{ "cells": [ { "cell_type": "markdown", "id": "5dc56aca", "metadata": {}, "source": [ "# 22 · Fast Mass Springs — a constant-Hessian implicit solver\n", "\n", "A cloth made of springs is stepped with **implicit (backward) Euler**: every step minimizes the\n", "incremental potential below. Its spring term $\\sum_s \\tfrac{k_s}{2}(\\lVert x_i-x_j\\rVert - r_s)^2$ is\n", "non-convex, so Newton must rebuild and **re-factorize** its Hessian at every iteration. Liu et al.\n", "(*Fast Simulation of Mass-Spring Systems*, SIGGRAPH Asia 2013) split each spring with an auxiliary\n", "direction so that a local/global solver needs one **constant** matrix, factorized **once** for the\n", "whole simulation. The same structure underlies projective dynamics (Bouaziz et al. 2014).\n", "\n", "$$\n", "x_{n+1} = \\arg\\min_x \\; \\tfrac{1}{2h^2}\\lVert x - \\tilde x\\rVert_M^2 \\;-\\; f_g^\\top x\n", "\\;+\\; \\sum_s \\tfrac{k_s}{2}\\big(\\lVert x_i-x_j\\rVert - r_s\\big)^2 \\;+\\; E_\\text{pin}(x),\n", "\\qquad \\tilde x = x_n + h\\,v_n .\n", "$$" ] }, { "cell_type": "markdown", "id": "9fe09d17", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "f9f5747e", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:56.945529Z", "iopub.status.busy": "2026-09-24T03:44:56.945442Z", "iopub.status.idle": "2026-09-24T03:44:57.503085Z", "shell.execute_reply": "2026-09-24T03:44:57.502662Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import time\n", "import warnings\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import igl\n", "import simkit\n", "import utils\n", "warnings.filterwarnings(\"ignore\", message=\".*encountered in matmul\") # spurious macOS-BLAS matmul warnings\n", "\n", "NOTEBOOK = \"022_fast_mass_springs\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/022_fast_mass_springs/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# cloth\n", "NX, NY = 25, 25 # grid resolution (vertices along x, y)\n", "WIDTH, HEIGHT = 2.0, 2.0 # cloth size\n", "# material and loads\n", "YM = 80.0 # spring modulus: each spring has stiffness k_s = YM / r_s^2\n", "MASS = 1.0 # mass of every particle\n", "GRAVITY = -9.8 # vertical gravitational acceleration\n", "K_PIN = 1e7 # soft-pin stiffness holding the two top corners\n", "# time stepping\n", "DT = 1.0 / 30.0 # timestep h\n", "N_STEPS = 240 # implicit steps simulated (8 s)\n", "N_INNER = 8 # local/global iterations per step\n", "# validation\n", "FD_STEP = 1e-6 # central-difference step of the gradient check\n", "FD_NOISE = 0.05 # size of the random pose perturbation for that check\n", "SEED = 0 # random seed of that perturbation\n", "HESS_EVERY = 10 # sample Newton's spring Hessian every this many steps\n", "CONV_STEP = 5 # step whose implicit solve is studied in detail\n", "CONV_ITERS = 60 # local/global iterations of that study\n", "NEWTON_ITERS = 8 # Newton iterations of that study (they also give the reference minimum)\n", "GAP_TOL = 1e-6 # energy gap at which that study counts a solve as converged\n", "TIMING_REPS = 7 # repetitions of each timing (the minimum is kept)\n", "TIMING_INNER = 20 # back-to-back calls per timing batch for the sub-millisecond local/global iteration\n", "# video\n", "N_FRAMES, FPS = 121, 30 # frames of the cloth video (every 2nd step) and playback rate" ] }, { "cell_type": "markdown", "id": "41dd7f5e", "metadata": {}, "source": [ "## The cloth\n", "\n", "A $2\\times2$ grid from libigl. Its springs are the unique triangle edges: horizontal and vertical\n", "\"structural\" springs plus one \"shear\" diagonal per quad. Every particle has the same mass, and the two\n", "**top corners** (blue squares) are pinned." ] }, { "cell_type": "code", "execution_count": 2, "id": "410b51d0", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.504387Z", "iopub.status.busy": "2026-09-24T03:44:57.504264Z", "iopub.status.idle": "2026-09-24T03:44:57.599035Z", "shell.execute_reply": "2026-09-24T03:44:57.598701Z" } }, "outputs": [ { "data": { "image/png": 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x7733HsuqSn4SFPpMOzA0gVFoKi1yJDp00OJJT750lEBPhLefszeGtqEprwn5wtC5Oznd0XY2XU9PfrT43w26X5q0aXKn99EkR0+JNFl99dVXtyxOdH8UrkkLLwkJXR4RHnRhy/qcbOnpl8IoP/74Y5aWnfqSwjVpt4X8WHSJxEhskM8PLah03k4OmLePycMPP9wgMih9PT0R00JGT7mrV69mWXGp/xsnDmsKGk9y0KX7omy55ABMT/GUjVUnHnRP3xQaTE+rdN/UV9SmVKSOPwlK2rqnJ2HqF13uH+ov8km61/EE+aLQ/ZHIoaMNum/alaMdAVrwKYyWwtHp+uXLl7OdK+pP6nP6e6jdxrsEtOtB76X+0ZflmBZOEkO6nTLajaIEbjpH0NuPYWi3hPqAwoSbgo5naAFuStTQ95N23+i7Rt8Xaot2NElYkHN2U1Af03Eh2T4d19JxE4lV+n40DuXXpSggeydRSLuX1If0PSPbMSZ0xEVO5HRMp7NTsgU6siJR3njHjhzjqU/J1miHhfLp0JHf7aHQAgEX3PFDAqOgC2HNycm56++3bdtW9+ijj7LQU3r17du3bu7cuXUxMTHs9wkJCXWvvvpqXY8ePeqsra3rXF1d65544om6I0eO3PI50dHRLHzYxsbmjpDDu0Hhsv/v//2/um7dutVZWVnVtW/fvm706NG3hCXfHrqsC+eksFp7e/s6W1tbdi/nzp274/NXrlzJQm8pTLJxGDOFWN4t/PHxxx9nLzmhywSFZy5durSud+/e7O/x8PCo+8tf/nJLOCiF79K93OvVuM8OHTpU9/TTT7N+oc9zdnaue+aZZ+qOHj3KNe7Xr19n/Urhwi4uLnXz5s27I2R4165ddYMGDWLj6+npWffPf/6zIbxcF3LcVN81Nf63hy43bpNCs+n9FF5L4bgbNmy4Z+iyjhUrVrAwW7qO/qaBAweykF8KYdfZB4Xpd+nShYUNu7u7173wwgt1wcHBd4QV02foCyvW/d33GrPb/y7qB/r5ggUL9H7u+PHj2djm5eU1+T76TowcOZL1E93zk08+WXfp0iW9n08h9GQz1AcU8k998sYbb9RlZGQ0vEc3PidPnqybNWsWsxH6blEI/u331dT43yt0+fYQcvoe3p5WgEKrKdSfbF3390VFRbGQ7TfffLPhfZ9//jmzE/ou0PtorqIUC42/YwIBL2b0P3zyRiAQNBe6BFp0nHS3ZHOtHXqipx0+SkLWmqEEfeT/cfnyZeZDZSrQThbtuNFuauNioAJBcyN8VgQCgUlCuTooT83ixYtb+lYE/y0ncTvkm0XoO0oTCAxF+KwIBAKThGoLSU0gKDA+lG+IdnjIp4icZinBI9VKIr8kiv4SCIyJECsCgUAg0AtFKJGzPDnJk4jUOd3qy9ArEDQHwmdFIBAIBAKBSSN8VgQCgUAgEJg0QqwIBAKBQCAwaVqlzwplraTEUZRcTemU7wKBQCBoWShjByUipKSATWUXFpgOrVKskFDR1acRCAQCQeuESiTcj0VeWyOtUqzoioqRoerq1MjdoaGS95Ty3NTV+f10r4S4X9G/whbEd81YcwNFM9EDq74CkwLToVWKFd3RDwkVQ8UKJUqizzB1AXA/3Ssh7lf0r7AF8V0z9twg3ADuH0x/1RIIBAKBQNCqEWJFIBAIBAKBSSPEikAgEAgEApNGiBWBQCAQCAQmjRArAoFAIBAITBohVgQCgUAgEJg0QqwIBAKBQCAwaYRYEQgEAoFAYNIIsSIQCAQCgcCkEWJFIBAIBAJB6xUrp06dwosvvsgqW1Ja4507d+q95sSJE/D19YVarUbPnj2xZs2aO96zbNkyeHp6wtraGkFBQbh06RKUIiWvHFEZJewVnVGCuNwK9l/dz+j3AoFAIBDzruA+qQ1UVlYGb29vvPrqqxg1apTe9ycmJuL555/Hm2++iXXr1uHo0aN47bXX0KFDBwwbNoy9Z9OmTViwYAF+/PFHJlS+/fZb9ruYmBhW2MqYkBB5efmFu/wm6ZZ/7ZzzELq42Rr1XgQCgaA1IOZdgdHFynPPPcdeUiEB0q1bN/z73/9m/+7Xrx/OnDmDb775pkGsLFmyBK+//jpmzJjRcM3evXuxevVqfPDBBzAmZdqaZn2fQCAQCMS8K7jPfFbOnz+PoUOH3vIzEin0c0Kr1SIkJOSW91DVTfq37j0CgUAgEAgeLExKrGRmZqJdu3a3/Iz+XVxczEqC5+bmoqam5q7voWvvhUajYZ/R+KUrNc7zqqutlfR31On5nPS8Uqw+FM3dPr22n0tAVGo+93UabTVWHU2Atqqa+9rTkek4cTVN1v0u2xOBojIN93Vx6YXYE5Iuq83fj8ciOauY+zq6T7pfsjHeaw+GpuJaSpGs+/1m51WUV2q5rwtLyMWeS8my2lx1MAp5JfzjImxX2K7Stttc8+7tL8H9hVGPgUyFL7/8Ep999tkdP8/OzmYiSCp5+dLeO+Hro0D1vY+CKjTVyC7S4JMNIXC1V4GHovIqFJdXwdVBBTu19OGrqa3Dzdxy/Hg4EW0c1VxtUnuFZVo426vgaGPFdW1GQQU+WR8CVwc1bFQWkq8rrahCXokWn2+PhrMdXx8VlFWhrKK+j2w5+khbXYOM/Ep8uTUMbg6cfVRRhaIyLVzsr8Demu9rlZxdhq+2X0VbJzXMOK6j9grLq1j/ONnyjUtOsQbaqhq42PP1kbBd/QjbbWbbtbSAhauz3s/My89Dlrm0AIeSkhJJ7xOYDiYlVtq3b4+srKxbfkb/dnR0hI2NDSwsLNjrbu+ha+/Fhx9+yJxyddDOioeHB3PIpc+WSkFtyR3OtHdj6osD0c7J+p6/j79ZiN2n45GVX47nh/SCl6eb5Hv4ZXcE2rjY4GxYGmaO7A8PdwdJ19Hi/eWai+z/D3+sF7y6u0leGPefS2QTcPD1TLz0ZB/06eIi+X4/X30BA3u0wcWIDMwc6Y1Obe0lXRcWm42LkRlITCvCC0N6o5+nq+Q2l24ORY/OzjgVepP1UWeJfZSVX4bVuyJQWq7F84/3glc36eOy5UgMLCzMcSkyA6891x8e7aS1SSz6/iTUKksMf6wn+ndvI3lczoSlITGzCBE3cvHiE73Rt6v0PvpizUX49HHHqZCbeG3kAHRylzYuwnb1I2y3eW03q6gS686m6v1MN1c3tJP4vaP1RHB/YVLHQA8//DCLAGrM4cOH2c8JlUoFPz+/W95D23n0b9177gaFQZMoafzS+bvwvMzMm6+77Gys8O5EP/y29zqb3Hjo5+mGcU/3wbLNV3AzW/oTgsrKnLW54WAUrsTcKvj00bGtPeaM9sbqP67iWlwu17VDH/LEED8Pdr9pOaWSr3Oyt8a7E/ywdk8Ewm/kcLXp07cdXh7SC//h7CO1lQXeneSPdfuv40oM37h06+SMycO9sGzLFaRmSW/T0qJ+XDYfjkFoTBbqONp0d7bF/HE++GVXBMLj+ProT96d8NwjnqyPeMZF2K5+hO0a13bvhhnnfC64vzDqiJWWliIsLIy9dKHJ9P9TUlIadjymTp3a8H4KWU5ISMCiRYsQHR2N5cuXY/PmzXj33Xcb3kM7JCtXrsTatWsRFRWF2bNnsxBpXXTQ/YS7iy3enxKAzUdicD4inetanz7tmGDhXYzdnGxYmzuPx+HcVb42u3ZwwlvjfPH7/uu4dP3ePkJ34xmZgqWdmx3enxyAjQejcCEig6vNhwZ0kCVY2lAfTQ3EtmOxOHeNr48GdG8jS7C4Olrjvcn+2H0yHmevpnEJlk7uDlgwyQ8bDkSxnR0eHvPxqBcsm/jGRdiufoTtGtd2Ba0Lo4qV4OBg+Pj4sJdOaND///jjj9m/MzIyGoQLQWHLFIZMuymUn4VCmFetWtUQtkyMGzcOX3/9NfuMwYMHM/Fz4MCBO5xujYGdRJ+LguJKrkXqw2lB2Hs6AceD9W91NodgcbJXY/G0ABy6kISjl5O52qQjFdoF2H4sFqeu3FREsLg52+CD6UHYdSoOJ0JSFREszvZqfDg9EAfOJuJo8P9s1JiCxdFOjUVTA3DsUgqOXErmEiztXO2YCN1x/AZOhqYqIliE7epH2K7htquyNG/W+Vlwf2JUsTJkyBDU1dXd8dJlpaX/Usba26+5cuUKi+CJj4/H9OnT7/jcefPmITk5mb3n4sWLLDmcElCiN0r4tu61APayLCnFuIc7YdIjHg2vAW1VWPvHNa5J38FOhY9mBOF4cAr2nk1QRLDY2ajwwfRAnAtPx+4z8Vxttnezw8JJ/th/NgEHL+j34WkOwUIC66PpQWwRJx8aJQQL9dFHrwbhdOhN7OHsI7mCxdbaCounBbKnTPJr4hEstGtG1x48n4QD5xMVESzCdvUjbNcw23WxU2HG411vmWdr8gvx+6t+DXOxSMT54CMO7mQIln4dHNjLrKYW7o5q5kyrez0T0FXWpE+LFC2MlyMzsfVoLBN1xhYs1ipLJlgi4nKx6UgMV5ttXWzx3pQAnApNxc4TN7iulStY7G3rRd35q+lsZ4enTbmChfqIxiUsJps50fK0KVewkN/M4qmBiE7Mw6bD0ajlaNPZwZqNKTkw0pMqz/3KFSzCdvUjbNcw2yXB0niepWjLvv+dh+klMoY/+AixYgTkTvpsYZwRhKjEPOYXUltrfMFiZWmBRVMCkJJRhLV7+dqkp6H3JgcgOCoLG1neGOMLFrYwzgjCtbgcrDsQxdWmXMGisrRgx1A3Ugvw6z6+PpIrWMjplvo2I6cUa/dEstBznuOkD6YFMgfhDQf5xkXYrn6E7Zqm7QoebIRYMRJyJ32VFS2MgUjNLMGqP66iuqbW6IKFQm7pWId8bX7aEc7Vpst/HUNJYFHUDs+1cid9azXtCAWxsObVu65xtSlXsNAETNvU2XllWLmTb1zkChZzczO8M8EPZRVa/LQ9HFUcbdKTPPklxSbns3B3nvsVtqsfYbumabuCBxchVoyI3EmfdjvenxrAxMPyLWEseZexBQuF8r093gc11bVYuukKV5u0fbtgkj+SM4qxcvtVrmvlTvqUl4ScUSlXzY/bwrnalCtYLMzNsWCyP8tZQ/fL06ZcwULVyueO8YGFuRmWbgyFhqNN8rkhO0rLLmELBs/9CtvVj7Bd07RdwYOJECtGxpBJf+HkAPYFX7opFOWVVYoIlrljfWCjtsC3G0K42iTBQvlJsgvK8ePWMK5rDZn0KYqglNLkb77C1aYhguWdiX4scdt3G/nGxRDB8sYobzg7qPHN+hCUcbRJkz75FhUU1QtfnvsVtqsfYbumabuCBw8hVhRA7qSvSxZmbmaG7zeGoqRMa3TBoptcKCx1yboQrjYp6oEW8qJSDZtceK6VO+nTsdmCyQGo+u+OEE+bcgULjce88b4sTf236/n6SK5gIV59aSA6tbXDkt+DUczRJvn5sB2hyvodIZ77FbarH2G7pmm7ggcLIVYUovGkn1NYwSVY3hrvCxuVJXuSp0VZjmBJyy3lEiwzRwxEZ3c7LFkfzOrB8AiW+RP8UKmpwg9bw1An0+k2r6iSS7CQSLIwA/6zKRTVNfKcbjPzyrgEy+wxg5moo12oSgWOhIgpw/ujp4czlqwL5npKpUmfhG91dS1rV67TrbDduyNsVznbzefIYyV4cDCp2kD3G3WoQ6WmBjUW0ib+QK8O0GhrsfVIDHp4OKOSQwS8NnIQftoehqT0ImiqqiVfS6n5aTFeueMqbK0tudoc90w/rN8fhQvX0vHcI90lX0uht6+P8saPW8NRpqlGhaYKUtM1PebTmR197TubwFLm89zvrFHeTCBl55Wz66ReO7hXW9anv++7jraudlxtTn2hP0sXfj0+F727uki+tmcnZ4wdWi8kCZ42Rw7pxbLrUlK/JwK6SL6WBNYbowdj+eYrKC7XskrclRbSnleE7epH2K4ytkvHzFQZXdC6MKvjScTwgECFDJ2cnFBUVMRVyPB2vOZsRmllFchZ3ZyjXK5GW8OSfdGOAM91RIWmBhYWZmzHhedaqihMOw4UHs3bJjmUWllZcLfJ7ldbzaKNLM35rqXdHIooIN8d3jYrtTXsWt77JZFEOU3UVvx9VK6pZu3xtkmRDrRbplbR38nXKBWXVMkelxrm+MjdR8J29fetsF2j2i59X6wszJC8eqLsGj/NtQYIlEPsrBiAg40KtL7UwQxvjq4/EpBaufbnXddQVwvMG+cjuRIxQaF8dD2loJ43zldymyQ4Pv7xDLtfcqKVWomYoIyx56+lsyMd+jt57vfTFefYE7yTnQqzXpHeR1TckZ7Aamrq2P3ytElVlzPzymFjZYE5Y30kt0lVl2mLWk4fUcK4q3G5oI2K+eP9JLdJvLPkODt6mzPGh6taMyXPOnwxiYnQOWP4xoWqLpeVa2FnbSVs9x4I2zVN2yX+teYC1/sF9z/CZ8VA5o7zhYWZGVZsD+dy/urW0UmW0y0x5YX+LL8JrxOrk4NaltMtMezhbhjQow3bguVyErY0x/yJfsxHYtWOq1z3279HWzwhw+mWICdhOvai++Vpk+qUyHG6JUY92YsJHF5HQHLUlevDQpWTA/u3Z7bA20fzJ/gL220CYbuma7uC1ocQKwZiY22Jtyb4sl2HH7cpExpK4mj26MFwsLFik4QSYc3E2Kf7yBIslJWSRJ22qprlTOC536cf8pQlWKys6neeaAdqOWcotdwoIcAMr44YyEoR8IabG+J0O+LxnrImfWu1hbBdPQjbNU3bFbQ+hFhpBshb/e2JftBW12IFZ1I0Q0JD547zYc6s5FSqROI42u6VK1goSuit8X6oqKxiOyw89ytXsNCZOEUm0ZH4TwoljiO/k1mjBrG8M8s4E/q1xKQvbFc/wnb1IwSLwNgIsdJM6MLrSsu1WMWZjt0QwUJhzeQiTTsWSqTmN1SwkHgoKNHg5z/40uQbIlgorJn8Zlbs4BsXQwTLm6O964XkNr5xaSnBImy3aYTt6kcIFoExEWKlGdElMMotrMCveyIVKSBHgoUWYzpyoDo5ShQ/NFSw0P1m5ZXht718fWSIYKHEcZSsbs3uCEWKH7LEceN8UFtTy4SZEsUPDRUswnabRtiufoRgERgLIVaaGZr0F072R0pmMatEzBMZbohgodo8uQUVWHfgOlebLSlYEtOLsOkwXx8ZIlio4GJGbhnWH4ziatMQwTJ/gi+KSzX4bT/fuLSUYBG22zTCdvUjBIvAGAixYgR0Rbiik/Kx80Qc17WGFpBLSi/GtmM3uNpsCcGiK34YmZCHP07y9ZFcwaIrfhifWoAdx/n6yNDih+k5pdh6NJarzZaY9IXt6kfYrn6EYBE0N0KsGAma9GlhDInOwoHziYoJlsXTAhERn4u9ZxPuC8GycJI/Ll/PxMELSYoJlsXTghAWm8PyxyglWKjgYkxyAfacib8vBIuw3aYRtqsfIVgEzYkQK0bE3rZ+0j8VehMnQ1MVESx03PHB9EBcvJaB48GpJi9YKF8M7bCcCE7BqSs3FREs1mpL1kdnw9NwIiRVEcFCR3WLpgUgOCoLR4NTTH7SF7arH2G7+hGCRdBcCLFiZChPAwmWA+cScSkyQxHBQin1aTE+ejkZ5yPSTV6wuDnZMMFC9YAuXc9URLCQf8YH0wJx6GISLkRkKCJYVJYWrM2TIak4dy3d5Cd9Ybv6EbarHyFYBM2BECsKQFvG700JwPZjNxB+I0cRwUKL8eKpgdh9Mh5XYrNNXrBQIrV3Jvhh29FYXI3LUUSw0O4B9dEfJ26wYyElBAsJycVTA7DvTAKuxGSb/KQvbFc/wnb1IwSLwFCEWFEIegJ7d5If1h+IQnJmsWzBUqmVXp3XwU7FRNLmwzGIScmXLViKyzSyBQtPyG57Nzu8Nc4H6/Zf585m2ViwaKtquaI73pscgI2HohB/s0i2YKHaSzw+ITQu5HB7PTFP9qSfX1wpW7DUcOR+EbarH2G7ytmuyHTbOhFVlw2ouDnora0Y1Med+SNIJb+oEmevpsHVyQaPDOrI1V5YTDayC8sxsGdbdHCzk3wd1ak5E34TZmbmePZhT642b6QW4EZKAXp3dUXPzs6Sr6MoXfLTKa+sxmN+nWFvbSX52sy8MlyKzEQnd3v49W3Hdb+XIzNRUFIJP6/2cOMoJlhYosGZ8DRW2O8Jfw+uNimiKTWrGF7d2qBLe+nF3EjgUEG3qppavPBod642kzKK2Q5Uj87O6N/Njevac+FpKCrT4pHBneBoq5J8nbBd/QjbNb7tUqZwtaUZopaPFVWXWxFCrBggVgbM24LcogoWhaO2tJB8XVmlFiWV1ay2j51a+iJOFJRpUFVVw3YEeNrUVFWhsKyKFR6jatE8FJZqoKmugZOtih1j8JBVWM6qGDvbqZnPhlRKKjQo19TAwVYFW84280oq2c4Bbx9VaKpQXFHFBAuPuCIKyzQstb6jnQrWVtLvl4RKfkklbFSWXMJB16aG2rRVset5yCmuYHlfnOz4+kjYrn6E7RrXdmtq61BdU4Pk1ROFWGlF8FmJ4BZIaPQa6IKwGzmssrCrxCf5+JuF2H78BvKKKjHj5YHo2l66YPpldwSrBhudmMfVJj3Ff/HLBdChzPQRA+DZwUlymxTim5VfxvLGvDZqEKssLJXPV19AO1db5mNBqfal3m9YbDaLDqL8JK+OHIQuHOXnl24OhYuDNbtfnj6iv5FS8tNu0PSXB8KTY1y2HIlBuaYaMcn5rDggHZ1I5f3vTkKlssC0EQPQjWNcaFcmKimP2dPMkYPgwdFHX6y5yPqU7lfY7t0Rtmuatkv8a80FrvcL7n+Ez4qBvDSkJ7x7ueP7jaEoLtNKvs7ZQY1ZIwfih63h3D4sDw/siCF+Hvh2fQhXm2qVBWa/4s0W5KQMPv+MXl1cZVdrnvBsP/T2cGaViOlISirurnaY8eIALN9yBSmcDqVPBXVlPiXfbuDrI9pVeXPUIFb4MIlzXAb1csewhzzx7YZQltpfKlaW5mxcVu28hkTOcenS3lG20+2Ljwvb1YewXdO0XUHrQ4iVZmD0U73Rt6srvtsQgrJK6Y6W3Ts5yxYsTwd5ImhgB3yzPpirTY92jrIFiyFRQpOe80LX9g74bmMoq2MklT5dXWULlhf+3AM+vd2ZYOHpo64dnGQLlsd9PfCYb6f6NiukiyTarZI76RsSaSFst2mE7Zqu7QpaF0KsNBPjh/VFt45OWLrpCjuLVUKwPP9Id3j3assEAE+bLSVYpr0wAO3dbNm15N+hhGAZ+UQv9PV0YTtfPH1kiGB5OtAT/l7t8d1Gvuitlpr0he02jbBd/QjBIjA2Qqw0I7RYtHOxZYsqOU4qIVgodLZnZycmAHjabCnBMnPEQOaEunxrGKo57tcQwTJ2aF/mn7GMs48MESwkJPt1c60XZtU1Jj/pC9ttGmG7+hGCRWBMhFhpZma8NIAlZFu54yrzWldCsNBi7O5qi5+2h3O12VKC5Y1R3rA0N8PKnVe58rAYIljoGMrFQY0V2/nGxRDBMnJILxZ+TW3yCLOWmvSF7TaNsF39CMEiMBZCrBiBWSMHsUX4172RqKWEIwoIlsnP9oO1ygJr9kRwtdlSgmXOmMGo1FTj133XWQitEoJl+osDYGFuhrV7+MbFEMEy/um+sLO1wtq9kaipNX3BImy3aYTt6kcIFoExEGLFCNCENnfMYJZobPORGBYubGzBwrapXxoIjbYGmw5Hc7XZEoLF3Nwcb4/3RU5BGTYfjeVqU65gqX8yHoTSCi02HeYbF7mChdqc/nx/trNCbfKIpJaY9IXt6kfYrn6EYBE0N0KsGAma9GkxTskowe7T8YoJljdHeSMrrxy7TsbdF4JlwUR/JNwsxO4z8YoJlnljfFj+ll2n4hQTLK+PGMQSCO46FX9fCBZhu00jbFc/QrAI7juxsmzZMnh6esLa2hpBQUG4dOnSPd87ZMgQNlne/nr++ecb3jN9+vQ7fv/ss8/C1DA3N8OCSX6IiMvFkUvJiggWanPeWB/EpuTj8MVkkxcsFhbmeG+yP8Kis1mVaCUEC/URLcZRiXnc4yJXsFCbc14ZzJJgHbmUYvKCRdiufoTt6kcIFsF9I1Y2bdqEBQsW4JNPPkFoaCi8vb0xbNgwZGffveLs9u3bkZGR0fCKiIiAhYUFxowZc8v7SJw0ft+GDRtgilDdoIWT/XHhajqrCaSEYKE254/3Q3BUJqt3Y+qChcoVvD81AKevpOHc1XRFBAv10bsT/XExIgNnOftIrmChNklIhkZnsjZNXbAI29WPsF39CMEiuC/EypIlS/D6669jxowZ8PLywo8//ghbW1usXr36ru93dXVF+/btG16HDx9m779drKjV6lve5+LiAlNFbWXBBMvhC8kIic5SRLBQm++M98WJ4BSERGeywoKmLFio5tD7U/xx4FwiQmL4+kiuYKE+WjDRD0cv8Y+LXMFCbc4f54uToTcRGpNl8oJF2K5+hO3qRwgWgUmLFa1Wi5CQEAwdOvR/DZqbs3+fP39e0mf8/PPPGD9+POzsbq0yfOLECbi7u6NPnz6YPXs28vLyYMpQOPPCSX7MlyQxvZDr2saCpUJTzdUmHXfsPZ2AqJQ82YKlsLRStmDhCRO2s1ExUbfj2A2kZvJFsTQWLNqqWq4+eneiH3afimcVpiFTsJRwZKulNueP88G+M4mISMjjEkmNJ/3conLZgqW6mq+PhO02jbBd5WxXZLptnRi16nJ6ejo6deqEc+fO4eGHH274+aJFi3Dy5ElcvHixyevJt4V8XOh9gYGBDT/fuHEj223p1q0b4uPj8dFHH8He3p4JIDoyuh2NRsNeOoqLi+Hh4YGCggIYUnW5/7ytAOrqq+yaSbumqroWWQUV7Inao609q0gslZLyKpRUVDEfnQ6u0gvlUZu5RZUsg2sXd3vmjyAVKuqXX6Jh13R0s+WrrFpC1aWr2NO5u7O0YoIEiQ2q1kyd6tHGTnLfElQHqLSymoUot3Ph66PswkoWtUN9xDMuVCSysFwLM5iho6stly3klWhQqa1hf6eFhfRGKzU1yC6qYH9nJze+PioqpT6qYgUx21HBRWG7dyBs13Rtt6qmDrZqc0T+Z7RBVZdpN76oqMigNUCgHCZddZl2VQYOHHiLUCFop0UH/X7QoEHo0aMH22156qmn7vicL7/8Ep999tkdPye/mYqKCtn3Z6cyR1p+BWzVtbC3ltaV9J22t7ZAYVkVEy1tndSSv6t2agtotNVsMaawaEdbK8lt0ntzimoa2jSXuBpbW5mzF7VJgsfVXiXxbqlNSyZWqBZQSbk57NTS+sjSnPrWAsUV1cgurEAbR7XkNmkcKrQ1bAeKigk62HD0kY0F8kpqkFlQDncna8njYqOyQIXWHKUVJOwq4Wynktyms40lMjTVyCqsHxcLieOisjSDjZU5yjQ1yCmqgJuD9D5ysLFktZKoj4rLtcJ274KwXdO1XXroKqusRk5ODuRSUiLqEN1vGFWstGnThu10ZGVl3fJz+jf5mTRFWVkZ20H529/+pred7t27s7bi4uLuKlY+/PBD5uR7+84KHSMZoqrNLSzY1uSGg9F47bn+ksucU0TI3rMJyCmowPDHeqJ/9zaSF8ZfdkegWycnHDiXhLHPUnFAR8lP//+39iIszM0x/PFeGNCtjeTdg/3nEllCs7Ph6Xh+SC94ebpJvFvg89UX8FRgV/xx4gZmjuwPD3dpfRQWm43Q6CwkpBVh+GO94NXdTXIfLd0cCr9+7dmR27jn+rNU+1LIyi/D6l0RbBF/7rGebOtZaptbjsTA0V6NEyGpGDPMC54dpNvVou9Pws7Giv2dA7q7SRaSZ8LSkJFXhrCYLDz/eC94dZM+Ll+suYihgV2x/VissN17IGzXNG2X+NeaC2jbtq3snRUbG+m7roJW4LOiUqng5+eHo0ePNvystraW/bvxsdDd2LJlCzu6mTx5st52bt68yXxWOnTocNffkzMuiZLGL4IM3ZAXbfvTIirnLNVGbcl8JTYfjmGOlrx+C3Kcbqmc+/zxvth+NJbbidXF0Ybd7297rzMhwcOgXm2ZD8syTqdbWxsVa3PDwShciblV8OqDBJ1cp9t3Jvhh65FYJpZ4+sjd1a7eh2U7f5TQW+N8sfP4DYTGZHM53VKdpXcn+WPd/uu4EsM3Ln08XYXt6kHYrmnabnPM34L7C6OPGO1orFy5EmvXrkVUVBRzhqVdE4oOIqZOncp2Pu52BPTyyy/Dze1WxV1aWor3338fFy5cQFJSEhM+I0aMQM+ePVlIdEsg1/nL1dGa5RjZfTJesbBmapMEwP6zCdxhze4utnh/SgDLyns+Il2RKCE3JxvW5s7jcYqFNVMfkUPpntPxioU1U5vvTPBl0VC8Yc1tqI+mBmLbsVicu8bXR8J29SNs1zRtV9C6MLpYGTduHL7++mt8/PHHGDx4MMLCwnDgwAG0a9eO/T4lJYXlSWlMTEwMzpw5g5kzZ97xeXSsdPXqVbz00kvo3bs3ew/t3pw+fZrtoLQUcid9Rzs1Fk0NwLFLKYoljqM2F07yx+krN7kTx9HE9OG0IBZhdDw4VZFJ38lejcXTAnDoQpJiieOoj0gk0bGOUonjqE0KpaYJnzdxnLO9Gh9OD8SBs4k4GpzCcbfCdqUgbNc0bVfQelBkL2zevHlITk5mxzoU2UMRPjrIKXbNmjW3vJ/CkSlI6emnn77rWePBgweZcyyFRtPuyooVKxrET0siV7BQaOjiaYG4FJmhWGr++nBUf4THZnGn5newU+GjGUE4HpzCfG+UmPQpNPSD6YE4F56uWGp+6iMSLCFRmYql5q8PpfbH1Rs53Kn5qY8+ejUIp0NvYg9nHwnb1Y+wXdO0XUHrQBzcNTOGJN9aPDUQ0Yl5rBChEtWaqU2aXBLTi7DxUBRXmzQx0eRyOTITW4/GclVONiRxHAkWKl+wiQpEKlCtmfrovckBiEstxMZDfONiSOI42lZPySxmbfJUa6Y+onEJi8lmTr88fSRsVz/Cdk3TdgUPPkKsGAFD0pvTwpiRU4q1eyK5EqoZlJp/nC8KijUs0oinTTa5zAhiNXZ+338dtRzXGpKaf9GUAKRkFGHtXr42DUrNP8EPOQXlWLObb1wMSs0/xofljVmzJ5Llf5GKytICH0wPYknuft3H10fCdvUjbNc0bVfwYCPEipEwpIAcRaOUVWhZVEkVxxfdkOKHlFmSUtz+sC2Mq02VFU0ugSzj7Ko/rnJNTIYUP6QjrILiSvy0I5yrTUOKH7411gfaqhr8uI1vXAwpfvjGyEHsvz9uD4e2uoZrwaCjxey8MqzcyTcuwnb1I2zXNG1X8OAixIoRkTvpU4bauWN8WIbHpRtDWRIkYwsWavPVlwYyZ9bvNoRwtakr5kbiYfmWMLagG3vSp9DDt8f7oKa6Fks3XeFqU65goT56Y9Qg2Kgt8D3nuMgVLNTm9Of7w83RmrVZqZVeboFy6iyY7M9y7FDYOE8fCdvVj7Bd07RdwYOJECtGxpBJ/41R3nB2UOOb9SEs46gSgmXKc14sud2/1wVztUmCZeHkALaAL90UyrLWKjHpzx3rw8TDtxtCuNo0RLCQqKNU/ks4+8gQwTJhWD907+SEJetC2K4bz6T/zkQ/ltzuu4184yJsVz/Cdk3TdgUPHkKsKIAhRbhoYezU1g5Lfg9mZ8DGFizEuKf7wsvTFV//dpmrTebbMdGPZbGkJ6kSjmvlTvo6UUch1TQZ8rQpV7AQk4f3R4/OTvg357jIFSzEqCd6syRlX/8ezEoJSIXGY954X9iqLfHter4+ErarH2G7pmm7ggcLIVYUovGkn5XPV3F0yvD+6OnhzJ7kqYCYHMGSyiEAiJeH9IK/V3smWHgqPbOMluN9YaOyZE9DdTKdbnOLKrgEy8wRA9HZ3Q5L1gejukae0216bhl4GDu0Lwb0aIOvf7+MSgWOhIgXHu2Ohwd1ZJN+KcdTKk36s8cMZqKOdqHkOt0K2707wnaVs938Yr4q8IIHA5MuZGjqkJNlRHweLDmqGD80oAO2Ho1Bhzb2uBYnvRAXLYpp2aVISCtE146OqODYEh3i2xmrdl5lRzU8bVJNnZTMEpwLT0PAgA5c1z7u58HCDzXVtYiMz2XF/qSKHZ8+7ix7bK8urlxt+vZtj/ScMmTmlSE2OR+5HKLwUe9O+H1fJJzsrbna7OXhjJtZxYiIy4GDrYoVYZTKk/4eWL75Cosu4mmzg5sdPDs64uD5JHj3cee69mHvTqweUHlZNYviklpckhC22zTCdpWxXdq1tTATUUKtDbO6VhjMToUMnZycDC4P3m/OJpRXVrNkYTRRSYXOXrXVtSxXiYpndWMl0jUwMzdj26I8bWqrqlFWWQNba0uWC4GrzTItOzema3naJOgpyNLSnPt+S8u1qK6tg521FatpxHW/pVqYmYO7TapoXa6pYW2qrPja1B0F8fYR7ZSVVGhhp7aCWqKga9wm2R79nbx9VFCigYUFvx0J29WPsF3j2i7bXa6rQ/LqibJr/DTXGiBQDrGzYgCONmq4u9oiLacM88f7sW1KqVWXNxyKZpPa6yO9JVdrJigXSmlFFbLzy/DORH/JbZJX/d9/Pk/6FDNfHiS5WrOu6jLlPcjIKcMbrwxGp7b2kq+lNim8WaOpxrxxvpLvl4olHrqYhPyiSswa5c2KN4Kj6jKdcuQVVrAwcKltUtXlZf+NZnptpLfkas0E7SJRFdns/HKucSEWfnsC5hbmeHXEIK5qzVS5Njg6C5m5pdx9RFWXaaEoLKkUtnsPhO2apu3qqi4LWhfCZ8VApr1IvhIOLLyOx/mrnautbKfb5/7UjTmr0XYoj3MnPfXLdbr169cezz3iif9suoK0nFIuf5LZowfDxdGahTXz9FGX9k6ynG6JMUP7oLeHM4tM4mmT6pTIdbr9s48HOyqhc3WecaGdroZqzRl849LP05X5F8npo+kvCdttCmG7pmu7gtaHECsGYmYGvDpiINq62HKH7BoSaTHmqT7o09WF5URRIqyZeMzHQ5ZgoSRuJFgcbKzY36pEWDONy6TnvNC1vQN32KMhUUIv/LkHfHq7M8EiK6xZxqRPAknOpC9sVz/Cdk3TdgWtDyFWmqMTzcwwa9QgODtYNxwjKCFYKH8BOatRUjQlEscZIljIL2LuOB/2JPbDVmUSx9GT8bQXBqC9my27VonEccTIJ3qhr6eL/MRxCk76wnb1I2xXP0KwCIyNECvN1ZFmZnhztHf9YryNLwW8IYKFwprdXWzYoqpEan5DBQuFNZNLNy3ISqTm14U1O9qpsHxrmCKp+XVhzeTzQseDslLzKyxYhO02jbBd/QjBIjAmQqw0Z2dSAqNxPqitqcXPf1xTpICcLnEcRRat3HFVkeKHhgoWykpJxzKrd/H1kaHJtyjEnGqNKFH8kKBjKBcHNVZs5xuXlhIswnabRtiufoRgERgLIVaau0PNzDB/gi+KSzX4bf91rjLnhgiWWSMHsXLsv+6NRG2d6QuWBZP8kVtQgXUH+PrIEMEyZ8xgVGqq8eu+SK42DREs018cwGo8URVtnnFpKcEibLdphO3qRwgWgTEQYsUI6IpwpeeUYuvRWK5rDanHQmXZKRR185EYlsPAlAWLrvhhUnoxth27wdWmYQXkfJFTUI7NR2O42jS0+CFl7Nx0mG9cWmLSF7arH2G7+hGCRdDcCLFiJGjSf39KAGKSC7DnTLxiguXt8X5IySjG7tPx94VgoVLwEfG52Hs2QTHBsmCiPxJuFmE357gYIlhISJJ43XUq7r4QLMJ2m0bYrn6EYBE0J0KsGBHaMl40LQDBUVk4GpyiiGAxNzdjRyyUxvrIpWSTFyyUMO6D6YG4eC0Dx4NTFREsFI763mR/hEVn48jlZEUEC40L7epQinvecWmJSV/Yrn6E7epHCBZBcyHEipFRWVrgg2mBOBmSinPX0hURLLTQvDc5AOevpuPs1TSTFyzWKksmWI5eTsb5iHRFBItuK//MlTScvZquiGCpr0rtj4sRGTgbnmbyk76wXf0I29WPECyC5kCIFQWgCW3x1ADsO5OAKzHZiggWCqGm3YPDF5IREp1l8oKFopkWTw3E7pPxuBKbrYhgoXF5f4o/Dp5LREhMliKChcZlwUQ/HL3EPy4tMekL29WPsF39CMEiMBQhVhTCzkaF96YEMIfbxPQi2YKFoll4JtGFk/yw62QcopPzZAsWKp4oV7DwhAk72NX30ebDMUjlzGbZWLBoq2q5xmXhZH/sOHYDN1ILZQsWqtfEMy7vTvTD7lPxiEjIlS1YcosqZAuWaioGJxFhu/oRtquc7YpMt60TUXXZgIqbfWdvhpuTGior6fUgNdoaxKYWsOJf/T1dudqjQnlULZcSnHXmKCZIWVTj0wrZIu7dsw1z+JQKFRJMyy2Fva0K3TgKlREJaUUoraxCOzc7tHO2kXwdVbK+cbOQVSHu28WFq82b2aUoLteyWkQdXG25xoXapPDiQd3bUL1HyeQUVCC7qAL2NlboylH8kMYlMb0YFdpqDOYcFxKQSZklsLOxQs9OTtJvFmC7ZSXlVaxERDsX6eMibFc/wnaNb7tUsd5ObYGo5WNF1eVWhKi6bAD21paIv1nEvnS2aiuugoJFpVrEpBTAzUF6dV4rc3NQRXQKva2proGdtUrytY62KmQXVCA6uQBtHK25FkaVpRkKiitQV1sLR1s1V5slFVqkZ5dAq6mGjUq6udmpzFFcUYXY1EK42ktv09rKAiWoY9VcqU07a+nj4mhjhdziSkTTuFAfSbyO3mdpXoe8ogqWENDBhmdcrFiCvKikArR14hsXayszFJdWIu5mHZztpPeRndqKCbr0nBJoNFXCdu86LsJ2TdV2rSxquGp9CR4MhFgxAArxHPVkb+w6HY/XR3lJLnMef7MQe88kICu/HC8O6Qmvbm6S2/xldwQ6tLXHieAUvD7cCx4Sn+TLKqrwf2svsqX1hSE90b97G8mL8f5ziajU1uDCtXSMeLIX+naVviP0+eoLCPBqjxPBqXh9VH90krgjFBabjeCoTCYGX3yiJ7w8pffR0s2h6Ne9DY5cSMKs56WPS1Z+GVbvimB99eLj1EfS29xyJAZqtSXOhadhwnAvlmpfKou+PwkbtSWeH9KTHflJHZczYWlIzS5GeGwOXnqiF6tiK5Uv1lzEwwM74OD5JGG790DYrmnaLvGvNRe43i+4/xE+KwYSMKA9Rso4S7WxtsS7k/ywbn8Ut9Ntz87OspxurSwpGsWP+YSExvA5d7q72mL+OB/8sisC4XE5XPf7qE9nWU639rZqdr+/773OxAsPJDTkON2SAyy1ueFgFOsjHjzaOcqOEnp7gh+2HolFKKfTraujDd6d4Ie1eyIQfoNvXHz7CdvVh7Bd07RdQetDiJVmIGhAB1Zpl3dhbONkw8Jntx2LVSys2dXRmkUJUdQNb1hzJ3cHLJjkhw0HonApMkORKCF3F9t6p9sjMYqFNbvRuEwJwM7jcTinUFgzjQs5Q+85Hc8d1kw+Qe9PDsDGg1G4EME3LsJ29SNs1zRtV9C6EGKlmQjqL0+wONur8eH0QBw4l6hY4jhHOzUWTQ3A8Usp3AnK2rnasYV8x/EbOBmaqsikT5Phh9OCsPd0gmKJ45zs1Vg8LQCHLiSx/C9KCBYaF+rbEyGp3OPi5myDD6YHsQy5dD0Pwnb1I2zXNG1X0HoQYqUZkTvpU2joRzOCcPrKTcVS81P47KJpgbgcmcmdmp92HihNPvk7HDifqMikT6Gh1EfHg1MUS81P40LJ6s6FpyuWmp/GhSb9kKhM7tT8JLA+mh7EFgvyM+JB2K5+hO2apu0KWgdCrDQzcid9Sr5Fi3FYTA5z1lSiWjP5Z9AOS3RiPjYdjuaqCuzsYM0WcnKUo10Wnvs1JHHcR68GIfh6JstXo0S1Zl2G0oi4XGziHBdDEsdRBuK41EJsPMQ3LhRiTnZE2Yu3H+PrI2G7+hG2a5q2K3jwEWLFCMid9Fl68+mBiLtZiF/3XedKqGZYan5/ZOSUYe2eSNRwtElbv1RKgByENxyM5rpfQ1Lzfzg9CNFJefh9P18fGZKaf9GUAKRkFGHtXr42DUrNP8GPhamv2c03LkzUzQhi9aHWHYjiul9hu/oRtmuatit4sBFixUjInfRZAbmpAcjOL8fKnVdRXVOrSPHDdyb4spBdyi5ZxdEmPQ2Rb0dscj4Lq+a5X0OKH9Ix1M2sEqz6g6+PDCl+uHCSPwqKK/HTjnCuNg0pfvjWWB9UVdXgx21842Ktph2hICSmFWH1rmtc9ytsVz/Cdk3TdgUPLkKsGBG5kz7lb6Gom/KKKixj6eNrjC5YKKHT3DGDYWFuhqUbQ1l2VR7fDopqSssuYWKH537lTvq020FRQiQelm8J42pTrmAxNzfH2+N9UFNdi6Wb+MZFrmChcZk1ahBs1Rb4nnNc1CpLJnwpnw8tGDz3K2xXP8J2TdN2BQ8mioiVZcuWwdPTE9bW1ggKCsKlS5fu+d41a9YwI2/8ousaQ2eZH3/8MTp06AAbGxsMHToUN27cgCliyKT/9kQ/9vd/tzGUK2OjIYLljVHezB/lm/UhKONoU1c/pqCoXjzw3K8hk/7CyQHQVtdg6Sa+PjJEsMwd6wMbtQW+3RDC1aYhgmXGSwNZavwl64K5xoUmfXJ6LC3TMOHLc7/CdvUjbNc0bVfw4GF0sbJp0yYsWLAAn3zyCUJDQ+Ht7Y1hw4YhO/veSb6oXk9GRkbDKzn51tDRr776Ct9//z1+/PFHXLx4EXZ2duwzKysrYYrInfTNzcwwb5wPSxn/7foQlJRpjS5YiFdfGsBqDy35PRjFHG3SefOCyf5sQqLJhed+5U76dGz2zgQ/tu1MT288bcoVLDpRRyHVS9bxjYtcwUJMHt4fPTo74d+c40LHZgsmB6DqvztCPPcrbFc/wnZN03YFDxZGFytLlizB66+/jhkzZsDLy4sJDFtbW6xevbrJxaB9+/YNr3bt2t2yq/Ltt9/iL3/5C0aMGIFBgwbh119/RXp6Onbu3AlTpfGkn11QziVY3hztDVcnG/YkT19aOYKFRwAQdF0vDxf2NFTBWemZMsBSVV9qt06m021eUSWXYHlrnC9s1ZZsF6q6Rp7TbWZemeTryEZnjhiIzu52WLI+GJUKHAkRY4f2xcAebfD175e5nlJp0n9noh8szID/bAqV7XQrbPfuCNtVznbzi03zoVRwH9cG0mq1CAkJwYcffnjLNjod25w/f/6e15WWlqJr166ora2Fr68vvvjiC/Tv35/9LjExEZmZmewzdDg5ObHjJfrM8ePH3/F5Go2GvXQUFxez/9Ln00suFJaXW1DBFkspdO/ohMd9PbDlSCy6dXJi3vJSGfVEL/y2LxKJ6YUoKHGXfG07F1u88Gh3rNwZziJpeNp8KrALSiu0uHA1DU8GduW6dtJwL6zaeZXVFKLrytXSTK2fpxvzQ9l7Jh4De7XlanPsM33xy65ryMorQ35RBSwlFlaj2kHPBHnit73XWYIqnjaHP9oDmw9FIzI+F13aO0q+lnZlqOT9ss2hoAhNnjYfHdyJOUNTnhv6/zzXTni2H37+4xpKKqqQV1jBij1KQdiufoTtKmO7yzdfQV2dgXO3AdcKWgazOiMGs9NuR6dOnXDu3Dk8/PDDDT9ftGgRTp48yY5wbocEB/mf0I5JUVERvv76a5w6dQqRkZHo3Lkz+6xHHnmEfTb5rOgYO3Yse9qlY6fb+fTTT/HZZ5/d8fOYmBg4OEgvOHc7Qz47CW1VLapr69gxhFQqNdWgB1trlQXXdQR90S0tzWFlYc51LXnla2vqWJvkRMtDabkWVlYW3G2y+62sgqUFXWvGdS2dT5uZmUNtJafNalhamHHfr6aqGtU1kNdHFVWs9hJvmxTpQI6HJCTljIulpQVUlnL7yJx7XITt6kfYrnFtl+Yy+q5c+vIpyKWkpAR9+vRhawy5HQhMH5OrukyiprGw+dOf/oR+/frhp59+wt///ndZn0k7O+Q303hnxcPDA+7u7gYZqpOdmoXkVWhqMGesD3tallp1ec3eCFRV1WL26MGSqwITFB5M/hU1NbWYP95Pcpskcj5ZcZb9/zdfGSy5WjNBGSVDo7NRXqnFnDE+kisnE5+tPMeOruiI5s3RgyXfLxUu/ONkHCqpb0f7oJO7PVfVZdqdoRSa88b5Sm6Tqi5/u4F2OurYvXpwjAsl8otJyYdWW8u2rKW2Sbz7zXH23zdeGcxVrZkS8p0ITWVRY7zjQlWX2aRvZiZs9x4I2zVN29VVXW7bti3bqZcDBWYI7i+M6rPSpk0bWFhYICvr1uq19G/yRZGClZUVfHx8EBcXx/6tu47nM9VqNRMljV8EGbohLzOYYfYYH1ZB+aetYVzOX13aObJjAF7nTmL8sH7sy83rxOpop5LtdDvE3wOB/TuwSB8e/xfKT0JRTfQktGJ7OJ8zqqdbvQ/LZn6fm5kvD4KLozW7X5422zrbMB+WZTLG5flHe6J3F2cWmcTTpo3KUrYPS4BXewzx82D3y9tHc8f5CtttAmG7pmu7zTF/C+4vjDpiKpUKfn5+OHr06C1nhfTvxrsnTVFTU4Nr1641HPl069aNiZLGn0k7JXSkJPUzmxMrq3rnTjoCWL6VL2T3oQEdZAkWs/8uxrSw8obsGhIlNOLxngjs355bsJDT7VvjfZmz7Y/blAlrpq1l2rVysLFif6sSYc3EpOe80LW9A3e4uSFOt8885Clr0iebFbbbNMJ2TdN2Ba0Po8tLOn5ZuXIl1q5di6ioKMyePRtlZWUsOoiYOnXqLQ64f/vb33Do0CEkJCSwUOfJkyez0OXXXnuN/Z78Ut555x18/vnn2LVrFxMy9BkdO3bEyy+/jJaAvNXnT/BjIuInzgRGcgULRQnNesWbFQBbxpkUraUEC+2waKtrsWL7VUUSx5FPxtxxPqxeyQ9blUkcR/Y57YUBaO9my65VInGcIZO+sF39CNvVjxAsgvterIwbN445yVISt8GDByMsLAwHDhxoCEdOSUlhuVR0FBQUsFBn8lMZPnw42zUhp1oKe27soPvWW29h1qxZCAgIYNFD9Jm3J49TEl14nUZbjRU7+FLAGyJYZo8ZDLWlOX7YxpcCvqUEC4U1k3MdRQopkZqfhTXTrk4dWHZdJVLz68Ka6diNdtuUSM1vqGARtts0wnb1IwSLwJgocnA3b948tjtC4cN0XENhxjpOnDjBstbq+OabbxreSyHKe/fuZT4rty8GtANDv6dEcEeOHEHv3r3R0ugSGBWVarBmdwRXLgtDBMu88b7M4ZbC+pQofmioYKHEcbmFFfh1T6QixQ9Z4riJfuxYhmqNKFH8UJc4ztLcjNV4UqL4oaGCRdhu0wjb1Y8QLAJjIbyMmhma9FkV49wyrD8YxVXm3BDB8vYEXyaSftt/navNlhIsCyf7IyWzmJWR57lfQwTLgkn+LC/OugN8fWSIYJkzZjAL96Uq2jxttpRgEbbbNMJ29SMEi8AYCLFiBHRFuOJTC7DjOF/NIrmChWoJkQCgYoJbj8ZytdkSgkVX/DA6KR87T9RHeilRj4XaTEovxrZjfONiWPFDX+QUlGEz57i0xKQvbFc/wnb1IwSLoLkRYsVI0KS/eFoQwmJzWJ4SpQTLoqmBiEnOx54z8feFYCFRFxKdhQPnExUTLIunBSIiPhd7zyYoJlgWTPRHws1C7OYcl5YSLMJ2m0bYrn6EYBE0J0KsGBFrtSU+mB6Is+FpOBGSqohgoeOORdMCEXw9C0eDU0xesNjb1guWU6E3cTI0VRHBQscdNC4Xr2XgeHCqIoKFcnbQEUtYdDaOXr61MKc+WmLSF7arH2G7+hGCRdBcCLFiZOiM+4NpgTh0MQkXIv4X9WRMwaKyrF+MTwan4ty1dJMXLI52aiZYDpxLxKXIDEUEC6W3pz4i4XA+Il0RwaI7hjp9JQ3nrqab/KQvbFc/wnb1IwSLoDkQYkUB6Als8dRA/HHiBjsWUkKw0GK8eFoA9p1JwJWYbJMXLM4O1nhvSgC2H7uB8Bs5iggWWoxpXHafjMeV2GxFBAuNy/tT/JkwC4m5NQuzKU76wnb1I2xXP0KwCAxFiBWFoORt700OwMZDUUjKqK/6LEewVGqlVcnVnauTANh6tL5ujVzBUlz2v4rVvIKFJ2TXzckG707yw/oDUbiZXSpbsFBxSak42NX30ebDMYi7WShbsFAhQ55xIWfoHcduIDIhj0oYyZr086n+kUzBQqHuUhG2qx9hu8rZrsh02zoxatVlU4USzTk5ORlccXPA3C3o4+nKqiBLpahUi8tRmXCwVSGov7T6SDqik/ORnV+Obp2d4cFR+Ku8shqXrmewSs9P+nlwtZmcWYz4m0Ws8GEvD2euay9GZrICioP7uMPVQS35uvyiSoTEZKONsw18erflavNaXC7ySyrZxNje1VbydaXlVbh4PZP5s/zZuyNXmyRy0rJL0aWDI7p1kG5PFZXVuByVBW11DYYGdOFqMz2nDJFJeaxGlJenK9e1VJSyqEyLgb3aoA1HwUVhu/oRtmt826Xvi7WVOaKWj5Vd46e51gCBcgixYoChes/fiqyCcqitLGGtspB8XUm5FiUVVbC3UcHR1oqrTXoi0VTXwsVexY4UpEI7MvklGthaW8LZTrpwIApKK1n1Yzqft7PmK9SdkV8OMzPAxU4NNUcfFZdqUKapgb2tFavvw0NecSVL6+9ir+YaF0oaV1imhZ21FZzsVFxtFpRUorKqhvWtjVp6H1FF6pyiStioLeBsr2YlG6RSWFKJCq28cckurEBNbR13Hwnb1Y+wXePaLmWEpjIWyasnCrHSiuCzEsEtWFtZ4qnArsxh8tWXB0kucx5/sxB/nIpjuySjn+6LfhxPF7/sjmBHF8HXMzFjxEB0dpdWlp12OL5cc5GlnX9laB94dXOT3CaFXtNiHB6bg7HD+qFPFxfJ136++gJ6dHZGRFwuVx+FxWbjwrV0JKYXY8wzfdG3q/Q+Wro5FJ3cHXA5IpOrzaz8Mqz64xrbZXnl6T7w8pTeR1uOxKCmrg5hMdlc40Is+v4k29F55ak+6N9deptnwtLYrk5UYh73uHyx5iL6eroiOJKvj4Tt6kfYrnFtl/jXmgtc7xfc/wifFQMZGtQVT8g4S6VjoHcn+GHtnghuh9LBvd3lRQlZmTOfkHX7o7idbrt2cMJrLw/Ez39cxbX4XK5rX5LrdOtog/njfPDLrgiEx/H10cODOspyuqWS91S/6Le919miw0Ofrm6ynG4p3Jza3HAwCqGcTrcd2thhzmhvrKZxieMbFxLawnabRtiuadquoPUhxEoz8PRDnrIm/XZudnifnG4PRikW1tzGyYaFz247Fssd1tzLwwWzX/HG7/sicfl6piJRQrRDsmCSHzYciFIsrNndxRbvk9PtkRjFwprJQZPa3Hk8Dmc5w5pJSL41zhe/77+OS5zjImxXP8J2TdN2Ba0LIVaaCbmTvpuzDT6YHoRdp+IUSxxHvhEfTg9k4bO8ieO6dXTGvLE+2HY0Fqev3FRk0m/nascmQypdoFTiOFdHa3w4LQh7TycoljiOom4o3PzwhSQc4UwcR8dO9IS7/VgsTnGOi7Bd/QjbNU3bFbQehFhpRuRO+vRF/2h6EI5cSlYsNT+Fz340I4gJDt7U/B7tHPHWeB/sO5uAQxeSFJn06emN0uQfPJ+kWGp+8g2iPjoenKJYan4aF0pWdz48nTs1f3s3Oyyc5I/9ZxNwkHNchO3qR9iuadquoHUgxEozI3fSp+RbtDCev5rOnjCUqNZM0UTUZlhMDnMQ5WmzU1sHzJ/gy3aD/jgZx3WtIYnjaDIk5zzaZVGiWjMljvvo1SBcjsxkBSKVqNasy65LTsmbjvBVpW7rYsvyxpwKTcXOE3x9JGxXP8J2TdN2BQ8+QqwYAbmTPlsYZwThWlwO1h2I4kqoZmhqfvLM/3Xfda42O7jZ4+0JvsyXZNOhGK5rDUnNT+ULyEF4w8ForjYNSc1P40KRC3S2ztOmIan5F00JQEpGMdbujeROrkcJCIOjsrDxEF8fCdvVj7Bd07RdwYONECtGQu6kX19ALgiJaUVYvesayymgSPHDqQEslHrlzqtcbZI/CQmWyMRc/Lo3kutaQ4of0vl4bHI+C+XmadPQ4oepmSVY9QdfHxlS/JC2xguKNfhpRzhXmy6O1qxwIgksijjjuVbYrn6E7Zqm7QoeXIRYMSJyJ321ypKJh6z8cvy4LZwlQDK2YLEwN2dRN+UVVex+edp0d7HDW+N8kJhWiFU7rnJdK3fSp/NximpKyy7BT9v5+kiuYNEVIiwormT3y9OmXMFCGTrfHu+DmupaLGWlBGq4js0WTPJHckYxVm7nGxdhu/oRtmuatit4MBFixcgYMulTBExpmYZdS9lVlRAsb0/0g5mZGb7bGMrVJgmWeeN9kZlXhp+2hXNda8ikT2fcBUX14oGnTUMEy8LJAdBU1WDpJr4+MkSwzB3rw7LcfrshhKtNmvTfneSP7IJy/LiVr4+E7epH2K5p2q7gwUOIFQWQO+nT0cOCyQEsJTs9mZSUaY0uWMzNzDBvnA9LOf/t+hCuNts622LuOB9Wm4cmF55r5U765OezYLI/yirrd4R42pQrWHSJsKivvt8YytWmXMFCAvKNUd4spHrJOr5xoWizdyb6oahUw/qX51phu/oRtmuatit4sBBiRSEaT/o5hRVcgoW+rBZmYE/yJFzkCJb0XOmLMS3Cb472hquTDXsaqtBUcwmWOWMGM/Hw47Yw1Ml0us0rquQSLCQeqqtrWZXo6hp5Trd07MYjWN4a78sy3tIuFNUFUkKwzGSp/O2wZH0w62OeSX/+BD9Uaqrww1a+atjCdvUjbFc52+Wt2Cx4MBBiRUF0k/62oxQmDC7BQl9WKjiXlF6EOvBHCZHjLE+bJFhmjRrEUmJfjEjnapMEy5ujB0OjrUFpRZWssGbKtwCONkmwsCMsKtKXXy4rrPn3vdc5WqwXLLST5GSvwvWEPK77bSxYeAIeaNKf9sIA9OjkhMMX+fJR0KT/1ngSdTWs2B7P/Qrb1Y+wXWVs96dtYVwPB4IHA1F12YCqy/3nbkFRmYYtNlRZWCoVmhqYm9WLEJ7raP0lXwnytLc0N+O6lhzUyKmeKh+b87TJqhFXQ2VpzhZnnjapX6r+e78WnPdbVlnN2qN2efuISsiT/w1vm5Xa+glQLWNc6FpL6iPONmmnjKofky3wjgsVp6R75R2X+j6qZf3D20fCdvUjbNe4tks7qGorc1F1uZUhqi4bgL21FWpra2FuYY43XhnMzmSlVq5dseMqWyjI+UxqxVuCQnWjk/LhYGOFOWN9JLdJk8NffjzD2qR0+TxVgSmr7qnQm6wQ4qxR3lz3+8mKc6ioqIKbozVe/++5tRSoiOCmQ9EwNzfDnDF8fURVl29mlcLJTsV2eKS2SVWX//XbZSZ0yG+Hp01KqhccnQU7tSXmjfOV3Cbx9r+PyRoXSo5HmXVJINHfyXO/VHW5qEQDZ3uVsN17IGzXNG2XEFWXWx/iGMhA3hzjw/wyKGSXx/mrp4ezLKdbYvqLA2BrbYmfOJ1YXRzUGCnD6ZZ4/s/d0b2jE1ZsD+eMnjFnUUK0g/DzTr4+8u7TDkH9O3I73RJvjPZmkyjdL0+bHdvYy3K6JcYO7ctECq8jIDkzy/FhIR7388CAHm2YQzPv/ZLPjbDdeyNs13RtV9D6EGLFQBztVZg7zhfaqmqW70OJ0FA2iY7zZf9dzhnSFzSgA0Y+wS9Y6Lx5ygv9ZQkWKtZI4qFSW42VO/j66KXHeyCofwduwWKjtmxYjMnRV4mwZvP/PiU62loxR18lwpppB33s031kTfpU+0jYbtMI2zVN2xW0PoRYaQZ0zl8VlVXcSdEMCQ0lp1v6wlNeE542afGXI1jMDRAsOqfbkooq/LzzGtf9yhUsOqdb8s9YwZlYypCwZjqeI98gilxQInEcCUm5k76wXf0I2zVN2xW0LoRYaSZ04XUFJRr8/AdfmnxDBAuFNWu01cwHhqfNlhIsFNacV1SBXzhLCRgiWCisubRci1WcpQQMESxvjfNljoS026ZEan5DBYuw3aYRtqsfIVgExkSIlWZEl8AoK68Mv3EW8DI0+RYlTVqzO4KrzZYSLBTum55Tit85CycaIlgocVxuYQV+3cM3LoYIlncm+LGjIKrxpETxQ0MFi7DdphG2qx8hWATGQoiVZkY36SemF2HTYb4S6YYIFir8lZFbhvUHo7jabEnBQlFRmw9TzhllBMvCyf5IySxm1Vzl5GGRI1iovgmJpHUHrnO12ZKCRdjuvRG2qx8hWATGQIgVI6ArwhWZkIc/TsZxXWtoAbn41ALsOH6Dq82WECys+OF4H1yLz8GuU/Fc9ytXsOiKH1Lo984TfONiUPHDKQGsINu2Y3zj0hKTvrBd/Qjb1Y8QLILmRogVI0GTPpVIv3w9EwcvJCkmWBZPC0JYbA7LjXI/CJb5431xMSIDhzj7yBDBQqIuJDoLB84nKiZYFk0NRGRCLsstcT8IFmG7TSNsVz9CsAiaEyFWjIiLY/0Oy4ngFJy6clMRwWKttsQH0wNxNjwNJ0JSTV6wtHOt32E5HpyC05x9JFew2NvWCxZKdHcyNFURwUJHdYunBeLitQwcD041+Ulf2K5+hO3qRwgWwX0lVpYtWwZPT09YW1sjKCgIly5duud7V65ciT//+c9wcXFhr6FDh97x/unTp7OJuPHr2WefhSni5mTDBMu+swm4dD1TEcFC/hkfTAvEoYtJuBCRYfKCpYObPcsYu/dMAtuJUkKwONqpmWA5cC4RlyIzFBEs1qp6IXn0cjLOR6Sb/KQvbFc/wnb1IwSL4L4QK5s2bcKCBQvwySefIDQ0FN7e3hg2bBiys7Pv+v4TJ05gwoQJOH78OM6fPw8PDw8888wzSEtLu+V9JE4yMjIaXhs2bICp0tbFlkWGbDsai6txOYoIFto9WDw1EH+cuMGOhUxdsHRq64C5Ywdjy9EYXI3PUUSw0HHHe1MCsP3YDYTfyFFEsJCQpHHZfSoeV2Lv/h0wpUlf2K5+hO3qRwgWgcmLlSVLluD111/HjBkz4OXlhR9//BG2trZYvXr1Xd+/bt06zJkzB4MHD0bfvn2xatUqVn/n6NGjt7xPrVajffv2DS/ahTFl2rvZ4a1xPli3/zpSskpkCxbKAssT3fHe5ABsPBSF2JQC2YKluIwq9MoTLDwhux7tHDH7FW8W0sybHKqxYNFW1XLtHrw7yQ/rD0QhIa1ItmCh2ks8mWNpXLYcjsH1JKrWLG/SLyiplC1Yajhyvwjb1Y+wXeVsVySOa50YtZChVqtFSEgIPvzww4afmZubs6Md2jWRQnl5OaqqquDq6nrHDoy7uzsTKU8++SQ+//xzuLm53fUzNBoNe+koLi5m/yURRC+5UAXkC9cyWA0aqQT278B2O9zd7HDu6q27RU1hZ2sFNydrJKUXswia7Pwyydf+eXBn/L4/EpYWFlxtEp4dnHAxMpNVFTZjac6k0bOLC27cLERphQYXI9JhbWUh+Vq/vu2Yw61nRyeu+23jYg17Gytk55fjSnQ2Eu1Vkq99ZHBHFkZNQoKnTQpP7tDWDpGJebC2tkRFpfSaQI/5dMYvf0Swqsu849KniwuOXEpG/x5tuK7t3M4B0cn5KCrVIjgyEzZq6eMibFc/wnaNb7tUPkNlYWbQ3G3ItYKWwayOJ/kDJ+np6ejUqRPOnTuHhx9+uOHnixYtwsmTJ3Hx4kW9n0G7LAcPHkRkZCTzeSE2btzIdme6deuG+Ph4fPTRR7C3t2cCyMLizsn3008/xWeffXbHz2NiYuDgIL1S6O0M+fQESiuqWYlzWrSkUqGpRnlVLezVFqxMOg9F5VWorauDvbUlrDjaJGFVWlkNW7UlbFR8bRaXV6Ga2lRbQmXJtxmXV1oJczNzOFhbcvVRaWUVtNV1sLO2hJqzzaIyLWgq4m2TMgGXamtgp7KENWcfFVVUsV0kO84+ouy2NKY2KkvYcggHoriiil1P1b95x4UyLcPcjLuPhO3qR9iucW23hgkNM1z68inIpaSkBH369EFRUREcHR1lf47gAdlZMZT/+7//Y8KEdlF0QoUYP358w/8fOHAgBg0ahB49erD3PfXUnQZMOzvkN9N4Z4V8YWhnxhBDdbK3RrdO1ohNLWLJtKjirhQoGdqWIzEoLNVg1mgfdGknXTD9sjuCfckpbwc57kptk44pPl99gf3/10Z5w7OD9L+bwqBTsoqRmFbEqkzzlIL/+8/n4WivRkFRBeaPl95HYbHZOBacynaQ3hjtAw+OPlq6OZQ5s1ICuHcnSu+jrPwy/LAtHJWaGrz+ije6tpfeRzSe+SUapGQUYcGkALg6SWuTeO+7Eyxa6LWRg9hOllTOhKUxHyj6O98Y4wMPjnH5Ys1FtlOXllUqbPceCNs1Tdsl/rXmAtq2bct26uVgY2Mj6zrBA+qz0qZNG7bTkZWVdcvP6d/kZ9IUX3/9NRMrhw4dYmKkKbp3787aiou7e6Iv8m8hUdL4RZChG/IygxnGDeuH3l2csXRTKErKtFzVXGe8OADLt1zh9mF5wr8Lq5787YYQFHO0SVv+b44axOrVJGXWH4VJZUCPtnh5iLxqza+OGIhObe2Zzw1PH3Vsa4/Jw71YBeNUzj564bEeGNSrLb7fGMrVR462KswaORA/bA1HMmcf0THJED8P7nFRWVowXx2q75SUwec306OzM/MDWMY5LsT4Z4TtNoWwXdO13eaYvwX3F0YdMZVKBT8/v1ucY3XOso2PhW7nq6++wt///nccOHAA/v7+etu5efMm8vLy0KFDByiOGTDpOS90be+A7zaGslowUunT1VW2YHnxzz0wuLc7WxjLONrs2sGpXrBs4xcsDw3oIEuwkNPtzJcHoa2zDRN1PH00oHsb2YJlzFN90KerC77j7KPunZxlC5angzwRNLADvlkfzNWmzkFTzqQvN9JC2K5+hO2aqO0KWh1Gl5d0/EK5U9auXYuoqCjMnj0bZWVlLDqImDp16i0OuP/85z/x17/+lUULUW6WzMxM9iotrY8Oof++//77uHDhApKSkpjwGTFiBHr27MlColsCegKb9sIAtHezZV86bVWNIoJl1BO90NfThe0ekE+KqQuWWa94swilZSxip0YRwTJhWD94dnTE0k1XuPrIEMHy/CPd4d2rLROvPG22xKQvbFc/wnb1IwSL4L4XK+PGjWNHOh9//DELRw4LC2M7Ju3atWO/T0lJYXlSdPzwww8simj06NFsp0T3os8g6Fjp6tWreOmll9C7d2/MnDmT7d6cPn2aHfe0FDTpzxwxEI52KizfGsb8SpQQLGOH9mX+HLSVWsXRZksJltljBjOHWfIN4ekjQwTLlOH94e5iw/qXp48MESzUPz07O7E+4mmzpQSLsN2mEbarHyFYBMZEkYO7efPmITk5mYUPUwQQZbHVQU6xa9asafg37ZZQgNLtL4ro0TlGUXQQJZUjUUPvX7FiRYP4aUlo0n9jlDcszc2wcudVrhwjhgiWyc95wdlBjRXbr7IwWFMXLPPG+7I8Hz//cY2rjwwRLK++NJAlZFu5g6+PDBEsJCTdXW2ZjxBPmy0lWITtNo2wXf0IwSIwFsLLqJmhSX/OmMGo1FTj133XmdBSQrDQdZTvZe2eSBbabOqC5e0Jvigq1eC3/Xx9ZIhgmTVyEAt7/HUvXx8ZIlgmP9uPhUGv2RPB1WZLCRZhu00jbFc/QrAIjIEQK8boVHNzvD3eFzkFZdh8NJbrWrmCpf7JeBBKK7TYdDiGI31bywgWC3NzLJzsj7TsEmzl7CO5goX6aN4YHxSWVGLzEb4+kitY2BHLSwOh0dZg0+ForjZbYtIXtqsfYbv6EYJF0NwIsWIkaNJfMNEfCTcLsftMvGKChRbj9JxS7DoVd18IlkVTAxGTnI89nH1kiGB5e7wfUjKKsft0vGKC5c1R3sjKK8euk3H3hWARtts0wnb1IwSLoDkRYsWIWFiY473J/giLzmaVdpUQLObmtBj7Iioxj6W0NnXBQtlTF00LRPD1LBwNTlFEsFAfUUK9a3E53H0kV7BQm/PG+iA2JR+HLyab/KQvbFc/wnb1IwSLoLkQYsXIWFla4P2pATh9JQ3nrqYrIlhoEqXMrRcjMnA2PM3kBQsllvpgeiBOBqfi3LV0RQQL9REVEzx/NR1nr6YpIlioTcriGxyViTOc49ISk76wXf0I29WPECyC5kCIFQWg1O/vT/HHgXOJCIm5NZuvsQQL1RxaMNEPRy8lIyQ6y+QFC/XR4mkB2HcmAVdishURLNRHtPN1+AJ/H8kVLNTmO+N9cSI4BSHRmSYvWITtSusjYbtNIwSLwFCEWFEIOxsVcyjdcewGEtKLZAsWKiQnFQrVfXeiH3afikdUcp5swUI1jOQKFp6QXeqj96YEYOvRGO5In8aCRVtVy9VHCyf5MV+SG6kFXG02FiwlFVquNumobu/pBEQk5MoWLLlF5bIFS3W19D4Stiutj4TtKmO7qSLTbavEqFWXTRUqZOjk5GRwxc2+b26CWmUBlZUlZS6XhKa6Gmk5ZaA1vEdHJ8nXEXklFSipqGZVSju62km+Tltdg4z8Mmi0tejZyYmFX0qluFyLnKJK1qZHW3uOuwXS88pQoa2Gg60K7k7SC4dpqqpxM7eM3adne0euPsopqkBZZTWs1RZo72zL1UdpuWUsUR31EdV9kgqJuYIyDawszdHJzV7yldRmZkEFKrXV6NmRb1wolX9GfjlrsytnEbjMgnImem1trNi4CNu9E2G7pmu7lALATm2BqOVjZdf4aa41QKAcJl112dShoncpOSVwsFHBzsZK0jW0CNJ1eSWVSMstZfVypH7NqR2aHErLtcizNGciQCrOdipkaipwM6cU7VxsWISKFChHiI3KDKUVVcgqKIeLg/QswW2crJGSXcJChVUWZmxHQQp0b/bWligs0yIjrxRtOISOkx31URWKSzWsTXsbvj7KLqrvI3dn6X1ka22Jco2W9RE9MTrZSe8jV3sV0nKrkJpTgnYutpInfZrobVXmKGETfxncJFaWZm06qJGuqUIRjYu5mbDduyBs13Rtl0p1lJRL38kUPBgIsWIAtJiNH9aP5QmZOXIQOkt8Soi/WYi9ZxKQXVCO4Y/2QP/ubpLb/GV3BLp0cMThC0mYOawfurST1mZZRRX+b+1FNqE8++ce7NhEqkjafy4R2poanA9Px/OP9UQ/T1fJ9/v56gt4dHAn5q/z6svS+ygsNpv5kSTcLMLwP/eAVzfpfbR0cygG9XbH/jMJmPlyP1aOQApZ+WVYvSsC5ZXVeO7PNC7S+2jLkRjY2apwKvQmxjzTF13bS39aW/T9SSbknuMclzNhaUzwhsVkY/hjPeDlKb2PvlhzEY/7emD3qThhu/dA2K5p2i7xrzUXuN4vuP8RPisG4t27rSzHRRtrS+ZPsuFgFEI5nW5pIZTjdEtPNG9P8MPWI7EI5XQobeNki3cn+GHtngiE38jhut+A/vKcbskP4N1Jfli3P4rb6bZ3FxfZTrc0LpsPx7Bx4emjDm3sDYgS8sX2o7Hcjr7O9mp2v7/tvc4EHg8DerYRtqsHYbumabuC1ocQK82A3EgLNycbvD8lADuPx+GsQmHNro7WzKF0z+l47rDmdm52eH9yADYejMKFiP8VnzRmlBAdAVHo97ZjsYqFNVMfUZTQ7pPxioU1U5s0ce8/m8Ad1uzuYsvsiLLyno/g6yNhu/oRtmuatitoXQix0kzInfSd7NUs7JGOdY4olDjO0U7NJogTIancSdHcnG3wwfQgliGXrldi0qcnsA+nB7KjJKUSx1EfLZoagGOXUhRLHEdtLpzkj9NXbnInjqMF48NpQSzC6Hgw37gI29WPsF3TtF1B60GIlWZE7qRPxx2UFI18QpRKzU/nzCRYQqIyuVPzk8D6aHoQW8TJn0WJSZ/66KMZQWwyVCo1P/XR4mmBuBSZoVhq/vpQan+Ex2Zxp+Z3sKvvo+PBKdh7NoHjSmG7UhC2a5q2K2gdCLHSzBiSfIsES0RcLjYdiVakWnN9UrQAxKUWYuOhaK6qwPa29ZMLZYDdfiyW634NSRxHbYbF5DCHViWqNVMfLZ4aiOjEPFaIUIlqzfV+M/5ITC/CxkNRXG3SgvHRq0G4HJnJHL95+kjYrn6E7Zqm7QoefIRYMQKGpDdfNCWAFdlbuzcStRwJ1QxKzT/BDzkF5VizO5IriRubXGYEsRo76w5Ecd2voan5424W4td917naNDQ1f0ZOKdbu4esjg1Lzj/NFQbGGRYDxtKkTdVQf6vf9fH0kbFc/wnZN03YFDzZCrBgJQwrI0VYqfdF/2hHOkpQpUfzwrbE+qKqqwY/bwlHF0aa1mnaEgpCYVoTVu65x3a9BxQ+nBiA7vxwrd17latOQ4ofvTPBDWYUWP23n6yNDih9Sxk/U1eGHbWFcbaqs6kVdamYJVv3B10fCdvUjbNc0bVfw4CLEihGRO+lTVsa3x/ugproWSzdR+vgaowsWyhkza9Qg2Kot8P3GUGg42lSrLJl4yMovZ2KH537lTvoW5uZYMMkP5RVVWLaZr4/kChbqo7ljfGBhboalnH0kV7BQm6++NJD5CX23IYSrTV0hwoLiSizfEsbVR8J29SNs1zRtV/BgIsSKkTFk0p871gc2agt8uyEE5ZVVigiWGS8NZBlul6wLZmmxeQQLOeyWlmmYeOC5X0Mm/bcn+rH7/m5jKFebhgiWN0Z5w9lBjW/Wh3D1kSGCZcpzXiy53b85x4Um/YWTA9hCsXQTXx8J29WPsF3TtF3Bg4cQKwogd9LXLYwU2rdkXQhKyrRGFyzE5OH90aOzE/79ezCKOdqk7dsFkwNQ9d8dIZ77lTvpU0beeeN8YGdthW/X8/WRXMFC0BNjp7Z2WMLZR3IFCzHu6b7w8nTF179d5mqT+SVN9GN9RbtmPH0kbFc/wnZN03YFDxZCrChE40mf0uzzCJaZIwais7sdlqwPZkJAjmChejc8jB3aFwN7tMHXv1/mqvRMguWdiX6wMAN7GqqT6XSbV1Qh+TqayN4c7Q1XJxu2C1VdI8/pNiO3DDxMGd4fPT2c2S5UpQJHQgT1j79Xezbp8zyl0qT/1nhf2Kgs2S6UXKdbYbt3R9iucrabX1wp+VrBg4OoDWQANbW1SEovhqXEyp/O9tZ4xLsTC7ulcunklCqVx3w9sP3YDSSkFaJvN1dYSCwaRtEzzzzkiZU7w6G2tORqc3Bvd+QUluP81TQ8Mrgz17UvPt4Tv+2NhKaK+qgItipppkYF0QK82mPP6QT06+bG1ebTD3XFpkPRyMorw82sElRWSBNZdmorPOnfBb/ti4SLow1Xmw8N6IjcwgoWcu7uaovENJXkgpbPP9KNiaS6WnC1SXVUcgvKceB8IgL7d+C69vk/d8fv+6PYYkFRZ/YSi0sK29WPsF1lbPc/m0JhxpXFRfAgYFbXCoPZm6s8uNeczajQVoMeUsnpUiq0U1FVUwdbtSUsaQuCA9oGNbcwZ9WQedokBzW6V1u1FasRxENxmQYWFhZQqyxgydEmUVSmZU9GvPdbWlnNIgkolJG3j2ib2UJGm7Q7Qv1UPy6cfVSuZT40vH1EO2XlGhoXS+5x0dmCnHHR3S9vHwnb1Y+wXeParraqlomV5NUTmW9fS64BAuUQOysG4GCjgqO9CvnFGswb58t8S6RWXaYcAjTxzxo1WHIlYoLyFtCTPJVIp1BaqW1S1eXPVp1jzyOvjfSWXK2ZoCy11xNykVdUiTdeGYxObe0lX/u3VecB1MEcZpgz1kfy/VJhs31nE5lQ4u0jqrpcUVnNHPLmj5feR1R1mXxtKFTy9ZHekqs1E7RblpRRzO73nYn+ktskFnxzHHUww8yXB3FVa6bKteeupaGgSIM3xvCNC1VdpjVCq60RtnsPhO2apu0Soupy60P4rBgILfy0MFF4HY/zV8e29rKcbomXn+iF3h7OzCeEp017GyvZTrcPDeqEJ/w8WKRPGof/C8vhMt4PttaW+GkrXx917+yMkTKcbonJz/dnAoful6dNGku5TrdDgzzh3cudOQLyOBHS7pFcHxZq77lHPPGfTXzjQpAIFLZ7b4Ttmq7ttgQ1NTWorKwUr8rm64PaWuk+mGJnxUAsLMi5czCWb77CFjgql06ZXaU6LhK0GM8b6yN594A2TSc954W1eyKYwxnlG5HaZmOn2zljfLh2WJ5+yJP9lwQAhVVLfRoip1vaefp+QwiWbw3DW+N8JN9v0IAO7A/m7iMz4NURA7Fi+1Um6sjpV2qbjZ1uKa8Kzw7L6Kd6o7q6luWVWDDZn0Up8Trdzh7tzfWU+piPB/svTfoUGSV1XITt6kfYrmnarpKQp0RmZiYKCwtb+lYeOOgYr1u3blCp9Pv6CbHSDJB/Ax1x0KL4A1uMfdkkZ1TBYmaGaS8MwM9/XGPX0pGQ1DZbSrDMn+DHwot/2hbOrpV6v0H9O8jqI/P/Jrr7cWs4lm0Jw9vjpY+LIYJl/LC++H3fdXakRGGXVC/FVCd9Ybv6EbbbugWLTqi4u7vD1taWzb0Cw6FdlfT0dGRkZKBLly56+1UcAzUTLLxunC/zCaF07EqkN9eFNTvaqdiOhRKp+XWCRc6RkC6sWaOtxoodfGm0SbCMfEJeHhYKaybB8MM2vnExJA8LXUfRIdS/SqTm1036crbVhe3qR9iuadquEkc/OqHi5uYGGxsbWFtbi5e14X1Awq9t27YoLy9HdbX+yE0hVpoRmvRph4McO6lOjhIF5HSJ48ijnurkKFH80FDBQonjiko1WLM7gut+DREs9MRWW1PLdqKUKH5IzHhpADt6WrnjqiLFDw0VLMJ2m0bYbusTLFVV9flgaGEVND+64x8ShfoQYqWZoUl/wSR/FrGz7sB1rjLnhgiWOWMGo1JTzSoR87TZUoLlvcn+LAnb+oNRXPdriGCZP8EXxaUa/Lafr48MESyzRg5i4uhXqqJdZ/qCRdhu0wjbbX2ChRBHPy3fr0KsGAFWhGtKAJIzirHt2A2uaw0rIOeLnIIybD4ay9VmSwgWXfHD+NQC7DjO10dyBQsrfjjZH+k5pdjK2UeGFT8cjMISDTYfieFKZdUSk76wXf0I222dguV+xd7eHteuXWuRtr/99lsMGTKkWT5LiBUjQZP+oqmBiEzIxd6zCYoJlgUT/ZFwsxC7z8TfF4Jl8bQghMXmsFwuSgkWEpIxyQXYw9lHhggWEpIpGSXYfTr+vhAswnabRtiufoRgMQ1KS0sxcOBA3O8oIlaWLVsGT09P5lQTFBSES5cuNfn+LVu2oG/fvuz91Mn79u275fe0hf/xxx+jQ4cOzOFp6NChuHGD7+lcCWjLePG0QFy8loHjwamKCBbK3EpHLGHR2Th6OdnkBYu12hIfTA/E2fA0nAhJVUSw0HHHomkBCI7KwtHgFEUEC+XsoBBzSst/5FKyyQsWYbv6Ebarn9YsWFLyyhGVUXLPF/1eYEJiZdOmTViwYAE++eQThIaGwtvbG8OGDUN2dvZd33/u3DlMmDABM2fOxJUrV/Dyyy+zV0RERMN7vvrqK3z//ff48ccfcfHiRdjZ2bHPpCQzpgYlTaLFmITD+Yh0RQQL28qfGoDTV9Jw7mq6yQsWckL9YFogDl1MwoWIDEUEC9VMojZPhqTi3LV0RQQLiaSFk/1x4Wo6zl5NM3nBImxXP8J29dMaBQsJkZeXX8CkVZfv+aLfN5dg8fT0xD/+8Q/4+vqy8gG0HlJYsG5nNywsjP3/Tz/9FC+++CLmzZsHZ2dnFjJMa7SO6dOn4/XXX8f48ePh4OCAPn364MSJE7c4HNNGQY8ePVh01EsvvdTQDhEZGYmHHnqIXfvEE0/c8juTFytLlixhf/yMGTPg5eXFBAZ5Vq9evfqu7//uu+/w7LPP4v3330e/fv3w97//nQ3Af/7zn4ZdFToH+8tf/oIRI0Zg0KBB+PXXX1mn7Ny5E6YITWiLpwZi96l4XIm9u0hrbsFCC837U/xx4FwiQmKyuBbGlhAs9rYq1kd/nLjBjoWUECzUR4unBmDfmQRciclWRLBQCDUJlsMXkhESnWXyk76wXf0I29VPaxMsZdqaZn2fFFatWoX169ezvDDt27fH5MmT7/q+gwcP4rHHHkNeXh4+//xzvPbaaygp+d8cRuLlzTffZCHbU6ZMYQJGx//7f/8PZ8+exZkzZ1h+lN69ezNhQ1D4MYmXp556in32F198we7pvhArWq0WISEh7JimoUFzc/bv8+epZsyd0M8bv58glah7f2JiIhuMxu+hglR0vHSvzzQFHOxUeG9yALYcjkFihvRKo7cLlkqttErChJ2Nii2MO47dQExyPlebjQVLUZlGtmDhCRN2slezPtp4KAo3s0tlCxYqdMbTR+9NCWAOt3GphbIFS2lFFZcAWDjJD7tOxjGfJrmCJa+4QvakX1MtvY+E7epH2K5ytpvGOTe0FmbPns3cJ2gzgE4fjh8/jps3b97xPnr4Hzt2LCtOS2KE1unY2P8FHAwfPpw5xdLvaZMhOTmZiQ/aKFi+fDnbgCAXDAo7JrFD4iU1NZWtv7m5uWz3hn738MMPY9y4cc329xk1gy3dOMVPt2tXn6VVB/07Ojr6rteQELnb++nnut/rfnav99yORqNhr8YVN3UZ9HhqE9xOSYUWG/dfh5WlZX0OfAn07OzEdljoqX7jwSiu9pzt1IhPLURp+Q14uEvP8tizkxPWH7iO6po6bDwQJfleifaudrh4LZ0t5KmcIouq+eYXV7LcJu5O0gv79ejohEMXktgiCUqoxnG/VP8oPbcUGw9Go4Or9NwINC4kWMi3hHdc2jhZ41p8LiuEGJOQK/l+u3d0xNrdkaisquYel85t7XD0UgpcnaxRUMQ38auszFFQUom1uyLg7mwjbPcuCNs1Xdv9z5YrsFWZGzR3G3KtqdK1a9db1kO1Wo20tLQ73ke7LjroiIj8PhvvrDT+PblYEPR76rOysjK2K9M45JiECYkVOt3o2LEjrKysbrmnqCi++bRVp9v/8ssv8dlnn93xc/Kbqajg+7I0xsocCI/LZVv7NippKdUJa0szVjWZjgGcbKXVjtFRW1eLxPQiFBZXcLVJ780v0eJyVCZc7PXXYbh9+y09pwSlZRrYW0s3GbWlGQqqaxCTmIdsBxWsJaadZ9daAAXFlQiNzYKjDWcfVdciLqUAufllfH1kBRSWVyM4KhPOJJR4qKtFSmYxiks0sKWblwhNumWVdbh0PRMuDiqeOZ/ZX3Z+GSoqquBgY8l1HQlX2m3LylMJ270LwnZN13ZhYYbyymrk5PAdFzem8eL8oJCcnHzL2kYP6J06dWq2zycfFdq1IT9R2sG5ndOnTzPBQn4tOsGSksIXwNBiYqVNmzZsKykrK+uWn9O/G6u3xtDPm3q/7r/0M9qKavyewYMH3/UzP/zwQ+bk23hnxcPDg6VQJmckuajVVnj+0U44dCEZM0Z4o5PE3Y54Ci0+HY+s/HKMerovvDzdJLf5y+4ItHGxwdmwNEwbMQgeEuvklFVU4cs1F9n/H/lUX3h1d5M8uVBYMR1zBF/PxJhhXujTxUXy/X6++gIG9miDixEZmPGyt+S6H2Gx2bgYmYHEtCK88nQ/9PN0ldzm0s2h6NHZGadCb2L6iEGSawnRzsjqXREoLddi1NC+8OomfVy2HIlhkViXIjMw7aVBXLWEFn1/koXCjnyqD/p3byN5XM6EpSExswgRN3Ix+pl+6NtVeh99seYifPq441TITWG790DYrmnaLvGvNRdYqnZyK5AD7SY8aPz000/Mj5OcZhcvXsx2QDp37txsn099Tb4sCxcuZL6ntIbS8dCRI0fYcQ851rq6ujI/U/IppQAZ8n9prrBpo/qs0PaQn58fjh492vAz2kqif9N51t2gnzd+P3H48OGG91OFRhIsjd9D4oPU3r0+k7bDSJQ0fuk635CXGczwqE+n+rNUTodSOxsrVuTut73X2cLMQz9PN+bDsow3AsbKnLW54WAUrsTcKgj10bGtPeaM9sbqP67iWlwu17VDH/LEEBlOt0721nh3gh+rLh1+g+8pyqdvO7w8hN/plnbJ3p3kj3X7r3M73Xbr5Cw7SojGZfPhGIRyOkO7O9ti/jgf/LIrAuFxfH30J29hu/oQtmuattsc8/eDxquvvsoiaekIiI5/1q1bZ5RTClpnn3zySRbxQ+v7oUOH2O9oN2XXrl3MgZdEywcffMDuqbkw+ojRjsbKlSuxdu1adnZFTkB07kWOO8TUqVPZzoeOt99+GwcOHMC///1v5tdCzjrBwcEs1Iqgs7J33nmHOfZQx1BmPvoMOiujEOeWQK63uruLLUtQRplNlQprdnOyYW3uPB7HHdbctYMTK9b4+/7rbOuXh2dkCpZ2bnZ4n5xuD0ZxhzU/NKCDLMHShvpoaiC2HYtVLKzZ1dGa5cfZfTKeO6y5k7sDy+Gy4UAU29nhQdiufoTtmqbtCm6lf//+LD0IPbyTgNDtqpBjrO7UgdbT26NmKepHl2V2zZo1LNpWB4U30/UUGq3bgKBdE8prRkdpSUlJ+PnnnxveT7sotHFAiejIwfdf//rXLaHPJi1WaHvo66+/ZrHZ1GEU701iROcgS2daFAKl409/+hMLv1qxYgXLybJ161bWuQMGDGh4z6JFi/DWW29h1qxZCAgIYB1Dn0lJ5FoKuZM+fdE/nBaEvacTFEscR5ELi6cFMCdW3sRxdKRCT1Lbj8Xi1JU7Pc2NMem7Odvgg+lB2HUqjjtxnFzB4myvxofTA3HgbKJiieMc7dSsBMGxSynciePaudoxEUqlC06G8vWRsF39CNs1Tds1Vewk+spJfZ9AoQy2tCtCzj/k8EOqi8KMdZDqIjXXmDFjxiAmJoa9n5LBUShVY2h35W9/+xuL/qFEcHRmRvHeLY3cSZ+iXj6aEYTjwSmKpeankF1KVncuPJ07NX97NzssnOSP/WcTcPBCkiKTPgmsj6YHsYmQNzW/XMFCffTRq0E4HXpTsdT8LK/JtED2lMmbmp92zejag+eTcOA8Xx8J29WPsF3TtF1TpIubLXbOeQjrXgu454t+T+8TSOPBO7hrYQxJvkUL4+XITBZCq0S1Zl2GUkoBv4mK7HG02dbFluUnORWaip0nbnBdK3fSp+RbJOrOX01nOzs8bcoVLNRHNC5hMdnMiVaJas3kN0MJ8qIT87DpcDRXtWZnB2s2puTASE+qPPcrbFc/wnZN03ZNERIi/To43PPVnEIlKSmpxdwglEKIFSNgSHpzWoyjEvOYXwhPQjVDUvMvmhKAlIwirN3L1yY9DVESN6qxs/FQNNe1cid9JupmBOFaXA7WHYjialOuYGGp+acH4UZqAX7dx9dHhqTmp77NyCnF2j2RqOFok7bkqZQAOQhvOMg3LsJ29SNs1zRtV/BgI8SKkTCkgBw9XaRmlmDVH1dRTUnRFCh+SMc6lNfkpx3hXG26/Ne5jgQWRe3wXCt30q8vIBfEwppX77rG1aZcwUITMG1TZ+eVYeVOvnExpPjhOxP8UFahxU/bw1HF0SZLAT8tALHJ+Szcned+he3qR9iuadqu4MFFiBUjInfS1xUiJPGwfEsYtFU1RhcsFMr39ngfloZ96aYrXG3S9u2CSf5IzijGyu1Xua6VO+lTbgdy6KNcNT9uC+dqU65gsTA3x4LJ/ixnDd0vT5tyBQv5Z80d48Myqi7dGAoNR5vkc0N2lJZdwhYMnvsVtqsfYbumabvG4EHMeGsK8Bz1CbFiZAyZ9BdODmBf8KWbQlFeWaWIYJk71gc2agt8uyGEq00SLJSfJLugHD9uDeO61pBJn6IIKLMuXcvTpiGC5Z2Jfiz51Xcb+cbFEMHyxihvODuo8c36EJRxtKmrfVRQVC98ee5X2K5+hO2apu02FxSqS/MiZWYtKipiGc8pqEO8DO8D6kvKQkw20jhFf6tOt9/S0KRPkGCZN86HO+ESPZV8vzGUPaXwCBbW5uYrmDfWBy4O1lyTC9XzWbIuBG+P9+WK2KGF/PsNIWxyoc/hmfQJEh0kmHiOzRZMDsC360PYjtCc0XfPYnwvwdK4j6wspWl3czMzzBvvix+2hLF2KfeMHMFC48mT6fbVlwbit32RWPJ7MN6e4Mfl50M7QrRYUP+++Yr0PhK2qx9hu8raLqsZphAkVCgRKaXXIMEiaF5ovaF8MJTpXh9CrChE40l/xJCeXILlrfG+WLbpCnuSd+coztdYsLw6YiCXAc0cMZD5oCxZH4yBPdvC0V4tWbDMn0ACKwQ/bA1DHafTLUGT0lOB/yvKJUWw6ETSfzaFwpqjllBjwTJh2J31LpoSLLPHDMaKbeFsF8qzk5NswcLDlOH9WQbiJeuC8fCgjlyTPgnf72jS38JXDVvYrn6E7Spnu7M4HoKaa3eFUthXV1ezwryC5oN2VKQIFUKIFQOoQx0qNTWosZA28Qd6dYBGW4utR2LQw8MZlZpqyW29NnIQftoehqT0ImiqqiVfS6n56bhj5Y6rsLW25Gpz3DP9sH5/FC5cS8dzj3SXfC2FL74+yhs/bg1HmaYaFZoqSE199JhPZ3b0te9sAkuZz3O/NImRQMrOK2fXSb12cK+2rE9/33cdbV3tuNqc+kJ/li78enwuend1kXxtz07OGDu0/qiO4Glz5JBeLLsuJfV7IqCL5GtJYL0xejCWb76C4nItNNpqVFpI200StqsfYbvK2C4dMystGnRHFVKOKwTGwazufg9mlwGlI3ZycmJnkIYUMvSasxmllVUgZ3VzjpKjGm0NS5hEOwI81xEVmhpYWJixHReea7XVNazSLoVH87ZJDqVWVhbcbbL71VazaCNLc75rKzTVLKKAfHd426zU1rBree+XRBLlhVBb8fdRuaaatcfbJkU6VFXXQq2iv5OvUSouqZI9LjXM8ZG7j4Tt6u9bYbtGtV36vlhZmCF59UTZNX6aaw0QKIfYWTEABxsVaH2pgxneHD2Ypc6XWnX5513XUFcL5sMitRIxQaF8dL3K0hzzxvlKbpMEx8c/nmH3Sz4hUisRE5Qx9vy1dHakQ38nz/1+uuIce4J3slNh1ivS+4iKO9ITWE1NHbtfnjap6nJmXjlsrCwwZ6yP5Dap6jJtUcvpI0oYdzUuF7RRMX+8n+Q2iXeWHGdPbnM4fVgoedbhi0lMhM4ZwzcuVHW5rFwLO2srYbv3QNiuadquruqyoHUhooEMZO44X1iYmWHF9nCUlGklX9eto5OsKCFiygv9WX4TcmLladPJQS0rSogY9nA3DOjRhm3B8tyvpaU55k/0Yz4Sq3Zc5brf/j3a4gkZUUIEOffSsRfdL0+bVKdETpQQMerJXkzg0P3ytGmrtpQVJaSrnBzYvz2zBd4+mj/BX9huEwjbNV3bFbQ+hFgxEBtrS7w1wZftOvy4TZnQUBJHs0cPhoONFZsklAhrJsY+3UeWYKGslCTqtFXVLGcCz/0+/ZCnLMFiZVW/80Q7UMs5Q6nlhjUDZsyRmUoR8Iabyw1rJkY83lPWpG+tthC2qwdhu6Zpu4LWhxArzQB5q7890Q/a6lqs4EyKJlew0Fnv3HE+zJmVnEqVSBxH271yBQtFCb013g8VlVVsh4XnfuUKFjoTp8gkOhL/SaHEceR3MmvUIJZ3ZhlnQr+WmPSF7epH2K5+hGARGBshVpoJXXhdabkWqzjTsRsiWCismVykacdCidT8hgoWEg8FJRqWx4Xnfg0RLBTWTH4zK3bwjYshguXN0d71QnIb37i0lGARtts0wnb1IwSLwJgIsdKM6BIY5RZW4Nc9kYoUkCPBQosxHTlQnRwlih8aKljofrPyyvDbXr4+MkSwUOK4olIN1uyOUKT4IUscN84HtTW1TJgpUfzQUMEibLdphO3qRwgWgbEQYqWZoUl/4WR/pGQWs0rEPJHhhggWqs2TW1CBdQeuc7XZkoIlMb2IlZHnuV9DBAsVXMzILcP6g1FcbRoiWOZP8EVxqQa/7ecbl5YSLMJ2m0bYrn6EYBEYAyFWjICuCFd0Uj52nojjutbQAnJJ6cXYduwGV5stIVh0xQ8jE/Lwx0m+PpIrWHTFD+NTC7DjOF8fGVr8MD2nFFuPxnK12RKTvrBd/Qjb1Y8QLILmRogVI0GTPi2MIdFZOHA+UTHBsnhaICLic7H3bMJ9IVgWTvLH5euZOHghSTHBsnhaEMJic1j+GKUECxVcjEkuwJ4z8feFYBG22zTCdvUjBIugORFixYjY29ZP+qdCb+JkaKoigoWOOz6YHoiL1zJwPDjV5AUL5YuhHZYTwSk4deWmIoLFWm3J+uhseBpOhKQqIljoqG7RtAAER2XhaHCKyU/6wnb1I2xXP0KwCJoLIVaMDOVpIMFy4FwiLkVmKCJYKKU+LcZHLyfjfES6yQsWNycbJlioHtCl65mKCBbyz/hgWiAOXUzChYgMRQSLytKCtXkyJBXnrqWb/KQvbFc/wnb1IwSLoDkQYkUBaMv4vSkB2H7sBsJv5CgiWGgxXjw1ELtPxuNKbLbJCxZKpPbOBD9sOxqLq3E5iggW2j2gPvrjxA12LKSEYCEhuXhqAPadScCVmGyTn/SF7epH2K5+hGARGIoQKwpBT2DvTvLD+gNRSM4sli1YKrXSq/M62KmYSNp8OAYxKfmyBUtxmUa2YOEJ2W3vZoe3xvlg3f7r3NksGwsWbVUtV3THe5MDsPFQFOJvFskWLFR7iccnhMaFHG6vJ+bJnvTziytlC5Yajtwvwnb1I2xXOdsVmW5bJ6LqsgEVNwe9tRWD+rgzfwSp5BdV4uzVNLg62eCRQR252guLyUZ2YTkG9myLDm52kq+jOjVnwm/CzMwczz7sydXmjdQC3EgpQO+urujZ2VnydRSlS3465ZXVeMyvM+ytpZdWz8wrw6XITHRyt4df33Zc93s5MhMFJZXw82oPN45igoUlGpwJT2OF/Z7w9+BqkyKaUrOK4dWtDbq0l17MjQQOFXSrqqnFC49252ozKaOY7UD16OyM/t3cuK49F56GojItHhncCY62KsnXCdvVj7Bd49suZQpXW5ohavlYUXW5FSHEigFiZcC8LcgtqmBROGpLC8nXlVVqUVJZzWr72KmlL+JEQZkGVVU1bEeAp01NVRUKy6pY4TGqFs1DYakGmuoaONmq2DEGD1mF5ayKsbOdmvlsSKWkQoNyTQ0cbFWw5Wwzr6SS7Rzw9lGFpgrFFVVMsPCIK6KwTMNS6zvaqWBtJf1+Sajkl1TCRmXJJRx0bWqoTVsVu56HnOIKlvfFyY6vj4Tt6kfYrnFtt6a2DtU1NUhePVGIlVYEn5UIboGERq+BLgi7kcMqC7tKfJKPv1mI7cdvIK+oEjNeHoiu7aULpl92R7BqsNGJeVxt0lP8F79cAB3KTB8xAJ4dnCS3SSG+WfllLG/Ma6MGscrCUvl89QW0c7VlPhaUal/q/YbFZrPoIMpP8urIQejCUX5+6eZQuDhYs/vl6SP6GyklP+0GTX95IDw5xmXLkRiUa6oRk5zPigPS0YlU3v/uJFQqC0wbMQDdOMaFdmWikvKYPc0cOQgeHH30xZqLrE/pfoXt3h1hu6Zpu8S/1lzger/g/kf4rBjIS0N6wruXO77fGIriMq3k65wd1Jg1ciB+2BrO7cPy8MCOGOLngW/Xh3C1qVZZYPYr3mxBTsrg88/o1cVVdrXmCc/2Q28PZ1aJmI6kpOLuaocZLw7A8i1XkMLpUPpUUFfmU/LtBr4+ol2VN0cNYoUPkzjHZVAvdwx7yBPfbghlqf2lYmVpzsZl1c5rSOQcly7tHWU73b74uLBdfQjbNU3bFbQ+hFhpBkY/1Rt9u7riuw0hKKuU7mjZvZOzbMHydJAnggZ2wDfrg7na9GjnKFuwGBIlNOk5L3Rt74DvNoayOkZS6dPVVbZgeeHPPeDT250JFp4+6trBSbZgedzXA4/5dqpvs0K6SKLdKrmTviGRFsJ2m0bYrunarqB1IcRKMzF+WF906+iEpZuusLNYJQTL8490h3evtkwA8LTZUoJl2gsD0N7Nll1L/h1KCJaRT/RCX08XtvPF00eGCJanAz3h79Ue323ki95qqUlf2G7TCNvVjxAsAmMjxEozQotFOxdbtqiS46QSgoVCZ3t2dmICgKfNlhIsM0cMZE6oy7eGoZrjfg0RLGOH9mX+Gcs4+8gQwUJCsl8313phVl1j8pO+sN2mEbarHyFYBMZEiJVmZsZLA1hCtpU7rjKvdSUECy3G7q62+Gl7OFebLSVY3hjlDUtzM6zceZUrD4shgoWOoVwc1FixnW9cDBEsI4f0YuHX1CaPMGupSV/YbtMI29WPECwCYyHEihGYNXIQW4R/3RuJWko4ooBgmfxsP1irLLBmTwRXmy0lWOaMGYxKTTV+3XedhdAqIVimvzgAFuZmWLuHb1wMESzjn+4LO1srrN0biZpa0xcswnabRtiufoRgERgDIVaMAE1oc8cMZonGNh+JYeHCxhYsbJv6pYHQaGuw6XA0V5stIVjMzc3x9nhf5BSUYfPRWK425QqW+ifjQSit0GLTYb5xkStYqM3pz/dnOyvUJo9IaolJX9iufoTt6kcIFkFzI8SKkaBJnxbjlIwS7D4dr5hgeXOUN7LyyrHrZNx9IVgWTPRHws1C7D4Tr5hgmTfGh+Vv2XUqTjHB8vqIQSyB4K5T8feFYBG22zTCdvUjBIvgvhEr+fn5mDRpEihLrLOzM2bOnInS0tIm3//WW2+hT58+sLGxQZcuXTB//nwUFRXdMZne/tq4cSNMDXNzMyyY5IeIuFwcuZSsiGChNueN9UFsSj4OX0w2ecFiYWGO9yb7Iyw6m1WJVkKwUB/RYhyVmMc9LnIFC7U555XBLAnWkUspJi9YhO3qR9iufoRgEdwXYoWESmRkJA4fPow9e/bg1KlTmDVr1j3fn56ezl5ff/01IiIisGbNGhw4cICJnNv55ZdfkJGR0fB6+eWXYYpQ3aCFk/1x4Wo6qwmkhGChNueP90NwVCard2PqgoXKFbw/NQCnr6Th3NV0RQQL9dG7E/1xMSIDZzn7SK5goTZJSIZGZ7I2TV2wCNvVj7Bd/QjBIjBpsRIVFcWExqpVqxAUFIRHH30US5cuZTsgJEjuxoABA7Bt2za8+OKL6NGjB5588kn84x//wO7du1FdfWu+Ctqpad++fcPL2lp60TqlUVtZMMFy+EIyQqKzFBEs1OY7431xIjgFIdGZrLCgKQsWqjn0/hR/HDiXiJAYvj6SK1iojxZM9MPRS/zjIlewUJvzx/niZOhNhMZkmbxgEbarH2G7+hGCRWCyYuX8+fNMUPj7+zf8bOjQoeys9+LFi5I/h46A6BjJ0vLWMkZz585FmzZtEBgYiNWrV3NFlLQEFM68cJIf8yVJTC/kuraxYKnQVHO1Sccde08nIColT7ZgKSytlC1YeMKE7WxUTNTtOHYDqZl8USyNBYu2qparj96d6Ifdp+JZhWnIFCwlHNlqqc3543yw70wiIhLyuERS40k/t6hctmCprubrI2G7TSNsVznbFZluWydGq7r8xRdfYO3atYiJibnl5+7u7vjss88we/ZsvZ+Rm5sLPz8/TJ48me2w6Pj73//Odl1sbW1x6NAhfPLJJ/jqq6+Yf8vd0Gg07KWjuLgYHh4eKCgoYEJILv3nbQVQV19l10zaNVXVtcgqqGBP1B5t7VlFYqmUlFehpKKK+eh0cJVeKI/azC2qZBlcu7jbM38EqVBRv/wSDbumo5stX2XVEqouXcWezt2dpe98kdigas3UqR5t7CT3LUF1gEorq1mIcjsXvj7KLqxkUTvURzzjQkUiC8u1MIMZOrractlCXokGldoa9ndaWEhvtFJTg+yiCvZ3dnLj66OiUuqjKlYQsx0VXBS2ewfCdk3Xdqtq6mCrNkfkf0YbVHXZxcWl4WFY8ABWXf7ggw/wz3/+U+8RkKGQMT3//PPw8vLCp59+esvv/vrXvzb8fx8fH5SVleFf//rXPcXKl19+yQTS7WRnZ6OiokL2PdqpzJGWXwFbdS3sraV1JX2n7a0tUFhWxURLWye15O+qndoCGm01W4wpLNrR1kpym/TenKKahjbNJa7G1lbm7EVtkuBxtVdJvFtq05KJFaoFVFJuDju1tD6yNKe+tUBxRTWyCyvQxlEtuU0ahwptDduBomKCDjYcfWRjgbySGmQWlMPdyVryuNioLFChNUdpBQm7SjjbqSS36WxjiQxNNbIK68fFQuK4qCzNYGNljjJNDXKKKuDmIL2PHGwsWa0k6qPicq2w3bsgbNd0bZceusoqq5GTkwO5lJSIOkQPvFhZuHAhpk+f3uR7unfvzvxISAw0hvxOKOKHfqfPkJ599lk4ODhgx44dsLJqesEhnxjabaHdE7X6TsP/8MMPsWDBgjt2VmiXxxBVbW5hwbYmNxyMxmvP9Zdc5pwiQvaeTUBOQQWGP9YT/bu3kbww/rI7At06OeHAuSSMfZaKAzpKfvr/v7UXYWFujuGP98KAbm0k7x7sP5fIEpqdDU/H80N6wcvTTeLdAp+vvoCnArvijxM3MHNkf3i4S+ujsNhshEZnISGtCMMf6wWv7m6S+2jp5lD49WvPjtzGPdefpdqXQlZ+GVbvimCL+HOP9WRbz1Lb3HIkBo72apwIScWYYV7w7CDdrhZ9fxJ2Nlbs7xzQ3U2ykDwTloaMvDKExWTh+cd7waub9HH5Ys1FDA3siu3HYoXt3gNhu6Zpu8S/1lxA27ZtZe+sULSp4P6Ce6TJQPr27dvkS6VS4eGHH0ZhYSFCQkIarj127Bhqa2uZuLgXJCSeeeYZ9hm7du2S5DgbFhbGtvTuJlQI+jmJksYv9sebmxv0om1/WkTlnKXaqC2Zr8TmwzHM0ZLXb0GO0y2Vc58/3hfbj8ZyO7G6ONqw+/1t73UmJHgY1Kst82FZxul0a2ujYm1uOBiFKzFZXG2SoJPrdPvOBD9sPRLLxBJPH7m72tX7sGznjxJ6a5wvdh6/gdCYbC6nW6qz9O4kf6zbfx1XYvjGpY+nq7BdPQjbNU3bbY75W3B/YbQR69evH9sdef3113Hp0iWcPXsW8+bNw/jx49GxY0f2nrS0NCZu6PeNhQod6/z888/s35mZmexVU1NfDI4igyjCiEKb4+Li8MMPPzD/GMrP0lLIdf5ydbRmOUZ2n4xXLKyZ2iQBsP9sAndYs7uLLd6fEsCy8p6PSFckSsjNyYa1ufN4nGJhzdRH5FC653S8YmHN1OY7E3xZNBRvWHMb6qOpgdh2LBbnrvH1kbBd/QjbNU3bFbQujCov161bx8TIU089heHDh7Pw5RUrVjT8vqqqijnglpfXe4aHhoaySKFr166hZ8+e6NChQ8MrNTWVvYeOhJYtW8Z2bgYPHoyffvoJS5YsYU62LYncSd/RTo1FUwNw7FKKYonjqM2Fk/xx+spN7sRxNDF9OC2IRRgdD64fE2NP+k72aiyeFoBDF5IUSxxHfUQiiY51lEocR21SKDVN+LyJ45zt1fhweiAOnE3E0eAUjrsVtisFYbumabuC1oNRxYqrqyvWr1/PfFDI65pCjO3t7Rt+7+npyUKOhwwZwv5N/6V/3+1F7yVot+bKlSvsMykbLh0BvfHGGyaxrSdXsFBo6OJpgbgUmaFYav76cFR/hMdmcafmd7BT4aMZQTgenMJ8b5SY9Ck09IPpgTgXnq5Yan7qIxIsIVGZiqXmrw+l9sfVGzncqfmpjz56NQinQ29iD2cfCdvVj7Bd07RdQeug5Vf4BwxDkm8tnhqI6MQ8VohQiWrN1CZNLonpRdh4KIqrTZqYaHK5HJmJrUdjufLcGJI4jgQLlS/YRAUiFajWTH303uQAxKUWYuMhvnExJHEcbaunZBazNnmqNVMf0biExWQzp1+ePhK2qx9hu6Zpu4IHHyFWjIAh6c1pYczIKcXaPZFcCdUMSs0/zhcFxRoWacTTJptcZgSxGju/77+OWo5rDUnNv2hKAFIyirB2L1+bBqXmn+CHnIJyrNnNNy4GpeYf48PyxqzZE8nyv0hFZWmBD6YHsSR3v+7j6yNhu/oRtmuatit4sBFixUgYUkCOolHKKrQsqqSK44tuSPFDyixJKW5/2BbG1abKiiaXQJZxdtUfV7kmJkOKH9IRVkFxJX7aEc7VpiHFD98a6wNtVQ1+3MY3LoYUP3xj5CD23x+3h0NbXe9kLnXBoKPF7LwyrNzJNy7CdvUjbNc0bVfw4CLEihGRO+lThtq5Y3xYhselG0NZEiRjCxZq89WXBjJn1u82hHC1qSvmRuJh+ZYwtqAbe9InH6W3x/ugproWSzdd4WpTrmChPnpj1CDYqC3wPee4yBUs1Ob05/vDzdGatVmplV5ugXLqLJjsz3LsUNg4Tx8J29WPsF3TtF3Bg4kQK0bGkEn/jVHecHZQ45v1ISzjqBKCZcpzXiy53b/XBXO1SYJl4eQAtoAv3RTKstYqMenPHevDxMO3G0K42jREsJCoo1T+Szj7yBDBMmFYP3Tv5IQl60LYrhvPpP/ORD+W3O67jXzjImxXP8J2TdN2BQ8eQqwogCFFuGhh7NTWDkt+D2ZnwFKRK1iIcU/3hZenK77+7TJXm8y3Y6Ify2JJT1IlHNfKnfR1oo5Cqmky5GlTrmAhJg/vjx6dnfBvznGRK1iIUU/0ZknKvv49mJUSkAqNx7zxvrBVW+Lb9Xx9JGxXP8J2TdN2BQ8WQqwoRONJPyufr+LolOH90dPDmT3JUwExOYIllUMAEC8P6QV/r/ZMsPBUemYZLcf7wkZlyZ6G6mQ63eYWVXAJlpkjBqKzux2WrA9GdY08p9v03DLwMHZoXwzo0QZf/34ZlQocCREvPNodDw/qyCb9Uo6nVJr0Z48ZzEQd7ULJdboVtnt3hO0qZ7v5xXxV4AWttDaQ4H+Qk2VEfB4sOaoYPzSgA7YejUGHNva4Fie9EBctimnZpUhIK0TXjo6o4NgSHeLbGat2XmVHNTxtUk2dlMwSnAtPQ8CADlzXPu7nwcIPNdW1iIzPZcX+pIodnz7uLHtsry6uXG369m2P9JwyZOaVITY5H7kcovBR7074fV8knOytudrs5eGMm1nFiIjLgYOtihVhlMqT/h5YvvkKiy7iabODmx08Ozri4PkkePdx57r2Ye9OrB5QeVk1i+KSWlySELbbNMJ2lbFd2rW1MBNRQq0Ns7pWGMxOafydnJwMLg/eb84mlFdWs2RhNFFJhc5etdW1LFeJimd1YyXSNTAzN2PbojxtaquqUVZZA1trS5YLgavNMi07N6Zredok6CnI0tKc+35Ly7Worq2DnbUVq2nEdb+lWpiZg7tNqmhdrqlhbaqs+NrUHQXx9hHtlJVUaGGntoJaoqBr3CbZHv2dvH1UUKKBhQW/HQnb1Y+wXePaLttdrqtD8uqJspOBNtcaIFAOsbNiAI42ari72iItpwzzx/uxbUqpVZc3HIpmk9rrI70lV2smKBdKaUUVsvPL8M5Ef8ltklf9338+T/oUM18eJLlas67qMuU9yMgpwxuvDEantv/LQqwPapPCmzWaaswb5yv5fqlY4qGLScgvqsSsUd6seCM4qi7TKUdeYQULA5faJlVdXvbfaKbXRnpLrtZM0C4SVZHNzi/nGhdi4bcnYG5hjldHDOKq1kyVa4Ojs5CZW8rdR1R1mRaKwpJKYbv3QNiuadquruqyoHUhfFYMZNqL5CvhwMLreJy/2rnayna6fe5P3ZizGm2H8jh30lO/XKdbv37t8dwjnvjPpitIyynl8ieZPXowXBytWVgzTx91ae8ky+mWGDO0D3p7OLPIJJ42qU6JXKfbP/t4sKMSOlfnGRfa6Wqo1pzBNy79PF2Zf5GcPpr+krDdphC2a7q2K2h9CLFiIGZmwKsjBqKtiy13yK4hkRZjnuqDPl1dWE4UJcKaicd8PGQJFkriRoLFwcaK/a1KhDXTuEx6zgtd2ztwhz0aEiX0wp97wKe3OxMsssKaZUz6JJDkTPrCdvUjbNc0bVfQ+hBipTk60cwMs0YNgrODdcMxghKChfIXkLMaJUVTInGcIYKF/CLmjvNhT2I/bFUmcRw9GU97YQDau9mya5VIHEeMfKIX+nq6yE8cp+CkL2xXP8J29SMEi8DYCLHSXB1pZoY3R3vXL8bb+FLAGyJYKKzZ3cWGLapKpOY3VLBQWDO5dNOCrERqfl1Ys6OdCsu3himSml8X1kw+L3Q8KCs1v8KCRdhu0wjb1Y8QLAJjIsRKc3YmJTAa54Pamlr8/Mc1RQrI6RLHUWTRyh1XFSl+aKhgoayUdCyzehdfHxmafItCzKnWiBLFDwk6hnJxUGPFdr5xaSnBImy3aYTt6kcIFoGxEGKluTvUzAzzJ/iiuFSD3/Zf5ypzbohgmTVyECvH/uveSNTWmb5gWTDJH7kFFVh3gK+PDBEsc8YMRqWmGr/ui+Rq0xDBMv3FAazGE1XR5hmXlhIswnabRtiufoRgERgDIVaMgK4IV3pOKbYejeW61pB6LFSWnUJRNx+JYTkMTFmw6IofJqUXY9uxG1xtGlZAzhc5BeXYfDSGq01Dix9Sxs5Nh/nGpSUmfWG7+hG2qx8hWATNjRArRoIm/fenBCAmuQB7zsQrJljeHu+HlIxi7D4df18IFioFHxGfi71nExQTLAsm+iPhZhF2c46LIYKFhCSJ112n4u4LwSJst2mE7epHCBZBcyLEihGhLeNF0wIQHJWFo8EpiggWc3MzdsRCaayPXEo2ecFCCeM+mB6Ii9cycDw4VRHBQuGo7032R1h0No5cTlZEsNC40K4OpbjnHZeWmPSF7epH2K5+hGARNBdCrBgZlaUFPpgWiJMhqTh3LV0RwUILzXuTA3D+ajrOXk0zecFirbJkguXo5WScj0hXRLDotvLPXEnD2avpigiW+qrU/rgYkYGz4WkmP+kL29WPsF39CMEiaA6EWFEAmtAWTw3AvjMJuBKTrYhgoRBq2j04fCEZIdFZJi9YKJpp8dRA7D4Zjyux2YoIFhqX96f44+C5RITEZCkiWGhcFkz0w9FL/OPSEpO+sF39CNvVjxAsAkMRYkUh7GxUeG9KAHO4TUwvki1YKJqFZxJdOMkPu07GITo5T7ZgoeKJcgULT5iwg119H20+HINUzmyWjQWLtqqWa1wWTvbHjmM3cCO1ULZgoXpNPOPy7kQ/7D4Vj4iEXNmCJbeoQrZgqaZicBIRtqsfYbvK2a7IdNs6EVWXDai42Xf2Zrg5qaGykl4PUqOtQWxqASv+1d/Tlas9KpRH1XIpwVlnjmKClEU1Pq2QLeLePdswh0+pUCHBtNxS2Nuq0I2jUBmRkFaE0soqtHOzQztnG8nXUSXrGzcLWRXivl1cuNq8mV2K4nItq0XUwdWWa1yoTQovHtS9DdV7lExOQQWyiypgb2OFrhzFD2lcEtOLUaGtxmDOcSEBmZRZAjsbK/Ts5CT9ZgG2W1ZSXsVKRLRzkT4uwnb1I2zX+LZLFevt1BaIWj5WVF1uRYiqywZgb22J+JtF7Etnq7biKihYVKpFTEoB3BykV+e1MjcHVUSn0Nua6hrYWaskX+toq0J2QQWikwvQxtGaa2FUWZqhoLgCdbW1cLRVc7VZUqFFenYJtJpq2Kikm5udyhzFFVWITS2Eq730Nq2tLFCCOlbNldq0s5Y+Lo42VsgtrkQ0jQv1kcTr6H2W5nXIK6pgCQEdbHjGxYolyItKKkBbJ75xsbYyQ3FpJeJu1sHZTnof2amtmKBLzymBRlMlbPeu4yJs11Rt18qihqvWl+DBQIgVA6AQz1FP9sau0/F4fZSX5DLn8TcLsfdMArLyy/HikJ7w6uYmuc1fdkegQ1t7nAhOwevDveAh8Um+rKIK/7f2IltaXxjSE/27t5G8GO8/l4hKbQ0uXEvHiCd7oW9X6TtCn6++gACv9jgRnIrXR/VHJ4k7QmGx2QiOymRi8MUnesLLU3ofLd0cin7d2+DIhSTMel76uGTll2H1rgjWVy8+Tn0kvc0tR2KgVlviXHgaJgz3Yqn2pbLo+5OwUVvi+SE92ZGf1HE5E5aG1OxihMfm4KUnerEqtlL5Ys1FPDywAw6eTxK2ew+E7Zqm7RL/WnOB6/2C+x/hs2IgAQPaY6SMs1Qba0u8O8kP6/ZHcTvd9uzsLMvp1sqSolH8mE9IaAyfc6e7qy3mj/PBL7siEB6Xw3W/j/p0luV0a2+rZvf7+97rTLzwQEJDjtMtOcBSmxsORrE+4sGjnaPsKKG3J/hh65FYhHI63bo62uDdCX5YuycC4Tf4xsW3n7BdfQjbNU3bFbQ+hFhpBoIGdGCVdnkXxjZONix8dtuxWMXCml0drVmUEEXd8IY1d3J3wIJJfthwIAqXIjMUiRJyd7Gtd7o9EqNYWLMbjcuUAOw8HodzCoU107iQM/Se0/HcYc3kE/T+5ABsPBiFCxF84yJsVz/Cdk3TdgWtCyFWmomg/vIEi7O9Gh9OD8SBc4mKJY5ztFNj0dQAHL+Uwp2grJ2rHVvIdxy/gZOhqYpM+jQZfjgtCHtPJyiWOM7JXo3F0wJw6EISy/+ihGChcaG+PRGSyj0ubs42+GB6EMuQS9fzIGxXP8J2TdN2Ba0HIVaaEbmTPoWGfjQjCKev3FQsNT+Fzy6aFojLkZncqflp54HS5JO/w4HziYpM+hQaSn10PDhFsdT8NC6UrO5ceLpiqflpXGjSD4nK5E7NTwLro+lBbLEgPyMehO3qR9iuadquoHUgxEozI3fSp+RbtBiHxeQwZ00lqjWTfwbtsEQn5mPT4WiuqsDODtZsISdHOdpl4blfQxLHffRqEIKvZ7J8NUpUa9ZlKI2Iy8UmznExJHEcZSCOSy3ExkN840Ih5mRHlL14+zG+PhK2qx9hu6Zpu4IHHyFWjIDcSZ+lN58eiLibhfh133WuhGqGpeb3R0ZOGdbuiUQNR5u09UulBMhBeMPBaK77NSQ1/4fTgxCdlIff9/P1kSGp+RdNCUBKRhHW7uVr06DU/BP8WJj6mt1848JE3YwgVh9q3YEorvsVtqsfYbumabuCBxshVoyE3EmfFZCbGoDs/HKs3HkV1TW1ihQ/fGeCLwvZpeySVRxt0tMQ+XbEJuezsGqe+zWk+CEdQ93MKsGqP/j6yJDihwsn+aOguBI/7QjnatOQ4odvjfVBVVUNftzGNy7WatoRCkJiWhFW77rGdb/CdvUjbNc0bVfw4CLEihGRO+lT/haKuimvqMIylj6+xuiChRI6zR0zGBbmZli6MZRlV+Xx7aCoprTsEiZ2eO5X7qRPux0UJUTiYfmWMK425QoWc3NzvD3eBzXVtVi6iW9c5AoWGpdZowbBVm2B7znHRa2yZMKX8vnQgsFzv8J29SNs1zRtV/BgYlSxkp+fj0mTJoFS2js7O2PmzJkoLW16QRoyZAgz8savN99885b3pKSk4Pnnn4etrS3c3d3x/vvvo7paes0cJTFk0n97oh/7+7/bGMqVsdEQwfLGKG/mj/LN+hCUcbSpqx9TUFQvHnju15BJf+HkAGira7B0E18fGSJY5o71gY3aAt9uCOFq0xDBMuOlgSw1/pJ1wVzjQpM+OT2WlmmY8OW5X2G7+hG2a5q2K3jwMKpYIaESGRmJw4cPY8+ePTh16hRmzZql97rXX38dGRkZDa+vvvqq4Xc1NTVMqGi1Wpw7dw5r167FmjVr8PHHH8NUkTvpm5uZYd44H5Yy/tv1ISgp0xpdsBCvvjSA1R5a8nswijnapPPmBZP92YREkwvP/cqd9OnY7J0JfmzbmZ7eeNqUK1h0oo5Cqpes4xsXuYKFmDy8P3p0dsK/OceFjs0WTA5A1X93hHjuV9iufoTtmqbtCh4sjCZWoqKicODAAaxatQpBQUF49NFHsXTpUmzcuBHp6U0n2qIdk/bt2ze8GhcbPHToEK5fv47ff/8dgwcPxnPPPYe///3vWLZsGRMwpkrjST+7oJxLsLw52huuTjbsSZ6+tHIEC48AIOi6Xh4u7GmogrPSM2WApaq+1G6dTKfbvKJKLsHy1jhf2Kot2S5UdY08p9vMvDIuwTJzxEB0drfDkvXBqFTgSIgYO7QvBvZog69/v8z1lEqT/jsT/WBhBvxnU6hsp1thu3dH2K5ytptfLH1uEDw4GK020Pnz59nRj7+/f8PPhg4dyrbRL168iJEjR97z2nXr1jExQkLlxRdfxF//+lcmYHSfO3DgQLRr167h/cOGDcPs2bPZLo6Pj88dn6fRaNhLR3FxMftvbW0te8mFwvJyCyrYYimF7h2d8LivB7YciUW3Tk7MW14qo57ohd/2RSIxvRAFJe6Sr23nYosXHu2OlTvDWSQNT5tPBXZBaYUWF66m4cnArlzXThruhVU7r7KaQnRduVqaqfXzdGN+KHvPxGNgr7ZcbY59pi9+2XUNWXllyC+qgKXEwmpUO+iZIE/8tvc6S1DF0+bwR3tg86FoRMbnokt7R8nX0q4MlbxftjkUFKHJ0+ajgzsxZ2jKc0P/n+faCc/2w89/XENJRRXyCitYsUcpCNvVj7BdZWx3+eYrqKszcO424FpBy2BWZ6Rg9i+++IId0cTExNzyc/Ix+eyzz5i4uBsrVqxA165d0bFjR1y9ehWLFy9GYGAgtm/fzn5Px0jJyck4ePBgwzXl5eWws7PDvn372E7L7Xz66aeszduhe3NwkF5w7naGfHYS2qpaVNfWsWMIqVRqqkEPttYqC67rCPqiW1qaw8rCnOta8srX1tSxNsmJlofSci2srCy422T3W1kFSwu61ozrWjqfNjMzh9pKTpvVsLQw475fTVU1qmsgr48qqljtJd42KdKBHA9JSMoZF0tLC6gs5faROfe4CNvVj7Bd49ouzWX0Xbn05VOQS0lJCfr06YOioqJbdu4FD9DOygcffIB//vOfeo+A5NLYp4V2UDp06ICnnnoK8fHx6NGjh6zP/PDDD7FgwYJbdlY8PDyYcDLEUJ3s1Cwkr0JTgzljfdjTstSqy2v2RqCqqhazRw+WXBWYoPBg8q+oqanF/PF+ktskkfPJirPs/7/5ymDJ1ZoJyigZGp2N8kot5ozxkVw5mfhs5Tl2dEVHNG+OHiz5fqlw4R8n41BJfTvaB53c7bmqLtPuDKXQnDfOV3KbVHX52w2001HH7tWDY1wokV9MSj602lq2ZS21TeLdb46z/77xymCuas2UkO9EaCqLGuMdF6q6zCZ9MzNhu/dA2K5p2q6u6nLbtm3ZTr0cbGxsZF0naDm4R3rhwoVMjDT16t69OzvCyc6+tVIuRexQhBD9Tirk70LExcWx/9K1WVm3VsPV/ften6tWq5koafwiyNANeZnBDLPH+LAKyj9tDeNy/urSzpEdA/A6dxLjh/VjX25eJ1ZHO5Vsp9sh/h4I7N+BRfrw+L9QfhKKaqInoRXbw/mcUT3d6n1YNvP73Mx8eRBcHK3Z/fK02dbZhvmwLJMxLs8/2hO9uzizyCSeNm1UlrJ9WAK82mOInwe7X94+mjvOV9huEwjbNV3bbY75W3B/wT1ipGb79u3b5EulUuHhhx9GYWEhQkJCGq49duwYOyvUCRAphIWFsf/SDgtBn3vt2rVbhBBFG5EA8fLygtJYWdU7d9IRwPKtfCG7Dw3oIEuwmP13MaaFlTdk15AooRGP90Rg//bcgoWcbt8a78ucbX/cpkxYM20t066Vg40V+1uVCGsmJj3nha7tHbjDzQ1xun3mIU9Zkz7ZrLDdphG2a5q2K2h9GE1e9uvXD88++ywLQ7506RLOnj2LefPmYfz48cwfhUhLS2Pihn5P0FEPRfaQwElKSsKuXbswdepUPPbYYxg0aBB7zzPPPMNEyZQpUxAeHs58V/7yl79g7ty5bAelJSBv9fkT/JiI+IkzgZFcwUJRQrNe8WYFwJZxJkVrKcFCOyza6lqs2H5VkcRx5JMxd5wPq1fyw1ZlEsdRlNC0FwagvZstu1aJxHGGTPrCdvUjbFc/QrAIjI1R98IoqofECPmcDB8+nIUvkwOtjqqqKubkSg6yBO3IHDlyhAkSuo6OnF555RXs3r274RoLCwuWs4X+S7sskydPZoLmb3/7G1oSXXidRluNFTv4UsAbIlhmjxkMtaU5ftjGlwK+pQQLhTWTcx1FCimRmp+FNdOuTh1Ydl0lUvPrwprp2I1225RIzW+oYBG22zTCdvUjBIvgvhUrrq6uWL9+PfO8Jq/r1atXw97+f45Unp6ezJmRstYS5PR68uRJ5OXlobKyEjdu3GAJ4W53gqVoIYr8IZGTk5ODr7/+GpaWRovC5k5gVFSqwZrdEVy5LAwRLPPG+zKHWwrrU6L4oaGChRLH5RZW4Nc9kYoUP2SJ4yb6sWMZqjWiRPFDXeI4S3MzVuNJieKHhgoWYbtNI2xXP0KwCIyF8DJqZmjSZ1WMc8uw/mAUV5lzQwTL2xN8mUj6bf91rjZbSrAsnOyPlMxiVkae534NESwLJvmzvDjrDvD1kSGCZc6YwSzcl6po87TZUoJF2G7TCNvVjxAsAmMgxIoR0BXhik8twI7jN7iulStYqJYQCQAqJrj1aCxXmy0hWHTFD6OT8rHzRH2klxL1WKjNpPRibDvGNy6GFT/0RU5BGTZzjktLTPrCdvUjbFc/QrAImhshVowETfqLpwUhLDaH5SlRSrAsmhqImOR87DkTf18IFhJ1IdFZOHA+UTHBsnhaICLic7H3bIJigmXBRH8k3CzEbs5xaSnBImy3aYTt6kcIFkFzIsSKEbFWW+KD6YE4G56GEyGpiggWOu5YNC0QwdezcDQ4xeQFi71tvWA5FXoTJ0NTFREsdNxB43LxWgaOB6cqIlgoZwcdsYRFZ+Po5WSTn/SF7epH2K5+hGARNBdCrBgZOuP+YFogDl1MwoWIDEUEi8qyfjE+GZyKc9eaLhppCoLF0U7NBMuBc4m4FJmhiGCh9PbURyQczkekKyJYdMdQp6+k4dzVdJOf9IXt6kfYrn6EYBE0B0KsKAA9gS2eGog/Ttxgx0JKCBZajBdPC8C+Mwm4EnNrJmFTFCzODtZ4b0oAth+7gfAbOYoIFlqMaVx2n4zHldhsRQQLjcv7U/yZMAuJuTUTsylO+sJ29SNsVz9CsAgMRYgVhaDkbe9NDsDGQ1FIyqiv+ixHsFRqpVXJ1Z2rkwDYerS+bo1cwVJc9r+K1byChSdk183JBu9O8sP6A1G4mV0qW7BQcUmpONjV99HmwzGIu1koW7BQIUOecSFn6B3HbiAyIY9KGMma9POp/pFMwUKh7lIRtqsfYbvK2a7IdNs6MVrVZVOGChk6OTkZXHFzwNwt6OPpyqogS6WoVIvLUZlwsFUh6P+3dx7gVVRb3/+n9wqhBEJXOqRB9F47KGIHBEIHUVApKiiir13vtb5eldeCKIIK0nvvIggBAgESQiAkkN57Oymc71mbG76EkjN7JmdyQtbveWIkmTl7Z806e/5nzyo9lfdIIs5eykFGTgk6tvWEn0Tjr5KyShw5kyo6PT8Q5Cc15qW0AlxIyheND2/z85Q6NywqTTRQ9O/aAt5uyqsL5+SXITwmA809nRBwu4/UmKdjs5BTWCYWxlbezorPKyqpQNiZNBHPcnffKxWWlUIiJzmjCO1au6Nja+X+VFpWiaPR6SivrMLAfu2kxkzJLEbUxWzRI6pHB2+pc6kpZX5xOXrf1hzNJRousu+ahn3X/L5L7xdHO2tEfzdCdY+f+roHMPrBYkWDo/aduQrpuSVwsLOFo72N4vMKS8pRWFoBVyd7uDvbSY1Jn0gMlZfh5WovHikohXZkcgoNcHa0haeLXFuC3KIy0f2Yns+7OMoV30vNKYGVFeDl4gAHCRsVFBlQbKiCq7Od6O8jQ3ZBmSjr7+XqIHVdqGhcXnE5XBzt4OFiLzVmbmEZyiqqhG2dHJTbiDpSZ+aXwcnBBp6uDqJlg1LyCstQWq7uumTklaLqslHaRuy7pmHfNa/vUkVoamNxaeFoFitNiIYv+9qIcbSzxYD+7UXA5DNP9VHc5vxCUh7W748VuyRPP9gN3SU+XfyyMVI8ujh2Jg2TnuyNti2UtWWnHY6PF4WJsvPDBnZFj47NFI9Jqdd0Mz55LhMjBnVH13Zeis/9aOFhdG7ricjYLCkbRZzLwOHTKYhPKcDwh7qhW3vlNpq34jjatHDD0cg0qTHTc4rx0/rTYpdl2INd0aODchut3BWDKqMRETEZUteFmPPNn2JHZ9iArujZSfmYByKSxa5OdHy29HX596IwdOvgjWNRcjZi3zUN+655fZf4fNFhqeOZxg/HrGhkYEh73K/iWSo9BnplVBAWb4qUDij1v72FuiwhO2sRE7Jka7R00G371h549qne+Hn9KZy+kCV17hNqg27dnTBzZAB+2RCJk7FyNrqzj6+qoFtqeU/9i37bfEbcdGTo2r6ZqqBbSjenMf/YHo3jkkG3rZu74MWn+2IhXZdYuetCQpt9t27Ydy3Td5mmB4uVeuDBOzqoWvRbNnPBaxR0uz1at7Tm5h5OIn129Z5z0mnNt/l54YVhffH7ligcPZOmS5YQ7ZDMGhOEP7ZF65bW3MLLGa9R0O2uGN3SmilAk8ZctzcWByXTmklIzhgZiN+3nsERyevCvmsa9l3L9F2macFipZ5Qu+g383TC3Ikh2LA/VrfCcRQb8cbE/iJ9VrZwXEdfT0wfEYDVu8/hrxNJuiz6Lb1dxGJIrQv0Khzn7e6INyaEYPNfcboVjqOsG0o333n4InZJFo6jx070CXfNnnPYL3ld2HdNw75rmb7LNB1YrNQjahd9eqO/OTEEu45c0q00P6XPvjkpRAgO2dL8fi3dMSM0AFsOxmHH4Yu6LPr06Y3K5G8/dFG30vwUG0Q22nssQbfS/HRdqFjdoZMp0qX5WzVzwewxwdh6MA7bJa8L+65p2Hct03eZpgGLlXpG7aJPxbfoxnjoVIr4hKFHt2bKJqIxI2IyRYCozJhtfNwwc1Sg2A1a/2es1LlaCsfRYkjBebTLoke3Zioc9+YzITgalSYaROrRrbm6ui4FJS/fJdeV2sfLWdSN2X88Eev2ydmIfdc07LuW6bvMrQ+LFTOgdtEXN8ZJITgdm4kl26KlCqppLc1Pkfm/bjkjNWbrZq54aVSgiCVZviNG6lwtpfmpfQEFCP+x/azUmFpK89N1ocwFerYuM6aW0vxzxvVDQmoBFm+Oki6uRwUIj0WnY9kOORux75qGfdcyfZe5tWGxYibULvpXGsiFID45Hws3nBY1BXRpfji+n0ilXrDulNSYFE9CgiUqPgu/bo6SOldL80N6Pn7uUo5I5ZYZU2vzw8S0Qvy0Xs5GWpof0tZ4boEB89eelBrTy91RNE4kgUUZZzLnsu+ahn3XMn2XuXVhsWJG1C76Dva2Qjyk55Tgh9UnRQEkcwsWG2trkXVTUloh5iszZgsvF8wYGYD45Dz8tPaU1LlqF316Pk5ZTckZhZi/Rs5GagVLdSPC3IIyMV+ZMdUKFqrQ+VJoAKoqL2OeaCVQJfXYbNaYYFxKLcCCNXLXhX3XNOy7lum7zK0JixUzo2XRpwyYomKDOJeqq+ohWF4aHQQrKyt8vey41JgkWKaHBiItuxjzV5+UOlfLok/PuHPzr4gHmTG1CJbZY/vBUFGFecvlbKRFsEwbESCq3H71R7jUmLTovzImGBm5JfhhlZyN2HdNw75rmb7L3HqwWNEBtYs+PXqYNbafKMlOn0wKi8vNLlisrawwfWSAKDn/1dJwqTF9PJ0xbWSA6M1Di4vMuWoXfYrzmTU2GMVlV3aEZMZUK1iqC2GRrb5ZdlxqTLWChQTk1KF9RUr1l0vkrgtlm708Ogj5RQZhX5lz2XdNw75rmb7L3FqwWNGJmot+Zl6plGChN6uNFcQneRIuagRLSpbymzHdhJ9/ui+8PZzEp6FSQ6WUYHlxuL8QDz+sjoBRZdBtdn6ZlGAh8VBZeVl0ia6sUhd0S4/dZATLjNBAUfGWdqGoL5AegmWyKOXvgi+XHhM2lln0Z44KQpmhAt+vkuuGzb5rGvZd/XxXtmMzc2vAYkVHqhf91bspTRhSgoXerNRw7mJKPoyQzxKiwFmZMUmwTBnaR5TEDotMkRqTBMvzT/vDUF6FotIKVWnNVG8BEmOSYBGPsKhJX06JqrTm3zefkRjximChnSQPV3ucicuWmm9NwSKT8ECL/oTHeqFzGw/sDJOrR0GL/oxQEnVVotmezHzZd03DvquP785fHSH14YC5NeCuyxq6LvecthL5xQZxs6HOwkopNVTB2uqKCJE5j+6/FCtBkfa21lZS51KAGgXVU+dja5kxRTfiStjbWoubs8yYZJeK/87XRnK+xWWVYjwaV9ZG1EKe4m9kxywrv7IAOqi4LnSuLdlIckzaKaPux+QLsteFmlPSXGWvyxUbXRb2kbUR+65p2HfN67u0g+pgZ81dl5sY3HVZA66Odrh8+TKsbawxdZi/eCartHPtj2tPiRsFBZ8p7XhLUKru2Ys5cHOyw4sjAhSPSYvDWz8cEGNSuXyZrsBUVXf/8STRCHHK0L5S8333x79RWlqBZu6OeO6/z62VQE0El+84C2trK7w4XM5G1HU5Kb0IHi72YodH6ZjUdfnz344KoUNxOzJjUlG9Y2fT4eJgi+kjAxWPSbz0v3tUXRcqjkeVdUkg0d8pM1/qupxfaICnqz377k1g37VM3yW463LTgx8DaeT54QEiLoNSdmWCv7r4eaoKuiUmPt4Lzo62mC8ZxOrl5oAhKoJuiUfv7oROvh74cc1JyewZa5ElRDsIP6+Ts1Hfri0R0tNXOuiWmPp0X7GI0nxlxvRt7qoq6JYYMbCbECmygYAUzKwmhoW4N8gPvTo3FwHNsvOlmBv23ZvDvmu5vss0PVisaMTd1R7TRgaivKJS1PvQIzVULKIjA8X37yRT+kJ6tcaQ++UFCz1vHvdYT1WChZo1kngoK6/EgrVyNnri3s4I6dlaWrA4OdhevRlToK8eac3W//2U6O5sJwJ99Uhrph30EQ92VbXoU+8j9t26Yd+1TN9lmh4sVuqB6uCv0rIK6aJoWlJDKeiW3vBU10RmTLr5qxEs1hoES3XQbWFpBX5ed1pqvmoFS3XQLcVn/ChZWEpLWjM9nqPYIMpc0KNwHAlJtYs++65p2Hct03eZpgWLlXqiOr0ut9CAn9fLlcnXIlgordlQXiliYGTGbCjBQmnN2fml+EWylYAWwUJpzUUl5fhJspWAFsEyY2SgCCSk3TY9SvNrFSzsu3XDvmsaFiyMOWGxUo9UFzBKzy7Gb5INvLQW36KiSYs2RkqN2VCChdJ9UzKL8Ltk40QtgoUKx2XlleLXTXLXRYtgeXlUkHgURD2e9Gh+qFWwsO/WDfuuaViwMOaCxUo9U73ox6fkY/lOuRbpWgQLNf5KzSrG0u3RUmM2pGChrKgVO6nmjD6CZfbYYCSkFYhurmrqsKgRLNTfhETSkm1npMZsSMHCvntz2HdNw4KFMQcsVsxAdROuqLhsrP8zVupcrQ3kLiTmYu3e81JjNoRgEc0PQwNw+kImNuy/IDVftYKluvkhpX6v2yd3XTQ1PxzXTzRkW71H7ro0xKLPvmsa9l3TsGBh6hsWK2aCFn1qkX70TBq2H76om2B5fUIIIs5litoojUGwzAwNRFhkKnZI2kiLYCFRF342HdsOxesmWOaM74+ouCxRW6IxCBb23bph3zUNCxamPmGxYka83K/ssOw7loD9J5J0ESyODraYO7E/Dp5Mxr7wRIsXLC29r+yw7D2WgL8kbaRWsLg6XxEsVOjuz+OJuggWelT3+oT+CDudir3HEi1+0WffNQ37rmlYsDCNQqzk5ORgzJgxoJL2np6emDx5MoqKbr5gXrx4USywN/pauXLl1eNu9Ptly5bBEmnm4SQEy5aDcThyJk0XwULxGXMn9MeOsIs4HJlq8YKldTNXUTF284E4sROlh2Bxd3EQgmXb3/E4EpWqi2BxtL8iJHcfvYRDkSkWv+iz75qGfdc0LFgYixcrJFSioqKwc+dObNq0Cfv378eUKVNueryfnx9SU1Nrfb3//vtwdXXF4MGDax37yy+/1DruqaeegqXi4+UsMkNW7z6HU7GZuggW2j14fXx/rN93XjwWsnTB0sbHDdNG+GPl7hicupCpi2Chxx2vjuuHNXvO4+T5TF0ECwlJui4b91/AiXMZFr/os++ahn3XNCxYGIsVK9HR0di2bRt++uknhISE4K677sK8efPEDkhKyo0/VdrY2KBVq1a1vtauXYsRI0YIwVIT2qmpeZyjo/JeLA1Bq2YumDEyAEu2nkFCeqFqwUJVYGWyO14d2w/LdkTjXEKuasFSUEwdetUJFpmUXb+W7nhhWF+R0ixbHKqmYCmvuCy1e/DKmCAs3RaNuOR81YKFei/JVI6l67JyZwzOXKRuzeoW/dzCMtWCpUqi9gv7rmnYd/XzXS4c1zQxWyPDQ4cOCUERHBx89WcDBw6EtbU1wsLCMGTIEJOvER4ejoiICHz77bfX/W7atGl49tln0alTJzz//POYNGmScOobYTAYxFc1BQUF4js1IaQvtVAH5MOnU0UPGqX079la7Ha0aOaCv08lKz7PxdkOzTwccTGlQGTQZOQUKz73bv+2+H1rFGxtbKTGJDq09kBYVJroKmwlypwpo0s7L5xPykNRqQFhkSlwtLNRfG5Qt5Yi4LaDr4fUfJt7OcLVyQ4ZOSU4cTYD8a72is/9p7+vSKMmISEzJqUnt/ZxQVR8NhwdbVFaprwn0D0BbfHL+kjRdVn2unRt54VdRy6hZ+fmUue2bemGs5dykF9UjmNRaXByUH5d2HdNw75rft+l9hn2Nlaa1m4t5zINg5VRpviDBP/+97+xePFixMTE1Pp5ixYtxKOdF154weRrvPjii9i3bx/OnDlT6+cffvghHnjgATg7O2PHjh1499138dlnn2HmzJk3fJ333ntPjHktNDc3N+WdQq/lvvf2oai0UrQ4p5uWUkoNlSipuAxXBxvRJl2G/JIKXDYa4epoCzuJMUlYFZVVwtnBFk72cmMWlFSgksZ0sIW9rdxmXHZRGaytrOHmaCtlo6KyCpRXGuHiaAsHyTHzi8tBS5HsmFQJuKi8Ci72tnCUtFF+aYXYRXKRtBFVt6Vr6mRvC2cJ4UAUlFaI86n7t+x1oUrLsLaSthH7rmnYd83ru1VCaFjhyMcDoJbCwkJ07doV+fn5IqaSuQV3VubOnYtPP/3U5CMgrZSWlmLp0qV4++23r/tdzZ8FBASguLgYn3/++U3FyhtvvIFZs2bV2lmh+BgSTloc1cPVER3bOOJcYr4opkUdd5VAxdBW7opBXpEBU54OQLuWygXTLxsjxZuc6nZQ4K7SMekxxUcLD4v/f3ZoX3RorfzvpjTohPQCxCfniy7TMq3gP/z5ENxdHZCbX4qZocptFHEuA3uOJYodpKlPB8BPwkbzVhwXwaxUAO6V0cptlJ5TjO9Xn0SZoQrPDeuL9q2U24iuZ06hAQmp+Zg1ph+8PZQ/lnz1630iW+jZIX3ETpZSDkQkixgo+junDg+An8R1+feiMLFTl5xexL57E9h3LdN3ic8XHYaPj4/YqVeDk5OTqvOYhkP6Ss+ePVuIkbq+6NEMxZFkZNQOIKysrBQZQvQ7U6xatQolJSUYP368yWMpJiYpKanWo56aODg4CFFS84sgR9fyZQUrjBzUHbe388S85cdRWFwu1c110uO98N3KE9IxLPcHtxPdk7/6IxwFEmPSlv/zQ/uIfjUX0648ClNKr84+eOo+dd2an3myN9r4uIqYGxkb+fq4YuwjPUQH40RJGz12T2f0uc0H3yw7LmUjd2d7TBnSG9+vOolLkjaixyT3BflJXxd7WxsRq0P9nS6mysXNdG7rKeIAvpW8LkToQ+y7dcG+a7m+Wx/rN9O4kL5ipGa7detW55e9vT3uvPNO5OXlibiTavbs2SOeFZK4MMXPP/+MJ554QoxnCopr8fLyEqJEd6yAMYN7oH0rN3y97LjoBaOUru29VQuWx+/uDP/bW4gbY7HEmO1be1wRLKvlBcsdvVqrEiwUdDv5qT7w8XQSok7GRr06NVctWIYP6Iqu7b3wtaSNOrXxVC1YHgzpgJDerfGfpcekxqwO0FSz6KvNtGDfNQ37roX6LtPkMJu87N69Ox5++GE899xzOHLkCA4ePIjp06cjNDQUvr6+4pjk5GQhbuj3NYmNjRVpzhRAey0bN24UGUaRkZHiuO+//17Ex8yYMQMNBX0Cm/BYL7Rq5izedOUVVboIlqH334ZuHbzE7gHFpFi6YJkyrK/IUPpWZOxU6SJYRg3qjg6+7pi3/ISUjbQIlkf/2Ql9b/MR4lVmzIZY9Nl3TcO+axoWLIy5Mete2JIlS4QYGTBgAB555BGRvvzjjz9e/X1FRYUIcqXHPTVZuHAh2rZti4ceeui617SzsxPZQbRz4+/vj/nz5+PLL78UQbYNCS36k5/sDXcXe3y3KkLEleghWEYM7CbiOWgrtUJizIYSLC8M9xcBsxQbImMjLYJl3CM90cLLSdhXxkZaBAvZp0tbD2EjmTEbSrCw79YN+65pWLAwjVaseHt7iyBZirymqGsSITXrpXTo0EF0or3vvvtqnUc7JQkJCTd8rki7NSdOnBCvSdVw6RHQ1KlTLeIZJC36U4f2ha21FRasOyVVY0SLYBk7uAc83Rzw45pTIg3W0gXL9NBAUefj5/WnpWykRbA880RvUZBtwVo5G2kRLCQkW3g7ixghmTEbSrCw79YN+65pWLAw5qLh7/C3GLTovzjcH2WGSvy65YwQY3oIFjqP6r0s3hQlUpstXbC8NCoQ+UUG/LZVzkZaBMuUIX1E2uOvm+VspEWwjH24u0iDXrQpUmrMhhIs7Lt1w75rGhYsjDlgsWIOo1pb46XQQGTmFmPF7nNS56oVLFc+GfdBUWk5lu+MkSjf1jCCxcbaGrPHBiM5oxCrJG2kVrCQjaYPD0BeYRlW7JKzkVrBIh6xPNEbhvIqLN95VmrMhlj02XdNw75rGhYsTH3DYsVM0KI/a3Qw4pLysPHABd0EC92MUzKLsGF/bKMQLHPG90fMpRxskrSRFsHyUmgQElILsPGvC7oJlueH9kV6dgk2/BnbKAQL+27dsO+ahgULU5+wWDEjNjbWeHVsMCLOZohOu3oIFmtruhkHIjo+W5S0tnTBQtVT50zoj2Nn0rH7WIIugoVsRAX1TsdmSttIrWChMaePCMC5hBzsDLtk8Ys++65p2HdNw4KFqS9YrJgZO1sbvDa+H/46kYy/T924gWN9CxZaRKlya1hkKg6eTLZ4wUKFpeZO7I8/jyXi79MpuggWshE1Ezx0KgUHTyXrIlhoTKrieyw6DQckr0tDLPrsu6Zh3zUNCxamPmCxogNU+v21ccHY9nc8wmPSdREs1HNo1ugg7D5yCeFn0y1esJCNXp/QD1sOxOFETO3Kx+YSLGQj2vnaeVjeRmoFC435cmgg9h1LQPjZNIsXLOy7ymzEvls3LFgYrbBY0QkXJ3sRULp2z3nEpeSrFizUSE4plKr7yuggbNx/AdGXslULFuphpFawyKTsko1eHdcPq3bHSGf61BQs5RWXpWw0e0yQiCU5n5grNWZNwVJYWi41Jj2q2/xXHCLjslQLlqz82vWJZARLZaVyG7HvKrMR+64+vpvIlW6bJGbrumzJUCNDDw8PzR03uz2/HA72NrC3s6XK5YowVFYiObMYdA/v7Ouh+Dwiu7AUhaWVokupr7eL4vPKK6uQmlMMQ/lldGnjIdIvlVJQUo7M/DIxpp/P/6+Ro4SU7GKUllfCzdkeLTyUNw4zVFQiKatYzLNDK3cpG2Xml6K4rBKODjZo5eksZaPkrGJRqI5sRH2flEJiLrfYADtba7Rp5qr4TBozLbcUZeWV6OIrd12olH9qTokYs71kE7i03BIhep2d7MR1Yd+9HvZdy/VdKgHg4mCD6O9GqK6vVV/3AMaCuy4ztZveJWQWws3JHi5OdopMQzdBOi+7sAzJWUWiX47StzmNQ4tDUUk5sm2thQhQiqeLPdIMpUjKLEJLLyeRoaIEqhHiZG+FotIKpOeWwMtNef+l5h6OSMgoFKnC9jZWYkdBCTQ3V0db5BWXIzW7CM0lhI6HC9moAgVFBjGmq5OcjTLyr9iohadyGzk72qLEUC5sRJ8YPVyU28jb1R7JWRVIzCxESy9nxYs+LfTO9tYoFAt/MZop7CwtxnRzQIqhAvl0Xayt2HdvAPuu5fouteooLFG+k8ncGrBY0QDdzEIHdRd1QiYP6YO2Cj8lXEjKw+YDccjILcEjd3VGz07NFI/5y8ZItGvtjp2HL2LyoO5o11LZmMWlFfhkcZhYUB6+u7N4bKJUJG39Ox7lVVU4dDIFj97TBd07eCue70cLD+Mu/zYiXueZp5TbKOJchogjiUvKxyN3d0aPjsptNG/FcfS5vQW2HojD5Ke6i3YESkjPKcbCDZEoKavE4Lvpuii30cpdMXBxtsf+40kY/lA3tG+l/NPanG/+FEJusOR1ORCRLARvREwGHrmnM3p0UG6jfy8Kw72Bfti4P5Z99yaw71qm7xKfLzosdTzT+OGYFY30vd1HVeCik6OtiCf5Y3s0jksG3dKNUE3QLX2ieWlUEFbtOofjkgGlzT2c8cqoICzeFImT5zOl5tuvp7qgW4oDeGVMEJZsjZYOur29nZfqoFu6Lit2xojrImOj1s1dNWQJBWLN7nPSgb6erg5ivr9tPiMEngy9ujRn3zUB+65l+i7T9GCxUg+ozbRo5uGE18b1w7q9sTioU1qzt7ujCCjd9NcF6bTmls1c8NrYfli2PRqHI1N1yRKiR0CU+r16zznd0prJRpQltPHPC7qlNdOYtHBvPRgnndbcwstZ+BFV5T0UKWcj9l3TsO9apu8yTQsWK/WE2kXfw9VBpD3SY51dOhWOc3dxEAvEvvBE6aJozTydMHdiiKiQS+frsejTJ7A3JvYXj5L0KhxHNpozvh/2HEnQrXAcjTl7TDD+OpEkXTiObhhvTAgRGUZ7j8ldF/Zd07DvWqbvMk0HFiv1iNpFnx53UFE0ignRqzQ/PWcmwRIenSZdmp8E1psTQ8RNnOJZ9Fj0yUZvTgoRi6FepfnJRq9P6I8jUam6lea/kkodjJPn0qVL87u5XLHR3mMJ2HwwTuJM9l0lsO9apu8yTQMWK/WMluJbJFgiY7OwfNdZXbo1XymK1g+xiXlYtuOsVFdgV+criwtVgF2z55zUfLUUjqMxI2IyRUCrHt2ayUavj++Ps/HZohGhHt2ar8TNBCM+JR/LdkRLjUk3jDefCcHRqDQR+C1jI/Zd07DvWqbvMrc+LFbMgJby5nPG9RNN9hZvjsJliYJqmkrzjwpCZm4JFm2MkiriJhaXSSGix86SbdFS89Vamj82KQ+/bjkjNabW0vypmUVYvEnORppK848MRG6BQWSAyYxZLeqoP9TvW+VsxL5rGvZdy/Rd5taGxYqZ0NJAjrZS6Y0+f+1JUaRMj+aHM0YEoKKiCj+sPokKiTEdHWhHKATxyflYuOG01Hw1NT8c3w8ZOSVYsO6U1Jhamh++PCoIxaXlmL9GzkZamh9SxU8Yjfh+dYTUmPZ2V0RdYlohflovZyP2XdOw71qm7zK3LixWzIjaRZ+qMr4UGoCqysuYt5zKx1eZXbBQzZgpQ/vA2cEG3yw7DoPEmA72tkI8pOeUCLEjM1+1i76NtTVmjQlCSWkFvl0hZyO1goVsNG14AGysrTBP0kZqBQuN+cwTvUWc0Nd/hEuNWd2IMLegDN+tjJCyEfuuadh3LdN3mVsTFitmRsuiP21EAJwcbPDVH+EoKavQRbBMeqK3qHD75ZJjoiy2jGChgN2iYoMQDzLz1bLovzQ6SMz762XHpcbUIlimDu0LTzcH/GdpuJSNtAiWcYN7iOJ2/yt5XWjRnz22n7hRzFsuZyP2XdOw71qm7zK3HixWdEDtol99Y6TUvi+XhKOwuNzsgoUY+0hPdG7rgf/9/RgKJMak7dtZY/uh4r87QjLzVbvoU0Xe6SMD4OJoh6+WytlIrWAh6BNjGx8XfClpI7WChRj5YDf06OCNL347KjWmiEsaHSRsRbtmMjZi3zUN+65l+i5za8FiRSdqLvpUZl9GsEx+sjfatnDBl0uPCSGgRrBQvxsZRgzsht6dm+OL349KdXomwfLy6CDYWEF8GjKqDLrNzi9VfB4tZM8/3RfeHk5iF6qySl3QbWpWMWQY90hPdPHzFLtQZTo8EiLIPsE9WolFX+ZTKi36M0ID4WRvK3ah1Abdsu/eGPZd/Xw3p6BM8bnMrQP3BtJA1eXLuJhSAFuFnT89XR3xz75tRNottUunoFSl3BPohzV7ziMuOQ/dOnrDRmHTMMqeeeiODliw7iQcbG2lxvS/vQUy80pw6FQy/unfVurcx+/tgt82R8FQQTbKh7O9Mlejhmj9erTCpr/i0L1jM6kxH7yjPZbvOIv07GIkpReirFSZyHJxsMMDwe3w25YoeLk7SY15Ry9fZOWVipTzFt7OiE+2V9zQ8tF/dhQiyXgZUmNSH5Ws3BJsOxSP/j1bS5376N2d8PvWaHGzoKwzV4XNJdl3TcO+q4/v/t/y47CSquLC3ApYGZtgMnt9tQfv8eIKlJZXgj6kUtClUminoqLKCGcHW9jSFoQEtA1qbWMtuiHLjEkBajRXZwc70SNIhoJiA2xsbOBgbwNbiTGJ/OJy8clIdr5FZZUik4BSGWVtRNvMNirGpN0RstOV6yJpo5JyEUMjayPaKSsx0HWxlb4u1b6g5rpUz1fWRuy7pmHfNa/vlldcFmLl0sLRIravIe8BjH7wzooG3Jzs4e5qj5wCA6aPDBSxJUq7LlMNAVr4pwz1V9yJmKC6BfRJnlqkUyqt0jGp6/L7P/0tPo88O6Sv4m7NBFWpPROXhez8Mkwd5o82Pq6Kz/3gp0MAjLCGFV4cEaB4vtTYbMvBeCGUZG1EXZdLyypFQN7MUOU2oq7LFGtDqZLPDemruFszQbtlF1MLxHxfHh2seExi1n/2wggrTH6qj1S3Zupc+/fpZOTmGzB1uNx1oa7LdI8oL69i370J7LuW6bsEd11uenDMikboxk83Jkqvkwn+8vVxVRV0Szx1/2243c9TxITIjOnqZKc66PaOPm1wf5CfyPRJloh/ETVcQoPg7GiL+avkbNSprSeGqAi6JcY+2lMIHJqvzJh0LdUG3Q4M6YC+t7UQgYAyQYS0e6Q2hoXGG/zPDvi/5XLXhSARyL57c9h3Ldd3maYHixWN2NhQcKc/3J3txA1Oj9RQ2jQdM7gH2rdyk07Z1ZIl9OAdHVQJFgq6pZ0neszx3aoIqfmG9GqNIffLCxYK6Xnmyd7w8XKWTnvUkiX09IDb0a29t6groUdaM3FPgJ+qRZ991zTsu5bpu0zTg8VKPUDxDfSIg56/fr9Kn+JblCU04bFeaNXMWZyrR+E4rYJl5qggIbTmSxaOC+mpTrBY/7fQnaebI76VLCylRbCEDuqGjr4e4pGSHoXjtCz67LumYd81DQsWxtywWKknRHrdyEARE0Ll2PUob16d1uzuYi92LPQoza9VsFBas6G8Ej+ulSujrUWwUFozNVj7frXcddEiWOg8yg4h++pRml+rYGHfrRv2XdOwYGHMCYuVeoQWfQp6pUcO1CdHjwZy1YXjKKKe+uTo0fxQq2ChwnH5RQYs2hgpNV8tgoUKx12uuoyf18tdFy2CZdITvUSzxwVrT+nS/FCrYGHfrRv2XdOwYGHMBYuVeoYW/VljgkXGzpJtZ6TanGsRLC8O90eZoVJ0IpYZs6EEy6tjg0URtqXbo6Xmq0WwzBwViIIiA37bKmcjLYJlypA+Qhz9Sl20jZYvWNh364Z91zQsWBhzwGLFDIgmXOP64VJqAVbvOS91rrYGcoHIzC3Git3npMZsCMFS3fzwQmIu1u6Vs5FawSKaH44NRkpmEVZJ2khb80N/5BUasGJXjFQpq4ZY9Nl3TcO+axoWLEx9w2LFTNCiP2d8f0TFZWHzwTjdBMus0cGIS8rDxgMXGoVgeX1CCCLOZYpaLnoJFhKSMZdysUnSRloECwnJhNRCbPzrQqMQLOy7dcO+axoWLEyjECv/+te/8I9//APOzs7w9PRUdA5tzb/zzjto3bo1nJycMHDgQJw/X/tTd05ODsaMGSOqDtLrTp48GUVFlpnyRlvGr0/oj7DTqdh7LFEXwUKVW+kRS8TZDOw+esniBYujgy3mTuyPgyeTsS88URfBQo875kzoh2PR6dh9LEEXwUI1O2aNCRJl+XcduWTxgoV91zTsu6ZhwcJYvFgpLy/H8OHD8cILLyg+57PPPsM333yDH374AWFhYXBxccGgQYNQVvb/G1eRUImKisLOnTuxadMm7N+/H1OmTIGlQkWT6GZMwuFQZIougkVs5Y/vh79OJOPvUykWL1goCHXuhP7YEXYRhyNTdREs1DOJxvwzPBF/n07RRbCQSJo9NhiHT6Xg4Klkixcs7LumYd81DQsWxqLFyvvvv49XXnkFvXv3Vryr8tVXX+Gtt97Ck08+iT59+uDXX39FSkoK1q1bJ46Jjo7Gtm3b8NNPPyEkJAR33XUX5s2bh2XLlonjLBVa0F4f3x8b91/AiXMZuggWutG8Ni4Y2/6OR3hMutSNsSEEi6uzvbDR+n3nxWMhPQQL2ej18f2w5UAcTsRk6CJYKIWaBMvOw5cQfjbd4hd99l3TsO+ahgULc8vErMTHxyMtLU08+qmGGk2RKDl0iPrLQHynRz/BwcFXj6HjKVaDdmIsGTcXe7w6th9W7oxBfKryTqPXCpaycmWdhAkXJ3txY1y75zxiLuVIjVlTsOQXG1QLFpk0YQ9XB2GjZTuikZRRpFqwUKMzGRu9Oq6fCLiNTcxTLViKSiukBMDsMUHY8GesiGlSK1iyC0pVC5aqSuU2Yt81Dfuufr6bLLk2MLcGFtPIkIQK0bJly1o/p39X/46+t2jRotbvbW1t4e3tffWYG2EwGMRXzY6bxOXLl8WXWqgx74pt0aIjsSjNqoAubT3EDgt9ql+2PVpqPE8XB9EEsaj0PPwkGn91aeOBpdvOoLLKiGXbohXPlWjl7YKw0ym4kJiHREmRRd18cwrKsHD9afh4KG/s19nXAzsOXxQ3SVBBNYn5Uv+j1KwiLNt+Fq29nRWfR9eFBAvFlshel+Yejoi8kCUaIcbEZSmebydfdyzeGCWq3MqO2dbHBbuPJojePrn5cgu/vZ01cgvLsHhjJFp4OLHv3gD2Xcv13f9beQLO9taa1m4t5zKNQKzMnTsXn376aZ3H0KOabt26wZL4+OOPxWOpa8nIyEBpqdybpSbzJvVBfrHyT9TVJGT64pd9FzHrwfbS50Yl5WNtWLL0ucnZvvhpTzxmPSQ/5rmUQiw/lKhivu1xNrkAq1TM92KGL37df0nFfNsjOikfq4+kSI+ZlNUaP6u8LtFJ9HcmSc+XrsuCPXGqxoxNK8LSAwmqrgvNd/WRZOn5su+ahn3XvL6bnl+GZX8nITNT7nFxTQoL5R5vMw2PlVGiOhY5R3Z2dp3HdOrUCfb29lf/vWjRIrz88svIy6t7iz0uLg6dO3fGiRMn4O/vf/Xn9957r/j3119/jYULF2L27NnIzc29+vvKyko4Ojpi5cqVGDJkiOKdFT8/P/E6lFWkRZ2TTXx8fMSjKEumMc2V4PmyfdkX+L1mrrWB7gFeXl7Iz8/XdA9gLHRnhZyDvsxBx44d0apVK+zevfuqWCGHoliU6oyiO++8U4ie8PBwBAUFiZ/t2bNHOC/FttwMBwcH8XUt5Oj1ceOur9fRg8Y0V4Lny/ZlX+D3Wn2vDY1pDWSuYLYrlpCQgIiICPG9qqpK/D991ayJQo+L1q5de7VwFu3AfPTRR9iwYQNOnz6N8ePHw9fXF0899ZQ4pnv37nj44Yfx3HPP4ciRIzh48CCmT5+O0NBQcRzDMAzDMLceZguwpeJuixcvvvrvgIAA8X3v3r247777xP/HxMSIbbhq5syZg+LiYlE3hXZQKDWZUpXpMU81S5YsEQJlwIABQh0PGzZM1GZhGIZhGObWxGxihWJV6Ksurg2Xod2VDz74QHzdDMr8Wbp0ab3Nk2EYhmEYy4Yf3DEMwzAMY9GwWGEYhmEYxqJhscIwDMMwjEXDYoVhGIZhGIuGxQrDMAzDMBYNixWGYRiGYSwaFisMwzAMw1g0LFYYhmEYhrFoWKwwDMMwDGPRsFhhGIZhGKZpltu3ZKrL/FNXZy1Qt+fCwkI4OTlZfBfPxjRXgufL9mVf4PeaudaG6rX/2pYvjOXSJMUKOTrh5+fX0FNhGIZhGvBe4OHhwfZvBFgZm6C0JGWekpICNzc30TxRLaTOSfAkJibC3d0dlkxjmivB82X7si/we81cawPd9kio+Pr6NoqdZqaJ7qyQc7Zt27beXo/eMI1BADS2uRI8X7Yv+wK/18yxNvCOSuOCJSXDMAzDMBYNixWGYRiGYSwaFisacHBwwLvvviu+WzqNaa4Ez5fty77A77VbYW1g6ocmGWDLMAzDMEzjgXdWGIZhGIaxaFisMAzDMAxj0bBYYRiGYRjGomGxwjAMwzCMRcNipQ7+9a9/4R//+AecnZ3h6empyKAUr/zOO++gdevWonfFwIEDcf78+VrH5OTkYMyYMaKgEb3u5MmTUVRUpO1Kqnjdixcvigq+N/pauXLl1eNu9Ptly5bpOlfivvvuu24ezz//fK1jEhIS8Oijj4pr1qJFC7z22muorKzUNFc186XjZ8yYga5duwo/aNeuHWbOnIn8/Pxax9WXbb/99lt06NABjo6OCAkJwZEjR+o8nq5vt27dxPG9e/fGli1bpP1YCzLzXbBgAe6++254eXmJL5rLtcdPnDjxOjs+/PDDDTLfRYsWXTcXOk8v+8rM9UbvKfqi95Aett2/fz8ef/xxUUmWXnfdunUmz9m3bx8CAwNFNlCXLl2EvbW+H5hGAGUDMTfmnXfeMX755ZfGWbNmGT08PBSZ6ZNPPhHHrlu3znjy5EnjE088YezYsaOxtLT06jEPP/ywsW/fvsbDhw8b//rrL2OXLl2Mo0aN0nwZZF+3srLSmJqaWuvr/fffN7q6uhoLCwuvHkdu8ssvv9Q6rubfo8dciXvvvdf43HPP1ZpHfn5+rb+nV69exoEDBxpPnDhh3LJli7F58+bGN954Q9Nc1cz39OnTxqFDhxo3bNhgjI2NNe7evdt42223GYcNG1bruPqw7bJly4z29vbGhQsXGqOiooSNPD09jenp6Tc8/uDBg0YbGxvjZ599Zjxz5ozxrbfeMtrZ2Yk5y/ixWmTnO3r0aOO3334rrml0dLRx4sSJYm5JSUlXj5kwYYK4RjXtmJOTo3muauZL19Pd3b3WXNLS0modYy77ys41Ozu71jwjIyOFb9DfoIdt6T36P//zP8Y1a9aI98LatWvrPD4uLs7o7Ows1mTy3Xnz5on5btu2TbUNmMYBixUF0BtXiVi5fPmysVWrVsbPP//86s/y8vKMDg4Oxj/++EP8m95g9KY8evTo1WO2bt1qtLKyMiYnJ6u7ivX4uv7+/sZnnnmm1s+ULCJ6zJXEyksvvVTnwmdtbV3rxvD999+LG4fBYNB9vteyYsUKsYhWVFTUq2379+9vnDZt2tV/V1VVGX19fY0ff/zxDY8fMWKE8dFHH631s5CQEOPUqVMV+7Ge870WEqVubm7GxYsX17qhPvnkk5rnVh/zNbVemNO+Wm37n//8R9i2qKhIF9vWRMl7Yc6cOcaePXvW+tnIkSONgwYNqjcbMJYJPwaqR+Lj45GWlia2dGv2n6BtyEOHDol/03d6jBAcHHz1GDqe+hWFhYWpHrs+Xjc8PBwRERHiEce1TJs2Dc2bN0f//v2xcOFCTa3Vtcx1yZIlYh69evXCG2+8gZKSklqvS480WrZsefVngwYNEo3PoqKiGmS+NaFHQPQYydbWtt5sW15eLq5bTZ+jedG/q33uRn9PzeOr7VR9vBI/Voua+V4LXfOKigp4e3tf93iAHv3Ro7cXXngB2dnZmuaqZb70iLB9+/ai4d6TTz5Zy//MZd/6sO3PP/+M0NBQuLi4mN22ajDlu/VhA8YyaZKNDM0FLUBEzZtl9b+rf0ff6U1fE7p50cJbfYzasbW+Li1U3bt3F3E6Nfnggw/wwAMPiDiQHTt24MUXXxSLMcVg6DnX0aNHixsAPd8+deoUXn/9dcTExGDNmjVXX/dGtq/+XUPaNisrCx9++CGmTJlSr7al162qqrrh33327Nmb/j2mfLT6Zzc7Ri1q5nstdN3JB2rekCiGYujQoejYsSMuXLiAN998E4MHDxY3KBsbG13nSzd0Ep19+vQRAvWLL74Q7ykSLNRA1Vz21WpbiuuIjIwU60BNzGVbNdzMd+kDSWlpKXJzczX7F2OZNDmxMnfuXHz66ad1HhMdHS2CDxvTfLVCb/SlS5fi7bffvu53NX8WEBCA4uJifP7559fdUM0915o3etpBoeDEAQMGiAW0c+fOFmtbWkgpYLFHjx547733VNmWucInn3wiApDpk37NoFXaDajpGyQUyCfoOPIRPbnzzjvFVzUkVOhDwPz584VgtVRIpJDtaIevJpZkW6bp0uTEyuzZs0V0e1106tRJ1Wu3atVKfE9PTxc30mro3/7+/lePycjIqHUeZatQ9kj1+WrmK/u617Jq1SqxvT5+/HiTx9J2NS26BoOhVn8OveZacx5EbGysWDzp3Guj/sn2REPZtrCwUHwydXNzw9q1a2FnZ6fKtjeDHh/Rp9vqv7Ma+vfN5kY/r+t4JX6sFjXzrYZ2KEis7Nq1S9wwTV03Got8Q8sNVct8q6FrTkKU5mJO+2qZK4lkEoG002eK+rKtGm7mu/R4lbKq6O/Xer0YC6Whg2ZuxQDbL7744urPKFvlRgG2x44du3rM9u3b6y3AVu3rUvDqtZkqN+Ojjz4yenl5Ndhcqzlw4IB4HcqmqBlgWzPqf/78+SLAtqysTPf50rW/4447hG2Li4vNZlsKKJw+fXqtgMI2bdrUGWD72GOP1frZnXfeeV2AbV1+rAXZ+RKffvqpuI6HDh1SNEZiYqK4PuvXr2+Q+V4bENy1a1fjK6+8Ynb7qp0rrXE0flZWlq62VRNgSxl/NaGsvGsDbLVcL8YyYbFSB5cuXRLpktXpvPT/9FUzrZcWIUq7q5mSSGly9EY+deqUiKK/UepyQECAMSwsTNxwKaW1vlKX63pdSvWk+dLva3L+/Hmx+FCGy7VQ6u2CBQtEWisd991334nUQUrr1nOulP77wQcfCMEQHx8v7NupUyfjPffcc13q8kMPPWSMiIgQ6Yw+Pj71lrosM1+6+VCGTe/evcXca6Z90jzr07aUqkk3mkWLFglhNWXKFOGD1VlR48aNM86dO7dW6rKtra24WVIq8LvvvnvD1GVTfqwW2fnSXCiLatWqVbXsWP0+pO+vvvqqEDLkG7t27TIGBgaKa6RFpKqdL60XJGYvXLhgDA8PN4aGhhodHR1FGq257Ss712ruuusukVVzLea2Lb1+9bpKYoVKRdD/09pL0FxpztemLr/22mvCdyml/Uapy3XZgGmcsFipA0rZozfQtV979+69rk5GNfSp6e233za2bNlSvGEGDBhgjImJua62Ad3oSADRp8VJkybVEkBqMfW6tNhcO3+CbuZ+fn7iE8i1kIChdGZ6TRcXF1Fr5Icffrjhseaca0JCghAm3t7ewq5U54QWrJp1VoiLFy8aBw8ebHRychI1VmbPnl0rVViv+dL3G/kOfdGx9W1bqjfRrl07cVOnT5ZUD6Ya2tkhX742jfr2228Xx1Mq6ObNm2v9Xokfa0Fmvu3bt7+hHUlkESUlJUKgkjAl0UXHU22N+rw5ycz35Zdfvnos2e+RRx4xHj9+XDf7yvrC2bNnhT137Nhx3WuZ27Y3e59Uz5G+05yvPYfeN/T30QeWmuuvEhswjRMr+k9DP4piGIZhGIa5GVxnhWEYhmEYi4bFCsMwDMMwFg2LFYZhGIZhLBoWKwzDMAzDWDQsVhiGYRiGsWhYrDAMwzAMY9GwWGEYhmEYxqJhscIwDMMwjEXDYoVhGIZhGIuGxQrDMAzDMBYNixWGYRiGYSwaFisMwzAMw8CS+X8w5BhCzNZRgAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V_grid, T = igl.triangulated_grid(NX, NY) # unit square, NX x NY vertices\n", "X = (V_grid - 0.5) * np.array([WIDTH, HEIGHT]) # centered WIDTH x HEIGHT cloth\n", "n, dim = X.shape\n", "E = simkit.edges(T) # springs = unique triangle edges\n", "top = X[:, 1] >= X[:, 1].max() - 1e-6\n", "side = (X[:, 0] <= X[:, 0].min() + 1e-6) | (X[:, 0] >= X[:, 0].max() - 1e-6)\n", "pin_idx = np.where(top & side)[0] # the two top corners\n", "x_rest = X.reshape(-1, 1)\n", "\n", "fig, ax = plt.subplots(figsize=(6.4, 5))\n", "utils.plot_mesh(ax, X, T, pins=pin_idx, lw=0.6,\n", " title=f\"rest cloth: {n} particles, {len(E)} springs\")\n", "ax.legend(loc=\"center left\", bbox_to_anchor=(1.01, 0.5), fontsize=9) # keep the corner pins visible\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"mesh.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_mesh.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "92457242", "metadata": {}, "source": [ "## Rest lengths and stiffnesses\n", "\n", "Each spring stores its rest length $r_s$ and stiffness $k_s = \\text{YM}/r_s^2$, which makes the energy\n", "$\\tfrac{\\text{YM}}{2}\\big((\\lVert x_i-x_j\\rVert - r_s)/r_s\\big)^2$ a strain measure. The two fields below\n", "have only two values: the shear diagonals are $\\sqrt2$ longer than the structural springs, so they are\n", "half as stiff." ] }, { "cell_type": "code", "execution_count": 3, "id": "4a5d5835", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.600139Z", "iopub.status.busy": "2026-09-24T03:44:57.600050Z", "iopub.status.idle": "2026-09-24T03:44:57.801285Z", "shell.execute_reply": "2026-09-24T03:44:57.800942Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "structural: r = 0.0833, k = 11520 shear: r = 0.1179, k = 5760\n" ] } ], "source": [ "l0 = simkit.edge_lengths(X, E).reshape(-1, 1) # rest length r_s\n", "k = YM / l0 ** 2 # per-spring stiffness k_s\n", "ones = np.ones_like(l0) # unit quadrature weight per spring\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4.6))\n", "utils.plot_spring_network(axes[0], X, E, edge_values=l0, node_size=0, lw=1.0, cmap=\"cividis\",\n", " title=\"rest length $r_s$\", label=\"length\")\n", "utils.plot_spring_network(axes[1], X, E, edge_values=k, node_size=0, lw=1.0, cmap=\"viridis\",\n", " title=\"stiffness $k_s = $YM$/r_s^2$\", label=\"stiffness\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"springs.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_springs.png\"))\n", "plt.show()\n", "print(f\"structural: r = {l0.min():.4f}, k = {k.max():.0f} shear: r = {l0.max():.4f}, k = {k.min():.0f}\")" ] }, { "cell_type": "markdown", "id": "7a2eebdc", "metadata": {}, "source": [ "## Constant operators\n", "\n", "Built once from rest data: the diagonal mass matrix $M$, the gravity force $f_g = M g$, the\n", "edge-difference operator $G$ (so $Gx$ stacks the spring vectors $x_i-x_j$, from\n", "`simkit.edge_displacement_jacobian`), the spring weights $W = \\mathrm{diag}(k_s)\\otimes I$, and the\n", "soft-pin penalty $(Q_\\text{pin}, b_\\text{pin})$ from `simkit.dirichlet_penalty`. The pins are a stiff\n", "quadratic, so they too have a constant Hessian." ] }, { "cell_type": "code", "execution_count": 4, "id": "f10370a7", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.802709Z", "iopub.status.busy": "2026-09-24T03:44:57.802605Z", "iopub.status.idle": "2026-09-24T03:44:57.805966Z", "shell.execute_reply": "2026-09-24T03:44:57.805622Z" } }, "outputs": [], "source": [ "M = MASS * sp.sparse.identity(n * dim, format=\"csc\") # particle masses\n", "f_g = M @ np.tile([0.0, GRAVITY], n).reshape(-1, 1) # gravity force\n", "G = sp.sparse.kron(simkit.edge_displacement_jacobian(X, E), sp.sparse.eye(dim)).tocsc()\n", "W = sp.sparse.kron(sp.sparse.diags(k.ravel()), sp.sparse.eye(dim)).tocsc()\n", "Q_pin, b_pin = simkit.dirichlet_penalty(pin_idx, X[pin_idx], n, K_PIN)" ] }, { "cell_type": "markdown", "id": "a3f3ea24", "metadata": {}, "source": [ "## The implicit-step objective\n", "\n", "`cloth_step_system(x_tilde)` returns the energy, gradient and Hessian of one backward-Euler step, one\n", "term per line: inertia towards the momentum target $\\tilde x$, gravity, the springs (`simkit`'s\n", "`mass_springs_*_z` with the prebuilt $G$) and the pins. Only the spring Hessian depends on $x$; that is\n", "the block Newton has to re-assemble and re-factorize." ] }, { "cell_type": "code", "execution_count": 5, "id": "ccaa82f2", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.807059Z", "iopub.status.busy": "2026-09-24T03:44:57.806992Z", "iopub.status.idle": "2026-09-24T03:44:57.809260Z", "shell.execute_reply": "2026-09-24T03:44:57.808980Z" } }, "outputs": [], "source": [ "def cloth_step_system(x_tilde):\n", " \"\"\"Backward-Euler step objective of the cloth: inertia + gravity + springs + soft pins.\"\"\"\n", "\n", " def energy_func(x):\n", " E_inertia = simkit.energies.kinetic_energy(x - x_tilde, M, DT, 1.0)\n", " E_gravity = -(f_g.T @ x).item()\n", " E_spring = simkit.energies.mass_springs_energy_z(x, G, k, ones, l0)\n", " E_pin = simkit.energies.quadratic_energy(x, Q_pin, b_pin)\n", " E_total = E_inertia + E_gravity + E_spring + E_pin\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_inertia = simkit.energies.kinetic_gradient(x - x_tilde, M, DT, 1.0)\n", " g_gravity = -f_g\n", " g_spring = simkit.energies.mass_springs_gradient_z(x, G, k, ones, l0)\n", " g_pin = simkit.energies.quadratic_gradient(x, Q_pin, b_pin)\n", " g_total = g_inertia + g_gravity + g_spring + g_pin\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_inertia = simkit.energies.kinetic_hessian(M, DT, 1.0)\n", " H_spring = simkit.energies.mass_springs_hessian_z(x, G, k, ones, l0, psd=True) # depends on x\n", " H_pin = simkit.energies.quadratic_hessian(Q_pin)\n", " H_total = H_inertia + H_spring + H_pin\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func" ] }, { "cell_type": "markdown", "id": "78b9ad7d", "metadata": {}, "source": [ "A central-difference check of the gradient at a randomly perturbed pose (`simkit.gradient_cfd`). The\n", "relative error should be tiny." ] }, { "cell_type": "code", "execution_count": 6, "id": "3f488107", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.810111Z", "iopub.status.busy": "2026-09-24T03:44:57.810061Z", "iopub.status.idle": "2026-09-24T03:44:57.951293Z", "shell.execute_reply": "2026-09-24T03:44:57.950961Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gradient check: relative error 2.81e-08\n" ] } ], "source": [ "rng = np.random.default_rng(SEED)\n", "x_check = x_rest + FD_NOISE * rng.standard_normal(x_rest.shape)\n", "energy_func, gradient_func, hessian_func = cloth_step_system(x_rest)\n", "g_exact = gradient_func(x_check).ravel()\n", "g_fd = simkit.gradient_cfd(lambda y: np.array(energy_func(y.reshape(-1, 1))), x_check.ravel(), FD_STEP)\n", "print(f\"gradient check: relative error {np.linalg.norm(g_fd - g_exact) / np.linalg.norm(g_exact):.2e}\")" ] }, { "cell_type": "markdown", "id": "a7e6df93", "metadata": {}, "source": [ "## The split: one constant matrix\n", "\n", "Liu et al. write each spring as a minimum over an auxiliary vector $d_s$ of fixed length $r_s$ (below).\n", "With $d$ fixed, the step objective is quadratic in $x$ with the system matrix\n", "$A = M/h^2 + G^\\top W G + Q_\\text{pin}$. It is built from rest data only, so we factorize it once here.\n", "Its sparsity pattern (plotted) is the mesh connectivity: two DOFs couple when a spring joins them.\n", "\n", "$$\n", "\\tfrac{k_s}{2}\\big(\\lVert x_i-x_j\\rVert - r_s\\big)^2 = \\min_{\\lVert d_s\\rVert = r_s}\\; \\tfrac{k_s}{2}\\,\\lVert (x_i-x_j) - d_s\\rVert^2 .\n", "$$" ] }, { "cell_type": "code", "execution_count": 7, "id": "778d3f0e", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:57.952443Z", "iopub.status.busy": "2026-09-24T03:44:57.952374Z", "iopub.status.idle": "2026-09-24T03:44:58.014127Z", "shell.execute_reply": "2026-09-24T03:44:58.013539Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A: 1250 x 1250, 8354 nonzeros, factorized once in 1.4 ms\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A_inertia = simkit.energies.kinetic_hessian(M, DT, 1.0) # M / h^2\n", "A_spring = G.T @ W @ G # rest data only\n", "A_pin = simkit.energies.quadratic_hessian(Q_pin)\n", "A = (A_inertia + A_spring + A_pin).tocsc()\n", "\n", "t0 = time.perf_counter()\n", "solve_A = sp.sparse.linalg.factorized(A) # the ONLY factorization of the run\n", "t_factor = time.perf_counter() - t0\n", "print(f\"A: {A.shape[0]} x {A.shape[1]}, {A.nnz} nonzeros, factorized once in {1e3 * t_factor:.1f} ms\")\n", "\n", "fig, ax = plt.subplots(figsize=(4.8, 4.8))\n", "ax.spy(A, markersize=0.4, color=utils.MESH_EDGE)\n", "ax.set_title(r\"constant matrix $A = M/h^2 + G^\\top W G + Q_{pin}$\", fontsize=10)\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"global_matrix.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_global_matrix.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "98256be3", "metadata": {}, "source": [ "## Local and global steps\n", "\n", "The **local** step fixes $x$ and sets each $d_s$ to the rest length along the current spring,\n", "$d_s = r_s\\,(x_i-x_j)/\\lVert x_i-x_j\\rVert$. The **global** step fixes $d$ and solves\n", "$A\\,x = M\\tilde x/h^2 + f_g + G^\\top W d - b_\\text{pin}$ by back-substitution through the cached\n", "factorization. `fast_mass_spring_step` alternates them `N_INNER` times with simkit's `block_coord`." ] }, { "cell_type": "code", "execution_count": 8, "id": "6d72a1fc", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:58.015249Z", "iopub.status.busy": "2026-09-24T03:44:58.015154Z", "iopub.status.idle": "2026-09-24T03:44:58.017641Z", "shell.execute_reply": "2026-09-24T03:44:58.017237Z" } }, "outputs": [], "source": [ "def local_step(x):\n", " \"\"\"Project every spring onto its rest length: d_s = r_s (x_i - x_j) / ||x_i - x_j||.\"\"\"\n", " d = (G @ x).reshape(-1, dim)\n", " d = l0 * d / np.linalg.norm(d, axis=1, keepdims=True)\n", " return d.reshape(-1, 1)\n", "\n", "def global_step(x, d, x_tilde):\n", " \"\"\"Solve A x = M x_tilde / h^2 + f_g + G^T W d - b_pin with the prefactored A.\"\"\"\n", " rhs_inertia = M @ x_tilde / DT ** 2\n", " rhs_gravity = f_g\n", " rhs_spring = G.T @ (W @ d)\n", " rhs_pin = -b_pin\n", " rhs_total = rhs_inertia + rhs_gravity + rhs_spring + rhs_pin\n", " return solve_A(rhs_total).reshape(-1, 1)\n", "\n", "def fast_mass_spring_step(x_curr, x_prev):\n", " \"\"\"One backward-Euler step: N_INNER local/global iterations from x_curr.\"\"\"\n", " v_curr = (x_curr - x_prev) / DT\n", " x_tilde = x_curr + DT * v_curr # momentum target\n", " x_next = simkit.solvers.block_coord(x_curr, lambda x, d: global_step(x, d, x_tilde), local_step,\n", " tolerance=0.0, max_iter=N_INNER)\n", " return x_next" ] }, { "cell_type": "markdown", "id": "ae37145e", "metadata": {}, "source": [ "## Drop the cloth\n", "\n", "Released flat from rest, held at the two top corners, it settles under gravity. Backward Euler is\n", "unconditionally stable, so the large step $h = 1/30$ with only 8 local/global iterations per step is\n", "plenty, and the whole run reuses the one factorization." ] }, { "cell_type": "code", "execution_count": 9, "id": "b7392fb8", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:58.018852Z", "iopub.status.busy": "2026-09-24T03:44:58.018768Z", "iopub.status.idle": "2026-09-24T03:44:58.186645Z", "shell.execute_reply": "2026-09-24T03:44:58.186202Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "240 implicit steps in 0.17 s (0.69 ms per step, one factorization)\n" ] } ], "source": [ "x_prev = x_rest.copy()\n", "x_curr = x_rest.copy()\n", "states = [X.copy()]\n", "t0 = time.perf_counter()\n", "for step in range(N_STEPS):\n", " x_next = fast_mass_spring_step(x_curr, x_prev)\n", " x_prev, x_curr = x_curr, x_next\n", " states.append(x_curr.reshape(n, dim).copy())\n", "t_sim = time.perf_counter() - t0\n", "print(f\"{N_STEPS} implicit steps in {t_sim:.2f} s ({1e3 * t_sim / N_STEPS:.2f} ms per step, one factorization)\")" ] }, { "cell_type": "markdown", "id": "3ec8d7b7", "metadata": {}, "source": [ "The simulation, every second step. The top edge sags between the pins and the cloth swings, then\n", "settles. It leans slightly to one side, because every quad has its single shear spring along the same\n", "diagonal." ] }, { "cell_type": "code", "execution_count": 10, "id": "c89c9780", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:58.187761Z", "iopub.status.busy": "2026-09-24T03:44:58.187684Z", "iopub.status.idle": "2026-09-24T03:45:01.308133Z", "shell.execute_reply": "2026-09-24T03:45:01.307594Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frame_idx = np.linspace(0, N_STEPS, N_FRAMES).round().astype(int)\n", "frames = [states[i] for i in frame_idx]\n", "fig, anim = utils.animate_mesh(frames, T, lims=utils.auto_limits(frames, pad=0.3), fps=FPS,\n", " figsize=(5.5, 5.5), pin_pts=X[pin_idx],\n", " title=\"hanging cloth, fast mass springs\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"cloth.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"022_cloth.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "d152713b", "metadata": {}, "source": [ "The mechanical energy over the run, one term per line: kinetic $\\tfrac12 v^\\top M v$, gravitational\n", "$-f_g^\\top(x - x_\\text{rest})$ and spring energy. Gravity feeds the springs and the motion; backward\n", "Euler's numerical damping then drains the kinetic energy, so the total drops and flattens while the\n", "swinging dies out." ] }, { "cell_type": "code", "execution_count": 11, "id": "28c45ecf", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:01.310715Z", "iopub.status.busy": "2026-09-24T03:45:01.310613Z", "iopub.status.idle": "2026-09-24T03:45:01.388951Z", "shell.execute_reply": "2026-09-24T03:45:01.388567Z" } }, "outputs": [ { "data": { "image/png": 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r3KhRo+izzz5jq92HH37IVjlUy4eFDsDCpw2mlffwiqrv2iCbEIVgtZfRruyuvU68p+1aVpg2bZpacV8buIpRnkIQBEEQBEGfIF8BnY1e1oLSZIQf3Kdwz6L2k1K5H3W9EM8H4ZeXoM8mBKl2nCCSQkqWLMlJJPo6HkFBQeTj4/Nik64ZYYn7DGS/Led8y7m2nHNtqefbEvfZUPsN7QFeFmJmMsIPmbqIz9OmQoUKtHr1ah5Hf1AQEBDAyypgunr16uoygYGB6daRmJjImb7K5/GKz2ijTCvLZMTBwYGHjODk6vvCNsR3GBuWuM9A9ttykHNtWVji+bbEfdb3fmd1vSZz1JHRe+XKlXTzrl69ytm3AO5ZCDPt3p1Qv8juRcV4gFf0AIULVmHnzp2sxJXG6lgGmb4JCQnqMsgARtHYzNy8giAIgiAIpoLJWPw++ugjatiwIbt6e/bsSUePHuUSK0qZFZg2R44cydX+y5Qpw0Lwiy++4OyWrl27qhbCdu3a0aBBg9hFDHGH6vHI+MVyoE+fPhyvh/p+Y8eOZXfy7Nmz6fvvv8/T/RcEQRCE54EeyNoGC2MFhhZsJ8qsWZLFL1lH+42SdjY2NpYh/OrUqUP//vsvx9OhbROEHRq5oy6fwpgxYygqKorr8sGy17hxYy7Xot3a6c8//2Sx16pVKz743bt359p/Cvny5aNt27bRsGHDOEjS29ubi0Jr1/oTBEEQBGMK6kdJMlOozoZthAjCNltSubMUHe03Plu4cOFcJY6aTB0/UwIuZghI1BHUZ3IHYg+RcWwpT02WuM9A9ttyzreca8s517o637D0oUOVs7MzJw4Yu5iC5IDlC5YrY99WY9tvrAMJItHR0ezZzGj5y6r2MBmLnyAIgiAI6YGYgCCA6EOrUmMH2wrBYonCz0YH+43zfPv2bT7vOXX5Ws6jlSAIgiCYKZYkoiwZKx2cZxF+giAIgiAIFoIIP0EQBEEQBAtBhJ+gV0Ki4mnqxov0485rFBgRK0dbEATBAilevDitWbPmmfmDBw/m0mn6Qt/rN0UkuUPQG0ERcfTmosN0NSCSp3/YcZ36NihGn3WoQDbWEo8iCIJg6aCmrq6YNGkSnT59Op3A1OX6zQWx+Al6ITgyjnovTBN9ID4pmX7Zf4uWHb0rR10QBEEQ8gARfoJe+HbLFboeqBF9BfM50juNS6jvzf7vKkXEGn+FeUEQBEH3oHYhGiSg6UK/fv246xZAmRJkrf7xxx9UunRp8vDwoP79+6frSHLy5Elq0aIF5c+fn5dZuHAhz4eVD529NmzYwMWNlQLH+LyyfnDt2jV69dVXuSwK1tGtWzeLO8Xi6hV0TmhUPK05/YDH3Rxsafl7DaiolzM9Do+ljWcf0ZPIeJq/5yZ93LacHH1BEAQd82RcM0p6GmCQ42rj4Ufe3+zJ8vLXr1+n9u3b09ChQ2nUqFEszDKyefNmOnXqFEVERFC9evW44xaWe/z4Mb3yyiv0888/c9etS5cuUZs2bahkyZLcmvWzzz57xtWrDTp7tW7dmjt+/fXXX1xT78CBA2RpiPATdM6qE/cpLjGZx1+vXZhFHxjbtjxtu/CYEpJSaNH+mxzv5+ee1k5PEARByD0QfckhD43uUB4/fpxbpsIy17dv3+cuhzapbm5uPLRr145OnDjBwg+WwKZNm1LPnj15ucqVK9OAAQNo2bJl3Ib1ZcAaaGdnR1OnTlXr4cF6aGmI8BN0SnJyCi09cked7lu/mDoOAfh2g+Ic5xebkEz/nHxAQ5qXkjMgCIKgYyucMX7XokWLqFy5cvT666+/cDl/f3913MXFhZ4+faq6gjdt2sQuYO2WdU2aNMnS99+5c4dKlSpl8cWuRfgJOmXPtSC6ExzN403KeFNJn/SNpN9uUIyFH9h8/pEIP0EQBB2THderIZk1axYtXryYevfuTStXriR7e/tsfb5IkSL02muv0fLlyzN9/2X9josVK0Y3btzg9mmW3OlEkjsEnbL6xP1MrX0KxbxcqFJBTfPos/fD6F6IRiQKgiAI5o2joyPH38XFxbHVLz4+Plufh3t4586dtHr1ak74wICYvmPHjvH7fn5+bNVLTEzM9PMdO3bk74YrGfF++P5du3aRpSHCT9AZSckptP/6Ex53d7SlluV9M12uQ5UC6jisfoIgCILliD9Y+2B1g/UOQiyrFCpUiLZu3Urz58+nAgUKsNAbNmwYhYeH8/s9evQgd3d3ztjVdgcrINP3v//+45jBokWL8jrmzp1Lloa4egWdceFhGD2N1qTdNyzlTbY21s8VfjO2XuHxjece03tNJc5PEATBnEF8HoDgc3BwoHXr1j3jbkV3D7yf0T2sTY0aNWjbtm2ZfgfKs+zZk97N/dtvv6WbLleuHMcJWjJi8RN0xr5rGmsfaFLW+7nLlfB2oQoFNO7eM/ee0v1QcfcKgiAIgiEQ4SfojH3XgtTxJqV9Xrhsh8ppWVs7LwfKWRAEQRAEAyDCT9AJ0fGJdOJOKI8Xze+s1u57Hs3LpcX/HbkZImdBEARBEAyACD9BJ0C8oTCzUsblZVQs6M5dPfizt4KfiesQBEEQBEH3iPATdB/flwXhZ2NtRXVK5OdxtHC7EaTp6ysIgiAIgv4Q4SfohGO3Ne5aJGk1KPly4QfqpQo/cFjcvYIgCIKgd0T4CbkmLjGJLj/W1FEq5eNK+ZztsvS5+iW91PHDN4PlTAiCIAiCnhHhJ+SaS48i1Pi+aoWfLZr5PNDBw1WN8wuROD9BEARB0DMi/IRcg1p8CtWK5Mvy51DguVYxTx4PioijW0+i5GwIgiAIuWbw4ME0duxYo1/n80Axa7S30wfSuUPINWfupwm/qtmw+Cnu3j1Xg1SrX0kfVzkjgiAIQq6YN29euq4hJUqUoNDQ0ExbuWXGpEmTuA+wtvjSXqcpIxY/QWcWPzsbK6pQwC1bn61TXGPxA6fvpglIQRAEwTJBea+kpKS83gyzRYSfkCvCYxPoZqqLFm3YHGxtsvX5SgXzcWmXjJZDQRAEwby4f/8+tWnThry9val27dr09ddfs0sT4HXatGlUv359cnZ2posXL9LSpUupcuXK5ObmRkWLFqUvvvhCjQUfMWIEDRw4MN36p0+fTm3btuXx/v3708iRI3m8bt26/Fq4cGFydXWlP//8kyIjI6lLly7k6+tL+fLlo6ZNm9KZM2d4OVj5sG0bNmzg5TFkXCc4fvw4NWrUiK2IFStWpL/++iudxbBz5840fPhwfr9YsWK0cuVK9X30G8YxwHcXKFCAhg4dSjExMWQIxNUr5Irz98NIqb2cncQOBSd7Gyrr50aXHoXTtcBI7gDibC+XpSAIQk7ptaEXPYlJq62qT7ydvGlFpxVZWrZPnz5UpkwZWrVqFT1+/Jg6dOiQ7v3ffvuN1q1bR6VLl2aLH4TiP//8w5+BKIOoK1++PL355pvUt29fatWqFc2dO5ecnJz483/88Qd9+umnz3zv0aNH2dWL9XmkunrDw8N5e5YtW0Y2NjYcu9ezZ0+6fPkyde3alT777LNnXL3aPH36lNq1a0cTJ07k2L+DBw9Sx44dWaBCDIKtW7eyeJ09eza/YjmIQXd3d97mhQsXUtWqVenOnTv82ZkzZ9Lnn39O+kYsfkKuOHM/TB2vWjjriR3aVEv9XFJyCl14qCkLIwiCIOQMiL7A6ECDDFkVmPfu3aN9+/bRN998w6KnbNmyLIS0GTJkCJUrV46FmL29PbVv356Xs7KyourVq1Pv3r1p9+7dvCysZbDgrV27lqdPnTpFd+/epddeey1L2+Pu7k69evUiFxcXcnR0pMmTJ9PVq1fp4cOHWfr8xo0bycfHhz744AOys7OjZs2asZBcsmSJukzNmjVZTGJ/IFTj4+P5O0CTJk2oRo0a/F7JkiXp/fffV/dN34hpRcgVZ7Xcs9WLZN/ipySELD92T40XrFM8rbCzIAiCkH0rnLF9FwQVBBbcvAkJCTwP1jFtMk7DYqYIMnwmLi6OxaACxNTvv/9Ob7zxBr92796d3cRZISYmhkaPHk2bNm2ikJAQsrbW2MGePHlChQoVeunnYT1U3NQKEHB79+5Vp/39/dVxiFcI3oiICJ4+duwYWyfPnTvH25KYmMii1xCI8BNyhWKhc7KzyXFGrnYJmLNaFkRBEAQh+2TV9WpIChYsSLGxsSysENcGYKHTRhFfANaxbt260U8//cTCzsHBgePrkKGrAJcvXK0PHjzg+Dq4bTNDe70K3333HZ04cYL279/PlkO4bj09PdUYwsw+ow0+o70tANOYnxVgvRwwYABbLGF1nDVrFru6DYG4eoUcExWXSHdDonm8nL+bmqSRXRDj52CruRQlwUMQBMH8KFKkCMe+IXYOFq5r167RggULnrs8rHsQil5eXiz6jhw58oywwzobN25M77zzDruGW7Rokem64JKFkLtx44Y6DzF+sEBC7CHRA9uljZ+fH8fewRKXGYhPDAwMZGGKZeDGRtLI22+/naXjge9HvCFE36VLl+jnn38mQyHCT8gxVwI0JmtQ3j97ZVy0sbOx5i4e4E5wND2NjpezIgiCYGZAuN26dYsFGyxeb731Fou6zEAmLxI33nvvPY7Hmzp1KsfkZQRCCy5hrAvu1MyAixWWQbiJPTw8eDtGjRrF8XUQeMgcbtCgQbrP9OjRg78XojGz2n8QjJs3b+akDYhTbCfEG4RoVpg/fz7973//44xhxDrCqmkorFIUu6agM6DkYcoOCwvjC0cfJCcnU0BAAF+0LzNJ64u/jt6lT/85x+OTOlek/o1K5Hhdk9dfoMUHNGbz3wfWpaZlfYxyn/MC2W/LOd9yri3nXOvqfMMqBjGFrFVYsIwdSA7E6yEhAokeO3fupO3bt5O5k6K1388TqLk931nVHpbzFybonMuP0jJwy/nnTuBql4LRThgRBEEQzIOTJ09yuRSIIMTXzZkzhy1rgmGR5A4hx1x+rBtXL6hcKC3B46KWoBQEQRDMg6CgIHZrwsqJwsmDBg3i+DzBsIjwE3IEntgU4efv7kieLva5OpIlvF3I0c6aYhOS6dKjNEEpCIIgmAcowHzz5k2duDyFnGOyrl7EBuCi0W6fAt/3sGHDONASAZOo6YMnC22QPo4K2aj1gyeOTz755JmsHRRRROFFBJ2igrihUqxNicfhsRQWk6Bm9OYWZAQr7uLbwVGcMSwIgiAIgm4xSeGHwofIiEGrE20++ugjWr9+PffD27NnDxeMRB0gBbSAgehDfSC0V0GFbYi6CRMmqMsgaBLLIC0c7VogLN99913OGhKe4+YtkHvhByqmrgfpRtrrFwRBEATBQl29qLeDoo3ocffVV1+p85HF8ssvv3CadsuWLXne4sWLqUKFCnT48GFu/IymyGj8/N9//3EWFVrAfPnll9yjDw2VUQdo3rx5nC2D4o4An0eBx++//15t/pxZvSEM2pk1SsYWBn2grFdf638Zlx6mFVou5+uqk+3QjhO88OAp1dAq7GwM+5xXyH5bzvmWc20551pX5xufReiNMpgSpra9xrDfynnOTF9k9ToyOeEHVy4scq1bt04n/JAhhLgBzFdAM2e0gDl06BALP7xWqVKFRZ8CxBz6A164cIH75mEZ7XUoy2i7lDMybdo0biuTERR3RKFKfQfL5gVnbqd9r49d/DMu9Zzg55Dm3j1xM5BeKeFoVPuc18h+Ww5yri2L3Jxv3Pdww8cr6tKZCkrbNksjIZf7rZxvdEBBnKQ2Sjs4sxJ+y5cv53RwuHoz8vjxY7bYZSy0CJGH95RltEWf8r7y3ouWgRUPIg6FIDOCfnsoBqmAZVGgEjGE+qzjhx8LpSK5obkTdo1fba2tqE75YmSf2nkjNzT08CIiTQPrO2EJz5yHvN7nvEL223LOt5xryznXujrfiG2HJwwiIKMQMFaU5A5LI0EH+42QNVwr6HmcsY5fZvrEpIXfvXv3aMSIEVzo0diKVCIJJLPq4zg5+v4RM8R3ZCQpOYVuPoni8eLIxrXXzWXk7mRPxbycuXsHYvxSyCrTNnB5sc/GgOy35SDn2rLIzfnG55DoqAym5ObMyfaiLRo6eiBO35RIyeV+a38WQ2bXTFavIZO5e8KVC9cpsm1tbW15QALHDz/8wOOwDiFpA42WtYEL0t/fn8fxmtElqUy/bBlY7rKqps2deyHRFJ+oiSUo7eOq03VXLKCxkKKsC7J7BUEQBEEBMf6mJvqMDZMRfq1ataJz585xpq0y1K5dmy8CZRwm1B07dqifuXLlCpdvUXrw4RXrgIBUgAURoq5ixYrqMtrrUJbJ2MfPkrkeGKmOl/bVrfCrkCr8wMWHUshZEARBsOy4QIsVfmjYjEbK2oOLiwvX7MM4+tOhAjhi7Xbt2sUWwgEDBrBgQ2IHaNOmDQu8vn370pkzZ7hEy/jx4zlhRHHVoqo4CkyOGTOGW8v89NNP9Pfff3OpGEHD9SD9CT/F4gcuSQePF5KQlEx3g6PpSWQcJSZZVjakIAimxcyZMznZEoaWsmXL0qJFi7icGqprfPbZZ3wvx/u45yqg2kanTp04ATN//vw0btw49TMKxYsXp2+//Zbv89AJzZo149AwBSRuKu+hTNuYMWOoefPmZMmYTIxfVkDJFfi4UbgZ5VWQjat9ESHjacOGDXwRQRBCOPbr14+mTJmiLoNSLhs3bmShN3v2bCpcuDBfoM8r5WKJ6NXiV1DL4ifC77mxIhvOPqJJ6y5QcFQ8z8vnZEdj2pWjPnWLmkScjyAI+qPznP0UFJFWYkyf+Lg50PoPGr9wmatXr7KRBcmZ5cqVo/v371NISAidOnWKzp8/z5U6Hj16xAYb3GthzGnatCl/dsuWLXwPRl9fhHPBEJORpUuX0tq1a6lAgQJcu/eLL75ggQgL4auvvkpvv/027d27l7+vY8eOvH5LxqSFHzpsaIOkDwR9YngexYoVo02bNr1wvXgawAUivFz4lfRx0elhKpjPkUUMuoKIxe9Z4hKTaPTfZ1j4aYPj9fm/5+nE7VCa+loVcrI3nbIOgiDoFog+dFcyFmB0wQMrrG+w6iEmH0YV3GdhgIFlD6FaMMggfOv3339XhR9EWv/+/Xkc8fyZMXToUDbaAHwenb0AavgGBwfT559/zp+tV68e9erVi7fDkjFp4ScYHvzx3kgVfoU8nMhZRxm9CrBWVSjgRodvhlBAeBwFR8aRl+uzGdOWyowtV9KJvvol85O1lRUdvBHM0/+cekCJySn0Q+8aebiVgiDkJbDCGdN3lSpVijtl/fjjjxyCVbduXZoxYwa/V7BgwXQlTmCcQeKmAoTiy1CSMwGEpFLPDt27YAXUFoxFixYV4ZeN8ysIFBgRRxGpfXR17eZVqFggHws/cOlRBDUuI8IP7LkaRIv23+JxextrmtmrGnWqWpCn1595SGNXn6Xo+CRad+YhtargS12qF5IrVhAskJe5XvOCnj178hAdHc1uX7hfR48ezeJMu74dEjILFUr77cpN6S6IStTmTUxMVMXf3bt3ydIxmeQOwfzj+xRg8VO4+CitNZwlExqdQB+vPKtOf9qhvCr6QOdqBemb7mm9q8evOU8Pnuq3a4wgCEJWQIUNVMdAEwQ0WnB1dVWFWFRUFLdORfzekSNHuE4f3LW6AEkdaOqA7loQl2j+8HcmMYKWhgg/weiEX0XtBA8p6cIsPRGgJnK0LO9L/RsWf+a4vVqtIHWtrhGDEbGJNHmdZcexCIJgHEDUIeECsX3oOIH4/MWLF6sxfLDIwSX7+uuv09SpUzn7VhfAioikDyR1enp6ckbvW2+9lWnDBUtCXL2C0Qk/rBet4BCrBlevpYM4x3/OPuFxB1trmtatynMzdyd3qczxfnDJb7sYQOcfhFHlQvkMvMWCIAhpVKlShRMtlDhxxbWLGrzg66+/5iEjSPrICBI9lGQPcPv27XTvd+3alQeFqlWrsiVR4f33389S3KA5IxY/IefCT8ddOxQcbG1UUYmagbEJSWTJLNp/m2JTO6X0rluU/Nyf37IQGdHDWpRWp2fv0PRUFgRBsET27dvHdf3QFxnNGf7880/q0aMHWTIi/IQcFW/2crEnTxd7vR09xd2LvsDaYtPSCI2Kpz8O3+FxexsrGtys1Es/06tOEfJPFYfbU61+giAIlggaMiDWD3GFqOH7zTffcDMHS0aEn5BlUCtOKQpaSk9u3sw6eFhynN9fx+5ypq4q6PI939qn4GhnQ0NbpAnEH3de1+s2CoIg5AS4bBV3r75Ak4YHDx5wNjEKSQ8fPpwsHRF+glHF92Uq/Cy0gwdiYVYev69Ov9NYU6A0K/SsXYR8U+trbb8UQI/DjKeYqyAIgpB3iPATsoxSuFmf8X0KFUT40dFbIXTrSRQfj1qF3ahofucsHz9Y/d6oU0R1l684lta7UhAEQbBcRPgJ2Y7vM4TFD/GDaN8GLj0Mp+TkFLI0VhxPE2udK3ll+/Nv1C1K1qnJv8uP3aXEJE2CiCAIgmC5iPATjNLVq53ggU4h90MtqxhxeGwCbTqnac3m7mhLzUp7ZHsdBT2cqGV5Px5/FBZLOy8H6nw7BUEQBNNChJ+QbeHnYm9DBbKQZKDbOD/LykzdePYRxSZoLHRdqhckR9uc/am+WT+tXtWyo9KqSBAEwdIR4SdkCdTSuxcarWb0Pq+AsC6x5A4eEH4K3WsWzvF6mpbxoUIeTjy+92qQmpUtCIJgTjRv3pxmzZqV15thEojwE7LEzaAoSkkxTGKHQqWCaR0nLliQ8AuJiqdDN4N5vEh+J6pSKE0AZxcbayvqWkPTxg1hkhvOPtTZdgqCIGSV4sWL05o1a7K07G+//UbVq1eXg6snRPgJ2U7s0HcNP4XCnk7k5mBrcSVdtl14zJm4oEOVArm2rnatXkgdX3PqQa63TxAEQTBdRPgJRpnYASB4KqS6e5GcAEuYJbAxNakDdKxSINfrK+PnRpVSj+OZ+2F0U0vEC4Ig6Bu0SLt79y717t2b3NzcaNiwYXT9+nVq27Yt5c+fn0qVKqW6aU+dOkWDBw+mc+fOcbcNDPgs5jdu3JiX9/Hx4XUFB2s8I0L20JhTBCE7NfwMJPyUBA/UswOXHoVTaTcy+xZtB28EqxbPKoXycSHn3PJajUKqu3zN6Yc06pWyuV6nuYLjHR6bSA621jwYIp5VEHRJ7dq16fHjxwY5qP7+/nT8+PEXLrNy5Up29ULcdenShWJiYqhmzZr06quv0tq1a7mjRrt27cjX15f69OlD8+bN42W1u3qEhoZyu7V69epRSEgIi8lx48bRwoULDbCX5oUIPyFbFj87Gysqlo1CwrlFsVSBS48iqLSb4b47L0Bv3YxuXl0Iv87VCtLUTZc4TnPd6Qf0UesyImgygO4mfx29S+vPPuSYVgDh17K8Lw1sXIJqF/OUYyaYBBB9aFNmrBw9epQePXpEX331Fdnb21PVqlW5lRpi+yD8MqNatWrquJ+fH40aNYo++eQTA261+SDCT3gpKPyrdJAo7uVCtjaGixDQzuy98CicOpc1c+F3KUAdb1fZX2fr9XN3pPolvDhp5HZwNMdMaifPWDqomTh29VmKiE1MNz8uMZk2n3/MQ6vyvjSzV3XK52SXZ9spCFm1whnzd0GUFixYkEWfQsmSJWnp0qXP/Qxcw6NHj6Zjx45RZGQkJScnk52d/C3mBBF+wku5FxpD8aldHwzp5gVlfN3YypiQlMIdPIgM94OWFyVzDlx/wuPervZUvXD2iza/iA5VC6jZwpvPPRbhl+rW/WrjJfpl/y31OMGzW72IB1v7YOl+EqmJLd1xOZC6/LifFrxdm8r6mXnMgWDSvMz1mhdYW6cZDAoVKkQPHz6khIQEVbzdvn2bChcu/MyyCoj7K1u2LC1ZsoQ8PDw4Q7h///4G3APzQZI7BKNM7FCwt7Wm0r6am+yNJ1EUm2i+bceO3Aqh6PgkHm9ezpeslX5rOqJdJX8WNYqFSxcuZFPnu21X04m+ThDH41rRv0Mb0fL3GtCBcS3pfz2qkadz6s0pOJp6zj+U7m9CEISXA/fsjRs3eLxOnTo8PWHCBIqLi6Pz58/TnDlzqF+/fuqycAUjFlAhPDycE0Pc3d3p3r17NGPGDDnsOUSEn2DUwk87zg+xb7eCzbd12y6tlmqIK9M1Pm4OVLd4fh6/+SSKrgREkCWz5OBt+nHXdR6HIP6qa2Wa07sG+Wt1pXGwtaHXaxWmdcMbq51knkYnUL9fj1JAeGyebbsgmBqfffYZ/fjjj+Tp6cnxeevXr6cTJ06wqxhJHpinxPe1bNmS6tevz5ZBWPeQ1Ttz5kzasGEDCz8kiHTv3j2vd8lkEVevkC3hV8pAxZuf17rtalAMNSfzA9Y3pZeurbUVNS7jrZfv6Vi1AFsWwaazj6i8f86LQ5syJ+6E0OT1F9TpiZ0q0lv1iz13+SL5nWnF+/Wp5/zDnF3+4GkMDfztGK0e0pAc7WwMtNWCYLp07tyZB/zWKS7ebdu2Zbos3kO2rzZFixalCxfS/mYBxKLC7t279bTl5odY/IQsF2+GVSRPhJ9WgsfVIE3bOHPjRlAU3Q3R7FvdEvnJ3VE/Qcvp3L3nDVPuwdiIjEukj1ac4U4mYHCzUtS/UYmXfs7N0Y6WDKijtsBDeZxvNl/W9+YKgiDoFBF+wgvB05lSww83PCd7w1s3KmhZ/K4Fmaerd+flAL26eRV83R2pTrH8qiX3qgW6e7/acFEV2TWLetDHbcpm6/j92r8OJ36A3w7epv8upp07QRAEY0eEn/BCAsLj2EKSV/F9AOUz0LMWXH8SQ8mKqcaMUNy8oIUehR/oUCUtM3rj2bQuIZbA4ZvBtPzYPR53treh73tVz3Z5onL+bjS+U0V1+pNVZyg4Mk7n2yoIgqAPRPgJWU/syAM3b8Y4v5iEZLqTaq0xF8JiEuj47VAeL+7lTCW9XfT6fe0qp7WB23zecoQf6lFOWpcWI/RphwpUzCtnx/qtekWpTUU/Hg+NTuCSMIIgCKaACD/hhVwPTHMF5pXFD1QskFZs+GJq6zFzYd+1IEpMtWLC2qfvFmHIWkUXCnA1IDLdOTZn0JXj8mPNvlYu5E596hbN8bpwjqa+VoXcHTX5cf+eesDnURDyCinPZBmk6KAMlwg/IUuJHXku/LQSPNB1wlzdvPqM79OmfZU0q9+mc+af5BEWnUDfbb+qTk/qXIlsclknEeVxPutQQZ3+/N/zXIRbEAyJjY0m7jo+XlNoXDBv4lPPs3Lec4KUcxGMuoZfZj17kU1pLiBecc+VIDXmDBm9hqB9ZX/6csNFtZjzh63KkDkzf+8Nrr8HulYvSLVT6xnmlp61i9A/px7Q0VshnDCCYtDDWpTWyboFISvY2tqSs7MzBQUFcRmUzLpeGBNKOZekpCSL6n2dooP9Rps6nGecb5z3nCLCT3gh1wOj1BZiHs5pfRUNTYF8juTlYk/BUfF09n4Y/xGZw4/GmftPeZ9AkzLeXDDYEBT0cKIaRT3o1N2n7P68ERSZJ6V6DEFQRBwtPnCbx+1trOmTduV1tm50V/myS2VqP3svl4f5add16lG7MPm6pRWBFogSkpLpTnC02vPbxcGGSnq7piuWLeQM/A4WKFCAbt26RXfu3DH6w4jfbggYCFRz+A039H7j86hpmJt1iPATnktoVDw9Sc1WzEtrH8BFXrVwPtp1JYiexiSwdSWngfmW7uZV6FilAAs/sPncIxre0jytfnN3XaeYVBdsn3pF1Tp8ugJZvr3rFqU/j9ylqPgkmrntKn3TvSpZOmzNvhpEq07e55I3cZm0Wyzh7cLX/Vv1ipBIwJxjb29PZcqUMQl3L8TPkydPyNvb2+itk8a43zjXuT1uIvyE56Jd462cETSlr5Yq/MDpe0/NQvjtuqJVxqWcYYVfu8r+ajbqxnOPzVL4PQqLoWVH7vK4k50NDW1RSi/fM+qVsrTu9EOKiEukFcfv0dsNiqeLS7U0jtwMpi83XqTzD14clgELINzjvx64Rc1LedCkrm5UzNs8Lc/6BmLA0dHRJAQQXNLYVksTfnZGst+Wc9SFXAm/sv5GIPyKeKjjZ+6FkakTGB6r3hiRZYriwIaksKezekzRhkxxw5kTC/bepPgkjaWpf6PienPBerk60PCWmtg+JN19tfGiRWZZIrll3Oqz1GvB4XSiL7+LPbcLRCwpCmYPalKC6hT3JDsbjbsKh2rX9afUZtY+ttCi9I4gCPpBLH7Cc7liZBY/uHq1Y+PMydrX0sDWPoWOVfzpzL2napKHOSUmhETF0/KjmmLNjnbW9G7jl7dlyw0QlnD3Igzh4I1g+u9SIL2SWuvPEsCDw5ClJ9SSOUrXnY9al+EyRXaZFMpGOMmyo3dp8YFb9CQynt3BM7Ze4YSnH3rXkBhAQbBki9+0adOoTp065ObmRr6+vtS1a1e6cuVKumViY2Np2LBh5OXlRa6urtS9e3cKCEjfTunu3bvUsWNHzorBej755BNKTNR0ptBu9lyzZk1ycHCg0qVL02+//UaWyNXHaRm9ZYxA+Hk621OhfA48fv5BGAeMmzK7LqfVfWtu4Pg+hfZmXMz5twO31Ni+N+oUZaucPkFizqft0xJHvt50ieIziWszR87ef0rdfz6oij641ae+Vpk2fNCY2lTyz1T0AU8Xe37Y2DGqKb1Rw1ctsXP0dgh1+GEfHbsdYtD9EARLwGSE3549e1jUHT58mLZv385p0W3atKGoqDT31EcffUTr16+nlStX8vIPHz6kbt26qe8jjRqiDwGwBw8epCVLlrComzBhgroMMqOwTIsWLej06dM0cuRIevfdd2nr1q1kScBNpVj8kFGLtmnGQEU/Z36FZeCKlmXB1IAg2H/9ieoGq1Y4zY1tSIrkd1YtqXDN3Q02j64oaDOIPrrA1tqKBjUtabC4ybqppWJgAfvziPFnWeaWgzeeUO8Fh9nCqiSCrR3eiN6sVyzLtRLdHO1oRNPCtHxQPSqYmumL9b258AitPf1Ar9svCJaGybh6t2zZkm4agg0WuxMnTlDTpk0pLCyMfvnlF1q2bBm1bNmSl1m8eDFVqFCBxWL9+vVp27ZtdPHiRfrvv//Iz8+PqlevTl9++SWNHTuWJk2axNky8+bNoxIlStB3333H68Dn9+/fT99//z21bduWLIXAiDhuJQbKGoG1T6GivwttvxqqunsrF0pz/5oSsGQoPZCbl/XJdTHh3Fr9UCIHbDz3iIY0108ChCFZduQOhcdqjm/XGoV0nsn7ouzz8Z0q0Ks/HuDpH3Zco241CxvNg5M+ruOBvx2j2ASNZRN1KBf1q03ujjnb31rFPGnjh03og79O8YMR4jNHLD9NwZHxNFDPrnpTig3GsUEHIxTYR+WF6Pgkwi8ISm75uTtQBX93qlI4H9Ur4UVO9oYpESWYDiYj/DICoQfy59c8XUMAwgrYunVrdZny5ctzvZtDhw6x8MNrlSpVWPQpQMwNGTKELly4QDVq1OBltNehLAPL3/OIi4vjQSE8PFzN4sGgD5T16mv9lx+lJU+U9XPV2/dkB2yDYvEDp+8+pd51ipApsuNSWghCs7LeLzy++j7X7Sr50vQtl9U4v/ebGscNNqf7HZeYRIv23eJxlLp6v0kJg16/lQu606vVCtC6M4+4jy9q+41tVy5Ln9X3udYl5x6E0YDFaaKvVXlfmtO7Ojna2WR7+7X3O5+TLf3SrxZNWHuBVhy/z/OnbLhIsQmJNLiZ6T+U5OR8w/q55vQD+vfUw5cUsI9K143HwdaaGpbyotdqFKJXKvoarE6ouVzjprbfWV23SQo/7ByEWKNGjahy5co87/Hjx2yx8/BI7zKDyMN7yjLaok95X3nvRctAzMXExJCTk1Om8YeTJ09+Zn5gYCB/Rp+girc+OHE9TZj4OSY/EyuZV5T1dSaECyG879itJ0azXdnlv4uaeDokNZb3SMnSfujrXMOxVtbHia4GxfDN/NTVu1QwNZbSGMjufq8594Qt1qBZSQ9yTYmigADDZiz3r5mfNp9/TAlJKZy40LaUExVwz/ox1de51hUPwuJo0IorqtW6fjF3mtCqIIWFPKHc5Ntr7/eIhj7kYp1Ivx7V/DZ/u/UqhTyNoIH1/M2u8O/zzvej8DhaejyANlwMpvikzLPE8XvoZGtDySkpFJ0qwhUQEoMSWBjyOdpQt6o+1KOaD3k6570F2tivcVPc74iICPMVfoj1O3/+PLtgjYFPP/2URo0apU5DJBYpUoRd0e7u+qnlpbRu8fHx0UtNoIfRaUKkTtlC5OeX9y5VZZ8rF8xHZ+6H0e2QWLJz9eQYOVPiTnAU3Q3VCJOaxTypTLFCeXquwas1Iul/2zS9bI8HJNKgskUpr8nJfqMMyF+nNbUJwYi2FcjPz/Dxk3h2HNAwmhbsu8U37N9PhdLMntVe+jlDnOvcghCQscsOUWiMRvShLMsv/evkyqX4vP0e39Wf8nvcUK/NRUcekZ2jE5eEMQfx97z9xjH+Yed1+uPQHUpES5gMFuVmZX3YrQ5vjK+bg3osYO2+HxJDFx6F0+GbIbT7SiA9Dtf81oTFJtHio4/pr1OBNLBRCRrcrCS5OhheApjCNR6bkESPwmIpPDaBouPQYo3I1saaPJzs+H4D4Zzd688Q+52ZYcoshN/w4cNpw4YNtHfvXipcuLA639/fn5M2nj59ms7qB0sK3lOWOXr0aLr1KZYW7WUyWl8wDQH3vIOK7F8MGcHJ1feFra/vuBagyejFtV3Wz92o/kDrFM/Pwg+cuPuU2lbSnDtTYfdVTVIHaFneL8vHVp/XU8eqBdWb66bzAfR+M+Mp65Kd/d589hHdDdFY2RuV9qIaRQ3T+zgzhrUsQ3+fuM89gtecfkjvNimZ5ZhUQ/x25ARk0g9bdopuBGksqKV8XGjR23XIJYcxfVnZbxQWd7K3VXtL/7znJouhzzpUMAvxp73fSKpbefw+Tdt8icMEFNDHG91h3qhT5IUVFpzsramMvx2V8XenrjUKc/eUw7eCuawRwjhw3OCa/2n3Dfr7+D0a9Uo56lm7MIsaQ2Ms13h0fCIduRVCx2+HcKwzkgYVj8HzcHOwpRI+LpwYV7tYfqpd3JPjiLNyPepzv7O6XpMRfviD+OCDD+jff//lcitIwNCmVq1aXBV7x44dXMYFoNwLyrc0aNCAp/E6depUdsHCGgeQIQxRV7FiRXWZTZs2pVs3llHWYQngx+JqqvArlt/Z6IKDYWFYtF8Tw3XsVojJCT+l+whoUd6HjAG0zkLNNRRyRl0/ZPcW9UqLpzSV34ifd99Qp4c2z1vxioSOD1qWUQXL1I2XaNmgeiYtVqZtusw1CgF6Z/82oC7lM4Db8J3GJcje1pq+WHOepxfuu8XHEeVzTPl4anMvJJrGrj6rHt+0+pMlef9R+iYnvaQblvLmYWz78rRw703ONEcIAuomfvbvOVpy8DZN7FyRGpb2JkshNCqetl54zMlsR26GqEXeswo69EAkYlh6+K5a/aJpGR9qV8WfGpXy5uvVWLE1JfcuMnbXrl3LtfyUmLx8+fKxJQ6v77zzDrtckfABMQehCMGGxA6A8i8QeH379qVvv/2W1zF+/Hhet2KxGzx4MP344480ZswYGjhwIO3cuZP+/vtv2rhxI1kKd0Ki1fpnxpTRq4CnKwVTq/OFp8vDNzU/7ChbYQyFsRU6VyvAwg/8e+oBjWhdxuQKYit15NDeD0HteU3f+sX4xoqizoduBtOOS4HU2kSLOv976j63VgPouLHg7VpcDsiQx9LexorGrj6ndmUB5iD+1p95SOPXXGBBofBqtYL0aYfyVCCfbjLSYZGa9GolGtCoOCdzKQkgKNvVZ9ERTgCBFdXHzXjie3X9YHj8Tij9efgO7/vzxB5cucW9nLmzkYezHbk42HJnGVi7Q6PjKSgijm4HR9GD0BjS9sLDNYx2jRjcHG2pdQU/6lS1ALvl88KiahbC7+eff+bX5s2bp5uPki39+/fncZRcgakTFj9k2SIb96efflKXtbGxYTcxsnghCF1cXKhfv340ZcoUdRlYEiHyUBNw9uzZ7E5etGiRRZVyufAwLTy7UsG8j+3LrJBzGV9XuhYYSecfhrOYcrY3jUv5wPVgtagvuhkY0w2ra/VC3DUBP3K4yX/YqrRRbd/L+GlXmrVvSHPj2HY89Y9tV56GLTvJ02jl1qSst1FkV2YHFEwflyq4wORXK1OtYoZ3o/eqU5Svz3H/mIf4w2/X1O13OHlDW6B93a0KCwZ9gB7nP71Zix+av9pwUQ2bwcMeqg2MaVee+tQtytZCcwDxeqtO3Od4Se1uVNrHu2lZH2pc2puqF/XgB/KsXEtIbEJlieN34CYOpRN3QlWDSURsIh9PDN6uDvRajYLUvWYhMpa7qa0pqfWXgebHc+fO5eF5FCtW7BlXbkYgLk+dOkWWCI7z+XuaOnmgkpE2mq9dPD8Lv6TkFDp19yk1MhE3xc7LaW3aWuRRm7bnUdDDiRqU9GJX0+3gaDp17ynVLJpmXTVmjiJG506oWkC4jRFZ1TpU8edAfGwjjuviA7dNqiwJSom8/8cJzhAFvesWoT718i755426mu82dfGHB+wPlp2im1o9srtUL0hfda3MBa0NESv979BGbKH6ZvNlTihB7cvxa87TyhP3aWrXyiZbJxVExSXSsiN3acG+m2yl08bD2Y5er1mYOlcryHF6OblukBjTuIw3D4rA3HM1iLacf0z/XQpg8QdQZxGhCRgq+DnT6LZW1Lpi3oYnmYzwE/RLctRTit6+mKK2LqBTdn2JnDUZiBULuBrloa9bwpP+OqqJrcAN1RSEH2Inlfp9sAQ1LJ33rsiMwN2jxBj9c/K+yQi/OTuvqeMQVcZkrcBNBTFUnefsZ9fQHBR1rlGIfN01HSqMGWRJD192kh481STM1Cjqwe7CvMaUxR8ertFVBvGSirsRyRtfdqlM3WoWMuj24+8ESSPoKY3tWX1SUzcRcb6v/rif+jcsQaPalM2T7N+cgkzc3w/epl/230qXIANqFvWgt+oXow5VCnC9SV2C9SHeHAO8OvuuBbGlESIQMZXgUkA0F9vOa4zL8SzkCUkhDyno44YUsWwiJQU/oKsOxXm+R1I4OS4eRilGWGgTT6sKEH6mACxoSrYYgoCN0T3dnn8QNT8LG84+4vIQxg5cLPuuaTKli+R3YquJsYGQCUWsRMUn0Vcb00rOGDOwBCkPAoj9mvdWLaNxU+N4TutWRZ2G+Ju8/iI/YBkrwZFx9M6S47ydiugr5+tE64Y3ou61CueZaIU78rue1eivQfU5UxvgMCKms/V3ezgjOCtet7xO2Ji57Qo1+mYnVyhQRB8OKazu6Bv9z9BG3ElH16IvI3iwb1XBj35+qxYd/aw1TepckcvwuDnY0CsV8t7TI8LPwkmJj6HQGb0pOVjzpBdkm59CbTTm/XJxtyju8D8UuWoaGRsIvFXacJ24G0oxRvAU9TKQRabQtpLxuCK1wZN9u9QsaZQh2XohwKSsfcOalyY7IwukVvi4TTl2MYF1Zx7S3qvGXcAWPXKV7Hkkc/z8Zk3yMzIrZe8M4g+WNLR7g9vN2Dh4/Qm1n70vXbjHO42L04Ie5aikt0Zs5TUNSnnR5hFN6ZO25bjrB3gcHktD/zxJA347ZpS9vOHGnbbpEjWavpNrHyouVhj94cHYNrIpxzTmldva08We+jcqweL+r74VyUHPojMrGOcvpGAQ8AQXNv9DSrihiWe08SlGj4f+q75fNl7TYD5y1XSKOZQ231hoWlbj3oVZHbWqjP1YK8IPfXmR8WWs9NRqg/fXEY073Vg5fe8p7U4tj4MHATzNGyvIFvysfQV1+ou1541SoICz95/SmFVn1emJnStxXK0xAvE34/Wqar9rlOjo9+tRtdd4XgOr+dSNFzlzVrH4oxTO4gF16PMOFYyu7Ae2Z1iL0rT9o2bUolxaggn+zl75fg/9uPOaUXgCHofF0uT1F6jJtztp/t6bqgsVDymod7hzdHP6vlf1F9Y9NDReLnnfMQUY1xUnGJS409spZt8KHrdycCbPMX/R5di0mL6qdeup4+G/fkLJsYZte/Uy4C5VMHbrCcqM3El9Wq5XIn+OanIZCiR4KBYIlCC5GaSp6WiMIF5OYWiLUkZ3E81Ij9qFqW6qgML18P12TdFsYwI31EG/H1eTOXrVLkJv5mEyR1boUbsILXq7NjmlWlNQkLfHvIP0MDU2Ma+4GhBBXece5MB+hSZlvGnzyCZGl9yVEdTx/LV/HZr3Vk3yT7X04pqAG7XN93u5ADRKnBiaW0+i6PN/z1HTb3dxopTSKxp/+283KEa7P2lB33SvSsWNxIpqjBj3r6SgNxC3F/FXWhkb90Hfk12xyulKudTs1IMc6nTi8eSwQIrepCmpYyyg4KjylG/swg+ZXgrtKht3wWnEGcGKoqAk0RhjiZEdqW4zFE99vZbxWvu0j+3U1yqTfao7GhmHJ+4YT4wqQibe++M4BaS2+apdzJOmdK1k9AkTSnmk5e/VZ2saQBF6JCgcvJHWKceQSTFILkBCj1IbE+d8fMcKtGRAXfJ1My6X+fPAeW9XuQD9N7oZF5FWfm/x0AKLcIv/7eaC0Pq2AKJ6w38XA6jvL0dSv/OuGiOJmGRs274xLWhKl8pqCJDwfET4WSixh/+lxNsaV45tierk1LgXj194qPmRcrG3oRLeruTeZxKRleYyiVw3m5Ijjecmhc4INYpo2vOhhZSSeWiMbt7N5x+p023yOJU/KyDQXBEnyEwzRpfkD9rWvualjCbp4GXA9fTRK2V5HPHyo/8+w/XcjOE6/WTVGe5GAHADndfXeJI5skK1Ih60ekhDKpbadQbdKd5adIQtwxBjhuDU3VDqMvcAd2xRrKboqbtmWCNu22dMGefZif39olNFjlPTLox+PzSGPv/3PDWZvov+t/UKdx/R5fUIQwTW22zGLnr39+NqEpdyjxrSvBTtH9uSt83Y4k+NGRF+FkhKYgJFrPhKnXbvPYGsrK05K0oRT2jfhR8o20JlyanFW5rPRYdR5JpZZEyg8KaCsVr9Lj2KUFvg1SrmSf75jP8HCvFo7atoBCqy4xDob0xcfBhO2y5qEk/83B3Y1WdKvNe0JJdGAajtN3mdpq1bXvLDjuucya2UF1nUrzZne5oacPGhPh1cqkp26nfbr1L3eYfoeuCzBXx1RVh0ArdA6/bzQfUBGvRvWJzWDW9MFY20Jmp2s9OXDapPq4c0SFdgGrGLP+66Tk2+3UVdftxPP+2+znGisNRl1+KMJBj0Km42Yzd1/GE/rxcCUwGZ+yjbc2BcSy6OborXaF5jfPUkBL0Te3QdJT3SdDmwr9iY7Ku14vFTWoWbqxROy4Bye32cJhYwIY6it/9Krq+PIWtHV6MRfjNT46T2XAlK56I0FtaeSRNNXY2w1MjzwA1r7emHaqmMHrWKGI214n/brqSr26fv8gy6Bi6z73pU4xsbqv2jiG6dEvmpW428uT5Wn7hP3/+n+TuCV3f2GzX44c9UyZ/aRxhWYWR9Q3+gNl27WfuoX8Pi9GGrMuwx0FWhYGQT429EO6GkvL8bu/XzosOJvsE+LRlYl4/pvD03+CFMEXnoBILhW7rCVjlcR7ByF/Z0Ih9XB3bNRoaHkeOjRIqKS+Ks4XshMRwPeT0wkhIzEYu4JhHT3a9hMWpW1ld1OQs5Q4SfBRK9daE67vr6WDV+B/XQFGpr/VjZeBcmpyZvUMzOJZQSE04x+/4ml1cGkjFQpVA+8nS2Y6sUCmbCJWlMIgA1xdaniidbayvqWNV0hF+Nop6ciHD0dgi70tELF7Wp8hrEbO3Uiu0zRrGfFUr6uLIwGPX3GZ4ev+YcVfB3pfwG9sMgdmrM6rQM3jFty3NBX1MH4gAu9WblfOjjv89whwyICsTe/X3sHvVtUIz6Nyqe43g7uDWXHrlDy4/eSyf4IHbwvXhwMrYerfpwraNWXWB4LK06eZ82nHlEF1NjGpWaleioo3TVye75q18yP8cYovyVqcRFmgIi/CyMhDvnKf7SQR63LVye7Cs1Vd87eeepOl6zmMYNpeDS9l0WfopwdG49wCgCvpXSKGgxhB8ZuHvbpNahMwbQD/NhWKxqnYQlwpQY1LQkCz+Akgl5LfwgpNFhQGF0m3JGJfSzC8rP4Br56+g9zk589/cTNP/10uRnoMO8/9oT7iOsWGv6NShGg5uVJHMC3Wc2ftiE5u+9QT/vvsFxdxFxifTT7ht8TTct482Fy9H950WJAbj2Lj0Op0M3gmnz+cfpHpTT6sYVpo/blqUC+SwrwQBdaIY2L83DneAojsXDA9qZe2FZjr3Gg3EpH1eqWcyTOzPBsmdqv5emggg/C7b2Obd5VxVvCHxGTTSAJtUZf7jsSlQju7J1KeHqUUq8e4ESrhwm+/INyBjoULUACz+lhpcxCb81qdY+YIwdJV5Gq/K+VNLHhW4GRWn64d4OydN6bih8fO6BJvkALiQUaDV1UCMPMWFIqngUFksfr7tBq4YWIHcn/d70dl8JpPf+OMF1MMGr1QrythjDA52ucbK3oZGty3IsKOrQIWEJbbQgeHddCeJB6U6CzhVIFECcI95HQWDEmN0Iisy03RaSoDpVK8C17yBcLJ1iXi48oDUaeBodz1nAKK0THBVPMfGJ9DQsnLw885Grgx35ujtwn/DiXi5GX47JXBDhZ2H9eNW6fY6u5NT0jXR15hBrBPDElRkQimFXj/J41JYFRiP8GpXy5ngduFvgtjIWdy8yNTec0Qg/1BczRfcZYvoGNy2lugJnbL3CJTPyQhygB+fUTWmtzj7rUN4sYn1wrSKR4rW5B9k6cjUohtt6LR5QV289UjeefUQfrTitlsRoU9GP/tejmtHEcOoLWPSmdavKMX5LD9+hNaceprNIoQsEhqxQzs+NXq1ekHrWLsKCUcgcD2d7HuAWBsnJyRQQEEB+fn5kbS1CLy+Qo25BxBxYRSlxmnR7iD5r57Tg7ZN309wWyDzNDKcGr5G1myaVP/boeqMp7YKnRNy4ANy9e4wku3f9mYfsUlKsKcbYmzcroHF8idRiqCiMu1erpIIhmbntqnpThnu/iVYBb1MH8UtLBtYhd0fNNXLsdijXLNN19wmUyEAwPty7iuhrX9mf5r5Z06KsLfBofNK2PNd+WzW4AY1sXYbjybxdM7eyQg8X93LmWLOJnSvS9o+a0taPmrKVT0SfYGqY5p1IyBExe5ap486t+6d7Tzte5XnCz8rOgZya9aaoDT8SJcZTzP5V5NLuPaNz96KheFsjcPeiyKjCm/VNMwEBIEB91CtluQcqmLH1MjUp7W1Q6xCKNf9+6DaPIytw0qsVydwo7etGf7xTl+vORcQl0am7T+m1nw7Qgr61qbSvq04spp+uPsfhEAooeo1et8ba31jf4BpG6IJ2+ALENkqzRMYlkq2NFVtdEWtmDF4EQdAFlvnXboEkPrxGCdeO87htscpkV7xqpsIPN9UXlXFwav6mOh6z+08yOMlJFHd2FxeTjtn/NyXcPstWDMXdC7ZdCOCbXF6CGlZKIVxkHlctnD5ZxtToWKUAVUy9Ls4/CKfVJzUi2xCgK8DHK89wSQ4AN11hT02BXnMD18rc7mXU7hOIrew69wCtOfWAr/OcgqSnjj/sSyf6Rr9SlnvcWqroex74HUG7MtTdK+vnxvFnIvoEc0L+4i2E6N1p1j6nZn3SvRcQHqsWyIRAedGNwK5oJbIrWYPHE26eooS7F8gQ4KYXvXke0aTm9PTr1yhi6Rf09Id36cmYxhT8xStk9egKda5WgJdFrOK/J/O24PAybWufkfc5zaplZFz78ur015suUUhUvEG++/vt1zgGVYmrerexeWWdZqSMjzOtGlyf68ABWJ5GrjhNb/96lK6kHoesgtpoQ5ae4M+iVhqAO3neW7Xog1ZlzDKRQxCEFyPCzwJISU6imH3LNRPWNuTUuGe697Xb4CgN5F+EU/M04RijJSj12WkkbP4HFLFkHFGYpn6bNsg0hgDsnnBEnYfA7dxYSHJDYEQs/XtKIzzdHGypczXTy+bNDJSj6VRVI65RN/GrjfrvNnHyfgQt3H9LzZ6c9UZ1i4hFQ1bkP0Mbcmyo9t9p21l7aeBvxzicIeI5Vm24KmEhHLD4KLX5fi+XHlGoU9yTNo1oYvT9ogVB0B8S42cBxJ/fS8nBGiHiUP0VsvHwTfe+dqsz7RZoz8Op0esU/vvnmji/fcvJrc8ksrLVTRX8jKQkJVLojN4Ud2qbOs++VjtyqtOZkiOCKXrn75T06DpRUgL5rxxFtWosphNhjnQtMJITEeqXTOsraSh+2XdL7dHZq04RctFTZmZeMKFzRb5ewmMT6Z+TD6hD5QLUWk/Zyij/MH7TLe5nC0a3KWvS3SSyC5KBfuhdgx8cJqw9z6VeAIpXY0DdM7QnK5rfmcdjE5O5htrdkGj1mCnAdfxphwrUrUYhs8/cFQThxZj/o7OQLqlD21qnFCXdf11j8UMQs9I/9EUgs9exdgfN58OCKO70f3o7yhHLv0wTfbb2RP2+J89PlpNzy77k2mUk+cw4SC6dP1SXf/VqWp3CPw7dIUODfsd/HNZ8LyxT6MlqTiD7FAJCYdTfp3XamF27Z+fgpScpNEaTFd2otBc3uLdEUAZox+hmNKFTxXQFhtGFAi2uIALRMguCHPXStEUflsfn9o5pwYkcIvoEQTAfU4SQKckxEVx6BVi5eJBjrfbp3kfhWCVWq2EprywHeiPJI/bwGh6P3r2UHGunX68uiD2+iaLWfq+ZsLElz3ErKdQnLc4MWNk7knvfr/g1cvW31DzqKHkmhVGoTT7acuEx3QyK5NZYhmLxwdtqkdc36hThivbmBvYLfZFxfGH5G/LnCVo1uKHOAuATkpLpw+Wn6Hxqo/sink70Y++aZlGzLzfWv4GNS3CbsYM3gmnX5UDujAChp1iXNcvZcAYwWi6i9AiyVS35uAmC8Cwi/Myc2MNr02r3NerOJVm02Xste25eBYdqrcja05+SQx9T3InNlBT+hGzcvXW23UlPA+np3MHqtPtbX5J95WZEAQGZLu/a83NKjgoj2jKfeoZtofn5e3HV/e+2X6W5fWqSoWL7FqfGo8H19n6zUmSOICHg2x5V6fLjcLodHM1ZvkggmNe3FjnY2uRe9P11irZf1JxnJztrmt+3FnlK6yYGD2bNyvrwoFjs0Q0hhVLI1tqaPJzsxKonCMILEVevJbl5M2TzAu1ix8rNJCtY2diSU5PUzh9JiRS7/2/SJRHLJlFKlKaFnGO9LuTcYeiLt8fKitzf/prsytShnmGb2eqndChADThDMH3zFbVgM1pDvajvp6nj7mjHzdnRkB6g5dXwZae49EpOQbLC4D9OqMkIcJV/07Gkmt0qPAtctyggDBc8as2JK1cQhJchws+MSQy8TfEX9/O4TcEyZFe69jM32pOp9fvQmaFI/uzVRtOu6addLia3xF8/QTG7l/K4lXM+ch/0fZbKTiDBxGPEr+Ti7ET9QjVuaPDt1it6z/A9cSdErW2HchkftymrvpcU8oi7poQvnUARq76h6P9+o8THN8jUQaLFr/3rcO1HACtdr/mH6VFY1pqya3M9MILr1e24HKiKvgVv1aS6xSwnmUMQBMEQiPAzY7RLrTg36/OMeNpxKZADxEHTMtl309oVLkd2ZTRiMvH2WS6mnFtSkpMpfPEYddqtx7hsuZBtfYtRvkHf02vh/5F/gsaaiaD3Naf1V9cPVq7xa9LqGX7cthx5uTpw0eyQb3tT4OBy9HT2QIpaN4si//6awhZ8SEEf1qCQad0p/tJBMmXqlfSiX/rVIYfUEiun7z2ljj/spxXH7rKrPSv9jNEJpP3sfXQjKEotoLu4f51shR4IgiAIWUOEnxnX7ovepbGakZU1t1rLiFJrDnTKYa05p2baVr/cd/KI2b+CEq4d43HbQuXIuW32W8I5NuhGbrXb0IchS9PKkKy9wOVB9MHUjZfo0iNNIgLckr1rF6aIv6dS0Oh6FHd843M/F3dqOwVPbMelcVISstYY3hhpVNqbkzsKe2pc20gWGrv6HLWbtZcW7bvJWb/aFlcIZVhIp6y/SPW+3kFzd92ghCTN+2X9XGnd8Ea8TkEQBEH3SHKHmRJ3diclB2tcjw41XiGb/OmFHZrd70tN7EAsWq2imffnfRlIGAlHYeWEOIrd9zcnYVih7EoOM5Aj/pyoTrv3/yZH9QFh2cz37kxq+VFdahuxn7a6NaaI2EQa/fcZ+v2dujptUYUYwt9Ty8bAPfm/LmUpYtbbFHdsg7qMtWcBdovbl6tL6DuWePcCRe9YQklBms9FbZjDLnlkLWessWgqVCmcjzZ80JjGrT7H2b4AtRS/2niJB2Sb+rk7UlxCEj2JjKf4pLRMVGBnY0XvNy3FTe+dUuMGBUEQBN0jFj8zJWbH7+q4c8t+z7y//sxDtfdp1xoFcxwUbo0SMXU68TgKKsed3JrTTabIf7/jLGHgULsjZw7nFAhdlHkZHbyYfBODed6hm8H0CXq+ZsEFmRWO3AzmHrIKE9uWIP8FvdJEn5U1uXYfQz6zT5J77wnkWLMdl71x7fYx+cw5TW5vf62pTZja/i54YltKenKPTBUPZ3vO7F3xXn2qmaEeJErc3HoSRQ/DYtOJPohl1JfbMrIpu8hF9AmCIOgXsfiZIUlhQRSb6mK0zudLDjXbPrOMdsxb1+qFcvV9zi3eotiDq3kc7mXHup2zvQ4kO0Rt+FEzYWtP7m9Ppdzi1KofeR1YRZNvzKER/p9RvLU9rTn9kDtpTOlSOVf1zQ7fDKYBi49xX2DQpYoPtdk8lBJunFKTUjxHLiaH6q0z/byVtQ25dhpODpWbUsj0XtxZJenRDXryRVvymrKFbH2KmnTc3z9DG3FxYVhET9wNpbvBURQcGc/CDjF86Aldu7gnta3kz9mogiAIgmEQ4WeGxOz6g0usALgYM7pL0bj97H1NiZPKhdypjF/uymXYV2lO1vkLUnLIQ+6ykRh4h5MsskP4ks+4BRxw6fQB2frnvksDu3zfn03VRzegLwN/oM/8PqIkKxv688hdtj6hHZa3a/q6hi8DsWq/HrhN0zdfVi1XLcp40bgrkyjx+nGetnb3pvwTN5JdkbQOF8/DrnhV8pqylUK+6sLCD+55jHtN2UY2+Uw7uQGFhEe0LpPXmyEIgiDk1tXbrFkz+v333ykmRj/B8kLOSUmMp6jN8zUTVlbk3OrtZ5b5add1dbxbjcK5PtywXjm3SnUnJydR1PofsvV5tHxDEWglHs6122jSFbb+pcit13hqGn2CxgfNI5sUjVhD94O23++lX/ffynLtuZN3Q+mtX47Qlxsupom+cj70zdN5RJc1ZXOs3PJT/gnrsyT61G30KUpek7eSTYHSPA0BGPJ1N0qONkz9wZT4WO7uErZ4DD35rAUFflidAgaXp6CxTSgU2cib51FSyEODbIsgCIJghMKvRo0a9PHHH5O/vz8NGjSIDh8+rPstE3IE6sUlhz5S4+QgfLRBC7N1ZzQ3cbjYetUpopMj7dLuPbJycOHx6J1/cOeNrJCSmEBhSA5Jxe3NyWTtqNsWay4dh5JdqRrULnI//fhoCvnYJvB8dDyYsuEiNfpmJ33+7zmuQ3c3OJriE5M5DhB9d1GeZP6eG9T954PU7aeDdOC6Jl4QDGpSgv5ntYaSj/zD09j//J/9Q3ZFK2V7G5HUkX/8GrL20rjdE2+dodDpb1BKvP4erhCTGbF8CgUOqUCh/3uTojfPo4TrJyjp8U223mIbYlF/cPEYChxcnoKndKa4Mzv0XhNREARBMDLhN2vWLHr48CEtXryYAgMDqWnTplSxYkX63//+RwHPaakl6B/ckKPWz1GnXTt/+MwyKJ2h5Da826QEx7vpAms3L3J+ZYBmIiGWojb9lKXPRa79npIeXOVxu7J1yalJL9I16DKSb/Bc7vdbPfYKLb71EXUokebiRZYp3L+Dfj9OTWfsorLjN1PJzzZRjS+3c1HhaZsv04nUQtdKFvSSgXVpRMpOit+UGpdobUMeo5aQfamct4eD5S//52vYagjiLx2g0Jn9WBzrmpjDayhoVF2K/Od/LABVrKzIytWT2/Fhn7SJP7+HQqa+RsGft6T4q0d1vk2CIAiC/rFK0cHjO8TfggULaOrUqZSUlEQdOnSgDz/8kFq2bEmWSHh4OOXLl4/CwsLI3V0/nQeSk5NZZPv5+ZG1tUa/wxqDGzNA6zKvr/5LV7QZ3RHaztrHhXU9nO1o/9iW5Koj4QfgDgwcVoUoKYGsnNw4m9XGw++5yyfcu0RPxjTm5SEyvL/eSXYla2Rrn7MDautFrprO4zY+xSjgo83085EALmSt3ej+RTFrsPK9VqMwJR1bS09n9Yfa5vfyDf6RnFs+61bPCfE3TlLI5E6UEhvJ046Ne1Js98nkV6BAjvZbG1hiw3/9mGIPp3U2gSB2rN+VnBr3IPvyDThTG6C2YOKDKxR7dAPF7P+bLYHaODV/i9z6TNJbCZrMzndybBSXvkm4eZrL4iSHBVFydDhZ2dqStWt+svEpytcQHiJsi1TIUscXYyK317ipIvttOedbzrWf3s51VrVHru/6R48eZcvf8uXLydfXl/r3708PHjygTp060dChQ9kKKBimYDNagim4dP4g3U0PcWwf/nVa7aYwsFEJnYo+pYSKc4u+FP3fr5QSE0Fhi0aR5+ilmd58U5ISKeynIRrRh+19dcQLRZ8ucO02huLO7qKEq0e5hl7hdZ/R3I+WcKkRdPc4/zCMrgVE0tPoBEpMTiZne1sq6uVMpX1cqXk5Hyrp46oK7KdzBqmiz/X1cToTfQBWQ88xy7mzB9dHRB9kawdKGZK92Elt8HwXe2Alx/GlRISo8xEOkG/gDLLxfjbW08rOgZNPMLi+PpbjACNXfkOJ9y7y+2irh3luPT8l5zaDclRzMUvbnphAMSc3U8yupRR3fg8fkxezmP+38S3OGebOrfuTbUFJMhEEQcixxQ8Wvj/++IMF37Vr16hz58707rvvUtu2bdWb/P79+6ldu3YUGamxWlgSeWHxi9q2iMIXjeL3bEtUI+9puznpQmHqxou0cN8tHi/l40IbPmiil5ppyeHBFDSqDiWHP+Fpj4+WkFMDjRVSAZcctjV6+y88bVOoLPlM309W9o7Z2ueckBh0l62MKVFPeRo19dzeSBPMLyPu4n4K+bo7UWrsnVOLvmzt04dlCZa20O/egqrXfFebd1mkaZ/XrIBewWGLPqK445vSuebd3/kfdznJzrZDsEdvW0QRK6ZSilbyCaxr7v2nk0OV5qQrEp48oCfrfiLrI2lxq5liY8dJRcpxel7muXObd8mxdgd2/RuKpPAnlBRwi5KCH/Lx4g4tVtZk7eymsVD6FmMrJUQ2EGuI5Vi+LPV8W+I+m4XFr3DhwlSqVCkaOHAgW/h8fJ4tO1G1alWqU6dOTlYv5ChI/0t1Ot+A9OJg6eE7quizt7HmMib6KpRr7e5F7gP/p3GDErHgsPEpQvalNT19QeTq6arog5vRY8jcl4o+XYE4Oo+hP1Po//qwxQ4xbtbuPuTSYchLPxt7fDM9nT1AFX2O9bpQvvdm682d6Fi3E+UbMldjGYWFbdsiSgkPJo9hP5OVg/NLPw+BHbNnGYUv+VQVurzeBt1Y9GWnB7ICRJNL+8Hk2LA7RSybpCkdBEF97xKFfPkqOdZ9ldzenprtcj7a2xx/YR+LS1gTIei05RySXxxrtCX7So3JrkQ1svEuwtcOejynRIVS4v0rFH/9BMWd3s4uYaWsUfy53Twga9y5zTvk3HqAzsvlwOqecOMkxV/YT/GXD1LCrTNqQfIXYmNLtkUqkl2pmmQLq7dncUrx8SayoJuiIAhGbvHbt28fNWnShMyZuXPn0owZM+jx48dUrVo1mjNnDtWtW9foLH6+Xp4U9t2b3PcVIDnC44OFPJ6QlEyz/rvKCR0K4ztWoHeb5L5G3ovAJQVLVRxu3MDOkdx6T+AM4+jti9RtBdjWrCZ06PKJKWrLfAr/9RN12qXrKHJ744tMrWkQFUhWifjjc9W9i6LYnh//meP2dNna1j1/UfjPw4iSNSLGpmAZPm4vSiRBDFz40i84IUMBxbzd351JTvVe1dm2xV87xlm/yAZWsXMg52Zvkkvn4WSbWqImKw8vyEiP3rqI4wrTYWVNDnU6kkubd8m+cjOyyuK5xzqj9/zFIjJjfCKKhDs1ep1c2r+fqxCD5MhQdv2jYw3KEqVLlMkFVk7uZF++PtlXaET2FRpyVrourzVc07CiJj66QUmPb3B8bnJECG9/ckQopcRFaSyj1hhs2CJp7eFHNvn9ydrDn2zyF2BXuq1f8Sw9hOjyb5tFflwUpcRFcxxsSkK8ZlttbDWvtg5k7ephkL/N3GKJ1i9L3Gdjs/jpJLnD3FixYgW9/fbbNG/ePKpXrx5nMa9cuZKuXLnCcYzGIPyQRBP4+BE5rpxAsQdXqd0ifGYepQhHL/rvUiD9uPMa3Q6OVj/zfrOSNK5deYMEvOOGGDqjN8VfOvjcZdCyDN0r8uoPB1bSyH9mqNP2lZqQa4/P+EaLY8QWnCtHKPyPz9MJG1i7YDU0lJWS93vn30RLRhLFpZ5PK2tyrPcquy/tSlbnZBrctGEti9m7XK2LqODU9A1y7zeNXby6BjfimL1/cZ/l5LD0ZXzsytXn7bQvW5fsilVmkYCfHFgg0a0l/vJhij+7k+LO7Vatc9pCNbn+6+TdeSjZ+RbN1fbFn99NUVsWao5LBpcwrG2OjbqTY/VXyLZ41RcKS5TXwTbHnd/L6+ROLc9xMSM72q5YFbItVIZsvAqTNbK1IUYgXGLCKSnsCSUF3mZraeL9yy90VZO9E9mXqa1ZX5EKZFukPNkWLk/Wzvmev61JiZQUfJ+SAm7zkBh4m2tE4rhD8CmW69wCK6qtfwmy8dMMtnj1L8nz4M7O8jX+8D55O9kShQVyeAKL0VC8PuLyQkmhj3leSmRahv2LwN8Evt/aPT9fSzxAvHpoXjGtjGNZXf0u8vXNojSKUmIjUl+juBe5Mo73YdFNsbaliKhocs/vTdZ29mRlY8e/K/g7sbJ30rw6OJGVvTMR5mOejkUDSwCESiTGcx1YXDea8QTNd2GbEE5ha5v6aq95GMjh8RLh52eawg91/DI76Zjn6OhIpUuXZhdwixYtyBSB2IOb+scff1Qv1CJFitAHH3xA48al1ZzLK+E35pvvaNGfC6he2fJUzcuPkm3sKcHGgSIqtKUHiU50+XG4YphicKomdqpI/RuVIEOCeKawhSMpZvef6ebDPefWZyI5Ne6Zpz8YXP5m41yKWPqF5odPy51ok8+XEoPupEuEUGICXXuO1/mPb1b22yspnMJ/fI/7+j4DfoxTO59oA6uM+4Dp5Firvf63MzqcItfMpOitCzm5J1PYimTzwgQNWLmc275L9rU7UmBwqE6fkNFVBhbA6B1L0rm/FaxcPMiuaEWy8S9F1i75+LimRIdzzGrig6uU+PCampD0zGcdXcmhaktyqN6K7Cs25oLcWb05JsdGUuKtsxR3/ThFnttH1rdOcsbyy8B3olMMW92wrfHRlBIdwcdfyQrPS3A8Ef5h7eSuEVdOqTU6ISwSUoVGZCglhQc987dmUOyd+G/eWhGFTm58PJGwpFgOU5ISNKWVeNtjKSUmUiPoMgg8Pu76tKfYQRg6PSsOrW0pBQ8PSrxrchKlJGcQddh+3o94osTUV1zP2d1eK2u27FupgyORvQNZ2TqQVeorT2NbU+fxdtvZs0U2OjaOnB0dyArbiO9PwrYm8sMfTycmpm5jXOp1EkekXC/47Uh91YxjP5TfEytNiISVteZvD9vJg2a+RrjaaV5tbFJf7dIsxkhQe957PK2xKrNs4mOcrHlNSeYHTGWca6ZhntYy/AAaG0P5+39NDiWqmp7w+/TTT+nnn3+mKlWqqO7PY8eO0dmzZ1nwXbx4kXbs2EH//PMPdenShUyJ+Ph4cnZ2plWrVlHXrl3V+f369aOnT5/S2rVrn/lMXFwcD9oHH0IxNDRU58IvIT6G/Gs3pqcXTvO0jWt+cqncklyrvEJ2+Z/tudugZH76uE1ZqlHUk/ICXF4J145xMeCkJ/fIxq8kW59yYi2DAAoKCuKYUl0+MSEWLGzuYG6X9jxsCpcn9wHfkn2lpmRotPfbKjmRojfOpehNPz9jXdMGdfhcXh1JTq8MNLjLKznqKcX89xvF7FtBSfcvZekz1t6FybH+a+TY9A21ALa+zjfADTpm/0qK3fsXJVw9kuP12BSuwAkt9jXbkX2FBrk+1so+e3t7U0rATYq/fIgSLh1gy3nyk3u5WnfaRttyOSMIU7RGtClQih/GWEC6ebFl0srRRSMY+MacqBE4TwN4gOWNe0sjaQWWxICblJKazKVXbO35ukZMrrWTK28jhK/GigorlUY0sCiLfErJkXBdh2gshC+ypgqCAcn3+VpyrNJML+uG9vD09NSP8EO3jqJFi9IXX3yRbv5XX31Fd+7coYULF9LEiRNp48aNdPy4pn+pqYDC1IUKFaKDBw9SgwYN1PljxoyhPXv20JEjz94kJk2aRJMnT35mPlzDbm6564ObkafRT6l67cYU//TZp2OHwhXJreorVKFBa2pYxo+alspHNQrp9vvNFjxdnt5KdOAvooAbRNHhRLCilG1AVKkFUZ1XNU+CxrS9pzYR3Tih2V5Y2PL5EvkUI6ryClGZus8UYM4THl0junaE6P4Foid3ieJiNBYGN28iD3+iopWJStYiKlhO81SeF0DwX9hNdO0w0e3TROHPsbTh/OP4Fq9OVKY+Udn6RO4G7KeM7Xp0nejxNaLH14kCbxFFPCGKDNFYUGHNwQMVxBAGdNLJ50eEUj1eRTSDd1EiPCDqOrMZVi4IU5zjJ3fSxkPua65NvK9lVU8H3Jhwg7t6ESEUAdcGths1QN19Na+4tl08c3aNwOIS/VRz/CBQI5TXYM08HENlfiZW4JeCvzMca/xeqK/a4y7PzoeFDGIUblW2eCWmildYu+KI4mM1rviEWM2gPY1XTCdgGsvGZGrtV61dqe5aWLpIddUiFlKxbtmmf18dbLS2MTH9tuI11fLGA8aTUl8z2xZdgH3BtmNQ9oOH1HFY+0jLEgfYAod5eIiB9VPZB0xrH3vNQ45BGPobUbk0baFLIiIiqFy5cvoRfjAlnjhxgl262ly/fp1q1arFX3r58mV2l2JDzF34GdLiB44cPkrf/PU/2rXvAEWcC9Bc0Fq4uLhQz549acCAAdSwoSZezRzQpwUoI2y2RxcLIzh2htxvYyKv9hs9kpOC7mrcdvFxZO3szvF6Nl6F9Far0NzPNd9m4mM4zg03aLj82DoKd6qNrdHsN1yhyXA7x0azkNG4FjVChreX3YH2mu13THVdYzoX8W662G/EI7OAgQiFmzMvjyHOdao7nN2zsMDGx6W6a+MoOS6WnoYEkUd+H7Kys2MXNccP4jU1ocgKohMuZLiJ7dKuE73/5idncDeninGOe0wViTyPXcmpolp1J+O4a7mXtd7D+cBtOjgkhLwLFSMbuL7z0OKXoyOJOD4Io4zCD/PwnnJBK+OmBFwsNjY2z7SewzR6E2eGg4MDDxnBH7I+fsQaNKxP/9b/m9afX0/jdo+jpwef0tP9Tyn2QSy/HxUVxTUWMZQtW5bL7iBZpUCBAmQO6Ou4ZvgSssj9NkIMvd/Wrp5k65o3oRFmfa6dXMlGifEz1v22d8i0mLm+yfV+47N6fijJFjZORA5Omb4FbUABAeRgbFm91tgW/YlL3u/YJBZ9+trvrK43R9+OJIfBgwfTiBEjaOnSpTxgfMiQIdyqDWzdupWqV69Opoa9vT1bLRGjqH3CMK1tATQG6vrUpf71+5N3e28q9VUpavNdG3bDa7uXr169ygkpsECi0Pa///7LcYyCIAiCIFgeORJ+48eP5zg+tGuD0MOAccz7/PPPeRkIw/XrU+u4mRijRo3ifVmyZAldunSJBS2saHCdGhvDqw+nYu7F2NXw0Osh9fy8J9ceRGcV7axqlH/ZsGEDdevWjQtwjx49mi5cuJCn2y4IgiAIgpELv8TERJoyZQo1a9aMDh06RCEhITxgvE+fPupyTk5OJunqBb169eIewxMmTGCr5enTp2nLli1cVsLYcLJ1orF1xqrTv134jbOS33rrLdq5cyfduHGDk3Bg8VNATMnMmTOpcuXK1LJlS1qzZg0LQ0EQBEEQzJtsCz9bW1v69ttvWQCaM8OHD+cMZSRtIKEDtf2MlcaFGlNpD0285ZmgM3QqMK3OW8mSJVmo37p1i93vELVwZyvs2rWLXnvtNY7X/O677zghRRAEQRAE8yRHrt5WrVpxhqtgHMDN27+SpjcuWHx+8TPLIGGlTZs2tHz5cnr06BHNnj2bEz8Ubt++TR9//DG7geHaRla2IAiCIAjmRY6EX/v27TlhAELhr7/+onXr1qUbBMPToUQH8nXWtJPbfW833Q2/+9xl8+fPz3GZiF/cvHkzn0+F6OhoblVXoUIF6tixIye1SFc/QRAEQTAPcpS7PHToUH5FnFhm1ieJFzM8djZ21Lt8b5p9cjalUAptvLWRhlQb8tLU73bt2vGAYtNoUYcSMEhkAZs2beKhatWqnPDyxhtvZFq2RhAEQRAEM7b4obzJ8wYRfXlHp5Kd1PFNNzdly1KHat9z5syhBw8ecGILOrMoKK34ihcvzt1ZnjwxQHsmQRAEQRB0Tq6rCMbGaooGC3mPv4s/1fKrxeO3w2/T5ZDsx+mhKwtKvSAbeMWKFemSWlAmRskQRrkeiQMUBEEQBAsQfrDqffnll9zazNXVlW7evMnzIQp++eUXXW+jkM1YP4VNtzbl+Nghextt3w4fPswdWV5//XW1KjjE/vz58yUOUBAEQRAsQfhNnTqVfvvtNy7rol0aBHXhFi1apMvtE7JJm2JtyNZKE7q5+dZmSkaT6lyCjiUrV67kXswjR45M1xkEMYCtW7fmcw9X8dOnOWhyLgiCIAiC8Qq/33//nRYsWEBvvvkmlwlRqFatmrj/8hgPRw9qWKghjwdEB9DpwNM6W3eJEiXo+++/p3v37nHNP+04wIsXL3KmcMGCBemdd96hY8eO6ex7BUEQBEHIQ+GHBAAU/M0IkjsSEhJ0sV1CLmhbvK06vvf+Xp0fS8QBIssXcYB///03NW7cWH0vJiaGfv31V6pbty73PIZLWKyAgiAIgmDCwq9ixYq0b9++Z+avWrWKatSooYvtEnJBo4KNyIqseHzfg2fPk65AHGCPHj34Wjh37hx3O3F3d1ffP3nyJCeB+Pv7U+/evbntnWR9C4IgCIKJCT/0sMVNfvr06Wzl++eff2jQoEEc+4f3hLzFy8mLKntX5vGroVfpcdRjvX+nEuP38OFDjvOEtU8Bbe/QMQSFouEeRvFvuIYFQRAEQTAB4delSxdav349/ffff+Ti4sJiD10gMO+VV17R/VYK2aZJoSbq+P4H+w12BHE9IMbv+PHjdOLECY778/LyUt+HMMQDQ6VKlbgw9Ndff80uY0EQBEEQjLiOX5MmTWj79u0UGBjIbb7279/PvWAF46BJ4TTht+++/ty9L6JmzZrcExhi799//+UHBriHFeAe/vzzzzletE6dOpwwgsQRQRAEQRCMsIBzfHw83b9/n+7evZtuEPKeil4VKb9jfh4//OgwxSfF59m2oORP165dac2aNSwCIQZRIkYbWAjR+xmuYIhAhA1cuHBB+gQLgiAIQl4Lv2vXrrHFz8nJiYoVK8ZlPjCgpRdehbzH2sqaGhfSZNtGJ0bTycCTZAz4+Piw+xdFoW/dusVuX1gGM4rA8ePHc9xg2bJl6ZNPPqEDBw5IYoggCIIg5IXwQ99WdHHYsGEDx3EhexPDqVOn+FUwnuxehaOPjpKxgQeFMWPG8DV05coVmjJlyjNZ4Sgajd7BKBnj5+dH77//Pi1evJgth4IgCIIgZI+0gKtscPr0ab5Zly9fPicfFwxEHf866vjxgONGfdxh2UPLPwx37txhtzCGvXv3cuY4CA0N5QQiDKBKlSrUrl07atmyJTVq1ChdRxFBEARBEHRYx+/Jkyc5+ahgQHycfai4e3EeP/fkHEUnRJvE8Uf4wIgRI2jXrl0UEBDAFj7UC/Tw8Ei3HJJDZsyYwWViPD09uWg03MKwREvRaEEQBEHQkfBDXBZcdLt376bg4GAKDw9PNwjGZ/VLTE6k00G6a99mKLy9vTm0AB1CIALXrl3L8X8QeVZWmiLVAIWh0SYObuHOnTtzCRmUi3n33Xdp4cKFdObMGUpMTMzTfREEQRAEk3T1tm7dml/hYtO++aakpPC0dGcwLuG38upKHj/++Dg1LKjp42uKoBQMMn47depEX375JVudd+7cSXv27OEBWcAKcA/DIojhl19+4XnOzs5cWLpevXosHLEuWBe1r2FBEARBMGdyJPzgghNMg9p+tdXxY4+PkTkBa2DPnj15AEFBQRwTCBGotJHTfghBvUnM1243iL7D1atX56QSvGKoUKECl6ARBEEQBHMjR8KvWbNmfPOcP38+d11Aj95ChQrRH3/8IeVcjDTO73b4bTr/5DzH+TnbOZM5glIx3bt350EResgyP3r0KB05coRfb9++ne4zYWFhqsVQAaIPnUUUIYgBiSSIIxQEQRAEixN+q1evpr59+9Kbb77JJVzQi1W5iaIF16ZNm3S9nUIu3b0QfokpiXQ68DQ1LGS67t7sANcuysBgUECcIGIBIQSRnY7r98GDB88UJsd8DNoULFiQBaD2AOugo6OjwfZJEARBEAwu/L766iuaN28evf3227R8+XJ1Pkpq4D3B+Ny9SpzfqaBTFiP8MgO1ABEjiEEBLmIkfyhCEK+XL19Wy8gooHYghq1bt6rzbGxsqEyZMlxsWlsQlixZkmtdCoIgCILJCz8U223atOkz8xEvJWU0jI/qvtXVcVj8hGddxEhYUpKWQExMDJ0/f56F4NmzZ9VEEdQS1AYxhBCJGBDyoG1thLs4oyCE8BQEQRAEkxJ+/v7+3FEBnRe02b9/P1s6BOOigEsB8nXypcCYQK7nl5ScRDbWNnm9WUYN2hEi6xeDdtY6LH4QhIoQxHDx4kU13EEB8YVwKWPIKDIhALUFIQSiq6urwfZNEARBsFxyJPwGDRrEBXZ//fVXLoWBm+GhQ4fo448/5s4LgnGBc1TNtxptv7OdohKi6PrT61Quf7m83iyTPI5IYsLQtm1bdT7qA+JBSBGCijBE4hPEojZwK6MEDQZt8MCUURCimwlK2AiCIAiCrsjRXWXcuHEc/9SqVSu2bMDt6+DgwMLvgw8+0NnGCbqjmo9G+IEzQWdE+OkQiDO0L8SADiMKUVFRbA3Utg5CFCLBJCM3b97kAQWqtbOLy5Urx0PhwoWpZs2a3DUH02IhFARBEAwm/GD5+Pzzz7k9FiwdkZGRfEOSm5FxCz8FCL+e5TS174T0xCbGUnRiNHk4eJC1Ve6SM1xcXJ5xFytWP20xqAhCPERlzC5W3s8IrI6K2MQA62CpUqWoaNGiZGdnJ6dVEARByJRc+ZFgkYDgE4yfil4Vyc7ajhKSE1j4Cem5GHyRll1aRltub6G4pDiytbKlMp5laHiN4dS08LOJTLkBcX7oeoNBARb0W7duPRM/eO3atUxbzaEEDYYdO3akm49MYog/iEC4jzFoj0stQkEQBMtGAogsBHsbexZ/EH13wu9QSGwI5XfMn9ebZRQsubCE/nf8f+nmoebhpZBLNGzHMGpepDl91egryueQT2/bAMEGgYahS5cu6vyEhASOFTx8+DC7iK9evapmEYeEhDyzHghIFKnGkFEUAg8PD25TV6RIERaIGLTHUatQ4goFQRDMFxF+FkR1n+qqte9s0FkWNJYMEi/mnJpDC88tVOe52blRFZ8q9DDyIRe9Brvv7aah/w2lhW0WGrzrCdy2cOOiVBJKwWjXBkSvYkUEwjKoxAlCKKKYemag3BIG1C3MDKwf4g9iEO7kAgUKcBZ/xldYLVHDUBAEQTAtRPhZEMjspYuacRF+RH9c/COd6Huv6nv0TuV3WNxBFG66tYmmH51OoXGhdPbJWRqxawTNbTWXrafG0qs4Y2cSgG1HvUFtIaiMY7h//36m7mPFYoj3MbwICERfX990ghDCFIIQ25XxFfGOgiAIQt4jws+CqOJdRR1H315L5mroVZp1cpY6/WndT6lPhT7pEpg6luxIpT1K04CtAygiPoIOPzpM35/4nsbWHUvGDLY9f/78PNSuXfuZ91F0Gm7je/fu0d27d3lQxpXXwMDAF34HBOLjx495yGpdRAjAzESh9quy3RgQQywIgiDoFhF+FoSfsx95OXpRcGwwXQi+wJYhiARLIz4pnsbtG8eJLqBfxX7pRJ82qHf4U6uf6N1t73LSx5+X/qS2xdum64ZiasBFC3cuhnr16mW6TGxsrCrsHj16xIMyrj0PAhJC8mWgEwpEJYasArGImESIQkUMIjlFWxxmNqC6gCVe14IgCFlBhJ8FgZthZe/KtOf+HgqPD6d7EfeoqHtRsjR+Pf8rXQu9xuPI3P2w5ocvXB4ib1j1YTTzxExKoRSacHACrey8khxsHMhccXR05M48GbvzZGb5Q6whRCCshBhHuZrnvQYHB2dJKCpiEQPWnR2QnJJVoYj33d3dOYYSr3BJi2gUBMGcEeFnYVTyrsTCT3H3Wprwexr7lH678BuPo2TLtMbTshSz17diX9p2exudDz5Pt8Ju0a/nfqUh1YeQpaPE+mHIChCKSC7RFoTKOAbEJiJbWRkgFDEvY0u8F4H4RYjQl7mrn7c/EIDKoAjCjOPa07AwQjAqg/a0JMAIgmBsmITwQ2mKL7/8kttcwc0EF9Vbb73FRaS144DOnj1Lw4YN4/6oiBdCF5ExY8akW9fKlSu5rRzWWaZMGZo+fTp16NBBfR/uz4kTJ9LChQv5BtWoUSP6+eefeVlzoLJXZXUcIqZDybR9txRrH9rWga5luma5g4mttS1NaTSFeq7vyaVellxcQr3L9yYPRw89b7F5AWGlWNuQrfwykQhXMpJGIPy0BWHGIaNgVIaIiIhsbZ8iTDHoAnQ0ep4ozGyApRWFuyGknZ2d2d2Necqr9rj2K34HxVIpCILZCD+Uq8AP8vz586l06dJc5Bb9gtES63//09RfCw8PpzZt2lDr1q1p3rx5XPx24MCBHCP03nvv8TIHDx6k3r1707Rp06hTp060bNky6tq1K508eZJ7pIJvv/2WfvjhB1qyZAmVKFGCRSL6sqL1Fn5kTR24ehUuPLlAlkRQdBD9dfkvHre3tqf3q76frc/DLQyxuOrqKhaPsByOrDVST1sraANxo/RJzg6og6iIwszEIebhtwMDSuBkHIerOTdAsCqiVZ9A9L1IGCqvEKLKALGoPf2i+dldVkSoIBgvVikZu8ibCDNmzGBLHMpTAIzDAgiLoGIFRE/hNWvWsHAEvXr1YrG4YcMGdT3169en6tWrs1jEoYA1cfTo0dx3GOAGAIvDb7/9Rm+88UaWtg03DLiB8Fm4gvSBtjVEu7ZbVmi3uh09iHxATrZOdLD3QbZmmQK52Wfw7bFvuYSL4rodUye9NTgrPI56TB3+6cCJITh+m7ptIm8nbzLm/TZVjGG/IRxhNcxMFCrj+E3BgNaVyviL5mG/zB3Un3yeQMR7yoB4TOUVsZ+wiGb2fsZls/s+XO7aA+ZnnJfT93JzbRrDNW5oLHGfDbXfWdUepnHHzwTsGNxFCocOHaKmTZumc/3CUgdXLp7qEcSNZUaNGpVuPVgG4hCgZRaEI6yGCjiIyHzEZ58n/JSneu2Dr5xoff3IK+vNyforeVVi4ReTGEM3Qm+wJcsUyM0+RydE05prmvOMpIwBFQfkaD2+Tr7Uo2wPWnZ5GR+/xecX0+hao8lY99uUMYb9xo0dXgMMugAPl8iYzigGlQEWRsQ6QmDA5YtpLP+iV/z2vOj9vDh+EMwYIHwtgZyKSUUAQBBnXAbv5WaA1TW368jqd+A1syGz9wAepvA39bzPZnedxvieVYb3lfqq2G+cb32Q1b91kxR+169fpzlz5qhuXgDBBtesNlDWynsQfnhV5mkvo9QiU15ftExmwHU8efLkZ+YjuDy3rqKXgZtEdilqn5bQcfDWQXKP149V0pj2eeP9jRSRoIn3au7XnBLDEykgPCBH3/+q36u08upKtvrB7dvdvztb/4xxv80Bc91vxTXr5eWl1++BAIM4hBDEKwQlBmVceV+Zr7yH+drLZRxe9PnMllMGJN9kNbPbVMD+mNs+CfphxYoV1KRJE72sO6sxzXkq/OCKhUXuRVy6dInKly+vTqMxfbt27ahHjx4c52cMfPrpp+ksibD4oeUVArT16erFDRFJLNk1G9dPqU+Lri3i8QcJD54RusZKTvcZT1qbj21Wp/tX709+XjnfZz/yo44lOtKaG2soOjGaDkcepjfKZS0MwNDn2pSxxP22lH3GfkIAYlAEJh6u8XuJ9xSLofK+8vq8ce15EGAZ31eEmTIo4jOz4WXvYfty8rmXvSdYBp6ennq75yKO1+iFH2Lp+vfv/8JlSpYsqY4/fPiQWrRoQQ0bNqQFCxakWw5to+A/10aZxnsvWkb7fWUeWlBpL4M4wOehxK5kRDGH65OcfEcF7wrq+OXQyyZ3g8nuPp8IOMGdOkBVn6pU2SctwSWnvFXxLRZ+AAkjb5R/g6ytjO9cmwOWuN/mvs/YN7g2FZSwGEuO+wLaglA5Jrkd8OCrq3VlNmBb8R3PG5Rt0J6GcQTxnNn5nKm/l5yczNZvfT7UZXW9eSr8cAAwZAVY+iD6atWqRYsXL35mBxs0aMDJHXi6QzAv2L59O5UrV44VtrLMjh07aOTItExMLIP5AK5iiD8sowg9XKBHjhyhIUPMp2abu707FXYtTPcj77MgSkpOIhtrGzJX4JZV0JVlDmVg6vjXoWOPj9Ht8Nt04MEBalJYP+Z7QRAsR+wr9y9zRZI7/PL6FJBJPFpB9DVv3pyKFi3KcX1whWTsE9qnTx9O7HjnnXfowoUL7EefPXt2OhfsiBEjaMuWLfTdd99xpu+kSZPo+PHjNHz4cH4fAZgQhV999RWtW7eOS8K8/fbbnOmLsi/mRAUvjdUPCQp3wu+QuYKkjp13d6qCF+3WdMWbFd5Ux5dfWa6z9QqCIAiCvjCJ5A5Y5ZDQgaFw4cLp3lOq0SD7dtu2bVzAGVZB9PecMGGCWsMPwEWM2n3jx4+nzz77jIsyI6NXqeEHUPAZ2XX4HIq4Nm7cmMWiOdTw06ZC/gq0/c52Hr8UcolKeqS51M2Jnfd2srgFbYq3yVKXjqzSvHBz8nfx5xIv+x/sp8DoQPJ1zloHC0vEUntDC4IgGBMmIfwQB/iyWEBQtWpV2rdv3wuXQVIIhueBG9OUKVN4MGfK509LmLkUfIk6luxI5simm5vUcSRk6BK4x7uU6kLzz86n5JRkWn9jPb1T5R2dfoepc+TREdp8azMdfXyU7kfcJ3cHdxbHrxR9hbqX7S5CWRAEwcCYhKtX0J+rF1wO0RS4NjdCYkPo4MODPA7LXE2/mjr/ji6lu6jja66vUS3Qls7DyIc0YucIenfbu7T62mq6F3GPUiiFwuLC6FroNfrpzE/UZlUb+u74d5SQlJDXmysIgmAxiPCzUNBtwsdJk1hzMeSiWQqWrbe3UlKKpkxChxId9JJ1W8StCCd5ACR5nAk6Q5bO8cfHqfu67uxmV7CztqNynuU4qUg5Dzg3aHv31ua36F74vTzcYkEQBMtBhJ8Fo7h7I+Ij6GHUQzI3ttzaoo7r05XdtXRa4s+/1/8lS2bPvT00+L/BFJkQqT5gfNXoKzrQ+wCtenUVbe6+mbZ020LvVnlXbRV4Mfgi9dvSz6yTjARBEIwFEX4WjHac3+Vg83L3BscE0+mg0zxe3L04lfUsq7fval20NTnbOvP49tvbKT4pnizV0jdy10iKS9K0L2xcqDGt77qe3eHanU0KuBagETVH0LIOy/jcgKCYIHpn6zvsEhYEQRD0hwg/C6aiV0V1HO5ec2Lv/b2ccAFaFW2l1+9ytnNWvwNt4ZDha2kgs3n0ntGUmJLI0+2Lt6cfWvxArvauL4wz/aP9H6ooD4gOoMHbB7MFWhAEQdAPIvwsmHQWPzNL8FBq94GWRVvq/fvalWinjiOL1ZKAhROWPiTTgAYFGtC0JtPIzublhWg9HD1oYZuFVNqjNE/fjbhL4/ePN8uYU0EQBGNAhJ8FU8i1ELnZu5mdqxdFm5VsXiSwVPbOfYu2l9GgYAPycPDg8T339/A2WAooZ3Mh+IJ6Tc1oNiNbnWDyO+anOS3ncIFtgKSQxRcW6217BUEQLBkRfhYMahaikDMIjAmkJzFPyByA6ItP1sTZtSjSQu89dJWs1VeKvcLjKBi9+95usgSuhFyhX8/9yuO2VrY0q8UsyueQL9vrKexWmL5p8g1ZkabA85yTc9T+yoIgCILuEOFn4Ziju9fQbl6F9iXaW5S7Fz2eJx2cpMb1oXi19vWUXdDrWCmAjXVOPDiRv0MQBEHQHSL8LBztQs7o4GHqQCjse6Dp3uJi56LW2DMENX1rqrURYXWMSogicwaFmc8Hn+fxkvlK0ntV09oj5pQh1YZQqXyl1ISjVXdW5XqdgiAIQhoi/CwcxdWr9Ow1dVAT7mncUx6vX6C+TnvzvgzEtSkWRriaFQFqjiCG8afTP6nTkxpO0smxxjomN5qsunz/uPEHdwERBEEQdIMIPwsHddQcbRzNxtW7/2FaKZVGhRoZ/PtbF2utju+4s4PMFXTcCI4N5nHENtbwraGzdVfzqUZvVnhTFdDfn/xeZ+s2txI6u+7uokXnFtHCswtpyYUlXED7aazmwUcQBCEzNKXzBYsFVqqy+cvS2aCzXDwXNdSUTF9TRLuGXuOCjQ3+/bX8anF2anh8ONcSRDFjBxsHMieQBAThpyR0oBizrhlSfQhtvLmRQuNCadudbVwcurZ/bbJ0UDoH8aN/X/mbzj45+9zlqvtUp97le7Moz0pZHUEQLAex+Anp3L2mbPWDpeP8E03MGeLE0CHC0CC7t3mR5jwenRhNRx4dIXPj1/O/cuYy6FGuBxVzL6bz74B4/qDGB+r09GPT1YLclgriRl9b+xqNPzD+haIPoGvN2H1jqfOazmwFFARBUBDhJ6TLxDTlBI9Djw6p4gDtwvIKtHBT2HHXvNy9KNK88spKHkeIgC4SOp5H11JdqbRbafWBxBIypTMDVmNkOL+//X0ucK2AjifoeTyj6QzukoJyOH0r9lWTY8CDyAc0fOdwGrV7FIXFheXRHgiCYEyIq1dIl9lryhY/bTdvXsT3aRdzRm9aWMUQg/VF/S/I1to8/tSWXlxKsUmxPN69bHfydvLWaxjCoLKDaOyJsTz946kfqU2xNhblugyKDqKRu0dyKIZ29vhHtT7iWEjU4tSmY8mOlFI7hY4HHKd5Z+bR0cdHef72O9v5oe77Ft/nquSOIAimj1j8BG6XZWOl6bRwOdQ0hR9afB16eIjHIboQa5dXONo6qhZHxKidCjxF5gDiFv+6/BePQ8j2r9Rf799Zw6sG1fevz+P3I+9zCRlLAdnMfTf3VUUfLKyTGkyixe0WU3Xf6s+IPgXMRxmjRW0WsRVQKaiN49d3U1+OPRUEwXIR4Sdw8kFJj5J8JG49vcWuJVPjZthNCooJ4nGIPkOWcbEUdy8SCiITInm8a+mu5O/ib5Dv1Y71Q3s4Jb7Q3DN239n6DrtqAY717+1/ZytrVjvRQADCAvh3p7+pklclngdr7YidIzhxRhAEy0SEn8CU9yyvdky4/vS6yR2Vw48Oq+Oo35fXoAuF4t79785/bJE0ZRKSEuivSxprH2rsDaw00GDfjV7LSjs8ZBSvvmreVr/whHB677/32EKnlFz6s8Of6UIyskNB14IsGtsWb6v+jX+671Naf2O9TrdbEATTQISfwGjH/aD/qqlhbMIPJXGU7QiIDqALwRfIlNl6Zyv3cwYoUl3EvYhBv39wtcHpsopN0SqdVYH95ekv6U74HZ4u6laUXba+zr65Wi8s4NObTKceZXvwdAqlcHYwYv8EQbAszCPiXNB9Zm8Z0zmoicmJXOcN5HfMT2U8jWPj4e5VEk7g7oXlyhSBtfKPi3+o029VeMvg24AM1lZFW/FxhEv/32v/0hvl3yBzAsd56tGpdCb0DE97OXrRwjYLyc/FT2fJMkg0Qjzv8ivLOQN+zN4xNK/1PKpXoB5ZMsh4PvDgAJ17co67/8CyHBYfxtZttH70c/bj3xX8DSN+V59JTYKgb0T4CUy5/OXUI3El1LQsfrCmKbFn9fzrZTkGSt+gnp/1YWu+wcLdq49Cx4YAySm4GSo1H/Mqceb9qu+r8ZK/nP+FupfpblYZvmuur6F/r/+rxt3+0PIHdtPqEsT9fVrvU46TXHtjLT80fbT7I3Yll8hXgiwJ/F3iwWz55eVcCgrHIjPQAhKxlicDT9KKKyt4HjKqcf21K9GOk8kEwZQwjjukkOcg86+gS0HV1WtKxXIPP0xz8xqT5cLLyUttZXY7/DYnoJgiyy4vU8dRJ+552aT6BjFuzQo3U5MfIFzMhauhV2nqkanq9OQGk6mqT1W9fBcejCY3nKweS3TrGbZjmMW0eoNlFQ9i3dZ24/1GT+2Mog+hGkXcilBh18JqVrQ2Z4LO0ISDE6jVylZcNicyXvPgKQimgFj8hHRWv4dRD7njBNq36aMjg97j+wrmfXyfNi2LtKQTASd4fOfdnVSyiiZ72lSAy0vpOQw3upIgkFfA6rfnvqYTBXrUdindhbulmDKwvn2852M1brFT4U7UvkR7vX4n3L7Tm06ntze/zaITf++oF7jglQV5nhGvT66FXmOBrfxNKsCViwQiuHErelUkT0fPZ1zBOE4oGbXr3i41AQ6iee7puRwKMbT6UOpVrpfZ1OzUFaGxofzgC6tpcEwwxSTEUFhEGHk/8WaBDas2BDaENq5LQf/IFSqowI2HHzWlkLMpCL/YxFh++gaFXAvxYEy0KNqCZhyfweMo5oxOC6bEP9f+4SxQ8Frp1/JcFFTxqUKNCjaiAw8P8I0EZUlQWsaUmXViFt0Ku8Xj5TzL0eByaYks+gSxa3NbzaXeG3uzwIcYmnxoMn3V6Ks8s+rqC1j00F/6p9M/UUJygjofFnnUo+SwjBeEiMDqh9qIGFBeCK0hUdNy061NlJSSxDUuvzn6DdeZRK1FfVlrTQGIZLjQMSBMRClJ9DLgMsc9CF6bhgUbUhXvKiIE9YQIPyHTOD8Iv7y27mQFBGMrP+R1/euSsYGnWCQmwFqA/qqB0YG5ztA0FEnJSbTyqqY9G4Lc0ZfXGHi/2vss/MDCswupU8lOJmtlgbVacaUjrg+Zt/axhhPXqA84p+UcGrBlANf4W3djHRd0H1B5AJlT95NP9n6SzsqHbOmPa3/Mgi+7IhfL4wEEA7LNfz7zM224uUG1KKLo9juV36Eh1YaYVQzqy4T17nu7Ofxi//396sNidi3fiKPEgGOK30nUoexcsrPRJOyZC6b5aynoPbPXVFq3Kdm8oLZ/bTJGUP4Ewg/gx7FnuZ5kCqDDA2LpAFxgxmJNhZUGSTxHHh/h3rVbb2/lG4SpEZUQRV8c+EKdRhs2JFgExAYYdDuQqfp1k6+5ny+YdXIWPwTC6mLqQOyN3j2agmODeRpWPVj44JaF0M4tRd2L0rQm09jF+/WRr+lSyCWOj154biHHDn7d+GuzFi24hpHwAuun8luhDbrNIDYX9xa4c32cfXhe+NNwcnJz4pqV6FADVzASyLStg3hIXnx+MQ/4PEoRvVrqVe6MJOQOEX6CSgGXAuRu785uC1Op5YeepAq1/YxU+BVpyQHgSpyfqQi/VddWqeO4sRkTsPpB+ClWP8TEGUs2d1ZB72HlZglrde/yvVFgL09AfBssVLC0QLh8sucTWt5pOVusTRWU/JlyeIqauIE4vhnNZqgJV7oELfSWdVzGcafzz8xnixcenntt6EUja47M06QofYB4VHTywf6GxIake8/XyZeznWFNre5T/RmrZ3JyMgXYBZCfnx9ZW6f/m8XfA+Io8TsJV7FiOcSx/PLwl/w3g7+TXuV7ccyxkDNM65dS0Cv4YVKsfqiVhrgfYyY+KV6N70NGsq5LX+gKHFMlYxpiBQHhxk5AVIBagxA3TKX3sLEAka/cwG+E3eAbhSkB64bi4oUFBFm2eS1c4bbEzRrg4W/ErhEUnRBNppi1+8PJHzjrVhF9KKb+d+e/9SL6FBBugGP4Z8c/2V0OEIaCGN8Pdn7ASQ6mDo7nqqurqOM/HenbY9+qog+hIMgSR03Iba9vo0/qfMLxkNl1dSP04LUyr9GcVnNoR88d9GndTznWTwG9z3868xO1WdWGph6emqmVUXg5IvyE59fzM3KrHwKslUxIY3XzKoIa7l7lh1MRVMYMYnWUkj74ITa2bDsc0/eqvqdOLzi7wGTa4iF28stDX6rHF9bLwm6F83qzWHhOazxNreeHeDWIJ1M5rgDHFFm7cLUq9Cnfh35u/bPBLETICoa1tF/Ffuo8ZKK/vv71dKEppsa5oHPUZ2MfTgBCNyKFdsXb0Zqua+jHVj9So0KNdPZbgfPVp0IftqSu6LSCOpTowMXHAX73UYS8/T/tacqhKVlOIBE0iPAT0oGsKgXEqxgzxx4fM3o3r4Ii/IBShNiYb55wkylP8saaNYvsXtxklWsVMVWmABJmzgef5/FS+UqlEwh5jau9K81uMZtc7Vx5GvGTaJFnCuChavz+8WqRZVy74+qO44LVhk7+Qfzgx3U+Tic4EbP2zrZ32J0O8W8qwPr71eGv6M1Nb6a7J8DCt7LzSnafl8yn3zJV+DtH+aHN3TbT2xXfVotm45zj76nTP51owoEJdC/8nl63w1wQ4SeYrMXPFOL7FOBiUgrB7ru/j93Uxiyo70feV11kxpLU8TKr3/yz843eOoXwidknZ6vT4+uPN7rMT1j8kLCggO01dis1/p5QC3H9zfU8DcsQElberPBmnm4XQiQgjpSKA3ioQkmZQdsHsRA0ZvC3tOnmJnr131dZTKO/M0CyypJ2S9jCp50QaAgKuBZgN/K27tv4b195QEEsILredF7TmT7f/zndDrtt0O0yNUT4Cc/86Ntb2xt9Zi9iZ5T4PqT9G4Or7EXA4qB0SkCB7COPNIkJxlq7T6FbmW5kzLQo0kKNpzobdFZN+DBWEBeltBeEJdVYQxQQ64fMV4AbPnr63g2/S8YI4hCH7xiuWtJR0Htm85lc5scYwO8TCmMPrz5cjePEw9Xr6143WkF9J/wOvbf9PRq7b6yaEQ0rG0rgwO1a069mnm6fh6MH11Pc0n0LJyW52bnxfNRUREmiLmu70Lh94+jmU9PslqRvRPgJ6cCPZmnP0uofv7EGd194coHrPgEEEZtCxpy2u3fnvZ1GW3wV7awALJTa22yM4EaaMdbPWDn44CBtvrWZxz0cPGhULU35FGMFXVKQkQ6QkGSMyR5wQw7+bzD32lXECYpSG9t1i7g3xHL+2vZXTpZSEhWG7RxGC64soISktKLSeQli534+/TO3s9PuiITrYG2XtdSvUj+j6pSD3yg8oGx9fSsLa1SlUCyrXNx9bVe2BCvltPLyOl11dRV9d/47MgZE+AnPoJjv8aSf138w5uDmVUBdNGRwKl08jLEfMn4s45M1bmgUTs3rTh1ZoU2xNmqXGVhSTgacJGPsMPPVka/UaYi+jG3BjFFUw12qxG+hTdn4A+ONxp2OjNJ3t77L3SEArD6wrDUo2ICMlVp+tWhV51XUvLAmexqsurOK+m3tx23z8pIDDw6w4EPWrPIbgBJfP7T4gWa3nM1uVmMFrd8grLd230ojao7gByvlHoY41e7rutOHOz9kC2uSgeIr4ZXac28P15FssaIFfXnkS9r6cKtRhFCJ8BNMspCzKQo/WCOUmxLcJ3BNGhO4oWu7eZHNawrAmqLdCm/BOeOz+v1y/hf1xl7Ttyb3GDYF0NYNyR6KK237ne0076ymJmVelxvqv6W/mmzg6eBJv7T9hevpGTtwU/7Q8gcaW2esmnRyIfgC9Vzfk7bc3mLw7UFJFBTvhuUUBdGBrZUtDaw8kNZ0WcNtJ00FJCfhtwACcHSt0ekyudGOdMh/Q6jdP+24v7I+MoHxgIci/RMPTqRWf7ei4TuH07Y721QhDYwhCc3khF9cXBxVr16dXXunT59O997Zs2epSZMm5OjoSEWKFKFvv/32mc+vXLmSypcvz8tUqVKFNm3a9MzNb8KECVSgQAFycnKi1q1b07Vr18iSMHbhh0yuUwGap3xvJ2+T6ClsCu7eiyEX6Uqo5mkUtbPQas5UQOcOpVYiLBcIBTAW0If3l3O/qDfUL+p/kec1+7JD8XzF6Zum33CWLEByAuKo8gqEoPTb0k/tb4wYut/a/8YdIkwF3L/eqvgW/dHuDyrorLluEfuJwtnITH4a+1Tv2wC3PUIjXl3zKgt6BTyYoOYhOsk42zmTKYLt7l+5P8cAjqkzhnycfNIJ3Xln5lG71e1YbMO1DS9BTtztSi3Z3y/8TiN2jqCmK5pyzUY8QMOVrwAB+mb5N+nH+j9yO7+8xuQ6d4wZM4YKFixIZ85oAvsVwsPDqU2bNizU5s2bR+fOnaOBAweSh4cHvfeeJgbo4MGD1Lt3b5o2bRp16tSJli1bRl27dqWTJ09S5cqVeRmIxR9++IGWLFlCJUqUoC+++ILatm1LFy9eZLFoCeCGjx95mMmNsaQLtgkJEoq1zxTi+xSQ4IGbPty8KDr8Uc2PjGb7/7lqOkkdGUHc0TtV3uHq/gA3NLin8ho8SKLQrNJPGjFSSgytKdG0cFMWAjNPzOTpiQcm8kOXodu6ofA1rDZK4WC0AVvUdpHRZp5npUzJ3PpzaeHNhbTp9ia1hubu+7vpwxof8t+hrkvRQKygBAr+RrS7bkCcjK49mkM8jOU3SRdeFnRNeaP8G7T33l765/o/7O5VwmxwL8EA9zaSGpGxjAHXE2IxETOIFnFYHn/DT+Oecmb+/Yj7XDj+cvDldNa8jN/dpFATbjPXsFBDsiEbCggIMIpja1LCb/PmzbRt2zZavXo1j2vz559/Unx8PP36669kb29PlSpVYovgzJkzVeE3e/ZsateuHX3yySc8/eWXX9L27dvpxx9/ZLGIH+lZs2bR+PHjqUsXjSvm999/59Yya9asoTfeeIMsAbh3YEVD/0QUccUFb0wBvdrN1k3FzauAuC48UcNVDcsFrBYlPfRbAysrIFFm061N6g8WirKaGsiSRbuswJhAtqYilka7PFFesOHmBjXTGDcTxCGZKuhxC/cYSnugfMbIXSNp/ivz9doNQxtkwiPBBP1hAW7Q6BQBi58p42Lrwj196xesT9OPTef9Q5IVHmJ+v/g7Z622Kd4m17/BsPCtv7Geww4eRT1S56P0DfrgflDzAzU5wtzAsWtVrBUPAVEBbLGGlVPbsAEBB5c7hpwC8YyMeFQbQCks7b7CaFVnLJiM8INSHjRoEAswZ+dnzc+HDh2ipk2bsuhTgKVu+vTpFBoaSp6enrzMqFHpM+mwDNYJbt26RY8fP2aroUK+fPmoXr16/NnnCT+4nzFoWx+VE62vk62sV1/rRyFnCD+Ivmsh1wxerykzlH3Vrn4PEWVMf1BZAT8KSozijjs7qLh78Tw912DbrW1qmREkSzjbOuf5cc3ufsONCnHy7XFNiAf6eiI+La8IjwunGcdmqNPj6owjB2uHF+6PIc51bhhbeyzXn0O8FB4Whv43lOa3nk+VvTUek5zysv1Gpvm4/eNUyynEJpIOIFSM9VhlBWXbYXToUqoLNSzQkK2qivUPD4coSzLrxCwWZ+hJnR3rJtZ77sk5fqjbcGvDM+0i2xZrS0OrDWV3vvb26JO8vsZ9nHzY3YoBAhgPFMcCjvFxQskipV5hVijqVpSq+VSjqt5VqapPVSrjUSZd5xLtfTTEfmf5t5JMAFy8/fv3p8GDB1Pt2rXp9u1nizNCsME1qw0sdcp7EH54VeZpL4P5ynLan8tsmcyA63jy5MnPzA8MDKSYGE3JEX0RFBSkl/UWtk+ri3fk9hHyTDCODETUaToRqLH45bPLRy6xLvxQYEpUdky7SW69uZU6+XbK03MNVlzSdDsAzb2aG9Uxzc5+N8nXhH5x+IWC44LZXbbryi6q6KHp7mFoZl6Yqcb5NPZtTOXsymX5uOrzXOeW0eVGU3h0OJ0IPsEPC4O2DaIpNaZQ1fxVc73ujPuN3/6/b/9Nv177Vb0h1/epT59X+ZxiQmMI/8wB7f0eWXYktfFtQ79c+4XOhZ7jeY+jH9Oc03N4KOtelqp6VqUKHhWokHMh8nb01jxQpCRTRGIEW7xvR96mi08v0qmQU/y3kJG63nVpQOkBVMq9FFEsUUCs4f/ejeEatyZrauDWgAcqrfF8PIh+wMcDCXgxSTEUmxTL4Tl4sESSUz77fFTAqQAVcC7A1lqVBKInQU/ydL8jIiKMX/iNGzeOLXIv4tKlS+zexQ59+umnZIxgu7QtibD4IbnE19eX3N3d9abscQH5+PiQtbXuA8XrptSlhVc1/S4fJDx4RgznBdjngzcOqvF9dQvUJX9/fzI1/MiPyl0ox4kUV8KvUIprCjcnz6tzDcuucoMp4V6CWpRtYRRxKDnd7yHVh6ilU5beWUqLyi4y+P7AirDlwRY1dGJC4wnk5/LyvyF9n2tdMddnLmcswnIdnRRNn5/6nL5p/E2O6+dltt9wTcLdqVi/AOKlJtafaPAWbPrieecbv7fNyzZnS9QfF/+gvQ/2qu9dDb/KA93J3nchhq1diXbcu1i7NaehMfZrvDi92ANjzPuNhNSskKd/PaNHj2ZL3osoWbIk7dy5k12tDg4O6d6D9e/NN9/kRAwIgIxP08q0Ig6et4z2+8o8ZPVqL4NM4ueB7cq4bQAnV98Xtr6+o6J3mpXkUuglo/kDPRuaVgIFXQ+MZbuyS+tirdUM2u13t3PQf16dawSTK3Qv251sbHTTZF1XZHe/u5XtxrFRKE0BYXL48WFuHm8oYDVAzS4FJPAUcMteDTRD/HbkBhd7F/qp9U9cBgTB8ij8+9GejzgebXC1wTnOWlb2+1LwJe4WgocShWHVh3FRaWN4KNE1zzvfiPvDgGQCFP9GTTrldyMrIF4XtQPbFm9LrYq24np3xoKxX+OmuN9ZXW+eCj8oXwwvA1m2X32VVvz04cOHHJu3YsUKjr8DDRo0oM8//5wSEhLIzk4TBIvEjXLlyrGbV1lmx44dNHLkSHVdWAbzAVzFEH9YRhF6sN4dOXKEhgwZQpYEYmeKuBXh2mNXQ65yCRVjeMo+G5Je+Jkq+CFGLSmAH/OsCD99gBIGa65rYlzhyjCWNle5DeQeXmM4Cwfwv+P/o3oF6hns+v35zM/pavb1KNeDzBGICsTZoaizkhiEfUdB5UkNJ+Uo0xaiGckHiy8s5t8cgHhTJD8gMN9SQUvKQVUH8YBMXJQfufH0Bj/chMaGsjsSlRjwu+3l5EWlPEpxdQaUZTKFIuyCYcn7O3kWKFq0aLppV1dNY+ZSpUpR4cKaWLQ+ffpwnN0777xDY8eOpfPnz3MW7/fff69+bsSIEdSsWTP67rvvqGPHjrR8+XI6fvw4LVigKfiKJ0mIQojMMmXKqOVcUD4GZV8sDbgDcAPDjwqyT5FFl5cghuV86Hm1VY/So9VUeyKX89S4exFUjCf6vOg3/N/d/9SSDrix4qZhDkBYw0WGY4uOEyhf0bt8b4OUG0FNL0WATmw40aRq9mUXOxs7+qbJN5w9PfvkbP4bRauv19a+xoV04VZEUd2sPIBsvr+ZVhxYQQ+jHqrzK3lVom+bfktF3dPfAywZZI7CY4BBEHKC2fwiIfsWsYDIzK1Vqxa7kVGIWSnlAho2bMi1+yD0qlWrRqtWreKMXqWGn1In8IMPPuDP1alThyIjI2nLli0WU8MvY40pBWOo54fSMgheBrV8a5n8DRXxNgqw+uUFf1/5Wx3vWbYnmQu4NsbWHatOw7qKEhn6BBmnqNiPBCQAl6fS7sycwQMzujygtIrShxaWuzmn5lCb1W1o+tHp3EovY4FcuIdR/Pa7499R+3/b0/cXv1dFH6yzcOv+0f4PEX2CYIkWv4wUL148036RVatWpX37XtwOpUePHjy86EdsypQpPFg62pXwEXODwGqjadNmwm5e7VIKsJIowg8FiA3Jzac31WOKkjJ1/OuQOYEyC+jogf7DEH2zTs6iiQ0m6u37fj33q9rpBtbxAZUGkCWBdoRo8YXjDAsrZ5nGR9DSS0t5gBhHdxXUNoPoexj5UBXJ2jQq2IjG1B1jEaJZEPIC0zaZCHqlYv6K6VxYeY1SxgWYg0gp4l5EtarCoqq0oDIUf1/VsvaV62mWQfMja47kWDSw6uoqtjzpA1iuEN8GIHAmN5jMblBLA27d8fXH07qu6+i10q+li6uEELwfeZ9d7wgh0RZ9iC9t4NOAW5jNe2WeiD5B0CMi/IQXNhNXArQhTJRg67wANw0ENANkpqFQpjnQoUSHdF0eDAVcceuua/qtOtg45Lk1V1+gTM6ImiPU6UkHJ3EjdV0SGR9JY/eOVYUMXJRVfKqQJYPOP1MaTaE9vfbQtCbT2PKKmGHUQUOyBpIQYBXFdTehwQT67/X/aHKNyVwEVxAE/WKSrl7BcKAiP9o0QSggiyyvWmDBSqAUw0WmpHZ1dFMXfqjUD2GLdkooWWGI2MUtt7ZQREKEmgiBZBlz5Y1yb3ApDFjlkAUJV+S4uuN0sm6cty8OfMF/I6C6T3V6r2paXLGlA4GHTPGXZYujxllAmPEUDRcEc0YsfsILqeyVlviSmx6GuUXbRVfHz/TdvAo+zj4cGwXQPki7D7Ghkjp6letF5gweEiY3nKz2Ov3z0p/cKk8XoNE9MqMBrFnfNP3GKMoeCYIgPA8RfsIL0e7BidIYecXRR0fVcXOI79Pm1ZJpblY0D9c3EPDngzVlcdCDGbW+zB3UNRtbJy3LF1Y6pdZeTkGTd6UWI2qoQfTlpHadIAiCIRHhJ7wQJB8orscLT/LG4peUnMStixSrCgqTmhNoc+Vqp6l1tu32Nm5VpU9WXlmpjqPxuzkmdWQGEljaFdeU0IGbe8h/Qyg45tk+plkB3SqUAtHgw5ofUtPCTXW2rYIgCPpChJ/wQpztnNUMu6uhV3UeGJ8VUOQYZSFANc9qJl+/LyMob9GmeBseRx9ifdb0Q7FmJYkEQfYIurcUIHBRzgXFs8Gd8Dss/pRrK6scfHiQRu4aqSY7IUHhncqGLcUjCIKQU8zrDiro1d2LrEWlTllexfdVy1+NzJHuZbqr4yuurNDb92DdqKEGupXpRi52LmRp5Ubmt56vFhpGtvrbm9+me+Evd/uiduhfl/+iof8NVY/hK8Ve4fhBS7GaCoJg+ojwE16KdgzY+Sea2DBDcvRxWnxf9fyaHsrmeIxR7kKNwdPDcYa1dvnl5TxuY2VDb1V8iyyRAq4FaEGbBeTp4KlmjL+x8Q3OqkaWbmYga3fU7lH09ZGv1bItLYu0pOlNpksyhyAIJoUIP+GlVPKupI4rSQGGAu40JdPVy9GLirqYZ89OWIy0s2v1YfVbf3O92pe3TbE2Fp2IgPCF39v/rrp9w+PD6bP9n1GP9T3o1/O/cs3I04GnacvtLTRu3zjqsqaLmr0L0KJsZvOZFlmkWRAE00bqDggvpaxHWbK3tqf45Hg6F2TYzF50DIlKiOLx2n61zdql1r5Ee+5bisQD1J37uPbHOquvBwG95MISdbpf5X5k6RTPV5z+7PAnZ/juuLtDjWO9euLqcz+Dhw/0AMa5EgRBMEXE4ie8FFg1lNZiKICb00zI3Lp56/rXJXNPpHm1tKa0C2LIEE+mK9CvFskMoJ5/ParklWbFtWTQBWZWi1m0sM3CdDUrn1nOzo177254bYOIPkEQTBqx+AlZorpvdToddJrH0QEBJUjypH5fDJk1b1Z4k+PwEEeGxvZvV3ybHG0cc7XOhOQEmndmnjo9pPoQHWypeVG/QH2q17Ee90s+HnCcLX8o+AwxXsu3Fl974tYVBMEcEOEnZFn4UWoZPwhAQwi/hKQEVWz6OvtSUbeiFBgTSOZMEbci3MYN8XhhcWHcYQPiLzesvb6W7kfe5/EGBRpQLb9aOtpa8wJhBCU9SvIgCIJgroirV8gS1XzSyqgg6N0QoFMIegQr7klzju/T5t0q73InCLDk4hK1dEhOQDFobWvfsBrDdLKNgiAIgmkiwk/IEt5O3myNUjp4xCfF6/3IHXl8xGzbtL0IWJxaF2vN409intDSi0tz1Us2IDqAx9FZQlvAC4IgCJaHCD8hy9TwrcGvyO5F4VtDFm6uW8C8EzsyMrjaYLVDyYJzCygoNijb67gZdpMthgDxamPqpLUYEwRBECwTEX6CUbp74d48E3iGx1FvztJqzqEfsVLXLzYplhZcXZCtz6MQ8deHv1bbivWv1J+KuRfTy7YKgiAIpoMIPyHbFj9DCD8UbYZl0RLKuDyPYdWHqd0l9jzeQ3vu78nyZ38594vqKi/gUoAGVR2kt+0UBEEQTAcRfkKWKeVRiuuZgZOBJ7l3qb448OCAOt6wUEOyRFC8eUTNEer05wc+z1JPWbjIfzz9I48jSQS9ZJ1snfS6rYIgCIJpIMJPyPrFYmVNNfw0Vj+0/kIMmb6FH74TJUgslW5lulGroq14PCI+gkbuHkmR8ZEv7HQyevdotefskGpDqEFByz1+giAIQnpE+AnZQtvteuRRWtatLnkU+YhuhN3g8SreVXTWtswUQQmbKQ2mUBEXTUY1Cgv33dyX7kXcy9TS987Wdyg0LpSnIZjfq/qewbdZEARBMF5E+AnZol6Bepm2U9MlBx6muXkbFWpElo6rvStNrDaR8tlrBPD1p9fpjQ1v0MzjM1l877y7k0btHkUDtw6kyIRINR7zf83/RzbWNnm89YIgCIIxIZ07hGxnm8ICh64SsDAlJSfpXFxox/c1LthYzhARFXUtSn+0/4M+3PUh3Q6/TeHx4bT4wmIeMtK4UGOa2XymxPUJgiAIzyAWPyFbIOaujp+mmDLEx5XQKzo9gugre/jRYR73cPCgil4V5QylgnIsf3b8kzqV7ES21raZFtkeV3cc/dDyBxF9giAIQqaIxU/INiim/N/d/3gcVj9dijOUiVHclUhKEFdletzt3Wlak2n0SZ1PaMutLdyDF/NQ5xDdPiR7VxAEQXgRIvyEbIO+uQqIMetXqZ/OjiLi1RSaFW6ms/WaG/kd81OfCn3yejMEQRAEE0NcvUK2KZGvBLsVwfGA4zrr24u6gIrwgysTvWUFQRAEQdAdIvyEHJUYaVhQU1Q5JjEmXU/d3HA55DI9jHqolo1xs9cUixYEQRAEQTeI8BNyRPMizdXx3fd26+Qo7ryX5uZVihYLgiAIgqA7RPgJOQIWPztrOx5HD1ldtG/bcXdHpsJSEARBEATdIMJPyBEudi5Ux19T1uVR1CPuKJEb0IP2Wug1Hq/qXZV8nX3lzAiCIAiCjhHhJ+QY7azb3Lp7N97aqI63LNpSzoogCIIg6AERfkKO0XbHwt2bU+AmXn9jPY9bkRV1LNlRzoogCIIg6AERfkKOKehakFu4gXNPztH9iPs5Ws+ZoDN0N+KuWhza38VfzoogCIIg6AERfkKuaF+ivTquWO2yy7ob69TxV0u9KmdEEARBEPSECD8hV6BvLNyzYO2NtZSckpytz8clxdGW21t4HO3GWhdtLWdEEARBEPSESQm/jRs3Ur169cjJyYk8PT2pa9eu6d6/e/cudezYkZydncnX15c++eQTSkxMTLfM7t27qWbNmuTg4EClS5em33777ZnvmTt3LhUvXpwcHR35+44ePar3fTNV4JZFT13wIPIBnQw4ma3Pb7+znSLiI3gcos/Zzlkv2ykIgiAIggkJv9WrV1Pfvn1pwIABdObMGTpw4AD16ZPWqzQpKYlFX3x8PB08eJCWLFnCom7ChAnqMrdu3eJlWrRoQadPn6aRI0fSu+++S1u3blWXWbFiBY0aNYomTpxIJ0+epGrVqlHbtm0pMDDQ4PtsKmi7Z7XdtllJ6vjtfJrwfq3MazrfNkEQBEEQTEz4wWo3YsQImjFjBg0ePJjKli1LFStWpJ49e6rLbNu2jS5evEhLly6l6tWrU/v27enLL79k6x3EIJg3bx6VKFGCvvvuO6pQoQINHz6cXn/9dfr+++/V9cycOZMGDRrEAhPfgc/Agvjrr7/myb6bAii/4mrnyuNbb2+lsLiwLH3u0MNDdCX0Co9X8a5Ctf1q63U7BUEQBMHSsSUTAJa3Bw8ekLW1NdWoUYMeP37M4g5CsHLlyrzMoUOHqEqVKuTn56d+Dpa6IUOG0IULF/hzWKZ16/QxZFgGlj8AgXjixAn69NNP1ffxnfgMPvs84uLieFAIDw/n1+TkZB70gbJefa0/OzhYO3CSx8qrKyk6MZr+uPgHDa029KWfW3x+sTrer2I/tgC+qAOIMe2zIZH9tpzzLefacs61pZ5vS9xnQ+13VtdtEsLv5s2b/Dpp0iS2yCH+Dla75s2b09WrVyl//vwsBrVFH1Cm8Z7ymtkyEGoxMTEUGhrKLuPMlrl8+fJzt2/atGk0efLkZ+bDPYz16pOgoCAyBjr7daZ/rv1DSSlJLPzaeLUhNzu35y5/JewKHX58mMcLOhWkSg6VKCAgwKT22dDIflsOcq4tC0s835a4z/re74gITby8UQu/cePG0fTp01+4zKVLl1QV+/nnn1P37t15fPHixVS4cGFauXIlvf/++5SXwEKIuEAFCMkiRYpwgom7u7tevhPHBBeQj48PWyXzGj/yo66PutLq66vZ6rflyRYaXn14pssmJifS3ONz1ekBVQZQQf+CJrfPhkL223LOt5xryznXlnq+LXGfDbXfSHw1euE3evRo6t+//wuXKVmyJD169IjHEXOngKxcvIdMXuDv7/9M9q1iQcJ7ymtGqxKmIc5wwGxsbHjIbBllHZmBbcGQEZxcfV/YhviOrPJetfdo7c21LOz+vPQndSndhYq5F3tmuWUXl9HlEI0FtbRHaepetnu29sGY9tmQyH5bDnKuLQtLPN+WuM/63u+srjdPjzqUb/ny5V842NvbU61atVhYXbmiSQQACQkJdPv2bSpWTCMsGjRoQOfOnUuXfbt9+3YWdYpgxDI7duxItw1YBvOB8l3ay0ClY1pZRnhxJ4/uZTQWWVj9Ru4aSdEJ0emWuRJyheae1lj7UP9vcsPJZGdjJ4dVEARBEAyASchtiDdk86LECrJ3IQCRtAF69OjBr23atGGBh5IvKPeCEi3jx4+nYcOGqdY4rAPxgmPGjOGYvZ9++on+/vtv+uijj9Tvgst24cKFXA4GbmZ8T1RUFGf5Ci/no1ofUcl8JXn8+tPrNHbvWAqOCebpEwEnaMCWARSbFMvTvcv3pqo+VeWwCoIgCIKBMInkDoAMXltbWxZ2SJhAYeWdO3dyIWcAF+2GDRtYqME65+LiQv369aMpU6ao60ApFxSBhtCbPXs2xwguWrSIM3sVevXqxX541P9Tsoe3bNnyTMKHkDkudi40q8Us6rOxD0UmRNLu+7upwz8d2Bp4M+ym2tmjsldlGlFzhBxGQRAEQTAgVikvqp8h5Agkd+TLl4/CwsL0mtyB2EMIUmOMk9h3fx+N3jOaYhKfzWpuVLARzWw+M9tdOox9n/WF7LflnG8515Zzri31fFviPhtqv7OqPSznqAsGpUnhJrTxtY3Uq1wvsrO2I1srWyqfvzwNqTaE5rSaI63ZBEEQBCEPMBlXr2B6+Dj70Pj642ls3bFcmNnexj6vN0kQBEEQLBoRfoLegcVPEARBEIS8R1y9giAIgiAIFoIIP0EQBEEQBAtBhJ8gCIIgCIKFIMJPEARBEATBQhDhJwiCIAiCYCGI8BMEQRAEQbAQRPgJgiAIgiBYCCL8BEEQBEEQLAQRfoIgCIIgCBaCCD9BEARBEAQLQVq26QH0pQXh4eGkL5KTkykiIoKcnJzI2toy9Lsl7jOQ/bac8y3n2nLOtaWeb0vcZ0Ptt6I5FA3yPET46QGcXFCkSBF9rF4QBEEQBOG5GiRfvnyZv0lEVikvk4ZCjpT9w4cPyc3NjaysrPSm7CEs7927R+7u7mQJWOI+A9lvyznfcq4t51xb6vm2xH021H5DzkH0FSxY8IVWRbH46QEc8MKFC5MhwAVkSX88lrrPQPbbcpBzbVlY4vm2xH02xH6/yNKnYDkOdkEQBEEQBAtHhJ8gCIIgCIKFIMLPRHFwcKCJEyfyq6VgifsMZL8t53zLubacc22p59sS99nY9luSOwRBEARBECwEsfgJgiAIgiBYCCL8BEEQBEEQLAQRfoIgCIIgCBaCCD9BEARBEAQLQYSfCTJ37lwqXrw4OTo6Ur169ejo0aNkzuzdu5c6d+7M1cjRCWXNmjVkCUybNo3q1KnDHWB8fX2pa9eudOXKFTJnfv75Z6patapa5LRBgwa0efNmsjS++eYbvtZHjhxJ5sykSZN4P7WH8uXLk7nz4MEDeuutt8jLy4t7t1apUoWOHz9O5gzuWRnPNYZhw4aRuZKUlERffPEFlShRgs9zqVKl6Msvv3xpL119I8LPxFixYgWNGjWK08JPnjxJ1apVo7Zt21JgYCCZK1FRUbyfELyWxJ49e/hH8fDhw7R9+3ZKSEigNm3a8PEwV9DxBqLnxIkTfCNs2bIldenShS5cuECWwrFjx2j+/PksgC2BSpUq0aNHj9Rh//79ZM6EhoZSo0aNyM7Ojh9qLl68SN999x15enqSuV/X2ucZv2mgR48eZK5Mnz6dH2Z//PFHunTpEk9/++23NGfOnLzdMPTqFUyHunXrpgwbNkydTkpKSilYsGDKtGnTUiwBXLL//vtviiUSGBjI+79nz54US8LT0zNl0aJFKZZARERESpkyZVK2b9+e0qxZs5QRI0akmDMTJ05MqVatWoolMXbs2JTGjRunWDq4tkuVKpWSnJycYq507NgxZeDAgenmdevWLeXNN99MyUvE4mdCxMfHsyWkdevW6foCY/rQoUN5um2C/gkLC+PX/PnzW8Thhptk+fLlbOGEy9cSgIW3Y8eO6f7GzZ1r165xGEfJkiXpzTffpLt375I5s27dOqpduzZbuhDCUaNGDVq4cCFZ2r1s6dKlNHDgQHb3misNGzakHTt20NWrV3n6zJkzbNFu3759nm6XbZ5+u5Atnjx5wjdDPz+/dPMxffnyZTmaZkxycjLHe8FFVLlyZTJnzp07x0IvNjaWXF1d6d9//6WKFSuSuQORi/ANuMT+396dhkT1RnEcP1GpZYuRkiZoq0v4ohKKCKGwqF4IrZoFadRLsSyNyqAMsneRBS1CaIQVUkZkixFZVGAbGS1guGRBZbSIiiUR8+ccUNTqn4U1ee/3A1POzTvdcZy5vznneZ5xCx2jXFhYKJGRkdb+y8nJkbi4OHn8+LGNbXWi2tpaa//pkJ2tW7fa452eni4+Pj6SkpIibqDjtBsbGyU1NVWcbPPmzdLU1GTjVvv372/n7127dtkbHG8i+AF9pBKkJ0Onj39SGgIqKyutwnnq1Ck7Gep4RyeHv5cvX8q6dets3JNO2nKLzpUPHdOoQTA8PFyKi4tlzZo14tQ3cVrxy83Nteta8dPn9qFDh1wT/I4cOWKPvVZ6nay4uFiKiork+PHjNpZVX9f0Dbzeb28+1gS/PiQwMNDeNTQ0NHTZrteDg4O9dlz4s9LS0qS0tNRmN+vkB6fTyseECRPs69jYWKuI5OXl2YQHp9IhHDpBa+rUqR3btDqgj7kODG9ra7PnvtMFBARIRESEVFdXi1OFhIR88yYmOjpaTp8+LW5QX18vV65ckZKSEnG6rKwsq/otX77cruvsbb3/umKDN4MfY/z62AlRT4Q6ZqDzu0e97pYxUG6ic1k09Gmr8+rVq7YkgBvp77gGHyeLj4+3FrdWBNovWhXSlpB+7YbQp1paWqSmpsbCkVPpcI3uyzLpGDCtdLpBQUGBjW3UsaxO19raauPwO9Pnsr6meRMVvz5Gx4XoOwU9KUybNk327t1rg99Xr14tTj4ZdK4A1NXV2clQJzmEhYV59dj+dHtXWwRnz5618U5v3ryx7cOHD7c1oZxoy5Yt1gLSx7W5udnu/7Vr16SsrEycTB/f7mM3/f39bZ03J4/pzMzMtDU6NfS8evXKlqnSE2NycrI4VUZGhg3611ZvYmKircOan59vF6fTwKPBT89hAwY4P34kJCTYmD59PdNW74MHD2TPnj02qcWrvDqnGL9l//79nrCwMI+Pj48t71JRUeHon2R5ebktY9L9kpKS4nGy791nvRQUFHicSpc+CA8Pt9/toKAgT3x8vOfy5cseN3LDci5JSUmekJAQe7xDQ0PtenV1tcfpzp0754mJifH4+vp6oqKiPPn5+R43KCsrs9ewqqoqjxs0NTXZc1jP135+fp5x48Z5srOzPW1tbV49rn76h3ejJwAAAP4GxvgBAAC4BMEPAADAJQh+AAAALkHwAwAAcAmCHwAAgEsQ/AAAAFyC4AcAAOASBD8AAACXIPgBwG/Sj5Pr16+fNDY2euVnqJ/THR0dLV+/fv3p9166dEkmT57s9c8JBeBdBD8A6IFZs2bJ+vXru2zTz1x9/fq1fX6yN2zatEm2bdtmn2/7M/Pnz5eBAwdKUVHRXzk2AP8mgh8A/CYfHx8JDg62qt/fdvPmTampqZElS5b0eJ/U1FTZt2/fHz0uAP82gh8A9CAwXb9+XfLy8izk6eX58+fftHoLCwslICBASktLJTIyUgYPHixLly6V1tZWOXr0qIwZM0ZGjBgh6enpXdqzbW1tkpmZKaGhoeLv7y/Tp0+32/4/J0+elLlz54qfn1/HtocPH8rs2bNl6NChMmzYMImNjZV79+51/HtCQoJd18AIwJ0GePsAAOBfp4Hv2bNnEhMTIzt37rRtQUFBFv6605CnVTUNZs3NzbJ48WJZtGiRBcILFy5IbW2tVelmzpwpSUlJtk9aWpo8ffrU9hk9erScOXPGWrOPHj2SiRMnfveYbty4IStWrOiybeXKlTJlyhQ5ePCgtX8rKyutvdsuLCxMRo0aZfuOHz++l39KAPoCgh8A/ISO4dO2rlbwtLX7f758+WLBqz1YacXv2LFj0tDQIEOGDJFJkyZZVa68vNyC34sXL6SgoMD+1tCntPqnkzF0e25u7nf/n/r6+o7vb6e3kZWVJVFRUXb9e6FR99F9AbgTwQ8AepGGw87VNK2waYtXQ1/nbW/fvrWvtaqnbd+IiIgut6Pt35EjR/7w//n06VOXNq/asGGDrF271oLmnDlzZNmyZd9U9gYNGmRVSQDuRPADgF7UubWqdAzg97a1L6vS0tJibdn79+9/Mzu3c1jsLjAwUD5+/Nhl244dO6z9e/78ebl48aJs377d2sfaam734cMHa1MDcCeCHwD0gLZ6e7Je3q/SMXl6u1oBjIuL+6X9dFxgd1o51EtGRoYkJydbu7g9+H3+/Nkmdui+ANyJWb0A0AParr19+7ZN6Hj37l2vLYSsIU0nZaxatUpKSkqkrq5O7ty5I7t377bK3Y/MmzfPlnTp3PrVSSI6G1jH8N26dUvu3r1rCzy3q6ioEF9fX5kxY0avHDuAvofgBwA9oBMutBWrkzO0VaoTKXqLVuU0+G3cuNGWgVm4cKGFNp2F+yMaFp88eSJVVVV2XY/t/fv3djsaJhMTE2XBggWSk5PTsc+JEydsPx2HCMCd+nk8Ho+3DwIA8Ot0Bm9TU5McPnz4p9+rVUoNlbqO39ixY/lxAy5FxQ8A+qjs7GwJDw/vUdtZW9QHDhwg9AEuR8UPAADAJaj4AQAAuATBDwAAwCUIfgAAAC5B8AMAAHAJgh8AAIBLEPwAAABcguAHAADgEgQ/AAAAlyD4AQAAiDv8BxX0U1KE4EXZAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E_kinetic, E_gravity, E_spring, E_mech = [], [], [], []\n", "for t in range(N_STEPS + 1):\n", " x_t = states[t].reshape(-1, 1)\n", " v_t = (states[t] - states[max(t - 1, 0)]).reshape(-1, 1) / DT\n", " e_kinetic = 0.5 * (v_t.T @ M @ v_t).item()\n", " e_gravity = -(f_g.T @ (x_t - x_rest)).item()\n", " e_spring = simkit.energies.mass_springs_energy_z(x_t, G, k, ones, l0)\n", " e_total = e_kinetic + e_gravity + e_spring\n", " E_kinetic.append(e_kinetic); E_gravity.append(e_gravity); E_spring.append(e_spring); E_mech.append(e_total)\n", "\n", "times = DT * np.arange(N_STEPS + 1)\n", "fig, ax = utils.line_plot(times, {\"kinetic\": E_kinetic, \"gravitational\": E_gravity,\n", " \"spring\": E_spring, \"total\": E_mech},\n", " colors={\"kinetic\": \"#e6550d\", \"gravitational\": \"#2ca02c\",\n", " \"spring\": \"#1f77b4\", \"total\": \"k\"},\n", " xlabel=\"time (s)\", ylabel=\"energy\", title=\"energy of the falling cloth\",\n", " figsize=(7, 4))\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"energy.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_energy.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "39545a5c", "metadata": {}, "source": [ "The per-spring strain $(\\lVert x_i-x_j\\rVert - r_s)/r_s$ of the final pose (red = stretched, blue =\n", "compressed). The few springs next to the pins carry the whole cloth's weight and stretch the most, which\n", "is why the corner triangles look elongated in the video; the hanging part is barely strained." ] }, { "cell_type": "code", "execution_count": 12, "id": "34aeaf2d", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:01.389975Z", "iopub.status.busy": "2026-09-24T03:45:01.389910Z", "iopub.status.idle": "2026-09-24T03:45:01.476768Z", "shell.execute_reply": "2026-09-24T03:45:01.476460Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "strain range: -0.301 .. +1.649\n" ] } ], "source": [ "X_final = states[-1]\n", "strain = (simkit.edge_lengths(X_final, E).reshape(-1, 1) - l0) / l0\n", "s_max = np.abs(strain).max()\n", "fig, ax = plt.subplots(figsize=(5.8, 5.2))\n", "utils.plot_spring_network(ax, X_final, E, edge_values=strain, node_size=0, lw=1.0, cmap=\"coolwarm\",\n", " vmin=-s_max, vmax=s_max, label=\"strain\",\n", " title=f\"spring strain at t = {N_STEPS * DT:.0f} s\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"strain.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_strain.png\"))\n", "plt.show()\n", "print(f\"strain range: {strain.min():+.3f} .. {strain.max():+.3f}\")" ] }, { "cell_type": "markdown", "id": "4260ca90", "metadata": {}, "source": [ "## Why it is fast: Newton's Hessian is not constant\n", "\n", "Along the simulated trajectory we re-assemble Newton's spring Hessian $G^\\top H_\\text{spring}(x)\\,G$ and\n", "measure its relative change from the rest pose. It keeps changing as the cloth moves, so every Newton\n", "iteration needs a fresh assembly and factorization. The local/global spring matrix $G^\\top W G$ never\n", "changes." ] }, { "cell_type": "code", "execution_count": 13, "id": "d13ecfd7", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:01.477909Z", "iopub.status.busy": "2026-09-24T03:45:01.477831Z", "iopub.status.idle": "2026-09-24T03:45:01.694027Z", "shell.execute_reply": "2026-09-24T03:45:01.693703Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Newton spring Hessian changes by up to 32% of its rest norm; G^T W G by 0%\n" ] } ], "source": [ "H_rest = simkit.energies.mass_springs_hessian_z(x_rest, G, k, ones, l0, psd=True)\n", "sample_steps = np.arange(0, N_STEPS + 1, HESS_EVERY)\n", "drift_newton = []\n", "for t in sample_steps:\n", " H_t = simkit.energies.mass_springs_hessian_z(states[t].reshape(-1, 1), G, k, ones, l0, psd=True)\n", " drift_newton.append(sp.sparse.linalg.norm(H_t - H_rest) / sp.sparse.linalg.norm(H_rest))\n", "drift_constant = np.zeros(len(sample_steps)) # G^T W G is the same matrix at every step\n", "\n", "fig, ax = utils.line_plot(DT * sample_steps, {\"Newton $G^T H_{spring}(x) G$\": drift_newton,\n", " \"local/global $G^T W G$\": drift_constant},\n", " colors={\"Newton $G^T H_{spring}(x) G$\": \"#d62728\",\n", " \"local/global $G^T W G$\": \"#1f77b4\"},\n", " xlabel=\"time (s)\", ylabel=r\"$\\|H(t) - H(0)\\|_F \\,/\\, \\|H(0)\\|_F$\",\n", " title=\"relative change of the spring Hessian\", markers=True, figsize=(7, 4))\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"hessian_drift.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_hessian_drift.png\"))\n", "plt.show()\n", "print(f\"Newton spring Hessian changes by up to {100 * max(drift_newton):.0f}% of its rest norm; G^T W G by 0%\")" ] }, { "cell_type": "markdown", "id": "d67b3d2c", "metadata": {}, "source": [ "## Convergence and cost of one step\n", "\n", "We solve step `CONV_STEP` both ways from the same start $x_n$ and plot the energy gap to the minimum\n", "$E^*$. Per iteration (left), local/global converges only linearly and Newton quadratically. But a Newton\n", "iteration assembles and factorizes a new Hessian, while a local/global one is a projection plus a\n", "back-substitution: in wall-clock time (right, the one-off factorization of $A$ amortized over the run)\n", "local/global gets there first, and a whole simulation step of `N_INNER` iterations costs less than one\n", "Newton iteration." ] }, { "cell_type": "code", "execution_count": 14, "id": "db6446ab", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:01.695228Z", "iopub.status.busy": "2026-09-24T03:45:01.695149Z", "iopub.status.idle": "2026-09-24T03:45:01.984565Z", "shell.execute_reply": "2026-09-24T03:45:01.983762Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "one iteration: local/global 0.08 ms Newton 6.54 ms (84x)\n", "one step (8 iterations): local/global 0.6 ms refactorizing Newton 52.3 ms\n", "to a gap of 1e-06: local/global 37 iterations = 2.9 ms Newton 3 iterations = 19.6 ms\n", "gap after the 8 local/global iterations of a simulation step: 2.5e-02 (initial gap 9.3e+02)\n" ] } ], "source": [ "x_prev = states[CONV_STEP - 1].reshape(-1, 1)\n", "x_curr = states[CONV_STEP].reshape(-1, 1)\n", "v_curr = (x_curr - x_prev) / DT\n", "x_tilde = x_curr + DT * v_curr # this step's momentum target\n", "energy_func, gradient_func, hessian_func = cloth_step_system(x_tilde)\n", "newton_iteration = lambda x: simkit.solvers.newton_solver(x, energy_func, gradient_func, hessian_func,\n", " max_iter=1, do_line_search=True)\n", "x = x_curr.copy()\n", "E_newton = [energy_func(x)]\n", "for _ in range(NEWTON_ITERS):\n", " x = newton_iteration(x)\n", " E_newton.append(energy_func(x))\n", "x = x_curr.copy()\n", "E_local_global = [energy_func(x)]\n", "for _ in range(CONV_ITERS):\n", " x = global_step(x, local_step(x), x_tilde)\n", " E_local_global.append(energy_func(x))\n", "E_star = min(min(E_newton), min(E_local_global))\n", "\n", "t_lg = utils.best_time(lambda: global_step(x_curr, local_step(x_curr), x_tilde), inner=TIMING_INNER,\n", " rep=TIMING_REPS)\n", "t_newton = utils.best_time(lambda: newton_iteration(x_curr), inner=1, rep=TIMING_REPS)\n", "\n", "gap_lg = np.array(E_local_global) - E_star\n", "gap_newton = np.array(E_newton) - E_star\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4.2))\n", "series = {\"local/global\": gap_lg, \"Newton\": gap_newton}\n", "colors = {\"local/global\": \"#1f77b4\", \"Newton\": \"#d62728\"}\n", "utils.residual_plot(series, ax=axes[0], colors=colors, markers=True, stagger=False,\n", " xlabel=\"iteration\", ylabel=\"$E(x_k) - E^*$\", title=\"energy gap per iteration\")\n", "axes[0].axvline(N_INNER, color=\"0.4\", ls=\"--\", lw=1)\n", "axes[0].text(N_INNER + 0.8, gap_lg[1], f\"N_INNER = {N_INNER}\", fontsize=9, color=\"0.3\")\n", "for name, gap, t_iter in ((\"local/global\", gap_lg, t_lg), (\"Newton\", gap_newton, t_newton)):\n", " wall_ms = 1e3 * t_iter * np.arange(len(gap))\n", " axes[1].semilogy(wall_ms, np.where(gap > 0, gap, np.nan), \"-o\", ms=4, lw=2, color=colors[name], label=name)\n", "axes[1].set_xlabel(\"wall-clock time (ms)\")\n", "axes[1].set_ylabel(\"$E(x_k) - E^*$\")\n", "axes[1].set_title(\"energy gap vs. time\")\n", "axes[1].grid(True, which=\"both\", color=\"0.9\", linewidth=0.7)\n", "axes[1].legend(fontsize=9)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"convergence.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"022_convergence.png\"))\n", "plt.show()\n", "print(f\"one iteration: local/global {1e3 * t_lg:6.2f} ms Newton {1e3 * t_newton:6.2f} ms \"\n", " f\"({t_newton / t_lg:.0f}x)\")\n", "print(f\"one step ({N_INNER} iterations): local/global {1e3 * N_INNER * t_lg:6.1f} ms \"\n", " f\"refactorizing Newton {1e3 * N_INNER * t_newton:6.1f} ms\")\n", "it_lg = int(np.argmax(gap_lg <= GAP_TOL))\n", "it_newton = int(np.argmax(gap_newton <= GAP_TOL))\n", "print(f\"to a gap of {GAP_TOL:g}: local/global {it_lg} iterations = {1e3 * it_lg * t_lg:.1f} ms \"\n", " f\"Newton {it_newton} iterations = {1e3 * it_newton * t_newton:.1f} ms\")\n", "print(f\"gap after the {N_INNER} local/global iterations of a simulation step: {gap_lg[N_INNER]:.1e} \"\n", " f\"(initial gap {gap_lg[0]:.1e})\")" ] }, { "cell_type": "markdown", "id": "12be1665", "metadata": {}, "source": [ "## Takeaways\n", "\n", "* **The split makes the system matrix constant.** An auxiliary direction per spring turns the global\n", " step into a quadratic solve with the fixed matrix $M/h^2 + G^\\top W G$ (plus the pins). Factor it once;\n", " every step and every inner iteration is then a back-substitution.\n", "* **This is the machinery of tutorial 21.** Local step = closed-form per-element projection (a spring\n", " onto its rest length, as ARAP projects a triangle onto its closest rotation). Global step = one\n", " prefactored linear solve. `simkit.solvers.block_coord` drives both.\n", "* **Implicit + prefactored = fast and stable.** A big timestep stays stable, and a step costs a few\n", " sparse back-substitutions instead of repeated factorizations: the win reported by Liu et al. (2013)." ] } ], "metadata": { "kernelspec": { "display_name": "simkit", "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }