{ "cells": [ { "cell_type": "markdown", "id": "d8a24e7c-2d5b-4a70-84e3-bf7124372753", "metadata": {}, "source": [ "# Using Smart Cruise\n", "\n", "This tutorial demonstrates how to use smart-cruise to find Pareto-optimal trajectories.\n", "\n", "> **Note on Generality**: While this example uses liner-style parameters,\n", "> the underlying model is completely generic. It applies to any vehicle with state-dependent\n", "> energy consumption: UAVs, AUVs (underwater vehicles), ground vehicles, ships, etc.\n", "> See the main documentation for more details on adapting the model to other domains." ] }, { "cell_type": "markdown", "id": "d302093e-b23b-4489-95e8-a061063587e1", "metadata": {}, "source": [ "SC finds the Pareto front of energy/time optimal trajectories.\n", "- Distance, height, and speeds are discrete. Finer granularity leads to better solutions.\n", "- Speed is governed by a backoff parameter that tells when the vehicle can adjust speed.\n", "- Energy (\"weight\") and time budgets are continuous.\n", "- The default cost model is randomized, taking into account position, height, speed, remaining energy, and height change.\n", "- For each internal state (distance, height, speed, backoff), a Pareto front is computed. The front is quantized for a trade-off between computation speed and solution quality." ] }, { "cell_type": "markdown", "id": "359a2d28-f90e-4efe-93d8-ff2f6702c168", "metadata": {}, "source": [ "In this tutorial notebook, we will investigate the impact of Pareto quantization on three scenario, then have a look at the best trajectories for the last scenario." ] }, { "cell_type": "markdown", "id": "87e63913-44a7-45c6-bdd3-0e3b02f86ef3", "metadata": {}, "source": [ "## Preparation" ] }, { "cell_type": "markdown", "id": "8f021d65-7905-4a10-bcf7-d78fff9eac57", "metadata": {}, "source": [ "We will use Joblib to parallelize simulations with various quantization on a given scenario.\n", "\n", ":::note\n", "This tutorial uses `joblib` for parallelization. You can install it with:\n", "```bash\n", "pip install joblib\n", "```\n", ":::\n", "\n", "The following cell chews all the work for us. It computes Pareto-optimal trajectories with various internal front quantizations." ] }, { "cell_type": "code", "execution_count": 1, "id": "dc559660-e9f3-4000-be82-1f50c4d272ca", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:07:12.758229Z", "iopub.status.busy": "2026-02-06T07:07:12.758229Z", "iopub.status.idle": "2026-02-06T07:07:13.850922Z", "shell.execute_reply": "2026-02-06T07:07:13.849913Z", "shell.execute_reply.started": "2026-02-06T07:07:12.758229Z" } }, "outputs": [], "source": [ "from functools import partial\n", "\n", "from joblib import Parallel, delayed\n", "\n", "from smart_cruise import CostRandom, Cruise\n", "\n", "pms = [2**i for i in range(7)][::-1]\n", "n_s = 31\n", "\n", "\n", "def traj_maker(pm, w0, t0):\n", " model = CostRandom(seed=42, n_s=n_s)\n", " cruise = Cruise(model)\n", " cruise.parameters.pareto_max = pm\n", " cruise.compute(w0=w0, t0=t0)\n", " return pm, cruise.trajectories\n", "\n", "\n", "def pms_trajs(w0, t0):\n", " return Parallel(n_jobs=-1)(delayed(partial(traj_maker, w0=w0, t0=t0))(pm) for pm in pms)" ] }, { "cell_type": "markdown", "id": "5cb333d5-d8cd-4bac-967f-031fc825e272", "metadata": {}, "source": [ "## Tight budget" ] }, { "cell_type": "markdown", "id": "41ee301b-7a54-4733-b4f8-95d03a557a36", "metadata": {}, "source": [ "Let us start with a tight scenario (low weight and time budget):" ] }, { "cell_type": "code", "execution_count": 2, "id": "ac7b5833-31f3-4d63-8d44-f806152cb96f", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:07:13.851921Z", "iopub.status.busy": "2026-02-06T07:07:13.850922Z", "iopub.status.idle": "2026-02-06T07:11:36.258747Z", "shell.execute_reply": "2026-02-06T07:11:36.258241Z", "shell.execute_reply.started": "2026-02-06T07:07:13.851921Z" } }, "outputs": [], "source": [ "res = pms_trajs(w0=21800.0, t0=21800.0)" ] }, { "cell_type": "markdown", "id": "7b5f8f64-c0e5-46de-b9c5-a4010efa344b", "metadata": {}, "source": [ "Let's write a function to display the various results:" ] }, { "cell_type": "code", "execution_count": 3, "id": "2da3689d-fb41-4e23-b5a7-0d1849f3aeba", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:11:36.259758Z", "iopub.status.busy": "2026-02-06T07:11:36.259758Z", "iopub.status.idle": "2026-02-06T07:11:36.267838Z", "shell.execute_reply": "2026-02-06T07:11:36.266823Z", "shell.execute_reply.started": "2026-02-06T07:11:36.259758Z" } }, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "\n", "\n", "def show_pareto(res, wmin=0, tmin=0, file=None):\n", " for pm, traj in res:\n", " if traj.trajs is None:\n", " continue\n", " w, t = traj.get_front()\n", " plt.plot(w, t, label=f\"$S={pm}$\")\n", " plt.xlabel(\"Remaining energy\")\n", " plt.ylabel(\"Spare time\")\n", " plt.xlim([wmin, None])\n", " plt.ylim([tmin, None])\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "e068e5e2-6999-4be3-b0a5-3592958fde0c", "metadata": {}, "source": [ "Let's look at the result!" ] }, { "cell_type": "code", "execution_count": 4, "id": "7a694b0a-4bc6-4809-b34f-a225b2ea21c9", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:11:36.268851Z", "iopub.status.busy": "2026-02-06T07:11:36.267838Z", "iopub.status.idle": "2026-02-06T07:11:36.559238Z", "shell.execute_reply": "2026-02-06T07:11:36.558232Z", "shell.execute_reply.started": "2026-02-06T07:11:36.268851Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_pareto(res)" ] }, { "cell_type": "markdown", "id": "9528a9a9-66ed-44d8-abad-64c0cb199d44", "metadata": {}, "source": [ "- The scenario is so tight that only a few bad decisions make it impossible to find a viable path.\n", "- In other words: if the sampling size $S$ is too low we cannot find solutions.\n", "- For intermediate values of $S$, monotonicity is not guaranteed (there is a _chance_ factor).\n", "- Starting from 16, we have solutions. Their quality increases with the number of samples kept." ] }, { "cell_type": "markdown", "id": "e2cdac1a-955c-4773-ba05-5ec1e2801b53", "metadata": {}, "source": [ "## Bigger budget" ] }, { "cell_type": "markdown", "id": "5dffb21d-33aa-4547-9693-591bfb7fd935", "metadata": {}, "source": [ "Now look at a scenario with overkill budget:" ] }, { "cell_type": "code", "execution_count": 5, "id": "c8a611eb-c5d7-4692-acf8-5e9637121d7b", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:11:36.560240Z", "iopub.status.busy": "2026-02-06T07:11:36.559238Z", "iopub.status.idle": "2026-02-06T07:15:52.894398Z", "shell.execute_reply": "2026-02-06T07:15:52.893892Z", "shell.execute_reply.started": "2026-02-06T07:11:36.560240Z" } }, "outputs": [], "source": [ "res = pms_trajs(w0=32000.0, t0=32000.0)" ] }, { "cell_type": "markdown", "id": "36f15423-c248-4798-a6e1-dd5285b26a87", "metadata": {}, "source": [ "Let's look at the result!" ] }, { "cell_type": "code", "execution_count": 6, "id": "b2f0e9b3-7209-428f-be8a-d1e66f4309ff", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:15:52.895408Z", "iopub.status.busy": "2026-02-06T07:15:52.895408Z", "iopub.status.idle": "2026-02-06T07:15:53.074075Z", "shell.execute_reply": "2026-02-06T07:15:53.073067Z", "shell.execute_reply.started": "2026-02-06T07:15:52.895408Z" } }, "outputs": [ { "data": { "image/png": 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W1tY8qGIzTekJDQ3lmaqLFy/yNknaCqh0viid6C8jUzM0HzUJNw/sxtVdW/Dk/CmEvH2DxsPGwtI+J0yrVIZJhfIIX78BYStXwjk4AVO2aeJ7PzsBGndzRD61AONCjqOP8RG8SPTCxfhOUCRb861tHp4LQIFyOVGyjiuscqb/VwkhhOg0ltOQa6ltjMSYddX+7sNZ70YWmLCyHDc3t28e6+3tzS/fwjJKrEn317BSHzZ7xBpvf6ummQVCKYGXNlGGKoNQhurb/B7dx7El85AYGwMDExPU7z8ceTzLpt6vCA3Fh7HjkHD7NtTJyfy28V1ECLABlCJgsNAKHd89gkgN3EuuhtNx3WCmsPj3XzHgXsIWpeu7wdZVk8UihBBd9EWmRBYPeGtqfrPcuA+sluK7D2fbwDVv3pxP83l6eqJmzZp8j122Y8nnWDkOu3wLC8pY78jPsXosFkCxz4qV72zbtu2rJThsERrbko4tULty5cpXX4um/PQIBVTf8RmFheLIotn4+EpTPFiueRtUbNMRQmHaLWhe160L+Tv/NLfJxMCTfFLUyaOAjXEg/6OqSdxKuCfZIK/iv8e7FrbmgZWDh6abPiGE6BJ9DqhSskYscDl16hTPHrH3wvbabdy4cYadFlt4xrJgLPO0Z88erF27lk/npRe49e3blxets3Nydnb+6nNSQKVHKKD6PkqFHBc3r8f9E4f52LVIcTQcNBLGFv8FQNEHDyLYexaU/6ZxP2dkr4Z98TAYWcsRJHHB3thq8I2vCze5MYQsXQXAMa8lSjegXlaEEN3yxS92PZry+xxbjc+yTKxuafv27Rk+5ZeCbQ2XJ08erFq1Ks3tbEHawYMHeWukry1iS0EBlR6hgOrHPL96EadWLYEiORmm1jnQeOgYOOYrmOYYtVIJtVwOtUKBC9e34+3yhaj0/L81FEY2MtgUjoWpQzKUEGKvrD4uxnVCfpkBRP8GVtYupijf2B1uRXNQk1BCiNbpc1F6envaOjk58fZES5YsybApv8/VqFGDB14bN27kY7aoia3W379/P+8WwFYE/j8UUOkRCqh+XFjAO95aIfJDIN/GpmrnnihZr/FXA5/9r/Zj9cGJaHlVlSawMvUwhl1ePxhYKBAitMU/iY3gE18XhWVSSP4NrHI4mcCzvhvylLKDUPjzf5ERQkh2DKg6d+7Mp9xYcMN6T7GVfiwDxXpHsj6Q7u7uGbatW/369XkAFRsby+un5syZg5MnT6J27dr8GNaigd3OslOsSXcKtlLPyMgo3eelgEqPUED1c2SJCTi5ail8rl/m4/wVqqBOn0GQGqb/n+JS4CWMvDgSlsHxqP9AiFp3FBD920ldmV+NfPlCIDVRIsbIBXOiGiEgoTpKJosh/TewMrI2QIVG7shXzh4ikU5vFEAI+Q3pa0C1cOFCXs/k4+PDm3K7uLjwhp5jxoz5Zu3Sj2KtEdjOJR8/fuQBEmvyyfpGpgRTzNf+6N6wYQO6deuW7n0UUOkRCqh+Hkvf3j9+CBe3rIdKqYS1kwuaDBuHHM4u6R7vH+OP0ZdG40n4EziFqdH5rAqlfDVBlVwMRJVToYJLEFjrz5cGRTAxqi3EyflRKlkMI7XmP6KxlQFK182FgpUcIJakLYonhJDMoq8Blb5Losae+oMCql/3/sUzvgowLjKCb2PDMlUFKqbfpE2lVuFFxAu8i3nHLzH37sBj+3UU9Ffx++8UFOGGlxxN5NGonZCIpxbVsdqwD4J9BCidJIbJv4GVyFiMcvVzoXAVJ0gNqS0bISRzUUClHRRQ6REKqDJGfFQkji6Zh4Cnj/i4VP0m8OrUHSLx/99qJiguCDf+Gg2PXbcgUgHRxsDaukLE5FagR3QM6grM8aTiYgy+LIVFkAxlk8QwV2um/cRGIp6xKlrNmQIrQkimoYBKOyig0iMUUGUcNu3HOqvfOrCbjx3yFUDjIWNglsPm+74Xj+4jcMxoCHwD+PhaQQHW1RHCWSTHgMgoVGm5HcG2FbHw5Ev43AqCZ4IIVipNYCUy1ARWxapTYEUIyXgUUGkHBVR6hAKqjPf6zk2c+HsBkhPiYWRuwftV5Spa4rseq5LJELZ8OcLXrGWd6BBjLMCaugLcLCBEhWQFRtVaijyuVRGaoMSCky/x+PpHlE8Sw/qTwKpMPcpYEUIyFgVU2kEBlR6hgCpzRAV9xKEF3gh99xYCgRCV2nZC2aatIPjOjTkTHz/Bx3FjkfzqNR9fLyjA2jpCxBoL4ChXYH1kApykVkiUWOJdohFuBhVHcHxVmKg0my5LjMUoVdsVxdhUoBHVWBFCfg0FVNpBAZUeoYAq88hlyTi7bgWeXjjDx+6lyvC9AA1NTb8/W/X3coSv1WSr4o2BFfWEuJVfiCoJifgrJAzGrFtxyuupxVgUPxzJCWVgpdKsAJQai1GSAitCyC+igEo7KKDSIxRQZb7H507h7PoVUMrlsLCzR+Nh42CfO893P/7zbNXVggKsryMEzE0wya0Z6hg6QvjiCPDqFL8/RG2NzfG9IE8oBTOV9L8aqzr/1lhRxooQ8oMooNIOCqj0CAVUWSPY9zUOL5yF6JBgiCQS1OzRF0Vr1Pnux3+erYoxEWBVXQFu5xcit0VuFLDKD+fYUFTzvY1iEYGax6iF2J3QFa/jG8BSpZn2kxiJUKo2BVaEkB9DAZV2UEClRyigyjpJcXE4/vd8+N67zcdFqtdGjR59IJFq6p6+N1v1YewYyF6/4eNrhUVYWwuIM9b0pxILRFiQqzmqv70N9btrEKiViBVaYnVMbyTyqUBNYCU2FMGzjiuKVXehjBUh5P///KLGnlpBAZUeoYAqa6lVKtw6uAdXd26BWq2CrZs7765uaZ/zx7JVy/7WZKtUKigtTfGmV20ccw3HtQ/XIBFK8HfNv1EBhsDeXkD4K/64eBhjc9wfCE+okpqx4jVWtVxRrAa1WyCEfB0FVL9vQEWbmRG9xFb5lWveBi3HTYORmTlC/XyxZcxgvLl787ufQyiVwm7YULjt3AGpRx6IouKQb95+TDxhigbWVSBXyTH4/GDcZzFT7/NAg78Au8IwQQL6mC7BUNvOUJldQrhQCVmCAjcP+WLzhOt4cMYfCpkyU98/IYRoQ2BgIPr06QMPDw8emLCNktmefo8fP86Q57906RIaN24MR0dHvmffgQMH0j3u/fv36NSpE3LkyME3RC5atCju3LkDbaKAiui1XMVKoPOcJbz5J+tXdWDudFze/g9vDvq9jIoWRe69e5GjVy9AKETs0WPoOfsROoflR6IiEYPODUKQIh4o2wvoexXosBtw8oSxIAkDTRaig/0I3DIORqRQhaQ4Oa7uec0Dq8cXAqFUaLbCIYQQfefn54eSJUsiPDwcmzdvxosXL/iGyYUKFYKBwfeXXHxLfHw8ihcvjr///vurx0RGRqJSpUqQSCQ4fvw4nj17hvnz58PKygraJFCznWnJL6MpP+1SKuR8c+X7xw/zsWuRYmg4aBSMLSx/6HkSHz3Ch7HjIHujqa16VNICi7ziUKlQPbTI2wKOJo5wMHWAgVAKPNkL7O2Z+tgYlTFeJlXDg7hWkKk0/7FNrAxQrnFu5C+XE0IR/f1CSHanz1N+w4cPx969e+Hr6wvhd/YC/BUsQ7V//340a9Ysze1jxozB1atXcfny5e9+Lqqh0iMUUOmGF1cv4tSqpZAnJ8HUyhqNho6FU/6CP/QcquRkhC1bhvB163ltVZQJsLqeEHfy/fcDpIB1AfxZ7E/UFFpCcGQIEPxfulupFuNZQm1ci28PhcqM32ZqY4iKTfPAw9MOAqGm8J0Qkv18/oud5TRYJlwbjMRGPGj5Xj169MCxY8dw48YNuLm5ffNYb29vfvkWlllydXX94YCKZcTq1q3Lpx8vXrwIJycn9OvXD73YLMNXUEClRyig0h3hgf44NN8bER8CIRSJULVzT5Ss1/iHfnAwiQ8farJVvr58fL+EGdbUUiNMkpR6TC7zXGjgVh9/5G4CqUoOyOKRfGczRPc2Qq1U40lCfVyLawuojfjxlg7GqNA0D3IXt/nh8yGE6L/Pf7EnyBNQbls5rZzLzQ43YSwx/u7j7927h+bNmyMgIACenp6oWbMmunTpwgOcz0VERPDLt7CgTCwW/3BAlZLZGzZsGFq3bo3bt29j8ODBWLlyJbp27Zruc1FApUcooNItssQEnql6eV2TEs5XoQrq/jkQUqPv/+GRmq1auhTh6zfwbJXIxgYm44djX84AbH62OfUvSydTJwwsORD1c9eHUCAEPj6C8uhwiAJvQaYyxLX41niU0BgitYQfb+lsgirNPeBSyJoCK0KyEX0OqBilUokrV67g1KlT2L17N38v+/bt44XkGe1rAZVUKkXp0qVx7dq11NsGDRrEA6vr16+n+1wUUOkRCqh0D0ul3z9xGBc3r+NF6taOzmgyfBxyOH89xfy92SrzJo1hOnIw9gafxJZnWxCaGMpvL2hdEJMqTEIRmyKaB74+CxwfBYS/RpLKFBfiOsAnoQ5E0GxpY+dujkrN88Axr3aLKQkhWUOfp/w+J5fLeZbJy8sL27dvz7Ipv1y5cqF27dpYy1re/GvFihWYMWMGX/2XHgqo9AgFVLrr/cvnOLJwFuIiIyAxMESdPweiQKWqP/w8LFsVumQJIjZs1GSrbG3gMHUaxF7leVC17sk6xMvj+bHVXKphSKkhyGOZB5AnAlcWQn1nAwTxIUhQWuBSPAusakH070Jbl4JWKNckD+xz/3wPFEKI7tPnovTPJScn8/qlDh06YMmSJVk25cdej007flqUPnToUNy8eTNN1upTFFDpEQqodFtCdBSOLpkL/yeP+JjVVFXt3AMisWYK7kckPnigyVa9fcvHFk2bwH7cOERIZOhxsgf8YvxSjx1UchB6FOkBkVAEJMUAF+cA15fx++KU1tgVOwhxScUgguavxDwlbVGuqTuscppk0DsnhOgSfQ2oOnfuzGulatSowXtPsZV+LAP14MED3Lp1C+7u7hnyOnFxcXj9WrPfKmvRsGDBAlSvXh3W1tap2Sw2tVexYkVMnToVbdq04a/PCtJXr16Njh07pvu8FFDpEQqodJ9KpcS1XVtxc/8uPnbImx+Nh46FWQ6bH3+upCSELl2amq0S29oi59SpMKpWBQdeH8Cul7vwPOI5P7aqc1UsqLYAUpFmg2X4nAIuzQUCNVvnxCjssC12GBTJ+SBggZUAKFTJEWUa5oapVcb0diGE6AZ9DagWLlzIe075+PjwoMfFxYU39GQtDJydnTPsdS5cuMADqM+xYvONGzemjo8cOYKxY8fi1atX/LNkBeq0yu83QQGV/mDd1I8vW8AbgbIu66xfFWsQ+jMS7t/HR5at8tNkpSyaNoX9uLEQmpvzwGrStUn8drbx8uraq5HT5JOtcd5eAra3B2RxfBgud8Wx2D6IkWnaPIgkQhSv4YJSdV1hYPzjmTRCiO7R14BK3yVlwdYz1Ngzg1BApV+igoNwaIE337IGAgEqtemEcs1a8y1tfipbtYRlqzawSniI7eyQc9pUmFWrhjPvzmDi1YmIk8fx3lU7G+3UrAJMkRABPNwBvDwG+GnqAT7ICuJkzJ9IUORK3SfQs14uFKvmDLFUU8xOCNFPFFBpBwVUeoQCKv0jlyXj3PpVeHL+FB+7lyqD+v2Hw9DUNEOzVa+VQWh3tB0UKgV6Fe3F2yuku7Im6AnUl+ZC/ewwBGoV/JLL4HxsDyQqNVktY0spyjV2R4Hy1HWdEH1FAZV2UEClRyig0l+Pz53C2fUroJTLYW5rjybDxsLe3eOnnotnqxYvQQSb6/8kW7XZ8hlWPFzBjymbsyz+qvoXrAy/0ioh0g/qGyugurUOApUSLxOr4nJcF8hVmm10LOyNUbE5NQclRB9RQKUdFFDpEQqo9Fvw2zc4vHAWooODIJJIULNHXxStUeenny/h3n18HPdJtqp5c9xoXRDTnyyAQq2AlYEVdjfeDXsT+68/ScRbqK8tg+reP1Arwbuu34hrC6Va04jPzs0clVpSDytC9AkFVNpBAZUeoYBK/yXFxeH48gXwvXuLjwtXq4WaPftCIjX4+WzVosWI+Oef1GxV5JD2GCHbhsjkSLiZu2FAyQHwsPSAq7krJMKvFJ5HB0J9aT7UdzdCrjLE/fjmuBvP+rJo+re4FrFGhWYesHH+ualKQkjWoYBKOyig0iMUUP0e1CoVbh3cg6s7t0CtVsE2V240GTYOljkdfvo5E+7d09RWvXvHx5LGdTG82BP4qoJTjxELxTzAYsEVawaa8tXFzIXfx0X5Q72uDgSxHxGvtMLtuDZ4msiyaJoi9/zlcqJsk9wwz6HZN5AQonsooNIOCqj0CAVUv5d3jx/g6JJ5SIyJhoGxCer1HwaP0j+/35YqMVGTrdq0iWerBHY2uNSxMC46x+J11GskKBLSfZxUKOUtF4raFkU9t3oobVsSoht/A2em8PujFA44F9sDH5NL87FAJEDx6s7wrO8GQxNqtUCIrqGASjsooNIjFFD9fmIjwnB44Wx89HnBx2WbtkKltp0hFP1864KEu3fxYdw4yN/587FFixawGz0KIaJ4Hli9iXrDv7KLb5QvkpRJaR7PMlbdCndDUxtPGDzZC+WVJRDJY/FBlhdHYgdALtd0EpYYilC6gRuKVXeGWEKtFgjRFRRQaQcFVHqEAqrfk1Ihx6UtG3Dv+CE+dilcDA0HjYSJpdUvZqsWIWLTZk1tlb09HKZPg6mXV9rj1Cq8j3uPV5GvcCnwEk69O4VYWWxq5mpkmZFoY1cOwiNDAN8L7KngLyuF0zG9kazUFLubWBmgfFN35CubE0Lhz2+CSgjJGBRQaQcFVHqEAqrf24trl3Bq5RLIk5NgamWNRkPGwKlAoV96zi+yVS1bwH7MGIjMzNI/Xp6A/a/3Y/mD5YiRxfDbWN3V1IpTUSr4DdSHB0Mgj4dKLcTTxBq4ENcdQpVmRaC1owkqtvSAayHrX9pdnhDyayig+n0Dqh9vC01INlSgohc6ei+EtZML4iIjsGvaWNw9ehBqlhb6ScaennA/cADWXbvwbu3Re/fBt3ETxF2+kv7xEmN0LNgRe5vsRe1ctWEsNuYbMXc90RUjI28hYehjoO81CPJ4oajxGfS17Y7SplshFCQh4kM8jix9iEOLHiDknSYYI4SQHxUYGIg+ffrAw8ODByZso2S2p9/jx48z5MNUKpWYOHEiD3yMjIyQJ08eTJ8+/Zd+1mYVCqgI+U45nF3Q0XsB8lf0gkqpxIVNa3Bk0RzIEhN+/j+gkRHsx45Frs2bIMnlCkVQEAJ69cKHCROgjNVM732O7QfINls+0fIE8lrl5bed8DuBSntqYnXwVSja7QCarYQghyvKme5Bd9veKG58EIACgS8jsXvWHZxa9xQxYYn0vSeEfDc/Pz+ULFkS4eHh2Lx5M168eME3TC5UqBAMDDJmI/c5c+ZgxYoVWLZsGZ4/f87Hc+fOxdKlS3X+O0V7+WUQmvLLPthfSvdPHMHFzWt5YGXl6My7q9u4aPbe+5XaqpCFCxG5eYumtipnTjhMnw7TKpW/+hiZUoZNzzZh/ZP1qfVV+a3yY3Wd1bCWWgLBT6A6NhLCgBuIUdjiSlwXvE3SPJ9AKOD7A3o2yAUjU+kvnTsh5Pef8hs+fDj27t0LX19fCH9i39Pv0ahRI571WrduXeptLVu25NmqLVu24GfRlB8hOojVIJWq3xhtp8yGqXUORH4IxNbxw/D86sVfel6Wrco5bhxybfoHEtf/slUfJ078arZKKpLij6J/4Gq7qxhRegS/7WXkS9TcVRP73hwAHIpB2OME0O0ojG0t0MByPtrkGA4zySuoVWo8PBeATeOv4+4JP8hlyl86f0LIz/2BpkpI0MrlR6fRIiMjeWDi76+p+/wWb29vmJqafvOS3vNUrFgRZ8+ehY+PDx8/fPgQV65cQf369aHrKEOVQShDlT0lREfxflX+Tx7ycYm6jVCtS0+IxL/WA4r9sAtZuAiRmzfzMc9WzZgB08qVvvm4vT57sfDeQkQnR/Nx2/xtMa7cOAgFQkApBy7MgvryAgighl9SCRyOHQih0pofa2plgBpdCsKloGZMCMl4n2dK2P/1l6U8tfJR5793F0JjzcKV73Hv3j00b94cAQEB8PT0RM2aNdGlSxc+5fe5iIgIfvkWNzc3iMX/Ni7+l0qlwrhx4/g0n0gk4jVVM2fOxNixY/EraJWfHqGAKvtSqZS4tmsbbu7fyccOefPzVYDmNra//NwJt2/jw7jxkAcE8LFl61awGz0aItOvbzOjVCmx5P4SPg3IsDqr1bVXw8bIRnNAyAvg8l/A491QqwU4ntgWj2NbwlSt+cFWxMsJnvVzwdRKv6YjCNEH+hxQMSzAYRmjU6dOYffu3fy97Nu3D40bN86Qc9qxYwdGjhyJefPmoXDhwnjw4AGGDBmCBQsWoGvXrj/9vBRQ6REKqMibu7dw/O/5SI6Ph5GZORoOGoVcxUr88gfDs1ULFiLy3/oBsYODprbq/2SrdvvsxrTr0/j1XOa5sKHuBtgafxLkXV0CnJ7Ir0aoLLEmejJMk934WCgSoEBFB97DiuqrCMk4n/9iZ9Nu6kTtLBARGBn9UhsVuVzOs0xeXl7Yvn37F1N+7PItz549g6urphlxChcXF4wZMwb9+/dPvW3GjBm8fooVwetyQJU210YI+Wl5PMui8+zFODR/FkL83mCP90RUat0R5Zq3geAXCjjZX5A5J4yHWZ3a+Dh+As9WBfzxByxbt+Zd1r+WrWqdrzWK2xZH9xPd8S7mHRrub4g5Veagumt1zQGVBgG5vYCjw2D9/i5GWw3Fw+SKOBPbA4aKHHh2+QPe3AtBpZZ5UaBCTupfRUgmYAGN4AezRLqCTc8lJyfD1vbLbDxrrdCmTZtvPt7R0fGL2xISEr4oeGdTf+y1dB3VUGUQylCRFAqZDOc2rMTjc6f4OHfJ0qg/YDiMTNNv2PnD2ar5CxC5dSsfix3/zVZV+nq26mHoQ3Q61olfr+xUGStqrfjsSZXAjRVQX10MQXwIv+lsUh3cjO0BC6VmKXQOJxM0HVqSslWEZNNVfp07d+a1UjVq1OCr8NhKP5aBYlNyt27dgru7e4a8Trdu3XDmzBmsWrWKT/ndv38fvXv3Ro8ePXgLhZ9FU356hAIq8rkn50/j7LoVUMhlMLe1560V7N09MuSDir95Cx/Hj4c8MJCPLdu0gd2okV/NVj0KfYSOxzry6+0LtMeQUkN4o9A0FMnAzZVQX5gNgTwBSrUIJ+O64m28pjbCPKcxmg0qATNr/fklQIiu0deAauHChbznFFt9FxcXx6fmWENPNj3n7OycYa8TGxvLG3vu378fISEhPIvVvn17TJo0CVLpz7d3oYBKj1BARdIT4ueLQwu8ER0cBJFEghrd/0TRGnUzZPpMFR+vyVZt25aarXKcMQMmFSumezwrUl94d2HqJsuzqsziU4JfiAoADvYH3mraQLxNKoNjUeP4daG5BO0nlIWlecY08SMku9HXgErfJWVBDRVN+WUQCqjI1yTFx+H43wvge/cWHxeuWgs1e/aBxCBjfpjG37iJjxMm/JetatsWdiNZtsrki2Ovvr+KydcmIzghmG9dw6b/StqV/DLAY/1povyB+1ugvLESATF5cTp6KGRqE8SJZLCq54ZejfJTXRUhP4gCKu2ggEqPUEBFvkWtUuHWob24umMz1GoVbHPlRuNhY2GV88uizMzOVrGO6kPOD8GtIE2AZ21ozTNVfYr3QaEc6Wz4nBQN2fl5CLtyFicjhyNBxfpUKXArB9C9SwlUy29H33xCvhMFVNpBAZUeoYCKfA//J49wdMlc3hBUamSM+v2HwaNM+Qz78Hi2itVWvX/Px5bt2sJuxJfZqjhZHCZcnYCLgRehUCn4bWKhGINLDkaXwl00jUA/F/oSsYdm4PzDkgiQadpB+EgSYVMzF4Y3KABjKS0aJuT/oYBKOyig0iMUUJHvFRsRhiML5+CDz3M+LtO0FSq37QyhSJSB2ar5iNym6QsjcXSEg/dMmJT/MnBLVibjRcQLbHiyAWf9z/LbyjuUx8zKM2FnnE7mifXMeXoQdzYdx+2YVlBDBLkoFqfszdC5ngfalXGhaUBCvoECKu2ggEqPUEBFfoRSocClrRtw79hBPnYpVBQNB4+CiaVVhn2Q8TduaPpW/Z9sFcOaC+55tQdzb81FkjIJlgaWmFZx2n89qz737hrerxqBU1HD/p0ClOOkkRLvLMUY16AA2pZJ26yPEKJBAZV20ObIhPymRGIxqnfthUZDRkNiaISAZ4+xecxgBL54mmGvwTJSuQ8ehGX7dnwctWMn3jZtygOtz7GidNYIdGfjnShgXQBRyVEYdH4QZtyYgSRF0pdPnqsinEZsQduSO+Eivc/yYKibaIg24aGYvOc+Bm2/j/C45Ax7L4QQout+vn0zIeSX5a9QBR29FyCHsyviIyOwa+pY3D164Id3gf8alo1ymDwZrhs38Kk/lq3y79YdQdOm8anBz7lbuGNrg63oWkizZ9bOlzvR7kg7vIx4+eWTW7vDuNduNG4ch3IWuyGAEpYyB4yNi4PB/aMoN+MEZh1/DrlS9zscE0KIXgdUly5d4hsqssZd7C/kAwcOpLmf/VJhzbwcHBxgZGSEWrVq4dWrV2mOYbtZd+zYkfeOsLS0RM+ePXnTsU89evQIVapU4b0nWDMytov159gmjwUKFODHFC1aFMeOHcukd01IWjmcXNBh5nwUqFSVrwa8sGktjiycjeSEhIzNVh06xKf9GFZf5duEZatufnGsVCTFiDIjsKrWKuQwzIE30W/Q4WgHbH2+Nd1AT1B7MkpPnY1mXo9gIgxHnNIBHjGeWKM8iEeXDqPCrHO48iqMvu2EkN+aVgOq+Ph4FC9eHH///Xe697PAZ8mSJVi5ciVu3rwJExMT1K1bl8+FpmDB1NOnT3H69GkcOXKEB2msTf2ntU2sm2uuXLlw9+5dvoP1lClTsHr16tRjrl27xjuxsmCMtblv1qwZvzx58iSTPwFCNKSGRmgwcARv/CkUieFz8yq2jh+GsIB3GfYR8WzVlClw3bD+k2xVt69mqyo6VcTeJnvh5ewFmUqG2bdmo9/ZfghPDP/yyQ0t4NhhONpMrAAXu3AoYIBnsZ3QMzEW45OWYNi6E+i/9R4CIjIuSCSEEF2iM409WYaKtZpngQzDTotlroYPH44RI0bw21gXU7aH0MaNG9GuXTs8f/6c7y10+/ZtlC5dmh9z4sQJNGjQAIGBgfzxK1aswPjx4xEUFJTatp61ymfZsJSdq9u2bcuDOxaQpShfvjxKlCjBg7n0sA0h2eXTwI1lv3610yohH3xe4PCi2YgLD4PYwAB1eg1AwSpfKQ7/Scq4eITMm4eonTv5WOLsDIeZM2FSruwXx7L/izte7sBft//igRXrW8VWAbJ9AdOjVqlx98gL3Dr2HmoIYSUKRF3LeZiNetitrIquFdwwvG5+mBtK6JtNsh0qSteObF2Uzt44C4LYNF8K9obLlSuH69ev8zH7yqb5UoIphh3PdqpmGa2UY7y8vNLsAcSyXC9fvkRkZGTqMZ++TsoxKa+TnlmzZvHzSbmwYIqQjOCYrwA6z14M16IloEhOxrFl83F2PdsTUJ6x2aqpU+C6fh1vAsq6rPt37YqgadO/yFaxP3bY/n87Gu2Ah6UHIpIi0PdMX8y5NYe3XficQChA6SYF0WyYJ0xMVIhUOmNP+Fx0l7/BDsl0nLx+D7XmX8SRRx8yrFaMEJI1WLKiT58+8PDw4IEJS3KwWaDHjx9n+GvNnj2b//wZMmQI9IHOBlQsmGLYN+tTbJxyH/tqZ5e2V45YLIa1tXWaY9J7jk9f42vHpNyfnrFjx/JoNuUSEBDwC++WkLSMzS3QctxUlG+hqXl6cPIodk0Zg5iw0Az9qFgndfdDh/l2NQzrtO7btBnffPlzea3yYnvD7Ty4YrY838Jrq95EvUn3uR3zWaHtFC+4FrLiU4DnYwYgLrYODkunIX/8bQzYdh/jDzxBskJJ335C9ICfnx9KliyJ8PBwbN68mc/ysA2T2UyRgUHG7u/JZp5WrVqFYsWKQV/obECl69g/HpYa/PRCSEYSCkWo1LYzmo+eDEMTU3x8/ZK3VvB7eC9DXyclW+Wybi3EDp9kq6bPgOqzwnhDsSHGlRuHZTWWwcrACj6RPmh7pC12vdyVbrbJyEyKRgNKoHwzd7DtAl8mVcfp8EmYL9yJasIH2HbTH02XXcV9f022mBCiu5YuXcprmXfu3IkKFSrAzc2NL/hatGgR8uXLl2GvwxaWsfroNWvWwMoq43rzZduAKmfOnPxrcHBwmtvZOOU+9jUkJCTN/QqFgq/8+/SY9J7j09f42jEp9xOiTe6lyqDT7EWwy50HSbEx2DtrMq7v3c5XBGYk00qV4H74ECzbtOHjyK1bNdmqW19mq6q6VMW+pvtQ0bEin/abfmM6Bp8fjMikyHSnAD3ruaHZsFIwsZDyKcD9YbMwSnEXhyTjUC50D1qsuIohO+4jIl6Woe+JEF3H/hCRJyu1cvnRKXdWJsNqkfz9/f/vsd7e3jA1Nf3m5WvP079/fzRs2PCLUhxdp7Obb7HCMRbQnD17lheHpxSOsdqovn378jGLkKOiovjqPU9PT37buXPnoFKpeK1VyjGsKF0ul0Mi0RTBshWB+fPnT4182THsdT6dp2XHsNsJ0QUWdjnRfto8nNu4Co/PnsS1XVvx0ecF6g8YDiOzjMuOikxN4TBtKszq1sHHCRMhDwiAf5eusOrUCXbDhkJobJx6rI2RDVbUWoEtz7Zg4b2FOB9wHk8OPYF3FW++fc3nHPNaou2Esjiz/gn8n0fxKcD8hucx3nw1Boj3Y8yjXqj6IgSDa+ZFlwpukIp19u89QjKMQqbC6sEXtfKJ9l5cFRKD79/yasCAAfx3pbu7O/+dW7NmTXTp0oVP+X2O1Vm1+fePs69hC8c+t2PHDty7d49P+ekbrf7EYmm9Bw8e8EtKITq7zqLWlEK0GTNm4NChQ7zgjX3j2DcgZSVgwYIFUa9ePfTq1Qu3bt3C1atX+TecrQBM+UZ16NCBF6SzlgisvQJLVS5evBjDhg1LPY/Bgwfz1YHz58/nc8KsrcKdO3f4cxGiK8RSKer0Hoi6fYdALJHi7YO72DJ2CILepO3NlqHZqtat+ThyyxaerUr47Icc20SZbaa8rcE25LbIjdDEUPQ+1RsL7iyAXClPfwpwYEmUb5obbP9lNgW4J3wehApLrJPOx9/K6Th+7ADqLLyIu+9oGpAQXVKqVCn4+vri/PnzvBB93759vPXR4cOHvziW1TKzwvVvXVjN86dYLTL7fbx169YvVuLpBbUWnT9/nuUbv7h07dqV369SqdQTJ05U29vbqw0MDNQ1a9ZUv3z5Ms1zhIeHq9u3b682NTVVm5ubq7t3766OjY1Nc8zDhw/VlStX5s/h5OSknj179hfnsmvXLnW+fPnUUqlUXbhwYfXRo0d/6L1ER0fzc2dfCclswW/fqNcO/EP9V5uG6oUdmqofnj7O/79khtjLV9Q+1aqrn+UvwC8fZ8xUK+PjvzguQZ6gnnptqrrIxiL80uZwG/XbqLdffd73PpHqDaOvqJf9eVa9ou9J9ZNRLdWqSeZq9WRz9b4J9dUlRm9TzzjyVJ0kV2TK+yJEGxITE9XPnj3jXxn2/1aWpNDK5Vd/ZshkMrWjo6O6Xbt2X9w3c+ZMtYmJyTcv7969S/OY/fv389+jIpEo9cLGAoGAX1coFBn2uWfG72+d6UOl72hzZJLVkuLjcGL5Qry5o2kRUrhqTdTs2RcSg4z/y04ZG4uQuXMRtXsPH0tcXeE4cwaMy5T54tiz785i8vXJiE6OhpHYCGPLjkUzj2Y86/y5xFgZzmx8Bv+nEXycz/ACqpqvglSYhCi1CabIu+KctCoWtyuF6gXSruglRB/9Tn2oWC9GJycnPhO0ZMmSNPexWmZ2+RZW1P5plio2Nhbv3qVtZty9e3e+i8no0aNRpEgRne5DRQFVBqGAimgDK0y/fXgfrmzfBLVaBVtXNzQeNhZWDk6Z8npxl6/g48SJULCWIgKBprZq6JA0tVVMcHwwxl0Zh1tBmoL22rlqY3KFybAwsEjnPahx79Q73Dz0ll+3NEtEXcu/YCPXrGY8oyyJ5YqmMHSvgJnNiyK3jUmmvDdCsoK+BlSdO3fmtVI1atTgbYXY1B8rPGdlOqzkxt3dPVNet1q1aryOmq0k/BXZurEnIeT/EwiFKNu0FVpNmAFjC0uE+vthy9iheHX7601pf4Vplcq8tsqiVUtWL4DIzZvh26w5Eu7cSXOcvYk9VtdejSGlhkAsEOP0u9NodbgV7gTd+cYqwJIwsTRAVKwR9gRNwjOXBVCpBagluo99BlPQ0n86mv51BGsu+UKlosQ6IVldP8V2E2nUqBGvX2ZF5yxzxAKqzAqm9A1lqDIIZaiItsVFhOPwojn48PIZH5dp0hKV23WBUCTKnNe7fBkfJ076L1vVmWWrhkJoZJTmuCdhTzD60mj4x/pDAAF6FeuFPsX7QCL8cuuZxDgZzmz4ZAqwmAGqmq+E9PUhPn6rsscqZWP4u7bA1GbFkNfeLFPeGyGZRV8zVPouiab89AcFVEQXKBUKXN62AXePHuRj50JF0GjwaJhYZk5zPFZbFTx7NqL37uNjSS5XOHp7w/jfNiYpEuQJmHVrFg68PsDHxWyKYbbXbLiYfbllE5v2u3/aHzcO+mqmAO2NUa9WGKyvDYAgUbPy77XKEcOVA1DI0wtDauWFvTn9YiL6gQIq7aCASo9QQEV0ic+NKzixYjHkSYkwsbJGo8Gj4Fzw5ws6/5+4S5c02SrWIFcggHWXzrAdMuSLbNWJtycw7fo0xMpjYSIxwfhy49E4T+N0n/PD6yicWvsU8VHJEEmE8GrmgILYA/WN5RDK4/gxvWTDcNuwAu9d1b1S7kx7f4RkFAqotINqqAghPyVf+croNGshcji7Ij4yArumjcOdI/szbTNiUy8vTW1Vixa8tirin014y2qr7qXdJqde7nrY02QPStmVQrw8nheus+nAWFnsF8/p6MEagZaBa+EcUMpVOL/7Pc68awZFnzuAbQF+zBrpAtRIOouph5+h24ZbCIhIu1UOIYRkFaqhyiCUoSK6SJaUiNOrl+HFVU0n5rzlKqJunyEw+GxVXkaKu3gRHydN/iRb1QW2QwanyVYpVAqsfbwWKx+uhFKthJOpE2ZXmY0SdppdEf7fFGDdjo6w2VY09ZjrqkL4UzYEKgNLDKzhgd5e7um2aSBE2yhDpR005adHKKAiuoplpR6eOobz/6yBSqngLRWaDBsLG1e3THtNZUwMgmfPQfQ+TW2VNFcuOMzyhnGpUmmOexDyAGMuj8H7uPcQCUS8WL1X0V4QCUX/fwqwoSUKvh8DQYBmRWMypJgrb411ygYo65YDU5oURiFH2rSc6BYKqLSDAio9QgEV0XUfX73EoYWzEBceBrGBAer0GoCCVapn6mvybBWrrWKbmLNsVdeummzVJ6ub2HTfjBszcOztMT5m04GzqsyCo6ljuqsAz258jndPwvk4bxk7VCv1GtIzI4F4zUbpV5WF8VadE/MUbeHo4Ih/epSBnRkVrRPdQAGVdlBApUcooCL6ICEmGseW/oV3j+7zcfHaDVCtay+I/904PNOyVbNmI3r/fj6WurnBga0ELFUyzXGH3xzGzJszeW2VmcQMkypM4jVX3zUF2LMAbAL+AU5PSj3unsoDGxX1cM2oGpZ0KImKeWwy7T0S8r0ooNIOCqj0CAVURF+oVEpc37MDN/Zu5+OcefLy7urmNpm7tUvshQsIYrVV38hWBcQGYMylMXgU9oiPm+ZpirHlxvIVgZ/7yKYA1z1FXKRmCrBKm7wolOs9BPc3Afc3px53VFkWI+R90NDTA/2re1CndaJVFFBpBwVUeoQCKqJvfO/fxvGl8/megIZm5mg4YDjcSqTtH5XRlNHRmmzVgQP/ZatYbVXJ/7JVcpWcF6uvebQGaqjhauaKOV5zUMSmyHdMAdqjWsf8kAbdAC7PB96c47d/VFtjjLwXLqqKY1jtfPijSm4YS9PudE9IVqCASjsooNIjFFARfRQdEozDC2ch2Pc1zxpVbNUB5Vu05VvaZHq2itVWhYYCQiGsu3WD7aCBabJVbJsaVrAenBDMt6/pX7I/uhfu/kXBerpTgL2KwMbJBLi9Fri6BIj258eOlPfGbmU12JhKcWKIF2xMDTL1fRLyOQqotIP6UBFCMpWFnT3aTZ2LYjXr8f5R13Zvxb45U5EYG5Opr2tWrRrcjxyGRdOmbA4SEevX423zFki4r6ntYkrnLI29TfbyjZUVagUW31uM3qd7Iyg+6Iu9AEvVzYXmw0rC1MoAUcEJ2DPnDp5e+QB1mT+A/jcBtyr82DmSdeglPYXwuCTUW3QZl1+FZur7JOR3ExgYyPfx8/Dw4FvnsI2S69Spg8ePH2fI88+aNQtlypSBmZkZ7Ozs0KxZM7x8+RL6gDZHJiSbE0ulqN17AOr1GwqxRAq/B3execxgBL32ydTXFVlYwHHObDgvXw6xrS1kb9/iXcdOCJ47D6qkJH6MhYEF5ledj2kVp8FIbIRbQbf4Jstn35394vkcPCzRZnwZ5CqiaQR6YetLnF7/DDKVFOhyCCjYBEIoMV64EQ8NemNI0nJ0XncLEw48RpJcmanvlZDfgZ+fH0qWLInw8HBs3rwZL168wJ49e1CoUCEYGGRMtvfixYvo378/bty4gdOnT0Mul/OALT4+HrqOGntmEJryI7+DED9fHF4wC1HBHyESi1G9258oVqtepjfJ5LVV3t6IPqjZBFnq7g5H75kwKvFfo0+/aD+Mvjwaz8I1mz+3ytcKI0uPhLHE+MspwDP+uHHg0ynAwrBxMgVurdasBFRoArazypLwVnTAR4kr1ncrg/LuOTL1fRLy+dQT6xOnSE7WygfD2qf8yP/t4cOHY+/evfD19YUwk8sCUoSGhvJMFQu0vLy88LOohkqPUEBFfhesSP3kikV4ffsGHxfyqoFaf/SDxCDzeznFnjuPj5MnQRkapqmt6s5qqwZB+O9fv3KlHEsfLMWGJxv4OLdFbsypMgcFcxT89ipAsRBV2uZFocqOECTHAAf6AS+OpB47Q94Rm5R1UMTVFrNbFkM+e7NMf68ke/r8F7s8KQlLurbSyrkM+mcPJJ/ULf4/PXr0wLFjx3j2yM3t242Bvb29+eVbnj17BldX128e8/r1a+TNm5dPKRYp8vP7kVJApUcooCK/E/ZX853D+3B52z9Qq1W8qzrrrs66rGc2ZVQUgmfNSputmuUNo+LFU4+5/uE6xl8Zj9DEUIiFYgwpNQSdC3WGUJD2r+akODnO/PMM7x5/tgrQQKQpWD82IvXYdyo7TFF0xXlVSYyuV4CvBJSIqCqCZCx9Dqju3buH5s2bIyAgAJ6enqhZsya6dOnCp/w+FxERwS/fwoIysfjrq21VKhWaNGmCqKgoXLlyBb+CAio9QgEV+R0FPH2EI4vnIiE6ClIjY9TrNwR5y1bMkteOPXcOHydPTs1W5ejRHTYDB6ZmqyKTIjH52mScDzjPxxUdK2Jm5ZmwMbL55hSghZ0R6vUuAhtnMyDosWYa8OWJ1E7rh5QVMEneDfly58KazqVhYZx5TU9J9qPPU36MUqnkwc2pU6ewe/du/l727duHxo0bZ/j59e3bF8ePH+ev5+zs/EvPRQGVHqGAivyu4iLCcWTxHLx/oaldKt24Baq07wqh6Mv99jIjWxXk7Y2YQ4f5WJonjyZbVawYH7NfRrt9dmPe7XlIUibB2tAa0ytNh5fzl7UWH99E49TaJ19OAbJfKMlxwNmpmuCKBWtqM0yUd8MxVTns+LMSyua2zvT3SrKH36ltAisYZ1kmVtu0fbumUXBGTfkNGDAABw8exKVLl/hn9asooNIjFFCR35lSocDl7f/g7hHN9jHOBYug4eBRMLWy1k62qmcP2AwYkJqtehP1BqMujYJPpGZlYvsC7THMcxgMxYbfNwVo+O+0g+8F4NBAIErTt4rprJyIBo3boF0Zl0wvzie/v98poEpOToaTkxM6dOiAJUuWZMiUH/sjaeDAgdi/fz8uXLjA66cyAgVUeoQCKpId+Ny4gpMrF0OWmAgTSys0GjwazoV+vlD0h7NVM70Rczj9bFWyMhmL7i7Cludb+NjD0gNzveYir1XaH8hs2u/BmQBcP/DmyylAJjEKuLYUuPxX6mPWKBrgfoHhmNq0KGzNqBkoyX4BVefOnXmtVI0aNXjvKbbSj2WgHjx4gFu3bsHd3T1DXqdfv37Ytm0bz07lz58/9XYLCwsYGRn99PNSQKVHKKAi2UXEh0Acmu+N8EB/3lHdq0M3eDZqnmXZm9gzZ/BxylQow1KyVT1hM3AAhFIpv//K+yu8YD0iKQJSoRTDSw/nGavPz+/zKcDKbfKicJV/pwD5AQ+hvroUgie7+fCNygG1ZfPQobwbpjctQtkqkq0CqoULF/KeUz4+PoiLi4OLiwvvDzVmzJhfrm/61Nd+jmzYsAHdunXDz6KASo9QQEWyE7Yy6fSaZXh+5QIfs0L1un0Hw8D4y02MM4MiMhLBLFt1RNP6QOrBslWzYFS0KB+HJYZh4tWJPLhiqjpXxbRK03iN1TenAEvboVrHApAafTINcWoicE0znfFE5YaWsikon88JC9oURw7auoZkk4BK3yV943PPqN/f1Ngzg1BARbIbVuvw8PRxnN+4GiqlAlYOjmg8bBxsXb/dnyarslXs/La92Ib5d+bzDZfZ6r+ZlWaiolPFdKcAbxx4A9W/U4BsL0Bbl096Ud1YCZwYza8q1QKsVDbGBsOuWNK+BCrmSbuqkJBvoYBKOyig0iMUUJHs6uPrlzi8YDZiw0Mhlhqgdq/+vBloVuHZqhkzEXP0aLrZqpcRLzH60mi8iX7Dx10KdcHgUoMhFWmmCFME+Ubj5JpvTAFeng/cWAHEa/b/O630xCh5L1QuXgDzWhWDoSTzVz0S/UcBlXZQQKVHKKAi2VlCTDSOLf0L7x5pNjcuXrs+qnXtDbEk63o4xZw+jSCWrQoPB0QiTbZqQH+erUpSJOGvO39h58ud/NgC1gUwx2sO3C3cv5gCPPvPM/j9OwXoUdoO1T+dAlSrgUt/AednpD5mtrwdTpi2QKfKefFHlYwpzCW/LwqotIMCKj1CARXJ7lQqJa7v2YEb+3bwwCNnnrxoPHQszG3tsjZbNX0GYo4d42ODvB5w8GbZKs1KxPP+5zHp2iREJUfBUGSIUWVHoVXeVmkKYdlUIZ8C3P/vFKCtEer2/mwK8OFOTZd1to0NgHC1Gf5R1IVP3h6Y0twTOS2oNoakjwIq7aCASo9QQEWIxtv7d3Bs2XwkxcXC0NQMDQaOQO4Snln7//HUKQRNnfZftuqPP2DTvx/PVoUkhPBVgDc+avYqrOlaE1MqTIGloeWPTQEq5cCZKcD1ZamP+ai2xmjBMLRu3hKNijnQSkDyBQqotIMCKj1CARUh/4kOCcbhhbMR7PuKrYNGhZbtUaFlO95mIWuzVdMRc+w4HxvkzQsHVltVpDBUahU2Pd2ExfcXQ6FSwM7YDt6VvVHOoVya50iKl+Psxm9MATKhPsCN5VDd3wqhSgaFWojFihZ4W6gf5rUuASMp1VaRT/5N0So/raCASo9QQEVIWgq5HBf+Wc1XAjJuxUuh/oDhMDa3yNr/mydZtmoqlKxrM8tW9foDNv002apn4c94wbpfjB8EEKBHkR7oX7I/JELJt6cA2SpA10+mAJn4MKiOjYLw6V4+PKisiBkGw7CoXUlU8qCVgESDAirtoIBKj1BARUj6nl48izNrl0MhS4aZjS2aDB2LnB75svTj+la2KkGegLm352LvK00gVCRHEV6w7mru+uUUIGsEGvHvFGBrDxT2cko7rceK1tl+gMdH8eFtVT60l09Ejyp5MbZ+AZoCJBRQaQkFVHqEAipCvi703VscWuCNqKCPEInFqN6tN4rVqp/lAUbMiZMImjbtv2xV716w7dsXAqkUp9+dxpRrUxAji4GR2Ajjyo1D0zxN05wjnwL85zn8HoXxsYenHap3+mwKkLmyUFNfBSBAZYtWssnI6eKO+a2Lw8PONEvfM9EtlKH6fQOqrCtoIIRkW7a5cqPTrEXwKFOBb7TMMlbH/17AO65nJfN6deF+5DDM6tcDlEqEr1iJt61aI/HpU9TOVRt7m+xFafvSSFQk8k7rIy+N5AFWCkMTCRr0LYpKrTwgFArw+m4IdnnfRqh/bNoXqjwUqDYOaoEQLsJQ7JFOhd37M6i98AK8jz2HQqnK0vdNCMl8FFARQrIE25amyfBx8OrUgxenP798HtsmDEfEh/dZ+h0QW1vDeeFCOC1aBJGVFZJ9fODXpi1CFi+GvcQaa+usxaCSgyASiHDS7yRaHWqFe8H3Uh/PMlYlarmi+YhSMLU2QHRoIvbMvYMnFwN5vVWqaqMh6HUeMLTkQdUa6QIck4zB7csn0XHtTQREJGTp+yYkIwQGBqJPnz7w8PDgmR62UTLb0+/x48cZ8vyXLl1C48aN4eioWVF74MAB6AsKqAghWYb9gCzTuAVaT5wJYwtLhAW8w9ZxQ/Dq5rUs/y7wbNXRIzCrlzZbJXv+Ar2K9cKm+pvgbOqMj/Ef0f1kd/z94G++IjBFTncLtB1fFm7FbKBSqHFxuw9OrX0KWeJ/x8CxBPDHGcCtCh8WFAZgv8Fk9Awcjz4rj1FQRfSKn58fSpYsifDwcGzevBkvXrzgGyYXKlQIBgYGGfIa8fHxKF68OP7++2/oG9rLL4NQDRUhPyYuMgJHFs3B+xdP+dizUXNUad+V11hltZgTJzR9qyIjAbEYNr17w6bPn0gQyOF90xuH3hzixxW3LY7ZVWbD2cw57Z6GZwNwfZ9mFaC5rRHqpbcK8P094NwM4M1ZPoxTG2Kwahgq1GmNbhXdIBbR37fZsZaH/ftRy7UzBSyQCH+ojnH48OHYu3cvfH19IcyCFigCgQD79+9Hs2bNfvm5qChdj1BARciPY/VUV3Zswp3D+/jYqUBhNBoyGqZW1ln+cSrCwxE0bTpiT57kY4P8+eE4yxuGhQrhmO8xTL8xHXHyOJhKTDGh/AQ0dG/41VWAQrEAVVrn/XIVIPPhPuS7ekISpdlbcLCsH6LzNseKjp7Usyob+PwXu0qmxIdJWZ+hZRynVYTwB/qk9ejRA8eOHcONGzfg5vbtTdC9vb355VuePXsGV9e0q2k/RQFVNkUBFSE/j035nVixELLERD4VyIIql0KazY2zWszx4zyw+jxb9UEWijGXxuBB6AN+XGP3xnwloKnU9KurAPOUskP1zgVg8PkqwLDXUG9vD0G4Dx8eVpbHJot+WNqrLm1b85vT54Dq3r17aN68OQICAuDp6YmaNWuiS5cufMrvcxEREfzyLSwoE38jI00BVTZFARUhv4YVpx9e4M3rqljROpv+K924hVZ6N/Fs1dRpiD11io8NChTg2Spx/rxY82gNVj5aybutsxor1rOqmG2xH58ClCcBpyZAfWcdBGoVPqitMR29UaV+B7Qr68pXEZLfjz5P+TFKpRJXrlzBqVOnsHv3bv5e9u3bxwvJM/z8aMove6KAipBfx9oonF77N18ByLA2C/X6DeErBLMa+0UXm5KtiorSZKv+/BM2f/bGg6inPFv1If4DXw3Yr0Q/9CzSEyLhf3/tB72Nxqk1TxEbkcSnACu3yosiVdOZAgy4BeX2DhAlhPLhG5UDZuVciGkdqsHR0iir3zbJZL9THyq5XM6zTF5eXti+fXua+2jKj/w0CqgIybhA5tGZ4zi/cTWvsbLM6YAmw8bxXlba8LVslSyPE2Zcn4Hjfpru6572nrxgPadJzh+fAkyMhHp9PQhCX/DhPZUHBkimYVX3yijqnLVb9ZDM9TsFVMnJyXByckKHDh2wZMmSNPfRlB/5aRRQEZKxgl774NDCWYgNC4VYaoDavfqjkFcNrQV5MceOIXj6jP+yVX368E7rRwJOYOaNmUhQJMBMaoYpFaagjludH58CVKmAq4uAs1P58JXKCeOUveFZuR6G18kHCa0C/C3oa0DVuXNnXitVo0YN3nuKrfRjWagHDx7g1q1bcHd3z5DXiYuLw+vXr/l11qJhwYIFqF69Oqytrb9ZwK7Xq/zYG37z5g1P9RkZGfEfGtqoddAVFFARkvESY2NwbOlf8HuoaaxZrFY9VO/aG2KpVCsftyIsjG+0HHv6DB8bFCzIs1UhjsZ8k+Un4U/47S3ytsDoMqNhLDH+8SlA34tQ7ekJ4b9TgIsVLXDcpjtmNCuC0m5Zv/qRZCx9DagWLlzIe075+PjwoMfFxYU39BwzZgycnf9rI/KrLly4wAOoz3Xt2hUbN278vQIq1tCrbdu2OHfuHP9B8OrVKx6ZsuWUVlZWmD9/PrIjCqgIyRwqlRI39u7E9b3b+ebD9u550XjoGFjY2Ws3W8Vqq6KjNdmqvn1g8Ud3rHy6Fmsfr4UaauQyz8UL1gvnKJxmCvDcpud4+zBlCtAW1TsX/HIKMCEC6h0dIPC/zofz5G2wBi0wsXEhdKSCdb2mrwGVvkvSxb38hg4dypc5+vv7w9j4v7++WJB14sSJnz4RQghJj1AoQsXWHdBizBQYmpoh2PcVtowdgrcP7mrlA2N/SFo0bKjpsl67FqBQIGzpMgS274TeJnWxru462Bnb4V3MO3Q61gkbnmzgKwJT9gKs36coKrfOC6FIgDf3QrFr5q0v9wI0toag/XbAtQIfjpTswmzhMiw4cA1tVl1HdKJcG2+dEJKRARVbKjlnzpwvUnx58+bFu3fvfvTpCCHku+Qu4YnOsxcjZ568SIqLxb7ZU3B111aewdIGsY0NnJYsgeNff0FkYYHkZ8/51jVu+25jb/1dqOVai29Vs+DuAvQ+3RshCSGpAVnxmi5oMcITZtaGiAlL4nsBPr7w2V6ARlZAh12pQVUL0RXcN+yD2u+Xocni87jnH6mV900IyaCAiu2z82lm6tOK/ozay4cQQtJjbmuHtlPnonjtBnz678be7dg3awoSYqK1l61q1BDuRw7DtFZNto4cYUuWIrJLb3g7/MkL1I3ERrj58SZaHmqJc/7nUh9rn9scbcaXQe7imr0AL+3wwck1T5D86V6AhuZAjxNAxz2pN/0pPoo9iX+g2+qLWHvZN6vfMiEkowKqKlWqYNOmTWl+oKhUKsydOzfdQjJCCMlIYokEtf7oh/r9h/HVf+8e3ceWMUPw8fVLrX3QYltbOC9dCsd583i2KunZM/i1bgOvM8HYUW8rCloXRFRyFAafH4zp16cjUZH4zSnAkHcxaV8gb21g6DOgfD8+tBVEY7twEjYcvYRKs88hSa6dLB0h5BeK0p88ecLbzZcqVYoXpjdp0gRPnz7lGaqrV68iT548yI6oKJ2QrBfq78e7q0d+/AChSIzqXXuheJ0GWl1xrAgNxccpUxF3VrMJMtsL0GbmNKyOP4GNTzWrlNwt3DHXay7yW+dPfVzw2xi+F2BsuGYVYKWWeVG0WjqrAC/9BfW1JRAkRUOhFmKdsj7WGXTB6m7lUcLFMmvfLPnp4mjWEJOtkCdZIzExEX5+frq1yo9hL7ps2TI8fPiQL59kwVX//v3h4OCA7IoCKkK0IzkhHidXLMarW5r90ApWrobavQZAosUVVHwl4JEjCJoxEyq2ElAigW2/vvBpWBjjb0xGWGIYJEIJhnkOQ8eCHVODpi9WAZa0RfUu6awCjHgL7P8TCLjJh5sUtTFF2Q2zWxRHmzIuWf+GyQ91F2dthxwdHfkvcZI1WIeCkJAQ5MuXDyKRSLf6UJG0KKAiRHvYj7G7R/bj0raNUKtUyOHsiibDx8HaMeP64/wMeUgIgli26ty51GyVybSxmB78Dy4EXuC3VXKqhBmVZsDGyCb1vTw6F4hr+15DpVTD3MYQdXsVgV2udH7QnxwPXF/Gr15TFkIP5VgMrF0IPSvnhqHk+ze9JVmHfX/ZKnkWWLGgSij84cob8oOfd0JCAg+mLC0t0038aDWgYinLR48e8RNk9VOfYlOA2REFVIRoX+CzJziyeA7ioyIhNTJC3b5DkK9cJa2eE89WHT6MoJneqdkqm359cdbLAn/dX4BkZTKsDa0xvdJ0eDl7/dgUoFLBN1jGzRV8uF5RD9MVnWBiIMWhAZXgbmuqjbdM/g+ZTMan/T7//UkyDwumcubMmW45gNYCKtZrqkuXLggLC/vyyQQCvhN1dkQBFSG6IS4yAkcXz0Xgc03Xcs9GzVGlfVeIxJ9Nm2kjWzV5CuLOazZ+NixcGIqxfTH6w994FfmK39apYCcM8RwCA5HBj00BPtkH7OnOr15RFkZP+UgkQ4pVnT1Rt/B/ewsS3cGCKRZYkcwnkUi+mObTiYCK9Zti7eYnTZrE9/MhGfsNIYT8OpVSicvb/8Gdw/v42KlAITQaPBqm1jl0KlslkEhg2e9P/FMiGlt8tvNj8lnlw5wqc+Bh5ZH6mEfnA3Ft7/+ZAry9Djg+GlDJEa02Qb3k2QgW5ED7sq6Y0qQw7QVIiK4FVOzF7t+/n21X830NBVSE6B5WqH5i+SLIEhNgbGGJRkNGw6VQUW2f1pfZqiJF8GFIS4x7vwIRSRE8QzWy9Ei0yd8mdYoi2C+G96n65hTgnfXAkaH8aozAHC2TJuCV2hlOlkbY3acCHC1pVRkhOhNQsT37KlWqhJ49e/70i/6OKKAiRDdFfnyPQwtmIczfDwKhEJXbdUGZJi21vpk7z1YdOqTJVsXE8GyV8Z/dMSvvC1wJ0qxYrOZSDdMqToOVoRUfJyewKcAX8H2g2TjZvaQtanQuAANjyX9PHHALODocCHqEKENnVI+agEiYw87MAFv/KIe89mbaecOE6CitBVSsWr5169awtbVF0aJF+dzkpwYNGoSMwuqxpkyZgi1btiAoKIiviOjWrRsmTJiQ+sOQnf7kyZOxZs0aREVF8WBvxYoVfGoyBeuRNXDgQBw+fJivqGjZsiUWL14MU9P/CjZZkT1r/XD79m3+3tjxo0aN+u5zpYCKEN0lT07CmTV/49llTUbIo0x51Os3FAbGJto+NciDWbZqMuIuaFb9GRYtgjs9K2BW6BbIVXLYGtliZuWZqOBY4funAOPDgdXVgGh/yE0csFTVCksiy7Mf+RhZNz/6Vs0DoVC7ASUhyO4B1bp169CnTx/eGCtHjhxp/spj1319M24rBG9vbyxYsAD//PMPChcujDt37qB79+6YOXNmauDG9hWcNWsWP4Y17Jo4cSIeP36MZ8+epTbvql+/Pj5+/IhVq1bxparsOcqUKYNt27alfpisN0WtWrUwduxY/niWiVu0aBF69+79XedKARUhuo0HImdO4PzGVVAqFLDM6YAmw8bBNldunTi36IMHEew9KzVbpe7ZFuNcbuJ13Ft+TPfC3TGw5EBIRJIvpwBFAlRq5YGi1Zz/+5kc+hLY0ooHVcx72GO4rBduqArB0cIQp4dVhYmBdgv1CcnWARVbdsiCmTFjxmR6/4xGjRrxwncWxKVg2SXWXZZlrdips6zV8OHDMWLECH4/+0DYYzZu3Ih27drh+fPnKFSoEM88lS5dOnWlYoMGDRAYGMgfzzJa48eP51kwqVTKj2Hv78CBA3jx4kW655acnMwvn35DXFxcqCidEB0X9OYVDi+chZjQEL51DdvGpnDVmtAF8uBgBE2ajLiLF/lYWqQwDrdzw7r4k3zMtrCZ4zUHuS1yf98UYHwYcGoi8GgHoFZBDQFWKRphoaIl3OxzYFPPsrA3114DVEJ+p4DqhyMitsyzbdu2WdKMrGLFijh79ix8fHz4mHVmv3LlCs84MayPBwuCWGYpBftQypUrh+vXr/Mx+8r6T6QEUww7np3/zZs3U4/x8vJKDaaYunXr4uXLl4iMTH9Hd5YVY6+VcmHBFCFE9+XMkxedZi2CWwlPKGTJOLF8IU6vXgaFDixhl9jbw3nlCjjMmgWhmRlkT56i3tRTWBvSEFZiczyPeI62R9pir89e/gclC5zq/VkEldto9gL0vR+KXd63/9sL0MQGaL4CGP0OyFUJAqjRR3wYJw3HwSDkAZr/fRUvgj7bN5AQ8lN+OCrq2rUrdu7ciazAskQsy1SgQAFeq1WyZEkMGTIEHTt25PezYIr5vH0DG6fcx77a2dmluV8sFsPa2jrNMek9x6ev8Tk2Ncii2ZRLQEBAhr1vQkjmMjIzR4vRk1GxdUdWq4BHZ09gx+RRiA4J1vpHz6bsLJs3g/uRwzCp6gW1XA7zdQexdp896qMo31h5yvUpGH5xOKKTo/nxxWu4oMVIT15PFROWhL1z7+LR+QAedHGG5kDH3UDFgYBxDrjhAw4ZTET7+E1osvg8Jh54ApWKNs0g5FeIf6ZQfO7cuTh58iSKFSv2RVE6q3nKKLt27cLWrVt5rROroXrw4AEPqNg0HQvstMnAwIBfCCH6ia34q9CqPRw88uHo0r8Q7PsaW8YMRv2Bw+FesoxOZKtcVq5E9P4DCJ41C8qnz9HjlRQ1WlfEeJebOP3uNB6FPsKsKrNQJmcZ2LuZo824Mji3+QXPVF3e+QrvfaL+mwKUmgB1ZgCVhwG7ugB+lzFQfIC/1vwbbXD08Ufs6VOBuqsTklUZKlawzTJFbMrsyZMnvCdVyoUFPBlp5MiRqVkqtqKwc+fOGDp0KJ9uS6nnYoKD0/5VycYp97GvbIucTykUCr7y79Nj0nuOT1+DEPJ7YlN/necsRk6PfEiKj8P+2VNxddcWqFRK3chWtWiuyVZ5VYFaJkOurZew+ZAryiQ5IDghGD1P9sSSe0v4ikA+Bdi7CKq0TTsFyArYUxlbA223ACU0mX4WVI0Tb0V8fBzarLqB8y/T/rwkhGRSQHX+/PmvXs79uwFoRmEtGj6v1WLt41P2P2Kr+ljAw+qsPi0uY7VRFSpolhizr6ydwt27d1OPYefJnoPVWqUcc+nSJb4CMMXp06eRP39+WFlp+r8QQn5f5jZ2aDtlDorXacjHN/buwL5ZU5AQEw1dwLNVq1bBYeZMXlslePYKI/8OxrhXBdkeJljzeA26Hu+KgJgAHoQVq+6ClqP+mwLcN+8uHp77ZArQyBJotBBw0tSW9hYfxWWjEcifcAc9Nt7GhAOP/zuWEJJ5myNnFdZz6syZM7zdAZvyY1kw1saAtTRg7RIY9nX27Nlp2iawnlKft01gGaeVK1emtk1gReopbRNYDRQLntiWOqNHj+aZN/YaCxcupLYJhGQzrFeVpkg9GWY5bNF46Bg45M0PXSEPCsLHSZMQf+kyHycXyIVpNSPxyjwBxmJjTCg/AY3cG/HAiq8C/HcKkHEvYYsaXT5rBPrimKa7epymXnS6vCPWKRuiYzlXzGhWROsNUAn5rdomtGjRgrchYC/Ern/Lvn2avbMyQmxsLA+Q9u/fz6ftWO1U+/bt+T6CKSvyUhp7rl69mmeiKleujOXLl/O+UinY9N6AAQPSNPZcsmTJVxt72tjY8MaeLLj6XtSHipDfB+uqzrqrsy7rQpEY1bv2QvE6DXQmuOB9q/btQ/Cs2VDFxQFSCc7VzYlVhT5ALRSgfu76mFh+IsykZvzYxxfe4+qeV7wRqFkOTSNQVnOVSpYArKoChL/mw4XyllisbImWpZwxs3kRGEq+vrEsIfouJisDKpbRYQGImZkZzxp964fKhg0bkB1RQEXI7yU5IQEnVy7Cq5uabWAKVKqKOr0HQvJv5lsXyD9+xMdJkxF/WZOtismbE1OrhyMghxpOpk6YXWU2StiV4PexVgqsESibAmT1VRVbeKBYjU8agYa9AjY0AOI1NVTNZNPwQKXZoPnc8KpUrE5+WzHaauxJMvcbQgjRHezH492jB3Bp6waoVSrkcHZFk+HjYO3oDF3xebZKLZXgUA0TbCseC4FIhD7F+qBXsV4QC8V8CvD85hd48+8UYO7iNqjRpSAMTf6dAmS/DjY2At5dQZR5AZQNGQsZJLAwkmBFx1Ko6GGj3TdLyO/U2LNGjRp8ai29E2L3EULI74Jlb0o3ao42k7xhYmWN8EB/bBk7FD43rkBX8JWALVvC/fAhmFSuDIFMjqYnorB0jwXsw5RY/nA5epzsgQ9xH3jtVF2+CjAfhGIB3j4M06wCfPvvKkCWrWq5BpCawTLmBR64LEAZeyGiE+Xosv4WDj54r+23S4jO+uEMFatBSq9ZJqtxcnJySrNSLjuhDBUhv7f4qEgcWTwHgc+e8LFnw6ao0qE7RGKxbmWr9u5F8Ow5PFulkoqxq6oY+0vJYWpgjokVJvL6qv87BXh7HXB0mOY5pab4x3owpvgV4psrD6rhgSG18tHmyuS3EZPVU36saJspUaIEbzvAOo1/2uyT7Y/HVuP5+fkhO6KAipDfn0qpxJUdm3D70F4+dsxfCI2HjIapdQ7oEl5bNWEi4q9e5eMANxP8VScJH3MI0CRPE4wrNw4mEhMkJypwftPzL6cAjUTA7TXAeW8gSTMjEWTkgaaRQxAMa1Rwz4GVnTxh8elqQUL0VJYHVCwzlVK8mN5D2IbFS5cu5e0GsiMKqAjJPl7dvo4Tfy+ELDEBxhaWaDR4FFwKF4MuYT+no/bsQQjLVsXHQykRYZsXcKQ04GzhijlV5qCobVF+3JOL73GFrQJU/LsK8I8isM9tDiRFA2trA2Ev+XMqhQZYIGuGtYr6sLWywMbuZeBhZ6btt0qIfgVU79694//x3N3dcevWLdja2qbex1oYsClA1nQzu6KAipDshbVUOLxgFkL9/SAQCFG5fReUadJSZ1orpJB/+KDJVl3TrFb0dZVicT0lQm0k6F+yP7oX7g6RUPTtKcCA28DpiYC/ZtP5MFjCW9YOJ8XVMatlMTQp7qjld0nIz6NVfjqGAipCsh95chLOrF2OZ5c0u0TkKV0e9foNgaHJfz3udCZbtXs3QubM5dkqhUSIrV7AsdIClHYsC+/K3shpklMzBbj5Od7cS2cVIPvb++ZK4NwMQBbH79+t8MIURVf0q1sC/arl0blgkpDvQQGVjqGAipDsiTfOPHsS5zashFKhgKW9AxoPGws7N3foms+zVT4uIvxdH4h3sMDUilNRK1etL6cArf9tBMqmAJmkGGBPd+D1GT70U9mjl3w4SnqWh3fzohCLfnjxOCFaRQGVjqGAipDsLejNKxxeOAsxoSEQS6So+Uc/FKlWC7qGZ6t2sWzVHKgSEiAXC7CtqoBnq1rkb4VRZUbBWGKMUP9YnFj9+OuNQH0vAgf6AjHvEac2RH/5YATbVcaaLqXhYm2s7bdJyHejgErHUEBFCEmMi8XxpX/h7QPNZuxFa9ZFjW5/QvzvVlm6RP7+PT5OZNkqTV3UC2cBljcUwtAtN+Z6zUXBHAX/nQJ8gTf3QtJvBBrxFtjRAQh5xodFktbC3MIam3qWpWJ1ojcooNIxFFARQhjWUf3G/p24tnsbrzuyy50HTYaNhYVdTp3PVskkAmzzEuB0OQkGew5F50KdIYDg21OA8kRglgugkuO4uCb6xvWEuaEYG7qXhWcuK22/RUJ0O6BindL37NmDN2/eYOTIkbwn1b1792Bvb8+be2ZHFFARQj7l9/Aeji79C0mxMbxIvf7A4XAvWUYnPySWrfowYQISrt/g4+fOwPKGIrgXroiZlWfC1thWMwXIVgGGJn45BXh5PnB2GtQQ4IWkIA4lFMN2aQvMblkcdQvbU7E60WlaC6hYg89atWrxF2dNPF++fMlbKUyYMAH+/v7YtGkTsiMKqAghX/xcCAvB4YWzEfTah4/Lt2iLCq07QCgU6Wa2aucuhMydy7NVyWJgWzUhbla0xtQq01HNpdrXpwCNxcCRocDdDanPt0LRGHMU7dGpvCumNikCkZBWABLdpLWAigVTpUqVwty5c2FmZoaHDx/ygOratWvo0KEDdUqnzZEJIZ9QyOW4uHktHpw8yseuRUug4aCRMDa30MnPSRbIaqv+y1Y9cwFWNBCheoX2GF56OAxEBl9MAdbpVRg53cyBD/c1q//Oz+SPbZU8CXfUBeBkaYS9fSsip4Whlt8dIToUULEXZdN7efLkSRNQscaf+fPnR1JSErIjylARQr7l+ZULOLV6KRTJyTDNYYPGQ8bAMV8BnfzQNNmqnQieMxfqxMTUbNXrmnkxu9pc5LPKl3YKUChAhRZ5ULymi2Z6b3sH4KUmgBwp743dyqp8H8DLo6rTCkDy2/7+/uGGIQYGBvzFP+fj45OmezohhJD/FKxcDR1nLoCVgxPiwsOwc8oY3D9xON2tvLSNBUVW7drB/fBhGJcvDwMF0P2MCh2Xv8TgzW2x9flW2LiYou24MshTyg4qlRpX97zGsRWPkRQvB1quAZw8+XPNk6zGDPF6iKFAlbnnERkv0/bbIyRT/HCG6o8//kB4eDh27drFi9FZTRXbcqZZs2bw8vLCokWLkB1RhooQ8j2SExJwauVi+NzUbFxcoFJV1O49AFJDI51dtcizVXPn8WxVkkSTrYpv7IXpVWbA2tAaTy+9x+Xdn00BOgC4MBu4sYI9C04oy6CPfCh/zoP9K6G4i6W23xoh2p3yYy/YqlUr3LlzB7GxsXB0dERQUBAqVKiAY8eOwcTEBNkRBVSEkO/FfuzeO3YIl7auh0qpRA5nV95dPYeTi85+iLLAQHwcPwEJN2+m1lZtb5EDQ5vMQSWnSl+fAnx5TNOrCkDj5Bl4rNZ0kB9ZNz/6V/fQ6nsiRCf6UF29epXXT8XFxfEidVasnp1RQEUI+VGBL57iyKI5iI+MgMTQCHX7DEL+ClV09oNk2arIHTsQPG8ekJiUmq2y7dQFQ0oPBWRCnN/yAq/valYBuhWzQc2uBWG4oggQFwS1QIyVgtaYl9AQKggxo1kRdCqfS9tvi2RzMdoIqORyOYyMjPDgwQMUKVLkp1/0d0QBFSHkZ8RHReLo4rkIePaYj0s1aAqvjt0hEot1Olv1fuxYJN2+w8dPXYGT7fNibPNFyG2RO80UoKm1Aeq2tkTOx+MB3/P8+MemldEkrA/UEPJNlVm2ijZWJtkuQ8VW9O3fvx/Fixf/6Rf9HVFARQj5WWza78rOzbh9cA8fO+YvhEZDRsHM2ka3s1Xbt+PjvHkQJiXzbNWuGlKU7DMWrQu0RVhAHE6ueYLolCnA5u4oLtoGwaXZ/PGvc1RDo/ddkQQDlHe3xvZe5SmoItkroFq3bh327duHzZs386J0krHfEEJI9vX69g2cWL4QyQnxMLaw5P2qXIvo9h+vsoAA+I8dDfmd+3z8xFWAh39Uwogm82CsNv1yCtDjDAyvTeXjIKO8qBA5mWeqijlbYH+/StQAlGSfgKpkyZJ4/fo1n/7LlSvXF0XorEdVdkQBFSEkI0QGfcDh+d4I9feDQCBEpXadUbZJSwiEP9zlJkuzVRHbtvJslShZzrNVh+pYoN6whSjrWB5PL3/AlV2voFSoNFOA+U4gp98S/tj3hnnxZ3RXPFG7o6iTBZZ3LEW9qkj2CKimTtX8ZfE1kydPRnZEARUhJKPIk5Nwdt0KPL14lo/zlC6Hev2G8j0BdZnM3x9vRg8D7j/l46euAoQNbYuedcYh6n1SminA8iU/oERgP7A+oMwSRXN+MTU2wtoupVHajWZASDZZ5Ucy5xtCCCEM+9H8+NxJnNuwCkq5HBb2OdFk2DjYuWnaDuhytip48z8InT8fYpmSZ6vONnJEy1Fr4GToivNbX+D1nX+nAPOKUVMwGoYxz/g4XGCJmolzECs0x5QmhdGZVgCSLEABlY6hgIoQkhmCfV/j0IJZiAkNhlgiRc2efVGkem2d/7BZturZ8P4wePyaj5+5iWAwfigaVOqOZ1c+pp0CdN6KnCFb+XHBEifUjZ2EKJhhQsOC+KOKbgeQRP/FaCtDpVQqsXDhQt4p3d/fHzJZ2m0EIiIikB1RQEUIySyJcbE4vmw+3t7XtCkoWqMOanTvA7FUqvPZqncbViJ68d+QylQ8W3W3dRG0HbUOSaECnFz9yRRgLROUeFwfArUCMqEh7ivc0E82GCUK5MWqzp4Qi3S3hozoN63t5cdqqBYsWIC2bdvyFx82bBhatGgBoVCIKVOm/PSJEEIISZ+RqRmaj5qESm07s4328PjcKWyfNBLRIUE6/ZGxQnq3nv2Q79ARRBd0gqEcqLTtCS62rI6kRB+0GVcGHqU1ewFeOxWHY8a7kGRZHFJVEsoJX+CuYV/4v7yHbhtuIyqB9gAkuu2HM1R58uTBkiVL0LBhQ5iZmfEmnym33bhxA9u2bUN2RBkqQkhW8Ht0H8eWzENibAwMTEzQYMAIuJcqo/MfPstWPV01D8rlGyGVg2erkv5si9J/jsPL66H/TQFaGaBu0SvI6ePNHydTi9FcNg1yuyLY0rMc7MwNtf1WyG8mRltTfqxNwvPnz+Hq6goHBwccPXqUbz3j6+vLWyqwE8qOKKAihGTZz5uwUBxZOBsfX7/k43LN26Jimw4QCkU6/014/+IuHg3tDbe3CXz8PLcYr/rUQd18f+DJ9ihEh/w7BVg6AiXe9YRAoEYMTFApaTFiYYxHU+rA3FCi7bdBfiMx2pryc3Z2xsePH/l1lpk6deoUv3779m0YGBj89IkQQgj5PuY2tmg7dTZK1mvMxzf378TemZOQEKP7f9A6FfBEtYOX8bhjWSSLgYJvFag98Rg2rWyFR1UOwrmEuWYK8JYVjlkcQRKsYI547JROhxkS0HL5NYTEJGn7bRDy6wFV8+bNcfaspjfKwIEDMXHiROTNmxddunRBjx49fvTpCCGE/ASRWIIa3f9Eg0EjITYwgP+Th9g8ehA++DzX+c/TSGqMNhP/Qb7DR6Esmg9GMqDXSRU85x/CKkVf2NZVQCQWws9Hhp0JGxAkKodCwnc4YTAGlqF30GndTaqpIjrnl/tQXb9+nV9YUNW4seavpeyIpvwIIdoSFvCOt1aI/BAIoUiEqp3/QMl6jfRibzy+J+DmzQhesABIliFRCmyrKUHVtvMQfcz83ylAoLz5dpQw2I14gSGqJi2Ao5Mr9vStAAOx7k9zEt1Gfah0DAVUhBBtkiUm4OTKJfC5cYWP81f0Qp0/B0JqaKQX3xiZnx8+jBuHxHuaPQEfuQnwtFsNlIv5A373NO143Eweo6bJPLwR2GC0rCcizAthffcyKJCTmikTPQ2oXr58iaVLl/LidKZgwYJ8+i9//vzIriigIoRoG/txfu/YIVzauh4qpRLWTi68u3oOZxfoA7VSiQ8b1yJy8VKIZEokSIHLzdxRsepC3Nv/QbMKUBSOuhbzkEPyGt3ko3BHWByL2pZA/aIO2j59oqe0VpS+d+9eFClSBHfv3kXx4sX5hW2IzG5j9xFCCNEONsXn2bAp2kyaBVMra0S8D8DWcUPx4tolvfiWCEQiOPX8k/etUhXND2MZUHeXL94vaINqHS1gYWeEOGUO7I+ciccJjbFBMh9t1ccxcPs9vA6J0/bpk2zup/pQdezYEdOmTftiU+QtW7bgzZs3yI4oQ0UI0SXxUZE4umQeAp4+4uNS9ZvAq1N3XsyuL9mq+8tmQLRmB6QK8NqqN51qwtz6T7y+E8qPyWVwB7UslmC3qhw2Ww/Eys6l4W6r2xtIE92jtSk/Y2NjPHr0CB4eHmluf/XqFc9WJSRoeotkNxRQEUJ0DZv2u7pzM24d3MPHjvkKotHQ0TCztoG+ePf4Oh4N6w2PAAUfvy9sB7vuK3DtRIhmClAYijqW83FJ6ABvQU9MaVEKzUs6a/u0iR7R2pRftWrVcPny5S9uv3LlCqpUqfLTJ0IIISRjsRV/VTp0Q9ORE2FgbMJbKmwePRjvHj/Qm486V9EKqHH4Gp51KAuZGHB6GgL1hLbwKvoelmwKUGWL/REzkTfZEhswDVN3XsHmG++gUKq0feokm/nhDNXKlSsxadIktGnTBuXLl+e3sS1ndu/ezff5c3R0TD22SZMmyC4oQ0UI0WVRQR9xaIE3Qt+9hUAgRKW2nVC2aSu+356+2HpiLkznbUS+95pfWwllSiC03HC8eRKTOgVoYXoCnZXDUSWvDdZ0KQ1DCbVVIDo65cc2Qf6uJxYIoFQqkV1QQEUI0XVyWTLOrluBpxfO8LG7Z1nU7zcMhqb6U3f0OOghTs4diNqnQnltldLYEEldp+GOjwnYrxxTYRjyWmyBN2rDMk9ZHlQZSSmoIl9Hfah0DAVUhBB98fjcKZxdvwJKuRwWdvZoPGwc7HPngb5IUiTBe/cAlFp7Ffnfa25TVG6Eh8blEC2zhgBKlDDdhZ6ieijq7oj13crA1ECs7dMmOooCKh1DARUhRJ8E+77m3dVjQoMhkkhQs2dfFK1eB/pCppSh/+m+sD10A+0uqiBRAipza7ytMwrvwsz4MdHSaGw2lKCAmxU2di8LCyP9WOFIfvOidLa9zJEjR9LctmnTJuTOnRt2dnbo3bs3kpOTf/pECCGEZB17dw90nr0Y7qXK8EzVqZVLcHLlYj4tqA+kIikW11yK69XsMLKnCKrCHhDGRMB9zxgUC9sBEZJhIbPAiLgkhPtGos3K6/ALi9f2aZPf2HcHVKzv1NOnT1PHjx8/Rs+ePVGrVi2MGTMGhw8fxqxZszLrPAkhhGQwVjvVbOREVG7XhReqPzl/GtsnjkRUcJBefNbGEmM4mjjiQw4Bgv8aDLuRIyCUSmHz5DJK3/8LZsqPSFJZo12cAezeRaPB4su46Ruu7dMm2T2gevDgAWrWrJk63rFjB8qVK4c1a9Zg2LBhWLJkCXbt2pVZ50kIISQTsFV+5Zq3Qctx02BkZo5QP19sGTsYb+7e1IvP28rQin+NlEcjR8+eyH1gPwyLF4NJ9AeUvDYP9sG3oYYI5ZNM0DRShb7rb+PamzBtnzbJzgFVZGQk7O3tU8cXL15E/fr1U8dlypRBQEBAxp8hIYSQTJerWAl0nrMEDnnzIzk+HgfmTseVHZugUun2am1LA0v+NTI5kn81cHeH27ZtyDltKozsc6DQ840o8HIrhCoZnBWGaB8uxMgVt/EoMErLZ06ybUDFgqm3b9/y6zKZjO/fl9KHiomNjYVEQgV/hBCir8xy2KDtlNkoWa8xH9/cvwt7Z05EQrTuBh/Whtb8a2SSJqBK2RPQqk0b5D50CPajR8M5+h5K350H44RgGKvFaBcnxeK5t3DsVqAWz5xk24CqQYMGvFaKdUkfO3Ys34Lm087obDsats8fIYQQ/cX2+qvR/U80HDQSEgND+D95hM1jBuP9y+fQRZaGll8EVClEpibI0b0b3I8dh11+W5S+Owf2wbcghAClZGL4rH+JI1ueITlBroUzJ9k2oJo+fTrEYjGqVq3K66bYRSqVpt6/fv161KmjP0tuCSGEfF2BSlXR0XsBrB2dERcRjl1Tx+De8UP4wV7Qmc7KQFNDFZEc8dVjJDlzwmXjJti1qIFCz/9BiQdLYJnwGhII8O5KEDZPuI5H5wN17r0R/fLDndJZnwZTU1OIRGk7z0ZERPDbPw2yshPqQ0UI+R3JEhNwctVS+FzX7OGav0IV1OkzCFJDI+iCiwEXMeDcABTOURg7Gu34v8dHrl6EoIWrwH7zRecuhPNuvWCh1vze8ihthxpdCkJCndWzlRhtbY7MXvTzYIqxtrbOtsEUIYT8rqRGxmg0eBSqd+vNN1t+ef0yto4divBAf+j6lF96rHoPgfOCORBJ1LB8+ww1b0zEbWEk2FbKr++E4NjyR1AqaGNl8uP0Z1dMQgghWsH2Zi1VvwnaTJ4NUytrRHwIxNZxw/Di6kWtf0esDazTrPL7Hmb1m8Ctow2k5nKYJ8ahz605OCqNgFygRuCLSJxe9xTyZN1e3Uh0DwVUhBBCvotT/oK8tYJrkWKQJyfh6JJ5OLdxFZQKudYzVImKRL7H3/cyqNgMuWqEQ2KigEVcLObdm45jhvFQQo0390Oxy/s2wgJjM/HMye+GAipCCCHfzdjCEi3HT+fNQJn7xw9j59SxiA3XTrNMU4kpxELxD037cV4jIB55By6D6kAoVUEcJsP0R9NwwCQesQI1ooITsGfOXbx9RE1AyfehgIoQQsgPEQpFfLuaZqMmwsDYBB99XmDz6EF49/iBVqYj7Y01TaeXP1zON03+bjnywKDr33CZ2AcCoRrm7+Pxt99UHDELhq9YCaVcheMrH+PljY+Z9wbIb0PnA6r379+jU6dOyJEjB4yMjFC0aFHcuXMn9X62SHHSpElwcHDg97O9BV+9evXFCsSOHTvy6n1LS0u+B2FcXFyaY1gfLdZXy9DQEC4uLpg7d26WvUdCCNFHeTzLodPsxbB1c0dibAz2zpyEG/t2Qq3K2qLuASUHQCgQ4sDrA+hyvMuPBVUs69Z6KByGddMMniZgz4eJ8DN9gldGKqhVapzZ+BwPz9JOIESPAyq23U2lSpV4B/bjx4/j2bNnmD9/PqysNH1HGBb4sH0EV65ciZs3b8LExAR169ZFUtJ/c+ksmGIbO58+fRpHjhzBpUuX0Lt37zRLJlkPrVy5cuHu3buYN28epkyZgtWrV2f5eyaEEH1iaZ8T7afPQ5HqdaBWq3B152YcmDcdSZ/90ZqZGrk3wrIay/j1p+FP0fRAU7yN1uzs8b0s/hgD294d+fXIOxKsDZsHc6ND8LHQ3H9l9yvcPORLvapIxvWhykqsM/vVq1d5d/b0sFN3dHTE8OHDMWLECH4b6yPBtsnZuHEj2rVrh+fPn6NQoUK4ffs2SpcuzY85ceIE7/weGBjIH79ixQqMHz8eQUFBqa0f2GsfOHAAL168+K5zpT5UhJDs7vG5Uzi7fgWUcjks7OzReOhY2Lt7ZNnrz7s9D5uebeLXzaRmON3qNEwkJt/9ePY7JWjCOETtPQCBSMWL1ueYtcdbWROUjdO0CypWwxmVW+flU43k9xCjrT5UWenQoUM8CGrdujXs7OxQsmRJ3qE9BdtbkAVBbJovBftQypUrh+vXr/Mx+8qm+VKCKYYdLxQKeUYr5RgvL680fbRYluvly5c8S5ae5ORk/k349EIIIdlZ0Rp10H76XzyYig4JxvZJI3mQlVVGlB6B0WVG8+uxsljc/Kj5Gf+9WJCUc+p0mFSuDLVSiIBL1hgkP4iLYhlOG2mmER+dC8S1va8pU0X0K6Dy9fXl2aO8efPi5MmT6Nu3LwYNGoR//vmH38+CKYZlpD7Fxin3sa8sGPsU20KHNSL99Jj0nuPT1/jcrFmzePCWcmF1V4QQkt3Z586DTrMWw92zLM9UnVq1BCdWLIJclpzpr80Cok6FOqFpnqZ8PPj8YPQ50+eH2ikIxGI4LVoEg3weUCaLEHnRAK5iOR4YKHHZQtOb6sGZANw4SNN/RI8CKpVKhVKlSsHb25tnp1jdU69evXi9lLaxDaJZejDlEhBABYuEEMIYmpqi2YgJfCWgQCDE0wtnsH3iSEQFZc1quTFlx6BQjkL8+tX3V3H9g2bG4nuxTZVdli2E2EgJWYwYG+/NQyFzJW4IZDjzb6bq3ol3uH3UL1POn+gnnQ6o2Mo9Vv/0qYIFC8LfX7PlQc6cOfnX4ODgNMewccp97GtISEia+xUKBV/59+kx6T3Hp6/xOQMDAz7X+umFEEKIhkAo5L2qWo6fBiNzC4T6+WLL2CF4fefHpuF+hqnUFNsabEO5nOX4eN6debgUeOmHpukkLnng0s4ZQrEKyb4RWH1lOPq6+OO+gRLnDDVB1e0jb3H3BAVVRA8CKrbCj9UxfcrHx4evxmNy587NA56zZ8+m3s9qmVhtVIUKFfiYfY2KiuKr91KcO3eOZ79YrVXKMWzln1z+X7dftiIwf/78aVYUEkII+TG5ipZA59mL4ZCvAJIT4nFw3nRc3v4PVMrM3dpFJBRhWqVpsDWyRUBsAPqf7Y/KOyqj4b6GGHp+KF5GpP3d8gWBAIZDj8CpVxW2fAuxvmJ0P+uNBtIHeGKYiIuGmt8XNw744v5p3djXkGiXTq/yYyvzKlasiKlTp6JNmza4desWn/Jj7QxYKwRmzpw5mD17Nq+rYgHWxIkTeU8p1mKB9ZRi6tevzzNObKqQBU3du3fnRerbtm3j97MpOxY8sdYJo0ePxpMnT9CjRw8sXLgwTXuFb6FVfoQQ8nVse5pLWzbg3vFDfOxSuBgaDhoJE8vM/aM1LDEMm55uws6XO5GgSEi93VBkiFb5WqFLoS5wMHX45nNE/bMSH2ct5tdzlomCsYcSU2Wd8C6hLiomSvjtVdrmRbHqVEurjzLq97dOB1QM6xvF6pVYs04WMA0bNowHVSnY6U+ePJkHWSwTVblyZSxfvhz58uVLPYZN7w0YMACHDx/mq/tatmzJe1eZmpqmHsOCsP79+/MgzsbGBgMHDuTB1feigIoQQv6/F9cu4dTKJXwvQLbRcqMhY+BUIG1pR2ZIkCfgfdx7RCRFYNWjVbgddJvfLhaI0Txvc4wuOxoGIoOvPj70r9kIW/sPz1a5eEXA1CEZ42U9EKFsjCLRmmOqdsiPIl5Omf5eSMbKNgGVvqCAihBCvk94YAAOLfBGxPsACEUiVO3UAyXrN8my3k4KlQKXAy9j64utqa0VKjlWgncVb1gbWqf7GPar8uPoMYg+dAhCqRC5qgfB0EqBIcn9EJlQDWWTNZmq6p0LoFAlxyx5HyRjUEClYyigIoSQ7ydLSuSZqpfXNY2b81Wogrp/DoTUyDhLP0ZWrM5qqmQqGXKa5MTymsuR1ypvuseqZTL49+qNhJs3ITYVwq3GB0iMVWiUNAN2CfnhKRMDAqBWt0LIXy79BU1E92SLxp6EEEJ+T1JDIzQcPArVu/3Js1Q+1y9jy7hhCA/M2gJvL2cvbG24FXbGdgiKD0KLQy3wICT9TZ4FUimcly6B1CMPFHEqBFzKAaVcgPySIJwzYr2qFIAaOLvxGV7dSbtynPz+KKAihBCiFWyKr1T9xmg7ZTZMrXMg8kMgto4bhudXL2bpeRSwLoB/6v0DRxPNVF33E92x4cmGdI8VmZvDddUqiGxtkBwlwfsrVphWwwG5bIxx2lCOR1IFWCHN6fXP4Hs/NEvfB9EuCqgIIYRolWO+gry1gmuR4rxY/diSeTi7fiVfGZhVnM2csb/pftTOVRsKtQIL7i7A49DH6R4rcXKCy/IVEEiEiA82ROymA9jdpwKf7jtlJMdTiQJqlRon1z6B36OwLHsPRLsooCKEEKJ1xhaWvAloueZt+fjBySPYOWUMYsKyLstjLDHG/KrzeYE60/VEV9TbWw9zbs2BTKlp5pnCqGgROPXw4tcjr7+HdN1kXBhRDWoBcNxYDl8jFVRKNY6vfgz/Z+FZ9h6I9lBARQghRCcIhSJUbtcZzUZNgoGJCT6+eoktYwbj3aP0a5oyaxpySsUp8LT3hFwl560Wtjzfgr5n+vINlz9l9scU2JTTFNEHrT4I+6OTcbh/JT79t1+aDF8DFVQKNY6veIwPr6Oy7D0Q7aC2CRmEVvkRQkjGiQoOwuEFsxDi94Z3La/UphPKNWvNt7TJCqxNgl+MHx6FPoL3TW/eFDS/VX6sr7ce5tL/VoKp48IQ2LQc4t5L+d5/uZdPQ2LJlui16Q5uvYlA60QDuMqEkBqK0GxYKdi6mmXJ+ZPvR20TdAwFVIQQkrEUMhnObViJx+dO8bF7qTKo338433w5K72IeIE+p/sgPCmcZ65W1V6Vpgmo8u19+LVrB1m0EMb2SrjuO4UEU2d0XX8LD/wi0SbeAE4KIQxNJWg+vBSsHUyy9PzJt1HbBEIIIb81sVSKOn8OQp0+gyCWSOF77zY2jxmMYN/XWb4KkAVRphJT3A2+i/l35qe5X5S7JJz/2QuhVICEYBGCe9eHyclh2FL8MRzMgD0myQgWqZAUJ8ehRfcRE5aYpedPsgbVUBFCCNFpRavXQbvp82BhnxMxocHYPmkkHp09yaflskp+6/yYXGEyv37j440v7jcoUASOY/vx65FPgag9u2B4ahSOV/GFg40xdpkkI1KsRny0DAcX3Ud8VHKWnTvJGhRQEUII0Xn2ufOg06xFcPcsC6VcjtOrl+LkisW8zUJWZqoY1gA0vWDOrP0A2PTsrDnmjiUSwyUwfXMUu7oWhruTObYbJyFWDMSEJeHg4gdIjEu7cpDoNwqoCCGE6AVDE1M0GzEBldt3hUAgxNOLZ7B94khEBn3Iktdn3dSZREUi4uRx6R5jM3wMTKtXh1olQODVHFD43IT97sbY2NwW1jZG2G6UhDihGpEf43F4yUMkJyqy5NxJ5qOAihBCiN5gq/zYar9WE2bw3lWh795i69iheH37y2m4zOhTlbLCLzg++Kvn5zh3DqS5c0ORIMT7G/ZQB7+A3Y4G2FIHSJACO02SkSRUI9Q/Fkf/fgi5TJnp504yHwVUhBBC9I5rkWLoNHsR77KenBCPg3/NwKVtG6FSZm5wwjZQZoITvr5Xn8jMDM5/L4PQxAQJQQIEv3QHEsKR62hHnG4uQoRIjZ3GyZALgY+vo3Fi1WMoFapMPW+S+SigIoQQopfMrG3QZvIslGrQlI9vH9yDPTMmID4qMtNe097YPrWO6lsM3N3hOG8uvx75MAlRcZ6APAFuR9rgZqE98JA+xm7jZKiEgP/TCJxe9xQqJQVV+owCKkIIIXpLJBajetdeaDRkNCSGRgh49pi3Vnj/4lmmvJ69yb8BVcK3AyrGrEYN2PTvrzn+VDgSRSU0z+G7D1sM5sDN8Cn2GCVDJQDe3A/F+S0v+B6ARD9RQEUIIUTv5a9QBR29FyCHsyviIyOwa9pY3D16IMNbKziZOvGvW59vxcWAi//3eJv+/WBaowbUMhkCTwOKSlMBj1oQqpXYYLocCoNwHDJKBjvLF9eDcHn3qyxtB0EyDgVUhBBCfgs5nFzQYeZ8FKhUlddSXdi0FkcWzoYsMSHDXqOxe2M4mDjwff0GnBuAgecGIjA28KvHpylSDwnB+3/uQt18PWBfFNKkcBxx3Y53xsAxY00LhcfnA3Hr8NsMO1+SdSigIoQQ8tuQGhqhwcARqNH9TwhFYvjcvIot44YhLOBdhk35HWh6AN2LdIdYIMaFgAtovL8xFt5diJCEkHQfIzI1/a9I/c4dBC9YCjRfwe+zCrmJlqWc8EyqhL+bZjubO8f88PBcQIacL8k6FFARQgj5rQgEApSs1xhtp8yGaQ4bRH4IxNbxw/D8yoUMa58wzHMYdjfejVJ2paBQK7D+yXo03NcQax6tgUKl+HaR+tatiDr/QHOHSo7GRTUrB3dGRUFa0opfv7L7FV7d+fpKQqJ7KKAihBDyW3LMVwCdZy+Ga9ESUCQn49jSv3B2/UooFfIMeX4PKw9sqLcBI0uPRKEchZCkTMKS+0sw9vJYqNSqbxepz/qLd1JnKrqZoYybJpCa6fsBDp62YEVVZzY+Q+CLiAw5V5L5KKAihBDy2zI2t0DLcVNRvkVbPn5w8gh2Th6DmLDQDHl+oUCILoW7YEfDHZhRaQa/7YTfCfQ61QsypezbRepXrKFIEgKKZMxtVRxCAUuvAWPfBsIwtylUCjWOrXzMG4AS3UcBFSGEkN+aUChCpbad0Xz0ZL59zcfXL3lrBb9H9zN0mrGpR1N0KtiJj28F3cLwi8O/mP5LU6SeKELgVSuok+KR28YE9yfVQZ1C9khWqeAdEQqBnQHkSUocXvYQ0aGJGXauJHNQQEUIISRbcC9VhndXt8udB0mxMdjrPQnX926HWpVxDTVHlRmFZTWWwUBkwAvWp1yb8kUbhNQidbEKiaEGCJ6/hN9uYSTByk6e6FEpN5QCYFFyFIRWUiTGyHB4yQMkxNBmyrqMAipCCCHZhoVdTrSfNg9Fa9YF1Gpc27UV++dMRWJcbIZlqqq6VMU8r3kQCUQ4+OYgFtxdkH6RepVkfj1yzyFE7d3HrwuFAkxqXAgdy7lCJgCWKaMhMhPzDBXb90+WRJsp6yoKqAghhGQrYqkUdXoPRN2+QyCWSPH2wV1sGTMYwb6vM+w1qrtWx9SKU/n1jU838lWAnzPLLYJNkRh+PWjKFCQ+epR634xmRXimKl4IbDFIhMRYjJB3sTix+gnt+6ejKKAihBCSLRWpVgvtZ/wFS3sHxISGYPvEEXh05kSGdSpnNVUjSo/g11mfqj0+e9IeIDaATeE4mBaygVouR+DAQVCEhqZmukbVy48COc0QqFDgjqsIYqkQAc8icG7Tc9qiRgdRQEUIISTbsnNzR8dZC5GndDkoFQqcXrMMJ1csgjw5KUOev2vhruhZpCe/PvX6VEy+Nvm/QnWH4hAIAMeCjyG1EkIRHIzAIUP5CkDGUCLi03/MqaAoKMrngEAogM+tYFzb/yZDzo9kHAqoCCGEZGts5V/T4eNRpUM3CARCPL14FtsnjEBk0IcMef7BpQajR5EeEECAfa/2oefJnprtalqsBup6Q2RpC+cKHyGUqJF49y6CZ89JfWzFPDYo6GDOr8975I+P+Yz49Qen/fHgjH+GnB/JGBRQEUIIyfZYO4OyTVuh1YQZMLawRKi/H7aMGYJXt6//8mfDpu+Geg7FX1X/4qv/7oXcQ+vDrXEh5C5QoT/Q9yoMCpaAY3lNE8/IbdtSi9SZA/0roreXO7++OSgcYe6aoOrqntd4eTMo23/vdIVATdtaZ4iYmBhYWFggOjoa5uaavyYIIYTon7iIcBxeNAcfXj7j4zJNWqJyuy4QikS//NwvIl7wTuqvozQF8NVdqsPCwAJVrYug1smZCL0SjrAn5hBIJMi1dQuMihVLfezBB+8xbNdDKJVqDLGxgeRNPF8V2HBAMbgWyvHL55ZdxWTQ728KqHTsG0IIIUT7WD3V5W0bcPfoQT52KVQUDQePgomlZouYXyFXyjHvzjxsf7E9ze1tc9XDqPOrEXzFCnHvjSC2NEbuQ8chtrNLPWb7LX+M3fcYlkYSzHVyxKs7IRAbiNB8WEnY5aLfPT+DAiodQwEVIYT8fl5ev4KTKxdDnpQIEytrNBoyGs4FCmfIc9/6eAs+kT54F/MOO17u4LdVM82Nvz5GI3DTe8hiJDByFCPX0RsQGJnw+0NiklBu1lnWQgv9vdyR72USAl9GwthcilZjSsPM2jBDzi07iaEMlW6hgIoQQn5PER8CcWi+N8ID/XmtVdVOPVCqQVNeG5VRzvmfw6hLo5CsTEazPM0wPiAZ77wPQiUXwqqSG3KuPgyIxPzYxWdeYeEZH359YBV3ON6NQcSHeFg7mqDlSE9IjTTHkaz9/U1F6YQQQsg3WDs6o8PM+ShQqSrfpubCprU4snA2khMSMuxzq+FaAwuqLeCbLR94cwB7iheDY7fK/L7Iq36IGlIRiHzHx4Nr5cXUJpos2dLLvhBWteMZKhZUnVjzBEplxm2lQ74fBVSEEELI/yE1NEKDgSNQo0cfCEVi+Ny8iq3jhiLM3y/DPjsvZy8MLTWUX9/3eh/Mhq2FTeuqfBx0NgaJs2oDIc/5uGtFN7Qp7cyvjz7+DPYNXVIbf17a4ZNhzUnJ96OAihBCCPkObIqvZN1GaDd1Dkxz2CDy43tsnTAczy+fz7DPr6F7Q/71TdQbxCsSYDN1OUwrl4VaJUDgaUCxtDYQrFl92LeaB5ytNC0U+h1/gqji5oAAeHb5A+6fph5VWY0CKkIIIeQHOOTNj86zFyNXsZJQJCfj2LL5OLNuBRRy+S9/jrbGtnA2dYZKrcJen728Zstx0d+Q5nKGIlGEwPNSqNfWA4KeILeNCY4NroJSrpb8sStefURyEU0N0PV9b/D6bgh9X7MQBVSEEELIDzI2t0CLsVNQvmV7Pn546ih2ThmNmLBfD2J6FevFv656tArRydEQmZrCecVqCE1MkBhmgGDWa3RHeyDKH+aGEuzrVwl/VtU0/lziH4xIJwN+/czGZwjyjabvbRahgIoQQgj5mV+gQhEqtemI5mMm8+1rgl77YPOYIfB7eO+XPs+meZrCw9IDMbIYrHu8jt9m4J4bjn/NY/OOiHxtgqh7ocC5mamPGVu/IJqVcORTfuviopBkK4VSrsKxFY8QE5ZI398sQAEVIYQQ8gvcS5ZBp9mLYe/ugaTYGOydNRnX92znKwJ/hkgo4lvVMFufb8WHOM2egmbVq8Nm4AB+PeiOJRJvnAdvSPWvOa2KoX/1PFALgJWyaAitpUiMlePIsodIiv/16UjybRRQEUIIIb/Iws4e7abORbGa9XiQc233VuyfMxWJsTE/9XxVnKqgbM6ykKlkWHp/aertNn36wLRG9f+K1F/eSr3PQCzCyLoF0K2iG+QC4G9FNGRSASKDEnBi9WMoFdROITNRQEUIIYRkALFUitq9B6Bev6EQS6R4++AutowdgqA3r35qReGw0sP49SO+R3AvWDONyIvU586DNIdEU6Q+chzUMlmax45vWBCdyrsiTghsM0iESgS8fxmFC1tfUDuFTEQBFSGEEJKBCletifYz/oKlvQNiQkOwY9JIPDx9/IeDmcI5CqNB7gb8etcTXdH1eFec8DsBGBvCeVATCCUqJL76gKBZs9I8TiISYkazopjZvAhCRWrsM0wGe+UX14Nw93jG9c0iaVFARQghhGQwOzd3dJy1EHlKl+cbLZ9Z+zdOLF8IeXLSDz3P6LKjUd2lOu+gfi/kHkZeHIlmB5vhRuGCcCwfCUCNqO07ELVnzxeP7VguF8bUL4C3EhXOGGmyWDcPvYXPraAMe5/kPwI1tVPNELSXHyGEkM+xX7G3D+3Fle2boFarYOPqhibDxuJ/7d0HeFPl2wbwu3sv2tKyyirQMsuSJSCCFGTvDQooS1FAQFBQBNmyFEQEARmiICgbGYKMMstoyypQRhlll9GdnO96Xr7kn7BrEdL2/l1X2uScNyfnvEnOefJOr1x50pVZcffjsCx6GX6O+hkJaQ+mvGmsc0CvdVdwN8INVjZWyD9/LpwqVHrkuSFf/YXbCamYFlQAF3bHwdrWCk0+LovcgQ/Gr8ru7nAuPyIiIssmbaFea9ISrYaNgrOHp5qqZuGQfojeJ4NJPT8/Fz/0CemDlU1XqmEVrGCFlTbJaNMgB6zyJUPTaYjt0RVpZ6Ieea6MVSVyv+GPQiG+0KdpWDczAnducDiFF4lVfkRERP+xfCVKq9HV8wQVR0piAlZO/BrbFv4EvU6X7sBq1OujMCd0Dtzs3HDHSkOnVs5I9NKQdl+P2HdbQLsUafYcZ3sb9X9+2Hm8+U4wfAPckHQvFWtnRCAlKe2FHmd2xoCKiIjoJXDN4Y1Ww0ajfIOm6vH+VcuxdORnuH9b2kKlT0X/iljZbCU8HTyR5GCFke3doLcHEuOscKVnU+MkyqJp2QfVi6sOX8LQlVGo16MknNztcePiPWyedwyanhMpvwgMqIiIiF4SG1tbvNG5Oxr1+xT2Tk6IPRaJBYP7qv/p5ePkg/Ut1sPP2Q+n3JMwrok1NGmkftIOt8b0NKbrWbMwJrQsDRtrK/weHovY5FS83bOUakt15tA17FsT84KPMntiQEVERPSSFa38OjqMngzvvAGqhOq3r4aqEqv09hNzsXPBwrcXonHhxogs6oBfazyo3ruyIQ6JE5sB53ergUZbVciH4rkeTJx8OT4R/oU88Eb7YurxvjVnOZHyC8CAioiI6BXIkTsvOnw9CcGvv6GmqZE2VasmjUFywoNefM/L38UfX7/+NRbUX4Cdtf2wp6gVoLdC9OKjSJteH1j7CaDXIYeLvUp/8/6DIRSCq+ZGmdr51P3N847i2vm7/8FRZh8MqIiIiF4RO0dH1P9gAGp36w1rG1tE792FRUM/xrXz6R+As4RPCSxp/BuO9a6DCz6AXYI1Du/2gbZ7NvBDTfg4P7jk74m5aXxO1eaFEVA8B9L+fyLlhDvmo67T82NARURE9IqHVgip+zbajhgHN29f3Lp8CYs/G4Cj2//+V+2qxoZOxanBLXDfAXCOs8XeCG8gLgJfnm4LH8Rj2YFYzNnxoN2UtY016nYvAU8/Z9y7lYz1P3DOv3+LARUREZEFyFWkGDqOnYL8pcsiLSUZ6777Bptmz0Baamq6A7ReDUdi53sVINMhux93wPGzbnBLvYZfnUbDC3cwas1RLA+PVekdnO3wdq9SsHeyxeXT8dj2ywnO+fcvMKAiIiKyEM7uHmg+5EtUbtFOIiMc3rgWv34xSM0JmN6g6oPe8xDWIEA9TtvvgcQEfxTWLuD3HDNUwPTJ0sPYHn1Nrffyd0Fo9xLykji28zKO/P0g2KLnx4CKiIjIglhb26Ba6w5oPvgLOLq64crpaCz49COcPXQgXduxsbZBYN/BqpG6TZoeF3Z6IzXRGoUSjmBo7kOQ4ac6/7QXs7efUekDSnijaotAdX/n0mhcOPq/tlaUxQKqsWPHqqj7448/Ni5LSkpCnz594O3tDVdXV7Ro0QJxcXFmzzt//jwaNGgAZ2dn5MyZEwMHDkRamvnosFu3bkW5cuXg4OCAwMBAzJs376UdFxER0cMKlq2AjmOmwK9QIJLu3cXvY7/ErqWLVY/A51Utb3UsaOGlGqnrbtzCxb35oOmAd/3P4O1S/jKiAkatOYYvV0apUivp9RdU5cHyDbMjcTsufT0Os7NME1Dt27cPP/zwA0qXLm22vF+/fli1ahWWLl2Kbdu24dKlS2jevLlxvU6nU8FUSkoKdu3ahfnz56tgafjw4cY0MTExKk2tWrVw6NAhFbB1794dGzZseKnHSEREZMojpx/ajhiP0nXqqfGkwpYtxvJxI5B4985zZZSdjR1qFg3FhBY2SHGyQ+LlVFwJ94DdvcuY3r4c3ijmq9LN23UWM7edUYUWb7QPgn8hdyQnpKmef8mJnJ7meVhp6R1F7BW4d++eKj2aMWMGRo0ahZCQEEyZMgXx8fHw9fXF4sWL0bJlS5X2+PHjCA4ORlhYGCpXrox169ahYcOGKtDy8/NTaWbOnInBgwfj2rVrsLe3V/fXrFmDyMj/jVTbtm1b3L59G+vXr3+ps1UTERE9TtS2zQ8aqackw83HF437DYF/YNFnZtaBuAN4Z/07qHLWAf2WJKjAzL+GNbxmReFuUqpqS7Uh6kHNzqimJdGxcn7cj0/GsrH7Vc+//CW98Xbv0rC2tsqSb8ydF3T9zhQlVFKlJyVIderUMVt+4MABpKammi0PCgpCQECACqiE/C9VqpQxmBKhoaEqA6OiooxpHt62pDFs43GSk5PVNkxvRERE/5USNWuj/aiJ8PTPhbvXr2HJF4NUo/VnlYuUzVlWDf4ZViAZR5sEq2VXduiQEH4Abo52mNwmBCH5PNXyz/+IxK5T1+Hi4YD6PUvB1s4a5yJvYM+fp/nGZvaAasmSJQgPD8eYMWMeWXflyhVVwuTp+eCDYCDBk6wzpDENpgzrDeuelkaCpMTExMful+yPRLSGW758D0abJSIi+q/45i+o2lUFVqwMXVqaKrFaP30SUpOTnvgcaytrtCjSQt3/MugE9kqhlt4KF7t3QOrB9XC2t8XyXlVRKo+HStN+9h7VUD1nfne82eVBABa+4TxOh6evp2F2Y9EB1YULF/DRRx9h0aJFcHR0hCUZMmSIKh403GRfiYiI/msOzi5oPOAz1OjYFVbW1moA0MWff4Jbly8+8Tnvl34fI6uNREjOsviuoY1qpJ6WYIXYD/tAG10Q1veu4Jf3KxtLqqSh+g/bTqNIBT+E1Pn/6WnmH8OtK/f5BmfGgEqq9K5evaraT9na2qqbNDyfNm2aui+lSNLYXNo6mZJefv7+/uq+/H+415/h8bPSSF2qk5PTY/dNegPKetMbERHRyyCNxys2ao5Ww76Gs4cnrp8/i4VD+iF6z64nllI1DWyKOaFz8GZQA9VIXUZST7pujys7dcCMynA9tRrLelZBjxqF1HPGrDuOpfsvoEqzwshT1BOpyTqsmxmBlCQ2Us90AVXt2rURERGhet4ZbhUqVECHDh2M9+3s7LB582bjc06cOKGGSahSpYp6LP9lGxKYGWzcuFEFQMWLFzemMd2GIY1hG0RERJYoX/FS6DRuGvIElUBKYgJWThqtJlnW63SPTW9vY49xNcbh4ybjMK2JjRpJ/fZpF9yKSgGWdoHt2v74tF4x1AnOqdIPXHYEyw9dQt3uJeHi6YBbVxKw5edjHEk9s/byM/XGG28Ye/mJXr16Ye3atWooBAmSPvzwQ7VchkgwDJsg6XPnzo3x48er9lKdOnVSwyKMHj3aOGxCyZIlVeP3rl27YsuWLejbt6/q+SeN058He/kREdGrIu2pdiz5GftXLVeP8waXRIOPBsHVK8cTn7Pw6EKcnDoG7bbpobMBPGvfRN4cSUC1j3CvxnC0mhmGY5cfdLia2jYEldxdseKbcOh1Gqo2D0TZug9GYc/sslUvv6eZPHmyGhZBBvSsUaOGqr5bvvzBB0rY2Nhg9erV6r+UOHXs2BGdO3fGV199ZUxTsGBBFTxJqVSZMmXwzTffYPbs2c8dTBEREb1KNra2qNmxKxr1HwJ7JyfEHovEgsF9EXv0f8MBPax9cHt4v/8e9hSzho0OiN3ljbgkW2DnVLiu7oWVXYNQJ/hBh62Pfz2E8PsJeL1VEfU4bMUpxJ649dKOLzPIdCVUloolVEREZAluXrqIVZNG4/qFc6rRevX276BCw2aq3dXjnIg9hEvtO8P/aiou5LVB9WoX4WSlB3KFILHjGny25hSWh1+Eva01tg96AxHLY3Bi9xU4udmh9dCKcPWyrE5j6cUSKiIiInpEjtx50H7UNwiuXktNU/PPwp+watIYJCc8vodesbwhyD/9eyQ4WCFfrA7rzpWG3toOuHwITnPfxIRQP+TxdEJKmh5nryegZvti8M7risS7qVg/KxK61OefCicry/RVfkRERGTOztER9fv0R53uvVV1YPTeXVg45GNcOxfz2KwqVKoarL8aoBqpB+++it+1moCrH3D9BGy2jkJOdweV7vfwWDXYZ/0epeDgbIu4mDvYsTSa2c+AioiIKGuSKr4yb72NNiPGqalqbl+5rMarOvrPlsemL9ukG251rqfuB/16FHsDOj9YcegXDK5oC5l55rf9sTgSGw8PXyfUebc4YAVE/nMRx8MuI7tjCRUREVEWliuwmBpdvUCZcmoewHXTJ2HT7OlIS019JG21IZNwKsQXtnrAeuJSxPu/AWg6VA7rieb+11WaTccejNtYoJQPKjYoqO5vXXwC187fRXbGgIqIiCiLc3b3QLNPv0CVlu2l6AqHN67DkuGDcOfa1UdKtXRDe+O8D+ByJwU7lp3BCZecwM0zGBs/EOWtTuDbLacw/e9Taiyqim8XUJMn61L1WD8rAkn3Hw3SsgsGVERERNmAtbUNqrZqj+affglHVzfEnYnGgk8/QsyhA2bpmpZuC5dvRiLB0RqFYtOwOdwRs31zAfpkLHCdhhCrU5iw4QTe+3m/qvKTqj93H0fcuZ6EjT9FQdNnz8EDGFARERFlIwVDyqPT2KnwK1QESffuYvnYL7Fr6SLo9f8bXf31Si2Rd9I30KyAWgfTEBltg775CsAp9Rb+cBiOHjarsOnYVTXnnzROr9+zFGzsrHE+6ib2rnl8w/esjgEVERFRNuPumxNtvxqvGq1D0xC27BesGDsCCXfijWn83qwH348/Vve7/aVH3BUdhhYujRQAQ+x+QTPr7ZizIwYztp6GT1431OpQTKXdv+YszkY8aG+VnTCgIiIiyoZs7ezUsAoyvIKtvQPOHg5XQytcPnXCmMbn/ffhFlpXNVIfsFyHnfG30LpAYRy3t8Mk+5loa7NFVf+tjbiMYpVzoVTNPOp5m+Ydxd2bSchOGFARERFlY8VrvIn2X38Dr1y5cff6NSwZPhiH/lqrGp1LI/Xco0fDPjAQXveBwX9Y4ZwuBW3z5MJIb08MdvpVbaPfr4cQERuPai2LwDfADcn307BxThR0uuwz6CcDKiIiomzON6AAOoyejMCKVaDXpWHznBlqeIXUpCRYu7gg3/TvYO3urhqpDwvLBWlttdTdDa1yuaFmUXskp+kxbUu0akcV+l4J2Dva4PLpeOxdmX3aUzGgIiIiIjg4u6DxgKFqkmWZA/DY9r+x6LP+am5A+/z5keebiWrIheAdsZif2E7lWJytLW7ZjwOskrHxaBxWHr4ED19n1OoUrNaHbziHc1E3skXuMqAiIiIiRar4KjRqjtbDRsPF0ws3Ys9j0dCPcXLPTrhWr25spO40fQkmXPKGs16PGF0ciub/AYAefX85iG0nryGwfE6UNLSnmnsU924lZ/kcZkBFREREZvIWL4mOY6cib3BJpCQmqsmVty6YA8+u78ItNBRITUWhNTr8EGcFe72Gy06XUKXQL+q5XX7ai0u3E1GtZSB88rki6V4q/poTCX0Wb0/FgIqIiIge4eqVA62Gfa1KrMSB1SuwbNTncB/0CRyKFIHu+nV4HgjC50lOan2kQwSCvVYD0PDu3H2Qyf9Cu5eEnYMNLp+Kx97VWbs9FQMqIiIienyQYGOj2lQ17j8U9k5OuHg8CotGfAqr/n1VI/XEiCiUCw+GR9qDQUFj/XegdN5xiL56DT0XHoCnnzNqdQxS6w6sP4cLR29m2ZxmQEVERERPVaRSVXQYPQU+AQWQEH8bK2ZNw/VObQA7OyRs34f54ZXRI8kWNpqGGLfbKFLwK+w8eVRNTxNYISeKV88tBVfYODcK9+OzZnsqBlRERET0TDly50H7URNRvHotaHo9du/YgqNv10KqvR1SNoehxfn6mJPzTbjo9bjkoIdv/m+x8XgMpmyKRvVWReCdxxWJd1PVfH/6LDjfHwMqIiIiei52Do6o16c/6nTvAxtbW5w9exp7XiuFO84OuP37CuQ56I8FeZvAUa/HLYdkeBeYhm//jsSRK3fU+FS2Dja4eOI29mfB+f4YUBEREVG6hlYo81Z9tB0xHm4+vrhzNx5hQfkR6+WKWwsWwOOgB76z8oeHTocUh9twDfgezWduwpnkZLzR/sF8f/vWnkXs8azVnooBFREREaWbf2BRdBo7FQVCykOn0+FIgB8i8vjg6tz5cJ94FbOWpCLPvTRoTldQKmAMui74BzYFXRFcNdeD9lQ/HUXCHZlqOWtgQEVERET/ipObO5oP/gJVW3VQo6hf8PHA7iJ5kWAFWJ23xaQZGuod1OGsUyqQdxjem78DVVsXQY7cLiqYykrtqRhQERER0b8m09RUadkOLT79Eo6uboh3skdYuSDcyJcbVjordF2voc8qHexSNZSzHY5vtxxDrXeDYWtvjdjjtxC+/myWyH0GVERERJRhBULKqypA/8JFkJyUiD3ezjj/Vk1o1taoGanhi8U67HBOgNXh3mi9eD8C6wWo5+1dFYPbVxMy/TvAgIqIiIheCHffnGgzYjzK1G0AaBoir8YiomFtpObwROBl4Ov5OvzudRNldN9j4IHT8An0kGQ4uTcu078DDKiIiIjohbG1s0Odbr1Q/4MBsLV3QOy5MwgrUQi33V2R5yYwcJke+32jUBh/4p/kByVT0fvioElklYkxoCIiIqIXrnj1Wujw9TfwypUH9+7EY3fhXDif2wdBsUCnv4CT+bYi0X4cYGOF23EJuHb+bqZ+FxhQERER0X/CJ6AAOoyerKau0ev1iPT1wOGAnKgeBUydqYPXhRhcdzmi0p7cl7mr/RhQERER0X/GwdkZjfoNQc1O3VSPwEtebtgVmBcuiXboslmPy/a7VbojOy9m6iEUGFARERHRfz66eoWGzdB6+Gi4eOXAPSd77CyaD9ddXfDh75Gw0iVAS9Rj3cboTPtOMKAiIiKilyJvcEk1tELe4iWhs7bCwQL+OOHvAf+4/Wp97J9/ICz6aqZ8NxhQERER0Uvj4umFVp9/jYqNW6jHMTk9cdVmPzT9PSC5OCKndMGR2NuZ7h1hQEVEREQvN/iwsUGNDu+i8Sefwd7JGfftgZT4n5GMGygQ6Y5V3zfClVt3MtW7woCKiIiIXokiFaug45jJ8A0oACAFb7g7wzr4LZTf64jRC2vjdnzmGUrBSsvsI2lZiDt37sDDwwPx8fFwd3d/1btDRESUaaQmJ2HnhAUIvBekHuu0NJy9F41o79+Qq8V8NCiTx+Kv3yyhIiIiolfKzsERNQZ3xfWCybieHAcbK1sUdgtG7aQhsP9xBRISkyz+HWIJ1QvCEioiIqKMk4qz/ZOWwiHWGjkc/NSya0lxyPNhJeQsnA8vGkuoiIiIKEuOWVVxQGsUG90Q0feOqmW+jn5I+fEsIjfshKVilR8RERFZHAcnR9T6rgeOpx02LnPcdB83Ll6CJWJARURERBarzsQPcMh9P1L1yXC0ccLR0WuRmpICS8OAioiIiCxaw6H9EKWFQ6/pkYIk1c7K0jCgIiIiIovXcMIgxBQ7h9rTP4C9gwMsDQMqIiIiyhRqdu0MS8WAioiIiCiDGFARERERZRADKiIiIqIMYkBFRERElEEMqIiIiIgyiAEVERERUQYxoCIiIiLKIAZURERERBnEgIqIiIgogxhQEREREWUQAyoiIiKiDGJARURERJRBDKiIiIiIMogBFREREVFWDqjGjBmDihUrws3NDTlz5kTTpk1x4sQJszRJSUno06cPvL294erqihYtWiAuLs4szfnz59GgQQM4Ozur7QwcOBBpaWlmabZu3Ypy5crBwcEBgYGBmDdv3ks5RiIiIsr8LDqg2rZtmwqWdu/ejY0bNyI1NRV169bF/fv3jWn69euHVatWYenSpSr9pUuX0Lx5c+N6nU6ngqmUlBTs2rUL8+fPV8HS8OHDjWliYmJUmlq1auHQoUP4+OOP0b17d2zYsOGlHzMRERFlPlaapmnIJK5du6ZKmCRwqlGjBuLj4+Hr64vFixejZcuWKs3x48cRHByMsLAwVK5cGevWrUPDhg1VoOXn56fSzJw5E4MHD1bbs7e3V/fXrFmDyMhI42u1bdsWt2/fxvr1659r3+7cuQMPDw+1T+7u7v9RDhAREdGL9KKu37bIRORgRY4cOdT/AwcOqFKrOnXqGNMEBQUhICDAGFDJ/1KlShmDKREaGopevXohKioKZcuWVWlMt2FIIyVVT5KcnKxuD++bvDFERESUORiu2xktX8o0AZVer1cBTrVq1VCyZEm17MqVK6qEydPT0yytBE+yzpDGNJgyrDese1oayeTExEQ4OTk9tn3XiBEjHlmeL1++DB8rERERvVx3795VJVVZPqCStlRSJbdjxw5YgiFDhqB///7Gx1I9mD9/ftUAPiNvSFYiAakEmBcuXGA1KPOEnxN+b3gu4fnVIq85UjIlwVTu3Lkz9PqZIqD64IMPsHr1avzzzz/Imzevcbm/v79qbC7BjGkplfTyk3WGNHv37jXbnqEXoGmah3sGymN5Qx5XOiWkN6DcHibBFNtQmZP8YJ4wT56FnxPmBz8j6cfvzYvJkxdREGLRvfwkapRgasWKFdiyZQsKFixotr58+fKws7PD5s2bjctkWAUpJapSpYp6LP8jIiJw9epVYxrpMSiZXbx4cWMa020Y0hi2QURERJRpS6ikmk968P35559qLCpDmyeJJKXkSP5369ZNVb1JQ3UJkj788EMVCEmDdCHDLEjg1KlTJ4wfP15t4/PPP1fbNpQw9ezZE9999x0GDRqErl27quDtt99+Uz3/iIiIiJ5Js2Cye4+7zZ0715gmMTFR6927t+bl5aU5OztrzZo10y5fvmy2nbNnz2r169fXnJycNB8fH23AgAFaamqqWZq///5bCwkJ0ezt7bVChQqZvcbzSEpK0r744gv1n5gn/Jzwu/Nv8VzCPOHnJHN+dzLVOFRERERElsii21ARERERZQYMqIiIiIgyiAEVERERUQYxoCIiIiLKIAZUTzB27FhYWVmZzeeXlJSkhlvw9vaGq6srWrRo8ciAoDIGVoMGDeDs7Kwmch44cCDS0tLM0mzduhXlypVTwzYEBgZi3rx5sFQXL15Ex44d1THLUBUyL+L+/fuN66VPw/Dhw5ErVy61XuZEjI6ONtvGzZs30aFDBzWshQzAKkNd3Lt3zyzNkSNHUL16dTg6OqqRbmWIC0uk0+kwbNgwNSaaHG/hwoUxcuRIszmgsnqeyAC7jRo1UqMKy3fkjz/+MFv/Mo9/6dKlav5OSSOfzbVr18LS8kTmG5UJ2GX/XFxcVJrOnTurCduza548TIaukTRTpkzJsnnyPPlx7NgxNG7cWA0JJJ+VihUrqmtKVr0G/fOMPJH3WsailAG95VwiQyDNnDnTLI1F5ckr6Vto4fbu3asVKFBAK126tPbRRx8Zl/fs2VPLly+ftnnzZm3//v1a5cqVtapVqxrXp6WlaSVLltTq1KmjHTx4UFu7dq0apmHIkCHGNGfOnFHDO/Tv3187evSo9u2332o2Njba+vXrNUtz8+ZNLX/+/No777yj7dmzR+37hg0btFOnThnTjB07VvPw8ND++OMP7fDhw1rjxo21ggULquEsDOrVq6eVKVNG2717t7Z9+3YtMDBQa9eunXF9fHy85ufnp3Xo0EGLjIzUfvnlFzXExQ8//KBZmq+//lrz9vbWVq9ercXExGhLly7VXF1dtalTp2abPJHP9WeffaYtX75cDWOyYsUKs/Uv6/h37typvjvjx49X36XPP/9cs7Oz0yIiIjRLypPbt2+rc8Kvv/6qHT9+XAsLC9Nee+01rXz58mbbyE55YkrWy3Hnzp1bmzx5cpbNk2flh5xXc+TIoQ0cOFALDw9Xj//8808tLi4uy16D1j4jT9577z2tcOHCalgjOd/K+yr7KvliiXnCgOohd+/e1YoUKaJt3LhRq1mzpjGgkpOifAnlAmpw7Ngx9SGQE6Thw2Ftba1duXLFmOb777/X3N3dteTkZPV40KBBWokSJcxes02bNlpoaKhmaQYPHqy9/vrrT1yv1+s1f39/bcKECcZlkk8ODg7qxCbkwyl5tG/fPmOadevWaVZWVtrFixfV4xkzZqhxxAx5ZHjtYsWKaZamQYMGWteuXc2WNW/eXJ3Qs2OePHwSfJnH37p1a/V+mKpUqZLWo0cP7VV6WvBg+qNN0p07dy5b50lsbKyWJ08eFQzJjzfTgCor58nj8kOuAx07dnzic7L6NQiPyRPZz6+++spsWbly5VQQZol5wiq/h0jRoRQNSjWFqQMHDqiie9PlUoQcEBCAsLAw9Vj+S3Gyn5+fMU1oaKiasDEqKsqY5uFtSxrDNizJypUrUaFCBbRq1UoVk5YtWxY//vijcX1MTIwaed70eKSoulKlSmZ5IkX1sh0DSW9tbY09e/YY09SoUQP29vZmeSLTCN26dQuWpGrVqmqaopMnT6rHhw8fVhN2169fP9vmiamXefyZ6bv0sPj4eFXFYZiDNDvmiV6vVzNYSPVLiRIlHlmfnfJE8kJm5ihatKjaNznfynfGtAosO16Dqlatqq5D0vREYq6///5bnXtlBhRLzBMGVCaWLFmC8PBwjBkz5pGMkouEfGlNJ2EW8iYZpsSR/6ZvmmG9Yd3T0sibm5iYCEty5swZfP/99yhSpAg2bNiAXr16oW/fvpg/f77ZMT3ueEyPV04OpmxtbdVUQenJN0vx6aefom3btupLK/NISpAp7eyknUd2zRNTL/P4n5TGkvPH0OZD2lS1a9fOOIFrdsyTcePGqWOUc8rjZKc8kblmpb2QtN2tV68e/vrrLzRr1gzNmzfHtm3bsu016Ntvv1XtpqQNlRy75M306dNVEG2JeWLRc/m9TBcuXMBHH32kJkWWhov04FeT/DocPXq0yg4JHiIjI1WjwC5dumTLLJI5HhctWqTmmJRf1YcOHVIBlTSqzK55Qs9Pfk23bt1a/dqWHyvZlZQsTJ06Vf2AlZK67E7OtaJJkybo16+fuh8SEoJdu3ap823NmjWRHX377bfYvXu3KqXKnz+/asQutUhyvn24RMkSsITK5AsuvxKklb/8CpKb/DKYNm2aui/RakpKCm7fvm2WgdKbwN/fX92X/w/3LjA8flYa+aUqvRgsifTSkl8HpoKDg429TgzH9LjjMT1eyVdT0rtCeu+kJ98shVRPGEqppBhZqizkBGgo1cyOeWLqZR7/k9JYav4Ygqlz586pH26G0qnsmCfbt29XxytVM4bzreTLgAEDUKBAgWyXJz4+PioPnnW+zU7XoMTERAwdOhSTJk1SPQFLly6tevy1adMGEydOtMg8YUD1/2rXro2IiAhV4mC4SemMVOUY7ksVj7SfMZB6evmwV6lSRT2W/7IN05OA4cRp+KJIGtNtGNIYtmFJqlWrpo7RlNRfyy8FIUMHyAfR9HikiFTaN5jmiXzYJWA12LJli/pFJm0EDGnkl4dccEzzpFixYvDy8oIlSUhIUG04TNnY2Bh/YWbHPDH1Mo8/M32XDMGUDB+xadMm1cXbVHbLE/khIsMdmJ5vpdRBfrBI84LslidSbSVDJDztfFu+fPlsdQ1KTU1Vt6edby0uT9LVhD2bMe3lZ+ieGRAQoG3ZskV1z6xSpYq6Pdw9s27dutqhQ4dUl0tfX9/Hds+UrrHSG2H69OkWO2yC9ESytbVVQwVER0drixYtUvu+cOFCsy7ynp6eqhvrkSNHtCZNmjy2i3zZsmXV0As7duxQvShNuz5LTw3p+typUyfV22fJkiXqdSxhiICHdenSRfVKMgybIN19pQuu9BLJLnkiPWGl+7Hc5BQyadIkdd/QY+1lHb90h5fP58SJE9V3SWaZf1VDBDwtT1JSUtTQEXnz5lXnhcuXLxtvpr3TslOePM7DvfyyWp48Kz/kXCL7NWvWLHW+NXTdl+Eisuo16O4z8kSuwdL7ToZNkP2eO3eu5ujoqHp3WmKeMKBKR0AlF4TevXurbrqS+c2aNVMnRVNnz57V6tevr8ZCkQvtgAEDtNTUVLM08uEICQnR7O3ttUKFCqkPiaVatWqV+jBKt/egoCD1ZTcl3eSHDRumTmqSpnbt2tqJEyfM0ty4cUOdBGW8Jumq+u6776ovkikZr0iGaJBtSMAiF2VLdOfOHfWZkC+wfLHl/ZMuvKYXxqyeJ/L5lZPfwzcJNl/28f/2229a0aJF1XdJTrxr1qzRLC1PJPB+3Dq5yfOyY548b0CVlfLkefJjzpw5aqwtObfI+FsylpuprHYN+vsZeSLHJuMgyhhlkicyHMY333yjzjGWmCdW8if9hXFEREREZMA2VEREREQZxICKiIiIKIMYUBERERFlEAMqIiIiogxiQEVERESUQQyoiIiIiDKIARURERFRBjGgIiIiIsogBlRElGWcPXsWVlZWam645/Xll18iJCTkP90vIsr6OFI6EaXLO++8g/nz56v7tra2yJs3L1q1aoWvvvoKjo6OrzQ3dTodrl27Bh8fH7Vvz+PevXtITk5+ZMJiIqL0eL4zDhGRiXr16mHu3LlqNvgDBw6gS5cuqmRo3LhxrzSfZCZ6f3//dD3H1dVV3bKqlJQU2Nvbv+rdIMryWOVHROnm4OCgApd8+fKhadOmqFOnDjZu3Ghcr9frMWbMGBQsWBBOTk4oU6YMli1bZly/detWFYBt2LABZcuWVWnefPNNXL16FevWrUNwcDDc3d3Rvn17JCQkGJ+3fv16vP766/D09FQlSg0bNsTp06efWOVneJ3NmzejQoUKcHZ2RtWqVXHixIknVvlJCZwc08SJE5ErVy71On369FHBo8Hly5fRoEEDtd9yjIsXL0aBAgUwZcqUp+bb7Nmz1bFJSV5QUBBmzJjxyL4vX74ctWrVUvsq+RYWFma2jR07dqB69erqtSX/+/bti/v37xvXy36MHDkSnTt3Vnn4/vvvq+U//vijSi/bbdasGSZNmqTy0fDa1tbW2L9/v9lryfHkz59fvZ9E9Az/dpZoIsqeZCb4Jk2aGB9HRERo/v7+WqVKlYzLRo0apQUFBWnr16/XTp8+rWZud3Bw0LZu3Wo2y3zlypW1HTt2aOHh4VpgYKBWs2ZNrW7duurxP//8o3l7e2tjx441bnfZsmXa77//rkVHR2sHDx7UGjVqpJUqVUrT6XRqfUxMjNqurDN9Hdk3ee2oqCitevXqWtWqVY3b/OKLL7QyZcqYHZ+7u7vWs2dP7dixY9qqVavULPazZs0ypqlTp46amX737t3agQMH1H7LTPaTJ09+Yr4tXLhQy5Url9r/M2fOqP85cuTQ5s2bZ7bvkm+rV6/WTpw4obVs2VLLnz+/lpqaqtKcOnVKc3FxUa9z8uRJbefOnVrZsmW1d955x/g6kl72f+LEiSq93CSPra2ttQkTJqjtTp8+Xb22h4eH8XlvvfWW1rt3b7N9Ll26tDZ8+PDn/mwQZWcMqIgoXSTgsLGxURd2CZIkCJCLtQQ7IikpSQUgu3btMntet27dtHbt2pkFOps2bTKuHzNmjFomAZhBjx49tNDQ0Cfuy7Vr19RzJKh7WkBl+jpr1qxRyxITE58YUElQkpaWZlzWqlUrrU2bNuq+BFny/H379hnXS4Any54WUBUuXFhbvHix2bKRI0dqVapUMdv32bNnG9dLACjL5DUNefj++++bbWP79u0q/w3HI/vetGlTszSy7w0aNDBb1qFDB7OA6tdff9W8vLzU+yckULSyslL7RUTPxio/Iko3qZKSarU9e/ao9lPvvvsuWrRoodadOnVKVdO99dZbxvZJcvv555/NqudE6dKljff9/PxUdVShQoXMlkk1oEF0dDTatWun0kh1llRvifPnzz91f01fR6rxhOl2H1aiRAnVHsv0OYb0Ul0oDd7LlStnXB8YGAgvL68nbk+q5OTYu3XrZpYno0aNemqePLyvhw8fxrx588y2ERoaqqrkYmJijM+T6k1Tss+vvfaa2bKHH0s1pxzzihUr1GN5HXmfDXlMRE/HRulElG4uLi4qiBA//fSTauszZ84cFTBIrzmxZs0a5MmT55G2V6bs7OyM96X9kOljwzLT9juNGjVSbXqkPVDu3LnVupIlS6qG10/z8OuIp7ULetZ+pJchT2S/K1WqZLbONHB71r7Kdnr06KHaTT0sICDA7P1JL2m4Lu2upLNB8+bNVbuwqVOnpns7RNkVAyoiyhBpzDx06FD0799fNSIvXry4Cpyk1KhmzZovLHdv3LihSlokKJFG2YYG2i9bsWLFkJaWhoMHD6J8+fLGUrlbt2498TlS0iYB4JkzZ9ChQ4d//dpSKnb06FFjMJuefd63b5/Zsocfi+7du6sAVRrLyzFKYEVEz4cBFRFlmIxDNXDgQEyfPh2ffPKJuvXr10+VrEivvPj4eOzcuVNV00kV4b8hVWrS427WrFmqKkwCtk8//fSlv3vSO096NUrvue+//16VKA0YMED1ujOUKD3OiBEjVMmSh4eHGnZCxr6SXnUSiEkw+jwGDx6MypUr44MPPlDBj5RESYAlPSy/++67Jz7vww8/RI0aNVTPPinl27Jli+pN+fD+Sg9E2b68TteuXdUxEdHzYRsqIsowaVMkF/nx48er9kLSbX/YsGFq6AS5SEsAIVWAMsRARkrClixZosa9klIUCdgmTJjwSt49aQ8mpU4SpMgQBO+99x7c3NyeOrCpBEAybIJUqZUqVUqV3kk7pfTkibSv2rZtG06ePKlK6WTIieHDh6vSr6epVq0aZs6cqQIqqZ6V4Sck/x63v1JtK1WoElAR0fPjSOlERBkUGxurxnjatGkTateunSnyU4LA48ePY/v27WbLJRheunQpjhw58sr2jSgzYpUfEVE6SZWZNBCXkiYZ5HPQoEGqN5yUWFkqGahUel5KNaFU98n0QaYDi8rxyACfUnUovQ+JKH0YUBERpZOMmi4N8aWRuVT1yejrixYteqR3oCXZu3evqpK9e/euGnZi2rRpqhrSQKpsf/nlFzV8Aqv7iNKPVX5EREREGcRG6UREREQZxICKiIiIKIMYUBERERFlEAMqIiIiogxiQEVERESUQQyoiIiIiDKIARURERFRBjGgIiIiIkLG/B8lC/bWgCnxKwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_pareto(res, wmin=4000, tmin=2000)" ] }, { "cell_type": "markdown", "id": "cd70f3d0-0d6e-4e2c-b52f-b5d68131c216", "metadata": {}, "source": [ "- Here all choices lead to a viable path.\n", "- Strong quantization ($S\\leq 16$) finds solutions but with poor quality.\n", "- Low quantization seems to converge to the optimal Pareto front." ] }, { "cell_type": "markdown", "id": "fcaf4013-ac5f-4d91-90b7-51efd824d2de", "metadata": {}, "source": [ ":::note\n", "The _tight_ scenario we just saw can be interpreted as a zoom of the bigger budget on an area that preserves some fixed quantities of the resources. More precisely, if we zoom to keep $32000-21800 = 10200$, we get the tight budget.\n", ":::" ] }, { "cell_type": "markdown", "id": "2a020f3d-057c-45a0-bb00-de291dbec1d0", "metadata": {}, "source": [ "## Middle budget" ] }, { "cell_type": "code", "execution_count": 7, "id": "004967e2-35cc-449e-b0cd-4f293278c16b", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:15:53.074075Z", "iopub.status.busy": "2026-02-06T07:15:53.074075Z", "iopub.status.idle": "2026-02-06T07:19:46.010619Z", "shell.execute_reply": "2026-02-06T07:19:46.010105Z", "shell.execute_reply.started": "2026-02-06T07:15:53.074075Z" } }, "outputs": [], "source": [ "res = pms_trajs(w0=25000.0, t0=25000.0)" ] }, { "cell_type": "markdown", "id": "f475c367-7f3f-42e1-8162-cc11ba37a905", "metadata": {}, "source": [ "Let's look at the result!" ] }, { "cell_type": "code", "execution_count": 8, "id": "e806d2e3-b2c4-4c16-99d6-d20422c613bc", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:19:46.012047Z", "iopub.status.busy": "2026-02-06T07:19:46.012047Z", "iopub.status.idle": "2026-02-06T07:19:46.133629Z", "shell.execute_reply": "2026-02-06T07:19:46.132622Z", "shell.execute_reply.started": "2026-02-06T07:19:46.012047Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_pareto(res)" ] }, { "cell_type": "markdown", "id": "759cbd64-fe8f-4c63-a91c-25908104020c", "metadata": {}, "source": [ "Let's look at the result!" ] }, { "cell_type": "markdown", "id": "14cd7b6c-a576-415d-9467-d0a135f5ed1e", "metadata": {}, "source": [ "## Trajectories" ] }, { "cell_type": "markdown", "id": "ffbfdeff-150b-4343-aeab-6e3b1458073a", "metadata": {}, "source": [ "Best weight preserving trajectory:" ] }, { "cell_type": "code", "execution_count": 9, "id": "001d5730-f1c6-4fa0-9706-9320eae562f6", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:19:46.134630Z", "iopub.status.busy": "2026-02-06T07:19:46.133629Z", "iopub.status.idle": "2026-02-06T07:19:46.203657Z", "shell.execute_reply": "2026-02-06T07:19:46.202647Z", "shell.execute_reply.started": "2026-02-06T07:19:46.134630Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, trajs = res[0]\n", "trajs.plot_traj(0)" ] }, { "cell_type": "markdown", "id": "bfdc904b-fc27-4372-b4db-458b0a483360", "metadata": {}, "source": [ "Best time preserving trajectory:" ] }, { "cell_type": "code", "execution_count": 10, "id": "57233689-d046-4423-b334-f0c7b338ebb1", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:19:46.204798Z", "iopub.status.busy": "2026-02-06T07:19:46.203657Z", "iopub.status.idle": "2026-02-06T07:19:46.280855Z", "shell.execute_reply": "2026-02-06T07:19:46.280855Z", "shell.execute_reply.started": "2026-02-06T07:19:46.204798Z" } }, "outputs": [ { "data": { "image/png": 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RuG7aiAKr/wepqysSAwLwYfwEvOnWHTGPHqv9+ARBEJptJaDCSrzZGR/y57MqmZFmBBnplwGTkGqYSEwzfl2a+jwZMPqBraktNjbZmNYMcvRfo7Hyzkokq7kOAZddN2oEt5NecBwzBkZmZoi5exevO3XCx2nTkBgcrNbjEwRBCLMSr5IGjMpCSCIFo0goHhjTjF+XGzYJqdvpGMIKIekIrOjd8obL0aN0D76+8eFGTLw0EXEsjqpmRCYmcBj0M4qeOQ3rli35r4vQg4d4t+uQ7dt5mIkgCMIgQkhpheyUyIHRlAGTrqFjgrA9MBLywKgOHdKhS0VSTKwxEXPqzOEF8Lxfe+PnP36Gf5S/Zo7v4oL8ixeh0J7dMC1TBskREfg0fwF827ZD5JUrGhkDQRCEdpN4VWB8yFVCKjVgpMLywEiyCSGRB0Y/aVOsDdY3Xg9LqSXuBNxBhxMdNJIXI8e8ShUuu3b5bRbEefIg3scH7/oPwLvhwxH/7p3GxkEQBKH5JF4lDCZtemB0vR9SYpygk3j1Tkbt9zkaMfGavWjyiEpjQc1NWHZ/JnzCn/K8GM9i/dGpaF+IlL3gv5f67kCVOjDatgmyowcR+ed5RF66DCPP7hB178NzZgwZGzMpnKy//ZURm5CEdyFZ1H/4ClOpGK525ume+xAag6g4Hf+lJUDMTSTIb6v8dRsZl4iPoboZqzcUrCPi4QwgKi4eHz5F5Ho/9pGxsAPwOSYBQVnsxzI8Hqz0XHR8At5nsp1teAwcAYTHJeFTBtsUTgaYv+RtcATiJBnvwyQoEgXZfVwGvFLicxUxEvOb65vAUMQn5X4e1I1TeDhsAATFivA5g8/lEC9CHuaAiYvmc6RrSPQphLT7xhtMOfoI2qMnTJxPw9juCva/3Ixdd64j9kNnQKbJOgDVULB+AQx+eByVA19AtnMrPh08gk3lWuLv/JV0KgynSdjH3tnvB9Qt7pD2XHKyDM2WX8KbYOUNGMZUj9IYUM+NPz754AOG77mr8vESKfzesQI6V3PNdjqi4xPx4+9/ISQqnqZOi3QUP8diKXDDNxj9ll3K9X4mSd5hsAQ4cPs95t/IfD/uoqdYaww89AuFZybHGyz2wSQp4P04ABPuf7vN38ZxKCQCRu+9gzuy1KJ3X1HOyBcnTYCAyAQ0UeJz3TRJhpMRMHjHTTyRfYKuslz6Fm3FwNor77H50refa4wkAKMkgNctH7RumgyJWLfSZoVlwGTDfx/C+V9TqQjmxlr6aJEdkCxzRZLdQUitH0NquhaSwP4wSrLX3BAsCmKxy3BU83uA7rePwikqBJNu7UbbN9ewo1oHvLHL/oagT0TGJiI+KRlP/cPTGTBR8Ylpxksec2m2LSKYZy8mIQn/fUy5zhSvOROJCBYmevXfSaswgyQ2IRlPFOY6K/zDYtOMFzsL6h2mLcySpTx9xUQM2H1HDzfzZKOU/UglsDPJfD8WMimQDBiLMj/vFskivi9pZvtKSsmBsTGTwM4o433YyiT8OEZGIqWur6SklO8COzOjTPepC1izXki8J58Z7ETfjlOUbMbnLjEuhns4bc1167MI7Bs36xtMUnJK3HV4w2IY/lNxaI8muBfggTEXxyAI/rBw+x+v5lvdpbqGx9EUybHDEbJ1K4I2bESpQF/M814M286d4Th6FCR5mHNQ/xl34D4O3/FLuz7kKK7/O6Vxtr8uNl32xZxTT9K9T/64V61CmOJRRuVjN1SW/vEMKy+8/OacZYZ8O2aI3pnWRM2jIzLlfghwFKhT1A53en7HeTh7EbgG9KldBH2aZLGfJ7HAfqCyqw3u9M9ku0v3gAtAu8oF0K51BtussgSCga29qwKFame8D788wCYgr6057oxW4nMttwBCg7C7bzXAVdPf+zlg1zrgJTCldWVMqfzt55JdfQb8AZgYJSBRyf+LmkS3/EHfSUJSygSLmQ5fy1RyqsSL3pWzL4ewuDD8fO5nnHl1RuPjEJmawmHIEBQ9fQrWLVqkyK7374dPs+YI2bkLskT9z92QiFIM36//A8qvF4Y4dRul9qPwPl265vQJ+XwqnqOsoPOgI6Ql1epQHRiVFrLLaRKvQGTU0oxVSEapyb2miE/3vacrCOtbNxsXf1JyykUmFetGnoezhTO2uW9D00JNkZiciAmXJmD57eVI0MJFLc2bF/mXLkGhnTtgUqoUksPD8WnuXLxq1w5R165Bn5GkXg9f/weU/2pnhokyHcblHprE1OtMF685fTtn8vnNDvm5pPOgL80cda2VQA4NGLHQZNRmGb+uaMAo+X9Rk4j0KYSUoHBD0hVMxCZYVH9RWtG7zY82o//Z/giKCdLKeMyrV0eRw4fgMnMmxLa2iHvxEm/79oPfiJGI93sPfUSageHBSEhKTnezzH4/GXhg0q45gf1X0nEymuusSEjO2bkk1I1MM60EdL2Qnc4bMHFKVeI1NSIPjPrPReoNSaxjmdJMSs2K3i2uv5jXi7kbcBfdT3XHs5BnWhmPkViMPF08UdT7DPL06MEmDBHnzsHXwwOBK1ciOUa/pKjy8NDX4YjEHBofaWENhVCU/JqjG6dqyWius0Ju6JAhqWWE2MxRpM5KvDpuwCQo54ExIQ+MJkJIqW5kHfLAKNKscDPs8diDglYF8SHqA7qe6ortj7drras088C4TJ2CIkeOwPyHHyCLi0PQmrXwaeGB8NOn9abbdWbhCPl6Tj0wivv5YgTp5jUnVDKa66yQe9foPOhJCEmTlXiVMbr01gMTq5wHBpTEq3a+JPLp7s2kiE0R7G6xG/UL1Oe5MItvLcbUK1N5joy2MC1ZAgW3bUX+FSsgzZcPiR8/4v3YcXjbsxdinz6F0JFk4oGRryt708vIk5MogGtOn7xmmUHnwVCTeFUZQkrKfSJwpjkwup7EG6N8Dgwl8X4vSnpgdCyElFFH61U/rcLUH6ZCbCTGCZ8TGPPXGMRqsVwzS2K1btYUbqdPwWHEcBiZmiL61i28at8BH2fNQuLnzxAq8rBCZjJqZcMOGe1HKNec0JBmcs4yg86DgSfxZpVzk7avTO4fBp0DE5vyV5JJsdXU53kODMmo1RtCymlSpjZhBoNnKU9eH4Yl+l70u4gBfwzQWnKvouzacdgwLru2cm/OytUidO++lG7Xu3cLUnadlhCqsiTeZEFec0JCPp/y+c0OOg+6goqaOaZ5PKCBXkg5aeZopD85MDLZFw9MNr2QUjwwpEJSK4qyWKHQsGBDrGu8DlZSK9wPvI9up7ppLblXERZKKrBsGQpu3w6TEiWQHBaGT7PncI9M1I2b0IeaIjnNX8korCHEa04IyOdaWbc15SLpCMp4RHS1Dsz37EOIHpgkFt6SKdWN2gQJSodzNYmeyqiF9bGquVTDLo9dPLn3Y9RH9DrTCxffXYQuYPFDDRQ5chjO06dBbGODuOfP8bZ3b/iNHoOE9+8FlhD6lQEjz4FRMvwjDxMp7keo15yuk9FcZ0VOFWWEroeQtJHEq44QUoLu14BRwgNjZhSPJB30wAislYCyMmrh/Rp2s3HjCqVxF8fhhv8NjLwwEiMqj0C/cv0gFqW6OLWEkUQCu27dYO3ujqBVq/B5335EeHsj8q+/YD9wIOz794NIh7tdf/GcJH+XciVtPxkUsqMQkmrJaK6zguTsepbEK/cMKO2BUUESryor8Yp1wAMTFQScGgtEBWf8eppxZQSIM+lxpKBOKneuC3AlE0+NlQvQajlgYgVNIiwDJpv7zBcZtTB/hdmY2GBtk7VYcGMBDjw/gJV3V+LKhytYUG8BXCxctD083jvJZfp02Hp64tOcuYj+918E/e9/CGUemgkTYdWsqVIVbTWN3MPyjQdG/qs9xzLqb1sJ0C9/zXjNMoNCSAaaxKtMzk22BowK9pGpByYLo0jdPD0J/Hc8++1sC2ae22NsiTAja9jIwmEbeCvr/ZRpA5RpDU0i0asQktwDI+B8BKlIiqk1p6KsQ1ksuLkAtz/dRvfT3bG28VqUyFMCuoBpyZIouGM798J8+n0REj98xPvRo2Feowacp0zhsmwhyKi/SG9zVshOMS8jUQ+uOX3ohZTTc0moCWWMAVVW4lVJITux8l6cbLOK5fuUKuSZaInoVM9LkR+Bav0y365AjcxfE4kxyX4FjD7cxcAf3VDZ1fbbbS4vAfwfAvFR0DQCM2AMox8K82K0L94e1Z2rY8SFEfAJ80GfM32w4qcVWuhonYXs2t0dlg0aIHjTZgRv2oTomzd5b6U8XbrAceQIXihPlwyYzArZKVv48EtTyGS9u+Z0Dfk5Ub4XEvWk0g2MdDCJ10BbCcSklr5wqQCUbZfr3YRI8+JGsgla5KuMymXzfbvBg4MpBoxiTo2G0DMZdc6SMnUdV2tXbHffjipOVRCREME7Wu9/ul+nKuSy3BfHEcPhduoUrJo25bLrz3v28G7Xn/fuhSxJiy7Ub3ohZVLITukQ0rceGH275nSFtMaZOexGTefBUFsJqLuQXW5zYBK0b8CY5fmu3WT0vZd+A9P0na01iF596+qjpJXlxaxvsj6to/WcG3Mw7co0rRa9ywjjAvlRYOUKXtHXpHgxJIWFwX/Wb3jVoSPPldHtJF5Rrvejj9ecIJN4qZWAfibxZqtCMtLxQnZa/AEXE6oSAyaz78805FV8tXBPEpgBY6Tcl5ieufNNJaa8EeSYqmN4Y8jjPse51Pp9pO7JmC1q1kSRo0fhPHUqRNbWiHv6FG969sL7sWOR8PGjjsqovyOJl26caiFtrqkOjLDQeCVeVSTxitRYyE4fPDBGWSfUyz0wZMCoKISkh7+GWc4Jk1Qzb0wekzx4EvIEnic9efE7XYPLrnt0R9Gz3rDt4snPW/jpM/Bxb4HANWuQHBsr7EJ2GbQS0DejWdtkNNdZkVNjlBBIHRiVJPHKVFCJN6eF7KQ6kAMTmvLXzFa9/xflRfDkVX01iMA8MFmT0942QqRm3prY33I/ytqXRVhcGPqf7Y+Dzw/qVF6Mouw678yZvBCeWbWqkMXGImjlKvh6tET4H39obMxfulFnZsDkvpBd2o1Tj685bUCF7ISKqpN4NVHITh0yarHuJPGa5VFNGYrMQkjyInjkgckO/ZdRK0Ney7zY0mwLfizwI+KS4vDbtd8w4dIERMZHQhcxLV0ahXbuRL4liyFxceEVfN+PHIW3/foh7sULtR9fXhfomxyYHPYx+qJmkqUZX/oattQd6TsVshMU2mrmKFNBDoxKC9npggfms2pCSGnqy8w8MKmNIMkD830YUkdac6k572g9tupYSIwk8H7tjd7eveEf5Q9dDYHZeHjwJpH2QwbDyNgY0deuw7dtO/jPnceTftXeVyezHBilZdRfrit5OIo8MOpBPtfUC8lA68B82aFyr6skB+Y7lEy6JqNOiPkia/7uJN5sajJREq+SZOFOZL+Ic1pZVeiwhN6+5fpim/s22Jva4/nn57zonS40g8wMkbk5nEaNghvrdt2kMfNL4vPOnSmy6/0H1CK7zjSJN+16Ue5LSfG6ku+LuiBrNuyXGTnta0Xom4xaFYXsVBlC0nIhu5jQL/k9JtYq+v7MLIQksByY1atXo3DhwjA1NcUPP/yAmzez7k68fPlylCxZEmZmZnB1dcWYMWMQq+JETsUvOn1M4s2Kio4VsdtjN++nFBAdwD0xNz7egC5jXKAACqxahYJbNsO4WFEkhYbCf8YMvOrUCdG3b2tGRi0PIeUwiZfvK/U/M8mo1RxCIhm1gYeQNJHEqw4ZdapR9N8xYHXNjJdT4/Bd+FwA1v+Y8b63tUjZxtRGeeVUtt+f2Xlg4qDzBsz+/fsxduxYzJgxA3fu3EHFihXRrFkzBAQEZLj9nj17MGnSJL79kydPsHnzZr6PX3/9NRfDzfxEKIYHDPFXWH7L/NjhvgPVnKshKiEKQ/4cwsNKuo5F7dpwY7LrXydDZGWFuP+e4E33Hng/7hck+PurNSE0572QvlxXcnlvWjdqA7zm1Il8Ptm9J1kJLwx1o9a3JN4cNnNUqg6MBg0YO7eUv7FhQOCTjJd/N2XeaFEZ7u4CPt7PeN8hvinbOJWB2hPqtSijznErgaVLl2LgwIHo27cvX1+3bh1OnTqFLVu2cEPla65evYo6deqgW7dufJ15brp27YobN3LhIcjiPqP469rQPDCKRe/WNVmHyZcn49ybc5jw9wQExwSje+nu0GWMpFLY9eoF65YtEbh8BUIPHkT4qVOIuHABDoN+hl3fvhCZpCaKqfAXRE4L2SleVuSBUS9fe7tMsunITt2o9ayQXY7rwKiikJ0ySbxK3ltYY8PB/3xJpP2ane1TqvQmRAOwR65ITPV41BwKlHTPYAMjIF9lqL2opNwDo+shpPj4eNy+fRuNGzf+sgORiK9fu3Ytw/fUrl2bv0ceZvL19cXp06fRokWqiysD4uLiEB4enm7JDkMOISliIjbBoh8XwbOkJ2SQ8YaQy28vR5I2K0IqicTODnl/m4XChw7CrHJlyGJiuEHDZNcRf/6Za9l1ZjHcnNaBYYnIivk0bDwUQlIPir2llMmDoW7UehZCymklXl3rhcTG5VI+pZFiRovU/Pu9Fsmp3+mOpTI5Tj3AxBIqy0fLrpWArsuog4KCkJSUBGdn53TPs3X/TNz9zPPy22+/oW7dupBKpShatCgaNGiQZQhp/vz5sLGxSVtY3kx2F7Pir2t9l1Fnh1gkxpQfpmB4peF8ffOjzeh3th8+RH6AEDArWxaF9uxGvkWLIHFyQoKfH/yGj8C7/gMQ5+OjMkVLbhI/Ffdl6GFLdZKR4isrKInXUD0wmsqByWEhu+xQxU0/OTG94knNZSgyl1ELLIk3J1y8eBHz5s3DmjVreM7MkSNHeMhp9uzZmb5n8uTJCAsLS1vevXuX7XEUfwmzX8qGDpuDQRUHYV7deTCXmONOwB10PdUVj4MeQwhw2XWrlih65jTsBw3iYaaoq1fh26YtPs2fjyQlvHLZuUBzmsSruC0LWSoaRIbs9VMHivMpP09ZQb2QDL0OjI55YLIj7ab/PQZMQvqaM2oi+15IAvHAODg4QCwW49OnT+meZ+suLi4ZvmfatGno2bMnBgwYgPLly6Ndu3bcoGFeluRMYmomJiawtrZOt3CyMExIzpoxrYq2wqHWh1DKrhRCYkPQ92xfXPK7BKEgsrCA05jRcDt1EpaNGgGJiQjZvgM+zd3x+eBBpWTXqkriVdyW7UvRIDIU6b6mEImM0nKOlAohUSsBPU3iVVaFpIIk3mQNGjBp1Wtjvj+EJMo6P+x7yb4XkkAq8RobG6Nq1ao4f/582nPMCGHrtWrVyvA90dHRPE9GEWYEMXKe05C9ColKun+Lq5Urtjbbilp5ayEmMQYjLozAgWcHICSMCxaE6+r/wXXTJhi7uSEpJAT+06bjdWdPRN+5q3QSr+I1l9NCdl8XdVKMCdN1p3rkc6pMPyTKgTFQGbVKC9kJzAOTlJC+5oyayL6QnQo+Sy7J8dlgEuqNGzdi+/btXBY9ZMgQREVFpamSevXqxUNAclq1aoW1a9di3759ePXqFc6dO8e9Mux5uSGjCuQJmvRLOGMsjS2xutFqtCnaBsmyZMy+Ppu3IIhPioeQsKxbB27Hj8Fp0kSILC0R+/gx3nTrhvcTJiDhU0C2CaGK98KcFrJT3JeiB4Z9xxp63pU6yDZ5UAH6AaNvSbxpO/z+4+miAaMSD0yiZnJgsi1kp/BZNNyTL8ef3NPTE4GBgZg+fTpP3K1UqRK8vb3TEnvfvn2bzuMydepUns/A/r5//x6Ojo7ceJk7d27OR5tlCEl/O1GrCqlYitl1ZqOQdSGsuruKN4F89vkZljdYDkdzRwgFlg9j36cPbFq1QsCyZQg7fAThJ7wQ8ed5OAweDLs+vSEyNs5YkpuUzJOcc5s3oZhPQwok9ZKtfFMBklHrCDqZxKuFSrzZkdY/SAU5MCL1GjBKd6Nmc8S8QpIv373qJldnY/jw4Xjz5g2XO7N6Lqwar2LS7rZt29LWJRIJL2L38uVLxMTEcAOHVfK1tf2+Ft+G2IlaFTBjcmCFgdwbY2VshQeBD9DHuw9ehb2C0JDY2yPfnDkofOAAzCpVgiw6GoFLl8K3ZStEXPgrLVykWIBOMZM+NyEk+b64Cok6UasVxbnODjoXBp7Eq2uF7LJDosIcGLF6DRi5hzrTZHq5AcM30qwSSWB3e0riVRX1CtTDPo99vILv24i36OzVmefF5LbWijYxK18uRXa9cAEkjo5IePsWfkOH4t3AnxHn65vOQFEMR3zpJJ0TGbW8MWSywfXe0jSKc50d1BVcV1CVByaHSbxZHVMbheyyI61/kBBk1EZZJ/Fyb5KRVvJg1PvJVU0WFw+583NOQeuC2Om+E5P/mcx7J7G8mMt+lzGrzizYmdpBSBiJRLBp0waWjRojeP06hGzbjqh//oFv6zaw69kD5glFES01SxeOyF0Sr5GCBybnISgiFwZMjnJg6Fzoxne0hivxyt/DmhfmuA6MkebrwKjCA5OkqSTebHohsfljXhj2WdbW+vYcxKoqH0rwHhhknwNDBcVyBMt92dBkA36p9gukIiku+l1E++PtuSEjRMSWFnAaNw5uXidg2aBBiux66zZs+nMhmr65icTEpO9M4v0iyc7N+4lcuK5zJKOmc6FXISRlK/FmdcxsQ0jyHJisrjN1FbKLE0ASryj7cgZ5K6T8jQ4GogLSL9GBahubsDwwWcqo6ddwbhEZidC7bG/UzFsTky5PwsvQlxh6fij6lu2LkVVGQqLm/yDqwLhwYbiuW4vIS5fwad585Hn9GmPuHkBY38ewmTGV58x8VxKvQiE7+tWvbg8MFbIzuCReZQ2GHIWQdDAH5nuq1yYnaiQHJttCdozeJ4HgFxm/FhEJLKiplrHpzc8Vykf4fkralcRej73oViql8ebWx1vR/2x/+Eeppiu0NrD88Ue4nTiO7RXbIFpiguQnj/G6S1d8mDgJpmGfc5zDkpGMmnJg1INi0cDsoBCSoSfxfo8HRl7ITpkcGANsJSBW4v8hUx45l814cSqttrGJ9MYDk/prWF50h8gdphJTTP5hMpY2WAoLqQVvQdDRqyPOv/1SvFBoGBkbw7vsTxjQeCKMWrTiz4UdP44R2yaj44u/IElK/SLIYXE1+X9oea8QQouF7CiEpGcGjJJJvIr3hO81YITmgUnSjIw6J/8PNY3efPPKi+zIM6aJ76NJoSY40PIAytiXQVhcGEb/NZp3tWZF8IQajvhsag1MmIrCB/bDtGIFmCTEof/jU8g/tj8iLl5Ubj/iL2ENuUuVitip6ZwpzHV2UEK1rqDqJN6cqJAEZMCoxAOTpJkk3hz8P9Q0epjESwaMKlVKu9x3oU/ZPmldrSdfniy46r1fd5E2q1ABhffuxb6f+iDExAqSj37wGzwEbwcNQtyrV0pKe794YChxVF3n7MtcZweFkPXUA6NsJd6sjqmThexU0ME5OVEzvZBSvzuVCeVqGpH+yaiF9ZGEUL13XLVxmFNnDiRGEpx+dRoD/xiIT1HpG3rqOmny59TrhMmurxevhYGNJyKmfVeAdbv++xKXXX9atAhJkZGZ7CejQnZkNKvb6MwOaiWgI2gziRe5rQOTk35KKvq/rooOzsk60o1ai+jN3Z66UauXNsXaYHXj1Wl5MZ28Ogmqq3VG/TyYCilaaor4AcN4oq9F/R+BhASEbN4CH3d3hB49BtlXRdQU90O/+jUUQqJWAsJBJ5N4s6sDk5NCdiruhaQSD4wEWk/i1RIC08cq042afg2ri9r5amN/y/0Y//d4PAl5gmHnh6F3md4YVWUU99ToMvJfEV02XIco9VdUXOIXGbVJ4SIouH49z4UJmL8A8W/e4OPkyfi8dy9cpk7hYSfF/czy+i/txxhdc+o9Z+MO3MeEQw+y3FbxXBJaRJnS/iqtxGukQhm1TIOF7L7TA8OMelmyRgvZvQ6ORsmpZ9K9ZiwRYVbrsmhfpQC0gd54YMiFrBlYI8hdLXalSa23/7ed91IKjgmGLlO5YJ60XCl2s5Pf8KxNJXBztEzbzqpBAxTxOgGnX8ZBZG6O2AcP8LqzJz78OgWJgYFp+2HXmzzvSv4coVqqKMy1/JxltjDy2pjC2VqhLwuhBZQwKHRVRi2kJF6590UDOTBuDpawNU8xkr7+fxcRm4izj7VXZkNYHpgsrHHqRqs5jMXGXGpdI28NTL8yHQ+CHqC3d2+sa7wOBay0Y4lnx6KOFTC2SQkkf/Wlam9hAjPj9F8ArJO1/YABsG7dGoFLlnLJddiRI4g4exZthw1DywkdkZBavZPlabjY0E1THYxpUgLdfiiodOzdwdIEplL1fpkT+P7S/mprJZBbD4w2knjlIaTY78t/YajZ+21jLsW1SY0QHJW+arDX/Y9Y6P1Uq6ElvQkhUS8kzdOoYCO42bhh8LnBeBP+Br3O9MLaxmt5QTxd7MKdzzb1S0NJpE5OvEFknq5d4D9nLmIfPULA77/D+OBBOE+exIvkEeqFPCoC45vS/rk1KJVUIfFNRCnHEqIHhlWvnZVJ3zkrF6CfN2BbMBsPjATqhv3IK2Bsnu45RyuTrHskaQC9CSFRLyTtUMSmCHa22IlitsUQGBOIvt598fe7v6FPsLYDrHZM3rlzIba3R/yrV3j38yC8GzyE58oQBJGD0v7KkCODwUh4lXjtiwEWjqn7Tsp4CX8PvL2R8fsVi2+KJDrfLV5d6JGMmpL4tIWTuRO2Nd+GKk5VEJEQgeEXhmPBzQWCrBeTGUx2bduhPYp6n4Fd376ARILIixfh27IVApYsQVJklLaHSBDaR5mcFJVW4lXCg6KLHhhTG2D0I2Ds04wXtwZZd6tO88AYqT0HJvtCk+SB+W6okJ12sTGxwcamG9GjdA++vvvJbnQ/3R2+Yb7QJ8RWVnCeOCFFdl23LmQJCQjeuAm+7u48V+Zr2TVBGBaKBoeGPDDZKZ+y62wt0oIBIw8jWefNeGEGTlY5MhqSUKuq0KS6EOlfN2qBfSQ9S+6dWGMiVjdajTwmefA05Cm6nOyCoy+OQvbdha10CxM3N7hu3IACa9ZAWrAgVyixBpFvunVHzMNH2h4eQWgHnfTAKFsHRoOF7JRN8s3UA6OZInZKFZokA0YFKiSqA6Mz/FjgRxxufRg/5P0BMYkxmH51OiZcmoCI+AjoEywx2OqnhnA76QXHsWNhZG6OmHv38LpzZ3yYOhWJwbotLScI9SfxQjNJvFkdL9tKvFrywCiT5JupB0beB0l7Hhhd6JGkN+4K6karWziaO2JDkw28yJ3YSAzv197cG+MX4Qd9g8muHX4eiKJnTsO6dSv+iy/s0GH4NGuO4G3beJiJIAwCbSTxZtsKQBUeGBUXsvteD4yGOlHreo8kgRkwJKMWEiIjEQaUH4Ad7juQzyIf3ka8RZdTXfDnmz+hj0idnZH/999RaM8emJYti+TISAQsWAjfNm0R+c8VbQ+PIAQUQspByCa7Srq6mMSbHdl6YHQgB0as/R5JAjNgMod6IekuFRwrcKl1GfsyCIsLw5iLYzDj6gxEJ0RDHzGvUpnLrl1m/waxnR3ifX3xbsAAvBs6DPFv32p7eAQhgCTeHHg8smsgqdJCdprOgcnMgNG+B4aSeNXSjZp6oeiq1HqX+y70L9cfRjDCkRdHeEPIh4EPoY8YicXI06lTiuy6dy8WMEbkhQvw9WiJgGXLkRxFsmtCD9FKCEmAMurvbTUgz4ERa9MDo3y3eHWhRx4YWbpJJXQP1vBxdNXR2NxsM1wsXHhIifVR8vLx0juVkhyxtTWcJ0+G2/FjsKhdO0V2vX49fNxbIMzrpN5+bsJA0UYSrxAL2SndaiCbOjAiXfDAUAjpu/kioyYPjK5T3aU6DrU6hAYFGiA+OR6//vMrJl6eiLik9L029AmTYsXgunkTCqz+H6QFCiAxIAAfxo/Hm+49EPP4sbaHRxCqQZneRDrngTESngcmLYlXCm3nwFASr7KQjFqvCt8ta7gMQysOhcRIgjOvzqDf2X4IigmCvsJl140awe3USTiOHg0jMzPE3LmD1x074eO06UgMCdH2EAni+1EmJKONQnbZhpBkOuSBMRWAB0bE/1IvJBXwpRs1hZCEgkQkwZBKQ7CuyTpYGVvhQeADdD3VFfcC7kGfEZmYwGHwoBTZdcuW/Isz9OBBLrsO2bGDZNeEwDFSYRKvKgvZZVaJVxeTeLPLgUk1YLSZA5Ma7SAPjNJQEq8+wgre7WmxB4WsC8E/yp/nxWx6uAnJ3xVD132kLi7Iv3gRCu3eBZMypZEcEYFP8+bDt107RF29qu3hEYQWPTAyHUvi1XAdGKkAcmDEJKPOGVlYv5TEK2wK2xTGPo99aFGkBZJkSVhxZwWGnh+Kz7Gfoe+YV62KIgcPwmXWLIhtbRH/0gdv+/WH34gRiPfTv8J/hJ6jCgMmJ96b7HJYlDZgdCmJV9kcGAm0BbUSUCEkoxY+lsaWWFBvAWbVngUTsQmuvL+Cjl4dcefTHeg7XHbt2RlFz3ojT8+eXHYdce5P+LbwQMCKFUiO1s+aOYQekl1dFrUl8epTIbvs6sDIPTC6kcSrLTWlwBJGsvLAyHNgSIUk9ETX9sXbY4/HHhS2LoyA6ACe3LvxwUYkZSVz1BPENjZwmfIrihw9AvNaNSGLj0fw2nXwaeGBsFOnSHZN6D4aT+LVZCE7TSfxZtcLSQxtoaj41VZDR4EZMFCimaPefCSDpkSeEtjfcj883Dx4SGnl3ZU8N0YfeyllhGmJEii4ZQvyr1wBaf78SPT3x4dxv+BNz56IffJE28MjiCxQQpas0SReffTA6EA3agXBjLYSeYV1tycZtUFhLjXH/LrzMafOHFhILXAv8B46n+yMS36XYCjeKOumTbns2mHkCBiZmiLm1m286tARH2fOROJn/c8PIgRIdrJmZciRwfC9OTCp70/WpWaOQpBRG6U91lY/JL0JIX2RUVMISd9u4m2KtcGR1kdQwaECIuIjMOz8MKy+t9ogQkoMkakpHIcORdHTp2Ddwp1/0Ybu258iu961G7LE1C8zgtAFlKmrkh1pxoiBe2CYpyWj7zmdSOI1+jIc8sCoKolXYDYZoRT5LPNha/Ot8CzpydfX3V/HDZnQ2FCDmUFpvnzIv3QpCu3cAZNSpZAcHo5Pc+bgVbv2iLp+XdvDI4ivysB8T1ghFzLqjDw+imMQkgEjMfnyOCMvTFoOjATaQpzOA0MhpO+UUZMHRt8xFhtjas2pmFd3HkzFprjy4Qo8T3riWcgzGBLm1aujyOFDcJk5gyf9xr14gbd9+sJv5CjE+73X9vAIQ0dblXgzOp7ic4IqZJfqgcksD0YHcmCMjIy03g9Jb9wVJKM2HFoVbYVdLXbB1coVH6I+oK93X5z0PQlDgsuuu3RJkV136waIRIj44w/4enggcOUqJMdkEjsnCEEVsjNSoQEjoEJ2LJIgNk55HPQcCPFNv0QGaN0Do5iyoa2O1HpjwFAhO8OipF1J7PXYiypOVRCREIHJlydj/o35SJQntxkIrPCdy/RpKbLrGjUgi4tD0Jo1XHYd7u1NsmtCeK0EuLGQkxCSkYoMGB0qZKfohdnqDqysnH65slzrMmqGNDVlg2TU3wl1ozbMhpCbmm7iDSEZe57uwYgLIxAZHwlDw7RkSRTcvg35ly+HJF9eJH78iPejx+Btr96IfWZYITZC4B4YZfJWMjyeTI0eGC0YMJW6AcZWmS8WTkCpltAm4rRidtoJIWnX/5RTsnAnpoWQSIVkUEjFUt4QslieYvj18q/45/0/6HmmJ9Y0WoO8lnlhSHDZdfNmsKz/I4I3b0Hwxo2I/vdfnuSbp4snHEaMgCRPHm0Pk9B3vrsSbw7fpzIPjI4ZMO4LUhYdRqLljtQCCyEp0QuJVEgGSZNCTbhKycHMAS9DX6Lb6W74L/g/GCIiMzM4Dh/GZddWzZtz2fXnPXvh29wdIXv2kOya0HEPjBJGh1o8MDLdMmAEgETLHan15mxQEi9RzqEcz4spnqc4gmKCeOXeq+8Nt6szq+BbYPkyFNy2DSYlSiApLAyffpvNC+FF3byp7eER+opKQ0jKqH701AMjACRa7kgtrLNBMmoiG1wsXLC9+Xb8kPcHxCTGYMj5IbzonaEl9ypiUfMHFDlyGM7TpkLEZNfPnvHcGL8xY5Dw4YO2h0foHd+bxJtLD0yGdWByYMBkVRiTDJgMkaa2E6Ak3u+EeiERcqyMrXgOTNtibZEsS+ZF73p798b5N+cNVpVjJJHArnt3FPU+A9uuXVJk12e8uVopcPVqJMdm0nOFIAQTQkrWQCE7qvSeUTE7klErRcYXD7spURIv8XXRu9l1ZmNBvQW8j9KDwAcYfXE0xlwcg/D4cIOdLJbEm3fGDO6RMa9WDbLYWASt+h98mez67B8Ga+ARulSJV/F9RjpSyE7DdWAEgoQK2eWATC5ARfeVXJdOEAzWzfpw68PoUboHJCIJzr89D08vw6ve+zWmpUqh4M4dyL9sKSR58/JQ0vtRo/C2bz/EPn+u7eERhtwLSaUeGIWeSpkZMJQD8/2F7CiJN/coZkDLdekEISe/ZX5MrDERO913Ip9FPvhF+qH76e444XPCoCeJy67d3blayWHoUBgZGyP6+nUuu/afPQdJoYbTZ4rQ1RCS0ffJtpUJ/ehqITsBIJEXsiMZtTJkfBEqZkArdsgkiK9VSgdaHUDd/HURlxSHKf9MwZzrc3iejCHDZdcjR8CNya6bNAGSkvB59274NHfH5337IEsyjK7fhC5V4lWxByar/ZCMWgUyalIhqcQDQwYMkV313tWNVvPqvUYwwv5n++Hl40WTxvKGChRAgVUrUXDrFpgUL8Y9MP4zZ+FVx06IvnWL5ogQYBKvMgZMqsGVlAD43cp4SYhWfjwGKaOWaef4EBKZuAEVJ0+xxTdBZITISMSr97IqvivurMDKOytR3rE83GzcaMKY7LpWLRQ5ehSf9+5D4KpViHvyBG969IR1ixZwGv8LpHkNq8IxoYVmjl92psQmWdWBUSL5Vt4QMTEG2NQom2Npt/eQ7sqok7VyfIGZk5kl8aZMnlRsxOP6BKEMLLG3kHUhBMQEoPup7rjsd5kmTlF23bNHiuza05PfJMJPn+ay66C1a5EcF0dzRainlUBOc2CgTA5MFrc6G1egbDvAtlDWi1tDIG/FnH4avUasZRm1sDwwmSCfPPK+EDnBVGLKi96NvTgWdwLuYPiF4RhbdSx6lelFhnAqEjs75J01E3k8O8N/7jzE3L6NwBUrEXr4CJwmToBV48Y0V4SaQkhZKIdyWsguuxBSp225GCghoW7UqpNRk4SayCn2Zva8o3X74u15Mu/iW4t5ci+r4kt8wbRMGRTatRP5Fi+GxNkZCX5+eD9iJN7174+4ly9pqgjFL2rVJPEq603/3hwYQgV1YKgXUq6RZ0CThJrIDSwXZmatmZhYfSLERmJ4+Xqh95nevJ8S8QUWnrVp6YGiZ07DfvAgLruOunoNvm3awn/ePCSFG26BQEINHhhljQ5lKvFSaoF668BQLyRlyDqJlzpRE99zc+5Rpgc2Nt0IO1M7PAl5gi4nu+Bf/39pUr9CZG4Op9Gj4XbqJCwbN0qRXe/YCZ9mzfH5wAGSXRs6WSXVKoX817yyHhglmjmSB0a9SbxUB0YJMrGiqRM1oSqqu1THDvcdPLn3U/Qn9D/bn6uUEpITaJK/wtjVFa7/+x9cN2+CcdGiSPr8Gf7TZ+BVp06IvnOH5stQSTMooGEPTC5zYIjvT+KlEFLukReyk7uzCOJ7YMbLgZYH0K5YO8ggw8aHGymklAWWderA7dhROP86GSIrK8T99wRvunXH+1/GI+HTJ7oYDQ2dCiGRAaNOmPKXQSGk7yAtiTfVnUUQ34u51By/1fkNS+ovgbWxNR4GPUTXU11xye8STW4GGEmlsOvVK0V23aljiuz65En4uLdA0Lr1JLs2KL4zhERJvIJBTB6Y74dk1IS6aFq4KfZ47IGrlSv8o/wx7PwwtD/RHvcC7tGkZ4DE3h55Z89G4YMHYVapEmTR0Qhcvhy+LVsh4sIF6nZtCGQla1aLB4ZyYLQvo6ZCdt8ho04NIVEVXkJNIaVDrQ6hb9m+kBhJ8OLzCwz4YwD2P91PN+RMMCtXFoX27kG+Rb9D4uSEhHfv4Dd0GN4NGIg4Hx+6TvUZVdaBUe6A8jdmvi/KgdFLGbXACtllXQeGcmAIdYaUxlYbiz7l+mDGlRm46HcRc27MweX3l3moiSmXiAxk161aweqnnxC0fgNCtm5F1JUrXHZt1707HIYPg9jKiqZN35D/0Hx/50uZ/nSvi4FCtQBji2z2k8McmE+Pgedn078WnGoskwGjFiRaViEJzIDJGPnkkYyaUDfMUFnx0wrsfrIby24vw99+f2PMX2Owrfk2qkibCSILCziNHQPbDu3xaeHviLxwASHbtyPMy4s/b9O+PYxSXdGEHiCSpvy9vDjzbcq2Bzptzfi1NK+Jkh4Ycerxbm1JWTIcE/Uw0sckXol+yKgphERothlkzzI9UcOlBnqe6cnbELCu1l1KdaHTkAXGhQrBdc1qRF7+B5/mzUP8q1f4OHUaPu/bD+cpv8K8cmWaP32g5hAgKR5ITvz2tbgIIPgFEPRcdUm8VfsAYe+BxNiMX2f7qdJbuX0RgkrizZUBs3r1aixatAj+/v6oWLEiVq1ahRo1amS6fWhoKKZMmYIjR44gJCQEhQoVwvLly9GiRQuogrRCdiSjJjRISbuS6F22N9bdX4e5N+byujEjK48kT0w2WNarC4vjxxCyew+CVq9G7KNHeNO1G2zatIbj2HGQOjtp5gQS6qF0y5QlI1hYaWNDIOZz5u/Pad5K4bpAvzO5GChhcIXs9u/fj7Fjx2LGjBm4c+cON2CaNWuGgICADLePj49HkyZN8Pr1axw6dAjPnj3Dxo0bkT9/fjV0oyY3NKFZBlUYhAHlB/DHmx5uwqxrs5CY0S9PIh2sDYF93z5cdm3ToT1/Luz4Cfi6uyNo40Ykx8fTjOkjZnlS/ipjwCidxEsYqgcmx3f8pUuXYuDAgejbty/KlCmDdevWwdzcHFu2ZBx7ZM8zr8uxY8dQp04dFC5cGPXr1+eGj6ogGTWhLSQiCUZVGcV7KbHQ0uEXhzHm4hhEJ0TTSVFm/hwckG/uXBQ+eABmFSsimcmulyyFb6tWiPjrL1J56Rtmtil/2f+PxLhMNpKHkOgHqXBUSMlaOX6OrhDmTbl9+zYaN278ZQciEV+/du1ahu85ceIEatWqhWHDhsHZ2RnlypXDPNb4LSkp0+PExcUhPDw83ZIVaSokSgQktESHEh2wtP5SGIuMcfHdRfTx7sPrxhDKYVa+PJdd510wH2JHByS8eQu/IUPxbtAgxPm+omnUF0xsvnhWYkIz3oakz8ILISULwAMTFBTEDQ9miCjC1lk+TEb4+vry0BF73+nTpzFt2jQsWbIEc+bMyfQ48+fPh42NTdri6uqqnIya6sAQWqRRoUbY3GxzWjNIz5OeuP3pNp0TJWFKJNu2bVH0jDfsBw4ApFJEXboM39atuXopKTKS5lLosB+Zci9MZmEk6iAtvBBSkgA8MLkhOTkZTk5O2LBhA6pWrQpPT0+e0MtCT5kxefJkhIWFpS3v3r3L8hjyyaMkXkLbVHKqxCv3lsxTEiGxIbwZ5P/u/g8JSdQMUlnElhZwGjcORb1OwLJ+fSAxkdeQ8WnujtDDRyDTkrua0FAeDHlgBCijlum+AePg4ACxWIxPXzVoY+suLi4Zvidv3rwoUaIEf5+c0qVLc48NC0llhImJCaytrdMtynSjpiReQhfIb5mfd7RuUaQFkmRJWP9gPbqc6oKnIU+1PTRBYVy4MFzXr+MLk2AnBQXh45QpeN2lK2Lu39f28IjcYprqgYmlEJLQEae1EhCAAWNsbMy9KOfPn0/nYWHrLM8lI1ji7suXL/l2cp4/f84NG7Y/Vcqo5e4sgtCFyr0Lf1yIxfUXI49JHjz//BxdT3bF4eeHtT00wcG8MG5eJ+A0fjwvihf74AFee3bBh0mTkRgYqO3hESpXIslvhvR9LhgPTLJAQkhMQs1k0Nu3b8eTJ08wZMgQREVFcVUSo1evXjwEJIe9zlRIo0aN4obLqVOneBIvS+rNOUZZhpDkk0kQukKzws1wtM1RNCrYCImyRMy8NpPLrWXyOD+hvOy6f78U2XW7dvy5sGPHeFgpePNmyEh2rUchpBwWsiN0IAdGIIXsWA5LYGAgpk+fzsNAlSpVgre3d1pi79u3b7kySQ5LwD179izGjBmDChUq8PovzJiZOHGiCps5kgeG0F3szeyxrMEyrLizApsfbeZ/r364ihm1ZvBGkYTySBwdkW/+POTp4gn/OXMR+/AhAhYtRujBQ3CePCklZ4bQbeRJvG+ufjFmFAlJVZ2RASOgbtQy7Rw/N28aPnw4XzLi4sWL3zzHwkvXr1+HuvjSjZrqBhC629hwdNXRcLZw5j2U/vX/l6uU5taZy9VLRM5gNWMK79+HsGPHEbB0KeJfv8a7QYO5AcMMGZY/Q+go5g4pf5+eTFkyQ2yisSER3xtCEpABoz1IRk0Im66luqJe/nqYemUql1iPvjga/cv1x4jKIyCmhnM5l123bwerpk0QtGYtQnbuROTffyPy6lXY9+4F+8FDuKKJ0DEqd0/phRSXVX0v1r+opwYHRQhRRi0wAyabbtTUSoAQAAWsCmBj043cE7Pzv508rPQ4+DF+//F35DHNwKVOZInY0hLOE8bDtmNHfJo/H1GXLyN402aEHj/O5dg2rVtTt2tdwrZg5p2oCUEhFVovJK2SrYyakr4IYSAVSTGh+gRutJhJzHD943V0ONEBf7z+gxJ8c4mJWxG4bliPAmvXQFqoIJICg/Bx0mS87toVMQ8fqvYEEgSBL72QBKJC0i4ZGygJqe4rklETQsO9iDt2t9iNwtaFERgTiHF/j+NKJWoImftcI6uGDeHm5QXHcWMhMjdH7P0HeN2pMz5MmYLEoCAVn0GCMFykWs6BEZgBkzFy9xUVsiOESPE8xXGo9SHe2Zo1hDzy4ghG/zUakfFUOj+3iIyN4TBwINzOnIFNm9b8ubDDR1Jk11u2kuyaIFSpQqIQkhKQjJrQU0zEJhheeTiWNljKH//t9zc6n+yMx0GPtT00QSN1dkK+hQt5o0jTsmWRHBmJgN9/h2+btoi8fFnbwyMIQSOmEJIqZdSUA0MIG1bwjjWEzGuRF+8i3qHH6R7Y8GADkpIz795OZI955coofPAA8s6dA7G9PeJfvcK7gT/j3ZChiH/zhqaQIHKBPOohz0PVNAILIZGMmtB/KjpWxMFWB9GkUBNevXfV3VXo492HGzTEd8quO3Tg1Xzt+vQBJBJE/vUXfFu2QsCSpUiOiqLpJYhceGDk7Xw0jX6EkNK6UQvr4xBEZtiY2GBJ/SWYW3cuLKQWuBd4Dx1PdMTZ12dp0r4TsZUVnCdNhNvxY7CoUweyhAQEb9wIH/cWCDtxglRgBJHjbtSkQso1JKMm9FVR07poaxxufRhVnKogOjEav/z9C37/93ckJCdoe3iCx6RoUbhu2ogCa1ZD6uqKxIAAfJgwEW+6dUfMI8o9IojskDsNSIX0XTJqeS8k8sAQ+kd+y/w8L6ZvuZSGqaz4XZeTXfAs5Jm2h6YfsuuffoLbSS84jhkDI3NzxNy9i9edOuHjtGlIDA7W9hAJQmeRpCXxUgjpu5N4qZAdoa9IRBKMrToWyxssh7WxNZ5/fo6eZ3ri/Jvz2h6aXiAyMYHDoJ9R9MxpWLdqxTsiswaRTHYdsn07DzMRBJGxAcOiIDJ5F3ENoic5MNSNmjAMWONHr3ZeqJm3JmISY3gvpbX31yJZpp0YtL4hdXZG/kW/o9Ce3TAtUwbJERH4NH8BfNu2Q+SVK9oeHkHoFBKFqIc2vDDCMmAyQT5x1I2aMATsTO2wtvFadC/dna+vubcG4y6OQ1QCqWhUhXmVKlx27fLbLIjz5EG8jw/e9R+Ad8OHI/4dqcEIgiFRaN+jDSm1XsmoKYREGFJIaVKNSfit9m/88Z9v/0S3U93wKuyVtoemNxiJxcjTuTOXXefp1RMQixH553n4erREwPLlSI6O1vYQCUKrKLbvkbf00STCMmAyqVMnl3BRLyTC0GhXvB22Nd8GJzMn+Ib5ouuprjjz6oy2h6VXiG1s4PLrrymy69q1eBuC4HXrU2TXJ0+R7JowWKQKpUu00U5AWAZMJlAvJMLQC9/tb7WfS61ZGGnCpQlYdnsZ5cWoGJNixeC6eTMK/G8VpPnzI/HTJ3z45Re86dETsf/9p+rDEYTOIxYZpaWmUg5MrkNI5IEhDBsHMwcutR5QfgBf3/JoC4b+ORT+Uf7aHpr+ya4bN4bb6VNwHD0KRmZmiLl9G686dMTH6TOQGBKi7SEShJak1BRCyhWUA0MQKXkxo6qMwvx682EsMsaVD1fQ7ng7/PnmT5oedciuBw9OkV17eKTIrg8cSJFd79wFWWIizTlhEEi02JFaz2TUwvo4BKEOWrq1xMHWB1HBoQIiEyIx5uIYLL29FHFJcTThKkbq4oL8Sxaj0K6dMClVCsnh4fg0dy5etWuHqGvXaL4JvUeixWJ2ehVCom7UBJGCm40btrtvR88yPfn61kdb4enlSSolNWFerRqKHD4El5kzIba1RdyLl3jbtx/8RoxEvN97uiwJvZdSJ1EI6Xt7IQnMHiMINYeUJlSfgKUNlvIcGZ8wH65Souq9apRdd/FMkV336MFl1xHnzsHXwwOBK1ciOSZGTUcmCO33Q9JGR2q9kFF/6YWUyQYEYcA0KdQEB1sdRFXnqlylxKr3Lr+9HEnJSdoeml7CPDAuU6egyNEjMK9ZE7K4OAStWQufFh4IP32aZNeEfoaQksiAyRXyOjBUyI4gMoZ5YDY23YheZXrx9c2PNmPwn4MREkuqGXVhWqIECm7dgvwrVkCaLx8SP37E+7Hj8LZnL8Q+fUqXKqFXIaRECiF9XyVe8sAQROZIRVKMrz4ei35cBDOJGa5/vA7Pk554FPSIpk2NsmvrZk257NphxHAYmZoi+tYtvGrfAR9nzULi588094R+qJCSyQOTOxUS5cAQhNI0L9Ice1rsQSHrQrxOTK8zvXDo+SGaQTUiMjWF47BhKHr6FKzcmwPJyQjduy9Fdr17N8muCcEioRBS7mEtvOVJvOSBIQjlKJanGPZ67MVPrj8hITkBs67NwoyrM0hqrWZYKKnAsmUouGM7TEqWRHJYGD7NnsM9MlHXb6j78AShcuT3XQohZcu3HhhFt5WU6sAQhNJYGVthWcNlvPidyEiEIy+OcG/Mh8gPNItqxqJGjRTZ9YzpvNdS3PPneNunD/xGjUbCe5JdE8JBmqpCohBSLrjuG5xha2+CILKHGS6s/cC6xutga2KL/4L/43kxVz9cpelTM0YSCfJ07Qo3Jrvu1hUQiRBx9ixXKwWu+h/JrglBIEm97+6+/gazT/6Hh35hGju2wGTU3xooU499SUA0lgjr4xCErlArXy3sb7kfZe3LIjQuFIPPDcbGBxupIaQGkOTJA5fp01Nk1zVqpMiuV6+Gj4cHwr3Pkuya0GlszKT8759PArD5n1f47eRjjR1bYHf8bw2Y6PiUWhaT3EtRITuC+A7yWebj1Xs7FO8AGWRYeXclRv81GhHxETSvGsC0ZEkU3L4N+ZcvgyRvXiR++Ij3o0fjbe8+iH32nM4BoZNMa1kGIxsVR5tK+fh6eIzm+oAJzID5FnkC70+lnLQ9FIIQPCZiE8ysPRMza83ksuu/3v2FTl6d8K//v9oemuHIrps352olh2HDYGRiguibN3lvJf/fZiMpNFTbQySIdBR1tMTYJiXQtUZBjSfzCj6ElJBaxI76IBGE6uhQogN2uO9APot8eB/5Hj//8TP2PNlD4QwNITIzg+OI4XA7dQpWzZpx2fXnPXvg06w5Pu/dC1kSVVEmdAttNHUUlgGTAdQHiSDUQzmHcjjS5gjci7gjUZaI+TfnY+qVqYhPiqcp1xDGBfKjwIrlKLhtG0yKF0dSWBj8Z/2GVx06Ivpf8ooRutcTSZMtBYQvo6Y+SAShNiykFlhQbwEmVp8IsZEYJ3xOoMfpHgiIDqBZ1yAWNX/gSb7OU6dCxGTXT5/iTc9eeD92LBI+fqRzQeiQB4ZCSEqHkOSTRRJqglCf1LpHmR74X6P/IY9JHjwJeUJSay3Jru16dOfdrm27eHLZdfjpM/Bxb4HANWuQHBurjWERRLp7sDwqogkE5oFJT3KyDPK5kvdjIAhCPdTNXxd7PPagmG0xBMUEYdC5QVj07yIKKWlBdp135kxeCM+sWlXIYmMRtHIVfD1aIvyPPyhPidAK8ntwAoWQMiO9ByZBwVVFHhiCUD8FrApwI8azpCdf3/HfDnQ/3R2+ob40/RrGtHRpFNq5E/mXLoHExYVX8H0/chTe9u2H2Ockuya01ROJQkhKoeiqIhUSQWgG1sl6as2pWPXTKh5SehryFJ1Pdsa+p/vo1782ZNctWnDZtf2QwTAyNkb09et41a49/OfM5Um/BKEJ5E4EUiEpmQOj6KqiEBJBaJYGrg1wuPVh1M5XmzeBnHtjLob8OQSfoj7RqdAwInNzOI0aBTfW7bpJYyApCZ937UqRXe8/QLJrQu3I78FkwCgJeWAIQrs4mjtibeO1XKXEiuBd+XAF7U+0h/crbzo1WsC4QAEUWLUKBbdshnGxorzwnf+MGXjVqROib9+mc0JoJIlXJtNMIq/AMl/Te2DksTYWehOlxt8IgtCOSulAqwO8l1J4fDjGXxqPSZcn8ceE5rGoXRtuR4/C+ddfIbKyQtx/T/Cmew+8H/cLEvz96ZQQKkcxjUNTXhhhh5BSJ0leQIcgCO3hZuOGnS12YnDFwbxmzCnfU+hwogNufrxJp0ULGEmlsOvVE0XPesO2c2f+/Rl+6hSXXQetW4fkuDg6L4TKULwPa6qYnaDv/Empk0QJvAShG7D+ScMqDeNNIV2tXOEf5Y8BfwzA4n8X8zwZQvNI7OyQ97dZKHzoIMyqVIEsJgaBy1dw2XXEn39S4jWhBg+MZpRIeiGjJgOGIHSLio4VcajVIXQs0ZF3tt7+33Z0PdUVz0KeaXtoBotZ2bIotHsX8i1aBImzMxL8/OA3fATe9R+AuJcvtT08Qp8MmCTywCidxEshJILQPcyl5phRawaXW9uZ2uHF5xfoeaYnLr67qO2hGbTs2qZVyxTZ9aBBPMwUdfUqfNu0xaf585EUTjlLRO4QUw5MTmXU5IEhCCHIrY+0PoJaeWshJjEGIy6MwNzrc/ljQjuILCzgNGY03E6dhGWjRlx2HbJ9B3yau+PzwYMkuyZyZRxruh+SwEJImXhgSIFEEDqNvZk9VjdajR6le/D1fc/28X5K/wX/p+2hGTTGBQvCdfX/4LppE4zd3JAUEgL/adPxurMnou/c1fbwCKEWs0uiEFK2yAvZUQiJIHQfqViKiTUmYl3jdXA0c8SrsFfofqo7Nj3chKTkJG0Pz6CxrFsHbsePwXnyJIgsLRH7+DHedOuG9+MnIOETFSYklEOq4WJ2gg4hyevAUB8kghAOdfLX4SGlxgUbI1GWiBV3VqDf2X74GPlR20MzaLjsundvLru26dghRXbt5ZUiu16/Acnx8doeIqHjiNM8MBRCyhYKIRGEMLE1tcXSBksxu85sWEgtcCfgDrqc6oJ7Afe0PTSDR2Jvj3xz5qDwgQMwq1QJsuhoBC5bBt+WrRBx4S+SXRM6005AWB6Yr0grZJc6aQRBCCvpr22xtlxuXcquFEJiQ7gn5qTvSW0PjWCy6/LlUGjvHuT7fSEkjo5IePsWfkOH4t3AnxHnS93Hiaw6UpMBkwHpQ0hJ8jowqW4rgiCERwGrAtjefDsaFWyEhOQETL48GeMujkNgdKC2h2bwcNl169ZwO3MG9gMHpsiu//kHvq3b4NOChUiKiDD4OSIy6khNISTlk3hJhUQQgq8Zs6T+Evxc4WfehuCPN3+g9bHW+O3ab2TI6ABiSws4jRsLt5NesGzYEEhMRMi2bVx2HXr4MGQaumERuo0kTUZNHpgM+DqJl0JIBKEviEVijKg8Avtb7kc5+3KITIjEwecH0dGrI659uKbt4RFMdl2oEFzXroHrxg0wLlIEScHB+DhlKl57dkHMPcpfMnQkqf2Q5DXa1I2gk0fkbioKIRGE/lDSriR2tdjF68YUz1Oc58YMOjcIq++tJrm1jmBZrx6XXTtNmMCL4sU+fIjXXbriw8RJSAgI0PbwCC17YOQCG3UjcBk11YEhCH31xvxY4EfsabEHHYp34P2U1t1fh6HnhyIsLkzbwyPY17GxMez79UVR7zOwad+ez0nY8ePwbe6O4E2bIEtIoHkyMCRUyC4nSbyUA0MQ+oypxBQza8/EgnoLYCYxw9UPV9HmWBvc/nRb20MjUmEKpXzz5qLwgf0wrVgBydHRCFi8BK86eyL2yROaJwNCQjJq5aFu1ARhGHi4eWCH+w4UtSmK4NhgDPxjILx8vLQ9LEIBswoVUHjvXuSdPx9iGxvEPXmCV506I3DlSsioCJ6ByaiTNXI8QYeQvnSjJhk1Qeg7rFbM3pZ70aRQEy63/vWfX7Hq7ioky0gBoysYiUSwbdeWN4m0atqUq5WC1qzFqw4dEfPwkbaHR2hMRk05MDmQUQvLDiMIInewMNLi+ovRv1x/vr7hwQaMvDASwTHBNKU6hMTBAQVWrkD+5csgtrND3IsXeO3piYAlS5AcF6ft4RFqDyGRByYDMumFRHVgCMJgEBmJMLrqaPxW+zdIRVL87fc32p9oj8t+l7U9NOIrrJs357VjrFu0AJKTEbxxE161a4/ou9TpWp89MAlUiVcJFRKFkAjCYGlXvB32euxFMdtiXGo94sIIPAt5pu1hEV8hsbND/qVLUOB/qyB2cEC8ry/edOvOK/kmx8TQfOmhByZJl0NIq1evRuHChWFqaooffvgBN2/eVOp9+/btS+l/0rYtVAHJqAnCsGE1Y/a13Id6+eshSZaEeTfmITw+XNvDIjLAqnFjFD3pBZs2rQGZjFfy9W3bFtG3btF86QkSXU/i3b9/P8aOHYsZM2bgzp07qFixIpo1a4aAbIoXvX79Gr/88gvq1aun+l5IFEIiCIPFRGyCSTUm8b+sq3XHEx1xN4BCFLqI2NYW+RYuRIF1ayFxckLCm7d407MX/OfM5fJrQthIdD2Jd+nSpRg4cCD69u2LMmXKYN26dTA3N8eWLVsyfU9SUhK6d++OWbNmwc3NLdtjxMXFITw8PN2SEdSNmiAIRkHrgtjabCtcrVzxMeoj+nj3wZp7a5CQRMXUdBGrBg14boxNxw7cG/N51y7eIDLq+g1tD43Q127U8fHxuH37Nho3bvxlByIRX792LfNeJb/99hucnJzQv3+KciA75s+fDxsbm7TF1dU1k0q81EqAIIgUyjuWx8FWB9G6aGsurV57fy08T3nCL8KPpkgHEVtbI9+cOXDdtAmSfHmR4OeHt3364OPMmUiKjNL28Ijv6IWkkx6YoKAg7k1xdnZO9zxb9/f3z/A9//zzDzZv3oyNGzcqfZzJkycjLCwsbXn37l2G26Ul8VIIiSAIABZSC8ytOxcL6y2EnakdXnx+ge6nu+NeADUa1FUs69aB2wkv2HbtwtdD9+2Hb+tWiPzniraHRuQQqVjHc2ByQkREBHr27MmNFwcHB6XfZ2JiAmtr63RL1t2oqZAdQRBfaOHWAgdaHkBpu9JcodTvbD8cfXEUMplmfhkSOUNsaYG8M2ag4LZtkBYogMQPH/FuwAB8mDIFSZmkEBC6hzj1XixP79ApA4YZIWKxGJ8+fUr3PFt3cXH5ZnsfHx+evNuqVStIJBK+7NixAydOnOCP2euqkVFTITuCINLjbOGMbc234SfXn3jl3ulXp/PqvdEJlCyqq1jU/AFuJ44jT8+e/Ps+7PAR+LZshXBvbzI+BSWjTtbI8XJ05zc2NkbVqlVx/vz5tOeSk5P5eq1atb7ZvlSpUnj48CHu3buXtrRu3RoNGzbkj9NyW3KJ3E0lt/oIgiAUMZeaY1nDZRhVZRTERmKc9D0Jz5OeVC9GhxGZm8Nlyq8otGsnjAsVQmJAAN6PHoN3/QcgzveVtodHCDWJl8Ek1CwktH37djx58gRDhgxBVFQUVyUxevXqxXNYGKxOTLly5dIttra2sLKy4o+ZQZQzMu6FJI+7EQRBZFS5d0D5AdjSbAuczJ3wOvw1z4s5+Pwg/arXYcyrVkWR48fgMGwYjIyNEXX1KnzbtEHA0mUkudZRJLqcxMvw9PTE4sWLMX36dFSqVIl7Ury9vdMSe9++fYuPHz9CE5CMmiAIZaniXAWHWh3iRe/ikuLw27XfMPHSRHyO/UyTqKOITE3hOGI43LxOwOLHekBCAoI3bIBPy5YIP3eODFADL2RnJBNAVhurA8Pk1GHvX8I6X9G054fsuo0zj/zxW5uy6FWrsFbHSBCEMGAS6+2Pt2PFnRW8eq+NiQ1m156NhgUbantoRBawW1XkhQv4NHceEj584M8xo8ZlyhQeaiK0z/I/n2P5ny/Q7YeCmNeufPr7d1iYgiBHNQgs+zXFuktOluHyi0C8+5ySjEfdqAmCyElIqW+5vtjuvh0l8pRAWFwYRv41EmMvjkVgdCBNpI7C2tBYNWoEt1MnYT94EIykUkRdusyTfANXrqS+SjqANDWElKSrOTC6wBWfIPTcfBOP3qfI60ylgvwYBEFokYqOFbHPYx/6lu3LE3zPvTmHLqe64F//f+m86DAiMzM4jR6NIieOw6JOHcgSEhC0Zi03ZCKvUO0Y3ZBR66AKSeukyqg/hsXyv3YWxmhfJT9+KuWk5YERBCFEpGIpxlYbi/0t96OITREERAfwmjGr7q7i0mtCdzEpUgSumzYi/4oVkLi4IOH9e65U+vDrFCSFhWl7eAadA5Okq0m8uoB8cqoUzIOlnSvB1jynaiaCIIj0Xa13t9iNDsU78PUNDzZwufXDwIc0TToeVrJu1hRFT51Enh49UmrHHDnCk3wj/vxT28MzOCS6LqPWLukznKkCL0EQqsLK2Aoza8/kbQhsTWx5G4Je3r1w4NkBUrvoOCILC7hMnZJSO6ZIESQFBsFv+Aj4jRmDxOBgbQ/PAGXUyRo5nrAMGKOvK/BS/ReCIFTfhsCrrReaFGqCxOREzL4+Gwv/XUghJaHUjjl2FPYDBwJiMSLOeMPXoyXCvLzICNVoLyTywGSKfHLkGc8EQRCqxNbUFkvqL+EVfBm7n+xG15Nd8Tj4MU20jiMyMYHTuLEofGA/TEqVQlJoKD6MnwC/wUPS5NeEehCnthLQyV5IuoI8w5laCBAEoc78ClbBd3H9xbxWzLPPz9DzdE9qCikQzMqWRZGDB+A4ehSXXEf+/Td8PFoieNMmyOLjtT08vfbAJFEIKXPkGnNqIUAQhLppVrgZjrc5jgauDdKaQk66PAmR8ZE0+ToOM1wcBg9GkaNHYFatKmQxMQhYvAS+7dsj6uZNbQ9Pf2XUSeSByVRGLXdPkQeGIAhNYG9mjxUNV2B4peG8ZszpV6fR0asj7gfepxMgAEyKFUOhnTuRd/58iO3sEP/SB2979caHiRORGBSk7eHpYTdqmUaOJ7AQUnr3FFXgJQhCkxV8B1UchG3NtyG/ZX68j3yP3md6Y/399UhKTqITIYCQoG27tih65jRsu3ZJkVwfPwEf9xYI2bMHsiQ6h0LrhSQwAyZ9Ei/JqAmC0DSVnCrhYKuDcC/sznsp/e/e/zD8wnBEJ6S0NiF0G7GNDfLOmMGTfE3LlkVyRAQ+/TYbrzt7IubhI20PT9BIUnNgKISUVQhJbsCQCokgCC3VjFn440LMrTsXpmJT/PP+H3Q40QG3/G/R+RAIZuXLcyPGefo0iKysEPv4MV57euLTwt+pr9L39kKiEFLmyENIlMRLEIQ2QxKti7bGpmabkNciL/wi/Xgbgk0PN1HNEYFgJBbDrls3Hlay9vBgnYIRsnUrfFu3QdT169oenuAQUy+krKAkXoIgdK8p5JHWR9CmaBvIIMOKOyt4SOlj5EdtD41QEomDA/IvWYwC69am9FV69w5v+/TFh6lTqa9SrmTUlMSrhIxakCk8BEHoGZbGlphTdw6m15oOiUiCS36X0OZ4G3i/9tb20IgcYNWgAdxOeiFPt258PezQYd5XKfzsHzSPOShkR5V4s5RRUyE7giB0j04lOuFgy4Oo4lQFMYkxmPD3BMy7MQ9xSXHaHhqhJGJLS7hMn4ZCe3bD2M2N91V6P2oU/EaMQEJAAM2jMiokKmSXEendU6RCIghC1yiWpxi2NNuCHqV78JDS3qd70c+7HwKi6eYnJMyrVOEF8OwHDwIkEkSc+5P3Vfq8/wBkGrpBC1WFlEiF7DKHeiERBKHLiEViTKwxEesar4O1sTUeBD1Al5Nd8CDwgbaHRuS0r9Lo0Shy+BBMy5Xjkmv/GTPw2rMLYh4+pLn8CnlttgSqA5OVjJpCSARB6D518tfBPo99KGZbDIExgejj3Qfr7q/jXa4J4WBasiQK79sL58mTILKwQOzDh7xuzMfpM5D4+bO2h6czUBKvEshDSCSjJghC13G1dsWuFrvwk+tPvJfS6nuruUqJeikJCyOJBHa9e8ONSa5btwJkMoQeOADf5u74vG8/VfKFooyaVEgZXULpJkee8UwQBKHLWEgtsLzhcsyrO48Xvrvy/gp6e/cmqbUAkTo5If/vv6PQrp0wKVGCy6z9Z85MCSs9MOwQoZQK2WUfQqJCdgRBCLHwXauirXgvJXtTezz//BztTrTDnid7kCyjpFChYV6tGoocOQznX3+FyNISsY8ecSPm47RpBhtWEqd6YFiURCZTvxdGkC4MeSsB6kZNEITQKOtQFns89qCCQwVEJURh/s35GPDHAPhH+Wt7aERuwkq9evJKvjZt2qSElQ4egg8PK+0zuLCSVCEqool+SAIzYNJ3uqRu1ARBCJF8lvmww30HpvwwBWYSM/zr/y/an2hPhe8EisTREfkWLuC1Y0xKlUIyDyvNwutOnRFz7x4MTUatqWq8AjNgUqAkXoIg9EFq3aVUF97Zupx9OUTER2D83+Mx69osnuxLCLR2zKGDcJ4yJaVB5H//4XWXrvgwZQoSQ0Kg74hTQ0iKBWfViaC7UVMIiSAIoVPIuhB2tNiBnyv8DCMY4dDzQxhybghCY0O1PTQit2Glnj1Swkrt2vHnwg4fgY97C4QePqzXjT6lCu195C1/1ImgK/FSLySCIPQBqUiKEZVHYNVPq3hI6Yb/DXQ62Qn3Agwn/KCPDSLzzZ+HQnv2pIWVPk6Zirc9eyHO1xf6iOiLA4Y8MJlBvZAIgtBH6rvWx073ndwrw5J6+3r3xbZH2/T6V7u+Y16lMg8rOY0fDyMzM0TfuoVXbdoicNX/kBwfD31T2kk12JFakCGkL60EFMw9giAIPaCkXUnsb7kf7oXdkShLxJLbSzDywkh8jjVMaa6+hJXs+/eDm5cXLH6sB1lCAoJWr+aGTNTNm9AnxPKGjhRCypgvzRyFZX8RBEEoW/hu4Y8LMa3mNBiLjHHR7yLaHm+Lc2/O0QQKGOMC+eG6fj3yL1sKsYMD4l+9wttevXmSb1JoqF5JqRM00A9JYBYA9UIiCMIwYO74ziU7Y7fHbt5LKSQ2BGMvjsUvf//CHxPCPa/W7u4oevoUbD09vyT5tvBA2IkTgg8XSiiElF0lXkriJQjCMChlV4qHlAaWHwixkRhnX59Fu+PtcMnvkraHRnwHYmtr5J01k9eOMS5WFEkhIfgwYSLe9R+A+LdvBTu34jQPDOXAZAh1oyYIwpAwFhtjZJWR6bwxw84P4zVjohOitT084jtrx7gdOQLH0aNgZGyMqKtX4duqNYLWb+C5MkJDSh6YzPjaA0NJvARBGA5l7ctiX8t96FmmJ19nNWM6nOiAO5/uaHtoxHfADBeHwYPh5nUC5rVqQhYXh8Bly/CqQ0fBNYgUp3WkphyYDPnSjZoMGIIgDAsTsQkmVJ+AzU03I69FXvhF+qGPdx8svb0U8Un6Jcs1NIwLFULBLVt4WwKxrS3inj/nlXw/zZ+P5KgoCAGpBjtSC1RGnWLZUSE7giAMlRp5a+Bw68NoW6wtZJBh66Ot8DzpCd8w/SySZkhJvqwxpNvpU7Bu3QpITkbI9h08rBR56ZJwPDBJ5IFJj5ERkpNlkBt2EvLAEARhwFgZW2F2ndlY0XAF7Ezt8DL0Jbqf6o4jL44IXs1i6Ejs7JD/99/hunEjpPnyIeHDB7z7eRDe/zJep/sqSagOTOYkKrilqA4MQRAE8FPBn7g3popTFUQmRGLG1RkY+MdA+EX40fQIHMt6dXlujF3v3oBIhPCTJ+HLJNfHj+ukkUohpCxQjKsptu4mCIIwZBzMHLC52Wb8Uu0XmIpNU/opeXXCmVdntD004jsRWVjAefIkFN6/j/dVYkXvPkyclCK59tMtI5VCSFmgmNlMSbwEQRBfkIgk6F22N460PoLKTpW5N2bCpQm8+F1QTBBNlcAxK18eRQ4egOPYsTAyMUmTXAdv2QpZYiJ0AZJRZ4FifwVK4iUIgvgWV2tXbGm2BYMrDk4rftfmWBsce3lMJ8MOhPIYSaVw+Hkg3I4fg/kPP0AWE4OA33/Ha88uiHn8WIdk1KRC+oZEBQ8M5fASBEFk7o0ZVmkY9nrsRWm70giPD8e0K9Mw5uIYRCUIQ5JLZI5x4cIouG0r8s6dA5G1NWIfP8brTp3hP2cukiIitDZ1cseCXC2sToQlo/6qEzWTmxEEQRCZU9q+NPZ47MGYqmMgFUlx/u153hjy4ruLNG0Cx8jICLYdOqDoqZOwbtGCS64/79oFnxYtEHbylFa8bWkqJA14YCTQk07UycnJiI+nIk6EsDA2NoaIuqoTGvDG9CvXj+fFTL48Ge8j32PEhRHoWqorT/plrQoI4SJxdET+pUtg27ED/H+bjfjXr/Hhl18QevgQXKZNh4lbEY33QlJM91AXgjNg5MVxFGvAMMPl1atX3IghCCHBjJciRYpwQ4Yg1A0zYI62OYo199Zg2+Nt2Pt0Lx4GPsTiBouR3zI/nQCBY1G7NoqcOI6QzZsRtG49oq9dh2+bNrDv3w8OgwZBZGamwSRe9d+PBWfARMcnpZNQMxfZx48fIRaL4erqSr9mCcHADO4PHz7w67dgwYIUEiU0gpnEDOOqjUN1l+rcG/Mo+BE6e3XGvLrzUN+1Pp0FgSNifZWGDIF1y5bwnzMHUX9fQvC69Qj3OgnnaVNh1aCBhmTU5IFJBzNW2q+5mm6SEhMTER0djXz58sHc3FytJ4YgVI2joyM3Yth1LJVKaYIJjfFjgR9xsNVBjP97PB4EPcDwC8N5k8jRVUZTSEkPMHZ1heu6dYj48098mjsPCe/fw2/wEFg2bgSXX3/l1X3VARWyy4T4pGS+MDzK5+V/k5JSPDLkgieEiPy6lV/HBKFJ8lnmw7bm29CjdA++vvO/nehxugdeh72mE6EnSb7WTZrwJF+7/v0AiQSRf56Hj0dLBG/aBJka8kapG7USVXgnuZf+5kQRhNCg65bQNlKxFBNrTMSqn1bB1sQWT0KeoPPJzlQzRt8q+Y4fjyJHDsOsWtWU2jGLl8C3fXtE3byplhwYTSTxCkpGrRhToyq8BEEQqqOBawMcanUINVxqICYxhteMmX19NhKSE2ia9QTTEiVQaOdO5J0/H+I8eRD/0gdve/XmbQkSg4NVcgy5QlgTMmqRYPsgURU7giAIleJs4YwNTTZgROURMIIRDj4/iGF/DuNF8Ag9qh3Tri2KnjkNW09P9gRvDOnj3gIhe/ZA9p3h7LT8VCpkl56k1Alh8yMiA4ZTuHBhLF++XOmL6/Xr1/wCvnfv3nddpARB6CdikRg/V/gZKxqu4Iqlax+vofup7ngS/ETbQyNUiNjWFnlnzUThfXthUqY0ksPD8em32Xjd2RMxDx/mer/UCykT5L0VJKmlioVMnz590LZt22+ev3jxIjcwQkNDldrPv//+i59//lmlY9u2bRtsbW1Vuk+CIIRFw4INsb35djibO+N1+Gt4nvTE2ntrqZeSnmFWsSKKHDgA56lTIbK0TGlJ0NkTH2fM5F2vc1vIThMyakGGkKTkfUknwyX5OEEQ6mpDcKDVATQv3BwyyLDm/hpM+WcKEpIoL0afMJJIYNejOw8rWbduxWqWIHT/fh5WCj18GLIcFKVLS+LVQCE7QRkwCakTklUCL6sVEx2fqJVFHX0n/vnnH9SrVw9mZma8UN/IkSMRFRWVaQjp6dOnqFu3LkxNTVGmTBn8+eef3KNz7NixdPv19fVFw4YNufFTsWJFXLt2Lc0D1LdvX4SFhfH3sWXmzJkq/1wEQQgDO1M7LKq/CDNqzeCdrb18vTDw3ED4R/lre2iEOloS/P47Cu7YDpPixZD0+TM+TpmKN926I/bJk5zlwFAvpPQkyz0wWYSQYhKSUGb6WWiD/35rBnNj1RU39vHxQfPmzTFnzhxs2bIFgYGBGD58OF+2bt36zfaslggLS7Gqrjdu3EBERATGjRuX4b6nTJmCxYsXo3jx4vxx165d8fLlS9SuXZsbRNOnT8ezZ8/4tpaWlir7TARBCJOOJToir0VejPt7HG5/uo32x9tjeq3paF6kubaHRqgYixo1UOTIEYTs2InA1asRc+8eXnXoiDzdu8Nx5AiIrawyfS91o86mD5K+SKhPnjzJjQPFxd3dPe31+fPno3v37hg9ejQ3NJhxsXLlSuzYsQOxsbHf7O/cuXPc6GGvM68K88TMnTs3w2P/8ssv8PDwQIkSJTBr1iy8efOGGzCssJqNjQ33vLi4uPCFDBiCIBh18tfBPo99KO9QHhEJERh/aTzmXp/LZdeEfmEklfIeSkVPn4JV8+Ypna537kzpdO3llWnEgbpRZ4K8ME5WHhgzqZh7QrQBO3ZOYCGctWvXpnuOeU569Eipinn//n08ePAAu3fvTnudXTSshw5rXlm6dPpifsxjwsJMzOiQU6NGjQyPXaFChbTHefOmVDUOCAhAqVKlcvQZCIIwLArbFMYO9x28IeTGhxux79k+/O33NyZUn4BGBRtRcUY9Q+riggLLlyHyn474NHs24t+8wYfxExB68BBcpk+DSbFimcioqRdSOuQxtaw8MMxzoMowjjqxsLBAsa9Ovp+fX9rjyMhIDBo0iOe9fA0LE30Pin135NVgqZs3QRDKIBFJMLLKSN7dmhW7+xj1EWMujkHNvDUxucZkuNm60UTqGZZ168Dc6wRCtmxJ6XR98yZ827aDXe9ecBw6lFf7ZVAvpExISrXo5J2o9Z0qVargv//+40bO10tGvZ9KliyJd+/e4dOnT+lk1jmF7Zt68xAEkR31CtTD8bbHMajCIBiLjHH943V0ONEBK++sRER8BE2gPna6HjwYbiz94aefWDdlhGzewnsrsaaR6btRkwopExm1oMRTuWbixIm4evUqT9plhedevHiB48eP8/WMaMKadhUtit69e/PQ05UrVzB16tQc99xhyibm/Tl//jyCgoJ4t2+CIIiMYMXuhlcejmNtjqFBgQZIlCXy0FLTQ02x5NYSBEYH0sTpGcYF8sN1zWoUWLsG0vz5kejvD7/hI/Bu+HCYh6acb2ol8BUJqUlD+pLEmx0sT+Xvv//G8+fPuZS6cuXKXB2UL5M26GKxmMulmfFRvXp1DBgwgCuMGExWrSwsWXjw4MHw9PTkdWZ+//13lX0mgiD0E1drV6xqtArLGixDUZuiiEyIxLbH2+Bx1ANr769FdAL9ENI3rBo2hNupk7BnxVRTO12XmPQz2vhcRlLi97UkUAYjWS6Kl6xevRqLFi2Cv78/V7usWrUq02TRjRs3clXMo0eP+HrVqlUxb968TLfPiPDwcK6MOfHvC4w49AwVC9jg+PC6/DWmxmEJrUWKFMnRTdpQYF4YpkZiCiPmnSF0C7p+CX0kWZaMy36XseHhBjwIfMCfYxV9p9Wchh8L/EiJvnpI7PPn8J8xEzF37/L1D86FUXv1YiQUdOX3b1ZbzNraWqXHzHEsZv/+/Rg7dixmzJiBO3fucAOmWbNmXMGSEawwGqsx8tdff/FiaUwl07RpU7x//z7Hg5WXJjYUD0xuOHr0KJdTs55HrIgdazNQp04dMl4IgtAYIiMR6rvWxy73XVj04yLks8iHT9GfMPzCcHQ/3R3/+uc8N48QQKfr3bsQ+PNYREpMke/Ta7zu3BkBS5ao7Zg5NmCWLl2KgQMH8mqtrNLrunXreDVXVmgtI5gEeOjQoahUqRKX6G7atImrXVh+RWbExcVxr4vikj6J1zByYHIDK143bNgwPtes3xILJbG8GYIgCE3Dcu9YobtjbY+hd5neMBWb4mHQQ/Q72w89TvdI884Q+oGRSITopq3wc+MJuF+iRkrtmD171Xa8HFkC8fHxuH37Nho3bvxlByIRX5eXos8OlhCakJAAOzu7TLdhBdyYy0m+MK+NYm8Fea8F4lt69erFc2ZYaIJJslljRnt7e5oqgiC0muj7S/VfcKbDGXiW9ITESIL7gfe5N2bY+WG48fEGNYnUE6RiI3w2tcaepgPhunEDJPnz64YBwxQpTF7r7Oyc7nm2zvJhlFXWsCRURSPoayZPnszjZfKFSYMVC+PIu10SBEEQwsHBzAFTa07FHx3/QEu3ljCCES75XcKAPwagk1cnnPA5QY0iBY5YoZCdZb16KLJ/n9qOpVFLYMGCBdi3bx/P08gq4dbExIQn+yguDOpGTRAEIXwczR0xv958nGh7gntkWGjp2ednvNN108NNsenhJlItCRRpaoqHPGIiMjPTDQPGwcGBS3UVC6Ux2Lpi+fqMYI0DmQHzxx9/pCtjnxMSZPrVC4kgCMLQ2xIwj8yfnf7EqCqj4GTmhKCYIKy4swItjrSA92tvbQ+RyCGa7IUkymmFViaDVkzAlSfk1qpVK9P3sTois2fPhre3N6pVq5brwSYp0QuJIAiCEBY2JjYYUH4AvDt4Y06dOShgWQDBscEY//d4LL29FAnJCdoeIqEk8kr5muiFlGNLgEmoWW2X7du348mTJxgyZAiioqK4KkmeRMpyWOQsXLgQ06ZN4yolVuGV5cqwhRVbyylyi85QWgkQBEEYElKxFG2KteGhpb7lUu4pWx9tRWevzrjz6Y62h0cogSQ1R1We8qFTBgyrzsrCQawiLJNGsxL3zLMiT+x9+/YtPn78mLY967bM1EsdO3bkXY/lC9tHTklM7a1AISSCIAj9NmTGVh2LRfUXwdbEFi9DX6K3d29MuzINobGh2h4ekQWa7IWUq7bNrBdPZv14WOE6RVhBNVWRaGC9kLQFO2essvHdu3e5kUoQBKENmhdujpouNbH8znIcfnEYx14ewy3/W1jdaDV1vNb5JF4d9MBok6TU1gpiPQkhBQYG8hBcwYIFufKKJUKzqsas/D9BEAQB2JraYmbtmdjpvhP5LfPDL9KP14858+oMTY9Oy6ipG3U6kuSF7PREhdShQwfu5WD5RKz43IkTJ9CgQQMEBwdre2gEQRA6RSWnStjjsQdVnKrwRpETLk3A0ltLkZSs/qaBhPLIC82SB+YrEpKVKGTHelPGR2lnyUFfzNDQUFy+fJknOTds2BCFChXiDS5ZAnTr1q3TynCzHCJ3d3eYmZnBzc0Nhw4dSrcfVuSvc+fOsLW15dWN27Rp803YjrVvKF26NK+9w1oMrFmzJt3rN2/e5J2u2etMJcaMKoIgCF3DztQOm5ttxsDyA/n61sdbMfDcQDwLeabtoRGpyFv9aMKAyVUOjLZQqpUAa9k+Lx+0wq8fAGMLpTa1tLTky7Fjx1CzZk0eQsoIpuBi9XNWrFiBnTt3okuXLnj48CE3SFhLBhZyYhJ2ZgxJJBLMmTMHzZs3x4MHD7jsnfWiYgnX//vf/7iRwowT1svKwsICvXv35mqwli1bokmTJti1axfv7D1q1CgVTwxBEIRqkIgkGFllJIraFsWMqzN4Y8jOJzujY/GOGFZ5GDdyCB2oA0MhJP2VUTNjg/UpYuEj5j1hHaN//fVXbngo0qlTJwwYMAAlSpTgtXSYh2TVqlVpncFZHR7mYSlfvjw3arZu3cqVYPJkatY1fMmSJWjfvj1PzGV/x4wZg/Xr1/PX9+zZw/exefNmlC1blhsz48eP18KMEARBKI+HmweOtTmGpoWaIlmWjAPPD6DlkZbY8XgHtSPQAQOG3a6T1eyFEZQHRl7ILssQktQ8xROiDdixc5gD4+Hhwb0n169fx5kzZ3jRP2aQsE7SjK8LBLJ1Jl1n3L9/Hy9fvoSVlVW6bVgjRx8fH16fh/3t378/97rISUxM5E0yGayWD6uMrNjaIauihARBELpCAasCWNJgCVcmLfx3IZ6GPMWiW4tw8PlBjK8+HvXy1+OheELzdWA0EUYSlAHzRUadxQXJLlYlwzi6ADMcWPiGLSxcxLwtzGsiN2CygoV/WGVkFib6GkdHx7Rigazw4A8//JDuddYSgiAIQh+o5lIN+zz2cZn1yrsr8Tr8Ne9yXdquNHqW6cnl2Ky2DKF+FCMk8rQPdSEoGXVaITs9CCFlRpkyZbjnRA7zzCjC1lmoiFGlShW8ePECTk5OKFasWLqFeVhYcUHW+dvX1/eb11k4icH2xcJWzGuT2TEJgiB0HbFIjA4lOuBUu1PoU7YPbxD5JOQJfv3nV7Q/0R73AlI814QmDRj1emCEZcDoUSE7JpX+6aefeOIsMyBY8uzBgwd5CIkpieSw51gbBiazZp4ZphiSFxHs3r07b7DJtmdhKLYPlvsycuRI+Pn58W1mzZqF+fPnY+XKlXwfLAGY5cksXbqUv96tWzfuYmUhpv/++w+nT5/OVZVkgiAIXcDS2BLjqo3DuY7neINIe1N77pHpdaYX1t5fS7JrTYaQ1NwPSVCWQJIeJfEyBRIL6yxbtgw//vgjypUrx0NIzJBgiiE5zADZt28fz1PZsWMH9u7dy700DHNzc1y6dIkXwmPJucybwvJdmDfF2tqab8NCUiynhhktLNG3fv36PHlY7oFh4/Dy8uKGDVMpTZkyhUu7CYIghF4AjzWIPN72OFoXbQ0ZZFhzbw0vgvc46LG2h6fXheyMjDQTQjKSyXJQvERLhIeH85BIvw0Xcd4nErPblEXPWoX5a+xmzTwP7IasmIiqDzDPyNGjR9G2bVttD4VQE/p8/RKELsHyY36/+TsiEiIgMZJw70zvsr0pyVcNFJ9yGglJMlyd9BMsRQn8/h0WFpb2w9rAZdSCGjZBEAShZdoWa4sT7U5w2XWiLBFLbi/ByAsjERIbou2h6W0YKZFCSF+gbtQEQRBEbnEwc8Di+osxreY0GIuMcdHvIlofa40jL47wWjKEiovZkQrpC4mp11eWlXj1CBbdo/ARQRCEakPznUt2xq4Wu1AyT0mExYXxir5dT3XFJb9LNNUqQJ6nSiqkDArZKWY5EwRBEEROKW1fGvta7sMv1X6BmcQM/wX/x2vHjLowCo+DKclXJf2QKIT0Bbk7Su6eIgiCIIhc32hFEp7I693Bmxe8M4IRLry7gC4nu2DwucG48+kOTW4uoBBSBlASL0EQBKFqWAPICdUn4Gibo2jp1hJiIzGufLiC3t69MeLCCPhH+dOk5wAKIWWA3B1FHhiCIAhC1bAO1/PrzYdXOy90LNGRe2guvruIlkdbYsWdFYhLiqNJVwJSIWVAkkx/CtkRBEEQuomrlStm1JqB/S33o6pzVW64bHq4CZ5enrj24Zq2hyecEFIS9UJK45l/RFqlP4IgCIJQJyXylMDWZluxouEKHmbyCfPBz+d+xvi/xyM0NpQmPxPk9+hum26kVdBXB4KT81iaSFDMyVLbw9BrXr9+zaWG9+4p3/xs5syZqFSpklrHRRAEoWnYd+FPBX/CibYn0L10d54f4/3amzeIvPr+Kp2QDKhSKE/a40/hXxoFG7QB07ZSPtyc0ghOVsIvud6nTx/+H4MtUqmUl5KfMGFCuq7Q2sLV1RUfP37k/ZmU5ZdffsH58+ehbpihJJ83xaVUqVJqPzZBEIaLjYkNJtWYhN0tdqOITREExgRi0J+DsPDmQsQkxmh7eDrF3LZf7h3kgUnF1sIY5sYS6AvNmzfnhoKvry9v6rh+/XrecVrbiMViuLi4QCJRfq5ZU0h7e3togrJly/J5U1z++ecftR4zPj5erfsnCEIYlHUoiwMtD8CzpCdf3/VkF9ofb4/bn25re2g6A/tRaW2acv9IUGM1XkF5YMTyFpfZVK+NTojWypLTvpgmJibcUGAeD1Zxt3Hjxjh37lza68nJyZg/fz73zpiZmaFixYo4dOhQ2usXL17kF8rZs2d5J2m2zU8//YSAgACcOXOGd6dmzbO6deuG6OjotPd5e3ujbt26sLW15UZHy5Yt4ePjk2kISX4c5mGpVq0a74Jdu3ZtPHv2LNMQEvMwsc+0ePFi5M2blx9n2LBhSEhISNuGGR4eHh583Owz7tmzB4ULF8by5cuznDdmWLF5U1wcHBzSXmf7mDdvHvr16wcrKyverXvDhg3p9vHu3Tt07tyZz4GdnR3atGnDP/fX4587dy7y5cuHkiVL8uevXr3KPydrvMjm4tixY2lzxc5/sWLF+GdWhL3Gtnn58mWWn4sgCGFgKjHF1JpTsbrRajibO8Mv0g/9zvbDxgcbqSVBKtLUYnbyArTqQFDuDKkSybvMlffDnh+gDW50uwFzqXmu3vvo0SN+cyxUqFDac8x42bVrF9atW4fixYvj0qVL6NGjBxwdHVG/fv10xsP//vc/bliwmzJbmHHEDILIyEi0a9cOq1atwsSJE/n2UVFRGDt2LCpUqMBfnz59Ot+G3WhFWVQ5njJlCpYsWcKPP3jwYG4gXLlyJdPt//rrL268sL/s5u3p6clv/gMHDuSv9+rVC0FBQdxAYmE0NiZmfKkCNs7Zs2fj119/5UbfkCFD+JwxQ4QZUc2aNUOtWrVw+fJlbhDNmTOHe8QePHgAY2Njvg9msDEDUG5Usq7orVq1QosWLfjcvnnzBqNHj047JjNS2Jxs3bqVh9TksPUff/yRGzcEQegPPxb4EcfaHMO8G/Pg5euFlXdX4tanW5hXdx7szTTjkdb1RF519kMSlAEj1rMWAidPnuShl8TERMTFxXHjgRkiDLbOvAh//vknv9Ey3NzceKiEhZoUDRh2861Tpw5/3L9/f0yePJl7VNj2jI4dO3IjQm7AdOjQId04tmzZwo2S//77L8u8F+aNkB930qRJ3HvCcnaYNyIj8uTJwz8PC0mxHBW2PTMKmAHz9OlT/tn+/fdf7slgbNq0iRtq2fHw4UM+b4oww44ZenKYkTF06FD+mH1uFqJjc8AMmP3793PvFjseMzrkRgbzxjBjqmnTpvw5CwsLvo3coGH7Z9tv3LiRf+YyZcrg/fv3aQaZ3HPDDMKbN2+iRo0a3Fhixs7XXhmCIPQDS2NLzK07F9VdqnND5uqHq2h7vC2GVhrKa8lIRVIYsgcmkTwwKYjF2U8a62nBPCHagB07JzRs2BBr167lHhF2g2WeALlxwTwWLOzTpEmTb3IxWLhIEeZJkePs7Mw9MXLjRf4cu6HKefHiBb/J3rhxg3tA2M2c8fbt2ywNGMXjMM8Kg3lMWIgms1wVZrwovocZHwwWfmKft0qVKmmvMw8FM3qygxkhJ06cSPcc85RkNlZmdLAwk9y7c//+fT6/LLykCDPGFENp5cuXTzNe5GNm+1U02JiRoggLNzFDjRmF7DUvLy9ujHbq1Cnbz0UQhDBh3zHtirdDeYfyGH9pPF6GvuTGzN6nezG/7nyeN2NoSDTQ0FFQHhhlKvCyCym3YRxNw37hy8MK7IbHclw2b97MvSgstMM4deoU8ufPn+59LDykCAu/yJGrmhRhz8mNFAYLg7BQFfMksBsue40ZLtklqn59HIbifrPaPqNx5BZmVGQXjsnq2Gxuq1atit27d3/zPuaJUjw/uWHAgAHo2bMnN0qZZ4eFzphRSRCEflMsTzEcbHUQh58fxup7q/Eq7BV6nemFfuX74efyP0MqlhpcCClJjR4YkRA7XOojLHzE8jWmTp2KmJgYHp5ghgrzirCbteLCkn5zS3BwMPcksOM0atSIJ/p+/vwZmoZ5UVjo7O7du2nPMa+IJsbCvD7MC+Xk5PTN3NrY2GQ5ZuZBYh4VOSwE9jUsfMWMH+ZdYwnTLC+GIAjDgLUf8CzliZPtT6KBawPEJ8dj3f11vK/Su/B3MBSkqSkf6vTACMoi0PceSCzMwEIuq1ev5uENlgg6ZswYbN++nYc27ty5w5Nx2XpuYSEapghiqhxmMFy4cIEnz2oalhPDVFc///wzD28xQ4Y9ZookuXcnM5jh4+/vn2759OmT0sfu3r07Vy0x5RFL4n316hXPfRk5ciT8/PwyfR9TczEvDhvnkydPuPpLntuiOGZ2DlkuDMtFYjk98hwmgiAMB2tja6xsuBKL6i/ijx8GPURHr444+uJojhWrgk7ilZEBkzIhet4DieWEDB8+HL///jvPi2EqmmnTpnE1EvOUMJUMCykxyfH3eHr27duH27dv87ARM5AWLVoEbbBjxw6en8MUOkwFxZJhmeGWWVKwnMePH/N8GsVFUb2VHSycwxRdLHenffv2fG5Z2I7lwHydS6MIe43ltDC1FlNTMVUWyyVifD1mtj8Wkuvbt6/S4yIIQr9gP2yaF26Ow60Po5pzNUQnRmP61ekYe3Gs3rcikIrV3w/JSCYAU5DJV5lrf+uFx+jTsEy619hNh/2CZjf17G58hG7DvB8sPMbUSSy8JQRYHg0zUsLCwrj3SA7z7LDPwOrNMCMtM+j6JQjDICk5Cdseb8P/7v0PicmJvLfS8MrD0b5Ye4hFSihUBEb7NVdw520olrYrgQ41S/DvyKx+IOp9CImaOOoXLHzF1ETMAGU1cLp06cKL0DGPjK7CvEZMys7GzIrYMYk2q7sjN15YfgwzxFhtHhYSzMp4IQjCcGBGSv/y/bGnxR4UtSmKkNgQ/HbtN3Q62YlLr/UNiQYK2YmEKMsi9ANWI4UlLjO5NQshMQWQvKidrsLybVjNGRZ2YuE3ZqQoVvndu3cvD2eFhobyUCBBEIQipe1Lc6US66vEcmNefH6BQecGcWMmKiFK/0JIyRRC4iGkA1eeoVPtEukmiVzwhJCh65cgDJewuDCsvb8Wu5+klHRwNHPE2Gpj4VHEI1sxg67Ta8tNXHoeiNnubujVoAyFkPQ9iZcgCIIwvA7X65ush6uVK+9wPfnyZPTx7oM34W8gZKQaaCUgrBCSnsuoCYIgCMOjdr7aONrmKEZWHglTsSnuBNyB50lP7Ppvl2CbQ4pJRm04hewIgiAIw8VEbIKBFQbiRNsTqOpclefDLPx3Ifp698W//t8WzNR1NNGNWlAWgVTgMUGCIAiCyIq8lnmxuelmTP1hKjdqmDem39l+mHl1JlcuCa8btUxtxxCUAUMyaoIgCMIQJNesHQHzxnQqkdII9vCLw2h+uDlW3V2F6IRoCKaZoxoL2QnLgKEkXoIgCMJAyGeZD9NrTcfWZltRxr4MYhJjsOHBBrQ62gqnfE/pdEsC6oX0FZTEq9sw2R8r7kYQBEGojmou1bDPYx+WNViGApYFEBATgEmXJ3G10rOQZzrtcEhKUt8xBOWB0adCdoGBgRgyZAjvx8O6Tru4uKBZs2a4cuUKdI1t27Zx4ySr5fXr1/j48SPc3d21PVyCIAi9g33PNi7UGMfaHsOIyiPS1EqdT3bGnOtzeE0ZXYJk1F8hSW3PrQ906NCBd2BmnaWfP3/OS+o3aNAAwcHBaj0uazCYUzw9PblxIl9Yd2XWeFHxOdbDiBlhzBgjCIIg1ANL7P25ws/waueFZoWbcZn1/mf70fpYa5z2Pa0zYSVx6v2aknjlE6KEB4advOToaK0syl44rMw8a/a3cOFCNGzYkJeer1GjBiZPnozWrVuns7jXrl3LvRqs146bmxsOHTqUbl+sF0+JEiV4h2X2OutezUr0y2E9eVjn5E2bNqVreMnGMGDAAF6+nzXY+umnn3D//v0Mx8uOzYwT+WJsbMyPp/icWCxOF0JiHhm2fuDAAdSrV4/vo3r16txY+/fff1GtWjVYWlryz8a8UYqwsbJS/WyspUqVwpo1a5SaV4IgCEPBxcIFi+svxpZmW1DMthhXKE28PBHDLwyHT6iPQbQSkEBAyJOCskIWE4NnVapCG5S8cxtG5ubZbsdu3GxhN/uaNWtm6bVgBsmCBQuwYsUK7Ny5kzc8fPjwIb/BM6ysrHiIJ1++fPx55hlhz02YMCFtHy9fvsThw4dx5MgRbmgwWA8fZlScOXOGt2lYv349757MDAw7OzuoihkzZmD58uU8VNavXz9069aNj499HmYEsUaI06dP54aavLszW//f//6HypUrcy8V+0wWFhbo3bu3ysZFEAShD1R3qY4DLQ9g06NNPMH3kt8lXPa7DA83D0z+YTLvt6RVGTXVgUk/IUJHIpFwo4OFj2xtbVGnTh3e1PDBgwffbMsMDeYpYV6W2bNnc8/FqlWr0l6fOnUqateuzbs4t2rVCr/88gv3enwdNmJdlJlBUKFCBd5N+ebNmzh48CDfX/HixbF48WI+lq89PN8LGw/L7WEG16hRo3D79m1ulLHPzMbTv39//PXXX+kMniVLlqB9+/bcY8T+sqaJzMAiCIIgvkUqlmJIxSE41OoQGhdsDBlkOOl7Ep29OuNuwF3tdqNWYx0YgXlgsjdgjMzMuCdEG7Bj5yQHxsPDg4eSrl+/zj0hrHsxC5/06dMnbTuWb6IIW793717a+v79+7Fy5Ur4+PggMjISiYmJPCSkCAtRsVCRHBYqYtva29un2y4mJobvR5Uwg0mOs7Mz/1u+fPl0zwUEBPDHUVFR/PjMqGFeFznsMzEvEUEQBJE5RW2LYlnDZXgQ+AATLk3A+8j36HWmF9oXb48xVcbA1tRWr5J4JfrmgeGqGCXCOLoAy/Fo0qQJX5hXgnlamAdC0YDJimvXrqF79+6YNWsW93Kwm/y+ffu4B0MRFn5RhBkvefPmxcWLF7/ZJ/PCqBKpVJr2WN5d9evnklMvcDYuxsaNG/HDDz+k24889EUQBEFkTQXHCjjY6iAW31qMIy+O8OXC2wsYU3UM2hZrC5GRSGM5qxRCSpsQ/VEhZUSZMmW4F0IR5p35el2e/3L16lXuXZkyZUpaKOjNm+w7mFapUgX+/v48lFWsWLF0i4ODA7QF88awXB5fX99vxsXCSQRBEIRyWBlbYVbtWdjpvhMl8pRAaFwoZlydgd5nemukdowmCtkJygOjL4XsmFSa5bawpFYWYmFJrbdu3eIhpDZt2qTbVp6nUrduXZ7gynJXNm/ezF9jBsvbt2+514UpfE6dOoWjR49me/zGjRvzUFTbtm35MVl+zYcPH/j727Vrx4+nLZg3aeTIkdyb1Lx5c8TFxfG5+fz5M8aOHau1cREEQQiRSk6VsL/lfux+shtr7q3BvcB7vNN1rzK90L98f9iY2Kg5iZdaCehVITumQGIhkmXLluHHH39EuXLleAiJ5X0w9c3XN3RmoDBDhyXi7t27l3tqGExyzRJchw8fzqXSzCPD9pMdLGxz+vRpfuy+fftyA4apm5j3Rp6noi1YGI3lAW3dupXnytSvX58nPJMHhiAIIndIRBL0Ltsbx9se50m+SbIkbH28FS2OtMCV91fUKqNOUmNdGiOZrlS9yYLw8HD+i/zz51DY2qa3FmNjY/Hq1at0NU70BWZoMI8K85QQ+ok+X78EQegmf7/7G8vvLMfL0Jd83b2IOyZUnwAHM9WlEOy58Ra/Hn2IHwtbYOeQhggLC/tGYPK9CCqpRKQnISSCIAiC0Bb1XetjX8t96FKyC4xghDOvznDJ9fk351VWyVceMUlSowpJUAYMQRAEQRDfD2tJMKXmFG7IsEq+gTGBGH1xNAadGwTfUF8VVuKF2iADRodhljCFjwiCIAh1Uca+DPZ47MHA8gMhFUlx7eM1dDjRASvurEBC8pe2NLnuhURJvARBEARBqAMziRlGVhmJ422Oo6FrQyTKErHp4Sb0PN0Tb8KzL82RVSE7dVbi1RsPjABykQniG+i6JQhCV3C1dsXKn1ZiSf0lvIfS4+DH6HiiIwb/ORg7/9uJxOTEHMuoE9TYC0lQdWAyglV1ZWod1tGYlcuXV3slCCEYL+y6ZdesYnVigiAIbdK0cFNezXfKP1Nw0/8ml1qzxfuVN+bUnYMiNtkXFpVSL6TsYSXmCxQoAD8/P7x+/VolJ48gNAUzXtj1S60SCILQJVwsXLCp6SZcfn8Zt/xv4dDzQ3gQ9ACdvDphdJXR6Fa6W5YtCdIK2alRhSSoOjBZ6ciTkpKQkJD7hCOC0AbM80LGC0EQuo5/lD+mX5nOk3wZ1V2qY3ad2chvmT/D7a/6BKHbxhsobG2Ev6d4qKUOjOBDSHLYTYBuBARBEAShHo/M+ibrceDZASy5vQT/+v+L9sfbo5RdKTiaO2JU5VE8h0aTISS9SeIlCIIgCEK9IW/PUp441OoQKjtVRnRiNO4E3MHZ12fR9XRXXP94PYMkXh0rZLd69WoULlyYlz5nPX1Yg8GsYA0JS5Uqxbdn/W1YHx6CIAiCIIRHQeuC2NpsKzY02YDF9RejvEN5hMWFYeAfA3mOzMgLI3Hs1RbAKE63PDD79+/nXYFnzJiBO3fuoGLFimjWrBkCAgIy3J41GOzatSv69++Pu3fv8sJsbHn06JEqxk8QBEEQhIYRi8Sola8WmhVuhq3Nt6KVWyv+/NOQp/jr3V84+nobLNxWIM70i1dG60m8zONSvXr1tK7JycnJcHV1xYgRIzBp0qRvtvf09ERUVBROnjyZ9lzNmjV59+R169ZleIy4uDi+yGHJPwULFsS7d+9UngREEARBEMT3wUyJuwF38Tn2M4Jig7DpwRZEJIQhKSYJz8c+R2hoKBfjaC2JNz4+Hrdv38bkyZPTnhOJRGjcuDGuXUvJTP4a9jzz2CjCPDbHjh3L9Djz58/HrFmzvnmeGUoEQRAEQQiL4OBg7RowQUFBXK7s7Oyc7nm2/vTp0wzf4+/vn+H27PnMYAaSotHDLLdChQrh7du3Kp8AQ4LJ0ZkRSJ4smktdgq5Lmkddg65J1SGPoNjZ2UHV6KSM2sTEhC9fw4wXCiF9P2wOaR5VA82l6qC5pHnUNeiaVB0sWqNqcrRHBwcHXmvl06dP6Z5n6y4uLhm+hz2fk+0JgiAIgiBUasAYGxujatWqOH/+fNpzLImXrdeqVSvD97DnFbdnnDt3LtPtCYIgCIIgVB5CYrkpvXv3RrVq1VCjRg0sX76cq4z69u3LX+/Vqxfy58/PE3EZo0aNQv369bFkyRJ4eHhg3759uHXrFjZs2KD0MVk4icm2MworEcpD86g6aC5pLnUNuiZpLg3tusxVLyQmoV60aBFPxGVy6JUrV3J5NaNBgwa8yN22bdvSFbKbOnUqb7ZYvHhx/P7772jRooVqPwlBEARBEAaDIJo5EgRBEARBKEK9kAiCIAiCEBxkwBAEQRAEITjIgCEIgiAIQnCQAUMQBEEQhODQeQNm9erVXNVkamrKlU43b97U9pB0jkuXLqFVq1bIly8fjIyMvukzxfK0p0+fjrx588LMzIz3rnrx4kW6bUJCQtC9e3deedLW1pZ3D4+MjIQhwaT/rFGplZUVnJyceNf0Z8+epdsmNjYWw4YNg729PSwtLdGhQ4dvCjWylhesZIC5uTnfz/jx45GYmAhDYu3atahQoUJaJVNW9+nMmTNpr9M85o4FCxbw/+OjR4+mucwhM2fO5HOnuJQqVYrmMZe8f/8ePXr04N+F7L5Svnx5XiJFo/cdmQ6zb98+mbGxsWzLli2yx48fywYOHCiztbWVffr0SdtD0ylOnz4tmzJliuzIkSNMUSY7evRoutcXLFggs7GxkR07dkx2//59WevWrWVFihSRxcTEpG3TvHlzWcWKFWXXr1+XXb58WVasWDFZ165dZYZEs2bNZFu3bpU9evRIdu/ePVmLFi1kBQsWlEVGRqZtM3jwYJmrq6vs/Pnzslu3bslq1qwpq127dtrriYmJsnLlyskaN24su3v3Lj83Dg4OssmTJ8sMiRMnTshOnTole/78uezZs2eyX3/9VSaVSvncMmgec87NmzdlhQsXllWoUEE2atSotOdpLpVjxowZsrJly8o+fvyYtgQGBtI85oKQkBBZoUKFZH369JHduHFD5uvrKzt79qzs5cuXGr3v6LQBU6NGDdmwYcPS1pOSkmT58uWTzZ8/X6vj0mW+NmCSk5NlLi4uskWLFqU9FxoaKjMxMZHt3buXr//333/8ff/++2/aNmfOnJEZGRnJ3r9/LzNUAgIC+Lz8/fffafPGbsIHDx5M2+bJkyd8m2vXrvF1ZrCIRCKZv79/2jZr166VWVtby+Li4mSGTJ48eWSbNm2iecwFERERsuLFi8vOnTsnq1+/fpoBQ9dkzgwYdrPMCJrHnDFx4kRZ3bp1M31dU/cdnQ0hxcfH4/bt29ztpNgMiq1fu3ZNq2MTEq9eveIFBxXnkTXFZOE4+Tyyv8x9x6ory2Hbs/m+ceMGDLmLKkPeRZVdjwkJCenmkrmgWadVxblkrlTFDuzNmjXj3W0fP34MQ4R1sGcVuFnFbhZKonnMOSxsycKSitceg+YyZ7AQBgu1u7m58dAFC/fSPOacEydO8PtFp06deJi8cuXK2Lhxo8bvOzprwAQFBfEvPsUbAYOts4khlEM+V1nNI/vLLkJFJBIJv3Eb6lyzHl8sz6BOnTooV64cf47NBesHxv7TZTWXGc21/DVD4uHDhzxPiJUQHzx4MI4ePYoyZcrQPOYQZvzduXMnrT2LInRNKg+7ebIK8d7e3jxHi91k69Wrh4iICJrHHOLr68vnkFXWP3v2LIYMGYKRI0di+/btGr3v5LgXEkEYyi/eR48e4Z9//tH2UARLyZIlce/ePe7JOnToEO+h9vfff2t7WILi3bt3vJ8ca4DLhAxE7nF3d097zBLMmUFTqFAhHDhwgCeZEjn7gcc8J/PmzePrzAPDvi/XrVvH/59rCp31wDg4OEAsFn+j8GDrLi4uWhuX0JDPVVbzyP4GBASke52pZliGuCHO9fDhw3Hy5En89ddfKFCgQNrzbC5YaDM0NDTLucxoruWvGRLMW1WsWDHewZ55DypWrIgVK1bQPOYAFiJi/zerVKnCf52yhRmBrP8ce8x+0dI1mTuYJ7VEiRJ4+fIlXZM5hCmLmDdVkdKlS6eF5DR13xHp8pcf++I7f/58OquPrbM4OqEcRYoU4ReD4jyyfAwWY5TPI/vLbsrsy1LOhQsX+HzLm3QaAiwHmhkvLNTBPj+bO0XY9SiVStPNJZNZs/+0inPJQieK/zHZr2cmE/z6P7yhwa6nuLg4mscc0KhRI349MU+WfGG/fFn+hvwxXZO5g8l1fXx8+M2Y/m/nDBZa/7rExPPnz7lHS6P3HZmOy6hZ1vK2bdt4xvLPP//MZdSKCg8iRaHAJLtsYad06dKl/PGbN2/S5Gxs3o4fPy578OCBrE2bNhnK2SpXrswlcf/88w9XPBiajHrIkCFc9nfx4sV0Usvo6Oh0klUmrb5w4QKXUdeqVYsvX8uomzZtyqXY3t7eMkdHR4OTUU+aNImrt169esWvObbO1AV//PEHf53mMfcoqpBoLpVn3Lhx/P82uyavXLnCSx2wEgdMbUjzmHNJv0Qikc2dO1f24sUL2e7du2Xm5uayXbt2pW2jifuOThswjFWrVvEbBqsHw2TVTC9OpOevv/7ihsvXS+/evdMkbdOmTZM5Oztzg7BRo0a8NociwcHB/MKxtLTkkt++fftyw8iQyGgO2cJqw8hh//mGDh3KJcHsP2y7du24kaPI69evZe7u7jIzMzP+Bcm+OBMSEmSGRL9+/XidCPb/lhlw7JqTGy8MmkfVGTA0l8rh6ekpy5s3L78m8+fPz9cV65bQPOYMLy8v/mON3VNKlSol27BhQ7rXNXHfMWL/5NB7RBAEQRAEoVV0NgeGIAiCIAgiM8iAIQiCIAhCcJABQxAEQRCE4CADhiAIgiAIwUEGDEEQBEEQgoMMGIIgCIIgBAcZMARBEARBCA4yYAiCIAiCEBxkwBAEQRAEITjIgCEIgiAIQnCQAUMQBEEQBITG/wE18W4pBbBtIwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trajs.plot_traj(-1)" ] }, { "cell_type": "markdown", "id": "4453342d-b095-413b-b3b8-64d6c9435b3a", "metadata": {}, "source": [ "Balanced trajectory:" ] }, { "cell_type": "code", "execution_count": 11, "id": "992d5cf6-7d6f-4d21-9347-4683f0152532", "metadata": { "execution": { "iopub.execute_input": "2026-02-06T07:19:46.281862Z", "iopub.status.busy": "2026-02-06T07:19:46.281862Z", "iopub.status.idle": "2026-02-06T07:19:46.353177Z", "shell.execute_reply": "2026-02-06T07:19:46.353177Z", "shell.execute_reply.started": "2026-02-06T07:19:46.281862Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nt, _ = trajs.trajs.shape\n", "trajs.plot_traj(nt // 2)" ] } ], "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": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }