Skip to content

Instantly share code, notes, and snippets.

@delapuente
Created January 28, 2021 00:22
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 1 You must be signed in to fork a gist
  • Save delapuente/b0803078f27aa84be911c8dae6ed1dc3 to your computer and use it in GitHub Desktop.
Save delapuente/b0803078f27aa84be911c8dae6ed1dc3 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.8/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
" warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n"
]
}
],
"source": [
"%matplotlib inline\n",
"# Importing standard Qiskit libraries\n",
"from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
"from qiskit.compiler import transpile, assemble\n",
"from qiskit.tools.jupyter import *\n",
"from qiskit.visualization import *\n",
"from iqx import *\n",
"\n",
"# Loading your IBM Q account(s)\n",
"provider = IBMQ.load_account()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Quantum Algorithms I\n",
"\n",
"## Concepts & Techniques\n",
"### Operators\n",
"Quantum gates are represented by operators. Operators a unitary matrices."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from qiskit.circuit.library import HGate, ZGate, XGate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"More gates can be found at https://qiskit.org/documentation/apidoc/circuit_library.html"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.+0.j, 1.+0.j],\n",
" [1.+0.j, 0.+0.j]])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"XGate().to_matrix()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1.+0.j, 0.+0.j],\n",
" [ 0.+0.j, -1.+0.j]])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ZGate().to_matrix()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.70710678+0.j, 0.70710678+0.j],\n",
" [ 0.70710678+0.j, -0.70710678+0.j]])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"HGate().to_matrix()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matrices represents linear transformations, mapping each basis with a row."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.70710678+0.j, 0. +0.j],\n",
" [ 0.70710678+0.j, -0. +0.j]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"basis = [1, 0]\n",
"HGate().to_matrix() * np.array([basis])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Phase kick-back\n",
"A technique for transmitting a phase offset to a quantum state."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.197x204.68 with 1 Axes>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def phase_kick_back(circuit, bit_idx):\n",
" '''Returns a new circuit with phase kick-back piece attached at `bit_idx`.'''\n",
" num_qubits, num_clbits = circuit.num_qubits, circuit.num_clbits\n",
" if not num_clbits:\n",
" extension = QuantumCircuit(num_qubits)\n",
" else:\n",
" extension = QuantumCircuit(num_qubits, num_clbits)\n",
" extension.x(bit_idx)\n",
" extension.h(bit_idx)\n",
" return extension + circuit\n",
"\n",
"kick_back_circuit = QuantumCircuit(3)\n",
"kick_back_circuit.h([0, 1])\n",
"kick_back_circuit.cx(0, 2)\n",
"kick_back_circuit = phase_kick_back(kick_back_circuit, 2)\n",
"kick_back_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit.quantum_info import Statevector\n",
"from qiskit.visualization import plot_state_qsphere\n",
"plot_state_qsphere(Statevector.from_instruction(kick_back_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Oracles\n",
"Amplitude oracles are circuits computing $|x\\rangle|y\\rangle\\rightarrow|x\\rangle|y \\oplus f(x)\\rangle$."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.197x204.68 with 1 Axes>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import qiskit.quantum_info as qi\n",
"u_and = qi.Operator(np.array([\n",
" [1, 0, 0, 0, 0, 0, 0, 0],\n",
" [0, 1, 0, 0, 0, 0, 0, 0],\n",
" [0, 0, 1, 0, 0, 0, 0, 0],\n",
" [0, 0, 0, 0, 0, 0, 0, 1],\n",
" [0, 0, 0, 0, 1, 0, 0, 0],\n",
" [0, 0, 0, 0, 0, 1, 0, 0],\n",
" [0, 0, 0, 0, 0, 0, 1, 0],\n",
" [0, 0, 0, 1, 0, 0, 0, 0],\n",
"]))\n",
"amplitude_oracle_circuit = QuantumCircuit(3)\n",
"amplitude_oracle_circuit.h([0, 1])\n",
"amplitude_oracle_circuit.append(u_and, [0, 1, 2])\n",
"amplitude_oracle_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAGKCAYAAAAblaZqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAACLl0lEQVR4nO29eZxsaV3f/z5L7dVdve9996Xv7AMoDDOsg0PQgKhRWWI0vyQGwZcgGtG8YhjUBFckElCT+MsvERETI8MgELYBAUcEgZmBme67b31736prP+vvj+pz7unTp04tXb3d+7zv67666izPec6pqufzfJfneSTbthEIBAKBoFHkva6AQCAQCA4WQjgEAoFA0BRCOAQCgUDQFEI4BAKBQNAUQjgEAoFA0BRqnf0i5UogEAhuH6RGDhIWh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJpCCIfgtuLRRx/l0Ucf3etqCAQHGiEcgtualZUVfuiHfohUKsXhw4f5yEc+0tC+evuPHj3K9PT0rt2HQLCbCOEQ3Na87W1vIxqNMj8/z5/92Z/xMz/zMzz77LN199Xb/9rXvpbHH398T+5JINhphHAIblsKhQL/5//8H37913+ddDrNQw89xOte9zr+9E//NHRfvXMBXve61/HYY4/t4d0JBDuHEA7Bbcu5c+dQVZVTp0652+69916effbZ0H31zgV42ctexlNPPUU2m92luxEIdg8hHILblnw+T2dn56ZtmUyGXC4Xuq/euQCRSISHH36YT3/60zt4BwLB3iCEQ3Dbkk6nWV9f37RtfX2djo6O0H31znW45557+M53vrNDtRcI9g4hHILbllOnTmEYBufPn3e3Pf3009x5552h++qd6/DZz36WRx55ZBfuRCDYXYRwCG5bUqkUP/zDP8y///f/nkKhwN/+7d/y8Y9/nJ/4iZ8I3VfvXIDV1VUmJyd56KGH9vIWBYIdQQiH4LbmQx/6EKVSiYGBAd74xjfyh3/4h67VELav3v5PfvKTvPrVr0ZRlD25L4FgJ1H3ugICwV7S09NTM202bF+9/R//+Md505vetP0KCgT7EGFxCAQ7QDKZFPENwS2LZNt22P7QnQLBQeNLX/oSAC9/+cv3tB4CwT5FauggIRwCgUAg2KAh4RCuKoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hVhzXCAIwbZt1p99lvWpKcxiESWZpHNigs4770SSGlrzRiC45RDCIRAEYBkGs5/6FNc/+lG01VVs08TWdaRIBElRiHZ3M/6GNzD8/d+PrIqfkeD2QiwdKxD4MEolvvOud5E7fx6rXK55nByL0XHqFHf/1m+hJhK7WEOBYMcQa44LBM1iGQZPv/OdrE9NYet63eOlSITOiQnufd/7hOUhuBUQa44LBM0y+6lPkTt/viHRALB1ndy5c8x++tM7XDOBYP8ghEMg2MC2ba5/9KOh7qkgrEqF63/+59Sx3gWCWwYhHALBBuvPPou2utrSudrqKuvPPtvmGgkE+xMhHALBButTU9imiQnoQEWSKMsyBUWhGIlQVFVKskxJktAB03OubZrkpqb2puICwS4jonmC2wLDMCiVSpRKJXRdR9d1TNN091mWxdzcHPOdnUiyDJKEZNvYkoQN1TEbtl39D9iWhQVg28i2DZIEc3OUzp8HQJZlVFUlEomQTCZJJBLEYrG9uXmBoM0I4RDcchiGQbFYpFwuu0KhaRqSJGHbtvvXeS1JEqZpoiSTqIkElmEgbwiGDFiWVRWOjfMAJEVBtm0sQLIsUBTseJxSqQSw6ToOqqoSi8VIJBIkk0ni8TgJkcYrOIAI4RAcaHRdd0WiXC5TqVQwTXOLOABuI+4KwQa2bSPLMsnR0aqQOIIAWBvWhNv8SxK2ZYFtI7Hh65UkJFUlMTLillXdvFk4TNOkWCxSKBTcbYqibBITR1AEgv2MEA7BgcKyLNbX11lfX6dSqaBpmttQw82evmVZm7b5X/v/AsRHR1HTabSVFTeZXWLrYCZnmyMuAJFkksTYmFum89+L95qOcOm6jmEYFAoFt96yLBOPx+np6aGrq4tIJNL0cxIIdhIxAFCw73HEIp/PUywWN4mClyD3UDP7AFa++U3mPvc50LTqtZ34xeYTsKn+OCRAVlUGHnmEnuc9z62v1y3mvU5YfbzbvH+TySTd3d10d3ejikGGgp1FjBwXHFwsyyKXy7liYRiGG48IsiCC8DfcfhdV0DGmYXD9z/6M0swMtmEE/gDsmyeDopAYGeHwm98M8uYkRb/lE1S/sHp79zvvOzo66O7uJpPJCBER7ARCOAQHC8uyKBQKZLNZSqUSlmVtakSdht/fKwdqvg6KcYRZHgCmpnH9z/+c0swMlmluOW6jskiRCPGhIcbf+EaUaHRT+U55YZaO/7p+HOHx19/Zl06n6enpobOzU4iIoF0I4RDsf2zbJpfLkcvlKBQKgQFtf4PvF4ZGrhG0rZYbCaoitvbtb7P8ta9h5PNgWdiWhaQoIEkoqRS9DzxA1733VtN3G7h+vbq2Ii5QTf11LJGenp7QawgEdRDCIdi/OHGLlZUVDMPYtB229rb9+IPPfiHwltEIQcc618hfuEDh0iWQJGLd3cRHRoiPjGw6t1FRaFXonO1hz8W2bWKxGENDQ/T19dW9jkAQgBAOwf6jlmDAzbRYJ53W2eZvmBuJVTjb6h3jPa7Wb0HP5aisrBBJpYj29m5xHfmtJC9B1lE98XDGlYRRz70Vj8eFgAhaQQiHYP9gWRbZbJbV1VVM0wyNMXjf+91J/mOCevvNWBph13bQczm01VVXOBo5p951Gj027LhGgu/xeJzBwUH6+vrEioWCRhDCIdh76glGI2mpTjmN0sostWFC1k7hcI5r97Fh7i1ACIigUYRwCPYOy7JYW1tjbW1tk0sqKPDttyqCsoj81MqmChIYf5n+17XOcTC8riqf66eWC817nbBAf9Cx/mOCrJSgdF3nPvzP1LtPCIigDkI4BLuPIxiOheGnVoDXb2WEuXTCgtGNuMD8++rFR2pZHEFlN2NJNHO8t661sCwLRVE2xYhgc6KBc6/xeJyBgQH6+vo2jbwX3PYI4RDsLrlcjoWFBbfhqpX9U0s0vDTjzvGe08z2sP2NCEetTKxm69nsOY0E12u59vyinEgkOHz4MB0dHXXrILgtEMIh2B0Mw2BhYYFisRjqVgnq+dZqRJvtiTezvd5x/vfNWBxhKcRewubTaqS+3ufolFfrWOdvrectSRIDAwOMj48L60PQkHCI4aaCbZHP5zdZGbUasqC5m4KOC6NWyquzrx61Yidhqb1h1wzCaXjrxSOCYjvN0OzUK7WOkWUZy7KYn58nm81y9OhRYX0I6iIsDkFLGIbB0tISuVwO2NpQemm159/I+WFjHhpp9BuJiXjHccRCguPO+1ayuoAtsYkwnGs0km1WL23Xu1+SJIaGhhgdHRXWx+2JsDgEO0M+n2dxcXFTLMPB3/A1Es9wtgdRrxEOGyjXatZQIyPBdwJFUZoa6W7btmsx1EOW5Zqi5pTj7J+dnXWtj1Qq1fR9CG59hMUhaBi/lQGb02L9NDtWoVbKrFN+rTTVWmU2eu1624xcjvLyMpF0ektwPMhd1Gy8ImgkerN1b8TS8U8WWa9cSZIYHh5mZGREWB+3D8LiELSPQqHA/Py82+jUsjKCsqnCguC1yvAfE9RIbtcqCOuBe7GcBr3G+a2m5AbVoR33VQ9vHKZWfMepx8zMDNlsliNHjgjrQ+AiuhGCUEzTZH5+ntnZWXeac69oyLKMJElbRnjXC9yGDfJrpPHcbuNqWVbT05IEsd1BdJIkberNe59ls9dvJp7jPGPnOTj/ne1ecSkUCkxNTTE9Pd1wvQS3NsLiENRE0zRmZ2fRNlbD84+E9lNLIMJ69a00vO3okW8nO6uRstuRTtzouUFuvEbqGHZ9r9XoCMr09DRra2ucPHmSWCzWcp0FBx9hcQgCKZfL3LhxA13Xt/SInb/exidsOddmaLbRa5VaZezVNBx+y6GZmEK99OJa5wRNc1LrGEc8crkczz77LIVCoeH6CW49hHAItlAoFLhx48amjCVvY+R1T/mFxC8o/u31grJh8YJmUlDrsRdZU2E0k8Lst/yCnrm3DO9z9b72uxy9MRuvK0uW5U1CVqlUeO6551hbW2v1dgUHHCEcgk1ks1nm5uaArQ1QUMNfKx4RJhJhjaJflLzva8UCwuIltQgTs8C623b1f4P30qzl4g9UN/L8/GIQlpUWVNdGB2M653mfv2EYnD17lsXFxfo3J7jlEMIhcFleXmZpaSkwW6gZEQgbk1FvIFoY/gbSe04zQeWgenjPDxTDkPKbsarCaLQhr4X/nppNoa1Xd794W5bFxYsXRdD8NkQExwVYlsXi4iK5XM5tPBrJagpyK22n4axHOwbm1cv2Cs3o2kbabbN1c2jmnoMsjmaC5bUsFW/9ggT2+vXraJrG0aNH9yxGJNhdhHDc5liWxezsLOVyuWajEdQYNDrDrXN+PUujXnC2nrXSrkY8zFqy6+xvdFtQo17rWdZ6Nn6RqNXoN+rG858Tdp9OPMR73vz8PLquc/z4cVRVNCu3OuITvo0xDMPNnPJmz4SNDfDOaeSnmUbVu6/e/t2kHVZNWFm10mDDkgKChDfo3LDyGp211yFoihLnfpyynP9O3VZWVtB1ndOnTxOJRBq+luDgIWIctymVSoXr169vEo2gMQFeamXdtNrQ1hMNL+3IpGqE/ZZt1S6ajXfU+6y9270iks/nee655yiXyztxG4J9ghCO25BKpcL09LSbaglbe7iNWhSN9GLDlmZth0/8Vmrs25Wl1Y7zG413OThCUiwW+e53v7tpTjPBrYUQjtsMwzC2pNv6552qJRqNxD6C2G6j125h2C3rpRVqPf9WG37/+2afpZNJ1WiAHaqfl6ZpTE5OioGCtyhCOG4jLMtiZmZm07oPTrATajdOteZ1aqQxaSZdt5kyWi0Ldna6kUau0yqtuJu8SJKEoigtnesPiHs7EkHp2wC6rnP27FkqlUpT9Rbsf4Rw3CZYlsXc3ByGYbjbGh2nETQ+wb/N/9dfflAAN+j9rUYr4tHO4Hwj5QfFM7zbHYIsj7C6SpJEuVxmampq0/dOcPARwnGbsLS0tClg2Uxgul78I0g8wo7x/ndGhvuPq1euNwW1mf/1qHWOFLK/mbESQdcKu37Y+fWoZRX4pxdpts5hxwa5tgqFAufPn7/lOwm3E0I4bgNWVlbI5/Pue29gejupsmE0O+mhXxS8qZ/ONu+xrVKv4QvZWf3f5Lm1LDDnfVgPPmhfu0aDN1qOd3xIrXoFbVcUZdP71dVVLl261NA1BfsfIRy3OLlcjtXVVfd9qwFu59zt9hqbuV49K8HfKNeqn3fbTgTGG0kuCBOQWtvaRbNjOMKoFyfxi4eX+fl5bty40ZZ6CPYWMQDwFqZYLLK4uNiyn70ZkXEsBO95/jEhjQbT/dlezTa0rTbMYcJj29VJDuv1tkPPb7KOzrPw/5Vl2U1w8O6rlf3kbPce791e79k4ZfsFMuxZ+F2KDteuXSMWi9HX1xd6TcH+RgjHLUqlUnHTbhvF27hA66PDtxsID2uEmymn1rntznaqRytpsM55QX/9z8f526h70P9ZBdXN7xp0hMpbF+/1gqwa77P21vXChQtEo1E6Oztr37xgXyNcVbcghmEwOzvrvncah1rLutYKonrPa2SEuPcaQfuaoeVYxDbK3W/B27C4STtdT2FWkj/O5F1mFqpLCzuvvUvPhiVUWJbF2bNnKRaLbbkHwe4jhOMWwzRN5ubmas5t5BWPRhvK7TZUe5mSuhvslAVTL9W1WWrFXhoNlHsX9nLwxjFqxZz8/wF3gKCzLLHgYCGE4xZjeXk59MdYr8HZiQa7lTKbjWEI6hOW0dYIrXQgvG5PbxwMqu7UycnJfT2SXxCMEI5biGKxSD6f3/QDD3Mf1aMZq6TWdVrtje+FOGznmjvlWgsrs53uqu2k59Y71xsX8abpWpZFPp/n6tWrLdRasJcI4bhFcBZjCsIf6KzV6IStilePnQhkt5t6VsxuB823y36qb9BkmQ7+2Ic3rmLbNjMzM2JCxAOGEI5bhJWVlU1zUMFmiyFslLL3fSMEZT3Vy8xpBuGm2n1qWR21Muv82VL+/f7/9b5n58+fFy6rA4QQjluAUqnE+vp6TdGoR7Ppov70UOe1P12z2fRb5/VBFIedDJAHrYNR65q1GuhaKb3eMmvtC6PRjkfYeui2bVMqlbh+/XrotQT7ByEcB5xaLip/OmQY/sah1QBoq+d7j3fmrqr1v1nqpd/WGzOy6fimr95cfWodH+QGcurutxJqNfq1rET/+0afcy0Ls5kpUfwputPT05umxhHsX4RwHHBWVlYwDCNw8BU01lC1OlCv1eNbLavdloi3kQwTLPf4kLL8z7tWALmR+wsaB9FuwsaI7BRBLiv/cxMuq4OBGDl+gKnlomrmhxcUEHd+zH/wB38AwM/93M/VPN/fGNRzpXiP81/Pf37Q8c3SqNslzEVm2zZ2nWP81wgS44asmhpWQphV14hbsNaobn+wutHywq7jn57Ei3/SSv86H8VikevXr3P48OGWri/YHYTFcUAJy6KCxudmcvD6t2v1mtfW1njrW9/Kvffey8tf/nI+8YlPuI3a6uoqb3vb27j//vt55StfyV//9V9vCo5++MMf5kd+5Ee4++67+eVf/uVNdXjVq17lTo8iAuPB1HPZBQWkvf+9I769/70xFK9AbWct+Xp43VlBgnbjxg3hstrnCIvjgFIri8o7p1BQQNQ7CKsZfzjAe97zHiKRCE8++SSTk5P89E//NKdOneLkyZP82q/9GpFIhK9+9atMTk7ylre8hdOnT3Py5EkA+vv7ectb3sJXv/rVLSvCveIVr+CJJ57gTW96U8373U+pp0EcNFELy4qCxidADMKJvfjnt/Lud/4GWSi2bXP+/HnuvffepqeRF+wO4lM5gJTLZdbX1wG29BIdarmPmol9eCkWi3z2s5/lHe94B6lUihe84AW88pWv5PHHH6dYLPK5z32On/u5nyOVSvH85z+fV7ziFTz++OPu+Y888givetWr6Orq2lL2K17xCr7whS+EXn+/N8x7KWztHAzoLbPVY/0usFqWDgR/Hy3LolgsMj093YY7EewEQjgOGJZlsbCwsOnH6Q8yNvKjbzYAeeXKFRRF4ejRo+6206dPc/78+cB9ExMTXLhwoaGyv+d7voepqSkxCGwb7KVwtZJhFWThel1mpmkyPT1NoVBof4UF20YIxwEjl8u56zf7rYqdpFAokE6nN23r6OigUChQLBbdfU490ul0wz/6SCTCi170Ir785S/XPOagWxzbtQr2Qhjacc1mynAmTHSelWVZnDt3btt1ELQfIRwHCNu2yWazgW6onQxmAqRSqS3Lz+bzeVKpFMlkknw+v+n6hUKBVCrVcPmnTp3i7Nmzgfv8mVutsNPCc1DLD3uu7RCORq2OoGs637GwJBDB3iCE4wCRz+cDp7b2uqy8we9atJInf+TIEUzT5MqVK24ZZ8+e5eTJk1v2AUxNTXHixImGy3/yySd58MEHm65Xu9jvFk09diLOAY2vTQ7hgfYwglKLvd9hMaJ8/yGE4wCxuroa2sB5s6jq9SRrpdzWIplM8n3f9338p//0nygWi3z729/mC1/4Aq973etIJpO86lWv4gMf+ADFYpFvfetbPPHEE7zuda9zzzcMg0qlgmVZmKZJpVJxXW7ZbJaLFy/yvOc9r6G67Ef2g/C0IhztrHetTKx643mCJkH0UigUWFpaals9BdtHCMcBIZfLbUm/9dJooxE0MC2oDP9rSZJ49NFHqVQqPPDAA/zCL/wC7373u91023e/+91UKhUeeughfvEXf3HTPoA/+qM/4r777uO//tf/yic+8Qnuu+8+/vCDH8QoFnnis5/lwRe9CCnAmgqq836kkee/H1OKG3FVhcXSvNlR/pTaMDFotE7OudeuXWv4fMHOI9X5Ue7/X+xtwrVr17ZMLeL8WJsRjWZ+xEEjx/0NhHd70EjkoG1mqYSWzWKVSiBJvOs//AceefnLefmLXoQSjxPNZJATCbdcbzlewkY4+++xnnsubL+ey6GtrhJJpYj29gYe04i41YtD1bsf/+fn/yz9n01Yec2MFK/1mTdLM2X4LRdJkrjjjjvorfH8BW2jocZBWBwHgEKhEDgfFTSfb7/TmVhB7jL3mrZNZXmZ8twcmCZqMomaSJBIpXjogQeIJJNgmpTm5qgsL28+l5spnv5R1LIsu9u9r/0NbNio67D7kSTJ/TUFWWJBzzUo3dSpV61r+BvKWp+Vf1yO932jn2+9keh7TVCdRKxj/yBGjh8AVlZWAkffNtvw+xufeg3GC1/4woau2UjDY9s22soKxvo6ajK5ad+v/8qvYJomlm2DqqKoKkYuhwREe3tDG9Ba2/z1C0oq8Nev1nbbtrE82Wu1zgl7bwecH3btRp9zkKux1iDPoM/cbx0G1TtI2Fqh2TK8x9u2TS6XY3V1le7u7m3VQ7B9hHDscwqFArqu12ycW0lVbfTH+8IXvjCw91yvwQzCLBbRs1mUgBRdia2NnJJIoK+voySTKBtuq1Y5CDGSVqkXeK63zfs+bGLCIIvIX47fwgtyLTbjWg265rVr14Rw7AOEq2qfs7a2FtrTbDRY7g9WNvo/qIxW0NbXkaLRQAdqUImSJKFEIlTW1lq63n5kt1xC7RbKWpaI/3vif+0/x3Eltlpfy7JYX19n7Rb6ThxUhHDsY0qlEpqmbdr2/ve/n9///d+ve2697KlWGrFWGz5L07DKZZRIpLnrRaNYpRKmb1LEnWaL68u2sS2r6koL2h/weqfrVYudjFm0MuFgkJuxluj4kwdq3YvIsNp7hHDsY+qN24CqRfIzP/Mz3H333bz0pS/dNLHg//yf/5PXv/71nDlzhne9612B5/qnSXd45Stf6U51HkaYC822bSqVCnqlgmaa5EslbGAtn6ekaWiGwdLaGpphsJ7Ps7iygmVZ3FhYIF8sUigWub68TLlUYmZmhitXrqDrOlNTU6yurrK2tsZzzz1HpVLh4sWLXLx4kUqlwnPPPcfy8jKLi4s899xz7jkXL16kVCq558/NzTE1NYVhGExNTXHlyhXy+Txnz55lbW2N2dlZzp49i2XbXJqbY25pifX1dc6ePcv6+jrT09OcPXsW27aZmppiZmaGtbU1JicnyefzXL58mcnJSQzDYHJykvn5edbW1piamqJcLnPlyhXOnj3rXn9lZcXdr2ka165d49q1a+i6zoULF9ze9uXLlzEMg5mZGZaWltA0jZmZGUqlEsVikaWlJSzLYm1tjWKxiGmaFAoFTNPENE00TWvJemw15bvRMmolGfitl2w2Szabbagugp1BxDj2KeVymVKpVDOg6PiRH330USKRCF/72teYnJzkX/7Lf8nExASnTp1icHCQt73tbXzlK1+hVCptOTdomvTTp09z+PBhXvrSl/K5z32O7//+7yedTmMYBisrKwwNDTE9PU08Hqezs5PLly8zNjZGsVhkZWWFU6dOce7cOdLpNF1dXUxPTzPc08N6ocC6pnFibIzltTV6MhnikQiFcplkLIZeKmFuZC9FVBVZklAUhVQshkJ1XizLspBlmeHhYeLxOLIsc+jQIVRVZWxsDKjOe3X8+HFUtfrV7urqQlEUTp486WY1nT592m2ghoaGsG2biYkJ9/k4r7u6uhgeHsbI5zk+MlJNx+3spLOzE8D965zjNHKdnZ1IkkQymcS2q1OMO9e3bZt0Oo2iKIyNjWFZFoqicPjwYSIbFtnY2BiRSMRNPZVlmd7eXmKxGJZlkdxILlBV1S3TMAwsy0LXdXK5HN3d3SwtLdHR0QHA1atXGR8fp1AosLKywsTEBFNTU3Ru3M/09DTj4+Pk83nW19c5ceIEV65cobe3l2g0yurqKn19fZTLZQzDoLOzk3K5TDQa3TTHlPdvLcIWego61ptUYJomsixz/fp1MplMQ2UI2o8Qjn1KvYVsJEmiWCzymc98hk996lPuVOcPP/wwjz32GP/m3/wbHnnkEcrlMt/+9rfJ5/PMz8/T29vL8vIya2trfOYzn+EP/uAPKJfLHDlyhBe84AX81V/9FT/6oz/KPffcw8c//nEeeOABYrHYpmt3dHQQiURQVZXR0VGSySTJZJKenh4UReHMmTPusWfOnMEsFomUSgxtBLmPbzTyAIeGhtDyeZKGgbTRAA309FR32jY9nZ2o0ShxTyaWt8FwGlun8QI21VdRFGzb3rQ/LLNoO/gbTu91HCGzLMt97fwFSHgSAJwJI71zfXkDws6xAwMD7rZDhw65rzOZDJZlbZry5Y477gCqn93Q0BBQ/Wyc+3bEVlVVUqkUkiS5nzPgDj7N5XJUKhVSqRRXr16lv78fgMXFRY4ePcrMzAySJDE+Ps61a9cYGBhAlmUKhQI9PT3ouo6iKDXdUE7nIOi5el+vrKyQz+e3TLwp2B2EcOxTCoVC4Aha7/tLly4hyzIDAwOUNtw5J06c4Mknn2RqaorTp09z5coVKpUKtm1TLpexLItEIsHly5dRVZUHHnjA7b1/7/d+L9/4xjc4fvw4hw4d4rd/+7cZHBx0f5xOg+VtxLy9bm/j7EVSw79mSjyOUShgGwaV5WVivb1IslwNmtu2Kyg7RbtiE/sle6uZrCXnWEds4/E48XgcwBUFgPHxcQBGRkbc+/R2EHp6epAkieHhYbdsx7LSNI319XW6u7u5fPkyiUSC3t5erl69yujoKIZhkMvlGB8fZ319nWQySTQa3SIY/syt+fl5IRx7hIhx7EPK5bI77sC2bXRdxzAMrl69SqVSIZ/PMzk5SaFQIJlMUiqVUFWVrq4uOjs7MU2T06dPI8syZ86cIZlMoqoqhw8fJhqN0tnZiaIopNNpUqmU2wN0pkmHak/+gQce4G/+5m+2fT9yNIocj2PqeuB+SZarYqEoVfFYWakGozUNJZFA8Vk87aZdweRGytmPg+2aoVb9HTdgIpEgkUggSRL9/f0kEgkymYxr0Zw5c4YjR46QSqU4duwYqVSKWCzmipUTB3LiV45rbWFhAcuyMAwD0zSxbVvMX7WHCItjH+IEbnt7e90ZZ48dO0Y0GkWWZVKpFGfOnOG5556jVCrR19cHQF9fH6VSiVQqVTcDxj9NOuBOk+5w+vRpdz0E27YpTU9Tmp3FqlSQYzHiQ0MkN3qi9Yh2dlKem8OORAJTciVZJtbXR2VpCVvXqSwvI8diJHdhion9Yim0k1bcb+1y2UFjM+I6Vo7TgYHq9PoOTofH6Ujpus7FixcZGBgglUpRKBRYX1/fZPUKdgchHPsIXddZXl5mdXWVUqmEbducOHHC7eUNDw+7fnFJkjh69Kg7nfmRI0fc7B7v5IL+rBSnLGcq9MuXL3P06FH3XK9f/G//9m/52be+ldVvfYvFv/3bqjvJssA0sWUZWVFQk0l6HniArnvvDXUpKckkaiaDkcuhJBI3xcObfrlheVSWljDyeVRZhjZYG7eiMNSjFRFoNGDtL7vWwED/QED/AEBnXfJa9YxGo0DVDeZw+vRpbLu6Tsfs7CwzMzNEIpFNMSLBziNcVfuICxcucP78eeLxOEePHt3i5/X/wJLJJI888gjvf//7KRaLfPOb3+Tzn/88r3/964HqVOalUsmdylzTNHcqc2ea9D/4gz9wp0L/whe+4J6bzWa5eOEC/WfPMv/5z6OvrGBXKqDrYFnYuo5ZqVBZXWX+c5/j6p/9GeZGmmdQXQFiPT2oHR2YhYLrttpylGmiJBKo6TRKIoG2sIBdZ7qQetxKwtFOV1fQyO5Gr1dvkGjQ96CZWQ7CXGKKopDJZDhz5gxPP/00k5OTDZUpaB9COPYRx44d48SJE5w9e5ZisdjQOe95z3sol8u88IUv5B3veAe/9mu/5pr7H/zgB7nnnnv4L//lv/D4449z991386EPfcg999FHH6VcLvPAAw/wzne+k/e85z2utfLFL36R+0dG0ObnsXQdZHnTf+8EebZhUJ6ZYfqjH4WNXqt/tLFt2yBJRHt6iA0NISkKRqmEXixiFouYpRJmsYikqiRHR0mdOoUcjWJpGpWFhU2WiVNerUbLu76Dtw5Bx/qPtyxry/oQtmXd/F9jtLS/PG85/jL9BE2c6H296Vl7evHennxQ7z5oTIR3kF0jQlFLdBsR43bMqFur3PX1dUzTFHNX7RFiWvV9xpUrV1hcXCSZTJLNZlldXWViYoKVlRWSySR//Md/DMDb3/72hspr5cdr2zY/88/+GS/s6OBFo6Nu4+ltmCzbrrqbnEYLkCMR+r/v++i+//6GepampmFoWlVsZBlFVZE8o8tNTaO8YXEosRix/n6kFkYvNzKletjvwMjn0VZWUEOmVXeo16B6xyTsNLXuq1bPP2jCQ/85zv56k0YGlRlErefhvV65XCaRSHD16lU37jEzM8OxY8eIxWKMj49z/PjxhuojqEtDJqGIcewjnCCgM/DLGWQH1bx1y7Iol8vk83n3r2maDAwMUCgUSCQSm1Ji/bGNsB+xv8GQ1te5z/kxblgLdvWALQ2P89oyDFb+7u/ovv/+hu5XiUahRlzEtm3kSIT4wADl+fmqW2xxsWXx2C/sh6yqMPeT87eW4HjLcITJbw15rU2/4ASVqes6qqqyvr6ObdukUikuXrzIyMgI5XKZ5eVlTp8+TTKZJJ1OE4vF3LE8kiSxtLQkhGOXEcKxj8jn81saZGeU8PHjx5EkiZe97GXouk4sFqNYLLrxi+npaQYGBrAsy/0hOSO8e3p6WFlZcU16wzDcYGLQYLXSjRu8/cEHsWvFIUIwCgVKN26Q9Azy2w5yJEJ8cPCmeCwtEevrO/DisRtxl53MrPJ/b7yi46TNOplV6+vrpNNp8vk8xWKRgYEBLly4wODgIJIkudaDM3aps7OToaEhkskknZ2dDA4OAtUBj34LRZIkyuWyyK7aZYRw7CPC4hrOD/RFL3qRu82bbeJMk+FMeaGqKplMxp2yoVgskkqlKJfLLC4ucvr0ac6ePUs6naanp4dr165x6NAhKpUKM+fOodg2uXSamKYhaRpaJEJU07A3GhbFsrAlCclxWW1gWxalmZm2CQew2fIol28J8div+OM0iqJQKBSIx+PuQL2+vj5mZmaIx+OuC2lsbMxdL2NiYoILFy7Q3d1NR0cHi4uL7tgOZ3T62NgY8Xjc/Z7atu0OHgTcbUGj/IOmLFlcXBTCsYsI4dgnlMvlTetu+M39RpEkyU1j7OrqcrcfPXoUqObMO+M+nPmVoDoy2Mmrj9k2umliKQqWLGMrCoV0GjWbpZhMUolE6F1ZYbmnh3iphGKaFNJputbWKKRSaGtrdOo6ly9fZnBwEEVRWF5eZnR0lNXVVWRZpquri+XlZTd/v1wuk8lkKBaLyLJMNBqlUqm4dTIlidjgIOW5OYxSCZaXq+KxD1w/O40zPxOApmlEo1F0XUfXdRKJBOvr68TjcXdKkK6uLvL5PJqm0dXVxczMjGttzs/PMz4+ztzcHLZtMzQ0xKVLlxgcHMQ0TRYXFzl+/DgXL14kHo8zPDzM9PQ0o6OjWJZFPp+nr6/PnSdLURQGBgaIxWLEYjHXzeqMKrdt203WcAb5Ae4cWg61kgbqffcdARHuqt1FCMc+wXFT+TNmWsWfUVQrGOpsd6ZuUFWV3o4O5hWFzMYMpKZl0bexlGtmww8N0L+0hA3YkkRM15Eti3S5TE86vWliPtu23dRixy9umia5XI5YLIZhGMzPz9PR0cHs7KzrXrty5Qqjo6OUSiVWVlY4ffo0V9fXiRgGmXKZ+atXOXzqFPl8nmw261pR3d3dpFIppqenOXToEKurq2SzWXcCxv7+fmKxGNPT0xw9epTFxUVKpRJHjhzh/PnzDA0NoSgKMzMzHD16lNm5ObT1dUZiMS6fPcvw8DC2bTM7O8uJEyeYnp5GVVX6+/td37xpmszPz3Py5EkuXrxIOp2mu7ubq1evMjw8vMl371h+zqSQo6OjrK+vk8vlmJiY4Pz583R1dZFKpbhx4wbj4+Osra2xvr7OqVOnmJ2ddRvv1dVV0um0Kyxwc1S3LMt0dHSgKIprrUYiEQ4fPuwKdE9PjzvjgIP3tdMZcSaHtCwrNKtpp0bTe60RWZaFu2qXEVlV+4Tp6ekta284NLNqmsN2xKc4Pc21j3wEW9erwuBdLrVaeM1zpUiEQ296U0OuqrAMo7C6W5pGaW4O27LcTCfTNFFVFV3X3XXHK5UK0WgUTdMwTZNkMkk+n3dH4JdKJRKJBJVKBcMwSKfTm3rvxWKRjo4OcktLaGtrdPT0UNkYbCZJEqVSiY6ODtdKisVi5HI5kskklmWhaRqpVIpSqYSiKEQiEcrlMpFIxI1NxWIxd+I/xwXTyroXtai1Vn0YjX5vGs0Qa8RyqJWlVW8cibf8sbGxTQNYBS0hsqoOEnqNeZxaZTsWS2J0FDWVQg9aaa1OuXIshhSJYJbLKB7XRBCtupnkaJSEEzAvldBXVty1yR03HdyclNE7W653UjzHXeLEgWDzpI1O5k4qmSRSLiNLUuDMvN5pWrznO3VJemb2dURFlmV3FoCIJwW5EdFoJujtvbdGaTZA3g6amWrdubY/y2t1dbVt9RGEI6KL+wBN00J/NLtpbTjX63nRi6pjKvzlhFkbqkrmzjuxymXK8/NuMDusns1s9yLHYsQHBpAAo1hEW1lp+Z53I8PJy3Yb3J2ub7vjRjtVX3dM0Yb708kyFOw8Qjj2AZVKJfTH2kqPcbs//q777ycxNFQdKd4IikJiZIS+l76USCYDsoy5ISCluTlMz0JS9Wi07nI8TswRj0IBPWDFxN0Uhd0K1DdznVbjB+0sfzvHbBlfFDKC3rZtcrlco1UXbAMhHPuASsia2mGjfL1/240sy4y/4Q0kRkfrrqfhTBMy9uM/jhKNEu3qIjEyQqSrC2QZq1KhvLBAaXYW05Ny3I5GXfGIh57Po/vcFTsVnA1it0RqP1kcjRzbaH390614z/cPTgyamgUQwrFLiBjHPqBWUDwMf9ZU2HH+H2HDPfpolENvehOrTz/Nyt/9HXqhAKbpThEiyTJqKuXOjit7RoHLikI0k0FNpzHyeYz1dSxNo7y4iByNEslkkGvEQJptGJV4nFh/P5XFRfSNqeKjnjEu9dhtV9V22ekBhO0uO2zmAv/cWo6ryR+/aLSe9VbOFLQHIRz7gDDhaKah957jEDSAqtHr2LYNskz3/ffTff/9FK9fr67HoWnVAPXISNUiCalfkICYmoa1uAiqSiSTQfGNYg8SO3/9/Rk1SiLhruehb/Q6I93dm84NS02uR71sMqf8Ws/R33AG3UdQeUGf32758Vv57gWd679XL7U+50ZwpmX3niuEY3cQwrHHGIbR1sC4l2Z++PWOkySJ5Ph43YWb/HMTuXWQJCKdnagdHRi5XPV/pYK5sICkqkQzGZRUqq4lFRbDkBMJon19aIuLVfGQJKLd3e7zrdU4N4Rdna8rjFrPMEgk/J95M/cbNAeUX3T9wtpIXWuVGbS/ke9Ls3iFoBGC7ssJkLczpVmwFfF095hySNZRqwT1fP0/srAfdtAU4N4GK+y//1r+Xqe0ISDxkRGiPT1IququNV6emcHcWLo2KDMsqKHwb1M2xAPbRs9mqXhSiuuV6VgF/v/ufXmOCaLecwm7j0YIK6fW8w8TpFqfXSOfbSvWWyNu1WbwXtsRYsuy3OWPBTuHsDj2mHpuqkZppKfZSIPinFurjHYhSRKRjo7NMRDDqKbVZrNEOztRPeMjvPWqt01JJqsxj6UljGwW2zSrgfoN/GLRaLxIqnPMTmdVtVp+s59jo8c3+n3yllnvHoKOCbMggsrN5XJbpjQRtBdhcewx9TKq6lGrN7hTDX47ceqoptNVC6S3t5rBtSEgxZkZjFyubmwhCCWZJLYxb5KWzaJvTJ9yO7Jfvgve9NlaFo1XABzrLmwQo/94EJlVu4GwOPaYWhbHdoKGBxU1lUJNpTAKBbS1NWzDQFtdRVtfJ9LZSSSVanxcCaCkUkSB0sIC2toayDKRBibXu9VoxXJsNj7WzucYZAF6xSNILLzHC1fVziOEYw8xDKNmMLBR98mtiJJMkkgmMYtFtGwWW9fRV1fRs9mqgKTTDQtIJJ3GMk0qy8toKytIgOoRj51ObT2o7NZgxqDr1otl+V/76yqEY+cRrqo9xHFTNRL03Wv2oj5KMklieJhYXx9yJAKWhb62RvHGDfRsdtPki2Go6bTrtqqsrGDcZimb+zX20q5reNd0lyQJ0zSFeOwwQjj2EMfa2Kve3X4kSKCUZJL48DCx/n7kaNTNmCrduFG1SEIExBtHiW0MCqwsL++peBwEK6ed2VI7dV3neG8qsiMeIs6xswhX1R4SNiPudhqXZvzT+42w+1YSCZREArNcRl9fxyqXMbJZjPV11I4OIp2doasCqh0d2IC2skJlY30RxZe5tR2azVzajevsxjUazZjaKYIy40pNzI0maB4hHHtI2I9zO6ODD6poNIoSj6PE45iVCkY2i1kuY6yvY+RyqOl0VUA80594iXR0gGWhra1RWV4mBsieac8PArthsbSSwrtfsG0bwzD2uhq3NEI49pCg0cO7MYZiPxA2MK1RlFgMZWAAS9PQ19aqArIxKt2xQOSACRojmQzYNlo2i7a8jGrbW8aMtMKt/pntFvWeY5B14x+bI4RjZxHCsYf4hcOfZuhf+e9Wapja2UOVo1FijoBks5il0k0BSaeR0+ktAhLp6sIG9LU1tKUlkCTUA2Z57CfqfTebWcUyrKx62YbONYRw7CxCOPaQsHl56vWqws67VQnzpdu2jRqPo8RiVRfW+np1gaf1dchmiXR0oPgskGhXF0gSlZUVtMVFpIEBd8JF7zXd/77t3mtv5578ZdRLSd2PHYh6dWpmxHiQODTruhXCsbMI4dhDdurH72+Eau33T4zXav2CygkrM2iSPy+1ppio19t0ypSjUaJ9faiaVh01ns+j5XKQy1UHBXZ1uQIS6ezEMgz09XXKCwvE+vs3iYd3ZLMVMErf/xyanSamlVTseo2of+oZ53MIsnDblQoeJKRhc3rV277d34YQjp1FCMceshPTY9f70Qbta2SmVH/ZtVwPjfz462XgtGtmUzkaJd7fj9rZiZbNYhYKmIUCpUKhKiCdnUiRiOu2MtbXqSwtVcWjznrp+xn/Z9CqQDmfU5ggOt+FoGu02vg368YMuo4Qjp1FjOPYQ3ZCONoVOwiaV8jB3/AHHVfvb717r9UQtdIYyZEI8b4+EqOjbhDcLBQozc5SWVjA0nWiXV3VEeW2TWVxMXSt9LA6t5sgC8c/43Aj28JE3DuALuiZe/f5/wdNWe+3drxWT9jswq0SVF4z07MLmkdYHHtIO4QjyCpoV059q2U0Ih6t+MRrxRWCygrK7ZcUhWhvL2pXF8baGkahgFksoheLKIkEamcn2DZGPk9lcZHYwABKLNbSJIt+6llftf4GCUJQmUEC43/etb5vO9WQN2Ll7MS1bdsWwrHDCItjj2jET+1/H9RwBv0Q2+Xq2W8BWC+1erKN9G7lDQFJjIygZDIAmKUSlfl5LMOoTm9i29X3IbMXB1GrZx52H2F/28Vef5Zhwhn2vIIsqCD8YuVYUYKdQQjHHuGY/0F43QPebfWC3s5x7Wa3Gp3dbtwkVSXW3V11YW1MfGiVy1iahlEqYWoa5fl5zAbXhN/rxjmMdsQNdvP6/nr43aDeTkKtuoo4x84hXFV7hGmagemljYhDGO1M1bxdBiNKikK0u5tIJoOezVbHf8TjaNksRj6PUiiQsyyyq6sMSRI9G3NebSlnl57TrfxZNEIt1yRsjr9pmkY0Gt31+t0OCOHYI0zTrOluglu/sQ5ir+9ZkuWbArKxZrm+tsZaocC3b9zAsizOX7nCS17ykprisRvIsnzbuWHquam8FokYBLjzCFfVHnGQfvg71Zjv1965JMtEMxkSY2Okjh6lmExuWtN6cXGx3dVsituhQ9Gqa8vb+QibRFSwPYRw7BEHQTgaGROyHVoZGb/dazR1riyjdnTQPzDgJhzIskx/f3+7qnfbsFPfobDyD8Jv7KAiXFV7hD8LZKd/WK2wH+vULI0McqtHJpHge06eZE3TGDp0KDTGsRu04tJrpm4HMcHCKd9x49m2LeIbO4gQjj1CUZTQkbbeNZb3il3PctqBGEdbGnPLoiudpi+VIrqHsY3t0MxzbfVzCDuv2biMv6x6dQoaWBqJRBq+nqA5hKtqj5BluWY2VasjpOHWsBL2kqBnb9kb81TVObeZQWfb+Zz2ukPRCu3M9POOzwmz2IXFsXMIi2OPUGosNATBvv9GG5p2Nio7neXkv6ft+qRrjUgPalxq3VetEesSUO8TaDXbqdbnG/aZB53jHSHufQ77wYW2nY5Q2EDKsHtTA9ZiEbQH8WT3iGZ+zPWObfdYkGZpVWD8jUE7RKrRxiVsWozdYDuDOf3pp0HnBFmw3u+Jbdtb3KH+sRDNPpt6I+QbTTv3D/bz168RFEVp2wwKgq0I4dgjVFVtWw8trCft/Aj9jYRfbJr1Kbda1zD2ehzHQWE7z8h7btAKlHBzxtsggqbCCXrvnfwwzK3UrjFM/lHlYRa9YPsI4dhDFEUJ/YG2GqAMWzmwVg+/lntHluVA371/Qj7v9mbqKoRid2jWam3UCqoXm3O+i/451Hbqc3fqLQLjO4sQjj1kuwHSsHEQOx3rqDXq3etf984lFPS3Xv1r9VSb8d3Xew7tFK/9LIJhsZcgV2c7rch6dfB/F2zbbmqpWecc730I4dhZhHDsIWE+WL/p7d/uf+3d1u6efCtuM38jX+tv2LXCerfO+0YTB4LEx7HOGiojJEDrv06j9Ql7BvUC480S9p0Icje1WwTDyqv1LIJWggx7Nt7twlW1swjh2EPChMPrZ26l4d5pi2O/0GgjXcsXHxZo3lRGG+vjve52ytgp2v1ZtxqzCHKH1uoA+D9jYXHsLCLtYA+p1ytqtQFpd8OzX0XjdmWnhaXVz7udQlgr3uIVjFpWOQjh2GmEcOwhQX7+7dJO/7TDTjVUuyVIe92DD6JdmVG7cb39jtdlKWIcu4MQjj1EVdUdaeQPisWxHxv0W5W9GEC6W/hjgJIkicF/O4wQjj3EP+2In3YPwmoV0cDvL3aycb8VBs3Ztk0sFtvratzSHPxvyQEmLMbhHUfRDEGBwu2yk8Jxu4pSq/fd7s92N9iO0LUyENW2bTo7O1u+pqA+Qjj2EKdXdBDcVQJBGPXSbVstq9GsOaeD5VgbwuLYWYQjcA+JRqM1pwLZTz3L/VIPCF5buh6NDAL0HxuYvhsy3UajgxJrNYpBAx7Dym32+7HTsYuwsRXNXrvZlGZ/+el0uqnrCZpHCMceE4vFKBQKWwbOwdbBcq00mruJf7S4Q1Bd25Hy2UwZYYPtag2k9LypHldjbicvjc6O6ww8bKSO3n3NdCq8xwbN3OsdBLnd71NYKu5243SNTJnjRbipdh4hHHtMNBqlWCxu2R7UGw2yTILYCWEJmu4j6AfuPcZbn71kPw9g3Em8jW2QUDn7wqZy8QtVUAPeSB1arX8ro/U7OjpavqagMYRw7DHxeLzmvnq9y7CGoNGeby33SNg8UrWu3QreRv2gN/D7ue6NPNsg66OeUPhH4Pv/NtLo19rW6vchk8k0fY6gOURwfI8JE45G/eZBBM3xU8vcr2U51NvWbvZzw9tudtvV2OizbSZG47z3WjTev2FT5rRzLi5vWfF4XKz8twsIi2OPUVUVRVFClx0N6nkFxRO8f/3urVpTONSjUfeYoDn2UiS3G1gPixfV2hZWhvM9DVpYqtnnJNxUu4MQjn1APB6nUCjU3N9sYLedtOrbbrTsWpZQK/h98QdJ5Gq5eoL2QfAkgGENrf+7UssKaEfSgkOjS+k659YK3oe5vfzbhHDsDsJVtQ8IMq39janjAmjWb9zOWES72SnRsyzLteA0TcMwDCzLolAoYFkWlUqFQqGAbdusr6+7x6ysrGDbNoVCgfX1dWzbZmVlBU3XMUyTlWzWLSefz7v7DcPAMAxWV1exbZtisUi5XMa2bXK5HKZpYhgGpVIJ27bRdd2tX5C16H82fkuykXNaYbuB7J3AH9h3MsRqXVfEN3YHIRz7AO9gJX8jAdUfSzPrC7Tqlgqj0WB7GLquY9s2pmmSzWYByGazbiN99epVNE0jn89z/vx5AK5cucLc3BymaTI5OUm5XGZpaYnJyUkAJicnmZ6eRtd1pqamKJfLzM7OuudfvHiRpaUldF3n6tWrmKbJ8vIyV69eBWB6epp8Po9hGMzNzWFZFmtraywuLgIwNzdHuVLBME2W1taQJImlpaVN+yuVCqVSidnZWQBmZmaYm5tzy69UKuRyOa5cuQLAhQsXuHbtGqZpMjU1RalUYn5+ftM9zczMYBgGk5OT6LrO8vIyZ8+eBeDSpUtks1l0XefChQtYlkUul2N5eRmA1dVVNE3DsixXrHbDOvXTynemkU5RWLnC4tgdpDof1O0TrdxDDMPgypUrdYOIYXGQoPPa7V4yDMNtgHK5HJ2dneTzecrlMv39/Zw/f57h4WFUVeXKlSucPn2ay5cvo2kaExMTTE1NufuvX7/OxMQE09PTSJLE0NAQ586d4/Dhw9i2zdLSEmNjY6ytraGqKslkkrW1NTKZDLZto2kayWQSXdeRZdn1j9caNV/r2TXSoBq5HNrqKmoqRbS3t+ZxzTSUQW4Zy7JQFIVKpYKiKCiKwvr6Op2dnVQqFcrlMplMhoWFBdLpNNFolKtXr3L06FGWl5cplUocOnSIyclJRkZGiEaj7udw7tw5DMPgzJkzTE5OMjY25n5OExMTLC4uIssyvb29LC4u0tPTgyRJmKbZ0EyzzXw3wwiKz9U73iGRSPDiF7+4LfW4jWmopymEY59w5coVdF0P3Of8iFrt9ddtGA0DVVXJZrOoqkosFuPChQscP37c7X2fOXOGZ599lkwmQ19fHxcvXuTEiRNks1mKxSLj4+PMzs7S3d1NNBplfX2drq4uDMNoyGJqZdGqZghr2Oo9190QjkZoJs3ai2PlOWUUCgXi8TiWZbG6usrAwAALCwtIkkRfXx9TU1McOXKEcrnM3NycK/qpVIrR0VHOnTvHiRMn0DSNXC7H4OAghUKBSCTifs6Nxjf8mKbZUuBekiQGBga46667mr6mYBNCOA4SMzMzFIvFwOwTx6dbaxBXPSqVCtFo1PXBd3V1uY1DsVhkYWGBO+64gwsXLpBOp+nv7+f69euMjY1hmiaappFOp1u+fiMI4ajPdoSj3nn1ytZ13e0AzM/P09/fTy6XY3V1laNHj/Lss8/S3d1NV1cXly9f5uTJk6ytrVGpVBgZGSGXy5FIJOpOd97sM/SKzMmTJzl06FDD5wsCaUg4RFbVPiGRSFAqlbb8GLwZM/XM90qlQqVSobOzk8nJSUZHRze5jUqlElDtDQ4MDBCNRkkkEvRuNIYnTpxwyzpy5AiAa4EcZPYy9bUWu5n11Y7reN1VQ0NDAHR1ddHV1QXAxMSEu//QoUMoioKqqq5g37hxg9HRUSRJYnp6momJCZaWllBVla6urk3rizfqpnKsGuf+nHoJdh4hHPuEdDrN8vJy4LiLIHK5HIqiEI1GOX/+PMePHyebzbK2tkZnZyf9/f3uYKg77rgD27YZGRlxz+/r62u6jvtxZHcjDbA37uEfFe216Grem3NOg+V4y6o1ZUfQdPk7mZnUjmMaPTeZTAKbM5wcYbFt27UKHFExTZPz589z+PBhKpUK2WyW8fHx0M/WH8Pr7e0VA/92EZFVtU+IRCLE4/FNjZg3Fdc0TUqlElNTUwAsLS25MYmxsTEikQgDAwOcOnUKqApDu39ItQLP2ymnXpm1cvcbFVj/Oc6IZq/bzfs+6D9OHTzbwsrxluUfSe3f3kzGk/eenft2FgPz/vf23B1qzSPmL7sV/OeGrSEjSZIrLIODg/T19aEoChMTE65l65x/9uxZlpaWMAzDzWJz7sM7Mt0pS7B7CItjH5FOp938f9u2KZfLJBIJpqam6O3tpbe3l/7+fgCOHj3qnrfbKYhBveiwCQ7D5r3y98yDrtXItkbrvF9o5R6CsuSCYgJhY0GC5pbyuom8GU2NZje167lKkkRnZ6c7u+3p06eRJIliscji4iJ9fX1MT0+TTqfp6upyr6soivu7EOwOwuLYRzjrCNi2TTabdVN0T548yeDgIKqq0t/fH9wrDqDZ3rh/mxenh+x3EQS9bqUOB2mU962A93NzYgX++aa8xwGBlk0t110zeDsdXmvF2Z5MJrnjjjvca8qyTLlcZnp6GoCenp6GUoYF7UNYHPsIVVW5ceMG+XyeEydOkMlkkCQJVVXr+vL9P1YnB9/r1vA3AvXEwn88tGcg4H5iP1khO0W77jHs+xH0/fO/91sx/teNZH85cbpcLkelUsG2bREU3wOEcOwzJiYm3Jz6WoRNiugVGKcnWcvFEZS95X/v70nW85XvV8JcYQfhXnaqno3GV8LOh80usDD3mfe72UqsyiGVSnH8+HF35L5gdxGuqn3GpUuXMAxjy/ZavT1/cNnbsDsNvfe//7h65XuDuP79Qa6qZoK9txL72dUW9ln4A9m1vi+1ygn6/OvVxe8Oc7Y7rq+wMvzXsG07dGkCwc4gLI59Rnd3N4qioGma66aCmz0579QasPM9/6DGo56Ly8Gxauq52fzX8vdEtxM7OcgEBacbfZZhx4U927DvUyNpz61+H03T3JINFlSe8zuYn59HURRe/epXMzAw0NI1Ba0jLI59xsTEBENDQ1y7do3Lly+700L4G5GwlMda7EQ6bb3jvH8bIahHWes4f3prvXTXRsr118O27U1puGHHN4rffej38Xt9/WGJCGH/vc/IT7u+B976OeW2StCUNN77cATDmdRRlmVisVhL45EE20dYHPuQVCrFqVOnMAwDXdeZnZ0lnU6zurqKJEluZlUjNNpDbZb9EBsIc73V6217X9cVkRrnN3K9WsfWEqJaYtvqs27E9dMq/nNbTZyodZ6maUSjUaanp7Ftm9HRUXRdx7Is+vv7GRkZaakDJdg+4qnvQ2RZJpVKIUkSkUiEM2fOuC4rZzDg1NSUO523MzhqN1w6O+kiasVCabbsnWKvRbQWu1Wv7Txf27bduN7169dZX1+nXC5z8eJFLMuiq6uLnp4eVFXl9OnT7sBWkU21dwjh2Kek0+ktP8b+/n4GBgZQFIVjx44Ri8Uol8usra0BMDU1xeLiIrquu24u76JBsH03xU42RAc5sL4bgrrfaMVNVSqV3Mk8Jycn0TSNpaUld/0Ux4KIxWJMTEwgyzIdHR2k0+lNCRvxeJyenp4235GgUYRw7FOSyaQ72MmPbdvEYjF3/YSTJ08C1UkKe3p6sG3bnc30+vXrnD171v2hFotFKpWKO3iqUqnUnM49iDD3UDvYqUZyp8Vov4rdTgs93BwzBFX3krMM8qVLlygWixSLRXeRqrm5OTfdvLOzE0mS6O3tdeeyGh0ddbf7vwuOS0uSJDEL7h4jhGOfIsuyO2toGN4eurMeQjQa5dSpU0iSxLFjx7jjjjuAqmkfjUbdleEALl++zMzMjLvCnjPJ3MWLF4HqnFjOkqv+ad93Sjj8Y0f8Ad+w87zuLu/roDmdwv47oi3LsjvJYa1ynHr5XW31yvf/DXq9k9ZGM3Gy9fV1d9nc2dlZbNvm/PnzLC8vo2kaU1NT6LrO0tISN27cAG7OqBuPxzl8+DBQnSrHmXl5dHQURVE2jUAPw3kesViMsbGxFu5Y0C6EcOxjuru73dhGvQazHpIkueUlk0l3MsSJiQkOHz6MLMscOnSISCSCqqru9CfZbJZKpYJhGFy9ehXDMLh27RqTk5OuFbO2toamaZw7dw7LslhfX2d1ddU93zTNTX7sWo2ps8+bURS0P4gggWk1I8mbpWVZljvJYa1sLadefnFrNPMprL71PtMw0fM+s3K57K59vrS0BMDKyor7OXk7Dd4lbC9duoRlWdy4ccN1ezoD7np7e0kmk0QiEU6ePEkkEmFkZMT9bo2Pj7uWszOxYSt4B7LadnV2XREU31vE09/HOFaHf3yDPzOo1dRcv/WQSqXcwLwz2+jx48fp6ekhGo26QfqxsTFOnDiBJEmMjIy4jUMkEkGWZYrFIvl8HqguUFUoFCgUCpw/f94VG0dknnvuOQqFArlczm2wZmZmWFpawrZtLl++jK7r7rrcgLvqoGVZrjDpuk65XAZwGzhvQ1/vWewmzhK8ziJZUPX9O+uEr66uuhbeysoKlmWxsLBAsVjEMAw3aLy0tMS1a9c2CXipVOK5555zpyp3BP7y5csUCgUqlYqbTKFpmjteqLOzE0VRSKfTjI+PI0kSp0+f5ujRoyiKwpkzZ4jFYnR2dnLkyBFs26anp4dEIgFQd4GmIGo99yCr0yEejwtrYx8ghGOf4wwIDErP9AYLW8EvON7es7+H772eLMvu/FldXV1Eo1FUVXVn7B0aGmJ8fByAM2fO0NnZSTqd5syZM0iSxMmTJ91jR0ZGiMViRCIRNyc/Fou55Wua5v51kgDm5+fJ5XKYpsmNGzcwDIPl5WUuXboEwPnz51lYWNjkQrl69ao7Jf3U1BRLS0uUy2WmpqawLIurV69u6mk7jfDk5CQ2cG1xkcsbLpjJyUny+fwmsZuamuLixYubYknLy8tbeu+maXLu3DnK5TLLy8tcuHABqLoMl5aWME2T2dlZDMPYlDFXKBTcWJTzOTgLcUF1WvFEIuG6cRw3pRM7cD6HVCrFmTNnsG2b4eFhNzPJmZpfVVV3tmXHjeT9TgS521rBEU4Hv8UWlDYNuNaxYG8RS8ceAJaXl1laWtoyvxRs7rXVGuzlH8vhvG8kdlCLWj/sdlBr4FqrZTnuL6eezihlSZLQNI1IJIKu69i2TSQSoVQqEYvFkCSJUqlExDQpLC6iJJN0DA25+6GaXJBIJNxGXVVVt0znWv5JKpvNHNvOWvO1UrS3O37DO1uys80f8wm7tjegHob3uHg8zotf/GIhHDuLWDr2VqG7u5u1tTVM02y6EQlby7uWaPiFJghv47Pdhiio7HaX5UzVYlnWplHK0WgU27Y3uVqcXjxUs9uMXI6oqqJuiIF3f5CrxruAlnfKGIe9zsBq1/W9S7d6BcN/jaB7byYw7yCsjf2D+BQOAE6sw0+Y9QHhP06/xeCPn/iDwN5zgnqT7W4MD1Kqb7M086y281xrdTKa+V749/kTCIK2h50HtWfQ9eM9Lh6PMzo6Wvccwe4ghOOAEBTrqOULDnOFBDWeQb24WiJUS3AaeV9rWxB73SvfSRoVsEYC+/WuU89VFdTg1/sMg1ymzVCrTv59wtrYv4hP4oDgz7CCzXMe+X3Mtdgpl1KtQLv3fSM92FpCE/Q66Fphx9a690aeiW3bNQN+O2VBBK0dHlROmKh7Xzf6PBqh1XNrWRtB5QlrY/8iYhwHCCfWAbjppkG0EnNw/NWt0g5B8guRN3jaSENZ79gwSyfUfXPzoLbcZ7P+/bAeuvd1I3GU7dbfO1V+K9Q7L0gkhbWx/xCfxgGiVqxjv9DOGMJOuKrCxg3sRLnbZb/EZLw04mYMo9HYhmNBC2tjfyKE44DhxDq8PTD/D9nJsW+WVhqqnWw0D0qAfKfiMe12Je1l3KhRK8X/+Rw7dkxYG/sQ8YkcMGRZpru7230dRrONZDvSancildZLLZdT0LH+6Uqcbf75przbA+eMqlFeUPn1CIpFOe+dfc5x3nOaoZnEiHaU2yiNpHjDTXdYX18fIyMj27qmYGcQMY4DSE9PD/l83p2FFILHXrQiBIqiNBXrCGrAQ+MFnpRM/1gQZ78/66eRazfTw/bfXy0xcuvgOy7oXholKDjsLafWa+/5QZ+1U47/uTrbtxvD8taz1XNN02zoWUlSdcnkM2fOtHw9wc4iLI4DytDQkJueG9bIhlkl7bAO/D1w/zaHoMyvsCygnaKWZbJbbPfegoL9/mcXJBDeKcmdv81YS63GNrznhGWHOd9TJ+ljYmJi00BKwf5CCMcBJRqNMjAwANwcFV2rIalFrX1+sanX2NRLl/We2wytxmp2m51Kx20V/zWC4mH1ssy8n3WYlVMP59phMxh46yNJEoODg+53W7A/2f+/SkFNurq6SKVSdXvu202frNfY7Mfsn1rsZrZWq8duN3PJX1YrLirvZ12r0a/XGQj63oVZfLZdXaDMmZZdsH8RwnHAGR4eRlXVTb3KWj/OIKvE+WH7p48IG3zWCO0Sk3aL0k4IR7stjnZaWe1yR4bFkIISBrz7w4TLb5EIF9XBQAjHAUdV1U0uK6g9S66DXzic44MWKWo06HxQ0nL3MsW3UYHZbhC6nTjfjzA3ZZBV6p+OPax859zh4WF3an3B/kYIxy1AJpOho6MjMEPJwZ+t5CUsQ8d5XauBcMQmbEr3ev70MFr1rYexV1ZMuwWm3rlhLsqwQLX38wqKnzWCIzZBMxz4LRXbtonH48JFdYAQ6bi3CIODgxSLRUzTrDlVBwQ3JmGNQb34iNdF0Ui5/uwefzlBcRn/2g/e8lsRgXaMV2mF7V4zqEPg3e4V73oNfSPbnYa/GWzbRlGU0NiKk/TgncTRWV1ScDAQFsctgqqq7mpu3l5iEK1kN7VyXK1YS63ert9CcnAG5NWKzXitHr8lFOZ6aybY6+8l+4+td62g63m3NdKjD3Mdei3K7Vh4jVwvDEc06n3/vKI/Pj5OT0/Ptuoq2F2EcNxCdHR0kMlkgJvxjmYax730/7daTtA4kkau62+w/a99B2/aHyReYddpRMSbHVcRdk/eclul1dTbZkTLNE1SqRTHjx9vpYqCPUQIxy3G4OAgkUikrhsnKHOnEZdUPXZqgF2jPd9aQhk0JsE/vUjQsZIkwcZf2SdM/sY+7HWtOvqFazuju/2uqu3QbF0kSWrq+pZlEY1GueuuuzatyCg4GAjhuMWQZZnR0VH3xxjmz29kAadG922Xei6W0IY9pI5BVoI/6F/ruC37a5Tr3xb02vvXbxmFCU/YPftdZe2i2RiQPy4VJjjOMbIsc/fdd5NOp7ddX8HuI4TjFiSRSDA6OrrFlxxEWG94u4S5Tuq5h4Ia7iAffiv1bec97tR1w4TML0Te4x28FpVXdOvhXZu9URqxGPzXv/POO93JOgUHDyEctyjpdJqRkZFNGTe1UmZrTTESRL3Gx5/5E9hzD2j4GqGeCDbDTlpPrVxzO8FsryVVK2DvrYP3v9dVB7Wz3mrht0783zHvNaAa1zh16pSYUuSAI4TjFiaTyTA4OAhsDpbXalAcmokn+P/X66m22mC3u6FvJANsN2nX9ZuNkXgD/N4YkD/2E/Sd8G637Zuz39ZyF1qWxdGjRxkbG2vx7gT7BSEctzi9vb1uqqM/dx4am4uqFXYyc2uvXE1BNHo/u1Hn7WRlhbkSgU1C4nd/1bIovZasZVkMDw+LDKpbBCEctwFDQ0N0dnYCN/3RtXqQ3gCnZVmYprlprERQgDeIWg3ldtxNznm3WhbOdkTFa+W1Wo738whyNXnxj5vx1sN/nrdevb29Yn2NWwgxVPM2YWRkBNM0KRQKm3qJ/piEF38j77dUnMbBLyZeAWonftdIu8Y8BL1vtZxW2IlnVe86/swy/2fp0IiLyjkvKE5i2zYdHR3cdddde+4OFLQPYXHcJsiyzPj4OPF43N3mdzN4j22kYfYGZGsFZf3xj1qusVrbgtxn3kZqO+ymy2u7VkU9C86fplsr88pfpl8A6lErGO79LnmD4fF4nHvvvVdMJ3KLIYTjNkKWZQ4dOkQ0Gq3by1VVteHGrlYj3kgAupaw1BOeWsIS1mAG+e1r4W2M2ykvtRrvsHuudbzfhRhkjTWSBdeIaDhl1hIipyzv9RRF4b777hPTpN+CCOG4zVBVlUOHDqGqamgw1bbthmMJrVoArQRz/YPn/PXw/60lGl4hCmqANzXGTVhDDv6yvW6gIAuqkfsNolXLq9nxO44V6j3e+95fniMayWSypfoJ9jdCOG5DYrEY4+Pjm4ShVsNRa84rP7VcW/XEoZmGr9bo6UZHWAeNYXC2++sRJgpB9Qq6L/84iVp19GYq+adB8bp9gmhlihJv4LqRMoKsU+97v6jE43Fe8IIXuAkZglsPIRy3KclkkmPHjhGJRID6U5PsRGDTbz0ExUu81HNJhV1jvwZm67ndnNdBYmhZ1pZR4c7fehMvNnKcU57/GXvPcVK8nfIymQzPf/7zhaVxiyOE4zYmGo1y4sQJUqkUsLUn6qVRy6BWA11rUkXHzVXP9VOLdi6zelDwDtLzb3f+eucqqyXK9Z51PUvDee+UOTAwIGIatwm3369OsAlZljly5Ig7b5A/LdPbuDQaTK4VBG+Xy8pf7naot1Z7O6hVx+3UvRUXmtd68Yp20LG1RKPWd+Hw4cPceeedt6WQ346IHDkBkiQxOjpKLBZjbm7O3e7P6HFEwTTNTQ1Oo372RgKwrfrstysgO0k90Wy2rFbP8bsGHSHw1y3MOnSSJpzzFEXh1KlT7iJigtsDIRwCl76+PiKRCNPT067fOij7xxGPMAsjqDFvpIFvVDxqjVXYTRq5n1qi0Wqdvc++EYKu72R7Odv9xwRZGs5n4ogGQCQSEbPc3qYI4RBsIpPJEIlEuHr1Krqub2mgvZlA9RruettrNVy7aUHsZ0vFj/NcmrFego51hKeRlGCvVeI9J5FIcPfdd7vxMcHthXBICraQTCY5fvw4iUQiMGPHeV0vVbdWMDYoEO4fVd4I7XD/hI0LaQetupaCrDXv1PhBYyoa+e+1NLxl14pnBAXhM5kMz3ve84Ro3MZIdb7YB6c7Jmg7lmVx7do1crkc0FivtJEym7l+PcJ6zWH18aekBrnInPKMXI7y8jKxjg6ifX2b9gU9E6fsWhlJzTyvoHNbxS9IYXXwZ7w52wYHB5mYmBBB8FuXhr6UwlUlqImTcTU7O8vS0hJws+fbak+9GTdUrXiHt8HzzqvlWC1eF1gY/iyjWufYzjGEC5WD93k4ouQ91m/FBdXZe0+N3o/3vLD7Dapn0HHe56KqKidPnnTXdxHc3gjhENRleHiYTCbD9PQ0pVJpS0MImwUlrPHyZmaFHQNs6fE622q5v5xzdyNu0cg1vO68WvWqJVjOPSqKskk8gkTOa+HUeqaNWm9Bz7e/v58TJ05smiBTcHsjXFWChrEsi8XFRebn52s2Vv7GLAhnnzdIW69XHfY9DWuQmyWogdVzObSVFSLpNNHe3qauUctd1Qhekag3Etx7jrPNa7V49wfFOYLKiUQiHD9+XFgZtxfCVSVoL7IsMzg4SCaT4fr165RKpZoNod837hUIZ7s3uF6rMfOWV8tKaTX1d7epd49emkk39k/74ZzvnOsX9qD0XG/WlG3bDAwMcOLECTEKXBCIEA5B08TjcU6ePMni4iJzc3Nuj7bW2ADTNDetPFivIQvCtm8OPNtOL74e7RScZoL1/uO8br8wKyzMRRX0nByBqLV6XzQa5dSpU/RtJAEIBEEI4RC0TH9/v2t95PP5wNiDd8yHNw7h/HUaPv8xQdQLRm/X6mjGImiWRuvRTEC8kQF83vL8ZfqtuJGREY4dOyYWXRLURXxDBNsiGo1y/PhxVldXmZmZwTAMoLHArT/obRjGppHJ0PggwTBRaSaLq13WRjOuJi9houGPedQSi3qjwp37NE0TqA7mO3XqlBgB3gJvectbiMfjDA4O8ld/9VecPXuWWCzGi170It773vdy11137XUVdwSRjC1oC93d3Zw6dYpMJrPFsgiyNIJwerpe68O7CJL/tfcYf3aV93XQkrVOPbz/nWs7773rYQTV3TnG+9frCgo6J6iO/gB4rfvy7g+L9YRZTV43lSRJjI2N8YIXvECIRgvYts3jjz/O61//er70pS/x1re+lSeffJInnngCVVV51atexcrKyl5Xc0cQWVWCtlMoFJifnyeXy22Z86pRC6CRbCIv9dJdG3FD1XKVGbkc2uoqaiq1KauqXlnev7Xq7D/WuY9m5qPyX7OR/alUipMnT5LJZJq6xu3CnXfeyXPPPRe4793vfjePPvooX//613nNa17D/Pz8FvdePp8nk8nw2GOP8drXvnY3qtwuRFaVYG9IpVIcO3aMUqnEwsICq6urAE0JSJh1EubCCcvyqicejQ60a0T8Ggn6B7nfnO3+6d7D7s8f7A7bn0gkGBkZYWRkRIz+DuFjH/sYp0+f5lOf+hT3338/tm1z4sQJPvCBD/DGN74RgMcee4wf+IEfCIwJOZ2mW9WSE8Ih2DESiQSHDx9maGiIhYUFVlZW6jbwYbGMsHO8x9c61hlMF4YTMN4u9cTFG2vwbw97HzTupdY9ea/R0dHB6OgoAwMDO5YAcCsxPz+PJEm85CUvIZ1Oc+HCBYrFIg899BCJRAKAj3/84/z6r/964Plvf/vbue+++3jggQd2s9q7hhAOwY7jrHE+NDTE4uIiS0tLGIbh9oSDFlPyi0EzlkqYwNSbtr3Z+bFaLaOWaPjvMyihwL9iYlAg3CknnU5z6NAheht0sQmqPP300xw7dox0Og3AU089RTKZ5MSJEwBcuHCBS5cu8epXv3rLue985zv56le/yle/+lU3Df1WQwiHYNeIRCKMjIwwMDDA8vIyCwsLGIYRGFsIsxzC9jXqQgrLwqrn+mkHtepea+yG33XnFxl/LKmnp4fx8XERw2iRZ555hnvuucd9/9RTT3HXXXe5nZzHHnuMhx9+eMsMwT//8z/PRz/6Ub74xS9y7NixXa3zbiKEQ7DrqKrK4OAgAwMDLC0tsbi4SLlcdvf7M49qpZ2GpfoGiYv3OL84BE1E6FCem6Nw6RJIEpGuLuKjoyRHRzddr1bP31+noDiLP322lqXh3e8dde8VkL6+Pg4dOiSmPN8mzzzzDK95zWvc90899RT33nuv+/7jH/84P/mTP7npnLe//e38xV/8BV/84heZmJjYtbruBUI4BHuGJEn09/fT39/PysoKCwsLFItFd1/Q8Y5QBKW7hgXNHYJcYP44im3b2JbF6lNPsfx3f4dRKIBpYlsWkqKALKOmUvS+6EV03XcfsqK4dfBmQwUJnl8gGhk74tTR69ZzzpFlGUVR6OvrY3x8XExE2AYsy+K73/0u73rXu9xtFy9edOMVi4uLfO1rX+Mv//Iv3f1ve9vb+NM//VMee+wxuru73SWY0+m06+66lRDpuIJ9RS6XY3V1lWw2i6Zpm/b5G/laLqegXn0jKcAORqXC9T//c0pzc9i6vnmnbWM7Yz5UlfjwMGM//uOosVige6tWHZ36BS3MFHS+V9hkWSYajdLV1UVvby/d3d0iQ6qNnD9/nlOnTnHhwgWOHz8OwI/92I/xhS98gQ9/+MPMzs7y3/7bf+PJJ590z6mVcOCk7h4gGsqcEMIh2LcUCgWy2Sxra2uUSiVgc0Pq7YU30mg3Ih6WYXDtIx+heOMG9sYo+E14hANAUhSSIyOMv/nN7rodzrX9Lij/tCpBbrigOjvHJJNJenp66O7uFrGLPeQHf/AHefDBB/mlX/qlva7KTiDGcQgONqlUilQqxcjICJqmuZZIoVBwpzbxN8ZOz9s/lbhDvTTgtaefpjw3B6aJxOaek10tbPN5hkFpdpa1p5+m6777tghbLXeVPz7jdcN5t2UyGbq7u+np6SGZTLb4JAXt5MEHH3THctyuCItDcOAwDINcLsfKygq5XA7d407yu4BqNdze/d5G/MIHP4ixuoptWSBVV/2TqgdutgSqBbrdMyWT4cTP/mxg3MS7zT8i3CsSlmWhqiqZTIaenh56enqIRCJtfXYCQR2ExSG4NVFVle7ubndUbj6fd/+XSiUqlUrgeiBO4xw03sG2bYrXr6MXClVXlKIgWdYmtxRQtTi8guCUUSxSunGD5NhYYLDeO0Ot17qIRqMkEgk6Ojro6uoSLqh9hmaVWahcY1m/waq+gGmuUzLXMawKXWoPmrmGKsfpiYwRk1Q6okN0RsbpiA4jSbdu3EkIh+DA489cMU3TFRDnb6VSQdM0NE3b4g5y4iTlmRkwTVcYbNu+GdOw7apoOMIDmNzsntmWRenGDRKjo5viHLZto6oqsViMRCJBLBYjHo+TTCZJJBJiCvN9hmmbXC5PcbbwLS4Wn6Vo5rDMZXf/gNJLceO9HTvOauUiAHr8DOvlSQC6ooex9QW6E6foS9zNYPJ5JGMju38zO4j41gpuORRFqZkGaVkWpVKJcrns/jUMA13XkXQdW9M2xTEs20aybQxJQtl4DR5XlSQh2TayrhO3q+tzx2IxYrGYEIcDxHT5Ck/mnuBbub8jpaQp6rPuvn45TdnKAxBVkq5weJE8Xv2YnKRgl1gqPk1Rn+fG8odJRQ8z0PFSBjpfSkTp2Pkb2mHEN1pwWyHLsht099N19iwJw8DUdZzQuuXEJzzjJyTbRgb3P4AUiXB8fJyxkyd34zYEbeKZwrf569WPU7FKrGhXAShYOYaUbvJmdXLOdKSfcqUqHIoUCyzHsjxxNvtmNl5K6aasz1HQrnJj7ZMsLf8FPZ0vZaD7dcQiAzt1WzuOEA6BYIPOiQkkRUHW9ZsL1ThxijpTkEiKQsctPlr4VuJ8+QKfz36Ov8/9jbvtUGSQVX0egExk0BUORUq4x8hScLKCad+c+UA319zXtplzX6cjg2jmCsvrnydb+DqD6Qfp6flhlANogQjhEAg26LzzTqLd3ZRnZ+sf7CPa3U3nnXfuQK0E7aRgFPjT5Y/wN7kvAzCmDrNoVD/vpNLtCkfJqrjnaPbNgai10kwNswCAKiUoG4tIQFTupKxPIwGSFMHQrrvHpyKjZLOfJpf7Cn19/5TOzpe37R53g1s37C8QNIkkSYy/4Q3ITU7bIcdijL/xjWK68n3Od4qT/OqN3+apwtPYG/+iys042JXKVaJUXVE3tOtEqX4P1oybMQ2LgIGmSGjWOlB1aznfgo7osPu6M3YUayNOoipdmOUL1fKsPOtrX2Lm4m9i6Nl23u6OIoRDIPAw/P3fT8fJk0gNjp+QIhE6Tp9m2DMhnmB/Yds2f7n81/zHmT9gRp+nJ3Izw+li5TKj0cMAlO0Sg/GjAJgY9MbGAFg3V4lJ1ZiYbmn4iclp2BCUmHwzdiZ7Yh2yVXRfpyKDQDUmoig9lNcuU8w9xfWzv0wpf7YNd7zzCOEQCDzIqsrdv/VbdE5MIMeCA6HusbEYnWfOcPdv/iayyJzal2iWzvvn/pRnS5exNxxNlyrXOB2/6VbUPWPeVsybvX7LMw6jYyOQXbFLW64R81gtkl1dBEyWolQqVddUIjKMrk0DEFUHMMrnnKNRzE7YcItZVomFc3/M+vyXW77f3UIIh0DgQ00kuPd97+P4295GfHgYOR6vWiCShBSJIMfjxIeHOf62t3Hv7/0eaiJRv1DBrlO2Krx35r/y94VnmCxf5VTslLvvmjZPl9K98Xqaw7HqAk1z+iwD0XEAZrUZpA1RUeWq26pk5rdcJyrf/Pz1jYB6Z3Qcm6p1klA63f0JpdNN3Y1HT6Plr2zskYhKo+iFGRbO/SFrNz653dvfUUQ3SSAIQFZVRl/7Wkb+8T9m/dlnyU1NYZRKqIkEHWfO0HnHHSKmsY8pWxr/ef5jzOo34xNXtEVGIyPc0GcoWWWGY+OsbTT0WbMEG7OTyRsiUbTyHI2Os6hdR7OrrqWSVaADGdsT61A3Mq1UKe4GxiOSigkocgK9fBmAeGQMs1KNbahKL+W1S24Z8dgE5aXJjXc2+YW/x9ag++gPtP/htAEhHAJBCJIkkbnrLjJ33bXXVRE0iGlb/P7c/+Lp4kX61E66FFgzs2i2TsGK0yl3sG7luFS5zun4nZwtP8ucMc8d8dNcKk9xuXyZXrmDopUjIlfdUGvGykbpNnElQ8mTcitTXR42HRnA0K4BEoZWXY+jI3oYozwFQGxDTEBCNtNgVUUtnjhFeWHSLS+ePkV5/jzluXMokRSdYy/fuYfVIsJVJRAIbin+98qXebpYnQpkyVhHldJ0KdU5wNbMHBl1AHWjz3ytMk+X0gPArL6MgoqBQW+0Ghhf3sioyporboA8KvtnJLA2tlf3pyMjGNZGrGTj/GTsKKZ2BXBcVNXBhpHYKOUlj+WxIRrO+KHF5/4/ios3RWW/IIRDIBDcMjyRfYbHVr/JmfjNEfx+8biuzXM8Xo13lOwy3eogAKvmKkc2ts/qVYth2Vggo/YD0BGp/nXiHS4bbix5w55wYhrp6GEMYxGQiFjVAYJeF5WiZjDXC2BVs6/8oqFEM6j0Mvfk+zCKK+wnhHAIBIJbghvaMv/f0hcBmCzPcjx2nDhRYKt4nC1fYyJ+BwCXK9eZ2MiyuqrdIC7FWTVXGYlWV//rUPsAUDeC4LK02cNvbmRF6cYaANbG3+hG7CMdO4mpzwISspECS0OSIshGB5ZWPdYvGpHUGHYB9LUbWJUcc3//AWw7fPaC3UQIh0AgOPBYtsX/XvkmaU+G08XKPBm1n16lC9gqHufK0xyNVcdtXN1wWeWtAqOxqmBoUrWhzlnVUeGaOy5jc1KEYRU2AuMLxJRuNGOWiJKhUrmEhIK8MSliPDqBVrgGQEw9hp6rpuj6RSOeOYW+OIdVvpkabBs62anPteVZtQMhHAKB4MDzmexzfC1/haKlMrExiA9g3shSthUOR0eBzeJhYTGv5+hX+ze5rC5UrpCWO7lSuUJG7WVWmyYmpVgzq+4i0zd6XDNzpDZGjKcj1TLSkREkLNLxk1jGMqraR3mtGneJJ85QXqkO9NssGhLxzjOUp8+BubHCZTRNrOMklesXWP7GRzAKW2fm3QuEcAgEggNNzizzlyv/AEDZNpgqL3EkepjujckDC1aFaS3HRLxqSXjFo2iVkUiQkBJcrlzndPwuKnaFgeg4Njad6gAWFr2xUbLGMjEphWHfnAk3KqewMTZGj4NsVZBQsLQZZCkG2gwgIetVF1UsfszNoPKKhqwmiMWOUr5xMxAe6z4BRYnK7HkAbKPC0jc+suPPsxGEcAgEggPNJ1anOBQdJiXdDFpf0VYoeawPE4up8jwT8ZPIyJvEY8FYYTh6CAmZq5VZupUezpYv0K32cVW7hkoEfcON1BEZoGLdnAk37ggGFooUp6xdoyN2FNPKko4dx7bWN1xUV1EjA2gr1QkVvaKhxvuRjTSVjewqOZom1lm1Mqzyzdl1o13jaPPTVBav7OjzbAQhHAKB4MCybpb5TPYsk+VlTOLcET9MjGpQOsj6mCrPMhY9RFpObhKPS5UbTMTPULYrdCmDmJh0KH0UrALD8WPMatPIKKhynJJ1c/R4VEkC1cB4Z3QcMFFsHUVOY1cuuS4qWU5CycY2S5tEI9ZxFHOtgJFbBDasjJJEZea8e41IxyCxzuNo16+jzV1l5et/tUtPtzZCOAQCwYHlc9nzVDbmhyrbBs+Vl4nKnUzEx5E3mreq9RFhIn4EgGvaElGpk2G1b5N4TJavcip+msvadSbid3G+cpHByAhrZp6yXaI/Oo6GQcnM4QTIVSmKIkWpGAuokkRcHUDXrpKOjmPbFWQ9CZaByiBGaXGTaMQ7J6jMXsHWi8iRFLHOU1Uro1S1MpREN/Hu0+izC1RuXHTvuXDxG+hrc7v3kAMQwiEQCA4klm3z9fwKZ+JjdG30/AFyVoWp8irdah+nYtWgeNnWmSovczR6hG6lgxUzz4ppciJ2eJN4XK7MMxYZ40plli6lB0VOMqPfoD8ygizHyRor2NjE5epYDQWZdGSwOrV6ZYak2kNE6cYsn3ezqOKxU2jZyzdFA4V46jTlG1NVq6P7BJQVKjPVyQ/laJp47xnM5Rzla2dvLiYGRHsPEes5QfZbT+zegw5Asu1aS5MAtdctEQgEgj3lqcICvzn79wDISByNdWLaFa5oi5uOG450kJBtLlWqvfS4FOFIrJOp8hUkYCI+zGT5PH1qJ4adx8JEtkt0qR1c0c5yIjpGSo5S1BcxzVV6pAT9ajedcpyUVF3BQ7UKSPo8KWQ6Y4eQjGWM9XXisaOUF866oiFHOlCtDNrqdeRIikhi1BUMSYkS6zlBZfoytnZzFl4pmiDWcxhjdRVjubrQlJLq4sjPfchd0riNNDQBmxAOgUBwIPnQ/Lf58sZYCC/9aoJeNcK1ygJFTwbU4WgG0y4zvTHx4dFYL6vGMmtmjhOxQa5VrtGpJjDsPCk5xoJ+nePxUfLmKlljli4i9CsdZOQYKUklBSSRSUoSCRRiWKjmGqq+SMweBQO05VniqWOU588TSQ5jrRcxi2vEuo+jLy1ildZBUoj3nUSbm8Eqrrv1jWSGUKJdlG9cBq3iv01G3vzvSB5p+xxqQjgEAsGtiWXb/Or0N4lKkDULzOjrW46JSgpHYx3kzBwz+pq7/Xism5y5zoKRJSFFOLxhfQxHuilbWRQJDDvPQCTDtcpFkjIMqJ0kJZUkkAQSWMRtg7itEbM0UtikUEgpSSJ2FH19FjtvEY0NUZ4/T6zjBJW5K8hyhGhijPLMOUAi1ncSc3kFY32pWjlZJd5/FKtQRpu7vuWepEiMaN8Ykq0SHz1N3z96U7sfrRAOgUBwa3KpnOPfTv+D+z6jRBiOxNFsjWuVVQzfIL2xSJqkApfKCxiYyEicjPcwry+xZhZc68O0dbrUCCWrgGHnGY50UbKyFMxl4hh0yVF65SQZSSVua0StIinbJCPHSABxq4yZK6IaGRTSlOcvEO84TfnG5IaVsYRVyhLrOYpVqKAvzQCgpLqJpIfQ5qaxCrlNdVdSXUS6hrBLGpWZa2BUBwdGBkY5/PO/1+5H25BwiGnVBQLBgWOyvLbpfdbUyZpVt1RUSnMimkTBYkZfI2dpTOt50CEtZxiPJlnQ1zhbXiYiqZyJH+ZaZQ6LCIdjvVwoX+dEvI8lA+b0LD1KjN7IIDIVJKtMxa5gSQrVxZdipJQEMUxiVgVZj6NIXUhIVJauE4sdRVu4SrzzFOXr54hkRlHlLipXL1fP7z+KZMhUpi9hzq+69xPpGUFJZDDXsujzM5jzm+8XQF+4gZlfR0l3btm30wiLQyAQHDj+x+IVrlTyVGydRb1ILmAtcKh2n8eiSdKyzIqRZ97Iu9uPxDqRbJ1L2iIJWeVItIOL5RnGYhlWjCWGIh0s6wvIUpmIpCNLZTKSQkaSyWDTiUQX0GGbpLFJ2hEoAiUTfW0FqaKgyGn0lSVkOYaidFKZvoAcSxHtPoSxtIixVnVRSUqk6oKSY+jzc5jra8E3LklEugdQUhmwFXoe/iGSE/e089EKi0MgENyafKeUZ9rNPIrSpaToVSNEJdBsjSW9SNbSsIHrWtE9r1ftpV+NUrbKXK2sYWHTo/QxGInx9S9/kU+9+VH+zdN/jp6KYxMjpfSg23kUSSMmxbCoYAESMooEKhZRWyaGgV0yoCRh5TUogqpm0JcXiCaGKF8/j5SJEO8/Tfn6JcrLk8iJNPGRU9i6ReXGdSoXL2++SVlG7epHTXUBElaugDY/j351Hp1qdlXl1H3tFo6GEMIhuK149NFHN/0VHDxs22ZeL2/atmbqrJm6Z0uUjJKkzxETS2fJKPKpd/4aVz72GQAkVSEzPMjEa17GiZ/9MTS7OgV7wZJIKl2YtoIEqJKEKmlVV5UkY6BhSRKKJBGxZeKShVIBShYUJaSSilRSIKpgZTWQIRIfQr9+A7trgPjgCaxcHm32OuXFaiouskykdwglmQFbqu5fWMDIzmNsiEQQ+kL4QMAPfehD/M7v/A6zs7PceeedvP/97+clL3lJs498C2IAoOC25j//5//MC17wAmKxGD/1Uz/V8L56+48ePcr09NZUUcH2WTdNjse6OBbrZCSSpFOOBB6XNQ0uVkpMlktc1AyyVpSIHOXIQy/iF775Rd721b/mee/8V3zjf/4VX3vvf6dP7QKgZEVQpQ4UKY1px4nKXcSkHlQ5gyx1YEpRDGQkWyaOTNxSkIoK5FUogFyJIJWqbiuppGCtl1HUTtRoH8b0AuXz57ArBvGx08THJoh0jkFRQb8yR/m5s5Qnp9Cmp0Hb6n6T1AhqVy/R4UPEDp+EjWVrg/iLv/gL3v72t/Nv/+2/5dvf/jYvfvGLec1rXsO1a9e2/RkIi0NwWzMyMsK/+3f/js985jOUSqWG99Xb/9rXvpbHH3+ct771rTta/1uBO++8k+eeey5w37vf/e4t1uG6aTJVdtbGUKiO347ToSikZJm4LBORQMHGwkK3LcqWQd7SMCyLiqow3ZkCUvT/4x/gxN89w/Tnv0Lsh14PwMJz03zqd3+V5bMX6Tt5hNf95i8ydu9RZGKUVyv8r3/3v7j69+corhU4dKiXn/lnL+XHXno/5KsWx9e+dYH/+NEnOHtjARk4PtDD7/6zH2JieBDJiPP3T32H3/3q5/jOwgqZWJRXHhnhl17+vXT19CPHk0iRGJKigA22bmJXKljFEmYuj71WxFhbBqpjUeycTi3e97738VM/9VP8q3/1rwD4wAc+wP/9v/+XP/zDP+S9731vy58XCOEQ3Ob88A//MAD/8A//sMVCCNtXb//rXvc6fvu3f1sIRwN87GMf4/Tp03zqU5/i/vvvx7ZtTpw4wQc+8AHe+MY3bjm+aJlbtllA1jTJmlv3VZGBODYRVCnCcKSHuCwTleByqoNrholpV5vDb/zOf+F7f+kdjIwM8oVHf4u/evt/5O1P/CWKYmKWS4zffRf/6K2PcFcabnzhHL/86F8x+qsZHjxxFLMI/+L3/zdveOB+3v9Dr6aynuO5pSxSUYeSxbmVIv/8sS/yzodfxu8cP8LK6iq/9rm/4Zf/+iv855c/2PSzs0rFwO2apvHNb36TX/zFX9y0/ZFHHuHJJ59s+jp+hHAIBDvAy172Mt70pjeRzWbJZDJ7XZ19zfz8PJIk8ZKXvIR0Os2FCxcoFos89NBDJBKJLcebtk1/DfdUPeKSTAkJw4S8aTH/9NM889gnGHvgAfJG1XP/wp//BY488FJissxDP/dO/sc/+SfkZjW6R4boHurlFf/6HiRznfH5r/HyU/08ef95Pv6ZZ3goc4xctsJ6qczDh45xWOnE7khxsmMIAGN2jT/89BP845Mn+RdnzgBweDDBf3jkVfzAhz/KWiJNXzJZs+5B1ErFXVpawjRNBgcHN20fHBzk85//fLOPbQtCOASCHSASifDwww/z6U9/mje84Q17XZ19zdNPP82xY8dIp6trWzz11FMkk0lOnDgReLxtSSwWWxspUDZsrn35y/zRXfdgmQa2YTDyioe585f+PdmLFwAYOnYXaS1KVJLQM8MA5K+t0ZMYxyxZPPHf/pin/+8nKCzPoBsVdFPngWOnoJSmW4nyo/c9n3/2p3/Bg0eP8uLxw/yjw4cZRsIqlfjOjTmu5nP89dlzN+9nY0jE5fPX6errb/KGGsqebTtCOASCHeKee+7hO9/5jhCOOjzzzDPcc8/NlNKnnnqKu+66C7nGBH6xJif2k23o3Ih/dMgKh1/wQl73nt9EUiLEewfQZYW8YZErV4VD1VWiJQks0DcGcdurFtYCfOVP/4gv/eUf84bX/xovH5rgaNTmtz/5XpZzS9hWD1hlfu91/5x/8fzL/M3Vc3z+3LP8zpe/xB8++GpecvgYtqzwhnuex7968UtB2Wj0bQN0nQFVRS6XsfKFhu9NigZbXn19fSiKwvz85oys+fl5hoaGmnp+QQjhEAh2iM9+9rMi7bcBnnnmGV7zmte475966inuvffemscnlapwqECHrJCSFeKShIqEZINlgW7ZlAyLvGGSNyzWMFnDJKeZVJQo85lhVGDQUuiQFNIoLFvVDCWzYCPFIV82kTfacCtnY6/A5ae+zh1nvo9X3PdPOCpJDJsGlxbn6IwnwOoGu4gkxZjoOc4dgyd464tfw5v/39/jY9NXePhFL+fu8aOcX1lhXIpjLK5umjIdNCxkULtQOlLIqThyPIqkytUQjWli6xpWqYSZz2Pl88jJVOAzikajPP/5z+dzn/scP/qjP+pu/9znPseP/MiPtPIxbUIIh+C2xjAMDMPANE1M06RcLqOqKqqqhu6rd+7q6iqTk5M89NBDe3yH+xvLsvjud7/Lu971LnfbxYsXeeCBB2qe060opEoyBdNiFZNVagXEbxKRYDASYUpRKMoKw2aEhZLODVtHQWc8ESVtV4WjnLMgBZWsjbrhCjJzNsaqTW/mGN996nEuXPx7zGQPH3zyv3N95QZ3Dp8Gs4Nrywt8+OuP8X0Tz2MwmmC6vMjZ5QX+6fNeipzs4KfvepAf/l8f4lf+7yd54x3Pp2u4n0u5FT539hn+w4tfhbG0AoaJubqOubp14sZNyB1EBg/V3P3Od76Tn/iJn+B7v/d7efDBB/mjP/ojZmZmeMtb3lL3edVDCIfgtuY3fuM3eM973uO+//CHP+ymgIbtq3fuJz/5SV796lejKLXz7AVVkSgUCptcVXfffTfve9/7eN7znrfJEnFIqOHPtCoSUdKSjG1CtmKyWNKZtnWyZZOKbrJeMTiejGMbNtezGldyGnKlOjFiKW9BEYycjexkWZckyMPLHvw58kvX+O3/9yeIR+L84PN+lNfd+0NcXDiLbSSI0cml5QV+5q/+E6vFdfqSGV534oW87ZU/gj6/xkmrh7/44Z/lfd/6LG/+zJ9hmhbj6QzfN3oCY7GClOgmMtCNnIyAoWNksxiLyz7LZAPLRunsqPkcfvzHf5zl5WV+4zd+g9nZWe666y4+9alPcfjw4fofTB3EXFWC24rdGjn+oz/6o7zpTW/ih37oh3b0Orcrv/rdac7ny0Q3RCIly1gGrFdMFko6VkDL1R9V6YuoFMoW0+salg1JReJQKsbKusFi3uBUV5yFFZ1MVCG3ZtIfj2CVbChKKBWIajY9ikS3LNFl23Ta0GVDyjaxK3kw8lh6HiVhgGxgLK6g9sawygX02VWix3qRbI3KlRmwQUpGiY71gG2gT89hlcpbKx6PEh3sQk5GwTQw1tZcMen/f95A5pGXtfPRirmqBIK9IplM8sgjj+x1NW5Z7k4mWF+risR1ak9wOJ6IkpJklvIGiysGi1QHDg4nInTKCpeXKkxlyxzPxJBkiauzZY50xrk+V2EgFsUq2RTWLChAwpLojMvYmo2t2OgWmJKEho1ahqgUA9kEy0DPFogOJrHMIlIkjn55ldjJQ5grqxjLOZTeISIDCbTrc1TObUwbIkeIHhlGjssYi8sYy2vV7WUN7erC5puLdRMd7CJ67MiOPN96COEQ3Fa8/OUv35Xr/I//8T925Tq3K4PxCPOlraOm4zKMxWPIlsRMVuNa/qaoqBIcS8cpliymFzVm0TnUEcWuwMXpCke7o+imwsqqQcJUiNgwN6OjViSSKMjYFNcM4lEZOSJjmzaVskkiIWOnFCRbQpIs5LiEsQT6XJHYWD+VS/PEjo+hzy9j5SE+cRhtZoHy5BKoUeKnhjGLOfTpRbQrN5e9VQfHUHsSWLkc2o35ze6qioY2s0zs0MiOPudaCFeVQCA4cCyVdH72q1cB6I4oDEYjVDSb69kKxuY1nOiNKQxEI1xf0chvxDGGUipJW+HSfIW4Ckc640xdK3OsL8bsjMZ4T5TLlysMp6KkVBmrZBM1bToUiUxEIi1BTLeJ5EwSmk0KSNk2EcNAiZdR+2yMxTy2VURJyZjrWSzTJDYao3xuDqIK8eNdVK7MYpeq4hYZzaCkFSqXb2BrxqZ7kDviREa6wNTQrs1iazrxM8cYe/fPtPvRihUABQLBrcv7vznL1RWN2XzAfE02HOuIgQGXlytuZ70nptAXjXB+toxtw5HuKOtrJis5kzMDcaYulTk5FOPCxQonB+OsLRuszhiM9kToS8t0qBIJCRIWxC2bhGGTsCApQSoiEYvYkNfQZtaIjktYuTK2VQTbRE6Z6DfWiZ3oRF9YxlovI6WixA6lqVy4ga1Xs8OkZITYoW6M5WWMxbWt96YqxA710vGy++h6de3ssxZpSDjE7LgCgeBAMhSPbhGNlCpxpjNOr61yaa7CpaWqaKQjMmcycdZXTM7NlIkqMNET5+p1jfWiyameOJMXb4rGqdE4586XUU2JU8fi6BWLmcsVVmY1yusmpl61XOSYjJKSISmjGTb5KzrGikX8VCf6IiDJSHISJAV9wSZ2qp/KhXVsK0Hs1BB2QaM8uYKc7iF+egwkCbuoU55awFg0iB45Quz4GMie9twwqVxaIHn3yV182psRFodAIDiQTK9r/OIXqlOEjyUjJJG5vKShe1Kq4iocTce5PFehrFe3H+6KkstWrYxMQiaNwo0FnVPDVdE4PBDl6kWN04fjXJgsM9ChMD4UQc+ZFGZ10hIM9ap0dSikIhJRE+wVA2XJoGdAJdEro10oonZpSLKFkc2hpGRsq4i5WiZ+poPy1CzYVK2P+WWsXDWbSh1MoaQlKhc3r7OhdCWJDKfQbsxhrReJHR1m/L0/vROPVbiqBALBrc0HvzbHxfkKM+ubLQ9FgpNdcW4saOTKVesgpsLRzjhnr5WxgdGuCPlVi2zedEWjp0OltGKRTsgs3zC442Scq2fL9KcVDo1G0NZNCjd0epMyQyMRkhEJc8WEeZ3eAZV0j4p+oUyyA5Q0aNNrxI5FqVxaQe2JuOIRO55Gu7GEXTaQUhGiI1Eq52+KRXS8EyQd7dripvtClogd7yPz8N10vvy+nXikwlUlEAhube4dTG0RjVNdcboslalrZVc0jnRHSZvVbTZwaiDOwqyxSTSiqoSiSZTKFqopEVEl5q9rHD8WI79uUlg16ehQUFXQitVyDcMmN6+jxCTUXpW1axWQJaSBKNp1g/hEhspFjfhED8ayjiQnUbrjVC7mUTJdqL1J7IJO5XyB2Ikx5I44ANr1dbRrJWLHx4kMdd28OctGv7FO+kV37MbjrYkQDoFAcGB54HCagXR1VMGxTIxhJcK562WW89WsJG8sYzlX3XamP865i2V0w3ZFw7JgtDPK/ILO6UNxbkzrnD4Wo5C3sDWbnl6FlTkdGUh23hy5rperTpn4YIRy3sIs2sSOxsifq6AORihfMFH7o5QnNeKnMpvEw5gvY1YiRI90A1C5kMW2ksRO3pyEsHJxFX3OIH76EEpPdfbgzPfdixyP7vizDUMIh0AgOLAossSP3dPDoViUS9MVZtduWh+HuqJ02DetjLgqcSwTY/JSNZ7gFY0zY3EuXq4w2KdyfqpMplPm2oUKg4Mqs9c0Bvqrs9CW100SyZvCUdmwPJSUTPa6hpqWKa6bYEvYHRHQQY4nQYLyZYvIaHKTeNh5E+2aTnyium6GY33ET960PgDKZ1cwsxKJe47T9drn7/RjrYsQDoFAcKB58bGOTdHYqAITvXGuT2ssr1etjL60SicKl6YrwGbRODUaY3KyjCyDqksYBhwZiaJpNv3dVWvGLFsoMmQXDaLxm2GA8oYV44wdiY1EKczqRMeiFC5oRMZjGy6rTtBtzEIEpTOySTywoDxVID4xDBsz/5bPZ8FOEjvpWYjJtEneeRglvXVxq91GCIdAIDjQyJLEP39JPxLVjKkOW2XqatnVkiO9UYqrFgur1UZ+k3uqP8Lli9UBeBOH49y4oTPQp3L5fJl4HGavVIgnJBaua/QORjB1m4h6UzgMDdSERHGtWraT0WUlq02rITtCYKEOxLDWTOTONFJE2iweQHkqR3SsDzlddUNZeZ3K+SKxk2PI6RiRkQxdP3D3jj7LRhHCIRAIDjxnRhL88H3dXPNYGQATA3GuXdMobgTJvaKRScnklyx03WaoT+XcZNWFNdijYJlw7EicStlmbCyKZUJHpuqikn15R9EOhfyCgRyVyF6vIEUk1i6VUdIypas60WNxMECOJkACfVondqwHYIt4aFeLSNE0keGbs95WzmdBTjP4lpcj1ZkZeLcQwiEQCG4JXvuCboa6q7EIRYbTvXGmLpaxNtxIXtFQ1eoiUNl1E1kGecNFNTYS4cr5qjuruFYdyR2RqkrhNNm2b0oTNSFj25AYjGBWIDEWxTZAHa9aDloRkECbrmZZAZTPVoifqQbF/eJhrmjoyxKxE33uNTpffpz4qc3rh+8lQjgEAsEtQTwq844fHKIvrTASj3L2ys0pyr2iAXCsL870TDWQfvpwnJkb1dedsaoIHDoUZWlOR5ZhabrqyqrkqkJi6ZuHtymxajOqpKp/7VhVaHILejUoPmcQO1mNS5TPm6gDserrKY3Ysapl4RcPNIvKhRLxM0PEJ/rp/fF72E8I4RAIBLcMhwdivPmlfUwv3JwV1y8aZ8ar04kADPWpnN9wUR07HOXa5aq1kd5o/MfGo5SL1cD42sJGHKPkMzk2TBFjQ09yc1URqiybxI5WRaK4bFan5zVAisarw+xsCW1WQh2oisUW8UDCWDQZesdDSMr+aqr3V20EAoFgmzxwVwdveqQXCLA0hmNMbQiFLIOsVV1UAMpGy9/RIXPj0oaAbAS5ewZVzA1Lo5LfvFStY38Us9WCymsm8eGqy8xJDtaXLdfq0KdN12Vllyyw48gbKb5e8ZDTEUZ++YWoXTfTcvcLQjgEAsEtx2sf6uYnHundJBr9XSqz13V3ptyJw3FmNtxVEydizG64qw6PRTE3tGF9sSoGnZ3VtFxZhnJ+s8VhmtUC8/PVADmA3F0VguylCmpP9XV+2kDaSOX1uqyMRYPIYMZtjY1lHSXdyci/fRHRsdpLw+4lQjgEAsEtyQ+8pJsf//6q5ZGMSVCE0oababhf5exzG5aHVB3Y57xe2XA19fWrZJeqwqFsZFKlOpUtM/jpleoGJ0AOUMzetErkjW1mziJydGMMhuOy2miBK5c14qerdVUyEQbfdgfxY13teAw7ghAOgUBwy/KDD3fztjcPMpqJsbhcFQFZBiqSa1XccSrO0kb84tixGOur1R39fTcXSHXcU4nU1iaz4ol5OAHy/A2dSNeG1XFdQ4pUlSd/WUPuqG7Xp03ipzPuueXJCqkXDjD2688jdmR/WhoOQjgEAsEtzUte0MFPvaGPvt6qEJw+FGd2w0UVjdy0MAAUT/hCK2ysuSHD2vzG3FfxrU2mY60AmN4R7ENVS8PIW26Q3CqDOha7ee55E3Ww+j71wm4G33KayMDejwyvhxAOgUBwy3P8aJzfevc4j7ys0x3oB3DmRJz17E0LY+ZqNSieSkksXq9mZvV6AuORyNZZx/WyjbIR23AC5ACadlNFSsWbVknuXAWlZ8OaMUBJJen/6cMM//xx5MT+GOBXDyEcAoHgtiCVVPh/fmKAX/iFYQYGVFJJiZmrN9N2B/tVN3A+MhpzXzuBcXCnktpCdGPG3NyCgbwhLtlrFeSNtN78tEZ0I9PKNiXkvurgwNT3pBl65yEyr+xv233uBmr9QwQCgeDW4XnPS3H33Um+8qV1Hv9fy0DVZTXvERHFs4qg4jUyfEM4HCJJmRLVUeWJkQiFaQ3LgMSRKIULVSvG7lRgtuoW0y0Y+dVxknem2npvu4UQDoFAcNsRiUi88vsyPPiSDr78xDqXJktMfqMAVKcjWZy+KSKVwk21MLXgRVEdywJASd80S0yP6qxdKTP0giS9j3SRvifZtnvZC4RwCASC25ZYXOb7vr8L+zUZzn+3xDe+kmN9UWdm8maqbnb+ZvDcKAebHJJnxlxvgHx9RiMzFqH3gQ76X9JBfCCyMzeyywjhEAgEtz2SJHHq7iSn7k5imjbT58tcerbEyozG7HdLGFo1gO61Prw4WiHJYEckhh/qoGsiTs/dSZKDt4ZYeJFsO9j02iB0p0AgENwOlPMma4s65VWDSt7C0KrrckiWjRqXSXapJLsUUgMRZHVr5tUBoqHKC+EQCAQCgUNDwiHScQUCgUDQFEI4BAKBQNAUQjgEAoFA0BRCOAQCwW3PBz/4Qe655x46Ozvp7OzkgQce4JOf/GRLZb3lLW/hHe94B+9973v5nu/5Hjo7O+nv7+e1r30t3/3ud9tc871BCIdAILjtGRsb47d+67f41re+xT/8wz/wyle+kte//vU888wzTZVj2zaPP/44r3/96/nSl77EW9/6Vp588kmeeOIJVFXlVa96FSsrKzt0F7uHyKoSCASCAHp6enjve9/Lv/7X/5o777yT5557LvC4d7/73Tz66KMAfP3rX+c1r3kN8/PzqOrmYXL5fJ5MJsNjjz3Ga1/72p2ufquIrCqBQCBoFtM0+ehHP0o+n+fFL34xAB/72McA+NSnPsXs7CwzMzMkk0n+5E/+hHe9613uuY899hg/8AM/sEU0AHK5HJZl0d3dvTs3soMI4RAIBALgO9/5Dul0mlgsxlve8hY+9rGPcffddwMwPz+PJEm85CUvYWhoiEKhQLFY5KGHHiKRuLl+xsc//nFe//rXB5b/9re/nfvuu48HHnhgN25nRxFTjggEAgFw+vRpnnrqKbLZLH/5l3/JT/7kT/KlL32Ju+66i6effppjx46RTqcBeOqpp0gmk5w4ccI9/8KFC1y6dIlXv/rVW8p+5zvfyVe/+lW++tWvoigHY82NMIRwCAQCARCNRl0heP7zn883vvENfv/3f58/+ZM/4ZlnnuGee+5xj33qqae46667kOWbTpvHHnuMhx9+mFRq81TpP//zP89HP/pRvvjFL3Ls2LHduZkdRriqBAKBIADLsqhUqmtpPPPMM9x7773uvqeeemrTewh2U7397W/nz//8z3niiSeYmJjY8TrvFkI4BALBbc8v//Iv85WvfIUrV67wne98h1/5lV/hS1/6Em9+85uxLIvvfve7myyOixcvcvjwYff94uIiX/va1zZlS73tbW/jv//3/85HPvIRuru7mZubY25ujnw+v6v3thMI4RAIBLc9c3Nz/NN/+k85ffo0Dz/8MN/4xjf49Kc/zWte8xouXrxIoVDYJBx3330373vf+/j0pz8NwCc+8Qm+53u+h8HBQfeYD33oQ+RyOR5++GGGh4fd/7/7u7+76/fXbsQ4DoFAINgmP/iDP8iDDz7IL/3SL+11VbaLGMchEAgEu8GDDz7IG9/4xr2uxq4hLA6BQCAQOAiLQyAQCATtRwiHQCAQCJpCCIdAIBAImkIIh0AgEAiaQgiHQCAQCJqi3lxVDUXYBQKBQHD7ICwOgUAgEDSFEA6BQCAQNIUQDoFAIBA0hRAOgUAgEDSFEA6BQCAQNIUQDoFAIBA0xf8P3/K8OMN2fGwAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit.visualization import plot_state_qsphere\n",
"plot_state_qsphere(qi.Statevector.from_instruction(amplitude_oracle_circuit))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.197x204.68 with 1 Axes>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compl_amplitude_oracle_circuit = QuantumCircuit(3)\n",
"compl_amplitude_oracle_circuit.h([0, 1])\n",
"compl_amplitude_oracle_circuit.x(2)\n",
"compl_amplitude_oracle_circuit.append(u_and, [0, 1, 2])\n",
"compl_amplitude_oracle_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(compl_amplitude_oracle_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Phase oracles are circuits computing $|x\\rangle\\rightarrow(-1)^{f(x)}|x\\rangle$."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"phase_u_and = qi.Operator(np.array([\n",
" [1, 0, 0, 0],\n",
" [0, 1, 0, 0],\n",
" [0, 0, 1, 0],\n",
" [0, 0, 0, -1]\n",
"]))\n",
"phase_oracle_circuit = QuantumCircuit(2)\n",
"phase_oracle_circuit.h([0, 1])\n",
"phase_oracle_circuit.append(phase_u_and, [0, 1])\n",
"phase_oracle_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(phase_oracle_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Hadamard Operator\n",
"Change the basis from $Z$ to $X$. It can be seen as a mapping between $Z$ computational basis and different kind of phase distributions."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 206.852x144.48 with 1 Axes>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hadamard_circuit_00 = QuantumCircuit(2)\n",
"hadamard_circuit_00.barrier()\n",
"hadamard_circuit_00.h([0, 1])\n",
"hadamard_circuit_00.draw()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(hadamard_circuit_00))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hadamard_circuit_01 = QuantumCircuit(2)\n",
"hadamard_circuit_01.x(0)\n",
"hadamard_circuit_01.barrier()\n",
"hadamard_circuit_01.h([0, 1])\n",
"hadamard_circuit_01.draw()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(hadamard_circuit_01))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hadamard_circuit_10 = QuantumCircuit(2)\n",
"hadamard_circuit_10.x(1)\n",
"hadamard_circuit_10.barrier()\n",
"hadamard_circuit_10.h([0, 1])\n",
"hadamard_circuit_10.draw()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(hadamard_circuit_10))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hadamard_circuit_11 = QuantumCircuit(2)\n",
"hadamard_circuit_11.x([0,1])\n",
"hadamard_circuit_11.barrier()\n",
"hadamard_circuit_11.h([0, 1])\n",
"hadamard_circuit_11.draw()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(hadamard_circuit_11))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each distribution of phases is a basis in $X$. Measuring in $X$ consists in applying the inverse of the basis and then measuring. Turns out $H$ is its own inverse."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAGKCAYAAAAblaZqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAB0WUlEQVR4nO39eZgk2V3fC38iIvfM2tfururqru6urp7pGQ0jCRjNjCQzSLKsKySwMRICG18/YBn5WiB4QeYBJNtcj1ksuC8gMO/L1eWFKwnMw4wASWDhkYx0hZAEGo1Gve9d+16VmZVbLO8fWZEVFRWRGZmVWZVV/fv0U09nxnLiRGTm+Z7fcs5RLMtCEARBEIKiHnQFBEEQhMOFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1EWoxn5JuRIEQXhwUIIcJBaHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINSFCIcgCIJQFyIcgiAIQl2IcAiCIAh1IcIhCIIg1IUIhyAIglAXIhyCIAhCXYhwCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdRE66AoIQrthGMaOP13XsSwLVVUrf+FwGE3T0DTtoKsrCPuOCIfwQKDrOrlcjlwuR6lUolQqYRhGZZ9pmliWVfkfQFVVDMNAUZRd5dnHqqpa2R+JRFBVtXJuKBQiHA6TSCSIx+NEo9F9ultBaC2K/SPxoepOQWhHdF1nc3OTfD5fEYpisYiiKFiWVfnffq0oSlWBcOM83+8453VsQqEQ0WiUeDxOIpEgFosRj8ebeOeCsGd2/wi8DhLhEA4zpVKpIhL5fJ5CoVARAac4uBt5p4g4MU3T93j7te22cuO0QuxzTNOs7HeWYaNp2g4xsQVFEA4IEQ7h6GGaJhsbG2xsbFAoFCgWizsacS+hcFLj++55jPu9l8VRz3WcQmQLlV2uLTyxWIze3l66u7sJh8M16ywITUKEQzga2GKRyWTY3Nzc0Yt3Uk00guxzvq/2u3BaEvZxzvOdVou73Gr1cVtC9v+JRIKenh56enoIhSQsKbQUEQ7h8GKaJul0uiIWuq5X4hHVYgtO3A23s3fvd0wta8O9PajAVCvDr97O/fb7jo4Oenp66OrqEhERWoEIh3C4ME2TbDbL+vo6uVyukuFkN5p2w+/ulQO+r93xCfd+J0G2VSvDbX34xViCXNcuxyl2biFJpVL09vbS2dkpIiI0CxEOof2xLIt0Ok06nSabze5obO397sbaLQxBruG1rZqlEaTsINd2HreX8qrtU1W1Yon09vYGqpMg+CDCIbQvdtxiZWUFXdd3bIfdvW03Xumw7mNruYpqHRu0oa9lUTiPbVTo7O3VnotlWUSjUYaHh+nv7695HUHwQIRDaD/8BAOopLk6x1R4uXqCxCrsbbWOcR4XtFF3u47cVpITL+uo1nXscSW16uF3rmmaxGIxERChEUQ4hPbBNE3W19dZXV3FMIzA8YRa2U5evf16LI1q127lOUGP3WvwPRaLMTQ0RH9/v6/1JggORDiEg6eWYARJS7XLCUrQ2EOtc+qNSdQT82j2sbWyv0RAhICIcAgHh2marK2tsba2tsMl5RX4dlsVXllEbvyyqbwExl2m+7XfOUHwc6E5r1Mt0O91rPsYLyvFK13XObbE+Uyd+0RAhBqIcAj7jy0YtoXhxi/A67Yyqrl06h0ZXkuAgsRHqp2/l/PqsY5qWR+maaJp2q55t5zP277XWCzG4OAg/f39ntOnCA8sIhzC/pJOp1lYWKg0XH7ZP36i4aQed47znHq2V9sf5NqNZGJ5HVPvOUGC636uPbcox+NxxsbG6OjoqFkH4YFAhEPYH3RdZ2Fhgc3NzapuFa+er18jWm9PvJ7ttY7by7WrpRA7cTfu9V7TPRljtbRl+3+/560oCoODg4yOjor1IYhwCK0nk8nssjLAuyHzCoD7HeNnBfidE8RqCBI7gd2ximoEES2/6UPc1wyKfb+NCqMTd/zj9OnTYn082IhwCK1D13WWlpZIp9PA7obSyV4buFoNn9+YBz+hqVX2XiyORlxsNn5rglS7bhDBqZW26xb84eFhTpw4IdbHg4kIh9AaMpkMi4uLlQbba80JmyDxDHu7F0Gsg73QCjdXo8IBjaUd1zrHK6vL6xjn/kQiwenTp0kmk4HrIxwJRDiE5uK2MmBnWqybehrfaimzdvl+aap+ZQa9dj3nVnM5NRqf8RqJHvRc5+sgQXNnfKRWuYqicOzYMY4fPy7Wx4ODCIfQPLLZLPPz85XerZ+V4Q6A29v2mknktW8vPftqZew1RfagXF1BhcN5vJ9b0XlcMpnk1KlTYn08GIhwCHvHMIxdsQznd8a9+l4jjW4jMZG9uqicU7Z71avesvZyvleGVdAy/KyeWtS6hqqqO56RpmkMDQ0xMjISqHzh0CLCIeyNYrHI7OwsxWIR8J8XysarMfcbrLcXN1O7WBs2exl57nV8vfe3F/GodrzbtWVZFqlUinPnzhGNRgPXTzhUiHAIjZPP55mdnfUczOfVU9/rpIK1trvZq8VRrYy9WhyNlOF1zl7uMYj4OgXHL+5hZ605y4tGo5w/f15cV0cTEQ6hMbLZLHNzc74xiiCjvGsFzf16+25R8gqaN0M0qvXqD0I46nFXuQdQeiUSuFdPdJ7nvEYti9F5nnN/KBTi3LlzdHd313WfQtsjwiHUz/r6OktLS5X31QTD3t+MhtYuK8i4Cy/rxy9eUqssr9fVtnkd0ywB8qrTXlxWjViBta7nLFNVVcbHxxkYGKjrOkJbI8Ih1Mfy8jJra2uejYdfg1xrNlr39r3EJmqdX29guBl1rCYae7U6oP5xHc1wIQaJeTi3jYyMSND86CDCIQTDNE0WFxdJp9O+U20EdU/VGh+w16B2rYWLalErIOxVx1rzQAUtJwhez7SRQHuQQX9O3JMfVhMP5/TtNkNDQ5w+fVqmaj/8iHAItTFNk9nZWfL5fGVbkIbTPT2Gl2i4fe5+VMu8cjaAexWNIMc3Gj/xKq+WNeY1SaGXNeSXreYsz3mO12j9ZrkTnfV2l9vb28uZM2cIhUJ1XUtoK0Q4hOrous709DSlUsm30Qnq+giSxdPIeUGuXW85terTDEuh2WXtNSGgnnmwwHt0vl8syVm3jo4Ozp8/Tzgc3lN9hQNDhEPwp1AoMDMzs6NBcboqFEXxtCC8BrsFaZCCZlH5UavhbEeLo52Eo1GXVyP1j8fjnD9/nlgsVve5woEjwiF4UygUmJqaAvznffJqzO0Uz3rxGiPQTNdJsxrnWtept7xGG2u/7a2MD1WrT9A1Rpz1C4fDnD9/XqZoP3wEEg6ZuewBQ9d15ubmAHa4p2y8LA2oL2jsZq8B0702mG6aMQ6kVfg9/0aeofscv1hSrTJUVQ0cYIfy51UsFrl8+TLZbLau6wmHAxGOBwjTND3dU/Z8U9VSbhsd5ObXE6+HZqTgOmkkS6oRmp1hVO8MtV5Cr2laQ+c6xcMdGPcKlAOUSiWuXr1KoVCoq95C+yPC8YBgmiZzc3Poul7Z5g58euGMd7iD5s5t7v/d5fulwTa7sW43GhGPZj2ToALpbPi9BMHGy/KoVldFUcjn81y5cmXH9044/EiM4wFhYWGBTCZTeR80ML0X33ojixL5rbvhTs11z59Vz3WakeHlxi9ryXk9v6lbvDKXvOpkzxtVD850XSdBPxuv+vg9J+f9u59HT08Pk5OTMs6j/ZEYh1BmZWVll2hAbZ93K0SjWqPjtFrco5SrpQjXQ7VzW1GunwVmv6/Wg/faV6+7yi9mErQcr85FEOHVNG3H+9XVVW7duhXomkL7I8JxxEmn06yurlbeNxrgts/dqxul3rEEQRt6Pz+7vc+mFYHxIMkF1QTEb1uzaMQy86NWnMQtHk7m5+eZnp5uSj2Eg0VcVUeYzc3NSgaVTdAGql6R8BpNXG1m1mrXdWd7NbOhbYWFVeu8vaT4OkeFO5+N7Qpy7vPLfnJPJ+IepR7knu2FnZx1qxXf8DpOURTOnTtHf39/gCcgHACBehgyN8ARpVAo7BKNWrj94X4+e79z3a8bDYT7nV9vOX7n7refvZE0WPs8r//dz8f+P6h7MEjMwu0atIXKWRfn9fzG6njV+caNG0QiETo7O/1vXmhrxFV1BNF1ndnZ2cp7u3Hw6sH7ZdI4/+x03FqNn/MaXvvqYb9jEdB+GV7V4ibNdD35WXTu740tFs70bMMwdqxD72XFuOtrmiZXr15lc3OzKfcg7D8iHEcMwzCYm5vzXQfbKR5BG8q9NlQHmZK6H7TKggniCqoHv9hL0EC5V0aXM47hF3Ny/wGVAYL2ssTC4UKE44ixvLxc9ccYJP222TQaN2hmeUL1jLYgNNKBcLo93dPbFAoFLl++3NYj+QVvRDiOEJubm2QymR0/8Gruo1rUY5X4XafR3vhBiMNertkq11q1MpvprtpLem6tc51xEWearmmaZDIZ7t6920CthYNEhOOIYC/G5EW1Ed/uMtznBW2cWhHIbja1rJjDNjitnepri4fXM3bHPtxZXjMzM6TT6X2tr7A3RDiOCCsrK56LK7ldBU68phEJglfWU63MnHoQN9X+42d1+GXWeY16d+53/9X6nl2/fl1cVocIEY4jQC6XY2Njw1c0alFvuqg7PdR+7U7XrDf91n59GMWhlQFyZ0abuzNQrR5er70afHfjXqtDEOR6btyi4BQpy7LI5XLcv3+/6rWE9kGE45Dj56Jyp0NWw904NBoAbfR85/Gqqu4QIfdfvdRKv601ZqTZNPJsvNxAdt3dVoJfo+9nJbrfB33OfhZmPVOiuFN0p6amdkyNI7QvIhyHnJWVFXRd9xx8BcEaqkYH6jV6fKNlNbtxdzaS1QQrCO7n7RdADnJ/XuMgmk21MSKtwstl5X5u4rI6HMiUI4eYXC7H7OzsLheVe+6kangFxOtpoL1EJ4hoOY8J4qpqhmjUWkVwr9eoJQp7aRCrWXVB6u7XsXAHq4OWV6uute7V6RZzi+TIyAhjY2MNX1/YEzLlyFGmWhYVBMsScv9g3VkvQURkrxZCPdbOYcx8ahZ7HX9T7Tn7ZUI1M+XXiXNOLS/Rmp6epq+vj1Qq1fRrC81BXFWHFL8sKnt0rztQ7RUcrccfftC0qhFrFu30rIJQ63k6XWuN/LnFwfnn/n55xWnEZdXeiHAcQvL5PBsbG8BOAfBzUXkFgZvRCO9nY9nuDfNBilorRLWe8rzSvJ0Wq3N+K/e8Z17fR9M02dzcZGpqqgl3IrQCEY5DhmmaLCws7PhxuoOMQX70zejNSY+wfThI4Wokw8rLwnUOFDQMg6mpKbLZbPMrLOwZEY5DRjqdrqzf7LYq9hu/wWGNsp8ZVc2mVsO9V6vgIIShGdespwx7wkT7WZmmybVr1/ZcB6H5iHAcIizLYn193dMNFWTa82bXJci2esqrNiX7XhuxVj+bw1p+tefaDOEIanV4XdOyLDKZTNUkEOFgEOE4RGQyGc+prZ0uK2d2lB/t6KY66OB3u1s0tWhlBlRQ/J5h0EkQ7dfOIDsgI8rbEBGOQ8Tq6mrVBs4ri8rvOL+BakHxGxfQKIe94W6H+jfyWTaz3nYmVbUxJ17X95oE0Uk2m2Vpaalp9RT2jgjHISGdTu9Kv3VS7whnr/d+8w65haaWi6HZtEOjXIsg99+O6cRBXFXVYmnO7CivNcn9xCBonexz7927F/h8ofWIcBwSvKyNekcje43SdU+t4ffafu/nBnM2Dl4CVGubX32rNUZe26rVr5U0MtjRTZBGvNbAvaDlBWnU3dfyeuZB6lGrLrWON02TbDbL8vJyXWUIrUOE4xCQzWY956OC+vPtW52JVW3Qod82d12cDZpbcLzmlFJVtbLd+dpZtlsgndRy/3kJrNc+d/3d5dv18ruGl6h71bFaIx708/Wre7vgVSeJdbQPMuXIIWBlZcUzplBvw+9ufOptMPyu2YyGx89l5n7v1SDX6oUriuKZVOB3/SDbvfZVe+/MfgtyjaDP2eu5eYmIvd3r2bqP9/qe+Lko66HeMpzHW5ZFOp1mdXWVnp6ePdVD2DsiHG1ONpulVCpVdSc0IgCNHuslHs2wXKrFbh70wHs1armjam1zvvdze9rzVlUTd+f30H7tFSS3ywqC1zXv3bsnwtEGiKuqzVlbW6va0wwaLPeLBdT68ypjPzlKjf5+uYSa/cyquRO93GbOY90Nv1dqbtD6mqbJxsYGa2trDd2H0DxEONqYXC5HsVjcsS1oQLxaz7JRv/ZB+MKPknDslaBB6FZ9TvWM6bDxcjP6iY57EKvfvUiG1cEjwtHG1Bq30Q60WkzaMXC7F/Z6P63IYApKoynfQcvwSzJwWy/r6+usr68HqovQGkQ42pR8Pk8ulwN2/4DsbY3S6LlBg7j1ctCTJba7ODtp1XiRZroha12/HsvFzpKz62YYBpZlSYbVASPC0abUWnu5nsZhr9lUXuVU29aMcptVdhCa1UM/zNaRX/yhVfh9tl6dCK8xQCsrK7I++QEiwtGmZLPZpo25aFaPvlWpuAfd4DZLoNrFcmnl82zW523PhBu0fK9xP/Pz83uui9AYIhxtSD6f3zXuwPmDqVcIvHps7UI71Gc/LY52uN+9ELT+e5mt2a+DYn/3bXeVzF91cIhwtCHpdLrqfj+XwmFslNqhl94OdWg2B5015zdKvtZ1g6SF20H0fD5f87citAYRjjbEDop7Uc9IZnubV069+5xawdFWNa770WgfRWGoRSMiENSSrTZGyL3dud++hv3aDno7Z8d1n+vEy721sLAQqM5CcxHhaDPy+XxlhT83jQS2nSN1/eZJsv/3ahC8ru2eCqLaALB2oJ3qsleaaRV49eSDXq/WIFGv70E9399ax9nlirvqYJApR9qMZmeK7KWh8Rox7BYhv/iJ1/QT7v12A+OeLylIaqjzePc2L5GrJoruGXjd5frhNa2Gu+5e91atHPdzc2Nvt+tsC75pmqiqWukouOeXcj8bv8F17jpWy3ir9YzsOrUK2121sbFBZ2dny64j7EaEo83Y3Nw86CoE7hl6CYv7fD9rx89FVu9YlVqZXn734iViXvWs99peZVQTLff7oI2287XTDeTc7xcfqFZvv+fg7gAEeU52nKPa52iLnRunAPrV0f5/cXFRhGOfEVdVG5HP5ymVSp77GnG3uH9g1X7szkYmiJvAz1UR5PwgHCX3kpN2SGCo5n6y/zdNc8efOxbhzHLy+p7VspyC1NHrPKcFI+6qg0OEo43IZDI1f9Re+PXq3T25WmUEvXbQHqfgzX49u1ZmVnmNq7D/d4oNsENw7P02zuwrd1l+rjp3PWx3lbB/iHC0EdXcVLWsBef/7nOkkReC0mxLr1pMx23FuK0XryQRRfEe4b64uNjUegvVEeFoE9xuKre53040qz7tdl/C/giHm2qjxd1uUXd5ttiIu2p/EeFoE2w3lVMs9vIjrhYgbbSsZiOWUGO0y3MLkjHVqtH0zu+kqqrirtpnRDjahHw+DzR/IsFmxCO8RvY2g/2wOBrNzGqE/WrQg9a3VkaT3znNphVluoPklmXJYMB9RISjTfDLpmqUVjbuzWoI9qOhbVWP14v9cr3VU9+9Lr7UrHrUot56eqXprq6uNq0+QnVEONqAYrFYdbqHen+gzbQKWkmQcQoHWY9WsdcGt9X1bbagt6q+7qytzc3NA1/b5UFBhKMNKBQKgbKmgnLY02VbOa1GK2nHNNu9xg+aUf5ejnGn5jpHxLtnGbAsSyY93CdEONqAQqHgu6/WyOfDLBD70agfRVdVO1kcQY6tJybj9b12i4N79LrztQjH/iDC0QYUi8W6z/Ebu+F3nN/7oNexX7dLQPswX2+vtLqz0KqUXL8Bfc79Xt/regbFyqqA+4MIRxtQTTj2MtUI1J43qdp1vHLnG220gubzu3uRXvV3zzPl3u+8pnsCw1aKhF/5Xg2n1324/7y2O9ffbjXNSAcH/znN7H2Njlfymn5EhGN/kEkODxhd15saGHdSzzxBzXTXuHuOfmmhzvtWFMVz3iOv8ut575xEL8gUFnuh2kA257Xsew1SD6/7c7pr3KLktT1oZpxfmV77a31fGvk+qaq6a+XLanjdlx0g38/10x9ERDgOGHv8RjNxNizObe4erl9jZc9M2qibyqu3WashcTd0Xo2XV4NVjzj6lemuaz1lubf5PSO/a9aD12daz2t3WX7bq9XP3SGo95k1OwnExjmtfDabpaOjo66yhPoQ4ThgmuWmCtLTDNKg2Of6ldFMqpVfLSGg1jYnXg2hWyyCxotq0erYQ6Pl1/s5Bj0+6PfJWWaQz8t9TDULwqvcdDotwtFiRDgOmEYyqtzHuF8flmDvYannYaddnnMQQfKKX1UTHa/OkmRWtR4RjgPGz+JohmtDCO4iO8o0YjnWGx9r5nP06gA5kwL8kiPs/dlstml1EbwR4ThAdF33DQYeNuvhsNJqd9xh5aDGB/l9HtViOO66inC0Hkk9OEBsN1WtH0o70G71EYLTrrGXZl3DuXCUoigYhiHi0WJEOA4Q29o4zKO/m02zBaodBe8wWDl7zTDbj+vaxztTkW3xkDhHaxHhOECqzYi71/Ebh5X9FtFW+OaD0O6fbyuysFqF1/QkuVzuwOrzICDCcYBU+7HtZZZPsWCONgftGmrG8a3EsryXnRWahwjHAVJt9HA7/RBbQb0D0xqlFSOc96OsB5lGMuGcI+oBEY4WI8JxgLiFo9bI7qPUMO3XvVQbHW83NLquY1kWhmFUGpxSqVQ5plgsVo6zj3XuL5VKO863X7sbs6NMrc+zHgs6yOhyv2drnyvC0VpEOA6QavPy+E2vUYt2a6TsBtc0TQzDIJPJYFkW2Wy2MiHd3NwcxWKRfD7P3bt3sSyL2dlZFhYWMAyDy5cvk8vl2NjY4NKlSyiKwvXr15mZmaFUKnH58mU2NzdZWlri8uXLKIrC5cuXmZqaIpfLceXKFXK5HFNTU1y+fBmAq1evMjc3Ry6X4/r16xSLRaanp7l+/ToAN27cYHl5mc3NTW7evImu69y/f3/H/o2NDdLpNDdu3MA0TW7cuFF5fe3aNdbX11lbW+PKlStYlsXly5e5fv06pVKJS5cukU6nWV1drdTpypUrTE1NVfbncjlWVlYq+2/dusXS0hKlUombN29SKpVIp9PMzs4CsLi4SC6XwzAMVldXMU2z8lxhWwxbwV4tO7+BrPafcx6zIIhwtBalxofRXq3QEWNqasp3AGCjPVX7R2ZTbWI/98R4XuUoikImk0HTNEKhEIuLiwwMDJDJZEin04yOjnLlyhWGh4eJRCLcvXuXs2fPMjU1RaFQ4MKFC1y6dInh4WHC4TD3799nYmKC2dlZisUiJ0+e5OrVq5w8eRJVVZmenubUqVOsrq6iKArd3d0sLCzQ29sLlGc/7e3tJZPJEAqFiEQi5HI54vF4RaSi0SilUglN01AUBV3XK1NW+N1nM/CavND5vJ3PvVgsomlaxaKJxWLk83lUVSUcDpNOp0kmk5RKJXK5HD09PSwtLRGPx4lEIszNzTE8PLzjc7hx4wb9/f3EYjHu3LnDmTNnWFhYIJ1OMzk5yTe/+U0GBgaIRqNMT09z9uxZpqenKZVKnDlzhitXrjA6OoqqqszOznLq1CnW19dRVZXOzs5Knfyepd0R8hqo5/U8/PD6TGoJj31tu26pVIpXv/rVVc8RPAnkChDhOEDu3bvn2zNqVDic+ezu8qDc8MbjcXRdZ2lpiZGREe7cuUMsFqO3t5cbN24wNjZGOp1meXm50vD39PTQ29vLzZs3GR8fJ5/Pk8lkOH78OCsrKySTScLhMLlcjkQiUbmepmm+dfWyuFphMVUThv0QDr86NXqvjXYonAKm6zqhUIhCoYBpmsTjcRYXF+nq6sI0Tebm5jh58iSzs7MoisLQ0FBF4IvFIvPz85XvRkdHR2X/6dOnMU2TdDrN0NAQm5ubhMNhwuFwXfV1fzdqua/s524LRywW44knnqjrmgIgwtH+3Llzx7ehqUc4TNNE13XC4TAzMzN0dXUBcPfuXSYmJrh+/TqWZTExMcG1a9cYHR0Fyi6iM2fOsLa2RjgcJpFIkM/niUajlR+gXb9G0jOr/e/XcHr1zt376o2P7Jdw2OUFIahwuJ+b13bY/czd26rNUOD3XKvVzy43l8uhaRqapjE3N0dfXx+bm5ssLy9z5swZLl26RF9fHx0dHdy5c4ezZ8+ytrZGJpPh9OnTzM3N0d3dTTQaxTAMQqHyZBb1CIfzePt7Gw6Heeqpp6qeI3giwtHu3Lp1y3efWzjsH+ri4iKJRAJN07h9+zZnzpxhbm6OTCbDhQsXuHr1KsePHycSibCxsUFvb2/l3EbWKHC7H5pJNbdOLdwZaF5BUntbLeHYj7Ec7u1O/301ga33OtWOr1cg671GrZidbeXkcjkKhQLd3d1cv36d48ePA1TcmNPT05imyejoKPPz8/T19REKhao+D/vatvtPVVVe97rX1VV/ARDhaG9M0+TOnTu++0zT5N69ewwNDZHJZFhaWuLChQvcunWL7u5uOjs7yWQydHZ27loJrVkNobOxaTfhqIdaiwM10+IIWtZeP6d6z23ENdZs4QgaIN/c3ETXdeLxONevX+fUqVNkMhmWl5c5f/48c3NzJJPJytTpTgvW+Vt43eteJws61U8g4ZBJDg8I99w6y8vL9PX1VTJ4JiYmME0TTdPo6+ujr68PgPHx8UoZ3d3du8ptRcO7X5la7ZYRVi/tXP96R3c3+16CuBftY5LJZEWEJicngXLMoqurq5LsAJDL5bh79y5nzpyhUCigqiqJRKJSnq7rRCKRpt6HUEaE44AwDIP19XVM0ySRSLC0tERPTw/j4+OVXpJTJILSzOkf9mtBp8PAyspKJaPMzvBys1/P6UH9LGwRsGN0lmVx+vTpSmzPMAzGxsZYXl6mv7+fYrEowtEiRDgOADu/Pp1OEw6H6enp4cKFC7uOe9AaiHYVqJWVFT7/+c9XVqJ7+umnfcVjP3Cuo/6g4LeIUywWA2BsbKzyu1peXqarq0vGcrQQcQAeAF/72te4dOkSIyMjDA0NHXR1atKqxvyw9M4XFxcrDbVpmiwuLu65zL3QjuLabBqdWSAajTI5OUk+n+erX/1qk2sl2IjFcQCcPn0ay7JYWFhoa1PandbZbBoZGb/XazRCX1cXKmBS7u0PDAzsucwHjVZbk+7PeX19vZLaKzQfsTgOADtF9ubNm+Tz+cpcR+3GUZgbK8go5VqEFxYYvXOHk+FwVTfVfj2vRq5zUOtrtLJMr/Knp6e5ffs2J06ckAGALUQk+YBIJBKcO3cOTdO4du0aiqJw9uxZFhYW6OvrIxKJHLiY7Pf1W9ErbUZjbhoG8c1NuhXlQGMbe6GRAZz1Uu28euMy7rK8yrbn4FIUhRs3bnDy5MlK5pWqqkSj0brvQQiGWBwHhKqqFVN6YmKCM2fOYBgGKysr6LrOzMwMly5dAmB5edl3Tis3R8FKOEg8x1dYVqABTbXGizhp94Wcms1e65zNZivzdl26dAnTNLl79y5zc3OEw2FOnjxJPB4nlUqRTCYB2toNfNgRi+OAcM/hpKoqqqpWsqv6+/tJJpNYlsXc3FxlxO309DQTExMsLy+jqir9/f1ks1kSiQSqqja1Udlvv/ReM4XcU244t7uv53dffg16kGa+0Wwnv8FxtUaOe8WI7MFw7qlH9oNq35da3yPnDAVzc3MMDg6yvLxcmS/t7t27DA0NkUwmK2Oazp8/Xzk/lUrtevYS42gd8mQPiFo/5nA4XPniP/zww0D5RxUOh9E0DVVVK4MH7969y8mTJykUCszNzXHhwgXu379PMpmku7ub1dVVuru7K9esNvFgo/ey14n37Pd7xauMao3yQfXe3W6YWsc4sZ93kLm+7NfO6U3sbe6Ohnu25GaMNLe32W6laDTK/fv3GR4eJp/PMzMzw+TkJNeuXSOVSjE8PMzm5iamadLZ2VmxHpzp6kEyEe3fiNAaRDgOCHvunXp6aIqiVEbGOjN7bGGJx+PE43Gg/AMNh8OUSiXm5+dJpVIsLS2xsbFRmdV0cHCQVCpVGX27ublJqVSir6+PdDpNPB5vybxJfrTrOI52o1lTlfitQFltll97YkN7ttuVlRUGBgZYWVkhl8sxPDzM5cuXGRkZwTRNZmdnK9OEKIrC6OhoxbqIx+OcOHEC2CkM9qwJjYx0t7+rze4cCTsRST5Aqn25G3EvhEKhypTmg4ODdHR0EI1Geeihh4hGo5w4cYLJyUksy2JsbIyuri40TSOVSqEoCvl8nmw2i2ma3L9/n2w2Szqd5tKlS+i6zvXr1ysLFV26dIlsNks2m+XGjRtYlsXS0lJlNPzy8nJlxbzNzU2Ayqp4e7lHoT6c1obd689kMpUFn+bm5tB1nY2NDe7duweUF6laWVmhWCxy+fJlSqUS9+/fryxIdefOHdbW1iiVSiwtLVXWO7HF5NixYyQSCTo7O5mYmEBRFE6fPs3p06cJhUKcOXOGaDRKJBKhs7Ozqd8Du6x6p3EX6kOE4wBpdoDUzz3h/LNJJBKEQiFCoRDHjx+vjE8YHR1FURQuXLhAZ2cnXV1dPPTQQ6iqytjYWGW6h8HBQcLhMKqqVjLACoUC+Xy+0iAVCgXW1tYqkzlevXqVu3fvks/nKyvczc/PV1a4++Y3v8nS0hKFQoFLly5VRgHfu3cPy7K4e/cu6XSaYrHIvXv3MAyDjY0NlpeXAVhYWKBQKKDrOsvLy1iWVRE3y7LY2NhA1/UdKxHm8/nK0rC2i8Q0TXK5HADFYhF9Kzhe3Jr00TCMSiNsp1ObplkR3VKpVBHLTCZDsVjEMAzW1tYqZa+vrwOwtLRUKWN2drZy3OLiIpZlcfv2bTY3N8nlcly7dg3DMJiZmWFqagrTNLl8+TKZTIaNjQ0uX76MZVlcuXKFGzduVFZHzGQyrK6ucvv2bQBmZmZYW1vDsixWV1crDb/t2unu7iYWixEKhRgdHUXTNE6cOFGJKUxOTtLX10csFuPChQuEQiG6u7vp7++vnG8vouV0F9nP1rlsr9PKsf/sY+v9PTi/3yIcrUVcVQdINR+s2/R2b3e/dm5rVVqr88doByjD4XBFTOzpsQEeeughoCxQfX19WJZVcUdYllVJRbbXaoDyHESRSARN0+jv76/0Yu1pJeyGyLK21wG3p+ju7e1lcXGReDyOpmnMz8/T3d1dWWr11KlTTE1NMTo6imVZTE1NMTk5yd27dyv3cPfuXUZHRymVSpVY0c2bNyGTwVAU5nWdvq1GfGlpicnJSW7fvk1nZyf9/f3cvXuXsbGxipg99NBD3Lt3j/7+fjo6OpiZmSEej1eWlO3o6GBhYaGykuHq6mpljiX7/uzPUVXVynNIJBKVAPjg4GBlu/05nD17FihbtBcuXKh8H+xJMScmJiqfk9NFlEqlgHJiht1w29v2SrXvo1+8xp7ixX2sbwKDY7u4qlqLTKt+gMzMzFR6pm7qWU3OjWU1d3GivaxWF6RsG78GpBnXqBaArvWs1r72NeY+/Wm6H3uM4X/0j6oeG7T+e/mMGk1EqOd6jVzD73vSSEdG1/Udk2w66+W0TOz39vH29uHh4UrnRaiLQG4QcVUdILV6RY26spodO5CAdXvR6thQo593vSnO1XCe4/Xa2cnwskLEVdVaRDgOEGcPqVm0otfeqoZqvwSpHYPwzcqM2o/rtTvOVGMJju8PIhwHSCgUakkjf1gsjnZs0I8qQZ/1YRQYL1eWDP5rLSIcB4g9iM+PZg3C2ivSwLcXrWzcj8KgOcuyZJ6qFnP4vyWHmGoxDmc2TT0EGbBXL60UjgdVlBq972Z/tvvBXoSuns6TM+bR2dnZ8DWF2ohwHCB2r+gwuKsEoRq10m0bLSvI99iePsV+HY1GxeJoMeIIPEAikciu+YKc4zDapfFvl3rA7vmUglCr4fIaJxNkkakg51Wri5dv3n1Mtfoc9BobTqqNraj32kHvy2/OrmaNPRH8EeE4YKLRKNls1jdn3fl/I43mfuLMbKnVa2xGymcjcxl5ba81Cr+yLcAxQcdKeI15CNJrr6dT4TzWa+Zee1+1cS5BqZaKu9c4nbOMIJ+/uKlajwjHAROJRDwHAXr1Rr0sEy9aISzu3rBXg+A34+xBZ+o8qJMnOhtbv8F5XpaOe9yE1zH1xh0arX+Q9HL3992eiUBoHSIcB4w9XYQXtXqX1RqCoD1fP/dILVdNsxpiZ6N+2Bv4dq57kGfrZX3UEgqnpex2swZt9P22Nfp96OrqqvscoT4kOH7AVBOOoH5zL7zm+PEz9/0sh1rbmk07N7zNZr9djUGfbT0xGvu906Jx/m93XmrFhxqtq1dZsVhMVv7bB8TiOGBCoRCaplVddtSr5+UVT3D+73Zv+U3hUIug7jGhPg5SJPcaWK8WL/LbVq0M+3vqtbBUvc9J3FT7gwhHGxCLxchms7776w3sNpNGfdtBy/azhBrB7Ys/TCLn5+rx2ge7s++84mBO3N8VPyugGUkLNkGX0rXP9QveV3N7ubeJcOwPIhxtQCQS2SUc7oagnsyXVjSgrWiEmy161awqpxXmtb1aHS3H+hG1Ztrda8NbLXvIr/FvpvAexLm1ynVbIc4YnvszlfjG/iAxjjbAOVjJq5FQlPqWwmzULVWNZk7T7sYdYG31dWpt27U/4PNs5xjNQdStke9MkGB6tXLF4tgfRDjaADtA7nZDALv+D0qj5/lhr+jWCg7SpXRQjX27icxe3Z6ttB6DHhePx2VW3H1ChKMNsJdw9aJRN0Szf8j7FTPYbxE5bHGQRgjyXWj25IaNllctE6saiqLIwL99RISjTYhEIlVHWNu+XUE4ytTzHXevHinCsX+IcLQJ8XjcdzT2XsZzNIvDPDivHeu9n3U6iO/NXu4vaH3d6bvDw8MNX1OoD8mqahNSqRTLy8stEYlmNfrtKB5BXGhOa809KtoeP2C/9y3D/gtQjrMsvyk7vFw5rcxMasYx9Zzb6niJOzW5r69PBv7tIyIcbUI4HCYWi5HL5XZlVDnz2Q+y8W7W9etJFfZLoXXWJwjVYkWBxhrYf3WW43d8IxMLujsVXoPm7P12+e7vkd8zb2ZDH3T8hlc5tb4T9n24594aGhqq+3pC44irqo1IpVK+jaTfJHUHgbPX7fXaiV9v1J127NdY+KXQNppl1i40Uh+vVG3TMcbEOdbEebzztVe2ni1A9oqUzpUpg9Szmd9Lv1RytwA792maxsDAQNPqINRGhKON8FtHwJ2e624o/H649fTG3WV49ZDteng1YH71aCStUmg9zs/NthDc8005j4Ntwbb//ASmkYwoZ128yvFyDdr09vZKGu4+I66qNiIUChGPx9nc3Nz1o6llwnu5KwzD2NE79yqzWhleP9xWDgQ8CNrFimslzbrHat8Pr++f+73TuvR67bSWquEcOQ4SFD8IxOJoM7zcVW6CrFUO21knXu4MwzB2WSxe791lH9a04HpcYe1Iq+oZtLGudj6wwwrxsoidFitQcY3ZNHp/oVCI/v7+husvNIYIR5tRzV3l9d7dkDutC3dQvdpUJH7lO0XHvd9PdKq5z44q7SxA1T4Ld3aX3/fFrxy/Tke1ungFt203Va3kC/c1+vv765qOR2gOIhxthqZpJJNJzx+018RurW6kvRqPWi4uG7fPvNaf2632oIuSXyypnnP99lWzKv2ec5C050Y/G6cFXC0w776GZFMdDBLjaENSqRSZTKby3tmo2j+aRlIevWIdjRC0nHoyc2zcDZbfNdyNjNMCs997BVSDpgJ7imONxjgoXokGznKcMa29iofXsc20jpzl70U4NE3z7ZDY1oj7euFwmL6+voauJ+wNEY42xLY47MWd6u35OanVQDZKOwwGrOZ687tnL1EK4l5BUXaM46hWl1o4A8J+5QRxE9VzLT/28hm6z200VlLrPOfYDScDAwNNn2NLCIY89TZEVVWSySSwu+Gv1lh60WzRaKUvvxELpd6yW8VBi6gf+1Wv/Yjx2LEMWywkm+rgEOFoU/yyq/bqGthrVlQrG6LDHMPYD0FtN9zfxf26nmmaxGIxent7W35NwRsRjjYlkUjsSlm0cf5gG8ko2cuPvF6LZy/lN5NWi1G7il2rhR52j6uot4ygdbSvoSgKJ0+ebOh6QnOQGEeboqoq3d3dLC0tVT3OHfTdT1oR53AHu70sLL9sGxuvIHi1utYsj+1JDr3mhnJ+Bu7//bDLcR/rFfBvFc2Mb+ylnHpnF4hGo4yMjDTl+kJjiHC0MT09PaytraHretUGsxHR2Euj7zXyN+h51bDLs0e8e91zkKC3+32tLK1a2xSoTHLo17N2Z0D5lWtvr3bsXp+nV6ZZu1pEQVBVFV3XK+9PnjwpQfEDRp5+G2NbHe6xDe5GppEfUaONifP6zmB2kMC2e4yA+8/Gvp/9sqLaNYYA1Ud2+z1H57xT9nF+uAf8VRsA6L621+t6qCZ8bgvSJhaLibXRBohwtDk9PT2e6307G9tG/ctuwXEKglsIvARrL2MMDoKg1ko70apEhqAuInfnwPnnnOSwkbrZ6eZ2+V7fJ/d9jI2NibXRBsgn0ObYVgfs7uW5G3q/Xnw1N457m7vHehDTubfKAqjl2tkL7Sw+bup1b/p1WpzBavt/5/Ts1cry6rT4uWLt68RiMU6cOBG43kLrEOE4BPT09BAKhRrKoHIKgFMQ6hUWN63MrjqsmVVBOeh6NOv6zkSBau5Up5VSr2Uq1kZ7Ip/CIcBpdTipFTiu5apwvnb/4KsJjLthqHWtRjhMqb71Us+z2stzrRYbCXI9r8/YHUvx2l7tPAievivWRvsiwnFI8Ip1+PmCvX68Nl6Np1cvzk+E/AQnyHu/bV4cdK+8lQQVsL26Cf0SILziCdViVu7Pq5Flb5341cm9T6yN9kU+iUOCO8MKdqbF2j7iICmvzcJ5Lb9Au/N9kB5sI0H4WuJZyz2y12fSKguiWnaZ3z07t1UT9HrrUu369eBnbXiVJ9ZG+yLjOA4R9rgO2J6G2otGUm0bmW3XSTMEyS1EzqybIA1lrWOrWTpV3TflA2oeF5R6/fvVeujO134prI1c2w/b2mi0nFrneYmkWBvth3wahwi/WEe70MwYQitcVa3KqtrvLLCDJIibsRpBYxu2BS3WRnsiwnHIsGMdzh6Y+4dsp0XWS6Mj0FtBoyPig5TbbFoVj2m2K+kg40ZBrRT35zM+Pi7WRhsin8ghQ1VVenp6Kq+rUW8j2YypKZrZMPv59r16vdWmY3G7dexxBu6BjvYYBHt/5bVHmX7l18IrFuVMVa0VJA56DS/2+tm0+rth77fdYf39/Rw/fnxP1xRag8Q4DiG9vb1kMhmy2Wxlm7PRsWlECDRNqyvW4dWAV40XOFIyncc6G8yg+f61Gle/c9335ydGlTrUuGa9g+m8rm/v83vtPN/rs7bLcT9Xe/teY1jOejZ6rj0HWS0URSEUCnHhwoWGrye0FrE4DinDw8OV9NxqjWw1q6QZ1oHX9CRevXCvzK9qWUCtws8y2S+alcHlzkhzbvcSCK9R3vVYS43GNpznVMsOs7+ndtLH5OQkkUik7usJ+4MIxyElEokwODgIbI/g9WtI/PDb5xabWo1NrXRZ57n10GisZr9pVTpuo7iv4RUPq5Vl5vysq1k5tbCv7Rws6Fdn+xpDQ0OV77bQnrT/r1Lwpbu7m2QyWbPnvtf0yVqNTTtm//ixn9lajR6718wld1mNuKicn7Vfo1+rM+D1vatm8VmWRTQaZWJiou76CvuLCMch59ixY4RCoR29Sr8fp5dVYv+w3dNH7HVq82aJSbNFqRXC0WyLo5lWVrPckdViSF4JA8791YTLbZGIi+pwIMJxyAmFQjtcVuD9Q3UPDvPqUbrnp/Lr+XptOyxpuQeZ4htUYPYahG4m9vejmpvSyyp1djyqPR/nuceOHaO/v7+p9RdagwjHEaCrq4uOjg7PDCUbd7aSk2oZOvZrvwbCOfuuV7m1RKgWjfrWq3FQVkyzBabWudVclNUC1c7Pyyt+FgRbbLxmOHBbKpZlEYvFxEV1iJB03CPC0NAQm5ubGIbhO1UHeDcm1RqDWvERp4siSLnu7B53OV5xGVucvHq7jYhAM8arNMJer+nVIXBud4p3rYY+yHa74a8Hy7LQNK1qbMVOenBO4njhwgVCIWmODgticRwRQqEQw8PDwM4sKy8ayW5q5Di/WItfb9dtIdnYA/L8YjPuRafcr/16zIGDvZaFZZpYLpdNNfef1/Ov5vYL0qOv5jp0WpR7sfCCXK8atmjU+v45RX90dJTe3t491VXYX0Q4jhAdHR10dXUB2/GOwI0j7b0GRrU6u8eRBLmuu8F2v/a4EFQRr2rXCSLi9Y6r8LuWu9xGaTT1th7RMgyDZDLJmTNnGqmicICIcBwxhoaGCIfDNd04Xpk7QVxStWjVALtGA8tuC8HZ23VPL+J1bKVh3/rzK9e5zeu1Xx3dwrWX0d1uV9VeqLcuiqLUdX3TNIlEIly8eLGhlS2Fg0WE44ihqionTpyo/Bir+fODLOAUdN9eqeViqdWw+9XRy33kDvr7HbejLjWyifzKs187/3dbRtWEp6qYuVxlzaLeGJA7LlVNcOxjVFXlkUceIZVK7bm+wv4jwnEEicfjnDhxYpcv2YtqveG9Us11Uss95G6Y/Xz4jdS3mffYqutWEzK3EDmPt3FaVE7RrYXtbqrH2ghiMbiv//DDD1cm6xQOHyIcR5RUKsXx48d3ZNz4pcz6TTHiRa3Gx53549XYeTV8QaglgvXQSuupkWvuJZjttKT8AvbOOjj/nK468M9688Ntnbi/Y85rQDmuMTExIVOKHHJEOI4wXV1dDA0NATuD5X4Nik098QT3X62eaqMNdrMb+iAZYPtJs65fb4zEGeB3xoDcsR+v74Rzu2Vtz37r5y40TZPTp08zMjLS4N0J7YIIxxGnr6+vkurozp2HYHNRNUIrM7cOytXkRdD72Y867yUrq5orEdghJG73l59F6bRkTdPk2LFjkkF1RBDheAAYHh6ms7MT2PZH+/UgnQFO0zQxDGPHWAmvAK8Xfg3lXtxN9nlHLQtnL6LitPIaLcf5eXi5mpy4x8046+E+z1mvvr4+WV/jCCFDNR8Qjh8/jmEYZLPZHb1Ed0zCibuRd1sqduPgFhOnADUTt2ukWWMevN43Wk4jtOJZ1bqOO7PM/VnaBHFR2ed5xUksy6Kjo4OLFy8euDtQaB5icTwgqKrK6OgosVisss3tZnAeG6RhdgZk/YKy7viHn2vMb5uX+8zZSO2F/XR57dWqqGXBudN0/TKv3GW6BaAWfsFw53fJGQyPxWK84hWvkOlEjhgiHA8Qqqpy8uRJIpFIzV5uKBQK3Nj5NeJBAtB+wlJLePyEpVqD6eW398PZGFfKb4LQ+DXe1e7Z73i3C9HLGguSBRdENOwy/YTILst5PU3TeOyxx2Sa9COICMcDRigU4uTJk4RCoarBVMuyAscSGrUAGgnmugfPuevh/t9PNJxC5NUAe1pC+Df2btxlO91AXhZUkPv1olHLq97xO7YV6jze+d5dni0aiUSiofoJ7Y0IxwNINBpldHR0hzD4NRx+c1658XNt1RKHeho+v9HTQUdYe41hsLe767FDFGrcg9c+dzprtZHvzkwl9zQoTrePF41MUeIMXAcpw8s6db53i0osFuNVr3pVJSFDOHqIcDygJBIJxsfHCYfDQO2pSVoR2HRbD17xEie1XFLVrtGugdmaVo61Hcx2i6FpmrtGhdv/15p4MchxdnnuZ+w8x07xtsvr6urila98pVgaRxwRjgeYSCTC2bNnSSaTwO6eqJOgloFfA+03qaLt5qrl+vGjmcusHhacg/Tc2+3/nXOV+YlyrWddy9Kw39tlDg4OSkzjAeHB+9UJO1BVlVOnTlXmDXKnZTobl6DBZL8geLNcVu5y90KttdqbgV8d91L3IOf6xTHcGVBex/qJht93YWxsjIcffviBFPIHEcmRE1AUhRMnThCNRpmbm6tsd2f02KJgGMaOBieonz1IALZRn/1eBaSV1BLNestq9By3a9AWAnfdqlmHdtKEfZ6maUxMTFQWERMeDEQ4hAr9/f2Ew2GmpqYqfmuv7B9bPKpZGF6NeZAGPqh4+I1V2E+C3I+faDRaZ+ezD4LX9e1sL3u7+xgvS8P+TGzRAAiHwzLL7QOKCIewg66uLsLhMHfv3qVUKu1qoJ2ZQLUa7lrb/Rqu/bQg2tlScWM/l3qsF69jbeEJkhLstEqc58TjcR555JFKfEx4sBCHpLCLRCLBmTNniMfjnhk79utaqbp+wVivQLh7VHkQmuH+qTYupBk06lrystacU+N7jakI8ue0NJxl+8UzvILwXV1dPP744yIaDzBicQieRCIRzpw5w71790in075WgJ/V4HWM3fj5ubbc74O4rKr1mqsJgbO+duPorlulPMvCtMoDAJ3n+AmdXbZfRpJfbKHavfkJRj246+usp587zTn9jGVZDA0NMTk5KUHwBxwRDsEXO+NqdnaWpaUlwLvxr9d1ErTB84t3OBs6Z8NmWy3Oxr0a7iwjv3Mq+wjWcDufhz3Wwnms24rzqrPznoLej/O8avfrVU+v45zPJRQKce7cucr6LsKDjQiHUJNjx47R1dXF1NQUuVxuV0MIOwWllvVRK8DrtgS8esnO986e9H7FR4Jcw+nO86uXn2DZ96hp2g7x8BK5WpYDBBth7mUJWZbFwMAAZ8+e3TFBpvBgI8IhBCKRSHD27FkWFxeZn5/3bKzcbo1qPVpN03YEad0uIK9zgtKoeNRzXiPXqPcc57PxclV5uffcz9Ht8qvmLnSWqSgK4XCYM2fOiJUh7EKEQwiMqqoMDQ3R1dXF/fv3yeVyvg2hO+vK2Qja253B9WqNmX2sn5XSaOrvflPrHp3Uk27sFZ+plmrrlZ7rzJqyLIvBwUHOnj0ro8AFT0Q4hLqJxWKcO3eOxcVF5ubmKj1av7EBhmHsWHmwVkPmhW2leFkkzRSIZgpOPcF693FOt59ffYIEt72Od1shzuMikQgTExP09/cHqqvwYCLCITTMwMBAxfrIZDKesQfnmA9nHML+32743Md4USsYvVerox6LoF7qcYEFDYhXsyq8ynOX6bbijh8/zvj4uCy6JNREqfGFbi9bX2hbVldXmZmZQdd1gF1+9SANp67rO0Ym2+fC7vRZd5mNCI7fsZZlUVhaIn3tGpv37pGbmsIoFMr1UVW0eJzY0BDxsTE6zp0j6tE794tLBLm+X7zHec/VRK7aPluknfORxeNxJiYmZAR4A7z73e8mFosxNDTEn/zJn3D16lWi0Sjf/u3fzrPPPsvFixcPuor1EqjnJMIhNI1SqcT09DRra2uejbtXnMONvd8wjMDXrWZpuDO4nHVwN66mYbBx9SrLX/gChaUlLNPE2hJChe0fg+WwklBVYgMD9D35JB2Tk5Uy3VO2uP/3ejbuBt8rE6ras3O7oII8rxMnTnD69OnAi3YJ21iWxYkTJ/joRz/Ks88+yzve8Q5e/epXY1kWP//zP8/f/M3fcOnSJXp7ew+6qvUgwiEcDNlslvn5edLp9K4GNKj14exZB6FWumstN1RxfZ3p554jv7CAuWVd+NbNY5saDhMdHOTE299OpLs7UGDbb+yGZVl1zUdVqVeN5+rcn0wmOXfuHF1dXXVd40Hh4Ycf5tKlS577PvCBD/DBD36QL3/5y7z5zW9mfn5+l3svk8nQ1dXF888/z1vf+tb9qHKzCPSlk+GfQtNJJpOMj48zMTGxo7flFpBq2BaB15/Xsc7G1/ln4zX2xGb95Ze5/Tu/Q352FqtYrHl/XjU3SyVyMzPc+p3fYe0b36hLHJ33YW93LtDkXqxpV31qiLFzfzwe58yZMzz++OMiGlV47rnnAPjUpz7F7OwsMzMzJBIJfvd3f5ef/umfBuD555/nLW95i2dMyO40HVX3n0TBhJYRj8cZGxtjeHiYhYUFVlZWavbE3YHeIGmpfjERN/ZgOicrX/0qiy+8gFkqAaAqCkajWVWWhVkqMfvJT6LncvS+6lVVDt09uNGr3n5uOOd9+lllzmt0dHRw4sQJBgcHW5YAcJSYn59HURSefvppUqkUN27cYHNzk6eeeop4PA7AJz7xCf7jf/yPnue/973v5bHHHuOJJ57Yz2rvGyIcQsux1zgfHh5mcXGRpaUldF2v+OS9FlPyCwrX07t24wwMA6x/4xs7RAOg/tVAdmMWiyy88AJaLEaXT3DUTzTc9+k15sK9YqJfAgFAKpXi5MmT9PX1NeHOHhy+/vWvMz4+TiqVAuDFF1+sDIIFuHHjBrdu3eJNb3rTrnPf97738YUvfIEvfOELRzZ2JMIh7BvhcJjjx48zODjI8vIyCwsL6LrumYZbzXKoti+In19RFApra8z9xV/sEA0ou6EU9iggioJVKjH36U8THx0l4uES8qu739gNZ3DfPtYpMu5YUm9vL6Ojo+KOapCXXnqJRx99tPL+xRdf5OLFi5VOzvPPP88zzzyza4bgH//xH+fjH/84n/3sZxkfH9/XOu8nEuMQ9p1QKMTQ0BAXL15kZGSEWCy2K4bhFadwb6/mwvKKCTiPn3nuOYwt0XLjJT22oLjf77iCZZUzsbZem6USM889V9Na8luq1+u+TdPcsYiW874URWFgYIBXvvKVXLx4UURjD7z00ku84hWvqLx/8cUXd7z/xCc+wdvf/vYd57z3ve/lYx/7GC+88AKTk5P7VdUDQYRDODDshu6hhx7i1KlTJBKJHfvcjb8zUOx0y3iJjVew3H6fvnKF/OIiimGUU2uh8mdu/WEf79puWdb2a/xFBkUBy6KwuEjm2rUd92DXwznOI8g4FOdAPnubqqqEQiGOHTvGq171Ki5cuCDrZOwR0zR5+eWXd1gcN2/eZGxsDIDFxUW+9KUv7ciWes973sNHPvIRPvrRj9LT08Pc3Bxzc3NkMpl9r/9+IK4qoS3o7e2lt7eXdDrN6uoq6+vrFF0ZTu60Va+xELBzDIWXW2vpb/6mnD2lKOVG3rLKDT1bVoSqYm016kHCyBagWpaniJjFIkv/z/9Dx/nzu7K87Lp6Tbvufm3fi318JBKhu7ubvr4+enp6ZH2MJnLz5k2y2ewO4XjkkUf40Ic+xOOPP87s7CyvfvWrd0z++OEPfxiAZ555ZkdZduruUUOEQ2grOjo66OjoAMrjQdbX11lbWyOXy3m6Z9wBb9gZD3C7iYrLyxQWF7ePLe8sH+eTzVULWzR2NP6UrRIFKC4uUlhaIjYwsMsq8hqY6CzHaWUkEgl6e3vp6ekRN1QLOXfu3K7P/o/+6I8qr9/2trftclMF/a4cFUQ4hLYlmUySTCY5fvw4xWKxYolks9nK1CbuOa6cPXkbZw9+4/p1MM0dI8G3DkKxLCyneLiOsbaO24FtadgCxbYLy7ZmLMsic/16ZWoSt0g43XJOQVEUha6uLnp6eujt7d3hyhMOjieffJJ3vvOdB12NA0VGjguHDl3XSafTrKyskE6nKTkyo5zuKud7KPcK733sY2Ru3tx2T201/CrbDb4KZVfVVvxjh1Vil1UusOLKMrdeO7Ox7PeqZZE8c4axd71r14hwp0iYpkkoFKKrq6viuguHw015ZoIQkECDfMTiEA4doVCInp6eyqjcTCZT+cvlchQKBc/1QBRFITc3VxYNR0xCURRMp3tIUUDTUExzhwWydfC2dWEH1h3Wg7q1zS5f2Tp2c2v6ebd1EYlEiMfjdHR00N3dLS6oNqNo5lko3GO5NM1qaQHD2CBnbKCbBbpDvRSNNUJqjN7wCFElREdkmM7wKB2RYyjK0Y07iXAIh55UKlUZqAXl9T9sAbH/LxQKFItFjHy+3NCratmtZDfwOMxrZ5qv7b6yLRR7XXPAYLt7Zp9rWlbZYnFaM6ZJNJtlYGCAaDRKLBYjkUgQj8dlCvM2w7AMbuevcDX799zc/CabRhrTWK7sH9T62Nx6b0XPsFq4CUApdoGN/GUAuiNjWKUFeuIT9McfYSjxOIno8f2/mRYi31rhyKFp2i4xsVlZW6OkKOiKQlFV0RWFkqpiKgomYCjKjjiGaVkoloWuKGhbr8HhqtqKjahAyDTRTJOQaRIGIpZFxLKwxw5PTEy0+M6FRpnK3+GL6Rf4+/TfkNRSbJZmK/sG1BR5s5xWG9ESFeFwoji8+lE1QdbKsbT5dTZL80wv/wHJyBiDHa9lsPO1hLWO1t9QixHhEB4oNE1DNQyilkXSZ46nylgOym4r20KBLbfUllDYf0FQjujUE4edl7Jf489XP0HBzLFSvAtA1kwzrPWQMVYBSIUHyBfKwqEpUc9yTNMRZ7P0yuuk1kO+NEe2eJfptU+ytPyH9Ha+lsGe7yIaHmzVbbUcEQ7hgSLU0UFpba3qMTsEwY59BJze3fe6nZ17Ol9oLtfzN/ir9c/wt+n/Wdl2MjzEamkegK7wUEU4NCVeOUZVvJMVDCtfeV0y1iqvLSNdeZ0KD1E0Vlje+CvWs19mKPUkvb3fg3YILRARDuGBomNigpUvf/lAriscPFk9y+8vf5T/mf5rAEZCx1jUy26phNZTEY6cub0mS9HaHojql2aqG1kAQkqcvL6IAkTUTvKlqfKgUiWMXrxfOT4ZPsH6+qdJpz9Pf/8P0Nn5+qbd435wdMP+guBB12OPoexzQFoJheh2zHMkHAzf2LzMz03/Ei9mv4619S+ibcfB7hTuEqHsipou3idCDIA1fTumYXpMf6mgUDQ3gLJby46QdUSOVV53Rk9jbsVJQlo3Rv5GuTwzw8ba55i5+Z/RS+vNvN2WIsIhPFD0v+Y1+x5vUFSVvte8Zl+vKWxjWRZ/vPzn/KeZ/zczpXl6w9sZTjcLtzkRKc9BlbdyDMVOA2Cg0xcdAWDDWCWqlOf/Kpm7F/qKqinsqFhU3Z4nTHXEOlRzs/I6GR4CyjERTeslv3abzfSL3L/6fnKZq02449YjwiE8UCTHxkieOrW/1zx9muTWBHnC/lI0S/za3O/zzdxt7JE7twr3OB97uHJMyTHmbcXY7vWbjnEYHVuB7IKV23WNqMNqUSwDAFWJUCiUXVPx8DFKxSkAIqFB9Lw96aWCZnTCllvMNHMsXPuvbMz/dcP3u1+IcAgPHCff+U7UWGxfrqXG45z8/u/fl2sJO8mbBZ6d+f/wt9mXuJy/y0R0O850rzhPt9az9XqKsWh5gaa50iyDkVEAZoszbE2DSUgtf19yxu7ZbiPqdvC8tBVQ74yMYlG2TuLadmJEXOuspO7GIucpZu5s7VGIKCcoZWdYuPZbrE1/cq+331JEOIQHjv6nnyZ5+jS0ekZZVSV1+jT9Tz/d2usIu8ibRX5j/jlmS9vxiTvFRU5sualyZp7e0HBl37qRwx7OqW6JxKaZoT9SdlcVrdLWeVkUV7MZ2sq0Cikx8np5As2wUo6jaWqcUv42ALHwCEahHNsIaX3k125VyohFJyms3dx6Z5FZ+FtWb7eveIhwCA8ciqry0M//PGok0tLrqJEID/3cz8ka3/uMYZn86twf8dXsVUJKim6tPI1L0SqRNS061XL6663C/YrLak6fZzx2HoDb+dskto4Jq2U31Jq+slW6RUzbmVqtbg3xTIUHsSfn14tzAHRExiqWR1SxkzIUVCMFW/GSWHyC/NLlSnmx1AT5+essX/l9NqY+14xH0nREOIQHkvjwMBPvex9q1HtA115Ro1Em3vc+YsPDtQ8Wmsp/W/lrvr5Z7r0v6Rs7xGPNSNMVGiS0NRLhXmGebq0XgNnSMhohdHT6tiyN5a2MqnVjpRIgj6juGQnMre3l/anwcXRzK1aydX4iehqjeAewXVTlwYbh6AnySw7LY0s07PFDi5f+LzYXt0WlXRDhEB5Yht/wBsZ/5EeaLh5qNMr4j/wIw294Q1PLFWrzwvpLPL/6d1yInatsc4vH/eI8Z2LleEfOytMTKi/ItGqscmpr+2ypbDEs6wt0hQYA6AiX/7fjHRW23Fgq5cC4HdNIRcbQ9UVAIWyWBwg6XVRaqAtjIwtmOfvKLRpapIsQfcx98UPomyu0EyIcwgPNyPd8DxM/8RPlYPleYx6qihqLMfETP8HI93xPcyooBGa6uMz/tfRZAC7nZzkTPUOMsjvSLR5X8/eYjD0EwO3CfSa3XFZ3i9PElBirxirHI2cA6AiV11EJbQXBVWXnOCBjKyuqpK8BYG79H9mKfaSi5zBKs4CCqifBLKIoYVS9A7NYPtYtGuHkCFYWSmvTmIU0c3/761jW3mYvaCYiHMIDz/Ab3sCrP/IROs6fR43Ha5/ggRqP0zk5yas/8hGxNA4A0zL5byt/R8qR4XSzME9XaIA+rRvYLR7X8lOcjpbHbdzdclllzCwnomXBKCrlhjptlkeFFyvjMnbGrHQzuxUYXyCq9VDUZwlrXRQKt1DQULcmRYxFJilm7wEQDY1TSpdTdN2iEeuaoLQ4h5nfTg229BLrVz7TlGfVDEQ4BIFyzOPx3/xNLrz//WUBiURqjjBXQiHUSISO8+e58P738y2/8RvEJaZxIPzl+iW+lLnDphlicmsQH8C8vk7e0hiLnAB2ioeJyXwpzUBoYIfL6kbhDim1kzuFO3SF+pgtThFVkqwZZXeR4Ro9XjTSJLdGjKfC5TJS4eMomKRi5zD1ZUKhfvJbWVOx+AXyK+WBfjtFQyHWeYH81DUwtla4jKSIdpyjcP8Gy1/5KHp298y8B4HMVSUIWyiKwsBrX8vAa19L9u5dlr/4Rda+/nXS166hb2xgGQaKphHq7KRjYoLuV7yCvte8Rgb3HTBpI88fr3wVgLylcyW/xKnIGOvGCqtGmqxZIF8sMRk7w5X8TZb0DfpDnXRrsGask1J7iStxbhfucz52kav5lzkTPc+t/DfpDA2yri/TFz3BTP4a/UoS3dqeCTeiJrHMLFE1xSagmgUUNMziDKoSheIMoKCWkmAuEY2Nk18oB7udoqGG4oS1Y+SntwPh0Z6zlBbnKaxcB8DSCyx95aMMv/5/27dn64csHSsIwqHmo0svcj0/z73CPFnHLLUxJcSpaDdXtsZRAEzGjnEtfxMTk/5QJ7qVYc1YZzx6gtuF60SVMHHVYsNYZzDUQdHMETGLjEZPsVi4zunIaSyrQKE0w2j0DIaRwdLnGY6dJ1e4S8IqleelKtygM/YQZv4SscgF8iuXCYUHMdbTWEZuh2iEYgOQBz1dHgOiRlKEY8cozFzfcZ+R7lEoqQx9x78mOnCqVY8zUO64uKoEQTi0bBh5/nL9KpfzyxjEeCg2RpRyUNppffRsTV1+JT/LSOQkKTWxw211qzDNZOwCeatAtzaEgUGH1k/WzHIsNs5scQoVjZAaI2dujx6PaAmgHBjvjIwCBppVQlNTWIVbFReVqiYgZ+0SjWjHaYy1bEU0oj1nIafsEI1wxxDRzjMU79+nOHeXlS//yT49XX9EOARBOLR8Zv06ha35ofKWzqX8MhG1k8nYKOpW83anuELODDMZOwXAveISEaWTY6H+HeJxOX+Xidh5bhfvMxm7yPXCTYbCx1kzMuStHAORUYro5Iw0dsc8pETQlAgFfYGQohALDVIq3iUVGcWyCqilBJg6IYbQc4s7RCPWOUlh9g5WaRM1nCTaOUHh/g3MXHkNDy3eQ6znPKXZBQrTNyv3nL35FUprc/v3kD0Q4RAE4VBiWhZfzqxwITZC91bPHyBtFriSX6Un1M9EtBwUz1slruSXOR05RY/WwYqRYcUwOBsd2yEetwvzjIRHuFOYpVvrRVMTzJSmGQgfR1VjrOsrWFjE1PJYDQ2VVHioPLV6YYZEqJew1oORv17JoopFJyiu394WDTRiyfPkp6+UrY6es5DXKMyUJz9UIylifRcwltPk713dXkwMiPSdJNp7lvW/f2H/HrQHEuMQBOFQ8mJ2gf88+7cAqCicjnZiWAXuFBd3HHcs3EFctbhVKPfSY0qYU9FOruTvoFCOe1zOX6/EPEwMVCtHd6iDO8WrnI2MkFQjbJYWMYxVepU4A6EeOtUYSaW8gkfIzKKU5kmi0hk9iaIvo29sEIueJr9wtSIaariDkNlFcfU+ajhJOH6iIhiKFiHae5bC1G2s4vYsvEokTrR3DH11FX25vNCUluzm1L/9cGVJ4yYSKMYhwiEIwqHkw/Nf46+3xkI4GQjF6QuFuVdYYNORATUW6cKw8kxtTXx4OtrHqr7MmpHmbHSIe4V7dIbi6FaGpBploXSfM7ETZIxV1vVZugkzoHXQpUZJKiGSQAKVhKIQRyOKSchYI1RaJGqdAB2Ky7PEkuPk568TThzD3NjE2Fwj2nOG0tIiZm4DFI1Y/zmKczOYmxuV+oa7htEi3eSnb0Ox4L5Njr/rZ0mcutjsxyrCIQjC0cS0LH5u6u+IKLBuZJkpbew6JqJonI52kDbSzJTWKtvPRHtIGxss6OvElTBjW9bHsXAPeXMdTQHdyjAY7uJe4SYJFQZDnSSUEAkgAcQxiVk6MatI1CySxCKJRlJLELYilDZmsTImkegw+fnrRDvOUpi7g6qGicRHyM9cAxSi/ecwllfQN5bKlVNDxAZOY2bzFOfu77onJRwl0j+CYoWInThP/z9s+pT9IhyCIBxNbuXT/MzUVyvvu7Qwx8IxilaRe4VVdNcgvZFwioQGt/IL6BioKJyL9TJfWmLNyFasD8Mq0R0KkzOz6FaGY+FucuY6WWOZGDrdaoQ+NUGXEiJmFYmYmyQtgy41ShyImXmM9CYhvQuNFPn5G8Q6zpOfvrxlZSxh5taJ9p7GzBYoLc0AoCV7CKeGKc5NYWbTO+quJbsJdw9j5YoUZu6BXh4cGB48wdiP/5dmP9pAwiEDAAVBOHRczq/teL9ulFg3ym6piJLibCSBhslMaY20WWSqlIESpNQuRiMJFkprXM0vE1ZCXIiNca8wh0mYsWgfN/L3ORvrZ0mHudI6vVqUvvAQKgUUM0/BKmAqGuXFl6IktThRDKJmAbUUQ1O6UVAoLN0nGj1NceEusc4J8vevEe46QUjtpnD3dvn8gdMoukph6hbG/GrlfsK9x9HiXRhr65TmZzDmd94vQGlhGiOzgZbq3LWv1YjFIQjCoeP3Fu9wp5ChYJVYLG2S9lgLHMrd55FIgpSqsqJnmNczle2nop0oVolbxUXiaohTkQ5u5mcYiXaxoi8xHO5gubSAquQJKyVUJU+XotGlqHRh0YlCN9BhGaSwSFhh2ARyBqW1FZSChqamKK0soapRNK2TwtQN1GiSSM9J9KVF9LWyi0rRwmUXlBqlND+HsbHmfeOKQrhnEC3ZBZZG7zPfTWLy0WY+WrE4BEE4mnwjl2GqknkUoVtL0hcKE1GgaBVZKm2ybhaxgPvFzcp5faE+BkIR8maeu4U1TCx6tX6GwlG+/Nef5VPv+iD/r69/jFIyhkWUpNZLycqgKUWiShSTAiagoKIpEMIkYqlE0bFyOuQUzEwRNiEU6qK0vEAkPkz+/nWUrjCxgfPk798iv3wZNZ4idnwCq2RSmL5P4ebtnTepqoS6BwgluwEFM52lOD9P6e48JcrZVYWJx5otHIEQ4RAeaD74wQ/u+F9ofyzLYr6U37FtzSixZpQcWyJ0aQn6bTExSyzpm3zqff+BO8/9JQBKSKPr2BCTb34dZ//NP6Voladgz5oKCa0bw9JQgJCiEFKKZVeVoqJTxFQUNEUhbKnEFBOtAORM2FRQciGUnAYRDXO9CCqEY8OU7k9jdQ8SGzqLmc5QnL1PfrGciouqEu4bRkt0gaWU9y8soK/Po2+JhBelheoDAT/84Q/zy7/8y8zOzvLwww/za7/2azzdhKWMZQCgIDj4jd/4DV71qlcRjUb5oR/6ocD7AE6fPs3U1O70UKG5bBgGZ6LdjEc7OR5O0KmGPY9bN3RuFnJczue4WdRZNyOE1Qinnvp2fuLvPst7vvDnPP6+H+Yr/78/4UvPfoT+UDcAOTNMSOlAU1IYVoyI2k1U6SWkdqEqHRhKBB0VxVKJoRIzNZRNDTIhyIJaCKPkym4rJadhbuTRQp2EIv3oUwvkr1/DKujERs4TG5kk3DkCmxqlO3PkL10lf/kKxakpKO52vymhMKHuPiLHThIdOwdby9Z68Yd/+Ie8973v5Wd+5mf42te+xmte8xre/OY3c+/evT1/BmJxCIKD48eP87M/+7P85V/+JblcLvA+gLe+9a386Z/+KT/6oz+6X9U9Ejz88MNcunTJc98HPvCBXdbghmFwJW+vjaFRHr8do0PTSKoqMVUlrICGhYlJyTLJmzoZs4humhRCGlOdSSDJwP/yFs7+zUtM/dXniX732wFYuDTFp37l51i+epP+c6f4rv/8k4y84jQqUfKrBf7oZ/+Iu397jc21LCdP9vGv/9lr+aev/RbIlC2OL/39Df7Tx1/g6vQCKnBmsJdf+WffzeSxIRQ9xt+++A1+5Quf4RsLK3RFI3zHqeP81Ou/le7eAdRYAiUcRdE0sMAqGViFAuZmDiOdwVrbRF9bBspjUax0CT8+9KEP8UM/9EP88A//MAC//uu/zl/8xV/wW7/1Wzz77LMNf14gwiEIO/ierZX7vvrVr+6yHqrtA/iu7/oufumXfkmEo06ee+45zp8/z6c+9Sm+5Vu+BcuyOHv2LL/+67/OO9/5zl3Hb5rGrm0msG4YrBu795VRgRgWYUJKmGPhXmKqSkSB28kO7ukGhlVuDr/yy7/Dt/7Uj3H8+BD/44O/yJ+89z/x3hf+GE0zMPI5Rh+5yD/80TdyMQXT/+Ma7//gn3Di57p48uxpjE34l7/633jHE9/Cr333myhspLm0tI6yWYKcybWVTf7F85/lfc+8jl8+c4qV1VX+w2f+J+//88/zG69/su5nZ+Y2PbcXi0X+7u/+jp/8yZ/csf2Nb3wjX/ziF+u+jhsRDkFoEq973ev4/u//ftbX1+nq6jro6hwa5ufnURSFp59+mlQqxY0bN9jc3OSpp54i7rEio2FZDPi4p2oRU1RyKOgGZAyT+a9/nZee/zNGnniCjF723H/bj/8Ep554LVFV5al/+z5+75/8E9KzRXqOD9Mz3Mc/+FePohgbjM5/iddPDPDFb7nOJ/7yJZ7qGie9XmAjl+eZk+OMaZ1YHUnOdZQX99Jn1/itT7/A/3LuHP/ywgUAxobi/O9v/E7e8gcfZy2eoj+R8K27F36puEtLSxiGwdDQ0I7tQ0ND/NVf/VW9j20XIhyC0CTC4TDPPPMMn/70p3nHO95x0NU5NHz9619nfHycVCoFwIsvvkgikeDs2bOex1umwuJmYyMF8rrFvb/+a3774qOYho6l6xz/B8/w8E/9POs3bwAwPH6RVDFCRFEodR0DIHNvjd74KEbO5IX/73/l63/xZ2SXZyjpBUpGiSfGJyCXokeL8L2PvZJ/9vt/yJOnT/Oa0TH+4dgYx1Awczm+MT3H3UyaP796bft+toZE3L5+n+7+gTpvKFD2bNMR4RCEJvLoo4/yjW98Q4SjDl566SUefXQ7pfTFF1/k4sWLqD4T+EXrnNhPtaBzK/7RoWqMverb+K5//59RtDCxvkFKqkZGN0nny8IRKoWI5BQwobQ1iNtaNTEX4PO//9t87o//K+94+3/g9cOTnI5Y/NInn2U5vYRl9oKZ579817/gX77yNv/z7jX+6to3+eW//hy/9eSbeHpsHEvVeMejj/PDr3ktaFuNvqVDqcRgKISaz2NmsoHvTYl4W179/f1omsb8/M6MrPn5eYabsLyxCIcgNJH//t//u6T21slLL73Em9/85sr7F198kVe84hW+xye0snCEgA5VI6lqxBSFEAqKBaYJJdMip5tkdIOMbrKGwRoG6aJBQYsw33WMEDBkanQoGik0ls1yhpKRtVBikMkbqFttuJm2sFbg9otf5qELb+AfPPZPOK0oHDN0bi3O0RmLg9kD1iaKEmWy9wwPDZ3lR1/zZt71f/4Xnpu6wzPf/noeGT3N9ZUVRpUY+uLqjinToYiJCqFutI4kajKGGoughNRyiMYwsEpFzFwOI5PBzGRQE0nPZxSJRHjlK1/JZz7zGb73e7+3sv0zn/kM//gf/+NGPqYdiHAIggNd19F1HcMwMAyDfD5PKBQiFApV3QewurrK5cuXeeqppw74Lg4Ppmny8ssv89M//dOVbTdv3uSJJ57wPadH00jmVLKGySoGq/gFxLcJKzAUDnNF09hUNY4ZYRZyJaatEholRuMRUlZZOPJpE5JQWLcIbbmCjLSFvmrR1zXOyy/+KTdu/i1Gopff/OJHuL8yzcPHzoPRwb3lBf7gy8/zhsnHGYrEmcovcnV5gR94/LWoiQ5+5OKTfM8ffZh/9xef5J0PvZLuYwPcSq/wmasv8b+/5jvRl1ZANzBWNzBWd0/cuAO1g/DQSd/d73vf+/jBH/xBvvVbv5Unn3yS3/7t32ZmZoZ3v/vdNZ9XLUQ4BMHBL/zCL/Dv//2/r7z/gz/4g0pKaLV9AJ/85Cd505vehKb559YLO7l58ybZbHaHq+qRRx7hQx/6EI8//vgOS8QmHqr+fMsiESGlqFgGrBcMFnMlpqwS63mDQslgo6BzJhHD0i3urxe5ky6iFsoTI+YyJmyCnrZQ7azrnAIZeN2T/5bM0j1+6f/8QWLhGG97/Hv5rld8NzcXrmLpcaJ0cmt5gX/9J/8Hq5sb9Ce6+K6z38Z7vuMfU5pf45zZyx9+z7/hQ3//33nXX/7fGIbJaKqLN5w4i75YQIn3EB7sQU2EQS+hr6+jLy67LJMtTAuts8P3OXzf930fy8vL/MIv/AKzs7NcvHiRT33qU4yNjdX+YGogc1UJDzTNHDn+vd/7vXz/938/3/3d373nsoTq/NzLU1zP5IlsiURSVTF12CgYLORKmB4t10AkRH84RDZvMrVRxLQgoSmcTEZZ2dBZzOhMdMdYWCnRFdFIrxkMxMKYOQs2FbQCRIoWvZpCj6rQbVl0WtBtQdIysAoZ0DOYpQxaXAdVR19cIdQXxcxnKc2uEhnvQ7GKFO7MgAVKIkJkpBcsndLUHGYuv7visQiRoW7URAQMHX1trSImA//rO+h64+ua+WhlripB2E8SiQRvfOMbD7oaDwSPJOJsrJVF4j7+ExyOxiMkFZWljM7iis4i5YGDx+JhOlWN20sFrqznOdMVRVEV7s7mOdUZ4/5cgcFoBDNnkV0zIQtxU6EzpmIVLSzNomSCoSgUsQjlIaJEQTXA1CmtZ4kMJTCNTZRwjNLtVaLnTmKsrKIvp9H6hgkPxinen6NwbWvaEDVM5NQx1JiKvriMvrxW3p4vUry7sPPmoj1EhrqJjJ9qyfOthQiH8EDz+te/vmll/d7v/V7TyhKqMxQLM5/bPWo6psJILIpqKsysF7mX2RaVkALjqRibOZOpxSKzlDjZEcEqwM2pAqd7IpQMjZVVnbihEbZgbqZEqKCQQEPFYnNNJxZRUcMqlmFRyBvE4ypWUkOxFBTFRI0p6EtQmtskOjJA4dY80TMjlOaXMTMQmxyjOLNA/vIShCLEJo5hbKYpTS1SvLO97G1oaIRQbxwznaY4Pb/TXVUoUpxZJnryeEufsx/iqhIE4dCxlCvxb75wF4CesMZQJEyhaHF/vYC+cw0n+qIag5Ew91eKZLbiGMPJEAlL49Z8gVgITnXGuHIvz3h/lNmZIqO9EW7fLnAsGSEZUjFzFhHDokNT6AorpBSIlizCaYN40SIJJC2LsK6jxfKE+i30xQyWuYmWVDE21jENg+iJKPlrcxDRiJ3ppnBnFitXFrfwiS60lEbh9jRWUd9xD2pHjPDxbjCKFO/NYhVLxC6MM/KBf93sRysrAAqCcHT5tb+b5e5KkdmMx3xNFox3REGH28uFSme9N6rRHwlzfTaPZcGpnggbawYraYMLgzGu3MpzbjjKjZsFzg3FWFvWWZ3ROdEbpj+l0hFSiCsQNyFmWsR1i7gJCQWSYYVo2IJMkeLMGpFRBTOdxzI3wTJQkwal6Q2iZzspLSxjbuRRkhGiJ1MUbkxjlcrZYUoiTPRkD/ryMvri2u57C2lET/bR8brH6H6Tf/ZZgwQSDpkdVxCEQ8lwLLJLNJIhhQudMfqsELfmCtxaKotGKqxyoSvGxorBtZk8EQ0me2PcvV9kY9NgojfG5ZvbojFxIsa163lChsLEeIxSwWTmdoGV2SL5DQOjVLZc1KiKllQhoVLULTJ3SugrJrGJTkqLgKKiqAlQNEoLFtGJAQo3NrDMONGJYaxskfzlFdRUL7HzI6AoWJsl8lcW0Bd1IqdOET0zAqqjPdcNCrcWSDxybh+f9k7E4hAE4VAytVHkJ/9HeYrwkUSYBCq3l4qUHClVsRCcTsW4PVcgXypvH+uOkF4vWxldcZUUGtMLJSaOlUVjbDDC3ZtFzo/FuHE5z2CHxuhwmFLaIDtbIqXAcF+I7g6NZFghYoC1oqMt6fQOhoj3qRRvbBLqLqKoJvp6Gi2pYpmbGKt5Yhc6yF+ZBYuy9TG/jJkuZ1OFhpJoKYXCzZ3rbGjdCcLHkhSn5zA3NomePsbosz/SiscqripBEI42v/mlOW7OF5jZ2Gl5aAqc644xvVAknS9bB9EQnO6McfVeHgs40R0ms2qynjEqotHbESK3YpKKqyxP6zx0Lsbdq3kGUhonT4Qpbhhkp0v0JVSGj4dJhBWMFQPmS/QNhkj1hijdyJPoAC0Fxak1ouMRCrdWCPWGK+IRPZOiOL2ElddRkmEixyMUrm+LRWS0E5QSxXuLO+4LVSF6pp+uZx6h8/WPteKRiqtKEISjzSuGkrtEY6I7RrcZ4sq9fEU0TvVESBnlbRYwMRhjYVbfIRqRkIJWVMjlTUKGQjikMH+/yJnxKJkNg+yqQUeHRigExc1yubpukZ4voUUVQn0h1u4VQFVQBiMU7+vEJrso3CwSm+xFXy6hqAm0nhiFmxm0rm5CfQmsbInC9SzRsyOoHTEAivc3KN7LET0zSni4e/vmTIvS9Aapb39oPx6vLyIcgiAcWp4YSzGYKo8qGO+KckwLc+1+nuVMOSvJGctYTpe3XRiIce1mnpJuVUTDNOFEZ4T5hRLnT8aYnipxfjxKNmNiFS16+zRW5kqoQKJze+R6KV92ysSGwuQzJsamRfR0lMy1AqGhMPkbBqGBCPnLRWITXTvEQ5/PYxTCRE71AFC4sY5lJoie256EsHBzldKcTuz8SbTe8uzBXW94BWos0vJnWw0RDkEQDi2aqvBPH+3lZDTCrakCs2vb1sfJ7ggd1raVEQspjHdFuXyrHE9wisaFkRg3bxcY6g9x/Uqerk6VezcKDA2FmL1XZHCgPAttfsMgntgWjsKW5aElVdbvFwmlVDY3DLAUrI4wlECNJUCB/G2T8InEDvGwMgbFeyVik+V1M2zrI3Zu2/oAyF9dwVhXiD96hu63vrLVj7UmIhyCIBxqXjPesSMaG9Fgsi/G/akiyxtlK6M/FaITjVtTBWCnaEyciHL5ch5VhVBJQdfh1PEIxaLFQE/ZmjHyJpoK64s6kdh2GCC/ZcXYY0eixyNkZ0tERiJkbxQJj0a3XFadULIwsmG0zvAO8cCE/JUsscljsDXzb/76OlgJouccCzEZFomHx9BSuxe32m9EOARBONSoisK/eHoAhXLGVIcV4srdfEVLTvVF2Fw1WVgtN/I73FMDYW7fLA/AmxyLMT1dYrA/xO3reWIxmL1TIBZXWLhfpG8ojFGyCIe2hUMvQiiusLlWLtvO6DIT5aZVV20hMAkNRjHXDNTOFEpY2SkeQP5KmshIP2qq7IYyMyUK1zeJnhtBTUUJH++i+y2PtPRZBkWEQxCEQ8+F43G+57Ee7jmsDIDJwRj37hXZ3AqSO0WjK6mSWTIplSyG+0Ncu1x2YQ31apgGjJ+KUchbjIxEMA3o6Cq7qFRX3lGkQyOzoKNGFNbvF1DCCmu38mgpldzdEpHxGOigRuKgQGmqRHS8F2CXeBTvbqJEUoSPbc96W7i+DmqKoXe/HqXGzMD7hQiHIAhHgre+qofhnnIsQlPhfF+MKzfzmFtuJKdohELlRaDWNwxUFdQtF9XI8TB3rpfdWZtr5ZHcYaWsFHaTbbmmNAnFVSwL4kNhjALERyJYOoRGy5ZDcRNQoDhVzrICyF8tELtQDoq7xcNYKVJaVoie7a9co/P1Z4hN7Fw//CAR4RAE4UgQi6j82NuG6U9pHI9FuHpne4pyp2gAjPfHmJopB9LPj8WYmS6/7oyWReDkyQhLcyVUFZamyq6sQrosJGZp5/A2LVpuRrVk+X8rWhaa9EKpHBSf04meK8cl8tcNQoPR8usrRaLjZcvCLR4UTQo3csQuDBObHKDv+x6lnRDhEAThyDA2GOVdr+1namF7Vly3aFwYLU8nAjDcH+L6lotqfCzCvdtlayO11fiPjEbIb5YD42sLW3GMnMvk2DJF9C09Sc+VRaiwbBA9XRaJzWWjPD2vDkokVh5mZykUZxVCg2Wx2CUeKOiLBsM/9hSK1l5NdXvVRhAEYY88cbGD739jH+BhaRyLcmVLKFQV1GLZRQWgbbX8HR0q07e2BGQryN07FMLYsjQKmZ1L1dr2x+Z6uaD8mkHsWNllZicHl5bNitVRmjIqLisrZ4IVQ91K8XWKh5oKc/z930aoezstt10Q4RAE4cjx1qd6+ME39u0QjYHuELP3S5WZcifHYsxsuasmz0aZ3XJXjY1EMLa0YWOxLAadneW0XFWFfGanxWEY5QIz8+UAOYDaUxaC9VsFQr3l15kpHWUrldfpstIXdcJDXZXWWF8uoaU6Of4z305kxH9p2INEhEMQhCPJW57u4fv+UdnySEQV2ITclpvp2ECIq5e2LA+lPLDPfr2y5WrqHwixvlQWDm0rkyrZqe2awa9UKG+wA+QAm+vbVom6tc1Im4RPb43BsF1WWy1w4XaR2PlyXbWuMEPveYjYeHczHkNLEOEQBOHI8rZnenjPu4Y40RVlcbksAqoKFJSKVfHQRIylrfjF+HiUjdXyjoH+7QVSbfdUPLm7ySw4Yh52gDwzXSLcvWV13C+ihMvKk7ldRO0oby9NGcTOd1XOzV8ukPy2QUb+4+NET7WnpWEjwiEIwpHm6Vd18EPv6Ke/rywE50/GmN1yUUXC2xYGgOYIXxSzW2tuqLA2vzX3VWx3k2lbKwCGcwT7cNnS0DNmJUhu5iE0Et0+97pBaKj8PvltPQy9+zzhwYMfGV4LEQ5BEI48Z07H+MUPjPLG13VWBvoBXDgbY2N928KYuVsOiieTCov3y5lZfY7AeDi8e9bxUt5C24pt2AFygGJxW0Vym9tWSfpaAa13y5rRQUsmGPiRMY79+BnUeHsM8KuFCIcgCA8EyYTG//qDg/zETxxjcDBEMqEwc3c7bXdoIFQJnB8/Ea28tgPjUJlKaheRrRlz0ws66pa4rN8roG6l9WamikS2Mq0sQ0HtLw8OTL46xfD7TtL1HQNNu8/9IFT7EEEQhKPD448neeSRBJ//3AZ/+kfLQNllNe8QEc2xiqDmNDJcQzhswgmVHOVR5fHjYbJTRUwd4qciZG+UrRirU4PZslusZMLxnxsl8XCyqfe2X4hwCILwwBEOK3zHG7p48ukO/vqFDW5dznH5K1mgPB3J4tS2iBSy22phFL0XRbUtCwAttW2WGA7VWbuTZ/hVCfre2E3q0UTT7uUgEOEQBOGBJRpTecM/6sZ6cxfXX87xlc+n2VgsMXN5O1V3fX47eK7nvU0OxTFjrjNAvjFTpGskTN8THQw83UFsMNyaG9lnRDgEQXjgURSFiUcSTDySwDAspq7nufXNHCszRWZfzqEXywF0p/XhxNYKRQUrrHDsqQ66J2P0PpIgMXQ0xMKJYlneptcWVXcKgiA8COQzBmuLJfKrOoWMiV4sr8uhmBahmEqiO0SiWyM5GEYN7c68OkQEqrwIhyAIgmATSDgkHVcQBEGoCxEOQRAEoS5EOARBEIS6EOEQBOGB5zd/8zd59NFH6ezspLOzkyeeeIJPfvKTDZX17ne/mx/7sR/j2Wef5dWvfjWdnZ0MDAzw1re+lZdffrnJNT8YRDgEQXjgGRkZ4Rd/8Rf5+7//e7761a/yHd/xHbz97W/npZdeqqscy7L40z/9U97+9rfzuc99jh/90R/li1/8Ii+88AKhUIjv/M7vZGVlpUV3sX9IVpUgCIIHvb29PPvss/yrf/WvePjhh7l06ZLncR/4wAf44Ac/CMCXv/xl3vzmNzM/P08otHOYXCaToauri+eff563vvWtra5+o0hWlSAIQr0YhsHHP/5xMpkMr3nNawB47rnnAPjUpz7F7OwsMzMzJBIJfvd3f5ef/umfrpz7/PPP85a3vGWXaACk02lM06Snp2d/bqSFiHAIgiAA3/jGN0ilUkSjUd797nfz3HPP8cgjjwAwPz+Poig8/fTTDA8Pk81m2dzc5KmnniIe314/4xOf+ARvf/vbPct/73vfy2OPPcYTTzyxH7fTUmTKEUEQBOD8+fO8+OKLrK+v88d//Mf883/+z/nc5z7HxYsX+frXv874+DipVAqAF198kUQiwdmzZyvn37hxg1u3bvGmN71pV9nve9/7+MIXvsAXvvAFNO1wrLlRDREOQRAEIBKJVITgla98JV/5ylf41V/9VX73d3+Xl156iUcffbRy7IsvvsjFixdR1W2nzfPPP88zzzxDMrlzqvQf//Ef5+Mf/zif/exnGR8f35+baTHiqhIEQfDANE0KhfJaGi+99BKveMUrKvtefPHFHe/B20313ve+l4997GO88MILTE5OtrzO+4UIhyAIDzzvf//7+fznP8+dO3f4xje+wb/7d/+Oz33uc7zrXe/CNE1efvnlHRbHzZs3GRsbq7xfXFzkS1/60o5sqfe85z185CMf4aMf/Sg9PT3Mzc0xNzdHJpPZ13trBSIcgiA88MzNzfEDP/ADnD9/nmeeeYavfOUrfPrTn+bNb34zN2/eJJvN7hCORx55hA996EN8+tOfBuDP/uzPePWrX83Q0FDlmA9/+MOk02meeeYZjh07Vvn7lV/5lX2/v2Yj4zgEQRD2yNve9jaefPJJfuqnfuqgq7JXZByHIAjCfvDkk0/yzne+86CrsW+IxSEIgiDYiMUhCIIgNB8RDkEQBKEuRDgEQRCEuhDhEARBEOpChEMQBEGoi1pzVQWKsAuCIAgPDmJxCIIgCHUhwiEIgiDUhQiHIAiCUBciHIIgCEJdiHAIgiAIdSHCIQiCINTF/x9YgD8kG/YwywAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def x_to_z(circuit, qubit_indices):\n",
" '''Return a new circuit with a basis change attached to the qubits in `qubit_indices`. '''\n",
" num_qubits, num_clbits = circuit.num_qubits, circuit.num_clbits\n",
" if not num_clbits:\n",
" extension = QuantumCircuit(num_qubits)\n",
" else:\n",
" extension = QuantumCircuit(num_qubits, num_clbits)\n",
" \n",
" extension.h(qubit_indices)\n",
" return circuit + extension\n",
"\n",
"import random\n",
"hadamard_basis_circuits = [hadamard_circuit_00, hadamard_circuit_01, hadamard_circuit_10, hadamard_circuit_11]\n",
"random_basis = random.choice(hadamard_basis_circuits)\n",
"random_pick_in_x_basis = x_to_z(random_basis, [0,1])\n",
"plot_state_qsphere(qi.Statevector.from_instruction(random_pick_in_x_basis))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 327.252x144.48 with 1 Axes>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"random_pick_in_x_basis.draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Changing the amplitude distribution in the $Z$ basis is equivalent to change the phase distribution in the $X$ basis."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"change_amplitude_circuit = QuantumCircuit(2)\n",
"change_amplitude_circuit.x(1)\n",
"change_amplitude_circuit.barrier()\n",
"change_amplitude_circuit.h([0, 1])\n",
"change_amplitude_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(change_amplitude_circuit))"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.052x144.48 with 1 Axes>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"change_phase_circuit = QuantumCircuit(2)\n",
"change_phase_circuit.h([0, 1])\n",
"change_phase_circuit.barrier()\n",
"change_phase_circuit.z(1)\n",
"change_phase_circuit.draw()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_state_qsphere(qi.Statevector.from_instruction(change_phase_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Deutsch-Jozsa\n",
"Determine if a hidden Boolean function is constant or balanced. The function is promised to be one of these."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 267.197x264.88 with 1 Axes>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import random\n",
"def flip_coin():\n",
" return bool(random.randrange(2))\n",
"\n",
"def get_dj_orcale(num_inputs):\n",
" '''Return an amplitude oracle for a constant/balanced function, randomly.'''\n",
" n = num_inputs + 1\n",
" circuit = QuantumCircuit(n, name='DJ Function')\n",
" is_constant = flip_coin()\n",
" if is_constant:\n",
" is_zero = flip_coin()\n",
" if not is_zero:\n",
" circuit.x(n-1)\n",
"\n",
" if not is_constant:\n",
" for idx in range(n-1):\n",
" is_contributing_to_result = flip_coin()\n",
" if is_contributing_to_result:\n",
" is_negated = flip_coin()\n",
" \n",
" if is_negated:\n",
" circuit.x(idx)\n",
" \n",
" circuit.cx(idx, n-1)\n",
" \n",
" if is_negated:\n",
" circuit.x(idx)\n",
"\n",
" return circuit.to_gate()\n",
"\n",
"n = 2\n",
"random_dj_oracle = get_dj_orcale(n)\n",
"dj_circuit = QuantumCircuit(n + 1, n)\n",
"dj_circuit.append(random_dj_oracle, range(n+1))\n",
"dj_circuit = dj_circuit.decompose()\n",
"dj_circuit.draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By feeding an homogenoues **superposition** in the inputs we can observe the values where the function has a valid value."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def superposition(circuit, qubit_indices):\n",
" '''Return a new circuit feeding an homogeneous superposition to the `circuit` at `qubit_indices`. '''\n",
" num_qubits, num_clbits = circuit.num_qubits, circuit.num_clbits\n",
" if not num_clbits:\n",
" extension = QuantumCircuit(num_qubits)\n",
" else:\n",
" extension = QuantumCircuit(num_qubits, num_clbits)\n",
" \n",
" extension.h(qubit_indices)\n",
" return extension + circuit\n",
"\n",
"dj_circuit = superposition(dj_circuit, range(n))\n",
"plot_state_qsphere(qi.Statevector.from_instruction(dj_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The **kick-back** trick introduces a phase difference of $180°$ between the valid and invalid solution. Only when there are CNOT gates in the oracle!"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"initialized_dj_circuit = phase_kick_back(dj_circuit, n)\n",
"plot_state_qsphere(qi.Statevector.from_instruction(initialized_dj_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Upon the base change, only in the absence of CNOT gates, it will map to the $|0\\rangle$ state."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"finalized_dj_circuit = x_to_z(initialized_dj_circuit, range(n))\n",
"plot_state_qsphere(qi.Statevector.from_instruction(finalized_dj_circuit))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 568.197x264.88 with 1 Axes>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dj_circuit_with_measurement = finalized_dj_circuit.copy()\n",
"dj_circuit_with_measurement.barrier()\n",
"dj_circuit_with_measurement.measure(range(n), range(n))\n",
"dj_circuit_with_measurement.draw()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit import BasicAer\n",
"backend = BasicAer.get_backend('qasm_simulator')\n",
"result = execute(dj_circuit_with_measurement, backend=backend).result()\n",
"plot_histogram(result.get_counts())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bernstein-Vazirani\n",
"Given a function computing the dot product (mod 2) of the input and a hidden bit-string, guess the hidden bit-string."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 206.997x325.08 with 1 Axes>"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def get_bv_oracle(num_inputs):\n",
" '''Return an amplitude oracle for a dot product (mod 2) function, random.'''\n",
" n = num_inputs + 1\n",
" circuit = QuantumCircuit(n)\n",
" secret_bitstring = bin(random.randrange(2**num_inputs))[2:].zfill(num_inputs)\n",
" for idx, a_bit in enumerate(reversed(secret_bitstring)):\n",
" if a_bit == '1':\n",
" circuit.cx(idx, n-1)\n",
" gate = circuit.to_gate()\n",
" gate._secret_bitstring = secret_bitstring\n",
" return gate\n",
"\n",
"n = 3\n",
"random_bv_oracle = get_bv_oracle(n)\n",
"bv_circuit = QuantumCircuit(n + 1, n + 1)\n",
"bv_circuit.append(random_bv_oracle, range(n+1))\n",
"bv_circuit = bv_circuit.decompose()\n",
"bv_circuit.draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Superposition**:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bv_circuit_with_superposition = superposition(bv_circuit, range(n))\n",
"plot_state_qsphere(qi.Statevector.from_instruction(bv_circuit_with_superposition))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Phase kick-back**:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"initialized_bv_circuit = phase_kick_back(bv_circuit_with_superposition, n)\n",
"plot_state_qsphere(qi.Statevector.from_instruction(initialized_bv_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Basis change**:"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x504 with 2 Axes>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"finalized_bv_circuit = x_to_z(initialized_bv_circuit, range(n))\n",
"plot_state_qsphere(qi.Statevector.from_instruction(finalized_bv_circuit))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Measurement**:"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 628.397x325.08 with 1 Axes>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bv_circuit_with_measurement = finalized_bv_circuit.copy()\n",
"bv_circuit_with_measurement.barrier()\n",
"bv_circuit_with_measurement.measure(range(n), range(n))\n",
"bv_circuit_with_measurement.draw()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"result = execute(bv_circuit_with_measurement, backend=backend).result()\n",
"plot_histogram(result.get_counts())"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'110'"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"random_bv_oracle._secret_bitstring"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Grover\n",
"What number is `101`, after a left rotation?"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment