diff --git a/docs/tutorials/rb_example.ipynb b/docs/tutorials/rb_example.ipynb index 10ea5b09c6..941588f546 100644 --- a/docs/tutorials/rb_example.ipynb +++ b/docs/tutorials/rb_example.ipynb @@ -17,6 +17,7 @@ "source": [ "import numpy as np\n", "import qiskit_experiments as qe\n", + "import qiskit.circuit.library as circuits\n", "rb = qe.randomized_benchmarking\n", "\n", "# For simulation\n", @@ -41,23 +42,24 @@ "text/plain": [ "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: d1d5fd68-5738-4ece-a8d7-5eeafebab992\n", + "Experiment ID: 792f7a4b-4fa6-4a10-923e-df96eae4d8a0\n", "Status: COMPLETE\n", - "Circuits: 70\n", + "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.46238615 0.99415355 0.52084735]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.00683844 0.00027185 0.00683899]\n", - "- pcov: [[ 4.67642543e-05 1.24759963e-06 -4.24269785e-05]\n", - " [ 1.24759963e-06 7.39044902e-08 -1.55052804e-06]\n", - " [-4.24269785e-05 -1.55052804e-06 4.67717527e-05]]\n", - "- reduced_chisq: 0.4388697070118868\n", + "- popt: [0.46242383 0.99615594 0.52058961]\n", + "- popt_keys: None\n", + "- popt_err: [1.68690459e-04 2.71196427e-06 1.71806389e-04]\n", + "- pcov: [[ 2.84564709e-08 4.24770960e-10 -2.88930652e-08]\n", + " [ 4.24770960e-10 7.35475018e-12 -4.38101233e-10]\n", + " [-2.88930652e-08 -4.38101233e-10 2.95174352e-08]]\n", + "- reduced_chisq: 1113.6527324644458\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.0029232259806683536\n", - "- EPC_err: 0.0001367262650201599" + "- EPC: 0.0019220290414467822\n", + "- EPC_err: 1.3612147214267936e-06\n", + "- plabels: ['A', 'alpha', 'B']" ] }, "execution_count": 2, @@ -66,7 +68,7 @@ }, { "data": { - "image/png": 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zazQazXmJV0JDKZUAzMbI7/0S8AgwHggC5pyPggOMlUZQECgFw/4dzFAmE56+Ecu7r+HvD4cOQV6eq6qnpllQ1DXuuecelFKlSpcuXZx9YmJinPX+/v7Exsby0UcfuZwnLy+PN998k0svvZSAgABCQ0Pp0qULH330UYWdwf73v//RsWNHrFYrF154oVdxo44ePcpdd91FSEgIISEh3HXXXRw7dsylz+7duxkwYAABAQGEh4fz+OOPk1fMSiMpKYmBAwcSFRWFv78/F198MdOmTSt1rYkTJ9KmTRtsNhutWrXi008/rdD9nQkiwtixY2nUqBE2m434+Hg2bdpU7jhvnuWsWbNo27YtFouFtm3b8v3335fqM2nSJJo1a4bVaqVjx478/vvvLu3fffcdCQkJznhaOmBpMTzZ4hYvwHIMU1tTiXpTUf0yb85zrktlJGHKzhbZskVkzx6Riy8W+ZzbJN/kKwcWb5JZsxbLt9/OdYa2ttvtMnfu3Frn7+Cgts0bN7bxgwcPlquvvrqUY1rxXBLR0dEyevRoSUtLk23btsmoUaMEkJkzZ4qISG5ursTHx0tISIhMmDBB1qxZIzt37pSvvvpK4uLiKvScdu7cKf7+/jJs2DDZvHmzTJkyRXx8fOTbb78tc1x5uSkKCgokNjZWevToIatXr5b58+dLVFSUDBs2zNnn5ZdfllGjRsmSJUtkx44dMmnSJDGbzfL55587+1Qkh0dZAGU6IZbEmxwZJfHmWS5btkzMZrOMHz9eNm/eLOPHjxez2eziE+NNDo9PP/1Uxo4dK59++qkA5f7N3X0Wq5vqdu47BVzroa0/cMqb85zrUlmZ+/bvF9m+XeTbb0XCOSjr1cWydfIi+fbbuTJ27Fj5+ee5ToExduxYmTt3bq3MwXG+CI3y8ktER0fLm2++6VJ30UUXyT//+U8REXn99ddFKSWrVq0qNbawsFCOHz/u9RyfeeYZadGihUvdkCFDpEuXLh7HeJObYs6cOaKUcnFg++yzz8RisZQ5v5tvvlluuOEG57G3OTzKoyJCw5scGe7w5lnecsstcvXVV7v0ueqqq5x/W5GK5UM5dOiQFholirc6jVzAU4jLIM7TAIYOwsIgPx+6dIHL+zXgElnH87/2pEuXBNq0iWP16mTGjRtHcnIycXFxRYp0HaeqNmG1Wp05Kz7//HOuvvpqOnUq7dtkMpmc0V5nzJiBUoqUlBSP512+fHmpfBEJCQn88ccfLjkySo4pLzfF8uXLnQH3ip83NzeX1atXe5zPiRMnXCLkepvDozLxJkeGO7x5lp76OM57pvlQNKfxVmgkAS8ppZoVryxKnDQWWFy506pZ+PlBaChkZ8Pzz4Ofn+KHb/PJHPU6VzZt5dK3T58+WmBUM/PmzXPJAxEYGMizzz7rtm9BQQEzZsxgw4YNXHXVVQBs27aNNm3alHudkJAQWrVqha+vr8c+6enpbnNBFBQUOHNkuBtTXm4Kd+f1FDXWwS+//MLChQt58MEHnXXe5PBwR7t27Vyeb8m6du3alflMHM+hOOXlJPHmWXrq4zjvmeZD0ZzGW+e+Z4GlwF9KqRVAGhAJdMGwpnL/H3keUb8+HDsGTZvC/ffDT5PSafLpeA6t/IzBJ7NAKT65916mTJlCq1at6NmzZ3VPuc7SvXt3pkyZ4lJXr149l+NRo0YxduxYcnNz8fPz4+mnn+ahhx4CvDdmGDRokEvCJk+4ywXhrr6sMY5xJQWJt2OXLl3K7bffznvvvUfnzp2d9eXl8PDEnDlzXFYiF110EXPmzKFxkddrWYLU0zxL3p+3Y0rWV1V+Do2BVysNEfkbuBh4D7AAl2EkYpoAdBCRbWUMPy/w9YXwcGO18fjjkBN+Ac/Jq8Rs2UzIqVNE+tfnAh8rBw4cYPny5c6wy5pzj7+/Py1atHApJbO6jRw5knXr1pGamkpWVhZvvPEGJpPx79CyZUu2bNlSKXOJjIx0my/Cx8eHsLAwj2McuSkciLjmpnB3Xk/fopcsWUK/fv0YN24cDz/8sEubI4fHqVOnSElJYffu3cTExDhzeHgiOjra5fmWrHOky/V0f0CFc5J48yw99XGc90zzoWhO47WfhoikichTIhInIhcV/XxGRNKqcoI1iZAQw/zW3x+eeUaYxCNsVxdSLyMDv63ruXvs87Rfv96rb1ma6iUsLIwWLVrQqFGjUt8wb7/9dn799VfcBbu02+2cOHHC6+t07dqVX3/91aVuwYIFdOrUyePnxJvcFF27dmXLli3s3bvX5bwWi4WOHTs663777Tf69evHmDFjeOKJJzzO01MOj6rAmxwZ7vDmWXbt2rXM/Bxnmw9Fg3fWU7W1VJb1VHGOHRP56y+R3btFerTaL9lYxCX3hq+v5O/Zd8bXrU7OF+spdya3Bw8edPZxZz1VnJycHOnevbvUq1dPJkyYIGvXrpWdO3fKrFmzpGvXrs7n9N1330mrVq1k7969Hs/lMBMdPny4bN68WaZOnSq+vr4uZqLuzlNebgqHyW3Pnj1lzZo1smDBAmnUqJGLye3ixYvF399fnnrqKY/P4kxyeIiIHDx4sMzcG8Wv4Q5vcmTcddddctddd1XoWS5dulTMZrO88sorsmXLFnnllVfEx8enlMlteTk8Dh8+LGvXrpXFixcLIFOnTpW1a9dKWlqa2/tx91msbs65yS2wCGhd7PeyykJP56nOUhVCo7BQZMcOkdRUkaRXl8pRgl2ERq7NX47MXnrG161OzhehgZtcEI0bN3b2KU9oiBiC47XXXpOLL75YrFar1KtXT+Li4mTy5MmSm5srIiLTp0/3ytQ0KSlJLr30Umcehw8//NCl3d15vMlNkZqaKtdee63YbDYJDQ2VYcOGSU5OTrnPoniejzPJ4SFiPEN353Z3DXd4kyOjR48e0qNHjwo9SxGRb775Rlq1aiW+vr7SunVrmTVrVqk+5eXwcPxNShZPOUnqktDwmE9DKbUYeFhEtiqlkignyq2I1DjNb0XzaRSnrFj0mZmwb5+w7fcv6P3QEKxy2uI438eHnyfM4Jr7bsdqrV2KNZ1PQ6M5M2riZ7Gq8ml4tJ4qLgRE5MyufJ4SGAgWi7D5SBonEgYxaN6P5ONLoMpiU9u2bMtMIy1NiIlRaIMMjUZzPuFt7Km7lVJuTT2UUqFKqbsrd1o1G6UgMtJEUFA4h/t1Z2rjMfRlLn9YrqD1tu1Emv3IyzNRAX2pRqPR1Aq8NY+YDjT30NasqL1OYbNBkyYxNGgQw3W/P8Oh5t24N2cyvjm59Fj4KwEBRvj0KnKq1Wg0mmrBW6FR1iZLAFBQCXOpVYgIJlMOf/+9ktWrExk/XthCWz7gUaITf8Fv0xrMZjh40NCQazQazfmAR52GUqoDhhOfgwFKqdgS3WzAP4Hz3rmvJEoprrkmgbw8+PPPZCCZdu1uZMymFxns9yXBrzxHwZfzOXECsrKMEOsajUZT2ykrjMhAYEzR7wKM8tDvMDCkMidVW1BKMWBAQpHQgISERKakjuTGrC955PqL6ArObSqbDXy8Ddqi8Yro6Ggd+kFTIyjLA/58o6ztqf/D0FdciLE9dUPRcfHSCGgoIj9V8TxrJCLCr78mOo+Dg7O48catLOIqRv5fU7JPCWYpQCkjYZOmcklJSTlrX57FixdXuz/RuS76niu/lBXp+HyjLJPb48BxgKLotmkikuepf11DREhMTHSGQ2/VKoFVqxIpLPyG6Ogn2J9qJa9XfxoO6gzPjuf4cQgONlYeGo1GU1vxNmBhqhYYriilsFqtzvwZkZGK9u0TuOSSzjz66HYKlB9r9zbE/8O3MKfuxN8f0tKgoECnh9VoNLUXryOSKaUeVEqtVUqdUkoVlixVOcmaSnx8vDPhks0G9eopLrkkgTvuuIy77oKn5XVyC30IfvFJfHzgzz+T+PHHRKegcKxWdP5hjUZTW/DauQ94H1iFERJ9OvBf4ASwAxhXVROs6RRXxIaHQ2Ghwm6H556DgoaNeck+ClviD/j9bz7p6dvZuDGZX35JdNne2r59u15xaDSaWoG3K40ngFcBRzD+SSIyGENJno1hQeU1SqlHlFK7lFI5SqnVSqkry+l/i1JqXdEqJ1Up9XRFrneu8PWFhg3h1CkjjPqLL8K7jGCnqTmW/3uDhg2NBDVr1pxODws4E9doNBpNTcdboXER8BtgLyp+ACJyFHgZGO7tBZVSt2Ikb3oFuBRYBswtSh3rrn8/4AtgChALPAKMUEoN8/aa55KQEMO0Nj8fBgyAK3pZuc7+A/fV/56uXfvSrl1nl/6dO3emb9++2nRUo9HUCrwVGtmASYw9lHSMFYaDLAzTW28ZCcwQkakiskVEHsNIH/uwh/53AT+LyCQR2SkiszFWPc+qGvimNZkgIsLI8KcUvPYapATE8m1iEIk/5+GTne3Svwbegkaj0XjEY2h0l05KLQS+EZHJSqkvgfbAAxjhQyYCZhHpWNY5is7jB5wCbhORb4rVTwRiRaSHmzGzgDwRua1Y3f3AVKCZiKSU6P8g8CBAREREx5kzZ5Z7f+7IysoiMDDwjMaCsdKw2w0h8uOPjfloYgzrzJdh7hZB/Yz9ACx64QUAAgICCA4OPuNrVRZne8+1EX3PdQN9zxWjZ8+eFQ+NXoIpnF5dvAD8CiwpOs4ErvfyPOGAGThQov4AcLWHMYnABKVUn6LrtgCeLGqLAlKKdxaRKUXzpVOnTnKm8eTPNrdEfj7s3Gn4ZbRpAytWCPNW92HE7+9yvFlz/CMaA/X4+++VNG7cmAEDBlT7qqO25dOoDPQ91w30PVceXgkNEfmq2O/blVLtgK6AP7BMRDIqeN2Syxvlps7BVIwIuz8CvhgWWxOAsUCNNfV1KMUPHTLyb7z1luLGq5/nzsL/Ykk7gfIPJL51B0QgLMxW7QJDo9FovOGMMseLyEkR+VVEfqqgwMjAeNFHlqhvSOnVh+NaIiLPAoFAdNHYlUXNKRWa+DmmuFK8ZUsYMrI+PzKAejkH8d38JxHdmpNw8BAxMfHkaddJjUZTC/AoNJRSTStSvLlYkVf5aqB3iabeGFZUZY0tFJF9Ree4DVguIge9uW51YTJBVJShFAd47OZ07lZfAKDEjiknm/r/Gor1WDppaTqEukajqfmUtT2VQjl5wUtg9rLfO8BnSqmVwFJgKIb11WQApdSrQGcRuaroOBy4GUgCLMC9RcellOY1EZvNWHGcPAnpSbNo6GeC0ynFKTAp9vw2iwbXPcrRoxAaWn1z1Wg0mvIoS2jcR8WEhleIyFdFqWOfx1BkbwSuEZHUoi5RlM4SeDfwJobuYzkQLyIrqSU0aACZmcK2ghziCnNd2lReHtsKcogJEA4eNMKR2GzVNFGNRqMph7Ki3M6oqouKyCRgkoe2e0ocZ2Ao3WstPj6G74Yluh0/DxjA9T/8wEkJIIAsNlhjCbqoHUoZwiItDaKjweztuk2j0WjOIWekCNdUnOBghb+/hb3xCexr3JgNYe2YzEN0yFrP4YXHUUrh62v4dhys0ZoajUZTl/HK5FYpNa2cLiIidTJ7n/cIvr65HD2aTqHZTKPAdF5r249bfv+WNv+ZzLFhN1Ovvgl/fzh+3PDvqAH+fhqNRuOCt859vSit3wgFgoBjRUVTDkrZXY47xK9nwp/Deen4aF55cA73fNMfMARGWhpYreDnVx0z1Wg0Gvd4m4QpRkSalSghQDxGLKobq3KS5wv79xvhQz65914+ufdezGYh8/YgtnERtmULmTPH6Gc2G8Ji/35ju0qj0WhqCmel0xCR34B3MXJtaMpAKUXz5s2JjHT1a2zexsbEuz9nJO/y9NOQnm7UWyyQlwcZFfW112g0miqkMhThOzFCnGvKQETIzc0lPT2duLg4HnlkNC1bxnHkSDpX9D9Mjx5C+LFtPP/4CefqIiAAjhyBzMzqnbtGo9E4OCuhoZTyAe4B9lbKbM5jSuYUDwtTdO6cQJs2cVitVt7/VxobieUfS19j+nTHmNP6DR1mRKPR1AS8tZ5a5KbaD2gJhGF4dWvKIT4+HhFBKYVS0KiRIi8vgeBg43h3l1sYseJdLh4/lCuuaErr1oZ+w2wW9u9XNG1qhCZxnEOj0WjONd6uNEwY3pbB55AAACAASURBVNjFSybwHXCViEytmumdfxR/2dts0KCB4uRJ4zj4vZcxm2FM3r959FEjZtXq1UmsW5dIbq5w6BDO3OJJSUnVcwMajaZO4631VLyI9CxR+onIUBFJquI5nteEhhoe43l5UNi4KVn3j+BOPidg6x+89JKQl5fDxo3JbNyYyJEjws8/J5KcnExOTg7eJNDSaDSaysRbPw1NFeGIhJuaauTgyB3xHDmzPqXLkVVM/KQTjRs3IioqskhwJAPQsGEkFotFb1FpNJpzjteKcKXURUqpT5RSfyulThb9nKGUalGVE6wL2GwQHg6nToEEBXNkxTbCnjdSpr/3Xmt27Trp0v/gwXRycnL1SkOj0ZxzvBIaSql4YD3QH1iBEWxwBTAA2KCUqhVhymsyoaFFK41cwGbjgQdgWIcl5GQpfvrpnxQWnl5V1K8fSWxsHwzVkkaj0Zw7vF1pvA2sBaJF5G4ReVpE7gZigHVF7ZqzwLFNlZtreIFb/lzF++uuZITtfbZvb8TR9+oxuMgW9+jRdJYsmc+RI3qlodFozi3eCo22wOsiklW8UkQygdeBdpU9sbqIxWKEUD95EvIv6UTuP65irHqJehxh4vFh/J79DwDCwiIJCLBw8OBpyyuNRqM5F3grNPZi+GW4ww/YVznT0dSrZ+g4cnIVx194E1v2cT5s8giCiSePvE/jxt05fDid/Pxc/P2Fffu0459Gozl3eCs0XgdeVEo1Ll5ZdDwGeKWyJ1ZXUQoiI6GgAHLbXMqeXgncnDaLB/0/pXnBVr7/sDVt2nTBz8+Kr6+Rg2PfPigsrO6ZazSauoC3Jrc9MMKg71BKrQAOABFAl6Lf44uU5WDk1hhc2ROtS/j5GYJj/36o9/p/4Kr2TD5xL5kE4LOmgK8/msw/PrsbMLa0Tp0yAh02amQIHY1Go6kqvF1p/AMoBNKAaKBz0c80wA5cWaJozpLgYAgJgew8Myo3ByV2gsnEn2xuWTSU379Jd/b194esLDh8uBonrNFo6gRerTREpFlVT0RTmoYN4cd3PqARgqVYfR5+fPjM3zTtHEl0tFEXGAiHDhmrFJ3xT6PRVBU6R3gNRik7J8KCMRUUuNT7c4qteS154AEhO9vR1xAcaWmQk1MNk9VoNHWCiniE+yulhimlvlFKLVRKfa2UekQp5V+VE6zLmEwm7n7mKZJuuxO7Us7iQz53h89h0ybFM8+AwzHcbDZSxO7dC/n51Tt3jUZzfuKtR3gksAZ4D+gE+AOXAx8Aq5VSEVU2wzqOyWSi1/SP2de4MQciInj/scfI696bNzKG8KTve3z3HUybdrq/ry+AuFhU6XAjGo2msvB2pfEGUB+4sig/eNciPcc/gHoYJrmaKsButzN16hQKzWZyLRaOhYby8cABnLrmBvrdEQrAiy/CihVG/9Wrk1i/PpH8fCE9Hex2HUpdo9FUHt4KjX7Av0RkafFKEVkGPA9cW9kT0xgC45133uHAgQP4+fnRpEkMISERZGQe4YPuXWj10u08/DC0LfyTBx8Q9uw5HUr9zz8TycwUfvxRh1LXaDSVh7dCIxDY76Ftb1G7ppJRSmEyGX+i9RMmYPptMU2bGuZSymRGKcXzN23lD3U5rx55kAfus3PxxQnExsaxcWMyX301jj//TKZDByPFrA6lrtFozhZvnfv+Au4C5rlpuxPYWmkz0jhRSjFixAjmzZvHypUrWblyJQBt2nTmssv6GkKgVSuOP/gMD3w0nqDNmTw74lMmfNjHmXsD4KKL+nDypCJQi3aNRnOWeLvSeAu4TSn1q1LqPqVUP6XUvUqpROB24M2qm2LdRilF3759XeoGDeoLKAoKAKXIH/0SOx56g3/yFUNmD+KJh5a49F+4cCpz5y7Wprgajeas8Tbd63+BoUAs8B9gNvAxcDEwVES+qLIZ1nEcOcGLs3BhIlFRYiRtKlJT2EY/zbK7J9GPuUTO3cCFE1P41zc/0MTXxpEj6aSl/U1qql0HN9RoNGeF1+leRWSKUuo/QCsgFDgC/CUi9qqaXF3HITCSk5OJizP0Eo5jgM6dEzh4UDk9wGNefZint8GJ5f7ceOgrVEY+d40ZxeyBA9neJRg/PxN790LTpkZeco1Go6koZa40lFL3KKXWKaWylFJ7MbahdojIUhHZogVG1aKUwmq1OgWGUoqEhATi4uKwWq3Ur68ICTECFoJhbdX22kymqofwJxtfKcC3oIBrf/yR0Lx8fH3tiBjOfzoqrkajORM8Cg2l1G3ANAxHvtkYwQlHUAlh0Is8yXcppXKUUquVUmUGOVRKJSilliulMpVSGUqpH5VSLc92HrWB+Ph4F8snh+CIj49HKSM+lclkZPwzmUy0MNtKZT4pNJtpbrJhMpmw2Yyw6/v3GxkCNRqNpiKUtdJ4AvgeaCMit4rI5cCLwKNKKfOZXlApdSswAUP4XAosA+YqpZp66N8M+BH4vaj/1YANmHOmc6htlDSVLX5sNkPjxkbYkPx8Ozvs2ZhLLCN8cvPZlp+NvUhK+PtDdjYcOHBaJ6LRaDTeUJbQaAlMFZHib6BJgAVw+4L3kpHADBGZWrTF9RjGKuZhD/07Ar4YzoXbRWQd8CrQXCkVfhbzOG+wWIxcGtnZJuq36cjsgQPJ9/Eh289KPj74YCfokz1Onw8wghueOAEHD2rBodFovKcsdWgIhrK7OI7j+sCuil5MKeWHIQTeKtE0H+jmYdgfQD5wf5Ei3h8YDKwSkYyKzuF8JTAQwsLs7N69nWPt27M9Job6x47xZ2Y72n2zmXY71vDxpGyGPGJzjgkKgqNHjdVKuBa/Go3GC5Sn0BJKKTvGi3xlsWofIAcjCdOa4v29UYorpRph5BPvISK/FasfDdwhIq08jLsS+AYIx1gdrQX6ichBN30fBB4EiIiI6Dhz5szypuWWrKwsAmuhN1xGxmEKCgoo/udYseQCpkzqRK6yMmrUZrp3P+QyprDQCHSYnV077/lsqK1/57NB33Pd4GzuuWfPnqtFpJO7tvIML5d6qE8ucSxenKtk/+IoN3VGgxFh92PgU+BLjLSz44CvlVK9SgorEZkCTAHo1KmTxMfHV2Bap0lKSuJMx1YXIsK8eYmsXJlM69Zx/OMfCaxYkUhow0XccHsEv3wRQbdXnsHP8hwX3Xfa9sBuF7KyFPv2GfcsInUm5Eht/DufLfqe6wZVdc9lvehfrPSrQQZG2tjIEvUNMXKNu+NR4KSIPOOoUErdCezBWAkt8TCuzqGUwmaz0qlTHBddlEBBgaJLlwQALr10P/UKw4j5aidRL1zHX42W0KRvO1avTiIvL4fOnRPIz4fjx4XlyxOxWq117p9Mo9GUj0ehISKVLjREJE8ptRrojbHd5KA3MMvDMH8MQVMcx7HOPFgCx0ohJ0eRmgqBgYbgUEpx6aXwfPo8Xv1fV5o80JcDPyxzRsUFCA62Mnt2Itu2Gc6EdWnFodFovKM6XrrvAPcope5XSrVRSk0AGgGTAZRSryqlFhbrPxu4TCk1Ril1kVLqMmA6xkpj9bmefG3AWHFAVBRkZYGx+2covEd/HM0z7eYQaD+O/03X0DoyjnbtOrNxYzIZGWls25bMRRd1pls3HRVXo9GU5pwLDRH5CsMH5HlgHUYip2tEJLWoSxTQvFj/RRhBEQdiKMATMayp+orIyXM49VpHSIhhFWUIDgObDUZ904HhTX/AJ+8Uj92ylZ079zF4+nR6vfQSAIcOpfDf/37iMk6j0WigYsrrSkNEJmH4fLhru8dN3UzgzMyg6jhhYYbjX1YWBAQYdSEh8PgPvUgYuJkdeyykTm7ADfkv43vqFAGZmRwDLBZ/du+207SpSYdU12g0TrRO4DxHKYiIAD8/wwvcQUQETP/cl6DAk3y462Ga7d9NvT17GD5hAu3XrycgIIiAACNOlV5xaDQaB1po1AFMJiPUiFJGjCoHzZubeOfZ3+hJEmbsmOx2fAsKGPDLL7QMboCvr0kLDo1G44IWGnUEHx+44AIjWGF+/un669oHU+Dn69LXbjZzaT3DKtpsxik4MjPP5Yw1Gk1NxGuhoZRqrJR6Ryn1h1Jqp1Iqtqj+CaVUXNVNUVNZ+PkZgiMnx/ACt9vt/LxxCT72fJd+ptwCftqwxBng0CE49u0z4lVpNJq6i1dCQynVDtiAkSd8PxDN6QDc0cDwKpmdptKx2YzghidPgojiiJ8vPw8YgChFnvKjADPvyzC+WBSPw1QXTguO/fu14NBo6jLerjTeBrYAzYAbKP42MUKbd6nkeWmqkKAgiIyEkycVrVpdRsE/7yfv0i7kXNiUr9/ewzPmt1m8OI7pL+1zGWc2G4ER9++HY8eqafIajaZa8VZo/AN4TUSyKB0j6gClw4Joajj16kGDBpCXZyRvyvhpKckfTqXHrZEMH76efmouz0xpzq9Dv3UZZzIZgiM9HY6UjIGs0WjOe7wVGmVFsA0Hssto19RQ6tcXTKYcNm1KZsWKRABWrEgkOPgnYofWYxWXc9vPtzH/0R9dxplMxmrl4EHIyND5ODSauoS3QmMlcK+HtlvwHA1XU4MxmRTXX59AbGycM4zIxo3JxMbGMXxUFza/OYc1XMbtP9zMnMfmuoxVyhAcGRk6kZNGU5fwVmi8BAxQSs3HUIYLcLVS6hNgEPByFc1PU8U4BEdxHAEO+98ezIY35rGRWO78bhDT/73NRTgoBcHBhn4jPV3nHNdo6gJeCQ0R+R9wPYYifBqGIvw14ErgehEpmV9DU0sQERYsSHSpW7EiEUdyrmvuqM/a1xfwlHqH5z9pwfjxpVcVQUGGD8e+fYYpr0ajOX/xOvaUiMwGZiulWmDkvzgsIn9V2cw0VY6IkJiYSHKyEQrdarViNtd3hkp3rDj63RmGvf4j+DwCSyZvYMaeLAZP7kqxlOMEBsKpU7Bnj+F97uvr4aIajaZW462fxuiiVK2IyHYRWeYQGEqpqKJ0rZpahlIKq9VKXFwcCQnGFtWgQQm0aROHUlaX0OjXXgtTpwhT1EMMm92XSfeuKrWq8Pc3Vhq7d7uGK9FoNOcP3uo0xgAXeGhrVNSuqYXEx8eTkHA6d4avr2LQoAQuuyzeJcAhQJ8ExYH3vuaICuPpX/vwxu3rSgkHm82wrkpNpdR4jUZT+/FWaJSVjac+oL9X1mJKJlvy9VVccIHx8i/54u98wwVsm7yITBXMmCVXM+6WjaX6WCxgtRorjvK8x6WEgqTksUajqVl41GkopeKBXsWqHlJK9S/RzQZcC2yq/KlpqhNHgMM9ewzBYbOdbovtH8OOjxfSYkgPrv7jVf75z8+ZMQPq13cd7+9veI8XFBhtJRMBJiUlkZOT41zpOHQsOj+5RlNzKUsR3gMjux4YJrbu/DTygM3A45U8L00NwNcXmjRxLziaJ7Rgz5dLeGFEFLv+gBtvhP/+14hr5cBsPu0EmJ9veKA7lOdGHvMckpMNpXtCQoKLUl7nJ9doaiYet6dE5EURMYmICWN7qovjuFixishlIrL83E1Zcy5xCA6lSm9VXXBlM77+yUqn5kcZ/9dNDOufwvbtrn0cvhwnThgmuQUFjnpFQkICcXFxJCcnM27cOKfAKK5j0Wg0NQtv/TRMIrKyqiejqZn4+kLTpsbKoaTgaNQIvnxrH73Ni/jyQE8eGbCHVatKnyMgwIhzVdyyyiE4iqMFhkZTs6lwEialVEOlVNOSpSomp6k5OHQcZrPhj1Ec/86xnPhmPg19jvD9iV6MuHU/c+eWPofNZqw8UlMdodkNHUZxEhMTtTJco6nBeOunYVJKvaKUOgykAbvcFM15jo+PsVXl61tacJjjOpH59Twu8Elndu5VjLr/ANOmlT6Hw7IqNVX48cfTOozRo0c7t6q04NBoai7erjSeAB7FyKuhgFeA8RjCYgfwQJXMTlPjMJuNFYfFYqwWimOP60rWzNnUDzdjJZsXXoDRo0uHFvHxgZAQRUGBldjYOHr3TnDRcVitVr1FpdHUULwVGvcC44DXi46/F5ExQBtgH6C3p+oQZrMRKsTfH7KyXNvyu3bHvmY9T74Xg8XXzsyPs7jvvtICRino1i2e9u0T2LNHkZd3WsehzW01mpqLt0LjQuAPESkECjD8MxCRfOD/gPuqZnqamorJBFFRhkntiRMlghiazdx4I2y66jGSzFeR/OsJrr/esJ4qSWCgwm4/refQKwyNpmbjrdA4DliLft8PtCrW5gOEVuakNLUDk8lIGxsWZqw4Sqoh6t2awGWsYZGlH6mbs7j2Wli9uvR5rFZju2vPHiMboFZnaDQ1F2+FxlqgbdHvicCLSqnblFI3A68Ca6picpqaj1IQHm447mVmuubUyO1zHcc+nEnHgmR+Cx5A1qFT3HwzfPed6znCboon4p/xBAXBoUOnvcg1Gk3Nw1uh8X+Aw15mDJAOfA58BfgCwyp/apraglIQGmpsV2VluSq+c669kWPvfcalWb+xtPGt5OYKjz0G48eXVpA7sgFmZ+uAhxpNTcWrfBoisqDY7+lKqc5Ac8Af2FKk29DUcUJCDCX5vn3GlpMjp0b29bdBQQFNwiN4OUUxZgx8+CFs3QoffABhJc7j72+EHUlNhYgIqFevdNwqjUZTPXjrp3G3Usr5vy0G20XkTyBIKXV3lc1QU6sIDIToaMP7OyfndH32TXeRF9+He+6Bhf9eSMP6+SxeDNdcI2w82czZz+Gf4etrnOvAAb1dpdHUJLzdnpqOsbJwR7Oido0GMFYZ0dHG7yWdAH22beHKl3qz+bI7aBFzlNRURfeNk/g6oxciwooViaxenQQYivbgYL1dpdHUJCojn0YAhhmuRuPEz8+IV2WxuPpyFFzUhhPPv0nYwm+Y3/gmOrRfwym7jbu3jeahh1JZv34VeXk5Lh7h/v6GQ2BqKhw+rK2rNJrqpKx8Gh2Ay4pVDVBKxZboZgP+CWyrgrlpajk+PoYT4KFDcPSooeRWCk4OfRKVl0uz10fxXc/n+C6kLT8cv5E/Zl/E9u3DGDCgnpvEUMb5MjIMIRQVZQgmjUZzbilLET6Q02lcBRjlod9hYEhFLqqUegR4GojCSOD0hIj87qHvWDynk40QkYMVubbm3GIyQcOGxkv/wAFDT2E2Q9bj/zYEx7vjGMkCHlcTyRcfHvprCn373sUHH0CPHq7nclhX5eRASorhIxIcXC23pdHUWcranvo/DH3FhRjbUzcUHRcvjYCGIvKTtxdUSt0KTMCIX3UpsAyYW0ak3LcwhEvx8j8gSQuM2oHDJLdJE0PHkZdn1C+7uD0FPj4owFcK8CeHqepBfI+kc8cd8Prr7hXgVqsRMXf/fkhL00pyjeZcUlYSpuMikioiKRgCYnbRcfGSLhUPRzoSmCEiU0Vki4g8hhE592EP88gquk66iKRj+IVcCUyt4HU11UxgIMTEGA6AWVl2MjesosBsdunjJzlMbPYUNk7x3ntw882GcCiJ2WysMk6eNFYdJWNbaTSaqsHbJEypDl8MpZRFKfWIUuoDpdS/lVKNyhvvQCnlB3QE5pdomg908/I0Q4BjwCxvr6upOVgshoLc399EZngU5kK7aweluHHX5xwOuZBxgW+weWUmvXvDvHnuz+fvb+g29uwxtr9KOgxqNJrKRXlaKCilxgE3iki7YnUWIBloz2mLqkMYqWDLzalRJGD2AT1E5Ldi9aOBO0SklcfBRj8TkALMEpERHvo8CDwIEBER0XHmzJnlTcstWVlZBAYGntHY2sq5vudjx04QMX8eXSZPRpTC7uPDqvvuo7DxBbT5/gfq/bme69qtYc76WEDo338/Dz64A6vV7vZ8jhAmvr6nc5GXh/471w30PVeMnj17rhaRTm4bRcRtwdA1vFmibiRgB14DgoDOwF7gY0/nKTG+EYZS/coS9WOArV6Mv7ZofDtvrtexY0c5UxYvXnzGY2sr5/qeCwsLZeLEybL7ggtkf2SkvPnkk/L++5Nlz55C2bdPJH1lquzZIzJ2rMjPaoC8xUi5otk+SUwU2bfPfUlNFdmyRSQ9XaSgwPO17Xa7iJy+Z8dxXUB/tusGZ3PPGFHN3b5Xy/o+1hwomRf8egz9w79EJFOMvOFvAld5KcAygEIgskR9Q+CAF+MfBJaJyCYvr6epoYgI8+fP59ChdArNZnItFk4GBXH4cDrJyfMREQobN8VkggfuzuWyXiEMZwILdzUjpd9QPn9pp9utKB8fQ9eRmQm7dpXO9wGQlJTkkh1QitLOJiUlVe1NazTnAWUJjRCKvciL9BGdgcXi+G8zWI9h0VQuIpIHrAZ6l2jqjbGy8UjR1ta1aAX4eYFSCovFQmSk6/eHevUi8fGxuPppWCzw6WfsW/Q3y1rey2D7dEZMbsn/XfUzqanuz+/Qdezda1hY5RdFRxMRcnJynGllwchLnpycTE6Oq1OhRqMpTVlCYx8QU+w4DvCj9MvdF6iI7co7wD1KqfuVUm2UUhMwtq0mAyilXlVKLXQz7r6i63xdgWtpaigiwo4dO0hPTyc4OJjomBg6d47j2LF0du/eQW5u6Ze3b6sLabV4MrPf38Uk/6eZsi2eq6+GpLFJ+KxdVaq/Y9Vx6pSx6jh+HOB0Wtnk5GTS0tKcecoTEhJ0EiiNphzKEhq/A08opeop4z/pcQx9xuwS/S7F0Gt4hYh8hZFz/HlgHfAP4BoRcXxnjKJEnKui6w8BPheREtGMNLUdKfGbxWIotUvGrXLQ5YZG9Ep+lV7XBXHqFDSd+jwN+3cm4IY++C1LKhVnxGYzSnq6YWWVl2cIjuJogaHReEdZHuEvYmwlHQByMBTfk4u93B3cAyRV5KIiMgmY5KHtHjd1guErojlPUEoxZMgQ5s2bxweOypUr6dy5M3379sVuVxw8aKwOAgNLW0OFhhrh1fv2hdv+NZdbj3/EUyvfJvLmnuR27Ermc6+Q1y3e2d9sNrzJc3Nh505h69ZEl/MlJiZqwaHReEFZzn27gA7A68CnwGAReaR4nyI9w0J0lFvNGaCUom/fvi51ffv2RSmF2WyECYmKMlYcubnuzzFwIPycFMTmfk8RI7t4mEkc3pjG0Q1Fi9/cXBfnDT8/YdOmRP78M5mHv5pF39dfd25VFVeOazQa95RpzS4iu0VktIg8JiKfuWnfX9RWekNZoykHh9VScYq/uJUyEjtFRxu/u8tDDkZsq6lT4f8+tPJ16MNE5/5Nh9dvY/JksE2dQMPurfH/8mPIy0MpRUrKViwWf4KC6yN2aN26NzabP1u3btUrDY2mHLwNja7RVCoOgeFQQo8ePdrjN36HF3n9+oYpbb6bPJFKwXXXQVISDBjky6lcMy+9BKO+bM9J3xDqPXU/Ed2a4/+fCZhyTpGbe4qjB/bgc+okCz57i+zsU+TlFZCf795xUKPRGGihoakWlFJYrVYXqyWHVZPVai31jd9kggYNDOFRUOBZSR4WZqSQ/ewzIyz7hyn9CN2+incSEslt0px6Y57gll/m0H79eiJTUwjctZN7xj1P+/XradKkHSkpihMndM4OjcYTXuUI12iqgvj4eETEKSAcgqOsLSJ/fyPoYUaGkaPDkaCpJL16weLF8Oab8PHHiicT+/BmZB8mP72Ubpdkcd1912ESARFMdjvXzZ7NoRcmUmBVpKXBkSPGtpe/fxXdvEZTS9ErDU21UlJAeKNTMJshIgIuuMAIs+4pDWxAAIwdC3PnQocOhsnt9W9ewZi3gihQrtF17YB5906nlRXA7t2wb59nJbxGUxfRQkNTa3GEWvf3hxMnPOfViI2Fn36CV1+FkBDhu3UXYi8hCPzy8jg29jHIMFK0+PkZjoE5OYZj4IED7nUpGk1dQwsNTa3Gx8cwy3WsOjzpOsxmuPtu+O03aHr5IR7iI05h4wRB5JktbG3ZkuZ/rifkddcElTabsfJwxLI6ckSHX9fUbcrKEb6oAucREfE2aKFGU+kEBkKzZqd1HTabESK9JOHhihdeOMzGjc254aV5HM/2ZVdhM0Kw8NyIBfS7y8gxa97xNwCFzVuilLGasdvh8GGjNGhgrES8DcGu0ZwvlPWRN2HkzHCU1kA8RjwqW9HPeKAVp3NraDTVhkPX0bSpsRrw5NfRsWM8d9/dle8vGcPtF8yjMDySv/+uz31v38Kj4yLYtw9Cxj5Bw6vbE/juOKdSw2Qy9CQ2Gxw8aKw8Tpw4ncdDo6kLlOURHi8iPUWkJ0ZO73yMZEsXikhXEbkQ6FpUP+HcTFejKR+HhVVoqLGtlJPjvt/RWYtpPa0nS5bAo48Kfn7w3XfQvTuMj/mYzKsHEfzWGBr06YBf8u/OcSaTsbLx8zMi6KakoM10NXUGbxfXLwEvFOXPcCIiycBYYHwlz0ujOStMJggPN7asfHyMl7pDF7F6dRIrVpx2IAwMFHr2TOSDD1YwYIAhZF6eFsWFyTOZefccVHY24Td0xzrbNcOww9LKx8cQHrt2GUKqPOFRMlSJDl2iqU14KzQuwkjr6o6DQIvKmY5GU7lYLNCkCTRqZOwynTwp5ObmsHFjMitWGCFMVqxIZOPGZEJDj/Hhh8JPP8Hllxu6i9s+7Ud70yaSB4wnO74fAKaD6S6SwcfntPDYv7/sbSudAEpT2/FWaOwCHvLQ9hBG3m6NpkailKG0btYMQkIUsbEJtG4dx8aNyWRkpLFxYzKxsXF06WI4FnbsCN9/D//5D7RoAVv3BNDl51EkDPJn8exThA/sRugdfTGn7HC5TnHhkZ5+etvKITxKJoAqHkpFJ4DS1Ba89Qh/EfhcKbUR+BYjXHoEcBOGgvyOqpmeRlN5mM2Gl3dIiMLfP4GtW5OdbQ6B4UAp6NcPeveGr7+Gt9+GTZvg7gct7G3yJCNX/ouGV8WS+cRosoY+5WKq5eNj6DwKCoxtKx8fI7xJUNDpbIXJyckkJxvXj4yMxGKx6GCJmlqBVysNEZkJJADHgX8BE4t+HgMSihIrgyFl7wAAIABJREFUaTS1Aj8/YfNm1+i6y5e7D4vu4wO33w5LlsDo0VAv1Mxzex4lJnsLSf7XEvzav2nQ9zJMB9Lcjg0KMhTmBw/Cjh3C8eO5pKenu/RLT08nNzdXrzQ0tQKvrcxF5FcRuQLD3DYSsInIP0TEXWpWjaZGUjK6blRUFB06xLFpUzK//56I3e7+xW2zwUMPwfLl8PTTcDKkMb2OfMsAfuJ/Ge1Yuj3C6OhGkWE2GysPf39FmzZ9qFcvksHTpzN4upGGJjIykj59+uiVhqZWUGHXJBGxi8hBEdHW6ZpaR8nougDXXZfA5ZfHERRkJStLeYxlBcbL/4knYMUKePJJ+C14AL0zZnLTLSbu759OQJf2WH7+xq0JlVLCxo3zOXas9Epj/vz5eqWhqRV4HeVWKXUhcAvQFLCWaBYRGVKZE9Noqgp30XX79TN0Grm5hlf5iROG5ZXF4v4cwcEwciQMGQLTphlK8x1rj7MdKx2H3sLui6/Fd/IHSHSMc4xSCl9fC2FhkS7nqlcvkuxsC1lZioAA7WWuqdl49fFUSg0EtmL4Y1wP9HRTNJpag6fouhaLkYcjOtrYVjpxouxAhSEhMGKEsfK48V+tuCY0mRG8Q+ifSYRc0Y7tQ98iL/e0eW1+fi6HD6cTEBBMVFQMsbFxHDuWTn5+Lvv3Czt3GvGtdHBETU3F2+8044EkIEpEGolIsxLlwqqbokZz7rHZDP+OJk2MnaayouiCofAeNgyWrfQh7KUR9Gy4mV/lKvb+vIau3RSTJ0NWliIjI52wsEiCg0NBQVxcH8LCIjl6NJ2gIIXVaviH7Nxp+HxkZ2tPc03NwluhcSHwloh4cvDTaM47lDJiTUVHG6uPggLD47ss4WGz/X975x0eZZUu8N87M0kmlQQChF7EABpQAQm40kTKinh11UWx98JVcV3reu139brqyurqYm/YdbFLUUNTQ19AhdBLIEBCQhIyKTNz7h/n+5KZIQkDhCQM5/c83zOZ87XzTpLvnfe8Da6+Gj7K7szGv3/G48e/Tl4efProKr7rcyvfT+/H+vVllOzZiRTvZfm371NQkEdqahpKqer6VgkJOjN9y5aaZMHDra5rMtENDUG4Po3VQKsjORGDobkioi2JhARdBHH3bm0BxMbW3jUQdJjthX8Uzr8ghu++g4KHfuDGTc9zzref8sm3fyCRDYj4GXPTFbS58TY61JIn4nbrzevVyYIAycnan+IO9SoegKysLMrLy6ud/3YUmdvtZvjw4YfwqRiOVcK1NO4C7rOc4QbDMYmtPLp10z08bMujPv+Dw6ETBC9acAvZz/yISkjkNp4jhkqilJcor5dTpr6AL3dnndewkwXj4/X9Nm/W1sfevfVbPTahmeiAyUQ3HDLhWhoPoS2N30RkLbAnZL9SSg1ryIkZDM0VuyxJYmKN5VFerp3o0dF1n9dlwiCiukzFO+FMXN4aTVNWFcX3Qx6g4NxrGXp7fzp0dtZ6voi2bkAri52WnklM1BaI262P2f+84Ez09PR0cnJyTCa64ZAIV2n4gDVHciIGw9FG4LJVWZlWHiUlWnHUFqqrlCJ7zzbGEPzN3k05V1a+DB++zJ4PU/ilzRlEjxtFp9sv0PVHasG2PpTS9y4u1mMpKTVl2wPvW1FReyZ6ly5dgsKPDYYDEZbSUEoNP8LzMBiOWmyHeVyc9nUUFGjl4XIFf/sXEXJ9lWRdfClnTnsLRFBR0cy5YAI/Jo0mIVtotXQWZ+6aSafXP2HU16fR/8pWXJWxiNaeLVT87gxUcsp+97atD59P33v3bq20WrbUc3K5hNGjR7N582bGPP44sXFx5EyYYDLRDYdE2Ml9BoOhfuy2sHFxermqsFBbAA6HfrCLKFJT0/jxuK6c0iOdpCg3MyffyZLctfTJSGHQfWPIz7+IF95T/PTGGubs7Mns/4Nu8io3qKn4xUHVyadSOXQUFUNHUZk5JGg9yunUygu0nyXPquAeF6f4+uvXarU0XnvtNa655hqjOAxhE5bSEJGhBzpGKTX38KdjMEQGbrd2lqemaod1YSEoJQwYoKOXSitep7TCw5LctUFl2Vu3hltuFW6e1It582DaNLjt2+d4W13KaDWTs1bNot/yv+L6cBqVi3Rp9pgfvsXXsQveHr2qlUhUVE3h3fJyqKio3dltnOCGgyVcSyMLONBfV+3eO4PhGCYqSiuOlBTtNC8oEE48cUzQMaFl2UFbDcOH623Xrig++uh03njvdB7c+AgtKKLrjk04zxEuvEDx56cux7VnN752HamwrJCKIWfib9Ua0EtV7dt3orBwO06fj6iyMuJLStiXmEhaWif8fn0/gyEcwg25HQGcEbJdCLyJbsB09pGYnMEQKTiduuRI166KdevCK8tu06YNTJoE8+bpHuZnXZzMuviTWboU7r1POLEkm+cyprKl/SBivp1OyqSJJEz5X32y10vMvO+IRRibX0KH3FySt27ltilTGLOrhIoKNxs2CHl52qFeW7dBgyGQcB3hc+rY9amI/B0YD3zTYLMyGCIQpRQzZ85gyZJsTktKIjm5JX37ZrJiRTZVVTB48Biio+v2LYhAZqbeHnkEvv4aPvkE5s3rxq2rrudWriclycekMUs5rW8yGT5wL1tI6sWjOCs6BqoqEaVAKRx+PwNeeY4u196BPw727dP+FxEdfWUnEBoLxBBKQ9TT/Apd/TZsRORmEdkoIuUiskREhhzgeBGRySKyWkQqRGSHiDxxWLM2GBqZwLLsKS1b4nDAueeOYeDATFq2dANCSUl43/jj4uCCC+C992DRIrj/fjjhBCgsdvLYjFM567bjOfVUePDfJ/PzA1+xdUDmfuvLXhFWf/0eoIiNtXt+6Aiw3FxYvx62bTtw0UbDsUVDRE/1BMI2akVkAjAFuBmYb71+IyInKKW21HHa0+glsDuBlUALoN3hTNpgaAqqy7KPHQuAAGPH1vg0Kip0uK52nOt8i/oSBkE73G+6SW9r1uj+5p9/rjPHX3wzjhc5ixNansBS6U2MKq8+z6UUXbIXkPrV53jOuwTPuAsgOSWoRElFRU0Jk+hovcQWG6v9JAcTcBWaC2JyQ45ewo2euryW4WggA7gG+PQg7vkn4A2l1MvW+1tEZCxwE7qFbOi9ewK3AH2VUr8F7Fp2EPc0GI4K7B4eLVtqi2PPHq1EHI7wlot69oR77oG774b//AemT4cvv4Rfd3TlWl5iKjfgxYXb6WXZ9S9yfFoZjtenkHzX9bT4yyTKzzgLz4SrKB/zX0HzAZ2Fnp9PtePcTmw80LwC616JiKl7dZQj4YTciUhdlkQF8AFwm1JqbxjXiQbKgIuVUh8FjP8TyKitFImI3IVWTP9CKw8HMAe4Uym1q5bjrweuB2jbtm3/999//0DTqpXS0lISEhIO6dyjFSNz49zP7/eTlJRUPVZcXIzD4ahzHkrpB7XPV1Mm/WAaNfn9sHx5FAsWpLH1m1Lc3jI20o2dpJGYWMlpg/M5v9s8zsj7hI7zvqewT19W/uUBAFr8soq9vXrXqhUCl9BE9CEOx/4WSH5+PlVVVcTHx5OUlERxcTH79u0jKiqK1NTU8AU5DMzf9sExYsSIJUqpAbXtC3d5qlstY+VKqbqrrNVOKjo0N/S8ncCZdZzTHegCXARciQ79fQr4QkQGh7adVUq9BLwEMGDAAHWo32SysrKOuW9BRuYjS2h/8jFjxjBjxgyWLVtGZmYmw4YNq3fJRimdc1FSonM//H4d0nugpSKlFKWlMygvn80r6z7hP1V9+eeJjzBvXgF79rRixsz2zGACbvcEhg/xcfbpRZyW2ooOJatpc/sIfG3S8JxzEZ4/XEJV3/613qyqSi9lKVXTE12XM1F89923LFy4cL9zBg4ceECZGwrzt91whBs9tbmB7xtq3kgtYzYOIAa4TCmVAyAil6FrYZ0KZDfw3AyGI4KIVJcmz87OJjtb/+naCuRAD0+7ZEhsrM798Hi08igt1fvr8n+ICIMG6fuWvf46feOWcsopb3PppZm0ajWGb78VZs6E5cvh21lOvp3VCh6EU/t0ZdL4jxmTP422b71AwivP4u2ezp4XP8CbcXLQPQKTCf3+mnpYIKSnj8XjgX5/ugmAN6+6ioEDBzJ27Fjj1zgKOShHuIicDQwDWgIFwByl1FcHcYl8dPHDtJDxNuxvfdjsALy2wrBYC3jR/cqN0jAcNdiKw1YYQFgKIxS7WVN8vF628nigqKhuBSIiZGaOJrCS+qBBo3E4hJ494bbbtMN71iyYPRvmz4dFK91cufJ84Hy6pxTy54xPOLvsQ0oSu5EMuL/6BGdeLp5zJuBv3TZoboHOdK8XKiuD519erhWLCes9+gjXEZ4IfAkMQT+sC9Cl0u8QkXnA2Uqp0gNdRylVKSJLgFHARwG7RgGf1HHaAsAlIscppdZbY92tuTe0BWQwHFHsJapAZsyYcUiKwyZwOcjr1Q/jUAWyYsUPbNmSQ8FVV5Geng45OUyf/jKdO6czYMAIANLS4LLL9ObxaMUxezb88ANsyE3h5sJruZlrkd/BSSfB1PLPGbj6LZIeup2KIWfiOe8Syn9/HiohMUjeL798ld27cxkUMOcVKxaybVsuo0Zdg9stJCZqCyo6uu7GVobmQbi/nr8C/YDLgPeVUj4RcaL9DC9a+28N81rPAG+LyEK0QrgRaI92dCMijwMDlVIjreNnA0uB10RksjX2LNrCWBzmPQ2GJqcun4ZtdRyO4rBxuXRiXlKSViAeDxQW+tm4MYeiojxSUtJITW1HQUExBQU6lrZfv2E4QjzrsbG6edSoUdpPkZOjlUdWFmRn66WsTN7kBO7iCse7XJb9Lu3mXEHBW2/j+WyWdtT7fCgRSkuLAIgWB6nxLejocrPNW47HU0RCgsLvFwoLdWSWiJYhMVHnjNhKxKxiNR/CVRrnA/crpabZA0opHzBNRFLRnf3CUhpKqQ9EpBVwPzrXYhVwVoDfpB1wXMDxfmtZ7B/AXMADzAL+FOoENxiaM4HJfbaCsH0cbre7wdf37YdvYqKDjIx01qyB3bvzyM9PoqBAK5BOndL3Uxj7z1uH8vbsCTfeqC2Zn36CuXNh7twTuTvnf7nb+xin8SOyVLH6ZBjTP5+pP2ZQfMa5DM7sjWftBtI2bwLg8odW8cNFl1B+4RU4HA4cjmDrwufT/pA9Vqs3u3pvXFxNo6uDiR4zNCzhKo1WwK917PuVg+wfrpR6AXihjn1X1jK2A13rymA4qqlO7rMUhK04jrRDeOTIEYwYMYxHH320euyPf7yO0lJHdR5IdHSNM7s+4uJg5Ei9AezYAQsWCPPm/Y7586EgDxbMLOUzRnLu528z5PMyFIJYsS4Or5czP/6QXXc8UWtWsNNZ0yMEtGO9vFwvt1lVUHC7tSIJXNIy1kjjEK6+3kjdRQnPsvYbDIYwCFUQjRFBpOtezQwaW758Jt27K7p21dFYSulw3pIS/ZAOt2p6u3a6pMmUKbB4sbZAbny8Kx+Mn8aJrXbyIA/iDSmCXVbp4LV7vmfx4v2d5KE4HNrCiI/XfpvERK0g9u7VZU42boR163Tpk8JCbQmF0zvdcGiEa2lMBZ4WkQRgGjqiKQ3t07gWneVtMBiaIaG+FLfbTUpKSpAvJSZGSEnRD1v7W31Jif6WfzBWiAgcd5zeLr8cfL44pj3dDv9zjqBiQ7F+D9fPuJVXZ/yHe6KvI/HkHgwYAAMGQL9+0Lp1/fdxuYKXtJTSuSL5+cEJkLGxWtn4/Vo242Q/fMLN0/i7iLQGbkcn2IHOragAnlBKTTky0zMYDIdLqC9lzpw5dfpS7N7jCQnQtq1O2PN4tAKxo7GcTq1EwgmVdTodnHBGOnP3TGTkO2+iAJ/Txcz080jJL+aOXU9zd+WTzF44kqcX3sEL/B6Azp218jjlFL2deGJwGO/+Mu4fZuz36+ZTZWVCVRVs2KC7J8bFSXX9LDu/xCxthU+4IbctgEeAvwGD0Hkae4CflVKFR256BoOhITgUX4qIflC73bqJlM+nlYiduFdWVlM+pD4lMmDACPz9hpH7w2xcXi/TLrmEiyY/icPhID9vO/LGawx692Um9VhMsfP3/LKsEteWrUzfchzTp+trREVB795w8sl669sXjj++fsth2bIsKivLGTRojJXXovjppxm4XG4yMoYHlUGJialJnIyK2t+SMdRwwI9FRFzovIzzlFJfYPpmGAxHJYfrS3E6a3qgp6bq5Z6KCt2Lo7RUWyRK6YdtoBJRSpGdPZP+Tic+p5N9iYlkZ89k0KAx+NPawz33U3znvfSrrOSjWIj67DNa3/xHNvU4k3+3uYFXd5/Dr+uiWbECVqyAt97S13W7dTn4vn2hTx+9pafrh75SisrKclat0ktwSUlufv55Br/8kk1GRiaxscFVdr1ebU0VFdXIaycpBlolLpdJRjyg0lBKeUVkJzqT22AwGICab+Px8bq7YFWVdmqXlVHdF0QpxfLlM1izJpuh8UkkJbUkIyOz+mFe3eo2IGTKN+h0iu98lI7vvsztP17Ira3bsve6q8ga+gDLVseyfDmsXKlLvy9dqjeb6GitODIyhN69x+BwpLB48Q/07duFnJycoH7stckSiO0HKSrSVhbU1NaKjdUKJSam5txjxTIJV8x30A7vr4/gXAwGw1GM7R+Ij9eObF0+RNiwwU2vXgPZ8+kD7EHIQOH1KqKias9N8bdtR+nk+ym95V5ismYQN+0lErM+Z9ADf2XQCHD9ugLv8b3ZUxLFqlWwapVWIitX6kgqe0y7XTOBTFJTS2nZMpexY9PZtUvo1Qu6d6/fuW8HAOw3P79WkOXlwZWH7WU6W5kELnNFUl5JuEpjEzBRRBYBn6Gjp4IC8pRSrzXs1AwGw9GM/cCMiwOHQ+jRo+Zh63RK9ZJQ4LFBD3Gnk4qRZ1Ex8iy9DiYCHg+pFwxDxbhJnHA1rSdey9ChNUW4S0rg11/hl1/gl18UixYVs3lzHPn5CeTn9yQnoIJddLSO8kpP11vPntpP0rVr/VZDXcpEqeBlrsCQZbsasb3Zy1xHQqEc6YZX4SqNf1qvHYD+texXgFEaBoMhCKUU5eXlQeG9WVnat5CZmUm3boqqKqkO87UjtGzfiP1tvboTVHQ0hf94h/h3ppLwzydIeP5xKoaNpuSux6g6aQCJibqH+sCBip9/nkGvXtlc/8F0Nvu68NHZD7FoUTEeT092727D5s3Cb7/Bb78Fzzk6WlshPXpoJdKjh966d9cKsC5Egqv9Bj6s/X6orFSUlwt+f7BCseV0u2tCm53Omu1gnveBDa/sOTR0w6vD6adhMBgM9RJOOfjoaL2k1apVzdJPVZX2idj+ERuXy4l3+DgqzhyHI3crcR+8Rvy7r1Q7HZzbNoNS+Dp1ZePG1cTExJLSIomYsk1MntyHadOexuVaysSJk9m3D9au1S1yV6/WP+fk6CTB1av1Fkq7dto66d69ZuvWDTp1CraSlizJoqKinMGDtYwiiiVLZhAT46Z//+FB17R9J8XFNb6Tms9PKxXbQrEDDGpTKkop1q1bR25uLqDDqe38nA4dOjRY75Km6qdhMBiOEQ6mHLyd/R0To3NFIFiReDxakZSWgkrqxN7rHsR53f24oh24/NBiymPEvfcqFcNGc1yntqzq2oU9eVtJcDqZ+dZTVHjLcTgc+P1+4uMd1SG8gZSWwvr1WomsXavzO9atg02bdMmUHTt0BeBAXC7o2FErkC5dFCUlMURHb2fbtvmcffbpLF+uravWrTvQr1/ww7uu5S6o6dpo58sEOuTtc+1otagoqKrSO1bNnk3fxERWlZRAYiLhdGgNl4P294tI6AqcUg05I4PBEFEcbjn42hSJnQGuOwY68Xj0Q3Xndf9Di5T2JH38KudlzWBsTAzuigqUw8HlD93PV+PG4b30hnrvm5CgS7+fdFLwuNery5asX6+3DRu0433DBti+XSuVTZtAO+AHA4N57z24/XZITDyNlJTepKVVsG6dTl7s3FlbKGlpdYfx2oFl9YX5+nw1CjU5uRNtZ33DudOngwgjHA6+GD+euMzMA37O4VKn0hCRNOBV4AOl1FvWmBMIrRRTKiLph9D61WAwRDhHqhx8YAZ4fHzNuLdrZ7yDHqb80f+h7O13SJx8NQKI34/D7+e/PvsM//dZ+Nu0w9+6Lf7WbfGMu4Dy8ReC10vM999Uj/tS2walobtc2knetWtNsUYbjwe2btVKZONGRVbWb2zfHk3KpkLcvnLWlhzPlpIubNkCoZ1vXS697NWxo946dKh5bd9evwYWcAzC78fpEJxOwb17G92X/0z/zz/HYVV2dPj9jP/yS7InTmwwZ3h9lsbN6B4aF4SMC/AysN36eQK6J8bDDTIjg8EQMTRFOXiXC9xuF/7+x1MVE0NMeXn1fp/LRdXQkSjlQHbtxLlyOb7ep1JaCtH5u2h/1TlB1/MnJlF87xOUXXETjoLdJD7zML7UtkGKxXtcT2KTU6qjsJSCPn0243zvZc7dMB0lunTK65lXsSzjv4mOzmDrVmHrVsjd6mfnLti61UHF1p1EsZoKithDEVsoIpkipnAbjpRkro7/gEv3/YsUikj0FxFXWURM+V5+/rKA1ukptHnjeTJfeHK/z8TncJC/aBH+P/zhgGXww/qM69k3FnhZKeUJGVfAVKXUUgAR2Q1cjlEaBoOhFpqiHLzf7+ft+fOZGFLuVgEfDhnIZXfeiYgDnw8SvRDrhYqEVuz6Ihv/jp2wayfO/J24CnZS2qEXlR5w5+YR++93cewNrpxU+OybeC68nKjli0iZdDG+1Lac7q2k7X+W6G/8gNNbxTU/v0rR7nkkRbtxFBfhKC5CiveS+9kiNqb0w/3mdE599cb9ZPnUNYFVhcnsKPRSjI8tdKKIPpZKSeapcU5KgFPir+bkpF68WHwjMQELQk6fjx0NqKDrUxo9gQdqGQ+9c451rMFgMNRKY5eDFxEKoqL4Yvx4zps+HSWCcrn4Ytw4CqKirIim4EzuhIQYaD8QqIlo8nrBaZVLKT+xDxuX7MHnqcS1Z1e1Uqnq3RdVAY4oN5UnnYpz907iN6xBQly9focDta8YX+fj8KafiL9FMiopmah2qRzXARw3jiN/9HeoFsn4k/SmEpP4xuEiPx+2b7+EnO2XsH277ue+Y4f2paTkQeVOWLavJ8voSRUupnIDlUQT79rHF+PHs89yhh/p6Ck3ENT322rz2g7IDxgut441GAyGZoGI0K9fP8p69YK8PPbt3k3C3Lm4ly2jX1zcAR+edkRT7Rnh0Xi9HfH5OlpZ71Z0U48+lPztPXw+xfyPn+aKh+8lKsDSEaX4ctJkRl9+R+2Z8O07Utm+4/5zQZdpadNm/0gvG6V0L5Hvvstm+XI3N21/ga5KSOy7EtW2Lf379WuQpSmoX2nsAroDQcFltTi8uwG7G2Q2BoPB0IA4HA5YsIAlc+YwLC2tQR6cBwqR9XphbpvkaisHhwOf08kX48axLzGZ0tLghD2HQ292lNShTFEEUlIUHTsWUlT0K3SF9PR0cnISoayMysrKRrE05gOXAW8d4BqXAwsOeyYGg8HQQIRmogcmumVmZjZ4aQ0bnRUupKf3wNPpOsjLQzwenF9/Tezy5ZzojqVHD8Hno3qzCz3am9erlU/g9ERqFIv9Gjp9ESEqKoZWrdIoKMirHk9LSyMmJqZRfBr/AOaLyFPAPUqpII+SVTL9SWA4MKRBZmMwGAwNQGgmuv7WnRMUxdUoLFign+6WfyOcvAultDLx+4MVi70UZisZny9YcSilKCuroKAgj969M2nRwk1mpu7Q2KVLlyNvaSilfhKRu9CK4VIRmQVssXZ3BkYBqcC9SqmfDnsmBoPB0IAcTCZ6Q2JbOQsXLqyew4wZM1i4cGFYVo7toD8Qfn+NYtGvwsaNbvr2zSQzcwy//jqHkSMbPry53qkppZ4WkaXA3cD51Di8y4G5wJNKqe8bZCYGg8HQgBxuJvqhEk69rYbA9oUEKpixY2vCm3Nyjkx4czhNmH4AfrCywVuhQ27zlVKmKZPBYGiWhGaiu91uUlJSDjsTPVyaysqx713f+8MlbD+9UsqnlNqllNppFIbBYGjOhGaig35o2wqkMZaoarNyIqFM3zHSoNBgMBxrNEUmOhy5elvNBaM0DAZDxNLYmej2PRqz3lZjY5SGwWAwNDBNZeU0BhHU7txgMBiaD01h5TQGRmkYDAaDIWyM0jAYDAZD2BilYTAYDIawMUrDYDAYDGEjkZBsUhdWV8HNh3h6KsF9Q44FjMzHBkbmY4PDkbmLUqp1bTsiWmkcDiKyWCk1oKnn0ZgYmY8NjMzHBkdKZrM8ZTAYDIawMUrDYDAYDGFjlEbdvNTUE2gCjMzHBkbmY4MjIrPxaRgMBoMhbIylYTAYDIawMUrDYDAYDGFjlIbBYDAYwsYojRBE5GYR2Sgi5SKyRESGNPWcDhURGSoin4tIrogoEbkyZL+IyEMisl1EPCKSJSInhhwTIyLPiUi+iOyzrtexUQU5CETkXhFZJCLFIrJbRL4QkYyQYyJKbhGZJCIrLJmLReQnERkXsD+i5A1FRO6z/r6fDxiLOJkteVTIlhewv1FkNkojABGZAEwB/gqcAvwIfCMinZt0YodOArAKuA3w1LL/LuAO4BbgVGAXMEtEEgOOeRY4H7gYGAIkAV+K7hnfHBkOvACcBpwBeIHZItIy4JhIk3sbcDfQDxgAfA9MF5G+1v5Ik7caERkEXAesCNkVqTKvAdoFbH0C9jWOzEops1kbkA28HDK2Fni8qefWALKVAlcGvBdgB/CXgLFYoAS4wXrfAqgELgk4phPgB8Y0tUxhyp0A+IDxx5jce4AbIllea97r0V8OsoDnI/l3DDwErKpjX6PJbCwNCxGJBvoDM0N2zUR/a400ugFpBMirlPIAc6mRtz+mhFPKAAAISElEQVQQFXLMVuA3jp7PJBFtURda7yNabhFxishFaGX5I5Et70vAx0qp70PGI1nm7tZy80YReV9EulvjjSazURo1pAJOYGfI+E70LyPSsGWqT9409Lf00KJnR9NnMgVYDvxkvY9IuUWkj4iUAhXAv4DzlFIriVx5rwN6AP9Ty+6IlBm9EnIl8Hv0klwa8KOItKIRZTY9wvcnNNtRahmLJA5F3qPiMxGRZ4DTgdOVUr6Q3ZEm9xrgZCAZvWb9pogMD9gfMfKKSE+033GIUqqynkMjRmYApdQ3ge9F5GdgA3AF8LN9WMhpDS6zsTRqyEdr4VCN24b9tXckYEdd1CdvHtr6Sq3nmGaJiPwd7ew7Qym1IWBXRMqtlKpUSq1TSi1WSt2Ltq5uJzLlHYye6yoR8YqIFxgG3Gz9XGAdF0ky74dSqhT4BTieRvw9G6VhYX1jWQKMCtk1Cr02HGlsRP8RVcsrIm50RIUt7xKgKuSYjkBvmvFnIiJTgIlohbE6ZHfEyh2CA4ghMuWdjo4aOjlgWwy8b/2cQ+TJvB+WTL3QDvDG+z03dURAc9qACejogmutD3IKOuqoS1PP7RDlSaDmn6oMeMD6ubO1/26gGPgDkIH+p9sOJAZc40UgFzgTHYb8A/pbrLOp5atD5n9aMp2B/tZlbwkBx0SU3MAT1sOhK/ph+jg6Iub3kShvHZ9BFlb0VKTKDDyFtqi6AZnAl5aMXRpT5ib/IJrbBtwMbEI7FJcAQ5t6Tochy3D0WmXo9oa1X9BhfDuAcmAOkBFyDTfwHNrkLwO+ADo1tWz1yFybvAp4KOCYiJIbeAPdobICHZs/m4AQykiTt47PIFRpRJzMAUqg0nrwfwKc0Ngymyq3BoPBYAgb49MwGAwGQ9gYpWEwGAyGsDFKw2AwGAxhY5SGwWAwGMLGKA2DwWAwhI1RGgaDwWAIG6M0DM0WERksIh9aTWUqRaRARGaJyBV2/X8RudJqRtM14LxNIvJGyLXGi8hK0c21lIgki4hDRJ4VkR0i4heR6UdQlq5SSyOsWo6z5elxpOZyqIjIuSLyp1rGh1tzPrMp5mVoXEzBQkOzREQmA8+gGwrdjU5eSwFGo7Nai4DP6jj9PHRmrH0tFzANXSphEjo5qgS4AN2g6g50FdyC/a5kCORcdCbxM009EUPTYZSGodkhIkPRD6bnlVK3huz+zKpeG1/X+UqpZSFDHdB9NT5USs0NuE9v68dnlVL+Bph3jFKq4nCvYzA0Z8zylKE5cg+689xdte1USq1XSoW296wmcHlKRB5Cl4UBeNVaRskSkU3okgsAvsClIxFpJyJvWX2UK0T337405B72MtJQEflIRIrQ/Q4QkTgRecFaTisVkc+BBu09LSLXich/rOW2fBF5NaSlLdb8HhORW62mPSUiMkf27xvttI7bISJlIvK9iPSyzn/IOuYNdAnuDlLTn3pTyLTiROR5az67ReQdEUluSLkNTY+xNAzNCstXMRyYrpQqb4BLvoLuk/4R8BjwFXrpKga4Fd3UZrB17HoRiUfX7EkB7gO2ApcCb4tInFLqpZDrTwPeQy912f9PU9HFLx8GFqGrir7bALIAICJPoJfU/gHcibakHgMyROQ0Fdw75FJ0r43bgGjgb2hrrZdSymsd87Al69/Qdav6AZ+H3PZRoDW69/Q51lioVTUFXURvItATeBLdbuCKw5HX0LwwSsPQ3EhF9zbe3BAXU0ptE5Hl1tv1Sim7WQ0ikmsdEzj23+j+BCOUUlnW8Dci0hZ4TEReDXkof6yUuivg/J7oh+ZflFJPWMMzRSQBuPFw5bEc/ncCDyulHgkYzwHmA+PRpcNtqoCzlVJV1nGgFehAdNe3FGAy8C+l1N3WObNEpAp42r6IUmq9iOwGKgM/rxDmKqVusX6eaX0W14rIlcoUuYsYzPKUwRDMUCA3QGHYvIP+pn1CyPi/Q95nov+vPgwZf7+B5jfKuv40EXHZG3pprBg9/0Bm2QrDYqX12tl67YP2D30Uct7HhzC3r0Ler0RbdG0P4VqGZoqxNAzNjQLAA3Rpovu3RJeWDiUvYH8goce2s15r69XcELSxXtfVsb9VyPs9Ie/tJSW39WrPd1fIcYcy3wPdyxABGKVhaFYopbwikgWMaqJopD3o9fhQ7DaaoWG5ocsuthJpi+7fTMD7hsC+/2igsJ794WLPtw26daiNsQ4MtWKWpwzNkSfQ35j/VttOEekmIn2P0L3nAB1F5Hch4xPR38Z/O8D52eiueX8MGb+oYabHLOv6nZXuBx66bTzI660E9gEXhoyHvgdtOcQe/JQNkYSxNAzNDqXUXCvz+Bkrl+INYAs6omkkuh3vRKDOsNvD4A10pNGnIvIXYBtwCdqXcEOIE7y2ua8RkXeBR0TEQU301FkHOY+xIpIXMrZXKTVLRP4PeN5yNM9Bd2nrZN3nFaXUD+HeRClVKCLPAveJSAk10VPXWIcE5q/8CrQUkZvQPbnLlVIrMRxTGKVhaJYopZ4VkYXA7ejeyKnoLO7FwA3oNpVH4r77RGQYOlz0CXRS4BrgMqXUO2Fe5gZ0b/k/o8Ncv0crufkHMZXnahn7Bd2+8z4R+Q2d3T4JvUS2FfgOWHsQ97B5EN0q9Bp0GHI2OhR5AbA34LhXgEHAX4FkdIRb10O4n+EoxrR7NRgM+yEiF6IjwIYqpeY19XwMzQejNAyGYxwRyQTGoS2McqA/Oit/DXCaybEwBGKWpwwGQyk6v2MSkIR2+H8I3GsUhiEUY2kYDAaDIWxMyK3BYDAYwsYoDYPBYDCEjVEaBoPBYAgbozQMBoPBEDZGaRgMBoMhbP4fifOPRjtJdVAAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -79,7 +81,7 @@ ], "source": [ "lengths = [1, 20, 40, 60, 80, 100, 150, 200, 250, 300, 350, 400, 450, 500]\n", - "num_samples = 5\n", + "num_samples = 10\n", "seed = 1010\n", "\n", "# Run an RB experiment on qubit 0\n", @@ -107,23 +109,24 @@ "text/plain": [ "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: 6a3e0114-222a-49e0-87ed-fdc6cccf20a2\n", + "Experiment ID: 30e27585-6311-4da6-8b3e-7908fd0320b7\n", "Status: COMPLETE\n", "Circuits: 100\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.69804979 0.95967529 0.26128011]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01974724 0.00226682 0.00524554]\n", - "- pcov: [[ 3.89953410e-04 -1.53390386e-05 -1.52055454e-05]\n", - " [-1.53390386e-05 5.13845515e-06 -6.04156991e-06]\n", - " [-1.52055454e-05 -6.04156991e-06 2.75156573e-05]]\n", - "- reduced_chisq: 0.06491004634085058\n", + "- popt: [0.69765588 0.9647669 0.26493626]\n", + "- popt_keys: None\n", + "- popt_err: [3.04628480e-04 2.88150690e-05 9.45301854e-05]\n", + "- pcov: [[ 9.27985106e-08 -2.50866441e-09 -4.37601950e-09]\n", + " [-2.50866441e-09 8.30308199e-10 -1.76959681e-09]\n", + " [-4.37601950e-09 -1.76959681e-09 8.93595595e-09]]\n", + "- reduced_chisq: 193.60044947837932\n", "- dof: 7\n", "- xrange: [1.0, 200.0]\n", - "- EPC: 0.030243532778885363\n", - "- EPC_err: 0.0017715492726786291" + "- EPC: 0.02642482193432663\n", + "- EPC_err: 2.240054216973096e-05\n", + "- plabels: ['A', 'alpha', 'B']" ] }, "execution_count": 3, @@ -132,7 +135,7 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -148,7 +151,7 @@ "num_samples = 10\n", "seed = 1010\n", "\n", - "# Run an RB experiment on qubits 0,\n", + "# Run an RB experiment on qubits 0, 1\n", "exp2 = rb.RBExperiment([0, 1], lengths, num_samples=num_samples, seed=seed)\n", "expdata2 = exp2.run(backend)\n", "\n", @@ -160,20 +163,162 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Running parallel RB experiments" + "# Running 1-qubit Interleaved RB" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "---------------------------------------------------\n", + "Experiment: InterleavedRBExperiment\n", + "Experiment ID: 2bf05234-9ce5-411a-b3c5-e14575da2d24\n", + "Status: COMPLETE\n", + "Circuits: 280\n", + "Analysis Results: 1\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- popt: [0.47626118 0.99623266 0.99535996 0.51013026]\n", + "- popt_keys: None\n", + "- popt_err: [1.77332947e-04 2.66140415e-06 2.83096706e-06 1.79438603e-04]\n", + "- pcov: [[ 3.14469741e-08 4.28977668e-10 4.58298066e-10 -3.17868436e-08]\n", + " [ 4.28977668e-10 7.08307204e-12 6.39967732e-12 -4.36846717e-10]\n", + " [ 4.58298066e-10 6.39967732e-12 8.01437450e-12 -4.66354152e-10]\n", + " [-3.17868436e-08 -4.36846717e-10 -4.66354152e-10 3.21982123e-08]]\n", + "- reduced_chisq: 800.0272045289706\n", + "- dof: 24\n", + "- xrange: [1.0, 500.0]\n", + "- EPC: 0.00021900082002077048\n", + "- EPC_err: 1.9493171174852214e-06\n", + "- systematic_err: 0.0016646691935545965\n", + "- systematic_err_L: -0.001445668373533826\n", + "- systematic_err_R: 0.001883670013575367\n", + "- plabels: ['A', 'alpha', 'alpha_c', 'B']" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lengths = [1, 20, 40, 60, 80, 100, 150, 200, 250, 300, 350, 400, 450, 500]\n", + "num_samples = 10\n", + "seed = 1010\n", + "\n", + "# Run an RB experiment on qubit 0\n", + "int_exp1 = rb.InterleavedRBExperiment(circuits.XGate(), [0], lengths, num_samples=num_samples, seed=seed)\n", + "int_expdata1 = int_exp1.run(backend)\n", + "\n", + "# View result data\n", + "int_expdata1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Running 2-qubit Interleaved RB" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "---------------------------------------------------\n", + "Experiment: InterleavedRBExperiment\n", + "Experiment ID: 2bf05234-9ce5-411a-b3c5-e14575da2d24\n", + "Status: COMPLETE\n", + "Circuits: 280\n", + "Analysis Results: 1\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- popt: [0.47626118 0.99623266 0.99535996 0.51013026]\n", + "- popt_keys: None\n", + "- popt_err: [1.77332947e-04 2.66140415e-06 2.83096706e-06 1.79438603e-04]\n", + "- pcov: [[ 3.14469741e-08 4.28977668e-10 4.58298066e-10 -3.17868436e-08]\n", + " [ 4.28977668e-10 7.08307204e-12 6.39967732e-12 -4.36846717e-10]\n", + " [ 4.58298066e-10 6.39967732e-12 8.01437450e-12 -4.66354152e-10]\n", + " [-3.17868436e-08 -4.36846717e-10 -4.66354152e-10 3.21982123e-08]]\n", + "- reduced_chisq: 800.0272045289706\n", + "- dof: 24\n", + "- xrange: [1.0, 500.0]\n", + "- EPC: 0.00021900082002077048\n", + "- EPC_err: 1.9493171174852214e-06\n", + "- systematic_err: 0.0016646691935545965\n", + "- systematic_err_L: -0.001445668373533826\n", + "- systematic_err_R: 0.001883670013575367\n", + "- plabels: ['A', 'alpha', 'alpha_c', 'B']" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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LxU1JB2HaBTQDvgSOAUkuKTH7pmWTxo2hPatpxxouO7KQ8+dLWiJDfnAn0FJOzJ8/n379+tG9e3fWrVvH4sWL6dq1a9ov9xEjRmRY68pPMCJ3AyclJydzxx138Morr6TtfpuehIQERCTDeXx8fPDw8MgxANP58+e56KKLcumJgrFq1apMwZZ69uzJ2rVrSUpKyrZNbn25atUqGjduTO3atTOcNyEhgXXr1qXV6dy5M76+vhnqHD58mMjIyMK6xQqDuwvhb2Dt01JhaNwYmrGNAGKI4A+WLVX69DXTVGWJ1EBLX331FW3btgXgtttu48svv+TNN9906xxvvvkmt9xyCyNHjkzLa968edr3qlWr0qhRo7Tj/AQjSh84qVmzZoSEhDB16lRWrVpFgwYN0uoNHz6cKlWq8Mgjj2R5ng4dOhAQEMCwYcN49913AXjhhRdISUnJNgDTgQMHeP/993nppZdy7Ie3336bt99+O+04VUGlX1P59ddf6dy5c5btjx49yjXXXJMhr0aNGiQnJ3Py5Mksd+l1py+PHj2aaftz1y3Xjx49Sq1atTJdO7Uspy3jDZlxS2mo6ogilqPUUasW/ONzOcRDDU6w7afd9Ol7SUmLZcgD7gZayokNGzbkuCg6ZMgQhgwZkiEvP8GIcguctHTpUiZPnpwhUJIr1apV44cffuCRRx5h/PjxeHh4cMcdd9CqVau0QE/pOXbsGD179qR79+489VTOhpEPP/wwt912W9rx888/T82aNRk6dGhaXs2aNXM8R1aBlLLKz6lNajtXRZJb2/xc25A1ed5GREQCgIuA06oaU/gilQ5EIOHSFpZXCiBLlwBGaZQl8htoqSCkD0aU+kJSzTkYEVwInBQTE8P58+cJDQ2lf//+ab+CFy9ezJEjRzL8Ik9JSeH5559nzJgxHDp0CLDia+/Zs4eTJ0/i6elJ5cqVCQkJyfRr+ujRo1x99dU0a9aMr7/+OteXZ3BwMMHBwWnHgYGBBAcHZxgJ5dYvWQVS8vT0pEqVKtm2ya0vQ0JCWLFiRYZ2rmFks7s2ZA4ja8gdt7cREZGeIrIWOAtEAudEZI2IdC8i2UqcsGbB7KcO+6nN3wdqkFBuXRrLJ/kNtJSeli1b8vvvv7t9zfwEI0pPdoGTHn30UTZv3szGjRvTUlhYGE899VSW8lWtWpXKlSvzxx9/cPz4ca6//vq0siNHjhAREUHjxo2ZOnUqnp5FvwVdx44d+e233zLkLVq0iDZt2uDl5ZVtm9z6smPHjuzYsSNNaaae19vbm9atW6fVWb58OfHx8RnqhIWFpUVNNOSB7FbI0yegJ5AM7ASGAw8BI4AdWAvh3d05T3GnggZheust1VncoPO9eiuompAa2VNarafcCbSUE3PnzlUPDw99+eWXddu2bbp161b98MMPNSYmRlVVP/74Y23UqFGGNvkJRpSfwEmu1lOqql988YWuXLlS//33X/366681ODhYn3766bTy//77Txs2bKhdu3bVAwcOZAiylD5gkStRUVG5BmlKSEjItv3evXvVz89Pn3jiCd2+fbtOnDhRvby8dMaMGWl1Zs2apY0aNdJDhw653ZfJycnarFkzveqqq3T9+vW6aNEiDQsL0yFDhqTVOXv2rNaoUUP79++vW7Zs0ZkzZ2pgYKC+//77GWRMDcrUuXNn7du3r27YsEG3bduW7T2lx51nsbgp0SBMwCpgHi6mtVgjlXnASnfOU9ypoEpj1ixVIUVr1lQN4qyOeLbgEb7KK6VVabgTaCk3Zs+era1atVK73a5VqlTRvn37ppncDh8+PJMc+QlGlJ/ASVkpjeeff15r1KihXl5e2rBhQ/3ggw8ymJV++eWX2QZZ2rdvX7bXSr3PnFJuz8CSJUu0ZcuWarfbNTw8XD/99NMM5amypZfDnb7cv3+/9u7dW319fTU4OFiHDBmi8fHxGeps3rxZO3furN7e3hoSEqIjRozIZG6b1T2lD6SVExVJabgVhElEYoFbVXVuFmV9gO9VtdQFnMhrEKZUUoOX7NxpWVG1qryXNWcbMrrhRF7YdX8RSFr2MUGYDBWZ0vgslnQQpgQgKJuyQMrpBoYXXwzBtnOMPPsY0fhTa+9SsjEpNxgMhgqBu0pjCfCmiGQwwRCROlhrG4sLV6zSgZcXVG8QRCdWctazGp1TlrB6dUlLZShMmjZtSkBAQJbp22+/LWnxDIZSh7tmE88DK4B/RGQ1cAQIATpgWVM9XyTSlQIaNxE2/dOCBp6HCEs+wMwfIuncObykxTIUEvPmzcvWI9mYYxoMmXHXuW+XiDQHngE6A62A08BY4P9UNWt303JA48aw8cfLaZ9orY0kLFwKhJeoTIbCw52tRAwGwwXcNtB2KoZni1CWUknjxvAHl+PtiOM1RvD9/gieTbKmrgwGg6GiYWKE50KTJrCWNqz2jWBj3Rv4J74ua9aUtFSG7Lj33nsRkUypQ4cOaXXCw8PT8v38/GjWrBmff/55hvMkJiYyevRoWrZsib+/P8HBwXTo0IHPP/+chDx6eZZUHInt27dz1VVXUaNGjbRrv/TSSxnqzJo1ix49elCtWjUCAwNp3749c+bMydP95QdVZcSIEYSFheHr60tERATbtm3LtZ07fTlz5kyaNGmCt7c3TZo04ccff8xUZ/z48dSrVw8fHx9at27N8uXLM5TPmjWLnj17pu19tWTJknzfa7kjO1tc4A/g0nTfc0q/Z3eekkwF9dNQVY2NVfXwULXZVB+984zewbf63rPH8nXe8kxp8dMYOHCgXnPNNZkcz06dOpVWp27duvraa6/pkSNHdPfu3fryyy8roNOmTVNV1YSEBI2IiNBKlSrp2LFjdf369bp3716dPn26tm/fPk/3murUNmTIEN2+fbtOmDBBPT09Mzi1ZUWvXr20SZMmumLFCl25cqU2adIkS6e2rl276rp163ThwoUaGhqawalt9+7d+uWXX+rGjRs1MjJSZ8+erdWrV9dhw4al1Rk6dKi+8847+tdff+nu3bt1xIgR6uHhocuWLXP7HlU1Vz8PV0aNGqUBAQE6Y8YM3bJli956660aGhqq58+fz7aNO325cuVKtdlsOnLkSN2+fbuOHDlSbTabrl69Oq3OtGnT1NPTUydMmKDbt2/XIUOGqL+/v+7fvz+tzpQpU3TEiBE6ZcoUt3xQsnoWS5pid+7DsohKVRpLnMfZpuzOU5KpMJSGqmqjRlZPTXh4rSroyMbf5Ou85ZnSpDR69+6dY7usnOIaNmyot99+u6qqvvvuuyoi+vfff2dqm5KSkhanwR1KMo5EVjz11FM5XltVtW3bthm8yN0hL0rD4XBoSEiIjhw5Mi0vNjZWAwIC9LPPPsu2nTt9edttt+k111yToU63bt3S/raqqu3atdNBgwZlqNOgQQN94YUXMl3zxIkTRmm4pGynp1T1KlXd6fwe4TzONhV8zFN6uewyGMnL3Dr9Vs5QmdBdS0ksdxFEKjY+Pj5pVlTffvst11xzDW3aZPZt8vDwICjIclmaPHkyIpJjTIaSjCPhyr///sv8+fPp2rVrtvKCFXq2KONr7Nu3j6NHj2boF19fX7p06ZJtzBFwry+zq5N63sTERNatW5epTo8ePXK8tuECbq1piMg9IpLlVpQiEiwi9xSuWKWL5s3hFFWofGYf2/zbcWXKElw21jSUIubPn5/J5+L557O2Ck9OTmby5Mls2bKFbt26AbB79+4sgxy5UqlSJRo1apTthnuQdbyH9HEksmtTGHEkUunUqRM+Pj40bNiQK6+8MkNcDFfGjRvHoUOHcg1P6+rf4prXtGnTbNumypdVv2QXcyS1XW59mV2d1PO67oDr7rUNF3DXeupLoCNwKouyes7yKYUlVGnjssvgY2eIdKkXziVbFzL9hyNcdVXmwDGGkqdLly5MmDAhQ17lypUzHL/88suMGDGChIQE7HY7w4YN46GHHgIuxFrIjRtvvJEbb7wx13olGUcCYPr06URFRbFp06a0AE0vvvhipnYzZ85k2LBhTJs2LVdTZFf/loYNGzJv3ry0mBo5KdLs5HS9P3fbuOa7c978XNtg4a7SyKk3/bF2wC23XHYZbHIqjdBwH9gK5xeuBnJ/YRiKHz8/v1zjPDz99NM88MAD+Pn5ERoamuGFcckll7Bjx45CkaUk40ikkjqF1aRJE1JSUhg0aBDDhg3LsCX6zJkzGTBgAFOmTMmwjXp2ZKVU6tat69ZW4yEhIYA1Kkg/vXb8+PEcHSrd6cvs6qSeN7vRWG7XNlwg2+kpEblcRO4XkdQd+vqmHqdLjwFvAbuzO095oF49iPevykFqUc3jFPU9Ivm/yBtN3PAyTJUqVWjQoAFhYWGZfmHeeeed/Pbbb2S12aXD4eB8Hv7wJRlHIiscDkdaTPJUvv/+e+6++24mT57MLbfc4va95Zd69eoREhLCokWL0vLi4+NZvnx5jjFH3OnLjh07Zjhvap3U89rtdlq3bp1jHUMuZLdCjhU3w+FMKem+u6YTwPXZnackU2FZT6mqtm+v+gyjdfMzk7VTJ8uaKheryQpFabKeysrk9vjx42l1srKeSk98fLx26dJFK1eurGPHjtUNGzbo3r17debMmdqxY8d0W+dnjv/gSknGkZgyZYp+//33umPHDt2zZ49Onz5dw8LCtH///ml1pk6dqp6enjpmzJhsTZSz4vjx4znG1kjf31kxatQoDQwM1JkzZ+qWLVu0f//+mUxuBwwYoAMGDMhTX65YsUJtNpu+/fbbumPHDn377bfV09Mzk8mtl5eXTpw4Ubdv365Dhw5Vf39/jYyMTKtz6tQp3bBhgy5evFgBnThxom7YsEGPHDmS5f1k9SyWNCVhclsJqIu1Z4YDuMF5nD6FgLW9emlMhak0Bg2yeuudd1THP7hep9Jfn7rzaL7OXx4pTUqDLOIi1KxZM61ObkpD1VIco0aN0ubNm6uPj49WrlxZ27dvr5999llasKGs4j9kRUnFkfjuu++0ZcuWGhAQoP7+/tqkSRN96623NDY2Nq1O165ds+yvrl275nhPdevWzTG2Rm5xKBwOhw4fPlxDQkLU29tbu3Tpolu2bMlQp2vXrpnkyK0vVVV/+OEHbdSokXp5eemll16qM2fOzFRn3LhxWrduXbXb7dqqVStdunRphvLs4o5kF4OlIikNd+Np1AWOqGqZMjQtaDyN9Hz0ETzxhPLIDUd5pMs2Lnu6O0+Efs/Yw7cWkrRlGxNPw1CRKY3PYonG01DV/YWpMETkURHZJyLxIrJORDrnUr+niKwSkSgROSkis0XkksKSxx0uuwzqs5fxP4XR2Hsv0fjT8MhS/vuvOKUwGAyGksXtvadEZLCIbBCRWBFJcU15OE9/rN1x3wZaAiuBX52xObKqXw+YDSx31r8G8MUKM1tsXHYZ7KMeUQRg276Ff6peQVeW8uuvxSmFwWAwlCxuO/cBHwN/Az5YfhnfAOeBPcAbebjm08BkVZ2oqjtU9XGs+ByPZFO/NeAFvKiq/6rqRuAd4GIRqZqH6xaIqlUhJNSDTbQgfvVG4tp15TK2snJO1g5aBoPBUB5xd6TxJNaLOvXFPl5VBwL1gTiydvrLhIjYsZTAQpeihUB29m5rgSRgkIjYRCQQGAj8rarF+sa+7DLYyOV4bt9EaP+ubKQF+1YcppRNZRoMBkOR4a7SaAgs44KZrR1AVc9g+Wk84eZ5qgI24JhL/jEsS6xMqGok0B14HSsW+TngMqCPm9csNFKVhldcFPWvCOW60I0sOd2cDRuKWxKDwWAoGdz1CI8DPFRVReQo1ggjNVp2NBCWx+u6/jaXLPKsApEQYBLWNiVTgUCs6bDvReRqVXW41B8MDAZrP5n87IMfHR2dZTtPzxosojtvNhrHVTu206KFL8eOVGf8+P3cffeBPF+nPJFdnxkMFYXS9vwX2f9kdra46RPwO/Cw8/tUYCvWXlRtgTXAOjfPY8facuRWl/xxwNJs2rwJbHDJq4WlZK7M6XqF6aehqrp+veWrUa+edbxq6Ld6hkravXXOjlAVgZLw08jNV8Akk4or5eaXUhIU+9boLkwAUvdKfhUIAP7EGm1cghU7PFfUMttdhzXdlJ7uWFZUWeGH5ZGentTjYo082LSpFebVd982Yn5cSNMetajMOfw3LOfcueKUxAAQGRlZ4g6k+U2LFy8ucRnKWirNfZbT9vjlDXf9NKar6jvO7/8CTYGeWDv2NVDVJXm45ofAvSIySEQai8hYrOmtzwBE5B0R+T1d/blAKxEZLiINRaQVlvXWQSwFVGzY7da6xku8je2hQQR2a0eCeNPZsZR5xWoAbDAYDCVDvn6pq2qMqv6mqnM0jxZMqjodyxrrFWAjcCVwnarud1YJBS5OV/8P4E6gH7ABWIBlTdVLVWPyI39BaNXKWgz3OXEQYmM5Gt6Brizll1+KWxKDwWAofrJdCM/O2S47VNXtlWBVHQ+Mz6bs3izypgHT8iJPUdGqFczicutg0ya8u3fl8gkj+fu3c6hWwmzJbzAYyjM5WU9FYi3yuIutYKKUDVq3huHO2Bps3EiNwf0Y851y+ngSGzdCy5YlKp7BYDAUKTkpjfvJm9KoEFx2GZy2Vee/lDCqr92I11NPseXWVpz6EmbPNkrDYDCUb7JVGqo6uRjlKDP4+kKTJtB7y1zG316bTkCfq2LY9uVWFixoz4gRJS2hwWAwFB3FarJaXmjdGjZxOSt2WiEmr9s8ihVcwc6/ozh7tmRlMxgMhqLE3Q0Lv8glTSpqQUsTrVpBKIepM2Uk7NmDT8+ueJJC+5QVzJ5d0tIZDAZD0eHuNiJXk3l9IxhrS4+zzlRhaNUKAoim/9ZXYVlNuO02Ujw86epYyo8/9mLgwJKW0GAwGIoGd537wlW1nkuqBEQAR4Gbi1LI0kaLFrCXi4nGn+R1m8Dfn6QWbenKUhYvhsQyFd/QYDAY3KdAaxqqugz4P6xYGxWGgAC4pLGNzTQnduVGAHx6dqUtf5N8PobFi0tWPoPBYCgqCmMhfC9WRL0KRapnuPeOjaCKDhrEhHtXEY8PM2eCqrFWNhgM5Y8CKQ0R8QTuBQ4VijRliFSlIUkJrJw5kwW7d9P+5pq0Yw3r5h5h/vwFpW6rZIPBYCgo7lpP/ZFF+hM4jLUv1PtFKmUppFUrmMI9tG98nvMBAcROmEDLG+uymKtZfvhijr0/jfj4eDPiMBgM5Qp3rac8yGw9FQXMAqblcZfbckGrVpAoPmz7B7o2aoF97lxsyUnYSALgjqXTsX/zDmI2ozIYDOUIt5SGqkYUsRxljqAgyzO837a3OP/wP1T38clgNpWo3nhHRkJoaMkJaTAYDIWM8QgvAB06QDO24rt6MY74+AxlNkcih7zCS0Ywg8FgKCLcVhrOAEhficguEYlxfk4WkQZFKWBppkMHazE86Pwh5nXvTordjtrtKPA07/PGhLNmTcNgMJQr3F0IjwA2AX2wQryOd372BbaISNcikq9Uk6o0AGp06YJHZCQyYQJxlWqwiZasWBFq1jQMBkO5wt2F8A+woub1VNXo1EwRCQQWOsvbFL54pZvGjWG33+UQC5fEeSGhoXDPPSRffzcbQj1I3CEcPgxhYSUtqcFgMBQO7k5PNQHeTa8wAFQ1CngXK2Z4hcNmg3odarCGtuzd6+xKEYIusnFt9xT8NJrp00tWRoPBYChM3FUahwB7NmV24L/CEafs0aEDtGcNkys9cSEzPp5vVtbnRd5h5sySk81gMBgKG3eVxrvA6yJSM32m83g48HZhC1ZW6NDB+ly7Nl2mjw/2Vs0YwNesXungxIkSEc1gMBgKHXeVRlesbdD3iMgSEZkuIkuAPUAAECEiU5zpqyKStVTSvj1cyXK+W13P2vHWidcD91CHg3TRJWaKymAwlBvcVRpXAinAEaAu0M75eQRwAJ1dUoWhenXwqVWNcI3k4C8bLxT060eibxAD+YoZM0pMPIPBYChU3I2n4RpLI6dUv6iFLm3UuLIhsfhy5o+NFzJ9fXHcfBs3M5MNy6M5darExDMYDIZCw3iEFwLtO1mxNbx3bMyQ7/PiU7zV+keiHb58+23JyGYwGAyFSV48wv1EZIiI/CAiv4vI9yLyqIj4FaWAZYFUJ79apzZCeg/wJk1oPLQ7Dmx8912JiWcwGAyFhrse4SHAeuAjLCc+P6At8AmwTkRqFJmEZYAWLeAPr15857idEwfiMpTd2O4/PrQN47+/DnLgQAkJaDAYDIWEuyON94CLgM7OdYuOqloPa4G8MpZJboXFbocTV9zAo3zKH6szDrwC7Qk8lfI+d/MNU6aUkIAGg8FQSLirNK4FXlTVFekzVXUl8ArQu7AFK2t07qx4kMJf888A6cK91q/PySaduYcpTJ9mNi80GAxlG3eVRgBWlL6sOOQsr7AsWbIEX9+/2cxl3PH9DeiRIyxYcCHca6Uh99CYnfhu+5tt20pWVoPBYCgI7iqNf4AB2ZTdDewsHHHKHqpKfHw8DVaNphG7aBW7nJTwcGInTEgL9+p1560k2ny4hyl8VaFcHw0GQ3nDXaXxPnCHiPwmIveLyLUicp+ILMCKET666EQs3YgIPVu04KYFc/AkBRuKZ2Ii/ebOpWeLFtbW6JUqcaLHXTjw4PvvMxpYGQwGQ1nC3XCv3zhNa98A/peu6BjwsKpWaINSiYzEwyXcq4evL5Iu3GvIz/9jVG04sh9WrIArrywhYQ0Gg6EAuO2noaoTgDCsbdA7Oz9rqurEIpKtzKDh4ZnCvTri4tDw8LRjmw3uugtqc4D//Q+DwWAok+SoNETkXhHZKCLRInIIaxpqj6quUNUdquooHjFLL6rKgk2bmN27N8l2O7H4Eo83s3r2ZcGmTRnCvT6j77OHi1k28wRxcTmc1GAwGEop2SoNEbkD+ALLkW8u1uaET1GBt0HPChHBx8cHv8GDsUVG8kjD3wknkj2dhuHj45Mh3GvIwJ54kUzv6Gn88EMJCm0wGAz5JKeRxpPAj0BjVe2vqm2B14HHRMRWHMKVFSIiIujZsycSGkrlazvSiH+osf4UERERGStedhknal3OQL7iiy9KRFSDwWAoEDkpjUuAiaqaki5vPOAN1ClSqcogqSOKLl3gDV7jynkvZVnP75GBtGEdJ5duM9uKGAyGMkdOSqMScNolL/X4oqIRp+zTuTP8TF8axmwicff+TOX+D9xBiti4i2+YNKkEBDQYDIYCkJv1lIeIpCXAllW+s8yAFZRp+8XXA7Dv458zV6hRg3Vv/srbvMSUKcZnw2AwlC1ye9mvAJLSpVSbn79c8hOzbF1Badj7EnbSCObMybK89QvdCQoLJDISli4tXtkMBoOhIOTk3Pd6sUlRzujeHeZ8dD33/zfFcviz2zOU22zwcYuJbDl8iHHjXsd1vdxgMBhKK9kqDVU1SiOfdO0K99he4ZWUtzke60lle+Y611y0nl58RZ05z3LqVCBVqhS/nAaDwZBXzFpEERAYCM06BZGknsyfn3WdoCH34EccfRNnMLHC+9QbDIayglEaRUT37tCfabQb0haSkjJX6NCB6NCG3MMUJk40C+IGg6FsYJRGEdG9OyRip/6ptdYOha6I4PvwPVzFElL2RvL778Uvo8FgMOQVozSKiDZt4K+gHiRg59zXWVtR2QYOYG/41VTiHJ98UswCGgwGQz4wSqOI8PSE9t0C+J1u6Jw5Wc8/1a2L17Lf2erRgnnz4Nix4pfTYDAY8oJRGkXINdfAHK6n8sk9sGNHlnVq14a7rjlG9aRDjB9fzAIaDAZDHnFbaYhITRH5UETWisheEWnmzH9SRNrn5aIi8qiI7BOReBFZJyKdc6kvzuvsFJEEETkiIqPycs2SoHt3a0uRH7zuJCUlm0oJCUz68xJeYSSff571mrnBYDCUFtxSGiLSFNiCFSf8MFAXSPU+qAs84e4FRaQ/MBZri/WWwErgVxHJaRPED4BHgeeBxsB1wDJ3r1lSNGgA9vCa3Jb0LX9FNcm6krc3njddzx0e0zl7LJ5p04pXRoPBYMgL7o40PgB2APWAmwBJV7YS6JCHaz4NTFbVic5ATo9jxep4JKvKItIIeBzop6qzVXWvqm5Q1Xl5uGaJIAK9ewMoyyfuhLNns653zz1UcpylLz8zZoyVp8YG12AwlELcVRpXAqNUNRpwfZsdA0LcOYmI2IHWwEKXooVAp2ya9QP2Ar2c02KRIvKViFR3U/YSpW9faMo2np/cGGbNyrLOEg8P4qpU5RHbBOzrV7H2lyMsWLCAJUuWFK+wBoPBkAs57T2VnpzCulblwkaGuVEVa6dcVzuhY8A12bSpjzUFdjtwL5bSeh/4WUQ6uoacFZHBwGCAGjVq5OvFGx0dXWgvbBEP9nh34kBCbWyfTmZ3/fqZ6pyPieFU7Vpcdeo35rMG736JbHjoPk706lVmFEdh9llFwPRX3jF9ljeKrL9UNdcE/AbMcn63YSmRVs7jacAcN88ThvXS7+ySPxzYmU2bCc42l6TLu8SZ1z6n67Vu3Vrzw+LFi/PVLjtuuEH1Yx7TRC9f1djYTOWOw4c12W5XtQxzVUGT7N7qOHy4UOUoSgq7z8o7pr/yjumzvFGQ/gLWajbvVXenp94E+orIQqzFcAWuEZGvgBuBt9w8z0kghczTWdXJPPpI5QiQrKq70uXtBpIpIxEE+/a1TG+9kuLIyvVbIiPx8PHJkJeEDxIZWUwSGgwGg3u4pTRUdSlwA9ZC+BdYC+GjgM7ADar6l5vnSQTWAd1dirpjLahnxQrAU0QuTpdXH2tqLXNovFLIddfBUrpynkCSZmb2DtfwcBzx8RnzEhM5XyW8mCQ0GAwG93DbT0NV56pqQ6ypoSuBxqpaX1V/zeM1PwTuFZFBItJYRMZiTVt9BiAi74hI+p/jvwHrgS9EpKWItMRSXH8Ba/N47RIhJAQub+fNtfzKr1e9l6FMVVmwaROze/cmxW5HvbxQ4GXe5Kl3zxkrKoPBUKpw10/jNREJA1DVf1V1par+4ywLFZHX3L2gqk4HngReATZiKaDrVDV11BAKXJyuvgPoAxzH8s1YABzCMsHNaYG+VNGnD6zkCn5YVDlDvojg4+OD3+DBeERGIjNm4PDyoS3rmD27HklJkvUJDQaDoQRwd6QxHKiVTVmYs9xtVHW8qoarqreqtlbVZenK7lXVcJf6R1T1VlUNVNXqqnqXqpapnZr69rU+w38ag+N/X2Qoi4iIoGfPnkhoKFx/PR7DnuFOphJ+agtffVUCwhoMBkM2uKs0cvq5exGQUAiylGtatIBataBb9E/EjRqTqVzkQhfL888RH1iNF3mH994DR5kZTxkMhvJOtn4aIhIBXJ0u6yER6eNSzRfoDWwrdMnKGSJwww0w55PridjzDOzbB/XqZV05KAjPeXN49fYm/Psv/PQT3HRTcUprMBgMWZPTSKMr1rrDK1gmtvelO05NjwPxwNCiFbN8cOut1gaGADrn5xzrel7ZgYeGBWEjmTeGp5jIfgaDoVSQrdJQ1ddV1UNVPbCmpzqkHqdLPqraSlVXFZ/IZZcrroDokIZspzHnv806MFN6Bvc7xlbPy2mz9Uvm5F7dYDAYihx3/TQ8VHVNUQtT3rHZ4OabYRY3cfiYZ66LFb51qxNUK4g3eI13Xokxow2DwVDi5DkIk4hUF5E6rqkohCuP3HorvMqb9GI+Krl0vwjBk94njCN03/ohP+c8o2UwGAxFjrt+Gh4i8raInMLa1mNfFsngBldeCTVqCAcOwPoVue/z6HN1J3ZfdhPP8R5jXzpmRhsGg6FEcXek8STwGFZcDcEKoDQSS1nsAR4sCuHKI6lTVM8zikbda7sVqq/W1+/gQzydt33KL78Ug5AGg8GQDe4qjfuAN4B3ncc/qupwrCh6/1FGNg4sLdx6K+zkUgLiT6HLluda37fFJcwYspSRvMJLLxm/DYPBUHK4qzTqY22Vm4K1u6wvgKomAWOA+4tEunJK586wuXp34vHm+P/cM4u64b1O1Ajz5N+tcUydWsQCGgwGQza4qzTOAal7dx8GGqUr8wSCC1Oo8o7NBr1v8+c3rsE2dw7uLFT4+sK4+9ayn7r8+MyfJCYWg6AGg8HggrtKYwPQxPl9AfC6iNwhIrcC72DtQmvIA/fcY8XYqBq1j+RN7jnU93muCWrz4pljw/j8M7MibjAYih93lcYYINb5fThwFPgWmA54AUMKXbJyTps2sKPB9TzFhyza5F64c88gPw4OfpOOrGbDqzOJiSliIQ0Gg8EFd537Fqnq587vR4F2WHE1LscKw7q5yCQsp4jAdfeHMIan+GyWe0oDoPVHA/nXtxkvnn+RD94xc1QGg6F4cddP4x4RqZJ67Awj+69TWQSKyD1FJmE55u67IZAoKs/7jnO7j7vVRjxtxLz2Hg35lx2jf+Hw4SIW0mAwGNLh7vTUl6QLjORCPWe5IY/Urg23t9vLV8l3sW6E+5tLtXi+F8O6/MW0xJt47rkiFNBgMBhcKIx4Gv5YZriGfHDlo83ZTx085+VhR0IRHprUDi8v+OnbaNaWiaC3BoOhPJBTPI3LgVbpsvqKSDOXar7A7cDuwhetYnDTzcI3g65n4Nn/8e/mWBo093OrXYMG8GWPqVw391HuGbSZORtqIyYyrMFgKGJyGmn0A/7nTAq8nO44NX0MXAq8VLRill8CAuB8xPX4Es/SV39Ly1c3fDf6vt0RP2K5adNrxuHPYDAUCzkpjTFY6xX1saanbnIep09hQHVVNdEeCkBA7yDOE0jKgoUkLl2FHjnCggULWLJkSY7tgpqHs7P7UAbyFZOe2Ex0tJXvjsIxGAyG/JBTEKZzqrpfVSOxFMRc53H6dFTNG6pAqCr1Gp3h7YAXuDvhC7i2F47wcGInTCA+Pj5XBXD20S6c96jEyyefYOL97iscg8FgyA/ZrmmkR1X3p34XEW/gASwP8cPAZFU1hp/5RETodXkLusXdgJ0EiLO2S+83dy4e48YhOSxUqCpxPl78U68hV+1ZQtsfepDyUxKxfa6DwYNR1RzbGwwGQ17JaSH8DeBmVW2aLs8b+Au4jAsWVU+ISAdVNTE18olERuLl7w3nE9LyPHx9kchICA3Nvp0IPVu0wHFwEwIEEg1J7ikcg8FgyA85rWlcA8xzyXsMaA6MBioBHYAk4JUika6CoOHhOOLjM+Q54uLQ8PBc20pkJB4+Phnykm1OhWMwGAyFTE5K42LANS74DViR+15U1Shn3PDRQLeiEa/8o6os2LSJ2b17k+xpR4FkbMzscT0LNm3KdU0jK4VDXBxHfcOLTGaDwVBxyUlpVAKOpR6IiB1rz6nFLovfm4Ds51AMOSIi+Pj44Dd4MLYDkfwRfCugbK90Pz4+PrmuaaQqnBS7HQ0KwoEQgx/3PHAWh8PYKBgMhsIlJ6XxHxCe7rg9YAdWutTzAsx+qwUgIiKCnj17IqGhnB/5EYl4c9ns6XTpEpFju/QKxyMyEpk/n5PfzCeAGAavf5VpxnfDYDAUMjkpjeXAkyJSWayfu0MBBzDXpV5L4FARyVdhSB1R9BkUwlNVv+HJ6DeZPTv3dukVDh07Uv2uHmy46U1uYSYrHprCiRNFLLjBYKhQ5KQ0XscaaRwDzgI3AxPSm986uRf4swhkq5B4ecGlL93EIWrz7ru51wcyTWG1m/4sK6v25XSMnYceciswoMFgMLhFTs59+7DiZbwLTAEGquqj6euISBjwO2aX20Jl0CBoHriXN//qzqav8x6qRDxthK2Zzc/+d/DjjzBlShEIaTAYKiQ57nKrqgdU9TVVfVxVv86i/LCz7O+iE7HiERgIN91XmXasIe654fk6R3g94aOxymA+Z9fg9zEWuAaDoTBwd2t0QzHz4PPBjPV4mg5Hf+Lg7HX5Osd998HdtZYwIvFF3uj7NykphSykwWCocBilUUoJC4Ojtz/JaS7i9JDX8nUO8RCaLhnPcY8Qnt96N+8NN0ZuBoOhYBilUYp54rVKvC/DaHFoHkd+XJ2vcwRffBGH35lCQ3Zz0dvPsnx5IQtpMBgqFEZplGIaNYLjtz3OMN7j9RlNc2+QDW2fu4plbZ7hYf2MV27cZsxwDQZDvjFKo5Tz3BsBfOgxjEnfB7KvAFtCXrF4JEOaLmbZqabcfjs4HIUno8FgqDgYpVHKueQSuOsu6JX8M/u7D8q304VXgDcvzI+gShU48sd23nzDOG8YDIa8k63SEJE/8pB+L06hKxqvvgr1JZKIPZM4/HX+u7pWLfjl1b/YTHOOvD6BX38tRCENBkOFIKeRhgdWzIzUdCkQgeUl7uv8jAAacSG2hqEIaNgQYu4azAFqE/3UqwVy8e7weFv217+aD3ial2/dxa5dhSiowWAo9+TkER6hqlep6lXAWKy4GR1Utb6qdlTV+kBHZ/7Y4hG34vLKm9686/kKl5xezT9jCjBE8PCg3tLJOLx8+Czmbm7oncS5c4Unp8FgKN+4u6bxJvCqM35GGqr6FzACGFnIchlcCA+HoCfuYy/1cLz6GlqAbc89aoXhOelz2vE3t//7JrffTprjnwn5bjAYcsJdpdEQyM5Q8zjQoHDEMeTEC696MSLwQ96KeZKZMwr2cvcdcAv/RlxPit2bDfOPMqb/KvTIERYsWMCSJUsKR2CDwVDucFdp7AMeyqbsISCyUKQx5EilStBh1A18y90Me96DxMT8n0tV+fe5h6nZbj97qc8DM3uRVLsesRMmEB8fb0YcBoMhSzzdrPc68K2IbAVmYG2XXgO4BWuB/K6iEc/gyuDB8OnYRK7dNYZfBl/KTZOvz9d5RISel1+OY80N2EjEjzhIgb4/z8Nz3LgcIwYaDIaKi1sjDVWdBvQEzgEvAuOcn2eBnqo6vagENGTE0xPefd/GQL6iyZQXOLQ//7sQSmQkHj4+GfJik73ZPDuygFIaDIbyitvOfar6m6pegWVuGwL4quqVqmp8NIqZ6/ramNv2dS7VHXx/Y/5jump4OI74+Ax5/sTQ/9labNxYQCENBkO5JM8e4arqUNXjqmo2oihB7pxxE5s9WtB3w+v8/GNynturKgs2bWJ2796k2O1oUBAOmw1PUhgV8zjXdkswPhwGgyETbisNEakvIi+IyHgR+cIlTSpKIQ2ZqVXHg8j73qAh/7Lk/inE5HHXcxHBx8cHv8GD8YiMRObPRw4eZMuDj5BS9SKOnrbTrRsmeJPBYMiAWwvhItIP+AFLyRwHElyq5MnURkQeBYYBocA24ElVzXXTbhFpCKwHRFUD8nLN8sh1n/bl+58eYeWpxrz0Eox1uliqqlsL2RERERfqhoYiQLPPx1H/Q+jQXTi+eg83XhnEj39WIzy8SG/FYDCUEdwdaYwElgChqhqmqvVcUn13Lygi/bE8yN8GWgIrgV9FpE4u7ezANGCZu9cq73h6CWfeeoA1Hh34/qMjbBifd18LV+UiIvgHCPPnpvCbTx+++68Lt19x0Iw4DAYD4L7SqA+8r6qFEYnhaWCyqk5U1R2q+jhwBHgkl3bvApuxRjwGrBFF3bon+CD8SQ5Qh4uH9CIlPLxQfC0qBduoNvNzatsO8/3hK7iv0z8F2prdYDCUD9xVGjuBKgW9mHO00BpY6FK0EOiUQ7veQB9gaEFlKE+ICD1btODxA5/iRTJBeh7PxET6zZ1LzxYtCuxrEXBdF/SPJfh7JvD9kSsZ3GY927YVkvAGg6FM4q5z33PAGBH5S1X3FuB6VQEblnNgeo4B12TVQERCgYnATaoalduLUEQGA4MBatSoka8tMaKjo8vMVhpB27bR3NsOyUlpeUliZ/usWZxvmv9of+nRcf9HoyEv8PTpl+nYcQ7vvbeZSy+NylCnLPVZacD0V94xfZY3iqy/VDXXBCwHDmMtgG/FWldIn5a6eZ4wrEXzzi75w4Gd2bT5HWuzxNTje4Fod67XunVrzQ+LFy/OV7uSwHH4sCbb7arWhumqoHF464E1hwv1OrG7D+ltPU4rqPr7OXThwozlZanPSgOmv/KO6bO8UZD+AtZqNu9Vd6enUoB/sBatTziP0yd3fTZOOuuHuORXJ/PoI5WrgeEikiwiycAkwN95PNjN65ZL1NXXIiAABfZQn253+ZKQUHj7R/k2qMk3v1zEPbfF82NsD77rNYVJxtDaYKhwuDU9paoRhXExVU0UkXVAdzIuaHcHZmbT7DKX437Ay0A74L/CkKuskuprweDBeIwbh0RGcvZIDP0frM/u3ZV5+mkYN67wruflBV9OTObfv+DL/QN5ctBpXtrzBG+9dWHKUN009zUYDGUTd9c0CpMPga9FZA2wAngYa9rqMwAReQdop6rdAFR1a/rGItIGcLjmV1RcfS0qA5NqKhFXJuMzfizT2z1G/4E+uZ3GbTyCArjkn1/Y0/Euxmx4ijffOcWDmx7hgW7b0UaNWLBpEz4+PkRERBTaNQ0GQ+nBXee+LrnVUVW3/CdUdbqIVAFewXLu2wpcp6r7nVVCgYvdOZfBwvWXffv2wtRHl3PDR88y6/7VrGs8jdbtbIV3QW9v6q+Zxvr2t/Dq+pEkzRtF3K9+pLzwNLF9roPBg82Iw2Aop7g70lhC7l7fbr+VVHU8MD6bsntzaTsZmOzutSoq/cZcxdSVH3DH2meYFPEkNf75iFq1C+8lLp6etPx5PI7av+DlSMZLz0OS2VrdYCjvuLsQfhXWgnT6dCvwFVYApj5FIZwh/4jAzSueZlrNZ3gg7hNmtB1FdHQhX2P/fiTAP0OeR3ISf9z9JSlJZj9Lg6E84m48jaVZpFmqej8wB+hbtGIa8oPdDj02vsfsgLsYdOwtBvc9QlJS7u3cJaut1QWl2x8vsy+4NWenzLGMgA0GQ7khz1ujZ8Fc4LZCOI+hCAiu6kGT1V/QM2g1U5eEMmAApOQ/blMarua+yf7+pNjtTOw4iME+kyA6isoD+7Fj0PsFv5jBYCg1FIbSaIT7fhqGEqBhUztjfmtGQABUnv4Z7964usADANet1Te/+y4ekZHUfe0muk+5lAev3Mn9TOKqLwbw6KMQv2wNLFxoRh4GQxnHXeupe7LItgPNgAeAWYUplKHwadsW5s2IJfTaD7jo59O8M3AFL351KQVZr05v7nu+aVMkNJSeISGICDffDO+9dz/fvAaffgp9vn6f66J/gCuvhDfegKuuKrybMxgMxYa7I43JWaQJwENYTnlmI8EyQOeefvz3v/kk48mdX/filfsP4yjgGDGrrdUBPDzghRfgr7+gUSO4MfprhvAJZzfshauvttKqVQW7uMFgKHbcVRr1skihquqrqveq6rmiEtBQuHS9/2J2fvgrVThF/8m9eOyuMxnWOLSQp49atoRNm+CZF7353PMxQmP+ZXilMcRv2H5BaZgpK4OhzOCu9dT+LFJ2e0UZSjldn2rFrlE/0oh/ODNtAQ/1O0LCkrwHcHIXb294+21YswYuae7LG+eeIPjsXm767VEruNOUKdC7N6xdW6jXNRgMhU+eFsJFpI+IjBaRSSLynjPOhaEM0uq5bkx+aTq+tlg+mnsxSdcUXgCn7GjZEtavhw8/BM9AP3781YdLL4VZP6Sgq1ZbCy/9+sHGjYV+bYPBUDi4pTREJFBElmL5ZDwBXAc8CcwRkSUiUuHjdZc1RITBQ9oz0eNR/IgjIMUK4HT9L/MKJYBTdths8NRT8M8/cOutkJAAN8+9n0b2fay/8U102TJLuzz3XJFc32AwFAx3RxpvA62AAYCvqoYCvsA9zvy3i0Y8Q1EikZHYfL0z5DmSHGwa7RpYsfAJDYXvv4c//4TLL4fdx4Jo/eMrdKyxj3/6v4Z2usKqeP487NhR5PIYDAb3cFdp3Ay8oqrfqmoKgKqmqOq3wKvOckMZIyuPbi+SuPz/7mXd5fcXihNgblxxBaxbB5MnQ61a8Nc/lbl0+ut0HNXPcuv46GNo2hTuvht27y56gQwGQ464qzSqANuzKdtOIcQPNxQvmQI4VapEit3OmEuG8hQf8vam3vTqBcd2nbOmiorwhe3hAQMHwr//wgcfQJUqlqluz57Q68eH2HvzMPTHH6FxY7jvPthbkIjDBoOhILirNPaR/aaE1znLDWUIV49u+fVXPCIjaTz2WmqOvpolwTfz228wpPUqHB/+H1xyCVxzDcycSfoNrFwXzAuygO7tDU8/DZGRMHIkBAfDwvVVuXjGu3QL38vOHkPRadNgyJB8X8NgMBQMd5XG58DjTqupq0WksYhcJSKfYzn2fVZ0IhqKioiICHr27ImEhkLHjpZHd8+ePPtsCzZvtpy2Z0T3IizlIDNbjiTln91wyy1Qty6cPs2SJUtYsGABeuQIQdu2FZrJbkAAvPwy7N8Pb70F1arB4u01aPzrh7SvsodJzcdy9ixw4AA89hgcOlQY3WEwGNzAXT+N/wNGAXcCi7ACJ/2OtRA+SlXHFpmEhiIlO4/umjXht9/g//4PznqHcMuGl6mVsJdlw35G7x6AXnQR8fHxhD33HFqnDs2few5HIZvsBgTASy9ZumHcOKhXD/7+L4xB7zakZk344v4/cUyYCA0awBNPwJEjBb6mwWDIGXdNbisBb2CFZe2DpSx6A2Gq+nLRiWcoSTw84MknLbeJ9u3h6AkbXUf34drN77J7t9CzcWMu27IFj+RkPGNjsSUm0u/nn+nZtGmhmuz6+MCjj1prHj/9BJ07Q2wsPPD7ndRP3sWcSgNwfDIOrV8fnn/eeJgbDEVIrkpDRDyBU0B3VT2jqr86rah+VdUzRS+ioaS59FJYudLaeLBSJViwwDJoGvvcYTQwKENdW3Iy8tZb1kFyMoUZwMPDw/L9W7YMtmyBQYPgdGA4/Y5PpKHjH75Nvp2ls8/y5wqx9EZUVKFd22AwWOSqNFQ1GTgGFIMBpqG04uEBDz9sOeUNHGjF5Bj1fT3iozIqBYenJ3rffdbBvHkQEgIPPAC//gqJiYUmT7NmMHGiNSP16adwUeuLGZD8JRH/fEbnznBjzTXEV63J8cGvoKdOF9p1DYaKjrsL4d8Ag4pSEEPZoEYNy6di3TqlRnNPHuJzYvHlHEEk2ryZee0NLDhzxlrTCAuDa6+FH36A666zGt97b6GOAPz9LWW2di1s2wZPPimEhsLWI8HMTryW6hPfIrp6Pf7o+jqbl59DtXAtvgyGioZb8TSw4oDfKSJ/A7OBI0CG/zRV/aJwRTOUZlq2FMaM2cqqVZdyw7Q9RG2JZF9KPWIWB3Nj5cO0bCnUaNMGvvnG2itk4UKYMcNaIAlw7jozebJlV9ujh7VwUUCaNLEW7j/4AJYubcDkydP56KdXePr8CG5eNoK9Xb6iVo3NtO1wkqfv9KZjSCSeDcNZsGkTPj4+REREFFgGg6Hco6q5JqzIfDmlFHfOU9ypdevWmh8WL16cr3YVEYfDoQ6H6qhRm7R1a+t3PKh6e6vee6/qmjWZGlz4bNTIqhwYqHrnnao//qgaG1uo8iUlqc6fr/pqn/X6QOA0BdW7mawJeOk5gjTOw0c/uPxJnTx5sTpSZSsGzDOWd0yf5Y2C9BewVrN5rxYknkb6VL/w1JihLCEiiED79qdZu9ZapO7VyxpcTJ4M7dpBmzbw+edYvhWpVlUisHmztdZx220wfz7ceCMMG2aVq1omUgXE09PyLH/j55ZMONuf1T8d4QuPwdhJIojz+DjiGbrxY87eO4ur60XyyCMwc0oMx3edNVZYBkMWFCSeRoZU1IIaygadO1t6YNcuy3G7cmVrb6mHH7bWxPv3hzlzID4esNstDfO//8HRo9YU1iOPWCdaswaqV7ca/PADxMQUWDYPD2hfPRLPgIxTYR44eIzxRO0/xWefwS8Dv6d6o4uI9qzEf8HNONT8Ws7d/hB62OkHcvQo7NljaUaDoYKRp3gaACLi4ZKKZg9tQ5mmYUP4+GM4fBgmTbJCgycmWjvb9utn6YMBA+DHHyE6GvDygu7dLVtesLTNgAGwZIk1EqlWzfJGP3y4QHJltUmj2r3QfZGMXdaKl1+GlFbteMHzfSY57mPNmYYc3XKChOk/cllz4frrYdldn1sOhT4+1na97dtbskVHWyfcudNSekePUuB4ugZDKSPbhXARCQEmAdNVdYozzwa42k1Gi8glaiL5GbLA1xfuv99K+/dbU1YzZsDWrdYa+TffWHtOXXWVFbyvRw9L4UijRpYt7SefwPLl1mjjt9+shXOA6dMtP5C+fSEoKEcZUlHnJo2xvXvTb+5cPHx9ccTFMbt3b/x2bqVnz5pc0RkY2ZTExKb89Rf88Qd8ttKyzjp9Crb9DP9yK+2pQ20O0jT6AI0iDxK2/x/+XuxHi5ZQ8/0PkEn/sy5qt0Pt2paS+fVXa1pu2TKC//rLUoR16kBgYJH0vcFQFORkPfUoVqyMW1zyBZgIHHZ+7w88DLxeFAIayg9168Lw4VbavRu+/RZ++cWK5jd/vpXAeo926wZdu0KXLjbCu0YgERHWGkPqwHbiRPj9d0vj9Oxp/dK//nrL+zAbUjdpZPBgPMaNQyIj8QgPx89pPZV+0Gy3W1NtnTtbx6qWR/ry5bByZRM2bmzC1K2QEA04Bxhcb320DHyenk360qLKQRp6H6Cm4yCVvJLwQRCAt9+m+YIF8MILVoPKlaFjR8uvBSyFmJRkdUSdOtaeLl5eBe5/Vc1wj67HBoM7iGaz2Ccia4D5qvpaurzUkUZbVV3vzHsMuEdV2xeDvHmiTZs2ujYfcaeXLFlizC/zSEH67Ngxa3uQX3+1XsqnXXzxataEDh2s92r79lbQpgA/B6xebY1AZsywNi286SZrF16wfEGy+QVfWC/P5GTLM33NGkvxbdlixYs6ezbr+kFB1mbB7WsfJiR+JRH1k6nDAarFH8SnWiDyjjOWWdOmsD1dJAIRuOEGmDXLOh492lKWdepYo5g6daBq1QsKNQuWLFlCfHy8FZUxMhINL3umxub/Mm8UpL9EZJ2qtsmqLKeRRiPgtSzyXZ/MXc66BkO+qFEDHnrISg6H9QJeuBCWLrXiavz3n6ULUvWBCDRq5EGrVp1o3rwTzT/7gNYpa6gW5mU9nJGR1tu5Wzcrpmy/flaQjkLG09OKTNuy5YU8VUve9est47Dt2y2jgN27rSCEa9fC2rVhuA7gAwKg/jwID4dLuq6hSZ+DXGw/SC2HpVT8G4ZdWIB8/304fjyjMAMGwJQp1vdHHrEWjZxKRWvXJvHsWWKnTMExdy4ePj444uOJ7d0bBg82Iw5DnshJafhwYeANWNH6RCQUOJkuO95Z12AoMB4elolumzbWDrcOh/XiXb4cVqyATZusdebU9N13YNlzdCAw0Nonq1NdL25r/yTN1/1AwPwH0MGDkW7dYOxYlhw9WqS/uEWsCIS1almzZamoWu/5rVut0ciKFfuJiqpLZKS1i29UlKVkNm8G8AcudSYLT08Ie8cadYVdeZRLgk/SwPsg4R4HCEk6iHeTi/E7AlX9YvH6+WfLYMA5iyBA90cfxTF3LrbEREhMxAbcMHs2Eh6O7NoFERHQvLllrXDwoKVkg4KsP0gZxkzJFT45KY3jWP4Xf6bPzGLBux5wopDlMhgA653VrJmVUq1xExJgwwZrWmjTJusl/M8/1rTW33/D33/XZCzvAe/SivXckjKDm3/7kYdvDSY+8CIe2/skKSdmoHZfSEnkRMQtBD12T5G+UESsEVWNGtYAqFmzfURE1AWsd/vp09Y97NkD+/ZZ6fDhC+n0aUu5HDgAlhqo5kytLlxkKIAfVaocIvSSJC4NOswlPgeo53WQypEJ9PX4Bls6OxZxOCwXerBM3Zo3t4Ro3tzKs9ngoossBfLee5YW3LvX2qe+SpWMqUULy0gh/bpTCVMepuTyQ1ErypyUxp/AAGBKLue4B1hRaBIZDLng7W2tcXTokDH/xAlLiWzbZk0J7dkjREa2ZuTB1rwU+w5shRocpT8/4EkKxFt7YN296Fv+XvQPF1XqQUgIvBL7Ig0cuyAgEAkKxOOiIBx163P25gcIDoawPcsJ9E7EPyQQW+VAa+2kcuUL26PkERHrvdupk5WyIi7OGgBERlrTX6np+HHrvo8fh5MnLeVy6hScOuXFVuoClmKqwVGu47GM58SXBuwmAR88nrXj+RaEB4Zxbf3JVPc6TTWPU1TRU1ROOcX6n4I5sxsuOXyAa8d9hmdCRsfLE5PnYut7HYGLf8bznjuQ4OCMSuXNN6FRI+sPs2qVlZe+TnBwoY5qVJV///2X4HnzrCk5Ly8cSUnE9u7Noeuuo2vXruVyxLFkyRLi4uLodfnlVmC0Ro2Yv3Ejvr6+haYoc1IaHwF/isj7wAtq7XabhnPL9PeACKBzoUhjMBSAatWsiLTXXJMxX9VabN+1C6IX7SN5tD+eCefTyhOxs1Oacu4cnDsHcZwkgH8IJIogzhNIFGtpQ6+JDwCwkSHUZHOGa/zlfxVPNf+DoCAYs/YKKiedJNEnkGSfQJL9Ajl2SRf+6fssfn5w2e//h+PEYXbP34OtciC2i4LwuLgetiaN8PEBn5hTeFcJwObnnXZ+X19rmeaSS3Lug5QUS4EcOWK5iVhKRVm27BDvbR/GC/vexSGeiCOZZ/zfJ9ojmPh4H5ISBI7C0aNVWM3AzCdOCxEfAcTgTTxVOJWWNt/bnNPAZYRzrzxC9aOnqHbCKgvWLby0PYnDwXDryd95fMejmU7/fw9uJ6pWY1pv+4rWq8eTGFiFpKAqJFWqQkqlKhy46Um27r8In2P78Y09ha1yIB6VAvH09cLbIwmPkOrYfTywnz6K/fRRbI5Emu8/QOvZs7E5HGlTcv1mz2ZDixaWx6ndblml2e1w8cWWIFFRVid6eV1IZUS5ZFCUv/xCc5sNx1NPEdenD/8VoqLMVmmo6ioReQ5LMdwtIouAA87iOkB3oCrwoqquKrAkBkMRIWJ5o4eEgDYMx/FeRuc+Tzvcve8drrNbRliHD0/k72PWi/fUKTh1Ujl3MonOUZZl1FPHp+ITfRKPmCgCiCKQKE7EVGOV87/gZzpRi0MEnbcUTiAHWbvzP56eY5WfYziXEQU/X5BhEvcziEmAkkx1bDhIxIvzBBHjEci3foP5PPhFAuyJfHD8buI9A4n3slKcPYjtVbqwp2p7fG2JND23kiSfwHQpgPPn/FD1wENAbNYEV1jYYTo33Enr1pfjSFESEoXEmCRsUWdJiUskJS4RR7y1BnJQ6nDGUQmfmFPUP7cBEhPxSE5Ekqx0mEuJS4bkBG8OO0I4kVwFe3Iidqy0clsQBwFvLqYWN+BPNP7E4kcsvsQxYaKyExjDOrqwnUok40kyNlLwQLlx+m3spgXLuJIOWUxsVOEEp6nKPO7lWhYA0C6LZ8HD4aDNiBEwYkRaXiJ2GtdPwNMTphy6nvaxSzK0ibJVpme7M3h4wGebO3JxzBYc4oGKB4oHZ7xDeOyq7dhs8O6yjlSPjbTKRADhREA93u61DA8PeG1uO4LijqMiaRZF/1W5jAm95+DhAS981xyfpPMICgqCsrd2F77v+w0i8Pz4OtgcSYg6rISyvcktzO3zGZ7J8Tw7agjeKQnWuZ2xbK7/6SeW3eLqOZF/ctzlVlU/EJH1wPPAzVxY8I4HlgHvqeofhSaNwVCE5Ojct3kTPXuGULWqcPnlri0FsKc7bgJYi/Rnz8KZM1YactYaqZw/P5rj5+Hf89buJ9HR1jZa/WOtaab+MaeIPX6QQDzxijuPV3wUx5ODqZYCyQkOhsX8H74pUU6FE0WQ4zzbo2tzIBqCiKMuW9LKAonCA+XlvSP5lfbU5igzuSrTvb/GCJ7nXewkgMPa/uSV3W+RsHs09nlJ3MeXTGEgnVjDCq7M1P4mZrKCm+jJ30zg2kzlPVjALkJpwhbeZ1hafjI2ErEzg1s4SB0qc44WbOKCOrFzhotIcL5afqM7dTiYoTwZG6ewrN8mMJj/qIUXiXiTgA8JeJFIDNbU4GFqcprKBBKFl5shgM4RyN691ncb5zOVx6TY034Q+HIMX2Kw/PwFRTiX7Mcvv1jln3AQf06l2wJciIqz8fXX1tFo9lGJs5ZSQBEgKloZP94qf4e9BJBxyxzvHRt5b4f1/TVO4kdchvKkdZt5fR14YOd5kjOZt9pUuSowsNCm47L108hU0fLRqIL1H3RSVUt9UCbjp1F8lJU+Ky2Lo7n1l6plyBQfb6WEhAspMdH6jI+HxHgHjuhYEpM9SLD5obFxVNqxGo+YKGyxUWmf0b5VuXrOk/ikm5ZLttnZfMmtnAqqx6b6N3Kgaiv8o47SfPdMUmzWCztJ7CSLF7urduSkd0384k8TdnY7SWJPSwlq55R3GAk2PzySE/FMSbDa4oUDDy7sfWwlhyPjcer9pn66fk9NMTFn8fOrnKl++j5Ly3c4uOj0Bubtb489nfJIxMbA6j8SE1CPJIcnKU6l9p9nXVShUsppPBzJpKgHKdhIVhvJeBInftYJHA7UqSyykjUrmXKS1zXP2xGHnURsmowXSXiRRILaOeFRA4DGyVvwIQ4vtcpsmswJqc42m2W8MDz+eZ5Oei+D4lCAOXOQvn2zeNKyJr9+GhlwKonjuVY0GEoxERERF6xJQkMRoGdISKlbFBWxFvy9vXN0cscyN06/AO8LWYw09MgRHLMzTsuJDVr+PhoJDaV7Wm4IuCyYZyQYshiJXMBOxlFZ4bFkyUa3FbuqMGnSBn6Zdz39fvkFD7sdR2Iiv/TpQ7frjvHAA32y+ZsH53LmojZB9nWm7Lgs2xJV5Y/vmpNyjwee6fY8S7HZWHr+PFcXkhVV2TbCNhjyges/TmlTGIVN6rTc7N69SbHb0UqVSLHbmd27Nws2bSqXkQtFhAYNGuD74IN47N+PLFqEx/79+D74IA0aNCi3f/N9cXHM6dePFLudZB8fUux25lx/Pfvi4nJv7CZujzQMBkPZJC97bpUnshpV9iqFo8rCIlVRxjv/zhtmzaLlTTfht2kTwYX4dzZKw2CoAJSVabnCpqKNKtP/nc83bYqEhhb639lMTxkMFYSK9gKtqBT139koDYPBYDC4jVEaBoPBYHAbozQMBoPB4DZGaRgMBoPBbdz2CC+LiMgJYH8+mlYlY8wQQ+6YPssbpr/yjumzvFGQ/qqrqtWyKijXSiO/iMja7FzoDVlj+ixvmP7KO6bP8kZR9ZeZnjIYDAaD2xilYTAYDAa3MUojayaUtABlENNnecP0V94xfZY3iqS/zJqGwWAwGNzGjDQMBoPB4DZGaRgMBoPBbYzScEFEHhWRfSISLyLrRKRzSctUGhCRESKiLulounJx1jksInEiskREmpakzMWJiHQRkTki8p+zb+51Kc+1f0TEW0Q+FpGTIhLjPF+tYr2RYsSNPpucxTO32qVOhekzEXlRRP4WkfMickJEfhaRZi51ivw5M0ojHSLSHxgLvA20BFYCv4pInRIVrPTwDxCaLqUPI/Yc8AzwONAWK8rjIhEJLG4hS4gAYCvwBJBVxBt3+mcMcDNwB9AZCAJ+cYZaLo/k1mcAv5HxmbvOpXwMFafPIoDxQCfgaiAZ+E1E0ocbLPrnTFVNcibgL2CiS95u4J2Slq2kEzAC2JpNmQBHgJfT5fkCUcBDJS17CfRVNHBvXvoHqAQkAnelq1MbcAA9S/qeirvPnHmTgV9yaFPR+ywASAH6Oo+L5TkzIw0nImIHWgMLXYoWYml2A9R3TiXsE5FpIlLfmV8PK7h0Wt+pahywDNN34F7/tAa8XOocBHZQsfvwShE5LiK7RGSiiFRPV1bR+ywQa7bojPO4WJ4zozQuUBWwAcdc8o9h/SEqOn8B9wLXAg9i9clKEanChf4xfZc17vRPCNavRte9gipyH84H7gG6YU25tAP+EBFvZ3lF77OxwEZglfO4WJ4zE+41M66OK5JFXoVDVX9Nf+xckNwLDARSFydN3+VMfvqnwvahqk5Ld7hFRNZhbUDaG5iVQ9Ny32ci8iFwJXClqqa4FBfpc2ZGGhc4iaWBXbVtdTJr7gqPqkYD24CGQKoVlem7rHGnf45ijXSr5lCnQqOqh4FDWM8cVNA+E5H/w1rEvlpV96YrKpbnzCgNJ6qaCKwDursUdceyojKkQ0R8gEuxFt72YT2M3V3KO2P6Dtzrn3VAkkudWkBjTB8CICJVgZpYzxxUwD4TkbHAnVgKY6dLcfE8ZyVtAVCaEtAfy7JgkLMTx2JZddQtadlKOgHvA12xFtvaA78A51P7BnjeeXwT0AyYBhwGAkta9mLqnwDgcmeKBV5zfq/jbv8AnwL/AddgmXwvxpqztpX0/RV3nznL3gc6AuFY5qarsEYaFbLPgHHOZ+hqrNFEagpIV6fIn7MS74jSloBHgUggAUsrdylpmUpDSvfwJTofuJlAk3TlgmWWewSIB5YCzUpa7mLsnwisOWHXNNnd/gF8gI+BU86X6M9A7ZK+t5LoMyxT0QVYfgaJWGsZk137oyL1WTZ9pcCIdHWK/DkzGxYaDAaDwW3MmobBYDAY3MYoDYPBYDC4jVEaBoPBYHAbozQMBoPB4DZGaRgMBoPBbYzSMBgMBoPbGKVhKLWISEcR+d4ZUCZRRE6JyCIRGZi697+I3OsMzhOerl2kiEx2OVdfEdniDK6lIlJZRDxEZIyIHBERh4j8VIT3Ep5VoKEs6qXeT4OikiW/iMgNIvJ0FvkRTpmvKQm5DMWL2bDQUCoRkSeBD4E/sLxc9wMXAT2wPFrPArOzaX4jllds6rk8gW+xtkl4DMtZLAq4BSsA0DNY3sanCv1Gyhc3YHkRf1jCchhKEKM0DKUOEemC9WL6RFWHuhTPdu7w6Z9de1Xd4JJVEyv2wPequizddRo7v45RVUchyO2tqgkFPY/BUJox01OG0sgLwGms0JWZUNU9qro5u8bpp6dEZATWtjAAk5zTKEtEJBJruwWAlPRTRyISKiJTnDGUE0Rks4jc7XKN1GmkLiLyg4icxYo5goj4ich453RatIjMAQo1brWIPCgim5zTbSdFZJJL2E+c8o0UkaHOwFlRIrI0i5jRNme9IyISKyJ/iMilzvYjnHUmY22DX1MuxOuOdBHLT0Q+ccpzQkS+EZHKhXnfhpLHjDQMpQrnWkUE8JOqxhfCKf+HFYf6B2AkMBdr6sobGIoVWKqjs+4eEfHH2q/nIuAl4CBwN/C1iPip6gSX838LTMWa6kr9f/oca/PL14G/sXYU/a4Q7gUAERmFNaX2ETAMayQ1EmgmIp00Y3yFu7Fiuz8B2IHRWKO1S1U12Vnndee9jsaKyd0KmONy2TeBalhxp6935rmOqsZibWR5J9AIeA8r3MDAgtyvoXRhlIahtFEVa7O6/YVxMlU9JCIbnYd7VDU1YBQi8p+zTvq8IVjxGq5S1SXO7F9FpAYwUkQmubyUZ6jqc+naN8J6ab6sqqOc2QtFJAB4uKD341zwHwa8rqpvpMvfBfwJ9AV+StckCeijqknOemAp0HZYkRcvAp4EPlPV551tFolIEvBB6klUdY+InAAS0/eXC8tU9XHn94XOvhgkIveq2eSu3GCmpwyGjHQB/kunMFL5BuuXdhOX/B9djttj/V9975I/jcKhu/P834qIZ2rCmho7jyV/ehalKgwnW5yfdZyfl2GtD/3g0m5GPmSb63K8BWtEVyMf5zKUUsxIw1DaOAXEAXVL6PrBXAjyk56j6crT41o31PmZVZzmwqC68/PfbMqruByfdjlOnVLycX6mynvcpV5+5M3tWoZygFEahlKFqiaLyBKgewlZI53Gmo93JTWEpqtZruu0S6oSqYEVQ510x4VB6vV7AGdyKHeXVHmrY4XvTcWMDgxZYqanDKWRUVi/mEdnVSgi9USkeRFdeylQS0SucMm/E+vX+I5c2v8FOIDbXPJvLxzxWOQ8fx1VXZtF2pfH820BYoBbXfJdj8EaOfjmXWRDecKMNAylDlVd5vQ8/tDpSzEZOIBl0dQNKxzvnUC2ZrcFYDKWpdEsEXkZK7zoXVhrCQ+5LIJnJfs/IvId8IaIeHDBeuq6PMrRS0SOuuSdU9VFIvIu8IlzoXkpVoS22s7r/E9VF7t7EVU9IyJjgJdEJIoL1lMPOKuk91/ZDgSLyCPAWiBeVbdgqFAYpWEolajqGBFZAzyFFSu6KpYX91rgIawQlUVx3RgR6YplLjoKyynwH2CAqn7j5mkewoot/yyWmesfWEruzzyI8nEWeduwQne+JCI7sLzbH8OaIjsI/A7szsM1UhmOFSb0ASwz5L+wTJFXAOfS1fsf0AF4G6iMZeEWno/rGcowJtyrwWDIhIjcimUB1kVVl5e0PIbSg1EaBkMFR0TaA72xRhjxQGssr/x/gE7Gx8KQHjM9ZTAYorH8Ox4DgrAW/L8HXjQKw+CKGWkYDAaDwW2Mya3BYDAY3MYoDYPBYDC4jVEaBoPBYHAbozQMBoPB4DZGaRgMBoPBbYzSMBgMBoPb/D9TqCXXoioawwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lengths = [1, 10, 20, 30, 40, 50, 80, 120, 160, 200]\n", + "num_samples = 10\n", + "seed = 1010\n", + "\n", + "# Run an Interleaved RB experiment on qubits 4, 6\n", + "int_exp2 = rb.InterleavedRBExperiment(circuits.CXGate(), [4,6], lengths, num_samples=num_samples, seed=seed)\n", + "int_expdata2 = int_exp2.run(backend)\n", + "\n", + "# View result data\n", + "int_expdata1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Running parallel RB experiments" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ "---------------------------------------------------\n", "Experiment: ParallelExperiment\n", - "Experiment ID: 9d734cb8-798c-4f82-b8df-a99ce6f3cd6f\n", + "Experiment ID: 140d68a4-74af-48f9-8cc1-7d3b61a1f331\n", "Status: COMPLETE\n", "Component Experiments: 5\n", "Circuits: 140\n", @@ -181,17 +326,17 @@ "---------------------------------------------------\n", "Last Analysis Result\n", "- experiment_types: ['RBExperiment', 'RBExperiment', 'RBExperiment', 'RBExperiment', 'RBExperiment']\n", - "- experiment_ids: ['a73682b3-67ed-46b5-a923-b0f1064c983b', '371ded70-6ecd-48a6-b2ec-14ff17dc3296', '0f3121bb-b5f4-4c7e-bfe5-7981b55ffa98', '48fa576b-c5f4-466a-bb45-4e4400a0b13e', '258904b3-0a79-444e-be68-81411f9bdb8e']\n", + "- experiment_ids: ['ba4e4b75-3802-424e-8d5c-3e7928fa9c95', '93c7220c-dbd1-43a8-bb60-e8bcd8b6fbfa', 'adfd1b3c-4435-4c95-aa43-b67a8d230e16', '842fcff6-662c-47c2-a024-e871ac1b9c5b', '11b1662b-3f18-43cb-8e35-8df96ec6003c']\n", "- experiment_qubits: [(0,), (1,), (2,), (3,), (4,)]" ] }, - "execution_count": 4, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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wkIiICPr27cs777yDzWarl0zLly+nV69e+Pn5cdZZZ3nM31QVb2pTZGZmMnz4cAIDA4mKiuL+++93ScC3efNmBg4cSHR0dOW1H3/88RpJ+k5GvlNFpO4aGe7wRtZ58+bRrVs3rFYr3bp147///W+NMbXV8CgrK+ORRx6hR48eBAYGEhsby4033khmZuap3XRLwZNblbi6vK4CFlDNtRZD6SwAVnpzntN9nGxq9LKyMlm6dJls2yby++8isbFO8adI3nt4q+zfLy7Hli3SYmI3WoLL7ejRo2Xw4MEuNROysrIkNze3ckzVugq//fabPPHEEwLInDlzRETEZrNJSkqKhIaGytSpU2XdunWyc+dOmTt3riQnJ9frOe3cuVMCAgJk3LhxsnnzZpkxY4ZYLBb57LPPap1XV20Ku90uSUlJMmDAAMnIyJDFixdLbGysjBs3rnLMb7/9JrNmzZL169fL7t275csvv5S2bdvKxIkTT1m+6gCya9cur8d7UyOjOt7IunLlSjGbzTJp0iTZvHmzTJo0Scxms0tMTF01PPLz82Xw4MEyZ84c2bp1q6Snp8ull14qXbt2lbKyMo/339Q403EaxcBQD33DgGJvznO6j1Otp7Ftm6EYpk0TWcxg2W7uIlt+sbkojT17DMVSpdZLs6WlKI3a6kuIuK+r0LlzZ7n++utFRGTKlCmilJKffvqpxlyHwyFHjx71WsaHH35YOnXq5NI2duxY6du3r8c53tSmWLBggSilXALY/v3vf4vVaq1VvgcffNDl2icjnzvqozS8qZHhDm9kve6662Tw4MEuYwYNGlT5txU5uXoomzZtEkB+/fVXt/2tSWl4a9OwYRRDckdweX+LZcQIWHDOg3R2bGPjnW+69Fks4HRCtVxpmmaGn59fZc2KDz/8kMGDB9O7d+8a40wmU2W219mzZ6OUYvfu3R7Pu2rVqhr1IlJTU1m7dq1LjYzqc+qqTbFq1Sq6du1K+/btXc5rs9nIyMhwe97ff/+dhQsXMmDAgFOS71TxpkaGO7yR1dOYivOebD2UY8eOATR4duHmiLdKIw14QSnlkhFNKdUBeBZY1rBiNS2UgiveuJL5DGPI6ufITM9y6Q8IgLw8w6NKc+ZZuHAhQUFBLscjjzzidqzdbmf27Nls2LCBQYMGAfDbb7/RtWvXOq8TGhpKly5d8PHx8TgmOzvbbS0Iu91eIytr1Tl11aZwd15PWWMvvvhi/Pz86Ny5M5deeimTJ08+JfkAunfv7vJ8q7d1797d49zaamR4qr3hrayexlSct7YaHp6uXVpaykMPPcTw4cNpp5PPeR3c9wiwAtimlFqNkcojBuiL4U3l/j+ymSNVwhnPOw/+NvzvDJnfnfx7HqP92tmVMRpKgb8/ZGVBYmLrKNjUlLnsssuYMWOGS1tYWJjL6yeeeIJnn30Wm82Gr68vEydO5M477wSo2Hatk6uvvroyiWFtuKsF4a69tjkV86orEm/mzp07l4KCAn755RcmTpzIlClTeOyxx05JvgULFrisRDp37syCBQuIj48HqFWR1nbdk6m9Ub29Ietz2O12br75ZvLz8/nqq69qla214G1w33alVA/gIaA/cCFwBJgK/F1Esmqb3xxRCnx9oawMKt7/YyZ14q1FE+iVvZLvFtgYPPRESLiPD9hs6BQjTYCAgAA6depU65gJEyYwduxYAgICiI2NdfnAOOecc9iyZUuDyBITE+O2FoTFYvFY+KdqbYoKuURca1PExMSwYsUKl3mevkVXbGF169YNh8PB7bffzsSJE7FYLCclH1BZDrd6W0VtkNqoWiOj6vZaXfUvvJHV05iK89anHordbueGG25gw4YNpKWlNUihppaA19+JRSRLRP4qIski0rn858MtUWFU0LatUSe8gqgoOP7oc6SQxpMvWGtsRwUGGrYNvU3V9ImMjKRTp07ExcXV+IZ544038u2337J27doa85xOZ+X+tjf069evRhnYJUuW0Lt3b4/fxr2pTdGvXz+2bNnCvn0nilouWbIEq9VKr169PMrjdDqx2+04HI6Tlu9U8aZGhju8kbVfv3611ufwth5KWVkZo0aN4tdff2XZsmWVik6Dd95TzfU4Fe+pZcuWidNpeEft3OnqLdW1q0gs++Wff0qr4YK7a5c020y4LcV7yp3LbU5OTuUYd95TVSkpKZHLLrtMwsLCZOrUqfLzzz/Lzp07Zd68edKvX7/K5/T5559Lly5dZN++fR7PVeEmOn78eNm8ebPMnDlTfHx8XNxE3Z3niiuukKSkJFm1apWsXLlSkpKS3LrcDhw4UNatWydLliyRuLg4F5fbDz74QD755BPZsmWL7NixQ+bOnStxcXEyatSoesnnjpycnBrP2NPzdsfLL78swcHBMm/ePNmwYYOMGjWqhsvtLbfcIrfccku9ZF2xYoWYzWaZPHmybNmyRSZPniwWi6WGy62Pj4/MnDlTNm/eLPfff78EBgbK7t27RcRwuR85cqTExcVJRkaGy30VFxe7vR9378UzzWl3uQWWAudW+b224ztP5zmTx6kqDRGR4mIjFqOqYvj8c5H/kSoHaSMrFxx26cvMtMu2bSKHDp30pc8YLUVp4Cb1fnx8fOWYupSGiKE4Xn75ZenRo4f4+flJWFiYJCcny/Tp08Vms4mIyKxZs7xyNU1LS5MLLrhAfH19JTExUd5++22Xfnfn8aY2xZ49e2To0KHi7+8vERERMm7cOCkpKans/+ijj+SCCy6QoKAgCQwMlG7dusmLL75Y44OvLvnckZCQUGvtjaq1RNzhTY2MAQMGyIABA+ot66effipdunQRHx8fOffcc2XevHk1xtRWw6O22iLV66pU0JqUhhJxb/RTSi0D7haRrUqpNOrIcisiA+uxwDkt9O7dW9xtMXhD1aLs+/cb21T+/if6X795Ha8s680H4WMY9MtMzGYzDoeDDz98HYvFh2HDHiAhwXVOU6exCtE3Fkopr43WGk1j0hTfi6fy/6yUyhCRmj7n1GIIr6oEROTkrtxCiIqCXbuMRIUV29/Xv9KTfyX/mdF57/PUvedz71v38uGHr2OzFWO3W/DxcZCVZSYhwUg5otFoNC0Bb3NP3aqUcus6oJSKUErd2rBiNS2sVoiIgOLiE22xsSaW/mEIhQQx/Js5fP3EPVgOHwSMbx1+fiYcDqP2hkaj0bQUvPWemgWc7aGvI54r+rUYIiKMuA2n03jtdDo5t//vfOs3iGTnGsb8+wPGT53Keb/8gojgdDoJCDBccKsqG41Go2nOeKs0aou4CQRafIJwi8XYpqpQACaTiVhlYmTZV1hw4E8JPnY7w+fPJ1rMmEwmlDKixbOyoNzDUaPRaJo1Hm0aSqnzMYL4KhiulEqqNswfuB74rRFka3KEhRnpQhwOEHFg2rMDp8UEVRSCw2zGtGcHDocDi8WCxQKlpZCTA7GxZ052jUajaQhqiwgfCTxT/rsAT3gYlwuMbUihmiomE7RpY6wcAgNN5IWFYq62hDCVOckLC62s8gfGauPoUQgKMmqLaxqGhISEOtNOaDSnA3cR8i2V2ran/oFhrzgLY3vqmvLXVY84oK2ItJqkLMHBhmHcZhNKwsKZP3w4ZRYLxRZ/BNju7EyOalfD/S4w0FA2jZQ4tFWye/fuU47lWbZs2RmPJzrdh77nhj9qy3Tc0qjN5fYocBSgPLttloiUehrfWlAKoqNh924TSik29OzJzrPOIiwvn2NfBjEhdyr2OWB6wFUfm83GkZ0N7dqdcN3VaDSa5oRXhnAR2aMVxgn8/SEkBEJC2gBQFBzM/g7tOXBzO9arnkzY9ze++6LA7byiIiEv70SbSNMKCNJoNJra8DY1OkqpO4C7gS6AtXq/iLSqEDYjk62xXOjePZl+/VJZtWoR76ePJnT1UWa/4EOfQYZyqSAjIw2brYTu3VMJCFBYrcKiRYvw8/NrVpHYGo2m9eJ1cB/wJvAT4IcRl/Ef4BiwA3i+sQRsqlitirPP7sQ55xgKQylFv36p9H2gKx+fM4E9B/2ZNOnEeBGhtLSETZvS2bBhEfv3CwsXLiI9PZ2SkhK94tBoNM0Cb1caDwAvAS8AtwPTRGSdUioco6pfq4x7Tk1NYedOwelUmM1GJPill6YyfbritcsXMuTDj/hx+Ptc2l+hlKJv31QANm5MZ8uWdACSk5NJTU3VXkAajaZZ4G1wX2fge8BZfvgCiEge8CIwvlGka+KYzRAdrSgqOtGmlKJLFxg9aC+38m9W3vthZUBgVcVRQcUqRaPRaJoD3iqN44BJjD2UbAw33AoKMVxvWyXBwYaB22Zzbe8zfSy/+CfzWO5DvPF8PmBsUa1evchl3IIFi7DZ9NaURqNpHnirNDYAFfUzfwAeV0r1U0pdBDwLbK3PRZVS9yildimlSpRSGUqp/nWMv04ptV4pVayU2qOUmlif6zUmFS64NptrTXEfq4miV6YRxWHO+fdTpKcbCmPjxnSSkpK5/fanSUpKZvv2dL78chEOh1YcGo2m6eOt0pgBhJf//hQQBPwIrAbOwagd7hVKqVEYtcUnAxcAK4H/KaU6eBj/R+CjchmSgHuAB5VS47y9ZmPj5wfh4TXLvCZecyE/9riHu5nGtHFbcDoDSEpKpm/f1MqtqqSkZMxmPw4f1ltUGo2m6eOVIVxE5lb5/XelVHegHxAArBSRw/W45gRgtojMLH99n1LqCgx33sfcjL8FmC8i08pf71RKvQQ8opR6S5qI21FkJBw7ZuSlqlo/I/GDF3jijxfx3YFzSVhk4rnnpNKGccLGocjLM9KN6DQjGo2mKeOxcl+jXEwpX6AYuEFEPq3S/haQJCID3MyZB5SKyA1V2m4HZgIdRWR3tfF3AHcAREdH95ozZ85JyVpYWEhQUFC95jgcYLcbOaqq8ttvQdx//4XgcPLyqxvp2TPf7XynE3x9z1y0+Mncc3NH33PrQN9z/Rg4cGD9K/d52i7yhIhkejEsCjADB6u1HwQGe5izCJiqlBoCfIthW6nYDosFdleTYwbGVha9e/eWkw2aO5lSiSKQmWl8+FurhD927w7+C//LgPkPceXLaXy5oifBwUZ5yFWrFmG1+tGrVwo2m6EwOnSoqXhOB82t3GtDoO+5daDvueGo7aNpN7CrHkd9qL68UW7aKpgJvAF8CZRi2FEqlg9NqkpFhVG8tNTVKA4w5N5OdCCTv+Y+z6S+nxN5bQqrVi1i06Z09u79HRHBajUSGh46dGbk12g0mrqozabxZzx/kJ8shzE+6GOqtbel5uoDgHKbxSNKqcfL5x0CBpV3725g+U4ZPz+jyl9+vpHZtpKkJH7odTm3Z7zHe/lj+WBHJw5sMgL8CguPVg4LDDRqdvj5QWjoaRZeo9Fo6qC2LLezG/piIlKqlMoALgc+rdJ1OTCvjrkOYD+AUuoGYJWI5DS0jA1BRIRRP8NuNyr+gRGj8fOIS0nauJYZtr/w6KGXSD74ExJtrkyvXGEgDwoysuFarYby0Gg0mqbCGdg553VgjFLqdqVUV6XUVIzgwOkASqmXlFLfVQxWSkUppe4uH3t++fg/YaQ2aZIYkeKutcGVUrTvegE7epzFeWziE65n4vRXOG/9L5x1VjeXqHCTyVAY+/cbikej0WiaCl653Cql/lXHEBERr6r3ichcpVQk8CSGIXsjcKWI7CkfEgucXW3arcCrGLaPVUCKiKzx5npniuBg4zh+3IgYB/DLz6PXz+sACKQYBIZ+9Q2Lr7y2xnxfX0PpZGXp+hsajabp4G3Cwj9Q074RAQQD+eWH15THXEzz0Dem2uvDGDEhzY62bWHnTsObSimwbd2Aw2zGp8ryocTpR/aqXXBlzfkBAVBQALm5FanYNRqN5szibRGmRBHpWO0IBVIwclHV/KqswcfHUBxFRYZNY4/JUaOmeADF/PObYR7zTwUFGd5UBTVrOmk0Gs1p55RsGiLyPfB3jFobGjeEhRn2iZISoTAoiPnDh+NUCjGbcSoTPthpn7OPV15xP18pQ3EcOAAlJadXdo1Go6lOQxjCd2LkkNK4QSmIjYXSUoWfXwAbevZkf3w82W3aMPX++8iMaM/7jGbBO/v4/nv35zCbtWFco9E0DU5JaRaVfX0AACAASURBVCilLMAYYF+DSNNCsVqhbVsTI0c+RHh4WxxmMzarlWPh4Sy7ZyyBvmXMZRQP3VfqMbDP19f4mZVl2Eg0Go3mTOCt99RSN82+GBluI4G7GlKolkhFwJ+I4v3bbqtsP9ommoK/z+TXl38na6+F8ePhP/9xTSPidDoxmUz4+0NhIRw86CQ29kx4S2s0mtaOt588Jgx316pHAfA5MKhKxlqNR5wsXjyD/HzXwPe8vIN8bM/jwnmPER5h4oflDt5++0T//Pmz+eKLmTjLlxcBAU4++WQmM2fOPo2yazQajYG33lMpIjKw2vFHEblLRNIaWcYWQ37+EQBCQ6MZO/YpIiKiASgoOEJsLHx41w9soStzX97FTz8ZK4yyMhu5udmViuOLL2aSn59NcbGNwkK9T6XRaE4veo/jNGEymYiLi6Nt22iGDbsDu93E1VffQURENFFRcZhMJi4Y3o52vjl85BzF+Lts5OebaN++M1arP7m52bz33gvk5mZjtfrToUNnDhww1Sgzq9FoNI2J10pDKdVZKfW+Umq7Uqqo/OdspVSnumdrAMaMGcOdd95BfLyJkhJQylAcw4ePAcDRoSOFb8yiDz8xIXsi990n7N27E5vNtSSgzXacrKydWCyiPao0Gs1pxSuloZRKAX4BhmGkJp9W/nM4sEEpVaN4ksY9FQbtqCgj6M9UrXCGffjVZN/wIPfzJpFp81ixwn359DZt4rFajRTsBw5ojyqNRnN68Hal8RrwM5AgIreKyEQRuRVIBNaX92vqQUSEkQG3tLRmn3Pyyxw+O5k/8j/mzu3Mzp2JjJ41i9GzZlWO2blzIyKCv78R9HfwYM0aHhqNRtPQeKs0ugFTRKSwaqOIFABTgO4NLVhLx2SCuDiw2dx82Pv6UvbNYjbcPxMRE5999n9k2WOqzTe7pFI/dszIUaXRaDSNibdKYx9GXIY7fCmvc6GpH35+0KaNEXtRHQkOYcJDiqFd0rmneBpP5byAKnEQWJ6EKjHxXJfxFTmq8uuVOlKj0Wjqh7dZbqcAzymlVolIpYJQSsUDzwCTG0O41kB4uJGMsKSkZsElsxkej5/Mxdu+wlbmi+OgmfFTpzJ/+HCy28S7jFXKSMWenQ1msxAcfCKXetUCTxqNRnMqeLvSGICRBn2HUipNKTVXKZUG7ACCgBSl1Aflx/uNJGuLpCI3ld1e05itlKLwxhtxorBSSgDH8bHbGf7115wdGF5DEZhMsG1bGl9/vYjiYmPPS0RYtGgRaWlpp+mONBpNS8ZbpXEpRm3vLCAB6FP+MwtwAv2rHZp64OtrVPqrvk0lIhRsWU+Zr49LexkWCjesRaoZQ0QEu72E7dvT+eqrRdhshsJIT0+npKSkxniNRqOpL15tT4lIx8YWpLUTEmIojeJio/hSBXstClP1JUgZbCkJpG+1cyil6Ns3FRHYtCmdl19OByA5OZnU1FS9RaXRaE4ZHRHeRFDKWG3AiWA9EcEc36GyBodDKY4rK3fyDv9acLvbwk3r1i2nepFFp1NYvnx5I9+BRqNpDdQnIjxAKTVOKfWpUuo7pdQnSql7lFIBdc/WeIPFYrjhGpX+jMC/q6++g70DBrM/Pp6c6GhevethloZczpu7xvLvu1a5uOuKCDbbcTZtci2f/tNPayguPq63pzQazSnjbUR4DLAOeAPoDQQAFwH/BDKUUtGNJmErIyDAcMMtKjJef/PN+xw/XlRZg0OizYy5Zi6d+Z2HlqTy3VNp1c7gfguquFjpqHGNRnPKeLvSeAUIB/qX1wfvV27nuBQIw3DJ1TQQERFG4aaiIgd5eYex2Ypd+n0T83l9xOPsIYH/m3UlW99cAhg2jdzc7MrsuSfOF01OTjY5OUpHjWs0mlPCW6XxR+AxEVlRtVFEVgJPAkMbWrDWjMlkuOE6HKpyS+n9225zKd6U2O8gH96+jN/ozMUvDyf3o0WICA6HnSNHDrqkHTly5CBg5+hRISdHpxvRaDQnj7dKIwg44KFvX3m/pgHx9YX4eBOhoW0JC2vj0hcW1obw8Lbc80xbJg9exmKGcP8/ziI311Aa7nA47AQFCfn5cPiwVhwajebk8FZpbANu8dB3M7C1YcTRVCU4GK655laq/5lMJhNDh96KyQQvvh3BUz2+Im1/Z24fq4jeexCr1dU3wWoNwNfXislkIigIjhzReao0Gs3J4a3S+Btwg1LqW6XUn5VSf1RK3aaUWgTcCLzaeCK2Xk5U6jtIeHgMY8c+RWRkDEeOHKys5BcQALNmGdtZF62dxrWvPs85a1Zhdjiw2mwEFhRgsxUTGRlbnk7EyFN1+LChPDQajaY+eFvu9T/AXUAS8C7wDfAe0AO4S0Q+ajQJWzEmkwk/Pytt28aQmvoXnE4TV131FyIjY/DxsVbW4oiJgQ8+gE8DRrOcAVz13//Sbt8+og8eZPzUqZz3yy9kZ2dWnrciT9XBg1pxaDSa+uFtwkJEZIZS6l2gCxABHAG2iYh25GxExowZg9Pp5PhxE3v3QnCwoTiqF2/q1g1emx7A2Fvf5Xc6Y8KJEsFktzN8/nxmdE9ySVyolBGFnpNj/B4efibuTqPRNDdqXWkopcYopdYrpQqVUvswtqF2iMgKEdmiFcbpwWQyERhoVPsrLKxZ7a+CQYNM3Hr5Egqr+SU4zGbibPYa805kxhXy8k606yBAjUbjCY9KQyl1A/AvjEC+bzCSEz6IToN+xoiMNIL/jh933+90OklIOYrVZHNpNzsc5IWF4XQT3bduXRqbNi0iO1twOHRWXI1GUzu1rTQeAP4LdBWRUSJyEfAccK9SynwqFy1PP7JLKVWilMpQStWaGVcplaqUWqWUKlBKHVZKfamUOudUZGiOVKRRB/dlYk0mE1FJF7H4mpHY8CWfUIrx5/sL/0DbLj1rrDREhNLSEjZtSmfTpkWUlcFXX+msuBqNxjO1KY1zgJki4qjSNg2wAh1O9oJKqVHAVIwVywXASuB/Sim351RKdQS+BH4oHz8Y8AcWnKwMzRmLBeLjjTKx1RcOIsK2bT/zc1I39sXH8ajvZIawiIFrlhDz4qQaSqAiK25SUjKbNqWTl5fF+vXp9Oyps+JqNBr31KY0QjGM3VWpeH0qZtMJwGwRmVluF7kPY+vrbg/jewE+GBHpv4vIeuAl4GylVNQpyNFs8fMzVhyFhdRIWFhhZjJbhHHRb7Er7ixe5lF6//wjaub0GudSSpGcPMSlrXPnIRw5ohWGRqOpSV0utyalVOUBmN21l/fViVLKF0MJLK7WtRi42MO0tUAZcLtSyqyUCgZGAz+JyGFvrtsSCQkxbBwViQ3BUAAdO3arfB1kKuKmmz7iHxHjWcAfafP8eJwrVrqcZ+3aZXzxxUyXtqVLZ7J06TIdOa7RaGqgPO1bK6WcVC/MUN7lpl1EpE73XaVUHLAfGCAi31dpfxq4SUS6eJjXH/gUiMJQdD8DfxSRHDdj7wDuAIiOju41Z86cusRyS2FhIUFBTT87SlmZsU1VYa4oLi7E6XRSUnJCmxw7FsWUR5NYnN+fMJ8Cfv7PexBu3Ft+/mHs9jIsFh/8/PwoKSnBbi/DbPYhJCQKi8XYEmupNJe/c0Oi77l1cCr3PHDgwAwR6e2ur7aPg+dO6mreUV3puFNERoeRlv094APgY4xa5c8Dnyil/lDd7VdEZgAzAHr37i0pKSknJWBaWhonO/d0YrdDZqZhJLda4aeflrJtW4ZLZlyrdR8PPh/CrU98QY+CH8n5eChvvKkwmYyVRnb2No4cOcg555zD9u3biYiIJiGhC+edl0JhIYSFQdu2xjVaGs3l79yQ6HtuHTTWPXtUGiLSGErjMEat8Zhq7W2Bgx7m3AsUicjDFQ1KqZuBvRhbWj82gpzNhgrD+J49AA62bjUUhp9fADfeOIGPPnqdkpJilPqexz+awPXXJ1H0BbQzH+CRqXEopYiJSSjPhGsQE5OAUqoyjiM/31jNREefWNFoNJrWyWn9CBCRUiADuLxa1+UYXlTuCMBQNFWpeK0/wjBWGIZHlZnQ0Cj8/AIoKSnmX/+aREmJoUDCwqK48EIzs2bBhT4beHFeF5bd8A4lJcfZvHkNo2fN4g8vvADA5s1rsNlOVPoLDoaCAti/HxzV/xIajaZVcSY+dF8HxiilbldKdVVKTQXigOkASqmXlFLfVRn/DXChUuoZpVRnpdSFwCyMlUbG6Ra+qRIYaKwEUlJu44YbJrj03XjjBIYPN2pxXHIJPDCjGyvUpVz3w32ses39Ai8nZ7/L66Agw813374TNcw1Gk3r47QrDRGZixE4+CSwHqP635Uisqd8SCxwdpXxSzEy6Y7EMIAvwvCmukJEqvgOacLDISxMWLFiiUv7mjVLXGI0Bg0xk/P3j9hLeyamP8amJV1rnKuo6FiNtoCAEzaUsrKGl1+j0TR9zsj2johME5FEEbGKSK+qnlQiMkZEEquNnyMiF4pIkIi0EZHhIrL5tAvexBER1q9fxPbt6XTpkszttz9NUlIyGzems3r1IhfFMfhP4ax57L8EU8ADK/7Bx0dG4VNcTGBBAQCJiTUVCYC/v/Fzzx4oKWn0W9JoNE0MbRNoQSil8PPzo0+fZJKTUykpORHx7evrVyPC+7J7z2NW/79yHCvjC94kIDO7MpV6Ts4+j9fx8zMM8JmZUFzscZhGo2mBtGAP/NZJSkoKIoLdrsq3kQzF4SkliGmAcOmKlVidpYbTs53yVOrn1XodX1/DkyozE+LijGBDjUbT8vF6paGUildKva6UWquU2qmUSipvf0Apldx4Imrqi1IKHx9o185IbOhwuFcYIkLbouOIj2u/TXyN9jrCwS0Ww0B+4IBRzElHj2s0LR9v0390BzZg1Ak/ACQAvuXdCcD4RpFOc0pYrYbiKC527yqrlKKwTTTmap3+jhK+zeiDEXNZOyaT4ZKbk2McbrKvazSaFoS3K43XgC1AR+AaXD9NVgJ9G1guTQMREGDEcBQV1fxAV0pRGhHB/666BqdSOE0m7MqMAA9//wj/fnijV6uHiiqAR4/qWA6NpqXjrdK4FHhZRAqpme7jIDUjvDVNiOBgI4ajoMB1C8npdFJaauPnpG7sj48nv317/jHhAZ5OeR5/jnPOx8/y7LPebzsFBRnbYXv2uK/3odFomj/eGsJr23SIAjzUktM0FcLDjRXA4cMnjNZKKUpKDPcnh9lMWUAARcHBWFPsvBz5InO/HEHOu0B+Hk+/GoLZt+7aW/7+RhDgnj3GCicgoBFvSqPRnHa8XWmsAW7z0HcdsKJhxNE0JpGRhvIoD8UAIDDQvdvTuX9w8PrsCAKtdm77bCiH+gzFfijP7djqWK3GsXevkbdKo9G0HLxVGi8Aw5VSizGM4QIMVkq9D1wNvNhI8mkaEKWMbLUhIUYBJ6UUI0b8mYiIaJdxERHRjBjxZwYOVPz7YwtzrGNIOrQUc7+LsK/f6NW1LBYjtUl2Nhw8qA3kGk1LwSulISLLgaswDOH/wjCEvwz0B64SkfRGk1DToChl2DcCA6GwUEhPX8yRIwd5/7bbWPrUUwAcOXKQ9PTFiAjJyXDlF3cwIjgN0/Eioob3xTH3M6+uZTK5Gsh1ziqNpvnjdZyGiHwjIp0xaodfCnQVkbNE5H+NJp2mUTCZjHKx/v4KsBIZ6erHEBkZg4+PtTIgsEcPePzrixkWk8EvzvOwP/IE2XtsXl+vqoFcpx7RaJo33sZpPF1edY/yOt0rRWRbeV9seeU9TTPCUByC02kjNzebpKRkoqJiSUpKJjc3m7Iym0twX6dO8M78OG4/O40BZUsY/n9WfttQgsr3zs7h729sWe3ZA8eq5EKsHkBYV0ChRqM5s3i70ngGaOehL668X9PMsFgUhYXZhIfHcN55QwBITh5CZGQMhw9n10g9EhcHc7+wEt27AwcOwK7h9xM86CIs2zZ5dT0fH2Nb7MABw86xbFkaixadSKQoIixatIi0tLQGvU+NRtNweKs0agsNDge836vQNBlEhNjYGPLyslm/fjFOJ6SnLyY3N5uoqBi33/ojImDOHEhNhZlloynILiL8j8n4fTPPq2tW2Dny84VDh0pIT0+vVByLFi0iPT2dkpISveLQaJooHuM0lFIpwB+qNN2plBpWbZg/MBTw7qumpkmhlCI1NRWA9PT0yhrhSUnJtSY59PeHmTPhyScvofcHa5lnu5a+d/wfBfc9TsHE58FcdzxHcLAiNzcLX19/0tPTSU9PLz+3P1lZWR6vrdFoziy1BfcNwCiUBIaLrbs4jVJgM3B/A8ulOU1UKI6KD22Anj09K4wKzGaYPBk6dIhnwKTl/JNx3DT9n8j1d6ASE+q8rtPppKAgl9JS17jQ48ePk5ubi9PpxKQLkms0TQ6P/5Ui8pyImETEhLE91bfidZXDr7w40qrTJ7KmIanYFqrKunWLKC6ue3tIKbj7bnhjupX7fGfQtexXbn4igWNHBdP+vXXMVXTs2N1tX/fu3fVKQ6Npongbp2ESkTWNLYzm9FLVjpCcnExsbCzJycls2ZLOunWLKCryzq4wfDjM/URRFJlAWhp8PGA6bQZ0xW/B57XOq9ALo2fNYvSsWZXtOm+VRtN0qff6XynVVinVofrRGMJpGpeKSn/JycmVto3U1FSSk5OJivLDz095XZnvoovgm2+gSxd499AIfi5NIuIv1xI85Um3aW+Nmh9WrFZ/l3ZfX39sNiuHDikdRa7RNEG8SliolDIBk4A7gTAPw+q2fmqaHBWV/iq2gypsHEopHA7IyjJSjgQF1X2u9u3hyy/hnnviuWTpct5W9/LnN17EZ+PP5P3zQyT0xFvH6XSSmbkdm83VplFaepzs7O0cOZJCUZGJuDgjj5VGo2kaeLvSeAC4F6OuhgImYyiRXcAO4C+NIp3mtFDdflDx2mw2YjOMlCPenSs4GGbPhj/fZWWszORupmFK+w6VsbbGNSoy7AYGhhAbm0j37n0AsNmKCQ42ZNi9G/LydFVAjaap4K3SuA14HphS/vq/IvIM0BXYD+jtqRaKyWQojuDgmvU4PGE2w1NPwdSpilnWu0lw7mLkm4PJyQHz7h2AoTRCQiKIiIgmJCQCFPTtm1r5WimF1WoorJwc2LcPysoa+WY1Gk2deKs0zgLWiogDsGPEZyAiZcA/gD83jniapoBSEBNjBPZ5qzgA/u//4PPPgZhY1qyBp/6wgjb9uxA85UnE4SAqKoYjRw5y7NgRECqTJ1YNLKwoJ1taaqw6qqZ112g0px9vlcZRwK/89wNAlyp9FiCiIYXSND2UgjZtjNTqBQXepzo//3xYuBD69oXFeb15X0YT/MaLRI4ZQb+uyXTv3oeiomNkZe1m48Z0unfv4zaw0N8f/PyMbLlZWTpjrkZzpvBWafwMdCv/fRHwnFLqBqXUn4CXgHWNIZym6RERYWTILSz0vhZ4mzZG6pFbb7fyZ3mXe3gLy7LFBA/uQfDeTMwOB1abjcCCAkCxbt1yt+cxm40UJEVFxqrDWzuLRqNpOLxVGv8AKpwvnwGygQ+BuYAPMK7hRdM0VUJDoV07KC723s7g4wPPPQfTpineD7iHFFnG8YOlhL/9LvH79xN98CDjp07F9NEMbLbac08FBICvr2Hn0KsOjeb04m1w3xIReaf892ygD0ZdjfOBc0Tk18YTUdMUCQqChATD1mCrR7rKkSNhwQLI6XwJKc6lJP22CZMIJhF87HaGz5+PNS+3zvNYLK6rDm3r0GhOD97W07hVKRVZ8VoMfi9XFsFKqVsbTUJNk8XPz1AcInD8eN3jK+jcGb75RpFy/m5K8XHtNFsIz8/3Oo1IQIARx7F/v3FoDyuNpnHxdntqFnC2h76O5f2aVoivL3ToYPysj40hMBCefO9CAsyuyxSLrYSeu/bUa8+pwtZRUgK7dhnlZXVch0bTODREPY1ADDdcr1FK3aOU2qWUKlFKZSil+tcy9lmllHg42tbnuprGwWKB+HjDNfbYMe8+sEWEVbt+4esRV+JQZgoI5jh+pNOH4LdfJfLq/qjionrJ4e9vrDyysyEzs37bZhqNxjtqq6dxPnBhlabhSqmkasP8geuB37y9oFJqFDAVuAf4sfzn/5RS3UQk082UvwHTq7XNwdgly/H2uprGxWQyYjmsViMYLzCw9rIaSil8ff0ovekO7HuykeMOJnb7grfmxTKKOYzKWcFZRYG0Cai/HMHBhsLYtQuioiA8vKYsVVOnuHut0WjcU1vuqZGcKOMqwBMexuUCY+txzQnAbBGZWf76PqXUFcDdwGPVB4tIIVC58aGUag/0B26pxzU1pwGlDJdcHx/Dq8nX1zg80atXCk6nE6wvY7XC42/E0jPVycMPX8/cfdcTOQjefWAjqSue4ujkaTijY72WxWo1rn3kiLFdFRNjKDKAtLQ0SkpKKpM0VmT79fPzIyUl5RSegEbT8qlte+ofGPaKszC2p64pf131iAPaishX3lxMKeUL9AIWV+taDFzspcxjgXzAu/qimtNOcLBh53A4ajeQZ2SksXr1YuMrCcaHd3j4Yv7+95X07w+5ufDxU5swL1lImz+c53VJ2QqUMry8fHxg717DUG6zCSUlJ8rMArrMrEZTD5Q3/yRKqQTgQHnakJO/mFJxGLmqBojI91XanwZuEpEuHidTmW13NzBPRB70MOYO4A6A6OjoXnPmzDkpWQsLCwnyJrVrC6Ix7rmszIged1eELz//MHZ7GYNfnIzZbGb5s89TUlKExeJDSEgUX3zRjvfeO4uzyrYzx3IT59vXcWDw5Wy7937sgfWXsyKKvaSkgNJSG3Z7GVarFZvNho+PD1arleDg4FO846aPfm+3Dk7lngcOHJghIr3d9XmVGl1E9lT8rpSyYnzb74aRUmS2iByop0zVNZVy0+aOPwLtgXdrkXUGMAOgd+/ecrLbDWlpaa1uq6Ix7tnpNFYMubmudg4RYdWqhWzfvoZ+hUaQxa+//gxA9+59SEoawHnnKa67DsaPP5eLNqzmSSbx5HcvYj3vMmx/fdLTJeuQR/jhh0Vs324kMaioiw6QnJzMgAEDWrxtQ7+3WweNdc8et6eUUs8rpTZVa7MC6cCbGAbsScDPSqmOXl7vMOAAYqq1twUOejH/DmCliGyqc6SmSWAyGWlE4uKMCPKKqnxKKfr1u4Ju3fq4jO/WrQ/9+l1R+cHdpQvMnw/3T/DhBfNzXCRruPjziaxeDebftxl+tvWSR9G//xAiIlzfgjExMQwZMqTFKwyN5lSpzaYxGFhQre1eoAfwKhAK9AXKAK++9olIKZABXF6t63JgZW1zy7e2hgIzaxunaZqEhEBiorHyqKgGmJGRRnb2Ht6/7Tbev+02ALKz95CRkeYy18cHHnoIvv4ajp97Idv3WLnhWhvmoalEpvbCsvFnr+UQkfJsutku7dnZ2SxcuFjbNDSaOqhNaZwNVK8LfhWQBTwmIgXldcNfBQbV45qvA2OUUrcrpboqpaZiGNSnAyilXlJKfedm3p+BIuCTelxL04SwWo0I8oAAyM93smVLBkeOuC4wjxw5yNatGYZXVTV69ID//Q8efBCcFis3Fb5D3s48Iq9MJuiNyV4FBFaUmY2IiHZpDwuLpqjISm6u8joRo0bTGqlNaYRSZcuo3POpD7BMXL+O/QJ47QspInMxKgE+CawHLgWurGI3iaVa9Lky9gzGAh+KiJdVqzVNEbPZyJIbHe05CLC2L/u+vvDXvxr1yLPOS6WbcyOfOa4mZMoThI64DJV3pNbriwj79u3gyJGDdO/eh6ioWLp370N+/kEOHdrBkSNSGVWua5RrNDWpTWnsBxKrvE4GfKm5jeSDsQLwGhGZJiKJImIVkV5VPalEZIyIJFYbLyLSUUTuqc91NE0TpSAy0kSvXr0IC3P9xh8eHk3Xrr0wuXO3qkJSkrFdNe6pCMZY53AjH/Lt5jg+/CbM6w/7Ac88Qq+/PkDVhAeBgcaKKDv7RCJEvWOl0Zygtv/MH4AHlFJh5d/07wecwDfVxl0A7Gsk+TQtmMGDU+jUybVScGxsB3r1SvFqvsUCd90F3y1VZKXcyFVlnzHxERN3DtuP6ZabMOVk15ijlGLkyLF0755MUdExyspK2bQpne7dkxk5cixKKcxmI9bEYoEDB2DPnhN2GI2mtVOb0ngOY6VxECOY7lpgRlX323LGYKQD0Wi8RkRYuHAha9f+5NK+efNPrFq1sF4G6cRE+M9/YNo0w1PL/EsGoUs/J6hvEjLv8xrjlVL07TvEpa1v35qeUxaLoTzACA7MzKxfNl+NpiXiUWmIyC6MehlTgA+A0dW3h8o9mr5DZ7nVnAT79+8HjPiIp59+ml69kgHIzt5f7y0hpYxaHcuXQ5s/j6C3WsdWWyLx91/L0avHGEaKctauXcYXX7g64X3xxUzWrl3m9ty+vobycDgMxbF3r1YemtZLrcF95QkEn66l/wBwX0MLpWn5KKXo1KkT7dq1IzXVqAk+dGgqZjOI+FFYqPD3N9xt60NoKLzwAmwc1ZV7H13F0J9f4PE1k/ksJZTwD6bSvbuTzMzt5OZm4+Pji4+PL5GRMeTmGltZF144wKM9xWo1DpvN2LIKCjISIvr51U9GnSxR05zxKiJco2kMUlJSXD4wlVJccYWhQI4fN5IelpaeSDRYH5KSYN5XPnz22fMMe24o6TnncPSPcM+IAyQP7YxECGVlpVjKLOTmZhMREU2HDufUaYCHE8qjpMQwlgcFQWSkkZq9LqomS1RK6WSJmmaHt/U0NJpGofo37IrX/v5GTEdIiFGj42TqgJtMcN11MHV1MqPuDMdicnLblyO54M772f9NDHa7GZ/iYgILCoiO7lDvb/t+foZ8paXGtlVmpmEw9+xK7JossUJh6GSJmuaEXmlomixmsxHPERRkuMCWlhqBgfUlOBiefhpuusnE5+NfYNzPY5m06FoEfONJsAAAIABJREFUE05lYvzUqcwfvpO9g6/kwgvrn3vKz884bDbD3mG1Ggb5gADD1lKBUqoyHXt6ejrp6emAYdOpWHloNE0dvdLQNHkCAw0PqYrKgCdbB/zss+Hur67g3RueRAE+2LFKKT52O0O/+hprXu4pfdu3Wk94W+3bZxSBOnbMNUiwquKoQCsMTXNCKw1Ns6Bi1VFRp6Ow8OSC7kwmE0ntDlBmdbWwH3cEoF7bSdFzr2Pe766ApPdUeFtZLIZdZtcuyMsz5K7YkqpKxVaVRtMc0NtTmmZFQIBh6zhyxEi3XmGU9hYRwdK5G+ZqCaZ8KSU6by9d3p0B707kaPd+cN0ojg/7E86YuJOStSLOw+GAQ4cgJ0fYvHkRv/6aXrklVWHTAL3i0DQPakuNvrQeh7sEgxpNo2A2GzaDxETDZlBQUL88USVhEcwfPhynUjhNJsosFr66cjjTh/2Tbr6/8SgvsXPTcUKfeQDL4w9XzjMdOXzS8gYFQVCQ4vfft+LrG0D37pdTUqIYPPhyAgIC2Lp1q1YYmmZBbdtTJoykPBXHuUAKRpS4f/nPFKALVZP3aDSnCT8/Y9URHW14LXkbcLd79xY29OzJ/vh48tu3Z+r48Wzr043LLvuC9388m303PUofy890YSsDvn2Khx+G3OUbie4ZTeSowQR8OBN1JLfe8oo4EbFTWlrMf/87k927nUybNpPi4mLsdrvbzL4aTVOjtojwFBEZKCIDgakYdTP6ishZItJPRM4C+pW3Tz094mo0rigFYWHQsaOxdVVQULehPDDQsFY7zGbKAgIoKrdeBwYGExcHr7xiRJafd20XtkoXPvwQht8azpfdHse5J5Owh+8g5oKY/2/vzMOjrK4G/jszk8lkAxISkgiyGwREZY24AVqWKqCoLRasYDViaatWqv2wWrHa1i7iUmtVRNEqtbW1KFYFFJCiMSxqVUAii8iWPZBtsszM/f64M5nJZGGSTBbC/T3P+yTvve9yzxDumXvPRsJ138Z6YF8zxioMGDAcgJlLHyLq2wMpLtaJpHv3Hk5hodQWqTIYOiuhGsIfAO711s+oRSmVBSxBV/AzGDqMiAidcv3007UNoaktq169Tj9he//+8PjjsGEDzJoF37h7M+uLB+h2ZDeLp37M4dmLsB46gKdnEgCONa8T9drLiLd0bUOICOef33C1wgsvnMaxY8K+fdrzqql4D4OhIwlVaZwB5DfSlwcMDs9wDIbWER2tJ/xevfTEGzz5igiRkQ6GD687cQ8fPo7ISEc9u8LgwfDEE1p5XHUVeJTw0JqR9PvbQ3x3+E52fKNXKdErnyX+J9eRck4v4jOuxvHGP5CK+hUDlFLk5NTN+ZmTcwARRUyMDhasqdHxHvv2aa+rlroYGwxtQahKYz+woJG+BcDXYRmNwRAGLBaIj4eBA7X3Umlp3VLiSimOHq07cR89eqBJt9czzoA//Qk2bYJrr9XG7VWrYPJkuP56ePuW18n/92bK52Rg3/oBCT+cTfyC7/ofUFODx+Nh5cqlFBXlYnW7iayqIqa0lKKiXFauXFpr0/DFe9jtUFBA7eqjvNysPgwdT6gut/cDL4vIF8A/0enSk4Fr0AbyuW0zPIOh5dhs2kjevbt2eS0pgchInbCwqCi3XsJCEWkyYSFo28nDD8Mdd8DTT8PLL8N778F771kYOfICFi68gKn3PkLU1k212RYt+bn0mjgU5yWX0S/aQmTJcXofPoxYLNz2+OOsnj6dXaPH1HuX1erPu1VVpRWHzaZtOLGxzXM1NhjCRUhKQyn1iogUoJXHYnS1vhpgKzBVKWVcbg2dFocD+vTRW1W5uRZSUtJQCp69bi5paWkUZmfTs2dKyAkLAXr3hl/9Cm67DVasgOeeg08+gYwM6NfPyk03TWL2bIgBpLoK57RZRL39GrOPH0PhdTd0u4lwu5nx5pvEXDG3yXf74lE8Hh2jUlCgzxMStGKxWsPwQRkMIRByRLhS6l2l1AVod9sUIEopdaFRGIaTARE9uQ4YAFOmTGLKlJvq9F9xxU2MGTOp2c/t2RMWLYKtW3VK9r59ddr0e++FsWN12wHVl+MPLyfn01x23HALKmiGV7YIYhqoMtgQFouWIy5Oy5STA3v36gqDFRWmrrmh7Wl2GhGllEcplaeUMn+ehpMOEdi+fQMbNjxbp33VqmcbLcIUCtHR8IMfwObN8MwzMGaMrvv01FMwfrxegXywNYKswYNwB1cIrHSSsnI51r27m/XOiAi9TRUTo202Bw9qBZKfr8+D7R/BNhuTusTQEkJOIyIiA4HvAn2B4LIzSil1YzgHZjC0BR6Ph+zsbHJzc0hJSSElJZWiohIKCnJQCkaOnIDV2vKUbFYrXH65Pj75BJYvh9Wr4a234K23hNTUGygefoSffvYoCvBYrewbMICBO3dgmzgM51XXUXr7vbgHhO6QKOLPtOvxaNtNUZFWKj16aKWSmemv4wGYOh6GFhOS0hCRK4BX0SuTPKAq6BLzlcVwUmCxWEhLSwMgJyeHbt26UVCQQ3JyCn36pOF0WrBYdD2P1mb1GDlSu+vec482mL/0Ehw92pOfHV3Kkyzk+qgXqfhONPFDraRa7Vy99yAxL/yZqH+/TNGzr1E1ZWYL5PMXg3K7dX6uvDxFbm4lX36ZhdsNMTGO2pxX6enppnKgoVmEutJ4ENgIzFVKNRavYTCcFEyaNIkJEybwwAMP1LbdfHMGFouFmhodG1FcrFcN4VAeKSna7vHjHyvuuectNm8+i33fDGaJ81fwIvTpc5Dx43dy/q9vJW7BImKXPUL1eRMAiPjfNjw9k3D36dfs9/q9r4TzzpuKUrBtWxZpaWlkZ2czZoyp42FoPqGuwwcCfzQKw9AVUEqxdu3aOm1r165FKUVEhA4MHDhQB9qVlYUvOttm83DWWTv4wQ9WsCZ1MtfHrSAyspJDh07n1VenMno03Lk0lfcv/z2euO4AdP+/W+h14Rl0X7wQy5FDLX53RIRw0UV163gMGjSV/fuFoqKGbSAGQ0OEqjS+BHq25UAMhvYgsMRqeno6qamppKen1ynBCtRRHj166MC68vLWeSdZLBbi4noAkLngQgYuOsCiRUu54opVDBiQQ2mp8NJLMH06fOtbOg5kz+//TcX3biL6b8+SfMEgut3zEyw5R1okd2Zm3ToeX3yxBptNUVSkPb727dNGdKfTeGEZGidUpXEXcLfXGG4wnLSICA6Ho7aeBeg6Funp6Tgc9dOIRERAYqJWHj176gm1rEzbC1ry7r59zyA+Prm2zW6v4ZJLcnj00V2sXw8336xjL778UseBnH356Vx55ElWLvmK0lnziPnrU0S+v7aJt9RHKcXrry9nx44shg9PJzExleHD09mxI4s331xOVJQiLk7HfZSU6Frne/boAlLl5S2rz27ouoRq01iCXmnsEpGvgKKgfqWUmhDOgRkMbcXEiRPrGH99JVib2tu32fRk3r27VhoFBXoydThqA79PiFKK6urK2sy2PoqLcznttH6kpSnuu09YvBjefRdefVVHm7/7Lrz7bj+6dXuGGy5bzMW9T2ecB2L/+hdsB/ZStvAuPIm9mnx3eXlJ7RgCf/raoa4RXSmtIEu83VFRWnaHQ6c3MWaQU5dQVxpuYDfwITpxoTvoMItZw0lFsIII1RhsterJc+BAHRWulJ5YA3NbNYZSin37dgCQkJDMjTfeS0KCXnXs27ejdiK32+Gyy+D55+Hjj2HJEhgxQr/nsTcGcPVsG2PHwrZX9hCz7BF6nTeAuF//vMkiUb5nj73zh5x920J27txSpz0YnxtvXJw+lIK8PP82Vl6etvW0ZMVlOLkJSWkE1tZo7GjrgRoMnQkRHVjXr58+HA6dGLEpu4fFYqF790QSEpKZNetmLBYLs2bdTEJCMt27JzaYRiQxUQcGvvOOzrT74x/r9O85OTD5s4c507OTNyxXEvPkH0gcN4ColcvrPUMpRVRUTINjioqKCSnILyJCe2L5cl6Vlupgwj179HbWsWPGmH6q0PIoplYgIgtFZL+IVIrIdhG56ATXi4jcLiJfikiViBwVkYfaa7wGQ2OI6K2b007TKUri4/W2TmPFoGbMmF+rMIBaxTFjxvwTvistDRYvhsxMnWF3/nwoShzCrPKXOYsv+Kfzcm5d2p/f/Q6+zCzWM7n3HVdemUFkZHSd50VGRnPllRkh59vy4dvGClyF5Of7bSFHjmj5TUGprkmowX0Xn+gapdSmEJ81G13pbyGw2fvzbREZppT6ppHbHgamA3cCnwPdgdRQ3mcwtBd2u14ZJCRou0dRkZ48bTa9EvHtgAVP0s2dtEV0XquxY+H++7USWb16GD96+xWKjgKPQ7/HH2CMPMf7Y+7A+tNbKbN+RFVVRZ3nVFVVkJW1jvHjWxerERHht+sopTPylpXpc5tNr1BiYvQKJVT7j6HzEqohfCMnjvoONc/mHcAKpdQy7/lPRGQa8EN0Bt06iMgQ4CfA2UqpXQFdn4T4PoOhXbFYdIxHXJyeQI8d8xuUHQ49kYYLmw0uukgfv/kNfPghvPkmvPGfeQw4tp9ZW++jaM6jPBF5G+8NncSZZTu5WH1MTGkp5XFx5OYeDN9g0ArNl5EX9FZdWRkcO6YdD2w2vcUVFaVwOMQokZOQUP98G7JZ9ER/+58A/DiUh4iIHRgN/DGoay1wfiO3XQHsA6aJyH/QW2rvA3cqpfJCea/B0BH4jMkpKXoFUl6u03o4nfVXH+HAZoOLL9aH+7fnsG3bv3nghe2ct2YJv6xcwsWfvsc4tlFTGMGPl/6Zp0YuIOeypDZNI2KxwM6dG6mqqmT8+Kl4PEJJieLdd9dgtzsYNWpi7UrEbtcrEeOZ1bmR1ma6FJFHgEil1MIQrj0NOAxMCNzOEpFfolOUDGngnqeA+cD/0NtTCr/SGR+cbVdEbgZuBkhOTh79yiuvtEQsysrKiI2NbdG9JytG5vZBKe115PM8EmnbiVIpOPa3zVz54gPYPX5DQzURjCOLyiGDGDeukLFji0hLK6WZu2Un5NixAlyuGhyOGGJju1FWVkJlZTk2WwQ9eiSiVF0DusXiP8L1uZi/7eYxadKk7Uqp+pXBaEaW2yb4D/AK2jYRKsGaShpo82EBIoHvK6WyAUTk+2gX4LFAVp0HK/UM8AzAmDFjVEszeG7cuPGUy/5pZG5f3G696igq0j8tFr36CHdBJaUU2Wd8gidC6qQatVPDp4xi++5RvLl7Onf/9WfYE+KYOBEmTNBHUlLr352Z+Q7Z2Vvq9Q0fPo5hwybUWeUopQ3oLpffC83h0CuRqCi9GrHZmq9MzN92+AiH0hhC6HEaBei4jpSg9l7oErINcRRw+RSGl68AFzpNe1aDdxkMnRyrVe/vx8bqibK8XCdKrKjQfQ4HYfnWLyJU9+6LNcgX2GWzkT1jNn2++JpFB55gRdI9fH0Y5LV/8u5rdhZzKQOGx9RueY0d6w/+a8677XYHCQnJFBX5/4snJCRjt9ePwA+2iYBWIMePa+WqlD+RZGysViJ2u6lc2J6E6j11fQPNduAs4EbgtVCeo5SqFpHtwGR0qnUfk4F/NXLbB4BNRAYppfZ62wZ6x34glPcaDJ0d3+TXo4ff++jYMf1t26dAWrpVo5SiLDaG1dOnc+WqVSCC22Jh9YwZqLnXcd55UymtdLLZEcGePTB4zu/ofWQbThys33EJb+6Yzp1/mU5+5OmMGQMXXggXXADnnHNio74vCj5QYQAUFeWSmtovJHuKzVb3PR6PVrJ5efp3Ed0fHa0Pn23EKJK2IdSVxopG2quAvwO3NeOdS4G/isgWtEK4BTgNeApARH4LjFNKXeq9/l3gY+A5Ebnd2/YoeoWxrRnvNRg6PYEFlXr21AFzpaX6m7bH0zIDuvZasrNr3HgOb91KjNXKc9dcgysxmaE2OyKCiopGgDPOAD74gIKs/xLxzmomvLWay/PeYkb3/3L58ZV88AGUf/AJv+ccYmItjBsH55+vqxOedVbDSiQvT2fnnff88wC8cMMNddqbi8VSfzXidusVWmkptTaSiAi9IomO1ucuV3g9105VQv0IBzTQVqmUamxLqVGUUn8XkZ7APehYiy+Ay5RSvlVDKjAo4HqPiEwHHgc2AU5gHXCHKTlr6Mr4AgejorT3VWWldt0tLfUrkMjIE29heTwedu/+mKqqCtxWKzXR0ZTHxUFVBbt3f8zo0RPrxorY7VRfdCnVF10KDz5CxZ4vGaMUnyfCF69lc+19o8i3JvNG2eW8uX46j6yfzIPEEhurt7DGjYP0dL0SsdsVxcUNV1QoLs4Pm+eW1Vp/ZeGzGfkCDffu9W9tRUfrz85m63oeW8Gfabi940JSGgETelhQSj0JPNlI3/wG2o4C3wnnGAyGkwmLxb/90quXViBlZf4ViNWqJ8GGtmREhJiY7jid5fX6YmK6Nz2hiOA6YygACcCEa1MpTniJ2HWrmbf+X9xY9hw1Fjvze73NypxL2LjBw4YNWgFFRsLZZwvdu19OYuJOitzxJFiLax/do0dSmxaAslpBxIPDoasxxsWBy+WhutpSL/17ZKRfQUdE1N8SawltPXk3xMaNbV/Wt1kfi/cb/wT0308h8L5S6j9hGYnBYAiJQAWSlKQVSHm5XoU4nfqaxqKvX7jhBl3uNju7fmcIqNg4nFfNxXnVXKipwb5lM451q/njbeeyqAqcv3mUvutX8LZlOisKZ5C1dRwezgHOYQOTuMD6X479I57ogZVMmNADl6vtosRXr15BTU0VV16ZAegV1xtvLCMiIrJO2hafC3RpaW3mlVqDu0+Z+IIyQ1UmgZO3iLRLTXalFJWVlWRlad8gh6NtyvqGagiPA94ELkJ7LRWig/sWich/gelKqbJWj8ZgMDSLwC2snj31NkxFhV6BlJbq/jYzCEdEUH3BJKov0LG/KYBjSl9ijvQkY8vvuZnfUhmXxMZuF7Km8iJ+XfgLqt0R2HfWsGDn09z55nTuu09vY517rv/o3bv120Uej4eamioKC3NYtWoZQ4YMYdWqZRQW5tCzZwoej6d2S85nSA9WBj47iM9zy9dmtWpje0PKRKT+5D116tR2qckuIhw9epTo6GiysvxlfaOjozl69GjY3hnqSuM3wCjg+8ArSim3iFiBa4G/ePtvDcuIDAZDiwh0V42P1xNeZaWe9BIS+lBQUL/iX3Jyn7COoXL6NVROvwY5Vkzk+2twrH2DM3Zu59Lc1UTgIhq9FFouN3I4tjcbSieRmSlkZvqf0bOnViTnnANnn63TwqekNE+RWCwW+vZNo7y8hMLCHAoKulFYmIPDEU3fvmkh5fsSqZtXy4dPmZSU6JWJz/Duu97hEMaNm0p1tSIrK6tWeYwbN65Na7J7PB4KCwupqKibY6yiooLCwsI6irI1hKo0rgbuUUq97GtQSrmBl0UkEV3ZzygNg6ET4cvzFBMDZWWHG7wmJ+dwrU0knKge8VRecS0VM77Lfx9YyLUHDhARUALQrmpYX3opNYmp/O+S21nZ+y4++QR2flJFXmEk69fD+vX+5yUlae+s4cP1z7PO0inpG5sDlVLU1FRRWVl3Aq2srKCmpqpV3/YbUyagt7kqK2HVqheoqqpbZCU7+wAHD77Ad74zvza2xGbz2V5aNJSgcQnDhg1j69at9fqGDRvW7iuNnsDORvp2YuqHGwydFhFh8OBBuN0ucnP9Do+Jicn06zeIqirB7fZPhuGszCciqP6DsQZVa3JZrWy9bDrn2GIZPDaBn80BS2E+yaN7Uz70XPanjGeLdTxvFY/nva/6kp8vbNiga4r4iImBYcP0MXSo/nnmmbrd52Zstdpwu/3Kymq1YfO6GbcFPuO7y1XJ8eN1nUuPHcsFksnP9wCW2tWJb3vMbvdXRvQpk4a8wprCJ9e8558nKjqa7Nmz67SHg1CVxn50csJ1DfRd5u03GAydEKUUVVVV5Obm1tZCj4+PJysri0GD+jNwoMLlklqPLF8hKYvFP5m1dM4RESZ//w7W7/yCyS+/iAI8Vivrr53L8N8+x7HApYLHQ9nNd2D/+COGf/QsI5yPcyNQ9OgLZKdfz1cf5lOUuZt38kfz6e4ocnJg61Z9BNKvHwwZoqiqspOYeCY3ffgMw7q9Rvb3rsLtdvH555mMGjUBaxsZe0QEi6XhZ9tsVmJipN7n6XZre1RlZd1qiD4bik+ZB0bA+xSLL0eXiBAZGUl0dN26KdHR0URGRrb7SuNp4GERiQVeRqf2SEHbNG5Cpzs3GAydEBHB4XCQnp7O1KlTef/992tdMh0OBxaL1E5G3br58z/5lEhFhT+hoG9bJtStcaUUH320hh2DBzCsd29sLhcvz51LeVwcpR+tYfz4abWTmScpmdK7vbXVamqI+PJzIrZnUnP+RPr2hiGZbxL/zx9wq81GzfBzKZk0nuye41kfM4NP98Syc6cuAnXgABw4IMCFAPyLq7EedRH/RDFJSfmkph6nRw8LaWkwaFDzU6OEQuA3fvAHNDY2cTe1ovB5d1VWNlxi12/I97BzZ3aDNo3s7GwmTpzYfjYNpdQjIpIE/BSdcRZ0ksEq4CGl1GOtHonBYGgzJk6cWGcfX0QaNcoGGtS7d/crkaoqvQoJLGnr8yRq6kv7/v26DI7basVtterAQm/7+PHTGr4pIoKaEaOoGTGqtqlyyhUUPv869u2Z2LdnkrBqOec7/8TAT3PwJMXiWPM6kr2b/Snj2apGs2rNbr7+2kHsV6VEuGvYVzCIXQXD2LXLby8RgT59YPBgXfd94ECtSAYN0sb3lsyxIkJFRan+fNxubC5Xbf2SiorSZn/jb8y7KxC3G1wu4fhxHQcTFdWNCJuFsWPHsnXrVoqLi9t3pSEi3YFfAX8AzkPHaRQBHymlipu612AwdA7qJwcMbRIJVCK+lUhNjd+917caAT3J+lYjPvfT6mptEH7jjp9z1VULiH/taYqL86iurmyWQVrFJ1A1ZSZVU2bqBpcLW/ZOPEnJAERueIeYvz5FPDDSZuPK03pz3B7BYM9esAhusfC3M6/lvYTZeKznkP11JNkHozh4MI6DB+vaS0CvQPr312V8Bw7UP/v310dycuNbdjU1NVRUlDLif/+j92HtgHDbY4+xesYMvjj3XGpqaogIc3CKb5sqPj6J/PzDtcrO99kmtTZdcQAnVBoiYkPHZcxSSq0G3g7b2w0Gw0mHiH9vPTZWR6gH7slXVPi3tDweoVu3JIqKjlBcnMfy5Q/UPqfVEeE2G65hZ9eeHn/oL5T+7H4iPv4I+/ZMrGtfZ/BXX2Lx+sRa8HD9jpe4npdq76kcdxFb/rCJPXvg8p8PJ75oL9XYqVJ2qp0RrN01hfm7XgDgLb5NAkWUYyfbYscaZSf7tElsmXgX/frBNRt+RFy0ix497Fy97zPOzNys3w1YXC5mvv468VFxxG5ah4qOQUXH4E7pjSc51V8nNzKyxQYkEeGKK24kM/MdKkueJcZqZcd77zHu0kuZNm1a+600lFIuEclFpzQ3GAyGevhyOkVF6RgR32qkpkb43vdu4r333uHLL/01NdLSxnm3psLrxeRJ7EXVlJlUTp7BRlXO1Qf24ajyFxGpttnYNmESQ6d+B6mpwZOUzODBenvKcTCDqvwcpLoaR001lvIaxsQP508j4OuvwfFqL1zFoJzV2FzV2MvLyPmqhGVf6WdfxXrgODVU0x8nlqCKETaPh0krX4SVL9a2ld3yM0ru/QNSVkrqmd1RFotWKDGxqKgYym6+g4p5P0SKCulxVwYqKqZW4ajoGCovvZyaUelIaQmRG9egomOYvGUzcYcOgcXCbY89hnXEiA7xnnoJbfB+K2xvNhgMXZbA1Uh0NHTvXnfScji0B1Ggkd3nrWWzhaeOyPGEhHquvgJ8ev759JtzU72JtDzjdoKJB67yndzxQm17SYk2uPc6AHcf0L8v+GYXBw/CoUPQ05XDPgbWBjMCOHEwjXdwEkVqXDmnx5dR89kAau6Bfkk2ps74NfH2crrZyomlHGtVee3Wm1Q6se3/CqkoR8rLkIpyLM4K3EnJ1IxKx/rNfhJu+W7dwXs8WDweXBkZZMbGcsHVV7f0o6xDqErja2COiGwFXkd7T9WptKeUei4sIzIYDF0GX84lX1S0j88+yyIqCqZMmYrLJXVsJE4ntXEj4Hc5bU4QnFIKd1IKq2fMqFdDxJ2U0upUHt266Uj1ESPq91VVufjzn1/lpay53LB5BW6JADz8oueDfOEZQVlZPFtLBUqBb4APAaJZwt11npOUBCl7IfVVSEnpQ8rMz0lJ0faU5GRITvIQ30MhgGvQEHLW/Y9tT9zHlLf+g72mpvY5LouFPevWMX7WrHaNCP+z92dvYHQD/QowSsNgMNTj0CFdN2PcuHFMmzaNd955hy1btnDo0KE6K5KYGL21BTpNh8ult7icTn1UVPiLLoF/VdKQMrFYLFRVOdkxchRjA2qIOLv3IKrKGZbJszEiI22kpLjIm9qfnK9Tat2ME3pUstjxAtde+1Py8+HIETh8WB9Hj+rzI0cgJwdycyE/Xx+ff97YmyzY7Vq59OrloFevEVjzF/Itd12zs9XtprxXr7DJ15p6GgaDwdAkOhp9ML179641xk6bpt1so6KiGv2271MIDodOaQ7+nE8ul9/o7jO8B+Z/8kVl2+1RlJeX8NxNN5GWlkZ5djZ43ERGRoUtD1NjzJnzU6qrq3E/u6zWzXjedXdit9sB/2ph5MiG73e5dGXCnBx9HD2qFYnvPC9Pn5eU+BWP3nybTAbLeJoFVGMn2lbOf+fO5ZYlS8Imb4fU0zAYDKcODcWItMSbJzDnU1SUjiGBusrEl6TR6RSSkvpRXFy/TlyvXv0ItwE+mDfeeJ7jxwuo9Ab1Afz974/RvXsiM2fe0MSdGpsNTjtNH03hdGoF4lMieXmKTz4Zz+13TXYmAAAQEElEQVTvLCVWVXPawm8YfumlHWIIr0VEgtWVUkqpBi82GAwGWh4jEtqz6yYQjIvTiqS8vOEkjQUFh3E6/QZ4H76o7NYa4t1ut1YYlRU4HNHMmXMHK1cu9SZPLMDtdocthUlUlE6b0q+ftuO8/vpyzj77MPO269xTT8XNZsuWLRw+fJgbb7yxbetpiEgKsBz4u1LqRW+bFagOurRMRNJaUvrVYDAY2gIRYdCgQRQVFeF0+j2YoqKiGDZsEGecId4oam109xniq6r0T5fLv92ln6cVSShKxWq1MnToGHbt2kZlZQXPPfcgAA5HNEOHjmmznFcej4eiIj0NWyxWImx2oqKicDqd5Obm4vF4wvLuplYaC9E1NK4JahdgGXDE+/ts4Bbg/laPxmAwGMKAx+MhOzsbp9NJSkoKqamplJSUkJOTQ3Z2NhMmTMBqtTSZ78mnUHzKpaqqrlIJxheVbbXCqFGTGDny4lqFATBnzh1tpjD0+60kJp7GsWP5eDxualzVOJ1OoqKiSEpKCtu7m1Ia04BlSilnULsCnlZKfQwgIvnA9RilYTAYOgkWi4XIyEhSUlLIyMhg06ZNZGRksGzZMiIjI09oFG6qZgb4kwgGHtXV/qOiwsPbbz9b557XXnuWb387A5vNUqtcfBlqw8XMmTfgdrt5rspZW9Z30aJFYVVWTSmNIcAvG2gPFjHbe63BYDB0GubPn1/HS8pisZCRkREWL6Kmkgh6PB6WLVvGsWM5JCenMG9eBitWLCMvL4d165Zx1VUZeDwWqqu1svF4/FthgTU2LBb/4VMwJ0IpxZYtdStYrFu3LqwVA5tSGg6gTt1vb5nXVKAgoLnSe63BYDB0KoIVRFu62Qa+I3CVY7FYWLDAv8pJTa07Bo/HrzwCf/q2wXz2Ft+WWKCtxf9OAMXHH69h164shg9PJy7OQXp6fJ1a5W1qCAfygIHA5sDGBgzeA4D8Vo/EYDAYugjNWeX4VhOhEKhYAg+tXHTdlKFD0xk5cip7977P5Mn+uintsdLYDHwfeLGJa0DbMz4Iy2gMBoOhi9AWq5wTKZiZMyd6lZVw8CBYLMKUKVPCusJq6kmPA5eIyB+96dHrICI2EVkKTARMESaDwWDoYDZu3MjatWvxhc4ppVi7di0bN24M2zsaXWkopTJF5C7g98B1IrIOnV4LoC8wGUgEFiulMsM2IoPBYDA0G6UUlZWVtTYMh8NRmywyPT291UkafTQZEa6UelhEPgZ+DlyN3+BdCWwCfq+UWt/qURgMBoOhVfhK+AJkZWWRlpZGdnZ2bW349izCtAHY4I0G74l2uS1QSpmiTAaDwdCJ8CmOwFT04VQY0LRNow5KKbdSKk8plWsUhsFgMHQ+fPVLAlmzZg3hTA/Y9k7LDSAiC0Vkv4hUish2EbmoiWv7i4hq4JjWnmM2GAyGzkxgwav09HRSU1NJT08nKysrrIqj3ZWGiMxGe1v9BhiJrlv1toj0PcGt04DUgMPYUgwGg8GLiI7T8NkwQG9Npaent1ucRltxB7BCKbXMe/4T76rhh8DiJu4rVErltPnoDAaD4SSlodolHWbTCAciYkeXi10b1LUWOP8Et78mInki8oGIBGfeNRgMBgNtW7sEQNqzfpKInAYcBiYopTYFtP8SmKuUqpf4UEQSgXnoqHMXMBP4BTBPKfVSA9ffDNwMkJycPPqVV15p0VjLysqIjY1t0b0nK0bmUwMj86lBa2SeNGnSdqXUmAY7lVLtdgCnoVOrXxTUfh/wZTOe8yTw2YmuGz16tGopGzZsaPG9JytG5lMDI/OpQWtkBrapRubV9jaEFwBuICWovRfQnMp/WcAZ4RqUwWAwGEKjXZWGUqoa2I5OQRLIZLQXVaicCxwN17gMBoPBEBod4T21FPiriGxB2yluQW9bPQUgIr8FximlLvWezwNqgE8ADzAD+BE6tUmTbN++vUBEDrRwnInUrRtyKmBkPjUwMp8atEbmfo11tLvSUEr9XUR6Aveg4y2+AC5TSvkm91RgUNBt96CFcKMrBf5ANWAEb+BdSS0dp4hsU40ZgrooRuZTAyPzqUFbydwRKw2UUk+ijdkN9c0POn8BeKEdhmUwGAyGE9AhaUQMBoPBcHJilEbjPNPRA+gAjMynBkbmU4M2kbldg/sMBoPBcHJjVhoGg8FgCBmjNAwGg8EQMkZpGAwGgyFkjNIIojkFojo7InKxiLwhIoe9havmB/WLiCwRkSMi4hSRjSIyPOiaSBH5k4gUiEi593l92lWQZiAii0Vkq4iUiEi+iKwWkbOCrulScovIj0TkM6/MJSKSKSKXB/R3KXmDEZG7vX/fTwS0dTmZvfIEF6PLCehvF5mN0ghAWl4gqrMSiw6evA1wNtB/F7AI+AkwFsgD1olIXMA1jwJXA98DLgK6AW+KrhnfGZmIjgE6H7gEnRn5XRFJCLimq8l9CJ0hYRQwBl2gbJWInO3t72ry1iIi5wEZwGdBXV1V5t3ULUY3IqCvfWRuLJPhqXigEyEuC2r7CvhtR48tDLKVAfMDzgWdv+sXAW1RQCmwwHveHahGp633XXM6Op3L1I6WKUS5Y9GZBGacYnIXAQu6srzece9FfznYCDzRlf+NgSXAF430tZvMZqXhRVpXIOpkZAA623CtvEopJ7AJv7yjgYigaw4Cuzh5PpM49Iq62HvepeUWEauIXItWlh/SteV9BvinUiq49HNXlnmgd7t5v4i8IiIDve3tJrNRGn4SASv1U7TnUj+Ve1fAJ1NT8qagv6UHJz07mT6Tx4BPgUzveZeUW0RGiEgZUIVO/jlLKfU5XVfeDGAwcG8D3V1SZvROyHzg2+gtuRTgQ9G5/NpN5g7JPdXJCY52lAbauhItkfek+ExEZClwIXChUsod1N3V5N6NLhnQA71n/YKITAzo7zLyisgQtN3xIqXLLTRGl5EZQCn1duC5iHwE7ENXNv3Id1nQbWGX2aw0/ISrQNTJgs/roil5c9Crr8QmrumUiMgjaGPfJUqpfQFdXVJupVS1UmqPUmqbUmoxenX1U7qmvOPRY/1CRFwi4gImAAu9vxd6r+tKMtdDKVUG7EAXpGu3f2ejNLyo8BWIOlnYj/4jqpVXRBxojwqfvNvRtUwCr+kDDKUTfyYi8hgwB60wvgzq7rJyB2EBIuma8q5Cew2dG3BsA17x/p5N15O5Hl6ZzkQbwNvv37mjPQI60wHMRnsX3OT9IB9Dex316+ixtVCeWPz/qSqAX3p/7+vt/zlQAlwFnIX+T3cEiAt4xl+Aw8C30G7IG9DfYq0dLV8jMv/ZK9Ml6G9dviM24JouJTfwkHdy6I+eTH+L9oj5dleUt5HPYCNe76muKjPwR/SKagCQDrzplbFfe8rc4R9EZzuAhcDXaIPiduDijh5TK2SZiN6rDD5WePsF7cZ3FKgE3gfOCnqGA/gTeslfAawGTu9o2ZqQuSF5FbAk4JouJTewAjjg/ZvNA94lwIWyq8nbyGcQrDS6nMwBSqDaO/H/CxjW3jKbLLcGg8FgCBlj0zAYDAZDyBilYTAYDIaQMUrDYDAYDCFjlIbBYDAYQsYoDYPBYDCEjFEaBoPBYAgZozQMnRYRGS8i//AWlakWkUIRWSci83z5/0VkvrcYTf+A+74WkRVBz5ohIp+LLq6lRKSHiFhE5FEROSoiHhFZ1Yay9JcGCmE1cJ1PnsFtNZaWIiJXisgdDbRP9I75Wx0xLkP7YhIWGjolInI7sBRdUOjn6OC1eGAKOqr1GPB6I7fPQkfG+p5lA15Gp0r4ETo4qhS4Bl2gahE6C25hvScZArkSHUm8tKMHYug4jNIwdDpE5GL0xPSEUurWoO7XvdlrYxq7Xyn1SVBTb3RdjX8opTYFvGeo99dHlVKeMIw7UilV1drnGAydGbM9ZeiM/B+68txdDXUqpfYqpYLLe9YSuD0lIkvQaWEAlnu3UTaKyNfolAsA7sCtIxFJFZEXvXWUq0TX374u6B2+baSLReRVETmGrneAiESLyJPe7bQyEXkDCGvtaRHJEJH/ebfbCkRkeVBJW7zje1BEbvUW7SkVkfelft1oq/e6oyJSISLrReRM7/1LvNesQKfg7i3++tRfBw0rWkSe8I4nX0ReEpEe4ZTb0PGYlYahU+G1VUwEVimlKsPwyGfRddJfBR4E/oPeuooEbkUXtRnvvXaviMSgc/bEA3cDB4HrgL+KSLRS6pmg578M/A291eX7//Q0Ovnl/cBWdFbRlWGQBQAReQi9pfY4cCd6JfUgcJaInK/q1g65Dl1r4zbADvwBvVo7Uynl8l5zv1fWP6DzVo0C3gh67QNAErr29ExvW/Cq6jF0Er05wBDg9+hyA/NaI6+hc2GUhqGzkYiubXwgHA9TSh0SkU+9p3uVUr5iNYjIYe81gW0/RtcnmKSU2uhtfltEkoEHRWR50KT8T6XUXQH3D0FPmr9QSj3kbV4rIrHALa2Vx2vwvxO4Xyn1q4D2bGAzMAOdOtxHDTBdKVXjvQ60Ah2HrvoWD9wOPKWU+rn3nnUiUgM87HuIUmqviOQD1YGfVxCblFI/8f6+1vtZ3CQi85VJctdlMNtTBkNdLgYOBygMHy+hv2kPC2r/d9B5Ovr/1T+C2l8J0/gme5//sojYfAd6a6wEPf5A1vkUhpfPvT/7en+OQNuHXg26758tGNt/gs4/R6/oklvwLEMnxaw0DJ2NQsAJ9Oug9yegU0sHkxPQH0jwtanenw3Vag4Hvbw/9zTS3zPovCjo3Lel5PD+9I03L+i6loz3RO8ydAGM0jB0KpRSLhHZCEzuIG+kIvR+fDC+MprBbrnB2y4+JZKMrt9MwHk48L1/ClDcRH+o+MbbC1061IdZHRgaxGxPGTojD6G/Mf+hoU4RGSAiZ7fRu98H+ojIBUHtc9Dfxned4P4sdNW87wa1Xxue4bHO+/y+StcDDz72N/N5nwPlwHeC2oPPQa8copo/ZENXwqw0DJ0OpdQmb+TxUm8sxQrgG7RH06XocrxzgEbdblvBCrSn0Wsi8gvgEDAXbUtYEGQEb2jsu0VkJfArEbHg9566rJnjmCYiOUFtx5VS60Tkd8ATXkPz++gqbad73/OsUmpDqC9RShWLyKPA3SJSit976kbvJYHxKzuBBBH5Ibomd6VS6nMMpxRGaRg6JUqpR0VkC/BTdG3kRHQU9zZgAbpMZVu8t1xEJqDdRR9CBwXuBr6vlHopxMcsQNeW/xnazXU9WsltbsZQ/tRA2w50+c67RWQXOrr9R+gtsoPAe8BXzXiHj/vQpUJvRLshZ6FdkT8Ajgdc9yxwHvAboAfaw61/C95nOIkx5V4NBkM9ROQ7aA+wi5VS/+3o8Rg6D0ZpGAynOCKSDlyOXmFUAqPRUfm7gfNNjIUhELM9ZTAYytDxHT8CuqEN/v8AFhuFYQjGrDQMBoPBEDLG5dZgMBgMIWOUhsFgMBhCxigNg8FgMISMURoGg8FgCBmjNAwGg8EQMv8PXdPfOBFhEIIAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -276,7 +421,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -285,103 +430,108 @@ "text": [ "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: a73682b3-67ed-46b5-a923-b0f1064c983b\n", + "Experiment ID: ba4e4b75-3802-424e-8d5c-3e7928fa9c95\n", "Status: COMPLETE\n", "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.4643507 0.99406865 0.52152326]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01182219 0.0004679 0.01284652]\n", - "- pcov: [[ 1.39764110e-04 4.23759001e-06 -1.44437570e-04]\n", - " [ 4.23759001e-06 2.18934581e-07 -5.30418292e-06]\n", - " [-1.44437570e-04 -5.30418292e-06 1.65033047e-04]]\n", - "- reduced_chisq: 0.12432972252004643\n", + "- popt: [0.45163202 0.99592734 0.53346007]\n", + "- popt_keys: None\n", + "- popt_err: [2.76362095e-04 4.69836111e-06 2.81882215e-04]\n", + "- pcov: [[ 7.63760076e-08 1.21900813e-09 -7.74978656e-08]\n", + " [ 1.21900813e-09 2.20745971e-11 -1.26382118e-09]\n", + " [-7.74978656e-08 -1.26382118e-09 7.94575830e-08]]\n", + "- reduced_chisq: 121.7024893164993\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.0029656752730862213\n", - "- EPC_err: 0.00023534816076118423 \n", + "- EPC: 0.002036328730827597\n", + "- EPC_err: 2.358787086606496e-06\n", + "- plabels: ['A', 'alpha', 'B'] \n", "\n", "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: 371ded70-6ecd-48a6-b2ec-14ff17dc3296\n", + "Experiment ID: 93c7220c-dbd1-43a8-bb60-e8bcd8b6fbfa\n", "Status: COMPLETE\n", "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.46767604 0.99534127 0.52400597]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01478486 0.00029627 0.01502779]\n", - "- pcov: [[ 2.18592160e-04 3.87322157e-06 -2.20050040e-04]\n", - " [ 3.87322157e-06 8.77776328e-08 -4.06104245e-06]\n", - " [-2.20050040e-04 -4.06104245e-06 2.25834593e-04]]\n", - "- reduced_chisq: 0.036236504362290464\n", + "- popt: [0.47169909 0.99688744 0.51927115]\n", + "- popt_keys: None\n", + "- popt_err: [3.22156128e-04 3.36318925e-06 3.23899863e-04]\n", + "- pcov: [[ 1.03784571e-07 1.05691293e-09 -1.04281971e-07]\n", + " [ 1.05691293e-09 1.13110419e-11 -1.06516581e-09]\n", + " [-1.04281971e-07 -1.06516581e-09 1.04911121e-07]]\n", + "- reduced_chisq: 698.3818845120279\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.002329367370270563\n", - "- EPC_err: 0.00014882980985526614 \n", + "- EPC: 0.0015562786871028411\n", + "- EPC_err: 1.686845026470112e-06\n", + "- plabels: ['A', 'alpha', 'B'] \n", "\n", "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: 0f3121bb-b5f4-4c7e-bfe5-7981b55ffa98\n", + "Experiment ID: adfd1b3c-4435-4c95-aa43-b67a8d230e16\n", "Status: COMPLETE\n", "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.47203451 0.99516014 0.51540386]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01580101 0.00037024 0.01644613]\n", - "- pcov: [[ 2.49671861e-04 5.03284460e-06 -2.53054006e-04]\n", - " [ 5.03284460e-06 1.37079050e-07 -5.61728449e-06]\n", - " [-2.53054006e-04 -5.61728449e-06 2.70475061e-04]]\n", - "- reduced_chisq: 0.05426667674567582\n", + "- popt: [0.48489571 0.99685652 0.50226562]\n", + "- popt_keys: None\n", + "- popt_err: [4.67226100e-04 4.51247210e-06 4.74594366e-04]\n", + "- pcov: [[ 2.18300229e-07 2.00381319e-09 -2.21544151e-07]\n", + " [ 2.00381319e-09 2.03624045e-11 -2.05160852e-09]\n", + " [-2.21544151e-07 -2.05160852e-09 2.25239812e-07]]\n", + "- reduced_chisq: 554.2470051270237\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.0024199308742895442\n", - "- EPC_err: 0.00018602125749951954 \n", + "- EPC: 0.0015717396315151344\n", + "- EPC_err: 2.263350847455984e-06\n", + "- plabels: ['A', 'alpha', 'B'] \n", "\n", "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: 48fa576b-c5f4-466a-bb45-4e4400a0b13e\n", + "Experiment ID: 842fcff6-662c-47c2-a024-e871ac1b9c5b\n", "Status: COMPLETE\n", "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.47487293 0.97701163 0.50744803]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01297998 0.00152055 0.00507298]\n", - "- pcov: [[ 1.68479808e-04 -5.91970057e-06 -1.95240445e-05]\n", - " [-5.91970057e-06 2.31206912e-06 -3.51490682e-06]\n", - " [-1.95240445e-05 -3.51490682e-06 2.57351274e-05]]\n", - "- reduced_chisq: 0.05286585299165659\n", + "- popt: [0.47796991 0.98417873 0.51016471]\n", + "- popt_keys: None\n", + "- popt_err: [8.68826944e-05 1.05557314e-05 7.66890971e-05]\n", + "- pcov: [[ 7.54860259e-09 3.02649695e-10 -5.67513974e-09]\n", + " [ 3.02649695e-10 1.11423466e-10 -4.31459400e-10]\n", + " [-5.67513974e-09 -4.31459400e-10 5.88121761e-09]]\n", + "- reduced_chisq: 422.49065309169913\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.011494183231691824\n", - "- EPC_err: 0.00077816317711492 \n", + "- EPC: 0.007910633750468743\n", + "- EPC_err: 5.362710602598715e-06\n", + "- plabels: ['A', 'alpha', 'B'] \n", "\n", "---------------------------------------------------\n", "Experiment: RBExperiment\n", - "Experiment ID: 258904b3-0a79-444e-be68-81411f9bdb8e\n", + "Experiment ID: 11b1662b-3f18-43cb-8e35-8df96ec6003c\n", "Status: COMPLETE\n", "Circuits: 140\n", "Analysis Results: 1\n", "---------------------------------------------------\n", "Last Analysis Result\n", - "- popt: [0.4788834 0.99339482 0.50601984]\n", - "- popt_keys: ['a', 'alpha', 'b']\n", - "- popt_err: [0.01169373 0.00044597 0.01210257]\n", - "- pcov: [[ 1.36743232e-04 3.82903865e-06 -1.33280715e-04]\n", - " [ 3.82903865e-06 1.98891691e-07 -4.63998056e-06]\n", - " [-1.33280715e-04 -4.63998056e-06 1.46472106e-04]]\n", - "- reduced_chisq: 0.09716501375339814\n", + "- popt: [0.46057898 0.99499266 0.52740683]\n", + "- popt_keys: None\n", + "- popt_err: [9.96213286e-05 2.52493125e-06 1.00644325e-04]\n", + "- pcov: [[ 9.92440911e-09 2.10349103e-10 -9.98184864e-09]\n", + " [ 2.10349103e-10 6.37527782e-12 -2.16645073e-10]\n", + " [-9.98184864e-09 -2.16645073e-10 1.01292802e-08]]\n", + "- reduced_chisq: 3646.3294248027814\n", "- dof: 11\n", "- xrange: [1.0, 500.0]\n", - "- EPC: 0.0033025905110250497\n", - "- EPC_err: 0.00022446903186354 \n", + "- EPC: 0.0025036719357949266\n", + "- EPC_err: 1.2688190380616948e-06\n", + "- plabels: ['A', 'alpha', 'B'] \n", "\n" ] } @@ -391,20 +541,13 @@ "for i in range(par_exp.num_experiments):\n", " print(par_expdata.component_experiment_data(i), '\\n')" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python [conda env:qiskit]", + "display_name": "Python 3", "language": "python", - "name": "conda-env-qiskit-py" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -416,7 +559,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.7" + "version": "3.7.6" } }, "nbformat": 4, diff --git a/qiskit_experiments/analysis/curve_fitting.py b/qiskit_experiments/analysis/curve_fitting.py index b2d2e83801..b5717eb7a1 100644 --- a/qiskit_experiments/analysis/curve_fitting.py +++ b/qiskit_experiments/analysis/curve_fitting.py @@ -293,7 +293,7 @@ def process_multi_curve_data( ydata = np.zeros(size, dtype=float) ydata_var = np.zeros(size, dtype=float) - for i, datum in enumerate(filter_data): + for i, datum in enumerate(filtered_data): metadata = datum["metadata"] series[i] = metadata[series_key] xdata[i] = metadata[x_key] diff --git a/qiskit_experiments/analysis/data_processing.py b/qiskit_experiments/analysis/data_processing.py index 722f92e07f..7760ff5ef8 100644 --- a/qiskit_experiments/analysis/data_processing.py +++ b/qiskit_experiments/analysis/data_processing.py @@ -120,6 +120,45 @@ def mean_xy_data( raise QiskitError(f"Unsupported method {method}") +def multi_mean_xy_data( + series: np.ndarray, + xdata: np.ndarray, + ydata: np.ndarray, + sigma: Optional[np.ndarray] = None, + method: str = "sample", +): + r"""Return (series, x, y_mean, sigma) data. + Performs `mean_xy_data` for each series + and returns the concatenated results + """ + series_vals = np.unique(series) + + series_means = [] + xdata_means = [] + ydata_means = [] + sigma_means = [] + + # Get x, y, sigma data for series and process mean data + for i in series_vals: + idxs = series == series_vals[i] + sigma_i = sigma[idxs] if sigma is not None else None + x_mean, y_mean, sigma_mean = mean_xy_data( + xdata[idxs], ydata[idxs], sigma=sigma_i, method=method + ) + series_means.append(i * np.ones(x_mean.size, dtype=int)) + xdata_means.append(x_mean) + ydata_means.append(y_mean) + sigma_means.append(sigma_mean) + + # Concatenate lists + return ( + np.concatenate(series_means), + np.concatenate(xdata_means), + np.concatenate(ydata_means), + np.concatenate(sigma_means), + ) + + def level2_probability(data: Dict[str, any], outcome: str) -> Tuple[float]: """Return the outcome probability mean and variance. diff --git a/qiskit_experiments/randomized_benchmarking/__init__.py b/qiskit_experiments/randomized_benchmarking/__init__.py index 8a359dcc72..31d6d98d7a 100644 --- a/qiskit_experiments/randomized_benchmarking/__init__.py +++ b/qiskit_experiments/randomized_benchmarking/__init__.py @@ -13,4 +13,6 @@ """Randomized Benchmarking Experiment Classes.""" from .rb_experiment import RBExperiment +from .interleaved_rb_experiment import InterleavedRBExperiment from .rb_analysis import RBAnalysis +from .interleaved_rb_analysis import InterleavedRBAnalysis diff --git a/qiskit_experiments/randomized_benchmarking/interleaved_rb_analysis.py b/qiskit_experiments/randomized_benchmarking/interleaved_rb_analysis.py new file mode 100644 index 0000000000..ea5cb99ac8 --- /dev/null +++ b/qiskit_experiments/randomized_benchmarking/interleaved_rb_analysis.py @@ -0,0 +1,176 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. +""" +Interleaved RB analysis class. +""" +from typing import Optional, List +import numpy as np +from qiskit_experiments.analysis.curve_fitting import ( + process_multi_curve_data, + multi_curve_fit, +) + +from qiskit_experiments.analysis.plotting import plot_curve_fit, plot_scatter, plot_errorbar +from qiskit_experiments.analysis.data_processing import ( + level2_probability, + multi_mean_xy_data, +) +from .rb_analysis import RBAnalysis + +try: + from matplotlib import pyplot as plt + + HAS_MATPLOTLIB = True +except ImportError: + HAS_MATPLOTLIB = False + + +class InterleavedRBAnalysis(RBAnalysis): + r"""Interleaved RB Analysis class. + According to the paper: "Efficient measurement of quantum gate + error by interleaved randomized benchmarking" (arXiv:1203.4550) + + The epc estimate is obtained using the equation + :math:`r_{\mathcal{C}}^{\text{est}}= + \frac{\left(d-1\right)\left(1-p_{\overline{\mathcal{C}}}/p\right)}{d}` + + The error bounds are given by + :math:`E=\min\left\{ \begin{array}{c} + \frac{\left(d-1\right)\left[\left|p-p_{\overline{\mathcal{C}}}/p\right|+\left(1-p\right)\right]}{d}\\ + \frac{2\left(d^{2}-1\right)\left(1-p\right)}{pd^{2}}+\frac{4\sqrt{1-p}\sqrt{d^{2}-1}}{p} + \end{array}\right.` + """ + + # pylint: disable=invalid-name + def _run_analysis( + self, + experiment_data, + p0: Optional[List[float]] = None, + plot: bool = True, + ax: Optional["AxesSubplot"] = None, + ): + def data_processor(datum): + return level2_probability(datum, datum["metadata"]["ylabel"]) + + num_qubits = len(experiment_data.data[0]["metadata"]["qubits"]) + series, x, y, sigma = process_multi_curve_data(experiment_data.data, data_processor) + series, xdata, ydata, ydata_sigma = multi_mean_xy_data(series, x, y, sigma) + + def fit_fun_standard(x, a, alpha_std, _, b): + return a * alpha_std ** x + b + + def fit_fun_interleaved(x, a, _, alpha_int, b): + return a * alpha_int ** x + b + + std_idx = series == 0 + std_xdata = xdata[std_idx] + std_ydata = ydata[std_idx] + std_ydata_sigma = ydata_sigma[std_idx] + p0_std = self._p0(std_xdata, std_ydata, num_qubits) + + int_idx = series == 1 + int_xdata = xdata[int_idx] + int_ydata = ydata[int_idx] + int_ydata_sigma = ydata_sigma[int_idx] + p0_int = self._p0(int_xdata, int_ydata, num_qubits) + + p0 = ( + np.mean([p0_std[0], p0_int[0]]), + p0_std[1], + p0_int[1], + np.mean([p0_std[2], p0_int[2]]), + ) + + analysis_result = multi_curve_fit( + [fit_fun_standard, fit_fun_interleaved], + series, + xdata, + ydata, + p0, + ydata_sigma, + bounds=([0, 0, 0, 0], [1, 1, 1, 1]), + ) + + # Add EPC data + nrb = 2 ** num_qubits + scale = (nrb - 1) / (2 ** nrb) + _, alpha, alpha_c, _ = analysis_result["popt"] + _, alpha_err, alpha_c_err, _ = analysis_result["popt_err"] + + # Calculate epc_est (=r_c^est) - Eq. (4): + epc_est = scale * (1 - alpha_c / alpha) + # Calculate the systematic error bounds - Eq. (5): + systematic_err_1 = scale * (abs(alpha - alpha_c / alpha) + (1 - alpha)) + systematic_err_2 = ( + 2 * (nrb * nrb - 1) * (1 - alpha) / (alpha * nrb * nrb) + + 4 * (np.sqrt(1 - alpha)) * (np.sqrt(nrb * nrb - 1)) / alpha + ) + systematic_err = min(systematic_err_1, systematic_err_2) + systematic_err_l = epc_est - systematic_err + systematic_err_r = epc_est + systematic_err + + alpha_err_sq = (alpha_err / alpha) ** 2 + alpha_c_err_sq = (alpha_c_err / alpha_c) ** 2 + epc_est_err = ( + ((nrb - 1) / nrb) * (alpha_c / alpha) * (np.sqrt(alpha_err_sq + alpha_c_err_sq)) + ) + + analysis_result["EPC"] = epc_est + analysis_result["EPC_err"] = epc_est_err + analysis_result["systematic_err"] = systematic_err + analysis_result["systematic_err_L"] = systematic_err_l + analysis_result["systematic_err_R"] = systematic_err_r + analysis_result["plabels"] = ["A", "alpha", "alpha_c", "B"] + + if plot: + ax = plot_curve_fit(fit_fun_standard, analysis_result, ax=ax) + ax = plot_curve_fit(fit_fun_interleaved, analysis_result, ax=ax) + ax = plot_scatter(std_xdata, std_ydata, ax=ax) + ax = plot_scatter(int_xdata, int_ydata, ax=ax) + ax = plot_errorbar(std_xdata, std_ydata, std_ydata_sigma, ax=ax) + ax = plot_errorbar(int_xdata, int_ydata, int_ydata_sigma, ax=ax) + self._format_plot(ax, analysis_result) + analysis_result.plt = plt + + return analysis_result, None + + @classmethod + def _format_plot(cls, ax, analysis_result, add_label=True): + """Format curve fit plot""" + # Formatting + ax.tick_params(labelsize=14) + ax.set_xlabel("Clifford Length", fontsize=16) + ax.set_ylabel("Ground State Population", fontsize=16) + ax.grid(True) + + if add_label: + alpha = analysis_result["popt"][1] + alpha_c = analysis_result["popt"][2] + alpha_err = analysis_result["popt_err"][1] + alpha_c_err = analysis_result["popt_err"][2] + epc = analysis_result["EPC"] + epc_err = analysis_result["EPC_err"] + box_text = "\u03B1:{:.4f} \u00B1 {:.4f}".format(alpha, alpha_err) + box_text += "\n\u03B1_c:{:.4f} \u00B1 {:.4f}".format(alpha_c, alpha_c_err) + box_text += "\nEPC: {:.4f} \u00B1 {:.4f}".format(epc, epc_err) + bbox_props = dict(boxstyle="square,pad=0.3", fc="white", ec="black", lw=1) + ax.text( + 0.6, + 0.9, + box_text, + ha="center", + va="center", + size=14, + bbox=bbox_props, + transform=ax.transAxes, + ) + return ax diff --git a/qiskit_experiments/randomized_benchmarking/interleaved_rb_experiment.py b/qiskit_experiments/randomized_benchmarking/interleaved_rb_experiment.py new file mode 100644 index 0000000000..bc9254d095 --- /dev/null +++ b/qiskit_experiments/randomized_benchmarking/interleaved_rb_experiment.py @@ -0,0 +1,93 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. +""" +Interleaved RB Experiment class. +""" +from typing import Union, Iterable, Optional, List + +from numpy.random import Generator + +from qiskit import QuantumCircuit +from qiskit.circuit import Instruction +from qiskit.quantum_info import Clifford, random_clifford + +from .rb_experiment import RBExperiment +from .interleaved_rb_analysis import InterleavedRBAnalysis + + +class InterleavedRBExperiment(RBExperiment): + """Interleaved RB Experiment class""" + + # Analysis class for experiment + __analysis_class__ = InterleavedRBAnalysis + + def __init__( + self, + interleaved_element: Union[QuantumCircuit, Instruction, Clifford], + qubits: Union[int, Iterable[int]], + lengths: Iterable[int], + num_samples: int = 1, + seed: Optional[Union[int, Generator]] = None, + full_sampling: bool = False, + ): + """Interleaved randomized benchmarking experiment + Args: + interleaved_element: the element to interleave, + given either as a group element or as an instruction/circuit + qubits: the number of qubits or list of + physical qubits for the experiment. + lengths: A list of RB sequences lengths. + num_samples: number of samples to generate for each + sequence length + seed: Seed or generator object for random number + generation. If None default_rng will be used. + full_sampling: If True all Cliffords are independently sampled for + all lengths. If False for sample of lengths longer + sequences are constructed by appending additional + Clifford samples to shorter sequences. + """ + self._interleaved_element = interleaved_element + super().__init__(qubits, lengths, num_samples, seed, full_sampling) + + def _sample_circuits(self, lengths, seed=None): + circuits = [] + for length in lengths if self._full_sampling else [lengths[-1]]: + elements = [random_clifford(self.num_qubits, seed=seed) for _ in range(length)] + element_lengths = [len(elements)] if self._full_sampling else lengths + std_circuits = self._generate_circuit(elements, element_lengths) + for circuit in std_circuits: + circuit.metadata["series"] = 0 + circuit.metadata["series_name"] = "standard" + circuits += std_circuits + + int_elements = self._interleave(elements) + int_elements_lengths = [length * 2 for length in element_lengths] + int_circuits = self._generate_circuit(int_elements, int_elements_lengths) + for circuit in int_circuits: + circuit.metadata["series"] = 1 + circuit.metadata["series_name"] = "interleaved" + circuit.metadata["xval"] = circuit.metadata["xval"] // 2 + circuits += int_circuits + return circuits + + def _interleave(self, element_list: List) -> List: + """Interleaving the interleaved element inside the element list + Args: + element_list: The list of elements we add the interleaved element to + Returns: + The new list with the element interleaved + """ + new_element_list = [] + for element in element_list: + new_element_list.append(element) + new_element_list.append(self._interleaved_element) + return new_element_list diff --git a/qiskit_experiments/randomized_benchmarking/rb_experiment.py b/qiskit_experiments/randomized_benchmarking/rb_experiment.py index be6163dfdf..9e7ef2a551 100644 --- a/qiskit_experiments/randomized_benchmarking/rb_experiment.py +++ b/qiskit_experiments/randomized_benchmarking/rb_experiment.py @@ -139,7 +139,7 @@ def _generate_circuit(self, elements: Iterable[Clifford], lengths: Iterable[int] rb_circ.barrier(qubits) rb_circ.metadata = { "experiment_type": self._type, - "xdata": current_length + 1, + "xval": current_length + 1, "ylabel": self.num_qubits * "0", "group": "Clifford", "qubits": self.physical_qubits, diff --git a/test/test_curve_fitting.py b/test/test_curve_fitting.py index be180d09e9..81c8d30dfd 100644 --- a/test/test_curve_fitting.py +++ b/test/test_curve_fitting.py @@ -17,7 +17,11 @@ from qiskit import QuantumCircuit, execute from qiskit.providers.basicaer import QasmSimulatorPy from qiskit_experiments.analysis.curve_fitting import curve_fit, multi_curve_fit, process_curve_data -from qiskit_experiments.analysis.data_processing import level2_probability +from qiskit_experiments.analysis.data_processing import ( + level2_probability, + mean_xy_data, + multi_mean_xy_data, +) class TestCurveFitting(QiskitTestCase): @@ -108,3 +112,38 @@ def test_multi_curve_fit(self): [self.objective0, self.objective1], series, xdata, ydata, p0, sigma=sigma, bounds=bounds ) self.assertTrue(abs(sol["popt"][0] - 0.5) < 0.05) + + def test_mean_xy_data(self): + """Test mean_xy_data function""" + # pylint: disable=unbalanced-tuple-unpacking + x = np.array([1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5]) + y = np.array([1, 2, 3, 8, 10, 50, 60, 10, 11, 17, 10, 10, 10, 10]) + x_mean, y_mean, y_sigma = mean_xy_data(x, y, method="sample") + + expected_x_mean = np.array([1, 2, 3, 4, 5]) + expected_y_mean = np.array([2, 32, 10.5, 17, 10]) + expected_y_sigma = np.sqrt(np.array([2 / 3, 542, 1 / 4, 0, 0])) + self.assertTrue(np.allclose(expected_x_mean, x_mean)) + self.assertTrue(np.allclose(expected_y_mean, y_mean)) + self.assertTrue(np.allclose(expected_y_sigma, y_sigma)) + + sigma = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]) + x_mean, y_mean, y_sigma = mean_xy_data(x, y, sigma, method="iwv") + expected_y_mean = np.array([1.34693878, 23.31590234, 10.44137931, 17.0, 10.0]) + expected_y_sigma = np.array([0.85714286, 2.57610543, 5.97927455, 10.0, 6.17470935]) + self.assertTrue(np.allclose(expected_x_mean, x_mean)) + self.assertTrue(np.allclose(expected_y_mean, y_mean)) + self.assertTrue(np.allclose(expected_y_sigma, y_sigma)) + + x = np.array([1, 1, 1, 1, 2, 2, 2, 2]) + y = np.array([2, 6, 100, 200, 17, 50, 60, 70]) + series = np.array([0, 0, 1, 1, 0, 1, 1, 1]) + series, x_mean, y_mean, y_sigma = multi_mean_xy_data(series, x, y, method="sample") + expected_x_mean = np.array([1, 2, 1, 2]) + expected_y_mean = np.array([4, 17, 150, 60]) + expected_y_sigma = np.sqrt(np.array([4.0, 0.0, 2500.0, 66.66666667])) + expected_series = np.array([0, 0, 1, 1]) + self.assertTrue(np.allclose(expected_x_mean, x_mean)) + self.assertTrue(np.allclose(expected_y_mean, y_mean)) + self.assertTrue(np.allclose(expected_y_sigma, y_sigma)) + self.assertTrue(np.allclose(expected_series, series))