From 3af63e87e334513f73ce4915b43fbdffd0ccc3eb Mon Sep 17 00:00:00 2001 From: Zargham Date: Sun, 22 Jul 2018 22:09:46 -0400 Subject: [PATCH] new runs! --- ...iscounted integral voting-checkpoint.ipynb | 381 ++++++++++++++++++ ABM - discounted integral voting.ipynb | 148 ++++--- passive_voting.isdb | Bin 4369408 -> 4369408 bytes passive_voting.stmx | 2 +- 4 files changed, 451 insertions(+), 80 deletions(-) create mode 100644 .ipynb_checkpoints/ABM - discounted integral voting-checkpoint.ipynb diff --git a/.ipynb_checkpoints/ABM - discounted integral voting-checkpoint.ipynb b/.ipynb_checkpoints/ABM - discounted integral voting-checkpoint.ipynb new file mode 100644 index 0000000..c364d90 --- /dev/null +++ b/.ipynb_checkpoints/ABM - discounted integral voting-checkpoint.ipynb @@ -0,0 +1,381 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import random\n", + "\n", + "from scipy.stats import gamma\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Discounted integral 'Voting'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Simple model proposed for implementing and testing a voting scheme\n", + "\n", + "- Assume a dynamic supply of governance tokens accessed by a bonding ETH (linear bonding curve)\n", + "- Assume this tokens also represent a stake in a revenue generating process\n", + "- The revenue generating process is has one parameter which is \"governed\" \n", + "- The revenue generated is random and there is a true \"best parameter\" unknown to the voters which may change\n", + "- The goal of the 'voting' system is for the selected parameter to trend toward the \"best parameter\" (even if it changes)\n", + "- In this set up, voting is completely passive, \"votes\" are automatically determined by each agents belief state and counted according to their balance of the 'Tokens' that representing their voting capacity\n", + "- An agent has the right to change their belief or preference at any time but the effect of their prior beliefs or prefences continues to influence the system, decaying in time according to the forgetfulness parameter\n", + "- These tokens also represent their stake in the pool of Ether being generated by the revenue process\n", + "\n", + "This is a sensor fusion problem -- coordination problem. The environment, the pool of agents, the process, the actions and the system updates have been made mind-numbingly noisy in order to show the effect of the di" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#Define the Revenue generating process\n", + "def revenue(true_best_param,current_voted_param ):\n", + " #use an concave function with unique maximum as true_best_param = current_voted_param\n", + " base_scale = 1\n", + " scale = base_scale*np.exp(-(true_best_param-current_voted_param)**2)\n", + " shape = .5\n", + " return gamma(scale, shape).rvs()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#test the revenue random variable as a function of how right the param is\n", + "N = 1000\n", + "bins = 10\n", + "d11=np.zeros(N)\n", + "d12=np.zeros(N)\n", + "d21=np.zeros(N)\n", + "d110=np.zeros(N)\n", + "d101=np.zeros(N)\n", + "for i in range(N):\n", + " d11[i] = revenue(1,1)\n", + " d12[i] = revenue(1,2)\n", + " d21[i] = revenue(2,1)\n", + " d110[i] = revenue(1,10)\n", + " d101[i] = revenue(10,1)\n", + "\n", + "plt.hist(d11, bins, alpha=0.5, label='d11')\n", + "plt.hist(d12, bins, alpha=0.5, label='d12')\n", + "plt.hist(d21, bins, alpha=0.5, label='d21')\n", + "plt.hist(d110, bins, alpha=0.5, label='d110')\n", + "plt.hist(d101, bins, alpha=0.5, label='d101')\n", + "\n", + "plt.legend(loc='upper right')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "#Lets assuming that all tokens in existence is given by T\n", + "\n", + "def bond_mint(eth, Eth, Tokens):\n", + " return eth*Tokens/Eth\n", + "\n", + "def burn_withdraw(tokens, Eth, Tokens):\n", + " return tokens*Eth/Tokens\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#define a set of agents\n", + "agents = {}\n", + "\n", + "#in this passive voting model agents maintain a belief or a preference as part of their state with respect\n", + "#to the contract the 'token' came from\n", + "#their belief or preference may be updated by them at will\n", + "def add_agent(eth, tbparam, Eth, Tokens):\n", + " agents[str(len(agents))] = {\"eth\":eth,\n", + " \"tokens\":0,\n", + " \"param_belief\": 2*tbparam*np.random.uniform(),\n", + " \"value_belief\":2*Tokens/Eth*np.random.uniform()}\n", + " \n", + "\n", + "def agent_acts(a, Eth, Tokens, r, p):\n", + " #update value belief\n", + " agents[a][\"value_belief\"] = 2*Tokens/Eth*np.random.uniform()\n", + " \n", + " #update tokens held -- buy or sell -- pretty naive with random belief and random amount\n", + " if agents[a][\"value_belief\"]0:\n", + " param[k] = votes[k]/count[k]\n", + " else:\n", + " param[k] = 1\n", + " rev[k] = revenue(true_best_param[k],param[k])\n", + " Eth = Eth+rev[k]\n", + " \n", + " #new agents join\n", + " if np.random.uniform()< np.log10(K/k):\n", + " new = int(2*np.random.uniform())\n", + " for i in range(new):\n", + " add_agent(gamma(5,1).rvs(), true_best_param[k], Eth, Tokens)\n", + " n[k]=len(agents)\n", + " \n", + " #pick some to update on the order of log of agents\n", + " active = random.sample(list(agents.keys()), int(np.log2(len(agents))))\n", + " for a in active:\n", + " Eth, Tokens, val = agent_acts(a, Eth, Tokens, rev[:k+1], param[:k+1])\n", + " agents[a] = val\n", + " \n", + " A[k] = len(active)\n", + " E[k] = Eth\n", + " T[k] = Tokens\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "k" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(range(K),n)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.hist(rev)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.hist((true_best_param-param)/true_best_param, bins=(np.arange(-1,1,.1)), density=True, alpha=.5)\n", + "plt.hist((true_best_param-param)/true_best_param, bins=(np.arange(-1,1,.1)), density=True, weights = rev, alpha=.25)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.semilogy(n, np.abs(true_best_param - param)/true_best_param, n, .1)\n", + "plt.title(\"Logscale absolute percent error\")\n", + "plt.labels([\"error\", \"10% reference\"])\n", + "plt.xlabel(\"Number of Agents\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(range(K), true_best_param, range(K), param )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(range(K), E/T)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(range(K), E, range(K), T)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(E, T)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.scatter(param,rev)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sns.kdeplot(param,rev)\n", + "plt.axis([4,6,0,4])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sns.jointplot(param, rev, kind=\"kde\", size=7, space=0, xlim=[4,6],ylim=[0,5])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/ABM - discounted integral voting.ipynb b/ABM - discounted integral voting.ipynb index 80c1e57..4dc53ba 100644 --- a/ABM - discounted integral voting.ipynb +++ b/ABM - discounted integral voting.ipynb @@ -64,9 +64,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -323,44 +323,34 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 8.04513681e-05, 0.00000000e+00, 0.00000000e+00, 1.60902736e-04,\n", - " 5.09008724e-04, 1.28404393e-02, 9.21238778e-02, 5.70530723e-01,\n", - " 2.71035714e+00, 6.61315611e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 2.41354104e-04,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]),\n", - " array([-2.00000000e+00, -1.90000000e+00, -1.80000000e+00, -1.70000000e+00,\n", - " -1.60000000e+00, -1.50000000e+00, -1.40000000e+00, -1.30000000e+00,\n", - " -1.20000000e+00, -1.10000000e+00, -1.00000000e+00, -9.00000000e-01,\n", - " -8.00000000e-01, -7.00000000e-01, -6.00000000e-01, -5.00000000e-01,\n", - " -4.00000000e-01, -3.00000000e-01, -2.00000000e-01, -1.00000000e-01,\n", - " 1.77635684e-15, 1.00000000e-01, 2.00000000e-01, 3.00000000e-01,\n", - " 4.00000000e-01, 5.00000000e-01, 6.00000000e-01, 7.00000000e-01,\n", - " 8.00000000e-01, 9.00000000e-01, 1.00000000e+00, 1.10000000e+00,\n", - " 1.20000000e+00, 1.30000000e+00, 1.40000000e+00, 1.50000000e+00,\n", - " 1.60000000e+00, 1.70000000e+00, 1.80000000e+00, 1.90000000e+00]),\n", - " )" + " 0.00000000e+00, 0.00000000e+00, 1.66618863e-04, 1.11095012e-02,\n", + " 5.99890619e-01, 6.28179818e+00, 2.94059390e+00, 1.65366177e-01,\n", + " 2.15563329e-04, 2.27537984e-04, 7.02105404e-05, 2.80842162e-04,\n", + " 7.02105404e-05, 0.00000000e+00, 2.10631621e-04]),\n", + " array([-1.00000000e+00, -9.00000000e-01, -8.00000000e-01, -7.00000000e-01,\n", + " -6.00000000e-01, -5.00000000e-01, -4.00000000e-01, -3.00000000e-01,\n", + " -2.00000000e-01, -1.00000000e-01, -2.22044605e-16, 1.00000000e-01,\n", + " 2.00000000e-01, 3.00000000e-01, 4.00000000e-01, 5.00000000e-01,\n", + " 6.00000000e-01, 7.00000000e-01, 8.00000000e-01, 9.00000000e-01]),\n", + " )" ] }, - "execution_count": 37, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -374,7 +364,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -383,15 +373,15 @@ "Text(0.5,0,'Number of Agents')" ] }, - "execution_count": 27, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -399,33 +389,33 @@ } ], "source": [ - "plt.semilogy(n, np.abs(true_best_param - param)/true_best_param, n, .1)\n", + "plt.semilogy(n, np.abs(true_best_param - param)/true_best_param, n, .1*np.ones(K,))\n", "plt.title(\"Logscale absolute percent error\")\n", - "plt.labels([\"error\", \"10% reference\"])\n", + "#plt.labels([\"error\", \"10% reference\"])\n", "plt.xlabel(\"Number of Agents\")" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, - "execution_count": 21, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -438,24 +428,24 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 12, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -468,25 +458,25 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, - "execution_count": 13, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -494,29 +484,29 @@ } ], "source": [ - "plt.plot(range(K), E, range(K), T)" + "plt.loglog(range(K), E, range(K), T)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 14, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -529,24 +519,24 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 15, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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ZPmm5WZjE3Dm1YkAnirnJqRnUTAZSrFje33KzkKV9yceAThRzVjvvl6utx/rHR4cSV39u4NH/OgZ0ophzOvBibDiPm9avTmRQ59H/OgZ0opiz6jZo9vidY2tx9w3r0Jew0sWktTLoFgM6UcxZDUm2enxsOI/1l6wMckk9l7Q3qG4xoBPFnNuh0cVSOdKj57rB2vo6Hv0niiCnfVmAeq7cLOVglVtPYr45zwoeAAzoRJHjpi8L0HlodPubQxLzzWzOVceUC1HEOO3LYrAbGm28OZQrVSjqbw7MNicXAzpRxFjlvsuVKkYmdrmquTZ7c0hitnnzjp+GvYRIYEAnihi7E51G+qU5qJvtwj/zyF5cvPnxRKZXzFRrCzxcBAZ0osjpNMW+Pf1itgtfUCBthR9JvNnrlueALiJ9IlISkW/7sSCitLOqH2/WnJZh0606fh/82aF/CsBBH56HiOAsMDWnZdh0q47fB48BXUQuBHAtgHv9WQ4RdQpMzSWJQL1kL5vpC3pZkdcpVZUGXnfo9wD4HIAFH9ZCRLAP0M0liQajbHGlxZCLtHCSqkq6rg8Wich1AI6q6h4RudLmuo0ANgLA6tWru305otQwgrXTk6KG12rp3lcxhw6IdnkrXETuAnALgDkAZwN4PYAdqnqz1Z8pFAo6PT3d1esRpVn7ac81b8ji6eePY14VfSJY3i+opjygrxzIoPTF94W9jECIyB5VLXS6rusduqpuBrC58WJXAvgHu2BORN35QnE/tj59aPFAULlSbakvn1dFtZayGkUTaSvTNMM6dKIIK5bKLcGcrLVPaEojX5pzqer3AXzfj+ciojMmp2YYzB1i2SJ36ESR5uZG3zI500Y2jQ242HGRAZ0o0tzsOq+45Dzs3rQBL0xci5vWr07dFJ9OVUBpwIBOFGFuDg298Pv6br5YKuPRPWVO8UkhBnSiCDPrdW7FSM+YNeuidODEIqKIGxvOt6QTRiZ2mbbFPTdbPynKAzbpxR06UYQVS2WMTOzCxZseXxxuMT46hMyypfnxE6fnUCyVU1vtwX7oDOhEkWU2uMKYLXrO2Ut/uK7NKyanZlLbpMquH7rZG6OX66KKKReiiLKaLfrZR/ZZ3vA8UqmmtkmV1XQmp0O33Q7njiLu0IkiyioXble9siqXTc3YuXZWZZpOh267Hc5tJcxdPgM6UUS5zYULgDVvSGf+HLB+o7N6Y2x/3Ol1dqzSZL0K6gzoRBHldnCFAtj93LHgFhQDXyjuX/KY1Rtj++NOr7Pj1y6/WwzoRBFl1KCbFLSQhYeeeXHJY2ZvjO1Tn9xcZ8ePXb4XDOhEETY2nMcCD3w6ZpV2Oav/TKhbOZBZMvUJMD/EZXadHT92+V6wyoUowuJWNhe29huj7ZUrgP1kp/ZDXG6Njw4teT23u3wvuEMnirA7HjsQ9hJi5cZ3X9Tyca9z2n7s8r3gDp0owo6f5NAGNwpvPq/l4zBy2l53+V5wh04UUUy3uNe+8/Y7px31k6QM6EQRVCyVMb59X9jLiJ32Q1VWpZ8nTs25DsZh15g7wYBOFEF3PHYAtXmWt3SjOcAaOe2VA5mWayrVmutgHHaNuRMM6EQRxNx599oD9dhwHgPLl94utArGVmmVsGvMnWBAJ6JEMQvUVv1t2h+3S6uEXWPuBAM6ESVOuVJt2aVbNe5qf9wureLHSdKgsWyRiBKpufWt1QnS9sft0ipGKeLk1AyOVKpYlctifHQoUq11uw7oInIRgK8D+CMACwC2qOqX/FoYUVpFqWoizppTL30ipkG9fUarVfthI60SZo25E15SLnMAPquqfwxgPYBPiMjb/FkWUXpFqWoi7sqVKsa3mw8ECapBV5i63qGr6ksAXmr8/hUROQggD+DnPq2NKJWiVDWRBGbln8sElg26gGinVez4clNURNYAGAbwjB/PR5RmUaqaSKoFtR4rNzacx+5NG3D3DesAAJ9+eG8kT4Wa8RzQReQcAI8CuFVV/2Dy+Y0iMi0i07Oz6Zx1SORGWoc8+0kArFjufDhIuzicCjXjKaCLSAb1YL5VVXeYXaOqW1S1oKqFwUH+RSXqJK1Dnv1gdDi8+4Z1OHl63vK6gYx96IvDqVAzXqpcBMB9AA6q6r/5tySidEvrkGevzupfhpk737/48eTUjOX3cnm//e69m1OhxVI59Ny7lx36CIBbAGwQkb2N//7Cp3URpZbVIRiyd2ruzOCKYqmME6fmLK99uWrfWsHtqdCopGi8VLn8EPWfcIjIR1aHYKgzY0j01qcPwe67eHaHlIvbyUN2KZpe7tJ59J8oYrhD796DTx/Cgx2COQBUawuLwd+M28lDUWncxaP/RBHDHXpvfOOZQyi8+TzLvLebU6GdTpj2CnfoRJRKCwqMb9vnKu9t1VrX7IRppk9w4tRcT6cbcYdORKlVW2j9acgu723c+DRy5cYbALD0hGluIINXX5tDpXHz1ezaIHCHTkTUxCrv3ak23Thh+quJazGwvN/yzSJIDOhEERL1k4hpkGsbV2dwc+MzrJukDOhEEWH8SE/hevU18wHSVjc4z80ufQMIa7oRc+hEEWH2Iz31Xm1BF/Pozac/zQI3ALxyag7r7ngCL1drODebgUh9JqwALeWTvWjDy4BOFBFsmxsdRxoj7JpvglYsTpfOL+ji55qvUWAxqOd71AqAAZ0oIqxqman3VuWyvvzEZATz3Zs2+LOwDphDJ4oIs1pm6j0jNeLXT0y9/MmLO3SiiDB+HL/14b0hryTdqrV5fOaRvR3bBzjVy9Oi3KETRUhcRp0lzbK29jkLPkVzAXo6j5QBnYhSz68A3k7R2zdpplyIiAIiAEYmdvVs6AUDOpFDUZhIQ/FiNP0CetPPhQGdyAEnjZmM6xj0yUrQQy8Y0AN001d+hN3PHVv8eOQt52Hrx68IcUXO2AWlYqmM23ceWHLIYuVABrd94LKeBK8gg2b712d8XVaNmW7feaDle8OgT50EedaAN0UD0h7MAWD3c8dw01d+FNKKnLGbjVgslTG+bZ/pibnjJ2sY374v8OZSQc5uNPv6jK/L6h9hpVpbfG0nk+KjMnuSwhPkRCoG9IC0B/NOj0eFXVCanJpZ0hK0WW1eA28P6iRoenlus6+vNq+2/wiN13bSYS/I9VM8BDmRigGdWtgFJScn3oI+FRdkW1K757D7R2j8OScd9qIye5LCkw/woBEDOrWwC0pOTrwFfSouyLakds+Rz2Wx0qJPtvHnzI7ut3fYC6utKkVHkAeNGNADMvKW81w9HhV2QWl8dAiZ9iN1TTJ9EvipOCdB08tzm319xtd12wcus31tJ5Pinaz/Ta9b7vlroWh66xtXBHoDXLSHE8YLhYJOT0/37PXCxiqX3q/Pj+c2q3Jp/vq9vraT53j3vzyJ375y2tXztvffBuo34OZVl/yay2Zw4lQNtQVXLxFZ99ywDpNTMyhXqotfY3PL2k7/X9s1/z8aWN6HE6e996n38u9fRPaoaqHjdV4CuohcA+BLAPoA3KuqE3bXpy2gExH5wWlA77oOXUT6APwHgD8HcBjAj0Vkp6r+vNvntMK6XSKizrzk0N8F4Jeq+ryqngbwTQAf8mdZZ7Bul4jIGS8BPQ/gxaaPDzce8xXrdomInPES0M3KHZYk5EVko4hMi8j07Oys6xdh3S4RkTNeAvphABc1fXwhgCPtF6nqFlUtqGphcHDQ9YuwbpeIyBkvAf3HAN4qIheLyHIAfw1gpz/LOiPIumMioiTpuspFVedE5O8BTKFetni/qh7wbWUNRjULq1yIiOzxYBERUcQ5rUPn0X8iooRgQCciSggGdCKihGBAJyJKCAZ0IqKE6GmVi4jMAvi1h6c4H8DvfFpOL8V13UB81x7XdQNcexiivu43q2rHk5k9Deheici0k9KdqInruoH4rj2u6wa49jDEdd3tmHIhIkoIBnQiooSIW0DfEvYCuhTXdQPxXXtc1w1w7WGI67pbxCqHTkRE1uK2QyciIguxCOgico2IzIjIL0VkU9jrcUpE7heRoyLys7DX4oaIXCQiT4nIQRE5ICKfCntNTonI2SLyvyKyr7H2O8Jekxsi0iciJRH5dthrcUNEXhCR/SKyV0Ri1YFPRHIisl1Enm38nb8i7DV1K/Ipl8Yw6l+gaRg1gBuDGEbtNxF5D4BXAXxdVS8Pez1OicgFAC5Q1Z+IyOsA7AEwFpPvuQBYoaqvikgGwA8BfEpVnw55aY6IyGcAFAC8XlWvC3s9TonICwAKqhrlWm5TIvIAgP9R1Xsbsx0GVLUS9rq6EYcdek+GUQdBVX8A4FjY63BLVV9S1Z80fv8KgIMIYF5sELTu1caHmcZ/0d61NIjIhQCuBXBv2GtJCxF5PYD3ALgPAFT1dFyDORCPgN6TYdRkTkTWABgG8Ey4K3GukbbYC+AogCdVNS5rvwfA5wAshL2QLiiAJ0Rkj4hsDHsxLlwCYBbAVxuprntFZEXYi+pWHAK6o2HU5D8ROQfAowBuVdU/hL0ep1R1XlXXoT7n9l0iEvl0l4hcB+Coqu4Jey1dGlHVdwB4P4BPNNKNcdAP4B0AvqyqwwBOAIjNfbp2cQjojoZRk78a+edHAWxV1R1hr6cbjR+dvw/gmpCX4sQIgA82ctHfBLBBRB4Md0nOqeqRxq9HAXwL9VRpHBwGcLjpp7jtqAf4WIpDQO/JMGo6o3Fj8T4AB1X138JejxsiMigiucbvswDeC+DZcFfVmapuVtULVXUN6n/Hd6nqzSEvyxERWdG4eY5GuuJ9AGJR2aWqvwHwoogYU+evBhD5m/9Wuh4S3Su9GkYdBBF5CMCVAM4XkcMAblPV+8JdlSMjAG4BsL+RiwaAz6vqd0Jck1MXAHigUR21DMAjqhqrEsAYehOAb9X3AegH8A1V/W64S3LlkwC2NjaMzwP4WMjr6VrkyxaJiMiZOKRciIjIAQZ0IqKEYEAnIkoIBnQiooRgQCciSggGdCKihGBAJyJKCAZ0IqKE+H9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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -559,7 +549,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -568,15 +558,15 @@ "[4, 6, 0, 4]" ] }, - "execution_count": 16, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -590,24 +580,24 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 17, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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