{
 "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": "2023-01-17T11:14:22.940512Z",
     "iopub.status.busy": "2023-01-17T11:14:22.940275Z",
     "iopub.status.idle": "2023-01-17T11:14:22.944209Z",
     "shell.execute_reply": "2023-01-17T11:14:22.943641Z"
    },
    "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.Note: this notebook relies on unreleased Cirq features. If you want to try these features, make sure you install cirq via `pip install cirq --pre`."
   ]
  },
  {
   "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/master/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/master/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": "2023-01-17T11:14:22.947682Z",
     "iopub.status.busy": "2023-01-17T11:14:22.947152Z",
     "iopub.status.idle": "2023-01-17T11:14:45.769898Z",
     "shell.execute_reply": "2023-01-17T11:14:45.769158Z"
    },
    "id": "0f3974f5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "installing cirq...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "installed cirq.\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    import cirq\n",
    "except ImportError:\n",
    "    print(\"installing cirq...\")\n",
    "    # This depends on unreleased (as of 1.14) qubit placement functions.\n",
    "    !pip install --quiet cirq --pre\n",
    "    print(\"installed cirq.\")\n",
    "    import cirq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-01-17T11:14:45.774265Z",
     "iopub.status.busy": "2023-01-17T11:14:45.773553Z",
     "iopub.status.idle": "2023-01-17T11:14:45.778047Z",
     "shell.execute_reply": "2023-01-17T11:14:45.777432Z"
    },
    "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": "2023-01-17T11:14:45.781364Z",
     "iopub.status.busy": "2023-01-17T11:14:45.780851Z",
     "iopub.status.idle": "2023-01-17T11:14:46.269408Z",
     "shell.execute_reply": "2023-01-17T11:14:46.268799Z"
    },
    "id": "acknowledged-declaration"
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cirq_google.workflow import SimulatedProcessorWithLocalDeviceRecord\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": "2023-01-17T11:14:46.273806Z",
     "iopub.status.busy": "2023-01-17T11:14:46.273094Z",
     "iopub.status.idle": "2023-01-17T11:14:46.396669Z",
     "shell.execute_reply": "2023-01-17T11:14:46.395851Z"
    },
    "id": "weighted-transaction"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "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": "2023-01-17T11:14:46.400052Z",
     "iopub.status.busy": "2023-01-17T11:14:46.399518Z",
     "iopub.status.idle": "2023-01-17T11:14:47.135157Z",
     "shell.execute_reply": "2023-01-17T11:14:47.134482Z"
    },
    "id": "northern-houston"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family 'Arial' not found.\n"
     ]
    },
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      ],
      "text/plain": [
       "<cirq.contrib.svg.svg.SVGCircuit at 0x7fdbf7a37190>"
      ]
     },
     "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()),\n",
    "    depth=4,\n",
    ")\n",
    "\n",
    "from cirq.contrib.svg import SVGCircuit\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": "2023-01-17T11:14:47.138947Z",
     "iopub.status.busy": "2023-01-17T11:14:47.138400Z",
     "iopub.status.idle": "2023-01-17T11:14:47.269606Z",
     "shell.execute_reply": "2023-01-17T11:14:47.268890Z"
    },
    "id": "acting-disease"
   },
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cirq.contrib.routing import get_circuit_connectivity\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": "2023-01-17T11:14:47.273522Z",
     "iopub.status.busy": "2023-01-17T11:14:47.272910Z",
     "iopub.status.idle": "2023-01-17T11:14:47.277032Z",
     "shell.execute_reply": "2023-01-17T11:14:47.276346Z"
    },
    "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",
    "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": "2023-01-17T11:14:47.280507Z",
     "iopub.status.busy": "2023-01-17T11:14:47.279834Z",
     "iopub.status.idle": "2023-01-17T11:14:47.283145Z",
     "shell.execute_reply": "2023-01-17T11:14:47.282604Z"
    },
    "id": "introductory-oxford"
   },
   "outputs": [],
   "source": [
    "from cirq_google.workflow import NaiveQubitPlacer, RandomDevicePlacer, HardcodedQubitPlacer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-01-17T11:14:47.286384Z",
     "iopub.status.busy": "2023-01-17T11:14:47.285814Z",
     "iopub.status.idle": "2023-01-17T11:14:47.451872Z",
     "shell.execute_reply": "2023-01-17T11:14:47.451252Z"
    },
    "id": "outdoor-greeting"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rdp = RandomDevicePlacer()\n",
    "\n",
    "placed_c, placement = rdp.place_circuit(circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs)\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": "2023-01-17T11:14:47.455129Z",
     "iopub.status.busy": "2023-01-17T11:14:47.454641Z",
     "iopub.status.idle": "2023-01-17T11:14:47.695423Z",
     "shell.execute_reply": "2023-01-17T11:14:47.694776Z"
    },
    "id": "prepared-crisis"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HVmGFVZu8zfOoyjxk+qBS4/m7e2nTf+wNZ8sqqKC8WmcZ5nj37t3s27ePGTNm1GmrVqsJCQkhIyPjhrcnhGiZ5JaBEDdJr9eTkpLC8OHDLcUAQFRUFIMHD7ZqW1hYiNFoxNfXF4DzBeVc2YnH957HCRrzOv73Tcal3e0Y9TqMBv0N5zMC5wpMtxxyc3N5+OGH6dy5My+//HK97X19fcnPz7/h7QkhWiYpCIS4SXl5eVRWVtK1a92BgCIjI+tdxtyXt0ZnqDPPObgLbp3vwLNXAsFjX6fm0kkK/t/Cm8pYozNQXl7OAw88QFlZGV988cVVOw0ajcY6/R6EEK2fFARCNCE/Pz8UCgVFRUUAOKuv/U9QoXLCrWtfKk7sw6CtvuHtKgw6Ro4cyeHDh/niiy/o3r37VdsWFRXV279ACNG6SUEgxE0KDAzEzc2NU6dO1Zl34sQJq89qtZqwsDAyMzMB6OTvwfV+FzdqawAjxprKGwtoNDD35Yl88803rFu3jrvvvvuqTXU6HdnZ2URFRd3YtoQQLZYUBELcJJVKxeDBg9m8eTNZWb8NF3z8+HFSUlLqtO/Xrx8HDx4EwMNFTeivbyfUlxfXaWuo0lBxMg2VdyAqjzY3lK/m2w/Y+OkGli5dysiRI6/ZNiMjg6qqKu66664b2pYQouWSpwyEsIHZs2ezdetW4uLieOGFF9DpdCxevJjo6GgOHz5s1XbYsGGsXr2akydPEhERwcDIIFbvP8+lDYmovAJwaReJ0sMHfUkemiM70GsKCRhm3QGwePdaSvZ+TPCf38C1Y8+r5tIc/IKCfV/Qr18/3N3dWbNmjdX8ESNG4OHhYfm8fft23N3diY+Pt8FeEUK0JFIQCGEDPXv2JCUlhalTpzJr1iw6dOjA7NmzuXTpUp2CYMiQIQQEBLBhwwZmzJjBuL6hfLTvHJ494yk//i2lBzZjqC5H6eqJS7tIvIdOwzXE+p6/UVsFKFB5+l4zV1XOWQD27dvHvn376szPzMy0Kgg+/fRTRo4ciZeX1w3uCSFESyUFgRA2MmDAAMutALOkpKQ67ZydnZk8eTIrV67klVdeoWuwF3HhAaQph+DV+4EGbasq+yjukXfh5B9y1TYqpYIRLyaz+qkdV21T248//sj333/Pe++916D2QojWRfoQCNEMpkyZgkajYf369QC8MaIH6qsMX3wlQ3UFNbmZtIkbf812aqWCN0b0uGab2ubNm8eoUaP43e9+1+BlhBCth1whEKIZeHp6kpuba/kc4ufO7KHRTP/8yHWXVbq40/GlzddtN2doNCG/dlhsCHNxIoS4NckVAiEcxNg+oUxLiLDJul5KiGRMn9DrNxRCiF/J64+FcDDrD2SRuOUYOoPR6qVH16NSKlArFcwZGi3FgBACkNcfC9Gije0Tyo4pd3NXF3+Aq74a2cw8/64u/uyYcrcUA0KIGyJ9CIRwQCF+7qx+qi+nLpexdn8WqSdzySqosHoRkgII9XdnYEQQ42NDCQ+SRwWFEDdObhkI0UKUV+vYujedh8c/yro1q7i3f2/LK42FEKI+cstAiFbIw0VN5zZO1Fw6Sec2TlIMCCFsSgoCIYQQQkhBIIQQQggpCIQQQgiBFARCCCGEQAoCIYQQQiAFgRBCCCGQgkAIIYQQSEEghBBCCGToYiGuqrxax7mCcmp0BpzVSjr5ezTrYEDl1Toyi7U4t40gs1hLZLWu2fI42r4RQtw8GbpYiFos7w44kUtWYT3vDvBzZ2BkEOP6htI12P7vDnCkPI6URQjRMI05f0tBIASQXVjBq5uOsPt0Piql4pqvHTbPjwsP4I0RPQjxc2/VeRwpixCicaQgEKIR1h/IInHLMXQG4zVPdldSKRWolQpmD41mrA1fOexIeRwpixCi8eTlRkJcQaPREBQUxNq1a62mL0k9xfTPj1CtMzTqhAegNxip1hmY/vkRlqSeanQeJycnHnjgAYfN01xZzGJjY3n55ZdvaFkhRONJQSBuCYsWLcLLy4uxY8dapq0/kMX8bSctnwu+fofz8x4g99PZjV7//G0n+eRAFhqNhsTERO699178/PxQKBR89NFH9ebx9/dn586d5OTk2C3PgQMHmDhxItHR0Xh4eBAaGsro0aM5efKkVfsr81yZ5WbymLMAHDt2jIceeoguXbrg7u5OQEAAAwYM4L///W+d5f7+97/z7rvvWvaPEMK+pCAQrZ5Wq2XRokVMmDABlUoFmO6LJ245ZmlTfekUmiPfoFA73/B2Zm05xuHT2cyZM4fjx4/Tq1eva+aZPHkyPj4+LF261G55El9/g40bNzJo0CAWLVrEM888w7fffktMTAxHjx6tN8+8txZZZbFFnllbjpFdWMH58+cpKyvjscceY9GiRcycOROAoUOH8u9//9tqmWHDhuHt7c3SpUtvaJtCiMaR54REq/fll1+Sl5fH6NGjLdNe3XQE3a+XwY1GI0U7luPR/Q9UnfvphrejMxhZ8l0+ly5d4rbbbuPgwYP06dPnqnnGjBnDpUuXWLVqFWdD77dLHkP0/Zz/7BOcnX87kY8ZM4YePXowb9481qxZUyfPig8/IuiZ/7O0t0UencHIq5uOsPqp+7n//vut5k2cOJHevXuzYMECnnnmGct0pVLJqFGjWLVqFbNnz0ahUNzQtoUQDSNXCESLtWfPHvr06YOrqythYWEsX76cpKSkOieOzZs306lTJ8LCwgDT43O7T+db7ouXH91JTd55fAc8elN5ys8fZePsp+j467Y+//xzAJ544omr5omPj+f8+fPs3Pu9XfKkfvQvvLy9rfZPREQE0dHRHD9+vE6e6D7/R3lBDlWXzvy2Hhvk0RuM7D6dz+ncsjrzVCoVISEhFBcX15ln3j8//vjjDW9bCNEwcoVAtEhHjhwhISGBwMBAkpKS0Ol0JCYmEhwcXKdtWloaMTExls9r92dZHo8zVFdQvOsjfPqNRuXpe8N5anLPkfvJLFTu3tw9+nnuifBn4cKF9batnad3796m5S8ex/m2MLvmqb1/Ll++THR0dJ08J/WBAFRdyLBpHjA9ebDmuyyShkZTXl5OZWUlJSUlbNmyha+//poxY8bUWca8f/bu3csdd9xxU9sXQlybFASiRZo1axZGo5Hdu3cTGmp6rO3BBx+kR48eVu10Oh1nzpxh2LBhlmmpJ3Itv42X7F2PQu2Md5/hN5WnePcawEjwuDfRdunEjGkDiYyMtLpNUV+e9u3bo1A5UZ2Xhaed89TePxcuXGDOnDl18qTnK0ClRpufDTbMA6arBKknc0kimr/97W8sX74cMN0aGDlyJEuWLKmzTPv27XF2diYjI+Omty+EuDa5ZSBaHL1eT0pKCsOHD7cUAwBRUVEMHjzYqm1hYSFGoxFfX9Nvt5pqHVmFFQBoCy9QenALbQY+iULtdMN5jAY9VZk/4NY1FrVPEFkFFZRX6+jcuXOdtvXlUbh6YKgstXueqKgo+vfvD0C/fv147LHHrPKY943S1dOmeWozZ3nxxRfZvn07//nPf7jvvvvQ6/XU1NTUu4yvry/5+fk22b4Q4urkCoFocfLy8qisrKRr16515kVGRvLVV1/VmW4ef+t8QbllyN3CHf/Gpf3teNze/6byGCpKMeqqcfJtZ9oWsHVvOpUXf3v+/tChQ6ZtFhYCpt/QDx06RGax1rQACrvn8dKVkJ6eDkBiYiI//fSTVZ6UvemmKDbOU5sROFdQTvTtt3P77bcD8Oijj5KQkMCQIUPYv39/nT4gRqNROhQK0QSkIBCtmnksgKKiIgBqdAYAKs/9RNXZdAJHvIqu+PJvCxj1GHXV6Iovo3TzQulyY0PvPjz+UWou/fYcv/leuNmyZctYtmwZzm0jMFRrMOhr7Jrnzw+PQ3v5t46C9957b508H2z+hraPLbB7HvMxqG3UqFE8++yznDx5ksjISKt5xcXFBAQENHo7QojGkYJAtDiBgYG4ublx6lTdEfBOnDhh9VmtVhMWFkZmZiYAzmrTXTJ9aR4AeZveqLMOfVkBF957Ct9BT+PdZ1id+VdSunujULugLbpombZuzSoqL57ikUceAbD8Zg4wfPhwwsPDmT9/PgdPXeDZsUNROrvZLY9RV0N4kBeZJa5ERERw+PDhevP8ZcY/+OvnP4NeZ9M8VzIfg9oqKysBKCkpsZp+4cIFampqiIqKavR2hBCNIwWBaHFUKhWDBw9m8+bNZGVlWfoRHD9+nJSUlDrt+/Xrx65duwDo5O+BAnDt2JPAka/VaVuwdQlq7yB87hqNU2CnBuVRKFW4dr6DylPfoSvJxckniHv79+arLVmWNrWfcrjnnnvYtWsXMTExnM48D4BH1N14RNa9NH+zebTFORTteJ+L546yePFiJk6ceNU89/bvjXbp/7N5ntoM5cV08vewmqbValm1ahVubm5069bNap65cLnrrrsavS0hRONIQSBapNmzZ7N161bi4uJ44YUX0Ol0LF68mOjoaA4fPmzVdtiwYaxevZqTJ08SERFBqJ875wlC7RNUZ72FO95H5dEG94h+VtPzv1xI+dFvaP/cB6jb1H20sU3cOHIyD5Gz9u/4dOjKsAMLSUtLs8yfO3cuAJMmTbLKs3vXTlzaBOEWdme998lvNs+llZMw1lQSGRnJ9OnTadeuHdnZ2axZswaA8ePHW/JcOH8W9aUjqLwDbZ7HrGLnMobev5IBAwbQvn17cnJyWLt2LT///DNvvfUWnp6eVu23b99OaGioPHIoRBOQpwxEi9SzZ09SUlIIDAxk1qxZrFy5ktmzZzNixIg6bYcMGUJAQAAbNmwAYGBkECpl4zqpGbWVKNQuKF096p3vHNSZoNFzULn7UJiRxjfffGO5DA4wc+ZMZs6cSVFRkSXPJ598wsaNG/l9wgjUqsb9U2xoHrMTJ05QUlJCdrbpccJHHnnEcjujdp7S43vx6jGo0Z34rpcHTOMQ3HPvMJRKJcuWLeP5559nwYIFdOjQgS+++IKpU6datTcYDGzcuJFHH31UOhUK0QSkIBAt1oABAzh48CDV1dWcOXOGZ599tt52zs7OTJ48mZUrV6LX6xnXN/Sqb+/r8MJKgh5KrDO9KjsDr5g/oXT1rGcpE9fQ7rR9/G1OXS7FaDRiNBpJTDSty/y5U6dOljzvvvsuRUVF/OO1v9ktT+jUT6+Zp/b+effdd9FWluFxx/1XXefN5NEbjMx7+Tm2b99OTk4OWq2WwsJCtm/fztChQ+u037JlC8XFxbzwwgtXXacQwnakIBC3hClTpqDRaFi/fj1dg72ICw9o8FWCmrzzGHXVeMc+eM12KqWCuPAAwoO8GpSnoKCAQYMG0b9nV4fJ88dBgxj4u4hGXUFpSJ7GZDF78803mThxIm3btm3wMkKIGyd9CMQtwdPTk9zcXMvnN0b04I8L/3fV38xrcw7sSOjUT6/bTq1U8MaIHtdtZ86j1WodMk92YUWDszQ0T2OymO3bt69R7YUQN0euEIhbUoifO7OHRtt0nXOGRhPid2PjBDhSHkfKIoRoOgqj+UbiNZSWluLj40NJSQne3t5NkUuIJrEk9RTzt528fsPreCkhkr8MDG9VeRwpixDixjTm/C23DMQtbeLArgR4upC45Rg6g7HBl8nBdF9crVQwZ2g0Y/qEXn+BFpbHkbIIIexPrhAIgem++aubjrD7dL7l1chXY54fFx7AGyN62OVSuCPlcaQsQojGacz5WwoCIWo5dbmMtfuzSD2ZS1ZBBbX/cSiAUH93BkYEMT42tFE95ltDHkfKIoRoGCkIhLCB8modW/em8/D4R1m3ZhX39u+Nh0vz3WVzpDyOlEUIcXWNOX/LUwZCXIWHi5rObZyouXSSzm2cmv2E50h5HCmLEMI2pCAQQgghhBQEQgghhJCCQAghhBBIQSCEEEIIpCAQQgghBFIQCCGEEAIpCIQQQgiBvMtAOJDyah3nCsqp0RlwVivp5O/R7AMBZRZrcW4bQWaxlshqneRxwCzmPI703RGiJZKRCkWzsgyHeyKXrMJ6hsP1c2dgZBDj+obSNbgJhwqWPA6dxRHzCOGIZOhi4fAc7YU5kqdlZHHEPEI4MikIhENbfyDrpl6pO3toNGNt+EpdydMysjhiHiEcnRQEwmEtST3F/G0nb3o90xIimDiwq+SxYx5HyuKIeYRoCeTlRsIhaDQagoKCWLt2LWD67c4WP9AB5m87yScHshqdxd/fn6VLlzpEHicnJx544AHLNEfK05xZHDGPVqslJCTE8t0RojWSbrjCbhYtWoSXlxdjx44lu7CCxC3H0BzeQcFXb9fbvsPE1ag8fRu8/llbjnFXWAAhfu5UV1cza9YsVq9eTVFRET179mTu3LnEx8dbZXnhhRdITk4mfvhYXnz9bS7/d6FNspjz9Ap25eMP3mX//v18//33FBUV8eGHH/L4449btV20aBH+/v7s3LmTnJwctM7edsnjUXKerZs/ITU1lXPnzuHv709sbCxz584lIiKi3jzpx8+SuOWEXY5V6aVMkpKSSE9PJycnB3d3d7p168ZLL73EkCFDmjzPlX0KkpOTmTFjBtHR0Rw9etQy3cnJialTp5KcnMyTTz6Jq6trg7clREshBYGwC61Wy6JFi5gyZQoqlYpXNx1BV+uer0/cONQ+t1kto3T1aNQ2dAYjr246wuqn+vL444/z2Wef8eKLL9K1a1c++ugj7r//flJTU+nbt68ly1NPPcWrr77Ko68twPDr3TJbZDHneeXjvWyeM4fQ0FB69erFrl276rQz75sXX3yRxYsXs3TpUjI7/skuef4yPZGaC8d56KGH6NmzJzk5OSxZsoSYmBi+++47unfvXifPEy8no+v5oGU9tjxWf25bQFlZGY899hjt2rWjoqKCjRs3MnToUJYvX84zzzzTpHlWP9XXMu2XX37hjTfewMOj/nU98cQTTJ8+nXXr1vHkk082antCtARSEAi7+PLLL8nLy2P06NGculzG7tP5VvPdutyJS9ubu4+rNxjZfTqfjVtTWb9+Pf/617+YNm0aAI8++ijdu3fn5Zdf5qWXXrJkadOmDf3v/gNpOzbj2TPeZlnMeQ7lK0g7cop+3cM5ePAgffr0qdPOvG/GjBnDpUuXWPnhf1CN+z0GAzbPUx11Pzs3f0q3Dv6W6WPGjKFHjx7MmzePNWvWWOU5fuY8H3+2mfbRIyztbXmsEocMYOvW+63mTZw4kd69e7NgwQKeeeaZJs1zOreM8CDTI4nTpk0jNjYWvV5Pfn5+nWXatGlDQkICH330kRQEolWSPgSiUfbs2UOfPn1wdXUlLCyM5cuXk5SUhEKhsGq3efNmOnXqRFhYGGv3Z6FSKuqsy1BdgdGgv+EsVdnHyPnPFB76k+nErlarLVlcXV156qmn2LdvH2vXrrVkAXDp+Duqf8nAoK2yWRZznstrXyYuJpqwsDA+//xzwPSbZW219018fDwXfslCn5dp1cZWeYq/+Tc9u7SzOlYRERFER0dz/PjxOnl0t/VAX5qL9vJZm+fRXsjg7v796nx31Go1ISEhFBcXN2kelVLBmu9MfQm+/fZbPvvsM95+++1rLhMfH8+ePXsoLCy8qW0L4YjkCoFosCNHjpCQkEBgYCBJSUnodDoSExMJDg6u0zYtLY2YmBgAUk/k1nlE7PLHr2KsqQSVGrfOMfj+4Smc/No3OEtN7jlyP5mF0t0bF9/b8FLWMG/ePKssv//97y1Z+vXrZ5l+ybkdYERXdNEmWa7ME/LHR3niro4sXFh/f4Da+6Z3794AVGQfQ+nkZtc8tY/V5cuXiY6OrpMnUxEEQNWFDJvnyfl4Js6ePiQlJVFRUcHMmTPx9zddufj6668ZM2ZMk+UB01WC1JO5zNTfzqRJk5gwYQI9evS45jK9e/fGaDSSlpZm1SFUiNZArhCIBps1axZGo5Hdu3czffp0ZsyYQWpqKseOHbNqp9PpOHPmDJ07d0ZTrSOrsMIyT+HkgkePP+IX/xyBI1/Dp++DVJ3/iZzVL6ErzWtwluLdawAjt417E71CRbfo7nWytG3bFoCcnBw6d+4MgKZaR4GyDQD6ihKbZLkyD72GM+Wl6bz33nt12tXeNwA+AcGgUqPNz7bZvrlantr758KFC4wZM6bOsbqs97BrnsA/z2PSlGnk5uaSl5fHzz//DMCIESNYsmRJk+UxyyqoYNGSdzl//jyvv/76ddt36dIFgIyMjBvanhCOTK4QiAbR6/WkpKQwfPhwQkN/G9glKiqKwYMH89VXX1mmFRYWYjQa8fX15XxBudWQsh5RcXhExVk+u0f0w7VzDJfXTqck7RP875143SxGg56qzB9w6xqL2icIo66G0ooqKisriY2NZe/evRw6dIhffvnF1N5opLKykkOHDpFZrEXp6gmA2ssf34G/3Qu+kSz15gG27k2nurra0ubQoUNW++bKPIbKUpvsm2vl6dzGiV69enHo0CF69uxJjx492LVrlyVPyt50jGDXPCqfILbuTSc+Pp5evXqxcOFCTp06RUFBAQcPHkShUNg9T226ylLmJCUxc+ZMAgMDr9ve19f0JEN9fQyEaOmkIBANkpeXR2VlJV271u3MFRkZaVUQmBmNRmp0huuu2zUkGud2EVSd+6lBWQwVpRh11Tj5tgNAoXbmxx9/tFx+B6z+DLB06VKWLl2Kc9sIgh/+x69T6/ZraGyW+vIAPDz+UWou/fbc/LXymCqmulnsmefw4cOWWyrmPCs27aDtYwvsnufKLACpqamkpqY2SZ7air9djW8bXyZNmtSg9uZx3K7sMyNEayC3DITN+fn5oVAoKCoqwlndsK+Y2jsQQ1XZDW1P5elH+9uCSU9PZ9y4cQCkp6ezbNkywPTDe9y4caSnp7NuzSoMVRoAlO71j9p1M1nM1q1ZxerVqy2f09PTSU9PZ//+/XXzVGuumsVWed5/bymRkZE4OztfNc+6NasA7J5n3ZpVlu2bj9drr70GwIYNG5osj7bwApofUxj/1LNcvHiRc+fOce7cOaqqqtBqtZw7d65O58GioiIAAgICGr09IRydFASiQQIDA3Fzc+PUqVN15p04ccLqs1qtJiwsjMzMTDr5e1zldztruuIclO4+DcqidPdGoXZB+2unQOegLly6kE14eLjlB3ZMTIzlh3nHjh2pqKggJiaGe/v3Rl9yGQAn/5CbzlJfHgVwb//e3H777ZY2MTExxMTE8Pvf/56wsDBLnp6dbgO9Dif/Dldd/83mMepqWP7PJLKzsy1XKurLc2//3ujL8u2ax7xvzNs3Hy/z5fqOHTvaPY+ZvqwAjAb+MfPvdO7c2fLf/v37OXnyJJ07d2bOnDlWy2Rmmp4GiYqKavT2hHB0UhCIBlGpVAwePJjNmzeTlfXbsK/Hjx8nJSWlTvt+/fpx8OBBPFzUhNYaDU5fUVKnbeWZA9TknMatc0yDsiiUKlw730Hlqe/QleTSpe8g9Ho9r7/+uiVLdXU1H374IX379iUuLo6DBw8C4OGixqM0C1CgrnVJ/Uaz1Jcn1N8dDxe15eRxJfO+ATh+1HSp26V9lE32zZV5tMU5lH81n+/3f8dbb73F999/f9U8Hi5qfDTZds3jW/ULHi6mO5W1vzurVq3Czc2Nbt262T2PmVNgR7o9NodNmzZZ/RcdHU1oaCibNm3iqaeeslomPT0dhUJh9dSKEK2FvNxINNjhw4fp27cvQUFBvPDCC+h0OhYvXkxwcDCHDx+m9ldp48aNjBo1ihMnTrDuZy2r959HbzByYfnTOAeH4XxbOEoXD2oun0FzeDsqTz/aPrYAlcdvw8/mf7mQ8qPf0P65D1C3sX60sSY3k5xVf0Pl7sPdw8dz+dB2jh49SmBgIHl5edx11118//33fPPNN+Tl5VmyREREEPn7e8i6lI+uvNAmWa7M0+X27oR4KUlLS6OyshLA0oN90qRJ7Nixw5Jn8eLFrP5kI34T3if7Pdvsm9p5UKow1lQSGRlJTk4O3t7eZGdnW25njB8/3upYjZ86mx92b6fd8yu5+O9nbL9/lAo6hnSgY8eOHDx4EDc3Ny5fNl2xeeutt5g6dWqT5AHTOASP9O1I0tBoq+n33HMP+fn5VkMXmw0ZMoTi4mJ2795d7zqFcDSNOX9Lp0LRYD179iQlJYWpU6cya9YsOnTowOzZs7l06RKHDx+2ajtkyBACAgLYsGED457+Kx/tOweAe9QAKk8foDLzB4zaalSevnj2Gkyb//uz1Q90AKO2EoXapd5haZ2DOhM0eg5FO1fw7fp36dC+PfHx8aSlpQGm4YG//PJLBgwYQE1NjSXLpEmTyPxpH16DnkNXctkmWa7Mc/L7VK58Dc/MmTMB0wnYvG8++eQTNm7cyLjx4/l/Rtvtm9p5cj9NAn67rVNSYvot+5FHHqk3z/mDO/Ho/gcUCoVd8jjtWcbZs2c5d+6cqdNpTQ0AX3zxBUOHDgVokjxgGodgfGzDX4VcUlLCtm3b5AVHotWSKwTipiUlJTF79myu/Cq9/vrrfPjhh5w6dYrHPzpI2tmCRr3DPvud8Xh2/wO+f6h/mFiVUsFdXfytxqO/XpaJEycyf/587p75Md//Ut7gPNfLciN53n33XUpKSjh79iwvf5XVqP1jzzz3z/2MHwsVdj9WjpjnWt5++23++c9/cubMGdzc3Bq8nBDNSV5/LBzClClT0Gg0rF+/njdG9EBdz/DFV1OTdx6jrhrv2Aev2katVPDGiGuPLHdlFvPb7P45pk+D8zQky43kKSgoYNCgQbRt27ZR+8feed5+YmCzHitHzKPValmwYAEzZsyQYkC0WnLLQNiNp6cnubm5ls+zh0Yz/fMjDVrWObAjoVM/vWabOUOj67y+tqFZGpOnIVluJI9Wq7V8DvFzd6g8zXmsHDGPk5OTVWdaIVojuUIgmszYPqFMS4iwybpeSohkTJ+G3/+VPC03iyPmEaI1kj4EosmtP5BF4pZj6AzGRt0XVikVqJUK5gyNtukPdMnTMrI4Yh4hHF1jzt9SEIhmkV1YwaubjrD7dD4q5bU7jJnnx4UH8MaIHo261Ct5WlcWR8wjhCOTgkC0GKcul7F2fxapJ3PJKqiwehGSAgj1d2dgRBDjY0MJD/KSPM2Yx5GyOGIeIRyRFASiRSqv1nGuoJwanQFntZJO/h6WUe2aK8/Wvek8PP5R1q1Zxb39e0seB8ziiHmEcBQyMJFokTxc1ES3a/yY9Pbi4aKmcxsnai6dpHMbp2Y/wThSHkfK4oh5hGiJ5CkDIYQQQkhBIIQQQggpCIQQQgiBFARCCCGEQAoCIYQQQiAFgRBCCCGQgkAIIYQQSEEghBBCCKQgEOKqyqt1ZBZrcW4bQWaxlvJqneRxwCyOmufYxRJ+yCri2MWSZs8jREPI0MVC1GIZH/9ELlmF9YyP7+fOwMggxvUNpWtwE47X7wB5HCmL5BGiYeRdBkI0kqO9Qc+R8jhSFskjRONIQSBEI6w/kEXilmPoDMZr/jC/kkqpQK1UMHtoNGP7hLbKPI6URfII0XhSEAjRQEtSTzF/28mbXs+0hAgmDuzaqvI4UhbJI8SNacz5WzoViluCRqMhKCiItWvXWqatP5Blkx/oAPO3neSTA1mNyuPk5MQDDzzgkHmaM4uj5TF/d/z9/Vm6dGmz59FqtYSEhFiyCGEr8o5QcUtYtGgRXl5ejB07FjDd903ccgyAynM/UpK2gZrLp8FoxMm3Hd6xD+IRNaBR25i15Ri9gl35+IN32b9/P99//z1FRUV8+OGHPP7443Xy+Pv7s3PnTnJyctA6e9slj0fJebZu/oTU1FTOnTuHv78/sbGxzJ07l4iIiHrzpB8/S+KWE5Z5tsgza8sx7goLoPRSJklJSaSnp5OTk4O7uzvdunXjpZdeYsiQIU2e58p7+MnJycyYMYPo6GiOHj1qyeLl5cULL7xAcnIy8cPH2uVYKS5lMGbYffXO37dvH7GxsQA4OTkxdepUkpOTefLJJ3F1dW3UtoS4GrllIFo9rVZL+/btmTJlCq+88goAj3ywn7SzBZT8uI2Cr97BtfPvcA/vC0ol2oILqLz88ek7slHbUSkV9PSuZvP0kYSGhtKlSxd27dpVpyAw53nxxRdZvHgxTz/9NJkd/2SXPLqU+dRcOM5DDz1Ez549ycnJYcmSJWg0Gr777ju6d+9eJ0/gnfdT3vNB9AYjmsPbbZJHpVRwVxd//ty2gHfeeYd+/frRrl07Kioq2LhxI7t372b58uU888wzTZpn9VN9LdN++eUXIiMjUSgUdOrUiaNHj1p9d55//nmCg4OJefglctvdZfNj1aXmHDvm/4XJkyfTp08fq/n33nsvAQEBls/FxcUEBwezbNkynnzyyUZtS9xaGnP+lisEotX78ssvycvLY/To0YDp8bDdp/PRFV+mcNt7ePV+AL/4Z296O3qDkUP5CtKOnKJf93AOHjxY5wd77Txjxozh0qVLrPzwP6jG/R59Sa7N81RH3c/OzZ/SrYO/ZfqYMWPo0aMH8+bNY82aNVZ5jp85z8efbaZ99Aib5tEbjOw+nU/ikAFs3Xq/1byJEyfSu3dvFixYwDPPPNOkeU7nlhEeZHoEcNq0acTGxqLX68nPzwesvztt2rSh/91/IG3HZgIe6GLzY3XkQgkAcXFxjBo16prt27RpQ0JCAh999JEUBMJmpA+BaLH27NlDnz59cHV1JSwsjOXLl5OUlIRCobBqt3nzZjp16kRYWBgAa/dnoVIqKPvxa4xGPW3ixgNgqKmkARfMrqoq+xiX175MXEw0YWFhfP755wA88cQTV80THx/PhV+y0Odl2iVP8Tf/pmeXdlb7JyIigujoaI4fP14nj+62HuhLc9FePmvzPNoLGdzdv1+d46VWqwkJCaG4uLjJ8lRlHyPnP1O4vUMAYWFhTJs2jQ0bNrBz506rdld+d1w6/o7qXzIoPfCFTfcNgFL52/e2rKwMne7agxnFx8ezZ88eCgsLb2q7QpjJFQLRIh05coSEhAQCAwNJSkpCp9ORmJhIcHBwnbZpaWnExMRYPqeeyEVvMFJ17kec/DpQefYgRakr0ZcVoHT1xCvmT/jEjUOhaHi9XJN7jtxPZqF09ybkj4/yxF0dWbhwYb1ta+fp3bs3ABXZx+yep/b+uXz5MtHR0XXyZCqCAKi6kGHzPDkfz8TZ04ekpCQqKiqYOXMm/v6mKxdff/01Y8aMaZI8V+6bx2JDeP311/H19a1zcr3yu3PJuR1gpPLsAZvtGzPDr48tPvHEE2g0GlQqFXFxcfzrX//izjvvrNO+d+/eGI1G0tLSrDqnCnGjpCAQLdKsWbMwGo3s3r2b0FDTc9wPPvggPXr0sGqn0+k4c+YMw4YNA0BTrSOrsAIAbdFFFAol+f/vbXz6PohTUGcqTqZRkvYJRoMe33seb3Ce4t1rACO3jXsTfIKY8tJgIiMjLbcprpbHJyAYVGq0+dl2z1N7/1y4cIE5c+ZY5dFU67is97BrnsA/z2PSlEf4218nkpeXR15eHgAjRoxgyZIlTZLnyn3j6XMGV1dXSkpKrNrV990pULYxzSvNR+nkYpN9Y6Fywj3yLv455XHatw0mIyOD+fPnExcXR1paGnfccYdV8y5dugCQkZEhBYGwCSkIRIuj1+tJSUlh+PDhlmIAICoqisGDB/PVV19ZphUWFmI0GvH19QXgfEG5ZUhZY00VRqOBNvc8jk+s6Z6tx+39uVyloezgf/HpNxqly/VHkjMa9FRl/oBb11jUPkEYga1706murra0OXTokFWeyspKDh06RGaxFqWrJ4bKUrvn6dzGiV69enHo0CF69uxJjx492LVrlyVPyt50jGDXPCqfILbuTSc+Pp5evXqxcOFCTp06RUFBAQcPHkShUNg1z5X7RldZSuLMmUyYMIEDBw6wd+9eNBoNVVVVVvum9rECQK/FoNfe9L6pzbVDFK4dohgw5P+IbufD0KFDGTVqFD179uSVV15h69atVu3N32lzfwchbpYUBKLFycvLo7Kykq5d6w7mEhkZaVUQmJnv79boDJZpCrUzRm1VnUfEPKIGUHU2nZrLZ3EN7X7dPIaKUoy6apx821mmPTz+UWou/facuvnWgNnSpUtZunQpzm0jMFUoiibNc/jwYX7/+99b5VmxaQdtH1tg9zxXZgFITU0lNTXV7nmuzFL87Wo0FZW8/fbbljbp6emA6R69OYv5WAU//A9TI6UKDPqb3jf1qf0dDQ8PZ9iwYXz++efo9XpUKpVlnvk7fWWfGSFulHQqFK2an58fCoWCoqIiAJzVv33lVZ5+pv97+Foto/JoA4ChSnPD2123ZhWrV6+2fE5PTyc9PZ39+/ejUCgYN24c6enprFuzCkO1BqW7t13zvP/eUiIjI3F2dr5qnnVrVpm2Y+c869assmx/3LhxALz22msAbNiwocnyaAsvoPkxhSefn8R///tfy62B7t2707FjRzZv3lz3WP26DaWLh02z1Fb7OwoQEhJCTU0N5eXlVtPN3+najyMKcTPkCoFocQIDA3Fzc+PUqVN15p04ccLqs1qtJiwsjMzMTAA6+XugwPRLp/Nt4eiKLqLTFODU5jbLMvqyAgCU7j4NyqN090ahdkFbdBEwvdnu3v69OX7kt9/mandMCwsLo6KigpiYGLzOnge9Dif/Dhgqy+ySx6irYfk/55GdnU3v3r3Zt29fvXnu7d+bFz9fa9c85n3j4WL60WM+qQUGBgLQsWNHu+apnUVfVgBGAyuXLGDlkgWWNuYBiYYPH46Pj4/lWEVW69B/+C0ATgEhVGcfu+l9cyUFpu9obWfPnsXV1RVPT0+r6ebvdFRU1A1tS4gryRUC0eKoVCoGDx7M5s2bycr6bcjX48ePk5KSUqd9v379OHjwIAAeLmpCfx2dziMqDgDNT9ssbY1GA5ojO1C6euFyW3iD8iiUKlw730Hlqe/QleQS6u+Oh4va8gP7WnmOH/0JAJf2UXbJoy3Oofyr+Xy//zveeustvv/++6vm8XBR46PJtmse36pfLMVA7eO1atUq3Nzc6Natm13z1M6icPWg22Nz2LRpE++88w5KpenHYXR0NKGhoWzatIm4uDir745HaRagwLNXgk32TW36ihLLd8fsp59+YsuWLSQkJFjymaWnp6NQKOjXr1+jtyVEfeQKgWiRZs+ezdatW4mLi+OFF15Ap9OxePFioqOjOXz4sFXbYcOGsXr1ak6ePElERAQDI4NYvf88bl1jce3Yi9J9n2KoLMU5qDMVJ7+j+pcM/O6diELtZFlH/pcLKT/6De2f+wB1m7qPNraJG0dO5iEur/07Hrd3549bk0lLS7PMnzt3LgCTJk2yyrN9+3Z8Atvi1jYcfXCYzfNcWjkJY00lkZGRTJ8+nXbt2pGdnc2aNWsAGD9+vFUe9/zjqL0DcQ4OAzvkObL0r4T/91907NiRgwcPEhAQwOXLlzl06BBvvfUWnp6eds9jzpK/cS7Rw8dz7NgxFi9eTPfu3Tl8+LDlEvzw4cPR6/WMGjXK8t1RXTqCa4dueET/gfIjO22ybyztvngTtwAfkqvTCAoKIiMjg3//+9+4u7szb968Ou23b99O//79LY9uCnGzZOhi0WJ9++23TJ06lSNHjtChQwdefvllLl26xOzZs60GiampqaF9+/b89a9/ZcaMGZy6XEb826ZLv4aaSoq/XU3F8d3oq8pw8uuAd+yDeEYPtNpW3qY3qDyTToeJ//mtp/kVqrKOUrRzBTU5p6+aOTMzk3bt2tG+fXsmT57MsmXLGDF2PP/P5W675Mn9NAmjtuqqeYxGo2X/TJ48mSXvLqU67G7aDHjELnmc9izjQnYWSqUSo9GIs7MzVVVVfPHFFwwdOhSgSfKYj5WxMIuQK747d999N/n5+Rw9etTquzNp0iQCg4LwGvQcXr0SbLpvAEoPbiGkIJ1fzmdSWlpKYGAggwYNIjExkfBw6ysOJSUlBAUFsXTpUp566qmrrlMIef2xuGUlJSXVKQgAXn/9dT788ENOnTqFSqWyvMugoe+wz35nPJ7d/4DvH64+TGx94+NfK8+7775LSUkJZ8+e5eWvshwmz/1zP+PHQkWDszQkT31ZHC3P9b47EydOZP78+dw982O+/6Xc7sfqWt5++23++c9/cubMGdzc3Bq0jLg1yeuPhbjClClT0Gg0rF+/HoA3RvRArWzY41o1eecx6qrxjn3wmu3USgVvjOhxzTa18xQUFDBo0CDatm3rUHnefmJgg7M0NE9jsjhaHvN3x/wmxH+O6dOsx0qr1bJgwQJmzJghxYCwKelDIG4Jnp6e5ObmWj6H+Lkze2g00z8/ct1lnQM7Ejr10+u2mzM0us7rdK+VR6vVOmyehmZpaJ7GZHG0PFd+dxqTxx7HysnJyaozrRC2IlcIxC1rbJ9QpiVE2GRdLyVEMqZP6PUbtpA8jpRF8gjRNKQPgbjlrT+QReKWY+gMxkbdp1YpFaiVCuYMjbbpD3RHyuNIWSSPEI0nnQqFaKTswgpe3XSE3afzUSmv3YHNPD8uPIA3RvRo1KXwlpjHkbJIHiEaRwoCIW7QqctlrN2fRerJXLIKKqj9j0MBhPq7MzAiiPGxoYQHed1SeRwpi+QRomGkIBDCBsqrdZwrKKdGZ8BZraSTv4fVKHLNkWfr3nQeHv8o69asshoC+FbOInmEuLrGnL/lGyrEVXi4qIlud2Nj0tuDh4uazm2cqLl0ks5tnJr1BONIWSSPELYhTxkIIYQQQgoCIYQQQkhBIIQQQgikIBBCCCEEUhAIIYQQAikIhBBCCIEUBEIIIYRACgIhhBBCIAWBEC1GebWOzGItzm0jyCzWUl6tkyySp8F5jl0s4YesIo5dLGn2PMIxydDFQjgwy/j4J3LJKqxnfHw/dwZGBjGubyhdg5voXQYOkEXytLw8onnIuwyEaOEc6Q16jpRF8rS8PKJ5SUEgRAu2/kAWiVuOoTMYr/nD/EoqpQK1UsHsodGM7RPa6rJInpaXRzQ/KQiEaKGWpJ5i/raTN72eaQkRTBzYtdVkkTwtL49wDI05f0unQiGagUajISgoiLVr11qmrT+QZZMf6ADzt53kkwNZjcrj5OTEAw880OxZHC2P+Vj5+/uzdOnSZs9TVFSESqXi8ccft0xrzjxarZaQkBDLvhEtl7yTU4hmsGjRIry8vBg7dixguu/75KgHqMw6Uv8CShUdX/6iUduYteUYHiXn2br5E1JTUzl37hz+/v7ExsYyd+5cIiIirPL4+/uzc+dO0o+fJXHLCXLWTqc6+6hN8szacoy7wgIovZRJUlIS6enp5OTk4O7uTrdu3XjppZcYMmRIk+e58p55cnIyM2bMIDo6mqNHj1qyeHl58cILL5CcnEz88LF2OVaKSxmMGXZfvfP37dtHbGwsAEuXLsXX15dt27ZRVVVFXoXBLnnM++fQoUMkJSWxZ88eqqqq6NKlC8888wyTJ08GwMnJialTp5KcnMyTTz6Jq6tro7YlHIfcMhCiiWm1Wtq3b8+UKVN45ZVXAHjkg/3s+GYH2rIiq7ZGbRWFKe/iFnYnQQ8lNWo7KqUCXcp8ai4c56GHHqJnz57k5OSwZMkSNBoN3333Hd27d7fkefHFF1m8eDGBd95Pec8H0Zw5hL682CZ5VEoFd3Xx589tC3jnnXfo168f7dq1o6Kigo0bN7J7926WL1/OM88806R5Vj/V1zLtl19+ITIyEoVCQadOnTh69KjVsXr++ecJDg4m5uGXOFftZvNj1aXmHDvm/4XJkyfTp08fq/n33nsvAQEBljzPPfccb775JsuWLSPVGG2X785dXfx5JKSEIUOGcMcddzBmzBg8PT05c+YMBoOBf/7zn5b2xcXFBAcHs2zZMp588slGbUvYV2PO33KFQIgm9uWXX5KXl8fo0aMB0+Nhu0/n49Lxd7hc0VZzNBUAj273NHo7eoOR6qj72bn5U7p18LdMHzNmDD169GDevHmsWbPGkmfMmDEcP3Oejz/bTPvoEbh1vqPOOm80j95gZPfpfBKHDGDr1vut5k2cOJHevXuzYMECnnnmmSbNczq3jPAg0yN306ZNIzY2Fr1eT35+PmB9rNq0aUP/u/9A2o7N3Db+TZsfqyMXSgCIi4tj1KhR9bYz53nsscf44YcfWPb+B+Td86pdvjv/O5bF1lcm8qc//YnPPvsMpfLqd5jbtGlDQkICH330kRQELZj0IRDCRvbs2UOfPn1wdXUlLCyM5cuXk5SUhEKhsGq3efNmOnXqRFhYGABr92ehUirqWyXlGbtQOLni1jW20Xmqso9R/M2/6dmlnVWeiIgIoqOjOX78eJ08utt6oC/NRXv5rM3zaC9kcHf/fnX2j1qtJiQkhOLi4ibLU5V9jJz/TOH2DgGEhYUxbdo0NmzYwM6dO63aXXmsXDr+jupfMtBXltksizlPYcq7gKlAWrRoEbNmzbrmdyc+Pp6D+/dBtabedd5MHoDK4/8jPy+X5ORklEol5eXlGAyGq7aPj49nz549FBYW3tD2RPOTKwRC2MCRI0dISEggMDCQpKQkdDodiYmJBAcH12mblpZGTEyM5XPqidx6HxHTV5RQde5HPKLiUDo37r5sTe45cj+ZhdLdm5A/PsoTd3W0ynP58mWio6Pr5MlUBAFQdSED59vCbJon5+OZOHv6kJSUREVFBTNnzsTf33Tl4uuvv2bMmDFNkufKffNYbAivv/46vr6+dU5mVx6rS87tACPVF47jHv77m85SO4/C2Q0wdRp88cUXLfMPHjzInXfeWSdP7969wWikIjvDKsvN5jGryPwBlasHFy5cYPjw4Zw8eRIPDw8eeeQRFi5cWKevQO/evTEajaSlpVk6g4qWRa4QCGEDs2bNwmg0snv3bqZPn86MGTNITU3l2LFjVu10Oh1nzpyhc+fOAGiqdWQVVtS7zvLj34JBf0OXfIt3rwGM3DbuTeg1nCkvTbfKc+HCBcaMGWOVR1Ot47LeA1RqtPnZdskT+Od5TJoyjdzcXPLy8vj5558BGDFiBEuWLGmSPFfuG0+fNri6ulJSUmLVrr5jVaBsA4A237oXvi32jd/gF3CPvIu331nCkiVLLJfo4+Li+OGHH+rkCW4fWm+Wm81jpi28iEGvY9iwYQwePJiNGzfy5JNP8t577/HEE0/Uad+lSxcAMjIybnibonlJQSDETdLr9aSkpDB8+HBCQ38b1CUqKorBgwdbtS0sLMRoNOLr6wvA+YJyrtartyLjfyjdfXCt5975tRgNeqoyf8CtayxqnyCMwNa96VRWVtKrVy8AevbsSY8ePdi1axdGo5HKykpS9qZjBJSunhgqS+2SR+UTxNa96cTHx7N06VK6djU9715QUMDBgwftnufKfaOrLCVx5kwmTJhg6cWv0WioqqqyynLo0CFS9qajdPUEqJPHFvvGI/IuAke8SlDXnvTr149+/fqZ2hiN/OUvf6mT58DPmfVmuZk8Vtm0VRi11Tzw4FjeeecdRo4cyTvvvMOzzz7L+vXrOXXqlFV783fa3P9CtDxyy0CIm5SXl0dlZaXl5FZbZGQkX331VZ3p5od7anT135PVFudQfeFnvGIeQKFUNSqPoaIUo64aJ992lmkPj3+Umku/Pad++PBhfv/73y4zL126lBWbdtD2sQWYKhTre9e2zHNlFoDU1FRSU1PtnufKLMXfrkZTUcnbb79taZOeng6Y7ombsyxduhTnthEEP/yPX1v9lsfex6q6upp9+/bVyeN0W3idLDebpzaF2hmA+CEjraY//PDDLF++nH379ll9583f6Sv7PYiWQ64QCNGE/Pz8UCgUFBWZHhFzVtf/T7D82C4APKLvscl2339vKZGRkTg7m37Ip6enk56ezv79+1EoFIwbN451a1YBYKjWoHS3fjzJlnnWrVll2f64ceMAeO211wDYsGFDk+XRFl5A82MKTz4/if/+978MGzYMgO7du9OxY0c2b95syZKens66NaswVJk68NXOY+tjZd4/5n3z6KOPAvDNN99Y5Xl30cI6WWyZR+Vp6t9x2xX9YIKCTP06zN9hM/PngICAm9quaD5yhUCImxQYGIibm1udS6gAJ06csPqsVqsJCwsjM9N0ubeTvwcKqHPboCLjf6jbtMWl/e2NzqN090ahdkFbdBEAo66G5f+cR3Z2Nr1792bfvn1WHeXCwsKoqKjg3v69efHztaDX4eTfwS55FMC9/Xvj4WL60WM+iQQGBgLQsWNHu+apnUVfVgBGAyuXLGDlkgWWNuYBiYYPH46Pjw8VFRXExMQQWa1D/+G3ADj5h9x0livzAFb7x7xvysvLcXV15Z577rHsm5iYGApLyupkudk8tTnfFkbVuR9QVFif+C9eNGU1HzMz83c6KirqprYrmo9cIRDiJqlUKgYPHszmzZvJyvqtg9fx48dJSUmp075fv34cPHgQAA8XNaFXjJZXk3MGbUE2Ht3uvqE8CqUK1853UHnqO7TFOZR/NZ/v93/HW2+9xffff3/VPB4uanw0ps57Lu1/+6Fuyzy+Vb9YioHa+2fVqlW4ubnRrVs3u+apnUXh6kG3x+awadMm3nnnHUsnvujoaEJDQ9m0aRNxcXFWx8qjNAtQWE62ttw31ZfPEOrvjoeL2mrfbNmyhYSEBJRKpdV3J+PIT6BQWJ34bzZPbR63xwGwbvVHVtNXrFiBWq3mnnvusZqenp6OQqGw9H0QLY8UBELYwOzZswFTj/A333yT5ORkBg4caHm0r7Zhw4aRnZ3NyZOm+8QDI4OsxiEoz9gFXPuSb/6XCzk/7wF0xZfrnd8mznS5+dLKSRRkpBEWFsb06dNp1850r3rNmjWsWbOmTh73/OOovQNxDv7tET9b5jmy9K+Eh4czaNAgYmNjLZeXDx06xNy5c/H09LR7HnOW/I1zaWss4tixYyQnJ9O9e3fAdMnby8uL4cOH8/jjj1sdK9WlI7h26IbKzdvm+yZn1TSOvf0k8fHxxMbGWjrpubu7M2/ePMD6WG3fvp3QqDtw9vCx2b6pza1dOL/74wjWrVvHmDFjWLp0KaNHj+bjjz/mpZdesnyXzLZv307//v0tj5KKlkcKAiFsoGfPnqSkpBAYGMisWbNYuXIls2fPZsSIEXXaDhkyhICAADZs2ADAuL6hlnEIjEYD5ce/xTk4rM5l8tqM2koUaheUrh71zncO6kzQ6Dnwa0evEydOUFJSQna26TfuRx55hEceecQqzyeffML5gzvx6P4HS8cwW+e57bbbOHv2LP/73//QaDSWR/2++OILpk6d2iR5zFmU7j58u/7dBh+rkpISMn/ah3uPQXbZNyp3Hwovnmfnzp2WJx3ANA6B+TK8Oc+qVavYtm0bz0540ubfHTO9wci6j1aQlJTE/v37efHFF/nhhx9YuHAhb7zxhlXbkpIStm3bZvXCJdHySEEghI0MGDCAgwcPUl1dzZkzZ3j22Wfrbefs7MzkyZNZuXIler2ersFexIUHoFIqUCiUdPjLf2j7xKJrbqsqOwOvmD9ZHoOrj0enHoxbZnpUzfxfYmIigOVz7TzvvvsupSXFDBr5iOWKha3yqJQK4v9wD9nnz2EwGNDpdOj1ev7+978DMHTo0Dr7x555PDr1YPTcNdTUc6x27dpl6UdQ+1h98MEHBPj7kzBkpF2O1Z8XfonBYECv16PX6/nb3/4GQHh4uKWdOc+yZcvw8/NjynNP2uW7o1IqiAsPIKq9H4mJiZw7d46amhpOnTplNWiS2Ycffoi/vz8PP/zwNbctHJsUBEI0gylTpqDRaFi/fj0Ab4zogfoqwxdfqSbvPEZdNd6xD16znVqp4I0RPRqcp6CggEGDBvH2EwMbnKWheRqTxdHymI+V+U2I/xzTp1mP1cSJEykuLmbw4MG4ubk1+3dHq9WyYMECZsyYgZubW4OWEY5JnjIQohl4enqSm5tr+Rzi587sodFM//wqr7CtxTmwI6FTP71uuzlDo+u83vdaebRareVzQ7M0NE9jsjhaniuPVWPy2ONY+fr6otfrLZ+b+7vj5ORk1ZlWtFxyhUAIBzG2TyjTEiJssq6XEiIZ0yf0+g1bQBbJ0/LyiJZJYTTfSLyGxrxPWQhxc9YfyCJxyzF0BmO9Lz26GpVSgVqpYM7QaJv9QHekLJKn5eURza8x528pCIRwQNmFFby66Qi7T+ejUiqu+cPdPD8uPIA3RvRo1KX5lpZF8rS8PKJ5SUEgRCtx6nIZa/dnkXoyl6yCCqsRDRVAqL87AyOCGB8bSniQ1y2TRfK0vDyieUhBIEQrVF6t41xBOTU6A85qJZ38PSyj/jVHlq1703l4/KOsW7PKajhiyeOYeRzluyOaVmPO3/KNEKKF8HBRE93O5/oNm4CHi5rObZyouXSSzm2cmv3kInmun8dRvjvCcclTBkIIIYSQgkAIIYQQUhAIIYQQAikIhBBCCIEUBEIIIYRACgIhhBBCIAWBEEIIIZCCQAghhBBIQSCEuAHl1Toyi7U4t40gs1hLebVO8jhwHiEaQoYuFkI0iGVs/BO5ZBXWMza+nzsDI4MY1zeUrsFNOFa/5BHiquRdBkIIm3G0t+dJHiEaTgoCIYRNrD+QReKWY+gMxmue6K6kUipQKxXMHhrN2D6hkqeJ8ghxpcacv6UPgRACjUZDUFAQa9eutUxbknqK6Z8foVpnaNTJDkBvMFKtMzD98yMsST11Q3mcnJx44IEHmj2Ped/4+/uzdOnSZs+j1WoJCQmxyiKELUhBIIRg0aJFeHl5MXbsWMD0m+/8bSepzjlN7qezyV48nqy3RnHxg4mUHtyC0aBv8LrnbzvJJweyADh27BgPPfQQXbp0wd3dnYCAAAYMGMB///vfOnn8/f3ZuXMnOTk5dstzpeTkZBQKBd27d6+zb1599VWSk5Opqqpi/YEskld9ddNZaufZtWsXCoWi3v++++47S3snJyemTp1qySKErcgtAyFucVqtlvbt2zNlyhReeeUVsgsr+OPC/1H6y0lyVk/Dybcdnj0TUDi5UHk2ncpT3+HVewh+8c82eBsuaiU7ptzNke928c4779CvXz/atWtHRUUFGzduZPfu3SxfvpxnnnnGkufFF19k8eLFjBn/OF+7DrBLntr38H/55RciIyNRKBR06tSJo0ePWu2b559/nuDgYJLnv83in7RkffQ3m2Qx53m9j4Ixw+5j8uTJ9OnTx2r+vffeS0BAgOVzcXExwcHBLFu2jCeffLJR2xK3FulDIIRosE2bNjFy5EhOnz5NWFgYj3ywn7SzBeT+v3fQHP2GDhNXo3L7rVd8ztrp1OSeJXTKhgZvQ6VUcFcXf1Y/1bfOPL1eT+/evamqquLnn3+2yvP222/z4cefEfTMCvK+WmzXPGPHjiUvLw+9Xk9+fj5Hjx6ts2+GDBnC9yd+odIjmLIjtsliztOl5hw75v+FTz/9lFGjRl13mSFDhlBSUsK3337bqG2JW4v0IRBCsGfPHvr06YOrqythYWEsX76cpKQkFAqFVbvNmzfTqVMnwsLCOHW5jN2n89EbjBhqKlConVG6eli1V3n6olA7NyqL3mBke+r/6HlHTJ08arWakJAQiouL6+SJ7vN/lBfkUHXpjE3zlJ8/yoYZj+Dya5Zp06axYcMGdu7cedV9A/C72DhyT/2ErqLUZlnAtH+OXCixfC4rK0Onu/bYBfHx8ezZs4fCwsJGb0+I+qibO4AQwvaOHDlCQkICgYGBJCUlodPpSExMJDg4uE7btLQ0YmJiAFi7P8vyaJxraA8qju+mcOsSvPuM+PWy+EEqTuzDd+ATjcpTk3uO3E9mUeXrR1JSEhUVFcycORN/f38Avv76a8aMGVMnz0l9IABVFzJslsecReXuzd2jn2dAuC+vv/46vr6+dU6utbMAXFC3BYyoPHwxVlfYZN+YKZWmQu2JJ55Ao9GgUqmIi4vjX//6F3feeWed9r1798ZoNJKWlmbV+VKIGyUFgRCt0KxZszAajezevZvQUNNjbQ8++CA9evSwaqfT6Thz5gzDhg0DIPVErqXHvGevwWjzsij7cSuan7aZFlAo8Ut4Dq877m9UnuLdawAjkU8vYPr0sTz33HPk5eWRl5cHwIgRI1iyZEmdPOn5ClCp0eZn4xf/rE3ymLMEj3sTbZdO+Ltl4OrqSklJiVW7K7MAZGjcAFB5B+AV84BN9o2ZQaEmoMcA3nzxMQICAsjIyGD+/PnExcWRlpbGHXfcYdW+S5cupkwZGVIQCJuQgkCIVkav15OSksLw4cMtxQBAVFQUgwcP5quvvrJMKywsxGg04uvri6ZaR1ZhhWWeQqlC7dsWt8534H77/6FQO1Oe8T8Kty9H5eGLe0S/BuUxGvRUZf6AW9dYcg1elFfrePHFFxk1ahTTpk3jp59+Qq/XU1NTU28epasnhspSm+SpnUXtE0TmLznMWj2LpKQkdu7cedV9A6Cp1nGpSmVaT5XGJvumNtcOUSg6RDFm3GA8XNQMHTqUUaNG0bNnT1555RW2bt1q1d6cKz8/v9HbEqI+0odAiFYmLy+PyspKunbtWmdeZGRkvcsYjUbOF5RbDbdbsu9TSr/7jIBhL+PZYxAeUXEEPTgDlw7dKNy2rMGP1xkqSjHqqnHybYcR2Lo3nYqKCvz8/CyP9128eJFBgwbx008/AXDhwgVS9qab8hgBFDbJUzsLQNG3q3F2c+f//u//fjvxazRUVVVx+PBhS5ZDhw6Z8vzaB7v64kmb7JsrGYFzBeWWz+Hh4QwbNozU1FT0eut1mrNc2SdEiBslVwiEuIX5+fmhUCgoKiqiRmewmlf2w1e4dOyJ0tnNarp7eF+Kdq5AV3LZcmJtjIfHP0rNpZNW0/bv3w9AQkICAMuWLeODzd/Q9rEFGKo1KN29bZ5HW3gBzY8pVHr5Exsba5menp4OmDrtmbMsW7YM57YRBI58DYCa3Ezcwu60+b4B6hyHkJAQampqKC8vt+olXlRUBGD1OKIQN0OuEAjRygQGBuLm5sapU3VHwDtx4oTVZ7VaTVhYGJmZmTirrX8c6MuLwGh9cgIwGn7t/d7A34KV7t4o1C5oiy4CsG7NKtLT00lPT6d///4A/O1vfwPgP//5DyEhIQwcOJB1a1ahK8sHvQ4n/w42yVM7i76sAIwG9KV5V23v6enJwIEDSU9PN+UpuWzaprbKJvumPlceh7Nnz+Lq6oqnp6fV9MzMTMB0K0gIW5CCQIhWRqVSMXjwYDZv3kxW1m8j8h0/fpyUlJQ67fv168fBgwfp5O9B7YvPTn7tqcr8EX1lqWWa0aCn4uc9KJzdULdp26A8CqUK1853UHnqO2pyTnNv/97ExMTg5uZmGYEvNTUVNzc3Ro4cyT333MPp06Z22pwzALi0j7JJntpZFK4eBI58jY83fMY777yDUmn6cRgdHU1oaCibNm2yZImJifk1z2lAgdq3nU32TW36ihIUQCf/3x5l/Omnn9iyZQsJCQmWfGbp6ekoFAr69Wt8fwUh6iMFgRCt0OzZswGIi4vjzTffJDk5mYEDBxIdHV2n7bBhw8jOzubC+bOE1hq5zzt2FIaqMnL+8zdKvvuM0oP/5fLav1OTcxqf2FEoVL/dccz/ciHn5z2ArvhyvXnaxI0D4PLav9Mr+nYGDRpEbGys5XL3oUOHmDt3Lp6enlZ51JeOoPIOxDk4zGZ5zFnyNs7FsyqXMyd/Jjk52dKfISAgAC8vL4YPH87jjz9OdnY2J0+exMNFDRcO49IhCp+7Rtts35jlbX6T0s2v8/b8N3n//feZMmUKd911F+7u7sybN69O++3bt9O/f3/Lo5tC3CzpQyBEK9SzZ09SUlKYOnUqs2bNokOHDsyePZtLly5ZOsuZDRkyhICAADZs2MDAniNYvf88eoMRz+iBqNy8TZ359n+OoaYCJ78O+A3+C1533Ge1DqO2EoXapc5APWbOQZ25bezrVG5/h7Nnz3Lu3DmMRiM1NTUAfPHFFwwdOtQqzyeffELp8b149RiEQqGwWR7noM4EjZ5D0c4VZG37iJU/hzRo30yaNImSU+n4JjyPhw33jZlnZD9cz6WxYMECSktLCQwMZOTIkSQmJhIeHm7VtqSkhG3btskLjoRNSUEgRCs1YMAADh48aDUtKSmpTjtnZ2cmT57MypUr+WrPRD7ad84yz61Lb9y69L7utqqyM/CK+RNKV8+rtnHuEM23h48THvTbUL9JSUnMnj3bUgzUzvPuu++irSzDp9Zz/bbK4xranbaPv82OKQMsecz7ZteuXXWyrFy5End3d/z9/XGJutumWcw8ew9hx5p/We2fq/nwww/x9/fn4Ycfvm5bIRpKbhkIIZgyZQoajYb01P9HXHgAKmXDH2WryTuPUVeNd+yDV22jUiqICw9o0MnOnKegoIA/DhrEwN9FNGse875JTk4mcdZM7o5q3+A8DcnS2DxarZYFCxYwY8YM3NzcrtteiIaSKwRCCDw9PcnNzQVgwK9vOzSPWHg9zoEdCZ366TXbqJUK3hjR45ptrsyj1WoBLG9fbK48tfcNwJBG5GlIlsbmcXJysuosKoStyBUCIYSVED93Zg+t2/nwZswZGm31qmHJY7s8QtiKvP5YCFGvJamnmL/t5PUbXsdLCZH8ZWD49RtKHiFsrjHnb7llIISo18SBXQnwdCFxyzF0BmODL9mD6Z64WqlgztBoxvQJvf4CkkeIZidXCIQQ15RdWMGrm46w+3S+5dXIV2OeHxcewBsjetjlMrjkEaLhGnP+loJACNEgpy6XsXZ/Fqknc8kqqLB6EZICCPV3Z2BEEONjQxv8NIHkEcK+pCAQQthVebWOcwXl1OgMOKuVdPL3MI3k14x5tu5N5+Hxj7JuzSru7d+72fM40v4Rty7pQyCEsCsPFzXR7XyaO4aFh4uazm2cqLl0ks5tnJr95Oto+0eIhpDHDoUQQgghBYEQQgghpCAQQgghBFIQCCGEEAIpCIQQQgiBFARCCCGEQAoCIYQQQiAFgRCiFSiv1pFZrMW5bQSZxVrKq3XNHUmIFkdGKhRCtEiWoYJP5JJVWM9QwX7uDIwMYlzfULoGy1DB4tYkQxcLIVoteZmQEA3XmPO33DIQQrQY6w9k8ceF/yPtbAHAdV85bJ6fdraAPy78H+sPZNk9oxAtlbzLQAjRIixJPcX8bSdvaFm9wYjeYGT650fI11QzcWBXG6cTouWTKwRCCIej0WgICgpi7dq1gOnKwI0WA1eav+0knzTySoFWqyUkJISlS5faJIMQjkgKAiGEw1m0aBFeXl6MHTuW7MIKErccA6Ay8wdy1rxM1vwHyV44hrxNb6Arvtzo9c/acozswoo605OTk1EoFHTv3t1qupOTE1OnTiU5OZmqqqob+0sJ4eCkIBBCOBStVsuiRYuYMGECKpWKVzcdQWcwUnH6e3I3JGLUaWlzz2N4/X4EVVlHyVn7MvqKkkZtQ2cw8uqmI1bTfvnlF9544w08PDzqXeaJJ54gPz+fdevW3fDfTQhHJgWBEMKhfPnll+Tl5TF69GhOXS5j9+l89AYjxbs+Qt0mmNse+Sfedw6lTf+xBI+di15TRMm+Txu1Db3ByO7T+ZzOLbNMmzZtGrGxsdx55531LtOmTRsSEhL46KOPbuavJ4TDkoJACNEk9uzZQ58+fXB1dSUsLIzly5eTlJSEQqGward582Y6depEWFgYa/dnmR4drCxDm5+Fe0Q/FConS1vn4C44+Xeg4vi3jc6jUipY852pL8G3337LZ599xttvv33NZeLj49mzZw+FhYWN3p4Qjk6eMhBC2N2RI0dISEggMDCQpKQkdDodiYmJBAcH12mblpZGTEwMAKknctEbjBj1WgAUapc67RVOLujzs9BrilB5+jY4k95gJPVkLjP1tzNp0iQmTJhAjx49rrlM7969MRqNpKWl8cADDzR4W0K0BFIQCCHsbtasWRiNRnbv3k1oaCgADz74YJ0TsE6n48yZMwwbNgxNtY6sXzv+qTzaoHTxoPqXDKv2+spStPnZpmU1BY0qCACyCipYtORdzp8/z44dO67bvkuXLgBkZGRIQSBaHbllIISwK71eT0pKCsOHD7cUAwBRUVEMHjzYqm1hYSFGoxFfX1/OF5RbhiNWKJR43nEfVed/omjXR2gLL1Cdc5r8zfMw6k3vLTBqqxudTVdZypykJGbOnElgYOB12/v6mgqO/Pz8Rm9LCEcnBYEQwq7y8vKorKyka9e6gwFFRkbWu4zRaKRGZ7Ca1iZuHJ49Eyjd/zkX//0sOR+9CEoVnr3iAVA6uzU6W/G3q/Fu48ukSZMa1N480vuV/R6EaA3kloEQwmH4+fmhUCgoKirCWW39+4pC5YT//ZNpc/cjaAsvoPLwxcmvPXlb/gUKJWrfto3alrbwApofU5g05x9cvHjRMr2qqgqtVsu5c+fw9vbGz8/PMq+oqAiAgICAm/hbCuGYpCAQQthVYGAgbm5unDp1qs68EydOWH1Wq9WEhYWRmZlJJ38PFMCVbytQefii8jBdujca9FRnHcGlXUSjrxDoywrAaOAfM//OP2b+vc78zp0789e//tXqyYPMzEzAdLtDiNZGCgIhhF2pVCoGDx7M5s2bycrKsvQjOH78OCkpKXXa9+vXj127duHhoibUz53z9YwoaFb6/Sb0mkJ8//hso3M5BXak22NzSB5u3bFxxowZlJWVsWjRIsLCwqzmpaeno1Ao6NevX6O3J4Sjk9cfCyHs7vDhw/Tt25egoCBeeOEFdDodixcvJjg4mMOHD1P7x9DGjRsZNWoUJ06cYN3PWlbvP4/eYERzNJWKE3txDemOwtmVqnM/UfHzbjx7JeB/32Sr7eV/uZDyo9/Q/rkPULep+2gjmMYheKRvR5KGRltNv+eee8jPz+fo0aN1lhkyZAjFxcXs3r3bBntFCPuT1x8LIRxKz549SUlJITAwkFmzZrFy5Upmz57NiBEj6rQdMmQIAQEBbNiwgXF9Qy2vMHbya4ehSkNJ2nqKdvwbbeEv+A3+C3731u0QaNRWolC7oHStfxhiMI1DMD429Krzr1RSUsK2bdt4/PHHG7yMEC2J3DIQQjSJAQMGcPDgQatpSUlJddo5OzszefJkVq5cySuvvEJceABpZwtwaRfJbePmNWhbVdkZeMX8CaWrZ73zVUoFd3XxJzzIq868Xbt21bvMhx9+iL+/Pw8//HCDMgjR0sgVAiGEw5kyZQoajYb169fzxogeqJUNf8yvJu88Rl013rEPXrWNWqngjRHXHpWwNq1Wy4IFC5gxYwZubo1/vFGIlkCuEAghHI6npye5ubmWz7OHRjP98yPXWOI3zoEdCZ167ZcdzRkaTYife4PzODk5kZWV1eD2QrREcoVACOHwxvYJZVpChE3W9VJCJGP6NLzvgBC3CnnKQAjRYqw/kEXilmPoDEZLZ8OGUCkVqJUK5gyNlmJA3FLkKQMhRKs0tk8oO6bczV1d/AHTif5azPPv6uLPjil3SzEgxDVIHwIhRIsS4ufO6qf6cupyGWv3Z5F6MpesggqrEQ0VQKi/OwMjghgfG1rv0wRCCGtyy0AI0eKVV+s4V1BOjc6As1pJJ38PPFzk9x0hGnP+ln8xQogWz8NFTXQ7n+aOIUSLJn0IhBBCCCEFgRBCCCGkIBBCCCEEUhAIIYQQAikIhBBCCIEUBEIIIYRACgIhhBBCIAWBEEIIIZCCQAghhBBIQSCEEEIIpCAQQgghBFIQCCGEEIIGvtzI/ELE0tJSu4YRQgghhO2Yz9sNeLFxwwqCsrIyAEJCQm4ilhBCCCGaQ1lZGT4+134jqMLYgLLBYDBw8eJFvLy8UCgUNgsohBBCCPsxGo2UlZXRrl07lMpr9xJoUEEghBBCiNZNOhUKIYQQQgoCIYQQQkhBIIQQQgikIBBCCCEEUhAIIYQQAikIhBBCCIEUBEIIIYQA/j8x6PXF2tB6NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "naive = NaiveQubitPlacer()\n",
    "\n",
    "placed_c, placement = naive.place_circuit(circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs)\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": "2023-01-17T11:14:47.699347Z",
     "iopub.status.busy": "2023-01-17T11:14:47.698652Z",
     "iopub.status.idle": "2023-01-17T11:14:47.703838Z",
     "shell.execute_reply": "2023-01-17T11:14:47.703109Z"
    },
    "id": "cardiovascular-review"
   },
   "outputs": [],
   "source": [
    "import itertools\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 = {topo: mapping for topo, mapping in placements.items()\n",
    "                  if cirq.is_valid_placement(device_graph, topo.graph, mapping)}\n",
    "    return placements\n"
   ]
  },
  {
   "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": "2023-01-17T11:14:47.707269Z",
     "iopub.status.busy": "2023-01-17T11:14:47.706578Z",
     "iopub.status.idle": "2023-01-17T11:14:47.849268Z",
     "shell.execute_reply": "2023-01-17T11:14:47.848488Z"
    },
    "id": "engaged-harbor"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "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(circuit, problem_topology=topo, shared_rt_info=shared_rt_info, rs=rs)\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": "2023-01-17T11:14:47.852747Z",
     "iopub.status.busy": "2023-01-17T11:14:47.852244Z",
     "iopub.status.idle": "2023-01-17T11:14:49.336414Z",
     "shell.execute_reply": "2023-01-17T11:14:49.335679Z"
    },
    "id": "bizarre-extraction"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "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], \n",
    "                         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": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}