diff --git a/.ipynb_checkpoints/abc_sim-simpler-checkpoint.ipynb b/.ipynb_checkpoints/abc_sim-simpler-checkpoint.ipynb new file mode 100644 index 0000000..b3c910c --- /dev/null +++ b/.ipynb_checkpoints/abc_sim-simpler-checkpoint.ipynb @@ -0,0 +1,3004 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import scipy.stats as sts\n", + "import seaborn as sns\n", + "\n", + "%matplotlib inline\n", + "\n", + "#import conviction files\n", + "#from conviction_helpers import *\n", + "#from conviction_system_logic3 import *\n", + "from bonding_curve_eq import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "System initialization" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "hatch_raise = 100000 # fiat units\n", + "hatch_price = .1 #fiat per tokens\n", + "theta = .5 #share of funds going to funding pool at launch\n", + "\n", + "R0 = hatch_raise*(1-theta)\n", + "F0 = hatch_raise*theta\n", + "S0 = hatch_raise/hatch_price\n", + "\n", + "kappa = 2\n", + "V0 = invariant(R0,S0,kappa)\n", + "P0 = spot_price(R0, V0, kappa)\n", + "\n", + "dust = 10**-8" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "agent initialization" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#number of agents\n", + "n= 100\n", + "\n", + "#gain factors\n", + "g = np.random.normal(2, .5, size=n)\n", + "phat0 = g*F0/S0 #derivative, integral and proportion\n", + "#agents as controllers, co-steering\n", + "\n", + "#wakeup rates\n", + "gamma = sts.expon.rvs(loc=1,scale=5, size=n)\n", + "\n", + "#holdings fiat\n", + "h = sts.expon.rvs( loc=100,scale=1000, size=n)\n", + "\n", + "#holdings tokens\n", + "s_dist = sts.expon.rvs(loc=10, scale=10, size=n)\n", + "s0 = s_dist/sum(s_dist)*S0\n", + "\n", + "#lambda for revenue process\n", + "lam = 200\n", + "\n", + "#phi for exiting funds\n", + "phi = .05\n", + "\n", + "#beta is param for armijo rule\n", + "beta = .9" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([36., 30., 9., 15., 2., 3., 1., 2., 0., 2.]),\n", + " array([ 1.04141196, 3.82813124, 6.61485053, 9.40156981, 12.1882891 ,\n", + " 14.97500838, 17.76172766, 20.54844695, 23.33516623, 26.12188551,\n", + " 28.9086048 ]),\n", + " )" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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z3O63VcZ1PXO+35L8Fv2TnuvoH2TfW1V/1eXJPcBZwPeBP66qt1b9Le8UlaQ2eKeoJDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNMNAlqRH/BxuL+Qkl7G/QAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(gamma)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "params= {\n", + " 'kappa': [kappa],\n", + " 'lambda': [lam],\n", + " 'gains': [g],\n", + " 'rates':[1/gamma],\n", + " 'population':[n],\n", + " 'beta':[beta],\n", + " 'phi': [phi],\n", + " 'invariant': [V0],\n", + " 'dust' : [dust]}" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "initial_conditions = {'holdings': h,\n", + " 'tokens': s0,\n", + " 'supply': S0,\n", + " 'prices': phat0,\n", + " 'funds':F0,\n", + " 'reserve': R0,\n", + " 'spot_price': P0,\n", + " 'actions': {}}" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'actions': {},\n", + " 'funds': 50000.0,\n", + " 'holdings': array([ 282.63545304, 136.7389098 , 3138.07335652, 981.28376369,\n", + " 2906.21681467, 264.97574521, 1004.95498987, 345.25506406,\n", + " 629.919472 , 1026.71659708, 3496.50721903, 135.04636557,\n", + " 641.46232263, 246.44196565, 2089.32058936, 184.83270219,\n", + " 2821.03030926, 1169.32324036, 626.72522603, 1944.22414317,\n", + " 434.44329778, 389.8230516 , 405.782934 , 640.8370886 ,\n", + " 615.0064134 , 394.4329894 , 1554.72045835, 2239.4879189 ,\n", + " 1825.58153935, 172.56683069, 2801.71212732, 138.17422388,\n", + " 257.82357911, 1079.20507087, 1174.67069012, 1272.79255728,\n", + " 339.62943481, 3259.54671374, 262.76927555, 1875.54418147,\n", + " 2773.26348672, 335.20392394, 630.64451682, 1626.62508183,\n", + " 228.76436205, 1806.83656097, 2482.82315863, 2666.55839065,\n", + " 377.34543697, 452.16604752, 253.49029494, 2594.61379587,\n", + " 762.94188172, 398.04965375, 379.60934133, 2247.24348151,\n", + " 373.33364887, 587.99794308, 212.76517416, 879.91971429,\n", + " 1659.21826119, 1320.81080261, 1031.06422805, 569.5564537 ,\n", + " 1915.53360789, 261.45759518, 428.12912887, 132.8651666 ,\n", + " 1308.75846435, 392.23184433, 395.11082792, 3088.36627223,\n", + " 664.79311345, 189.63502079, 182.57163302, 713.36371308,\n", + " 199.66135386, 503.80249808, 1133.27009144, 605.78113095,\n", + " 1869.06017349, 379.01442111, 3090.80478092, 1059.01056609,\n", + " 956.7733161 , 697.05797644, 1720.95374101, 1760.73856074,\n", + " 230.53577995, 230.71606111, 1302.40140745, 2904.44856434,\n", + " 482.06941006, 324.48515021, 1092.87431996, 555.19690026,\n", + " 4018.18351725, 872.92854412, 299.99260818, 739.76322721]),\n", + " 'prices': array([0.07057575, 0.06910979, 0.05976038, 0.06040184, 0.05813116,\n", + " 0.13852504, 0.05523474, 0.09264551, 0.10483297, 0.10374504,\n", + " 0.15398647, 0.06795835, 0.14059969, 0.10220073, 0.12909322,\n", + " 0.06805711, 0.08151096, 0.11060644, 0.07769943, 0.10562369,\n", + " 0.07791838, 0.08997325, 0.05106856, 0.04452126, 0.09028859,\n", + " 0.07676566, 0.14061521, 0.14561837, 0.09288023, 0.0768329 ,\n", + " 0.10693127, 0.12041012, 0.12392477, 0.12897819, 0.04448577,\n", + " 0.11020483, 0.08295924, 0.09153692, 0.11696329, 0.07786095,\n", + " 0.11313174, 0.08425374, 0.10004853, 0.09457558, 0.09439068,\n", + " 0.12642748, 0.1227776 , 0.06932975, 0.10765398, 0.09823745,\n", + " 0.08637488, 0.10568644, 0.097647 , 0.10492802, 0.09374772,\n", + " 0.0495991 , 0.1004847 , 0.11605387, 0.0715345 , 0.11768349,\n", + " 0.09727936, 0.10298254, 0.08816026, 0.13218636, 0.11324432,\n", + " 0.09421468, 0.06051342, 0.12732992, 0.12020966, 0.13284122,\n", + " 0.12867585, 0.02949887, 0.13024668, 0.09628 , 0.09429219,\n", + " 0.08837476, 0.10547617, 0.11336019, 0.07242055, 0.11713005,\n", + " 0.07635606, 0.0909236 , 0.10016483, 0.13694239, 0.14547098,\n", + " 0.05989096, 0.12590502, 0.03953753, 0.1653083 , 0.12011383,\n", + " 0.11763686, 0.06317462, 0.09058067, 0.12422401, 0.13560198,\n", + " 0.09769266, 0.10509481, 0.12603481, 0.12759975, 0.07022326]),\n", + " 'reserve': 50000.0,\n", + " 'spot_price': 0.09999999999999999,\n", + " 'supply': 1000000.0,\n", + " 'tokens': array([ 6230.98362085, 8232.90761727, 11329.77258635, 8745.96172322,\n", + " 5200.33438209, 11521.49651346, 21018.8800454 , 14877.43276198,\n", + " 6652.0515741 , 9600.46030875, 4823.40729039, 7690.3800175 ,\n", + " 8884.40237292, 19246.2429887 , 13520.28193649, 6100.54824589,\n", + " 5849.73508465, 4714.99623144, 6836.17170644, 6667.20531118,\n", + " 10848.69180629, 14672.37137299, 11550.00804376, 7359.92245451,\n", + " 5762.6423862 , 6719.56678383, 5784.20904258, 11350.57147571,\n", + " 11119.92391514, 22353.23808843, 5139.62424156, 12359.20834145,\n", + " 6036.21369945, 5702.15832298, 13694.0256394 , 8133.16709576,\n", + " 12143.60893334, 8582.55974773, 5172.28503065, 18953.58999492,\n", + " 20503.2623806 , 24280.16375302, 8247.44638068, 5694.52822136,\n", + " 10032.43506676, 7692.87507937, 8128.93712625, 18840.26354567,\n", + " 15585.15231555, 7545.77173821, 6802.56378219, 6666.23707648,\n", + " 5651.38109468, 11047.4076349 , 6118.64250977, 8570.33787139,\n", + " 6005.77795536, 13477.08084299, 9849.72637724, 5444.14567608,\n", + " 22024.35965061, 15829.54925842, 5246.85104316, 6069.86310933,\n", + " 6760.99737366, 30254.63940294, 8173.40546492, 6569.39931025,\n", + " 6109.96021556, 7561.92346583, 5242.6856938 , 14886.56428162,\n", + " 4613.04715886, 5825.08709062, 14432.81530656, 20328.04709087,\n", + " 5102.82567538, 12665.37252605, 4739.31655091, 7415.74735239,\n", + " 5364.8653709 , 5462.76286061, 9748.81164187, 14980.06795587,\n", + " 4905.44538556, 5002.82648139, 7888.96336543, 13567.38477044,\n", + " 21825.34487449, 12013.34039119, 18417.99580798, 7391.52959249,\n", + " 8669.03599276, 10260.92032091, 5928.56244549, 8645.20651037,\n", + " 5524.16555136, 8029.62159235, 12385.5452196 , 6769.77168292])}" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "initial_conditions" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "#change in F (revenue and spending accounted for)\n", + "def revenue_process(params, step, sL, s):\n", + " lam = params['lambda']\n", + " rv = sts.expon.rvs(loc = 0, scale=1/lam)\n", + " delF= 1-1/lam+rv\n", + " \n", + " #avoid the crash (temporary hacks, tune martingale process better)\n", + " #if delF <1:\n", + " # if s['funds'] <1000:\n", + " # delF =100\n", + " \n", + " return({'delF':delF})" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def update_funds(params, step, sL, s, _input):\n", + " \n", + " funds = s['funds']*_input['delF']\n", + " \n", + " key = 'funds'\n", + " value = funds\n", + " \n", + " return (key, value)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def update_prices(params, step, sL, s, _input):\n", + " \n", + " g = params['gains']\n", + " phat = g*s['funds']/s['supply']\n", + " \n", + " key = 'prices'\n", + " value = phat\n", + " \n", + " return (key, value)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "#change in F (revenue and spending accounted for)\n", + "def choose_agents(params, step, sL, s):\n", + " n = params['population']\n", + " rates = params['rates']\n", + " \n", + " agents = []\n", + " for a in range(n):\n", + " sq_gap = (s['spot_price']-s['prices'][a])**2\n", + " pr = (rates[a]+sq_gap)/(1+sq_gap) #rates when sq_gap =0, 1 when sq_gap -> infty\n", + " rv = np.random.rand()\n", + " if rv < pr:\n", + " agents.append(a)\n", + " \n", + " #shuffle\n", + " shuffled_agents =np.random.choice(agents,len(agents), False) \n", + " \n", + " return({'agents':shuffled_agents})" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def agent_actions(params, step, sL, s, _input):\n", + " \n", + " R = s['reserve']\n", + " S = s['supply']\n", + " F = s['funds']\n", + " V0 = params['invariant']\n", + " P=s['spot_price']\n", + " \n", + " actions = []\n", + " for a in _input['agents']:\n", + " h_a = s['holdings'][a]\n", + " phat_a = s['prices'][a]\n", + " s_a = s['tokens'][a]\n", + " beta = params['beta']\n", + "\n", + " if P>phat_a: #equiv: pbar(0)>phat_a\n", + " mech = 'burn'\n", + " \n", + " #approx for burn s.t. p=phat\n", + " #armijo style\n", + " amt = s_a\n", + " \n", + " def pbar(amt):\n", + " output = withdraw_with_tax(amt, R,S, V0, params['phi'], params['kappa'])\n", + "\n", + " if not(output[2])>0:\n", + " return np.Infinity\n", + " else:\n", + " return output[2]\n", + "\n", + " if amt > 10**-8:\n", + " while pbar(amt)< phat_a:\n", + " amt = amt*beta\n", + "\n", + " else: # P0:\n", + " return 0\n", + " else:\n", + " return output[1]\n", + " \n", + " if amt > params['dust']:\n", + " while pbar(amt)> phat_a:\n", + " amt = amt*beta\n", + " \n", + " action = {'agent':a, 'mech':mech, 'amt':amt, 'pbar':pbar(amt),'posterior':{}}\n", + " \n", + " if action['mech'] == 'bond':\n", + " h_a = h_a-amt\n", + " dS, pbar = mint(amt, R,S, V0, params['kappa'])\n", + " R = R+amt\n", + " S = S+dS\n", + " s_a = s_a+dS\n", + " P = spot_price(R, V0, kappa)\n", + " \n", + " elif action['mech'] == 'burn':\n", + " s_a = s_a-amt\n", + " dR, pbar = withdraw(amt, R,S, V0, params['kappa'])\n", + " R = R-dR\n", + " F = F + params['phi']*dR\n", + " S = S-amt\n", + " h_a = h_a + (1-params['phi'])*dR\n", + " P = spot_price(R, V0, kappa)\n", + " \n", + " action['posterior'] = {'F':F, 'S':S, 'R':R,'P':P, 'a':a,'s_a':s_a, 'h_a':h_a}\n", + " actions.append(action)\n", + " \n", + " key = 'actions'\n", + " value = actions\n", + " \n", + " return (key, value)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def resolve_actions(params, step, sL, s):\n", + " \n", + " H_a = s['holdings']\n", + " S_a = s['tokens']\n", + " \n", + " actions = s['actions']\n", + " \n", + " for action in actions:\n", + " a= action['agent']\n", + " H_a[a] = action['posterior']['h_a']\n", + " S_a[a] = action['posterior']['s_a']\n", + " \n", + " #last action only\n", + " F = action['posterior']['F']\n", + " R = action['posterior']['R']\n", + " P = action['posterior']['P']\n", + " S = action['posterior']['S']\n", + " \n", + " return({'F':F, 'S':S, 'R':R,'P':P, 'S_a':S_a, 'H_a':H_a})" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def update_F(params, step, sL, s, _input):\n", + " \n", + " F = _input['F']\n", + " \n", + " key = 'funds'\n", + " value = F\n", + " \n", + " return (key, value)\n", + "\n", + "def update_S(params, step, sL, s, _input):\n", + " \n", + " S = _input['S']\n", + " \n", + " key = 'supply'\n", + " value = S\n", + " \n", + " return (key, value)\n", + "\n", + "def update_R(params, step, sL, s, _input):\n", + " \n", + " R = _input['R']\n", + " \n", + " key = 'reserve'\n", + " value = R\n", + " \n", + " return (key, value)\n", + "\n", + "def update_P(params, step, sL, s, _input):\n", + " \n", + " P = _input['P']\n", + " \n", + " key = 'spot_price'\n", + " value = P\n", + " \n", + " return (key, value)\n", + "\n", + "def update_holdings(params, step, sL, s, _input):\n", + " \n", + " H_a = _input['H_a']\n", + " \n", + " key = 'holdings'\n", + " value = H_a\n", + " \n", + " return (key, value)\n", + "\n", + "def update_tokens(params, step, sL, s, _input):\n", + " \n", + " S_a = _input['S_a']\n", + " \n", + " sumS = np.sum(S_a)\n", + " S = _input['S']\n", + " \n", + " tokens = S_a*S/sumS\n", + " \n", + " key = 'tokens'\n", + " value = tokens\n", + " \n", + " return (key, value)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n", + "# The Partial State Update Blocks\n", + "partial_state_update_blocks = [\n", + " { \n", + " 'policies': { \n", + " #new proposals or new participants\n", + " 'random': revenue_process\n", + " },\n", + " 'variables': {\n", + " 'funds': update_funds,\n", + " 'prices': update_prices\n", + " }\n", + " },\n", + " {\n", + " 'policies': {\n", + " 'random': choose_agents\n", + " },\n", + " 'variables': { \n", + " 'actions': agent_actions, \n", + " }\n", + " },\n", + " {\n", + " 'policies': {\n", + " 'act': resolve_actions,\n", + " },\n", + " 'variables': {\n", + " 'funds': update_F, #\n", + " 'supply': update_S, \n", + " 'reserve': update_R,\n", + " 'spot_price': update_P,\n", + " 'holdings': update_holdings,\n", + " 'tokens': update_tokens\n", + " }\n", + " }\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "time_periods_per_run = 5000\n", + "monte_carlo_runs = 1\n", + "\n", + "from cadCAD.configuration.utils import config_sim\n", + "simulation_parameters = config_sim({\n", + " 'T': range(time_periods_per_run),\n", + " 'N': monte_carlo_runs,\n", + " 'M': params\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[{'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'lambda': 200, 'gains': array([1.41151501, 1.38219589, 1.19520762, 1.20803678, 1.1626232 ,\n", + " 2.77050087, 1.10469473, 1.85291014, 2.09665945, 2.07490085,\n", + " 3.07972937, 1.3591671 , 2.81199389, 2.04401458, 2.58186449,\n", + " 1.36114227, 1.63021917, 2.21212879, 1.55398853, 2.11247388,\n", + " 1.55836769, 1.79946493, 1.02137126, 0.89042514, 1.80577178,\n", + " 1.53531329, 2.8123043 , 2.91236742, 1.85760469, 1.53665798,\n", + " 2.13862541, 2.40820235, 2.47849544, 2.57956379, 0.88971535,\n", + " 2.20409656, 1.6591847 , 1.83073833, 2.33926571, 1.55721901,\n", + " 2.2626349 , 1.6850749 , 2.00097051, 1.89151162, 1.88781355,\n", + " 2.5285497 , 2.45555209, 1.38659493, 2.15307961, 1.96474893,\n", + " 1.72749753, 2.11372884, 1.95294003, 2.09856037, 1.87495445,\n", + " 0.99198196, 2.00969397, 2.32107739, 1.43069004, 2.35366984,\n", + " 1.94558716, 2.0596508 , 1.76320517, 2.64372713, 2.26488638,\n", + " 1.88429352, 1.21026849, 2.54659831, 2.4041932 , 2.6568244 ,\n", + " 2.57351701, 0.5899773 , 2.60493354, 1.92559999, 1.88584373,\n", + " 1.76749513, 2.10952331, 2.26720383, 1.44841092, 2.34260096,\n", + " 1.52712128, 1.81847207, 2.00329663, 2.73884776, 2.90941964,\n", + " 1.19781926, 2.51810043, 0.79075058, 3.30616601, 2.40227656,\n", + " 2.35273726, 1.26349237, 1.81161343, 2.48448014, 2.7120397 ,\n", + " 1.95385314, 2.1018962 , 2.52069617, 2.55199493, 1.4044652 ]), 'rates': array([0.03459178, 0.27211995, 0.21413974, 0.55345298, 0.16704304,\n", + " 0.3385694 , 0.27881413, 0.23289803, 0.07504703, 0.20419938,\n", + " 0.23997822, 0.51907591, 0.05721753, 0.17148905, 0.72041586,\n", + " 0.29912412, 0.24784729, 0.10548151, 0.17925496, 0.09908998,\n", + " 0.10243438, 0.10925644, 0.20658925, 0.05170315, 0.08704104,\n", + " 0.139049 , 0.2194619 , 0.90727757, 0.28429184, 0.18735893,\n", + " 0.05884608, 0.18429328, 0.18834025, 0.09501419, 0.76876563,\n", + " 0.53998257, 0.28148064, 0.11343157, 0.10497436, 0.17687239,\n", + " 0.18324415, 0.10212253, 0.09575789, 0.328639 , 0.1610246 ,\n", + " 0.08577815, 0.38176694, 0.18177121, 0.54715589, 0.87990038,\n", + " 0.79342242, 0.06242689, 0.77186115, 0.30490284, 0.29497972,\n", + " 0.39458316, 0.10060439, 0.23286724, 0.20655117, 0.42621986,\n", + " 0.07019879, 0.46092812, 0.17834218, 0.42926109, 0.17974133,\n", + " 0.11465497, 0.48168397, 0.09294019, 0.18596604, 0.17035144,\n", + " 0.14414569, 0.96023479, 0.13862813, 0.08720664, 0.04862399,\n", + " 0.85154881, 0.19690226, 0.04659705, 0.32376471, 0.11205587,\n", + " 0.22438037, 0.49150402, 0.1106149 , 0.18625109, 0.1773235 ,\n", + " 0.21054064, 0.58345777, 0.2713739 , 0.67127688, 0.09426789,\n", + " 0.09622868, 0.35868145, 0.45184716, 0.03683387, 0.22589646,\n", + " 0.46851732, 0.25121892, 0.3714165 , 0.13338407, 0.09519016]), 'population': 100, 'beta': 0.9, 'phi': 0.05, 'invariant': 20000000.0, 'dust': 1e-08}}]\n" + ] + } + ], + "source": [ + "from cadCAD.configuration import append_configs\n", + "# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #\n", + "# The configurations above are then packaged into a `Configuration` object\n", + "append_configs(\n", + " initial_state=initial_conditions, #dict containing variable names and initial values\n", + " partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n", + " sim_configs=simulation_parameters #dict containing simulation parameters\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from tabulate import tabulate\n", + "from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n", + "from cadCAD import configs\n", + "import pandas as pd\n", + "\n", + "exec_mode = ExecutionMode()\n", + "multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n", + "run = Executor(exec_context=multi_proc_ctx, configs=configs)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " __________ ____ \n", + " ________ __ _____/ ____/ | / __ \\\n", + " / ___/ __` / __ / / / /| | / / / /\n", + " / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n", + " \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n", + " by BlockScience\n", + " \n", + "Execution Mode: multi_proc: []\n", + "Configurations: []\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:56: RuntimeWarning: invalid value encountered in double_scalars\n", + " realized_price = quantity_recieved/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:47: RuntimeWarning: invalid value encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:37: RuntimeWarning: invalid value encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:56: RuntimeWarning: divide by zero encountered in double_scalars\n", + " realized_price = quantity_recieved/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:47: RuntimeWarning: divide by zero encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:37: RuntimeWarning: divide by zero encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n" + ] + } + ], + "source": [ + "i = 0\n", + "verbose = False\n", + "results = {}\n", + "for raw_result, tensor_field in run.execute():\n", + " result = pd.DataFrame(raw_result)\n", + " if verbose:\n", + " print()\n", + " print(f\"Tensor Field: {type(tensor_field)}\")\n", + " print(tabulate(tensor_field, headers='keys', tablefmt='psql'))\n", + " print(f\"Output: {type(result)}\")\n", + " print(tabulate(result, headers='keys', tablefmt='psql'))\n", + " print()\n", + " results[i] = {}\n", + " results[i]['result'] = result\n", + " results[i]['simulation_parameters'] = simulation_parameters[i]\n", + " i += 1\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "experiment_index = 0\n", + "df = results[experiment_index]['result']" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " actions funds \\\n", + "0 {} 50000.000000 \n", + "1 {} 50305.518428 \n", + "2 [{'agent': 41, 'mech': 'burn', 'amt': 24280.16... 50305.518428 \n", + "3 [{'agent': 41, 'mech': 'burn', 'amt': 24280.16... 51090.564881 \n", + "4 [{'agent': 41, 'mech': 'burn', 'amt': 24280.16... 50972.669330 \n", + "\n", + " holdings \\\n", + "0 [282.63545303852584, 136.73890979910675, 3138.... \n", + "1 [282.63545303852584, 136.73890979910675, 3138.... \n", + "2 [282.63545303852584, 136.73890979910675, 3138.... \n", + "3 [282.63545303852584, 854.766924779869, 3138.07... \n", + "4 [282.63545303852584, 854.766924779869, 3138.07... \n", + "\n", + " prices reserve run \\\n", + "0 [0.07057575044967453, 0.06910979439987164, 0.0... 50000.000000 1 \n", + "1 [0.07057575044967453, 0.06910979439987164, 0.0... 50000.000000 1 \n", + "2 [0.07057575044967453, 0.06910979439987164, 0.0... 50000.000000 1 \n", + "3 [0.07057575044967453, 0.06910979439987164, 0.0... 49434.207904 1 \n", + "4 [0.07252661648939933, 0.0710201382509542, 0.06... 49434.207904 1 \n", + "\n", + " spot_price substep supply timestep \\\n", + "0 0.100000 0 1000000.000000 0 \n", + "1 0.100000 1 1000000.000000 1 \n", + "2 0.100000 2 1000000.000000 1 \n", + "3 0.099433 3 994325.981797 1 \n", + "4 0.099433 1 994325.981797 2 \n", + "\n", + " tokens \n", + "0 [6230.983620848502, 8232.907617271383, 11329.7... \n", + "1 [6230.983620848502, 8232.907617271383, 11329.7... \n", + "2 [6230.983620848502, 8232.907617271383, 11329.7... \n", + "3 [6230.9836208485, 0.0, 11329.772586345014, 0.0... \n", + "4 [6230.9836208485, 0.0, 11329.772586345014, 0.0... " + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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yGtd+8UKlYaHKQUkIB0or6DZlGrPsAnFpCWgLWlPe/d6zG22Nad00K+D1+U9+xaXPzQuQRbscP3M1BPIZQ6PMdL9y65DXKKXyR5T6iSoHJSG8tcCyrRes2wVEvxnWJzo0bxQiCw5pFY+11DnDOoXIAA6UVQQ4qLMz0rTwnpJwVDkoCWF5UFROKiqHRFT2WLxhD7e9s6RaxzbK8v46lpQGKoesjDR/cqGiJApVDkrc2XeonBe/WhcgSxWz0iu/HOXf/skRnSOONcawcsveKp3/sdmr/NtDOofv3eB1Obq29G5ItPdgecA6IzvDKgMSrg6TosQDVQ5K3CnzeKpNDdUAR/VsReHdE2nfPCdqYt6LXxYx/pHPmFe0M+bzu+/XC9bvrtLcLrRLawRTuHWfv4c0QHam9bVV05KSSFQ5KHHHq9NbRnrq/Ks5c2kWpV3p98VWhFFVsrudGzfAnWcMqNK8mmRncNXYnlHHOUphz4Hw/agVpaakzjdWqTds25f65aS7tmrMobLIT96O6SfYfHPVy/PpNmWaZ32mbJcSPG9EeLNVOCvbjRP68uylI0LP68p16NzScnjvO6TKQUkcqhyUuHPVy98mewpRyclM52B55Czj9s1zgMpudg7vL94MeNc/2u16mg9XAgO8o5Uc+rVvFiI7c0hH/7bTB2L/Ic2SVhKHKgcl7qxNYknsWGmUmR41y/jxj1cD8OwXaz33ezmE2zTN9m9X1wnfIS80FPaN74r9242zrG522g1OSSQxKQcRyRORqSKyXESWichRInK7iGwQkQX2zyTX+JtEpFBEVojIyS75BFtWKCJTXPLuIvKNiKwSkf+KSFbwHBQlnuwuKatxMUCve3+nFpU39ogrhyh6o1urxgGvyyoqFZHT6nTfoXLW7dif9O52Sv0k1pXDo8AMY0xfYDCwzJY/YowZYv9MBxCR/sAFwABgAvAPEUkXkXTgcWAi0B+40B4LcL99rl7ALuCKOHw2RQlLzza51aps+sKcylVEWXno8cs3W6Gv+a4VhBfR1hSRFEuurRye/nwNx/3lE377yndRzqYoVSeqchCRZsCxwLMAxphSY0ykGL0zgFeNMYeMMWuBQmCk/VNojFljjCkFXgXOEKs85fHAVPv4F4Ezq/uBlNRhzT2Tog9KEjkZ6VGfuEe4eiZs+fEgALe/u9Qv8/JZvLdwEwCzrz8OgPNHeGc9R+NAafi55dornnlFVvb5B3aJEkWJJ7GsHHoA24DnReQ7EXlGRJxsnWtEZKGIPCcizjepI+Dua1hsy8LJWwG7jTHlQXKljnLu8E50aJ4TUkwulcjOjJ5l7N7/9oLQHs5OtNPHy7eyfHNguGszuzLrT47wzl2QKHal4M55gzs19287KwdFSSSxKIcMYBjwhDFmKLAfmAI8AfQEhgCbgIfs8V7/9aYa8hBEZLKIFIhIwbZt22KYupIMps4vZuOeg8meRkTKK6wM43e/38hDH6zwHLNoQ2UlVS8T1Na91me8/IV5TPjr56zZFhq9NLxrC6b99pgQeTS16awcHPPUyQPb+fc1ykx+4ySl/hPLI0gxUGyMccpETgWmGGP8a1kReRp4zzXeHeDdCXDKX3rJtwN5IpJhrx7c4wMwxjwFPAUwYsQIrR2QYJw4/mhPuW7W7QiMAPrixnH4UjCR98nP1gDwG9tef/34PhHHrw0T2bR+Z2Wnt+Mf+pQxvVqzLyiKaECH5vRp25QVW/Zy/Um9Kd51IKpD2ilYuG2vlTOyc1+pf19ampCRJtoNTkkoUVcOxpjNwHoRcb49JwBLRaS9a9hZgNOU9x3gAhHJFpHuQC9gLjAP6GVHJmVhOa3fMdYd6GPgXPv4S4G3a/i5lBoyf90uut80PWwYZzhWbQl8eu7UojFdgiJvUoEzh3So0vjX5xeHyPaXVnDRs98EyD5ftd3TX3BUz1YAnDa4A/efOyhmheuExh7v6gYHcELQa0WJN7FGK/0G+LeILMQyI90DPCAii2zZOOD3AMaYJcBrwFJgBnC1MabCXhVcA8zEinZ6zR4LcCNwnYgUYvkgno3Lp1OqxaylWzjniS8BeK6KyiFSlE0qcebQyG4tY4zf8RuOfQfLWefqEe3gRCy5ueWUfrx7zTF0a+1dXC+YGyZYz2KnDurA2nsncXTP1lHfQ1HiSUyeLWPMAiA4p//iCOPvBu72kE8HpnvI12BFMykpgGNLB6ruO6gbuoHsjMAbf3mFL6D+U59bZ0QtbHf/jOUxv19GehqHu5zK0ehhK5EOeTmeq4zurXM9FZOixAvNkFZCqEly2GqPkhKpiLtAHhDgJyjavj/pFU9PHtCO5y8/gstHd/fc/8mKwICMblOm8eKXRbUwM6WhoMpBCaEm0TB3TbPyI9+6enS8ppMQ3IXsAGYv2wpY5qSxD37ieczMJVZNpYtHdQUqaxwlAhFhXJ82Yc10rXJDiwj845PChM1HaXioclBCyEir+b/FoRQv6RCsHFo2ycLnM7wyd32YI+BX/5oPQE5mGj3yc+nbrilnD0tOSs6cKceHyLQ7nBJPVDkoIQSHSC4sjr1pzageLQEY0DF2+3oyCO7lUFFheOmrIm5+c1GA/A8n9+GwoIS02cu20qN1LnsPluNRtbtWyPFY3ZVXaGirEj9UOSghBFcbXbkldj/C12usrmlNUjyLt03TnIDXz36xNqA0hsPV4w5j8rE9AmSb9hykSXYG+w6V47Ojmn5z/GH+/U6kUaK544wBdHRVcA3Or1CUmqDKQQmhPChrbe/B+t9U5qs1O8LucxLRHAyGJjkZ/LCzhJlLNlPmM4zvX5nB/LMjuyZsnm4uOaobs647NkDmVeZDUapDaj/eKUlh4+7A8NV1O0pYu30/PmPomd8kzFH1j+tO6g1ARpBT2OeDPQesp/SDdn2lRlmVz1lZtdgSVUtpKIlCVw5KCGUVgSuHHvm5jHvwE0546NOox04c2I6WHpE0dZET+7UFrLBSN6UVvogJclkZtfe1Cs6ByEyhXt1K3Ub/k5QQHp61MuC1u7T14x8XsrukNPgQP+8v3lwvbN+zrz+O/h2sdp1evRkaBSmHw9o09W8nM0vclywPuVLvUOWgROWe6ZWZwH+ZuYLb31niOc4p1JfsBLJY+d9VR/HyFUd67st0hfPmZmdQdN8p/tcn9msT4LQf0jkPgDvPGMBvT+iVoNnGhmPmUpSaospBCaCktPKpv+CWEz3HrAnTI/r74j2e8lRleNeWHNOrNX86tX/IvsyM0Kf/Uwe159zhnfj7T4cFhJI6TYEuPqqb30+RLA6keH6JUndQ5aAE4G592bqJd6tLr/Ia5RU+znx8TsLmlUj6tLNMQk1zKuMzvKph//2nw3jwvMHkZKYz0dVf4Y3vkhsh9MhPBnP7aZaCS/XkQ6XuoMpBCaAiBpu1k8swf90ubn1rMcaYOp2d6/gI+rVrxtAulomoQ/OcSIcwtEtlC9EPrzsucZOLgbOGduKndvhscMl0RakuGspaT5m2cBPj+ubTOKtqf2Inx6F9lJtjtynT/Nt/Oq0/2/cdijA6teneOhcRuGBkZ04f3IHSCl+VGhylQnSWEyH134L13H/uoCTPRqkP6MqhHrJ4wx6u/s+33PLW4uiDg3Dy36riWP1o+VZuC+Okrgu0bZbDsjsmcPawTmSkp8WsUM8d3onj+6Ze0507PDK9FaWq6MqhHrLfDiV1t7CMFWflkF6FJ2enIF1dxqtWUTQePG9wAmZSfdLThAqf4bk5a7lpUl/NeVBqhP731EP2HrSUw7yiXVU+1lk5OHb4nvlW05mHzhvMpMPbcfdZAz2Pu+WUfv7tc4d3qvL7KjXHKXoIsOdA/S95oiQWXTnUQx6dvarax/pXDrZyGNChOau37Wdgx+acM7wTRWHCWN1PqSekoKmloVFyqAIaTqUTJQGocqiHFLq6sQW3v4yGk2HrKIf7zjmcCQPb+cM9w3WJW2srjfm3nEirMCGwSmJxRyodKteQVqVmqFmpHuIu3/DqvPDNa4IpKS3393JwztE4K4NJh7f3j8lr7B2Zs3qbdWOqju1eiQ9bXdVjNVNaqSmqHOohFx9VWTI61oil2cu20P9PM/2lMcKV6Q5XVO5QWaA5SkkuB3XloNQQVQ71kJZhnu4j8fmq7UBlgtuiDeFLYRzXOz+kf3LBOuu44PLWSu3xz4uG+7e3/HgwwkhFiY4qh3pIPCpzntC3bdh9L/58JN/fNp6XrziSCXY5a6fchK4ckseEge34zy+sQoKqpJWaosohxfD5DAdKa2YS8KoLVF7h49a3FrNx9wHPY4KzfJ1Ko5E4pldrHv/ZsABZVTKLlfjTzs5sv/F/i6KMVJTIxKQcRCRPRKaKyHIRWSYiR4lISxGZJSKr7N8t7LEiIo+JSKGILBSRYa7zXGqPXyUil7rkw0VkkX3MY9KA7zB3T19Gvz/NqFG0idfK4es1O/nX1+uY8ob3TSM3qOdzWoxPnulpot3IUohs+2+x50CZP0hAUapDrCuHR4EZxpi+wGBgGTAFmG2M6QXMtl8DTAR62T+TgScARKQlcBtwJDASuM1RKPaYya7jJtTsY9Vdps4vBuw49Wris5cOvds28VcaLbPzFzbtPuDvu+Bm+aYfA15XeC0/wuCMPapHq2rNV4kf2a6Agcufn5fEmSh1najKQUSaAccCzwIYY0qNMbuBM4AX7WEvAmfa22cALxmLr4E8EWkPnAzMMsbsNMbsAmYBE+x9zYwxXxnrrvWS61z1mqc+W80nK7YGyJwvd02iTZz7+sot+9h7sJy5a3f6G/Cs2rqP3/93Qcgxr9tKyaFF48yQMeEotduKpkIBuoZOs5zKv9sP1SifoigOsawcegDbgOdF5DsReUZEcoG2xphNAPZvJy22I+AOri+2ZZHkxR7yEERksogUiEjBtm3bYph6anPP9OVcFvR058Sqb9tb/SqnjlnJaXR//pNfkesqJvfWgo3c+/6ysMcP6ZxXLd+BNppJPsGhxne9tzSgbeucwu0sC1olKooXsSiHDGAY8IQxZiiwn0oTkhdedxVTDXmo0JinjDEjjDEj8vPzI8+6jvOLFwuqfawxBhEY3rWy50Dwvf7JT9eEPb66Hp+Plm+NPkipVZ75Yi1/s8uplJSW87NnvmHio58neVZKXSAW5VAMFBtjvrFfT8VSFltskxD2762u8Z1dx3cCNkaRd/KQN2i21mDlUGEMaSJkpFt3eadapxfGGF4vCMyirqpuaJajVVhSiZHdWga8dlYOO/aV1ui8FT5Tp/t2KFUjqnIwxmwG1otIH1t0ArAUeAdwIo4uBd62t98BLrGjlkYBe2yz00xgvIi0sB3R44GZ9r69IjLKjlK6xHUupRr4jFVyu8QOia3wmbAd3r5avYM/TF0YIEur4tLhstHdqzdRJSEEhxeX2T6hctcDQnXCpe+atpQRd33IDlUQDYJYo5V+A/xbRBYCQ4B7gPuAk0RkFXCS/RpgOrAGKASeBn4NYIzZCdwJzLN/7rBlAFcBz9jHrAber9nHqrvkZFb+SZwvdVVZv7OE0gofXVs19st8YVYOXo7vWFqFurniGEs5dG7ZqErHKYkhv2lg4cPXCor5xyeFAf9P1XFWPz+nCIDhd31Yo/kpdYOY7AHGmAXACI9dJ3iMNcDVYc7zHPCch7wA8G4UUE8JV2+/aU4mB8usJ7MNuw7QrXVulc5b4TO8t3ATAOeP6Mwb327wy71wej+4qar5oXmjTD77wzhaNtFopVThrjMHBtTVemDGCn+AAkSv2rp62z7eXrCR35/Yi+tf+543vtuQsLkqqYkai5PE3LU7/duWA9ky5bif8HcfKGPG4s2M7ZMfc7XTG1wmolGuvIPJHt3afD4TEBfvUJ2nyi6uVYqSfFp7KOq7plVGqO0uidwM6ISHPgXghx37eWtBg3cBNki0fEaScCedlVVUKgR3dnNB0U6ufHk+N/4v0CcQif99Wxxxfw/XSmRnSSn3TF8e87mVusPJds2rcBTt8G7aFIwqhoaLKockcXin5v5tt93fbf5xmvZUJy69VxurDdgjPwnsc+wui/Hy1+sCVgmnDmqPUj+Ilqfy6IfV7xaoNAxUOSQJ92rhoCt5zO0Ldhr17PPwC0QVLKSYAAAgAElEQVTD6dzWMjfQOek2N/z1w1Uc3rFSSe05UMYZQzpw4cjOKPWbHftrFtaq1H/U55Ak3JEjq7fup01Tq5pmhTGc2K8tHy7b4t+/cU/02vyTHv2cba4QQ6dkc06QT8FdXgGsMs9O74abJ/WjX/tmVfwkSqrSMz+X1dvCm4+e/mwNvzy2R7XO7faTKfUTXTkkiemLNvm3s13hqz5jqlTXyGHpph8DSm44K5NgR3aXloGOY3dkkiqG+sXs68dG3H/39PAlVKJV2tW6TfUfVQ5Jwgk3BVhnOwf3HizjYJnPs2HOnMLtVTq/U+co0xW+eNXYnnQOUg5b91qrkg+vO65K51fqBneeMaBax7kfWLz4q/os6j2qHJKEe0XuWJicct1T54dGHP3smW9CZJFw2kQ2a1RpOZy5eDPdg/ImHCV1mO3AVuoXFx/Vjc9vGFfl48IlTd55ppWONKxL9GZQSigbdh9gxea9yZ5GTKhySBJux/Mzn1tF8HbZTsJyn+Hy0d1CjinaHlv4IcCkw63Io8auaqxrtu/n2N75vDp5VDVmrNRVgleLN03sG/WY4CT5P07qx8PnD+a4XlbBy1vfXhK3+TUU7pm+jNH3fcTJf/0s2VOJCVUOScL9pL7cfpI4ZC8hstLTOGdYp5BjHv+4MKZzj+nVmquO6wkEluOYdLgV+z5Km/I0WK48rie/HGM5oTvmhS93EtxN8JfH9uDsYZ3IydJbRnV56rPwlZBTEf1LJ4nmjTIZfVjgTdppyJOdmRbgK3Do36EZM5dspsdN09i5v5RnPl/D7e8sCens9vmq7f58hpyMSsficb3rd5lzJTpnD+tIWpowplfrkBpMbtxWpdMGd/Bvu/uCKNVn1Za9dJsyje9+2JXsqYRFlUOSKKvwhSiAL1ZZTud+7ZvRIc8Kbb30qK7+/T/sLOHhD1biM3DeP7/krmnLeOHLooilENxJb/OKUvcfUUkst5zSj1a5Wf7kyIw0idhQymcMk4/twd8uHMr95xzul2u/8PjwnF3E8Kx/fJnciURAlUOSKC33kZWexrg++eQ1zmR3SSmr7Izoe88+nKY5mXx360ncemp//zFNczJZs90a445f9yqe54XbVLDirgbbprtB8osxPZh/60n+3ITPV21nw+4DAPxvfjHnPhF4kzLG6gNy2uAOAX6rNI9IOqXquBNfoxVBTBaqHGqJVVv28p9vfmBh8W7A8jOs3LKXrq1y2V1SFrCM75lvPd21yM0iw7W6KC330So31BSwcc+BmBruuM1K2RnpXDPuMABeuPyIan0mpe7Sq62VQX+wrILrX/+egnW7KNxq+b4Kt+7DZwyqBxLHm64qtz/sSM2cEVUOtcRJj3zGzW8u4vS/z6HcdjwX7SjhhS+LANgZoZzBG78+GoAF63ex+cfQbOnScl/A0104xvQK9DlcP7433982nrF92oQ5Qqmv5DWyEi0LXKbGEx/+jNfmrefEhz+l3GfCNn0a10d9V9UhOIzcYWHxnlqeSWyockgCSzZahfR6t23C0T0tp3Sk9ovDuli9oL9es9MzQa5ox/6Ap7zrTurteR6nbaiDiNC8UdWzsZW6z3kjrGi4tUHVWW9wVQAOVx6jd7umnqXelciUVfg4qX/bEHn75jlJmE109C9cBYwxIZFB1cHpD92lZS6/GGN1UYvVb3Biv9Cn/D+9vSSge1vwE4qjODLUTqDYtMi1CjDe6moIFEy4f5c0EQ6V+1LWVp6qFO86QNPs0BX+d+t3J2E20VHlUAW63zSdy56fR+HWfTVSEo4z6oIjOtO8kfUl/euHKwG4PsxT/4n92tK6SRYzl2zx3L/lx8qVh9vZBfDIT4bQMa8R2RkaaaJYHCqL3oI2nFnJ6T9dvOtAXOdUn9l/yHr48+qo95eZK2p7OjGhyqGKfLpyGyc+/Clfrd5R7XM4q4T0dPEX2XNMTdNcBfncfLhsC9ujtO8c378tF47swskDAxu9nDGkI3OmHO9pklIaJrGUSwn373KUbQoNfghRwnOovFIZOz6bn4+2rAbdUrSLoiqHalKTwmOvFVh9GtJFyGsc2M5xV0n16+y3aZbNvWcfHlKWW1GCiUU5hPM5OLkOzgpCiY7Tee9nR3bh4xXbAMizHwyLNFqpbhNsRppbtDPmL8f6oPLGzhNXRlqoQ/j207yraLbKDe0JHEw4M4CixBOn/0ddKweRLLbuPcjZdrLbgA6VzbVSvQCfKocY8SpSWbBuZ9Tj3l6wgTEPfAxYPgaorKWUniYhpp42zbxLGjQNk8fg7v2gykGpLn3svAc35RXefrWhdkXWD5ZuqVIxyIaK27+Tnlb5Xc5MT+3vqyqHGPFyQJeHKWvsZoErEiE3KFLhgIfNNtwX8s1fj/Zvd23VmJsn9WXBn07i8xuP98tVNyjVZepVR4XIgkOfHbq2qoyGu+O9pQmbU13mUHmFPzzdnVVeVmG4eVI/ALJc4cDuzpCpgiqHGCgpLfeMElqyIXrySoVLgQQrh00e7T9Lwjj5WrjMSut2lDD52J7kNc6iSXYGF43qAujKQakafwoqzRKM24nqxr1a/Wj5VnrcNC3+k6vj3P7OEkbc9SGl5b6A3hh7DpTRzs5r6N++GW1tS4ETzZRKxKQcRKRIRBaJyAIRKbBlt4vIBlu2QEQmucbfJCKFIrJCRE52ySfYskIRmeKSdxeRb0RklYj8V0SiG9hriQ27D9D/TzO5+j/fhux78IOVYY/73/xivl+/O8DhnBX0JOZVljtSQsyEAe085Zv3WE8on6/aFvZYRQmmg12y2zETPX9ZYBmVcIluwcX3YlhANzhemWsFnTw0a0VATbPNew5yXK98nrp4OOcf0ZlrT7RC1w/GEFpc21Rl5TDOGDPEGDPCJXvElg0xxkwHEJH+wAXAAGAC8A8RSReRdOBxYCLQH7jQHgtwv32uXsAu4Iqafaz4ccUL86p13PWvf88Zj88JqHwZXLQsK+jLN+PaMfRtF76P899/OhQIfOIDK8wVYOWWfdWaq9IwcXp9ODf3sX3yueWUfnx+wzhuntSXK47p7nmcVxTTI7PCPyg1ZJ78dA2Pzq6MbDQY0tKE8QPa0Tgrw6+A9x4MX1k5WSTCrHQG8Kox5pAxZi1QCIy0fwqNMWuMMaXAq8AZYv2nHQ9MtY9/ETgzAfOqFsujRBRs3B2aCOT2T7wy9wf/dkaaMPXKUNuu8yVt3zx88xWAjPQ0iu47hZ8HfWk72KuNLi1TM15aSU2cIo5ltvlIRPjFmB50btmYycf2JKcK5bndN0AlkDe+rUx8C3b8O/eP9xdvZvGGPazckjoRTLEqBwN8ICLzRWSyS36NiCwUkedEpIUt6wisd40ptmXh5K2A3caY8iB5CCIyWUQKRKRg27bUMKGUlIbaCr8MkyCXJsKIbi1D5GcNtcxLWR4NfmLhhglW28cXfz6yWscrDZPWTS2Tp1dJFiX+XDPuMC4a1TVANtFu59u1VWNO/dsXjH8kdVqIxno3Gm2MGYZlErpaRI4FngB6AkOATcBD9lgvr6iphjxUaMxTxpgRxpgR+fnJqwz5wuVH8OTFwwEo3Boayheuwmq4DOU7zxjAvD+eSKOs6pW3OHNoRxbdPj5s1UdF8aJ980bMuHYMVx9/WLKn0iDo3a5piEmuiR2k8vTnseWMfLl6O3siNPeKJzEpB2PMRvv3VuBNYKQxZosxpsIY4wOexjIbgfXk39l1eCdgYwT5diBPRDKC5CnJ2UM7MrZPG3+Y2pUvzw8Z06Kxtz89XOG7jPS0iC0bY8Er2kRRotG3XTOtuZUAcj0e9PYcCL2p5zexvveLN/wYIP/zu0voNiUwCmzfoXJ++vQ33PZO+GKJ8SSqchCRXBFp6mwD44HFItLeNewswJnxO8AFIpItIt2BXsBcYB7Qy45MysJyWr9jLAP9x8C59vGXAm/X/KMlhj7tLJvhucNDI40cdoYpgaFdtJT6gjucVQnl+H6hpbmHds4LkXndE+YV7eR5u42o23/pVFaYtdS7+Ga8iWXl0Bb4QkS+x7rJTzPGzAAesMNbFwLjgN8DGGOWAK8BS4EZwNX2CqMcuAaYCSwDXrPHAtwIXCcihVg+iGfj9gnDsGLzXm59a3HUJdrIIB/BeSOsxU+4p61HZq3kt69857kv3V5SfjnleGZff1xVp6woKcOnN4xjQIfKyLo2NVz5erGnpIw/vP49P0aI5Ckt9/HEJ6tTrny4V97CwI7NPUaGct4/v/Jvv/xNZUCLkyi3v5ZqWkVtH2aMWQMM9pBfHOGYu4G7PeTTgelh3qNWvamn/f0LSst9bNx9gGcvC98m02cMow9rxZxCy8nszhqdOLAds5dvBWBh8W76tmsWMWrD8Tk48eWKUldplpPJtN+OobzCx9H3feTvURJPjrjHSiLr36EZl4/2Dqv9b8F67p+xnLIKH789oVfc51BdPrLvCw63nNIv7NirxvbkiU9We+679a3FXGw7sUtdSYk+n0m4JaJBZkjvO1Tuv9Czg/6IwRSs2xWQP+BODDpQVkFORhrrd5Zw+t/n8Od3l3idwo+WzFbqGxnpaf7EzXg0wnLjfEebeDTIAesGecg2tWzakxq9JcKVwYjUxnfiQO/k1mCmzi/2b4fLXo8n0RsP10Pmr9sVfZALdyKb25yUnZHGjwfL/eeLdl53Qx5FqS+cPLAd3xfvoaS0IqRETDwI18fk/pnLefJTK8pn2abk5wdU+Ay9/vg+J3r4G4ITXt2EU34O63bsp33zRvzto0K/rLqRjVWhQa4cYu1/u8OOSOrX3jtr2am3dO1/FwBETWCJZDtVlLrKJ3Z/gulhGlXVlPQ0a5WwKuj79aYruay6OULxxElo+3DZFgZ1au5v6gOwYH34B8fgni7BHPeXT+h9y/v+1w+cM6iGM42N5F/RJBBJi7sZfteHACzb9CNzphzP3JtPCNj/q+N6BLx2yhAM7NgswOF8vt3MPRWLaylKTXFK0beOo1PaXbDynunLmfTY55z0yGcB9cPcGdzLNgeGgiaDUpdJaWHxHjJcCuv4vuETDasa+dW/Q/gSO/GkQSqH6thGO+Y1ok2zwKJ47Zp5F8lbvOFHurXK5adHduH9343hJ0dYVVMPjzFaQVHqEr3tkhCvF6yPMjJ2yn2BNnWnjM3Fz871r+jdBQAdW//6nSUs2Ri9WrIXxpga+U1OeOjTgNcZacLyOyfw9CUjGNcnvHII13EvHJm1tEpqkMrB6ZnQuom1nKuIUlbyRrs8RTBHdm8V9pj0NOGesw6nX/tmDO/agjlTjo+YG6EodRXHTDt90ea4nTNSl0VnRZ/jsrsfYYecj3ngY0557Isqv9/Bsgq63zSdx2YXRh8cI2lpQk5mOif1b1tlBRCJ2gpsaZDKwVEGjqPr/cXettIBHZqR1ziTq8b29Nzfv0OzmE1UHfMaxfUfRFFShdZN4p/j8OKX66KOaexaOeyrocl270Hr+Ec+jF912Yowjbu8uPK40HtM33ah3fksaqdGeoNUDk4HtzG9WgOQGybMbMnGH9l3MPI/ndcf8OKg4lqKUp9xGlGdcnj7KCNj56MVkUPMweq14rC8htFKvjiH4QLMWBL7SuqGk/uw+M/+1jdkpafx8PlDPMfG0oEyHjRI5eCsHMbbzXMuf2GePzXdwbE9RvtDeLX1vPPMgfGYpqLUKaYt2sQPO0ricq6je1om2wtHdgk7psRlemoS1GN9y4+hXRbDMXPJZna7KiU8+mHtlx9PSxOaZGfw9tWj6dE6l7l/PCGs4zlSz5e4zqlW3iXFcKIKmrrii51CegAfLt1CUYz/5Es3BUZJ3DChTxxmqCh1kwmP1rzk9DdrdvgrDE+IkCB2eMfKm+ShoIe7vVFW/A6FW/fxq3/NDyigWV3TUl7jzBoX0BzcOY+P/m9s2PDWj2qx7E6DVA5Oqn+rJpV/AHeC2i9eKmDcg58AcFibJlU6t/ZxVhoijkmppBp1f0rLff4coE17DvCTp77mhqkLAe/qpr3s7+THKyrDWg+UVQTkEcWaU+RYCNZuDyy9v62K5UAOlVewu6QsINv5/d+NqdI5vOjgaht86qD29Miv2v2oJjRI5eA0/HZ3Xrth6vdAaJhruN4M4Xj8o/hFOyhKXWFaDRLgLn9hLoNu/wCAh4P6sre0/Rl5jTNZeddEAFZt3Ue5K6egZ34uZRWGGYsrbfwbdsVWTiNcQMmZj8+J/QMA171m3T9ec4XzhkuerQpjelUm0h3ZPbRRWCJpcOUzHp61ksfs4njutPXV2/b797uJtg44e1jHgDaAezXRTVGqhFPUEgLNuwAZaVZr3GDcBS6t/in7KXI9/b9WsJ7TBneI+t7LNnknz23waP8biWkLLeV4sMzH61ceFVAkryZcf3JvSsoq+PnobgzqFFryO5E0uJXDY65/qkxXhVUnVvtvQU/+vduGCyezuH58H/q2a8qMa60l5Mxrj43XVBWlzvBSHFrUHiqvCDAVAaQF3aF65lu+iIXFVqLbyG4t2bLXcj67K6F+vmp7TO955cvfVne6AfxyTGXV2CO6tWT0Ya3jct42TXP424VDGdqlRa0X7mxwysFNZkYaBbecCFhVDr2yI6NFHnXMa8SMa4+lb7tmFN13ir8ZkKI0JI7tXWn+CFeZNBpeYeNBidIcLLMEn660lMjcop3ceYb1HR3VozIptUd+9Vrm/uuK6im5pz9fC0DbZvHP+UgWDVo5ZKWnBSTwnPb30MzKaBUTFUUJZHc1exx79YQIzj/wqlHkBI24ndAjurYIGPNawXpmxpB3cHTPyif+4PD2WHjoPO/chLpIg1MO7V3ef6ens7NUDe7jCoGmJ0VRorN5T+w5Bm6+Wr2DUwYFJtJ1ax24Arj99AEBr3vm59I02ypc96OrR3Nw1NQNUxfyq3/Nj1g7afpvx5CeJlwz7jCgasEoF42y8jFG1rLTOJE0OOWwyfWP61RNPKJb+D9o80baK1dRYuGfFw0D4PGPC7nutQVVPv6O95ZGDQUPtrtPmdiP3Gwr3NW9YgnXme72dwIbcrlv5h1bWNGLjkI6+r6PYpy55Rvwml9dpsEpBy+8UueL7juFovtOCSi7qyhKeJyqxTOWbA6I4KsKB0qrFu2XmS7+72iBq9mWuzf8aX+rNBe/+FVgzaa2zXJolpPBoxcM8T8IbvboKvftD7siFuh09tUj3dDwlMOQzqHhYLVUqkRR6jWNq9CdbPOeg5SUlofY9T9ctpVOLSL3WHc7v71WGs1yMnCLF20ILOHtLvHhM4b8ptmcMaSjX+Y4vR2+XrODs//xJf/42DuHaf3OEn9obX0qrtnglEMrO6nm9tP6+2XBf85U6CqlKHUNd3+FaIy6dzbnP/kVRTv2h+wrjpLAluNKXPO6F+c3zWaF3TXu7QWhK5gLn/7av22MCVEwwcrp2lctE9lDs1by0fItIecb88DHEedbV2lwd8Eyn2Fw5zwuG10Zl3zZ6G4B1VUfOn9wMqamKHWa4Mi+aNE+izf8yP5D4ceECwt190/ecyA0MmpXSRmZdoLE714N9X24E9x8vtDVx/kjOrv2m4D3u3f68rDzrW80OOVQXuEjKygCaUCH5sxwJa/FklmpKEogwcEbsRS/CxcRtOBPJ/HR9WM997nzIbxa7/50ZBfKfN55S26MMVQYE7L6SEsTf4OvQ+U+zhpaaXJatXVfyHnG928b8X3qKjEpBxEpEpFFIrJARApsWUsRmSUiq+zfLWy5iMhjIlIoIgtFZJjrPJfa41eJyKUu+XD7/IX2sQkz3JVV+MgITrt0UZWlsaIolQQHb8TSM31OYWgm84PnDSavcRa5YXKM3BFBOUHf14fPH0zj7HSMsW7skRj05w+YtXSLZ4RRo0zrs+wqKQ0pqRNMh7zIPpK6SlVWDuOMMUOMMSPs11OA2caYXsBs+zXARKCX/TMZeAIsZQLcBhwJjARucxSKPWay67gJ1f5EUSirMGSEyV0ouu8Ult2ZsLdWlHrPqrsncssp/QDYGEN9ohe+LALgw+sqV+7Rngw/WFpp9z/Z7sny/u/G8J9fHsnZwzoh9hk2BeVbnDW0I91b53Jivzb4fMa/svFyajtKJ5Zw1pr0nU5lamJWOgN40d5+ETjTJX/JWHwN5IlIe+BkYJYxZqcxZhcwC5hg72tmjPnKWFf5Jde54k5ZhU8dzoqSIDLT0/xNam5/d4nnGK+WnlnplSuA1lF6IjgdHKHyJt6vfTN/drPjUF6ysTJK6W8XDuXOMweS3ySbj5ZvpcfN0/37gqOZIHq+wgtz1jLuwU/8pimA2bXYa6E2iPUuaYAPRGS+iEy2ZW2NMZsA7N9OXntHYL3r2GJbFkle7CFPCOURVg6KosSPlVtC7fMAJR65DNmZlbeiaLkOz1w6IuJ+J5ntE1cRv9MGd6BJdgZzi3bGFLretVX42kyvzP2B299dytrt+1m9bR8+A62bZNGzFnst1AaxFg4abYzZKCJtgFkiEsll73XnNdWQh57YUkyTAbp0Cd8+MBIDOjajU4vG1TpWUZTodGge2QbvlUyWHaavghfZGZH9gk7UlJfPYViXPL79YXfU94i0crjpjUX+7ZLSCs9w2PpATH8RY8xG+/dW4E0sn8EW2ySE/dupl1sMdHYd3gnYGEXeyUPuNY+njDEjjDEj8vPzvYZE5eHzh3DdSb2rdayiKNEJrocUjJdyaJKdwYUjrdtDtJs/WIlugz0SWsHp71DpEB/Vo7JExuEdm4eM/8u5g0JkwbkO4dp/GuMdDlsfiKocRCRXRJo628B4YDHwDuBEHF0KvG1vvwNcYkctjQL22GanmcB4EWlhO6LHAzPtfXtFZJQdpXSJ61yKotRhvBRBsOzesw8nIz2NW07pz62n9ue43tEf/BbefjJvXz3ac5+Tl7C7xAqTve20ymJ9TlMvN+eN6Bwic+dsnDa4A5PC9LIuq/BRYUy9KpvhEItZqS3wph1dmgH8xxgzQ0TmAa+JyBXAD8B59vjpwCSgECgBLgcwxuwUkTuBefa4O4wxO+3tq4AXgEbA+/aPoih1nJLScprmBOY/lNvK4Y+T+nHq4Pb+dr252RlccUz3kHNUFSccfeNuK1rJbbJqkZsVMPb3J3pbEdylQB44ZxAGQ/8Ozbjxf4sCxu0uKcNnDGn1UDtEVQ7GmDVASMqwMWYHcIKH3ABXhznXc8BzHvICIHJXHUVR6hwHSisClIPPZ3h17g+AlR/QPop/ojo4/oLNP9rKwZUL0dGVk3D56G789oTDPM/hpFpdNKqLfyVyXO/QXhI7S0oxpoGalRRFUaqK00FxV1Djn2mLNvm7ptVWeet0143brQwuOapbxEJ5a++dxF1nHu5/7eV3WLbpR2vlUP90gyoHRVHiTxO7x8L+oLDUA656Sxm1dEdt47qpN87K8CfpRevVEqw40tOEz/4wLkC2afdBKnz1M1pJe2AqihJ3nHDWg0Ed2ba5mvCkJzDf6IpjuvPsF9YKJdgfcMUx3TlnWKcQ/0MstGoSeMyMJZtp3ijTswBgXUdXDoqixB3HTh/crvMvM1f4txO5cnAUgxciUi3FAKG1nMC7Mmx9QJWDoihxx4kY+sVLBWHH1MWWmnVxztVFlYOiKHGnSU50i3V6Au30kw73zktIFD3yIyf+1UVUOSiKEnecLOVIHIxSUrsmXBsmfyEePHDOIF6/8ij+cHIfv2yNR3JdXUcd0oqixJ1YaiWVxNDvobr0btuU1k2yOXVQ+7if+/wjrIzqsgQqt1RAlYOiKHFHRDipf1tm2b0XLnt+LqN6tPLvH9cnn6MPax3u8LhQcMuJCT2/u31ofSvXDaocFEVJEI5i2H+onE9WbAsoof385SOTNa244S4QWN/KdYP6HBRFSTADbpsZ8PrCkdUrt59q5DWOnERX11HloChKQugZJoLnFbu2Ul0nN6t+G15UOSiKkhBumtjPUz64U2hPhbpITlb9vn3W70+nKErSGNPb2+Hs1UO6LlLfe9HX70+nKErSCNfR7d6zQzuv1UWcwnxHuaKw6hP122imKErK0a11/enhXnTfKcmeQsLQlYOiKAnDcUo7/R0AmuXU7yif+oIqB0VREobTn/nUwyszlWPJnlaSj5qVFEVJGL86tgeXHd2NnMx03rlmNPPX7YrYfU1JHVQ5KIqSMETE3wNhUKc8BnXKS/KMlFjR9Z2iKIoSgioHRVEUJQRVDoqiKEoIqhwURVGUEGJWDiKSLiLfich79usXRGStiCywf4bYchGRx0SkUEQWisgw1zkuFZFV9s+lLvlwEVlkH/OYaDiDoihKUqnKyuF3wLIg2R+MMUPsnwW2bCLQy/6ZDDwBICItgduAI4GRwG0i0sI+5gl7rHPchGp8FkVRFCVOxKQcRKQTcArwTAzDzwBeMhZfA3ki0h44GZhljNlpjNkFzAIm2PuaGWO+MsYY4CXgzOp8GEVRFCU+xLpy+CtwAxDcNPVu23T0iIhk27KOwHrXmGJbFkle7CFXFEVRkkTUJDgRORXYaoyZLyJjXbtuAjYDWcBTwI3AHYCXv8BUQ+41l8lY5ieAfSKyItr8w9Aa2F7NY2uLVJ9jqs8PUn+OqT4/SP05pvr8IPXm2DWWQbFkSI8GTheRSUAO0ExEXjbGXGTvPyQizwP/Z78uBjq7ju8EbLTlY4Pkn9jyTh7jQzDGPIWliGqEiBQYY0bU9DyJJNXnmOrzg9SfY6rPD1J/jqk+P6gbc/QiqlnJGHOTMaaTMaYbcAHwkTHmIttXgB1ZdCaw2D7kHeASO2ppFLDHGLMJmAmMF5EWtiN6PDDT3rdXREbZ57oEeDvOn1NRFEWpAjWprfRvEcnHMgstAK605dOBSUAhUAJcDmCM2SkidwLz7HF3GGN22ttXAS8AjYD37R9FURQlSVRJORhjPsEyBWGMOT7MGANcHWbfc8BzHvICYGDoEQmjxqapWrUfURMAAAUkSURBVCDV55jq84PUn2Oqzw9Sf46pPj+oG3MMQax7uaIoiqJUouUzFEVRlBAalHIQkQkissIu0zGllt+7s4h8LCLLRGSJiPzOlrcUkVl2SZFZTtZ4dcqQxGmewWVSuovIN/Z7/VdEsmx5tv260N7fzXWOm2z5ChE5Oc7zyxORqSKy3L6WR6XSNRSR39t/38Ui8oqI5CT7GorIcyKyVUQWu2Rxu2YSh/I3Yeb4F/vvvFBE3hSRPNc+z+sT7jse7m9Qk/m59v2fiBgRaW2/Tso1jDvGmAbxA6QDq4EeWLkZ3wP9a/H92wPD7O2mwEqgP/AAMMWWTwHut7cnYTnmBRgFfGPLWwJr7N8t7O0WcZzndcB/gPfs168BF9jb/wSusrd/DfzT3r4A+K+93d++ttlAd/uap8dxfi8Cv7C3s4C8VLmGWMmba4FGrmt3WbKvIXAsMAxY7JLF7ZoBc4Gj7GPeBybGaY7jgQx7+37XHD2vDxG+4+H+BjWZny3vjBWJuQ5oncxrGO+fpL55rX5Q68LPdL2+CbgpifN5GzgJWAG0t2XtgRX29pPAha7xK+z9FwJPuuQB42o4p07AbOB44D37H3W76wvqv4b2F+IoezvDHifB19U9Lg7za4Z185UgeUpcQyqrALS0r8l7WGVjkn4NgW4E3njjcs3sfctd8oBxNZlj0L6zgH/b257XhzDf8Uj/xzWdHzAVGAwUUakcknYN4/nTkMxK4cp31Dq2+WAo8A3Q1li5Hti/29jDqlqGJB4El0lpBew2xpR7vJd/Hvb+Pfb4RM6vB7ANeF4s09czIpJLilxDY8wG4EHgB2AT1jWZT2pdQ4d4XbPaKn/zcypD3Ks6x0j/x9VGRE4HNhhjvg/alarXsEo0JOUQc5mOhE5CpAnwP+BaY8yPkYZ6yKpUbqSK8/KXSYlhDpH2JfI6Z2At7Z8wxgwF9mOZRMJR29ewBVbhye5AByAXq0pxuPdKxjWMRsLK31R7QiJ/BMqBfzuiKs4l7nMUkcbAH4E/ee2u4jxS4t4UTENSDuHKetQaIpKJpRj+bYx5wxZvkcps8/bAVlseqQxJIj6HUyalCHgVy7T0V6yquk4+jPu9/POw9zcHdiZwfs57FhtjvrFfT8VSFqlyDU8E1hpjthljyoA3gKNJrWvoEK9rFnP5m+pgO21PBX5mbJtLNea4nfB/g+rSE+sh4Hv7O9MJ+FZE2lVjfgm9htUm2Xat2vrBeupcg/UHdZxVA2rx/QWrHPlfg+R/IdAx+IC9fQqBTq25trwllt29hf2zFmgZ57mOpdIh/TqBjrxf29tXE+hMfc3eHkCgs3AN8XVIfw70sbdvt69fSlxDrF4lS4DG9nu+CPwmFa4hoT6HuF0zrKoHo6h0pk6K0xwnAEuB/KBxnteHCN/xcH+DmswvaF8RlT6HpF3DeP4k9c1r/cNaUQQrsSIa/ljL730M1lJxIVa5kQX2fFphOYFX2b+dfxYBHrfnuggY4TrXz7HKkxQClydgrmOpVA49sCIpCu0vWLYtz7FfF9r7e7iO/6M97xXEOeoCGAIU2NfxLftLljLXEPgzsByr1ti/7BtYUq8h8AqWD6QM6yn1inheM2CE/XlXA38nKGCgBnMsxLLRO9+Xf0a7PoT5jof7G9RkfkH7i6hUDkm5hvH+0QxpRVEUJYSG5HNQFEVRYkSVg6IoihKCKgdFURQlBFUOiqIoSgiqHBRFUZQQVDkoiqIoIahyUBRFUUJQ5aAoiqKE8P/0Xh1tOkU2/gAAAABJRU5ErkJggg==\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(df.funds.diff()/df.funds).hist()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "rdf = df[df.substep == 3].copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['token_wts'] = (rdf.tokens/rdf.supply)\n", + "rdf['wt_mean_price'] = (rdf.token_wts*rdf.prices).apply(sum)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['holding_wts'] = (rdf.holdings/rdf.holdings.apply(sum))\n", + "rdf['h_wt_mean_price'] = (rdf.holding_wts*rdf.prices).apply(sum)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['wealth'] = rdf.holdings + rdf.spot_price*rdf.tokens" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['wealth_wts'] = rdf.wealth/rdf.wealth.apply(sum)\n", + "rdf['w_wt_mean_price'] = (rdf.wealth_wts*rdf.prices).apply(sum)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.prices.apply(np.min).plot()\n", + "rdf.prices.apply(np.median).plot()\n", + "rdf.prices.apply(np.mean).plot()\n", + "rdf.wt_mean_price.plot()\n", + "rdf.h_wt_mean_price.plot()\n", + "rdf.w_wt_mean_price.plot()\n", + "rdf.prices.apply(np.max).plot()\n", + "rdf.spot_price.plot()\n", + "plt.legend(['min', 'median','mean','tok wt mean','hold wt mean','wealth wt mean','max', 'spot'])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ytZ3/PDU/lXaL29m189BIGi5FC8CYzMWn+a+617UY/1EtR/G/vv8rts1dje+ybntrvckz5BGfHg/A/mv7XbpOVWf69OmcPXuW9u3b8+KLLyKKIi+++CJt27YlMjKSZcuWOZyzZ88eOnTowLlz5+z233XXXRw+fBiADh068Pbbkttx5syZfP3110yfPp0tW7bQvn17/u///s/u3E2bNtG7d29GjRpFixYtmD59Oj/++CMxMTFERkZy9uxZAJKTkxkxYgTR0dFER0ezbds2AHbv3k23bt3o0KED3bp149QpSWtp4cKFDB8+nEGDBtG8eXNeeuml8v0BliOK4Npthm1IZVn1ao5MOkK2PptuP5V/UlZZsJVvtnA09ShHU6V4+6FNhpKpy+S1bY5x+dn6bExmEybR3sjnGp371ZcOWUqAu+vicSVFE+29tpf7W0g5jV5aL7Zf3s6wplLZxYrw73+w+wNOpp0s1z5bBbbi5ZiXnR5///33OXr0KAcPSoqiK1as4ODBgxw6dIiUlBSio6Pp1auXtf327dt5+umnWblypUNEX69evdiyZQvh4eFoNBqrQd66dSvjx4+nWbNmzJkzhz///BM5Dh06xIkTJwgMDKRJkyY88sgj7N69m//97398+umnzJ07l2eeeYZnn32WHj16cPHiRQYOHMiJEydo1aoVmzdvRqPRsGHDBl599VVWrJCK/xw8eJADBw7g7u5Oy5Ytefrpp2nQQP7ttDJRwgRuM2xn+luStpS5Hx+tT3kMp9yY129escd7LO3BtqRtssdOpZ9yyC/I1Ts3thHBEU4rgjnDYtTlsK0p4K52xySa+O9uqaD8kZQjDFoxiGu510p1varO1q1bGTNmDGq1mtq1a9O7d2/27JF0m06cOMGUKVP4448/ZEO4e/bsyebNm9m6dStDhgwhJyeHvLw8EhISHNQ55YiOjiYsLAx3d3eaNm3KgAEDAKzyzgAbNmzgqaeeon379gwbNoysrCyys7PJzMxk5MiRtG3blmeffZZjxwo92f369cPf3x8PDw/atGnDhQuVLwIohzLTv804k3HG7rPBbECrKn4maiEqOAofN8nYC4LA6JajuaPhHeU+xrJgkW3w1no7zI4tfntbYsNirVnFo/8cza/DfgWge93ubLu8jWxDNqFeodZCLRYs6wpqlbpU43uj6xv0b9ifn0/9zMZLG+2O2cblF11bOJcpuTb+OPcHj0Q+UqprOqO4GfmtorgAgLCwMAoKCjhw4AB169Z1OB4dHc3evXtp0qQJd955JykpKSxYsIBOnTq5dO2S5J0BzGYzO3bswNPT0+7cp59+mr59+/Lbb7+RkJBAnz59ZPutyhLPyky/mnEkWZr5ZeuzS24sQ2KOvYJjniGPPEOerDZ+UQxmg53i5YzYGRWiu1MWVIKKH+76gb+HO0Ykyb3RzIydaffZsiAd5iNlyGbrs2VzDu5sdKd1O9wvvFRj7F6vOx/1+chh/6NRhTpGzhRFq7sej6+vL9nZhX+zvXr1YtmyZZhMJpKTk9m8eTMxMVIiXq1atfjrr7949dVX2bRpk0Nfbm5uNGjQgJ9//pnY2Fh69uzJnDlz6Nmzp+y1ysKAAQP47LNCqTCLWyozM5N69eoBkh+/OqIY/WrGvEPzSMpJko2kKYm4i3EO+7L12XRZ0oVXtrxS4vnx6fGohdLNcG8l7ULauVyopa6P/QxyyQkp2sNDLS3sPhv3LJeyL3Fnozt5JabwZzOtwzTr9qLBi3goQr7KlzPkjLq3plAm2FKEpii2xVmqI0FBQXTv3p22bdvy4osvct999xEVFUW7du244447mD17NnXq1LG2r127Nn/88QdTp05l165dDv317NmT2rVr4+XlRc+ePUlMTLQa/aioKDQaDe3atXNYyHWVTz75hL179xIVFUWbNm348ktJT+mll17ilVdeoXv37tVW01+RVq5mDF81nPj0eJ7t9CyT204u1bnzD83ns4P2Qqef9/ucJ/+R3B/3t7if17q8JmuYtiVt4/ENjwO3RsL4ZihOthjgn5H/EOoVyge7P+CHEz/YHXsw4kEWHltot29GlxnWil1y373zD53RmXTsHLsTs2gu0d9vGZ9G0GAUjawevtrqNnp357ssO+UYyQJwcMLBUruVLCjSyjWLCpdWVigdBrOBN7e/WaxsQVmxhPLZiny5isUfD4ULsRaDD7D89HLZRKeU/BSrwa8JWGrqyimCRgQ5RBvj7+5fbH9rRqzh56E/4631LtUC74zYGdTxrmNX47c4GYviIooUFFxFMfoVwK4ru1gRv4K3dzrKFlQGoihiMBusBmnp0KUsGLBAtq2cb99WRrkmIacImm1w9AUPajyo2H6CPYNpHeT6LNqiFdSrfi/W37/eztA/3s75wzXPkOfyNRQUnKEY/QrAYjiL+r+PpR7j4PWD5XYdOZljOd7b9R4dv+9o1Y8P9gh2Wq92XcI66/+WIiG3qhRheSG3uPx5P8dsUDlXSdEFcsvDcdW9q9gyuuwhrrYsGryI7wZ+R4iXo7igr5sv8/vPZ1qHacy/c77dMUWTR6E8UEI2KwCL0S9a/OOBPyXZ4Zvxifeu35t/E6V6NBsvbaR1UGtEUURn0lmzS4uy9NRSu8/uanenQmlLTy21az+kyRA+P3hr0ufLi7l95zoUbdeoNMSNclzI7tewn1VjBxyNvmWRtbF/43Ibn6fGk851nLteu9XrRrd63ayuPAvnMs9Rz6ee09+zgoIrKDP9CsBq9F0o6F1abI21RaP9l9O/EP1jtFOBrqJvHH7ufnb+/eLYfnl7GUdaeXhqPHks6jG7mbJGpSHYM5hgz2C7tpbiLxZi6sTYvRVEhhS/KFyR+Ln52X1+btNzdP+p+033m5id6PBAUbh9UIx+BWBRo7QNvyuvKClbn7vlAbD6/GpA3g1TYCxwkBhQCSq7zNzi2HRpk1USAGBO75LL/VUFnurwFN3qdrNq1BtMjlWvQJrB7x+/n4igCD7s9SFd63alZ30p9M92gbUyCPIMctinN+tlWpaOTF2mXYlHhdsLxehXAJbIGlvFRdtt24LapcUkmmgTJJUoLiqFIFdbNSU/pcQ+j0w6wsaRG3mqvaMe3k8nf8JgMqARNDwU8ZBdclJ1oF2IJLBWXN1ZrVrL0qFL7RZslw5dyrKh8qGTt4qKeFOsLBISEmjb1vXi8AAPPvggy5cvd9hfVvllRX1TQjH6FYDltdzWlXAo+ZB125IIVFr+ufAP2y9vtyYQLTiyAJ1JZy3/N/WfqWy6tMlODbOoMqZtBaoVw1bwSd9PAAjxCiGtIE32ugazgXD/cJ7r/Fy1q+rUqbaUmh/sFVxCS3sigiIcXEGVwXs93mPlPStdamswG0p8o6xqeTm3EsXoS1SvO7ia0K+hVA7Y9vXc1lVwOOVwqfpLyknCaDbyn03/AQr1WEB6EBxOLuzv6Y1P8+5OKZFoe9J2hvw2xK6vsa3HWrdbBLSgb8O+1s9RIVGy19eb9S7r81Q1JraZyIphK6wz/urG3U3vpkmtJnb7zKIZg9lglwey5+oeOn7f0a4urxxZ+qwKGacrmEwmHn30USIiIhgwYAD5+dLb18GDB4mNjSUqKor77ruP9PR0h3PXrFlDq1at6NGjB7/++qts/5Upubx9x3a6du1aLSSXa877YxXCsvhpO8sua7hdan4qg1YMYmyrQmNtW/zk1zOON8Avp3/h9a6v88WhLxyOOSvnB5Ku+/QtjoXNNidulo1prw4IgkCLgBaVPYxy5YfjP3A+6zzLTy9ny+gt1PKoZQ3fLUlDySyaEf73HcSf54JN2K4ZEVEUUZfxTc69dSvqvPpqsW3i4+P56aefWLBgAaNGjWLFihWMHz+eiRMn8umnn9K7d29ef/113nrrLebOnWs9r6CggEcffZSNGzfSrFkzRo+Wr2JWmZLL6jpqvvztS9qGtiVuY1yVllxWZvoVgKXKkm0hjofXPmzXJq0gjQWHF5RYmMQyM1tyUv61tDgJYNlYfOc2H0EQWH73cuJGxTG8+XC7Y3lGJTGoMtk/Yb/Vtfbh3g9ZflrydafpJJdcSVnDFiyuwaLkG/IoMOZXaB20xo0b0759ewA6depEQkICmZmZZGRk0Lt3bwAmTZrE5s32he1PnjxJ48aNad68OYIgMH78eNn+K1NyOTsrm+cefo6IthFVXnJZmenfJKIoErU4iseiHuOpDk/Z+UyNojTrytZnO9SXfX/X+/yd8DctA1vSq34vnCHnQ5/cdjLfHv0WwFooRI6iipoAqhKe8y0DpZvjrW5v0a9hP2uRccvisULloFVpebPrm7y+3b5K2Jn0MzT0bWinwimKorWwzOn003ZvdyIi4jOSSFyj4AhS81MREcm5odfv5hHgIEZXXhSVHra4d1xBrlBOUSpTcvmz/35GTPcYJiyegFe2V5WWXFZm+jeJxbDPPyzFhJ9OP209ZpnpzzvoWODj7wRJAtg2ukZv0ju4geTcMQMaDbArsecMucpYpfHp1vepb92ublE7NRG5ClzP//s8PZf2tArCAeQYcqzbI1aNYPgq6a2t6CLutdxrXM29alegxZL7cavw9/cnICCALVukbOfvv//eOuu30KpVK86fP2/1q//000+yfVWW5LIoimRnZ1M7rDaiKFZ5yWXF6CNpmryx/Y1S14wFx1qqK+JXFB67ER/vLEYc4FxG4aLsg2seJHZJLPuu7SNyUSSPrX9MPlpGkKI6bLGNpQdpYU+OX07/4nQsRbEt7lGcEJjCrcFWgtkWWyMPhYbbdn0m35hPcn4y5zPPW/e5Es57K1i0aBEvvvgiUVFRHDx4kNdft3+b8fDw4KuvvmLIkCH06NGDRo0aOe2rMiSX0wrSmPzUZOa+O5fxd41HZ9BhEk1VNlJKkVYGFh9bzId7P6S2V22mx0ynf6P+Lp13NfcqaxPWMmevlLD067BfeXjtw6TrpJtudMvRzIidYSeX66Zyc0iwscgyyEkCrx2xloErBtqPd/BiOoR2sGs/rcM0PjnwiV27Br4NrAlbM2Nn8s7Od+yuVxJZ+ixrBmjXsK58NeArl85TqBj2Xt3LQ2tL1u8fGD6QZzo+w12/Fr4Nzm0zlzqN6xRzViERwY5KowryiKLIpexLdvIdKkGFWTTj7+5Pfd/6xZxddhRp5TIy9q+x/Bb/m/XztbxrPLvpWZef0ONXj7cafJC07h9s+yAgLZhZZvq2STaze8126GfvVecPuaLZtFCotvhoZGHFJbmY8oa+Un3RWu61GNliJO5qd2Z0mVHcV7LDdmapM+lcPq+s5GbqOLG9/OWoawodaxcfjmlhbcLaMlXa0qg0iq6PC2TpssjSSW7SLH2Wg16TJTijLJ6DW8FtbfSPpBxxWBgD6P+LazP9a3nOi1V7ab1IyUth9p7Z/HjiR+v+fo36ObQtbvZW1H0EhZEatu6XHvV6OLiCtl3eho/Wh5X3rkQQBPaO38voVvLhbnLYqlBayghWJMs/2MfGxSfJy1IkAuRQCSr+Hf2vS9XLvjv6Xan7FwSh2pdlvBVcyr5kfYMuGqBRlKrmSYHb3OhbqOVRy+7z9fzrTlpKvvLIRZF2vlFbLEY6rSCNTYmb+P7499Zjlpm3pYi3LZas2qIcTz1u91mr0tI2WEpnt9XP0aq0DrIMIPl7LfozZeGd7pJL6LUur5Xp/P1bkji4Lcmltjlp0g2UVeB8DeR2J9AjkMWDF5fYrixy2Ja1p+LWoBQKyTfm2z2A5dbfLLP+HH1Olfm5KkYf57HLckxeK5UoHPb7MNnjxb3SWbRcLMbflfNe3vKy3WfbItq2CVMalaZCBMLubXYvRyYdKVVFKFt2/HiKbd+fwmQsPh/BFoOhetYevVU4y5y25WByYd2GjqGuuYUsyqtFF4YV5MnSZdkZ/YZ+jve1xT17IeuC04kiSG8EWbqsW/JmUOOMviiKLr2i2iZFyc2yd1/ZXabrLzq+CEB2dm25qSxFPqZETbEekwvrlMM2jNJWetdb6828fvPoXb+33GmVTn5+ybHJGqR1A2NWakUPp9rjo/VhQKMBfNDzA+u+bwZ845BUB/BC5xec9qNRaWhaqynNAppZ/54u51xGZ6zYNRydUSfJIMIWAAAgAElEQVTrurQlNT+VYynHSkxgvBUkZSeRo7d/GKbkp9glLcqFV2fqMq3jt9gZnVHn8PPN1mdzKfvSLYmoqnFG/+dTPxerLW/BdoHUtoiGhYfXPeywzzaeuSTkZHEt9G7Qmx1jdtjF2lsyLEtiUHihEqStJr4gCNT1qcvTHZ52eYwVTcrVwptk19oEju+6Umx7QZB+J3plpl8iO8bu4KM+H3FXk8K/oZiwGN7s+qZduyfbP1lsKccw7zA8NB4OIblnMs5UqPzymYwznEw76dSgFxgLrPdwSdISFY0oimToMmTzXjIKCiVRbGf9lntTEASH2fuZjDOcyThjt8+S71OcGmx5UeOM/roLUrm/EatGFNvO1le+/sJ6l/ruv9z5Au/IFiPtPr8S80qxffm4+RDmXfrFUVu/oZweTlEXjyuLfhXF1p2FkTgnNyQS913x5R1VSMbeqFMWcstK0czV1oGtZSWaLZMS22CAosSnx1eI4beNBHM22z+bcda67czlYSu9PHfuXPLyCmfdPj6uFQkqjoMHD7J69WpEF8QpGvo1xF1T+OAMcA8ApImi7dvAsZRCeQbb72V5SygaCVQR1Dijv/uq5JYpKfN0zh7XioEcSz3GwOUDSwy/sp2xtA5sTXSdaLvjH/b+0OEcL60X60ask+0vMtg+Zv+xqMeYEjXFLqLGIplgS4BHALvG7mJ+//lMj5nOwYnlV5O3tCStcZSByEyWZjJXz2WiL5BmN4fjLnHtfBY6UVo3MChGv1TsHb+XfeP3yR6zPPQtRt6yNhPiGUJEcITdA0Fu3SY+Pb7c/cy2bhK5kOSiuGJ0ixr98sBi9G3vbWc/i6ITMNvJ2cWsi7Ln2K6dFCeEWN7UOKPvKrYLXRZaBLRg8eDFhPuFA9Iv+KtDX3E597L1YeIM25vH4s+f1GaSdZ+tW8aWAI8Au8/PdXqOD3t9yPeDv7d7IOy4ssPBdWNbmcsWL60X3ep1Y1zrccWOuSLZsi5Bdv8fP58kO0vHitn7WPCfzZhMZrYsi2f5B4W5CkZ91YhyqC64q93t/hbWjFhj3bZMEtzV7kQER9DQryERwRGyReGdFW2xJBveDLNnz+aTT6TkwTdefoPJ90kBERv+2cC48eMwmA2sW7eOrl270rFjR56b/Bx5OZIRn/XOLKKjo4loG8Ejjz7iYHg/+eQTLl++TN++fenbt1Aq/LXXXqNdu3bExsZy7tI5h/MiIyPJyMhAFEWCgoJYvFiKipowYQLr1q3j9ddfZ9myZXTq2Im/f5NkUyxh2r//9DvTJk5j6ripDOw0kM/nfc7HH3/MyDtGMnbQWFJSJd/8xfMXeWzUY4zqN4qJQydyLl7KwN+0dhPdu3anQ4cO9O/fn0PnpHobn8/+nMmTJ9OnTx+aNGli/ZmVJ4rgmg3fD/4eL60XCVkJAMzcNtP6cNh/bX+x5w5oNMCadbvtsiTp+kL0C9aFXWcUTYYxiSZrBSfb2HhnIZNbH9jq0mzpVnP413Oy+zOPpJOZWziTT7jg+AZl1ClG/2awDd2Vc+9t+fk0KZfkI3TkJMCPqrJwK0GGI7iBDz1HOZew7tWrFx999BHTpk1j37595OXnYTAYWLNxDc06NGNX/C7effddNmzYgLe3N8+9/hyLvlzEEy88wZQnp/DOW+9wLOUYrzz5Cn/++Sd33323te9p06bx8ccfExcXR3CwlKSYm5tLbGwss2bNYtrz05j7+VxmzpxJiFeI9bzu3buzbds2GjVqRJMmTdiyZQsTJ05k586dfPHFF7z99tvs3buXGR/MIDVfCi6w/A8QfyKe5XHL0RXoGNplKB988AEbd2zkpedfYtmPyxj64FDeev4tXv/wdRo1bcThfYd596V3+fa3b+nQpQNL1iwh1DuUL+Z/wXeffceLb79IgEcAB04eIC4ujuzsbFq2bMkTTzyBVlt+9Sxq3EzfV1v4irrzyk67Y5m6TLvCE0Wx+DcXDloIQEpBirWa1A8nfgCgZ72edtew4KnxdBoaJ9feGU39m8rud6Zy6e/uf1Nx+JXB9dOFeRBrZh9wOJ5yUXHv3Ay2fvrSug3kaieXh3OnU6dO7Nu3TxI800C7zu04dvAY+3buo1NsJw7tO8SRY0fo3r077dq1Y+WylVy+JN2rcXFxdOnShft63ceuLbvsZIud4ebmZi2pGNkukqRLSVzPs8+/sUgxb968mSeeeIIjR46QlJREYGCg3ZqAraG34K52J6ZHDN4+3rQNb4u/vz933303oV6hxHSI4fKly+Tl5HFwz0Gee/g5RvQZwVvPv0XytWQArl2+xpRRU+jRuQcL5y3kzElpYVclqBgyZAju7u4EBwcTGhrKtWuuB5C4Qo2b6Q9uPJifT/8MSJo6sWGx1mM9lkpJUbvHFe+qsRjvbUnbHI61CGjBgeuOhkqlUvFF/y/osqSL3f75d84v0SgfnniYXEMuOYYc6ni7po9SndnxU/F64hcOmJn3+EamfnnHLRpRzUKr0hLiGUJyfrJdwR0Lxc3IwX6xESR1z5stRKPVagkPD+fbb7+lfXR7WrRpwe6tu7mUcIkmLZpwKeESXXt35YuFX1Dbq7Z1IVdXoOOFZ15g1+5d5HnnMW/2PAoKSg7JtsyM9SY9ao0ak7FQ/NCiVtqrVy/mzZvHxYsXmTVrFr/99hvLly+3CrQVh0qlws1NcqlpVVqrFLNKUOHj7oPJZMIsmvH182XFphUO57/3yntMemISfQf1Zfe23Xw++3NAekhXtBRzjZvp285ybKMEbBdiY36MsW4/2+lZhz6K0+7+5ug31oxYW1SorLMkWx2cbnW70SqwVbFjFgQBHzcfWYM/vvV4ayRAdcBkFqtk6vntxtcDviYyONIhoKAsGEwl1951RlpBmvXe69KtC+9/+D6dunaiY2xHfl70My3btkQQBKI6RXFg9wEunrtIhi6D/Lx8Es4moNPpEEWRwKBA8nLyWP+HfKSdnGzy2cyzxKfHYzYXLsTaSp83aNCAlJQU4uPjadKkCT169HCQYs7Mkg/gsF2odbbQ3LFhR+o1qsfalWuldqLIyaMnAcjJyiE0TIq0W7V0lfUcV+oG3Cw1yujnG/Pt4l8tcb65hlzZ+NeWAS2tkghN/Js4HJejT4M+vN3tbdqHtGfbmG3WX767xh1BEPi83+f8NERe77ssvBzzMpsf2FxywyrCl0/G8cHsnTRyv3ml1NyMihd5qwh2nE0lPbdyXVRNajVhyZAlDoECrlBcZmlpuZJzhcRsKYqrWcdmpFxLoV3ndoTWDsXDw4NOsVKBk8DgQGZ9OotpD0+jV0wvxg4ey/n48/j5+zHuwXF0bN+RaZOm0bZ9W+sDSEQkJT+FAmMBU6ZMYfDgwXYLuZYEqKJhkLYPsC5dutCihfQW07NnT5KSkujRQ7IJffv25cCRA4zoM8K6kGvBNqJHI8g7TLRqLd8u+pZff/yV4X2Gc0+Pe4hbEwfA0y8/zfMPP8/EoROpFVRL9vyKokZJK0/bOI24S3HWz60CW/Hz0J+JWiyftr5gwALaBLWh+0/dmdFlhp0YmZzM8R0N7mBu37l2T+MBywdwJfcKfw//u8JkVKsLer2RBdMKH1AqDNwbOJNf094vU391IgMZMbU9RoMJo96Mh3fVL85uNJmZ/Nx6dHU8WPZK1cmOlpPiLQ6LXbDNZ2ke0NxpxJizPiznRwRH2LmNVIIKHzcfq1qlhUCPQHINuXZv6bU8amE0G62hnq0CW6FWqck35HMu8xxqlZqWAS0dZslF3VQW6njXKTZ50pU+vLReVrXbNkFtnM7Qs3RZDjpIapWapv5N7d46LLgqa61IK9+gaFilKIrFzlBUqPBz8+PIpCMO6pNy4mVjWo9x+OXe0VDyO5dVm6YmkZpu72s1oyVUe9ZJ60LGBUslGT0EewNw9UgaiecymP/0v3zz/JZq4TYyGsx00WnpdaHqRVSVBkEQHP7WS8pyt2BJuCouvt4smmUXjcE+jNld7Y7ZbLYLJ7W8tVuMqclscnls4Pr3KIqt+9Vb603zgOa0DmpdrEvG1t1c37c+vm6+tAps5VAFTUCQzbupCGqU0S8abnYq/ZRT9Uoo/o/yn5GO0gxaleNM84XOL7D+/vUuF6auyXzy3g7HnRN/lW07uNZ/rdu1NJeZFPII40KmUldrX/N35ezCUNn0DPuHil5n5EqC6+UfbwUmY82KPGoe0Ny67YpEQLY+m5NpJ8kz5JX4kLYEOAR6BtI6qDVqldoaLQfQ2L8xapUak2iyS366micZbdt7O60grUKyh22zbG0DMkI8Q3BTu8lXtrNBo9Lg7+6Pj5sP/u7+sq4zkB4IzvIkypsaZfTlOJLsvEpUp9rOCybLpafLiVBpVJrbIuLGGfPWnGLT8WvsOJVMfZ1jTLi6Xnvrdl+/wtqiTTx2U1t7Cj/1VbjzHXzUqXiocrg78B0mBD8me63LV+xjy+fP2cOv7+8lLa3i9UpcYUt8Mq8sr7wM6IrA1p3jigaOxX9eYCzATKHfW05jRyWoiAiOIMw7DJWgsr4hWDJV3dRuGEwGcg25dg+QWu7yPvD49PhixybnOjGLZqubxoLJbLLKINv66y0z+kCPwFItuNb3rU8jP+clHkE+VLaicOnRIgjCIOB/gBr4WhTF94sc7wXMBaKAB0RRXH5jf3vgC8APMAGzRFFcVn7DLxk54TQLpX2y2j71FW7wexLHKEYv371QCbS21saHOeQj7v/reWm7eybUiQTvEDRfdsdPI1/PICslGShMrlFdkoz93t1XGDDItYX4imTGl7vpqAe4dTfwrcBS/q9UCPYLpuczz6NVaYt987Zg8d0LCNb2rpwHksGWyza2vLF4aj3t3giScpLI0mUR7h+Ot9ZbirBJkyJsIoIjrN4AS82N8iwlGeIVQnJecrFrAhVBiTN9QRDUwDxgMNAGGCMIQtFMoYvAg8CSIvvzgImiKEYAg4C5giDckqVqubKEpeXHu37k/Z7vs2PMDt7t/m6xbwa3I0Vf3z0EmfA22z/mDoVZlEQ/Yt+uaV+SMlTMuzCA47Xuk71e9pVURLOIyWi20+c/sNW5TvmtZFSuJ80MNcvgAyWGHNtiMZICgt16WoGxwCUNHWfYSg6bRbNT6efUAnlZbssbi7vKHZPZZI0osiwkJ2QmUGAscCgLKiLirfWmnk+9Mo/dGaFeoUQER9xSgw+uzfRjgDOiKJ4DEARhKXAPYF3WF0Ux4cYxu+mAKIqnbbYvC4JwHWmq5pgxUs7Yas3b8s/If5j490TGthpbYh9RIVHWghX3NLunXMdXEzCZ7G/iAtGfQM0F0ozSq+yIwOnAbtp5reJQ3jB8uoyEDTa/+hfPgY3LIOVSAgV5+fy9I586wYlkmOyjoc7EGTi9eROqItf1Sbm1N40zNEI+RrH0Rv/VXw+za1sSLz/YgQGRVc9VaGuUcg25pOanUs+nnsOMOlOXaZUazjHkOIgeGs1GyUdvNjksZIIUKlpUnKyuT12HLHqzaOZSjnxlMNuJiMXQ1/aqbd1nSVbL1GU6RNtl6DLssm9FUQQRBFXV+PsqL1zx6dcDbH/CiTf2lQpBEGIAN6DkcI4yYltgpKhP/qG2DxE3Ko5Qr1DWjFjDxIiJFTWM2waTyfGVXyPoCHffQ3//udSpY+RK/ClOJx+mqfkl3AMacE/A64wNfkpq7B0EvoU3pMkm87CW4RuMBY7KkUUNvoXT8Wmy+28lKux/Hqt3SbdNvt5U7KJmvXUpDM9155/5ztefKhvLImZCZgLZ+mzZYh+2+7J0WbLx61YpZZkfh51mkEqNWqV2iKKL+zuOkydOysqKQ6EufWp+KnqTHk+NJ342LkbbhdeiLquicgtm0XxTbydVFVeMvtxjrlQ/CUEQwoDvgYdE0dE5KAjCFEEQ9gqCsDc5Obk0XdvRJaxQAqGoVv3DbR+2y5RVuHlSshzFuQyCmiEB79Ey5BQ8tYcrZ06TrvfiWGYd8AqivvsRAjTyawAmw43FM3d3zmR5Ycz/F1HUMzTg7RLHsmebo4zzrSZAaz/7PP9dPIcvpDPlxQ18u+6Mk7MKaWhU859F+8jXV71wz6LCgHKLukXDoz21zt965KLdBEGwRshZFmuLvk1s/HsjJ4+fdBCSs8Tdu6ncMItma1hmUe0h2+ueSC2+voPloXArZY9vBa4Y/USggc3n+oBz1bIiCILgB/wFzBBFcadcG1EUvxJFsbMoip1DQkLkmriEbSJJHe86dpmx3lrvMverIM/YD7Y47EvXN4WH18Nj/4JKjclYuAC3fcVP7K73Apkj/wAgOy2F9KuXrf9yM6TZ+lPfLqNXlxuhbaKRIE3xWj0AGTsrvsxcSbh5OCpXbvnvAWJ1Wq6sKfk7ADTfkcmfmxPKeWQ3T1EjK1evomjh77R8+7evvNw8/jP+P4ztN5Z+XfqxbNkywsPDefnll4mJiSEmJoZLCdKDM/FiIv369aN9u/Y8PPxhriRe4cDuA2z8eyOzZs6iX9d+XDx/kRYBLfBz8yPEMwRBEMjUZ9oZ8wKTfZhvaQoX5RnzauRM3xWf/h6guSAIjYEk4AGgZIc4IAiCG/AbsFgUxV/KPEoXOZFm/+S21ci5VTGwtxOjcpxUXWpQqG1k0hdGSuxYLj2Es9UhtKAWP7/9qsOpaq0WlVqNtt1w2PkpZlMK5jHfwSeVXycVYO6G06w6eJmlU2IJ9bOf/RaonVdrCiqwXyCc9tMB2jWoxaw/jvN8kWifvNNnob+82mp5ELfwK65fkJe+dobJbKKgyCLnYRsXamijJoQO7W533LIoGuARQHpBOts2bqN+vfqsXyPp52RmZvLyyy/j5+fH7t27Wbx4MbNencWnP3zKq8+/ysSJE5k0aRLv/O8d/vvqf5n3wzzuvOtOeg3oxcj7R5JWkIZWraWBnzQnFUXRYYG3aL1sQRCo5V5LVoiuKAKC5NO/xQutFU2JllAURaMgCE8Ba5FCNr8VRfGYIAhvA3tFUVwlCEI0knEPAO4WBOGtGxE7o4BeQJAgCA/e6PJBURRvWTDzuhHrZEO4FCoeQ0EBu36TFE8FlYqOg+/m7L7dnNq+mYSDkr/+jocew9270Fj6h9ZBEAQ8/aWsTFPOL/jW/xpwfBV3F3IwiO6YuXXyDCf/OMUwnScD39nIq6MjGdlZMjhnrmdjLMYroxXs3SFBW6+xU3OZ53WOLhB1qnzIamVyMy6OQI9A0gvSad6mOXPfnsvLL7/M0KFDrcJmY8aMsf4/7T/TANi7ay9/rfwLgLtH3c3Hb39sVfo0moyycsdy2OrnW1CpXEtPStelV8laFTeLS9NfURRXA6uL7HvdZnsPktun6Hk/AD/c5BhvCttCJAo3j8FkZuG2BDbHJ2MRrW7r9Tc5pmASdNF08fkRuIMTW+JY/dlHANRt0ZpRb7yHWqPFLziUcwckbaX6bSJpP2AIgsxN2KRDZ5qGipy9LrBq/tfoc1JRa5uhdpeihfv7z6Wl578A/Jr6LlcM5Rc/7YwrmflE6iQ34SPZHuxdG281+qM/3MJjBc7zODxVGbz4wwH8PLXMHNGWYJMbwU7siUZfvmX/itL3wSllOq+oDo1tzLqtzk5RLEXXw5uGs2vPLtavWc8rr7zCgAEDAPuZtGXb1q3SOkiq86sSVA4upJKQW8ezdVUFeQY5fYBY8gWydFlQg1RWaqTPIyKo4g3A7co3W87x9V+nqWUWAOlmjr6vJblrPydBF03dLpIIVNLpk2jc3Ol6/xiih42w3swd77qHjneVHP4qqFR0eexNsr+dT8a1q5gNFzAbzmDK/xczKjZl57NJ2wcQ0evXYxB3cexAXSI6uBZTfv8X2/F0U/P9w/b1D37cdYHGwd50a+poLHq9t5H/2Lhiwq9cISkjn+tZBUzO9sBAYzxV6UwMeZx9OSPYmzvK2lYUzIRvvVF2cETxYzPqq6Y7ISI4gjMZZ6wuFFEUEQShRENs+d1fv3qdxk0bM378eHx8fFi4cCEAy5YtY/r06Sxbtoz20VIGd/vo9ixdupQJEybw05KfrMqXvn6+5OY4BhDIEegRKCuTYLse4e/uj8lscsndU1OokUb/qwFfVfYQaixpu0/yULa9L98jegxetWoxdcV90EYqD6nPy8W7Vi1i7rm/zNcKaxvNhI8lPfj9zw1mT1oTGrntwSRq0UYMAE/JBXRhz3702Sms/mwjH0Sn8+nEzvh7Fe/yKTh3nmzRA7A3+l/+cpQcAQ58OMThnKez7G8XszGMobPi8BJFxt54GAiCGc30eLp8cyd7jxYa/XyTfE6ipyqTfLN9JIuWqrF+IUcdrzpcyJIWpa/nXSfQM5DT6aftdKnq+dQjKUeK0KrrUxeQZvvxx+N5ZuwzqFQqtFotX3zxBffffz86nY4uXbpgNpv5ccmPGDAw84OZvPvsu3z44YeEhITw3XffAfDguAeZMmUKPy74kQU/LIBiAvLkXDtF8dR4Us+3Hlq1luQ8+cjBmqarVSONvrPELIWbJ+BKPGba2e1TuXtB2xEYfBuy4tvl6PM3kJl8Hf/a5Zdo1KHuWTr6bYfIkXD1KEx9w3ps3tHvIHsF6oJDdDnYikln4/j9wwFO+xJFkcHZYdZty0xUZzTxQI7zMEO16PggeSTbo8geETxrwVN74PGN1r16c6F/4Hxyjk1rM0Ga89wV8F++T5YmKyqqrmibj5sPYd5hXMm9Qkp+ijWs0SKTEOoVSi2PWnhpvVALaut6Wrh/OBOGT2DKKEfX0tSpU3njjcLfZ1pBGs3aNmPjxo0ObXv37M2qbVLRkaK5OLW9a3MtVyot2DqotVMxtPo+9TmbcZYGvoVBib5aX5JJtn5Hd7W71e1T0yJ4arzgmkL5oTeaMefbG/xgzVlJakEQuJQmkHTqONnpaTRsG0XHwcPK7drCuOUQMwWGL4An7dU8h/e8IbRlliI17swufi6ToytcVM3IKzSwLWesuflx2szSHw61TQAsvNXm/F6oJGoWNYheufi9eYKpde7DX30Znanog6SKYeN9slXFtMVN7WYXQKFRaVwWFQv0CLSuAxTFNgqvqKpmsGew9ZrFqV96aDyICI6wS9ry1HpaRdFEUbTz+8up61ZnauRMX8E5F1Pz+P1gEnqjmWn9muOmcf25/8GakxSt9ptpqk3C4QNsWPAZunxJAG3crI+pVY6zfADCoiDsQ/lD5guo3SIw6Y8hmnMRVN78c/Qq/drKj+HU5XTr9oWkdAJaSO16G68B4dZjGXl62r+9noi6fvw+tTuuIAKpiRe5cOQQtHyBwCsrSVXdjWBjhBoduojFL6EXfcnIDwC1Ft7MRHh6IWaT1NZoMqNRV715mTWrVobSRsolJCSUeRxyD4ZmtZq5pAYqh+VBYRbNdt8jxLPsuUNVkar3F6VQobz5xzE+Xn+Kz+Li+f1AMeqYMmSccawipDMWcDRuPVnJyTTtGEPMvSPxDwktr+G6xqjFCBrJd2zSS2M8HpfgtHnqqcIokx/+LpR6iMkJt2v31h/HmWg4w7XEKzR/zb5cnjMKTAFs/O5L4hbOJ27VBi5nneUu3yfs2ngb7R3RZkOhqolapcds0nDoUgbNXvubrfHll3RWXkVoiptFyxUfKm8sxl5OBE2j0jhkD7uKZXYvCIJ120PjUeVCvm/296gY/duM5he2MSf3Eu9kZ5GXIF8Kzhkdz19x2KfPXsGp7ZvxCw1l0JP/oeeYSbIhmBWKSs3gkHUAiOYcRHMWXlf38/2OBNYfv2bX9Hp2AV9vLFTlDL8gKYMmZdhr8htMZpL37qF2biQPZQVzjzHB7ngP329kh2JGy+X4U9Rv05bRb0oK5OuyYtBlfoNJJx/S2N7rd5uvYkQ0a9h77ArPZwps2pUge05p8fDwIDU1tVwMvzM9e3DM3K0ImtRqQsvAlrKibTeDm9qNOt51qO9T3/o9Si0pXcGIokhqaioeHmV3ASrunduMRim+XDM0BiDolGONzuIwm+yjGCQVwnwieven59hJ5TbGstBoQB/4eg8m3UFMuoPodMGs+DWMAkHFnbOlENHDiRkM+2wbsw3XSUby33oYCigwmDh7zV5WICNHR9fswqzYFjm29UjNhD/yAlv/L93uHFEUEU3JIIJvYDB1W7Smw+C7Sb+cRMKh/Rjy1iNiRqVpgEpd+LM8QgOOPvkggiCQl56NoArE/G82bmILGp44CJRY9rRE6tevT2JiIjejbWVLviGfTJ2jlLYqufrPI69zHb1JbxWQM/qUzV1UUXh4eFC/ftnrcStG/zbDSKEfNC21dElAWcbC1+lHnxH4cs4FwExAWF28awU4P/EW4B49FrelYfhynLTcJDCoGZddaFgXbjvPrFWH+ci4g6sFhZE9OkM4c1Yfp794GWwye1OTnat2PjgxBc/6nQF7o2/Wn8SQJ7mBghuGo1KrueNBqQrYsTf6suakN8Y86Y3EzXcMKo0UQaRPPoxBn05Yi1ZkpySD6TJuaT1BAGOejl6z4/j5sa7U8S/77E6r1dK4ceMyny9H5KJIAH65+xdG/jESgCOTqq5SaGk4mnKU//z1H6DmfCcL1f+xrFAqVEJhIk0t0YTZXJrXfenP5fHP+uDWqg9mvVRhqF7rKpAM51eXR+tOZ0LXIwhqf7CJovl5zyU+WbWL943buZrrGMp5aMtR3Ip4JTKvy/vSfd1P493tAVRejrHboiglDd3zwgw6DBpqdyzijX947PFBtA2QHiaGvPWI5ixEcw4GfTpNO8cy9p051A7rIJ1gWSs1etLq2nlW7JPXj69MHo18lA6hHUpVZKW6YInksQ3rrCkoM/3bDIveOEB6QSeyC4zkG0zU8tLioXXNH6u+EfHToE4q6TkB1G9VBYy+IODxyhFw84G4F8HGFztr+Xaeyxa4ah4oe2qfnNpcuVGJSyMUYBQ92H/sAuC4KJmRZeSTSSMRRTNmvR6zqEalqei5TSkAACAASURBVIeg8sdsluK6m3SKRlV08U+lwqfvUwzs8TBHJ0xGNKWgy/zaetg3SJIGVmmkW1IUpazXfEM47QwQcGg33NGcqsS0jtOs2yvvWSkvwl5N8XXzrXEzfAvKTL+aseboVcKn/8X1rIKSGxfh9LVs1GZ7ien0zGxi//sPkxfuKfZcURTx1iTi534JfX4eeZkZCIH10PpUoWxFzxuhj6iwnem/lKMnx2wfduftbu/aWrhdmkmHBCcAcOFEMl5qe+Ez0ZyNqWAjotlM+wFDaNulIwEeRszmdEz6I4jGJLy1bo4G3xatJxr3SLtdfiF16D56AgDu7pL7zZC71q5NysXkcou+qQia1GpCE//Kr1OsUDLKTL+a8duuUwxXbebwpU70jyhdLPzaI0moTPbnLFi9n2dNu9kVH0r49FT2vNafEF/H+OdP/jlDLUT0hhTmPTwGs0nyP9Rt0dqhbaUj2Bv9DJNjaF/7gSJxi+diRovWewh9ssMByE47hS5rN2EFbcn3aIiXKhk/30yuZjbDmL8Ds1lP7fBW9B4/2drX8ZeGc93Qhj6vPgwm+dqtdqikJCVv9wCMnuMZ+0ITPG4ojXZqoSLhnB+Y8zDpTwEqVJo6qPOjyNOb8HZXblmFm0P5C6pm9DrzLf55EXy3ZCn9Z/2nVOe2SdjISez9r/GnzlE3uzc9MNHCbwdnr3dxMPoHLqazfP0OHjA2QF2wB7PJRPSwEfgFh1K3ZRU0+qgQxQKM+bukj4I7avd2VrmFRmHppF1PRVCrwKjDkPMrZrcIUHmTIV5BNOVhNpxF9OhInjmEDq3g6i4QRT3uXt6MnDnL7mptXvuUNtlXIaSFS6MTBOnnW6dxEH1CvsW7/vfWY+EDBqKJU2HM34QhV5IWVmnCcfMdTmZWHt4hisSIws2huHcqiD8PX66Qsnea3M5c0HWmvb70qoAFqY7RH72zmgEgoiYkqwcXdkkSB/svprP7vLToeOriVZ7JkxYp8/SSWynmnpG0HziE0PCq90qvUgeBqMNYsE36l78R0VS4MDv0jREYdQV4+Pii8egGuGHSx2Mq2I1RJ7l9RLFwwTuoocU1ZMQ/tA5atyJvQv71oH4nl8cXFZaJ1nsIPR+YTK2nloHGrfBgWDtCvINw83sIN7+JqDQNEc3pmI2XSU+u/OpgCtUfxehXAAcvZfDUkgO8uco++anAYCJPf3Mxvyl6adE0Qu/GyauOJevk+PSfeMKn/8XhtMIEpB5D5f3OcQcSCZ/+F8M/386o+TsQRZF9v6/hmqGl1EDMo0WX7nj4VHzmZVkJ9QnFvdYzuNd6Bq3PfTf22uu0XDx6CI27OxrPWDwCnsLdb6LdcdGUhj5nJWrdT+zbvx19zkowJaFxc+Nm6fXSZB6c4ENQ6yjZ4/c/H8WkfrsZPDgbQR2CaM5En72U/Rs2kF1QOj15BYWiKO6dCiA/8zoJHmP575X3gMIbu9v7G0nL1ZPwvqNsb2k5r4vlxMFEWg1qg85oYl9COt2ayevM/rR+OwNV5/DWqxFFkZYdT5F4OgtDnqMuebTuOq3U2wk0CxhQ8d3Hp2mTfYpcsSlG3SFEcxYad+fFQqoCo98bwhcvSaJmUsVO8PTZQ076OVSY2LzkIpnXrxHSMJw2dQ5y4GJ7BLUfbn4TaVb/EqcT1JhufFetJ2QlXyOoLkBdmsd0venxqfxr49d3gtPjbk064dakE4YTR9GsrY9KG44hZwVn925jytFLvPfkvTRu7/qbhYKCLYrRrwDcrh/hq7N30jJ1LTDVur9T/nY8VTrg5o0+QMMzvwNtmPXXCRbvuMDqaT1pU9fR5ztPWEZ6fnv0Zi0n8zdyeOMh6YDgaLwtTiNr3ubuf25sFNYoaBTVoVzGX1Go/EK5764k/Jq3YuH/1QLBi6yrCQjqi5iA/X8dRq3V0vGue2jdsR3qDz5kb9pgVOpg2sT4IOqvcj5VMsqT5sSi8XJSC7iC8Q+rgyBcR61thFFTD1/dFTrpUvn3+9SbMvp6oxm9yYyPsih8W1JjfutVKZwtK8VItr6AbJuIP7NZ5EXTHvSi502pJ/q4J5Gjk6JRtMmSi0W8sJM47f+4nrkKihj9lBwd29NfkMZgSsOkWwjAU9/9zNfP7Szxeia3zZjTCxAxodI0IDSwHm169i3T2G8ldYdJRrth4OdcUj1OdI9MYsbfJ9u2y6zZhP08n+DIdni1uYNGg2He4xvx1aRWmsEH0PgHWbfdfUcDYMhdT/qV4yx+8Sli7x9Diy6uqX/a0mKGlDVcHm+cCtWPGuPTr0qFDs4npTvsS8nRsT7zOf7NeoKP15dO88aC0WRGqyp0yVzLFDCazHS/fJrVyf/ji4UruZRmH3+en18Yzy8aJfGxnmMfwt3GmN07tRmdOuUTUjvR4ZpqfS9q126Im/dgNO5tuefVfmUae2VRP0yK2KkdWMz8RhBoOPpxvNoUum5GPebP/a/1qOjhFY8gMKT9JsaOKpw9qN3b0KRTDOlXr3D+wL5iTnZOX9UBJqtdUw1VqHnUGKNvFs20uOhDSHrl+5sTrxRGWaRdlgzppeTCB8Gp/f+Wqd/oWRvQGwow6c9K/3RJ/PrXv1zNaY5ozmWYYS9DZv3Of5dLM/hLaXl8/uu/khCYuQBRlBZyW/fsDcCQsX7EdtVRL7IhsY8OobaXfLSRziDirb7Ko//XC68g5wqLVZH2j47j7jvO0mjQXaU6L6RDJ7zCwipoVK4T/vjbBNzxgPWzSlOPiAnP4BMUzOkD+1j92Uf8Pe9jtu0+RPj0v7hn3rYS+3wo5yDBFzPYsmRhBY5coapSo9w73Y7eeB0uXfh6uTNajOPPGzVTD2/4mz4THyUw7YT1+ANZccBjLvUliiJf/HuWe9vXo1PBTvTZFzAUSDN2Qy5c+vEofj5t0OWs5HwmTGIJ/ALnm77JG/v0mM8kEJJ9CNFUKDHs5iHN8sN7dSa8V+G1GnVpw9Hzjou7gqhCFIy4eVa/PxeVlx8NRz1a2cMoVwZ/9A/ReaE0yz2L24nj5KRcg80bec2tgCuJQXx35nu6jhxLq269HM7dfiaF/RltMen3snvlcs7t34OgUpGnN2EwmfH3cqPbyHE069xF5soKNYHqdxc7wVyFiklvzJkALAcgNVFK7z98XsBsuo5ozuN6emsO7drNPyeuc1+HeqjVKsJatHKM/wYSUvP4Ys0Bftl9ga9MO/nT2Bit2gfB6x5EczaG3FXk5ks69xqv/vx/e+cdHkX1NeD3bk3vEFJIAUIv0ouoiCCIFEFRwF5/imLDrp9d7F3soiigIDZURIqAIoIU6QQIEEJI7z3b5vtjtmY3DRISlnmfh4eZO3dmzkx2ztw59xQAU8Vqfnr9Bc6xmMFssRq+tGh8zyUwqNrFtONMwojB8I17XdIyQ5dTvicKp4afroIKg/x3e9m8lr3hgpvCUymb+QPVB3ew/efFFOaFEqdJp7SwgH++XeRR6ecX5GKLVu40cKh9LuzffZkIVHQoTGfrz98rSr+RJDwiB9Ktf3AE8eH+9fRuWbxH6bdgsYMjuWVEBfvia03VqBGOUHyzUfarXvzvfvqX/AZIZAFZb8i5br63mlaHT7uOwZOvdDu2qMxnt88tvF0yhV8zB2IxbQNNPDpNJJIkFy80mwsBNRq91T1UMtP7wiAOrv+XSlMUoELjMwCh8iMopO75hJkfXIgQgvRtB/ljQTKlla3XH/9s4sZ3xrNy7lcc2h1DZtlEwoAfmcDy935h4rgRVPkNRRfQkXLAV/8NllpKGvbLX85hLCD0JM2Yxbh3/gJgTfQyfCQNHx/vgObYUY/7KtTOVPU6+opD3D7fj9/ub92ODl5j028p7x2LRWLk6+v534Jt9vVO2v/s200mI38dyuVe8S0gofYZhC7wKkqiY7g09jixE6ah8/Vl7/rVHo8vlRTw7olP6VtcgMV0DACNr+yxIYQWobKO2oUjaEjj05e+U68nwL8fWr8RaP3Ot/fLLas7N4wtVUFs/86cN8ORVjY4/Fgj7opCc6DVuY/RJomtzP1tG6XVjkC98I5dKcrKpLyokI0peWxMccwxpRT1sWYgVTPunb+4Xb2MRzSLWJH/Ej8WPE+4vhpDZUWr8oY7E3hV+zEzNGsZXzCvpUWpF69R+i010jeZLXypfRFdygoA/jmSz+7SfvbtxdlZrNmRQmGlnPNGpW6DShPDRLWBNeVv8t+uVDQ6PYWZGbz9/Uaum/cvh3PLeHjpLr7adIzqMjOGkgVsyTEjmfNQ6brhF+yoQavxG4NK2wmNzyAXuc55dhUmczg1CZJKG3xtIRGOSdtKyhq8n0LzEBvlXqjGWDSVhebv6WtyROoezJcn7Je9MYfrPv2b6z79G0mSKCg3cLS4EjlZv4rl6mcIzL8Kc97N9n31ZrnQii2hnkL9lFWbmJv1A3OzfmCMKZf0wgpeWZHcyFoVpw/vMe+cgk3/eEEFo99cz893DScpMrBR+5pMBjqbq5ir+YCs4oeYv3ITXSs3AKBSaakoLqLzprfZX5IEHAchT/BuKpP9yLtYyul67V1sfO95Spe+QWRABE/+E44PBv7Egk9CIGBGre+LWtcFoY6g43AVPfoPZMmcLai1iai17hWR7lF/R5nlGrd2i6HhuXL8wsIA+VM/pNJrxgdnLGEJcUCWW/ufpbe5rCdX6hgaGUXGgf3sSpqHn8ZEwqOLCPfX0aM4gz6GvaAKYm3+S27HqpLkgYLZZESt8Rr10Kx8sPYQvpKEsewHlhW3ofie/2G2WHhpiYZevbox4b5HWlpEF7zmr+r8OZq2ZxdZhw8yaNIVde6zbGcGvWOCWbk3g0vM6xn7phEz6gYHrfx5MJfnf9jGpRlXoZdS2Hb/Ywz2PUGxpRyVtiP+IVGU5m6gMN+CuVo2+ag0rpV4ok0+XPNLNs937kbOoT0ElZQTzXHU1pdY2i55nkCow1BpogHw0xlpE+f6cmoXWUJWtiMwK7BgEs6GnKBwHSX5BkrMDU/HrAtyHE+tVmz7LU14z+5oNccxmuouCH6H5SDfBHYlJjuTlIrehOjNjFf9Q3hVCdewmWW0QVDbMeTfm9nUuurCtlaqjGYO//kNPaVBWEypCHVbwrQFdFRlsr0qkYObNmAyGtFom7aI+6ngNcM3Z/POt8891iAf5Nlfb+GSt9fRJXs5b+o+4FvdM4xRbWHJloaVprtr3h/EFG3HVPk35dV5dK86SHGu7PIohA96tT/FfpFUVcoBUxqf4bRp4/owpVSdxwLdK0x+8iXi245FHfIgVySWog55kMS2FxHTe6B8PKeHNNZXtrtHRTvkjO/oWraoWgokTOuYtJ3x7DAABo+LbtC1ydfgOGZif+8rG3cmctt7Ywj0qdtEt6VsOknVctWntQXj+CFjHNeW/MDoor/ZXCAXe9f4nudxX1+1/Pt9/+bpvD5tAu/fejW71qxowis48/n0ryO8s/oAVWVlzPv7KMNEMsYK2etNo+/LpDYlHFO/yKjgFADS9+9pSXHd8BqlrxKNv5Q52a9wy8EP2P7DGhafmEFoRSlPmj7j3YXLOZG8j/Ii98jaKqOZb/5Nw2KRWKibw0faNwETan1fbkg8AkIeKak07Smr7oHJXuxUoNb3oOsI9/zz+/IeILekkhMGuaLSssKnAUgz9GOdMQ6N74WodB3t/Q3B8vyAb4BDKWuiklDhmoGxwCjnd7/s/r6o1Sru/HAkAyY2rp7p9c/2Y/CoYM65qnV7JJxNTHrQs8J2JqBctv+bKtdjqtrAhtxENudFkV1eAqgRavcgO4EZg3oA5UlDGXL5NJIGDqWypJidq5ToXWcWLv+DlMXvMvfmaYTs/p6E8iAsxgOA/Nz/WvQEANuqHwIgecO6lhLVI15j3gnWu5ftO7Z7B23iEvANCnYZtdrIqgohVFdFocGH9JLjpJdYlSQ/881TP9M2oSPXvvy2yz7Xz/uXzUcL+GlHBs9VwFc5FwBVCKFlUd57+IbvxlSpQaWVfdufjv2ZdUXTOVg9BqHyp/v5MWxYmuJyzCopmGUbPdfjDKs6isZnhEtbbC85947Oz+HXn9S7Ddt/PkKlwf0zMqaz+wRgQwloG8KAK5SMjq2J4JiwevtUGGKBQwBoA66wmwZlVAgPgyQJNULlS6ZRw4Ap09Fr1Kx4/03S9uxqIsm9g0+0r7PVGMEJgtGm7+ZwaRSQidZ/PELtMIkKIZtE965fw29FwYweP5bxvRv+pd1ceM1I3xNLn3+CD267hvUL3N2oJEnCYNFToepnfwC0/hPQBlzOxdGZiMQ+5KQepiTXtU5qROqvrDfPJGjPj/yafSFF1VUITQwqTRwAJr0Bta4bgXrZhe6T3G85ZJyCUMkBG1qdml7nuE86r96ww+M13ClcXTmTEgrQWOMBfAJ97e0avwAGTOzeoPui4D3EdXMMdiLjHEVyqiV5WaXtglobhxAap3+uj31Uoj/9R0cR11meJL7SUMjwl9dSZTTjGxRMaX4uBRknTsPVuHIou5QXft3X6txHg806qiyyC3RaaiEFZfsAEGrX1OZC5UP4SHl+MOTgHzy9aB0gWwuqjK7eUVnFVZzz7MoG18g4Fbxa6Y+b9QABoWEUZ7t7PJjNFsCMSfKjOPIi9CF3otYlodbG82flq2ypkP3et/7yg32fKqOZ+wwLWZrWi87ZezAZUhCqYPSBV6HSRAIwTCWnWwgK93U754ir5dF/54tlO/3wcY5P7I81H3m8hh8Ln3dZD+7Sw74cGekYVWh89fQe1YEr73AtAK7gnfzvnQu4fe4IJtzj+Aq7/NGh3PqWHIUr1JGAGrW+7oHAFbdFMOXhwQy5vBsJbeXf/L7KixlT8Qtd/28FwZ16AnD0v61NKv+wF9dw4Wvr6lTod3yylpTlX7H7v51Neu6TIeGRX3n2Z1m5L0kfQ361lhBtJZbwgWgDrkAXeDWDx7Z12+/4kePEdO9FgjmDzywvkHXkEGOeWMTIRxeSfSTFbkJetS+TsdW/89VfJ5eMsTF4jXmnJqWaALoNH8H25T9hMhrctmeXVAIWEGou1m9iR3Uvl+1fh73BPNU0kjf+SfYR2Ryz9Vghncw9AYlz21Wztfx6ULnaRk8Y5IfkwtsvYOFTrqmLu50rf9q16xDMnR+OpDingg3L5T6rihuWMKjXyAT7ckBkHJAKgFojv791UR1xyoav4KXYvvacEUKg85EfaZU6DH3ILIRQ0WVwJAc2Z7v07T7Yh32bqwh2KmyvbdsRkJXQ/6kXU4WOyT8M535fX/5ZuoikwUMJinBXbI3FYLLQpeRvqsxaMnN7ExHki0qtQa1WI1Ty7/j+JTu4LudDcvNUrHp5N72+Xmbfdroxmi3cbljK0eXhbGUYVdVpIHxoE9yNQf77+NMiz7EkxvmwpUY8ywRLGls13Sg2+LH6WCI8eh8TrdsWPLoEgE4Dh2DMTGVo8R4Or0mDqd826/V4rdKPFnIUokanJ3XHNqvfsZaywgKqy8tZtG4/KiQEKkJxj1I9WHkefUaPY/vff7MprYRBiWG0URVTZW6PWhfE1qrRCI37PEG64RwAQiLd89uoVK79g9v60W9UNNtXZ1BoimvQdfkEOOz4QfGx2JS+8zHH3dGLvX+e4NjeAq594dQrPSm0bm6fO8Jju82MM3RyJzel33NwWy68sZNLW6cLe7PmezkD7Kc5C3mu7XUMU+0lrU0PzGn7mHfv/+g0YAgB4RFccM1NHufJLBYzB/7ZQNeh59WqpL/bdpwLT/xBbnUAX89yzQoqhIpLZs0m9b/tTLMcJ5d4APLS02gTl1DvvWgOqo0m2uSkoTXmsn5BMgBqnyEcNw8j2OiY5DaHdQa2A9C+TyXHd/ryX/llfE0uk/wn4acqoChgN5ep5Wv+pc29hOYfoig7i8riEnKqwujim9bs1+O1Sv/SaPkzSWUNMDm6YzvRSV34eOYNSBaLw64ldKwtuctt/1XF95Ne3YaSjkG0F98QMOkOHvmpJ+9nLUXCfZSV2O4IR7MaXyR84KQktq/OqLdfv4TdqHtMQOVUfMUvyHO91sQ+bUjso5h5zhbUNQryJPYM4OgeecTZfVgp/iHuifx0bdwnFDVa19/1vJwvmRo+m++6X0G/cweyd/0aju/bTUVxEQMnTME/xN1BYNeqFayZ9wHGykp6jxqLxWymvKgQi9mMxWzCYrYQsPUbDlYHEKAx0Pb8iQQER5BTXEF8sJbNPyxm+Tuvci6wgURsyeG+fPAutH4BCAGBoWFcPecNtHoft/M7c3jbZvauXwMS5JcbCPfXgfU95RccykU33e7xxVWTqspyqiw6ugfn8mris0xJlexlOPdUXmLvp/d3OFH0jjdzfCdUWML4xnc2S3SfU01HHgiZw/6KkUgIfi/WsvT5t3hvbQplq3+lXVlf2gV8Va88p4rXKv0tFXfw579pXHzD//hi9h0YKsopKyxAslgYMGEKbba9yOri2ai0CbUeIyhtDX3z/uBK7Xpu/LY93c3nelT4AIbAOLdgyaiOwWQeLgZgwKWez1PzQWvfrpjjWcFc/ewQMg4VsfYreWQR1r0XXSa4v1TOuyoJQ5USMq/g4PyrOnN0jzzitH3DXnxzD1Z+tpfopBAyDhXhG9iwAu/f5r9O15D5DL5xPoMvm8ruP1ay8qN3ag3eqiyVJyLXL/iMnNQj7FqzAsniKVpeYPSfxVdHj/If/mjw5f3rhjC5c1d+ePkZuYsmCo22M1F9IDzYn/n/pBJqKCIuPY3ywkJC2tVd72Dnqt84vmcXquAIMosryfPX0SZAT366PJruNfJiIhM71nkMgD2pWVSZfUg3DGRo2QqEmODWZ+KdPQht58iuaQlMxGZm1VkcL90tZVP5t2wGAL+1m0zCU/HoMfC96h/W0ZdNZdfS3L5yXqv0T5gGc/i/7YzvJFc/MhkMFBfLCjjxnAH47vdHXdnZbb8Blyaw9ddUAMblf0F3VQb7K0ZyuW49KwserfV8QW21nDjkOik15cH+zL1dDtoY7EFheyK2bycmTpLnF0La+tmVfkp6BJ4SHPe+UAmaUnBFH+yI1lZLstpPGhhJ0sDIevcNjfKjMNO1+lpGhuM5UVsjSy21KH2bIjZUVnJw0wa0eh8i4hLoNfJiVGo1KrWarxZ9R7vq4QiVP/O1bxOolk2xHb5cwFMTHY4Kal1XNPo+hHWqYtiYMbRJ7c+/JQkUZ0JpQR4h7aLY/tsyuxKvSU7qEaI6d6W6z/nM+u8qJlU/y49z7ubEgX0sfuphNi5ZQECYIz+VztePc6+8Bo3O9YX4+Nf/MgUj5VIkL2hfYy7uSj8yST7OsMs7sfG7FPxi47Ap/QV5H9r72RQ+QJ4xgS+1L3K+ejfJlacvDsZrlT7A9Lx30erkHPN/Lvqc6nI52vCn5CJU+W+49b9uzjACw3zsSr+0fAQb0bKn4hImhj5NXXkmQyPVwMmFrl/+UH++e0XO0tmue6zHPuPu6OWxXUGhJlqnSd4OAY1zd5wyuz+fPfCXS1uIJLsY+mjV9nw8tY30fQLkF870514junNXskuqUKsEEQF6qoxmPlx/mKv90llrkpVkpSXYrvSP+FzDw3u/xDZVLKzqqbo4l6LySnqrjtLOJ4ev6MfKj97hpjc/Yu38T9Dq9Gh93E09FkliuymCK0vl6/lJ/yTv/jGOW4fEExbTnqzDh+CwHMtQUVwEwM6Vy5nxwutEtI+3H+dZ4yfsIASBlsNVQzxet21i/ZyL2tO+WxgRsfWnLVmc/yZ3tpuMRVKxpvjuevs3FQ1S+kKIscDbyIk5PpUk6aUa288H3gJ6A9MkSVrqtO164Anr6vOSJM1vCsFrYjS4T8ZWVESj9/dn2NSryc3M5ODOfzjfZx/3bjnC1bhPnAaGyT+cKx+Tk5nlGJPINcoj9ENVdddL1em03PLmMD6970+X9oRe4QS3rbu4ts2bx2y2uNlnbTTE9qigYCOpjx+HdlZgDD+nUfv5BLgH96kkPSv3ZjDxnPb2ObI/F86j3yWTiO/tenzJmg5FWJ0WBs9ZA8hF2Ae9sJqg6gwuUxXZ+/9ZciuSpCLHlMTMyMncU/Iai9r2ROQWItTyvJSxsIjSgmxyyi8lWJ1NYEQbzEaT/MxLEkOvmM7AiZe7yd3pkZ8437SL5ftKKa68g2GB8/l+9XruGnkzN77xgUtfo6Gan159nmO7/iMz5YCL0q8sk69JpW3PiqKHAfDzzaSiUv6q6TPAYnfSECrRIIVv49fCx0itHmhfn/JAvzp6Nw31+kAJIdTAXOASoDswXQhR0/k3DbgBWFRj3zDgKWAwMAh4Sghx8uGhdeD8uWn7seSUDkAIQXLUEIIvvJwHYlcyKCKdjb731HksWzKzTGM3TMj2uP2V8hdDmO4EKg9mfb8Af3R69w2X3tmH4VOTGnQNnhT+pXf2pu/ohnn2KCjY8Au3ZstsgkR5qdUDefmbNfyyK4M27RMIj40jded/7Fy13K2vZE0nLBBIksQ72nd5TiMHR15jXMoG/b2sdhrVZhu7kGOSn4/3s39gv24Qyf7x+ITchkojj/nNpZV8uXYXG0pv4deix4nrO4iygnwWPHofAAW1lIhYoXuEebrXGGcoZl/lxczLmc9a/Wy+/Mf9m12r0zNu1gMAmKodB0x8+GfSK0IRqjBUGsccgk7rcM2M6+k5ieFl9/f1LJgTzgofcEuk2Bw0xPF1EJAiSdIRSZIMwDfAJOcOkiSlSpK0C9zyG48BVkmSVCBJUiGwChjbBHK7YTQ5Tq3Wye+kUksIFovEZ7+s5/GFf2Cw+HCocjhmSR6ttG+fw5WPNm7aRB/bhXYd3POWBAX4IVSCc6/oxJWPDfSw58mR0CuCYZd3qr+jgoITgyYk0mdke7oMaXhWVRvTnxxMeGwAMV0cv/M/9bNZ++9OQtpFccPr7xPRPh6zyei2r9EkOxWYJTCaJSaq/+FajRxVoC162AAAIABJREFU/pBW9kuvlmpXbMeODOAVjasHi1RhZKh5n309M7QTSYOGIoVEUhwQzhObSvl2q3uSxE6qDKos/piRbfQWNFRb/Jj38xqP57aVKz2yfQubvl/Mpu8Xc3vm55SbBAhX81GsX7F92eLn+R7HdA6la5/GZddUa5s/FqEhZ4gBnO9ourWtIZzKvo3CZHT+AcovAJ2kZuJ7f7FBfw8b9PfySc7XrCyezaK8dwA4frwten/5B9Ghb8NcHAuyqxhza09iu4Zy61vnExAsv0A0YbIL3Dmj4k7L21pBoS50vhqGX5nk5h3WEMKi/Zn2xCAuu89hasgxdmTUsdft62qtpsYzJ7Nqn+zCtmJvNpXVBo5WDeS4NfAx25DE3Kwf3PZxxswJ8nxcnROMFRa6ljqq0Z0oyGHC/Y/yRVU8z7b/kS2B9/D2d2s4nOsaGLW3YjSf5Syg2ORQyp/mLGS9/n6P59bodARHtiN153b+XvwVfy/+Ck21ARDoAsa79FVHOL7eozu7DwJtxA1wdxapi9Nhxm2ITd+TFA2dHWrQvkKI24DbAOLiTs6UYTBW2ZfVOvlHZpY0RGWtBR1UWRyKuMQsf6Z16aEiKMKXcTN7E51U+x/OmaufHoJvoI5J98qfbrE92pC8MROdr1fPiSuc5Xxf8BI3tLnJvq7R6qgsLSErxTVtgF/aRgxASMEOqiu7s7zoMQB6HMhhb8Er9n5aUUn73rEc2Znvsn83cZzV+dNc2oIkC3t0F9vXby77BLiaL7SO423Q30OH18M58pLDs2ZdyUwADlS5esZUW/ywOVHml1WzYFMas0Z2QqVScfNbH2NxdjF9LoIPsr5zU8ZFJHLuFWG0jQ+yR0F7ol1H90SQgWE+TH6gH18+trHW/ZqThmiqdMD51RsL1B9N5Nh3RI1919XsJEnSx8DHAAMGDDip7ErGKocdTqjkT7EyS1s+0f2PrWVXEKh2T03QdZT8ckjsHeG2zdmjxsbEKQY3/+YR07vQd1Rcg/2eFRTOJK54ZABLX5Lz7vxZciu2UCS9fwDH9+1m4eOeR80RxnQqyh15/x/4fDU34hhxqzDRNjHYTembJD1SpWPgpxFVYPHl2MEIe4TMHv9LiAI6iCw2l06ng88mIjRH+U73NP8cHsbQju5lQp1Zkv861X8d4ZbzOjDw+ZUkikxW7c/ih5nnolWr6PiYHGWb+tKl/FHhiDweOrkj//xwGID4nhH0GuHZ084Zm3MIwOQH+pGZUkT/sQlu/XQ+aq59fli9x2sKGqL0twBJQohE4AQwDZhR9y52fgfmOE3eXgzU7ux+Cvj5uSc4A9hQciM7KyZ63CbV8SkVmRjk1qaOc59ZV2tVhEX7u7UrKHgDbeMdX8hHqofy8Z+HiQvzY9QtM+k18mK3/lu+nU9O7hByy9LZ/PdB/K0qZqvPHczFYdqplgI5Z1Qcm348Qr+x8fQdHcfns9eyt3Isvfx+ZXfFpfQc0YbCjX+QbUwiwW8dx8suA+BESiJbUwuINyWwtfxKtpZfST//7xgauIB39x2qV+mXmNvxw/JV3HLe/3hH+y7j1Zu5P/N2Fm1uz6jukVytXo2EAC5lf6nDrNNvTLxd6fe8oOFW6ssf6o+x2kx0pxCiO3m2KIy5tadHz6nmoF6lL0mSSQhxF7ICVwPzJEnaK4R4FtgqSdIyIcRA4AcgFJgghHhGkqQekiQVCCGeQ35xADwrSVJBc1xIQI08OHEdIe0wtSp8kF0la8OTba2qSnGbVDi7qPkc/PTbCorx55VbxjOsn6vDQk5JFUVViag00Rw/kUOcz1bykf3aPSXTVGvkwj42LFZ1VGDNQ9VvZBRfrpO/xuNEgX1y0M8nk3d+28Fgp1ib7eWXE6VNpufxBcAQjxO7N702nHkPyPWrV+sfwmS+lfHqzQC8ofuQy3+O5JVlcez1kb2NLJbX3Y4x+ubuhEUFNMr2XpueiUwMIvtoCUMnd6R9t/prJDQVDZoqliRpuSRJnSVJ6ihJ0gvWticlSVpmXd4iSVKsJEn+kiSFS5LUw2nfeZIkdbL++7x5LgMknzB0Qdej8RsNQK9z688GqPWQqdCZrkPb4Ruk48Jr5GpT8T3qHkEoKHgjUx8dYF/+Vf8YG/T3sGZbslu/BxZvpZOQJ3JHqP9jYJXDPPpT4bP4iIblis8wyN53Wq3DZJpjdHJ7NlXwZMWLbvv9WvQ4oapqckureX3pWpdtUx7sj2+AjhBNOgCVlkA6Pf4bucZEvs57G4PFhyW6Z7lPYw8xorTKSIDW1ZLdeWC7Rvnh18X4u/oweXY/+o2Jt8c1nA68Jp++RQKVOhyNXh4Z6Nt6trd1bKCXDsBF13fnpleG0314NHd+OPK0uFMpKLQ22sY7TJ2FpmjKzaF03PeuW7+LTnyA1loeVIWFhdmOKPIThl4I4SkHjwNbfipbfivh40eH3vII+FCVo0Sk2mjG4Os5pcSGlBgGv7CSTT6zXNqjrBOqPoGyKXZezpc8pZnPkvw3KDDF8UnO1xikAG7R/MaGkhvYVDqDjLxCtKKyTplPBR9/bYMdSJoSr9FiFrPr96On1MYAY//XixteOpfrXzw9kyYKCt5AWDs5+HFR3ly+yJ1He3O6W58+ln0Um2TX5W3lU+hZ6RqHWWkJQaORXwrBbdzTJgyoMcEpgGFTXTNOaVRVYII0g+dEadEWM0d8rpHPoc4gVLeXm151RNNnFTlkulHzu8u+28quoMriz86KSWwrn0rKsWNW276Faf83yOP5zkS8RunXnATxDdRx82uuBaQvvkW2OvmH6AkIrTstq4KCgoNz+riqiniTu2m0jzhCqVk2q1ZaQmmv3+PWx2Tdz1NqErVWha9TigaNXu0hfXglfhZBSkpXj3KGU4Ukweqiuyk2RxOhynPxrIvv6TDRVphdbe07KyayoeRm+3rh7tVIkiDYN43wmKYx6bQGvEbpOxcosb3ZnV8EMz+4kKQB9WcZVFBQcMc/yTXHzuEq1y9lSZLYWTGBQrPDrJprTHQ7TmIPfybecw6jb+rhtg3Az6r0+/p/j0ol0OhcVVSwOo8KSyi9tNtd2kfdKM8DqDGyp+ISu2++Ot51hH7JbQ6T0+e5X7id39mnPz09A0lSYTCfXCLF1orXKH1nnN/sQy7rwJDLOigJyxQUToGa7s37Ki/GYE19cjSvnKIKIwcrz3fpc7Ra9tzp2M8xj9Z/bALtu4Xh4+/ZPbHULPe1nc35ue0zqj3B6nwKTTH4qeWyjtfNGcb4WX3oMliOAdhZMZE/S2+z75N8wNWVW61VER24o0HXfKdqFTrMRIpmcThsMbxS6TvTf2yCx2AIBQWFhuPJpfDaTzeSXVLFha+tY/xb68g1ec4Rdf40h13eJ7juFCUGSZ5o3V4+xd52wYwuDJqQyPArkjCF96RaCqTSIk+ABob51OlV5yklShvfhk3OnjD0wIIaFd5VpMjrlb6CgsKpo1IJ7vxwJBHtHYGICcd/ZOScX0j1mcF9Ve7ePDac7fI+JxG53vP8GAZeKpuK0rNkJb67YlyD9p082z2g0hhzgX05sY97NL6NInMMFklNqda7XLUVpa+goNBgdD4Os8zL2k94X/s2AFeo/6xtlxr71x0bY3O+0HpIUw6evzhqY/jUJI/Hycp2XMMFM7ow6oZuHvf/r3wyReZYcssalzSttaMofQUFhQbjXOvZJOm4QL0LAIvkqkpG3didq54YZI+4vW7OMC69s3e9c2s6X1lJO6d/cOa8qxxBWhqVwWVbRHuHh03SwEh6X+g5VseWMyeqYzD+wXq6DIli6OT6a+V6C0pqSAUFhQbTvmsYF1xYxfq1PhysPI8k379YmPs+ST6OEosqtbBPrNoIDPNxST5WGyq1iisfG0hQG8+5tILCHe3RnVzjACbd25fPZstyXHyzZ+8ggB7nReMbqCWxj2OCudeIWLb8cgSTUUIlTFgkh2rsPNi7vP4Upa+goNAojGE9gMOsLbmLdEMvyi3h7KiQk6El9Q3h4v+dWsm/uupROKcryMtyzefv469lxtODKcmvqrmb6zGEoGNf1zQtWr2a8Xf14cc3dxAZH4B/SAkpO+T5B5WXef4pSl9BQaGROJTgoaoLXLYERtaexLCp6TrUvWJVaDt/QtudXNZbrTUvvtGsITTcH5BfKv0vSThZEVslik1fQUGhUdSVv6p912Ypge3CpTN707FfWwZP7NCkx7XFDgRH+BLeVn55hWuO1prS5UxFGekrKCg0iqAIz/Z2gLDo5k9XkNA7ggQPhY9OlaAIXybM6kO7DsHkHi8F8qjy87761F430g+uZQJIQUGh6agtR7x7rpwzi7ge4eh8NWisadfLS7wrMAu8TOnf9vYFTH9ycEuLoaDg9Vz+UH+Py95CQzyNzlS8yrxTW0CHgoJC0zN+Vh8KMspp1yGYoAgfVGrvGUP6Bem49vmh+Ifo6+98hiEkT3XMWpABAwZIW7dubfR+kiSR/dxzBE+ejG+vXvXvoKCg0GRYLLIeUZ3GClAKrgghtkmSNKC+fl7zaraUlVG46GvSbrixpUVRUDjrUKmEovDPELxG6UtG2adW6M7siSQFBQWF5sRrlL5QyZeii4trYUkUnKnY/h+VOxqWv1xBQaH58RqlrwqWXcj8hw+vp6fC6eTYjBmkTpveoL4FXy0guZ/3eYIoKLQmvMZ7RwgBQoBkaWlRFKxYqurOgVKT7BdeAEAyGBQznYJCM+E1I30AhECyKEq/tZD/yaf25eP/u53cd99r0H6WiormEklB4azHu5S+SgWtywP1rCXvww/JmzvXvl62fr3LesH8+VT89x+A24vaUtmwcnYKCgqNx7uUvhCgjPRbBblvve2xvXzTZkyFhWS/+BLHps/AXFzMkYkTSb/nXnufM3mkL0kS+7t2I+/jT1paFAUFj3iV0per8ihD/Zbk0MiRFHz5Za3b0264gaKlS+3rppwcDCmHKf39d3vbmar0Tbm5lP+9EYDcN95oYWkUFDzjNRO5AKhUik3/NGPMyUEdEoJKp8N44gSmjEyy57xY5z65rzsU4pEJE922W8rPTKWfes01GI+ltbQYCgp14lUjfdm8o4z0Tycp51/AsWnTKd+0mZSLRjXJMYt//LHRnj+tAUXhK5wJeJXSF0JAK8sl5M3Yvqqq9u0j7YYbPPZp/+mnHtvrovjHHzlwTl8ADGlp7O/ajf1du9Ha8kQ1JZLBUH8nBYUmwKuUvqWigpKVv9ffUaFJMKQeq7ePps3JF7tIuWgUhy8eY183FxS4bC9YuJD9Xbud8d4++7t2I7l3Hwq+/KqlRVE4C/AqpQ9gyshsaRHOGo6MG+fWpg51lMuLfOIJNG3buvUB6Ja832U55u23af/xRy59jCdOuK5nZbmsZz/3PABFS79rnOBA5e49GLNzGr1f6R9ryf/iC4/bgiZOcFk35sjHL/7pJ8ylpS7bLFVVSEYjpsJCe1v2nDmUrPjdq79oFFoer1P6Cs1LdUqK3dziCXNhIREzZxL3xReEXXM16pAQ+7bYD96XF7RyLdK2Dz1ExN2zAAgaczH+w4bVee7UK6ZS+M037O/R0+X8uW++2ejrSJ06lcMXX9yofSSTifSZM8l56WUOXzKO6pQU+7bK3Xsw57t+iaScfwEly5eT8fAjZD7xfy7bDpzTl2PXXc+hoa7XfOLeeynfsKGRV6Og0HC8UulLZu8rcdaUnOz9sZSXc2T8hHr7tbl7Fv5D5ApmshutjO8558gL1oyo4TfdSJuZM+3bhUZDzNtvE/nYo7UILpH19DNQQ35LRQWGtIZPotpG0lJ1tdu24zPvJO8Tzz72hy4YYV82HD3K8Ttk2SWTidSpUyn/+2+3fU7cPxuA0lWr3LZVWoPT3Np37677AhQUTgGvVPpnuo23OSn+6SeSrSPlmuaT+sh++RWP7V337bUv67t5/gIAUIeE4Nu/PzFvew7cAnnEH3bddS5tgZeMrVe29LvvqbePDcORIx7bU6++hrI//nBxKa1KTran7Tbn57v0Nx4/TupV08h46GGX9uBJ7m6ouvh4Do8Zy5EJE+qNQ7AUlzToOhQUTgavVPqKB0/tOI9ii5cvb9S+JStWeGwXKpXdHh/58ENu2xOX/UTUnDkIIUhYuICgMfWbVTRt2tiX2z3+eL39q5OTsRgMZM2Zg8XDCN6Z4p9/ti8729Qrt21z6VexdStHL5tMcq/elP31l8djVe7cSYnTfdS2b0/ojBlu/YROh+HYMaoPpZD3wYf2dnVoKPouXVz6mgoLau6uoNBkKEr/LEMdFGxfrj5wsFH7WkpqH4EGnH8+nTdvwn/IELdtPp07EzJlcqPOFb9ooX1ZHRbmsY++c2d08fH29YzZD1D45Vf2eAFzWbmLv7+lspIDAweR/6Fjwrj4x58Azy6Tx6651r58/NbbGiS3VFWFb58+JCz+xqW9+sABh9ydOtqXzYWFGFJT6fTHGnubOiAQyWKh6McfkUymBp1XQaGheKXSr9q7t/5OZyjGnByyX3315OctnF6IJb/8clKHCBh1EfquXd3a1cHBHnqfHLr27em48ndi33vXXiDHmQ4/L6PDsp/o+PsKuznFZjc35+Wxv2s3Dg4YwJGJkwAoWbmSA337YanhRZPz8ssAlG/Z4tJ+svfXlJsLgG+fPrX2KfnN9YtJaDRoo6PplrwfbXwc5qIiSn7+mcxHHiX/889PSg4FhdrwSqXf0pWazGVlHB53KZW79zT5sbP+70kKPptH6Zo19XeuKVdpqdvkoaW8nKoDB91cCj2h794Nv6FDaP/eeyT+8D0AuoSERsvRUHRxcQSOkkftUXPmoA4NJXHZT8S8+w76pCRHR5W61mMY09JIn3U3J+qw+Zdv2uzyBQRgLiqqtX/7zz51GZnXRpdtW4m4exZB4y5xaS9bt85lPXT6NPuyOiSEkpUrqT5yVJbtrw2kTpuOKS+v3vMpKDSEBil9IcRYIcQBIUSKEOIRD9v1QojF1u2bhRAJ1natEGK+EGK3EGK/EKIWt4wmRrTsu6xiyxYMR46Q+967TX7ssvXrAepUYrVRuOhrt7bqI0c4OmkSRy+bTPEvv9a6ryE1lep9+zFblY8QgvhFC4lfuKDRcpwMIVMm0/mfjfh07kzQ6NEu2zSRnmMBbHjynEn660/7ctoNN9iLtgSOlSeNqw8dQuuh9GbYTTcRcO65aNq1q1dmlb8/bWbOJKae5GvVqan2ZbV/AJhM5H8km6Aq/v2Xyh07KPr223rPp6DQEOrVjkIINTAXuAToDkwXQnSv0e1moFCSpE7Am8DL1vapgF6SpF5Af+B/thdCc6Lv0rm5T1EnktWOrNL7uLTnvvMOmc8802TnMddhY3emYvt2sl96mcqdO922pU69EpADoTIeeIBKD6ax6kOHODz2Euuywzfdr18/NOHhJyN6k9L23nvtk6dCr6+3f9ScOS4TxQBHJ8lmINv1pN1wI0arG2jbBx90nOv+++TzeDA51UXS3xvQdeqIn4c5j1CncpI2T6Ga5L79TqPOp6BQGw355Q4CUiRJOiJJkgH4BphUo88kYL51eSlwkXDkOfYXQmgAX8AANL8/Wgtn2jRmypGjKl9XpZ/3/gcUff2Np10ajD6pk325wBoZai4qIv/zL2qN5Dx29TUUfPEFZX/8AUCn9etJ+G6px74ly36mat8+in74kZLfV8pyf/TxKcl8Omj35P/Rde8euu6s37Rnm1SOftXdBVUbHeXW5tu3r31ZaByJabv8t52YN163r0e/+grtanmpa8LD6fjLL8R/4W6j13d2mKpqU/ogm+KaAmN2jktgmcLZRUNSK8cAx53W04HBtfWRJMkkhCgGwpFfAJOATMAPuE+SpGb3R2vp5FW578llASWTYzLQ+WGuPnIUfYfEkzq2JjraPto2WSNAM598itKVK/Hre44jAMqKpbrazZtJG9kWofb8vi+YP5+C+fPt635/bzjpCd/TjVDXbtuPeulFir5d6hIhHDR+PBkP1nAxrWEabPvgA/j160vwFZfj13+AyzaVry9B48bhe845GLOy8OvXr1Hyxrz1JoXfLEbjlLpCn9Sp1jkpU2EhOn//Rp3DEykXXAC4psJQOHtoyEhfeGirOaSsrc8gwAxEA4nAbCFEB7cTCHGbEGKrEGJrrtX74VRoaTc3/8HyO1HnpNir9u2zL6ffcUejjle5YweWqioyHn6E8vV/oo2Xbc1FS5Ygmc2UrpRH5KnTpmNIT7dfv2Q2U7l9u8djqhtolsl84v9cTBLht97SKNlbC9p2USQsXED7uY46vUIIAke7poNW+fm6rAdPtn4VPP88IZMv83zs6OhGKfyOK36j3dNPETR2LPFffI6wpqUAiLj9dlmOwECinn/OZb/Do0aTft99DT6PgoInGqL004H2TuuxQEZtfaymnGCgAJgBrJAkyShJUg7wNzCgxr5IkvSxJEkDJEka0KaGrfVkkAy1fyI3B3kffECV1Q9bkiTK1q51kyPr+Rfsy4ZjcnbKhrycjNk5pE6bzvE77qD4J9mn3J63XZLIefU1l/6HR40m86mnZLk++oi0G29y2R5w0UWArPACLrwQgK7799Hhl58Ju/FGt/OXrV2LOigITdu2RL/+Gm1nz65X5pYmYcliol56kc5bHW6YtZlNYl5/nTb3yqUafXr1ImTqVDpv3QrI90pTS4zAqaBLSCB02jSP27QxMXRL3k+XLf8SYB2RO1P6m+cAOYDCr7+u0+sI3OsRKzQN5qIie4K91k5DlP4WIEkIkSiE0AHTgGU1+iwDrrcuXwH8IckG5jRgpJDxB4YAyU0jeu3UZRf1hKWqiuxXXsVc1nibqWQwkPv2O6ReJT/EZU6ulDYzU/GyZVTVyKdS/MuvJPfs5ZIzxmIwYC4rc5WtQpap4p9NHs/vyXWz+DvZnbJi4z9u2/SJCfbl2Pfn0nX/PoQQ6Dt1IuC84R7PUbZ2LZbycoIvvdTj9taGb+/ehFx2GeqAAMJvvRXAZTTtjNDpiLj9f3T5bzuJ3y5BqNWoA/zpsnMHse/Uni7idKCOsKal9mC2MqSlkfvue/Z5nJIVK8h65lkODhnq0s9SXu4yF2CpcKQocZ4DkkwmLEpO/5Pm4JChpJx/wRmh+OtV+pIkmYC7gN+B/cASSZL2CiGeFULYkox8BoQLIVKA+wGbW+dcIADYg/zy+FySpF1NfA3uMjfQvFP21waMWVkULf2OgnnzODhgQK3ZIz1RuHgJyb3lIBypqoqqAwddvCxsSr/Cg4kl44EHAFySdKVddz0HBwyk4Muv2N+1G4fHjPVop27vlErBePy423YbFdYRqzOSU2UxIYRLQjT/YcMIGjeO4MunuO5jNDbZJOLpps3ds4h9fy5+gwfV2U/l62rWUen1dc4RnA6EEMS8+w4df3NNl5F28y2kXn01eXPnYrC6e3qKszAXF3Og/wAOWOcizGXlLr8358HRgf4DONC7j5K36hTJfOT0eKWfCqK15e4eMGCAtNWDsmoI5f/8Q9qNN6FP6kTismUuCs0T+7t2Q90mgvCbbybnpZddttU2yWUuKSHjsceIeeMNDvR2j7psc9995L75JsLPj+BLLyX85pvs7o610XXPboRG4/GF03H1ag6PcrU7x3+9CHVwMEfGndzIu6ETeOUbN5J2080ABE+ZQvScF+rZQ6G5KN+0ibQb3M1vAGE330TBZ/Ps613+245UXe026kertWc4BWj37DNkPfmUSxeVvz9dtp3c83e2UrlnL6lXXGFf75a8H0mS6tU/TY0QYpskSW7m85p4VUSur3UyrfpQChkPP1xnX9vLzpyb5+azXRdHJ0+hbPUajwofHKMndUAARd9+66bwO29yN7kk9+xV6/nMee4T25ayMvQdOqCNibG31cz1AuDTo4djuzW4x/+C82s9V010HR3uoSofnzp6KjQ3/kOGEP3ySx63OSt8gLINGzzb9muYPWsqfGg6t1BvJmvOHNLvkeeBqvbvd1H4IMfjJHfrTtkG91TbrQGvUvrOPtQly36uo6ec6Mq+7CHEPecN98Ic5Zs215uOOM/qrmnyYNvr9McaF5dBZ2oLs091CtyxYfMOcg7f1yUk2IuT2LDlIEr6ZyO+vXrS4ZefiXm97uhQZzShDlmrDzYuOZtC01Nb4rmanJh1t5K2oYkxFxfbB3SFX35F6e+/U330KKWrVrv1zXv/AwCO3+LwdCtduxZjZuuo6uddSr8RNthDw861L2e/6D6Cyv9YDkgy5eeT/cqrSCZTrcW/G4o2OhqAto/IXyGaKEcg0KHh5zXoGLFz37OnDFCHOpSAyt8f3+41A6VlbH7g+k6dUAc03M9b6HRgfZFG3HVXg/dTaB5sL/uG4Jwh1Oad1FAyHn+82d2eM//vSTIedsvoYseUn0/BgoWkjBnT4nE3kiRxcPAQMmqk+C76ZjHqCCfXZ4172JOluhpJkki/YyZHrdHv5qIil5TeAMbMTJL79adqf/PHTniV0q8PS3V1vakLnEfikiSR8eCDFMybR/HPdQcoBV9xucu68PNzWXfOuhh23XW0//gj4j77rKGi23F249NERjrOp9EQ++EHhF57rafdTpquO/4j6Z+N9kpYCi2H0OnosmsnCUs9R1N7Injy5AbHVtjyCRV/973sWZZ+olnq9VYfOkTRt99S/NNPmAo8x2qmjLyI7Oefx3gsrcU9YmxpVWpaDwrmzyf7WUcshXN0to2KzZuxFBcDskWh7K+/ODhkqFuZzLL165EqKjg6eYrbMZoar1b6FU7pciVJ4kCfczg4aHCtRTZiP3ifTuvX2Yt7Zz35FOVWt8fMR+ueldc72b8BOlizUNpwtrkLlYqA889H3yGRiFmuI2hb5am4L+cTes01jvakTkTcPcvFhKXv6BrnpgkNlSNIhzqCqcJudvXTbyxCo3GJGFVoWVQ6Hb49exD56CNv5HnoAAAQGklEQVTEzn2POKe0Dp3/3UzHVStd+gddInuAaTyklwDQJyXRceXvdFy9mog7Z7psOzxqFMemz2hyxV992FG5zJiRiaW62k2xO5eylKweRYbU1JMyW0mSRPm//570dZRv3mxfNtUSPBp+660EOiUCtA3ICpcsIe1mx0vXuS6DcxZec42Rf3PSkDQMZyx5H3xA3MCBVB85itA6LjX1iqke+wdag5U6/LyMQ8PP85jZ0Ld/f7lKU40JL78BrpPmuvh4Yj94n/Q7XB+kmkTccQd57zqiREOmXkGYNXmY/6BBFC6Qs1gmfved3axjQxsVRbtnn3H5FFfpdMR//rn8WWk0og4IqPP8CmcmYddfb1/2HzYUc1Ex6qAg1EFBLv1sv5lOa9ZQuX07Pj17Un0ohcptW8l+8SXiFy6w71PtwaGhcscOihYvrjWY7GQo/MYxAHKeBI2aM4eQKZPdyknavs5tThGNTR9RumIFJ+67n4ARI2j/4QeNljf9dkcE/aHzPDtCRMy8w8VbJ+qFFzh+yy2Ura49BXfq1KnEL1rIsRlX29t8+vRutHyNxatH+rbP0yPjxnF4tKNEX/WhQwAEjh6NzqmKkQ2NLSjGA5rwcCKttr2w6x21XIVOa68Va/OaCbzwQto9/TRxTrlsaiJUKmKtKZjbPjCbkMmeK0zVVPg2Qq+80v6ScEal1ysK/ywhbt48Er//zr6e9M9G+7Lty1AIgV///qj0enx79iDs+uvplrzf5SXhKQIYoOi77z22N4SqgwepPirXBjCXlJDxxBNUbPIcaJj52GPkffwJBV9+5dJuzMioNdK4at++WoMxyzduJOf11zGkybEsZevWYUhPb5T8Oa+7m2wAqOGOaYvzsJmHbUGV9eGs8AHiPv20UfKdDF490jempbl8JtYkdMZ0fHr14uCAgR4zLtYkcPQoYt5+S05hMOICNGFhlPy+ElNWFiofH4RKReIP36N1mqANnXZV/ccdNarW0Uv8ooUYjqV53Kag4InaPMTqQwhB7PtzSZ95p0t71e7dWKqrUTUgbbVkNlO5cxd+/eTMpEetlcu6Je/n4KD654WMx4+7fWEbjh/3aNev2r+fo1MuJ/Saa2j3hHsdZVuMiTOHR422R6E3hPxPPCvhoAnj7Tb+9p84stAmfreU7NdeI2C45+j2+lCdhoGaV4/0gTpnw3UJCagDAuiWvJ/gCRNctkW//ppb/9BrrrX/WGw5WWLeeB3/YcPsnjk+3bqd9EPnCb9+/WpN9KWg4AkhBF22baXdU0/i279/o/YNHDkS//PcPckO9DmH0j/W1rt//rx5HJsxg/LN/9brAWQrWOOM0Ovd5rlM2TnkvuOIdLfZ9W2TnoULFlCwaFG9stlwy6x6EjjXl3ZW1NqYGGLffBOVnx9x82p31LDpi5qcjoAur1f6x6a7mz5sOI/Ia+Ipz4zzvIANv379iJv3Wa25XRQUWgKVvz+h06eflBKJ++RjumzfRtddrkV30mfWPT8FYLBO0hrT0+sN9Aq/yRFh7DdwICArcONx2QQTfPkU9F27YsrOxq+f4+WVPedFt2NlP/tcgxW/c6pwSZLcJocPDj+P43fKLx5fp+ypzsV0wp0cJPyc6i044z9smMtEu+M4D9Dxd/fEeZGP1u7C2pR4rdKPdUqhayNk6lRi358LNKy2a/yihUS/9hpJ/2wk8rFHG50vXUHhTEXl54fQ6ei6173Oc20j+KrkZIp//FFeUatclP6J++936+/buzcdli+n87+bif/qS3u77RiRjzxCdXIyZevWudR/0HfrijGjZqJfWfHXFQDlPNdh8+TJeOBBDg0/j9x33kWSJCp375ZdK22JDK39ol9+ya7oA0aMIHjiRLol7693Utlv8GB0HToQfustdN27hy7bthJ+881ug8T4rxe5TM43J15n0/cbPJjqQ4fcJmM7/7vZPmnV0Nl/v379wKrnw667ru7OCgpeiFCrSfz+O45OkeNQSlat4sSsu4mb9xn+w1x9zU/MfsC+bEw/QdGJH+zrJct/83j8uooJOQdbOgdQSlXVLqnKnSn8+ht7SUtnbHZ8/wvOp3z9nxybNp2Exd9Q8qtcFzrv/fdRBQaS87IjB5dkMCCZTPifdx7B1nKaXffs9pj1tNZrEIKOyx21p4VTEZzIRx8h+8WXiPt8Xq1fC82B14304+d/QeeNf+PTsychV15pb1cFBragVAoKZy4+3bvbU0CcmHU3AAULFrr1Mxw+bF/Oe++9On3qPRWdT/zpR8f22FjZLv6lq+ebKiAAU34euvh4j8e1VFYiWSwcHj9elr1XL+IXLbSbucr//AuAyp07KfvrL5d9nRU+gDErC8lkcomNERpNk9ndbR5U/kOH1t+5CfE6pW9DqNVEPfsMEXfPIvrVV097xjsFBW8i8rHHXNZt9ZbrwlM9aG1MDCFXXknMG+45oHy6dLFHBQddIvvk1yz/qYmIoDr5gH09ZKrs55/w7RIACr/6iuTuPTCkyC8gY0aGi1nW2W7uHCjliYotW8FkdFH63oB3XY0H2jRg8klBQaFuVHXkbJIkya0OszOBo0dTumoVADFvv41vzx619tXGxmDKygKVPB5V1YhPUYeEULljh72OcNRzz9Hu2WdrHdSZ8/Nd1sOuu46ydevskfZ1kWmNx7FU1e72fSbitSN9BQWFpsNTsrfcd97FlJ9PcrfupN81q9Z9Y950jOo1betOY165dRsA+R99ZG8LHDMGtFq67t/nsWh8XV/xSX/96damb0ShJKi7UNGZiKL0FRQU6kXl60vX/fsIcnJlznv/fQ6dKwch2cw9YTfdRNBE15gXZ/OIJjycurDVaVY79Yt9+y267d7lUtcZXJMYeiLu83kea2UULVliX+68dStxn89zlKb0gM2d1FtQlL6CgkKDEEIQ9cLzHoOqbOji2hPzyiskLFlMpz/X2z3lOq78nZi33qw3/Xnkww/R7qknXdJKOOP81WDIcK1t0f6jD+3LHVevrnWC1Jb8MH7hAtQB/vgPHUoHp0lk//PPo+0Ds+3rzi8ab8DrbfoKCgpNh8rHB/8hQyhd4R5cBFZTDLIPvjO6uDh0Hjx2PBE63b1wkPP5bbSdPdtlW8AFFxD/1ZdUHTiILjam5q529B07urlta8LDSfjma1KnTUdotC61LpxzbHkDitJXUFBoFCFTJpP19NMet52ONNyd/liDMTvbo2+738CBJ22O8enZk7AbbyT06qsxZVqDv1SqRhVnOhNQzDsKCgqNQuh0dEveT8CIEQB02ek+udqcaKOjmyWYSWg0RD78ELrYGEdcj8XS5OdpaZSRvoKCwkkR+/5cEEKOOl3xm1u64TMZfZcuqENCiHpxTkuL0uQoSl9BQeGkECqHoaAhuazOJIQQdN5Uvy//mYhi3lFQUFA4i1CUvoKCgsJZhKL0FRQUFM4iFKWvoKCgcBahKH0FBQWFswhF6SsoKCicRShKX0FBQeEsQlH6CgoKCmcRQqqj+EFLIITIBY6dwiEigNrrtLU8rV0+aP0ytnb5QJGxKWjt8kHrkjFekqS6CxbQCpX+qSKE2CpJ0oCWlqM2Wrt80PplbO3ygSJjU9Da5YMzQ8aaKOYdBQUFhbMIRekrKCgonEV4o9L/uKUFqIfWLh+0fhlbu3ygyNgUtHb54MyQ0QWvs+krKCgoKNSON470FRQUFBRqwWuUvhBirBDigBAiRQjxyGk8b3shxFohxH4hxF4hxD3W9jAhxCohxCHr/6HWdiGEeMcq5y4hRD+nY11v7X9ICHF9M8iqFkL8J4T4xbqeKITYbD3fYiGEztqut66nWLcnOB3jUWv7ASHEmCaWL0QIsVQIkWy9n0Nb030UQtxn/RvvEUJ8LYTwael7KISYJ4TIEULscWprsnsmhOgvhNht3ecdIRpfKaUWGV+1/p13CSF+EEKEOG3zeH9qe8Zr+xucinxO2x4QQkhCiAjreovcwyZFkqQz/h+gBg4DHQAdsBPofprOHQX0sy4HAgeB7sArwCPW9keAl63L44DfAAEMATZb28OAI9b/Q63LoU0s6/3AIuAX6/oSYJp1+UPgDuvyTOBD6/I0YLF1ubv13uqBROs9VzehfPOBW6zLOiCktdxHIAY4Cvg63bsbWvoeAucD/YA9Tm1Nds+Af4Gh1n1+Ay5pIhkvBjTW5ZedZPR4f6jjGa/tb3Aq8lnb2wO/I8cNRbTkPWzKfy124ia9CPmG/u60/ijwaAvJ8hMwGjgARFnbooAD1uWPgOlO/Q9Yt08HPnJqd+nXBHLFAmuAkcAv1h9gntODZ7+H1h/6UOuyxtpP1Lyvzv2aQL4gZKUqarS3ivuIrPSPWx9qjfUejmkN9xBIwFWhNsk9s25Ldmp36XcqMtbYNhlYaF32eH+o5Rmv63d8qvIBS4E+QCoOpd9i97Cp/nmLecf2QNpIt7adVqyf8H2BzUCkJEmZANb/21q71SZrc1/DW8BDgK3SczhQJEmSycP57LJYtxdb+zenjB2AXOBzIZugPhVC+NNK7qMkSSeA14A0IBP5nmyjdd1DG011z2Ksy80pK8BNyCPgk5Gxrt/xSSOEmAickCRpZ41NrfUeNhhvUfqebGSn1S1JCBEAfAfcK0lSSV1dPbRJdbQ3hWzjgRxJkrY1QI66tjXnfdYgf2J/IElSX6Ac2TRRG6dVRqtdfBKyySEa8AcuqeNcLXEP66OxMjW7rEKIxwETsNDW1EhZmlxGIYQf8DjwpKfNjZSjxXVTTbxF6acj299sxAIZp+vkQggtssJfKEnS99bmbCFElHV7FJBTj6zNeQ3nAhOFEKnAN8gmnreAECGExsP57LJYtwcDBc0sYzqQLknSZuv6UuSXQGu5j6OAo5Ik5UqSZAS+B4bRuu6hjaa6Z+nW5WaR1TrZOR64WrLaPk5Cxjxq/xucLB2RX+47rc9MLLBdCNHuJORr1nt4UrSkbamp/iGPEo8g/6Fskzw9TtO5BfAl8FaN9ldxnUx7xbp8Ka4TQf9a28OQbdqh1n9HgbBmkHcEjoncb3GdAJtpXb4T10nIJdblHrhOsh2haSdy/wK6WJeftt7DVnEfgcHAXsDPes75wKzWcA9xt+k32T0Dtlj72iYhxzWRjGOBfUCbGv083h/qeMZr+xucinw1tqXisOm32D1ssuesJU/epBciz6ofRJ7hf/w0nnc48ufaLmCH9d84ZFvjGuCQ9X/bD0AAc61y7gYGOB3rJiDF+u/GZpJ3BA6l3wHZsyDF+uDore0+1vUU6/YOTvs/bpX9AE3shQCcA2y13ssfrQ9Pq7mPwDNAMrAH+MqqmFr0HgJfI88xGJFHlTc35T0DBliv9zDwHjUm2k9BxhRkG7jtmfmwvvtDLc94bX+DU5GvxvZUHEq/Re5hU/5TInIVFBQUziK8xaavoKCgoNAAFKWvoKCgcBahKH0FBQWFswhF6SsoKCicRShKX0FBQeEsQlH6CgoKCmcRitJXUFBQOItQlL6CgoLCWcT/A9PGDKEXmJ6wAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.prices.apply(np.median).plot()\n", + "rdf.prices.apply(np.mean).plot()\n", + "rdf.wt_mean_price.plot()\n", + "rdf.h_wt_mean_price.plot()\n", + "rdf.w_wt_mean_price.plot()\n", + "rdf.spot_price.plot()\n", + "plt.legend(['median','mean','tok wt mean','hold wt mean','wealth wt mean', 'spot'])" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.prices.apply(np.min).plot(logy=True)\n", + "rdf.prices.apply(np.median).plot(logy=True)\n", + "rdf.prices.apply(np.mean).plot(logy=True)\n", + "rdf.wt_mean_price.plot(logy=True)\n", + "rdf.h_wt_mean_price.plot(logy=True)\n", + "rdf.w_wt_mean_price.plot(logy=True)\n", + "rdf.prices.apply(np.max).plot(logy=True)\n", + "rdf.spot_price.plot(logy=True)\n", + "plt.legend(['min', 'median','mean','tok wt mean','hold wt mean','wealth wt mean','max', 'spot'])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['median_price']=rdf.prices.apply(np.median)\n", + "rdf['mean_price']=rdf.prices.apply(np.mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=1)\n", + "(-np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=.5)\n", + "plt.legend(['over','under'])" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['est_err'] = rdf.spot_price - rdf.wt_mean_price\n", + "rdf['sq_est_err'] = rdf['est_err']**2" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#head T\n", + "T = 50\n", + "rdf.head(T).prices.apply(np.min).plot()\n", + "rdf.head(T).prices.apply(np.median).plot()\n", + "rdf.head(T).prices.apply(np.mean).plot()\n", + "rdf.head(T).wt_mean_price.plot()\n", + "rdf.head(T).h_wt_mean_price.plot()\n", + "rdf.head(T).w_wt_mean_price.plot()\n", + "rdf.head(T).prices.apply(np.max).plot()\n", + "rdf.head(T).spot_price.plot()\n", + "plt.legend(['min', 'median','mean','tok wt mean','hold wt mean','wealth wt mean','max', 'spot'])" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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40, + "metadata": {}, + "outputs": [], + "source": [ + "sdf = pd.DataFrame(states)\n", + "tdf = pd.DataFrame(transactions).drop('posterior', axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "ind=tdf[tdf.amt==0].index\n", + "tdf.drop(ind, inplace=True)\n", + "sdf.drop(ind, inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "txdf = sdf.merge(tdf, right_index=True, left_index=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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FPRSah_as_aagentamtmechpbar
050425.4454310.09757247601.459942975719.836247412613.8169790.000000412.428016e+04burn0.093847
150497.5169870.09608346160.028826960833.271965714457.7258330.000000711.488656e+04burn0.091986
250594.1432330.09405144227.503901940505.224874752549.2623920.000000752.032805e+04burn0.090314
350691.8805820.09194942272.756916919486.34482962861.9646250.00000062.101888e+04burn0.088350
450691.8805820.09194942272.756916919486.344829621031.0642285246.851043621.251688e-08burn0.088356
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" + ], + "text/plain": [ + " F P R S a h_a \\\n", + "0 50425.445431 0.097572 47601.459942 975719.836247 41 2613.816979 \n", + "1 50497.516987 0.096083 46160.028826 960833.271965 71 4457.725833 \n", + "2 50594.143233 0.094051 44227.503901 940505.224874 75 2549.262392 \n", + "3 50691.880582 0.091949 42272.756916 919486.344829 6 2861.964625 \n", + "4 50691.880582 0.091949 42272.756916 919486.344829 62 1031.064228 \n", + "\n", + " s_a agent amt mech pbar \n", + "0 0.000000 41 2.428016e+04 burn 0.093847 \n", + "1 0.000000 71 1.488656e+04 burn 0.091986 \n", + "2 0.000000 75 2.032805e+04 burn 0.090314 \n", + "3 0.000000 6 2.101888e+04 burn 0.088350 \n", + "4 5246.851043 62 1.251688e-08 burn 0.088356 " + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "txdf.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "emas = ['P', 'pbar']\n", + "for com in [2,4,8,16]:\n", + " k = 'pbar_ewma'+str(com)\n", + " emas.append(k)\n", + " txdf[k] = txdf.pbar.ewm(com).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "txdf[emas].plot(alpha=.8)\n", + "plt.axis([0, 3000, .095, .115])" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "txdf['dP'] = txdf.P.diff()\n", + "txdf['percent_dP'] = txdf.P.pct_change().apply(abs)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "txdf.plot.scatter(x='R', y='dP', c='percent_dP', alpha=.7, logx=True)\n", + "plt.gca().set_facecolor('cyan') " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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c3A5BKNYV0e4/AtGMLF0TUcsTTSPXo9EajAYZf0hS4BHopE8AyEZATXcMoITzs4y+SpZQgUShyEAoZLC/0Z+SZpvj0tn42kfcNmNsShfENVU+HDq8tr8hJcNr5dxKfvqnfdS3hVhT5WPnoQZ++Ox78fNGFYKnw/+S2aR0pjvm8a9eRsiwVCrvWYSySFEo+iEN7eG0ViRN/ggLrxxPXWs4pQfJkg3VODSdqytGplihLNuyhyUzJ8SPu7piZNJ5gXBqk6lsbC/SHfNhY7uyOznL6EuLlF4NJEKIWUKIfUKI/UKI76bZf6UQYpcQwhBCzO2w709CiBYhxLMdtj8qhDgkhHgz9u+S3nwNirOXU2Vj6Zogx6Wn3R+tA0l/rp21VdscIFGfzJS5lY3tRbpjMl2bsjsZvPSlRUqvLW0JIXTgIeCzQC2wQwjxeynl3oTDPgJuB/45zRArgRxgcZp9y6SUW3r2ihWDla6uG3scGr9dPJ3SIe54z3XDkrgcAsuCkQUe/ueeq3BqAguJU9MwLUkk1uyq+vvXEIxYiFiBoRarZH9p2Uwcsb7sL/7zTEwp2fzGh2mztuyMsY41Kom2F+mOaQ+bnZ6nGFxk813pLXpTI7kM2C+lPAgghHgSuA6IBxIp5eHYvpQ5vZRymxBiZi9en2IAcrpBIdt1447jFrh1wqbkvBE5+IPRvh8QDS4hw0LTBK8daODBFw6wcm4lo4u8mJZFyLD4qLGd+hMBrrlweHx8AXFLFBF72ogVbYz14t6jzL6kjDxP6gJBca6Lh2+dmnL9tphuH/O7pdMJGzLew8Tr0nj8q5fxYWM7OS6d9rDJ2OKcpPMUg4tsviu9RW8GktFATcLjWuDyHhr7R0KIHwDbgO9KKVM8wYUQi4BFAGPGjOmhp1X0JV0REzOtGz+99ApK8t1px/3lTZX4xhZjSUlr0KItGOF7v3ub+rYQD90ymYgpGZrrYsbEEj49qRQhIGJKLCnxODTOH5nHpOF5RHsnRoNIErGNuhCYSK6qGMELe48yNGckBcnlKGiaYNLwfJ5eekXG4GkYJsdOhJOE/TVVPnKcGsufeTvpvVIMXrL5rvQWvRlI0l19TxStfA84CriAdcA9wL0pTyTluth+pk6dOviLZc4CsgkKHclm3Thx3O98ZiLjSoZwQ8zyxM62Wnl9JUM8Durbwty56eQN+6FbJqMJkWSUuGJOJR8cPY5v3DB+ue19bpsxjse2p7a+XTVvCn946whfuqSMOVNHczxgcaS5PeUGoGki4+sLBg2OhyIU5TjZ+PXLcekahxv9PLjtfW6+bOxpvVeKgc+pviu9SW8GklqgPOFxGfBxdweVUn4S+zMkhFhPen1FMQgJGyYleW6Wz66g0OukJRBhzYsHTikmZrNunBhs/mFKGfc9+07Sc6x/5RA3XzaWsiIvi5+oTrqG4jwXloSNX788ViMiaGgL87lPjeJfn3mbZZ87n7Bp8f3ZF9LsD7N8dgXb9h7jmorhhA2LedPH8W/PvsMPvnQh9/7XO3FDx2zSNoNBg5oTARpaQ0kpyKvnTWHpVeeii+Rzldiu6C16M5DsACYKIcYBR4CbgFu6O6gQYqSU8hMhhAD+AXi7u2MqBgZel87dsyYl3TRXzq3E68osJmazbpwYbNwOwXc/fwFN/jCN/jBbq2u4bcY4hngcuBwaM8YXs2TmBJr8YYIRk8a2MHdu2p10PcPyXERMi6VXncvK597jthnjkpyB07kAC6LdEOtbwyyZOQF/yODoiSAjhngyL9sFwjS2paYg37FxF/dddxHlQ5MNIJXYrugtetUiRQjxBeAXgA48IqX8kRDiXmCnlPL3QohLgaeBIiAIHJVSXhg792/A+UAe0Ah8TUr5nBDieaCE6NLZm8ASKWXbqa5DWaQMDupag/zjqu0ps4vfLZ1Bab4n43mdCfSJNvGXjhvG4gStwbZ6v3vWBeS5depaQ0m9Qewiw901LfHrsW/iNU3thE2L+57dm3LNHV2An1o0DcOyqG0OJi1/nWpm8nFLO4GIxTU/fyll31OLpjGiwMO8X6fvPaJQZEO/sEiRUv4R+GOHbT9I+HsH0SWvdOf+fYbtV/fkNSoGDhHDSqt3RIzUQr5EOls3tkXKIR5Hkh18bXOAe7buYfnsCnQNjh4Pctd/7E4pMkwMCnadiSaitRw5pK/n6OgCfDwQYYjXmdSvvTNdQ0r4qLE97dJde9jE69L7RHhVnH2oynbFgKE3W4lqmsjY87w418WR5gChDIEsMSjYN3FLRms50rXKTecCXNOcuZ97Jl1DSnhw2wesmFMZfw47Y2tscQ7Dct2U5LsZXZRDSb47qyBiWZL61hBHmtupbw1hKXt7RRYory3FgKE419Xt2gh7mcuyooaJpiVx6BpDPc54z/OOv+5L8t04dYGM9UpP9+vf/tvWSHQNyoo8rHxuHyvmVCYtV62u8vHLbe/Hz7GXz/71SxeeVkGZ26lT3xbiZ8/ti4v/7WGT0nw3w/KyCxwd35v+2GrXMCzq2kJETAtnrNOjw6F+A/cnlI28YsBgWZLDjf6UQHJOcW7Wv7b3HWvl/r/sS+mL/i+zK3Dpgsa2SJJJ49oqHzluHU0IXA6NxrZw0v7V86YwLM9F2JTxrC0LSdiQ/OgPe5njK2dUgYeCHBfN/jBHTwTjWVvFuS5GFnh4fPshvnRJGZNK89jf4M94I++o9RR5nXxQ39ZjN367E2THQNaXKcOGYXG4yU9NUyD+mZcP9XLO0FwVTM4AqtVuAiqQDA6a/CH2HW1NydqaNCKfobmd3+jsG6Xd3ta+YT5z5wyKcl1YlkTXNDQRrT7XhSBoWLgdGpaMBgeXQ+AQgoBhxXulux3QFrKS+ou0xSzidU3gcghCEUltczs//dM+AJbMnECh10npEDemJRlT6MXlcmRMDMg0W5hYkkdzINIjOsiR5nauWPFCyvZX7rmqz1oA150IcqC+LeUzn1CSR+mQzAkWip6hX4jtCkVPEgibKamuy7bsifY7z+38fLtexG5vCzC5vBBd07jl4ZPZTfZS04IrxvH0riNcP7WMb29+K60d/Mq5lQzLd7PyT+/F03lXV/moTrCItx9PGlnAj+dcxPF2g+/8Nnm8IR4npS5HxsSArhRjni596dWUibBppf3Mn4z1uFf0D9TcUDFgyCSGm1lOqu0bZaIAvmTmhBSr+Hu27mGOr5xlW/aw8Mrx8SBi70+0g1+2ZQ+1TQHm+Mrj++/oYBFvP162ZQ8OTY8HkcTxwuapM8/OhLOrXXOTKNyfKa+mTGRKQFBJAP0LNSNRDBg8zvS/mD3OU/8eShTY18738cBf348L4ImzE5vEWYuuiU7t4O0038T9HS3iZSwIaoIu3RjPxGyhL72aMuHN+Jmrwsr+hNJIFAOGrojtHbWFaytK+f4XK3A7NAxL4nVp+EMWuhZNpzWlRBNR0dyUUXdFhwBDyqiVvEMQMWRcD7GDWGJv9kKvxvFA1DE4ag0fHSffq9EaSNZSjgcsnt/7CV+oHH3KNf/uJhoMVCxLsu9oKwufSNCG5k9l0ghVWHkmUBqJYlASMqzTcrTtqC38eW8dez9pjWoLXp199f64sWJiiq5tvbLqhf3cedW5BCMWz797lC9ePDqpsv2R26cSNmRyJleVj1wnXP3v/xPXXLwOaGp3Jjn0rq7yEYlE8I0bhsfV+U3xdF/7YEDTBJNG9K9ZkiIVpZEoBgxdaSWaSVvQNUm9P2q9PsdXnlJRvmzLHpr9Eeb4ymnyR/jOb99i7tQx8SBiH3ekOZiisdyxoRq38+TS1z1b9zC8ICel9e4dG6rj21sDp9Y6+rKNal9jJyCcTmGl4syiZiSKAUNXBOd02sLivz8n3mhq+ewKJpbmsXx2BWtePBD3zOqofZTkufE4dVbPm4LHqdMWMqhrDTEsz5XiSLxt7zEkUb8r26E4U9tee3u6Nrvdfe0KxZlCBRLFgKErgnM699/5M8YRNiTN/ki8nsRegvrZc1EDRrtiPWxaDM1xcfesSdz37DvcNmNcUu+RR26fyv/9wvlJ6cGr5k1JsoRfObcSj0NLe+0OTcT/29OvXaE4UyixXTFg6KqFR8civ/awQa5Lpz1iIoiK6g5N4NAEIcPCoQmEAJceFeRtKxVNCIbmaLQkCOb5nmgB4/GEbV6XRlvIwqFJLCmiNiyaYIhX40TCcUKAZYGJJM+lU5ynxHZF/0KJ7YpBR1fTUzsW+Z0ISE4ELSwJhmmx7qUDbD/YmFRouPHrl6EJEQ0kpqShLcS6lw+wbNb5+IMGeR4HlhT4w9GsrEDEQou13DWkxDQMjkeI6yLXVpTyjWvOSxLb7cLHb1w9kdws0lnPRrFdMTBQgURxVmEYFh82hZJu6KvmTQGIW8Jv23uMsCn5uMWfZM3x4E2TCUfMuJV81ItrChKRlLW1at4URhV4uHX9yd4pc3zlKWK7bVF/x8ZdbF40/ZTXfSYq2xWKrqKythQDBntp6yurXuGKFS/wlVWvsO9Y62lVOde1hVJu6Es37mLhlePjhYYLrxxPbVMgxZrjm0/upq41nLStrjWckrW1dOOuFMv5zgofDavvK9sViq6iNBJFj9Hbdt894U77YaOfh57fz8Irx+N1aTi1qA4iRLQgURNEl7wsiTOmmwRjukmuW4v1GYnqHLkunZBhJRUnBiMWVqyo8fHth1j7t8MArJ3vo7IsH8sS8eM1LaqRHKg7wbnDCxhV6M143R+3BLhh7aspr33z4umnPE+h6A5KI1GcUQzD4r1jrUlLPGuqfJw/PL/HgklP/CrPdelUTR/LyufeY+lV5xIxLB7+20FumzGOx7YfSluYaOsma6p8lA5xceO615gxvpiq6WOTihPtPiOJ5o0Aa/92mMljhnDsRCS9RnLNeeR5og6/mfQeXZDS12TFnEp0pbMr+gFqaUvRI9S1hVKWeJZsqKauLdRjzyFijacSKSvyIkR2d1PLkoQMi6UbdzHHV06zP8K3N78VL0jMVJhoGzQu2VBN2IjWfSy8cnxKcaJd3Jj4+NYZ43hp2UwiBmk1Els7aQ1YpywuNCU8tv0Qy2dX8NSiaSyfXcFj2w9lbVipODvoqw6XvRpIhBCzhBD7hBD7hRDfTbP/SiHELiGEIYSY22Hfn4QQLUKIZztsHyeEeF0I8YEQ4ikhRN9ZkyriRMz0bWiNTlxtTwf7V3miO222v8otS3KkpT1eAFjodZLj0pN0ilPpGPbfZux/zM7MHO3HIcPiRNDIWJB4UiORp5xZ6QJumzGO+57dy43rXuO+Z/dy24xxakaiiNMTGmJX6bVAIoTQgYeAzwMVwM1CiIoOh30E3A5sSjPESmB+mu0rgPullBOBZuBrPXXNiq7j1LW0swWH3nNfMU3T0v4q17TOn6PRH45rE7aVfHvYTLKV76y/elmRFz229GRaMqte7G6HRlmhO/686Y63CxJPVVzYndeuODvoSxudXhPbhRDTgR9KKT8Xe/w9ACnlj9Mc+yjwrJRyS4ftM4F/llLOjj0WQD0wQkppdHyOTCixvfc5ExpJd3qKN/mDBMJWXFS3BXH7sV0gGDElppToIiqehyIWJJyja4I/v/0Jnz5/OJoQaEKQ4xIEIycF+0DEBAReZ1TIdzsElgUiJq6fFNsFdSdCFOY4KczRyXdn9pHqr/3UFf2H3uhw2R/E9tFATcLjWuDybo5ZDLRIKY2EMUd3c0xFD+BwaJw/PJ/Ni6djmBaOXsja6mpBomFYHGkJpXX5tQXvxZ+eQL7HwVcfPXmjXj1vCs++dYQrJw1POmd1lY8f//HdlI6IE0cUpB37rqsn8oc04yQK+dGgkDnzrD/2ClH0L/rSRqc358XpvuHdnf5kPaYQYpEQYqcQYmd9fX03n1aRDQ6HxqhCL2OKcxlV6O3RIGLTFSdYu3YknZhuC97fevJNjjQHk8XzjbuYO3VMyjnpRPWrK0ZmHHtphnEShfxsliCUC67iVPRlh8venJHUAuUJj8uAj7s5ZgNQKIRwxGYlGceUUq4D1kF0aaubz6sYwNiJAJ0VBea49JR92YrqMkMb4NPptKiKCxXdoS9nrb05I9kBTIxlWbmAm4Dfd2dAGRV0XgDsDK/bgGe6dZWKQU0kYiZSIpI0AAAgAElEQVQJ7KcSvNvDZsq+bEX1TKnJ9tidjaOcfBU9QV/NWnu1sl0I8QXgF4AOPCKl/JEQ4l5gp5Ty90KIS4GngSIgCByVUl4YO/dvwPlAHtAIfE1K+ZwQYjzwJDAU2A1USSlPWaygxPazE8uSHGsNQKxSXRMCpy7igromooK43SbX7dAQEK9kz3FrWFZyG908j4aU4A9Z8Up2e5899t6Pj/P/nn03RSNZ8HfjMBPEdl2DOzbsTtBIlHCu6F9kK7YrixTFoKXJH8IfMuJ2JhEzagkvJax6YT/bDzayat4UfvX8B3Hh/IGbLuHfnn2XknwXP/jShURMi8MN7Ty47QPq20KsrvIxqtDNf+0+gm/csBTzxz+8dYTZl5QxZqib9lDUYdjl0HA54KMOZpGrq3yMKXLTFrIo9rrweHp2pbmjfb4S5xWniwokCahAcnZyPBDEtIil5sqk1FunLjAtkERnJpZ1cpbicWo4dGgLRmcb+R6diCGJxPqS2DOXI81+hhfknJytuKN9SDRNoqERNCxMS+LUNVy6IM8tknqZFHo1GvwmB+v9lA31Uj7E22PBRKULK3qC/pD+q1D0GaGQgT9s0dQW4cE0ab/27OFzF41C1+DOTQnW8PN9uBwaC9bv4EZfGbMqR9LQGkqylF8330d+jpsb172WNMNobgtQlOdlXLGbOWtej+977lszONiYOiNx67D8mbdZObeSIW5HjwUSZTuvOJOosljFgCJbL6GG9jCmCUsypP3aKbnffHI3Tf5I0r7FT1RT2xSgtjnAdVPK0lrKL0o4xt52x4ZqJpQO4Y4N1RwPWEn7WgJWitfWHRuqyXU746nAkR60slC284oziZqRKAYMliXZd7SVhU8kLNfMn8qkEanLNU5dYJiSjV+/HKcu+N3SGYQi0aWmhrYQP/rDu/GU3HRpvzkuncnlhWgCxhbnsHx2BWtePMDumpakYzqeZ3tqGR2CQiavLfu42uZAj3oiqR7vijOJmpEoBgwNbaF4EIHYcs0TO2mIOQzbs5X61iAnggbN7RE0IQgbkrBhsW3vJ8z82Yv801Nv8v3ZF6DH0oIT034nlxey/vZLKcl38/MbLube/3qH72x+C5eu8bMbLmbD1y5jcnlh2nThaytKcWiCLUum49AEk8sL42Pa29fO98W32x5b8b970JesL4vTFGcfakaiGDAEI+mXa4KGmSQuP710Oh6njlPXCBkne7KvrvJxg6+MzdW1fOvJN/nVzZN58KbJ6Fr0RluS5+buWZOStJCfX38xbqfGXQkaysq5lZTmu7Eg/qvf7smeqJmsnFvJ07uO8JUpo5O2J/Yh8YcicV+yPE/f28koFF1BZW0pBgxHmtvjN2SbsiIvTy2ahsuh85VVrzBjfDHzZ5yTkpa74dUP2X6wkfW3X8pn738ZgJeXzcSpC0Qsa0tC2vHvu+4iFjy6I+U5h3g1TiRkYWW6tkzb7awtPZbx5Q9ZXTbXUyh6g2yzttTSlmLAIDL0I9FEVFwuyXNz1zUTT9mTXU9YSkLA9WtfY9qPn+eGda9hZrA5SaeFhE1JxIS/vPMJJ4IGnxwPZtRA0m3/5HiQg40hhubq/N2KFzgeMJV+kYG+atakyB61tKUYMDg0jZf3HWP97ZeiawLTkmzZ+RETSyfg1gV3z5qEaaVvsGXrIbZVydr5PjwOnS1LphMyLJwxW/d0AnU66xSvU8MfMrn6ghHkunWCESvtuXqGMUcWeCjwarQEzLhW0tP6xWAoSFT1MAMDNSNRDBiG5rj40iVlLHh0B1f//CUWPLqDL11SxtAcF4YlefG9YxkbbFkSVlf5KPA6+NXNk3Hpgt/87QCHGvz805NvcsO612gLRVhd5Uua8ayt8lE+1Ju0bdW8KbS0h7n54deRwHUPbeeuTbvTzpae2H6INR3GXDGnkrs27WbWA9sRCFZX+RiW07M3+b7slteT9GWzJkX2KI1EMWCobw3xlVWvpPy6twXl9rBJ2LAwpYz3U7cL/4blOXn0fw4xd+oYPnv/y5QVeVl/+6UseHQHy2dXsPiJatbffin/8caHzPGVU+h10hKIsLW6hoV/P4Gm9nDSth986UIADNNi5s9eAqLZWUtmTqDQ66Q0383/2fwWu2ta+NvdMxFCcKQ5QEsgkpRG/NKymYzMd+Ny9eziwKneq4FUkNgbzZoU2aMq2xWDjlMV2XmcGg5NYFgSpy54atG0uAju0AU1TQHeONzCjZeNjZ/ncWosn13BxNI81s73UVbk4c6rzmVorhvTkgzLd1PodWFJyZoXD8SDxBxfOZqAGT95gRe+8+n40tXumhYWP1FNWZGX5bMr2F3TQlmRl2DEIsel853fvpVyY3dooseDSGfv1UBC1cMMDFQgUfRLDMOiri1ExLRwxrot2lbtHW8qTl2jpT1CYa4DIwyBiBXTHHSOByyCEYuRBR4e+6qPsAGvfveqqL+WhPNH5KNrgkvKCnA6BK6gSY4r6urrEoJvfWYilpT86pbJ5Hs0Xj3YwtbqGkYXnsfk8kKOngiycm5lUsqw3fnw2opSvvv5C/CHTXJdOusXXMqC9TuSZko9mfKbSKb3KtqteuBQnOvi8a9exoeN7eS4dNrDJmOLc1Q9TD9DLW0p+h2Z+r+PKnTz7idtKe1sxw3LxaHDsRPhFC+r6kMN/PDZ9+KPRxW6ORGIcCJgcuemXUk3/2H5bg7XtzG8wMuvnv8gxZ9rdZUPh7Boajd5bPshbr5sLA9u+4AffrmCJn+EHJeOBMYWezFMSXN7JGmJbd18H8W5rrhNvcel4dYhz+Pp8ffw2PEA++v9Ke/VuSW5DC/wdj5AP0GJ7X2Lcv9NQAWSgcXHLQFuWPtq2tqL//df76RoGP/yxYqMdRybFk7jyp++kDSGJeHmh9PXi5w3PI8b173G8tkV3Pfs3ox1IctnV3DBiHwkUZt405JYliRsSta9dIAvXzKK7/7uf9Oeby+5Hag7wYTSIb2y1l/fGuJfnt6T8l796CuVA0ojGSxaz0BFaSSKAYvdGjeR2uYApiX59mcnpfw6zXXpWMCTi6ZFbdtjukjIkEgpWTvfx7a9x7imYjiGJdE1QUmeO+k57HoRw5KU5Lk5rzSPX948mTy3g2DE5OPjQda8eCBeF2Kn0gpg+o+fB+D573yaz/x7VHif4ytL+xpqmwPcuO41nlo0jVvXV/PSspm98h4W57rSvlcDbUlosGg9gx0VSBT9DjuFN0WY1jUmDc+JZ2l5XTpCSFqDJoYpafKHafSH2VpdwzeunsgvYw2rrq0o5a6rJyYtM9k6hp09ZdeLeBwad8+axPxH3khaEtpaXcPdsybhcUSvbfgQDx6HRtiUbFkynUZ/GF0TXFtRyhxfOaX57rSvwW69a//X0QPLM5nqRQaDRYoS2wcGamlL0e8wDIt9x1pZnKB3rK3yMWl4Pg5HVJy2184LvA4a2sJJQcL2sprjK2fxE9Wsne9Lu0xlW58kaiRCwu2P7kg51l7q2vT1yznSEoj2wwZuTRDPH7xpMvleBwvW70jr22Vf120zxvHyvmPcMu0cNAEep6PLN/nBriEM9tfX31FLW4oBjdupcd91F8UzddzO5OymRn+Y1w/U85kLR8aDCESXPe7Zuoflsyso9DoBKPQ60y6PTCjJ5eVlM9E0gVMTOB2C1mD6pRR7DAk8vesI2w82ct91FyU97zef3B3fVtsc4Kd/2sd9113EhNJcdCEImxY/+NKFuHRBgbeMeb9+vds3xwZ/KG3B3u+WzqA0v+dF/DPNYJlZDXZUIFH0O+raQty+PnVWsHnxdEYVRjOOwobJ5z41irCRXk8pznXFq5/tZaSO4x2o96eYMa6//dJTLklpQnDd5NF8UNeWsY+Jze6aFhY8uoNX7rmKkQVe9h1rZf5v3kgR8u2bf1cE5IyOyBHrtMbpz2iaUMJ6P6dXA4kQYhbwAKADv5ZS/qTD/iuBXwCVwE1Syi0J+24Dvh97+G9Sysdi218ERgL2/z3XSinrevN1KM4smcR2wzx5c3Q5dByx3uj/c89VcZGd2A9VhxCcNzyHV+65CsOSPLVoGm6Hhj9sUnciROkQF+1hi5eWzUTXBLom2LKjhmDEZMWcypS02ce2H2LFnEpAcs/WPdx33UVpPbjSbRNCJP2ybg8bPSYg6xnqRXT1g11xBum1QCKE0IGHgM8CtcAOIcTvpZR7Ew77CLgd+OcO5w4F/hWYCkigOnZuc+yQeVJKJXoMUk4lttsMcek0BqPtdEEihKAlEMHr1HnyjQ/5QuVoctx6SgFg9aEGLh1XTMSUHD0ejC+dDc11MqtyJJZl8bPn9rFp4TSa/WFyXDrBiMkcXzmPbT/Ess+dT21zgHOG5SKljF+nreM4dJG0bcWcyvhN3f5lXd9KjwnIXpeetiDS61JitOLMccpAIoTwAEuAc4H/BX4jpTSyHPsyYL+U8mBsrCeB64B4IJFSHo7t6zgP/xzwFyllU2z/X4BZwH9k+dyKAUyOS2PVvClJAvqqeVPIcZ0MJAHTwLLAqYNlRa1RCrxOhIDbrhgHQLM/QkmeO66XNLSG+NynRlHbFOBE0Ij7ao0Y4mForotoQIregDe+eojZF0cNIhOv4eGXD1JW5MXj1Bie70lau9c1+G5Mnxk71EuO24lpRfuVGIYVTxSwuxf2RGpuodfF8CGeJD1p+BAPhd6BlearGNh0NiN5DIgAfwM+D1QA38py7NFATcLjWuDybpw7OuHxeiGECWwluuw1+FPPziL8IZMNr36YZBf/8MsH+dZnJjLEI2kLh6hpDvHsm7XMvng0d6TJ2Fr86QmU5Lv5ly9ewD899WZShfzIAjf3Prs3pXLdPvfuWZPIcem8+N4xHv/qZeiaIBIrNNx+sJG1VT6klHx8PIDXpTGywIumCQzD4lufOY/f765lZMFovv7wa0nPe34s66wnBWRNE5xTnEu+x6nEaEWf0ZnRT4WUskpKuRaYC/z9aYyd7puc7Q3/VOfOk1J+KnYtfw/MTzuAEIuEEDuFEDvr6+uzfNr0qMY6ZxaXQ2f7wUY+e//LXP3zl/js/S+z/WAjTofGvmOttAYs7thQzdypY+JBBE5mbM3xlfOtJ98kbMh4ELH3L9lQjUQwx1ceDyIdz122ZQ/D8tx8efJoXA6N1w80UNPUzpKZE9i0cBoPbHufGT95gZvWvcb7R9s43OjHMCw+qGvjgb++z7zp41IyyZZsqKYu1lseTi5zjS7KiaYSd+PG35NjKRRdobNAErH/OI0lLZtaoDzhcRnwcXfPlVIeif23FdhEdAktBSnlOinlVCnl1JKSktO89JMMlr4OAwl76Sexh8fDt07FoQn+c1dNvLpc18QpU3U1Qdr9lpQU57pOeW5tc4B5v34dKaEg182CR3dw6yNvcKCujT/vrYsfv2zLHj5sbKeuLcTCJ3by5711GBmSBSLm4MmkUigS6SyQXCyEOBH71wpU2n8LIU50cu4OYKIQYpwQwgXcBPw+y+t6DrhWCFEkhCgCrgWeE0I4hBDDAIQQTmA28HaWY3YJ1VjnzJO49PPKPVfx9NIrmDQ8n0DY5NYZ41K6HSaSmKprSdLud+oaxXmuU57bEojEg45dj9IxvTdxW8dMs3Rj90QVu0LRHzllIJFS6lLKIbF/+VJKR8LfQzo51wDuIhoU3gU2SynfEULcK4T4MoAQ4lIhRC1wPbBWCPFO7Nwm4D6iwWgHcG9sm5toQNkDvAkcAR7uxuvvFOX10zekW65xOaLuuu1hg9VVPrbs/IjV86akdB/cWl3DAzddgssheOCmS5L2r5xbScS0WP3CAVZlOHfFnErWvHggXjfSEojEj0mX3lucF61xWH/7pdzgK8MfMlg5N7lb4up5U/A4VUNSxeBEWaR0gnIfzZ7e7hFuGBZN7SGCRnSJSBcCTYCU4NAFwYiFrgmEAIFgiEfQErAQApBgSIkuovstCS5dw5Iy2rNd1yhIOF5KsKRESzg+x6URCFsEIhatwQgt7RHKhnrZsuMj1v7tMGVFXv5j4eXsr/NTmOOMGz42tIU5f2Q+JbnueOaWQjEQUBYpPYRqrJMdZ8ITqd2IEIhYtIUMRgxxE4xYSEDXBGFTJqVoOHVBKDZ5iJhR2/YCj05byIo/dujQGrTQhMCwLMKWHj9e1wSv7m/gr+/V8d3PX0Br0MDKddEejvD1x6IeYNdWlPK9L1zADZeNZco5xWzbe4yW9gjLn3k7KRPswW0f8KtbJicFkd4OugrFmUQFkiwIGVbSzeHhWzsN0GcdmbSknpq5hcMGHzUGeXDb+/zgSxV8fDzEL7e9z9KrziUQNpMK8n59m48hHgeNJ4yURlfPvlkbnz2smjeFDa9+yPaDjWxaeBm1zaGk49cvuJTzRg7h1gQn4JVzKynJc1OS5+a2GeOY/5uT+x66ZQq/fP6DlEyw+667KKnYUBkRKnqLvvqBoubZndDoD3P/X/axfHYFTy2axvLZFdz/l31KbO9Ab2pJliWp94dZsqGaOb5yQHBH7O9mfyQeROzndGg6piXiQcHebqcM24+XbtzFwivHU9scQKClHF/bFOCuTbuTti3bsoclMyewZOaElPThOzftil1f8nswblhu0gxWJXAoeoO+zDBVM5JOsCwrbeGaZalUzkR6s29Egz9EJJbyW+h1Yib8DakpvpoAU8q0gU1P+HWW+Djd8TkuPWOKcLrntc0iEykr8pLj1pN+FaoEjtNDLQNmR2+vCpwKNSPpBFOStnDNHPw5CqdFptqPbLWkUxV9mpaFM5by2xKIxNN/WwIR2sNmSqqtJU+aGSZipwyne5zu+HRj25lbdppwx33Fua6U92BYbvL/xLaXWMdznbr637Ejqo4re/ryB4r65naCzPDL9mzIdjsdNE0wsSSPzYun8/KymWxePJ2JJXlZ/XI81c3CMCz8IZNGf5i1VT62VtcAktWxv4tynSmptoZlomvRY5JScGMpw/bjRO8siZVyfNlQL+vmp45xwch8Jg3PY02H49dU+fC4NDYtnMYfv/l3PLVoWkbd4/4bLk469/4bLu7eBzBIUcuA2WOvCiRyprpJqvTfTlDpv9nRHQH5VO+xlJJPjgdo8kcYluciz+PA49TwOjX8oWiqri4EEUtiJaT3unQNTYNAOGqa6NAEeW6NttDJx16XRmvQRNcEDk2gaxAyJGasr7tDg3//8wf8o6+MkQUepITm9hC6ppHvcdDQGiZkmHicOiX5bja9djgu5K+u8nHesFzc7tTV449b2jkeiHD0eCieCTiiwE2h18nIwpwe/2wGMkea27lixQsp21+55ypGF6n3KpHeSOJQ6b89RE86tQ5murM+e6opua4J2sNmUtbcyrmVQLRT4cJPj6ehNcSyLXtSGkbByWZV89K0z73vuosYmuuiKNfJu5+0xZ8j8Zjlsyu4ad1r8ee1JNyz9aQJ5Io5lfzoD+9S3xZi+ewK+NvhuLC/efF0RqUJJALBwserU57rt4unn8Y7fnagerZnT192k1RLW52Qya5DiX3JdGd9NtOU3OnQMCyZkpW1bMseRgzxRDOumgLx/Zla6mby5Mpx6dy5aRcCkZWwPmKIJ61etmTmhKRj7X1GBm+tsPLiypruam9nG31l4KlmJFmgWn12Tnd+OWaa9eka8QytRGqbA5gyuvyUGAAytdS1Pbk6brf9tEwp48J6umPi42TQywq9zqRj7eMdGcRzO1mg43OpHyepqJ7tAwOlkSh6hO6uz0YiJnVtobh+UZrnpqE9hFPTaI+YOHWNmNMJYSNqheLSBLb/iZTRfQ1t0XoT+xrWVvkoyXdR3xpmccftQ1z85uWDzJ8xDk2DprZI0rlrYn1HghGLkYUeDEvGi+eb/GHqWkNsra7h5svGMizfzS+3vc+f99al9B/pyLHjAQ42+FO6Go4flsvwAm/K8QpFX5GtRqICSRaoPPbs6Or7ZBgW7x1rTbmJjyx0EzYkhinRtWhabyBs4nXpOHWBYcrozCRqroWU0YBiWtFaEk0TfNISxJISr0unJM9NxLTQ4uJ6VH9xagKhQW1TkGF5LiwJbqdGWzBqyVLgdfKT/343HiRWzq3kp3/aR31biNVVPpwavHaggWsqRmJYFi492j0xk69WOGzwSVuIiCHRYj5eTodgZJ4bl0stEij6DyqQJNCdQKLsLHqfj1sC3LD21aSlnmsrSrl71vnUt4ZY/8qhpKLQaytKuevqiUmteFfPm8LoIk9SlpbHofHOxy0EDCgv8pLrdvCjP+yNBwTbIqUlEOYb15yXZI+yat4Udh1u5IqJpeiawKlr/OeuWn7+1w/iIvziJ6rjYv5n73+ZsiIvm75+OWVFOaf8bliWZN/REyx84uTzPTzfx6QRQ9R3StGvUFlbPURfVoueLXTs5QEwx1dOTVOA5c+8zfLZFUki9xxfeVIHwpI8N0W5To60JHtlPXL7VIbmeZNmOivmVFLfGmZ3TQtLN+5i/e2XcrDBn2KP8oe3jqT0bF89z0dNc4DN1bVJIrxdHW//3VkwaPSH40HEPm/hE9XqO6UYsKisrU5QdhbZ09WWxOkqvYtzXXEhvWM2VsfHS2ZOwPbfSrw5H2kOxoOIvc3OsrIf65pIm+0VbePbwatrYzULrxyfKsLHXme2yQXqO6UYbKhA0gl9WS06kOiOlUVpnjulSrwk3x3PpOpoR9LxcaL/ViKdpfTaQSCd3UmmlGFdE6yce7LxVWJ1fLZpqeo7pRhsqEDSCSqPPTu6Y2XhcGhMKs3jqUXTeGnZTJ5aNA1dQPnQqLBtdy20P4Ot1TVJ3Q3bw2Y8pTaRTF5ZduCwg8DW6poUexSXI70fltuhMX5YLg/cdAlPLZpGSb6Lu64+l9/dMSNr3Ux9pxSDDSW2Z4HK2uqc7lhZpEtoWDm3kppGP393XgmhWLqvYUocukAXAqcuiJjR+g+PU8Pt1Dh2IpyikYQNmZIOXJTrjHZV1AT+sBk1edQkR5qDOHWNlkCE4/4QF4wuTBHg//DWEa6cNJyfPbeP3TUtWb/Gjq/3cKM/pVnaOcW56nul6Fcosb0HUQWJndOdgsTEni+FXictgQjrXznE92dfyA1rX0sZ89EFl9Eelix4dAcleW6WzJzAqAIPo4o8PLVoWlLW1vYD9Ty64DIEsL++je//59vsrmlJyryyx40+fiP+eG2Vj00Lp2GaFrquETZMrr90LMt++1Y8iHRlSarRH443y0p8XUpsVwxU1IwkC9SMpHO6kyZ97HiAw43tfOe3byXVkZTkuQhELBw6GCZoGuQ4dUJGNMU316VzrDXE4oQ02rXzfQzPd6Nr0J6QCpzjiho2WlLidmhEzKjJo2VJjp4I8vSuI9xx1QTqToRoD5sMzXVSmOPkk+MhBMRnDUBSx8SupIIfaW7nrk27WTJzQjxwrnnxAL+6ZbIyIlT0K/pFHYkQYhbwAKADv5ZS/qTD/iuBXwCVwE1Syi0J+24Dvh97+G9Sysdi233Ao4AX+CPwLdnJi1B1JGeGrgbcT1oCXN+hjsQ2VXxw2wfcPWsSy7bsYcb4Yqqmj2Xpxl2U5Lm5/8ZLqPrN6ynnbfz65YRNiwXrE1J3q3wcrj/BI698xP/9wvl8e/NbSctoxXkufvbcvniNyaMLLiVsWCxKrPW4dSoTS/JoDkS69aOiyR9i39HWlMr2SSPyGZqrZiSK/kO2gaTXxHYhhA48BHweqABuFkJUdDjsI+B2YFOHc4cC/wpcDlwG/KsQoii2ezWwCJgY+zerl14CoPohnA5dNYyLWOlNDHNcOktmTojfcBdeOT5eP7Jk5gSMDD5c9a0hapsCyam7G6qZPLaYJTMnxIOIvW/Zlj0caQ7G2+TWNgeoaQrEg4i9beHjO2kORLptipfJiNJQzZoUA5TezNq6DNgvpTwopQwDTwLXJR4gpTwspdwDdLQ9/RzwFyllk5SyGfgLMEsIMRIYIqV8NTYLeRz4h158DSrn/zToah1Jpm6GLYFIUo1HYkpuodeJLkh7XqM/TI4rWbeobQ5gWjKjQ3COS09y782UOtwTn3vEyOD+ayj3X8XApDcDyWigJuFxbWxbd84dHfu7K2N2CZXznx3dqSPxuvSULod2rUZijYft4gvRWpKGtnBSGrBdub61uob2cPINv6zIi66JjC1y7fa5NplSh3vic1ffKcVgozcDSbo5f7Zz90znZj2mEGKREGKnEGJnfX19lk+bisr5z47uLAEOcTspyXdz33UX8dSiafzq5skMy3dT3xZizYsH4kHm4ZcPxgPHmhcP4HII3A7B41+9jC1LprN8dgWPbT/EN685j7Kh3qTPbHWVj90fNrLmxQMpbW5Xzq1kdJEn1sY3um1orpO1Hdrs9tTnrr5TisFGr4ntQojpwA+llJ+LPf4egJTyx2mOfRR41hbbhRA3AzOllItjj9cCL8b+vSClPD/dcZnobtaWYVhRi3PTwqFrlOa5Mzq7DkayEdG7k4nU0h5CSkkgIuPvsccp4gaMHoeGKcG0LLwJWVseh4YQAktKDCuageVyRO3mXQ6RlLVV4NU4Hjh5nkV0icl2AradgyOx400pyXHqSESvZOud7d8pxcCgP9SR7AAmCiHGAUeAm4Bbsjz3OeD/SxDYrwW+J6VsEkK0CiGmAa8DtwK/7OHrTsKyJB/Ut521WVvZZq15XXo8uyoxE8nrOvVyjWVJAhETf8jEHzJwaIITQYP1rxzie184n7aQxbxYUeC1FaX8yxcrmPfr1Ewtu83uqnlTcDsEHqdO3YlQUnbW/TdcjNOhcdem3ZTkudNer20Pv2reFEQOjC48tZNvV9/Ts/k7pRh89NpPICmlAdxFNCi8C2yWUr4jhLhXCPFlACHEpUKIWuB6YK0Q4p3YuU3AfUSD0Q7g3tg2gDuAXwP7gQPAf/fWawCVtZXt6+9qJlKDP4RhQk1TgCZ/hLrWMMu27GGOrxyHpsH0nVQAABMFSURBVCcZMc7xlUczsjL4Z9U2B1i6cRe6phMxScnO+vbmt2j2R+JZX+mu126bu3TjLkKG7JXP+Wz/TikGH71a2S6l/CPRWo/EbT9I+HsHUJbh3EeAR9Js3wlc1LNXmpmzPWsr29fflUwky5K0h0wQJGVZ2YGhY2vbQq+TRn/4lC1xa5sD2D/qM2Vn2WOdytDRHqc3Puez/TulGHyoRdlOONszbLJ9/V15nxr9YQ41+NFFtFOh/c8ODB3TglsCkRQDRztTa82LB+KPLRntOpgpO8seK1PKceI4vfE5n+3fKcXgQwWSTjjbM2yyff1deZ/Chsl//+8nCCEpHxrNlCrNd8Udfw3LTHLl3VpdwzevOY/Hth9i+ewKnrnzCjZ+/XIe234o7p+1at4UTMvEqZOSnXX/DRdTlOuMZ31lSjm2x3E7RK98zmf7d0ox+FBeW1lwtnttZfv6T/d9qjsR5EB9G+tfOcR3rj2Pohw3lpQIotlTmgCPU0tqn5vv0fCHJBHTirXAjboA273bXQ4Ny5LomkACIcPCsiROXUPE+rpbEkwp8Th0IqaFKSVuXQckQcOKe3MVeLtWud6T76lC0Zf0h6ytQcPZ7v6b7es/3ffJMK244P3nvXVA9Nf5U4umETIs6ltDjB2aw43rUh2Af/KPnyJiSiaU5uF1Drwb8dn+nVIMLtTSlqLPiGTwyqptDnDbI29Q4HViyfTHeJw6Iwo8lBV6u+x5pVAoegYVSBR9hitNr/ayIi+ji7z8bmm042AmYXpUoVfVXSgU/QQVSBR9gmVJAmEzRfBeU+VjRL6H0nwPmiYyCtMjhnhUEFEo+glKI1H0CQ3+ELeuf4OSPHe8M2J72GRkQbJViKYJJg3P5+mlVyhhWqHop6hAojjjWJYkbFj8/PqL455cduval+++iuIOxythWqHo36hAojijpPPuWjGnkp89F/W40sXJ41R6rEIxMFCBRHFGSeczdc/WPdx33UV4nBpel67aGysUAwwltivOKJl8psYMzWH4EA+FXpcyNVQoBhgqkCjOKJnSeb0unXOKc9E0oUwNFYoBhgokijNKpnTe0jw3jf4wR5rbERl6uCtTQ4Wif6I0EsUZwxbQh+Y42bx4OlJKXA6dIq8zqdHTtRWlrKnysSTWi0SZGioU/RsVSBRnhMwCujdFE7F9txKDjcraUij6L2ppS3FGOJWAnk4T+fPeOqSUjC7KUV5aCkU/RwUSxRnhVAK6avSkUAxsVCBRnBFOFSxUoyeFYmCjGlspzgidFRmqSnaFov/RLxpbCSFmAQ8AOvBrKeVPOux3A48DPqARuFFKeVgI4QLWAlMBC/iWlPLF2DkvAiMBe53kWillXW++DkX36cx8UflpKRQDl14LJEIIHXgI+CxQC+wQQvxeSrk34bCvAc1SynOFEDcBK4AbgYUAUspPCSFKgf8WQlwqpbRi582TUqopxgBDBQuFYnDSmxrJZcB+KeVBKWUYeBK4rsMx1wGPxf7eAlwjhBBABbANIDbbaCE6O1EoFApFP6M3A8looCbhcW1sW9pjpJQGcBwoBt4CrhNCOIQQ44gufZUnnLdeCPGmEGJ5LPAoBgiWJalvDXGkuZ361hCWNfg1OoVisNObGkm6G3zHu0amYx4BLgB2Ah8C2wEjtn+elPKIECIf2ArMJ6qzJA8sxCJgEcCYMWO6cv2KHka5+ioUg5PenJHUkjyLKAM+znSMEMIBFABNUkpDSvltKeUlUsrrgELgAwAp5ZHYf1uBTUSX0FKQUq6TUk6VUk4tKSnpwZel6CrpihLv/8s+jp4IqhmKQjGA6c0ZyQ5gYmxp6ghwE3BLh2N+D9wGvArMBZ6XUkohRA7R1GS/EOKzgCGl3BsLNoVSygYhhBOYDfz/7d19kFX1fcfx94d9cmFVVh6cKCioyIRJiAoaTdqEiVVJk5Qy0mpU0DatGuukdaKJnabTjE5m4kNiYm0UnGiU1MqgTcvY6Kp56IPiA2jBiCL4UEGNrAIKiCzL/faPc+5y9+7dsHvPvXe5y+c1c2fPPffcM9/v7N393t/vd36/82gVc7AMii/pLZ6UeOLE0Vz4qcn86cLlbqGY1bGqFZKI6JZ0OdBBcvnvHRHxvKRrgBURsQz4MbBY0npgM0mxARgPdEjKkRSh+en+lnR/U3rOR4Hbq5WDla9UN9Y9f/FJJrS39hSTS2cdyzfvX91n2ZSfXfZpX91lVkc8IdGqonPbLub+6DHGtbVw6axjGd3aRABj25q5/qEXWXDaJCaPHcVv3nyf0a1Nve7d/l9XzaK1udGTEs2G2EAnJHqJFKuKru49jGtr4cqzpnLtA2s4Z9ETXLl0FQB/8wfHc/fy13hne1fPa9c+sIYrz5rKmdPG88JvtzH3R4+x9u1tHjMxqwMuJFZR+ct790Rww598grsef7VX19WGzTu5ePFKzp4xkb+655k+926/+vMf5bZfv+zb65rVEd+PxCqm1LjIdWdPp3NbF89u2ArAyOYGNm7ZyejWppKrAb+3c3fPsb69rll9cIvEKuadHbv6XN77zftXc+msY3uO+aBrDxPaW9m6c3fJ1YA3bdvV67mXkjfb/7mQWEXkcsHOrtL3HJkyvo2F82dw5rTxHD1mJIvmz+D+lRu47uzpvZaOv+2CZH/+uZeSN6sP7tqyzPJdWr9978Nel/dCUhDWbdrOtQ+sYeH8GTQ1iO8++BILTpvEUYe1suTiU8lF0NLUwGGtzXxn7nT+4UteSt6snriQWGb5Gevj2lq47uzpPXND8mMkN3asZeOWnVyyeCXXzvkYD6/Z1HNf9gntrb3mjXj+iFn9cSGxzPIz1jdu2cmNHWv5+y9OY8r4NtZt2s6NHWt7Bs/HtbUwacxIllx8aq95Ix5QN6tvLiSWWf42uhu37OTZDVu5ZPFK7rzoZK59YE1PN9eJE0fzjdlTmX/HU71aK3c9/qoH1M3qnAfbLZNcLgiCn37lk9x50cmcOHE0E9pbOfqwkb3uw/6106dw1X2r+1zR9a0vTPOAulmdc4vEylZq3sit55/Eh7tz5AiOGzuq59a63bkoeUWXJA+om9U5t0isbKWWhf/qPz/D5g+6uOjOp+nc0cW4g1tobmzglc4dJeeNuIaY1T8XEitb8bLwQK9Z6917cj3H3fyLdX3mjdx6/km0Nnt8xKzeuWvLytbUMKLkvJHde3JMaG+lsSH5ntLc2EDn9l09V3SNbm3ig649jG1rZnSrx0fM6p1bJFaWXC7Yk8txw7zerYwb5k2npbGB2y6Ywfi2ZE7ImFHN3L5gJp3bd3HJ4pV8fekqxh/Swri2gzw+YjYMuEViZXl3RxdvbP2Q6x/a28rYunM31z+0lh+eewJHHNpKY2PyPWXECDH18IN7Bt49a91seHEhsbJ0de/h3R1dPa2MvAntrbQ2N/YUkbwRI+RZ62bDlLu2rCzNjQ0lF15cOH+G54WYHWDcIrGyjBnVzBVnTOWmR5KurTGjmhl/cAtHHNrqLiuzA4wLiZUlP+7xnbnT+4x75HLBuzu6PB5idoCoateWpNmS1kpaL+nqEq+3SFqSvv6kpEnp/mZJd0p6TtIqSbMK3jMj3b9e0s2S/B9qiOTHPY5sH8m4g1t6isjat5N7rn/6ul/53utmB4CqFRJJDcA/AZ8HpgFfljSt6LCvAFsi4jjgJuC6dP9fAkTEx4EzgO9Jysd6K3AxMCV9zK5WDjZ4pWa7+97rZsNbNVskpwDrI+KViOgC7gXmFB0zB7gr3b4POD1tYUwDfgEQEZuArcBMSR8BDomI5RERwN3AH1cxBxuk/ma7e6l4s+GrmoXkSGBDwfON6b6Sx0REN/AeMAZYBcyR1ChpMjADmJgev3Ef57QqyuWCzm27eGPLB3Ru29Wnyyq/pHwh33vdbHirZiEpNXZR3FHe3zF3kBSJFcAPgMeB7gGeMzmxdLGkFZJWdHZ2Djho699Axj/ys9gLLwn2vdfNhrdqXrW1kaQVkTcBeLOfYzZKagQOBTan3VZX5A+S9DiwDtiSnud3nROAiFgELAKYOXOmR3oroL/xj8Jb5XoWu9mBp5otkqeBKZImS2oGzgWWFR2zDLgw3Z4H/DIiQtJISaMAJJ0BdEfEmoh4C9gm6dR0LGUB8O9VzMEKDHT8o9TVXGY2fFWtRRIR3ZIuBzqABuCOiHhe0jXAiohYBvwYWCxpPbCZpNgAjAc6JOWAN4D5Baf+KvAToBV4MH1YDRTeUjfP4x9mpqQXaXibOXNmrFixYqjDqHul7oh4+4KZTD38YLc6zIYhSSsjYua+jvPMdhswj3+YWSkuJDYoXsXXzIp59V8zM8vEhcTMzDJxITEzs0xcSMzMLBMXEjMzy8SFxMzMMnEhMTOzTFxIzMwsExcSMzPLxIXEzMwycSExM7NMXEjMzCwTFxIzM8vEhcTMzDI5IG5sJakT+L8KnW4s8E6FzjXUhksuzmP/M1xyGS55QHm5HB0R4/Z10AFRSCpJ0oqB3DGsHgyXXJzH/me45DJc8oDq5uKuLTMzy8SFxMzMMnEhGbxFQx1ABQ2XXJzH/me45DJc8oAq5uIxEjMzy8QtEjMzy8SFpICk2ZLWSlov6eoSr7dIWpK+/qSkSQWvTZe0XNLzkp6TdFAtYy+Ks6w8JDVJuiuN/wVJf1vr2IsNIJfPSHpGUrekeUWvXShpXfq4sHZR91VuHpJOKPhcrZZ0Tm0j7xNn2b+P9PVDJL0h6ZbaRNy/jJ+toyQ9nP6drCn8X1BrGfO4Pv1svSDpZkkqK4iI8CPp3msAXgaOAZqBVcC0omMuA25Lt88FlqTbjcBq4BPp8zFAQx3mcR5wb7o9EngNmLSf/04mAdOBu4F5BfsPA15Jf7an2+11mMfxwJR0+wjgLWB0veVR8PoPgXuAW4bqc1WJXIBfA2ek223AyHrLA/gU8Fh6jgZgOTCrnDjcItnrFGB9RLwSEV3AvcCcomPmAHel2/cBp6cV/ExgdUSsAoiIdyNiT43iLpYljwBGSWoEWoEu4P3ahF3SPnOJiNciYjWQK3rvWcAjEbE5IrYAjwCzaxF0CWXnEREvRcS6dPtNYBOwzwliVZLl94GkGcDhwMO1CHYfys5F0jSgMSIeSY/bHhEf1CjuYll+JwEcRFKAWoAm4O1ygnAh2etIYEPB843pvpLHREQ38B5J6+N4ICR1pE3Ib9Qg3v5kyeM+YAfJt97XgRsjYnO1A/4dBpJLNd5baRWJRdIpJH/0L1corsEqOw9JI4DvAVdVIa5yZPmdHA9slfSvkp6VdIOkhopHODBl5xERy4Ffkfy9vwV0RMQL5QThQrJXqb7B4kva+jumEfg94Pz051xJp1c2vAHLkscpwB6SLpTJwNclHVPZ8AZlILlU472VljkWSR8BFgN/FhF9vu3XSJY8LgN+HhEb9nlkbWTJpRH4feBK4GSSbqWLKhPWoJWdh6TjgI8CE0iKz+ckfaacIFxI9toITCx4PgF4s79j0u6fQ4HN6f7/jIh30ibuz4GTqh5xaVnyOA94KCJ2R8Qmkv7ToVweYiC5VOO9lZYpFkmHAP8BfCsinqhwbIORJY/TgMslvQbcCCyQ9N3KhjcoWT9bz6bdSd3Av7F//733Zy7wRNo1tx14EDi1nCBcSPZ6GpgiabKkZpJB6GVFxywD8lf/zAN+GcmoVQcwXdLI9B/zZ4E1NYq7WJY8Xif5ViJJo0g+VC/WKO5SBpJLfzqAMyW1S2onGcfqqFKc+1J2HunxPwPujoilVYxxIMrOIyLOj4ijImISyTf5uyOizxVGNZTls/U00C4pP1b1Ofbvv/f+vA58VlKjpCaS/1tldW0N2VUT++MD+EPgJZI+6L9L910D/FG6fRCwFFgPPAUcU/DeC4Dngd8A19djHiRXnyxN81gDXFUHv5OTSb6V7QDeBZ4veO+fpzmuJ+kSqrs80s/VbuB/Cx4n1FseRee4iCG+aqsCn60zSK7UfA74CdBcb3mQXKm1kKR4rAG+X24MntluZmaZuGvLzMwycSExM7NMXEjMzCwTFxIzM8vEhcTMzDJxITGrIUmvSRo71HGYVZILiVmdSCe7mu13XEjMqkDSJEkvKrm/y2pJ90kamb58laSn0sdx6fFfUnJvmGclPSrp8HT/tyUtkvQwyTLgZvsdFxKz6pkKLIqI6STL8V+W7n8/Ik4BbgF+kO77H+DUiDiRZCnwwhWkZwBzIuK82oRtNjhuKptVz4aIeCzd/inwtXT7Xwp+3pRuTwCWpKv8NgOvFpxnWUTsrHawZuVyi8SseorXH4oS+/Pb/0iy/tTHgUtI1kPL21Gd8Mwqw4XErHqOknRauv1lku4rgHMKfi5Ptw8F3ki3h/T+8maD5UJiVj0vABdKWk1y7/hb0/0tkp4E/hq4It33bWCppP8G3ql1oGZZePVfsyqQNAl4ICI+NsShmFWdWyRmZpaJWyRmZpaJWyRmZpaJC4mZmWXiQmJmZpm4kJiZWSYuJGZmlokLiZmZZfL/YPhLUUuLFbsAAAAASUVORK5CYII=\n", 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GEwekM29qFl+YkBm0axoTKpYQTMR4fX0hr28oDOo11+eXsT6/jG+/0vKo52Xfms6FvZODGJUxgWEJwYREQ2MTD/5zh9fjA4Cwnffos3/4iAFtbDJKiI3m6dsnkZluTU0mfFhCMCFRXHmSF9wGekW6/JLqNp/z1qaD/OcVFwQgGmPaxxKCCYm+aQlsuH+mXya3KyqvYd7Ta/0QVfv885uX0rVL2z5KUSL0z0gIUETGtI8lBBMyGUlxZCTF+VTGyYZGLn9kpX8CaqcfvbGVt+65NKQxGOMPNjDNRLS46Cju+9ywkF2/b2o8L351asiub4w/2R2CiWgiwl3TBzF7XF/+traAP67IbVc5Q3t1pbK2gUMVtYzPSuOpWyfSvWsXoqJsRlPTeVhCMBGt+HgtU3653Ody3EdMbywo90uZrfnljaNtxK4JK5YQTEi057HTczWpcqC0xo9RBVdGUmyoQzDmLJYQTEh0tMdO22Pf0apQh2DMWSwhmJDw52OnNfWNfPuVzew8dPys7Rf2SubWaQMY1Tfl9OpmZdV13PHsOgDe/M9LWi27sUnp5uOTUJ7YY6cmHNkCOaaZzQfKmf34v0MdRkRJjm/bd6vEuGgWLZjGwO5JAYrImDNsgRzTbt94aUOoQ4g4lbUNbT7+vR2HWTA9/FYzM52XV3cIIjILeBSIBp5W1YfP2T8d+AMwBpijqq+57XsHuAj4l6pe57Z9ILAIyAA2ALep6nmnsbQ7hOBQVT7ae4y6AK9oll9SxZHjte069y8ff+rnaIwJX0N7deXt/7qM2Oj2DR3z2x2CiEQDjwMzgUJgnYgsVtUdbocVAPOB73oo4rdAInDXOdt/DfxeVReJyJPAncATrcVjAk9EmDG0R6jDOC9LCKYz2XPkBE1BaN73psloCpCrqvsBRGQRMBs4nRBUNc/Z1+wrpaouF5HL3beJq4fvSmCus+l54AEsIRgvVFTXk5EUR2nVmRvKlPgYvnnlEC7o2fX0tjueW8fVI3rx2C3jufaxj6mua+Sdb00nNcEe9zTGE28SQj/ggNv7QsDXsfrdgHJVPdXwWuhcpxkRWQAsAMjKskE8BsY++G6zbcdrG3hoyc5m29/dcYRh979z5tyfNT/XH3587XC+etmggJRtTLB40yDlaey+r/cuXpepqgtVdZKqTurRI7ybMUxwuN8FhIvhfVJCHYIxPvPmDqEQ6O/2PhM46ON1jwFpIhLj3CX4o0zTSXxn5lC+7jwJNXNELx6bM56EuOizjvn5P3fwv2vy2fLA1WwqKOfmhWt4dv5krhjWMxQhGxMRvLlDWAcMEZGBIhIHzAEW+3JRdT3a9AFwk7PpduAtX8o0nUNtfePpZDB3ahZP3jqxWTIAyMkvY2xmGl1iohnR1/XtfVtRRVBjNSbSePvY6TW4HiuNBp5R1YdE5EEgR1UXi8hk4A0gHagFDqvqSOfcj4FhQFegBLhTVZeJyCDOPHa6EbhVVU+eLw577LRze/rj/fzi7eb9BG0xNjPV1i4wnY63j53aSGUTEVSVgT9YEuowTuuXlsDy78wgPrb53Ykx4cZGKpsOZe2npaEO4SxF5TWM/dm7zJ2aRc/keL522UBi2jloyJhwYXcIJiJk3/d2qEMICx9//wr6ZySGOgwTYby9Q7CvNCbsHSitDnUIYcOaqEwgWZORCXtdYsP/e8vfvjqViy/oHuowjPGJJQQTEqrK86vyyMkva/XYf245FISI2m7tD6+iV0p8qMMwxm8sIZiQKCyr4YF/7Gj9wDAW6NlgjQk2SwgmJCKhGag1l/3mg9Ovu3eNI+fHM0MYjTG+i/xPpYlIFdW+L50ZTuZOHRDqEIzxmd0hmJAY0iuZJ+ZNYGsL00mUnKjj5ZwDHvf5akxmKpf6qQO4f0Yicyb3P71mszGRzBKCCZnPje7D50b38bivuLK21YTwrc8MISU+lvLqOh5bkXveYwd0S2TWyN5Mys4gJsq/f7xX7j7q1/I6g2F9kumTmhDqMMw5bGCaCUs2EK3jy3v42lCH0GnY1BUmrJ042cBVv1vJkePnnc/QnGNMZioZSXGhDsNnN03MDHUIxgNLCCYkTtY3WjJohz/dMoGsbjZ1hQkMSwgmJFITYrnz0oF8vLd5+/ueIydCEFFk8LT2gzH+YgnBhMSRypP89V+fhjqMiFNb3xjqEEwHZgnBBNSbG4v41subQh1Gh+E+GC7SWady+LGBaSagVu07FuoQTBi6ZUpWqEMwHtgdggmo+68bAUBlbYNXxx+vreffuSWBDMlvVn73crK7J4U6DGP8xhKCCajk+Fh+c9NYr45VVWb8dmVgA/KjROvgNR2MJQQTFiqq67nydyspqaoLdSgAzL84m/FZaQzrndLiMWXV9ZQFYE6mfukJdO1iH00TfPZbZwLq02NVfO7Rj6itj6ypop9blcdzq0J3fetwNaFgncomoJ76cF/EJQNjOiuvEoKIzBKR3SKSKyL3edg/XUQ2iEiDiNx0zr7bRWSv83O72/aVTpmbnJ+evlfHhJtrx3ievM60bEJWWqhDMJ1Uq01GIhINPA7MBAqBdSKyWFXdl7sqAOYD3z3n3Azgp8AkQIH1zrmn1k2cp6o2W10HdtmQHq02f9Q1NDH0x0uDFFHbfPqra2xqa9NpeNOHMAXIVdX9ACKyCJgNnE4Iqprn7Du3beCzwHuqWursfw+YBfzd58hNRDhYXsOtf11L2Xk6iwPRMduSz47sxQOfH+nVsakJsZYMTKfiTULoB7hPTF8ITPWyfE/n9nN7/6yINAKvA7/QSJqL23hl5e6j7D9aFeowTlu2/QhP3dbqLMDGdEreJARPX5G8/cN9vnPnqWqRiCTjSgi3AS80K0BkAbAAICvLRjdGmrlTs7hmdG+aWviNKa+u48rffRjUmK54ZGWbjh/fP41HvjiWKD8vrGNMuPEmIRQC/d3eZwIHvSy/ELj8nHNXAqhqkfNvpYj8DVfTVLOEoKoLgYXgWiDHy+uaMJKW2Hz+/iPHa5n6y+UhiMb1KGxbjy+pquP5r0wJUETGhAdvEsI6YIiIDASKgDnAXC/LXwb8UkTSnfdXAz8QkRggTVWPiUgscB3wfttC996q3GPMfXptoIo3ncBvvzgm1CEYE3CtJgRVbRCRe3D9cY8GnlHV7SLyIJCjqotFZDLwBpAOXC8iP1PVkapaKiI/x5VUAB50tiUBy5xkEI0rGfwlAPUDYF8bvxGajmlEnxRmjujF0F7JjPPy0c4+KfHWVGQ6DVtT2YRMpKybvOH+mR1i2UrTeXm7prKNVDYhkV8SOXdtOw8dp/h4LScbbHEa07HZXEammfySKv7jiVVU1ARufEB9Y+Tcmc5z639KiI0mPTGW1MQ40hJiSUs89XPmfWpC3Ont6YlxpCbEEh9rM6Oa8NcpEsLhilq+//oWGptsTh1vRMp6BMFy3+eGUV5dT0VNHWVV9ZTX1FFeXU9eSRXlB+qp8WJZy/jYKNLcEsWp16nO6/REz8nEEokJpk6REBZ+tJ+P9jRfzN0Ybzy8dFerx8RECZt/ejXlNfWUV7sSRnn1meRRUVNPWVUd5TX1VFTXs//YidPH1DW2/EWlS0zU6QSSmhjrShwekkmq2/a0xFgSYqNtlLVps07RqdzYpKzZX0IEVbVDu/Wv9giwMW1x2ZDuPDt/MjHR7ev29bZTuVPcIRSUVvPDN7bSEEHt1h3ViZPeLaVpjDnj473HaGhSYgLcgtgpEsKrOQfIL6kOdRimA5uSncErd08LdRheqa1vpKLG1VxVVl13un/E1cR1bpNXPRXVdZRVn7+vJCZKnD4QVwd7unt/SIJbx7tb01bftASibYxHWOkUCeF7n72QW6bYPEjBUFFTz81PraaqrnM9ovlJXmmoQ/BafGw08bHR9EqJb9N5tfWNHK85lTTcEodbMqlwkszB8lp2HqqkvLquxd+FjffPJN3Gd4SVTpEQRIT+GYmhDiNiLNl6iG+8tCHUYZgwcyqR9GxjIqlraKK8po6K6rOTSUpCbIAiNe3VKRKCaZveqW37wBtzPnExUfRMjqdnsv1ehTtLCKaZCVnpAVnkPVKmqjCms7KEYILijY2FoQ7Ba2MzU9t8zn2fGx6ASIwJLksIJigykrqEOgSv/P1rFzFtcLdQh2FMSFhCMH5VW9/ID9/Yyu7DlWdt337weIgi8s51Y/rw6/8YQ1IX+0iYzst++41fLfqkgP/bUBTqMNrsn1sOcdPETC6/sGeoQzEmZDpFQig+XusaqdzSwr7Gb46dOBnqENolu1siz63K47lVee06/yuXDGT60B7+DcqYIOsUCeGJD/fx/s7iUIdhwlheSTV5PoxmX7n7aECezDImmDpFQvjRNcNd397sBiHoHnl3d9j1Hzx2y3iS/dxXMLodTyYZE246RUKIiY7iCmsb9trJhkae+VcetV7M898afySDmChhcI+uxMYI9Q3K7iOuDuvUhFj6ZyScdezQXslMG9SNwrKaFsvbV3wCgAHdErlxfD+bJtoYR6dICKZtnly5n9+/vyfUYZzW0HQmCbirqKmnoujsVd22FR1vU6d2ZnoiUwZm+ByjMR2BJQTTzN2XDyIuJqrddwi7D1dSVl3H2k9DM+FbXHQU47LSaO17/4BuiTQ0NbF6n+8rxA3vk0xaok3UZiJbp1ggxwTP6n0l3PKXNaEOIySsU9mEK1sgx4TEgG6hmVV2ysCMVu8IAumuGYNCeHVj/MOrhCAis4BHgWjgaVV9+Jz904E/AGOAOar6mtu+24EfO29/oarPO9snAs8BCcAS4L81km5XjEfFlSfp2iWm3Sujrfzu5WR3TwKgtKqOt7cc5P82FrGxoBwRuHhwN24cn8msUb3paqOKjfGrVpuMRCQa2APMBAqBdcAtqrrD7ZhsIAX4LrD4VEIQkQwgB5iE66HP9cBEVS0TkU+A/wbW4EoIj6nq0vPF0t4mozX7S5izsHM2Y5jgWDB9ED+8xia4M+HJ2yYjb1ZsngLkqup+Va0DFgGz3Q9Q1TxV3QI0nXPuZ4H3VLVUVcuA94BZItIHSFHV1c5dwQvADV7E0i67DoXXc/Cm41my9VCoQzDGZ97cc/cDDri9LwSmelm+p3P7OT+FHrYHxPxLBjL/koGBKr5DO1xRy4aCMtbnu362H6ygvtF1VzmgWyITs9KZMCCdCVnpXNg7megoafe6B4lx0cwa2Zsbxvfj4sHdOHy8lq2FFWwurGBrUTlbCiuorHU1RXWJiWJE3xTG9EtldGYaYzJTGdyjq63Ra4wPvEkInj5h3rb1t3Su12WKyAJgAUBWlq2LHAw7Dx3nzyv3sSG/jKLy5gO8srslMiErnW5dXY9Z5pdUkV9S5fN1PzO8F11io1i67RBLt539jTsrI5HMtEQKSqvZWlTBiZMNbCwoZ2NBOZAPuBLKqL6p3DC+H3On2u+KMW3lTUIoBPq7vc8EDnpZfiFw+TnnrnS2Z3pTpqouBBaCqw/By+saH2wpLGfFziMorj+y5yquPMk72w97PLe9jwXERUexZr934wES46I9xgWQV1LF+vwySwjGtIM3CWEdMEREBgJFwBxgrpflLwN+KSLpzvurgR+oaqmIVIrIRcBa4MvAH9sWugmUmydncfPk9v1Bvep3K9l3tOW7hVH9UvjdF8fxxsYinvxw3+ntL9w5hW5JcWQkxZGWGGdNP8aEgFcD00TkGlyPlUYDz6jqQyLyIJCjqotFZDLwBpAO1AKHVXWkc+5XgB86RT2kqs862ydx5rHTpcA3W3vstL1PGa3KPcbcp9e2+TxjvDX/4mwe+PzIUIdhjEd+HZimqktwPRrqvu0nbq/XcXYTkPtxzwDPeNieA4zy5vq+2nfM9/ZtY87no71HQx2CMT7rFCN7brtoALddNCDUYXR4724/zIIX17fpnGG9k7njkux2N1EZY/ynUyQEE3grdxe3ORl8+qtrbOppY8KINwPTjGnVkF7JpCfGen38vKlZlgyMCTOWEIzPGhqbuOThFZRV1zfb95nhvTye8/PZQek+Msa0gSUE4zNPj4Y9e8dkJmSl8f7OI832fXvmUKLssVJjwo71IRifLd3mGqQ2sHsSf719Euvzy7jj2XWn9w/rnczh47WUO3cQt0/0vB9cAAARN0lEQVTLDkWYxphWWEIwPntjQyF9UuN5ecFFTPnl8tPbu3aJ4YKeXdl0oPz0tmfnTya1DX0NxpjgsSYj45OjlSf5aO8xDlXUnpUMrhrWkyiBbUUV3D1jMHdckk10lDDZ1i82JmzZHYLxyT82H6Sx6Uwvwrj+aZxsaGL5rmIuHtyNB2eP5IKeyXzhz/9mbGaqLWpjTBizT6fxySs5Z2Y3H9c/jU0HyumV0oU/3jKe68b0QUQ4cbKBzYUV3G3LTBoT1iwhmHbLLT7BrsOVp99vOlDOgumD+K+rhpx1J7Aur5TGJuXiwd1DEaYxxkuWEEy7vbmx6Kz37947naG9kpsdt3pfCXHRUUwckN5snzEmfFhCMO3mfnfwyY+uomdyvMfjVu8rYXxWGvGxntcwMMaEB3vKyLTbtz4zBHAtMN9SMjhyvJZtByuYNrhbMEMzxrSDJQTTbn/5eD8JsdEsmO65s/hgeQ23/GUNXWKiuGZ0nyBHZ4xpK2syMu2SW1zJ4s0HuWv6YLp37dJs//6jJ7j16bVU1jbw4p1TPfYtGGPCiyUE0y5/eH8viS3cHWwrquD2Zz4B4O8LLmJUv9Rgh2eMaQdrMjJttvtwJW9vPcT8S7LJSIo7a19+SdXpZqJX755mycCYCGJ3CKbNHl2+h6S4GL52WfO7g2XbD1NZ28A/7rmU7O5JIYjOGNNedodg2iS/pIolWw9zxyXZpCXGNdu/Ib+cAd0SLRkYE4EsIZg2eXvrIQDmTGm+BrKqsr6gjAlZNgDNmEhkCcG0yZKthxiflUa/tIRm+wrLajhaeZIJNiLZmIhkCcF4Lb+kim1Fx7m2hTEFGwrKAJiQlRbMsIwxfuJVQhCRWSKyW0RyReQ+D/u7iMjLzv61IpLtbI8TkWdFZKuIbBaRy93OWemUucn56emnOpkAOdVc9LmWEkJ+GUlx0VxoYw6MiUitPmUkItHA48BMoBBYJyKLVXWH22F3AmWqeoGIzAF+DdwMfA1AVUc7f/CXishkVW1yzpunqjl+rI8JoCVbDzGuv+fmIoD1BWWM7Z9GTLTdeBoTibz55E4BclV1v6rWAYuA2eccMxt43nn9GnCViAgwAlgOoKrFQDkwyR+Bm+Bqrbmouq6BnYcqrUPZmAjmTULoBxxwe1/obPN4jKo2ABVAN2AzMFtEYkRkIDAR6O923rNOc9H9TgJpRkQWiEiOiOQcPXrUq0oZ/zvTXNTb4/4thRU0NqlNcW1MBPMmIXj6Q61eHvMMrgSSA/wBWAU0OPvnqepo4DLn5zZPF1fVhao6SVUn9ejRw4twTSCcai7KTE/0uH99vqtDebx1KBsTsbxJCIWc/a0+EzjY0jEiEgOkAqWq2qCq96rqOFWdDaQBewFUtcj5txL4G66mKROGzm0uampSVuw6Qm194+ljNhaUMbhHksfBasaYyOBNQlgHDBGRgSISB8wBFp9zzGLgduf1TcAKVVURSRSRJAARmQk0qOoOpwmpu7M9FrgO2OaH+pgAcG8uUlV+ung7X3kuhzX7SwDXgLQNBeXWf2BMhGv1KSNVbRCRe4BlQDTwjKpuF5EHgRxVXQz8FXhRRHKBUlxJA6AnsExEmoAizjQLdXG2xzplvg/8xY/1Mn60ZOshxjpPFz28dBcvrskH4MLeyVSdbOC3y3ZTWlXHmk9LQhypMcYXXk1up6pLgCXnbPuJ2+ta4IsezssDLvSwvQpXB7MJc6eai350zXD+uCKXpz7ajwhEifDcqjz+traAylpXt9AtHqazMMZEDntg3JzXPza7uouKymv4f+/tYUjPrqhCY5Pyl49cK6adcvf0waEK0xjjB5YQTItUldfWFwLw3Ko8APYWnwAgPjaKV+++mNKqOgCmDswgKsrjk8PGmAhh6yGYFn245yh5JdUe99XWN/EfT6w6/X7tp6Vc8vAKAGKjhd99aZyNSTAmwlhCMM00NDbxyLt7ePLDfW06r6i8hthoYdrg7vRMbr7OsjEmvFlCMM3klVS1KRkkx8dw5bCezBzRixlDe5AcHxvA6IwxgWIJwTQTHeV919KN4/vxm5vGEGsT2hkT8exTbJpxf3IozsMf+h9fO5yfzx4JwL2fGWrJwJgOwj7J5iwvrs7jol8tP/2+rtE1U/nvbx7Lf14xmJgo4YsT+3P/W9sRgf4ZnqfCNsZEHksI5izVdY3NtkVHCQmxMeTklREdJdy8cDUAqtDCJLXGmAhkCcGc5WuXDaJ3SjwAUc4dwCt3TePyC3uw9tNSTjY0setwJeBqLjLGdBzWqWzO8tr6Qg4frwXghnH9+NnskVTU1DP8J+80O/aaFtZGMMZEJksI5rS3NhXx/de3ADAhK42MpDhGP/Bui8df0LNrsEIzxgSBJQQDwJ9W7OWRd/ecfr+hoJwNBeUtHv/QjaOs/8CYDsb6EAwAF/RMJiXeu+8H04f2YN7UAQGOyBgTbHaHYACYNao3w/skM+O3K8973G/+YwzXje0TnKCMMUFlCcEA8O/cY8x7em2z7f0zEuiTksAneaW8e+90hvZKDkF0xphgsITQyZ1saOTCHzd/guin14/ghnH9SE+K477Xt7D7SCUX9LBOZGM6MksIndxuZ0wBwKyRvfnVF0aTnhR31jE5+WVMHJBu6x0Y08FZQujkund1TVP9vc9eyH9ecUGz/WVVdeQWn+DG8f2CHZoxJsjsKaNObum2wwBcM9pzR/H6/DIAJmdnBC0mY0xoWELo5JZsPcTwPikM7J7kcX9Ofhmx0cKYzNQgR2aMCTZLCJ3YoYoa1ueXce15pqDIyStlVL9U4t2mxDbGdExeJQQRmSUiu0UkV0Tu87C/i4i87OxfKyLZzvY4EXlWRLaKyGYRudztnInO9lwReUxs2GvQvdNKc9HJhka2FFVYc5ExnUSrCUFEooHHgc8BI4BbRGTEOYfdCZSp6gXA74FfO9u/BqCqo4GZwO9E5NQ1nwAWAEOcn1m+VcW01ZKthxjWO5lBLTxOuq2ogrqGJiYOSA9yZMaYUPDmDmEKkKuq+1W1DlgEzD7nmNnA887r14CrnG/8I4DlAKpaDJQDk0SkD5CiqqtVVYEXgBt8ro3x2pHjteTkl3m8O1BVNhSU8ejyXABLCMZ0Et48dtoPOOD2vhCY2tIxqtogIhVAN2AzMFtEFgH9gYnOv01OOe5l2nONQbR06yFUz24uOl5bz1sbi3hpbQG7DleSFBfNf1815PSjqcaYjs2bhOCpbV+9POYZYDiQA+QDq4AGL8t0FSyyAFfTEllZWV6Ea7yxZNthLuyVzOAeSWw6UM7f1xawePNBauobGdk3hYduHMXscf3o2sWGqhjTWXjzaS/E9a3+lEzgYAvHFIpIDJAKlDrNQfeeOkhEVgF7gTKnnPOVCYCqLgQWAkyaNMlj0jBtU3y8lnV5pYzpl8q1j/2LHYeOkxAbzexxfbllShZjMlNtamtjOiFvEsI6YIiIDASKgDnA3HOOWQzcDqwGbgJWqKqKSCIgqlolIjOBBlXdASAilSJyEbAW+DLwR7/UyLRq+a5iVGFzYQXD+6Tw8xtGccO4viTHx4Y6NGNMCLWaEJw+gXuAZUA08IyqbheRB4EcVV0M/BV4UURygVJcSQOgJ7BMRJpwJZPb3Ir+OvAckAAsdX5MEIzqm8r8i7P5/Li+jO+fZncDxhjA9e091DF4bdKkSZqTkxPqMIwxJqKIyHpVndTacTZS2RhjDGAJwRhjjMMSgjHGGMASgjHGGIclBGOMMYAlBGOMMQ5LCMYYYwBLCMYYYxwRNTBNRI7imiTPF92BY34IJxxYXcJTR6oLdKz6dNa6DFDVHq0dFFEJwR9EJMebEXuRwOoSnjpSXaBj1cfqcn7WZGSMMQawhGCMMcbRGRPCwlAH4EdWl/DUkeoCHas+Vpfz6HR9CMYYYzzrjHcIxhhjPOgwCUFEZonIbhHJFZH7POzvIiIvO/vXiki2274xIrJaRLaLyFYRiQ9m7J60tz4iEisizzv12CkiPwh27Ofyoi7TRWSDiDSIyE3n7LtdRPY6P7cHL2rP2lsXERnn9ju2RURuDm7kzfny/+LsTxGRIhH5U3AibpmPv2NZIvKu83nZ4f63IVR8rM9vnN+znSLymLRlBSxVjfgfXCu57QMGAXHAZmDEOcd8A3jSeT0HeNl5HQNsAcY677sB0RFcn7nAIud1IpAHZId5XbKBMcALwE1u2zOA/c6/6c7r9Aity1BgiPO6L3AISIvEurjtfxT4G/CnUNXDH3UBVgIzndddgcRIrQ9wMfBvp4xoXMsaX+7ttTvKHcIUIFdV96tqHbAImH3OMbOB553XrwFXOZnzamCLqm4GUNUSVW0MUtwt8aU+CiSJSAyu5UnrgOPBCdujVuuiqnmqugVoOufczwLvqWqpqpYB7wGzghF0C9pdF1Xdo6p7ndcHgWKg1YFCAeTL/wsiMhHoBbwbjGBb0e66iMgIIEZV33OOO6Gq1UGKuyW+/N8oEI8rkXQBYoEj3l64oySEfsABt/eFzjaPx6hqA1CB625gKKAissy5Bft+EOJtjS/1eQ2owvUNtAB4RFVLAx3weXhTl0CcGwh+iUdEpuD6wO7zU1zt0e66iEgU8DvgewGIqz18+X8ZCpSLyP+JyEYR+a2IRPs9wrZpd31UdTXwAa7P/yFgmaru9PbCHSUheGojO/fxqZaOiQEuBeY5/94oIlf5N7w286U+U4BGXM0SA4HviMgg/4bXJt7UJRDnBoLP8YhIH+BF4A5VbfbNO4h8qcs3gCWqeqDVI4PDl7rEAJcB3wUm42qmme+fsNqt3fURkQuA4UAmriRypYhM9/bCHSUhFAL93d5nAgdbOsZpTkkFSp3tH6rqMedWcQkwIeARn58v9ZkLvKOq9apajKs9MZRD9b2pSyDODQSf4hGRFOBt4MequsbPsbWVL3WZBtwjInnAI8CXReRh/4bXJr7+jm10mmcagDeJjM9/S24E1jhNXyeApcBF3l64oySEdcAQERkoInG4OlkXn3PMYuDUUyo3ASvU1QuzDBgjIonOH9YZwI4gxd0SX+pTgOtbgYhIEq5fhl1BitsTb+rSkmXA1SKSLiLpuPp7lgUoTm+0uy7O8W8AL6jqqwGM0VvtrouqzlPVLFXNxvXN+gVVbfYkTBD58ju2DkgXkVP9OVcSGZ//lhQAM0QkRkRicf0987rJKGQ96QHomb8G2IOrXfZHzrYHgc87r+OBV4Fc4BNgkNu5twLbgW3Ab0JdF1/qg+spiVed+uwAvhcBdZmM61tRFVACbHc79ytOHXNxNbNEZF2c37F6YJPbz7hIrMs5ZcwnxE8Z+eF3bCauJw23As8BcZFaH1xPFj2FKwnsAP5fW65rI5WNMcYAHafJyBhjjI8sIRhjjAEsIRhjjHFYQjDGGANYQjDGGOOwhGBMO4hInoh0D3UcxviTJQRjgswZAGlM2LGEYMx5iEi2iOwS1xoTW0TkNRFJdHZ/T0Q+cX4ucI6/XlzrU2wUkfdFpJez/QERWSgi7+KastiYsGMJwZjWXQgsVNUxuKYS/4az/biqTgH+BPzB2fYv4CJVHY9r2mL32XMnArNVdW5wwjambezW1ZjWHVDVfzuv/xf4L+f1393+/b3zOhN42ZnVNA741K2cxapaE+hgjWkvu0MwpnXnzu+iHrafev1HXHP7jAbuwjXn1ClVgQnPGP+whGBM67JEZJrz+hZczUIAN7v9u9p5nQoUOa9Dvga0MW1hCcGY1u0EbheRLbjWd37C2d5FRNYC/w3c62x7AHhVRD4GjgU7UGN8YbOdGnMeIpIN/FNVR4U4FGMCzu4QjDHGAHaHYIwxxmF3CMYYYwBLCMYYYxyWEIwxxgCWEIwxxjgsIRhjjAEsIRhjjHH8f4PTwac9/N4qAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "txdf.plot(x='pbar',y='P')" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1706: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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MepK8hBBiAgXMMCfahq5TGAiFuffp3by0pwGAc+cU8q2PLSbDaZusMJOeJC8hhJgg/lAkcQ1Vp7C1M8jtj+xg5/F2AC4/bSpf++A8bIaarDBTgiQvIYSYACOpU3i4uZNb1m/neJsfBXz5wrlcdcY0lJLENVqSvIQQYpw8/hCN3uCQiWtbbSt3PLqDdr+Jy25w60cX8f75xZMYZWqR5CWEEOMwkjqFz++q47+e2U0orCnIdHDXFZUsmpI7SRGmJkleQggxRsPVKdRa8+e3DvPb1w4CMKMwk3uurGRKXsYkRZi6JHkJIcQYDFen0Axb3PfcXp6qOgHAaRV53LlqCTlux2SFmNIkeQkhxChorWnwBPAOUe7JGzC587EdvHO4FYCPLC7jxosX4LBJRb6JIslLCCFGyLI0dR4/vuDgZZzq2v3cuqGKA40dAHzuvJl8/ryZw84oVEpRmOWc0HhTmSQvIYQYgZHUKdxT5+HWDVU0dwSxG4obL17AxUvKhz23zVCU5bpxO2SR8khJ8hJCiGGMpE7h6/sbuesfu/CbFlkuG2tXLeH0GQXDntvlsFGW48IuXYqjIslLCCGGEApH6hQOlbge2XqUn724D0tDea6be66sZGZR1rDnznbbKcl2ySLlMZDkJYQQgxiuTmHY0jzw8n7WvXMUgFPKc/jeFZXDjl0ppSjMdJKXKTMPx0qSlxBCRDFcnUJ/KMzdT1bz6r5GAN43r4jbPrpo2HErm6EozXFLEd5xkuQlhBD9dAZN6toHr1PY3BHk9keqqD7hAeATZ0zjyx+YO2xxXafdoCzXLVPmJ4AkLyGE6GW4OoWHmjq4ZX0VJ9r9GAq++sF5rD592rDnzXbZKcmR8a2JIslLCCG6tPlCNHkHr1O49XAL335sJ96AidtucPvHF3H+3OGL6xZluWR8a4JJ8hJCCKClI0jLEHUK/7njBD/85x5MS1OY5eTu1ZUsKMsZ8pwyvhU7kryEEGmv0Rug3Re9TqHWmv994xB/eOMQALOKMrnnyqWU5bqHPKeMb8WWJC8hRNoark5hKGzxw3/u4dmddQCcMSOf76xaQrZr6EtnliuyfsuQ3ZFjRpKXECItaa2paw/QGYyeuDz+EN9+bAfvHmkD4NLKcr5x0fxhK2EUZjnJz5QahbEmyUsIkXasrjqF/kHqFB5v83HL+ioON3cC8MX3zeIz58wYcqagoRSluS4ynXJZnQzyvyyESCtm2OJEu5+gGb3c067j7dz+SBUtnSEcNsX/d8lCPryodMhzOmyR8S2nXca3JoskLyFE2hiuTuErexv53pO7CJoWuW47ay9fwrLp+UOeU8a34kOSlxAiLQTMMHVtAUxrYOLSWrNuy1H+38b9aGBqvpt7Vi+lojBzyHMWZDopkD244kKSlxAi5flDYeraoxfYDVuan724j0ffPQbA4ik53HVF5ZCTLgylKMlxkTXMrEMRO/I/L4RIaUPVKfQFw3z3iZ28WdMMwIoFxdyyciGuIYrryvhWYpDkJYRIWd6ASYMneuJq9Aa4dUMV++q9AKw5q4IvvX82xhAzCjOddkpzZHwrEUjyEkKkpHZ/iEZP9DqFBxo7uGX9duo9AQwF//bh+Vx26tQhz5ef6Rx2ny4xeSR5CSFSTmtnkOaO6HUKNx9s5s7Hd9IRDJPhsHHHZYs4Z3bRoOcylKI4xzVsVQ0xueTdEEKklCZvgLZB6hQ+uf049z23l7ClKc52cs/qpcwtzR70XA6bQWmuC5ddCusmGkleQoiUoLWmwRvA6x9Y7snSmt+9dpA/v3UYgLklWdy9eiklOa5Bz5fhtFGa4x52g0kRH5K8hBBJT2tNvSdAR5QCu0HT4vtPV/Pi7gYAzp5VwB2XLR6yjFNehoOi7METm4g/SV5CiKQ2VJ3CNl+IOx6tYvvRdgAuO3UKN3xo/qCtKdW1fkvGtxKfvENCiKQVtjTH23xR6xQebfFxy4bt1Lb4ALhuxRw+tXz6oMV1ZXwruUjyEkIkpaHqFFYdbeP2R6po95s4bIpbLl3EhaeUDHouGd9KPpK8hBBJJ2hGEle0OoUbd9dzz1PVhMKavAwHd12xhCVT8wY9V16Gg8Is55DbnYjEI8lLCJFUBqtTqLXmoU1H+NUrBwCYXpDBPVcuZVp+RtTzKKUoznaS43bEPGYx8SR5CSGShi8YSVxWv3JPYUvzk+f38o9txwFYOi2P716+hNyM6InJbkTGt9xD1DAUiU2SlxAiKQxWp7AjYLL2HzvZdLAFgA8vLOWmS04ZtHCu22GjLFfGt5KdJC8hRMIbrE5hfbufWzdUUdPYAcBnz53BF86fNej4VW6GgyIZ30oJMa3pr5RaqZTarZTap5S6OcrjK5RSW5RSplLqqiiP5yqljiqlfhbLOIUQiau1Mxg1ce2t8/DVB7dS09iBzVDcdPECvvi+2VETk+qqT1ic7ZLElSJi1vJSStmAnwMfAWqBTUqpx7TWO3s97TBwLXDjIKf5LvBSrGIUQiS2weoUvlnTxNp/7MQfsshy2vjOqiWcObMg6jlkfCs1xbLb8Gxgn9a6BkAp9RBwOdCTvLTWB7seGzDfVSl1JlAGPA0sj2GcQogE1OAJ4PEPTFyPvnuMn76wF0tDaY6Le65cyuzirKjncDlslOW4sNtk48hUE8t3dBpwpNf3tV33DUspZQA/Am4a5nnXKaU2K6U2NzQ0jDlQIUTi0FpT1+4fkLgsrfl/L+3nJ89HEtf80mx+fs3pgyauHLeDqXnulEtcct2LiOW7Gq1jeeB2ptF9BXhSa31kqCdprX+ptV6utV5eUjL46nkhRHLorlPYv8BuIBRm7eM7eXhzLQDnzinkx586LWrxXKUURdkuSnJSc3xLrnsRsew2rAUqen0/HTg2wmPPA96vlPoKkA04lVJerfWASR9CiNQQ7kpcgX4Fdls6g3zrkSp2HvcAsPr0aXzlwrlRp7rbDEVZrlvGt9JALJPXJmC+Umo2cBRYA1wzkgO11p/p/rdS6lpguSQuIVKXGbY4HqVO4eHmTm5Zv53jbX4U8JUPzuUTZ0yPeg4Z30ovMXuXtdYm8DXgGWAX8LDWeodSaq1SahWAUuospVQtcDXwgFJqR6ziEUIkpqBpcax1YOJ6r7aVrz+4leNtflx2gztXLRk0cWW77Sk5viUGF9NFylrrJ4En+913R69/byLSnTjUOX4P/D4G4Qkh4mywOoXP7arjB8/sJhTWFGQ6+N7qShaW5w44XilFYZaTvEHKQInUJRU2hBBxEa1OodaaP711mN+9dhCAmYWZ3HPlUsrz3AOOtxmK0hw3GU4Z30pHkryEEJOuI2BS369OYShs8d/P7uGZHXUAnFaRz9pVS8h2D7xMOe0G5bnSTZjOJHkJISZVtDqFXr/Jtx/fwdbDrQBcvLiM/7x4AY4oySnbbadEyjylPUleQohJ09YZoqmjb+I60e7nlvXbOdTUCcC158/k/5w7M2pyKspykZcp41tCkpcQYpI0dwRp7Qz2uW/3CQ+3bthOS2cIu6G48ZJTuHhx2YBjZXxL9CfJSwgRc9HqFL62r5HvPbELv2mR7bKz9vIlnFaRP+BYp92gLNcdtQtRpC9JXkKImNFaU+8JDCj3tH5LLT9/cT8aKM91c8+VlcwsGlijMNtlT9kyT2J8JHkJIWLCsjR1Hj++4MlyT2FL8z8v7Wf9lqMALCzP4a4rKinMcg44vjDLSX7mwPuFAEleQogYiFan0BcKc/cTu3htfxMAF8wr5taPLhxQh9BmKEpyXGQ65fIkBie/HUKICRWtTmFzR5DbNlSxuy5SXPfqM6dz3Yo5A4rryviWGClJXkKICRM0Lera+yauA40d3LphO3XtAQwFX/vgPK44feDWflmuyPotI0q1eCH6k+QlhJgQATPMiba+dQq3HGrh24/voCMQxu0w+NbHFnPe3KIBx8r4lhgtSV5CiHHzhyKJq3edwqerTvCjZ/cQtjRFWU6+t7qSBWU5fY4zlKI0V8a3xOjJb4wQYlz61ynUWvP71w/yxzcPAzC7OIt7VldSmtu3uK7DFhnfctplfEuMniQvIcSYefwhGr3BnsQVNC1++M/dPLerHoDlMwv49mWLyXL1vdTI+JYYL0leQogx6V+nsN0X4o7HdrCttg2Ajy4t598/PH9A5feCTCcFUdZ1CTEakryEEKPWv07hsVYft6zfzpEWHwBfumA2nz67ok9lDENF1m/1b4UJMRbyWySEGJX+dQp3Hmvn9keqaPWFcNgU31y5kA8tLO1zjIxviYkmyUsIMSJaaxo8Aby96hS+vKeBu5+qJmha5LrtfPfySpZOz+tzXKbTTmmOjG+JiSXJSwgxLK01de0BOoNmz/d/e6eWB16qQQNT893ce+VSphdk9jkuP9MZtW6hEOMlyUsIMaT+dQrDluanL+zjsfeOAbBkai7fvXxJn0XGhlIU57jIlvEtESPymyWEGJQZtjjR7idoRso9+YJh1v5jJ28daAbgwgUl3Hzpwj5jWQ6bQWmuC5ddNo4UsSPJSwgRVShscaJXgd0GT4DbNlSxr8ELwJqzKvjS+2dj9JpRmOG0UZrjHlBwV4iJJslLCDFAwAxT1xbAtCKJa3+Dl1vXV9HgjRTX/feLFvDxZVP6HCPjW2IySfISQvTRv07hpoPN3Pn4TjqDYTKdNr592WLOmlXY83zVtX5LxrfEZJLfNiFEj86gSV37yTqF/9h2nB8/twdLQ0m2i7uvrGRuSXbP82V8S8SLJC8hBNC3TqGlNb959QAPvn0EgHml2dy9upLibFfP82V8S8STJC8hBG2+EE3eSJ3CoGlx71PVbNzTAMA5swu54+OLyXCebF3lZTgo6pXIhJhskryESHMtHUFauuoUtnWGuP3RKnYcawdg1alT+fqH5vW0rpRSFGc7yXE74havECDJS4i01ugN0O6L1CmsbenklvVVHG31oYDrPzCHq8+c3lNc124YlOXJ+JZIDJK8hEhDWmsavAG8/ki5p+21bXzr0Sra/SZOu8Gtly5kxYKSnue7HTbKcmV8SyQOSV5CpJn+dQpfrK7n3qerCYU1+RkO7rqiksVTc3uen5vhoCjL2Wd7EyHiTZKXEGnE6qpT6A+F0Vrz4NtH+PWrBwCoKMjgniuXMjU/A5DxLZHYJHkJkSbCluZ4m4+gaWGGLX7y/D6e2H4cgGXT81i7agm5GZFEZTci67fcDhnfEolJkpcQaaB3ncKOgMmdj+9k86EWAC5aVMqNF5/SU1xXxrdEMpDkJUSKC5qRxGVaFvXtfm7dUEVNYwcA/+fcGVx7/qye8SwZ3xLJQpKXECnMHwpT1+4nbGn21Hm4bUMVTR1BbIbiPz+ygJWV5UBkfKso20mujG+JJCHJS4gU5QtGEpelNW/WNLH2HzvxhyyyXDbuvGwJZ8wsAGR8SyQnSV5CpKCOgEm9J1Jg99F3j/LTF/ZhaSjNcXHPlUuZXZwFRMa3SnNc2G3GMGcUIrFI8hIixXj8IRo8ASyteeClGv72Ti0AC8qy+d4VlT01CXPcDoqzZXxLJCdJXkKkkLbOEE0dAfyhMPc8Vc0rexsBOH9uEbd9bBEZDpuMb4mUIMlLiBTR3BGktTNIc0eQ2x+povqEB4DVp0/jKxfOxWYoGd8SKUOSlxApoMETwOMPcbipk1s2bOd4mx8FfPWDc7nyjOkAuBw2ymR8S6QISV5CJDGtNQ2eAN6AybtHWrnj0R14AyZuu8FtH1vE++YVAzK+JVKPJC8hklTvArvP7qzjB8/sxrQ0BZkO7l69lFPKc1BKUZjlJC9DxrdEapHkJUQS6i6w6wua/OnNw/zu9YMAzCrK5O4rl1LeVd6pLNct41siJUnyEiLJmGGLE+1+OgIm//3sHp7ZUQfAGTPy+c5lS8h222V8S6Q8SV5CJJHuArstHUG+/fgOth5uBeCSJWX8x0cW4LAZZLvtlGS7ZHxLpDRJXkIkiYAZpq4tQG1LZEbhoaZOAL7wvll89pwZGIYh41tpxtI63iHEjSQvIZJAd4HdHcfauG1DFS2dIRw2xU2XnMJFi8qwGYrSHDcZThnfSidtvlC8Q4gbSV5CJLjuAruv7G3grid2ETAtctx21q5awqkV+TjtBuW5bhnfEmlETWPlAAAgAElEQVRFkpcQCcwbMGnwBFj3zhF+8eJ+NDAlz809Vy5lRmGmjG+luTTuNZTkJUSiaveHqGvz84uN+9mw9SgAi6fkcNcVleRnOinKcpGXKeNb6UzGvIQQCaW1M8jRVh93/WMXb9Q0AbBifjG3XLqQTJddxrcEAGFLkpcQIkE0eQPUNHi57ZEq9tR5Afjk8ulct2IOboeNslw3DhnfEkAoLMlLiLS1sbqeB16u4UhLJ9nOyJYhtS2ddIYsLEujFFgaFGAYCqdNkem0saAsl+tXzOHChaWDnnNPXTuhsMZpN5hfmjPo86GrTqE3wPbaNm5Zv516TwBDwQ0fns+qU6eS7bJTkiPjW+IkXygc7xDiRpKXSGsbq+u547EdOGwKm4J9DR2ELU3vz7PdwwqaSDeNz9IETIsDjV7ueGwHa6FPQuo+Z9AM0+43gciMwYNN0Z8f+Rmaek+Al/c08J3HdtARDJPhsHHHZYs4Z3aRjG+JqPyhMMdafUzNz4h3KJNO+h5EWrv3qV3Ue/wcbu7kSIsPs1/iGoylweM3cdgUD7xcE/Wcde0BzLAGHWmxtfuiP9+yNMfb/Kx7p5ab12+nIximKNvJjz91KufPLWZKXoYkLjGoB98+HO8Q4iKmLS+l1ErgJ4AN+LXW+t5+j68AfgwsA9Zordd13X8a8D9ALhAGvqe1/mssYxXp5/7n9lDdNaY0Fh3BMMdbfRxs6uTTv3yT61fMYVtt64BzhiwNliYA7G/ooMET6HnshZ11/PSFveyp99IRjHQBzSnJ4p7VS5lWkCHjW2JIboeN3756gE+fPSPtWl8xS15KKRvwc+AjQC2wSSn1mNZ6Z6+nHQauBW7sd3gn8Dmt9V6l1FTgHaXUM1rr1ljFK9LLxup6/vu5veM+T2fIAuCNmia2Hm5mJOPn7X6Tubc+yZRcF96ASTCs6exKXC67wefOmcns4iyKs10YhoxvicHlZTiwNNy6YTu//fxZafX7EsuPdGcD+7TWNVrrIPAQcHnvJ2itD2qttwFWv/v3aK33dv37GFAPlMQwVpFm/vPhrRN+Tr+pCYX1iP6owpamttVPq8/sSVx5bjsl2U7+sf04pbnutLoQibGxG4qbL13Ixt0N/OjZ3fEOZ1LFMnlNA470+r62675RUUqdDTiB/VEeu04ptVkptbmhoWHMgYr009RpxuzcY5m8XJzlpDTXRa7bQV27f8JjEqmj93XP09qM3VCcNauAn7+4n7+8lT7jX7FMXtE+No7q71opNQX4I/AFrbXV/3Gt9S+11su11stLSqRhJhLDaJOXoaAo20VLR5DqOg9HWnws+84z3P/cnpjEJ5Jb7+teTn4hSilWnTqNBWXZ3Lphe9pM4IjlhI1aoKLX99OBYyM9WCmVCzwB3K61fnOCYxNppPc6roqCTFo6EqtlYwBNXh+NHZHWoMOIrN/5yQv7ALjhogVxjE4kA5uh+Mw5M/nzW4e4Zf123qxp4pzZRVxzzox4hxYzsWx5bQLmK6VmK6WcwBrgsZEc2PX8DcAftNZ/i2GMIsV1r7mq9/jJz3Cw5VAT1XUd8Q6rD2WonsTltBnYbTbshoGh4NevHohzdCJZOGwGnz1nJgvLc3j03WNsOtgc75BiKmbJS2ttAl8DngF2AQ9rrXcopdYqpVYBKKXOUkrVAlcDDyildnQd/klgBXCtUurdrttpsYpVpK4HXq7BYVNkOu14/CaBBCxIUJztBMBlV9h6TdIwFD3T54UYCbvN4JqzZ7CgLJtHth7liW3H4x1SzMR0nZfW+kngyX733dHr35uIdCf2P+5PwJ9iGZtID0daOsnPcHCizUeDNxjvcKI63hZZ9xU0NXbD6tmXy9KQJcV3xSh97vxZfPKsCq751Zt88+/bOGt2AaU57niHNeGkPJRIeN94aAuPbTtB2NLYDMWqZeXct+aMER1bUZDJruNttPpiN7twomgiC5pNK9wz6ePjS09OROo/djdUnUQRO8nwPrgdNn5w9al8+Ecvse6dWr5y4bx4hzThJHmJhPaNh7aw4d2TXR9hS3d9v2VECez6FXO49vebYhjhxNNEpuoWZDp453AbG6vrAXpqMOZnOKj3+Aetkyhip3ctzER9H7qny2utcTsMXtrdQH6Gc8hjknFih9SdEQntsW0nAFDq5K33/amqcloe0woye2oh9h67UyryNVqdRBFbyfQ+7G/owB+ymJqXmmWjpOUlEtpgm+2NZBO+jdX1/OufNk90SJMqw2GjtqUTDeRnOKI+JiZP9xhqb4n4PvhDYdZvqaUoy8mpFfnxDicmJHmJhGYzVNREZRtB6aQHXq7BZybfZn29X5ovFGZ6QSYA9R4/mU571MfE5KgoyEzY96F31983123DEzBZ9+XzOH1GQRyjih3pNhQJbdWyciCyp1b3rff9Q9l+tCWWocVMrtuO1prOoEkorLl+xRyuXzGHUDhyX//HxORJhvdhX72Hv24+wr9cMDtlExdIy0skuMikjNHPNlx530a8gQEVxRKazVCcPTMflEFtSyfT+81kW0ukNRntMTE5LlxYylW1rfz61QN0BMNkOW186YLZcX8fere6XtvXBMDnzpsZr3AmhSQvkfDuW3MG960Z+fO/8dCWSauiMTXfzbFWPwq4bNkUthxuweWwkeGw4QuFCYU1a1ctAU7OFux+rM0XQgG5GY6e+462BVi7aknUi+GFC0vjfpFMdxur61m35SglOS5mdL1n67YcZdn0/IR5b3IzIpf1uvZAQnRnxookL5HwRrOuZmN1fZ+p9bF2rNWPy25w56olPLL1KC6HrWc8JNNppzNo9sxEC5phmrwmwbCF02YQNCPVMzqD4Z77ctx2Hni5JmEuhKKv3rMNoe97HM/3rHc1+ctOnUJehoO1j+/gr9efh9uRmgvdJXmJuBhpQhrJupruc+2pa6epIzSpr6Mg08GP15zOBxaU8LMX9w06E60zaNLcEepZfBwKnyz7ZIQ1NqUww5qmjiBmuH0SX4EYjWSYbZjjdvBfVy3j+j++w81/38Z9nzoNpVJvbziZsCEm3cbqem5c9x5bj7RQ1+5n65EWblz3Xs9i3N6GW1fTu/DuZCcugBkFmeiu2ZAVBZn4Qn1rEfpCYY62+Gjqlbj6MwyFUqpn88ngSLZjFnEx2HucaN1zlywp58aLF/DIu8f49SupWdx5yJaXUsoNfBmYB2wHftNVcFeIMbv3qV20doawKYVNKbQFrZ0h7n1q14DW13CfdLuTmxmnC/7ueg//8ofNLCjN5tLKctZtOUpn0OwZw9rfMPzYm6U1SnXNpNTgtMtnykR1/Yo53PHYjj7vcaLNNuzuQizIdFI5NZe7n9zF8TY/80qzBz0mFSts/C+wnEjiuhT4UcwjEinvQFMnhurb4jBU5P7+hvuke6SlkwyHjSNx6rbRFtgUHGjsYN2Wo1x1xjRKc9y0+UIjLoZq71rLZjcUxTlO5pfmxDhqMVYXLixl7aolfd7jwSbYxJtSik+cOZ2SHBfr3jlCIJRaOxQMN+a1WGu9FEAp9Rvg7diHJNJBuLsAre4q+wTYbQP75ft/0m3qCNDcEeJoSydzb32SsKWpbfFN/gvoYhgKTeT1OGyKN2qaefC6c3sen3XzE8OeozzPPaJP8fEuCHv/c3sGTBFPx40yE3XW52Ctp9Mq8rnyf17nWJuP2z62eJKjip3hWl49gwjSXSgmSkm2k7CObPmhiXwN68j9/fX+pHui3U9zRwi7AX5Tj6hE1GTQOrKJZHd35sbqej79yze54PsvDHtsrts+ok/x/TfV7J64Em2cMBbuf24P9z23F4/fJGxpPH6T+57by/3P7ZmUny/G7vQZBaw5awa/efUAWw8n58L9aIZreZ2qlOqe+qSAjK7vFaC11rkxjU4ITn7S/fQv36Te4+dAY2QcqWecKI4srdEaSnJc+EJhsl32PrMjh2oVOm2K+9ecPqJP8fGeov0/L+3vM+FE97o/HVtfyeaWjy7k5T0N/OfD7/H41y8gy5X8E82HfAVa69RcICDiqsEbxG50tby6ug0NxaCbRXZ3l719sBmXTdHd4Ip34jK6ujvL81zYDEUorHEYuk+SmVmYyaHmgeNx0/Nc3LV62YgTT7ynaPtCkWolvWdca33yfhF/vdd6RbOyspzfvnqAj//0VT5/3qyeiUHJOFkDZKq8iJP+iWewRNS7u8xtNwglSFehzVD89vNncfqMAixNT5efNxjGDFvUNHipPtFOozdASbYDl92goiCD8+YU8ftrz+LVWy4aVYsp3lO0B1sllHqrh1LX3JJsrl5ewcHGDv745kH8ST6BI/nbjiLplGQ7qW3193zfnbimRBnz6t1dVpzt4libL9JnPUmxDiZs6agD99lP2djX0NGzDMAMa1o6TeaVZPH0Nz4w5p8X7yna0wsyONLiG/AfP70gNfeKSlWnVeRz7pxCblq3jf994yC/+MzIdiRPRNLyEpMux+3Apk5+aldEppvnuB0Dnts9FR4iNQATfWO9nkoGqtet9/1jFO8p2t+9vJK8rpp53fkrL8POdy+vnJSfLybOlWdM56/XnUsgZLH6F6/z0NuH0fHugx8DaXmJSecJmEwvyKDRG+yp6Vec7cQbGDihtf/+SbkZjri3uobiCZgUZNpp6ghh6ci4WFGWI+prG614TtG+cGEpP/nU6VLVPkUsn1XIEzdcwL//9V1uXr+dtw82c9cVlX32KUt0yROpSBkVBZkcbPL2uS8YtphVNLACQP/uspoG74DnJJJsp43jrb6erlCtobkjxPxSV3wDmwCJur5JjE7viR2XLCnHaTPYsOUoO4628+vPL6eiMLFKXQ1Gug3FkO5/bg/LvvMMc299kmXfeWZC1vWcN6eQuvYAHcHIuE1HMExde4Dz5hQOeG7/7rLOBJ/d1hEME9Ynu9Y0kTVsHcHkHhwXqclQig8vKuPa82dxot3P6l+8xr76xP6A2E1aXmJQ9z+3h5+8sA9Dgd2IzG77yQv7AMa1tuepqhOgT67TUl0zMJ6qOhH1vN2f+Ffet3HMPzMWNlbXD2iJnGjzR33uYPeL5BPvSiexML8shy+8bxa/fLmGz/z6Tb7+ofkYE1CJPpbT8KXlJQb161cPdCUuA0MZXV8j949HTWMHdpvCbY9s2ui227DbFDWNgxexncwNJkfCUPRUtu/N7OovVOrkrff9IrnFu9JJLJXmuLm0spy69kBSfNiSlpcYVEcwTP8C54aKTxfYZG4wORJaE3WBsE2BqQeuW4tStlEkoXhXOhmPkbSCynJd/H3LUS5aXMZpFfmTENXYSctLDCrLaaP/mmBLR+4fj9lFmVgaLEujtcayNJaO3B9NItbP00T/f5hXko1B32UARtf9Ivn1XrrRLdE2oxyPE+2RFldpTuJPMJLkJQb1pQtmY2kwLQtLW11fI/ePx82XLiI/04EyIKw1yoD8TAc3X7oo6vN//Pzecf28WLCp6Gu3br50EYXZTlwOA4dN4XIYFGY7B31tIrnEu9JJrFV0vY7ndtXFOZLhSbehGFT35ImJ3gbjwoWl/PCqU0e0ZmjOzU+QiPMLs132qGu3RvPaIDUH/1NZvCudRDORkyLOn1vE++cX8+3HdnCgsYNvfGQBuVGKByQClYwrq6NZvny53rx5c7zDEBPolNueIJDAM8wrCjJ45ZsfGvPx3YP/DpvqcyFM1M0NRUT3B44YLtYe8QjpnEXLdM2ubRP5s/EFw3zvyZ38+a3DFGW5uPWjC1l9+rRxV4kZoRH/EGl5ibgYrsXxjYe2JHTiAjjRNr5NMJN58D+dJdpi7eGqyY/F4il5/OsH5vLYe8f4j4ff4zevHuDqMyt6KtFPtLG0HiV5iUm3sbqer/xlC51dsxZrW3y8V9vKL66JFAl94OUa3qhpimeIIzLe9dLx3uZEiKFML8jkyx+Yy2v7Gnm66gRPu0+w6tSp8Q6rhyQvMeluXPdeT+Lq1hkMc8NDW8nPdHKsNTku3uPtROlftxFSa/BfJD9DKc6aVcjr+5to8CTW2i9JXmLSNQ6y6WS738RQYCbiDI0onONcvJWIg/9Dkckl6aem0cv6LUfx+EN84ozpCbVxpUyVFwml1Tf+6uuTJcc9vs9+Fy4s5aozptHgCbDrhIcGT4CrzpiWkAkhlStLiIGCpsWj7x7l169Equl88YLZzCtNrLWK0vISYgzKc13MLh7fH/PG6nr++OYhgqaFQhM0Lf745iGWTc9PuAQmk0uS12hbSwEzzBd+t4m3DzbzhffN4qZLTknIrVISLyKRUu5/bs+AdWK5bjvt/uRpYfXnNMBpt427e+/7T1fT0hnCZijsNgOtoaUzxPefrk64hHCkpRObgpoGb5892GRySep5flc9r+9v4vufWMqnzkqcbsL+JHmJmBmsKr22NF2F5JPSmbOKJmS8p6axA0PRU71bKdBKD1mgOF6ynTb2NXRgUwqbUphhzdFWP/NKsuIdmphg4a6acBkJ2NrqLbGjE0mtd1V6oGsyhkWIyGQHW9f9QTOyB1ayePC6c0d9TLTJDsmkZ4Gq4uQ0Sx29RJZILKNdBxa2NNMLMviPv77LpgPNLJqS2/OYTNgQaaEjGMayNL5QuOdmdX2q6y7Ma4aTK3EBfPqXb45qosLG6npuWvceWw+3cKLNx9bDLdy07j1KshyjKlAcT56AybR8N3ZDEbY0dkMxLd8dtUSWSG42Q3HtebOYkufmz28dYuvhlniHFJUkLxEzdsWAxBTWYDdUT2HeBN8YOarRzrTrHtvSEBnbIjK2pQxjVAWK46miIBO7zWBOSTYLy3OZU5KN3WbImrQUlemy88ULZjO7OIu/b6lNyLFNSV4iZgZrUBkKfnjVqZxeUTCp8UwEmxGZaeewqaibUUbTe2xLoTCUwlBQ7wn0/D+U57o5vaKAH151asJN1oDImrRQWNMZNNE68jWR16SJ8XPZbVxz9kycdoO3aprjHc4AMuYlYsbsvxlYv/uToQRUb4qTW0ZMVBmnRKuTN5gLF5ayFmJdkFYkmC+8bxa/fe0AJTmuhBrvAkleg5JqAuOnlAKt6T2m372Jwb/+KfF3AFhYlkVBlpsth1tQQHmem5yu7SFGU8ZpdlEm+xo6UFbk/0LryJjfvOLk6nJLlkQrJs6f3zrE0VYfN11ySrxDGUC6DaOQagITI8MRyVpan7xB5MLtMxN/lkZ1XQcPXncuD3z2TEpz3dgMNaYus9FuvilEImjyBrj7yWpWLCjh8tMSpyBvN2l5RSHVBE4aTwt06bQCdh1vo91vYunIWFeu255UJaBg/F1mo92gUoh46N0taFmaNb96E7uhuPfKpQm5JEKSVxRSTSCi92aJvVuga2FEF97uwrNF2a6ewrNtvlDsA4+hsbYXpcstdaTDkMIf3jjI2wea+a+rljE1PyPe4UQlySuKbKeNPXVeNJGLlRkOc6TZx4KyxCpMGWvjbYFGa7Hsb0i86hGDOW92ZDZk9zotj9/EtCwaPQFuWvceP0jQmYEidsb7gS6RdS9mbvAE+NmLezmlLIeQaQ25yDmekzgkeUXhDZj0Xn7UncTSbUHmWFugg30yrbzjqUmKfPwU8OD15wORdVqN3mBPq8u0LALeYELWIIyldGhxDCfVhxR8wTB/3XQYh81g9RnTErK7sJtM2IiiwRvEbkTGaBT01OZrGGQfqlSV47JztNWPaWlshsK0IvXssl2Df+YZbLLLpx94HW8wOVYk2w3FwvKcnu/31HkGdBfqrvvThUxiijjS0kmGw9bnvlTZ/bq5I8ivX62hrj3A1WdOJ9ftGP6gOJKW1yAMpXDYTub2sJUcF96JpLunB3ZfuXW/+6MY7JPpGwcSs8RMNAWZDr65cmHP94OVr0q2slbjkeotjpFKxd2v15xVwYObDvPAS/tRCn5z7XIuPCXx31NpeUUxpzgrUnNOazQaS0dqzs0pTq8K2t5gOFLPzqYIa43dFqln1xEMD3rMkZZOzLBFTYOX6hPt1DR4afclV4tVxrIGSuUWx2ikWqWRmkYvq//ndW7bUEXltDyeuOH9SZG4QFpeUX1z5UJueHAL3mC4Z4p3ttPW59N4Ouj+lDmn5ORElc6gSWmOe9Bjsp029tZ7sfTJyS5DJbtEoojsjiyJa6BUbHGMRapUGqlr9/PMjhNUn/CQ67bzo6tP5coEH+PqT5LXIFwOG8GwxrQs7IaBq9+nznTQPdW9M2j2THUf7lNmRzBSJb5754xk6lkzDMWXLpgd7zAS0lh+F1JVMi97aPOFeG5XHVsOteC0G1yyuIzz5xXziTOnxzu0UZPkFcUDL9eQm+GgPO/k+oZ07N+/cGEpV9W2DtgJeaj/g3pPALvRteVJEmUum6H4tw/N44aLFgx4bLCdn3Pd6fPnkyotjnTlD4V5aU8Dr+9vxNJw/twiPnhKKZlDTL5KdMkbeQwdaekkP6PvTJt07N/fWF3Pui1HKclxMaPr0/a6LUdZNj0/pS5aLrvBA589c9DXlJvhIBAKE+g1Q8NlU+RlJPZsrImWzC2OdHTNOTPQWrNh61H++9ndNHqDXH7aVG68+BQqCpO/u1eSVxTSvx8xlhlmJVkOatsCkxnmuH31wrlDXpRzXHZO6EiS6y6sG7b0kEsGhIi3PXUebn+kircPNHNaRT6/u/Zslk7Pi3dYE0ZmG0Zx/Yo5tPlC7K33UH2inb31Htp8obTr3x/TDLMkGvAFWH3alKhdhb1173IcNC38IYugafXsfixEornmnBk47QYf/+mr7KnzcO+VS1n/r+enVOKCGCcvpdRKpdRupdQ+pdTNUR5foZTaopQylVJX9Xvs80qpvV23z8cyzmgUgO5a09Q1ASHdVBRk4gv1nSk4XAv0WKs/1mFNiMjeXBnct+aMYZ/b4A2g+v2lKAMavcnVwhTp4S9vHebGv73H8pkFPP8fH2DN2TMwjNS7gsWs30MpZQN+DnwEqAU2KaUe01rv7PW0w8C1wI39ji0Evg0sJzJh7Z2uYydlpatM2Ii4fsUcblr3HkdbfD2zLnPcdr71scUDnqu15pW9jSTyUu7uyhndM+XWrloyouNCYY2hFE7HyQxmWhbBdFqlLJLCaRX5XPazV/ngKSX88nPL+xRaSDWx7LQ/G9inta4BUEo9BFwO9CQvrfXBrsf6X/MuAZ7VWjd3Pf4ssBJ4MIbx9kiXqvIjqVXnD4UJhq2u2YMW/tDANVthS/P3LUe445EdkxX6iLjtBmGtcdoMspw22vwmbb7QqGfKOe0GHQETfziM5mTJMKc9dS8MIjn997O7yXXbue9Tp6V04oLYJq9pwJFe39cC54zj2Gn9n6SUug64DmDGjImrbpzjsrO33ovNUH1q+s0vTZ2q8iOpjn3vU7vwhSwcxsmJCr6Qxb1P7ep5TsAM84sX93P/83sTbk1X752PO4Mmc0tzePC6c0d9npJsFy0dQVCgurNX1/1CTLbe173i8pOXxeaOIM9X1/P1D84jP9MZr/AmTSxTc7RO1pFe30Z0rNb6l1rr5Vrr5SUlJaMKbih9avp13xi6pl+y6T2TUKnIV4dN8cDLNT3POdDUiaEii3eVUhiGwlCR+yGy4PHW9dv5SVfiSrS5Gifa/BNSwkdrjVIKp2Hgshs4DQOlVEr9Pojk0fu6l5Nf2H0fT1Udx1CKDKedv7x1uOeWqmKZvGqBil7fTweOTcKx4zaWmn7JZry16o62+PjKn97h71uOAlA5NZdEu5ZrIgm2NMfN2lVLxjxemQ6/DyK5battY8exdi5aVJY26w9j2W24CZivlJoNHAXWANeM8NhngLuVUgVd318M3DLxIUY3lpp+yWYka9nmFGext96L0rrP+qaKQjdf/P0mdndtCfLJ5RU8t2PSPluM2BkzCsbUTdhfOvw+iORUmOXkokWlfP/pak6ryOfn15yOPcXHurrF7FVqrU3ga0QS0S7gYa31DqXUWqXUKgCl1FlKqVrgauABpdSOrmObge8SSYCbgLXdkzcmQ6pVjo5mJK/xmysXUpDpQAFm2AKtyXLZafWZ7K7zYCj4xkXzuXt1Jc2+xGqFOA0m7P1Kh98Hkbxu3bAdfyjMjz55atokLgCVKv32y5cv15s3b56w83XPxEvlOm4jeY3dzznc3IHbYeNoqw9/yMLtMLhz1RKuOrOCV/Y0cO3vN8XlNXRvGNp71nqOy+Cnnx683NNYpMPvg0gYIx49nrd4mTZX3cPtH1vEl96fEh+mRvzaJXmJYbV0BHnw7cP86Nk9hC1NUZaTH33yVFbML+HlPQ3c8NDWqIVr+8t22QiakS5IpSBkWlhAUZaT+aU5khCEiBjxBTxr2gJ98W2/Y92Xz8eWGguRR/wipDibGJRlaera/fxi4z7++GZk1tLs4ix+/KnTWDY9j5d2N3DHYzvoCA6duCoKMtCWxXFPAJtSoCFkaew2g69eOHfY8kxCiOhMS3PzyoWpkrhGRZKXiCpoWhxp7uSep3bx3K56AM6cWcAPrlrWM3Ghe7q9226LOvPOUFCY6YhMM3famZ5vUOcJEAprFpTm8M2VC6WlJcQ4OGwGZ88ujHcYcSHJSwzQGTTZV+fl9ker2FbbBsBHl5Zzx8cX9ymZ1b11TEmOi86utV/dndDdtSFbfCYOu0FeRmRmXm6Gk86gSX6mUxKXEOOU4bAl1e7HE0mSl+ijpSPIjmNt3LJ+O0dafAB86YLZfPWDcynIOllRYmN1Pe2+EMfbfLjtNvIyHLT5Qj2PKwU2pbC0ptETxGW39VS7SMe90YSIBYctPRMXSPISXSxL0+ANsOlAM7c/UkWrL4TDpvjmyoV88qwKct0nFz52l5bKdEY2qAyGI9uEFGQ6aOmMJLAMh42SHBcNngDBsEWDJ9CTvNJxbzQhYiEVq8WPlCQvQdC0qGv38/yuOu5+qpqgaZHrtnPXFZV8eFEZWf02Xewe68rLcOOy22j0BgiYFjAd0EIAABeuSURBVKalKcxyMCUvo6crQ2s41ubDb4bRWvdUdJc1UkJMgNSYLD4mkrzSXGfQpK7Nz183H+GBl2rQwLT8DL7/iaWcObOQDKdtwDHdY10AuRkOcjMcaK17Krb3rtyRm+EgYIbpDIbHVNFdCDG4NM5dkrzSWWtnkAZPgJ++sI/H3ouUd1oyNZe7V1eycEouLvvAxAVDl5a6fsUc7nhsB51BkwxHpFvRabdx75XLJGEJISZM+tQSET0sS1Pf7udoi4/bH6nqSVwfWFDCT9acxqIpeYMmLjhZLqnB46emwcuu4+3Utvg4b04hFy4sZe2qJZTmuCekKK4QYnA6jdte0vJKM6FwZHzrWKuPWzdUsa/eC8Casyr41wvnMi0/Y9j6aBcuLOWq2lZ+vnE/pmXhshnkZTr4w5uHeKrqBJ6ASUVBJt+9vFKSlhCxlL65S5JXOvEFw9R7/Oyp83Dr+ioavAEMBf9+0QI+ceZ0ynPdQ67U773zcrsvRGGWg+LsyPqtdl+IBo8Pr99kXml21M0thRATK41zlySvdNHWGaKpI8Cmg83c+fhOOoNhMp027vj4Yj5wSgllOe4hp912T48PmmE8fpOOYORrOKzJcNo51BxZt2Vamh3H2rEbYAE3PLSV+9ecLglMCDGhJHmlOK0j67e8fpN/bDvOj5/bg6UjW9jffWUlp07PpyTHNegq/e7W1pbDLWitMS2NwzBQRD711XuDQLDvzwRCVmRAtTMYlhaYELGSxk0vSV4pzAxb1HkC+IImv3n1AA++fQSAeSXZfG91JXNKsinJcQ16/Mbqem5a9x4ev0nAtHrut7TGYTMIha0h/3YsIMNu4LApHni5RpKXEBMsjXOXJK9U5Q+FqW8P0Bk0+f7T1by4uwGAc2YX8q2PL2JqfiaFWc4hz/GtR6to8AYH3B+yNIYa2Z9NcbZLykEJISacJK8U1O4P0eQN0toR5FuPVlF1rB2AVadO5esfmkdprpu8DMeQ59hYXd9T27C7i7A3awS5SxFZpNwZNKUclBBiQknySiFaaxq9QTz+ELUtndyyvoqjrT4UcP0H5vDJ5RWU5Lh6agwOZmN1PTc8tHXc8RRnRxKXlIMSIjbStKA8IMkrZYS7No70h8JUHW3j9keqaPebOO0Gt166kA+cUkpZrqtPVYxoumcVenrtjDzafnWXTfVMAinNcUs5KCFiJI1zlySvVNA9vmVaFi9W13Pv09WEwpq8DAffu6KSyml5lOe5cTsGr5rR7YGXa2juCAyZsMpyXNR5AlEfU8Du7310bC9ECDEq6bqXF0jySnoef4hGbxDLsnjw7SP8+tUDAFQUZHDPlUuZUZhFWZ5ryHJPve041oY3MHBX5G6FmQ48/tCgj9vTeIuG/7+9O4+OqzzvOP59NKPdkizvO7YxxmCZLeCakACBY0JIYseEFkKakLRp0tKUnAbSYkwWHJaGpDQhSwunWUjaAMXFYAiJQ0pCEsK+2fKCsY13Y9mSrX32t3/cKzEzko2QZqRZfp9z5ujq3juaR/bM/PTe995nRIZbMb/aFF55yjlHc2eEtu4osXiC7/zfVn6xfj8Ap0yrY+WS+YwdVc6kugpK36bdU4/fbW6iPRw75j4nTqrluR0tR91+/Pjqgf8SIjI0RZxeasybh+IJx/7WEG3dUTrDMW5Y3dgbXBfOm8DtHz2FcTXlTBldOeDgAu+Q4bHOgK+tCHLvZxexcOYYJteVE7C3JowNCJbA9R84aQi/mYi8E0WcXQqvfBOKxtl7uNuf5wrxhfte4YWdhwH4xKIZ3HDJPGorS5lSV3nMPoX92X24i8qywFFfEJ95zyzA6ypfGggwobacymAJgRIoC5ZwzQUn6MQMkWGkOS/JCz3zW845thxoZ8XqRpo7IwRKjC8unssHGiZRXR5kwjHaPR3L9PoqYvEEkXiCRMIRTxqFnT2rnqe3t/A/33iC6fVVXHbGVJ7e3sKeki59wKTICCne6FJ45QXnHC2dEVq7vRMlntnezMpHNxKKJqguC/C1JfN513H1jKoIMqGmYtCP0/NBkmOry3pbQgVKjEsaJvLirlZKA8boylKa2kOsemmvPqdLREaMwivHxROOpvYQ3RHvDMCHX9nLd5/YSsLBhJpybrt0AbPGVVNXWcrYUUfvU3gsyR91UlMepKq0hNJASe+I6q7fb6c0YL3XiFWVBemKxNSvUGSEFfFRQ4VXLgvHvOu3ovEECee468ntPPDiHgBOnFjDLcsaGFNdxpjqMkZXHbtP4dH0XJTcM6rqjsaJxl3KB0ne+HAjo9PaSalfoYiMJJ2wkaM6wjH2HQkRjScIRePc9MjG3uB69/FjuePyUxlTXca4mvJBBxeQMqoy8772dIHvMb2+iu5o6rVf3dG4+hWKyIhReOWg5o4wTW2h3rmuax94lT+8fgiAS8+Yyk1L5lNVFmRibQW1b9On8O3sPtxFZVrnjfRR1efOnU007uiKxHDOqV+hSI6wIj5lQ4cNc0j6/Nau5i6Wr17P/tYQBlz9vuP56BnTKDFjYm0FlWUD65pxLNPrq2hqD6X0PEwfVZ0/bwIr8UZpew7r7EKRnFG82aXwyhXJ81sAr+4+wpcf3kBHOEZ5sIQbP3gS58wZR6DEC66B9CkciJ4zDLsiMSpLA71zXumjqvPnTVBYiUjOUHjlgI5wjIPtYZzzLqx6fOMBvrn2NWIJR31VKbcsa2DepFqCJSVMqqugLJi5o70aVYnkryIeeCm8RlpzR7j3+i3nHD97Zic/+dNOAI4bW8Vtyxb09iecXFdB8B20exoojapEJN8ovEZI+vxWNJ7gjse3sHbDAQBOnzGamz48n1EVQcqCJUweRLsnESlsxfyOoPAaAenzWx2hGF99ZAMv7zoCwPvnT+SLi+dSGiihsizAxJoKShRcIpKuiN8WFF7DrCMc41B7mIQ/v/Vma4jlq9ezs9k7Nf1T7z6OTyw6DjMbUp9CEZFCpvAaRi2dEY50RXq/3/xmGytWN3K4K0ppwLjuohNZfPJEgCH3KRSRwlfMf9YqvIZBPOE42B6mK/LWBz0+tfUQN/9iE+FYgpqKICuXzOfU6aMBhtSnUESKR/L1mcWmeH/zYZI+vwXwvy/t4Qe/3YYDJtdVcNulC5gxxrsoeCh9CkWkuGTyspl8o/DKok7/+q2e+a14wvGD321j9ct7ATh5cg03f6ShN6zG1ZQPud2TiEgxUHhlSfr8Vnc0zs2PbuLp7c0AnHvCOJZ/YB7lpQHMjAk15VSX679DRGQg9G6ZYYmEoyltfqu5I8yKhxrZcqADgMvPnMbfnDubErOM9ikUESkWCq8MisQSHGgLpcxvvXGok+UPrqepPUyJwTUXnsCSU6cAZLxPoYhIsVB4ZUj6/BbAizsP87U1G+iMxKksDfDlD53EotljAbLSp1BEpFgovDLgcGeEw0nzWwC/bHyTOx7fQjzhGDuqjNuWLWDOhFEAWe1TKCJSDBReQ5BIOA52hOkMvzW/5ZzjR0/t4L+f3QXA7PHV3LZsAeNrvOu2yksDTKqtUJ9CEZEhUHgNUn/zW5FYgtvXvsYTm5sAOGtmPV/50Mm9ZxGqT6GISGYovAahKxKjqS11fqu1O8pXHt7A+r2tAHxwwWS+cOGc3kOD6lMoIpI5Cq936EhXhJbO1PmtvUe6Wf7gevYc7gbgM++ZxccWTu8NqpqK0t7DhiIiMnQKrwFyzutP2JE0vwWwYV8rNz60gdZur7nu9RfP431JH+yoPoUiIpmn8BqAaNyb34rEEinrn9xykNt+uZlILEFtRZCbP9JAw9S63u3qUygikh0Kr7fRHYnT1B4innhrfss5x/0v7OHu328HYFp9JbctW8DU+srefdSnUEQkexRex9DaFaW5M5yyLp5w3PnE6zzy6n4AFkytZeXSBuoqvaBSn0IRkezTO2w/nPOu3+oIpc5vdUVirHx0E8+90QLA+04czz9fPK+3S4b6FIqIDA+FV5pYPMGB9jDhaDxl/cH2MDesXs+2g50AfPzPZvDpc2ZS4p9RqD6FIiLDR+GVJBSNc6AtdX4LYFtTB8tXr+dQR4QSgy8unsslCyb3blefQhGR4aXw8rV2R2npjOBcanA9+0YzKx/ZRHc0TlVZgK9++GTOmjmmd7v6FIqIDL+svuOa2cVm9pqZbTWz6/vZXm5m9/vbnzWzmf76UjO7x8zWm9kmM1uerRqdczS1h2juCPcJrkde3ceK1Y10R+NMqCnnzitOSwmu8tIAU0ZXKrhERIZZ1kZeZhYAvg8sBvYAz5vZGufcxqTd/ho47JybY2ZXAN8ALgf+HCh3zi0wsypgo5nd65zbkckajza/lXCO//zDG9z3/G4A5kwYxa3LGhiXdLGx+hSKiIycbA4ZFgJbnXPbnXMR4D5gado+S4F7/OVVwIXm9VRyQLWZBYFKIAK0ZbK4UDTOviOhPsEVjsb5+qObeoNr0ewxfOfy01KCq7o8yKRaBZeIyEjJZnhNBXYnfb/HX9fvPs65GNAKjMULsk5gP7AL+JZzriX9Aczss2b2gpm9cPDgwQEX1haKsr81RCyR2jGjtSvKdavW8eQW72ctPW0KX1/akHLqe01FKRNrK9RgV0RGxGDf9wpNNsOrv3d3N8B9FgJxYAowC7jWzGb32dG5u51zZzrnzhw/fvzbFtTTn/BQe9/5rd0tXfz9vS+xYV8bBvzdebO55oI5KZ+7NbqqTA12RWREvdP3vUKVzbMN9wDTk76fBuw7yj57/EOEdUALcCXwK+dcFGgys6eAM4Htgy0mnnAcaAsRSjtMCLB+TytffriRtlCM8mAJN1xyEu89YVzKPmOry6mrUrsnEZFckM2R1/PACWY2y8zKgCuANWn7rAGu8pcvA55w3pBoF3CBeaqBRcDmwRYSisbZe7i73+B6YnMT1616lbZQjNGVpdzxF6f2Ca7xNQouEZFckrWRl3MuZmafB9YCAeBHzrkNZrYSeME5twb4IfAzM9uKN+K6wr/794EfA414hxZ/7JxbN5g62kNRDnX0vX7LOcfPn9vFD/+4A4AZY6q4dVkDU0a/1VxXfQpFRHJTVt+VnXOPAY+lrftK0nII77T49Pt19Lf+HT42zZ0R2rqjfbbF4gm+/ZvXeazxTQBOm17HTUvmU5PUBV59CkVEcldBDiniCe/C4+5I38OEHeEYNz2ykRd3HgZg8ckTue6iuZQmXWgcKDEm1VVQHlRwiYjkooILr3AsTlNbmGg80WfbgbYQN6xu5I1DXnPdT559HFedfVzKae/qUygikvsKKrw6wjEO9nMaPMCWA+2sWN1Ic2eEYIlx7UVzef/8SSn7qE+hiEh+KJjwijtHU1uo321/2naImx/dRCiWoLo8wMol8zl9Rn3KPuWlASbVVqRc1yUiIrmpYMKrn8EWAKtf3sv3f7uVhINJtRXcemkDM8dWp+yjPoUiIvmlYMIrXTzhuOv321j14l4ATpxUwy0faWBMdVnKfqPKg4yvKVe7JxGRPFKQ4RWKxrnlsU08tbUZgHPmjGXFJSf1+ZTjmopStXsSEclDBRdeLZ0RVjzUyGtvtgPw0TOm8rfnHd9nLmt0VVmfUZiIiOSHggqvnc2dLH+wkTfbQpQYXH3+HC49I72RvfoUiojku4IJr65wjH+49xU6wjEqgiWs+OBJnDMntUehmTFuVFlKJw0REck/BRNeu1q6mBSOMaa6jFuXNTB3Yk3KdvUpFBEpHAXzTu6AmWOruPXSBUyqrUjZVmJeu6f0EzZERCQ/FUx41VWWcufHTmdU2shKfQpFRApPwYTXlNGVfYKrNFDCxFr1KRQRKTQFE17p1KdQRKRwFWR4qU+hiEhhK7jwUp9CEZHCV1DhpT6FIiLFoWDCK2DGhLRT5EVEpDAVzNkMGmyJiBSPggkvEREpHgovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJOwovERHJO+acG+kaMsLMDgI7s/gQ44BDWfz5maZ6sy/fala92ZWpeg855y4eyI5m9quB7ltoCia8ss3MXnDOnTnSdQyU6s2+fKtZ9WZXvtWb73TYUERE8o7CS0RE8o7Ca+DuHukC3iHVm335VrPqza58qzevac5LRETyjkZeIiKSdxReIiKSd4o+vMzsYjN7zcy2mtn1/WwvN7P7/e3PmtnMpG2nmNnTZrbBzNabWUUu12xmpWZ2j1/rJjNbniP1nmtmL5lZzMwuS9t2lZm97t+uyuV6zey0pOfDOjO7PJfrTdpea2Z7zex7w1Gv/5hDeU7MMLNf+8/hjcmvyRyt93b/ObHJzO40M8t2vUXBOVe0NyAAbANmA2XAq8DJaftcDfyHv3wFcL+/HATWAaf6348FAjle85XAff5yFbADmJkD9c4ETgF+ClyWtH4MsN3/Wu8v1+dwvXOBE/zlKcB+YHSu1pu0/TvAz4HvZfv5m4magd8Bi/3lUUBVrtYLvBt4yv8ZAeBp4Pzh+Hcu9Fuxj7wWAludc9udcxHgPmBp2j5LgXv85VXAhf5fThcB65xzrwI455qdc/Ecr9kB1WYWBCqBCNA20vU653Y459YBibT7vh943DnX4pw7DDwOZLubwKDrdc5tcc697i/vA5qA8blaL4CZvQuYCPw6y3UmG3TNZnYyEHTOPe7v1+Gc68rVevFecxV4oVcOlAIHslxvUSj28JoK7E76fo+/rt99nHMxoBVvlDUXcGa21j9c8E/DUG9KPb53UvMqoBNvRLAL+JZzriUH6s3GfQcrI49pZgvx3rC2Zaiuoxl0vWZWAvwr8KUs1HUsQ/k3ngscMbMHzexlM/ummQUyXmGqQdfrnHsa+C3ea24/sNY5tynjFRahYg+v/o49p187cLR9gsB7gI/7X5eZ2YWZLa9fQ6l5IRDHO6Q1C7jWzGZntrw+BlJvNu47WEN+TDObDPwM+LRzrs9oJ8OGUu/VwGPOud1vu2dmDaXmIPBe4DrgLLxDeZ/KTFlHNeh6zWwOcBIwDS/wLjCzczNYW9Eq9vDaA0xP+n4asO9o+/iH2+qAFn/9k865Q/5hi8eAM7Je8dBqvhL4lXMu6pxrwjsWn+1ebAOpNxv3HawhPaaZ1QK/AG50zj2T4dr6M5R6zwY+b2Y7gG8BnzSzf8lsef0a6nPiZf8QXgx4iOy/7oZS7zLgGf/wZgfwS2BRhusrSsUeXs8DJ5jZLDMrwzu5YU3aPmuAnrPcLgOecM45YC1wiplV+QFxHrAxx2vehfeXn5lZNd6LaHMO1Hs0a4GLzKzezOrx5hnXZqnOHoOu199/NfBT59wDWawx2aDrdc593Dk3wzk3E28k81PnXJ8z6bJgKM+J54F6M+uZS7yA7L/uhlLvLuA8MwuaWSne+4QOG2bCSJ8xMtI34BJgC97cxAp/3Upgib9cATwAbAWeA2Yn3fcvgQ1AI3B7rteMd2bWA37NG4Ev5Ui9Z+H9ddsJNAMbku77V/7vsRXvMFzO1us/H6LAK0m303K13rSf8SmG6WzDDDwnFuOd6bse+AlQlqv14p1heBdeYG0E7hiuf+NCv6k9lIiI5J1iP2woIiJ5SOElIiJ5R+ElIiJ5R+ElIiJ5R+ElIiJ5R+ElchRmtsPMxo10HSLSl8JLJAv8C9dFJEsUXlL0zGymmW0277PO1pnZKjOr8jd/ycye829z/P0/bN7npL1sZr8xs4n++q+Z2d1m9mu8j8YQkSxReIl4TgTuds6dgvcxMVf769uccwuB7wHf9tf9EVjknDsd7+Mxkj9R4F3AUufclcNTtkhx0qENEc9u59xT/vJ/Adf4y/cmff03f3kacL/fPb4MeCPp56xxznVnu1iRYqeRl4gnvU+a62d9z/J38foALgA+h9dLskdndsoTkWQKLxHPDDM721/+GN6hQYDLk74+7S/XAXv95Z7u/SIyjBReIp5NwFVmtg4YA/y7v77czJ4FvgD8o7/ua8ADZvYH4NBwFyoiqKu8iJnNBB51zjWMcCkiMkAaeYmISN7RyEtERPKORl4iIpJ3FF4iIpJ3FF4iIpJ3FF4iIpJ3FF4iIpJ3/h956bENC3QXUQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.jointplot(x=\"pbar\", y=\"P\",kind=\"reg\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\")) " + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "txdf['P_err'] = txdf.P-txdf.pbar" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1706: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.jointplot(x=\"agent\", y=\"P_err\",kind=\"reg\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\")) " + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1706: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.scatterplot(x='index',y=\"P_err\", hue = \"pbar\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\").reset_index()) " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.scatterplot(x='index',y=\"P\", hue = \"pbar\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\").reset_index()) " + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "txdf['P_err_factor'] = txdf.P/txdf.pbar" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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pbaramt
mediancountmedian
agentmech
0burn0.0956231.06.230984e+03
1burn0.0872141.08.232908e+03
2burn0.0928941.01.132977e+04
3burn0.0891871.08.745962e+03
4burn0.0947001.05.200334e+03
5bond0.0935851.02.649757e+02
6burn0.0883501.02.101888e+04
7bond0.1146411.09.231311e+02
burn0.11182921.06.697996e-09
8bond0.0997409.01.105946e-10
burn0.10436213.05.645150e-10
9bond0.10093716.02.419256e-10
burn0.10336183.03.345798e-10
10bond0.1032391.03.496507e+03
11burn0.0878451.07.690380e+03
12bond0.1044651.06.414623e+02
13bond0.10335643.02.695742e-10
burn0.103862176.06.261438e-10
14bond0.1006771.02.089321e+03
15burn0.0963391.06.100548e+03
16burn0.0962281.05.849735e+03
17bond0.1019291.01.169323e+03
18burn0.0975691.06.836172e+03
19bond0.1187503.06.912160e-11
burn0.1070422.06.457418e-10
20burn0.0971011.01.084869e+04
21burn0.0935922.07.336186e+03
22burn0.0969341.01.155001e+04
23burn0.0968181.07.359922e+03
24burn0.0966971.05.762642e+03
...............
74burn0.11683333.01.527098e-09
75burn0.0903141.02.032805e+04
76bond0.0989589.06.220944e-11
burn0.1030249.04.141506e-10
77bond0.0940511.05.038025e+02
78burn0.0963611.04.739317e+03
79bond0.1000861.06.057811e+02
80burn0.0952011.05.364865e+03
81burn0.0953123.09.500299e-09
82bond0.10364242.06.151822e-10
burn0.104951240.01.207330e-09
83bond0.0982681.01.059011e+03
84bond0.1011121.09.567733e+02
85burn0.0965981.05.002826e+03
86bond0.0996701.01.720954e+03
87burn0.0891721.01.356738e+04
88bond0.1024751.02.305358e+02
89bond0.1015011.02.307161e+02
90bond0.1035291.01.302401e+03
91burn0.0978481.07.391530e+03
92burn0.0929442.04.334518e+03
93bond0.1019151.03.244852e+02
94bond0.1000931.01.092874e+03
95bond0.11049566.09.538780e-10
burn0.1077531014.01.541549e-09
96bond0.10225717.01.036824e-10
burn0.10360229.06.697412e-10
97bond0.0989921.08.729285e+02
98bond0.0994881.02.999926e+02
99burn0.0971371.06.769772e+03
\n", + "

126 rows × 3 columns

\n", + "
" + ], + "text/plain": [ + " pbar amt\n", + " median count median\n", + "agent mech \n", + "0 burn 0.095623 1.0 6.230984e+03\n", + "1 burn 0.087214 1.0 8.232908e+03\n", + "2 burn 0.092894 1.0 1.132977e+04\n", + "3 burn 0.089187 1.0 8.745962e+03\n", + "4 burn 0.094700 1.0 5.200334e+03\n", + "5 bond 0.093585 1.0 2.649757e+02\n", + "6 burn 0.088350 1.0 2.101888e+04\n", + "7 bond 0.114641 1.0 9.231311e+02\n", + " burn 0.111829 21.0 6.697996e-09\n", + "8 bond 0.099740 9.0 1.105946e-10\n", + " burn 0.104362 13.0 5.645150e-10\n", + "9 bond 0.100937 16.0 2.419256e-10\n", + " burn 0.103361 83.0 3.345798e-10\n", + "10 bond 0.103239 1.0 3.496507e+03\n", + "11 burn 0.087845 1.0 7.690380e+03\n", + "12 bond 0.104465 1.0 6.414623e+02\n", + "13 bond 0.103356 43.0 2.695742e-10\n", + " burn 0.103862 176.0 6.261438e-10\n", + "14 bond 0.100677 1.0 2.089321e+03\n", + "15 burn 0.096339 1.0 6.100548e+03\n", + "16 burn 0.096228 1.0 5.849735e+03\n", + "17 bond 0.101929 1.0 1.169323e+03\n", + "18 burn 0.097569 1.0 6.836172e+03\n", + "19 bond 0.118750 3.0 6.912160e-11\n", + " burn 0.107042 2.0 6.457418e-10\n", + "20 burn 0.097101 1.0 1.084869e+04\n", + "21 burn 0.093592 2.0 7.336186e+03\n", + "22 burn 0.096934 1.0 1.155001e+04\n", + "23 burn 0.096818 1.0 7.359922e+03\n", + "24 burn 0.096697 1.0 5.762642e+03\n", + "... ... ... ...\n", + "74 burn 0.116833 33.0 1.527098e-09\n", + "75 burn 0.090314 1.0 2.032805e+04\n", + "76 bond 0.098958 9.0 6.220944e-11\n", + " burn 0.103024 9.0 4.141506e-10\n", + "77 bond 0.094051 1.0 5.038025e+02\n", + "78 burn 0.096361 1.0 4.739317e+03\n", + "79 bond 0.100086 1.0 6.057811e+02\n", + "80 burn 0.095201 1.0 5.364865e+03\n", + "81 burn 0.095312 3.0 9.500299e-09\n", + "82 bond 0.103642 42.0 6.151822e-10\n", + " burn 0.104951 240.0 1.207330e-09\n", + "83 bond 0.098268 1.0 1.059011e+03\n", + "84 bond 0.101112 1.0 9.567733e+02\n", + "85 burn 0.096598 1.0 5.002826e+03\n", + "86 bond 0.099670 1.0 1.720954e+03\n", + "87 burn 0.089172 1.0 1.356738e+04\n", + "88 bond 0.102475 1.0 2.305358e+02\n", + "89 bond 0.101501 1.0 2.307161e+02\n", + "90 bond 0.103529 1.0 1.302401e+03\n", + "91 burn 0.097848 1.0 7.391530e+03\n", + "92 burn 0.092944 2.0 4.334518e+03\n", + "93 bond 0.101915 1.0 3.244852e+02\n", + "94 bond 0.100093 1.0 1.092874e+03\n", + "95 bond 0.110495 66.0 9.538780e-10\n", + " burn 0.107753 1014.0 1.541549e-09\n", + "96 bond 0.102257 17.0 1.036824e-10\n", + " burn 0.103602 29.0 6.697412e-10\n", + "97 bond 0.098992 1.0 8.729285e+02\n", + "98 bond 0.099488 1.0 2.999926e+02\n", + "99 burn 0.097137 1.0 6.769772e+03\n", + "\n", + "[126 rows x 3 columns]" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tx_summary" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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6oIZESSp+O7ooDewIWSEqxM8u2Zb053zgLav2yLJtB5k0+3VeWbUr7Fr0LcrlhrOPCDv29N+9yVm/f4sGn59JQ0t51Y70KszJSotwakVx0DwSJWks3nyAbRW1QHrMSEK58bkVgRK8ycLnNwydNYfDXMmGXldiRN/gvJL1u6sB2F/TCMCUUX0Y1CsfsGYk+w4lb0alKImihkRJGpe46pGnoyFJFscd3ouPt1oqvctstd4ddj0R8J6dhUZyfe2RRUGPc1z16At0aUtJM3RpS0kK/pAIpO5iRtbvrg4YkUhIHFdjd1XwjCM3xJCos11JJ9SQKEnhUEh4arrMSH7xuXGB7c8fe1i7n//sP7wNwGlH9OVSVzZ/litsrTWXwj0jyc/OolZ9JEoaoYZESQq7XEs5AJImn7RvnDyUv3/7RIb3KWRnjCqD81btYuisOa1KptxTVR+k5utW6420LPXNU4ZGPF+OK1CgMDeT2qZmlUlR0oY0+XorXY3p9p25Q7rMSDIzhJNH9uFgXVMg0z0S976+HrDCcBNl7a5qVpR7L3EdipDBfsnxkR3/QTOSnEyMIRAWrCipRg2J0iHkZKbXR214n0LqfdH9DNn2j3djc+t+sG8427sSZKRaIuMOK2bzHed5j8V1/QrsmY76SZR0Ib2+3UqXYN6qnWFt2WlQ2MpNXnYmdTF+iHPsMYdWI9y49xBvrtvjdUiAwaX5DOiZ26qxjRlQFNbm9rEU5FjBlppLoqQLakiUdmfZtsqwtnSpme6Ql51JXVP0mYYzc9hZGexLmXbPW3zjscVehwSYNLQ3PXKjL51F4odnjQprc1+/fDvDXUOAlXQhLkMiIr1E5DkRWSsia0TkJBG5TUS2i8gy++9cV/+bRWSDiKwTkXNc7TPstg0iMsvVPkxEFonIehH5p4jktO/LVDqSw13S6O/cdAaPfmNiCkfjTX5OZky9LaeY1I/+Gb/Ao1tTrDC3ddUYJw3rHda2Yc+hsPPq0paSLsQ7I/lfYJ4xZgxwLLDGbv+DMWa8/TcXQETGAZcCRwIzgL+ISKaIZAJ/BmYC44DL7L4Ad9rnGgVUAFe2w2tTUsRHWyoC24NLC5g2JvW1SELJy8qIaUiO6G9lm581tp/nfi+13uOHlADw8/PGUpjTunzforzw43wuP01+trV/9Y4qjr5tfsxlNkVJNjENiYgUA6cBjwAYYxqNMdEyrs4HnjbGNBhjNgEbgEn23wZjzEZjTCPwNHC+WHP2acBz9vGPAxe09gUpqef5pVY52bduPD21A4lCXnbsGYljKD7c1FK7pNyWfAGo9ZByX7y5gmF9CikpzGl1Od9sj8CE0Mx2gJ+9uJLqeh93vLK2Vc+jKO1FPDOS4cBe4DER+VhEHhaRQnvf9SKyQkQeFZESu20Q4FbDK7fbIrX3Bg4aY3wh7Uon5fKThgAwpHdhjJ6pIy87g/oYPpIqO0y3qt7Hclvq5Iv3tci+OEtLlXVNQbMTt3z8uIHF7TLeI1wO+KyQwIVkSuIrSjzEY0iygAnAfcaY44AaYBZwHzACGA/sBO6x+3vdhplWtIchIleJyBIRWbJ37944hq6kAmOCa2ikI5azvZltB2pZuyu8lC1AdX2Ta9syKruqWhItaxp81Dc1c+yvXuW3c9eEHQ9w72Xj+drkw9s8XmfJDCA3K9j3EssgKkqyiceQlAPlxhhHRe45YIIxZrcxptkY4wcewlq6cvq7M6vKgB1R2vcBvUQkK6Q9DGPMg8aYicaYiX379o1j6EoqaPA1B2V1pyNOXsupd73BjD++49mnqq5l6crnD/+xrm1sDsw+Hnl3UyBx8ZwjW3xCI/sVcfsFRwceDyjOozW4EzqdAl39iqzwYo3eUlJNTENijNkFbBMRJ7vqTGC1iAx0dbsQWGVvvwxcKiK5IjIMGAV8CCwGRtkRWjlYDvmXjaXz8AbwRfv4K4CX2vi6lBRS1+RPe0OyMUa2emVdU9AP9DNLtoVJktQ2NjPzf1uM0CUPfEBmhjCqX3geiMObN57OJ786J+L+UIb1sZYHQ6ft4wYWB4pzVdY1oSipJN6wku8BT9kGYCPwTeBeERmPtQy1GbgawBjziYg8A6wGfMB1xphmABG5HpgPZAKPGmM+sc//U+BpEbkd+Bjbsa90TirrmiiOIT+Sak4e0ZsXP94ecf+2A7VBj+eu3EWotFVNiLP92LKevLZmj6ez/B/fmcyq7ZUJG9gnr5zE+t2HKMwN/qqu3tmyHJduqgFK9yMuQ2KMWQaEJgN8PUr/2cBsj/a5wFyP9o20LI0pnZj6pmaWbzvIicNKUz2UqPTuET1VKdSQQLjjblV5cOJlTYM1g8nOCnf7nTSiNyeNCM8PiURZST7lFXWUFuZwxhjv8GOHksL0NtpK10dvZZR2ZVdlPZV1TUyL8eOXakId1qHLVlttQ/LVEw+P2OeeBZ8GPf5g434A+hW1zg/i5vdfGs8Xjj2M/DhmMLurGvjt3DUcsKspKkpHo4ZEaVccyfXePVqnM9VRuPMyANa7MseNMWw9UEuvgmxmX9jiKHcit047wgr0GD+4V2DfkYe1hPleeFzbo9cnDSvl3suOi1ta5sG3NzLr+RVtfl5FaQ1qSJR2pcoOme2Rm95VnHNDDEmDK4T2yw8s5KlFW4OkXgCO+80CACYNLaF3YQ6lhTn06ZHD0N4FDLWd4v2Lc8lsZSJiIvzfV44La6uo1RmJkhrUkCjtilNrw0vmI50IlTc5UNtIfVMz1/99KR9utjLZB4cYkkDfmiaq633kZ2cyqKSAIb0LA7VNQpfMksXnjgmv7qj1SZRUoYZE8WTuyp28YEudJMInO6xoonQ3JKP6B4follfU8u/lO/jPihYJ/LKSfACuPm14UN/l5QcZ1b8HDT6rSmGG4DIkqftKxZLFV5RkoYZE8eSBtzcye84a/BGKMEXif+2qgkV56R1JFLr0dsuLq4IUdgHEzt5oag6+Bo0+P/nZmWzcW4PfGDJEAoakuQPL326+4zw+vOXMwOP1ew6pw11JCWpIFE92HKxjf01jUL5CIrRWQj2VuJeGzhrbL1BD/enFW0P6NbNkSwUb99WwansVr6/dE4iucqTnO4pQg7hsW0WEnoqSPNSQKGE0+JrZa2dNv7thHwB/fmMDX37gg2iHAQTCfjvKV9CerNrekhdy58XH0N+WM/mfi44O6uelbbVo0/7kDi4CoeHBeZ3wuiudHzUkShi7KluECd9Zb4lj3j1/HYs2HeBQg8+zDofDkN4FAZnzzsYSVx2VrIyWr0ao0914aIpecdLQpI0rGqHhwZHqwStKMlFDooSx/aBVWnbcwGIWb64IcuIedet8fvHSqkiH8th7mztN5b4ThpYwebh3Br5bqv24wb34/pkt5W/dRsbhxOFW1vphPduejNgWVFJeSQVqSJQw5q3aBcBXJx9Oo8/PH18LzuD+5+JtXod1Op797sk8fdVJnvvchkREuOHsIwKPH7r8+KC+93/Nevzhz87kvz85vf0HmgD1GgKspAA1JEoQ9U3NPLlwC188voyLjisDrAguN/4IkUk3PRd/bfN0x2vW8coPTmXJz89iZL+ioHorOyutGVy/4ryUqB5nZkggCVJnJEoqUEOiBNHY7McYGDOgiPwIvg7HjjT7Dat3tER1PbMk8byTdMAtdeLglZ0+dmAxfWzpl9dumBpoP2N0anXF1v5mBu/PmgZAgxoSJQWoIVGC8Nk5E1kxZD4Wbz7A+F+/yrn3vsPKEBXczsZPpluldi45vox/XXcKv7vk2JjHuLXEHHmUVJGdmREIcFizqzqlY1G6J+mdfqx0OE3N1hp7dowM7UvubwkFXre7OqyOeGfilJG9ue3z47j4+DKK8rI9ZyjpjrOk9vdFW7lm6oiI8i6KkgzUkChBBAyJh48gEj95djnnHj0gWUNKOiLCN04ZlvBx//neFHqlSW16dzGtU+96g813nJfC0SjdDV3aUoIILG3ZM4xjy3oG7Y+kaj5xSHoXskoGRw3qSVlJ+tz5lxa2FOsKrZ2iKMlEDYkSRGBGYt/hDu/bA4DfnH8kC28+k1W3edcbH9K75QfVXZtD6TiGuXw1Tl0YRekI1JAoQTgChdn2jOTbp1pLPlOP6MeAnnlhtcMdnKJPX5pYxkOXh1ZlVjoC9yyksySFKl0D9ZEoQfj8wTOSIw/rGdd6+1/f3wzAlVOGc1iv/KSNT4nM0q0HA9sNHnpgipIsdEbSBXly4RaOuOUVhs6awxK7SFMsaht93DVvbUCsMSszsY+Gc1xHVAdUYtPg0xmJ0nHojKQLsnpHFY22r+P1tXuYODS2I/yRdzbxlzc/Czx+f8M+ptq1yePB0eeKlX+idAyVdU2pHoLSjdAZSRfE7zeBCoXFcRaYCi3I1MeVcBfKOzedwX1fncCEw+PLCFc6hk9vnxnY1rK7SkeihqQL4jeGHrlZZGdK0J3pnur6iGGhOSEJiDOj5IUMLi1g5tEDeeHaU1h52/SgfZ05MbGzk5OVwb+vnwLAxn0dW2BL6d7EZUhEpJeIPCcia0VkjYicJCKlIrJARNbb/0vsviIi94rIBhFZISITXOe5wu6/XkSucLUfLyIr7WPuldAiC92IFeUHef6jtmlW+Q2B8q+OIflkRyWTZr/OM0u8lXtzQnwi8c4sivKyg6TTC3J0tTSV9LBnor/4V2Spf0Vpb+KdkfwvMM8YMwY4FlgDzAJeN8aMAl63HwPMBEbZf1cB9wGISClwK3AiMAm41TE+dp+rXMfNaNvL6rx84f/e48fPtk1F1xhDRgYU52dTVW8ZEqce+bsbvCv5ZYcYksYElkbcirdO7XIlNbhLHD/49mdReipK+xHTkIhIMXAa8AiAMabRGHMQOB943O72OHCBvX0+8ISxWAj0EpGBwDnAAmPMAWNMBbAAmGHvKzbGfGCsdZcnXOdSWoHfGDJEKM7LZs6Knfj91mOAfy/fwb5DDWHH3PryJ0GPi+L0rUDLMkpoFrzS8RTltrxvv527NoUjUboT8cxIhgN7gcdE5GMReVhECoH+xpidAPZ/R0t7EOBePym326K1l3u0d3leWFrOwo3eMwRfc+udpc320tYnOyxV3t/MWR0wJAATb3+NPVX1kQ4HguU24kUd7aknLzv4K61hwEpHEI8hyQImAPcZY44DamhZxvLC69fEtKI9/MQiV4nIEhFZsnfv3uij7gTc8MxyLn1woee+3dXhs4Z4sWYkLUtOj723OUwja9JvX494fFlJ6xIK3QlxSmoIdS+O/vk8/r18B2AteQ6dNYcb/rksFUNTujDxGJJyoNwYs8h+/ByWYdltL0th/9/j6j/YdXwZsCNGe5lHexjGmAeNMRONMRP79o0/x6Ez8v1/fNzqY429tOUo0x6eoKR4RveNdeiSzPvEKp1cY8umvPDx9lQOR+mCxDQkxphdwDYRGW03nQmsBl4GnMirK4CX7O2Xgcvt6K3JQKW99DUfmC4iJbaTfTow395XLSKT7Wity13n6rI0xVi6+mhLRavP7fdbxiAvy5qRZGVI2JKHw4GaRobOmhPUlqgdiacQlNJx/Py8sUGPm239tLaW4d1TVc89r67D71dlYSWYeGM1vwc8JSI5wEbgm1hG6BkRuRLYClxi950LnAtsAGrtvhhjDojIb4DFdr9fG2Mc/Y5rgL8C+cAr9l+XpiqJmcfNxiACtQ3WD8fGfTUBMcZQlm8LX45KVPBveN/UVghUgvnWKcO4fc6awOMV5QfZVVkf0FED2HeoIWrSqRfXPrWUJVsqOFDTyOwLj2638Sqdn7gMiTFmGeAl6XqmR18DXBfhPI8Cj3q0LwGOimcsXYVkSlgsWL0bgOnj+gekS3wRDImTAR80ttrExjbh8BLGDizmgvGHJThSJRlkZAgzjhwQWNLaUVnP5P95nTnfnxLos7uqPm5Dsv9QA5v317LEniU/tWirGhIlCM0eSxFehiR0ycDvN2QkGAm1antL/fQ7Lz6GV1cvAGBbRa1n/9yslryDPj1y2HeoMaDTlQiv/ODUhI9RkseEIb0ChsThvHvfDWzXxZh1+v2GFdsrGdmvB8ff/lpSxqh0HVQiJUVU1YcXHgrVuyqvqOP0u9/g093VcZ/3c39q+bFwUQSpAAAgAElEQVQocYXw3vGKd07Bhr0t5953qDHu51HSm6lH9Iu6v9rj8+fmwXc2csGf3+OoW+e357CULooakhRxyMuQhMxI/r1iB5v313Lv6+sTPr+TB3Ls4GBhxbEDW6oXrtpeye/mfxp43JnrrivBjB5QFHV/rJuTDzfFV35AUUANScpobG5ZWnCEFP0hM5Lnl1p5mhv3Ji7Ad9sXjgTgqlOHB7X3ds1Snl9aHlSSNVQmRem6/E+EGapDLB9eIhI6StdHfzlSRJOvxWg4kt+hMxLHgMSjqLt0awXrXXeZjnEKDft1a2E99t5mLj9pSOBxv6JcXvnBqTx91eR4X4bSiXF02LyoqI2+zFmjNeEVF2pIUsQB1xf1oB0l5URnhhaUWlFeSSwu+sv7nP2HtwOPHeMUKg/vFliEllnIWWP78ePpoxk7sJjJw3vH+SqUdObFa0+Ouv+qJ5ZE3FdRE92QHNTCWYoLNSQpwu38XmbncjjO9vaoed5gJ5+55eELcjIZXBp8bseI/emyCWFGRuncHHd4SdT9y7dFvkGJVcnhiQ82t2JESldFDUmKcC85OctNLy+zpCsGFOeF9f/Vvz8Ja4tGfVP4jOSGs4+gICfYWDh+GBVc7Jq8N2sa+RFuEOqiZLpHUl748kRL5ejlZZ4qRko3RQ1Jivj8MS3Je7uqrKRBp2b6zsq6sP6Pvbc5ofM7chhuQ3L/W58xfVxwZJbjVNVa612TQb3yWfOb4PI+oZF8XhhjHRvKD84aBcD0I/u3zwC7EY0+P7e+tIo5K3ameijtjhqSFLGtojYwC3hhqTUT8bmc7TfPHBN2zPoE8km+cuLhQHDFwpzMDIb2KWTzHeeF9U808VHpnPzgzFHMviC2iITfmCCH+3uzpvHxL84OhJX/40PvSptKZI74+Ss8/sEWrvv70lQPpd1RQ5IiDtY2cfIIy6n9zvp9QEv4b4PPz0CPu8GK2ibqm5pZujW6oOPVU4fT25a/6OWK0rppRrhxUroXp4/uy1GDrAJkZ4+LPKvwGxO0vDWoVz4lhTnkZulPRnvQ6POzdb+32kRnRD8VKaKx2U9xSBVCJ/y3wddMoe3LcPtLahp8zHp+BRf95X3eWb+XobPmhCn3AuS6HOzFLkNSmKuKON2dvkXWDcbxQ0qihvD6DVx6gjWrneWaHcdywivxccuLKznt7jd4f8O+VA+lXVBDkiIaff7A3d2gXvlU1jUFZCsmHF7CySP6MPWIvtz3tQmBYyrrmlhkZxx//ZEPA+2h+ScfuxR93U70alfewC3nBkuNK12b5b+czn++N4WyEqs2Te/CHPZHkcQxxlCUl8XmO87ju1NHdNQwuw3PfmQFuXzl4UUxenYO1JCkiKZmPzlZGZx39EDysjN48oPNgX1XThlGfk4mj39rUlAI55pdVZ6RNqFyKyu3e4d1urOVv3PacM8+StekZ0F2YEkLoKQgh3W2z62ippG5K4MdwH4TucBZaAi5EptY9Yc6O2pIOoiPtlRw2l1v8Nf3NuFr9rO7qoGnF2+jKC+L6npfUA5H6PLB89e0JJZ5fbVDM5QjFR764vFlQY/n/fBUpo/rz6e3z0zw1SidHcfPtrOyju8//THXPrWU1TuqAvudcs1enD12AD10mTQhotX46QpGRg1JB3Hxfe+z9UAtt/17dWAJq6wkn6K8LPZUN0TN4zh+iDUr+WhzheeMJFTJdXjfHp7nCf3yjxlQzIOXTwzLfle6PqeM7APArsr6QLDHufe+w6e7q/n6I4swJrI/JD8nI2oOihLOa3aNIC9iydF0BvQXJAU4SYD9inIDP+JVdbG1i5ZsqQgkGrqZszI4Oez2COGd6ihVHKbYhuRP/90Q1D79D28HDEukj0t+dibNftMl7qQ7imiqEYkWkktH1JAkwPsb9rXLm+6Upr1k4mCG9ra2C3OtD9rXJh8e8Ti34KKbP7/xWdDj0JmHzjiUUJy74P+u3ROxTyQfibNMs70iPHFW8aZPDyv/5neXHBu2r6ILGBJd6IyT+qbmQITFT2eM4dunDmu17LqjFj+sTyEH7S+0U2P7wuMGeR4zsGceOyvr4zp/qOF49Yen8fG26LknSvdi64HYOQyRVlsPL7Uiv1S4MX6cmZ87qOHcowcwd+UuXdrqTrizzu+ctzZsSSAaoeG5B2xl1awMoSgkl2T7QW9jEY8R+f6Zo3jh2pPDRB+H9inkwuPKIhyldEcc5YNoRFoKPby3ZUhiletVWhjax7pmw/oUBto+Z8skff8fH6dkTO2JGpI4aW4ONgaJVC30+YPXkl/82JJEycyQsC9jSYH38lVRHFEyuVkZTIih+Koo4C0MGkqkpS1nvX/7QV3aiod9hxr4dNchAL5ki15CSxXThi5QJEwNSZyEGgOANTurPHoGc6jBx8PvbApqc3wkWRkZHFPWM2jfCUNLPc9THUchoUhffEUJJZ7Ai2aPzzzAZ3usH8VfJ6hI3V255cWVfLjZSiR2r4YX5XUdz4IakjgJXZ4CK4oqFrPnrOHu+esAuGiC5f/428KtgDUjcSQrHCJ9v/sX54a1TRvTjx+cOSrwWCvlKq3lHg8ncCQhzymjrIivqnofC6KEtSoW7kRg981eV7rx05+eOGnyMCT9isJ/3ENx6xl5aWuF3hmKZ8ohvPvTaYHt8YN78dHPz+LRb5zAD84cxdiBxUDX+mAqHcvFx4f70LIzvH8enCUZgO88sYS91Q1JG1dn5Y11e/hoizULcWRpwPqOHm0rDPiavROHOyNxGRIR2SwiK0VkmYgssdtuE5HtdtsyETnX1f9mEdkgIutE5BxX+wy7bYOIzHK1DxORRSKyXkT+KSI5pBEfbjrAj59ZFtb+v6/F9pO4iwqFTmV7eExtI0XKuCPElm07GFD3zciQwGxFDYmSCA9dPhGAkf28E1gbI+SJ5GYF50ScMPu19h1YF+Cbjy3m4vs+AIJvIDNE+NJEy2j375nLicOspexIahSdhURmJGcYY8YbYya62v5gt403xswFEJFxwKXAkcAM4C8ikikimcCfgZnAOOAyuy/Anfa5RgEVwJVte1ntx9pdVXzpgQ9YuPFA2L7VUXwkp971X/6+aCsFuS1futD8DncEB8CkYaVkRVmfuuviYzzb31y3F1Dnp5IYxfaNjHOD89aNpwMtOQ+jIhgYL2obY/vwuiM3Prs86IZRBL5+0lDW/mYG/YryOGusJeV/qJNfv2R4e84HnjbGNACbRGQDMMnet8EYsxFARJ4GzheRNcA04Ct2n8eB24D7kjC2hIkVmudr9of9+Btj2Hagjp+9uJIhvVumtaGhvqE8c/VJUfdfMrGMz/Yd4vKThnru310VX56JokBLWQFHLWFI70L+++OpDC4tYMv+2ogzFS9+9M9lPPD1ibE7djMclV8HZ9HAiXxzkowra5vClr47E/HOSAzwqoh8JCJXudqvF5EVIvKoiDhxp4MAd/m0crstUntv4KAxxhfSnhZ8uvtQ1P1e+R3uti2u4jWZGfDaDae1eiwiws0zx3qWQAWCHO+KEgvnx6zBpZs1vG8PsjMzEjIiYC3/KrHpXRjsV3XqBVXWNfHQ2xs7bfBCvIbkFGPMBKxlqetE5DSsGcMIYDywE7jH7uu1UG9a0R6GiFwlIktEZMnevXvjHHpy6B2IAQ9PynLyRELJEGFkv6Kw9u9NG8lJw3u3eix/u/JEzjtmYNhSmaJEw7khuX7ayDafq6kLOY6TxeY7ziM/J9i/5MxIyivqmD13Dd95YkkqhtZm4lraMsbssP/vEZEXgUnGmLed/SLyEPAf+2E5MNh1eBngqAp6te8DeolIlj0rcfcPHceDwIMAEydOTMkn98RhpfzpK8exZHMF1z61lKVbD4YZh4Icb4G2SAq/P54+uk1jmjKqTyAkU1HiJT8nk813nNcu5zoUR56TEk4vOwH5t3PXBLVX1DRSVd/EkN7BN4cPv7ORU0f1ZfSA8BvSVBJzRiIihSJS5GwD04FVIjLQ1e1CYJW9/TJwqYjkisgwYBTwIbAYGGVHaOVgOeRfNsYY4A3gi/bxVwAvtf2lJYfhfQvpV5QXuLO46bkVYX0G9vReeoomFa8oSvejrMT6rQjVPpv+x7eZevebQW1NzX5un7OGC//yXkcNL27imZH0B1608x2ygL8bY+aJyJMiMh5rGWozcDWAMeYTEXkGWA34gOuMMc0AInI9MB/IBB41xjipsT8FnhaR24GPgUfa6fW1O9PHDQDgjNH9PPcfavAxb9VOz31OeO7VU4fT4CEHryidhWtOH8F9b34Wu6MSFa8AnHteXeeZm+MkNkYrkpUqYhoSO8oqLO3VGPP1KMfMBmZ7tM8F5kZ4jkmh7cnkmcXbuOn5Fbx2w9SIjkVjDLlZGZx79MCA32P84F5Rz/uFP73Lxn01nvuy7BnJzTO1XrrSublx+mjGDizmzbV7eOHj7YxJwlLLnqp6Jv32dZ68chKnjuobsV9dYzN52RlpXW/nyinD4u7rFoRdvaOKcYdZCcdVaay23G0z22963lqSOuv3b0XsU9vYTIPPH7QemZnZ8mGdPq4/OVkZGGP4y5sbOFjbGNGIQGTJCUXpbGRkCF849jB+/+XxXHTcoKT4SJwf1GeWlEfss7OyjrG/nMdTi7a2+/O3J+ccOSDivu+cGtnILC8/GNh2J4imW1GxbmtI4sGRe3dLQvTIaZnENTb76ZmfzYebDnDXvHXc/MLKqOfLTOM7JkVpLUV5WZQnocjVkwu3AHBYL2+l4gZfM09/aGUUOFVHU82q7ZWeunxZmZG/+xMjCLUCQb8pjS6V4HSTV+k68pMJ4PVGe7HfNiS9XYbEPatYtu0gB2ubmP+JFfu9J4bm0E5NGFS6IM7afXV9U8yk29YQyZ9497x1PPyupaydDuVqH3tvE7/692pm2LOPM8f043W7AmVWlNWI3BgVTOes2MmwPoXsO2T9vgztXRAWRpxquuWMZE91fD/oB2qsN660MIfcrAwmDgmu9XHQ/vA++p71Yf7IpQZ8pL2uCS0fohoNkVS6ICu3VwIkLZmuttGH32/428ItQXlb7llQtCXljuLOeWsBmPfJLgCOKWvxp/bpEVngNVKUp8N1f1/Kufe+w7f+auWY/M9F3lJJqaRbGpLP9sT3oXOmzb0Lc1l3+0yeu+bkoP0XRSiLe86R/fnpjDEAXHXacK6eOhyApi5QwEZRQvn5eZZk3oCesYtltYZnlpQz/Gdz+fm/VvGtvy4OtLs1rEJ17FJBr/xgrVn3+EKrlrqJR0XcTWgp7XQg/UbUAfxjcbBjzhjvpa5X7Tus0h7eYsS9CrzbX129m1NH9eHey47jhrOPCJTUPGtc/9YOWVHSltxs62fkjlfWtut5naxvN+9t2B+QZ3cbj8F2HfmPthzg6Q873vHua/azK2TpOidT2DB7Jmt+PSPqsSWFiYmdx1oKSwXpN6IO4Hi7HK3zhlTVRV9yKoywHvnNU4Z6thtj6WJ94djDyMvOZOzAYjbfcV6gboiidCUcn+OK8sp2PW9lhHBXR57dbUjqbPXci+/7gFkxgl6SgZfkflZmBlmZGe3uz8hOwwp26TeiDmBUfytv5KIJVl2AfTXeTvJJw0qZNKw0Ynz64NKChKelitLVcMLjHbmP9uCtT2Nr6RW6DElNSJKelwZeLA41+AIO7URp8oWvaiTyg3/jOaOZPLwlemvKyD68dN0pnn2NtxRhSumWhsRZyXKKTn2yw7uuyIebDsRUNfV7LIs9+93ocvCK0pXoV5THoF75nDmm/ZZuF23cH7OPW9MuNJBl36HGhJ/z1Dv/y+Tfvp7wceA9I9mwJ7pyuJvrzhjJ01edFEjsvPOLx3BshOTnwpzU+4NC6Z6GxP7vxKfHqjkSjbqQO6Efn30EJ0SJC1eUrkhxfjbPLy1n6daK2J3jwMnmvu3z4yL2qXEVg6ptbA6qMrgvwfK/fr+horYJn9+0albilSDY2Irgmru/eCzfnTqCwyIELpQW5gT8QelEtzQkzizCXfrWPRW+9/X1cd0RQfiUOlqFQ0XpqjjVFi/6y/vtcr4su178CcMi35TtDqkF5DYsidaRr65vOfaKRz9M6FhoMRruiCpnCT0Rji7ryayZYzyX04vysnjthqkJn7Mj6Ja/ek4hH3eRGSck2O83/H7Bp3z5wYWtOnc6rl8qSrJpS0jqlv01bNxrLQP5/YbZc1bzmf04J+TGrMTlh9ldZRmL88dbUZEHXUmJic4q/vTf9YHtT3ZUha00xMKZif3ycy0zqC9PHBype9wMdVVYPWVEnyCVjXSi2xkSX7Off9j5IYNKWmK7b3xuOQAHQyJFzhrrrfIbiYfe3tjGESpK5+Od9ftafezUu99k2j2W5t3m/TU89M4m7p6/DrAM1NVTh3PG6L5svuO8gPjh9oN1VDc0MXFICdPGWN/RNTtbfJ2JzkhCnfs7KhOTfLnhGev3w/HbTBpW2i7aelOPaBGrvOC4w9p8vmSRfl6bJHPx/R+wfJslhOa27o7D/UBIBNesmWOin29CWZDOj1O+VFGUxPGFyBdlZ2YEqWU7S8fn/997DO1dQG52BivtsOO7bOMDic1I6puaGdK7gPUu5/jK8kpG9E18aaq+yc+/r5/CkD7t48e4acYYBpXkc+WU4Wldz6jbzUgcIwJWhbjPfnsuQKDUbeidVWZG9Ev0y8+P4+qpw1n963M4a2w/5n7/1HYesaKkP/N+2PK5j1fLzovq+uAVgdAlM2epa9+hBhqb/eRkZgScz47IKkB1nHJEP35mOWN+MY/X1liaWG/+5HQAnl7cuqTGuqZmji7rSXE7aY4V5mZx1Wkj0tqIQDc0JG7yszMDb9AHG/fT4Gtm495g+ZRoYmtgZd/ePHMsBTlZPHzFCQlnqSpKV2DMgJZk21BjkAjusF2R4IAYsHS3HBqa/ORmZXLRBEuqaMrIlnLT8erahaoGD+1jlbZduDF62H8oTtLy8L6FMXp2TbqdIRnep+WNDk0Y+sE/lgWkqx2iyT8rihLOpgQEFN3yRPVNzexxyYwYA7lZwUvFJ7uNRaOPgpxMCuy8ioraFiNU0xDsLP/zGxt4+J3o/svrzhgBwJcmWonK/gRmVk69kUiVU7s63c6QnDyyd1ibk5joqHa6SfcppaKkC+cdPRAIz+mIhtsn8p8VOwORWJGYcHgJw/sWMmVkH6rrfRTlZZGZIeRlZwSWtnKzMoJCgQHunr+O2+esiXrur08eCrTMrhJRFD7U4EtKlcjOQrczJLUN4WF9dU3hbR/+7Eyev+Zk+hUlR9FUUboa351q3dHfOW9t1MqjbtxJez95djm746jZc3hpAZV1TRxq8AXqnxTmZLH/UEv9oEhLW+9/FuwDPWtsSzZ+Qa51Q1lSaJ0z3tcAli5Ye/lFOiPdzpB8FsddxpgBRfQrzuP4kPojiqJExvkhXlFeycZ9NRFVtd2EZoTvjiNstzgvmz3V9TT7TUCqvbKuKaC+W9ojJ2xpy+ErDy0KepydKQwuzec/35sSMAStMQiVdU0Ue6gVdxe6nSHp5fFmO1Nyh74qxKgoCROqAVUbJanv/c/2UV3fxNpd1UHtb3+6N6yAXChFeVmBJTDHGe9eIistzA0sbRlj2HagNuK5fH5Dj9xsjhrUM9AWKl9fVd/EQ29vpLbR52kc9x1qYO2uak/Z++5CtzMkjT4//Ypyg8IVQ/X925JcpSjdlVC5dLfsiJvKuia+8tAirvnbUhZ6SBEt2RJdr8t951/gIdFelJsVWNp6dfVuTr3rjaD9bod+s9+ERWb2CIkUu3veOmbPXcO4X87n6cXbwp7vaw8vijiW7kL3MyTNfkb17xEUrnjTjDFc6Kp2+O5Pz0jF0BSlUxP6QxopDNhxxL+7YR8Dir19kJkZwqmj+njucy89LfII0x07sIimZkODrzmQrOjmQpceWFOzPyygxv3bYIzB529Zfrv39fWE4syqIlSb6BZ0O0PSZCcxuRnQM48/fHl84HFZSfqpaypKuhMaTh8pKbDZtTzkVFcsds0Cehfm8Nlvz+XJK0/0PN6ttzXRQ2nbqVNS09DMzspw5/32gy3yJ14zEoCbZowGrEx1t6HxOt8IO3ekG9uR+AyJiGwWkZUiskxElthtpSKyQETW2/9L7HYRkXtFZIOIrBCRCa7zXGH3Xy8iV7jaj7fPv8E+NmnvSaPPH7HgzFPfPpFHvzExWU+tKF2eQa7a5JGWttyhwa+ttjLK//6dyYG2n86ILkvU3yWxfvGEQUH77v/aBJch8XGooWVWdGyZ5QdxDNFXHlrI+5/t99TEcqLBquub+NvC6Fnux5ZZdUNuOHt01H5dmUS0ts4wxridB7OA140xd4jILPvxT4GZwCj770TgPuBEESkFbgUmYpUE+UhEXjbGVNh9rgIWAnOBGcArbXplESgrKYio53/KSO+ptKIo8fHerGl8urua6X94O2JNELdjfM7KnQBBlUZDs9lD6e1Sj3DuORffchb7DjUwdmAxL9jZ6hv2Hgpa2jp+SCl52ZkYY4k6vv9Z5FIRzgxpyp1vROzjUNvYzBH9e9CzHStEdjbasrR1PvC4vf04cIGr/QljsRDoJSIDgXOABcaYA7bxWADMsPcVG2M+MFZIxBOuc7U7D18xkV98LnKxHEVR2oZTS/3Hzy733O+lxVXgKpsb6uwOxSs6qm9RLmMHWr4Nx8dRVdfEDnsp6t/XT+HGc0aTn5PJh5sPcMLs1wLHelVBdYyZV+VDgDkrdgZyUmoafeSnYdXCjiTeV2+AV0XEAA8YYx4E+htjdgIYY3aKiKMNMAhwhzaU223R2ss92hVF6YS4a6l7EarwC8GRkz1iHD+kd3Q9K6d2/JvrWqThj7aXtdxt0SiKkkvy+wWfBpzum+84j7rG5oDWVncl3hnJKcaYCVjLVteJyGlR+nr5N0wr2sNPLHKViCwRkSV798b3gVAUpWNxZgyTh3tXN/Sakbgd3m0pkgVQUmAtfTlZ8+4VCK/6Qke7ckgcoi2vuSO3/H5Dg88flkLQ3Yjr1Rtjdtj/9wAvApOA3fayFPb/PXb3csBdGqwM2BGjvcyj3WscDxpjJhpjJvbt29eri6IoaUBhTiYLNx7wTODzMiQiwsyjLOHDotzYvoZLji+LmLiYl51BZoYEosaGuHyiXhGZ93zp2LA294xkZL8eEZMNq+t9NDX7u32J7ZivXkQKRaTI2QamA6uAlwEn8uoK4CV7+2Xgcjt6azJQaS+BzQemi0iJHeE1HZhv76sWkcl2tNblrnMpitIJqbGz2qvqwiO33HkZha6aQHd98RgeuWIih/eOHX5/9yXH8tw1J3vuExHyszMDeSzZrtlCZUgF1NLCHI7oHy626HboTxvTj88dMzCsD8D+mgZ8fkN2N1cJj8dH0h940Y6OyAL+boyZJyKLgWdE5EpgK3CJ3X8ucC6wAagFvglgjDkgIr8BFtv9fm2Mcbxc1wB/BfKxorWSErGlKErHUtPoC4tmcuzIH758LDOOHBjI0yjKy+ZMl4hiW8jLzqTKNhrZrmWz0CWom87xDtl1Vzp1+pw0ojfX//3joH4HahrxNfvJilEAr6sT05AYYzYCYXM/Y8x+4EyPdgNcF+FcjwKPerQvAY6KY7yKonQCsjIEn994qvA6M5JeBTlhsirthc/v5zO7SJ07oXBkv5byubMvPIpLJx0e8RynjurDGaP7BZatBnssi+2vaaSp2XT7ukXd24wqipIU7v/a8UDLEpeDMYZ3bS27WNVH28LB2pYlLHcJ3itOHhrYnmEXo4rEk1eeyLemDAs8PvKwYkpDKqBW1DTi8/vJ7uYzku796hVFSQpO1FPojOSFpdu5Z8GnAGQmUZzKXWdk8vCWYnbZmRmBzPlYYcqhZGVm8Og3Tghq21/TiE9nJGpIFEVpf5wf6UMhhuS1NbsD28msPjr9yBZDEhpxdc3pI9h8x3lBfpB4Cc1xOVDTyP6axiD9ru6IGhJFUdodx5DUhpS8fWVVSznrZN7FL3TJn3hpabWWvOzgn8wt+y0/TLyJjl0VNSSKorQ7Tqb3j/7pLZMCkJlEv0JuK2YbcZ03q+W8Rx5WzEbboX/N6SOS8nydBTUkiqK0O/H4H0LLObQn7vpC7Ykz5uF9C+lblMtGu3T3mAHhuSjdCTUkiqK0O/lxzAjaKoUSjXGHFcfu1Ap6FmRz+wVH8cS3JlFa0BLBtbsqvE5Jd6J7S1YqipIUvPwS4XIpnpJ67UKP3CxumjGaPj1yY3dOkK9NHgIQFAp8WZR8lO6AGhJFUZLCt04ZxjNLLMHv8//vXUa7ln8umzSYoTFUfNvKtaePTOr5S3tYhqQgJzOqWnB3QA2JoihJwW8Mhxp8+P2G5eWVLHcVmfqfi45J4cjaB8d4nDE6XFG4u6E+EkVRksJf398MwJ3z1ga1/+HL4Wq7nZEeuZYfyCRxia6zoIZEUZSkcIxdTOqBtzcGtcfjiO8MZNsRXH7vIordCjUkiqIkhVs/713SOlk5Hh2N2DX5dEaihkRRlCRx3OAIhaeyuoYhmTKyD6eO6sPPzh2b6qGkHHW2K4qSFCJJk0QrY9uZ6FmQzZNXnpjqYaQFOiNRFKVDcdcEUboGakgURUkajlruk1dOCrS1RnVXSW/UkCiKkjScLPAThpameCRKMukai5WKoqQlP50xmh+dPYrcrEye++5JrN1VneohKUlADYmiKElDRALS6xOHljJRZyZdEl3aUhRFUdqEGhJFURSlTaghURRFUdqEGhJFURSlTcRtSEQkU0Q+FpH/2I//KiKbRGSZ/TfebhcRuVdENojIChGZ4DrHFSKy3v67wtV+vIistI+5V0S8U2IVRVGUtCORGckPgDUhbTcaY8bbf8vstpnAKPvvKuA+ABEpBW4FTgQmAbeKiCPGc5/d1zluRitei6IoipIC4jIkIlIGnAc8HEf384EnjI4fWBEAAAa1SURBVMVCoJeIDATOARYYYw4YYyqABcAMe1+xMeYDY9XifAK4oDUvRlEURel44p2R/BG4CQhV3p9tL1/9QUSc4siDgG2uPuV2W7T2co92RVEUpRMQMyFRRD4H7DHGfCQip7t23QzsAnKAB4GfAr8GvPwbphXtXmO5CmsJDOCQiKyLNf4I9AH2tfLYVKFj7hh0zB1DZxwzdM5xh455SHs/QTyZ7acAXxCRc4E8oFhE/maM+Zq9v0FEHgN+Yj8uBwa7ji8Ddtjtp4e0v2m3l3n0D8MY8yCW0WoTIrLEGDOxrefpSHTMHYOOuWPojGOGzjnujhhzzKUtY8zNxpgyY8xQ4FLgv8aYr9m+DewIqwuAVfYhLwOX29Fbk4FKY8xOYD4wXURKbCf7dGC+va9aRCbb57oceKmdX6eiKIqSJNqitfWUiPTFWppaBnzXbp8LnAtsAGqBbwIYYw6IyG+AxXa/XxtjDtjb1wB/BfKBV+w/RVEUpROQkCExxryJtRyFMWZahD4GuC7CvkeBRz3alwBHJTKWNtLm5bEUoGPuGHTMHUNnHDN0znEnfcxi/e4riqIoSutQiRRFURSlTXQrQyIiM0RknS3FMisFzz9YRN4QkTUi8omI/MBuLxWRBbZ0zAIn4z+d5GY8JHKGicgi+/n/KSI5dnuu/XiDvX+o6xw32+3rROQcV3u7vy8i0ktEnhORtfb1Pindr7OI/Mj+XKwSkX+ISF46XmcReVRE9ojIKldb0q9tpOdow5jvtj8fK0TkRRHp5dqX0DVszfvUmjG79v1ERIyI9LEfp/Y6G2O6xR+QCXwGDMfKfVkOjOvgMQwEJtjbRcCnwDjgLmCW3T4LuNPePhcr8ECAycAiu70U2Gj/L7G3S+x9HwIn2ce8Asxsp7HfAPwd+I/9+BngUnv7fuAae/ta4H57+1Lgn/b2OPua5wLD7PciM1nvC/A48G17Owfolc7XGSsJdxOQ77q+30jH6wycBkwAVrnakn5tIz1HG8Y8Hciyt+90jTnha5jo+9TaMdvtg7GiYLcAfdLhOnfYj2iq/+wLNt/1+Gbg5hSP6SXgbGAdMNBuGwiss7cfAC5z9V9n778MeMDV/oDdNhBY62oP6teGcZYBrwPTgP/YH7x9ri9h4NraH/CT7O0su5+EXm+nXzLeF6AY60dZQtrT9jrTovxQal+3/2DJCqXldQaGEvyjnPRrG+k5WjvmkH0XAk95XZtY17A134e2jBl4DjgW2EyLIUnpde5OS1uRJFpSgj3FPQ5YBPQ3Vj4N9v9+drd0kZsJlcjpDRw0xvg8nicwNnt/pd0/0dfSFoYDe4HHxFqOe1hECknj62yM2Q78DtgK7MS6bh+R3tfZTUdc20jP0R58i5a0g0TH3JrvQ6sQkS8A240xy0N2pfQ6dydDErcUS7IRkR7A88APjTFV0bp6tLWL3Ey8iEsiJ45xRdvXYWPGuvObANxnjDkOqMGaokci5WO216HPx1pKOQwoxFLSjvQ8KR9znKT9OEXkFsAHPOU0RRhDa8bcbq9HRAqAW4Bfeu1OcGztep27kyGJJN3SoYhINpYRecoY84LdvFtalAIGAnvs9mhyM5Ha45KbSQBHImcz8DTW8tYfsVSdnTwk9/MExmbv7wkcaMVraQvlQLkxZpH9+Dksw5LO1/ksYJMxZq8xpgl4ATiZ9L7Objri2kZ6jlZjO58/B3zV2Gs5rRjzPhJ/n1rDCKwbjeX297EMWCoiA1ox5va9zq1dI+1sf1h3qRvtN8JxlB3ZwWMQLJn8P4a0302wc+sue/s8gh1oH9rtpVg+gBL7bxNQau9bbPd1HGjntuP4T6fF2f4swc7Fa+3t6wh2Lj5jbx9JsANzI5bzMinvC/AOMNrevs2+xml7nbHq9HwCFNjnfBz4XrpeZ8J9JEm/tpGeow1jngGsBvqG9Ev4Gib6PrV2zCH7NtPiI0npde6wH9F0+MOKbPgUK/LilhQ8/xSs6eMKLFmZZfaYemM5s9fb/503WoA/2+NdCUx0netbWDI0G4BvutonYumefQb8Hwk49uIY/+m0GJLhWFEfG+wvUa7dnmc/3mDvH+46/hZ7XOtwRTkl430BxgNL7Gv9L/tLlNbXGfgVsNY+75NYP2Rpd52Bf2D5cZqw7myv7IhrG+k52jDmDVj+A+e7eH9rr2Fr3qfWjDlk/2ZaDElKr7NmtiuKoihtojv5SBRFUZQkoIZEURRFaRNqSBRFUZQ2oYZEURRFaRNqSBRFUZQ2oYZEURRFaRNqSBRFUZQ2oYZEURRFaRP/DxksZe1VyEFLAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sdf.F.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "bond_amts = [tdf.iloc[k].amt for k in range(time_periods_per_run) if tdf.iloc[k].mech=='bond']\n", + "burn_amts = [tdf.iloc[k].amt for k in range(time_periods_per_run) if tdf.iloc[k].mech=='burn']" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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wE8A/N/WeAX6v03MDr2nuzzXfv7Pf+fX65TtjJam4Se7RS5K6YNBLUnEGvSQVZ9BLUnEGvSQVZ9BLUnEGvSQVZ9BLUnH/B+v3B74s/JkjAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(burn_amts, bins=20)\n", + "plt.yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['invariant'] = rdf.supply.apply(lambda x: x**kappa)/rdf.reserve" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.plot(x='reserve', y='supply', kind='scatter', alpha=.5)\n", + "axis = plt.axis()\n", + "xrange = np.arange(axis[0], axis[1], (axis[1]-axis[0])/100)\n", + "yrange = np.array([supply(x, V0, kappa) for x in xrange ])\n", + "plt.plot(xrange, yrange, 'y')\n", + "plt.title('Bonding Curve Invariant')\n", + "plt.legend(['Invariant', 'Observed Data'])" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "def gini(x):\n", + "\n", + " # Mean absolute difference\n", + " mad = np.abs(np.subtract.outer(x, x)).mean()\n", + " # Relative mean absolute difference\n", + " rmad = mad/np.mean(x)\n", + " # Gini coefficient\n", + " g = 0.5 * rmad\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([51., 8., 11., 10., 2., 5., 5., 4., 1., 3.]),\n", + " array([ 0. , 460.13499058, 920.26998116, 1380.40497174,\n", + " 1840.53996232, 2300.6749529 , 2760.80994348, 3220.94493406,\n", + " 3681.07992464, 4141.21491522, 4601.3499058 ]),\n", + "
)" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(rdf.iloc[-1].holdings)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini_h'] = rdf.holdings.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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16P8BsMLT+QroXDkAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(rdf.iloc[-1].tokens)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini_s'] = rdf.tokens.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.tokens.apply(np.count_nonzero).plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['asset_value'] = rdf.holdings + rdf.spot_price*rdf.tokens" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([21., 26., 13., 7., 11., 7., 8., 3., 2., 2.]),\n", + " array([ 718.88491668, 1155.17108514, 1591.4572536 , 2027.74342206,\n", + " 2464.02959051, 2900.31575897, 3336.60192743, 3772.88809589,\n", + " 4209.17426434, 4645.4604328 , 5081.74660126]),\n", + " )" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(rdf.iloc[-1].asset_value)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini'] = rdf.asset_value.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(rdf.iloc[-7:].pref_gap, bins=7)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/__pycache__/bonding_curve_eq.cpython-36.pyc b/__pycache__/bonding_curve_eq.cpython-36.pyc index 20cc3de..adcfcf2 100644 Binary files a/__pycache__/bonding_curve_eq.cpython-36.pyc and b/__pycache__/bonding_curve_eq.cpython-36.pyc differ diff --git a/abc_sim-simpler.ipynb b/abc_sim-simpler.ipynb new file mode 100644 index 0000000..c3b1862 --- /dev/null +++ b/abc_sim-simpler.ipynb @@ -0,0 +1,593 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import scipy.stats as sts\n", + "import seaborn as sns\n", + "\n", + "%matplotlib inline\n", + "\n", + "#import conviction files\n", + "#from conviction_helpers import *\n", + "#from conviction_system_logic3 import *\n", + "from bonding_curve_eq import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "System initialization" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "hatch_raise = 100000 # fiat units\n", + "hatch_price = .1 #fiat per tokens\n", + "theta = .5 #share of funds going to funding pool at launch\n", + "\n", + "R0 = hatch_raise*(1-theta)\n", + "F0 = hatch_raise*theta\n", + "S0 = hatch_raise/hatch_price\n", + "\n", + "kappa = 2\n", + "V0 = invariant(R0,S0,kappa)\n", + "P0 = spot_price(R0, V0, kappa)\n", + "\n", + "dust = 10**-8" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "agent initialization" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#number of agents\n", + "n= 100\n", + "\n", + "#gain factors\n", + "g = np.random.normal(2, .5, size=n)\n", + "phat0 = g*F0/S0 #derivative, integral and proportion\n", + "#agents as controllers, co-steering\n", + "\n", + "#wakeup rates\n", + "gamma = sts.expon.rvs(loc=1,scale=5, size=n)\n", + "\n", + "#holdings fiat\n", + "h = sts.expon.rvs( loc=100,scale=1000, size=n)\n", + "\n", + "#holdings tokens\n", + "s_dist = sts.expon.rvs(loc=10, scale=10, size=n)\n", + "s0 = s_dist/sum(s_dist)*S0\n", + "\n", + "#lambda for revenue process\n", + "lam = 200\n", + "\n", + "#phi for exiting funds\n", + "phi = 0\n", + "\n", + "#beta is param for armijo rule\n", + "beta = .9\n", + "\n", + "#param for open loop\n", + "rules = [\"step\", \"ramp\", \"martin\"] # step or \"ramp\" or \"martin\"" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "params= {\n", + " 'kappa': [kappa],\n", + "# 'lambda': [lam],\n", + "# 'gains': [g],\n", + "# 'rates':[1/gamma],\n", + "# 'population':[n],\n", + "# 'beta':[beta],\n", + " 'phi': [phi],\n", + " 'invariant': [V0],\n", + " 'dust' : [dust],\n", + " 'rule' : rules,\n", + " 'dP' : [P0/100]}" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "initial_conditions = {'supply': S0,\n", + " 'price': P0,\n", + " 'reserve': R0,\n", + " 'spot_price': P0\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'price': 0.09999999999999999,\n", + " 'reserve': 50000.0,\n", + " 'spot_price': 0.09999999999999999,\n", + " 'supply': 1000000.0}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "initial_conditions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def set_action(params, step, sL, s):\n", + " \n", + " R = s['reserve']\n", + " S = s['supply']\n", + " V0 = params['invariant']\n", + " P=s['spot_price']\n", + " \n", + " if params['rule'] == 'step':\n", + " new_price = s['price']\n", + " elif params['rule'] == 'ramp':\n", + " new_price = s['price'] + params['dP']\n", + " else :\n", + " rv = np.random.normal(1.0, .05, size=1)\n", + " new_price = rv*s['price']\n", + " \n", + " if P>new_price: #equiv: pbar(0)>phat_a\n", + " mech = 'burn'\n", + " \n", + " #approx for burn s.t. p=phat\n", + " #armijo style\n", + " amt = 9*S/10\n", + "\n", + " def pbar(amt):\n", + " output = withdraw(amt, R,S, V0, params['kappa'])\n", + "\n", + " if not(output[1])>0:\n", + " return np.Infinity\n", + " elif amt==0:\n", + " return P\n", + " else:\n", + " return output[1]\n", + "\n", + " if amt > params['dust']:\n", + " while pbar(amt)< new_price:\n", + " amt = amt*beta\n", + "\n", + " else: # P0:\n", + " return 0\n", + " elif amt==0:\n", + " return P\n", + " else:\n", + " return output[1]\n", + "\n", + " if amt > params['dust']:\n", + " while pbar(amt)> new_price:\n", + " amt = amt*beta\n", + " #print(mech)\n", + " #print(amt)\n", + " action = {'mech':mech, 'amt':amt, 'pbar':pbar(amt),'posterior':{}}\n", + " \n", + " if action['mech'] == 'bond':\n", + "\n", + " dS, pbar = mint(amt, R,S, V0, params['kappa'])\n", + " R = R+amt\n", + " S = S+dS\n", + " P = spot_price(R, V0, kappa)\n", + "\n", + " elif action['mech'] == 'burn':\n", + " dR, pbar = withdraw(amt, R,S, V0, params['kappa'])\n", + " R = R-dR\n", + " S = S-amt\n", + " P = spot_price(R, V0, kappa)\n", + "\n", + " action['posterior'] = {'S':S, 'R':R,'P':P}\n", + " \n", + " return {'action': action}" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def update_S(params, step, sL, s, _input):\n", + " \n", + " action = _input['action']\n", + " S = action['posterior']['S']\n", + " \n", + " key = 'supply'\n", + " value = S\n", + " \n", + " return (key, value)\n", + "\n", + "def update_R(params, step, sL, s, _input):\n", + " \n", + " action = _input['action']\n", + " R = action['posterior']['R']\n", + " \n", + " key = 'reserve'\n", + " value = R\n", + " \n", + " return (key, value)\n", + "\n", + "def update_P(params, step, sL, s, _input):\n", + " \n", + " action = _input['action']\n", + " P = action['posterior']['P']\n", + " \n", + " key = 'spot_price'\n", + " value = P\n", + " \n", + " return (key, value)\n", + "\n", + "def update_Pbar(params, step, sL, s, _input):\n", + " \n", + " action = _input['action']\n", + " pbar = action['pbar']\n", + " \n", + " key = 'price'\n", + " value = pbar\n", + " \n", + " return (key, value)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n", + "# The Partial State Update Blocks\n", + "partial_state_update_blocks = [\n", + " {\n", + " 'policies': {\n", + " 'act': set_action,\n", + " },\n", + " 'variables': {\n", + " 'supply': update_S, \n", + " 'reserve': update_R,\n", + " 'spot_price': update_P,\n", + " 'price': update_Pbar\n", + " }\n", + " }\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "time_periods_per_run = 5000\n", + "monte_carlo_runs = 1\n", + "\n", + "from cadCAD.configuration.utils import config_sim\n", + "simulation_parameters = config_sim({\n", + " 'T': range(time_periods_per_run),\n", + " 'N': monte_carlo_runs,\n", + " 'M': params\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[{'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 0.001}}]\n", + "[{'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 0.001}}]\n", + "[{'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001}}, {'N': 1, 'T': range(0, 5000), 'M': {'kappa': 2, 'phi': 0, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 0.001}}]\n" + ] + } + ], + "source": [ + "from cadCAD.configuration import append_configs\n", + "# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #\n", + "# The configurations above are then packaged into a `Configuration` object\n", + "append_configs(\n", + " initial_state=initial_conditions, #dict containing variable names and initial values\n", + " partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n", + " sim_configs=simulation_parameters #dict containing simulation parameters\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "from tabulate import tabulate\n", + "from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n", + "from cadCAD import configs\n", + "import pandas as pd\n", + "\n", + "exec_mode = ExecutionMode()\n", + "multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n", + "run = Executor(exec_context=multi_proc_ctx, configs=configs)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " __________ ____ \n", + " ________ __ _____/ ____/ | / __ \\\n", + " / ___/ __` / __ / / / /| | / / / /\n", + " / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n", + " \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n", + " by BlockScience\n", + " \n", + "Execution Mode: multi_proc: [, , ]\n", + "Configurations: [, , ]\n" + ] + } + ], + "source": [ + "i = 0\n", + "verbose = False\n", + "results = {}\n", + "for raw_result, tensor_field in run.execute():\n", + " result = pd.DataFrame(raw_result)\n", + " if verbose:\n", + " print()\n", + " print(f\"Tensor Field: {type(tensor_field)}\")\n", + " print(tabulate(tensor_field, headers='keys', tablefmt='psql'))\n", + " print(f\"Output: {type(result)}\")\n", + " print(tabulate(result, headers='keys', tablefmt='psql'))\n", + " print()\n", + " results[i] = {}\n", + " results[i]['result'] = result\n", + " results[i]['simulation_parameters'] = simulation_parameters[i]\n", + " i += 1\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "experiment_index = 2\n", + "df = results[experiment_index]['result']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[['price', 'spot_price']].plot(logx=True,logy=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "df['err'] = df.price-df.spot_price\n", + "df['abs_err']= df.err.apply(abs)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[['price', 'spot_price']].head(500).plot()\n", + "print(plt.gca().axis())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/abc_sim.ipynb b/abc_sim.ipynb index 7a5e06d..b3c910c 100644 --- a/abc_sim.ipynb +++ b/abc_sim.ipynb @@ -1840,6 +1840,36 @@ "sns.scatterplot(x='index',y=\"P\", hue = \"pbar\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\").reset_index()) " ] }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "txdf['P_err_factor'] = txdf.P/txdf.pbar" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.scatterplot(x='index',y=\"P_err_factor\", hue = \"pbar\", data=txdf.replace([np.inf, -np.inf], np.nan).dropna(how=\"all\").reset_index()) \n", + "plt.gca().set_yscale('log')" + ] + }, { "cell_type": "code", "execution_count": 51, diff --git a/bonding_curve_eq.py b/bonding_curve_eq.py index 9750618..76cc862 100644 --- a/bonding_curve_eq.py +++ b/bonding_curve_eq.py @@ -1,4 +1,4 @@ - +import numpy as np default_kappa= 2 default_exit_tax = .02 @@ -34,7 +34,10 @@ def spot_price(R, V0, kappa=default_kappa): #with realized price deltaR/deltaS def mint(deltaR, R,S, V0, kappa=default_kappa): deltaS = (V0*(R+deltaR))**(1/kappa)-S - realized_price = deltaR/deltaS + if deltaS ==0: + realized_price = spot_price(R+deltaR, V0, kappa) + else: + realized_price = deltaR/deltaS return deltaS, realized_price #for a given state (R,S) @@ -44,7 +47,10 @@ def mint(deltaR, R,S, V0, kappa=default_kappa): #with realized price deltaR/deltaS def withdraw(deltaS, R,S, V0, kappa=default_kappa): deltaR = R-((S-deltaS)**kappa)/V0 - realized_price = deltaR/deltaS + if deltaS ==0: + realized_price = spot_price(R+deltaR, V0, kappa) + else: + realized_price = deltaR/deltaS return deltaR, realized_price def withdraw_with_tax(deltaS, R,S, V0, exit_tax = default_exit_tax, kappa=default_kappa):