diff --git a/docs/tutorials/heatmaps.ipynb b/docs/tutorials/heatmaps.ipynb
index 9140bfd552c..b91097d41bc 100644
--- a/docs/tutorials/heatmaps.ipynb
+++ b/docs/tutorials/heatmaps.ipynb
@@ -1,22 +1,14 @@
{
"cells": [
- {
- "cell_type": "markdown",
- "metadata": {
- "id": "7bd5137ff0b2"
- },
- "source": [
- "##### Copyright 2021 The Cirq Developers"
- ]
- },
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {
"id": "60d1a836f542"
},
"outputs": [],
"source": [
+ "# Copyright 2021 The Cirq Developers\n",
"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
@@ -47,7 +39,7 @@
"source": [
"
\n",
" \n",
- " \"> View on QuantumAI \n",
+ " View on QuantumAI \n",
" \n",
" \n",
" Run in Google Colab \n",
@@ -67,12 +59,12 @@
"id": "7d4b5cf32fd2"
},
"source": [
- "Qubit heatmaps are primarily used for [visualizing calibration metrics](./google/visualizing_calibration_metrics.ipynb) but can be used for any custom data. This tutorial shows how to create a `cirq.Heatmap` for single-qubit data and a `cirq.TwoQubitInteractionHeatmap` for two-qubit data."
+ "Qubit heatmaps are primarily used for [visualizing calibration metrics](./google/visualizing_calibration_metrics.ipynb) but can be used for any custom data. This tutorial shows how you can create a `cirq.Heatmap` for single-qubit data and a `cirq.TwoQubitInteractionHeatmap` for two-qubit data."
]
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {
"id": "4e8bfd27ed02"
},
@@ -96,9 +88,9 @@
},
"source": [
"# Basic usage\n",
- "Heatmaps maintain an internal state of configuration parameters based on the `kwargs` passed to the constructor, for example: `plot_colorbar=False` to hide the colorbar. For full details on the valid set of parameters, please see the `cirq.Heatmap` reference page.\n",
+ "Heatmaps maintain an internal state of configuration parameters based on the `kwargs` passed to the constructor, for example: `plot_colorbar=False` to hide the colorbar. For full details on the valid set of parameters, please see the [`cirq.Heatmap`](https://quantumai.google/reference/python/cirq/vis/Heatmap) reference page.\n",
"\n",
- "The internal state can alse be updated after construction by passing a valid set of `kwargs` to `heatmap.update_config(**kwargs)`."
+ "The internal state can also be updated after construction by passing a valid set of `kwargs` to `heatmap.update_config(**kwargs)`."
]
},
{
@@ -123,22 +115,11 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {
"id": "ad8ad19411ef"
},
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"single_qubit_heatmap = cirq.Heatmap({\n",
" (cirq.GridQubit(0, 0),): 0.1,\n",
@@ -166,27 +147,16 @@
"id": "46980614cd3c"
},
"source": [
- "Two-qubit heatmaps can be made in an analogous manner using tuples of qubit pairs and corresponding (float) data values."
+ "You can create Two-qubit heatmaps in an analogous manner using tuples of qubit pairs and corresponding (float) data values."
]
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {
"id": "8e612f5d297f"
},
- "outputs": [
- {
- "data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAf8AAAHwCAYAAACop2ZrAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAABLA0lEQVR4nO3deXxcVfnH8c+TdEm6J7QsSYHWpIAQBbSALIogyKIIKDsiVFZ/giyy7/suslMrlEVQZBewyKZssrXIFkAwYW0CtCUpXZi0TfL8/phJSUOWSTszZ+6d7/v1uq/Mnbn33GfmJnnmnHvOuebuiIiISOEoCh2AiIiI5JaSv4iISIFR8hcRESkwSv4iIiIFRslfRESkwCj5i4iIFBglfyloZvaEmbmZHRA6lpDM7IDU5/BEL9vosxKJCSV/yRgzez+VHLouG4SOLRvM7Ps9vN+O5f0cxXGAmb1oZgvN7Aszm25mk7JwqLuAK4A3U8c9M/U+b+ojvo4vDUd1em5cp89pVCaCSzceEYEBoQOQWHoQqO+0PjtUIFk2k2QyBKgCfgzMB6amnmvKdgBmdhFwPNAG3Jd6ehdgqpmt4+4nZOpY7n51psoSkcDcXYuWjCzA+4ADu3Tz2lrAQmABMB4YBLyR2n7P1DZ/JplQF5FMov8EvtFN+Wel9l0AXA6sC7yU2ucvwODU9gektn8auBKYB7wL7NupzCdS2xyQWh8AHAe8lYr3TeDgNN77Lqly3u/0XMf7m5hafy21/vXU+rup9fVS698DngLmAo3AbUBFL8esIpn0HTio0/OHpZ5rA76Wes5Ty7jU+pmp9Zu6fFZPAZcCn/f2WXXav/PyRA9xdux3VKfnxnXab1TquZWAP6TO83zg38B3O+1zLPC/1HlZBLwK7Nbl/Xwlnk7rxwPvpT7f44HvAm+n1q/sdJxtgZdTn8ES4APgrE6vd3xWPf5eadGS74ua/SUbDjSzyzsWAHd/h2RSHQpMAU4nmbT/7O5/Te23JvAkcD3wH2Ar4I5uyj8GmEHyC8SRwDPAf0kmhL2A/bpsvzmwEfAIyS8efzKzb/YQ+znAxYABdwLDgClmtn8/3n+HJ1I/NzOzEcB6HfGY2aqpWOYAb6bieQzYAvgHyYSzD/CwmQ3sofxtSF66WwLc1On5G1LPFaW26Y/NU8uj9P5ZPQ+8kHr8FskWkLv6KHvXTr8Tp3d+wcyKgL8BhwAfAvcD3wQeMbO1U5uNB14n+V7/RvLzvNXMxqUZz2+B54CRwIWp158HBgNHmFnHZ1VJ8rzcDvwJGA6cbmZ7dSmvP79XInlFyV+y4cckk3LHAoC7X0sysW0DnEyylv/rTvvtQfKf8XyStWSAdcysokv5F7n7/sCzqfXH3H1f4ObU+oZdtp8NfM/ddyPZNG589QsCZmbA4anVZ0nWCF9Jrf+ql/fbkydTPzcDNiX59/YOyQS/eeq1p9zdSdbWBwI3u/teJFsBZgE1wFZmtnHnL1RmVg2MTpUxx91bOw7q7kuAz1KrK/Uz5jmk8Vm5+z9InkuAF939KO/7ssD3+PJ3omufhG+T/Ezmk/ziN5tkLb+k07bHp2JqAhpS2wwGNksznt+6+z4kv1gZyc96f2Ba6vWO35tbgN8DH5Gs/Xdcwtq6S3lp/V6J5CNd85ds2NXd7+vhtYuB7Un+o5zq7nMBzGwCyX/6w7rZZwzJZvAOb6V+zk39fDv1c37q59Au+9enEiIkWwgAxnZznNGdjt81OVV3s31fnkj93Ixk0n8PuAfYjS+Tc8c241I/34JkAjezd4GVSbaIVNDpixTJZDMn9XglMyt29zaAVEtBR9L/pIfYint4Pt3Pankc7e6XQ7LDH8nPo8O41M/hLPs+AarNbBDJL4Y13ZQ7Js3jd/69WZOef2+uI9kC0ddxsvlZiWSVav6SM6mk9LvU6iLgGDP7Wmr9RyQT7+vAKGCVzrt2Kaqtj/Wuqjo1na+T+jmzm+3mkLyeDPBNdzd3N5J/JxP7OMZXuPsskklhdZKtGv9OLdXAzqnNOloH3u8cXyrejs/mA3e/qSOe1PIEycsE7SQvf/y806EPINmK0MqXteEvUj9HpH52l0Qh/c8KvvzcM/F/5P3Uz0agpNNnP4Rka8y6JGNuAyakjvlmap+O34++4kn392bP1M8DSH5Juq7LcTr057MSySuq+Us2HGhm3++0foO7v06yo96GwK0km9WvBW42sy2BT1PbTiB5vXaDDMYzGnjSzBr5smPebV03cnc3s2tINi8/amYPkPxC8h2SSfqA5Tj2EyQTw9okOyc+mzp+Fcnm69dT200BDgb2N7NSkjXTlUl2Gnyiu4Ldvd7MLk3Fe72Z/Yhk4tsltckZ7v5x6vHLJJvVrzazt/nyy0dXaX1WKR+lfu5gZleR7GB3dw/b9uUlktfjNwWmm9mzwKrAlsDRfPlFpxi4jOSXgglZiudTkv0CfgP8ENi1h+3681mJ5BXV/CUbul7zrzKzzUgmqU9Tz00GHid5/fs4kh37OjqqbQNckMF4/k0y6W5L8nrv/u7+Sg/bngqcQDIx/5zkdd63gb/2sH1fnuz0+N/u3sSXTcQd1/tJxfNDkglwR5IdyG4Htnf3xT0V7smhfJNIJvcfAT8jmSAPc/fzO216BMkvGhuQbJq+sYci+/NZ3Qk8TLK5/HCSHTSXi7u3k/xCMplk68QBJL8oTgOed/eZqffwKckvBC/xZZ+PTMdzEMlztC7JyxB/6GG7/nxWInnFUv97RGInNRPdjcCT7v79sNHkhpntSjIJvgRs6+7zAocUO4X4eyXxo5q/SIy4+70km6kf4ssRBSIiy1DyF4kZd3/A3c9094dCxyIiK87Mtjezt82szsxO7Ob1MjO718xeS0313VOH3i/3UbO/iIhIfjKzYpJDhbclOZpkOrC3u7/ZaZtLgAXufpaZrQNc4+4/6K1c1fxFRETy18ZAnbu/m+r8eztfHa2zLskO1Lj7f4FxZrYKvVDyFxERyV+VfDmMFZK1/8ou27wK/BTAzDYmOVS41wmn8mqc/+jRo33cuHGhwxARkQL00ksvzXH3HmeM3G6rof5ZU19zivXzmK8tegNo6fTUFHef0mm96+RSkJxTorMLgSvM7BWSQ3pfJjnJV4/yKvmPGzeOGTNmhA5DREQKkJl90NvrnzW18eLDa2T0mMWr/a/F3XubQXQmyVlCO4xl2enOSQ3pnQRL71HyHstOn/0VeZX8RURE8pUD7bTn+rDTgQlmNp7kDa32InnHz6XMbBTwRapPwEEkJxDrdY4PJX8REZE85e6tZnY4ydkri0neEO0NMzss9fpk4OvALWbWRvKeFwf2Va6Sv4iISFqcNs95zR93n8aXt57ueG5yp8fP8dV7XfRKvf1FREQKjGr+IiIiaUhe84/HxHhK/iIiImkK0OEvK9TsLyIiUmAiWfOvra1d+riqqorS0lIAGhoaaG5u7nafkpISqquruy2jq4qKCsrLywFoamqisbGxx21rar68f0JdXR0tLS3dbldWVkZlZXJSpkQiQX19fY9lRuk9dY4tSnHH/VxEMf64nZNhw4ahScvixXHaYnI/nMjV/Hv7A5bc6umfruSezkX+GThwYOgQRHqUV3f1mzhxovc1w19H8u/87VvC0LnIHzoXIivOzF7qbba9Ddcf5P96qNf75fRbWeXMXo+ZLZFs9hcREck1B9pi0ts/cs3+IiL5LpFIkEgkQoch0iPV/EVEMqyjw6Iuw8RPXMb5q+YvIiJSYFTzFxERSYNDbIb6RS75V1RUhA5BOtH5yB86FyLZF4/5/SKY/Dsm4pD8oPORP3QuRCRdkUv+IiIiITiuoX6hNDU10dTUFDoMAcaMGaNzkSd0LkSkPyJX8++Yc1tNnOHNnj0b0LnIBzoX+aWqqip0CJINDm3xqPhHL/mLiOS7jhsPieQrJX8REZE0OOrtLyIiPWhoaABYeptiiQujDQsdREZErsOfiEi+a25u1m2WJa+p5i8iIpIGB9pj0uFPNX8REZECE7mav+6SlV90PvKHzoVI9sXlmn/kkr+IiEgITnySv5r9ZbmVlJSEDkFSdC5EpD8il/zr6uqoq6sLHYak6FzkD52L/FFSUqIvZDHV7pbRJZTINfu3tLSEDkFSdC7yh85Ffqmurg4dgkivIpf8RUREQojTNX8l/wJy39UPcdu5d2esvNbWVgAGDMjMr1HpsBLOuu94xteskZHy8tkH9bM48ze3kli4KCPlfXkuHshIeQB7Hfx9dtl304yVJxJ1jtEWvavl3VLyLxAP3fA41x55I+75O0PF3Fmfc8K2Z3PZk2czdq2K0OFkTcMHczjx4Kk0z1mQhdIz82UC4A8XT2Pw4AHssNtGGSuzUNTW1gIafin5Kx5fYaRX//zz01x+6B/yOvF3aP70c47f5mw+eX9W6FCy4tPGZk48+MYsJf7McneuOvd+/vn3V0KHIpI34tLhT8k/5p659wUuPuAa2iM0J+XsmZ9x3A/OYk7DZ6FDyajPZs3jxINvZPYnn4cOJW3t7c6lp97DM4++EToUEcmgyCX/srIyysrKQocRCS8+9DLn7305ba1toUPpt0/em8Xx25xN86zoJMrezG1ayEmH3MjHHzWFDqXf2tvaufCEO3jx6bdDhyISVEeHv0wuoUQu+VdWVuo2mWl45V+1nL3bpSxZ3Bo6lOX20duNnLDt2cxrmh86lBUyf16Ckw+9kQ/fnR06lOXW2trGucf8hVdeqA8dikhARpsXZXQJJXLJX/r25nNvc/rOF7EosTh0KCvsvdc/5MTtzmXh5wtDh7JcFi5o4ZTDbuLdtz8JHcoKW7yolTN/cxtvvPxB6FBEZAVFLvknEgkSiUToMPLW//7zLifveD6JBfGZ9OV/L73LyT+6gMTCaL2nlsRiTv/1n3intiF0KBnTkljMab++hXfeiM97EkmXA+0UZXQJJXLJv76+nvp6NT12573ajlryF6FDybg3n022ZixuiUZrxuLFrZx1ZDxryV8sWMQph93Ee+9EvzUjWyoqKqioiO9wVYm+yCV/6d7Mdxo58YfnMO+zaF8f780r/6zlrN0uZcniJaFD6VXrkjbOO+YvvPx8fL+kzv88wUmH3MhH70W3H0M2lZeXU15eHjoMyQJ1+JO88cn7yZ7xTZ/MDR1K1r047WXO3+cK2trycwRDW1s7F510Jy88Ff+e8XObFnLSwTfy8czojWAQKXRK/hE3pyE5Jn72zHiNie/NM/e8wCUHXEN7e3voUJbh7lx22j08/Uht6FByZs6seZx40NRIzV2QC01NTTQ16UtR3Lirt7/kgeZZqdnw3ovnbHi9efy2p7n80Cl5NWvhVefez+MPvhI6jJz7tHFuctbCz/J/1sJcaWxspLGxMXQYkgXtWEaXUJT8I2pe03xO2PZsPnq7cP/BPHTD41x71I2hwwCS8+BPu3N66DCCafhgDicdfCPz5savs6lIHCn5R9DCeV9w0vbn8d7rH4YOJbj7rnqIG066LWgMN131KPfe+mzQGPLB+3WfcvKhN7FwfrSGZIqkKznDX1FGl1Ail/yrqqqoqqoKHUYwiYUtnPKj83lnRnx7kvfX7Rfdx63n3BXm2H98gtv/+GSQY+ejurcaOfX/bibxRebuLigimRe55F9aWkppaWnoMIJY3LKYM3a5mDf+Hf+e5P118xl/5a7LMncv+3Tcd+uz3HTVYzk9ZhS89epHnHnErSxelN9DMkX6Tx3+JMdal7Ry1m6X8vLjr4cOJW/94dhbeOC6h3NyrGl3TWfyxdNycqwoenX6e5xz9F9YsiS695YQ6SrUDH9mtr2ZvW1mdWZ2YjevjzSzB8zsVTN7w8wm9VVm5JJ/Q0MDDQ2FNbVoW1sb5+9zOS9Oezl0KHnvqsNv4JGbn8jqMR574GWuPvf+rB4jDqY/8w4XHH9HJO8qKZIvzKwYuAbYAVgX2NvM1u2y2a+BN919feD7wO/MbFBv5UYu+Tc3N9Pc3Bw6jJxpb2/nkgOu4em7XwgdSiS4O7876DqevCM7HfCefqSWy06/l/b2/BlimM+effxNLjnl7rybkyHbampqqKmpCR2GZEGbW0aXNGwM1Ln7u+6+GLgd2LnLNg4MNzMDhgFNQK/NbpFL/oXmisOm8PhtT4cOI1La29q5cL8refb+zA69e+Gpt7noxDtpbyusRLainnjoNS4/6768mpNBJI+MNrMZnZZDurxeCXzUaX1m6rnOrga+DjQCrwNHunuv/6iU/PPYtUfdyLTrHw8dRiS1Lmnj3D1/z4xHXs1IeS8/X8+5x/yFVjVhL5dH7v0P113499BhiKwQx7Ix1G+Ou0/stEzpctjumge6fpPeDngFqAA2AK42sxG9vRcl/zx1w8l/5t4r1aFsRSxZtISzfnoJrz315gqVU/uf9znryNtYslid11bE/X95nht+n5sOmaHV1dVRV1cXOgzJgnYvyuiShpnA6p3Wx5Ks4Xc2CbjHk+qA94B1eitUyT8P3Xbu3dx+4b1BY5i43QZMfesKbnrnKvY8YZevvL762hVc8e/z+Hviz+z22536tW8utXyxiNN2upC3Xvjfcu3/du1MTj/8T7Qkwt5K+NubT+D6+49k6oNHs8cvv/eV17facX2uu+twrrvrcC675RDGr7Vq2vvm0p03Ps2t1/0zaAy50NLSQkuLJjuSjJgOTDCz8alOfHsBXXscfwj8AMDMVgHWBt7trdCsJv++hifIV939+we56fTbg8ZQVFTEEVcfyMk7nsdB6x3NVnttzhpfH7vMNvObFnDNkVO563cP9HvfXPtifoKTdziPulfe69d+777zCaccdjNfLAg7YU1RkfHrk3fi1F/dwiG7XMn3d/gGa3xtzDLbfNLQxHGTrudXu13Nn6f8iyPP2DntfXPt1uv+yV03PRM0BpHlEWKGP3dvBQ4HHgbeAu5w9zfM7DAzOyy12TnAZmb2OvA4cIK7z+mt3Kwl/zSHJ/RbSUkJJSUlK1pMXnpg8iNM/u3NocNg7Y2raaz7hE/em0Xrklae+Ou/2WznictsM3f2PN6ZUU9rl3Hc6ewbwoK5Czlpu3P54M2P+t4Y+Oi92Zx8yI0smJfIcmR9W7tmLB9/+BmfNDTT2trGk/94nU23+voy27z16kcsSE2r+99XP2L0yiPT3jeE6y/7Bw/crhEsIulw92nuvpa7V7n7eannJrv75NTjRnf/obt/w91r3P3WvsrMZs0/neEJ/VZdXU11dfUKB5dvHr3lSa769fWhwwBgdGX5MrcInjOzidGVK2V932ybO3sex297Dg11H/e63cczmzjx4KnMbVqYo8h6t9IqI5j96Ze3zJ3z6TxWWrnnvjzb/fTbzPj3O8u1by5de8GDPHLfS6HDEEmbk9lhfmkO9cuKbCb/dIYnCPDknc9x6YHX5s1QKOvm9zHd2FZk31xo+riZ47c5m1kfzu729dmfzOXEg6by2az5OY6sZ9129e3hM/3mRuPZbtdvL+1Y1599c83dufzM+3jioddChyJScAZksex0hieQGtN4CMAaa6yRxXDy17zP5ufV2PHZM5sYM/bL2vroseV81tiU9X1zZdEXi0gs6L4zVktiCS2J/JqTfs6n8xizysil66NXGUHT7K9+ORk/YRWOOnNXTvu/m5n/eaJf+4bS3u66DbBESrpT8ua7bL6LdIYn4O5TOsY3jhnTd0ek2tpaamtrMxdlHtjpsB9yyCW/CB3GUm9Pr6NywmqsOm5lBgwcwPf33Jzn7p+R9X1zYdiooVz48Gmsue7q3b6++vgxXDDlAIaNyJ+bR739RgMVa67EKpVlDBhQzJbbf4Pnn/jvMtuMWXUkp/1+Hy45+U4aPvisX/uGdOBR2/GTvb8TOoyMKysro6ysLHQYkmHuxObGPtms+S8dngA0kByesE8Wjxdpu/92J1oWtnDLmXeEDoX2tnauPuIGLvjHKRQVF/Hwjf/igzdn8uNDtwXgwT88Stkqo7hm+oUMGVGKtzs/PfJHHLTe0XwxP9HtvvmgdFgJ5007meoNx/e63dfWXo3zrtufkw65kS8Whr81bXtbO9ee/yDnXbc/RcVFPHLfS3xQP4sdd98IgGl3Tmffw7Zi+KghHH7KTwBoa2vnN3tf1+O++WDfQ7di919+N3QYWVFZqSuckt8sm9f/zGxH4HKgGJja0UuxJxMnTvQZM3qvJXbU+qM8b/Yb73zMjNc+YP/dvlrjuf7EW/nrxX8LEFW8DS4dxHnTTmb9LddLe5/al97nlF/dzKKW/LoMEAc/238LDv7t9qHDEFmGmb3k7j0OTxpXM9xPvWeDjB7z4LWf6fWY2ZLVNofuhicUuv+9N4vfnnMXf/zzM/zpnq8OdTrowp+zy+E7BIgsvgYOGsAZ9xzXr8QPUPPtcZxxxb4MHJTNBrLC8+M9N4l94k8kEiQS4YeJivQkHj0XIuK9j+Zw9Fl3siDVlPyHW5/mzr//5yvb/d8Vk9j+l1vnOrxYKh5QzKl/PYaNtttgufb/1qbVnPq7vRgwoDizgRWoH+7yLX598o9Dh5F19fX11NfXhw5DMsyJzzV/Jf8cmflxM0edeSdzu0wac8UN/+SBR5cd6mRmHD3lULbeZ4tchhg7RUXGCbccwWY7b7RC5Wyy5Tocf+HuFBXrz2VFbLn9NzjqzF2w7saDikRErmf4yxb9N8uBT2Z9zpFn3MFnzd1PGnPx5Ed45Mllbz5TVFTE8Tcdzua7bpyLEGPHzDj6j79iq702z0h53/thDcectasS13LabOuvc/z5u1FUpH85Ivkgcn+JFRUVVFRUhA4jbXOaFnDkmXfy6Zyex1a7w3lXPcQTz72zzPPFA4o55S9HsdEOG2Y7zNg5/KoD2X7SVhktc5ufbMjhp+zU94ayjG9vNoGTLtmTYl06kYhzjHbP7BJK5JJ/eXk55eXlocNIS/PnX3DUmXfQ8MncPrdta3fO/P2DPPfSsjdiGjhoIGfefSwbbB3d0Q25dsjF+/GT/9suK2X/aI+NOeQ4dchM1zcmjuP0y/dh4EB1mhTJJ5FL/lExb0ELR591J+/PTH92u9bWdk65+G/MeO2DZZ4fVDKIs/92Aututnamw4ydX5yxB7sf+5OsHuOn+23OLw7/QVaPEQfrfHN1zr56PwaXDAwdikjG6Jp/IE1NTTQ15dd0sV0t/GIRvz3nLure737++N4sXtLGiRfcy2tvNSzzfOnQEs7/+0lM+PbXMhVm7Oxx3M7sd8buOTnWPodsxZ4Hfi8nx4qiqnVW49xrf0HpkMGhQxHJGAfavSijSyiRS/6NjY00Nn5lluC80bJoCceffy9v/e+TFSijlePOu5v/1i1bxtCRQ7nwH6cyrqb7qWkL2c6/3p6DL/p5To856cgfssu+m+b0mFGwZtXKnP+H/JoiOdeqqqqoqqoKHYZIjyKX/PPZosWtnHThfbyagelsF36xmKPP/mrrwYiVhnPxo6czdq3VVvgYcbH9pK349ZW/DHLsw074ETv8LOeTc+WtyjVX4oI/TmJk2dDQoQRVWlpKaWnhfvmJL6Mtw0soSv4Z0traxumXPsD0Vz/oe+M0zU/1G/hg5mfLPF+2yigufuwMVh3X942Q4m6rvTfn6D8eFnQI3hGn/YStf7x+sOPni5UrRnHhHydRPnp46FBEpA9K/hnQ2tbOWZf/nX/PyPyMXskRA3d+ZcTAmLErcfHjZzC6MhojH7Jh81024oSbjwg+dryoqIjfnvMzttimf9MHx8lKKw/nout/yZhVR4UOJS80NDTQ0NDQ94YSKbrmL0u1tzsXXvMP/vXsO31vvJxmNy3gqDPv4NM585Z5frXxq3DxY6czauWRPewZXxttvwGn3H503owdLy4u4sSL9mCj764VOpScG1U+lAv/+EtWG1u4X0S7am5uprm5OXQYIj1S8l8B7s5lf3yMfzzxZt8br6CPZ83jqDPv/MosgauvXcnFj57G8PJhWY8hX2yw1XqccfexDByUX0PIBgws5rTL9maDTQpnRMawEaWcP2USq4/XJSgpDLrmX+DcnatveoL7Hn41Z8f8qLGZo8+6k7nzvljm+fHfWJMLHz6VoSOH5CyWUNbddC3O/tsJDC7NzyFkgwYP5Mwrfs66G64ROpSsGzJsMOdN3p+vrbVq6FBEcsLd1OwfSk1NDTU14We7u/4v/+avD7yU8+O+++Ecjjn7buYvbFnm+bW+XcV5fz+ZkqH5mRQzYcK3xnP+tJMpHZbfvahLhgzinGt+wYT1KkOHkjWDSwZy9tX7sXbN2NChiMhyiFzyzwd/uvsFbr7r+WDHf+fdTznu3Hv4IrF4mefX22xtzv7bCQyK4Yxq42pW58KHT2PoyGgMIRs6rITzJ+/PuAmrhA4l4wYOGsAZV+5LzbfGhQ5FJOd0S98CdceDL/GH254OHQa1bzdy4gX3smjRkmWe33Drb3D6XccycFB85lIfu9ZqXPTIaYxYKVpDyIaPHMKFUyYxdtzo0KFkzIABxZz6u7341neqQ4ciIisgcsm/rq6Ourq6IMe+/9HXuHLqv4Icuzv/qf2Iky/+G4uXtC7z/CY7fouT/nxULO4/v+q4MVz82BmUr1oWOpTlMmqlYame8NGMv7Oi4iJOuHB3NtlyndCh5L2SkhJKSkpChyEZ5kA7ltEllMhlh5aWFlpaWvreMMMefvJNLpn8SM6P25cXXn6fMy/7O62tbcs8/92fbsLxNx1OUVF07z8/urKcix8/gzFjVwodygoZvcoILvjjLxmzanSHZJoZx5y9K9/9Yfj+NlFQXV1NdbVaR+LH1OxfSJ547h3Ou+oh3ENH0r2nXvgf5171EG1t7cs8/4N9v8uR1x0SdPa75TVq5ZFc/NjprDY+HtfMV60s48I/TqJsdDSHZB5x2k/YZqcNQ4chIhmi5N+HZ2fUc+bvH6S9PU8zf8pjT/+XSyY/+pU4dzx4G371+wPCBLWchpcP4+JHT2P1tePVW75yzdFcMGUSI0ZFa0jmocftyI67bRQ6DJHgkjP8WUaXUJT8ezHjtQ849ZL7aW1t73vjPPDg469zxQ3/xLs0Uez6mx058Px9AkXVP0NGlHLBP05l/DfWDB1KVoyrXoXzJh/A0OHRuB68/+HbsOt+m4UOI3Jqa2upra0NHYZIj5T8e/DaWw2ceMG9LF7S1vfGeeTuh17muj899ZUvAHuduCv7nvKzQFGlp2ToYM77+8msPTHet0KdsG4F51z7C0qHDAodSq/2OmhL9j7k+6HDEMkrbRRldAklPuPBMui/dZ9w7Ll307Kote+N89Cf75tOaclAJu2xbI3tgHP2Yv+z98zYcTpqNpmadCmKfROW17rrr8G9z5/+lS9pyyvT5wIK63yIpMMJ21SfSZFL/mVl2R0yVff+bI4++66vTKATNTfc/iyDBw1kn12WvVabyX/oZkZZWZmSxArI1GencyEi/RG55F9Zmb1OYB/M/Iyjz7qT+QtyP5QwG6695UlKBg/gpztkr5d2Ns+H9I/OhUj2tcfkank83kWG3HzX8zR//kXfG0bI769/PHQIIiKSZyJX808kEgCUlmb+5i75Oo5/RWTzPY0ePZpEIpGVcyH9o3Mhkn3u0BaTa/6Rq/nX19dTX18fOgwB5syZo3ORJ3Qu8ktFRQUVFRWhwxDpUeRq/iIi+a68vDx0CJIl6u0vIiJSQJJD/SLXYN6teLwLEZE80tTURFNTU+gwRHqkmr+ISIY1NjYCav6Po7aAt+HNJNX8RURECoxq/iIiImnouKtfHEQu+VdVxfumL1Gj85E/dC5Esi0+Hf4il/w1iUl+0fnIHzoXIpKuyCV/ERGRUNrV4S+MhoYGGhoaQochJO+wqHORH3QuROLLzLY3s7fNrM7MTuzm9ePM7JXUUmtmbWbW61CTyNX8m5ubAd3BLB/oXOQPnYv8UlNTEzoEyYIQc/ubWTFwDbAtMBOYbmb3u/ubX8bllwCXpLbfCTja3XudaCJyyV9ERCSUAB3+Ngbq3P1dADO7HdgZeLOH7fcG/tJXoZFr9hcRESkglcBHndZnpp77CjMbAmwP3N1Xoar5Z8EmG47jyF9uTVGR8eBjr3PrvS8u8/oWG1Vx0N5b4O60tbVz5dR/8dp/G9LaV0TyX11dHQDV1dWBI5FMSs7tn/Fm/9FmNqPT+hR3n9JpvbsD9nSz9p2Af/fV5A9K/hlXVGQcc/A2HH3Wncz6bD7XX/xznplez/szP1u6zUuvf8gz028GoGrN0Zz9253Y9zc3prWviOS/lpaW0CFIdMxx94m9vD4TWL3T+ligsYdt9yKNJn9Qs3/Gfb16VWZ+3Ezjp5/T2trOY8/8ly02XnbylUTLkqWPSwYPXPoVLp19RUQknHYso0sapgMTzGy8mQ0imeDv77qRmY0EtgT+lk6hkav5l5SUhA6hV2NWGs6sz+YvXZ/92QLWnbDaV7b73ibVHLrvdykbOYTjzrunX/vmk3w/H4VE50Ikfty91cwOBx4GioGp7v6GmR2Wen1yatNdgUfcfWE65UYu+VdXV1NbW0sikaC+vr7P7UtKSigvL196l63eLF68aIXj6/7izFcvzzz1Qh1PvVDH+uuO5eC9t+Cos+5Me9/+qqurS6sZsqqqKq3PtKysbOnjjmuatbW1PW5fUVGx9O5mTU1NvZ6LzkOkeou7rKxs6bC2vn4Xqqqqls5+19DQsHRYXFclJSXLXKON0nsCnQvI7/ck0Rdqbn93nwZM6/Lc5C7rNwE3pVtm5JJ/538CHX/Iff3BlZeXL/3n0Ns/kUyY9dl8Vl5p+NL1MSsNY07Tgh63f/XNmVSsOoqRw0v7vW+6Ov6J9vWPsbS0dOln2tcXhsrKSsrLy6mvr9ec8nni/fffZ9y4caHDkJRhw4aFDkGyQHP7B9Z5HvPKysq0JzfpbfKNQY9+sMJx/bfuE1ZfrYzVVh7J7Kb5bLPFOpz1+78vs03lqqNo+GQuAGt9bWUGDiji8/kJFixs6XPfFdH5S1Bf0uml3Lk2lO6kJpmOAZb90tKXTP2udJZv7ymqcfcmju9JJKTIJv981dbuXHb941x2+s8oKiri74+/znsffcbOP1wfgL898irf33Qttt9yXVrb2lm0uJUzfvdgr/uKiEge8KwM9QtCyT8Lnv/Pezz/n/eWee5vj7y69PFt977IbT2M3+9uXxERkUxS8hcREUmDE5+7+in5i4iIpCkuzf7x6LYoIiIiaYtczb+ioiJ0CCIiUoBCjfPPhsgl/3SH8Uj2aXy/iEg0RS75S/7oPNeCiEghUM0/kKam5J0K1QIgIiK5lKVb+gYRueTfMT2tkn94HXPKa0YzEZFoiVzyl/zRcT8FJX8RKRRxGeevoX4iIiIFRjV/ERGRdHh8Ovyp5i8iIlJgVPMXERFJgyb5ERERKUBK/oHU1NSEDkFSSkpKQocgIiLLIXLJX/JHdXV16BBERHImTpP8qMNfJ2NWGhY6hIwbUx6/9yQiIismcsm/rq6Ourq6rJR9yD5bsPnE+NyspmzkEK44a4/QYYiIxIa7ZXQJJXLJv6WlhZaWlqyUPWBAMWcfuxMbrb9mVsrPpRHDSvj9GbuzRmX2pkGura2ltrY2a+WLiOSbdiyjSyiRS/7ZNnjQAC44cRfWX3ds6FCW29Ahg7js9N2oHjcmdCgiIpKHlPy7UTJ4IBefvCtfn7Bq6FD6rWTwAC455WesUx292EVE8pmnZvjL5BKKkn8Phg4ZzO9O240J41cOHUraBg0s5qKTf8o3v64b7YiISM+U/HsxYlgJl52+G+PG5v/tgwcMKOK843fm299YI3QoIiKxpQ5/BaJs5BAuP3MPKlcdFTqUHhUXGWce/WM2/fbXQociIhJjmW3yV7N/P5SVlVFWVpbTY44uH8YVZ+7OKqOH5/S46TCDU47Yge9vulboUEREJCIil/wrKyuprMz9Ne1VVx7JFWftwUplQ3N+7N4cf9gP+eGW6wY5dkVFBRUVFUGOLSISgpr9C9DY1cq4/MzdGTWiNHQoABx54NbstO03gx2/vLyc8vL87w8hIiLLilzyTyQSJBKJYMcfv/pofn/G7gwbOjhYDACH/vy77P6jbwWNQUSkkHTc0lfX/AOor6+nvr4+aAwTxq/M707bjdKSgUGOf8Du32G/n24S5NidNTU10dTUFDoMERHpp8gl/3yx3lqrcckpP2XwoNzeGHGvn0zkwL02z+kxe9LY2EhjY2PoMEREcsOTE/1kcglFyX8FbLDe6lx44i4MHFCck+Ptst36/Hr/LTGLxy0lRUSiRnP7CwAbbTCOc477CcXF2f0od9hqPY45eBslfhERWWFK/hmwxUZVnH7UjhQVZScx/2DztTnx/7bLWvkiItI3R0P9pIsfbL4OJ/16u4yXu8VGVZx25I5Zb1kQEZHCkdveajG3w1Y1LFrcyqV/eCwj5W28wTjO+u1ODMhRnwIREelN2OF5mRS55F9VVRU6hF7tst0GtCxq5eqbnlihcjZYdyznn7BzzkcTiIhIz0L20M+kyGWW0tL8mF2vN3v9ZCIti5Zw/V/+vVz7rzthNS4+5aeUDA4zj0C6ampqQocgIiLLIXLJPyr23+07LFrUyp/ueaFf+00YvzKXnvYzhpQOylJkIiKyvEJ20sukyPUia2hooKGhIXQYfTIzDtl3C3brxxS841ZfictO340Rw0qyGJmIiBS6yNX8m5ubAYLc2a+/zIwjf7kVixa38sCjr/W67djVRnH5GbtTNnJIjqJbcXV1dQBUV1cHjkREJPuSs/LFo+YfueQfNWbGsYdsw+LFrTz85JvdbrPK6OFcfuYejC4fluPoVkxLS0voEEREciouvf0j1+wfRcXFRZx0+PZ8/zsTvvLaSmVDufLsPVl1zIgAkYmISL4zs+3N7G0zqzOzE3vY5vtm9oqZvWFmT/ZVppJ/jgwoLuKMo3/Mpt8av/S5USNKueKsPahcdVS4wEREJG25vrGPmRUD1wA7AOsCe5vZul22GQVcC/zE3dcDdu+rXCX/HBo4sJhzj9+Zb39jDYYNHczvz9idcWNXCh2WiIjkr42BOnd/190XA7cDO3fZZh/gHnf/EMDdZ/VVaNau+ZvZVODHwCx314DwlMGDBnDhSbvQ8MnnVI8bEzocERHphwAd/iqBjzqtzwQ26bLNWsBAM3sCGA5c4e639FZoNjv83QRcDfQaQH+VlER/GFxpySAlfhGRiHGycjOe0WY2o9P6FHef0mm9uwN2vWAwAPg28AOgFHjOzJ5393d6OmjWkr+7P2Vm4zJdroaV5Y+ysrLQIYiIRN0cd5/Yy+szgdU7rY8FGrvZZo67LwQWmtlTwPpAj8lf1/xluVVWVkZivgURkUzxDC9pmA5MMLPxZjYI2Au4v8s2fwO+a2YDzGwIycsCb/VWaPBx/mZ2CHAIwBprrBE4GhERkfzh7q1mdjjwMFAMTHX3N8zssNTrk939LTP7B/Aa0A5c7+61vZUbPPmnrm1MAZg4cWKfX4Rqa5PvRzeVCS+RSADRuNmSiMgKCzTDn7tPA6Z1eW5yl/VLgEvSLVPN/rLc6uvrqa+vDx2GiIj0U9aSv5n9BXgOWNvMZprZgdk6loiISE4EuOifDdns7b93tsoWEREJIS439lGzv4iISIEJ3uFPREQkKtKZjz8KVPMXEREpMJGr+VdUVIQOQURECpATn2v+kUv+5eXloUOQlKqqqtAhiIjkjgNK/lLoNLmPiEg0RS75NzU1AWoBEBGR3ItLh7/IJf/GxuTNjJT8w2toaADQzX1ERCJGvf1luTU3N9Pc3Bw6DBGR3NEMfyIiIoXEYtPbXzV/ERGRAqOav4iISLpi0uFPNX8REZECo5q/iIhIOlwz/AVTU1MTOgRJKSkpCR2CiIgsh8glf8kf1dXVoUMQEcmtmFzzV/IXERFJWzya/SPX4a+uro66urrQYYiIiERW5Gr+LS0toUOQlNraWkD9MESkgMSk2T9yNX8RERFZMZGr+YuIiAQTk5q/kr+IiEg6HIjJOH81+4uIiBQY1fxFRETS5Gr2D6OsrCx0CCIiIpEWueRfWVkZOgRJqaioCB2CiEhuqeYvha68vDx0CCIiuaUOf2EkEgkSiUToMERERCIrcjX/+vp6QLPK5YOmpiZALQAiUjhMzf5S6BobGwElfxGRqFHyFxERSYcTmw5/kbvmLyIiIitGNX8REZG0WGx6+yv5i4iIpEvN/iIiIhJFkav5V1VVhQ5BREQKVUxq/pFL/qWlpaFDkBTNtSAiEk2RS/4iIiLBqOYfRkNDA6Ab/IiISI45sentH7kOf83NzTQ3N4cOQ4C6ujrq6upChyEiIv2UVs3fzM4GngaedfeF2Q1JoqKlpSV0CCIiORWXuf3Trfm/D+wNzDCzF83sd2a2c/bCEhERkWxJq+bv7lOBqWa2KrAHcCxwCDA8i7GJiIjkl0Kq+ZvZ9Wb2LHAdyS8MuwFl2QxMREREwMy2N7O3zazOzE7s5vXvm9nnZvZKajm9rzLT7e2/ElAMzAWagDnu3tqf4EVERKR/zKwYuAbYFpgJTDez+939zS6bPu3uP0633HSb/XdNBfF1YDvgX2ZW7O5j0z1QppSUlCyzXltb2+O2FRUVS+8139TUtPT+893pPGFNXV1dj53ZysrKlg4zTCQS1NfX91hmVVXV0kmJGhoaehylUFJSQnV19dL1qLwnEZFCE6DD38ZAnbu/C2BmtwM7A12Tf7+k29v/x8B3ge+RbO7/J8ne/znXOUlKWGVlZSxZsiR0GCIiUTbazGZ0Wp/i7lM6rVcCH3Vanwls0k05m5rZq0AjcKy7v9HbQdNt9t8BeAq4wt17rmoGkO4Us+Xl5UtrzH1J9wtGaWlp2sevrKxMe2KiKL0nEZGCkvlJfua4+8ReXu/ugF3bH/4DrOnuC8xsR+A+YEJvB02rw5+7/xp4AviWmf3YzFZOZz8RERFZITOB1TutjyVZu1/K3ee5+4LU42nAQDMb3Vuh6fb23x14Edid5FC/F8xst/RjFxERiTjPwtK36cAEMxtvZoOAvYD7O29gZquamaUeb0wyt3/WW6HpNvufCmzk7rNShY8BHgPuSnN/ERGR6Mtxhz93bzWzw4GHSY66m+rub5jZYanXJ5Mcfv8rM2sFEsBe7t5rpOkm/6KOxJ/yGRG8L4CIiEjUpJryp3V5bnKnx1cDV/enzD6Tf6opYbqZPQz8JfX0nl0DERERibu4zO3fZ/J3dzezDYBzgS1I9jyc4u73Zjk2ERERyYJ0m/2fAz5y92OyGYyIiEheK5Saf8pWwKFm9gGw9Ja+7v7NrEQlIiKSjwos+e+Q1ShEREQkZ9Kd2/+DbAciIiKSz8zj0+FPw/VEREQKTLrN/iIiIpL5uf2DUPIXERFJl5r9RUREJIpU8xcREUmTOvyJiIhIJKnmLyIiki7V/EVERCSKVPMXERFJR4wm+VHyFxERSVdMkr+a/UVERAqMav4iIiLpUs1fREREokg1fxERkTTFpcOfav4iIiIFRslfRESkwKjZX0REJF1q9hcREZEoUs1fREQkHZrhT0REpADFJPmr2V9ERKTAqOYvIiKSLtX8RUREJIpU8xcREUmDEZ8Of6r5i4iIFBjV/EVERNIVk5q/kr+IiEg6YjTOX83+IiIiBUY1fxERkXSp5i8iIiJRpJq/iIhIumJS81fyFxERSZM6/ImIiEgkqeYvIiKSLtX8RUREJIpU8xcREUmHo5p/X8xsdTP7l5m9ZWZvmNmR2TqWiIhILphndgklmzX/VuC37v4fMxsOvGRmj7r7m1k8poiIiPQha8nf3T8GPk49nm9mbwGVgJK/iIhEk5r902dm44ANgRdycTwREZG4MLPtzextM6szsxN72W4jM2szs936KjPryd/MhgF3A0e5+7xuXj/EzGaY2YzZs2dnOxwREZHllutr/mZWDFwD7ACsC+xtZuv2sN1FwMPpvI+sJn8zG0gy8d/m7vd0t427T3H3ie4+ccyYMdkMR0REJGo2Burc/V13XwzcDuzczXZHkMy3s9IpNJu9/Q24AXjL3S/L1nFERERyxjO89K0S+KjT+szUc0uZWSWwKzA53beRzZr/5sB+wNZm9kpq2TGLxxMREcmeTCf+ZPIf3XHpO7Uc0uWo1kMknV0OnODubem+lWz29n+G7oMWERGRpDnuPrGX12cCq3daHws0dtlmInB7ssGd0cCOZtbq7vf1VKhm+BMREUmDEaRGOx2YYGbjgQZgL2Cfzhu4+/iOx2Z2E/Bgb4kflPxFRETylru3mtnhJHvxFwNT3f0NMzss9Xra1/k7U/IXERFJV4BJftx9GjCty3PdJn13PyCdMpX8RURE0hRyPv5M0i19RURECoxq/iIiIulSzV9ERESiSDV/ERGRdMWk5q/kLyIiko40b8YTBWr2FxERKTCq+YuIiKRLNX8RERGJItX8RURE0qRr/iIiIhJJqvmLiIikKyY1fyV/ERGRNKnZX0RERCJJNX8REZF0OLFp9lfNX0REpMCo5i8iIpKumNT8lfxFRETSYKjDn4iIiESUav4iIiLpUs1fREREokg1fxERkTSZx6Pqr+QvIiKSDo3zFxERkahSzV9ERCRNGuonIiIikaSav4iISLpiUvNX8hcREUmTmv1FREQkklTzFxERSZdq/iIiIhJFqvmLiIikw3XNX0RERCJKNX8REZF0xaTmr+QvIiKSBkPN/iIiIhJRqvmLiIikKya39FXNX0REpMCo5i8iIpKmuFzzV/IXERFJhxOb3v5q9hcRESkwqvmLiIikydpDR5AZqvmLiIgUGNX8RWKitrZ26eOqqipKS0sBaGhooLm5udt9SkpKqK6u7raMrioqKigvLwegqamJxsbGHretqalZ+riuro6WlpZutysrK6OyshKARCJBfX19j2VG7T3V1tZGLmaI33nIuJhc81fyF4mB3v6xSu7pfOSPRCIBsPQLy4qKS29/8zyasGDixIk+Y8aM0GGIRE5HsulcK5JwdD7yR3/OhZm95O4Te3p9WPnqvv4PjspYbADP3nVsr8dMxbU9cAVQDFzv7hd2eX1n4BygHWgFjnL3Z3orUzV/ERGRdDg5n+HPzIqBa4BtgZnAdDO7393f7LTZ48D97u5m9k3gDmCd3spVhz8REZH8tTFQ5+7vuvti4HZg584buPsC/7IZfyhp9ExQzV9ERCRNAa75VwIfdVqfCWzSdSMz2xW4AFgZ+FFfharmLyIiEs5oM5vRaTmky+vWzT5f+Qri7ve6+zrALiSv//dKNX8REZF0Zb7mP6ePDn8zgdU7rY8FehwL6e5PmVmVmY129zk9bafkLxIDFRUVoUOQLnRO4scI0uw/HZhgZuOBBmAvYJ9l4jKrBupTHf6+BQwCPuutUCV/kRjomCBF8ofOSX6oqqoKHcIKcfdWMzsceJjkUL+p7v6GmR2Wen0y8DPgF2a2BEgAe3of4/iV/EVEMizqCSdOMjW5D5Ac5hdgbhx3nwZM6/Lc5E6PLwIu6k+Z6vAnEgNNTU00NTWFDkNSEomEzofkNdX8RWKgYy50NTXnB52P/NHQ0ACQsXn+4zK9r2r+IiISW83NzT3efGi5eIaXQJT8RURECoya/UVERNKkZn8RERGJJNX8RURE0uFAezyq/kr+IiIi6YpH7lfyF4mDmpqa0CFIFzon+aGkpCR0CHlJyV9EJMOUcPJHdXV1RstThz8REelWphOOSKap5i8SA3V1dYCSTr7Q+YixAHP7Z4OSv0gMtLS0hA5BOtH5yB+1tbWA+mB0peQvIgXPWz+EtvczVt7QgcmyfFGGbu5TvCY2YM3MlCUrJC7X/JX8RaSg+ZL/4k37gX+esTLXHJkqO1NTyttIKL8FG/j1DBUoyyXwfPyZpA5/IlKwvLUeb56U0cSfFf453jwJb60LHYnEhJK/iBQkb/0Qb9of2j8LHUp62pvwpgOSlygkCAPMPaNLKEr+IlJwvO1jvPkAaJ8VOpT+aZ+FN+2PtzWGjkQiTslfJAbKysooKysLHUYkeNvsZI2/bWboUJZPe0PqC0DEvrjERXuGl0DU4U8kBiorK0OHEAne3pSs8WewZ38QbR8k30f5rVhReeho8lpFRUVGywvZVJ9JqvmLSEHw9nl40y+h9X+hQ8mM1jq8aRLePi90JHmtvLyc8nJ9QepKyV8kBhKJBIlEInQYecvbF+LNB0Hrm6FDyazWt/DmA/H2BaEjKQyehSUQJX+RGKivr6e+vj50GHnJvQWfexgseSV0KNmx5FW8+VDcNatgd5qammhqytBkSzGi5C8iseW+GG/+NSx+IXQo2bVkOt78f7gvDh1J3mlsbKSxMVOjIzw5t38ml0CU/EUkltxb8blHweKnQ4eSG4ufweceiXtr6EhizTyzSyhK/iISO+7t+OfHwaLHQoeSW4sexz//Le5toSORPKehfiISK+6OzzsFWv4eOpQwWh7CKYGRF2JmoaOJHw31ExHJPz7/bEjcHTqMsFruxeedFToKyWOq+YtIbLTPvxi+uC10GPkh8WfarYSiESeGjiQ+HCzgrHyZpOQvEgNVVVWhQwiuff6VsPD60GHkly+m0m6lFA0/MnQkkmeU/EVioLS0NHQIQfmCP8LCq0OHkZ8WXoNbCTbs0NCRBFFTU5PZAmNyzV/JX0QizRf+CV9wSegw8pov+B1YKTb0F6FDib545H51+BOJg4aGBhoaGkKHkXP+xV34/HNDhxEJPv88/Is7QocheUI1f5EYaG5uBgrr7n6eeBCfdyqxqYplnePzTgcrwUp/EjqYnKmrqwOguro6I+XF5a5+Sv4iEjne8ij++fEEvSF6JLXjn58INhgr2S50MDnR0qJ7HnRHzf4iEim+6KnktL1oGtvl04rPPQZf9EToQKJJc/uLiOSWL3oBbz4cWBI6lIhbgjcfgS96LnQg0eIkG5syuQSi5C8ikeCLX07empewzbj/+OdCvr7F+6y16ftcdNVXbxXbPLeNn05qZIOtP+A7O3xI7X8Xpb1vbi3C5/4KX/yfwHFICFlL/mZWYmYvmtmrZvaGmWmuSRFZLr7kDbz5IPCFQeNoa3OOOHk2f7+tkton1+T2++bz5tuLltnmgiub2KBmMK/8c01uunJVjj5tdtr75px/gTcfhC+pDRtHRBiOeWaXULJZ818EbO3u6wMbANub2XeyeDyRglVSUkJJSUnoMLLCl/wPb5oEPj90KLz4cgtV4wbytTUHMmiQsefOw7n/4WW/kLz5zmK23mIIAOtMGMT7H7Xy6ezWtPYNwhfgTb/El7wdOhLJoawlf09akFodmFriMUZCJM9UV1dnbChTPvHW9/DmA8Dnhg4FgIZPWlm98stBUpWrDaDhk2U7Hq6/7mDunZb81/fiyy18MHMJMxtb09o3GJ+LN0/CW98NHUnGlZWVUVZWlrkC1eGvb2ZWbGavALOAR939hWweT0Tiw30R3vRLaJ8dOpSluvtf3fWuuSccUUbz5218a5sPuPqGuWxYM5gBAyytfYNqn4M3TcI9XkPjKisrMzv/RUySf1bH+bt7G7CBmY0C7jWzGndf5uKSmR0CHAKwxhprZDMcEYkQs8Ew7LDkxDR50mg4drUBfNTwZW294eNWKlZZ9t/oiOHFTL18VQDcnaqN32f8GgP4ItHe576h2bBfYRbPy0eyrJz09nf3ucATwPbdvDbF3Se6+8QxY8bkIhyR2KmtraW2Nn6dtmzIntjwU0KHsdRGG5RQ995i3vtwCYsXO3/923x22m7oMtvM/byNxYuTX1auv20e3/1OKSOGF6e1b0g2/GRsyF6hw8i4RCJBIpHITGExGuqXta+dZjYGWOLuc82sFNgGuChbxxOReLKhvwBPJG9OE9iAAcaV56/MDns30NYGk/YawXprD2byzXMBOGz/Ubz1v8Uc8JtPKS6Cr681iOsvW6XXffOBDTsaG3pA6DCyor6+HsjC3f0iLpttTqsBN5tZMckWhjvc/cEsHk9EYsqGHYp7AhZeGzoUdvzBUHb8wbI19sP2H7X08aYTS3n72XFp7xvc0MOwYb8KHUVkaG7/Prj7a8CG2SpfRApL0fCjaPcEfHFj6FDiY8gBFA0/JnQU0gcz2x64AigGrnf3C7u8vi9wQmp1AfArd3+1tzLzq7eJiEgvikacRLsvgsSfQ4cSfaV7UTTi5NBRRE+Oa/6p1vNrgG2BmcB0M7vf3d/stNl7wJbu3mxmOwBTgE16K1fJX0QixUackbwE0HJv6FCiq2QXbIQmXe2/IMPzNgbq3P1dADO7HdgZWJr83f3ZTts/D4ztq1DN7S8ikWJm2MjzoWSH0KFEU8kO2MgLsLyaZKCgjTazGZ2WQ7q8Xgl81Gl9Zuq5nhwIPNTXQVXzF4mBioqK0CHklFkxjLwU98Ww6PHQ4UTH4K2wkZcmPz/pPycbNf857j6xl9e7+5bWbRBmthXJ5L9FXwdV8heJgfLy8tAh5JzZQBh1Bd58GCx+JnQ4+W/QZtioq5KfWwGpqqoKHcKKmgms3ml9LNDYdSMz+yZwPbCDu3/WV6Fq9heRyDIbhJVdAwM3Ch1Kfhs4ESu7DrNBoSPJudLSUkpLSzNXYO4n+ZkOTDCz8ZY8gXsB93fewMzWAO4B9nP3d9IpVDV/kRhoakreG74wWwBKoewPePMkWNLr6KbCNPCbWNmU5OckKyzX4/zdvdXMDgceJjnUb6q7v2Fmh6VenwycDqwEXJvqy9Hax6UEJX+ROGhsTLYCFmLyB7CiYVB2A960H7S+FTqc/DFgHazshuTnU6AaGhoAMntznxxz92nAtC7PTe70+CDgoP6UqWZ/EYkFKxqBld8IA+J3a+PlUlyFld+EFY0MHUlQzc3NNDc3Z67AmNzVT8lfRGLDisqxspugeM3QoYRVvEYq8RdmS5D0TclfRGLFilfGym+GosIa/rhUUQVWfjNWvEroSOLHgXbP7BKIkr+IxI4VV2Dlt0DRyqFDya2ilVOJP7rXt/Nbhpv81ewvIpJZNiDZ9E2hNH1bWbKpf0CBX/KQtCj5i0hs2YBqrGwqWMw7vVmys6Ops2P2xaTmr6F+IjFQU1MTOoS8ZQPXhbLr8eYDwBeGDifzbGhyON/AdUNHkpdKSkpCh5CXlPxFJPZs0PpQNgVvPgg8ETqcDCpJTuAzaP3QgeSt6uoMt4YErK1nkpr9RaQg2KCNsFHXAnGZ4nYQVnYtNkhTG0v/KfmLxEBdXR11dXWhw8h7NnhzbNRVQNRvbjMAG3UFNrjPm7dJJmmon4jkk5aWFlpaWkKHEQlWshU26lKS06RHURE28hKs5AehA4mE2tpaamtrM1Sag7dndglEyV9ECo6V7ICNPJ/ub5WezwwbcT5W+qPQgUjEqcOfiBQkK90VvAWfd0boUNJmI87Ahvw0dBiFTR3+RESizYbsjQ0/KXQYabHhJ2BD9gkdhsSEav4iUtBs6CSwQfjiVzNW5ty5cwEYNWpURsqzgd/Ahu6XkbJkBXR0+IsBJX8RKXg2ZF9syL4ZK69xZrKDWfk4Tb4UOzFp9lfyF4mBsrKy0CFIFzonks+U/EVioLJSd3HLNzon+aGiIsO3dlbNX0REupPxhCPLrby8QO7q2E9K/iIxkEgk56svLS0NHIlA8jwkEgmdj9gJeye+TFLyF4mB+vp6QHf3yxc6H/mjqakJyFALgAPt4WblyyQlfxERia3GxkZAzf9dKfmLiIikKybN/prhT0REpMCo5i8iIpIu1fxFREQkilTzFxERSYtrbn8RyR9VVVWhQ5AudE5iyMFdQ/1EJE9oMpn8o3OSHzTXQveU/EVEMkwJJ8Zi0uyvDn8iMdDQ0EBDQ0PoMCRF50PynZK/SAw0NzfT3NwcOgxJ0fnIH3V1ddTV1WWuQPfMLoGo2V9ERGKrpaUlc4W5x2Zuf9X8RURECoxq/iIiIunSDH8iIiISRar5i4iIpMljcs1fyV8kBkpKSpZZr62t7XHbioqKpfc2b2pqWnq/8+50Hq9eV1fXY+epsrIyKisrAUgkEtTX1/dYZlVV1dIJcBoaGnrsFV9SUkJ1dfXS9Si9p474oxh73M5HZoXtoZ9JSv4iMdD5n7LkhwED9O81H5SVlbFkyZLQYeQd8zz6FjNx4kSfMWNG6DBERKQAmdlL7j6xp9dHFq3k3xm8Y0aP+UjLrb0eM1vU4U9ERKTAqF1KREQkXTG5q59q/iIiIgVGNX8REZE0OOAxuaufkr+IiEg63NXsLyIiItlnZtub2dtmVmdmJ3bz+jpm9pyZLTKzY9MpUzV/ERGRNOW62d/MioFrgG2BmcB0M7vf3d/stFkT8Btgl3TLVc1fREQkf20M1Ln7u+6+GLgd2LnzBu4+y92nA2nPZqSav4iISLpyf82/Evio0/pMYJMVLTSvkv9LL700x8w+CB1HjowG5oQOQpbS+cgfOhf5o9DOxZq9vTif5ocf87tGZ/iYJWbWeWrbKe4+pdO6dbPPCl97yKvk7+5jQseQK2Y2I8SUjtI9nY/8oXORP3QuluXu2wc47Exg9U7rY4Ge75SUJl3zFxERyV/TgQlmNt7MBgF7AfevaKF5VfMXERGRL7l7q5kdDjwMFANT3f0NMzss9fpkM1sVmAGMANrN7ChgXXef11O5Sv7hTOl7E8khnY/8oXORP3Qu8oC7TwOmdXlucqfHn5C8HJC2vLqlr4iIiGSfrvmLiIgUGCX/APqaqlFyw8ymmtksM6sNHUuhM7PVzexfZvaWmb1hZkeGjqmQmVmJmb1oZq+mzsdZoWOSzFKzf46lpmp8h05TNQJ7d5mqUXLAzL4HLABucfea0PEUMjNbDVjN3f9jZsOBl4Bd9HcRhpkZMNTdF5jZQOAZ4Eh3fz5waJIhqvnnXp9TNUpuuPtTJOfElsDc/WN3/0/q8XzgLZIzm0kAnrQgtTowtaimGCNK/rnX3VSN+icnkmJm44ANgRcCh1LQzKzYzF4BZgGPurvOR4wo+edeVqZqFIkDMxsG3A0c1dsYZck+d29z9w1IDiHb2Mx0aSxGlPxzLytTNYpEXera8t3Abe5+T+h4JMnd5wJPACGmtpUsUfLPvaxM1SgSZakOZjcAb7n7ZaHjKXRmNsbMRqUelwLbAP8NGpRklJJ/jrl7K9AxVeNbwB3u/kbYqAqTmf0FeA5Y28xmmtmBoWMqYJsD+wFbm9krqWXH0EEVsNWAf5nZayQrLI+6+4OBY5IM0lA/ERGRAqOav4iISIFR8hcRESkwSv4iIiIFRslfRESkwCj5i4iIFBglf5EIMbMzzezY0HGISLQp+YuIiBQYJX+RPGBmvzCz11L3T/+Tma1pZo+nnnvczNboZp8nzGxi6vFoM3s/9fgAM7vPzB4ws/fM7HAzO8bMXjaz582svNP+F6Xu2/6OmX03p29aRIJR8hcJzMzWA04Btnb39YEjgauBW9z9m8BtwJX9LLYG2IfkLaTPA75w9w1Jzmj4i07bDXD3jYGjgDNW5H2ISHQo+YuEtzVwl7vPAXD3JmBT4M+p1/8EbNHPMv/l7vPdfTbwOfBA6vnXgXGdtuu4gc5LXZ4XkRhT8hcJz+j7ts7dvd7Kl3/DJV1eW9TpcXun9XZgQDfbtXV5XkRiTMlfJLzHgT3MbCWA1DX5Z0ne8RFgX+CZbvZ7H/h26vFuWY5RRGJE3/RFAnP3N8zsPOBJM2sDXgZ+A0w1s+OA2cCkbna9FLjDzPYD/pmzgEUk8nRXPxERkQKjZn8REZECo+QvIiJSYJT8RURECoySv4iISIFR8hcRESkwSv4iIiIFRslfRESkwCj5i4iIFJj/B0+KxQUJ70ZVAAAAAElFTkSuQmCC\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"two_qubit_interaction_heatmap = cirq.TwoQubitInteractionHeatmap({\n",
" (cirq.GridQubit(0, 0), cirq.GridQubit(0, 1)): 0.1,\n",
@@ -215,9 +185,9 @@
},
"source": [
"# Heatmap configurations\n",
- "Once can also pass a valid set of config parameters to the `heatmap.plot(ax, **kwargs)` function, which would temporarily update the internal config based on the parameter values passed as `kwargs`.\n",
+ "You can also pass a valid set of config parameters to the `heatmap.plot(ax, **kwargs)` function, which would temporarily update the internal config based on the parameter values passed as `kwargs`.\n",
"\n",
- "Below, we show some examples of useful config parameters for the heatmaps."
+ "Below, you can see some examples of useful config parameters for the heatmaps."
]
},
{
@@ -231,22 +201,11 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {
"id": "b53fa792a37a"
},
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"_, ax = plt.subplots(figsize=(8, 8))\n",
"_ = two_qubit_interaction_heatmap.plot(ax,\n",
@@ -271,22 +230,11 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": null,
"metadata": {
"id": "119fbd396d41"
},
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"_, ax = plt.subplots(figsize=(8, 8))\n",
"_ = two_qubit_interaction_heatmap.plot(ax,\n",
@@ -309,22 +257,11 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": null,
"metadata": {
"id": "de989ba0c37f"
},
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"_, ax = plt.subplots(figsize=(8, 8))\n",
"_ = two_qubit_interaction_heatmap.plot(ax,\n",
@@ -344,29 +281,18 @@
},
"source": [
"## PolyCollection properties\n",
- "The properties of the polygons representing the single qubit vertices / two-qubit interaction edges can be modified by passing keyword arguments to `collection_options`, which will get forwarded as `**kwargs` to `matplotlib.collections.PolyCollection`.\n",
+ "You can modify the properties of the polygons representing the single qubit vertices / two-qubit interaction edges by passing keyword arguments to `collection_options`, which will get forwarded as `**kwargs` to `matplotlib.collections.PolyCollection`.\n",
"\n",
- "For example: A color or a list of colors (corresponding to each polygon) can be passed to `edgecolors` to modify the edge colors of the polygons."
+ "For example: You can specify a color or a list of colors (corresponding to each polygon) as the value for key `edgecolors` to modify the edge colors of the polygons."
]
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {
"id": "b0ba4868305f"
},
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": ""
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"_, ax = plt.subplots(figsize=(8, 8))\n",
"_ = two_qubit_interaction_heatmap.plot(ax,\n",