBL0dejAl/Rbs7HAliJmB8lfEcv3uc/tv6mx2O5b0uxwgICKE7hswsR5qUX7geSZbf48wpG1n7NCKjcYkYKxdD+vRmh2SK1+UY6y6sk+4YYRArlu6OcfUq9OjxxgPRLElxBCm/CJ+5Yx/x7bbquHvHJubqxfqHMxqqnKUyzXI1Y9D2QdIdIwwyZdLlGKtWvdUdQ8awSJHyC9ckyfI7BAfDlgqDKK/W8GLQCIxiRc0OyVRt87alRPoSfLvuW649uWZ2OJZXuLBu9j96NGze/OqTMrMcKduvbmfEnhF0yNdByi/C4NZNRYKvm5LBuEysVYsgdWqzQzLVsPLDSBYnGc2XNJfNSsKgY8f/d8e4cePVJ2VmOVJG7h3Jzms7GV5huJRfuBBJlt9hUafNfHn1Jy4Vakj87tFjMcy7uBluTKw2kSBbEG1WtJFyjDDo318vmGnV6o3NSuR1i5CXgS9ptawV6RKkY3CZwWaHY3lKwZKK46gQtIJHvX7DrWhhs0MyXcJYCRlXZRzH7h6TzUrCwM0NJk4Ef/8QyjFkHAu3Cw8v8MPGH6iSpQpNcjYxOxwRDpIsh+LSnrsUG9OIW3Eyk37NOLn19ErGhBn5pcwvrDm/himHp5gdjuXFjq1r/y5fhp49kZnlSPDZ4sPZB2eZUHWClF+Eweo/ztDs6LdcylKeZH07mh2OZVTNWpUmOZswcPtADt8+bHY4lpc5s96hdOVKmDEDmVmOIJuy8eXyL/F092Rs5bFSfuFi7JIsG4ZRwTCMM4ZhnDcMo0cIjxuGYYx49fhRwzA+s8d5HcUWrLheuQ0JeYjXknkY8bzNDslS2udrT/F0xflm7TdcfxraUmnxWrFiutn/n3/C02cyQEbEvhv7+HXXr7T+rDWlM5Y2OxzLu3czkBTdmxDoHou0GybJm/23DK8wnMSxEtN8SXMCgwPNDsfyvv5al5V17gx378nPUkSMPzCeLZe38Hu530kVL5XZ4YhwinSybBiGOzAKqAhkBxoahpH9radVBDK/+mgDjInseR1pU7OpFHuwlKP1B5KsTE6zw7EcN8ONSdUmERAcQNsVbaUcIwwGDNALZs5fNAgKktcrPPyD/GmxtAUp4qZgaNmhZofjEraV7cenQft58ut43NOkNDscy0kUKxHjqozjyJ0jDNouHVXex91d3yF7+RJ+/ElmlsPryuMrfLf+O8pkLEPLT1uaHY6IAHvMLOcHziulLiqlAoA5QPW3nlMdmKa03UACwzAsWdl+9e8r5J/5NUcTfU7emd+YHY5lZUqUicFlBrPq3CqmH51udjiWFyeOvtj4+8P5c3KRCY8Bfw/gxL0TjK86nvgx45sdjuVtHbyLGicHcOTTZqTtUtvscCyr+kfVafRJI/pt68eR20fMDsfysmbVazA2bnr1CUmWw0Qp9c8an7+q/iXlFy7KHslyKuDN1gjXX30uvM8xnbIpHlRrgYEiyfIpGO5S0v0uHfN3pFjaYnRe05mbz26aHY7lFS8OyZMbXLuq+Ptvs6NxDYdvH2bQ9kE0zdWUSpkrmR2O5T288oy0vb/gtldasq8fYXY4ljeiwggSxUpEi6UtpBwjDLp0gdy5dbL3+JEky2Ex5fAU1l1Yxy9lfiF9gvRmh2N5ymbNnyt7ZIMhvU16+7sNy3P0Ew2jjWEY+w3D2H/v3r1IBxcehptB0DffcfTrCaQsnN6p53ZFr7tj+Af5SzlGGKVNbxArFrRsCS9emB2NtQUGB9JyaUsSx0rMsPLDzA7HJRwr+w1pgy/hO2Y6nomj1+ZJEZE4dmLGVh7LoduH+GXHL2aHY3nu7vDLEH05nzpVJpff5+azm3yz9huKpyvOV/m+Mjscywt87s+xRMXZ1XGm2aH8hz2S5etAmjf+nRp4e5oxLM8BQCk1XimVVymVN2nSpHYIL3zy/VSRIsPrO/28ripz4swMKDWAFWdXMPOY9X7ArcbdDT7Opjh/Hnr3Njsaaxu6cyiHbh9iTOUxJIqVyOxwLO/AT0v5/NxEthf+niwto3dP+PComa0m9T+uT9+tfTl255jZ4Vhepg91snzwoGLuXJODsTClFO1WtCMgOICJ1SbiZsid6vfZW9mHnE+2W3KXZHv87+0DMhuGkcEwDC+gAbDsrecsA5q+6opREHiilLplh3MLC/i6wNcUTlOYr1d/za1n8t/6ToZBwgSK9u3hjz9gxw6zA7Kmk/dO0mdrH+p9XI+a2WqaHY7lPTt1nYwDWnIi5mcUXONjdjguZ2TFkSSImYAWS1sQZAsyOxyX8GFGRceOcOeO2ZFY05zjc1h+djn9S/Xnw0Qfmh2O5V2etIlC235hU4ZWFBpY1exw/iPSybJSKgjoCKwFTgHzlFInDMNoZxhGu1dPWwVcBM4DfwHtI3teYR3ubu5MqjaJl0EvabeynZRjvMurPsu//ALp0kGLFnqFufi/YFswLZe2JF6MeIysONLscKwvKIjbpRrhYQsgcNocYnh7mR2Ry0kaJymjK4/mwK0DDN0hHVfe6dUCtdcbLXWUFt7/cef5HTqt7kSBVAXoXKCz2eFYXtCte8Rp14QL7ln4ZNNws8MJkV3uCyilVimlsiilMimlBrz63Fil1NhXf1dKqQ6vHv9EKbXfHucV1pE1SVb6l+zPsjPLmH18ttnhWNerC03cuHpnrHPn4McfTY7JYv7Y/Qd7buxhZMWRJIuTzOxwLO9iy/5kvv03KyqOJnfdzGaH47LqZK9D3ex18dnqw4m7J8wOx7pejWEpUyh8fGDBApg/39yQrKbT6k48C3jGpOqTcHdzNzsca7PZuFqyGd6BD7k4cC5J08cxO6IQSRGNsJsuBbtQMHVBOq3uxO3nt80Ox7pezbyXKgXt2sHvv8OuXSbHZBHnHpyj9+beVM9anfofy9qB93m5fAPppvdjsXdTaiz8wuxwXN6flf4kXox4Uo4RFkrRrRvkzQvt24OT1+Nb1sKTC5l/cj4/f/4z2ZO+veWEeNu97kPJeGY103L+RrnvcpkdTqgkWRZ24+7mzuTqk/EN8KX9yvZSjhGSt7a7HjIE0qSRcgzQ28G2WtaKmB4xGV15tPQjfZ9Ll7DVq89JspNs/ihixTI7INeXLE4yRlUaxb6b+/ht529mh2NNb2x37eEBkyfD06dSjgHw4MUDOqzqwKfJP+W7wt+ZHY7lBa9aS+LferLYsx5VV7e39EajkiwLu/ooyUf0K9mPxacXM+/EPLPDsZ63RgNvb12OceYM+PiYE5JVjNk3hr+v/s2w8sNI6S27zr2Try++ZWsQ4Gdj0RdLKFI+rtkRRRl1s9eldrba/LTlJ07eO2l2ONbz1hiWIwf8/DPMm6dLMqKzb9Z+w4OXD5hcfTKe7p5mh2NtFy4QWKcBx/iEl6MmkSKlhTNlJFkWDvBtoW/Jnyo/HVZ14K7vXbPDsZa3ZpYBypSB1q3h119hzx6T4jLZ5ceX+X7D95TPVJ5muZqZHY612WwEf9GcWBeO0SXZbLqOzmR2RFGKYRiMqjQKby9vKccIifHf7a67d4c8eXQ5xv37JsVlspVnVzL96HR+KPoDuZJbt5zAEp48IaBidXxfujGixGIafmnNOuU3SbIs7O51OcazgGd0WNXB7HCsJ4TylF9/hVSpdDmGn58JMZlIKUXr5a1xM9wYX3W8lF+8z/ff4754Ad0ZQtNZFYgrk8p290HcDxhZcSR7b+xl2C7ZECdEb4xjr8sxHj+GTp3MC8ksT/ye0HZFW3Iky0Gv4r3MDsfaAgJQtWvjdv4MLWLPo8/0jJYuv3hNkmXhENmTZqdPiT4sOLmA+SdkqfQ/QphZBt2D/a+/4NQp6NPHhLhMNPHQRDZc3MDQskNJGz+t2eFY259/wq+/MooOPP2yK6VLmx1Q1NUgRwNqfFSDHzf/yOn7p80OxzpCmFkG+OQT+OknmDMHFi82IS4TdVvXjVvPbzGp2iS83KV1Y6iUgtatMTZupKWaSLXhpUmd2uygwkaSZeEw3Qp3I2/KvLRf1Z57vrJUGvhPvd+bypfXvUuHDIF9+5wYk4muP71O13VdKZm+JK3ztDY7HGtbuhT19dds8q7GLymHM/RXF5iOcWGGYTCm8hhie8am5dKWBNuCzQ7JGt4xhn3/PXz6KXz1FTx44MSYTLT+wnomHJpAt0LdyJcqn9nhWNvPP8O0afT36sutMk1p1crsgMJOkmXhMB5uHkyuPpmn/k/puFqWSgOhziy/9ttvkDIlNG8O/v7OC8sMSinaLG9DkC2Iv6r+JdvBvsu2bdCwIddT5KPKs9mMGe9O/PhmBxX1JY+bnJEVR7Lr+i6G77HmZglOF8rMMoCnJ0yZohPlztFgL45n/s9ovbw1WRJnwaeEj9nhWNvo0dCvH6tTtWKwR2/++uud77ssR65OwqFyJMvBz5//zLwT81hwMpovlX7tHcly/PgwfjycPAl9+zoxJhNMOjSJ1edXM7j0YDIlkkVqodqzBypX5uUH6ch/ezn1msWmcmWzg4o+Gn3SiGpZq9FrUy/OPjhrdjjWEco4ljMn9O4NM2fC0qVOjsnJuq7ryrWn15hcfTKxPKV3Y6gmT4YOHbicsxrVboxh6K8G6dObHVT4SLIsHK57ke7kSZGH9ivbc/9FNF0q/dp7ZpYBKlbUC/1++QUOHHBSXE525fEVvln7DSXTl6RDflkEGqpDh6BCBWzJPqCCx0bcUyTjjz/MDip6MQyDsZXHEtMjppRjwDtnll/r2RNy5dKbLj186KS4nGzN+TX8dfAvuhbqSuE0hc0Ox7pmz4ZWrXhRrByfnZ9HiTKetGtndlDhJ8mycLjX5RiP/R7z9eqvzQ7HXGG87/T77/DBB7ocIyDAsSE5m1KKVstaoVBMqj5Jyi9Cc+IElCsH3t4MLrORbedTMnEiJEhgdmDRTwrvFAyvMJwd13Ywcu9Is8MxVxjGMC8vXY5x/z506eLwiJzusd9jvlz2JdmTZqdvySh+CzAyFi+GL75AFStGTbWYIPcYTJzoWuUXr8lVSjjFJx98wo/Ff2T28dksPhXNlkq/LQw7GyZIoMsxjh+H/v0dH5Izjd0/lo2XNvJr2V9JnyC92eFY08GD8Pnn4OnJwV830fuvdLRpoxeBCnN8kfMLKmeuzA8bf+D8w/Nmh2OeMMwsA+TODT/8ANOnw4oVjg/Lmbqs6cLt57eZWmMqMT1imh2ONc2eDXXrQr58jK28gnXbYzNsGKR10YZHkiwLp+lRtAe5k+fmq5Vf8eBFNFkq/bYwlGG8VrkyNG0KAwfq3CkquPjoIt+t/45ymcrRJk8bs8Oxpl27oFQpiBOHl2u30aD3h6RNq3txC/MYhsG4KuPwcvei5dKW2JTN7JDMFYZxrFcv3VKubVt49MgJMTnBsjPLmHpkKj2L9iRvyrxmh2NNkyZB48ZQpAgXRq+lq483lSpBy5ZmBxZxkiwLp/F092RK9Sk8ePmAzmuiwVLpkIQjWQb44w9IlkzXMLt6OYZN2WixtAXubu5MqDpBNh8JyebNULYsJE0Kf/9Njwkfcu6cXh/j7W12cCJVvFT8UeEP/r76N6P2jjI7HHOE4/f2dTnGnTvw7beOC8lZHrx4QJvlbcj5QU5+/PxHs8OxppEjdQ/UsmUJXrGaph3jESMGLtf94m2SLAunypU8F72L9WbmsZksPR3Fl0qHJJyjRcKEMG4cHD2qZ5hd2cg9I9l2ZRvDKwwnTfw0ZodjPatWQaVKkD49bNvG1ktpGTECOnaEkiXNDk681ixXMyp+WJEeG3tw4eEFs8NxvjCWYbz22Wd6wd+UKfpH3JV1Wt2JBy8fMLXGVNl85G1KwaBB8PXXUL06LFvGsHGx2blT588pU5odYORIsiycrmexnuT6IBftVrbj4csoulT6XcIxswxQtSo0aQIDBsDhw44JydHOPjhLz409qZKlCs1yNTM7HOuZOBGqVYPs2WHLFp57p6BFC/jwQxg82OzgxJsMw2B81fF4uHnQalmr6FuOEY5xrHdvyJED2rTRW2K7ooUnFzL7+Gx+Kv4TuZPnNjscawkO1o21f/gBGjaE+fM5eSEGvXvrvLlxY7MDjDxJloXTebl7MaXGFO6/uE+XNV3MDse5wlmG8drw4ZA4se6OERho/7AcKdgWTPMlzYnpEZPxVcZL+cWblAIfH/jySyhdGrZsgSRJ+O47uHxZz8bFiWNuiOK/UsdLzbDyw9h6ZStj9o0xOxznCufMMkCMGLqU6PZt6NrVQXE50F3fu7Rb2Y48KfLQo2gPs8OxlpcvoV49PX387bcwYwZBhifNm0PcuPrOaFQY8iVZFqbInTw3PxT9gelHp7P8zHKzw3GeCCbLiRLpQefIEX2ny5UM3TmUXdd38WelP0nhncLscKwjMFAnyX366HdBK1aAtzdr18LYsfq6U6SI2UGK0LTI3YLymcrz/YbvufjootnhOE8EM5+8eaF7d732a80aO8fkQEop2q5oy1P/p0ytMRVPd0+zQ7KOBw+gTBndIm7YML0FrZsbgwbBvn16074PPjA7SPuQZFmYplfxXnyS7BParmgbfbpjROItdvXq+g5Xv36uU45x8NZBftz8I3Wy16FhjoZmh2MdT57osotJk+DHH/Wfnp7cv6/z5o8/1v/PwroMw/hnm/ZoVY4RgZnl137+WVcatW7tOt0xJh2axJLTSxhQagAfJ/vY7HCs4/x5/W7+wAGYN++fhtp79+r3/w0a6AnnqEKSZWEaL3cvptaYyv0X92m7oi0qAoOvS4rE9zlypG6U0KiRvvtlZS8CX9B4UWM+iPMB46qMk/KL186dg4IFYcMG3Uy7b18wDJTSScTDh3qr4Fiye67lpYmfhj8q/MGWy1v4bedvZofjXBEYx2LEgKlTdTlG+/aRGgqd4vzD83Re05mS6UvybaEo0M7DXjZtgvz59a4zGzZAnToAPH+u65NTpoQxUaw6SZJlYapPU3xK/1L9WXhqIVMOTzE7HMeLYBnGa4kT64vNqVP6lqaVdV/fndP3TzO1xlQSxUpkdjjWsHEjFCgAd+/C+vU6O35l8mRYskQv5MyVy7wQRfi0yN2CWtlq0WtTLw7dOmR2OI4XiZll0OUYffrAnDn6TaFVBdmCaLKoCZ7unkytMVV2Gn1t9Gi9s2jKlHoauWjRfx7q2hUuXIBp06LeTqPyvy9M17VQV0qkL0Gn1Z2i/s5YdphdLVsWvvkG/vzTuq2YVp1bxah9o/i24LeUzlja7HDMp5T+DytfXl9k9u2DEiX+efjCBd1xqWTJqNGPNjoxDIPxVcaTNE5SGi1qxIvAF2aH5Fh2GMO+/x6KFdOzy5cu2SEmBxiwbQB7buxhbOWx0uoS9BqL9u2hQweoWBF27oSMGf95eNkyfaPsu+/+NbRFGZIsC9O5u7kzrcY0PN09abKoCYHBLtbuITwiObP82sCBemesFi30JKWV3PO9R8ulLfkk2ScMKD3A7HDMFxAA7dpBp066j/JbF5mgIN0a0NNT3zVwk1HZ5SSOnZipNaZy+v5pvlv3ndnhOFYkZ5YB3N31NtiGAV98oX8HrGT39d3029aPJjmbUD9HfbPDMd/9+1Chgq6t6N5d3wKLF++fh2/f1vuQ5M6tq8qiIhmWhSWkiZ+GcVXGsefGHvpti+Irm+yQLMeMCbNm6XViLVtap/ZPKcWXy7/kkd8jZtaaSUyPmGaHZK7bt/Vq8fHj9c4Mb11kQJdd7N6tO2CkkQksl1UmYxm6FurK6P2jWXF2hdnhOF4kB5106XTutWOHtTr8PPN/RpNFTUgdLzV/VvzT7HDMt38/5MkD27frXpa//KLf7byilE6Unz/XZTUxYpgXqiNJsiwso97H9WiWqxkD/h7Ajqs7zA7HMew0swy6yf+QIbBypU60rGDCwQksO7OMwaUH88kHn5gdjrm2b4dPP9UXm5kz9e2At6aNd+/WXS+aNIH6MoHl8gaUGkCuD3LRcmlL7jy/Y3Y4jmGHmeXXGjXSC8L69IE9eyJ9OLv4Zu03XHx0kek1pxM/ZnyzwzHXxIn/r0nevh2a/XdDqbFjdTngkCG600lUJcmysJQRFUeQLn46mixuwhO/J2aHY3927gjRqZO+O/btt3rRn5nOPjhLl7VdKJOxDJ0LdjY3GDMppXuOliihu/Lv2aOzgrc8e6aT5FSpdDmzcH0xPGIws9ZMngU8o+WyllGzw4+dx7BRoyB1ap00P3tm10OH2+JTi5l4aCI9ivagWLpi5gZjJj8/vfj4yy91cfmBA5Av33+edvq0XtRXvjx07GhCnE4kybKwlHgx4jGj1gyuPrlKx9VR8LfPjjPLrw83ebLOyRo1An9/ux06XPyC/Ki/oD4xPWIypfqU6Lty/Nkz3WD022/1PuX79+vi8rcoBV99pRc3TZ8O8aP5BFZU8nGyjxladug/i1yjHDvOLIP+2Z8+Xf8udDbxPfaVx1douawleVLkwaeEj3mBmO3KFZ0gT5igS8fWrIEkSf7ztNcb98WJo69BUb0zaDS9ogkrK5ymMD8W/5EZR2dEzXZydp5tSp5c72lx+LB57eS6revG4duHmVZjGqnipTInCLOdOqV7jy5YoOv6Fi0KNQueMkVXZvj4QPHiTo1SOEGHfB2olLkS3dZ1i7rt5Ow4jhUrpvOyyZPNaScXGBxIw4UNCbYFM7fOXLzcvZwfhBWsX6/rk8+e1bvyDRz4r/rkN33zDRw7pt/opIgGG7NGKlk2DCORYRjrDcM49+rPhKE877JhGMcMwzhsGMb+yJxTRA8/Fv+REulL0GFVB07eO2l2OPZj55nl16pW1RsojRihczRnWnRq0T9t4ipnqezck1vFvHn6NuXDh7pJf/fuoU61nDypuy+VKgU//ODkOIVTGIbBlOpTSBI7CfUW1OOp/1OzQ7IfB00h+vjo8ti2beHMGYecIlQ/bv6RXdd3MaHaBDIlyuTck1uBzaZXWVaooGdf9u2DGjVCffq8eTBunB7mKlRwXphmiuzMcg9go1IqM7Dx1b9DU1IplVsplTeS5xTRgLubO7NqzSKuV1zqzq+Lb4Cv2SHZhwPvVf3yi87XWrZ0Xu/SS48u0XJpS/KlzMegMhZa0u4sgYF6iqV+fciZEw4e1M2SQ/Hihb516e0NM2aEOmkjooCkcZIyu/ZsLj26RJvlbaJO/bKdyzBe8/CA2bP1zpX16jlvh9I159fwy45faJunLfU+jkL7M4fVo0dQvbp+516vnl5jkSVLqE+/cEGXMxcsCP37OzFOk0U2Wa4OTH3196lAjUgeT4h/pPBOwYyaMzh17xSdVncyOxz7cdBF08sL5s7Vf69fX7f3daSA4AAaLGwAED1vXd68qaeH//hD7yiyZYterfcOnTvrmeUZM6LHrcvorli6YvQr2Y+5J+Yy/sB4s8OxLweMY6lT69v6R4/qO2WOdvPZTb5Y/AWfJPuEYeWHOf6EVnPgAHz2GaxdCyNH6n6kceKE+nR/f31tcXPTOzB6ejoxVpNFNln+QCl1C+DVn8lCeZ4C1hmGccAwjDaRPKeIRspmKkuvYr2YfHgy045MMzucyHNQGcZrGTLour99+/QuWY7Ua2Mv9t7Yy4RqE8iQMINjT2Y1W7botnAHD+oLzPDh+t3KO8ye/f81M2XLOidMYb7vi35P+Uzl6bymM0duHzE7nMhz0MzyaxUqQI8eujX5rFkOOQUAwbZgGi9qzIvAF8yrO49YnrEcdzKrUUq/wIULQ3AwbNum21m8585njx46v548WffJjlaUUu/8ADYAx0P4qA48fuu5j0I5RspXfyYDjgDF33G+NsB+YH/atGmVEIHBgerzyZ+r2ANiq5N3T5odTuTUravURx85/DRff60UKLV4sWOOv/zMcoUPqv2K9o45gVUFBys1aJBSbm76//HEiTB92ZkzSnl7K1WkiFKBgQ6OUVjOned3VMrfUqrMIzKrp35PzQ4ncvz89OAycKDDThEYqH9X4sbVvzuO8NOmnxQ+qKmHpzrmBFbl66vUF1/o/8Ny5ZS6dy9MX7Z4sf6Sr792bHhmAvar0HLT0B4IywdwBkjx6u8pgDNh+BofoFtYjp8nTx4HvizCldx4ekMlHZJUfTzqY/Xc/7nZ4URcvXpOSZb9/JTKk0epBAmUunjRvsc+9+Ccij8ovvp07KfqZeBL+x7cyh49UqpaNT1s1qun1NOwJT3PnimVPbtSSZIodfWqY0MU1rX18lbl1sdNNVjQQNlsNrPDiTh/f/07MGCAQ09z7ZpSiRMrlTOnzu/sacWZFQofVPMlze17YKs7c0apHDmUMgylfv5ZqaCgMH9ZvHhK5c2rry1R1buS5ciWYSwDXm/p0gxY+vYTDMOIYxiG9+u/A+VezUwLEWYpvVMys9ZMTt47yZfLv3TtxTJOiD1GDL1iGaBmTb2wzB58A3ypNbcW7m7uLKq/KPpsZ334sG6ptGqVLrmYM0ev0nuP11vBnj6t68llO+voq3i64vQr2Y85x+cwfM9ws8OJPAePY6/rl48dgzZt7He6Cw8v0GRxEz5L8RmjK422z0FdwYIFkDcv3LoFq1fr9iNhWGH8/Lm+hnh5wcKFUXc76/eJbLI8GChrGMY5oOyrf2MYRkrDMFa9es4HwHbDMI4Ae4GVSqk1kTyviIbKZirLgFIDmHN8Dr/v+t3scCLGwTXLb8qYUdf8HT2qVy9H9rRKKdqsaMPxu8eZXXs26ROkt0ucljd5MhQqpFe3bN2qF/OFsavJsGH6TcugQXotoIjeehTtQc2PatJtXTc2X9psdjgR4+Ca5TdVrKi3wp45U7fFjKwXgS+oNa8WboYbC+stjB51yoGBepOkunX1ftQHD+ot98LgzTf7c+ZA2rQOjtXKQptytsKHlGGIt9lsNlV7bm3l1sdNbby40exwwq9BA6WyZHHqKfv313dNhw2L3HGG7x6u8EH139rfLnFZ3osXSrVqpV+80qWVunMnXF++ebNS7u5K1a6tlCvfdRf29cTvifroz49U0iFJ1dXHLliXExiofyf69XPK6YKDlapeXf8ubdkS8ePYbDbVeGFjZfgYau35tXaLz9KuX1eqcGH9/9Wxoy6hCYffftNfOniwg+KzGBxYhiGEUxmGweTqk/koyUfUX1CfK4+vmB1S+DhxZvm1nj31bbRu3XQTh4jYfnU7Xdd1pVrWavQs1tOu8VnSpUtQpAhMnAi9eunWSslCa/bzXzdu6BZLmTNHj61gRdjFixGPJfWX4BfkR615tfAL8jM7pPBx4swy6DZl06bBhx/qydFr1yJ2nD/3/snMYzPpV7If5TKVs2+QVvT337ot3JEjuhXPyJHv7djzpq1b9aYjtWqZtzOslUiyLFyOdwxvFtdfTEBwALXm1eJloJO619uLk5NlNze9vXLmzLrn/NWr4fv6K4+vUGtuLTIkyMDUGlNxM6L4sLFxo67tu3QJVqzQnffDsXvIixe6x/+LF3o3xTCUNotoJmuSrMyoNYP9N/fTfmV711yD4cSY48XTuy+/fAm1a4NfON9fbLi4gW/WfhM93uwrBaNH67qv+PFh715o0CBch7h4Ub/O8mb//6L4VU9EVVkSZ2FGzRkcvHWQFktbYFM2s0MKGxNmlkFfbJYs0WW31avrRRth8cz/GVVnVyUgOIDlDZeTIGYCR4ZpLqX0BiPly+sdQ/bvh8rh277bZoNmzXRZ4Jw5kC2bY0IVrq9a1mr8VPwnJh+ezLDdLrQhhpNnll/Llk3PMO/bp+tow3r6M/fPUHd+XbIlzcaMmjOi9pt9f3+9QKVDBz2O7d2r65TD4elTqFpVj2XLlulrh5BkWbiwqlmrMrj0YOaemIvPFh+zwwkbE9+iZ82qOzIcPQqNGule9O8SbAum0aJGnLx3kvl155M1SVbnBGoGPz9o3lxvXV2tGuzaBZkyhfswPj560fmvv4Y7zxbR0M8lfqZO9jp0W9eNZWeWmR1O2Jg4htWsqW/0zJoF/fq9//kPXz6k6uyqeLp5srzhcrxjROHbPDduwOef69Kx3r11ppsgQbgOERysJ6HPntWdLzJndkyoLim0YmYrfMgCP/E+NptNtVzSUuGDmn5kutnhvF+TJkplzGhqCKNG6UUb33zz7ud9t+47hQ9q1N5RzgnMLNeuKZUvn35R+vTRK4oiYOZMfYhWrWRBnwg73wBflW98PhV7QGx18OZBs8MJG9B9ek1gsynVtKkOYfbs0J8XEBSgSk0tpbz6eantV7Y7L0Az7NihVPLkSsWJo9TChRE+zDff6Nd17Fg7xuZCkAV+IqoyDIMxVcZQMn1JWi1rxfar280O6f1Mrk9s3153Pxs2DMaNC/k5kw9NZujOoXTI14H2+do7N0Bn2r1b1yefOqWLIn/6SRd5R+AwLVtC8eK6XFBq/ERYxfaMzbKGy0gcKzFVZ1flxtMbZocUNiaNY4ahd2ouVkzfDNq167/PUUrRaXUnNl3axF9V/6JI2iJOj9NpZs6EkiUhThw9ENWqFaHD/PWXviZ07gxt29o5xihAkmXh8rzcvVhQbwHpE6SnxpwaXHh4weyQQmdSzfLbfv8dKlXSpW3r1v37sTXn19BmRRvKZCzDHxX+MCU+p1i48N8XmRo1InSYs2d1jV+qVPqQ4VhwLgQAyeMmZ0WjFTzxf0K1OdXwDfA1OyRLixFDL55NnVqvwbh06d+PD94+mHEHxvF9ke9pmqupOUE6mlLQty80aaL7wO/dCzlyROhQK1fCV19BhQq6hEz8lyTLIkpIFCsRKxquQKEoP6M8t5/fNjukkFlkytHdXS9A+/hjvep5/379+X039lFnXh1yJMvBwnoL8XDzMDdQR1AKfvtN96H69FOdKH/8cYQOdeuWXkdjGLBmDSRJYudYRbSR84OczKk9h8O3D1N7Xm0CggPMDil0FnjTnySJTvKCgvTv4N27+vOTD03mh00/0PiTxgwsPdDUGB3G31+vJP75Z2jaVM94JEoUoUPt3q2Hwty59QZKHlFwyLcHSZZFlJE5cWZWNlrJree3qDCjAk/8npgdUsgsMLMMuqXZ6tWQOLHeKWvN7ktUmlWJZHGSsbrxauLFiILLoIOCoGNH3XS6dm3dJi5p0ggd6skT/brdu6d3wZbFMCKyKmepzPgq41l7YS3NlzS3dpcfC4xjWbPC8uVw/br+XZx3cA2tl7emXKZyTKo+KWp2vnjwAMqV03uB9+un+4JG8HbW6dN6IXLKlHoMkzaXoYuCP0kiOiuYuiAL6y3kxL0TVJtTzXo9mC0wI/OmlClh/XpQBFOlkhe2JylY22QtyeMmNzs0+3v+XJdajB4N332nW4PEith2t35++lAnTujbwXnz2jVSEY21+qwVg0oPYvbx2XRe3dmaPZgtNI4VKQLz58ORI4qGdWKSM3F+FtRdgJd7FKyHunIFCheGPXt0S5DevSN8t/LGDT0j7+ER7j2XoiVJlkWUU+HDCkyrMY2/r/xNg4UNCLIFmR3S/1noIvNaktSPSNS6McEvvIk/fw+JjSg4RfrwIZQpo6fSx4yBIUMitJAP9OT0F1/o3RCnTNGTPELY0/dFvufbgt/y574/6b+tv9nh/JdFysley5D/JDHrfIXtUglSrttEbI8oOEV68qR+Z3D3LmzYAA0bRvhQDx/q+uSHD/WQGIEumdGOJMsiSmr4SUNGVBzBsjPLaLWsFcG29zQVdhaLXWSe+D2h/IzyXIm9mF8mnOHG5VhUqqQb00cZt27p/qOHDulp4HbtInyo4GC9An/BAr1IsnFj+4UpxGuGYTC03FCa5mrKT1t+4s+9f5od0r9Z6E3/mftnKDW1FPHyLaP3gPusXBaT1q31phpRxt69uv1HcLDeh7po0Qgf6vFjKFsWzp3TG1V99pndoozSpJRbRFkd83fk4cuH/LzlZ9wNdyZUm2CNGjaLXGSe+T+j4syKHLp9iEX1FlE1az6yxNWLPSpW1DMOLr970+XLekb59m1dlFe6dIQPZbPBl1/qTk0DB+r9S4RwFDfDjQlVJ/DE7wmdVnfCwKBD/g5mh/V/FhjHzj88T6lppVAoNjXbxEdJkmD46VJed3fdGjOCN5CsY8MGXfP1wQd6IV8kpoGfPNGlF8eP606ZkRgOox1JlkWU9tPnP2FTNvps7QNgfsJskRkZ3wBfKs+qzN4be5lXdx5Vs1YF9Jg8Z47exaliRd3hwWUXfZw6padQXrzQC/kKFIjwoWw2PSE9ZYrepa9nT7tFKUSoPN09mVd3HnXn16Xj6o4YhmGNvucWGMcuPbpEyaklCQgOYHOzzXyU5CMA+vTRv68DBujnuXTCvGKFXoicNasuLE6RIsKHevZMtws9eFC3uKxUyY5xRgOSLIsoz6eED8A/CfNfVf/C3c3dnGAsUIbxxO8JlWdVZtf1XcyqNYta2f7dxL52bZ0w16+v69pccob51CkoUUK/3lu2QM6cET5UcDC0bg2TJ8MPP+h9S4RwFi93L+bXnU/d+XXpsErPLJueMJs8jp25f4Yy08vwIvAFm5puIkey//cXNoz/b4U9YID+99ixLpgwv06Uc+bUM8oJE0b4UI8e6eR43z69rrlaNTvGGU1IsiyihTcTZt9AX6bVmEYMjxjOD8TkGZl7vvcoP6M8x+8eZ07tOdT9uG6Iz6tdWw+qDRpAqVK6gsFlVkufOaODNgxd35c1a4QPFRCg65IXLNBJso+P6XmCiIbeTpif+D2hR9EeGGb9MJo4jh2+fZhy08thGAabmm4iV/Jc/3nO2wnz8+eR6rDmfHZMlO/c0YuQT5/WXUNq1rRjnNGIJMsi2vAp4UNcr7h8t/47Hr18xKL6i4jrFdf5gZh0kbn+9Dplp5flyuMrLGu4jAofVnjn82vX1gtA6tbVa0vWrYN06ZwTa4SdP68T5eBgPaMciUT5xQv9GqxZoxfzSY2yMJOXuxcL6i6g+dLm/LDpB+69uMev5X41r6zMhHFs57WdVJpZiXgx4rGh6QayJM4S6nNfJ8ze3tCjh55dXbBAb9hpaatX2y1RvnpVL9m4cUPn32XL2jHOaMbVbkwIESndCndjUrVJbLy0kdLTSnP/xX3nBmDSjMzxu8cpMqkIN57eYG2Tte9NlF+rXFn3Yb57V7f3PHHCwYFGxtWrOlH294dNmyB79ggf6t49fZFZuxYmTJBEWViDp7sn02tOp1P+TgzbPYzmS5oTGBzo/EBMGMeWnl5K2ellSRYnGdtbbn9novyaYcD338P48TrvLFtWt0uzrB07dKKcI0ekE+UjR/7faW79ekmUI0uSZRHttPi0BQvrLeTI7SMUnFCQU/dOOe/kJtw2XXt+LYUnFibIFsTW5lsplq5YuL6+SBFdzWCz6YR5zRoHBRoZrxuHPnmiV4/nyPH+rwnFqVN6LeChQ/q2ZatWdoxTiEhyM9wYXmE4fUv0ZfrR6VSYWYGHL52cATpxHFNK8fuu36k5tyYfJ/2Yv1v8Tdr4acN1jNat9VbOBw5AwYK6Ustyjh6FKlUgTRo9yEYiUV65UneXU0qP3YUL2zHOaEqSZREt1fioBpuabeJZwDMKTizImvNOygCdPCMzZt8YKs+qTMaEGdnz5R4+TfFphI6TMyfs3g3p0+vZ5uHDTV8M/38vX0LVqnDhAixdCrlzR/hQGzdCoUK6BGPrVj3JI4TVGIbBj5//yJTqU9h+dTsFJhTg9P3TzgzAKQNAkC2Ir1Z+Rdd1XamVrRZbmm/hg7gfROhYr3e3f/RIvxlev97OwUbGxYu6p1ucOHpGOWnSCB9q5Ei9gC9LFt2eOdd/S7pFBEiyLKKtwmkKs/fLvWRIkIHKsyozbNcw52wt64Rz+AX50WZ5G9qvak+FDyuwveV2UsdLHaljpkun7xJWqwZdukDbtrriwVRBQXonq127dAPkEiUidBil4Ndf9fUqdWq9m2z+/PYNVQh7a5a7GZuabuKJ3xMKTnDim35w+Dh269ktykwrw7gD4+hRpAfz6s4jtmfsSB2zaFHdESJNGt0ac8QIC7zpf/BADzwBAZFaGPLiBbRsCV9/rSeot22DlCntHGt0ppSy7EeePHmUEI72zP+ZqjmnpsIHVXNOTfXwxUPHnaxdO6WSJnXc8ZVS5x+cV7nH5lb4oHqs76GCgoPsevzgYKV69lQKlPrsM6XOnbPr4cOnUycdyMiRET7Eo0dK1aihD1OrllJPntgvPCGc4fKjyyrnmJz//M4HBAU49oRx4ij17bcOO/ymi5vUB0M/ULEHxFbTDk+z+/GfPlWqWjX9O1+7th4DTBEQoFSJEkp5eSm1Y0eED3P2rFI5c+rvp1cvpYLsO+RHG8B+FUo+anpC/K4PSZaFs9hsNvXbzt+UR18PlW5YOrXr2i7HnOirrxyaLM89PlfFGxRPJRycUC0/s9xh51FKqaVLlUqYUClvb6Vmz3boqUI2YYIewiJx0d6zR6mMGZXy8FBq2DClbDb7hSeEM/kG+KrWy1orfFCFJxZWVx5fcdzJ4sZ1SLIcGByo+m3tp9z6uKmsI7Oq43eO2/0crwUHKzVkiP7dT59ejwVOZbMp1batHsOmT4/wIWbP1mNwokRKrVpl5xijGUmWhQijPdf3qPR/pFcefT1U7429lV+gn31P0L69UkmS2PeYSql7vvdUvfn1FD6ofOPzqUuPLtn9HCG5ckWpwoX1SNKkiVL37jnltHoWxtNTqXLllAoMDPeX+/kp1aOHUm5uSqVJo9TOnQ6IUQgTzDo6S8UdGFclGJxATT40Wdkc8Q7Q21upb76x6yFP3D2h8o3Pp/BBNVjQQD31e2rX44dm506l0qbVSfPPP+uxwSlGjNADZ48eEfryO3f0rDgoVbCgHotF5EiyLEQ4PHr5SDVZ1EThg8r2Zza142rEb4/9R/v2SiVObLfD2Ww2teDEApVsaDLl2ddT9d/a3/G3YN8SEKDUTz/pi03SpErNmuXgGdpr15T64AOlPvxQqYfhL5nZu1epjz/Wo1/Llko9fuyAGIUw0bkH51SRiUUUPqiy08ra/82zt7dSXbrY5VCBwYHql+2/qBj9YqjEvyRWc47NcUyC/w4PHyrVqJEeE7JnV2qXg24s/mPjRv1OvUYNPcUdDjabUvPm6TkXLy+lBg2K0HyBCIEky0JEwOpzq1XaYWmV4WOoNsvaqFvPbkX+oB066PtldnDszjFVdlpZhQ/q07GfqiO3j9jluBF19KhS+fPrUaViRaWOO+IOakCAPkncuEqdOBGuL711S6kWLZQyDKVSppRbliJqC7YFq1F7R6m4A+Oq2ANiqwHbBijfAF/7HDxePLsky2vOrVHZ/sz2z3qR289u2yG4iFuxQt9pMgy9vOS2I8K5eVOpZMmUypZNqWfPwvWlR48qVbq0HmPz5FHq2DEHxBeNSbIsRAQ99Xuquqzuojz6eqg4A+Ion80+6pl/+Aa4f+nYMdLJ8u1nt1X7Fe2VWx83lXBwQjV893CnzyaHJihI1/7Gj68nTr78UqkbN+x4gl699LA1f36Yv+T5cz37Ejeurtzo1k1mk0X0cfXxVVVjTg2FDyrVb6nUpIOTIr/oN358pTp3jvCXn7h7QlWaWUnhg8o0PJNafGqx02eTQ/P0qV437O6ux4y+ffUYYheBgUp9/rlSsWOH683+rVs6eXdz05ePkSNlNtkRJFkWIpLO3j+r6syro/BBJRuaTA3YNiBiXTM6dtSr4iLg6uOr6utVX6uY/WMq9z7uquPKjuq+7/0IHcvR7t3TE0+enkrFiqXU118rdelSJA+6fbu+WrRoEaanP36s1MCB+nYl6DuepnbuEMJEWy9vVfn/yv9Pedmkg5MiviYjfnz9Sx1OB28eVLXn1laGj6HiDYqnhu4Yav91IXZy+rTujgO66mvQIDt0zXj9Zn9a2Dp8XLmiLxkxYugyt86dlXrwIJIxiFA5LFkG6gInABuQ9x3PqwCcAc4DPcJ6fEmWhdXsvLpTlZ9eXuGDijMgjmq/or3af2N/2GdFOnVSKkGCMJ8v2Bas1l9Yr2rNraXc+7grj74equWSlurs/bMR/A6c68IFpZo21QO9u7tSdesqtWZNBFobPXmiVIYM+uPpuxf+HDqkVJs2ursVKFWpUqS6MgkRZdhsNjXv+Lx/2syl/C2l+nnzz+GvaU6QQI9lYfAy8KWacWSGKjqpqMIHFW9QPNV7Y291z9dZq4EjZ/t2pcqW1WNJ3Li6ku7AgQgcaMcOXd/xnjf7wcFKrV2r39y7u+sJhy+/VOr8+YjFL8LuXcmyoR+PGMMwsr1KlMcB3ZRS+0N4jjtwFigLXAf2AQ2VUiffd/y8efOq/fv/c0ghTHfk9hF+2/Ub80/Oxy/Ij0+SfULNj2pSLWs1PkvxGUZo28F27gzTpultpEIREBzArmu7WHRqEQtPLeTGsxskiZ2Elrlb0j5fe9IliFjTejNdu6Z3/Zs8We9MnTq13lGrWjUoVgw8Pd9zgJYtYepU3Wm/SJF/PWSzwZEjevO++fPh5EmIGVPvVdKxI3z2meO+LyFckVKK9RfX8/uu31l3YR0KxefpPqfGRzWolrUaGRNmfPcBEiWCJk30rh4heOr/lM2XNrPg1AKWnVnGU/+nfJjoQ9rmacuXn31JgpgJ7P9NOdihQ/D773qM8ffXu5rWqqXHsNy537MDuK+v3kovOFhva+3t/a+H/f31vkoLF+qPW7f0Jn4tW0L79pA2fLt7iwgyDOOAUipviI9FJll+4wRbCD1ZLgT4KKXKv/p3TwCl1KD3HVeSZWF1j/0eM+f4HGYem8nOazuxKRuJYyWmcJrCFExdkGxJspElcRbSxE+Dt5c3xjffwJQp8PgxNmXj/ov73Hx2k1P3TnH87nH23tzLjqs7eBn0khjuMaiYuSL1P65PzY9qEsMjhtnfbqT5+8Py5Trv3bAB/Pz0Dq/580PhwpAjh96mNX16iB8f3N2BRYugdm1Uzx94/N0Abt2CM2fg+HE4eFBvS/3okb5YFS8OdetCo0aQMKHZ360Q1nf1yVWmHp7KvJPzOH73OADp4qejcJrC5E+Vn6yJs5IlcRaSx01ObM/YeiIgcWJo1IjAP37nru9drj29xom7Jzh29xi7ru/iwM0DBKtgEsZMSM2PatLwk4aUylAKN8P1Nw1+9AjmzNEbhu7cqXcATJJEj18FC0K2bJA5s94l0Nv7VRLdoQOMGUPwhs08yPE5N27AqVN6DNuzRx/Hz0+/ya9YEerXhxo1IIbrD/kuxexkuQ5QQSn15at/fwEUUEp1fN9xJVkWruT+i/usOreKrZe3svP6Tk7fP/2vx90Nd/5c50Gj/f6k/tmbF4EvCFbB/zzu4ebBx0k/pkT6Enye7nPKZCyDdwzvt08TZfj6wvr1sGmTvlgcPqwnXl4zDMgc9xY7n3/CNSMdRdx28SLI61/H+PBDnSCXKAFly0Ly5E79FoSIUi4+usjKsyvZfm07O67u4MazG/963Mvdi7hecTnX5xHzc3rQrkLgvx6P5RGLz1J8Rsn0JSmZoSTF0hbD0/19t41c1717sHKlvuG1c6d+E/8md3eoFms9i56X40/Pb+hi+/1fY5yHh54gKFECPv8cypSBuHGd+i2IN0QqWTYMYwMQ0iWol1Jq6avnbCH0ZLkuUP6tZDm/UqpTKOdrA7QBSJs2bZ4rV668Mz4hrOqp/1POPTjHmQdnuPXsFo/8HlF6xAoKrTtJz0UdiOMVh+Rxk5M8bnKyJs5K1iRZ8XL3ev+Bo6iXL+HCBTh7Fq5ehUcPFfWnVuLDm1v5teFBnqb8iA8+gA8+0Ely9uxyYRHCke763uXcg3OcfXCWu753eeT3iGf+z/il0SQOF8/Cxq61SB43OSm9U5I9aXYyJMwQJWaPI+rJEzh3To9hN2/Cy1uP6Tj+E/w9vfm98QG84scieXL9pv6jj/RdNK/oO+Rbjtkzy1KGIcRr334LEybA06dmR2J9o0bpouM//9S3MYUQ1pA0KdSrp39HRciU0gsnFi7U08758pkdkXiPdyXLzngLuA/IbBhGBsMwvIAGwDInnFcI6zEMPYiKdzt2DLp1gwoV9AoXIYR1yDj2fjNmwNy50KePJMpRQKSSZcMwahqGcR0oBKw0DGPtq8+nNAxjFYBSKgjoCKwFTgHzlFInIhe2EC5MLjLv9uKFXuESP75eDPnOZeZCCFPIOBa6ixf13bBixeD7782ORtiBR2S+WCm1GFgcwudvApXe+PcqYFVkziVElCAzMu/XpQucPg3r1ukCZSGEtcg4Fjp/f92OxzBg+vRXLX2Eq4tUsiyECCeZJX23WbPgr7+gZ0+9NFwIYT0yjoXu2291P7j58yGd6/XEFyGLvstWhTCDzMiE7vBh+PJLfeuyTx+zoxFChEbGsZDNmAGjR0PXrlCnjtnRCDuSZFkIZ5OLzH/dv6+78CdOrGdk3rulnxDCVDKO/dvhw9CmjW6YPHiw2dEIO5MyDCGcSWZk/isgQC/ou30b/v5b6pSFsDopw/i3GzegShX9Zn/OHL3biIhS5H9UCGeSi8y/KaVnYzZt0ntgS4slIaxP3vT/3/PnULWq3pFkxw7ZRjSKkmRZCGeTi8z/+fjoJLlPH2ja1OxohBBhJeMYBAfrjUeOHIEVKyBnTrMjEg4iybIQziQzMv83aRL07QstW8KPP5odjRAirGQc099/5846SR41CipWNDsi4UCywE8IZ5IyDG3lSl1+Ua4cjB0rr4sQrkR+X+Gnn3SS3LWr7DIaDUiyLIQzyYwMbNgAtWvDp59K5wshXFF0H8d+/RX694dWrWDoULOjEU4gybIQzhadLzJ//w3Vq0PWrLB2LcSLZ3ZEQoiIiK7j2F9/wXffQb16MG6czLJHE5IsC+FM0XlGZu9eqFwZ0qaF9eshUSKzIxJCRER0HccmTYK2bXV9smxlHa1IsiyEM0XXWYjt26FsWUiaVJdhJEtmdkRCiIiKjuPY+PG67KJcOVi4ELy8zI5IOJEky0I4U3SckdmwAcqX1/1Ht26FVKnMjkgIERnRbRwbNUrPKFeuDEuWQKxYZkcknEySZSGcLTpdZJYv1ztbZcoE27ZB6tRmRySEsIfoMo79+it07KjXWixcCDFjmh2RMIEky0I4U3S6fTlvHtSqpRv1b9ki21gLEVVEh5llm00v5Hu9mG/+fIgRw+yohEkkWRbCmaJLsjxyJDRoAIUK6TIMWcwnRNQR1cexwEBo0eL/s8qzZ0uLy2hOkmUhnOn1RSaqzsq8no35+mt921LawwkR9UTlmWVfX6hRA6ZN072UR4wAN0mVojvZ7loIMygV9WZn/P2hWTOYOxc6dIDhw6W1khBRVVRMlm/f1m/y9+/X3S9atzY7ImERkiwL4UxRdWb54UNdn7x1K/zyi55djmpvBoQQWlT83T56VC9GfvAAFi+GatXMjkhYiCTLQjhTVLzInDoFVavCtWswcyY0amR2REIIR4pqZRgrV+o1FvHj657wn35qdkTCYqQQRwhnimozy6tXQ8GC8OwZbN4sibIQ0UVUGMOUgj/+0LPIWbPqXUYlURYhkGRZCDO4+oVGKfj9d33bMmNG2LcPChc2OyohhDNEhZllf3+90cg33+gFfVu3QsqUZkclLEqSZSGcKSrMLPv7w5dfQteu+iKzfTukTWt2VEIIZ3H1crKrV6FYMfjrL+jZU/dQjhPH7KiEhUnNshDO5OoXmWvXoHZtPZP844/g4yNtlYSIblx5ZnndOl0uFhioF/LVqGF2RMIFyFVOCDO44oVm40b47DM4fRoWLYK+fSVRFiK6crUxzGbTfZMrVIAUKXR7OEmURRjJlU4IZ3LFMgyldDu4cuUgWTI9q1yzptlRCSHM4mozy48e6f7JP/6oZ5V374bMmc2OSrgQKcMQwplcrQzj6VNo3lzfrqxXDyZOhLhxzY5KCGEmVxrHDh/WpWPXrsGff0L79q4Vv7AEmVkWwplcaWb55EnIlw+WLdOdL+bMkURZCOE6M8tTpkChQnpR8tatemdRSZRFBEQqWTYMo65hGCcMw7AZhpH3Hc+7bBjGMcMwDhuGsT8y5xQiSrD6hWbePMifH548gU2bdHslucgIIV6z8hj2ui1cixY6WT54UP8pRARFdmb5OFAL2BaG55ZUSuVWSoWaVAsR5Vl9ZjkgALp0gfr1IVcufZEpXtzsqIQQVmLlmeUrV6BoURg/Hr7/Xne/SJbM7KiEi4tUzbJS6hSAITNOQoSNlX9Xrl/Xdcm7dkHnzjBkCHh5mR2VEMJqrDqOrVsHDRtCUJC0hRN25ayaZQWsMwzjgGEYbZx0TiGsx6ozyxs26G1ejx3TJRh//CGJshAiZFabWbbZoF8/3RYuZUppCyfs7r0zy4ZhbACSh/BQL6XU0jCep4hS6qZhGMmA9YZhnFZKhVi68SqZbgOQVnYFE1GVVS40NhsMGAA//wzZs8PChZA1q9lRCSGszipj2KNH8MUXsHIlNG4M48bJbnzC7t6bLCulykT2JEqpm6/+vGsYxmIgP6HUOSulxgPjAfLmzWuR30Yh7MRKM8sPHuiLzOrV0KQJjB0rFxkhxPtZpQzj0CHdFu76dWkLJxzK4WUYhmHEMQzD+/XfgXLohYFCRD9WGcj37dO78W3cCGPGwLRpkigLIcLGCmUYkydD4cJ6UbK0hRMOFtnWcTUNw7gOFAJWGoax9tXnUxqGserV0z4AthuGcQTYC6xUSq2JzHmFcFlmzywrpZPjokV1LDt2QLt2cpERQoSPWWOYv78es1q2lLZwwmki2w1jMbA4hM/fBCq9+vtFIFdkziNElGPGhcbXV/cenTkTKlaE6dMhcWLnxyGEcG1mzSxfvw516sCePdC9u15v4SEbEQvHk58yIZzJrJnl8+f16vCTJ/Wq8R9+ADfZwFMIEQFm3InaulW3tnzxAhYs0LXKQjiJJMtCOJMZF5k1a3TvUTc3WLsWypZ1fgxCiKjDmTPLSsGIEdC1K2TKBJs36849QjiRTC0JYQZnXGiUgsGDoVIlSJdO9x6VRFkIYQ/OGMN8fXWnni5doEoV2LtXEmVhCplZFsKZnFWG8fy5XgAzf77eunriROl2IYSwD2fMLF+6pEvHjh3Ttck9ekjpmDCNJMtCOJMzyjAuXtQXmRMn9JbV3bpJtwshhP04ejzZvh1q1tTbVq9eDeXLO/Z8QryHJMtCOJOjZ5a3b9eJcnAwrFolFxkhhP05cmZ5yhRo0wYyZIDlyyFLFsecR4hwkHsaQpjBEReamTOhdGndDm7vXkmUhRCOY+8xLDhYt4Nr0QKKF4fduyVRFpYhybIQzuSImWWloE8fvRCmUCHYtQsyZ7bf8YUQ4k32nll+/hxq1YKhQ+Grr3TpRcKE9ju+EJEkZRhCOJO9a/38/eHLL2HGDGjWDMaPBy8v+55DCCHeZM9x7M4dqFwZDh2CkSOhY0f7HVsIO5FkWQhnsufM8pMnUK0abNsG/fvrjUZkIZ8QwtHsNbN8/jxUqAA3b8LSpbo9nBAWJMmyEGaI7IXmzh1dk3zyJMyapTcdEUIIZ4nsGLZ/v+4Bb7PBpk1QsKB94hLCAaRmWQhnssfM8uXLULQonDunV4tLoiyEcKbI3sFatw5KlNC933fskERZWJ4ky0I4U2QvMsePQ5Ei8OABbNggHS+EEM4XmTKM5cuhalX48EPYuROyZrVvbEI4gCTLQjhTZGaWDx7ULZWU0nXKhQrZNzYhhAiLiCbLCxfqrhe5cunSixQp7B+bEA4gybIQZgjvhebgQShTBuLF0xuP5MjhmLiEECIswjuGzZ4N9etD/vywfj0kSuSYuIRwAEmWhXCmiMwsv5kob9kCGTM6JDQhhAiT8JaTTZ+u+8AXKQJr1kD8+I6JSwgHkWRZCGcK70Xm0KF/J8rp0zsiKiGECLvwlGHMnw/Nm0PJkrBqFXh7OzQ0IRxBWscJYYawXGjOntUL+Ly9JVEWQlhLWMaw1auhcWMoXBiWLYPYsR0flxAOIDPLQjhTWMswbtyAsmX139evl0RZCGEdYZlZ3rZNL+b75BNYsUISZeHSZGZZCGcKSxnGw4dQrhw8egSbN0OWLI6PSwghwup9yfLhw3o3vvTppUZZRAmSLAvhTO+bWfbz0z1Iz5/XF5k8eZwXmxBChMW7kuUbN3SiHD++viuWNKlzYxPCASRZFsIMIV1olIIvv9SN+ufP1wtihBDCikIaw54/12/2nzzRLS5Tp3Z+XEI4gCTLQjjTu2aWBw+GmTOhf3+oU8e5cQkhRFiFNLMcHAyNGsGRI3qXvly5zIlNCAeQZFkIZwqtZnnxYvjhB32x+eEH58YkhBDhEdI41qOHTpJHjoRKlZwfkxAOJN0whHCmkGaWjx3TDfsLFIAJE8Lfi1kIIZzp7Znl+fPh11+hfXvo2NG8uIRwEEmWhTDD6wvNs2e65CJePD27HCuWuXEJIURYvB7DTp2Cli2hYEEYNszcmIRwECnDEMKZ3pxZVgratNGdLzZtghQpzI1NCCHC4vU49vw51K6t3+TPnw9eXubGJYSDSLIshDO9WWIxbhzMmQMDBsDnn5sXkxBChMfrMoxvvoHTp2HDBul8IaI0SZaFcKbXyfKpU/pCU768XhgjhBCuwjDg6FHYvRt69oRSpcyOSAiHilTNsmEYQw3DOG0YxlHDMBYbhpEglOdVMAzjjGEY5w3DkMxAiK++gjhxYPJkcJOlA0IIF/PiBeTNCz4+ZkcihMNF9iq9HsihlMoJnAV6vv0EwzDcgVFARSA70NAwjOyRPK8Qrun1zPKNGzB2rNQpCyFcj5cXxI4Ns2ZJnbKIFiJVhqGUWvfGP3cDIe2kkB84r5S6CGAYxhygOnAyMucWwiW9TpYbN5aNR4QQrmngQPD1hcyZzY5ECKewZ81yS2BuCJ9PBVx749/XgQKhHcQwjDZAG4C0adPaMTwhLKBIEb2l9ZAhZkcihBARkyOH2REI4VTvTZYNw9gAJA/hoV5KqaWvntMLCAJmhnSIED4Xwl6/rx5QajwwHiBv3ryhPk8Il5Q2Lfz1l9lRCCGEECKM3pssK6XKvOtxwzCaAVWA0kq9vVk8oGeS07zx79TAzfAEKYQQQgghhBki2w2jAvA9UE0p9SKUp+0DMhuGkcEwDC+gAbAsMucVQgghhBDCGSLbDeNPwBtYbxjGYcMwxgIYhpHSMIxVAEqpIKAjsBY4BcxTSp2I5HmFEEIIIYRwuMh2w/gwlM/fBCq98e9VwKrInEsIIYQQQghnk90QhBBCCCGECIUky0IIIYQQQoRCkmUhhBBCCCFCIcmyEEIIIYQQoZBkWQghhBBCiFBIsiyEEEIIIUQoJFkWQgghhBAiFJIsCyGEEEIIEQpJloUQQgghhAiFoZQyO4ZQGYZxD7hidhwuLglw3+wgohB5Pe1PXlP7k9fUvuT1tD95Te1PXtPISaeUShrSA5ZOlkXkGYaxXymV1+w4ogp5Pe1PXlP7k9fUvuT1tD95Te1PXlPHkTIMIYQQQgghQiHJshBCCCGEEKGQZDnqG292AFGMvJ72J6+p/clral/yetqfvKb2J6+pg0jNshBCCCGEEKGQmWUhhBBCCCFCIclyFGEYRj/DMI4ahnHYMIx1hmGkfOOxnoZhnDcM44xhGOXf+HwewzCOvXpshGEYhjnRW5NhGEMNwzj96nVdbBhGgjcek9c0nAzDqGsYxgnDMGyGYeR96zF5Pe3AMIwKr17D84Zh9DA7HldhGMYkwzDuGoZx/I3PJTIMY71hGOde/ZnwjcdC/HkVmmEYaQzD2GwYxqlXv/OdX31eXtMIMgwjpmEYew3DOPLqNe3z6vPymjqDUko+osAHEO+Nv38NjH319+zAESAGkAG4ALi/emwvUAgwgNVARbO/Dyt9AOUAj1d//wX4RV7TSL2e2YCswBYg7xufl9fTPq+v+6vXLiPg9eo1zW52XK7wARQHPgOOv/G5IUCPV3/vEZbff/n457VLAXz26u/ewNlXr5u8phF/TQ0g7qu/ewJ7gILymjrnQ2aWowil1NM3/hkHeF2MXh2Yo5TyV0pdAs4D+Q3DSIFOsHcp/Zs1DajhzJitTim1TikV9Oqfu4HUr/4ur2kEKPW/9u4gxKoqjuP494eZCC2zkFHIxdCmRW5EcCMo6EIUF8FA1EBtlFy4CxJqJbhyk9uiWUzJgILiIGGLaFMkiFA2BRKk4pCLCAwXof5cnBM+Xvc6b57XN87M7wMPzvvfex+XH2dm/nPvmTues/1bw6bk2Y1twHXbv9v+FzhNyTYWYPs74K++8gFgqo6neDz3GufrKM5zubA9b/tKHd8F5oAxkunQXPxT366tL5NMRyLN8goi6bikm8DbwMe1PAbc7NntVq2N1XF/PZq9R7myCcm0a8mzG205xnBetT0PpfkDXqn15LwIkl4DtlKuhCbTpyBpjaSrwB3gku1kOiJplpcRSd9I+rnhdQDA9jHbm4Fp4Mh/hzV8lJ9QX1UWyrTucwy4T8kVkmmrQfJsOqyhljwXL3mNRnIekKSXgDPA0b67n//btaGWTPvYfmD7Tcpdzm2S3njC7sm0Qy8s9QnE4GzvHnDXL4FZ4BPKb5Obe7ZtAm7X+qaG+qqyUKaSJoF9wK66FACSaatFzNFeybMbbTnGcP6UtNH2fF0SdKfWk/MAJK2lNMrTts/WcjLtgO2/JX0L7CWZjkSuLK8QksZ73u4Hfq3j88CEpHWStgDjwI/1ds1dSdvrEwbeBc6N9KSfc5L2Ah8C+23f69mUTLuVPLtxGRiXtEXSi8AEJdsYznlgso4neTz3GufrEpzfc6t+vX4GzNk+2bMpmQ5J0gbVJzJJWg/spvycT6YjkCvLK8cJSa8DD4E/gEMAtq9JmgF+oSwl+MD2g3rMYeALYD1lPe7F/g9d5U5R/pL4Un1i2Q+2DyXT4Ug6CHwKbABmJV21vSd5dsP2fUlHgK8pT8b43Pa1JT6tZUHSV8BO4GVJtyh35U4AM5LeB24Ab8GC31Oj2AG8A/xU19gCfEQyfRobgSlJaygXOmdsX5D0Pcn0mct/8IuIiIiIaJFlGBERERERLdIsR0RERES0SLMcEREREdEizXJERERERIs0yxERERERLdIsR0RERES0SLMcEREREdEizXJERERERItHntxtFF5fp8sAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, i, color=\"green\", label=\"I\")\n",
"plt.plot(x, q, color=\"blue\", label=\"Q\")\n",
"plt.plot(x, a, color=\"red\", label=\"phase_error\")\n",
"plt.legend(loc=\"best\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"jupyter": {
"outputs_hidden": true
}
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"jupyter": {
"outputs_hidden": true
}
},
"outputs": [],
"source": []
}
],
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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