{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# HierarQcal Quickstart\n",
    "The idea of this notebook is to quickly showcase different kinds of circuits that can be built with the package. More in depth tutorials are given in other notebooks, this only to functions as a quick view of some functionality.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Overview\n",
    "<img src=\"https://github.com/matt-lourens/hierarqcal/blob/master/img/dalle_img.png?raw=true\" width=\"300\" align=\"left\" style=\"padding-right:10px\">\n",
    "\n",
    "<p style=\"height:150px\">\n",
    "<b>HierarQcal</b> is a quantum circuit builder that simplifies circuit design, composition, generation, scaling, and parameter management. It provides an intuitive and dynamic data structure for constructing computation graphs hierarchically. This enables the generation of complex quantum circuit architectures, which is particularly useful for Neural Architecture Search (NAS), where an algorithm can determine the most efficient circuit architecture for a specific task and hardware. HierarQcal also facilitates the creation of hierarchical quantum circuits, such as those resembling tensor tree networks or MERA, with a single line of code. The package is open-source and framework-agnostic, it includes tutorials for Qiskit, PennyLane, and Cirq. Built to address the unique challenges of applying NAS to Quantum Computing, HierarQcal offers a novel approach to explore and optimize quantum circuit architectures. \n",
    "</p>\n",
    "<br/>\n",
    "<br/>\n",
    "<br/>\n",
    "<br/>\n",
    "<br/>\n",
    "<br/>\n",
    "<br/>\n",
    "\n",
    "\n",
    "*A robot building itself with artificial intelligence, pencil drawing -  generated with* [Dall E 2](https://openai.com/dall-e-2/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sympy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "from hierarqcal import (\n",
    "    Qhierarchy,\n",
    "    Qcycle,\n",
    "    Qpermute,\n",
    "    Qmask,\n",
    "    Qunmask,\n",
    "    Qpivot,\n",
    "    Qinit,\n",
    "    Qmotif,\n",
    "    Qmotifs,\n",
    "    plot_motif,\n",
    "    plot_circuit,\n",
    "    Qunitary,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "backend = \"qiskit\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "if backend == \"qiskit\":\n",
    "    import qiskit\n",
    "    from hierarqcal.qiskit.qiskit_circuits import V2, U2, V4\n",
    "\n",
    "    def get_circuit(hierq):\n",
    "        return hierq(backend=\"qiskit\")\n",
    "\n",
    "    def draw_circuit(circuit, **kwargs):\n",
    "        return circuit.draw(output=\"mpl\", **kwargs)\n",
    "\n",
    "elif backend == \"cirq\":\n",
    "    import cirq\n",
    "    from cirq.contrib.svg import SVGCircuit\n",
    "    from hierarqcal.cirq.cirq_circuits import V2, U2, V4\n",
    "    import logging\n",
    "    logging.getLogger('matplotlib.font_manager').disabled = True\n",
    "    def get_circuit(hierq):\n",
    "        return hierq(backend=\"cirq\")\n",
    "\n",
    "    def draw_circuit(circuit, **kwargs):\n",
    "        return SVGCircuit(circuit, **kwargs)\n",
    "\n",
    "elif backend == \"pennylane\":\n",
    "    import pennylane as qml\n",
    "    from hierarqcal.pennylane.pennylane_circuits import V2, U2, V4\n",
    "\n",
    "    def get_circuit(hierq):\n",
    "        dev = qml.device(\"default.qubit\", wires=hierq.tail.Q)\n",
    "\n",
    "        @qml.qnode(dev)\n",
    "        def circuit():\n",
    "            if isinstance(next(hierq.get_symbols(), False), sp.Symbol):\n",
    "                # Pennylane doesn't support symbolic parameters, so if no symbols were set (i.e. they are still symbolic), we initialize them randomly\n",
    "                hierq.set_symbols(np.random.uniform(0, 2 * np.pi, hierq.n_symbols))\n",
    "            hierq(\n",
    "                backend=\"pennylane\"\n",
    "            )  # This executes the compute graph in order\n",
    "            return [qml.expval(qml.PauliZ(wire)) for wire in hierq.tail.Q]\n",
    "\n",
    "        return circuit\n",
    "\n",
    "    def draw_circuit(circuit, **kwargs):\n",
    "        fig, ax = qml.draw_mpl(circuit)(**kwargs)\n",
    "u2 = Qunitary(U2, 1, 2)\n",
    "v2 = Qunitary(V2, 0, 2)\n",
    "v4 = Qunitary(V4, 0, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binary trees"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are some quick examples of combining cycles with masking patterns that forms binary trees. `Qmask` takes a `global_pattern` argument which is a bitstring where `1` specifies mask (ignore) and `0` specifies don't mask. Wildcard characters `!` and `*` can be used where `!` fills with ones and `*` with zeros."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2210.55x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nq = 3\n",
    "hierq = Qinit(2**nq) + (Qcycle(mapping=u2) + Qmask(\"*!\", mapping=v2))*nq\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2210.55x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nq = 3\n",
    "hierq = Qinit(2**nq) + (Qcycle(mapping=u2) + Qmask(\"!*\", mapping=v2))*nq\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1959.72x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nq = 3\n",
    "hierq = Qinit(2**nq) + (Qcycle(mapping=u2) + Qmask(\"!*!\", mapping=v2))*nq\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1959.72x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nq = 3\n",
    "hierq = Qinit(2**nq) + (Qcycle(mapping=u2) + Qmask(\"*!*\", mapping=v2))*nq\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MERA from Grant et al.\n",
    "The Multi-scale Entanglement Renormalization Ansatz (MERA) architecture from [Hierarchical quantum classifiers, Grant et al.](https://www.nature.com/articles/s41534-018-0116-9). We generate a N-qubit MERA circuit, change N to 4,8,16,32 to see how simple scaling the same circuit design is. Note that v4 is a 4-qubit unitary, which illustrates how primitves can handle N-qubit unitaries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# If you're using qiskit you can create Qunitaries with strings\n",
    "# u2 = Qunitary(\"crx(x)^01\")\n",
    "# v4 = Qunitary(\"cnot()^01;cnot()^32\")\n",
    "N=8\n",
    "c1 = Qcycle(1,2,1,mapping=u2, boundary=\"open\")\n",
    "c2 = Qcycle(1,2,0,mapping=u2, boundary=\"open\")\n",
    "m1 = Qmask(\"1001\", merge_within=\"1001\", steps=[2,2,1], boundaries=[\"open\",\"open\",\"open\"] ,mapping=v4)\n",
    "hierq = Qinit(N) + c1 + (m1+c2)*int(np.log2(N))\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sub motif as a mapping for a motif"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A cycle of cycles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2) + Qmask(\"right\", mapping=v2)) * 2\n",
    "circuit = get_circuit(m1)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\")\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A cycle of cycles of permutations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 371.107x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subsub = Qinit(3) + Qpermute(mapping=u2, share_weights=False, combinations=True)\n",
    "circuit = get_circuit(subsub)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1392.47x953.167 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sub = Qinit(11) + Qcycle(\n",
    "    1, 2, 0, mapping=subsub, share_weights=True, boundary=\"open\"\n",
    ")\n",
    "circuit = get_circuit(sub)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1392.87x1872.89 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(22) + Qcycle(1, 11, 0, mapping=sub, share_weights=False, boundary=\"open\")\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Symbol management\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2, share_weights=False) + Qmask(\"right\", mapping=v2)) * 2\n",
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\", share_weights=False)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UU04hGAzGosSYa5cbupXvg9f/ChX7Q8HA6G81nY8JSzpUIACn9Id/vRW7Y7ZvBUO6xe54ipz0tpB3MvQaA3tLQhegqygLfUIk75R4V1d/pwyA5Ztjd7yWLWB0EwvPJUmSJDV/zls5gmXLlhEMBsnLyyMjIyPe5cRFagYkfby2ZFKygbDU1J3YB3p1jN3xLhwFLeq4Pq0ap+QWkJkTWi4Cmv440DcHTojhUipfHgZtaphtLUmSJEnx5EzhI1i6dClQ89IRkhLXfc/+gteXP0XSx1fjuvDUn1Mw9MI4V1U3SQGYNBpungUVVXVvt3v/ofd1MboP9OscXn1SLJw7DFYVwa4wns/1OQf65sBJfcKrTZIkSZJiwVD4CAyFJdXkglOm8u0JvwOgZNcmvnPLAIbljadtq+w4V1Y3HdvARaPhgdegrgvg3PZceMfo3gHOGRZ2aVJMZLSEy8bBH1+u+5sj4Z4DHVrDxaOb/sxqSZIkSc2Ty0ccgaGwlBg2blnJpBtyKdq2DoBH5tzKNX85g+rq6hr3b/2ZqyzuP1BKkCDVwZr3bayO7x6aMRyNwOrYDvDdAmiZEvm+pUjp2RGuOAVSo7C8SYfW8IPToG1irjwlSZIkqQlwpvARzJ49O94lSIqBbp36ccXEW/jtQxfwvbNu5an5f+COKW+RlFT7+2ZPvDaDp+b/gZKdhfz4/Hto37pTDCuOjJG9oFUq/OMN2HsgMn0OPRYuPBHSDITVBPTNgR+OhwfmwbbSyPTZuxN8Y4yBsCRJkqTGzZnCkgScevwk8roO45q/nM7Vkx6kXesjX43t3LFT+Ou0lfx+8nwenn0ju/dui1GlkXVcLlxzVijMbYjWH38c/7JxBsJqWrpnw7SJMK5fw/pJTYavjgiFzAbCkiRJkho7ZwpLElBVVcn64vdok5FFya5NdW7Xu0s+2ZldWbJ2DuOGfDWKFUZP67RQmLv6I5i3Ct7dCNV1XGy4Q2sYkwejekOrltGtU4qWli1Cge6oXvDaKnhnfd3XGm6TBif2hjF9oZ1hsCRJkqQmwlBYkoB7/vNzcjv2Y9qFDzD1rgLycofTNbtPjftu+Gg53Y8ZCMDmkrWs2byIYz/+uinLOyZ027Uf3iuEwu2wcTuU7IGyitA+AWBgV8jNgl4dIS8HkryQlpqJ3KzQ8idfHhY6BzZuC50DH+2G/eWhfQKEnvfdsqBHNgzoAi2isC6xJEmSJEWTobCkhPfG8md4e+Vz3DHlLdJSM/je2bdxw0MXcPsP55OaknbY/n+ZNY3i7R+QnJRCcnILJp9zJ92PGRCHyqOjbXpo9u9nXfd4KCzOTA9dnEtqzjJSQ2tuj+z16WOfPQd+cFr8apMkSZKkSDAUlpTwThx4FicOPOvg1yfnn8/J+efXuv8N334mFmVJkiRJkiRFhReakyRJkiRJkqQE4kxhSarBf968h3/Pu/OwxyefcweDe42LQ0WSJEmSJEmRYSgsSTU4c9TlnDnq8niXIUmSJEmSFHEuHyFJkiRJkiRJCcSZwpKajaQUKJgS+X7n3QvleyG1FYz5TmT7TkqJbH+SJEmSJElHYygsqdkIBCA5NTr9RrN/SZIkSZKkWHL5CEmSJEmSJElKIIbCkiRJkiRJkpRADIUlSZIkSZIkKYEYCkuSJEmSJElSAjEUliRJkiRJkqQEYigsSZIkSZIkSQnEUFiSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCcRQWJIkSZIkSZISiKGwJEmSJEmSJCUQQ2FJkiRJkiRJSiAt4l2AIicYhOqK6PT7yX1VeWT7TkqBQCCyfUpSImtqY4HjgCRJkiTFnqFwM1JdAa/MiF7/5Xsj33/BFEhOjWyfkpTImtpY4DggSZIkSbHn8hGSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCaRFvAuQJKmx2V8Ohdth43bYvAPKKiEYhJRk6JQJ3bKgWwdolxHvSiVJkiRJCp+hsCRJhELfD7bCa6tgyUaoqj56m96dYEweDOkGLZKjX6MkSZIkSZFgKCxJSnhFO+Gfb8KGkvDard0SurVNh6+dAIO7RaU8SZIkSZIiylBYLFk7h5/dVXDIY2mprcjt2Jfxwy7lnDFXkZzsU0VS81NdDS8vh+eW1m1mcG127Yd7/wvDe8B5I6BVy4iVGBOOA5IkSZKUWHyFp4MKhk5iZP8zCRJkx55iXnznAe56+id8uGUFP/7an+NdniRFVGUVPDgflnwYuT7fWR9ah/gHpzXN9YYdByRJkiQpMSTFuwA1HnldhzF++CV8cfilXHDKVGZc9QYd2+by7Fv3sLN0a7zLk6SIqaqGB+ZFNhD+xJbdcOdLsHt/5PuONscBSZIkSUoMhsL1FAwGmTdvHldffTUnnXQSWVlZpKSkcMwxx3DWWWfx1FNPxbvEBktPbUX/7icSDAbZvG1tvMuRpIiZtQTe3Ri9/kv2wL2vNmxJisbAcUCSJEmSmieXj6in2bNnM378eAACgQC9e/emV69erFmzhlmzZjFr1iy+/e1vc8899xAIBOJcbf0VfRwCZGZkxbkSSYqM9SXwyorw2vzkDMhMD83+ve25urXZsA3mrIDTjgu/xsbEcUCSJEmSmh9nCtdTMBikV69e3HHHHWzZsoXVq1fz9ttvs23bNv7v//6PQCDAfffdx5/+9Kd4l1pnZRX72LW3hJ2lW/mgaCkzHv8hazYton+3keR27Bvv8iSpwSqr4B+vQzAYXrvM9NAawZnp4bV79l34aFd4beLJcUCSJEmSEoMzhetp5MiRvP/++6SkpBzyeHJyMj/60Y94//33ufvuu/nzn//MD37wgzhVGZ4HXriOB1647pDHxg46j6vO/UOcKoqfYBB2bYbCJbDtA6g8AMkpkJkDuUMhuzck+ZaK1OQs+TC05m+sVFaHZiVfeGLsjtkQjgOH2l4Kr6+Bt9fDro/XiN5TBq++Dyf0gozUuJYnSZIkSfVmKPwZJSUl3HzzzTz++OMUFhbSsWNHzjvvPG688UamTJnCfffdxx133MHkyZPJzMw8Yl+nn346d999NytXroxR9Q03cdR3+cKQ86msruCDoqXMnDOdkl2FpKakHdxn6bq5XHvvhMPaVlaVU11dxfM3V8Wy5Kio2A/vPgU7PrfeaOUB2L4hdEtvB/nnQOvseFQoqb5eWx37Y76zHr48rGkEiI4DIdVBeGZxKND//Kzy6iA88Q7MWgxfHwXDe8ajQkmSJElqGEPhjy1evJgJEyZQXFxMq1atGDhwIJs3b2bGjBmsXbuW7du3AzB06NA69VdWVgZARkZGtEqOuK7ZeQzrG1oneWT/CQzqOZYf/3Estz92Jb+45J8ADO41jqd/V3pIu5Jdm/nhjBF85aTJMa850ioPwDszobTkyPvt3wlvPwwnXAStOsSkNEkNVLQTPtga++NWVME7H8C4frE/drgcB0Ih8KMLYP5R3kAor4IH54dmg4/qHZvaJEmSJClS/AA8oRnCZ599NsXFxfz0pz+lqKiIhQsXUlxczPTp05k1axYLFiwgEAgwZMiQOvU5c+ZMAMaNGxfN0qPquB4nMX7YpcxZMpNl6+fXuE955QF+88B5DOoxlotOuzbGFUbeypePHgh/ovIALPl3+GuTSoqPtVvid+w1cTx2QyTiOLBow9ED4c+a+SZsjeGSJJIkSZIUCYbCwJQpUygsLGTy5MnceuuttGnT5uC2adOmkZ+fT2VlJT169DjqshEA//nPf/j3v/99sH1TdvH4X5GUlMz9z/+6xu23P3Yl5RVlTP3632JbWBSU74Xi98Nrs297aDkJSY3fxu3xO3ZhHI/dUIk0DgC8GuaqT9XB+CxLIkmSJEkNkfCh8IoVK5g5cybZ2dncdNNNNe4zfPhwAPLz84/a39q1a7n00kuBUNh80kknRa7YOOia3YeC/AtZtOZllq6be8i2J16bwZsrnuE3lz1JWmrTWSajNpvfg2B1+O0KF0e8FElRsCmOwey2Uth3IH7Hb4hEGgcKt8OGOn5a5LPeWgfllZGvR5IkSZKiJeHXFH744Yeprq7m4osvpnXr1jXuk56eDhw9FC4uLuaMM85g+/btfOlLX+LWW2+td10jRoyguLg4rDapLdL58+TIT1eadNoveGXxw9z/wq+59cpXAFi85hXumXU1N17+LDlZPerdd17fPMor90eo0ob5/pl/ZFTfL4fdbvk7HzJxctMO/3Vkt31nAVltOlNUVERu7gnxLicuzrx2ARltO1NU3HR/Bmde8yYZ7brWuO0nZ0Bmeu1tM9M+vb/+3Nr3270fbnuu5m3HjxzL3m3r61ZsA0RjLEiUcaD7iAs44fzbwm63vxzyTziZPVvXRqEqSZIkSapdTk4Ob7/9dtjtEj4Unj17NgAFBQW17lNYWAgcORT+JAhes2YNY8aM4YknniAlJaXedRUXF7Np06aw2qSl1G+WVn7vU3jxltoXxu1+zIBDriZfvH09Nzx0AVecdQv5vU+p1zE/UbR5M2UV+xrUR6RUVwbq1a5FUsuw/6/UtFRVVR28T9T/6+bwM6gO1n6OZ6ZDuzr8Ck1Kqtt+Ndlaso0dm6P/s6vPWOA4ENJhQFm9227bsZutTfTckCRJkpR4Ej4U3rAhtCBs9+7da9xeWVnJvHnzgNpD4d27d3PGGWewdOlShg0bxqxZs8jIaNjHaHNycsJuk9riCNPcIqSsfB/X/e0cRg/8MueMafhV5jt36dJoZohVU7/PdpdV7KFr15pnH6p5SE5OPnifqP/XzeFnEAjW/vn+3Uf5NZSZFgqEq6th9xFywyP1k53VjoxA9H920R4LmvM4kJEa/puDwWCQQCBAuzZppDbRc0OSJElS01WfDBEMhdm7dy8A+/fX/IJ05syZlJSU0KZNG3r27HnY9n379nHWWWexYMECBgwYwPPPP0/btm0bXFd9pn1XlcMrMxp86COau/Qx1hUtYVPJKuYsmXnY9nt/tpxO7Y+tc3+rV60mOTWSFdbfRyth6dPhtzvx9D4U3lgY+YLUaMy9Cw6UQufOnQ9+ciDRXPc47NoPnXOa7s/gDy/B6o9q3lbbkg+fuP7c0Azh3WVw/RPhHzs5CZYvfp0WyeG3DVe0x4LmPA6Ufvz/WxnG+vKBQIDObWHlu68TqN8HTiRJkiQp5hI+FM7JyWHHjh0sXLiQ0aNHH7KtqKiIqVOnAjBkyBACn3u1V15ezrnnnsvcuXPp3bs3L730EtnZ2TGrPR6+OPxSvjj80niXERUd+0BqKyjfG167rke//qCkRiA3q/ZQONo6tyMmgXAsNOdxoHUaDO0Ob38QXrsxfTEQliRJktSkJMW7gHgbP348ANOnT2fVqlUHH1+wYAEFBQWUlIQuQz506NBD2lVVVXHRRRfxwgsvkJuby0svvUSXLl1iVrciLykZep4YXpvOAyGjXVTKkRRh3bIS89gKz2kDISWMAL9Daxhx+AeJJEmSJKlRS/iZwtOmTeMf//gHGzdu5LjjjqN///6UlZWxZs0aJkyYQI8ePXj++ecPW0/4X//6F4899hgAqampXHLJJbUe49FHH633+h6KrdyhULYLNtRh9Y6s7tD/S1EvSVKE9OscCvsqqo6+b6QNyo39MVU/ndvBZePgr3Oh8ijPlbbp8L0CSKv/dWUlSZIkKS4SPhTOzc1l7ty5TJ06lVdffZX169czcOBA7r77bq644gp69+4NHH6RuQMHPr0o2bp161i3bl2txygrq//VzBVbgQDknQIZWfDBG1C2+/B9WqRBbj70Oik0u1hS09CqJRzfHd6q/dd1VGS1ggGdY3tMNcxxXWHyeHhqIazbevj2pAAM7gbnDg+tNS1JkiRJTU3Ch8IAAwYM4Jlnnjns8dLSUtavX09SUhKDBg06ZNtll13GZZddFqMKFWtdh0CXQbBtPZR8AJuXQnUltGgJ474Hyc4Kk5qksX1jHwqflAdJCb9YU9PTIxumfAk274B31sOeslAY3KE1jOwFbQ2DJUmSJDVhhsJHsGzZMoLBIH379iUjw1d/iSaQBNm9Qretq+FAaSgMNhCWmq5jO8DwHqGQLxayW8O4frE5lqKjS/vQTZIkSZKaE+cuHcHSpUuBw5eOSHRl5fv43d8n8c3/14fLpvflv+8+Gu+SJKnOzhsBbdKif5wAMGk0tGzGb79u+GgFZ12bwR///aN4lyJJkiRJCoOh8BEYCtfskVdvJSW5Jff/fA03XfE8dzz+A3bv3RbvsiSpTlq1hEknhtYQr6vd+2HnvtB9XZ06EHp3Cr++pqKyqoLfP/Zdxgw6N96lSJIkSZLCZCh8BIkSCm/cspJJN+RStC200OYjc27lmr+cQXV1dY37v7pkJmeNvhKAzlk9GdL7FF5774mY1StJDTWw68fBcB33v+05uP6J0H1djOoNE4fWt7rYC3ccAHjoxf/hC0POp2t2XqzKlCRJkiRFiKHwEcyePZtgMMjEiRPjXUpUdevUjysm3sJvH7qAJWvn8NT8P3D1pAdJquXKSFt2fsgx7bsf/DqnfQ+27PwwVuVKUkSM7AWXjoEWER4Jv9APvj4qdFGypiLccWDFh2+yfMPrnDPmqhhXKkmSJEmKhGa80qHCcerxk1iy9hWu+cvp3Py9l2nXumO8S5KkqBvWI3QRsYdfhw0NXAUnMx0uGAmDciNSWszVdRwoK9/HHY//gF9941EC4azBIUmSJElqNAyFBUBVVSXri9+jTUYWJbs2HXHfTu2O5aMdG+iQ2RmA4h3rGd73S7EoU5IiLqct/H9fgrmrYM4K2LEvvPYtW8DI3jBhMGS0jE6NsVDXcaBo21q27PyQqXcVAFC6fyfBYDWl+3cw7cL7Y1WuJEmSJKkBDIUFwD3/+Tm5Hfsx7cIHmHpXAXm5w+ma3afGfb8w5Hyeef0uBnY/kaLtH/Du2jlMOe+PMa5YkiInKQlO7g/j+sLyzfDGWthQAnvKat6/ZQvIzYJh3WF4T0hLiW290VDXcaBn58E8ev3Wg18/8ML1lO7fyQ++8vsYVitJkiRJaghDYfHG8md4e+Vz3DHlLdJSM/je2bdxw0MXcPsP55OaknbY/uefMpX//de3+cZNvUlKSmbyuXfStlV2HCqXpMhKSgot/zAoF4JB2LUfNu+AB+fB/grISA3NKu7YJrRvcxHuOCBJkiRJatoMhcWJA8/ixIFnHfz65PzzOTn//Fr3T09txS8vmRmL0iQpbgIBaJcRuqW2CIXCKclwTNt4VxZ54Y4Dn/WNL10fpaokSZIkSdHSjOY5SZIkSZIkSZKOxpnCqtF/3ryHf8+787DHJ59zB4N7jYtDRZKkWHIckCRJkqTmy1BYNTpz1OWcOeryeJchSYoTxwFJkiRJar5cPkKSJEmSJEmSEogzhZuRpBQomBLvKsKTlBLvCiSpeWlqY4HjgCRJkiTFnqFwMxIIQHJqvKuQJMWTY4EkSZIk6WhcPkKSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCcRQWJIkSZIkSZISiKGwJEmSJEmSJCUQQ2FJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBGApLkiRJkiRJUgIxFJYkSZIkSZKkBGIoLEmSJEmSJEkJxFBYkiRJkiRJkhKIobAkSZIkSZIkJZAW8S5AiqRgEKorotPvJ/dV5ZHtOykFAoHI9ilJkiRJkiTVxlBYzUp1BbwyI3r9l++NfP8FUyA5NbJ9SpIkSZIkSbVx+QhJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBGApLkiRJkiRJUgIxFJYkSZIkSZKkBGIoLEmSJEmSJEkJxFBYkiRJkiRJkhJIi3gXIMXbkrVz+NldBYc8lpbaityOfRk/7FLOGXMVycmeKpIkSZIkSWoeTLqkjxUMncTI/mcSJMiOPcW8+M4D3PX0T/hwywp+/LU/x7s8SZIkSZIkKSIMhaWP5XUdxvjhlxz8+uyTfsB3bu7Ps2/dw7fO+B3tWneMY3WSJEmSJElSZLimcAM89dRTfP/732fkyJF07dqVli1b0qZNG4YOHcq1115LSUlJvEtUA6SntqJ/9xMJBoNs3rY23uVIkiRJkiRJEeFM4Qa47bbbePXVV0lNTaVLly4MGTKELVu28O6777JkyRLuueceXnjhBYYOHRrvUlVPRR+HwZkZWXGuRJIkSZIkSYoMZwo3wLe//W1efvll9uzZwwcffMCCBQvYsGEDS5YsYdCgQWzdupWLLroo3mWqjsoq9rFrbwk7S7fyQdFSZjz+Q9ZsWkT/biPJ7dg33uVJkiRJkiRJEeFM4Qb4xje+UePjgwcP5t5772XUqFGsWLGCFStWMGDAgBhXp3A98MJ1PPDCdYc8NnbQeVx17h/iVFH8le2GohVwYDcQgLQ2kDMwdK/EsHEbvLsR9peHvi6vhAMV0DIlvnVJkiRJkqT6MxT+jJKSEm6++WYef/xxCgsL6dixI+eddx433ngjU6ZM4b777uOOO+5g8uTJR+3rsyHwvn37olm2ImTiqO/yhSHnU1ldwQdFS5k5ZzoluwpJTUk7uM/SdXO59t4Jh7WtrCqnurqK52+uimXJUbN3O6z5L2xdCwQP3bb2NejYB/qcDBnt4lGdYuH9IvjPEvhw26GP76+AXz8Oo3rDxHzDYUmSJEmSmiJD4Y8tXryYCRMmUFxcTKtWrRg4cCCbN29mxowZrF27lu3btwPUeX3gefPmAdCqVSv69esXrbIVQV2z8xjWdzwAI/tPYFDPsfz4j2O5/bEr+cUl/wRgcK9xPP270kPalezazA9njOArJx39zYKmYHcxLHwUKstq3h4MwpbVsKMQhp0PbTrFtj5F35tr4Z9vHPZ+wEEHKuG/K+GDrfD9UyGjZUzLkyRJkiRJDeSawoRmCJ999tkUFxfz05/+lKKiIhYuXEhxcTHTp09n1qxZLFiwgEAgwJAhQ2rtp7q6mqKiIh544AEuu+wyAG688UZat24do+9EkXRcj5MYP+xS5iyZybL182vcp7zyAL954DwG9RjLRaddG+MKI+9AKSx6vPZA+LMq9sOix+DA3ujXpdhZWXTkQPizNm6Hv84NvVEgSZIkSZKaDkNhYMqUKRQWFjJ58mRuvfVW2rT5dMHUadOmkZ+fT2VlJT169CAzM/Ow9nfddReBQIDk5GS6dOnCN7/5TXJzc3n66aeZMmVKLL8VRdjF439FUlIy9z//6xq33/7YlZRXlDH163+LbWFRsnERVISx2kn5Xti0JHr1KPaeX1q3QPgTqz+CNR9FrRxJkiRJkhQFCR8Kr1ixgpkzZ5Kdnc1NN91U4z7Dhw8HID8/v8btnTt3ZsyYMYwaNYouXboQCAR49913+cc//sGuXbuiVruir2t2HwryL2TRmpdZum7uIdueeG0Gb654ht9c9iRpqRlxqjByqith89Lw2216F6qbx1LKCW/zDli3Nfx2r62OfC2SJEmSJCl6Ej4Ufvjhh6murubiiy+udZmH9PR0oPZQ+Ctf+QqvvfYab7zxBps2bWLJkiWceOKJPPzww0ycODFqtSs2Jp32C5ICSdz/wqezhReveYV7Zl3Nry59hJysHvErLoJ2FUF5Pa6JeKAUdjtTtFl4r7B+7ZZuhGqXkJAkSZIkqclI+AvNzZ49G4CCgoJa9yksDCUltYXCnzd48GBmzZpFr169mDdvHi+99BLjx48Pq64RI0ZQXFwcVhtBaot0/jw5vGmL+b1P4cVbak+0uh8zgOdv/nQqbPH29dzw0AVccdYt5Pc+pb6lHpTXN4/yyv0N7qehhvU+gyln31Ovthdf8A2WrJ8d4Yoaj9u+s4CsNp0pKioiN/eEeJcTNUPO+jV9x3037HbVQejVpz+VB0qPvnMTdea1C8ho25mi4ub9HJAkSZIkNS05OTm8/fbbYbdL+FB4w4YNAHTv3r3G7ZWVlcybNw+oeygM0KZNG04++WQee+wxlixZEnYoXFxczKZNm8JqI0hLie4yDmXl+7jub+cweuCXOWfM5Ij0WbR5M2XhLOQbJV1a1//5trm4sFk/X6uqqg7eN+fvs/uOknq33bhhLdVVlRGspnFJlOeAJEmSJCkxJHwovHfvXgD27695pubMmTMpKSmhTZs29OzZM6y+KytDAcknYUI4cnJywm6j0EzhaJq79DHWFS1hU8kq5iyZedj2e3+2nE7tjw2rz85dujSKmcJllFBdXUVSUnJY7SqrKihP2knXrl2jVFn8JScnH7xvzt9n1Z6N9Wq3+6NVdM45JsLVNC6J8hyQJEmSJDUt9c0QEz4UzsnJYceOHSxcuJDRo0cfsq2oqIipU6cCMGTIEAKBQJ373b59O6+++ioAQ4cODbuu+kz7FlSVwyszotf/F4dfyheHXxrRPlevWk1yakS7rLfFT0DJ2vDadBmQwrJVC6NTUCMx967Q2smdO3c+uJxMc1RZBdc/CaVl4bW7bGJf7vtJ8/25AFz3OOzaD51zmvdzQJIkSZKUGBL+QnOfLOswffp0Vq1adfDxBQsWUFBQQElJ6OPUnw923377bX7961+zZs2aw/pctGgREyZMYOfOnQwePJjTTjstet+AFEHdhtWjzfGRr0Px0SIZTuoTXpuWLeCE8D5EIUmSJEmS4izhQ+Fp06bRoUMHNm7cyHHHHcfgwYPJy8tj5MiR9OrVi1NPPRU4fD3h0tJSfvvb35KXl8cxxxzDiBEjGDVqFF27dmXYsGG89dZb9O3blyeffPLgx46lxq5Dd+gxqu779xwN7btFrx7F3pcGQV4dV4JICsBl4yC9kcx0lyRJkiRJdZPwoXBubi5z585l4sSJpKWlsX79erKysrj77ruZNWvWwdnDnw+F8/Pzuf322znnnHPIzMxk1apVLFq0iKqqKsaPH88f/vAHlixZQq9eveLxbUn11nss9BoDHGG1lEAA+oyDXifFrCzFSItkuOIUGHKUsD8tBb5bAAO6xKQsSZIkSZIUQYFgMBiMdxGNVWlpKZmZmQQCAfbs2UNGRka8S9JRRHtN4WgomEKjWVP4s8p2w6Z3YfMyOLDn4wcD0PNE6DoE0trEtbyY+mRN4ZatYdyV8a4mdjZug3mrYclG2F8OyUmQ0xZOyoMRPaBlSrwrjJ1P1hRumw6/OS/e1UiSJEmS1DAJf6G5I1m2bBnBYJC+ffsaCCvhpGWGZg33Hgv//ROU74WWraD3mHhXpljp1gEu7AAXngjV1aEZ4mFcb1OSJEmSJDVSCb98xJEsXboUOHzpCCW25966jyv+dzCnX92Cx+f+Pt7lxIRBoJKSfB5IkiRJktRcGAofgaGwapKXO5xfXvIvTh16UbxLkSRJkiRJksJmKHwEhsKJYeOWlUy6IZeibesAeGTOrVzzlzOorq6ucf/eXfLpfswAAgFPH0mSJEmSJDU9ril8BLNnz453CYqBbp36ccXEW/jtQxfwvbNu5an5f+COKW+RlGToK0mSJEmSpObH1EsCTj1+Enldh3HNX07n6kkP0q51x3iXJEmSJEmSJEWFobAEVFVVsr74PdpkZFGya1O8y5EkSZIkSZKixlBYAu75z8/J7diP234wlz8/8zM2layJd0mSJEmSJElSVBgKK+G9sfwZ3l75HFed+we6Zvfhe2ffxg0PXUB5RVmN+z+/4G9MuiGXue8+wgMvXM+kG3JZs2lRjKuWJEmSJEmS6scLzSnhnTjwLE4ceNbBr0/OP5+T88+vdf/TT7iM00+4LAaVSZIkSZIkSZHnTGFJkiRJkiRJSiDOFJZq8J837+Hf8+487PHJ59zB4F7j4lCRJEmSJEmSFBmGwlINzhx1OWeOujzeZUiSJEmSJEkR5/IRkiRJkiRJkpRADIUlSZIkSZIkKYG4fISalaQUKJgS7yrCk5QS7wokSZIkSZKUSAyF1awEApCcGu8qJEmSJEmSpMbL5SMkSZIkSZIkKYEYCkuSJEmSJElSAjEUliRJkiRJkqQEYigsSZIkSZIkSQnEUFiSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCcRQWJIkSZIkSZISiKGwJEmSJEmSJCUQQ2FJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBtIh3AZIiJxiE6oro9PvJfVV5ZPtOSoFAILJ9SpISV7TGwmhyLJQkSVKsGQpLzUh1BbwyI3r9l++NfP8FUyA5NbJ9SpISV7THwmhwLJQkSVKsuXyEJEmSJEmSJCUQQ2FJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBGApLkiRJkiRJUgJpEe8CJEmSJDUelVWwsgg2bIMPt0HxLjhQCcEgtGwBOW0hNwu6Z8OALpCSHO+KpciqDsKaj2D9Vti4HTbvhP3locdTk6FjZugcODYLBnaF9NR4VyxJUvgMhSVJkiSxYy/MXw2vr4XSspr3KauAXfthZXHo64xUGNUbxuRBdpvY1SpFw94D8OZamLcatpXWvE9ZBewug7VbQl+nJsPwnjC2L3RtH7taJUlqKENhSSxZO4ef3VVwyGNpqa3I7diX8cMu5ZwxV5Gc7K8LSVLzlOjjYHU1/HclzFoCFVXhtd1XDq+sCLU/fRCcdhwku0CdmphgEBZugMcWhJ7T4SivgtfXhG5j+8LZQ6FlSlTKlCQpoprvX7eSwlYwdBIj+59JkCA79hTz4jsPcNfTP+HDLSv48df+HO/yJEmKqkQcB7eXwoPz4YOtDeunqhr+8y68WwjfGAOdMiNTnxRt+w7AP9+Edzc2vK/XVsGKzXDJSdCzY8P7kyQpmnwfX9JBeV2HMX74JXxx+KVccMpUZlz1Bh3b5vLsW/ews7SBrxYlSWrkEm0c/Gg3zHix4YHwZxVuhxkvhO6lxm5PGdz5cmQC4U9sK4U/vhwKhyVJaswMhSXVKj21Ff27n0gwGGTztrXxLkeSpJhqzuPgtlL440uwc1/k+y49AH+aDR/tinzfUqTsK4e7ZsPmHZHvu6IK7n0VVhdHvm9JkiLFUDiC/vKXvxAIBAgEApxyyinxLkeKiKKPXwRnZmTFuRJJkmKvOY6DVdVw/2uhC8ZFy94D8Ne5UBnmGsVSrDzyFmyKQiD8icpq+NtrodnIkiQ1Rq4pHCHFxcVMmzYt3mVIDVJWsY9de0sIBkNrKT79+l2s2bSI/t1Gktuxb7zLkyQpqhJlHJyzAj7cFl6bn5wBmemwez/c9lzd2hTvgueWwllDwy5RiqolH8KiDeG1qc85sPdA6OJ1l40Lv0ZJkqLNUDhCrrrqKnbv3s1ZZ53FM888E+9ypHp54IXreOCF6w55bOyg87jq3D/EqaL4q6qA6o9nOVVXh65OHQjEtybF1t4DoVl1EHoOJJrqKti3A6rKITkVMtpDUnK8q5KiIxHGwZI98Oy74bfLTId2GeG3e3k5DOsOXdqH31aNQzAI+3dBxf7Q7/+0TEhJi3dV9VdWAY8sCL9dfc+BxR/Ce4UwKDf8tpIkRZOhcAQ89dRTPProo1x11VVkZWUZCqvJmjjqu3xhyPlUVlfwQdFSZs6ZTsmuQlI/85f/0nVzufbeCYe1rawqp7q6iudvbh6fE927HQoXQ9EyqDwQeqxiH8y/F3LzocsgSEmPa4mKomAQ1m4JXUX83Y1QHQw9vucA3P4CjMmDocdCi2YcjpbtgU3vhm7lez99PDUDug6BrvmQ1iZ+9UnRkAjj4LzVoY+1x0owCP9dCReeGLtjKjKqKqD4/dDfQ3s++vTxpGQ4ph/kHg9tO8etvHp75wMojfGSDq+sMBSWJDU+hsIfKykp4eabb+bxxx+nsLCQjh07ct5553HjjTcyZcoU7rvvPu644w4mT558SLs9e/bwwx/+kC5dunDDDTdw2223xek7kBqua3Yew/qOB2Bk/wkM6jmWH/9xLLc/diW/uOSfAAzuNY6nf1d6SLuSXZv54YwRfOWkyYf12RRtXgYrnodgDS+a9++E1a/Ch+/A0POgTaeYl6coq66GJxbC3JU1b/9ga+g2bzVcfjK0ahnb+mJh+wZY8u/Q7ODPK98HH7wBHy6EIV+GDj1iXp4UNc19HCyvhDfjcL28d9bDl4+HjGb4+7K5KtsDix+H0q2Hb6uugqLloVvP0dDrpKbzKapgEF5bHfvjrt0CRTuhc7vYH1uSpNp4oTlg8eLFDB48mFtuuYXi4mIGDhxIRUUFM2bM4Otf/zorVqwAYOjQoYe1veaaaygsLOT3v/89mZmZMa5ciq7jepzE+GGXMmfJTJatn1/jPuWVB/jNA+cxqMdYLjrt2hhXGHkfvQ/Ln605EP6sA6Ww8F+hj9WreXnyCIHwZ32wFe5+JRSyNCc7N4eCgJoC4c+qKofFT8DOwtjUJcVDcxsH3yuEfUc5t6OhogoWfRj746p+Kspg0SM1B8Kf98HroTcKm4rC7aFwNh7eWhef40qSVJuED4VLSko4++yzKS4u5qc//SlFRUUsXLiQ4uJipk+fzqxZs1iwYAGBQIAhQ4Yc0vb111/nT3/6ExMmTOD888+P03cgRdfF439FUlIy9z//6xq33/7YlZRXlDH163+LbWFRUFkOy1+o+/4VZbDy5ejVo9j7YGvoY8519eE2mPN+9OqJtWAQlj/36TraR92/CpY9F2onNVfNaRzcEObF5SJ67JL4HVvhWfd6aBmtOu8/L7z942l9HJ+HngOSpMYm4UPhKVOmUFhYyOTJk7n11ltp0+bTBRKnTZtGfn4+lZWV9OjR45CZwBUVFVxxxRW0bNmSO++8Mx6lSzHRNbsPBfkXsmjNyyxdN/eQbU+8NoM3VzzDby57krTUelx5o5EpXnH02ZGft2097NsZjWoUD/NWhd9m/urmcwG6HRthX5gv7PfvDC03ITVXzWkc3BjHUHhjEwkNE11VORS9F367TUsiX0s0xPN5WLij+fy9IElqHhI6FF6xYgUzZ84kOzubm266qcZ9hg8fDkB+fv4hj/+///f/WLZsGb/85S/p1atX1GuV4mnSab8gKZDE/S98Oktq8ZpXuGfW1fzq0kfIyeoRv+IiaPPS2LZT41JWUb+PN+/cByuLI19PPNT3ubzp3cjWITU2zWUcLNoVv2N/tAuqDMQavS1rPr3Abjg2v3f0pbcag3gtHQGh5aa27T36fpIkxUpCX2ju4Ycfprq6mosvvpjWrVvXuE96ejpwaCi8cuVKfve73zFgwACmTp0aldpGjBhBcXEzSRkUM6kt0vnz5PCvnpHf+xRevKX2z393P2bAIVdTL96+nhseuoArzrqF/N6n1KfUg/L65lFeub9BfUTKjO8uITOjQ9jtHr7/Se6e1LgvLqSja9OxN6f/7NV6tf3elGtY98aDEa4o9n5xwZPkdRkRdrs3/ruYM39wVhQqksJXn7EwnuMgxG4s/OpNGwgkJde47SdnQGZ67W0z0z69v/7c2vfbvR9ue+7wx6uD0LtPPyrLTcUasy+P+hHnjf5Z2O0qD0D/voPYW7Yz8kVF0Ok/e5U2HXvXuC1S5wDUfh4UnHY6Ozcvq2O1kiTVTU5ODm+//XbY7RI6FJ49ezYABQUFte5TWBi6gs5nQ+Hvf//7HDhwgLvuuouUlJSo1FZcXMymTZui0rear7SU6H90tax8H9f97RxGD/wy54xpeBBatHkzZRX7IlBZJNTv0tnlB8o9X5uBLNrWu+2u3XuaxXOgqrJ+07yqKqubxfev5iHaY2Gkx0GI5VhY+ziXmQ7t6vCjS0qq2341KSoupnz/7vo1VkzsLa1/aL+leAs799bh6nRxVFlZ+6L5sTgHtm4tYYvjpSSpkUjoUHjDhtAiiN27d69xe2VlJfPmzQMODYUXLlxIUlISF1xwwWFtSktLAZg/fz45OTkArFq16pD1iOvik7ZSOFJbHGF6Q4TMXfoY64qWsKlkFXOWzDxs+70/W06n9sfWub/OXbo0mpnCe/ZvJTMjK+x2B6p307Vr1yhUpFhKzUgiWF1NICn8lZXSksqbxXNgX0X9FlvcV7GjWXz/ah6iPRZGehyE2I2FVRX7adGyVY3bdh/l8JlpoTCsuhp2l9W+35H66dQxi2BVm9p3UNxVJ9XveVhRWUZmVgat2jXusSAQrKh1W6TOgSP1ldWuNSmOl5KkCKtvhhgIBhP3muFZWVns2LGD+fPnM3r06MO2//3vf+eSSy6hTZs27Nq1i0AgNLuiXbt27NpV90XZduzYQbt27SJVtlSrqnJ4ZUa8qwhPwRRITo13FSEfvAlr5x59v88beQlk+j5Os3D3K7Bic3htMlJDHyNNbQZvs360EpY+HX67QRMhZ0Dk65Hqw7Gwdv/7bP0vtHX9uaHZkTv3wfVPhN8+uw388sv1O7Zip3wfvHY3VNc+obZGnQfCcWdGp6ZIuv81WFTPi6M29BxIToLpF0CLmldwkSQp5hL6QnOfJOkLFy48bFtRUdHB9YKHDBlyMBAG2LlzJ8FgsMbbddddB8DJJ5988DEDYalp6DoIAmH+oZ6ZYyDcnIzNC7/NyF7NIxAG6NgHUmueRFir1AzoVI+fm6TY6xb+h2GaxbFVd6kZ0Klf+O1yj498LdEQz+dhl3YGwpKkxiWhQ+Hx48cDMH36dFatWnXw8QULFlBQUEBJSQkAQ4cOjUd5kmIstRX0OvxDA7UKJEPeKVErR3EwoAsM7FL3/dtnwKkDo1dPrCUlQ9/al9mvUd4pkNRMQnGpuTs2/GupNotjKzy9ToKUMFZhyRnYdN4gj+fz0DdGJEmNTUKHwtOmTaNDhw5s3LiR4447jsGDB5OXl8fIkSPp1asXp556KnDoesKSmrceo6D7yKPvl5QMg8+G9rnRr0mxk5QE3xwL/erw4rZ9K7jytCNfqbwpyukP/cdTp+su9js19JFhSU3D4G6QEoeZikkBOL7mS3ioEcpoB8d/FepyzcZOeTDwdAjU71q9MderY+gN3XgY3jM+x5UkqTYJHQrn5uYyd+5cJk6cSFpaGuvXrycrK4u7776bWbNmHZw9bCgsJY5AAPK+APnnQlYN1wlKSobOx4XWEe7UJ/b1KfpapsB3C+CrI+CYGq4R2qolnDYQfnJ6zdubg9yhMOJC6JhX8wv9jn1g+IXQbVjMS5PUAK1axiecPa5raC1WNR2ZOTDqEug2HFq0PHx7m04w4HQY/OXQ30ZNRVISjI7Dkked24YCaUmSGpOE/8DngAEDeOaZZw57vLS0lPXr15OUlMSgQYPq3N/111/P9ddfH8EKJcVDx96h295tsGcLVFWEXhS1PxZSm9nMUB0uOQnG9YOxfeGDrVBSGrraeJv00CziRFgTsF3X0K1sD+zcBO+/CJUHQutN5p8T7+ok1de4vvDWuhgfsx5r1Cr+0jKhXwH0GQPbPoTlz4bGgZR0GHlp05kd/Hmje8OL70FFmBfTa4hx/Zruz0uS1HwlfChcm2XLlhEMBunbty8ZGU5tkBJVqw6hmxJTIAC9OoVuiSqtTWhJidVzQmFAIKE/YyQ1fd06hN7wem3V0feNhOE9oG8TWW9WNUtODX06amVKaBxISm7aAWebdJg4FJ58JzbH65ENJ/aOzbEkSQqHoXAtli5dCrh0hFSTe5+9lnlLHyelRUuSk1P41hm/44R+p8e7LEmSYuK+Z3/B68ufIikQ+tjAhaf+nIKhF8a5qro7eyis2AzbSuveZvf+Q+/rIjMNzhsRVmlSTHyhH7z7IazbWvc29TkHUpJh0ujQshWSJDU2hsK1MBSWaje45zguGf8rWqaks3bzEn7ypy/wz19tJj21VbxLkyQp6i44ZSrfnvA7AEp2beI7twxgWN542rbKjnNlddMyBS4dA398Ccrr+BH6254L7xjJSXDJmNA6xlJjkxSAi0+C21+oe8gb7jkA8LUTmu/1ByRJTZ/vWdbCUFiJZOOWlUy6IZeibaFFBh+ZcyvX/OUMqqura9x/ZP8JtEwJLazbM2cwBIPsKg1jqoUkSY1IuONg6/R2B/+9/0ApQYJUB2vet7HqkQ2XnxKayRhpyUlw2ViXjVDj1qE1fP9UaJMWnf7PGwGjXDZCktSIGQrXYvbs2QSDQSZOnBjvUqSo69apH1dMvIXfPnQBS9bO4an5f+DqSQ+SVIfPuj3/9l/JyerFMe3jcDlzSZIioD7j4BOvzeBbN/fjB78fxo+++mfat256i4/3zYEfnAZtI3gB1dYt4bunwOBuketTipbO7WDKFyGnbeT6TE2Gi0aHlqiQJKkxMxSWBMCpx08ir+swrvnL6Vw96UHate541DYLV7/Mgy/+hl9eMpNAU77iiCQp4YU7Dp47dgp/nbaS30+ez8Ozb2T33m0xqjSyenaEq8+Ckb0a3tfQY+HnZ0G/zg3vS4qVjpnwswkw/riGX0CvdyeYNjEy55MkSdHmmsKSAKiqqmR98Xu0yciiZNemo+6/ZO2r3Pqvb/Hbbz1Nt05OhZAkNW3hjoOf6N0ln+zMrixZO4dxQ74axQqjJyM1NLPxhF7w6vuwbBMEg3Vv378znNwfBnSJXo1SNLVIhrOGht7YePV9WLQBKsNYEaZHNozrC8f3CK1XLElSU2AoLAmAe/7zc3I79mPahQ8w9a4C8nKH0zW7T437vrvuv0z/56X8z2X/pncX192WJDV94YyDGz5aTvdjBgKwuWQtazYv4tiPv27K8o4J3Xbshbc/gA3boHA77Nx36H6Z6dAtC7p1gOE9oGObuJQrRVxuVugCdF8ZBu+shw+2hs6BktJD98tIDe3bLQuO7x76tyRJTY2hsCTeWP4Mb698jjumvEVaagbfO/s2bnjoAm7/4XxSUw6/+sb/PvIdKioPcMvMbx187OeTHqRn58GxLFuSpIgIdxz8y6xpFG//gOSkFJKTWzD5nDvpfsyAOFQeHe1bwRcHffr1vnK46WnYUwaZafA/58WvNikWWqeFZr+f3D/09YEKuOGp0DnQ5uNzwJXTJElNnaGwJE4ceBYnDjzr4Ncn55/Pyfnn17r//VevjkVZkiTFRLjj4A3ffiYWZTUaGamffiTeIEyJqGXKp+dAUsDzQJLUPHihOUmSJEmSJElKIM4UllSj/7x5D/+ed+dhj08+5w4G9xoXh4okSYodx0FJkiQ1Z4bCkmp05qjLOXPU5fEuQ5KkuHAclCRJUnPm8hGSJEmSJEmSlECcKSw1I0kpUDAl3lWEJykl3hVIkpqTaI2F8+6F8r2Q2grGfCeyfTsWSpIkKdYMhaVmJBCA5NR4VyFJUvxEaywMBKLbvyRJkhRLLh8hSZIkSZIkSQnEUFiSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCcRQWJIkSZIkSZISiKGwJEmSJEmSJCUQQ2FJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBGApLkiRJkiRJUgIxFJYkSZIkSZKkBGIoLEmSJEmSJEkJxFBYkiRJkiRJkhJIi3gXIEmSIicYhOqK6PT7yX1VeeT6TUqBQCBy/UlSomtq4wA4FkiSFA+GwpIkNSPVFfDKjOj1X743sv0XTIHk1Mj1J0mJrqmNA+BYIElSPLh8hCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgXihOUmSJEn6nH3lULg9dCstg8pqaJEM7TMgNwu6todUX01JkqQmyj9jJEmSJAk4UAkL18P81bBx+5H3TQpAn2NgbF84risk+xlMSZLUhBgKS5IkSUpoVdUwezm8vBzKKurWpjoIq4pDt3YZcNZQGN4DAoFoVipJkhQZhsKSJCW4JWvn8LO7Cg55LC21Fbkd+zJ+2KWcM+YqkpP9k0FS81S0E/7x+tFnBh/Jzn3w0HxY/CGcPxLapkesvJhwHJAkKfE4skuSJAAKhk5iZP8zCRJkx55iXnznAe56+id8uGUFP/7an+NdniRF3LJN8Le5UFEVmf7eK4QNJfD9U6FL+8j0GUuOA5IkJQ5XvpIkSQDkdR3G+OGX8MXhl3LBKVOZcdUbdGyby7Nv3cPO0q3xLk+SImpZIdz7auQC4U/sKYM7X4LNOyLbbyw4DkiSlDgMhRvgsssuIxAIHPH2/vvvx7tMSZLqJT21Ff27n0gwGGTztrXxLkeSImbTDvjba6F1gaNhXznc9QqUlkWn/1hxHJAkqfly+YgIyMvLo1OnTjVuy8jIiHE1kiRFTtHHIUBmRlacK5GkyKiqDq0hHM4M4Z+cAZnpsHs/3PZc3drs3g+Pvw3fGFu/OhsLxwFJkponQ+EIuPbaa7nsssviXYYkSQ1SVrGPXXtLCAZDa0k+/fpdrNm0iP7dRpLbsW+8y5OkiHhxWWimcDgy06FdPeZ6LNwAQ7vDkG7ht40HxwFJkhKHobAkSQLggReu44EXrjvksbGDzuOqc/8Qp4riq6oCPnofilfAgb0QSIL0dtB1MHToCYFAvCuUFK795TB7eWyP+Z8lMDi3afzOcBw4VDAIqz+C+atDa0UDlB6AeatgRE9omRLf+iRJaghD4c8oKSnh5ptv5vHHH6ewsJCOHTty3nnnceONNzJlyhTuu+8+7rjjDiZPnhzvUiVJiriJo77LF4acT2V1BR8ULWXmnOmU7CokNSXt4D5L183l2nsnHNa2sqqc6uoqnr85wldsipNN78Lq/0Ll59YDLd0KW1dDelsYOAHa58anPkn18/YHUF4Z22MW74K1W6DPMbE9bn04Dnxq4zZ4cD5s2X3o41XV8MgCeGoRTBgCJ/dvGoG/JEmfZyj8scWLFzNhwgSKi4tp1aoVAwcOZPPmzcyYMYO1a9eyfft2AIYOHXpY20cffZQnn3yS3bt3k52dzYknnsill15Kx44dY/xdSJJUf12z8xjWdzwAI/tPYFDPsfz4j2O5/bEr+cUl/wRgcK9xPP270kPalezazA9njOArJzWPN03XvwVr/nvkffbvgkWPQP650KFHTMqSFAHzVsfnuK+tahqhsONAyAdb4U+zj/wGwoFKeHJhaObwWUNjVpokSRGTFO8CGoOSkhLOPvtsiouL+elPf0pRURELFy6kuLiY6dOnM2vWLBYsWEAgEGDIkCGHtZ81axb//ve/eeWVV3jkkUf46U9/Ss+ePXnooYfi8N1IkhQZx/U4ifHDLmXOkpksWz+/xn3KKw/wmwfOY1CPsVx02rUxrjDytq0/eiD8ieoqePcpOFB69H0lxd+ufaFZu/Gwqji0FEFTk4jjwL5yuOfVus8of2kZLP4wujVJkhQNhsLAlClTKCwsZPLkydx66620adPm4LZp06aRn59PZWUlPXr0IDMz8+C2vn378n//938sXryYnTt3snfvXv773//ypS99ib179/KNb3yDWbNmxeNbkiQpIi4e/yuSkpK5//lf17j99seupLyijKlf/1tsC4uSD98Ob/+q8tBSE5Iav43b43fsfeWwfW/8jt8QiTYOLFgHew+E1+aVFdGpRZKkaEr4UHjFihXMnDmT7Oxsbrrpphr3GT58OAD5+fmHPH7ttdfyox/9iPz8fNq2bUtGRgbjxo3jueee4ytf+QrBYJAf/ehHBJvitABJkoCu2X0oyL+QRWteZum6uYdse+K1Gby54hl+c9mTpKVmxKnCyNm3IzRTOFyb3g3NGpbUuMUzFAYojPPx6yuRxoFgsH5LjGwoif/zS5KkcCX8msIPP/ww1dXVXHzxxbRu3brGfdLT04HDQ+HaBAIBpk+fzr///W/WrFnD0qVLa1x24khGjBhBcXFxWG0kSUptkc6fJ0d20cxJp/2CVxY/zP0v/Jpbr3wFgMVrXuGeWVdz4+XPkpPVo9595/XNo7xyf4QqbZgxA77GFaf/Pux2B0rhhPxxfLTzg8gXpUbjtu8sIKtNZ4qKisjNPSHe5cTcmdcuIKNtZ4qKm+73f/y5N9H7xEtr3PaTMyAzvfa2mWmf3l9/7pGPs3s/3Pbc4Y9f9ZNrWffGA3Wstv6a2jgAjWcsaNmqA2f/ekm92l76/etYM+/eCFckSdLR5eTk8PbbYX7kEUNhZs+eDUBBQUGt+xQWFgJ1D4UB+vXrR1ZWFtu3b2f16tVhh8LFxcVs2rQprDaSJKWlhD9TK7/3Kbx4S+2faul+zIBDriZfvH09Nzx0AVecdQv5vU+pT5kHFW3eTFnFvgb1ESll3Svq3Xb3zr2O281cVVXVwftE/L9uDt//gAO1n+OZ6dCuDr8+k5Lqtl9NSvfuj8nPrqmNA9B4xoLMjqn1bruvrLLJnhuSpMSU8KHwhg0bAOjevXuN2ysrK5k3bx4QXigMkJKScrCPcOXk5ITdRpKk1BZHmOoWAWXl+7jub+cweuCXOWdMw68y37lLl0YxOwygZXr9/yzKbNeKrnSNYDVqbJKTkw/ed+2aeP/XzeH7T2uZUuu23Uf5NZSZFgqEq6thd9mR962tr9at0mPys2tq4wA0nrEgNaNVvdtmtGy654YkqWmrb4aY8KHw3r2hKz7s31/zHyEzZ86kpKSENm3a0LNnzzr3u3XrVrZs2QJAbm5u2HXVZ9q3JElV5fDKjOj1P3fpY6wrWsKmklXMWTLzsO33/mw5ndofW+f+Vq9aTXL9J2ZF1P5dMO8eIMxLAaRlwtvvziWQ8FdqaN7m3hVaKqRz584HP0WWSK57HHbth845Tff7f34pPFvLhSFrWu7hs64/NzRDeHcZXP9E/Y5/5//dyJBuN9avcRia2jgAjWcsCAbh5v9A0c7w2z785/+hc7v/iXhNkiRFS8KHwjk5OezYsYOFCxcyevToQ7YVFRUxdepUAIYMGUIgEKhzv//7v/9LMBikbdu2nHBC01x3TZKkz/vi8Ev54vCa1+Rs6tLbQnYvKFkbXrvcfAyEpSagW1ZiHz9SmvM4EAjA2Dx4ZEF47Xp3gs7tolKSJElRk/AvYcaPHw/A9OnTWbVq1cHHFyxYQEFBASUlJQAMHTr0kHYvvvgiP//5z1m79tBXjvv27eN//ud/uPnmmwG45pprSE1tBG97S5Kko+p+AlD394BJSYMug6NWjqQIimco27pl/dciVmwN7wltw1yB49SB0alFkqRoSvhQeNq0aXTo0IGNGzdy3HHHMXjwYPLy8hg5ciS9evXi1FNPBQ5fT3jv3r1Mnz6dPn360KVLF0444QSGDx9OdnY21113HcFgkO9+97tMmzYtHt+WJEmqh/a50H983fZNToH8cyHVoEdqEtqkQ9f28Tl2/y6hWahq/NJS4IpTIL2O83rOGgrHuZSwJKkJSvhQODc3l7lz5zJx4kTS0tJYv349WVlZ3H333cyaNevg7OHPh8LDhw/nl7/8JaeddhqpqaksX76cZcuW0bFjR77+9a/z0ksvcffdd4e15IQkSYq/3HwYfDa0bFP7Pq07wfALoZ1BgNSkjO2bWMdV/eRmwY++BN071L5PmzSYdCKMPy52dUmSFEkJv6YwwIABA3jmmWcOe7y0tJT169eTlJTEoEGDDtnWrVs3fvvb38aqREmSFEPH9IOOeaH1hYtXwNY1EKyGpBYw7AJo29lZf1JTNKwH/HshlFXE7pi57Y8cLqpxOqYt/PgM2LgN5q+BrXugqjq0FMjx3WFIN2iRHO8qJUmqP0PhI1i2bBnBYJC+ffuSkeFnQyVJSiRJSdApL3SbexccKA2tIdyuS7wrk1RfLVvA6YNDwXCsTBzqm0hNWbcO8HVDfUlSM5Twy0ccydKlS4HDl46QJCmRlZXv43d/n8Q3/18fLpvel/+++2i8S5KkOju5H/TIjs2xTuwNA5rxG0kbPlrBWddm8Md//yjepUiSpDAZCh+BobAkSYd75NVbSUluyf0/X8NNVzzPHY//gN17t8W7LEmqk6QkmDQ6NGu4rnbvh537Qvd11aE1fGVY+PU1FZVVFfz+se8yZtC58S5FkiTVg6HwERgKS5ISwcYtK5l0Qy5F29YB8MicW7nmL2dQXV1d4/6vLpnJWaOvBKBzVk+G9D6F1957Imb1SlJDHZMJl58CKXVcE/a25+D6J0L3dZGZBleeCump9S4xpsIdBwAeevF/+MKQ8+manRerMiVJUgQZCh/B7NmzCQaDTJw4Md6lSJIUNd069eOKibfw24cuYMnaOTw1/w9cPelBkpJq/jNhy84POaZ994Nf57TvwZadH8aqXEmKiLxj4HsF4c0YrousVnDVl6Bjm8j2G03hjgMrPnyT5Rte55wxV8W4UkmSFCmGwpIkiVOPn0Re12Fc85fTuXrSg7Rr3THeJUlS1PU5BqZNDAXEkXBCL/jZhKYVCH+iruNAWfk+7nj8B/z4/L8Q8Ap6kiQ1WRF+X1ySJDVFVVWVrC9+jzYZWZTs2nTEfTu1O5aPdmygQ2ZnAIp3rGd43y/FokxJirgOreH7p8Hrq+GF92BXGOsGf+KYTPjyMDiua+Tri5W6jgNF29ayZeeHTL2rAIDS/TsJBqsp3b+DaRfeH6tyJUlSAxkKS5Ik7vnPz8nt2I9pFz7A1LsKyMsdTtfsPjXu+4Uh5/PM63cxsPuJFG3/gHfXzmHKeX+MccWSFDlJARjTF07sA+8VwrzVsHYLVNW+pC4tW0D/LjC2L/TpBE190mxdx4GenQfz6PVbD379wAvXU7p/Jz/4yu9jWK0kSWooQ2FJkhLcG8uf4e2Vz3HHlLdIS83ge2ffxg0PXcDtP5xPakraYfuff8pU/vdf3+YbN/UmKSmZyefeSdtW2XGoXJIiKzkJ8o8N3SqroHgXbNwOT74DBypDQfD5I6FbFnTMDIXJzUG444AkSWr6AsFgMBjvIiRJUmRUlcMrM+JdRd0VTIHk1HhXcXRz74IDpdCyNYy7Mt7VKB4S/Tlw3eOhZRXapsNvzot3NbHXlL7/pjYOQNMZCyRJak680JwkSZIkSZIkJRCXj5AkSYf5z5v38O95dx72+ORz7mBwr3FxqEiSFEuOA5IkNW+GwpIk6TBnjrqcM0ddHu8yJElx4jggSVLz5vIRkiRJkiRJkpRAnCksSVIzkpQSumBPU5GUEu8KJKl5aWrjADgWSJIUD4bCkiQ1I4GAV3CXpETmOCBJkurC5SMkSZIkSZIkKYEYCkuSJEmSJElSAjEUliRJkiRJkqQEYigsSZIkSZIkSQnEUFiSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCcRQWJIkSZIkSZISiKGwJEmSJEmSJCUQQ2FJkiRJkiRJSiCGwpIkSZIkSZKUQAyFJUmSJEmSJCmBGApLkiRJkiRJUgJpEe8CJEmSIiUYhOqK6PT7yX1VeWT7TkqBQCCyfUqSJEnSkRgKS5KkZqO6Al6ZEb3+y/dGvv+CKZCcGtk+JUmSJOlIXD5CkiRJkiRJkhKIobAkSZIkSZIkJRBDYUmSJEmSJElKIIbCkiRJkiRJkpRADIUlSZIkSZIkKYEYCkuSJEmSJElSAjEUliRJkiRJkqQE0iLeBUiSJMXTkrVz+NldBYc8lpbaityOfRk/7FLOGXMVycn+ySRJkiSp+fAVjiRJElAwdBIj+59JkCA79hTz4jsPcNfTP+HDLSv48df+HO/yJEmSJCliDIUlSZKAvK7DGD/8koNfn33SD/jOzf159q17+NYZv6Nd645xrE6SJEmSIsc1hSPgySef5Oyzz6Zz5860bNmSzp07U1BQwC233BLv0iRJUj2lp7aif/cTCQaDbN62Nt7lSJIkSVLEOFO4AcrLy7n44ot59NFHAejVqxfdunXjo48+Yu7cuSxdupSpU6fGuUpJklRfRR+HwZkZWXGuRJIkSZIix1C4AS6//HIeffRRzjjjDO6880569+59cNvOnTv573//G8fqJElSOMoq9rFrbwnBYGhN4adfv4s1mxbRv9tIcjv2jXd5kiRJkhQxhsL19MILL/Dggw8yatQonn76aVq0OPRH2a5dO7785S/HqTpJkhSuB164jgdeuO6Qx8YOOo+rzv1DnCqKv2AQdhZC6VaoqoTUdOjQC1q2indlipXKKli+GQ5Uhr6uqILySkj1VYQkSVKT5p9zHyspKeHmm2/m8ccfp7CwkI4dO3Leeedx4403MmXKFO677z7uuOMOJk+eDMD//d//AfDLX/7ysEBYkiQ1PRNHfZcvDDmfyuoKPihaysw50ynZVUhqStrBfZaum8u19044rG1lVTnV1VU8f3NVLEuOmmA1FC6BjYtg3/ZDtwWSoFNf6DEK2njtvWZrXznMXg5vrIHSA4c+fv0TMLIXnHYctEmrvQ9JkiQ1XqaZwOLFi5kwYQLFxcW0atWKgQMHsnnzZmbMmMHatWvZvj30amjo0KEA7N+/n5deeomkpCQKCgp48803+etf/8qaNWto3bo1J554IpdffjnZ2dlx/K4kSVI4umbnMazveABG9p/AoJ5j+fEfx3L7Y1fyi0v+CcDgXuN4+nelh7Qr2bWZH84YwVdOmhzzmqOhugqWPgNbV9e8PVgNH70PW9fAkC9Ddq/Y1qfo27kP7poNxbtq3r6vHOa8D0sL4funQnab2NYnSZKkhkuKdwHxVlJSwtlnn01xcTE//elPKSoqYuHChRQXFzN9+nRmzZrFggULCAQCDBkyBIAlS5ZQWVlJhw4duPPOOxk9ejR33303L7/8Mv/+97+55ppryMvL45VXXonzdydJkurruB4nMX7YpcxZMpNl6+fXuE955QF+88B5DOoxlotOuzbGFUbHihdqD4Q/q7oS3n0KdhdHvybFzoEK+PMrtQfCn7WtFO56BfYeOPq+kiRJalwSPhSeMmUKhYWFTJ48mVtvvZU2bT6d6jBt2jTy8/OprKykR48eZGZmAlBUVATAjh07+PnPf86ZZ57JsmXLOHDgAO+++y6nnnoqO3fu5LzzzqOwsDAu35ckSWq4i8f/iqSkZO5//tc1br/9sSspryhj6tf/FtvComTPFihaVvf9qyth7WvRq0ex99Y62Lyz7vuX7IF5dXgTQZIkSY1LQofCK1asYObMmWRnZ3PTTTfVuM/w4cMByM/PP/jY3r17AaisrKR379488cQTDBw4kNTUVAYPHszTTz9NTk4OO3fu5Pe//33Uvw9JkhQdXbP7UJB/IYvWvMzSdXMP2fbEazN4c8Uz/OayJ0lLzYhThZFVuCT8NtvWw74dES9FcRAM1i/gnb8aqqojX48kSZKiJ6FD4Ycffpjq6mouvvhiWrduXeM+6enpwKGhcFrap1fUmDx5MikpKYe0ycjI4Pvf/z4Azz33XKTLliRJMTTptF+QFEji/hc+nS28eM0r3DPran516SPkZPWIX3ER9tH79Wy3MrJ1KD6KdtZt2YjP27kP1m+NeDmSJEmKooS+0Nzs2bMBKCgoqHWfT5Z/+Gwo3L59+4P/HjBgQI3tPnn8gw8+qFdtI0aMoLjYRfokSQpHaot0/jw5vKmO+b1P4cVbgrVu737MAJ6/uerg18Xb13PDQxdwxVm3kN/7lPqWelBe3zzKK/c3uJ+GapGcyj1XratX27vuuI+/f63mJTaai9u+s4CsNp0pKioiN/eEeJcTFZ36jOULV/yzXm0vuux7bFo6K8IVNR5nXruAjLadKSpuvv//kiSpacrJyeHtt98Ou11Ch8IbNmwAoHv37jVur6ysZN68ecChoXD//v0P/js1NbXGtp/MJq6qqqpx+9EUFxezadOmerWVJClRpaVEdxmHsvJ9XPe3cxg98MucM2ZyRPos2ryZsop9EemrIZKSkuvddufu7c3+75ZP/qarqqpqvt9rZv0nJJRsad5/uybE/78kSUooCR0Kf7I28P79Nc/OmTlzJiUlJbRp04aePXsefLxr164ce+yxfPjhh6xbt67GmcZr164FIDc3t1615eTk1KudJEmJLLVFelT7n7v0MdYVLWFTySrmLJl52PZ7f7acTu2PDavPzl26NIqZwgBbdq6nU7seYbfbW7mVrl27Rr6gRiQ5OfngfXP9XtMDewlWVxNIqvsKc8FgkEAgQGpwd7P9uUBi/P9LkqSmqb4ZYkKHwjk5OezYsYOFCxcyevToQ7YVFRUxdepUAIYMGUIgEDhk+wUXXMCtt97K/fffz3e+851DtgWDQf72t78BcOqpp9artvpM+5YkKdFVlcMrM6LX/xeHX8oXh18a0T5Xr1pNcs0fPIq59W/CmrlH3++zklPgb09Op0XL6dEpqpGYexccKIXOnTsfXF6sOfrzK7B8c933DwQC9MyGFQtfiV5RjcB1j8Ou/dA5p3n//0uSpMSR0BeaGz9+PADTp09n1apVBx9fsGABBQUFlJSUADB06NDD2k6dOpXMzEzmzp3Lb3/724MfKausrOTqq69myZIltGzZkh//+MfR/0YkSZIioMtgCIS5ikTOQGjRMjr1KPbG9I1NG0mSJMVXQofC06ZNo0OHDmzcuJHjjjuOwYMHk5eXx8iRI+nVq9fBWb6fXU/4E506deKf//wnLVu25Ne//jWdO3dm1KhR5OTkcMstt9CiRQvuueeeWi9EJ0mS1NikZsCAL9Z9/4ws6DM2evUo9gZ2gRN7133/ocfCsB5RK0eSJElRktChcG5uLnPnzmXixImkpaWxfv16srKyuPvuu5k1a9bB2cM1hcIAEyZMYNGiRVxyySW0aNGCRYsW0aJFCy644ALefPNNLrnkklh+O5IkSQ3WZRAMOB0+t3LWYVp3guEXQEp0l3FWjAUCcP5IOKnP0fcd3gMuOQmSjvJckSRJUuOT0GsKAwwYMIBnnnnmsMdLS0tZv349SUlJDBo06IjtH3zwwWiWKEmSFFNdB0P7brBpCWx+Dyo+cx28drmQmw+d8iAp4f+SbJ6Sk0LB8Mje8NoqWLQBqqpD25ICMKQbjO0LvTsd/c0DSZIkNU7+KV+LZcuWEQwG6du3LxkZGfEuR5IkKaYy2kHeydB7LLx2N5Tvg9RWMOLCeFemWAgEoEd26Hb+CbCnDIJAmzRIS4l3dZIkSWqohF4+4kiWLl0K1L50hCRJSlzPvXUfV/zvYE6/ugWPz/19vMuJqqRkCHz8F6OzQhNTyxTIbgMd2xgIS5IkNReGwrUwFJYkSbXJyx3OLy/5F6cOvSjepUiSJElS2AyFa2EoLElS4ti4ZSWTbsilaNs6AB6ZcyvX/OUMqqura9y/d5d8uh8zgEDAP6UkSZIkNT2uKVyL2bNnx7sESZIUI9069eOKibfw24cu4Htn3cpT8//AHVPeIinJ0FeSJElS8+MrHUmSJODU4yeR13UY1/zldK6e9CDtWneMd0mSJEmSFBWGwpIkSUBVVSXri9+jTUYWJbs2xbscSZIkSYoaQ2FJkiTgnv/8nNyO/bjtB3P58zM/Y1PJmniXJEmSJElRYSgsSZIS3hvLn+Htlc9x1bl/oGt2H7539m3c8NAFlFeU1bj/8wv+xqQbcpn77iM88ML1TLohlzWbFsW4akmSJEmqHy80J0mSEt6JA8/ixIFnHfz65PzzOTn//Fr3P/2Eyzj9hMtiUJkkSZIkRZ4zhSVJkiRJkiQpgThTWJIkqQb/efMe/j3vzsMen3zOHQzuNS4OFUmSJElSZBgKS5Ik1eDMUZdz5qjL412GJEmSJEWcy0dIkiRJkiRJUgIxFJYkSZIkSZKkBOLyEZIkqdlISoGCKfGuIjxJKfGuQJIkSVKiMRSWJEnNRiAAyanxrkKSJEmSGjeXj5AkSZIkSZKkBGIoLEmSJEmSJEkJxFBYkiRJkiRJkhKIobAkSZIkSZIkJRBDYUmSJEmSJElKIIbCkiRJkiRJkpRADIUlSZIkSZIkKYEYCkuSJEmSJElSAjEUliRJkiRJkqQEYigsSZIkSZIkSQnEUFiSJEmSJEmSEoihsCRJkiRJkiQlEENhSZIkSZIkSUoghsKSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpATSIt4FSJIkKTKCQaiuiE6/n9xXlUe276QUCAQi26ckKXFFayyMJsdCSfFgKCxJktRMVFfAKzOi13/53sj3XzAFklMj26ckKXFFeyyMBsdCSfHg8hGSJEmSJEmSlEAMhSVJkiRJkiQpgRgKS5IkSZIkSVICMRSWJEmSJEmSpARiKCxJkiRJkiRJCaRFvAuQJEmSJElS47FnP3xQAhu3waYdsPcAVAehRRJktYZuWaFb92xokRzvaqXI21cO67fCxu2h254yqKoOnQNt06Fbh9A50CMbWqbEu9r6MRSWJEmSJElKcMEgrPkIXlsNSzeGQuCafFAC76wP/bt1GozuDSflQftWMStVipqN22HeqtBzvKKq9v2WbAzdt2wBI3vBmL6Q0zYmJUaMobAkSZIkSVIC27IbHn49FPiGo7QMXlwGLy+HggFwxhBIceawmqDd++HRBfDuxvDaHaiEuatCtxN6wbnDIKNldGqMNENhSZKkBLdk7Rx+dlfBIY+lpbYit2Nfxg+7lHPGXEVysn82SpKar0QdC4NBePV9mLXkyLMij6Y6GAqG3yuEi0+CYztErkYp2hauDwXC+8ob1s+CdbCqCL4+CgZ2jUhpUdX8fqNJkiSpXgqGTmJk/zMJEmTHnmJefOcB7nr6J3y4ZQU//tqf412eJElRl0hjYXU1PLIAXl8TuT4/2g13vAjf/gIM6BK5fqVoeWkZPLM4cv3t2g9/mQMXjILRfSLXbzQkxbsASZIkNQ55XYcxfvglfHH4pVxwylRmXPUGHdvm8uxb97CzdGu8y5MkKeoSZSwMBiMfCH+iogrueRVWFUe+bymSXo5wIPyJIDDzTXhzbeT7jiRD4Xpav349gUCgTrff/OY38S5XkiQpbOmprejf/USCwSCbtzXyv2olSYqC5joWvrYqOoHwJ6qq4b7/ws590TuG1BArNsPTi6N7jJlvwofbonuMhnD5iHpKS0tjzJgxtW7fs2cP7777LgAnnXRSrMqSJEmKqKKPXwBnZmTFuRJJkuKjuY2FJXvCD8N+cgZkpocuxnXbc3VrU1YRCsW+ewoEAuFWKUXP/vLQczMc9TkHqoPwj9fhZxOgRSO8AKOhcD3l5OTw2muv1br95ptv5t133yU3N5fTTjsthpVJkiTVT1nFPnbtLSEYDK2j+PTrd7Fm0yL6dxtJbse+8S4vbqqrQh+zhU/vlVgS/f8/WA2VByCQDMkphjtq3hJhLPzXW1BeGV6bzHRolxH+sVZshgUfwMhe4bdV4xEMQlV56L5Fy6Y/Djy9KPxZ7PU9B4p3wQvvwZn54beNNkPhKHnggQcAuPTSS0lKcpUOSZLU+D3wwnU88MJ1hzw2dtB5XHXuH+JUUfwEq6HkAyhcBNvWf/p4xT74cCF0OS70okjN14EKeGc9vLYadpeFHttdBn94Ccb0hcG5kNyM/8wPBmFnIRQuhi2rQ+cEQMs20HVI6NayVVxLlKKiuY+FH26L/Vq/s5fDCT2bfpCYiPbthE1LYPN7ULE/9FhSC8gZAN2Ohzad4lpevezZD2+ui+0x/7sSTjsOWjayFLaRlRNfJSUl3HzzzTz++OMUFhbSsWNHzjvvPG688UamTJnCfffdxx133MHkyZOP2M8777zDsmXLAPjmN78Zi9IlSZIabOKo7/KFIedTWV3BB0VLmTlnOiW7CklNSTu4z9J1c7n23gmHta2sKqe6uornb66KZclRcWAvLH4c9nx0+LZgEFbNhnXzYMhXIOvY2Nen6FtfAvfMgdIDh29b/VHoltM29JHorNaxri76KsvhvWegpIYXzQf2hJ7/H7wBA78EnY+LfX1SNDX3sfC1VbE/ZvEuWLsF+hwT+2OrfoJBWP8WrJ17+LbqSti8NHTrOgT6nQZJjXBphNq8sTa05nUslVXAovVwYp/YHvdoDIU/tnjxYiZMmEBxcTGtWrVi4MCBbN68mRkzZrB27Vq2b98OwNChQ4/a1/333w/AqFGj6NevXzTLliRJipiu2XkM6zsegJH9JzCo51h+/Mex3P7Ylfzikn8CMLjXOJ7+Xekh7Up2beaHM0bwlZOO/MZ5U1C+H975J+zbceT9Kg/Aosdg2NegfbfY1KbY+HBbaDZwxVEyneJdMONF+PHp0LYeHydtrKorQ2+K7Cw88n7BKlj2bOgK610MhtWMNOexsKwCFm2Iz7FfX2Mo3JR88Dqsm3/0/Ta9C1UVcNyZTWMmeDAY3QssHsn8NY0vFG7GH3iqu5KSEs4++2yKi4v56U9/SlFREQsXLqS4uJjp06cza9YsFixYQCAQYMiQIUfsq6KigocffhiAyy67LAbVS5IkRcdxPU5i/LBLmbNkJsvW1/zKoLzyAL954DwG9RjLRaddG+MKI2/VK0cPhD8RrIKlT4dCNDUP1dVw/2tHD4Q/sXNfaG3O5mT9W0cPhD9rxfNQtid69Ujx1pzGwsLtdf/9FmnrtsbnuArfrqK6BcKfKF4BxcujV08k7doP2/fG59iF28NfyzvaDIWBKVOmUFhYyOTJk7n11ltp06bNwW3Tpk0jPz+fyspKevToQWZm5hH7mjVrFiUlJbRs2ZKvf/3r0S5dkiQpqi4e/yuSkpK5//lf17j99seupLyijKlf/1tsC4uC8r3w0cow2+yDj+LwUVxFx4oi2FZ69P0+a/mm8Ns0VtVVULgkvDbB6tBHiKXmrLmMhRu3x+/YO/bC3hqW5FHjU7go/DYbF0e8jKgojOM5UB2EzTvjd/yaJHwovGLFCmbOnEl2djY33XRTjfsMHz4cgPz8o18q8JMLzH35y1+mffv2kStUkiQpDrpm96Eg/0IWrXmZpesOXVjuiddm8OaKZ/jNZU+Sltr0Pz+/eVlo9m+4NoUZoqnxmr86/DZB4vdR1EgrWRd6cyRcm94NfSRXaq6ay1i4KY6BGMCmOn4SR/FTURb+G+QAu4tgz5bI1xNphXF+Dsb7HPy8hF9T+OGHH6a6upqLL76Y1q1rvkpEeno6cPRQeNu2bcyaNQto+NIRI0aMoLg4xpcElSRJTVpqi3T+PLkeqdZRTDrtF7yy+GHuf+HX3HrlKwAsXvMK98y6mhsvf5acrB717juvbx7llfsjVGnDXP6l2xg78IKw2xWu2cE5uYOjUJFi7Yxpr9G6Q4+w293/r+e48qzLI19QjJ09cgpfPWla2O0OlEK/Psex78CuKFQlhcexsHYnffOvdBn4xRq3/eQMyEyvvW1m2qf315975OPs3g+3PXf445d+63tsWjqrjtUqHrp3GsxvLnq2Xm2/NWkyb6x8MrIFRdiQs35N33HfrXFbLM6BX//PTayc84c6Vlt3OTk5vP3222G3S/hQePbs2QAUFBTUuk9hYWhRraOFwg8//DDl5eXk5ORw+umnN6iu4uJiNm3a1KA+JElSYklLqd8Mpfzep/DiLbVP8+t+zIBDrqRevH09Nzx0AVecdQv5vU+p1zE/UbR5M2UV+xrUR6RUHKjfQovJSSn+3dZMBAP1e3lUURlsFs+B/fvq/9nukq3b2LHnowhWI9WPY2Htyssrat2WmQ7t6vCjS0qq23412blzV7P4XdmctW1xbL3blu7e2+j/f/vsK6t1WyzOgT2ljetnlPCh8IYNoUtvdu/evcbtlZWVzJs3Dzh6KHz//fcDcPHFF5OcnNygunJychrUXpIkJZ7UFkeY3hAhZeX7uO5v5zB64Jc5Z0zDr7DeuUuXRjNTuCpQ+wuFI9l7YAddu3aNcDWKh6qyXUBu2O0CVfuaxXMg0KJ+V8Cprq6ibftWZGQ2/Z+Bmj7HwtqltAjUum33UQ6fmRYKw6qrYfdRhsva+spsk9Esflc2Z2mtQ1lWMBgkEKj9+VKTFmnBRv//m96y9hg0FudAq/TUqPyM6pshBoLBxF79KSsrix07djB//nxGjx592Pa///3vXHLJJbRp04Zdu3bVelIsX76c4447DoClS5cyaNCgqNYtSZL0eVXl8MqM6B7jxXce5OZ/foOWKekEAodfnuLeny2nU/u6zzIpmALJqZGssP52bIR3Zobf7tgR0PeUiJejOHhhKfzn3fDbfecLMLhb5OuJtbLd8NpfCC2UHIaOfSD/nGhUJIXPsbB2Ty2E2Svq1/b6c0OzI3fug+ufqF8fV0+Ezu3q11axEQzCm/dDaUl47Vq0hHFXQnJKdOqKlPmr4V9v1a9tJM6Bxvb3QsLPFM7JyWHHjh0sXLjwsFC4qKiIqVOnAjBkyJAjvkvyyQXmhg0bZiAsSZKarS8Ov5QvDr803mVERbtcaNUB9m4Lr13u0a9FrCbixD7w3NLQFcLrql0GDGzcE6PqLC0TOvaGrWFeOC93aFTKkRqtpjoW5mbF79ipyXBMZvyOr7oJBEK/099/Kbx2nQc1/kAYoFsczwGAbh3ie/zPO/wtrQQzfvx4AKZPn86qVasOPr5gwQIKCgooKQm9PTJ06NBa+6iuruahhx4C4Jvf/Gb0ipUkSVLUBALQZ1x4bboOgYz20alHsZeZDqf0D6/NxHxIbkavqnqOhqQwpg617wZZNa/EJ6mROTaOgVTX9qGP3qvxyxkYepO8rlLSofvw6NUTSZ3bxW/Mbp0GbaO/uk1YEv6UnDZtGh06dGDjxo0cd9xxDB48mLy8PEaOHEmvXr049dRTgSOvJ/zSSy+xadMmUlJSuOiii2JVuiRJkiKsYx/oP76O++ZBv9OiW49i76yhcELPMPbtFc1qYi/zGBhyNiTV4RIpmZ1hyFdCb6hIavw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      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2, share_weights=False) + Qmask(\"right\", mapping=v2)) * 2\n",
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\", share_weights=True)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2, share_weights=True) + Qmask(\"right\", mapping=v2)) * 2\n",
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\", share_weights=False)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2, share_weights=True) + Qmask(\"right\", mapping=v2)) * 2\n",
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\", share_weights=True)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Specifying rotational angles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[3.568522990845462, 0.8256215855592418]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1 = Qinit(4) + (Qcycle(mapping=u2, share_weights=True) + Qmask(\"right\", mapping=v2)) * 2\n",
    "hierq = Qinit(10) + Qcycle(1, 3, mapping=m1, boundary=\"open\", share_weights=True)\n",
    "hierq.set_symbols(np.random.uniform(0, 2 * np.pi, hierq.n_symbols))\n",
    "list(hierq.get_symbols())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1810.32x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Symbols as a function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1893.93x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nq = 10\n",
    "motif = Qcycle\n",
    "# ne is the edge number, i.e. the first edge corresponds to the first unitary in a layer\n",
    "# ns is the symbol number which you'll use for unitaries with multiple symbols\n",
    "symbol_fn = lambda x, ns, ne: np.pi / ne\n",
    "hierq = Qinit(nq) + motif(mapping=u2, share_weights=False, symbol_fn=symbol_fn) * 2\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Masking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2210.55x1454.83 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(8) + (Qcycle(1, 1, 0, mapping=u2) + Qmask(\"*!\"))*3 + (Qunmask(\"previous\") + Qcycle(1, 1, 0, mapping=u2))*3\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 621.941x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The global pattern specifies the outside gets masked. \n",
    "# The merge between specifies that the masked qubits connect to the outside ones\n",
    "hierq = Qinit(8) + Qmask(global_pattern=\"1**1\", merge_between=\"1*1\", mapping=u2)*4\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 872.774x618.722 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The global pattern specifies the outside gets masked. \n",
    "# The merge between specifies that the masked qubits connect to the inside ones\n",
    "hierq = Qinit(7) + Qmask(global_pattern=\"1**1\", merge_between=\"*1*\", mapping=u2)*4\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pivots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 705.552x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(N) + Qpivot(\n",
    "    global_pattern=\"1*\",\n",
    "    merge_within=\"*1\",\n",
    "    merge_between=None,\n",
    "    strides=[1, 1, 0],\n",
    "    steps=[1, 1, 1],\n",
    "    offsets=[0, 0, 0],\n",
    "    boundaries=[\"open\", \"open\", \"periodic\"],\n",
    "    mapping=u2)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 639.768x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(10) + Qpivot(\n",
    "    global_pattern=\"1*1*\",\n",
    "    merge_within=\"*1\",\n",
    "    merge_between=None,\n",
    "    strides=[1, 1, 0],\n",
    "    steps=[1, 1, 1],\n",
    "    offsets=[0, 0, 0],\n",
    "    boundaries=[\"open\", \"open\", \"periodic\"],\n",
    "    mapping=u2)\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Specifying unitaries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "if backend == \"qiskit\":\n",
    "    from qiskit.circuit import QuantumRegister\n",
    "    def anz1(bits, symbols=None, circuit=None, **kwargs):\n",
    "        \n",
    "        # Assume bits are strings and in the correct QASM format\n",
    "        q0, q1 = QuantumRegister(1, bits[0]), QuantumRegister(1, bits[1])\n",
    "        circuit.crz(symbols[0], q0, q1)\n",
    "        circuit.x(q0)\n",
    "        circuit.crx(symbols[1], q0, q1)\n",
    "\n",
    "        return circuit\n",
    "\n",
    "    def anz2(bits, symbols=None, circuit=None, **kwargs):\n",
    "        # Assume bits are strings and in the correct QASM format\n",
    "        q0, q1 = QuantumRegister(1, bits[0]), QuantumRegister(1, bits[1])\n",
    "        circuit.rz(symbols[0], q1)\n",
    "        circuit.cnot(q1, q0)\n",
    "        circuit.rz(symbols[1], q0)\n",
    "        circuit.ry(symbols[2], q1)\n",
    "        circuit.cnot(q0, q1)\n",
    "        circuit.ry(symbols[3], q1)\n",
    "        circuit.cnot(q1, q0)\n",
    "        circuit.rz(symbols[1], q0)\n",
    "        return circuit\n",
    "\n",
    "elif backend == \"cirq\":\n",
    "    import cirq\n",
    "    # Masking circuit\n",
    "    def anz1(bits, symbols=None, circuit=None):\n",
    "        q0, q1 = cirq.LineQubit(bits[0]), cirq.LineQubit(bits[1])\n",
    "        circuit += cirq.rz(symbols[0]).on(q1).controlled_by(q0)\n",
    "        circuit += cirq.X(q0)\n",
    "        circuit += cirq.rx(symbols[1]).on(q1).controlled_by(q0)\n",
    "\n",
    "        return circuit\n",
    "\n",
    "    # Cycle circuit\n",
    "    def anz2(bits, symbols=None, circuit=None):\n",
    "        q0, q1 = cirq.LineQubit(bits[0]), cirq.LineQubit(bits[1])\n",
    "        circuit += cirq.rz(symbols[0]).on(q1)\n",
    "        circuit += cirq.CNOT(q1, q0)\n",
    "        circuit += cirq.rz(symbols[1]).on(q0)\n",
    "        circuit += cirq.ry(symbols[2]).on(q1)\n",
    "        circuit += cirq.CNOT(q0, q1)\n",
    "        circuit += cirq.ry(symbols[3]).on(q1)\n",
    "        circuit += cirq.CNOT(q1, q0)\n",
    "        circuit += cirq.rz(symbols[4]).on(q0)\n",
    "        return circuit\n",
    "\n",
    "elif backend == \"pennylane\":\n",
    "    # Masking circuit\n",
    "    def anz1(bits, symbols=None):\n",
    "        qml.CRZ(symbols[0], wires=[bits[0], bits[1]])\n",
    "        qml.PauliX(wires=bits[0])\n",
    "        qml.CRX(symbols[1], wires=[bits[0], bits[1]])\n",
    "\n",
    "    # Cycle circuit\n",
    "    def anz2(bits, symbols=None):\n",
    "        qml.RZ(symbols[0], wires=bits[1])\n",
    "        qml.CNOT(wires=[bits[1], bits[0]])\n",
    "        qml.RZ(symbols[1], wires=bits[0])\n",
    "        qml.RY(symbols[2], wires=bits[1])\n",
    "        qml.CNOT(wires=[bits[0], bits[1]])\n",
    "        qml.RY(symbols[3], wires=bits[1])\n",
    "        qml.CNOT(wires=[bits[1], bits[0]])\n",
    "        qml.RZ(symbols[4], wires=bits[0])\n",
    "\n",
    "\n",
    "u = Qunitary(anz2, 5, 2)\n",
    "v = Qunitary(anz1, 2, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 705.552x200.667 with 1 Axes>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ansatz_1 = Qinit(2) + Qcycle(mapping=u)\n",
    "circuit = get_circuit(ansatz_1)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 371.107x200.667 with 1 Axes>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ansatz_2 = Qinit(2) + Qmask(\"right\", mapping=v)\n",
    "circuit = get_circuit(ansatz_2)\n",
    "draw_circuit(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2210.55x2959.83 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hierq = Qinit(8) + (Qcycle(1, mapping=u) + Qmask(global_pattern=\"*!\", mapping=v)) * 3\n",
    "circuit = get_circuit(hierq)\n",
    "draw_circuit(circuit)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "unitary_hack",
   "language": "python",
   "name": "unitary_hack"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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