{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time series models are a type of regression on a dataset with a timestamp label. \n", "\n", "The following example creates a time series model to predict the number of forest fires in Brazil with the 'Amazon' dataset." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
📅
date
Date
123
number
Integer
11998-01-010
21998-02-010
31998-03-010
41998-04-010
51998-05-010
61998-06-013551
71998-07-018066
81998-08-0135549
91998-09-0141968
101998-10-0123495
111998-11-016804
121998-12-014448
131999-01-011081
141999-02-011284
151999-03-01667
161999-04-01717
171999-05-011812
181999-06-013632
191999-07-018756
201999-08-0139486
211999-09-0136913
221999-10-0127012
231999-11-018860
241999-12-014376
252000-01-01778
262000-02-01561
272000-03-01848
282000-04-01537
292000-05-012097
302000-06-016275
312000-07-014739
322000-08-0122202
332000-09-0123291
342000-10-0127336
352000-11-018399
362000-12-014465
372001-01-01547
382001-02-011059
392001-03-011268
402001-04-011081
412001-05-012090
422001-06-018433
432001-07-016490
442001-08-0131887
452001-09-0139834
462001-10-0131038
472001-11-0115639
482001-12-016201
492002-01-011654
502002-02-011570
512002-03-011679
522002-04-011682
532002-05-013818
542002-06-0110839
552002-07-0113751
562002-08-0157151
572002-09-0155803
582002-10-0147722
592002-11-0128179
602002-12-0111944
612003-01-015091
622003-02-012398
632003-03-012749
642003-04-012677
652003-05-011747
662003-06-016506
672003-07-0111804
682003-08-0143736
692003-09-0176325
702003-10-0143295
712003-11-0123572
722003-12-0115342
732004-01-012705
742004-02-011255
752004-03-012040
762004-04-011335
772004-05-013535
782004-06-0114262
792004-07-0123809
802004-08-0149325
812004-09-0183500
822004-10-0140331
832004-11-0130763
842004-12-0117524
852005-01-014990
862005-02-012153
872005-03-011706
882005-04-011011
892005-05-013210
902005-06-015811
912005-07-0115663
922005-08-0151981
932005-09-0176257
942005-10-0149876
952005-11-0121752
962005-12-016354
972006-01-013255
982006-02-011666
992006-03-011774
1002006-04-01792
Rows: 1-100 | Columns: 2
" ], "text/plain": [ " date number \n", "1 1998-01-01 0 \n", "2 1998-02-01 0 \n", "3 1998-03-01 0 \n", "4 1998-04-01 0 \n", "5 1998-05-01 0 \n", "6 1998-06-01 3551 \n", "7 1998-07-01 8066 \n", "8 1998-08-01 35549 \n", "9 1998-09-01 41968 \n", "10 1998-10-01 23495 \n", "11 1998-11-01 6804 \n", "12 1998-12-01 4448 \n", "13 1999-01-01 1081 \n", "14 1999-02-01 1284 \n", "15 1999-03-01 667 \n", "16 1999-04-01 717 \n", "17 1999-05-01 1812 \n", "18 1999-06-01 3632 \n", "19 1999-07-01 8756 \n", "20 1999-08-01 39486 \n", "21 1999-09-01 36913 \n", "22 1999-10-01 27012 \n", "23 1999-11-01 8860 \n", "24 1999-12-01 4376 \n", "25 2000-01-01 778 \n", "26 2000-02-01 561 \n", "27 2000-03-01 848 \n", "28 2000-04-01 537 \n", "29 2000-05-01 2097 \n", "30 2000-06-01 6275 \n", "31 2000-07-01 4739 \n", "32 2000-08-01 22202 \n", "33 2000-09-01 23291 \n", "34 2000-10-01 27336 \n", "35 2000-11-01 8399 \n", "36 2000-12-01 4465 \n", "37 2001-01-01 547 \n", "38 2001-02-01 1059 \n", "39 2001-03-01 1268 \n", "40 2001-04-01 1081 \n", "41 2001-05-01 2090 \n", "42 2001-06-01 8433 \n", "43 2001-07-01 6490 \n", "44 2001-08-01 31887 \n", "45 2001-09-01 39834 \n", "46 2001-10-01 31038 \n", "47 2001-11-01 15639 \n", "48 2001-12-01 6201 \n", "49 2002-01-01 1654 \n", "50 2002-02-01 1570 \n", "51 2002-03-01 1679 \n", "52 2002-04-01 1682 \n", "53 2002-05-01 3818 \n", "54 2002-06-01 10839 \n", "55 2002-07-01 13751 \n", "56 2002-08-01 57151 \n", "57 2002-09-01 55803 \n", "58 2002-10-01 47722 \n", "59 2002-11-01 28179 \n", "60 2002-12-01 11944 \n", "61 2003-01-01 5091 \n", "62 2003-02-01 2398 \n", "63 2003-03-01 2749 \n", "64 2003-04-01 2677 \n", "65 2003-05-01 1747 \n", "66 2003-06-01 6506 \n", "67 2003-07-01 11804 \n", "68 2003-08-01 43736 \n", "69 2003-09-01 76325 \n", "70 2003-10-01 43295 \n", "71 2003-11-01 23572 \n", "72 2003-12-01 15342 \n", "73 2004-01-01 2705 \n", "74 2004-02-01 1255 \n", "75 2004-03-01 2040 \n", "76 2004-04-01 1335 \n", "77 2004-05-01 3535 \n", "78 2004-06-01 14262 \n", "79 2004-07-01 23809 \n", "80 2004-08-01 49325 \n", "81 2004-09-01 83500 \n", "82 2004-10-01 40331 \n", "83 2004-11-01 30763 \n", "84 2004-12-01 17524 \n", "85 2005-01-01 4990 \n", "86 2005-02-01 2153 \n", "87 2005-03-01 1706 \n", "88 2005-04-01 1011 \n", "89 2005-05-01 3210 \n", "90 2005-06-01 5811 \n", "91 2005-07-01 15663 \n", "92 2005-08-01 51981 \n", "93 2005-09-01 76257 \n", "94 2005-10-01 49876 \n", "95 2005-11-01 21752 \n", "96 2005-12-01 6354 \n", "97 2006-01-01 3255 \n", "98 2006-02-01 1666 \n", "99 2006-03-01 1774 \n", "100 2006-04-01 792 \n", "Rows: 1-100 | Columns: 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from verticapy.datasets import load_amazon\n", "amazon = load_amazon().groupby(\"date\", \"SUM(number) AS number\")\n", "display(amazon)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The feature 'date' tells us that we should be working with a time series model. To do predictions on time series, we use previous values called 'lags'.\n", "\n", "To help visualize the seasonality of forest fires, we'll draw some autocorrelation plots." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bdf122d083024b76bc5d29286aedc02d" } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/html": [ "
value
confidence
01.00.12677953091477837
10.6807919434785590.17635811053763537
2-0.4486517606020.19431587020757396
3-0.0568109385115240.1949967219550794
4-0.2140725725654210.19920783402950895
5-0.1322753791800030.20106670828355816
6-0.2092715153991610.20504977108289735
7-0.220860052264010.20938483891715817
8-0.1153815124226390.21088997523164357
9-0.03038976767026760.21142090542967373
100.1959400578119360.21490010161856166
110.4210968546954670.2288227396007685
120.3540856008911830.23839868796477473
13-0.2775394542721640.24434402010546988
14-0.04666198735622560.2450381591011353
15-0.02521793604808650.2456289146925101
16-0.02086273566748780.2462094909416231
17-0.07389250384646020.24714597766954416
18-0.02771521681516830.24775839671186392
19-0.05701391118809270.2485493119105585
20-0.03590624735329430.24920689325929707
210.03689265328445790.2498738171394672
220.1835170898442330.25281820622976037
230.2904065042048870.25925413775321304
240.1487488985613340.2613732869695089
25-0.2528485514180730.2663277988831778
26-0.02076911177012250.26698138981979946
270.03531408562741430.2676947498028233
28-0.09210542572965450.26890332746753587
290.01543551783576860.2695589819239979
30-0.03902146242639030.2703066482776497
31-0.03619061302176910.2710449043780445
32-0.04764840015573260.27185384167555554
33-0.01909156284863090.2725378227507442
34-0.04482758045506250.2733395375351199
350.3117500359435250.28060824273716456
360.04339320169858290.2814251891164287
37-0.1158793097989460.28302463030064584
38-0.01348822910904130.2837400527560789
390.03044522333557770.28451110093290016
40-0.08502784555008170.28571394104765774
410.005008940180052890.2864362316089425
42-0.03590161909112420.2872498182295229
43-0.05156360046989350.288162560585811
44-0.1027428425736540.2896194072202406
45-0.1474389885662550.29184355740744294
46-0.08907912533192790.2931379370389525
470.0372692910251630.2939948682267675
48-0.1088296689700810.2955705134853683
Rows: 1-49 | Columns: 3
" ], "text/plain": [ " value confidence \n", "0 1.0 0.12677953091477837 \n", "1 0.680791943478559 0.17635811053763537 \n", "2 -0.448651760602 0.19431587020757396 \n", "3 -0.056810938511524 0.1949967219550794 \n", "4 -0.214072572565421 0.19920783402950895 \n", "5 -0.132275379180003 0.20106670828355816 \n", "6 -0.209271515399161 0.20504977108289735 \n", "7 -0.22086005226401 0.20938483891715817 \n", "8 -0.115381512422639 0.21088997523164357 \n", "9 -0.0303897676702676 0.21142090542967373 \n", "10 0.195940057811936 0.21490010161856166 \n", "11 0.421096854695467 0.2288227396007685 \n", "12 0.354085600891183 0.23839868796477473 \n", "13 -0.277539454272164 0.24434402010546988 \n", "14 -0.0466619873562256 0.2450381591011353 \n", "15 -0.0252179360480865 0.2456289146925101 \n", "16 -0.0208627356674878 0.2462094909416231 \n", "17 -0.0738925038464602 0.24714597766954416 \n", "18 -0.0277152168151683 0.24775839671186392 \n", "19 -0.0570139111880927 0.2485493119105585 \n", "20 -0.0359062473532943 0.24920689325929707 \n", "21 0.0368926532844579 0.2498738171394672 \n", "22 0.183517089844233 0.25281820622976037 \n", "23 0.290406504204887 0.25925413775321304 \n", "24 0.148748898561334 0.2613732869695089 \n", "25 -0.252848551418073 0.2663277988831778 \n", "26 -0.0207691117701225 0.26698138981979946 \n", "27 0.0353140856274143 0.2676947498028233 \n", "28 -0.0921054257296545 0.26890332746753587 \n", "29 0.0154355178357686 0.2695589819239979 \n", "30 -0.0390214624263903 0.2703066482776497 \n", "31 -0.0361906130217691 0.2710449043780445 \n", "32 -0.0476484001557326 0.27185384167555554 \n", "33 -0.0190915628486309 0.2725378227507442 \n", "34 -0.0448275804550625 0.2733395375351199 \n", "35 0.311750035943525 0.28060824273716456 \n", "36 0.0433932016985829 0.2814251891164287 \n", "37 -0.115879309798946 0.28302463030064584 \n", "38 -0.0134882291090413 0.2837400527560789 \n", "39 0.0304452233355777 0.28451110093290016 \n", "40 -0.0850278455500817 0.28571394104765774 \n", "41 0.00500894018005289 0.2864362316089425 \n", "42 -0.0359016190911242 0.2872498182295229 \n", "43 -0.0515636004698935 0.288162560585811 \n", "44 -0.102742842573654 0.2896194072202406 \n", "45 -0.147438988566255 0.29184355740744294 \n", "46 -0.0890791253319279 0.2931379370389525 \n", "47 0.037269291025163 0.2939948682267675 \n", "48 -0.108829668970081 0.2955705134853683 \n", "Rows: 1-49 | Columns: 3" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amazon.acf(ts = \"date\", \n", " column = \"number\",\n", " p = 48)\n", "amazon.pacf(ts = \"date\", \n", " column = \"number\",\n", " p = 48)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Forest fires follow a predictable, seasonal pattern, so it should be easy to predict future forest fires with past data.\n", "\n", "VerticaPy offers several models, including a multiple time series model. For this example, let's use a SARIMAX model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "=======\n", "details\n", "=======\n", "\n", "# Coefficients\n", "\n", " predictor coefficient \n", "1 Intercept 157.796898394296 \n", "2 ar1 0.227469801171249 \n", "3 ar12 0.223437485648028 \n", "4 ar24 0.332300398258616 \n", "5 ar36 0.323432558611675 \n", "6 ar48 -0.0577341008764085 \n", "Rows: 1-6 | Columns: 2\n", "\n", "===============\n", "Additional Info\n", "===============\n", "Input Relation : (SELECT \"date\", \"number\" FROM (SELECT \"date\", SUM(number) AS number FROM \"public\".\"amazon\" GROUP BY 1) VERTICAPY_SUBTABLE) VERTICAPY_SUBTABLE\n", "y : \"number\"\n", "ts : \"date\"" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from verticapy.learn.tsa import SARIMAX\n", "model = SARIMAX(\"SARIMAX_amazon\",\n", " p = 1,\n", " d = 0,\n", " q = 0,\n", " P = 4,\n", " D = 0,\n", " Q = 0,\n", " s = 12)\n", "model.fit(amazon, \n", " y = \"number\", \n", " ts = \"date\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just like with other regression models, we'll evaluate our model with the report() method." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
value
explained_variance0.722933514390621
max_error62492.5846405041700760
median_absolute_error1926.16510474475
mean_absolute_error6244.63330879244
mean_squared_error124238623.160803
root_mean_squared_error11146.238072139093
r20.722927644647118
r2_adj0.7149197731051271
aic3348.6392952754804
bic3367.2752380175016
Rows: 1-10 | Columns: 2
" ], "text/plain": [ " value \n", "explained_variance 0.722933514390621 \n", "max_error 62492.5846405041700760 \n", "median_absolute_error 1926.16510474475 \n", "mean_absolute_error 6244.63330879244 \n", "mean_squared_error 124238623.160803 \n", "root_mean_squared_error 11146.238072139093 \n", "r2 0.722927644647118 \n", "r2_adj 0.7149197731051271 \n", "aic 3348.6392952754804 \n", "bic 3367.2752380175016 \n", "Rows: 1-10 | Columns: 2" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.report()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also draw our model using one-step ahead and dynamic forecasting." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAGSCAYAAABKeZZcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOydd5wcZf3438/M7O7V9JBOEtIvgQCJgSAlAlIUEKSDgihFEOUnFvArigXb1/YVUWlSRAGliIiIghBAFEISAqlAAoEkpLeruzvl+f0xO7tze5fczTNz3OXyvF+ve93t3MxnPjPbPp/n04SUEo1Go9FoNBqNRqPZHUZ3K6DRaDQajUaj0Wh6Ptpx0Gg0Go1Go9FoNB2iHQeNRqPRaDQajUbTIdpx0Gg0Go1Go9FoNB2iHQeNRqPRaDQajUbTIdpx0Gg0Go1Go9FoNB2iHQeNRqPRaDQajUbTIdpx0Gg0vQohxGAhxAohRGU36/FTIcTl7Wy/TwhxajeoFNbhZCHEH7tTB41Go9HseWjHQaPZSxFCHC6E+I8QYqcQYpsQ4gUhxAdC/68RQjQKIf7ezrGrhRAthf9vEELcJYSoCf3/LiHEDYW/xwghpBDilTIZg4QQeSHE6nbkzxVCbBdCZMq2PySEuK1s25+FEDeFNl0L3CWlbCn8/6zCdTYLIeZ24r6cJ4R4RwjRJIR4RAgxYDf7HiiEWFCQvUAIcWDo3z8B/kcIkQ7tfwAwHfhLO7LuKNyn8YrnK993QOHeNBWu57zgf1LKvwJTC/rslt3dPyHERCHEX4QQmwuvoX8IISZ1JFOj0Wg0eybacdBo9kKEEH2Ax4BfAgOAEcC3gVxot9MLjz8shBjajpiTpZQ1wIHAQcDXOjhtlRBiWujxecDb7eg2BjgCkMApZf/+HPBxIcSHCvueDRyM7yxQcDQuBH4fOmYb8H/ADzvQDyHEVOAW4JPAEKAZ+PUu9k3jOwC/B/oDdwN/CRwFKeV6YEXZNVwG/EFKKctkHQ6M60C33Z6vHX4F5AvXcT7wm8L1BdwHXLq7cxbY3f3rBzwKTCqcZx7tOEUajUaj6R1ox0Gj2TuZCCClvE9K6UopW6SU/5RSvhba50LgZuA14BO7EiSl3AD8A9+B2B33FGQGXAD8rp39LgBeBO4q2z8415eA24QQ+wI3ApdJKRsLuxwC7JBSrg0d85SU8k/Aex3oB76B/Vcp5XMFmd/Ad1Rq29l3DmAB/yelzEkpbwQEcHRon7nAR0OPTwSeDQsRQlj4DtznO9CtM+cLZFbjO37fkFI2Sin/jW/gf3I3urXL7u6flHKelPK3UsptUkob+DkwSQgxsCO5Go1Go9nz0I6DRrN38gbgCiHuFkKcKIToH/6nEGI0vqH6h8LPBbsSJIQYiW8Qr+zgnL8HzhFCmEKIOqAGeKmd/S4Infd4IcSQ8D+llHcBq4CFwBNSyidC/94feL0DPXbHVODV0LlW4a/aT9zFvq+VRQ9eK2wPWI6fmhQY82Pb0e+LwHNlTtuudOvofAETAUdK+UZo26vt6DamEH1KiiOBDVLKrQnK1Gg0Gk0PQTsOGs1eiJSyHjgcPx3oNmCzEOLRkJH+SXwjdRlwP34+/EFlYh4RQjQAa4BNwPUdnHYtvtF8LL5zcE/5DoWUndHAn6SUC/AdhPPK9wOeBwbSOiUJ/NSZhg702B01wM6ybTuB9iIOndm3oaATod9F/YQQo/DTl77ZBbrVd0K3sF6xKDiQvwKuTkKeRqPRaHoe2nHQaPZSpJTLpZSfklKOBKYBw/Fz2aG06o+Uch1+es2FZSJOlVLW4kcmJgODOnHa3wGfAs6lHcehcI5/Sim3FB7fW35eIcQE4Mv4tQc/FUKkQv/eTvuGdGdpBMpX4PvQvjPSmX1rgR2Fv3eEtgX8H/AdKWW5Q/B+6RbWSxkhxGDgn8CvpZT3xZWn0Wg0mp6Jdhw0Gg1SyhX4NQXThBCHAROArxU6Jm3Arx04r5CPX37ss4Vjf9KJUz2En1f/lpTy3fA/Cu1TzwKOCp33i8B0IUSQ7iOA2/EN7s8DTcA1ITGv0X5aUWdZSiG1qHC+/YAMfmpXe/seUNAp4IDC9oApFFKfpJRN+BGUsH7HAD8OXS/Af8MdkCKeL+ANwCo4WQHT29FtdSH6pEwhze2fwKNSyu/FkaXRaDSano12HDSavRAhxGQhxJcK6SVBysy5+EXJFwJPAnX4Bc8H4kckKvFrGdrj//C7L03fxf+BovF8NHBxO/8+FXDLzjsFPy0pqLG4HD+y8X0ppQd8BviqEGJy4f/zgH5CiBGhazWFEBX4hcWGEKIiHKUQfmvZTxUe/gE4WQhxRKEm4TvAw1LKhsK+dwkh7irsO7eg7xeEEBkhxJWF7U+HrukoINzO9vHCtoCJ+AZ9cL0AJwN/jno+IcSnRKG1beE+Pwx8RwhRLYT4IPAxWkd5ynVrl93dv0J9xD+AF6SU13YkS6PRaDR7Ntpx0Gj2ThrwowgvCSGa8B2GJfgdi84Cfiml3BD6eZu2XZGKSCk346chdZirL6WcXyg6LudC4E4p5bvhcwM3AecXuih9H/iMlDJfkLUM+Cl+lyVR2H4XrbtAfRJoAX6D3+a1Bb+uI2hxOrBw/UgplwKfxXcgNuGn81wRkjUKeKGwbx7f2bkAP93n0/jpW/mC7GH4TtAjoeNvLVyLKMjYVHatAFuCGRRRzhfet8AV+M7eJvzWq5cXri/gXPzWsx2xy/sHnAZ8ALhI+DM9gp99OyFXo9FoNHsYoqyduEaj0ezRFPLtnwcOChngu9r3cOBzUspzOyE3jZ92dECh9WhH+/8UWCWl/HXZ9nvxi78fSfh8/wSuklIu78S+JwOflFKe1dG+Go1Go9EEaMdBo9FoNBqNRqPRdEibQkeNRqPR7F0IIRp38a8TpZTPv6/KaDQajabHoiMOGo1Go9FoNBqNpkN6XcRh0KBBcsyYMd2tRqdpamqiurq6u9Xo0eh71Dn0feqYHnOPPA9/9l7nkVKSy+WxLAshBFJKHMchk0nTukPrrsnn84DANM3d7teSzVJZURFJv70RfZ86Zs+9RxIpwUqnu/xMCxYs2CKlHNzlJ9JoEqDXOQ5jxoxh/vz53a1Gp5k7dy5z5szpbjV6NPoedQ59nzqmp9wj2VQPVrSPX9u2eevt1QwaNJBUKoXjOGzatIWxY/Ylk8l0SsY7776LYZr07VM+G6418xctZuaB+0fSb29E36eO2VPvkZQSJ5tl0KgxXX4uIcQ7XX4SjSYhdDtWjUaj2UPpZKChiOe6CKE/9jUajUajhv4G0Wg0mj0Az/MAimlJQggQpe0dIaVEAkZEZ0Oj0Wg0mgDtOGg0Gs0eipSSzja4kFIiPYlh6I99jUaj0aihv0E0Go2mi9lQ7/L6JidRmUIIdPBAo9FoNO8n2nHQaDSaLubE27dz0M+30JjrXFpRe3iFTkytU5VEpFQlz5Od7sCk0Wg0Gk052nHQaDSaLua9eo8WG+qzMefmlBv9Eebw+DUOOlVJo9FoNOrobxCNRqPpYlzPN/C9BOdtqkQcpNSOg0aj0WjU0d8gGo1G08UEDkMcx6G9QmhR2K7RaDQazfuBdhw0Go2miyk5DvGMfAHKNQrl7Vw1Go1Go4mKdhw0Go2mi0ki4tAuwuh0qpLneSC046DRaDQadbTjoNFoNF2MW7Dtk3YcDKINgEPqrkoajUajUUc7DhqNRtPFBClKcRwHP2IgWhn+vi+gaxw0Go1G8/6gHQeNRqPpYroqVcmwDLxOCm3P8dBoNBqNJgracdBoNJoupug4qM9/axdDCNwoNQ7oGgeNRqPRqKMdB41Go+li3AS6KrVn+BuGgee5nTpeSol2GTQajUYTB+04aDQaTRfiz1/w/048Vck0cRynU/t6noeuhtBoNBpNHLTjoNFoNF1IOMiQtOMghIHndi7iEOyv0Wg0Go0q+ltEo9FouhAvIcehvVQjQ4Ckc52VPM/TH/gajUajiYX+HtFoNJouxO3CiINhGLiO16lZDlLPcNBoNBpNTLTjoNFoNF1I64hDvOLo8qNN00QiOxlxkEhd5aDRaDSaGGjHQaPRaLqQ8JyFuBGH8hoFwzAKxdedEywM/ZGv0Wg0GnX0t4hGo9F0IUnVOLRHkHrkdqJA2vU8DJ2qpNFoNJoYaMdBo9FoupBwjUOMTKV2i5sNwwBkp2ocPM8t7K/RaDQajRr6W0Sj0Wi6kC6POAjRScch4bHVGo1Go9nr0I6DRqPRdCGJtmMtSzUKHnfWcTBMU10BjUaj0ez1aMdB0yOIUuCp0exJtC6O7orXuOiwxkFKieu6mDpVSaPRaDQx0N8imh5BPp+npaWlu9XQaBInqTkOu3KszU6kKnmeh+t4usZBo9FoNLHQ3yKaHoNt2zrqoOl1JJeqhD8qugwhRIfvG8/z8KSHqVOVNBqNRhMD7ThoegzaadD0RrqyOBoAQ+A4u484OI4DSO04aDQajSYW2nHQ9Ah0jYOmtxLOIorT2GhXcxgs08T1nN0fW6iB0KlKGo1Go4mD/hbRaDSaLsSVXVwc3YkaB9d1QQjtOGg0Go0mFvpbRNNj0BEHTW8kuRqH9p0DwzA65TgIoT/uNRqNRhMP/U2i6VFo50HT20hyjkN7EQPTMHBdd7fvHdd1MdtJc9JoNBqNJgodOg5CiDuEEJuEEEtC2wYIIZ4UQrxZ+N2/sF0IIW4UQqwUQrwmhDg4dMyFhf3fFEJcGNo+QwixuHDMjaIw0WhX59BoNJo9ia4ujjYMA+ntvkbIcT0MU68TaTQajSYenfkmuQs4oWzbtcC/pJQTgH8VHgOcCEwo/FwK/AZ8JwC4HjgEmAVcH3IEfgNcEjruhA7OoemF6OJoTW/FbTUATl2O53nQTtRACIHXkePg2HpqtEaj0Whi06HjIKV8DthWtvljwN2Fv+8GTg1t/530eRHoJ4QYBhwPPCml3Cal3A48CZxQ+F8fKeWL0v/W+12ZrPbOodFoNHsM70vEAW+3dQ6ObWOaVvIn12g0Gs1eheo3yRAp5frC3xuAIYW/RwBrQvutLWzb3fa17Wzf3TnaIIS4FD/CwZAhQ5g7d27Ey+k+Ghsb9yh9u4p8Po/rulRWVrb5n75HnUPfp47pjnu0sj4DjAVg8dKlDN7e4PdljVhysH37DlIpi8rKqlbbXdeloaGBd9/bQCqVanOc53ns2LGDyspK0ulMp87V3NLC/EWLoym4F6LvU8fsyfdISg9r1eruVkOj6VHEXoKSUkohRJfmmHR0DinlrcCtADNnzpRz5szpSnUSZe7cuexJ+nYVzc3NNDc3M2DAgDYFoPoedQ59nzqmO+5R33U2PLcVgClT6phzUCWyqR6saB+/77z7LoZp0rdPn1bbXddl0+bNjBoxgqqqqjbHOY7DW2+vpn//fmQynXMc5i9azMwD94+k396Ivk8ds6feIyklTjbLoFFjulsVjaZHoVott7GQZkTh96bC9nXAqNB+Iwvbdrd9ZDvbd3cOTS9G1zloehtueABcnK5Ku0hFChztXaUqBR2X9NRojUaj0cRF1XF4FAg6I10I/CW0/YJCd6VDgZ2FdKN/AMcJIfoXiqKPA/5R+F+9EOLQQjelC8pktXcOjUaj2WPwZDLF0VLKdmcxCCGQUhanQ5fjb2+/latGo9FoNFHoMFYuhLgPmAMMEkKsxe+O9EPgT0KIzwDvAGcVdn8c+AiwEmgGLgKQUm4TQnwXeLmw33eklEHB9RX4nZsqgb8XftjNOTS9FB1t0PRGWhVH735OmzKGYe4y4mDbNkJPjdZoNBpNAnToOEgpz93Fv45pZ18JfG4Xcu4A7mhn+3xgWjvbt7Z3Dk3vJHAatPOg6W207qqk9vqWUiIBYxcF1UKyy4hDLpfXHZU0Go1Gkwh6CUqj0Wi6kK5uxwpgWAbeLoS3ZFtIZ9Jdc2KNRqPR7FVox0HTo9ARB01vI4niaCklcjcHG0LguE7bc7su+ZxNup02rRqNRqPRREU7DpoegXYYNL2VpIqjgV3WKRim2W6qUi6Xw8MjndYRB41Go9HERzsOGo1G04W8L6lKhoHrtI045HI5BOhWrBqNRqNJBO04aHoMUkodedD0OpIqjvY8id+1ui2mYeC18/7J5vKYEQfNaTQajUazK7TjoNFoNF1IuMahq/xiP+LgtWnJms9ldZqSRqPRaBJDOw6aHoWOOGh6G0mkKvntWHcTcTBNJK0jDrZtk8vbVGQyaifVaDQajaYM7ThoegzaadD0RpIsjt6V42AYfjvWcIF0LpfDkx4p3VFJo9FoNAmhHQdNj0I7D5reRnLF0btpx2oYCINWqUrZbBZTmHpitEaj0WgSQ3+jaHoEv33Z5pcvaadB0/tIbI6D3HU7ViEEyNYRh6aWFtIVur5Bo9FoNMmhHQdNtyOl5Lonc3zvOWjOex0foNHsQSTRVakjDMMAIYoRB8dxyGVzur5Bo9FoNImiHQdNj6DF9n872m/Q9DKSSFUKHIJd1TgEBBGHfD6PlB4Z7ThoNBqNJkG046DpdqSUuAWDqqsGZGk03UWSxdG7wxRG0cFobm7G0PUNGo1Go0kY/a2i6XbsUlo2jqtDDpreRRI1Dr5D0MHBAlzXQ0pJU1MTFVUVaifTaDQajWYXaMdB0+3YIcPK1SEHTS+jVapSHL9YiN2mKqVSKVpyWXK5HNlcnsoK7ThoNBqNJlm046Dpdmw3lMrRCx0Hx3FoamrqbjU03cT7URwNUFNTQ0tLC1u3bQOBnhit0Wg0msTRjoOm2wmnKvVCvwEpJY7jtOqxr9l7SKLGQUoJcteTo8GPOFRkMjQ3NetuShqNRqPpErTjoOl2WkUceqHjAEEf/l56cZrdkkSNQ2fp27cvnpRUVVV17Yk0Go1Gs1didbcCGk0+5Di4vdS41k7D3ktS7VglHbdjNU2TYcOGqp1Eo9FoNJoO0BEHTbcTjjjo4mhNbyMJxwE6dho0Go1Go+lqtOOg6XbCNQ69sRurjjbs3STlOGg0Go1G091ox0HT7djvYw54d6FrHPZewlE01a5KnZ0crdFoNBpNV6IdB02309vbsQZox2HvREccNBqNRtNb0I6Dptvp7e1YNXs3STgOUkp0rEGj0Wg03Y12HDTdju31/q5Kmr0XHXHQaDQaTW9BOw6abifv9P45Dpq9l1ZzHBSL/4N2rBqNRqPRdCfacdB0O709VSkojNY1DnsnrSdHq78GhNAf1xqNRqPpXvQ3kSYW2WwW13U73nE3hFOVnN7Yj7WAdhx2j+d5vfIe6VQljUaj0fQWtOOgUUZKieM42LYdS47TyyMOms6Ry+VoaWnpbjUSJ6nJ0frDWqPRaDTdjf4u0sRCShk/4qAnR2vwX0ueahFAD8bdC+aUaDQajWbvQDsOGmWSSisJD4DrhZkqAL3SIE6a3uo4hOsaVF/efo1MMvpoNBqNRqOKdhw0sYlr7JUXR/fGPHfovdeVFL31/rRKVYrxVjEMPclBo9FoNN2Ldhw0sUjC2AunKukxV5reRusaB7X3S291qjQajUazZ6EdB01s4ho1+ZDj4PTCJPDg/mjjr2N6Y6qSm0BxtJSAjjhoNBqNppvRjoNGmcRqHHRXJU0vxtPF0RqNRqPpJWjHQRObuA5EOMqQhGHV01att7d4zF+nLca9ldYD4NRkuJ6HIXTEQaPRaDTdi3YcNLGJ6zi0ijh48SYse55Hc3MzjuPE0imQlURUZcaNDXzk9x5zV8Wbd9Gb6c3pXHoAnEaj0Wh6C9px0MQimeLo0t9xDaugpWfc2RKQ3ECy9Q3+Rf17dXxnRrPnkUxxdM+Komk0Go1m70Q7DhplAqchdjvWkGXlJmAfJbVqncRwuzDV6cRE9Ur8WQW9b0k+meJoiWHoj2uNRqPRdC/6m0gTmyRTlXqS3Zi0IVud0jnqeyO6OFqj0Wg0vQXtOGi6nfAcBzeBVKXw7yRkJUWVjjjskvDz1tuiDkkUR3ueB7o4WqPRaDTdjHYc9hA8T/LJe3fw8+eauluVVgRpSnGMva5ox5pkulIcvNAFVemIw15JUpOjNRqNRqPpbrTjsIewervL7xdmufH55u5WpQ2xU5USbseaJHGvrSkfPr6HXVwPozdGGyCZGoee1mJYo9FoNHsn2nHYQwhW5XvSZOWuGgAXf5W/5xhZ9bnePRVb0zFJdFUCdHG0RqPRaLod/U20hxAYnXFrALqCuCvFXVEcnZTzENeJqc/23GhKT6I3RhoCkiiOlj3IGdZoNBrN3ot2HPYQnILdkES70iRJZI5Dq1SleE5IT6ltCGjIlZ4wbfvtnSRRHC2lRAj9ca3RaDSa7kV/E+0hlByHnrcym2g7VpIpIO4pDoSOOESjN9Y5JFHjoNFoNBpNT0A7DnsIjtvzUpUSq3FoNQDO6TGGYxKtXXWNQ+fpKc970ngxHQcpJRIwenBTLmPjO6Sef0iH1TQajaaXY3W3AprOEUQcnIS+l/3Uh55hibSucYh/gUmuWseV0xCOOGjHYZf0VqcBkiuO7snUXHey/4dpYR/2se5VRqPRaDRdRqyIgxDii0KIpUKIJUKI+4QQFUKIsUKIl4QQK4UQfxRCpAv7ZgqPVxb+PyYk52uF7a8LIY4PbT+hsG2lEOLaOLru6SSZquQ4Ds3NzYkaa/GKo0MRB+JNSUvaYYidqhSqcehJ0aKeSm90IBKZHL2H3Bfj3eXdrYJGo9FouhBlx0EIMQL4AjBTSjkNMIFzgB8BP5dSjge2A58pHPIZYHth+88L+yGEqCscNxU4Afi1EMIUQpjAr4ATgTrg3MK+eyXFrkoJRByklNi2nUjnoSQMPSfcjtVLJlrQUwxQXeOgcWMWR/sRtJ7djtXrO8j/PXS/btZEo9FoNF1J3G8iC6gUQlhAFbAeOBp4sPD/u4FTC39/rPCYwv+PEX6uzMeA+6WUOSnl28BKYFbhZ6WU8i0pZR64v7DvXkkx4pCA8Rmk8sR1HALjXAgRL+LQQwfAJeF8NIRqHHTEYff0pPkbSZJEjYPn9ZzUwvZwJ84EQFbVdrMmGo1Go+lKlGscpJTrhBA/Ad4FWoB/AguAHVJKp7DbWmBE4e8RwJrCsY4QYicwsLD9xZDo8DFryrYf0p4uQohLgUsBhgwZwty5c1Uv632nsbGxU/ou3FgNjML1iH19tm3jOA6ZTCbWKmY+n8d1XaSUVFRUKMvatmMUUA3AujXLef55F9M0i//v7D2C0rWZpkk6rZ725Hke+XweKSWVlZXKcpavGgL0B+Ctt1Yz11yiLKsjotynnobjONi2jZSSqqqqLjtPd9yjTZtHAL5BvWNnPXPnLvbzlzrpB7iuy44dO6muriaVSnWdoiGaW1qYv2hxp/efUt/IMGD1W2+zId354/Z0ot6nvZE9+R5J6WGtWt3damg0PQplx0EI0R8/AjAW2AE8gJ9q9L4jpbwVuBVg5syZcs6cOd2hhhJz586lM/ruXJKFl3cAcOSRR2HEaLGSz+dpbGykurqaTCajLCeXy9HY2IiUkr59+yobNRULNsFOf7V56PDhHH746FZ6dfYegX9tDQ0NWJZF3759lfQB31hramoil8sxcOBAZafo9nU74N0sACNH7cucOfso69QRUe5TT8O2bRobG8nn8wwePLjL0nK64x4NWLUdNuYAqKmpZc6cOcimerA69/Fr2zZvvb2aQYMGvm+Ow/xFi5l54P6d3r/Pr/4NwH5VgpERjtvTiXqf9kb21HskpcTJZhk0akx3q6LR9CjifDsfC7wtpdwspbSBh4EPAv0KqUsAI4F1hb/XAaMACv/vC2wNby87Zlfb90rC3ZSSSldKIjXE87z4k6O9khPkoG7sQ3JFzUkRTlXqSWlYmvePuDUO/nssQYW6AHefff3fUw/rZk00Go1G05XEcRzeBQ4VQlQVahWOAZYBzwBnFPa5EPhL4e9HC48p/P9p6Vt3jwLnFLoujQUmAPOAl4EJhS5NafwC6kdj6LtH47SadRBPVle0Kk2qq5IkXr1E0uiuSu8fPel5T5Kws6B6hULQo2scSPvpfDKlHsHUaDQaTc8nTo3DS0KIB4GFgAO8gp8u9DfgfiHEDYVtvy0c8lvgHiHESmAbviOAlHKpEOJP+E6HA3xOSukCCCGuBP6B37HpDinlUlV993RaRRw8SacTpHeD67od79QBcQujAewk2lV2AUkYsrqrUjSSeD31NOIWR3uFeoge7Th4hbK2Htz5SaPRaDTxiTUATkp5PXB92ea38Dsile+bBc7chZzvAd9rZ/vjwONxdOwthFuWJrFy7Xleol1s4kUcwp7DTqSM15nF87zYRlZSxms4VUnKnjV4ryfR25yFMEl0VaKHv27M91YBkJr3d3IjJ3azNhqNRqPpKvTy0B5COFUp7vToJFOVDMOIbdCEnSLpZWPrlCSxU5VCEQedqrR30sovVnjv+hEH0aMdhwBjy15bhqbRaDR7Bdpx2EOwwxGHhAIFPSbikGBxdEBPWcEO1zjoVKXd09MK25PCa1UcHf3agvfpnuA4KHlGGo1Go9lj0I7DHkLr4uh4hlVgmMWtcUgq7SZcHO1R0WMGgQV6qBqyjitpsUuPk3L4NHsWSaQq9TZnSqPRaDR7JtpxeB9wEshRSbIda9jgT8IgEULEMva7oji6JxTZhusbQEccdkd4CnlvI67jAGD08PvScs61AMg+A7tZE41Go9F0Jdpx6GJ+v6CFvtdt4rlV+VhyWndViqfTPa/kOeUPThvDNirJtWMNyfSaYslKKgqSdEcl0I5DZ+luhy9p3JiOsV/j0MM/qq3CYDrX3v1+Go1Go9mj6eHfRns+L75j02xLFqyL94WaZKrS71+x+e8aeHmt1+1GmpSydbG3ty22vPDvuMSJXDTkWnt4rqdTTnZHEt2weiJJtGPt8R/UZqFBn6MdB41Go+nN9Pjvoz2dwOB3Yo5MSDJVKe/4AuyYgpJIeSrvEOVSFUunJIk//K318bqr0t5J3OLoPaGFb+Xdfldub/CobtZEo9FoNF2Jdhy6mCB/34kZJQjXScRNVQqMdUcmUwcQZ1XeLnOoHAb2mlV5narUeXrLc94e8SMOEoye7TjIyhoA8kef282aaDQajaYr0Y5DFxMY/HFnLyRZ45B3SzLjdjCKPTXaTda4DjrQxO1Ek0T9Rr7s2nRXpY7pjR2E3FbvXYltR0vncT0vgTnxXYwbTI42u1cPjUaj0XQp2nHoYpykIg5e+O94sgKD1nbjG2miMJhKOeJQZkx70k3EcOwJxme5o9ADVNJ0A60iDh44jhPpeCl7fu2HyPuDG0X9lm7WRKPRaDRdiXYcuhg7tLofh1bF0TEMUCllsd7C9tQN7HD7zHipSq2PM9x3lOSU65UUcQy2cv/OlQlEaGy7RzhFSRNMIQ/+7k20TlVSq3EI7k1Pp/Kub3a3ChqNRqPpQvaMb6M9mC4pjk4sVSne/IUkKK9x8GTPeUnGTXkqdxySSMPK5XLkcrl4gnogvc1ZCNO6ODp6eqDfjrVnRxyK9OLnUaPRaDTacehyEktVChnYcduxhmsc4k6PhngD4MojDrYxJrY+SZDEQLLy5ymJrkpSykSes55IT0/HUSWJOQ49OuIQfu+70dKwNBqNRrNn0YO/jXoHxYhDD0pVshPSKYl2rG1rHOJ3ekraAE0q4hB3MbY3r8r3Zsq7KkV9Hj3XRfTwAXD29KMAEHoAnEaj0fRqeva3US8guRqH0t9xU5XsBGocwsQx1JPsqlR+Ld1taLepcUgoK6y708vCSCnJZrOx73U4Jay7n7ekidOOVUqJpId3YzUMcqd9wf9bD4DTaDSaXo12HLqY5LoqJTc5OlzjkERxdBzKaxyE806PiTjENdDLHQWV1eb26EmGted55PN58vl8LDlB9Ko3piuV1zhEQUqJ3BMGgJgp/7dOVdJoNJpejXYcupjkUpVKf8dJVfI8rxRxSDBVXrWzUnnEQXrZbtWnqEcCaViBwSiKj+Mb/T3JaQjoaTo99FqW0+7aTmOuZ0Rm4qYqAT27xsGxsZa+AIDQEQeNRqPp1fTgb6PeQclIT26OQ5yUF9eDQBMnZqpSkF6S5BwH29hXWZ+AJFetk2jHmirMxIprxgb3uKelKvU0mTf/t5lHluT4z+qeYcSG369RL01KiefJHh2JEdkmKu7/EQAtF/+gm7XRaDQaTVeiHYcuJrGIQ8jxiOM45ENRhriOQxK0qXEQlbEM4yQiBe3JVCG4tFThXdabJ0d3d61MmGDAYc7pGZGQOBEHv8ahh89x8PwPFa+mP+74g7pZGY1Go9F0JT3426h3UKxxSHCOQ5x6ibChXr7aH4XyGgfVeQdt5zjE1ykJkhi6Ffg/VhBxSEi9nhRxgJ6nT/CayveQrrWxi6O7aACcufxFKu75Dta8v8cTFDz/Pdm50Wg0Gk0i6E/6LqbUVSnBVKUYosKrsHGjIAFJTo7G3ZJIcXScwW1J4RbObwURh4RqHLr7usIk0QkpqUL7gOB1nU9icEYCxCmODpyyrkhVMt9bRfq5BzFXvRpPUCHiYNRvJfPQ/8VXTKPRaDQ9Fu04dDFdMschVqpSa8chqbQgVdpEPdxNseQlRTLF0f7vIFXJi2n0h4/tic5DEsQZJhgQOKP5HtLgJ84AOP9edM1zbax7EwDznWXxBMnSBab/cVc8WRqNRqPp0WjHoYtJrh1r6e847VjD6RtJzXGIQ3mqks3gWPKSNq7jRFOCpykt6n193PrY+kD3P2dhkpq9kIQTGtDzIg6lvyUK96qL2tRai+b6v1ctiicoNMlcSK8YgdBoNBpN70M7Dl1MUNScaHF0DHsoH05VivH9ntwch9YX4xqDW8lX0SkJkkgJClaaU0ZhxoFsialVzyXJ4ui4suweXBwN0aJ8UkpI0KlqRUI1CaLcUdAtWTUajabXoh2HLsbuguLoOK1d8wkVR7dHnOJos2AXeTK+M5KUkZVUqpJp+MOxbNkntk6e5/XIOoekUrCSwCk6Dj2jaLuN4xDhcj3P67KIQ2nCSDy8wSNp+PG/Shu046DRaDS9Fu04dDFOFxRHt2RzuK6aJxJODbLd+IPSIJ6hbhfuS8YqtHT0st2eYgTJGLNBUaxp9QPApTKWvKTSgpIk6fqGJCilKiUiLjblqYWRHQdC98bOUfWzS0k9c398xZJyRkwL2W8wXk0/X6zbQxyHlkaqbziX9FO/725NNBqNptegHYcupiuKo23HVS4gLS+OjmP4eZ6XQKqS/ztj5AAw7FWx5EFyKS9xr62UquT/9mT8wl9Ixlh3XRfH6SHVwyTbLSp4r+SSDqkpEifiIKVsFRdIvfQ41vIXqbz3+7H1kpW1/u9UJrYsAEw/stZTIg6p//4V852lVPzxf7tbFY1Go+k1aMehiymmKsV2HEJ/x0lVCuV9JznHQXWFP0i7ypj+b5cKdaVItsg2LFOFYnG00eTL8ZKrcYhrZDuOQ1NTUzKRlUL6VFLEr3Hwf+d6SMQheB0EbXmdCG3RPM+jleuQoFHujjsAgOy5X4slR2x6l8obr8TYuRl3n/iT3xPDMLtbA41Go+l1aMehiykVRydjDEHM4uiyVKUkiLPCH0RAUqkaXydznLIePSmFB0oGY4YNhQ0NsWUm6RglYfAncc+7bI5DAjUOuVwudpSo3HGImqoUvi/u6CmxdGlFkO5oxjOwRdNOUoufwx0zjabvPYbsPyQB5eLjjZzQ3SpoNBpNr8PqbgV6O05iEYdwqpK6wWe3SlWSxRSRrim+7Iw+/u9MaLpyXJ1EoZhU1eBrbyq2CkFue8rw9XASqnGIo1OYJNOmepLTFtTNxK1xkFJi2zau61JVVaUso9xxiNJOWUqJCLdz7TMIAC8B4zx74bfIfuK62LUOovA6kj1scrQ7dn8ApBD+dOsepp9Go9HsiehP0i5ESllyHGL2lE9qcnSrrkpuMhN/41BMVbL8C4wZmEmcOA5V8VrS/sqnQ00CGvkkFSnoCRGHMEkU6wfvlaTascYbkuj/FgIM0Xpb584tMazQx3Qq7f928so6BRjr3qTP52ZR/YNPxhPkFmplelpqkGkhK6ohXQm55liixKY1VNz5DcSmdxNSbi/AscHOxRZjrF5K9Tc+RsVd1yejk54zotHEQjsOXUg4lTnROQ4xiprLB8AlhWpxa6BDlVgDgMi/EduZSao4Oi5tUlQ8odwNq5ykUoSSiDokQU8cABe8puPco+A1YFByHKI4x7ZjY4VSicSOTXj99sGdMENZpyJmIeAct26iMDnaWvkKtZ+fjfH24piKJYOo30rz5T+n6ev3QWU8p73yD98j/Z+/UP2/n0pGuR5K6un7qPmfjyC2bYgtq+Ybp1D7xSPbzvmIiGjcgbnhbYzt8XVKP347fS47iMyjv44tS6PZW9GOQxfiJOk4tJKlbhCF6xqcGBGHsKEXx1B3iuk8hXasMp4Rk5QBmoScwG5NCX9F1pPxuxgFevUUxyEwrpOIXFn5lzHdt2LrE7zG83b3h6+KjoMoZQRJOv/8BXMcAowt6zB2bIoWttgFmUduAsBcH7OTWcgwFNkmhB0/GpIE5usvU/3zSxMxEkXjNgCMnVtiy+rJVN73A4zNa0k/eU88QVJibFmHyLWQaqmPJUrk/aYSMh0v1RNAFCIg0krHlqXR7K1ox6ELCRv4Sc5xCOoAVCjvqhTHODbcNVgN92C0PK0sozgkLe0XRTvmRGVZSdUmhI+LY6QHNnmlXOLLjVkc3RWdi5JwHBKZBeJuIN14G7UtP4slJ/w2S2KOQ1znyg05DioRB8e2Mc1QKVqCaUHGxoTSbsqjaD1ljkOgVwL3ypk+p/SgB9XzAJirXqXmy8dgLXomtqz87JMB8Eaqfw4DkCt1kLPy8brJiYKs1KKnEfVbY8kiny0olepxz6NGs6egHYcupNXqfoLF0RG6ObahvcnRqkaf8LZjZudi5Jco6xNcixmk85BSlpU0sYujC8elzCCaklwOeE+rTYiNSCNFJa4xNJZu4fdZEqlK4d8qeIX3rWmUHAe3k/KklEhKx/kH+6+l1IJ/lpwIVRLqhyBr+2MfcGRJbMzUp4rffZuK3/5PbMNOeP79Sc17HOu152LJyp18OV51X1/u9o2xZCVNxV3fwNi5mYr7f5SAsGr/d7YplhgROt7OVMeSFXZCxI7NsUQJ23ccKh74KWLre7FkaTR7K9px6EJaz15ITpYbJ+IQ7qoU17AS/XArj8XLzFJedQ4Mq1TBpo7jFIVJKp0nieJokZoEgCNrE9MnKcM/iZqLRAbS0Y/cwF/SWP2NWHLCXcPiOg4QP+IQTlWKGnHwPA/X8TDDNQ5hZyFu4alI5uPfG11Hy+dvwg5W5WM6NOnnHyL94mPQErN9cei1LXZsiidLiOIqvLnuzXiyEsYdMw2A3MmfjS1LFhwHkZDj4A0ehV3VN56sUMRC1MdMFcuX3jPm+nhpkRrN3opux9qFtGqhGjdVKWTfeVLdmG1vAJyK4SelxPJWYeaegspjQOyv5jgEQ9K8VcBYcDeC7J9ImlEcEml3GqRhmTWAxCN+alDQ1z+p64zXMaiUGpZkkXVyEYfu0yOgPcehs2I9z8OTHka4jahXMsqFnS8aekok5DgUsRKYHB16HYmWJmRVH3VZIQdGNMfLsyefJffxq2ipHYAcNCKerIQxCivn3oBh8QR5Lpm//xaI7zjITCX5I89AVsdzGoBWEQejfitx3tYiSFUCjPdWwf5HxJCm0eydaMehC0m2OLpkbcTxQcoHwMVZUZeiAmkOQRp9QVGnYFE4LfzVRenuRKBmDPW09JtSGpYAZOxoSrhgO6mi5iTkxEVKifAasFqeQbqV2OnZyrLC6YFJtWONM1ekdY1D8DooyOvg2OC5CUccWq3mx23JWpCbP/LMeHJyLb5hHhhlsRyHUJQg16z6sdJWVnO86EXFH39M+rkHaDn/Ouw5Z8WSlTTG1vUAyD4DY8kJ3yMRs32t7D+E/IcvwHhvJdVb1wL7K8tyx04r6bUzXo1DkKoEYPTwiMOCBQv2sSzrdmAaOjtE8/7iAUscx7l4xowZbcK12nHoQuwE04LKU5VUDT47wRoH2zqIVGYQCAsUbZjiimx6PACOsQ8S9Y4X4U5PcaMWwSA51XSe4Nqq5ELgQPAaAbVBYgFJdlSKc22BjKR0Mr13sFoexIJYjkPYwU4i4pDU1GiVVCX/uZGtIw7pitLfcduoFsgfflqs463XnqXq1q8i0xVkT/9/eKMmqQsrFFbLdAXecPUp8lCqcQAQTTEjDoGsmFO2E8d1MLb5jkPF779L8zV3K4sSTTuLfzuTD4mtWuq/fyXz+G0MnnU6HHOishx32uFkz7iaigd/FjtVKffhC5BVfUnNe9yPOPRgLMu6fejQoVMGDx683TCMnrUqpunVeJ4nNm/eXLdhw4bbgVPK/6+92C4kqYiD58lWxoYbJ1UpQWcGdwepnf+H1XCPcrpKMZ3H8vP/PdHXL5RNyDjuTrzC+TPC/0LubFFsZ+jua0saKeLXf0CyxdEBnqc+qT2o4Qk7Dp2dHB20Yg1HOuzDPoY7dCxQai2pirP/EeQPPQlZ2z+WnGBl3znwQ+RP+DTeiPHqsoRBfvbJ2LPUDc2A/OyPFfP+Y6cqFRzsinu+Q/V3zopfX5JtovqGc0k/+ptYYlrVbsQdbFa4R+7oOpyDj4klStRvxdiyDgArFy/tCUrRFCNmVyW3bjbZc74KFGocevbn6LTBgwfXa6dB835jGIYcPHjwTvxoV9v/v8/67FWE6xKcGEPbyu2fJAfAxenBL0UFXnp/ZNpfYVSRExhRxSFpMl76VEBcGUmspgepSYbl5x67MSdHB1GCJGscArlxjk1CF8fYl9zg39LQ9zexVvntssnocYl7be3NcYgScRC081q2kpkenfvY53CnHIK1+PlY0QtRMKplEpOj0xVkP/09shd+O76s6j44+00HEnAcCka5kBJzzQpES2MscamXn8B8Zynp5x6Mp5eZwqnzI3QiF7PtaSEqE6uupID1ytOk5j0OQCqm42CsfQPRuANn/EG4o+ti6yZrByCr+vgzRxq2xZbXhRjaadB0F4XXXrs+gk5V6kLKC6I9CaaCPVserUiyxgHUi6Mzzn8R7mbcilmoVqwVi6PlWmAYntsC0gD6KclLcgKxZS/EpR8wUun44vOUngx4uDKewZ/k8LeAYDVd5Z6Vp3Qlee9VKS+OjqNT+D7HdfoNIZSKo9srYJYVVchMVatCYlUq/vi/iOYG7FkfKRU3R6UwOdp8bxXWvL/jjZwYK80o/eQ9pJ+5j9xxF2LPOVtZDoC3z77kP3QubpwoCLSdfhwz4mCsf9sXc+TpseTIfoPJnvc/1Fx3cqvCXxUC58pY+wbmGwtwJ6pPJw8XV1sxC60zD99IavFzNF95Y+t5Ggqk/v1ncGxyp1yOTFcmMlROo9nb0BGHLqTc4FdNVypPKVKNOEgpW0VB7Jh2hyHrEe4GhFRf6QqM64z0C9WkswlTblXv9OSuwmj+F6a3VnnlWkqJcDeSabyFqkb13ujBtaVC0ZQkjH7DMBLrhhR+rEpcZ0ZK6Ruf0o2dOuC04xjHIamIQ6s5Dp30/F3XxSxzetJP3IGxcTW5ky7FGzM1lm7G+reKBbEiztC2glFtvrucqtuuiTeIzLEx33oNY/NajO3xWqha8/9JxV9+hTN5FvZRMQvAy1rMxp2Oba1cCIAz/uBYcsDvYARA3EFrgePQsI2K3383nqyQsxA34pDk5OjMIzdR+YcbsA8+FvuIj0NFvJqz3o5pmjMmT55cN378+KmTJk2qu/7664ck0cJbheeee67qU5/61KjO7j9r1qxJY8aMmTZ58uS6yZMn1915550xczKT4Z577um3YMGCio737LnoiEMXUm7w5x2PjBU9nF/ucMRJ3Q7nfUvZeSOmPbLpEzH6nABGNTTHS1UyUn6LQ5cqOu43s2vS9n+xWl7EzRxP3orRnlCkkZhI4bcTVFm5Dq4tIzYA++B5OaDnfF4EBn9PiIKk3flktvyODLC9Sn16tF1WHJ1ExCGJ6eEi3I61k69vx/HKpr+ByDZjNGyHmIYrQNX/hfr+xym0bjM5Wn2Og9i+kdT8f/h/N+/sYO/dY655ndS8x3GH7Qcxc/bb1A/ESRPLNWO+7Q/NNLa+F6u9qPnWa4iG7QCxIw7ufgeQn3MW6bl/it2OlWypK5OVayLOGlWQgiVyzRhrXvejWaaa6RJ0VdKRhs6RyWS8FStWLANYt26ddeaZZ+5XX19v/vznP3/fp+cdeeSRzUceeWSkdl+/+93v3op6jG3bpFJdN4j2kUce6ec4zs4ZM2bEe8N2Izri0IWUG/z1jWot7tpLVUqixgHAUUyf8afa1mBt/QapzVeBVCsgLa7IFroqucZgPGOfyHICDM+f6mo5y5RlAHiiH9mBN9Pc9/vKhmdwbdXeSwDImMWL4bagSbRRNQwjse5T8fF28Xc0wu+VJCIOENNxkOHi6EIr3U6+f13PwSrv4hO8hhQNp9YnCBdhxXAcZOvnK87k6HBKUPxOSIVIyDtL/TqOGO+Z/IcvoPniH+AFLU9jpCoFTgNAxR9uUJYDkPnLr6i66fP+g1xLrIidt+8Usqf6skQ2XjtWkUsu4hDMcaj61VXUfOdMxM4YnZUKzpW1ciGpZ+5HFAq4NR0zYsQI5/bbb19955137uN5HjNnzpz0n//8p+iBzZgxY9J///vfyquvvnr4mWeeOWbWrFmTRo4cuf8NN9xQ/EI/9thjx02dOnXK+PHjp/7kJz8ZFGyvqqo66LLLLhs5fvz4qYcddtjEZ555pio4/g9/+ENfgMcee6z2Qx/60HiAnTt3GmecccaYiRMn1k2cOLHurrvu6teZa9i4caN57LHHjps4cWLd9OnTJ7/00kuVAFdfffXwU089dezBBx88+eMf//jY9957zzr++OPHTZs2bcq0adOm/POf/6ze3XnPP//8fadNmzZl/PjxU7/4xS8OD853xRVXjBg3btzUiRMn1l166aUjn3zyyeqnnnqq33XXXTdy8uTJdUuXLs3EeU66Cx1x6ELs8oiDoiXjlEUF4kQc2qRPuepOiDAMwEDiIUS8lqWW0dqoUnaMUh/EdJpwUgcB6ivO4ePUjUb/d5Bu4sRoMxvWKYnUoO8+nWfFZpfbT0lmCFycWQcAdmo2+crJ2I4Drvpqj+O2jTioEm7HGr/GIdSOtZPHOo5TqqguCvRX8yv+fCPeqEk4cQZYhduVurbyzARn/yNovvJGrJf/QfqlvxVbqiqR5NC2wvWlFj1DatEz1P/i36BY+Bvk+3tz/4RRvzVWRytz5SvFv4Xr+E6bYn2JKAx/yx1zvp+6JmXb10wUMoXUnWxTLFmB45E988u8OGAqcRKyiqlKlTWIlkZEwzbkgKHRBXkuwrGRQpB67kFSrz1H8+d+gdPDBvrtCnnakF0XnVx4/Tvi1Cu2AMhHfj2Iu789ele7ij9vXKCqQ11dXd51XdatW2ddeOGFW26//fZBhx122JrXXnstk8vljNmzZ7c88MAD/VeuXFnxn//85/UdO3aYU6ZMmfaVr3xlcyaTkX/4wx9WDxkyxG1sbBQHHXRQ3Sc+8YntQ4cOdVtaWoxjjjmm/pZbbln74Q9/eNx111034vnnn39j4cKFFRdddNHY888/v1X48dprrx3Wp08f94033lgGsHnz5nZTOS644IL9KioqPIC5c+e+fs011wyfPn1681NPPbXq0Ucfrb3wwgvHBhGVN998s+Kll15aUVNTI08++eSxV1999cbjjz++8c0330wff/zxE956662luzrvz372s3VDhgxxHcfhsMMOm/TSSy9Vjh49Ov/444/3f+utt5YYhsGWLVvMQYMGuccee+yOk046aedFF120XfV56G6049CFlBvpecUihzapSjEWm8tbVKrWOUgpSdn/was8Cq/ySMirGcXBtViiAaiI3R0vZx1Cqt8xOPk85NXSCaSUGN5GUg3/wBBDsM0PK8kJbrVXfSrg4Ekr1tyEJLljgc3WZth4jEltrXotSBC5iHtdUkpIDUfKPHjqhmf49Rx3jgPET+cqOY/R5zh4rksqU5baFk4DirkiL1oNk1O/53LQCJxBIzA2rYGX/pbcALiEWqgW5TXVx+4Y5E76ALLv4FhyjO0b8QYOL058xs6pOQ5SFoe/5U69EuJMEQfMZf9FtBRqXqTnr85nFFN6CqlO3pB98WS8BZOgdsMbNBJzzQqMnVvUYpL5grOXypQcpJiD7vZmPvWpT23/8Y9/PCyXy629+eabB5133nnFUNBxxx23o7KyUlZWVjoDBgyw165da40bN87+0Y9+NORvf/tbP4ANGzakli5dWjF06NCmVColzzjjjHqAqVOntmQyGS+TychZs2a1rFu3rs0L6Lnnnutz//33Fyf4DR48uN1P+/JUpXnz5tU+9NBDKwFOOeWUhksvvdTatm2bAXDCCSfsqKmpkQAvvPBCnzfffLP44m9sbDR37txp7Oq8d99994C77rprkOM4YvPmzalXX3214uCDD27JZDLe2WefPeakk07acfbZZ8fLvexBaMehCyk3+Mu7LHVaTpmxn2SqUpwC6ZSzGNN5DZmeghADY6UqVdnPAscjnfWk3G1IeVhkWVJKDNkAbhZkvFoC4W3HzL2ECTRVqzkOwUJ+0Go2obECrSIhqiv82YJtl0Q6T9KdnuJ0aCqPOHie13rycgQ8zysWosd1HMIRh86I8jwPz5NYZuts0lapPHEnR4cN6xh1CQGyYPzGKrRu5RjFm/Zc3glJNNcrR1Wslx7H2LmF/JFnqK12h8h+8psA1Fw9B6NhGyKfRVYqtGp2HYSTR5pWbKcBIPP47Vivv1x8LHLNpcLriGTP+x/y9Vtxh4yBN9+JpVdQ4+ANHOa3wm1Ss79K9Q0VxeuK28L2/aSzkQJx6hVbKEQfkmbZsmVp0zQZMWKEYxgGRxxxRP29997b79FHHx3wyiuvFPODM5lM8a1mmiaO44jHHnus9tlnn62dP3/+itraWm/WrFmTWlpaDADLsmQw6NIwjOLxpmniuu770qqvurq6aA1JKVm4cOHyqqqqDj8yVqxYkb7pppuGLFiwYPngwYPd008/fUw2mzVSqRSLFi1a/uijj/Z58MEH+//mN7/Z58UXX3yja6/i/UHXOHQh5alKqgPXkiqOllK2MRRdTz1f3k7Nxq05C2mNKMqPSpADblr+CpArBSJGuWBl7gFSW76CaS+Ot1JsxDMOoDTwLWUUpuHKGF5agkgpaSnYZ66MVy+R1KC+lD2P9KZPU7XzKwipvgrYqvif+EMOY6erhYujjUCvjh0tP02qHeepVV1CTMehYFjX/2perA5N5hvzyTz6a6w3/U5BsYqjQ8fG74TU1nFQJT33j1Q88JNSlCAJgingqkXNwb0yTKyXnyD95D2Ixh3K6rQxyGMUSMtBI3D3O4CKR27k4Ie/jdi0RllW4/UP0Xj9g8iafv4G1TQxO4+00hB2HGJ2otqbeO+996xLLrlk9EUXXbQpMPI/+9nPbrnmmmtGTZ8+vWlXq/4BO3bsMPv27evW1tZ6r7zySsWrr76q7O0eddRR9T//+c+LtRO7SlUq55BDDmm48847B4JfM9G/f39nwIABbb4ADz/88Pof/OAHRflBLUd7592+fbtZWVnpDRgwwF2zZo01d+7cvuDXQ2zbts08++yzd958881rVqxYUQVQU1Pj1tfX79G2dyzlhRD9hBAPCiFWCCGWCyFmCyEGCCGeFEK8Wfjdv7CvEELcKIRYKYR4TQhxcEjOhYX93xRCXBjaPkMIsbhwzI2iu5vER6S9dqwqBkh7qUrqEYe2qUqqspzUdHC3YTb8AUOqDdIJUpVEld/1xDWGkDenK8kCML13AUi3PBIvv130Jd/vWlpqr1V2QILV5tr8fYBf7KqsTzstVJVfA05pEnmcwYRJzm0w5WYAP2LkqTsO5e+VnBOzTSzEKkYPnEeDUnF0pyMO0sOyWgeFnQPnFP+OH3EoGZ5xMN9cSOavN+P124f6X7xA9tz/ia2TM+5A8sddEEsvb5+ROBMOLg6mC1rPxtFLZJsQm9dCHFkFgs4+yt2QQoXymb/dRsWffozYtkFZn8Cxarr6Nhp+9E/kwOEdHNExxrsr6Lf+DYx69QVwuc8ovJET/dklqBv7csBQGn4zn8Yf/gOCrkp7UMShO8jlckbQjvVDH/rQxGOOOab+Jz/5SdF7PuKII5qrq6vdiy66qMMn+PTTT9/pOI7Yb7/9pn7lK18ZMX36dGXP9Ac/+MH6HTt2mBMmTJg6adKkuscff7y2M8f96Ec/eu+VV16pmjhxYt3Xv/71EXfdddfb7e136623rlm4cGH1xIkT68aNGzf1pptuGryr886ePbtl2rRpzePGjZt21lln7TdjxoxG8B2lE044YcLEiRPrZs+ePem73/3uGoDzzz9/24033jh0ypQpe21x9C+AJ6SUZwgh0kAV8D/Av6SUPxRCXAtcC1wDnAhMKPwcAvwGOEQIMQC4HpiJv0i4QAjxqJRye2GfS4CXgMeBE4C/x9T5faNtIbJqxCG54ujyiINqqkoxv91+A+G8i0idhGRgZDnFWQdmqThaNfVFSkk283Gqs7fhmTFaseK/EGVqAp5wwFVb4SrNcXALj5NZZIibGpQNGdNxZ3kkhZ2aRZoNuNQihXqrxLaOQzLRlNg1DkbrGoeO5Nm2jcSvHwnj7H8EueM/ReYfd4EdIyUIaP7qXb7xGbdDU+BUZSqhqlPf37vEHTmRpmvuTqRdZv74i8gffxGVt11Dat7fY0VogkhI5uEbMde+Tssnv4l95BlKsqp++EnM9W+X9InrOBhmaAVdvcNj0MXKHV0X+3ms+MP3AFms3VBNL2pFEKHJxexiKcQemarUHbiuu9v0qNWrV6eklOK0004rhvN+9rOftQrLvfnmm0uDv5977rk325PT3Nxc7BhQfnzwv5NOOqnhpJNOagDo27ev9/DDD6/enW7z5s17vXzbkCFD3KeeempV+fbycw4bNsz529/+9lb5frs670MPPdSuLosXL15evu24445rWrVq1dL29t9TUP7GEEL0BY4EPgUgpcwDeSHEx4A5hd3uBubiOw4fA34n/W/MFwvRimGFfZ+U0l+yFkI8CZwghJgL9JFSvljY/jvgVPYox6EsVUl1AFw7EQfl9KLydqwxDEfTXY2XOQhZ/RGkHKykU7Grktn6sQpSStzUZOzqG3DcFOTUDT7D24qRXYcpBiClmhMSRFOcyo/7j6UVu/tQErSE7M24NQ5JdJ8C8Ix9cPp93jeYFYvaoW16YJyIAySQqtReV6VOiHIcByFE+/UZVqFWMOb0YnfcdDJ/+gkV9/6A7NlfwZ08S0lOUEsg25lyHZnKGtzxB2G8vQRr0TM4k2fFzt+XhfsVa2hbcI3BwLA4LWebGxDN9TRdczfuyIml1e+oVNbQ8MN/gPSovPt6f5tq6o1j+zUNwkikXiL1n78g8lnsg/xIsmprXbFzCxX3/RBv0HDyR56JM+2DeINGxtavWPQdpx5nL+emm24aeMMNN4z4/ve/v0a1jkyzZxJnqWkssBm4UwgxHVgAXAUMkVKuL+yzARhS+HsEEE50XFvYtrvta9vZ3gYhxKXApQBDhgxh7ty5yheVJK+t7QOUwr2vLl6Ks7H1Po2NjR3qu2JHBTCm+Hjrtu3Mm/c2FRXRCoA9z2Nb/Rj8wJDPK68toXlN9IEn2WyW2fs9hlmxjQVrTmNbYwtSysg6bdoyAqjFrH8IOAnXruetZXOpz48tpml05h4B5HK+IZVOp3Fdl3w+T2VlZWQj3bZtBle/wQEjXyAFPLf0HCoqo3dR2bJlJFDD26s3A9W4nuTll1+msjK6oSClJJfLFQ1J27apqmo99bSz92ldgwFMBOC1JUvx1ueVBt7k83mklJimqXyvAzme55HJZLBtG9d1le4RwGvraoCSYfHCi/N4K1R32tl7FL7frutiGAbpdPTuMK/vyABjaWluwssDVLFk2TLSm/MYu/mybWpqIpfLs27D5lbb+2x4k2GrV2JNmM16+rBt0eLIOoWZtmo5+6x9nbeWLmZztnTPm1tamN9J2fut38AYoHHxixgLn6Nhn7GsOuzcWHrNuv9aqrauYd5Z36Nx8BglGYadAyTWhGMx9puDne6Dq3i/ZjU1UQPszLsMBNa+8w5rFi2OdJ8CDm1uogp4be1mWhqT6U+yf9ZhMLBqxQq25KMXWqda6jkCcNJVrP/DzxmwZglrDzie7SOj174Iz+VD+SxSCDY6BiOBNW++ztqq6Pe+eusaDlnwTxr7j+Dl8R8GMvDuZv8nIn3Xv87kZ25n+/ApvHnkhcgr7gFhwG6ePyk9rFWrI59rb+DKK6/ceuWVV27tbj007z9xPrUs4GDg81LKl4QQv8BPSyoipZRCiOTarewCKeWtwK0AM2fOlHPmzOnqU3aKt+Y1w6LSSsvkuqkcWTewVfrB3Llz6UjfzOo8/LtUQ9CnX38+8IFBDBwYLTXI8zwyCzZDvcQUElcKJtdNY9a+afr0iWYYNzY2YjWsxGMrBxx4KDm3L7ZtR9ap/xtbYbNNVTrIa3eZMmEgVr8PFo3HztwjgObmZswdN2OxgVz1Z2i2B9KvX782eeIdkc/nye7sCy0vADBzxv4MGDS6TdpIR/R7cxtszjNl0gRYZONJwaxZsxgwYEBkA9vzPJqa/JRQIQQtLS0MHBj9tQSw+L0sPLsDgElTpnLI2OjPP/iOWmNjI5lMhpaWFgYMGKDUwSiXy5HdOZ9qXsM2RtEkD2TAwOGR7zfA2gXN8ErpPbf/9BlMG1VKu+jsPZJS0tTUhOu6uK6LZVlK96j6XRv+vZWammqq0gZsd5k0eQofHGOQLnP8wmzcuJnG5kYGDxrUanvlr35LaunTNF/+cyoPPob9ImtUwM5R8cBPSb/ld9EZN3IYow/cv/jv+YsWMzP0eHdkVv0LgH5pE2v1Uvr07Uv/Th5bjrH2DVLPP0xmq7+WNHXUENzJarIqf/NFUgv/RfNnf4ozQ60zWlHWg/5nSJ/BQ+BdGDV4AEMO3D/SfQqouN9/j0ybWoccnMDqOVA5bx9YDeNHDGGMwr03Nqz2f/cdwFivnvTbC6g5/KPYKs9jUIReUc3g0fvBYhjdv5qhCrLMt3zzobJv/8j3uRyLLVRtf4/0yPH0OfjADveXUuJkswwaNSbWeTWa3kYcx2EtsFZK+VLh8YP4jsNGIcQwKeX6QirSpsL/1wGjQsePLGxbRym1Kdg+t7B9ZDv77zG0VxytQttOSGpywl2VqlNZ6vOVsVKVspWfoMp4GyO/BMEEoH9kGcUi3cqT/ceiBtusU35hmu4KhGwklX0CzPPVB3dZE3CqTkV6NhK14UzB81TlPAnM8esmEmxbqko2oVSl8EC6uBOoM858DOclMkA2M5xwpC4KSaUqhVPKgpasKhSLowUErmJnblPezrWdGg2lgua4qQF2jvQz9xcfxmqhGqTxBDnoMWQZm94l8/S9Jb3i5MYHXZWSmLKd8jvxFAt046SJFZ7D9FO/x1z7BrkTP4077fDIYsSOTVTc+wO8/kNChdZqqUre0DHU/3o+ItdM+m+3+rIUuyoFw99kpgpZXXC2VWeOFGoQZKYS490VpP77V7wR47EPPy26rOA5S++R9agaTY9BOSlVSrkBWCOEmFTYdAywDHgUCDojXQj8pfD3o8AFhe5KhwI7CylN/wCOE0L0L3RgOg74R+F/9UKIQwvdlC4IydojaDM5ugcUR+eLjoOf7xvXcDRansVsuAfTfUfJeAyMa9P0v2BcmcIzBikXR7dkzgZAOKsjH99Gt+qTsas+BkLtiyZ42iq85YjCyKIk3Ia4efctIWPakcnOYFDFNv2PEUkKKdQHRrWZnZJQO1ZVdjUArjPF0WY7Q8FEoTOXuepVjPfa1Ph1GlHeMjXOALhMFV7fwaV2mXEGwCXYQjVwaKxFz1B585ew5qmXxzVd/wANN72EN7wQ44nT0apw740ta7HemI+h2AlJtDSSeuVfWMv+47cYtdJt7l8kUmn/OSzUOKg7Dv5xsqIad8QENkyYjTdqUgdH7UJWMDU6XYGxeQ2Zp+7Beu05RVm5kqzVS6n+7llU3HGdkiyNZm8m7lLM54E/FDoqvQVchO+M/EkI8RngHeCswr6PAx8BVgLNhX2RUm4TQnwXCCbPfCcolAauAO4CKvGLoveYwmhIbuJzIMcUvtPgeepDsgJHoTJdBU3xDEchBF66DmlUKRv7wRwHy5CFx/G6KnnWRNyaM/3uPK56y1Lp5RFSgFQ30ovRlPThGELgSrAdT7k4OikDvyUfchzi3KNQxCGufnZqFna/D/k1Di3qnU7KHeGWGG2jgusxDANbsYNRq+JoQ7Tatitc18V1PKyqdtZ1CsZw5u+/RezYRPbT31PSq42BGWP2Qv6Uy8mfcjnG20tIv/hYW6ckCmUti+M4DqJwjcamd7HeXIi3z744s05U1w2Qlr+IkEShNRV+LYJyJ6Ri9Mkie+61ZM/7mrpOIYoF4Fm1tshFh6OiGnfKoSzLVaunGQVdj9KVxa5KyrMXguNSFQjXwXx3RTLRKI1mLyNWGwwp5SIp5Uwp5QFSylOllNullFullMdIKSdIKY8NnADp8zkp5Tgp5f5SyvkhOXdIKccXfu4MbZ8vpZxWOOZK2ROWRiPgJNTBKDguU/iMi9WOtWC1VGcqirJVb2tNw9cwG+/HqzkdmVLLtg6MqGr3xcJjG9N9R92YNWrxqj+CrPyg/1hRTsb+F+ktV5Bp/BVINSPBLVycl56B2UmjcVeUz3GIkxrUYreOOKiS1Nsxybd1eXQuTrthSCDiUHjvRumq5LounvTaL1gPGeWJGK+BrDhRgoAgQhKn41CZ06HajQcoOSFBB50ErtE5cA5NX7yF/NHqxd/5kz9L9rQv4NUWUjtjD4Cz/AmDMTDfWEDVjy4k8+cbkZl4EQdppXD2OwB35IRYOkGpXarMVJZa9CreryC9TKYzpYnYuh3rblm1alXqmGOOGTd69Ohpo0aNmnbRRReNymazXdoS8Nprr40/fbUDrr766uHf/OY3h3S8ZzQee+yx2g996EPj29teW1t74OTJk+smT55cd9hhh01M+twqbNmyxfzhD384OOpxe/T0up5OmxQj5RoH/8B0Ia3Z7USqw64opioZfnsnlQXZolElswiZBdTzrYN7UuG9CoDn5Um7i5TlpXN/x2h8qDhETDVyEWSkm/YSTKk2vKi9VpwxM2cSITzHIU6NC7Q2rOM4AIasB3cryHjGXfmslFwCNzxORCVc4xC8BjqqdXFdF9qZ4VD4Z+nvBNJlAPJHnYk7Ir6RV1y9jVMvUZ6q1NKoLiuovQjqEmLcr+obzqH6G6cgK2tw62bjDR2jLCt/zPnkP3Ixsrqvr5dqvYSXXA2HaNiKtfIVjA1vI2OmKnn7TqH5a78ne+G3IZ+lavt7ypOjZZ8BOJM+gDd8v/izKvJBjUNFqSZEOw67xPM8Tj311PGnnHLKjnfeeWfJ22+/vaSpqcm46qqr2u1umRQ33nhjvCFMPZSZM2c2rlixYtmKFSuW/ec//3mjs8c5TowIbgds3brV/O1vf7tPx3u2RjsOXUi5UR53cnQQcYhj7BWLo00/G8xx1WdCNPb5X+xBPwPZDF6T0jTjwLiWFbMLj1M4xr5K+gCkc//CbHoMw14ea1U+nzkBLzMDzxyJxIyVqpSS72IK32hRvddhYtc4hOw6J8ZMkDBxowZV2btIbfkyVds/R8pdoSyn/D2Xj1kcrdLZKcyuBsDtDn/4G+2eW4RSeeIYwsHKvrvPaLKf+AZu3aHKsjJ//DE1Xz4aa8m/sWcch6NQ6FukoJc960QafvRPsh+/KoasoGg7iDio3y9j07uYG1b77TuTIijSVUy9CZ5DaZpYC56k+punkfnzL9V0CRw2w0IOHIZTNzsRZ9J8ZxmH3vsVKu/4utLxzvQ5NH/5t+SPv6g0AE7RcXDH1JE7+jzc/aaXolCqaU97AX/9619rM5mMd9VVV20FsCyLm2++ec0f//jHQQ0NDcaNN9448Ljjjht3xBFHTBg9evS0z372s8VmNg8//HCfAw88cHJdXd2UE088cb+dO3e2eeO88847qZkzZ06aPHly3YQJE6Y+8cQTNVdcccWIYFr1KaecMhbg17/+9YD9999/yuTJk+vOO++80YEhXVVVddBnPvOZUePHj586e/bsie+9914bD/ree+/te8ABB0yeMmVK3WGHHTZxzZo1xX2WL19eOWvWrEkjR47c/4Ybbigaz7s63/nnn7/vtGnTpowfP37qF7/4xWL3jgcffLDP2LFjp9bV1U158MEH+0W5x7fccsuAiRMn1k2YMGHq5ZdfXnTIqqqqDrrkkktGTpo0qe5f//pXza50evDBB/vU1dVNmTRpUt3s2bMnAjzzzDNVBx544OQpU6bUHXTQQZNfffXVDMD8+fMrAhkTJ06sW7x4ceZLX/rSyDVr1mQmT55cd9lll3W6xZt2HLqQ8tVP9a5KvpwKq5DuouiAhLsqVVn5WDoBINIYLc+S2vJl0rmnY9U4yPR0/zEpbOugyHKCc9vpowCw6m+PLKMcp+/nyPW7HmmqRU6DVKWq7B8xCsXRnlRfPUhqcFw479/x4nVDSmK6spQSKcK959ULPMtfz/kYtaIBQgg8z4vlPBpCdLo42nEcTGG2+1w3/b9baL74h/6DGKlK0rRwR0zAGzJaWUaAaK7H2LkFWd2Xls/+hNxZX1bXq6oWd9g43KFjkQOGQmX0mQQBuVMup+Uz38cLUmbipHYFBc2b3iXz0P+Rev4hNTlSYs37O9aCfyJTQc6+aqpSKeIgci2Y61chtq3f/TG7oOSEWLgTDqb5i7eQ/+glanrZ+WJamEzHvMYQcWW50w4nd+61ONOP2iMnR3vvnjfDe/e8Ga22bbxhvPfueTNk0wt9g22y/rFB3rvnzfC2/LL45pbO5pT37nkzvLWXHdDZ8y1evLhy+vTprQpdBgwY4A0bNiy/bNmyDMCyZcuqHnnkkbeWL1++9NFHH+2/cuXK1Pr1663vf//7w5577rk3li1btvzggw9u/u53v9smLeiOO+4YcMwxx+xcsWLFsuXLly895JBDmn/961+vy2Qy3ooVK5Y9+uijby9cuLDiwQcfHDB//vwVK1asWGYYhrz55psHArS0tBgzZ85sWrly5dIPfvCDDddee22bVnwf/vCHGxctWrRi+fLly84444xt3/nOd4pf5itXrqx49tln33j55ZeX/+QnPxmey+XE7s73s5/9bN2SJUuWr1ixYukLL7xQ+9JLL1U2NzeLK6+8csyjjz66csmSJcs3bdq0yxaM8+fPrwlSla655pqhq1evTn3rW98aMXfu3DeWLVu29JVXXqm+5557+gXXdsghhzS9/vrrywYPHuy0p9N7771nXXnllWMefvjhVa+//vqyRx55ZBXA9OnTsy+//PKK5cuXL7v++uvXffWrXx0J8Mtf/nLwFVdcsXHFihXLXnvtteVjx47N//SnP107atSo3IoVK5bdcssta3elezm6MqgLaa84Ok7EIZyqBNENSSllKVWpwv+cUS2OLp7bqEIa/ZQ74QTXYhmtHytHCiqOIyVXgqgsGnxxiLO6X1xZtkZiBtfnqaV1lefcq0R3AlpNjo4fbEjGmam6GDIC27GxW9SdqzapSjEiDp7nxYpaQXm6WvDc7f6YvO1gmLu4p1W1vkEN8TohDR5J07ceQtRvxXh7MbKmv/pMgSBlJoHVeGfWibELmAPcutm4gPXyE0DMmpDAcdixicwTd+DUzcY+4vTocjyXqtuuQQqD5v93M/YHTsDdt05JJVlZg1N3GO7I8chMTAM9wbSn9FP3UPHwL8id+Bns2X6bbeWV/WyT/4bJVPrF1vuMRvaPnFnRjpKh++V5EDOyuLdy+OGH1w8cONAFGD9+fHbVqlWZbdu2matWraqYNWvWZADbtsWMGTPa5BweeuihTZdddtkY27aNM844Y/thhx3W5kXyxBNP1C5ZsqRq+vTpUwCy2ayxzz77OOBHZC+++OJtAJ/+9Ke3fvzjH29TW/D222+nTz311JGbN29O5fN5Y9SoUcW8wOOOO25HZWWlrKysdAYMGGCvXbvW2t357r777gF33XXXIMdxxObNm1Ovvvpqheu6jBw5Mrf//vvnAM4///ytt99+e7s1AzNnzmx85plnVgaPf//73/c79NBDG4YPH+4AnH322dueffbZmk9+8pM7TNPkU5/61Pbd3YO5c+dWz5o1q2Hy5Ml5gCFDhrgA27ZtM88+++yxq1evrhBCSNu2BcDs2bObfvKTnwxbu3Zt+pxzztke6KyCdhy6kDbzFxTtj8AYylgCkMoOiOv5+dWGgFTlOCCv3o5V2lQ03YEwq3AG/xzHtkGhG05g12fkO8Bwv6uSbAYUW3KKCtwB/+P/3diobPSlsv/Eyr6OU3kc0ObzqFMEz7ddfT6G4U+x9RTTnpIkbEzbrlTu0JX4dRgVIEwQLcqy27RAVnQcAuI6RUENj0B2OlXJcezdDi2Ulv/eiJOqFJCa9zgVf/wxuWPOJ3fONUoyRNFxEIhNaxCeG6sGAMB4ZxmZv96MN2oSuY99LpYs2XcwzuRZuCPU3sdAm3oJEqhLcOsOpSVGipi372Sav3gzANbi54EYHYfC80E8z5+f4TrIfpHrJktzHFKZUpRA8X5VPPBT0s89SMv512HPOYum7/1VSQ6A8d4qRHMD3tAxyJp+5I86E2ml/OdkD3AcjH3vXdBm25DrVpZvE31O2iL6nNSqME9Yg23RzvG7Y9q0aS2PPPJIq+FM27ZtM9avX5+uq6vLvfTSS1XpdLr4aWaaprRtW0gpOfzww+v/+te/vh0+9umnn66+4oorRgN84xvfWHf++efvfO65515/6KGH+n76058ee+WVV24sn0QtpRRnnnnm1l/96lcdzvBq77P6yiuv3Peqq67acP755+987LHHar/zne8UoxKZTCasO47jiF2db8WKFembbrppyIIFC5YPHjzYPf3008dks9kue9Gk02kv+A7YlU733ntv3/aOveaaa0YcddRRDU8++eSq119/PX300UdPAvjsZz+77Ygjjmj685//3Pekk06a8Mtf/vKdSZMmKb0xe/67ZQ+mvDhatcahlKrkP1Z1QIJoQ9r0SMnNvmxPRl5VlVKCzGPZCxG5hWrKFAiupY/9AACe51CVf0jNcJQS03kTkV/VuSlbu8GUGzDsFaTrb8R03lSLOIQ66gQRB9WuStB+1EGFcFclVSc0IIkuT+HoSVxDve0cB3VZSdzvIBXPNESoOHr3kbB8Po+xi5Xfijuuo+Khn9N09W00X/F/kfUpR5p+ZD3eALjCtdg5ar/+UapvOCe2XqJxB6lX52KuelVZRurffyb95D14w8fR/KXbyZ/8WTVBnoeQEilEaaVaNXqR1AC/MuJ2HAq3dhU7NlF79VFUf0+xc1TwWrLSsesSil2PgpqEGGQe/TXVP7oAc7k/szb7iW+QO+faUjcwTStOOeWUhmw2a9x0000DwU+hvOKKK0adeeaZW2pra3f5ATZnzpym+fPn1yxZsiQDUF9fb7z22muZo48+uikoDj7//PN3vvHGG+mRI0faX/rSl7ZccMEFmxcuXFgFYFmWzOVyAuCEE06of+yxx/qvW7fOAti4caP5xhtvpMGvzbvzzjv7A9x1110DZ82a1VCuS0NDg7nvvvvawT4dXfOuzrd9+3azsrLSGzBggLtmzRpr7ty5fQEOPPDA7Lp169JLly7NANx///0DOnt/jzjiiKaXXnqpdv369ZbjODzwwAMD5syZ0yYysyud5syZ0zRv3rzaFStWpIPthfttjhw5Mg9wyy23DArkLFu2LD1lypTcddddt+n444/fsWjRosq+ffu6TU1Nkf0A7Th0IUlNji6mKhVqHFxF6zNoxZo2cmScxb5sV9FwFGmy1Zfi9vlUq82qxdFYIwuPBRK1gWtSulQ1/Qxz+/eL7QlVUpWklOTSH0YWukUJVHv4+xdnmQKjIMPz1CfOJlfjEIo4eF3aWa/TVDXfRGrjRaR3/gjLVR9s1sZxiFEPlMS9bq+z1u7evp7n4ToeKat9w9J6Yz7W6y/jDRpRSllSwFz5CrWfPZjKe7/vb4jTqtQrK0KO4YSkH7uV2stnkvnHnQW91KMq6SfuoOJPP0Y0bleWAZSiBIaJTGXi6RWeZm3nEJveRWzudGpxa+wcomE75JpLK/uKOfvekNHkD/ko7pj9W6fxqBByQuLWcYTbsRaRUm1hqNhVSU+O7gyGYfDII4+sfPjhh/uPHj162tixY6dlMhnvxhtv3O3q//Dhw51bbrll9TnnnLPfxIkT62bOnDl58eLFFeX7/eMf/6idMmXK1ClTptQ99NBDA7761a9uBDj//PM3T5kype6UU04ZO2PGjOx111237phjjpk4ceLEuqOPPnrimjVrUgCVlZXevHnzqidMmDD1ueeeq/3BD37QpsDn61//+nvnnnvuuKlTp04ZOHBghzmwuzrf7NmzW6ZNm9Y8bty4aWedddZ+QepVVVWV/OUvf/nOSSedNL6urm7KoEGDOp1nO3r0aPv6669fd9RRR02cMmXK1OnTpzd94hOf2NFZnYYPH+7ceOONq0877bTxkyZNqjvttNP2A7jmmms2fOtb3xo5ZcqUunBHpt///vcDJk6cOHXy5Ml1y5cvr7zsssu2Dh061J0xY0bjhAkTpkYpjtapSl1IW8dBLS/dKS+OVlwgzhUMxpRpkDJ95ZRz3EUKNz0DS76JtfV6sCbTIj4aWUxgXDtVZwMOHiYtFWdHfmH699XDNcdhuquwNl6GqP4BoLaa5BlDcQb9FM+zsZvVVtODaEpVw/cx+TTQFzy19pJJrcgDhEsIyqNiKsSNgEgpMT3/M990VmKmtnZwxK5Jalp7OaoRlV05DruS5TgOnvR2naoUMspi4TqtZyYk4DgEBplwbN+wU3itCtdGOPlSOlaMuoRiChUCmut9narbje53SO64C/3rSRVSKBVTb4LIjjQszHeWUf2jC3HGTaf52nsiy7JefZaqW76MPePD5E65wt+oWjhcNxu3bnZrGarGfqjQuviayGeVXhOlydG+41Bz7QmIbRto/OkzyNr+uzt0N7J8G9ZY/xaicQfuqEnFadma1owfP95++umn26RDAXzhC1/YChQ/rMP5+6ecckrDKaecsnx3sj//+c9v/fznP9/mw/43v/nNOqDonFxyySXbL7nkkna9/9tvv30tsEvP+xOf+MSO9ozxn/3sZ++FH7/55ptLOzrfQw89tLq9c5xxxhn1Z5xxxtL2/hdw0kknNZx00kltIiKXXXbZtssuu2xb+fbm5uZXwo93pdNZZ51Vf9ZZZy0Lbzv22GObVq9evSR4fOONN74H8P3vf3/D97///TZj6stTyjqDdhy6kHIjRj3iUIgUBMXRinICIyplVWCZ/heg4zqovAyklKzd6fHJPw3kmgP7cVrdJqVXU3AtQS1oYE+pRUFSZPt8laod/w8hWxBCrRNOEbMvCA+EmrFfbMVJHkP4F+qQSaQ2IE5qUDYccXBLqUJJOCWqNFddRaXxFq5n4bijlK+tOGXd8F9buZipSnEnYwdOf2cjDq7rIpGYu0plKRjDlXdehzdohN8rX4XyeQkxpj3bHzgBb+REvGH7IU3Ll+U6aikggR5BLUECsyqM91ZS842rcfedTNM3/hRdjpUid+aXABBbfHsmfqqSFYoSqK7sF5w9w0TW9if/oXPxkigcTgUOYF6tcDjs3BomC0/9OpMmT1bTpTg5urBg7bkI6ak5NYGzV4iCVN5xHebqJTR97fe4+3W62ZBGs9ejHYcuJDBiKizIOvG7KpVPjo4qK4gupE0wa+YAWWzPUjMcvSb+u2oNC9fvywMDzuOkD4DIRzdmi8a1KfBLv/2fODiDfgLCRLS46sXR9kKMpma89EEIURmrxiHX52sYln9lHrWxHYfYNQ6tIg5xhuQlNwDOM4fgVY7BdRw8hSL7gMBZr0pBQ84vjlYt/E4yVamzcxxs20YIsev5EQWjzFoxD1lVq+w4tKlpiBFxcGadSPElZVq+jq4dy3GIXYQMbec42AlMx05X4A0cjtdP0UAPdy+Kmf8vguszLWTtALLnfU1NJ0DUb0U07UTWDkDW9EOmK/wogZ0tOXGdpSwqtmNEHe64/dX0KjiOQYpYuCVr1E+bIF0qkKGnR+/ZlK/Ka94/tOPQhQSRgsBxiFvjkCksyysXRxc+z1OGJGX4XzqqOeCG3I5s+Q+wLy7VYFVCvlnZcejb/H0M8WVcKUg1P4BXc3ZknYrnNgpfdELtC0FKScb5N2buDQzzGbLWeUg5LbKc4HkyjDSGyAMy1uTopLoYhWsc4k6ODojbtjQsB9SvNbieqpSgIScTmeMQ6BN3joMIpyrtYn/XdRHC2KXTUkq/Id5cAq/sxsRJVQpjpXxD2HFQKlUKHIeKQp/9WClUhQ+8imBytKITYucxV74C6QrccdNp/OETyirJ/kOp/8ULICUi53cfEnb8WoK4pJ+5n8xjt5A9+XLyp1xedBxEPldy4jqJffhpuOMPwh0ffR5PG8qvsVgErvDZXlbjUJoe3byrIzQaTTtox6ELKe+GFDtVKaacIFUpwwYyubeAw5RkSSmRVJAzxsfSB0qF3oawMYRvbAu3TRpepxDeVqrqbwBrMM7AbyOEwHXVLEfbOgjLfQPhbsQ0NwLRHYegfsMwwCykKnmeWkpIkqlErVKVEnIcIJ5jk8k+gpndiEzPxPCGAGq56GHHAWQiNQ5xnJni69sozXHYfcTBwTB28zy3qkvIK9cSBKvxzqQPkD3ry8iqPtFlFDBXvoJo2om733SkmULgRzRU7nzgGMmqvtjTDkf2HdTBEbuR1SbioOZoicbtVP/sEry+g2n8yb+U9QH8F0JVrf934LwlNHvBXPUq5FtwJ82Kl14ExXQllYhPudOw78K/UrH0UXInXRb5+cyecTWicQfeIL+LZpwhcOX1EuiIg0ajhHYcupCgFWRFMH9Bcdia00qOn/KkssJbSlXySOPX47j2RiB6r25pDqLZPAzI4+Y3YLasAg6LLCcwopqqvoZp+Do2Z86JvFjpt4h1ELSA8y7mjt9gZE7DkdEnz0opyaePJFW5Lzjrcd3RmArdmYJrq2z5E6Z3KLAPwn0PUDeGAuIMt8u2muPg/47TeSi2QyM9Mvl/ApDOv4ptfQwpJyqJCpz16qCG1VWPhCQxAK4YdRJgCP+B3M0UatuxSe1mhoMzfQ7YOVKLnkFIGbuWQNb0w9t3SvTjQ2T+fCPWGwto+vJvafnsTwGJrKxVExbo1WcgLVf9OpZeMl3hO1eBgagavUhwOFqYuDMOisa+4dfDVP3sEkQ+S/1NL8ZIL/JltVxwPcLzkIrF5GGGvvEC6a1ryB95RmTHwZ1a9p0SI72r6at3IXLNyD5+V87i9GjV2RcazV6Kdhy6kGKqUip4rFrjUIgUFJ6tYCU7qqxgGJaZHoWZ8Qv07RjFh4HR6dibMbNzkenZyqlKhpHCEP6Xl2PsQ0qljaoxmKa+P6eq4dsYuXmI9HFAjdJqvRACmamDTB2e4iC5oPA77S7CFLMK2+Kn9MSf41D6O6lUJVWCa8hmPkbGmYdn7Ysr94mfqpT275HqHIfy14x6V6XCe06A6W0EBpByXgRmtru/Y9sYu3EcWi79XwCsz83yV10dtVoCb9/JtJz7NfVp0a2EBVPuDNyJM2KJsj9wAt6w/XDHHxhbrcYfP+X/0ew3M1EemFdsoeob1TVfORbR0kDDz56NLMrY+A4V93wHb+gYsud93ddLcXqx8ELdiyCUXpSNnF5Uchz815I77fBox4ewFj2D2L4RZ/8jkING4AYdslQjKyGKxr5ClEAOHtk6CpZWl6XR7M1ox6ELCYyWyuLE53jGUCYUcVAhcBzSJliVfpeLvPB7wUc1iqRnYxcKLG0xBLfiWFBwjMIrsoGdJotl0hERBogq3D4XgpdFigGgeK+EtxmcCjA7Pc+lDcHT7VSfjUj5xZR5Y2SstqXJz3FQk5FocbQwsCtOwKw4Fc/zsBsbUR33FDjZVQVbWrWGp5V6sQbA+b8NAYbXAAxAejva39fzcByX6oo2Lc/bYqUhn/VblxLRSMTv2+8NGY3Yup6Ku69H9ttHfUJzaM5BXNzJs3An+062qN8Kdh45cFg8oUELVUXHoWigF65P5Jp9Y1NFXnM91usv42abwTBouvrWYpefqNgHHIXXfyje4FH+hmA1PtcCEQM+xRSxBKIqqWcfILXk3zR//iacQSPwCo6DSpQg9a97EU6O/FFnQ0UV9uGn4Uw5FHekWkQyjC6O7phVq1alLr300n1XrlxZ6Xkexx577M7f/OY3a2+99dYB8+fPr/7d7373bnfrGKaqquogXTTd9WjHoQspRRx8w8NRtF9KxdH+b9W07XBXpZRVCzRjeylUrGvTWQZNq4ATsMVgvKox0Bi9bWmwIluV/zOGOAkQmLkXkOahkWVJKTEMA5k+0N+QzwNqxkJV802YjZtxa8/F8CYg5YjIMop+YuYgTCMHuMozOJIqjAa/UD9ANe2tqwhSn1TTsAJnvboQccirDjhMCK9YwyMQ6QlAnmzqBJBt02Y8z8P1vN20YvUQ29aDYeJMnOGnXcR0JEVLA+l//xl3xARlx0EUR6QbpJ/6PWLrevLHXYDsPySWbjVfPgYhPepvXhgvTchK03zp//rOlgpBxMEorOxbab+OQ6FmotQJyX+O3SnRP+cC5D774uyzb+lx0EbVzkVfdilLe7Jeehxzw9vYh3wUb+iYSKJazXEAXCs0yyEimb/dgtGwHXv2KciKKj9VTwU7T+Wd1yEra8h+8psA5I8+F/uQjyBVO2T1cjzP49RTTx1/8cUXb7rqqqtWOY7DeeedN/qqq64aMXXq1MS9Ldu2SaX0FO89AT05ugtp00bVUzOISqlKpYiDSpeXYnG09zZpZ1Er2VHwzyvIy4yyjIDgdlR4yzAKX3dW7t9KOgl3A+nGOzCaHmu1PXI0RUqk8IcLmQ33kXLUFjBKhd+hVpwxUoNMbyNG878Q+WVFPVVoVeNQ0CeJVXllGdLGdFYi7LfAawGpnj4XvBYrU8mnKqm8d4PoYKvXAGa798q2beTuhr/ls9R+7URqvnEKLZ/7Bc1X36Y80MxY/xapFx7BfKcwoynGtGdCq9WpFx8j89Q9iJ1blESZy18i9Z+/ILa+Fxq2pvB68Dyqv34S1d88FYTA+cAJOAcdraRTqcah4NDFKBxOshNSG1Lq+f+tJloDqZceJ/PYLRgb3laQ1foa40Qcyp0QZewcqZefIDXv78VNsv8QvJETkTX94snupfz1r3+tzWQy3lVXXbUVwLIsbr755jV//OMfBzU3Nxvr1q1LzZo1a9Lo0aOnfelLXxoGUF9fb8yZM2f8pEmT6iZMmDD1tttu6w/w/PPPV33gAx+YNHXq1CmHH374hHfeeScFMGvWrEmf/vSnR02bNm3KtddeO2z48OH7Bw1N6uvrjaFDhx6Qy+XE0qVLM0ccccSEqVOnTpkxY8akV155pQJgxYoV6QMPPHDyxIkT677whS8M75YbtReiIw5dSDD8qWjExJzjEHRVUo44FL4bLNFAytsATMTJb0SIIdFTjFL705KqA/K4bg5hb0CIYcqpSrnMqcWuM9nUBxWSL8CQO7HyLyLzAmkMxDDGIaVaGkBT1VVUiwUY2ZeRYlCsNJWUvRDTGwwMxHDfBg5U0sn03sZq/gNexQfB3LfjA3ZBuMahfEhhFBJbyXd3UNX0U2jyH1amPoznnaUkKniNV6XiRRzCxySRqmQaIIJpB+4OpGy7+u26LuxuhoOXnNFprphH5b3fxykUn8Zre1q46cJAFuotVOWln76P1KKnab78Z/HSsTwXc9O7iaTelKdiyVSMqdZlz2H6H3dhbF1P7qOXRC4cNl9/GXPlItxJM3HHH4TMqBdb50/8NPZhJ+PtM9rfEKQ9JeAcFWscVNrOuq3vvbH2Dcx3luGOnIg3uq7TYhJzQLoJ8eUN8YqHdoH8ydAFu/rf4sWLK6dPn96qV+2AAQO8YcOG5R3HEa+99lr14sWLl9bU1HgHHXRQ3cc+9rGdb731Vnro0KH23LlzVwJs3brVzOVy4gtf+MK+f/vb31YOHz7cue222/p/+ctfHvHAAw+sBsjn82LJkiXLARYtWlT1+OOP15588skNf/zjH/seddRROzOZjLz44otH33rrre/sv//+uaeffrr68ssv3/fFF19844orrtj34osv3nzllVdu/cEPfhC9y4tGCR1x6EJKXZX836q1CUFXpeIcB8VV4uA4KzMeq2IcAJ6zTUkWlCIYbn49qR0/BIXV/cCwclNTi45DPn1EZF0APGMo+ZqLALDqb0U4a5TkBKvNsvII3P5XY6fUPrOD+13Z8nvMglXseVn1wl8G41YejZeuS2xytKMYvUoUYeKa/utRigrASKA42v+dc9WvLckBcIYAK/c8AKa9sN197cKAsl3OcAgN/CKfhaZ65U5BRUMqHbPjEIQMa6NYXKscwQgZ1jLBlf3UM/eTfuwWyEbv2e8NH0fD9x7znRkoRRxUahyKKUEFvV78G+ln7lOK0FhL/0PFI7/EfH1+a70U7pc3ZDTuxJnIfr7tJdNBelF0WaLs3mdrB+EOH1eqKYhCmSxr0TNU3vVNUgsjtsVtJ9JjvL2EijuuI/3U76PrpeHwww+vHzp0qFtTUyM/+tGPbp87d27NwQcf3PL888/3ufzyy0c88cQTNQMHDnRfe+21zJtvvll59NFHT5w8eXLdj3/842HvvfdeMSfp3HPP3Rb8feaZZ26/7777+gP86U9/GnDOOeds37lzp/HKK6/UnHnmmeMmT55cd8UVV4zetGlTCmDhwoU1l1xyyTaAyy67bOv7fQ/2VvZM93sPoTQArlDjEHuOQ6kPvIoxFKwum1YNVmYMADnU8jullMU0F1tWIq39UKmVCC7DFP6qLPjXFxjGUYw3T/TBTR+GSRPCeRdp9IUEctzVO+oUfqcPwrD8FoC2MVa9OFpUYORf94trU9OVZEDrydGq7VjLi6NV75GUEmn0J9vnq6TTvrWfbWwkHdNxqI6ZqtQeSp21glkewium4jliYPv7ui7W7gqMQ3no1T/+NObqJTT+zx/wxipM5Q3SiwJjLkaqUvOX7wDXRtb0L3V4iunQYJjxZJVFCTKP346xYxP2YR9DVkSMXqQyyFAtAcWIQw6I2K2tbOW7GCVQSi8qa6F64bcRroMXs7YECLU9VUhlL7vGtw85k4EHfkdNjzYD4BTTsdpzHLZvIP3fR7FbGuDYT6jp9z6xu8hAVzFt2rSWRx55pH9427Zt24z169enLcuS5d/NQggOOOCA3MKFC5c99NBDfb/xjW+MeOqpp+rPOuusHePHj29ZtGjRivbOU1tbWzQczj333B3f/e53R2zcuNFcsmRJ1cknn1xfX19v1NbWOitWrFjW3vGGYfSMAr29CB1x6EICIybsOMRJVUoZoTxphbdKIMc0IGVVA2CLgUorzmZ+AW7Lq75cYx+cAV8HEb2rSrFlqbekNMfKeS+yHChFCrzqE3H7XgapMUpyAKobv4215X9A2n6PpziOQ58LEaY/YMuRav2CpJSFwVrrEO5GZUPdcWUrBzbJdqxJRS3iRFPa1Dgotr9t7z0RpyWvIQyo9LsF2Vb7Tl/etjHM3Xwkh+YJFFOCVKdHBykgwSwBR20wIYCs7e8XmFoppBkvVSlcLxEu9lWVU+z0FLOzUpj8h84le+aXlAx0r+9g7JnH404oDEgLogQqjkPxGgtOyKAReENGl4zrCKSee5DMH/8XY92bvqxUjBkTQvgdqOKmBXkeQgZvoEKamOoAuHYch5IsxTkavZxTTjmlIZvNGjfddNNAAMdxuOKKK0adeeaZW6qqqrx///vffTZu3Gg2NjaKxx9/vN9RRx3VuHr16lRtba13xRVXbLv66qs3LFq0qOqAAw7Ibtu2zXrqqaeqAXK5nJg/f367L9K+fft6BxxwQNNll1227zHHHLPTsiwGDBjgjRw5Mn/HHXf0B79o+7///W8lwMEHH9x42223DQC47bbb2l+R0SSOdhy6kGCFv7LQ4cVVjBQExpBlllblVYbJBXJS3nuk5IaCjv7/osoy5A5sp7Eg19+mUkAadFWqtv9WHJCVbrxNaQVceFsxc/P9IltKOkW+51JiehsR7npSmy4lk3sw2vEFgtVm0xCdmhrcEZuaa/jo4zfw982KbTOBlrL+q3Edh1TLo1hbriXlzI8nKCGCtL5SV6Vk0rBU05ZKNQ4Cw6wtbBPFbkthbNvG2l1XkfBqfNEQVjTQg1XhTBXu6Km4+05Wk1NOYJipRjDCBp6lbuyXVvYLBqelXpdgrH2Dylu/SvpvtwFgzz6Z/HEXKnWN8sZMpeWyH5M/8TO+XsUhcN1YOIyfApR56vcYWwqLNnEGrX3jjzTc8gpeecvUqO9Dz0VW9cGr7lvq1a0YCRGF12OrexUUk6vUXuwFGIbBI488svLhhx/uP3r06Gljx46dlslkvBtvvHEdwAEHHNB0yimnjJs6derUk08+efuRRx7ZvGDBgsoDDzxwyuTJk+u+973vDf/mN7+5vqKiQt5///2rrr322pGTJk2qmzp1at2zzz67y8msZ5111va//OUvA8IpTPfdd99bd95556Cg6Pqhhx7qB/DrX//63VtvvXWfiRMn1q1bt063ZHqf0KlKXUgp4tD6saocyxBYhm/sqzghQR1synubtFcBHIDjNEPErvlSSmzrYHJmST/VAtLiqnyqrhhNcYyhkWQEWO5KUk2/w8vMwu3zKQTqRa0NNd+iyn0Ws+UZBK5SR51ifrtswaIRqChMjo7eg1xKyX9WreSJlftTm9rE4aP7KV1XS5k9Z7syVppROvs3ACqyj9CY+kBkGQDCfpPKpl+DzCFT48mIydjG8UqyAue4ugsGwKlQqnEQRdunPefR8zxcx9ltO8KSoZgKGcJqq6XBbAIqqmi67j4lGQEVd1yHaNpB9sJvI/sPwR0yurSSHpVQMWz27K8g7BzeIIUhdWWr8bGckB2bSb38BKKpnvxHL4muy+5IpBOS/0Gc+s9fsJa8QP6wUyIPcGuTQlXdF6/v4JKDGoMRi/9J7S2fIn/UWeTOuabzB1opGn7RusNeUJMTNeIgrTTOxBl4/UvfLaU6Du047Irx48fbTz/99Mry7V/4whe2fuELX2hTU3D66afXn3766W1Sig477LCW+fPnv16+fd68eW22XXTRRdsvuuiiVqlZkydPzj///PNvlu87efLkfDgF6sYbb1RLV9BEQjsOXUhSg9uCyIVl+LUAoNbWM1iNNVMjsCz/gZN/DyHGR1/hN/qRly7g4No7sTZ9HaPiamBU52VIiSv9C8plTi5Ojm6uuoy+0laoceiPm56BmZuHsXkeVJ8PHBLhqgoIgTT2wav6BF7t+eSyeaQb3QINDMTqHV/EcD8HjEF4G/G88dF1AnKFTjz+7A01wsPffFn+b9VVebviI6Syj+NaE5VnLwhpI6RftCrs1zFT/VHNuA+uJyiOznso61WOkvMYRAvlZrDXAlOxcnORckbZfh6O6+3WcfD670PT/7sZrDTpf/3B3xhzGrI0ElitXv4ixo5NZB2b7HlfiyVLhIqj3QkHK8uR6Qpyx10AhQnKcTohlYaj+Qa6+dZriM1rcPdTqDNqbkA0bofKWj/FSzX1Btp0aDLeXUHq5Sdwx+4fffJzWSpP/rgLyB93QXSd2kEKA+HYyk5uK4LJ0REjDnLwSJq/cmfrjcXohU5V0miioB2HLqRUHB08jlfjYBl+ygNIpZasgT5mZixWhQRsbFn4YlXqqlTST8gmwFGOOIT73EsU8/fNCTg1B0DTnzBanoWCnCiyWhX9Cj8vTBhGaXUvAoGjKIwMphnUlAxVXt3PiqmAg+PmEYCrYMhmy6YQxlmRB3Aqj4eao8nmDeUp3a41kcY+PyWTakF4DeTtCmVjP3COq0LF0d2ZqlScjO5tRnibgKl4Xtt6Asfx3zu7HP4GkKnCLbRP5dk/FQ5UcxxyH/scuZM/6z/wPN9wtFKllJAolOWhx6Hpmt+VdIlDVR9yZ3659DhGxKG8XiL1zP2kX3yMlk9/DyrHRBKVWvAklb/7FvkPnkr2U99BDhyGO2y/UnerCMh0JV5132I9Qpz0ovJC6zhU/fgiRHMDzVffiqwdgGfFqOMoQyZo7JfqOHTEQaOJgnYcupDAKAsKNVUdh+L8hXDEQUavJygVRwtSVgawyYthkfUBMO0VOPl+QH8carEH/xLZrN6O1ZA5zEJxtUodQPi8Xu05/o/nQWOjQo1DC5mWv2A4ffFqTomuTKBH4bT2wP9DWi2Ai43a/YbSarpjbwNGErWjC0Bzvm2NQ5xJzRhVYFoII4dUyGuXUoIwEUYNWAP8vkMyh7TVYg524abHnePQHir3qBgtTA3GFf7HbS79IaB1W1DHcUCwe8chRDFVSbXGwTD8H6D287MR2Sbqf/ECVNVGl1VML0qgZM60Sq03X/4H5ro3sT9wAt4ItShdgKzui1fTv+Md26PcqC4OpstFzfJsVeAOBQdOcWJ37txryZ17bfFxrGLy4jXGTxM33luF0bijJDp4rUZ0HMTOLVT/4BN4/YfQfM3dvqzxB1H/6/nRHUvX8QcJWqnSsZXVOGP3R/bvsZOjPc/zhO4apOkOPM8T7GI5UDsOXUh5VyX1wW2FomFThIqjVfQpGDE0kQrqCRQNR8tdgmNPAvrjeAKMGhBNkWRIKYvGdb/8LzHEFwFJauf/QmX0L1OBC9IGmSpGC4LzRJLjtZDOPw15EM5qUmIMjnVMpNSpVo6M5yGkbzDEKY4OXk+OMVy5LiGocciYkHNLrwlV49pseRKDnQjzCKBv5PSypCmf46AScShvNRv8HcvpT++DZw4BsniYCNG6jsK2/e5du7t3Yut7pJ99AG/QCOyjzsTZ/wjcMVMj61SOtFKFjl02Kq8CEVqRzzz8C9JP30v2tKuwjzkvll6pBf8kteBJ3BETojsO2WbM1UuQlTV4o+toueLn6oq0qZcI5iXEmeMQf2W/DelAr/iF1tbi56m4+3qcutlkP/29WLKUJ0fbOYyt77UuqjYtULh15hvzqf7ZpTiTPkDzl3/r61c7gOb/+UN0Ye8fSzZv3lw3ePDgndp50LyfeJ4nNm/e3BdY0t7/tePQhRRTlYJ25Ko1DkE7VrMUcVAqjg5an+b/TdobB4wqOiVR03lcaxJ5/EmnwXVGNa5a7SoqSlkSXiPgRr6+TP5fZBofxa36CF7tmUo6gT8vIVtxBmlvGUbuFcyUQJpq9zpIv/KnBlt4XgPRlykLTlZuCTAZR2ZAWKBQCRDUONRmINccb86B53mkmh9AIEmnm8inzlaSYzhvksq/gJEbCEYNluyPzVQlJyR4j9XYzwEHF9Pp4qLqDAXvr5RR0q0959F1XcwOjElj2wYyf/8tzviD/BXYceqzPNJ/vwNr0dPkj7+otMqs2tq1kKokDRNcB5FrQThqqSSVv7kasXMLLZf+b6wVdGPzGqp/ejHuiAk0feshJV0CRJmxX6yXULjGXXZCklItTSwsIki9UUjj8QYN9z8QglQgKTF2bkE0bI+uSFm9hKcacWinhaoyCUZU3i8cx7l4w4YNt2/YsGEaugOm5v3FA5Y4jnNxe//UjkMXEuRbV4aKo9XSHfzfqVA71ljF0WYlluUbr05+I8jBQLQuKI61PzkcwMXxXMydt2OaR+GJzndAcYOaCwENFVdiCF/B5povAyof8AKJhZFbiLBXITKzgOidfqSoxKk4FtM6DM9+C9urjZy/X2zDKTwqG35KhpOAUVj2EqT8UGSdAFzXLwh0VKvsKbVjrckItjSXhvip4qUPwswvxPA24nmekrFvuBtJ5V9E2jUI2YhMHQBptZX04L1S4zxJ4DgkORU76vUFjktabCXveUAfjPxrSDmm9X6Os/sZDpDoarWxeQ3WW69hN24vpW64bWsvOkVSQ9sA851l/ipzuM4hTl1CAjn7Xu0AnEkfwB2+n78hWEFXcbS81mlPqbl/ouJPPyZ/5Onkzrl2Nwe2peLOb2C9/jItF3wLt+7QWJOjWy5vHZEptYmNn/ZUTFWKGglpz8lqrqfqxishlab5S7d3WtQuHTbH9iMhlTWxHbekmTFjxiZAPVdWo+kitOPQhbTXjjXOxOeUITASKI42qo/CqkgD9diegUpRM/g98n25YGRfwKjcH0cM7/TxxcJR0fq3NPsijBye53U65xsgm/4wRr+PYTb/A7Pxj0hrNIgYhqPZH2nOwMvnkblcJKOxVPTtYbpvIgqpUzY16sXRxjRfhmeAbEGIVGRDNlv4Tq9N+6+juJOjnZozwa7DlgORjtp9dswJ5Ko/hWlIhLsBlyHFovaoTkjgjFZWjgDUi6OTSrkK3rsVuafJ5jLA8eBsAMa03i+X2/0MB2iVH2+uehXzjQW44w7AnTgzumIhY7+0gp5XSlVy9j/CL1YN1Sco116EV5lT6ilB5avVmT/fSOrFx8id9gXsQ0+KptLUw2gOitKJWUvglK18GwbCzil1VTLqt2Bsfa84o8DrPwRn4kx/CFxcgmuMOjlayjb3vqXPPmTP/ipe1FqC9iIOwsBatQiZiTj9exfRi9r/dwQi10z9L/8LFdXRZGo0eynacegipCxN6K1IxWvHWly1DKcqKTgh4e5MqYKVnmdg0QCNgvC24jhVgIHjGTh9PoNkX2QEj6Y0HMv/bYSuLSphQ8+r+AAyNQbP6I/IRqvfkFKCbMF03gGjH6T2VUp3CgxYQ5g0V38RTL9/uG0eEElOGNurAFxcexOml8aWnW99GxBOVQJ/knScSc2Y++ClhiIdB+E2qxnp5j645jCMVAoJuLaNbIlosBQotkAe/DlgZ/enKgXvuVQ/hON/3NrW/q32cRyHXN6mb+XuU9hEqEjXXP4SFX+5idxHLlFzHMKdguKsoAMtn/1p8e9gcrRy9KLVdOySQ6MqJ2g3K5obMLZtgOYGNb3CxJlCXVYcXZzcnVOf4xCsorvTPkjztA9Gl9MOstD2NHL3omBl3zCLK/h2VV/yh30iuhLtGfvhqEqU9K5dOA4ynUHkmhH5LFI7DhpNp9COQxdSmuPQ+nFUSqlKAlPkAQvHs5Ey2nCeYjtWw0978rcJpRBtRfYhbPsEYAieFLiZDyLtfKSJscVVeWwq849hiJP9x02PQe1spOwTWS8AzIFIc2Ch51Bj5MMNdx2VjT9HmoNxq0/C9CqBSZFkhCcGu9ZEDOEbwm6MtJnACPVb6KqlvAaOQ02m1OlLFSklIr8UYaQRxn7FIvsoUaL2CpHD26MSvFdKk6P9+oEo7EonNX0K77na40FIIItjDEPKnUVnN5/P40mPdLqD93M43SIVI42HstSNOAZ6OcW0p5gRh/B0bKUi5NapSrGcEDvn65DKQCpN/kPnkD/yDP/xkhUdHx8WdehJuOMPxBvoR2aL7UXjpAQlkLpW87UTEfVbabzhr/5E7GLEIbpDk4tZFB/QbnqRlUKalv+/CG17d1kvEWcAn0azl6Idhy7CH27m/50xS0ZasLobLU866KoEKbkVGILpvA5EG5BULI7O/oOUPAxIYbuKBcRGX/JuqS4iMECjXF+Qq28IF9PbUIw8iNwrCHlgZJ3S+aexssvwqo9DZg4s6RrZCM3gWpMwaMaqvxNhjYNUNMcheO6F8O9JEE2J01XJs9cCw3DEQDyrBvLRjaDAcehrvQcMwfZiRBykJL3zZwC4fb9ClOF/YQx3HYa7BeRQEBkMD4SoijXzpKrpNkxxBq4URYc5Lio1HEWn3yhF1BCiVVpSLpdDCKNjh6toKJaMfdVagvAKbO6jlyCa6vEGjYguR0rE9o1+ylO/waG6BLWIQ2nYmuW3UO23T6lgNwpemVEdwwlJP/snKv74Y3LHnO9PPlbRp4AcPBJ3cKgOTDUlCNpGLzwP8i3+9qqIiy65Ft9JCArAVWdCWKk2tRrCdUj951HwXOzDT+u0KK/vIHInfBqv/5DW/0hl/NdvPtv5tqyF94ks2z88gE+3LdJoOod2HLqIVmlBwep+xGFkbWSZfrEtgHS3KMtJUU+qYKTbbh7hNSHFgE7LkVKSrTibPHkofNy6LQuxrCFI2a/Tckqr8mmaUycXDat85UeRInrY2HDfw3CWI/OjEM4GpDkEmBBZjmuOpKXmi2TMHZhNj+GKwUA0B6R4bTiksk+SYhIwCDP/IlIeGUmf4LyevREYhl1wuFTqALKB42C+CwyJWePgIUUlQraQanoQmfp/SsX/lr2QTO5xvPRUjPxSDGscpL4QWU7YWU/l/kvaPI0Wx1JKVyq/H6rRh8DpT5kCQxRkOutJpQYWz5HN5UmnOvFRnMrgDRiGrB0QbwUdWqUqOQeqFesD4DrUXnMc0jBpuOUVnPEHkT3zS7j7TlGWB4Bpkj/uQvLHXagop7yFqm8wKt0vN7lC63KKg98UVryD2obA2DfeWUrN98/HHT2VpuvuiyasbMidrKold9JlyOq+kfVqo6f0qLzzOqRpRXIc5KAR5E7/f223pysQ2Sbf2O/k3BFn4kyaP/MDZLlznFYvKNdo9la049BFFAc/Gf4PgOtFNz6kLBWwpk2BYfkGvm2MUqhxKKRg1JxIKt0PaMR2waAZj847DgGtWnluvw2z36lI0fkcW6+4Km/gGsMLhpXETR8MRi7y9WVTR2PWfBDhrMVsvB8v8wFEaqJ6/r41BLfvZ3AdB5qbO94/RKmrUp5M9iEs4U+xlTKvrE+20LHKkaZylCAwoisqfFm2p24UC8PC7vcNrKZ7CzMK1FKMXDEENz0DUsOR7hak0V/p+krvORchIG0atDh+Op5SsbOUsdtkBs56ZdNvsVr2BT4IuVdBzmHd+vX0qamhpaWZdKbjVWzngCNpPMB3OlMv/MXfqGjwuJNnIStr8QaqDyQEQlOj/Q85b3Qd+dF1yuLsQz7qX1PMtpnuhINo/O6jxUJmGasTUmsnxFz5CplHbsIduz+MOyaSKOuVpzFXLcI58EO44w8KrXirpCoVojPBKnox/z/+HAcyVWqD6ey8Pz8jXYFXeB14ZgopRCm9KG57VYXuUXKfUTj7tI2IFlvY5tRqqjSavRHtOHQR4f7tlhGkKqkZjPlijQOYZhXgkhfRJ6kWIxdWLanCh7ftWXhGf7U2saFD8qmDSJuDkW7nV8HLZx0U03kK1QlRZ0tIcxgyU400+kDV8Uhr38htVJPCLc62sMhnjkUa/syLrHXY7g7bLXmG4BdHb8fKvgwcGllG8LqsSuVbPVZFWkNw+3/Jf85VpnQDdmomRuaDmKaJV/NxvyahOXqhdSnKZ2Lv81vSVj3kJLmI3Z6C81r2PKyddyMrPohd9clIMgJKqUpZDOGvELvGcDzPJdeSZVOLb+TV1kYzlGVxBV0tVSl/zPnFv81l/8VY/zbu1MPwho6JJqhspTou2QuuT0QOmarW1xIYm3EiDoVrFC2NWK+/7EcxojoOy/5Leu4f8QYM8x2HgcPInvUVPyUrIvnDT8PYfhiyr//ZEquFannakyKiYRvV//spvH770PjjpwobhZ/elWspOIWdO4eo34qx9g1kn4F4IycWt9sfOAHRXF96TuMQp8ZEo9lL0Y5DFxEYMWYo4hC0hoy6+hk4HCnhYhYGSHpEX5F1gkJNg9AEagGiurRy2Ekqm39N3vkk4K/k5WovoSrtQoRuOIEfZYk8KXcVhvB793u5NxFyAFJGbLkXkBqFlzoHANHcHLmrkpWfT6b5d8iKD+DWngWeE7nzVDgNK1dxOoaRBSSeVFtJDXfpcjwBUu2Lrtjpy8wW9BRIQKoMBgkhhEAIoVyI3N529YgDIAzSZrA9kpgihrcVgYfIPo+ovmC3+nakk9H/koIBKnHT0/FkE670EMLA81xSHbViLSdTiaysaZOzrUL6338m9fITNF/8w+iOQ7lRvW0D5psLkf0G406KPkMljDX/n1Tc9wOcg48le/7XY8lyx+5P7sTP4I4/KPKxomz2gowxL6FNSlCfgeQ/rOiUfuic1hsCvZSiF22Lh80lLyCyTX4qW2dfZ7vqXpSq8AcDRuheZK58harfXI194NG0fO7/itvbS1/qUNZbr2GuXIS73/6tXgO5Ey4i/8GP4Y2IntKq0eyt6GmEXUS4xqFopMdsx5px5mM5bxdkRV85K9Y45OcjCNdeRHdCDG87ebf08lHpzlNsWUqWjLuwFHloeBhTboocBUk5r2I0Pwnu5uI2tTQcG0Ee3A2kNl9FZuePALUah+I1FR01BXUKOE5jQbt+OBXHqckoKGZZ/bEKTqir8PwDCGcd6c2XYm77btkY8IhI25+sXdbNSNVITxkSkZ1HyvBX43OuYm1Repavh6HY3YtQxMGqwDD81U1PFhwjTzJwQH8GDxqEYXT8UZz695+p+X9HkHnwZzgHfoiGG/9D9tPfU9LL2PgOxto3INccL3pRlqpkrl5K1e3Xkn7q99FleR7G2jcw1r/lP3ZtjPqtiKadkUWZKxdReetXST3t5/q74w8k9/GrcA6IVl/kH9y6tSux0osSnIZcRrjQN9qBss10bIDK336Nqlu+jGjpfAvboO5ClqeaqRRbJ3ivzGUvUvHAT7AWP9/6FHWzcQ75qF/Yr9FoOoV2HLqIoIDVMkQx4qAyAK5VjYNoxDR8uWbuhciGdWCop5ylIASpguHo2Dsi69RYcQW2V/pAd1wHgVv8f6f0CQxFI03emFaaUWGNQ4rd97RvT6e0/QJmw70I+x1/yJazKZKMACd1CE39bsTt82mkqAEjeuQjcBKFcDG8jVj4NRKGvTzy81Ysjs77BpXjAULtrVtsEWy/VDSsVVbkpZQI8ghcDPstrC1XF9uxRqUyex+ZLZ/F2/kQ5uZrSe34cXSFCDnroglr52/ICN/gydlqA+Aw++DWnotbU4heKdRdlIqjIXBhPc/BcfIgwDTNjtuwBuRaMJp2qhmsZVTceR013z4Dc83roQ5NCoPWivMSCgZnnCnU+Sw13z6D6hsKK+lxBsBtWUfq5SewVr0aXY9yyqZQl1qoqsxeKDOGXYfUi4+ReuGRyKLM5S9hLnmhZIyr1jhISfaca8ie+eXSCkdYXpTX227mJUA0p2ZXLVTF1vUY7yyDpvoIsux2ZWk0muhox6GLsEN1CaUah+hypJTFWgKz5lgMy18Z8WT0oW1OYX+jyk8hCAxHN78mslFk07rbhtj8NazmhyPpU0rnqSRvHVz8zrJrzsAzhkWucXBS03ErjwHZTGrr1zDrb1EzZoUBIgPWcJx9fkm+33WRU2e8wr4p6qlu+BYmfgqXdN5TLo7OezVAqa0vxEidsfqXUug8NaPYM8eQH/gT/4F0lB0HEEgspBQY3kaEu0VJVt4JnHX/zZcqGLH5iCoF96HJruD8vx7GE+/OVL/fgaPW8tdCC2WgeS549f5Kb4SIWKlVafx6AhFOMYo1aC3wkP0XU6zoRTElqOB8xHJogmLfQgpV/VbMJf/GeHtJZFn2IR+h+ZIf4Uyf428otlCN7sCVipALz6GUVP72f6i45zuRZVXeeR3Vv7gc0bijtV6OXXJ2OoNhkD/mfPLHXdBqs1IEY1dRApVagvbmOAAV9/+QmhvOwXp9noKs1pEQ8435pP95t9LrQqPZW9HudxcRTlWyzNbbVOSYAgxDYFj9AIds6giEiFYv4XoG4GFW+LUEwfRom75URF5Jbf3Y9lIIiDQELLA5jHZmHSh11UkfgVVZCc5avxWrMUBtRoWUrVJHVIzGcMcozxiCMPwIim2pdZyRUpIzxgIejudgtvwLmB1ZTvB6MqpmkyoY2I4L0lRwZoQAoz/2PrcBJiKrNkSpueITVFZeQra5gZx5IJVVfUChyUmpbXEVTt/Pk0n3BdxibVFU5q54lQdeG0d9cwPHjo9evAolRy3jvIrhVgP7IrFwXQeE1akUpSKh9pvG2jeo+vUXcYeNpeXzN0VXzCsZZTLGMDlZVUvz528qGXfFydHRHYdyo1oWZi8oFfu6rYt9zbcXU3XTF7D3P5KWL0S7X97Iia2Kc2PVOLjlzlFooJljd76WICwriPYIQfPFPyg5XHEJWsVGiWDswnFouvYe/5ojvd4LsqxdOCGRIiF2u7KsV+eS+efvyJ7xRfJjp3VenkazF6Mdhy4iSFUyDYozE1yFrkrhyEUgD4K89GieSKlg2zeEU1YakOSNfYHOpxZIKTFbHgc+XNyWG/A9nBoitS0N8v0N4SBkE4bwe3JLT8bLmbdG4gz6YUGx6F/ulr2IVMsCqJyJrDhESYViqpLZl+Y+30YYLYDEEcOV5EHpteC4YDgrEdZhyp2H0oZNysgDaeW6C8/zChPu/I8RwzCwbcWBZMCWZpM+mX2oNGsQoilyxKH4+jbTyIqDSZl+KoPKHAeAjfX+8c3ZHSD7KxZs+7+N2lMQDQN9PSvm4HgbQUR0tMLGsJQYm9eU0maiEpZVbFWq8NylMq3rBgKDUSXiUGbsxxpyV9ZCNfbcixCysgZ75vHI2v7Rj+0zAG/wyNYFwukKaGmMNtAM2u2E5Bzy0cg6YedIvfwEMlOJM6NUOxUnvUiWG/sqHZB2U2jt6xVhdaGjydE5PTlao+ks2nHoIkoGvyimKgVpC1GMj/DUaHPHL0i5xwLDcQtGTGcjDn5XnkIKh7cB2BfLFIBU6vYkci8Tdhz8olsRybgKHClLbqPSfgFDnO7L3v5zUkMOx7NmdEoOFO6puwWcDJgDisYsRJtmLaXEcNdh5efjWgMxmv6JiYFIfyFecXSMydHBeQPD2PZM3Ipjo/h6RYqdtaxqUmbr12VULPd1rJ3/Rabr8KqOVpIhpeSZtzy+/lQDr2/xOHqs4PGL1dKCglSllAFIm7TpP3Y8Oh0FC/A8j/U5f4hZSz6PkI1AWjlVyao6ECPlAM14UuJJiRk1U9Rrx9hPYACctNJ+xCDiQkR7xEpVKltBD1b247UXDWov1O+XueTfmOvexJn6QT/yUFlDy2WFOpxFiyPJyp5/XZttMpVBtDRGGmgG7aQ9KSJaGqm88xt4tf1pDDkOKiv77qjJNH7roUSiHqVC6/YjDlFeF2IXqUqxWthqNHsp2nHoIsKpSkFbyJzCymfeKbWYFLnXMJkJDMfI/gcpZ0WS5bl5IEU6+zTwqWIkxPHcyPUEjdaJrbY5bvSUnqJxbZh4ok/RuHalgRBeZCOtuuVmzKb3sAd8B1L+sB+VVCUndRAiNRQjNRSz+R9ILEhHM2TDMyqklBjCBQykswkhhkQfSCZt3PxbwBgkAtcaB06Les59859IGR8GMtiubyhH0UlKieFtxsgvgNwCRO41RNVni/+Lcm13z1/L61uGArBofQ6j4UEQJ0S6Lgh1DRNNpDZ9kYx7GTApcsQhuKcbmmsBm2a3D6XS5mjYIcdfhJxHz3EQZjSZ4SFdcec4hNuo5k+6jPzJn1USIxq2k376XrzaAdhHnxsqjo4TJSg4Dv2HkDv5s3j9h0TXKzA6gzSelHrEIbXgSdL//jMtVX1apSwlhuosgXZW0VMv/AWxYxP2kWd0PiJSnj5VoOi4RVnZz1S229o0/ehvSL32LLlTruh0Z6v8B0/DPmAOVLRuThFEQiJ1aBKm7ySUOzRpxYJyjWYvRjsOXUSx7WXIcbBdv2hWNeLg9r8G0ywUNDvRWxQ60vcUjLT/RZwS9UANsmUeVHV+dR+g2TwEKH0Jezv/gNmnFji20zKKqVvmQLKp4wqToyFf+3mcVLT7JKVEin5II4+QWcwtX0OKKqi9ptMyAjxzOK61L8I0cPpfh8SEiN/pxeJouZnqht9iiauASoz8K0h5fGSdwMFxS4amSr1M+DhLZLGMYEVezSh2rSk4lVdg7fw1Rv5VqHIjOyAAtlu6uTtyFjQ/g6g5MXKqUjHKx3YA0oW6jXzBMYrKxkb/+GZvAJi1CNGknKqUcl7DlMOADG7La+A5GObQSLKcKYciUxnciTOKhrBqxKHVam6MydiicTuZx27BHToG++hz8YaPo/7G/0RLuWmjk3+s7DuI3ClXKOnl9RuCM+kDeENG+7LipGMVIyGhKObmtYhcc6lQKwbh1JtIr6529Eo/eTfmupU4BxwZ3XEoG+KXvegGslIiK2uiaNUuxrb1mO8sQ+zc0vmDKmvaP7dC0fb/Z++/w+W6yrN//LN2m3aaumTJtiT33rsBY3oJphgwNSGA4QUChBAIIRASQgkQWmiBQOg9BNO7jY17t9xt2ZZldenolGm7rfX7Y+21Z+acKXsfye8v39dzX5euc7T3njVrlznzPOu57/tpvvRdNF/6rnnbVaLjyG1hO8QQj2EME4dHCVHajEpgWQLX1kFEmDNIa6c8Ke9wLG8KUIQF3YE4lxOS9IAYe0QH927qqpM/cJjrVCODh7CiMYST3Q0nzRuStzfaC4m+Znn58vXKmyiVSiBnEPF2EPpLJy8NK72mwkJ5h+j/+/m6IrfOLUTI3Qihv5RDkX/1VM+pgG8d3Bq/eQtKHL7gJoDWxCtxHP1lGUUNFmKwJq2lqOLBRPwVCCs5x/xltYBWAC2VxbT7ggXZvaWfOadMXH4Gbvk4IEwrKnmxc6YKFGmEch9crPTPUu3rFOSFwNFEURUBuahTAPERpxIfcSpA6qSzUIpF/Q2f1NSYffWvn9s52rJhgYGmXLyK2t99Yz41ZQGITn0q0alttJs00VqIE9Ic2hMw8i8XIeozOK/+Qq6xyp94PfaDG6i/+bPEh56oNy6kxwHMp2NBytnfH7anamQi33wAa9OdeL/7JnLtMR3dyRd8jl1gEq390u15X5rmDTHEYxTDxOFRwlxRcyFJHIIob7DfqjgA2JYDhERMIESUkz6TBI1JVOa62nXGd88C/OxjKYUMNgIHppv88kXElUKulXlp5rMfdACtqSkaDYvSog8gbA8hF9DcLtqILaeBQ8HRgX5eypMRHCt7BbWR92BbBUARuifmmksKIQhj7YoFoGYvgbG/zT1My3moiMt2YBky3gMsy13hSX8vnqynGEVAkF+bIIvQtta6RzyB5SLH85jAVPlsdyly9EW4dtIwb4E2yDtmA6BIPVAL5v+nVsrFY3FdvQLsO8dS8zdTKS38z6/aF+EwIA86Mv3dueVSCj/+d6Ljn4D//LfkG2hO5+h9glckPuSE1v+jEOeOK0Ep3b14H5CKoxfQE4K5vSrQ3HhRn8HOW/Hxa/MaqtX+9iu6QpMzYap++Ne6WjBnXkC+oHo/2vxau7fgXfMzwmYd2hKHhVi7Otf+HPfmPxCe/kyik5+Ubg/PfBbRkaejFi3M6awdqlDSc8vj9jTEEI9xDBOHRwntGgeAgiOoBiq3zsGPTDfcGKv2a2x1HFBCqnwroFoc3Tknt41ClQdKRdi17wN/k24L7fUo10EE2d1wTHBty+0UwnuxRBIcVH+BHa4hEkfn7y0gJVEsCZwlFOwCyPyBlRdejRdeRTN+GUJdi2NLUE9AqezOIC39hoO0VmAJ/UW+kO7h5hq0B8CBezwO+VfA2yl0ru0l4zod75MVjnwQ0ZhCuYeAsyrXa9sx95pMNRQriguw453zfHtG/B0L4jjfQy6VYkddr5w3IonlX48Qx+Z3ejIVnsWvwp2OgBq+HCGO3TRRzgpr051Yu7cQH3QUavFK/Ke+smWZuS9o1rG33N+Vmz4QczpHU5+h/Lm/RnlFGm/+7L7NK2hS/sybUcUKs/9+de7XImPNaXdc1KIVzH7wF1BYwPVK+0u0r+zrvwVWzsRNJ9dzgvSFzAlQi7tQ3bwFCMp7VBzcK3+Me92vCM65gOj0Z3R5YRd0cXrSg5l5ZU8c7M334t74W+KDOy2s1aIVqJy6l+I33499z/U0X/r3xEedmW6PTn4ysydnp9cOMcQQwwZwjxpaAZqODgqW/kPuR/m4+2nlwvKxq9/FkVsAUMFdKKVyBTIyrum51H8MtKxdQ6lyrqgr6hzasWUhTclMcO2IAKEaWCaSCjdhyd25kiKASvUjeHvfi1DZLWG7jRVZa4kLZxCxFK/5S+zaJQjyBQjmttjzqilyQbaeQk4Rtela/NLzcr3eIO1C3vw1bvLlHoqVuSsqSinc8FqcmS9jz3wdq34pQjVzN25TShHHujJgOplPzTyEID+9yAiRXRFhT3+BQnQLoGl1eec03RSEUn9AImkTGv59zmtkhNmeLVrUwFjXjfJSlbzLf0j5C3+Dc+fVYDv4L3w7/gVvzDWGQeF7H6X47Q/pAHsf+jikgaJonYtzz/U499+Seyix6xGK3/oA3m+/oTfsg46j8PMvMfZXZ+H9+r+SSbmoZWtQY0tyj9WyiW3pNoxA18o7t162oPsJKY1nPzRts3ZuxrnzKqwdmzIP1ZP2ZBLc/dFMbgEQk9uxtz+0X7quDzHEYx37nDgIIWwhxM1CiJ8l/18nhLhWCHG/EOJ7Qggv2V5I/n9/sn9t2xjvSrbfI4R4Wtv2pyfb7hdC/N2+zvX/JoK4tbJLvJeCpcvTeSsOZhzXdojLT8Gy9R9g5d+de06tZnL6Fw8dsMnGjXrMrIE6DlXvhR3b4votiEa+VcGUkuSspuk8Pg2uw9LTid3jc40FYMltWPFWEBZe48dYM99EJJz7XMmadw7R2MVE9mE03ScTVy5IOhvnoSoltBk1idf8KbbQ87Aav8lxRm2Qs0RtTjULF0cnz1N0B67QCdZC7VilvQ5ZPBsrvBt79utYajZ3MgsQx7pfwtKyft3Mnp+mzQ3zIHVViu/Fal5LUUwCuuKQFztqne9dc87NPQa0rq0rwpZJQrAbR+zBmet1Pwg9RKwLgXfFD/Eu/Y7OcPdBOCySe52uoO9DAzhr7w68y76Hc9Pv9Ia090KYX4Q8p4/DPsEt6L4L7QFsQr3JTVWS84Nh7+dfpPKBl+Lc+sfs4zTrlD7zZopf/vt5c4V8FQd54JHMfO56au/4Wsf2BVmV9uj2nFZCcgTuvZIQ65F7KX7j/Xi/+2busfaHfmaIIR7r2B8Vh7cAd7X9/1+BTyilDgX2Aq9Otr8a2Jts/0RyHEKIo4GLgGOApwOfS5IRG/gs8AzgaOAlybH/n0AHLUg1KSSe8rk1Dqbi4BSRoy/Fclfr7faRuVd3Q3TTIWvsAj2mpb/co3Aq8xiteXWeg6z9Ebv+c/17VqpSynJwUKKSJg6RvRZlL8u9Ml8beRfN8X8ECrjBH3V3ZbVvDZ+a3tOQI89FWIUFiaNdpvDCP6XVGKnyU3AApJggUC2P9yisIlh4cG2NPA3bHQcgjKMFBfyhdxbx+GuJy89Clp6AEgto8gSESlOClpb1NZoM15NqOXJ9VpJk3bZQ1iKcstZehDkrDgA7ZzvftxGq3J83PSf9s7zn9bjRnQDE4W5K7p58drzQtgKrg3T73htxNlyxwGZrrbH2pTmasmzkxPKWg49xU9qnpm2tTshqofauXehFpS++g9Kn39g694xovO6jzP771UTHPS7dZlb2rbxi6y5OSNaerdgP3Y6Y3pV5GBH6uLdepu9/G1R5FFUeQ+WxD7YsnXDMpUylguYFNFqbkxTHqw8jOPd5RIfkWBDqEeyLqZ14l/8AZ8Ofso9lnsc5bl/Wjk1U3nMB5U+8LvtYQwzxGMc+pd9CiDXAs4APAG8T+pvwfOClySFfA94HfB64IPkd4IfAZ5LjLwC+q5TygQeFEPcDpkHB/UqpB5L3+m5y7J37Muf/WzDVbccCnFV4hQoQ5/aUb/eBByh5HhDQsI6CnPSZVDyafGk5jg5Efefk3EH63FXqwD0BWfQROb6w4jni6NRVSeUXIyulUPYK3bE0bBAUL8BxbBB27p4QSjZAKpSMOigYeZBWU+wl+N6zsC0LUPiFp2GC4szzUQolKkQywIiIrckPIFa9HdWWTGRBWnUqHYsrtgEe1C8DHtfnVT3mlFxTOXohAEIphKjmD66Tc1hStgHFHuupCMum3e43C1JXpeJRRMs+jufVAZ9Q5tc47KgGtK+r1EPFaCFfAhJLhQIECsuy8Rz9LDXVYvxokvGcgkyRilj157f0hb/Bmp1k9qO/z++O1K1z9AISB7nuWKof/V1rg2WjhNBzlXG+6ki3FWa3oIO+MMjXfbhLdca57Y8Iv0Ej9Ped/pKsoNt5NQ5z7iG0C4f3vRNy82Xvpvmyd+eaUy+05rXveon4yNOJj8zXd6gnVWlfEpq5FCohsLc/iFxI35EhhniMYl/rdp8E3gGY6GUJMKWUMks6jwCrk99XA5sBlFKREGI6OX41cE3bmO2v2Txn+xndJiGEuBi4GGDFihVcdtllCz6h/YXbNpeBg5iemuSqqzYQNNcCJW65/U7UjiilKVSr1b7zvWF7EVhLozbJTdddRXXPemAZG+7dxPX1LTiOg+sO9kyXUjI7uw4ocfuGW2ls8pmdWQOMcvs9Oynt3E2hUMjEu1bRHmz7HuAv0213bFrJ8nAW378Oy7LwvMGdQ2/a4QCHIv2t3HfHLezeeQawiJ2P/Ik7omn2zE5QLpcHXiOlFL7vY9s2vrS4eluJIxaNceCYIo5vIggCisUiVoZALYoijlv1KyZGt3L7pvNphKOUioK9sxUQbqbzArhlTwk4mNmaxRU3e2x5RD/Wj2zZyvXXb6ZcLg8aomNOYRjSCI4HkuAzKnLzTdeDPZ75WQKYnDoQqHDXHbcTNIvAKLsnp7h+8no8z8tMn/F9H9du4roFIukCFkopms1mrnGCIKBaOxwoQmMPsJg77n+Ea9hGGIa5rtOtD+trbj5zO7YuBZbxwEObuU5so1QqZbpGQRBw86ZxoGV/u/GuH/BwqMWohUK2ALYZKuAoHEtx+cZXcddeHZxMzha4/YEGi6fuJE9juWP37GE58MDDW9lZ2MDZSlAENty2geZYjsRBSc5PRM033HoHYzse5lSgNj3NjUkn5HqjwQ05uyIbPMFysOOQm266BZmjg/CShzZyAjBdq3Nr8t7nYuEBt95yK2F5PPNYh+/YyRpg07YdbDFjWS4eDW696eZcY3XDyDHPwj78SewuLWFPjut0wDFPw/FrbH1wC9HWKQDW751lLbDloU1syjhWYXYP5wBBLBd8nwxGd2zksD99g5kVh3L/uS9Pt6/ctoujgckd27kz43ss21PloJWHsTNw2LyPz9JRu3exCnhwy3a2t71+dMcjnAbUp6cyj3vq7AxjwF0bNzFTa31fetVJzgXCWrXrWEpJnI0P5Z77EEP8v4wFJw5CiGcDO5VSNwohzttvM1oAlFJfBL4IcOqpp6rzzvv/63QAeOjaGbi1zsplSzj77INZevNNMLWOQw8/nLOOHKdS0bShyy67jH7znd5QgxtmWTZS5YyDv8fvpt8FG2HRsglOP301hUKBkZHBvulxHFO4dgvU4LSjQo48+GxWbKrCjpBDDjuC09atY2xsLFNQVJt+iJ/fcF/HtnWHHM7ZJxVoNPQq0MTExMBxwrurcH2Vklvj2CMmWLl1BWwNWD56LycesYQZcRqLFy/miiuu6HuNpJTUqlN4jR/z7zceygdvXw/AC493+eqFJer1OuPj45kSrDAMiXfeiJKTHH7E0ZT972GrXcyW34NyVmU6LwB1vw9X72VifIzTTz+d62QEGyUrVx3AaaetZMmSJZkSGTOn2swjqMtbQWa45B858aAGlUpF965g8LMEUL5pJ0xLTj7K5vdTS2ErFFdcyOkHBx1jDUK1WsWb/hBO/CDRxFtRzkFgjVCt+ZmfSdAJiHPdbqjD4WsWc9kOqCw5gLPOWkuj0ch1nR6+bgZu05+5c071uXy2AffDitUHcvrpB7J48WL++Mc/DrxGvu/z05/O0N6TYskSl2PWnUUYhixZkk1gO1WP4Ne7KTgWZ599NuWtEVw1i1uscNhBB3Lw+nWZzw2gdKW+pusPWcdBJx6H+4MRqO7h+MPXIVeuyzyOoW0o2+HUk45H7FlKsOfFFJat4dQTjwPghls2pL/nheV6EIecfMwRuXo6OOjmYGOLFqXv7ZTK0JjhxCMOQS3J7txV3DABwEEHHcQqM1Z5RI912FrUsjWZxyp94W+wNt9L4+J/RaYOP3rM6bzXKTm23UjUe+QquAnWLJ1gWcaxxK5H9GuLpQXfJwNnwxTl7fcxsnQ5E21jOfE2+D0sGSlmf48Tj4MLX8MKwPge3XDLBk496hCsHQ+D4yIPOCTTUN62U4hEwMHHn8Kao1vvb20pwQ+h4ojM86r8RCewRx51RNs9BGoz8DXwiOeNpZQiajZZeuDaTO8xxBCPFexLxeEc4DlCiGcCRWAM+BQwIYRwkqrDGmBLcvwWtPH/I0IIBxgH9rRtN2h/Ta/t/+vRrnGwZr5FwdZ/LMM4XlDnaM3bXsJoUf+/OnMLQpybkzqhAyFHbdU/hQ9YRP6DwOrs4mhrCTOFV9HuvR/HVYimaRWfBsPQeYSzjMgaSR2IIvsIpDOSr5eYCnH937F9egQ4HIAf3BbyledGKGXlcmhqlC9GFYtE9TqxtQpLlHOLLNMGcNSw471YQgcqwr8Z1JF9XtkdVryJMD4UQ58J44Vx7s1zWax/H5dXAMsJYxY0FngoUcKe/iJC1YkWvQMhDsrtYCTjGWARS8sh4DK993qEOg5wc/Yp0T/d8DacvV+iGD8ROChtAJdnLNM12qBqn9nhGpZFn2D0DS37Y/2aWMVUKguQl80V1roL1BMYWkYyjlpywILpLfadV1P6z3cRHX0Wzdd8CIDw1KfqOYmc59iF/19793c0raeUj5LXrb+EahMO51EGWZPbsHduaol19zfSJmT5m7bN5f+7V/w3hZ9/ieBxzyd41sXZBusxlly8ivDE84nX7VtiAmBvuovKR19FdOhJ1N/5tcEvAIJnvJrgGa+et30hPSHCM59FdPgp8121vPzXfoghHutYcOKglHoX8C6ApOLwdqXUy4QQPwAuBL4L/DlwSfKSnyT/vzrZ/wellBJC/AT4thDi48ABwGHAdega/mFCiHXohOEiWtqJ//VoJQ4CET1Mwda0B1+W8gmaTfBROJBo2ccY2zwLREyH+UvtUdKHwCrp7rOeaAJl4uY9CLEmU2CllNLNyKRuRJdun/kBzuStiLFPEEXZvmDTxMFeRGwtwkqCsahwNrLgIhqN7MGecPBLL6Ap1ne+R7QVyHZu7TDHVwuvYXR0FJVnLrSCWEc+TNm/BDsxBVPxXgRh/v4UjKX9FgDinH08zLGpOLp4JE7i0GW25Z1TvfIWSqUS9tRnIbyPPLSbdkRKn5cRR+/1C6BihPAWlmSLWZSo4BR1Amk+QwtJHBxLX5+GXI4QrQQkU+JgmjdaTey9H8NTrwA8onCSRaV7aadCZUHjtR+hGfra4Qfa3JDyOvtI4gOPbAmP9wHCb2DNTiL8lgVy88//aUFjqUKZePWhyLbKwoLsU4HgCRcSHXVGZ9C70O7F8XxdgnPLpdh3Xcui0bVpFSELnBt+oxvanXR+KtRtuRflmFePfgnCb2Dt2YqYmcw+VpeEDUCuO47GGz+ZfRzQCaOS2l2rrZq2IIemXljAfQye+ufddzie1uREYX5NzhBDPEbxaHiTvRP4rhDiX4CbgS8n278MfCMRP0+iEwGUUncIIb6PFj1HwBuVUjGAEOJNwK/RxO6vKKXueBTm+6ggMgG/DfH46/FK+g9mXnF0EBlxtA5UxooFIGJaHYtlWbmSkEhq8alT0KvfjqMTicDOQXNIMLdpXKRGwVqUyykmNs2xkpeYl0ZSdazuZoHCJSw8hUCEtCc0gVyY089cWJZFmMOustUArkxkrU3PMXBOQFHM9d5KKUJ7Le1iYTn1X9hjjwfW93pZVxiBvDX+EhxHBxeyfj1wYq5x2hFPtHoJWHEjd+UikIk4uuIBksn4KIQ9AuRL1ow42i6dSLT4JNzyGNAgyFlIUUqxsxoALgeN1XlgqkwjUohkBT3rnIK0eWOIFdyBY0eARyg9JB65Q5RiGVVsaT4W7IZUGqH23u+3/h+F2JsSx6f2zs1ZYN7b3vckJD72HGrHnrPP44AOeuWclfKFrFTrweZXL+z7b6bwh28zetZFuYYqffU9CL/BzL9fkyYO8oBDCc55LvH67NdeeUXCY8+d1wRuQUnIfuyXUPjpFyj84ks0L3gjwbPbnIoWkrTVZ0EpKJY75qYKJeI1h7ecvPYFQuiKT9DU3bYL2TVVQwzxWMV+SRyUUpcBlyW/P0DLFan9mCbwwrnbk30fQDszzd3+C+AX+2OO/7dhVhtdS4C9CM+tAiGBzGmhaugXyXfWaFFHoDO+Hj9XYGVclZIg1nVKQEBgHwE5VsFFvAMat9OuVW+Wn0+09GXg+6kj0qAkokXnqSIUWGJCb5eNhJaRfwU7mGMTG1hr8WQ913UqNr6B25zEd16EtFodSrOeF7SuNe7B1AvrsS19I2OxBET+xglzEzUZbEOofOcFbQmtBZ6IAIcw3LlAqtJ8CCEyV5wgqYIkp7Csoq/rVEMgLCu3RWxa5XNGwKngOTpZXwgVq57EwyvKMzpxqN2LEEel42QxETCLBK5TJpp4G15jMdDEVxPU4+PZN3kuLWvJvBWHORD1GSoffgVyZBHVT+ToJUDSYwE6qhdi9xaE30AuPzCfE1IXFH78GewHbqP5/Lcg1x6zT2PFh5yg7Upz6C70C+cnDua8cvdxSN2sWmPFR5xKfMSpuYZRS1fTeMvn5u9IaU/5+yXM63EQR4ipXSDj7JqQLkkWtNHEciQO5f94O86dV1N76xeIjzm7taNYofaPP8w8DoB9302gpE7O5lTagie9LPltYRXTIYZ4rGHYDeVRQto5Ovn7WZQPAmsIwirkCBmMHWsxvA5nz2WMF94DwGxT5V4Fj6UErKT79IEp59oEVpmDUDlLHG6bM7b+mWectHN0/BCOFDjWhP5/7cc4NYmyXpydPqV87Phhomgp0ApWIgke+RIsR27GklvADqg0v4LTeICo8jpCdeDgF885N1NpaHWOJlfwaRDO4Vf7lVcS2yOIBfZxsEWE45YBSeCclmuMtFN37WOIhk286B0g9J+S3L0J2ua0JFnsm2rm73MB7U0XBSgfT0wBHkFM7iTEj/X5TFTGAGhWb0OIo3ON0+or4aAKx+GGEmimiwp5UfjOh7G3P0TzxX+LPOAQGq/+oA7q8tJ5zDNjqnr70Meh5Y/fck8qf/pN2Ns2Un3fj5CrD+3xwmywHr4b565rsKZfmsvE2Lnp91i7NhOd+ETkioQmeuHbFjaJLj0hzMr+/7rO0V7+AL3XnMSerYy++9nIZQdS/eDP92mstEfEfrBQXQhKn/9rrNm9zP7bpfM+L/7z37LP4w8xxGMJ+6MB3BBdkK7sUsOa+RZFHk62h7k85dNVS1GDeCdjRX3LZuq7IHG9zRpcx8kXoBPequ00k1XwKKpmHgdAWiuo2Wd1bJvbEC4LUtqMVUaJ0VTjEFMEq5RrTpbcQ6n6b8T+xn2eV73wcoKxtxOLZQhVQ8hpBEEuga2c16NC/1TRVpDV/E3gmtd0/DewViOscm4hsgnSy3vfiau0i00oluXum4GS2PEDWOF9WLWfYe/5J4R/S36KmZRpR+wlifB/qhFDvCd3lcBQlbz4fqzqf1OqfxfITw9USuEn3aYnynp1ui5aAXD2xEH/dJOHIO0cnXM+Bs7GW3HuvAp8HXypRStQSw7Ivapvbb2f0dedSOX9L0omuPA+DqnQut1+d4FN29zLvs/o60+m8J0PtzYuUJfgXnUJxR9+HGvbA7le1w1p74V2DcBCEgcpEcqssLR99foNrEfuxdq6sfvruiEKETN7oFHt3O7pv5t5qEpy2YEEZz57Pk1tAaLtnv0S9qUnRDfdgVKJniJrlXzYOXqIIfYXhp+iRwkmYHWZxW78joKjm2Q15UguyosJMqzK2USLT2LMN1QlDyFi8uR+kdJ/gC17Fc1mEwcfcIlrVwBPyTSGUgqsEQLh0dGArvZHnN1XEIz8LVLa2ahKZuXVW09sizTIbhafSzxSgmq194vnjqUcYufQju7KAHHtcsT46ZmDPaUU0jkI6RUgqlMt/DmVchEpi5CDgmPyFS+6jZHm1Vji9Xr84EEsdTBKZbeW1AF/57WM5b6t7tuWwDEVJ5m/4R5ArfJ3FDyB1bgCK3oIKWfIT9yP03MruoIRN6AaelSbVSyRz0jAnJsb34cIH8ZztellsACqkp/c6kVlF/CpWcchhMh1zVNxtJjFql+Pa5+nt8cho841wDMyjwW0Ben7qCeIws5KVaJPECYQy3GOpkrRIbQ2SUReF6I4QsRRx9wWFHC2v3d70OnXEY0qqlDOZRMbPO4FiOpeVFJ9ghb1JhdVqb35W9s1th+5l8qHX0G0/njq7/pmpqHsjbdQ+diriQ4/lfrffqU1L5No+dlX9ntRpdQCkhARt6x+O9CehGR8xsQc9692jPztk7GmdzH7sT+gxpcOnlif6oX18N2I6l7itcdAeWze/iGGGKITw8ThUUIaoDmjxCMvxi1ph5dA5rOYNPQLzymBs4SxxEhwOqyglItSUQ7evf4SFcXjIGrgJF+qodJfovnmNWfsuI6It2GJiKzRYzRnVd78VAmdJ0+wp+xl+GPvoCkatPu4hknpJ/cKv4E1BnYFQQxEuWlYlpCg4vTcYnsVSuSrFADUnXNoF0fH9etx1Ep8ubz3i7ogpcms+Dfce2tAROw/hBBrc1XCFALlrkV5BWJrAlk+H2UvRcQil/MQWOlzaQvFRFFQDWEyWMLSQl4NTzJi4VBk5UjsicOBampdm/X8dMVB93yecCeBCvWg9UxmHScVR4s92LPfwltynt4eW1jU+7yyB6LOxMG97Hs4d15DcN6LiY8+M/MwqS7BCJotC2U7elU2ClsViAyI159A8zlvIF53bLpNtSciOdBaFW77+1FYQJdg2qsErbGK//0pvEu/Q/Oid7bx2gejmyXogioOPQLhFv9/IR2aO//WyqWr8Z/2Kq0v2VcsxKq0V4BuO9T+7hutxCbHWF3dv8y2rHPrkzgUv/0BnI23Unvn14gPPSn7/IYY4jGKYeLwKCHVODgjyMrT8QoNoIkf5bR0NJWL5Puh4AgKDviRIJA2SmX/ck4DK6FQgGMXgQDfOxchstNwhJwkDqeAFaldZdM9m3DJmSg5Qkclog9kOp/kZ/JLnJMDbuYthJhHAwkKTwTy0Ry84HLsWII8FexOl428iYPyTqBaPC49x8hej7IWQOuaK46uX4MVnwJieeZnSdPV9O+OBY6lB40atyPEuoUnV87yli++WXHMfJ0ECoEQugoyXnJ5ZBam/CLLin6uSlEqji4ejiqUcB09l7xUpShWSCWwhGTM2QmsoxnUQBVyJbMpVckZJS49CScJ8mJlMx2emVsc3VrN1UGT/fBduDf/nuiYs4nJnjiklKT2BMHxdHAVBTkTh+OJ1x/fudEEZ3n7S8ztU8E+OCF1CayVl1843AtyZIJ45TqCygSZfXhSYfScr90F0LFEL0rQkgPwL/zrzOMAiNlJxMwkanRRJ/9/IVal6bzmB/u5Hbv6BPvtz8XAvzRK9ddLJJWVPFWaIYZ4LGOYODxKmNv8qchOYIwwatAu3h0EE/QUog2IRowqnc1YQbArUsz4itEc1BCdzAgcERIJgZ0EsFHOQF2Em5DNLcAKSi7M+hAxCs4IIorI4tCklEImx3jhTThqFZalRYxW81Ls2b0I6/m5VsFhvqbBuFLlCYoLwS+x1AyieCxeeCv2zBZU4RyEWJl5HMO3tywLhIOTXGsjjs57Xn7UGaz67qkoexW5FKO00XlsgWvrXhyB1eonkCUJUUqBrOP5l2LF48jy+em+vPSpVu8F/f/xogAUexsqj4cA0CZGTj5zRlOQl6rkJ7em6CiKBU2DaM5eA/IcLKuYWxztukuRYy9HoBcAwhh8uQDbxzkVBxYqajYuTG2CZuV6CL+OiIJczdG6YoEah670IneBvRdSd5/5ugSRs3ph33M9KKVXo5Nzi489l9qx53L/LRvI7IdUGtE2rLKTwqUWMi+zGr8f+g64f/ofij/6FP7TXtWZdLRblQa+tkUdgPDxFxIfcTrRYfth5b5fsG+oT1n6QsgYoRRKiK7Jj0qE22KYOAwxRCYME4dHCSYYd5lEBLOJq9KZBNEsUMgcgJoEpCDvwwpqxKWzGffq7KqVmG3WGK04mcXRMmkaVgivJhZn4lqt98jaE0IphbIW0Uys60pOkjgk82ynGPVzDVJKpToAS0gUVroqTzytLV9zSPft8C6K0/9BHL4VaFmoLoS/7zuPw3VCpCriynuxgxuInUNRakXmoDG1mp3To0LKABQolX1VF8AObqC910LonYF0BLLZzEELaiUOhelP4IqXAy6hc0zugF+oKl7zJ6hwGco5ABHcjfKORNiH5XKNimIdEOrqh82iQhWoMFWr5grS2ysOHpMQCUqzPwBeSRirXD1PGqG+eQXHoVRaAdSpRyNAnMvJzCStTttl8JLEIcqZ8AGtSoFpHLZAUfPcygVA/e1f0ZSlnBxv65F7sXZvIT7gUFRCjzHUkrxUpW4r8vHqQwlPehJy5dp8Y3VpkKYWmISUP/NmRLPGzKev2jd9iRDdg++FVFXS85sznyjEvu9GiGPirD0x+q7slxBBExE0OnqI9Bzq0JN60n28n3wea3Ib/vPenEmX0Lzo7xD1GeTEfDpmrmSrTxVET6yUfawhhhhimDg8WkhpCuEtOHt/iOdoTq0fl3KOk6yilo9HJq4zY+40UGK22UCMjGUKitPmWCIGoQMON1kFj2tXAudmmo9Sitg+CN9aBUQUjQ4y3Iw1u4G4cB6Q7RwNJUkWTkYKCzsJXn3vCcSjLjSzOdgopVAqQOATxJ0BcFS9GhadnGk+Bk3v6YhSCWo1fOcMRPEocA9pl04MhKmmOPF9FMKt2NZ5eq7NW3HlKEpl7zarlCKO93ZsixYgju4IrqPbca0IcBfk8qNEmaD4TGxnFBHchV37ib48pcOS+5GxMhM1ABfXClHKZbG7GTiS6foUQqzKVZkxybrn/w6ruZiC0K5RpuKQdSw/ifgLNpRdfY3rzqlgjyDiRAycIVlLmzdaAcR7wV6UOJlZONwDeehFQHT8ExC1mRZPPO0cnTNAT6lKrUBqobap7pU/pvC7b9J84dsJnvpKAPzn/hXB016FXJWvOWE355votKcTnfb0BUysgCqUOsZacPfiHr0J9KD7XJ9p3c888+rlOBSFVD5+MapQYvYz12Yaqp/jUOPij4AQqNLovH154d70W+wt9xM8+eWZEoeO3g1zkdK7Mlwzx6P6Lz9tcWPnwFQchlSlIYbIhmHi8Cih1YxqHOkehlvWPOBAjSKEytFEKglAi4ejEqHgWPJHfCaoANloOOl8bJvIOxOCILUIDWMfSyjCDMugJigMEyecchJ7yHA7dv2XxN6JKDV4pVhXQPTvtrAQlt0SEItFmvYkagPnY8aK7KPxl3yGpgqSeUnqoUUUbMtVcWgPCIUQRNaRyFJZV1L8auZVa1NNcdQe7PghbMtKthdBOPnF0dYpHf+Pwr0I5QHZKk6gXazMNZeL3objjAKRXvVX5VzaGyUqBMXnUCgUEMFdxIDyjshtxxqoAiBxLAchBEVPC/WbcSl3pSh1IHMmUM4K7MVv0u+RiKOzjmWoSp4dU7L182QawplqSpbrlLoqxXfi7P0F0dIP49k6cbDZRN7EofkX/9zx/4X2X4gPPIrGy96trVz3EanQuk0XIdccvqCxouMfjxxfSrwue1LdC/W/+c/5Gxdo7dptRd7acj+VD76U00aXo076WaZhxNROSl96J3LRSpqv+VBrhxFHh74Obq0Mpdaeeon87kW9hNYA8VFnzNvWD85Nv8fau53whPNQS1d37nQXkCD1QK6GcpaV9vLoOtaQqjTEELkwTBweJaTi6MppxIvPpVDwgTp+TL4VWcNJb/suGS1PACEzYQmlsglIW42/9E+llG6UBfjumWhe0OCASCmFjJuEycp+yZhbiDXEIxeirMWZzksLdbv3OjDBbS5XJSyEXSaSIaAou4J6CL57Ru4A1JLbEFEJ1AiIhXGIU9mIeyi+syK97rF3HNLNN6ZSikAtBlrcaDn7E5zmcuD8nq+bizR5tIDisbhOE4iIa1chOJeFtnVR3lEo7ygARPL8ZE6wZBGoYycBkOsdBEiaaqIjCcmiu0jPb/RpqGIRrxADM/hRvuqMsWItit2ULQtYSj3sfH6yPE9BmoC4KFuvsLrJQz4dHkXOtm3z4SyMqqSWH0i4/MUd27yffB5r58P4F7wxe5dg6OkUtBDEh5wwX0AbNBGzk2A7qC6UlTxYUHM06F5xcFxE0MQOfaLur5oH0azj3Hsj8fI5QawQ2nEojyj98FOo/59PIBfNuSaWjXI8nUyGfitZ6jvY/mu05v3x+zh3Xk284mDiOYlDXqG795uvQxwRPOml884jeOJFRCc+kfigI/d5zhQSCtaQqjTEEJkwTBweJbT88vXPopU4vEQxkGP109Ad1DaQS8AaY7Sgg6BZP3uQliYyVivoSTUOqoTIssqFfq0XXUfccIGTUqpSKFYiK4clgWO2lXlDn3Lie0GtxRIJvzq8F6s+hRBn9Xl155xMYGiCtVJCMQmtAyDzV7vGaP1DiLqkVvoEltyJ5U+DuxIhRjPTXdIeFc5SIntZq5oi83f8Bub1cYhYDNYIQuXQE6TC6GRqyaRCVULzsLI/A6gmttwN0Sg4Cw/oWolxor9JnqdmmJ8C0t6jAlrnaZ6JrMmMqfIVHUEp4T83Gw8jfIGws6+mmwqIXTqOeNFZyZwcQFKLeq+AdoVSiF2btdPN4pUAyOVriI46E7n8oHxjdYF7+xXYD95O+MSLiPMkDnMF24Bz42+w77uJ6OSnEB9+So8XZoNz+58of/5thCeeT+ONn9ynseLDTqH+xk8hF2fvoaKbthlhbevzkfZxiIPsf136rezndBxSi1cSJc/BPHhFiALtOJQrcZivAXCv+G+s7Q8SPOHFqYYl21jd3IvyJW6Fn30B0agSPOHCeYlDfMzZmZmjYnaS4nc+jBxbgn/RO+ftD570UoKzL0CNLso44hBDPLYx7Bz9KKBj9VMkQUikO/8Gwe4FWToW/F8ggnsAGPdmAZhpZl85S204RRM7uhdoBVZGR5GlEqKPsQik/hIwHPBQ5luRbacquWoX0GbLGt6HVf9DZl66Ugo7vAdn5oup2Lbits4tV+VCSqS1HGktByy86DrcmU9jNa/PdF4G5nqbD9jcakqesZRSyKCzq2xQejZx6Ym5qldhMilHxFj13+HZ+ku+6Z6JsMdzzcmKN1Oa/Rfsmf8EWYXwIYh35ep1oD8nmrbgWHouRVvPsRnJDlpQtvPrdFUqNn+VbJe5Kg7NJPbxCisplXRw1ggVqGqu/iJzrZTbfw/zMdUg9Bl997MZefez003RKU+l/rYvEj7+wlxDWY/cqwPCBzek21RavcjZe8FQldocmuz7bqbw+29jb7oz11j2PTfgXvljxM6HW/NaoB1r+UMvp/Ke5yCmd7fGWryS6MQnIvOsUvfSNyyoc3QPetF+hspJyRLtjenmwL3+VxR+83Ws3Y9ke/MMFqr7o/dCLjRquNf/CvfWy7ruVqOLdVKUoyngEEM8ljFMHB4lGJehQvXLOLvfQSH5YvXjfH8E0+DDWwnWBADj4i4AqvXpzEFaGlSJEGQj+T2xY/U3I1QtU4AmpST0ziZw9AqZWdmP4yYiuBehZjMFVu2Jg3KPQCk3XdDzrcOQ5SdmDvaklNjsxGpeQ5Bci7KrBw+b9+ejKglBtfIe/EUfQAHSWkHsHY+yl+UaJy04qJ3Y8cOp8Fv69+OEt2abSzvCuzv+2y6OzuvQ5Qgfe/ZbFGy9wYh484wFLrG9BuwViOaNuJP/hF39ae5xomB3Mpp+bka4CQDf355xHq33M8l6sfYthL+BYng10NI4ZJmXUiqlKnmOSBPjmlyF8o5Nj8lyfnMTGQDPkskYe7KdmEGXlf2FwrnjSkpf/yfcG37dtjEZN6+1a7d5GeqHn6/JnfunH1H66ntx7r+ltTENNvPRSKydm7G3P5RNL9APvfolJBWHfA3gegiaAe9nX6T41X9E7N2RaSj7gdvwfvYf2HdePW9fytnPeM38p7yS2ju+SnTyk+aPlUdLAH2rF2kn6v0wlvXQHbiXfrcj+e2FfuLvIYYYIj+GicOjBLMC79oRIHBHNVXBV4tzObyYlUl77M9Q3mEAjJW0KHo68HJQlZJxnDKRvR7LstKAJgp3IZQWIg8KiKTUq7eGzlFKxdGP4Oz9EMK/I9M47RoHnGUg7DS4juzDkOX5X2L9xorsI4jGXkuYVkL09Y1r2ZxFeiFwTiMcezOqdFY+7n5yal58F4X4+jR+kdJHqGqulXSAJus6/h9Klbu7dksg7xCXzqeQBHtGA5AnMYrtg/HH30s8/mqwxlDOQShb61uyjqOUIlRJM7OkJFNMGjo0Iyt3YtSq8tUAhT2m3XiCWOQ6P/NsF5xWYtyIbbDKueaUVgvDa7FmvgWAa+lAsyhuyHROBqmFatvKPlGIqE5BbSbXWK1gv62Pw0J7Qpix2oK7hYpNRdJfop3rnwabOQW15jzar5eY2YP30y/g/f5b2QdyC8x+8BfU3vuDedsB7Djs6dYzb059Alj3pt/hXfk/iJlsCaW98VaKl3wWZ8MV83fmbGimlq0hPuzk7hoSM1bW6kWfc5TLDiReeyyqnMGhSameTe4AnNsup/TtD+LedvngseL+Sbf14AZKX3g73i+/PHisIYYYYqhxeLRgqCpi4nVEiyWFaiJEjnUTtqxIKw7t4uixE4A6M+FYbo2DbTko4YGSuIliNxQHgjW4TNseLBneuFmRjVQZ6R6mefcyY+CYXAcjHE51AG2doLNAKYWyV6BKawkS29Jy0v3Ltw9Jx8oqsu0VYOahuxg7VuzlhKLc6hztHELsOZAjDlJK0bCOolMc/Rvsqg88I/M45lmy7QJy7BV4jg6uwuY9iGgJLFCuq4onERVb3u15eoKEainQxHE0VcounQZENJUOYvL0hDDnJ8ZfgfIquJYDTOXuHN1MKjDF+C5K9hEANNpclbJ+5tLmjVYVIacB8JIEqRHlvNbdtAS3Xkr5C28nPPlJNP7PJzIPldKL2ldyFyi0brz2wzT9RkcwqJKKg8hZcWj1qWhLjhbqhNRlLFGbpviTzxGvXEvwpJdlG8eyUMvWzG+KZ1mdImRj6dkPfWk8bc5KWWCC4S7Vi/qbPq0tVEezGVX0Q24L2z7nGDzn/xA85//kGkdZdndnKNNTIktyNIDyZM1M4t74G13Vesars81viCEewxgmDo8CtF2p/t2xLbCKFBz9xyuI8rkFtZxZWn88x4r69xlfIUS2olGHo06CVDwqliLsMkLU+wZphqJRiK4m8lcCB6QrsgGriBf/PQAirmesOOiTs+V2YFUqalXxLIR7EeKATJQnaAX15jzLrg1IgryuSrLOyOw/oawRGt7b9LhKgZK5RM3ptAtHEzgqTdIkBYRdBgZfo3bM7bUQxw2EnEXY2atXaVNC01k5Wd0PogihdCO5rAE/5O8j0Q1mdd9oQAppxSHf+Pp50r+7ThmEi2ur5D1ax2SqOBhXJbtB2dVuY/UwQgR3otyjcmscrPJZxEmLd8cpAhGT4emZzw1oW9lv+5O90D4OpnN0u4tPSlXKOVZpBDWXG26Cuma+xEHMaXAHC9Q4KNVqPtc+Vkq72Xc7UIDmi97Ow1u2sSpj92Y1uojw9Gd0twbNzf/vrZdQvUTTPeD+6X+wNt9DePZzkAcfPWdebfauWWA7utqwr7SgAcF+nuS0X+VCjzW0Yx1iiDwYUpUeJcx1iylGmovpBzO5AtmU7jDzCS1ABcYSV6WZpnboyRI4GlqQQx3ivQgh0iQiawMwE3hZcpIw+WOcVhza4qgs5yelRGF87u9BCJEGj1ZwA87ej+WakyO3IJrXpoFouYs4Ots1j7DUHiypKQNedAOFPRdjz3yp4z0HYa7VrJUEwXHbdcojjo7jzp4WfuHJxKMvyTVOK3mMId5DIYl3GmI9ys3nzOOEt1LY+w6smW/O25f1mWwP9h1LPzMmEfWjVuUns5HAnOTYjjdjC4VSIFU2qpJSKhVHu+XjKbo6QGlGNsq/NydVKUnUnBGwdYUhKYTl7hzdEiG3BcIpvShnIBzPpxfFq9YTHXoSqjKeb6wuSOlFuSsOXehYC9E4tF+r9uRzAdULsXcHpc+/jcL35/89Cp94EVuOfXJnAtYHctV6Gq/9V/znvGHevtwJ0n60UHU2XEHhD9/G2jVfAJ13XrX3fI/ZL9yEPOCQ7gfIOFtyqiRyZKL382iC/SzJabcKW/tbFRb4vA4xxGMUw8ThUYKxGvUaP0Y0/kTBrgKaqpQncUj51raPuV0T8pcAzCbiaBgcyDSTZVSXaYTUdB5TxYiieiqO7hekmSA9Kj4OH908ymgc5iYOWQJHqZIv9cTOs5DMpxmPo5w1uQStdngj9tQX0s7RZl5h1ETQco0aBEWFmco/0Rz7u2SLpV+v4pxUJf1TEIGK0vhFxXuwonvz95Zo/qHj/zFlTQtbQBLqqt04e96bru6HsgCimEuboGQdS+7lwb2CN/1oC1s2vg976nNAdtG2UorYfxCAgtKi0DJa+N/09yxAw5F8VvzfQrwHu/ojCkkDt6x0JS2OTsZxPSzbpuTo/2u6WPaKoUlkursq5azWdONpm4A1zEcvSvn/bQFv8Gevp/7OrxEfm62DvEHxWx+g9Ok3IXZuTrep0UXEK9ch8/ZdiOZXQlR5jPqbP5uLipU2GHM6A/oW7SZH4lCbxr3pdzh3XJn9/ReCvFoC44TUpdrh/uE7lD7zZuy7rsn23n3cntTYEuSyA1vdlfcB3m+/wdjrTqLwo08NPrhYofqJy6l+9Hddd6scvRdUsUJ0xGnEBx3VY2LDztFDDJEHQ6rSo4S04hDfh4jALT0FUPhSB3tRNNj9WymVBntiydvB0WXjMU+/dtrXicSgTrZSyjSRsZ0KMgnIDFUlCrYhIgtYO3A+UkrcwjJCVQVkukIso104O/8eWXk2whnclExKSaxsIEK5+g+68fCvipOJF58HGa8RgLRXE3q6y6klWpQXOXsJqOcihJWNKy8slLUUaTlAk9A5ifqiL+B6BQiCNHkalESYxKEU/oFSpHCsPwMgDqexwk0otSZX9+hAdtJBTFCaVU8A7b08LJS9PF39bm+QljVxCOwTsRcfx1cvc/jPGxUHuYfxrnP0imXW7sr6+Y6SOekHvWQS7DDKbe2aUpXCW0GdgHLX4tlQj/T1cjJWHNLEIbk+JdeiESlqHEaJ7OJv89n1otsRfglVOE5X/PCo2L8DnjtwDAO5dDW1t30xFeUCaWAs8tKL9qNDk33vDdhbN+K/4C2pDiA+8nRq778k91ipONrppFBFxz0u56Rs/Kf/5Xz+v9tGu1EqW1flLkLydGobrmDVnTcjDlmdTU/QqGJN70IVR1ATyzp25XYv6hPs25vvxr31MqLjH0/cI1buQB+3p+BpryJ42quyzWkATLUsq9tT37FyUJXkQUdSf3tv4XNeF6ohhnisY5g4PApot4YUo89BFscpqDFgmiASuWxG0+DDcSHRM1QWPxuoMRNWMo0VxzF+MiHbmUBZFrZl4Sae+YGqIKzBq7vtQfM8cbQEoeqg/I7ju83PBF0m9jJ0nqKhqRiRawYnHDMnVTyDhnc2MIVnt3j8gSwjhG5ulmeFP4Ww0uuey3XIVByEjRIibZTXVItRbhFymtfUnCfSLo6Om/dg1XeDyL5CnDbc85YTL/lHCjv1TfTDGUQ4iRBLMychwiqAXWQ2aAI+k9YziCeSQDZHEhKItYBEOJqX7RYSMbJsNWPKXFExn7mRp4C1CDnyXDxnCnyFH4OblaqUfOiK8h7gZEoe0IBGEkPmdWcqyrsR4Sixewy2sUCOcz6LxQrxUWd2znWBgubmK99H8+Xv6dwoY125sOzM1Bv93r0tM/Oi9g/f1YF6BiF8XxTK+C946/zttoNyXJ1oRUFnEtYD3aozBt5Pv8BRD26gdsYTiDMkDs7tV1L+4t8SnvIUGq//t459ctmBxAcfnc1xCJ1oyNFFrZX39n05bU/3p11p+cOvQDSq1N7xVZhLM0qrKvtBY1Io6aZ8ORZf+o0FDCsOQwyREcPE4VFCyicvHgmuQyGJavw4e2AVRVEafLTTHcZL+rbNNLP500spCU3ikATUQog2V6XlKHcMEdQGJg4AVrCBKFoOFFuUIJYQLvsMCA+Roeuv7uNgdAAhllVKqUr+4EJD5ziJRWw7x9219Nh+6dkIu4BS1Wyr6fE0Rf9niGgRTc7rSHzyBMTmMsrSk2k6Mr1O9XgcCgciwmzdtc17tYvbIwlxsAXRvAOr8vjMgu3WGPo8TMUhCJuIeCuwNHPFAfT1qAf699mwAFYl3Z7FDUkpRaS0iN2xLGzbxvPGAT/td5I1SJdSts6vfBJY+vVu8hcuiEB4g5NspVTSC0RQ5GHgZMqGqtTcAazKLJJPXaxKx6G8CkopXEsHq7v87HbDPeEuLHFAiHkr1YWffJ7Cz79I84I3Ejz7ddmHiudrL1JkXdVvn1e3AP3nX0LUprU2oDg/UM4DuXiVDpTDbIlDL9oTkDvgNM5Eqsv7Bs++mODZF2caBzS1LPiz13ffWchHe+rX0Tov7K0PIBqzXfepHJ2jxZ6tVD7yF8hlB3atFsTrjmP2P27JXjUKfX0PuzxfqlAmOuI0VHls8FhDDDHEUOPwaKFFC9H/L6A53H4UZxbrRlGUBkOF2ndB6rJsJVmZr4fZvPzjOE5XwF0RJJx7kWocwozJTCqO9m8iSASZZc9UHIQOHIU78PzSikNyPoWkUZehKkn/Hpxdb0EgMzvhCMJ0Tp5NmhQFcT4LTSGrFILLcPxrEEJgyV14s5/tKgLuhzhNivT7VxLeS2NBzdZaQX+aqNmHIctP1nPOuQLuJPGBuf+BGkE5B2e+RlpTcif27DdoNLWIfNZvvX9WUbOmKiXdrE2359RVKbl+GalY7dW5joZr6XOQTVukxdF6AK+kOwyXHB3oNKcvm3dsP6QN4IpHobzDdeJgPnMyX5BmbXuQwg8/jntliwIkF62g/rqP0XzJ3+caqxtSGklOvQRdnJDE1C5G33g6I+94yj7PC8C79LsUfvv1ngHpPDRr2HdejdWlc3XtAz+j+uFfQcaV/ZQG1jXgzElx6aLheDSwP4XWzo2/YfTN51D8yj9kG0v2EW272R2aROBjTW5HTO3sfoBlZU5KnZt/z9ibz6b05R6fE69I/e1fpvGGHDqaIYZ4DGOYODwKaNcmuOEtIGcoCpM4tIL0QcG+lDKlBBWjWwB9vBdehy10oBRJ+gZpZp9Meia4chNCTmHbdhpAhrLz+F4wK/uqcDyB1F+a3VyVBsEkA2nFIVkdNroEP1YIOZOe76CxAJzZb8COd+pztFsVmihuJVeZuPLWKM3ChQTFp+q5iRAnvBUrvCdXAmL49sZFN6UqhTEi3pVL9AtA47JknMRi1FqDKp6Siz6VrsjHm7CnPpcman5cBPfgXEG6ox7BblxKPdDJX7W2Gav6IyBfoiYj3SHaFToBKVqTADQTAWtWhyatmdG/u9E9oCKs6v9QUNsAnRxb1mC6mlIKPxHYe0Vtm1nx9J/JWrwkPb9BUEqlHbkdu5WUL1Qcbe18mMKvv4pz429bG4sVolOfSnz0mb1f2AXFb3+Qygdfir2xrYP5PneObm/aVkQEzdwuNeVPvI7yh18BtenOHTkDYWvHJiqfeB2lr78v1/t3hakSOF2qE6moNuN5mqSs21igy5R59SrdYNyjMlZC5NLVxKvWo4qVLnsFojGLaNa67OuCfr0q8iRacRf74QVikB3rEEMMkQ/DxOFRggkcC40fQTyJ7a7EEopYWUg12HlIStlRcRATLwGhvxCseAflpHlXY8D3TCtI17daN4BzOyoOUTCJVf9DpiDUsixU8RRCqQOFchJURXETe/pLiPofB1Yv0jkJveoXe7ors0kc6uoQwqWfRCTzHFQF0RfIwU+SGddqrTpHtWsQ4cZMgaxSCqxRwuKTiLyz+N1GyW27FtOovJ549BW57EGNONoL/4Qb35GKyOtBiFX/lT4mY+KglCKK9JdtwlJrPRc5rGYNXc0VTZCTHYka5LNRDe0jiUdfTj3WWoRas4rVvC49JkuiJqVESd312KWGEIKytVvPKQmyslbCoHVNivVvgQoAC8/WczDVlkEVLF250O9prs9IQo+ZsZ+YzmnQNVeq1cvFU9sgntbGAlbibiZu7/narhjQ/TYPrK0bsR+8vdORJtVL5Atcu9nEplSZZr0lZMoA+8HbcTbeytwGmSqnjWpXkfUCoSoTREediTzw8Pn7ikagm5GqFBmq0vx5uZd+l7HXnUjhB/82b183FL/xz4y886k4t/5x/rxyahyar/4gtX/+MbKb61BeJ6p+QXohx/WKB2hnwoDK+19E5X0vyDxWXw1Hs4aY2tV63yGGGKInhin4owQTxNil48EaB3sRBWcvjRBCaWWyPoU2C83ySalIVxZPo+w5zIbaMWa0T1CcWqia+RTWoxL6jBEQh9ICFQwMrtv3tcTR+mcsY6zmVYAA75w+V6Y1pzixY7XmrMr70gF7PFPQkVZUxl+ViFpn8GzRqjhEVZCzCLEqU+KglO6NsWNW8tIfSA5fKrjuDSfieAWEUtlX0pOpO2oPQjlpZaYReShrSe7maQ3n8UCLyhOH04jgERDr07kPgqEF2YV1xGMX4yUvCSIF8R5EkshlcUNSzsHI0pHU41kgYiY+gHjkeUC2iprZH7BKz8lZrJNZV4tMm3ExHWuQQ9PcZ9zyDgfhIivPwi3UAJlS1gZBSokf6Ye7wHZgbatvip89CG6vOBSbP0P4x6GsM9KmdELtyjwW0LZa3RZIKYX36/9C+A3N/8/6THUJylo9IfJVHKLjH68TkPYg3XY6uyqbwH/gYF3OkQVQb7p1oE5Q+sxfYW+8lfqbP4dcd+zAoeIjTqV+xKld97X6VWSkKqWN97pUHJKgNivtSczswZrc3nJXaoNcupro2HOQB6zPNq8+UDnoRcgYoZQWLXdxaJLLDqTxiveiMtj0DqwSOC7W5nsQSulr0K8JXwYXsZF/uhBr9xZmP/Az1PJ8PW2GGOKxhmHi8CghDWLGXpiKzgq2oBEqAgnugNXdNHHo4gWPs4pyYRpqkkaoG8L1Gitd3acVpJuxXePjzxiy/FREs7fbRbsglngXQWwDIq04hLJANPYasJcPFMeaYF/RmTikK+DJd0YWV6V0TpDaaLo2eMmgTfd0LfzOQA1RSqHiKrbczOTMKIpFPDCpOs7dCGNLpf6+5kbjEBfOIbRdKrZO1EIpaBafiR35mS15AUJGgDDVOMT+Pdgzv8Ra9KHM1ZSUqmQXwBmlkGQ3fiwQtT8gShdkCtLNtQCoB3rQ2bCCKp6RHpdZd6HGgRDL1jbFheJyoE4zav1pykIv6kgcFr0ChH7u5mpd+tnpmvfRWpkC5egaYC2jSeJgdByZDQmM5sJdDvYEMpa4CS1vKhgctLYjFSG3B1JCULjks4goxH/mazNz59MV+fbjF9gTonHxR7puV8Uyohog/HqrYtAPSvXWAORt3NYncRCNGlZ1av80+8opQm6Jo7voJdIqQTbHIXNct7HiY8+hfmz/xZvON+8jYk+TtgzzGtSheXQR4eMvzDanQVUCITRVzK/r69+VZpVtXkBH9+gFeO8NMcRjCkOq0qMAKSVhEpQZFyOUTyGhTRidQxbrUyOwLATXd+w3K/2NsP9YJkg3q/tOu6uS1RJHI6y+VJX21XimvpM2bzM8+Vg5yOLZKO+wjuN7jSWEQMVTeoz49mSsZD7RLPb0V0BWe12eFFJKPSfocKBK9RtqFKxyJhqOUgor3kyp+kmC6qX69RKmp65B1DUlILMOwFjNOktRQrt1lNJ7plK+fWarUWPtmVzvkAmUe1g6zqAkpP1ZMq5KliVwEvepUCzKJZC31XaEfxuNpPQ0O2c1ftD1Nu9hdAlmHmnVyfQvyWHJ2+pC3dpnnikjju53fmacIHF0cgt6ZXTMS3Qce3/TMadBn9/UVWn8uajCCUgp8ZLJNeK8zdG6i3Tz+Nmn6NI5OhVH59U49ILXRlfKNKdIr1Zb9rzV49z2ooY+5c5fYW41gctoCerXteaiS0LlP/v1XPr6rxE867WZhgoe9wJqb/8y4enPnL8zd3KUzD+LM9QAjLz7WYy+8XTE7i3z9qlcnbsF/pNfTnDeRfs8p1zB/oBnLIvdbO7q0RBDPIYxTBweBURR1GpGJZIvgmgnBWsK0CvjgwJQExCn4uja19veYDvlpFFWfYD1aRqgGb51dEdKS/LSzsGDz6k9yA2EFol6dsslxrhIweAV2bQKIvUXvM1sonHQ+4MowmpeAbI+MGg019Ca/TZy6huA1jikjlFtWoB+czL7YlVAukcxEx+Qbp/c8xvsWe2qZNs2cRwPDPjN9baS+QshWpasbcleJhcj6SOD+4G2xME+jHj8tWkVJFfiIB9BNK8FWoF10zs/c0CslML1L8eZ+gT1QAdUs75E+Lekx5nne+AzEGshrCv0l78jJJbQ5gKxzOYaZpLj1I43WTwVwX0U5MNAi/LXD2ZOfqLf8UZ0j4wRr7PikAXtGgfXahPxp/TAfFS1npxv4+OfJ3HosrIfrz+BxqveT3D+S7OPIyVi9xbNDZ+DNKHJ7DjUm06iFq8gXn5Q9j4DYe+KA56h3mSbl/eH7zL21sdRuOQz83e6Xq7eB2rpauIjTkMtWzN/Xw6rUmhLfLqdYxwhZicR07uzTcxv6PftMlauRMv18F/8DvwX/233/UrhXv5DvN98fSANVS5ehf+MVxOe0SXJMsiaNGfRB6XVo2HiMMQQgzCkKu1nxHFMHMdJIC0oTn8EFv0TWCUKtv4DFiQOL/284E3QlQZDlRbPVoT3URFF4FDqYf8kZN7Krmhi8sVU4xBLRP0yhHN2+pq5VI50pdm2aVReCkzh2qIlQpYK0bwBYZXBPapvwG+2S2sREBM7xwCtILYRV4jGXgXWCPQpHJtzFkIgwk1Egb6entOmcfC3IAIQYl0mGo60DyKsvJ2pzQ1Ml7bN/lkcU5pK38sE/P16FBjHKCe6G0suQohxSnYIuAST38U68MWZex2gfOJwG7C2TRzdui4mmekHpVTadMxT27D8+4iLZ+DZghoKP1aU3Rzib3sV0juWRkIpqocWTH4eVv0HkE1PACDDLcBhFMROhFiCUA2KdkA9KuBHWtMxaE5mn7kmpam/g0UfBTmLJ2rAAQSRQhiNUB8Kna44dFbTxkplwGfaOi89tyxzCtMKWIsiZZ5x1E5Qa8i8duOVkMvWIOc0GksD9GYtM8Wim3hYLVtD2CWg7TtOfYbRdz0DVR5j9lN/6tjnP/M1ek5jS7ON1YdeNK9Z3aCxUiekPpQgPyftaT+s7PdFrpV90uSoGw3MevguRj74MuKDj6H2D98ZOFT6PHjzz1GNLqb5/LegRhbN25cbQlD8zocRUUBw3ov6al/U8gPxn/+WvsOpjElzdMJ51BetRK5c22esYcVhiCGyYpg47Ge0Egf9f9tJ/MLtpXgFF5AdlqzdkAbWCJRKNAATr2odYK+kVNArkI2gfxIyT4hcPBYhnI6KQyQtRPAAOGf3DfbTKkjS9Mu1wE24WLGMcWc+h3QPQy46uuM8uo1lWVaiu4ixbE3lKaYuPy6qpMXAltXINKd49GU0Ss22eRnHqG2IYBoK6/rOqX2fEIJq2+ry5vB85FglmY+VKeA3MWUhvhVbHQMcQtHVGxtBkKvXgcLBT0TQ2p1Jddjf2raN7/dfEeygznhrkEUdCCTtJdJnMmvFQZaeSOw8hXq0N903a53ESPJ7Fj2BUopQjQNgWaYLukfRaVCPdC+Hkpt9Ti2qkn4mlbsOt6Arc36SrIOuCLrdaCzJ/TAuU+bajBb1LzN+635n6Z2iqwqK4uynEP4zUOrA9DPniAeAA3q+fi7Ccy4gPOeC+TuK2egaHWOd9nTEzB4ojQw+uB+6OSqZXWc+K9dQyrIJHvf83lalORCe8mSiw07urvkwCUBGqlIrCZl/jvZd13LKDz9M4b5z8V/4NwPHcq+8BGvrfYRnPBt50JEd+5Sbk0JlNAfdzjEv7ck4JnVLjkojBM94dbZx/Ab2Q7ejSqPzzs9AFSv5tC99kJWqJFetR64aIBRPrXWHicMQQwzCMHHYzzCUkSihIoglb0v3tToj93fnaQX7SWVgTnyqvMMolatAmFYcegVpJrA2q7GWVQDRChJtoZOKoHhe32CvPeAOEtaEa7fZnkqL2DsZXB0M9bPjNOdtAj2RrJWmVKU5LxtEd7FtG5yD8IUP1HXFIZmXLw5Aectz8feFEB0UsG2z85ubxXHcNfg0MBUe6R5BLLSLUjH5Yq4WX5gmIGEYUij0DpaklEjlEVprgDClKkWNe3F2fIFoxZc67lu/czPVK9s7AFXQiZCugjnEU99FjL10oI1qe7KmlKLeRv2eKl7ckTiY43uNo5Qisg8EfISj75HCpeCWoalotiUzg6yLLctq0ZGWfTA50UUUix4QUAsG9/Mwc/XDGlCk3PwB8LLUVakadIqj+10jaBkkeKKOSl5nKHT1KKfGodd7GVFojoDHf8Fb52+sz+Be/TNwXMInvDDbQPvRIpbyKM1Xvm/fxwEolFHLuneYTqk3Wa9Xlz4VBsKvM75jI+G21ZmGcm67DPem3xOvP2F+4rB0NY2Xvwc1nq1CEz7xxUQze+ZVoKBdE5LhHGWMiELthLSP9rXW5DYqH3s18cq11N7/k+4HFUpQ3au1L13mbiCmdmI9ci9qYjlyzXwrXIDo1KcQrzs28zXrh9Rad0hVGmKIgRgmDvsRJqgSQqRBg1n5BvDahJ/9AqsWZSJ5nQ3IBlgtJ59SR/folr3r3FXwFo1D/79dOCqEwLUFcQSBtQ6X3jz59tV4uffLwAtwrTgVIUfKIhp/ow6Ie44yZ5x4BvBw1HaEWNfmqqQQzZtQ7josq3sAYM6tXRyd+ubbbRoHsRLljSLiOJNewotvwdnxNfzai4GTAdg+40PsgzWBZdmZNAUySdSUdyLS0jey7FqApBHrL+gsQmszX3NuRdOnSwkEESiZJiGDEoduz4CxB/WTVccsq/vJL/ix6KDHVOd0j85SmTEJrUn02rUuzYxdtuc+427bCY4bK9Vmq1dFr3tnEoogShrAmYpDEk/NVh8GddTABGQuzVAseRuxbaPCMBVHz4aHgNj3P79qdDFyfCmoHM0Eu0A0apS++2HkxPLMiUOrh8P8gNPeeCvW1vuJDz0ZuWrdPs3N++WXKfziP/Gf/iqCZ128T2NFxz0ONbqI+NATMx1vKFSqy2p87s7RfexY1eii7AkbEDz55b135nF7ap9Tj4TYufkPiPqs1hv0SxLN+7l9KEjFli6hH7XOufs6Sl/+e8LTn0Hjtf/a/e2e/Io+I7Rg33Ut9sN3ER15OvLgo7uP9YQXER33eOIelZIhhhiihaE4ej+iPZCdF6TJBkWpBa6m4tAr2JtLL3JFDWfyn9sOiCg7+ku7EXZSMOaOA52r/658qKOi0BJrZktm9Cq5btrVKY7uPL5XAGrGsSwrSRzA45F0LkKgz3vvZxHhxnnn0uv8RONy4rruhOvaouWq1ObO048a1NoXIwipBa2gbtfUvbi73w5yKh1rkKYgSsopxsFICNHWPVr/zKJNiOMYVJMomgVaDeBCez3h8v8ERLr6PyjgNxoHh2mIdafmQkJ1aJReDAxOZsw1d2c/T7D1rzr2zfphGsBmvd4mcTCuSgDFNvpU+1j95iOEaOmBjBhZ1hl3NgMw3Wy9vlviYKpIlmXhSx3cuBMvAmC0mAT7zSa0Jde9zs38HWglMkUUdkfFIYshQTsK//PvjL7lHNzff7tje+O1/0r1Y38gPubszGNZD92BtfmeDoGqqVzk4nhH892ZDNwrf0zp6/+Efe8N2cby61ib7kTs3Dx/n5SIZi3z3Jwbf0PpC2/Huf7X8/bFx5xN8KyLidcfn21eqQi5S8Ccp6EZ/e1Y9ydafS8Gz6s1p95Vz9JX30vpq+9BNPq73KVjddFKpHMzz9mgTtRJErKvdCYA59bLKP7w4zj33tjzGHnw0UQnnY9akp0+OMQQj1UME4f9iHbRrOGTe1XtxoNwKNj6j2EQdXLA58IEVXEqYpYoq+VTLYJ7GIm0XWg/CkZ7kB5JHfB4aqseI3mNmwRsUeOOdHu3gMhUUgAalb9M5mW3aRwAFYHUfNNeQXH7OcckDceslel7G155wz4ZrLGBQaNJZuzaz4jrV+tztNua20VNiHYO5O+nyZp7KuHy/2BatQKLrbUJlLUISJIBxxkobE9dlZgGpY8tJd2+m7O6w/Ig5yEzlq12EzXvT8bQ22Np6V4FyXllcekygWwhvBGrcYX+Pbl/viykc8oitEbFNMLOFfPGjo8jogfTcQwVqxvipAIkm3cC4KlNaWWiZO0EoNnck47V69ziOJ5Hx3Nnvk69XgdZZRHaPco0b+uVZJlxbNtuaRySh2gsiV2mo1VAKxHsdd/SioNp3mi3dD1umjjIfFUCv46ozyJUBnuoflCKkQ+8hJF/fmGns03a7bk20PEmRY+GbdAm2s4YVNtb7mfkXy6i/KV3zt9ZyCccth+5D/fG32Bv2zj44EFIbXB7Vxwy08T6NYCLI9zLf4h76XczDeXccin27Vd2v1ftGocB91K5BRovezf+897c+xhDhxsY7GewiDWC5kEWqmni0Ltfjpjcjn3vjYg9W/uPZexY9welboghhhgmDvsTJmBQChQCgcRJO8Q6eKWjAPDj/jaTKT3FBB7uGPHif2gdILw2a0/V05KzI0iXdvLSTtqAayd6g9nfpkFVt8CxfZ5hwmTvdFWCwu7X4ez6a0AnDlEU9U1mpOlU7LTcXIxAulZ5Pco7vON13eZkqi2y9Hia9vHJvFo0k8jfgl39YXqNgqC7T306L9sB4VENWh+NLbWVRMs+DvYygL7XyczLNIArNi/BVjsAKDn6/jQb2iJ0kCVr6gJlFQiVEZAn5xV3Xg/btgcmIOYltjOOsjUv2JujK8miTQCIJ97MzHhn86/ZoASqJe40z0C3MaIo0pQ+o+Np+0tUtJMEKwm0+tGLpJRJpcBGKf2Zc+VG/eypIqMVvYJoqEq9zs+YGti2nVY6UnG0aQAXllN6Ub/k0dj1pvSy+vcRUtvOGnG0J+5GqKmur++GVgO4fQx+2j3trbaL7ri627OS2YXDKf+/C+UqDaozirYNJahbEpKzjwNdXKMMxNROnJv/gH3/zZmGCs5/KfWLP6rF1j3nlbfi0CWwVorSN/6Z4nc+PDhxkzHlz76F8qff0H2/ZSf3UrWSu14olAjPe3FfmlQ7vagfREJ3VAOoSsorDu4XEg5OQrw/fJvKR1+Fe92v+o+V9i3pTQ20Hr4L72f/gXPLpf3HGmKIIYYah7wwwXA3QasJ9GSSjzmWIB59id4pBAXXBcLUwabXSupccWW7TkJKSTNaTXF8DdCkkYh4bdueF8i0i4cjpaMgyzkAs3IOpE3gAvtILMtKHXqKxfl//E3QFbStpLYnDgpHB1ZtvHsTjLXPyQT8xlHUTpIoaAmkTQOw9hViqy3QmbtqLCvPpuk0gKauOJgeFaqIsrUIz3VdfN/vKf5OhdboSo7BjqrWLFhp47Tu55bORUri5OSENYpCBzBGHF2zT+kYZ5A9qHBWEdiLgajVxyGaxp76GvHYq8AaxXGcNGDtJd41gn27fCqqpIMBz4oAQTh7OXB+Op9e1yi9D0JoC9Y2TBXf0EFTcByHIAjmjdW+uh86RwM+uGtb9DlPV6CaSic3Jinqdr1N8ha3feaC8kUQAlaF0UWPB2ppxcG8RxRFHWOZRMayLPwwABxK0Z+AJ8zrHN1vTu06J5P4F8KbQD0BpVRKVQpiF/L0qA27C5Hd33+bwq++QvDEiwie+ZrB4/SrEphuz4NWlhPEq9ZRe8vnoThfh5S7MV2PBnd6m+m9kNFxqI+Fqr3xVspf+BvCk55E49CTBg4l1x2LXNejy/dCKw7dVr4dF2U7enU8Cvt3Ac+gS2i87qM6CbN664uyIqUXDaAqpfenD72o8bp/60xYe0BkoCpl7RViql5phagL7E13UrzkswTnPI/oxCcOnN8QQzyWMaw45IRSimaz2XUF1HCkU661LcBZle43QYOhQjiO01cHYJpEeW1/++M4JooiComotZ5833brRNxNrG1bncGKY6gqxacCOrgOw3DeONAWdFUv0/OyJHYSTEsFjcWfJ1r+WUwXauituwCIpf4CtGmtJKadfkMJqhXc9aqmtAdt7Q23zAp2IA5Ajl7UcY16UaiklDjh7dhTn6XpT7bmqWBXvTXvXudmoJ2QktdWnoe0tINOydMBQ4ODOsbptXJtVtM19U1vM+LoOA6w/JtBNTvG6nVu5jygpQGQUlJw9EULGhsHnlsYhh0Bd33OtKtB57NlEuO5z3gURWni0E2wXUgCKz+2O+Y09zqZ69P+fDu2IHYOTfcbcfR0W8VhLq3PzMe8T0pVUtsBGPWMwFqi4lo6JyHEvOvUQVc0yeP4i5BiJDEj0MdNh0egrCVkRpduz6ArEdbUTkR1KtMwoo8uodVMLmMgXB4jPvYc4i4BeNZV6nRefaoELc5+1s7RfaoXC+m03QOqNMK2Ix5HmNF6Vi1ZqRvZFeYnWkAr4A4HnGefnhfpISc+kfjYc/uusgOImT24V/w39u1/6n1QUVeYByWUacWhj8YhS9IAtITW/cbKSHtqjdU7cchbPRpiiMcyholDTpiV3bmUF7NK2ysYAigqHZz5bRSMboFsy14y4WyrnVizupGPCZjLhqoU9OZut2sA4kTj4DKVJgBCdFKNoHMlde44aVBZvz05PzlnjE5XnV5VELNfhTow8+Q96X6TJMld78aq/aS1CjynT8E8fUi0rSXadkQbl7xzlRi6B+omABXxDiz/Bmpz7u+uzZ9FBPf1Pbf2sZTpm9FmfVtyjBNW/2vUfo7mOHNt04oDY0TjfwUJ3atfEmKeTSO2d2ytPajX62mQ3vTOSa+REGLe9ZZSEoYhUkpc18Wa/R7+3v/pOGZ2Dvug25zMs5XS69Juz62qRCoij1rPdrdeFSZIdxynVZ2b85kbK+hAoJ2qZChrYRjqfgvJT2Ov68d6Au6IFhx7jqBoR8RK0GjuTuckhJj3d8BQnhzHIUo+Qk75VBA6APJ6mAkMgujRM6G9AVwmpC5BXQL08hiqNJq9l0A/5PXF7xMMt5pz5axedAusTXUk41juVZfg/fIriMntXXYWuOvJr8d/8TsyjVV/y+epfeBnqKXd7VuzJkjpavx+aEpnbXuQ0tf/icLPv9TzGJMEDgrQw5OeRPWfL8F/7l/1PS4Lsmgcsj4XWaoXual1QwzxGMYwccgJE+w1m51/3E0Q0x7kuSJE+LekxxTZBkCQRBS9VolN8G8oQQWrgYj0a5VS2GovY5H2yTb9BnoFaS1qhv6DWIg3dLxXKiIO6x3jGEqPGbN9rKb3BP1a2+qafBgYHnj7qmx7MiPRQZBos5k1FYdm5IJqXacoijoShblWrM6e96Kqv0zm1ep9EbZdWnPv5gZ77Zx7VTyBaPz/UI11gzSToG2baYBqBWeO48ybE7RoOOZSWG1MgpKrJ9NstIKQXuOYsZRSWMEGouYmPYZp2qc8VPFksIrpuXVrBCilJAiCDsG21/g5ln+DTgKSZMq3Dk1f47ruvGtk7qPj6OaBIribRmNTxzG16Wuw6i2OsGVZ8+YUBEEaWAPETS2m9tjZuk6WFkX7zR0dc5p7nQxtsN2MwLEi7PD2VLy8uP5RAKabrYfTJGuzs7NUq1WCINDJkHn2EzvWQnFNeg/GCvrezYat4MPcO4P2hFsI0UHpM4m3SYxNNTEzou5Updwr6GHvAL323u8z++krkQcckmko65F7KfzoUzjXz+eYK9OYLi+9qEuVQK5cR/P5byF4/IWZhhIpladLEpLV1SeBe9n3Kf7ok1h7dww+eF+RtXGbOb8+q/HuFT+i8D//3j3h6RhrML0o8zUrjSBXrUMtXtl7Xn/6HyrvfR7er/+r71DN572Z2Q/9sm81J6sAX9muTjL6UJWGnaOHGCI7hhqHBcBxHHzfJwzDdJXSBIye5xEZBz/RRPi3oQonAuAWdXBmVjS7JQ4mOGpvaOV4q4hHtV2mDpwkI9YWQNuxmrFc16Ver3c42qSUikQcbdkT6Qo4GB9/gZz8NBzwbp0IJOeXahGSFWsT7IXOsUA1dVTSlqMKMfsd7MYW4rFXg7O81SQsmZMJ/tLKhbUSCJHO4fNWm2dH/xE52tnvoCPgNEG1KX3by/HlOEBHA7gw3Is9+XnixX+nz9d1aTabHdz09gAUZyXKWUkt3AvAIYstNuyQbFavQLkT6X0ycwqCAMdx0rHMc6AS951i43sI9TRgUeKq5NCs3Q6s1dO27XnnZsZJA3UVEspix/UJu+iy57oYSSnxfZ8gCLRbEjYQ4gpf33MpW65KbT0TjDbBvL9ZlTfXD0COvpjqnBiv2piGaKZjmxFIm+TMjJNWf5KE1rX89BkoWVPAIprBFHBgx3UKwxDP8zpoU7pyoRMDV9Rx/MsR7mEopRgv6eBqps2OtVgspucRhmGaUIL+fLX3T2k0mti2zUixxM66ZDZayoq2cwvDkEajkdKfDF1RaxwSylN0I8o5Cst22iph8+9fP4Rn/Rnx+uOQBxzauSPnCvp+E1kD1rYHKPzyy4SnPZ3otKd37ItOPJ+Zz9+YuTlcv54Qaunq7N2LgfiAQxBHno6cmN9kr1WhyUmh6qE5KO/div2AIj7wyP66hAxorzj0U7+0uln3SRyu/B+cjbcSHXsOcZ9APosda/Ml76L5snf3d0vKCNGsYm/bSDQ5IBErj6LKo/2PyfjsN978mYHzyptQDjHEYxnDxGEBMMFKvV5nfHw8DWjSFVbj4W97qMIJ6eu84gFAM+Vut68Sl0p6xcPQJgqFAqHUEYzjFMHRjj5SSqQYxxl7HkBHh+NSqUS9Xmd2dhbHcVBKUSgUdOJAGWhC4fiuVKVQFjrGMVUG3/exLCsdByAwFKpk9dT0TIiDR7DUfcSqnszboVwuE8dxGsDatp0Ky83icfuqfKpxaAuMTXJQq9UoFAo6OUsSkDQJWfoBGoUaEOBabX75sUDIvelYRsMxPT3N+Ph4ahvbrpdQSlFNFvUOWaITh231iY4GfCnPv15HCMHY2FhHZUQaWhDT6bUuJolBQ61IxzHzN9emXbwbRRHFYhElTiIQs4BKE4c4jhCNy1HeCWCPp2NJKWk2m2nA7vs+ruvqBCCxyhWjf0bsWggZ4yVambD5EHDEvHMzAXYURXheKzBS3pHU0J26ddoIM+JkZLkzUHQch2azyeys7kMhpex4lkL74OSCLmvdI09z/5uqFfgZulK1Wk3nEUVR+iylSbblErvHpte8csC7gSmm5yx8m3OcK7Y2jkqeLbGiTSi1NKk4JDqHOQJpIQTNZjN9fhzHaSXYSXJQqn6JYOLjelwj2s9ZcYhOflLX7elKacZAWC45gOo/fHe/iGbToLobj34At34uohPOo/r330ZVxvZ5XsGzXkvwrNd235lX0DxAT3DCTz9CaXYXsx/4OWr5gX2HGn3j6WDZzH7yiu7Xxy3qaxkG8/d1m1O/RCVnv4S+SUEX8Xs3ONf+HPe2KwhPfwbRCU/oeozpWL9fNCZeTgpbP5SSJGWQAHyIIYYYJg4LRbFYpF6vp6vp7RzptKmVU+pIHEzQ12hjkxietHGfaed/1xJroZG27wcpJZZdoFBYCfgdiQOQBuom0EsD61Qc3XkeumqgaI69tWNOJjjr5h4V+g8DS/CSsUzyUStcyMS4ArsVGJtAqlAodKzGAi1XpQ5hrP7pz6EYlctlgiCgWq1SLBa7Ouyk1C5HaGE6EDJKtPjd88aq1WpUq1UqlUqHow7hJqzwERrhEYDNoUv05LbNdC4RCyEYGRkhjmMajQb1ep1SqZSeo0xoVlH5xSD0l2XJ84CAmji6YxxDfYvjmFKp1FEtSu+f0uG5seGNZIQz819Ei96JShIHE7jWarX0OrcHsi0BsYcChJBpH4+w+idM4iCEoFAopJUYoyOYe72No9eSMuyuw2y0CJyRjmNc101X403Vqd0dK6ICBLhOKa2Eee4iIKaZVJDMnCqVCmEYplWC9rHMZ852KoTe4yD5PI14OjGtBfMtbLvBT+mBASK4HaWegJSS0eRjMNOMMH82LcuiUqmk85sLk8zYpZO1PbNoVcLyahx6obVSmjF4cgs9u+cWfvwZ3Ot+QfO5fwXemq7HdCDuTp9aCNTIBGpkovvOKNQ2mXFIdEY2IXLP9ynmC1wHrcjHyXYRNPp7ZMWRriRYds+kqvaub2YSD8vVhzH7sT/0tW1ViaB5UO+Ffp2x88J+6E7c636huy/3ShyK2TQ5hR99CmvHQ/jPeQNy9WFdj4nXH0/1fT/aL8mmKo+iymNQGhl88BBDPMYxTBwWCNu20xV+sxqa0lV6iKPHnV3AKDPNACil41iWRbVaTQMnE6yb1c0xexvCfwDptZqSldxEaNtlcap9LgYy7dDbqX1IKT1ycFBlEM/+Gnhpq+KQUJVC66C+ArR5VprBI8AK3HgjQuhzKxjx6PQlWFULOfIC/R5JABwEAc1msyMgNjBi1A6qUizA6vxiEUJQKpXSa66UShMly78Bu/YzaoHuUZAmDnu3IgJQXutLrD2wN6vOZhVcJk3fhD0OQmtfysk9a8wxLCqVSmlFpp2KYxJRfR7Jsa4R19rI4rkoq1XON0lRu0C+I0hP7X1b7204901xMCgJQh9fKBS6Jo3pezWupl4fB1axrJIkDn73Z6jbvWqdV+u5NJgrjm6H67od18Ug7nJu5jkfKwimmqqjWtALhrJVcATSOUjbugLj9sPAaqrVe4HW57CX9W0sVZoYs+h1qFpNJ0Vz+mZkhX37lYhmjeioM6DSSqjUopX4z7oYuWRVn1dng6jPYO16BDG7F5ZkSBx66C4AxN4dlL7wN6jKOI03f3bfJhZHlP/j7Si3wGyWxKE2AwK96j63suIWmP3YH/pac3agzzlCW+IwqILRR3eRIqvjkOOixpf2PUSVEyekgRaqg92LnNsux/vll4mOPYfgWRf3PK7lqtRHhJwxcbPvvRFn4y0ET35Fn7HKyNWH9t6foPK+F0Ac6sSs3D3JUGNLmP1UH2epIYYYIsVQHL0P8DyPkZERSqVSR5CV0iZECPF0un0R1wAwXW99ydi2TaVSoVwuUywWKRaLabBnAp1x634s/+aWsBjFmNSdf+dWHHohSjj7xfCPHcGOoRl1R2DuBQAAiEJJREFU48x3hVL4QtuJmh4QKd0pw4pu51A6grZEnM4pDaz8RxDh/M6vnufheV4HrQdZxdn9TuKG7sjs2SINiHsFaIYyZTQK5por50Ai7yyqgR7AJA7bZxpd5wM6mG2vgrT3qLDa3IJM0N+cQ3C3LItSqUSlUtEc+0SsawJk4d9OFOkAwHSODqVDPP5qcOY7tJiExpoTiKSJg38lxLuTQDaxCPbOTZOGLLCr38ev3gbAsooeo9qYQtT/mHkMgDjUtrcutZbOxdafj6Y/0/N1c5FaIIsYVLPlBDbzVcY9/RmcbmZJHPTPgltEecemYuyRgn6DWT/bNQrbdBLtnzfzmYlyUpWK//Mpyv/xdqzdWzq2q4ll+M99E+HjXpBpHGvrRopffx/e7745b19eh6ZUl9BNLyEsnAduw374rkxjObdeRvEb78e57fL5O70iSlh69T/uboHcjsqnXs/YW87FfvD2LvMSOug23ZAHYQBVKXaSIHlA4pBFS7A/oUomcZjte1xLw9FnkaA+g3P/zdhbH+j/phn6OKQJW+bO0X2SkIywdmzC3v5QX/vaIYYYIjuGicM+wlBc2oODNEBTO7GaV6XbJ0Y0j3vKn7/62m0cs4I7WlmN9I5rs0W1GZe/Blp2rIOQ0qdEp2WqCWTk9HdBZuB3CoFf0D0fPKdTJ6H8jVi1X0K4OdOcYluvairn4HSb6Rxd956JHOnuomJ0DilUiIh3EiZf8l6Hq5LEnv5K17J+sVikUql0rIar4ulUy69GISg4cOCEPrmt9eUot/fqluu6aQKp7W/1+3nhn/RKPlB09LZG9fau8zH0p3K53LGqLuKthEnAlHaOXgDVJbX3jTeC1IGOSbD8Lqv7/SCLZ1BDdyFfniYOM9i1S3KNE4fa3tSzWlqQsqWdYPzmw5nHSZ3M1Ha85m/S7SLawbinn+uZTIlDct8c0WGHOzqinYZm5OAVToBGMk7JBdNNu72PQ15x9KCV76wQk9vwrvgRzob5q6sLbtrWTdCckZJiYD+wAe/yH2B1SzSEyCcCTwT4vQTNuVCsoEojg6lKg+Zl3Iv6BK+FSz5L5R+fh3PT7/sOZd97A6VPvwnv11/teYyhKolG/+sfPPWVzHz+Rvznv7XPWEmS1ez//ZAlOcosTjf9FPolDs06xa+8m+JX/qH3MTJudan+v5S0DTHE/+sYJg6PAtIg3XZQ1kS6fWzRuQDsbWb7A2YCnZHRw1HFU1oUIyFwK48HWjzzgXMS2l40LjyuYyU65VwHO9NmYoNgaE0m6Ug7Wwd3YFe/33Nlfi5ilXDFRevLNLVjFQej3PWZxsEaI1zyYRq2bkTl2K1kJlYWonEF0L30MHdVHlqNzEY8wcpRvX9HrUDkZLOphJZ+oxDdAonDUouq5NLevXsu5tJfpHccjVh/eY8V9b5YgYqnQQ0QUrbBJBtW+RykpZ8Ho1PxozhNcLJAjl5ETRwHwLIkrpiNxpGlx2UeAyBAd/UWVqVVdXJ1cOHLAa4qbTA0NdcCmWhKlFLEYy9ntKxF1tNZqEqm0Z4dp9dWStkmjs42n2YSUxetGZzd7wLoqPDkTvyM7evc1X2lcDZcgXPDb/py3g3SKkEXuhfFjEGdeetCCbl4FaqNOpXCa7O37NLkch4GCH5zuSENqBIUv/l+yh/9S8SuRwYOVf3wr5j99FU9BcImcRgots4QvIqZPdhbNyJm9vQdytqzDXfD5Vib7+l5jBpdjJxYni15cty+FKrMOhrTuK5fxWFiOcETLxrYNC9NQvolDkLgXf1T3Bt+3fuYoG2cHrRCg/InXs/IWx+HtTXb99cQQzxWMdQ4PApIRajeSlTp8HT7RMl0sc0WNZiKgwla2nsgOKNPAxrzuvcOnNOcqoahKvmlC8HqEgB0QWpX6Zgx9c+GdShx+Wld6TPdINMV3VawnIqj86yACxucFQRyFojwbJ0QOJY+70blVWRep5VN6knUV/F0UrSsArtqsLOqWDWWjWKSdo4unJt+YRVN4iAO13POCmcV9YRqVnIUttCJg7XzbTDxalTp7EzDpM9A6VAQMRAndrwQzfwG5OM63I0GwdDkDFVpNhxBjjwv8+sBIrEEiLDt1rPneSuBiAb9XWraYVbwbW8NYWE9mD4UzmrGS1UgZKapkjSlN8xzV2QLlj+Tam9Gk89gLx3HXKQVBydCiRaf3rh9BXE+qlLPbshCUPrcWxFRyMznrh+8qtqvSlDIsaoPhOe/hPD8l3TfaVmoQlmvxPv1waLTfk3b6Gz2NegOtOxKu49lP3QH9qY7EbVp1LIMWo4+kG3i6Exz6hegm7EGNeAz+/uMFZ73IsLzXtR/nIzIalWapTGdGl9K86V/P/hNg8FJiKawiRaFrYvo3NyXTJoWv4ZVm0bUs1MkhxjisYhhxeFRQMsasnP7eBJ8TDWyBR9G4zDq7AU500GdaAlIW8LnfujlqmSoQQ1WgsgQXssq8fQPgdb5VbyEqqKOQo5e1CEg7gcV6ZU1l8l0m6k4hI37c/PlW+LfTuF3UHgciGw5sl39DsGuDwKt81o5ogfeNrU781yM3EN6J6XJXqvikI8WFMaKSIItwHOs9LoHagxTzciCtBJmiXRO5v4HstVwLxPivdST4NxQlbKIj+fPSf+0LVrmAEawPZjOPm8cp0s+Zqo0eTQOng1KtIKWUUvTpqq1bDS8tOJQWEq05F/SniOGqpTzEejrYJRnNT6lbXTRJeR1HBqEFs9+MAWylRj1CIZTukyWikNyrQZWL/bds/+hky+g+p7vEZ7ylL7HqbElNC96J8HT/qL3QWkDuKxC632n3ng//xKVD760Pz0qY+foePVhRIeehBpdtM/zaiUh/SsOaULa616mCcjgxEEllqyi3l8XMsQQj3UME4dHAak1pNUZ1C0NvwzAVCNbgGZWNxeF38WqX5YGH0IILLmHkuHMZwiwZNKYqyjv6Ojj0J6AZIKKCZM+FIYfnyYO2VkzAMSxDihsWn/008Shfgt29QcZB9qDNfsdwmBHOq92PnmQQ7StcJkNtfPGiKcD2VUVzb/fvvumzON0s5o1FYesVSKDel0HrWVXdWhKmks+jiqdlXmcNLGK7kPJqMMetOGdD07vRlEdUAp399uSRnawqGzhWjphbja2gsp+glESELui9ZlYSNWpW1IEIIJ7mbB1d+pMGofkWfFKa5HeCWmyPubNJmNke8iNI1Rxjlaivb9ILvRbkc9TKejT0EwesB7/qa8kOvGJ+ebWA7maavXpaA05g/0BVKXMWo7aDCN/+2Qq739xz0Oa48uRBx3V4XTV9T1HFxM86WWEZ1/Q+5g0cRtQvYj2n9Da2rUZ+8HbEbXpnse07mP/BNB/8Tuov/Nr+nr0gb3xVuw7r+5LYYuOPovoqDP7uj0BKU2u1/xziaxNw7lh4jDEEH2x4MRBCHGgEOJSIcSdQog7hBBvSbYvFkL8VghxX/JzUbJdCCE+LYS4XwhxmxDi5Lax/jw5/j4hxJ+3bT9FCLEhec2nRS/vw/9lMAGaF9+H8G9Nt494CktIaqGVyYHIBDqjpVGUNZ4GREIIio1vU3H0l2gWZ6UoToTD7O6gKhWThUe/djvEGVbUrTEaxecAekVfCMFIUkmp+T5E2yDe22+EFLFIiCNWa4XKrDY3xPrMfHkhp7DrvyGKpvS8TMXBrO7Wb0vFwIMgx17OVOltQHvFQf/cVluSaQxos7+NWzxq0xut6c9mE6InaFZvBKDk6uDRJA5RDgtdaLOrbf4ao7EwVCU/x+o+xChrnHqkA7CKC2PJ93t9+4cg2tLntXPmFOhjPWsq3Vay9HPo13tzuOfCVPnc+AGs8G6E0J2xRXgvE5YW3GaqOCTxecGmI+CvlLWAfybKZntqerUU5yzsL7SPQ6uzcp+KQ5bEwVQuulQc5OrD8F/4dsIzn51pToXvf4yRv3487pXdBfHRqU8lOO/FLQpUH/SkYiWov+nTzHzueuIjT88+Vi8qT8YVdBE2saZ2IqZ3DXzP/QHTKXkgVSZDxcF65F5G3n4+5X/9857HQHtg3YdeVBolPP0ZhKc9rf+8MqL8iddR+cTr+ia6jTd+ivrbvjiwUaFK7FVFrfs1U+Ux/Ge8mvDcwRTK9PoPcKIaYojHOvZF4xABf6OUukkIMQrcKIT4LfAXwO+VUh8WQvwd8HfAO4FnAIcl/84APg+cIYRYDPwjcCq6Ae2NQoifKKX2Jse8FrgW+AXwdOCX+zDn/ytIaRMiANX6gyzHL2aiOM1kQzHdVCyt9M+DTMWhsuwvUGUHWa+3ekVYKym7EpqJs9IAd8EI/UdRup2rQSVjx1m7ExF5KLu/PzhCpFaS7pyKQ7P+AO6ezxCXnoAc+4v+4wBSjAIRwhppWXEaVyXrROToOQPHAFDWYuKRi/CTTsNpxcG4PU19FcbeBtZBmcarJeJoc17LRhcDki3+sZleDxAnXb+Lwc8Q4nX6d0MLi0QuUXNNaq5/2dHOW7q5ncodfKaVsMIhgL55ZnU/T1UG4RAt+yQ1ZoCYUpI47GnAVHQgS1ADeejpnFTSP6NN81FIMqNmlH1dI+3jIOoIWmMp93BGR5Jqga9gwCKtqTiYewU6gRgrjwM1ZsNsTj2GjlZmE3b1VhTP6RBHB7JViciC2Y/9XvO4uwXhxezdo1VlnPigo5BLD8j83r0g6rNY1SmQ3bNO/4I3Zh5LLl5FvOaI3jSXHI25Gq/5sKao9FhlTh2fBjoh9a9cAExsvYvibf9NfOhJfasJYs9WnHtuQC5dTXz4Kd3nZahdA1a8s+glcFys6d1pp+aeSPUSfT4YhRKN1/5r/3EA6jM6IR0gRFZFrX0Rfj0954ViUMVBTSzDf/5bso1lqEo9kpAhhhhCY8GJg1JqG7At+X1WCHEXsBq4ADgvOexrwGXoxOEC4OtKf1teI4SYEEKsSo79rVJqEiBJPp4uhLgMGFNKXZNs/zrwXP6/kDiYjrHFIzr/cAvBeEm0JQ79x0kbwCUcbdPBF8AvXkipGMCs7OhE3XNOygNCxBzxq6Eq1a2jBicNCYw42iQOIwUd4FWjEspeASLbl4GJVdsZXQsKZO1FyMrTCJkGZEJ3UunKvG8fCyJbwActytVIQVd3Vians202h+tQOrdWgGa6PtejEljZvzDr9snADMXEgja1v93zCYQ4FVXu3qV1LlI9wegzQfg6kLWMpuReRFBGeUdmn1dS6aoUrOQZVUyW3sZ6N/uflUisAmIcZwIwzkO6c3RDZHexMhU8u3AokW2B0mNJ9zDGxgKgrisOA5rMmspLUd6BCJcAy3VVLXl8ZjNULQCaybUpWtOIaAsk1sWWEFhCU9liBf3XU9vQp+9AapeZoeIQnfZ0otOe3n1nGGBvvCVx18rQ56BP9SIv/Av/Gv/Cv97ncYCBVKusmpCBlQugNLUd74ofEUjZN3GwH7qd0n/9A+HJT6bRI3GQq9YTnPci4rXH9Z2XXHEw4fGPR65c2/OYlh1rtiRkf+glRv7hOVizk7rBXp8Gdfo7cTeiWeu+wBBHiJk9WtDco2FbeujBR2s3sR6uV3lgOlCLxjBxGGKIftgvrkpCiLXASejKwIokqQDYDqxIfl8NtCsLH0m29dv+SJft3d7/YuBigBUrVnDZZZct/GQyYNBK4e3bR4ADmZ2Z5aqrO33J3XgtUOKP197Kjokm1WqVq666qtsw7J45FHC5d8ON7C1FacfkOI51kzH/MKDE1TfcyuREfyvVnbvXAKM8uPE+rmnUcF0XKSU7t04AB3DftnGuuu5B4MG+4xScKtW9HnAC2x55mMsuu5O9O5cDi7njQcnl9nOSI7ufUzuqs6uACe6/bwN/mtJN2TY/NA6sYvOWR7jpuodoRiNUq/We16gduycPBEa4c8NtsGkKGR4BFLjq3hM5cOsDwIAGRsC6xdcyvWMl8HSqkzv44x83U90xAqznzk2TXHXVrYOGAGBm5mCgzC0PrMffcx3FYhHfD4DjCWLBFVfdgN2/4JTirr1FYB3Sr3LddbcSh0cCHnHwCFs2uTy0Vwdu/Z4lgD179fW5+647cLdMIoTgoZ2jwCH4YZ37776NHdXJnq+fi8mZ9UCBuzfcDL5+vq6+6XaCh7OLa6dm1wFFPadJQRAEbNxbBA5n91SVq67q0sSrC27fPgqsYWamwbXXbUxpfYVCge1bxoDVPPDILqrl/tfojkfGgQMoiBk2bNjMZHURQgj2xDZwPHtnpzLN6batej5+uIwb7z+cydnrKRaLOvkXRxMoi+tuvYNiDnOtXjiuGbEM2Hj3XewOFr6C69WmOPerbyQojVF/yce54ZYNfY8/ZvcuVgAbt2xnZ5djveokxeokzdElBJV9E8wecPvvWXnPFWw95klsPzKf5e9crGSEJYeewY6aZHefcxzZ9RCnA/VQ9rwWE0n1de+ObdzRZ6wV92/kGGBPtcGd/a7rMUny0e+Y8np43Ov6HmeFPucBqj7b9z6etHeSRcDdD29lKu59XHFmJ26zRm3xamSPCszjm3Us4Ka7NxIXtqXb641GxxxOk4JR4K7bNjC7fT5lszS1nbO+9TfUx1dwzcs/3nNOAKw/X/+r0vVaeNVJRiYfoTmymPri/g5aY2qcxadfyHRxNXuTsZSSOBsf6j+HIYZ4jGGfEwchxAjw38BblVIz7fx5pZQSQuRYOl4YlFJfBL4IcOqpp6rzzjvvUX2/ZrOZCpW7YcftAdxYY/nSxZx99kFmjliNK1izYZJ7p1dz0OHHcfahLldddRVnn93dTtP/rdYKPOWIH1Ne8jyq8fEUi0WUUkRRxLJ7Iu6biTj0qOM4e13/Vb/x+3bDDjj6sDHOPuEEKpUKUkqui/bCxpAly1dz9tkZ3JDCh/mv+3XgdOi6gznvvGX8pj4LD9VYsupgzj47u/d+6abbgQmOOfwAzj1mPYVCgbvcKtxVZdHIFs44+HuESz/GVdfe0/MaASBnENEjlG4pwhScdsoJnLJKMXLjFDTguBNO4ugV2SI0e++1yAf1KtwhB63iCU9Yj3v3XXAr+MLvP482lG+ZgamY4449hpNXweLFi2k0GpQunaYRwcmnnZVSoQYh2FiHq3yWTYxwxhlnULmuyW5f0Rx9M+uWTnCArYOyfs8SQPmOGdgdc8Kxh3PqSl29qt0fwW0hvnUIhxxzLIfYE4MnJGdw9n4c/vgaoMDjzjyVH+2uc+texZr1R3P2sdmrO4Xrp2FWcuLxx3LOEUsIgoDig1W4PsItjmS+3ts26M/cimWLOf10rUURQlAs2MzcvRtuAXdkCSMj/ce863ofbq3jlo/n6BNKBKHAtm12TG2EyyBUItOcNt7kw811Vixbw/GnHEq9XmdsbExXVP6whyCAY48+holSBjpW0KT8qTegShUab/r3ebvFIR9nFlhbGmHtoAZxMgZhdaeS+HX4KrhxQLlU4tQT+698l67UVYn1hxzCQV2OLX77Q3iXfofmi99BcM7jB8xLQo+/pwCFTZdT2H4fpdOexJp+8wqaeL/5mublP+ml3Y9JXr82+dcL9kZdoiuPjfW8Fg8+qA0TFpcKfa+XO3uvPm758oHXdb9AKdR/2thxyKnHHtmzcWDlFzoEOOLII4kP6T2vynsuwN7+INX3/Qi5unsTRDupQJ10yskd73fDLRs6zrn02yWw+yGOPngV8RHz39N6RFc/CiO9r3tWuFf9hNJP/5XgzGfTPP+DA44+Dng+plailCJqNll64Np9msMQQ/y/hn1yVRJCuOik4VtKqR8lm3ckFCSSnzuT7Vugw5h9TbKt3/Y1Xbb/r4fxlHfjByHWlqO+7xMH25hwtfBzeoAlayxVSpkZdbaDClFKpRoHN/gTFXU3QCaqUhzpknVR3dex3VCDmkEVZIYSrb1UU3+Yr3HI2sU6nRMJN9vy2vo4JJoLWUbZyyADW14E9+Ls/WiHOLqjS28sMzc3i0dfxLR9PkAq+j5gTM9hazWDF3iC1FVJdDaZKzqaC1P3s5fDg2ndCblsT2tXpaRUEdkHgZ19JTdKuOiF6hfTxNc4PflyBLIkDQAqQESbqIf6vMqelfYaqe7+ge4enhFxmFjyCi1eb7dj9YPJzFoQ85lz4kdS4blSCuQ0i4P/BLLZxaZ9HLxREIV0TqXiBADVKIM7Cy071pLbqlCa58C4kRnK30CEAc69N+Dc193VS40u0tqADF2lCz/6FGMXn4D36/+av9MraV/8oJmtaVsfi1gAVTIWqoOdkCoffBmjF5+I9WD3ao7K2DlaNKoUL/kshZ9/ceB7DkQqSO+dCMvMnaMH6yWII6wHN2Dfc33focTsJGJqV2vMrgeJTHa44QnnEZz1HGQfahEApQEOWVGIkDFKWF37KbTD0Hd7zcu4SmVyQpJSayt6uUJl6QcxxBBD5MK+uCoJ4MvAXUqp9nriTwBj5fDnwCVt21+ZuCudCUwnlKZfA08VQixKHJieCvw62TcjhDgzea9Xto31vxqpNaTaAVJ/oUgpaYhTGB/TqzVTA7jSadJQgHjZR5DeCek+IQQoSdnRf2CzuCqFKgnSneUd20smcKzdgtW4ZuA4WGUCoVd0jYjVJA41v4az+13Yez8xeBxAWlpvIaxWlcJoLhrWMURLPwJZdBfWCNI9kiDWX+ImMHMS/r7a/X5E87pMc8JZTTXS52e0GxMjmiE32SxnFrTGUt/ASvNrHdvNPWs2s1OC6pEOzIxGwpxfPicknYwCOAkn3bIsCmlDshxJnzVOtPi91JMguuzCePK9PNMMQGZz1YKWNqG950lqERzK9PMzCOYz58rNabKhu6xXGCtPANlclWrJ566SxHdpD46i/tzUwmxFWmPHWlKbsIJWMNxupxtmTBxSrv1+0BKkVqXdgjshUvG1HQ3uIj/ICSnl2We0UBVK9gw6W7qErB2a+wTofgOxczNiz7bexwBy0Qr8Z762r8tU5CXzGtCroiVo7qMliEJGPvgyyp96Q9+xil//Z0b/9kk4Gy7ve1yqi+kzt+BZF9P8y39BLe3ftHOgjsZoJTJ0aFYjiaC5OtVjUtmDffeqSxh7y7kUv/fRrvtz2bE2azi3XIpz62WDjx1iiMcw9oWqdA7wCmCDEOKWZNvfAx8Gvi+EeDWwCTDtK38BPBO4H6gDrwJQSk0KId4PmGWWfzZCaeANwFeBEloU/b9eGA1trkqFdWBry1EpJcpawUTFBvyBTeCMFetYUYC9FBXHKFXDsiziOCZwT6M4YvoCZLBjpQJEKPuwdOVTCJEmDo14DGVl8983wV5LHG3mIRDxdrLmo2ZVvlMcnSQyOYJi5R1JvPhIAqYAhWdb6K7Ien8Q22gTsGyotrkq6cqFQ8EJ8CPd76KUIX4z5yaIO+xvS8mkGjI7F73qPhmoU/TGEUKkHcinJv+EmBhDFU/KNE4kXSCGidcCWhxdSO5/EMwigi0or78Huz4pl8heix9PIYBSW8Vh0n42spJdqBhqt2Ycuzive3hTjoGVbSxjSOAU1qBEGSsZS4kixeVvAmYy9Rkxn6Wyuhsl1yKEm4jIFZbQz2UUq7Tq0wupq5K6EzuYRFnr030m8QuzFcHaejh0f/CcG3+Dd8WPCE9+MuHjL+w7lAiTVfQeSYgqlBHNGnYwOHEIznke0eGnIZd17/BtKg6ikaP3Qk8L1Yzdi02fij4r+84dV1L+/NsITzyfxhs/2fM4tfxA/Of9Vd/3C828+vRB0AdmSGi8Isp2dJIR+j0Fy6aPwyBBs/+0v9CBczk7fbQX0ipBj+ufJkYD+i4A+Be8Cf/Zr0dNdO9S3xprcLCfuirVB1UcBleLxcweyp99C3LZGqonnDfw+CGGeKxiX1yV/kTvtrVP6nK8Arr68ymlvgJ8pcv2G4DsHpj/S2BWEm13JVhaS2AwnjgkDao4GCtWE5C193DQK6lFyp4CAuoZAqJWh97OW9Za4T82mzVevJcgmAHG0mZWacUhLBIu+SCIbGVhswJumXOiPXHIL40x1A8vcbDxTHOzsXehStl496LxJxqNpcCKNCEC3fV7Z6SY8VWabPWDxAUkQfnl6TbLsii4OhBuxNkpRo3k/pr3XV7RidGeyZuwVo8QZ0wcUjqP1WoAmFYcwhlE8/psiQMtelzJ1eOYPg4zQSVzsA8QSwtQOG2d8krJjatHdmY3LHNutncQiJb+SClFxYyXgUpnjhlRt4NchWW16EojHsz42q53vDQgcTD9IEoHI90DINZjKKVyVxxalKDu18Ka3IFzx1XEK9cNHst0Je7RW0EVyzANTjg4cYjOeGbf/a2KQ5bO0f1pQSprk7u0+Vvv7D5X34sBCAsjxGuOQC5e0fe4lkNTn8BaCFR5FDG7F9Go9j42zDAWED7xor77AaxNd4LtIA84pG/PhNTCtlcSaAL0fp2ezVhLBvRCyVFxSJ2QelioiiAH7ak0bAA3xBBZsF9clYboRJwGaPqnUgopJTZTLLL3AgcN1DikVqzuDNbMTxCFJwLjHV2fTUOxLBUHmfQVcEQ4ZwXc9BbIFqiL6BEifxYYa1Uc0sRBgJOtQRaACrcCK7FFK0gxiUMQ7MLZ/VHi0R4Cxy4wq86u1dlnIlTZ+wZa9T9QbzweWNESL6sGY26DnYww21SsyJJfJc+AsDoDmGJiFZune7S5v8UkIVpa0Q/WjvhMZCH7R7jVXbmViJpr5MvR7Fas8ST1vVcDZ89LHLLQgTrnRDong1FPd9yuBRBEKu190HdKcj7lCZLEIXnGa1kSh+RalypHIimmibpSioozw4w/RtVvMG74+z1gEt9C5Tgiz4ZGIx3HExKwCGenYengBLJf8zfI16E55Y8XeqzAGqpShsRhINJGa3m6Pfc6x5y9F/r2Jciol5jcjr3lPuSSA3Rg3QVxoUztHwd3uPef8wb8Z75mMI2nNAazexH1GdRYj4aT+9FCtfIRXZWY+fdr+luamkWlHvdSjSyifvFHB+obsiClF2U4v0EN4NIkpJAhCWnvo5Gjx8oQQzzWsE/i6CG6I+VbsxtUlAZpjtrFYjQvdarZn6eQVhycvdiNP0A8nQpahRAQ76WstGVclpXUKNKl3LK6sWN72pQsQ/IBoKwJAvQXmjdHHJ0lMGtHi6pkz6OpBJFExFtADV79sep/wNnxOoKEl20qDmmH5awru4Aqnc2s1L0XRpOKg4VkzNW8/SwCW+gUR7ej5OjJNPoJG+egUb0ZgIqjV26XJY0Dd4QnoIqnZR4nSlauveavgMR1KLn/TTWCKg7uygsg4j3Upy8DdJAPrcrYTHUzVvUn2SakJGESMLptF0oIweKi/nxMzm7PNFSYZGouM+kYoBOHkdq/I5A0o1bvkF4wCV1x9AQQhY4ke8TT71HzB9+7tCLTJY46ZvoWTmtuoPTgLQPHAdp0Cb1EyINFsAYm8O7Vzbn+fz7O7Ed+S3XJ4GaJzoYrcG76fe9gspRd4yAGiIfVopUEZzyL6Oj+jlYt3UXvSlWahAyYl3PHlZQ//Ua8336973GZYFl6BX1QMJyhCVxKx+pHewKszffgXPdLrO0PdT9AqbYkpP9YA5PTYpnotKcRnTyPbNB1XqUvvoPCJZ/tuj868nTqb/o0wZNeNnCsQVSlVsUhg7GF46IKJa212Q/VqCGG+H8Vw8ThUYChIHjhzakbklIKaS1hbDQRR2fUOIyWFxGPvgxld4qaBQGj3A9ALUsDOKlvtW21IhkdOOrf/eYWrNnBK2e4B+ILHVgbqlJL4wDW7PewZr6RacUmSpqjWaI1p1Ygu5hwyftR3vGD56QCBEFbR+vOikM88xNE40+DxwFk+cnMRJp2YCopShQZKU0A2VfUpXEwCi/vDD5tbQzWrD+caRyAhq8DwpKjq0XLRvS93F3Pu7qvA19PtYJxk6iFeTQl9mKm7acCLRGxaVI425jGama71hATJZUww1Qyq/KLijpA2TuzKdNIJilywxvSccxYgoiyq/f7cf8/eSYJr7gCKWWaqEspqRR1wlyLBnPGG2kDuJnU5cnM6ytH3cTVj7yMI3dkMCNAU37C055OdEz3oDlrIAy0AqIeFQe1dDVq0QpUhpXj4rc/SPnzf42Y6S70jw8+muo/fJfGXw6ywSRNjnoFw3LlWpqv+RDBM/5y4FByZFFKYemGFlVpkNC6P0WsNaCCZl139t5HKKNH6JcEZqw4eJf/kPKX3ol959XdD4gjhFL6Xg+438HjL6T6998ifNzz+x6XBaJRxb3+V9h3dzesUItXEp1wHnLtMQPH6ugc3eU7p3nh25j94C8IT31qprml3aOHdKUhhuiJIVXpUUCqJ3CWgHBRiRVoLJYyuvjJQHVgAGpWtkfLi5HlJyODACH8dL8UY5RGtNNSpooD40BM7J7asd0IfZshCDk1+OTQ4lCYb8daCxRW/fcIQuToi4H+X7jt4uh5GofYAad/w550nPJTkKXzCKQOBDpdlRShvxkRRRmMXTWqyWUeTTpHK2xGy4uAKK0EDYIO0i08tblje1rhibJ/9GpCe5kXXb0auSyhKu2arUE0BU5/R5TWnPTNFhX9JaqpSuZ6S4h3Z3OxspcwbZ8HVBlNBOSGqrQ3PIC48px+r26DSDqagzsnnl9StmES9gTLu7xuPsxnznXH0spcHOukJB5/DRUvphZCM+pPFUnF0dZ2YHFH0ldOnvNqhs9bI4khK83v4zRXIqynpfvkIToZtntYj86FWn4gjYs/0vuAYn8aSTuCZ7yGcO925IqDM713X5jOy70oLsUK8uCjsw310r/XtJJ9pN/Eh51M9RN/7H9QVmtXI9IdkDiUP/wKnAduo/aubxKv777QUbjks9h3X4f/Z68nPvqsnmOZxKF/xSGDQxMZKlGpLiEDJWjp6r7OS2LnZtwbf4tccfDAqoMa1fQ8Uc3uvtYTXhHlFvQ1CZrzE+LyWEpnygJVHoWpnYj6DCzqr1sZYojHKoaJw6MAQ1WyyqeCcFDKTwOQiX0QR5vVTx3MFiiPHAbUM1GEzJxsoTqCIRPI1tUK4tGXDD45FRAkAVlL46CjvloIcvSF6EJWBgFxV1cl/dPPQS9C2CBswtgkDvoapbalxWciSxmdRaJt1AIPsDrE0SkVJ2Pi0EwSA6vYWiUWQlAqHQRIZmV3J5puqMejQEDJdbEsi+Ujeg6T05uwZ35NvPgfMo2jKzIK2zsAIZqdPRPCCGfqc0RL3pdprFlTESskGoeEQjwdjqFK52Y7MeEQmkrYnOdy8cgYELEnyJY8htIDmlil0yBxsjIVB6wxyt401CSNARUH81kabX4TeHPHOCNJ/JjFjMBoHEpeBSU6nz259liUENib79ac/AE0kUHI414UnfCEvvuda3+Be8OvWb78mLRRWi+YCkdq1bkPCM95bv8DpMTasQmCRuZkpBdatJuseokB98eIwPs4K1lbN+LcfzPBgJXs5oVvw3/em5ETvRPmxqv+BdGY7a2BSJCeZ69+CWkCsm/PH4C99X6KP/ok4fGPH5w4jEzo9+9hx2rffiX2A7cRH3M28SEndD2mHY1Xf1DTwPaDviLVTAwrDkMM0RPDxOFRQLr6mQRlhqpkWxbj7jRgDRZHGztWZw/CfwDUwcxllrXcjAYHs4bbPVc8mlYcIguswapf0bye0F8ErGr1cTBUpUCv/meC8pHRNDCKaKs4FJOlZz8MsWZ/kFmwq5RKXZVcW/d7S+1YrYPBybaS6ez9N6rNtwAjjBa04w/AmDsFVJhtBMDgsQxXvlBc2xEQG01A1spF+1jmXi1NNA67muNgd7c07AbzXFpJM3chREtTIm2UlXFlTtaYrU8B5ZTOlSZWOcTRSql5RgIGi5OOynsy0rFarmH6Z/s1hxalqjkgcTAUo1Jx2bxxKvZuYILa7A1A71Xj9nG8xS8nKipEELSoU5VxwuUHU9y5CfvhuwYHR80a1tROVHmsa7CoRhYRnnAecoAXfxZYOx/GveVSRk4Z8CxEISIKUJbde8U6jih+6wMQNGm+5kP7NjEZM/LeC1CWzewXbhooMu4Lx6P21i9okbRSPcfKopeAlrMP9T5NHTMmIWrp6oGV0fiIUwcckYxVGuBqlVKeBguHxeR2Cr/6Cqo0gv+8N+/TWC1B87TuZD7Hzcm540oKv/smzWIlU+IQndL7O6fwg3/D2rMV/7lvQmZwHWu84ZO6ktPLPGCIIYYYahweDaRNrZLvI8OVBljeeDcAezNWHMa5Fmfq3yChEXW4vAhNg6kHgw3hg1CvrpW4p7PikATqzcz0XJtQ6mjT0EtaCUzWMQAVIqV+QZsTZ7oCHsQSu/4LRHDPwKFE4yrY+0UUunphW6KDhpPZ9hJQzgpmQ/3lN9pWcZiw7gBgJoMAVSmVXou5PR/MqnXWygVAs6mbr6cah4SqtLO5nHj8dZnHiZJKUUG2uoc7toUtQCoLf+yvM40jgjup7/05ABVPVwqMzfB0UyL8W0H5/YYAIE50CXOrDUIIFpcScXQtawM4/bOd8mS0CSK4m4q1CxicOJgGcMUlr+o0IwBGPP0hqTUHOw4ZcXTRbTlYtcNfo1fN7QdvGziWc9e1jLznAopf/6eu+9X4Uhpv+jT+Re8cOJb7h+/gXvHfPfn4JqhzggHX3W+jKfUK4i0b96pL8K79ef8ux6GPe+l3ca/5We9jHBfluAgZt8Ti3Q679heMvPOpFP77k73HEkKvZh96Yv8EJGuwXxm8Sp3JjnV/YwBVKU/vBaIA79Lv4l7XvZWSCHKMZTuo8hhCqa7XLNdYA+DcfS3ujb+FQXqWBGp00f+vvfMOl+Mq7//nzGzfvb2od1nulmXLvVc6BmJ6CTXwo0MgJgSSYEocMAmmBAIxNRBqwGCIAQM27r0X2bKs3m6/u3frzJzfH2dmts3uzpVkX2Gfz/P4sbSz+94zZ1d33/e85dv+M63RaHTg8FRg2epLIla42h/FqsqLIB4bIGrYlKz2WgVeD0RXshcndiSOE/ODD4+uivolPlPq7LFnS+7JcLT+S8Sb+lKo2BgznfX1ZPJkSqjaT+9EPxFRDnvZhkphM6L0ADgdyiZEHEeoL9zaUqWEp2RtR7Azf4WMd5bxENYW7IKaFlXrOHp/tgoblDMbgmL3hyjZEQxR1bgQQtDlNkdPlzon6Sq2GscaMSQJnqy71hvZDkAu90So9QAUiqMApCLqffaao8fyEscJH4B45Wpx68E6BWy/pCtsgCUSZG31GfCCq2RUjXYt2wJr9Mtgj3Rej6U+ixHDbnKsB+J7AJiYfCjUkqzKGACx8s3Njro9RsZU14t2px4H3PtR//d1U4B0UpWP5MzOk6y8f9uJhlGynq3iUpVJMzY/3NFWGG2CUDgOyf/5F5Lf/QSIFr/63Rr7SKf6/zBlSkKEGhUr8lmSP/gM8R9f3vZnhikxMqbHMMZ3w4EYJ+vve4fAofYEvRXeiXwHW+aGO0l+4xKif/ph8BMch/j/XkHsV19raweqGQdalLA5g4tU8/rb2vTPeLa6lJCpyLZQvPf0QUJkHEA1sEOLPgfPVhjtBSBy33XEr/oKxtZHA2yF14TQaDTh0IHDU4A3Uz5qymqZkqm8M2vgk6Rjyvls15vgZRwyvWdi930IaXQ1OVeppBqZmK90mA0uJdmK+sKKJw+tu+Y56mXbwMnf1fTaICru/XlTlYQQ1VKQiZ8Qmfw3hLWjvRERxZbKEar9EFYF4Ayc9AtDlSo5iVPJp97qrqn6uDf/3y7ciZH/Y0c7UG18zcSoC9TSXarpcbrSWdzMb7CNFIlbN9W9b91x5UBki+HTM3lHNSwnIhE/k9KbUD0i4x1K3mrx+glEXE328pzimFeu1GlWqYuMH+1PVcrEqnb8Bmm5DmgtJtW4nohR/bleNq0/pRY1VgyrHO2OYzVs346/3ughJJPzAbckrw3eoIGkmymoXVM6pj6vuXLn4NHLOGRmvohZvrspmMkdez6TX7yF4ls6TxzyTow9QbXA50zuxdi1qf1kH28+fiyhxoMGIP3AoYNCsxc4xDv0N3iBRbvGbS9I6eTceSNk2wUhBfcEu0NPU/Smq0h8/9MY2x9rvawXv5PsZddQPu2itraqk31alyqJkKJtYmIP0dv/j8jGe4KfYJWJ/9+VxH/zX23tQI0AX6FFJiQax1l2BM7SEOWgiTQyElOTqAKCylllLwD7sBOorD1blbq1tBWuXChyzx+JX/2fmFuag3BfEyKkLfPhW0h97s0tR8VqNBrd4/CUUJFxoITR9SI/cIhEIv6Ul3QMJovVsoggphuaox3HIRKpvl2GYZDoez6QJVdu76SVLKjYqlk4Fq3/QlUjWSVFS1BIPJcwv1690Z21TnomJsiWJDm5kt6YQIZQ/PW1DgJKlUp2cIlHINFllGJLgCki7uuFEH7GoWwcgox3Lp2B6kQlLxDyfn6Xp4wcwoz3vqajYBkr/TZxIQSppGr2nXI619t65J0BwCYZq+7pUFowWZSMb/0Ug4d+MFR/ijeuVsSOhkrRd/i9Pbf3fgqWfhRE518LfvN+ovrm9cQFY3nJROLtDEY6Bw6W6AamMI3mk/T+rgVAnjFrTUc7ABUxAJQRyZOB+pI+IsOkkjmg0rFUKV9xAEHvzGeppN+NYRj+v2FPgTrMMAJPUDEl9qhxwQ2K7SISU3XUIT7ffuDQRtk9/clXYkyPkf3ctcgWjbX+TPsWGg7qZ7iBQ4dSJWfhaqa/dEtVf6GVvZqMQ6td8++vzQhVqIrWiVK+dR9AiL0CiNx/PdG7r8Vasx5ncYvPWKqrOh613brCZByscHoJXsanpXqxt98hHHR71Vqmv3Bje2G3sAiB7B5AjO9CTI8jhxpsuuVFYU/2i6//x9YXZ5klqDY0B+z/LG2JUoHIY3e2/Tei0Tzb0RmHpwBPcCxiCt/5ra2V9sY6tlN89jMONd8ztarRShFXPd6pt8Af7eqOF22sJ/cnK5nHdbw3UbiZsuVOL6rpaPXuaTp6EXbfhyC6vL0haweOVF+CRo1TZZqG3yhbKWyCSji9g5x3j7GqLc9OKbYeJ3V+KDuFPf8OQCZW/950u3azIZpB/AbbeJpy9LS6a2nX+cmWOjvWHr6acaT6GRhMqf+P5g2Qnet3pZSBKs1Q00RengQZTpguW/OZ8qj2OcyuoTlq0lSG1+/e32yboyMtSkE89eh2U5UcR/rZu6RZX9JnGAapqPoh+WznMarex8Qc/ABWNIQWSRvCBA7V0+U2J/teiU+bxk8ZslQJIdQptDtas6W9EOJ0wm0qlh2yBGFKlbz77xQ4yHalMrPEWnM8hTd9kvI5r2z9nGPOonzSC/yJQi3XlWyfJQg7ihVQpW3p7pbThoytj5D47j8TvT6Efg/VciUjqFzJMJDJzAGZsDUb5Wio6TEJyPiI2ixbCLxpVsbk3lDP12iejeiMw1OAV0seMeoddAAz+z9kjOOA+aFKlXpnLiWyZxekPt9cquQGDp10HHwnL5rHcApAT931ZAQmqZZXtEPYI1SclUDV4YSqWFqYGfcARnkDtn0IEKXhMJa4qRxBe/RzmJkVwBnt11R6gNy0BSz3MwNqfbNvjs66ZRCZWP2i+rgJOI5sfoLG/WvEL1WqqZP38KYqhclc+PbKFmCQiFRLZwbd7+fd0feA0flUtDr6VmJQwBuXW5txyHdfAiLEhJX89cxMm8CRfmBbN5K14KixVq3q6F2896UxkAHoT6r1jec7N/4DgUGRv+/SIm3uBXrb9jh4zn4iAlbvhxGlapCtxrG6GYfiKMgKiNY9B0Uv2EsOIynVVQYJIcBxyHz+LYjCDDMf/1H7zIPndLc7/U52LgnqpBoNyjm0jjiFSZEi/PT7NoQQp/MaZDsFDvjjRds0IbvX2pV1QY2WQLZ14BD/0Wcxxner8ajzl7e2NbyUynB7pe3Sy97X9rpvy9dx6DAJqZMoXQiMkW3EbvhfKjNTVM56ecfnO939mAT3OZSf/1bKz39r+B9uVVTQZkb8gMRDJrtwuvpDByEy3QsEBIGO4wcOYfVBpKvdICb3hHq+RvNsRGccngIsW31Bxyq3+2UO3omqkFlSprrePnBQ/++O5RHYSCn8PgmP7tIPXDvtPWO/rCQ6gSlHmjIOvnbCTOdGVCd1DmVbfWnVlip5k5X8IEa2d/hkZAGOKxBnNgYOXsO2WIWMLOy4JiN/DTPjvwKqKtaqF0BdL1eKYLdo6mtgKvlOoHo/oE6b1WhWmAqRKfAabFNRRzmYNXTHVHYgV5gMtR6kQ8GtN0/FjKaMw0g+3tFBB/xRtRFhEylXFVtr1cNn7IFQtoTMky2r59UGWF5Z3czer2Lkf9PRjlVSjeJR6p2k+qlK2UBF2CZbFfX+xpxNflatTrHbVv077XocqgGf8IOx2iyfLwDH4R3X42edIiKw5E4KgbnlEaXl0EG4LcyJfPU0vs3Jvhc4tCldkT2D5D/wnzx2dnuF5sh915O6/C3Erv1e2+fZi9ZgHXJc22DFz6h0KAsqXvxBch/7IdYhx3e21THj0AuA0UJLACDyyK1E77627RSnA42vXNwq4+CWQ3Uq6/JIfPufSH/ylYixXc22vOlFYRuaF6/BWr0u9PPbEfv99+j68PnErvlW07XCu75A7t+uw1nReTAGVJ19Y2x3/QXbUroSR53WsqenyVZ3P9IwMbIT7SeBaTTPYnTG4SnAsi0gQsTZWze9BqCSehnJlPolli9Dq69Kr/QmsfBfKSXtJtUpIQQJ13PPVwwcR9aV/NTilz0lktgNJ8q1jmNl4n9gweFta9yl6KLijoaN1Xj8ngOZz95OZM+3cdIvwMm8tLWd2OE4TALSH5/qoRqkJTNdf0t/twHc3NKOZ2sK5aB315TOeOtzZv5IZPxWrKHPtbUDkLO6gZm6EjGAVPcpQIHpSucvbC8gzPAYycpGZLJawtAVqwDRWTRH2+QtdVqWqjngHvACh5lwGR6vfKgnXsIRGUSNQF9fUu132EZrJ3Uu01I5od2J6nvnNUdPlWLgdC6fsh0VHAROVUqrz+B4MeEKKLZ3ViyrAGSIylFAnf76PQ4iQiqpdBnaZRy89y3lvveew19tjnYDB3uwbbYBqtmLVPFHWJGTwZjvr8lDpnsQpTxiZqqto1t60TuonHoRzoLWfTHVEpc2QUiljIxEIWSjaDuM0e1ENtyBs3BV2+eVLg4x4rdSQgqjY+DgLDm07XWAyskvwF5+ZEdl7LZTfVy80peOmZBykeiNP0dYFcoXvqH5ulXB2LYBmelFDrUXNKzW6wc3Wnuiad4peyeMnRsxtz6CMbEbe2BB/cWwTene00NmTcLQSQRuNjjufYnxnfUXojEK7/ny7IwZJrJnEDGxBzG1FzKD+70+jeaZhg4cngIqMgU4mCk1ttFzFgzDQBr9pONFoEK+IlsHDp6CbdxEIpCy1FQHTtcrSERyFC0oWNWG3kb8UqXkIE5AcJHwHHVxBGDT7mPhC20J1Y/gUe3biCKwQXYeh+hNn2pckncfYZpQAZz0C5k0S0Der7mvU452ksgQ5TxQ31tSe2qdcTMOYYTb/NPmqINDFKP25Ns97Z2uhFuPJELeUhuSqOlxGM64PQATDyHKmY7TpybcoKAv3YUdOx5K1VqpAfcweHzsRlh2OETmt1+UiJMtlwC7PuPg9jhMxN6A09W5zKAiFgE5zEhzMBaPCNJRyUzFZLoUpaeDr2sJ5QgaMeVc1zVHA8nuk4ACRbt1xsgr1UubU5j5G4Ez67MWnl5Jh8+lZat+EkM4JIq/JZc6HCHqnTYhBE66G2N8lwoc2oi3yeGl2B1KYcKMPbUPP4nsV+9SolvtyE+TmN4LVqX1CNgDqRp9zquonP3K9hOhwto6tf0EJI8wjqtf9tTpdF+qMbcyGg8MHMTUKJnPvAand5jc565tbyueVBmaRAYcp+mkXEgHZ2AhTn+Hf6Pe0tyafTHVPB7ZK9Pq1KcShsSVH8Xc9ADF138c+7ATO6/L3//97zFxBhYik11+0LXf9nqHMSb2YEzowEGjCUIHDk8BtjQBBzM23y9T8px+KaXvZLdSfC5bSgU5YqiyHduuNlhD7UmqSTomKFqSmbKsK6+pxSt7ysRFUwYEqnoF+eQrO56kWlNXAWcRM+vteM7+NEdRGf56RzvY4zjS7ftoiBx64iqQCdtkCzXlWDUZB69saco4C3vg+Z2NyAr56duAo5v2stufqiQ7TnvySpUS6aMpRo8iXVPu0pWIAWWyIUZ6gioxcqTqJ4nWZHj8jEM2i7AmOwYO426Tsdd0XBsUKVuSiamNCHsQ2SlwoCYYTdSWKqn/Pzaqavy9Ub+tsKT6PJs1zlFtT0F/2mRm0mGsQMfAoSKTQAUzOgQ0O6Apdy3tpip5AUHanMKsPAzRM+vW5Qe0xRxYBYgETy8quD8+GQGn61XY9gDRgM+LTHljPNtM4wlLmLGnHgEjMGvJfOpVnDqynexhVyNbBCxeg3Ko6TOlAtgVaOfYCdFRp8LY+iix63+Cs3Al5fNe2/nntkH2DmHPX9HaAbcqiFJBjQvtdI+xpBKnq5TUFJ+GE3y/vKhDY7R6siD/d99uedk6+gxyl13T2Y6L7FGOrzHZHDgY+xI4VMrqHhuCKWNkG+beLR0/W/66WgVuUtL1vtORmR5yl14VTrskmSH7xZuaHy/lEblJZM/QrDRQrHXn4iw9zB+zq9Fo6tE9Dk8BXtNn1MDvcfCzDtZmMijxr3yLEsqsn22AyOQXiea+0/JnpUKcgvqjXaMzajRkgxOTcH+ndhwYJB3s3O8BFdQEnsZWjM5BA2BO/aevHN2YcfBOrnN7/oPInrdD6+GLqpfCnmC6qDa91pHt807AQ07mQVaYmdkMNE+zirObmGlTsdV423Z4fR5BgVzcxBVKay8A6FGoabSuLZ1Z2KVsb8qtwYl1rrmfLKhUUW+iPngUQtDn+jl77ZOR5ryOtkTxDnJFVYrkTbESQjDsCtP91x1ljvvitK+g3gp/iIAgMBAb8BukQ/Q41DRa1/17c8eppqPKRrHNYbs/vSrRTyVxfl1/A1RLxWaKkxjl1orP1YyTiZN+DtLorbvuB0f+NJj2gUP8f68g/pPPQ4vyFYDyua9m5m//C+u489raCoNfZ99OCTlkxiF63Y/pfvdJJH52xX6vy5gaIfbnnxB54IaWz4ncfS3mw7eo0/o2OIvXMPPJqyi+8dLA635fSaqr88hcIdqWGFX7Ep5+R9TpVSV6IiBw8E77nUx/07UgzEdupfud60l97YNN14xpJbAouwdC2fKCFe911TVNIgpZtWf7KXhoPn43XR95LqkvvnNWrys/7y0UX/fxjmV4Gs2zFR04PAWUXNXSqKNGidY1I9t7yAgVOLRy9qvlMhKjfC9G5aG6BmvflrWdjKF+8ebblMx79vq4GVPWN5DV9jgUyk6HpmaHYkL1LcQaOprTbilPLkQpj/rBKWw34yAaAgMvcJguGgjKGKKNp+5MER39IPmJ36nX1mQcet3T9YmwmQsRZYr1QDUQqk7msemJqVPWqQ736DugAVOVhBB0x9QeTxc6l3Pli5MApMz6k+Sj5xsYAu7fm6IgOzeQe/0LA8a9GNamujV52Ysxa1XLU/RaRGVjtTk6Xr2/Vx5tcsmZNomIxaZxh7259vtkFzcCEDOCT8n7E8oJG8+GUKG2lY0YVWe3tlSpy1KntDatx1l5gXwq0YMdbW7M9ALBGSuDNFo7SF4AHq/xe5qao6WsEQ5rHzjErv8J8d99B2G3jnqcBSuxDzuxpYYDQPTPPyX9zy8j9ofvt/151ck+rQMVP7PRIXCQ3a7icECpjEfie58kfekrMB9rL0DpuE6pmG4x6MCqkPrqB0ld8c7Ozn4HqoFDuPKXqpZDu8AhZCmNY6sa+wNQ/9+uVMnpX4C95DBkf+fDAqgZYRswVUm4AYATMnBwBhYihUCM71YlcZ4dd51Oz1AoO/ULlHW2jAk1UtVp829Co9HMHh04PAXszSkPZH70XhzH8achCSGwzaUkU0q5t1Xg4ImQdcUNrJ73Uk69ruk5QgiQNulItq0tqAlE4nEg1pxxcHUcKuNfQ5QfaH1jIkIxfi5QP4oVapqjSznMya9gZH/Q2g5g970Px62UMxuyF17Jy3j8dVSGv4Yj25T1yBLS6GHaUl/KtRkHb6TnZG43kdGPddYoEFFycrl7P/WXHGOAroSrwdAhEPGCuIx9GzHr7qbrXVH1nk3nOzvEhbJacyqi/u83IicMjhg2sBy4Z2fnebOTXo9DfAKoDw4HfE2IcAFWKXICJTuKKaRfAgRK0+ET55VZ1qWciOkOAZZVUfcfEaWm4EpKyWB8FIDxEA6UN1UpInf4NmpJuarPoacqUV/OpXQc1PWc1YVMrGtpxx/Falag9Ehdlq92Xdaa4ymfeTHOvOWtb0zK0KJmnTAm9mDu2NgxUKkGDu0yDp0nNAGqTAQwpkZbr2v3k2q6VIfeC29sp2g4pfbXVLtPYQOHSjkwOyHNKJV152EfflIoM34Q2Dbj0BvKVvwn/0bX311A9KafN11LXPlRMh84k8i9fwply2lTqlS6+APM/OOPsdesD2Wruv8NgUMpr8q6IjEI+xmNxpF98xGOjRivTnwS7ufEK7EKS+zXX6fr3SfVBcViQo1U9aYuhaZUwNjyMMaWR2b3Oo3mWYLucXgK2J1Tnu+8viV1gQOAY8wjlRkGCspRCajdrjr6BjKxDqdSgUJ1So3nfDjmMKmkMhAmcEj2nI1tNH85eyfjBSsKsr3AgFd+Em1w9r3671zJwSjdiTQX4XTo/60qRzf0E7hqxNlyAkQcaOMEROZjDX2BSZQycG3GoS+p7EwWIgh7hwocOihatxTeEwlXp8Du6BB7pUoZcw9C1m+CGu2q/pwLM9rV6QPyJOLNZQ4nLLJ4cI/B7U/u4tRlS9ra8TIOPX2n4JgJpFUte+p3P4NjuSxYMx2zDtNyJTBFJi6aHHSMfrqTAiY6C8GVTaXYa5j1p9aezT63Dnqs1LmUwpLKgTXN+n3ygpBk74VAjulya8fG6zlKGeOu0NaCuvX4gosdmqP98jJjjOjkZzGSn4AAVYTKic/HPvmF7W+slEdIRwlYtSndMLY/RvSWX+EsWEnl9JcGPymEcjR0nuwDYK8+FkwTp01TN1QdV9FGUKuq49BJe8F1XHMTgY3Dvt5FyIbt9Mcvwtz9JNnLrkEO1Gft5NBiCu/891B2oGbPAoLc2ZYqyQHVd9E0XhQlvmbkJluKujXiDC+jfPILcZZ2LmfsuC5P+yI3qYI8t5/BCyRk98CsMj2FN/yTEhGsceyNfc04xJKIchGjZuysJ+I224yDuflB0pe/BWv1Osrv/drs1qHRPAvQgcMBxnYku3PqC23e4ImUizNNM+WrDkiwDW+iUqMIWRMiQSruAFZbEbiqMxxsz5/jn3wTMtGmC9XaS6WYBfqbMg5+GUclgdXz/8Bon5ZXvR/ubTRc6/HGeu5Dc3StknGfO/Z2otxDZeAzIDp02MqSq6+Q8qco1TbretmMjoGD6zjGuk6nbEpiDafNmWQf4DBtd/5Cy1fURiej1X+qnp0TF4zyLYa5Y8sI0D5wmKyZqiQBIaoBZL83VWl6L0ZxE07mJW1tNU6e8tbkOA4YCbqSGcDqOIEq7/QDOeKRYHGmga55QJHRYucSjzL9gIUZWwhUszNeqZL3+Ww3jrXg/nvM8CDR8g7KsdfUXVdTrVQpklUpEIkGf56qpUoRnOihOOx7rXZYcTRjZDvx332HytqzWwYOougFDu3/HfgZhzZCa+XnvLGtDd+WFzhkx4Od/Zqf07EsKBpDJrtUDXx+uqnZ2LfTaXyqR0x97kRusilwmC2yfx5Oukc1Djcw21Ilp88d3VtzEu/byilbTphGa0AOL6H4ls8EXJCQzypRwbDOvhnByfRi5CYR2Ylq4/Us+xs87CNPbXqsmnGYna2gkaz7mnHwyruM8ebATaPR6FKlA87IjMSRqvzDc67rehOkRdpQv9A69Th0xSxE/vq2jZhVh731mrJFlYrvDvDPanscilb7LxCjeAvOxJWAEn+ra452He18xUQmTmw/5ceewhj5qLIZ0Bjb42YKstknMSe/SjoWXJpQizc5qidR3evuuMAQkCsLKmI+iA4n/PYkM/nN7v00X+6OqJO1bLF9yZNXK59MDOKI3qbrXkNxmNGujSrUtaxfrBZ5264FzRcb8DIOfcnm99gr6Ror9SKNzhNWZnJbAMjEgvthetwAq1Pgt21SvX5hjZ9XG6h5I2dHcp3Vo21frT34uh84hChVSsZ7sc36aUJ+0BdVaymOfrWlnYLb9J5IzMPquwQpMs2jlKFaErFtQ0tbYcXRwoxj9ef2d8o4JL2MQ+vAITTROE66B2FbLUdvVgOHEAroXs9EUJ2917CdClcuU63ZD1jXzJSqvw8IBIIovvrvyX3hBqyTmqe3lZ/zRnIf/T6VE0NMdkP1HkCw4ypmJtXaQ5Y9tSSfpfv9p5P5wJmdn1uDHFQ6FMaezf5jTs8gxRe/k/Jp4UbhtqMaOMwu4+C4gV9gxmGWgYMzsBAZialRye36fDSaZyk6cDjA7M4qx2JBlwNOoV41WggEJbrKqnY132IcazVwKBLJfpto4TdNzrU/LcZQqd2ZUusvuOmiutbnBKv5+krNLdbjIY0eSoZyqBodNC+bkQujvSCzSEv9UjcETU6VV240VZjBKN1OItJaDdfI/wlz7FJyBXUSV9vjYJqGn72YCCNuJiJkLeWYdDVkZ6SU9Jhb3HW1dyZ8B9Td18b3zsuKTIfIqBTc5uikMd7UB7BqaB49CcH2bILtU+2da2+qUj83Ip183TW/x6HYhUyd1XFNuSklyNcdLdZl07zT/Z6ocsQ67dO2MXU6uKS7EtjjMJRS0fBItvOIUcutUzdF/T74ZUY8CUBFtq6j9wL5ZNc6rPjZdVOsvPvzR7JWWv/q9LT9kpHqngRNjTK3PEzmU68i8YOAE2Fv/WGVkEMEDr5ydIfAwVp/Ife+8MOUT39Zy+cYO59AjGzvrAlBTdYhoM4ex4FCuEZrAHvF0Vhr1hOkJh52r/x1tdFyiF33I7ouuZD41f8Zyla70iHZPYCz4mhkWO0F//Q8IOPgj3YNP6FJjGzH3HBHtZQLVfIEtB+RG4DtThoydm6qrndwEeUXvUNpccwCMbqD+E8uJ/arajmQte5cii95j3qPZ4H0gq2x/c84EIliu2KDkW2Pzu61Gs2zAF2qdIDZNa2+0BbEN2DkdwEX1KvFkiCVVF+krZujvR6HKE7iDGxa13hnxGbgWPLFHEF11MpeGYgEnqIDJN3m6FLudox8BSd1fuDzZOpsiunTgawvruavw3OGSxJRvA3hzOAkzyBwNKs5j2Lfp4DmUaxQc2JtLcbqfjvZzW1OPu09GNaTTLsZh9oeB4DeJEwUYWr0N8yLrW6fCTEHyNlRwPbvB2oaklMqfZ7t0JvgBWBd8l5MZwCo/5LviWwH5jOTvQ9oL5ZUKGeBPtLmGFDfMGgIwdHzTW7cbPHYqE07/VcvcBoUNyLk0RhG0r+3TExlkGbKau3JDvoL07Yqi0rHzUCHuMfYABzPdL71ZxJg6+huoJel3dNAr78ecDMO8W3AAkay40D7si6rvAcYJsYIQvQ32UpHlTdfsFq/d15Te1B2xyMdj0DOYTr1Hlq5I0Uv4xAJ3kcvMAo1VUkI7MVr2jdQAyRdp7uNcnQ1cGhfquTMX874siwr26gcpy97A6KQZfoLN0CH2v3Sy94PSJzBgHIgr4cjngpVtx9YduPil3UlwgUOnnq0kQvIXtSOY50NLcqxZoPM9KkT75kpKObBa0C3KohCTmlLhC3HApLfuITIkw8wc8l3sFerpn5/FOssxd8qZ16MtfZs7JXHzOp1QYhSgfjvvos9vJTyi94BgH3oCdiHnjBrWzLTi4wnVfCYn4ZUN4X3fgUxsdvPLM0GZ/lR8OQDmFt1g7RG04gOHA4wu7yMQ7qEFGmkozIOvoMlTOL9rwRynXscEmnsnjdTKZfrlH5rHaJkUjlUM1aLqADchlCHVNeZgY6er+NQGkdUWow6dKm4JSGNPQ4Lu9WX5c5piZn9AcKZxokfB2ZvsxERxTHnA5OYAaVK3jjWqUoGmTyZsn1zy/U4qech4ycwXVZfrl2NgUNCAJLpyTsRQ3QUSsv6/SXuUmv2urtrJVBkoth6r6EaEHY5N2I6JwKH+teEEHTFVBH8dKnzae2MrZyyRHzAP/2uXdOQ6y+O5yXtqrQ9LYSevrNwiNepWQshGEgJdmUlYzM2i3vb/1qYNk4BZkg3CF15p+vdKRXgTJfb1/Zvm1EnsIt6koGfy6Eu5RztzXd2BC1HfSAjZvDPTKWWAmXyVrSlgJ+XKUpHm0X+/FKlELopfnO0fTuxkR+TS/xr088TQoTScbBXrWXmn37a8rqH5yyLUuvAobLuPJx5y/e7nh8pq+NYQwjAWWvbZ7FKAWrL+0LlxOdhHXVa6Jp9v9k3O9l0zQ9Cwp7IWxXS//wyjKlRslfcWCeEFv/J5xHlIqUXvSNcH4Bh4PTPx9y7FWNiN86Cle6a3GAm3T2rJmR/JKt7Ag/ss2q0vWpt02PmE/chcpPYy45A9oYvMXLcwNQY29lepTwMQuAMLcHc/hjmziewV69zg5t9C3Ds5UcCENn68L6vSaN5hqIDhwOMV6o0PHQSdjKGyOebnIa0e6LbqqHZq9fvqvFPGxusPVJp5czOWK2/wLNugJJOdgP1zRBCCBKuJkPePA471ea0TNqUfXG7+vUs6VVflDunJXb8ZARlEK1teROVgjIOXuDQaewpAGYP0uwhW56oey2oe+t1fdsx43xktHMvgJftCRJvG0y7JT0dxpZ6J9fx9LHYRvWk3BcSSy4FHKZk85dwIwUrDRRIxAPGE0rJoLgROJnxGatt4OA1R/cMnAmivoTIMAwGkhV2ZSNM7L6Sxb1vb7umoOZoqP65q/swoMB0uX3pyZZsP+CwuLf+9NSzM9S7CJhitNA5cKiIIcAhEulFCKdJAC4SSROPlClZgkIFUgHDtfxpWMXvYdjnYrs7Whuoea9rV5JX8EuVKoAFLf7t1mUcpJyVM9hkyytVKrQu66uc8yratEL5iMm9rLjtp8T23k35wr9ufkK5qLIEkdh+i3SRzFB6+Ydm95pSAWxLNfbWEonOqkHXe25gSdAsdRyIRBGFHKI4g5gcqStLit72G4ypEUrPf2votRVf9zHVH9Jf/Z0lo3EKr/pIaBsezrxlAJg7NmK5h/lej4gMKf7Wjtjvv0f0rt+Rf+tlgT0erV+YwOmfjzG+GzG+Gzm8hOiff4rs6sdae/asMzel574JENgL9l+4zV6hdFzM3Zv325ZG80xDBw4HmN1Z5VAs7BZN9c3e5JlqQ3OHUiVjGzhLkbLZofDKHTxbbacqFZsnDtXiZRwKziBEWzh70iGy9+3YY2uB1zVlHLoTBt1xmC7BWOSV9LcJQETpQeT0Y8A5gb5Sr9vgPFWsIAq3kIm31zuQUvrBVne8/uf2JlXGYcw5ARlrnykQ5Y3kShkgHrhXg0n1Q0ZzZaB1oOadOCe6zsQxm5W6uxIm4Phrbkdt+UyT8ykE/QllZCxfoVWtkpTSF8HrSwgqJVn3mYSayUr5Do3I0iFXUotqHFnrZxy8HpU2gZ/tSHa4fRmLanyzWie9LyEwDZgsSsqWJNai9AeqgVEyZuDpVDT2XqSjgpIlmalIX3G9lhk/41DGoSvQ2ff1SkZ/BEtfCkbzvxevVCnedTqlvvXQ0Orh243GkbEEolxUznCQJoJjqwC8U1ART+IMLUbG0/tfLmNVWHHnz3E2DgcGDn7JU8ixp8aOjUTu+SPOvKVYJzx339eFErFLfu9SymdeTPH1/7hftuxDT6Dwmo8Glt14Qm6hAwfAGVqCMT2GMbIN2wscpNwn5Wj78JObH0xmqJz3mubHO9lafgQAxpbq6fm+ZhxAqYGbmx+idPEHkJleRHbfpiqBu2fjuzH2bsXuHiD5vUuR0TjZr9w+a1vWSS/w/2w+dheRu3+PffjJKgiZ7brmLSP7zz+j3LuAgCMbjeZZjW6OPsB4pUrzuwx35Gi94rOUkkz5KgDyLRqavXKZHvtajNyPgODmSoB0RDlxM6VC4HUKt/klMV2x4MyFJ3jlTYMJRM4ADpajntuo4wAqWALYMd3e+RSVDYj8tUCz+BvUKkfbRKa/zrzMxpa2jJlfU5z8PxypmlGjNV3bQgi/OXoyRHO0IyUzFfWCdIBTPGyokqmxXJuadGqabFuMv/WCkjBTlfZm1fvanwg+Se4bfA4A44XWJ7/ZEtgOpKMOcbnZd6RrGUip+94beVP7BTlT5MfV57crHvy57Em4ytjF1pHRzikby4H5GYib9Q3y3n4bhmDIbdwemWn9mRqZcdg7I8nE1ISmoEZrgHRU/XubKQUrkXvjWOMDf4MU3YF2vIB4PDcJTnBZkDeONREVwaV6NXTqc4j/4st0/b/jif3uO23tIAS5z/yGmX/6ScugwXzsLownH1Cn9e3W1DcPxzDVVJpKwHvoq0Z3LlMCMHZtInHVl4ne+dvmZU+NYm64A7F3Wyhb/n4FqEfHfvttkl98F+bDt4Sy5cxbRuWcV+EsO6J5Xd6kp7Bqz9SU3tTeS7mAsMrIaBxi7bqQnjrsper+zC0P+U3lfsZhHwKH2M2/IHbTzzF2qN/LYh/HsQJ+7465bQNiukb8bT+Vv80n7iP+hx9gbrhz3wwYJs7C1XUlZxqNRqEDhwOMV6q0yLkSs3yf/3i9WJr6ZTRTCf7l6GcckvORiWbl0rqmT/EYAPlCc7odoFiawJEGiYhN1AzOXMS95ujSKKJwY/CNGV1Yw9+gkHo90NzjANU+h+2TZbAnwAkOZmTsaMopNbqvbXN0KYITP4lcqfUXkjFzDTMT1wDBI1R73T7QydwYotx+QkZWKkXvdFTW9QB4DKbVDxjJtxeR87ME7AZZag6MXOXo7MzWtnYAnhxTJ5+HpO+uq7v3Hdm02vOxNuVT495EpfgU5tRX/dfX0u866GP1A5eakXmm3BKkRnVtjx5DTVzJzrSeg751YhKAJekddY83ZgmGE2r61khAHbrHQ9seB+Cooemm3o1aWylT7WW+FHyTXsYhGTNcrYv6rIyUkmG3XG03LwYz+ATZzzhFqq9vCkLcP3cKHEQhi7AtVRa0n6Su+H9kPvNasDooqJsRShn1b84Y3dl02R97GjLj0G6qkvnIbaQvfwuJq74czpZXXhQwjtXc8jDRB24IvDZb/IzDLJqQpRc4jFQDB9/OLLINoIKt+E8urwsYjR2PE735l23H9waua3ARTroHIzuhRswCldNeQuHNn8Y66vRZ2QKwF6rfk8ZOFTjsq44DgHWE+n6L3H+9r27tzFI1upbIAzeQ+O4niNx/vVrTbCcqaTSajujA4QDjZRwWJjYiZTHwRDbZq06JZyrBp8TeSXR64EV+M2+rhs50LOXaCi7DmRSnAKqEp5UNTzm6WNiFmftZy3tDmJSl8sQbpyoJIVjsZhx27rmZ6OgHEaW7A83I2BrGhJrc1BVrdmITEZXRKNuCmfTb2ZNb03JJTvqFTBjP8W014ukWTE3ejjn19db3RrVuPR1rdvSEEPQPnQ3AaL79VBrPcewrXk7EqQ8O1BQjlQHKFlpkiWp4clKdUi7rDz6t9DQY2pUYedmW3qRERpubw73maIDRmQ5ZkMgipiMXAM1ZGX/6lDvhZ6rUujRs66Q69V7W0z5SGUqp6yPZ1nv14C6VSThq0C2/CMioAKTcaUIzleAKTe99C+pv8dfjakvsLQ6iVM2D7Kj/p62bEWVVHtIqY1h467+Qu/QqvwG2EZF3M00hR4xiW2oSTyOOjSgXkUJAtPPJd6HbFcEa3d68plkGDp4KsOHO6K+zNQsNBwDHLQEy9mxpGsnqC9bNwtk3H7uT+FVfwdxUr5VTeNu/kn/3F5F94VWHnSE1bcwYqe7ZvpQpecR/910VOLj3Gbn/BpLf+hjRW381O0NC4CxTzb7GrifUWpccSuWUF+EsnH0/gPcac+dGqJQR+SzSMPfpHq0jT8NesAp71VqEqxot9ydwuO86Yjf8jMjGe9RadeCg0RxwdOBwAHEcyZ6cO/Zy8fuxzCPqJyq5JGNxhICSBXaAjxNaORpIZdTpz4wTPCM8V1EORybeOuXqjd8sOAM4iVPa/ryKXRXaalWqtD3XizR6oUkTusqmMeXoLu8LzoJ4jeGdVJqd9HOYjriBQ0PpjGqOdh3ryjAyuqKtrVxN028jaoKRWzaTly2dU6gVEutH1jiXfvNwQjk203brcZfez3xyQi1m8fCpgc7nQERlUSbaTObxxd8yw9g9b65bi9/j4MZCExN3Q2Vz23V5o127W5QqdWeUAzVltXYAtk4rJ2Px0JF16/Dw9newV71ne4utp7U8ML4cgKMWVdvDa+/Pb0pP9AKQbzGBzCv3S1stsm7AsJvh2Ztr/f6PuUFcX2QTOO0DI2fRITgLVkC0RUZhFtoE0T/9kK53nUj86q81X/RKGWPJUP0PXuAgRnc0XbOXHMbMJd+h+Mq/62gHajIOUyPNzn5IZWzfVv8CnEwfRm6ieW3uKNqwOg4AkXuvI371f2I+fGvd4/aqtao2Ptq+L6qWauBQk3FwNSJm61Q781fgdPVjTI2qIInaIKR3VrYACq/7GNNX3IS9DxmGRuwVRwMQuf/P1fKirv5966tJpJm59OeULv4g5qYHlK1Zir/VYh1aHW/t9AwdkLGxGo2mHt0cfQAZK0gqthoBmkwtoVQqIe1Kk1MkhCAVVXPzS3bzL9uqAJz6e1CmwHeGvAlNLRqtPce7Ud+g1o6vHM18nK5XBD+vcCtG6Q4qxQuB4aaMA8Air1SpeDjW0L8H2gEQpQfYNNIHpFneG7yu7jiMF2C6UCJitBcSm67Zr8Z98qYqjdtrsXtPa2tnZvJPwPFkomWgeprq2UxGBemYet+yRUl3gAqzlNIfs2sM/gOVUiGgOVppRUyX2zsl4wXJdEntRV9S9bzWrkkIwUBcOZZhMg59yeaGfY9qxqGIsHYjo8tb2ts46gZ9vfVBmt8c7feotHaut7qq0Ut6q83MtbY8hjNRoMRIm0zIg3vU849c2IeUdmCJEUDazazlW1TqFMpqHWlzMnAca62a9ej0XkRFIqPNmQKv6XvhvNNwosPQ0CbQKvsQxGxO5GWmD2FbGHuaS+CEGzjIkH0JhR434zDSnHEgmfH1AEIRTyJTXYh8FpEdrytp8e8vbJZACOwVR2M88GfMJx/AqtGaqNoKHzg4i9TBi7mzdR9VWOwFKyid/zqsdedVH4zGsFavw17cOmsaiBDYa9Zj3PU7zMfuxJm/vKoa7QrXzQbZoMkRu+abEI1TPuOvZt17Ya86FmdoMcbIdiIP3oTTM7hfWQKAyG2/IX7t95BCUDn23H22Yx1/PsWLP4DTM4x1/AWtA3KNRrPP6IzDAWS33xhddVgCGzWdAumI+iIvWs1ORNZt3uwt/FvHn+kr2bbShJhUjYJdccdfUyNeLXahzaxGYW3BKN2NZSlHNWo2O0CLe9yMQzsVY+lgTl7B5l2qaW15X7MdIYQf6Mzs+gxrF/462JY9gSg/StY9lW3MFAgh6HObWSdCjHadyqn636643fIEfCihnJORANEogLKtRs1GTQJ7SgAG/Ybf9mt6ctzLyjQLrXmfpb5eVXo0VmzteHkaDn0tKqyEEMzLuDocxSPaal2ImT/x+KgK5A4ZCL4/v0clROCwtLf5V1BtlsArDRrJBX+mbEfy8F5V+nXU/PaNjOmo+nc1UwpuNM9byoFKdJ3UsqxvyM04jGSziHKwONROVwRy4eAaMHpb2gJVcpO48qPEf3hZ4PXZONbOsHfiHRA4eGNaY+3L7DzyvQuw56+Y1VShdthL1GfKfLy+fLGqlxC+vMgflfnkA/W2ZqkcDc31+qCafeM/+izRP/wgtB0A0j2UXvl32GuOr9pfvY78Jd+h9OrZj1G1DlXqyRG3wdcYd5WQ9yFw8MlPY2x5mMTPvkD8p/9Ou5HZLTEMyqe+RK3t0dvJXfoLii//231fE2AfcQr28qMovuYfsI8ImCgVem0m5ee8CevkF+igQaN5itAZhwPIjinlMCxK7UBUxnCc+ZhmgDMjYqQjeSBJMUADLOeeUKZj6hdfo7Nfe5KacRVx84URglR6Z7L3AEc1aULU0pv0HFkbrL1g9oOo/2g4yTOR0VWUhDq5ijZ83wghWORNVWoXOFBBxo5iU1bNFm+XcQCYLHfhyODpPKJ0P5Hst8lNvRo4oU7t2b8314mdLDhumYRs+WW5sahOuhb31H/h1O7XYKrA5ukuxrITrBpqPmWrioiJluVMAymJaUjG8lDOP0YsFXwa6QUOK9P3ES2OI+MXNj2nL90HTDJRDC57g2pp0YD8PUZxHrWiSN69eSNRt+dSLZt+AXZMjDJTiTKYrNCXjNTtjXe/qkfFpmyblArbiCeXNNl5bG8eiHFI+i6kPKrlJKSh2E6gn5GpncDqJjubxh0KFVjcVaIvUaFxkJM3AhkgbewAFlGYeZxGxe6KLRlzq3l6M/OhMtNkRwjhBzJ7CoPISPCvT2+q2KIeAylt//VB94eUxG69Gqd/AaWAGf3VJt3OzrAzvBRwswQNI1mNPZvVc4aa34sgRleuZ+Zlbwq8Fr3hZxjbH6dy6osDJxIFYR12ImJyb9NEJ38s6CwCB+uE55Jfejj2yqOrD5byiKlRVWs/C6Vgr7fE2L3ZFyEztm0gfu1/Y608Zp/Gnx4o7DUqcDAfuxORm8TccDtSGNirjt0ne9Fbrybxg39But9JlVNfvM/OdeXUFxN55BYqa8+GVDf2YSd2fE07ZFcfM5d8Z/91QTQazVOOzjgcQLa5DvOS9NbAUY3+SaowScXVF2WhoVRJSkmurB5LzXu3/7jRon405QYXM5VI8xQjKRlH9Sxk4sFOjhCCxT2CdBT25GBq+6Vg72l+YmQBMrGeslROZbupSjumLMzRf8bI/jjgB8ax+97PE1n1hb28t3k8rBCCLjd7PpF8P/fseEng2jGSONHVZC1VVtEVa/acvWlBkzM5Invfhijf3/QcjycmewFY2V//5VXr6A12qfrbkdKyQBte5icVyZGY/HsMZ6S50RqYl1IB356xBwKsKJ6cUE7nyu4RHNEb+JyIqfo4pIRcJfjE3RtlOpDIIUWyaUQw1IzSnXJwnNaZgkfzZwOwZtD076f2/96fu+Pq/qYL0002ZsqSLVMxoobF6p7gzI0fOCTV60dywemwB3erDT964AnArLu3xlKlAXcq1uapZid1w4hDyYKV/UZgAOqXKnk9DvkkTuzwpufly5KJgiRmOgyZnVVnnaHFyEgUY3xXdcxpDcXX/gPFF7/TV/9tSzKD09WPKBeVk16DNzrTXtwcfM2WyD1/Iv7HH2AE9D+0ovz8tzLzqV9hnfi8usfNbapHx1l8aNDLAnHmL8dae5aqq3cRpQKVM/8Ka/2FEA+XVQEgkcIeXoqwLUy3oTbyyG0A2Icc3+6VLRbnEL3+JyS/+kEoF9VoWCuM7F6AqYWrVD/H5F7iP/4cwrawDz95n8uCnL75iEIWIzeJFILyBa/fJzsAsn8++Q9/S53sHyh00KDR/EWgA4dZYjuSDSN24GmyV6KzeGAJMnZ42xKFdEJ9uRXteoe+ZIHlKMc8HlXXWtmRUpJ2Bc9m7G4wGr4wheDhSdV8urLfbGnHEILDh5WdB8bXgAxIg7h4jZ89AeX5PQlBVwxmKgbT+T0IO3hErGr6VXZWtDgcDCMiJhMnYvf/A1Mop6NRtK22OXqiFENgt5y9D/CE27C9si9Y6Rdg0J352qrMyJvMk4qUMJyxpvV4LHAd9V2lQ1qux8s4LFt0PpXIMS1PrfuSyjGxmQy0c98u9X4euvJinGhwM3IyAgMpVWo1OnZHyzU9Nq6c7kOG6j8AdafoQHdCXZ+ym+9vw4hazyEDIFLNJ5We2jPAUK/KcLVqjn50r9qjw+dlQETaNq2fvWY5ANc8uajp2j071Un4uuG94BT9e2okFRNkYmqfpgMSYTu9bEN6ArP455Zr8W2bEX+WvbFrU9PzrGPPofyid4R2qqpZh3pdhPLz3kL201dTPve1oez45KebHF+vH8DrDwhFi3n4uU9excwl38GZv3x262pAdg9QfO3HKLztX2f9Wi+Yid2gJspFHlXiY9bhzaOwO2IYxK79b6J3X0v8l/9B+t/fTuqzb5y9HQAhqJz+UsqnvRRnaAky1U1lNsrMDdiHrsc6VElHW2vPxpnffliERqPRBKEDh1lyyGWjHHtFlm1TrQOHRYOrfSemlbPnNTUX7XrnxBN/6+owUcmz6zV8zpSD+xfu3KGctPWL29d/HzGs7N1f+huILm26buT/gCjczKYxZW95b/CaPId4s3EJdtfrmp8kLXZN2xQqqtY/EwvOpnilSmFE0qbd3umgKVSZGJgC8pUIuf7/RCZbNEjbE2wcUVNLVvYHBFeuMzvoTlZqpZvgKXgnE4MUuz+KI/oDnze/WzWp7iy17ifY7AVXA8nA0Z/+SborDucYzZOVHEdyzw7XKV4UbypBg+pnaXG3em937rm16Tkej7mN0YcMBP/q8NbU43bcT5Wan/eI25Nw+LwkmAN1a2hkqFvt3958sOP8qDvhc83C6j62snX2qghxw+GuHTa7GkQK792hPkTH9d8eWMpWVz7lfgb2NpzqA2z3AoduAyceroG4Ot6yOXCYLX6fw96GPgfDQA4vRQ4sCG0r9dk30v2+0+t1A4ozGGM7kZFo6LKnWsTEnvppSNG4arSeRcM4gPnwLSS/8ZHOwnghKJ/+MpyBhdiLDoGZaYytDyPNCPbqY/fJnrVelRTGf/ttAOx9CUBcSi99L8U3foLyi95B9vI/UtlP5e3i6z5G+aQXUHz5h/bLjkajefaiA4dZsmZIOeB372g+lfczDj2dtzXlNkcbDc6eP1EpOo0oPx742toSjIgp6EkIHIk/CtbDqUxwzw5VynH8otbtLEIIDh9SNh/aE5BtkA5G9vuY0//FE+NepiC4nGO163TfuWeB7xTWYuSvYesm1Qi6vD94n2qbo7OTt7Ju0S+Cx1pKdW/+ngVkQQzD8HsvHhtr/b7IynY2TSjndGVDFqSuVCmp9mdsPFiR1BN/S8cETmQ5iOCAbYHbQO811AfhZRxW9DdrcNT+uT+l6rq2Tzc7hU+MO0yXYGGX8EvJGoXkvMcW96jPyNbScS3X9PhuVcZ2yIDdZKd2Tf5kpYDA7xE3S3DYcOtg1gvUvNKgkZwTGBg/5mYvWtmqfe+SUcG6QZVx+u1j9emCe3ap5xy7ZDGSqP/aIDvDafUmj+69qunneRmHBf3DyGSb0cY1tm03cPBm7HtEb76K2O+/hxgLztwFUTnjr8j/zWexjmw/QSwMnqqwuflB/zFzp6sDMH8lmLNrkYte9yO6/u4CEj/4l6axrLMmliR6+2+I//I/EFOjRG+9GhE0ASoEcmABuX/5P8rPfyuRx+5ESIm9ai3Ew02gaqT0/Lf6J/sAlePO3yc7QP2I02hsvxt+nfkrKL71X5DDsw/6NBqNBnTgMGuOX6ycirt3NjvYOybUhJAlXcHlMLXOR9qcBCBiTtQ9J+cHDjlA/Yx2JU8AR81Tz3tg0x/rHt+462GmSwaLMgUWdAcLwHl/P6I2cJD1DYxg4aQuwEmcwSbfmQ0OHM5arj5S125sUdfr5Nk0pRySlX31tei1eEHAVCFPd2IEZGP/Rono3rcTGfkwE64ycqMAnGf3lKXq59zwZON9VdmW7aNoRxlOVVpmQQAGM+r9H83NgNM8ncdXH462fr+klMzvUvZ3TQYrbOfLkq2TNqZwWB79fUtbAP0Z1dm8N9+c3bjLyzgNb8Kc/lZbO4t71QZuK61vtXA/47BmMPj+/JGscbXX2YlmTYRH96rPxhG9jwU6kHX/TqIOvQmbogXbG7J8jiPZMKJsrRmQ/s9v92/lZatVGdY1j1YDdseR3OcGDsesOqPlaz2G3QlUI6Vm58sbkLA4IEiro+a+/QbdnQ2Bw3U/JvHjzzWVHbXDPuQ4rBOei+yv6roY2zaQ/vRriF/1ldB2ACrHq5Pz2B++788C9nslZlOm5GIdfQYyniL6wJ+J3vAzUp99I6kvvMNXM54N9upjqRxzJqJUIPlfHyF55UdJX/7mWdvxcd8jY4c6rLEO2/csAdE4+XddgXX4SVSOORNnaXMvjEaj0fylogOHWeIFDvc2BA5SSrZPqxO4xV3V2agtexziSidgNF/f6JZ1D0IzyQFkpLlkKIhj56sv9ft2ZOsev3NXr1rzwqpj2mo9Xo/DQ7vzGNPfq78oYjhdr2an8dfMlNVYT693oJFzVqrH//h4ESauRFTqyy+crlfweOWvAXWS3orepLo27qzj7u0XgdEwMcqeQGKCiPi6Aiv6g3sTTl+uTqNveGwj5vinA53VJ6aVwuiqweCZ5p4z643j3GutBdH83IKnPs1WsLYHrkeVdCk7e8buQ1SaZ8jfu8vGkYIjB3aTELsCHVDvVN7TYJgqN5+637VdOfDrhx5BVJ5oqeMA1UxZq3G6+bLF1mwfEcNhWV+szk6jPb/ULLcRZL29R/aqsqAjM38GN1PRatysEAYnzVP7c8vm+kbr7dOSfMVgOJllIBbsXDfaPWeRet4vH43x3qvyvOjbWS76bo6ZMizqEf77226/hzLqfd/tNM+b3zGl7m1RV4v5yAFrchavwRlYSPmCN9Q8aGO6Tqy9JHzjcN3PcUupzK2PYm5+UE0OmgXW8Rfg9C/A3LOFyP3XA9XgZlb9DS5yYCGF138cgMT3P03k8bsxN9zhZzZmS+kl70EK4fck7Ou0oVqcecuQZkSJv+0PyQz5D36Dwnu+POsyLI1GozmY0YHDLFnvZRx2WHWlE6MzNkU7Sm+8QiY1GOig1fU4JNWX5VixvpzHVy9OpMBQqfJOp6hrF6lRjfdM1M+/vnNENb+tX77Qt9OKobRgOO2QLcfZNtZcuw01zcNtSoxW9sGyPoOxgsl92zYjys2TZR4dUf9f3aJOXgjBoe6J9q3bU2RLwyAaatwj87GGv0659+951C1XWROgKyCE4PSl6vHrt/ZB+YnAqVEb3Xtb1aF2f9B1LEfzqaZ+gXt2WHz9dhX5pc3dCNnsPHqfAa9UaVd+GGjj8C/pwU6e03ZNfe44XVtMqXG6tXbcjMOxq07G7goeLemtaZGnwzGRBXus6Xl37wKJ4JDBSJNGhef8+z0OSRU5TBjnAtXPXaEieXIiiikkKxcFz2uva7QWglOXqZ91y9b6z++GvWp/DxuYRkaW+3vSqqQLoFA8hn88L4ZE8PXbS/z+cYvfP+72gMyvz5K1HBGb8dSjmwOsnZMqeF8c+VPT3jQY9//ozFtG7tJfVGvhbQtj71ZEuYjTNw9mqTqMlCT++5Nk/u4C4j++3Hf67UWtG/EDMSOUL1B9SvFffQ1KeeTgQiVoto+n6NZJL6D0nDf5wbu9et2s1JlrcZYcSuFdX6Ry9Bk4vcOUT3/ZPtmpW9/RZ5D75C9xlrbuPdJoNJpnM1rHYZYsjlzPYHIZo4U0WyYdlvcpp2+7W/mwuDehmis71PD6zdFWvaO6y6157wtQJW7F2gVRoMi9e+prcj3ns7a/odUJuJSSI+dF2bvJ5r7S+6ibO+NkwSnwxJjKkqzoa31KDHD+6ghX3lHmt3tewdojmkcHes7scYtMpCwHrmn9IoOumGrG3Z1v8TEVBtuyafKVaYbT0J+q30vP7rJeJU63fSrFvZVPcLTZPNryib2TQMzt0WjtfHrN0aMNzdHZkuQ5V2b9STtrF8/DMRe1FFdY0OUJrq1Gxpv1N+5w37vjlg4px6pBtKx2TV7GQZgjGOUsTkTVVNuO5F5vWtCyFciYAbYd7MhSzTjsGN+BUdiCk3lp3fWrH1GO9XPWBDcq1zrXfo+DtbCuz+PxURtHqnGuscwJWJbVdD+NnHzIcfDnHLdsrQ+wHvMaoxesaCtkVRswW06Cj56b5owVMX7+UIUjhk2+ffsu7tzVwxkLHgGG2mZlAIbdz8DIjKOmdBlVlfEdWbU3i/qDp0C1xFPvlZLMh8/3+wfsWYwp9RECZ3gZIIj//rv+w86y2Tv75dNfRuy338Hc+gipr/0t+ff+B+XzZjmZqYHSxR+g/Nw3YT5xL3ZIHYhWWGvPwlp71n7ZqCORRibSnZ+n0Wg0z1J0xmGWCByOG1LlDr9/zOL6TRWeHLdrGqM7O/xSSl/xWYo82CP+tVu2qP6I4+e1n5Fe66QdPmwSNVVGwGsULlmSe3dVHfQwrHMDjOuerD9JNQp/Jjp2CU/uVkq5rTIOoMo5zlut7Pxm0zKI1DTsSsnE9i+wddIhHYM1g63txCIGZ61Q696Un8Cc/GpgMOaN4zx0qLUtIQRnrlAO3Z+3DTU5mZP5Ijc+obIQq/qa+w1q8ZWDcxXE1Pf8Nf3wvjLTJThuocnt7+7iA+ceCaK+nKcWr8ehVXP0XQHTsFo5sl7AtCs3hDSqGaxfPFQhX4HVA9SV4LSy5QUO23L9/tp98jfwqwdVFuJFhzc3aDZlHFo0R3//HhVZHd1B5bnW1gmLI0QMuH+3XTdla8OI9953brKuQzqcNXwtXzjrF7z1hBh/eFuaP7zyat55+uJQa/J6HEbH78GcqFd33zGtAoAF805VP6pFX5HRIngT47sQuUkMt8zIPnQftASA8oVvYObv/5vK2rOoHHcexZd/COvIU2dvKJEm/7ffUKVUZ7/qgJXdyEwv1tqzw+lTaDQajeagQWccZkv6FNYt3cXvtsJ7flmd9BMxJCBY0lN1UoKEtry/e6NDY7EdGMWdOGklpHPTZhuIcMbwjUD1tLHdiWwsIjhyWHLvLsGDT97MKYeeyp3bSpQsOGpgD6ocvXUdsef0XXRElH+7ocTPHijzr+ftQhgxiC5BRg9DGt1VgbQ+Eeg/eI7V+aujZGJw61abh7dv5sjBEWTsUMDgnp2qBnztggiGCL437+/nrjK4eoPNnSMpjNLt2PaLIaJyIcb0dxHOBI/ufgWQ4LChAAexhrNWRvjBvWV+/3iFd51a7U3YOe1w1tfybJtaQiZa5pQVA0Bz8OCtqSuuxsiO5k3edNUCXrJuhEV9/Vzplii957Q4xyxon+EBGM4IDKH0IMrlPLGI8HU4xvMOT4w5JCIWR/VtRMrgU2dvvz2Ru+3Ti5AJ5fw6juTTf1T38YFjfoEorkUmgqclee//IrfvYudMD5Xk86sFVNJmw9YbeWLyKIZSFicvNXEaFYBdG55Ks6epMZEdwZjZgJO+kLu3F/jSzUUMIfjbM1qXpzTuWSomWLcQ7tgOt20ex6abb94xwx3bSkCsaaJSu38r4GBOX4koP4iMHgpCEI8Pcdox7cWw6kuVlP09MwmEM650T4RJpTzBnhkwBMzPtF5DNBqlK5MJXKccWEj2SzdjjO5AFPP7dSLvrDiKwru/tM+v9+3MX0Huk7/c74k+Go1Go/nLR2ccZokw0hy3tHpKdsSwQdQEy1FOwJIuVVLSqcdhnZsF+NWmo7Fkhof32OyYctg4HiEVtTl28UBLO0Gsnafqve/dsgGsLdy0WTmypy/aCkaXb6tdqdKJS0yW9gp2TEtue/jHmDNq3KSMrcLq+weemFJlR0GjWGvpigtec6xyDL904wTfuOFeHth0HYg4d0yrOvvjO2RBhBCc72Yu/rBtDcXM28FwpwY5RYzCDYjSfTwyqoIAryeiVZPtcw+NIgT88YkyM3u+jsiruu//ur3EtinBMfNNbnpnPwsDpk/VjiwVQvDNl6dJR21+sOF4XvHDKKd9Ncu9u2wGUoK/WvojZVtWAgMZz8E2DcE817kc2/oxjOIt/nO8bMO6wW3Eyzc0raMRb8zqE9k4M2Wl2/DBqws8vNdhSXeRNx1+E6L8kP/8Vvoi8Yhak+3Arqxau+NIECY/3/EWAJ5/WArTEC0/Sx5HzVPv7y8fjXDf5vs49+tTnP61Ao40ePe6ezhuUfVXT9A+NWYKTpuvtATe8jObi76b46pHJDtzypH1MletAsd6WwZO/Hic5DnYmRe3XH+7+5vnZhwen15JvvfzjBcEcuwKrr3rW0gJS3oNIjU9IJ32qol4CmfRIWok6MGipquDBo1Go9GgMw77xHPWRHnz+hgnLJzhjcebfPzaGJffoE5gF/U1axcEcerSCCv6DZ4c7+b1vzqenz04zXJ3POlJS+OYPS9p+/rGOvUTlvXxnXvzXHr7i1l3eC83bS0ADqccclSg6FcrmxcfHePfbijxubtfwIP5GG84SRKLCCwxxMYx1cihSpWC1aU9J/RvTorz9dtLfOuB5XyL5Rz5MNz1vih37e4HKn7g1MoGwLJewSGDBo+Pxvj+hnW84bi4q2ptYQ1ehqhs5NFRE7BZMxicBfGYlzE4ZWmEm7dY/PaxAi8/8lasxOn85AEVcH3meUkOHY76J+btuHBNlD/+TS+XXVekZMHt28qM5gVvXV8hXfkT0kpiJU+tu5fG/QFVrrQra7NzpodFTnUs7/Wb3N6UxVGcVPAM+Fo7RwwbnLjE5PZt8NofjPLbx00k6ud+9Nw+zMEP4MTUyXW7rAzAkh6DPTmbK27Ms2HnFu4f6ecbLx/kP26LAZKLjmzd31C7ppOXmpy2PMJNm1Oc8eO3ULQcTEPwgtUz/OOFy5v0LVoFah4XH5Phm/cX2TOTIGbC356aZXRyE0P9R7Gsr72txnuWieOQtNaqaBWse39fM2hw2JDBoyMO7/5lgZ8+UGZR5iUgVbD+7lP2rdlXo9FoNJqDHR047APxiOArz3uC6NRXkLkj+PDZ7+XyGyYBWNrX/iTVwzAErz02xqf+WORnD6qmU08p+LRl4d6WWvuvPy7GNRsqXP0ovOjbWb8d4LRV8+ue3y7jAPBXR6nA4deblvDrTbAtX+QTFyT534cqTBUlqwYMhtJgWcG1256do+Z7jqNygh/aCxtHbe7aWd+w3apR1+MjZyd4y0/zfOQ3BZ67usgC62uAhd13CU78RB7dq4KZQwcNoNnpr7V/0RFRbt5i8cMnX0q0v5/EmMPjow7DaYezV0Sa9rSWxhPwtQsj/M9rMojKE1h7P8/9E4dwzGFvxqq8BeHk3SlQpUBbHgu6DO7BZof5IY7PqIbMJ0an+PLN6j5efOxhyGgUpGx7ai2E4B/PT/LCb+W45nF1H69Z6/Dqdd1ccEgUyZGBr6n9s3dv7z8jwRt+NMOXbq4AahrXi76tsmhnrojw3BaN0Z4dL/ASQvAP5yZ4/jdzFC3Bin6Dm/5fF/2pfRu9uX7VUez4+xEeHu1iKGOwsLsP5OKmfpWg8sADQW0wY5oGl16Y5BXfn+G7d6vA8/EJ1eC+ot/g7SdVA4dZZxs0Go1GozmI0aVK+4iMLAMjhTT66UkIbnhHF//y3CSnL693+ts5169dV03/Hz1QVYc9tcFGkDPUaDceEfzwNWlecmSUbAlyZVjaa4RSsa5d03GLTP7mxDhnuI70F28qsn3K4fN/Vr0J7z89EdoR+ubFKT55YZLnHaqczS/fXGLHlCQTg0MGjJYnu7Vres2xMY4fzDFekKz4nEP/l/6a7ivexvuummDDiMNkUdKXFAy3GIRSe28vPkKt45cbunj5Dyq+Q3zxqtuJiELT6xr/HBRUyMgy4okB1i9OYhoRZPJ0nPSFofZnmRtkfvo6mwd2W9yzZStv++ETFC141dqY39AdtKbGv5+3KsLR/arn5lVHjnLlS20uOCRcmUvtHl18dIxfvCHDQArOXC45T4kak4rCV1+awjDq98VbQ9AenbMywvmrIySj8J1XpJumXtU+v3G/a4MQj2hsiLULI35pVlDQ0Gir8f4OFC86PMrJS1Wm47TlES46IkrUhMufn1T9KhqNRqPRPAPRGYd9xejCGvgE2KrE5IQlEU5YUt3OTj0OACv6TS5cNMmTpT6ufl2Onzy8m/tGFnPG8n17WyKm4Bt/leaRvdNsGHE4bR/sCCH44kVqrOurf5Dj5w9VeO6VWTaOOczLCF6/Loa0g0/SG8tVlvWZfPgsk/99sMz/bajwtdvU655/WBTDELSqCmrsKfjg0bv5zMNreGiP0pkA+M874KpHsr49aK327LGi3+TkpSa3brWZnxHszql1vuLYXl8zY9aICFbfR/3G5kaCTpy9/Xnf6XF+93iF+3bZnPClLNAFdDGQKPDZ53U3Pb9dwCaE4GPH7mBv11pev241oo1ydScuXBNl69/3YhqCXEly2XVFzloZYdVA+ElI3t9/9voMM2UZGDQ8Hexr0BCUCavNOgkhuPLiNN+9u8x7To0zmDaYKUvSMR00aDQajeaZiw4c9geju1nReJZ85NhdnHrqCuBE3h0wjryV02gYRmA9fldc8LPXZbjsuiIfOCNYBTkIzymq/Tmfek6SXz9a8cXR3ntagkRUULQ7N2vXcuEhUeIRKFnq5PrTzwnnpHv3viBV4a739lCxJfkK/PzBMu/4eZ7dOcnSXoPPvyCJlMWOZVgAP3pths3jDicuMbl2o8VkQXLymmAhsnZ26mgRNLSy47G8z+SGd3Tx/l/luXWrje1ILjosz7tOthnu6uykQ/0J/1DS4qIT29fXtyudqb1mupmFTFzwqec031/YEpx4RBDfhxP4fS3veapKg4L2e9WAyScuqO5NUNDwVJVOaTQajUYzF4gDncKfa4QQI8CWp/jHhPIEhBBCSulQK53b/NoBoFmmt94OUr1RsuFxYzbvXys7+2ErKGcg3PveXzu1a+q4R+1sHaB7m9V9tbM12/XU2Gl87xrXtM/7tB9rekrs7Ketdvu0P5+lA/YZMMA4mFsfHMmgIRid63Uc7Oh96sxf8h5JCU5Q89yBZ5mUcpaqkRrN3PCMCxz+0hBC3CmlXD/X6ziY0XsUDr1PndF7FA69T+HQ+9QZvUcazTMLnUPXaDQajUaj0Wg0HdGBg0aj0Wg0Go1Go+mIDhzmnq/P9QL+AtB7FA69T53RexQOvU/h0PvUGb1HGs0zCN3joNFoNBqNRqPRaDqiMw4ajUaj0Wg0Go2mIzpw0Gg0Go1Go9FoNB3RgYNGo9FoNBqNRqPpiA4cNBqNRqPRaDQaTUd04DCHCCE+M9drOBgRQpwphDjU/fNpQogPCSFeMNfr0mg0Go1Go3k2E5nrBTxbEEJ8sfEh4PVCiAyAlPK9T/+qDj6EEF8ATgQiQojfAucB/wd8QAhxtpTyw3O5voMJIcRhwCLgNillrubx50opr5m7lR0cCCFOAh6RUk4LIZLAR4DjgIeBz0gpp+Z0gQcR7mfpItTnCWAH8Esp5SNzt6qDGyHEd6WUb5jrdRxMCCFiwKuAnVLKa4UQrwFOBR4Bvi6lrMzpAjUazX6jx7E+TQghtgHXA79DBQ0AlwMfApBSfmeOlnZQIYR4CDgKSKKcl0VSyrwQIgrcI6U8ak4XeJAghHgv8C7UF/KxwPuklFe51+6WUh43h8s7KHA/S2ullJYQ4utAHvgpKhhdK6V82Zwu8CBBCHEJ8Grgh8B29+HFKAfwh1LKy+ZqbQcLQohfNj4EnAP8EUBK+eKnfVEHIUKI76MOJFPAJJAB/hf1b05IKf967lan0WgOBDrj8PRxBPBJ4LnAh6SUO4UQ/6QDhiaklFIKIRzv7+7/HXRpXS1vA46XUuaEEMuBnwohlkspr6AamD7bMaSUlvvn9TXB1I1CiHvnaE0HI28Bjmw8DRZC/BvwEPCsDxxQgdTDwH+hficJYD3w+blc1EHI0VLKY4QQEdTBz0IppS2E+G/gvjlem0ajOQDowOFpQkqZBd4vhDge+L4Q4tdoRziIXwshbgASqC/pHwshbgXOAv48pys7uDC88iQp5WYhxNmo4GEZOnDweFAI8SYp5beA+4QQ66WUdwoh1gC6ZKKKAywEtjQ8vsC9plFBwvuAfwA+LKW8VwhRkFJeP8frOtgw3HKlNCrr0AOMA3EgOpcL02g0BwZdqjQHCCEE8E7gFCnl6+Z6PQcbQohTUJmHW4UQq4CXAluBn0optSMDCCH+CHxQSnlvzWMR4JvAa6WU5lyt7WBBCNEDXAGcAYyi+hu2uf+9V0qpT0BRPTHAl4HHUXsDsBRYDbxb98tUEUIsBv4d2AO8WEq5dI6XdFAhhPgA8B7ARGVjLgI2ASejfn9/Yg6Xp9FoDgA6cHiaEULMo6YBUUq5Zy7Xc7Ci96k9rgNjSSl3B1w7TUp50xws66BECNENrEBlWLfrz1IzQggDNZSgtjn6DimlPXerOnhxp7ydJqX86Fyv5WBDCLEQwC3H7QXOB7ZKKW+f04VpNJoDgg4cniaEEMcCX0Olbne4Dy9GNZC9U0p599ys7OBC79P+I4TI1E5Z0jSj90ij0Wg0mtmja+yfPr6NmnxzuJTyfPe/w4D3A9+a05UdXHwbvU/7y8NzvYC/APQeuQghjhFC3CqE2CaE+LoQoq/mmj4lBoQQR+s96oz+LGk0z3x0c/TTR1pKeVvjg24df3ouFnSQovcpBEKID7a6hBqB+KxH71Fo/gP4Z+BW4K2oqVMvllI+gW5o9fgqeo/CoD9LGs0zHB04PH38nztJ6btUGxCXAG8AdPNhFb1P4fgM8DnACrimM4kKvUfh6KppgL5cCHEXcI0Q4vVUxyE/29F7FA69TxrNMxzd4/A0IoR4HsHqrL+Zu1UdfOh96owQ4mbgPVLKuwKubZNSLpmDZR1U6D0KhxDiPuDMWiVtIcQxwM+AfinlwJwt7iBB71E49D5pNM98dOCg0fwFIoQ4FBiXUo4EXJunJwfpPQqLEOI1wCYp5a0Njy8FPi6lfNvcrOzgQe9ROPQ+aTTPfHTg8DThzpT/e9RJ+jxU2nYvcBVwmZRycu5Wd/Cg90mj0Wg0Go3m4ETX+T59/BiYAM6RUnop23NQY0Z/PJcLO8jQ+xQCIUSPEOIyIcSjQohxIcSYEOIR97HeuV7fwYDeo3DofeqM3qNw6H3SaJ756MDh6WO5lPJfawW7pJS7pZSXAcvmcF0HG3qfwuEFWGc3BFgT6ADLQ+9ROPQ+dUbvUTj0Pmk0z3B0qdLThBDid8C1wHe82mpXHfmNwAVSyvPncHkHDXqfwiGE2CClPHS2155N6D0Kh96nzug9CofeJ43mmY/OODx9vBIYAK4XQkwIIcaB64B+4BVzubCDDL1P4dgihPg7N6gCVIAlhLiE6hjbZzt6j8Kh96kzeo/CofdJo3mGowOHpwkp5QRK+fjdwBI3jXu4lPIS4MS5Xd3Bg96n0OgAqzN6j8Kh96kzeo/CofdJo3mGo0uVniaEEO8F3gU8AhwLvE9KeZV77W4p5XFzuLyDBr1P4RFCHAYsBm6VUuZqHn9ujQjTsxq9R+HQ+9QZvUfh0Puk0Tyz0RmHp4+3AcdLKV8CnA18XAjxPveamKtFHYTofQqBG2BdhcrMPCiEuKjm8mfmZlUHF3qPwqH3qTN6j8Kh90mjeeYTmesFPIswvNMXKeVmIcTZwE+FEMvQDnEtep/C4QVYOSHEctQeLZdSXoHeJw+9R+HQ+9QZvUfh0Puk0TzD0YHD08ceIcSxUsp7AdxfrC8EvgkcPacrO7jQ+xQOHWB1Ru9ROPQ+dUbvUTj0Pmk0z3B0qdLTxxuA3bUPSCktKeUbgDPnZkkHJXqfwrFHCHGs9xf3y/qFwCA6wPLQexQOvU+d0XsUDr1PGs0zHN0crdH8BSKEWAxYtUJ5NddOk1LeNAfLOqjQexQOvU+d0XsUDr1PGs0zHx04aDQajUaj0Wg0mo7oUiWNRqPRaDQajUbTER04aDQajUaj0Wg0mo7owEGj0TxrEEJsFkIsF0Jc1+L6dUKI9R1svF8IkQrxs65zf9bmfVutRqPRaDQHFzpw0Gg0mtnxfqBj4KDRaDQazTMNHThoNJpnEyOADYwDCCGSQogfCiEeEUL8HEh6TxRCfFUIcacQ4iEhxCfcx94LLAT+JIT4k/vYhUKIW4QQdwshfiKEyLgmxt2fNfL03Z5Go9FoNE8deqqSRqN51iKE+CBwlJTyzUKIY4C7gZOllHcKIfqllONCCBP4A/BeKeX9bunReinlqBBiEPhf4HlSyhkhxCVAXEp56Vzdk0aj0Wg0TxVaOVqj0TybORP4IoAbFNxfc+0VQoi/Qf2eXAAcAdzf8PqT3cdvEkIAxIBbnupFazQajUYzF+jAQaPRaBoQQqwAPgScIKWcEEJ8G0gEPRX4vZTy1U/n+jQajUajmQt0j4NGo3k282fgNQBCiKOAY9zHu4EZYEoIMQ94Xs1rskCX++dbgdOEEKtdG2khxJqnY+EajUaj0Tzd6IyDRqN5NvNV4FtCiEeAR4C7AKSU9wkh7gEeBbYBN9W85uvANUKInVLKc4QQbwT+RwgRd69/DHjs6boBjUaj0WieLnRztEaj0Wg0Go1Go+mILlXSaDQajUaj0Wg0HdGBg0aj0Wg0Go1Go+mIDhw0Go1Go9FoNBpNR3TgoNFoNBqNRqPRaDqiAweNRqPRaDQajUbTER04aDQajUaj0Wg0mo7owEGj0Wg0Go1Go9F05P8DXyGEeoXX86YAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot(amazon,\n", " nlead = 150,\n", " dynamic = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This concludes the fundamental lessons on machine learning algorithms in VerticaPy." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }