Created
February 16, 2023 21:00
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "d265ed98", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "c9d8aec5", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"x = np.arange(0,2*np.pi,0.1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 126, | |
"id": "0ea99b41", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"nom = x*0.0\n", | |
"up = np.sin(x)\n", | |
"dn = np.sin(0.5*x)/3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 52, | |
"id": "e15bf1e5", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11c837340>" | |
] | |
}, | |
"execution_count": 52, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r')\n", | |
"ax.plot(x, dn, label='down', color='b')\n", | |
"ax.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 134, | |
"id": "0981d767", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"up_shift = up-nom\n", | |
"dn_shift = dn-nom\n", | |
"mean_shift = np.mean(np.abs([up, dn]).T, axis=1)\n", | |
"which_larger = np.argmax(np.abs([up_shift, dn_shift]).T, axis=1)\n", | |
"which_smaller = 1 - which_larger\n", | |
"\n", | |
"up_sign = np.sign(up_shift)\n", | |
"dn_sign = np.sign(dn_shift)\n", | |
"sign_larger = np.sign(1 - which_larger*2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 135, | |
"id": "ffbbdbb5", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11e86f280>" | |
] | |
}, | |
"execution_count": 135, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"new_up = np.where(which_larger==0, up, -dn)\n", | |
"new_dn = np.where(which_larger==1, sign_smaller*dn, sign_smaller*up)\n", | |
"\n", | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r', alpha=0.3)\n", | |
"ax.plot(x, dn, label='down', color='b', alpha=0.3)\n", | |
"ax.plot(x, new_up, label='new_up', color='r', linestyle='--')\n", | |
"ax.plot(x, new_dn, label='new_dn', color='b', linestyle='--')\n", | |
"ax.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 145, | |
"id": "c45db0d3", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11edf3c70>" | |
] | |
}, | |
"execution_count": 145, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"new_up = np.where(which_larger==0, nom+mean*up_sign, nom-mean*up_sign)\n", | |
"new_dn = np.where(which_larger==1, nom+mean*dn_sign, nom-mean*up_sign)\n", | |
"\n", | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r', alpha=0.3)\n", | |
"ax.plot(x, dn, label='down', color='b', alpha=0.3)\n", | |
"ax.plot(x, new_up, label='new_up', color='r', linestyle='--')\n", | |
"#ax.plot(x, new_dn, label='new_dn', color='b', linestyle='--')\n", | |
"ax.plot(x, nom, color='k', linestyle='--', alpha=0.3, linewidth=2)\n", | |
"ax.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 156, | |
"id": "e466ce6f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11f18b670>" | |
] | |
}, | |
"execution_count": 156, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"new_up = nom+((up-dn)/2.0)\n", | |
"new_dn = nom-((up-dn)/2.0)\n", | |
"\n", | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r', alpha=0.3)\n", | |
"ax.plot(x, dn, label='down', color='b', alpha=0.3)\n", | |
"ax.plot(x, new_up, label='new_up', color='r', linestyle='--')\n", | |
"ax.plot(x, new_dn, label='new_dn', color='b', linestyle='--')\n", | |
"ax.plot(x, nom, color='k', linestyle='--', alpha=0.3, linewidth=2)\n", | |
"ax.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 157, | |
"id": "ab8dcdcd", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11f22eaf0>" | |
] | |
}, | |
"execution_count": 157, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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ItG5Nl+PieDkHxhgDBzjMlIqLdcswtGhBB2JmGh07UtJ2WRn9zWVen4IxxkyNAxxmGoIAnDpFQU6zZlyQztQUCqqPY2cHqNU0HZ8xxqwYBzjMNOLjKfFVpaJlGLhSsenZ2+vn48h8ITzGGDMlDnCY8d29q+tB6NKFi/k1JT8/IDiYLp86RUNWjDFmhTjAYcZVWko5IIIABAXpDras6dx3H63xVVAAnD8vdWsYY0wSHOAw47pwgYr6OTtzMT+p2NgA3bvT5aQkID1d2vYwxpgEmiTAWbNmDUJCQuDg4IDIyEjExsbWeN+BAwdCoVBU2UaOHFl+nylTplT5/bBhw5rirbDa3LlDB1SAckFseLF6yTRvDrRqRZdPn+alHBhjVsfkAc7mzZsxZ84cLFq0CCdPnkTXrl0xdOhQZGRkVHv/X375Bbdu3Srfzp07B5VKhbFjx+rdb9iwYXr3++6770z9VlhtysroQArQUgzNm0vaHAaaOt6sGc1kO3NG6tYwxliTMnmA895772HGjBmYOnUqOnXqhHXr1sHJyQmff/55tff39PSEn59f+bZnzx44OTlVCXDs7e317ufh4WHqt8Jqc+kS5Xw4OtKBlUlPqaShKoWCKhzfvCl1ixhjrMmYNMApKSnBiRMnEB0drXtBpRLR0dE4cuSIQc+xYcMGTJgwAc6VKuDGxMTAx8cH7du3x1NPPYW7d+/W+BzFxcVQq9V6GzOizEwgMZEu89CUvLi5Ae3b0+Vz54DCQmnbwxhjTcSkAc6dO3eg0Wjg6+urd7uvry/S0tLqfHxsbCzOnTuH6dOn690+bNgwfPnll9i3bx9WrlyJAwcOYPjw4dBoNNU+z4oVK+Dm5la+BfPMHuPRaGh5AICqFXt7S9ocVo02bQAPD5rhJv6vGGPVy8+veSsqMvy+lU8marpfAwwcOBDPPfcc5s2bVz7qsXjx4vLfZ2dnY/r06fD29oarqysGDRqE0/dSCHJycqBSqXD8+HEAgFarhaenJ3r37l3++K+//tqg42RMTAwUCgWys7PLb4uLi4NCocD169cBABs3boS7uzu2bt2Ktm3bwsHBAUOHDkVycnKD3nt9yHoW1YYNG9ClSxf06tVL7/YJEybgoYceQpcuXTB69Ghs374dx44dQ0xMTLXPs2DBAuTk5JRvTfGHtRpXrtCX1MEB6NRJ6taw6igUNFSlUlEiOA9VMVYzF5eatzFj9O/r41PzfYcP179vSEj192ugTZs2wdnZGUePHsVbb72F119/HXv27AEAjB07FhkZGdixYwdOnDiBHj16YPDgwcjMzISbmxu6detWfrw8e/YsFAoFTp06hby8PADAgQMHMGDAgAa3rbKCggIsW7YMX375JQ4dOoTs7GxMmDDBaM9fE5MGOF5eXlCpVEivNE01PT0dfn5+tT42Pz8f33//PaZNm1bn67Rq1QpeXl6Ij4+v9vf29vZwdXXV25gRZGcDCQl0uUsXwNZW0uawWjg7A23b0uXz56k3hzFmtsLCwrBo0SK0bdsWkyZNQkREBPbt24e///4bsbGx+PHHHxEREYG2bdvinXfegbu7O3766ScA1AMkBjgxMTF48MEH0bFjR/z999/ltxkzwCktLcXq1asRFRWF8PBwbNq0CYcPH651RrUxmDRZws7ODuHh4di3bx9Gjx4NgLrD9u3bh1mzZtX62B9//BHFxcV4/PHH63ydmzdv4u7du/D39zdGs5khtFoa7hAEWkSzjoCVyUDr1tR7k5cHXLwIhIVJ3SLG5OdeL0a1Ki85U8NsYACU5F/RvSEbYwmr9P319/dHRkYGTp8+jby8PDSvNJO1sLAQCfdOSAcMGIANGzZAo9HgwIEDGDJkCPz8/BATE4OwsDDEx8dj4MCBRmurjY0NevbsWX69Q4cOcHd3x8WLF6uM0BiTybNB58yZg8mTJyMiIgK9evXCqlWrkJ+fj6lTpwIAJk2ahMDAQKxYsULvcRs2bMDo0aOr/JPy8vKwZMkSjBkzBn5+fkhISMC8efPQpk0bDB061NRvh4muXgVyc2lxR15I0zwolRTUHD4M3LhBVaZ59iFj+ipNaJHkvgawrdRjrlAooNVqkZeXB39//2pTNtzd3QEA/fv3R25uLk6ePImDBw9i+fLl8PPzw5tvvomuXbsiICAAbcUe31oo7wVxgiCU31Yqo95hkwc448ePx+3bt7Fw4UKkpaWhW7du2LlzZ3nicVJSUvkfSXT58mX8/fff2L17d5XnU6lUOHPmDDZt2oTs7GwEBARgyJAhWLp0Kezt7U39dhhAgc3Vq3S5SxcKcph5aN6cApvkZKqN078/5egwxixCjx49kJaWBhsbG4SEhFR7H3d3d4SFhWH16tWwtbVFhw4d4OPjg/Hjx2P79u0GD09535tUcuvWrfJSLXHVTGQoKyvD8ePHy3trLl++jOzsbHQ0cUmRJpnPO2vWrBqHpKqLMtu3b68XEVbk6OiIXbt2GbN5rL7OnaOhKT8/ICBA6taw+urUCUhLA9Rqmt4vVjxmjJm96OhoREVFYfTo0XjrrbfQrl07pKam4vfff8cjjzyCiIgIAJSH89FHH+Hf//43AKpB17FjR2zevBlr1qwx6LXatGmD4OBgLF68GMuWLcOVK1fw7rvvVrmfra0tnn32WXz44YewsbHBrFmz0Lt3b5MOTwEyn0XFZCg1lWbiKJVA585St4Y1hJ2dbsbb5ctVp74yxsyWQqHAH3/8gf79+2Pq1Klo164dJkyYgBs3buiVbBkwYAA0Go1ers3AgQOr3FYbW1tbfPfdd7h06RLCwsKwcuVKvPHGG1Xu5+TkhJdeegmPPfYY+vbtCxcXF2zevLmxb7VOCqGmrhILplar4ebmhpycHJ5RVR8aDfDnn3RAbN8eaNdO6haxhhIEysXJzAT8/YF7Z3WMWYuioiIkJiYiNDQUDg4OUjfHYm3cuBGzZ8/Wq5VTl9r+N/U5fnMPDjPc1asU3Dg50YwcZr4UCsqfEpdx4BXHGWMWhgMcZpj8fF3Nm86dq06XZObH1VWXf3PuHPXQMcbYPcuXL4eLi0u12/DKhQxliBcNYoY5f55q33h7c80bS9KuHeVVFRRQD12HDlK3iDEmE08++STGjRtX7e8cHR0Neo4pU6ZgypQpRmyV4TjAYXVLT6dNqeSaN5bGxob+p8eOUQ9dUFCjysczxiyHp6cnPD09pW5Gg/EQFaudVku9NwANZ/DBz/L4+QG+vvS/vnBB6tYwxphRcIDDapeQoFtM04DKlsxMdepECcfp6VQGgDHGzBwHOKxmhYW6isWdOtFwBrNMLi602jFAPXbWVz2CMWZhOMBhNbtwgWbWeHrSgprMsrVrRyvCq9W0KCdjjJkxDnBY9e7codk1Yr0UZvns7HTDkJcuAWVl0raHMcYagQMcVpUg6JJNW7akeinMOoSGUiHHoiJd3SPGGDPQ9evXoVAoql10s6lxgMOqSk0FcnIo56Z9e6lbw5qSUqlbpyohgdepYoyZLQ5wmD6tloYnAKBNGxq2YNbF35/yrjQa4OJFqVvDGGMNwgEO03f9OlW1dXDQlfG3JoIAJCUBO3cC778PzJgBPPww8OCDQEqK7n7LlwPNmwPu7rQuV+/ewKhRwLRpwPz5wI0bkr0FoxBXir95E6jHInmMmbv8/Jq3yh2atd23sNCw+zbEwIED8dxzz2HevHnw9PSEn58fFi9eXP777OxsTJ8+Hd7e3nB1dcWgQYNw+vRpAEBOTg5UKhWOHz8OANBqtfD09ETv3r3LH//1118jODjYoLbExsaie/fucHBwQEREBE6dOqX3+5iYGCgUCuzbtw8RERFwcnJCnz59cPny5Ya9+Xrgeb9Mp7RUNy28fXvLX29KnAqtUNDPZcuAFStq3utkZelmk5WW0krcAA3nXbumf98JEyh/CQA2bADWr6cVu8PD6WfHjvKedu/uTlWNb96kfKw+faRuEWNNorZapiNGAL//rrvu40Png9UZMACIidFdDwmpvsRUQysybNq0CXPmzMHRo0dx5MgRTJkyBX379sWDDz6IsWPHwtHRETt27ICbmxs++eQTDB48GFeuXIGnpye6deuGmJgYRERE4OzZs1AoFDh16hTy8vLg4uKCAwcOYMCAAXW2IS8vD//3f/+HBx98EF9//TUSExPx/PPPV3vfV155Be+++y68vb3x5JNP4oknnsChQ4ca9uYNJOM9LGtyCQlASQl9ww2M3s1OZiawZw+wYwewaxdw8KBu5pCLCwU3trZ0W6dOFIgEBQHOzvpT5Z98Ehg3jnJW7twBbt/W3yr+/Q4dAo4epU3k6Ajcfz/wr38Bjz4qz0TuDh0oH+vuXSAtjdcgY0xGwsLCsGjRIgBA27ZtsXr1auzbtw+Ojo6IjY1FRkYG7O3tAQDvvPMOtm7dip9++gkzZ87EwIEDERMTgxdffBExMTF48MEHcenSJfz9998YNmwYYmJiMG/evDrb8O2330Kr1WLDhg1wcHBA586dcfPmTTz11FNV7rts2bLyoGn+/PkYOXIkioqK4ODgYMS/ij4OcBipOGumY0ddr4YliI8HvvuOgpqjRynPSLRjhy7AefRRYNgwGpqzta39OX19aQPqTsReuBAYMgQ4fpy2EyeAvDxg925g717gkUd0AU5hIQU/cuDoSMNvV69SL46PDwV0jFmwvLyaf1e5Uzsjo+b7Vv6qXL/e4CZVKywsTO+6v78/MjIycPr0aeTl5aF58+Z6vy8sLETCvX38gAEDsGHDBmg0Ghw4cABDhgyBn58fYmJiEBYWhvj4eAwcOLDONly8eBFhYWF6QUpUVFSd7fX39wcAZGRkoEWLFga934bgAIeRy5fpwO/paVln6jt2UL9yRZ07A8OHUzDTr5/udh8f2owtJIS2CRPoulZLybvbt1OuTsXXHDGChrzGjgWmT6fV26XUpg3lJOXn0x7aGvOymFVxdpb+voawrXQSplAooNVqkZeXB39/f8RUHB+7x93dHQDQv39/5Obm4uTJkzh48CCWL18OPz8/vPnmm+jatSsCAgLQ1shL81Rsr+LeCbS24smmCXCAw4DcXCA5mS6LU4TN1fXrNKwi5owMGAB4eAC9egFjxlBQI/Xwm1JJQZaYyCtSq4HDh2mY8NQpYMkS4LHHgOeeA7p1k6Sp5aUCzpyhnpwWLeSdO8SYlevRowfS0tJgY2ODEHH5lUrc3d0RFhaG1atXw9bWFh06dICPjw/Gjx+P7du3G5R/AwAdO3bEV199pTfU9M8//xjrrTQa9zcz6k0QBJoe7OEhdWvqTxBouGfECOphmD5dl7nn5AQkJtKsqBkzpA9uauPqSjO1PvsM6NkTKC4GvvgC6N6dArU//5SmXcHBdPpZUkJ/S8aYbEVHRyMqKgqjR4/G7t27cf36dRw+fBivvPJK+cwpgGZiffPNN+XBjKenJzp27IjNmzcbHOA89thjUCgUmDFjBi5cuIA//vgD77zzjkneV0NwgGPt7t6lFaQVCsq9MTd//UUH/6FDaThKECgZuOLUZjc3yZpXb15eNNX86FHqzRk/ngb+Dx40/iC+oZRKXZ5RQgLNIGOMyZJCocAff/yB/v37Y+rUqWjXrh0mTJiAGzduwFfMGwTl4Wg0Gr1cm4EDB1a5rTYuLi747bffcPbsWXTv3h2vvPIKVq5caeR31HAKQbC+ZYPVajXc3NyQk5MDVznOXmlKf/1FwUBIiHmtOXXmDDBvHs2EAgB7e5rZNGsW5Y1Ykps3qVfnpZd0CchbttDMpunT606INgZBoCBLraak7A4dTP+ajJlQUVEREhMTERoaatKZPKz+avvf1Of4zT041iw1lYIblYpWkjYnt25RcGNjQ4FNQgKwapXlBTcATVNfvFgX3BQXA3PmAE8/TXk8P/3U8GIahlIodL04165RGxhjTMY4wLFWgqBbkqF1a+oBkbP0dOC333TXhwwB3niDZn+tXatfo8bSKZXA3Lk0w+rqVZpx1bs3cOCAaV/Xz48KAGo0uoKQjDGLtXz5cri4uFS7DR8+XOrm1YmHqKx1iOrmTZqpY2cHDB4s35kxggB8/jnw4os0vToxkaayM5r99s47wLvv6qovjxxJt5lqCOn2beCffyjIGjRIPjV7GKsnHqKqW2ZmJjLFiu2VODo6ItBEJ5Y8RMUaTqsFrlyhy61byze4uXIFeOAByjPJzqa2ZmVJ3Sr5aNaMppLHxwNPPUVDjb//btpkZG9vSoSu+BlijFkkT09PtGnTptrNVMGNMXGAY41u3qQzfjs7IDRU6tZUVVJCw09hYTTs4uREvRKxsRTkMH1+fsDHH1O14fffp1o/IlMEhGLvUHJyw1cLZEwmrHAQQ/aM9T/hAMfaaLW6/Im2beW3oGZxMdWAee01ujx0KHDuHOWcyLWnSS7atQNmz9ZdT0mhgPCFF2qvP19fHh60TIUgUA4UY2ZIrKxbUNNqmUwy4v+kcrXm+uIjhrVJTqblb+3tdatdy4m9PTBwIM2SWrWK1oeypHWxmtKWLdSDs2oVXf7kEwoYjaFDB0r8TkmhmWvWmsvGzJZKpYK7uzsy7i0o5eTkVL6EAJOGIAgoKChARkYG3N3doWrkCTgnGVvTjlmrpWq4hYXAfffJZ3gqKYmSVoOC6HpuLg1TVVosjjXArl3Af/9La14BwOTJwEcfUf5OY504QaUGfH1pKQzGzIwgCEhLS0N2xcKgTHLu7u7w8/OrNuCsz/G7SQKcNWvW4O2330ZaWhq6du2Kjz76CL1q2CFu3LgRU6dO1bvN3t4eRUVF5dcFQcCiRYuwfv16ZGdno2/fvli7dq3Bi4NZbYBz/Tpw9izg4EAzp+SwMvS2bcCUKbQGVkwMD0OZQl4eDfl98AENK7VtC2zeTEtANEZ+PrB/Pz1nv37mucwHYwA0Gg1KuUK3LNja2tbac1Of47fJjyabN2/GnDlzsG7dOkRGRmLVqlUYOnQoLl++DJ8aVm52dXXF5Qpj+5WjuLfeegsffvghNm3ahNDQULz22msYOnQoLly4wNP9alI590bq4KakhCrzrlpF14uLgcxM06zmbe1cXCj5eMwYWrzz6lWaev/RR417XmdnWqcqKYlqKkVFGae9jDUxlUrV6OEQJj8mP8q99957mDFjBqZOnYpOnTph3bp1cHJywueff17jYxQKBfz8/Mq3iutnCIKAVatW4dVXX8XDDz+MsLAwfPnll0hNTcXWrVtN/XbM140bQFER1S1p0ULatiQkAH376oKbOXOAQ4c4uDG1fv2AuDj6e7/9tnGes107ypG6c4cCVMYYkwmTBjglJSU4ceIEoqOjdS+oVCI6OhpHjhyp8XF5eXlo2bIlgoOD8fDDD+P8+fPlv0tMTERaWprec7q5uSEyMrLG5ywuLoZardbbrErFyrNS995s2QL06AEcP04F+7Zto0J1dnbStcmaeHrS31vs6dRoKC/n8OGGPZ+jo26Fdq6LwxiTEZMe6e7cuQONRqPXAwMAvr6+SEtLq/Yx7du3x+eff45ff/0VX3/9NbRaLfr06YObN28CQPnj6vOcK1asgJubW/kWLO6QrcWNGzQEVPFgJIXSUuDVV2nBRrE3YdQo6drDgDVrgC+/BPr3B1asoKHM+mrblnpxbt/WX8WdMcYkJIMsU31RUVGYNGkSunXrhgEDBuCXX36Bt7c3PvnkkwY/54IFC5CTk1O+JScnG7HFMlex96ZdO2l7b2xtqcdm/nxKTrW2QFOOpk6lvByNBnj5ZWDcuPoX73Ny0s2A414cxphMmPRo5+XlBZVKhfT0dL3b09PT4efnZ9Bz2Nraonv37oiPjweA8sfV5znt7e3h6uqqt1mNxERK6K14EGpKd+4AP/+su966NfUU8GwpeWjWDPj6a2D9egpAf/6Z8qPEaeWGEntx0tOBnBzTtJUxxurBpAGOnZ0dwsPDsW/fvvLbtFot9u3bhygDZ1xoNBqcPXsW/v7+AIDQ0FD4+fnpPadarcbRo0cNfk6rUVZGCb2ANL03Fy8CkZHUK7BzZ9O+NjOcQkHrfe3fT4nep09TNen65OU4OwMBAXSZe3EYYzJg8iPenDlzsH79emzatAkXL17EU089hfz8/PJaN5MmTcKCBQvK7//6669j9+7duHbtGk6ePInHH38cN27cwPTp0wHQDKvZs2fjjTfewLZt23D27FlMmjQJAQEBGD16tKnfjnm5cYN6b5ydm773ZvdumjZ87RoQEiL9zC1Wt759gWPHgK5dqXZOfUsutGtHP9PSKM+KMcYkZPJxgvHjx+P27dtYuHAh0tLS0K1bN+zcubM8STgpKQnKCj0LWVlZmDFjBtLS0uDh4YHw8HAcPnwYnTp1Kr/PvHnzkJ+fj5kzZyI7Oxv9+vXDzp07uQZORVqtrvemTZumXe7gk0+AZ56hvI5+/WjmlJdX070+a7gWLWjK/qlTNNutPlxcqBcnNZXyvsLDTdNGxhgzAC/VYKn5OGLVYkdHYNCgphmeEgRg+XKaKQUAkyYBn35K60sx8xUbS//XjRsBd/fa76tW0wrwAK0pZowlIRhj7J76HL9lN4uKGYFWC9xLykbr1k2Xe7N7ty64WbiQDogc3Ji3sjJg4kTg119pKnlqau33d3UF7uXLlc/eY4wxCXCAY4lSUmhBTXv7ps19GTIEeO45WhZgyRJeBdwS2NgAP/wA+PlRj2BUFC3LUBtxTbjUVMrlYYwxCXCAY2kEQdd706oVYOr1VUpKgIICuqxQ0IKOs2eb9jVZ0+reHThyhJKIk5Ior+qff2q+v5sbrTAuCNyLwxiTDAc4lubWLTprtrWl2UumVFAAPPwwLeJYUmLa12LSCgkB/v4b6NULuHuX8rr++KPm+4szqlJS6l84kDHGjIADHEsjnjGHhpq2mF5ODjB0KNW3OXCAhi+YZfP2BvbtA4YNoyHQ9eupl6Y67u5UU6dijyJjjDUhDnAsSXo6zWKxsaHhKVMRz+D//puGI/bs4SnB1sLFhZbbeOMN4Jtvas+zEntxkpMpIGKMsSbEAY4lEXtvWrakISpTyMoCHnwQOHmSzuhjYqhAHLMetrbAK6/Q8h8A9dL8+mvV3hwPD6p/JAhU8JExxpoQBziW4s4dCj6USpoabgrisNSpU7rgpls307wWMx+vvQaMHk3FHSuvRt6mDf0Uq2ozxlgT4QDHUoi9Ny1amK72THw8TRH29AT27gUqVJdmVqxVKxqqWrsWmDmTKliLvL1pGFOjoYVfGWOsiXCAYwmysqgHR6HQnTGbQng45dvs2QOEhZnudZh5eeIJ4MsvqfdwwwZgyhQqECgSP5OJifq3M8aYCXGAYwnE3pvgYFqawZgKC/ULu0VG1n+NImb5Hn8c+O47qrv09dfAY48BpaX0O39/WvC1tJTq6DDGWBMw+WKbzMTUapo9ZYrem6Ii4JFHaC0ininF6jJuHGBnRz9//JGGpX76iT6brVsDZ87QArAhIU23fAizXBoNsH8/7f80GgqubWx0P7299SdACAJXV7cyHOCYO7HGiHiWbCwlJcDYscCuXTRbhou1MUOMHg1s3Qr8+9/A//2f7oASHAxcvkxBc0oKXWesNqmpwPHjtJ05Q9fDwynXC6DP1ogRup7Cyvr31y38CgAdOtB+rWVL3damDRWvbN+egx8LxAGOOSss1C1+aMzeG60WmDwZ2L4dcHAAfvuNdhaMGWLECOqpERfdBKjHplUr4OJFCsqDgviAwqrSaIB//Qs4doyqsldmZ6e7rFTSfkkQqHRBWRk9XqOhy/fdp/+8167R7devV33eqCjg8GHd9eJiXijYAnCAY86uXaMvtzhTxRgEgdaS+v572mls3UpF/Rirj4rBTUYGsGwZsHw5BTd5eTSs4OcnXfuY9G7epKKRd+9SqQGAhpcuXaLgRqkEOncGIiIo769FC+p1qWjvXsNeS6mk/eWNG7otKQm4cIGCqYozQktLaZ/ati0wciT1RnbpwgG5GVIIQk211i2XWq2Gm5sbcnJy4OrqKnVzGqakhL7cGg3Quzd9IY1h+XIq4gZQ0uiECcZ5XmadtFpKTD9+nNYtW7qUzqA9PGjRTmY9BIECiq1bqTDksWN0u6MjzQIVC0fu3Ak0a0aLvIq3mVJJCZCbCzRvTtdPnao6kaJNGwp0xoyhYTIOdiRTn+M3Z/qZqxs3KLhxdTVecFNaSjk3AK0KzsENayylEnjzTeru//VXYPFiOtBlZdGZO7MOX31FvST33Qe8+ioFNwoF0KcPsGSJfvmAYcMoObgpghuAhr3E4AagwCopiUofjB5Nn934ePoc9+wJrFzZNO1ijcYBjjkSx5MB4+be2NrS2dM33wDPPWe852XWbfBgYMsWOpD88gvwySf0GeZFOC1bxcGBlBQaerK3p+Tz9etpGOrQIeB//6MTNTkJDgb+8x/63N6+TUP2Y8dS0DVsmO5+cXHA5s01JzozSfEQldy+WIa4cYNmFTg60sGjsd2lqalAQIBx2sZYTbZtoy7+sjIgOhqYNQt44AH5HdxYwxUXAz//DKxZQydJ48fT7bdv0+0TJ9Lwk7kqKKD9rrjPnTCBAhx/f+DJJ6mSN+eWmRQPUVkyQaAZKgDVFmlscHP2LCXyvfRS1cUSGTOmhx6ivC6lkvLHvvuOe3EsRWEh8O67lAg8cSLNSPrkE93vvb0pADDn4AagHpyK+9wuXSiguXULWLRI9/6PHpWujawc9+CY29njrVuUsGlrS6t6q1QNf64bN2gMPDWVxrz37qVp4YyZ0rffAgsXAgsWAL6+1Itzr4aTVku9/WVl+rN+K29aLW2CUPWnuFVW8bikVNL1ij/FyypV1U2sH6dS0VfPhuefkpISWp7jjTd0JSsCA4H//heYPl1/Np2lKimh3qnVq/Wnmk+ZAnzxhWTNslT1OX7z19TciGe8oaGNC26ys4Hhw2mn1LkzDR9wcMOMRKul0YriYtr/6233PYayr8ag+Hw8Ss7moOxWOspatEJZWdXFyOVKoaAgx8aGAh5xs7OrebO3t8DAaOxY2ncA1HuxaBHlrtjaStuupmRnBzz6KG0nTwIffkjLlXTrJnXLrJ6lfd0s2927FJgolRTgNFRpKU15vHiRzrZ27qQVwhmrgyBQ0FJYSEWJCwtpE4OZ4mK6ve6cS3vAMRgoyIfvvi1wclYicfQL5b8Vg4fqelNUKl2Pi9jrUrE3Rtxqew9ij0/F3h/xcnU9RmJvUlmZ7vGlpbQVFhr+91Op6DzC3l7/p4MDpXY4OtJl2a5kodXSH0IMYKZNo6VcXnkFmDGDi+P16AFs3EgzxYKCdLf//DNtixcD7dpJ1TqrwwGOORF7b1q00K/oWR+CADz1FLBvHw0LbN+u/0VkVk0QKEApKKi6iUGNoYPaCgUd7+ztdb0Y+r0crnC4fQmey+dBodWiXZQnlFMmQ6WSd5kRjUY3jFbxZ2lpNb1V97biYl2wlJ9f98onYsDj4EBpH05O9HV1cqLbJQmATp+mfcfo0cC8eXTbqFGUMN5UU7rNRcXZrYJAPVvnz1NC8uTJVA8qMFC69lkJzsExlxwctZrWVVEo9HIW6u2ff6gsuVJJXcsjRxq3nUz2xCAmL093sBUvFxbWPUwkBi4VexzETQxo7O0pmKkzULl5k2ZT/fordW/8/DMVBLRAZWW6Hq7KPyv2hhny93dw0AU8Li502cWFrhs9+MnLo56HVasoQmvZkiY6NGaI3NrExVHe2W+/0XUXF6r/8+yz1jWcZwT1OX5zgGMuAc6pU3QwCAho/KreP/xAlUOffto4bWOypNVS0JKbq9vEYKa2g6hCoes1qLiJAY29vRF7WLRaSm5/6y3qVbS3B3bsoCDeSlUcAhR7zgoK6H9XUEAxRk3E/52Li25r1oy2euf/CAJVHX7uOdr3AJRz8/773PvQUEeP0lI4//xD1zt3Bj79lCZ7MINwkrGlKSykQlkATQ1vrHHjGv8cTDYEgQ58ajVtFYOZmk5flMrqz/6dnal3oMmGiJRK+kzPmkVH9EOHaDr5/v20BpEVEnvAalJcrAt2KvbA5eXpD4Glp+s/ztFRF+w0a0blh5o1q6HHJykJeOYZGsIGKOdvzRqamMAaLjKSPuMbN1JpjvPnqao3MwkOcMyBuKimlxfg7l7/x9+4QTUoPvuMz7zMXFmZLpCpGNBUrHRfkY2N/kFNDGgql/OQVIsWwJUrwAsvUKP+/puqxZ48Sb9jesQAqLp5AeLQY8UtN1d/CCwjQ3d/hUIX7Li60pq9rq6AXU4O9aTZ2lK+zcsvc56NsSiVwBNPUC7T5s36aQJxcdSrw8NWRsFDVHIfoiotpS78sjKK/n186vf4nByqcXP+PDBiBPD776ZpJzM6MZjJzqZ/Y04OHbCq+8YqlXSgcnPTD2jMZub/hQuU1+HoSAfTnj2Bjz6S8XQi81JaquvZE4NitVp/tpuypAhaO/rAODgAbWI+g6JfXzhHdISbW8PnNTADpacD7dtTj+amTbRuF6uCh6gsSVISHemaNat/cFNWRqXSz5+nglsVK4syWdFq6aCTlUUBTXZ2zcGMg4PujFvcXFxk1CPTEKGh1FNZWEjr/wQEmPkbkhdbW+rxqdzrU1hIgY72u83wWvo8Tr65Gxl+YSgqAs71ng6UAbiXLuLoSB3I7u60GLybmwXW9ZHSpUuUuH3yJOVZvv468OKLnMzdCPzxlDNBABIT6XKrVvV//Lx5tDq4kxNl7/N0cNkoKqJgRtxycqpPHnVwoAOJuzv9dHMzo16Z+nB0pKAmJYXOZMWh1NJS4O23KTGTh0iMzrFUDcd5z9LK2QAi/34XZRs2lfccips4w66wkIqpA7rhLQ8P3ebszHFpgw0YQCejM2ZQ7tP8+TS7cONGrp3TQE3S/7tmzRqEhITAwcEBkZGRiI2NrfG+69evx/333w8PDw94eHggOjq6yv2nTJkChUKhtw2ruMKrpUhNpT2KnV39g5NNm2i2A0A7r8bOvGINJgh0lnz9Op2c7d0L7NlDK24kJACZmbraad7eQNu2QK9etBLHgw/S5XbtaFUDiwxuRGICvfi5B4BJk6iI3KOP1pxoxBrm8GGqtvvllzQU+NprwGefwcaGenpataK6dYMGUUpUVBTQqRN1Bjs66j7XN25Q6sj+/XQ+dfQocPUq1SWtbcYXq4afH5Xv+OIL6po9coT+R6tXS90ys2TyHpzNmzdjzpw5WLduHSIjI7Fq1SoMHToUly9fhk81Qy4xMTF49NFH0adPHzg4OGDlypUYMmQIzp8/j8AKCbLDhg3DFxXW+bC3xAqa167Rz9DQ+uUiHD1Ka8EAVHthzBjjt43VSKulXpm7dyl4ycqqemxWKGj/JXb389kvqHvKy4tKGFy7RsmWzzxDU5W3baOyBp98YuV/JCPQaKjQ3NKl9GENCQG++gro16/Gh9ja0r/Gy0t3W3W9kKWllMQsJjIrlfRvFYfHPD05l6dOCgWtYzVoEFWK3ruXhq9YvZk8yTgyMhI9e/bE6nsRqFarRXBwMJ599lnMnz+/zsdrNBp4eHhg9erVmDRpEgDqwcnOzsbWrVsb1CazSDLOzKTphEolncbXZ6+QmEjF0lq3psJpnKhpUhqNLqC5e5cuV64zY2NDQYy4k3d35/yFamVkUIBuY0MVcm1tKcAZM4b+qIsXU1VY1nCff04HTgB4/HHqHXBza/TTinlkmZm03b1LU9orc3UFmjenYIkDnjoIAvXGjx2rK+5aUmLVfzTZJBmXlJTgxIkTWLBgQfltSqUS0dHROHLkiEHPUVBQgNLSUnhWyo6LiYmBj48PPDw8MGjQILzxxhto3rx5tc9RXFyM4grfNLVa3YB308QSEuhnUFD9P8yhodT9LAgc3JiA2ENz+7ZuebDKAY29Pe3EPT3pZ7Nm3PFgEB8f+mPl5lKCfevWNJ12zRpaJmDxYhojmTlT6paar8mTaTblv/4FTJxotKcVe2vc3HRL5RUU6IKdzExKnBfLG4jphWLAIwY9PEO6ArE3R6TR0LTy9u2Bd96x8DHrxjNpgHPnzh1oNBr4+vrq3e7r64tLBna5vfTSSwgICEB0dHT5bcOGDcO//vUvhIaGIiEhAS+//DKGDx+OI0eOQFVNxvmKFSuwZMmSxr2ZppSfD6Sl0WVDC/sJAg2Ed+9O111cTNI0ayQI1P1+5w5tYs5MRQ4O+jvphq6kwUDJH6dP0zCVODz75JOUm7N0KQU6fn5UEJAZ5vffgcGD6YMqLonRBMQq2GIKYXGxrqfz7l3ddPWKAY+7u244zNOTJxHpOXCAhqz27qWT2B9+0F/3iumRdSf5m2++ie+//x4xMTFwqBCpTpgwofxyly5dEBYWhtatWyMmJgaDBw+u8jwLFizAnDlzyq+r1WoEBwebtvGNIebe+PgYHqisWgXMnQu8+aZuITzWYAUF1ENz+zYFNZVXx7a31+2EmzfngMaogoIo56CoiIIa8ei4ZAld/+EH/oMbqqyM9gfvvw9Mnw6sXy9pc+ztabJcQABdrxjw3LlDPTzizK34eIptPT3pe+bjQ709Vt0TOmgQ8McfwH/+Q8v39OhBBVy5On21TBrgeHl5QaVSIb1SzfD09HT4+fnV+th33nkHb775Jvbu3YuwsLBa79uqVSt4eXkhPj6+2gDH3t7efJKQS0uB5GS6bGjvzZ49VC9BELjLsoHKymgne/s2pYFUXu3ZxkYX0Hh50SgKMxGlknpuLl2iYF8McBQKYN06OmDztNm6ZWRQHayYGLru40P7CBlFCJUDnqIiCnTEEwvx+p079HGws6OZhuJmlbu74cOpt/7RR6nqt/g/fu89K/2D1MykAY6dnR3Cw8Oxb98+jB49GgAlGe/btw+zZs2q8XFvvfUWli1bhl27diHCgPVobt68ibt378Lf399YTZfOjRs0/uHqqj9loSYJCfQB12qBqVNpdVpmELVaN+OjcmKwQkFJwT4+uhUyZHRcsHwtW9Jc45wcijzF/DobG/3g5soVSvqoNAxu9eLiaAgvOZl6gTdtopwbmXNwoHhWjGnz8vQDnpISKpUkLs3n6kqBjo8P9fRYTcphUBDNy1+4EFixAli7lupHNdHQo7kw+RDVnDlzMHnyZERERKBXr15YtWoV8vPzMXXqVADApEmTEBgYiBUrVgAAVq5ciYULF+Lbb79FSEgI0u7lori4uMDFxQV5eXlYsmQJxowZAz8/PyQkJGDevHlo06YNhg4dauq3Y1parW4g2pDem4IC2mllZQG9e9OHnI/CNSoro51kRgbtC4qK9H/v7Kw7M/Ty4llOkhJrP924Qb041U0g+OcfSrhs3Zp29jxsRXbsoCGLvDwKBrdsoQI2ZkhcET0kRD+5PyODYl8xfychgb6v3t4U61pF746NDbB8OdC/P+Wl8ezCKky+Cx8/fjxu376NhQsXIi0tDd26dcPOnTvLE4+TkpKgrBB2r127FiUlJfj3v/+t9zyLFi3C4sWLoVKpcObMGWzatAnZ2dkICAjAkCFDsHTpUvMZhqpJaioddR0cdH22NREEmkly5gydvvz0U+1LEFspcVXl9HRKDq7YS6NS6cb2vb35+Cg7rVpRgJOWRv/Iyv8gT08K6I8do+76LVs4IzU3l/Iz8vIoqfinnxq2QK8MKZW6RP4OHag3Rwx2MjLo+q1bukrLYseej4+F98AOG0a9nRXPyM6fp6DWYt+0YXixTTnVwTlwgE5HOnSgcra12buX6uOoVMC+fVTmm0EQ6CwvLY2Cmrw8/d87O9MOz8eHdpTWfjyUvaNH6egVGlr94oOHD1PiZXExFQJcvdrqd+r480/g22+Bjz+2mnop4kzH9HT6uGRn6//e3p6CHbF3x6K/94cPAwMHAo89RjlrFtaVVZ/jNwc4cglw7tyhstwqFQUuhhSDWL+eenysPO+mrIzO5MSgpuKMJ4WCAhlx58a9NGbm9m0aiqpY+K+yn3+mQmiCQOtWvfhi07dTSsXFdAbPq0+XKy7W9exkZOhXElcqdUNZFrn8yfr1VFZBq6V1Xn75Rbe2mwXgAKcOsgxwYmPp6BwSAnTpInVrZK+4mP5caWl0DKw49GRrSz00fn60I+PCYWYuJoaGXjp1qjk37f33AbEUxPffU+K9NcjKAh55hOoGHT4MdOwodYtkR6ulPHVxqLqgQP/37u60r/D3t6DyYXv3Uh5WVha9uZ9/Bvr0kbpVRsEBTh1kF+Dk5VGSJEDd7TV1M5SW0oJ48+ZR/oGVEesfpqVRPk1Fzs70Pfb11aVmMAuRlEQHcEdHyiup7p8rCLTi+Icf0n327LH8D8H168CIEcDFi1S34NdfgQcekLpVspebq+vtzcrS/52LC+1H/PwsIG8nIYGqgJ87R2d569dTFWszxwFOHWQX4Jw9SzsrX1/qUqzJ88/TDrxrV1qW2grmRKrVtDO6dYsuVySeefn5cV0ai6bR0BlpSQkQHl5zAr5GQ9+Pp56ywHGHSi5coKHs1FQafvjjD6COemGsqqIiXU/wnTv6PcEODrqenebNzTTYycujoOaXX+j6nj001GvGOMCpg6wCnNJS+tBpNEBUVM21b779VrduzK+/WnSZ+uxs3WyIigX3FAr684hBjaUfw1gFly9TzRsPj1pXva6iuNjyZheePAkMHUpH5M6dgZ07dYVjWIOJK6GnpVXN27Gz0wU7Xl5mdm6p1VLPf0ICHUfMqvFVyWaxTWaApKS6C/udPQvMmEGXX3nFIoObrCw6Gb11Cygs1N0uJgT6+9MOhvNprFRICNXuz8qizcOj9vtrtcDLL9PMxD//pOEtS3D6NA1DqdVARAQFNzUsMszqx9aWOsMCA+njc+eO7kSrpIR21UlJdD9fX9on+fiYQbygVALLltGbEhtbWEjJSBb+2eEAR0qCoCvs16pV9fdRq4ExY+jDOGQIrcdjIWoKalQq/R0IF9xjsLenI09yMn1n6gpwUlOBTz+lD9l//kPrV8n+SGSAdu1oQV1BAH77jU6MmNEplbpyEmFhlKScmkq9O8XFwM2btNnY0IlXQACdiMn6IyY2TqulFcpPnqShzbpKkpgxHqKScgeRmgqcOEH9nw8+WPXbIQiUCf/TT0BwMH0gDVm+QcZqC2oq7igsuk4Faxi1mnpkFApKJK6rV+bgQfpelZTQ1PG3326adppabi59QZycpG6J1RHrbN26pavLKrK11Q1jyTrYuXWL0iFu3KAZGVu3AvffL3WrDMY5OHWQTYBz6BBNB2rXDmjfvurv09Log5iSQjvr3r2bvo1GoFbTW0hN1Z+iyUENq7cjR2jsoE0bw6ZEV8xdW7OGigGamy+/pPyjN96QuiWsAjHYEU/YKgc7/v60b/PykmGCcno6pTrExtIJ9saNVA3cDHCAUwdZBDjZ2cBff1GYHx1dcyJkVhatGDtqVJM2r7Hy8nRBTcVqwhzUsEZJT6edsq0tfW8MGb984w1KslQqgW3baP0qc/Hxx8Azz9Dl7dvNq+1WpGKwk5pKw1giOzva3wUG0siqbIKdggIavhVnWL37rq6WlIxxgFMHWQQ4J09SBBAURGPqFQmCjL4Fhiss1K30W3FKt1JJOTUBAfSTgxrWYIJANaPy86kgZkiIYY+ZNg344gsqdHLtGkXXcvfRR8Bzz9Hl558H3ntPxuMeTCQI1DGfkqJLUBaJywwGBdFaWZLTaoG5c4FVq+j6okXA4sVStqhOPItK7oqKKMwHqiYXa7WUVDx8OM2cknmgU1JCbyUlRb/4nkJBCXoBAdRjw4nCzCgUClqX6tw5ClRatqz7O6JQAJ98QnN/J040j+Bm9WpdcDN/Pq0aLfN9ASPi8jDNm9PqGXfv6oKdoiL62F67RsVJg4KoZ0eyJWSUSgqc/f0puBk0SKKGmAb34EjRg3PpEq0d07x51fLZYne6gwPV/mjRounbV4eyMkoPSkmhZRIqfoKaN6cvrL+/1azzx5paWRkV/istpcKYvr6GPc5cekbXrAFmzaLLHNxYDK2WYuyUFBpp1Wh0v3N3p/1mQICE9b1u3jSLekrcgyNnGg1lrwNVe2/27QMWLqTLa9fKKrgRBApmbt6k4Kbil9PNTVc/govvMZOzsaHvRkICTRk3NMCpGCSkpgLvvAOsXCmv4koXLugWz33pJQ5uLIhSqStSWvkkMTubtgsXKClZPEls0p7visHN2bOUj/PNN9QVb6Y4wGlqKSk0ruPkpL9jTkmh5e0FAXjiCapTIAPZ2RTUVE6cc3bWBTUWs0AdMx8hIdTPf/s2TZuuz1odZWU0zfzSJcrlWbdOPkFEp050cpOYCKxYIZ92MaOysaF4IiiI9qu3bumG+W/fpu3sWQqGgoKauHqyIFDy8enTQN++wK5dNddpkzkeomrqISpxZeTOnXUfmrIyGvv86y+qKvXPP5JWXi0o0BWyqrhUgp2dLqipq84aYyZ3/DgdGVq2rP86TL/+SqtwCwL14sybZ5o2GqqkhMd0GQoKKNBJTq5+3xsURMNZJnflChWWvXGDoqxdu2Sz1hnPoqqDZAHO7dsUvNjY0BRXsWv8lVeoK7pZMyr8J0FlydJSOlYkJ+snC4vTupv8LIKxuty9Cxw+TB/SBx+s/1DTBx/QCuQAVToeO9boTTTIp5/SdPC9e82+kCcznuxs3azUir3nLi663h+TngenptJklzNnKKr64w+qyyYxzsGRq2vX6GdwsP7O2MmJIofPPmvS4Ear1c+rqbiSrpcXfYGafByYMUM1b05LFajVdKbZpk39Hv/cc7S+1erV1CUfFNT0O/CNG4H//pcub9pEU3YZA8UU7u40allxP52XR6Orly7RVyAoiJKTjb6fDgigEYf/+z86kYiOpqrHDz5o5BcyHe7BaaoenLw8qt8B0HBU5XmBV682WXCTk6MbgqpYo6FZM92ZAScLM7OQnAzExdEHdvDg+ncxajTA6NFURM/bm3pYmyrf4KefgPHj6czi+eeB99/nnBtWq7Iy6mm/eZMKeouUSjoZDQqij7FRP0b5+cC//gXs3k2r2O/YIennlHtw5EhcVNPXl4KbsjIaFxL7GE0c3FRcIK5iET5xDUPZFJ5irD4CA4GLF6nASFoanXXWh0oFfPcd0L8/RftNVYXyjz9oUoFWC0yfzsENM4iNDQ0ABAdTYVVxny5Wjk9JoVg/MJDuU5/c+xo5O1MF8DfeAP73P7P6nHIPTlP04JSWAnv20NliVBSN/7zyCp01/vgjrUVlAlot7fOTk/Xr1YjTFYOCaAagGX1eGavq8mVKivT0pFkfDZGWRicbTRHlHzgADBtGQdmECcDXX3N5b9Yo4mzXmzfpcCNyc6NAJzDQBDnsf/0lySKd3IMjN0lJFNw0a0bBza5dlFQMUPe6kQOc7GwKalJS9D/sHh70YQ8IkFfpD8YaJSSEcmkyM+nD35BpJn5++tePHqUigsaO/jUa4KmnKLgZNYoW0uTghjVSxXydjAza/6enUzpCTg7V1/HxofJRRlnpfOVKKkL5yivA0qWyPUvmAMfUBAG4fp0ut2pFUcfjj9P1p58Gxo0zyssUFVH0npysv7ilgwMFNUFBXK+GWSh7e4rab96kRP4ePRr3fB9+SLOrXn7Z+Ct4q1Q0PPX66zRzis80mBFVLCZYUqKbcp6TQ52UaWn0dQkKauQQljgjZdkyynlYtUqWU2w5wDG19HQqbmBnR/k3Q4ZQdli3brR6ayPUNgTl708fYC8v2QbXjBlPq1a6ipSdOjUuS75ZM/oyLVtG615Nm9b49pWW6oKZkBDg888b/5yM1cLOjj6+oaEUg4i9+sXFVAQ8IYGGsFq0oCGsesXaCxbQkMDTT9OisPn5VO5AZr2RnINj6hycw4epXkfbtjTWvmxZo+vd5OTQh7XyeKunJwU1/v58Ysis0KFDNEzVti3QoUPjnmvhQup6F3tchgxp+HMlJdEU27ffBh5+uHHtYqwRxNIgSUl07l05LzM4uJ6zsL76iqrua7U0I/Crr0x+8OFCf3VosgBHraaEQvHT8tBD9In6/nv6MNRDSYluCKriLChxCCo4WMIVaRmTg1u3qLqxnR3V6mhMl7kgAJMn0w67WTNKqOzatf7Pc+cO0K8fJUJ37kw5d1xYismAOISVlNTIY8rPPwOPPkpn2w89RLVyTDhswEnGciEW9vP3p7Gi3r1pJ2lgcCMucClG2+Kwpxhtt2jBQ1CMlfPzo5lQ4vzZxixWq1BQ4c3kZCp2NnIkJR4HBhr+HPn5VCTt8mVKetixg4MbJhuVh7CSkijgKSqismxXr+pGBWotJDhmDAU1Y8bQiYWMDkjcg2OqHpySEpoartXS1FVPT4pwtVrK8qpFfj592G7epA+bqMHjpYxZi/h4qovj6goMGND458vKou/vxYuUMzdnjmGPE89md+6k7/7ffwMdOza+PYyZkFZLJ9PJyTQbS4wOVCoKclq0oI9ztZKTKRoyMe7BkYMbN+jTkp+v+0TUEpWIFSqTkvTXgrKz02W8N/W6oIyZnZYtqSaOWk25b82bN+75PDwoB2fnTuDJJw17jFYLTJ1Kj3FyAn7/nYMbZhbECSr+/lVn5iYn0+bsrBvC0svlrxjcZGbSTMQPP2yi1UGrxwGOKWi1NDX8zBlg0SLKC3jrrWpzAjIzKahJTaUSGQD18Pn40OfF11eWs+8YkydbWzojuHGDhogbG+AANOupYnBz9SrVr1mwgAKYyr75hjYbG1qOoXfvxreBsSbm4EDLu7VpQ8ep5GQ6TuXn0zpYly9TQnKLFtUcpyZNou+GxLVJOMAxhVu3aP72e+9R1JKVpfffr6lmjbMzfVh4LSjGGiE0lAKctDQq0VBdENJQggDMmkXr8nz1Fa1I/tBD+nkHjz0GxMZSocDhw4332oxJxNOTts6d9UcaMjJoE0caWrS4V1vno48ol0LinLMm6RtYs2YNQkJC4ODggMjISMTGxtZ6/x9//BEdOnSAg4MDunTpgj/++EPv94IgYOHChfD394ejoyOio6Nx9epVU76F+omPp7VlMjOpJseHH5bXrImNBfbupSH9vDwa2wwOpmH+QYMoWubghrFGaNaMTi0BXZFNY/rvf+lLe+MGLdQ5ahQVFRGpVLSD/89/jP/ajElIXAtLPF61bUvHq5IS6jCNiaEJhzeUoShVGHttiPozeYCzefNmzJkzB4sWLcLJkyfRtWtXDB06FBkZGdXe//Dhw3j00Ucxbdo0nDp1CqNHj8bo0aNx7ty58vu89dZb+PDDD7Fu3TocPXoUzs7OGDp0KIoqZuRKJSuLinidOgU4OqJg4w+4cMMZe/cCx47pag94etKEqiFDqOZfjYlbjLH6Cw2ln0lJlOBmLAoFrax88SKVqre1pRybNm2ALl1oT8+YFXB2pnJT0dHUWenvT1+P7GzKztizh5aIkJLJZ1FFRkaiZ8+eWL16NQBAq9UiODgYzz77LObPn1/l/uPHj0d+fj62b99eflvv3r3RrVs3rFu3DoIgICAgAHPnzsWLL74IAMjJyYGvry82btyICRMm1Nkmk86i+vxzCDNmQKHV4ur8z3Cpj64Kqlgiu0ULyYcmGbNsggDs308JA126UB6NKVy6RENW+/bR9fffp+RKxqxQcbGutk5urnFqblYmm1lUJSUlOHHiBBYsWFB+m1KpRHR0NI4cOVLtY44cOYI5laZiDh06FFu3bgUAJCYmIi0tDdHR0eW/d3NzQ2RkJI4cOVJtgFNcXIzi4uLy6+qKVY2MKOfaXTi+uAAJWhuc6twb8Y7BUMTtgYcH9Zjb2emWtBfb3atXL73niI2NRU5OTp2v1bp1a7Rq1ar8ellZGfbv329QO3v16gW3Cqsmp6en48yZM3U+zsbGBg888IDebRcuXECK+IZq4evri7CwML3bDh48qPd/qUmnTp0QWKH+SF5eXo2fn8ruv/9+OFQY87tx4wauXLlS5+NcXFwQFRWld9vJkydx9+7dOh/bsmVLtKu0gOqePXsMam+PHj3QvEJi7N27d3Hy5EmDHvvggw/qXb9y5Qpu3LhR5+OaN2+OHpXWbzpy5AjyKiaI1aBdu3Zo2bJl+fWioiL89ddfBrU3KioKLhUi/ZSUFFww4JTP3t4e/fv317vtzJkzSE9P17/jrVs0RHXpEnWXKhQIDAxEp06d9O62f/9+lBnQyxMWFgZfX9/y6zk5OYhNTgbmzaNifunptDev5n/9wAMPwKZCPsK1a9eQUHFYqwa8j+B9RGXmso8oLQUEoTWAVjXex9RMGuDcuXMHGo1Gb6cA0Af50qVL1T4mLS2t2vunpaWV/168rab7VLZixQosWbKkQe+hPjKuZOPjgK/xfY49nhiahha+xfDy0i1TX7n32tHRscpzlJSUGDTUVlpxjYZ7DB2i04oVA+/RaDQGPdammoSx0tJSgx5bUk3XfXFxsUGP1YjTy+4RBKHBw5GGvlfbaqb0S/G/0Wq1DX6vUvxvAMPfa+XOY0P/N9Wp9n/j6kozGtVqCj7c3Wv83xgS4FR+r3r/m/Bw+llaqr9+Sg0M/d/wPoL3EZWZyz7C1hZQKuv+LpiSVcyiWrBggV6vkFqtRrAJChJ5dQ3EtpxgpGlvYvfBYrwxpPYp3nZ2VZOw7Ozs9M4malLdl8uQxwHUi1aRSqUy6LHV7bxsbW0Nemx179W+joKHFdtXkUKhMPi9Vvdchjy2urZJ8b9RKpUNfq+N/d9UtxOurPL/BjD8vSoqVTw1yf8mMJB6crKyAD+/Gv83hgQ4ld+r+L/RaCgNJy2NZsca8vYb87/hfURVvI+Q5z6iuvfZpAQTKi4uFlQqlbBlyxa92ydNmiQ89NBD1T4mODhYeP/99/VuW7hwoRAWFiYIgiAkJCQIAIRTp07p3ad///7Cc889Z1C7cnJyBABCTk6OQfevjzNnBMHBQRAAQVi50uhPzxirj7w8Qdi2jbbcXKM//cGDgtClC33fAUFYtcroL8EYq6A+x2+TzqKys7NDeHg49okJeKDutH379lUZuxRFRUXp3R+gsUnx/qGhofDz89O7j1qtxtGjR2t8zqbUpQvNEAWAl1+mxcQZYxJxdqYqZACQmGi0p01Pp96a/v2Bs2fptqFDgeeeM9pLMMYayeTTxOfMmYP169dj06ZNuHjxIp566ink5+dj6tSpAIBJkybpJSE///zz2LlzJ959911cunQJixcvxvHjxzFr1iwA1PU4e/ZsvPHGG9i2bRvOnj2LSZMmISAgAKNHjzb12zHItGm0uKpGQz8rLr3AGGtiYqJtcrJB+TG1EQQ6gWnXjur8KRTAzJm0aPjOnbp6f5XSJBhjEjB5Ds748eNx+/ZtLFy4EGlpaejWrRt27txZniSclJSkN6bYp08ffPvtt3j11Vfx8ssvo23btti6dSvuu+++8vvMmzcP+fn5mDlzJrKzs9GvXz/s3LmzweOQxqZQAOvWUd2b+HhalsbEK8gzxmri5UXF/3JzKchp1fBZHQoFrZupVlNe8ccfUw2QioqKgIkTgago4F4lC8asysmTdBIgdTkUXk3chCtYnjxJCxq//jqVxuAAhzGJJCUBp0/Tsg2DBjXqy3jzJrB9OzBjBhUtruy772i1BgDYtImGshizJv/+N41c/P47UM1EwEapz/Gbl3E0oR49qJr7Cy9wcMOYpAIDad5qQQEl0NTDmTPAa6/php2CgmjtzeqCG4CGpefOpctPPEE7ecasyZdfApGR0g/VcoBjYhWXYMjNpa5txlgTU6kAsSBhPZKNU1KAESOAN94AVqww/OXeeouWotJogLFjAQNrzjFmtk6dohw1gDpKV6ygHH8pcYDTRM6cASIigOnTdR8CxlgTCgmhrtQ7dww608jNBUaOpCCnY0fg6acNfymlEtiwgRYTLyyk5zl/vuFNZ0zONm6k49vChVK3RB8HOE2kqIhWW/3xR2DtWqlbw5gVcnSkFQGBOntxSkuBceMobcfHB/jjD8DDo34vZ2tL3/fevanO4OjRxl33kzE5+Phjmkij1VKxSzmdwHOA00R69aJua4BycgxcOoQxZkziKuM3b9a48rcgAM88Q9O+nZwoobiha3U6O1MOTr9+dJZbTaFfxszWW2/RdwUAnn8e+PRTeeWbcoDThGbPBh56iPar48ZxPg5jTc7TE3B3p9PNGhYZXLkSWL+ehpm++w7o2bPxL3nwINC3b+OehzG5EARKvH/pJbr+6qvA++/LK7gBOMBpUgoF8MUXlOuYkEDTTOXUnceYVRDr4Fy/Xu00j1atAHt74IMP6ITEGCru+OPiqOpxdrZxnpuxpvbCC5R4D1Ay8dKllYKbnBwq41/PGYvGxgFOE/P0BDZvpq7qH36gRETGWBPy96cVMYuKaCHOSsaNAy5eBO4VTzcqsbr57t00Oysvz/ivwZipdetGPZwffwzMn1/NHRITgbt3KUNfQhzgSCAyksYuo6OBUaOkbg1jVkap1E0Zv3YNAFUcr7gvFlN1jE2lohMcDw+aOj56NMVZjJmTKVPoJOCpp6r5ZXGx7svUiKrhxsABjkRmz6YkRnEdQMZYE2rZkgKd7Gzcic/G8OF04tEUU7nDwoAdOygBed8+YPz4Ri+RxZhJqdVUtLLiiFO7djXcWRz69fCgfDcJcYAjEYVCvxLqX39xPg5jTcbeHggMRFGJEg+PsUF8PE3r9vJqmpePjAR++42asW0bFQXkKeRMjm7fptVNvviCilbWepyqmLwvce8NwAGOLDz3HNC/Py3QyRhrGtqQVpjyQTccPuMCd3cBf/zRtD2qDzwA/PQT5eNt3gy8/XbTvTZjhkhOpmPTiRMU/Nc5UyolhYaoKtackhAHODIg1tiYPZs+SIwx03v1LVds/isQtjZa/PJ+Ejp2bPo2/N//UTHABx+kEx3G5OLSJarfdOkSrb/2119AeHgdD7qX01ZeNVxiHODIwAsv6OrjjB1LVU8ZY6bz2We6taXWP3MaD/hdpClOEhg9Gti1S3/dHqkXKWTW7Z9/qG5TUhLQti3w999Ahw51POjuXUrWqbjum8Q4wJEBhYKqnIaE0Oy6qVM5H4cxUykro+mtAPDaqwImj8qkLN+bNyVrU8WT3cWLaZaKRPEWs3JiJe/MTCpyeeiQgfGK2HsTFEQJbTLAAY5MeHjQeLydHfDrr8C770rdIsYsk40NsH8/8M47wJLXFbo54eIOWkIXLlABta++olkrHOSwpqZQAL/8QkH2n38C3t4GPKiggBaiAmSRXCziAEdGwsOpeioAvPwydQ8yxoyj4lRsNzdg7tx7PSfBwRT15OXRlBEJdeoEfP899fJ/+SUwbRoHOcz0BIEqbItatqRZUy4uBj6BuHitj089HmR6HODIzH//S92Dv/wCtGghdWsYswx5eUCfPtQzWmX419aWghxAFr04//43rYGlUgGbNgHTp3OQw0xHq6WFMsPDga1bG/AEZWW6s3EZ9d4AAK9tKzMKBbB6tdStYMxyiMsjHD9ONcgmTaqm2z00lM5CMzIoGpL4LFSsN/LYY5SfV1hIPTp2dpI2i1mY4mL6PvzwA11PTm7AkyQlUZDj4mLgeFbT4R4cmUtK4vWqGGsoQaDyC9u30/JT27bVsA92dtYVwRG72yU2bhzVx7G1pZ/790vdImZJ7tyh5YJ++IE+Y999Bzz7bD2fRBDorAGQXe8NwD04spaWBnTvTtnsgYHAsGFSt4gx8/LBB7oe0a++AqKiarlzq1ZUiz45mebEymAmyJgxFJRdu0YrkDNmDFev0mKv8fGAqyulRAwe3IAnSk8H8vPpuxIUZPR2Nhb34MiYnx+dxQHAxImcdMxYfWzZAsyZQ5fffptyW2rl5UV7e41GV25eBoYNA55+Wnc9I4NKjjDWEKmpFOjHx1My8eHDDQxuAF1vZ8uW+msPyQQHODL3/vuU/JWZSTtoXnmYsbolJdFJgSDQisdz5xr4QLGbPTFRltX2srKo6vHAgcCtW1K3hpkjf3/KSevVCzh6FOjcuYFPpFbTOJdCoSvHLzMc4MicgwPVx/H0BI4d43LujBmiRQvgrbeAUaOADz+sR9X4wEBaAbOoSJYRREYGzWQ/dw64/35d+gNjtREESlQH6Lvw/vtATEwj114TZxz6+9PaUzLEAY4ZCAkBvv2WPpjr13PSMWOGmDWLimba1CfTUKnUnY3KYMp4Ze3bU9n8kBAgIYGCnPPnpW4Vk7OSEqqOP2qUrhaUjU0jY5LiYlpYE5BlcrGIAxwzMXQo8PrrdHnDBln2njMmqeJi4MUX9ddya9B6fyEhFOhkZ9PYsMy0akVBTseOtLpE3748w4pVLz2d8ms2baIem0OHjPTE16/TQcjDgzaZ4gDHjLz8MnW379tH+1/GGNFqqbT8u+/S7JBGreVmZ6ebEZKQYIzmGV1gIK3u3LcvkJNDJ0DbtkndKiYnx48DEREUDLu6UqmEgQON8MQajaynhlfEh0kzolRSnQKZDncyJpmXX6YlDmxsaC2nBvXcVCTuuNPSaJ0dGWreHNi7l4oC+vgAPXpI3SImF998Q8OXN2/SsGZsrBHLjKSk0LiXoyPl38gYBzhmSqulVYdfe03qljAmrbVrgZUr6fKGDY2Y8lpRs2a6ioAyKfxXHQcHCuz++Ue/DEmjerCYWXvnHeDxxylPfuRIminVvr2RnlwQdL2arVoZ4UzCtDjAMVMxMcCSJXS2+uuvUreGMWls307JxADlqE2aZMQnb92afiYl6a/UKTNKpX5w8+OPdGDLzZWuTUw6w4dTfP7yy3RscHMz4pPfvk1LmdjYmMViiRzgmKlBg6gEPUA79StXJG0OY03u2DFg/HjqzXziCeDVV438At7edKSouJigzOXmAk8+CezYAfTvr5vowiybWq273LkzHQ+WLTNB7T1xZmGLFvWcnigNkwY4mZmZmDhxIlxdXeHu7o5p06YhLy+v1vs/++yzaN++PRwdHdGiRQs899xzyMnJ0bufQqGosn3//femfCuy9NZbtBNTq4HRo/U/5IxZOnFtv6FDgXXrTNRbXrHwnxmM+zRrBuzaRTk5cXFUJPTvv6VuFTOljRsp3jh4UHebn58JXkitph4chUL2ycUikwY4EydOxPnz57Fnzx5s374dBw8exMyZM2u8f2pqKlJTU/HOO+/g3Llz2LhxI3bu3Ilp06ZVue8XX3yBW7dulW+jR4824TuRJ3ERvsBA4OJFGnfl6ePMWnTsSLknP/5owmWjAgNpVlVhoSwL/1UnIoL+Ll260DThBx4A1qwxi/iM1UN+PjB5MtW4yckBPv3UxC9oBoX9qhBM5MKFCwIA4dixY+W37dixQ1AoFEJKSorBz/PDDz8IdnZ2QmlpafltAIQtW7Y0uG05OTkCACEnJ6fBzyEnsbGCYG8vCIAgvPKK1K1hzHTy8wXh8OEmftFLlwRh2zZB+OuvJn7hxsnLE4QJE2i/AAjClCmCoNFI3SpmDGfPCkLHjvR/VSoFYdkyE/9vi4oEYft2+h5kZprwhepWn+O3yXpwjhw5And3d0RERJTfFh0dDaVSiaNHjxr8PDk5OXB1dYVNpfG+Z555Bl5eXujVqxc+//xzCLWcnhQXF0OtVuttlqRnT+Czz6jCfLt2UreGMdMoKwMmTAAGDAB++KEJX1gs/JeVpV9FUOacnakC+jvvUPP9/bl+lrkTBJop2KsX9doHBFCRx5dfNvH/1kwK+1VmsiyhtLQ0+Pj46L+YjQ08PT2RlpZm0HPcuXMHS5curTKs9frrr2PQoEFwcnLC7t278fTTTyMvLw/P1bBQ04oVK7BkyZKGvREz8fjjtOMPDpa6JYwZn7ho5m+/0dTowMAmfHF7e3rB5GTqpg8Pb8IXbxyFghYaHTAA6N5dd7tGI8vFn1kd9u0Dpk+ny0OHAl99patmYDIVC/uJMwvNRL1jvvnz51eb5Ftxu3TpUqMbplarMXLkSHTq1AmLFy/W+91rr72Gvn37onv37njppZcwb948vP322zU+14IFC5CTk1O+JScnN7p9clQxuBEX5WPMEixZQr2USiXw3XdUwbdJiUmVt27JtvBfbSIidAFNcTFNTnjrLc7ZMzeDB9NK4CtWAH/80QTBDUDVAktKACcnE2Uvm069e3Dmzp2LKVOm1HqfVq1awc/PDxkZGXq3l5WVITMzE351/JFyc3MxbNgwNGvWDFu2bIFtHRmEkZGRWLp0KYqLi2Fvb1/l9/b29tXebqlOn6aF1UJDgT17KEeSMXP1yScU4ACULCvJfAJXVzqa3L5NM6o6d5agEcbx7bfA4cO07d5N6xQ1aY8YM1hJCfD22zT1v3lz6pH75psmrK8nCLrk4tBQ2Rf2q6zeAY63tze8DQgbo6KikJ2djRMnTiD8Xpfun3/+Ca1Wi8jIyBofp1arMXToUNjb22Pbtm1wcHCo87Xi4uLg4eFhVUFMbezsaJ3AgweB55+nSq+MmaNffwWefpouv/Ya7egl07o1BTg3blCym8mmbpnWlClUt/CFF2jIo0sXmoHz739L3TJW0enTVOPszBlaMf7bb+n2Jo0xzKywX2UmS0vq2LEjhg0bhhkzZiA2NhaHDh3CrFmzMGHCBAQEBAAAUlJS0KFDB8TGxgKg4GbIkCHIz8/Hhg0boFarkZaWhrS0NGg0GgDAb7/9hs8++wznzp1DfHw81q5di+XLl+PZZ5811VsxOx07Uje+QkH1Qdatk7pFjDXMjh00jDJtmq4XRzLe3tSTUzEnwQwpFMDMmcDJk5ROlJVF61k98QRXP5aDsjIq0tezJwU3Xl7AmDESNUZclqFlS7Mo7FeFKadz3b17V3j00UcFFxcXwdXVVZg6daqQm5tb/vvExEQBgLB//35BEARh//79AoBqt8TEREEQaKp5t27dBBcXF8HZ2Vno2rWrsG7dOkFTjzlyljZNvCYrVtA0QhsbQdi7V+rWMFZ/Wq0gbNwoCBWqREgrOZmmyu7aZRFzrouLBWHBAkFQKGhf8eijUrfIul24IAg9e+qm9j/yiCCkp0vUmOxs+qz/9psgFBRI1Iiq6nP8VgiC9ZV/UqvVcHNzK5+CbqkEgWZXffstrUdy5Aj17jAmZ+nplG8gyxNGrZbGdYqKgG7dLGba4oEDwDPPANu2mU2RWouzaxfw8MOUBO7uDqxeDTz2mIRpLydP0lofgYGyWqq+PsdvropgwRQKqpnQty9Vuvzf/6RuEWO1S08H7r+f1pgqLpa6NdVQKnURQEKCxZQHHjCAhkMqBjdvvEGBD2savXtTYDNsGHDuHDBxooTBTWEhkJpKl81sanhFHOBYOAcHYMsWymH4+mupW8NYzXJyaOd+9Spw4gSQmSl1i2ogLjSYm2tRtRgqFoo7fJiSugcOpKRkC3qbsnH9Ov2NxRjZzQ2IjaXp35LPart2jRrm5WXk5cibFgc4VsDbm2qIuLtL3RLGqldYSKUN4uJoocg9e6jyrizZ2lLSJaBLwrQwHTvSjDWFgqaRt29P+xCum9N4RUXA0qX0N37jDd3sKIBiZ8lnYpeW0kxBAGjTRtq2NBIHOFZGEIAPPgAWLpS6JYyR0lKaxfPXXzRJadcuoG1bqVtVB7EmyJ071PVkYTw8qLzE4cNA164002rGDKBfPxrKYvUnCMAvvwD33Uf736IiYNAgWaW3kOvXaaagWPvJjHGAY2WOHgVmz6YziI0bpW4Ns3ZaLa2G/PvvNJy6fTvl7sqeo6NuHMFCe3EAygs5fhx47z1a2+rIEeChh+j4xwwjCDTsFBFB070TEmgNqe+/B/buldnED62WClkCZp17I+IAx8r07k0LswFUCyMmRtLmMCt34QKd1drYAD/9RAnGZkM8AKSmmuXyDYaysaGigBcvAv/6FzB/vm7ZB42GloVhtVu8mCYlubgAr74KXLpEifSSD0dVdvMmZfc7OlIUZuY4wLFCS5cC48bR0MAjj9COizEp3Hcf5dt8/TUwcqTUraknsQtfEHRnvRYsOBj4+Wfgv//V3fbddzRat2CBjJPCJXD4MKBW02WFAli+nGaxJibS/rdZM2nbVy1BAOLj6XKrVhax9Lz5vwNWb0olDU/17k1LOgwdSoE7Y03l7l3d5b596WzWLIm9ODdu0BmDFajY6/D779R59eabFOgsXWqRKUkG0WhotfsHH6TP9Acf6H4XHU2Lm3p5Sde+OqWnA/n5lERvhssyVIcDHCvl6EhfxvbtgeRkCnIKC6VuFbMG771HeQcWkaxacfkGceaJFfn2WyoOGBZGPRYLF9LIxn//S2spWYPMTOCddygx/qGHKK9GpTLDQE/MJQsJkWmVzfrjAMeKeXnRjJWgINohOTpK3SJm6dasAebOpboqu3ZJ3RojEXtxrl2zunnUCgVN7z91ipJm77uPenQ+/ZSGrSzd88/T/lMcfvLwoMtXr1LQYzYyM2lTKinAsRAc4Fi5li0pB+e556RuCbN069cDs2bR5ZdfBl58Udr2GE1AAE0BKy622rFepZKGGc+coYkLY8cCFdc/vnmTitqZe6pSSop+DJuXRz3fXbtSnaCbN2koKjRUujY2iNh7ExREn2ULwQEOg4uL7nJWFvD22xZTgZ7JxJdf6pJT58yhAmeym0HSUEqlrhcnPt6qvzwKBS378MMPwPDhuts/+YT+561aAd2708rwcXHm8ae6cYOGVfv0oeP/0aO6382fT/WbTp2iavFOTtK1s8Hy8oC0NLpsAVPDK+IAh5UrLQUeeACYNw945RWpW8MsxebNVOtGEKgH5513LCi4EbVoQcmZ+fnArVtSt0Z2oqKAwYMpFoyLo2nT3btTT8fs2XRiJRclJcA//1DidK9eNGIzdy7VAAJoOQVR27ZU/NCsP89i742fn/7ZrgXg1cQteDXxhtiwAZg+nS6vWkVjzIw1lFZLQfPBg1QJd906i5h9Wr3Ll4ErV2jtnv79pW6NLN25Q8Uct24Fdu+m4R1XV8rJsrOj+3z9NV2OiNAVjDal9HRqh5h6cuYMDTmJlEr6d44ZQ2U1JF8nypiKiykrWqulqV+enlK3qE71OX5zgMMBThXLl+t6cL76Cnj8cWnbw8xbbi4FNnPnWnBwA9Cp/969NKOqd2+zL3NvagUFVAMpLU2/tk6rVrpcHU9PCnS6d6dOsrZtaRp2fWm11PNy44ZuS0qiQpPXrgH/+Q8NowL072vXDujcmWozjR4N+Po2+u3K08WLNKzq4UFdUWaAA5w6cIBTO0GgbuMPP6QD0nffUWFAxgx17hzNqLE658/TEbN5c0raYPWi0VBy8rFjNM28cmmh+++n3kBRp04UvNjaAmVl9HiNhi737k3DowDdx9GRYtDKFAoKZH77zXTvS5ZKSykgLyujsTgzieLqc/y2jMnuzKgUCuD99yn37PPPgcceo53DqFFSt4yZg40bgSeeoJ7A+fOlbk0Ta92aFiu8e5cSSzw8pG6RWVGpgI8/psvFxRQoHz9Ow0a3blFAI9JoaESwpnWxKs52Viop4NFqaeZoy5bUI9S6NdCzJ40qWp3r1ym4cXUFfHykbo1JcIDDqqVUUi2L0lKa9imrBeGYbH36qW644fp16g006wTM+nJwoCSN5GTq+u/ZU+oWmS17eyA8nLbqKBQUAKWlUeCiUtFmY0M/K5/cHzhg+jabDY2GehoBoE0bi/2ScoDDaqRSAV98QUl4FrDuGjOxjz7S1VN67jlKUrfQ/Wbt2rShACctjRKQZLnwkPlTKoEOHWhj9XTjBo3XOTtb9M7dklP+mBGoVPqf/z/+APbtk649TJ7eeUcX3Pzvf1Yc3AA01dbfny6LixcyJhdarW5quAX33gAc4LB6OHyYZhSMGsXdvUxHXCkZAF59FVi50qL3mYZp25Z+pqTQdCHG5OLmTaCoiIZTg4Kkbo1JcYDDDBYeTqviFhbSrINDh6RuEZMDMddh6VLarD64AShr1dubkpDEs2XGpCYIul7F1q0tvG4DBzisHuztgV9+oToU+fm0AjkPV7FZs2ha76uvSt0SmWnThn4mJdGUIMaklppKO287O5pKZuE4wGH14uBAVUjFIGfECODXX6VuFWtKeXnA00/TTGhRRIR07ZEtLy/A3Z1yHsx9lUlm/gSBljkHqJqiSiVte5oABzis3pycqCjWI49QIv6YMfoL0DHLlZFBSy+sXQtMmGAeiyVKSszFSUysWrWOsaaUkUGz+mxs9IsEWTCeJs4axN6eVgyePp1OULnch+W7do2GJePjqXNi2TLOt6mTry/NqsrLo8JAYsDDWFMTe29CQqj0sxXgAIc1mI0NVTrWanW5ahoNXeYDn2WJiwOGDaOaSCEhwK5dtF4Pq4NCQUHNqVMUIYaG0heHsaZ05w5V1lYqaXjKSvAQFWsUpVK3v9ZogEcfBV56iYcuLMnevbSacno6EBZG5QI4uKmHwEAqqFZSQr04jDU1sfemZUvqfrcSfCrBjObPP4Eff6TLWVmUp8Enq+atrIwK+OXmAgMHUoK5Va7b0xhiL05cHE0ZDw21igRPJhNZWdSDo1DQ1HArwj04zGgefBDYsIF6dT77DPi//wNycqRuFWsMGxsqDfDUU8COHRzcNFhQEGXncy8Oa2pi701QEK2abEU4wGFG9cQTwM8/07581y6gTx/dmm7MPNy+DWzZorveoQOt8OzgIF2bzJ7YiwNQL05NS2AzZkzZ2TS2XPHzZ0VMGuBkZmZi4sSJcHV1hbu7O6ZNm4a8vLxaHzNw4EAoFAq97cknn9S7T1JSEkaOHAknJyf4+Pjgf//7H8rKykz5Vlg9jB4N/PUXrWF14QIQGclVj83FmTM0I27sWBpyZEYk9uIUF9Nih4yZ2pUr9FPMA7MyJg1wJk6ciPPnz2PPnj3Yvn07Dh48iJkzZ9b5uBkzZuDWrVvl21tvvVX+O41Gg5EjR6KkpASHDx/Gpk2bsHHjRixcuNCUb4XVU48eQGwsLe+Ql8e5OOZg61bqcbtxg2ZKietFMiNRKnVn0fHx3IvDTKti742VzgowWYBz8eJF7Ny5E5999hkiIyPRr18/fPTRR/j++++Rmppa62OdnJzg5+dXvrmKi90A2L17Ny5cuICvv/4a3bp1w/Dhw7F06VKsWbMGJSUlpno7rAECA4GDB4Hdu6kXh8mTRgO8/joVbszPBwYPpuC0Y0epW2aBxDwI7sVhpnb5Mv0MCrLK3hvAhAHOkSNH4O7ujogKNdyjo6OhVCpxtI6yt9988w28vLxw3333YcGCBSiosBrvkSNH0KVLF/j6+pbfNnToUKjVapw/f77a5ysuLoZardbbWNNwcgLuv193/dQp4D//oV4dJr1bt4AhQ4BFi+j6rFmUTOzpKW27LFbFXpyEBCoixZixZWVR5WIrzb0RmWzgIC0tDT4+PvovZmMDT09PpKWl1fi4xx57DC1btkRAQADOnDmDl156CZcvX8Yvv/xS/rwVgxsA5ddret4VK1ZgyZIljXk7zAhKS4F//5uSjo8fBzZvproqTDrbt1OujZMTJRJPnix1i6xAcDDNbCkspF6c0FCpW8QsjZh7Y8W9N0ADenDmz59fJQm48nbp0qUGN2jmzJkYOnQounTpgokTJ+LLL7/Eli1bkJCQ0ODnXLBgAXJycsq35OTkBj8XazhbW+DLLyn5+NIlGrb69FMuCiil6dOBBQuAkyc5uGkylXNxuBeHGRP33pSrd4Azd+5cXLx4sdatVatW8PPzQ0ZGht5jy8rKkJmZCT8/P4NfL/Je8kZ8fDwAwM/PD+np6Xr3Ea/X9Lz29vZwdXXV25g0+valemfDhwNFRcB//0uLNnK9nKaRmAiMH6/7eysUwPLlQPv20rbL6gQH07z7oiIgKUnq1jBLIubeBAdbde8N0IAhKm9vb3h7e9d5v6ioKGRnZ+PEiRMIDw8HAPz555/QarXlQYsh4uLiAAD+96Z0REVFYdmyZcjIyCgfAtuzZw9cXV3RqVOner4bJgVvbxoaee896j344Qcasvr7b565Y0o//UQ9Njk5tP7jhg1St8iKib04Z8/ScFWLFroF3RhrqKwsKmTFvTcATJhk3LFjRwwbNgwzZsxAbGwsDh06hFmzZmHChAkICAgAAKSkpKBDhw6IjY0FACQkJGDp0qU4ceIErl+/jm3btmHSpEno378/wu4lawwZMgSdOnXCf/7zH5w+fRq7du3Cq6++imeeeQb2VrTGhrlTKoEXX6SgJiQE6NQJqEfHHquHtDSqazN2LAU3vXsDr70mdasYWrTgXhxmXBV7b5ycpG2LDJj0lOGbb75Bhw4dMHjwYIwYMQL9+vXDp59+Wv770tJSXL58uXyWlJ2dHfbu3YshQ4agQ4cOmDt3LsaMGYPffvut/DEqlQrbt2+HSqVCVFQUHn/8cUyaNAmvv/66Kd8KM5HISJpZtWmTbgXyO3e4+rExCAKt9t6xI/XeqFTAyy/T1P2QEKlbx6BUAm3a0OWrVzkXhzVOZib33lSiEATrS/FUq9Vwc3NDTk4O5+PI0OTJtGjnkiXACy9wkcCGevttYN48utyjB60P1r27tG1ilWi1NI2tsBDo3Blo1UrqFjFz9c8/FOC0aAF07Sp1a0ymPsdvHvRlslJcDNy8Sfv7efNo2YDjx6VulXl64gnqqXn7beDoUQ5uZEmp1FWZvXqVlm9nrL6496ZaHOAwWbG3B/buBb74gorNxcXRMNYLL3BxwLocOkRBodgn27w5Dcm/+CL3gslacDBlfZeUUPE/xupLzL1p0YJzbyrgAIfJjkIBTJkCXLwITJxIvfirVlEP/sWLUrdOfi5cAB5+GOjXj3prNm/W/c7OTrp2MQMpFLRkO0DJZ7zkDKuP27cpcbFifSUGgAMcJmM+PsDXX9PSASEhNNkkOFjqVsnHzZs07btLF2DbNkoinjkTGDhQ6paxevP3B9zcaIjq6lWpW8PMhSDozvpCQmidM1aOAxwme8OGAefOAVu2UE8+QL06Tz9NeXXWprCQ6ge1bUu1bLRaWijz3Dngk094ur3ZElc3vX6d/smM1SU1lWo/2Nhw7001OMBhZsHZGejTR3f955+BtWuBqChg1Cjg9Gnp2tbU7OyA336jHq1+/YDDh4FfftGNcjAz5e1NiVNarW4tIcZqotXSmjcAlRvg8egqOMBhZikyEpg2jYZltm8HunWjQnZ//WV5a1udPAnMmAGo1XRdpQJWr6ZhqYMHKchjFkLsxUlO5qx6VrukJKCggGZmcHmBanGAw8xSixZU1+XCBVrLCqBidv37UzJyVpa07WussjKqBXT//UB4OL3XTZt0vx84kHquxOKIzEJ4eNAYoyDozs4Zq6ysTNfL164dnfWwKjjAYWatXTvgu+9oiGr6dJoh6exMxwlRYqJ59OoIAuXRLFlCJ2TjxtFSFjY2wGOP0UKlzAqIY423bvEqtKx6165R0TBnZzrbY9XiSsZcydii5OQAKSm0thUAZGcDgYEUMPzrX7SKec+e8jzhUasBLy+gtJSue3vTautPPQXcW76NWYtTp2ianLc3LR7GmKi4mKpfl5VR966V7Rzqc/zm8l/Mori50SY6flzXM3LuHPD661RAcMgQmp01YgQdQ5pSdjZw7BglCicn0+wwAHB1BUaOBDQa3eKYDg5N2zYmE+3b0wyZ27eBu3cp+ZgxQFfx2t2dyguwGnEPDvfgWLysLAoiduwA9uzR7/Vft456SQCanXvtGuV5+vkZL7/lxAlg/376efw4EB+v//ukJF19H0HgvBp2z9mz9KH08KDpcowVFNDORKul2QVeXlK3qMlxDw5jFXh40LpMTzxBJz5Hj1Kws2MHDVmJfv6ZljUAqBeoUycKdoKDKbdn8mTA15d+Hx9Pxx6FgoqI3r6tv330ka4ezfr1VJ+motBQShQeM4YKGoo4uGHl2rWjLr6sLOrNsbKhCFaNS5couPH2tsrgpr44wGFWxcaGknX79gXeeEP/d3Z2VCsrIYF6eY4coU00cqQuwPn6a0oGrsn8+boAZ9AgCnoiImjIPDycRxyYAeztqb7J5cs0XdDXV57JY6xpqNWUYAjoygmwWnGAw9g9zz5LW1ERDXNfvEjHlYwM6hmueMLUvDktkaDR0O3e3vpbxZPtceNoY6zeWremMczCQho/5Wq11ktckiEwUD/RkNWIc3A4B4cxJmcpKVTtUaWi7kDOPLc+t2/TujRKJfDAA1a9Ynh9jt9cB4cxxuQsMJASyTQaLv5njbRamgIK0IKaVhzc1BcHOIwxJnedO9PP5GQu/mdtrl+nZTvs7SnxnBmMAxzGGJM7Dw/qyQGA8+elbQtrOsXFlGQOUIVrW1tp22NmOMBhjDFz0LEj5eHcvUvLODDLd+kS1bZwc9MVy2IG4wCHMcbMgaMjzaoCaHqfVitte5hp5eTQDDoAuO8+LpLVABzgMMaYuWjThmZRFRTQtHFmucTE4sBAWl+G1RsHOIwxZi5UKl2Rt6tXKUeDWZ6UFCAzk/7f4srBrN44wGGMMXMSGEgLLZaV8bRxS1RWRkOQABV25LpHDcYBDmOMmROFgnIyAMrR4GnjliU+nsqpOznpcq5Yg3CAwxhj5qbitPHTp2kZemb+8vNpMTyAah8p+RDdGPzXY4wxc9S5M9VFyckBEhOlbg0zBnF2nLe3brVe1mAc4DDGmDmyt9clHF++TAtyMvN1+zaQlkZDkGLlatYoHOAwxpi5atGCphCXlemmFTPzU1ZGQ40AEBoKNGsmbXssBAc4jDFmrhQKICyMfqal0cbMj9gD5+gItG8vdWssBgc4jDFmzpo1owKAAHD2LPUGMPORlaUr2ti1K2BjI217LIhJA5zMzExMnDgRrq6ucHd3x7Rp05CXl1fj/a9fvw6FQlHt9uOPP5bfr7rff//996Z8K4wxJl9t2wLOzjS9mGvjmA+tVjc0FRREycXMaEwa4EycOBHnz5/Hnj17sH37dhw8eBAzZ86s8f7BwcG4deuW3rZkyRK4uLhg+PDhevf94osv9O43evRoU74VxhiTL5UK6NKFLicmAtnZkjaHGSg+HsjNBezsOLHYBEzWF3bx4kXs3LkTx44dQ0REBADgo48+wogRI/DOO+8gICCgymNUKhX8Kk2N27JlC8aNGwcXFxe9293d3avclzHGrJa3N/UC3LxJvQL9+/MCjXKWm0vLbQBUuNHOTtr2WCCT9eAcOXIE7u7u5cENAERHR0OpVOLo0aMGPceJEycQFxeHadOmVfndM888Ay8vL/Tq1Quff/45hFoKXRUXF0OtVuttjDFmcTp1oto4ajXXxpEzQQDOnKEhKl9fXdFGZlQmC3DS0tLg4+Ojd5uNjQ08PT2RZmCm/4YNG9CxY0f06dNH7/bXX38dP/zwA/bs2YMxY8bg6aefxkcffVTj86xYsQJubm7lW3BwcP3fEGOMyZ29vW5xxkuXuDaOXF2/Totp2tjohhaZ0dU7wJk/f36NicDidskISW6FhYX49ttvq+29ee2119C3b190794dL730EubNm4e33367xudasGABcnJyyrfk5ORGt48xxmSpRQugeXNAowHi4ngZB7kpLNQlgnfsSFPDmUnUOwdn7ty5mDJlSq33adWqFfz8/JCRkaF3e1lZGTIzMw3Knfnpp59QUFCASZMm1XnfyMhILF26FMXFxbC3t6/ye3t7+2pvZ4wxi9S1K3DgAHDnDg1VtWoldYuY6MwZmsrv6Qm0bCl1ayxavQMcb29veBswlS0qKgrZ2dk4ceIEwsPDAQB//vkntFotIiMj63z8hg0b8NBDDxn0WnFxcfDw8OAghjHGAJoy3rkzHUwvXgS8vABXV6lbxVJSgIwMWkSza1dOAjcxk+XgdOzYEcOGDcOMGTMQGxuLQ4cOYdasWZgwYUL5DKqUlBR06NABsbGxeo+Nj4/HwYMHMX369CrP+9tvv+Gzzz7DuXPnEB8fj7Vr12L58uV49tlnTfVWGGPM/LRsSQmsWi1w6hT9ZNIpKKCAEwDatQMqzQxmxmfSOjjffPMNOnTogMGDB2PEiBHo168fPv300/Lfl5aW4vLlyygoKNB73Oeff46goCAMGTKkynPa2tpizZo1iIqKQrdu3fDJJ5/gvffew6JFi0z5VhhjzPx07UqJx2o19eQwaWi1wMmTNDTl4QG0bi11i6yCQqhtfrWFUqvVcHNzQ05ODly525YxZsnS0wGxl7x3b66WK4VLl6jmjY0NMGAA4OQkdYvMVn2O37wWFWOMWTJfXyAkhC7HxQGlpVK2xvrcuaMr6Ne1Kwc3TYgDHMYYs3SdOlHOR1GRbu0jZnolJZT/BND0/Woq+DPT4QCHMcYsnUoFdO9Os3Zu3QK4FljTiIujoNLFhZZjYE2KAxzGGLMG7u5A+/Z0+dw5mtXDTCcxkfKflEogPJyCTNakOMBhjDFr0aYNFZgrK6NZPTx13DTUauDCBbrcqRPXIJIIBziMMWYtFAoaqrK1BbKygLNnpW6R5dFogBMndAtphoZK3SKrxQEOY4xZEycnGjJRKICkJF513NjOngXy8gAHB6BbN6lbY9U4wGGMMWvj7U0LPQLA+fPA3bvStsdSXLumS+Du3h2ws5O2PVaOAxzGGLNGrVsDgYG02vjx45x03Fjp6fp5N15e0raHcYDDGGNWq2tXwM2N6rUcO0b5I6z+1GpK2hYEqnfDSzHIAgc4jDFmrVQqoFcv3XpVYlE6ZrjiYloKo6yMem26dJG6ReweDnAYY8yaOTgAERFUr+XWLd2yAqxuGg0FN4WFgLOz7u/IZIH/E4wxZu08PXU9D5cuUT4Jq50gUKXi7Gyadh8ZST+ZbHCAwxhjjHJHxEU5T56kAzer2ZUrQGoq9dj07Ek9OExWOMBhjDFGOnemPJKyMuCffygvh1WVkkIBDgCEhQHNm0vbHlYtDnAYY4wRsTfC0xMoLQWOHAFyc6VulbxkZNDQFEBLXwQHS9ocVjMOcBhjjOnY2NDMKnd3mj5+5AhV5mVAWhpNp9dqAX9/oEMHqVvEasEBDmOMMX22tkDv3rRIZHExBTn5+VK3Slq3blFBRDG46dGDlrtgssUBDmOMsapsbYGoKKBZM6CoiIKcwkKpWyWN1FRaQFMQqPpzeDhPBzcD/B9ijDFWPTs7CnJcXCi4OXyYgh1rcvOmrkpxUBCtMcU9N2aBAxzGGGM1s7enIMfZmdarOnzYenpykpOpurO4BEO3bhzcmBEOcBhjjNXOwYGCHEdHysX56y8gM1PqVplWUpJutlTLljQdnIMbs8IBDmOMsbo5OgJ9++onHiclSd0q4xMEqnFz+jRdDw3l4MZMcYDDGGPMMI6OQL9+NItIq6Ug4Px5CgosQUkJcPQocPkyXW/VCrjvPmnbxBqMAxzGGGOGU6loFlH79nT92jUKCkpLpW1XY2VlAQcPArdv03vs1o0qOzOzxQEOY4yx+lEogHbtqOqxSkVBwV9/mW9BwMREXfK0szP1UnGFYrPHAQ5jjLGG8fOjYMDJSZd8nJIidasMV1ZG9W3OndMV8Ovfn/KMmNnjAIcxxljDuboC999PC06WlVHNGHNYwyonh4akUlOpR+q++4CICFqqglkE/k8yxhhrHDs7WtohPh64ehW4cwc4cICSdNu1k1fQUFgIXLpEBfwAmgIfEQF4eEjbLmZ0MvrUMcYYM1tKJQUzQUE0syotDUhIoCGrTp1oiQMplZZS8JWYSMNRALXpvvsoQGMWhwMcxhhjxuPkRMnHGRmU25KfT8NWN27QrCQ3t6Ztj0ZDQU18vG6ml5cX0LEjrZjOLJbJcnCWLVuGPn36wMnJCe4GfogEQcDChQvh7+8PR0dHREdH4+rVq3r3yczMxMSJE+Hq6gp3d3dMmzYNeeaauc8YY5bKxwcYOBDo0IFmWt29SzkvBw/S1PKSEtO+fnExcP06sH8/cPEiBTeurkBkJFVl5uDG4pkswCkpKcHYsWPx1FNPGfyYt956Cx9++CHWrVuHo0ePwtnZGUOHDkVRhcXdJk6ciPPnz2PPnj3Yvn07Dh48iJkzZ5riLTDGGGsMpRJo25YCncBAup6TQ0NYu3cDx47RUJY4ZNRYBQUUPB06RM9/9izl3Dg6Ul2b/v0p8GJWQSEIpi1BuXHjRsyePRvZ2dm13k8QBAQEBGDu3Ll48cUXAQA5OTnw9fXFxo0bMWHCBFy8eBGdOnXCsWPHEBERAQDYuXMnRowYgZs3byIgIMCgNqnVari5uSEnJweuPB2QMcaaRkkJzVpKTgYqHhPs7GjKebNmVIfGxYWCEmUt5+CCQM9XWEjDYbduAWq1/n3c3SmwatmSepGY2avP8Vs2OTiJiYlIS0tDdHR0+W1ubm6IjIzEkSNHMGHCBBw5cgTu7u7lwQ0AREdHQ6lU4ujRo3jkkUeqfe7i4mIUFxeXX1dX/hIwxhgzPTs7ICSEttxcCnRSUoCioqrrWikUlM/j5ETBTlkZDTuVlOh+VqZQAJ6eVM/Gz48ex6yWbAKctLQ0AICvr6/e7b6+vuW/S0tLg0+l7kUbGxt4enqW36c6K1aswJIlS4zcYsYYYw3WrBnNrurYkSoh371LCcniptHoLtdEoaCgyd2dghpfX54RxcrVK8CZP38+Vq5cWet9Ll68iA4dOjSqUca2YMECzJkzp/y6Wq1GMJfhZowx6SkUlBdTOTemqEgX4BQVAba2FLzY2+s2W1te5ZvVqF4Bzty5czFlypRa79OqVasGNcTPzw8AkJ6eDn9///Lb09PT0a1bt/L7ZGRk6D2urKwMmZmZ5Y+vjr29Pezt7RvULsYYYxJwcKCteXOpW8LMVL0CHG9vb3h7e5ukIaGhofDz88O+ffvKAxq1Wo2jR4+Wz8SKiopCdnY2Tpw4gfDwcADAn3/+Ca1Wi8jISJO0izHGGGPmx2TTxJOSkhAXF4ekpCRoNBrExcUhLi5Or2ZNhw4dsGXLFgCAQqHA7Nmz8cYbb2Dbtm04e/YsJk2ahICAAIwePRoA0LFjRwwbNgwzZsxAbGwsDh06hFmzZmHChAkGz6BijDHGmOUzWZLxwoULsWnTpvLr3bt3BwDs378fAwcOBABcvnwZOTk55feZN28e8vPzMXPmTGRnZ6Nfv37YuXMnHBwcyu/zzTffYNasWRg8eDCUSiXGjBmDDz/80FRvgzHGGGNmyOR1cOSI6+Awxhhj5qc+x2+TDVExxhhjjEmFAxzGGGOMWRwOcBhjjDFmcTjAYYwxxpjF4QCHMcYYYxaHAxzGGGOMWRwOcBhjjDFmcTjAYYwxxpjF4QCHMcYYYxbHZEs1yJlYvFmtVkvcEsYYY4wZSjxuG7IIg1UGOLm5uQCA4OBgiVvCGGOMsfrKzc2Fm5tbrfexyrWotFotUlNT0axZMygUCqM+t1qtRnBwMJKTk3mdq2rw36du/DeqG/+N6sZ/o9rx36ducvwbCYKA3NxcBAQEQKmsPcvGKntwlEolgoKCTPoarq6usvlAyBH/ferGf6O68d+obvw3qh3/feomt79RXT03Ik4yZowxxpjF4QCHMcYYYxaHAxwjs7e3x6JFi2Bvby91U2SJ/z51479R3fhvVDf+G9WO/z51M/e/kVUmGTPGGGPMsnEPDmOMMcYsDgc4jDHGGLM4HOAwxhhjzOJwgMMYY4wxi8MBjhGtWbMGISEhcHBwQGRkJGJjY6VukmwcPHgQo0aNQkBAABQKBbZu3Sp1k2RnxYoV6NmzJ5o1awYfHx+MHj0aly9flrpZsrJ27VqEhYWVFx6LiorCjh07pG6WbL355ptQKBSYPXu21E2RjcWLF0OhUOhtHTp0kLpZspOSkoLHH38czZs3h6OjI7p06YLjx49L3ax64QDHSDZv3ow5c+Zg0aJFOHnyJLp27YqhQ4ciIyND6qbJQn5+Prp27Yo1a9ZI3RTZOnDgAJ555hn8888/2LNnD0pLSzFkyBDk5+dL3TTZCAoKwptvvokTJ07g+PHjGDRoEB5++GGcP39e6qbJzrFjx/DJJ58gLCxM6qbITufOnXHr1q3y7e+//5a6SbKSlZWFvn37wtbWFjt27MCFCxfw7rvvwsPDQ+qm1Y/AjKJXr17CM888U35do9EIAQEBwooVKyRslTwBELZs2SJ1M2QvIyNDACAcOHBA6qbImoeHh/DZZ59J3QxZyc3NFdq2bSvs2bNHGDBggPD8889L3STZWLRokdC1a1epmyFrL730ktCvXz+pm9Fo3INjBCUlJThx4gSio6PLb1MqlYiOjsaRI0ckbBkzZzk5OQAAT09PiVsiTxqNBt9//z3y8/MRFRUldXNk5ZlnnsHIkSP19klM5+rVqwgICECrVq0wceJEJCUlSd0kWdm2bRsiIiIwduxY+Pj4oHv37li/fr3Uzao3DnCM4M6dO9BoNPD19dW73dfXF2lpaRK1ipkzrVaL2bNno2/fvrjvvvukbo6snD17Fi4uLrC3t8eTTz6JLVu2oFOnTlI3Sza+//57nDx5EitWrJC6KbIUGRmJjRs3YufOnVi7di0SExNx//33Izc3V+qmyca1a9ewdu1atG3bFrt27cJTTz2F5557Dps2bZK6afVilauJMyZ3zzzzDM6dO8e5AdVo37494uLikJOTg59++gmTJ0/GgQMHOMgBkJycjOeffx579uyBg4OD1M2RpeHDh5dfDgsLQ2RkJFq2bIkffvgB06ZNk7Bl8qHVahEREYHly5cDALp3745z585h3bp1mDx5ssStMxz34BiBl5cXVCoV0tPT9W5PT0+Hn5+fRK1i5mrWrFnYvn079u/fj6CgIKmbIzt2dnZo06YNwsPDsWLFCnTt2hUffPCB1M2ShRMnTiAjIwM9evSAjY0NbGxscODAAXz44YewsbGBRqORuomy4+7ujnbt2iE+Pl7qpsiGv79/lROGjh07mt1QHgc4RmBnZ4fw8HDs27ev/DatVot9+/ZxbgAzmCAImDVrFrZs2YI///wToaGhUjfJLGi1WhQXF0vdDFkYPHgwzp49i7i4uPItIiICEydORFxcHFQqldRNlJ28vDwkJCTA399f6qbIRt++fauUqLhy5QpatmwpUYsahoeojGTOnDmYPHkyIiIi0KtXL6xatQr5+fmYOnWq1E2Thby8PL0zpMTERMTFxcHT0xMtWrSQsGXy8cwzz+Dbb7/Fr7/+imbNmpXnb7m5ucHR0VHi1snDggULMHz4cLRo0QK5ubn49ttvERMTg127dkndNFlo1qxZlZwtZ2dnNG/enHO57nnxxRcxatQotGzZEqmpqVi0aBFUKhUeffRRqZsmGy+88AL69OmD5cuXY9y4cYiNjcWnn36KTz/9VOqm1Y/U07gsyUcffSS0aNFCsLOzE3r16iX8888/UjdJNvbv3y8AqLJNnjxZ6qbJRnV/HwDCF198IXXTZOOJJ54QWrZsKdjZ2Qne3t7C4MGDhd27d0vdLFnjaeL6xo8fL/j7+wt2dnZCYGCgMH78eCE+Pl7qZsnOb7/9Jtx3332Cvb290KFDB+HTTz+Vukn1phAEQZAotmKMMcYYMwnOwWGMMcaYxeEAhzHGGGMWhwMcxhhjjFkcDnAYY4wxZnE4wGGMMcaYxeEAhzHGGGMWhwMcxhhjjFkcDnAYY4wxZnE4wGGMMcaYxeEAhzHGGGMWhwMcxhhjjFkcDnAYY4wxZnH+HztnmjM4nKa1AAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"new_up = nom+np.abs((up+dn)/2.0 - nom)\n", | |
"new_dn = nom-np.abs((up+dn)/2.0 - nom)\n", | |
"\n", | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r', alpha=0.3)\n", | |
"ax.plot(x, dn, label='down', color='b', alpha=0.3)\n", | |
"ax.plot(x, new_up, label='new_up', color='r', linestyle='--')\n", | |
"ax.plot(x, new_dn, label='new_dn', color='b', linestyle='--')\n", | |
"ax.plot(x, nom, color='k', linestyle='--', alpha=0.3, linewidth=2)\n", | |
"ax.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 158, | |
"id": "adfe3195", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x11f2d3430>" | |
] | |
}, | |
"execution_count": 158, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"new_up = nom+((up+dn)/2.0 - nom)\n", | |
"new_dn = nom-((up+dn)/2.0 - nom)\n", | |
"\n", | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, up, label='up', color='r', alpha=0.3)\n", | |
"ax.plot(x, dn, label='down', color='b', alpha=0.3)\n", | |
"ax.plot(x, new_up, label='new_up', color='r', linestyle='--')\n", | |
"ax.plot(x, new_dn, label='new_dn', color='b', linestyle='--')\n", | |
"ax.plot(x, nom, color='k', linestyle='--', alpha=0.3, linewidth=2)\n", | |
"ax.legend()" | |
] | |
} | |
], | |
"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": "3.8.6" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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