examples/circuits/LCUStatePreparationBox_example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fourier state preparation\n",
    "\n",
    "Here we introduce the Fourier block encoding class and show how it can be used within LCUStatePreparationBox to implement simple linear combinations of Fourier basis elements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from pytket.extensions.qiskit import AerStateBackend\n",
    "from pytket.circuit.display import render_circuit_jupyter\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from mvsp.utils.linalg_utils import get_projector_matrix\n",
    "from mvsp.circuits.lcu_state_preparation.lcu_state_preparation_block_encoding import FourierBlockEncoding\n",
    "from mvsp.circuits.lcu_state_preparation.lcu_state_preparation import LCUStatePreparationBox"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a FourierBlockEncoding for `n_qubits = 5` qubits. The method generate_basis_elements creates a RegisterBox implementing the Fourier element of order `fourier_index` as a block encoding."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_qubits = 5\n",
    "\n",
    "W = FourierBlockEncoding(n_block_qubits=n_qubits)\n",
    "W_box = W.generate_basis_element(basis_index=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We visualise the circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<div style=\"resize: vertical; overflow: auto; height: 400px; display: block\">\n",
       "    <iframe srcdoc=\"\n",
       "&lt;!DOCTYPE html&gt;\n",
       "&lt;html lang=&#34;en&#34;&gt;\n",
       "&lt;head&gt;\n",
       "    &lt;meta charset=&#34;UTF-8&#34;&gt;\n",
       "    &lt;!-- Download Vue 3--&gt;\n",
       "&lt;script type=&#34;application/javascript&#34; src=&#34;https://cdn.jsdelivr.net/npm/vue@3&#34;&gt;&lt;/script&gt;\n",
       "&lt;!-- Download Circuit Renderer with styles --&gt;\n",
       "&lt;script type=&#34;application/javascript&#34; src=&#34;https://unpkg.com/pytket-circuit-renderer@0.8/dist/pytket-circuit-renderer.umd.js&#34;&gt;&lt;/script&gt;\n",
       "&lt;link rel=&#34;stylesheet&#34; href=&#34;https://unpkg.com/pytket-circuit-renderer@0.8/dist/pytket-circuit-renderer.css&#34;&gt;\n",
       "&lt;/head&gt;\n",
       "&lt;body&gt;\n",
       "\n",
       "\n",
       "\n",
       "    &lt;div id=&#34;circuit-display-vue-container-d2d8c712-449d-49c5-9237-61132d5bb7c7&#34; class=&#34;pytket-circuit-display-container&#34;&gt;\n",
       "        &lt;div style=&#34;display: none&#34;&gt;\n",
       "            &lt;div id=&#34;circuit-json-to-display&#34;&gt;{&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;block&#34;, [0]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.516129032258065&#34;], &#34;type&#34;: &#34;Rz&#34;}}, {&#34;args&#34;: [[&#34;block&#34;, [1]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.258064516129032&#34;], &#34;type&#34;: &#34;Rz&#34;}}, {&#34;args&#34;: [[&#34;block&#34;, [2]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.129032258064516&#34;], &#34;type&#34;: &#34;Rz&#34;}}, {&#34;args&#34;: [[&#34;block&#34;, [3]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.0645161290322581&#34;], &#34;type&#34;: &#34;Rz&#34;}}, {&#34;args&#34;: [[&#34;block&#34;, [4]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.032258064516129&#34;], &#34;type&#34;: &#34;Rz&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;block&#34;, [0]], [&#34;block&#34;, [0]]], [[&#34;block&#34;, [1]], [&#34;block&#34;, [1]]], [[&#34;block&#34;, [2]], [&#34;block&#34;, [2]]], [[&#34;block&#34;, [3]], [&#34;block&#34;, [3]]], [[&#34;block&#34;, [4]], [&#34;block&#34;, [4]]]], &#34;name&#34;: &#34;FourierBlockEncoding&#34;, &#34;phase&#34;: &#34;0.5&#34;, &#34;qubits&#34;: [[&#34;block&#34;, [0]], [&#34;block&#34;, [1]], [&#34;block&#34;, [2]], [&#34;block&#34;, [3]], [&#34;block&#34;, [4]]]}&lt;/div&gt;\n",
       "        &lt;/div&gt;\n",
       "        &lt;circuit-display-container\n",
       "                :circuit-element-str=&#34;&#39;#circuit-json-to-display&#39;&#34;\n",
       "                :init-render-options=&#34;initRenderOptions&#34;\n",
       "        &gt;&lt;/circuit-display-container&gt;\n",
       "    &lt;/div&gt;\n",
       "    &lt;script type=&#34;application/javascript&#34;&gt;\n",
       "      const circuitRendererUid = &#34;d2d8c712-449d-49c5-9237-61132d5bb7c7&#34;;\n",
       "      const displayOptions = JSON.parse(&#39;{}&#39;);\n",
       "\n",
       "      // Script to initialise the circuit renderer app\n",
       "\n",
       "const { createApp } = Vue;\n",
       "const circuitDisplayContainer = window[&#34;pytket-circuit-renderer&#34;].default;\n",
       "// Init variables to be shared between circuit display instances\n",
       "if (typeof window.pytketCircuitDisplays === &#34;undefined&#34;) {\n",
       "    window.pytketCircuitDisplays = {};\n",
       "}\n",
       "// Create the root Vue component\n",
       "const app = createApp({\n",
       "    delimiters: [&#39;[[#&#39;, &#39;#]]&#39;],\n",
       "    components: { circuitDisplayContainer },\n",
       "    data () {\n",
       "      return {\n",
       "        initRenderOptions: displayOptions,\n",
       "      }\n",
       "    }\n",
       "})\n",
       "app.config.unwrapInjectedRef = true;\n",
       "app.mount(&#34;#circuit-display-vue-container-&#34;+circuitRendererUid);\n",
       "window.pytketCircuitDisplays[circuitRendererUid] = app;\n",
       "    &lt;/script&gt;\n",
       "\n",
       "\n",
       "\n",
       "&lt;/body&gt;\n",
       "&lt;/html&gt;\n",
       "\"\n",
       "            width=\"100%\" height=\"100%\"\n",
       "            style=\"border: none; outline: none; overflow: auto\"></iframe>\n",
       "</div>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "render_circuit_jupyter(W_box.reg_circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create the first five Fourier elements and plot them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_block_encoding(state_qubits, index=1):\n",
    "    n_state_qubits = len(state_qubits)\n",
    "    \n",
    "    W_box = FourierBlockEncoding(n_block_qubits=n_state_qubits).generate_basis_element(basis_index=index)\n",
    "    unitary = W_box.get_circuit().get_unitary()    \n",
    "    \n",
    "    return unitary.diagonal()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[QubitRegister(\"block\", 5)]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "W_box.q_registers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "state_qubits = W_box.q_registers[0]\n",
    "\n",
    "evaluations = []\n",
    "for i in range(5):\n",
    "    evaluations.append(evaluate_block_encoding(state_qubits, i))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for eval in evaluations:\n",
    "    plt.plot(np.linspace(0,1,len(eval.real)), eval.real)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for eval in evaluations:\n",
    "    plt.plot(np.linspace(0,1,len(eval.imag)), eval.imag)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full state preparation circuit\n",
    "\n",
    "Here we use the Fourier block encoding in combination with the LCUStatePreparationBox to prepare a simple linear combination of Fourier elements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_qubits = 8\n",
    "\n",
    "W = FourierBlockEncoding(n_block_qubits=n_qubits)\n",
    "\n",
    "dims_fourier_variables = (8,)\n",
    "dims_variables = (2**n_qubits,)\n",
    "\n",
    "coeffs = np.zeros(4)\n",
    "coeffs[1] = 0.5\n",
    "coeffs[3] = 0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "lcuspbox = LCUStatePreparationBox(\n",
    "    coeffs,\n",
    "    [W],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The circuit looks like..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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&#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [5]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [6]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [7]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]]], &#34;name&#34;: &#34;DiagonalBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]]}, &#34;id&#34;: &#34;ca8d0b22-1edd-421b-a580-b0541df295f8&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [1]], [&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [7]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]]], &#34;op&#34;: {&#34;box&#34;: {&#34;control_state&#34;: 1, &#34;id&#34;: &#34;9decf03a-172b-4a72-91f2-f74d7c752ef8&#34;, &#34;n_controls&#34;: 1, &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;params&#34;: [&#34;0.501960784313725&#34;], &#34;type&#34;: &#34;Rz&#34;}}, {&#34;args&#34;: 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&#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]]], &#34;name&#34;: &#34;FourierBlockEncoding&#34;, &#34;phase&#34;: &#34;0.5&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]]]}, &#34;id&#34;: &#34;6dec9bf7-eed9-4b59-8f0f-538e814681c4&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;QControlBox&#34;}, &#34;type&#34;: &#34;QControlBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, 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{&#34;params&#34;: [&#34;-1.0&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;2c70dd0c-08a3-473d-b8b5-81074c5afbbe&#34;, &#34;op_map&#34;: [[[], {&#34;params&#34;: [&#34;-0.553300379038114&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]]], &#34;name&#34;: &#34;StatePreparationBox\\u2020&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]]}, &#34;id&#34;: &#34;4c44d7ec-1dcb-428f-814a-b6ef37836ee3&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], 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[&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [7]]]}&lt;/div&gt;\n",
       "        &lt;/div&gt;\n",
       "        &lt;circuit-display-container\n",
       "                :circuit-element-str=&#34;&#39;#circuit-json-to-display&#39;&#34;\n",
       "                :init-render-options=&#34;initRenderOptions&#34;\n",
       "        &gt;&lt;/circuit-display-container&gt;\n",
       "    &lt;/div&gt;\n",
       "    &lt;script type=&#34;application/javascript&#34;&gt;\n",
       "      const circuitRendererUid = &#34;81f65fe9-5f28-43c8-b5d3-8dcce4716fe1&#34;;\n",
       "      const displayOptions = JSON.parse(&#39;{}&#39;);\n",
       "\n",
       "      // Script to initialise the circuit renderer app\n",
       "\n",
       "const { createApp } = Vue;\n",
       "const circuitDisplayContainer = window[&#34;pytket-circuit-renderer&#34;].default;\n",
       "// Init variables to be shared between circuit display instances\n",
       "if (typeof window.pytketCircuitDisplays === &#34;undefined&#34;) {\n",
       "    window.pytketCircuitDisplays = {};\n",
       "}\n",
       "// Create the root Vue component\n",
       "const app = createApp({\n",
       "    delimiters: [&#39;[[#&#39;, &#39;#]]&#39;],\n",
       "    components: { circuitDisplayContainer },\n",
       "    data () {\n",
       "      return {\n",
       "        initRenderOptions: displayOptions,\n",
       "      }\n",
       "    }\n",
       "})\n",
       "app.config.unwrapInjectedRef = true;\n",
       "app.mount(&#34;#circuit-display-vue-container-&#34;+circuitRendererUid);\n",
       "window.pytketCircuitDisplays[circuitRendererUid] = app;\n",
       "    &lt;/script&gt;\n",
       "\n",
       "\n",
       "\n",
       "&lt;/body&gt;\n",
       "&lt;/html&gt;\n",
       "\"\n",
       "            width=\"100%\" height=\"100%\"\n",
       "            style=\"border: none; outline: none; overflow: auto\"></iframe>\n",
       "</div>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "render_circuit_jupyter(lcuspbox.reg_circuit)"
   ]
  },
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   "metadata": {},
   "source": [
    "We get the statevector from noiseless simulation and projecting to the all-zero state in the ancilla registers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = AerStateBackend()\n",
    "circ_compiled = backend.get_compiled_circuit(lcuspbox.get_circuit(), optimisation_level=0)\n",
    "vec = backend.run_circuit(circ_compiled).get_state()\n",
    "\n",
    "n_qubits_state = lcuspbox.n_qubits_state[0]\n",
    "n_qubits_fourier = lcuspbox.n_qubits_coeffs[0]\n",
    "\n",
    "projector = np.array(get_projector_matrix(list(range(n_qubits_fourier)), list(range(n_qubits_fourier, n_qubits_fourier + n_qubits_state))))\n",
    "vec_projected = projector.transpose() @ vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x168a7a3f0>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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X83ycBpr183GsPpiBOzp4YsX4CLHjEBGRHWnI72+ru4qKxDX5jjaQSoBdyZdw4oJe7DhERER1YsGhBgl0d8KDYb4AatbFISIiskQsONRgU+5sA4kE+ONkDlJyi8SOQ0REdB0WHGqwtl4uuKdjzUniX+0+J3IaIiKi67HgUKM8NaANAGD90Uxc1JeJnIaIiKg2FhxqlO4BLRDRyg2GagHL96aJHYeIiKgWFhxqtKcHtAYArDqQDn2ZQeQ0RERE/2DBoUa7s4MXOni7oLiiCisPnBc7DhERkQkLDjWaRCLBpP41R3GW/Z2GckO1yImIiIhqsODQbXkgzAc+WjXyiivwy5FMseMQEREBYMGh26SQSfFE31YAgCV/nUO10e7u/EFERBaIBYdu28iIAGgdFEjNK8GfJ7PFjkNERMSCQ7fPSSXH6F6BAIDFu8/CDu/fSkREFoYFh5rEuD5BUMqlOHZBj/3n8sWOQ0REdo4Fh5qEh7MKD4f7AQCW/s3bNxARkbhYcKjJTLh6svG2xFycu1QschoiIrJnLDjUZNp4OiM6xAsAsPTvVJHTEBGRPWPBoSY1oW/Nwn8/H76A/JJKkdMQEZG9YsGhJtWrtRs6+WhQbjBiFW/fQEREImHBoSYlkUgwsV/NUZxvY8+jooq3byAioubHgkNNbnCXltBp1LhUVIENR7PEjkNERHaIBYeanEImxbg+QQBqTjbmwn9ERNTcWHDILEb2DICjUoak7CLsTbksdhwiIrIzLDhkFlpHBR7t4Q8A+HoPF/4jIqLmxYJDZvNEn1aQSIDdpy/hdE6R2HGIiMiOsOCQ2QS4OyKmow4AsIwL/xERUTNiwSGzmti/5vYN645k4lJRhchpiIjIXrDgkFl1D2iBMH9XVFYZ8f1+LvxHRETNgwWHzEoikeDJfjVHcb7ffx7lBi78R0RE5seCQ2Y3qJMOvq4OuFxSiV+OZIodh4iI7AALDpmdXCbF+KsL/y3fy4X/iIjI/FhwqFk82tMfTkoZTucUY8+ZPLHjEBGRjWPBoWahUSvwaM+ahf+W8pJxIiIyMxYcajbje/+z8F9KLhf+IyIi85GLHYDsR4C7I+4O8cafp3KwbG8a3n0oVOxIRFbNaBRw9lIxTl0sxNlLJcgqKIO+zICyympIpRKo5VK4O6vgo1WjnbczOvlo4dfCARKJROzoRGbHgkPNakLfVvjzVA7WHb6Amfd0QAsnpdiRiKxKQWkltiXmYuupbOw/lw99maFB+/to1ejf3hMxnXTo284DChkP5JNtYsGhZhXRyg2dfTVIyCzEqrh0TLmzrdiRiKzCsYwCfLsvDRuPX0RltdG03VEpQ8eWGrTzdoavqwPcnFRwUEphNAJlhmpcKqpAxpVSnM4pQtLFImTpy7H6YAZWH8yAh7MSQ7v7YWzvIPi6Oog4O6KmJxHs8JrdwsJCaLVa6PV6aDQasePYnXWHL2DGT8fgrVFhz3/vglLOvyCJ6iIIAv48lYPFu8/iSHqBaXsHbxcM6qzDHR08EeqrhbyeR2FKK6twKO0KtiXmYNOJbOQV19w+RS6V4IEwH0yPbg9/N0dzTIWoSTTk9zcLDgtOs6usMqLvezuQW1SBT4aHYUg3X7EjEVmcoxkFePf3RMSl5QMAFDIJ7u/ig7G9gxDm73rbz2+oNmJX8iUs35uKfWcvmz7H2KggzLinPRyVPMBPlocF5xZYcMS3cMcZLPjzNEJ9tdgwtQ9PeiS66lJRBd7+/RR+PZoFAFArpJjQtxXG9W4FTxeVWT7nsYwCLPgz2bRGlV8LB7zzUCgGtPc0y+cjaiwWnFtgwRFffkklouZtR0WVET89FYWIVm5iRyIS3e/HL+LV9SdwpdQAiQQY2s0PL8a0R0tt85wfszMpF6+uT0BmQRkAYGg3X7z+YCdo1Ipm+fxEt9KQ3988+YFE4eakxNDuNW9NLePCf2TnCkorMe2HI5iy6jCulBrQsaUGv03tiw8f7dps5QYA7gz2wp/T+2N8nyBIJMC6I5l44PO/kZzNdavI+rDgkGie6FNzl/E/T2UjI79U5DRE4jhxQY/7Pt2D345lQSaV4Nm72mL9lD7o7KsVJY+TSo65/+mEnyf3hq+rA9Iul2LIor349ShvlEvWpVkKzqJFixAUFAS1Wo3IyEjExcXddPyaNWsQHBwMtVqN0NBQbNq0yfQxg8GAl156CaGhoXBycoKPjw/GjBmDrKwsc0+Dmlg7bxf0b+8JowAs35smdhyiZvdz/AUMW7wPWfpyBLk74ufJvTHjng4WcWVh94AW+G1aX/Rr54EyQzWeW30Ub288BaPR7s5qICtl9u+iH3/8ETNmzMDcuXNx+PBhdO3aFTExMcjNza1z/L59+zBy5EhMmDABR44cwZAhQzBkyBAkJCQAAEpLS3H48GG89tprOHz4MNatW4fk5GQ88MAD5p4KmcGEvjVHcX46lIGi8oYtWEZkraqqjXh9w0m8sOYYKquMGBjshV+n9m2Sq6OakpuTEivGR2DKnW0AAN/8nYoZPx2F4V/r8BBZKrOfZBwZGYmePXti4cKFAACj0Qh/f39MmzYNs2bNum788OHDUVJSgo0bN5q29erVC2FhYVi8eHGdn+PgwYOIiIjA+fPnERAQcMtMPMnYcgiCgLs//gspucV47f6OpsJDZKvKKqsxddVhbE+q+SPv2YHt8PzAdpBKLftKwvVHMvHimmOoMgq4K9gLix7rDgelTOxYZGcs5iTjyspKxMfHIzo6+p9PKJUiOjoasbGxde4TGxtbazwAxMTE3HA8AOj1ekgkEri6utb58YqKChQWFtZ6kGWQSCSmc3FW7EtFNQ9/kw3TlxoweukBbE/KhUouxeLHwzHj7vYWX24AYEg3XywZEw6VXIodSbkYs+wACnnUlSyYWQtOXl4eqqur4e3tXWu7t7c3srOz69wnOzu7QePLy8vx0ksvYeTIkTdsc/PmzYNWqzU9/P39GzEbMpeh3X3RwlGBjPwybD1V9+tMZO2y9eV45Kt9OHT+CjRqOVY+GYlBnXVix2qQu4K98f2TkXBRy3Ew7QomrDiIsspqsWMR1Un8M9lug8FgwKOPPgpBEPDll1/ecNzs2bOh1+tNj4yMjGZMSbeiVsgwKjIQALCUl4yTDcosKMPDi/fhdE4xvDUqrHm6N3oEWefaTz2D3PDDxF6mkvPU9/GoqGLJIctj1oLj4eEBmUyGnJycWttzcnKg09X9l4tOp6vX+Gvl5vz589i6detN34tTqVTQaDS1HmRZRkcFQiGT4GDaFRy/UCB2HKImc1FfhpFL9uPClTLTlVIddC5ix7otnX21WDG+JxwUMvx1+hKeX30UVTzxmCyMWQuOUqlEeHg4tm/fbtpmNBqxfft2REVF1blPVFRUrfEAsHXr1lrjr5WbM2fOYNu2bXB3dzfPBKjZeGvUuL+LDwAu/Ee2I6ewHCOX7Ed6fikC3Bzxw6Re8GthGzezDA90w9djekApk2JzQjZmrzsBO1wYnyyY2d+imjFjBr7++mt8++23SExMxOTJk1FSUoLx48cDAMaMGYPZs2ebxj/33HPYsmULPvzwQyQlJeH111/HoUOHMHXqVAA15ebhhx/GoUOHsHLlSlRXVyM7OxvZ2dmorKw093TIjK6dbLzx+EVk68tFTkN0e3KLaspN2uVS+LVwwA+TejXrqsTNoW87D3z+WDfIpBKsib+AL3adFTsSkYnZC87w4cOxYMECzJkzB2FhYTh69Ci2bNliOpE4PT0dFy9eNI3v3bs3Vq1ahSVLlqBr165Yu3Yt1q9fj86dOwMAMjMzsWHDBly4cAFhYWFo2bKl6bFv3z5zT4fMKNRPi4ggN1QZBXwXmyZ2HKJGKyo3YNyygziXVwJfVwf8MLEXfF1tq9xcE9NJh9cf6AQA+OCPZGxJuHiLPYiaB2+2yfNxLMqWhGw8/X08XB0ViJ01kOtskNWpqKrGEysOYm/KZXg4K/Hz5N4IdHcSO5bZvb7hJFbsS4ODQoY1T0eJdqsJsm0Wsw4OUUPd3dEbAW6OKCg1YN2RC2LHIWoQo1HAi2uOY2/KZTgpZVg+LsIuyg0AvDo4xHRbh4nfHUJuId9mJnGx4JBFkUklGNc7CEDNyca87w1Zk3c2JeK3Y1mQSyVYPDocoX72cxRDLpNi4WPd0cbTCRf15Zi66givrCJRseCQxXmkhx+cVXKcvVSC3WcuiR2HqF5WHjhvWsdpwSNd0a+dp8iJmp/WQYFvxvaEs0qOuLR8fLT1tNiRyI6x4JDFcVErMLxnzWrTvGScrMG+lDzM/fUkAGBmTAcM6eYrciLxtPJwwvxhoQCAL3adxc7kum+sTGRuLDhkkcb1DoJUAuw5k4fTOUVixyG6odS8EkxeeRhVRgFDwnzwzB1txI4kuvu7+GB0r5rVyWf8eBRZBWUiJyJ7xIJDFsnfzRExnWpWr+ZRHLJU+jIDJnx7EPoyA8L8XTF/WBdIJJZ/48zm8Or9IQj11eJKqQHTfuD5ONT8WHDIYj3Rt2bhv3VHMnG5uELkNES1GY0Cpv94FOculaClVo0lY8KhVnBZg2tUchkWPdYdLmo54s9fweLdXASQmhcLDlmsHoEt0MVPi8oqI1YdSBc7DlEtC3emYEdSLlRyKb4e0wNeLmqxI1mcAHdHvPlgzSKAn2w7g4RMvciJyJ6w4JDFkkgkmHD1KM53+8/zjsVkMXYl5+LjbTVXCL09pDMXtbuJIWG+uLezDlVXj3iVG/h9TM2DBYcs2n2hLeGtUeFSUQU2HuMS8CS+jPxSPLf6KAQBeCwyAI/08Bc7kkWTSCR456FQeDircCa3GB/8kSx2JLITLDhk0RQyKcZEBQEAlv6dyrsVk6gqqqoxeWU89GUGdPXTYu5/OoodySq4OSnx/sM1l44v/TsV+87miZyI7AELDlm8UZEBUCukOHWxEAdS88WOQ3Zs3qYkJGQWooWjAl88Hg6VnCcV19ddwd4YGVFztGv2uhMoq+RbVWReLDhk8VwdlRjW3Q8ATCvFEjW3badysGJfGgDgw0e72uzdwc3p5ftCoNOocf5yKT7ZzlWOybxYcMgqjO9Tc7LxtsQcpOWViJyG7M1FfRlmrj0GAJjQtxXuCvYWOZF1clEr8NaQzgCAb/ak8qoqMisWHLIKbb2ccUcHTwgCTH9FEzWHaqOA51cfxZVSAzr7avDfQR3EjmTV7u7ojcGhLVFtFDBr3XEuAEhmw4JDVuPaJeM/HcqAvswgchqyFwt3pOBAaj6clDJ8PrI7z7tpAnMf6AiNWo6EzEIs35smdhyyUSw4ZDX6tvVAe29nlFZW46eDGWLHITsQl5qPT6+eK/L2Q53RysNJ5ES2wctFjVcGhwAAPtyajAtXSkVORLaIBYeshkQiwRNXz8VZsS+Nh7bJrApKK/H86iMwCsDQ7r54qJuf2JFsyqM9/BHRyg3lBiPe3pgodhyyQSw4ZFWGdPOFm5MSmQVl+ONkjthxyIa9uj4BWfpytPJwwlsPdhY7js2RSCR488FOkEkl2HIyG3+dviR2JLIxLDhkVdQKGR6PDAAALNvLS8bJPDYcy8LG4xchk0rwyfAwOKnkYkeyScE6DcZEBQIAXt9wEpVVPCpLTYcFh6zO41GBUMgkiD9/BUczCsSOQzYmW1+OV385AQCYdldbdPV3FTeQjZt+d3t4OKtwLq+E61xRk2LBIavj5aLGf7r6AODCf9S0BEHAzLXHUFheha5+Wky5s63YkWyeRq3A7HuDAQCf7ziDi/oykRORrWDBIat07ZLxTScuIquAPxCpaXy//zz2nMmDSi7Fh4+GQSHjj8jm8FA3X4QHtkBpZTXmbUoSOw7ZCH73klXq5KNFr9ZuqDYK+C72vNhxyAacu1SMdzbVXM0z695gtPVyFjmR/ZBKJXjjgU6QSGrOfzqcfkXsSGQDWHDIak3o2xoA8ENcOkorq0ROQ9asqtqIGT8dQ7nBiD5t3TH26h3sqfl09tWa7jn39sZTEARB5ERk7VhwyGrdFeyFQHdH6MsM+Dn+gthxyIot3n0WRzMK4KKW44OHu0IqlYgdyS69eE8HOChkOJxegE0nssWOQ1aOBYeslkwqwfjeQQCAZXvTYDTyLz5quDM5RfhsewoA4I0HOsGHdwkXjU6rxlMDao7Mzt+SiHJDtciJyJqx4JBVe6SHP1zUcqTmlWBncq7YccjKVBsFvPTzcVRWG3FXsBce6uYrdiS7N6l/a3hrVMjIL8O3vLEu3QYWHLJqTio5HouoWfjvq93nRE5D1ua72DQcTi+As0qOt4d0hkTCt6bE5qiUY2ZMzWXjC3ek4HJxhciJyFqx4JDVG9+nFRQyCeLS8hF/nldfUP1k5Jfi/S3JAGqumuJbU5ZjaDdfdPLRoKiiCl/sOit2HLJSLDhk9XRatemthcW7+cOQbk0QBLz8ywmUGaoR0crNdBSQLINUKsFLg2qO4vxf7HnebZwahQWHbMKk/m0gkQBbT+UgJbdI7Dhk4dbEXzAt6Dd/aCivmrJA/dp5IKq1Oyqrjfhk2xmx45AVYsEhm9DWyxl3h3gD4Lk4dHO5heV4e+MpADX3QWrtyQX9LJFEIsF/B3UAAKw7fAGnc/iHCzUMCw7ZjKfvaAMAWH80k/ezoRua8+tJFJZXIdRXiyev3vKDLFO3gBYY1EkHowB88Eey2HHIyrDgkM3oHtACEa3cYKgWsIw34aQ6bD5xEVtOZkMuleC9YV0g572mLN6LMe0hvfr2c/z5fLHjkBXhdzfZlMkDao7irDqQDn2pQeQ0ZEkKSivx2q8nAQCT72iDjj4akRNRfbT1csHD4TW3cOBRHGoIFhyyKXd08ESwzgUlldX4/gBvwkn/ePv3ROQVV6CNpxOm3tVW7DjUAM9Ft4dCJsH+c/mIPXtZ7DhkJVhwyKZIJBLTUu/L96ZyqXcCAPx1+hLWxl+ARAK8/3AXqOQysSNRA/i6OmBEz5pL+T/edpo34qR6YcEhm3N/Fx/4ujogr7gSPx/mTTjtXUlFFWavOwEAGBsVhPBAN5ETUWM8c2cbKGVSxKXyKA7VDwsO2RyFTIon+9VcHbN491lUVRtFTkRi+uCPZGQWlMHX1QEzYzqIHYcaqaXWASMj/AHwKA7VDwsO2aQRPQPg7qRERn4Zfj2aJXYcEkn8+Xx8G5sGAJg3NBROKrm4gei2PHNnWyjlUhxMu4K9KTyKQzfHgkM2yUEpw5P9as7FWbQrBdVG/rVnb8oN1fjv2uMQBODhcD/0b+8pdiS6Td4atem2Gh9tTeZRHLqpZik4ixYtQlBQENRqNSIjIxEXF3fT8WvWrEFwcDDUajVCQ0OxadOmWh8XBAFz5sxBy5Yt4eDggOjoaJw5w6W8qbbRUYHQOihw7lIJNidcFDsONbNFO1Nw9lIJPJxVeHVwiNhxqIk8c0cbqORSHE4vwF9n8sSOQxbM7AXnxx9/xIwZMzB37lwcPnwYXbt2RUxMDHJzc+scv2/fPowcORITJkzAkSNHMGTIEAwZMgQJCQmmMe+//z4+++wzLF68GAcOHICTkxNiYmJQXl5u7umQFXFWyfFEn5pzcRbuSIGRR3HsxqmsQnx59S7Ubz3YCa6OSpETUVPx0qjxeK9AAMDHW3kuDt2YRDDzv47IyEj07NkTCxcuBAAYjUb4+/tj2rRpmDVr1nXjhw8fjpKSEmzcuNG0rVevXggLC8PixYshCAJ8fHzwwgsv4MUXXwQA6PV6eHt7Y8WKFRgxYsQtMxUWFkKr1UKv10Oj4WJftkxfakCf93aguKIKS0aH455OOrEjkZlVVRvx0Bf7cCJTj0GddFg8OlzsSNTELhVVoN/7O1BuMGL5+J64s4OX2JGomTTk97dZj+BUVlYiPj4e0dHR/3xCqRTR0dGIjY2tc5/Y2Nha4wEgJibGND41NRXZ2dm1xmi1WkRGRt7wOSsqKlBYWFjrQfZB66jA2N41f+19viOFf+3ZgW/+TsWJTD00ajnefLCT2HHIDDxdVBh99SjOJzyKQzdg1oKTl5eH6upqeHt719ru7e2N7OzsOvfJzs6+6fhr/9uQ55w3bx60Wq3p4e/v36j5kHV6ok8rOChkOJGpx+7Tl8SOQ2Z07lIxPt56GgDw6v0d4aVRi5yIzOWpAW3goJDh2AU99vBcHKqDXVxFNXv2bOj1etMjIyND7EjUjNydVRgVWXPlBY/i2C6jUcCsdSdQUWVE37YeeOTq/YvINnk4qzDy6hVVi3amiJyGLJFZC46HhwdkMhlycnJqbc/JyYFOV/e5EDqd7qbjr/1vQ55TpVJBo9HUepB9mdS/NZRyKeLPX0HsOa6fYYtWxaUjLjUfDgoZ5g0NhUQiETsSmdmk/q2hkElwIDUfh9J4p3GqzawFR6lUIjw8HNu3bzdtMxqN2L59O6KiourcJyoqqtZ4ANi6datpfKtWraDT6WqNKSwsxIEDB274nEReGjVG9Kx5a/Lz7fxrz9ZkFZRh/uYkAMDMmA7wd3MUORE1B51WbbrTOI/i0P8y+1tUM2bMwNdff41vv/0WiYmJmDx5MkpKSjB+/HgAwJgxYzB79mzT+Oeeew5btmzBhx9+iKSkJLz++us4dOgQpk6dCqDmZorPP/883n77bWzYsAEnTpzAmDFj4OPjgyFDhph7OmTFnhrQBgqZBLHnLmM/j+LYDEEQ8Or6BBRXVKF7gCvG9g4SOxI1o6f6t4FUAuxMvoSTWXqx45AFMXvBGT58OBYsWIA5c+YgLCwMR48exZYtW0wnCaenp+PixX8WYevduzdWrVqFJUuWoGvXrli7di3Wr1+Pzp07m8b897//xbRp0zBp0iT07NkTxcXF2LJlC9RqnlBIN+br6oDhV4/ifPQnr7ywFRuOZWFHUi6UMineG9YFMinfmrInQR5OuL+LDwDgi51nRU5DlsTs6+BYIq6DY7+y9eXo/8FOVFYZ8d0TEVy+38pdLq5A9Ee7caXUgBfubo9pA9uJHYlEkJRdiEGf7IFEAmybMQBtPJ3FjkRmYjHr4BBZGp1WbVo/48M/eS8ba/fGb6dwpdSAYJ0LnhrQRuw4JJJgnQbRId4QBJhWsCZiwSG7M/mOf9bP2JZY9y1DyPJtO5WDDceyIJUA7z/cBUo5f5zZs2furCm4649k4sKVUpHTkCXgTwSyOx7OKozvEwSg5igO71FlfQrLDXh1fc396Sb2a40ufq7iBiLRdQ9ogd5t3FFlFPD1X+fEjkMWgAWH7NKk/q3hopIjKbsIm3incavz7u+JyC4sR5C7I56Pbi92HLIQU+9sCwBYfTADuUW8+bK9Y8Ehu+TqqMST/VoDqLkjcTWP4liNPWcuYfXBmtXI3xvWBQ5KmciJyFJEtXFHmL8rKqqM+HZfmthxSGQsOGS3nugbBFdHBc5eKsGvRzPFjkP1UFxRhVk/nwAAjIkKRGRrd5ETkSWRSCR4ekDNHy7f709HSUWVyIlITCw4ZLdc1Ao81b/mxMRPtp2BodoociK6lfc2JyGzoAx+LRzw0qBgseOQBbq7ow5B7o7Qlxnw40Hed9CeseCQXRvbOxAezkqk55ea3vYgyxR79jL+b/95ADVvTTmp5CInIkskk0pMbz8v/TsVVfzDxW6x4JBdc1TKMe2umsXhPt12GsU8pG2RSiur8NLPxwEAIyP80aeth8iJyJI9HO4HdyclMgvK8PsJXkRgr1hwyO6NjAhAkLsj8ooreXmphVrwx2mk55eipVaN2feFiB2HLJxaIcOYqCAAwNd7znFBTzvFgkN2TymX4r9Xz+f4es855Bby8lJLEn8+H8v3pQIA3h0aCo1aIXIisgajowKhVkiRkFmI2LO8ua49YsEhAnBvZx3C/F1RWlmNT7afETsOXVVuqMbMtcchCMCw7n64s4OX2JHISrg5KfFIeM3Ndb/ikVm7xIJDhJrLS1+++tbHjwczkJJbJHIiAoCPt53GuUsl8HJRYc79HcWOQ1bmyX6tIJUAu09fQlJ2odhxqJmx4BBdFdHKDXd39Ea1UcD8zclix7F7R9KvmM6JeuehUGgd+dYUNUyguxMGddYBAJbwKI7dYcEh+peXBgVDJpVgW2IO/j6TJ3Ycu1VaWYUZPx2DUQAeDPPB3R29xY5EVmrS1bWuNhzNwkV9mchpqDmx4BD9S1svZ4zuFQgAeHPjSa6hIZL5m5OQmlcCnUaNNx/oLHYcsmJh/q6IaOWGKqOAFXvTxI5DzYgFh+h/TI9ujxaOCpzOKcaquHSx49idv05fwnexNQv6ffBIF741Rbftqf41C/+tOpCOonKDyGmoubDgEP0PraMCM+7pAAD48M/TuFJSKXIi+6EvNWDm2mMAgLFRgejXzlPkRGQL7uzghbZeziiqqMIP/KPFbrDgENVhZE9/BOtcoC8z4ONtp8WOYzde+zUBOYUVaO3hhFn3ckE/ahpSqQSTrt6+Ydnfaais4lvP9oAFh6gOcpnUdFny9/vP8xLTZvDbsSxsOJYFmVSCj4aHwUEpEzsS2ZAHu/nA00WF7MJybDyeJXYcagYsOEQ30LutBwZ10sEoAK+tT4DRyOXezSWnsByv/ZoAAJhyRxuE+buKG4hsjkouw7jeQQBqbsLJ2zfYPhYcopt47T8d4aiU4WDaFayNvyB2HJtkNAqY8dNRFJQa0NlXg2kD24kdiWzUYxEBUCukOJlViAOp+WLHITNjwSG6CV9XB0yPbg8AeHdzIvJ5wnGT+3L3WexNuQwHhQyfDO8GhYw/lsg8WjgpMbS7H4Caozhk2/iThOgWxvUJQrDOBQWlBszfnCh2HJsSf/4KPtpacxL3Gw90QlsvZ5ETka17ok8QAGBbYg7OXy4RNwyZFQsO0S0oZFK881DNYnM/HbqAOB7abhL6MgOe/eEIqo0CHujqg0d6+IkdiexAWy8XDGjvCUEAlnPhP5vGgkNUD+GBbhgZUXNn4ld+OYGKqmqRE1k3QRAwe91xZBaUIcDNEe881BkSiUTsWGQnJvRtBQBYcygDhVz4z2ax4BDV00uDguHhrMSZ3GJ8vj1F7DhW7Ye4DGw6kQ25VILPRnaDi5qrFVPz6dfOA+29nVFSWY0f4zLEjkNmwoJDVE+ujkq8PaTmraovd5/FiQt6kRNZp9M5RXjjt5MAgJkxHXhJODU7iUSCJ/rUHMVZsS+N95yzUSw4RA0wqHNL3N+lJaqNAmauPcYVURuopKIKU1YeRkWVEf3be2Li1dVliZrbkG6+cHNSIrOgDH+eyhE7DpkBCw5RA73xQCe4OymRlF2EhTv5VlV9CYKAl34+jjO5xfByUeHDR7pCKuV5NyQOtUKGUZEBAHjJuK1iwSFqIHdnFd66+lbVFztTkJDJt6rqY9neNGw8fhFyqQRfjOoOTxeV2JHIzo3uFQiFTIL481dwNKNA7DjUxFhwiBrhvtCWGBzaElVGAc+tPoLSyiqxI1m0uNR8vLupZg2hVweHoEeQm8iJiAAvjRr/6eoDgEdxbBELDlEjvT2kM7w1Kpy9VIK3Np4SO47Fyiksx5RVh1FtFPBgmA/GXr0fEJEluHbJ+KYTF5FVUCZyGmpKLDhEjdTCSYmPh4dBIqm57HnziYtiR7I45YZqTPruEC4VVaCDtwvmDQ3lejdkUTr5aNGrtRuqjQK+iz0vdhxqQiw4RLehdxsPTB7QBgAwa90J/gX4L4Ig4MU1x3Dsgh6ujgosGRMOR6Vc7FhE17l2yfgPcel8u9mGsOAQ3abpd7dHV39X6MsMeH71Ua6pcdVn21NMJxUvfjwcge5OYkciqtPAEG8EujtCX2bAz/EXxI5DTYQFh+g2KWRSfDYiDM4qOeLS8jFvc5LYkUT3+/GL+HhbzU003x7SGb1au4uciOjGZFIJxl89N2zZ3jQYjYK4gahJsOAQNYFAdycseKQrgJqrMX49milyIvEcTMvHjJ+OAqg59D8iIkDcQET18EgPf7io5UjNK8Gu07lix6EmwIJD1EQGddZhyp015+O89PNxnMoqFDlR8zudU4QJKw6iosqI6BAvvHxfsNiRiOrFSSXHyAgu/GdLWHCImtCMuzugf3tPlBuMeOr7Q7hSUil2pGaTVVCGscviUFhehe4Brvh8ZHfIZfwRQ9ZjTFQgpBJgb8plJF60vz9QbA1/+hA1IZlUgs9GhCHAzREZ+WV46vt4lBuqxY5ldgWllRi7LA4X9eVo6+WMpWN7wkEpEzsWUYP4tXDEvZ1bAgCW7+VRHGvHgkPUxFwdlVgyJhwuKjniUvPxwppjNn3Sor7MgNFL43AmtxjeGhW+fSICLZyUYsciapQnri78t/5oFvKKK0ROQ7eDBYfIDIJ1Gnw1OhwKmQS/H79ouk2BrSksN2DMsjicyNTDzUmJ/5sQCV9XB7FjETVa9wBXdPV3RWWVEasOpIsdh26DWQtOfn4+Ro0aBY1GA1dXV0yYMAHFxcU33ae8vBxTpkyBu7s7nJ2dMWzYMOTk/HMr+2PHjmHkyJHw9/eHg4MDQkJC8Omnn5pzGkSN0ruth+nKqm/+TrW5ExeLyg0YuywOxzIK0MJRgZVPRqK9t4vYsYhui0QiwRN9ggAA/7f/PCqqbP8tZltl1oIzatQonDx5Elu3bsXGjRvx119/YdKkSTfdZ/r06fjtt9+wZs0a7N69G1lZWRg6dKjp4/Hx8fDy8sL333+PkydP4pVXXsHs2bOxcOFCc06FqFEeDPPFS4NqriR6a+MprDxgG0vB60sNGLf8II6kF0DroMD3T0YipKVG7FhETeK+0Jbw1qhwqagCG4/xFizWSiIIgllODkhMTETHjh1x8OBB9OjRAwCwZcsW3Hfffbhw4QJ8fHyu20ev18PT0xOrVq3Cww8/DABISkpCSEgIYmNj0atXrzo/15QpU5CYmIgdO3bUK1thYSG0Wi30ej00Gv5QJvMSBAHv/J6Ib64ewXl7SGc83itQ5FSNl60vx9hlcUjOKYJGLcfKJ3sh1E8rdiyiJrVoZwo++CMZnXw02DitL++hZiEa8vvbbEdwYmNj4erqaio3ABAdHQ2pVIoDBw7UuU98fDwMBgOio6NN24KDgxEQEIDY2Ngbfi69Xg83N7cbfryiogKFhYW1HkTNRSKR4JXBIZjYr+bkxVfXJ+D/YtPEDdVIZy8VY9iX+5CcUwRvjQo/PR3FckM26bGIAKgVUpzMKkRcar7YcagRzFZwsrOz4eXlVWubXC6Hm5sbsrOzb7iPUqmEq6trre3e3t433Gffvn348ccfb/rW17x586DVak0Pf3//hk2G6DZJJBK8fF8InurfGgDw2q8n8dXuszDTAVSziD+fj0cWxyKzoAytPZyw9uneCNbxCCjZphZOSgzt7gcAWMZLxq1SgwvOrFmzIJFIbvpISmqee/EkJCTgwQcfxNy5c3HPPffccNzs2bOh1+tNj4yMjGbJR/RvEokEs+4NxtNX7z4+b3MSXlmfAIMV3Jxz1YF0jFiyH/kllejip8Wap6Pg7+Yodiwis7p2f6o/T+Ug/XKpuGGoweQN3eGFF17AuHHjbjqmdevW0Ol0yM2tfT+Pqqoq5OfnQ6fT1bmfTqdDZWUlCgoKah3FycnJuW6fU6dOYeDAgZg0aRJeffXVm+ZRqVRQqVQ3HUPUHCQSCV4a1AGeLiq8/fsprDqQjoz8Uiwa1R0atULseNepqKrG6xtO4oe4mj8K7gvV4YOHu8JJ1eAfHURWp523C/q398Rfpy9hxb40zPlPR7EjUQM0+KeUp6cnPD09bzkuKioKBQUFiI+PR3h4OABgx44dMBqNiIyMrHOf8PBwKBQKbN++HcOGDQMAJCcnIz09HVFRUaZxJ0+exF133YWxY8finXfeaegUiEQlkUgwoW8rBLo54tnVR7DnTB6GfrEPCx/rZlFv+Zy7VIzpPx3DsYwCSCTAzJgOmDygDU+2JLvyRJ8g/HX6En46lIHpd7eDiwX+IUJ1M9s5OCEhIRg0aBAmTpyIuLg47N27F1OnTsWIESNMV1BlZmYiODgYcXFxAACtVosJEyZgxowZ2LlzJ+Lj4zF+/HhERUWZrqBKSEjAnXfeiXvuuQczZsxAdnY2srOzcenSJXNNhcgsojt646enoqDTqJGSW4wHFu7Fsr9TRV/12GgUsHxvKu77bA+OZRRAo5Zj+bieeOaOtiw3ZHcGtPdEWy9nFFdUYc2hC2LHoQYw6zo4K1euRHBwMAYOHIj77rsPffv2xZIlS0wfNxgMSE5ORmnpP+9tfvzxx7j//vsxbNgw9O/fHzqdDuvWrTN9fO3atbh06RK+//57tGzZ0vTo2bOnOadCZBadfbXY+GxfDAz2QmWVEW9uPIVxKw4ip7BclDypeSV47Jv9eOO3Uyg3GNG3rQe2PN8fd3TwuvXORDZIIpFg/NWF/1bsS0O1Dd92xdaYbR0cS8Z1cMjSCIKA7/efx9u/J6KiyghHpQyTB7TBxP6toVaY/6aV+SWV+Gz7GXy//zyqjAIcFDK8PDgEj0cG8KgN2b2yymr0mrcd+jIDlowOxz2d6j6PlMzPItbBIaL6k0gkGB0VhI3T+qJbgCtKK6vx4dbTuGvBLvxy5AKqzHSlVUFpJRbtTMGAD3Zixb40VBkF3NHBE1ue74fRvQJZbogAOChleCwyAABs7pYrtoxHcHgEhyyMIAjYcCwL721OQpa+5q0qfzcHjO/dCg91822SO3UnXizEt/vSsP5oJsoNNeWpY0sNXhkcgj5tPW77+YlszUV9Gfq9txNVRgEbp/VFZ18ucCmGhvz+ZsFhwSELVW6oxtK/U/HNnnO4UmoAAChlUgzo4Il7Onqjd1uPet+5u6raiBOZevx9Jg+bE7Jx6uI/q3mHtNRgYr9WGBLmC6mUR2yIbuTZH45gw7EsDOvuhw8f7Sp2HLvEgnMLLDhkTcoqq7E2PgM/xGXUKiYA0FKrRgedC4LcneDpooKzSg65TIKyymoUlhmQWVCOs5eKkZxdhDLDP3dFlkklGNRJh7G9g9AzqAXfiiKqh6MZBRiyaC+UMin+nnUnvFzUYkeyOyw4t8CCQ9Yq8WIh/jiZjZ1JuUjIKmzQFR0atRy9WrtjYIgX7u6og1sTvNVFZG+GfrEXh9ML8NzAdph+d3ux49gdFpxbYMEhW1BSUYWTWYU4nVOEC1fKcKmoAuWGahiqjXBQyuCsksPH1QH+bo7o2FKDVh5OkPEtKKLbsvF4FqauOgJ3JyX2zrqrWa5ypH805Pc311snslJOKjkiWrkhopWb2FGI7MagTjr4aNXI0pdjw7EsPNqDN2+2VLxMnIiIqJ7kMinGXr0J57K/U2GHb4JYDRYcIiKiBhjRMwAOChmSsosQe+6y2HHoBlhwiIiIGkDrqMDD4X4AgGV/p4kbhm6IBYeIiKiBxl29P9X2pByk5ZWIG4bqxIJDRETUQG08nXFnB08IQs1NOMnysOAQERE1woS+rQEAPx3KgL7MIHIa+l8sOERERI3Qp6072ns7o7SyGmsOZYgdh/4HCw4REVEjSCQSPNGnFQBg+d40VFUbRU5E/8aCQ0RE1EhDuvmihaMCmQVl2HoqR+w49C8sOERERI2kVsgwKjIQALBsb6rIaejfWHCIiIhuw+ioQChkEhxMu4LjFwrEjkNXseAQERHdBm+NGvd38QEAfL2HR3EsBQsOERHRbXqyX83JxptOXERGfqnIaQhgwSEiIrptnXy06NvWA9VGgefiWAgWHCIioiYwqX/Nwn8/HsyAvpQL/4mNBYeIiKgJ9GvngWCdC0orq/H9gfNix7F7LDhERERNQCKRmI7irNiXhoqqapET2TcWHCIioiZyfxcf6DRqXCqqwK9HssSOY9dYcIiIiJqIUi7FE32DAABL9pyD0SiIG8iOseAQERE1oRERAXBWyZGSW4xdp3PFjmO3WHCIiIiakEatwGORAQCAJX+dEzmN/WLBISIiamLjegdBLpVg/7l83r5BJCw4RERETczH1QEPdK25fQOP4oiDBYeIiMgMnuxXc8k4b98gDhYcIiIiM+joo0G/dh4wCsDSv3n7hubGgkNERGQm/759Q0Fppchp7AsLDhERkZn0beuBkJYalBmq8V0sb9/QnFhwiIiIzEQikeDpATVHcZbvTUVpZZXIiewHCw4REZEZDQ5tiQA3R1wpNeCHuAyx49gNFhwiIiIzksukeHpAGwDA13+d4004mwkLDhERkZkNC/eFl4sK2YXl+OVwpthx7AILDhERkZmp5DLTFVWLd59FNW/CaXYsOERERM1gZEQAXB0VSLtcik0nLoodx+ax4BARETUDJ5Uc43u3AgAs2pkCQeBRHHNiwSEiImomY3sHwkkpQ1J2EXYm54odx6ax4BARETUTV0clHu8VCABYuINHcczJrAUnPz8fo0aNgkajgaurKyZMmIDi4uKb7lNeXo4pU6bA3d0dzs7OGDZsGHJycuoce/nyZfj5+UEikaCgoMAMMyAiImpaE/q2glIuxeH0AhxIzRc7js0ya8EZNWoUTp48ia1bt2Ljxo3466+/MGnSpJvuM336dPz2229Ys2YNdu/ejaysLAwdOrTOsRMmTECXLl3MEZ2IiMgsvDRqPNrDD0DNURwyD7MVnMTERGzZsgXffPMNIiMj0bdvX3z++edYvXo1srKy6txHr9dj6dKl+Oijj3DXXXchPDwcy5cvx759+7B///5aY7/88ksUFBTgxRdfNNcUiIiIzOKp/m0gl0rwd0oeDqXxKI45mK3gxMbGwtXVFT169DBti46OhlQqxYEDB+rcJz4+HgaDAdHR0aZtwcHBCAgIQGxsrGnbqVOn8Oabb+K7776DVHrrKVRUVKCwsLDWg4iISCz+bo545OpRnI+3nRY5jW0yW8HJzs6Gl5dXrW1yuRxubm7Izs6+4T5KpRKurq61tnt7e5v2qaiowMiRI/HBBx8gICCgXlnmzZsHrVZrevj7+zd8QkRERE1oyp1tIZdKsDflMuJ4Lk6Ta3DBmTVrFiQSyU0fSUlJ5sgKAJg9ezZCQkLw+OOPN2gfvV5vemRk8GZnREQkLr8WjnikR80f3J/wKE6Tkzd0hxdeeAHjxo276ZjWrVtDp9MhN7f2Nf5VVVXIz8+HTqercz+dTofKykoUFBTUOoqTk5Nj2mfHjh04ceIE1q5dCwCmS+w8PDzwyiuv4I033rjueVUqFVQqVX2nSERE1Cym3tUWa+MzsO/sZRw4dxmRrd3FjmQzGlxwPD094enpectxUVFRKCgoQHx8PMLDwwHUlBOj0YjIyMg69wkPD4dCocD27dsxbNgwAEBycjLS09MRFRUFAPj5559RVlZm2ufgwYN44oknsGfPHrRp06ah0yEiIhKNr6sDHu3hj5UH0vHJtjP4YRILTlNpcMGpr5CQEAwaNAgTJ07E4sWLYTAYMHXqVIwYMQI+Pj4AgMzMTAwcOBDfffcdIiIioNVqMWHCBMyYMQNubm7QaDSYNm0aoqKi0KtXLwC4rsTk5eWZPt//nrtDRERk6Z65sy1+OpSB2HOXsf/cZfTiUZwmYdZ1cFauXIng4GAMHDgQ9913H/r27YslS5aYPm4wGJCcnIzS0lLTto8//hj3338/hg0bhv79+0On02HdunXmjElERCQaX1cHDO9Zcy7Ox1t5Lk5TkQh2uE50YWEhtFot9Ho9NBqN2HGIiMjOZRWU4Y4PdqGy2ogfJvZCVBsexalLQ35/815UREREIvP591Gcbad5j6omwIJDRERkAZ65sw2UMiniUvOx50ye2HGsHgsOERGRBWipdcDoqJo7jb//RxKMRh7FuR0sOERERBbimTvawFklR0JmITYlXBQ7jlVjwSEiIrIQ7s4qTOzXGgCw4I9kGKqNIieyXiw4REREFuTJfq3g7qRE2uVS/HSItxZqLBYcIiIiC+KkkmPaXW0BAJ9uO4OyymqRE1knFhwiIiILMzIyAH4tHJBbVIFle1PFjmOVWHCIiIgsjEouwwv3tAcAfLnrLPKKK0ROZH1YcIiIiCzQg119EeqrRXFFFT7Zxls4NBQLDhERkQWSSiV4dXAIAGDVgXSczikSOZF1YcEhIiKyUJGt3RHTyRtGAXh3U6LYcawKCw4REZEFm3VvCORSCXYlX8Jfpy+JHcdqsOAQERFZsFYeThgTFQQAeOf3RFRx8b96YcEhIiKycM8ObAutgwLJOUVYFZcudhyrwIJDRERk4VwdlabLxhf8kYzLvGz8llhwiIiIrMCoyEB0bKlBYXkV3tuSJHYci8eCQ0REZAVkUgneGtIJAPDToQs4kn5F5ESWjQWHiIjISoQHumFYdz8AwJxfT6LaKIicyHKx4BAREVmRWfcGw0Utx4lMPX7gCcc3xIJDRERkRTxdVJhxd80Jx+9tSUJuYbnIiSwTCw4REZGVGRMVhK5+WhSVV2HuhpNix7FILDhERERWRiaVYN7QLpBLJdickI0tCdliR7I4LDhERERWqKOPBk8NaA0AmPNrAvRlBpETWRYWHCIiIis17a52aO3hhNyiCszfzLVx/o0Fh4iIyEqpFTK8OzQUAPBDXDr2puSJnMhysOAQERFZsV6t3fF4rwAAwItrjkFfyreqABYcIiIiq/fyfSFo5eGEi/pyzNmQIHYci8CCQ0REZOUclXJ89GhXyKQS/Ho0CxuOZYkdSXQsOERERDagW0ALTL2zLQDg1V9O4KK+TORE4mLBISIishFT72qLrn5aFJZXYfqPR1FVbRQ7kmhYcIiIiGyEQibFx8PD4KSUYf+5fHy87bTYkUTDgkNERGRDWns6Y96wLgCARTvPYkdSjsiJxMGCQ0REZGMe6OqDsVGBAIDpPx5DRn6pyImaHwsOERGRDXplcEeE+btCX2bAMysPo9xQLXakZsWCQ0REZIOUcikWjeoOV0cFTmTq8dLPxyEIgtixmg0LDhERkY3ydXXAose6Q351fZyPt50RO1KzYcEhIiKyYX3aeuCdhzoDAD7bfgY/x18QOVHzYMEhIiKyccN7BmDyHW0AALPWHcf+c5dFTmR+LDhERER2YOY9HTA4tCUM1QImfnsIxzIKxI5kViw4REREdkAqleDDR7siopUbiiqqMHrpASRk6sWOZTYsOERERHZCrZBh2bieCA9sgcLyKjy+9ACSsgvFjmUWLDhERER2xFklx/LxPdHV3xUFpQaM+voATmXZXskxW8HJz8/HqFGjoNFo4OrqigkTJqC4uPim+5SXl2PKlClwd3eHs7Mzhg0bhpyc65eYXrFiBbp06QK1Wg0vLy9MmTLFXNMgIiKyORq1At89EYHOvhpcLqnEo1/F4q/Tl8SO1aTMVnBGjRqFkydPYuvWrdi4cSP++usvTJo06ab7TJ8+Hb/99hvWrFmD3bt3IysrC0OHDq015qOPPsIrr7yCWbNm4eTJk9i2bRtiYmLMNQ0iIiKbpHVQYOWTvRDV2h3FFVUYv+IgfjqYIXasJiMRzLCsYWJiIjp27IiDBw+iR48eAIAtW7bgvvvuw4ULF+Dj43PdPnq9Hp6enli1ahUefvhhAEBSUhJCQkIQGxuLXr164cqVK/D19cVvv/2GgQMHNjpfYWEhtFot9Ho9NBpNo5+HiIjI2lVWGfHSz8fxy5FMAMAzd7TBjLvbQy6zvLNYGvL72yzpY2Nj4erqaio3ABAdHQ2pVIoDBw7UuU98fDwMBgOio6NN24KDgxEQEIDY2FgAwNatW2E0GpGZmYmQkBD4+fnh0UcfRUbGzRtnRUUFCgsLaz2IiIio5pYOHz3aFVPvbAsA+GLXWYxYsh8Xrlj3DTrNUnCys7Ph5eVVa5tcLoebmxuys7NvuI9SqYSrq2ut7d7e3qZ9zp07B6PRiHfffReffPIJ1q5di/z8fNx9992orKy8YZ558+ZBq9WaHv7+/rc3QSIiIhsikUjwYkwHfDoiDC4qOQ6dv4J7P92DjcezxI7WaA0qOLNmzYJEIrnpIykpyVxZYTQaYTAY8NlnnyEmJga9evXCDz/8gDNnzmDnzp033G/27NnQ6/Wmx62O+BAREdmjB8N8sem5fugW4Iqi8ipMXXUEk7+PR1ZBmdjRGkzekMEvvPACxo0bd9MxrVu3hk6nQ25ubq3tVVVVyM/Ph06nq3M/nU6HyspKFBQU1DqKk5OTY9qnZcuWAICOHTuaPu7p6QkPDw+kp6ffMJNKpYJKpbppbiIiIgL83Rzx01NR+HTbGXy5+yw2J2RjZ3Iuxvdphaf7t4HWUSF2xHppUMHx9PSEp6fnLcdFRUWhoKAA8fHxCA8PBwDs2LEDRqMRkZGRde4THh4OhUKB7du3Y9iwYQCA5ORkpKenIyoqCgDQp08f03Y/Pz8ANZej5+XlITAwsCFTISIiohtQyKR4MaYDBndpiTm/JuBg2hV8uessvtuXhkd7+mN0r0C09nQWO+ZNmeUqKgC49957kZOTg8WLF8NgMGD8+PHo0aMHVq1aBQDIzMzEwIED8d133yEiIgIAMHnyZGzatAkrVqyARqPBtGnTAAD79u0zPe+QIUOQkpKCJUuWQKPRYPbs2Th37hyOHj0KhaJ+rZJXUREREdWPIAjYlpiLD/9MRlJ2kWl7mL8r7u7ojQHtPdFB5wJFM1x11ZDf3w06gtMQK1euxNSpUzFw4EBIpVIMGzYMn332menjBoMBycnJKC395yztjz/+2DS2oqICMTEx+OKLL2o973fffYfp06dj8ODBkEqlGDBgALZs2VLvckNERET1J5FIcHdHb0SHeGHPmTys2JeG3acv4WhGAY5mFOCDP5KhkkvR1ssZvq4OaOGohINShh5BLXB/l+uXhWm23OY6gmPJeASHiIio8XKLyvFHQjZ2JV9CXGo+iiqqrhvzWGQA3n0otEk/r0UcwSEiIiLb5OWixuioIIyOCoLRKCDtcglS80qQWVCGovIqlFZWoYufq6gZWXCIiIio0aRSCVp7OlvcSceWtw4zERER0W1iwSEiIiKbw4JDRERENocFh4iIiGwOCw4RERHZHBYcIiIisjksOERERGRzWHCIiIjI5rDgEBERkc1hwSEiIiKbw4JDRERENocFh4iIiGwOCw4RERHZHLu8m7ggCACAwsJCkZMQERFRfV37vX3t9/jN2GXBKSoqAgD4+/uLnISIiIgaqqioCFqt9qZjJEJ9apCNMRqNyMrKgouLCyQSSZM+d2FhIfz9/ZGRkQGNRtOkz20JOD/rZ+tz5Pysn63P0dbnB5hvjoIgoKioCD4+PpBKb36WjV0ewZFKpfDz8zPr59BoNDb7Dxfg/GyBrc+R87N+tj5HW58fYJ453urIzTU8yZiIiIhsDgsOERER2RwWnCamUqkwd+5cqFQqsaOYBedn/Wx9jpyf9bP1Odr6/ADLmKNdnmRMREREto1HcIiIiMjmsOAQERGRzWHBISIiIpvDgkNEREQ2hwWngd555x307t0bjo6OcHV1rdc+giBgzpw5aNmyJRwcHBAdHY0zZ87UGpOfn49Ro0ZBo9HA1dUVEyZMQHFxsRlmcHMNzZGWlgaJRFLnY82aNaZxdX189erVzTGl6zTma33HHXdcl//pp5+uNSY9PR2DBw+Go6MjvLy8MHPmTFRVVZlzKnVq6Pzy8/Mxbdo0dOjQAQ4ODggICMCzzz4LvV5fa5yYr+GiRYsQFBQEtVqNyMhIxMXF3XT8mjVrEBwcDLVajdDQUGzatKnWx+vzPdmcGjK/r7/+Gv369UOLFi3QokULREdHXzd+3Lhx171WgwYNMvc0bqgh81uxYsV12dVqda0xlvb6AQ2bY10/TyQSCQYPHmwaY0mv4V9//YX//Oc/8PHxgUQiwfr162+5z65du9C9e3eoVCq0bdsWK1asuG5MQ7+vG0ygBpkzZ47w0UcfCTNmzBC0Wm299pk/f76g1WqF9evXC8eOHRMeeOABoVWrVkJZWZlpzKBBg4SuXbsK+/fvF/bs2SO0bdtWGDlypJlmcWMNzVFVVSVcvHix1uONN94QnJ2dhaKiItM4AMLy5ctrjfv3/JtTY77WAwYMECZOnFgrv16vN328qqpK6Ny5sxAdHS0cOXJE2LRpk+Dh4SHMnj3b3NO5TkPnd+LECWHo0KHChg0bhJSUFGH79u1Cu3bthGHDhtUaJ9ZruHr1akGpVArLli0TTp48KUycOFFwdXUVcnJy6hy/d+9eQSaTCe+//75w6tQp4dVXXxUUCoVw4sQJ05j6fE82l4bO77HHHhMWLVokHDlyREhMTBTGjRsnaLVa4cKFC6YxY8eOFQYNGlTrtcrPz2+uKdXS0PktX75c0Gg0tbJnZ2fXGmNJr58gNHyOly9frjW/hIQEQSaTCcuXLzeNsaTXcNOmTcIrr7wirFu3TgAg/PLLLzcdf+7cOcHR0VGYMWOGcOrUKeHzzz8XZDKZsGXLFtOYhn7NGoMFp5GWL19er4JjNBoFnU4nfPDBB6ZtBQUFgkqlEn744QdBEATh1KlTAgDh4MGDpjGbN28WJBKJkJmZ2eTZb6SpcoSFhQlPPPFErW31+aZoDo2d44ABA4Tnnnvuhh/ftGmTIJVKa/0g/vLLLwWNRiNUVFQ0Sfb6aKrX8KeffhKUSqVgMBhM28R6DSMiIoQpU6aY/ru6ulrw8fER5s2bV+f4Rx99VBg8eHCtbZGRkcJTTz0lCEL9viebU0Pn97+qqqoEFxcX4dtvvzVtGzt2rPDggw82ddRGaej8bvWz1dJeP0G4/dfw448/FlxcXITi4mLTNkt6Df+tPj8H/vvf/wqdOnWqtW348OFCTEyM6b9v92tWH3yLysxSU1ORnZ2N6Oho0zatVovIyEjExsYCAGJjY+Hq6ooePXqYxkRHR0MqleLAgQPNlrUpcsTHx+Po0aOYMGHCdR+bMmUKPDw8EBERgWXLltXrdvdN7XbmuHLlSnh4eKBz586YPXs2SktLaz1vaGgovL29TdtiYmJQWFiIkydPNv1EbqCp/i3p9XpoNBrI5bVvV9fcr2FlZSXi4+Nrff9IpVJER0ebvn/+V2xsbK3xQM1rcW18fb4nm0tj5ve/SktLYTAY4ObmVmv7rl274OXlhQ4dOmDy5Mm4fPlyk2avj8bOr7i4GIGBgfD398eDDz5Y63vIkl4/oGlew6VLl2LEiBFwcnKqtd0SXsPGuNX3YFN8zerDLm+22Zyys7MBoNYvvmv/fe1j2dnZ8PLyqvVxuVwONzc305jm0BQ5li5dipCQEPTu3bvW9jfffBN33XUXHB0d8eeff+KZZ55BcXExnn322SbLXx+NneNjjz2GwMBA+Pj44Pjx43jppZeQnJyMdevWmZ63rtf42seaS1O8hnl5eXjrrbcwadKkWtvFeA3z8vJQXV1d59c2KSmpzn1u9Fr8+/vt2rYbjWkujZnf/3rppZfg4+NT65fFoEGDMHToULRq1Qpnz57Fyy+/jHvvvRexsbGQyWRNOoebacz8OnTogGXLlqFLly7Q6/VYsGABevfujZMnT8LPz8+iXj/g9l/DuLg4JCQkYOnSpbW2W8pr2Bg3+h4sLCxEWVkZrly5ctv/7uuDBQfArFmz8N577910TGJiIoKDg5spUdOq7/xuV1lZGVatWoXXXnvtuo/9e1u3bt1QUlKCDz74oMl+OZp7jv/+ZR8aGoqWLVti4MCBOHv2LNq0adPo562v5noNCwsLMXjwYHTs2BGvv/56rY+Z+zWkhps/fz5Wr16NXbt21ToRd8SIEab/Hxoaii5duqBNmzbYtWsXBg4cKEbUeouKikJUVJTpv3v37o2QkBB89dVXeOutt0RMZh5Lly5FaGgoIiIiam235tfQUrDgAHjhhRcwbty4m45p3bp1o55bp9MBAHJyctCyZUvT9pycHISFhZnG5Obm1tqvqqoK+fn5pv1vR33nd7s51q5di9LSUowZM+aWYyMjI/HWW2+hoqKiSe5V0lxzvCYyMhIAkJKSgjZt2kCn0113BUBOTg4AWM1rWFRUhEGDBsHFxQW//PILFArFTcc39WtYFw8PD8hkMtPX8pqcnJwbzken0910fH2+J5tLY+Z3zYIFCzB//nxs27YNXbp0uenY1q1bw8PDAykpKc36y/F25neNQqFAt27dkJKSAsCyXj/g9uZYUlKC1atX480337zl5xHrNWyMG30PajQaODg4QCaT3fa/i3ppsrN57ExDTzJesGCBaZter6/zJONDhw6Zxvzxxx+inWTc2BwDBgy47sqbG3n77beFFi1aNDprYzXV1/rvv/8WAAjHjh0TBOGfk4z/fQXAV199JWg0GqG8vLzpJnALjZ2fXq8XevXqJQwYMEAoKSmp1+dqrtcwIiJCmDp1qum/q6urBV9f35ueZHz//ffX2hYVFXXdScY3+55sTg2dnyAIwnvvvSdoNBohNja2Xp8jIyNDkEgkwq+//nrbeRuqMfP7t6qqKqFDhw7C9OnTBUGwvNdPEBo/x+XLlwsqlUrIy8u75ecQ8zX8N9TzJOPOnTvX2jZy5MjrTjK+nX8X9craZM9kJ86fPy8cOXLEdCn0kSNHhCNHjtS6JLpDhw7CunXrTP89f/58wdXVVfj111+F48ePCw8++GCdl4l369ZNOHDggPD3338L7dq1E+0y8ZvluHDhgtChQwfhwIEDtfY7c+aMIJFIhM2bN1/3nBs2bBC+/vpr4cSJE8KZM2eEL774QnB0dBTmzJlj9vnUpaFzTElJEd58803h0KFDQmpqqvDrr78KrVu3Fvr372/a59pl4vfcc49w9OhRYcuWLYKnp6dol4k3ZH56vV6IjIwUQkNDhZSUlFqXpVZVVQmCIO5ruHr1akGlUgkrVqwQTp06JUyaNElwdXU1XbE2evRoYdasWabxe/fuFeRyubBgwQIhMTFRmDt3bp2Xid/qe7K5NHR+8+fPF5RKpbB27dpar9W1n0FFRUXCiy++KMTGxgqpqanCtm3bhO7duwvt2rVr1rLd2Pm98cYbwh9//CGcPXtWiI+PF0aMGCGo1Wrh5MmTpjGW9PoJQsPneE3fvn2F4cOHX7fd0l7DoqIi0+86AMJHH30kHDlyRDh//rwgCIIwa9YsYfTo0abx1y4TnzlzppCYmCgsWrSozsvEb/Y1awosOA00duxYAcB1j507d5rG4Op6IdcYjUbhtddeE7y9vQWVSiUMHDhQSE5OrvW8ly9fFkaOHCk4OzsLGo1GGD9+fK3S1FxulSM1NfW6+QqCIMyePVvw9/cXqqurr3vOzZs3C2FhYYKzs7Pg5OQkdO3aVVi8eHGdY5tDQ+eYnp4u9O/fX3BzcxNUKpXQtm1bYebMmbXWwREEQUhLSxPuvfdewcHBQfDw8BBeeOGFWpdZN5eGzm/nzp11/psGIKSmpgqCIP5r+PnnnwsBAQGCUqkUIiIihP3795s+NmDAAGHs2LG1xv/0009C+/btBaVSKXTq1En4/fffa328Pt+Tzakh8wsMDKzztZo7d64gCIJQWloq3HPPPYKnp6egUCiEwMBAYeLEiU36i6OhGjK/559/3jTW29tbuO+++4TDhw/Xej5Le/0EoeH/RpOSkgQAwp9//nndc1naa3ijnxHX5jR27FhhwIAB1+0TFhYmKJVKoXXr1rV+J15zs69ZU5AIggjX6hIRERGZEdfBISIiIpvDgkNEREQ2hwWHiIiIbA4LDhEREdkcFhwiIiKyOSw4REREZHNYcIiIiMjmsOAQERGRzWHBISIiIpvDgkNEREQ2hwWHiIiIbA4LDhEREdmc/wdPBWopUn5DfwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.linspace(-1,1,len(vec_projected.real)), vec_projected.real)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x168a92a20>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.linspace(-1,1,len(vec_projected.imag)), vec_projected.imag)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chebyshev state preparation\n",
    "\n",
    "Here we introduce the Chebyshev block encoding class and show how it can be used within LCUStatePreparationBox to implement simple linear combinations of Chebyshev polynomials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from pytket.extensions.qulacs import QulacsBackend\n",
    "from pytket.circuit.display import render_circuit_jupyter\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from mvsp.utils.linalg_utils import get_projector_matrix\n",
    "from mvsp.circuits.lcu_state_preparation.lcu_state_preparation_block_encoding import ChebychevBlockEncoding\n",
    "from mvsp.circuits.lcu_state_preparation.lcu_state_preparation import LCUStatePreparationBox\n",
    "\n",
    "from numpy.polynomial import Chebyshev"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a ChebyshevBlockEncoding for `n_qubits = 5` qubits. The method generate_basis_elements creates a RegisterBox implementing the Chebyshev polynomial of order `chebyshev_index` as a block encoding."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_qubits = 5\n",
    "\n",
    "W = ChebychevBlockEncoding(n_block_qubits=n_qubits)\n",
    "W_box = W.generate_basis_element(basis_index=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We visualise the circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
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[&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]]], &#34;name&#34;: &#34;SelectMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]]]}, &#34;id&#34;: &#34;984a12a8-0df0-4d28-b510-6812cf7f733c&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;0d310d98-51ea-4e2e-9af5-77ca8097813e&#34;, &#34;is_inverse&#34;: true, 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[&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]]], &#34;name&#34;: &#34;LCUMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]]]}, &#34;id&#34;: &#34;c555f244-0069-4e79-9c4f-1612e6faee73&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;n_qb&#34;: 3, &#34;type&#34;: &#34;CnZ&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;ReflectionBox&#34;, &#34;phase&#34;: &#34;1.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;25754edb-091f-447b-8bbc-1f0c9f2ac1b9&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]]], &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]]]}, &#34;id&#34;: &#34;e9c323e7-128f-46ef-b1f7-af7087facc09&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;ancilla&#34;, [0]], [&#34;ancilla&#34;, [0]]], [[&#34;ancilla&#34;, [1]], [&#34;ancilla&#34;, [1]]], [[&#34;ancilla&#34;, [2]], [&#34;ancilla&#34;, [2]]], [[&#34;block&#34;, [0]], [&#34;block&#34;, [0]]], [[&#34;block&#34;, [1]], [&#34;block&#34;, [1]]], [[&#34;block&#34;, [2]], [&#34;block&#34;, [2]]], [[&#34;block&#34;, [3]], [&#34;block&#34;, [3]]], [[&#34;block&#34;, [4]], [&#34;block&#34;, [4]]]], &#34;name&#34;: &#34;QubitiseBox^1&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;ancilla&#34;, [0]], [&#34;ancilla&#34;, [1]], [&#34;ancilla&#34;, [2]], [&#34;block&#34;, [0]], [&#34;block&#34;, [1]], [&#34;block&#34;, [2]], [&#34;block&#34;, [3]], [&#34;block&#34;, [4]]]}&lt;/div&gt;\n",
       "        &lt;/div&gt;\n",
       "        &lt;circuit-display-container\n",
       "                :circuit-element-str=&#34;&#39;#circuit-json-to-display&#39;&#34;\n",
       "                :init-render-options=&#34;initRenderOptions&#34;\n",
       "        &gt;&lt;/circuit-display-container&gt;\n",
       "    &lt;/div&gt;\n",
       "    &lt;script type=&#34;application/javascript&#34;&gt;\n",
       "      const circuitRendererUid = &#34;5999eef1-b50a-4161-b138-b02833c61394&#34;;\n",
       "      const displayOptions = JSON.parse(&#39;{}&#39;);\n",
       "\n",
       "      // Script to initialise the circuit renderer app\n",
       "\n",
       "const { createApp } = Vue;\n",
       "const circuitDisplayContainer = window[&#34;pytket-circuit-renderer&#34;].default;\n",
       "// Init variables to be shared between circuit display instances\n",
       "if (typeof window.pytketCircuitDisplays === &#34;undefined&#34;) {\n",
       "    window.pytketCircuitDisplays = {};\n",
       "}\n",
       "// Create the root Vue component\n",
       "const app = createApp({\n",
       "    delimiters: [&#39;[[#&#39;, &#39;#]]&#39;],\n",
       "    components: { circuitDisplayContainer },\n",
       "    data () {\n",
       "      return {\n",
       "        initRenderOptions: displayOptions,\n",
       "      }\n",
       "    }\n",
       "})\n",
       "app.config.unwrapInjectedRef = true;\n",
       "app.mount(&#34;#circuit-display-vue-container-&#34;+circuitRendererUid);\n",
       "window.pytketCircuitDisplays[circuitRendererUid] = app;\n",
       "    &lt;/script&gt;\n",
       "\n",
       "\n",
       "\n",
       "&lt;/body&gt;\n",
       "&lt;/html&gt;\n",
       "\"\n",
       "            width=\"100%\" height=\"100%\"\n",
       "            style=\"border: none; outline: none; overflow: auto\"></iframe>\n",
       "</div>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "render_circuit_jupyter(W_box.reg_circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create the first five Chebyshev basis elements and plot them. We also generate the exact Chebyshev polynomials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_block_encoding(anc_qubits, state_qubits, index=1):\n",
    "    n_anc_qubits = len(anc_qubits)\n",
    "    n_state_qubits = len(state_qubits)\n",
    "    \n",
    "    W_box = ChebychevBlockEncoding(n_block_qubits=n_state_qubits).generate_basis_element(basis_index=index)\n",
    "    unitary = W_box.get_circuit().get_unitary()    \n",
    "    \n",
    "    # Compare to exact matrix\n",
    "    projector = np.array(get_projector_matrix(list(range(n_anc_qubits)), list(range(n_anc_qubits, n_anc_qubits + n_state_qubits))))\n",
    "    unitary_projected = projector.transpose() @ unitary @ projector\n",
    "    \n",
    "    # Compare to exact Chebyshev polynomial\n",
    "    x_vals = np.linspace(-1,1,len(unitary_projected.diagonal()))\n",
    "    coef = [0 for _ in range(index + 1)]\n",
    "    coef[-1] = 1\n",
    "    coef = tuple(coef)\n",
    "    T = Chebyshev(coef=coef)\n",
    "    y_vals = T(x_vals)\n",
    "    \n",
    "    return unitary_projected.diagonal().real, y_vals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "anc_qubits = W_box.q_registers[0]\n",
    "state_qubits = W_box.q_registers[1]\n",
    "\n",
    "evaluations = []\n",
    "for i in range(5):\n",
    "    evaluations.append(evaluate_block_encoding(anc_qubits, state_qubits, i))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They agree up to numerical precision."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "7.523751499679691e-15\n",
      "1.7641616131921784e-14\n",
      "2.8179934834589785e-14\n",
      "3.822887987796064e-14\n"
     ]
    }
   ],
   "source": [
    "for eval in evaluations:\n",
    "    print(np.linalg.norm(eval[0] - eval[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for eval in evaluations:\n",
    "    plt.plot(np.linspace(-1,1,len(eval[0])), eval[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full state preparation circuit\n",
    "\n",
    "Here we use the Chebyshev block encoding in combination with the LCUStatePreparationBox to prepare a simple linear combination of Chebyshev polynomials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_qubits = 8\n",
    "\n",
    "W = ChebychevBlockEncoding(n_block_qubits=n_qubits)\n",
    "\n",
    "dims_variables = (2**n_qubits,)\n",
    "\n",
    "coeffs = np.zeros(4)\n",
    "coeffs[1] = 0.5\n",
    "coeffs[3] = 0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "lcuspbox = LCUStatePreparationBox(\n",
    "    coeffs,\n",
    "    [W],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The circuit looks like..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<div style=\"resize: vertical; overflow: auto; height: 400px; display: block\">\n",
       "    <iframe srcdoc=\"\n",
       "&lt;!DOCTYPE html&gt;\n",
       "&lt;html lang=&#34;en&#34;&gt;\n",
       "&lt;head&gt;\n",
       "    &lt;meta charset=&#34;UTF-8&#34;&gt;\n",
       "    &lt;!-- Download Vue 3--&gt;\n",
       "&lt;script type=&#34;application/javascript&#34; src=&#34;https://cdn.jsdelivr.net/npm/vue@3&#34;&gt;&lt;/script&gt;\n",
       "&lt;!-- Download Circuit Renderer with styles --&gt;\n",
       "&lt;script type=&#34;application/javascript&#34; src=&#34;https://unpkg.com/pytket-circuit-renderer@0.8/dist/pytket-circuit-renderer.umd.js&#34;&gt;&lt;/script&gt;\n",
       "&lt;link rel=&#34;stylesheet&#34; href=&#34;https://unpkg.com/pytket-circuit-renderer@0.8/dist/pytket-circuit-renderer.css&#34;&gt;\n",
       "&lt;/head&gt;\n",
       "&lt;body&gt;\n",
       "\n",
       "\n",
       "\n",
       "    &lt;div id=&#34;circuit-display-vue-container-d288c453-a144-4251-834a-e19a0f4416ca&#34; class=&#34;pytket-circuit-display-container&#34;&gt;\n",
       "        &lt;div style=&#34;display: none&#34;&gt;\n",
       "            &lt;div id=&#34;circuit-json-to-display&#34;&gt;{&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;d8aa11d1-3c7d-4bed-ac43-d46b50000877&#34;, &#34;op_map&#34;: [[[], {&#34;params&#34;: [&#34;0.553300379038114&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;a81d71f5-0dc5-433f-9525-2316821e81b0&#34;, &#34;op_map&#34;: [[[false], {&#34;params&#34;: [&#34;1.0&#34;], &#34;type&#34;: &#34;Ry&#34;}], [[true], {&#34;params&#34;: [&#34;1.0&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]]], &#34;name&#34;: &#34;StatePreparationBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]]}, &#34;id&#34;: &#34;fe3b4651-9f4c-40bb-a562-196b49019693&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [4]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [5]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [6]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;State_register_0&#34;, [7]]], &#34;op&#34;: {&#34;type&#34;: &#34;H&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]]], &#34;name&#34;: &#34;DiagonalBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]]}, &#34;id&#34;: &#34;d610717d-26be-4f2e-ac76-da6cde952244&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [1]], [&#34;Block_encoding_register_0&#34;, [0]], [&#34;Block_encoding_register_0&#34;, [1]], [&#34;Block_encoding_register_0&#34;, [2]], [&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [7]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;ae3ddba6-ba59-4b32-b188-cd9656d4c97a&#34;, &#34;is_inverse&#34;: false, &#34;statevector&#34;: [[[0.7084919084320762, 0.0]], [[0.5009794328681196, 0.0]], [[0.3542459542160381, 0.0]], [[0.2504897164340598, 0.0]], [[0.17712297710801905, 0.0]], [[0.1252448582170299, 0.0]], [[0.08856148855400953, 0.0]], [[0.06262242910851495, 0.0]]], &#34;type&#34;: &#34;StatePreparationBox&#34;, &#34;with_initial_reset&#34;: false}, &#34;type&#34;: &#34;StatePreparationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;PrepareMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;0d0f19cc-055e-4470-9429-374afcbb4901&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;6dcab08f-0956-4850-a2c9-115dd0c8aa80&#34;, &#34;op_map&#34;: [[[false, false, false, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;b714925c-fc8a-4ee3-88ec-dd6e6a84b837&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [1.0, -1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, false, false, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;e1ed308e-a5ae-49ba-ba69-2e60726a32f6&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, false, true, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;f2a0a32a-e1b1-4189-b710-2e502345689a&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, false, true, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;a8671109-dc83-4523-ad59-ef879ff56bb9&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, false, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;1a739c71-a824-47e8-9155-8b9913bf3db8&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, false, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;9a8ebef6-55bf-43b6-b67b-8e0a78293776&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, true, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;c5e948f3-1d89-4206-8353-cfcc12096f0e&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, true, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;41326946-cadb-4a76-bc88-32d693708c8e&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}]]], &#34;type&#34;: &#34;MultiplexedTensoredU2Box&#34;}, &#34;type&#34;: &#34;MultiplexedTensoredU2Box&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]], [[&#34;q&#34;, [11]], [&#34;q&#34;, [11]]]], &#34;name&#34;: &#34;QC1(1)SelectMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]]}, &#34;id&#34;: &#34;e7783055-3ac3-4026-ac72-d480d88c1e42&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;3dd3f3ff-c1fc-47e5-89ba-00d4c287271d&#34;, &#34;is_inverse&#34;: true, &#34;statevector&#34;: [[[0.7084919084320762, 0.0]], [[0.5009794328681196, 0.0]], [[0.3542459542160381, 0.0]], [[0.2504897164340598, 0.0]], [[0.17712297710801905, 0.0]], [[0.1252448582170299, 0.0]], [[0.08856148855400953, 0.0]], [[0.06262242910851495, 0.0]]], &#34;type&#34;: &#34;StatePreparationBox&#34;, &#34;with_initial_reset&#34;: false}, &#34;type&#34;: &#34;StatePreparationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;PrepareMultiplexorBox\\u2020&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;13dbabf8-cbdb-4ee5-b5ed-efbe49e832c9&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]], [[&#34;q&#34;, [11]], [&#34;q&#34;, [11]]]], &#34;name&#34;: &#34;QC1(1)LCUMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]]}, &#34;id&#34;: &#34;5655407d-8787-4ae8-91ba-d448d0f0090c&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;n_qb&#34;: 4, &#34;type&#34;: &#34;CnZ&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;Z&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]]], &#34;name&#34;: &#34;QC1(1)ReflectionBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]]}, &#34;id&#34;: &#34;4ddd402e-9301-403b-bcc5-e0854e33d176&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: 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&#34;963fe43a-58cb-4de7-9a40-befe323d2dbe&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]], [[&#34;q&#34;, [11]], [&#34;q&#34;, [11]]]], &#34;name&#34;: &#34;QC1(1)None&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]]}, &#34;id&#34;: &#34;d5193db6-78af-4224-93c0-004910094613&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Block_encoding_register_0&#34;, [0]], [&#34;Block_encoding_register_0&#34;, [1]], [&#34;Block_encoding_register_0&#34;, [2]], [&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [7]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], 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&#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;a8671109-dc83-4523-ad59-ef879ff56bb9&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, false, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;1a739c71-a824-47e8-9155-8b9913bf3db8&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, false, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;9a8ebef6-55bf-43b6-b67b-8e0a78293776&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, true, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;c5e948f3-1d89-4206-8353-cfcc12096f0e&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: 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[[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]]], &#34;name&#34;: &#34;SelectMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]]}, &#34;id&#34;: &#34;31ed59bf-203f-407f-ad11-33b35d143b88&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;bafc3e35-8195-49bc-af71-bbe18886db63&#34;, &#34;is_inverse&#34;: true, &#34;statevector&#34;: [[[0.7084919084320762, 0.0]], [[0.5009794328681196, 0.0]], [[0.3542459542160381, 0.0]], [[0.2504897164340598, 0.0]], [[0.17712297710801905, 0.0]], [[0.1252448582170299, 0.0]], [[0.08856148855400953, 0.0]], [[0.06262242910851495, 0.0]]], &#34;type&#34;: &#34;StatePreparationBox&#34;, &#34;with_initial_reset&#34;: false}, &#34;type&#34;: &#34;StatePreparationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;PrepareMultiplexorBox\\u2020&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;181d155c-98de-41e4-ba54-005551a94aeb&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]]], &#34;name&#34;: &#34;LCUMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]]}, &#34;id&#34;: &#34;5c34e430-1481-469c-8f77-76a3708b3657&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;n_qb&#34;: 4, &#34;type&#34;: &#34;CnZ&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;Z&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]]], &#34;name&#34;: &#34;QC1(1)ReflectionBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]]}, &#34;id&#34;: &#34;bcc5b329-a986-4976-b189-ad89b370e8fc&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;ae3ddba6-ba59-4b32-b188-cd9656d4c97a&#34;, &#34;is_inverse&#34;: false, &#34;statevector&#34;: [[[0.7084919084320762, 0.0]], [[0.5009794328681196, 0.0]], [[0.3542459542160381, 0.0]], [[0.2504897164340598, 0.0]], [[0.17712297710801905, 0.0]], [[0.1252448582170299, 0.0]], [[0.08856148855400953, 0.0]], [[0.06262242910851495, 0.0]]], &#34;type&#34;: &#34;StatePreparationBox&#34;, &#34;with_initial_reset&#34;: false}, &#34;type&#34;: &#34;StatePreparationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;PrepareMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;25e1cb45-a7dc-44de-8e54-5d4d778ad9ab&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: 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&#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;f2a0a32a-e1b1-4189-b710-2e502345689a&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[false, true, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;a8671109-dc83-4523-ad59-ef879ff56bb9&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, false, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;1a739c71-a824-47e8-9155-8b9913bf3db8&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, false, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;9a8ebef6-55bf-43b6-b67b-8e0a78293776&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, true, false], [{&#34;box&#34;: {&#34;id&#34;: &#34;c5e948f3-1d89-4206-8353-cfcc12096f0e&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}, {&#34;type&#34;: &#34;noop&#34;}]], [[true, true, true], [{&#34;box&#34;: {&#34;id&#34;: &#34;41326946-cadb-4a76-bc88-32d693708c8e&#34;, &#34;matrix&#34;: [[[-1.0, 1.2246467991473532e-16], [-0.0, 0.0]], [[-0.0, 0.0], [-1.0, 1.2246467991473532e-16]]], &#34;type&#34;: &#34;Unitary1qBox&#34;}, &#34;type&#34;: &#34;Unitary1qBox&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;noop&#34;}, {&#34;type&#34;: &#34;Z&#34;}]]], &#34;type&#34;: &#34;MultiplexedTensoredU2Box&#34;}, &#34;type&#34;: &#34;MultiplexedTensoredU2Box&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]]], &#34;name&#34;: &#34;SelectMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]]}, &#34;id&#34;: &#34;31ed59bf-203f-407f-ad11-33b35d143b88&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;bafc3e35-8195-49bc-af71-bbe18886db63&#34;, &#34;is_inverse&#34;: true, &#34;statevector&#34;: [[[0.7084919084320762, 0.0]], [[0.5009794328681196, 0.0]], [[0.3542459542160381, 0.0]], [[0.2504897164340598, 0.0]], [[0.17712297710801905, 0.0]], [[0.1252448582170299, 0.0]], [[0.08856148855400953, 0.0]], [[0.06262242910851495, 0.0]]], &#34;type&#34;: &#34;StatePreparationBox&#34;, &#34;with_initial_reset&#34;: false}, &#34;type&#34;: &#34;StatePreparationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]]], &#34;name&#34;: &#34;PrepareMultiplexorBox\\u2020&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]]]}, &#34;id&#34;: &#34;181d155c-98de-41e4-ba54-005551a94aeb&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]]], &#34;name&#34;: &#34;LCUMultiplexorBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]]]}, &#34;id&#34;: &#34;2a12b387-e0cd-42a0-87c9-42a62a71d021&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;n_qb&#34;: 4, &#34;type&#34;: &#34;CnZ&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;type&#34;: &#34;Z&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [2]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [3]]], &#34;op&#34;: {&#34;type&#34;: &#34;X&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]]], &#34;name&#34;: &#34;QC1(1)ReflectionBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]]]}, &#34;id&#34;: &#34;6840be83-b1d4-4d80-8df1-fcbf982d974e&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]], [[&#34;q&#34;, [11]], [&#34;q&#34;, [11]]]], &#34;name&#34;: &#34;QC1(1)None&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]]}, &#34;id&#34;: &#34;512deeea-dd38-412d-82c7-fac260d13fe1&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]], [[&#34;q&#34;, [2]], [&#34;q&#34;, [2]]], [[&#34;q&#34;, [3]], [&#34;q&#34;, [3]]], [[&#34;q&#34;, [4]], [&#34;q&#34;, [4]]], [[&#34;q&#34;, [5]], [&#34;q&#34;, [5]]], [[&#34;q&#34;, [6]], [&#34;q&#34;, [6]]], [[&#34;q&#34;, [7]], [&#34;q&#34;, [7]]], [[&#34;q&#34;, [8]], [&#34;q&#34;, [8]]], [[&#34;q&#34;, [9]], [&#34;q&#34;, [9]]], [[&#34;q&#34;, [10]], [&#34;q&#34;, [10]]], [[&#34;q&#34;, [11]], [&#34;q&#34;, [11]]]], &#34;name&#34;: &#34;QC1(1)QubitiseBox^2&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]], [&#34;q&#34;, [2]], [&#34;q&#34;, [3]], [&#34;q&#34;, [4]], [&#34;q&#34;, [5]], [&#34;q&#34;, [6]], [&#34;q&#34;, [7]], [&#34;q&#34;, [8]], [&#34;q&#34;, [9]], [&#34;q&#34;, [10]], [&#34;q&#34;, [11]]]}, &#34;id&#34;: &#34;2a5a7616-3fb0-4385-ad7d-3da95c5154cf&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}, {&#34;args&#34;: [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;circuit&#34;: {&#34;bits&#34;: [], &#34;commands&#34;: [{&#34;args&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;40cceb8a-374c-4f26-8b63-e04d9e5d4e7b&#34;, &#34;op_map&#34;: [[[false], {&#34;params&#34;: [&#34;-1.0&#34;], &#34;type&#34;: &#34;Ry&#34;}], [[true], {&#34;params&#34;: [&#34;-1.0&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}, {&#34;args&#34;: [[&#34;q&#34;, [0]]], &#34;op&#34;: {&#34;box&#34;: {&#34;id&#34;: &#34;6eea60c2-46ad-48d4-8398-80272f02d487&#34;, &#34;op_map&#34;: [[[], {&#34;params&#34;: [&#34;-0.553300379038114&#34;], &#34;type&#34;: &#34;Ry&#34;}]], &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}, &#34;type&#34;: &#34;MultiplexedRotationBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;q&#34;, [0]], [&#34;q&#34;, [0]]], [[&#34;q&#34;, [1]], [&#34;q&#34;, [1]]]], &#34;name&#34;: &#34;StatePreparationBox\\u2020&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;q&#34;, [0]], [&#34;q&#34;, [1]]]}, &#34;id&#34;: &#34;0e591138-2300-491e-954f-3621973d2b5e&#34;, &#34;type&#34;: &#34;CircBox&#34;}, &#34;type&#34;: &#34;CircBox&#34;}}], &#34;created_qubits&#34;: [], &#34;discarded_qubits&#34;: [], &#34;implicit_permutation&#34;: [[[&#34;Block_encoding_register_0&#34;, [0]], [&#34;Block_encoding_register_0&#34;, [0]]], [[&#34;Block_encoding_register_0&#34;, [1]], [&#34;Block_encoding_register_0&#34;, [1]]], [[&#34;Block_encoding_register_0&#34;, [2]], [&#34;Block_encoding_register_0&#34;, [2]]], [[&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [0]]], [[&#34;Coeffs_register_0&#34;, [1]], [&#34;Coeffs_register_0&#34;, [1]]], [[&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [0]]], [[&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [1]]], [[&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [2]]], [[&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [3]]], [[&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [4]]], [[&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [5]]], [[&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [6]]], [[&#34;State_register_0&#34;, [7]], [&#34;State_register_0&#34;, [7]]]], &#34;name&#34;: &#34;LCUStatePreparationBox&#34;, &#34;phase&#34;: &#34;0.0&#34;, &#34;qubits&#34;: [[&#34;Block_encoding_register_0&#34;, [0]], [&#34;Block_encoding_register_0&#34;, [1]], [&#34;Block_encoding_register_0&#34;, [2]], [&#34;Coeffs_register_0&#34;, [0]], [&#34;Coeffs_register_0&#34;, [1]], [&#34;State_register_0&#34;, [0]], [&#34;State_register_0&#34;, [1]], [&#34;State_register_0&#34;, [2]], [&#34;State_register_0&#34;, [3]], [&#34;State_register_0&#34;, [4]], [&#34;State_register_0&#34;, [5]], [&#34;State_register_0&#34;, [6]], [&#34;State_register_0&#34;, [7]]]}&lt;/div&gt;\n",
       "        &lt;/div&gt;\n",
       "        &lt;circuit-display-container\n",
       "                :circuit-element-str=&#34;&#39;#circuit-json-to-display&#39;&#34;\n",
       "                :init-render-options=&#34;initRenderOptions&#34;\n",
       "        &gt;&lt;/circuit-display-container&gt;\n",
       "    &lt;/div&gt;\n",
       "    &lt;script type=&#34;application/javascript&#34;&gt;\n",
       "      const circuitRendererUid = &#34;d288c453-a144-4251-834a-e19a0f4416ca&#34;;\n",
       "      const displayOptions = JSON.parse(&#39;{}&#39;);\n",
       "\n",
       "      // Script to initialise the circuit renderer app\n",
       "\n",
       "const { createApp } = Vue;\n",
       "const circuitDisplayContainer = window[&#34;pytket-circuit-renderer&#34;].default;\n",
       "// Init variables to be shared between circuit display instances\n",
       "if (typeof window.pytketCircuitDisplays === &#34;undefined&#34;) {\n",
       "    window.pytketCircuitDisplays = {};\n",
       "}\n",
       "// Create the root Vue component\n",
       "const app = createApp({\n",
       "    delimiters: [&#39;[[#&#39;, &#39;#]]&#39;],\n",
       "    components: { circuitDisplayContainer },\n",
       "    data () {\n",
       "      return {\n",
       "        initRenderOptions: displayOptions,\n",
       "      }\n",
       "    }\n",
       "})\n",
       "app.config.unwrapInjectedRef = true;\n",
       "app.mount(&#34;#circuit-display-vue-container-&#34;+circuitRendererUid);\n",
       "window.pytketCircuitDisplays[circuitRendererUid] = app;\n",
       "    &lt;/script&gt;\n",
       "\n",
       "\n",
       "\n",
       "&lt;/body&gt;\n",
       "&lt;/html&gt;\n",
       "\"\n",
       "            width=\"100%\" height=\"100%\"\n",
       "            style=\"border: none; outline: none; overflow: auto\"></iframe>\n",
       "</div>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "render_circuit_jupyter(lcuspbox.reg_circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get the statevector from noiseless simulation and projecting to the all-zero state in the ancilla registers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = QulacsBackend()\n",
    "circ_compiled = backend.get_compiled_circuit(lcuspbox.get_circuit(), optimisation_level=0)\n",
    "vec = backend.run_circuit(circ_compiled).get_state()\n",
    "\n",
    "n_qubits_state = lcuspbox.n_qubits_state[0]\n",
    "n_qubits_coeffs = lcuspbox.n_qubits_coeffs[0]\n",
    "n_qubits_block_encoding = lcuspbox.n_qubits_block_encoding[0]\n",
    "\n",
    "projector = np.array(get_projector_matrix(list(range(n_qubits_coeffs + n_qubits_block_encoding)), list(range(n_qubits_coeffs + n_qubits_block_encoding, n_qubits_coeffs + n_qubits_block_encoding + n_qubits_state))))\n",
    "vec_projected = projector.transpose() @ vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nathanfitzpatric/Github/mvsp.worktrees/feature/select_unary_iteration/.venv/lib/python3.11/site-packages/matplotlib/cbook.py:1762: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return math.isfinite(val)\n",
      "/Users/nathanfitzpatric/Github/mvsp.worktrees/feature/select_unary_iteration/.venv/lib/python3.11/site-packages/matplotlib/cbook.py:1398: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x313575990>]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.linspace(-1,1,len(vec_projected)), vec_projected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "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": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}