{ "cells": [ { "cell_type": "markdown", "id": "a7630e0a", "metadata": {}, "source": [ "# Using Slotted Aloha Simulator" ] }, { "cell_type": "markdown", "id": "1d16a6b3", "metadata": {}, "source": [ "## Basic usage" ] }, { "cell_type": "markdown", "id": "555a602c", "metadata": {}, "source": [ "Create an Aloha instance with your desired settings:" ] }, { "cell_type": "code", "execution_count": 1, "id": "e0e99111", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:52:08.421618Z", "start_time": "2024-02-28T17:52:07.737983Z" } }, "outputs": [], "source": [ "from slotted_aloha_simulator import Aloha\n", "aloha = Aloha(p0=1/8, alpha=1/2, n=10, t_sim=20)" ] }, { "cell_type": "markdown", "id": "5fe248fe", "metadata": {}, "source": [ "Call the instance to run things!" ] }, { "cell_type": "code", "execution_count": 2, "id": "74e66cd3", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:52:12.484818Z", "start_time": "2024-02-28T17:52:08.423624Z" } }, "outputs": [], "source": [ "aloha()" ] }, { "cell_type": "markdown", "id": "47c2fc54", "metadata": {}, "source": [ "Results are in a `res_` attribute:" ] }, { "cell_type": "code", "execution_count": 3, "id": "04c2890f", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:52:12.493524Z", "start_time": "2024-02-28T17:52:12.485822Z" } }, "outputs": [ { "data": { "text/plain": [ "{'state_distribution': array([2.53619648e-01, 1.89296722e-01, 1.41287354e-01, 1.05454105e-01,\n", " 7.87088721e-02, 5.87467557e-02, 4.38474242e-02, 3.27268559e-02,\n", " 2.44266822e-02, 1.82315957e-02, 1.36077048e-02, 1.01565235e-02,\n", " 7.58062958e-03, 5.65803297e-03, 4.22304464e-03, 3.15199755e-03,\n", " 2.35258904e-03, 1.75592624e-03, 1.31058884e-03, 9.78197761e-04,\n", " 7.30107589e-04, 5.44937959e-04, 4.06730986e-04, 3.03576016e-04,\n", " 2.26583174e-04, 1.69117229e-04, 1.26225777e-04, 9.42124399e-05,\n", " 7.03183141e-05, 5.24842080e-05, 3.91731816e-05, 2.92380931e-05,\n", " 2.18227382e-05, 1.62880630e-05, 1.21570902e-05, 9.07381328e-06,\n", " 6.77251595e-06, 5.05487284e-06, 3.77285777e-06, 2.81598691e-06]),\n", " 'occupancy': 0.40489263200636727,\n", " 'goodput': 0.3170245599787759,\n", " 'efficiency': 0.6268098239915103}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = aloha.res_\n", "res['mf_asymptotic']" ] }, { "cell_type": "code", "execution_count": 4, "id": "ce62b34a", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:52:12.507452Z", "start_time": "2024-02-28T17:52:12.496740Z" } }, "outputs": [ { "data": { "text/plain": [ "{'state_distribution': array([[1.00000000e+000, 8.74551053e-001, 6.90740477e-001,\n", " 4.86430241e-001, 3.44169032e-001, 2.92794775e-001,\n", " 2.78772181e-001, 2.71260433e-001, 2.66179491e-001,\n", " 2.62640880e-001, 2.60140824e-001, 2.58357927e-001,\n", " 2.57077472e-001, 2.56152493e-001, 2.55480933e-001,\n", " 2.54991208e-001, 2.54632703e-001, 2.54369380e-001,\n", " 2.54175412e-001, 2.54032185e-001, 2.53926208e-001],\n", " [0.00000000e+000, 1.23585806e-001, 2.84164899e-001,\n", " 4.12755784e-001, 4.14274894e-001, 3.19428723e-001,\n", " 2.52578547e-001, 2.27581903e-001, 2.15177781e-001,\n", " 2.07375538e-001, 2.02145970e-001, 1.98531815e-001,\n", " 1.95987298e-001, 1.94173140e-001, 1.92867700e-001,\n", " 1.91921606e-001, 1.91232042e-001, 1.90727140e-001,\n", " 1.90356065e-001, 1.90082513e-001, 1.89880353e-001],\n", " [0.00000000e+000, 1.86314016e-003, 2.45339643e-002,\n", " 9.41183474e-002, 2.05681980e-001, 2.75096769e-001,\n", " 2.46719127e-001, 1.98263304e-001, 1.75389203e-001,\n", " 1.64135540e-001, 1.57207060e-001, 1.52602255e-001,\n", " 1.49429305e-001, 1.47195919e-001, 1.45601706e-001,\n", " 1.44452405e-001, 1.43617713e-001, 1.43008055e-001,\n", " 1.42560772e-001, 1.42231452e-001, 1.41988299e-001],\n", " [0.00000000e+000, 0.00000000e+000, 5.57056213e-004,\n", " 6.53963238e-003, 3.38655669e-002, 9.90402967e-002,\n", " 1.67685757e-001, 1.74864753e-001, 1.47594606e-001,\n", " 1.30924784e-001, 1.22531485e-001, 1.17384986e-001,\n", " 1.13960789e-001, 1.11594401e-001, 1.09922853e-001,\n", " 1.08725410e-001, 1.07859240e-001, 1.07228261e-001,\n", " 1.06766166e-001, 1.06426367e-001, 1.06175699e-001],\n", " [0.00000000e+000, 0.00000000e+000, 3.59677207e-006,\n", " 1.54661584e-004, 1.96513905e-003, 1.29843743e-002,\n", " 4.86154243e-002, 1.00471823e-001, 1.19784260e-001,\n", " 1.07025592e-001, 9.61638446e-002, 9.04724219e-002,\n", " 8.69674036e-002, 8.46227535e-002, 8.29936094e-002,\n", " 8.18370782e-002, 8.10049214e-002, 8.04006892e-002,\n", " 7.99591033e-002, 7.96348341e-002, 7.93958489e-002],\n", " [0.00000000e+000, 0.00000000e+000, 6.36465872e-009,\n", " 1.32916218e-006, 4.30141235e-005, 6.42368222e-004,\n", " 5.39084036e-003, 2.50095271e-002, 6.10026420e-002,\n", " 8.14102387e-002, 7.67869943e-002, 7.01404264e-002,\n", " 6.64790552e-002, 6.42054764e-002, 6.26736786e-002,\n", " 6.16026313e-002, 6.08382080e-002, 6.02857004e-002,\n", " 5.98830173e-002, 5.95878176e-002, 5.93704957e-002],\n", " [0.00000000e+000, 0.00000000e+000, 2.38945304e-012,\n", " 4.30333393e-009, 3.72656534e-007, 1.25914087e-005,\n", " 2.33963021e-004, 2.45066813e-003, 1.36098975e-002,\n", " 3.79839753e-002, 5.55842711e-002, 5.49770780e-002,\n", " 5.10661826e-002, 4.87826569e-002, 4.73507571e-002,\n", " 4.63787277e-002, 4.56947953e-002, 4.52041268e-002,\n", " 4.48479745e-002, 4.45875017e-002, 4.43960183e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 5.34118705e-012, 1.32022732e-009, 1.01595468e-007,\n", " 4.13002837e-006, 9.60244573e-005, 1.21731686e-003,\n", " 7.82633867e-003, 2.43231166e-002, 3.83247606e-002,\n", " 3.94498997e-002, 3.72128370e-002, 3.58154705e-002,\n", " 3.49304935e-002, 3.43253842e-002, 3.38971261e-002,\n", " 3.35884275e-002, 3.33635018e-002, 3.31984966e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 2.55332796e-015, 1.95595157e-012, 3.46978691e-010,\n", " 3.06268129e-008, 1.55382625e-006, 4.41313619e-005,\n", " 6.54410260e-004, 4.72784371e-003, 1.59946440e-002,\n", " 2.67246223e-002, 2.84258815e-002, 2.71778193e-002,\n", " 2.63330152e-002, 2.57929016e-002, 2.54211699e-002,\n", " 2.51567068e-002, 2.49652798e-002, 2.48253366e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 4.67470158e-019, 1.23107117e-015, 5.11984205e-013,\n", " 9.77934768e-011, 1.06844679e-008, 6.67011147e-007,\n", " 2.23793204e-005, 3.76105716e-004, 2.97804937e-003,\n", " 1.07670171e-002, 1.88416639e-002, 2.05802418e-002,\n", " 1.99028721e-002, 1.93962273e-002, 1.90694749e-002,\n", " 1.88432952e-002, 1.86816545e-002, 1.85642340e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 3.22412167e-023, 3.32929305e-019, 3.31448532e-016,\n", " 1.36994655e-013, 3.19308050e-011, 4.31403175e-009,\n", " 3.21070400e-007, 1.23130855e-005, 2.28303581e-004,\n", " 1.94161762e-003, 7.39308199e-003, 1.34163728e-002,\n", " 1.49701277e-002, 1.46157508e-002, 1.43136241e-002,\n", " 1.41172184e-002, 1.39805971e-002, 1.38825846e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 8.11816579e-028, 3.90085936e-023, 9.52642234e-020,\n", " 8.54162809e-017, 4.22031377e-014, 1.21935058e-011,\n", " 1.98007768e-009, 1.69842248e-007, 7.23486685e-006,\n", " 1.44800574e-004, 1.30167823e-003, 5.16036928e-003,\n", " 9.63562266e-003, 1.09362606e-002, 1.07611096e-002,\n", " 1.05817133e-002, 1.04642411e-002, 1.03821893e-002],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 7.05110087e-033, 1.99217815e-027, 1.22705438e-023,\n", " 2.39741402e-020, 2.50078789e-017, 1.53125124e-014,\n", " 5.35511129e-012, 1.01014990e-009, 9.68932073e-008,\n", " 4.47835578e-006, 9.50921649e-005, 8.92356984e-004,\n", " 3.65049026e-003, 6.97063925e-003, 8.01964351e-003,\n", " 7.94154582e-003, 7.83539797e-003, 7.76541769e-003],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 1.89018156e-038, 4.45369338e-032, 7.13671310e-028,\n", " 3.05679413e-024, 6.71606676e-021, 8.65579889e-018,\n", " 6.45289457e-015, 2.64080629e-012, 5.60731147e-010,\n", " 5.86642939e-008, 2.88782312e-006, 6.41851935e-005,\n", " 6.22715368e-004, 2.61051857e-003, 5.07319272e-003,\n", " 5.89995252e-003, 5.87262206e-003, 5.81001115e-003],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 1.17946042e-044, 4.37101007e-037, 1.88593414e-032,\n", " 1.78382286e-028, 8.24662100e-025, 2.22564216e-021,\n", " 3.50855837e-018, 3.08168752e-015, 1.42864969e-012,\n", " 3.32587114e-010, 3.72063022e-008, 1.92265600e-006,\n", " 4.42677341e-005, 4.40718485e-004, 1.88316621e-003,\n", " 3.71056841e-003, 4.35237241e-003, 4.35017586e-003],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.88634287e-042, 2.27610409e-037,\n", " 4.79404856e-033, 4.66347290e-029, 2.62539922e-025,\n", " 8.69587203e-022, 1.62516179e-018, 1.62684659e-015,\n", " 8.31089950e-013, 2.07701441e-010, 2.44638683e-008,\n", " 1.31236367e-006, 3.10518324e-005, 3.15413558e-004,\n", " 1.36800094e-003, 2.72491851e-003, 3.21800807e-003],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 3.58140197e-048, 1.26004227e-042,\n", " 5.96493248e-038, 1.22195759e-033, 1.43085896e-029,\n", " 9.90664174e-026, 3.91193624e-022, 8.38055359e-019,\n", " 9.29029488e-016, 5.11495689e-013, 1.34990118e-010,\n", " 1.65419502e-008, 9.13361321e-007, 2.20726057e-005,\n", " 2.27738146e-004, 9.99337621e-004, 2.00765452e-003],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 2.98964939e-054, 3.21153078e-048,\n", " 3.45160715e-043, 1.49128918e-038, 3.62445068e-034,\n", " 5.22367287e-030, 4.33339365e-026, 1.97227391e-022,\n", " 4.70144116e-019, 5.63854657e-016, 3.28801813e-013,\n", " 9.04812986e-011, 1.14308309e-008, 6.45375472e-007,\n", " 1.58543522e-005, 1.65587155e-004, 7.33291020e-004],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.09541615e-060, 3.78048812e-054,\n", " 9.32499201e-049, 8.51451833e-044, 4.28877706e-039,\n", " 1.28232284e-034, 2.22415778e-030, 2.13764504e-026,\n", " 1.08758798e-022, 2.81539960e-019, 3.58674718e-016,\n", " 2.18572707e-013, 6.21115829e-011, 8.03330546e-009,\n", " 4.61449213e-007, 1.14816131e-005, 1.21065123e-004],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.75657518e-067, 2.06098422e-060,\n", " 1.18024580e-054, 2.28314321e-049, 2.38106179e-044,\n", " 1.47284384e-039, 5.31990439e-035, 1.07424085e-030,\n", " 1.15930647e-026, 6.42885238e-023, 1.77289781e-019,\n", " 2.36552582e-016, 1.49105389e-013, 4.34316202e-011,\n", " 5.72020362e-009, 3.33010734e-007, 8.36869214e-006],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.22753348e-074, 5.21569346e-067,\n", " 7.01945329e-061, 2.88508525e-055, 6.22601698e-050,\n", " 7.94924062e-045, 5.95910253e-040, 2.51731565e-035,\n", " 5.73230174e-031, 6.76687034e-027, 4.00890735e-023,\n", " 1.16038784e-019, 1.60410086e-016, 1.03769161e-013,\n", " 3.08078609e-011, 4.11503458e-009, 2.42072032e-007],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 3.71650467e-082, 6.13960631e-074,\n", " 1.96699920e-067, 1.72323659e-061, 7.69324931e-056,\n", " 2.02366230e-050, 3.13939587e-045, 2.76414060e-040,\n", " 1.32223297e-035, 3.30505524e-031, 4.17971401e-027,\n", " 2.60460788e-023, 7.82368129e-020, 1.11133058e-016,\n", " 7.33430750e-014, 2.20980931e-011, 2.98405819e-009],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 4.83688472e-090, 3.36759523e-081,\n", " 2.60324200e-074, 4.87819030e-068, 4.50569455e-062,\n", " 2.43799550e-056, 7.80755905e-051, 1.42824007e-045,\n", " 1.42966759e-040, 7.53253502e-036, 2.02257512e-031,\n", " 2.69617083e-027, 1.74636065e-023, 5.39677927e-020,\n", " 7.82786619e-017, 5.24637634e-014, 1.59888478e-011],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 2.67796517e-098, 8.61993622e-089,\n", " 1.63067784e-081, 6.56065766e-075, 1.25406662e-068,\n", " 1.39407980e-062, 9.19628831e-057, 3.48548067e-051,\n", " 7.27661260e-046, 8.04938043e-041, 4.56796694e-036,\n", " 1.29558270e-031, 1.79799819e-027, 1.19958429e-023,\n", " 3.78880880e-020, 5.58481354e-017, 3.78799870e-014],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 6.22029826e-107, 1.03098607e-096,\n", " 4.84404391e-089, 4.20103285e-082, 1.66273888e-075,\n", " 3.79353549e-069, 5.14520894e-063, 4.03048279e-057,\n", " 1.74977200e-051, 4.04996556e-046, 4.83814533e-041,\n", " 2.90608659e-036, 8.59437238e-032, 1.23001591e-027,\n", " 8.39487933e-024, 2.69636537e-020, 4.02431966e-017],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 5.94788382e-116, 5.76821244e-105,\n", " 6.83594489e-097, 1.28334196e-089, 1.05247063e-082,\n", " 4.92413100e-076, 1.37093880e-069, 2.21482651e-063,\n", " 1.99432199e-057, 9.62920354e-052, 2.41308903e-046,\n", " 3.05736633e-041, 1.91784794e-036, 5.85603979e-032,\n", " 8.58123771e-028, 5.95989492e-024, 1.93924143e-020],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 2.27981288e-125, 1.51101047e-113,\n", " 4.59023809e-105, 1.87364747e-097, 3.18662132e-090,\n", " 3.05543486e-083, 1.74371703e-076, 5.79874300e-070,\n", " 1.08048437e-063, 1.08536598e-057, 5.68829826e-052,\n", " 1.51487426e-046, 2.00748888e-041, 1.30169804e-036,\n", " 4.07317110e-032, 6.07789670e-028, 4.27848858e-024],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 3.36756834e-135, 1.85463564e-122,\n", " 1.46876826e-113, 1.30950691e-105, 4.62341669e-098,\n", " 9.08069308e-091, 1.06095825e-083, 7.25021291e-077,\n", " 2.78976722e-070, 5.81635353e-064, 6.35765859e-058,\n", " 3.54786369e-052, 9.89739652e-047, 1.35734005e-041,\n", " 9.02729491e-037, 2.87833775e-032, 4.35540106e-028],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.79954915e-145, 1.06727323e-131,\n", " 2.24251112e-122, 4.38792498e-114, 3.21973612e-106,\n", " 1.29490741e-098, 3.09401859e-091, 4.33816241e-084,\n", " 3.44072116e-077, 1.48568266e-070, 3.37874409e-064,\n", " 3.94008469e-058, 2.30666618e-052, 6.66692184e-047,\n", " 9.38599800e-042, 6.36495471e-037, 2.05901932e-032],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 3.09618039e-156, 2.88082652e-141,\n", " 1.63573753e-131, 7.05907421e-123, 1.07784829e-114,\n", " 8.87440673e-107, 4.33226881e-099, 1.24460555e-091,\n", " 2.03129822e-084, 1.81302375e-077, 8.55982142e-071,\n", " 2.08078098e-064, 2.54934295e-058, 1.54804786e-052,\n", " 4.59710363e-047, 6.60338677e-042, 4.54543805e-037],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 1.28785374e-167, 3.64856476e-151,\n", " 5.70666461e-141, 5.45925692e-132, 1.73692116e-123,\n", " 2.92732986e-115, 2.91727852e-107, 1.71510001e-099,\n", " 5.75134217e-092, 1.05922957e-084, 1.03615236e-077,\n", " 5.23883130e-071, 1.33993164e-064, 1.70469597e-058,\n", " 1.06446344e-052, 3.22728150e-047, 4.70787139e-042],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 2.16856189e-161,\n", " 9.53223591e-151, 2.03205739e-141, 1.34911167e-132,\n", " 4.65411142e-124, 9.46143211e-116, 1.13704351e-107,\n", " 7.82336041e-100, 2.96832376e-092, 6.00532019e-085,\n", " 6.30268072e-078, 3.35776718e-071, 8.92774910e-065,\n", " 1.16895829e-058, 7.45702094e-053, 2.29713216e-047],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 6.04910748e-172,\n", " 7.63080897e-161, 3.64450088e-151, 5.05686396e-142,\n", " 3.57101370e-133, 1.47995856e-124, 3.63193041e-116,\n", " 5.12083781e-108, 3.99688355e-100, 1.66964925e-092,\n", " 3.63078833e-085, 4.02092226e-078, 2.22930947e-071,\n", " 6.10543131e-065, 8.17202864e-059, 5.29929531e-053],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 7.91861854e-183,\n", " 2.93020723e-171, 3.15275385e-161, 9.15724190e-152,\n", " 1.32389419e-142, 1.11791652e-133, 5.59712214e-125,\n", " 1.61529674e-116, 2.59008031e-108, 2.23071019e-100,\n", " 1.00341880e-092, 2.30572792e-085, 2.66026008e-078,\n", " 1.52048505e-071, 4.25947743e-065, 5.79825569e-059],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 4.86361175e-194,\n", " 5.40179841e-182, 1.31677837e-171, 8.01955765e-162,\n", " 2.37412780e-152, 4.08273044e-143, 4.16686558e-134,\n", " 2.45877472e-125, 8.08954932e-117, 1.43443342e-108,\n", " 1.33266132e-100, 6.34332766e-093, 1.52020423e-085,\n", " 1.80961919e-078, 1.05862694e-071, 3.01750896e-065],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 1.40111984e-205,\n", " 4.78437519e-193, 2.65766259e-182, 3.39986480e-172,\n", " 2.06155143e-162, 7.21693671e-153, 1.50031851e-143,\n", " 1.80837563e-134, 1.21939479e-125, 4.44603736e-117,\n", " 8.51927435e-109, 8.38691360e-101, 4.16794616e-093,\n", " 1.03140476e-085, 1.25741757e-078, 7.48805621e-072],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 1.89232307e-217,\n", " 2.03736957e-204, 2.59430555e-193, 6.98385548e-183,\n", " 8.67650839e-173, 6.18107133e-163, 2.61555447e-153,\n", " 6.43386351e-144, 8.88218563e-135, 6.65134236e-126,\n", " 2.62521849e-117, 5.33766039e-109, 5.49202825e-101,\n", " 2.82049441e-093, 7.15258265e-086, 8.88071530e-079],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 1.19744147e-229,\n", " 4.17408530e-216, 1.22581217e-204, 6.95703392e-194,\n", " 1.77154411e-183, 2.56745361e-173, 2.21001970e-163,\n", " 1.10852007e-153, 3.13010622e-144, 4.80877203e-135,\n", " 3.90476721e-126, 1.63755984e-117, 3.48353995e-109,\n", " 3.70700248e-101, 1.95213365e-093, 5.04407191e-086],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 3.54750544e-242,\n", " 4.11688660e-228, 2.80566212e-216, 3.36356146e-205,\n", " 1.75625207e-194, 5.17681859e-184, 9.05937108e-174,\n", " 9.25865469e-164, 5.34239284e-154, 1.68211136e-144,\n", " 2.80695737e-135, 2.42508383e-126, 1.06517042e-117,\n", " 2.34535271e-109, 2.56074424e-101, 1.37462741e-093],\n", " [0.00000000e+000, 0.00000000e+000, 0.00000000e+000,\n", " 0.00000000e+000, 0.00000000e+000, 4.91590406e-255,\n", " 1.95588445e-240, 3.11289127e-228, 7.89863624e-217,\n", " 8.46057290e-206, 5.07124729e-195, 1.80327218e-184,\n", " 3.75232784e-174, 4.42071857e-164, 2.84999198e-154,\n", " 9.76322876e-145, 1.73573312e-135, 1.57221809e-126,\n", " 7.15341385e-118, 1.61703124e-109, 1.80055050e-101]]),\n", " 'occupancy': array([0.73692442, 0.71218781, 0.66976665, 0.60906468, 0.545789 ,\n", " 0.49916815, 0.4691501 , 0.44950457, 0.43629253, 0.42722711,\n", " 0.42091373, 0.4164653 , 0.41330079, 0.41103143, 0.40939287,\n", " 0.40820289, 0.40733442, 0.40669797, 0.40622994, 0.40588477,\n", " 0.40562961]),\n", " 'goodput': array([0.37582225, 0.38173297, 0.38692288, 0.38496695, 0.37298462,\n", " 0.35857214, 0.34704735, 0.33861698, 0.332569 , 0.32824798,\n", " 0.32515792, 0.32294132, 0.32134485, 0.32019001, 0.319351 ,\n", " 0.31873898, 0.31829089, 0.31796174, 0.31771927, 0.31754024,\n", " 0.31740776]),\n", " 'efficiency': array([0.3006578 , 0.32598548, 0.36892564, 0.42943201, 0.49150946,\n", " 0.53668907, 0.56555463, 0.58435713, 0.59696437, 0.60559769,\n", " 0.61160207, 0.61582883, 0.6188337 , 0.62098757, 0.62254223,\n", " 0.62367101, 0.62449467, 0.6250982 , 0.62554199, 0.62586925,\n", " 0.62611117])}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = aloha.res_\n", "res['mf']" ] }, { "cell_type": "code", "execution_count": 5, "id": "2f0dd50b", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:52:12.517405Z", "start_time": "2024-02-28T17:52:12.509458Z" } }, "outputs": [ { "data": { "text/plain": [ "{'state_distribution': array([[1.00000000e+00, 8.76344086e-01, 6.93101761e-01, 4.91323529e-01,\n", " 3.46702756e-01, 2.93105159e-01, 2.71875000e-01, 2.88020833e-01,\n", " 2.83370536e-01, 2.57096354e-01, 2.85156250e-01, 2.82666016e-01,\n", " 2.72460938e-01, 2.59790039e-01, 2.51531982e-01, 2.52859497e-01,\n", " 2.52604675e-01, 2.59167480e-01, 2.56418228e-01, 2.54695511e-01,\n", " 2.56568909e-01],\n", " [0.00000000e+00, 1.21505376e-01, 2.81017613e-01, 4.11078431e-01,\n", " 4.21309055e-01, 3.21974206e-01, 2.66481855e-01, 2.46927083e-01,\n", " 2.42410714e-01, 2.02669271e-01, 2.37890625e-01, 2.01416016e-01,\n", " 2.08227539e-01, 1.85876465e-01, 1.78369141e-01, 1.78430176e-01,\n", " 1.83358765e-01, 1.88743591e-01, 1.90755463e-01, 1.82723618e-01,\n", " 1.84367847e-01],\n", " [0.00000000e+00, 2.15053763e-03, 2.56849315e-02, 9.15686275e-02,\n", " 2.01476378e-01, 2.76488095e-01, 2.69254032e-01, 1.75416667e-01,\n", " 1.94252232e-01, 1.27799479e-01, 1.56054688e-01, 1.31884766e-01,\n", " 1.67871094e-01, 1.30285645e-01, 1.39593506e-01, 1.24621582e-01,\n", " 1.24688721e-01, 1.38431549e-01, 1.36970901e-01, 1.28428841e-01,\n", " 1.31726360e-01],\n", " [0.00000000e+00, 0.00000000e+00, 1.95694716e-04, 6.02941176e-03,\n", " 2.91338583e-02, 9.52876984e-02, 1.53679435e-01, 1.81093750e-01,\n", " 1.15234375e-01, 1.26106771e-01, 1.52929687e-01, 1.20410156e-01,\n", " 1.35693359e-01, 9.74487305e-02, 1.02496338e-01, 8.53485107e-02,\n", " 9.58694458e-02, 1.03511047e-01, 1.01998138e-01, 9.40889359e-02,\n", " 9.81206894e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.37795276e-03, 1.24503968e-02, 3.80544355e-02, 7.90625000e-02,\n", " 8.99553571e-02, 8.35286458e-02, 5.64453125e-02, 1.08007812e-01,\n", " 7.70751953e-02, 8.69628906e-02, 7.57873535e-02, 6.77154541e-02,\n", " 7.71728516e-02, 7.61596680e-02, 8.02711487e-02, 7.31893539e-02,\n", " 7.52110481e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 6.94444444e-04, 6.55241935e-04, 2.17187500e-02,\n", " 5.97098214e-02, 1.51757813e-01, 7.10937500e-02, 9.21386719e-02,\n", " 1.30737305e-01, 4.04174805e-02, 5.53466797e-02, 6.79565430e-02,\n", " 5.69229126e-02, 6.18156433e-02, 5.95516205e-02, 5.94156265e-02,\n", " 5.83081245e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 5.83333333e-03,\n", " 1.03236607e-02, 5.10416667e-02, 4.04296875e-02, 6.03027344e-02,\n", " 7.93457031e-03, 4.10644531e-02, 4.71130371e-02, 3.30108643e-02,\n", " 3.19046021e-02, 4.47433472e-02, 4.90924835e-02, 4.31854248e-02,\n", " 4.63894844e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 1.92708333e-03,\n", " 4.74330357e-03, 0.00000000e+00, 0.00000000e+00, 3.17382812e-03,\n", " 0.00000000e+00, 1.10339355e-01, 1.51550293e-02, 3.50158691e-02,\n", " 3.07342529e-02, 3.10356140e-02, 3.89877319e-02, 3.21643829e-02,\n", " 3.68480682e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 4.78149414e-02, 4.39208984e-02, 6.51000977e-02,\n", " 3.00582886e-02, 3.13995361e-02, 3.67317200e-02, 3.22074890e-02,\n", " 2.65722275e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 3.25805664e-02, 8.74938965e-03,\n", " 6.21505737e-02, 9.92355347e-03, 1.51599884e-02, 3.46288681e-02,\n", " 3.05712700e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 5.81054688e-02, 7.59521484e-02,\n", " 6.08978271e-03, 1.21215820e-02, 2.73197174e-02, 1.75716400e-02,\n", " 1.48892403e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 5.23986816e-03,\n", " 2.18826294e-02, 2.90977478e-02, 3.58276367e-03, 7.97100067e-03,\n", " 1.17001534e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 2.65625000e-02, 1.38496399e-02, 3.16009521e-03, 3.97293091e-02,\n", " 2.21136093e-02],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.77631378e-03],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 4.83665466e-03],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00],\n", " [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00]]),\n", " 'occupancy': array([0.74890083, 0.70918866, 0.67661448, 0.6 , 0.5246063 ,\n", " 0.51041667, 0.45715726, 0.45572917, 0.44196429, 0.41992188,\n", " 0.4609375 , 0.44287109, 0.44091797, 0.40930176, 0.39758301,\n", " 0.39556885, 0.40029907, 0.40856934, 0.40917969, 0.40112114,\n", " 0.40440845]),\n", " 'goodput': array([0.38935027, 0.38025415, 0.39823875, 0.36617647, 0.36860236,\n", " 0.36309524, 0.33870968, 0.34270833, 0.32868304, 0.32747396,\n", " 0.34960938, 0.34472656, 0.34423828, 0.32263184, 0.31427002,\n", " 0.31375122, 0.31671143, 0.32182312, 0.32167435, 0.31781578,\n", " 0.31960678]),\n", " 'efficiency': array([0.30831721, 0.32511492, 0.38055166, 0.40953947, 0.51407001,\n", " 0.52775775, 0.56804734, 0.58436945, 0.57688541, 0.62098765,\n", " 0.59567388, 0.62038664, 0.62361787, 0.63594803, 0.63843769,\n", " 0.64276336, 0.63927559, 0.63422995, 0.63251973, 0.64148495,\n", " 0.63830411])}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = aloha.res_\n", "res['simulation']" ] }, { "cell_type": "markdown", "id": "03a39459", "metadata": {}, "source": [ "## Running a bunch of simulation" ] }, { "cell_type": "markdown", "id": "b47739e1", "metadata": {}, "source": [ "Just craft a list of the parameters you would like to run and use the `parallel_compute` function." ] }, { "cell_type": "code", "execution_count": 6, "id": "1b00593a", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:08.844605Z", "start_time": "2024-02-28T17:52:12.519409Z" } }, "outputs": [], "source": [ "from slotted_aloha_simulator.parallel import parallel_compute\n", "p_list = [{'p0': p, 'n': 2**i, 't_sim': 20, 'alpha': 1/2, 'm': 12} for p in [1/8, 1/4, 1/2, 3/4] \n", " for i in range(1, 11)]\n", "data = parallel_compute(p_list)" ] }, { "cell_type": "markdown", "id": "07b85a3e", "metadata": {}, "source": [ "## Display temporal evolution" ] }, { "cell_type": "markdown", "id": "5f23141a", "metadata": {}, "source": [ "`evolution_plot` will help you do that." ] }, { "cell_type": "code", "execution_count": 7, "id": "63a5e6bf", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:09.150988Z", "start_time": "2024-02-28T17:53:08.846705Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from slotted_aloha_simulator import evolution_plot\n", "evolution_plot(data, {'n': 4, 'p0': 1/8}, keys=['occupancy', 'goodput'])" ] }, { "cell_type": "code", "execution_count": 8, "id": "e0f8f0b1", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:09.300188Z", "start_time": "2024-02-28T17:53:09.153000Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "evolution_plot(data, {'n': 4, 'p0': 1/2}, keys=['occupancy', 'goodput'])" ] }, { "cell_type": "code", "execution_count": 9, "id": "27185fac", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:09.626237Z", "start_time": "2024-02-28T17:53:09.457387Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "evolution_plot(data, {'n': 1024, 'p0': 1/8}, keys=['occupancy', 'goodput'])" ] }, { "cell_type": "code", "execution_count": 10, "id": "444ad4fb", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:09.626237Z", "start_time": "2024-02-28T17:53:09.457387Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "evolution_plot(data, {'n': 1024, 'p0': 1/2}, keys=['occupancy', 'goodput'])" ] }, { "cell_type": "markdown", "id": "09a00a1e", "metadata": {}, "source": [ "## Display evolution of the state distribution" ] }, { "cell_type": "markdown", "id": "b6c99ff5", "metadata": {}, "source": [ "`distribution_plot` will help you do that." ] }, { "cell_type": "code", "execution_count": 11, "id": "e9abdc35", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:10.013335Z", "start_time": "2024-02-28T17:53:09.627250Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from slotted_aloha_simulator import distribution_plot\n", "distribution_plot(data, {'n': 4, 'p0': 1/8})" ] }, { "cell_type": "code", "execution_count": 12, "id": "6eb86c96", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:10.348896Z", "start_time": "2024-02-28T17:53:10.014341Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "distribution_plot(data, {'n': 4, 'p0': 1/2})" ] }, { "cell_type": "code", "execution_count": 13, "id": "426af8d8", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:10.805450Z", "start_time": "2024-02-28T17:53:10.349900Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAksAAAHICAYAAABeca7pAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAA9hAAAPYQGoP6dpAACXd0lEQVR4nOzdd3xUVdrA8d/MpFcIgYTQAhI6JEoJ2CASpAjYxY64si8asGTRlV0F14YVEYmyKojYFhuooChEivQaWigBAgRSIaT3mfv+cZlJhiSQMpObTJ6vn/mQuXPmzjM3MXnmnOeco1MURUEIIYQQQlRJr3UAQgghhBCNmSRLQgghhBCXIcmSEEIIIcRlSLIkhBBCCHEZkiwJIYQQQlyGJEtCCCGEEJchyZIQQgghxGVIsiSEEEIIcRmSLAkhhBBCXIYkS0IIIYQQlyHJkhBCCCHEZUiyJEQT9Pvvv6PT6dDpdMTHx1d6fNy4cbRv394ur52Xl8esWbMYNWoUfn5+6HQ6Fi9eXG374uJi/vnPfxIUFIS7uzvh4eGsXr3aqs2OHTuYOnUqvXv3xtPTk44dO3LPPfdw9OjRK8bz2muvodPp6NOnT33fWqNTk2tXnZp+n2pz7detW2f5ubv0tnXr1vq+XSEaLSetAxBC1N7evXsB0Ov1rFixgl69elV6vF+/fnZ57XPnzvHyyy/TsWNHQkNDWbdu3WXbP/LII3z//fc8/fTThISEsHjxYsaMGcPatWu5/vrrAXjzzTfZtGkTd999N/369SM1NZX58+dzzTXXsHXr1moToTNnzvD666/j6elp67fZKNTk2lWnpt+nulz7J598koEDB1od69q1a53fpxCNniKEaHIeeOABxcfHRxk9erRy/fXXWz2WmZmpAMrzzz9vl9cuKipSUlJSFEVRlB07diiA8tlnn1XZdtu2bQqgvP3225ZjhYWFylVXXaUMGTLEcmzTpk1KcXGx1XOPHj2quLq6Kg888EC1sUyYMEG56aablKFDhyq9e/eux7tqfGp67apT0+9Tba792rVrFUD57rvv6vCOhGi6ZBhOiCZo79699O3bl7Fjx7JlyxbOnz9v9Rhgt54lV1dXAgMDa9T2+++/x2Aw8Pe//91yzM3Njb/97W9s2bKFpKQkAK699lpcXFysnhsSEkLv3r05dOhQlefesGED33//PXPnzq3bG7lo/Pjx9O/fn6+//pqwsDDc3d0JDg7mvffeq9d566um1646Nf0+1eXaA+Tm5lJWVnbF8wvhCCRZEqKJKSkp4ciRI4SGhjJ27FiMRiO//vqr5fF9+/YBEBoaWum5paWlnDt3rkY3k8lU71j37NlDt27d8PHxsTo+aNAgAOLi4qp9rqIopKWl4e/vX+kxo9HItGnTeOyxx+jbt2+9Yty/fz9JSUlMnTqV8ePH884779CyZUuio6NZuXJlnc5pi+tcn2tXX5e79gCTJk3Cx8cHNzc3IiIi2Llzp91iEaIxkJolIZqY+Ph4SktL6devHx07dqRv37788ssvPPTQQ4Das+Tq6kr37t0rPXfTpk1ERETU6HUSExMJDg6uV6wpKSm0bdu20nHzseTk5Gqf+9VXX3H27FlefvnlSo8tWLCAU6dOsWbNmnrFl5uby6lTp/D29mbbtm306NEDgHvuuYdOnTrx1Vdfccstt9T6vLa4zvW5dvVV3bV3cXHhzjvvZMyYMfj7+xMfH88777zDDTfcwObNm7n66qvtFpMQWpJkSYgmxtxzZB5mGzt2LDExMZSWluLs7MzevXvp3bs3BoOh0nNDQ0NrPJuqpkNtl1NYWIirq2ul425ubpbHq3L48GGioqIYMmQIEydOtHrs/PnzzJw5kxdffJHWrVvXK76DBw+iKArPP/+8JVECaN26NT179rziUFd1bHGd63rt6uty1/7aa6/l2muvtdwfP348d911F/369WPGjBmsWrXKLjEJoTVJloRoYvbu3YtOp7MMP40dO5bZs2ezYcMGhg0bxsGDB7n33nurfG7Lli2JjIxssFjd3d0pLi6udLyoqMjy+KVSU1O55ZZb8PX1tdTtVPTCCy/g5+fHtGnT6h3f/v37ASy9cpeqOMsuIyODRx55hHXr1tG+fXs+/PBDhg8fXuXzbHGd63Lt6utK174qXbt25dZbb+XHH3/EaDTW6DlCNDWSLAnRxOzbt48uXbrg5eUFwODBg/H39+eXX34hKCiIoqKiKuuVQK13yszMrNHrtG7dut5/+Nq2bcvZs2crHU9JSQEgKCjI6nh2djajR48mKyuLv/76q9LjCQkJfPzxx8ydO9dqGKqoqIjS0lJOnjyJj48Pfn5+NYrvwIED+Pn5VVqTqqioiPj4eKuELCoqisDAQDIyMlizZg333HMPCQkJVb6WLa5zba9dfV3p2l9Ohw4dKCkpIT8/v1KNlRCOQJIlIZqYffv2cd1111nu6/V6Ro8ezS+//MLgwYOB6mfCbd68uUFrlsLCwli7di05OTlWf0S3bdtmedysqKiIcePGcfToUdasWVNp7SiAs2fPYjKZePLJJ3nyyScrPd65c2eeeuqpGs+Q279/f5WJymeffUZRURF33nknoC7wuHz5ck6cOIGHhwfjx4+nb9++/PTTT0yaNKnS821xnWtz7eqrJtf+ck6cOIGbm5slgRfC0UiyJEQTkpqaSnp6eqWeo7Fjx/LFF1/wzTffAFXPhDMfb8iapbvuuot33nmHjz/+mOnTpwPqqtSfffYZ4eHhdOjQAVBnt02YMIEtW7bw008/MWTIkCrP16dPH5YtW1bp+AsvvEBubi7vv/8+V111VY3jO3DgABkZGSQkJBASEgKow22zZ89m5MiRhIeHA2qPlpeXl1UPVN++fTl48GCV57XFda7ptQMoKCjg9OnT+Pv7VzuDrTo1vfagXptL68T27t3Lzz//zOjRo9HrZYK1cEySLAnRhFS3htLIkSNxdna2DMW1atWqyufbqmZp/vz5ZGVlWYbCfvnlF86cOQPAtGnT8PX1BSA8PJy7776bGTNmkJ6eTteuXfn88885efIkCxcutJzvH//4Bz///DPjxo0jMzOTL7/80ur1HnzwQQD8/f257bbbKsVj7kmq6jGdTsfQoUMrrWCdlpZGRkYG/fr1Y+zYsURFRVFYWEhMTAxGo5FFixZZ2ubl5VUaXvLx8bFa36oiW1znml47gO3btxMREcGsWbN46aWXLMdr8n2q6bUHmDBhAu7u7lx77bW0adOG+Ph4Pv74Yzw8PHjjjTfq9X6FaNQ0XhRTCFELb731lgIox44dq/RYRESEAiijRo2yexydOnVSgCpviYmJVm0LCwuV6dOnK4GBgYqrq6sycOBAZdWqVVZthg4dWu35avJrqroVvHNzcxVAuffeeys9tnr1agVQtm/frjz22GOKr6+v4uPjo0yYMEE5ffq0Vdvdu3crLVu2tDo2depU5R//+McVY6uPmlw7RSlfWXvWrFlWx2vyfarNtX///feVQYMGKX5+foqTk5PStm1b5cEHH1QSEhLsdQmEaBR0iqIoDZCTCSFEg/v1118ZO3asZcXziubOncv06dPJz8+vcop+RXl5efj5+ZGYmEi7du0AiIiI4OGHH66yZkkI4VhkgFkI4bDWrl3LvffeW+Uq3/v376dLly5XTJQAvLy8uPXWW5k1axaFhYWsWLGCffv2ceutt9ojbCFEI9MskqUVK1bQvXt3QkJC+PTTT7UORwjRQN5++22+/vrrKh87cOAAPXv2rPG5PvzwQ5KTk2nVqhXR0dEsXbq0xksUCCGaNocfhisrK6NXr16sXbsWX19f+vfvz+bNm6stgBVCOD5FUfD29mbq1KlSmCyEuCKHnw23fft2evfubakzGD16NH/88Qf33XefxpEJIbSi0+nIy8vTOgwhRBPR6IfhNmzYwLhx4wgKCkKn07F8+fJKbWJiYggODsbNzY3w8HC2b99ueSw5OdmSKAG0a9euylVxhRBCCCGq0uiTpfz8fEJDQ4mJiany8aVLlxIdHc2sWbPYvXs3oaGhjBw5kvT09AaOVAghhBCOqNEPw40ePZrRo0dX+/icOXOYPHmyZfruggULWLlyJYsWLeL5558nKCjIqifp7NmzDBo0qNrzFRcXW21eaTKZyMzMpFWrVuh0Ohu8IyGEEELYm6Io5ObmEhQUVP/V5bVc5Km2AGXZsmWW+8XFxYrBYLA6piiK8vDDDyvjx49XFEVRSktLla5duypnzpxRcnNzlW7duinnzp2r9jVmzZp12QXa5CY3uclNbnKTW9O5JSUl1Tv/aPQ9S5dz7tw5jEYjAQEBVscDAgI4fPgwAE5OTrz77rtERERgMpl47rnnLjsTbsaMGURHR1vuZ2dn07FjR5KSkmQ3bSGEEKKJyMnJoUOHDnh7e9f7XE06Waqp8ePHM378+Bq1dXV1xdXVlZiYGMseUaDuAyXJkhBCCNG02KKEptEXeF+Ov78/BoOBtLQ0q+NpaWn13jE9KiqK+Ph4duzYUa/zCCGEEKJpa9LJkouLC/379yc2NtZyzGQyERsby5AhQzSMTAghhBCOotEPw+Xl5XHs2DHL/cTEROLi4vDz86Njx45ER0czceJEBgwYwKBBg5g7dy75+fn13tzy0mE4IYQQQjRPjX67k3Xr1hEREVHp+MSJE1m8eDEA8+fP5+233yY1NZWwsDDmzZtHeHi4TV4/JycHX19fsrOzpWZJCCGEaCJs+fe70SdLWqnYs3T06FFJloQQQogmRJKlBiQ9S0IIIUTTY8u/3026wFsIIYQQwt4kWapGTEwMvXr1YuDAgVqHIoQQQggNyTDcFcgwnBBCCNH0yDCcEEIIIUQDkWRJCCGEEOIyJFmqhtQsCSGEEAKkZumKpGap6Xtv9VEMeh1PDg+p9Ni82ASMJoVnRnTTIDIhhBD2IjVLQtSCQa9jzuqjzItNsDo+LzaBORcTKSGEEKI6jX5vOCHqy9yjNGf1UdJzi5g1rjcfrTvOnNVHiR7RrcoeJyGEEMJMhuGuQIbhHENuUSnjPtjIyfMFlmNPDw/haRl+E0IIhyTDcA1ACrwdx9msQu5esMUqUQJYHneWH3efocxo0igyIYQQTYH0LF2B9Cw1bfvPZPPo5zvIyC3G08VAfokRg06HscKPfRd/T56KDGFsvyCpXxJCCAchPUtC1MAfB1O5579byMgtppWXC/klRqJHdOP47DFMjegKgJuznhPn8nnqf3GMnLuBX/YmYzLJ5wchhBDlJFkSDkdRFD796wT/9+UuCkuNdGrlwfm8Eqti7ukjuxM9ohtFpSau69oKX3dnjqXnMe2bPYx6fwO/7k+RpEkIIQQgs+GEgykzmvjPL/F8sfUUAPeHd6SVhwvOTvpKs97M940mhY8e7M/iTSf55K8THE3L44mvdtMj0JunI7sRn5yNk6Hy80HWaRJCiOZAapaqERMTQ0xMDEajkaNHj0rNUhOQV1zG1K93s+5IBjod/Gt0Tx67oTM6Xc3rkLILS1m0MZFFGxPJLS4DoLW3Kxm5xTwTGcJTkeVJkXmdJll+QAghGh9b1ixJsnQFUuDdNCRnFfLo4h0cTs3FzVnP3AlXM6pPYJ3Pl11QyqcbT/DZppPkXUyaAG4LC+K9CWF88OcxSZSEEKIRk2SpAUmy1PgdOJvNo4t3kJ5bjL+XKwsnDiC0QwubnPtCfgmf/HWCxZtPUlBiBEAHKCCJkhBCNGIyG06Ii1bHp3H3gi2k5xbTPcCb5VHX2ixRAmjp6cJzo3rw13MR/N/QLoCaKBl0Ve81J4QQwvFIsiSaJEVRWLQxkb9/sZPCUiM3hPjz3eNDaN/Swy6v18rLFU+X8vkQRkXhzVWH7fJaQgghGhdJlkSTU2Y08dLPB3l5RTyKAvcN6siiRwbi4+Zst9c0F3M/HRlCj0BvAD5ad7zS5ryiGVg7G9a/VfVj699SHxdCOBRJlkSj9t7qo1YJSV5xGZOX7OTzLerSANd39ef12/vgbLDfj3LFWW9PR3bjhVt6AaDXqZvzSsLUzOgNsPa1ygnT+rfU43qDNnEJIexG1lkSjZpBr2PO6qMA3D2gPY8u3smhlByc9DrKTAqDOvvVammAujCaFKti7utD/LmpRxv+PJzOVa09Mcrilc3L0OfUf9e+BsdiwckVSgvhzHYYMhVufFbb+IQQNiez4aoh6yw1HuaeHW83J3KLyvBwMVBwcesSrYqsj6XnMXLuBowmha8fC+farv6axCEamKLA8T9h+ydw9Leq23gFQLsB0H4AtB8IQVeDq5d1m7Wz1R4oc+JV0fq3wGSEiBm2j1+IZkSWDmhAsnRA4zDhv1vYlphpud8Ypu3P+ukAn285Rc+2PqyYdr1swuvIinJg7/9g+8dwvuKw68WFJHR6aBsGqfvAVGb9XJ0e2vQuT57aD4CDy2Hd6xDxb+uEyTyUd+lxIUSt2fLvtwzDiUYvJbuQuKQsy32XarYeaWhPR3Zj2Z6zHErJ4ftdSUwY2FHrkERN1KZX51yCmiDFfQMlueoxF28Iux90Oti2AAwuYCyB7qNh0q+Qsg/O7Lh42wk5ZyBtv3rb9Zl6DldfaNlFTYzOH4Nx82DzPEmUhGikJFkSjd7bvx+huMwEgLNeR4nRxLzYBM0TppaeLjw5PIRXVx7inT+Ocku/ILxc5X+pRs9coA1V9+oMmwFHflOTpON/lj/u3w0G/R1C74WtH1knNubnms/ZMbz8eTnJatJkTp6S90BxtnoD2LcU9n0LKJIoCdFIyW920agdOJvNj7vPAnD/oI68fkdfSw0ToHnC9PCQYL7ceoqT5wv47/rj/OPm7prGI2qgYoG2+b452blqOOz9BtaZp//r1B6jQZOhS4Tam1TVUFlV5zTzCYJe49UbgLEU0g7C2Z1q8rT3G9SlTnVSHC5EIyXJkmi0FEXh8S93AdAj0JvX7+gLlCdIjSFhcnHS8/zonkz5chcfbzjBvYM60q6Fu2bxiBqqmNysf1OtM9I7wfFY9bhbC7jmIRj4GLQMtn6uyVh1D5D5vsl4+dc2OENQmHoryKzwgAJf3gEPLavTWxJC2I8kS6LRWnsknaQLhRj0Oj55eIDVY+YEqTFM2x/ZO4Dwzn5sS8zk7VWHmXvv1VqHJK7EZIQ2vQBdeUG2qQwC+qhDbX3vBpdqVoO/3Cy12gyhVeyh8vCDlf9Qh/2WPwG3fVjz8wgh7E6SJdEolRlNvP6rup3IYzd0poNf5T9cWg/Bmel0Ol4c24tx8zeyPC6ZR67rTJgN96cTNlScB3FfqTVHFxKtH7v6IRj/gTrUZm+XDuUpCpzZBXu/VuNz94ORr9o/DiFEjTSLFbxvv/12WrZsyV133aV1KKKGlu5M4lh6Hi09nHliWFetw7miPu18uePq9gC8siIeWZGjkclKgj9egDm94LfnyhOljtfCM/Fq0rLnC9jwdsPEc+lQnk4HY+dAYD/1/oHvobSoYWIRQlxRs0iWnnrqKZYsWaJ1GKKGcotKee9iPdJTw0Pwdbffnm+29OzI7rg7G9h16gIr96doHY4AtYD6u0nwfihs/kCdgebupz5247Pw6G/g205NWiL+XfU2JvYQMaPykJ2zO0z4EtxbQm6KmtQJIRqFZpEsDRs2DG9vb63DEDX03/UnOJdXQmd/Tx4Y3EnrcGos0NeN/xvaBYA3fjtMUekVCn2FfRjL4OAy+HQEfDocDv4IihE63wj3LYWBk9XE6KYXrJ9nTpiuVKBtTy07wZ0LAR3s/hx2fa5dLEIIC82TpQ0bNjBu3DiCgoLQ6XQsX768UpuYmBiCg4Nxc3MjPDyc7du3N3ygokGkZBfyyV8nAHh+dA+7bpBrD3+/sQuBPm6cuVDIZ5tOah2O41k7u/qen9iXYcltMO9q+O4Rda82gwuEPQBTNsLEX6D7KLjpX9UXYg99TvttRroOL0/kfp0OZ3dpG48QQvtkKT8/n9DQUGJiYqp8fOnSpURHRzNr1ix2795NaGgoI0eOJD093dImLCyMPn36VLolJyc31NsQNvLO70cpLjMxKNiPm3sFaB1OrXm4OPHsSHWtpZi1xziXV6xxRA7GvKBkxYQpMxE+jYS/3oUTayH7NHi0ghufg6cPqDPLAvtqF3NdXB8N3W9RVwZf+jDkn9M6IiGaNc1nw40ePZrRo0dX+/icOXOYPHkykyZNAmDBggWsXLmSRYsW8fzzzwMQFxdns3iKi4spLi7/A5eTk2Ozc4vLO3A2mx/3nAHgX7f0RNcQs5Ls4Par27F480n2n81mzuqjvH57E/tD3ZhVXB8p8wSU5MGhFaiLOgKte8DgJ6DfPWoNUFOl18PtH8EnN6nboXz/KDz4Ixg0/5UtRLOkec/S5ZSUlLBr1y4iIyMtx/R6PZGRkWzZssUurzl79mx8fX0ttw4dOtjldYQ1RVF4/ddDKAqMDw1q0lPv9Xp1KQGA/20/zZHUXI0jchCKAqe3QX4GOHuqK18f+gVQwK8LPPgDPLEV+k9s2omSmZuvWvDt7AmJ6+HPl7WOSIhmq1EnS+fOncNoNBIQYD0cExAQQGpqao3PExkZyd13382vv/5K+/btL5tozZgxg+zsbMstKSmpzvGLmlt7JJ3Nx8/j4qS3DGM1ZYM6+zG6TyAmBV779ZDW4TRdigKp+2H1LJjbDxbdrO7ZVppf3kbvDE/uga6RDbNGUkNq0xNuu1iisOl9iP9J23iEaKaaRZ/umjVratzW1dUVV1dXYmJiiImJwWiUGU32VnEByknXBVe5AGVT9PzoHsQeSmfD0QzWHkknonsbrUPS3trZat1RVQXW69+6uP7QDDh/HA78qK43lHG4vI2LF/S4Rf1631K1gNtYoj7XUTeg7X27ugTClvnq6t6te0Drpv+BQoimpFH3LPn7+2MwGEhLS7M6npaWRmBgoF1fOyoqivj4eHbs2GHX1xFNbwHKmurUypNHrgsG4LWVhygzmrQNqDGoqkAbyle0PrsTPo6AD66Bta+qiZLBFXqMhbsXw/QEaNVVTZQi/g0vZjTs+khaifwPBN+g1mgtfRCKpJZSiIbUqJMlFxcX+vfvT2xsrOWYyWQiNjaWIUOGaBiZsJW84rImuQBlTUVFdKWlhzPH0vP4ZvtprcPR3qWLPxZkwjf3qvcBjq2B5N2gM8BVN8GtH8KzCXDvV2oPy5b51tuEVHVOR2Rwgrs+A592cO4o/PSEOkQphGgQmg/D5eXlcezYMcv9xMRE4uLi8PPzo2PHjkRHRzNx4kQGDBjAoEGDmDt3Lvn5+ZbZcfYiw3AN47/rj1sWoLw/vOksQFlTvu7OPDOiGzN/Osh7axIYH9bO4RLCWhv4GKTsVZMbc5Jk1mEw9L0Let0GXq0rP/fSbULMzPe1XFDS3rxawz1L4LPRamH7prlw/TNaRyVEs6BTNN7Eat26dURERFQ6PnHiRBYvXgzA/Pnzefvtt0lNTSUsLIx58+YRHh7eIPHl5OTg6+tLdnY2Pj4+DfKazUVKdiER76yjqNTEggf7M6qPfYdWtVJmNDHotVgyC0r4+41d+NeYnlaPz4tNwGhSeGZEN40ibAA5yXB4JRz6GU5uUlfUttBB5EvQ5w5o0VGrCJuOnZ/BiqcBHTy0DK665PdnxdovIZoxW/791nwYbtiwYSiKUulmTpQApk6dyqlTpyguLmbbtm0NkijFxMTQq1cvBg4caPfXaq7e+f0oRaXqApQjeze9BShrysmg58Zu/gAs/CuRU+fLZ3LNi01gzuqjGPQONosL1CLtjXPhk+Ewp6e6GnXiBjVR8rr4/dY7A4papC2JUs30fwTahgIK/O8+yKowvGuu/dIbtIpOCIekec9SYyc9S/Zx4Gw24+ZvRFFgedR1TXpdpZpQFIVh76zj1PkCQtp4sTp6qCVRih7RjSeHh2gd4pVdaSabsQx6jVOHiA79AunxFRrooEM49Byr9jJt/bB8OM38B76q4TVRtdIimBcKuangHQhP7oXN8+Q6ClGBLf9+a16zJJofR1qAsqZ0Oh0fPzSAUXM3kJCeR9d//UqZSWk6iRKUz2SDCjVCJnVIaPfn4NYCNrxZob2Tunltj7HqdH/vQDUxqpgoVTzXpecW1XN2g7+thphBasL0eltQTJIoCWEnkiyJBrfuSIa6AKXBMRagrKnugd7cO6gj32w/TZlJwcWgbzqJElTeasTZQ53CX5KnHi/KAic3dXHInuOg20hwb2l9juZcoG1rLTrCvd/AF7epiZLeSRIlIexEkqVqyGw4+1AXoFRXtHakBShrytlQXptUYjQxLzahaSRMRdmQsLp83aO935Q/ZnCFXreqCVLX4eDiWf15Lld0LH/oa+9MhXXgTGWOvTinEBqSZKkaUVFRREVFWcY8hW18u/MMCel5tPBw5okIx1mAsibmxSawZMspWnm6cD6/hJG9A5hzcY2pBkmYarp6tln2GTjymzqL7eRGMJVWfp7eCWacAScX+8Utqmau9br2SXVo01QmQ5lC2Inms+GE43pv9VHmxSZY7ucVlzFn9REAwjq0YNHGRK1Ca3AVi7kfHhIMQHGZiegR3ZhzyXWymyutnq3Tq/uwrXsT/nsjvNdbncF2Yq2aKPl3V9f1ueYR9XkGF/UP9Ka59o9dWKtYFH/zK2pdGEDQ1Y69OKcQGpGepWrIMFz9GfQ6q54T8wKULTycWXckg2s6trzCGRyHsUIx9/GMPN5bc5SNCed4754wy+N2V1Uh9drZsP4NaD8Q9nwJ616v8AQddBwM3ceoBdqtrlL/CO9+r/JMtornF/Z3ae3XoMkQvxwyjsIN/5DaLyFsTJYOuAJZOqB+zD0qk2/ozBdbT1FUqu6P1qRmgdnB6Pf/4lBKDrPv6Mt9gxp4faHYV+Cvd9SeJOWS/eqc3NVtRnqMgW6jwNO//LHqpvjL1H/tKQp8OAQyDsGoN2HwFK0jEkJzsnSAaDKeHB5CqdHEB3+Wb2nzTGRIs06UAMb2a8uhlBxW7EtumGQpKwmOroIjv0LiX+oxc6Lk0Qq6jVYTpC4R4FJN0b3MZGu8dDoY+Dd12HTHpxD+f+oxIYRNSLIk7KqkzMTB5PId0p30Op6KdOBtPWpoXL8g3v79CFuOnycjt5jW3q6Xf0Jti7MVBVLi1ALtI7+qtUiXMvcsDfo7DHv+ykHLTLbGLfReWPMfOJ8AJ9ZV3gZFCFFnUuAt7KbMaOKZpXH8eTgdUBOlMpPSMMXMjVzHVh70a++LSYFVB1Ku/IQrFWfrDeqqzgmrYcUzMKcXfDwM1r+pJko6PXQcog6xgdpDNOuC+u+62VIQ7AhcvdWECdTeJSGEzUjPUjWkwLt+TCaF53/cz8r9aiJwx9XtmDMhzFLDBA00Xb4RG9cviH1nsvllXwoPXZwhV62qirPNiVKPcZC6D97qAqXl+87h7Aldb1ILtENuhp2LKtcWyerZjmXgY7DjE7U3MfsM+LbXOiIhHIIUeF+BFHjXnqIozPr5IEu2nAJgXGhbPrjvGsvjTW5PNDtJzirk2jf+RKeDrTOGE+DjduUnWab5G9QNadEBFf4X9m4L3UerCVLwDeq2GGa1HcoTTdPisXDyL7hhOgx/UetohNCMFHiLRu2t349YEqXRfQKtEiUo71FqkOnyjVhQC3f6d2rJrlMXWLkvhUev71x1Q2MZJG29WH/0m3pMMfd4KhDYV02Ouo+GtmHVF/ZKzVHzMPAxNVna/bn6fXW6Qj2cEOKKJFkSNhWz9hgfrTsOwOu39+X+8KpnejXnHqWKxvZry65TF1ixL9k6WSrKhmNr4MgqSPhD3XfNysUepSFTYeRrDRixaPR63KL2MOamwKFfoO9dWkckRJMnyZKwmUUbE3n7d3WF7hdu6VltotQsVTMENqZvWy789ir6ZBOpp1oRmLJW7T06tUldHdvM3Q9826nF2ubhFfOQnJuv9AyJcgZn6D9JXWB0+yeSLAlhA5IsVUMKvGtn6Y7TvLwiHoCnI0N47IYuGkfUyJhns4HVukQB654j2ul7zik++H/2o/Vz/LupQ2vdRkPienXWmhRni5roPxE2vKUO36buV4dqhRB1JgXeVyAF3lf2895knvrfHhQF/n5jF2aM7oFOFsSrzNwT1OcucHKDg8usZq8Z0WMIvk5dObv7aHV7ETMpzha19d0j6s/YNRNh/DytoxGiwdny77ckS1cgydLlrYlPY8qXuygzKTwQ3pFXb+sjidKlss/C0d/U+qMTf1qvdG1wpbjraP55oB1rjaH8NH0swf6e2sUqHMfJTbB4DDh7QPQhcG+hdURCNCiZDScahY0J53ji692UmRTuuLodr9wqiRIAJpO6evbRVWr9Ueq+qtvpnWDGGVydXDj36Tayj51j5f4UoiK6Nmi4wkF1uhba9IL0eNj7DQx+XOuIhGiyZAVvUSc7T2YyeclOSspMjOodyFt39UOvd9BEae1lVrhe/5b6eGmh2nP0y1Mwpyd8EnFx9ex9gA46hMPwWerWIgAGF7WAe9NcQJ0VB/DL3mT7vx/RPOh06jICoK7obTJdvr0QolqSLIlaO3A2m0mf7aCw1MjQbq15/74wnAwO/KNU3VYjf7yoHj/wA7zZGb6ZALsWQ14quHhBz3Fw20fw7DH42x9qcrT9Y7VI+8UM9d+L5x3VJxAnvY7DqbkcS8/T5G0KB9RvArh4w/ljkLhO62iEaLJkGE5U673VRzHodVZrIh1Ny+WhhdvILS6jXQt3FjzYH1cng4ZRNoCKs85yU8E7UN06JPfinm7nL+5159vhYnH2KHX17IqLAZqLu6uZzdYCuCFkGGuPZLBiXzJPy2bDwhZcvSDsPjVJ3/5p+d6AQohakWRJVMug11nt43bqfD4PfrqNCwWlANx2dRDuLg6eKJUWwcmNkJcGrj6wc6H14+36q1P7u4+CgD7Vr55tMlonSmYVlhEY2y/oYrKUwlPDQ6T+S9jGwMfUZOnob5CVBC06aB2REE2OJEuiWuYepTmrj5JbVMqv+1NJzy0G4PFhV/HsyB5ahmc/eRmQ8LtanH18rfXmtGY6gzrDyDugZueswVYjI4pKcflRz7H0PI6k5dIjUGZfChto3R063wiJG2DXZzB8ptYRCdHkSLJUDVmUUvXk8BBSs4v45K9Ey7H/u7EL/xzVhBKlK61RZCyD3repO7UfXQVndmK9OW0QdBsJJfmw/1u1ONtYUr73lo34uDkztHtrVsensWJviiRLwnYGTr6YLH0OQ/8p+8UJUUsOXJVbP1FRUcTHx7Njxw6tQ9FMSZmJd/84wtKdSZZjznodM8b01DCqOqiqQLusBJZNUY9vXwAfDYE/X4EzOwBF3ZB22Az4+3qIjgefIDVRqqI425Yss+L2JSNLoAmb6T5GTfoLzkH8T1pHI0STIz1LokoHk7P5x7d7OZyaaznmrNdRalKYF5vQtDbCrVignboPdHp1iM1Yoh4vylZX1O48VK096jZKTY7MrlCcbXW/niJ7BuDmrOfU+QIOnM2hb3tfm5xXNHMGJxgw6eKHg0+g3z1aRyREkyLJkrBSajTx4drjfPBnAmUmBXdnA4WlRqJHdOPJ4SHMi02wKvpu1BQFMo6oha3HYgGdugu7mYsn9LlTLdDuMgxcPKo+Tw2Ks23F09WJm3q04df9qazYlyzJkrCdayaqif+Z7ZCyF9qGah2REE2GJEvC4khqLv/4Lo4DZ3MA6NrGi2PpeZZECayLvivebzSMpXBq88XVs3+FCycvaaADFHX17OfPgL4GI9E1KM62pbH9gi4mSyk8L/vsCVvxDoBe49V1wXZ8CuM/0DoiIZoMSZYEZUYT/91wgrlrjlJqVPB1d+blW3tzPD0PJ4O+UkJkvm80NZKamoJMOLZGHVo7FgvF2eWPGVzUmUDdRqmJ05b55QXaf71jl2SnviK6t8HDxcDZrEL2JGVxTceWWockHMXAyWqytO87GPEyuMvPlhA1IclSM3csPZd/fLePvUlZAET2bMPrt/eljY/bZZ/XYD1K1c1kO5cAv/0Tzh2FnGRQKgyFebaGkJFq/VGXCHVhvvVvqYmSeTjNXIcEjS5hcncxENkzgJ/3JrNib4okS8J2Og6GNr0h/SDEfQ1DorSOSIgmQZKlZspoUli48QTv/HGUkjIT3m5OvDSuN3dc065xDfuYZ7KZTBB8XfnmtJnHrdu16X2xOHu0ulBkxeG1BizQtpVxoUH8vDeZX/en8MItPR133z3RsHQ6GPQYrHhGHYoLf7xmQ9FCNHMOnywlJSXx0EMPkZ6ejpOTEy+++CJ333231mHZXVVblZj95+eDrDqYSkp2EQDDurfmjTv6Eeh7+d6kBld4Afy6qInQ+tmw/pLHW3ZRd1LvNhJadqr+PA1YoG0rN3bzx9vNidScInaeusCgzn5ahyQcRd97YPUsyDwBJ9ZC1+FaRyREo+fwyZKTkxNz584lLCyM1NRU+vfvz5gxY/D09NQ6NLu6dKsSAJNJ4dHPd7DuSAYAXq5OzBzbi7sHtG88vUnnj6s9R0dXqYXayiWJjE4PiglumA7DX6zZORu4QNsWXJ0M3NwrkB92n2HFvmRJloTtuHpB2P2wbYHauyTJkhBX5PDJUtu2bWnbVl3oLzAwEH9/fzIzMx0+Wbp01tqtYUHc/8k2zmYVAnB9V3/evKsf7Vq42y+IK62cbTLCjc9C0jZ1ev+RVeWb0pq17gHdR6vDa4tvAVOpWqBd00SpCRsb2pYfdp/h1/0pzBzbCyeDDJcIGxn4mJosHV0FWaehRUetIxKiUdP8t++GDRsYN24cQUFB6HQ6li9fXqlNTEwMwcHBuLm5ER4ezvbt2+v0Wrt27cJoNNKhQ/PYSPLJ4SE8ExnCnNVHGfr2Os5mFeJs0PHa7X344m+D7JsoQdUrZwPEvqweP7wC3ukKi8fA5g/UREnvpC4OOeoNeDIOorZB5EuQuL48UTKW2Hzl7Mbo+q7+tPBw5lxeCdsSM7UORzgS/xD1/zPFBDsXaR2NEI2e5j1L+fn5hIaG8uijj3LHHXdUenzp0qVER0ezYMECwsPDmTt3LiNHjuTIkSO0adMGgLCwMMrKyio9948//iAoSF2JOTMzk4cffphPPvnEvm+oEUnKLLD6I6sD/vzHMDr4VbP4oq1VLKIuvAC+HWDbfyHrpHo87YD6r3tLCLlZnd7fdTi4XbIQ46UF2o14JpstORv0jOodyP92JLFiXzLXdfXXOiThSAZNVj+E7F4CQ58H50ZWsyhEI6JTGtEGVDqdjmXLlnHbbbdZjoWHhzNw4EDmz58PgMlkokOHDkybNo3nn3++RuctLi5mxIgRTJ48mYceeuiKbYuLiy33c3Jy6NChA9nZ2fj4NI2NTRVF4X87knh1RTz5JWrNj0Gnw6goVgtM2pXJCEnb1eG1PV+pe1JV5N9NTY66j4b2g9TtGKpS1Uy2yx13MBsTzvHgwm208HBmx78jcZahOGErxjJ4PxRyzsDtH0PoBK0jEsKmcnJy8PX1tcnfb817li6npKSEXbt2MWNGeYGuXq8nMjKSLVu21OgciqLwyCOPcNNNN10xUQKYPXs2//nPf+ocs9ZSsgv55w/72XA0w3Js0nXBzBrX2/5blRTlwPFYtfYo4Q8orGLoSGeAqTug1VU1O2cTnMlmS4O7+NHK04Xz+SVsOnaOYd3baB2ScBQGJxjwCPz5Kuz4RJIlIS6jUSdL586dw2g0EhAQYHU8ICCAw4cP1+gcmzZtYunSpfTr189SD/XFF1/Qt2/fKtvPmDGD6Ohoy31zz1JjpygK3+86w8sr4sktKsOg12E0KTwdGcLTkd2AOmxVUpMC7bD71OTo6G9wcpNaV2Tm5qsOrxlLIX55eb3RgR9q3hvUBGey2ZKTQc/ovoF8ufU0K/alSLIkbOuaibDuTTizA5LjIChM64iEaJQadbJkC9dffz0mk6nG7V1dXXF1dSUmJoaYmBiMxsbfc5GeU8SMH/cTezgdgLAOLejbzpfW3q7126rEXKAN1j05K56B3Z+rK2Wvf8P6Oa26lg+vdRgMG+c0y3ojWxrbL4gvt57m94OpvHZ7H1ydDFqHJByB+cNQr1vhwPdq79KtMepj5g9Dl/uwIkQz0qiTJX9/fwwGA2lpaVbH09LSCAwMtOtrR0VFERUVZRnzbIwUReHnvcnM/Okg2YWluBj0PDOiG5Nv6HzZaeY1HoKrWKCdfhicXNUeotIC9Xh+hjqs1nFI+erZ/l3Ln98EV85ujAYG+9HG25X03GL+OnqOyF4BV36SEFdi/jB09cPq/QM/wph3YfO88v9vhRBAI0+WXFxc6N+/P7GxsZaib5PJRGxsLFOnTrXrazf2nqVzecX8e9l+fj+oJpJ92/ny7j2hdAvwts0LZJ1Wh9dOb1ETooM/lD/m5Ao9xqrJUdfh4FHNgonNvN7IVgx6Hbf0a8tnm06yYl+yJEvCNip+cHHxgpI8WPE07P3G4SdOCFFbms+Gy8vL49ixYwBcffXVzJkzh4iICPz8/OjYsSNLly5l4sSJ/Pe//2XQoEHMnTuXb7/9lsOHD1eqZbIHW1bT18bltiuZ+vVuYg+lU1hqxNmg48mbQpgy7Kr6zZQymeDsrvLFIdMPVt1O7wT/TgWDc91fS9TarlMXuPOjzXi6GNj14gjcnGUoTthIxaFxkERJOAyHmg23c+dOIiIiLPfNxdUTJ05k8eLFTJgwgYyMDGbOnElqaiphYWGsWrWqQRIlLVW1XUlmfgn3fbyVI2m5APRs68O7d4fSK6iKH4KaFGdfO03dG+rIKkj4XR1WM9Pp1Zqj7qMg+yxs/295gfbG9+SXaQO7pmML2rVw52xWIWsPpzO6b1utQxKOYuhzsP5NMJWV3xdCWNE8WRo2bBhX6tyaOnWq3YfdLqX1MNylM9e6B3rzzNI4CkqM6HQwLaIrU28KwcWpmt6kqoqzAX5/AbZ8oG5Qu/E9MJavKYWrjzqs1m00hIxQh9fWv6UmSlKgrSmdTh2K+3jDCVbsS5FkSdjO+rfKEyWAVTNg1Gzt4hGiEdJ8GK6x02oYzuytVYf5cN1xy/1Wni4snjSIvu1rUHRuTmz6P6LOXNv9OeSlW7dpGawmR91HQcdrwcml8vOb6YKQjc2+M1mMn78JN2c9u14Ygaer5p91RFNX8f/lE+vg1Cb1uPy/LRyAQw3DieqtPZLOD7vPWO7rdbB5xk1Xnjpekq/+4ss6DS6esGtxhQd10CG8fPZa6+6g01V9HinQblT6tvOlo58HpzMLiD2czvjQIK1DEk3ZpR969E5qstSqq/QeC3EJSZaqoeUwXG5RKa+uOMTSnUmWY056HWUmhf+uP1H11P/ss+oO4kdXQeIGKCuq3EZngOkJ4NmqZoE08wUhGxudTsfYfm35cN1xVuxNlmRJ1M+lH4ZCbobY/6i/S278p3wYEqICGYa7goYehtt07BzPfb+Pu/O+wKjo+cB4B9Nu6so/bu5u2a7km+4bGNLJV+0dOroKjvwGqfusT9Sio9pzVJyjTgU2F2dL93qTZJ4dGdkzgDHz/sLFSc+uFyLxdnNmXmwCRpPCMyO6aR2maMoUBeb0gtxkePAH6BqpdURC1IsMwzmg/OIy3vjtMF9sPQWAs5szT7OUa7v6M+TmWwB48oZ23Hz4BXqcWkXJGQ9cNrxZ4Qw6aD+wfHitTU/Y8LYUZzsI8+xIRVEsQ3E7TmZy4GwOc1YfJVoSJVFfOp06wWPPF5CwRpIlISqQZKkaDTkMtz0xk+nf7eV0proy9kODO5HnGs2W1JYMObUAvjmlfuo7toYeF2etuBgLwNkTut50cfbazeDVuvyksnq2Q6k4O7LPxaUiYtYeZ9epC0SP6GafjZFF8xMyQk2Wjq0G3rhicyGaCxmGuwJ7DsMVlRp5+/cjLNqUiKJAkK8bb93Zj+u9zpYPr6XEWT/J1Qf6TVB7kIJvUFfTrkpN1lmSfZ+aHPNQrJkkSsKmirLhrS7qUgJP7lGXGBGiibLl329Jlq7AXsnSntMX+Md3ezmRkY8rJfyzexoPtozH5fhqtWbAwjxTTVFnq7x4rvrZa6JZCPnXr5Re3Ah5/0s34+0mq6kLG/rsFji1EUa/DeF/1zoaIepMapYauS0Lp4PewJBJb1Z6bNOi5zh7Po93Mq8jQr+HWe5xXK8/gOFUIZy62MjZA666CbqNgvMJsOn98gLtDW/L8FkzNi82wZIoAcz86SDvTQjTLiDheEIi1WTp2GpJloS4SJIle9AbGHJqAVs+ozxhUhS2zp/EdeeXkWJqyT2uX108DhgBn3ZqctR9tDq85uymDpdtel8KtAVQPgQXPaIbSZkFfLfrDMv2nKWzv6cMxQnb6ToC1rwEiX9BaZH6u0iIZk6SpWrUp8B7yKQ31UTp1AIOfXiabh0CKdr9PwYragF3W/0FtWHQNWpy1G0UBPa1Hl6TAm1RQcVE6cnhIXy/6wzf7TpDoK9bpT0EhaiXgN7gHaSWA5zaKLPihECSpWpFRUURFRVlGfOssbx0OPo7Q9zPYNQ50TP9V0gHT6BUMRDvFc5V192FV99bwDuw+vPI6tmiAqNJsSrmDu/sB0BGbjFTI7piNEnpobARnU4ditu9BBJWS7IkBJIs1d6lM8kUBdIOwtHf4MgqOLsLdWwNDBcf1umgVNHz+607ueXqzuhqUqAtq2eLCi5dcLKDnwftWrhzNquQQZ39uLFb62qeKUQddB1RniyNrlx7KURzU82W9aJKlpohdc0jVk6HuX1hwXXw56twdiegUNS6H994PMAXpcPR6aBYccJZZ6LV3v/WLFESogbCu6i9S1tPnNc4EuFwugxTZ99mHofME1pHI4TmJFmqqT9fVxOl1t1hSwx8eSfs+ASyk8DJDbqNwnTLXL654Q9CU/5FcnYxDznH8lPLR3B56RxbOk25WPT9T63fiXAQg7uoe/xtS8zUOBLhcNx8oMNg9euENdrGIkQjIMlSTW37UP034wiU5IFXIFwzEe77HzyXyOmRn3Hv7h7MWH2Ovyvf8w/n71nfbjK3PvU+Op1OLfqWhEnY0ODOarK0NymLgpIyjaMRDidkhPrvsdXaxiFEIyA1S9W4dDbcLlcXItr2UrcW6T6Kg87OZJVkc1WLq1izO4PXfz1EQWkBHr7JOHuVsMXz/xj66FsAnMg6wYXiC3SdMJ0tSwGTkaKyIg5nHsZJ70Qf/z6W1z2Te4bs4mwCPAPwd/cHoNRUyokstSu8u193S9uMggyyi7Pxc/fDz00dkjGajCTlJqHT6ejo3dEy7JddnE1uSS7eLt74uqoF64qikFaQBkAbjzbodWruXFBaQEFZAW4GN7xcvCyvl1WUBYCPq4+lbYmxhGJjMc56Z9ycyqcYF5YVAuBqcLW0NZqMmDChQ4eTvvxHz7wuqgxR1k4HP3fa+rqRkl3E7lNZXB/ir3VIwpGEjIA1syBxA5QWgrO71hEJoRnpWapGVFQU8fHx7NixA4DZrVpCj7Fq4XXQ1cTs/ZApa6bw6NKveGH5AQpKjPTrXIYh6L8sDzjLkIuJEsD8uPk8suoR1pxew5BJbzLkb++Qmp/KQ789xOQ/Jlu97kd7P+Lelffy8/GfLccyCzO565e7uHfFvVZt/7vvv9z+8+18c/gby7H8snzGLR/H2GVjKTOV9zZ8uv9TRv84mk/3f2o5VmYqY8T3Ixjx/QhyS3ItxxcfXEzEtxHM3T3X6vUivo3ghqU3kFGQYTn25aEvufaba3ll6ytWbYd/N5xBXw3idM5py7Hvjn7HNV9cw3MbrAvUI7+LpN+Sfhw6f8hy7KdjPxG2JIypsVOt2t7x8x0M+HIAcelxlmOxp2IJ/yqcx9c8btX2kVWPcN0317EtZZvl2JbkLQxdOpT/W/1/Vm2f/PNJhn87nI1nN1qO7c3Yy8jvR/LYH49Ztf33xn8z5scx/Hn6T8uxoxeOMn75+Ept39z+Jnf8fAd/nPzDciwpN4l7frmHx363bjt/z3zuX3k/vyX+ZjmWUZDBw789XKnt4gOLefT3R+nU6TAA2xLPk1uSy+Q/JvP3P/5OxYX5vz3yLY+veZzlx5ZbjpUYS5gWO41psdMoNhZbjq88sZJn1j7DsoRlVq/37PpneXb9s1Y/J2tPr+X5v57nx4Qfrdq+vOVlXtj4AheKLliObUnewkubX+KHoz9YtZ2zaw6vbn2V9IJ0y7G49Dje2P5GpfP+d+9/eXvH26TkpViOHc48zHu73qvU9qtDX/HBng84k3vGcuxE9gk+ivuo0ntblrCMT/Z9YvWzejbvLJ8d+Iyfjv1k1fb3k7+z5OASTmaftBzLKMjg60Nf88vxX6za/nXmL7498i2J2YmWY1lFWfyY8KPV9xhgR+oOfj7+s1Xb/NJ8fj3xq9XPDsCBcwf4/eTvVm2LjcXEno5l7em1Vm2PXjjK+qT1VvGWmkrZdHYTm89uxqSYLMdP55xmW8q28uvQphcm7yB2Oins3LvE6vdJan4qcelxVtcX4OD5gxw8d5BSY6nl2PnC8xzOPGz1fQP1Q+SxC8coMZZYjuWU5HAy+6TVzwNAcl4ySblJVm0LSgtIzU+1+jkDyCzK5FzhOasYSowlXCi6QF5JnlXb/NJ8cktyrd6b0WSksKzQ6v8L83UrNZZaXTNFUZBNMJoHSZZqqItPsFqztP4tFEWhqLAFFAdxNNmIq5OeF8f24r27B9C1RVeCfYOtntvGow3BPsF4u3hbjjnpnWjn1Y4gryCrti1cWxDoGYiXc3mPjl6nx9/dn1burazaejh50NK1Je5O5Z/4dOjwdvbG29m7fKcUwFnvjLuTO856660xnPXOOOudrXp1dBf/q06NeoCq+P2hVHWwwvGK51VQMCpGjIr1EgnFZcUUG4utzlWqlFJQVkBRWZFV27ySPHJKcjBWWGah1FRKZlEm2cXZVm0zizJJL0y3+gVZYiwhOT/ZKjkESC9IJyk3iYKyAqu4ErMTScpJsmp7Nu8sCRcSyC7Jtmp7KPMQRy8ctWp7Ovc0+8/t51zhufIYTCXsSd/D3oy9Vm1P5pxkZ9pO/FvkA2qRd4mxhK0pW9mSssXqWiZmJ7Lx7EZO5ZyyHCszlbHuzDrWnVlndX2OZR1jzek1lWJbdXIVq06usvpjlZCVwMoTK9mXsc+q7S/Hf+Gn4z9ZXZ9jWcf4IeEHtqVus2q7PGE5S48sJac4x+q8Xx36inVJ66za/pjwI0vil1hdn2NZx1h0YFGl5OPbI9/y8b6PSckv/wOdmJ3Ih3s/5IcE64Rt6ZGlzNszj5M5Jy3HTmWfYs6uOXwR/4VV228Of8PbO9/m8IXDlmNn8s4we/tsFuxdYNX268Nf88rWV6y+dyn5KczaPIu3d7xd6bz/3vhvtqZstRzLKMjgn3/9k5c2v1Sp7fT101mbVJ4YZRVl8fTap4leF13pOkz9cyq/Jv5qOVZQWsCUNVP4vzX/Z/W9/+7odzz2x2N8d/Q79YBOh7HrTUxqG8Ckg/Otvp8/JPzAQ789xOKDi61e78GVD3LvynvJLCqvo/vp+E/c/cvdzI+bb9X2gV8f4Pafb7f6Hq08sZJxy8fxxnbrTXwf/PVBxvw4hhPZ5cXmv5/8nRHfj+DfG/9t1fahXx8i4tsIDpw/YDn2Z9Kf3Lj0Rqb9Oc2q7cO/Pcy131zL9tTtlmObkjcx6KtBTPxtolXbR1c9yjVfXmN13Xem7aTfkn7cuvxWq7b/t/r/CF0SysoTKy3HDp4/SP8v+jNu2Tirts+tf47wr8KtPsycyD7Btd9cyy0/3mLV9pUtrzB06VC+PfKt5VhqfirDvx3OmB/HWLV9b9d73Pz9zXx96GvLsezibMb8OIZbfrzFKsn7dP+njF8+3urnvaisiNt/up3bf7rdMlIA6s/fPb/cw+IDi61e7/6V93P/yvutfrf+dOwnHvr1IRbuX2jVdsrqKUxaNcnqd+uaU2uY/Mdkqw/0oH5Qm7JmCsl55duAbT67mWmx0/hk3ydWbV/e8jJPr33a6nedrcgwXA29dfsPsGcBrH2NzzYl8mfOWOA6ru7YgnfuDuWq1mpys+zWZZWe+/yg5ysda+/dnlV3rqp0/NmBz/LswGetjrX2aM3ae9ZWahs9IJroAda/HL1dvNl8/+ZKbZ+85kmevOZJq2POBmd2P7S7UtvHwx7n8bDHKx3f9dAuFEWxDKsBPNzrYR7s+WClBGrN3WpRaMWhuTtD7mRM5zGVErYfx/+ICZNVMjkyeCTXBl2Li97Fqu1noz6jzFRmlTje2O5Gfr39V1wM1m3fv+l9io3FBHqUr2fVP6A/P4z/ATeD9arEr173KoVlhbTzbmc51tOvJ1+P+brSef858J/klebR0aej5Vhn384sGrmoUtuosCju63EfnX07W4619WrLR5EfWQ1FAjzS+xHGdB7DVS2ushxr6dqS94a9Z3XNAe7qdheDgwbjobRnxYZT7E3KxknnzuwbZlf6pDum8xi6+3UnpGX5opXOBmdeGvISgFXMER0iCPQItGoL5T/DHs4elmOD2w7G1eBaqe3Uq6dSZirDx6V8L6aw1mFMDZtK1xZdrdpO6jOJwrJCWrq1tBzr6deTyX0nW10zgLu7301OSQ6tPcqXSejs25mHej1EsE+wVdtbutzCucJztPFoYznWzqsd93S7h/be7a3a3tTxJrr7dSfAI8ByrLVHa8ZfNZ5AT+u10Aa3HUyARwBBnuUfclq4tuDmTjdbhs0rvmcXvQttPdtajnk5ezG0/VDLULhZD78eFJQWWLV1c3IjPDAc90uGv4J9gukf0N/q59rZ4Exo61AMOoNV27aebendqrfVdTDoDPTw66HeqfC/rb+7P11bdLV+H10jCd4cCwZnq3P7uvjS3qu91fcNINAzkDKlDIO+vK27kzut3Vtb/TyYr5uz3hl9hc/sLnoXvJ29rT4Amq+Fu5O71f8HBr0BZ72z1WuB+uGyug989Rnqr+rDnqWE4JLXMikmTIrJ6jkmk4kSU4nVBw6AQmMhBWUFVr1bJpOJ3JJcnHTWvyNyS3PJLMq0+lBXZiojvTC90jXLLs4mJT+FvNI8q7ZJueoHuorX4lzhORKzE6166UyKiWNZx6zeJ6gfFg9lHqJ/QH+r67D/3H4Aqw+4aQVpxGXEWf1OA9iVtosiYxElpvJrkZyXzNaUrZaSErNtKdu4UHyBgtLyZP1s/lnWnVlX6fu58exGUvJTeKyvdU+8LchGuldQcSO+Gb8co0t8DAadiQ+Ve3h6RAh/v6ELTgbpoBPaUBSFwbNjScsp5uvJ4Vx7ldQtCRsqyoG3OoOpDKbthlZXXfk5jZCiKJbEpWLCVWoqRVEUDDqDJekqM5VRYixBp9NZJSD5pfkYFSPuBnecDeoHvlJjKbmluRh0BqsEOKsoixJTCd4u5YlfibGE84Xn0ev0BHiWJ+bnCs9RWFpIC7cWlg+MJcYSzuSdQY/eaqQiNT+V3JJc/N39LYlqibGE41nH0el05Ukwav1rVnEWbTzaWJLlUlMpB88dREHh6jZXW9qezjlNWkEabT3bWj5MGE1GdqSpZSgDAwZars/J7JOcyTtDkGcQXVp0sVzfDWc2oKCoH3IvfgBLzE7kRNYJ2nq1pVerXpbXW3NqDWVKGTe2u9HyAexE9gniz8fTzqudVWy/Jf5GibGEiI4RloT7RPYJ9qTtoa1XW64NutbS9pfjv1BQWkBkp0haubey6Ua6kixdgfliR7y+khPZ6qXqHeTDnHvC6B7ofYVnC2F/T36zh5/3JvPk8BCiL1m8Uoh6WzwWTv4Fo9+C8P+7cnshGglbJkvSJVJDx9Lz0evgqeEhLI+6ThIl0WhY1luSxSmFPZi3O0mQJQRE8yXJUg3pgJ+irueZEd1wlmE30YiYV/Lek5RFUansGShszLze0sm/1CUEhGiG5K9+NWJiYujVqxcDBw4E1Mlda4+kX/5JQmigi78nrb1dKSkzEZeUpXU4wtG06QU+7aCsCE5u0joaITQhyVI1Ll1naWpEV+asPsq82ASNIxPCmk6nI7yz2ru07YRsfSJsTKerMBT3x+XbCuGgJFmqoSnDriJ6RDdJmESjFH6xbkk21RV2IVufiGZO1lmqhSeHq+vJGE0ygVA0LkMu1i3tPn2B4jIjrk6GKzxDiFroPBT0TpB5As4fb7JLCAhRV9KzVEtPDg/hGZmeLRqZq1p74e/lQnGZib1J2Vd+ghC14eYDHYeoXx9bo20sQmhAkiUhHIBatyRLCAg7Mg/FyRICohmSZEkIB2FeQmBbohR5CzvoKksIiOZLkiUhHIR5ccqdpzIpKTNdobUQtdSmZ4UlBDZqHY0QDcrhk6WsrCwGDBhAWFgYffr04ZNPPrnyk4RogkLaeOHn6UJRqYn9Z7O0Dkc4GqslBGQoTjQvDp8seXt7s2HDBuLi4ti2bRuvv/46589LTYdwPDqdjkHB6lDcVllvSdhDyM3qv7KEgGhmHD5ZMhgMeHiouxoXFxeru0/L3sHCQQ3uYk6W5AOBsIMuQ0HvXL6EgBDNhObJ0oYNGxg3bhxBQUHodDqWL19eqU1MTAzBwcG4ubkRHh7O9u3ba/UaWVlZhIaG0r59e5599ln8/f1tFL0QjYt5ccpdpy5QapS6JWFjrt7QcbD6tQzFiWZE82QpPz+f0NBQYmJiqnx86dKlREdHM2vWLHbv3k1oaCgjR44kPb18nzZzPdKlt+TkZABatGjB3r17SUxM5OuvvyYtLa1B3psQDa17gDctPJwpKDGy/6ystyTsQFbzFs2Q5it4jx49mtGjR1f7+Jw5c5g8eTKTJk0CYMGCBaxcuZJFixbx/PPPAxAXF1ej1woICCA0NJS//vqLu+66q8o2xcXFFBcXW+7n5OTU8J0IoT29Xq1b+iM+jW0nMrmmY0utQxKOJuRmWD1TnRFXWgjO7lpHJITdad6zdDklJSXs2rWLyMhIyzG9Xk9kZCRbtmyp0TnS0tLIzc0FIDs7mw0bNtC9e/dq28+ePRtfX1/LrUOHDvV7E0I0MPNQ3LZEqVsSdtC6B/i0lyUERLPSqJOlc+fOYTQaCQgIsDoeEBBAampqjc5x6tQpbrjhBkJDQ7nhhhuYNm0affv2rbb9jBkzyM7OttySkpLq9R6EaGjmIu8diZmUSd2SsDWdDkLMSwj8oW0sQjQQzYfh7G3QoEE1HqYDcHV1xdXVlZiYGGJiYjAajfYLTgg76BHog4+bEzlFZRxMziG0QwutQxKOpusI2LVYirxFs9Goe5b8/f0xGAyVCrLT0tIIDAy062tHRUURHx/Pjh077Po6QtiaQa9j0MV94mQJAWEX5iUELiTKEgKiWWjUyZKLiwv9+/cnNjbWcsxkMhEbG8uQIUPs+toxMTH06tWLgQMH2vV1hLCHwbJPnLAnV2/odPF3sPQuiWZA82QpLy+PuLg4y1BZYmIicXFxnD59GoDo6Gg++eQTPv/8cw4dOsTjjz9Ofn6+ZXacvUjPkmjKwi/2LO1IzMRokkVYhR10lSUERPOhec3Szp07iYiIsNyPjo4GYOLEiSxevJgJEyaQkZHBzJkzSU1NJSwsjFWrVlUq+hZClOsV5IO3qxO5xWXEJ+fQt72v1iEJRxMyAla/CIl/QUkBuHhoHZEQdqN5sjRs2LArbj8ydepUpk6d2kARqaTAWzRlBr2OgZ39+PNwOtsSz0uyJGzPvIRAzhl1CYFuN2sdkRB2o/kwXGMlw3CiqSvfJ07qloQd6HSymrdoNiRZEsJBmeuWtieel7olYR/mZEmKvIWDk2SpGjIbTjR1vYN88HJV11s6nCrb9gg76HyjLCEgmgVJlqohw3CiqXMy6BkQrO4NJ0Nxwi6slhCQ1byF46pTsrR27VpbxyGEsAPzUNw2WZxS2EvIxcJuGYoTDqxOydKoUaO46qqrePXVV2XvNCEaMXOR9/aTmZikbknYg3m9pZMb1SUEhHBAdUqWzp49y9SpU/n+++/p0qULI0eO5Ntvv6WkpMTW8WlGapaEI+jTzhcPFwNZBaUcScvVOhzhiFp3B98OYCxWEyYhHFCdkiV/f3+eeeYZ4uLi2LZtG926deOJJ54gKCiIJ598kr1799o6zgYnNUvCETgb9PTvpNYtyVCcsAudDroOV79OXK9tLELYSb0LvK+55hpmzJjB1KlTycvLY9GiRfTv358bbriBgwcP2iJGIUQ9DO5ysW5J9okT9tJhsPrvmZ3axiGEndQ5WSotLeX7779nzJgxdOrUid9//5358+eTlpbGsWPH6NSpE3fffbctYxVC1EHFTXWvtFq+EHXS/mK5QkoclDlOOYYQZnXa7mTatGl88803KIrCQw89xFtvvUWfPn0sj3t6evLOO+8QFBRks0Abmmx3IhxF33YtcHc2kJlfQkJ6Ht0CvLUOSTiaVleBWwsoyoK0A9DuGq0jEsKm6tSzFB8fzwcffEBycjJz5861SpTM/P39m/QSA1KzJByFi1N53dJWqVsS9qDTlfcuyVCccEB1SpZmzZrF3Xffjaurq9XxsrIyNmzYAICTkxNDhw6tf4RCiHoL73xxKE4WpxT20mGQ+u+Z7drGIYQd1ClZioiIIDOz8i/d7OxsIiIi6h2UEMK2Bl9lLvI+L3VLwj7aD1D/PSO98cLx1ClZUhQFnU5X6fj58+fx9PSsd1BCCNvq194XVyc95/JKOJ6Rp3U4whG16w/o4MJJyMvQOhohbKpWBd533HEHADqdjkceecRqGM5oNLJv3z6uvfZa20YohKg3VycD/Tu1ZPPx82w9kUnXNlLkLWzMzVddoDLjMJzdCd1Hax2REDZTq54lX19ffH19URQFb29vy31fX18CAwP5+9//zpdffmmvWBuUrOAtHI15nzgp8hZ2I0NxwkHVqmfps88+AyA4OJjp06c79JBbVFQUUVFR5OTk4Ovrq3U4QtRb+CXrLVU1lC5EvbQfCHu+lGRJOJw6z4Zz5ERJCEcU1qEFLk56MnKLSTyXr3U4whG1vzgj7uxuMMkadcJx1Lhn6ZprriE2NpaWLVty9dVXX/ZT6e7du20SnBDCdtycDVzdoQXbEjPZeiKTLq29tA5JOJrW3cHFG0pyIf0QBFZeg0+IpqjGydKtt95qKei+7bbb7BWPEMKOBndpxbbETLYlnuf+8I5ahyMcjd6grt6duF4dipNkSTiIGidLs2bNqvJrIUTTEd7FD2LVxSmlbknYRfuBF5OlnTBgktbRCGETdd5IVwjR9FzTsSUuBj2pOUWcOl+gdTjCEVm2PZEib+E4atyz1LJlyxp/Cq1qdW8hhPbcnA2EdWjB9pPqUFywv0zUEDZmTpbOHYHCC+DeUtt4hLCBGidLc+fOtWMYjU9MTAwxMTEYjTKjQziW8C5+arJ0IpMJA6VuSdiYZyvw6wKZJ+DsLugaqXVEQtRbjZOliRMn2jOORkfWWRKO6ppO6if9fWezNY5EOKz2A9Vk6cxOSZaEQ6hxspSTk4OPj4/l68sxtxNCND59gtTk/3hGHgUlZXi41GptWiGurP1A2LdU6paEw6hVzVJKSgpt2rShRYsWVdYvmWfXyNCVEI1Xa29XAnxcScsp5lBKDv07+WkdknA0lm1PdoLJBHqZSySathonS3/++Sd+fuov1bVr19otICGE/fVt50taTjr7z2RLsiRsL6APOLlDURZkHgf/EK0jEqJeapwsDR06tMqvhRBNT+8gX9YcSudA8uWH1IWoE4MzBF0NpzdD0nZJlkSTV+dihQsXLrBw4UIOHToEQK9evZg0aZKl90kI0Xj1aafWLR2QIm9hL+0HqMnSmR1w9QNaRyNEvdRpIHnDhg0EBwczb948Lly4wIULF5g3bx6dO3dmw4YNto5RCGFjfdqpkzAS0vMoKpUaQ2EHlsUpd2obhxA2UKdkKSoqigkTJpCYmMiPP/7Ijz/+yIkTJ7j33nuJioqydYw2UVBQQKdOnZg+fbrWoQihuUAfN/y9XDCaFA6n5modjnBE5mQp/SAU52kbixD1VKdk6dixY/zjH//AYDBYjhkMBqKjozl27JjNgrOl1157jcGDB2sdhhCNgk6no3eQDMUJO/JpCz7tQTFB8h6toxGiXuqULF1zzTWWWqWKDh06RGhoaL2DsrWEhAQOHz7M6NGjtQ5FiEbDPBQnyZKwmw7mobjt2sYhRD3VOFnat2+f5fbkk0/y1FNP8c4777Bx40Y2btzIO++8wzPPPMMzzzxTqwA2bNjAuHHjCAoKQqfTsXz58kptYmJiCA4Oxs3NjfDwcLZvr93/eNOnT2f27Nm1eo4Qjq6vucg7WZIlYSdStyQcRI1nw4WFhaHT6VAUxXLsueeeq9Tu/vvvZ8KECTUOID8/n9DQUB599FHuuOOOSo8vXbqU6OhoFixYQHh4OHPnzmXkyJEcOXKENm3aWGIrKyur9Nw//viDHTt20K1bN7p168bmzZtrHJcQjs48DHckNZeSMhMuTrJwoLAxS7K0AxQFargZuxCNTY2TpcTERLsEMHr06MsOj82ZM4fJkyczadIkABYsWMDKlStZtGgRzz//PABxcXHVPn/r1q3873//47vvviMvL4/S0lJ8fHyYOXNmle2Li4spLi623L/S1i5CNFXtW7rj6+5MdmEpR9NyLcsJCGEzgf1A7wz5GZB1CloGax2REHVS42SpU6dO9oyjSiUlJezatYsZM2ZYjun1eiIjI9myZUuNzjF79mzLENzixYs5cOBAtYmSuf1//vOf+gUuRBOg0+no286XjcfOceBstiRLwvac3aBtPzi7Sx2Kk2RJNFH12kEzPj6e06dPU1JSYnV8/Pjx9QrK7Ny5cxiNRgICAqyOBwQEcPjwYZu8xqVmzJhBdHS05X5OTg4dOnSwy2sJobXe7XzUZEnqloS9tB94MVnaAX3v0joaIeqkTsnSiRMnuP3229m/f79VHZN5c93GupHuI488csU2rq6uuLq6EhMTQ0xMTKN9L0LYQh/L8gEy3CzspP1A2LZA3fZEiCaqThWdTz31FJ07dyY9PR0PDw8OHjzIhg0bGDBgAOvWrbNZcP7+/hgMBtLS0qyOp6WlERgYaLPXqUpUVBTx8fHs2LHDrq8jhJbMQ2+HUnIoM5o0jkY4JHORd+o+KC3UNhYh6qhOydKWLVt4+eWX8ff3R6/Xo9fruf7665k9ezZPPvmkzYJzcXGhf//+xMbGWo6ZTCZiY2MZMmSIzV6nKjExMfTq1YuBAwfa9XWE0FInPw+8XZ0oLjNxLENWWRZ20KIjeLYBUxmk7NM6GiHqpE7JktFoxNvbG1B7f5KTkwG1CPzIkSO1OldeXh5xcXGWGW2JiYnExcVx+vRpAKKjo/nkk0/4/PPPOXToEI8//jj5+fmW2XH2Ij1LojnQ63X0CjIvTilDccIOdDrrJQSEaILqVLPUp08f9u7dS+fOnQkPD+ett97CxcWFjz/+mC5dutTqXDt37iQiIsJy31xcPXHiRBYvXsyECRPIyMhg5syZpKamEhYWxqpVqyoVfQsh6qZPO1+2JWZy4Gw2d/Vvr3U4whG1HwBHVkqyJJqsOiVLL7zwAvn5+QC8/PLLjB07lhtuuIFWrVqxdOnSWp1r2LBhVgtdVmXq1KlMnTq1LqHWmRR4i+bCspK3bHsi7KXDIPVfSZZEE6VTrpSp1FBmZiYtW7a0zIhzFDk5Ofj6+pKdnY2Pj4/W4Qhhc8fSc4mcswEPFwP7XxqJQe9Y/w+LRqAkH2Zf3FT3mXjwbad1RKIZsOXf73rvb5CUlERSUhJ+fn4OlygJ0Rx09vfC3dlAQYmRxHP5WocjHJGLJwT0Vr8+K/vEiaanTslSWVkZL774Ir6+vgQHBxMcHIyvry8vvPACpaWlto5REzIbTjQXBqsibxmKE3YiRd6iCatTsjRt2jQ+/vhj3nrrLfbs2cOePXt46623WLhwoU2XDtCSzIYTzYnULQm7syRL0rMkmp46FXh//fXX/O9//7PaALdfv3506NCB++67j48++shmAQoh7K+3uWdJtj0R9mJOlpL3gLEUDM7axiNELdSpZ8nV1ZXg4OBKxzt37oyLi0t9YxJCNDDzSt4Hz+ZgMtlkzocQ1lp1BbcWUFYEqfu1jkaIWqlTsjR16lReeeUViouLLceKi4t57bXXGnyKv71IzZJoTkLaeOHqpCe3uIzTmQVahyMckdXilDIUJ5qWGg/D3XHHHVb316xZQ/v27QkNDQVg7969lJSUMHz4cNtGqJGoqCiioqIsUw+FcGROBj092vqwNymLA8nZBPt7ah2ScETtB8Kx1WqRd/jftY5GiBqrcbJ0acJw5513Wt3v0KGDbSISQmiiT5CaLO0/m83YfkFahyMcUfsB6r8yI040MTVOlj777DN7xiGE0FjfCnVLQthFu/7qvxcSIf8cePprG48QNVSvRSkzMjLYuHEjGzduJCMjw1YxNQpSsySaG3OR94Hk7CtuQSREnbi3gNY91K+ld0k0IXVKlvLz83n00Udp27YtN954IzfeeCNBQUH87W9/o6DAMYpDZZ0l0dyEBHjhbNCRVVDK2axCrcMRjkqG4kQTVKdkKTo6mvXr1/PLL7+QlZVFVlYWP/30E+vXr+cf//iHrWMUQjQAVycD3QK8AVmcUtiRrOQtmqA6JUs//PADCxcuZPTo0fj4+ODj48OYMWP45JNP+P77720doxCigZSv5C11S8JOzMnS2d1gMmobixA1VKdkqaCggICAgErH27Rp4zDDcEI0R70r1C0JYRete4CLF5TkQcZhraMRokbqlCwNGTKEWbNmUVRUZDlWWFjIf/7zH4YMGWKz4IQQDatPhQ11pchb2IXeAO2uUb+WoTjRRNRpb7i5c+cyatSoSotSurm58fvvv9s0QK3ExMQQExOD0SjdxKL56NnWB4Nex7m8EtJyign0ddM6JOGI2g+CxA2QtAP6P6J1NEJcUZ2Spb59+5KQkMBXX33F4cNqN+p9993HAw88gLu7u00D1Iqs4C2aIzdnAyFtvDicmsuBs9mSLAn7kCJv0cTUOlkqLS2lR48erFixgsmTJ9sjJiGEhnoH+XI4NZf9Z7OJ7FW5NlGIejMvH3DuCBRmqesvCdGI1bpmydnZ2apWSQjhWPq0U+uWDkqRt7AXT39o2Vn9+uwubWMRogbqVOAdFRXFm2++SVlZma3jEUJoTJYPEA3CMhS3U9s4hKiBOtUs7dixg9jYWP744w/69u2Lp6f1DuU//vijTYITQjS8nm190OkgNaeIjNxiWnu7ah2ScEQdBsH+b+HMdq0jEeKK6pQstWjRgjvvvNPWsQghGgFPVye6+HtyPCOfA8nZRHRvo3VIwhFZtj3ZCSYT6Ou1VakQdlWrZMlkMvH2229z9OhRSkpKuOmmm3jppZccZgacEELVt50vxzPyOXhWkiVhJwF9wMkNirIg8zj4h2gdkRDVqlUq/9prr/Gvf/0LLy8v2rVrx7x584iKirJXbJqKiYmhV69eDBw4UOtQhGhwfaRuSdibwRmCrla/liUERCNXq2RpyZIlfPjhh/z+++8sX76cX375ha+++gqTyWSv+DQTFRVFfHw8O3bI/8Si+ekdpCZL+2VDXWFPlqE4+T0rGrdaJUunT59mzJgxlvuRkZHodDqSk5NtHpgQQju9Ly4fcDarkAv5JRpHIxyWLE4pmohaJUtlZWW4uVmv6Ovs7ExpaalNgxJCaMvHzZngVh4AHEyWoThhJ+0Hqf+mHYTiPG1jEeIyalXgrSgKjzzyCK6u5VOJi4qKmDJlitXyAbJ0gBBNX+92vpw8X8D+s9lcH+KvdTjCEfm0BZ/2kHMGkvdA5xu0jkiIKtUqWZo4cWKlYw8++KDNghFCNB59gnxZuS+FA7KSt7Cn9gMg/ow6FCfJkmikapUsffbZZ/aKQwjRyJhX8j4oRd7CntoPhPjlspK3aNRkFTAhRJV6B6lF3ifPF5BTJHWJwk4qFnkriraxCFGNZpEsBQcH069fP8LCwoiIiNA6HCGahJaeLrRroS44e1DWWxL20jYU9M6Qnw5Zp7WORogq1Wm7k6Zo8+bNeHl5aR2GEE1K33a+nM0q5GByNkOuaqV1OMIRObtB235wdpfau9Syk9YRCVFJs+hZEkLUTZ+L6y0dkLolYU+y3pJo5DRPljZs2MC4ceMICgpCp9OxfPnySm1iYmIIDg7Gzc2N8PBwtm+v3S7VOp2OoUOHMnDgQL766isbRS6E4+vdTlbyFg1AkiXRyGk+DJefn09oaCiPPvood9xxR6XHly5dSnR0NAsWLCA8PJy5c+cycuRIjhw5Qps26gafYWFhlJWVVXruH3/8QVBQEBs3bqRdu3akpKQQGRlJ37596devn93fmxBNXZ+L256cOJdPfnEZnq6a/8oQjsi87UnKPigrBifXy7cXooFp/ptv9OjRjB49utrH58yZw+TJk5k0aRIACxYsYOXKlSxatIjnn38egLi4uMu+Rrt27QBo27YtY8aMYffu3dUmS8XFxRQXF1vu5+RIYatovlp7uxLo40ZqThGHUnIYEOyndUjCEbXoBG6+UJQN545CYF+tIxLCiubDcJdTUlLCrl27iIyMtBzT6/VERkayZcuWGp0jPz+f3NxcAPLy8vjzzz/p3bt3te1nz56Nr6+v5dahQ4f6vQkhmjhz3ZIMxQm70ekgoI/6dVq8trEIUYVGnSydO3cOo9FIQECA1fGAgABSU1NrdI60tDSuv/56QkNDGTx4MA8//DADBw6stv2MGTPIzs623JKSkur1HoRo6npfHIo7IMsHCHtq00v9N+2AtnEIUQXNh+HsrUuXLuzdu7fG7V1dXXF1dSUmJoaYmBiMRqMdoxOi8bOs5C3bngh7CrjY4592UNs4hKhCo+5Z8vf3x2AwkJaWZnU8LS2NwMBAu752VFQU8fHx7NghszNE89bnYrKUkJ5HUal8eBB2YhmGk2RJND6NOllycXGhf//+xMbGWo6ZTCZiY2MZMmSIhpEJ0XwE+Lji7+WC0aRwKEWG4oSdtOmp/puXCvnntI1FiEtonizl5eURFxdnmdGWmJhIXFwcp0+ry95HR0fzySef8Pnnn3Po0CEef/xx8vPzLbPj7CUmJoZevXpdtr5JiOZAp9NZepcOJEuyJOzE1Qtadla/lt4l0choXrO0c+dOq/3aoqOjAZg4cSKLFy9mwoQJZGRkMHPmTFJTUwkLC2PVqlWVir5tLSoqiqioKHJycvD19bXrawnR2PUJ8mXdkQwOyow4YU8BveFCIqTHQ5ehWkcjhIXmydKwYcNQrrDT9NSpU5k6dWoDRaSSAm8hysnyAaJBBPSGwytkRpxodDQfhmuspMBbiHLm5QOOpuVSXCYfIISdyIw40UhJsiSEuKL2Ld1p4eFMqVEhIS1P63CEozLPiEs/BCZJykXjIclSNaTAW4hyOp3Osk+cDMUJu2kZDM4eUFYEmSe0jkYIC0mWqiHDcEJY632xbumAJEvCXvSG8iUEpG5JNCKSLAkhaqSvLB8gGoKlbkn2iBONhyRLQogaMQ/DHUrJodRo0jga4bDaSJG3aHwkWaqG1CwJYa2jnwferk6UlJk4li5F3sJOLD1LMgwnGg9JlqohNUtCWNPrdfQKkrolYWfmZCnrFBTJkK9oHCRZEqKZeG/1UebFJlT52LzYBN5bffSK5zDXLR2UuiVhLx5+4B2kfp1+SNtYhLhIkiUhmgmDXsecKhKmebEJzFl9FINed8VzmPeIk+UDhF3JUJxoZDTf7kQI0TCeHB4CwJyLPUhPDg+xJErRI7pZHr8c87Yn8ck5GE1KjRIsIWotoDccW63uESdEIyDJUjVkbzjhiComTPP/PEaJ0VTjRAmgs78XHi4GCkqMJJ7Lo2sbb3uGK5or2fZENDIyDFcNKfAWjurJ4SG4GPSUGE24GPQ1TpRAHcrr1VY21RV2VjFZusJG60I0BEmWhGhm5sUmWBKlEqOp2qLv6pjrlg6clSJvYSetQkDvDMU5kJ2kdTRCSLIkRHNSsUbp6GujiR7Rrcqi78spT5akZ0nYiZMLtO6ufi1DcaIRkJolIZqJqoq5qyr6vhJzkffB5BxMJgW9FHkLewjorc6GSzsA3UdrHY1o5iRZqoYUeAtHYzQpVRZzm+8bTTWrDena2gtXJz15xWWcyiygs7+nzWMVQvaIE42JTlGkeu5ycnJy8PX1JTs7Gx8fH63DEaJRGPfBRvafzWbBg/0Z1SdQ63CEI0pYA1/dCf7dYep2raMRTZAt/35LzZIQotZC2ngBcCw9V+NIhMMy9yydT4DSIm1jEc2eJEtCiFrrGqAmSwmyoa6wF+9AcPcDxQQZh7WORjRzkiwJIWot5OJilAlpkiwJO9HpZHFK0WhIsiSEqDXzMNzxjLwaF4YLUWsBfdR/ZdsToTFJloQQtdbBzwMXJz3FZSbOXCjQOhzhqGRDXdFISLIkhKg1g17HVa0v1i3JUJywl4Be6r8yDCc0JslSNWJiYujVqxcDBw7UOhQhGiXLjLgMSZaEnbTuCeggPwPy0rWORjRjkixVQzbSFeLyzMmS9CwJu3HxgFZXqV/LUJzQkCRLQog6CQmQtZZEA5AZcaIRkGRJCFEnXc3LB6TnIRsBCLsxz4iTbU+EhiRZEkLUSadWHjgbdBSUGEnOlhWWhZ3IjDjRCEiyJISoE2eDnuBW6ia6CWkyFCfspM3FGXEZh8FYpm0sotmSZEkIUWfldUtS5C3spEUncPECYwmcP6Z1NKKZkmRJCFFnXWXbE2Fven1575IMxQmNNItkKTExkYiICHr16kXfvn3Jz8/XOiQhHIJl+QCZESfsSWbECY05aR1AQ3jkkUd49dVXueGGG8jMzMTV1VXrkIRwCOZhOPOMOJ1Op3FEwiGZkyXZI05oxOF7lg4ePIizszM33HADAH5+fjg5NYscUQi76+zviV4HuUVlpOcWax2OcFSW5QOkZ0loQ/NkacOGDYwbN46goCB0Oh3Lly+v1CYmJobg4GDc3NwIDw9n+/btNT5/QkICXl5ejBs3jmuuuYbXX3/dhtEL0by5OhkqzIiTuiVhJ216qv9mJ0FhlqahiOZJ82QpPz+f0NBQYmJiqnx86dKlREdHM2vWLHbv3k1oaCgjR44kPb18n6CwsDD69OlT6ZacnExZWRl//fUXH374IVu2bGH16tWsXr26od6eEA6vaxtZyVvYmXsL8O2gfi1DcUIDmo9HjR49mtGjR1f7+Jw5c5g8eTKTJk0CYMGCBaxcuZJFixbx/PPPAxAXF1ft89u1a8eAAQPo0EH9H23MmDHExcUxYsSIKtsXFxdTXFw+nJCTk1PbtyREsxIS4MUf8WkkyPIBwp4Ceqs9S2kHodO1WkcjmhnNe5Yup6SkhF27dhEZGWk5ptfriYyMZMuWLTU6x8CBA0lPT+fChQuYTCY2bNhAz549q20/e/ZsfH19LTdzkiWEqFpIhW1PhLAbWclbaKhRJ0vnzp3DaDQSEBBgdTwgIIDU1NQancPJyYnXX3+dG2+8kX79+hESEsLYsWOrbT9jxgyys7Mtt6SkpHq9ByEcXfkwnCRLwo4syZIMw4mGp/kwXEO40lBfRa6urri6uhITE0NMTAxGo9HO0QnRtF3V2gudDjLzSzifV0wrL1maQ9iBeUZcejyYTOpilUI0kEb90+bv74/BYCAtLc3qeFpaGoGBgXZ97aioKOLj49mxY4ddX0eIps7dxUD7lu6ADMUJO/K7CgyuUJIHWae0jkY0M406WXJxcaF///7ExsZajplMJmJjYxkyZIiGkQkhKpK6JWF3Bido3V39WtZbEg1M82QpLy+PuLg4y4y2xMRE4uLiOH36NADR0dF88sknfP755xw6dIjHH3+c/Px8y+w4e4mJiaFXr14MHDjQrq8jhCMwb3tyLE2WDxB2JItTCo1oXrO0c+dOIiIiLPejo6MBmDhxIosXL2bChAlkZGQwc+ZMUlNTCQsLY9WqVZWKvm0tKiqKqKgocnJy8PX1tetrCdHUdW1Tvu2JEHYjM+KERjRPloYNG4aiKJdtM3XqVKZOndpAEamkwFuImgsJkGE40QBkjzihEc2H4RorKfAWoubMPUsZucVkFZRoHI1wWOZhuPPHoaRA21hEsyLJkhCi3rxcnQjydQNkvSVhR16twbM1oEDGIa2jEc2IJEtCCJvoenEoTpIlYVeWuiUp8hYNR5KlashsOCFqJ0SKvEVDkBlxQgOSLFVDapaEqB1JlkSDkJ4loQFJloQQNtFV1loSDaFisnSFmdRC2IokS9WQYTghasecLCVnF5FbVKpxNMJh+XcHnQEKMyG3ZhuqC1FfkixVQ4bhhKidFh4utPZWN9E9npGvcTTCYTm7Qauu6tcyFCcaiCRLQgibsdQtyVCcsCdZyVs0MEmWhBA2Y9kjToq8hT1JkbdoYJIsCSFspqtseyIagiwfIBqYJEvVkAJvIWqvfPkAGYYTdmTuWTp3FMpkex1hf5IsVUMKvIWoPXOydOZCIQUlZRpHIxyWb3tw9QVTKZxP0Doa0QxIsiSEsJlWXq74ebqgKHBCZsQJe9HpIKCX+rUMxYkGIMmSEMKmuspQnGgIMiNONCBJloQQNiUz4kSDkBlxogFJslQNKfAWom4sPUtpkiwJO5IZcaIBSbJUDSnwFqJuQtqoywdIz5KwqzY91X9zU6AgU9tYhMOTZEkIYVMhAWrP0snz+RSXGTWORjgsV29o0Un9WnqXhJ1JsiSEsKk23q54uzlhUiDxnMyIE3YkQ3GigUiyJISwKZ1OV2GPOBmKE3YkM+JEA5FkSQhhc+a6Jdn2RNiVzIgTDUSSJSGEzZnrlo7JWkvCnszDcOmHwCT1ccJ+JFkSQticLB8gGoRfZ3Byh7JCuHBS62iEA5NkSQhhcyEB6jBc4rl8So0mjaMRDktvgDY91K+lbknYkSRL1ZBFKYWouyBfNzxdDJSZFE6dlxlxwo6kbkk0AEmWqiGLUgpRdzqdTobiRMOQ5QNEA5BkSQhhF11lJW/REGT5ANEAJFkSQtiFpWdJkiVhT20uJksXTkKxzL4U9uGkdQCOwGQyUVJSonUYQjQq3f1daedt4EJuPkVFRVqHIxyVwRMCroH8DEg+DG37ah3RZTk7O2MwGLQOQ9SSTlEUResgGrOcnBx8fX3Jzs7Gx8en0uMlJSUkJiZiMsmMHyEqKjOaSM0pRqeDIF93dDqtIxIOKy9DXT7A3Q9cvbSO5opatGhBYGAgOvmfwq6u9Pe7NqRnqR4URSElJQWDwUCHDh3Q62VUUwgzRVFQ0vNQFIX2rTxxcZZP08JOcj2g8Dy4tQSftlpHUy1FUSgoKCA9PR2Atm0bb6zCmiRL9VBWVkZBQQFBQUF4eHhoHY4QjY67WxmFpUZwcsHNzVnrcISjMnlDaSboS8HNTetoLsvd3R2A9PR02rRpI0NyTYTDd4UcOXKEsLAwy83d3Z3ly5fb5NxGo7q8vouLi03OJ4Sjcb3Ym1RUJltRCDtyVhMQSougCVSWmD9cl5aWahyJqCmH71nq3r07cXFxAOTl5REcHMyIESNs+hoy7ixE1dyc1M9jxaVS0yfsyMkV0IFiBGMpODXuD7DyN6PpcfiepYp+/vlnhg8fjqenp9ahCNEsWHqWSqVnSdiRTn8xYUIt9BbCxjRPljZs2MC4ceMICgpCp9NVOUQWExNDcHAwbm5uhIeHs3379jq91rfffsuECRPqGbEQoqZczT1LZSZk4q2wK8tQnCRLwvY0T5by8/MJDQ0lJiamyseXLl1KdHQ0s2bNYvfu3YSGhjJy5EjLbAKAsLAw+vTpU+mWnJxsaZOTk8PmzZsZM2aM3d+TI6gucbW14OBg5s6d22jOI2zL1UmPTqfDpCiyoa6wmfPnz9OmTRtOnjxZftDpYmF3mXZret177728++67mr2+sCOlEQGUZcuWWR0bNGiQEhUVZblvNBqVoKAgZfbs2bU695IlS5QHHnjgiu2KioqU7Oxsyy0pKUkBlOzs7EptCwsLlfj4eKWwsLBWsTQG6enpypQpU5QOHTooLi4uSkBAgHLzzTcrGzduVBRFUVJSUpSioiK7x9GpUyflvffeq3H7zz77TPH19a10PD09XcnPz7ddYMICuOxt1qxZl33+kdQcZW/SBSW7oMRy7MCBA8odd9yhdOrUSQGq/RmYP3++0qlTJ8XV1VUZNGiQsm3bNhu+M8e0efNmRa/XK2PGjNE6FLt55plnlMcee8zq2NNTH1duHx2hKOmHNYpKUfbv36+0bNlSycrKumy7pvy3oynJzs6u9u93bWnes3Q5JSUl7Nq1i8jISMsxvV5PZGQkW7ZsqdW5ajoEN3v2bHx9fS23Dh061DrumnrppZd45ZVXqnzslVde4aWXXrLba995553s2bOHzz//nKNHj/Lzzz8zbNgwzp8/D0BgYCCurq52e31ba926tSzfYCcpKSmW29y5c/Hx8bE6Nn369Ms+v3worrxuqaCggC5duvDGG28QGBhY5fNq0qssKlu4cCHTpk1jw4YNVr3r9tSQOxgUFBSwcOFC/va3v1kd375rDwP69YKyYs1mxPXp04errrqKL7/8UpPXF3Zkg+TNZrikZ+ns2bMKoGzevNmq3bPPPqsMGjSoxufNyspS2rRpoxQXF1+xbUP2LL388ssKoLz88ss1Om4rFy5cUABl3bp11bap+L1ITExUAGXp0qXK9ddfr7i5uSkDBgxQjhw5omzfvl3p37+/4unpqYwaNUpJT0+3nGPo0KHKU089ZXXeW2+9VZk4caLl/qU9S++++67Sp08fxcPDQ2nfvr3y+OOPK7m5uYqiKMratWur7dW49DynTp1Sxo8fr3h6eire3t7K3XffraSmploenzVrlhIaGqosWbJE6dSpk+Lj46NMmDBBycnJqd3FbGaq69m7nNTsQmVv0gUl6XzVPX/V9S7aqle5OcnNzVW8vLyUw4cPKxMmTFBee+01q8eHDh2qREVFKVFRUYqPj4/SqlUr5YUXXlBMJlOd2jz11FNKq1atlGHDhilFRUXKtGnTlNatWyuurq7Kddddp2zfvt3ynPT0dCUgIMAqpk2bNinOzs7KmjVravwev/vuO6V169aW+8XFxYqTk5PV74XwGv59KCsrU+Lj42v82jXxn//8R7n++usv20Z6lhpGs+lZshVfX1/S0tJqtB6Sq6srPj4+fPHFFwwePJjhw4fbLa4XX3yRl19+mZkzZ1p6mF555RVmzpzJyy+/zIsvvmiX1/Xy8sLLy4vly5dTXFxc4+fNmjWLF154gd27d+Pk5MT999/Pc889x/vvv89ff/3FsWPHmDlzZr1i0+v1zJs3j4MHD/L555/z559/8txzzwFw7bXXVurZqKpXw2Qyceutt5KZmcn69etZvXo1J06cqNSzePz4cZYvX86KFStYsWIF69ev54033qhX/LWlKAoFJWWa3BQbf/o2/1xdersqyJ/B3dvz7DPTanwuW/Yq20JBaQEFpQVW16zUWEpBaQElxpIq25qU8hqtUpPatthYXKO2dfXtt9/So0cPunfvzoMPPsiiRYsqfZ8///xznJyc2L59O++//z5z5szh008/rVMbFxcXNm3axIIFC3juuef44Ycf+Pzzz9m9ezddu3Zl5MiRZGZmAmrv76JFi3jppZfYuXMnubm5PPTQQ0ydOrVWv2f/+usv+vfvb7nv5OTEpk2bAIiL/Z6UPX+w6ucfanSulStXMnjw4CtOGnrxxRfp3r07Dz30EDk5Ofz000/069ePG2+8kb1791q1HTRoENu3b6/V71bR+DXqdZb8/f0xGAykpaVZHU9LS6u2695WoqKiiIqKsuwtYy/mhGjmzJm8+uqrlJSU2DVRAvWXy+LFi5k8eTILFizgmmuuYejQodx7773069ev2udNnz6dkSNHAvDUU09x3333ERsby3XXXQfA3/72NxYvXlyv2J5++mnL18HBwbz66qtMmTKFDz/8EBcXF3x9fdHpdJf9/sfGxrJ//34SExMtw6hLliyhd+/e7Nixg4EDBwJqUrV48WK8vb0BeOihh4iNjeW1116r13uojcJSI71m/t5gr1dR/Msj8XCx3a8A83pmlyouNZJ4Lh8fHx8URanRGjPnzp3DaDQSEBBgdTwgIIDDhw/bItxaCf86HID1E9bj5+YHwGcHP+ODPR9wZ8idvHTtS5a2w74dRmFZIavuXEU7r3YA/O/w/3hrx1uM6TyGN29809J21A+juFB8gWXjl9G1ZVcAfjr2E3d1u6tOcS5cuJAHH3xQPfeoUWRnZ7N+/XqGDRtmadOhQwfee+89dDod3bt3Z//+/bz33ntMnjy5Vm1CQkJ46623AHWizkcffcTixYsZPXo0AJ988gmrV69m4cKFPPvsswCMGTOGyZMn88ADDzBgwAA8PT2ZPXt2rd7jqVOnCAoKstzX6/UkJyfTqlUrQkNDoTgXvGq2ivf48eN57rnnuPnmm1mzZg0DBgyo1GbVqlVcuHCBnTt38v7773PnnXeSmZnJjz/+iMlk4oknnmDNmjWW9kFBQZSUlJCamkqnTp1q9d5E49Woe5ZcXFzo378/sbGxlmMmk4nY2FiGDBli19eOiYmhV69elj+s9vTiiy/i4uJCSUkJLi4udk2UzO68806Sk5P5+eefGTVqFOvWreOaa665bLJTMZEy/xHr27ev1bH61pOsWbOG4cOH065dO7y9vXnooYc4f/48BQUFNT7HoUOH6NChg1W9Wa9evWjRogWHDh2yHAsODrYkSqDu0yT1MHXXtWvXKm89e3SjU+eraNHKnzKjLB9gL0eOHGH79u3cd999gPqhaMKECSxcuNCq3eDBg60S1iFDhpCQkGDZkaCmbSr27hw/fpzS0lLLBycAZ2dnBg0aZPX/HMA777xDWVkZ3333HV999VWtayMLCwtxu2RLkz179qiJkmVGXHmvzrp169DpdNXeXnjhBbKzs6utad2zZw8TJ07E29ubF154gczMTJ577jm6du1Kt27daNWqlVXNlnk7k9r8zhKNn+Y9S3l5eRw7dsxyPzExkbi4OPz8/OjYsSPR0dFMnDiRAQMGMGjQIObOnUt+fj6TJk2ya1wN1bME6tCbOVEqKSnhlVdeaZCEyc3NjREjRjBixAhefPFFHnvsMWbNmsUjjzxSZXtn5/K9vcy/SC89ZjKVDyfo9fpKQwCXW97/5MmTjB07lscff5zXXnsNPz8/Nm7cyN/+9jdKSkpsXsBdMfaq4m8I7s4G4l8e2aCvWfG1bcnLq/rd3hUFxtxxN4s++Rhnpyt/RtOyV7kq2+7fBoC7k7vl2KTek3iw54M46a1/ja67Zx0Abk7lf9Dv7XEvd4bciUFvfc1X3bmqUttbu95apxgXLlxIWVmZVa+Loii4uroyf/58m/8eq+vivsePHyc5ORmTycTJkyetPnDVhL+/PxcuXLA6FhcXdzFZMi9MWb58QFUJW0Xffvstr7zyCm+//XaVj3fv3p1Vq1YxcOBAVq9ejU6n44033mD48OE4OTlVKvGoOOwoHIfmydLOnTuJiIiw3I+OjgZg4sSJLF68mAkTJpCRkcHMmTNJTU0lLCyMVatWVeqeb6ourVEy3wcaJGGqqFevXjZdW6l169akpKRY7huNRg4cOGD1/a5o165dmEwm3n33XfR69Q/qt99+a9XGxcXF6tNtVXr27ElSUhJJSUmW3qX4+HiysrLo1atXfd6Szel0OpsOhWmpumE4gLMXCjA5u1NcasK7BiMkFXuVb7vtNqC8V3nq1Km2CbgWPJwrJ+rOBmecDZU3B66yrd4ZZ33N29ZWWVkZS5Ys4d133+Xmm2+2euy2227jm2++YcqUKQBs27bN6vGtW7cSEhJitaFrTdpUdNVVV1nql8xDT6WlpezYscNqaL2kpIQHH3yQCRMm0L17dx577DH2799PmzZtavxer7766kqzzfbv38+dd95ZZc+Sh4cHPXr0qPJcq1evZvbs2XzzzTfccccdVba5/fbb+e233+jYsSNBQUH89NNPrFy5ktDQUNzd3fnwww+t2h84cID27dvj7+9f4/ckmoB6l4g7qPnz5ys9e/ZUunXr5nCz4c6dO6dEREQoX3zxhbJ3717lxIkTyrfffqsEBAQojz76qKIoVc+G27Nnj+Uc5plpFy5csBy7dKbUggULFA8PD2XFihXKoUOHlMmTJys+Pj7VzoaLi4tTAGXu3LnK8ePHlSVLlijt2rWzep1NmzYpgLJmzRolIyPDsrZSxfOYTCYlLCxMueGGG5Rdu3Yp27ZtU/r3768MHTrU8rrm2XAVvffee0qnTp3qeFWbh7rMhlMURUnJujgjLlP9fhUXFyt79uxR9uzZo7Rt21aZPn26smfPHiUhIcHynP/973+Kq6ursnjxYiU+Pl75+9//rrRo0cJqVqNQLVu2THFxcalyfZ/nnntOGTBggKIo6iw2Ly8v5ZlnnlEOHz6sfP3114qnp6eyYMECS/uatrl0putTTz2lBAUFKb/99pty8OBBZeLEiUrLli2VzMxMS5vp06crwcHBSnZ2tmI0GpXrr79eueWWWyyPf/DBB8pNN9102fe6b98+xcnJyeq8nTp1Uv71r38pZ08lKlmH1ivK2T2KYjJe8brl5OQoq1atumK7qlScHVjRxIkTLb9HqyOz4RqGLWfDSbJ0BZe72PX9gZ81a1a1CdHLL798xcX+6qqoqEh5/vnnlWuuuUbx9fVVPDw8lO7duysvvPCCUlBQoCiKbZKlkpIS5fHHH1f8/PyUNm3aKLNnz77i0gFz5sxR2rZtq7i7uysjR45UlixZUul1pkyZorRq1comSwdUJMnSldU1WbqQX6zsTbqgHEtTl4Ew/0xdequY0CqK+sezY8eOiouLizJo0CBl69atNngXjmfs2LHVLkK5bds2BVD27t2rDB06VHniiSeUKVOmKD4+PkrLli2Vf/3rX5WWBahJm0uTpcLCQmXatGmKv79/lUsHrF27VnFyclL++usvy7HExETFx8dH+fDDDxVFUf+/rMn/g4MGDbJK3r744gslKChIAZTpUx5WlLO7FaWk4RORwsJCxdfXV9myZcsV20myZH+2TJZ0iiIbNl2OuWYpOzsbHx8fq8eKiopITEykc+fOlQoOhRDlCkvKSEjPw6DX0autj+y6rpFhw4YRFhZ22a2BatJGaytXruTZZ5/lwIEDliF7i/TD6ma6LbuAu33rTS/10UcfsWzZMv7444/LtpO/HQ3jcn+/a8sxiiXsICYmhpiYmCvWxwghrszVSa11MZoUykwKzgZJlkTd3XLLLSQkJHD27NnKuyw4uanJkrEIaNhkydnZmQ8++KBBX1M0DEmWqtGQs+GEcHR6vQ4XJz0lZSaKS404Gxr1qiWiCahYOG7FMiOu4ReFfOyxxxr8NUXDkGRJCNEg3JwMlJSZKCozUf0iA8Ke1q1bZ5M2jVoVywcIUV/y8a4aDbkopRDNgauzeUPdhl3LSjQzVSwfIER9SbJUjaioKOLj49mxY4fWoQjhEMx1S8WlUgco7Mjcs2QqU29C2IAkS0KIBuF2sWepqFR6loQd6Q1gXthTepeEjUiyJIRoEOaepTKTiTKjJEzCjqRuSdiYJEtCiAZh0OtwMUjdkmgAUrckbEySpWpIgbcQtud6cfPeIqlbEvYkPUvCxiRZqoYUeAthe65O0rMkGoD0LAkbk2SpGduyZQsGg4FbbrlF61BEI6bT6S57e+mll2p8LnOR9+JFn3LDDTfQsmVLWrZsSWRkJNu3b7dqqygKM2fOpG3btri7uxMZGUlCQoIt35pwVBUXppQdvYQNSLLUjC1cuJBp06axYcMGkpOT7f56JSUldn8NYXspKSmW29y5c/Hx8bE6Nn369Bqfy1zkvXnjX9x3332sXbuWLVu20KFDB26++WbOnj1rafvWW28xb948FixYwLZt2/D09GTkyJEUFcnQirgCgwugAxQwyu8dUX+SLDVTeXl5LF26lMcff5xbbrmFxYsXWx5bt24dOp2OlStX0q9fP9zc3Bg8eDAHDhywtFm8eDEtWrRg+fLlhISE4ObmxsiRI0lKSrK0eemllwgLC+PTTz+12jDy9OnT3HrrrXh5eeHj48M999xDWloaAIcPH8bDw4Ovv/7acp5vv/0Wd3d34uPj7XxVRFUCAwMtN19fX3Q6ndUxL6+ar8dtXpjy9Xkf839TphAWFkaPHj349NNPMZlMxMbGAmqv0ty5c3nhhRe49dZb6devH0uWLCE5OZnly5fb420KR6LTabrtiXA8kizZkKIo5Ofna3JTatnV/O2339KjRw+6d+/Ogw8+yKJFiyqd49lnn+Xdd99lx44dtG7dmnHjxlFaWmp5vKCggNdee40lS5awadMmsrKyuPfee63OcezYMX744Qd+/PFH4uLiMJlM3HrrrWRmZrJ+/XpWr17NiRMnmDBhAgA9evTgnXfe4YknnuD06dOcOXOGKVOm8Oabb9KrV686fmcaMUWBknxtbjYenvDy8rrsbcqUKTjp9ZZ94Squt1RQUEBpaSl+fn4AJCYmkpqaSmRkpKWNr68v4eHhbNmyxaZxCwclRd7ChmRvuGrExMQQExOD0VjzWTsFBQW1+pRtS3l5eXh6eta4/cKFC3nwwQcBGDVqFNnZ2axfv55hw4ZZ2syaNYsRI0YA8Pnnn9O+fXuWLVvGPffcA0BpaSnz588nPDzc0qZnz55s376dQYMGAerQ25IlS2jdujUAq1evZv/+/SQmJlp2C1+yZAm9e/dmx44dDBw4kCeeeIJff/2VBx98EBcXFwYOHMi0adPqd4Eaq9ICeD1Im9f+VzK41Pxn5kri4uIu+7iPjw+gFnmXGk0Ul5nwvPj37J///CdBQUGW5Cg1NRWAgIAAq3MEBARYHhPispzcgGzpWRI2IclSNaKiooiKiiInJwdfX1+tw7GpI0eOsH37dpYtWwaAk5MTEyZMYOHChVbJ0pAhQyxf+/n50b17dw4dOmQ55uTkZLW0Qo8ePWjRogWHDh2yJEudOnWyJEoAhw4dokOHDpZECaBXr16W55nPt2jRIrp164Zer+fgwYPodDrbXgRhc127dq1ROzdnA3nFZRSXqR9E3njjDf73v/+xbt06y1CtEPUmPUvChiRZsiEPDw/y8vI0e+2aWrhwIWVlZQQFlfdoKIqCq6sr8+fPt2lctentqmjv3r3k5+ej1+tJSUmhbdu2No2r0XD2UHt4tHptG7pSr+qDDz7IggULLMsHFJWaeOedd3jjjTdYs2YN/fr1s7QNDAwEIC0tzep7n5aWRlhYmE3jFg7KIDVLwnYkWbIhnU5X5+SgoZSVlbFkyRLeffddbr75ZqvHbrvtNr755ht69OgBwNatW+nYsSMAFy5c4OjRo/Ts2dPqXDt37rT0Ih05coSsrCyrNpfq2bMnSUlJJCUlWXqX4uPjycrKstQkZWZm8sgjj/Dvf/+blJQUHnjgAXbv3o27u7vtLkRjodPZdChMSzUehru4MGXM3Hf55IN3+f333xkwYIBV286dOxMYGEhsbKwlOcrJyWHbtm08/vjjNo9dOCDzWkumUjAZ1T3jhKgjSZaamRUrVnDhwgX+9re/VRpevPPOO1m4cCFvv/02AC+//DKtWrUiICCAf//73/j7+3PbbbdZ2js7OzNt2jTmzZuHk5MTU6dOZfDgwZbkqSqRkZH07duXBx54gLlz51JWVsYTTzzB0KFDLX8wp0yZQocOHXjhhRcoLi7m6quvZvr06cTExACwbNkyZsyYweHDh218dUR91HgYzknPog/n8uG7s/nqy68IDg621CGZi8F1Oh1PP/00r776KiEhIXTu3JkXX3yRoKAgq59BIaplcAKdARSj2rvkYtueVNG8yGy4ZmbhwoVERkZWWYd15513snPnTvbt2weotSRPPfUU/fv3JzU1lV9++QUXFxdLew8PD/75z39y//33c9111+Hl5cXSpUsv+/o6nY6ffvqJli1bcuONNxIZGUmXLl0sz1uyZAm//vorX3zxBU5OTnh6evLll1/yySef8NtvvwGQnZ3NkSNHbHVJRANzMuj57ovPKC0p4Z577qZt27aW2zvvvGNp99xzzzFt2jT+/ve/M3DgQPLy8li1apXUNYmaM/cuGWUoTtSPTqntnPNmxlzgnZ2dbRlGMCsqKiIxMdFqDSFHsG7dOiIiIrhw4QItWrSoss3ixYt5+umnycrKatDYhGM4npFHfnEZHVp60NLT5cpPEKIuLpyCwkzwDgTvxlP36Kh/Oxqby/39ri3pWRJCNDg3c5F3mWyoK+xI9ogTNiLJUjViYmLo1auX1dR4IYRtmIu8i0tlQ11hR7KKt7ARGYa7guY4DCeEveUWlZJ4Lh9XJwPdA721Dkc4qtJCyDgMOj0E9lNnnzYC8rejYcgwnBCiSTOvtVRiNNV6qx4haszcs6SYwFSmbSyiSZNkSQjR4JwNenQ6HYqiUGqUoThhJzo9GC5OIJCVvEU9SLJkA/LJWIja0el0uFzcULekTJIlYUeNsMhb/mY0PZIs1YPBoBaplpSUaByJEE2PeSiuWJIlYU+NcI+4goICQF3YVzQNsoJ3PTg5OeHh4UFGRgbOzs7o9ZJ7ClFTelMpSlkJ+YXg6SSftIWdGA1QpkBBAbhqmzApikJBQQHp6em0aNHC8oFbNH6SLNWDTqejbdu2JCYmcurUKa3DEaJJySsuI6uglFxnPflerlqHIxxVWRHkZYA+C7Iax7peLVq0sGwWLZqGZpEsvffee3z66acoikJkZCTvv/8+OhtNIXVxcSEkJESG4oSope2J53lp5X46t/Lk00d6aB2OcFR56bD4IcAAU/4CJ21XjHd2dpYepSbI4ZOljIwM5s+fz8GDB3F2dubGG29k69atDBkyxGavodfrZa0MIWqpY+sWnM01cr4oDxcXV/T6xrEGjnAwrh2g5AKU5EFhCrTurnVEoglqFkU2ZWVlFBUVUVpaSmlpKW3atNE6JCGavXYt3THodRSVmkjPbTwzlYSD0emgVVf163MJ2sYimizNk6UNGzYwbtw4goKC0Ol0LF++vFKbmJgYgoODcXNzIzw8nO3bt9f4/K1bt2b69Ol07NiRoKAgIiMjueqqq2z4DoQQdeFs0NO+pTsAJ8/naxyNcGj+Ieq/5yVZEnWjebKUn59PaGgoMTExVT6+dOlSoqOjmTVrFrt37yY0NJSRI0eSnp5uaRMWFkafPn0q3ZKTk7lw4QIrVqzg5MmTnD17ls2bN7Nhw4aGentCiMvo1MoTgFOSLAl7anUxWTp3TNs4RJOlec3S6NGjGT16dLWPz5kzh8mTJzNp0iQAFixYwMqVK1m0aBHPP/88AHFxcdU+/7vvvqNr1674+fkBcMstt7B161ZuvPHGKtsXFxdTXFw+JJCdnQ2oe8wIIWyrrbsJU3EBh0+nk9O9hdbhCEflFgTFCpw5BPK7vNkw/922ySKgSiMCKMuWLbPcLy4uVgwGg9UxRVGUhx9+WBk/fnyNzrllyxYlLCxMKSwsVMrKypQxY8Yoy5cvr7b9rFmzFEBucpOb3OQmN7k5wO348eN1SUmsaN6zdDnnzp3DaDQSEBBgdTwgIIDDhw/X6ByDBw9mzJgxXH311ej1eoYPH8748eOrbT9jxgyio6Mt97OysujUqROnT5/G19e3bm9EkJOTQ4cOHUhKSqr37s/NnVxL25FraRtyHW1HrqXtZGdn07FjR8vIUn006mTJVl577TVee+21GrV1dXXF1bXyAnm+vr7yg2sDPj4+ch1tRK6l7ci1tA25jrYj19J2bLG7huYF3pfj7++PwWAgLS3N6nhaWpqsfiqEEEKIBtGokyUXFxf69+9PbGys5ZjJZCI2Ntami0oKIYQQQlRH82G4vLw8jh0rn86ZmJhIXFwcfn5+dOzYkejoaCZOnMiAAQMYNGgQc+fOJT8/3zI7zt5cXV2ZNWtWlUNzoubkOtqOXEvbkWtpG3IdbUeupe3Y8lrqFMUWc+rqbt26dURERFQ6PnHiRBYvXgzA/Pnzefvtt0lNTSUsLIx58+YRHh7ewJEKIYQQojnSPFkSQgghhGjMGnXNkhBCCCGE1iRZEkIIIYS4DEmWhBBCCCEuQ5Kly4iJiSE4OBg3NzfCw8PZvn271iE1OS+99BI6nc7q1qNHD63DahI2bNjAuHHjCAoKQqfTsXz5cqvHFUVh5syZtG3bFnd3dyIjI0lIkF3Vq3Kla/nII49U+jkdNWqUNsE2YrNnz2bgwIF4e3vTpk0bbrvtNo4cOWLVpqioiKioKFq1aoWXlxd33nlnpbXymruaXMdhw4ZV+pmcMmWKRhE3Xh999BH9+vWzLOI5ZMgQfvvtN8vjtvp5lGSpGkuXLiU6OppZs2axe/duQkNDGTlyJOnp6VqH1uT07t2blJQUy+3/27vbmKbOPgzglxKKziovg1E6bHmpMg2WCAZki7AI2mJCEFmicx/wjTkH25CgBhNGNEtYcC/Ol0QTE1my4ZQNdPOLI9V2wYGZZBV1Dl0DIxvFTSJo6wuG3vtg7PNU4Lg9q54en+uXkLTnPj1c584/5M/p3Z7W1la5IymC2+1GSkoK9u7dO+Z4XV0ddu3ahX379uHMmTOYMmUKTCYT7ty584STBr5HzSUAmM1mnzo9dOjQE0yoDDabDaWlpWhvb0dLSwvu3buHxYsXw+12e/fZuHEjvvnmGzQ2NsJms6Gvrw/Lli2TMXXg+TvzCAAlJSU+NVlXVydT4sAVGxuL999/Hx0dHTh79iwWLlyIgoICXLx4EYAf6/Ff313uKZWeni5KS0u9z0dGRoRWqxW1tbUyplKempoakZKSIncMxQN8bzLt8XiERqMRO3bs8G4bHBwUISEh4tChQzIkVI6H51IIIYqLi0VBQYEseZTsjz/+EACEzWYTQtyvweDgYNHY2Ojd59KlSwKAaGtrkytmwHt4HoUQIjs7W7zzzjvyhVKw8PBwceDAAb/WI68sjWF4eBgdHR3Izc31bps4cSJyc3PR1tYmYzJlunLlCrRaLRISEvDaa6+ht7dX7kiK193djf7+fp8aDQ0NRUZGBmv0f2S1WvHcc88hKSkJGzZswMDAgNyRAt7Q0BAAeG9U2tHRgXv37vnU5QsvvACdTse6lPDwPD7w+eefIzIyEsnJyaiqqsKtW7fkiKcYIyMj+OKLL+B2u5GZmenXepT9G7wD0bVr1zAyMoLo6Gif7dHR0fj5559lSqVMGRkZqK+vR1JSEpxOJ7Zt24YFCxbgwoULmDp1qtzxFKu/vx8AxqzRB2P095nNZixbtgzx8fFwOBzYunUr8vLy0NbWhqCgILnjBSSPx4Py8nK89NJLSE5OBnC/LlUqFcLCwnz2ZV2Ob6x5BICVK1dCr9dDq9Wis7MTW7ZsQVdXF5qammRMG5jOnz+PzMxM3LlzB2q1Gs3NzZg9ezbsdrvf6pHNEj1WeXl53sdGoxEZGRnQ6/U4cuQI1q5dK2Myov9YsWKF9/GcOXNgNBqRmJgIq9WKnJwcGZMFrtLSUly4cIFrEP+l8ebx9ddf9z6eM2cOYmJikJOTA4fDgcTExCcdM6AlJSXBbrdjaGgIX375JYqLi2Gz2fz6O/g23BgiIyMRFBQ0asX81atXodFoZEr1dAgLC8PMmTN97gdI/9yDOmSNPh4JCQmIjIxknY6jrKwMx48fx6lTpxAbG+vdrtFoMDw8jMHBQZ/9WZdjG28ex/LgFl+sydFUKhUMBgPS0tJQW1uLlJQUfPLJJ36tRzZLY1CpVEhLS4PFYvFu83g8sFgsyMzMlDGZ8rlcLjgcDsTExMgdRdHi4+Oh0Wh8avTGjRs4c+YMa9QPfvvtNwwMDLBOHyKEQFlZGZqbm3Hy5EnEx8f7jKelpSE4ONinLru6utDb28u6/C+Pmsex2O12AGBN/g0ejwd37971az3ybbhxVFRUoLi4GPPmzUN6ejp27twJt9uN1atXyx1NUSorK5Gfnw+9Xo++vj7U1NQgKCgIr776qtzRAp7L5fL5L7K7uxt2ux0RERHQ6XQoLy/He++9hxkzZiA+Ph7V1dXQarVYunSpfKEDlNRcRkREYNu2bSgqKoJGo4HD4cDmzZthMBhgMplkTB14SktL0dDQgGPHjmHq1KnedR+hoaGYPHkyQkNDsXbtWlRUVCAiIgLTpk3DW2+9hczMTMyfP1/m9IHjUfPocDjQ0NCAJUuW4Nlnn0VnZyc2btyIrKwsGI1GmdMHlqqqKuTl5UGn0+HmzZtoaGiA1WrFiRMn/FuP/v3A3tNl9+7dQqfTCZVKJdLT00V7e7vckRRn+fLlIiYmRqhUKvH888+L5cuXi19++UXuWIpw6tQpAWDUT3FxsRDi/tcHVFdXi+joaBESEiJycnJEV1eXvKEDlNRc3rp1SyxevFhERUWJ4OBgodfrRUlJiejv75c7dsAZaw4BiIMHD3r3uX37tnjzzTdFeHi4eOaZZ0RhYaFwOp3yhQ5Aj5rH3t5ekZWVJSIiIkRISIgwGAxi06ZNYmhoSN7gAWjNmjVCr9cLlUoloqKiRE5Ojvj222+94/6qxwlCCPFvOzsiIiKipxXXLBERERFJYLNEREREJIHNEhEREZEENktEREREEtgsEREREUlgs0REREQkgc0SERERkQQ2S0REREQS2CwRkWL9+eef2LBhA3Q6HUJCQqDRaGAymXD69GkAwIQJE3D06NF/fNy4uDjs3LnTv2GJSLF4bzgiUqyioiIMDw/j008/RUJCAq5evQqLxYKBgQG5oxHRU4S3OyEiRRocHER4eDisViuys7NHjcfFxeHXX3/1Ptfr9ejp6YHD4UBFRQXa29vhdrsxa9Ys1NbWIjc3FwDw8ssvw2az+RzrwZ/J1tZWVFVV4ezZs4iMjERhYSFqa2sxZcqUx3imRCQ3vg1HRIqkVquhVqtx9OhR3L17d9T4Dz/8AAA4ePAgnE6n97nL5cKSJUtgsVjw448/wmw2Iz8/H729vQCApqYmxMbGYvv27XA6nXA6nQAAh8MBs9mMoqIidHZ24vDhw2htbUVZWdkTOmMikguvLBGRYn311VcoKSnB7du3kZqaiuzsbKxYsQJGoxHA/TVLzc3NWLp0qeRxkpOT8cYbb3gbn7i4OJSXl6O8vNy7z7p16xAUFIT9+/d7t7W2tiI7OxtutxuTJk3y+/kRUWDglSUiUqyioiL09fXh66+/htlshtVqRWpqKurr68d9jcvlQmVlJWbNmoWwsDCo1WpcunTJe2VpPOfOnUN9fb33ipZarYbJZILH40F3d7efz4yIAgkXeBORok2aNAmLFi3CokWLUF1djXXr1qGmpgarVq0ac//Kykq0tLTggw8+gMFgwOTJk/HKK69geHhY8ve4XC6sX78eb7/99qgxnU7nj1MhogDFZomIniqzZ8/2fl1AcHAwRkZGfMZPnz6NVatWobCwEMD9Jqinp8dnH5VKNep1qamp+Omnn2AwGB5bdiIKTHwbjogUaWBgAAsXLsRnn32Gzs5OdHd3o7GxEXV1dSgoKABwf+2RxWJBf38/rl+/DgCYMWMGmpqaYLfbce7cOaxcuRIej8fn2HFxcfjuu+/w+++/49q1awCALVu24Pvvv0dZWRnsdjuuXLmCY8eOcYE30f8BNktEpEhqtRoZGRn4+OOPkZWVheTkZFRXV6OkpAR79uwBAHz44YdoaWnB9OnTMXfuXADARx99hPDwcLz44ovIz8+HyWRCamqqz7G3b9+Onp4eJCYmIioqCgBgNBphs9lw+fJlLFiwAHPnzsW7774LrVb7ZE+ciJ44fhqOiIiISAKvLBERERFJYLNEREREJIHNEhEREZEENktEREREEtgsEREREUlgs0REREQkgc0SERERkQQ2S0REREQS2CwRERERSWCzRERERCSBzRIRERGRBDZLRERERBL+ArvafYT6AG16AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "distribution_plot(data, {'n': 1024, 'p0': 1/8})" ] }, { "cell_type": "code", "execution_count": 14, "id": "74bc3160", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:11.168687Z", "start_time": "2024-02-28T17:53:10.808466Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "distribution_plot(data, {'n': 1024, 'p0': 1/2})" ] }, { "cell_type": "markdown", "id": "c99bf182", "metadata": {}, "source": [ "## Investigate implicit admission" ] }, { "cell_type": "markdown", "id": "f6717a49", "metadata": {}, "source": [ "`live_plot` will help you do that." ] }, { "cell_type": "code", "execution_count": 15, "id": "96052451", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:11.465687Z", "start_time": "2024-02-28T17:53:11.169692Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkUAAAHLCAYAAADGLOz0AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAA9hAAAPYQGoP6dpAABv9ElEQVR4nO3dd3hUZd7G8e/MpPeEhIRA6L0l0lEQUBQsgIiuDRYUdS2LBZW1oLj6IoiKiLKiggJWbKCADSJNRDqh91ATQk0hfWbO+8eQCSEBE0gyKffnunLpnPPMmV/CwNx5zlNMhmEYiIiIiFRzZlcXICIiIlIRKBSJiIiIoFAkIiIiAigUiYiIiAAKRSIiIiKAQpGIiIgIoFAkIiIiAigUiYiIiAAKRSIiIiKAQpGIiIgIoFAkIhXY9u3befjhh2ncuDE+Pj74+/tz1VVX8f7772O1WsulhrFjx2IymWjdunW5vJ6IuI6bqwsQESnKBx98wGOPPUZwcDBDhgyhadOmpKSkMG/ePB555BHS09N5+umny7SGw4cP89prr+Hr61umryMiFYNJG8KKSEXzxRdfMHjwYG666Sa++uqrQqHkiy++IDQ0lOuvv75M67jzzjs5fvw4NpuNEydOsGXLljJ9PRFxLYUiEalQjh49SosWLahduzbr1q3D09PTJXUsW7aMa665hg0bNjBixAiFIpFqQLfPRKRCeeedd0hOTubLL78sUSDKzc0lJSWlWG1DQkIwmy88pNJmszFixAjuv/9+2rRpU+waRKRyUygSkQpl1qxZREVFlfjW2IoVK+jVq1ex2sbHx1O/fv0Lnp86dSoHDhxg0aJFJapBRCo3hSIRqTD27t1LQkICDz300EV7cooSHR3NwoULi9U2IiLigudOnjzJSy+9xIsvvkhYWFiJahCRyk2hSEQqjEOHDgHQsGHDEj83ODiY3r17X3YNo0ePJiQkhBEjRlz2tUSkclEoEpEKI2/todzc3BI/Nycnh1OnThWrbVhYGBaLpdDx3bt38+GHHzJp0iQSEhKcx7OyssjNzWX//v0EBAQQEhJS4vpEpOJTKBKRCqNx48YAlzTL688//7zsMUVHjhzBbrfz2GOP8dhjjxU636BBAx5//HEmTZpU4vpEpOLTlHwRqVA6derEhg0bWLVqFe3atStwLi0tjQ8//JCnnnqq0PNOnz7NunXrivUa3bp1w8vLq9DxEydO8McffxQ6Pnr0aNLS0njnnXdo1KiRZqSJVFEKRSJSocTFxdGjRw+ys7O57777aNOmDVarlfXr1/P999/TrVs35s+fX6419ezZU+sUiVQDCkUiUuHs3buXsWPH8ttvv3Hs2DFCQkJo0KABffv2ZfDgwTRq1Khc61EoEqkeFIpEREREgJItBCIiIiJSRSkUiYiIiKBQJCIiIgIoFImIiIgACkUiIiIigEKRiIiICKBtPrDb7SQkJODv74/JZHJ1OSIiIlIMhmGQlpZGZGQkZnPp9PFU+1CUkJBAVFSUq8sQERGRS3Do0CHq1KlTKteq9qHI398fcPxQAwICXFyNiIiIFEdqaipRUVHOz/HSUO1DUd4ts4CAAIUiERGRSqY0h75ooLWIiIgICkUiIiIigEKRiIiICKBQJCIiIgIoFImIiIgACkUiIiIigEKRiIiICKBQJCIiIpXE2wt3MTl2d5ldv9ov3igiIiKVg8VsYuLCXQAM6xhe6tdXKBIREaki3l64C4vZxGPXNil0bnLsbmx2gyeva+qCykpH3vc1ceEustLPlPr1FYpERESqiHN7Uh67tglnsq3Y7AYfLN3L/5bs5ZGejUjJzHVxlZdn6JX1ycq18d6vm0v92ibDMIxSv2olkpqaSmBgICkpKdr7TEREKq30bCubj6QwZfEelu8+gb+XG2lZVleXVWbs2RkcmvSPUv38Vk+RiIhIJWOzG+xKSiPuUDIbz37tSkrDfk43R1UORGVFoUhERKQCMwyDxJQsZwDacCiZLUdSyMixFWpbK9CLmKggoqOCePPXnVjtBu5mE9te7euCysvGe7/v4Z3Y3TzcoxHPTyrdaysUiYiIVCBpWblsOpzi7AGKO5TMsbTsQu38PN1oWyfQGYJiooIID/ACHIOqrXYDD4uZHJud95fsLXLwdWUzOXY378TuZuR1TRnWMZznS/n6CkUiIiIukmuzs/NomjMAbTyUzN7jZzh/tK/FbKJ5hL8zAF0RFUTDMD8sZlOha06O3c3EhbsYeV1THru2ifMxUOmDkc1uOL+v1NTUUr9+tQ1FU6ZMYcqUKdhshbsfRURESpthGBw+ncmGs70/G8/eBsu22gu1rRPsTczZ3p+YqCBaRQbi7WH529c4PxBBwWns5z6ujMp6OQHNPtPsMxERKQMpGblsPJwfgOIOJXMyPadQuwAvN2fvT/TZr1A/z0t6zaq+TtG5yuLzW6FIoUhERC5TttXG9sQ0Nh48TdzZ8UDxJ9ILtXO3mGhZK6DAOKD6NXwxF3EbTC6uLD6/q+3tMxERkUthGAb7T2aw8dBp4g6lsOFQMtsTUsmxFb4NVr+GT4EA1DIyAE+3v78NJq6hUCQiItVKSW8xnTyTTdzhZDYeTGbj4RTiDiUXuSp0sI/72TFAwURHBRJdJ4hgX48y/V6kdCkUiYhItXL+Vhh58gYp39kximnL9529DXaaQ6cyC13Dw81M68gAZwC6IiqYqBBvTCbdBqvMFIpERKRaOXc21plsK01q+vHZXweIO5yC2QRfrTlU6DmNwnyJiQomJiqQmKhgmkX44+FmLu/SpYwpFImISLVyKj2HUD9PooK9+XDZvgLn7AaE+nkSExXEFXWDiK4TRNuoQAK83F1UrZQnhSIREanyUrNyWbg1iXmbEvhj9wms9oITr80mePeudsTUDSIy0Eu3waophSIREamSMnNsxO5IYl5cAot3HifnnEUSW0UGEOLrwfLdJ5xbYew9foab2tZyYcXiagpFIiJSZWRbbSzbdYJ5cQks2p5UYNPURmG+9I+uzc3RtViwKbHKboUhl06hSEREKjWrzc7KfSeZF5fAL1uOkppldZ6LCvGmX9tI+kVH0jzCH5PJVOW3wpBLp1AkIiKVjt1usPbAaebFJfDT5sQC22fU9Pfk5raR9IuuRUxUUKHxQeduKnquvMc2e7Xe6KFa0zYf2uZDRKRSMAyDTYdTmBeXwPxNiRxNzXKeC/Zx58Y2tegXHUnH+iFF7h4vVYu2+RARkWpn59E0fow7wry4RA6eynAe9/d0o0/rCPpFR3Jloxq4W7RukFwehSIREalw4k+kMz8ugXmbEtiVdMZ53NvdQu+W4fRrW4urm4bh5a59xKT0KBSJiEiFcCQ5kwWbEpgXl8jmIynO4x4WMz2bhdEvOpJrW9TEx0MfXVI29M4SERGXOZ6WzU+bE5kXl8DaA6edxy1mE1c1DqVf21pc3yqCQG+tKC1lT6FIRETKVXJGDr9uPcq8uET+3HuCvMleJhN0qh9Cv+hIbmgdQQ0/T9cWKtWOQpGIiJS5M9lWFm1zrC69bPdxcm35E59jooLoFx3JTW1qERHo5cIqpbpTKBIRkTKRlWtj8Y5jzNuUQOz2Y2Sfs81Gi1oB9Iuuxc1tIqlbw8eFVYrkUygSEZFSk2O188ee48yLS+S3rUdJP2ebjYahvtwcHUn/6Fo0runvwipFiqZQJCIil8VmN1i17yTzNiXw85ajJGfkOs/VDvLm5uha9GsbSavIAO0+LxWaQpGIiJSY3W6w4dBp5sUlMn9TIifOZDvPhfl7ctPZ1aXb1S28zYZIRaVQJCIixWIYBlsTUp3bbBxJznSeC/Jx54bWtegXXYvODWpomw2plBSKRETkog6ezODb9YeZH5fAvhPpzuN+nm5c3zKcftGRdGsSqm02pNJTKBIRkUIMw2DdgdN8tHwfv21LIm/rcE83M71bhNMvuhY9m9XUNhtSpVTbUDRlyhSmTJmCzWb7+8YiItWE1Wbnl61HmbY8no2Hkp3Hr24axqB2tbm2RTh+ntX2o0OqOJNhGMbfN6u6UlNTCQwMJCUlhYCAAFeXIyLiEmlZucxec4hPVux3jhWymE3c3r4Ow7s1oEl4/hT6ybG7sdkNnryuqavKFSmTz2/FfRGRauxIciYzVsTz1epDpGVbAQjx9aBpuB9/7TtFZJB3oUA0ceEuRioQSRWkUCQiUg1tOpzMtOXxLNiciO3s5mONwny5v3tDBl5RGy93izMAATx2bZMCgeixa5u4snyRMqFQJCJSTdjtBou2JzHtj3hWx59yHr+yUQ0e6N6QHk3DMJ8zlT4v+ExcuIv3ft9Djs2uQCRVmkKRiEgVl5Fj5bt1h5n+Rzz7T2YA4GY20T86kuHdG9AqMvCCz33s2ibOQORhMSsQSZWmUCQiUkUdS81i5sr9fL7qoHPrjQAvN+7pUo+hXesXa0f6ybG7nYEox2ZncuxuBSOpshSKRESqmO2JqUxbHs+PcUfItTnGC9UN8WF4twbc1r4OvsWcUn/+GKLzxxiJVDUKRSIiVYBhGCzddZxpy+P5Y88J5/EO9YK5v3tDrmsZXqKtN4oaVH3uGKNzH4tUFQpFIiKVWFaujR82HmHa8nh2HzsDgNkEN7Spxf3dGnBF3eBLuq7NbhQ5qDrvcd6MNZGqRIs3avFGEamETp7J5rO/DvLpX/s5cSYHcOxFdkfHKIZdWZ+oEB8XVyhStrR4o4hINbfn2Bmm/xHP9+sPk221AxAZ6MW9VzXgjk5RBHi5u7hCkcpLoUhEpIIzDIOV+04yfXk8sTuOOY+3rRPI/d0bckPrCO1QL1IKFIpERCqoXJud+ZsSmLY8nq0JqQCYTNC7RTj3d2tApwYhmEzFHzwtUuktHgdmC/QYVSaXVygSEalgUjJy+XLNQWas2M/R1CwAvNzN3N4+inuvqk/DMD8XVyjiArlZcOYorJsBO+ZDRk6pv4RCkYhIBXHwZAYfr4jn67WHyMixARDm78mwK+tzd6e6BPt6uLhCkXKSmwVJWyFxAyRsgIQ4OL4d7I5Ni0mMg+zSnyemUCQi4mLrDpxi2vJ4ft16lLyZ7s0j/BnerQH9YyLxdLO4tkCRspSbBUlbHOEncWPhAHQunxpQKwasmbBrRamXolAkIuICVpud37Yl8dHyfWw4mOw83qNpGPd3b0C3xqEaLyRVT26mowfo3AB0bBsYtsJtfWpA5BWOEBQZ4/hvYB3HwDqAF2qUenkKRSIi5ehMtpWv1xzi4xXxHD6dCYCHxczAK2ozvHsDmob7u7hCkVJSKABthGPbLxCAQvODT1EB6HxLJ4A9t9RLVigSESkHCcmZzPxzP1+sPkhaluO2QLCPO0O61GNI1/qE+Xu6uEKRy5CbCUe35IefxI3FDEBXOP4/oPaFA9D5lk6AxWOh+9MwfkxpfQeAQpGISJnaciSFj5bvY8GmRKxnBww1DPNleLcGDGpXBy93jReSSqbEAeiKgr1AJQlA58sLRL1egCseAhSKREQqNLvd4Pcdx/ho+T5WxZ9yHu/SMIQHujekV7OamEuwOauIy5wfgBI2wPEdRQcg37CCt78uNwAVxW5zBKIeoyA1tfSue5ZCkYhIKcnMsfHd+sN8/Ec8+06kA+BmNnFz21rc370hrWsHurhCkYvIC0DnjgEqTgDKGwwdEFm6AagovZ4r08srFImIXKK3F+7CYjYxvFsDpv8Rzycr4jmd4Rj86elmpnXtQN67+wpqBXq7uFKR8+RknJ0Gv7F4Aej8WWDlEYBcQKFIROQSmYCJC3fxwdK9pJ9dbDEqxJtGYX4s2XmcHk3DFIikfBW1DUZeAFr2BqQmOoLP8Z0XCEA1C88Cq6IBqCgKRSIiJWQYjjFDCzYnApCeYyPQ251XBrQi/kQ6kxbtZuR1TXns2iYurlSqHZPJMRA5YYNjnZ8j6y/SA1Sz8Cww/1rVJgAVRaFIRKQENh1O5rWftvPXPscA6iAfd2Kigliy8zjPfLOJHJtdgUjKT1oSHFkLh9fC4TWOMASw86fCbWs0htaD8nuBqnkAKopCkYhIMRw6lcEbv+7kx7gEADzczNx7VX0e6dmYQG93mr7wMzk2Ox4WswKRlI3cLDi6KT8AHVkLyQcLt/Pwc/QSJR8As5tju4yez0PP/5R/zZWMQpGIyEUkZ+Tw3u97mLXyADk2OyYTDIypzVN9mlE7yDFeaHLsbmcgyrHZmRy7W8FILo9hwOl4OLwuPwAlbipiFWcThDWHOh2gTkfHf8OaO8YVvRoGthyweCgQFZNCkYhIEbJybcxauZ/3ft9D6tkVqK9qXIPnbmhRYGr95NjdTFy4y3nLLO8xoGAkxZeV4hj/c3jt2dthayDjZOF2PqH54adOB4hsB14BhdstnZAfiGw5jsfnDr6WIikUiYicw243mLcpgQm/7ORIsmNvsuYR/jx7Q3N6NA0rsEnr+YEI8oOQgpFckN3mWAE6rwfo8FrHbDCMgu0sHhDRtmAICqr39+OAzl31uceo/MegYPQ3FIpERM76c+8Jxv20g81HUgAID/DkqeubMahdHSxFrEBtsxtFDqrOe2yzG4WeI9VQ2tFzxgGtc/QI5aYXbhdU75wA1BEi2oBbCffEOz8QQf5/FYz+lkKRiFR7u5LSGP/zDn7fcQwAP083Hu7ZiPuuaoC3x4X3JnvyuqYXPKceomoqNwsS4wr2AqUcKtzOwx9qt8sPQLU7gF/Y5b/+udtgnCvvsb2IqfniZDIMo1r/KpOamkpgYCApKSkEBBRxX1ZEqqxjqVlMXLiLr9cewm44tuS4u3NdHru2CaF+2rVe/oZhwKl9BccBHd1S9GDomi2hTvuzPUEdIbSpYzC0XLKy+PxWT5GIVDtnsq18uGwfHy3bR2au4zfnvq0iGNW3GQ3D/FxcnVRYmclnb3+dnRF2eC1knirczjes4G2wyCvA07/cy5WSUygSkWrDarPz1ZpDTFq0mxNnsgFoVzeI529sQYf6IS6uTioUmxWObTtnYcS1cGJn4XYWD6gVnR+CaneAoLpaFLGSUigSkSrPMAwWbkti/C872HfcMcC1fg0f/tO3OX1bRxSYUSbVQFH7g6UmOgLQyimQctgxHT43o/Bzg+vn3wKr3QEiWpd8MLRUWApFIlKlbTyUzGsLtrN6v+M2R4ivB49d05i7O9fDw83s4urEJUxmx0ysI2sdqz8fXAWphwu38ww4Oxj6bACq0wF8Q8u/Xik3CkUiUiUdPJnBhF93MH+TY9NWTzczw7s14KGejQjwcndxdVKubLmOGWEHVsCBlXBwpeP4rl/PaWQCDMf4nw7DzxkMreBcnVTbUDRlyhSmTJmCzabpiSJVyen0HN79fQ+f/rWfXJuByQSD2tXhqeubUivQ29XlSXnIyXAMhD7wJxz80zEe6PxbYe4+4Bfu2Eojb3+woqayS7WiKfmaki9SJWTl2pjx536mLN5D2tltOa5uGsazfZvTMlJ/t6u0jFNwaJUjBB34ExI3OkLOubyDoe6VUK+r47+12oLFveD+YC8ed0n5cmk0JV9E5Dx2u8HcjUd467ddzm05WtQK4Pkbm9O9SSkshicVT2rC2V6glY7/HttWuE1AbajbFepd6fgKbVb4Vpj2B5PzKBSJSKW1Ys8JXvtpO1sTUgGoFejFU9c3Y+AVtYvclkMqIcOAk3sdt8EOrHT89/T+wu1qNHH0AtW7yhGG/m5avPYHkyIoFIlIpbPjaCrjftrB0l2O2x3+nm483MuxLYeXu1YJrtTsNkjakh+ADqyE9GMF25jMjn3BnLfDuoJfzeK/hvYHkwtQKBKRSuNoShYTF+7k23WHndtyDO5SjxHXNKaGtuWonKzZkLAhf2bYoVWQnVqwjcXDMSU+bzxQVCfwuowxJNofTC5AA6010FqkwkvLyuWDpfuY9sc+snLtANzYJoJRfZpTP9TXxdVJiWSnwaHV+WOCjqwDa1bBNh7+juCTNx4osh24e7mmXqmwNNBaRKqVXJudr1YfZNKi3ZxMzwGgQ71gnr+pBe3qBru4OimW9BNnB0SvdPQGHd0Mxnk9MT6hBccDhbcGiz6epPzpXSciFY5hGPy6NYkJv+xg3wnHthwNQ30Z1bc5fVqFa1uOiiz5YMHxQEXtFxZU9+x4oLNfNRprrzCpEBSKRKRCWXfgNON+2s7aA6cBqOHrwRO9m3Bnp7q4W7S6cIViGHB85zkzw1ZCyqHC7cJa5I8HqtcVAuuUf60ixaBQJCIVwv4T6Uz4dQc/bT4KgJe7mfu7NeRfPRrir205KgabFY5uyh8PdHClY+PUc5ksEBmTv0ZQ3a7gE+KSckVKSqFIRFzqVHoOk2N38/mqA85tOW5vX4eR1zUjIlCDa13KboejcbB3McQvc2ydkXOmYBs3L8c+YXkBqE5H8PRzTb0il0mhSERcIivXxscr4nl/8V7Ssh1bMvRsFsazNzSneYRmgrpMymFHCNr7O+xbApmnCp73CoSoLvnjgWrFgJuHKyoVKXUKRSJSpt5euAuL2cRj1zYBwGY3mLPhCG/9tpPEFMdU7FaRATx/YwuuahzqylKrp+w02P9HfhA6ubvgeQ9/aNAdGvZ0zA6r2RKWvwm5mY5p8yJViEKRiJQpi9nExIW7AMd0+lcXbGd7Yv7ifH1bR/C/u9th1rYc5cNucyyWmBeCDq8uuHmqyQy124ObpyMsdX0Uej2Xf/7c1aBFqhiFIhEpU49d24Rsq80ZjAA83cxkW+08dk1jRl7fzIXVVROn9+eHoPhlkJVc8HxwfWh0DTTsBQ2uBu8gx/G8AGS2FNwfrKjVoEWqAIUiESlTy3cfZ876I87HZhNkW+2MvK6p85aalLKsFIhffnZc0GI4ta/gec9AaHi1IwQ16gUhDYu+zrn7gS17w7GTvAKRVGEKRSJSJs5kW3ntp+18seogAHVDfEhIzsRqN/CwmBWISpPN6tguIy8EHV5bcNVos5tjVlheb1DkFcVfMbrHqPxAZPFQIJIqTaFIRErdij0nGPXtJo4kZwIwtGs9Arzdeff3PXhYzOTY7EyO3a1gdKkMw9H7kzdDLH5Z4U1UazTOD0H1u136BqpLJ+QHIluO47GCkVRRCkUiUmrSs62M/3kHn/51AIA6wd5MuK0ta/efZuLCXc5bZpNjdzvHGCkYFVPGKUf42Xd2bFDywYLnvYMdM8TybokF1b381zx/DFHeY1AwkipJoUhESsXKvScZ9V0ch045eocGd6nLcze0YPof8QUCEeQHIQWji7DmOBZLzLsllrABDHv+ebM71O3iCEKNroFa0Y4B0aWlqEHV544xOvexSBWhUCQilyUjx8rrP+9g5kpH71DtIEfvUN6aQza7UeSg6nPXLRIct8RO7M4PQfHLITe9YJuw5md7gq5xLJxYlitH221FD6rOe2y3FX6OSCVnMgyjWv+LlJqaSmBgICkpKQQEaBVdkZJYte8kz3y7iYOnMgC4q1Ndnr+xufYqK670k44AtG+xY8p86pGC531CHbfCGvZy9AgF1nZJmSIVUVl8fqunSERKLDPHxoRfdzDjz/0YBkQGejF+UFuubhrm6tIqNms2HPwrf1xQ4ibgnN9LLZ6OXeTzeoPCW4PZ7LJyRaobhSIRKZE1+0/xzDdx7D/p6B26s2MUz9/UggD1DhVmGHBse34IOvAn5GYUbBPeOn9cUN2u4OHjklJFRKFIRIopK9fGm7/uZPqKeAwDIgK8GD+oDT2b1XR1aRXLmWOOafJ7f3fcEjtztOB5v/D8nqCGPcE/3BVVikgRFIpE5G+tO3CaZ76JY98Jx8Df29vXYfTNLQn0Vu8QhgGJG2Hbj7B7ISRtLnjezdsxKLrRNY7xQTVbgkn7vIlURApFInJBWbmOPcumLd+H3YDwAE/G39qWXs2ree+Q3e7YSHXbj7B9HqSct2ZQRNv8EBTVBdy9XFOniJSIQpGIFGnDwdM8/U0ce487eodubVebMTe3ItCnmvYO2axwYAVs/xG2zy94W8zdB5pcB837OYKQb6jr6hSRS6ZQJCIFZOXamLRoNx8u24vdgDB/T8YNbEPvltVw7Is1B+KXwrYfYOdPkHEy/5xnADTtCy37Q6NrNUBapApQKBIRp7hDyTz9TRy7j50BYOAVtRnTryVBPh4urqwc5WbCnlhHj9DOXyA7Jf+cdwg0vwla9IeGPWD5RMfsshb9Cl9n6YSzCyA+V361i8hlUSgSEbKtNibH7mbq0n3Y7Aahfp68NrA117eKcHVp5SM7DXb/lj9Y+tyVpP3CHaGnRX+od1XB3eXNlqK3vDh3iwwRqTQUikSquc2HU3j6mzh2JqUB0D86kv/2b0WwbxXvHco87egJ2v6jo2fIlp1/LjDKEYJa9oc6nS68gGJRe4EVtWeYiFQKCkUi1VSO1c67v+/mf0v2YrMb1PD1YOzA1vRtXcvVpZWd9BOwY76jRyh+Kdit+edCGjlCUIv+EHlF8afNnxuMlr0BthwFIpFKSqFIpBracsTRO7TjqKN36Ka2tXilfytq+Hm6uLIykJrgmDa/7Uc4+GfBneZrtszvEbqc9YN6jMoPRBYPBSIpU4ZhYDNsuJnzP8KTs5LJsGYQ6BmIr7svABm5Gew6vQuLyUKbsDbOtjtP7eRYxjEaBjWktp9jP7303HSWH1mOxWThunrXOduuPbqW+NR42oS2oXlIc+d1v9n1DQBDWw11tl12eBlxx+PoGNGRLrW6AJBlzeKd9e9gN+w80/EZZ82/7v+VZYeXcVXkVdzY8EYArHYrzyx9BrthZ1z3cfi4OyYvzNs7jx/2/ECPqB4MaTnE+Xqzd84upZ9oPoUikWokx2pnyuI9TFm8B6vdIMTXg1cHtOamtlWsd+j0/rNrCP0Ih9cUPFcr5myP0AAIbVw6r7d0Qn4gsuU4HisYVQo5thxSc1KxmCwEewU7j+8+vZtMayaNgho5Q0ZSehJbTmwhwDOAjhEdnW0X7FvAycyTXFfvOmr5Of4u7U3ey9w9cwn3CWdwy8HOtu9ueJf4lHiGtx5Oq9BWAGw9sZXxq8cT6RfJ61e/7mz7zNJnWJ+0nhe6vMA1da8BYOOxjQz5eQhR/lH8dOtPzrbP//E8y48s55UrX2Fgk4EAHEo7xJCfhxDqHcrifyx2tv1o80f8uv9Xnu30LPe0uAeAk5kneWbpM/i6+xYIRT/s/YG5e+byeLvH80ORNYM3176J2WQuEIr+OPIHX+74EsAZiqx2K59t/wyAkR1G4nY2dmw9uZUf9/5IkGeQMxSZMLHo4CLnn0teKDp85jCrjq4iKiCqwJ/d8fTjRf6ZXg6FIpFqYltCKk9/E8e2xFQAbmgdwau3tCa0qvQOHd8F239whKGjmwqei+rs6BFq0Q+C65Xu654/hijvMSgYXQbDcGyUazrbe5eclczRjKP4uvsS5Z//4Thn9xzSc9Pp37g/AR6OndJXJqxk7p65tKrRin+2+qez7T0/3cPR9KN8dP1HNAxsCMCPe3/kvyv/y9V1rmbKtVOcbR/7/TEOnznMpzd8SkzNGAA2HNvAM8ueoWNExwKh6OMtH7Pr9C4aBzd2hqIjZ44wY+sMWtdoXSAUrUpcRdzxOG5qeBOtcISiDGsGG49vJDUntcDPIDk7mWOZx8iw5u+Xl9fTYj331i/gafHEw1xwHKCXmxd1/OoQ4h1S4Hgdvzq0CGlBsGd+CPR286ZDeAe83bwLtG0e0pxeUb2o61+3wGvd3PBmzKaCY+3ah7cHoG1o2wJt729zPyZMmMlv3712d4I8g2hdo7XzmNlkZnTn0ZjNZrzc8hc87V23N/X861E3IL8GgBsb3sgLlO5kBoUikSou12bn/SV7mRy7G6vdINjHnVcGtObmtrWcHziVkmFA0pb8HqHjO/LPmcyOmWItB0DzmyGgjHrCihpUXdTg6yrIMAyybdlkWbMI9Ax0vpcOpR5if+p+InwjaBLcBACb3cZHmz8i05rJQ9EPOT94F+xbwJw9c+heu3uBHofuX3UnLSeNXwf9SrivY32suXvm8ta6t+jXsB+vdX/N2fbNtW+SmpPKlZFXOkPRobRD/BT/E1nWrAKh6HjGcY5lHCM9J392YV4teSEsT4RvBAYGFpPFeayGdw1iwmJoFNioQNtutbvROKgxNbxqOI/V8a/DsFbDiPAtOINzSMsh3JR1E02DmzqPNQ5qzKSek/D38C/Q9vnOz5NlzSLSL9J5rFlwMxb/YzEeloIB6O1eb3O+egH1+HnQz4WOP9H+CZ5o/0SBY2E+YXzS95NCbe9pcY+zNymPv4c/47qPK9S2T/0+9Knfp8Axd4s7j7d7vFDb84MlOALwHc3vKNS2SXAT53vpXA2DGhY6drkUikSqsB1HHb1DW444fgPt0yqc/7ulDWH+lbR3yDDgyHpHj9D2eXBqX/45s7tj7aAW/R1rCZXHqtJ2W9GDqvMe221lX8NlMgzDGWiyrFnEHowlNSeVu5rf5WzzyZZP+HHvjwxoNIBhrYc52tqy6PR5JwBW3b3Keatjzp45fLT5I+5ufjfPdXas0WQ2mfnfxv9hYDC4xWBnEDmafpRViauI8CkYHKx2KzbDRqY103ks0DOQMO8w5+vkuabuNWRbs/F0y39Px9SM4ekOT9MgsEGBtm/3fBtM0CAg//gNDW7gxgY3FvoFoaiA0DGiI5/e+Gmh40+2f7LQsYaBDXmqw1OFjp8fGgCCvYK5tt61hY6fXz84Qkaot1ZMLysKRSJVkNVmZ+rSvbwTu5tcm0GQjzv/7d+K/tGRla93yG6DQ6vy9xlLPZx/zs3LsZp0y/6O1aW9g8q3tostzOiiHqJsWzY2u80ZHvIGxabmpDLiihHOdpPXT+arHV8xpOUQHo55GHCEkWeXPwvALY1vcYaXtJw09iTvISkjyfl8T0t+CMmwZjhfr5ZfLVqEtCDMJ8x53mQycWfzO7GYLAV6OHrU6UGEbwT1Agre0vy639d4mD2o4Z3f8zKwyUDnWJlzvXrVq4WONQ1uWqAnJk/eGJ5znX8LSKo3hSKRKmZXUhpPfxPHpsOOlZivaxnO2IGtqelfiTYlteXC/j/y9xlLP5Z/zsMPmlzvGB/U5Hrw9HNdneUgy5rFyayTeFm8nCHhTM4ZPtz8IanZqbx85cvOtuNXj+fz7Z/zcPTDPBLzCAAGBm+ufROA4a2HO8OLyWQiLTeNk1n5W5f4uvvStVZXAjwDyLHlOEPRgMYD6FSrk3OmEjjCxF93/4WXxQuLOf8W0+1Nb+f2prcX+j6e7/x8oWONgxvTOLjwYPdzxwyJlCeFIpEqwmqz8+HyfUxauJscm51Ab3de7t+SW2JqV47eIWs27Fvi6BHaucCxuGIer0BodqPj1lijXuDufcHLVAYnMk9w5MwRQr1DnUEjJTuFCWsmkJqTyuRek51/Zm+seYOvd33NQ9EP8WjMo4Aj0HyyxXF7Z1THUc6g4+fuCIins/J/dj5uPtzc8GYCPQOxn7McwR3N7uCmhjcR5l2wR+fD6z8sVG+9gHqFenMA56wskapCoUikCthzLI2nvtlE3KFkAK5tXpPXbm1DeEAF7x3KyYA9ixw9Qrt+hexzZt/4hDrGBrXsD/WvBreKvcJ2fEo8+1L2Uc+/nrP3Izkrmf8s/w9pOWl8fuPnzqAzNW4qs3fO5l9t/8W/r/g3AO5md37c+yMAmdZMZ9AJ8Q7Bw+xRYLaRj5sPQ1sOJcgrqEANQ1sN5Z+t/om/e/6AXZPJVOSg2Jo+NalJzdL7AYhUAQpFIpWYzW4wbfk+3lq4ixyrHX8vN17u14pb21Xg3qGs1LP7jP3gCES5+dON8a+Vv89Y3a4F9xmrIDJyM1h0cBFH0o44x+IAzNg6g+93f8+DbR9kRLBj7I6HxYM/E/50PM+a4exZifCNINI3ssC0Y283b55q/xSBnoEFxrn8q+2/eCT6kQJ/niaTiac7Pl2otvNnL4lIyVS8f3FEpFj2Hj/D09/EseFgMgC9moUx7ta2RARWwN4hw3Bsq7H6I0cgsuXknwuqe3ZV6QFQu8OF9xlzgbVH17L40GLahLahb4O+zuMv/OFYG+Wu5nc5e2tah7Zm9+ndBWYG+bj78Fq31wjyDMLd7O48fn+b+7m/zf0FXstkMjlndp3r3FWLRaRs6W+bSCVjsxt8/Ec8b/62k2yrHX9PN17s15Lb29epeL1D2Wcg7ktHGDqxM/94jSb5+4zVir707TVKic1u4821b7IneQ+Tek1y9uhsPL6RWdtmcVPDm5yhyMfdh771+xLkGYTVyL+ldaEBxv0a9Sufb0JELptCkUglsu/4GZ75dhPrDjgG0l7dNIzxt7YhMqiCDTw+sQfWfAQbv8gfJ+TuCzF3QYf7Lm+fsRI6f2XkZYeXMWPrDFqGtHTegrKYLfyy/xdOZJ5gX/I+5z5RHcI7MLjFYDqEdyhwzTd6vFEutYtI+VIoEqkE7HaDT/7cz4RfdpBttePn6cbom1pwR8eoitM7ZLfDnoWw6gPYG5t/3DsY6nSEQdMcs8jOtXTC2QUQL7LeTzEZhlFg3A7AiN9HsPHYRqZdP41mIc0AxyDmNUfXkG3NLvD8h9o+hIfFw7lNAzgWAczb4kFEqj6FIpEKbv+JdEZ9u4nV+08B0K1xKK/f1pbaFaV3KPM0bPjc0TN0ev/ZgyZo2gc6PQCH18GS1xxh6dwFDc/dIqME7Iado+lHC+wG/seRPxi1dBRNQ5oyo+8MZ9vU7FSSs5PZm7zXGYquqHkFY7uNLbS4X1HbC4hI9aJQJFJB2e0Gs1buZ/wvO8jKtePrYeGFm1pyV6cK0juUtBVWfwibvs6fQeYVCFcMgY7DIeTsvkSNeztulZ27F1hRe4adx27YOXLmCCczTxborbnv1/tYl7SOiT0nOnfzDvEKIS03jf0p+wtc4+kOT+NucS+wXUJNn5r0b9S/VH4EIlK1KBSJVABvL9yFxWzisWsdmx4ePJnBM9/GsSre0TtUJ9ibLx/oQlSIz8UuU/ZsVtgx3zFw+sAf+cdrtoLOD0Kb28GjiAX9zt0kddkbjtln5wSiw2mH2XlqJ42CGlE/sD4Am09sZvBPg6npXZPYf+TfjqvtV5u443GcyDzhPNY4qDHf9/++0AKDeWODRESKQ6FIpAKwmE1MXLgLwzAI8fNk3E/bycix4W4xkWszuL19HdcGojPHYf0MWPsJpB5xHDNZoMXN0OlfUO/Kvx843WMUKX+8yV/uZpI8gvjnOT1EkzdM5uf4n3mi3RMMbzMccGyo6WnxJNgrmBxbjnPPrP90+g8vX/lygSnuHhaPInfRFhEpCYUikQrgsWubYLXbeXvRbuexOsHeHD6dycjrmjp7kMrdkXWw6kPY+n3+2kI+odB+mGMWWWDtiz4dyA80SyeQalh5OtzxnNsWj8Xn7HiiVjVacSD1AAGeAc7n+Xv4s+ruVQX21QII8AhARKQsKBSJVADH07JZsSd/Y06LyeS6QGTNhq1zHeOFjqzNP167PXR6EFoNBDfPCz49T+zBWN5Z/w6dIjoxOtsDFo8lqtcL3Gg6icfxnWQtfxMfszv0GMXQVkMZ2mpooWucH4hERMqSQpGIi21LSOWBWWs5kpyJv5cbmTk2rHYDD4u5fANRagKs/RjWzYD0445jFg9odasjDNVpf8Gn2g07ccfjqOtf17mTu4fZg/iUeLLPHMPYsx3T2TFEr+c9KXRCwcHXIiIuplAk4kK/bDnKk7M3kplro2GoL1c3DWPGn/vxsJjJsdmZHLu7bIORYcDBlY7p8tvngWFzHPePdNweaz8U/P5+09DHFz/OkkNLeLbTs9zT4h4AOtfqzOvdX6d7/BpMUbcWDj55j+22UvyGREQunUKRiAsYhsGUxXt487ddAHRvEkqb2oH8b8le5y2zybG7mbjQcb7Ug1FOBmz+xjGLLGlz/vF6VznWFmp+M1jcCz3NZrex/Mhylh5eyvOdn3cOdu4Y3pF1R9eRac10tvWweHBjwxuh4Y0XrkM9RCJSgSgUiZSzrFwbz3y7iXlxCQAMu7I+Qd7uTIrdXWAMUd5/SzUYnYqHtdNh/aeQlew45uYNbf/hCEMRhaew2w17gV3bx/w5hlNZp7iu3nVcGXklALc1vY27mt+FexFBSkSkslAoEilHSalZPDBrLZsOp+BmNvHKgNbc3bkuby/cVeSg6rzHNrtx6S9qt8O+xY5eoV2/AGevFVTPEYRi7gGfkEJP25+yn7fWvkVqTiozb5gJOAY+3970ds7kniHCN8LZ1sfdxesniYiUApORt1tiNZWamkpgYCApKSkEBGiqr5SduEPJPPjpWpJSswnycef9e9rTtVGNsnvBrNT8HepP5k/1p9E1jrWFmlwH58zuOp5xnCxbFlH+UQCczDxJr697YWCw8LaFBUKQiIirlcXnd5XoKRo4cCBLlizh2muv5dtvv3V1OSKF/BiXwDPfxJFttdOkph/Th3akbo0y6l05vssxnT7uS8g54zjm4Q8xdzt6hkIL34b7fPvnvL76dW5ueDOvdX8NgBreNfjvlf+ldWhrwn3Cy6ZWEZEKpEqEoscff5z77ruPmTNnuroUkQLsdoO3F+3i3d/3AHBN85q8c2cM/l6lPPbGboNdv8LqD2DfkvzjoU0d0+mj7wRPfwD2pexj0YFF9Knfx7ktRssaLTEwOJV9qsBlBzYZWLp1iohUYFUiFPXs2ZMlS5a4ugyRAjJyrIycHccvW48C8K+rGzKqb3Ms5lLczDXjFGz4FNZMg+SDZw+aoNmNjl6hhj0Lbb/xxpo3+OOIY9+yB9s+CEB0WLRukYlItWf++yZla9myZfTr14/IyEhMJhNz584t1GbKlCnUr18fLy8vOnfuzOrVq8u/UJESOJKcyaD3V/LL1qN4WMy8eXs0z93YovQCUeIm+OHfMLEFLHzJEYi8guDKx+DxOLjrC7LqdeWNtW8yYO4AMvJ2sQduaHAD3Wp3o0lQ/m00s8msQCQi1Z7Le4rS09OJjo7mvvvu49Zbby10fvbs2YwcOZKpU6fSuXNnJk2aRJ8+fdi5cyc1a/79onIi5W3dgVP869N1nDiTQ6ifBx8MaU/7eoVnd5WYLRe2/+gYOH1wZf7x8DbQ+UFyW97C0dwU50BpT4snsQdjOXLmCCsSVnBdvesA6N+oP/0b9b/8ekREqhiXh6IbbriBG2644YLnJ06cyAMPPMC9994LwNSpU1mwYAEff/wxzz77bIlfLzs7m+zsbOfj1NTUkhctcgHfrjvM899vJsdmp0WtAKYN7UDtIO/Lu2haEqyf6diCIy3RcczsBi36O8YL1e3CphObeXjODQR7BTPvlnmYTCZMJhOPt3scD7MHV9a+8vK/ORGRKs7loehicnJyWLduHc8995zzmNlspnfv3qxcufIiz7ywcePG8d///re0ShQBHOsITfhlBx8s2wdAn1bhTPxHDL6exfwrtnicY3p83grPhgGH1zpmkW35Fgy747hvTdLbDWZ5rabUCGlMx4iOADQMbEimNRO3HDdOZp0k1DsUcNwqExGR4qnQoejEiRPYbDbCwwtOBw4PD2fHjh3Ox7179yYuLo709HTq1KnDN998Q9euXYu85nPPPcfIkSOdj1NTU4mKiiqbb0CqhbSsXB7/aiO/7zgGwGPXNOaJ3k0xl2T8kNni2BzVMCCkIfw1BRI25J8PqA29/wstBzBzyzTeX/MavaJ6OUORn4cfX938FY0CG2lneRGRS1ShQ1FxLVq0qNhtPT098fT0LMNqpDo5eDKD4TPXsPvYGTzdzLxxezT9oyNLfqEeoyD9BCx5Lf+Y2cIPPl7Mr9WEx65/jzZhji04rq17LT/F/0SLkBYFLtE0uOnlfCsiItVehQ5FoaGhWCwWkpKSChxPSkoiIkIzZcS1Vu49ySOfr+N0Ri41/T356J8diI4KKvmFcrNg+VuOMUN5TBaw2/ijXjv+yjhAi4MLnaGoaXBT57ghEREpPS6fkn8xHh4etG/fntjYWOcxu91ObGzsBW+PiZSHL1YdZMj0VZzOyKVtnUB+/He3SwtE+5bC+1fCsgms9DBzX8PmnLF4gGEDiweDuo3myfZPcnvT251PyRtELSIipcvlPUVnzpxhz549zsfx8fFs3LiRkJAQ6taty8iRIxk6dCgdOnSgU6dOTJo0ifT0dOdsNJHyZLXZ+b8F25nx534A+kVH8sZtbfFyL+E4nvST8NtoiPvCcV2/CF6rU4v92Sf5OMCbx1IBWw5ddi2jS97gaxERKVMuD0Vr166lV69ezsd5g6CHDh3KjBkzuOOOOzh+/DgvvfQSR48eJSYmhl9++aXQ4GuRspaSkcu/v1zP8t0nAHj6+qY82qtxyXptDAM2fgG/jSYn8xTumDB1HI7btS/x7JIxLN81l2FtHoRrRsPSCY7B15A/K01ERMqMyTAMw9VFuFJZ7LIrVc++42e4f+Za9p1Ix9vdwtt3xNC3dQnHtZ3YDfOfhP3LWebtxbia4TzV9hF6t38oPwD1eqFgALrQcRGRaq4sPr9d3lMkUtEt332cRz9fT2qWlchALz4a2oFWkYHFv4A1G/6YBMvfBFsOuHmzqcV1HD69kRlJf9CbhxwbuhYVfPIe222l9v2IiEjRFIpELsAwDGb+uZ9XF2zHZjdoXy+YqYPbE+ZfgiUd9v8B854g49QeMk0majTuDTe9xXD/cNy3zmJIyyGOdr2eu/A11EMkIlIuqm0omjJlClOmTMFm02/gUliO1c6YH7fy5WrHzvOD2tXhtVtb4+lWzAHVGadg4Yuw4TPWeHnyfFQdWtVowaT+X4PJhDfwr+h/ld03ICIiJaYxRRpTJOc5lZ7Dw5+tY1X8KUwmeO6G5jzQvWHxBlQbBmz6Gn59DjJOArAn+nZuS1tLuE84s2+eTZBXUNl+AyIi1YDGFImUsV1JaQyfuYZDpzLx83Rj8l0xXNO8mDMdT+6F+U9yZv8ytnt60DGsBfSbROO6XXjvyB+0D2+Pt9tlbg4rIiJlRqFI5KzY7Uk8/tVGzmRbqRviw7ShHWga7v/3T7TmwJ/vwNI3OGSyMjQqknQ3T+YP/I4w/9oAdKvdrYyrFxGRy6VQJNWeYRh8uGwf43/ZgWFA5wYhvD+4PSG+Hn//5AMrYf4TcNyxQXHtBj2JCLKQas/heE4KYdQu09pFRKT0KBRJtZZttfH891v4bv1hAO7qVJf/9m+Fh9vf7ICTeRoWjiFl46d84+/HvT6hWPqOx9zmNiZmJBHiFYKHpRihSkREKgyFIqm2jqdl869P17L+YDIWs4mXbm7JP7vWu/iAasOALd/BL89iSz/O3XVqcdDdnYB2T/GPNo79ySJ8tVmxiEhlpFAk1dLWhBQemLmWhJQsArzcmHJPO7o3Cbv4k07Fw4KnYK9jg2JLaFPubjGAb46vpUFYq3KoWkREypJCkVQ7v2xJ5MnZcWTm2mgY6su0oR1oGOZ34SfYcuHPdzm1fAKTA7y5y8uXZl2fhKse4w6zhX9g4G52L79vQEREyoRCkVQbhmHw3u97eGvhLgC6NwnlvbvaEehzkUBzaDXMexyObWNiaAg/+PsRX68TM65+GpPJpL9AIiJViP5Nl2ohK9fGM99uYl5cAgDDrqzP6Jta4Ga5wIDqzGSI/S/G2k8wYYB3CP/u9CyHTq7gyfYji7eQo4iIVCrVNhRpm4/q42hKFg9+upZNh1NwM5t4ZUBr7u5ct+jGhgFb53Dst2eZ6GklPDiAJ+vdDNe9SoRvDWairTlERKqqYm/zkZqaWiW3wdA2H1Vb3KFkHpi1lmNp2QT7uPP+4PZ0aVij6ManD8BPT8Pu31ji7c2IiDA8TG4s/EcsIV4h5Vu4iIhclEu3+QgODiYxMZGaNWtyzTXX8P333xMUFFQqRYiUhR82HmHUt5vIttppGu7HtH92pG4Nn8INbbnw1/ukLB1PYE46WDzo0fEx7vP34PqGNygQiYhUE8UORX5+fpw8eZKaNWuyZMkScnNzy7IukUtmtxu8vWgX7/6+B4Brm9dk0p0x+HsVMaD68DpOzhvBWCOJ7TUDmGuJwfPmSZjCmvJkOdctIiKuVexQ1Lt3b3r16kWLFi0AGDhwIB4eRa/Y+/vvv5dOdSIllJ5tZeTXG/l1axIA/+rRkFF9mmMxnzcwOisVfn8VVn+Etwniompz0mJh7bXPc1VYUxdULiIirlbsUPTZZ58xc+ZM9u7dy9KlS2nVqhU+PkXcihBxkcOnM3hg1jq2J6biYTEz7tY2DGpfp2Ajw4DtP7L1t//QKjkRAJ82d/J/MbcSElSfZiHNXFC5iIhUBJc00LpXr17MmTOnSowp0kDrqmHdgVP869N1nDiTQ6ifBx8M6UD7esEFGyUfwrbgaZ5IWcsSXx+mnzHT6YZ3oGFPl9QsIiKXriw+v/9m18t8wcHBHDt2DEBrtEiF8s3aQ9z14SpOnMmhZa0Afvh3t4KByGaFlVNgSmcsu38hwmbghpndPUYqEImIiNMlDbReunSpBlqLy9nsBq//soMPl+0DoG+rCCbeEY2PR/7b2jiynkU/PUK7xJ3UsNuhblf+3ef/uMsvhIaBDV1VuoiIVECXNNDaMAwNtBaXSsvK5bEvN7B453EAHrumMU/0boo5b0B1dhr8PpbX93zF5wH+3BpWk/92eh6uGEKg2UygC2sXEZGKSQOtpdJJSs1i8LRV7D52Bk83M2/eHk2/6Mj8BjsWwE/PQOoR+np68F1AIBHtH8Bo90/d+hURkQsq9kDrc2mgtbjC2wt3kZVrY+G2JPadSCc8wJOP/tmBtnWCmBy7G6+MRGqljsc9YQN90zMguD7cNJHTddoR7BX8t9cXEZHKw6UrWp9r8eLFAOTk5BAfH0+jRo1wc6u226hJOcm22vjg7PihyEAvZv+rK1EhPry7aAenFk8hOmQez4f6E1IjmCuj7yOg12hw90ZxSEREiqPYs8/OlZmZyfDhw/Hx8aFVq1YcPHgQgBEjRjB+/PhSLbCsTJkyhZYtW9KxY0dXlyLFcCo9hzob32GE5XsA+raOICrEhy9/mMfVy+7iZfdZ3Jx2mlaGO0Oa34PXtWPA3dvFVYuISGVySaHo2WefJS4ujiVLluDl5eU83rt3b2bPnl1qxZWlRx99lG3btrFmzRpXlyJ/Izkjh8HTVpF0Jpen3L/lkwaL+WrFNp58oy9rDz9BW7Oj98i96Q18MWQ191/5Ah6WoicBiIiIXMgl3fOaO3cus2fPpkuXLgUGrrZq1Yq9e/eWWnEiKZm5DJm+mm2JqRzzu5Nh7erTa/Wb/ODzJXeFBpFt9mFJuje9Yh6A61+9tJQvIiLCJYai48ePU7NmzULH09PTNbtHSk1aVi5DP17N5iMphPh68MUDXahhDSF37bs0sZ/h0dMmLIBb2BC4/lVXlysiIpXcJf1i3aFDBxYsWOB8nBeEpk2bRteuXUunMqnWzmRbGfbJGjYeSibIx53PhnfGfPwnkmb0w92ejYGJe1PTuCctiyE7ezI5drerSxYRkUruknqKXnvtNW644Qa2bduG1WrlnXfeYdu2bfz5558sXbq0tGuUaiYjx8p9n6xh3YHTBHi58dnwztgSv2Jo3DvUDvPn7dNB1M48AhYPLLYcvmy2jLsWOp772LVNXFu8iIhUWpfUU9StWzc2btyI1WqlTZs2/Pbbb9SsWZOVK1fSvn370q5RqpHMHBvDZ6xl9f5T+Hu68enwzrQ+tRC/X0fjhoHJ5IFfdgL0egFePA69XqDrgal82WwZNnuJl9wSERFxuqTFG6sSLd5YcWTl2nhg1lqW7z6Bn6cbs4Z3ot2xuTD/ScBgX0QLIpJ24NPzeegxKv+JSyfA4rGOoHTucRERqbJcvnij2Wz+24HUJpMJq9V6WUVJ9ZNttfGvT9exfPcJfDwszLi3I0e3jWHXui9oigEdhtPQJxRa3Fo4+OQ9ttvKv3AREakyShSK5syZc8FzK1euZPLkydjt9ssuSqqXHKudRz5bz9Jdx/FyN/Px0A6c2vws/zm1ktCImnxdpx9h14+HiwVy9RCJiMhlKlEoGjBgQKFjO3fu5Nlnn2XevHncc889vPLKK6VWnFR9uTY7I75cT+yOY3i6mZn+z/Z02TGelA1f06RWOB1Do6lx/biLByIREZFScMlr3SUkJPDAAw/Qpk0brFYrGzduZObMmdSrV68065MqzGqz88RXG/l1axIeFjMfDo7hqs0vwpqPCLTDp20e59lbZmM2aUlGEREpeyWekp+SksJrr73Gu+++S0xMDLGxsXTv3r0sapMqzGY3GPl1HAs2J+JuMfHBXS1YvuYu7Ik76GWywMCp+Lb9h6vLFBGRaqREv4JPmDCBhg0bMn/+fL788kv+/PNPBSIpMZvd4Jlv4/gxLgE3s4kP/tGc4+uGMdt+kv+EhXJy0AegQCQiIuWsRFPyzWYz3t7e9O7dG4vFcsF233//fakUV5amTJnClClTsNls7Nq1S1Pyy4ndbvDs95v4eu1hLGYTUwc15LoN/8Z6eA3PhodzXbuH6dP5SVeXKSIiFVxZTMkvUSgaNmxYsfY2++STTy6rqPKkdYrKj2EYvDB3C1+sOojZBJP7h3PzxschaQt4BcHg76BOB1eXKSIilYDL1ymaMWNGqbyoVD+GYTDmx618seogJhO8eYMXn267j6NZp7nfLxyGzIHwVq4uU0REqjFN65EyZxgGr87fzqyVBzCZ4P2+AbD5Mba5GXwaFETKPV8rEImIiMtd0oawIsVlGAbjf97BxyviAZh6rTt9Vg2DjBOkujXk6pveJ7BWjEtrFBERAYUiKUOGYfDmbzv5YNk+AP7vqiSuWfMyZKdARFuGDZ4DvqGuLVJEROQshSIpM5MW7WbK4r0APN9pG++fmMGWADde8+6C+e6vwSvQxRWKiIjk05giKRPv/b6bd2J3AzCtYwLN904iw2TisF8NMu/4TIFIREQqHPUUSan7YOle3vxtFwAfx+zmmi3/BcPO+3U60XbgDHwUiEREpAJSKJJSNW35Psb9vAOAkS3m0X7XbDDscMVguvSbDOYLL/opIiLiSgpFUmpm/rmf/1uwHTB4tNkXfMRm/goPY3rdW/DuMx7MulsrIiIVlz6lpFR8vuoAY37cChh83eAnBib8RqDNRtuwtnj2GadAJCIiFZ56iuSyzV5zkBfmbMGMne+ivuGKxB8A+LbxMMK7P1OsrWFERERcTaFILsu36w7z7PebcSeH2xpMJPDENjCZod9kItoNcXV5IiIixaZ7GnLJfth4hGe+jcPDyGFIvTeY75XMQxE1ybr1Q1AgEhGRSkY9RXJJ5m9K4MnZG/E1MvixxnsEH9/O5lrhPND6frza3O7q8kREREpMoUhK7JctiTz+1UYCjBTmBb9DVPoO8Azgq+umY6l/lavLExERuSTV9vbZlClTaNmyJR07dnR1KZXKom1J/PuLDdQwHaJpo3EcYD/41ICh8xSIRESkUjMZhmG4ughXSk1NJTAwkJSUFAICAlxdToW2eOcx/jVrHeH2RPrWfpOv/C1E2gzm3/QV7uGtXV2eiIhUI2Xx+a3bZ1Isy3Yd51+frqOe/SDf+LyO74mT5HrUY+gNUxWIRESkSlAokr/1554TPDBrLU3YxGzvd/GzpUHNlrx81xzwj3B1eSIiIqWi2o4pkuJZte8kw2eupan7Ek43nMX3fkDt9jBsgQKRiIhUKQpFckFr95/i3hlr6GJbS/+A2aRZzCwMicA6+DvwCXF1eSIiIqVKt8+kSOsPnmbYJ2u41rqctz3ex5JiIySsGTfc+iVu3sGuLk9ERKTUKRRJIZsOJzN0+mq6un/JW6a5uGFAm9sZdMv7YHF3dXkiIiJlQrfPpIAtR1IYPG0V7X3f56+odbwSGoy9/b0w8EMFIhERqdIUisRpe2Iqg6f9xQPWLxjCX1gMA7+IaLjpLTDrrSIiIlWbbp8JALuS0hj80Uoez53OvW6/QgZ8VWcAza79P0wmk6vLExERKXMKRcKeY2cY/OEfdPN7jUFnNmPYTZhuepPmHe93dWkiIiLlRqGomos/kc7QD5cTEzCG34MySfGtycedX8EUc6erSxMRESlXGihSjR08mcF9Hy5hXPZYnkrfR4jNxt2t78OsQCQiItWQeoqqqUOnMnjgw1jezPov7S27MQwffu7+Nj5N+ri6NBEREZdQKKqGEpIzeWjad9QMnEANWwJ2SxDmId/hU6eDq0sTERFxGd0+q2aOpmTx+AfzqOszno2+8GxEBKZh80GBSEREqjn1FFUjx1KzGPXBd0zKeBGv7NM861mbF65/H1OtNq4uTURExOUUiqqYtxfuwmI28di1TQocP56WzaPvfMz/rOMIM6WSG9iIj/7xIwTWcVGlIiIiFYtCURVjMZuYuHAXgDMYnUrP4ZH/vcrxyDnsPZ5NoH9rPIb9AL6hrixVRESkQlEoqmLyglBeMPpn13q8+Na7NAj5ih1u3kyvGUXnO+eDj3a6FxEROZdCUVWzeByPuVnguoFMXLiLrbGfM9n9XUwnrNR2q8sDDW/CpEAkIiJSSLUNRVOmTGHKlCnYbDZXl1K6zBZYPJZ/dbexxesQU4wvcTPZyQ5uwuNHd0MLP1dXKCIiUiGZDMMwXF2EK6WmphIYGEhKSgoBAQGuLqdU2Ba/zs9rJ/F8WA2eO3maNimhtDbvh14vQI9Rri5PRETkspXF57fWKapiDMNg9IYAtnt4YJhM7Hd3p7V5P2/l3sZk60BXlyciIlJhVdvbZ1XVcx98y3MprxBoyqBjVjZXZ2aCxQP37s8WmpUmIiIi+RSKqpAFf63mkYTnCDRncMYznJ6ZSWDxAFsOj7nNgesGYrNX67ulIiIiF6TbZ1XEX7v38VHc/XxY00aKJQC/7CTHGKIXjzv+u3gsj7nN4cnrmrq6VBERkQpJPUVVwKETaaz7fhjx4XZOuPvwcHIigecOqs777+KxBR+LiIiIk0JRJZeSkcuqDx7m0dw4WiX54tOgJ7W7Dy0cfPIe26vYEgQiIiKlRKGoEsux2vl+6mjuzZ0HQMw1EwnqeOeFn6AeIhERkQvSmKJKyjAM/jtrFMt8vifFbCap03MXD0QiIiJyUQpFldRnc7/lT+Mn1np7MbVeF8Jv+I+rSxIREanUFIoqod9WrKbvxqf48Ogx+ub48tTdc8BkcnVZIiIilZrGFFUy63bup+FvwwgzpWB3b8Ib/1wI7l6uLktERKTSU09RJbIzIYmPFg7E4pHEaUsoYQ/OBU9/V5clIiJSJSgUVRKnzmTz3neDWOFv5V8R4bgP/RpzUB1XlyUiIlJlKBRVAlm5Nha+/yQvn95KTFY2TzV/EL+67V1dloiISJWiMUUVnN1u8M201xmS/jkAbzZ9kvCrHnZxVSIiIlWPeooquAmzx9Ig+V0ADrd6mPBeCkQiIiJlQaGoAvv019n8kPklI2rVYF7tq6kz6DVXlyQiIlJl6fZZBbVq03a6rXyezWEGBz0DuX7IZ2BWhhURESkrCkUV0O7DR/H77m4amE4wMrkOfo/+iKdXoKvLEhERqdLU9VDBJCanEvvFbbQy7SPVFEDwA3PxC4pydVkiIiJVnnqKKpCMrFzGfNGfleEpZJ8O4d4bP8OzZhNXlyUiIlItqKeogrDZDeZ9OJp2OXsxGQa1Ww0joOlVri5LRESk2lBPUQXx/efvc/vJDzCbDNrUH8JV141xdUkiIiLVinqKKoDP5n3CjXtewmwyiG9wF1cNGOvqkkRERKod9RS52A9/LuCD42+yOjyQR6xNaT74PTCZXF2WiIhItVNte4qmTJlCy5Yt6dixo8tq2LHvAFnLnyHDZOKghy9R980Ai3KqiIiIK5gMwzBcXYQrpaamEhgYSEpKCgEBAeX2uoknkzn6Xl+uMLazxDucpv/8lshabcvt9UVERCqzsvj8rrY9Ra6UlpnNpg8Gc4WxnXR8aH+XApGIiIir6V5NObPa7Dw/YyBHQ/fSJskdt36fULOuApGIiIirqaeoHBmGwewZr7DJcz87PD1YFDOUmjF9XV2WiIiIoJ6icvXLD19wx8F36OFu4vsGffhnv7dcXZKIiIicpZ6icrL8jyV02/AUbiY7maF9eezuL1xdkoiIiJxDoagcLN+0gne2PsJBTyvxvlfQePjHWotIRESkglEoKmOHjx7jy+UPsdPLwothEdR56DtM7l6uLktERETOo1BUhlLSMzky7U5eP3GI3mdyeb33h7j713B1WSIiIlIEDbQuIzm5Ntb8bzi9revIwoPRvT+mRoMrXV2WiIiIXIB6isqAYRi8NONuMH7Hbpg4dv0UajRTIBIREanI1FNUBqZ89SILPLbxU81Q3vC/mT5X/sPVJYmIiMjfUCgqZcti53Pvjqkkh/qR6t+UPoPGu7okERERKQaFolK0adM62ix7CF9TLrfZWtF0yFxXlyQiIiLFpDFFpWTT3s38sXAwQaY09ns2o+lDszFb3F1dloiIiBSTeopKwfHTp3hl0WB2hrqR6hbJ40PmYvbyc3VZIiIiUgLqKbpMWTm57P5gKLeeOUGAzc71vSfiHRLp6rJERESkhNRTdBkMw2D51BFcl7WMjlkW2l39Hs1b3eDqskREROQSqKfoMrw/6wl6nvoSgPgrX6d5x4EurkhEREQulXqKLtHUOa/yoRHL2oiaPOo/kPbXP+DqkkREROQyqKfoEmxcvYzGOz/E0zDwdoug3V1ai0hERKSyU09RCcXv3Umtn/5JDKmYT9Xnqkd/xmRWthQREans9GleAgcSD3D6i9sI5zQHLfW48sEf8NTUexERkSpBPUXFlJZ+hmd/HEharVzGJoVQ7945ePmHuLosERERKSXqKSoGu83O4g+HcsqSSZLFjdPXjyMospGryxIREZFSpJ6iYlj6yfP0T1lE5zQLf3R+lp4d73R1SSIiIlLK1FP0N37/7l16HX4fgKTWzzGozygXVyQiIiJlQT1FF/Hlb+/yQfL7+Ht54lbjNq649RlXlyQiIiJlRD1FF7Bn2waW7HmPk24WPgppSMzwd11dkoiIiJQhhaIiHEs8hNfXd/DO8SRuT3XjjbvmYzJbXF2WiIiIlCGFovOcSUvl1LRB1CGJU4TzxF0LCPQPdXVZIiIiUsYUis6Rk5vD419cx3bvw6Tgh2nwNwSERrq6LBERESkHGmh9lmEYTPn4LlZ7ZbDBM4Swri/QrVFbV5clIiIi5USh6KzV307kicRFuAUFYjY3pNtVd7m6JBERESlHun12VofdkzABI5JTaOff2dXliIiISDlTKDrLZDIAWBn1IF3vfd3F1YiIiEh50+2zsz4N8KdDzTvpOvwNV5ciIiIiLlBte4qmTJlCy5Yt6dixIwD9UjPpOvwtF1clIiIirmIyDMNwdRGulJqaSmBgICnP+rO16cO6dSYiIlIJOD+/U1IICAgolWtW256i862Ouo+uB6ay8pP/uLoUERERcQGForM6DX6FlfUeUjASERGppjTQ+hxd732dlZ8AdpurSxEREZFyplB0Ho0pEhERqZ50+0xEREQEhSIRERERQKFIREREBFAoEhEREQE00LpY7HY7OTk5ri5DREQqOHd3dywWi6vLkEukUPQ3cnJyiI+Px263u7oUERGpBIKCgoiIiMBkMrm6FCkhhaKLMAyDxMRELBYLUVFRmM262ygiIkUzDIOMjAyOHTsGQK1atVxckZSUQtFFWK1WMjIyiIyMxMfHx9XliIhIBeft7Q3AsWPHqFmzpm6lVTLq+rgIm82xsrWHh4eLKxERkcoi75fo3NxcF1ciJaVQVAy6LywiIsWlz4zKS6FIREREBIUiEREREUChSERERARQKKq2TCYTc+fOLfPXqV+/PpMmTaow1xGRiu/kyZPUrFmT/fv3u7qUAu68807eeustV5chZUihqIo6fvw4Dz/8MHXr1sXT05OIiAj69OnDihUrAEhMTOSGG25wcZWFzZgxg6CgoELH16xZw4MPPlj+BVUDJpPpol8vv/xyia+5detWBg0aRP369TGZTBcMtFOmTKF+/fp4eXnRuXNnVq9efXnfTDWwcuVKLBYLN910k6tLKTNjx45lwIAB1K9f33nsySef5NZbb3VdUcDo0aMZO3YsKSkpLq1Dyo5CURl6+eWXefXVV4s89+qrr17Sh01xDRo0iA0bNjBz5kx27drFjz/+SM+ePTl58iQAEREReHp6ltnrl7awsDCtFVVGEhMTnV+TJk0iICCgwLGnn366xNfMyMigYcOGjB8/noiIiCLbzJ49m5EjRzJmzBjWr19PdHQ0ffr0cS58J0WbPn06I0aMYNmyZSQkJJTLa5bnNkcZGRlMnz6d4cOHFzi+evVqOnToUG51FKV169Y0atSIzz77zKV1SBkyqrmUlBQDMFJSUgqdy8zMNLZt22ZkZmZe0rVfeeUVAzBeeeWVYh0vLadPnzYAY8mSJRdsAxhz5swxDMMw4uPjDcCYPXu20a1bN8PLy8vo0KGDsXPnTmP16tVG+/btDV9fX6Nv377GsWPHnNfo0aOH8fjjjxe47oABA4yhQ4c6H9erV894++23nY/feusto3Xr1oaPj49Rp04d4+GHHzbS0tIMwzCMxYsXG0CBrzFjxhR5nQMHDhj9+/c3fH19DX9/f+P22283jh496jw/ZswYIzo62pg1a5ZRr149IyAgwLjjjjuM1NTUkv0wq5lPPvnECAwMLNVrnv9nl6dTp07Go48+6nxss9mMyMhIY9y4caX6+lVJWlqa4efnZ+zYscO44447jLFjxxY436NHD+PRRx81Hn30USMgIMCoUaOGMXr0aMNut19Sm8cff9yoUaOG0bNnTyMrK8sYMWKEERYWZnh6ehpXXXWVsXr1audzjh07ZoSHhxeoacWKFYa7u7uxaNGiYn+P33zzjREWFuZ8nJ2dbbi5uRX4d6Fz587FupbVajW2bdtW7Ncujv/+979Gt27dLtrmcj87pHgu9vl9qdRTVIZefPFFXnnlFV566SVnj9Grr77KSy+9xCuvvMKLL75YJq/r5+eHn58fc+fOJTs7u9jPGzNmDKNHj2b9+vW4ublx9913M2rUKN555x2WL1/Onj17eOmlly6rNrPZzOTJk9m6dSszZ87k999/Z9SoUQBceeWVhXoqiuqlsNvtDBgwgFOnTrF06VIWLlzIvn37uOOOOwq027t3L3PnzmX+/PnMnz+fpUuXMn78+Muqv6QMwyAjx+qSL8MwSvV7yXtfXejroYceKva1cnJyWLduHb1793YeM5vN9O7dm5UrV5Zq3cWRkZtBRm5GgZ9Zri2XjNwMcmw5Rba1G/n7IebaHW2zbdnFanupvv76a5o3b06zZs0YPHgwH3/8caE/55kzZ+Lm5sbq1at55513mDhxItOmTbukNh4eHqxYsYKpU6cyatQovvvuO2bOnMn69etp3Lgxffr04dSpU4CjN/fjjz/m5ZdfZu3ataSlpTFkyBD+/e9/c+211xb7e1y+fDnt27d3PnZzc3Pe9t+4cSOJiYn88ssvxbrWggUL6NKly9/eln3xxRdp1qwZQ4YMITU1lR9++IG2bdty9dVXExcXV6Btp06dWL16dYn+bZXKQ9t8lLG84PPSSy/xf//3f+Tk5JRpIALHPyIzZszggQceYOrUqbRr144ePXpw55130rZt2ws+7+mnn6ZPnz4APP7449x1113ExsZy1VVXATB8+HBmzJhxWbU98cQTzv+vX78+//d//8dDDz3E//73Pzw8PAgMDMRkMl3wlgtAbGwsmzdvJj4+nqioKABmzZpFq1atWLNmDR07dgQc4WnGjBn4+/sDMGTIEGJjYxk7duxlfQ8lkZlro+VLv5bb651r2yt98PEovb/iGzduvOj5gICAYl/rxIkT2Gw2wsPDCxwPDw9nx44dl1LeZen8RWcAlt6xlBCvEAA+2foJ7254l0FNBvHylS872/b8uieZ1kx+GfQLtf1qA/DVjq+YsGYCNza4kdevft3Ztu93fTmdfZo5/efQOLgxAD/s+YHbmt52SXVOnz6dwYMHO67dty8pKSksXbqUnj17OttERUXx9ttvYzKZaNasGZs3b+btt9/mgQceKFGbJk2aMGHCBADS09N5//33mTFjhnMs4kcffcTChQuZPn06zzzzDAA33ngjDzzwAPfccw8dOnTA19eXcePGleh7PHDgAJGRkc7HZrOZhIQEatSoQXR0dImu1b9/f0aNGsX111/PokWLirz99ssvv3D69GnWrl3LO++8w6BBgzh16hTff/89drudRx55hEWLFjnbR0ZGkpOTw9GjR6lXr16J6pGKTz1F5eDFF1/Ew8ODnJwcPDw8yjQQ5Rk0aBAJCQn8+OOP9O3blyVLltCuXbuLhppzA1Peh1WbNm0KHLvc8R6LFi3i2muvpXbt2vj7+zNkyBBOnjxJRkZGsa+xfft2oqKinIEIoGXLlgQFBbF9+3bnsfr16zsDETg2Z9R4lUvXuHHji37VrFnT1SVWaTt37mT16tXcddddgOOXnzvuuIPp06cXaNelS5cCKyp37dqV3bt3O7ctKm6bc3tr9u7dS25urvMXJAB3d3c6depU4O8cwJtvvonVauWbb77h888/L/HYxczMTLy8vAoc27BhwwUD0ZIlSy46UWD06NGkpKQU6kk+99pDhw7F39+f0aNHc+rUKUaNGkXjxo1p2rQpNWrUKDCmKm9vs5L8myWVh3qKysGrr77qDEQ5OTm8+uqr5RKMvLy8uO6667juuut48cUXuf/++xkzZgzDhg0rsr27u7vz//P+wTz/mN2efxvAbDYX6rq/2F4/+/fv5+abb+bhhx9m7NixhISE8McffzB8+HBycnJKfSD1ubUXVX958Ha3sO2VPuX6mue+dmny8/O76PnBgwczderUYl0rNDQUi8VCUlJSgeNJSUkX7SUsK6vuXgWAt5u389i9re5lcIvBuJkL/jO55B9LAPByy//gvrP5nQxqMgiLueDP/JdBvxRqO6DxgEuqcfr06Vit1gK9KIZh4OnpyXvvvUdgYOAlXfdCfH19L+l5e/fuJSEhAbvdzv79+wv8YlUcoaGhnD59usCxjRs3XjAUFRXMzvX111/z6quv8sYbbxR5vlmzZvzyyy907NiRhQsXYjKZGD9+PNdeey1ubm4kJSUV2P/y3NuFUvUoFJWx88cQ5T0GyiUYnatly5alujZRWFgYiYmJzsc2m40tW7bQq1evItuvW7cOu93OW2+9hdns6KT8+uuvC7Tx8PAo8NtqUVq0aMGhQ4c4dOiQs7do27ZtJCcn07Jly8v5lkqdyWQq1VtYrlSat888PDxo3749sbGx3HLLLYDjdmdsbCz//ve/L6PKS+PjXjiQu1vccbe4F6+t2R13c/HblpTVamXWrFm89dZbXH/99QXO3XLLLXz55ZfOMV2rVq0qcP6vv/6iSZMmBXZrL06bczVq1Mg5vijvllFubi5r1qwpcEs8JyeHwYMHc8cdd9CsWTPuv/9+Nm/eXKJexCuuuKLQ7K7NmzczaNCgItv7+PjQvHnzIs8tXLiQcePG8eWXX15wOv/AgQP5+eefqVu3LpGRkfzwww8sWLCA6OhovL29+d///leg/ZYtW6hTpw6hoaHF/p6k8qga/1pXUEUNqj53jNG5j0vTyZMnuf3227nvvvto27Yt/v7+rF27lgkTJjBgwKX9llqUa665hpEjR7JgwQIaNWrExIkTSU5OvmD7xo0bk5uby7vvvku/fv2cAzjPVb9+fc6cOUNsbCzR0dH4+PgU6kHq3bs3bdq04Z577mHSpElYrVYeeeQRevTo4fIpu1VZ48aNi902JyeHbdu2Of//yJEjbNy4ET8/P+d1Ro4cydChQ+nQoQOdOnVi0qRJpKenc++995ZJ/ZXZ/PnzOX36NMOHDy/UIzRo0CCmT5/uDEUHDx5k5MiR/Otf/2L9+vW8++67hRYcLE6bc/n6+vLwww/zzDPPEBISQt26dZkwYQIZGRkFps6/8MILpKSkMHnyZPz8/Pjpp5+47777mD9/PgDvvfcec+bMITY29oKv1adPH5577jlOnz5NcHAw4AjMO3fuJCEhAV9f32L3inXp0oW5c+c6x0oWxWQy8dFHHxU49uCDD/LAAw8UubHr8uXLCwVTqUJKbR5bJVWWU/LHjBlzwWn3r7zyinO6eWnLysoynn32WaNdu3ZGYGCg4ePjYzRr1swYPXq0kZGRYRhG0VPyN2zY4LxG3vT406dPO4+dP107JyfHePjhh42QkBCjZs2axrhx4/52Sv7EiRONWrVqGd7e3kafPn2MWbNmFXqdhx56yKhRo0apTMk/19tvv23Uq1evBD/J6qe0puTnvafO/+rRo0eBdu+++65Rt25dw8PDw+jUqZPx119/XfZrV0U333yzceONNxZ5btWqVQZgxMXFGT169DAeeeQR46GHHjICAgKM4OBg4/nnny803b44bc5fbiMzM9MYMWKEERoaWuSU/MWLFxtubm7G8uXLncfi4+ONgIAA43//+59hGI6/l8X5O9ipUydj6tSpzseffvqpERkZaQDG008//bfPLyuZmZlGYGCgsXLlyr9tpyn5Za8spuSbDKOU5+1WMqmpqQQGBpKSklKo+z8rK4v4+HgaNGhQaOCfiEhF07NnT2JiYi66JU5x2rjaggULeOaZZ9iyZYvzVntF8P777zNnzhx+++23i7bTZ0f5uNjn96XS7TMREalQbrrpJnbv3s2RI0cKzDJ1NXd3d959911XlyFlSKFIREQqnHMHcFcU999/v6tLkDKmUCQiUkUsWbKkVNqIVFcV52atiIiIiAspFImIiIigUCQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBRVaStXrsRisXDTTTe5uhSpwEwm00W/Xn755RJf86OPPqJ79+4EBwcTHBxM7969Wb16dYE2hmHw0ksvUatWLby9venduze7d+8upe9KRKTkFIqqsOnTpzNixAiWLVtGQkJCmb9eTk5Omb+GlL7ExETn16RJkwgICChw7Omnny7xNZcsWcJdd93F4sWLWblyJVFRUVx//fUcOXLE2WbChAlMnjyZqVOnsmrVKnx9fenTpw9ZWVml+e2JiBSbQlEVdebMGWbPns3DDz/MTTfdxIwZM5znlixZgslkYsGCBbRt2xYvLy+6dOnCli1bnG1mzJhBUFAQc+fOpUmTJnh5edGnTx8OHTrkbPPyyy8TExPDtGnTCmx8ePDgQQYMGICfnx8BAQH84x//ICkpCYAdO3bg4+PDF1984bzO119/jbe3N9u2bSvjn4oUJSIiwvkVGBiIyWQqcMzPz6/E1/z888955JFHiImJoXnz5kybNg273U5sbCzg6CWaNGkSo0ePZsCAAbRt25ZZs2aRkJDA3LlzS/k7FBEpHm3zUQKGYZCRkeGS1/bx8cFkMhW7/ddff03z5s1p1qwZgwcP5oknnuC5554rcI1nnnmGd955h4iICJ5//nn69evHrl27cHd3ByAjI4OxY8cya9YsPDw8eOSRR7jzzjtZsWKF8xp79uzhu+++4/vvv8disWC3252BaOnSpVitVh599FHuuOMOlixZQvPmzXnzzTd55JFH6NatG2azmYceeojXX3+dli1blt4PrKIwDMh1zXsGdx8owXvm7/xdOBo8eDBTp04t8lxGRga5ubmEhIQAEB8fz9GjR+ndu7ezTWBgIJ07d2blypXceeedpVa3iEhxKRSVQEZGxiX91lwazpw5g6+vb7HbT58+ncGDBwPQt29fUlJSWLp0KT179nS2GTNmDNdddx0AM2fOpE6dOsyZM4d//OMfAOTm5vLee+/RuXNnZ5sWLVqwevVqOnXqBDhumc2aNYuwsDAAFi5cyObNm4mPj3fubj1r1ixatWrFmjVr6NixI4888gg//fQTgwcPxsPDg44dOzJixIjL+wFVVLkZ8Fqka177+QTwKP575u9s3LjxoucDAgIueO4///kPkZGRzhB09OhRAMLDwwu0Cw8Pd54TESlvCkVV0M6dO1m9ejVz5swBwM3NjTvuuIPp06cXCEVdu3Z1/n9ISAjNmjVj+/btzmNubm507NjR+bh58+YEBQWxfft2ZyiqV6+eMxABbN++naioKGcgAmjZsqXzeXnX+/jjj2natClms5mtW7eWqBdMXKNx48aX9Lzx48fz1VdfsWTJEuctVhGRikihqAR8fHw4c+aMy167uKZPn47VaiUyMr+HwjAMPD09ee+990q1rpL0Xp0rLi6O9PR0zGYziYmJ1KpVq1TrqjDcfRw9Nq567VJ0KbfP3nzzTcaPH8+iRYto27at83hERAQASUlJBf7sk5KSiImJKb2iRURKQKGoBEwm0yWHgPJitVqZNWsWb731Ftdff32Bc7fccgtffvklzZs3B+Cvv/6ibt26AJw+fZpdu3bRokWLAtdau3ats1do586dJCcnF2hzvhYtWnDo0CEOHTrk7C3atm0bycnJzjFDp06dYtiwYbzwwgskJiZyzz33sH79ery9vUvvB1FRmEylegvLlUp6+2zChAmMHTuWX3/9lQ4dOhQ416BBAyIiIoiNjXWGoNTUVFatWsXDDz9cmmWLiBSfUc2lpKQYgJGSklLoXGZmprFt2zYjMzPTBZVdmjlz5hgeHh5GcnJyoXOjRo0yOnToYCxevNgAjFatWhmLFi0yNm/ebPTv39+oW7eukZ2dbRiGYXzyySeGu7u70alTJ+Ovv/4y1q5da3Tp0sXo0qWL83pjxowxoqOjC7yG3W43YmJijO7duxvr1q0zVq1aZbRv397o0aOHs83tt99udO7c2cjNzTXOnDljNGnSxHjkkUec57///nujWbNmpfuDkWL55JNPjMDAwMu+zvjx4w0PDw/j22+/NRITE51faWlpBdoEBQUZP/zwg7Fp0yZjwIABRoMGDSrV3zeRolTGz47K6GKf35dKU/KrmOnTp9O7d28CAwMLnRs0aBBr165l06ZNgGOsx+OPP0779u05evQo8+bNw8PDw9nex8eH//znP9x9991cddVV+Pn5MXv27Iu+vslk4ocffiA4OJirr76a3r1707BhQ+fzZs2axU8//cSnn36Km5sbvr6+fPbZZ3z00Uf8/PPPAKSkpLBz587S+pGIC7z//vvk5ORw2223UatWLefXm2++6WwzatQoRowYwYMPPkjHjh05c+YMv/zyi8YdiYjLmAzDMFxdhCulpqYSGBhISkpKoe7/rKws4uPjC6zBUxUsWbKEXr16cfr0aYKCgopsM2PGDJ544gmSk5PLtTYRkcquqn52VDQX+/y+VOopEhEREUGhSERERARQKKqWevbsiWEYF7x1BjBs2DDdOhMRkWpFoUhEREQEhaJiqeZj0UVEpAT0mVF5KRRdhMViARz7e4mIiBRH3sbheZtrS+WhFa0vws3NDR8fH44fP467uztmszKkiIgUzTAMMjIyOHbsGEFBQc5frKXyUCi6CJPJRK1atYiPj+fAgQOuLkdERCqBoKAg5/5+UrkoFP0NDw8PmjRpoltoIiLyt9zd3dVDVIlViVA0f/58nnrqKex2O//5z3+4//77S/X6ZrNZq5KKiIhUcZU+FFmtVkaOHMnixYsJDAykffv2DBw4kBo1ari6NBEREalEKv3I4dWrV9OqVStq166Nn58fN9xwA7/99puryxIREZFKxuWhaNmyZfTr14/IyEhMJhNz584t1GbKlCnUr18fLy8vOnfuzOrVq53nEhISqF27tvNx7dq1OXLkSHmULiIiIlWIy2+fpaenEx0dzX333cett95a6Pzs2bMZOXIkU6dOpXPnzkyaNIk+ffqwc+dOatasWeLXy87OJjs72/k4JSUFcOy2KyIiIpVD3ud2qS6WaVQggDFnzpwCxzp16mQ8+uijzsc2m82IjIw0xo0bZxiGYaxYscK45ZZbnOcff/xx4/PPP7/ga4wZM8YA9KUvfelLX/rSVxX4OnToUKnlENPZMFIhmEwm5syZwy233AI4VpL28fHh22+/dR4DGDp0KMnJyfzwww9YrVZatGjBkiVLnAOt//zzzwsOtD6/p8hut9O+fXvWr1+PyWQqy2/vgjp27MiaNWsq7LUv5xolfW5J2hen7d+1SU1NJSoqikOHDhEQEFDsOiuLsnxvufr1S+val3odvbddS+/tsrtOZXlvHzx4EJPJRGRkZKktruzy22cXc+LECWw2G+Hh4QWOh4eHs2PHDsCx6vRbb71Fr169sNvtjBo16qIzzzw9PfH09Cx0LDAwsPS/gWKyWCxl9o9WaVz7cq5R0ueWpH1x2hb3egEBAVXyg6Ms31uufv3SuvalXkfvbdfSe7vsrlNZ3tuBgYGl/mdQoUNRcfXv35/+/ftf8vMfffTRUqymYr1+aVz7cq5R0ueWpH1x2rr6z9bVXP39V/T39uVcR+9t13L196/39qW1r+jv7Up/+0zkcqSmphIYGEhKSkqV/G1aqi+9t6WqKsv3tsun5F+Mh4cH7du3JzY21nnMbrcTGxtL165dXViZVBWenp6MGTOm0C1VkcpO722pqsryve3ynqIzZ86wZ88eAK644gomTpxIr169CAkJoW7dusyePZuhQ4fywQcf0KlTJyZNmsTXX3/Njh07Co01EhEREblULg9FS5YsoVevXoWODx06lBkzZgDw3nvv8cYbb3D06FFiYmKYPHkynTt3LudKRUREpCpzeSgSERERqQgq9JgiERERkfKiUCQiIiKCQpGIiIgIoFAkckEDBw4kODiY2267zdWliJSaQ4cO0bNnT1q2bEnbtm355ptvXF2SSKlITk6mQ4cOxMTE0Lp1az766KMSX0MDrUUuYMmSJaSlpTFz5ky+/fZbV5cjUioSExNJSkoiJiaGo0eP0r59e3bt2oWvr6+rSxO5LDabjezsbHx8fEhPT6d169asXbv2olt/nU89RSIX0LNnT/z9/V1dhkipqlWrFjExMQBEREQQGhrKqVOnXFuUSCmwWCz4+PgAjs3fDcOgpP0+CkVSJS1btox+/foRGRmJyWRi7ty5hdpMmTKF+vXr4+XlRefOnVm9enX5FypSQqX53l63bh02m42oqKgyrlrk75XGezs5OZno6Gjq1KnDM888Q2hoaIlqUCiSKik9PZ3o6GimTJlS5PnZs2czcuRIxowZw/r164mOjqZPnz4cO3asnCsVKZnSem+fOnWKf/7zn3z44YflUbbI3yqN93ZQUBBxcXHEx8fzxRdfkJSUVLIiDJEqDjDmzJlT4FinTp2MRx991PnYZrMZkZGRxrhx4wq0W7x4sTFo0KDyKFOkxC71vZ2VlWV0797dmDVrVnmVKlIil/Pvdp6HH37Y+Oabb0r0uuopkmonJyeHdevW0bt3b+cxs9lM7969WblypQsrE7k8xXlvG4bBsGHDuOaaaxgyZIirShUpkeK8t5OSkkhLSwMgJSWFZcuW0axZsxK9jkKRVDsnTpzAZrMV2lA4PDyco0ePOh/37t2b22+/nZ9++ok6deooMEmFV5z39ooVK5g9ezZz584lJiaGmJgYNm/e7IpyRYqtOO/tAwcO0L17d6Kjo+nevTsjRoygTZs2JXodt1KrWKSKWbRokatLECl13bp1w263u7oMkVLXqVMnNm7ceFnXUE+RVDuhoaFYLJZCA/CSkpKIiIhwUVUil0/vbamqyuu9rVAk1Y6Hhwft27cnNjbWecxutxMbG0vXrl1dWJnI5dF7W6qq8npv6/aZVElnzpxhz549zsfx8fFs3LiRkJAQ6taty8iRIxk6dCgdOnSgU6dOTJo0ifT0dO69914XVi3y9/TelqqqQry3SzpNTqQyWLx4sQEU+ho6dKizzbvvvmvUrVvX8PDwMDp16mT89ddfritYpJj03paqqiK8t7X3mYiIiAgaUyQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIlLFDBs2DJPJxPjx4wscnzt3LiaTyUVViUhloFAkIlWOl5cXr7/+OqdPn3Z1KSJSiSgUiUiV07t3byIiIhg3bpyrSxGRSkShSESqHIvFwmuvvca7777L4cOHXV2OiFQSCkUiUiUNHDiQmJgYxowZ4+pSRKSSUCgSkSrr9ddfZ+bMmWzfvt3VpYhIJaBQJCJV1tVXX02fPn147rnnXF2KiFQCbq4uQESkLI0fP56YmBiaNWvm6lJEpIJTT5GIVGlt2rThnnvuYfLkya4uRUQqOIUiEanyXnnlFex2u6vLEJEKzmQYhuHqIkRERERcTT1FIiIiIigUiYiIiAAKRSIiIiKAQpGIiIgIoFAkIiIiAigUiYiIiAAKRSIiIiKAQpGIiIgIoFAkIiIiAigUiYiIiAAKRSIiIiIA/D+qya4y1+TsRwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from slotted_aloha_simulator import live_plot\n", "live_plot(data, {'p0': 1/8})" ] }, { "cell_type": "code", "execution_count": 16, "id": "7fdb37dd", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T17:53:11.730275Z", "start_time": "2024-02-28T17:53:11.466799Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "live_plot(data, {'p0': 1/2})" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }