{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "

Quantum Annealing via D-Wave

\n", " David E. Bernal Neira\n", "
\n", " Davidson School of Chemical Engineering, Purdue University\n", "
\n", "
\n", " Pedro Maciel Xavier\n", "
\n", " Davidson School of Chemical Engineering, Purdue University\n", "
\n", " Computer Science & Systems Engineering Program, Federal University of Rio de Janeiro\n", "
\n", "
\n", " Benjamin J. L. Murray\n", "
\n", " Davidson School of Chemical Engineering, Purdue University\n", "
\n", " Undergraduate Research Assistant\n", "
\n", "
\n", " \n", " \"Open\n", " \n", " \n", " \"SECQUOIA\"/\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantum Annealing via D-Wave\n", "This notebook will give the first interaction with D-Wave's Quantum Annealer. It will use the QUBO modeling problem introduced earlier and will define it using D-Wave's package **[dimod](https://github.com/dwavesystems/dimod)**, and then solve them using **[neal](https://github.com/dwavesystems/dwave-neal)**'s implementation of simulated annealing classicaly and D-Wave system package to use Quantum Annealing.\n", "We will also leverage the use of **[Networkx](https://networkx.github.io/)** for network models/graphs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Problem statement\n", "We define a QUBO as the following optimization problem:\n", "\n", "$$\n", "\\min_{x \\in \\{0,1 \\}^n} \\sum_{(ij) \\in E(G)} Q_{ij}x_i x_j + \\sum_{i \\in V(G)}Q_{ii}x_i + c_Q = \\min_{x \\in \\{0,1 \\}^n} x^\\top Q x + c_Q\n", "$$\n", "\n", "where we optimize over binary variables $x \\in \\{ 0,1 \\}^n$, on a constrained graph $G(V,E)$ defined by an adjacency matrix $Q$. We also include an arbitrary offset $c_Q$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example\n", "Suppose we want to solve the following problem via QUBO\n", "\n", "$$\n", "\\min_{\\mathbf{x}} 2𝑥_0+4𝑥_1+4𝑥_2+4𝑥_3+4𝑥_4+4𝑥_5+5𝑥_6+4𝑥_7+5𝑥_8+6𝑥_9+5𝑥_{10} \\\\\n", "s.t. \\begin{bmatrix}\n", "1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1\\\\\n", "0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1\\\\\n", "0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 1\n", "\\end{bmatrix}\\mathbf{x}=\n", "\\begin{bmatrix}\n", "1\\\\\n", "1\\\\\n", "1\n", "\\end{bmatrix} \\\\\n", "\\mathbf{x} \\in \\{0,1 \\}^{11}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# If using this on Google collab, we need to install the packages\n", "try:\n", " import google.colab\n", " IN_COLAB = True\n", "except:\n", " IN_COLAB = False\n", "\n", "if IN_COLAB:\n", " !pip install dwave-ocean-sdk" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Import the Dwave packages dimod and neal\n", "import dimod\n", "import neal\n", "# Import Matplotlib to generate plots\n", "import matplotlib.pyplot as plt\n", "# Import numpy and scipy for certain numerical calculations below\n", "import numpy as np\n", "from scipy.special import gamma\n", "import math\n", "from collections import Counter\n", "import pandas as pd\n", "from itertools import chain\n", "import time\n", "import networkx as nx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we would write this problem as a an unconstrained one by penalizing the linear constraints as quadratics in the objective. Let's first define the problem parameters" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "A = np.array([[1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1],\n", " [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1],\n", " [0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1]])\n", "b = np.array([1, 1, 1])\n", "c = np.array([2, 4, 4, 4, 4, 4, 5, 4, 5,6, 5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to define the $Q$ matrix, we write the problem\n", "\n", "$$\n", "\\min_{\\mathbf{x}} \\mathbf{c}^\\top \\mathbf{x}\\\\\n", "s.t. \\mathbf{A}\\mathbf{x}=\\mathbf{b} \\\\\n", "\\mathbf{x} \\in \\{0,1 \\}^{11}\n", "$$\n", "\n", "as follows:\n", "\n", "$$\n", "\\min_{\\mathbf{x}} \\mathbf{c}^\\top \\mathbf{x} + \\rho(\\mathbf{A}\\mathbf{x}-\\mathbf{b})^\\top (\\mathbf{A}\\mathbf{x}-\\mathbf{b}) \\\\\n", "\\mathbf{x} \\in \\{0,1 \\}^{11}\n", "$$\n", "\n", "Exploting the fact that $x^2=x$ for $x \\in \\{0,1\\}$, we can make the linear terms appear in the diagonal of the $Q$ matrix.\n", "\n", "$$\n", "\\rho(\\mathbf{A}\\mathbf{x}-\\mathbf{b})^\\top (\\mathbf{A}\\mathbf{x}-\\mathbf{b}) = \\rho( \\mathbf{x}^\\top (\\mathbf{A}^\\top \\mathbf{A}) \\mathbf{x} - 2\\mathbf{b}^\\top \\mathbf{A} \\mathbf{x} + \\mathbf{b}^\\top \\mathbf{b} )\n", "$$\n", "\n", "For this problem in particular, one can prove the the penalization factor is given by $\\rho > \\sum_{i=1}^n |c_i|$, therefore we choose this bound + 1." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ -46 0 0 48 48 48 0 48 48 48 48]\n", " [ 0 -44 0 48 0 48 48 0 48 48 48]\n", " [ 0 0 -44 0 48 0 48 48 48 48 48]\n", " [ 48 48 0 -92 48 96 48 48 96 96 96]\n", " [ 48 0 48 48 -92 48 48 96 96 96 96]\n", " [ 48 48 0 96 48 -92 48 48 96 96 96]\n", " [ 0 48 48 48 48 48 -91 48 96 96 96]\n", " [ 48 0 48 48 96 48 48 -92 96 96 96]\n", " [ 48 48 48 96 96 96 96 96 -139 144 144]\n", " [ 48 48 48 96 96 96 96 96 144 -138 144]\n", " [ 48 48 48 96 96 96 96 96 144 144 -139]]\n", "144\n" ] } ], "source": [ "epsilon = 1\n", "rho = np.sum(np.abs(c)) + epsilon\n", "Q = rho*np.matmul(A.T,A)\n", "Q += np.diag(c)\n", "Q -= rho*2*np.diag(np.matmul(b.T,A))\n", "cQ = rho*np.matmul(b.T,b)\n", "print(Q)\n", "print(cQ)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the graph that defines this instance using the Q matrix as the adjacency matrix of a graph." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.from_numpy_array(Q)\n", "nx.draw(G, with_labels=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define a QUBO model and then solve it via simulated annealing." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "model = dimod.BinaryQuadraticModel.from_qubo(Q, offset=cQ)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def plot_enumerate(results, title=None):\n", "\n", " plt.figure()\n", "\n", " energies = [datum.energy for datum in results.data(\n", " ['energy'], sorted_by=None)]\n", " \n", " if results.vartype == 'Vartype.BINARY':\n", " samples = [''.join(c for c in str(datum.sample.values()).strip(\n", " ', ') if c.isdigit()) for datum in results.data(['sample'], sorted_by=None)]\n", " plt.xlabel('bitstring for solution')\n", " else:\n", " samples = np.arange(len(energies))\n", " plt.xlabel('solution')\n", "\n", " plt.bar(samples,energies)\n", " plt.xticks(rotation=90)\n", " plt.ylabel('Energy')\n", " plt.title(str(title))\n", " print(\"minimum energy:\", min(energies))\n", "\n", "\n", "def plot_energies(results, title=None):\n", " energies = results.data_vectors['energy']\n", " occurrences = results.data_vectors['num_occurrences']\n", " counts = Counter(energies)\n", " total = sum(occurrences)\n", " counts = {}\n", " for index, energy in enumerate(energies):\n", " if energy in counts.keys():\n", " counts[energy] += occurrences[index]\n", " else:\n", " counts[energy] = occurrences[index]\n", " for key in counts:\n", " counts[key] /= total\n", " df = pd.DataFrame.from_dict(counts, orient='index').sort_index()\n", " df.plot(kind='bar', legend=None)\n", "\n", " plt.xlabel('Energy')\n", " plt.ylabel('Probabilities')\n", " plt.title(str(title))\n", " plt.show()\n", " print(\"minimum energy:\", min(energies))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now solve this problem using Simulated Annealing" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "simAnnSampler = neal.SimulatedAnnealingSampler()\n", "simAnnSamples = simAnnSampler.sample(model, num_reads=1000)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "minimum energy: 5.0\n" ] }, { "data": { "image/png": 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", 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t90PuzJkzj60TALZs2YJevXrhs88+02vPzc2Fg4NDhcaoKi8vLxw7dgy9e/d+5J20KzOf1cnd3R179uwpc1n0w1e91RZ3d3dotVqcO3dO76jPw1/r0ivESkpKHrv/GFLR/eJJvk+qevf0tLQ09OrVS/f89u3buHbtGp577jkA96+YysnJwdatW9GzZ09dvwsXLlT4NapjjIqozNfqUT8rAMDW1rbKX+8Hx5oxYwZmzJiBtLQ0+Pn54YMPPsAXX3zxROPKHc8Bokrbs2dPuX8Vl77XX9G3earC3d0dpqamunNtSq1cufKx65b+1fdg7Xl5eVizZk2ZvlZWVuVesj5ixAikpqZix44dZZbl5ubi3r17AIDnnnsO9+7d07skvKSkpMJ3yjY1NS0zx5s3b8aVK1cqtP6TGDFiBK5cuYJVq1aVWXbnzh0UFBToagQqNp/VSa1W4++//9arT6vVYsWKFTX6uoaUXiG2bNkyvfaHP7rC1NQUQ4cOxddff40//vijzDhZWVmPfa2K7helv3wf/D4pKSkx+HbOg0pDZUVv2VDq008/xd9//617npCQgHv37unmp7z9pbi4uELfu6WqY4yKvk5Fv1al9+p5eL78/f3h5eWFpUuX4vbt248cw5DCwkLcvXtXr83Lyws2NjZlbklBlccjQFRp06ZNQ2FhIYYMGQIfHx8UFxdj37592LhxIzw8PMo9cbG6qFQqDB8+HJ988gkUCgW8vLzwww8/PPb9eADo27cvzMzMMGDAAEyaNAm3b9/GqlWr4OjoWOaolb+/PxISEvDuu+/C29sbjo6OePbZZ/Hmm2/iu+++w/PPP49x48bB398fBQUFOHHiBLZs2YKLFy/CwcEBAwYMwNNPP43Zs2fj4sWL8PX1xdatWyt8YvDzzz+PBQsWICIiAt26dcOJEyfw5Zdfonnz5lWat8oYO3YsNm3ahFdeeQV79uzB008/jZKSEpw+fRqbNm3Cjh07EBAQUKn5rE6DBw9Gly5dMGPGDJw9exY+Pj747rvvcOPGDQBVP4JRVX5+fhg9ejRWrlyJvLw8dOvWDcnJyeUekYqLi8OePXsQGBiICRMmwNfXFzdu3MCRI0ewa9cu3TYYUtH9ok2bNujatSuioqJw48YNNGrUCBs2bNAF9EexsLCAr68vNm7ciJYtW6JRo0Zo27btY295UVxcjN69e2PEiBE4c+YMVq5cie7du2PgwIEA7l8abm9vj/DwcLz22mtQKBRYv359pd5irI4xKqqiXysvLy/Y2dkhMTERNjY2sLKyQmBgIDw9PfHvf/8b/fr1Q5s2bRAREYGmTZviypUr2LNnD2xtbfH9998/soa//vpLN6e+vr5o0KABvvnmG2RmZuqd3E1VVMtXnVE98NNPP4mXX35Z+Pj4CGtra2FmZia8vb3FtGnTRGZmpl5fQ5fBHzp0SK9f6WWgWVlZeu3h4eHCyspKry0rK0sMHTpUWFpaCnt7ezFp0iTxxx9/VOgy+O+++060b99emJubCw8PD7Fo0SKxevXqMpcMazQa0b9/f2FjYyMA6F3CfevWLREVFSW8vb2FmZmZcHBwEN26dRNLly7Vuww4JydHjB07Vtja2gqVSiXGjh0r/ve//1X4MvgZM2YIFxcXYWFhIZ5++mmRmppa5nLy0suaN2/erLd+eZeZBwcHizZt2pR5rYcvgxZCiOLiYrFo0SLRpk0boVQqhb29vfD39xfz588XeXl5lZ7Pil4G//DXWojyv45ZWVnixRdfFDY2NkKlUolx48aJvXv3CgBiw4YN5czoPwxdBl/RuSnPnTt3xGuvvSYaN24srKysxIABA0RGRka5l5NnZmaKKVOmCDc3N9GwYUPh7OwsevfuLT799FO9fjBwGXxF9gshhDh37pwICQkRSqVSODk5iTlz5oidO3c+9jJ4IYTYt2+f8Pf3F2ZmZo+9JL70e/qXX34REydOFPb29sLa2lqMGTNG5OTk6PXdu3ev6Nq1q7CwsBCurq66W2hU9OtRHWO4u7uL/v37l2kvb74r+rX69ttvha+vr2jQoEGZ/fp///ufeOGFF0Tjxo2FUqkU7u7uYsSIESI5OVnXx9DPv+zsbDFlyhTh4+MjrKyshEqlEoGBgWLTpk3lzg1VjkKIGojORES1bNu2bRgyZAh+++03PP3001KXIxuff/45IiIicOjQId15gER1Ac8BIqI6586dO3rPS8+vsrW1RadOnSSqiojqEp4DRER1zrRp03Dnzh0EBQWhqKgIW7duxb59+/D++++XeykxEdHDGICIqM559tln8cEHH+CHH37A3bt34e3tjU8++QRTp06VujQiqiN4DhARERHJDs8BIiIiItnhW2Dl0Gq1uHr1KmxsbGr9niJERERUNUII3Lp1C66urroPDjaEAagcV69eLfNheURERFQ3ZGRkoFmzZo/swwBUDhsbGwD3J9DW1lbiaoiIiKgi8vPz4ebmpvs9/igMQOUofdvL1taWAYiIiKiOqcjpKzwJmoiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZKeB1AUQEVWUx+wfpS5Bz8W4/lKXQERVxCNAREREJDsMQERERCQ7DEBEREQkO0YRgFasWAEPDw+Ym5sjMDAQBw8erNB6GzZsgEKhwODBg/XahRCIjo6Gi4sLLCwsEBISgrS0tBqonIiIiOoiyQPQxo0bERkZiZiYGBw5cgQdOnSAWq3G9evXH7nexYsXMXPmTPTo0aPMssWLF2PZsmVITEzEgQMHYGVlBbVajbt379bUZhAREVEdInkA+vDDDzFhwgRERETA19cXiYmJsLS0xOrVqw2uU1JSgjFjxmD+/Plo3ry53jIhBOLj4/HOO+9g0KBBaN++PdatW4erV69i27ZtNbw1REREVBdIGoCKi4tx+PBhhISE6NpMTEwQEhKC1NRUg+stWLAAjo6OGD9+fJllFy5cgEaj0RtTpVIhMDDQ4JhFRUXIz8/XexAREVH9JWkAys7ORklJCZycnPTanZycoNFoyl3nt99+w2effYZVq1aVu7x0vcqMGRsbC5VKpXu4ublVdlOIiIioDpH8LbDKuHXrFsaOHYtVq1bBwcGh2saNiopCXl6e7pGRkVFtYxMREZHxkfRO0A4ODjA1NUVmZqZee2ZmJpydncv0P3fuHC5evIgBAwbo2rRaLQCgQYMGOHPmjG69zMxMuLi46I3p5+dXbh1KpRJKpfJJN4eIiIjqCEmPAJmZmcHf3x/Jycm6Nq1Wi+TkZAQFBZXp7+PjgxMnTuDo0aO6x8CBA9GrVy8cPXoUbm5u8PT0hLOzs96Y+fn5OHDgQLljEhERkfxI/llgkZGRCA8PR0BAALp06YL4+HgUFBQgIiICABAWFoamTZsiNjYW5ubmaNu2rd76dnZ2AKDXPn36dLz77rto0aIFPD09MXfuXLi6upa5XxARERHJk+QBaOTIkcjKykJ0dDQ0Gg38/PyQlJSkO4k5PT0dJiaVO1A1a9YsFBQUYOLEicjNzUX37t2RlJQEc3PzmtgEIiIiqmMUQgghdRHGJj8/HyqVCnl5ebC1tZW6HCL6P/w0eCJ6lMr8/q5TV4ERERERVQcGICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdowhAK1asgIeHB8zNzREYGIiDBw8a7Lt161YEBATAzs4OVlZW8PPzw/r16/X6jBs3DgqFQu8RGhpa05tBREREdUQDqQvYuHEjIiMjkZiYiMDAQMTHx0OtVuPMmTNwdHQs079Ro0Z4++234ePjAzMzM/zwww+IiIiAo6Mj1Gq1rl9oaCjWrFmje65UKmtle4iIiMj4SX4E6MMPP8SECRMQEREBX19fJCYmwtLSEqtXry63/zPPPIMhQ4agdevW8PLywuuvv4727dvjt99+0+unVCrh7Oyse9jb29fG5hAREVEdIGkAKi4uxuHDhxESEqJrMzExQUhICFJTUx+7vhACycnJOHPmDHr27Km3LCUlBY6OjmjVqhUmT56MnJwcg+MUFRUhPz9f70FERET1l6RvgWVnZ6OkpAROTk567U5OTjh9+rTB9fLy8tC0aVMUFRXB1NQUK1euRJ8+fXTLQ0ND8cILL8DT0xPnzp3DnDlz0K9fP6SmpsLU1LTMeLGxsZg/f371bRgREREZNcnPAaoKGxsbHD16FLdv30ZycjIiIyPRvHlzPPPMMwCAUaNG6fq2a9cO7du3h5eXF1JSUtC7d+8y40VFRSEyMlL3PD8/H25ubjW+HURERCQNSQOQg4MDTE1NkZmZqdeemZkJZ2dng+uZmJjA29sbAODn54dTp04hNjZWF4Ae1rx5czg4OODs2bPlBiClUsmTpImIiGRE0nOAzMzM4O/vj+TkZF2bVqtFcnIygoKCKjyOVqtFUVGRweWXL19GTk4OXFxcnqheIiIiqh8kfwssMjIS4eHhCAgIQJcuXRAfH4+CggJEREQAAMLCwtC0aVPExsYCuH++TkBAALy8vFBUVITt27dj/fr1SEhIAADcvn0b8+fPx9ChQ+Hs7Ixz585h1qxZ8Pb21rtMnoiIiORL8gA0cuRIZGVlITo6GhqNBn5+fkhKStKdGJ2eng4Tk38OVBUUFODVV1/F5cuXYWFhAR8fH3zxxRcYOXIkAMDU1BTHjx/H2rVrkZubC1dXV/Tt2xcLFy7k21xEREQEAFAIIYTURRib/Px8qFQq5OXlwdbWVupyiOj/eMz+UeoS9FyM6y91CUT0gMr8/pb8RohEREREtY0BiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGTHKALQihUr4OHhAXNzcwQGBuLgwYMG+27duhUBAQGws7ODlZUV/Pz8sH79er0+QghER0fDxcUFFhYWCAkJQVpaWk1vBhEREdURkgegjRs3IjIyEjExMThy5Ag6dOgAtVqN69evl9u/UaNGePvtt5Gamorjx48jIiICERER2LFjh67P4sWLsWzZMiQmJuLAgQOwsrKCWq3G3bt3a2uziIiIyIgphBBCygICAwPRuXNnLF++HACg1Wrh5uaGadOmYfbs2RUao1OnTujfvz8WLlwIIQRcXV0xY8YMzJw5EwCQl5cHJycnfP755xg1atRjx8vPz4dKpUJeXh5sbW2rvnFEVK08Zv8odQl6Lsb1l7oEInpAZX5/S3oEqLi4GIcPH0ZISIiuzcTEBCEhIUhNTX3s+kIIJCcn48yZM+jZsycA4MKFC9BoNHpjqlQqBAYGGhyzqKgI+fn5eg8iIiKqvyQNQNnZ2SgpKYGTk5Neu5OTEzQajcH18vLyYG1tDTMzM/Tv3x+ffPIJ+vTpAwC69SozZmxsLFQqle7h5ub2JJtFRERERk7yc4CqwsbGBkePHsWhQ4fw3nvvITIyEikpKVUeLyoqCnl5ebpHRkZG9RVLRERERqeBlC/u4OAAU1NTZGZm6rVnZmbC2dnZ4HomJibw9vYGAPj5+eHUqVOIjY3FM888o1svMzMTLi4uemP6+fmVO55SqYRSqXzCrSEiIqK6QtIjQGZmZvD390dycrKuTavVIjk5GUFBQRUeR6vVoqioCADg6ekJZ2dnvTHz8/Nx4MCBSo1JRERE9ZekR4AAIDIyEuHh4QgICECXLl0QHx+PgoICREREAADCwsLQtGlTxMbGArh/vk5AQAC8vLxQVFSE7du3Y/369UhISAAAKBQKTJ8+He+++y5atGgBT09PzJ07F66urhg8eLBUm0lERERGRPIANHLkSGRlZSE6OhoajQZ+fn5ISkrSncScnp4OE5N/DlQVFBTg1VdfxeXLl2FhYQEfHx988cUXGDlypK7PrFmzUFBQgIkTJyI3Nxfdu3dHUlISzM3Na337iIiIyPhIfh8gY8T7ABEZJ94HiIgepc7cB4iIiIhICgxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkO1UKQHfu3EFhYaHu+aVLlxAfH4+ff/652gojIiIiqilVCkCDBg3CunXrAAC5ubkIDAzEBx98gEGDBiEhIaFaCyQiIiKqblUKQEeOHEGPHj0AAFu2bIGTkxMuXbqEdevWYdmyZdVaIBEREVF1q1IAKiwshI2NDQDg559/xgsvvAATExN07doVly5dqtYCiYiIiKpbg6qs5O3tjW3btmHIkCHYsWMH3njjDQDA9evXYWtrW+nxVqxYgSVLlkCj0aBDhw745JNP0KVLl3L7rlq1CuvWrcMff/wBAPD398f777+v13/cuHFYu3at3npqtRpJSUmVru1Jecz+sdZf05CLcf2lLoGIiMgoVOkIUHR0NGbOnAkPDw906dIFQUFBAO4fDerYsWOlxtq4cSMiIyMRExODI0eOoEOHDlCr1bh+/Xq5/VNSUjB69Gjs2bMHqampcHNzQ9++fXHlyhW9fqGhobh27Zru8Z///Kcqm0pERET1kEIIIaqyokajwbVr19ChQweYmNzPUQcPHoStrS18fHwqPE5gYCA6d+6M5cuXAwC0Wi3c3Nwwbdo0zJ49+7Hrl5SUwN7eHsuXL0dYWBiA+0eAcnNzsW3btspvGID8/HyoVCrk5eVV6YjWg3gEiKj6GNP3E8DvKSJjU5nf31W+D5CzszNsbGywc+dO3LlzBwDQuXPnSoWf4uJiHD58GCEhIf8UZGKCkJAQpKamVmiMwsJC/P3332jUqJFee0pKChwdHdGqVStMnjwZOTk5BscoKipCfn6+3oOIiIjqryoFoJycHPTu3RstW7bEc889h2vXrgEAxo8fjxkzZlR4nOzsbJSUlMDJyUmv3cnJCRqNpkJjvPXWW3B1ddULUaGhoVi3bh2Sk5OxaNEi/PLLL+jXrx9KSkrKHSM2NhYqlUr3cHNzq/A2EBERUd1TpQD0xhtvoGHDhkhPT4elpaWufeTIkbV6onFcXBw2bNiAb775Bubm5rr2UaNGYeDAgWjXrh0GDx6MH374AYcOHUJKSkq540RFRSEvL0/3yMjIqKUtICIiIilU6Sqwn3/+GTt27ECzZs302lu0aFGpy+AdHBxgamqKzMxMvfbMzEw4Ozs/ct2lS5ciLi4Ou3btQvv27R/Zt3nz5nBwcMDZs2fRu3fvMsuVSiWUSmWF6yYiIqK6rUpHgAoKCvSO/JS6ceNGpYKEmZkZ/P39kZycrGvTarVITk7WXVlWnsWLF2PhwoVISkpCQEDAY1/n8uXLyMnJgYuLS4VrIyIiovqrSgGoR48euo/CAACFQgGtVovFixejV69elRorMjISq1atwtq1a3Hq1ClMnjwZBQUFiIiIAACEhYUhKipK13/RokWYO3cuVq9eDQ8PD2g0Gmg0Gty+fRsAcPv2bbz55pvYv38/Ll68iOTkZAwaNAje3t5Qq9VV2VwiIiKqZ6r0FtjixYvRu3dv/P777yguLsasWbPw559/4saNG9i7d2+lxho5ciSysrIQHR0NjUYDPz8/JCUl6U6MTk9P111mDwAJCQkoLi7GsGHD9MaJiYnBvHnzYGpqiuPHj2Pt2rXIzc2Fq6sr+vbti4ULF/JtLiIiIgLwBPcBysvLw/Lly3Hs2DHcvn0bnTp1wpQpU+rF20y8DxCRcTKm7yeA31NExqYyv7+rdAQIAFQqFd5+++2qrk5EREQkmQoHoOPHj6Nt27YwMTHB8ePHH9n3cVdlEREREUmpwgHIz88PGo0Gjo6O8PPzg0KhQHnvnikUCoM3HCQiIiIyBhUOQBcuXECTJk10/yciIiKqqyocgNzd3XX/v3TpErp164YGDfRXv3fvHvbt26fXl4iIiMjYVOk+QL169cKNGzfKtOfl5VX6PkBEREREta1KAUgIAYVCUaY9JycHVlZWT1wUERERUU2q1GXwL7zwAoD7JzqPGzdO78aCJSUlOH78OLp161a9FRIRERFVs0oFIJVKBeD+ESAbGxtYWFjolpmZmaFr166YMGFC9VZIREREVM0qFYDWrFkDAPDw8MDMmTP5dhcRERHVSVW6E3RMTEx110FERERUayocgDp16oTk5GTY29ujY8eO5Z4EXerIkSPVUhwRERFRTahwABo0aJDupOfBgwfXVD1ERERENa7CAejBt734FhgRERHVZVW6DxARERFRXVbhI0D29vaPPO/nQeXdJZqIiIjIWFQ4AMXHx9dgGURERES1p8IBKDw8vCbrICIiIqo1FQ5A+fn5sLW11f3/UUr7ERERERmjSp0DdO3aNTg6OsLOzq7c84FKPyS1pKSkWoskIiIiqk4VDkC7d+9Go0aNAAB79uypsYKIiIiIalqFA1BwcHC5/yciIiKqa6r0WWAAcPPmTXz22Wc4deoUAMDX1xcRERG6o0RERERExqpKN0L89ddf4eHhgWXLluHmzZu4efMmli1bBk9PT/z666/VXSMRERFRtarSEaApU6Zg5MiRSEhIgKmpKQCgpKQEr776KqZMmYITJ05Ua5FERERE1alKR4DOnj2LGTNm6MIPAJiamiIyMhJnz56ttuKIiIiIakKVAlCnTp105/486NSpU+jQocMTF0VERERUkyr8Ftjx48d1/3/ttdfw+uuv4+zZs+jatSsAYP/+/VixYgXi4uKqv0oiIiKialThAOTn5weFQgEhhK5t1qxZZfq9+OKLGDlyZPVUR0RERFQDKhyALly4UJN1EBEREdWaCgcgd3f3mqyDiIiIqNZU+UaIAHDy5Emkp6ejuLhYr33gwIFPVBQRERFRTarSVWDnz59Hhw4d0LZtW/Tv3x+DBw/G4MGDMWTIEAwZMqTS461YsQIeHh4wNzdHYGAgDh48aLDvqlWr0KNHD9jb28Pe3h4hISFl+gshEB0dDRcXF1hYWCAkJARpaWmVrouIiIjqpyoFoNdffx2enp64fv06LC0t8eeff+LXX39FQEAAUlJSKjXWxo0bERkZiZiYGBw5cgQdOnSAWq3G9evXy+2fkpKC0aNHY8+ePUhNTYWbmxv69u2LK1eu6PosXrwYy5YtQ2JiIg4cOAArKyuo1WrcvXu3KptLRERE9YxCPHhZVwU5ODhg9+7daN++PVQqFQ4ePIhWrVph9+7dmDFjBv73v/9VeKzAwEB07twZy5cvBwBotVq4ublh2rRpmD179mPXLykpgb29PZYvX46wsDAIIeDq6ooZM2Zg5syZAIC8vDw4OTnh888/x6hRox47Zn5+PlQqFfLy8mBra1vhbSmPx+wfn2j96nQxrr/UJRA9EWP6fgL4PUVkbCrz+7tKR4BKSkpgY2MD4H4Yunr1KoD7J0qfOXOmwuMUFxfj8OHDCAkJ+acgExOEhIQgNTW1QmMUFhbi77//1n0I64ULF6DRaPTGVKlUCAwMNDhmUVER8vPz9R5ERERUf1UpALVt2xbHjh0DcP8IzuLFi7F3714sWLAAzZs3r/A42dnZKCkpgZOTk167k5MTNBpNhcZ466234Orqqgs8petVZszY2FioVCrdw83NrcLbQERERHVPlQLQO++8A61WCwBYsGABLly4gB49emD79u1YtmxZtRb4KHFxcdiwYQO++eYbmJubV3mcqKgo5OXl6R4ZGRnVWCUREREZmypdBq9Wq3X/9/b2xunTp3Hjxg3Y29tDoVBUeBwHBweYmpoiMzNTrz0zMxPOzs6PXHfp0qWIi4vDrl270L59e1176XqZmZlwcXHRG9PPz6/csZRKJZRKZYXrJiIiorqtSkeAHpSRkYGMjAw0atSoUuEHAMzMzODv74/k5GRdm1arRXJyMoKCggyut3jxYixcuBBJSUkICAjQW+bp6QlnZ2e9MfPz83HgwIFHjklERETyUaUAdO/ePcydOxcqlQoeHh7w8PCASqXCO++8g7///rtSY0VGRmLVqlVYu3YtTp06hcmTJ6OgoAAREREAgLCwMERFRen6L1q0CHPnzsXq1avh4eEBjUYDjUaD27dvAwAUCgWmT5+Od999F9999x1OnDiBsLAwuLq6YvDgwVXZXCIiIqpnqvQW2LRp07B161YsXrxYd1QlNTUV8+bNQ05ODhISEio81siRI5GVlYXo6GhoNBr4+fkhKSlJdxJzeno6TEz+yWkJCQkoLi7GsGHD9MaJiYnBvHnzANz/kNaCggJMnDgRubm56N69O5KSkp7oPCEiIiKqP6p0HyCVSoUNGzagX79+eu3bt2/H6NGjkZeXV20FSoH3ASIyTsb0/QTwe4rI2NT4fYCUSiU8PDzKtHt6esLMzKwqQxIRERHVmioFoKlTp2LhwoUoKirStRUVFeG9997D1KlTq604IiIioppQ4XOAXnjhBb3nu3btQrNmzdChQwcAwLFjx1BcXIzevXtXb4VERERE1azCAUilUuk9Hzp0qN5z3j2ZiIiI6ooKB6A1a9bUZB1EREREtaZKl8GXysrK0n34aatWrdCkSZNqKYqIiIioJlXpJOiCggK8/PLLcHFxQc+ePdGzZ0+4urpi/PjxKCwsrO4aiYiIiKpVlQJQZGQkfvnlF3z//ffIzc1Fbm4uvv32W/zyyy+YMWNGdddIREREVK2q9BbY119/jS1btuCZZ57RtT333HOwsLDAiBEjKnUnaCIiIqLaVqUjQIWFhbqPqniQo6Mj3wIjIiIio1elABQUFISYmBjcvXtX13bnzh3Mnz+fn7hORERERq9Kb4HFx8cjNDS0zI0Qzc3NsWPHjmotkIiIiKi6VSkAtWvXDmlpafjyyy9x+vRpAMDo0aMxZswYWFhYVGuBRERERNWt0gHo77//ho+PD3744QdMmDChJmoiIiIiqlGVPgeoYcOGeuf+EBEREdU1VToJesqUKVi0aBHu3btX3fUQERER1bgqnQN06NAhJCcn4+eff0a7du1gZWWlt3zr1q3VUhwRERFRTahSALKzsyvzafBEREREdUWlApBWq8WSJUvw119/obi4GM8++yzmzZvHK7+IiIioTqnUOUDvvfce5syZA2trazRt2hTLli3DlClTaqo2IiIiohpRqQC0bt06rFy5Ejt27MC2bdvw/fff48svv4RWq62p+oiIiIiqXaUCUHp6Op577jnd85CQECgUCly9erXaCyMiIiKqKZUKQPfu3YO5ubleW8OGDfH3339Xa1FERERENalSJ0ELITBu3DgolUpd2927d/HKK6/oXQrPy+CJiIjImFUqAIWHh5dpe+mll6qtGCIiIqLaUKkAtGbNmpqqg4iIiKjWVOmjMIiIiIjqMgYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdyQPQihUr4OHhAXNzcwQGBuLgwYMG+/75558YOnQoPDw8oFAoEB8fX6bPvHnzoFAo9B4+Pj41uAVERERU10gagDZu3IjIyEjExMTgyJEj6NChA9RqNa5fv15u/8LCQjRv3hxxcXFwdnY2OG6bNm1w7do13eO3336rqU0gIiKiOkjSAPThhx9iwoQJiIiIgK+vLxITE2FpaYnVq1eX279z585YsmQJRo0apfdxHA9r0KABnJ2ddQ8HB4ea2gQiIiKqgyQLQMXFxTh8+DBCQkL+KcbEBCEhIUhNTX2isdPS0uDq6ormzZtjzJgxSE9Pf2T/oqIi5Ofn6z2IiIio/pIsAGVnZ6OkpAROTk567U5OTtBoNFUeNzAwEJ9//jmSkpKQkJCACxcuoEePHrh165bBdWJjY6FSqXQPNze3Kr8+ERERGT/JT4Kubv369cPw4cPRvn17qNVqbN++Hbm5udi0aZPBdaKiopCXl6d7ZGRk1GLFREREVNsq9WGo1cnBwQGmpqbIzMzUa8/MzHzkCc6VZWdnh5YtW+Ls2bMG+yiVykeeU0RERET1i2RHgMzMzODv74/k5GRdm1arRXJyMoKCgqrtdW7fvo1z587BxcWl2sYkIiKiuk2yI0AAEBkZifDwcAQEBKBLly6Ij49HQUEBIiIiAABhYWFo2rQpYmNjAdw/cfrkyZO6/1+5cgVHjx6FtbU1vL29AQAzZ87EgAED4O7ujqtXryImJgampqYYPXq0NBtJRERERkfSADRy5EhkZWUhOjoaGo0Gfn5+SEpK0p0YnZ6eDhOTfw5SXb16FR07dtQ9X7p0KZYuXYrg4GCkpKQAAC5fvozRo0cjJycHTZo0Qffu3bF//340adKkVreNiIiIjJekAQgApk6diqlTp5a7rDTUlPLw8IAQ4pHjbdiwobpKIyIionqq3l0FRkRERPQ4DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDuSXwZPRPo8Zv8odQl6Lsb1l7oEIqJqxyNAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDsMQERERCQ7DEBEREQkOwxAREREJDuSB6AVK1bAw8MD5ubmCAwMxMGDBw32/fPPPzF06FB4eHhAoVAgPj7+icckIiIi+ZE0AG3cuBGRkZGIiYnBkSNH0KFDB6jValy/fr3c/oWFhWjevDni4uLg7OxcLWMSERGR/EgagD788ENMmDABERER8PX1RWJiIiwtLbF69epy+3fu3BlLlizBqFGjoFQqq2VMIiIikh/JAlBxcTEOHz6MkJCQf4oxMUFISAhSU1NrdcyioiLk5+frPYiIiKj+aiDVC2dnZ6OkpAROTk567U5OTjh9+nStjhkbG4v58+dX6TWp6jxm/yh1CToX4/pLXQIREdUiyU+CNgZRUVHIy8vTPTIyMqQuiYiIiGqQZEeAHBwcYGpqiszMTL32zMxMgyc419SYSqXS4DlFREREVP9IFoDMzMzg7++P5ORkDB48GACg1WqRnJyMqVOnGs2YRER1gTG9pQzwbWUyfpIFIACIjIxEeHg4AgIC0KVLF8THx6OgoAAREREAgLCwMDRt2hSxsbEA7p/kfPLkSd3/r1y5gqNHj8La2hre3t4VGpOIiIhI0gA0cuRIZGVlITo6GhqNBn5+fkhKStKdxJyeng4Tk39OU7p69So6duyoe7506VIsXboUwcHBSElJqdCYRERERJIGIACYOnWqwbenSkNNKQ8PDwghnmhMIiIiIl4FRkRERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESywwBEREREssMARERERLLDAERERESyYxQBaMWKFfDw8IC5uTkCAwNx8ODBR/bfvHkzfHx8YG5ujnbt2mH79u16y8eNGweFQqH3CA0NrclNICIiojpE8gC0ceNGREZGIiYmBkeOHEGHDh2gVqtx/fr1cvvv27cPo0ePxvjx4/G///0PgwcPxuDBg/HHH3/o9QsNDcW1a9d0j//85z+1sTlERERUB0gegD788ENMmDABERER8PX1RWJiIiwtLbF69epy+3/88ccIDQ3Fm2++idatW2PhwoXo1KkTli9frtdPqVTC2dlZ97C3t6+NzSEiIqI6QNIAVFxcjMOHDyMkJETXZmJigpCQEKSmppa7Tmpqql5/AFCr1WX6p6SkwNHREa1atcLkyZORk5NjsI6ioiLk5+frPYiIiKj+kjQAZWdno6SkBE5OTnrtTk5O0Gg05a6j0Wge2z80NBTr1q1DcnIyFi1ahF9++QX9+vVDSUlJuWPGxsZCpVLpHm5ubk+4ZURERGTMGkhdQE0YNWqU7v/t2rVD+/bt4eXlhZSUFPTu3btM/6ioKERGRuqe5+fnMwQRERHVY5IeAXJwcICpqSkyMzP12jMzM+Hs7FzuOs7OzpXqDwDNmzeHg4MDzp49W+5ypVIJW1tbvQcRERHVX5IGIDMzM/j7+yM5OVnXptVqkZycjKCgoHLXCQoK0usPADt37jTYHwAuX76MnJwcuLi4VE/hREREVKdJfhVYZGQkVq1ahbVr1+LUqVOYPHkyCgoKEBERAQAICwtDVFSUrv/rr7+OpKQkfPDBBzh9+jTmzZuH33//HVOnTgUA3L59G2+++Sb279+PixcvIjk5GYMGDYK3tzfUarUk20hERETGRfJzgEaOHImsrCxER0dDo9HAz88PSUlJuhOd09PTYWLyT07r1q0bvvrqK7zzzjuYM2cOWrRogW3btqFt27YAAFNTUxw/fhxr165Fbm4uXF1d0bdvXyxcuBBKpVKSbSQiIiLjInkAAoCpU6fqjuA8LCUlpUzb8OHDMXz48HL7W1hYYMeOHdVZHhEREdUzkr8FRkRERFTbGICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdhiAiIiISHYYgIiIiEh2GICIiIhIdowiAK1YsQIeHh4wNzdHYGAgDh48+Mj+mzdvho+PD8zNzdGuXTts375db7kQAtHR0XBxcYGFhQVCQkKQlpZWk5tAREREdUgDqQvYuHEjIiMjkZiYiMDAQMTHx0OtVuPMmTNwdHQs03/fvn0YPXo0YmNj8fzzz+Orr77C4MGDceTIEbRt2xYAsHjxYixbtgxr166Fp6cn5s6dC7VajZMnT8Lc3Ly2N5GIiCTkMftHqUvQuRjXX+oS6P9IHoA+/PBDTJgwAREREQCAxMRE/Pjjj1i9ejVmz55dpv/HH3+M0NBQvPnmmwCAhQsXYufOnVi+fDkSExMhhEB8fDzeeecdDBo0CACwbt06ODk5Ydu2bRg1alTtbRwREZERk3M4lDQAFRcX4/Dhw4iKitK1mZiYICQkBKmpqeWuk5qaisjISL02tVqNbdu2AQAuXLgAjUaDkJAQ3XKVSoXAwECkpqaWG4CKiopQVFSke56XlwcAyM/Pr/K2ldIWFT7xGNWlOranOnFuymdM8wJwbh6Fc2MY56Z8xjQvQP2bm9IxhBCP7StpAMrOzkZJSQmcnJz02p2cnHD69Oly19FoNOX212g0uuWlbYb6PCw2Nhbz588v0+7m5laxDakjVPFSV2C8ODeGcW4M49wYxrkpH+fFsOqcm1u3bkGlUj2yj+RvgRmDqKgovaNKWq0WN27cQOPGjaFQKCSs7H6adXNzQ0ZGBmxtbSWtxdhwbgzj3BjGuTGMc2MY58YwY5obIQRu3boFV1fXx/aVNAA5ODjA1NQUmZmZeu2ZmZlwdnYudx1nZ+dH9i/9NzMzEy4uLnp9/Pz8yh1TqVRCqVTqtdnZ2VVmU2qcra2t5DuWseLcGMa5MYxzYxjnxjDOjWHGMjePO/JTStLL4M3MzODv74/k5GRdm1arRXJyMoKCgspdJygoSK8/AOzcuVPX39PTE87Oznp98vPzceDAAYNjEhERkbxI/hZYZGQkwsPDERAQgC5duiA+Ph4FBQW6q8LCwsLQtGlTxMbGAgBef/11BAcH44MPPkD//v2xYcMG/P777/j0008BAAqFAtOnT8e7776LFi1a6C6Dd3V1xeDBg6XaTCIiIjIikgegkSNHIisrC9HR0dBoNPDz80NSUpLuJOb09HSYmPxzoKpbt2746quv8M4772DOnDlo0aIFtm3bprsHEADMmjULBQUFmDhxInJzc9G9e3ckJSXVyXsAKZVKxMTElHmLjjg3j8K5MYxzYxjnxjDOjWF1dW4UoiLXihERERHVI0bxURhEREREtYkBiIiIiGSHAYiIiIhkhwGIiIiIZIcBiIiIiGSHAYiIiIhkhwGI6qSioiIUFRVJXQbVMdxviKiU5DdCJKqonTt34qOPPkJqairy8/MB3P/smaCgIERGRiIkJETiCskYcb8xLDs7G6tXr0Zqaio0Gg2A+5+n2K1bN4wbNw5NmjSRuELpFBcXY9u2beXOzaBBg2BmZiZxhdKpL3PDGyEaoZMnT2L58uVldq6goCBMnToVvr6+EldY+9auXYt//etfGDZsGNRqte5O4ZmZmfj555+xZcsWfPbZZxg7dqzElUqD+0z5uN8YdujQIajValhaWiIkJERvbpKTk1FYWIgdO3YgICBA4kpr39mzZ6FWq3H16lUEBgbqzc2BAwfQrFkz/PTTT/D29pa40tpXn+aGAcjI/PTTTxg8eDA6depU5gf2zp07cfjwYXz77bdQq9USV1q7WrZsiddffx1Tpkwpd/nKlSvx0UcfIS0trZYrkx73GcO43xjWtWtXdOjQAYmJiVAoFHrLhBB45ZVXcPz4caSmpkpUoXT69OkDKysrrFu3rsynm+fn5yMsLAx37tzBjh07JKpQOvVqbgQZlfbt24u5c+caXB4TEyPatWtXixUZB6VSKU6fPm1w+enTp4W5uXktVmQ8uM8Yxv3GMHNzc3Hq1CmDy0+dOiXbubGwsBAnTpwwuPz48ePCwsKiFisyHvVpbngStJH566+/MGbMGIPLR48eLcu/Vtu0aYPPPvvM4PLVq1fL9m0e7jOGcb8xzNnZGQcPHjS4/ODBg7qjiXJjZ2eHixcvGlx+8eJF2NnZ1Vo9xqQ+zQ1PgjYyHh4e+PHHH9GqVatyl//4449wd3ev5aqk98EHH+D5559HUlJSuecrnD9/Hj/++KPEVUqD+4xh3G8MmzlzJiZOnIjDhw+jd+/eZeZm1apVWLp0qcRVSuNf//oXwsLCMHfu3HLn5t1338W0adMkrlIa9WlueA6Qkdm8eTNefPFF9OvXr9wf2ElJSfjqq68wdOhQiSutfRcvXkRCQgL2799f5kTfV155BR4eHtIWKBHuM4/G/cawjRs34qOPPsLhw4dRUlICADA1NYW/vz8iIyMxYsQIiSuUzqJFi/Dxxx9Do9HozpESQsDZ2RnTp0/HrFmzJK5QOvVlbhiAjNC+ffuwbNmycq/oef311xEUFCRxhWRsuM/Qk/j777+RnZ0NAHBwcEDDhg0lrsh4XLhwQe97ytPTU+KKjEddnxsGICIiIpIdngRN9UJ4eDieffZZqcugOob7jWErV67EggULpC7DKH377bdYt26d1GUYpbo0NwxAdcycOXPw8ssvS12G0WnatKlsT/R9HO4zhnG/Mezrr7/G559/LnUZRumtt95CRESE1GUYpbo0N3wLrI4JCwvD5cuXsXv3bqlLoToiPDwcGRkZ3GeIiB7AAERERESyw7fAjFxBQQHWrFmDt99+G8uXL0dOTo7UJUniyJEjuHDhgu75+vXr8fTTT8PNzQ3du3fHhg0bJKxOWtOmTcN///tfqcswWsuXL0dYWJhuH1m/fj18fX3h4+ODOXPm4N69exJXKJ3i4mJs2rQJb7zxBkaPHo3Ro0fjjTfewObNm1FcXCx1eZLTarUG29PT02u5GuPw9ddfo7CwUOoyqoc0N6AmQ1q3bi1ycnKEEEKkp6cLDw8PoVKpROfOnUWjRo2Eo6OjOH/+vMRV1r727duLnTt3CiGEWLVqlbCwsBCvvfaaSEhIENOnTxfW1tbis88+k7hKaSgUCmFiYiJatGgh4uLixLVr16QuyWgsXLhQ2NjYiKFDhwpnZ2cRFxcnGjduLN59913x/vvviyZNmojo6Gipy5REWlqaaN68uTA3NxfBwcFixIgRYsSIESI4OFiYm5sLb29vkZaWJnWZksjLyxPDhw8X5ubmwtHRUcydO1fcu3dPt1yj0QgTExMJK5SOQqEQtra2YsKECWL//v1Sl/NEGICMjEKhEJmZmUIIIcaMGSO6desmcnNzhRBC3Lp1S4SEhIjRo0dLWaIkLCwsxMWLF4UQQnTs2FF8+umnesu//PJL4evrK0VpklMoFGLXrl3i9ddfFw4ODqJhw4Zi4MCB4vvvvxclJSVSlycpLy8v8fXXXwshhDh69KgwNTUVX3zxhW751q1bhbe3t1TlSSokJEQMGjRI5OXllVmWl5cnBg0aJPr27StBZdJ77bXXRMuWLcXmzZvFqlWrhLu7u+jfv78oKioSQtwPQAqFQuIqpaFQKMSCBQtEx44dhUKhEG3atBEfffSRyM7Olrq0SmMAMjIPBqDmzZuLn3/+WW/53r17hZubmxSlSapx48bi999/F0II4ejoKI4ePaq3/OzZs3XmA/iq24P7THFxsdi4caNQq9XC1NRUuLq6ijlz5sj2L3kLCwtx6dIl3fOGDRuKP/74Q/f84sWLwtLSUorSJFefPtSyuj311FNiz549uudZWVmiS5cuom/fvuLu3buyPwJU+vPm999/F5MnTxZ2dnZCqVSK4cOHl/mdZcx4DpARKr21+N27d+Hi4qK3rGnTpsjKypKiLEn169cPCQkJAIDg4GBs2bJFb/mmTZvg7e0tRWlGpWHDhhgxYgSSkpJw/vx5TJgwAV9++aXBzwmr75ydnXHy5EkAQFpaGkpKSnTPAeDPP/+Eo6OjVOVJqj59qGV1y8rK0rs9goODA3bt2oVbt27hueeeqz/nwDwhf39/rFy5EteuXcOqVauQlZWF0NDQOnNHaH4YqhHq3bs3GjRogPz8fJw5cwZt27bVLbt06RIaN24sYXXSWLRoEZ5++mkEBwcjICAAH3zwAVJSUtC6dWucOXMG+/fvxzfffCN1mUblqaeewrx58xATE4Ndu3ZJXY4kxowZg7CwMAwaNAjJycmYNWsWZs6ciZycHCgUCrz33nsYNmyY1GVKoj59qGV1e+qpp3Dq1Cm9X+Q2Njb4+eef0bdvXwwZMkTC6qRV+gf6g8zNzTF27FiMHTsWZ8+exZo1aySorPJ4GbyRmT9/vt7zrl27Qq1W656/+eabuHz5Mv7zn//UdmmSy83NRVxcHL7//nucP38eWq0WLi4uePrpp/HGG28gICBA6hIl4enpid9//12WwfhxtFot4uLikJqaim7dumH27NnYuHEjZs2ahcLCQgwYMADLly+HlZWV1KVKor58qGV1e+2113Dt2jVs3ry5zLJbt26hT58+OHTokO4DZOXExMQEGo2mXhw5ZQAiIpK5uv6hltXt5s2buHr1Ktq0aVPu8lu3buHIkSMIDg6u5cqkd+nSJTz11FPlHgmqaxiAiIiojIyMDMTExGD16tVSlyK5goICbNq0CWfPnoWLiwtGjx7NI67/py7PDQMQERGVcezYMXTq1EmWb/P4+vrit99+Q6NGjZCRkYGePXvi5s2baNmyJc6dO4cGDRpg//79sjxSVp/mhgGIiEiGvvvuu0cuP3/+PGbMmCHLAPTgeS4vvfQSLly4gO3bt0OlUuH27dsYMmQImjRpgq+++krqUmtdfZobBiAiIhkyMTGBQqHAo34FKBQK2QcgLy8vJCYmok+fPrrl+/btw6hRo2T5cRj1aW54HyAiIhlycXHB1q1bodVqy30cOXJE6hIlxfuxGVZf5oYBiIhIhvz9/XH48GGDyx93dKi+6927Nzp16qS7H9uD5Ho/tlL1ZW54I0QiIhl68803UVBQYHC5t7c39uzZU4sVGY+YmBi959bW1nrPv//+e/To0aM2SzIa9WlueA4QERERyQ7fAiMiIiLZYQAiIiIi2WEAIiIiItlhACIiIiLZYQAiIiIi2WEAIiKjNG7cOCgUijKP0NBQqUsjonqA9wEiIqMVGhqKNWvW6LUplcoae73i4mKYmZnV2PhEZDx4BIiIjJZSqYSzs7Pew97eHsD9OxX/+9//xpAhQ2BpaYkWLVqU+YDPP/74A/369YO1tTWcnJwwduxYZGdn65Y/88wzmDp1KqZPnw4HBweo1WoA9z8otEWLFjA3N0evXr2wdu1aKBQK5ObmoqCgALa2ttiyZYvea23btg1WVla4detWDc8KEVUHBiAiqrPmz5+PESNG4Pjx43juuecwZswY3LhxAwCQm5uLZ599Fh07dsTvv/+OpKQkZGZmYsSIEXpjrF27FmZmZti7dy8SExNx4cIFDBs2DIMHD8axY8cwadIkvP3227r+VlZWGDVqVJkjU2vWrMGwYcNgY2NT8xtORE9OEBEZofDwcGFqaiqsrKz0Hu+9954QQggA4p133tH1v337tgAgfvrpJyGEEAsXLhR9+/bVGzMjI0MAEGfOnBFCCBEcHCw6duyo1+ett94Sbdu21Wt7++23BQBx8+ZNIYQQBw4cEKampuLq1atCCCEyMzNFgwYNREpKSvVNABHVKJ4DRERGq1evXkhISNBra9Soke7/7du31/3fysoKtra2uH79OgDg2LFj2LNnT5nPKgKAc+fOoWXLlgDufyjog86cOYPOnTvrtXXp0qXM8zZt2mDt2rWYPXs2vvjiC7i7u6Nnz55V2EoikgIDEBEZLSsrK3h7extc3rBhQ73nCoUCWq0WAHD79m0MGDAAixYtKrOei4uL3mtUxb/+9S+sWLECs2fPxpo1axAREQGFQlGlsYio9jEAEVG91KlTJ3z99dfw8PBAgwYV/1HXqlUrbN++Xa/t0KFDZfq99NJLmDVrFpYtW4aTJ08iPDz8iWsmotrDk6CJyGgVFRVBo9HoPR68iutRpkyZghs3bmD06NE4dOgQzp07hx07diAiIgIlJSUG15s0aRJOnz6Nt956C3/99Rc2bdqEzz//HAD0jvDY29vjhRdewJtvvom+ffuiWbNmT7StRFS7GICIyGglJSXBxcVF79G9e/cKrevq6oq9e/eipKQEffv2Rbt27TB9+nTY2dnBxMTwjz5PT09s2bIFW7duRfv27ZGQkKC7CuzhexCNHz8excXFePnll6u+kUQkCYUQQkhdBBGRMXvvvfeQmJiIjIwMvfb169fjjTfewNWrV3kDRaI6hucAERE9ZOXKlejcuTMaN26MvXv3YsmSJZg6dapueWFhIa5du4a4uDhMmjSJ4YeoDuJbYERED0lLS8OgQYPg6+uLhQsXYsaMGZg3b55u+eLFi+Hj4wNnZ2dERUVJVygRVRnfAiMiIiLZ4REgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpIdBiAiIiKSHQYgIiIikh0GICIiIpKd/w+Hq+2diepXZgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "minimum energy: 5.0\n" ] } ], "source": [ "plot_enumerate(simAnnSamples, title='Simulated annealing in default parameters')\n", "plot_energies(simAnnSamples, title='Simulated annealing in default parameters')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now let's solve this using Quantum Annealing!\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Let's setup the D-Wave connection\n", "if IN_COLAB:\n", " !dwave setup" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using endpoint: https://cloud.dwavesys.com/sapi/\n", "Using region: na-west-1\n", "Using solver: Advantage_system4.1\n", "Submitted problem ID: 586cd9f7-f531-4422-9292-ff1024eff1cc\n", "\n", "Wall clock time:\n", " * Solver definition fetch: 240.173 ms\n", " * Problem submit and results fetch: 864.714 ms\n", " * Total: 1104.886 ms\n", "\n", "QPU timing:\n", " * post_processing_overhead_time = 1.0 us\n", " * qpu_access_overhead_time = 0.0 us\n", " * qpu_access_time = 15858.14 us\n", " * qpu_anneal_time_per_sample = 20.0 us\n", " * qpu_delay_time_per_sample = 20.58 us\n", " * qpu_programming_time = 15781.16 us\n", " * qpu_readout_time_per_sample = 36.4 us\n", " * qpu_sampling_time = 76.98 us\n", " * total_post_processing_time = 1.0 us\n" ] } ], "source": [ "!dwave ping" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "import dwave_networkx as dnx\n", "from dwave.system import (DWaveSampler, EmbeddingComposite,\n", " FixedEmbeddingComposite)\n", "from pprint import pprint" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Advantage_system4.1\n", "Number of qubits= 5627\n", "Number of couplers= 40279\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Graph corresponding to D-Wave Model\n", "qpu = DWaveSampler()\n", "qpu_edges = qpu.edgelist\n", "qpu_nodes = qpu.nodelist\n", "# pprint(dir(qpu))\n", "if qpu.solver.id == \"DW_2000Q_6\":\n", " print(qpu.solver.id)\n", " X = dnx.chimera_graph(16, node_list=qpu_nodes, edge_list=qpu_edges)\n", " dnx.draw_chimera(X, node_size=1)\n", " print('Number of qubits=', len(qpu_nodes))\n", " print('Number of couplers=', len(qpu_edges))\n", "else:\n", " print(qpu.solver.id)\n", " X = dnx.pegasus_graph(16, node_list=qpu_nodes, edge_list=qpu_edges)\n", " dnx.draw_pegasus(X, node_size=1)\n", " print('Number of qubits=', len(qpu_nodes))\n", " print('Number of couplers=', len(qpu_edges))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "DWavesampler = EmbeddingComposite(DWaveSampler())\n", "DWaveSamples = DWavesampler.sample(bqm=model, num_reads=1000, \n", " return_embedding=True, \n", " # chain_strength=chain_strength, \n", " # annealing_time=annealing_time\n", " )" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'timing': {'qpu_sampling_time': 104820.0, 'qpu_anneal_time_per_sample': 20.0, 'qpu_readout_time_per_sample': 64.24, 'qpu_access_time': 120581.16, 'qpu_access_overhead_time': 1067.84, 'qpu_programming_time': 15761.16, 'qpu_delay_time_per_sample': 20.58, 'post_processing_overhead_time': 1.0, 'total_post_processing_time': 1.0}, 'problem_id': '7b67d313-e5c7-4172-8382-0882a1f3f49f', 'embedding_context': {'embedding': {3: (4587, 2333), 0: (4557,), 1: (4482,), 4: (2258,), 2: (4496, 2303), 5: (2423, 4527), 6: (2363, 4512), 7: (2273,), 8: (4542, 2408), 9: (4481, 2288), 10: (2318, 4572)}, 'chain_break_method': 'majority_vote', 'embedding_parameters': {}, 'chain_strength': 159.83033942960208}}\n" ] } ], "source": [ "print(DWaveSamples.info)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "embedding = DWaveSamples.info['embedding_context']['embedding']\n", "if qpu.solver.id == \"DW_2000Q_6\":\n", " dnx.draw_chimera_embedding(X, embedding, node_size=2)\n", "else:\n", " dnx.draw_pegasus_embedding(X, embedding, node_size=2)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "minimum energy: 5.0\n" ] }, { "data": { "image/png": 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", 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r1q1DkyZNtO1xcXEmf20/Pz8Aj09hhIWFPbPv2rVr0adPH3z66afatgcPHuT5eRpL+fLlASDPq7P0vWLLmNzc3GBnZ6c9cvakM2fO6Dz38/ODiMDX11d7dMQQhuwXz/peVahQ4ZmvU5DZq8+fPw8R0Vn37NmzAKC9Kmrt2rV49dVX8e233+qsm5ycrPcRYWPE0Ichn1V+75efnx+OHj2K5s2bF2pGcBsbG7Rt2xZt27ZFdnY2hgwZgq+++goTJ0584XNEvcw4BogKZdSoUShevDgGDhyIpKQknWW3b9/GoEGD4OjoiGHDhmnb/fz8kJKSonPk6Pr16/jll1901s/5K+zp0yxLly4tcL729vYAkOcvCj8/P/z99986bV9//XW+R4CMKa9tzczMLNCVc4YKCgqCn58fPvnkE9y7dy/X8ps3b+rk+fTRkS+//NKk75GXlxeqV6+O5cuX6+S3fft2HD9+3GSvmx8rKyuEh4dj/fr1uHz5srb91KlT2LRpk07fTp06wcrKClOmTMn1volIru9MXq+V0zdHfvuFn58f9uzZg8zMTG3b77//rnMJd36e9b3Iz7Vr13S+s6mpqVi+fDlq1aoFT09Pbf5Pb/eaNWtw9epVvV/HGDH0YchnZW9vn+fpx27duuHq1atYvHhxrmX3799HWlrac/N4ep9Qq9XaKwLzumyfCo5HgKhQ/P39sXz5cvTs2ROBgYG5ZoK+c+cOVq5cqXOuu0ePHhg7diw6duyI4cOHIz09HQsXLkSlSpV0xnO0aNFC+5fQwIEDce/ePSxevBju7u4FPipTq1YtWFlZYebMmUhJSYFGo9HOM/TOO+9g0KBB6Ny5M1577TUcPXoUmzZtMupfmflp0KABXFxc0KdPHwwfPhwqlQorVqx4IaeB1Go1vvnmG7Rq1QrVqlVDREQEypQpg6tXr2Lbtm1wdHTEhg0bAACvv/46VqxYAScnJ1StWhW7d+/GX3/9ledYDGP6+OOP0b59ezRs2BARERG4c+cO5s2bh+rVq+dZtJnalClTEB0djcaNG2PIkCF49OgRvvzyS1SrVk2nsPfz88NHH32E8ePHIz4+Hh06dECJEiUQFxeHX375BQMGDMCoUaPyfR1D9ot33nkHa9euRcuWLdGtWzdcuHAB33//vfYI37MEBQUBAIYPH47w8HBYWVmhR48ez1ynUqVK6NevH/bv3w8PDw8sWbIEiYmJOn+gvP766/jwww8RERGBBg0a4Pjx4/jhhx+ee0TqScaIoQ9DPqugoCCsWrUKkZGRqFu3LhwcHNC2bVu89dZbWL16NQYNGoRt27ahYcOGyMrKwunTp7F69Wps2rQJderUeWYe77zzDm7fvo1mzZqhbNmyuHTpEr788kvUqlWrwFN2UD5e0NVm9JI7fvy4vPHGG+Lp6SlqtVoAiK2tba5LPHNs3rxZqlevLjY2NlK5cmX5/vvv87wM/rfffpMaNWqIra2t+Pj4yMyZM2XJkiUCQOLi4rT9ypcvL23atMn1Ok9fAiwisnjxYqlQoYL2kuWcS7WzsrJk7Nix4urqKsWLF5fw8HA5f/58vpfB79+/Xydufpcx9+nTR+zt7Z/zDors3LlT6tevL3Z2duLl5SVjxoyRTZs25bqcPDQ0VKpVq5Zr/acvM8+5LHjNmjU6/fK6DFpE5PDhw9KpUycpVaqUaDQaKV++vHTr1k1iYmK0fe7cuSMRERHi6uoqDg4OEh4eLqdPn871HhlyGfzs2bNzbQvymJJg5cqVEhAQIBqNRqpXry6//fabdO7cWQICAnK/mU/J7zJ4fd+bvGzfvl2CgoLExsZGKlSoIIsWLcpzHxYR+fnnn6VRo0Zib28v9vb2EhAQIEOHDpUzZ85o++S3/+i7X4iIfPrpp1KmTBnRaDTSsGFDOXDggF6XwT969EjeffddcXNzE5VK9dxL4nO+b5s2bZIaNWqIRqORgICAXO/ngwcP5P3335fSpUuLnZ2dNGzYUHbv3q3352GMGIZ+X/X5rO7duydvvPGGODs755qKITMzU2bOnCnVqlUTjUYjLi4uEhQUJFOmTJGUlBRtPwAydOjQXNu7du1aadGihbi7u4uNjY2UK1dOBg4cKNevX8/9QVChqERewJ+YpDjLly9H37590atXL53ZmImMqVatWnBzc+Mlwy+Yj48Pqlevjt9//93cqRAVGMcAkUn07t0b06dPx4oVK/DBBx+YOx2ycA8fPtTO15IjNjYWR48efeZtHoiI8sMjQERU5MXHxyMsLAy9evWCl5cXTp8+jUWLFsHJyQn//vuvyccgkS4eAaKXAQdBE1GR5+LigqCgIHzzzTe4efMm7O3t0aZNG8yYMYPFDxEVCI8AERERkeJwDBAREREpDk+B5SE7OxvXrl1DiRIlCjWbJxEREb04IoK7d+/Cy8tLexPd/LAAysO1a9dy3bOFiIiILMOVK1dQtmzZZ/ZhAZSHnLucX7lyBY6OjmbOhoiIiPSRmpoKb29v7e/xZ2EBlIec016Ojo4sgIiIiCyMPsNXOAiaiIiIFIcFEBERESkOCyAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESkOCyAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsWxNncCVPT5jPtD777xM9qYMBMiIiLj4BEgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeIUiQJo/vz58PHxga2tLYKDg7Fv3758+y5evBiNGzeGi4sLXFxcEBYWlqt/3759oVKpdB4tW7Y09WYQERGRhTB7AbRq1SpERkYiKioKhw4dQs2aNREeHo4bN27k2T82NhY9e/bEtm3bsHv3bnh7e6NFixa4evWqTr+WLVvi+vXr2sdPP/30IjaHiIiILIDZC6DPPvsM/fv3R0REBKpWrYpFixahePHiWLJkSZ79f/jhBwwZMgS1atVCQEAAvvnmG2RnZyMmJkann0ajgaenp/bh4uLyIjaHiIiILIBZC6DMzEwcPHgQYWFh2ja1Wo2wsDDs3r1brxjp6el4+PAhSpYsqdMeGxsLd3d3VK5cGYMHD0ZSUlK+MTIyMpCamqrzICIiopeXWQugW7duISsrCx4eHjrtHh4eSEhI0CvG2LFj4eXlpVNEtWzZEsuXL0dMTAxmzpyJ7du3o1WrVsjKysozxvTp0+Hk5KR9eHt7F3yjiIiIqMizNncChTFjxgysXLkSsbGxsLW11bb36NFD+//AwEDUqFEDfn5+iI2NRfPmzXPFGT9+PCIjI7XPU1NTWQQRERG9xMx6BMjV1RVWVlZITEzUaU9MTISnp+cz1/3kk08wY8YMbN68GTVq1Hhm3woVKsDV1RXnz5/Pc7lGo4Gjo6POg4iIiF5eZi2AbGxsEBQUpDOAOWdAc0hISL7rzZo1C1OnTkV0dDTq1Knz3Nf577//kJSUhNKlSxslbyIiIrJsZr8KLDIyEosXL8ayZctw6tQpDB48GGlpaYiIiAAA9O7dG+PHj9f2nzlzJiZOnIglS5bAx8cHCQkJSEhIwL179wAA9+7dw+jRo7Fnzx7Ex8cjJiYG7du3h7+/P8LDw82yjURERFS0mH0MUPfu3XHz5k1MmjQJCQkJqFWrFqKjo7UDoy9fvgy1+v/rtIULFyIzMxNdunTRiRMVFYXJkyfDysoKx44dw7Jly5CcnAwvLy+0aNECU6dOhUajeaHbRkREREWTSkTE3EkUNampqXByckJKSgrHAwHwGfeH3n3jZ7QxYSZERET5M+T3t9lPgRERERG9aCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgUhwUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgUhwUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgUhwUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgUhwUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgUhwUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIpjbe4ELInPuD/07hs/o40JMyEiIqLC4BEgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREilMkCqD58+fDx8cHtra2CA4Oxr59+/Ltu3jxYjRu3BguLi5wcXFBWFhYrv4igkmTJqF06dKws7NDWFgYzp07Z+rNICIiIgth9gJo1apViIyMRFRUFA4dOoSaNWsiPDwcN27cyLN/bGwsevbsiW3btmH37t3w9vZGixYtcPXqVW2fWbNmYe7cuVi0aBH27t0Le3t7hIeH48GDBy9qs4iIiKgIU4mImDOB4OBg1K1bF/PmzQMAZGdnw9vbG++++y7GjRv33PWzsrLg4uKCefPmoXfv3hAReHl54f3338eoUaMAACkpKfDw8MB3332HHj165IqRkZGBjIwM7fPU1FR4e3sjJSUFjo6O2nalToSo1O0mIiLLkpqaCicnp1y/v/Ni1iNAmZmZOHjwIMLCwrRtarUaYWFh2L17t14x0tPT8fDhQ5QsWRIAEBcXh4SEBJ2YTk5OCA4Ozjfm9OnT4eTkpH14e3sXYquIiIioqDNrAXTr1i1kZWXBw8NDp93DwwMJCQl6xRg7diy8vLy0BU/OeobEHD9+PFJSUrSPK1euGLopREREZEEs+l5gM2bMwMqVKxEbGwtbW9sCx9FoNNBoNEbMjIiIiIoysx4BcnV1hZWVFRITE3XaExMT4enp+cx1P/nkE8yYMQObN29GjRo1tO056xUkJhERESmDWQsgGxsbBAUFISYmRtuWnZ2NmJgYhISE5LverFmzMHXqVERHR6NOnTo6y3x9feHp6akTMzU1FXv37n1mTCIiIlIOs58Ci4yMRJ8+fVCnTh3Uq1cPc+bMQVpaGiIiIgAAvXv3RpkyZTB9+nQAwMyZMzFp0iT8+OOP8PHx0Y7rcXBwgIODA1QqFUaOHImPPvoIFStWhK+vLyZOnAgvLy906NDBXJtJRERERYjZC6Du3bvj5s2bmDRpEhISElCrVi1ER0drBzFfvnwZavX/H6hauHAhMjMz0aVLF504UVFRmDx5MgBgzJgxSEtLw4ABA5CcnIxGjRohOjq6UOOEiIiI6OVh9nmAiqL85hFQ6nw4St1uIiKyLBYzDxARERGRObAAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESkOCyAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESkOCyAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsUpUAF0//59pKena59funQJc+bMwebNm42WGBEREZGpFKgAat++PZYvXw4ASE5ORnBwMD799FO0b98eCxcuNGqCRERERMZWoALo0KFDaNy4MQBg7dq18PDwwKVLl7B8+XLMnTvXqAkSERERGVuBCqD09HSUKFECALB582Z06tQJarUa9evXx6VLl4yaIBEREZGxFagA8vf3x/r163HlyhVs2rQJLVq0AADcuHEDjo6ORk2QiIiIyNgKVABNmjQJo0aNgo+PD+rVq4eQkBAAj48G1a5d26gJEhERERmbdUFW6tKlCxo1aoTr16+jZs2a2vbmzZujY8eORkuOiIiIyBQKPA+Qp6cnSpQogS1btuD+/fsAgLp16yIgIMBoyRERERGZQoEKoKSkJDRv3hyVKlVC69atcf36dQBAv3798P777xs1QSIiIiJjK1AB9N5776FYsWK4fPkyihcvrm3v3r07oqOjjZYcERERkSkUaAzQ5s2bsWnTJpQtW1anvWLFirwMnoiIiIq8Ah0BSktL0znyk+P27dvQaDSFToqIiIjIlApUADVu3Fh7KwwAUKlUyM7OxqxZs/Dqq68aLTkiIiIiUyjQKbBZs2ahefPmOHDgADIzMzFmzBicOHECt2/fxs6dO42dIxEREZFRFegIUPXq1XH27Fk0atQI7du3R1paGjp16oTDhw/Dz8/P2DkSERERGVWBjgABgJOTE/73v/8ZMxciIiKiF0LvAujYsWOoXr061Go1jh079sy+NWrUKHRiRERERKaidwFUq1YtJCQkwN3dHbVq1YJKpYKI5OqnUqmQlZVl1CSJiIiIjEnvAiguLg5ubm7a/xMRERFZKr0LoPLly2v/f+nSJTRo0ADW1rqrP3r0CLt27dLpS0RERFTUFOgqsFdffRW3b9/O1Z6SksJ5gIiIiKjIK1ABJCJQqVS52pOSkmBvb1/opIiIiIhMyaDL4Dt16gTg8UDnvn376tz2IisrC8eOHUODBg2MmyERERGRkRlUADk5OQF4fASoRIkSsLOz0y6zsbFB/fr10b9/f+NmSERERGRkBhVAS5cuBQD4+Phg1KhRPN1FREREFqlAM0FHRUUZOw8iIiKiF0bvAuiVV15BTEwMXFxcULt27TwHQec4dOiQUZIjIiIiMgW9C6D27dtrBz136NDBVPkQERERmZzeBdCTp714CoyIiIgsWYHmASIiIiKyZHofAXJxcXnmuJ8n5TVLNBEREVFRoXcBNGfOHBOmQURERPTi6F0A9enTx5R5EBEREb0weo8BSk1N1fn/sx6GmD9/Pnx8fGBra4vg4GDs27cv374nTpxA586d4ePjA5VKledRqcmTJ0OlUuk8AgICDMqJiIiIXm4GjQG6fv063N3d4ezsnOd4oJybpGZlZekVc9WqVYiMjMSiRYsQHByMOXPmIDw8HGfOnIG7u3uu/unp6ahQoQK6du2K9957L9+41apVw19//aV9bm1doPkeiYiI6CWld2WwdetWlCxZEgCwbds2o7z4Z599hv79+yMiIgIAsGjRIvzxxx9YsmQJxo0bl6t/3bp1UbduXQDIc3kOa2treHp6GiVHIiIievnoXQCFhobm+f+CyszMxMGDBzF+/Hhtm1qtRlhYGHbv3l2o2OfOnYOXlxdsbW0REhKC6dOno1y5cvn2z8jIQEZGhva5oafxiIiIyLIU+NzQnTt38O233+LUqVMAgKpVqyIiIkJ7lOh5bt26haysLHh4eOi0e3h44PTp0wVNC8HBwfjuu+9QuXJlXL9+HVOmTEHjxo3x77//okSJEnmuM336dEyZMqXAr0lERESWpUATIf7999/w8fHB3LlzcefOHdy5cwdz586Fr68v/v77b2PnaJBWrVqha9euqFGjBsLDw7Fx40YkJydj9erV+a4zfvx4pKSkaB9Xrlx5gRkTERHRi1agI0BDhw5F9+7dsXDhQlhZWQEAsrKyMGTIEAwdOhTHjx9/bgxXV1dYWVkhMTFRpz0xMdGo43ecnZ1RqVIlnD9/Pt8+Go1Ge58zIiIievkV6AjQ+fPn8f7772uLHwCwsrJCZGTkMwuNJ9nY2CAoKAgxMTHatuzsbMTExCAkJKQgaeXp3r17uHDhAkqXLm20mERERGTZClQAvfLKK9qxP086deoUatasqXecyMhILF68GMuWLcOpU6cwePBgpKWlaa8K6927t84g6czMTBw5cgRHjhxBZmYmrl69iiNHjugUXaNGjcL27dsRHx+PXbt2oWPHjrCyskLPnj0LsqlERET0EtL7FNixY8e0/x8+fDhGjBiB8+fPo379+gCAPXv2YP78+ZgxY4beL969e3fcvHkTkyZNQkJCAmrVqoXo6GjtwOjLly9Drf7/Gu3atWuoXbu29vknn3yCTz75BKGhoYiNjQUA/Pfff+jZsyeSkpLg5uaGRo0aYc+ePXBzc9M7L0vnM+4PvfrFz2hj4kyIiIiKJpWIiD4d1Wo1VCoVntfdkIkQi6rU1FQ4OTkhJSUFjo6O2nZ9CwvAvMWFsQsgS9luIiJStvx+f+dF7yNAcXFxhU6MiIiIqCjQuwAqX768KfMgIiIiemEKdZOskydP4vLly8jMzNRpb9euXaGSIiIiIjKlAhVAFy9eRMeOHXH8+HGdcUE5N0i19DFARERE9HIr0GXwI0aMgK+vL27cuIHixYvjxIkT+Pvvv1GnTh3t1VhERERERVWBjgDt3r0bW7duhaurK9RqNdRqNRo1aoTp06dj+PDhOHz4sLHzJCIiIjKaAh0BysrK0t5Y1NXVFdeuXQPweKD0mTNnjJcdERERkQkU6AhQ9erVcfToUfj6+iI4OBizZs2CjY0Nvv76a1SoUMHYORIREREZVYEKoAkTJiAtLQ0A8OGHH+L1119H48aNUapUKaxatcqoCRIREREZW4EKoPDwcO3//f39cfr0ady+fRsuLi7aK8GIiIiIiqpCzQMEAFeuXAEAeHt7FzoZIiIiohehQIOgHz16hIkTJ8LJyQk+Pj7w8fGBk5MTJkyYgIcPHxo7RyIiIiKjKtARoHfffRfr1q3DrFmzEBISAuDxpfGTJ09GUlISFi5caNQkiYiIiIypQAXQjz/+iJUrV6JVq1batho1asDb2xs9e/ZkAURERERFWoFOgWk0Gvj4+ORq9/X1hY2NTWFzIiIiIjKpAhVAw4YNw9SpU5GRkaFty8jIwLRp0zBs2DCjJUdERERkCnqfAuvUqZPO87/++gtly5ZFzZo1AQBHjx5FZmYmmjdvbtwMiYiIiIxM7wLIyclJ53nnzp11nvMyeCIiIrIUehdAS5cuNWUeRERERC9MoSZCvHnzpvbmp5UrV4abm5tRkiIiIiIypQINgk5LS8Pbb7+N0qVLo0mTJmjSpAm8vLzQr18/pKenGztHIiIiIqMqUAEUGRmJ7du3Y8OGDUhOTkZycjJ+/fVXbN++He+//76xcyQiIiIyqgKdAvv555+xdu1aNG3aVNvWunVr2NnZoVu3bpwIkYiIiIq0Ah0BSk9Ph4eHR652d3d3ngIjIiKiIq9ABVBISAiioqLw4MEDbdv9+/cxZcoU7b3BiIiIiIqqAp0CmzNnDlq2bJlrIkRbW1ts2rTJqAkSERERGVuBCqDAwECcO3cOP/zwA06fPg0A6NmzJ958803Y2dkZNUEiIiIiYzO4AHr48CECAgLw+++/o3///qbIiYiIiMikDB4DVKxYMZ2xP0RERESWpkCDoIcOHYqZM2fi0aNHxs6HiIiIyOQKNAZo//79iImJwebNmxEYGAh7e3ud5evWrTNKckRERESmUKACyNnZOdfd4ImIiIgshUEFUHZ2NmbPno2zZ88iMzMTzZo1w+TJk3nlFxEREVkUg8YATZs2DR988AEcHBxQpkwZzJ07F0OHDjVVbkREREQmYVABtHz5cixYsACbNm3C+vXrsWHDBvzwww/Izs42VX5ERERERmdQAXT58mW0bt1a+zwsLAwqlQrXrl0zemJEREREpmJQAfTo0SPY2trqtBUrVgwPHz40alJEREREpmTQIGgRQd++faHRaLRtDx48wKBBg3Quhedl8ERERFSUGVQA9enTJ1dbr169jJYMERER0YtgUAG0dOlSU+VBRERE9MIU6FYYRERERJaMBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhyzF0Dz58+Hj48PbG1tERwcjH379uXb98SJE+jcuTN8fHygUqkwZ86cQsckIiIi5TFrAbRq1SpERkYiKioKhw4dQs2aNREeHo4bN27k2T89PR0VKlTAjBkz4OnpaZSYREREpDxmLYA+++wz9O/fHxEREahatSoWLVqE4sWLY8mSJXn2r1u3LmbPno0ePXpAo9EYJSYREREpj9kKoMzMTBw8eBBhYWH/n4xajbCwMOzevfuFxszIyEBqaqrOg4iIiF5eZiuAbt26haysLHh4eOi0e3h4ICEh4YXGnD59OpycnLQPb2/vAr0+ERERWQazD4IuCsaPH4+UlBTt48qVK+ZOiYiIiEzI2lwv7OrqCisrKyQmJuq0JyYm5jvA2VQxNRpNvmOKiIiI6OVjtiNANjY2CAoKQkxMjLYtOzsbMTExCAkJKTIxiYiI6OVjtiNAABAZGYk+ffqgTp06qFevHubMmYO0tDREREQAAHr37o0yZcpg+vTpAB4Pcj558qT2/1evXsWRI0fg4OAAf39/vWISERERmbUA6t69O27evIlJkyYhISEBtWrVQnR0tHYQ8+XLl6FW//9BqmvXrqF27dra55988gk++eQThIaGIjY2Vq+YRERERGYtgABg2LBhGDZsWJ7LcoqaHD4+PhCRQsUkIiIi4lVgREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESkOCyAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESmOtbkTUDqfcX/o1S9+RhsTZ0JERKQcPAJEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4vBs8mYXPuD/06hc/o42JMyEiIiXiESAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIfzABGRyXHeJyIqangEiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcYpEATR//nz4+PjA1tYWwcHB2Ldv3zP7r1mzBgEBAbC1tUVgYCA2btyos7xv375QqVQ6j5YtW5pyE4iIiMiCmL0AWrVqFSIjIxEVFYVDhw6hZs2aCA8Px40bN/Lsv2vXLvTs2RP9+vXD4cOH0aFDB3To0AH//vuvTr+WLVvi+vXr2sdPP/30IjaHiIiILIDZC6DPPvsM/fv3R0REBKpWrYpFixahePHiWLJkSZ79v/jiC7Rs2RKjR49GlSpVMHXqVLzyyiuYN2+eTj+NRgNPT0/tw8XF5UVsDhEREVkAsxZAmZmZOHjwIMLCwrRtarUaYWFh2L17d57r7N69W6c/AISHh+fqHxsbC3d3d1SuXBmDBw9GUlJSvnlkZGQgNTVV50FEREQvL7MWQLdu3UJWVhY8PDx02j08PJCQkJDnOgkJCc/t37JlSyxfvhwxMTGYOXMmtm/fjlatWiErKyvPmNOnT4eTk5P24e3tXcgtIyIioqLM2twJmEKPHj20/w8MDESNGjXg5+eH2NhYNG/ePFf/8ePHIzIyUvs8NTWVRRAREdFLzKxHgFxdXWFlZYXExESd9sTERHh6eua5jqenp0H9AaBChQpwdXXF+fPn81yu0Wjg6Oio8yAiIqKXl1kLIBsbGwQFBSEmJkbblp2djZiYGISEhOS5TkhIiE5/ANiyZUu+/QHgv//+Q1JSEkqXLm2cxImIiMiimf0qsMjISCxevBjLli3DqVOnMHjwYKSlpSEiIgIA0Lt3b4wfP17bf8SIEYiOjsann36K06dPY/LkyThw4ACGDRsGALh37x5Gjx6NPXv2ID4+HjExMWjfvj38/f0RHh5ulm0kIiKiosXsY4C6d++OmzdvYtKkSUhISECtWrUQHR2tHeh8+fJlqNX/X6c1aNAAP/74IyZMmIAPPvgAFStWxPr161G9enUAgJWVFY4dO4Zly5YhOTkZXl5eaNGiBaZOnQqNRmOWbSQiIqKixewFEAAMGzZMewTnabGxsbnaunbtiq5du+bZ387ODps2bTJmekRERPSSMfspMCIiIqIXjQUQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHGKxFVgRFR0+Iz7Q+++8TPamDATIiLT4REgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4LICIiIhIcVgAERERkeKwACIiIiLFYQFEREREisMCiIiIiBSHBRAREREpjrW5EyAiKgifcX/o1S9+RhsTZ0JElohHgIiIiEhxWAARERGR4rAAIiIiIsVhAURERESKwwKIiIiIFIdXgdFLg1cFERGRvngEiIiIiBSHBRAREREpDgsgIiIiUhwWQERERKQ4HARNREREBWapF6DwCBAREREpDo8AEVk4S/3ri4jInFgAERFB/0ISYDFJ9DLgKTAiIiJSHBZAREREpDgsgIiIiEhxWAARERGR4nAQNNELxCu2lIWfN1HRxQKIKB+8Kojo5WWK77cpCl5jx+TPtf9XJAqg+fPnY/bs2UhISEDNmjXx5Zdfol69evn2X7NmDSZOnIj4+HhUrFgRM2fOROvWrbXLRQRRUVFYvHgxkpOT0bBhQyxcuBAVK1Z8EZtDRGQxLKUQIDI2s48BWrVqFSIjIxEVFYVDhw6hZs2aCA8Px40bN/Lsv2vXLvTs2RP9+vXD4cOH0aFDB3To0AH//vuvts+sWbMwd+5cLFq0CHv37oW9vT3Cw8Px4MGDF7VZREREVISZ/QjQZ599hv79+yMiIgIAsGjRIvzxxx9YsmQJxo0bl6v/F198gZYtW2L06NEAgKlTp2LLli2YN28eFi1aBBHBnDlzMGHCBLRv3x4AsHz5cnh4eGD9+vXo0aPHi9s4IiIjU+rRFaVuN5mOWQugzMxMHDx4EOPHj9e2qdVqhIWFYffu3Xmus3v3bkRGRuq0hYeHY/369QCAuLg4JCQkICwsTLvcyckJwcHB2L17d54FUEZGBjIyMrTPU1JSAACpqak6/bIz0vXetqfXzY++MfWNZ4qY3O4XH5Pb/eJjcrtffExu94uPaSnbXT1qk179/p0SnudriMjzVxYzunr1qgCQXbt26bSPHj1a6tWrl+c6xYoVkx9//FGnbf78+eLu7i4iIjt37hQAcu3aNZ0+Xbt2lW7duuUZMyoqSgDwwQcffPDBBx8vwePKlSvPrUHMfgqsKBg/frzOUaXs7Gzcvn0bpUqVgkqlyne91NRUeHt748qVK3B0dDRKLpYQ0xJyNEVMS8jRFDEtIUdTxLSEHE0R0xJyNEVMS8jRFDEtIUdDYooI7t69Cy8vr+fGNGsB5OrqCisrKyQmJuq0JyYmwtPTM891PD09n9k/59/ExESULl1ap0+tWrXyjKnRaKDRaHTanJ2d9d4OR0dHo33IlhTTEnI0RUxLyNEUMS0hR1PEtIQcTRHTEnI0RUxLyNEUMS0hR31jOjk56RXLrFeB2djYICgoCDExMdq27OxsxMTEICQkJM91QkJCdPoDwJYtW7T9fX194enpqdMnNTUVe/fuzTcmERERKYvZT4FFRkaiT58+qFOnDurVq4c5c+YgLS1Ne1VY7969UaZMGUyfPh0AMGLECISGhuLTTz9FmzZtsHLlShw4cABff/01AEClUmHkyJH46KOPULFiRfj6+mLixInw8vJChw4dzLWZREREVISYvQDq3r07bt68iUmTJiEhIQG1atVCdHQ0PDw8AACXL1+GWv3/B6oaNGiAH3/8ERMmTMAHH3yAihUrYv369ahevbq2z5gxY5CWloYBAwYgOTkZjRo1QnR0NGxtbY2au0ajQVRUVK7TZy97TEvI0RQxLSFHU8S0hBxNEdMScjRFTEvI0RQxLSFHU8S0hBxNFVMlos+1YkREREQvD7PPBE1ERET0orEAIiIiIsVhAURERESKwwKIiIiIFIcFEBERESkOCyAiIiJSHLPPA0T/L+eO9Mac58DYLCFHoqLi1q1bWLJkCXbv3o2EhAQAj2/X06BBA/Tt2xdubm5mzpCo6EpISMDevXt1vjvBwcH53irLUJwHyMy2bNmCzz//HLt370ZqaiqAx/c6CQkJQWRkJMLCwsycoelyNPYvh8zMTKxfvz7PeO3bt4eNjY1Z41lKTFP80jbFdhs7T2PH279/P8LDw1G8eHGEhYVpJ3dNTExETEwM0tPTsWnTJtSpU8eguACwb9++XHmGhISgXr16BseylJim2IeMnaMp8rSEnxnGjpmWloaBAwdi5cqVUKlUKFmyJADg9u3bEBH07NkTX331FYoXL25wnk9iAWSAkydPYt68eXl+WYYNG4aqVasaFG/ZsmV455130KVLF4SHh+v8gNy8eTPWrl2Lb7/9Fm+99ZbZ8jRVjsb+5XD+/HmEh4fj2rVrCA4O1om3d+9elC1bFn/++Sf8/f3NEs9SYpril7YpttvYeZpiu+vXr4+aNWti0aJFUKlUOstEBIMGDcKxY8ewe/duvWPeuHEDnTt3xs6dO1GuXDmdPC9fvoyGDRvi559/hru7+0sV0xT7kCm2mz+HjBPznXfewd9//40vv/wSYWFhsLKyAgBkZWUhJiYG7777Lpo0aYLFixfrnWOehPSyceNGsbGxkfr160tUVJQsWLBAFixYIFFRUdKgQQPRaDQSHR1tUMyKFSvKvHnz8l0+f/588ff3N2uepshRRCQ4OFgGDBgg2dnZuZZlZ2fLgAEDpH79+nrHCwsLk/bt20tKSkquZSkpKdK+fXtp0aKF2eJZSkxjfy6myNEUeZpiu21tbeXUqVP5Lj916pTY2toaFLNz584SEhIip0+fzrXs9OnT0qBBA+nSpctLF9MU+5Aptps/h4wT09nZWXbu3Jnv8h07doizs7NBOeaFBZCeatSoIRMnTsx3eVRUlAQGBhoUU6PR5Pnly3H69GmDf0AaO09T5Chi/F8OdnZ2cvz48XyXHzt2TOzs7MwWz1JimuKXtim229h5mmK7fXx8ZNmyZfkuX7ZsmZQvX96gmA4ODnLo0KF8lx84cEAcHBxeupim2IdMsd38OWScmI6OjrJ///58l+/bt08cHR0NyjEvvApMT2fPnsWbb76Z7/KePXvi3LlzBsWsVq0avv3223yXL1myxODTasbO0xQ5Ao9Pye3bty/f5fv27dMeRtWHs7Mz4uPj810eHx8PZ2dns8WzlJjG/lwA02y3sfM0xXaPGjUKAwYMwIgRI/Dbb79h79692Lt3L3777TeMGDECgwYNwpgxYwyKqdFotOPw8nL37l2DL1CwhJim2IdMsd38OWScmK+//joGDBiAw4cP51p2+PBhDB48GG3btjUoxzwVuoRSiICAAPn000/zXf7pp59K5cqVDYq5bds2sbe3l8DAQHnvvfdkxowZMmPGDHnvvfekRo0a4uDgINu3bzdrnqbIUURk3rx5otFoZPjw4fLrr7/Knj17ZM+ePfLrr7/K8OHDxc7OTubPn693vIkTJ4qLi4t89tlncvToUUlISJCEhAQ5evSofPbZZ1KyZEmJiooyWzxLiWnsz8VU223sPE2x3SIiK1eulODgYLG2thaVSiUqlUqsra0lODhYVq1aZXC8IUOGSPny5WXdunU6pxtSUlJk3bp14uPjI8OGDXvpYppiHzLFdvPnkHFi3r59W1q2bCkqlUpKliwpAQEBEhAQICVLlhS1Wi2tWrWSO3fuGJRjXlgA6Wn16tVibW0tbdu2lS+++EJWrlwpK1eulC+++ELatWsnNjY2snbtWoPjxsXFyZgxY6RJkyZSqVIlqVSpkjRp0kTGjh0rcXFxRSJPY+eYw9i/HGbMmCGlS5cWlUolarVa1Gq1qFQqKV26tMycOdPs8SwlprE/F1PkaIo8TbHdOTIzM+XatWty7do1yczMLHCcBw8eyKBBg8TGxkbUarXY2tqKra2tqNVqsbGxkcGDB8uDBw9eypjG3odMkaMp8rSEnxmminnq1ClZsmSJfPzxx/Lxxx/LkiVLnnmq2lC8CswAu3btwty5c/O8umrEiBEICQkxc4aPWUqeOR4+fIhbt24BAFxdXVGsWLFCxYuLi9PZbl9f3yIVz1JiGvtzMUWOgPHzNMV2G1tqaioOHjyo814GBQXB0dHxpY9p7H3IFDmaIk9L+JlhqpimwgKIiMgMFixYgFu3bmHSpEnmToXIoly/fh0PHz5EuXLlChWHg6CLsD59+qBZs2bmTuOZTJXjggUL8OGHHxot3q+//orly5cX2XiWEtPYnwtgmu02dp6m2O6ff/4Z3333nVFjHjhwAH///bfiYppiHzLFdvPnkHE0a9bMOEeWjHYyTeHGjx8vERERRo/Zt29fo8c0Zp6myFFEpFmzZuLr62u0eJUrVxa1Wl1k41lKTGN/LiKm2W5j52mK7TaFgIAAo7+XlhDTFPuQKbabP4eMY9++fRIbG1voODwFZiS9e/fGf//9h61bt5o7lWfq06cPrly5UuTzJCLDXbt2DQ8fPkT58uUVF9PYLCFHKhwWQEREJmKq+1cRKdGUKVMwdOhQuLq6GiUeC6ACSktLw+rVq3H+/HmULl0aPXv2RKlSpQyKcejQIbi4uGjPZa5YsQKLFi3C5cuXUb58eQwbNgw9evQwKOa7776Lbt26oXHjxgat9yzz5s3Dvn370Lp1a/To0QMrVqzA9OnTkZ2djU6dOuHDDz+EtbW1wXFN8cshOzsbanXuoW3Z2dn477//DBo0JyKIj4+Ht7c3rK2tkZmZiV9++QUZGRlo3bq10b6EzZo1w9KlS432l2ZcXJx2v6xevbpB62ZkZECtVmuvfLpw4QKWLFmi3Sf79etn8Ln3n3/+Ga1atSr0jQufdvToURw8eBBNmzZFhQoVcOLECcyfPx/Z2dno2LEjwsPDDY65detW7NixA9evX4darUaFChXQrl07VKxY0eBYprjn0osUERGBadOmwcvLyyjxHj58iPj4eLi7u8PJyalQsZKTk7FmzRrtftm1a1eDYx48eBBBQUGFyiMvN27cwL///ougoCA4OTkhMTERy5YtQ3Z2Ntq0aYPAwECDY168eDHXfvnaa68V+ko1wDjvJWDc7c5rgkoRgZubG3bs2IGAgAAAKPz2F/okmkJUqVJFkpKSRETk8uXL4uPjI05OTlK3bl0pWbKkuLu7y8WLFw2KWaNGDdmyZYuIiCxevFjs7Oxk+PDhsnDhQhk5cqQ4ODjIt99+a1DMnDkYKlasKDNmzJDr168btP7Tpk6dKiVKlJDOnTuLp6enzJgxQ0qVKiUfffSRfPzxx+Lm5iaTJk0yOO65c+ekQoUKYmtrK6GhodKtWzfp1q2bhIaGiq2trfj7+8u5c+f0jpeSkiJdu3YVW1tbcXd3l4kTJ8qjR4+0yxMSEgw6B3369GkpX768qNVq8ff3l4sXL0pQUJDY29tL8eLFxdXVVc6ePWvQNv/66695PqysrGTevHna54YYPHiw3L17V0RE0tPTpXPnztr5N9Rqtbz66qva5foIDQ2VNWvWiMjj++1oNBqpUaOGdO/eXWrXri3FixeXXbt2GZSjSqUSR0dH6d+/v+zZs8egdfPz888/i5WVlZQqVUocHBxky5Yt4uzsLGFhYRIeHi5WVlbyww8/6B0vMTFR6tWrJ2q1WqytrUWtVktQUJB4enqKlZWVjB492uAcTXHPpczMTBk9erT4+flJ3bp1c/18MHQ/FxE5evRono9ixYrJL7/8on1uiJkzZ0p6erqIiDx69Ejef/997Xw71tbWEhERYdB8SB07dtTul//++6+4urqKm5ubBAcHi4eHh3h6esrJkycNylGlUomfn59MmzZNrl69atC6+cmZOFalUomnp6ccOXJEypYtKxUrVpTKlSuLRqORTZs26R3v3r170qVLF+28VGq1WrtPOjg4PPM+jfkxxXtp7O3OmUfo6UfOe5Dzb2GxANKTSqWSxMREERF58803pUGDBpKcnCwiInfv3pWwsDDp2bOnQTHt7OwkPj5eRERq164tX3/9tc7yH374QapWrWpwnn/99ZeMGDFCXF1dpVixYtKuXTvZsGGDZGVlGRRLRMTPz09+/vlnERE5cuSIWFlZyffff69dvm7dugLdDNXYvxyGDx8ulSpVkjVr1sjixYulfPny0qZNG8nIyBCRx78YVCqV3vHat28v7dq1k2PHjsnIkSOlSpUq0r59e8nMzJQHDx5I27ZtpVevXnrHExGdL29+D0O/1Gq1Wrtfjh8/XsqWLStbt26VtLQ02bFjh/j5+cm4ceP0jufo6Kgt7EJDQ+W9997TWT5hwgRp2LChQTmqVCr58MMPpXbt2qJSqaRatWry+eefy61btwyK86RXXnlFPvroIxER+emnn8TZ2Vk+/PBD7fJPPvlEatWqpXe87t27S4cOHSQlJUUePHggw4YNk969e4uISExMjJQqVUrmzJljUI6muOdSVFSUeHh4yOzZs+V///ufODk5yYABA7TLDd3PRZ69Xxb0l82T++Xs2bPFxcVFlixZIidOnJDvv/9e3N3dDZocz8XFRTsBXqtWreSNN97QfrczMzOlX79+BheTKpVK+vfvL+7u7mJtbS1t2rSRX375RecPJ0M1atRIhg4dKnfv3pXZs2dLmTJlZOjQodrlo0aNkgYNGugdb8CAAdKwYUM5fvy4nDt3Trp06SJjxoyRtLQ0+fbbb6V48eIGFfoipnkvjb3dZcqUkTZt2sjWrVslNjZWYmNjZdu2bWJlZSVLly7VthUWCyA9PVkAVahQQTZv3qyzfOfOneLt7W1QzFKlSsmBAwdERMTd3V2OHDmis/z8+fMG/4B8Ms/MzExZtWqV9i9iLy8v+eCDDww6smJnZyeXLl3SPi9WrJj8+++/2ufx8fFSvHhxg3LMiWvMXw7lypWTbdu2aZ/fvHlT6tWrJy1atJAHDx4Y/Jexm5ubHD58WEQe/xWmUqnkn3/+0S7fuXOnlCtXTu94IiItW7aUNm3aaD+fHNbW1nLixAmDYuV48vOuXr26/PjjjzrLf/31V6lUqZLe8ezt7bU/HD08PPLcJw29QeSTOR44cEAGDx4szs7OotFopGvXrrm+S/rmmTMLeXZ2thQrVkyOHTumXX7hwgWD8nR0dNTZr+/duyfFihXTFugrVqww+FY3pUuXlg0bNuS7/LfffpPSpUsbFNPf318n5rlz58Tf31/69u0r2dnZBToCVLNmTWnTpo2cOnVK4uPjJT4+XuLi4sTa2lq2bNmibTPEk5957dq15auvvtJZ/v3330u1atX0jmdnZyfnz58Xkcfv69M3MT1z5ow4OTkVKMeHDx/K2rVrpXXr1mJlZSUeHh4yZswYOXPmjEHxRB7vRzl5Pnz4UKytrbU/R0REzp49a1Cerq6u2t8RIo9vEWFraytpaWki8vgWLoYU+iKmeS+Nvd1JSUnSoUMHefXVV+W///7TthfmZ2VeOA+QAVQqFQDgwYMHKF26tM6yMmXK4ObNmwbFa9WqFRYuXAgACA0Nxdq1a3WWr169ulDjA4oVK4Zu3bohOjoaFy9eRP/+/fHDDz+gcuXKesfw9PTEyZMnAQDnzp1DVlaW9jkAnDhxAu7u7gbnZuyb5928eVNnDI2rqyv++usv3L17F61bt0Z6erpB+d27dw8lS5YEANjb28Pe3l7nM/f29kZiYqJBMf/88080b94cderUwe+//27Qus+Ss18mJCSgRo0aOstq1qyJK1eu6B0rODgYGzZsAAD4+fnh6NGjOsuPHDmifV8KIigoCAsWLMD169exePFi3Lx5Ey1btjR4XFGJEiWQlJQE4PEYhkePHmmfA0BSUhIcHBz0jqfRaLTvIwCo1WpkZWXh0aNHAIAGDRo8c3/NyzvvvIPevXvj888/x7Fjx5CYmIjExEQcO3YMn3/+Ofr27YsBAwYYFPPq1as647r8/f0RGxuLXbt24a233kJWVpZB8YDHN3r19/dH586dcfv2bZQvXx4+Pj4AAC8vL5QvX75A49Ny3s/Lly+jQYMGOssaNGiAuLg4vWPVqFFDe+Wqp6cnLl26pLP80qVLsLOzMzhHALC2tkbnzp3xxx9/4NKlSxg6dCjWrl2LKlWqoEmTJgbFsrGxwYMHDwA8HuOYnZ2tfQ4A9+/fN2hm8UePHumMc3FwcMCjR4+QlpYGAGjRogVOnz5tUI6meC+Nvd0lS5bEL7/8gq5du6JevXr46aefDMpHb0YrpV5yKpVKAgMDpXbt2uLg4JDrflrbt2+XMmXKGBTz6tWr4uPjI02aNJHIyEixs7OTRo0aSf/+/aVJkyZiY2Mjf/zxh8F5Pn2E4UnZ2dkG/cU9YcIEcXNzk3feeUd8fX1l3LhxUq5cOVm4cKEsWrRIvL29c50m0Yexb55XuXLlPN+ru3fvSkhIiNSsWdOgv4z9/Px0jvgsWLBAUlNTtc8PHjwonp6eesd70uHDh6Vq1aoyYMAASUtLK/QRoIEDB8p7770n7u7uuT7bgwcPiqurq97xdu3aJU5OThIVFSVffvmluLq6yoQJE+SHH36QSZMmibOzs8H39XnydEhezp07Jx988IFBMXv16iXBwcHy/fffS9u2bSU8PFzq168vp06dktOnT0toaKh06dJF73gdO3aUzp07y7179yQzM1NGjhypc2p3z549Bfq8jX1/JF9fX/nrr79ytV+9elUqVaokr732WoHHRmzcuFHKli0rH3/8sWRlZRV6v5w2bZp88cUXUrp06Vw3TD569Ki4uLjoHe/333+XkiVLytKlS2Xp0qXi4+Mj33zzjezcuVOWLFki3t7eBo/Tet5++ddff8kbb7xhUMz27dvL66+/Ljt27JABAwZInTp1pE2bNnLv3j1JS0uTLl26SMuWLfWO99prr+mcSpo9e7bOUcNDhw4Z9P0WMc17aeztftKJEyekZs2a0rNnT6MfAWIBpKfJkyfrPKKjo3WWjxo1Snr06GFw3Dt37sjYsWOlatWqYmtrKzY2NlK+fHl54403ZP/+/QbH8/HxKdTYiqdlZWXJtGnT5PXXX5ePP/5YsrOz5aeffhJvb28pVaqU9O3bV+7du1eg2Mb85fDuu+/m+wsvNTVVgoODDfrFMHDgQFm8eHG+y6dPny6tW7c2KMcnpaeny8CBA6VixYpiZWVV4C91aGioNG3aVPt4OuepU6dKaGioQTF37dol9evXzzUepEyZMgaPgxF5flFeEAkJCfLaa6+Jg4ODhIeHS3JysgwbNkznIoCcQ/L6uHDhgvj5+Ym1tbUUK1ZMnJ2ddYrJpUuXGjSW6mkXL16UXbt2ya5duwy+WOJJ/fr1k7fffjvPZf/995/4+/sXanBoQkKCtGrVSho3blyoXzbly5cXHx8f7ePzzz/XWT5nzhypX7++QTHXrl0rZcuWzTVeydbWVkaOHGnw2B1T7Jdnz56VihUrikqlkipVqsh///0n7dq1E2tra7G2thY3Nzc5ePCg3vEOHjwoJUuWFE9PTylXrpzY2NjITz/9pF0+b9487Vg1Qxj7vTT2dj8tIyND3nvvPalVq1ahvj9P42XwZHbGuHnenTt3cO3aNVSrVi3P5Xfv3sWhQ4cQGhpaqFxzxMXFwdbWNtepUENt2LABW7duxfjx4wt0KvF5Ll68CBsbG5QtW9bgdW/evImLFy8iOzsbpUuX1p4WMdSlS5dQrlw5nVNMpnLx4kWkp6cjICDA4KkZ0tPTsXPnTmRkZKB+/fpGm+bAmC5duoTTp0/ne4n/tWvXsGXLFvTp06dQrzN37lxs27YNX375ZYH2nefZs2cPNBoNateubdB6WVlZOHjwIOLi4rT7ZVBQEEqUKGFwDtu3b0fDhg0LNIXH8yQlJelMixITE4P79+8jJCTE4OlSrl+/jt9//x0ZGRlo1qwZqlatapQcs7KycOjQIZ3veEHfyxzG3O4XgQUQFUlXrlxBVFQUlixZUqD1jTFPkynjWUrMJ+N5eXmhR48eRS5HU+RZVOf5IlKqwsxvlh8WQFQkHT16FK+88oregzqrVq2KHTt2oGTJkrhy5QqaNGmCO3fuoFKlSrhw4QKsra2xZ88evY8uGTteXjEbN26M5OTkIhXzRWx3UXwvTfHZ1KxZE59++inCwsLwzTffYPjw4ejfvz+qVKmCM2fO4JtvvsEXX3yBt99+W++YgGkmELWEmJaQoylimno2cRFBbGystrgIDw83aMDy82J6eXmhRYsWBsUcMmQIZs2aBQcHB9y/fx9vvfUW1q1bB+Dx4PrQ0FD89ttvBl3okF+iRC9cfpMC5jw+//xzg8YyGHueJlPM+2QJMS0hR1PEtJR5vow9gailxLSEHC1lu1u1aqXdt5OSkiQ4OFhUKpW4ubmJWq2WgIAAuXHjhlljGnt+s/ywACKzMPakgMaep8kU8z5ZQkxLyNEUMS1lni9TzC5tCTEtIUdTxDRFjk/u64MHD5aqVatqBxZfuXJFgoKCZNCgQWaNaez5zfLDAojMwsvLS9avX5/v8sOHDxtcAOX8heHl5ZVrksX4+HixtbU1WzxLiWkJOZoipily7NWrl/Tr109ERLp27SoTJkzQWf7xxx9LYGCgQTFNMbu0JcS0hBxNEdMUOT5ZXFSuXDnX7Xf++usv8fX1NWvMJ7+Prq6uOpOUijz+Phq63XnhRIhkFkFBQTh48GC+y1UqFcTA4WnNmzfHK6+8gtTUVJw5c0Zn2aVLlwwexGrseJYS0xJyNEVMY8ebOXMmYmJiEBoaCm9vb3z66ado3LgxBgwYgNDQUEyePBkzZswwKKaxJxC1lJiWkKMpYpoiR+D/J6m8c+cO/Pz8dJb5+/vj2rVrZo85ceJEREZGQq1W51o3KSkJ9vb2Buf4NONf/0ekh9GjR2tnM82Lv78/tm3bpne8qKgonedPD47bsGEDGjdubLZ4lhLTEnI0RUxT5Ojl5YXDhw9jxowZ2LBhA0QE+/btw5UrV9CwYUPs3LkTderUMShmzuzSEydORPPmzXXuMB8TE4OPPvoI77777ksX0xJyNEVMU+QIAH379oVGo8HDhw8RFxenM31IQkJCgYoqY8Zs0qSJ9o+QqlWr5pqteuPGjflOeWKQQh9DIiKiF8bYs0tbSkxLyNEUMY0dr2/fvjqPVatW6SwfPXq0hIeHmz3ms1y4cEGuXLlS6Di8DJ6IyAIZYwJRS4xpCTmaIqYpcsxLWloarKysYGtrW6RjGkWhSygiIioSLl++LBEREYqLaQk5miKmJeRY0Jjp6enyzz//5Hk7lvv378uyZcsKnRePABERvSQMnUD0ZYlpCTmaIqYl5FiQmGfPnkWLFi1w+fJlqFQqNGrUCCtXrtTeeigxMRFeXl6FzpGDoImILMRvv/32zOUXL158KWNaQo6miGkJOZoi5tixY1G9enUcOHAAycnJGDlyJBo2bIjY2FiUK1fO4PzywyNAREQWQq1WP3eKCJVKZdBfxpYQ0xJyNEVMS8jRFDE9PDzw119/ITAwEMDjW2sMGTIEGzduxLZt22Bvb2+UI0CcB4iIyEKULl0a69atQ3Z2dp6PQ4cOvZQxLSFHU8S0hBxNEfP+/fuwtv7/E1QqlQoLFy5E27ZtERoairNnzxqcY15YABERWQhTTCBqCTEtIUdTxLSEHE0RMyAgAAcOHMjVPm/ePLRv3x7t2rUzKL/8cAwQEZGFMPYEopYS0xJyNEVMS8jRFDE7duyIn376CW+99VauZfPmzUN2djYWLVpkUI554RggIiIiUhyeAiMiIiLFYQFEREREisMCiIiIiBSHBRAREREpDgsgIiIiUhwWQERUJPXt2xcqlSrXo2XLluZOjYheApwHiIiKrJYtW2Lp0qU6bRqNxmSvl5mZCRsbG5PFJ6Kig0eAiKjI0mg08PT01Hm4uLgAeDy77DfffIOOHTuiePHiqFixYq6bMv77779o1aoVHBwc4OHhgbfeegu3bt3SLm/atCmGDRuGkSNHwtXVFeHh4QAe39yxYsWKsLW1xauvvoply5ZBpVIhOTkZaWlpcHR0xNq1a3Vea/369bC3t8fdu3dN/K4QkTGwACIiizVlyhR069YNx44dQ+vWrfHmm2/i9u3bAIDk5GQ0a9YMtWvXxoEDBxAdHY3ExER069ZNJ8ayZctgY2ODnTt3YtGiRYiLi0OXLl3QoUMHHD16FAMHDsT//vc/bX97e3v06NEj15GppUuXokuXLihRooTpN5yICk+IiIqgPn36iJWVldjb2+s8pk2bJiIiAGTChAna/vfu3RMA8ueff4qIyNSpU6VFixY6Ma9cuSIA5MyZMyIiEhoaKrVr19bpM3bsWKlevbpO2//+9z8BIHfu3BERkb1794qVlZVcu3ZNREQSExPF2tpaYmNjjfcGEJFJcQwQERVZr776KhYuXKjTVrJkSe3/a9Soof2/vb09HB0dcePGDQDA0aNHsW3bNjg4OOSKe+HCBVSqVAnA4xs5PunMmTOoW7euTlu9evVyPa9WrRqWLVuGcePG4fvvv0f58uXRpEmTAmwlEZkDCyAiKrLs7e3h7++f7/JixYrpPFepVMjOzgYA3Lt3D23btsXMmTNzrVe6dGmd1yiId955B/Pnz8e4ceOwdOlSREREQKVSFSgWEb14LICI6KX0yiuv4Oeff4aPjw+srfX/UVe5cmVs3LhRp23//v25+vXq1QtjxozB3LlzcfLkSfTp06fQORPRi8NB0ERUZGVkZCAhIUHn8eRVXM8ydOhQ3L59Gz179sT+/ftx4cIFbNq0CREREcjKysp3vYEDB+L06dMYO3Yszp49i9WrV+O7774DAJ0jPC4uLujUqRNGjx6NFi1aoGzZsoXaViJ6sVgAEVGRFR0djdKlS+s8GjVqpNe6Xl5e2LlzJ7KystCiRQsEBgZi5MiRcHZ2hlqd/48+X19frF27FuvWrUONGjWwcOFC7VVgT89B1K9fP2RmZuLtt98u+EYSkVmoRETMnQQRUVE2bdo0LFq0CFeuXNFpX7FiBd577z1cu3aNEygSWRiOASIiesqCBQtQt25dlCpVCjt37sTs2bMxbNgw7fL09HRcv34dM2bMwMCBA1n8EFkgngIjInrKuXPn0L59e1StWhVTp07F+++/j8mTJ2uXz5o1CwEBAfD09MT48ePNlygRFRhPgREREZHi8AgQERERKQ4LICIiIlIcFkBERESkOCyAiIiISHFYABEREZHisAAiIiIixWEBRERERIrDAoiIiIgU5/8AQKsQfOi2csgAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "minimum energy: 5.0\n" ] } ], "source": [ "plot_enumerate(DWaveSamples, title='Quantum annealing in default parameters')\n", "plot_energies(DWaveSamples, title='Quantum annealing in default parameters')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can play with the other parameters such as Annealing time, chain strength, and annealing schedule to improve the performance of D-Wave's Quantum Annealing." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }