{ "cells": [ { "cell_type": "markdown", "id": "42feb0bb-2431-4ba8-9013-b3c15d026027", "metadata": { "panel-layout": { "height": 127.8551025390625, "visible": true, "width": 100 } }, "source": [ "# Conformal Test Martingales" ] }, { "cell_type": "markdown", "id": "07e752b2-a3c6-4323-8c3c-e0d759398ad9", "metadata": {}, "source": [ "## Importing packages" ] }, { "cell_type": "markdown", "id": "7b919e74-9a79-4808-b9dd-c75214791fba", "metadata": {}, "source": [ "We start by importing some packages needed for this tutorial, in particular the `WrapRegressor` from the main `crepes` module, as well as betting functions and algorithms for generating conformal test martingales from the `crepes.martingales` module." ] }, { "cell_type": "code", "execution_count": 1, "id": "c206bd48-4e51-40f8-b707-56f2d228a990", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "crepes v. 0.9.0\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "np.set_printoptions(legacy='1.25')\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import TABLEAU_COLORS as colors\n", "colors = list(colors.keys())\n", "\n", "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n", "from sklearn.datasets import fetch_openml\n", "\n", "import rdkit # Used in the Lipophilicity example; install with \"%pip install rdkit\"\n", "from rdkit.Chem import AllChem\n", "\n", "from crepes import WrapRegressor, __version__\n", "\n", "from crepes.martingales import (\n", " EpsilonBettingFunction,\n", " StepBettingFunction,\n", " semi_online_p_values,\n", " SimpleJumper, \n", " SleeperStayer, \n", " SleeperDrifter, \n", " CompositeMartingale\n", ")\n", "\n", "print(f\"crepes v. {__version__}\")" ] }, { "cell_type": "markdown", "id": "3dad43e3-1b7f-46c3-bea7-77e8a14f8ba4", "metadata": {}, "source": [ "## Betting functions" ] }, { "cell_type": "markdown", "id": "401ccbb5-641e-4f03-bd34-a70e0b349b83", "metadata": {}, "source": [ "A betting function $f: [0, 1] \\rightarrow [0, \\infty]$ maps p-values to non-negative real numbers such that its integral over the possible p-values equals to one, i.e., $\\int_0^1\\,f(u)\\,du = 1$.\n", "\n", "We will here take a look at two betting functions; the `EpsilonBettingFunction` and the `StepBettingFunction`." ] }, { "cell_type": "markdown", "id": "e4f39b45-e31f-47dd-9e71-cbd41b7872f3", "metadata": {}, "source": [ "### Epsilon betting function" ] }, { "cell_type": "markdown", "id": "4fd15ec8-1af4-4ed3-ba06-91415b9f3668", "metadata": {}, "source": [ "The epsilon betting function is defined by a parameter $\\epsilon$ which determines the slope of the function; given a p-value $p$, the reward is $f_{\\epsilon}(p) = 1 + \\epsilon (p - 0.5)$. \n", "\n", "We here plot the rewards for five choices of $\\epsilon$." ] }, { "cell_type": "code", "execution_count": 2, "id": "1cd58176-be5d-48b4-88db-98d939b40ba3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_values = np.arange(0,1.01,0.01)\n", "\n", "E = [-1, -0.5, 0, 0.5, 1]\n", "\n", "rewards = EpsilonBettingFunction(E = E).apply(p_values)\n", "\n", "for i, epsilon in enumerate(E):\n", " plt.plot(p_values, rewards[:, i], label=r\"$\\epsilon = $\" + str(epsilon))\n", " \n", "plt.ylim(0,2.5)\n", "plt.xlabel(\"p-value\")\n", "plt.ylabel(r\"$f_{\\epsilon}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1cb2d0f8-1ff4-4025-b51a-d62b0202e5ac", "metadata": {}, "source": [ "### Step betting function" ] }, { "cell_type": "markdown", "id": "d1628790-afe4-4937-b33a-c62f477bc082", "metadata": {}, "source": [ "The step betting function is determined by the parameters $a$ and $b$; p-values less than or equal to $a$ will be given a reward of $b/a$, while p-values higher than $a$ will be given a reward of $(1-b)/(1-a)$.\n", "\n", "We will here choose values from a grid, where $a$ and $b$ are taken from $\\{1/G, \\ldots, (G-1)/G \\}$ for some value G. \n", "\n", "We set $G = 10$ which hence results in a grid of 81 pairs of values; we visualize the corresponding betting functions for a small subset of these pairs." ] }, { "cell_type": "code", "execution_count": 3, "id": "fca227c8-0262-4a9a-896f-0946e3cc80b3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_values = np.arange(0, 1.001, 0.001)\n", "\n", "G = 10\n", "\n", "rewards = StepBettingFunction(G=G).apply(p_values)\n", "\n", "Gs = [j/G for j in range(1,G)]\n", "\n", "pairs = list(enumerate([(a,b) for a in Gs for b in Gs]))\n", "\n", "selection = [12, 24, 47, 58, 72]\n", "\n", "for i, (a, b) in pairs:\n", " if i in selection:\n", " plt.plot(p_values, rewards[:,i], label=\"(a,b) = \"+str((a,b)))\n", "\n", "plt.ylim(0,10)\n", "plt.xlabel(\"p-value\")\n", "plt.ylabel(\"$f_{a,b}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7681cdf0-4ca3-45c8-8431-02d7721c3b12", "metadata": {}, "source": [ "### Step betting function with drift" ] }, { "cell_type": "markdown", "id": "15ac84c0-36fc-4338-bbe9-55911d5ab7e6", "metadata": {}, "source": [ "We may also employ a step betting function where the threshold is drifting; instead of using a fixed threshold $a$, a weighted average $a \\, w + b \\, (1 - w)$ may be used where $w$ decreases with the number of observed p-values; the weight $w_i$ for p-value $p_i$ is given by $w_i = (s+1)/(s+i+1)$ where $s$ (the start index) is a parameter. Below, we show the rewards from the step betting function without and with drift, using three different start indices, given a specific p-value and pair of values for $a$ and $b$, varying only the index of the p-value.\n", "\n", "It can be seen that for low indices the rewards of the drifting functions are close to the original (non-drifting) step betting function, while the rewards are approaching 1 as the number of observed p-values increase (where the pace depends on the start index). " ] }, { "cell_type": "code", "execution_count": 4, "id": "5d915e75-2415-498c-b265-dc7d9147c142", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = 0.05\n", "\n", "n = 500\n", "\n", "a = 0.1\n", "b = 0.8\n", "\n", "Gs = [b]\n", "\n", "p_values = np.full(n, p)\n", "\n", "rewards_s_100 = StepBettingFunction(Gs = Gs, A = a, s=100).apply(p_values)\n", "rewards_s_200 = StepBettingFunction(Gs = Gs, A = a, s=200).apply(p_values)\n", "rewards_s_300 = StepBettingFunction(Gs = Gs, A = a, s=300).apply(p_values)\n", "\n", "rewards_c = StepBettingFunction(Gs = Gs, A = a).apply(p_values)\n", "\n", "\n", "plt.plot(np.arange(n), rewards_c, label=\"no drift\")\n", "\n", "plt.plot(np.arange(n), rewards_s_100, label=\"s = 100\")\n", "plt.plot(np.arange(n), rewards_s_200, label=\"s = 200\")\n", "plt.plot(np.arange(n), rewards_s_300, label=\"s = 300\")\n", "\n", "plt.ylim(0,8.5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "075b9be5-d448-4532-8abb-14e65dae477b", "metadata": {}, "source": [ "Alternatively, we can create a `StepBettingFunction` without specifying any start index, an instead provide this when calling the `apply` method." ] }, { "cell_type": "code", "execution_count": 5, "id": "6623b2ed-a4f2-4f2b-9ad5-193274fcc0f5", "metadata": {}, "outputs": [], "source": [ "bf = StepBettingFunction(Gs = Gs, A = a)\n", "\n", "rewards_s_100 = bf.apply(p_values, s=100)\n", "rewards_s_200 = bf.apply(p_values, s=200)\n", "rewards_s_300 = bf.apply(p_values, s=300)" ] }, { "cell_type": "markdown", "id": "56006965-ad82-4614-a204-9690fe0ac97b", "metadata": {}, "source": [ "## Synthethic data" ] }, { "cell_type": "markdown", "id": "a483ab5c-3c5f-47a1-b274-95ae3e2122d9", "metadata": {}, "source": [ "We will consider a scenario, where a sequence of nonconformity scores (of length $n$) is observed, with a random change point (at time $t$), after which the distribution of non-conformity scores changes abruptly; the scores drawn before and after the change come from two different normal distributions. \n", "\n", "You may rerun the example multiple times with other seeds (or just manually modify the means and standard deviations) to see whether the different algorithms are able to detect a violation of the exchangeability assumption. You may also consider using the same distributions, for which the probability of incorrectly signaling for a change is less than or equal to $1/c$, where $c$ is the employed threshold. " ] }, { "cell_type": "code", "execution_count": 6, "id": "d03b65f3-8b28-464f-8a07-8ba3951c70f8", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "mu_1 = 0 \t std_1 = 1\n", "mu_2 = 0.089 \t std_1 = 0.255\n" ] } ], "source": [ "np.random.seed(list(b\"ALRW\"))\n", "\n", "n = 2000 # Length of sequence\n", "\n", "c = 100 # Threshold to signal drift; P(false alarm) <= 1/c\n", "\n", "mu_1 = 0 # Original mean\n", "\n", "std_1 = 1 # Original standard deviation\n", "\n", "t = np.random.randint(1,n-1) # Random change point\n", "\n", "alphas = np.zeros(n) # Non-conformity scores\n", "\n", "alphas[:t] = np.random.randn(t) * std_1 + mu_1\n", "\n", "mu_2 = mu_1 + 0.1 * np.random.randn() # Changed mean\n", "\n", "std_2 = 1.5 * np.random.rand() # Changed standard deviation\n", "\n", "alphas[t:] = np.random.randn(n-t) * std_2 + mu_2\n", "\n", "plt.plot(alphas)\n", "\n", "ymin, ymax = plt.axis()[2:]\n", "\n", "plt.plot([t, t], [ymin, ymax], linestyle='dashed', c=\"grey\")\n", "\n", "plt.show()\n", "\n", "print(f\"mu_1 = {mu_1} \\t std_1 = {std_1}\")\n", "print(f\"mu_2 = {mu_2:.3f} \\t std_1 = {std_2:.3f}\")" ] }, { "cell_type": "markdown", "id": "8567b6b8-4c11-4bf4-a4ad-68c0043b4885", "metadata": {}, "source": [ "In order to get p-values from the above non-conformity scores, we employ the function `semi_online_p_values`, i.e., the p-value for each non-conformity score is computed with respect to the preceding non-conformity scores only. If the non-conformity scores would be exchangeable, then the p-values would be independent and uniformly distributed over [0, 1]." ] }, { "cell_type": "code", "execution_count": 7, "id": "faa26f82-2505-4af7-8413-7d1b15dba613", "metadata": {}, "outputs": [], "source": [ "p_values = semi_online_p_values(alphas)" ] }, { "cell_type": "markdown", "id": "618df062-ebf9-4f28-8752-f39f0d54719c", "metadata": {}, "source": [ "We will use the following function for plotting the martingales (after they have been applied to the observed sequence of p-values)." ] }, { "cell_type": "code", "execution_count": 8, "id": "5556f9da-d350-40a0-94be-b22582a60539", "metadata": {}, "outputs": [], "source": [ "def plot_martingales(all_martingales, change_point=None):\n", " plt.yscale(\"log\")\n", " plt.ylim(1e-9, 1e9)\n", " ymin, ymax = plt.axis()[2:]\n", " \n", " signals = []\n", " early = []\n", " correct = []\n", " \n", " for i, label in enumerate(all_martingales):\n", " martingales = all_martingales[label]\n", " plt.plot(np.arange(len(martingales)), martingales, label=label, c=colors[i])\n", " too_large = np.argwhere(martingales > c)\n", " if len(too_large) > 0:\n", " drift_index = too_large[0,0]\n", " signals.append((drift_index, label))\n", " if change_point is not None:\n", " if drift_index >= change_point:\n", " correct.append((drift_index, label))\n", " else:\n", " early.append((drift_index, label))\n", " plt.plot([drift_index, drift_index], [ymin, ymax], linestyle='dotted', \n", " label=\"_\", c=colors[i])\n", " \n", " plt.legend()\n", " \n", " if change_point is not None:\n", " plt.plot([change_point, change_point], [ymin, ymax], linestyle='dashed', c=\"grey\")\n", "\n", " plt.show()\n", "\n", " if len(signals) > 0:\n", " print(\"Signals:\")\n", " for i, label in sorted(signals):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")\n", " \n", " if len(early) > 0:\n", " print(\"Too early:\")\n", " for i, label in sorted(early):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")\n", " \n", " if len(correct) > 0:\n", " print(\"Correct:\")\n", " for i, label in sorted(correct):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")" ] }, { "cell_type": "markdown", "id": "27bb13d2-7832-4b9b-a963-bac28e547c6b", "metadata": {}, "source": [ "### Simple Jumper" ] }, { "cell_type": "markdown", "id": "1b3ea245-85f1-4d4c-9a96-4692e0b49162", "metadata": {}, "source": [ "We first consider martingales generated by two variants of `SimpleJumper`, using the (default) `EpsilonBettingfunction` and the `StepBettingFunction`, in both cases using the default settings of the betting functions." ] }, { "cell_type": "code", "execution_count": 9, "id": "dba68b3a-6265-41a5-a81b-db51432707a8", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "875 : \t SimpleJumper (step)\n", "\n", "Correct:\n", "875 : \t SimpleJumper (step)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper, change_point=t)" ] }, { "cell_type": "markdown", "id": "7c654daf-89a7-45de-973a-3f8831c56bac", "metadata": {}, "source": [ "### Sleeper/Stayer" ] }, { "cell_type": "markdown", "id": "e0d69f7b-bbba-4c6f-b71f-b3611706fa8b", "metadata": {}, "source": [ "We also consider martingales generated by `SleeperStayer`, again using the `EpsilonBettingfunction` and the (default) `StepBettingFunction`." ] }, { "cell_type": "code", "execution_count": 10, "id": "f67eba7f-0cee-4cf6-aedc-1ae5e1590291", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "852 : \t SleeperStayer (step)\n", "1295 : \t SleeperStayer (epsilon)\n", "\n", "Correct:\n", "852 : \t SleeperStayer (step)\n", "1295 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer, change_point=t)" ] }, { "cell_type": "markdown", "id": "63b0ef30-1460-4362-a153-a5262a2679b4", "metadata": {}, "source": [ "### Sleeper/Drifter" ] }, { "cell_type": "markdown", "id": "034aa256-890e-47be-9a32-75a5da78e86c", "metadata": {}, "source": [ "Below we plot the martingales generated by `SleeperDrifter` for three betting functions. In addition to the `EpsilonBettingfunction` and non-drifting `StepBettingFunction` that were used above, the latter is used also with drift, which is the default for Sleeper/Drifter. The `apply` method of the `StepBettingFunction` is called with a start index by default, when used within `SleeperDrifter`." ] }, { "cell_type": "code", "execution_count": 11, "id": "c54b4e4f-7ee4-4931-9668-cdb07b39fca5", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "853 : \t SleeperDrifter (step)\n", "854 : \t SleeperDrifter (step & drift)\n", "1294 : \t SleeperDrifter (epsilon)\n", "\n", "Correct:\n", "853 : \t SleeperDrifter (step)\n", "854 : \t SleeperDrifter (step & drift)\n", "1294 : \t SleeperDrifter (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter, change_point=t)" ] }, { "cell_type": "markdown", "id": "c1c93223-6981-447e-9169-a76a73fe59bc", "metadata": {}, "source": [ "### Composite martingale" ] }, { "cell_type": "markdown", "id": "2e11a325-cffc-4895-ad6c-c218b1a7ad00", "metadata": {}, "source": [ "We may also form a martingale by averaging the output of multiple martingales; this can be done using a `CompositeMartingale` which upon creation takes a list of martingales as input." ] }, { "cell_type": "code", "execution_count": 12, "id": "d4d46410-5369-484c-9989-1533b3dc9bf6", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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aRVFRkdfOV5WYmJgrMhtuTZDkRYh6QqvVcvfdd1/Ssf7BjUj8cXe19++59+w8EsGNpaK0EMK7pNtICOFVdocdo/ns+5AmkrwIIbxLkhchhFcVWgoJO6flW2uSeV6EEN4lyYsQ9YTFYuG1117jtddew2KxeHRsSe4J1l7fnrXXt6ck98RF980353M44uz76lYBFkKI6pIxL0LUI5XVQ6kOBTsN888uX0yBuQD16TGAUW9Mv6TrCSHExUjyIoSokp8pHPOMv7qWLya/OMNVGkAb1aqmQxNC1EOSvAghqqQ1+NPljmnV2jc/P41Wpc5lTZOoGoxKiMujUqlYsmQJo0aN8nUowkMy5kUI4VVF2aloTncbaRs08G0wol7Lzs7mwQcfJDo6GoPBQOPGjRkyZAibNm3ydWiXZMeOHQwfPpxGjRrh5+dHTEwMY8aM4eTJkwCsXr0alUpFfn6+bwO9Ampdy8v+/fsZM2aM2/svvvhCMmMhfMhaVsym9/4OQI+Jb6HzN11w37Is54Beq0GFqgbrJwlRldGjR2O1Wvnkk09o0aIFWVlZrFq1iry8PF+H5hGLxUJ+fj433ngjI0aMYMWKFYSEhJCamsr3339PaWmpr0OswG63o1Kpaqx4Y61reWnbti3JyckkJyezfv16AgICGDRokK/DEqJeM5eeouH762n4/nrMpacuuq8lNwcAa4DmSoQmRKXy8/NZv349s2bNon///jRv3pzrrruOadOmMWzYsEqPOX78OGPGjKFBgwaEhYUxcuRIjhw54rbPwoULad++PX5+frRr14758+e7th05cgSVSsWXX35Jz5498fPzo0OHDqxevdrtHHv27OGmm27CZDIRERHB2LFjXa0nAP369WPy5MlMnTqV8PBwBg0axMaNGyksLOSjjz7immuuITY2lgEDBjB37lyio6M5cuQI/fv3B6BBgwaoVCruvfdeAJYvX84NN9xASEgIYWFhDB8+nJSUFNf1BgwYwOTJk91izM3NxWAw8OuvvwLOBOqpp56iadOmBAQE0L17d7f7WrRoESEhIfzwww/ExcVhMBg4evRotb5Xl6LWJS/n+v777xk4cCABAQG+DkWIOk+lUtG8eXOaN2/u8ePLarWOtCg1aVFq1GrdRfe1nXLWPlICqy4jIOooRQFLyZV/eTCVvclkwmQysXTpUsxmc5X7l5aW0r9/f0wmE2vXrmX9+vWYTCaGDh3qmlrgww8/5LnnnuPVV19l7969vPbaazz//PN88sknbud68sknefzxx9mxYwc9e/bk5ptvJjc3F4CMjAz69u1Lly5d2LZtG8uXLycrK4s77rjD7RyffPIJWq2WDRs28P7779O4cWNsNhtLliypdEr/qKgovvnmG8DZY5GRkcHbb78NQElJCVOnTmXr1q2sWrUKtVrNLbfcgsPhnAl7woQJfP75525fp88++4zIyEhXQnTfffexYcMGvvzyS3bt2sXtt9/O0KFDOXjwoNvXcObMmXz00Uf8+eefNGpUg0VZFS9bs2aNMnz4cKVJkyYKoCxZsqTCPu+++64SExOjGAwGpWvXrsratWsrPdfIkSOVb775xqPrFxQUKIBSUFBwKeELIS5H6nplzsNxyp627ZSk2/v6OhrhBWVlZcqePXuUsrKysyvNxYoyPejKv8zFHsX+3//+V2nQoIHi5+en9OzZU5k2bZqyc+dO1/ZzP6P+9a9/KW3btlUcDsfZ2zSbFX9/f2XFihWKoihKVFSU8vnnn7td4+WXX1Z69OihKIqipKamKoDy+uuvu7ZbrValWbNmyqxZsxRFUZTnn39eGTx4sNs50tPTFUDZv3+/oiiK0rdvX6VLly4V7ufZZ59VtFqtEhoaqgwdOlSZPXu2kpmZ6dr+22+/KYBy6tSpi35dsrOzFUDZvXu3oiiKUl5eroSGhiqLFy927dOlSxflxRdfVBRFUQ4dOqSoVCrl+PHjbucZOHCgMm3aNEVRFGXhwoUKoCQnJ1/02pX+PJ3myee311teSkpK6Ny5M/Pmzat0++LFi5kyZQrPPfccO3bsoHfv3iQmJpKWlua2X2FhIRs2bOCmm27ydohCiJpQeAIW3YS6xDkPjLZBiG/jEfXe6NGjOXHiBN9//z1Dhgxh9erVdO3atdJiiklJSRw6dIjAwEBXq01oaCjl5eWkpKSQk5NDeno648ePd203mUy88sorbl0wAD169HAta7VaunXrxt69e13X+e2339zO0a5dOwC383Tr1q1CjK+++iqZmZm89957xMXF8d5779GuXTt277543bGUlBTuvvtuWrRoQVBQELGxsQCuz12DwcBf/vIXPv74YwCSk5PZuXOnq9tp+/btKIpCmzZt3OJes2aNW8x6vZ5OnTpdNBZv8fqA3cTERBITEy+4fc6cOYwfP54JEyYAMHfuXFasWMGCBQuYOXOma7/vvvuOIUOG4Ofnd9Hrmc1mt6auwsLCy7wDIcQlOelsPtaVO7uk9A0b+zIaUZN0Rnj24jMt19h1PeTn58egQYMYNGgQL7zwAhMmTGD69OmuD+YzHA4HCQkJfPbZZxXO0bBhQ8rLywFn11H37t3dtms0VY/vOtNV63A4GDFiBLNmzaqwT5MmTVzLFxouERYWxu23387tt9/OzJkzueaaa3jzzTcrdF2da8SIEURFRfHhhx8SGRmJw+EgPj7ebabtCRMm0KVLF44dO8bHH3/MwIEDad68uStmjUZDUlJShXs1mc4O3vf3979iM2pf0aeNLBYLSUlJPPPMM27rBw8ezMaNG93WffXVV/ztb3+r8pwzZ87kpZde8mqcQlyNLBaLqw/8scceQ+/Bk0ClpzLZPHIAANd/9yvGBpUkJrZy7IBfmQpQCJBq0lcvlQr0dXMsYlxcHEuXLq2wvmvXrixevJhGjRoRFBRUYXtwcDBNmzbl8OHD3HPPPRe9xubNm+nTpw8ANpuNpKQk14DYrl278s033xATE4NWe3kfwXq9npYtW1JSUuJ6D84nfc7Izc1l7969vP/++/Tu3RuA9evXVzhXx44d6datGx9++CGff/45//znP13brrnmGux2O9nZ2a5z+NoVHbB78uRJ7HY7ERERbusjIiLIzMx0vS8oKGDLli0MGTKkynNOmzaNgoIC1ys9Pd3rcQtxtSgtLb2kxyodDitNshWaZCs4HBcoMWAto1CtJqjUOZgwIKrN5YQqxGXJzc1lwIABfPrpp+zatYvU1FS+/vprZs+ezciRIyvsf8899xAeHs7IkSNZt24dqamprFmzhscee4xjx44B8OKLLzJz5kzefvttDhw4wO7du1m4cCFz5sxxO9e7777LkiVL2LdvHw8//DCnTp3i/vvvB+Dhhx8mLy+Pu+66iy1btnD48GF+/vln7r//frek43w//PADf/nLX/jhhx84cOAA+/fv580332TZsmWu+zkzGP+HH34gJyeH4uJi15NTH3zwAYcOHeLXX39l6tSplV5jwoQJvP7669jtdm655RbX+jZt2nDPPffw17/+lW+//ZbU1FS2bt3KrFmzWLZsmWffGC/xyTwv5zcrKYriti44OJisrKxqnctgMGAwyFMNQtQkP1M4RU+PdC1XylxIvkbtKg1giGh6haIToiKTyUT37t156623SElJwWq1EhUVxQMPPMCzzz5bYX+j0cjatWt5+umnufXWWykqKqJp06YMHDjQ1RIzYcIEjEYjb7zxBk899RQBAQF07NiRKVOmuJ3r9ddfZ9asWezYsYOWLVvy3XffER7u/H8TGRnJhg0bePrppxkyZAhms5nmzZszdOjQi86JEhcXh9Fo5PHHHyc9PR2DwUDr1q356KOPGDt2LABNmzblpZde4plnnuG+++7jr3/9K4sWLeLLL7/k0UcfJT4+nrZt2/LOO+/Qr1+/Cte46667mDJlCnfffXeFIRsLFy7klVde4fHHH+f48eOEhYXRo0cPn41LVSmKB8+eeXry86ZetlgsGI1Gvv76a7es7rHHHiM5OZk1a9Zc9jULCwsJDg6moKCg0qY/Ieori8XiGlc2bdo0j7qNqmXD2+xY+wqWr8IJKoPY77/Dr420vtR15eXlpKamEhsbW+UYxPruyJEjxMbGsmPHDrp06eLrcDyWnp5OTEwMW7dupWvXrjVyjYv9PHny+X1Fu430ej0JCQmsXLnSbf3KlSvp2bPnlQxFCOFtpXmcUmkwlTnfasPCfBuPEKJarFYraWlpPP3001x//fU1lrh4k9e7jYqLizl06JDrfWpqKsnJyYSGhhIdHc3UqVMZO3Ys3bp1o0ePHnzwwQekpaUxceJEb4cihPASa1kxSf9+HoCEv75ceXmAsjyKzRqaAHa1Co3UNRKiTtiwYQP9+/enTZs2/Pe///V1ONXi9eRl27Ztrhn5ANfAoHHjxrFo0SLGjBlDbm4uM2bMICMjg/j4eJYtW+Z6JEsIUfuYS08R/NZy5/JtUytNXpSSPGK/CQSgPNgPVQ3VNBGitoqJial09tvarl+/fnUubq8nL9X5IkyaNIlJkyZ5+9JCiItQqVRERka6lj2hVus43th5TPMLlAcoT8lEa3HuYw2pm4/RCiHqhlpXVVoIUTN0Oh0PPPDAJR1rbNCYG1fvueg+jpKCs28CPJ9MTAghqkvadYUQXqGUFrmWdSqpKC2EqDmSvAghLp+iYC8qcb219ar9TysIIeouSV6EqCesVitz585l7ty5WK0XmCX3AkpPZfLzwA78PLADpacyK+5gLcVe7nC99WsadbnhCiHEBcmYFyHqCUVRKCgocC17wuGwEnXc4VquoDQPu+XsIODAGwdeeqBCCFEFaXkRQlTJYGxA3uT+5E3uj8FYyfwtZaewWpy/Tr7tqaKBf+gVjlAIz6lUqkqLNF6tXnzxxQoz/7744otERETUua+FJC9CiCrp/E30mjyfXpPnX3CCunKLc5BuiZ+KIL2U5hC+l52dzYMPPkh0dDQGg4HGjRszZMgQNm3a5OvQLklMTAwqlQqVSoW/vz8xMTHccccd/Prrr9U6/oknnmDVqlWu93v37uWll17i/fffJyMjg8TERGJiYpg7d24N3YH3SPIihLh8pXlYrM5fJ7ZAf7Rq6ZEWvjd69Gh27tzJJ598woEDB/j+++/p168feXl5vg7NIxaLxbV8ZoLX/fv38+9//5uQkBBuvPFGXn311QserygKNpsNk8lE2DllO1JSUgAYOXIkjRs39mqR43NjrgmSvAghqmQzl7H9s+ls/2w6NnNZxR3K8rCZnb9OVEGBVzg6ISrKz89n/fr1zJo1i/79+9O8eXOuu+46pk2bxrBhwyo95vjx44wZM4YGDRoQFhbGyJEjOXLkiNs+CxcupH379vj5+dGuXTvmz5/v2nbkyBFUKhVffvklPXv2xM/Pjw4dOrB69Wq3c+zZs4ebbroJk8lEREQEY8eO5eTJk67t/fr1Y/LkyUydOpXw8HAGDRrk2hYYGEjjxo2Jjo6mT58+fPDBBzz//PO88MIL7N+/H4DVq1ejUqlYsWIF3bp1w2AwsG7dOrduoxdffJERI0YAoFarUalU9OvXj6NHj/L3v//d1cJzxsaNG+nTpw/+/v5ERUXx6KOPUlJy9gnDmJgYXnnlFe69916Cg4MveU6p6pLkRQhRpfLik/i//BX+L39FefHJijuUncJxesyLOiT4CkcnrjRFUSi1ll7xlycDzU0mEyaTiaVLl2I2m6vcv7S0lP79+2MymVi7di3r16/HZDIxdOhQVyvChx9+yHPPPcerr77K3r17ee2113j++ef55JNP3M715JNP8vjjj7Njxw569uzJzTffTG5uLgAZGRn07duXLl26sG3bNpYvX05WVhZ33HGH2zk++eQTtFotGzZs4P33379o7I899hiKovDdd9+5rX/qqaeYOXMme/fupVOnTm7bnnjiCRYuXOiKKSMjg2+//ZZmzZq5WncyMjIA2L17N0OGDOHWW29l165dLF68mPXr1zN58mS3c77xxhvEx8eTlJTE888/X+XX/HJI264Q9YRKpaJhw4auZY+ORUPW6dbmaCqZgK70FOpyZ/KibSCDda92ZbYyun/e/Ypf9/e7f8eoq97szVqtlkWLFvHAAw/w3nvv0bVrV/r27cudd95Z4YMc4Msvv0StVvPRRx+5/n8sXLiQkJAQVq9ezeDBg3n55Zf5v//7P2699VYAYmNj2bNnD++//z7jxo1znWvy5MmMHj0agAULFrB8+XL+9a9/8dRTT7FgwQK6du3Ka6+95tr/448/JioqigMHDtCmTRsAWrVqxezZs6t1r6GhoTRq1KhCK9GMGTPcWm3OZTKZCAkJAaBx48au9RqNxtW6c8Ybb7zB3XffzZQpUwBo3bo177zzDn379mXBggX4+fkBMGDAAJ544olqxXy5JHkRop7Q6XSXXFMsICySfhv2XnC7UpyL5vSj0obQhpd0DSG8bfTo0QwbNox169axadMmli9fzuzZs/noo4+499573fZNSkri0KFDBAa6d3uWl5eTkpJCTk4O6enpjB8/3q1LxGazERzs3trYo0cP17JWq6Vbt27s3bvXdZ3ffvsNk6niwPeUlBRX8tKtWzeP7lVRlAp/lHh6jgs587X57LPP3K7ncDhITU2lffv2Xr1edUjyIoS4bPZTzq4kB2CU5OWq56/15/e7f/fJdT3l5+fHoEGDGDRoEC+88AITJkxg+vTpFZIXh8NBQkKC2wf0GQ0bNqS8vBxwdh117+7e6qTRVF0O40xi4XA4GDFiBLNmzaqwT5MmTVzLAQHVL26am5tLTk4OsbGxbus9OcfFOBwOHnzwQR599NEK26Kjo71+veqQ5EUIcdnsp/vzS/wgLECSl6udSqWqdvdNbRMXF1fpfCZdu3Zl8eLFNGrUiKCgio/6BwcH07RpUw4fPsw999xz0Wts3ryZPn36AM6WmaSkJNf4kK5du/LNN98QExODVuudj+C3334btVrNqFGjLvtcer0eu93utq5r1678+eeftGrV6rLP7y0yYFeIesJqtTJ//nzmz59/SeUBlg+NZ/nQ+ErLA9gL8gEoMkKon4x5Eb6Xm5vLgAED+PTTT9m1axepqal8/fXXzJ49m5EjR1bY/5577iE8PJyRI0eybt06UlNTWbNmDY899hjHjh0DnE/ozJw5k7fffpsDBw6we/duFi5cyJw5c9zO9e6777JkyRL27dvHww8/zKlTp7j//vsBePjhh8nLy+Ouu+5iy5YtHD58mJ9//pn777+/QtJQmaKiIjIzM0lPT2ft2rX87W9/45VXXuHVV1/1SnIRExPD2rVrOX78uOsJqKeffppNmzbx8MMPk5yczMGDB/n+++955JFHLvt6l0paXoSoJxRFIScnx7XsCYfDSvMjdtfy+WwFRYCeQn9oJMmLqAVMJhPdu3fnrbfeIiUlBavVSlRUFA888ADPPvtshf2NRiNr167l6aef5tZbb6WoqIimTZsycOBAV0vMhAkTMBqNvPHGGzz11FMEBATQsWNH10DWM15//XVmzZrFjh07aNmyJd999x3h4eEAREZGsmHDBp5++mmGDBmC2WymefPmDB06FLW66vaEF154gRdeeAG9Xk/jxo25/vrrWbVqFf3797/8LxrOQb4PPvggLVu2xGw2oygKnTp1Ys2aNTz33HP07t0bRVFo2bIlY8aM8co1L4VK8fS3WC1XWFhIcHAwBQUFlTb9CVFfWSwWZs6cCcC0adPQ6/XVPtZaVsyGdx4GoNej77rPsutwcGpcMzK3BrOtlYpun3xD+7D2Xo1d+E55eTmpqanExsa6nioRlTty5AixsbHs2LGjwjT8wuliP0+efH5Ly4sQoko6fxP9nv6k8o3mAmxm52BE6TYSQlwJMuZFCHF5SvMoO13XqNBfkhchRM2TlhchRJVs5jL2LXfO8tlu6INoDec8slqaS9np2XWtJj90Gp0vQhTC52JiYjweTyYujSQvQogqlRefRPO0M3kpv2E0JkPU2Y0lOVgsGrSAEix1jYQQNU+SFyHqCZVK5ZoJ9FLKA+SdHj9XoTxAyUnsZjVapK6REOLKkORFiHpCp9NVeKSzugLCIum15QLlAUpPopwesKsLlfEuQoiaJwN2hRCXp+QkGrPzV4mflAYQQlwBkrwIIS6LUpiD7nTLizG8cRV7CyHE5ZPkRYh6wmq18uGHH/Lhhx96XB6grCCbZTd3YtnNnSgryHbbZs91lgtwAIFhTSo5WgghvEuSFyHqCUVROHHiBCdOnPD4cU67zUzsASuxB6zYbWb3bacrSpf4QZhJuo2EuBJefPHFej2Lb61MXrRaLV26dKFLly5MmDDB1+EIUe/p/YM4cWc8J+6MR+/vPm23PS8fgCKZoE7UQpmZmTzyyCO0aNECg8FAVFQUI0aMYNWqVb4O7bI88cQTbvdw7733eqWqdF1RK582CgkJITk52ddhCCFO0xuDGfji1xU3KAq2gkIgmCIjtJDkRdQiR44coVevXoSEhDB79mw6deqE1WplxYoVPPzww+zbt8/XIV4yk8mEyWSqeserVK1seRFC1BHlBVjKnF1QRf4qaXkRtcqkSZNQqVRs2bKF2267jTZt2tChQwemTp3K5s2bAUhLS2PkyJGYTCaCgoK44447yMrKcp3jTPfMxx9/THR0NCaTiYceegi73c7s2bNp3LgxjRo14tVXX3W7tkqlYsGCBSQmJuLv709sbCxff+3+B8Du3bsZMGAA/v7+hIWF8be//Y3i4mLX9tWrV3PdddcREBBASEgIvXr14ujRo25xnVn+5JNP+O6771CpVKhUKlavXg3A8ePHGTNmDA0aNCAsLIyRI0dy5MgRL3+lrzyvJy9r165lxIgRREZGolKpWLp0aYV95s+f76oomZCQwLp169y2FxYWkpCQwA033MCaNWu8HaIQwkN2q4WDv37CwV8/wW61nN1QmkuRxdmAW2hSE6SXSu71gaIoOEpLr/jLk7FaeXl5LF++nIcffpiAgIAK20NCQlAUhVGjRpGXl8eaNWtYuXIlKSkpjBkzxm3flJQUfvrpJ5YvX84XX3zBxx9/zLBhwzh27Bhr1qxh1qxZ/OMf/3AlRGc8//zzjB49mp07d/KXv/yFu+66i717nfMllZaWMnToUBo0aMDWrVv5+uuv+eWXX5g8eTIANpuNUaNG0bdvX3bt2sWmTZv429/+VukEk0888QR33HEHQ4cOJSMjg4yMDHr27ElpaSn9+/fHZDKxdu1a1q9fj8lkYujQoVgslgrnqUu83m1UUlJC586due+++xg9enSF7YsXL2bKlCnMnz+fXr168f7775OYmMiePXuIjo4GnE19kZGR/PHHHwwbNozdu3dXWR5bCFFzygqzsE163bm8YQCmsNPlAUpyKLOoUQHWIH+PZ+4VdZNSVsb+rglX/LpttyehMhqrte+hQ4dQFIV27dpdcJ9ffvmFXbt2kZqaSlSU82f6P//5Dx06dGDr1q1ce+21ADgcDj7++GMCAwOJi4ujf//+7N+/n2XLlqFWq2nbti2zZs1i9erVXH/99a7z33777a5xmy+//DIrV67kn//8J/Pnz+ezzz6jrKyMf//7367kat68eYwYMYJZs2ah0+koKChg+PDhtGzZEoD27dtXeh8mkwl/f3/MZjONG5+druDTTz9FrVbz0Ucfuf5vLly4kJCQEFavXs3gwYOr9bWsjbze8pKYmMgrr7zCrbfeWun2OXPmMH78eCZMmED79u2ZO3cuUVFRLFiwwLVPZGQkAPHx8cTFxXHgwIELXs9sNlNYWOj2EkJUzmg0YqzmL//zFfk7X25KTmIpd5YLsDeQukai9jjTSnOxhHrv3r1ERUW5EheAuLg4QkJCXC0k4Cy4GBh49uc7IiKCuLg41Gq127rsbPdpBHr06FHh/Znz7t27l86dO7u1CvXq1QuHw8H+/fsJDQ3l3nvvZciQIYwYMYK3336bjIwMT74EJCUlcejQIQIDA11jZEJDQykvLyclJcWjc9U2V3TArsViISkpiWeeecZt/eDBg9m4cSMAp06dwmg0YjAYOHbsGHv27KFFixYXPOfMmTN56aWXajRuIa4Ger2eJ5988pKONYVFcd2OSsoDlJ7Ebj5d66iB1DWqL1T+/rTdnuST61ZX69atUalU7N2794JP4SiKUmlyc/56nc69UrpKpap0ncPhqDKuM+e90LXP3WfhwoU8+uijLF++nMWLF/OPf/yDlStXurXuXIzD4SAhIYHPPvuswraGDev2tAZXdMDuyZMnsdvtREREuK2PiIggM9M50dXevXvp1q0bnTt3Zvjw4bz99tuEXqReyrRp0ygoKHC90tPTa/QehBDnKMmBMuevEV1YuI+DEVeKSqVCbTRe8Zcn3ZKhoaEMGTKEd999l5KSkgrb8/PziYuLIy0tze1zY8+ePRQUFFywi8YT54+B2bx5s6sbKy4ujuTkZLfYNmzYgFqtpk2bNq5111xzDdOmTWPjxo3Ex8fz+eefV3otvV6P3W53W9e1a1cOHjxIo0aNaNWqldvrTJHWusonTxud/wN4bgbas2dPdu/ezc6dO0lOTq7yuXWDwUBQUJDbSwhxhZTkoil3/t/1bySz64raZf78+djtdq677jq++eYbDh48yN69e3nnnXfo0aMHN954I506deKee+5h+/btbNmyhb/+9a/07duXbt26Xfb1v/76az7++GMOHDjA9OnT2bJli2tA7j333IOfnx/jxo3jjz/+4LfffuORRx5h7NixREREkJqayrRp09i0aRNHjx7l559/5sCBAxdMqmJiYti1axf79+/n5MmTWK1W7rnnHsLDwxk5ciTr1q0jNTWVNWvW8Nhjj3Hs2LHLvj9fuqLJS3h4OBqNxtXKckZ2dnaF1hghhHdZrVYWLVrEokWLLqk8wA+3XcMPt13jVh5AKczCcDp5CYpo5tV4hbhcsbGxbN++nf79+/P4448THx/PoEGDWLVqFQsWLHA9EdugQQP69OnDjTfeSIsWLVi8eLFXrv/SSy/x5Zdf0qlTJz755BM+++wz4uLiAOf4sxUrVpCXl8e1117LbbfdxsCBA5k3b55r+759+xg9ejRt2rThb3/7G5MnT+bBBx+s9FoPPPAAbdu2pVu3bjRs2JANGzZgNBpZu3Yt0dHR3HrrrbRv357777+fsrKyOv+HvkrxdJ5wT06uUrFkyRK31pPu3buTkJDA/PnzXevi4uIYOXIkM2fOvOxrFhYWEhwcTEFBQZ3/5gjhTRaLxfV/bNq0aej1+mofW5ybTnov55MJURt+dj1tZJ0/jEPvHMahgmM/zmFIi0TvBy58qry8nNTUVNf0FqJ6Kvv8Exf/efLk89vrA3aLi4s5dOiQ631qairJycmEhoYSHR3N1KlTGTt2LN26daNHjx588MEHpKWlMXHiRG+HIoTwEr1/EGkjnQPnW55THsB+0lnXqNAI4QGNfBKbEKL+8Xrysm3bNvr37+96P3XqVADGjRvHokWLGDNmDLm5ucyYMYOMjAzi4+NZtmwZzZs393YoQggv0RuDGTLrxwrrbXn5gJoCI8T51+2nF4QQdYfXk5d+/fpVOQvipEmTmDRpkrcvLYS4khwOSgqLgSAKAlSE+8vTRkKcUYMjMgS1tDCjEKJ2sVstnNi1EoDIToPQ6PRQlkeh2TlYt8Skxai7tMnvhBDCU5K8CCGqVFaYRfE9TziXzwzYLc6i1KxFD1iDJXERQlw5krwIUY+cPyuoJ8znH1qchdmsRg8oDeTJvquddIMIb/DWz5EkL0LUE3q9nmefffaSjjWFRdFl93nlAYqzsZ+ua6QObXC54Yla6kzCW1pair8H0/MLUZnS0lLg8v6QAklehBCXqjgL1ekJ6nTh8qTR1Uqj0RASEuIqOmj0cJp+IcDZ4lJaWkp2djYhISFoNJrLOp8kL0KIS1OcjfZ0XSOjlAa4qjVu3BigQtVkITwVEhLi+nm6HJK8CFFP2Gw2vvrqKwDuuOMOtNrq//c3F+Wy8m9DABj0wQoMgWEoRZkYypzbgyKivB6vqD1UKhVNmjShUaNGHpeWEOIMnU532S0uZ0jyIkQ94XA4OHjwoGvZE1ZLKS13lLiWDYThyM1Aa3d2H4Q0lkkm6wONRuO1Dx8hLockL0KIKukNgRwZEglAS0MgALYcZxdCqR4ahjT1WWxCiPpHkhchRJX0phAS317ltq48Nw8wkB8ALWV2XSHEFaT2dQBCiDrIZuZUkXPAS0GgmmBDsI8DEkLUJ9LyIoSoksNuJ+9IMgChMV1Ql+RQZNaiBcqCDfLorBDiipLkRQhRpdL8E+QM+wsAfht+xlSeTVm5lkDAGmLybXBCiHpHuo2EEJ4rzsZ6eo4XJSzEt7EIIeodaXkRop7Q6/VMnz79ko41hUXRft855QGOrEI5XRpA21Bm1xVCXFnS8iKE8FxxNppS5zgXvwiZXVcIcWVJ8iKE8FxxFobTyYupscyuK4S4sqTbSIh6wmazsWTJEgBuueUWz8sDPDIMgEH//BF9fgb+p4syNmjawvvBCiHERUjyIkQ94XA42LNnDwAjR4706FirpZSWmwtcy+rsTABsamjYWJIXIcSVJcmLEKJKekMgh/s5B+a2NARSnHEM0JBvgtiACN8GJ4SodyR5EUJUSW8KYdh7a51vCk+QXlAEhFBgUmPSyzwvQogrSwbsCiE8k72XQrPz756yEH8fByOEqI+k5UUIUSWH3U5p/gkAjAUZlJq1+AG2BoG+DUwIUS9Jy4sQokql+SdI7zWY9F6DKc1JwXJ6dl1kdl0hhA9I8iKE8ExJNpTJ7LpCCN+RbiMh6gmdTse0adNcy54whkQSteFn5/LK59CUOed48ZfZdYUQPiDJixD1hEqlQq/XX9Kxao0GU9jpmXTLThJ0ypm8BDZp7q3whBCi2mpdt1FRURHXXnstXbp0oWPHjnz44Ye+DkkIcQ5z2gkM1tOz68a08XE0Qoj6qNa1vBiNRtasWYPRaKS0tJT4+HhuvfVWwsLCfB2aEHWazWbjhx9+AGD48OEelQewFOez8ombAWhDPuDP8VDo0qxdDUQqhBAXV+taXjQaDUajEYDy8nLsdjuKovg4KiHqPofDwc6dO9m5cycOh8OjYy3mIlqszqHF6hxyypzHFkQEEO4fXhOhCiHERXk9eVm7di0jRowgMjISlUrF0qVLK+wzf/58YmNj8fPzIyEhgXXr1rltz8/Pp3PnzjRr1oynnnqK8HD5BSmEL+n0RlKuDyaluwmz2fmkkUMekxZC+IjXk5eSkhI6d+7MvHnzKt2+ePFipkyZwnPPPceOHTvo3bs3iYmJpKWlufYJCQlh586dpKam8vnnn5OVleXtMIUQHjAEhjF80WaGz3gHe7kzeaFhqG+DEkLUW15PXhITE3nllVe49dZbK90+Z84cxo8fz4QJE2jfvj1z584lKiqKBQsWVNg3IiKCTp06sXbt2gtez2w2U1hY6PYSQtSQ4kw4PUGdvpEUZBRC+MYVHfNisVhISkpi8ODBbusHDx7Mxo0bAcjKynIlIIWFhaxdu5a2bdte8JwzZ84kODjY9YqKiqq5GxCivivKQlfq/LVhbNLMx8EIIeqrK/q00cmTJ7Hb7UREuP/FFhERQWZmJgDHjh1j/PjxKIqCoihMnjyZTp06XfCc06ZNY+rUqa73hYWFksAI4WXFuemk93L+0eF/uhZjUNMY3wUkhKjXfPKotEqlcnuvKIprXUJCAsnJydU+l8FgwGAweDM8IcRFBJ6eXTc8SuZ4EUL4xhVNXsLDw9FoNK5WljOys7MrtMYIIbxLp9PxxBNPuJY9YQyJpOGPn1Ly36mULszGpoaoJq1qIkwhhKjSFR3zotfrSUhIYOXKlW7rV65cSc+ePa9kKELUOyqVioCAAAICAiq0flZFrdEQ3jIBa2kJAPkmFSZDYE2EKYQQVfJ6y0txcTGHDh1yvU9NTSU5OZnQ0FCio6OZOnUqY8eOpVu3bvTo0YMPPviAtLQ0Jk6c6O1QhBBelp9fQABaSoM9a7kRQghv8nrysm3bNvr37+96f2Yw7bhx41i0aBFjxowhNzeXGTNmkJGRQXx8PMuWLaN5cynwJkRNstlsrFixAoAhQ4Z4XB5g1XOj4YCKAMDSwFRDUQohRNW8nrz069evyun8J02axKRJk7x9aSHERTgcDrZt2wbAoEGDPDrWYi4iZsUJ4Mzsug28HZ4QQlRbrattJISofXR6Iyld/MgJcf5homkoJTuEEL4jyYsQokqGwDCGT3+Z0mBn8mJoEunjiIQQ9ZkkL0KI6inOxFDifErJ1CTax8EIIeozSV6EENVTlInpdPLSoGkLHwcjhKjPfDLDrhCibinOTefQo59hsjnfN4q+cL0xIYSoadLyIoSoFsPpxMWihpCGUj9MCOE70vIiRD2h0+l47LHHXMue8A+KIGeYnoY/WigKVKNWy989QgjfkeRFiHpCpVIREhJyScdqdHoctnJATVkDP6/GJYQQnpI/n4QQVbPbKCuyAmALlZpGQgjfkpYXIeoJu93OqlWrABg4cCAajabax1pOHkZJd3Y1KaEyu64Qwrek5UWIesJut7Np0yY2bdqE3W736FhL7mFi052/LrShoTURnhBCVJskL0KIKmnKT1FgdC77y+y6Qggfk+RFCFElf0c5pf7O5QYt4nwbjBCi3pPkRQhRJVtRBoHFzuWwZq19G4wQot6T5EUIUaWck6mYzM7lsGatfBuMEKLek+RFCFGl9KMpACiA2Vro22CEEPWeJC9CiCoV5Z0CQIVzsjshhPAlmedFiHpCp9Px0EMPuZY9UVZcDkBmpIE2QRFej00IITwhyYsQ9YRKpaJRo0aeH+hwYC6xAHrszRqh0em9HpsQQnhCuo2EEBdXehJ7qfNXhbqRtLoIIXxPkhch6gm73c7q1atZvXq1ZzPsFmWiPp28WI8exFJaUEMRCiFE9UjyIkQ9YbfbWbNmDWvWrPEseSnOwlDs/FURvbsAS5k8bSSE8C1JXoQQF+UozMBY6lw+3kyDRmvwbUBCiHpPkhchxEWd2vkfGpQ4l3t8sBT/4EsY9CuEEF4kyYsQ4qKy05PxtziX/SOa+DYYIYRAkhchxMVYSsiyOOeEKTeoUQcE+DggIeqnzYdz+Xpbuq/DqDVknhchxIUVZ5Nv1hEBaK0ONlzXni4/rSIgLNLXkQlRb2QWlHPnB5sB2JNRiAoV/xjWHrW6/s52XStbXm655RYaNGjAbbfd5utQhKjfSnLYb3MO0NU6ILQQFDx4UkkIcdnu+nCza3nhhiN8vCGVn/dkutYVllt5c8V+jueX+SI8n6iVLS+PPvoo999/P5988omvQxHiqqHVapkwYYJruVqKsykq1wEOsuLCCR83Gj9TeM0FKYSoIPVkSYV1u44VsCejiJScYn7clQHA9ztPsPap/lc6PJ+olclL//79Wb16ta/DEOKqolaradq0qUfHlBUd557VDgCadupN65FTaiAyIYSn5q9OqbAuLa/UB5H4hte7jdauXcuIESOIjIxEpVKxdOnSCvvMnz+f2NhY/Pz8SEhIYN26dd4OQwjhBdl5qa7lhp2v82EkQtQ/OUVmXv5hj0fH7M0o5MH/bGNf5tU9maTXk5eSkhI6d+7MvHnzKt2+ePFipkyZwnPPPceOHTvo3bs3iYmJpKWleTsUIcQ57HY7GzZsYMOGDdWeYfdk5lHXcvL+b1k9axzWsuKaClGIK6LcaueXPVlY7Q5fh3JRf1+czL/Wp1a94zkS317Hij+zGDp3HXd/uJm8EksNRedbXk9eEhMTeeWVV7j11lsr3T5nzhzGjx/PhAkTaN++PXPnziUqKooFCxZc0vXMZjOFhYVuLyFERXa7nV9++YVffvml2snLqRznoMDiABURi7YSsXAL5tJTNRmmEDXuia93MuHf25j/W8Wul9pk/aGTruUbWoWT/MIgXrq5Azd1bOxa36qRie6xoagqefBoY0ouP+464XqfV2LB4VBqNOYr5YqOebFYLCQlJfHMM8+4rR88eDAbN268pHPOnDmTl156yRvhCSHOU5zvLMJoDjSQ29AKQHO1zpchCXHZfjg9wPW9NSkkdmyMn1ZDdJjRx1G5Oz/JKLHYCDHqGdczhnE9Y8gpMvPbvmxu7hKJn07DyHnr2XmsYtHU57/7k2YNjDz+9U7ySiw81K8lTw9td6Vuo8Zc0UelT548id1uJyIiwm19REQEmZlnH/saMmQIt99+O8uWLaNZs2Zs3br1guecNm0aBQUFrld6ukziI8RlKzwBi8dSeiofAEdoIEOX/8HQ5X9gbND44scKUYsVlFldy2VWO4PfWkufN37j623p2GtJq0R2YTktnl3mtm5UF/fB9g0DDdxxbRR+Og0AzyS2J+Z0Avbv+69jXI/mrn3vW7TV1X20YHUK769JQVFqx71eKp88baQ6r31LURS3dStWrKj2uQwGAwaDFIoTwquWToLDv2EvddYxUjWUx6PF1WHAm6srXf/kf3cx86d9rJjSh4aBZz9TsgvLGf/JNkZ0bsLf+rSs8vwpOcWEBegJMeovOcbrXlvl9v7tO7twc+eLTwzZo2UYq588+5h0nzYNKbXY+TrpWIV9Z/60j0ZBBm65ptklx+hrV7TlJTw8HI1G49bKApCdnV2hNUYI4UMndgCgKnP+itA19uwRa1G/FZVbySky+zqMCr7dfozciwxgzSuxMGflAbdWiffXHmb38QJeW7aPcuvFx4r9cbyAgf+3homfJnkcm83uYH9mEfmlFeMb2aVphT/6q+ON2zuz7NHetG5k4rqYUIZ2ONtq+vfFO4l55kdunLOGj9Yd5sjJkgpdVel5pZRZaueklFc0edHr9SQkJLBy5Uq39StXrqRnz55XMhQhxMWU5wOgL3H+wtQ1CGF1r/as7tWektwTFzlQ1Ee5xWa3ZOXW+Rvp+fqqWvOky77MQkrMNqZ+tdO1btXjfbm+RWiFfb/YkkbstGVc9+ov7D5WwBdbzj4J+/Q3uy56neH/XA/A5sN5jJy3vspk51zvrUlhyNy1vPrjXte6QD8tn03oXu1zVCYuMoiVU/vy1cQevDc2gf+7vbPb9kPZxbzy4176vbmaFs8u4y8f/U651c59C7fQe/ZvjPt4S63sYvJ68lJcXExycjLJyckApKamkpyc7HoUeurUqXz00Ud8/PHH7N27l7///e+kpaUxceJEb4cihLgMCmA8nbyYIpoSkQsRuVIeQLiz2h3cPG8DiW+vo8Rso9Ri42B2MVa7wur92dU6R26xmXd/O8Sh7CKvx/f74VyGzl1Hh+lnhyM8NrA1LRua+PJvPTjy+jDWPtnfrasIILvIzIh56yk9p+Xhu+QTF/wgLyy3ur3feayg0vu3OxSyi8orrH/z5wMArm6e62JD2f3iEHq18m6X7eiEZuycPpix1zevdPv6Qydp9/xyftufA8CWI3lM+MQ5b0y51c6nm48y/bs/KDbbvBqXp7w+5mXbtm3073+2323q1KkAjBs3jkWLFjFmzBhyc3OZMWMGGRkZxMfHs2zZMpo3r/wLKYTwDq1Wy7hx41zLVSlQq2lw+rOkYevOHHn+DgApDyDc7MsoctXUuXX+RvZnnU1AMgrKsdgcbD2SR4hRR4fI4ErPMXv5fhZvS+fTzUf5bnIvGgX6eS2+L7dWfIjjsYGt3d5HhxnZ+tyNvLcmhdd/2ldh/+tbhLL5cB4A/950lLHXN8euKOg0Z//+/6qS6xSV2zDb7GQVmIkOM6IoCq/+uJePN6Sy+G/X071FGFAx8QEYHFdzQymC/XW8PCqel0fFoygKdofCvswiV8vR+Vbty2bVPvdEbGNKLj//vc8ldWd5g0qpje1Bl6GwsJDg4GAKCgoICgrydThC1EnKC8H8mWVCs8b5f6jV2jXoGjXycVSiNlq0IZUX/1f1LLBhAXq2/eNG14fdyWIz247kodOoGf/JNrd9t/3jRsJN3nkQY/Ln212PRgNcFxPKVxN7VLqvoih8uvkon29JZ2+Gc84wvVbNvhlDuWHWr5wocLaYBPvrMGjVrJjSB41GxeTPd7D2QM5F4/jmoR68+uNetqflA9C/bUMW3uectXrhhlReOu9rmPSPGwnz0tfAExabg9wSM0a9Fn+dhrd+OcDmw7nsPlaA7ZwxMTNGduCvPWK8em1PPr9rZW0jIYQP2W38uT8Yzc4AABxq0IaF+TgoURttPZJXrcQFILfEwt0f/s7C+66l2Gyj2yu/XHDfxVvTebh/K6/EuPu4+9wnseEBF9xXpVIxtkcMY3vEkHT0FKdKLNx4ugXknbuu4bb3NgFnH7fu/toqGgUZOHbqbDXnd+66hmnf7KLkvIGuoxdscnu/Iz2fvBILoQF6vt7m/kTQ23d28UniAs5krUmwv+v9mTlhzDY7v+3LoUNkEHklFjo1q7wV7UqRlhch6gm73U5SkvMpiISEBDQajfsODgfkpYA+gC39BhJ4usZbSYgfnX9bx5Z/PQXAdeNno/M3XcnQRS1iszvYfbyA2PAAusxYWfUB59FpVDw2sLVrjMcZMWFGjuQ6f+jCAvRsfe5G1OrL65Ios9iJm76ccz/l1j3Vn6jQS5uQ7sjJElbuyeK7ncf543jF2dzbNQ7k+8k3YLE7iJ9evSk/2jcJcrXyzL+nKwatmoHt6+fTt9LyIoSowG6389NPPwHQpUuXisnLyudh0zyIH43x7B+S2MKCMJeeInTebwCY7zolyUs9Nu+3Q8z95aDburgmQYQHGvjjeAF/6R7NjXER3Dxvg2v76if60e/0/CpWu1IhcQH4+N5riQ410vHFn8ktsdDi2WW0axxIx6bBvHpLRwB+3ZfN9S1Cqz2HyqHsYhQFQow6djw/6LLHZ8SEB/BAnxY80KcFOUVmfth1AqvdQc+W4QT762gc7IdOo0avVbPwvmv5ZU8Wd3eP5pZ3N2KxO+gaHcLiB3vQ+rmfXOc8k7i0jQjkpo5NLiu++kSSFyGE06bTxVT/+AaNcnZCLD+rCrVaR3pT5+BEKQ9QP2UWlHPvwi3sy6z4RNCi+6+locmAouBqLVkxpQ+PfrGDB/q0ICY8gJdHduD57/6s9NyfTehOi4bOhLhvm4Ys/9M5F9i+zCL2ZRbxddIx9Fo1FpuzkOIvU/vSqtHZBDqvxEJeiYUgPy2fbj7KLV2bERsewM5j+QDERwZ7fWBpw0AD9/WKveD2/m0b0b+tc5zY1uduREFxJV2HXk3kpf/t4T+bzxY+nXVbJ6/Gd7WT5EUIcVFagx/GBo0ZvKryDx5RPzzyxfZKE5fnh8e5ng46Nz9o2ziQFX/v43o/tkcM8U2DuWW+s46dv07D5mcHYrM73MZ3vHPXNdy6YEOFbpkziQvAjXPW8I9h7bm/VyxTFifz/U73uYdWH8jh+8k3sOlwLgDdYhpc4l17R7DRPeHXatS8PCqeAe0bkZJdzF+ub+6a5l9UjyQvQgg358/eEPzoJJ/EIWqPQ9nFbD1SeTXxuCbVH1t4TXQDUmfexPa0U4SbDAT7V2zF02vV/PBIb3KLzRSV23jlx738sjeLcJOek8VnJ7175ce9vHLOhG7n2nWsgJhnfnS99/ZcKd5ybuuM8IwkL0IIOHS2lkqmyv0vwEZdrr/S0Yha5sY5a9zeD2zXyDXvR3xTzx6MUKlUJDSvOLPt+cJMBsJMBj4a181t/ZGTJUz9Ktn1yHF1dI32bcuL8D5JXoQQ8OmtrsU0i4Fzf9Xrw8IpPZXJxlsGANBzya9SWboe2zNjCP46DfNXp9AiPIBAvys7BiomPIBvJ/WisNzKlsN5tG0cSFSoEZvdQbHZRlahmSFz17r2/+KB69Fc5lNLovaR5OUy2B2K/KcQdZ+l1O1tdpnelbyoTSZUajUOh5Wmmc7nTR2OirOBCt8ps9hZ8WcmPVqGERHkvZlpzzh39tf/Tb4Bo975seGteVguVZCfzjUHCzjHkYQYndWcj7w+DHBOOuerGWBFzZLk5RJ9u/0YU7/ayfBOTZh3d1dfhyNElbRaLXfddZdr2aXY+WRH8QkDmduDCQh1PlVUHBlC16XOuSoMxgYU/H0oAK2M0gRfWyQdPcXoBc4BsD1ahPHF37zfxXcwqxiAiCADHX08MZmnJHG5ekny4oGM4gznnAGGhkz7fCvD07ayqSye8ts7y0hxUeup1WratGlTcUO+syZL+lrnLLrNnJ9VKO1aoDk9UZTO38T1D751ReIU1XcmcQHYdDiXd1Yd5NHz6vZcrpRs5w9E60aBXj2vEJdDkpdqWvrjqzSY8SmlBtjaI5ilPzinnH541xLWNV9Dl8imhMc2dmb6DjsUHocmncEUARo9aHSgDwC/EFCfk+isf4vS/T9y/KbXaW0HbOXQfoRzH7sVrKWQvQ+adXM/TghvyU+rdHVDXdWDKoVvFJVbue286eYB5qw8wEP9WroVDLxcezOdjyyfO6+KEL4myUs1qX/ZT6PTJTJivnOvldHsg7WcBDY3gUXDoNwECQcUDkZ/TUkAqAAVCmcaMF3/Ks7l/cF62PAk8WYzsRYbfX+ciM4YzmF7CTkqhd5lZYTa7fiFtkYXFElxSRaa0FaUqzX4BzTE6B+KDVBrtGiNDdH6BaHR+KHV+GFwWDDoAyE4CvyCQesHGvm210d2u53du3cD0LFjx7Mz7F4geQlOuM61bDOXsf3zlwDoevd0tAb/So8RV8auYwVu1ZvPtf3oKVe1Ym84U005obl0F4raQz7FqmnQQ5NZvetBYo6XX3CfVhnwykdn3qmwnf7jR+uA7S3UbGmrIjsEjGawqWF7KxUJhxT+sc3OW6PUHNToOaLR87+IM4XDnH/pfB58prm2GKwHQA8UO2vUULG8hhu1opBQbibebEGLgkYBLSo0ag06lRaNRodWo0ej0qBVFLQ2Mxq/YLR+wWjKCtAFNUWtN6JSacFhA3MhKnMRNO5I88BompoinS1KOn8oywdLMZgaQ1AT53prGRRnQ3hr8A917ldFP3ShpZDtWdvp3bQ3mvNbm4pzoPAYRF7jfG+zwB//dbZutb8ZtNWbNrw+stvtfPfddwDExcWdTV5yD5G7t+Jf1Q3uutO1XF58ksBZzmPLb34YkyGq5gMWF3T8nEKAADd1bMyy3c6xS2M+2Mz0EXEXnf21uhRFIT3POaA7LlJqxYnaQ5KXavJvcx0hH/zC3f/8GZ3dRnxCO+7tGcPrbyymReExoosyaFlwnHb5majtzmqi2rMTQtL1sELXw+41MBWdFpXVue/Cuc5/bWrY0TOM9KY6Gp4oQ59bwpH2QexronAi0Eo5VpoX6ckOsqNTazA7rJQrDrSAHQW7omADHKfzA4dKxVZ/P7b6X+wpBBtnpyZTAYVgKwQdUFYIZZUckpkJmaB3KHSwmDE6FIrUavI1akLsDkIcDgyKglZRKFWrCbI7MCgO1Co1arUONQpqtQ6VSo1GrUWl1qLW6FFr/fjQnu26zD8DOnKdxYFFq0NvCCLl0DLybKU0NoTyh62AnX4GlgSa6FRupseqqXSM6Er7NiMIVdRof38PrvkLXDMW1FocGj278vbQMbxjxaToXHabs7vOr378slZO7CB7p/u92m7qi0p39hFYtVpHRiPnD5WUB7gy7A6FtLxSYsKMFQaePvXNLrf3b43pwtoDv1Bsdv4/ful/e7DZFSJD/OnZMowSiw2jXktogGfJ/bFTZRSbbWjUKpqGSGubqD0kefFAj5ZhfPnMcIrKrXSLcY4H+LJfD37Zl0251ZmpRPqpuNbfzKbjxQwqPsxDASexHDmCPiYGy/HjKKVl2PPzsefno7KeP5epM+G5dn0u156zrvseZ7Otys8PUKGUF6E2GlEH+KFv1QFd4ybYTzlnv9RFRaGLjEQVEAABRk6Qzw5LCqcCodQPbIoVm92M3W7Bbncu2+wWbIoNu+LA5rBjt5Vjc1ix2cqxq1TYHTZAQUGFotjB4eCUYiFbsWJRq9jh554YpXn82XYmeSoHu3tT0iMlzm4OrDiTqHATZ1qk4GzT+C4/A7v8DGBJgT/m4udw0Exvw7j7nzj++Cd2VOw1OH9xN7LZua/UisNWjp8+EJ0uAL3GQIghmCA0+OXsR1t6EltwFJYmnbA6rAQFReEwBGLX6tFo9FgVBxrU6NUaQopyKDcXEtx2GH7GcFSmRqBSg6KAuQi0BghsAorD2W2nPt0kZ7e5d+FtWwipa2HE287jDVdgjEFRJpYTRwH3eVsaX9PT7b2xQWMGrN1T8/EIlxe//5P/bD7K23d2YWSXpq71qSdL3PZzViLWMOqaSD7dfLYL8NVlFWef/eGRG4gND+CTTUf4dW82IUYdL4+Kp0lw5YnJ2oM5AHSNDpGHEkStIsmLh9o2dh9xP/+eBAAKyqzc9PY6jueX8V25HoyhfGYM5TOADs5fMOdWDFUsFqwZGagDAkCjoeDbJdjzT6FYLFiOpmE/dYqynTvdrqWUn+2ycpSW4igtxZaTc9F4NcCZ+SlVOh2asDDUAQGoAwLQmEyoAwNR6XSoNBpQq7FlZaLyj0AfFYVKr0fbOAKVWg2oUCxmSjZtBkUh+NZbKGoYQE5DPVm2PMx2M9jt+OebKTNpses0mO1mLHYLRp2RAnMBVksJiq0Mh7UMO6DYLTgUOw675ezLVk5KWTa/l52o9H60qAnW+pFnK0UBGqkMxNmbYSg3s954AjUqirBTrlZzSF/5X5nZWg2zgjTAmaSr3Pmynx7LFKqH0EjADsU7nOtK/7jo1xmAjb+iVRS6l5VzjdnZGqU+nfQZHQ7UgAYFrT4IvUqDruwU6qCmqANOTw9+/HRX4Nxlzn+bdIKwVti0BuL8IggPjnImRCjOLjhDoLNrTh9wdlC4LgB0fs73lhJnN15g5NmE6Xxb/8WfFn/O/+gKiO9Y9f0Kr1r+RwZNgv3pHBVCRkGZq2jf7OX7XcnLgawiBr91dgK2NU/2o3mYs5v52ZvaEx1qZG9GEUt2HK/0GsP/ub7CuuZhqTw/PM5tXV6Jha1H8vhqq/NJtD6tG17+DQrhRSpFUZSqd6s7CgsLCQ4OpqCggKCgK9vsv+dEISPmrcfuqPxL+p/x19G7dUPOfMmrOweBoihgtWI9cQLFbkcTFIQ5JQV7fgH2okLsp/Kdf8WrVNhO5jpbdooKcRSX4Cgqwpabiz0311u36U6jQRMcjCYoCMuRI8778vdHHxWF2mgEtRrFbMbQujWa4GBUBgMqPwNqgwGVwQ+VQY/azw+V3oDaz4DKYMCSlkbhDz+ij4khZOqj2HRqtGot5diwf78C6x97COh9A8Vr11Hw3/+6hdPomWcIvOsOjpdnkpWdSqke51gfVKgdNnaf3M3ajM2EaI1YHBY0CigOGyW2UkqspZQ4LJQpdmwOGzqVGh0qtCo1BfYytIoKNeBAQYcKGwpWFIpxVPy61IBry8opUatoYHfgrygYFAW9ouDvUNChoD79Y6c+PTj87ABxtTOhUbTknbwdgIbh/0WlsqM3F7L7aDAPLne/h7Y7tqP2l26CK2VfZiFD564D4Mjrw7j21V/IKTIDEBXqz7qnnLMbx72wnFKLs4v5QnNMKYpC3zdWk5ZXWmHbhWx/fpBbl9LQuWtdRRiNeg0rpvQhKtR4aTcnRDV58vktyYuXORwKW4/k8dv+HN5bk1Jh+7k1QTZPG8ih7GJe/N+fLLz32hr95aBYLNhycrDlncJRUoKj1JnY2IuKUWxWsDtQbDZUOp2zVaeoEMfpLi5QXAmX9djpv+jsdsyHD8Pp8T01Rqt1DvC1WlEZjSilVf9CVul0aMLDsWVkoGkYTsC116EyGFAsFuz5+fhfcw1+ce1xFBejCQkBlRptRCO0DRqg8jdizz2J9cQJ/OLjnTPMVpFkWh1WVKj44+Qf7M/bT255LpklmZjtZuyKHZUCJZYCHIoDh8OGzVqGxVaGXbFjd9hOd8vh7CrS+oG52HnPih2b3cphe7EXvpCgcWi4Je0WAJZEL8Gudn7v7vvZTmLS2V8DjZ58krDx97sdW3oqk3V3DASg91erpDyAl/20O4OHPtsOOGexHTHvbAtJi/AAfnj0BnKLLfSe/Ztr/ROD2zB5wIXndCkos6JVq9h29BRGvYZjp0r5+2Jna27DQAMJ0Q1Y/mema/9HB7YmNtzIvowi3l972LX+nbuu4ebOkV67VyEuRJIXHyYv58spctbZyCuxVNj25JC2vLFiP+D8ZfL7tIEoUGdKDigOB7bsbOwFBdgLClDr9eiaNsV64oQzQSorw1FSgj0/H0dZOY7iIhxmM0q5GcVsdi6bzSjmchxmC0p5OQ5zOfbTrUfV1ejJJynft4/C//3P+zepUqHS651da3r92Zfrvc7Z8uVwYExIAJ0Wv3bt0TZqiNrfiD0vF9RqNEFBKA4Han9/tA0bovbzA63W1YWnUqko3baN0h07CLnlFmeLVmAgKq0Ws93M3ty9pBWloVPrKDAXoKBgsVuwOqyUWkuxOWwoKDgcNhx2K4rDhqLWgEqNYilBsZXjsCs4NoY4b6tHHsVKKUfKcpjy1jEaZDnHUbRevw5teMUKvMW56aT3GgxA1IafMYXJ00be9NXWdNcg3NjwgArjWs4XoNew4ZkBhBg9G4CbWVDOj7szGNQ+gugwI2P/9TvrDp684P7ndksJUdMkealFyQuAze7gi63pfLb5qKsptjKRwX6oVCpW/L0PJoMMR1IcDqzHjqHY7Ki0GhSzGV3TpqiNRhSHs5tDdd5YDofFguXIEey5uc7kKicHR2EhDrMZR1ExBd9/j65pU1crjEqrxVFc7BpDhK/+O6hUFa6tMhrRhodjTUvD0KYNAb1vQO3nf7rbzQ+V4UxXmx8qnRY0GlRaHSqtFpVWc/q9FpVGg0qvR9HpOJCWhkqrpV3btqgcDorXrCXjuedAp6PNxg1oAiufRdVaVsym9/4OQI+Jb6HzlwnLvCUtt5Q+b/xW9Y6ntY0IZMXf+3jt+j/tzuCtXw5gMmjdKjU/PqgNj3h5tl4hLkaSl1qWvJwvr8TCzfPWc+xUZc8gwwO9Y7m1azOOnSrjYHYRD/VtKTU6rgBFUVDKylAZDKBW4ygqcrYMWSw4LBYUqxXFYkWxWJwvq3Od2mjEUV5O+Z49lO/ajWKzuZIhtb8/OBw4LBawWXFYLNhP5eMoLgbHlRkrUx1hEx+k0ZQpvg6jXnpzxX7m/XaowvrFf7ueU6UWJn663W39+2MTGNKh5rrt1h3MIafIzMguTetMK7C4Onjy+S1/3vtAaICebyf1ZMb/9hAVauRQdjEr92S5tn+4LpUP16W63rdrHMiAdhGVnUp4kUqlQmU8O+5I42HyG9ivX7X3VRwOZ1JTXo5SXo7icKDSaNA0aICjtAwUZ6uR/dQprCdOYE5JQSkrx2E50+1WjsPV/VYOVhuK3Y5is4HdhmJzLit2m3Ob1Zk4YbejWCxnW3nUaoJvGUXDSZM8uldR8xKaN0CrUXP4tZto8ewy1/prokJq9Lq95ckiUQdI8uIjjQL9XE8KFJVb2Z9ZRJC/joc+TSIlx72/+/5F23h6aDuGd2rC5sO5PPnfXfxjWHsm9G7hi9CFF6jUaudYGJMJTO5dMBqTc4yBqwsnIcEr13Q4HOzd65z7o13r1qh1Ojg9SLsqNnMZf3w3F4D4kVOkPIAXHTtV+SB07en6RGq1iqR/3EjCK78w9vrmNAq62ISTQtQP0m1Uy9gdCpmF5by5Yv8F52o41w+P3EB802B+P5yLTquma7TUHxGVs1gszJw5E4Bp06ahv8A8OJWRAbs159b5G9iels+7d3flhe/+ILfEwtND2/FQv5a+Dk2IK0q6jeqwM9NwvzWmC2+N6cI/Vx3k/1YeuOD+w/+5nmYN/F3jZx7q15KnhrSVMTLCq1RoyAlxLkcjM616U/rp/7tRof5sfnYg+zKKpI6QEFWQ5KWWe2Rga+6/IZZTpRZ+2p1JQZmV3BIzX2xJd+1z7sDfBatTOFVi4e+D2hAhzcvCSwLCIumzueJ08+LyfLklzTUZXXSoEZ1GTcdmwT6OSojar1YmL7fccgurV69m4MCB/Pe8GVTrowCDlgCDlgf6nB3jMvPWTuzNKOSW+RtcdZXO+HJrOl9uTadXqzA2HDo7s+4/77oGBZj7ywHevbsr7ZvIX3dC+NIz3+52LQf7S8FLIarrAgVPfOvRRx/l3//+t6/DqPXaNwli38uJHHl9GKkzb2L5lN70bn12grFzExeAR77YwaNf7OBwTgmJb6/jcI77zK12h8J7a1LYeOjCk1adKrHwv50ncFygBIIvFJVbXX+9ClEXdWoWLF29QnigViYv/fv3J/ACk2WJyqlUKto1DuI/47uz84XBvHpLPJP7tyLcdOFBmQP+bw3vrUlxJSLfJR/n9Z/2cfdHv7MzPb/C/oeyi7jm5ZU88sUOPt+SVmG7LzgcCnd+sJl+b/xGVmF51QeIS1JWkM1Pwzry07COlBVk+zqcOiW7sJyNh05isbm3kP667+z0CPPvqVijSAhxYR4nL2vXrmXEiBFERkaiUqlYunRphX3mz59PbGwsfn5+JCQksG7dOm/EKqop2Kjjnu7NeWJIW7b9YxBHXh/Gny8N4f9u78zs0Z24u3u0a9/Xf9pHq+eWMXTuWqZ+dbaK9ch3N7Bqb5arppHDoXDjnLPVbM+dl8aXvtt5nD9PFFJisfO/nZVXohaXz24zE5NiIybFht0mrVzVZbM76PvGau7+6Hfa/OMn9mUWAvDfpGPcv2iba78mwfLouRCe8HjMS0lJCZ07d+a+++5j9OjRFbYvXryYKVOmMH/+fHr16sX7779PYmIie/bsITra+aGZkJCA2VzxF+DPP/9MZKQUAKsJAQYtoxOaAXDHtVH8pXtzpn27i53HCnAoVFq2YPwn29Br1fRqGeZ6IuIMk1/FH51TJRbueH8Tfds05B/D42rmRs5zptAcwJyVBxh/Q6w0v1+ARqNh5MiRrmVP6P2DyPhLFwBa+stYqeo6lFNMmfVs8dLHv9rJj4/25omvz/7c9mwZJjPZCuGhy5rnRaVSsWTJEkaNGuVa1717d7p27cqCBQtc69q3b8+oUaNcc0xUx+rVq5k3b16VA3bNZrNbIlRYWEhUVFSdneflSrPYHCQdPUVuiZn8UivDOjbhi61pzF6+v8pjO0QGMalfK4Z1akJusZmEV35xbUudeVONJxFWu4PWz/3ktu7enjG8eHOHGr2uENW1dMdxpixOdlt34JVE2vzj7M/twVcT0WlqZQ++EFeUJ/O8ePV/jMViISkpicGDB7utHzx4MBs3bvTmpVxmzpxJcHCw6xUVJZNneUKvVdOjZRjDO0Xyl+ub0yBAz6R+rfjzpSFM6teSFuFnK8r2adOQlNduotPpRzn/PFHIw59vZ/Bba7j21V/czvuPpX/UeOxP/3dXhXWLNh6p8esKUV17MpzdROd21f79nGTm0YGtJXER4hJ49VHpkydPYrfbiYhwr8MTERFBZmZmtc8zZMgQtm/fTklJCc2aNWPJkiVce+21le47bdo0pk6d6np/puVFXJ4Ag5anhrbjqaHtyC02cyi7mG4xoWjUKv551zUMnbvO1Rx+IKu4wvGf/Z5G8zAjMWEBfLXtGG/c1okGAdWf0fVCsgvL2Z9VRKCfjm8vMAPxltQ8rosNvexrXW0cDgeHDjkLALZq1Qq1uvofmjZzGQd//QSA1gPGSXmAako+PfC9S1QIn//uHOT+4+4MwFm7aOqgNr4KTYg6rUbmeTm/u0BRFI+6EFasWFHtfQ0GAwaDodr7C8+FmQyEmc5+jZuHBbD35aGUmG289L8/+WrbMQCahvjzUL+WrlaX15btcx3z9qqDXunOeeDf29h5rACdxv3naenDvRj17gYAvt1+jGtjGvDniUL8dGpaNZIn1wBsNhtffPEF4Hl5gPLik/D3t53LG4ZhMsgfCFU5lF3EltQ8wJm8vHt3Vx7+/GyF6GtjJMEW4lJ5NXkJDw9Ho9FUaGXJzs6u0Boj6r4Ag5bZt3Vm9m2dcTgU1KcHHXaJCmH4P9e77bto4xHWHMihR8swJtwQy+bDeYzo3IRAv+pPzGWzO9h5rAAAq/3sUK2B7RrRJSqEQIOWIrONU6UWvtqWztPfOCcA+3piD/mguEwqNOSfrh8p5QGqlldicXs6r1VDE42D3We8/vug1lc6LCGuGl7tbNXr9SQkJLBy5Uq39StXrqRnz57evJSoZdTnPC0R3zSYI68P48dHb2Bi37PF5VJPlvD572kM+L81PLtkN7fM30h6XikZBWWVnbKCM3/FnqtpiD9zxnQB4N3Tc2Ws+DPLlbgA3P7eJn7anUF+qeVSbk3gLA/QY9teemzbS0CY754ILLXYKDbbfHb96pq9/Gyr43t/6YparSLIT8fors0IDdDz9cQeGLSSBApxqTxueSkuLnb1mwOkpqaSnJxMaGgo0dHRTJ06lbFjx9KtWzd69OjBBx98QFpaGhMnTvRq4KL26xAZTIfIYJ4c0pbV+7OZvzqFpKOnXNsPZRfTe/ZvAPjp1Pz0WB9iwwNQFIVNKbkczy9jROdI/HTOX/KVTYz3zl1dXNOqXxMdQsNAQ6Wz7T702XbCAvRs+8eN8ih1HbAj7RRWu+I2dsliczDin+spKLPx7UM9CfTTXvI4qt3HCvhh1wkeu7E1Rr2WnCIzv+7L4pZrmqHXXt7fdDa7g/8mObtSh3ZozND4Jq5t/3dH58s6txDCyePkZdu2bfTv39/1/sxg2XHjxrFo0SLGjBlDbm4uM2bMICMjg/j4eJYtW0bz5s29F7WoUzRqFQPbRzCwvbPrMD2vlH/+epAtqXkcyS0FoNzqoP+bq4kK9aeg1EphufOv66+2pfPVgz14b81hftjlHOjYv21DWjY0MSgugoTmZz/cAv10/PjoDbz4/Z9sST3FQ/1aYtCqXWNwcksstHx2Gf++vzs3nFNGQdQuu48VcMt859OJd3eP5rVbOgLOhCYlpwSAPm/8RqCfll8f70fDQM/HvI2Y5+zW/G1/Nu2bBPFdsnOCw8M5JUy7qf0lxb3uYA5j/7XF9T7EqOOfd19zSecSQlzcZc3zUht58py48D2r3cGM/+3hpz8yOVlcvZlbD72aiNaDx0vT80qZ/MUOt5IHWrUKlQre+0sCReU2Epo3ICrU6Gn4dYrFYnHNteTpgN2ygmx+HTcIgAGfrMQ/uFGNxAgw+fPtrkQV4O07u/Dk17uw2B0V9n391o7ceV10hfWVWbY7gw/XHeadO69xtfhV5i/XR/NQv1YE+WnRadSulr/K7D5WQGpuCSH+Ol5bttdtssfbE5rxxu3S0iJEdXny+S3Ji6g1jpws4VB2MVlF5aTmlPDR+tQK+/xv8g10PD3PjKc2peRy14ebK93WsWkw/3vkBgAyCsr4/Pc0burY5KqqvH05yUtxbjrpvZzzN0Vt+BlTWM09bRTzzI8e7X/rNU0ps9o5lF3M44PbMjS+cYV9Thab6fbKL5UcfXHxTYP43+QbKnQ12h0KLZ9ddtFjZaC4EJ7x5PO7Rh6VFuJSxIQHEHPOpHjPDWvPz3uy+CbpGGEmA6+Mir+sadR7tAxj94uDWXfwJJM+2+62bffxAmb8bw9ZheWueTj++eshvp/ci07NQi75mrWJRqMhMTHRtewJvX8Qx0Y75ySpyfIA359Tn+qxga15e9VBt+1PDG7DwexiVzcP4Dbfz8RPk9j/ylAMWg3FZht9Z/9GbsmlD9T+43ghW4+cIr5pED/uyiCxYxNMBi3PLdl9wWOiQv1pEW4iIbrBJV9XCHFx0vIi6q0daafYkprHzJ/2XXS/+3vFcv8NMTRrULFbyeFQ+Nf6VBoFGRjZpWlNhVov5BSZXTM1Nw7yY/OzA7n9vY1sPeIc5P3r431p0dCEoigUltvo/NLPFzxX24hA9mdVrNd1RouGAcy/pysZ+eWoVPDzniyS0/JdM+KeK9hfh1GvIaOgnN6tw2ka4s+XW9MrPW9EkIHfn73Rk9sWQpwm3UaSvAgPFJRa+e/2Y6TnlVJqsWHUa8kqLOenP87OVxQaoGd016a0axzEgHaNXE+5fJd8nMe+TAbg20k96XrOX9unSixc87Jz2oAZIzuQGN/kkgaX1gcLN6Ty0v/2uN6fGctSarGxen8Og+IiKkyjfyK/jG+SjhHopyWheSjf7zzOh+sqdjWeMX1EHHddF01aXimtGprcHu8HOJhVxPpDJ7m7ezTJaflsT8tn1vKLJ7afT+jOg58m0aKhib6tw7m5S6RMiijEJZLkRZIX4QUbDp3k5R/2VFpxu0NkENfGhLLuYI7rCRiALx64nh4twwCY9+tB3vz5QIVjtzw7kEZBfhXW1zSHw0FamvNx8+joaI/KA9itFtK2fu889tqb0egu7RHlcqsdRQF/vbPbymZ3cOOcNa6nzs64lMKeFpuDV3/cw470fE6VWgj21zGpXyuGdHCOgbmULsf/Jh1zqwDttm1iD7rFhFJmsaNRqy77EWsh6jtJXiR5EV50KLuI+b+l8P3OE9gcVf93eWF4HEt2HGf38YJKtwcatOx+aYi3w6ySrwfsWu0Orn31F/JLrVwTHcK3D/Wk7xurSctzT1z+1qcFz17i48o1bW9GIQ2MehyKQmSI1HcSwptkwK4QXtSqUSBzxnRhzpgu/HG8gKU7jrPpcC6Hc0oIDdDzyIBWfL/zBBtTcgGY8cOei56vyGxjzPubePeeroQa9Xy5NZ0Ag4a4JkHsyyxiRGffzWB7MaWX2eP1++E88kutAOxIy+ejdaluictd10XRsWkIoxNq79ihq+npMyHqMklehPBAfNNg4ptWfFT7zuui2Xw4l8e/2snx/LPlDv7aozmT+rUiwKDh2KkyEt9eB8DvqXl0e+UX4psG8cdx90GiDYx6erQMu6wnq7zNFBZFws69l3WOzYdz3d6/usx5vhCjjuQXBl/WuYUQ9YskL0J4yfUtwlj/dH+sdgW7Q+FgdhHxkcGugaHtm+j46bHergQGqJC4AMz77SAPfZbEfT1jmDq47RWL/3Kt3p/NC9/9ycuj4unbpqHbtvS8Uub95iwrcn4JhwX3JFzROIUQdZ+MMBPCi1Qq58BNf72GTs1CKjzR0r5JEAdfTWRy/1YXPMfmw3kUldt459dDKIqCoiiUW+01Hfplm7lsH2l5pYz7eAsnzml9yi4qd5vR9rGBZ6spz76tk2uAsxBCVJe0vAhxhek0ap4Y0paH+7di57F8okON9Hz910r3vXfhVtYcyAEgJszIyql90ahUFZKimmYuymXlBGd5gEEfrcQQ6J5wKIpCZmG5633P13+lYaCBMd2iXC0uZ9zTPRq9Vk1mQTm3JzSr+eCFEFcdSV6E8BF/vYbrWziTgCOvD8Nqd/CfTUf5cXcGR3NLOFlscSUuAEdyS2n93E8AtG5kYninSB7oE4tRX/P/ja2WUlruLHMtG3BPXpbsOE5BmdVtXU6RuULi8tsT/VCpVNzRrebKCwghrn7yqLQQtZCiKCzems6aAzluk+VV5v9u70zv1uFVzh1jt9vZvNlZ2+n666/3qESApTifX6ffCcCAl75EbwpxbcsuLKfn679icyhMuCGWI7ml/LI3y+34Rwa0YuqgNh7P3SKEqD9knhdJXsRVpsxiZ/7qQ/zz10MX3GdIhwhGdmmKzaEwrGMTDucUsyM9n9sTmtVY0nAou4gb56wFQK9Vs/35QZgMWnKKzPxn0xH+tyuDuWO60DkqpEauL4S4ekjyIsmLuMpZ7Q5W7sni35uOsPlw3kX3HdklkrfvvMbrMRSVW+n44tn6QrNv6yTdQUKISybJiyQvoh6x2Bx8v/MEy//IrNBdc0b32FBaNQxgRGt/okKNNGnSpEJ5AEVRyCo0E2LUYXMo/H44l3CTgX9vOkqv2CB6+B8FIN2vHX//7x63+Ww+n9Cdnq3Ca+4mhRBXPUleJHkR9ZSiKLy35jA/7j5BfqmVY6fOJhha7Iz13wFAx2HjsKOh3Obgp90Z/J6ah/0ipQ9C7Cf54n+vA3DXiGfI15xNVMb1aM5LI+Nr6I6EEPWFlAcQop5SqVQ81K8lD/VrCcCxU6XMWr6f/+084bbfU//dhY3qD9gFsFUyK9TguAieGxZ3yfEKIcSlkJYXIeqJfcfzWPzRPwE42GQgWp0enUZNudVOQ5OB62JDCTBoOZ5fRpNgPzpEBpGSU0LfNg3ZkZbvmijPanfQOSqEYH8dfjrPEiAhhLgQaXkRQlTQoqHJtfzxvddVq6p0q0aBADILrhCiVpHyAEIIIYSoUyR5EUJUyVyUyw9jr+OHsddhLsqt+gAhhKhB0m0khKiS1VJKy61FruXzywMIIcSVJMmLEPWERqOhb9++rmVP6A2BpA6MAKClIdDrsQkhhCfkaSMhhBBC+Jwnn98y5kUIIYQQdYp0GwlRTyiKQk5ODgANGzb0qFijw26nMOMAAEFN2qD2sNtJCCG8qda1vBQVFXHttdfSpUsXOnbsyIcffujrkIS4KlitVhYsWMCCBQuwWq0eHVuaf4KMG28l48ZbKc0/UfUBQghRg2pdy4vRaGTNmjUYjUZKS0uJj4/n1ltvJSxMnm4QQgghRC1MXjQaDUajEYDy8nLsdjtX2ZhiIeocY0gkLbdvBkBrMFWxtxBC1CyPu43Wrl3LiBEjiIyMRKVSsXTp0gr7zJ8/n9jYWPz8/EhISGDdunUeXSM/P5/OnTvTrFkznnrqKcLDw6s+SAhRY9QaDXpjMHpjsIx3EUL4nMfJS0lJCZ07d2bevHmVbl+8eDFTpkzhueeeY8eOHfTu3ZvExETS0tJc+yQkJBAfH1/hdeKEsy89JCSEnTt3kpqayueff05WVtYl3p4QQgghrjYedxslJiaSmJh4we1z5sxh/PjxTJgwAYC5c+eyYsUKFixYwMyZMwFISkqq1rUiIiLo1KkTa9eu5fbbb690H7PZjNlsdr0vLCys7q0IIarJUpzPyinDABg090f0phDfBiSEqNe8+rSRxWIhKSmJwYMHu60fPHgwGzdurNY5srKyXAlIYWEha9eupW3bthfcf+bMmQQHB7teUVFRl34DQohKWcxFtFifR4v1eVjMRb4ORwhRz3l1wO7Jkyex2+1ERES4rY+IiCAzM7Na5zh27Bjjx49HURQURWHy5Ml06tTpgvtPmzaNqVOnut4XFhZKAiNEJTQaDT169HAte0JvCOTwDaGAlAcQQvhejTxtdP7kV4qiVHtCrISEBJKTk6t9LYPBgMFg8CQ8IeoljUZToVW0uvSmEIZ9tMHLEQkhxKXxardReHg4Go2mQitLdnZ2hdYYIYQQQohL4dXkRa/Xk5CQwMqVK93Wr1y5kp49e3rzUkIIDymKQn5+Pvn5+R7PneSw27GUFmApLcBht9dQhEIIUT0edxsVFxdz6NAh1/vU1FSSk5MJDQ0lOjqaqVOnMnbsWLp160aPHj344IMPSEtLY+LEiV4NXAjhGavVyttvvw04x4rp9fpqH1uaf4L0Xs4up6gNP2MKk3FlQgjf8Th52bZtG/3793e9PzNYdty4cSxatIgxY8aQm5vLjBkzyMjIID4+nmXLltG8eXPvRS2EEEKIesvj5KVfv35VNjlPmjSJSZMmXXJQQojaxRgSSZNfvnUtCyGEL9W62kZCiNpHrdEQ0qy9r8MQQgjAywN2hRBCCCFqmiQvQogqWYrzWfZwP5Y93A9Lcb6vwxFC1HPSbSSEqJLFXETsqizXstQ2EkL4kiQvQtQTarWabt26uZY9odMbSbnWWRaghd7o9diEEMITKsXT2apqucLCQoKDgykoKCAoKMjX4QghhBCiGjz5/JYxL0IIIYSoU6TbSIh6QlEUSktLATAajdUuliqEELWNtLwIUU9YrVbefPNN3nzzTaxWq0fHFuemszuuPbvj2lOcm15DEQohRPVIy4sQolq0Dl9HIIQQTpK8CCGq5B8UQch/F7iWhRDClyR5EUJUSaPT0yS+n6/DEEIIQMa8CCGEEKKOkeRFCFElS3E+yx8fyvLHh0p5ACGEz0nyIoSoksVcRPMfj9L8x6NYzEW+DkcIUc/JmBch6gm1Wk3nzp1dy57Q6Y2kdPYHpDyAEML3pDyAEEIIIXxOygMIIYQQ4qol3UZC1BOKorhm1tXpdFIeQAhRZ0nLixD1hNVqZebMmcycOfOSygMkdW5PUmcpDyCE8D1peRFCVIvR7OsIhBDCSZIXIUSV/IMi8Pv4ZdeyEEL4kiQvQogqaXR6Ynve5uswhBACkDEvQgghhKhjJHkRQlTJUlrAyudGsvK5kVhKC3wdjhCinpNuIyFElSxlhTT75oBzeWohemOwjyMSQtRnkrwIUU+o1Wri4uJcy57QaA0cbqcHIEZr8HpsQgjhiVpZHkCr1RIfHw9At27d+Oijj6p9rJQHEEIIIeoeTz6/a2XLS0hICMnJyb4OQwghhBC1kAzYFUIIIUSd4nHysnbtWkaMGEFkZCQqlYqlS5dW2Gf+/PnExsbi5+dHQkIC69at8+gahYWFJCQkcMMNN7BmzRpPQxRCVMJisfDSSy/x0ksvYbFYPDq2JPcEm7q1Z1O39pTknqihCIUQono87jYqKSmhc+fO3HfffYwePbrC9sWLFzNlyhTmz59Pr169eP/990lMTGTPnj1ER0cDkJCQgNlcca7xn3/+mcjISI4cOUJkZCR//PEHw4YNY/fu3TJ+RQgfUrATUnx2WQghfMnj5CUxMZHExMQLbp8zZw7jx49nwoQJAMydO5cVK1awYMECZs6cCUBSUtJFrxEZGQlAfHw8cXFxHDhwgG7dulW6r9lsdkuECgsLPbofIUTV/Ezh8NZjZ5eFEMKHvDrmxWKxkJSUxODBg93WDx48mI0bN1brHKdOnXIlI8eOHWPPnj20aNHigvvPnDmT4OBg1ysqKurSb0AIUSmtwZ/2iRNpnzgRrcHf1+EIIeo5ryYvJ0+exG63ExHhXrgtIiKCzMzMap1j7969dOvWjc6dOzN8+HDefvttQkNDL7j/tGnTKCgocL3S09Mv6x6EEEIIUbvVyKPSKpXK7b2iKBXWXUjPnj3ZvXt3ta9lMBgwGGTSLCFqkqW0gPVzJgJww9T3ZIZdIYRPeTV5CQ8PR6PRVGhlyc7OrtAaI4SoOyxlhTT5NNm5/JCUBxBC+JZXu430ej0JCQmsXLnSbf3KlSvp2bOnNy8lhPCQWq2mdevWtG7d+pLKAxxpqeVISy0aKQ8ghPAxj1teiouLOXTokOt9amoqycnJhIaGEh0dzdSpUxk7dizdunWjR48efPDBB6SlpTFx4kSvBi6E8IxWq+Xuu+++pGP9gxuR+GP1u3OFEKImeZy8bNu2jf79+7veT506FYBx48axaNEixowZQ25uLjNmzCAjI4P4+HiWLVtG8+bNvRe1EEIIIeqtWlmY8XJIYUYhhBCi7vHk81tqGwlRT1gsFl577TVee+21SyoPsPb69qy9XsoDCCF8r1ZWlRZC1Ayr1XpJxynYaZh/dlkIIXxJkhchRJX8TOGYZ/zVtSyEEL4kyYsQokpagz9d7pjm6zCEEAKQMS9CCCGEqGOk5UUIUSVrWTGb3vs7AD0mvoXO3+TjiIQQ9ZkkL0KIKplLT9Hw/fXO5b+ekuRFCOFTkrwIUU+oVCrXZJHVLZR6hlqtIy3K2cvcXK3zemxCCOEJmaROCCGEED4nk9QJIYQQ4qolyYsQQggh6hRJXoSoJywWC2+88QZvvPGGx+UBSk9l8mufOH7tE0fpqcwailAIIapHBuwKUY+UlpZe0nEOh5Um2YprWQghfEmSFyFElfxM4RQ9PdK1LIQQviTJixCiSlqDP9fd97qvwxBCCEDGvAghhBCijpGWFyFElaxlxST9+3kAEv76ssywK4TwKUlehBBVMpeeIvit5c7l26ZK8iKE8ClJXoSoJ1QqFZGRka5lT6jVOo43dh4j5QGEEL4m5QGEEEII4XNSHkAIIYQQVy1JXoQQQghRp0jyIkQ9YbVamTt3LnPnzsVq9WyW3NJTmfw8sAM/D+wg5QGEED4nA3aFqCcURaGgoMC17AmHw0rUcYdrWQghfEmSFyFElQzGBuRN7g9AK2MDH0cjhKjvJHkRQlRJ52+i1+T5vg5DCCEAGfMihBBCiDqm1iUv+/fvp0uXLq6Xv78/S5cu9XVYQtRrNnMZ2z+bzvbPpmMzl/k6HCFEPVfruo3atm1LcnIyAMXFxcTExDBo0CDfBiVEPVdefBL/l79yLg+dgMkQ5eOIhBD1Wa1LXs71/fffM3DgQAICAnwdihB1nkqlomHDhq5lj45FQ1aYczkajbdDE0IIj3jcbbR27VpGjBhBZGQkKpWq0i6d+fPnExsbi5+fHwkJCaxbt+6Sgvvqq68YM2bMJR0rhHCn0+mYNGkSkyZNQqfzrD5RQFgk/Tbspd+GvQSERdZQhEIIUT0eJy8lJSV07tyZefPmVbp98eLFTJkyheeee44dO3bQu3dvEhMTSUtLc+2TkJBAfHx8hdeJEydc+xQWFrJhwwZuuummS7gtIYQQQlytLqswo0qlYsmSJYwaNcq1rnv37nTt2pUFCxa41rVv355Ro0Yxc+bMap/7P//5DytWrODTTz+96H5msxmz2ex6X1hYSFRUlBRmFEIIIeoQnxVmtFgsJCUlMXjwYLf1gwcPZuPGjR6dq7pdRjNnziQ4ONj1ioqSgYRCVMZqtTJ//nzmz59/SeUBlg+NZ/nQeCkPIITwOa8mLydPnsRutxMREeG2PiIigszM6v/CKygoYMuWLQwZMqTKfadNm0ZBQYHrlZ6e7nHcQtQHiqKQk5NDTk7OJZUHaH7ETvMjdikPIITwuRp52uj8JxkURfHo6Ybg4GCysrKqta/BYMBgMHgUnxDCMwZjA7Luuw6Q8gBCCN/zavISHh6ORqOp0MqSnZ1doTVGCFF36PxN9Hv6E1+HIYQQgJe7jfR6PQkJCaxcudJt/cqVK+nZs6c3LyWEEEKIesrjlpfi4mIOHTrkep+amkpycjKhoaFER0czdepUxo4dS7du3ejRowcffPABaWlpTJw40auBCyGuHJu5jH3L3weg3dAH0Rr8fRyREKI+8zh52bZtG/3793e9nzp1KgDjxo1j0aJFjBkzhtzcXGbMmEFGRgbx8fEsW7aM5s2bey9qIcQVVV58Es3TzuSl/IbRUh5ACOFTHicv/fr1q/JJhTOzeAohag+VSkVwcLBr2aNj0ZB3etoFKQ8ghPC1y5qkrjbyZJIbIYQQQtQOPpukTgghhBCipknyIoQQQog6RZIXIeoJq9XKhx9+yIcffuhxeYCygmyW3dyJZTd3oqwgu4YiFEKI6qmRGXaFELWPoiiuyu2eDnWz28zEHrC6loUQwpckeRFCVEnvH8SJO+MBaOkvA+GFEL4lyYsQokp6YzADX/za12EIIQQgY16EEEIIUcdIy4sQokp2q4XD674AoEXvu9Do9D6OSAhRn0nyIoSoUllhFrZJrzuXNwzAFCblAYQQviPJixD1iNFovORji6QWoxCilpDyAEIIIYTwOSkPIIQQQoirliQvQgghhKhTJHkRop6wWq0sWrSIRYsWXVJ5gB9uu4YfbrtGygMIIXxOBuwKUU8oisLRo0ddy56w28y0/KPctSyEEL4kyYsQokp6/yDSRrYApDyAEML3JHkRQlRJbwxmyKwffR2GEEIAMuZFCCGEEHWMtLwIIapkt1o4sWslAJGdBkl5ACGET0nyIoSoUllhFsX3POFc3vCzlAcQQviUJC9C1CM6ne6SjzVf+qFCCOFVUh5ACCGEED4n5QGEEEIIcdWS5EUIIYQQdYokL0LUEzabjc8//5zPP/8cm83m0bHmolx+uKsbP9zVDXNRbg1FKIQQ1SMDdoWoJxwOBwcPHnQte8JqKaXljhLXsoEwr8cnhBDVVStbXt588006dOhAfHw8n376qa/DEaLe0xsCOTIkkiNDItEbAn0djhCinqt1LS+7d+/m888/JykpCYCBAwcyfPhwQkJCfBuYEPWY3hRC4turfB2GEEIAtbDlZe/evfTs2RM/Pz/8/Pzo0qULy5cv93VYQgghhKglPE5e1q5dy4gRI4iMjESlUrF06dIK+8yfP5/Y2Fj8/PxISEhg3bp11T5/fHw8v/32G/n5+eTn5/Prr79y/PhxT8MUQniRw27nZEoSJ1OScNjtvg5HCFHPedxtVFJSQufOnbnvvvsYPXp0he2LFy9mypQpzJ8/n169evH++++TmJjInj17iI6OBiAhIQGz2Vzh2J9//pm4uDgeffRRBgwYQHBwMNdeey1aba3r3RKiXinNP0HOsL8A4CflAYQQPuZxVpCYmEhiYuIFt8+ZM4fx48czYcIEAObOncuKFStYsGABM2fOBHCNZ7mQBx98kAcffBCACRMm0KpVqwvuazab3RKhgoICwDlTnxDiLIvFQnl5OeD8/6HXV7+4YnFREcWnW1wKi4pw6OT/lxDCu858bldr4n/lMgDKkiVLXO/NZrOi0WiUb7/91m2/Rx99VOnTp0+1z5uVlaUoiqLs27dP6dixo2K1Wi+47/Tp0xVAXvKSl7zkJS95XQWv9PT0KvMEr/bHnDx5ErvdTkREhNv6iIgIMjMzq32eUaNGkZ+fT0BAAAsXLrxot9G0adOYOnWq673D4SAvL4+wsDBUKpXnN3ERhYWFREVFkZ6eflXWTbra7w+u/nuU+6v7rvZ7lPur+2rqHhVFoaioiMjIyCr3rZHBJOcnDYqieJRIbNy4sdr7GgwGDAaD27qafqw6KCjoqv2hhKv//uDqv0e5v7rvar9Hub+6rybuMTg4uFr7efVR6fDwcDQaTYVWluzs7AqtMUIIIYQQl8KryYterychIYGVK1e6rV+5ciU9e/b05qWEEEIIUU953G1UXFzMoUOHXO9TU1NJTk4mNDSU6Ohopk6dytixY+nWrRs9evTggw8+IC0tjYkTJ3o1cF8wGAxMnz69QjfV1eJqvz+4+u9R7q/uu9rvUe6v7qsN96g6/dRQta1evZr+/ftXWD9u3DgWLVoEOCepmz17NhkZGcTHx/PWW2/Rp08frwQshBBCiPrN4+RFCCGEEMKXal1tIyGEEEKIi5HkRQghhBB1iiQvQgghhKhTJHmppsuplO1LM2fO5NprryUwMJBGjRoxatQo9u/f77bPvffei0qlcntdf/31bvuYzWYeeeQRwsPDCQgI4Oabb+bYsWNX8lYq9eKLL1aIvXHjxq7tiqLw4osvEhkZib+/P/369ePPP/90O0dtvbczYmJiKtyjSqXi4YcfBure96+qyvTe+p6dOnWKsWPHEhwcTHBwMGPHjiU/P7+G7+7i92e1Wnn66afp2LEjAQEBREZG8te//pUTJ064naNfv34Vvqd33nlnrbg/qPp76K2fydr4PQQq/f+oUql44403XPvU5u9hdT4Xavv/Q0lequFMpeznnnuOHTt20Lt3bxITE0lLS/N1aFVas2YNDz/8MJs3b2blypXYbDYGDx5MSUmJ235Dhw4lIyPD9Vq2bJnb9ilTprBkyRK+/PJL1q9fT3FxMcOHD8d+ulifL3Xo0MEt9t27d7u2zZ49mzlz5jBv3jy2bt1K48aNGTRoEEVFRa59avO9AWzdutXt/s7Mo3T77be79qlL378zlennzZtX6XZvfc/uvvtukpOTWb58OcuXLyc5OZmxY8f69P5KS0vZvn07zz//PNu3b+fbb7/lwIED3HzzzRX2feCBB9y+p++//77bdl/dH1T9PQTv/EzWxu8h4HZfGRkZfPzxx6hUKkaPHu22X239Hlbnc6HW/z+sdrXEeuy6665TJk6c6LauXbt2yjPPPOOjiC5ddna2Aihr1qxxrRs3bpwycuTICx6Tn5+v6HQ65csvv3StO378uKJWq5Xly5fXZLhVmj59utK5c+dKtzkcDqVx48bK66+/7lpXXl6uBAcHK++9956iKLX73i7kscceU1q2bKk4HA5FUer29w/ci7t663u2Z88eBVA2b97s2mfTpk0KoOzbt6+G7+qs8++vMlu2bFEA5ejRo651ffv2VR577LELHlNb7k9RKr9Hb/xM1pZ7rM73cOTIkcqAAQPc1tWl7+H5nwt14f+htLxUwWKxkJSUxODBg93WDx482KMaTLVFQUEBAKGhoW7rV69eTaNGjWjTpg0PPPAA2dnZrm1JSUlYrVa3r0FkZCTx8fG14mtw8OBBIiMjiY2N5c477+Tw4cOAcwLFzMxMt7gNBgN9+/Z1xV3b7+18FouFTz/9lPvvv9+tXlhd/v6dy1vfs02bNhEcHEz37t1d+1x//fUEBwfXunsuKChApVJVqMn22WefER4eTocOHXjiiSfc/uKtC/d3uT+TdeEeAbKysvjxxx8ZP358hW115Xt4/udCXfh/WCOFGa8m3qqUXRsoisLUqVO54YYbiI+Pd61PTEzk9ttvp3nz5qSmpvL8888zYMAAkpKSMBgMZGZmotfradCggdv5asPXoHv37vz73/+mTZs2ZGVl8corr9CzZ0/+/PNPV2yVfe+OHj0KUKvvrTJLly4lPz+fe++917WuLn//zuet71lmZiaNGjWqcP5GjRrVqnsuLy/nmWee4e6773YrcHfPPfcQGxtL48aN+eOPP5g2bRo7d+50dRnW9vvzxs9kbb/HMz755BMCAwO59dZb/7+9uwdpZIviAH6a8ZMgKCuZNRhEBAujGG3SWFjIyoYtLPwghY2CQnYRLCwXOys7FYsodltZCBayYaMouioY8RPJsvGjEJHgRkHRrP5f5eA8o1ncgHPf+/8gMNzcGebMuZd7SGYYU7sqOUy2LqgwD1m8/KG/fVO2Ffj9ftnY2JCFhQVTe0tLi7FdUVEhtbW14nQ6ZXp6+tGEfMgK16CxsdHYdrlc4vF4pLS0VCYmJowbBF+SOyvElkwgEJDGxkbTK+NVzt9T0pGzZP2tFHMikZDW1la5u7uT4eFh03ednZ3GdkVFhZSVlUltba2sra2J2+0WEWvHl64xaeUY742NjYnP55OsrCxTuyo5fGpdELH2POTfRin8V96U/fHjR5mampJQKCQOh+PZvrqui9PplEgkIiIidrtdbm5u5OzszNTPitcgNzdXXC6XRCIR46mj53KnUmwHBwcSDAalo6Pj2X4q5y9dObPb7XJycvLo+Kenp5aIOZFISHNzs0SjUfn69avpV5dk3G63aJpmyqmV4/u3l4xJFWKcn5+Xvb29lHNSxJo5fGpdUGEesnhJQfU3ZQMQv98vk5OT8u3bNykpKUm5TywWk6OjI9F1XUREampqRNM00zU4Pj6Wra0ty12D6+tr2d3dFV3XjZ9sH573zc2NzM3NGeetUmzj4+NSWFgo79+/f7afyvlLV848Ho/E43FZWVkx+iwvL0s8Hn/1mO8Ll0gkIsFgUAoKClLus729LYlEwsipleNL5iVjUoUYA4GA1NTUSFVVVcq+VsphqnVBiXn4V7f7/k98+fIFmqYhEAhgZ2cHPT09yM3Nxf7+/mufWkrd3d3Iy8vD7Owsjo+Pjc/l5SUA4OLiAr29vVhcXEQ0GkUoFILH40FRURHOz8+N43R1dcHhcCAYDGJtbQ319fWoqqrC79+/Xys0AEBvby9mZ2fx8+dPfP/+HV6vFzabzcjNwMAA8vLyMDk5ic3NTbS1tUHXdSVie+j29hbFxcXo6+sztauYv4uLC4TDYYTDYYgIBgcHEQ6Hjadt0pWzd+/eobKyEktLS1haWoLL5YLX633V+BKJBD58+ACHw4H19XXTnLy+vgYA/PjxA/39/VhdXUU0GsX09DTKy8tRXV1tifhSxZjOMWnFHN6Lx+PIycnByMjIo/2tnsNU6wJg/XnI4uUPDQ0Nwel0IiMjA2632/SosZWJSNLP+Pg4AODy8hINDQ148+YNNE1DcXEx2tvbcXh4aDrO1dUV/H4/8vPzkZ2dDa/X+6jPa2hpaYGu69A0DW/fvkVTUxO2t7eN7+/u7vD582fY7XZkZmairq4Om5ubpmNYNbaHZmZmICLY29sztauYv1AolHRMtre3A0hfzmKxGHw+H2w2G2w2G3w+H87Ozl41vmg0+uScDIVCAIDDw0PU1dUhPz8fGRkZKC0txadPnxCLxSwRX6oY0zkmrZjDe6Ojo8jOzsavX78e7W/1HKZaFwDrz0O+VZqIiIiUwnteiIiISCksXoiIiEgpLF6IiIhIKSxeiIiISCksXoiIiEgpLF6IiIhIKSxeiIiISCksXoiIiEgpLF6IiIhIKSxeiIiISCksXoiIiEgpLF6IiIhIKf8A5NmmXJrJrBIAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "852 : \t SleeperStayer\n", "854 : \t Composite\n", "854 : \t SleeperDrifter\n", "\n", "Correct:\n", "852 : \t SleeperStayer\n", "854 : \t Composite\n", "854 : \t SleeperDrifter\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(), SleeperStayer(), SleeperDrifter()]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite, change_point=t)" ] }, { "cell_type": "markdown", "id": "0675f4ef-32a1-461f-b358-012a0ba287f1", "metadata": {}, "source": [ "## Real-world datasets" ] }, { "cell_type": "markdown", "id": "ed690604-4dff-416f-9cfd-a09deb76e1eb", "metadata": {}, "source": [ "We will also illustrate the generation of martingales using a couple of real-world dataset, for which we however do not know if there is any data drift; we will just rely on the ability of the algorithms to control the false alarm rate. We will re-use the threshold $c = 100$ that we set above, which means that the probability of observing a martingale higher than this is less than $1/c$ if the assumption of exchangeability holds. You may consider repeating the below investigations with randomly shuffled datasets for which you should not expect to detect any data drift (assuming that a sufficiently large $c$ has been chosen)." ] }, { "cell_type": "markdown", "id": "2e024a64-d216-4080-9830-7a49e1996b68", "metadata": {}, "source": [ "### House pricing" ] }, { "cell_type": "markdown", "id": "6db9c40c-7eff-47a7-a57f-f0bdee59d790", "metadata": {}, "source": [ "We first import the house sales dataset from [www.openml.org](https://www.openml.org/), and sort it based on year, month and day, after which these features are removed. We devise a training set from the 10 000 first instances and put the remaining instances in the test set. " ] }, { "cell_type": "code", "execution_count": 13, "id": "0f3b8a39-12a7-47d6-8fe0-5114a0d7cea5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_train: (10000, 18)\n", "y_train: (10000,)\n", "X_test: (11613, 18)\n", "y_test: (11613,)\n" ] } ], "source": [ "np.random.seed(2025)\n", "\n", "dataset = fetch_openml(name=\"house_sales\", version=3, parser=\"auto\")\n", "\n", "sorted_index = dataset.data.sort_values([\"date_year\", \n", " \"date_month\", \n", " \"date_day\"]).index\n", "\n", "# Uncomment the following if you want to investigate what happens when \n", "# the dataset is randomly shuffled\n", "\n", "#sorted_index = np.random.choice(np.arange(len(dataset.data)), \n", "# len(dataset.data), \n", "# replace=False)\n", "\n", "X = dataset.data.loc[sorted_index].drop([\"date_year\", \n", " \"date_month\", \n", " \"date_day\"], \n", " axis=\"columns\").values.astype(float)\n", "\n", "y = dataset.target.loc[sorted_index].values.astype(float)\n", "\n", "test_start = 10000\n", "\n", "X_train = X[:test_start]\n", "y_train = y[:test_start]\n", "X_test = X[test_start:]\n", "y_test = y[test_start:]\n", "\n", "print(f\"X_train: {X_train.shape}\")\n", "print(f\"y_train: {y_train.shape}\")\n", "print(f\"X_test: {X_test.shape}\")\n", "print(f\"y_test: {y_test.shape}\")" ] }, { "cell_type": "markdown", "id": "87f83cdf-640d-4c75-9278-89a5fdb1ae78", "metadata": {}, "source": [ "We wrap a `RandomForestRegressor`, fit it using the training set, and then form a conformal predictive system with an initially empty calibration set.\n", "The calibration set is extended with each test instance in turn, after having generated a p-value for it, i.e., the p-values are computed in the semi-online mode." ] }, { "cell_type": "code", "execution_count": 14, "id": "0b59825f-18d6-4c9a-ad3e-f4631c3b71b8", "metadata": {}, "outputs": [], "source": [ "rf = WrapRegressor(RandomForestRegressor(n_jobs=-1))\n", "\n", "rf.fit(X_train, y_train)\n", "\n", "rf.calibrate(cps=True)\n", "\n", "p_values = rf.predict_p(X_test, y_test, online=True)" ] }, { "cell_type": "markdown", "id": "d9a6ee6e-e30d-4260-85fb-b11688cd7b89", "metadata": {}, "source": [ "Below we plot the martingales generated from this sequence of p-values, using the same set of algorithms as used above." ] }, { "cell_type": "markdown", "id": "b94eed90-2831-40eb-ab87-12d8be5e1a1a", "metadata": {}, "source": [ "#### Simple Jumper" ] }, { "cell_type": "markdown", "id": "c0984fd8-c9c8-47f2-9a64-2048e265599e", "metadata": {}, "source": [ "In addition to using two alternative betting functions with `SimpleJumper`, we also compare the default jumping rate, i.e., $J = 0.01$, to one that may work better for longer sequences with no drift, i.e., $J = 0.0001$." ] }, { "cell_type": "code", "execution_count": 15, "id": "cdd81eb0-7678-4aa7-bf43-9e9f88caacde", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6508 : \t SimpleJumper (epsilon, J = 0.0001)\n", "6650 : \t SimpleJumper (step, J = 0.0001)\n", "7633 : \t SimpleJumper (epsilon)\n", "8683 : \t SimpleJumper (step)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", " \"SimpleJumper (epsilon, J = 0.0001)\" : SimpleJumper(J = 0.0001).apply(p_values),\n", " \"SimpleJumper (step, J = 0.0001)\" : SimpleJumper(J = 0.0001, bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper)" ] }, { "cell_type": "markdown", "id": "83615dcb-84fc-431b-a5ba-a468dbae06b3", "metadata": {}, "source": [ "#### Sleeper/Stayer" ] }, { "cell_type": "markdown", "id": "1059d36a-c415-443c-be51-483790e5bd3c", "metadata": {}, "source": [ "We use the two betting functions also with `SleeperStayer`, and compare using the default investment rate ($R = 0.001$) with $R = 0.0001$." ] }, { "cell_type": "code", "execution_count": 16, "id": "dbf9258a-335a-454f-bb0e-540df0e28bc6", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6180 : \t SleeperStayer (epsilon, R = 0.0001)\n", "6181 : \t SleeperStayer (step, R = 0.0001)\n", "6653 : \t SleeperStayer (step)\n", "6685 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", " \"SleeperStayer (epsilon, R = 0.0001)\" : SleeperStayer(R = 0.0001, bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step, R = 0.0001)\" : SleeperStayer(R = 0.0001).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer)" ] }, { "cell_type": "markdown", "id": "ec728a4e-c141-40ec-9259-0b0f5568509c", "metadata": {}, "source": [ "#### Sleeper/Drifter" ] }, { "cell_type": "markdown", "id": "fea0c93e-897b-4628-8835-eb904974f434", "metadata": {}, "source": [ "We also compare the default investment rate ($R = 0.1$) to $R = 0.01$ for `SleeperDrifter`, in conjunction with three different betting functions." ] }, { "cell_type": "code", "execution_count": 17, "id": "80beefe1-c3c3-443e-95d9-3c6f1ad6c484", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6180 : \t SleeperDrifter (epsilon, R = 0.01)\n", "6181 : \t SleeperDrifter (step, R = 0.01)\n", "6371 : \t SleeperDrifter (step & drift, R = 0.01)\n", "6654 : \t SleeperDrifter (step)\n", "6688 : \t SleeperDrifter (epsilon)\n", "6696 : \t SleeperDrifter (step & drift)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (epsilon, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter)" ] }, { "cell_type": "markdown", "id": "24669cf3-1861-4990-a72b-4c6c5031c8c1", "metadata": {}, "source": [ "#### Composite martingale" ] }, { "cell_type": "code", "execution_count": 18, "id": "a4172986-3813-4cb1-9792-df0489d1c0fb", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6181 : \t SleeperStayer\n", "6371 : \t SleeperDrifter\n", "6372 : \t Composite\n", "6508 : \t SimpleJumper\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(J = 0.0001), SleeperStayer(R = 0.0001), SleeperDrifter(R = 0.01)]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite)" ] }, { "cell_type": "markdown", "id": "183fd193-213f-4b51-9e5a-2548de1eb37b", "metadata": {}, "source": [ "### Lipophilicity" ] }, { "cell_type": "markdown", "id": "e83a1f06-8c4f-4a13-b7fd-bec1019cff33", "metadata": {}, "source": [ "Finally, we consider another real-world dataset, concerning the prediction of the chemical property lipophilicity, based on binary features, generated from so-called SMILES strings, using the `rdkit` package. Before splitting the data into a training and test set, using the first 2000 instances for the former, we sort the dataset according to the ChEMBL identifier.\n", "\n", "The p-values for the test set are as above obtained using a conformal predictive system with semi-online calibration, i.e., the underlying model obtained from the training set stays the same, while the calibration set is iteratively updated." ] }, { "cell_type": "code", "execution_count": 19, "id": "8c8f437a-b72f-49fb-a341-658704ff666e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_train: (2000, 1024)\n", "y_train: (2000,)\n", "X_test: (2200, 1024)\n", "y_test: (2200,)\n" ] } ], "source": [ "np.random.seed(2025)\n", "\n", "url = (\"https://deepchemdata.s3-us-west-1.amazonaws.com/datasets/\"\n", " \"Lipophilicity.csv\")\n", "\n", "df = pd.read_csv(url)\n", "df[\"No\"] = [int(s.split(\"CHEMBL\")[1]) for s in df[\"CMPD_CHEMBLID\"]]\n", "\n", "df = df.sort_values(\"No\")\n", "\n", "y = df[\"exp\"].values\n", "\n", "molecules = [rdkit.Chem.MolFromSmiles(s) for s in df[\"smiles\"]]\n", "\n", "fpgen = AllChem.GetMorganGenerator(radius=2, fpSize=1024)\n", "\n", "X = np.array([fpgen.GetFingerprint(m) for m in molecules])\n", "\n", "# Uncomment the following if you want to investigate what happens \n", "# when the dataset is randomly shuffled\n", "\n", "#random_index = np.random.choice(np.arange(len(df)), \n", "# len(df), replace=False)\n", "#X = X[random_index]\n", "#y = y[random_index]\n", "\n", "test_start = 2000\n", "\n", "X_train = X[:test_start]\n", "y_train = y[:test_start]\n", "X_test = X[test_start:]\n", "y_test = y[test_start:]\n", "\n", "print(f\"X_train: {X_train.shape}\")\n", "print(f\"y_train: {y_train.shape}\")\n", "print(f\"X_test: {X_test.shape}\")\n", "print(f\"y_test: {y_test.shape}\")\n", "\n", "rf = WrapRegressor(RandomForestRegressor(n_jobs=-1))\n", "rf.fit(X_train, y_train)\n", "rf.calibrate(cps=True)\n", "p_values = rf.predict_p(X_test, y_test, online=True)" ] }, { "cell_type": "markdown", "id": "c1f44c39-2780-4fb9-a6ea-996e27751287", "metadata": {}, "source": [ "#### Simple Jumper" ] }, { "cell_type": "code", "execution_count": 20, "id": "eca70e36-b528-49f8-aab8-7c57a5461f20", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "90 : \t SimpleJumper (step)\n", "347 : \t SimpleJumper (epsilon)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper)" ] }, { "cell_type": "markdown", "id": "05b31eb9-1c1e-4885-b860-d5d5848ed533", "metadata": {}, "source": [ "#### Sleeper/Stayer" ] }, { "cell_type": "code", "execution_count": 21, "id": "ffee1002-d564-4d10-bad3-9261aa866746", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "94 : \t SleeperStayer (step)\n", "770 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer)" ] }, { "cell_type": "markdown", "id": "cfffa3a8-c3df-4789-9277-2ad65cecec77", "metadata": {}, "source": [ "#### Sleeper/Drifter" ] }, { "cell_type": "code", "execution_count": 22, "id": "bdee8169-d818-45ea-b95f-825e06d8f18e", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "648 : \t SleeperDrifter (step & drift)\n", "653 : \t SleeperDrifter (step)\n", "770 : \t SleeperDrifter (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter)" ] }, { "cell_type": "markdown", "id": "98ae34e3-f05c-49e7-a061-ac504c26422e", "metadata": {}, "source": [ "#### Composite martingale" ] }, { "cell_type": "code", "execution_count": 23, "id": "97bd328d-b015-4d96-b8c1-3f19909dfa32", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "94 : \t SleeperStayer\n", "95 : \t Composite\n", "347 : \t SimpleJumper\n", "648 : \t SleeperDrifter\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(), SleeperStayer(), SleeperDrifter()]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }