IQX Colors Quantumness.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Circuit library\n",
    "\n",
    "They are all rendering as block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1683.19x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit import QuantumCircuit\n",
    "\n",
    "circuit = QuantumCircuit(5)\n",
    "circuit.i(0)\n",
    "circuit.x(1)\n",
    "circuit.y(2)\n",
    "circuit.z(3)\n",
    "\n",
    "circuit.h(0)\n",
    "circuit.s(1)\n",
    "circuit.sdg(2)\n",
    "circuit.cx(0, 1)\n",
    "circuit.cy(2, 3)\n",
    "circuit.cz(1, 2)\n",
    "circuit.swap(2, 3)\n",
    "circuit.iswap(2, 3)\n",
    "circuit.dcx(0, 1)\n",
    "\n",
    "circuit.u1(0, 0)\n",
    "circuit.u2(0, 0, 1)\n",
    "circuit.u3(0, 0, 0, 2)\n",
    "\n",
    "\n",
    "circuit.cu1(0, 0, 1)\n",
    "circuit.cu3(0, 0, 0, 2, 3)\n",
    "\n",
    "circuit.ch(3, 4)\n",
    "\n",
    "circuit.rx(0, 0)\n",
    "circuit.ry(0, 1)\n",
    "circuit.rz(0, 2)\n",
    "circuit.r(0, 0, 3)\n",
    "circuit.t(4)\n",
    "circuit.tdg(4)\n",
    "\n",
    "circuit.rxx(0, 0, 1)\n",
    "circuit.ryy(0, 1, 2)\n",
    "circuit.rzz(0, 2, 3)\n",
    "circuit.rzx(0, 0, 1)\n",
    "circuit.ccx(0, 1, 2)\n",
    "circuit.cswap(0, 1, 2)\n",
    "circuit.rccx(0, 1, 2)\n",
    "circuit.rcccx(0, 1, 2, 3)\n",
    "circuit.ms([[0] * 5] * 5, [0, 1, 2, 3, 4])\n",
    "\n",
    "circuit.unitary(np.eye(4), [0, 1])\n",
    "# circuit.initialize(np.eye(4)[0,:], [2, 3])\n",
    "# circuit.isometry(np.eye(4), [], [1, 2])\n",
    "\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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P69iWz6+8rrRMO5KWyWazKerXYyxIBwDu8Z/f/V05/1xzaYJhuP6/b/E6lRWXKHbeNGvCeRHDMJQ+6a/KW/NZ5YkV/ysr1655/5bhdOquZx+2KCFQP9RWNCmY9Q8/jV2QmJioIUOGuArmRR06dJC/v78iIyMlSc8884zCw8Nlt9u1fPlyK6LCg/LWbtOx/3xe8etyNbJeflcl37LpLADvcPrLI1UL5lUceG+DTmTneiiR9zr2ny+qFsyr+Px/PlDR1yc8lAiovy4WzYSxnapsOkvBrJ8omZLy8vK0a9cujRlz5WjUoUOHFBERoSZNmkiShgwZotTUVPXt29fTMWGBfUvWy2aveVNY5/ky5f5rg4cSAYB77VuaJtW2B4DNpn3/l+aRPN5s35J1tX7GGE5D+5PTPRMIqOcuL5ojp36kB36XTsGsh9hcVhUlU5KCg4OrTC8uLlZGRoaGDh3qmhYdHe3WLOzbV7/Mbn23Qvxb1jiPYRh69vGZSv75MA+l8g0LguMleec6cX7k2Gua//l9X+jF/XurTCssL1P/oBvrfB/e+Dp68zJipYkt7lJPxy3ys1X/O3S5s1xL5s1X78RHPZjM+8wMjFGnxm1qXIbLDaf+8swf9fa00R5MBjQA7aertHlExd/fbtZzkx/Vc5OtjVQnd/5dUsP97DKMGjbvq4SSKSkoKEiSlJOTo2HDLhWFuXPnKj8/X927d7cqGix21nleTsOQvYY3ApvNprNGqQdTwdc8EXbHVQ/8A7hDsVEqW61DmeJ9zwRnjdKKY/3UMI9dNhU7ea2BKlr0lALuqHS5h3TqP1LhbusyoQpKpqTQ0FBFRkYqMTFRrVq1Utu2bbV8+XKtXLlSkjxaMuv66wA8Y89bq/WfJ/631vkW70zT9aE3eSCR71h4U8Wv9t64TpTec5/HH9MbX0dvXkaslL9pl1bHz65xHj+bXc8sf0P/O4AfYX+I3Pc26OPHXqpxHpvNptc3/lvLIkM9lAqo3yrvg+li91eTjjOuetTZ+sYWOV+S9392sU+mJLvdruTkZEVERCghIUHjx49XUFCQJk+eLD8/P9dBf+B7bo/vq6Y3Bla/z4xNChn+YwomAK8R3DtCQV07SNW979ltatmpndr26+LZYF4oZPiP1Tzkxho+Y2y6KeZOtaZgApKuPIrsRZcfDAjWo2ReEB4errS0NBUVFenQoUOaM2eOsrOz1blzZzVt2tTqeLCIf0BTDV76jBxtLuyXeeGLwMUvBMG9I9Tn5SlWxQMA09lsNt391hMK7NSu4vJlBej60Js0cNGTsvv5WRHPq/g19tegpc/ourZtqky/+JoHdbldcW9ynm5Aqvk0JVc76iysxeayNcjMzFSvXr2qTHv66ae1YMECFRQUKDs7W9OmTVNGRoZuv/12i1LC3Vp2vFU/3fg35b77iQ6kbNL5786q+a1tFHb/3bo5LoovWnCrtdH9rmk6YIambVpqxKrndSh1q/Ynpytv7TZJUsyrj6v9iN7ya+JvcULv0TzkRt2b8aIO/HujNk6fJ0m6ZWB3dbivv24d2F32RnzGALWdpqS282jC82yGt28Q/D0VFhaqRYsWeumllzR16lSr4wA+5+L+do/ke9/5aK3YJ9M/ZanHH9PdvHkZqW94rT2D1xm40v7D36njPctVXn5lwXTt37hzQsX/DUOT/7hJry/bo4Bm/jqwaqyCAh2W5K7O5Zm9FSOZ1QgICFB5ebnVMQAAAACfdfut1+uVJ3rr+MliPZtQ83kwL45oNmpkV0y34HpXMH0JJRMAAABAvZVw3x21z3SBzWbT357o7cY0qAsO/AMAAAAAMA0lEwAAAABgGkomAAAAAMA0lEwAAAAAgGkomQAAAAAA01AyAQAAAACm4RQmAOBh/ilLrY4AAADgNoxkAgAAAABMQ8kEAAAAAJiGkgkAAAAAMA0lE4DXSE9P11NPPeW6PHv2bC1evFjdunWTw+FQWVnZVW+XlJSk7du3V3u/R44c0bRp01yXX3zxRfXp00eSlJWVpblz55r0DADv4O51ccuWLYqOjlafPn00ffp0SayLAFCfUDIBeLVWrVpp3bp16tWr11Wvdzqd2rhxo7p27VrtfaxZs0YDBw6UJJWUlGjHjh2u66KiorR582YZhmFucMDLmLkuhoSEaP369dqwYYOOHz+u7Oxs1kUAqEcomQC8msPhUGBgYLXXZ2VlqUOHDpIqRl8CAwMVFxenkJAQjRo1SpKUkZGh2NhYSdL8+fP18MMPV7mPsLCwGkdfAJi7LgYHB8vhcEiS/P395efnJ4l1EQDqC0omAJ+2b98+tW/fXpLUt29f9ezZU+np6YqNjdW8efNkGIaKiooUEBCg0tJSpaenq3///lXuIzQ0VHv27LEgPeA9rmVdvGjnzp0qKChQ586dJbEuAkB9wXkyAXgNh8OhkpIS1+Vz586padOmdb59bm6uQkNDJUmHDx9W27ZttWPHDkVFRUmS3nnnHd1///3mhga8kLvXRUk6efKkpkyZomXLlpkXHABgCkYyAXiNi5vKOZ1OOZ1Obdu2TWFhYbXe5uDBg5Kk3bt3KyIiQuXl5bLbK94eK++PuXfvXr3++usaMmSIdu/erVdeeUVSxRfiTp06ue+JAQ2Mu9fFsrIyPfjgg0pKSlJwcLDrPlgXAaB+oGQC8BqtW7dWfHy8YmJiFBMTo9GjR6t58+YaMGCAsrKyNHjwYG3ZsqXKbaKiopSTkyPp0hfbkpISHT9+XPn5+crMzFSPHj0kSS+88IJWr16t1NRURUREaOrUqZKknJwcdenSxbNPFqjH3L0uJicna+vWrZo5c6bi4uK0efNmSayLAFBfsLksAK+SkJCghISEKtPWrl1b7fx2u10xMTHavn27Zs2a5ZqenZ0tSYqPj3eNpFS2YcMGSRUHK+ndu/dV5wF8mTvXxXHjxmncuHFVbs+6CAD1ByUTgM+bMWNGtdeNHTu2xttGRUVV2U8MwPfHuggA3oGf+wAAAAAApqFkAgAAAABMQ8kEAAAAAJiGfTIBAADgVqX33Ofxx/RPWerxxwRQgZFMAAAAAIBpKJkAAAAAANNQMgEAAAAApqFkAgAAAABMQ8kEAAAAAJiGkgkAAAAAMA0lEwAAAEC9db60XEVnS+s8/3eF5+V0Gm5MhNpQMgEAAADUS+dLy/VfM9M0fMpHdSqaJ06dU9/xH2rS7zdQNC1EyazE6XQqKSlJYWFhcjgcioqKUkZGhjp27KiJEydaHQ/wSc7SMqsjAD6t7Nx5qyMAkOQsK1fxN6d1/rsiq6N41NFvirUlu0AZmUdrLZonTp3T3b9Ypay9J/XxZ8f07XclHkyKyiiZlUyYMEFz5szRpEmTtGrVKo0dO1bjxo1Tbm6uunfvbnU8wCccXvuZUuOfdV1eEvFzbX3uLRUXnLIwFeB7vt1zSJ9M/ZsWh//MNS0j4UWdyM61MBV8wYBNaUrM+bzO073duZNn9NkfF+n/7pygpXdO0OKOD2vlqKf01cotVkfziHY3BSjt78N08w3NaiyalQtmeEgLpc0fqtYtHRYkhkTJdFmyZIkWLlyolJQUzZgxQ/369dOTTz6p3r17q6ysTN26dbM6IuD1ds37t9Y99Ccd+8+lLxGlZ85q95vv6/0hv1VhXoGF6QDfcXTTbn0w9AntX/FJla0JDqRs0ofDZ+lI2g4L0wG+4+zxb/XhsCeU/ep7On+q0DW9IHOv0ib8WduTllqYznPC27eosWherWDefMN1FiYGJfOCxMREDRkyRLGxsVWmd+jQQf7+/oqMjNS3336rESNGKDw8XFFRURo0aJC+/PJLixID3qVg+z5lznlHkmRcvg+FIZ09elIbfvWqBckA31JWXKL1E/6s8vOl0uXrotOQs7xcab9I0vkzZ60JCPiQTTPe0JnDx6+YfvFzMusvycrfuMvTsSxxtaJ5EQWz/qFkSsrLy9OuXbs0ZsyYK647dOiQIiIi1KRJE9lsNk2bNk05OTnKysrSiBEjNH78eAsSA95nz4JUyW6rfganoaObduvU3sOeCwX4oIPvb64YManugBlOQ2VF55T77seeDQb4mDOHjilv7WfVr4uSbHab9ixY5cFU1rq8aF5Ewax/GlkdoD7Iy8uTJAUHB1eZXlxcrIyMDA0dOlSS1LJlSw0YMMB1fXR0tObOnWtqFputhi/ZgBf7S5thauXXtNb5fto1TmnF7BMGaUFwvCTeN802oUV39Xa0k5+t+t+hyw2nXpk+W/PGD/VgMu/nzcv0+ZFjr2n+5/d9oRf3760yrbC8TP2DbqzzfTT01/EnjnZ6tOVdNc5jOA19/v4n6m+b6aFU9UTjG6XQ30j+LSsulxxTTup/q+2Np63NVRd3/l1Sw10+DaNuR+ylZEoKCgqSJOXk5GjYsGGu6XPnzlV+fn61B/156aWXdO+993okI+Dt7Krbm629gb4pAw1FndfFOs4HfB9PhN2hWeGdq0wbsCnNojTWqOvnnU+ui+WFUvnZSyWz7IxUXmxtJlRByZQUGhqqyMhIJSYmqlWrVmrbtq2WL1+ulStXStJVS+Zzzz2nL7/8UuvXrzc1S11/HQC8zbpHnlfems+u3B/zMovTP9ANd3XyUCrUZwtvGi2J902zff6/H+rTZxbUOI+fza5Hn52hV6bFeyiVb/DmZbr0nvs8/pgN/XU8ufugUgbMqHEem92m237SVcbyf3solfUqH+Sn/c0BOldSrqPqoNhHVujDVwfpumb+VkeskS1yvqSGv3zWhn0yJdntdiUnJysiIkIJCQkaP368goKCNHnyZPn5+SkyMrLK/H/4wx/0wQcfKDU1Vc2aNbMoNeBdOj08pMaCabPbFNipndr06OjBVIDvuX1MrPya+Es1jKLYGvkp7P7+HkwF+J5WEe3Vpnu4bDUcr8BwGur0yBAPprLW5UeR3fj2CGUsGF7r6U3geZTMC8LDw5WWlqaioiIdOnRIc+bMUXZ2tjp37qymTS/tJ/bcc8/p/fff15o1a9SyZUsLEwPe5ea4KIU/cGGf58s+T212m/wcjdXn5SkNdh8GoKFo0jJA0X9JkGRceTCuC5d7JT6qZjcEej4c4GOi/5KgRgFNqy2at/2/PgoZ1tPDqaxR3WlKaju9CaxByaxBZmZmlU1ld+/erdmzZ+vEiROKi4tTly5d1KVLFwsTAt7DZrOp99yJuuvZh9XsxlaVrpDa9u+q4R8kqnVkqHUBAR9ye3xfDXhnllrfWXWdC+zYTv3+MVMdHxpoUTL4grXR/a7YH7Om6d4ssOOtGvHhn3Tr4LuqbF3gaNNS3WY9oJhXpspm9/6v87WdB5OiWf+wT2Y1CgsLlZOTo8cee8w1LSIiwuu3nwasZLPbFfHLkbrj0WE6ueuAyorPq3nIjbru5tZWRwN8zi13d9Mtd3fTqX1HdK7glBytr1eL8FvYmgDwsBYd2qr/P2bq7NGTWtZ1oiRp7GdvyO7vG1/jayuYF10smv0eXekqmg1hH01v5RtL5/cQEBCg8vJyq2MAPsneyE9BXTpYHQOApJZhbaWwtlbHAHxes+BLW/n4SsGUJLvdJv9G9jqdB7Ny0fRvZOdHMQv5zhIKAAAAoEEJvL6JPnpziIrPldVYMC8Kb99CGxaO0I2tm6pZU6qOVXjlAQAAANRbgdc3UeD1Teo8/223NHdjGtSF9+8pDAAAAADwGEomAAAAAMA0lEwAAAAAgGkomQAAAAAA01AyAQAAAACmoWQCAAAAAEzDKUwAAADgVv4pS62OAMCDGMkEAAAAAJiGkgkAAAAAMA0lEwDgE9LT0/XUU0+5Ls+ePVuLFy9Wt27d5HA4VFZWdtXbJSUlafv27dXe75EjRzRt2jSdPXtWw4cPV1xcnEaNGqWSkhJlZWVp7ty5pj8X4CJ3L9cXvfjii+rTp48ksVw3IO5ePrZs2aLo6Gj16dNH06dPl8TygQqUTACAz2rVqpXWrVunXr16XfV6p9OpjRs3qmvXrtXex5o1azRw4EClpqbqxz/+sdLT09WzZ0+lpqYqKipKmzdvlmEY7noKwBXMXK4lqaSkRDt27HBdx3LdsJm5fISEhGj9+vXasGGDjh8/ruzsbJYPSKJkAgB8mMPhUGBgYLXXZwrXUQMAAAsJSURBVGVlqUOHDpIqRgQCAwMVFxenkJAQjRo1SpKUkZGh2NhY3X777SoqKpIknTp1Sq1bt5YkhYWF1TgiAJjNzOVakubPn6+HH364yn2wXDdcZi4fwcHBcjgckiR/f3/5+flJYvkAJRMAgGrt27dP7du3lyT17dtXPXv2VHp6umJjYzVv3jwZhqGioiIFBAQoLCxMmzdvVkREhDIzMxUdHS1JCg0N1Z49eyx8FkBV17Jcl5aWKj09Xf37969yHyzX3utalo+Ldu7cqYKCAnXu3FkSywcomQAAH+FwOFRSUuK6fO7cOTVt2rTOt8/NzVVoaKgk6fDhw2rbtq2ysrIUFRUlSXrrrbc0cuRI7d69W8OHD9c///lPc58AcBXuXq7feecd3X///eaGhse4e/mQpJMnT2rKlCmaP3++ecHR4FEyAQA+4eLmW06nU06nU9u2bVNYWFittzl48KAkaffu3YqIiFB5ebns9oqPz8r7rRmGoVatWkmSgoKCdPr0aUkVX9I6derkpmcFX+fu5Xrv3r16/fXXNWTIEO3evVuvvPKKJJbrhsLdy0dZWZkefPBBJSUlKTg42HUfLB+gZAIAfELr1q0VHx+vmJgYxcTEaPTo0WrevLkGDBigrKwsDR48WFu2bKlym6ioKOXk5Ei69GWrpKREx48fV35+vjIzM9WjRw9J0v33369ly5YpLi5OixYt0gMPPCBJysnJUZcuXTz7ZOEz3L1cv/DCC1q9erVSU1MVERGhqVOnSmK5bijcvXwkJydr69atmjlzpuLi4rR582ZJLB+QbAaHfgIANEALbxotSXokf7lbHycpKUl33333VY+0uGzZMo0dO7ba22ZlZSk1NVW//e1v3RkRXsJTy7TEct1Q8b7X8NkiKzYrNnZOsDiJe1EyAQANkie/kAOewDKN2rCMNHy+UjLZXBYAAAAAYBpKJgAAAADANJRMAAAAAIBpKJkAAAAAANM0sjoAAAAAAN9Ves99ljyuf8pSSx7XFzCSCQAAAAAwDSUTAAAAAGAaSiYAAAAAwDSUTAAAAACAaSiZAAAAAADTUDIBAAAAAKahZAIAAACAiQrPluo3f/lURWdL6zT/ofxCPf3qZ3I6DTcn8wzOkwkAAAAAJnp09idamnpAW3cX6MNXB+m6Zv7Vznsov1BxP1+pA0fO6LqmjfTEhCgPJnUPRjIrcTqdSkpKUlhYmBwOh6KiopSRkaGOHTtq4sSJVscDAEg6vf9rfZa4yHX56ObPZRje8csvfJNhGDqeudd1OfMP7+jU3sMWJkJ9c/bYt9r58ruuy4dWb5WzvNzCRNYasClNiTmf13m6FX7/WHfdfEMzZWQe1fApH1U7olm5YN71oyD9ckwnDyd1D0pmJRMmTNCcOXM0adIkrVq1SmPHjtW4ceOUm5ur7t27Wx0PAHyas6xcm2a8off6PK7sV99zTU/96TNaOXKWir85bWE64PspOVWo1aNna+XIJ13Tds1L0b/ipuvjKS+rvKRum9rBOxmGoZ1/W6Hk7pO07fklrunrH3lBK6Kn6tS+IxamQ03C27dQ2t+H1Vg0Ly+YH70xRC2vb2JRYnNRMi9YsmSJFi5cqJSUFM2YMUP9+vXTk08+qd69e6usrEzdunWzOiIA+LRPn12onEVrKy5cNnBZsO1LrRn3BzlLyzwfDPieDKdTax/6k45uvmzk5cLIfO67n2jzb//HgmSoL/YsTNW2Py2WUe684rqivAKtHv2szvEDW711taJ5kTcXTImS6ZKYmKghQ4YoNja2yvQOHTrI399fkZGRkqR7771XkZGR6tq1q3r27Km1a9daERcAfEpR/gntXZha/QyGoZO7DujQ6kzPhQJ+oCPpWSrI3OsqlVfz5dI0fXfwqAdTob4oP1+qHUnLqr3ecBoqPn5Ke99Z48FUuFaXF82LvLlgSpRMSVJeXp527dqlMWPGXHHdoUOHFBERoSZNKv7hFy5cqJ07d2r79u168803FR8fr3If3iYeADzhwHsbZNR2xD27TfuT0z2SBzDD/uR02ey22udbnuGBNKhvvk7PUsnJMzXPZKv4IcIXPb/vC7VZ9V6V/zae/MbqWFdVuWhe5M0FU+LospIqSqYkBQcHV5leXFysjIwMDR061DWtZcuWrr9Pnz4tm81m6gEnbLbaP2wAwNfc1/xODWoWJntN75FOQx9/8JEG2H7nuWDADzAzMEadGrep8bO/3HDqpTkv6O3f/JcHk6E+6Nu0vca3qOWYIIZUcOBIg//+eH7k2Gu+zRNhd2hWeOcq0wZsurbC7fHXrVm4dPvMir/Li7V12cMKXNKwNneua+9hJFNSUFCQJCknJ6fK9Llz5yo/P/+Kg/5MnjxZoaGhio+P17vvvqtGjejqAOBOZ5wlNRdMSU7D0BnjvIcSAT/cGed5GZfvYHwZu2wqdJZ4KBHqkzPO2t/PDMNQocHy0SD4t5JuHX/psl9Tqd1EydbYukxuRDuSFBoaqsjISCUmJqpVq1Zq27atli9frpUrV0rSFSXztddekyRlZGRo+vTp+vjjjxUQEGBKFg7DDwBXOnP4uN798WNXHPCnMrvNpil//5P++tMYzwUDfoBDqZ9q/fi5Nc5js9k0/7PVejf8Fg+lQn1RVlyipV1+odLvzlY7j81m090zHpYxc5UHk5mv9J77LHlcT33vvvwgP/NmRWvUtLX6Wh0V+8iKWs+j2RAxkinJbrcrOTlZERERSkhI0Pjx4xUUFKTJkyfLz8/PddCfy8XGxsput2vjxo0eTgwAvqX5rTeow339qp/BbtP1HW5WyPBengsF/EC3DOyuVj+6Taphv8z2I3urJQXTJzVq2kRRv4qv9nqb3aYmgQHq+LNBHkyFa3W1o8j2+FGbWk9v0tDZDIbOqvXQQw8pKytLO3fulCQVFhbqxIkTCgkJkSRt375d/fv3V1ZWltq1a2dlVADweuUlpfrk8Vd0MGWT60u5TTYZTqdadrxVAxc/petubm1xSuDaFBec0toHE3ViZ65sdvulzWedhm4Z1ENxr09Xo2bed1AQ1I1hGPoscZF2vfovySbJZnO97znatNTARbPU+s5Qq2P+YFaNZPqnLHXr/dd2mpKcg6fV79GV+vr4WcX2CPaqEU1KZg3uuOMO9erVSwsWLJAkHTt2TKNGjVJhYaEaNWokh8Ohp59+WsOHD7c4KQD4jm92fKkvl6ap6OsT8m/eTLeNilbb/l1l9/OzOhrwvRhOp46kZ+nAvzbo/OkiNb0xUB3u66c23cIa/AFdYI7vcvOVs2itTu8/Ir8mjXXrgO4KGdlbjRzesT+fN5bMup4H01uLJiWzGoWFhWrRooVeeuklTZ061eo4AAAAgFfyxpI5dsZ6JX90oE6nKalcNP84tbtm/aKL23J5Cgf+qUZAQADnvwQAAABwzd585idq2byx5k6/q9bzYIa3b6H0+cP0ypLPNXP81Y8F09AwkgkAAADAMt44kunrOLosAAAAAMA0lEwAAAAAgGkomQAAAAAA01AyAQAAAACmoWQCAAAAAExDyQQAAAAAmIZTmAAAAAAATMNIJgAAAADANJRMAAAAAIBpKJkAAAAAANNQMgEAAAAApqFkAgAAAABMQ8kEAAAAAJiGkgkAAAAAMA0lEwAAAABgGkomAAAAAMA0lEwAAAAAgGkomQAAAAAA01AyAQAAAACmoWQCAAAAAExDyQQAAAAAmIaSCQAAAAAwDSUTAAAAAGAaSiYAAAAAwDSUTAAAAACAaSiZAAAAAADT/H/vSTwP7IIe6QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1201.59x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QFT  # e.g. for the Quantum Fourier Transform\n",
    "QFT(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 434.644x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import OR\n",
    "OR(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 533.372x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import LinearPauliRotations\n",
    "LinearPauliRotations(4, offset=2, slope=0.5).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 550.228x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import PiecewiseLinearPauliRotations\n",
    "PiecewiseLinearPauliRotations(4, breakpoints=[0, 2], offsets=[2, 1], slopes=[0.5, -0.5]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1020.99x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QuantumVolume\n",
    "QuantumVolume(4).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1683.19x866.88 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "QuantumVolume(4).decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1020.99x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import EfficientSU2\n",
    "EfficientSU2(3, entanglement='linear').draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1748.21x1167.88 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import WeightedAdder\n",
    "WeightedAdder(3, [1,2,1]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 604.408x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import IntegerComparator\n",
    "IntegerComparator(3, 4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 719.992x445.48 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "circuit = QuantumCircuit(7)\n",
    "circuit.mcx([0, 1, 2, 3], 4, ancilla_qubits=[5, 6], mode='v-chain')\n",
    "circuit.decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1683.19x927.08 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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H6YesR+OOzxpFxYoVMRqNjn1zIiJuwlnb6m2PaFstIiIikh8VfPLg6+uLyWTiueeec3Yo163atWsTNGE1DadswJh8koxDO3PnnfhpCtUfHU/9cStImDcBizGHU8s/JzUmioS54zGlnb1im2VrN6VGv8kAxH8/mrqvzKHusLnEfz8agBqPTaB58+aOf3MiIm7CWdvqsnW0rRYRERHJjwo+4rKqVq2KRynrIKoGL2/w8Mydl3F4J+UahuJZ1hfPsuWx5GQCttfkxk3rQ3rcNjIO7eTAWz0va9+YlkSpKjdSqnKNPH90iIhI/rStFhEREXFNXs4OQKQg6Yd2kJN8irK1Gl+caDbl3p3I08cPY2oSVe4ejDkrjWq9RmPOSufGJ97n4DuPgIcnNz0/8/KGL71Pt4ayEhEpEm2rRURERFyLCj7i0owpiRz9/FnqDptrO8Pj4slppvRzePn64+lTgep9xgLg6VMeT5/ylA6sCx4elKpc/fLGL72fp4dOdhMRuVbaVouIiIi4Hu05icsyGo0cfO8xag6Yhrd/VZt5ZWsHkxqzEVNmGqaMc3j6VLjs+emHdmDKSMF49iSZx/ZeNt/LtxLZp4+RfSYez7KXP19ERAqmbbWIiIiIa9IZPuKy5s2bR/q+zRz7ZhgANfpOJnHdbGoN/pCqDw7j0Pv9MGdnUL3PuMueazGZOPbVK9R56TssxmwOf/oUN49eYrNMtUfGEfe29fbHtYZ87Pg3JCLihrStFhEREXFNKviIy+rTpw/vlOtjM823YQgApQJqEjRhdZ7PNXh6EvTm77l/1x+zFADjudMc/3YENfpNxuemYBq+9YfN847PGoXfiRO5Y06IiEj+nLWtzknStlpEREQkPyr4XCe8F//o7BCuyZZudm6wW0wB8ycAE+z8oiIihVcSt9faVouIiIi4Ho3hIyIiIiIiIiLiZlTwERERERERERFxMyr4iIiIiIiIiIi4GRV8RERERERERETcjAo+IiIiIiIiIiJuRgUfERERERERERE3o4KPiIiIiIiIiIibUcFHRERERERERMTNqOAjIiIiIiIiIuJmVPAREREREREREXEzKviIiIiIiIiIiLgZFXxERERERERERNyMCj4iIiIiIiIiIm5GBR8RERERERERETejgo+IiIiIiIiIiJvxcnYAUjxyuvV2yut6L/6xSM9vtdhOgVyFLd2K/zVdgfpaRMT1KZ8X3vWaY9TXIiJygc7wERERERERERFxMyr4iIiIiIiIiIi4GRV8RJzMYrFw4Oi53L937U/CaDQ7MSL3ZTZb2HvwbO7few+exWy2ODEiERFxF2azhX2Hk3P/3hN3FpNJ+dwRTCYze+Iu5vN9h5OVz0VErkBj+Ig4gcViYfWmBD6du4dVm+I5m5KdO++WBxdQtownoc0CGfxQA7p3qE0pb08nRluymUxmlqw7yufzY1j397+kpufkzmt4/0/4+ngT3qoqT/VsSJewmnh6qg4uIiKFYzZb+H3jcT6bF8Pqv+I5l3oxxzTu/hM+ZbwIaxHIkIca0i2iFl5eyjHXymg0szjyCJ/Pj+GPrf+SlmHMnRfUdT4VfL1p37oaT/VsRKfQGnh4GJwYrYiIa1DBR6SYxRw8y8Ax69m4/WSey2Rkmli1KZ5Vm+KpW7M8X73ZlvBW1YoxSvewZdcpBoxeT/T+pDyXSU3PYcm6oyxZd5Sm9f2ZOb4dLRoHFGOUIiJSEkXvS6T/6PX8vft0nsukZxpZEXWcFVHHCartx9fj2xLaPLAYo3QPG7f/y4DR69l7KDnPZc6l5rBozREWrTlCi0aVmTm+HU2DKhVjlCIirkeHGcSt7B0ZwT89SrO1ty9b+/ix+8VbSYr6ydlh5Zqz9ADNey7Mt9jzX3HHUogYuJQ3Pv4Hi8V1Tld29b6e/v0u2jz2S77Fnv/auS+J2x5dzMc/7HZgZCIiUhBXzzFf/xxLi96L8i32/Ffs4WTCHv+VKTO2K59fhalf7SDs8SX5Fnv+6589Z2j58CK+WhjrwMhERFyfCj7idqr1Hs2tP6bSfNYZKrXrQ9zbvck87vyEP3vJAR4dEUlW9rVdz//m51sZOf1vO0dVNK7a1+9/F80Lb/2JyXT1O9Qmk4VnJ23kw9m7HBCZiIgUlqvmmBkL9jJwzHpyrmG8PYsFRnywhYn/2+aAyK6dq/b1pP9t47X3N1/T+Dw5RjOD3ljPlz/tdUBkIiIlgwo+4rYMnl5U6fI0mE1kHN7p1Fj2HjzLoLHrye+AnmXHICw7BuXbzuQZ2/l17RE7R1d0rtTXUdv+5eVpm/JdpjB9/eLUTfy185Q9QxMRkWvgSjlmR2wiQydE5btMYXLM6I/+YdWf8fYMzS5cqa9Xb4pn5If5H+gqTF8PnfAH2/eesWdoIiIlhgo+4rbMOdmcWvoxBi9vytZp5rQ4LBYLA99YT2aWyS7tDX5zA8mXDPLsClylr7NzTAwck39hrbDMZgv9R68jJ0d3WBHXZzSaOXkmw+W2De4oJ8fMv2cybAaAF8dylRxjMpkZMHrdNZ3ZcyWDxq4n/ZKBh12Bq/R1eoaRQW+st0tbRpOFAaPX645pUiJcyOfnUpXPHS07x3Rd5HMVfC5hNpuZNm0a9evXp0yZMjRr1oy1a9fSoEEDBg8e7OzwpJAS5k1k2yMV2TmoJmc3LaLuaz9RptrNTotn7ZYTRG0r/Jg9BUk4lcE3i/fZrb2icLW+/un3Q1d1jX9B9sSd5ec1h+3Wnoi9JSZnMXL6Fqp2mE1g+9lUvOM7Qvv+wvwVB50dmtuJP5nGS1P/pHK7WVRtP5vybb7lrsHLWBF1zNmhuS1XyzHLo47zzx77nSlyOD6V2UsP2K29onC1vp6z7ACH4lPt1t7WmDP89oe+q+K6TiVm8Np7f3FDxPcEtp+NX+h3hA/4lcXaD7W7IwmpPDspikph1nxeIeRbugz9jTV/ud5Zl/agu3RdYtCgQSxYsIDRo0fTsmVLoqKi6NOnD6dOneLll192dnjF6s6oNXQICOT1oMaFmu5KqvUcSbVeo5wdRq5P5+6xe5uf/LiH5x5pjMHg3FuOXi993bNTHbu3K1JUJ89kENb/V/YdPmczfdPOU/R8dTWvP9GMic+3clJ07iXu2Dnu6Pcr/57JsDmDcPVfCaz8M57pw9vw3CNNnBdgPpTP7efTHx2TY57o0cDu7V4tl+vruTF2b/OTH/dwb7tadm9XpKjiT6ZxR79fORyfyqUnqW/YepJ1f69kwrMtGTm4udPicycxB8/Stv8SzpzNzM3nFgus2BjP8qjjfDEmzCW2yfakM3zOmzNnDjNnzmTx4sW8+uqrtG/fnpEjRxISEoLRaKRFixbODlFKIIvFwkoHXKO/91Ay8SfT7d5uSZaeYeQPO55JdcGGrSfIzHKtU+5FwDouxYEj5y6bfmFw00lfbuf3jceLOyy39MhrkZxMzLzsctELff3CW3+yIzbRCZFJcTGZzKz+K8Hu7W6NOUNicpbd2y3Jks5lXdXdzworcvMJXdYlLmngmPUcOWFb7IGLOWbUR3+z4Z8TxR+Ym7FYLPR6dTWJyVlXzOcWCwx5cwOxdrxawBWo4HPepEmT6Ny5M+Hh4TbTb775Zry9vQkODgZgzJgxBAUF4eHhwfz5850RqpQgh+NTHbYjt8UBO0Ml2fbYM9d0F4+CGI0WdsQW/tbuIsXh6IlUfl59mPxWeQ8PAx/O2V18Qbmpv3efZtPOUwVuXz5xwNkf4jr2HkomPdMxxX9HFDdKsn92O2aA5fRMI3vizjqkbZFrte9wMsujjmPOpxbp4WHg4x+UY4rqj63/snNfUr753AJ8Ns+9+lqXdAHHjh0jOjqal1566bJ5R44coUmTJpQuXRqAzp07079/fwYOHOiQWBx1iU52114OabcgRX0/LRfZ/wd8Qez6GfjcDPWG20wq6G4Sec03BM+w+bv7Q/0hMbIo0dko8X1doSXUHmozyV59fXvY3XBua9HiK6qmXwKO20bIJUpCX/vdBrXyH1vObLbwy6pYDIZOxRSUmwroBNXyz6EWC3w+ay2fjwlzeDjK54Vn1++wb2OoY3t5v71yTKd7esHZ/O/8dTVKfF9XDIUbbfez7dXXTVu0g9RdRYuvqEpCjnEXJaGv/dtCzcfzXcRstvDDr9v44e0OxRSUm7rhPgjsnu8iFgu898Uy3hsWUkxBXTtLIe9So4IP1oIPQNWqVW2mZ2RksHbtWrp06ZI7LTQ0tFhjc6Yp+/bw3oG9NtNSTUY6BAQ6KaKCNZgY6ewQ/sORCca5ycvl+tqhydyFdxTk+mQo5Am6hV1O8lHy+1r53B4cmAec/GPU9fpa5DpS6O+/6+aYkqOw+dzTsWEUMxV8gICAAABiY2O55557cqdPnTqVhIQEWrZsWWyxFLZSd7VyuvW+6ucMr9/oioM8Xo2ivp9Wi4v09Gtiz89g78GzNLz/J5tp/z3alPu6549O5TX/v36c/SW97q5btAAvUdL7OnJzAu0HLbWZZq++Xrd6CW1bVi14QQe6EKujthFyUUno690HkmjywIJ8l/HwMBDa4kbWR7vu+ygJVm+Kp+OTy/JdxsMDena7jR+mOr6vlc8Lz57f4a17TtOi9yKbafbKMb8snM194fYbTLik9/XS9Ue595kVNtPs1ddbNkXSsnFA0QIsopKQY9xFSejrv3efptXDi/JdxsPDwF3tGvDbbtd9HyXBr2uP0PW53/NdxsMAjz8cwVdvuk9fq+AD1K1bl+DgYCZNmkSlSpWoUaMG8+fPZ+lS64/H4iz4iHupX9sPXx9vUtNz7N62s3dYXM2tDSs7pF2DAW5t5Ji2Ra5V43r+tGsZyIatJ/O8Ft1stvBM70bFHJn7aX9bNerXqsCBYyn59DUM7aW+dmdNbvanlLcH2Tn2H/RX+dxWCwflXG8vD2652d8hbYtcq5aNA2jZuDJbYxLzzedPK58XWZewmtQMLEf8qbQ8x0wyW9wvn+vcMMDDw4N58+bRpEkThg4dyoABAwgICOCZZ57B09Mzd8Bmkavl4WEg7Fb7nzJf/QYf6tYsb/d2SzK/8qVo1qCS3du9tWFlfH287d6uSFF9PiYMP19vPDyufDp4r0517HoW4PXKYDDw7cRwSnt7XNbXF87Ef/6RxrRz8lmA4lilvD1pE3yD3dutd2N5qlXxsXu7JVnVAB/q165g93Zvb1qF0qXc61INcQ9fvdkO37JeeeaYx7vVp2uE/c4CvF55enowa3I43p555/PXBgbT+pYqTojOcVTwOS8oKIg1a9aQlpbGkSNHGD9+PDt37qRx48aULVvW2eFJCTb4oQb2b7NHA9cegM5JBvewf18P6dnQ7m2K2EPDOhXZ9H03HuhQ22bHpUqlMkx4tiXfT4nIsxgkV6dNsxv449v7uKtNdZvpNQPL8eGIEN5/rY22ydcBR+TzIQ8px1zJ4B727xflc3FVwUGV2DirK/e1u5FL03Zg5bJMfak1X73ZVjnGTsJbVWPdzPto37qazfSbqpfn8zF3MPmFVk6KzHFU8MnHli1bLruca/To0dSsWZONGzcyZMgQatasyYEDB5wUoeOsDG1/2fX++U0vjE2bNhEaGkpYWNgV74gWHx9Phw4dCA0NZeXKlVgsFkxpycTPGYvFZMKUnoLFYuHge30BODF/CntfD2fPK61J2rjQpi2LMYeYYSFs7e1LZsJ+m3lJGxewY+CN+S7n5+dHREQEERERJCYmAjBlyhTCwsLo0aMHaWlpAHTt2pW2bdvSsWPH3MG/ExMT6dWrFx06dGDixIl0Da9FhaTvYP9EiJsKZzdZX+TkUuvf+ydA8j8AjB07FvaNtU4/df769cx4ODDZ+jjxM74+XtzTphwdOnSgXbt2zJ07F4CZM2fmxuzv78+2bdswGo08/PDDtG/fnmHDhl3T5wZw6IP+7Hn1dkxpyVhMRg6+15eY4WGcmD8FgNTdG4h+uiGnV3xJztmTHJ1hvZOJKS3Z+tnOGYsx1Xor1LR9m/l38fsAtGvXjvDwcDp27MjJkydtXnPZsmU0bNiQsLDL73pz//33M2rUqMuWe+y+m7mhUhlI+gP2jrT2Y8I865NM6XBoOsRN5f33ra9Petz5vp0C8T9cfNJdQ9AAACAASURBVIGUXRA3De+j79ComvU9XGmduFL8DRo0yF1u927rLbE/+OADbr/9dkJCQti4cSMA3333HSEhIXTu3JkTJ04A8PDDDxMREUFISAjNmzcHYNu2bdxxxx1w4C1Ii73qz+4CPz8/RowYAcDEiROpXr16bh8CjBo1iooVK2I0Gpk+fTp//fXXNb+WFJ/6tf2Y/25Hjv3+cO6047/3YeTg5nh5KcXb062NAvjts84cXn5xDJ2Dy3rxbJ/GLr0jrnxuv3z+0F11KHfmW7vlc/8KpejUqozy+RXy+YDu9fGvUMpu+bz0sXeoW9l6u3flc3FFjev5s2j6XRxZcTGfH13xMP83IFgHb+zstqZVWPm/LhxcdvGul/uX9GTwQw1dOp9fK+0N5iE1NZXY2FhatGhhM338+PEcO3aMrKwszpw5w7Fjx6hXr56ToixZateuzerVq9mwYQMnT55k586dNvOnTJnC+PHjWbFiBRMmTOCPP/5g1/PB/PvLB8QMvwNT2llStq+iXP3byD4TT/LW37AYc6jWawwnFrxluzOZlUG913/GP/Qhm9fY2seP+O9HUyrgRhLmTmTHoFr4BN2eu9zxWdYkecsttxAZGUlkZCSVKlUiISGB9evXs2HDBh555BG+/NJ6m8fp06ezfv16hg8fznvvvQfAuHHjePPNN1m9ejUjR47Ey8uDO24NhFpPQN1hUPF2azBVOln/rvMqnPrtYpDVelmnVzl/K+XESKjaA+qNgIwDjB/aiJlfTmfixImsWbOGL7/8EqPRSP/+/YmMjGTlypXUrl2bZs2asXDhQpo1a8aaNWvIyMhg+/bt1/z51XnlezzL+XH2r8WUqdGQhlM2kLpnAzlJJ/BtHEbVHtbbz3tXvAHjuVOY0s+RfeYY8T+8Seru9SSu+RaAU0s/pnL7fgCsWrWKtWvX0q9fP7755hub12vTps0V492xYwcZGRlXXK6Cbyk+G33H+f6929qP1Xqe78d11r6vO4z169dz+vRp8K5s7f96w8GYApnHwJxtXbbOy/y08Dfa3mH9vJo2bWqzTuQVf5UqVXKXa9zY+mNq5syZbNy4kfnz5zN16lSMRiOffPIJGzZsYOLEibz11lsA/PDDD0RGRjJs2DDuu+8+AMaMGcOPP/4IdV6Ek0uu+fNr2rQpkydPBuCJJ57g+++/t5k/YcKE3J3Svn378sknn1zza0nxu/SSEG9vpXZHqlXNN/f/np7XZ19fr/m8dClP7mgeCDfaJ59PfrYJX3z2gfL5FZarXLEMH444f1tkO+TzX5f+TmiI8rm4vhqB5XL/rwM3jnVTjYvDY7hzUU1rUR58fX0xmUw899xzzg7FbVStWpUyZcoA4O3tjaen7XXUO3fuJDQ0FF9fX8qXL09gYCBVOg+hXP3WmDPTyDwWQ/LmXygf3IETP02hxmMTqT9uBScWTKbsjY05tfxzUmOiSJg7HnN6Mt4VLx87x7tyDQK7vwIeHgR0eoK6r8zGs8zFnfcaj1mTZExMDG3btmX48OFYLBaOHDmSm+ybN29OVFQUAHXq1Lns/URHRzNp0iTat2+fe/QnsLIPN+b8aD0ilW09woTh/JjplhwoUx1D8AzGffoPJMyHuHcg44h1fumq1qNZFjOBlcsyuOctxMXFERwcjKenJ4GBgezbty/3Paxbt4527dphMBhyl/tv3Pk5u/lXjn39f1jMZvaN7Uz2qSM289P2/kmF5ncBUL5pe9JiLz9yVK5BCOe2r8TmNrYGAxaLhewzx/EqXym33wAyMjJo0qSJTRv+/v6ULl36sranT5/O008/nedyD3S8iQ63V4PTK61H0VL3WGdkn4IyNQFYsD6bKq0ngLcfeJwfn8fgCXhA+gEwGKiV9SVzZ4zMPfq7Z88em3Uir/gTExNp164dQ4YMITMzE4CbbrqJrKwszp49S+XKlTlz5gw1a9bE09OTZs2a5a4nFyxcuJAHH3wQgKSkJGrWrAkepcGcbbNznJc+ffqwbds2du7cSc+ePS+bHxgYmO8RDH9/f+Lj4136rhYi4jzXcz6vfkM5amT/UOR8Xq2KD327NVQ+zyefP3JPPcJaBBY5n9+UM4NvPh6ufC4i1yUVfKTY7dixg1OnTuXucF1gMplyk5afnx+lSpXihnuewbdhKD71bsWjXEUyE/ZR6oabyDi8k3INQzn+zTDSD/yDb6M7sNkZAeKm9cGYkkjWsb0ceMuaJI1nT1Ip/DEA6w5kHklyz549rFu3jqSkJH755Rfq1q3LX3/9hdFoZPXq1Zw9e9Ym7gkTJjBkyBAAoqKiGDFiBD/88AP/93//B8A777zD4f3bGPDk85Aw9+ILHZ9lPeXb9/xo8JU7Qv0xUOMxiJ9jnebbGOJ/wPfYWAY92gUfHx8aNGjA2rVrSU9P588//7SJZ8GCBTzwwAMAucsBrFmzxma5vFRsfR85Z//l8MeD8WvdlVJVbAeJM6WdxdPHOpiip48fprTL2yxdtS6Zx2LwrlSd6g+PwbdxWypF9MWYfArPchVzlzty5AghISF89NFHNG3atMDYYmJiqFKlChUrVsx3uXlfvMrQkT9C7aet/W0xW3e002Kt/0+Pte50X5BxFEwpUKY6GM9RzT+H/bv+IDQ0lM8//xyAffv22awTecW/YcMG1q1bR+3atfniiy8AaN++PQ0bNqRTp048//zzBAQEcPDgQdLS0lizZg1JSUm5oeTk5LBz587cswurVKlCdHT0+SOWxwv1Gb7//vu88sorvPLKK3zwwQcFLn8lF46Ei4jk5XrN50fjtvNo/2evOZ+XPz6OgY8onxeUzw0GAwtn/B/9/+/7a87nNSrlsC96g/K58rnIdUsFHylWiYmJPPvss8yYMeOyeR4eF1fHc+fO4e/vj2c5PyqGPIjx3Bl8g1pfXNhs3Zms9dQn+N3WjRM/vUWVuwfj2zCUar1G41muIjc+8T5p+zeT8NNkbnziA87tWI2nTwU8vEsVGGelSpUwGAx0796d6OhoqlSpwmOPPcadd97Jvn37CAy8eLTxlVdeoV+/frmX9gUFBdGoUSMCAwNz39OF9r56ZxCNa3tQ88LpmjUeg6DxF0/t9Tp/dLL0xfa9Ti/m9Tc/4ezpI+zevYtDhw4xYsQIvvjiC3r27EnDhg1z47FYLGzYsIF27doB1jEJMjIy6NixI6VLl7aJG6Bjx45ERETkXnN+QZXOQ0j6Yy4BnZ64rG88ffwwpZ8DwJRxzmaH77+8fK3zqvcZm/v/S9WqVYuNGzcybtw4pk2blmc7F7z77ru88MILBS5XqZI/H4+6gx/e7UYpX+tOH5XaQfp+OPQ+eFUEr/N3ADGmQvxsqNGfKv5lGDG4DY8/3AVvby86dOjAnj17zrdpu07kFf+F08MfeOABoqOjOXfuHLNmzWLfvn1s2rSJ4cOH4+npyZgxY7jnnntYsmQJQUFBubFHRkYSERGR+/eUKVN4+eWX4fh3ULYmAQEXb9/7+++/ExERwYsvvmjz/gMDA6lbty516tShenXbQWZFROzhes/ns6Y/SaNaBqoGnL+xRyHyufeZxbwx+TOSTh1m165o5fNC5POAgEp89WY43751L97lqhU6n1cNKMvooaH07d0FLy/lcxG5fqngI8XGaDTy2GOPMW3aNKpWvfz2tcHBwWzcuJG0tDTOnTtHhQoVMKYkcvTzZ7npOesOZZlq9ck+eQg8PDDnZAFgzkzH07cinuX8qN5nLAZPTzx9yuNdMRDPMuUpVbkmpSpXJ/NwNMaURPaN7UzmkV0cnzXqshjAeoTPZDIB8Mcff+Tu+D355JO513Hfe++9AMyYMQODwUC/fv1ynx8UFERCQgJpaWkYjUbAusMLsHfvXurUuoHdPz/I+//Xkltu9gdDKfAoc/7Fz5/ea0yhlDe8+UwLuoTVZGDPFnh6euLn50dKSgqBgYH8/PPPzJ8/n9KlS+eeir5582ZatGiRezq6p6cnH374IatWrcLT05O7777b5r2uWrWKyMhIm8/DYjaT8ON4qj/8Bid+mnJZ/5RrGMK5HasASNm5hnL1W1+2TNaJOMrUvPxuGF5+VXKPIFqMObmnGFeoUKFQd8M7fPgw/fv3Z9iwYcyZMyf3aOd/nTt3DoPBQLfwajSsnsWUV9pTr3YA3Pgk3PQiYAafemAxwdEvqXnrAKYNv4uYxQ/x0pCuuTuF27Zto06dOqSlpV22TuTkXB5/dnY2WVlZNst5eHjg4+NDqVKl8PPzyz2lvFu3bqxdu5bu3bvTtm3b3NgXLlyYe0QXrOvTihUroEZf8K6Ue9o5wF133UVkZOTFQSvP27FjBykpKZw8eZK9e/cW2K9XkpiYSLVq1QpeUESuO8rn1nxet3YgMYse4p2XW9Cwjl+++XzS863oElaTvt2bK59z9fn8oTtr0rBGFuNfCKd2zcp55vNaLQbw/shOxCx6iOeeuFf5HOVzkeudl7MDkOvHvHnz2Lx5c+7dJSZPnkxISAjPPfccH374IcOGDaNfv35kZGQwbtw4jEYjB997jJoDpuHtb92B8Wt1Lyk7VlO2djBxbz+MMeU0GQd3cNMLXwNwetVMytZuSrmbWxL7xt1knzmKMeUMJ5d8wg1dnyfxj7nUH/sbMcPDqPHYBFJ2RnJ24wJMaWfJjN9H1QeHQUYGbdq0oXz58tSpU4dx48YB0LNnTxITEwkODuadd94B4Omnn+a2224jIiKC8PBwxo0bx7hx4+jTpw8ZGRm88cYbADz66KMkJSVhMBj49NNPKV+uFHv++IzKiTG08smk0+vDqN3wDr77bAynEuLwKevBuz9/QUTErfzd6nX69u2Lp6cnjRo1omnTpixZsoRp06bh6enJW2+9lXvq/KXXigMcP36cRx99FA8PD/r160eNGjUK/JxO/jqdim0eoErnIRyY8hAZR3bZzK/YuiuHon4iZngYfi3vwbvS5TsRaTFR1Bry8WXTDQYD3pWqY0xJxJyZSkREXzw8PChdujQzZ84EyF0ftmzZwvDhw4mOjubOO+/k119/Zfny5QC5g1mGh4dfcbn33nuP3377DbPZzMiRI+jVqwUdm5t5/oWXSUk3EvH0k9xyaztit69g5qcJ1PNazi9fLyc0yLpOhoeH065dO3x8fJg9ezb79u1j4MCB+Pr65q4Tx48fp29f2/iTkpLo0qULvr6++Pv7M2vWLHx9fenUqRMhISGYTCbGjBmT+z537dpF7dq1cwdUtFgsbNy4kY8++ii3z2bMmMGsWbPg6Gmo8WiBn5/JZOKVV17hu+++Izs7m6eeeoolS2wHh5wxYwaffPIJiYmJJCUl8fHHtp9VUlIS1apVc8s7FYhI0SmfX8znfuVLEfvn5wQmx1CubCZ3DR9GncZXyufN+PtW5fOi5PNRI1+nV69WdG4Fzz3/MqkZ1nzetEU7Yrf/ztefJlDHczkLv1zObfWUz0H5XETAYNEoXteFnG69C17IAbwX/3jNz50zZw79nnqeMrWsg+fV6DuZM2u/x5yeTI2+kzn0fj/M2RlU7zOOCrd2snmuxWRi37jO1HnpOyzGbA5/+hQ3j17C3hFtaThlAwCnf5/BqWWfYExJxK/lPdR6ypokfd+NYOXKlXh5XV/10FaL85537OtXSd37J/VHL8GznN9l81N3b+Doly8S+MD/Ub5pe07Mn8yNT7x3xbbS9m0mdc8fBHZ7kS3d7BW9+zMEW4+KW3YMuqbnN2zYkAceeCD3zh7/NWrUKObPn8+uXbv4+OOPuf3227n99tuvOd6SrKh97SwlNe6SyJl9rXyufF4Q5XPXpnxefEpqXiypcZdE10Nfq+BznSiJO4iQ/07LtYh+uiH+bR6gRr8rJ8njs0bht8OaJP971xF3Z+++LgztIBbe9ZCQXEVJ7euSGndJpILP1VM+Lz7K565N2+riU1L7uqTGXRJdD319fR3ykOveLZ/E5Du/xmMT2NJtQjFFIyIiItdC+VxERKRgKvhcJ4p6ZM5ZdMSo+KivRURcn/K5FER9LSIiF+guXSIiIiIiIiIibkYFHxERERERERERN6OCj4iIiIiIiIiIm1HBR0RERERERETEzajgIyIiIiIiIiLiZlTwERERERERERFxMyr4iIiIiIiIiIi4GRV8RERERERERETcjAo+IiIiIiIiIiJuRgUfERERERERERE3o4KPiIiIiIiIiIibUcFHRERERERERMTNqOAjIiIiIiIiIuJmVPAREREREREREXEzKviIiIiIiIiIiLgZL2cHIMUjp1tvp7yu9+Ifi/T8VovtFMhV2NKt+F9TxNU547sI+j6WFFo/io/yeeFdj+uHSEG0vZb8aP1wPzrDR0RERERERETEzajgIyIiIiIiIiLiZnRJl4iIi0o4lc7CVYfYsvt07rSwx3/llpv9ad0kgAc63kQlv9JOjNB9HDyWwuLIwzZ9HT5gCcFBlbi9aRW6d6iNr4+3EyO8XHaOiV/XHiVq279s25uYO73Xq6tp2bgy94TdSNOgSk6M0H2kZxhZtOYwf+44yfbYi3396PBIWjauTNfwWtSv7efECEXElR07kcbPaw6zZdfFHNP28V9pWt+f25pWoXv72lSsoHxuD/uPnOOXtUds+jpi4BKaBVWiTfAN3N++Nj5lXesncGaWkV/WHmXj9n/ZFnMxxzw8bDUtGwVwb7sbaVzP34kRuo/U9Bx+Xn2YTTtPseOSfN739UhaNgrg/va1qVOzvBMjtD+DxWKxODsIcTxd8194uoZUnG3/kXO8Pn0LC1cdwmjKexNdprQnj9xTjwnPtqRaFR+HxuSu13RviznDqI/+Zun6o+SXDcuX82Zg9yDeGHor/k7eKc/MMjL16518/MNuTiZm5rts2K2BjB3ago5tqjs0JnddP86lZjPhi23876e9nE3JznfZTqE1GP9MS25rWsWhMSmfF57yuTjbnrizjPxwC4sjj2DKJ5/7lPGiX9ebefOZFlSpVNahMbnr9npz9ClGf/Q3y6OO57tcxfKleOLBBowe0pwKvqUcG1QB0jOMTJ6xnc/mxXA6Kf98HtG6Gm8+3YK2Las6NCZ3XT/Onsti7Kdb+ernWFLScvJczmCALmE1mfhcK5o3rOzYoIqJLukSEXERFouFD2fvIrjHAuatOJhvsQcgM8vEVwtjafLAT/yw7EAxRekezGYL4z79h9Z9FrFkXf7FHoCUtBw++H4XtzywgOV/HCueIK/gn92nadF7EW988k+BxR6ADVv/5c7By3hq/B9kZBqLIUL3Ebk5gaY9FvD2zJ0FFnsAVkQdJ6TvL4z4YDNGo7kYIhQRV2WxWJg2cye39lrIwlWH8y32AKRnGvlsXgyNu//EwlWHiidIN2E0mnn9gy20eeyXAos9AGdTspn2zU6a9ljAmr/iiyHCK9u04yTNey1kwhfbCiz2gDUntRuwhOenbCQr21QMEbqPFVHHaPLAAj74fle+xR4AiwWWrj9G6z6LGPvJP5hMJT+fu9b5bCJFtHdkBGkxGzF4eYOHJ6UD61Kt1yj8Q3s4OzSRfFksFl595y/e/Tb6qp+bdC6bPq9FknA6g5f63uKA6K6eK38XTSYzj49ax/dLrr5IFn8qnXueWcG3E9vx6L03OyC6vK3dksC9z6wgLePqCzefz4sh5uBZlnzUiXIucmmaK68jC1cdovf/rSHnKgs3ZrOFKTN2EHvoHD9MbY+3t46rXStXXj9E8mOxWHhmYhSfzo256ueePpvFgy+t4tNRoTzVq5EDort6rvxdzMkx0+e1Nfy08tBVP/dIQhqdhvzGD1Pb0+OuOvYPLh8roo5x/wsrycy6+sLNh7N3s/dQMos+uJMypV3jp7wrryOzlxyg38i1mMxXd1GT0WRh3Gdb2XfkHN9ObIenZ8nN5yU3cpE8VOs9mlt/TKX5rDNUateHuLd7k3k81tlhieTrve+ir6nYc6mX397E3OVxdoqo6Fz1uzj8/S3XVOy5wGy28PjIdURuTrBjVPmLPZRM1+d+v6ZizwVrt5zg0RGRuNKV3K64jmzacfKaij2XWrDqEM9P2WjHqK5Prrh+iBRk4v+2XVOx51JDJ0TxS+QRO0VUdK76XXxx6p/XVOy5wGiy0Oe1SP7cftJ+QRUgel8i3a+x2HPBiqjjDByz3o5RFZ0rriNrtyTQb9TVF3suNXvpAYa9t9mOURU/FXzEbRk8vajS5Wkwm8g4vNPZ4YjkaU/cWV6fviXfZSw7BmHZMajAtoZOiOLE6XR7hWYXrvRdXP/3Cd75Nv8YCtPXJrOFAaPXkZqe/6nB9mAymRkwZl3BpyEXIu5Fa47w3S/77RmeXbjKOpKRaeTxUesKLPYUpq8/mxfDiijnXf7nTlxl/RApyLaYM4z7dGu+yxQ2nz85bgNnzhZ8qU9xcqXv4u8bj/PJj3vyXaYwfZ1jtJ71WxyXPefknH+tAoo9hYl7zrI45q84aM/w7MJV1pHU9Bz6j1pX4OWUhenr976LZv3fJ+wZXrFSwecSZrOZadOmUb9+fcqUKUOzZs1Yu3YtDRo0YPDgwc4OT66SOSebU0s/xuDlTdk6zZwdjkieXn1nE1nZ9rlGODE5izc++ccubdmLq3wXLRYLL7z1Z4Hj9RTWofhUps10/M7MD7/FEbXNfkcfX3nnLzKzXGs8H1dZRz7+YQ97DyXbrb3nJv+JuQhHFsXKVdYPkYK89PamAsffK6x/z2Qw4YttdmnLXlzlu2ixWHhusv3Ooow9nMyHs3fbrb28zFwUyz97ztitvRem/klOjmuNMeMq68i730ZzKD7VLm1ZLPDclI0udYb01VDB5xKDBg1i/PjxDBkyhGXLltGrVy/69OlDXFwcLVu2dHZ4xerOqDVMir18w5fXdFeSMG8i2x6pyM5BNTm7aRF1X/uJMtWKd6wNkcI6cPQcyzbY9yyAWb8eILkQg8w6mqt9F//ccZKtMfbb0QL44qe9Dt/Z+viH/I9gXq3TSZnMc5Gjgq60jpjNlgKPFl+t2MPJrHbioKCgfC5SXHbtT7L7pb5f/7yPtGI4k7QgrvZdXL0pwa7FebCelenIAXotFgsf2Tmfx59MZ3HkYbu2ea1caR3JyTHz+fyiXVb5X9v3JrKxGC/9syfXGOnJBcyZM4eZM2cSGRlJeHg4AO3bt+eff/5hwYIFtGjRwskRSmFV6zmSar1GOTsMkUL58bc4u51xckF6ppFFaw7Tr1t9+zZ8lVztuzh7qf3HN0o4lU7klgTuCqlh97YBDh1PccgOxvdLDtC3q3PXD3CtdWTTzpMcPJ5i93a/X3KAO9s4Zv1wd660fogUZI4D7paZnJrNsg3HeKhT8Q4q/F+u9l2c7YC+Png8hT93nOKOWwPt3jZAzMFkdsQm2r3d75ceKPZBp6/EldaRdX+fIP6k/Yc3+H7JAUKbO2b9cCSd4XPepEmT6Ny5c26x54Kbb74Zb29vgoODSUpK4r777iMoKIhmzZrRqVMn9u93vbEQRKTk2LzrtEPa3bLbMe2WZJujTzmk3S0O+gzBsetHST012VE2Rzuorx24foiI61A+Lz6Oy+eOaRdK5j5ISbXZQZ9jSe1rFXyAY8eOER0dTc+ePS+bd+TIEZo0aULp0qUxGAy8+OKLxMbGsn37du677z4GDBjghIhFxF3sOpDkmHb3O6bdkmzXgbMOatdxfe2oz/HM2Sz+PZPhkLZLKkd9jrvjzmocH5HrgKO218rntiwWC7vjHJXPHdOutW3HfI5HT6RxLtX5l/G7Ekf1dXQJ/S7qki6sBR+AqlWr2kzPyMhg7dq1dOnSBYCKFSty55135s4PDQ1l6tSpdo3FYDDYtb0Lsrv2uurnTNm3h/cO7LWZlmoy0iGg8KeyFfX9tFxU/DvJjvoMRK6o4VTwrmQzKb+7BeQ1zxA8w+bv1ZEbMBjuLXp85znjuwh2/j7e8gUYLh7nKOiuDIXt6+9nz+P7Ke2LHt+VVO0BVboUKq6C5v837mrVa0OOfY5WucX6UXMg+IfaTLJHX5vNFjy9SoHFPgNlK58XnvK5FKtGH4BXudw/7bWt/nXpCgyGu4se33klfntt8IJbPrOZZK++/t+X3/C/sW2LFl9eqvWBgI6Fiqug+f+N28+/ChjPFS2+80r8+gFQ6ynwa2UzyR59nZ6R7VJ5pbBnaqvgAwQEBAAQGxvLPffckzt96tSpJCQk5Dlg8/vvv0/37t2LJUZnGF6/Ea8HNbaZdmfUGidFUzgNJkY6OwSRq2N20N2SzM492uOS30VLDhhKO6BdB/a12YGDdVqcOxCoy60jjuoPixks+d+C19GUz0WKgaO2Icrntiwm63bV4IALVRyZzx2Zcx25r1AILreOOGrf2sn7TddKBR+gbt26BAcHM2nSJCpVqkSNGjWYP38+S5cuBbhiwWfcuHHs37+f1atX2zUWR42pkNOtt0PaLUhR30+rxXYK5CpoXAspTt2e+51f1h6xmfbfIzdw8cjDleZdydODHuTjkdOKHuB5zvgugn2/j637LLK5/jqvvrzavh4/6mlGDf5f0QO8gh+WHaDPa5E20+wRt3+FUpzJTrLbkSp3WD/e+y6al9/eZDPNHn3dqF4ldu+0351flM8LT/lcitOdTy5j1aaLd+WzV4559bnHePuV6UUP8Dx32F43eeAndl9y+ZW9+vqdSa/ycr9vih7gFXz9cywDx6y3mWaPuKvf4MPxHfYboNgd1o+JX2xj1Ed/20yzR1+3vKUGW6JLXl7RGD6Ah4cH8+bNo0mTJgwdOpQBAwYQEBDAM888g6enJ8HBwTbLT5gwgV9//ZXffvsNHx8fJ0UtIu6gVZOAEtVuSdaqsYP6unEVh7QL0KqJY9pu2TjApU5LdgWOWz/0XRS5HiifF5+SuL0uiTGXVPou2lLB57ygoCDWrFlDWloaR44cYfz48ezcuZPGjRtTtmzZ3OXGjRvHL7/8wu+//07F4D1R9AAAH45JREFUihWdGLGIuINed9v/VpqlS3nQLaKW3dst6Xp3rmv3NgP8y9D+tmp2b/eCejeWp0WjynZvt/fd9u+Lki6k2Q3UDCxX8IJXqXdn598uV0Qcr5cDbp3u6+NFl7Cadm+3pHNEPq9xg49Db7l9S31/GtW1/29H5fPLRbSuRhX/MnZvt7cD9tmLgwo++diyZYvN5Vy7du1i7NixnDlzhoiICJo3b07z5s2dGKHjrAxtf9n1/vlNF5Fr07BORTrYuWDwcOd6VK5o/0RX0oW3qkrjevbd2XriwSBKl/K0a5uXMhgMPN27kV3b9PMtRZ8u2kH8Ly8vD4b0bGDXNm+q7kvnO5z7Y035XKR4tGgcQJtg+56V2fe+m6ngW8qubbqDu0NrULdmebu2OaRnQ7y8HPfT2BH5vIp/GXrcdZNd23QHpUt58sSD9s3njepWJKK14w7wOZIKPnlITU0lNjaWFi1a5E5r0qQJFouF/fv3s23bttyHiBTdpk2bCA0NJSwsjJdeeumy+fHx8XTo0IHQ0FBWrlyJxWIhOTmZsWPHYjKZSElJwWKx0LdvXwCmTJlCeHg4rVu3ZuHChTZt5eTkEBISgq+vL/v377eZt2DBAm688cZ8l/Pz8yMiIoKIiAgSExNzXy8sLIwePXqQlpYGQNeuXWnbti0dO3bMvRtgYmIivXr1okOHDkycOBGAcme+gwMTIW4qnD0/hsjJpda/90+A5H8AGDt2LOwba51+aoV1ucx4ODDZ+jjxMxXKefNU9yp06NCBdu3aMXfuXABmzpyZG7O/vz/btm3DaDTy8MMP0759e4YNG3YtHxsAhz7oz55Xb8eUlozFZOTge32JGR7GiflTAEjdvYHopxtyesWX5Jw9ydEZLwNgSku2frZzxmJMtV6Ln7ZvM/8ufh+AvSPaER4eTseOHVm2bJnN+rFs2TIaNmxIWFiYtY1L1o/Q0FBGjhxJcnIyjz76KA0aNKBNmzYAVMuYDUl/wO4XYddzsOdla/+a0uHQdIibyjvvvENISAhED4V9b8KBKRD/g/XNJv9tfW7cNLyPTGPxFwPw9fWlfPnyuf1boUIFIiIiqFixIqGhoXTs2JFRo0YRFhZG+fLladu2be6ybdu2JSgoiFtvvZWQkBCWL19Or169aNy4MbVq1aJz5878Nmc0Psffgt0vQewo2D8J9rxiXQ9ix8DekXDgLQYMGECzZs3yXT8Ahj1Wna733W2zfpQtW5ZatWoRERFB6dKlad68OXfccQedO3emffv23HnnnVStWpX9+/ezaNGi3Odd7fqRHreVXc83ZeeTN+XOt8f6cfLkSZvX/O/6can777+fUaNGXXG5Fx+7hQDL39Y+jZsKCfOsT7pk/eD074B1m2Xt20vWD4CUXRA3DeKm8uwD5fD09LjiNqNdu8vjb9CgQe5yu3fvBuCDDz7g9ttvJyQkhI0bNwIw6+gh2m5YxX1/ruNEZgYAj/69kTuj1tB2wyparbV+/tuSkwjfsIr2f6xmw5lThf7M/itg2UJGjBgBwJAhQ7jjjjsICwtjx44dAHz00UfXvH7I/7d373E53/8fxx9XV+fzQUqZxDpSbMa3kkPTaGOGMXyl2X4bfkY72Cy3TdNiDl/GF2OMxc/5O8w2bVgnpBx2QDW1vqio0FdHdaWuq35/XLqScpwdvnnd/6Lr3af39blevZ/v3p9T6/Mw57lt+ZYHlue2Vka8PKSN5HkLea6np6BD7bYHlueG5xexfXnY757nSbtmY3Jh/gPL85lh7Xk65CnJ8xbazXjJB2v18QeW568NNUGhUDzwPN+4cSP+/v6EhIRw8eJFAMaMGUP//v3x9/fXnVxy4sQJevfuTZ8+fTh0qOm9oO5EFnxuwdzcHI1Gw7Rp0/7srjy0jh49SuaMADIjAjm/tumEoeZKAb++/ySZMwIoP6GdLGgqyyjYOpt6jQZNVUWL2/x5rBX5/6edtOaunETmu73JjAikKkc7ab0c2zhpFX8sFxcXEhISSE5O5vLly6SlpTV5ff78+URHR7N//37mzJlDbW0tq1evJiUlhejoaEpLS4mPj6dXr14ATJ8+nQMHDpCYmMiCBQuabEtfX5/du3czcuTIZv3YsWOHboJ4q3Y+Pj4kJSWRlJSEra0thYWFHDp0iOTkZP7+97+zdu1aAJYtW8ahQ4eIiIhgyZIlgPay0A8//JCEhATee+89AGytjHg9Ygl0mgHWf9P+EPuB2v+7vg1Fe1H4riNq1U/Q7gXt1+0HatsVJ2kf3d15JqjOMG+qNxtjVjB37lwSExNZu3YtarWaCRMmkJSURFxcHC4uLnTr1o0vv/ySbt26kZiYiEql4uTJk/f9+blO34zSzIrSY19j7OyJ5/xkrp5OprbkIubegTg+HwGAgXVb1OVFaKrKqblygYJtH3L1l0MUJ/4fAEXffoJdUBgA7tHxHDhwgLCwMFJTU5vUh6WlZZP+NtTHxx9/TGZmJnV1daxevZqCggJGjRqFRqMhPj6e5wb3J6hnO3AYBl2Wg/tHULQXig9q932nGbwdtZkjV54Bi27Q/n+gcwSoK6D6ApQdB+qh01vs/nofCQnxjBw5End3d11N+Pr6kpSURFFRESkpKQwdOpSdO3eSnJyMs7MzI0eOJCkpiZiYGA4dOkRdXR1BQUHs2LGDKVOmEBkZiZWVFefOnWPu3LlkZKTzxfYtGD+2DNzngH0IWAdo68DAFvSMwPUN1m+O5VRF8G3ro//jllxI39msPnr06EFeXh5xcXF07tyZn3/+mdGjR3PhwgUSExPx8vLS/W49++yzbNt2w4ToHurDyPFRPBcewcCu8ayXB1EfGzY0vcmmn59fi/V86tQpVCrVLduZmxrwPyPcUbQN0e7HdqOu78fG+qAyG4X3UvwmHNb+ft5YH3U12raubzE+fA3TJw0Bmo8ZAPHxzftvb2+va+ftrT37Zv369aSmprJjxw4WLlyIuq6O1blnSOodxIeeXVn070wANvfwJy4giOmdPXjGQXsUMiorg809/In9W1/mZ5++p8/sRl0trJg3bx4AERERHD58mJiYGKKiogCYOnUqISEhQMv1IXn+cHmY89ze1phJby56IHn+j9e7EvPZMsnzW+T5iKFB9O7u8JvzXNF5Ot/tjSM+Pu53z/NfMtLZvHkTht3++Zvz/Gl/W7J/3C55fot21pZGvDzMHewH/eY8n/Tu57z2svZJ3g80z9VqVq5cSXJyMnPnztWNb9u2bSMpKYkZM2YwZIh2HhEZGcn27dvZt2+fboH5bsmCj/jLcnFxwX1OAp7zk1GXXUaV0zhhuLhzPk7jonGL2k/hF3OoV9dStG81VzNTKPxXNJrK0ha3aeLig3OYdtLq+HwEngsO0zE8hsJt2klr28GNk1bxx3J0dMTYWHsZkoGBAUpl08tk0tLSCAgI0B19qa6ubnbT2W+++YYnn3xStw0AlUpF165dm7RTKBQ4ODS/Tvvbb78lODgYPT2927Y7ffo0ffr0ISIigvr6evLy8nSDeffu3UlJSQHA1dW12ftJT0/no48+IigoSLe6r1AoOPbdAh659jnUXLneyesPUayvBWOnxh9euAPOLgbV9Sd7GTlqj1bU19GpvSUvjejC2bNn8fX1RalU4uDgQHZ2tu7bDx48SN++fVEoFLp2N/f7dkqP7+FCzDvU19WRPTuEmqKmTxirzDqCZfenALDwCaLy12PNtmHm4U/5yTjghs9PoaC+vp6aK/noW9he3wWNn6Gfn1+T+rCxscHIqPER6w31sXbtWjp37oxarUahUGBgYIC+vnZfNtTHuMGdsag+BGcWwNUM7f6tKQLj65MWY2eovQJ6hqB3/XNQKKHy39oJGQq8FOvZ+tl7mJubA3DmzBldTTTUx6xZs6ivr6egoEBXH2q1mjlz5jBp0iTatdP+Ue7o6Kjdt6WlqFQqoqKiOHPmDMeOHaNbt24UFRUxJzIcX8NNGNYXQ/nPYP2Etl+aSjDpoJ0k1mu0R7BuUR+WZoZsXTiQ3bu1RwZ/+eUXsrKymtVHcHAwCoWCgoICbGxsAG19NBy10tPTw8DAgCtXrtxzfShNLVAa3/4+OfdTH126dGmyjZvro8GyZcuYMmXKbdt5ulrjpJcCZxfA1euLJDfWh5ETqHLAwAr0DK73TwnoQdUZUCiwK12FOmeN7uyAm8cMaDpGNfS/uLiYvn37MmnSJKqrqwHo2LEj165do7S0FDs7O67U1uBsbIJSoYevpTVHSpp+Dl9dzGe4o7avpbU1tDcxxVRfn0qNGpXmzo+qDf0xlRNlJaSVlzLmh+ZjQkvj2o1aqg/J84fLw57nJ+MX4axa95vy3K2DFWMHe0ie3yHPX3zODXPVb8tzb8V6YlZE/GF5/o/oN/E13IR+3f3nuZWFERs+GiB5foc893G31eb5mfvPc/uyT6nIXPX75PmVK7Rv3x6lUkm3bt1040iDL7/8khEjRgBQUlJC+/btMTU1pbKyssli153Igo/4y3J0dETPUBsICn0D0GucMKhy0zDzDEBpYo7SxIL62mqaDCbA2UVjqTp7AlVOGmcWjGq2fSMHbXgrlAYo9H6/e3CIe3Pq1CmKiop0gdpAo9HoJoRWVlaUlJQwceJEAgICmDVrFtbW1mRnZ9OxY0fd90yZMgVfX1/dpPFONmzYQGho6B3bZWdnc/DgQUpKSvjmm2/o1KkTx44dQ61Wk5CQQGlp4x8oGo1GNyEASElJYebMmWzbto133nkHgMWLF5OSksKmz+bTxWw/Bg3XkOdv0p7ybX79mm+7AeAWCc6hULBV+zVzbxSF27AvmsO4UQMxMTHBw8ODAwcOUFVVxZEjR5r0Z9euXQwfPhxA1w4gMTGxSbtbse45hNrSS+R+MhGrns9iaN/05tCaylKUppYAKE2tWvxjzcixE9UXMjGwdcJpTCTm3n2w7T8edVkRSrPGe+zUFOXh7+/PihUr8PHxAW5fH1lZWdjb22NtbU11dXWT+lAqlbr6eP75ERQV/Btvb3fIWw1mHtqJVOWvUF8HVb9qJ1UNVOdBUwGVmZjaumJiBGk/HSQgIIDVq1cDEBcXp6uJZcuWcfDgQc6fP4+npydfffUV+fn5qNVqpk6dyuOPP46Liwtr1qxBo9FQVFTEtm3bGDhwIMXFxXzwwQe0a9eO6dOnk5iYiJWVFSkpKSxeMBs/+0QMNIVg4qKtj+rzYOigPSKlUUHH15vVBwXbML8wm8kTBuPY1oohQ4YwefJk3njjDfT09G5ZH4cPH9YdHU9MTKS2tlbXztXVlaysrHuuj7vxW+rjdjIzM3X1cTvDhg0j71wmmzZvR79oh7Ym7qY+jJ1AXU476xryfj1Cnz6Buvq4ecwAyMtr3v/k5GQOHjyoqw+AoKAgPD09GThwIOHh4bQxNCSnqpJKtZqkK5cpueFzqa2rI728jMestRP7NoZGpJeXUXStmoyKMkpvaHsri7s+xru/nOTdjJN83PWxW7abOXMm4eHhLb52c31Inj+cHtY8T01NYfPa+Xia7EOpvF7Ld5vnF7fR9j9zGPP8U5Lnd5Hno0aO4HJBNp4ebvec5xZttHl+8scDf3ieL/lHlDbP1QX3nOcW+VFMfvEZ7O0sJc/vIs/P52Sxbv0WlJfvPc+dbGrJ+/UIgYG9f588b9OGc+fOUVlZSWJiIiUlJbqu1NbWkpaWpru9jL29Penp6RQVFZGenn5Xv+MNZMFH/OVV5ZyitqwIkw43BEJd42RBaWqF+moJ9oMmYu4ZQLsXZqE0s+aRV5ZyIWY652Om88gr/7zl9vM3zqTtkJYnreKPVVxczNSpU1m3bl2z1xqO0gGUl5djY2ODlZUVs2fPRqlUYmHR/OZ9K1euJDMz865OfUxISMDf3x9DwzvfHNHW1haFQsGwYcNIT0/H3t6e0NBQgoODyc7ObnIUcfr06YSFhdG5c2dA+0RALy8vHBwcdO+p4ZTQvn37YG1SzQ/bnmNQgLM26N2j4XKsdmP62qNPGGm3r1QqaM/37Nr5BRcLzpGWlkZOTg4zZ85kzZo1jBo1Ck9PT11/6uvrSU5Opm/fvoD2VF6VSsWAAQMwMjJqdvRzwIAB9O/fX3dNcQP7kEmUHP4XbQa+0mzfKE2t0FSVA6BRlTcJ9Jvpm2tfcxo7W/fvGxnadyA1NZWoqCgWLVp0x/r4+OOPef3116mqqsLY2LhJfTQcFQSwtrbGyEifjON76Nt/ECbl34FtX6j6N+QsBX1r0NdOctFUQcEW9O370LOXH2uiBmFna41SqeTJJ5/k9OnTum021ERubi4KhYLQ0FBefPFF5s6di5mZGcHBwRQUFODg4MDw4cNJT09n2rRp1NbWkpOTw9GjRzE0NKRr165ER0eTkZFBbGwsXl7aPxACAwO5cjmPV8OeZXpYVyw9XoJOEVC0B/I3gukj2hq5Xh9UZKDMWUjv3n6UXTnPr1m/kJOTQ3R0NGVlZWRnZ9O1a9cW62Pp0qUEBwdjZ2enq4+GI7INwsPD77k+7sW91sedNNTHnVhbW6Onp8e45x5jcPATjBtkj7FjUMv1ob4KBVvAeQJ+vvZ89GYfXhz7DKYmhk3q4+YxA6BDh+b9bxgLGuqjvLycTZs2kZ2dzdGjR4mIiECp0OM9d2+GHj3Ed5cKcbt+VBrgwJXL9LNrvGnsXC9fZmSc4LVTP+JjYU0bw8ajn3FFFwlOSWR6+s9N3r+DkTGupmZ0NDXDydiElixduhRvb+8W76lwO5LnD4+HPc/79euLndk1jm4eyoC/Od0xz/WVCjoo4vh69w4K8yXP7yXPTYwNOP1TLIH9B2Jcduc8N7Dvg5+fP6ujQv7UPC8pyuOVsKGE/90bc7cJd8xz/dyF9OnjT+l/8sjKlDy/lzx/edQTDA5+gtHBdhg69L9jngc+5sDCt/sRNuZpjI0Nfr88VyqJjIzkmWeeITY2Fnd3d13fk5KS6N+/v+7/8+fP56233mLy5Mn4+vrSpk3jI+K///77Jm1vJgs+4i9NXVHM+dVT6TjtpkC4YbKgqSpH39wGpZkVTmNno1AqUZpaYGDtgJFDJ4wcXDG0c6Ill75eiskj3ph739ukVTx4arWa0NBQFi1apDsl9ka+vr6kpqZSWVlJeXk5lpaWzdq4ubmRk5MDwLVr1wDtzetaanuz9PR0vv76a0JCQsjIyNDdBO5mlZWVaDQaQHvEpGHi9+qrr+qu0x08eDAA69atQ6FQEBYWpvt+d3d3CgsLqaysRK3WXl5RXq6dUGVlZWFtbY2vuy1f/TOI7D2jiA73x9bWCu/O1nR0UOLjZsOIfna4tDMhd+9o/Lu1xcfrEfT0tDeGraiowMHBgd27d7Njxw6MjIx0p6IfP36cxx9/XHc6ulKpZPny5cTHx6NUKhk0aFCT9xofH09SUlKTz6O+ro7C7dE4jfmAizvnN9s/Zp7+lJ+KB6AiLREzt57N2ly7eBbj9p7Nvq5vZa87glivrtWdKmtpaYmRkdEd6+PkyZOEhoaSlpbGrl27dEc7GzTUR3l5OdeuXUOlUlFWUoCv1yOc2jWGqHmrePbFxViYKeno1h0bSwMcavfw9swPiXq1E+bqDNatWc6lS5d4//33OXHiBK6urqjVal1NJCYm4urqSm1tLcnJyXTu3BlLS0t69uzJ/v37cXNzY/DgwRw+fJji4mL09PTo0KEDhoaGWFlZYWRkRGFhIQMGDKBLly4MGzaMnj176urj6tWrjH5hJHOndSc/biyfzR9NW6dH6TbgDcws7HDvaEfQY+Y4tzXm0M4ZjHhuEBvWLm1SH5cuXcLPz4/u3btTU1PTrD7i4+NJSUkhMjKySX04OTWOo+fOnWPfvn33XB93437qw8Sk5YWJG+Xm5jJhwgRmzJjB1q1bm9VHg4bfR5VKRV7uWWLmDaYgaQKrVscQFr4CawsDOrp1x72DOfaVm3nltff5cWcYqZuG8kpoiG5S2FAfLY0ZtbXN+19TU6Mbtxra6enpYWpqqqsP3Q1kHZ2J7x3EUEdnAm0bF3i+KsznuXaN91NwN7fgW/9+rPR9gkdMTDG4ITuD7R2JCwhi8U1n8ZwqL6VCreZyzTWyrpY32z/79+8nJSXllmMkaOvDw6PpE1Ikzx8ekueNed7Duw2xK57k9FfPM/s1P2xsrPDqpM1zX3dbng9qg4uTCee/H8PffO3xcmsveX6feV5RUkg370f46YsX+GDuSgaPX9SY51aGONTu4d33ooma2BmTmnQ++3TZn57nY0aPZOGbj5MfN5ZP576AfbtH6fakNs89XO0Y0MMC57bGpO6OYPjQQcSsWSJ5zv3l+fm8s2xc+Cz5CRP4ZNXnhE5djrWFPh3duuPhYk7bqs28Om0WJ7+awKENQ5gwduAfkudDhw7lwIEDDBs2jD59+uj6/uWXX+rO0ALteLN//35Wr15Nhw4ddJeRATz11FMkJSXdcn/p3/IVIf5karWac0tCaf/SIgxsmgaCiYsvVzNTMenoqz3qYNp8AlCVcwqNqoL62mtUX8jCuH3TyWf5z/upzEzB9Z3tv+v7EHfniy++4Pjx47qnS8ybNw9/f3+mTZvG8uXLmTFjBmFhYbprolsyePBgEhIS6NKlC6+//jqZmZnU1NToTrVev349Pj4+9OjRgxdeeIHk5GSys7OZMWMG4eHhussTAgMDmTNnDkCzdi4uLrz88suYm5vj6uqq68uoUaMoLi7G19eXxYsXA9pT0Hv16kX//v3p168fUVFRREVFMXbsWFQqFR988AEA48aNo6SkBIVCwapVqwCa9P+zFXMYMWIEkyZNIj09nYKCOjasW4azgxnvvvsu48ePR6lU4uXlhY+PD7GxsSxatAilUsmCBQt0R89vvBYYID8/n3HjxqGnp0dYWBjOzs53/Jwu71mGtd9w7EMmcWb+SFR5GU1et+75LDkpO8mMCMSqxzMY2DZ/hGVlZgodJn3S7OsKhQIDWyfUFcXUVV/l3JLxBC3Vw8jIiOeee46YmBiGDx+Om5sbYWFhbNmyhePHjxMcHMynn37KxIkTqaysZNasWZSVldGvXz9++OEHIiIiSE9Pp7KyEhcXFyoqKli5ciUqlYp27doRGRlJTcU5tiwdh4WFBf9aF83nn3/O9+UnuXL1Kt9tm0ObNm10NdmpUycOHjzIDz/8gLGxMYcPH2b37t24uLjQqVMn4uLiWLp0KTk5OXh5eWFsbIyBgQEDBgwgKysLDw8PbG1t2bt3L7169SI/P5/27dvj5OSkq4/MzEwcHBzYsGEDly5dIjAwEIVCgbGxMYGBgUyZMoXMzEwuXLiAvZUxTtVb8Q7qSG7uElT/qWPz+uUEPu6IyU314e3tzRNPPIGpqSmK69fRN2ioj2nTpmFpaUlAQAC5ubl4enoSFhamm0zU1dVx7do17Ozs7rk+aorOk7PsJarz0vl1VjAuU9di5NDxN9fH+vXrAXTjxY2fe3BwMHv27GHfvn0Aupud3lwfDe2WLFnC3r17qaurIyIiAgMDA86e+pHtq95GoVCw9bP3CQkJYevWrYSHnyP72Oe8dexzXX3069ePvn37YmpqypYtW8jOzm42ZuTn5zN+/Hj09Br7X1JSwtNPP425uTk2NjZs2rQJc3NzBg4ciL+/PxqNhsjISFizkTfSfuKXinI6mJqy3Ed7und9fT1HSq7wT5/Gp4vG5J1ly4VcTJTKJl+/FU19He9mnCTmsV7U1NUxNe1HvurVp0mbhvoICgrCw8NDd5p7g5bqQ/L84SJ5fus8X/tJ0zzPz69jw9plOLYxlTx/QHleV5XLtmU35XnZCa5cvcqeLdF/6Txva22M07XGPK8s0ua5X7e2zepD8vz+8jz37Cm+WN2Q57Oa5PmvR9YRfmTdH5fn199nRkYGLi4urFy5EtDmeWpqKitWrNDts3Xr1rFp0yZMTEz45JPm+/R2FPU3VodotWqHjv5Tfq7B1/c/+dq6dSthk8Mx7qC9+ZXz+HkUH9xCh4nLqfnPBXKWhlFXo8JpbBSWjw1s8r31Gg3ZUSG4vrmRenUNuasm8+isWLJm9sFzfjIA6f/rgdLUEj1jM4ydPXCZop20dt01gffff59HH330vvsu/hz19fWEhYWxcePGP7srrc4TX9/6tQsxb3M16whus2JRmlk1e/3qL8mcX/sGDsPfwcIniIs75vHIK0ta3FZl9nGunj6Mw9A3APhh6APpPiD1cTuenp4MHz5c9ySmm61YsYJPP/2U2NhYTpw4QXV1NaNHN+ZKa6iP/xZ/Rp53TfiOEdNeu+/6kDwX90rG699PaxivpT5uTfJc3EwWfB4S/40LPnD7Qed+pE/xxMZvuO7JHje7HLsCy8PaQdDFxeXB/nAh/os96N/FuyUTgP8OUh9/HMlzLclzIe6PjNfidqQ+Wh9Z8BFCCCGEEEIIIYRoZeSmzUIIIYQQQgghhBCtjCz4CCGEEEIIIYQQQrQysuAjhBBCCCGEEEII0crIgo8QQgghhBBCCCFEKyMLPkIIIYQQQgghhBCtjCz4CCGEEEIIIYQQQrQysuAjhBBCCCGEEEII0crIgo8QQgghhBBCCCFEKyMLPkIIIYQQQgghhBCtjCz4CCGEEEIIIYQQQrQysuAjhBBCCCGEEEII0crIgo8QQgghhBBCCCFEKyMLPkIIIYQQQgghhBCtjCz4CCGEEEIIIYQQQrQysuAjhBBCCCGEEEII0crIgo8QQgghhBBCCCFEKyMLPkIIIYQQQgghhBCtjCz4CCGEEEIIIYQQQrQysuAjhBBCCCGEEEII0cr8P3ZwqO9eMPiCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1502.59x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import ZZFeatureMap\n",
    "ZZFeatureMap(3).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FiIyGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1502.59x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import ExcitationPreserving\n",
    "ExcitationPreserving(3).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 719.992x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import IQP\n",
    "IQP([[6, 5, 3], [5, 4, 5], [3, 5, 1]]).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 780.192x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import GMS\n",
    "GMS(5, [[0.2] * 5] * 5).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1683.19x686.28 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GMS(5, [[0.2] * 5] * 5).decompose().decompose().draw(output='mpl')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.5 64-bit ('latest': virtualenv)",
   "language": "python",
   "name": "python37564bitlatestvirtualenv76cfe9d7d3f749489cf2ff69593234af"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}