crockett-zachary-osp-2022.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VQE on the Kagome Unit Cell\n",
    "\n",
    "**NOTE: python3.10 required**\n",
    "\n",
    "Due to the rotational symmetry of a single unit cell of the Kagome lattice, one good solution is as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Xye7N77Hx7Xl0GzC2wV1B0nSMSYYKG3z6Xf3LhQXDA9fpURDNmQLAAzt27MDhcJCUlERYWO3RJsuXLwdg586d1X7u1q0baWlpjVeoBwLMgXRNvtH573qG/+X88wVK8r/kqjuziIztfb59gJlR098wZFdQS2UywYRUSOzofBjcdyXV57cKhvQecO3lzjMGab4UAB7Izc0F6u7+uf32213+fO+99/LGG2/4tLZL0TN1gvOvvg5HivLY9O4TxCQMYeBNs2vNP9cV9OXbj7F9zSsMuHGm74qVRtM3zvllPQ4vfggnK5zv+udPhGAdOVoE/Td64GIB4HA0j489rClx8O31zo+M7c2MP52ud5lB4+cxaPw8b5blVwXF23lp+QOcPHOcju26Mveuv9CuTQe+2rmKJasepdJRSfeY/syZ9AatQ1veAwEvFB0OQf85OQwy6+DfkugisAcuFgDScjyffR+/vHUJr8/J49qUO1iy6lFOnTnBC+9MY/59f2fp3HyiIjrz1rrm//RPMS4FgAfWr1+Pw+Fg7Nix/i5FfGh30VZahbQhIXYAACPT7mXTzhV8nbeahM5X0OWyXgCMv/LnfLJtmR8rFbk0OpkTqaHkyF72luQy/cUBVdPOVJzkx6OFdGx//lEZHdt348ixEiorbZjN+lOS5ke/tSIu9OoymN8+8FHVz7fN7+DHakR8Q11AIjV0iuzBD2UHqn4uP32M0xXldGgbx6HS/VXTD5XuIzKik979S7OlABCpISF2AIEBQfxr11oAVn75KtemTCK9103sLsrhwA/OO6RWfPkq16Xc6c9SRS6J3rqIuDDv7rd4/u37Wfjez+gclcB/3/0mYaHhPHz7a8x/YwKVdhvdYvqROWmpv0sVaTAFgIgL3Tv159VZtZ/GemXf8VzZd7wfKhLxPnUBiYgYlAJARMSgFAAiIgalABARMSgFgIiIQWkUUAsTbIasSf6uwn3BdX8EQYMEBMHwZvY06oAgf1cgRqUAaGFMJrz6IevNjclEk/mAdZGmTl1AIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgDf3hgy+RwQEWlv6twX7DZ+TGO3tLc9h+8/xqIuEsB0MJUVMLcbH9X4b6sSd79DOPmtv/g/ddAxF3qAhIRMSgFgIiIQSkAREQMSgEgImJQuvQkIrU4HHCkHAqPOL9OVTinn6qAT/KgSyTERkJokH/rlEujABCRKsdOwVe7YdNuKD1Ze35FJfwjx/lvE5AYA1cnQd9YMKs/odlRAIgIp8/Cyq3OA7/d4V4bB7DL4vxqFwYTUmFAF5+WKV6mABAxuO9L4G9fuX7H766yk/DGBmcA3DYI2oR6rz7xHQWAiIF9/j28t8V769t2APYfhp/fAB3Cvbde8Q0FgNTp5Sneez7BrDfd7FdoQlr6/n/2Hbz/L++vt7QcXlkLM0dCtEKgSVMAiEvHrAcYNvlFBo552N+l+EVL3/9vC31z8D/n2ClY/Ak8epMec9GU6b9GXNq7dSU9rsjwdxl+05L3v/wMvP21Z20eGQ0RrZwH9hc/dK/Nj8dh9Ta4Jc3jEqWRaOCWuFRmyaddTIK/y/Cblrz/72+BY6c9axPRyjnSJ6KVZ+0+/x4KDnnWRhqPAqAeVquVzMxMEhISCA0NJT4+nlmzZlFeXs60adMwmUwsWrTI32V6XcXpEwSHGrfztiXv/w/HYMu+xt3mh7mNuz1xn7qA6rBt2zbGjBmDxWKhdevW9OnTh+LiYhYuXEhBQQFHjhwBYMCAAf4t1AcO5K6lS/9R/i7Db1ry/m/Mb/xt5h8Cy1GIadv425b66QzABavVSkZGBhaLhdmzZ1NSUkJOTg4Wi4WsrCxWr17N5s2bMZlMJCcn+7tcryvJ30inpCurTduY/RgvTzGx47PXay3vcDhY/sx1LLovBOvBbxurTJ9pqft/thK+2eOfbX/ph+CRi1MAuDBz5kwKCwuZMWMGCxYsIDz8fHdAZmYmKSkp2Gw2unXrRkREhB8r9T6H3Y7D4SAgwFxt+pBb5xMV14/P33qE44cLq83b+uH/UvTdZwy+5Wmi4/s1Zrle15L3/8Jn+jS2fF0HaJIUADXk5eWRnZ1NdHQ0zz77rMtlUlNTAUhJSamatnz5cm699Va6du1KWFgYvXr14vHHH+fEiRONUre3WPZ8Q0zP9FrTzYHBjJq+FNuZcta9Nq1qemnx92x653Fieg4mddycxizVJ1ry/h884r9tHzoKFTb/bV9cUwDUsGzZMux2O5MnT6ZNmzYul2nVyjkU4sIAWLBgAWazmd/85jd88MEH/OxnP+N3v/sdo0ePxm63N0rtnir67nPsldX/Kvdv/5CuyaNdLn9Z94GkZczjQO4actcvwW6v5KPF9+BwOBg1fWmtd81NndH2v9CPAWB3QHGZ/7YvrukicA3r168HYPjw4XUuU1jo7AK4MABWrlxJhw4dqn6+9tpr6dChA5MnT+aLL77gmmuu8biWtLQ0LBaLR23MQa2Y+MzFO1x3fZXNutd+SsYjK4jvc35fz5w6SkhY3Vfr0ic8wZ6cFXzx10f5cf82DhV8w7C7X6B958s9qvOcpMREKs+ealBbV5rb/oP3X4O6XHX/n+nU63qX886N869LROj57/Mn1r+duu4VuP2u+ynJW+tmteKumJgYtmxp2PM8FAA17N+/H4CuXbu6nG+z2di4cSNQPQAuPPifk5bmvAOmqKioQbVYLBaP2waGhLm1XNKQSZQd2s2enPMHwGPWA0REu97vc8yBQYyavpS/PTmI3I9/R+ekq7li9C89qvFCxSXF2M5cwlPIamhu+w/efw3qctZW95nouXH+FxMQ4N5yrpQdPd7gvwXxDQVADeXl5QCcOuX6HVl2djZWq5Xw8HC6d+9e77o++eQTAHr37t2gWmJiYjxuYw5y/06dnmkTWfnCeK6d8hLgvPu1uxt3v4aEtcUcFIK98izdBtyEKaDhPYmdO3X2+hmAu5rC/oP3X4O6BJnrfrbRsYtsPiLUefC32y9+E1ld62rXtg2xsbEXqVI81ZDjxDkKgBpiYmIoLS0lJyeHoUOHVptXUlLCnDnOC33JycmYTHX/QRUVFfHEE08wevToBt8r0JDTujM2mJvt3rJRsX3AZOJw4Q6i4vpSdmg3KR171tvG4XCwdsn92G0VRHbuzTf/eIbEwXfQ7iLt6rIrP9+rz4ppbvsP3n8N6vL21/DlbtfzLvZ4h/kTne/8j52G+e83bPvvZ79BXGTD2opv6CJwDSNGjAAgKyuLXbt2VU3fvHkzw4cPx2q1AvXfAHbixAluvvlmgoODef312uPGm5IeV2SwJ2eF23e/bl/zCoV5n5I+8SlumvkOjkob6/7wExyOpve0S3cYaf/jo/y37cAA6NTOf9sX1xQANWRmZhIVFcXBgwfp27cv/fv3JzExkfT0dHr06MH11zsvol3Y/3+hU6dOkZGRwd69e1mzZg2dOnVqzPI91n2g8wB4IHcNXfqNrHfZUks+G9+eR8ceg0jLmEtUXF8G3zKfou8+Z/uaVxqnYC8z0v7789135/b6yMimSP8lNcTFxbFhwwbGjh1LaGgo+/btIzIyksWLF7N69eqqswJXAXD27Fluu+02tmzZwgcffECfPn0au3yPxV4+jDJLPgVb3q919+uFHHY7axffh8NeWW3IY+q4TC7rnsbGt+dRdqigscr2GiPtf+d20NbDh7l5S+/O/tmu1E8B4ELv3r1ZtWoVx48f5/jx43z99dc8+OCDlJeXs2/fPgICAujXr/odn+fuHfj444/5xz/+QXp67ZuJmqIAcyBdk290/ruecew5/3yBkvwvGXLr/xAZe/6idkCAmVHT32hWXSEXMtL+mwNgaGLjbzfABENb5oNVmz0FgAd27NiBw+EgMTGRsLDqY+F+8Ytf8M477/Dwww8TFhbGV199VfX1448/+qli9/RMnUCP1JvrnH+kKI9N7z5BTMIQBt40u9b85tYVUpOR9n9ogvOA3Jj6xTV86Kj4lsnRlN+yNDGvvfYaDzzwAHfccQfZ2dWHmnTr1q3qHoKa/vSnP3Hfffc1QoWejYJpCrImefcTo5rb/oP3X4OLWbEV1u/0rM25UUBlJz0bBWQOgDk36UmgTZWGgXogN9f5YHNX/f/79u1r5GpEGmZMsvMjIX841jjb0sG/6VIXkAfqCwCR5iLIDJOHOodmuuvYKee7/4vdMHah7h1geMPugZRGojMAD5x7TpBIc9c1Gu69Gv60wfmgtotx93OAz+ncDh64VkM/mzr994gYVP94mHat84zAm7pGwS9GQFiId9cr3qcAEDGwvrHOi7Tdoy99XQEmuLE//NdIaK2Df7OgLiARg7sswnnQ3rALPt7pWT//OQkdYcJA/95tLJ5TAIgIAQFwbS+4OglyC52f4bv3R+fnCNelbStnN9LVSRrp01wpAESkijkABnRxflXanUNFC4/AyQrnz0FmiGoD8ZEQ7qfHSoj3KABExCXzf57gqad4tly6CCwiYlAKABERg1IAiIgYlAJARMSg9DTQFsbhgIp6hu41NcFmqOejlT3W3PYfvP8aiLhLASAiYlDqAhIRMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBBfq7APGu5vaZuL74TGD7We+trzEEBOkzgcU/FAAtTEUlzM32dxXuy5oEIV78LbSfhU8Wem99jWH4TDAH+7sKMSJ1AYmIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiULoPQATYXvApj/5+eLVpocGtieuQxIiBU5lw1X9hNuvPRVoW/UaLXGD4gLtI73UTDhyUHrew9l9/5vcrH+HAD3k8fNsSf5cn4lUKAJELJMYOZETqlKqfM678OdOe68UH37zG/aN/Tbs2HfxYnYh3KQCkTi9P8d4Dama96fDauhpTq+DW9Oo6hA3/Xk7x4QIFgLQoCgBx6Zj1AMMmv8jAMQ/7uxS/KzlcAEBEWKSfKxHxLgWAuLR360p6XJHh7zIa3emzJzlabsXhcF4DWLnp9+wu2kqv+HTiOiT5uzwRr9Iw0HpYrVYyMzNJSEggNDSU+Ph4Zs2aRXl5OdOmTcNkMrFo0SJ/l+kTZZZ82sUk+LuMRvfnNU9x2/wO3P70ZTz4YjIrN73K1f1u4en7/uHv0vzCboedRbBuB3zwb/jsOzh8wt9VibfoDKAO27ZtY8yYMVgsFlq3bk2fPn0oLi5m4cKFFBQUcOTIEQAGDBjg30J9oOL0CYJDw/1dhl+MHfwg1yTfjs1+lr0luWR/moX1aCHBQaFVy+Tu2cBjfxxTq62tsgK7vZKPnmtGH8hQB7sdPvsevthV+4D/939B784wsh901yWRZk0B4ILVaiUjIwOLxcLs2bN56qmnCA93HhCfe+455s6dS2BgICaTieTkZD9X630HctfSpf8of5fhF7HRiQxMGgFAeq8x9Ot+NQ+/ejUvv/sQj0/5GwD9ewxj5a+rHxWtR4v5xcI0br5yRqPX7G22SnjjC/i20PV8B7CzGL63wOShMLBbY1Yn3qQuIBdmzpxJYWEhM2bMYMGCBVUHf4DMzExSUlKw2Wx069aNiIgIP1bqGyX5G+mUdGW1aRuzH+PlKSZ2fPZ6reUdDgfLn7mORfeFYD34bWOV2Sj6druSEQOn8un2bHbs+9LlMhW2Mzz951vo1+1q7r7hsUau0Puyv6774H+hSju8+SXsPuT7msQ3FAA15OXlkZ2dTXR0NM8++6zLZVJTUwFISUmpmrZhwwZGjBhBp06dCAkJIS4ujkmTJpGXl9codXuLw27H4XAQEGCuNn3IrfOJiuvH5289wvHD1Y8OWz/8X4q++4zBtzxNdHy/xiy3UUwe8QQBAWaWfvSky/kvv/sQFWdPM2fSG41bmA+UlMHmve4vb3fA6u0+K0d8TAFQw7Jly7Db7UyePJk2bdq4XKZVq1ZA9QAoLS2lf//+LFy4kDVr1pCVlcWOHTsYOnQohYVuvJ1qIix7viGmZ3qt6ebAYEZNX4rtTDnrXptWNb20+Hs2vfM4MT0HkzpuTmOW2mhioxMYnnInW3d/TO6eDdXmvf/FQr7OW8XT9/2d0OAwP1XoPRt3ed5m749QVOr9WsT3FAA1rF+/HoDhw4fXucy5A/qFATB+/Hheeuklbr/9dq699lomT57Me++9x9GjR3n33Xd9W3QDFX33OfZKW7Vp+7d/SNfk0S6Xv6z7QNIy5nEgdw2565c4L3guvgeHw8Go6UtrnTW0JHfd8DgBpgCWrjl/FrBt9ye8tnouT0x9h5jIbv4rzou2HmhYu237vVuHNA5dBK5h/37nb3LXrl1dzrfZbGzcuBGoHgCuREVFARAY2LCXOS0tDYvF4lEbc1ArJj6Tf9Hldn2VzbrXfkrGIyuI73M+7M6cOkpIWNs626VPeII9OSv44q+P8uP+bRwq+IZhd79A+86Xe1TnOUmJiVSePdWgtq4EB7ZiyYyL739NKT2vY+3zdd+t3LVj72qjeyxH9vHMm3fwwLjnSel5XUNKrZKYlEiFzXuvQYOZTNz224MNarr49TeZ/t5/e7kgcUdMTAxbtmxpUFsFQA3l5eUAnDrl+g8yOzsbq9VKeHg43bt3rzW/srISu93O/v37mTdvHjExMdxxxx0NqsVisVBUVORRm8AQ97ohkoZMouzQbvbknA+AY9YDRES7Dr5zzIFBjJq+lL89OYjcj39H56SruWL0Lz2q8ULFJcXYzpxscPuaQoN83w1zuuIkT70xgaF9xjPhqksf9VNSXMzps957DS5Fpe0s5sAgj9sdO1rq8e+q+J8CoIaYmBhKS0vJyclh6NCh1eaVlJQwZ46znzs5ORmTqfazcq699tqqM4SEhATWr19Phw4NGywdExPjcRtzUCu3l+2ZNpGVL4zn2ikvAc67f7u7cfdvSFhbzEEh2CvP0m3ATZgCGt6T2LlTZ6+fAfjahtx32VOynSLrLj7dnl1r/h8f3cll7bu4vb5OnTs3jTMA4MSPBbTt1Mvjdo6Th4iNjfVBRXIxDTlOnKMAqGHEiBHk5eWRlZXFyJEjSUpy3v6/efNmpk6ditVqBeq+AeyPf/wjZWVl7N27l+eff55Ro0axceNGunRx/4BwTkNO687YYG7tY5JLUbF9wGTicOEOouL6UnZoNykde9bbxuFwsHbJ/dhtFUR27s03/3iGxMF30O4i7eqyKz+fEC/+FlZWwCcLvbc+V0amTmVk6lSvrS9/Vz7mYK+t7pJs+B7e9fDXLsgMH7z1DGHBz/imKPEZXQSuITMzk6ioKA4ePEjfvn3p378/iYmJpKen06NHD66//nqg7v7/yy+/nMGDB3PnnXfy8ccfc/z4cZ577rnG3AWP9Lgigz05K9y++3f7mlcozPuU9IlPcdPMd3BU2lj3h5/gcDTPp31KdWnd8TiQ07pDWBMJMPGMAqCGuLg4NmzYwNixYwkNDWXfvn1ERkayePFiVq9eza5dznFyF7sADNCuXTsSEhLYvXu3r8tusO4DnQFwIHcNXfqNrHfZUks+G9+eR8ceg0jLmEtUXF8G3zKfou8+Z/uaVxqnYPGpVsEw+Upw90HgHSMgY4AvKxJfUgC40Lt3b1atWsXx48c5fvw4X3/9NQ8++CDl5eXs27ePgIAA+vW7+A1PP/zwA99//z09ezase6QxxF4+jDJLPgVb3q919++FHHY7axffh8NeWW3IZ+q4TC7rnsbGt+dRdqigscoWH0qOh/uGQeBFRvXGR8KMERAW0jh1iffpGoAHduzYgcPhICkpibCw6qNNpkyZQkJCAgMGDKBdu3bk5+fz0ksvERgYyMMPN91n6geYA+mafKPz3/WM48/55wuU5H/JVXdmERnb+3z7ADOjpr/Bsv83kHV/+Am3Pv6py4vj0rykdHE+6O2rAvgyH8ouGKR0eQxclQR9Y8Gst5DNmv77PJCbmwu47v4ZMmQI//znP7n//vsZM2YMzz//PMOGDWPbtm0kJDTtxyr3TJ1Aj9Sb65x/pCiPTe8+QUzCEAbeNLvWfHUFtUwRrWBUP3hyAoT/52GoEaHwsxucZwk6+Dd/OgPwQH0BMGPGDGbMaJ5PgkwcfHu98yNjezPjT6frXWbQ+HkMGj/Pm2X5VUHxdl5a/gAnzxynY7uuzL3rL4QEteLpP99KfuG/qLTb+PuvyvxdZqMIMDm/AHRy17Iowz1QXwBIy/J89n388tYlvD4nj2tT7mDJqkcxm4OYNHwuWQ+u83d5Il6hAPDA+vXrcTgcjB071t+liA/tLtpKq5A2JMQOAGBk2r1s2rkCEyauSLieNq3a+bU+EW9RF5BIDSVH9rK3JJfpLw6omnam4iTWY0V0iqz9+A+R5koBIOJCry6D+e0DH1X9fNt8ffahtDzqAhKpoVNkD34oO/9c5PLTxzhdUU50hJ51Iy2LAkCkhoTYAQQGBPGvXWsBWPnlq1ybMomgQD3vQFoWdQGJuDDv7rd4/u37Wfjez+gclcB/3/0mAA++kMzR8h85eeYYdz0TR0rP4fz3XX/xc7UiDaMAEHGhe6f+vDqr9mMxl8z+tx+qEfENdQGJiBiUAkBExKAUACIiBqUAEBExKAWAiIhBaRRQCxNshqxJ/q7CfcEX+dARTwUEwfCZ3l2nrwUE+bsCMSoFQAtjMnn+ma4ticlEk/mAdZGmTl1AIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgZl4M+OapkcDqio9HcV7gs2Oz/Fy1ua2/6D918DEXcpAFqYikqYm+3vKtyXNcm7H2HZ3PYfvP8aiLhLXUAiIgalABARMSgFgIiIQSkAREQMSgEgImJQGnsgIlLDGRsUHILCI3DgCBw5ATY7BJigdQjERUJ8JPToAJFt/F1twykARET+49BR2JgP3+yB02frXq7gB+d3E9CrM1ydCL07Q0Az61NRAIiI4Z05Cyu3whf5nrVzAHnFzq+49nD3UOjc3icl+kQzyysREe8q+AGe+6fnB/+aCkvhhQ9hzbdgd3inNl/TGYCIGNb2A/DnjVBp9876Ku3wz+3wwzG4awiYm/hbbAWA1OnlKd57QM2sN5vJW6ILGH3/W7odhbD0C9+8W9+y1/l8p7uGOC8cN1UKAHHpmPUAwya/yMAxD/u7FL8w+v63dIdPwNKNvu2q2bwHYtvDdb18t41LpQAQl/ZuXUmPKzL8XYbfGH3/WzK7A5Z9BRU2z9o9MhoiWsGxU/Dih+61Wb0N+naGDhEel9komngPlfhLmSWfdjEJ/i7Db4y+/y3ZV7th9yHP20W0gnZhzu/uOlsJf/va+ZjypkgBUAer1UpmZiYJCQmEhoYSHx/PrFmzKC8vZ9q0aZhMJhYtWuTvMn2i4vQJgkPD/V2G3xh9/1syuwPW5zXuNgt+gP2HG3eb7lIXkAvbtm1jzJgxWCwWWrduTZ8+fSguLmbhwoUUFBRw5MgRAAYMGODfQn3kQO5auvQf5e8y/Mbo+9+S7bKA9Xjjb3fjLugW3fjbvRidAdRgtVrJyMjAYrEwe/ZsSkpKyMnJwWKxkJWVxerVq9m8eTMmk4nk5GR/l+sTJfkb6ZR0ZbVpG7Mf4+UpJnZ89nqt5R0OB8ufuY5F94VgPfhtY5XpM0bf/5bsq93+2e7W/fXfWewvCoAaZs6cSWFhITNmzGDBggWEh5/vCsjMzCQlJQWbzUa3bt2IiGiiV3YugcNux+FwEBBgrjZ9yK3ziYrrx+dvPcLxw4XV5m398H8p+u4zBt/yNNHx/RqzXK8z+v63dHt/9M92bXY4eMQ/266PAuACeXl5ZGdnEx0dzbPPPutymdTUVABSUlLqXM+YMWMwmUzMnz/fF2X6lGXPN8T0TK813RwYzKjpS7GdKWfda9OqppcWf8+mdx4npudgUsfNacxSfcLo+9+SHTsFR0/5b/uFCoCmbdmyZdjtdiZPnkybNq4f8deqlXMIQF0B8Pbbb7Nt2zZflehVRd99jr2y+li4/ds/pGvyaJfLX9Z9IGkZ8ziQu4bc9Uuw2yv5aPE9OBwORk1fWutdc1Nn9P03mqJSP2+/CQaALgJfYP369QAMHz68zmUKC52n/64C4NixY/zyl79kwYIFTJky5ZLrSUtLw2KxeNTGHNSKic9c/KEmu77KZt1rPyXjkRXE9zm/v2dOHSUkrG2d7dInPMGenBV88ddH+XH/Ng4VfMOwu1+gfefLParznKTERCrPeu9tWXPbf/D+a+ALNz22mbC2nSixlBAXN8jf5TRIXPI4hkz+vct558b41yci9Pz3+RPrXq6u+wRWrP6I/540rfaMSxQTE8OWLVsa1FYBcIH9+/cD0LVrV5fzbTYbGzduBFwHwOOPP05SUhKTJ0/2SgBYLBaKioo8ahMYEubWcklDJlF2aDd7cs4fAI9ZDxAR7XrfzzEHBjFq+lL+9uQgcj/+HZ2TruaK0b/0qMYLFZcUYztzssHta2pu+w/efw18obKysuq7p7+TTUXrLkfrnHdujL87AgLcX/ZCZyrONrnXTgFwgfLycgBOnXL9biw7Oxur1Up4eDjdu3evNm/Lli384Q9/4F//+pfX6omJifG4jTnI/btUeqZNZOUL47l2ykuA8+7X7m7c/RoS1hZzUAj2yrN0G3ATpkt4CHrnTp29fgbgrqaw/+D918AXzGZz1ffY2Fg/V9MwbdvUfdQ+5sbLHxHqPPjb7XDsdN3L1bWuoECTT167hhwnzlEAXCAmJobS0lJycnIYOnRotXklJSXMmeO8yJecnIzJdP4JT5WVlUyfPp0ZM2bQt29fr9XTkNO6MzaYm+3eslGxfcBk4nDhDqLi+lJ2aDcpHXvW28bhcLB2yf3YbRVEdu7NN/94hsTBd9DuIu3qsis/nxAv/hY2t/0H778GvvDUe84LqJ1iOlV1gzY3JWWQtdr1PHce7TB/ovOd/7HTMP99z7d/351jWf7bpvXa6SLwBUaMGAFAVlYWu3btqpq+efNmhg8fjtVqBWrfALZo0SIOHTrULEf99Lgigz05K9y++3X7mlcozPuU9IlPcdPMd3BU2lj3h5/gaKr3ul+E0fffSDpGQLAfr9PHR/pv23VRAFwgMzOTqKgoDh48SN++fenfvz+JiYmkp6fTo0cPrr/+eqB6/7/VauWJJ57gySefxGazUVZWRllZGQCnT5+mrKwMu91LDxv3ge4DnQfAA7lr6NJvZL3Lllry2fj2PDr2GERaxlyi4voy+Jb5FH33OdvXvNI4BXuZ0fffSAICINaPB2EFQBMXFxfHhg0bGDt2LKGhoezbt4/IyEgWL17M6tWrq84KLgyAwsJCjh8/zvTp02nfvn3VFzjPJNq3b8+BAwf8sj/uiL18GGWWfAq2vF/r7tcLOex21i6+D4e9stqQx9RxmVzWPY2Nb8+j7FBBY5XtNUbff6MZ0MU/2+0S1TQ/PF4BUEPv3r1ZtWoVx48f5/jx43z99dc8+OCDlJeXs2/fPgICAujX7/zdngkJCXzyySe1vgDuvfdePvnkk0u6SONrAeZAuibf6Px3PePYc/75AiX5XzLk1v8hMrb3+fYBZkZNf6PZdoUYff+NJr2Hf7qBrk5q/G26o4lfemo6duzYgcPhICkpibCw86MJ2rRpw3XXXeeyTbdu3eqc15T0TJ3g/PiiOhwpymPTu08QkzCEgTfNrjX/XFfIl28/xvY1rzDgxpm+K9YHjL7/RtIqGNJ6wJeX+Pm/nmgdAlfUP7rYbxQAbsrNzQXqfwREc5U4+PZ650fG9mbGn+oZ9wYMGj+PQePnebOsRmP0/Team5Lh3wfgxJnG2d4tqRDURG8SVwC4ydMAUFeASNPUJhRuS4c3Nvh+W/3jYGA332+noXQNwE0t+QxAxGgGdIEhHt66cewUlJ1076YxgMjWcEd6vb2LfqczADede06QiLQMt6c7bxzcut+95d39HGBw3jD2sxsg3IOPj/QHnQGIiCGZA2Dqld4fodOpLcwcCR2awaeK6gxARAwrIABuGwR9OkP215f2eQEBJrihD9zYHwKb6EXfmhQAImJ4fWJh7jj4ZCdsKoAT9Q/6qibABMnxzoN/fJTvavQFBYCICBAWDGMHON/B//sg5BY6P8XrRxcfIh8W7Hy0Q8+OMLgHtG3A46GbAgWAiMgFAs3OoZvnhm+erIDScnj1Yyg/A+Eh8D+3Nu3RPe5SAIiI1CMs2PkV+J8hMwEBLePgDxoFJCJiWAoAERGDUgCIiBiUAkBExKB0EbiFCTZD1iR/V+E+bz+bvbntP/j3YwrF2BQALYzJRJP/gHFfMvr+i3hCXUAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKH14XgvjcEBFpb+rcF+w2fkxjt7S3PYfvP8aiLhLAdDCVFTC3Gx/V+G+rEne/Qzf5rb/4P3XQMRd6gISETEoBYCIiEEpAEREDEoBICJiULr0JCIuVdrBchQKj8CZs85pZ2zwbSHER0LbMP/WJ5dOASAiVWyV8O+DsGk37P0RbPbq80+fhdc+c/47IhT6xcPVidC5fePXKpdOASAi2O3w+ffw8U44ftq9NsdOw5f5zq8eHWBiKsRH+bZO8S4FgIjBHToKf/0K9lsbvo49P8JLH8ENfeDG/hBo9l594jsKABED+7YQln4BZ71w97TdAWt3wPcWmD4cWodc+jrFtzQKSMSg/n0QXv/cOwf/Cx04DIvWQfkZ765XvE9nAFKnl6d47wE1s950eG1djaUl7/8+q/Odv91HZZWUwWufwoyRYNbbzCZLASAuHbMeYNjkFxk45mF/l+IXLXn/K2zw103OYZ7uemQ0RLSCY6fgxQ/da7PXCut3wsh+DatTfE/ZLC7t3bqSHldk+LsMv2nJ+//Bv+GHY561iWgF7cKc3z3xYa7zbECaJgVAPaxWK5mZmSQkJBAaGkp8fDyzZs2ivLycadOmYTKZWLRokb/L9IkySz7tYhL8XYbftNT9P3oSPvuu8bZXaXcGjjRN6gKqw7Zt2xgzZgwWi4XWrVvTp08fiouLWbhwIQUFBRw5cgSAAQMG+LdQH6g4fYLg0HB/l+E3LXn/N+32Xb9/XXILoeyk8wxCmhadAbhgtVrJyMjAYrEwe/ZsSkpKyMnJwWKxkJWVxerVq9m8eTMmk4nk5GR/l+t1B3LX0qX/KH+X4Tctdf8r7c4AaGwOh/NmMWl6FAAuzJw5k8LCQmbMmMGCBQsIDz//bjAzM5OUlBRsNhvdunUjIiLCj5X6Rkn+RjolXVlt2sbsx3h5iokdn71ea3mHw8HyZ65j0X0hWA9+21hl+kxL3f/iMjh6yj/bziv2z3alfgqAGvLy8sjOziY6Oppnn33W5TKpqakApKSkVE379NNPMZlMtb6aWxeRw27H4XAQEFD9Vs4ht84nKq4fn7/1CMcPF1abt/XD/6Xou88YfMvTRMc37yEfLXn/C4/4b9vFZc7nDEnTogCoYdmyZdjtdiZPnkybNm1cLtOqlXMoxIUBcM7//d//sWnTpqqvv/zlLz6t19sse74hpmd6renmwGBGTV+K7Uw5616bVjW9tPh7Nr3zODE9B5M6bk5jluoTLXn/Dxz237bPPVlUmhYFQA3r168HYPjw4XUuU1jofAfoKgD69OnDkCFDqr769+/vm0K9oOi7z7FX2qpN27/9Q7omj3a5/GXdB5KWMY8DuWvIXb8Eu72Sjxbfg8PhYNT0pbXeNTd1Rtv/oyf9u/0yP29fatMooBr2798PQNeuXV3Ot9lsbNy4EXAdAN6UlpaGxWLxqI05qBUTn7n4FbddX2Wz7rWfkvHICuL7nA+7M6eOEhLWts526ROeYE/OCr7466P8uH8bhwq+YdjdL9C+8+Ue1XlOUmIilWe91zHd3PYfvP8a1GXYT5fRMXGYy3nnbvSqS0To+e/zJ9a/nbpuFpv2wHSKcle7WW3Tc9Njmwlr24kSSwlxcYP8XU6VmJgYtmzZ0qC2CoAaysvLATh1yvUfZHZ2NlarlfDwcLp3715r/qRJk7BarURFRTF+/Hh++9vfEh0d3aBaLBYLRUVFHrUJDHFvrF3SkEmUHdrNnpzzB8Bj1gNERLsOvnPMgUGMmr6Uvz05iNyPf0fnpKu5YvQvParxQsUlxdjOeO+tYXPbf/D+a1CXU+XH65x37kaviwkIaPhwzh9/KPH497kpqaysrPrenPfjQgqAGmJiYigtLSUnJ4ehQ4dWm1dSUsKcOc5+3uTkZEym88+Kadu2LXPmzOGaa66hTZs2bNq0iWeffZavvvqKLVu2EBoa2qBaPGUOcv9WzZ5pE1n5wniunfIS4Lz7tbsbd7+GhLXFHBSCvfIs3QbchCmg4T2JnTt19voZgLuawv6D91+DujjO1n3777GLbD4i1Hnwt9udnwNQn7rW1SbYQWxs7EWqbLrMZnPV96a0Hw05TpyjAKhhxIgR5OXlkZWVxciRI0lKSgJg8+bNTJ06FavV+dD0mqN7rrjiCq644oqqn6+77jr69evH+PHjWbZsGffff7/HtTTktO6MDeZmu7dsVGwfMJk4XLiDqLi+lB3aTUrHnvW2cTgcrF1yP3ZbBZGde/PNP54hcfAdtLtIu7rsys8nxIu/hc1t/8H7r0FdNnwP79bxK3Wx5/vMn+h853/sNMx/3/NtB5hgy4aVBDfjI85T7zmH0XaK6VR1HbC500XgGjIzM4mKiuLgwYP07duX/v37k5iYSHp6Oj169OD6668H3Ov/HzduHK1bt25w/1xj6HFFBntyVrh99+v2Na9QmPcp6ROf4qaZ7+CotLHuDz/B4WhaT7t0l5H2Py7Sf9vu2JZmffBvqRQANcTFxbFhwwbGjh1LaGgo+/btIzIyksWLF7N69Wp27doFeHYB+MKuoqam+0DnAfBA7hq69BtZ77Kllnw2vj2Pjj0GkZYxl6i4vgy+ZT5F333O9jWvNE7BXmak/Y+LhLBg/2w7qeG9FOJDCgAXevfuzapVqzh+/DjHjx/n66+/5sEHH6S8vJx9+/YREBBAv34Xv+FnxYoVlJeXk55ee1x5UxF7+TDKLPkUbHm/1t2vF3LY7axdfB8Oe2W1IY+p4zK5rHsaG9+eR9mhgsYq22uMtP9BZkjv4Z9tX5non+1K/RQAHtixYwcOh4PExETCwqoPhZgyZQpPPvkkf//731m3bh2/+tWvmDJlCgMGDODOO+/0U8UXF2AOpGvyjc5/1zOOPeefL1CS/yVDbv0fImN7n28fYGbU9DeaVVfIhYy2/1f54UCcFAMdW94TU1oEBYAHcnNzAdfdP3379uX999/nnnvuYcyYMbz++us88MADfPrppwQH++m82009UyfQI/XmOucfKcpj07tPEJMwhIE3za41v7l1hdRkpP3vEAGDao9e9hkTMLrp3gtpeLos44H6AmDevHnMmzevsUvyisTBt9c7PzK2NzP+VP/Yv0Hj5zFovPa/OZiY6vzg9osN/fSGa3pBj8t8vx1pGJ0BeKC+ABBpLsJCYNJgz9ocO+V8lIMnodEhHMbqT6VJ0xmAB849J0ikuesbC7em1X1fQE3ufg7wOW1bwUPXa+hnU6f/HhGDGnY5mEywfLN31xvVBn52vfO7NG0KABEDuzoJLouAv30FR8ovfX2p3eCWNGgdcunrEt9TAIgYXFIMzB0Lq7bBl7udz+73VPvWzovLyfFeL098SAEgIoQEwa2DYFR/+LrA+Rm+FzsjMJng8hjnWUSfzs6HxUnzogAQkSrhoTCiL9zQxznq5+ARKCqFk2ecZwZBgRDZGuIjITaSRnmInfiO/vtEpBaTydmt0761unVaMp20iYgYlAJARMSgFAAiIgalABARMShdBG5hgs2QNcnfVbgvuO4nMDd4fc1p/8H7r4GIuxQALYzJZOyheUbffxFPqAtIRMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQA9bBarWRmZpKQkEBoaCjx8fHMmjWL8vJypk2bhslkYtGiRf4uU0SkQQL9XUBTtW3bNsaMGYPFYqF169b06dOH4uJiFi5cSEFBAUeOHAFgwIAB/i1URKSBdAbggtVqJSMjA4vFwuzZsykpKSEnJweLxUJWVharV69m8+bNmEwmkpOT/V2uiEiDKABcmDlzJoWFhcyYMYMFCxYQHh5eNS8zM5OUlBRsNhvdunUjIiLCj5WKiDScAqCGvLw8srOziY6O5tlnn3W5TGpqKgApKSm15r3//vtceeWVtG7dmrZt23LVVVexY8cOn9YsItIQCoAali1bht1uZ/LkybRp08blMq1atQJqB8DChQu54447uPrqq1mxYgXLli1jxIgRnDp1yud1i4h4SheBa1i/fj0Aw4cPr3OZwsJCoHoAFBQUMGfOHF566SVmzJhRNf2mm27yUaUiIpdGAVDD/v37AejatavL+TabjY0bNwLVA+D1118nKCiIBx54wGu1pKWlYbFYvLY+EWm4mx7bTFjbTpRYSoiLG+TvcqrExMSwZcuWBrVVANRQXl4OUGe3TXZ2NlarlfDwcLp37141/csvv+Tyyy/nzTff5JlnnuHgwYMkJiby5JNPctdddzWoFovFQlFRUYPaioh3VVZWVn1vKX+XCoAaYmJiKC0tJScnh6FDh1abV1JSwpw5cwBITk7GZDJVm1dUVMS8efPIysoiPj6eP/7xj9x999106NCBESNGNKgWEWkazGZz1ffY2Fg/V3PepRwnFAA1jBgxgry8PLKyshg5ciRJSUkAbN68malTp2K1WoHaN4DZ7XZOnDjBX/7yFyZMmADADTfcwM6dO/nVr37VoABo6GmdiHjfU+/B0VPQKaZT1XXA5k6jgGrIzMwkKiqKgwcP0rdvX/r3709iYiLp6en06NGD66+/Hqg9AigyMhKg2oHeZDIxYsQIvv3228bbARERNykAaoiLi2PDhg2MHTuW0NBQ9u3bR2RkJIsXL2b16tXs2rULqB0Affv2rXOdp0+f9mnNIiINoS4gF3r37s2qVatqTT9x4gT79u0jICCAfv36VZt388038/rrr7NmzRpuueUWwNkttHbtWgYNajojBkREzlEAeGDHjh04HA6SkpIICwurNi8jI4Nhw4bx4IMPcvjwYbp06cJrr73Gjh07WLt2rZ8qFhGpmwLAA7m5uYDrR0CYTCZWrFjB3Llzeeyxxzh27BgpKSn885//rLpuICLSlCgAPFBfAAC0a9eOxYsXs3jx4sYsS0SkQXQR2AMXCwARkeZEZwAeOPecIBGRlkBnACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERgwr0dwHiXQ4HVFT6uwr3BZvBZPLe+hwOsJ/13voaQ0CQd18DEXcpAFqYikqYm+3vKtyXNQlCvPhbaD8Lnyz03voaw/CZYA72dxViROoCEhExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalG8FEgO0Fn/Lo74dXmxYa3Jq4DkmMGDiVCVf9F2az/lykZdFvtMgFhg+4i/ReN+HAQelxC2v/9Wd+v/IRDvyQx8O3LfF3eSJepQCQOr08xXsPqJn1psNr6/KlxNiBjEidUvVzxpU/Z9pzvfjgm9e4f/Svademgx+rE/EuBYC4dMx6gGGTX2TgmIf9XYpftQpuTa+uQ9jw7+UUHy5QAEiLoovA4tLerSvpcUWGv8toEkoOFwAQERbp50pEvEtnAOJSmSWflJG/8HcZje702ZMcLbficDivAazc9Ht2F22lV3w6cR2S/F2eiFfpDKAeVquVzMxMEhISCA0NJT4+nlmzZlFeXs60adMwmUwsWrTI32V6XcXpEwSHhvu7DL/485qnuG1+B25/+jIefDGZlZte5ep+t/D0ff/wd2niBwePwN++gv/3Lhw95Zx24gzk7ANbM/rcjbroDKAO27ZtY8yYMVgsFlq3bk2fPn0oLi5m4cKFFBQUcOTIEQAGDBjg30J94EDuWrr0H+XvMvxi7OAHuSb5dmz2s+wtySX70yysRwsJDgqtWiZ3zwYe++OYWm1tlRXY7ZV89FwLODIY3Jmz8Jcv4dvC2vMq7fDnjdC2FUy7FrpENX593qIzABesVisZGRlYLBZmz55NSUkJOTk5WCwWsrKyWL16NZs3b8ZkMpGcnOzvcr2uJH8jnZKurDZtY/ZjvDzFxI7PXq+1vMPhYPkz17HovhCsB79trDJ9IjY6kYFJI0jvNYZJwzP51f0r+b5wMy+/+1DVMv17DGPlr09U+/pT5i4iWkdz742/8mP14g0VNvj9etcH/wsdPQWL1sGBw41Tly8oAFyYOXMmhYWFzJgxgwULFhAefr47JDMzk5SUFGw2G926dSMiIsKPlXqfw27H4XAQEGCuNn3IrfOJiuvH5289wvHD1f8ytn74vxR99xmDb3ma6Ph+jVmuz/XtdiUjBk7l0+3Z7Nj3pctlKmxnePrPt9Cv29XcfcNjjVyheNvq7bDX6t6yFTb442fNtztIAVBDXl4e2dnZREdH8+yzz7pcJjU1FYCUlJSqaddddx0mk8nl10MPPeRyPU2RZc83xPRMrzXdHBjMqOlLsZ0pZ91r06qmlxZ/z6Z3Hiem52BSx81pzFIbzeQRTxAQYGbpR0+6nP/yuw9RcfY0cya90biFidedOQtfF3jW5ugp+PdB39TjawqAGpYtW4bdbmfy5Mm0adPG5TKtWrUCqgfAq6++yqZNm6p9/b//9/8AGDdunO8Lb4Ci7z7HXmmrNm3/9g/pmjza5fKXdR9IWsY8DuSuIXf9Emd/9+J7cDgcjJq+tNZZQ0sRG53A8JQ72br7Y3L3bKg27/0vFvJ13iqevu/vhAaH+alC8ZZ/7YPTZz1v98Uur5fSKHQRuIb169cDMHz48DqXKSx0doFcGAB9+vSptdyvf/1rOnTowOjRrg+oF5OWlobFYvGojTmoFROfyb/ocru+ymbdaz8l45EVxPc5v69nTh0lJKxtne3SJzzBnpwVfPHXR/lx/zYOFXzDsLtfoH3nyz2q85ykxEQqz55qUFtXggNbsWTGxfffU3fd8DifbFvG0jVPsuChTwDYtvsTXls9l9/89ANiIrs1eN2JSYlU2Lz3GkjDXTHhN/Qceo/H7b4/eJy4uN4+qOjiYmJi2LJlS4PaKgBq2L9/PwBdu3Z1Od9ms7Fx40agegDU9OOPP/Lhhx/y85//nMDAhr3MFouFoqIij9oEhrj3LjRpyCTKDu1mT875ADhmPUBEtOv9PsccGMSo6Uv525ODyP34d3ROuporRv/SoxovVFxSjO3MyQa3ryk0qGHvwlN6Xsfa5+t+XEXXjr2rje6xHNnHM2/ewQPjniel53UN2uY5JcXFnD7rvddAGq7PWXuD2gUEhnr8t9oUKABqKC8vB+DUKdfvyLKzs7FarYSHh9O9e/c617Ns2TJsNhtTp05tcC0xMTEetzEHtXJ72Z5pE1n5wniunfIS4Lz7t7sbd/+GhLXFHBSCvfIs3QbchCmg4T2JnTt19voZgK+drjjJU29MYGif8Uy4asYlr69T5846A2gigkwN6P8BbKePERsb6+Vq3NOQ48Q5CoAaYmJiKC0tJScnh6FDh1abV1JSwpw5zgudycnJmEx1PyztL3/5C7179yYtLa3BtTTktO6MDeZmu7dsVGwfMJk4XLiDqLi+lB3aTUrHnvW2cTgcrF1yP3ZbBZGde/PNP54hcfAdtLtIu7rsys8nxIu/hZUV8MlC763PlQ2577KnZDtF1l18ur32i/3HR3dyWfsubq8vf1c+5mBvVigNtcsCr37sebtrUqL4XeFFxo02QQqAGkaMGEFeXh5ZWVmMHDmSpCTn7f+bN29m6tSpWK3O8WH13QD23XffsWXLFn7zm980RsmXpMcVGezJWUF4dFe37v7dvuYVCvM+Zejtv6Zn6s0s+38DWfeHn3Dr45/WG4gtycjUqYxMbfiZnTRdiR3hsgj44Zhn7a5O9E09vqZRQDVkZmYSFRXFwYMH6du3L/379ycxMZH09HR69OjB9ddfD9Tf//+Xv/wFk8nE5MmTG6vsBus+0BkAB3LX0KXfyHqXLbXks/HteXTsMYi0jLlExfVl8C3zKfruc7aveaVxChbxIZMJRvf3rE3fWIhvpncDKwBqiIuLY8OGDYwdO5bQ0FD27dtHZGQkixcvZvXq1eza5RzvVVcAOBwO3nrrLa677jq6dHG/G8BfYi8fRpkln4It79e6+/dCDrudtYvvw2GvrDbkM3VcJpd1T2Pj2/MoO+ThAGqRJmhgNxg3wL1lu0bD1Kt8WY1vKQBc6N27N6tWreL48eMcP36cr7/+mgcffJDy8nL27dtHQEAA/fq5vuP1888/Z//+/Zd08bcxBZgD6Zp8o/Pf9Yzjz/nnC5Tkf8mQW/+HyNjzw90CAsyMmv4Gjkob6/7wExyO5vHBLyL1GdHXeWC/rI4b/UMC4ZrL4Rc3QGhQ49bmTboG4IEdO3bgcDhISkoiLMz1cMO//OUvtGrVittuu62Rq2u4nqkTnOe+dThSlMemd58gJmEIA2+aXWv+ua6gL99+jO1rXmHAjTN9V6xII0ntBgO7Qv4h53OBTlVAkBli20Nq9+Z94D9HAeCB3NxcoO7un9OnT7N8+XImTJhQ7flBTV3i4NvrnR8Z25sZfzpd7zKDxs9j0Ph53ixLxO9MJkiKcX61RAoAD1wsAEJDQykrK2vEisRXCoq389LyBzh55jgd23Vl7l1/ofS4hVfe/wVlJ37AHBDI5V3S+a+J/0eIB/deiDQlugbggYsFgLQcz2ffxy9vXcLrc/K4NuUOlqx6lKDAUGZMWMTrmd/x+0e2c7qinOxPsvxdqkiDKQA8sH79ehwOB2PHjvV3KeJDu4u20iqkDQmxAwAYmXYvm3auoGP7rvTo7Pz8B3OAmcvjBmE5ss9/hYpcInUBidRQcmQve0tymf7igKppZypOYj1WRKdI5+M/TlWU88E3r/GTMa4fGS7SHCgARFzo1WUwv33go6qfb5vfoerfZ20V/PrNSaQmjeLq/hP9UZ6IV6gLSKSGTpE9+KHsQNXP5aePcbqinOiIWGyVZ/n1m5OIDO/Ez29+2Y9Vilw6BYBIDQmxAwgMCOJfu9YCsPLLV7k2ZRIBpgB+/eadhIdF8vBtSwzz7CNpudQFJOLCvLvf4vm372fhez+jc1QC/333m3y6PZsvvn2PHp2SeeilKwDo2+0qZt7yf36uVqRhFAAiLnTv1J9XZ1V/HPcNAydzw8Cm/4A/EXepC0hExKAUACIiBqUAEBExKAWAiIhBmRx6gHuL4nBARaW/q3BfsLneJ1F7zOEAe8M+19tvAoK8+xqIuEsBICJiUOoCEhExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEF+rsA8S59JrA+E1jEXQqAFqaiEuZm+7sK92VNghAv/hbaz8InC723vsYwfCaYg/1dhRiRuoBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSjdByACbC/4lEd/P7zatNDg1sR1SGLEwKlMuOq/MJv15yIti36jRS4wfMBdpPe6CQcOSo9bWPuvP/P7lY9w4Ic8Hr5tib/LE/EqBYDIBRJjBzIidUrVzxlX/pxpz/Xig29e4/7Rv6Zdmw5+rE7EuxQAUqeXp3jvATWz3nR4bV2NqVVwa3p1HcKGfy+n+HCBAkBaFAWAuHTMeoBhk19k4JiH/V2K35UcLgAgIizSz5WIeJcCQFzau3UlPa7I8HcZje702ZMcLbficDivAazc9Ht2F22lV3w6cR2S/F2eiFdpGGg9rFYrmZmZJCQkEBoaSnx8PLNmzaK8vJxp06ZhMplYtGiRv8v0iTJLPu1iEvxdRqP785qnuG1+B25/+jIefDGZlZte5ep+t/D0ff/wd2l+UWGDrwrgvS2Q/TWs3Ar7rM7HbkvzpzOAOmzbto0xY8ZgsVho3bo1ffr0obi4mIULF1JQUMCRI0cAGDBggH8L9YGK0ycIDg33dxl+MXbwg1yTfDs2+1n2luSS/WkW1qOFBAeFVi2Tu2cDj/1xTK22tsoK7PZKPnquGX0gQx0qbPDBv50H/1MV1ed9vBPi2sPoZOgX55/6xDsUAC5YrVYyMjKwWCzMnj2bp556ivBw5wHxueeeY+7cuQQGBmIymUhOTvZztd53IHctXfqP8ncZfhEbncjApBEApPcaQ7/uV/Pwq1fz8rsP8fiUvwHQv8cwVv76RLV21qPF/GJhGjdfOaPRa/a202dh8XrYa617mcJSeO0zuDUNhl3eeLWJd6kLyIWZM2dSWFjIjBkzWLBgQdXBHyAzM5OUlBRsNhvdunUjIiLCj5X6Rkn+RjolXVlt2sbsx3h5iokdn71ea3mHw8HyZ65j0X0hWA9+21hlNoq+3a5kxMCpfLo9mx37vnS5TIXtDE//+Rb6dbuau294rJEr9C6HA/6ysf6D/4Xe3QLfFvq2JvEdBUANeXl5ZGdnEx0dzbPPPutymdTUVABSUlKqTd+wYQM33HAD0dHRtGvXjiFDhvDee+/5vGZvctjtOBwOAgLM1aYPuXU+UXH9+PytRzh+uPpf/NYP/5ei7z5j8C1PEx3frzHLbRSTRzxBQICZpR896XL+y+8+RMXZ08yZ9EbjFuYDBw7DjiLP2nzwb10TaK4UADUsW7YMu93O5MmTadOmjctlWrVqBVQPgO3btzNy5EjMZjNvvPEG2dnZxMfHc9ttt7Fq1apGqd0bLHu+IaZneq3p5sBgRk1fiu1MOetem1Y1vbT4eza98zgxPQeTOm5OY5baaGKjExiecidbd39M7p4N1ea9/8VCvs5bxdP3/Z3Q4DA/Veg9X+R73qaoFPYf9n4t4nsKgBrWr18PwPDhw+tcprDQ+Q74wgDIzs7GZDLx97//nXHjxnHjjTfyt7/9jfj4eN566y3fFt1ARd99jr3SVm3a/u0f0jV5tMvlL+s+kLSMeRzIXUPu+iXOC56L78HhcDBq+tJaZw0tyV03PE6AKYCla86fBWzb/QmvrZ7LE1PfISaym/+K86KGduf8+6B365DGoYvANezfvx+Arl27upxvs9nYuHEjUD0AKioqCA4Orjo7ADCbzYSHh2O32xtUS1paGhaLxaM25qBWTHzm4m/jdn2VzbrXfkrGIyuI73M+7M6cOkpIWNs626VPeII9OSv44q+P8uP+bRwq+IZhd79A+84NuxKYlJhI5dlTDWrrSnBgK5bM8PxtbErP61j7fN39GF079q42usdyZB/PvHkHD4x7npSe1zWk1CqJSYlU2Lz3GjSYKYDbfnugQU1fe+Ov/Dwj08sFiTtiYmLYsmVLg9oqAGooLy8H4NQp13+Q2dnZWK1WwsPD6d69e9X0qVOn8n//93/Mnj27apTQ4sWLyc/P59VXX21QLRaLhaIizzpkA0Pc64ZIGjKJskO72ZNzPgCOWQ8QEe06+M4xBwYxavpS/vbkIHI//h2dk67mitG/9KjGCxWXFGM7c7LB7WsKDfJ9N8zpipM89cYEhvYZz4SrLn3UT0lxMafPeu81uBS2s2cIDArxuN2xUqvHv6vifwqAGmJiYigtLSUnJ4ehQ4dWm1dSUsKcOc5+7uTkZEym88/KSUlJ4eOPP+aWW27hpZdeAqB169a88847XHPNNQ2uxVPmoFYXX+g/eqZNZOUL47l2irPevVtX0t2Nu39DwtpiDgrBXnmWbgNuwhTQ8J7Ezp06e/0MwNc25L7LnpLtFFl38en27Frz//joTi5r38Xt9XXq3LlpnAEAxyx5RMYP8Lid7fgBYmNjvV+QXFRDjhPnKABqGDFiBHl5eWRlZTFy5EiSkpy3/2/evJmpU6ditTrHx9W8ASw/P59JkyYxaNAgfv7zn2M2m3nrrbe48847WbVqFddff73HtTTktO6MDebWPia5FBXbB0wmDhfuICquL2WHdpPSsWe9bRwOB2uX3I/dVkFk5958849nSBx8B+0u0q4uu/LzCfHib2FlBXyy0Hvrc2Vk6lRGpk712vryd+VjDvba6i7JVwXwt688axMaBB+/s4CQwAW+KUp8RheBa8jMzCQqKoqDBw/St29f+vfvT2JiIunp6fTo0aPqQF5zCOhjjz1GWFgY77//PmPGjGHUqFEsXbqUwYMHM3v2bH/silt6XJHBnpwVbt/9u33NKxTmfUr6xKe4aeY7OCptrPvDT3BoHGCLMLArtPawB2hwT7wa4tJ4FAA1xMXFsWHDBsaOHUtoaCj79u0jMjKSxYsXs3r1anbt2gXUDoDc3FxSUlIIDKz+l5CWlkZeXl6j1e+p7gOdAXAgdw1d+o2sd9lSSz4b355Hxx6DSMuYS1RcXwbfMp+i7z5n+5pXGqdg8angQLh/GJjdPDJ0jYaxKRdfTpom5bYLvXv3djl2/8SJE+zbt4+AgAD69at+w1NMTAzbtm3DZrNVC4HNmzc36b7R2MuHUWbJp2DL+4yc/kadyznsdtYuvg+HvbLakM/UcZns3vweG9+eR7cBYxvcFSRNR0JH+Nn18KcNUH6m7uV6d4Z7r3aGhjRPOgPwwI4dO3A4HCQmJhIWVn20yS9+8Qvy8/OZOHEiq1at4oMPPmDq1Kl89tlnzJo1y08VX1yAOZCuyTc6/13POP6cf75ASf6XDLn1f4iM7X2+fYCZUdPfUFdQC5PQEZ6aAHcOgfgaH4MwqDv88kZ48Dpn/780XwoAD+Tm5gK1u38Abr/9dlauXElZWRn33nsvd911F99//z1vvfUWM2fObOxSPdIzdQI9Um+uc/6Rojw2vfsEMQlDGHhT7esZ6gpqmYIDYUhPmD0GIv7zMNS2rWDyldAtGkze+8A48ROdvHmgvgAAGDduHOPGjWvMkrwicfDt9c6PjO3NjD+drneZQePnMWj8PG+W5VcFxdt5afkDnDxznI7tujL3rr9wquIEv/rzbVTaK7HbbcR37M3Dty4hPKy9v8v1OR3sWyadAXjgYgEgLcfz2ffxy1uX8PqcPK5NuYMlqx4lKqIzL/3iCxY/so0/PPotURGd+fPa+f4uVaTBFAAeWL9+PQ6Hg7Fjx/q7FPGh3UVbaRXShoTYAQCMTLuXTTtXYMJEyH9utKu0V3K6ohwTemsszZe6gERqKDmyl70luUx/cUDVtDMVJ7EeKyI6IpYZC9P5oWw/3Tsl86v7VvivUJFLpAAQcaFXl8H89oGPqn6+bX4HAIICg1n8yDbO2ir4v7//F6u+Wsyk4XoImjRP6gISqaFTZA9+KDv/VMzy08c4XVFOdMT5+zmCAoMZNeh+1uX8xR8liniFAkCkhoTYAQQGBPGvXWsBWPnlq1ybMokjx0s4XeF8aqfdbufzf79Dj04t7zOhxTjUBSTiwry73+L5t+9n4Xs/o3NUAv9995vs3L+JP33wOAAOh52E2IH84mYfP3lOxIcUACIudO/Un1dnVX8a69A+GQztc/HHZYs0F+oCEhExKAWAiIhBKQBERAxKASAiYlAKABERg9IooBYm2AxZk/xdhfuC6/4IggYJCILhTfvp27UE6Jn64icKgBbGZDL257OaTDSZD1gXaerUBSQiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgFQD6vVSmZmJgkJCYSGhhIfH8+sWbMoLy9n2rRpmEwmFi1a5O8yRUQaJNDfBTRV27ZtY8yYMVgsFlq3bk2fPn0oLi5m4cKFFBQUcOTIEQAGDBjg30JFRBpIZwAuWK1WMjIysFgszJ49m5KSEnJycrBYLGRlZbF69Wo2b96MyWQiOTnZ3+WKiDSIAsCFmTNnUlhYyIwZM1iwYAHh4eFV8zIzM0lJScFms9GtWzciIiL8WKmISMMpAGrIy8sjOzub6Ohonn32WZfLpKamApCSklJt+rp16xgyZAihoaFcdtllPPTQQxw9etTnNYuINIQCoIZly5Zht9uZPHkybdq0cblMq1atgOoB8NlnnzF69GhiY2N5//33+fWvf83y5cuZMGECDoejUWoXEfGELgLXsH79egCGDx9e5zKFhYVA9QD4n//5HxITE3nnnXcICHDmalRUFLfeeiurV69m3LhxPqxaRMRzCoAa9u/fD0DXrl1dzrfZbGzcuBGoHgBff/01999/f9XBH2DUqFEA/P3vf29QAKSlpWGxWDxuJ+JtNz22mbC2nSixlBAXN8jf5cgFYmJi2LJlS4PaKgBqKC8vB+DUqVMu52dnZ2O1WgkPD6d79+5V081mM8HBwdWWDQoKwmQysWPHjgbVYrFYKCoqalBbEW+qrKys+q7fyZZDAVBDTEwMpaWl5OTkMHTo0GrzSkpKmDNnDgDJycmYTKaqeUlJSXz99dfVlt+8eTMOh6PqnoGG1CLSFJjN5qrvsbGxfq5GLnQpxwkFQA0jRowgLy+PrKwsRo4cSVJSEuA8mE+dOhWr1QrUvgFs5syZ3HPPPTzzzDM89NBDFBYW8vOf/xyz2VytW8gTDT2tE/G2p96Do6egU0ynqmtg0vxpFFANmZmZREVFcfDgQfr27Uv//v1JTEwkPT2dHj16cP311wO1h4BOmTKFuXPn8qtf/YoOHTqQlpbG8OHDGTBgAJ06dfLHroiI1EsBUENcXBwbNmxg7NixhIaGsm/fPiIjI1m8eDGrV69m165dQO0AMJlM/Pa3v8VqtbJ9+3YOHTrECy+8QH5+PldeeaU/dkVEpF7qAnKhd+/erFq1qtb0EydOsG/fPgICAujXr5/LtuHh4VWPh/jDH/7AqVOnuP/++31ar4hIQygAPLBjxw4cDgdJSUmEhYVVm7dlyxbWrl3LwIEDsdlsrFu3joULF7JgwQJ69uzpp4pFROqmAPBAbm4uULv7ByAkJISVK1fy7LPPYrPZ6N+/P9nZ2dx2222NXaaIiFsUAB6oLwD69+/Pl19+2dgliYg0mC4Ce6C+ABARaW50BuCBc88JEhFpCXQGICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBBfq7APEuhwMqKv1dhfuCzWAyeW99zW3/wfuvgYi7FAAtTEUlzM32dxXuy5oEIV78LWxu+w/efw1E3KUuIBERg1IAiIgYlAJARMSgFAAiIgalS08iIi7YKqG4DA4ehiPlYLNDgAlah0Bse4iPhDah/q7y0igARET+w+6A70vgi13wXQlU2utfPqYtDE2A9B7QKrhxavQmBYCICLCjEN7/F1hPuN/GctTZZvU2GHY5jE6GILPPSvQ6BYCIGNrJM86D+Oa9DV9HRSV8vBO+LYS7hkK3aO/V50u6CCwihnX4BLzw4aUd/C906BgsXAOb93hnfb6mMwCp08tTvPd8gllvOry2rsZi9P1v6Q6fgFfWQtlJ767X7oC3NoED57WBpkwBIC4dsx5g2OQXGTjmYX+X4hdG3/+WrsIGiz/x/sH/Qsu+gvZhkBjju21cKnUBiUt7t66kxxUZ/i7Db4y+/y3d6u3wwzHP2jwyGuZPdH53h8PhDIEzZz2vr7EoAMSlMks+7WIS/F2G3xh9/1uyPT/A59953i6iFbQLc35315FyWLnV8201FkMGgNVqJTMzk4SEBEJDQ4mPj2fWrFmUl5czbdo0TCYTixYt8neZflNx+gTBoeH+LsNvjL7/Ld0H/3b2zzeWjbuhtLwRN+gBw10D2LZtG2PGjMFisdC6dWv69OlDcXExCxcupKCggCNHjgAwYMAA/xbqRwdy19Kl/yh/l+E3Rt//lsxyFPIPNe42HQ7YtBtuSmnc7brDUGcAVquVjIwMLBYLs2fPpqSkhJycHCwWC1lZWaxevZrNmzdjMplITk72d7l+U5K/kU5JV1abtjH7MV6eYmLHZ6/XWt7hcLD8metYdF8I1oPfNlaZPmP0/W/Jvsz3z3Y37b74XcX+YKgAmDlzJoWFhcyYMYMFCxYQHn7+ND8zM5OUlBRsNhvdunUjIiLCj5X6j8Nux+FwEBBQ/XbGIbfOJyquH5+/9QjHDxdWm7f1w/+l6LvPGHzL00TH92vMcr3O6Pvf0n1f4p/tHj8NJWX+2XZ9DBMAeXl5ZGdnEx0dzbPPPutymdTUVABSUs6fq50LjPT0dEJCQjDV89l9e/fuZfz48YSHh9O+fXvuueceDh8+7N0d8THLnm+I6Zlea7o5MJhR05diO1POutemVU0vLf6eTe88TkzPwaSOm9OYpfqE0fe/JTtz1vORP9508Ij/tl0XwwTAsmXLsNvtTJ48mTZt2rhcplUr5+X9CwNg9+7dvPvuu8TExDBo0KA613/8+HGGDx9OYWEhy5YtY8mSJWzYsIFx48ZhtzfBcz+g6LvPsVfaqk3bv/1Duia7Hud2WfeBpGXM40DuGnLXL8Fur+SjxffgcDgYNX1prXfNTZ3R999oikob9+JvTQeb4HtBw1wEXr9+PQDDhw+vc5nCQuep/YUBcM0111BS4jxvnD9/Phs3bnTZdsmSJRQVFfH555/TpUsXAOLi4rjyyitZsWIFEyZM8LjmtLQ0LBaLR23MQa2Y+MzFOzp3fZXNutd+SsYjK4jvc/41OXPqKCFhbetslz7hCfbkrOCLvz7Kj/u3cajgG4bd/QLtO1/uUZ3nJCUmUnn2VIPautLc9h+8/xr4wk2PbSasbSdKLCXExdX9Rqgpi+0/lqFTFruc98joiw/vjAg9/33+xLqXO3YKXvyw9vR3/v4hj9z6UzerdV9MTAxbtmxpUFvDBMD+/fsB6Nq1q8v5Nput6uB+YQAEBLh3krRq1SquvvrqqoM/wNChQ+nRowcrV65sUABYLBaKioo8ahMYEubWcklDJlF2aDd7cs4fAI9ZDxAR7fr1OcccGMSo6Uv525ODyP34d3ROuporRv/SoxovVFxSjO2M927HbG77D95/DXyhsrKy6runv5NNRZsux+ucd26MvzsCAtxf9kIVtqb32hkmAMrLnQNxT51y/U4rOzsbq9VKeHg43bt393j9O3fu5Pbbb681vW/fvuzcudPj9YEz2T1lDnL/LpWeaRNZ+cJ4rp3yEuC8+7W7G3e/hoS1xRwUgr3yLN0G3ITJzZB0pXOnzl4/A3BXU9h/8P5r4Atms7nqe2xsrJ+raZi2Ea67fsH5rv1iIkKdB3+7HY6drnu5utYVHBjgk9euIceJcwwTADExMZSWlpKTk8PQoUOrzSspKWHOHOcFvOTk5Hov9NaltLSUdu3a1ZoeGRnJ999/36CaG3Jad8YGc7PdWzYqtg+YTBwu3EFUXF/KDu0mpWPPets4HA7WLrkfu62CyM69+eYfz5A4+A7aXaRdXXbl5xPixd/C5rb/4P3XwBeeeg+OnoJOMZ2qukqbm70/wstrXM9z1WVT0/yJznf+x07D/Pc93/6kW8bwzrNN67UzzEXgESNGAJCVlcWuXbuqpm/evJnhw4djtVoB490A1uOKDPbkrHD77tfta16hMO9T0ic+xU0z38FRaWPdH36Cw9E8n3Zp9P03ktj20ID3dl4TH+m/bdfFMAGQmZlJVFQUBw8epG/fvvTv35/ExETS09Pp0aMH119/PVC9/98T7du3p6ysrNb0I0eOEBnZBP/n/6P7QOcB8EDuGrr0G1nvsqWWfDa+PY+OPQaRljGXqLi+DL5lPkXffc72Na80TsFeZvT9N5LgQIjx4+09CgA/iouLY8OGDYwdO5bQ0FD27dtHZGQkixcvZvXq1VVnBQ0NgN69e7vs69+5cye9e/e+pNp9KfbyYZRZ8inY8n6tu18v5LDbWbv4Phz2ympDHlPHZXJZ9zQ2vj2PskMFjVW21xh9/42mV2f/bLddGHSse3CZ3xgmAMB5kF61ahXHjx/n+PHjfP311zz44IOUl5ezb98+AgIC6NevYXdyjhs3ji+++KJa/+jXX39NQUEBGRlN97HCAeZAuibf6Px3PePYc/75AiX5XzLk1v8hMvZ8oAUEmBk1/Y1m2xVi9P03mqsS/bPdKxPA3ASPtk2wpMa3Y8cOHA4HiYmJhIXVHt+1fPlyli9fXvUO/9zPF16kffDBB+nUqRM333wzq1atYvny5dx1112kp6dz8803N9q+NETP1An0SK27xiNFeWx69wliEoYw8KbZteY3964Qo++/kUSHQ69OjbvNABMMaaJPFm/iYw8aR25uLlB390/N4Z3nfr733nt54403AIiIiGD9+vXMmjWLO++8k8DAQMaNG8dLL73k9r0E/pI4uPbw1QtFxvZmxp/qGfcGDBo/j0Hj53mzrEZj9P03mptSYJfF+dGNjeHaXp59hkBjUgBw8QBw97S+Z8+erFq1ymt1iYj3dYmCG/rA2h2+39ZlETCmCT9YuGm/NW0kFwsAEWlZbuzvHBbqiWOnnJ8h7M5NY+Ds8797qHP0UVPVhEtrPOeeEyQixhBohunDYeFasNb9hIhq3LlZ7JwAE9xzFXSLblh9jUVnACJiSBGt4L9GQicvD88MDID7h0FKl4sv628KABExrLat4Jej4ZqGP8y1mi5RMHsM9I/3zvp8TV1AImJoIYFwSxqkxMP7OVDYgA9uaR0Cw3s7v5rieP+6KABERICeHWH2aNh/GDbugtxCOH227uUDTNA12nmT14CuENQMPw9IASAi8h8mk/PCbbdocDjAesL5SV5HymHtt86nzYYGwc+uh87tm+dB/0IKABERF0wm6BDu/ALY8L0zAEICne/8W4Jm1FslIiLepAAQETEoBYCIiEEpAEREDEoXgVuYYDNkTfJ3Fe4L9vIoiua2/+D910DEXQqAFsZkosl/wLgvGX3/RTyhLiAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUAoAERGDUgCIiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlD48r4VxOKCi0t9VuC/Y7PwYR29pbvsP3n8NRNylAGhhKiphbra/q3Bf1iTvfoZvc9t/8P5rIOIudQGJiBiUAkBExKAUACIiBqUAEBExKAWAiNTr+CmotDv/XWmHCpt/6xHv0dgDEanm+GnYvAcKfoCDR+DYqfPzTpyB/34bYtpCXCQkx0OfzhCgt5LNkgJARAAoKoX1O2HbgfPv+F2xO6C4zPn1zR5oHwZXJsI1vTSctbnRf5eIwdkqYe0OWPut8+DuqdKTsHo7fF0Adw2Bnh29X6P4hk7cRAystBxe/Ag+ym3Ywf9C1hPwyjpYudV5R7Y0fToDEDEo63FYtA7KTnp3vR/vhPIzcMdgCNAjLpo0BYDU6eUp3vvrnfVm83tL2JL3//gp+N167x/8z/mqAEKCYGKqb9Yv3qEAEJeOWQ8wbPKLDBzzsL9L8YuWvP8OB2R/A4dPuN/mkdEQ0co5IujFD91r89l3cHkM9IltWJ3ie7oGIC7t3bqSHldk+LsMv2nJ+/+vffBtoWdtIlpBuzDnd09kfw0nKzxrI43HkAFgtVrJzMwkISGB0NBQ4uPjmTVrFuXl5UybNg2TycSiRYv8XaZflVnyaReT4O8y/Kal7n+FDd7/V+Nt7+gpWJPbeNsTzxiuC2jbtm2MGTMGi8VC69at6dOnD8XFxSxcuJCCggKOHDkCwIABA/xbqB9VnD5BcGi4v8vwm5a8/1v3Oy/QNqavCmBMiu4RaIoMdQZgtVrJyMjAYrEwe/ZsSkpKyMnJwWKxkJWVxerVq9m8eTMmk4nk5GR/l+s3B3LX0qX/KH+X4Tctef+/2NX42zx9FnL2Nf525eIMFQAzZ86ksLCQGTNmsGDBAsLDz7/Ly8zMJCUlBZvNRrdu3YiIiPBjpf5Vkr+RTklXVpu2MfsxXp5iYsdnr9da3uFwsPyZ61h0XwjWg982Vpk+01L333rc+WgHf9i63z/blfoZJgDy8vLIzs4mOjqaZ5991uUyqanOMWspKSlV084FRnp6OiEhIZjq+Ow+d5dr6hx2Ow6Hg4AAc7XpQ26dT1RcPz5/6xGOH65+BXHrh/9L0XefMfiWp4mO79eY5XpdS97/A4f9t+3CI7o5rCkyTAAsW7YMu93O5MmTadOmjctlWrVyDnG4MAB2797Nu+++S0xMDIMGDapz/e4u19RZ9nxDTM/0WtPNgcGMmr4U25ly1r02rWp6afH3bHrncWJ6DiZ13JzGLNUnWvL+F/rp3T84RwJ5MuxUGodhAmD9+vUADB8+vM5lCgud7+wuDIBrrrmGkpISVqxYwYgRI+ps6+5yTUnRd59jr6z+bN/92z+ka/Jol8tf1n0gaRnzOJC7htz1S7DbK/lo8T04HA5GTV9a611zU2e0/f/huJ+3f8y/25faDHNdfv9+Zydk165dXc632Wxs3LgRqB4AAW4+59bd5TyRlpaGxWLxqI05qBUTn8m/6HK7vspm3Ws/JeORFcT3OR+KZ04dJSSsbZ3t0ic8wZ6cFXzx10f5cf82DhV8w7C7X6B958s9qvOcpMREKs+euviCbmpu+w/efw3qMmzaW3RMutblvHM3etUlIvT89/kT699OXTeL3T/tQYq+/aeb1TY9Nz22mbC2nSixlBAX13TO8mNiYtiyZUuD2homAMrLywE4dcr1H1p2djZWq5Xw8HC6d+/emKXVyWKxUFRU5FGbwJAwt5ZLGjKJskO72ZNz/gB4zHqAiGjXAXmOOTCIUdOX8rcnB5H78e/onHQ1V4z+pUc1Xqi4pBjbGe89j6C57T94/zWoy6nTdYfMuRu9LiYgwL3lXLFaf/D497kpqaysrPrenPfjQoYJgJiYGEpLS8nJyWHo0KHV5pWUlDBnjrP/Njk5uclcwI2JifG4jTnI/Vs1e6ZNZOUL47l2ykuA8+7X7m7c/RoS1hZzUAj2yrN0G3ATpks4++ncqbPXzwDc1RT2H7z/GtTF7Kj7ltxjF9l8RKjz4G+3w7HT9S9b17oiWgcTG9t8nwthNpurvjel/WjIceIcwwTAiBEjyMvLIysri5EjR5KUlATA5s2bmTp1KlarFWhaN4A15LTujA3mZru3bFRsHzCZOFy4g6i4vpQd2k1Kx571tnE4HKxdcj92WwWRnXvzzT+eIXHwHbS7SLu67MrP9+oNQs1t/8H7r0Fd1nwL/9zuet7Fnu8zf6Lznf+x0zD//YZt/4s1b9M6pGFtm4Kn3nPe2dwpplPV9cLmzjAXgTMzM4mKiuLgwYP07duX/v37k5iYSHp6Oj169OD6668Hqvf/G0GPKzLYk7PC7btft695hcK8T0mf+BQ3zXwHR6WNdX/4CY5mOsbPSPsfH+m/bbdvTbM++LdUhgmAuLg4NmzYwNixYwkNDWXfvn1ERkayePFiVq9eza5dzlskjRYA3Qc6D4AHctfQpd/IepctteSz8e15dOwxiLSMuUTF9WXwLfMp+u5ztq95pXEK9jIj7X+XKP89n79btH+2K/UzTAAA9O7dm1WrVnH8+HGOHz/O119/zYMPPkh5eTn79u0jICCAfv2a7o08vhB7+TDKLPkUbHm/1t2vF3LY7axdfB8Oe2W1IY+p4zK5rHsaG9+eR9mhgsYq22uMtP+tQ6B/vH+2PaThPWTiQ4YKgLrs2LEDh8NBYmIiYWG1hzgsX76c5cuXs3Pnzmo/1+yjd3e5piTAHEjX5Bud/65nHHvOP1+gJP9Lhtz6P0TG9j7fPsDMqOlvNKuukAsZbf+vTmz8bXYIh8SGX6cUHzLMReD65OY6n1dbV/fP7bff7vLne++9lzfeeMPj5ZqanqkToJ6RT0eK8tj07hPEJAxh4E2za80/1xXy5duPsX3NKwy4cabvivUBI+1/QkfntYDGfCbQ9X300ZBNlQKAiweAu+/qmvq7v7okDr693vmRsb2Z8af6x/4NGj+PQePnebOsRmOk/TeZ4K4h8MKHUGn3/fYSOsJgdf80WeoC4uIBINKSdG4PN3p4qevYKefnB1/sfoELBQc6w0bv/psunQFw/jlBIkZxQ18oKoXtB91b3t3PAT4nwAT3XAVRrp+7KE2EzgBEDMgcAFOvgmQfjAoyB8A9V0O/OO+vW7xLASBiUIFmuPdquKFPvdfAPdI+DB66HgZ08c76xLfUBSRiYOYAyLjCeX/AXzdd2iObhybAzQMhNMh79YlvKQBEhG7RkHkT/PsgbMyHgh/caxcSCGnd4apE58VlaV4UACICOLuEBnZzfh06Cnt+hIOHobAUTp5xDhsNCoTI1s7HSsRFQlKM3vE3ZwoAEamlY1vn19AEf1civqSLwCIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAaBdTCBJsha5K/q3BfcN2P4G/w+prT/oP3XwMRdykAWhiTiUb5gPGmyuj7L+IJdQGJiBiUAkBExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQ+O6mFcTigotLfVbgv2Oz8FC9vcTjAftZ762sMAUHefQ1E3KUAaGEqKmFutr+rcF/WJO9+hKP9LHyy0HvrawzDZ4I52N9ViBGpC0hExKAUACIiBqUAEBExKAWAiIhBKQBERAxKASAiYlAKABERg1IAiIgYlG4EEwG2F3zKo78fXm1aaHBr4jokMWLgVCZc9V+YzfpzkZZFv9EiFxg+4C7Se92EAwelxy2s/def+f3KRzjwQx4P37bE3+WJeJUCQOr08hTvPaBm1psOr63LlxJjBzIidUrVzxlX/pxpz/Xig29e4/7Rv6Zdmw5+rE7EuxQA4tIx6wGGTX6RgWMe9ncpftUquDW9ug5hw7+XU3y4QAEgLYouAotLe7eupMcVGf4uo0koOVwAQERYpJ8rEfEunQGIS2WWfFJG/sLfZTS602dPcrTcisPhvAawctPv2V20lV7x6cR1SPJ3eeInlXaw/6cX09E8ejPdYsgzAKvVSmZmJgkJCYSGhhIfH8+sWbMoLy9n2rRpmEwmFi1a5O8y/abi9AmCQ8P9XYZf/HnNU9w2vwO3P30ZD76YzMpNr3J1v1t4+r5/+Ls0aWR2O+wsgiWfwKPL4Php5/QTZ+DT7+DkGf/W5w2GOwPYtm0bY8aMwWKx0Lp1a/r06UNxcTELFy6koKCAI0eOADBgwAD/FupHB3LX0qX/KH+X4RdjBz/INcm3Y7OfZW9JLtmfZmE9WkhwUGjVMrl7NvDYH8fUamurrMBur+Sj55rRJ/KIS8dPw2ufwX5r7Xl2B/z9X/DBdrhvGPTu3Pj1eYuhzgCsVisZGRlYLBZmz55NSUkJOTk5WCwWsrKyWL16NZs3b8ZkMpGcnOzvcv2mJH8jnZKurDZtY/ZjvDzFxI7PXq+1vMPhYPkz17HovhCsB79trDJ9IjY6kYFJI0jvNYZJwzP51f0r+b5wMy+/+1DVMv17DGPlr09U+/pT5i4iWkdz742/8mP14g0nK+D/1rk++F/ojA3+8Cl8X9IoZfmEoQJg5syZFBYWMmPGDBYsWEB4+PlujszMTFJSUrDZbHTr1o2IiAg/Vuo/Drsdh8NBQIC52vQht84nKq4fn7/1CMcPF1abt/XD/6Xou88YfMvTRMf3a8xyfa5vtysZMXAqn27PZse+L10uU2E7w9N/voV+3a7m7hsea+QKxdtW5IDlqHvL2h2w9AuosPm2Jl8xTADk5eWRnZ1NdHQ0zz77rMtlUlNTAUhJSamadi4w0tPTCQkJwVTHh7cuX76cW2+9la5duxIWFkavXr14/PHHOXHihPd3xocse74hpmd6renmwGBGTV+K7Uw5616bVjW9tPh7Nr3zODE9B5M6bk5jltpoJo94goAAM0s/etLl/JfffYiKs6eZM+mNxi1MvO7kGdiyz8M2FZCz3yfl+JxhAmDZsmXY7XYmT55MmzZtXC7TqlUroHoA7N69m3fffZeYmBgGDRpU5/oXLFiA2WzmN7/5DR988AE/+9nP+N3vfsfo0aOx2+3e3RkvKfruc+yV1d+67N/+IV2TR7tc/rLuA0nLmMeB3DXkrl/i7O9efA8Oh4NR05fWOmtoKWKjExiecidbd39M7p4N1ea9/8VCvs5bxdP3/Z3Q4DA/VSjesnkv2BpwCefLfO/X0hgMcxF4/fr1AAwfPrzOZQoLnV0bFwbANddcQ0mJs5Nv/vz5bNy40WXblStX0qHD+ZuErr32Wjp06MDkyZP54osvuOaaazyuOS0tDYvF4lEbc1ArJj5z8d/GXV9ls+61n5LxyAri+5x/Tc6cOkpIWNs626VPeII9OSv44q+P8uP+bRwq+IZhd79A+86Xe1TnOUmJiVSePdWgtq4EB7ZiyQzv/zXedcPjfLJtGUvXPMmChz4BYNvuT3ht9Vx+89MPiIns1uB1JyYlUmHz3msgDTfwlt/SY/CUiy9Yw57icuLiGvY3cKliYmLYsmVLg9oaJgD273eeo3Xt2tXlfJvNVnVwvzAAAgLcO0m68OB/TlpaGgBFRUUe1XqOxWLxuG1giHvvQpOGTKLs0G725JwPgGPWA0REu359zjEHBjFq+lL+9uQgcj/+HZ2TruaK0b/0qMYLFZcUYztzssHtawoNati78JSe17H2+boHeHft2Lva6B7LkX088+YdPDDueVJ6XtegbZ5TUlzM6bPeew2k4fqcaVhnvskc3OC/c38yTACUl5cDcOqU63da2dnZWK1WwsPD6d69u1e2+cknzneKvXv3blD7mJgYj9uYg1q5vWzPtImsfGE81055CXDe/dvdjbt/Q8LaYg4KwV55lm4DbsLkZki60rlTZ6+fAfja6YqTPPXGBIb2Gc+Eq2Zc8vo6de6sM4AmIpDTDWpXcfIIsbGxXq7GPQ05TpxjmACIiYmhtLSUnJwchg4dWm1eSUkJc+Y4L2AmJyfXeaHXE0VFRTzxxBOMHj26wfcUNOS07owN5ma7t2xUbB8wmThcuIOouL6UHdpNSsee9bZxOBysXXI/dlsFkZ17880/niFx8B20u0i7uuzKzyfEi7+FlRXwyULvrc+VDbnvsqdkO0XWXXy6vfaL/cdHd3JZ+y5ury9/Vz7mYG9WKA21zwr/+5Hn7UaldWRxYeHFF2xiDBMAI0aMIC8vj6ysLEaOHElSkvO2/s2bNzN16lSsVuegX2/cAHbixAluvvlmgoODef312uPmm5IeV2SwJ2cF4dFd3br7d/uaVyjM+5Sht/+anqk3s+z/DWTdH37CrY9/6pXgbA5Gpk5lZOpUf5chPtA1CuIiofCIZ+2uaqZPCTHMKKDMzEyioqI4ePAgffv2pX///iQmJpKenk6PHj24/vrrger9/w1x6tQpMjIy2Lt3L2vWrKFTp07eKN9nug90BsCB3DV06Tey3mVLLflsfHseHXsMIi1jLlFxfRl8y3yKvvuc7WteaZyCRXzIZIKbksGTtzKDukNM3eMmmjTDBEBcXBwbNmxg7NixhIaGsm/fPiIjI1m8eDGrV69m165dwKUFwNmzZ7ntttvYsmULH3zwAX369PFW+T4Te/kwyiz5FGx5v9bdvxdy2O2sXXwfDntltSGfqeMyuax7GhvfnkfZoYLGKlvEZ/rEwqQh7oVAn84wabDPS/IZw3QBgfNi7KpVq2pNP3HiBPv27SMgIIB+/Rp2J+u5eww+/vhj/vnPf5KeXvtmqqYowBxI1+Qbnf+uZxx/zj9foCT/S666M4vI2PMXtQMCzIya/oYhu4Kk5RrSEyJbw5pvYfeh2vPbhcHVSTC8N5ib8dtoQwVAXXbs2IHD4SApKYmwsNrDCJcvXw7Azp07q/3crVu3qqGev/jFL3jnnXf47//+b8LCwvjqq6+q2vfs2dPlMNGmomfqBOe5bx2OFOWx6d0niEkYwsCbZteaf64r6Mu3H2P7mlcYcONM3xUr0kiSYpxfJWWwowhOVUCQGWLbO88SmvOB/xyTw9GSnm7dMK+99hoPPPAAd9xxB9nZtUd11PWO9t577+WNN94AnGFw7l6Dmv70pz9x3333eavcenkyCqgpyJpEsxsF5G3DZ6JRQOIXOgMAcnNzgbr7/93JyH379nmzJPGzguLtvLT8AU6eOU7Hdl2Ze9dfqn0c5HN/u4+1/1rK+/9TSptW7fxXqMglaAEnMZfuYgEgxvN89n388tYlvD4nj2tT7mDJqker5m3IfY9Ac5AfqxPxDgUAzucEORwOxo4d6+9SpAnYXbSVViFtSIgdAMDItHvZtHMFZ20VlB4/xLL1v+GhjBf9W6SIF6gLSKSGkiN72VuSy/QXB1RNO1NxEuuxIl79xyweGPscYQb9yExpWRQAIi706jKY3z5w/pkAt83vwNb8dVzWrgtXJFzvx8pEvEcBIFJDp8ge/FB2oOrn8tPHOF1Rztbd69mx9wu+zjt/L8mDLybzP/f9g4TYK/xRqsglUQCI1JAQO4DAgCD+tWstqUkjWfnlq1ybMok5k/5UbbmRc0wseeTfGgUkzZYCQMSFeXe/xfNv38/C935G56gE/vvuN/1dkojXKQBEXOjeqT+vzqr/cdz1fYCMSHOgYaAiIgalABARMSgFgIiIQSkAREQMSk8DbWEcDqio9HcV7gs21/skao85HGA/6731NYaAIO++BiLuUgCIiBiUuoBERAxKASAiYlAKABERg1IAiIgYlAJARMSgFAAiIgalABARMSgFgIiIQSkAREQMSgEgImJQCgAREYNSAIiIGJQCQETEoBQAIiIGpQAQETEoBYCIiEEpAEREDEoBICJiUIH+LkC8S58J3Lz2H7z/Goi4SwHQwlRUwtxsf1fhvqxJEOLF38Lmtv/g/ddAxF3qAhIRMSgFgIiIQSkAREQMSgEgImJQuvQkIi45HGA9AUWlUH4G7HYIMkNkG4iLhLBgf1col0oBICJV7HbIK4Yvd0PBD3D6bN3LRreB/vFwVSJEhzdejeI9CgARwe6ATbth3Q4oLXevjfUEfJLn/OrVCW4eCJ3a+bRM8TIFgIjBHT4Bf/sK8g81fB3flUD+BzC6P1zfB8y6utgsKABEDOz7Enj9czhju/R1Vdph9XZnGPz0WmilawRNnnJaxKDyimHJp945+F+o4Ad49WM4VeHd9Yr36QxA6vTyFO89oGbWmw6vrauxtOT9LzzifOdfaffN+g/+Z/0/ux4C9DazyVIAiEvHrAcYNvlFBo552N+l+EVL3n9bJbz1JZz14KF5j4yGiFZw7BS8+KF7bfIPweffw3W9G1an+J6yWVzau3UlPa7I8HcZftOS93/Nt1By1LM2Ea2gXZjzuydWb4cfjnnWRhqPIQPAarWSmZlJQkICoaGhxMfHM2vWLMrLy5k2bRomk4lFixb5u0y/KrPk0y4mwd9l+E1L3f/jp+DjnY23vbOV8M/tjbc98YzhuoC2bdvGmDFjsFgstG7dmj59+lBcXMzChQspKCjgyJEjAAwYMMC/hfpRxekTBIca986elrz/XxX4rt+/Lv8+CEdPQVsPzx7E9wx1BmC1WsnIyMBisTB79mxKSkrIycnBYrGQlZXF6tWr2bx5MyaTieTkZH+X6zcHctfSpf8of5fhNy11/+12+DLfD9v9z01m0vQYKgBmzpxJYWEhM2bMYMGCBYSHn3+Xl5mZSUpKCjabjW7duhEREeHHSv2rJH8jnZKurDZtY/ZjvDzFxI7PXq+1vMPhYPkz17HovhCsB79trDJ9pqXuf3EZlJ70z7Z3Fvlnu1I/wwRAXl4e2dnZREdH8+yzz7pcJjU1FYCUlJSqaecCIz09nZCQEEx1fHbfhg0bGDFiBJ06dSIkJIS4uDgmTZpEXl6e93fGhxx2Ow6Hg4AAc7XpQ26dT1RcPz5/6xGOHy6sNm/rh/9L0XefMfiWp4mO79eY5XpdS97/wiP+23ZxaeN3PcnFGSYAli1bht1uZ/LkybRp08blMq1aOTspLwyA3bt38+677xITE8OgQYPqXH9paSn9+/dn4cKFrFmzhqysLHbs2MHQoUMpLCyss11TY9nzDTE902tNNwcGM2r6Umxnyln32rSq6aXF37PpnceJ6TmY1HFzGrNUn2jJ+3/QjwFgs4PFw5FH4nuGCYD169cDMHz48DqXOXegvjAArrnmGkpKSlixYgUjRoyos+348eN56aWXuP3227n22muZPHky7733HkePHuXdd9/10l54V9F3n2OvrH4b6P7tH9I1ebTL5S/rPpC0jHkcyF1D7vol2O2VfLT4HhwOB6OmL631rrmpM9r+u/uQN18p8/P2pTbDjALav38/AF27dnU532azsXHjRqB6AARcwm2MUVFRAAQGNuxlTktLw2KxeNTGHNSKic9c/Erfrq+yWffaT8l4ZAXxfc6H4plTRwkJa1tnu/QJT7AnZwVf/PVRfty/jUMF3zDs7hdo3/lyj+o8JykxkcqzpxrU1pXmtv/g/degLsN++lc6Jl7jct65G73qEhF6/vv8ifVvp66bxX7ywHSKcle7Wa24KyYmhi1btjSorWECoLzc+fbj1CnXf2jZ2dlYrVbCw8Pp3r17g7dTWVmJ3W5n//79zJs3j5iYGO64444GrctisVBU5NnVs8CQMLeWSxoyibJDu9mTc/4AeMx6gIho1wF5jjkwiFHTl/K3JweR+/Hv6Jx0NVeM/qVHNV6ouKQY2xnvXZlsbvsP3n8N6nKq/ESd887d6HUxAQHuLefKjz+UePz7LL5lmACIiYmhtLSUnJwchg4dWm1eSUkJc+Y4+2+Tk5PrvNDrjmuvvbbqTCIhIYH169fToUOHBtfsKXOQ+4Ote6ZNZOUL47l2ykuA8+7X7m7c/RoS1hZzUAj2yrN0G3ATpks4S+rcqbPXzwDc1RT2H7z/GtSpsu4+mGMX2XxEqPPgb7fDsdP1L1vXutqEQGxs7EWKFE815DhxjmECYMSIEeTl5ZGVlcXIkSNJSkoCYPPmzUydOhWr1Qpc+g1gf/zjHykrK2Pv3r08//zzjBo1io0bN9KlSxeP19WQ07ozNpib7d6yUbF9wGTicOEOouL6UnZoNykde9bbxuFwsHbJ/dhtFUR27s03/3iGxMF30O4i7eqyKz+fEC/+Fja3/QfvvwZ1+ew7eP9frudd7Pk+8yc63/kfOw3z3/d826b/3969h1VV53scf29AREBUsCTBBARSQbmIqF0cMbXI9FiN6XgZdZxy5oyTlYmjHkc7U2OazeSlOZnNjHmaPDjadLxMo5Y6mllpKhFSiIoKgs1OSUURgX3+2EeUALm4YQO/z+t59vOw1/W79sNen71+a63fssD+XRtwN2aP0zQYcxI4KSkJPz8/Tp06RUREBD169CAsLIz4+HhCQkIYOHAgUL79vy7uuusu+vTpw+jRo/nwww+5cOECixYtcsQm1IuQmGEcO7Chxne/pmxdRnb6TuIfmcdDT/0VW0kxH6z8CTZb4+rtsqZM2v5Ovs5bdwcftPNvhIwJgMDAQHbv3s3QoUPx8PAgKysLX19fVqxYwebNm8nIyABuPQBu1LZtW0JDQ8nMbLy3QQbH2neAJ1O3cmfk4JtOey7vCHvWzqJDSG/ihs3ELzCCPo/OJ+erXaRsXdYwBTuYSdsf6AseLZyz7rAOzlmv3JwxAQDQrVs3Nm3axIULF7hw4QKffvopTz75JAUFBWRlZeHi4kJkpONu5Pnmm2/4+uuv6dKl7s0D9S3grvvIzzvC0f1/q3D3641spaVsWzERW2lJuUseez2cxO3BcexZO4v8M0cbqmyHMWn73d2gd4hz1n13mHPWKzdnVABUJS0tDZvNRlhYGJ6eFS9xWLduHevWrePw4cPl3t/YRj9u3Djmz5/Pe++9x86dO1m5ciUDBgzAzc2NZ55pvH3Ku7i60bnnA/a/b3Id+4G/v0LukY/p+9h/4htwvYN3FxdXhkxZ1aSaQm5k2vbf44QdcZfb9bD4xkqtckBqaipQdfPPyJEjK30/YcIEVq1aBUDfvn1ZvXo1S5YsobCwkE6dOpGQkMDs2bOrvPegsejSa4T9LF0Vzuaks3f9XPxD+xL70PQK4681hXy8djYpW5cR/cBT9VdsPTBp+/3bQExnOHii4db5QI+GW5fUjsXW2H+yNIBp06axdOlSXnzxRWbPnu3scm5Jba6CaQwWjsJpVwE1Fo7+DKpzsRBe2gQXr9R8nmtXAeVfqt1VQHeHweMVe9aQRkJNQFR/BCDSnHh7wMha7pTPX7bv/Ku7X+BGft4wPKZ265GGpSYgrvcTJGKKqDthWDRsPFSz6Wv6HOBrvD1gSoLzrjqSmlEAiBjq/gj7qY8NBx273Dat4Of3w+3mPlKjyVAAiBhsYHf7TVrJn9WueacqkYH25iU9/rFpUACIGC4iEH51G7x3APYdh7pcFuLtASNioVfQTS+okkZGASAieLaEMf0gsaf9+b17M+FCNZ2+AYTcBveEQ1QncGvcj0OQSigARKRMOy94KAoe7An/Om9/iljOOfgoA66WQAtXGBIJnfwgsJ39l780XQoAEanAxQId2thfccFwIAu+uwye7jC48T72WGpJ9wGIiBhKASAiYigFgIiIoRQAIiKGUgCIiBhKVwE1M+6u9t4lmwp3B1873tS2Hxz/GYjUlAKgmbFYGrZr4cbG9O0XqQ01AYmIGEoBICJiKAWAiIihFAAiIoZSAIiIGEoBICJiKAWAiIihFAAiIoZSAIiIGEoBICJiKAWAiIihFAAiIoZSAIiIGEoBICJiKAWAiIihFAAiIoZSAIiIGErPTmpmbDYoKnF2FTXn7mp/ipej2GxQetVxy2sILi0c+xmI1JQCoJkpKoGZyc6uouYWjnLsIxxLr8KOpY5bXkNIeApc3Z1dhZhITUAiIoZSAIiIGEoBICJiKAWAiIihFAAiIoZSAIiIGEoBICJiKAWAiIihdCOYCJBydCfPvZ5QbpiHuxeBt4UzKHY8I+75Ja6u+rpI86L/aJEbJET/iPiuD2HDxrkLeWz7fDWvb3yWk9+k88wP33B2eSIOpQCQKi0Z57gOaqa9bXPYsupTWEAsg3qNK3s/7O5/Z/Kirrz/2ZtMevBF2nrf5sTqRBxLASCVOm89yX1jf0ds4jPOLsWpWrl70bVzX3Z/sY7T3x5VAEizopPAUqnjBzcSEjPM2WU0CrnfHgXAx9PXyZWIOJZxAWC1WklKSiI0NBQPDw86derEtGnTKCgoYPLkyVgsFpYvX+7sMp0uP+8Ibf1DnV1Ggyu8eonvCqzkX/wXx3NTWfruL8jMOUjXTvEE3hbu7PKcIv8SXP3/LsaLS+wvaR6MagI6dOgQiYmJ5OXl4eXlRffu3Tl9+jRLly7l6NGjnD17FoDo6GjnFupkRYUXcfdo7ewynGL11nms3jqv3LB7Ix/ll4+85qSKnCcjD3Z9DWk59ucsABQUwfz3oG8XuDcc2no6tUS5RcYEgNVqZdiwYeTl5TF9+nTmzZtH69b2ndyiRYuYOXMmbm5uWCwWevbs6eRqnetk6jbu7DHE2WU4xdA+T9K/50iKS69yPDeV5J0LsX6XjXsLj7JpUo/tZvYfEyvMW1xSRGlpCVsWNe2fyDYb/D0FtqVVPv5iIXyQBp9kwpMJcKdfw9YnjmNME9BTTz1FdnY2U6dOZfHixWU7f4CkpCSioqIoLi4mKCgIHx8fJ1bqfLlH9nBH+N3lhu1Jns2ScRbS/vmnCtPbbDbWvTCA5RNbYj31ZUOVWS8C2ocRGz6I+K6JjEpI4jeTNvJ19j6WrP9Z2TQ9Qu5j44sXy73+nJSBj1d7JjzwGydW7xjb0qre+d/o4hV4fTucOV//NUn9MCIA0tPTSU5Opn379ixYsKDSaXr16gVAVFRU2bBrgREfH0/Lli2x1PC5fYmJiVgsFubPn3/LtTc0W2kpNpsNFxfXcsP7PjYfv8BIdv3lWS58m11u3MF/vErOV/+kz6PP075TZEOWW+8igu5mUOx4dqYkk5b1caXTFBVf4fnVjxIZdC9j7p/dwBU6Vv4leP+Lmk9/qQg2Hqy/eqR+GREAa9asobS0lLFjx+Lt7V3pNK1atQLKB0BmZibr16/H39+f3r1712hda9eu5dChQ7dcs7PkHfsM/y7xFYa7urkzZMpbFF8p4IM3J5cNP3f6a/b+dQ7+XfrQ6+EZDVlqgxk7aC4uLq68teXXlY5fsv5nFF0tZMaoVQ1bWD34+Mj19v6aSsuBcwX1U4/ULyMCYPv27QAkJCRUOU12tv1X7Y0B0L9/f3Jzc9mwYQODBg2qdj3nz5/n6aefZvHixbdYccPI+WoXpSXF5YadSPkHnXs+WOn0twfHEjdsFidTt5K6/Q17e/eKH2Oz2Rgy5a0KRw3NRUD7UBKiRnMw80NSj+0uN+5vHy3l0/RNPD/xPTzcm/4Z0X3Haj+PzQb7jzu+Fql/RpwEPnHiBACdO3eudHxxcTF79uwBygeAi0vt8nHOnDmEh4czduxYxo0bV/0M1YiLiyMvL69W87i2aMUjLxypdrqMT5L54M2fMuzZDXTqfj0Yr1z+jpaebaqcL37EXI4d2MBH7zzHv04c4szRz7hvzCu063hXreq8JjwsjJKrl+s0b2Xc3VrxxtTqt7+2fnT/HHYcWsNbW3/N4p/tAOBQ5g7e3DyT3/70ffx9g+q87LDwMIqKHfcZ1JnFwmO/zcJShyBf+vpqJr3XtJu/mip/f3/2799fp3mNCICCAvvx6eXLlX/JkpOTsVqttG7dmuDg4DqtY//+/axcuZLPP/+8znV+X15eHjk5ObWax61lzX6FhvcdRf6ZTI4duB4A560n8WlfeUhe4+rWgiFT3uJ/ft2b1A//i47h9xLz4NO1qvFGp3NPU3zlUp3n/z6PFnX7FR7VZQDbXq667aNzh27lru7JO5vFC28/zhMPv0xUlwF1Wuc1uadPU3jVcZ9BnVks2IC6dABSUHCx1v+r4nxGBIC/vz/nzp3jwIED9OvXr9y43NxcZsywt1337Nmzxid6b1RSUsKUKVOYOnUqERERDqkZ7HXXlmuLVjWetkvcI2x8ZTg/GPd7wH73b3AN7v5t6dkG1xYtKS25SlD0Q1hqeaR0o453dHT4EUB9Kyy6xLxVI+jXfTgj7pl6y8u7o2PHxnEEAFzOP42Xb6daz2e5+h0BAQH1UJFUpy77iWuMCIBBgwaRnp7OwoULGTx4MOHh9js69+3bx/jx47FarUDdbwBbvnw5Z86ccfhVP3U5rLtSDDOTazatX0B3sFj4NjsNv8AI8s9kEtWhy03nsdlsbHtjEqXFRfh27MZn//sCYX0ep20181Ul48gRWjrwv7CkCHYsddzyKrM7dT3HclPIsWawM6Xih/3H5w5ze7s7a7y8IxlHcHV3ZIV19/4XsCW1dvO4WGD9G7No6zmrfoqSemNEACQlJfHOO+9w6tQpIiIi6Nq1K4WFhWRmZpKYmEhQUBBbtmwp1/5fU1arlblz57J48WKKi4vJz88vG1dYWEh+fj4+Pj61Pp/QUEJihnHswAZat+9co7t/U7YuIzt9J/1GvkiXXv/Gmv+I5YOVP+GxOTvrdPTUFA3uNZ7BvcY7u4x60S8Utn0JpbW4EigyUHcEN1WNc6/kYIGBgezevZuhQ4fi4eFBVlYWvr6+rFixgs2bN5ORkQFQpwDIzs7mwoULTJkyhXbt2pW9ABYuXEi7du04efKkQ7fHkYJj7QFwMnUrd0YOvum05/KOsGftLDqE9CZu2Ez8AiPo8+h8cr7aRcrWZQ1TsNSrtp7wUC2+Bl4tYVhM/dUj9cuIIwCAbt26sWnTpgrDL168SFZWFi4uLkRG1v4mptDQUHbs2FFheEJCAhMmTGDixIm31EZX3wLuuo/8vCMc3f83Bk9ZVeV0ttJStq2YiK20pNwln70eTiJz37vsWTuLoOihdW4Kksbj/u72zt+qawry8bB3BXGbmd1GNQvGBEBV0tLSsNlshIeH4+lZ8Th23bp1ABw+fLjc+6CgIOLi4vD29mbAgAGVLjsoKKjKcY2Fi6sbnXs+YP/7Jpf/Hfj7K+Qe+Zh7Ri/EN6Db9fldXBkyZZWRTUHNlcUCiT0hvAPsyoDUU+WbhHxa2ZuK7gmz/y1Nl/EBkJpq/5lTVfPPyJEjK30/YcIEVq1aVa+1NZQuvUbYv/VVOJuTzt71c/EP7UvsQ9MrjL/WFPTx2tmkbF1G9ANP1V+x0mC6dLC/vrsMZ76zHxV4uts7f3M1ovG4+VMAVBMAttreF3+L8zlDWJ+RNx3vG9CNqX8uvOk0vYfPovfw5nMVyNHTKfx+3RNcunKBDm07M/NH/01hUQETXupCkH+Psunm/Xg9Hds372avNq3sL2l+FADVBICY6eXkiTz3+J8JDYjmH5/9iTc2PcePhzxPq5atWfHsIWeXJ+IQxh/Ibd++HZvNxtChQ51dijQSmTkHadXSm9CAaAAGx01g7+ENFJcUObcwEQcz/ghA5Ptyzx7neG4qU34XXTbsStElXF1bUFhUwC+W9KbUVsLdESMYc/8cXJtpJ3jS/CkARCrR9c4+vPTElrL3P5x/G8XFRayZm0M779s5f+ksL749inX/fIVRCUlOrFSk7oxvAhL5vjt8Q/gm//rNewWF5yksKsDfN5h23rcD4OPpywO9f8KXx3dXtRiRRk8BIPI9oQHRuLm04POMbQBs/PgP/CBqFBcL8ykuuQrYnwL20Zfv0iVAt8FK06UmIJFKzBrzF15eO4ml7/6cjn6h/GrM23xxbBert/waFxdXSkqLiQ4dyJj75zi7VJE6UwCIVCL4jh78YVr53ljv6/Eo9/V41EkViTiemoBERAylABARMZQCQETEUAoAERFDKQBERAxlsTWlbiulWjYbFJU4u4qac3e9aU/UtWazQelVxy2vIbi0cOxnIFJTCgAREUOpCUhExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFAKABERQykAREQMpQAQETGUAkBExFBGBoDVaiUpKYnQ0FA8PDzo1KkT06ZNo6CggMmTJ2OxWFi+fLmzyxQRqVduzi6goR06dIjExETy8vLw8vKie/funD59mqVLl3L06FHOnj0LQHR0tHMLFRGpZxabzWZzdhENxWq1EhMTQ3Z2NtOnT2fevHm0bt0agEWLFjFz5kzc3NwoKSkhPz8fHx8fJ1csIlJ/jAqAMWPGsGbNGqZOncqyZcsqjI+OjiYlJYXg4GCOHTvmhApFRBqOMecA0tPTSU5Opn379ixYsKDSaXr16gVAVFRU2bDs7GymTp1KfHw8LVu2xGKxVDrvzp07sVgsFV5qShKRxsqYcwBr1qyhtLSUsWPH4u3tXek0rVq1AsoHQGZmJuvXr6d37964u7uzZ8+em67ntddeIzY2tuy9l5eXA6oXEXE8YwJg+/btACQkJFQ5TXZ2NlA+APr3709ubi4A8+fPrzYAunfvTt++fW+1XADi4uLIy8tzyLJEpHny9/dn//79dZrXmAA4ceIEAJ07d650fHFxcdnO/cYAcHFxXitZXl4eOTk5Tlu/iDRvxgRAQUEBAJcvX650fHJyMlarldatWxMcHFzn9YwaNQqr1Yqfnx/Dhw/npZdeon379nValr+/f53rEBEz3Mp+wpgA8Pf359y5cxw4cIB+/fqVG5ebm8uMGTMA6NmzZ5Unem+mTZs2zJgxg/79++Pt7c3evXtZsGABn3zyCfv378fDw6PWy6zrYZ2ISE0YEwCDBg0iPT2dhQsXMnjwYMLDwwHYt28f48ePx2q1AnW/ASwmJoaYmJiy9wMGDCAyMpLhw4ezZs0aJk2adMvbICLiSMZcBpqUlISfnx+nTp0iIiKCHj16EBYWRnx8PCEhIQwcOBAo3/5/qx5++GG8vLz0S15EGiVjAiAwMJDdu3czdOhQPDw8yMrKwtfXlxUrVrB582YyMjIAxwbANXVpUhIRqW/GNAEBdOvWjU2bNlUYfvHiRbKysnBxcSEyMtJh69uwYQMFBQXEx8c7bJkiIo5iVABUJS0tDZvNRnh4OJ6enhXGr1u3DoDDhw+Xex8UFERcXBwA48aNIyQkhNjY2LKTwIsWLSI6OprRo0c30JaIiNScAgBITU0Fqm7+GTlyZKXvJ0yYwKpVqwCIiIjgnXfe4dVXX+Xy5csEBgbyxBNPMG/ePNzd3euveBGROlIAUH0A1KS/vFmzZjFr1iyH1iUiUp+MOQl8M9UFgIhIc2RUd9AiInKdjgBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAylABARMZQCQETEUAoAERFDKQBERAz1f1yvnNSbFkRWAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 472.949x1371.22 with 1 Axes>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from kagomevqe import (\n",
    "    GuadalupeKagomeExtended16,\n",
    "    GuadalupeKagomeRotationalSymmetry,\n",
    "    KagomeHamiltonian,\n",
    ")\n",
    "from qiskit.algorithms.minimum_eigensolvers import VQE\n",
    "from qiskit.algorithms.optimizers import L_BFGS_B\n",
    "from qiskit_ibm_runtime import Estimator, Session\n",
    "\n",
    "ansatz = GuadalupeKagomeRotationalSymmetry()\n",
    "ansatz.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{   'aux_operators_evaluated': None,\n",
      "    'cost_function_evals': 7,\n",
      "    'eigenvalue': -18.0,\n",
      "    'optimal_circuit': <kagomevqe.ansatze.GuadalupeKagomeRotationalSymmetry object at 0x12e938400>,\n",
      "    'optimal_parameters': {   Parameter(θ0): -1.5707963267948966,\n",
      "                              Parameter(θ1): -1.5707963267948966,\n",
      "                              Parameter(θ2): -1.5707963267948966,\n",
      "                              Parameter(θ3): -1.5707963267948966,\n",
      "                              Parameter(θ4): -1.5707963267948966,\n",
      "                              Parameter(θ5): -1.5707963267948966},\n",
      "    'optimal_point': array([-1.57079633, -1.57079633, -1.57079633, -1.57079633, -1.57079633,\n",
      "       -1.57079633]),\n",
      "    'optimal_value': -18.0,\n",
      "    'optimizer_evals': None,\n",
      "    'optimizer_result': <qiskit.algorithms.optimizers.optimizer.OptimizerResult object at 0x12e86da20>,\n",
      "    'optimizer_time': 43.19862508773804}\n"
     ]
    }
   ],
   "source": [
    "\n",
    "x0 = [-np.pi/2] * ansatz.num_parameters\n",
    "\n",
    "with Session(backend=\"ibmq_qasm_simulator\") as session:\n",
    "\testimator = Estimator(session=session)\n",
    "\tvqe = VQE(estimator, ansatz, L_BFGS_B(), initial_point=x0)\n",
    "\tresult = vqe.compute_minimum_eigenvalue(KagomeHamiltonian.pauli_sum_op())\n",
    "\tprint(result)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, this doesn't necessarily scale well to extensions of the lattice without that symmetry.\n",
    "\n",
    "Here is one possible extension of the Kagome lattice using all 16 of Guadalupe's qubits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kagomevqe import Kagome16AsymmetricHamiltonian\n",
    "\n",
    "extended_lattice = Kagome16AsymmetricHamiltonian.lattice()\n",
    "kagome_pos = {\n",
    "    0: [0, -1],\n",
    "    1: [0.5, -2],\n",
    "    2: [1, -1],\n",
    "    3: [1.5, 0],\n",
    "    4: [0, -3],\n",
    "    5: [2, -1],\n",
    "    6: [1.5, -4],\n",
    "    7: [1, -3],\n",
    "    8: [2.5, -2],\n",
    "    9: [3, -1],\n",
    "    10: [2, -3],\n",
    "    11: [4, -1],\n",
    "    12: [3, -3],\n",
    "    13: [4, -3],\n",
    "    14: [4.5, -2],\n",
    "    15: [3.5, -4],\n",
    "}\n",
    "style = {\n",
    "    \"with_labels\": True,\n",
    "    \"font_color\": \"white\",\n",
    "    \"node_color\": \"purple\",\n",
    "    \"pos\": kagome_pos,\n",
    "}\n",
    "extended_lattice.draw(style=style)  # type: ignore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{   'aux_operators_evaluated': None,\n",
      "    'cost_function_evals': 207,\n",
      "    'eigenvalue': -23.961999999999996,\n",
      "    'optimal_circuit': <kagomevqe.ansatze.GuadalupeKagomeExtended16 object at 0x12ebba0e0>,\n",
      "    'optimal_parameters': {   Parameter(θ1): -1.5707964353761135,\n",
      "                              Parameter(θ0): -1.570796547059651,\n",
      "                              Parameter(θ6): -1.570796661845509,\n",
      "                              Parameter(θ5): -1.5707962895670506,\n",
      "                              Parameter(θ2): -1.570796143757988,\n",
      "                              Parameter(θ4): -1.5707964974225233,\n",
      "                              Parameter(θ3): -1.5707960724046168,\n",
      "                              Parameter(θ7): -1.5707963081809737},\n",
      "    'optimal_point': array([-1.57079655, -1.57079644, -1.57079614, -1.57079607, -1.5707965 ,\n",
      "       -1.57079629, -1.57079666, -1.57079631]),\n",
      "    'optimal_value': -23.961999999999996,\n",
      "    'optimizer_evals': None,\n",
      "    'optimizer_result': <qiskit.algorithms.optimizers.optimizer.OptimizerResult object at 0x12ebba1d0>,\n",
      "    'optimizer_time': 1433.0565533638}\n"
     ]
    }
   ],
   "source": [
    "ham = Kagome16AsymmetricHamiltonian.pauli_sum_op()\n",
    "ansatz = GuadalupeKagomeExtended16()\n",
    "x0 = [-np.pi/2] * ansatz.num_parameters\n",
    "\n",
    "with Session(backend=\"ibmq_qasm_simulator\") as session:\n",
    "\testimator = Estimator(session=session)\n",
    "\tvqe = VQE(estimator, ansatz, L_BFGS_B(), initial_point=x0)\n",
    "\tresult = vqe.compute_minimum_eigenvalue(ham)\n",
    "\tprint(result)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That consistently reaches approximately -24, which is not very close to the real ground state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-25.87852551 -25.68883101 -25.17690821]\n"
     ]
    }
   ],
   "source": [
    "from qiskit.algorithms.eigensolvers import NumPyEigensolver\n",
    "\n",
    "# find the first three (k=3) eigenvalues\n",
    "exact_solver = NumPyEigensolver(k=3)\n",
    "exact_result = exact_solver.compute_eigenvalues(ham)\n",
    "print(exact_result.eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above results are from ideal simulators. Given the noise on Guadalupe, even the unit-cell problem becomes difficult.\n",
    "\n",
    "## Rotoselect\n",
    "\n",
    "These past couple months, I've explored implementing the Rotoselect algorithm as described by Ostaszewski, Grant, and Benedetti in \"[Structure optimization for parameterized quantum circuits](https://doi.org/10.22331/q-2021-01-28-391)\". It's been shown to approach the ground state relatively quickly even when the initial circuit choice is poor.\n",
    "\n",
    "Rotoselect is implemented in Pennylane as an optimizer, so in addition to the paper, I had that code as a reference. However, the same architecture is not possible in Qiskit, because an Optimizer does not have access to the circuit for modification of gates. Instead I implemented Rotoselect as a subclass of VQE, with an associated transpiler TransformationPass subclass to handle circuit modification.\n",
    "\n",
    "I also spent significant time on the choice of ansatz. The most illuminating paper in this regard was \"[Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms](https://doi.org/10.48550/arXiv.1905.10876)\" by Sim, Johnson, and Aspuru-Guzik. I focused in my work primarily on circuit 11 from that paper.\n",
    "\n",
    "The authors derived circuit 11 from Michael Geller's 2017 paper \"[Sampling and scrambling on a chain of superconducting qubits](https://arxiv.org/abs/1711.11026)\", a study of the performance of Josephson sampler circuits as a practical means to embed large amounts of classical data in a quantum state.\n",
    "\n",
    "Among the 19 circuits in Sim et al., this ansatz provides the best balance of high expressibility, low parameter count (96), and low transpiled depth (24). The RZ and CX gates are native to Guadalupe. Only RY requires transpilation to SX-RZ-SX-RZ.\n",
    "\n",
    "It was important to adapt the circuit 11 template with nearest neighbor connectivity specific to Guadalupe. In my code, the ansatz is encapsulated in a class named `GuadalupeExpressibleJosephsonSampler`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1476.28x1371.22 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from kagomevqe import GuadalupeExpressibleJosephsonSampler\n",
    "joe = GuadalupeExpressibleJosephsonSampler()\n",
    "joe.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Results\n",
    "\n",
    "None of my results are within 1% of the true ground state energy.\n",
    "\n",
    "I have had zero fully successful runs on Guadalupe. Even those that started fine have all errored out sometime during optimization. I had 20 guadalupe jobs fail between April 1 and April 10, when I believe a hardware issue was fixed. During that period I started running simulations with the Guadalupe noise model, both on the IBM QASM simulator and locally with Aer.\n",
    "\n",
    "- On April 14, guadalupe partially ran a BFGS optimization on the rotational symmetry ansatz. It errored after 40 iterations and had definitely not converged. Interestingly, the best value was iteration 16: **-17.72233333**. This was job cgsp6mlevgbv2i5rjigg.\n",
    "\n",
    "Here's a plot of that session.\n",
    "\n",
    "![Guadalupe aborted run](04-14-22-58-19+0000-fig-values.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Best results so far with noisy simulations:\n",
    "\n",
    "- When using the simple rotational symmetry ansatz at the top of this notebook, noisy simulations typically result in values around -16, sometimes as low as **-16.4758333333333** as in IBM QASM simulator session cgqqrgc5firqikfnuki0 using the `L_BFGS_B` optimizer, which ran for about 20 hours.\n",
    "- On April 13, I had one noisy Aer simulation that reached **-14.890625**. This one used Rotosolve only (no gate modification) on the expressible Josephson sampler ansatz. It ran for 19.4 hours on a 128 vCPU cloud VM.\n",
    "- Also on April 13, another simulation reached a similar value: **-14.8203125**. It used Rotoselect (switching to Rotosolve after some iterations) and the Josephson sampler ansatz. It ran for 13.2 hours on that same HPC machine.\n",
    "- On April 15, in a final noisy HPC Aer simulation I tried significantly more iterations as well as 3 Josephson sampler layers instead of 2. The final value was unremarkable at **-13.80859375**. However, the graph indicates that perhaps Rotoselect might be able to continue descending if given extensive run time. The algorithm switched to Rotosolve halfway through, which then remained flat around -14.\n",
    "\n",
    "![rotoselect-rotosolve noisy simulation](04-15-22-45-34+0000-fig-values.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Source Code\n",
    "\n",
    "This submission is exactly the v1.0.0 release zip file of a github repository made public on April 15.\n",
    "\n",
    "All source code is available at https://github.com/towynlin/kagome-vqe. Sometime soon after OSP22 closes, I plan to contribute various pull requests to qiskit, qiskit nature, qiskit ionq, or other repositories as appropriate.\n",
    "\n",
    "The easiest way to run my experiment, on guadalupe or anywhere else, is to clone that repo (or use the submitted zip file, which is the same), set up the python 3.10 virtual environment per the readme, and then to run it on the command line, for example:\n",
    "\n",
    "`python -m kagomevqe --backend guadalupe`\n",
    "\n",
    "That will run Rotoselect on the Josephson sampler ansatz.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.23.3</td></tr><tr><td><code>qiskit-aer</code></td><td>0.12.0</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.20.2</td></tr><tr><td><code>qiskit</code></td><td>0.42.1</td></tr><tr><td><code>qiskit-nature</code></td><td>0.6.0</td></tr><tr><th>System information</th></tr><tr><td>Python version</td><td>3.10.11</td></tr><tr><td>Python compiler</td><td>Clang 14.0.0 (clang-1400.0.29.202)</td></tr><tr><td>Python build</td><td>main, Apr  7 2023 07:31:31</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>16.0</td></tr><tr><td colspan='2'>Fri Apr 14 19:33:04 2023 PDT</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table"
   ]
  }
 ],
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   "display_name": "Python 3 (ipykernel)",
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