{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "e0c57b3a"
   },
   "source": [
    "##### Copyright 2020 The Cirq Developers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cellView": "form",
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:42.434354Z",
     "iopub.status.busy": "2025-05-30T10:12:42.434000Z",
     "iopub.status.idle": "2025-05-30T10:12:42.437745Z",
     "shell.execute_reply": "2025-05-30T10:12:42.437173Z"
    },
    "id": "020331ec"
   },
   "outputs": [],
   "source": [
    "# @title 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",
    "#\n",
    "# https://www.apache.org/licenses/LICENSE-2.0\n",
    "#\n",
    "# Unless required by applicable law or agreed to in writing, software\n",
    "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "# See the License for the specific language governing permissions and\n",
    "# limitations under the License."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "gross-longer"
   },
   "source": [
    "# Qubit Placement\n",
    "\n",
    "This notebooks walks through qubit placement runtime features exposed through the `cirq_google.workflow` tools."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3609cf6b"
   },
   "source": [
    "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://quantumai.google/cirq/google/qubit-placement\"><img src=\"https://quantumai.google/site-assets/images/buttons/quantumai_logo_1x.png\" />View on QuantumAI</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://colab.research.google.com/github/quantumlib/Cirq/blob/main/docs/google/qubit-placement.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/colab_logo_1x.png\" />Run in Google Colab</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://github.com/quantumlib/Cirq/blob/main/docs/google/qubit-placement.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/github_logo_1x.png\" />View source on GitHub</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a href=\"https://storage.googleapis.com/tensorflow_docs/Cirq/docs/google/qubit-placement.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/download_icon_1x.png\" />Download notebook</a>\n",
    "  </td>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:42.440307Z",
     "iopub.status.busy": "2025-05-30T10:12:42.439811Z",
     "iopub.status.idle": "2025-05-30T10:12:57.290541Z",
     "shell.execute_reply": "2025-05-30T10:12:57.289365Z"
    },
    "id": "0f3974f5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "installing cirq...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n",
      "tensorflow-metadata 1.17.1 requires protobuf<4.22,>=4.21.6; python_version < \"3.11\", but you have protobuf 5.29.5 which is incompatible.\u001b[0m\u001b[31m\r\n",
      "\u001b[0m"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "installed cirq.\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    import cirq\n",
    "except ImportError:\n",
    "    print(\"installing cirq...\")\n",
    "    !pip install --quiet cirq\n",
    "    print(\"installed cirq.\")\n",
    "    import cirq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:57.294161Z",
     "iopub.status.busy": "2025-05-30T10:12:57.293755Z",
     "iopub.status.idle": "2025-05-30T10:12:57.297367Z",
     "shell.execute_reply": "2025-05-30T10:12:57.296707Z"
    },
    "id": "subjective-sponsorship"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "sporting-inspector"
   },
   "source": [
    "## Target Device\n",
    "\n",
    "First, we get an example target device and---crucially---its qubit connectivity graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:57.300556Z",
     "iopub.status.busy": "2025-05-30T10:12:57.299888Z",
     "iopub.status.idle": "2025-05-30T10:12:57.927769Z",
     "shell.execute_reply": "2025-05-30T10:12:57.927057Z"
    },
    "id": "acknowledged-declaration"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cirq_google.workflow import SimulatedProcessorWithLocalDeviceRecord\n",
    "\n",
    "rainbow_record = SimulatedProcessorWithLocalDeviceRecord('rainbow')\n",
    "rainbow_device = rainbow_record.get_device()\n",
    "rainbow_graph = rainbow_device.metadata.nx_graph\n",
    "\n",
    "_ = cirq.draw_gridlike(rainbow_graph, tilted=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "roman-scanning"
   },
   "source": [
    "## Target problem topology\n",
    "\n",
    "We'll use a `NamedTopology` to talk about the graph connectivity of our circuit. In this case, we'll construct a random circuit on a `cirq.TiltedSquareLattice` topology of a given width and height."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:57.931171Z",
     "iopub.status.busy": "2025-05-30T10:12:57.930388Z",
     "iopub.status.idle": "2025-05-30T10:12:58.026041Z",
     "shell.execute_reply": "2025-05-30T10:12:58.025442Z"
    },
    "id": "weighted-transaction"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "topo = cirq.TiltedSquareLattice(3, 2)\n",
    "_ = cirq.draw_gridlike(topo.graph, tilted=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.028588Z",
     "iopub.status.busy": "2025-05-30T10:12:58.028147Z",
     "iopub.status.idle": "2025-05-30T10:12:58.716336Z",
     "shell.execute_reply": "2025-05-30T10:12:58.715622Z"
    },
    "id": "northern-houston"
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<cirq.contrib.svg.svg.SVGCircuit at 0x7f0f52a1f7c0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit = cirq.experiments.random_rotations_between_grid_interaction_layers_circuit(\n",
    "    qubits=sorted(topo.nodes_as_gridqubits()), depth=4\n",
    ")\n",
    "\n",
    "from cirq.contrib.svg import SVGCircuit\n",
    "\n",
    "SVGCircuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "automated-entertainment"
   },
   "source": [
    "### Verify circuit connectivity\n",
    "\n",
    "We use a topology to generate a random circuit. Now we can extract the implied circuit topology from the two qubit gates within to verify that it is indeed the topology we requested:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.719408Z",
     "iopub.status.busy": "2025-05-30T10:12:58.718909Z",
     "iopub.status.idle": "2025-05-30T10:12:58.821677Z",
     "shell.execute_reply": "2025-05-30T10:12:58.820980Z"
    },
    "id": "acting-disease"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cirq.contrib.routing import get_circuit_connectivity\n",
    "\n",
    "circuit_graph = get_circuit_connectivity(circuit)\n",
    "_ = cirq.draw_gridlike(circuit_graph, tilted=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "banned-scotland"
   },
   "source": [
    "## QubitPlacer\n",
    "\n",
    "The following classes follow the `QubitPlacer` interface. In particular, there is a method `place_circuit` which maps arbitary input qubits in a circuit to qubits that exist on the device. It accepts a named problem topology and other runtime information to provide more context to the qubit placers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.824754Z",
     "iopub.status.busy": "2025-05-30T10:12:58.824264Z",
     "iopub.status.idle": "2025-05-30T10:12:58.828703Z",
     "shell.execute_reply": "2025-05-30T10:12:58.828024Z"
    },
    "id": "objective-webcam"
   },
   "outputs": [],
   "source": [
    "# set up some other required arguments.\n",
    "# In a real `cirq_google.workflow.execute()` run, these will be\n",
    "# handled for you.\n",
    "\n",
    "from cirq_google.workflow import SharedRuntimeInfo\n",
    "\n",
    "shared_rt_info = SharedRuntimeInfo(run_id='example', device=rainbow_device)\n",
    "\n",
    "rs = np.random.RandomState(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "optical-express"
   },
   "source": [
    "## RandomDevicePlacer\n",
    "\n",
    "The `RandomDevicePlacer` will find random, valid placements. On a technical level, this uses networkx subgraph monomorphism routines to map the problem topology to the device graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.831503Z",
     "iopub.status.busy": "2025-05-30T10:12:58.830925Z",
     "iopub.status.idle": "2025-05-30T10:12:58.834352Z",
     "shell.execute_reply": "2025-05-30T10:12:58.833729Z"
    },
    "id": "introductory-oxford"
   },
   "outputs": [],
   "source": [
    "from cirq_google.workflow import NaiveQubitPlacer, RandomDevicePlacer, HardcodedQubitPlacer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.836989Z",
     "iopub.status.busy": "2025-05-30T10:12:58.836418Z",
     "iopub.status.idle": "2025-05-30T10:12:58.976304Z",
     "shell.execute_reply": "2025-05-30T10:12:58.975694Z"
    },
    "id": "outdoor-greeting"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rdp = RandomDevicePlacer()\n",
    "\n",
    "placed_c, placement = rdp.place_circuit(\n",
    "    circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs\n",
    ")\n",
    "cirq.draw_placements(rainbow_graph, circuit_graph, [placement])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "drawn-apache"
   },
   "source": [
    "## NaiveQubitPlacer\n",
    "\n",
    "As a fallback, you can rely on `NaiveQubitPlacer` which will map input qubits to output qubits. Be careful though! This means you have to choose your qubits as part of circuit construction, which is not advised if you're using `cirq_google.workflow` best practices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:58.979009Z",
     "iopub.status.busy": "2025-05-30T10:12:58.978632Z",
     "iopub.status.idle": "2025-05-30T10:12:59.096600Z",
     "shell.execute_reply": "2025-05-30T10:12:59.095979Z"
    },
    "id": "prepared-crisis"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XLsLDwwG499576d27t0U7rVbL6dOnGTlyJAAVtVqyi6os2uRvnk9N1kHjB5Ua79/dSbtB4687W3ZhFZW1WvPQxbt27WLv3r3MnDmzQVu1Wk1YWBiZmZnXvT0hROsjtwmEuEE6nY7U1FRGjRplLgQAevTowbBhwyzaFhUVYTAY8Pf3B+BcYSWXd9rxv+MRQsa9SuBdU3DrcDMGnRaDXnfd+QzA2ULjbYa8vDweeOABunbtyosvvthoe39/fwoKCq57e0KI1keKASFuUH5+PtXV1XTv3nCQn+jo6EaXMfXbrdPqG8xzDe2GR9db8O6bSOj4V6m7eILC/7fohjLWafVUVlZyzz33UF5ezueff37FDoIGg6FBPwchRNsmxYAQzSggIACFQkFxcTEAruqr/xNUqFzw6D6AquN70Wtqr3u7Cr2WMWPGcOjQIT7//HN69ep1xbbFxcWN9icQQrRdUgwIcYOCg4Px8PDg5MmTDeYdP37c4rNarSYiIoKsrCwAugR6ca3fwQ2aOsCAoa76+gIa9Mx7cRLffPMNH374IbfffvsVm2q1WnJycujRo8f1bUsI0SpJMSDEDVKpVAwbNozNmzeTnf3bEMDHjh0jNTW1QfuBAwdy4MABALzc1IT/+pZBXWVJg7b6mgqqTqSj8g1G5dXuuvLVffseGz/ZwLJlyxgzZsxV22ZmZlJTU8Ntt912XdsSQrRO8jSBEDYwZ84ctm7dSnx8PM899xxarZYlS5YQExPDoUOHLNqOHDmSNWvWcOLECaKiohgSHcKafee4uCEJlU8Qbh2iUXr5oSvNp+Lw1+gqiggaadnZr2TXOkr3fETon1/DvXOfK+aqOPA5hXs/Z+DAgXh6erJ27VqL+aNHj8bLy8v8efv27Xh6epKQkGCDvSKEaC2kGBDCBvr06UNqairTpk1j9uzZdOrUiTlz5nDx4sUGxcDw4cMJCgpiw4YNzJw5kwkDwvlg71m8+yRQeexbyvZvRl9bidLdG7cO0fiOmI57mOU9foOmBlCg8va/aq6a3DMA7N27l7179zaYn5WVZVEMfPLJJ4wZMwYfH5/r3BNCiNZIigEhbGTw4MHmy/8mycnJDdq5uroyZcoUVq1axUsvvUT3UB/iI4NIVw7Hp989Vm2rJucIntG34RIYdsU2KqWC0c+nsObxr6/Ypr4ff/yR77//nnfeeceq9kKItkP6DAjRAqZOnUpFRQXr168H4LXRvVFfYUjiy+lrq6jLy6Jd/MSrtlMrFbw2uvdV29Q3f/58xo4dy+9+9zurlxFCtA1yZUCIFuDt7U1eXp75c1iAJ3NGxDDjs8PXXFbp5knnFzZfs93cETGE/do50RqmwkQI4XzkyoAQDmJ8/3CmJ0bZZF0vJEYzrn/4tRsKIQTyCmMhHM76/dkkbTmKVm+weIHRtaiUCtRKBXNHxEghIIQA5BXGQrRa4/uH8/XU27mtWyDAFV9vbGKaf1u3QL6eersUAkKIJpM+A0I4oLAAT9Y8PoCTl8pZty+btBN5ZBdWWbzUSAGEB3oyJCqEiXHhRIbI44BCiOsjtwmEaCUqa7Vs3ZPBAxMf4sO1q7lzUD/za4mFEKIxcptAiDbGy01N13Yu1F08Qdd2LlIICCFsRooBIYQQwslJMSCEEEI4OSkGhBBCCCcnxYAQQgjh5KQYEEIIIZycFANCCCGEk5NiQAghhHByUgwIIYQQTk5GLRHiCiprtZwtrKROq8dVraRLoFeLDvRTWaslq0SDa/sosko0RNdqWyyPo+0bIcSNkeGIhajH/C6A43lkFzXyLoAAT4ZEhzBhQDjdQ+3/LgBHyuNIWYQQ1rH2/C3FgBBATlEVL286zK5TBaiUiqu+Otg0Pz4yiNdG9yYswLNN53GkLEKIppFiQAgrrd+fTdKWo2j1hque6C6nUipQKxXMGRHDeBu+NtiR8jhSFiFE08mLioSop6KigpCQENatW2cxfWnaSWZ8dpharb5JJzsAnd5ArVbPjM8OszTtZJPzuLi4cM899zhsnpbKYhIXF8eLL754XcsKIZpGigHhFBYvXoyPjw/jx483T1u/P5sF206YPxd+9Rbn5t9D3idzmrz+BdtO8PH+bCoqKkhKSuLOO+8kICAAhULBBx980GiewMBAduzYQW5urt3y7N+/n0mTJhETE4OXlxfh4eHcf//9nDhxwqL95Xkuz3IjeUxZAI4ePcp9991Ht27d8PT0JCgoiMGDB/Pf//63wXJ///vfefvtt837RwhhP1IMiDZPo9GwePFinnjiCVQqFWC8D5605ai5Te3Fk1Qc/gaF2vW6tzN7y1EOncph7ty5HDt2jL59+141z5QpU/Dz82PZsmV2y5P06mts3LiRoUOHsnjxYp566im+/fZbYmNjOXLkSKN55r+x2CKLLfLM3nKUnKIqzp07R3l5OQ8//DCLFy9m1qxZAIwYMYJ///vfFsuMHDkSX19fli1bdl3bFEJYT54FEm3eF198QX5+Pvfff7952subDqP99dK3wWCg+OsVePX6AzVnf7ru7Wj1BpZ+V8DFixe56aabOHDgAP37979innHjxnHx4kVWr17NmfC77ZJHH3M35z79GFfX307i48aNo3fv3syfP5+1a9c2yLPy/Q8Ieer/zO1tkUerN/DypsOsefxu7r77bot5kyZNol+/fixcuJCnnnrKPF2pVDJ27FhWr17NnDlzUCgU17VtIcS1yZUB0Wrt3r2b/v374+7uTkREBCtWrCA5ObnBSWPz5s106dKFiIgIwPiI3K5TBeb74JVHdlCXfw7/wQ/dUJ7Kc0fYOOdxOv+6rc8++wyARx999Ip5EhISOHfuHDv2fG+XPGkf/AsfX1+L/RMVFUVMTAzHjh1rkCem//9RWZhLzcXTv63HBnl0egO7ThVwKq+8wTyVSkVYWBglJSUN5pn2z48//njd2xZCXJtcGRCt0uHDh0lMTCQ4OJjk5GS0Wi1JSUmEhoY2aJuenk5sbKz587p92eZH4PS1VZTs/AC/gfej8va/7jx1eWfJ+3g2Kk9fbr//We6ICmTRokWNtq2fp1+/fsblLxzD9aYIu+apv38uXbpETExMgzwndMEA1JzPtGkeMD5hsPa7bJJHxFBZWUl1dTWlpaVs2bKFr776inHjxjVYxrR/9uzZwy233HJD2xdCXJkUA6JVmj17NgaDgV27dhEebnx07d5776V3794W7bRaLadPn2bkyJHmaWnH88y/hZfuWY9C7Ypv/1E3lKdk11rAQOiE19F068LM6UOIjo62uDXRWJ6OHTuiULlQm5+Nt53z1N8/58+fZ+7cuQ3yZBQoQKVGU5ADNswDxqsDaSfySCaGv/3tb6xYsQIw3g4YM2YMS5cubbBMx44dcXV1JTMz84a3L4S4MrlNIFodnU5Hamoqo0aNMhcCAD169GDYsGEWbYuKijAYDPj7G3+rrajVkl1UBYCm6DxlB7bQbshjKNQu153HoNdRk/UDHt3jUPuFkF1YRWWtlq5duzZo21gehbsX+uoyu+fp0aMHgwYNAmDgwIE8/PDDFnlM+0bp7m3TPPWZsjz//PNs376d//znP9x1113odDrq6uoaXcbf35+CggKbbF8I0Ti5MiBanfz8fKqrq+nevXuDedHR0Xz55ZcNppvG1jpXWGkeRrfo63/j1vFmvG4edEN59FVlGLS1uPh3MG4L2Long+oLvz1ff/DgQeM2i4oA42/mBw8eJKtEY1wAhd3z+GhLycjIACApKYmffvrJIk/qngxjFBvnqc8AnC2sJObmm7n55psBeOihh0hMTGT48OHs27evQZ8Pg8EgnQeFsDMpBkSbZnrWv7i4GIA6rR6A6rM/UXMmg+DRL6MtufTbAgYdBm0t2pJLKD18ULpd33C6D0x8iLqLvz2nb7r3bbJ8+XKWL1+Oa/so9LUV6HV1ds3z5wcmoLn0W6fAO++8s0Ge9zZ/Q/uHF9o9j+kY1Dd27FiefvppTpw4QXR0tMW8kpISgoKCmrwdIYT1pBgQrU5wcDAeHh6cPNlwZLvjx49bfFar1URERJCVlQWAq9p4Z0xXlg9A/qbXGqxDV17I+Xcex3/ok/j2H9lg/uWUnr4o1G5oii+Yp324djXVF07y4IMPAph/IwcYNWoUkZGRLFiwgAMnz/P0+BEoXT3slsegrSMyxIesUneioqI4dOhQo3n+MvMf/PWzn0GntWmey5mOQX3V1dUAlJaWWkw/f/48dXV19OjRo8nbEUJYT4oB0eqoVCqGDRvG5s2byc7ONvcbOHbsGKmpqQ3aDxw4kJ07dwLQJdALBeDeuQ/BY15p0LZw61LUviH43XY/LsFdrMqjUKpw73oL1Se/Q1uah4tfCHcO6seXW7LNbeo/zXDHHXewc+dOYmNjOZV1DgCvHrfjFd3wcvyN5tGU5FL89btcOHuEJUuWMGnSpCvmuXNQPzTL/p/N89SnryyhS6CXxTSNRsPq1avx8PCgZ8+eFvNMRcttt93W5G0JIawnxYBolebMmcPWrVuJj4/nueeeQ6vVsmTJEmJiYjh06JBF25EjR7JmzRpOnDhBVFQU4QGenCMEtV9Ig/UWff0uKq92eEYNtJhe8MUiKo98Q8dn3kPdruHji+3iJ5CbdZDcdX/Hr1N3Ru5fRHp6unn+vHnzAJg8ebJFnl07d+DWLgSPiFsbvS9+o3kurpqMoa6a6OhoZsyYQYcOHcjJyWHt2rUATJw40Zzn/LkzqC8eRuUbbPM8JlU7ljPi7lUMHjyYjh07kpuby7p16/j5559544038Pb2tmi/fft2wsPD5bFCIexMniYQrVKfPn1ITU0lODiY2bNns2rVKubMmcPo0aMbtB0+fDhBQUFs2LABgCHRIaiUTeuQZtBUo1C7oXT3anS+a0hXQu6fi8rTj6LMdL755hvzpW+AWbNmMWvWLIqLi815Pv74YzZu3MjvE0ejVjXtn6K1eUyOHz9OaWkpOTnGRwYffPBB8y2M+nnKju3Bp/fQJnfYu1YeMI4zcMedI1EqlSxfvpxnn32WhQsX0qlTJz7//HOmTZtm0V6v17Nx40Yeeugh6UAohJ1JMSBarcGDB3PgwAFqa2s5ffo0Tz/9dKPtXF1dmTJlCqtWrUKn0zFhQPgV38LX6blVhNyX1GB6TU4mPrF/Qunu3chSRu7hvWj/yJucvFSGwWDAYDCQlGRcl+lzly5dzHnefvttiouL+ccrf7NbnvBpn1w1T/398/bbb6OpLsfrlruvuM4byaPTG5j/4jNs376d3NxcNBoNRUVFbN++nREjRjRov2XLFkpKSnjuueeuuE4hhG1IMSCcwtSpU6moqGD9+vV0D/UhPjLI6qsDdfnnMGhr8Y2796rtVEoF8ZFBRIb4WJWnsLCQoUOHMqhPd4fJ88ehQxnyu6gmXTmxJk9Tspi8/vrrTJo0ifbt21u9jBDi+kifAeEUvL29ycvLM39+bXRv/rjof1f8jbw+1+DOhE/75Jrt1EoFr43ufc12pjwajcYh8+QUVVmdxdo8Tclisnfv3ia1F0JcP7kyIJxSWIAnc0bE2HSdc0fEEBZwfeMAOFIeR8oihGgeCoPpxuFVlJWV4efnR2lpKb6+vs2RS4hmsTTtJAu2nbh2w2t4ITGavwyJbFN5HCmLEOL6WHv+ltsEwqlNGtKdIG83krYcRas3WH1pHIz3wdVKBXNHxDCuf/i1F2hleRwpixDCvuTKgBAY75O/vOkwu04VmF9vfCWm+fGRQbw2urddLn87Uh5HyiKEaBprz99SDAhRz8lL5azbl03aiTyyC6uo/49DAYQHejIkKoSJceFN6hnfFvI4UhYhhHWkGBDiBlXWatm6J4MHJj7Eh2tXc+egfni5tdydNUfK40hZhBBXZu35W54mEOIKvNzUdG3nQt3FE3Rt59LiJztHyuNIWYQQN06KASGEEMLJSTEghBBCODkpBoQQQggnJ8WAEEII4eSkGBBCCCGcnBQDQgghhJOTYkAIIYRwcvJwsHAYlbVazhZWUqfV46pW0iXQq8UH+ckq0eDaPoqsEg3RtVrJ44BZTHkc6bsjRGsjIxCKFmUe4vZ4HtlFjQxxG+DJkOgQJgwIp3toMw7/K3kcOosj5hHCEclwxMKhOdrLbyRP68jiiHmEcGRSDAiHtX5/9g29FnfOiBjG2/C1uJKndWRxxDxCODopBoRDWpp2kgXbTtzweqYnRjFpSHfJY8c8jpTFEfMI0RrIi4pEi6uoqCAkJIR169YBxt/qbPHDHGDBthN8vD+7yVkCAwNZtmyZQ+RxcXHhnnvuMU9zpDwtmcUR82g0GsLCwszfHSHaGuluK+xm8eLF+Pj4MH78eHKKqkjacpSKQ19T+OWbjbbvNGkNKm9/q9c/e8tRbosIIizAk9raWmbPns2aNWsoLi6mT58+zJs3j4SEBIsszz33HCkpKSSMGs/zr77Jpf8uskkWU56+oe589N7b7Nu3j++//57i4mLef/99HnnkEYu2ixcvJjAwkB07dpCbm4vG1dcuebxKz7F188ekpaVx9uxZAgMDiYuLY968eURFRTWaJ+PYGZK2HLfLsSq7mEVycjIZGRnk5ubi6elJz549eeGFFxg+fHiz57m8D0FKSgozZ84kJiaGI0eOmKe7uLgwbdo0UlJSeOyxx3B3d7d6W0K0BlIMCLvQaDQsXryYqVOnolKpeHnTYbT17vH6xU9A7XeTxTJKd68mbUOrN/DypsOseXwAjzzyCJ9++inPP/883bt354MPPuDuu+8mLS2NAQMGmLM8/vjjvPzyyzz0ykL0v94hs0UWU56XPtrD5rlzCQ8Pp2/fvuzcubNBO9O+ef7551myZAnLli0jq/Of7JLnLzOSqDt/jPvuu48+ffqQm5vL0qVLiY2N5bvvvqNXr14N8jz6YgraPvea12PLY/Xn9oWUl5fz8MMP06FDB6qqqti4cSMjRoxgxYoVPPXUU82aZ83jA8zTfvnlF1577TW8vBpf16OPPsqMGTP48MMPeeyxx5q0PSEcnRQDwi6++OIL8vPzuf/++zl5qZxdpwos5nt0uxW39jd231anN7DrVAEbt6axfv16/vWvfzF9+nQAHnroIXr16sWLL77ICy+8YM7Srl07Bt3+B9K/3ox3nwSbZTHlOVigIP3wSQb2iuTAgQP079+/QTvTvhk3bhwXL15k1fv/QTXh9+j12DxPbY+72bH5E3p2CjRPHzduHL1792b+/PmsXbvWIs+x0+f46NPNdIwZbW5vy2OVNHwwW7febTFv0qRJ9OvXj4ULF/LUU081a55TeeVEhhgfO5w+fTpxcXHodDoKCgoaLNOuXTsSExP54IMPpBgQbY70GRBNsnv3bvr374+7uzsRERGsWLGC5ORkFAqFRbvNmzfTpUsXIiIiWLcvG5VS0WBd+toqDHrddWepyTlK7n+mct+fjCd1tVptzuLu7s7jjz/O3r17WbdunTkLgFvn31H7SyZ6TY3NspjyXFr3IvGxMURERPDZZ58Bxt8o66u/bxISEjj/Sza6/CyLNrbKU/LNv+nTrYPFsYqKiiImJoZjx441yKO9qTe6sjw0l87YPI/mfCa3DxrY4LujVqsJCwujpKSkWfOolArWfmfsO/Dtt9/y6aef8uabb151mYSEBHbv3k1RUdENbVsIRyNXBoTVDh8+TGJiIsHBwSQnJ6PVaklKSiI0NLRB2/T0dGJjYwFIO57X4DGwSx+9jKGuGlRqPLrG4v+Hx3EJ6Gh1lrq8s+R9PBulpy9u/jfho6xj/vz5Fll+//vfm7MMHDjQPP2iawfAgLb4gk2yXJ4n7I8P8ehtnVm0qPH7//X3Tb9+/QCoyjmK0sXDrnnqH6tLly4RExPTIE+WIgSAmvOZNs+T+9EsXL39SE5OpqqqilmzZhEYaLxi8dVXXzFu3LhmywPGqwNpJ/KYpbuZyZMn88QTT9C7d++rLtOvXz8MBgPp6ekWnT+FaO3kyoCw2uzZszEYDOzatYsZM2Ywc+ZM0tLSOHr0qEU7rVbL6dOn6dq1KxW1WrKLqszzFC5uePX+IwEJzxA85hX8BtxLzbmfyF3zAtqyfKuzlOxaCxi4acLr6BQqesb0apClffv2AOTm5tK1a1cAKmq1FCrbAaCrKrVJlsvz0HcUU1+YwTvvvNOgXf19A+AXFAoqNZqCHJvtmyvlqb9/zp8/z7hx4xocq0s6L7vmCf7zfCZPnU5eXh75+fn8/PPPAIwePZqlS5c2Wx6T7MIqFi99m3PnzvHqq69es323bt0AyMzMvK7tCeGo5MqAsIpOpyM1NZVRo0YRHv7boC09evRg2LBhfPnll+ZpRUVFGAwG/P39OVdYaTFMrFePeLx6xJs/e0YNxL1rLJfWzaA0/WMC75x0zSwGvY6arB/w6B6H2i8Eg7aOsqoaqquriYuLY8+ePRw8eJBffvnF2N5goLq6moMHD5JVokHp7g2A2icQ/yG/3fu9niyN5gG27smgtrbW3ObgwYMW++byPPrqMpvsm6vl6drOhb59+3Lw4EH69OlD79692blzpzlP6p4MDGDXPCq/ELbuySAhIYG+ffuyaNEiTp48SWFhIQcOHEChUNg9T33a6jLmJicza9YsgoODr9ne39/4xEJjfQqEaM2kGBBWyc/Pp7q6mu7dG3bcio6OtigGTAwGA3Va/TXX7R4Wg2uHKGrO/mRVFn1VGQZtLS7+HQBQqF358ccfzZfcAYs/Ayxbtoxly5bh2j6K0Af+8evUhv0YmpqlsTwAD0x8iLqLvz0Xf7U8xmqpYRZ75jl06JD5Noopz8pNX9P+4YV2z3N5FoC0tDTS0tKaJU99Jd+uwb+dP5MnT7aqvWmMtsv7yAjR2sltAmFzAQEBKBQKiouLcVVb9xVT+wajrym/ru2pvAPoeFMoGRkZTJgwAYCMjAyWL18OGH9wT5gwgYyMDD5cuxp9TQUASs/GR+O6kSwmH65dzZo1a8yfMzIyyMjIYN++fQ3z1FZcMYut8rz7zjKio6NxdXW9Yp4P164GsHueD9euNm/fdLxeeeUVADZs2NBseTRF56n4MZWJjz/NhQsXOHv2LGfPnqWmpgaNRsPZs2cbdBQsLi4GICgoqMnbE8KRSTEgrBIcHIyHhwcnT55sMO/48eMWn9VqNREREWRlZdEl0OsKv9NZ0pbkovT0syqL0tMXhdoNza8dAF1DunHxfA6RkZHmH9axsbHmH+SdO3emqqqK2NhY7hzUD13pJQBcAsNuOEtjeRTAnYP6cfPNN5vbxMbGEhsby+9//3siIiLMefp0uQl0WlwCO11x/Teax6CtY8U/k8nJyTFfoWgsz52D+qErL7BrHtO+MW3fdLxMl+g7d+5s9zwmuvJCMOj5x6y/07VrV/N/+/bt48SJE3Tt2pW5c+daLJOVZXzqo0ePHk3enhCOTIoBYRWVSsWwYcPYvHkz2dm/DeV67NgxUlNTG7QfOHAgBw4cwMtNTXi9Ud50VaUN2laf3k9d7ik8usZalUWhVOHe9RaqT36HtjSPbgOGotPpePXVV81Zamtref/99xkwYADx8fEcOHAAAC83NV5l2YACdb3L6NebpbE84YGeeLmpzSeOy5n2DcCxI8bL224de9hk31yeR1OSS+WXC/h+33e88cYbfP/991fM4+Wmxq8ix655/Gt+wcvNeHey/ndn9erVeHh40LNnT7vnMXEJ7kzPh+eyadMmi/9iYmIIDw9n06ZNPP744xbLZGRkoFAoLJ5OEaItkBcVCasdOnSIAQMGEBISwnPPPYdWq2XJkiWEhoZy6NAh6n+VNm7cyNixYzl+/Dgf/qxhzb5z6PQGzq94EtfQCFxvikTp5kXdpdNUHNqOyjuA9g8vROX125CyBV8sovLIN3R85j3U7SwfX6zLyyJ39d9Qefpx+6iJXDq4nSNHjhAcHEx+fj633XYb33//Pd988w35+fnmLFFRUUT//g6yLxagrSyySZbL83S7uRdhPkrS09Oprq4GMPdUnzx5Ml9//bU5z5IlS1jz8UYCnniXnHdss2/q50GpwlBXTXR0NLm5ufj6+pKTk2O+hTFx4kSLYzVx2hx+2LWdDs+u4sK/n7L9/lEq6BzWic6dO3PgwAE8PDy4dMl4peaNN95g2rRpzZIHjOMMPDigM8kjYiym33HHHRQUFFgMR2wyfPhwSkpK2LVrV6PrFMLRWHv+lg6Ewmp9+vQhNTWVadOmMXv2bDp16sScOXO4ePEihw4dsmg7fPhwgoKC2LBhAxOe/Csf7D0LgGePwVSf2k911g8YNLWovP3x7juMdv/3Z4sf5gAGTTUKtVujQ826hnQl5P65FO9Yybfr36ZTx44kJCSQnp4OGIf8/eKLLxg8eDB1dXXmLJMnTybrp734DH0Gbeklm2S5PM+J79O4/JU6s2bNAownX9O++fjjj9m4cSMTJk7k/xlst2/q58n7JBn47VZOaanxt+sHH3yw0TznDuzAq9cfUCgUdsnjsns5Z86c4ezZs8YOpnV1AHz++eeMGDECoFnygHGcgYlx1r/OuLS0lG3btsnLikSbJFcGxA1LTk5mzpw5XP5VevXVV3n//fc5efIkj3xwgPQzhU16B33OWxPx7vUH/P/Q+NCvKqWC27oFWowvf60skyZNYsGCBdw+6yO+/6XS6jzXynI9ed5++21KS0s5c+YML36Z3aT9Y888d8/7lB+LFHY/Vo6Y52refPNN/vnPf3L69Gk8PDysXk6IliSvMBYtburUqVRUVLB+/XpeG90bdSNDEl9JXf45DNpafOPuvWIbtVLBa6OvPmLc5VlMb6X757j+VuexJsv15CksLGTo0KG0b9++SfvH3nnefHRIix4rR8yj0WhYuHAhM2fOlEJAtElym0DYjbe3N3l5eebPc0bEMOOzw1Yt6xrcmfBpn1y1zdwRMQ1eQWttlqbksSbL9eTRaDTmz2EBng6VpyWPlSPmcXFxseg4K0RbI1cGRLMZ3z+c6YlRNlnXC4nRjOtv/f1eydN6szhiHiHaGukzIJrd+v3ZJG05ilZvaNJ9YJVSgVqpYO6IGJv+MJc8rSOLI+YRwtFZe/6WYkC0iJyiKl7edJhdpwpQKa/eOcw0Pz4yiNdG927S5V3J07ayOGIeIRyZFAOiVTh5qZx1+7JJO5FHdmGVxUuNFEB4oCdDokKYGBdOZIiP5GnBPI6UxRHzCOGIpBgQrU5lrZazhZXUafW4qpV0CfQyj1bXUnm27snggYkP8eHa1dw5qJ/kccAsjphHCEchgw6JVsfLTU1Mh6aPMW8vXm5qurZzoe7iCbq2c2nxk4sj5XGkLI6YR4jWRp4mEEIIIZycFANCCCGEk5NiQAghhHByUgwIIYQQTk6KASGEEMLJSTEghBBCODkpBoQQQggnJ8WAEEII4eSkGBDiCiprtWSVaHBtH0VWiYbKWq3kccAsjprn6IVSfsgu5uiF0hbPI8S1yHDEQtRjHu/+eB7ZRY2Mdx/gyZDoECYMCKd7aDOOv+8AeRwpi+QRwjrybgIhmsDR3oTnSHkcKYvkEaJppBgQwkrr92eTtOUoWr3hqj/IL6dSKlArFcwZEcP4/uFtMo8jZZE8QjSdFANCWGFp2kkWbDtxw+uZnhjFpCHd21QeR8oieYS4Ptaev6UDoXAKFRUVhISEsG7dOvO09fuzbfLDHGDBthN8vD+7SXlcXFy45557HDJPS2ZxtDym705gYCDLli1r8TwajYawsDBzFiFsQd7zKZzC4sWL8fHxYfz48YDxPm/SlqMAVJ/9kdL0DdRdOgUGAy7+HfCNuxevHoObtI3ZW47SN9Sdj957m3379vH9999TXFzM+++/zyOPPNIgT2BgIDt27CA3NxeNq69d8niVnmPr5o9JS0vj7NmzBAYGEhcXx7x584iKimo0T8axMyRtOW6eZ4s8s7cc5baIIMouZpGcnExGRga5ubl4enrSs2dPXnjhBYYPH97seS6/Z5+SksLMmTOJiYnhyJEj5iw+Pj4899xzpKSkkDBqvF2OleJiJuNG3tXo/L179xIXFweAi4sL06ZNIyUlhcceewx3d/cmbUuIxshtAtHmaTQaOnbsyNSpU3nppZcAePC9faSfKaT0x20UfvkW7l1/h2fkAFAq0RSeR+UTiN+AMU3ajkqpoI9vLZtnjCE8PJxu3bqxc+fOBsWAKc/zzz/PkiVLePLJJ8nq/Ce75NGmLqDu/DHuu+8++vTpQ25uLkuXLqWiooLvvvuOXr16NcgTfOvdVPa5F53eQMWh7TbJo1IquK1bIH9uX8hbb73FwIED6dChA1VVVWzcuJFdu3axYsUKnnrqqWbNs+bxAeZpv/zyC9HR0SgUCrp06cKRI0csvjvPPvssoaGhxD7wAnkdbrP5sepWd5avF/yFKVOm0L9/f4v5d955J0FBQebPJSUlhIaGsnz5ch577LEmbUs4F2vP33JlQLR5X3zxBfn5+dx///2A8RGwXacK0JZcomjbO/j0u4eAhKdveDs6vYGDBQrSD59kYK9IDhw40OCHev0848aN4+LFi6x6/z+oJvweXWmezfPU9ribHZs/oWenQPP0cePG0bt3b+bPn8/atWst8hw7fY6PPt1Mx5jRNs2j0xvYdaqApOGD2br1bot5kyZNol+/fixcuJCnnnqqWfOcyisnMsT4mN/06dOJi4tDp9NRUFAAWH532rVrx6Db/0D615sJuqebzY/V4fOlAMTHxzN27Nirtm/Xrh2JiYl88MEHUgwIm5A+A6LV2r17N/3798fd3Z2IiAhWrFhBcnIyCoXCot3mzZvp0qULERERAKzbl41KqaD8x68wGHS0i58IgL6uGisulF1RTc5RLq17kfjYGCIiIvjss88AePTRR6+YJyEhgfO/ZKPLz7JLnpJv/k2fbh0s9k9UVBQxMTEcO3asQR7tTb3RleWhuXTG5nk05zO5fdDABsdLrVYTFhZGSUlJs+WpyTlK7n+mcnOnICIiIpg+fTobNmxgx44dFu0u/+64df4dtb9kUrb/c5vuGwCl8rfvbXl5OVrt1QcqSkhIYPfu3RQVFd3QdoUAuTIgWqnDhw+TmJhIcHAwycnJaLVakpKSCA0NbdA2PT2d2NhY8+e043no9AZqzv6IS0Anqs8coDhtFbryQpTu3vjE/gm/+AkoFNbXynV5Z8n7eDZKT1/C/vgQj97WmUWLFjXatn6efv36AVCVc9Tueervn0uXLhETE9MgT5YiBICa85k2z5P70Sxcvf1ITk6mqqqKWbNmERhovGLx1VdfMW7cuGbJc/m+eTgujFdffRV/f/8GJ9bLvzsXXTsABqrP7LfZvjHR//po4qOPPkpFRQUqlYr4+Hj+9a9/ceuttzZo369fPwwGA+np6RYdUYW4HlIMiFZp9uzZGAwGdu3aRXi48Tnte++9l969e1u002q1nD59mpEjRwJQUaslu6gKAE3xBRQKJQX/7038BtyLS0hXqk6kU5r+MQa9Dv87HrE6T8mutYCBmya8Dn4hTH1hGNHR0eZbE1fK4xcUCio1moIcu+epv3/Onz/P3LlzLfJU1Gq5pPOya57gP89n8tQH+dtfJ5Gfn09+fj4Ao0ePZunSpc2S5/J94+13Gnd3d0pLSy3aNfbdKVS2M84rK0Dp4maTfWOmcsEz+jb+OfUROrYPJTMzkwULFhAfH096ejq33HKLRfNu3boBkJmZKcWAuGFSDIhWR6fTkZqayqhRo8yFAECPHj0YNmwYX375pXlaUVERBoMBf39/AM4VVpqHiTXU1WAw6Gl3xyP4xRnv0XrdPIhLNRWUH/gvfgPvR+l27RHiDHodNVk/4NE9DrVfCAZg654MamtrzW0OHjxokae6upqDBw+SVaJB6e6NvrrM7nm6tnOhb9++HDx4kD59+tC7d2927txpzpO6JwMD2DWPyi+ErXsySEhIoG/fvixatIiTJ09SWFjIgQMHUCgUds1z+b7RVpeRNGsWTzzxBPv372fPnj1UVFRQU1NjsW/qHysAdBr0Os0N75v63Dv1wL1TDwYP/z9iOvgxYsQIxo4dS58+fXjppZfYunWrRXvTd9rUv0GIGyHFgGh18vPzqa6upnv3hgO1REdHWxQDJqb7uXVavXmaQu2KQVPT4DEwrx6DqTmTQd2lM7iH97pmHn1VGQZtLS7+HczTHpj4EHUXf3sO3XQ7wGTZsmUsW7YM1/ZRGKsTRbPmOXToEL///e8t8qzc9DXtH15o9zyXZwFIS0sjLS3N7nkuz1Ly7Roqqqp58803zW0yMjIA4z15UxbTsQp94B/GRkoV6HU3vG8aU/87GhkZyciRI/nss8/Q6XSoVCrzPNN3+vI+MkJcD+lAKNq0gIAAFAoFxcXFALiqf/vKq7wDjP/38rdYRuXVDgB9TcV1b/fDtatZs2aN+XNGRgYZGRns27cPhULBhAkTyMjI4MO1q9HXVqD09LVrnnffWUZ0dDSurq5XzPPh2tXG7dg5z4drV5u3P2HCBABeeeUVADZs2NBseTRF56n4MZXHnp3Mf//7X/PtgF69etG5c2c2b97c8Fj9ug2lm5dNs9RX/zsKEBYWRl1dHZWVlRbTTd/p+o8cCnG95MqAaHWCg4Px8PDg5MmTDeYdP37c4rNarSYiIoKsrCwAugR6ocD4y6brTZFoiy+grSjEpd1N5mV05YUAKD39rMqj9PRFoXZDU3wBML6h7s5B/Th2+Lff4up3QouIiKCqqorY2Fh8zpwDnRaXwE7oq8vtksegrWPFP+eTk5NDv3792Lt3b6N57hzUj+c/W2fXPKZ94+Vm/NFjOqEFBwcD0LlzZ7vmqZ9FV14IBj2rli5k1dKF5jamwYZGjRqFn5+f+VhF12rRvf8tAC5BYdTmHL3hfXM5BcbvaH1nzpzB3d0db29vi+mm73SPHj2ua1tC1CdXBkSro1KpGDZsGJs3byY7+7dhXI8dO0ZqamqD9gMHDuTAgQMAeLmpCf911DmvHvEAVPy0zdzWYNBTcfhrlO4+uN0UaVUehVKFe9dbqD75HdrSPMIDPfFyU5t/WF8tz7EjPwHg1rGHXfJoSnKp/HIB3+/7jjfeeIPvv//+inm83NT4VeTYNY9/zS/mQqD+8Vq9ejUeHh707NnTrnnqZ1G4e9Hz4bls2rSJt956C6XS+OMwJiaG8PBwNm3aRHx8vMV3x6ssG1Dg3TfRJvumPl1Vqfm7Y/LTTz+xZcsWEhMTzflMMjIyUCgUDBw4sMnbEuJycmVAtEpz5sxh69atxMfH89xzz6HValmyZAkxMTEcOnTIou3IkSNZs2YNJ06cICoqiiHRIazZdw6P7nG4d+5L2d5P0FeX4RrSlaoT31H7SyYBd05CoXYxr6Pgi0VUHvmGjs+8h7pdw8cX28VPIDfrIJfW/R2vm3vxx60ppKenm+fPmzcPgMmTJ1vk2b59O37B7fFoH4kuNMLmeS6umoyhrpro6GhmzJhBhw4dyMnJYe3atQBMnDjRIo9nwTHUvsG4hkaAHfIcXvZXIv/7Lzp37syBAwcICgri0qVLHDx4kDfeeANvb2+75zFlKdg4j5hREzl69ChLliyhV69eHDp0yHzZfdSoUeh0OsaOHWv+7qguHsa9U0+8Yv5A5eEdNtk35nafv45HkB8ptemEhISQmZnJv//9bzw9PZk/f36D9tu3b2fQoEHmxzOFuBEyHLFotb799lumTZvG4cOH6dSpEy+++CIXL15kzpw5FgPA1NXV0bFjR/76178yc+ZMTl4qJ+FN4+VefV01Jd+uoerYLnQ15bgEdMI37l68Y4ZYbCt/02tUn86g06T//Naj/DI12Uco3rGSutxTV8yclZVFhw4d6NixI1OmTGH58uWMHj+R/+d2u13y5H2SjEFTc8U8BoPBvH+mTJnC0reXURtxO+0GP2iXPC67l3M+JxulUonBYMDV1ZWamho+//xzRowYAdAseUzHylCUTdhl353bb7+dgoICjhw5YvHdmTx5MsEhIfgMfQafvok23TcAZQe2EFaYwS/nsigrKyM4OJihQ4eSlJREZKTllYbS0lJCQkJYtmwZjz/++BXXKYS8wlg4peTk5AbFAMCrr77K+++/z8mTJ1GpVOZ3E1j7Dvqctybi3esP+P/hykO/Njbe/dXyvP3225SWlnLmzBle/DLbYfLcPe9TfixSWJ3FmjyNZXG0PNf67kyaNIkFCxZw+6yP+P6XSrsfq6t58803+ec//8np06fx8PCwahnhnOQVxkLUM3XqVCoqKli/fj0Ar43ujVpp3SNZdfnnMGhr8Y2796rt1EoFr43ufdU29fMUFhYydOhQ2rdv71B53nx0iNVZrM3TlCyOlsf03TG90fCf4/q36LHSaDQsXLiQmTNnSiEgbEb6DAin4O3tTV5envlzWIAnc0bEMOOzw9dc1jW4M+HTPrlmu7kjYhq8EvdqeTQajcPmsTaLtXmaksXR8lz+3WlKHnscKxcXF4uOs0LYglwZEE5rfP9wpidG2WRdLyRGM65/+LUbtpI8jpRF8ghhf9JnQDi99fuzSdpyFK3e0KT70iqlArVSwdwRMTb9Ye5IeRwpi+QRoumkA6EQTZBTVMXLmw6z61QBKuXVO6uZ5sdHBvHa6N5NuvzdGvM4UhbJI0TTSDEgxHU4eamcdfuySTuRR3ZhFfX/cSiA8EBPhkSFMDEunMgQH6fK40hZJI8Q1pFiQIgbVFmr5WxhJXVaPa5qJV0CvSxGh2uJPFv3ZPDAxIf4cO1qi2F9nTmL5BHiyqw9f8u3U4gr8HJTE9Ph+saYtwcvNzVd27lQd/EEXdu5tOjJxZGySB4hbpw8TSCEEEI4OSkGhBBCCCcnxYAQQgjh5KQYEEIIIZycFANCCCGEk5NiQAghhHByUgwIIYQQTk6KASGEEMLJSTEgRCtRWaslq0SDa/sosko0VNZqJYvksTrP0Qul/JBdzNELpS2eRzgeGY5YCAdmHu/+eB7ZRY2Mdx/gyZDoECYMCKd7aDO9m8ABskie1pdHtAx5N4EQrZgjvQnPkbJIntaXR7QsKQaEaKXW788mactRtHrDVX+QX06lVKBWKpgzIobx/cPbXBbJ0/ryiJYnxYAQrdDStJMs2HbihtczPTGKSUO6t5kskqf15RGOwdrzt3QgFKIFVFRUEBISwrp168zT1u/PtskPc4AF207w8f7sJuVxcXHhnnvuafEsjpbHdKwCAwNZtmxZi+cpLi5GpVLxyCOPmKe1ZB6NRkNYWJh534jWSd6rKUQLWLx4MT4+PowfPx4w3ud9bOw9VGcfbnwBpYrOL37epG3M3nIUr9JzbN38MWlpaZw9e5bAwEDi4uKYN28eUVFRFnkCAwPZsWMHGcfOkLTlOLnrZlCbc8QmeWZvOcptEUGUXcwiOTmZjIwMcnNz8fT0pGfPnrzwwgsMHz682fNcfo88JSWFmTNnEhMTw5EjR8xZfHx8eO6550hJSSFh1Hi7HCvFxUzGjbyr0fl79+4lLi4OgGXLluHv78+2bduoqakhv0pvlzym/XPw4EGSk5PZvXs3NTU1dOvWjaeeeoopU6YA4OLiwrRp00hJSeGxxx7D3d29SdsSjkFuEwjRzDQaDR07dmTq1Km89NJLADz43j6+/uZrNOXFFm0NmhqKUt/GI+JWQu5LbtJ2VEoF2tQF1J0/xn333UefPn3Izc1l6dKlVFRU8N1339GrVy9znueff54lS5YQfOvdVPa5l4rTB9FVltgkj0qp4LZugfy5fSFvvfUWAwcOpEOHDlRVVbFx40Z27drFihUreOqpp5o1z5rHB5in/fLLL0RHR6NQKOjSpQtHjhyxOFbPPvssoaGhxD7wAmdrPWx+rLrVneXrBX9hypQp9O/f32L+nXfeSVBQkDnPM888w+uvv87y5ctJM8TY5btzW7dAHgwrZfjw4dxyyy2MGzcOb29vTp8+jV6v55///Ke5fUlJCaGhoSxfvpzHHnusSdsS9mXt+VuuDAjRzL744gvy8/O5//77AeMjYLtOFeDW+Xe4Xda24kgaAF4972jydnR6A7U97mbH5k/o2SnQPH3cuHH07t2b+fPns3btWnOecePGcez0OT76dDMdY0bj0fWWBuu83jw6vYFdpwpIGj6YrVvvtpg3adIk+vXrx8KFC3nqqaeaNc+pvHIiQ4yP1U2fPp24uDh0Oh0FBQWA5bFq164dg27/A+lfb+amia/b/FgdPl8KQHx8PGPHjm20nSnPww8/zA8//MDyd98j/46X7fLd+d/RbLa+NIk//elPfPrppyiVV76r3K5dOxITE/nggw+kGGilpM+AEDaye/du+vfvj7u7OxEREaxYsYLk5GQUCoVFu82bN9OlSxciIiIAWLcvG5VS0dgqqczcicLFHY/ucU3OU5NzlJJv/k2fbh0s8kRFRRETE8OxY8ca5NHe1BtdWR6aS2dsnkdzPpPbBw1ssH/UajVhYWGUlJQ0W56anKPk/mcqN3cKIiIigunTp7NhwwZ27Nhh0e7yY+XW+XfU/pKJrrrcZllMeYpS3waMxdHixYuZPXv2Vb87CQkJHNi3F2orGl3njeQBqD72Pwry80hJSUGpVFJZWYler79i+4SEBHbv3k1RUdF1bU+0LLkyIIQNHD58mMTERIKDg0lOTkar1ZKUlERoaGiDtunp6cTGxpo/px3Pa/QxMF1VKTVnf8SrRzxK16bdh63LO0vex7NRevoS9seHePS2zhZ5Ll26RExMTIM8WYoQAGrOZ+J6U4RN8+R+NAtXbz+Sk5Opqqpi1qxZBAYar1h89dVXjBs3rlnyXL5vHo4L49VXX8Xf37/BiezyY3XRtQNgoPb8MTwjf3/DWernUbh6AMYOgs8//7x5/oEDB7j11lsb5OnXrx8YDFTlZFpkudE8JlVZP6By9+L8+fOMGjWKEydO4OXlxYMPPsiiRYsa9A3o168fBoOB9PR0c8dP0XrIlQEhbGD27NkYDAZ27drFjBkzmDlzJmlpaRw9etSinVar5fTp03Tt2hWAilot2UVVja6z8ti3oNdd12Xekl1rAQM3TXgd+o5i6gszLPKcP3+ecePGWeSpqNVySecFKjWaghy75An+83wmT51OXl4e+fn5/PzzzwCMHj2apUuXNkuey/eNt1873N3dKS0ttWjX2LEqVLYDQFNg2dveFvsmYNhzeEbfxptvLWXp0qXmy/Lx8fH88MMPDfKEdgxvNMuN5jHRFF1Ar9MycuRIhg0bxsaNG3nsscd45513ePTRRxu079atGwCZmZnXvU3RcqQYEOIG6XQ6UlNTGTVqFOHhvw3Y0qNHD4YNG2bRtqioCIPBgL+/PwDnCiu5Ug/eqsz/ofT0w72Re+VXY9DrqMn6AY/ucaj9QjAAW/dkUF1dTd++fQHo06cPvXv3ZufOnRgMBqqrq0ndk4EBULp7o68us0selV8IW/dkkJCQwLJly+je3fg8e2FhIQcOHLB7nsv3jba6jKRZs3jiiSfMvfUrKiqoqamxyHLw4EFS92SgdPcGaJDHFvvGK/o2gke/TEj3PgwcOJCBAwca2xgM/OUvf2mQZ//PWY1muZE8Ftk0NRg0tdxz73jeeustxowZw1tvvcXTTz/N+vXrOXnypEV703fa1N9CtC5ym0CIG5Sfn091dbX5xFZfdHQ0X375ZYPppod46rSN34PVlORSe/5nfGLvQaFUNSmPvqoMg7YWF/8O5mkPTHyIuou/PYd+6NAhfv/73y4tL1u2jJWbvqb9wwsxVieW96ptmefyLABpaWmkpaXZPc/lWUq+XUNFVTVvvvmmuU1GRgZgvAduyrJs2TJc20cR+sA/fm31Wx57H6va2lr27t3bII/LTZENstxonvoUalcAEoaPsZj+wAMPsGLFCvbu3WvxnTd9py/v5yBaB7kyIEQzCggIQKFQUFxsfAzMVd34P8HKozsB8Iq5wybbffedZURHR+PqavwBn5GRQUZGBvv27UOhUDBhwgQ+XLsaAH1tBUpPy0eQbJnnw7WrzdufMGECAK+88goAGzZsaLY8mqLzVPyYymPPTua///0vI0eOBKBXr1507tyZzZs3m7NkZGTw4drV6GuMnfXq57H1sTLtH9O+eeihhwD45ptvLPK8vXhRgyy2zKPyNvbnuOmyfi8hIcZ+HKbvsInpc1BQ0A1tV7QMuTIgxA0KDg7Gw8OjwWVTgOPHj1t8VqvVREREkJVlvMTbJdALBTS4VVCV+T/U7drj1vHmJudRevqiULuhKb4AgEFbx4p/zicnJ4d+/fqxd+9ei05xERERVFVVceegfjz/2TrQaXEJ7GSXPArgzkH98HIz/ugxnUCCg4MB6Ny5s13z1M+iKy8Eg55VSxeyaulCcxvTYEOjRo3Cz8+PqqoqYmNjia7Vonv/WwBcAsNuOMvleQCL/WPaN5WVlbi7u3PHHXeY901sbCxFpeUNstxonvpcb4qg5uwPKKosT/oXLhizmo6Ziek73aNHjxvarmgZcmVAiBukUqkYNmwYmzdvJjv7t85cx44dIzU1tUH7gQMHcuDAAQC83NSEXzYKXl3uaTSFOXj1vP268iiUKty73kL1ye/QlORS+eUCvt/3HW+88Qbff//9FfN4uanxqzB21HPr+NsPdFvm8a/5xVwI1N8/q1evxsPDg549e9o1T/0sCncvej48l02bNvHWW2+ZO+zFxMQQHh7Opk2biI+PtzhWXmXZgMJ8orXlvqm9dJrwQE+83NQW+2bLli0kJiaiVCotvjuZh38ChcLipH+jeerzujkegA/XfGAxfeXKlajVau644w6L6RkZGSgUCnNfB9G6SDEghA3MmTMHMPb8fv3110lJSWHIkCHmx/fqGzlyJDk5OZw4YbwvPCQ6xGKcgcrMncDVL/MWfLGIc/PvQVtyqdH57eKNl5gvrppMYWY6ERERzJgxgw4djPem165dy9q1axvk8Sw4hto3GNfQ3x7js2Wew8v+SmRkJEOHDiUuLs58SfngwYPMmzcPb29vu+cxZSnYOI/2hmKOHj1KSkoKvXr1AoyXuX18fBg1ahSPPPKIxbFSXTyMe6eeqDx8bb5vcldP5+ibj5GQkEBcXJy5Q56npyfz588HLI/V9u3bCe9xC65efjbbN/V5dIjkd38czYcffsi4ceNYtmwZ999/Px999BEvvPCC+btksn37dgYNGmR+XFS0LlIMCGEDffr0ITU1leDgYGbPns2qVauYM2cOo0ePbtB2+PDhBAUFsWHDBgAmDAg3jzNgMOipPPYtrqERDS6N12fQVKNQu6F092p0vmtIV0Lunwu/duo6fvw4paWl5OQYf9N+8MEHefDBBy3yfPzxx5w7sAOvXn8wdwKzdZ6bbrqJM2fO8L///Y+Kigrz43yff/4506ZNa5Y8pixKTz++Xf+21ceqtLSUrJ/24tl7qF32jcrTj6IL59ixY4f5iQYwjjNguvRuyrN69Wq2bdvG0088ZvPvjolOb+DDD1aSnJzMvn37eP755/nhhx9YtGgRr732mkXb0tJStm3bZvHyJNG6SDEghI0MHjyYAwcOUFtby+nTp3n66acbbefq6sqUKVNYtWoVOp2O7qE+xEcGoVIqUCiUdPrLf2j/6OKrbqsmJxOf2D+ZH3VrjFeX3kxYbnwczfRfUlISgPlz/Txvv/02ZaUlDB3zoPlKha3yqJQKEv5wBznnzqLX69Fqteh0Ov7+978DMGLEiAb7x555vLr05v55a6lr5Fjt3LnT3G+g/rF67733CAoMJHH4GLscqz8v+gK9Xo9Op0On0/G3v/0NgMjISHM7U57ly5cTEBDA1Gces8t3R6VUEB8ZRI+OASQlJXH27Fnq6uo4efKkxYBIJu+//z6BgYE88MADV922cFxSDAjRAqZOnUpFRQXr168H4LXRvVFfYUjiy9Xln8OgrcU37t6rtlMrFbw2urfVeQoLCxk6dChvPjrE6izW5mlKFkfLYzpWpjca/nNc/xY9VpMmTaKkpIRhw4bh4eHR4t8djUbDwoULmTlzJh4eHlYtIxyPPE0gRAvw9vYmLy/P/DkswJM5I2KY8dkVXkNbj2twZ8KnfXLNdnNHxDR4Re/V8mg0GvNna7NYm6cpWRwtz+XHqil57HGs/P390el05s8t/d1xcXGx6DgrWie5MiCEgxjfP5zpiVE2WdcLidGM6x9+7YatIIvkaX15ROujMJhuHF6Fte9DFkLcuPX7s0nachSt3tDoC4yuRKVUoFYqmDsixmY/zB0pi+RpfXlEy7P2/C3FgBAOKKeoipc3HWbXqQJUSsVVf7Cb5sdHBvHa6N5Nuhzf2rJIntaXR7QsKQaEaANOXipn3b5s0k7kkV1YZTFSoQIID/RkSFQIE+PCiQzxcZoskqf15REtQ4oBIdqYylotZwsrqdPqcVUr6RLoZR7NryWybN2TwQMTH+LDtasthhiWPI6Zx1G+O6J5WXv+lm+DEK2El5uamA5+127YDLzc1HRt50LdxRN0befS4icWyXPtPI7y3RGOSZ4mEEIIIZycFANCCCGEk5NiQAghhHByUgwIIYQQTk6KASGEEMLJSTEghBBCODkpBoQQQggnJ8WAEEII4eSkGBBCNFllrZasEg2u7aPIKtFQWauVPA6cR4hrkeGIhRBWMY91fzyP7KJGxroP8GRIdAgTBoTTPbQZx96XPEJckbybQAhhE472FjzJI4T1pBgQQtyw9fuzSdpyFK3ecNWT3OVUSgVqpYI5I2IY3z9c8jRTHiEuZ+35W/oMCCGoqKggJCSEdevWmactTTvJjM8OU6vVN+lEB6DTG6jV6pnx2WGWpp28rjwuLi7cc889LZ7HtG8CAwNZtmxZi+fRaDSEhYVZZBHiRkkxIIRg8eLF+Pj4MH78eMD4G++CbSeozT1F3idzyFkykew3xnLhvUmUHdiCQa+zet0Ltp3g4/3ZABw9epT77ruPbt264enpSVBQEIMHD+a///1vgzyBgYHs2LGD3Nxcu+W5XEpKCgqFgl69ejXYNy+//DIpKSnU1NSwfn82Kau/vOEs9fPs3LkThULR6H/fffedub2LiwvTpk0zZxHCFuQ2gRBOTqPR0LFjR6ZOncpLL71ETlEVf1z0P8p+OUHumum4+HfAu08iChc3qs9kUH3yO3z6DScg4Wmrt+GmVvL11Ns5/N1O3nrrLQYOHEiHDh2oqqpi48aN7Nq1ixUrVvDUU0+Z8zz//PMsWbKEcRMf4Sv3wXbJU/+e/S+//EJ0dDQKhYIuXbpw5MgRi33z7LPPEhoaSsqCN1nyk4bsD/5mkyymPK/2VzBu5F1MmTKF/v37W8y/8847CQoKMn8uKSkhNDSU5cuX89hjjzVpW8K5SJ8BIYRVNm3axJgxYzh16hQRERE8+N4+0s8Ukvf/3qLiyDd0mrQGlcdvvd9z182gLu8M4VM3WL0NlVLBbd0CWfP4gAbzdDod/fr1o6amhp9//tkiz5tvvsn7H31KyFMryf9yiV3zjB8/nvz8fHQ6HQUFBRw5cqTBvhk+fDjfH/+Faq9Qyg/bJospT7e6s3y94C988sknjB079prLDB8+nNLSUr799tsmbUs4F+kzIIST2717N/3798fd3Z2IiAhWrFhBcnIyCoXCot3mzZvp0qULERERnLxUzq5TBej0BvR1VSjUrijdvSzaq7z9Uahdm5RFpzewPe1/9LkltkEetVpNWFgYJSUlDfLE9P8/Kgtzqbl42qZ5Ks8dYcPMB3H7Ncv06dPZsGEDO3bsuOK+AfhdXDx5J39CW1Vmsyxg3D+Hz5eaP5eXl6PVXn1sgoSEBHbv3k1RUVGTtyfE5dQtHUAIYXuHDx8mMTGR4OBgkpOT0Wq1JCUlERoa2qBteno6sbGxAKzbl21+/M09vDdVx3ZRtHUpvv1H/3op/ABVx/fiP+TRJuWpyztL3sezqfEPIDk5maqqKmbNmkVgYCAAX331FePGjWuQ54QuGICa85k2y2PKovL05fb7n2VwpD+vvvoq/v7+DU6s9bMAnFe3BwyovPwx1FbZZN+YKJXGIu3RRx+loqIClUpFfHw8//rXv7j11lsbtO/Xrx8Gg4H09HSLjpZCXA8pBoRog2bPno3BYGDXrl2EhxsfXbv33nvp3bu3RTutVsvp06cZOXIkAGnH88w94737DkOTn035j1up+GmbcQGFkoDEZ/C55e4m5SnZtRYwEP3kQmbMGM8zzzxDfn4++fn5AIwePZqlS5c2yJNRoACVGk1BDgEJT9skjylL6ITX0XTrQqBHJu7u7pSWllq0uzwLQGaFBwAq3yB8Yu+xyb4x0SvUBPUezOvPP0xQUBCZmZksWLCA+Ph40tPTueWWWyzad+vWzZgpM1OKAXHDpBgQoo3R6XSkpqYyatQocyEA0KNHD4YNG8aXX35pnlZUVITBYMDf35+KWi3ZRVXmeQqlCrV/ezy63oLnzf+HQu1KZeb/KNq+ApWXP55RA63KY9DrqMn6AY/uceTpfais1fL8888zduxYpk+fzk8//YROp6Ourq7RPEp3b/TVZTbJUz+L2i+ErF9ymb1mNsnJyezYseOK+wagolbLxRqVcT01FTbZN/W5d+qBolMPxk0YhpebmhEjRjB27Fj69OnDSy+9xNatWy3am3IVFBQ0eVtCXE76DAjRxuTn51NdXU337t0bzIuOjm50GYPBwLnCSoshdEv3fkLZd58SNPJFvHsPxatHPCH3zsStU0+Kti23+hE6fVUZBm0tLv4dMABb92RQVVVFQECA+RG+CxcuMHToUH766ScAzp8/T+qeDGMeA4DCJnnqZwEo/nYNrh6e/N///d9vJ/2KCmpqajh06JA5y8GDB415fu1vXXvhhE32zeUMwNnCSvPnyMhIRo4cSVpaGjqd5TpNWS7vAyLE9ZArA0I4sYCAABQKBcXFxdRp9Rbzyn/4ErfOfVC6elhM94wcQPGOlWhLL5lPqk3xwMSHqLt4wmLavn37AEhMTARg+fLlvLf5G9o/vBB9bQVKT1+b59EUnafix1SqfQKJi4szT8/IyACMHfRMWZYvX45r+yiCx7wCQF1eFh4Rt9p83wANjkNYWBh1dXVUVlZa9AYvLi4GsHjkUIjrJVcGhGhjgoOD8fDw4OTJhiPbHT9+3OKzWq0mIiKCrKwsXNWWPw50lcVgsDwxARj0v/Zyt/K3X6WnLwq1G5riCwB8uHY1GRkZZGRkMGjQIAD+9re/AfCf//yHsLAwhgwZwodrV6MtLwCdFpfATjbJUz+LrrwQDHp0ZflXbO/t7c2QIUPIyMgw5im9ZNympsYm+6Yxlx+HM2fO4O7ujre3t8X0rKwswHj7R4gbJcWAEG2MSqVi2LBhbN68mezs30baO3bsGKmpqQ3aDxw4kAMHDtAl0Iv6F5xdAjpSk/Ujuuoy8zSDXkfVz7tRuHqgbtfeqjwKpQr3rrdQffI76nJPceegfsTGxuLh4WEeWS8tLQ0PDw/GjBnDHXfcwalTxnaa3NMAuHXsYZM89bMo3L0IHvMKH234lLfeegul0vjjMCYmhvDwcDZt2mTOEhsb+2ueU4ACtX8Hm+yb+nRVpSiALoG/Pa74008/sWXLFhITE835TDIyMlAoFAwc2PT+CUJcTooBIdqgOXPmABAfH8/rr79OSkoKQ4YMISYmpkHbkSNHkpOTw/lzZwivNyKfb9xY9DXl5P7nb5R+9yllB/7LpXV/py73FH5xY1GofrvLWPDFIs7NvwdtyaVG87SLnwDApXV/p2/MzQwdOpS4uDjzJe6DBw8yb948vL29LfKoLx5G5RuMa2iEzfKYsuRvnId3TR6nT/xMSkqKuf9CUFAQPj4+jBo1ikceeYScnBxOnDiBl5sazh/CrVMP/G6732b7xiR/8+uUbX6VNxe8zrvvvsvUqVO57bbb8PT0ZP78+Q3ab9++nUGDBpkfzxTiRkifASHaoD59+pCamsq0adOYPXs2nTp1Ys6cOVy8eNHcMc5k+PDhBAUFsWHDBob0Gc2afefQ6Q14xwxB5eFr7Li37zP0dVW4BHQiYNhf8LnlLot1GDTVKNRuDQbhMXEN6cpN41+levtbnDlzhrNnz2IwGKirqwPg888/Z8SIERZ5Pv74Y8qO7cGn91AUCoXN8riGdCXk/rkU71hJ9rYPWPVzmFX7ZvLkyZSezMA/8Vm8bLhvTLyjB+J+Np2FCxdSVlZGcHAwY8aMISkpicjISIu2paWlbNu2TV5WJGxGigEh2qjBgwdz4MABi2nJyckN2rm6ujJlyhRWrVrFl7sn8cHes+Z5Ht364dGt3zW3VZOTiU/sn1C6e1+xjWunGL49dIzIkN+G701OTmbOnDnmQqB+nrfffhtNdTl+9Z7bt1Ue9/BetH/kTb6eOticx7Rvdu7c2SDLqlWr8PT0JDAwELcet9s0i4l3v+F8vfZfFvvnSt5//30CAwN54IEHrtlWCGvIbQIhBFOnTqWiooKMtP9HfGQQKqX1j6vV5Z/DoK3FN+7eK7ZRKRXERwZZdaIz5SksLOSPQ4cy5HdRLZrHtG9SUlJImj2L23t0tDqPNVmamkej0bBw4UJmzpyJh4fHNdsLYQ25MiCEwNvbm7y8PAAG//rWQtNIhNfiGtyZ8GmfXLWNWqngtdG9r9rm8jwajQbA/BbFlspTf98ADG9CHmuyNDWPi4uLRcdQIWxBrgwIISyEBXgyZ0TDjoY3Yu6IGIvXBUse2+URwhbkFcZCiEYtTTvJgm0nrt3wGl5IjOYvQyKv3VDyCGFz1p6/5TaBEKJRk4Z0J8jbjaQtR9HqDVZfpgfjPXC1UsHcETGM6x9+7QUkjxAtSq4MCCGuKqeoipc3HWbXqQLz642vxDQ/PjKI10b3tsulb8kjhPWsPX9LMSCEsMrJS+Ws25dN2ok8sgurLF5qpADCAz0ZEhXCxLhwq58akDxC2JcUA0IIu6ms1XK2sJI6rR5XtZIugV7GEfpaMM/WPRk8MPEhPly7mjsH9WvxPI60f4Tzkj4DQgi78XJTE9PBr6VjmHm5qenazoW6iyfo2s6lxU+8jrZ/hLgWebRQCCGEcHJSDAghhBBOTooBIYQQwslJMSCEEEI4OSkGhBBCCCcnxYAQQgjh5KQYEEIIIZycFANCiFavslZLVokG1/ZRZJVoqKzVtnQkIVoVGYFQCNEqmYf/PZ5HdlEjw/8GeDIkOoQJA8LpHirD/wrnJMMRCyHaJHkxkBDWs/b8LbcJhBCtxvr92fxx0f9IP1MIcM3XBpvmp58p5I+L/sf6/dl2zyhEayTvJhBCtApL006yYNuJ61pWpzeg0xuY8dlhCipqmTSku43TCdG6yZUBIYTDqaioICQkhHXr1gHGKwLXWwhcbsG2E3zcxCsEGo2GsLAwli1bZpMMQjgaKQaEEA5n8eLF+Pj4MH78eHKKqkjachSA6qwfyF37ItkL7iVn0TjyN72GtuRSk9c/e8tRcoqqGkxPSUlBoVDQq1cvi+kuLi5MmzaNlJQUampqru8vJYQDk2JACOFQNBoNixcv5oknnkClUvHypsNo9QaqTn1P3oYkDFoN7e54GJ/fj6Ym+wi5615EV1XapG1o9QZe3nTYYtovv/zCa6+9hpeXV6PLPProoxQUFPDhhx9e999NCEclxYAQwqF88cUX5Ofnc//993PyUjm7ThWg0xso2fkB6nah3PTgP/G9dQTtBo0ndPw8dBXFlO79pEnb0OkN7DpVwKm8cvO06dOnExcXx6233troMu3atSMxMZEPPvjgRv56QjgkKQaEEM1i9+7d9O/fH3d3dyIiIlixYgXJyckoFAqLdps3b6ZLly5ERESwbl+28fHA6nI0Bdl4Rg1EoXIxt3UN7YZLYCeqjn3b5DwqpYK13xn7Dnz77bd8+umnvPnmm1ddJiEhgd27d1NUVNTk7QnhyORpAiGE3R0+fJjExESCg4NJTk5Gq9WSlJREaGhog7bp6enExsYCkHY8D53egEGnAUChdmvQXuHihq4gG11FMSpvf6sz6fQG0k7kMUt3M5MnT+aJJ56gd+/eV12mX79+GAwG0tPTueeee6zelhCOTooBIYTdzZ49G4PBwK5duwgPDwfg3nvvbXDy1Wq1nD59mpEjR1JRqyX7105+Kq92KN28qP0l06K9rroMTUGOcdmKwiYVAwDZhVUsXvo2586d4+uvv75m+27dugGQmZkpxYBoU+Q2gRDCrnQ6HampqYwaNcpcCAD06NGDYcOGWbQtKirCYDDg7+/PucJK8xDDCoUS71vuoubcTxTv/ABN0Xlqc09RsHk+Bp3xPQQGTW2Ts2mry5ibnMysWbMIDg6+Znt/f2OxUVBQ0ORtCeHIpBgQQthVfn4+1dXVdO/ecKCf6OjoRpcxGAzUafUW09rFT8C7TyJl+z7jwr+fJveD50GpwrtvAgBKV48mZyv5dg2+7fyZPHmyVe1No7df3s9BiNZObhMIIRxGQEAACoWC4uJiXNWWv6soVC4E3j2Fdrc/iKboPCovf1wCOpK/5V+gUKL2b9+kbWmKzlPxYyqT5/6DCxcumKfX1NSg0Wg4e/Ysvr6+BAQEmOcVFxcDEBQUdAN/SyEcjxQDQgi7Cg4OxsPDg5MnTzaYd/z4cYvParWaiIgIsrKy6BLohQK4/O0DKi9/VF7Gy/UGvY7a7MO4dYhq8pUBXXkhGPT8Y9bf+cesvzeY37VrV/76179aPGGQlZUFGG9xCNGWSDEghLArlUrFsGHD2Lx5M9nZ2eZ+A8eOHSM1NbVB+4EDB7Jz50683NSEB3hyrpGRAk3Kvt+ErqII/z8+3eRcLsGd6fnwXFJGWXZinDlzJuXl5SxevJiIiAiLeRkZGSgUCgYOHNjk7QnhyOQVxkIIuzt06BADBgwgJCSE5557Dq1Wy5IlSwgNDeXQoUPU/zG0ceNGxo4dy/Hjx/nwZw1r9p1DpzdQcSSNquN7cA/rhcLVnZqzP1H18y68+yYSeNcUi+0VfLGIyiPf0PGZ91C3a/j4IhjHGXhwQGeSR8RYTL/jjjsoKCjgyJEjDZYZPnw4JSUl7Nq1ywZ7RQj7k1cYCyEcRp8+fUhNTSU4OJjZs2ezatUq5syZw+jRoxu0HT58OEFBQWzYsIEJA8LNryF2CeiAvqaC0vT1FH/9bzRFvxAw7C8E3Nmw859BU41C7YbSvfGhhcE4zsDEuPArzr9caWkp27Zt45FHHrF6GSFaC7lNIIRoFoMHD+bAgQMW05KTkxu0c3V1ZcqUKaxatYqXXnqJ+Mgg0s8U4tYhmpsmzLdqWzU5mfjE/gmlu3ej81VKBbd1CyQyxKfBvJ07dza6zPvvv09gYCAPPPCAVRmEaE3kyoAQwuFMnTqViooK1q9fz2uje6NWWv8oX13+OQzaWnzj7r1iG7VSwWujrz7aYH0ajYaFCxcyc+ZMPDya/gijEI5OrgwIIRyOt7c3eXl55s9zRsQw47PDV1niN67BnQmfdvUXF80dEUNYgKfVeVxcXMjOzra6vRCtjVwZEEI4vPH9w5meGGWTdb2QGM24/tb3FRDCGcjTBEKIVmP9/mySthxFqzeYOxZaQ6VUoFYqmDsiRgoB4VTkaQIhRJszvn84X0+9ndu6BQLGk/zVmObf1i2Qr6feLoWAEFcgfQaEEK1KWIAnax4fwMlL5azbl03aiTyyC6ssRipUAOGBngyJCmFiXHijTw0IIX4jtwmEEK1eZa2Ws4WV1Gn1uKqVdAn0wstNftcRwtrzt/xrEUK0el5uamI6+LV0DCFaLekzIIQQQjg5KQaEEEIIJyfFgBBCCOHkpBgQQgghnJwUA0IIIYSTk2JACCGEcHJSDAghhBBOTooBIYQQwslJMSCEEEI4OSkGhBBCCCcnxYAQQgjh5KQYEEIIIZycVS8qMr3YsKyszK5hhBBCCGE7pvP2tV5QbFUxUF5eDkBYWNgNxhJCCCFEcysvL8fP78pv9lQYrlUuAHq9ngsXLuDj44NCobBpQCGEEELYh8FgoLy8nA4dOqBUXrlngFXFgBBCCCHaLulAKIQQQjg5KQaEEEIIJyfFgBBCCOHkpBgQQgghnJwUA0IIIYSTk2JACCGEcHJSDAghhBBO7v8DS+b1xXC1ktkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "naive = NaiveQubitPlacer()\n",
    "\n",
    "placed_c, placement = naive.place_circuit(\n",
    "    circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs\n",
    ")\n",
    "cirq.draw_placements(rainbow_graph, circuit_graph, [placement])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "american-shelter"
   },
   "source": [
    "## HardcodedQubitPlacer\n",
    "\n",
    "If you want ultimate control over qubit placement but still want to decouple your `cg.QuantumExecutable`s from a particular device or configuration, you can use the `HardcodedQubitPlacer` to place your circuits at runtime but from a pre-specified list of valid placements.\n",
    "\n",
    "Here, we introduce a helper function to generate placements for all `TiltedSquareLattice` topologies anchored from qubit `(4, 2)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:59.099415Z",
     "iopub.status.busy": "2025-05-30T10:12:59.098931Z",
     "iopub.status.idle": "2025-05-30T10:12:59.104069Z",
     "shell.execute_reply": "2025-05-30T10:12:59.103341Z"
    },
    "id": "cardiovascular-review"
   },
   "outputs": [],
   "source": [
    "import itertools\n",
    "\n",
    "\n",
    "def all_offset_placements(device_graph, offset=(4, 2), min_sidelength=2, max_sidelength=5):\n",
    "    # Generate candidate tilted square lattice topologies\n",
    "    sidelens = list(itertools.product(range(min_sidelength, max_sidelength + 1), repeat=2))\n",
    "    topos = [cirq.TiltedSquareLattice(width, height) for width, height in sidelens]\n",
    "\n",
    "    # Make placements using TiltedSquareLattice.nodes_to_gridqubits offset parameter\n",
    "    placements = {topo: topo.nodes_to_gridqubits(offset=offset) for topo in topos}\n",
    "\n",
    "    # Only allow placements that are valid on the device graph\n",
    "    placements = {\n",
    "        topo: mapping\n",
    "        for topo, mapping in placements.items()\n",
    "        if cirq.is_valid_placement(device_graph, topo.graph, mapping)\n",
    "    }\n",
    "    return placements"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "decimal-mississippi"
   },
   "source": [
    "The constructor for `HardcodedQubitPlacer` takes in a mapping from named topology to a \"placement\". Each placement is a mapping from named topology node to device qubit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:59.106945Z",
     "iopub.status.busy": "2025-05-30T10:12:59.106424Z",
     "iopub.status.idle": "2025-05-30T10:12:59.227541Z",
     "shell.execute_reply": "2025-05-30T10:12:59.226946Z"
    },
    "id": "engaged-harbor"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rainbow_mapping = all_offset_placements(rainbow_graph)\n",
    "hardcoded = HardcodedQubitPlacer(mapping=rainbow_mapping)\n",
    "\n",
    "placed_c, placement = hardcoded.place_circuit(\n",
    "    circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs\n",
    ")\n",
    "cirq.draw_placements(rainbow_graph, circuit_graph, [placement])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "foster-python"
   },
   "source": [
    "#### All hardcoded placements\n",
    "\n",
    "For completeness, the following figure shows all hardcoded placements. If you request one of the supported `TiltedSquareLattice` topology, you'll get the depicted mapping. If you request a topology not in the hardcoded list, you will receive an error. The `RandomDevicePlacer` (in contrast) will always succeed if the topology can be placed on the device."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-30T10:12:59.230642Z",
     "iopub.status.busy": "2025-05-30T10:12:59.229991Z",
     "iopub.status.idle": "2025-05-30T10:13:00.635398Z",
     "shell.execute_reply": "2025-05-30T10:13:00.634654Z"
    },
    "id": "bizarre-extraction"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from math import ceil\n",
    "\n",
    "n_col = 3\n",
    "n_row = int(ceil(len(rainbow_mapping) / n_col))\n",
    "fig, axes = plt.subplots(n_row, n_col, figsize=(4 * n_col, 3 * n_row))\n",
    "axes = axes.reshape(-1)\n",
    "for i, (topo, mapping) in enumerate(rainbow_mapping.items()):\n",
    "\n",
    "    axes[i].set_title(f'{topo.width}x{topo.height}')\n",
    "    cirq.draw_placements(rainbow_graph, topo.graph, [mapping], tilted=False, axes=axes[i : i + 1])\n",
    "\n",
    "fig.suptitle(\"All hardcoded placements\", fontsize=14)\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "name": "qubit-placement.ipynb",
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.17"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}