-
Notifications
You must be signed in to change notification settings - Fork 11.2k
/
chap05soln.ipynb
2063 lines (2063 loc) · 766 KB
/
chap05soln.ipynb
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 5\n",
"\n",
"Examples and Exercises from Think Stats, 2nd Edition\n",
"\n",
"http://thinkstats2.com\n",
"\n",
"Copyright 2016 Allen B. Downey\n",
"\n",
"MIT License: https://opensource.org/licenses/MIT\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from os.path import basename, exists\n",
"\n",
"\n",
"def download(url):\n",
" filename = basename(url)\n",
" if not exists(filename):\n",
" from urllib.request import urlretrieve\n",
"\n",
" local, _ = urlretrieve(url, filename)\n",
" print(\"Downloaded \" + local)\n",
"\n",
"\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/thinkstats2.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/thinkplot.py\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import thinkstats2\n",
"import thinkplot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponential distribution\n",
"\n",
"Here's what the exponential CDF looks like with a range of parameters."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHHCAYAAABDUnkqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACDfElEQVR4nO3deXyU1dk//s/sSyaTZLLvCwlhC0FW2QQUQUQrtlarraJVq63UWp72KbTufQrt96kWf5aWR61Sl7rWrYigssomshNIQkL2fc9Mltnv3x+BwJ2ZhAQms+Xzfr3mBXPue2auTCYz15xznXMkgiAIICIiIgoSUl8HQERERORJTG6IiIgoqDC5ISIioqDC5IaIiIiCCpMbIiIiCipMboiIiCioMLkhIiKioMLkhoiIiIIKkxsiIiIKKkxuiGhEmz9/PubPn39Zt5VIJHj66ac9Gg8RXTkmN0RBYOPGjZBIJP1eDhw44OsQfer06dN4+umnUVZW5rMYjEYjnnnmGeTm5kKn00Gj0WDChAn4zW9+g5qamt7z7r33XtHvTqfTISMjA7fddhv+/e9/w+l0utz3/Pnz+/3dFxQUePPHJPILcl8HQESe8+yzzyI9Pd2lPTMz0wfR+I/Tp0/jmWeewfz585GWliY69sUXXwz745eUlGDhwoWoqKjA97//ffzkJz+BUqnEiRMn8I9//AMfffQRzpw503u+SqXCK6+8AgDo7u5GeXk5/vOf/+C2227D/Pnz8cknn0Cv14seIykpCWvXrnV57ISEhOH94Yj8EJMboiCyZMkSTJ061ddhBBSlUjms92+32/Hd734X9fX12LlzJ+bMmSM6/oc//AF/+tOfRG1yuRw/+tGPRG3/8z//gz/+8Y9YvXo1HnzwQbz77rui42FhYS63IRqpOCxFNII89dRTkEql2LZtm6j9fE/C8ePHAQA7d+6ERCLBu+++i9/+9reIi4tDSEgIvvOd76CystLlft9//31MmTIFGo0GUVFR+NGPfoTq6mrROffeey90Oh2qq6uxbNky6HQ6REdH41e/+hUcDofoXKfTiXXr1mH8+PFQq9WIjY3FQw89hNbWVtF5aWlpuOmmm7Bnzx5Mnz4darUaGRkZeP3113vP2bhxI77//e8DABYsWNA7XLNz504ArjU3VqsVTz75JKZMmYKwsDCEhIRg7ty52LFjx9Ce7HP+/e9/4/jx4/jd737nktgAgF6vxx/+8IdB3deqVauwaNEivP/++6KeHiISY3JDFETa29vR1NQkujQ3N/cef/zxxzFp0iTcf//9MJlMAICtW7fi5ZdfxpNPPonc3FzR/f3hD3/AZ599ht/85jd49NFH8eWXX2LhwoXo7u7uPWfjxo24/fbbIZPJsHbtWjz44IP48MMPMWfOHLS1tYnuz+FwYPHixYiMjMSf//xnzJs3D8899xxeeukl0XkPPfQQfv3rX2P27Nl44YUXcN999+Gtt97C4sWLYbPZROcWFxfjtttuw/XXX4/nnnsOERERuPfee3Hq1CkAwDXXXINHH30UAPDb3/4Wb7zxBt544w2MHTvW7XNoNBrxyiuvYP78+fjTn/6Ep59+Go2NjVi8eDGOHTs2+F/GOZ9++ikA4O677x7ybd25++67IQgCvvzyS1G7w+Fw+d13dHR45DGJAo5ARAHvtddeEwC4vahUKtG5J0+eFJRKpfDAAw8Ira2tQmJiojB16lTBZrP1nrNjxw4BgJCYmCgYjcbe9vfee08AILzwwguCIAiC1WoVYmJihAkTJgjd3d29523atEkAIDz55JO9bcuXLxcACM8++6wonquuukqYMmVK7/Wvv/5aACC89dZbovO2bNni0p6amioAEHbv3t3b1tDQIKhUKuG//uu/etvef/99AYCwY8cOl+du3rx5wrx583qv2+12wWKxiM5pbW0VYmNjhR//+MeidgDCU0895XKffX++sLCwAc+52PLly4WQkJB+jx89elQAIPzyl78U/QzufvfLly8f9OMSBRPW3BAFkfXr12P06NGiNplMJro+YcIEPPPMM1i9ejVOnDiBpqYmfPHFF5DLXd8O7rnnHoSGhvZev+222xAfH4/Nmzfj0UcfxaFDh9DQ0ICnn34aarW697ylS5dizJgx+Oyzz/DMM8+I7vPhhx8WXZ87dy7eeOON3uvvv/8+wsLCcP3116Opqam3fcqUKdDpdNixYwfuuuuu3vZx48Zh7ty5vdejo6ORnZ2NkpKSAZ+r/shkst7nzOl0oq2tDU6nE1OnTsWRI0eGfH9Go1H0HF4pnU4HAL09b+elpaXh5ZdfFrWxmJhGKiY3REFk+vTpgyoo/vWvf4133nkHBw8exJo1azBu3Di352VlZYmuSyQSZGZm9k6pLi8vBwBkZ2e73HbMmDHYs2ePqE2tViM6OlrUFhERIaqlKSoqQnt7O2JiYtzG1NDQILqekpLick7f+xyqf/7zn3juuedQUFAgGgZzNxPtUvR6/WUnWu6cH2rqmzCFhIRg4cKFHnscokDG5IZoBCopKUFRUREA4OTJk1573L69SO44nU7ExMTgrbfecnu8b3LU330KgjD0AAG8+eabuPfee7Fs2TL8+te/RkxMTG890dmzZ4d8f2PGjMHRo0dRWVmJ5OTky4rpYnl5eQA4vZ9oIExuiEYYp9OJe++9F3q9Ho899hjWrFmD2267Dd/97nddzj2fAJ0nCAKKi4sxceJEAEBqaioAoLCwENdee63o3MLCwt7jQzFq1Ch89dVXmD17NjQazZBv745EIhn0uR988AEyMjLw4Ycfim731FNPXdZj33zzzXj77bfx5ptvYvXq1Zd1Hxd74403IJFIcP3111/xfREFK86WIhphnn/+eezbtw8vvfQSfv/732PWrFn46U9/KqpvOe/1118X1XZ88MEHqK2txZIlSwAAU6dORUxMDDZs2ACLxdJ73ueff478/HwsXbp0yPHdfvvtcDgc+P3vf+9yzG63u8zAGoyQkBAAGNRtz/cEXdzz880332D//v1Dflygp04pJycHf/jDH9zeh8lkwu9+97tB3dcf//hHfPHFF7jjjjtchgyJ6AL23BAFkc8//9ztcvuzZs1CRkYG8vPz8cQTT+Dee+/FzTffDKBnKvekSZPws5/9DO+9957odgaDAXPmzMF9992H+vp6rFu3DpmZmXjwwQcBAAqFAn/6059w3333Yd68ebjzzjtRX1+PF154AWlpafjlL3855J9h3rx5eOihh7B27VocO3YMixYtgkKhQFFREd5//3288MILuO2224Z0n5MmTYJMJsOf/vQntLe3Q6VS4dprr3Vb13PTTTfhww8/xK233oqlS5eitLQUGzZswLhx4y5rarVCocCHH36IhQsX4pprrsHtt9+O2bNnQ6FQ4NSpU/jXv/6FiIgI0Vo3drsdb775JgDAbDajvLwcn376KU6cOIEFCxa4TJ0noj58PFuLiDxgoKngAITXXntNsNvtwrRp04SkpCShra1NdPsXXnhBACC8++67giBcmAr+9ttvC6tXrxZiYmIEjUYjLF26VCgvL3d5/HfffVe46qqrBJVKJRgMBuGHP/yhUFVVJTqnvynOTz31lODureill14SpkyZImg0GiE0NFTIyckR/vu//1uoqanpPSc1NVVYunSpy237Tu8WBEF4+eWXhYyMDEEmk4mmhfc91+l0CmvWrBFSU1MFlUolXHXVVcKmTZuE5cuXC6mpqaL7xCCmgp/X2toqPPnkk0JOTo6g1WoFtVotTJgwQVi9erVQW1vbe975KfPnL1qtVkhLSxO+973vCR988IHgcDjc/rzjx48fVBxEI4FEEC6z6o6IgtbOnTuxYMECvP/++0PuJSEi8jXW3BAREVFQYXJDREREQYXJDREREQUV1twQERFRUGHPDREREQUVJjdEREQUVEbcIn5OpxM1NTUIDQ0d0pLsRERE5DuCIMBkMiEhIQFS6cB9MyMuuampqfHI5nVERETkfZWVlUhKShrwnBGX3ISGhgLoeXL0er2PoyEiIqLBMBqNSE5O7v0cH8iIS27OD0Xp9XomN0RERAFmMCUlLCgmIiKioMLkhoiIiIIKkxsiIiIKKkxuiIiIKKgwuSEiIqKgwuSGiIiIggqTGyIiIgoqTG6IiIgoqDC5ISIioqDi0+Rm9+7duPnmm5GQkACJRIKPP/74krfZuXMnJk+eDJVKhczMTGzcuHHY4yQiIqLA4dPkprOzE7m5uVi/fv2gzi8tLcXSpUuxYMECHDt2DI899hgeeOABbN26dZgjJSIiokDh072llixZgiVLlgz6/A0bNiA9PR3PPfccAGDs2LHYs2cP/vKXv2Dx4sXDFSYREdGIJAgCnM5zF8EJh0OAUxDgdDrP/dtzcTid58453+aEXC5DYky4T+IOqI0z9+/fj4ULF4raFi9ejMcee6zf21gsFlgslt7rRqNxuMIjIqIRzul0wu5wwmZ3wG4/9++56w6HuK3n0tPmOP9/hxN2+0X/d/QccziccDh7jjkFZ+95Due5i6MnoTh/nsPRk3DYHc6edqcAx/n/O3oSk/PnnE9Mem57UeLicEK4guciIzka//ur73nsuR2KgEpu6urqEBsbK2qLjY2F0WhEd3c3NBqNy23Wrl2LZ555xlshEhGRjwmCAJvdAYvV3nOx2WG12mG12WG1OXqu2+yw2S6cY7X3HLPbHT3H7A5YbQ63bT2Jy7ljjp7rtnNJi9Pp9PWP7zeczitJja5MQCU3l2P16tVYuXJl73Wj0Yjk5GQfRkREROfZ7Q50W2w9F7MV3WYbusxWdFtssJxrN1ttsFjsMFtt6DbbYLHZYTb3tJstNlESY7HaYbXarqjHgTzDl4leQCU3cXFxqK+vF7XV19dDr9e77bUBAJVKBZVK5Y3wiIhGFIfDic5uCzq6LOjstqCz24qOLgu6uq3o7Lb0Jirn/9/ZbUGX2YaubktvAuNwsKeDPC+gkpuZM2di8+bNorYvv/wSM2fO9FFERESBz+l0wtRpganLjI5OC4ydZnR0mmHqssDU0Q1TlwUdneae9osSGbPF5uvQA4pUIoFMJoVCLoNcLoNcJu29yETXZZDJJJDLLrRJz593/l+p+DyJVAKZVHKuTQqpRAK5vOc8mUwCqeTcv9LzbVJIpRLIpOf/PX/sojaZFJJzMUsv+lcqPXeR9Nymb9v52/mST5Objo4OFBcX914vLS3FsWPHYDAYkJKSgtWrV6O6uhqvv/46AODhhx/GX//6V/z3f/83fvzjH2P79u1477338Nlnn/nqRyAi8ktmiw0t7Z1oM3WjzdQFo8mM9o5utJu6Yew0o93UBWNHT8Ji6ugO+mEcCQClUgGVUg6lQgalXAalUgGlQtbTJpdDqZRDIZdCqeg5RyGXQaGQQyGXnbuNHArFheRE4eZyPmm5cP3c+TIppFKum+stPk1uDh06hAULFvReP18bs3z5cmzcuBG1tbWoqKjoPZ6eno7PPvsMv/zlL/HCCy8gKSkJr7zyCqeBE9GIIAgCusxWNLd1oqW9Ey1tnWgxdqHN2IVWYxfaTOf/3w2LNfB6VSQAVCoFNOcvaiXUKgXUSgVUKjnUSgU0avF1tUoO1bmkRaWQQ6WUQ61SQHnu/+fb/aE3gbxHIghCsCfsIkajEWFhYWhvb4der/d1OEREvbrNVjS0dKCx1YSmlg40t3Wgub0TzW0daGnrRHN7l98mLTKZFDqtCjqNClqNEiEaFTRqJUI0SmjVSmjP/3vR/zUqBTQaZW8yo1YpmIBQv4by+R1QNTdERIGsq9uK+mYj6pqMaGw1obHFhMaWDjS2dqCxxYTObsul72SYqZQK6EPU0IWoEKpVI1SnRqhWBV1Iz7+hIWqEXJTE6LQq6LQqKBX8OCH/wVcjEZGHCIKAVmMX6pt6Epi6ZiPqmtp7r5s6zV6PSa1SIDxUg7BQLcJ0auh1GoTpNNDr1D3/hmp620O1aigUMq/HSORpTG6IiIbIarOjtrEd1Q1tqK7vudQ0tKG6oc1rM4hCQ9QwhIXAEKZFhD4EEXotwvUahOu1MOhDEBaqQYReC7VK4ZV4iPwJkxsion5YbXZU1bWivKYFFbUtqKxrQU1DOxqajcM6uyg8VItogw6R4TpEhetgCA9BZFgIDOEhvQkNh4GI+se/DiIa8ZxOJ2qbjKg4l8RU1DSjorYFtY3tHk9iJAAM4SGIjdQjKkKHGEMoos9doiJ0iI7QMXEhukL8CyKiEcXhcKKqvhUllU04W9mIkqomlFY1wWqze+wx5HIZYg2hiIsKQ2zU+X/1iIvSI8YQyuSFaJjxL4yIgpbD4URFbQtKqhpxtqIJJVWNKKtuhs3u8Mj9G8JCkBgbjoTocCTG9lwSYsIRHaHjlGYiH2JyQ0RBw9jRjTPlDThTWo+C0joUVzRe8bowEgCxUXokxxmQEm9AUlw4EmMikBATBo1a6ZnAiYKAIAho77KhpdOK5g4rQtVyjEnwzXpyTG6IKCAJgoCK2hYUlNShsKweZ8rqUdvYfkX3GRaqQUq8AanxkUhJiEBKvAHJcQbOOCIC0GWx9yYuLR1WtHZa0dLZ8//mDivau2ywOy9UqU1OC2dyQ0Q0kPPJzMkz1cgrqsHps7VXtOhddEQoRiVHIT05GqOSo5GRFIWwUI0HIyYKHIIgoMNiR5PpfLJiQfO5pKXJZEFLhxVd1qEN57Z2+m41bSY3ROSXepKZVuQVVeN0cQ3yimvQ0XV5yUxspB4Z5xKYUSk9/4aGqD0cMZF/s9gcaDRZ0GTqSVh6/n/ueocFFpvTo4/X0mn16P0NBZMbIvIbbaYuHMuvxJH8SpworLqsFX2VCjkyU6IxJj0Oo9NjMTo1lj0yNCIIggCT2Y4GowUNRjMajBY0GnuSmAajBR1mz80IHIhcKkFEiBKRoUoIguCT4nomN0TkM06nE2fKGnA0vwJH8itRUtk45PuIMYQiOz0O2emxyE6LRWpCJGQy6TBES+R7giDA2G1HXbsZDUYz6tt7EplGowUNJs/3vrgTrlUgIkQJg04Jw0X/RoQoEKlTQa+R+3y2IJMbIvKqdlM3jpyuwJH8ChwvqBpy3UxspB7jMxMwISsB4zMTEBWhG6ZIiXyny9KTwNS3W1BvNKOh3dKb0JiHMYGRStDT66JTIjJU1fOvTokonQqRoUpEhCihCIAvD0xuiGjYNbV24MDxEhw4XoqCktohrfobHRGK8VkJyDmXzEQbQoctTiJvEgQBLZ1W1LWZUdduRu25f+vazGjrGr5i3DCtAtGhKkSF9iQtUXoVonRKRIWqEBGihEwa+Gs0MbkhomFR09CGA8dLceB4Cc4OYbhJrVIgNzsJk8YkI3dMEmIjfTOVlMhTnE4BjSYLalq7UdNmRk1rd28iY7V7vhdGLpUgMlSJWL0a0XoVYvQqRIWqziU0Kijl/t/zcqWY3BCRx5TXtGD/8bM4cLwUlbUtg75dSrwBk8el4KqxyRiTHge5XDaMURINj/NJTPW55KW6pRu1bd2obTfD7vDsLmVymQSxejViwlQ9/+pViNb3JDCGECWkQdD7ciWY3BDRFWlp78TXh4ux82AhKgaZ0KiUCkwak4TJ41IwaUwy62Yo4Bi7bahu6UZVa/e5f7tQ3dINmweTGKkEiApVITZMjbiwngQmNkyN2LCeBMbXRbv+jMkNEQ2Z2WLDNydKsfPgGZw8UzWoGpoQjQrTctJwdW46crOTuHkkBQS7w4m6djMqm7tR0dyF6tZuVLV0wdjtuWnVaoUU8eEaxIWrER+mRlz4hWRGHgDFu/6I7y5ENChOpxMni2qw82AhvjlRNqg9m8JCNZgxMR1X52Zg/Kh4DjeRX+uy2FHV2o3K5q7eZKamtVu0pcCVCFXLER+uRkKEBgkRGsSfS2bCtAr2wngYkxsiGlBTawe+3J+P7QcK0NLeecnzI8NDMDN3FK7OTUd2eiykUn7zJP/TabGjvKkLZU2dqGjqQnlTFxpNl7+dx8VC1XIkGnqSl4TwC4mMXsM9yryFyQ0RuRAEAccLq7Dl61M4lFd2yWEnlVKBWVdlYN7U0ZiQlcBvoeRXhiuRUcgkSDRokBihQZJBe+5fDZMYP8Dkhoh6mTrN2P5NIb7Yewp1TcYBz5VKJMgdk4T507IxLScVKiXf0Mn3rHYnqlq6UNrYiZKGTpQ2dqLBeOWJTKROieRILZIMGiSfS2Ri9KoRPyvJXzG5IRrhBEFAUXkDtu49jT1HimG3D7zzb1piFOZPG425UzMRHqr1UpRErgRBQF27uTeJKWvqRFXzldXIyKQSxIerkRypRUqkFskGDZIjtQhR8eMykPC3RTRCCYKAA8dL8cn2YygqbxjwXJVSgfnTRmPxnHFITYj0UoREYmarA6WNnShu6MDZ+g6UNHSiyzpwMj4QuVSCpEgNUqNCkBbVk8wkRGgCYnsBGhiTG6IRxmZzYNehM/hk2zHUNLYPeG5KvAGLZ4/HvGlZ0KiVXoqQqCf5bjJZUVzfgbMNPYlMZUsXhMvslJHLJEgyXEhkUqNCkBCu5lTrIMXkhmiE6Oq24ot9p7Fp5wm0Grv6PU8mk2LmpAzcMHs8xmTEsTiYvMLpFFDd2o0zdSYU1XWgqL4D7Ze5v5JEAsSHq5EeHdJ7SYzQMJEZQZjcEAW5VmMXPtt5Alv3nkaX2drveVEROiyaPQ4Lrx6LsFCNFyOkkcjucKK8qQuFdSYU13WguL7jsoeYIkIUSLsokUmLCoFGyTWVRjImN0RBqrmtA//+4ii2fVMwYJFwakIkvrvwKsyclAEZv9nSMLE7nCht7ERBrQmFtSacre+4rK0KZFIJUiK1yIzVISMmBKNidDDoOGRKYkxuiIKMqdOMD788is+/zoNtgKRmfGYCll03CVeNTebQE3mcwymgvOlcMlNjQlF9x2XtgB2qlmNUrA6jYkIwKlaHtKiQEbGrNV0ZJjdEQaLbbMV/dp7ApztOoLuf4ScJgBkT07Fs4SRkpcZ6N0AKaoLQUzNzutqIghoTztSZYLYNPZmJDlUhK06HrDgdRseFIkavYvJNQ8bkhijAWW12bN1zGh9+dRTGjm6358hkUsyfNhq3XDcJiTHh3g2QglZbpxX5NSacqm5Hfo3psgqAEyM0vYlMVpwOESEcYqIrx+SGKEA5HE7s/LYQ735+CM1t7vd8kkqlWDhzDG5bNBmR4TovR0jBxmJ34ExtB05XG5FfY0RVi/tkeiBJBg3GxIdiTIIembE66NT8GCLP46uKKAAdOV2B1z7c2+86NRIAc6Zk4Y4lUxEfHebd4ChoCIKA+nYLTla142RlO87UmWAfYhFwfLga2fGhGJMQitFxodx3ibyCyQ1RAKlvNuK1D/fh27yyfs+ZOj4Vd900nSsJ02Wx2p0orDXhZGVPQjPUDSYjdUqMS9RjbIIeo+N0COcwE/kAkxuiAGC12fHRV8fw0VdH+50BNW5UPH540wyMyYjzcnQU6JpMFhyvaMPJynYU1pqGNEVbo5RhTHwoxiXqMS5RzwJg8gtMboj8mCAI+DavHK99uBcNLSa352QkR+OHN01HbnYSP1RoUARBQFlTF46Xt+FYRduQamekEiAjRtebzKRHh0DGnbHJzzC5IfJTNQ1tePXDvTiaX+n2uF6nwd03z8CCGdlMauiSzg83HS1vxYmKdrQNYWZTuFaBCUlhyEkOw9iEUGi5Qzb5Ob5CifyMxWrDv784io+3H4PD4bpOiATAkmsm4Ac3TkOIRuX9AClgdFnsOF7RjqPlrThVbYRlkOvOSCTAqBgdcpJ7Eppkg4YJNAUUJjdEfqSgpA4vvrUddU1Gt8fHZsTjwe/PYbEw9ctktuFYeRsOl7aioMYEu3Nw9TMhKhlyksMwMSUc4xL0nKJNAY2vXiI/YLXZ8fZn3+I/O47D3UdRhF6L5bfMxJwpmfwGTS7au2w4UtaKI2WtKKw1YZD5DGL1KuSmhuOq1HCMitFBytoZChJMboh87ExZPV58c7vbNWukUilunp+D7y+eAo2aU2rpgrZOKw6XteJQaSuK6zsgDCKhOT/clJsShkmp4YgP5+7vFJyY3BD5iNVmx3ufH8LH24657a0ZnRaLn905H8lxEV6PjfxTh9mOI2WtOFjSgsJa06ASGrlMgvGJelyVFoGJyWFcRI9GBCY3RD5QXN6AF9/agar6VpdjcrkMdy2djpvn50Aq5e7HI53F5sDR8jYcPNuCU9VGOAYx5qSQSZCTHIap6QbkJIdBo5R5IVIi/8HkhsiLbDYH3t96GB99dRRON1+7RyVH4+c/upa9NSOczeHEycp2HDzbguMVbYNaVE+lkCI3ORxT0iMwIUkPlYIJDY1cTG6IvKSuyYg/v/YFSquaXI7JZFL8YMk03HJtLmQy9taMRIIgoLSxE/uKmnGwpAVdFvcrUV9MpZDiqtRwTE03YFyiHko5XztEAJMbIq84cLwE6/+1E11mq8ux9KQo/PyH1yI1weCDyMjXmkwWfHO2BfuKmlDfful9nOQyCSYmh2H6KAMmJoczoSFyg8kN0TCy2x148z/f4D87T7gck0ql+P7iyfjuwqsgl3MIYSQxWx04XNaK/cXNKKhxv63GxWRSCcYmhGLGqEhMSg1nDQ3RJTC5IRomTa0deG7jlzhTVu9yLDEmHL9cvhDpSVE+iIx8QRAEFNd3YHdhEw6XtsJqv/RqwaPjdJgxKhKT08MRquYsJ6LBYnJDNAyOnK7AC29sQ0eX6zDDnCmZ+Okd86BW8cNqJDB227C/qBm7CxsHNewUo1dhZlYkZmZGIiqU22sQXQ4mN0Qe5HQ68e7nh/DvL464rF0jk0nxwPfm4PpZY7nKcJBzOgWcrjFid0Ejjle0X3L6tlYpw7RRBszKjERGTAhfH0RXiMkNkYe0Gruw7vWvkFdU43IsNlKPX913PTKSo30QGXlLS4cVe840Yc+ZJrR0uBaPX0wqAXKSwzAzK5KFwUQexuSGyANKKhux5qXP0Wrscjk2Y2I6HrlrPnfwDlKCICC/xoQdpxtwrKLtkqsGx4apcE12NGZmRXK1YKJhwuSG6AodPFmGv/zzK1htdlG7VCrFPd+5GjfNz+EwQxDqstixt6gZO/MbLllLo5BJMDXDgLnZUciK1fH1QDTMmNwQXSZBEPDZrpPY+NE+l/qayPAQrFx+PcZkxPkkNho+Fc1d2HG6AQeKmy+5cnBKpBZzs6MwY5QBWhXfbom8hX9tRJfB4XDitY/24fOv81yOjRsVj1//eBH0Ou64HCzsDicOl7Zi++kGnG3oHPBclUKKqzMjcU12FFKjQrwUIRFdzOcVbOvXr0daWhrUajVmzJiBgwcPDnj+unXrkJ2dDY1Gg+TkZPzyl7+E2Wz2UrREQLfZij++ssVtYjN/ejae+tlNTGyCRIfZjs3HarHq3ZN4eWfpgIlNQoQaP5yVgufuzMXds1OZ2BD5kE97bt59912sXLkSGzZswIwZM7Bu3TosXrwYhYWFiImJcTn/X//6F1atWoVXX30Vs2bNwpkzZ3DvvfdCIpHg+eef98FPQCNNU2sH1rz0Ocprml2O/eDGabht0WTWUwSBujYzvjxVj31nmgYcepJJJbgqNRwLxsVgdBxraYj8hUQQLlXbP3xmzJiBadOm4a9//SuAnjVCkpOT8fOf/xyrVq1yOX/FihXIz8/Htm3betv+67/+C9988w327NkzqMc0Go0ICwtDe3s79Hq9Z34QGhFKq5rwh//b7DIjSiaT4ud3LcDcqVk+iow8QRAEFNSY8GVePU5Utg94brhWgXljozF3dBTCQ5ReipBoZBvK57fPem6sVisOHz6M1atX97ZJpVIsXLgQ+/fvd3ubWbNm4c0338TBgwcxffp0lJSUYPPmzbj77rv7fRyLxQKL5cJMBqPR6LkfgkaMQ6fK8fzGr2Cx2kTtOq0Kqx64AWNHxfsoMrpSdocT35xtwZd59ahq6R7w3Kw4Ha4bH4NJKeGQc/d2Ir/ls+SmqakJDocDsbGxovbY2FgUFBS4vc1dd92FpqYmzJkzB4IgwG634+GHH8Zvf/vbfh9n7dq1eOaZZzwaO40sO74pxPp/7XCZERUfHYbf/mQJEmLCfREWXSGLzYHdhU344mQdWjtt/Z4nk0owNT0CCyfEIj2adTREgSCgZkvt3LkTa9aswd/+9jfMmDEDxcXF+MUvfoHf//73eOKJJ9zeZvXq1Vi5cmXvdaPRiOTkZG+FTAHui72n8dJ7u10Sm7EZ8fjNA4sRGqL2SVx0+TrMdmw7VY/tpxvQaXH0e55WJcO8MdFYMDYGBh2HnogCic+Sm6ioKMhkMtTXi3dMrq+vR1yc+7VBnnjiCdx999144IEHAAA5OTno7OzET37yE/zud7+DVOraTaxSqaBScWVYGrrPdp3Eqx/udWmfOyULj9w5HwqFzAdR0eVq6bDiy7x67CpoHHBH7li9CgsnxGJWViRU/B0TBSSfJTdKpRJTpkzBtm3bsGzZMgA9BcXbtm3DihUr3N6mq6vLJYGRyXrefHxYF01B6JPtx/H6J661X99ZkIt7brmas2ICSG1bN7acqMM3xS2wD7CBZVacDjfkxGFiShh/v0QBzqfDUitXrsTy5csxdepUTJ8+HevWrUNnZyfuu+8+AMA999yDxMRErF27FgBw88034/nnn8dVV13VOyz1xBNP4Oabb+5Ncoiu1AdfHMHbn7mut3Tb4in4wZKp/OALENUt3fjP0RocLmsdcL+n3JQwLMmNR2asznvBEdGw8mlyc8cdd6CxsRFPPvkk6urqMGnSJGzZsqW3yLiiokLUU/P4449DIpHg8ccfR3V1NaKjo3HzzTfjD3/4g69+BAoigiDgnc3f4oMvjrgcu3PpdNy2aLIPoqKhGkxSI5UA00cZcMPEOCQZtN4NkGgE6LQ6IJMAah8N7fp0nRtf4Do35I4gCHjj0wP4ZPtxl2P33DITt1yb64OoaCgGk9QoZBLMyY7Copw4RIeyFo/IU7qsDtQYLag2mlHTbkG72Y5ZqeGYmBDqsccIiHVuiPyFIAh49cO92LzbdTuFB26bgyVzJ/ggKhqswSQ1GqUM146LwXXjY6DXKLwbIFEQ6rb1JDM17RbUGM1o7ba7nFNjtHg0uRkKJjc0ogmCgP97bze+3JcvapcAeOiOa3D9rHG+CYwuqaa1G58eGTip0SpluG58DK6fEMtduYmugMXuRK3Rgqp2M2qMFrR09b821Hk1RgucggCpD+oU+ddOI5YgCHj5/T1uE5tH7lqABTOyfRMYDajJZMGnR2qwv7iZSQ3RMLE7BdSZLKhuN6O63YKGDutl3Y/JYkeY2vu9pfyrpxHrvS2HsXXvKVGbVCLBL+6+DnOmZPooKuqPsduGz4/XYcfphn6ndDOpIbo8TkFAY4cV1UYLqtrMqDdZ4RhiSa5CJkF8qAqJYSok6NWIDFH4pNcGYHJDI9SWr0/hvS2HRG0ymRQrly/E1bkZPoqK3DFbHfgirx5bT9bBYnO/+B6TGqKhazfbUNXWM9RU3W6B1dH/4pbuyKUSxPUmMypE65Q+S2b64rsAjTh7j57FKx98LWqTAHjsnuuY2PgRm8OJXfmN2HSsFh1m12JFAFAppLh+QiwWMakhuiSzzdHTM9NuRlWbGaYBth9xRyaRIDZUicQwNRLPJTMyqX8kM33x3YBGlBOFVXjhjW0ue0U9+P25mDVplE9iIjFBEHCguAUfH65Gcz/j/HKpBPPGRmPppHjOfiLqh8MpoL7Dgqo2CyrbzGjsHHrdTHSIEolhKiSFqRGnV0Hup8lMX0xuaMQ4W9GIP76yFY4+Xa+33zAVi+eM91FUdLHCWhPePVCJiuYut8clEuDqzEjcMjkBUVynhsiF0WxHZZsZle1mVLebYXMMrW4mQiPv6ZkJUyNBr4JK7rpnYyBgckMjQk1DG/7n/zbDYhVPX1w8ezxuv2GKj6Ki8xqMZnxwsApHytr6PWdSajhunZKIRIPGe4ER+Tmbw4kaY0/PTGWbGe39DOH2R6OQIilMjaQwNRLDVNAFyfBucPwURANoae/Es3/7DMaOblH7zEmj8MBts7lXlA91WezYdKwW20/1PwMqK06H701L4t5PROgZtm0321HRakZFW/e5tWQGf3uZtGdGU3J4z1CTQasIyvdAJjcU1Dq7Lfj93z9DY6tJ1J4zOhG/+NG1LrvMk3c4nAJ2FTTik8PV6OynqDE+XI3bpidhYjJ36aaR7XzvTEWbGRWt3UMuBI7UKpAcrkZSuBpxoYFTN3MlmNxQ0LLa7Fj70hZU1LaI2jOSo/Gb+xdD4aMN3Ua6k5XteO+bStS2md0eD1HJcMuURFyTHQW5jMknjUztZtu53pmevZqGsuaMWi5FUrgayeFqJIepoVWOvPc6JjcUlARBwAuvb0N+Sa2oPT46DI8/dCM0aqWPIhu5Gk0WvLO/Ascr2t0el0sluHZ8DG6aFM9p3TTiOM6tCFzRakZZa/eQamekEiBWp+pJZsLViAoJzqGmoeA7CAWl97cexoETpaK2CL0WT/x0KcJCWZDqTVa7E1tP1mHzsdp+Z25MTgvHbdOTEKNXezk6It/ptjlQ2WZGeWs3KtuGtoieViFDSoQaKeE9M5sCdVbTcGFyQ0Hn4MkyvPu5ePVhrVqJJ366FLGReh9FNTIdr2jDO/sr0WiyuD2eEqnFHVcnIzveNzsHE3mTIAho7bajrLUb5S3dqB/Cfk0SAHGhKqRE9PTORAZpIbCnMLmhoFJZ14oX3tgmapMA+NWPFyE1IdI3QY1AjSYL3j1QiWPlbW6Ph6rl+N70JMzOiuQbNAW188NN5a3dKGsxw2gZ/HCTRiFFSrgGKeeKgdk7M3hMbihodHZb8KdXtsBsEa9lc8+ymcjNTvJRVCPLpYagJBLg2nExuGVyAutqKGhZ7E5UtfXUzlS0mWGxD364KSpEgdQIDVIjNIhm7cxl47sLBQWn04m//PMr1DaKi1WvmZqFm+dP9FFUI8vpaiPe3FuOBqP7IajMWB3umpWClEitlyMjGn6dVgfKWrpR2tI1pLVn5FIJksLUSI1QIyVCg5AROLNpODC5oaDw9mff4mh+pagtIzkaP/3BPH7zGWYdZjve/aYS+4ua3R4PVctx2/QkzOIQFAWZtm4bSlu6UdrSjYYh1M+EKGVIi9AgNUKNhDD1iFh3xtuY3FDA23v0LD786qioTa/T4Df3L4ZSwZf4cBEEAQfPtuCdA5UwuZm2KpEAC8bGYNkUDkFRcBAEAY2dNpS2dKGspRut3YOvn4kKUSAtQoM0g4bFwF7AdxwKaGXVTfjrWztEbVKpFL/+8SJERXC5/uHSZLLgzb3lyKsyuj0+KiYEP5ydyiEoCnhOoacguKS5p4em0zq41YGlEiAxTN3bQxMsezYFCj7bFLCMHd3448tbYbWJvz3d/93ZGDcq3kdRBTenU8D20w346HA1LDbXIkmNUobbpiXhmjFR/GZKAcvhFFBjtKDkXA9Nt5vXujtKmQQpERqkR2iQHKGGkits+wyTGwpIDocTz2380mXPqOuuHoPFc8b5KKrgVtXShX9+XY7Sxk63x69KC8cPZ6YgPISrP1PgsTsFVLWZUdrSjbLW7kHPcNIqZEgzqJFu0CJBr4KM9TN+gckNBaTXPzmAvKIaUdvotFg8eNtc9hh4mN3hxKZjtfj8eB0cbqaAhGsVuHNmCqakR/ggOqLLdz6hKW7uQnlrd78raPcVppYj3aBBukGDGJ2S7zl+iMkNBZyDJ8uwadcJUVuEXotf/3gRN8P0sKqWLry6qwwVzV1uj18zJgq3TUtiwTAFjPMJzdnmLpQNIaGJ1CqQHqlBhkGLCI2cCY2f4zsSBZSW9k787e2dojaZTIr/vn8xDGEhvgkqCDmcAraerMOnh2tgd9NbExumwj1z0rhtAgUEh1NA5bmEpry1G9ZBJjQxOiXSDRpkRGoQplYMc5TkSUxuKGAIgoC/vrUDpk6zqP2B783B6LRYH0UVfOrazHh1dylKGlxra2RSCW6YGIelk+Kh5FLw5MccTgHV7Wacbe5ZWG+wCU18qOpcD42GM5wCGH9zFDA27TyJ44VVorYZE9Nx/ayxPooouAiCgG2nGvDvb6vcdtUnRKhx/7x0pEaxh4z8kyAIqDVZUNzUhZLmbpgHWRQcr1dhVKQG6QYtVwgOEkxuKCCUVjXhjf8cELVF6LVcgdhDGk0WbNxdhsJak8sxiQS4YWIcvjM5AQpObSU/IwgCGjqsONvcheKmbnTZBrcOTbxehQyDBhmRTGiCEZMb8nsWqw3rXt8Gh+PCtzAJgEd/dC1CQ9S+CywICIKAPWea8M6BSrfr1sTqVfjxvHSMiuWCiORfWrtsKGrqQnFT16B32o4PVSEjkgnNSMDkhvzePz8+gKr6VlHbd67NxUTu9H1FOsx2vL6nDEfK2twev258DL47LREqOT8EyD90WOw429yFoqYuNHXaBnWbGJ0SmZFaZESyhmYk4W+a/NqhU+XYuveUqC0tMQp3LZ3uo4iCQ2GtCa/sLEGrmw+ISJ0S916ThrEJeh9ERiRmsTtR0tKFosae3bYHw6BVIDNKi8xILfRqfsyNRPytk99qNXa57BulkMvwy+XXQc7ehMvicAr4z5EafHa8FoKbySNzs6Nw+4xkaNhlTz7kcAoob+1GUVMXKlrNcLh7sfYRppb3JjQRWk7bHumY3JBf6m/a94+/OxtJsVwJ93I0mSx4eUcJzrqZ4h2ikuG+a9IxKTXc+4ER4UJh8JnGLhQ3dw1q+wOtQoasKC0yo7SICuFO23QBkxvyS5/tOoljBZWitmkT0jjt+zIdPNuCN/aWo9vNjsZjEkJx/7x0RHBPKPIBo9mOM02dKGrsQrv50oXBSpkEGZFaZEVpEa9XQcqEhtxgckN+p7ymGa9/6jrt+2d3ctr3UFlsDry1rwL7ippdjsmkEtwyJQE35MRBys3+yIvO19GcaexC7SDqaKQSIDVCg6woLVIiNJDz9UqXwOSG/IrVZsdf/vmVaNo3APz8R9dCr9P4KKrAVNnchQ3bzqLezYdHdKgKDy5IR0YMp3iTdwiCgOp2CwoaO1Ha0u12E9a+4vUqZEVpMSpSCxVXxKYhYHJDfuWDrUdQWddn2veCXORy2veQ7D3ThDf3lrtdafjqTAN+OCuVRcPkFe1mGwobulDY2IlON8OifYWp5RgdHYLR0VqEcuo2XSa+cshvlNe04KNtx0RtnPY9NFa7E2/vr8DXhU0ux9QKKX40OxVXZ0b6IDIaSWwOJ0qau1HQ2DmoYSeVXIrMSC1GR2sRo1Ny+JmuGJMb8guCIODv7+yE03lhOEoqleLRHy2AQsEehsFoMJqxYVsJKpq7XI6lRWvxkwUZiNFzRWcaHoIgoN5kRX5DJ0qau2C7xLCTVAKkhGswOlqL1AgNZKyjIQ9ickN+Yeue0ygqbxC13XrdJKQmsJdhMI6Vt+HVXaXoctPtv2BcNG6fkcx9oWhYdNscONPYidP1nYOa7WTQKjAmOgRZ0Vpo+MWFhgmTG/K55rYOvLnpG1FbXJQety2e7KOIAofDKeCjQ9XYcqLO5ZhKIcXyOWmYPsrgg8gomDkFAVVtZuQ3dKK8tRuXqg1WyaXIitJiTEwIIrVcj4aGH5Mb8rlX/70X3WarqO3hO+ZBqeDLcyBtnVa8tKMEZ+o6XI7Fh6vx0+tGISGCM8zIc0wWOwoaOlHQMLji4JRwNbJjQpDGYSfyMn56kE8dPFmGAydKRW3zp2cjZ3SijyIKDMX1HfjbV8UwdrsOA0zPMGD53FSo2OVPHnB+K4T8hk5UtpkveX6YWo4xMSEYHR3CnbfJZ5jckM90dVvx8vtfi9pCQ9RYfsvVPoooMHxd2Ii39lbA3mcsQC6V4Park7FgbDS7/emKmSx25Nf39NJ02QbupZFJJRgVqcGYmBDEh6r4+iOfY3JDPvP25oNoaRfvc3TfrbO4WF8/7A4n3v2mEjtON7ocM+iUePjaDC7KR1fEKQioaDXjVH3HoHppokIUGBujQ2YUF9kj/8LkhnziTFk9Pt+dJ2qbODoJ10zN8lFE/s1ktuH/tpegoMbkcmx8kh4Pzs+ATs0/Z7o8HRY78gdZS6OUSZEVrcXYmBBEcT8y8lN8NySvs9sd+Ps7u3DxoIpCLsNPbp/L7mw3qlq68OIXxWjusLocWzwxFt+bmsS9oWjIzm+HkFffgbKW7kueH6tTYlysDhmRGi4rQH6PyQ153ac7TqCitkXUdvsNUxEfHeajiPzXkbJW/GNXKSw28V5bcpkEy+ekYWYW1wGiobHYnShs6MSp+o5LrkujlEkx+lwvTSR7aSiAMLkhr6ptbMd7Ww6J2lLiDfjOgok+isg/CYKA/xytxadHalyOhWsVeOT6TKRHh/ggMgpUjR1WnKrvQFFT1yU3rYw510szir00FKCY3JDXCIKAl977Gjb7hTF9CYCf/mAe5HJOGT3PYnPgH7tKcaSszeVYRkwIfnbdKITzWzQNgt0p4GxTF07Vd6DBzbDmxRRSCUZHh2BsLGtpKPAxuSGv2XO4GCfOVInabpg7AaPTYn0Ukf9p67Ti//ui2O3+ULOyIvGj2alQclYKXUKHxY7T9Z04Xd8Bs9054LkGrQLjY3XIitZCyV4aChJMbsgrrDY73vjPAVGbISyEO35fpKqlCy9sLUJrp03ULpEAt89IxsLxMSy4pn4JgoA6kxV5dSaUNHdjoIEnqQTIMGgxPk6HuFDuwk3Bh8kNecWnO06guU28ps3935sNrYbd3wBwutqIv31VDHOfwmGtSoaHrx2FcYl6H0VG/s7uFFDU1IlTdR1o6pMY9xWilGF8rA5jYkKg5erBFMSY3NCwazN14cMvj4raJmQlYMbEdB9F5F++LmzEm3srXIo8Y/QqPLooC3Hhah9FRv6sw2JHXl0H8hs6YbnE0FNimAoT4kKRGqGGlL00NAIwuaFh987mb2GxXvhGKQFw77JZI74rXBAEfHy4Bp8dq3U5lhmrwyPXj0KoWuGDyMif1ZssOFnbgbPNXQMOPcmlEmRHh2BCnA4RWr6OaGRhckPDqqK2BV/tyxe1zZuejfSkKB9F5B9sDic27i7DN2dbXI5NTY/Aj+els3CYejkFAaUt3ThZa0KdaeBZT3qVHBPidMiOCeGWCDRi+fyVv379eqSlpUGtVmPGjBk4ePDggOe3tbXhkUceQXx8PFQqFUaPHo3Nmzd7KVoaqtc/2e+yEvFdS6f5LB5/0GG24y+fn3Gb2NwwMQ4PXZvBxIYA9Cy4d7zGiLeP1uLLM80DJjZJYWosGROFO6+Kw8SEUCY2NKL5tOfm3XffxcqVK7FhwwbMmDED69atw+LFi1FYWIiYmBiX861WK66//nrExMTggw8+QGJiIsrLyxEeHu794OmSjhdW4Wh+pajtlusmITJ85G7u2Gi0YN3WM6hvt4jaJRLgh7NSMH+s6+ueRh6j2Y4TtSYUNnTCNsCCe71DT/E6RGg49ER0nk+Tm+effx4PPvgg7rvvPgDAhg0b8Nlnn+HVV1/FqlWrXM5/9dVX0dLSgn379kGh6PlDTktL82bINEhOpxMbP9onagsP1eLW6yb5JiA/UNnchb9sOQNjt3jJe5VCioevHYWcZG4/MdLVmyw4UWvC2eaB93oKUcowIU6HsTEhUCs464moL58lN1arFYcPH8bq1at726RSKRYuXIj9+/e7vc2nn36KmTNn4pFHHsEnn3yC6Oho3HXXXfjNb34Dmcz9H7jFYoHFcuFbstFo9OwPQm7tOFjosn/UnUunQa0amd8uz9SZ8NcvitHVZ8flcK0Cjy7OQkqk1keRka8JgoDyVjOO15hQa7IMeG50iBK5CaFIN2gg42apRP3yWXLT1NQEh8OB2Fjx6rSxsbEoKChwe5uSkhJs374dP/zhD7F582YUFxfjZz/7GWw2G5566im3t1m7di2eeeYZj8dP/TNbbPjXpm9FbSnxBlw7I9tHEfnW8Yo2bNh2FjaHeHghyaDBo4uyYNBxrZ+RyO4UcKaxE8drTJfcwDLDoMHE+FDEcsE9okEJqNlSTqcTMTExeOmllyCTyTBlyhRUV1fjf//3f/tNblavXo2VK1f2XjcajUhOTvZWyCPSR9uOoc0k3j5g+bKZkEpHXoHj/qJmvLa7FH3LJkbH6bDi+kxoVQH1J0geYLY5cKq+E3l1JnTb+l+fRiGVYGxsCHLiQxHK1wnRkPjsLyYqKgoymQz19fWi9vr6esTFxbm9TXx8PBQKhWgIauzYsairq4PVaoVS6foNWKVSQaVSeTZ46ldzWwc+2XZM1HbV2GRMGjPyEsqv8urxzoFKl/ZJqeH4yQLOiBppOiw9RcKn6zthH6BIWKuQISdeh3GxOs54IrpMPvvLUSqVmDJlCrZt29bb5nQ6sW3bNsycOdPtbWbPno3i4mI4nRe+7Zw5cwbx8fFuExvyvn999q3Lrt/33OL+9xmsBEHAx4eq3SY2s7Ii8dPrRjGxGUFau2zYUdyCfx2txYnajn4TG4NWgQWZBvxwcjyuStQzsSG6Aj7t61y5ciWWL1+OqVOnYvr06Vi3bh06Ozt7Z0/dc889SExMxNq1awEAP/3pT/HXv/4Vv/jFL/Dzn/8cRUVFWLNmDR599FFf/hh0TmlVE3YdLBS1LZw1FinxBh9F5H1Op4C39ldgV36jy7FFObH4/vQk1kyMEPUmC45Wm1DWOvDMp6QwFXIT9EgKU/G1QeQhPk1u7rjjDjQ2NuLJJ59EXV0dJk2ahC1btvQWGVdUVIjqNJKTk7F161b88pe/xMSJE5GYmIhf/OIX+M1vfuOrH4HOEQQBGz/eJ1qwT6VU4Ac3jpwF++wOJ/6xqxTflrS6HPvutEQsmRjHD68gJwgCKtvMOFpjQq2x/5lPEgCZUVrkJoQiKoS9zkSeJhEEYaDtSYKO0WhEWFgY2tvboddzp2VPOXSqHGtf+lzUdufS6bht0WQfReRdFrsDf/vqLE5ViZcakEiAu2en4pox0T6KjLxBEASUtHTjaLVxwJ25ZVIJxsaEIDeBRcJEQzWUz2/+ddEVEwQBb/3nG1FbZHgIbp6f46OIvMtic+DFL4tRUGMStculEjywIB1T00fOsNxI4xQEFDd14Wi1Ea3d/U/nVsqkmBCnQ068Dhouukc07Jjc0BU7cLzUZcG+H940Aypl8C/YZ7Y68MIXRSiq6xC1qxRSPLIwE+MS2TsYjBxOAYWNnThWbYLR0n9So1XIkJugw9hYHZQyFggTeQuTG7oigiDg/a2HRW3JcRG4ZmqWjyLynm6rAy9sLUJxvTix0apkeGxxFjJiRu4eWsHK5nCioKETx2pM6Oyz2vTFwtRyTEoMxeioEK4kTOQDTG7oinybV47ymmZR222LpwR94WyXxY6/bClCaWOnqD1EJcN/3ZjN7RSCjM3hRF5dB07UDrzwnkGrwJREPdIjNZAG+d8AkT9jckOXTRAEvLflkKgtMSYcsyZl+Cgi7+gw2/GXLWdQ3iRehTlULcd/3TgaSQYmNsHC6nDiVF0HjtWYYLH3n9TE6JSYnKhHaoQ66BN7okDA5IYu2+HTFSitahK1fX/xlKDeZsFktuEvnxeholmc2Og1cvzqxmwkRGh8FBl5ktXe01NzvHbgpCZer8KURD0SuUYNkV9hckOXRRAEvPe5uNcmIToMsyeP8lFEw8/YbcPzn59BVYt4UbZwrQL/deNoxIczsQl0g01qksPVmJyoR7yeW7sQ+SMmN3RZjuZX4myleBXe24K416a9y4Y/by5EbZtZ1B4RosCvbsxGbJjaR5GRJ1jsF2pqBkpq0iI0mJykRwx3cifya0xuaMjc1drERekxZ3KmjyIaXm2dVvzv5kLUt4tXnDXolPj1jdmI5rf3gGV1OJFXe+memrQIDaYk6RHNpIYoIDC5oSE7XliFovIGUdtti6ZAFoTreBi7bXju8zMuiU1UqBK/ujEbUaFMbAKRzeHE6foOHK02wTxQUmPQYGqSnlskEAUYJjc0JD29NuJ1bWIMoZg7Jfh6bbosdqzbUuQyFBWjV+FXN2bDwG/xAcfhFHqTmi5b/+vUpBt6emqY1BAFJiY3NCQnz1SjsLRO1Hbb4smQy4NrSXmz1YF1W11nRcXoVfj10mxE8EMvoJxfUfhwlXHAxfeY1BAFByY3NCR9VyOOjgjFvKmjfRTN8LDYHfj/vihCSYN4gT6DTon/unE0E5sA4hQEFDV24XCVccBtEtIiNJiazKSGKFgwuaFByyuqxumztaK2715/VVD12tgcTvztq7M402evqHCtAr+6cTQidayxCQSCIKC0pRsHK9vRNsCGlsnhakxN0iOWtVNEQYXJDQ1a316byPAQXDsj20fReJ7d4cT/bS/BqSqjqD1ULcfKJaMRo+d070BQ1W7GN+XtaOy09ntOvF6F6clhXKeGKEgNaXrLPffcA5PJ1Hv9+PHjsNlsHg+K/M/ps7XIK6oRtX13YfDU2jidAl7dVYZj5W2idq1ShpVLRnPl4QDQ0GHFf043YNPpxn4TmxidEjeNi8Z3xkUzsSEKYkNKbt566y10d19YnXXu3LmorKz0eFDkf97vM0PKEBaC664e46NoPEsQBPxzTxkOlrSI2tUKKR67IQvJ3ATTr7V22bC1sAkfnqxHdZ8p++dFhSiwZEwUbp0Qg6Qw7v9EFOyGNCwlCMKA1yk4FZTU4cSZKlHbrQsnQaEI/F4bQRDwr/0V2HtGvLO5QibBo4uzkBGj81FkdCkdFjsOVRlR0Kfw+2JhajmmJYdhVKSGCQ3RCMKaG7qkvrU2EXotFs4c66NoPOujQ9XYcVq8jYRcKsHPF2VhdFyoj6KigVjsThypNiKvtgOOfr5gaRUyTE3WIzs6BDIpkxqikWbIyc3p06dRV9ezzokgCCgoKEBHh3hmycSJEz0THflceU0zjhWIhx6XXTcJSkXg58XbTtVj83Hxmj0yqQQ/vW4UxiXqfRQV9cfhFJBX14Ej1cZ+t0pQyaWYnBiK8XGhkDOpIRqxhvwJdd1114mGo2666SYAgEQigSAIkEgkcDj6XySLAsumnSdF1/U6Da6fFfi9Nt+WtOCdA+KkTSIBHpifjtzUcN8ERW4JgoCipi58W9kOk8X9e4tCKkFOfChyE0KhkgffNiBENDRDSm5KS0uHKw7yQ+2mbuw+XCRqWzxnHFRKhY8i8oz8GiP+sbMUfUc07p6dimkZBt8ERW5VtZtxoLwNTZ3uZ2VKJcC4WB0mJ+qhVQZ+DRgRecaQkpvU1NThioP80Bf7TsNuv/BNWSaTYvHs8T6M6MpVNHdh/ZfFsDvFmc0tUxJwzZhoH0VFfTV3WnGgoh2Vffb1utioSA2mp4QhTB3YyTYRed5lFU4UFRXhk08+QVlZGSQSCdLT07Fs2TJkZGR4Oj7yEbvdgS1fnxK1zZ2ShQh94E6LbjRZ8MLWIpht4nqN+WOjcdOkeB9FRRfrtDrwbWX7gDOg4kNVuDo1jKsKE1G/hpzcrF27Fk8++SScTidiYmIgCAIaGxuxatUqrFmzBr/61a+GI07ysr1Hz6LNJN408qZ5OT6K5soZu21Y9/kZtHeJhzcmp4XjrpkpnCbsYzaHEydqO3Cs2gib0/0MqAiNHDNSwpEawXVqiGhgQ6q827FjBx5//HH87ne/Q1NTE2pra1FXV9eb3KxatQq7d+8erljJSwRBwH92nhC1jRsVj/SkKB9FdGUstp6NMOuN4gXeRsfp8MD8DEg5q8ZnBEHAmcZOvHOsDt9WtrtNbLQKGa7JiMD3c+OQZuB6NUR0aUPqudmwYQMeeOABPP3006J2g8GAZ599FnV1dfj73/+Oa665xpMxkpcVlNShtKpJ1HbT/MCc3m93OPG3bWdR1ijuhUoyaLDi+kwoObPGZ2qNFuwra+t3qwSFVILcxFDkxodCIePviYgGb0jJzcGDB/HGG2/0e/zuu+/GPffcc8VBkW9t6tNrE2MIxbQJgVdMLggCNn5d5rIRZqROiccWZ0GrCvy1egJRu9mGA+XtKG3p7vecMTEhmJYchhDOgCKiyzCkd/f6+nqkpaX1ezw9Pb13gT8KTA0tJnxzQjzl/8ZrciCVBt435w8PVeNAsXi/qBCVDL+8YTTCQ5Q+imrksjqcOFJlxIlaE/opq0GCXoVZaeGI4u+HiK7AkJIbs9kMpbL/Nx2FQgGr1X0XMwWGz3fn4eLPHZVSgWuvzvZZPJfr68JGfN5n9WGlXIpfLM5CXLjaR1GNTD11NV34pqIdXTb3i/CFqeWYlRaOlHAWCxPRlRtyv/wrr7wCnc79ZoImk+mKAyLf6TZb8dX+fFHbdVdnI0QTWFNu86uNeHNvhahNKgF+et0oboTpZfUmC/aWtaGhw/2XHpVciqlJeoyL1XEPKCLymCElNykpKXj55ZcveQ4Fph0HC9FlvvAhJEHPkFQgqW3rxt+3nYWjz7jH3XNSkZMc5qOoRp5OqwMHyttQ1NTl9rhUAkyIC8WUJD23SyAijxtSclNWVjZMYZCvCYKAz3aJ95GaOiEN8dGBkxCYzDa8+EUxuqzioY8luXGYm83Vh73B7hRwotaEo1X9r1eTGqHGzNRwhGu4sjARDY8hfWXavn07xo0bB6PR6HKsvb0d48ePx9dff+2x4Mh7Dp+uQF2T+Pe6NIAW7bM5nPjbV2fR0Gctm8lp4fju1EQfRTVyCIKAspZuvHesDgcr3K9XE6aW48YxUVgyJpqJDRENqyH13Kxbtw4PPvgg9Hq9y7GwsDA89NBDeP755zF37lyPBUje0Xf6d0q8AROyEnwUzdAIgoB/fl2GoroOUXtqlBb3z09ngeowazfbsLe0DRX97AOllEkwJSkME+JYV0NE3jGknpvjx4/jhhtu6Pf4okWLcPjw4SsOiryrvKYZJ89Ui9punj8xYJKCzcfrXKZ8R4Qo8PPrM6GSc52U4WJzOPFtZTvePVbXb2IzJiYEP5gUj9yEUCY2ROQ1Q17nRqHovztZLpejsbHxioMi79q0U1xro9dpMGdKpo+iGZpvS1rw0SFxYqZSSPHooiyuZTNMBEFAWasZ+8paYbK4n9odF6rE7LQIROv4OyAi7xtScpOYmIi8vDxkZrr/4Dtx4gTi47m7ciBpN3Vj9+EiUdui2eOgVPj/6r0lDR14dZd4wUGJBPjJ/AwkRwbu7uX+rK3bhr1lbajsp6dGq5Dh6tQwZEVpA6bnj4iCz5A+wW688UY88cQTuOGGG6BWixdC6+7uxlNPPYWbbrrJowHS8Ppyfz7s9gvfvmUyKW6YM96HEQ1Ok8mCF78ohs0hLly9fUYyclPDfRNUELM5nDhabcKxGqPb1YUlAHLidZiaFMb9uojI54aU3Dz++OP48MMPMXr0aKxYsQLZ2T0r1xYUFGD9+vVwOBz43e9+NyyBkufZ7Q5s+TpP1DZnciYi9P7d62GxOfDXL4thMttF7fPGRmPh+BgfRRW8ylu7sae0/yGoeL0Kc9MjYNByBhQR+YchJTexsbHYt28ffvrTn2L16tUQhJ6vcBKJBIsXL8b69esRGxs7LIGS5x3MK0OrUbzI2k1+Pv1bEAS8trsMVX02XRyXqMedVydzKMSDOix27C1r63eDS61ChplpYciM5BAUEfmXIRdWpKamYvPmzWhtbUVxcTEEQUBWVhYiIiKGIz4aRtsPFIiuZ6fHISPZvxe7+/xEHQ6Vtora4sPVePjaDMhlHA7xBKcg4GRtBw5Vul+vRioBcs6tLswhKCLyR5ddNRoREYFp06Z5MhbyoqbWDhzLrxS1XT9zrI+iGZy8qnaXmVFapQw/X5QJrcr/C6ADQb3Jgt0lrWjusrk9ziEoIgoE/EQYobZ/UyDa/VutUmDmpAyfxXMpjUYLXtpRAuGioCUS4MEFGYjRc5fvK2WxO3Ggog359Z1uj6vlUsxMC8dozoIiogDA5GYEEgQB2w8UitrmTsmEWuWf38YtNgfWf1WMrj4FrbdOSeRmmFdIEAQUNXVhf3kbum1Ot+eMjQnBjJQwqBVcEJGIAgOTmxHo5JlqNLaaRG3XXT3GR9EMTBAEbPzatYB4SnoEluTG+Siq4GA027G7pBVV7e7XrDFoFbgmPQJxepWXIyMiujJMbkagr/oUEifHG5CZ4p9TqL84WY9vS8QFxAkRavz4mjQOj1ymnoJhEw5WGuFwUzAsl0owLVmPCXHcMoGIAhOTmxGmo8uCb06IV/W9bsYYv0wUTlcb8cG3VaI2rVKGRxZmQsUhksvS2GHFrpIWNHW6LxhOM2gwOy0coSzQJqIAxnewEWb3oTMuKxLPm5blw4jcazRZ8H/bz7oUED+wIB2xYSwgHiqbw4lDlUacqDXBzQLDCFHKMCc9AukGjddjIyLyNCY3I8y2PoXE03PSodf51weaxe7A374sRmefAuJlUxIxMTncN0EFsMo2M3aXtPS7wvD4WB1mpHDbBCIKHkxuRpCSykaUVTeJ2hbO9K9CYkEQ8M/d5ajsU0B8VVo4bmQB8ZCYbQ7sLWtDUVOX2+MRGjnmZRhYMExEQYfJzQjy1X5xIXFUhA652Uk+isa9HfmNOFjSImqLD1fj/mvS/bIuyF+VNHfh69JWt9O7pRJgcpIeVyXoWTBMREGJyc0IYbXZ8fXhIlHbghnZfpUwlDV24r0D4lWTNecKiNVKFhAPRpfVga9LW/vdDyo+VIVrRkUgQuOfaxoREXkCk5sR4sDxEnSZrb3XJQCuneE/Q1JdFjs2bD8Le5+pyQ/MS0dcOAuIL+X8Ynx7y9pgsbv21ihlUlydGoaxMSF+ldASEQ0HJjcjxLY+a9vkjE5CjCHUR9GInV+or8lkFbXfMDEOuanhvgkqgHRY7Pi6tBXlre4X40uNUOOaDANC2PtFRCMEk5sRoLaxHXlFNaK26/yokHj76QYcKWsTtWXG6rBsSoJvAgoQgiCgoKET+8vbYHW4TvBWyaWYmx6BUZEa9tYQ0YjiF3M/169fj7S0NKjVasyYMQMHDx4c1O3eeecdSCQSLFu2bHgDDHA7vhFP/9ZpVZiRk+6jaMRKGzvx/jfihfpCVDL8ZEEG5DK/eHn6JZPFjs/yG7GrpNVtYjMqUoMfTIpDJje6JKIRyOefHu+++y5WrlyJp556CkeOHEFubi4WL16MhoaGAW9XVlaGX/3qV5g7d66XIg1MTqcTOw6Kk5trpmZB4Qcr/HZZ7Pg/N3U2P56XDoNO6aOo/JsgCMiv78B7x+tQ1W5xOa5RSLFodCSuHx0FjR/8jomIfMHnyc3zzz+PBx98EPfddx/GjRuHDRs2QKvV4tVXX+33Ng6HAz/84Q/xzDPPICMjw4vRBp6j+ZVoae8UtS2cOdZH0VwwYJ1NSrhvgvJzHRY7Nhc0YVdJK2xuemuyo0NwR24cMiK1PoiOiMh/+DS5sVqtOHz4MBYuXNjbJpVKsXDhQuzfv7/f2z377LOIiYnB/ffff8nHsFgsMBqNostIsr1PIfGo5GikJkT6KJoLWGczeIIg4ExjJ947Xo/KNtei4RClDDeOicKCTAPU7K0hIvJtQXFTUxMcDgdiY2NF7bGxsSgoKHB7mz179uAf//gHjh07NqjHWLt2LZ555pkrDTUgtZu6cTCvXNR23dW+LyRmnc3gdVkd2F3SirJW9+vWjIkJwczUcKi4dQIRUa+Aekc0mUy4++678fLLLyMqKmpQt1m9ejXa29t7L5WVlZe+UZDY+e0ZOJ0X1jxRyGWYMyXThxH1X2dz/3zW2fR1tqkL7x6vc5vYaBUyLBkThfmjDExsiIj68GnPTVRUFGQyGerr60Xt9fX1iItz3Ufo7NmzKCsrw80339zbdv7DWy6Xo7CwEKNGjRLdRqVSQaUaeXvnCILgMiQ1c1IGQjS+ey76q7NZkhvHDTEvYrb1rDJ8ttl9b01WlBaz08I5BEVE1A+fJjdKpRJTpkzBtm3beqdzO51ObNu2DStWrHA5f8yYMTh58qSo7fHHH4fJZMILL7yA5ORkb4QdEM6U1aOqvlXU5utC4p35jW7rbG6ZzDqb8ypau7HzbCu6bK47eGsUPevWsGCYiGhgPl/Eb+XKlVi+fDmmTp2K6dOnY926dejs7MR9990HALjnnnuQmJiItWvXQq1WY8KECaLbh4eHA4BL+0i3+5B4H6m4KD3GjYr3UTRATWs33vtGPCTIOpsLbA4nDpS341R9h9vj6QYNrsmI4PRuIqJB8Hlyc8cdd6CxsRFPPvkk6urqMGnSJGzZsqW3yLiiogJSKT/8hsLhcGLfsRJR27xpo322mJvd4cQrO0tdpi+zzqZHQ4cV24qa0W62uxzjKsNEREMnEQTBdcGMIGY0GhEWFob29nbo9XpfhzMsThRW4Zm/bRK1vfi7HyAhJtwn8XxwsApbTtSJ2q4bH4M7Z6b4JB5/4RQEHKk24kiVEU43f4XJ4WrMH8U9oYiIgKF9fvu854Y8b8+RYtH19KQonyU2BTVGbD0pTmwSItT43rQkn8TjL9rNNmwrakFDh9XlmEwqwazUcIyL5Q7eRESXg8lNkLHbHfjmRKmobc5k30z/7rTY8Y9dpbi4b1AuleDB+RlQjtDpy4IgIL+hE/vL2mBz010THaLEdVkGhGsUPoiOiCg4MLkJMscLq9DRJd5zaNZVo/o5e/gIgoA395ajtdMmar91aiKSR+hsn26bA7vOul+QTwJgcpIekxP1kEnZW0NEdCWY3ASZvkNSo9NiEWMI9XocB4pb8G2JeCr62IRQLMqJ7ecWwa2qzYztxS1up3jr1XJcl2lAbOjIW4+JiGg4MLkJIlabHQdPlonafDEk1WSy4K194m0ftCoZ7rsmfcTVkDicAg5WtuN4jcnt8bGxIZiVGg4Fp8MTEXkMk5sgcuR0BcyWC8NAEvSsSuxNTqeAV3aWwmxzitrvmZM64qZ9t3X3FA03droWDWsUUswfZUBqhMYHkRERBTcmN0Fkz5GzouvjMhNgCAvxagyfn6hDcZ+F6GZlRWJqusGrcfiSIAgoaOzE3tI2lz20gJ4p3gtGGaDlFG8iomHB5CZImC02HD4lHgqa7eVC4tLGTnx6pEbUFhWqHFHr2VjsTuwuaXG7L5RUAlydEo6ceN2IG54jIvImJjdB4lBeOay2CyvcSiUSXJ3rvSEpi82BV3aUwHFRT4VEAjwwPwOaEdJDUWu0YFtRMzqsrkXD4Ro5FmZFIipkZA3NERH5ApObILH3qHiW1MTsJISFeq+e472DVag3iqegL50Uj8xYnddi8BWnIOBotQnfVra7Pc6iYSIi72JyEwQ6uy04fLpC1ObNIan8aiN25TeK2jJiQnDTJN9t1OktXVYHthU3o7rd4nJMJZdiXgZ38SYi8jYmN0Hg4IkyOBwXZifJZFLMyE33ymObrQ5s/LpM1KaUS/HA/PSg3+27qs2MbcXN6O4zMwwAEvQqXJtpgE7FPzEiIm/jO28Q6DskNXlsCkI03lkQ7oNvq9DcZ3+k26YnIUav9srj+4JTEHCo0ogj1Ua3x6clh+GqxFBIWTRMROQTTG4CnLGjG8cLq0Vt3hqSyq8xYmef4ajRcTosGBvtlcf3hQ6LHV8VNaPO5Lp2TYhShoVZkYjXc6VhIiJfYnIT4A4cL4XTeWFYRCGXYVpO2rA/rsXmwD/dDEfde01a0E5zLmvpxo6zLbDYXYehUiPUmD/KAI1iZMwMIyLyZ0xuAlzfIakp41OhVg3/jtL//rYaTX16L743LTEoh6McTgHfVLThRG2HyzGpBJiREo6JXLuGiMhvMLkJYC3tnThVJF40zxt7SRXWmrD9dIOoLStOh2vHxQz7Y3tbh8WOL840o6HDdRgqVNUzDMUNL4mI/AuTmwC2/1gJLl7cX6VUYMr44V0N2GJzYOPuMlGbQibBfUE4HFXZ1o2vitwPQ2UYNJg3ygCVPLhnhBERBSImNwFs71HxXlLTc9KgVAzvr/TDQ9VoNInXdPnetOCaHeUUBByuMuJwletsKJlEgllp4RgXGxJ0yRwRUbBgchOgGltMKCytE7XNmTK8Q1KFtSZsOyUejsqM1eG68cEzHNVtc2BbUTOq3CzKp1fLsWg0t1AgIvJ3TG4C1L5jJaLrWrUSk7KThu3xLHbX2VHBNhxVZ7TgizPN6LK57g2VZtBgAYehiIgCApObALX3iHiW1NW5GZDLh28a8seHatDQZ++o705LQmxY4A9HCYKAE7UmHChvF9UwAYAEwNWpnA1FRBRImNwEoNrGdpytFC+eN5xDUkV1Jnx1ql7Ulhmrw3VBMDvKYndi59kWlLZ0uxzTKmS4fjQX5SMiCjRMbgJQ30JivU6DCZkJw/JYVrsTG78ug3BRl4ZCJsG9c9MglQZ2T0ZLlw1bC5vQbra7HEsKU+G6rEguykdEFICY3ASggydKRddn5mZANkybVG4+Xov6PsW1y6YkIi48sIejzjZ1YefZFticfQeigClJekxJ0nNvKCKiAMXkJsC0tHe6DEkN1w7gtW3d2HJcPCMrIyYE10+IHZbH8wanIOCb8nYcrzW5HFPJpbgu04CUCI0PIiMiIk9hchNgDp8qF13XqJUYPyre448jCALe2FMO+0U9G1IJcM+c1IAdjuq2OfDlmWbUGF2neUeHKLEoOxKhKv5JEBEFOr6TB5hvT4qTm6vGJg/LLKm9Rc04UyfeS2lRThySDFqPP5Y31Jt6pnl3Wl2neY+JCcGc9AjIAzRpIyIiMSY3AcRiteHEmSpR27QJqR5/HGO3De9/Uylqi9QpcfNVnu8h8obT9R3YU9qKvuU1UgkwJz0CY2O42jARUTBhchNAjhdWw2a/0PMglUhw1VjP7yX1/sEqdFrEPRw/mp0KVYDNHLI7BewpbUVBQ6fLsRClDItGc9NLIqJgxOQmgHx7skx0fUxGHEJDPDtrKb/GiP1FzaK2qekRyEkO8+jjDLdOqwNbC5vc7uYdr1fh+qxIaJWBlawREdHgMLkJEIIg4PBpcb3NtJw0jz6G1e7Em3v6FCwrZfjB1ckefZzhVm+yYGuh+20UJsaH4urUME7zJiIKYkxuAkRReQPaTeJVdKeO92y9zebjtajvu8XC1ESEB9BGkYUNndhV0uJSX6OQSjBvlAGZUYFZEE1ERIPH5CZAHMoT96gkxoQjISbcY/ff35o288dGe+wxhpNTELC/rA0n+8zwAgC9So7F2ZGIDKAkjYiILh+TmwDxbV6Z6PpUD86SGmhNm0CYRWS2OfBlUTOq213Xr0kKU2FhViTUAVYMTUREl4/JTQBoaDGhorZF1DZtQprH7n9fAK9p09Jlw5aCJhgtrvtDTYzX4erUcNbXEBGNMExuAkDfWVI6rQrZ6Z7ZAsFktuG9AF3TpqS5CzuKXfeHkkqAeRkGZMeE+CgyIiLyJSY3AaBvvc2U8amQSj2zUeb737iuafPD2Sl+vaaNIAg4XG3EoUqjyzGtQobF2Vy/hohoJGNy4+e6uq04dbZG1OapepszdSbsc7OmzcTkcI/c/3CwOwXsKG7B2eYul2MxOiUWZ0chhOvXEBGNaExu/NzRgko4HM7e6zKZFFeNufJ1Z5xOAW/vqxC1+fuaNp1WB7YUNKGx03VhvuzoEMzN4P5QRETE5MbvHeozSyonKxEa9ZVPad5V0IjKFvG6OcumJPjtmjZNnVZ8XtDkduPLWanhyInXBcTMLiIiGn5MbvyYw+HEkdPi3hVPDEl1mO34+HC1qC0xQoP5Y2Ou+L6HQ0lzF7YXt4imqgOAUibBwqxIpERofBQZERH5IyY3fqygtA4dXeK1WzyxKvHHh6tdioh/MDMZMj8b0hEEAUdrTDhY0e5yTK+SY8mYKERoFT6IjIiI/BmTGz/Wd5ZUakIkog2hV3SfFc1d2FXQKGqbmh6BsQn6K7pfT3M4Bew824KiJtfC4fhQFRZlR0LjxzO6iIjId5jc+LG+9TZXulGmIAh4e38FhItGdxQyCb4/I+mK7tfTum09O3rXmdwXDl+TEeF3vUxEROQ/mNz4qeqGNtQ0iodjpl3hkNS3Ja0o6rMS8Y2T4hGp8581YVq7bNhc0AiTxbVweGZqGCbGh7JwmIiIBsTkxk/1HZKK0GsxKuXyN7G02BwuKxFHhSqxOCfusu/T06rbzdha2AzrRVPfgZ4dva/LikSagYXDRER0aUxu/FTfLRemjL+yTSw/O1aLti6bqO2OGclQyj2z0vGVKmzoxK6SFvSZEAWdUoYlY6K4ozcREQ0akxs/ZOo0o6CkVtR2JfU2DUYzvjhZL2obn6jHpNTwy75PTxEEAYeqjDhc5bqVQoxOiRuyo6DlisNERDQETG780JHTFbi4A0Mhl2Hi6MTLvr939leK1oiRSSX4wcxkn9euDDQjKt2gwbWZBihk/tGzREREgYPJjR/6tk+9zaQxyVAqLu9XdaKyDScqxYXJ142PQXy4b+tXzDYHtp5pRq3R4nIsNz4UV6eG+Tz5IiKiwMTkxs/Y7Q4czffMqsQ2hxPv7hcXEes1ctx8VcJlx+cJ7WYbNuc3od1sdzk2Nz0C4+N0PoiKiIiCBZMbP3PqbC3MFnHh75TLnAL+ZV496vv0jHxvWhI0PqxhqTNZsKWgCWa764yohaMjkcqtFIiI6AoxufEzfWdJZaXGIEKvHfL9tHVa8dkxcVFyRkwIZmVFXkl4V6SkuQvbilvg6DMlSquQ4caxUYjijCgiIvIAJjd+xnWjzLTLup+PD9fAYrvQOyKRAHfOTPFZHcvJWhP2lrW5tBu0Ctw4Jgo6FV+KRETkGfxE8SN1TUbUN4unRE8ZlzLk+6lq6cLeoiZR2+ysKKRHh1xRfJdDEAR8U9GOYzUml2PJ4WpcnxXpN2vtEBFRcPCLT5X169cjLS0NarUaM2bMwMGDB/s99+WXX8bcuXMRERGBiIgILFy4cMDzA8mJwirRdb1Og7TEoQ8jvX+wSrR/lEohxbIp3i8idjgFbC9ucZvYjIkJwQ3ZUUxsiIjI43z+yfLuu+9i5cqVeOqpp3DkyBHk5uZi8eLFaGhocHv+zp07ceedd2LHjh3Yv38/kpOTsWjRIlRXV3s5cs873ie5yRmdOORhpFNV7TjVZ0G8xTlxCPdyPYvV4cTnBY1u17CZmqzHPG5+SUREw8Tnyc3zzz+PBx98EPfddx/GjRuHDRs2QKvV4tVXX3V7/ltvvYWf/exnmDRpEsaMGYNXXnkFTqcT27Zt83LknuV0OnHyjDhBm5Q9tN26nU4B7x8UJ0jhWgUW58RecXxD0Wl14NNTDahqF8/UkgCYNyoCU5O4hg0REQ0fnyY3VqsVhw8fxsKFC3vbpFIpFi5ciP379w/qPrq6umCz2WAwGIYrTK8oqWxCZ7c4GZg4xORmf3Ezqlq6RW23TEmASuG9qd9t3TZ8nFePpk7xdHa5VIIbxkRhbAzXsCEiouHl04LipqYmOBwOxMaKexZiY2NRUFAwqPv4zW9+g4SEBFGCdDGLxQKL5ULSYDS67mHkD46fEfe4JESHISpi8ImAxe7AR4fEPT+JERrMzorySHyDUWey4POCJlj6rGGjlkuxZEwUYkNVXouFiIhGLp8PS12JP/7xj3jnnXfw0UcfQa1Wuz1n7dq1CAsL670kJyd7OcrB6VtMPNRem6/yGlx2/b5tehKkXqprKWvpxn9ON7okNnq1HLfmxDCxISIir/FpchMVFQWZTIb6evGO1fX19YiLixvwtn/+85/xxz/+EV988QUmTpzY73mrV69Ge3t776WysrLfc33FYrUhv6RO1JY7ZvBJmLHbhs3HxQv2jUvUY0KS3iPxXUphQye2Fja5LM4XHaLErRNiEKZWeCUOIiIiwMfJjVKpxJQpU0TFwOeLg2fOnNnv7f7f//t/+P3vf48tW7Zg6tSpAz6GSqWCXq8XXfzN6bN1cDgu9HhIJRKMz4wf9O0/PeK6YN9t05O8UrR7vMaIHWdbIPRpTw5X4zvjo6HxYr0PERER4AeL+K1cuRLLly/H1KlTMX36dKxbtw6dnZ247777AAD33HMPEhMTsXbtWgDAn/70Jzz55JP417/+hbS0NNTV9fR46HQ66HSBWazad0gqMzUGIZrBDePUtnVjd0GjqG1mZiRSIoe+ZcNQDLQ4X3Z0CK7hVG8iIvIRnyc3d9xxBxobG/Hkk0+irq4OkyZNwpYtW3qLjCsqKiCVXuhg+vvf/w6r1YrbbrtNdD9PPfUUnn76aW+G7jF917cZSr3Nv7+txsWjQQqZBMumJHoqNLecgoDdJa0oaOh0OZabEIqrUzjVm4iIfMfnyQ0ArFixAitWrHB7bOfOnaLrZWVlwx+QF7WZulBe0yxqyx1kclNYa8Kx8jZR26KcOBh0w7dgn90pYFtRM0r7TDkHgKtTwjAp0f+G/YiIaGTxi+RmJMs7UyO6rlIqMDo15pK3EwQB7x8UF0eHquW4YeLAhdhXwmp3YkthE2qMFpdj80cZMCbG+3tXERF5ktPphNVq9XUYI5ZSqRSN1lwuJjc+dqxQnKBMyEyAXH7pItxvS1pR1ije2uA7kxOgUQ5PAW+3zYHP8htdFueTSSS4fnQk0gyaYXlcIiJvsVqtKC0thdPpvPTJNCykUinS09OhVF7ZCASTGx8SBMHN+jaXrpex2p3497fi28WGqTA3e3gW7DNZ7Nh0uhHtZruoXSnrWXU4Qe9+jSEiokAhCAJqa2shk8mQnJzskd4DGhqn04mamhrU1tYiJSXlimo3mdz4UE1jO5rbxEW5g1nfZsfpBjR3iLtNvz89GXKZ5/8YW7tt2HS6EZ1Wh6hdo5Bi6dhoRHl5Q04iouFgt9vR1dWFhIQEaLXDO9uU+hcdHY2amhrY7XYoFJe/RhqTGx/q22sTodciKTZ8wNt0Wx0uC/aNjtMhNyXM0+GhqdOKz/Ib0W0Td9GGqmS4aVw0F+cjoqDhcPR8gbvS4RC6Mueff4fDweQmUB0vcJ0CfqluuK9O1aPTIu5FGY4F++pMFmzOb4LVIU5sDFoFlo6NRsgw1fYQEfkSl7HwLU89/0xufMThcCKvWDxT6lJTwDvMdnxxUrxVxaTUcGR4eKft6nYzthQ0wdZnO4UYnRI3jomCmqsOExGRH2Ny4yPFFQ3oNovrZnJGD1xMvPVkHbovqn2RSIBlUxI8GldZSze+PNMMhyBObBL0KtwwJgrKYajrISIi8iR+UvlI31WJk+MiYAjrf52Y9i4bvsoT99pMSzcgyeC5wrfipi58cabJJbFJCVfjxrHRTGyIiPzUqlWroFKpcNddd/k6FL/ATysfOVFYLbqemz3wLKnNx2thc1xIOqQS4BYP9trk13fgq6Jm9BmJwqhIDRZnR0HOfaKIiPzW6tWr8dxzz+Htt99GcXGxx+9/7dq1mDZtGkJDQxETE4Nly5ahsLDQ44/jKRyW8oFusxWFZeJemIHWt2kyWbArX7w55qysKMSGeWZ9mRM1Juzrs40DAIyJ6dkAU8oCOyIaQQRBgLHD7NMY9Dr1kIprw8LCcP/99+MXv/gFTp48iczMTI/Gs2vXLjzyyCOYNm0a7HY7fvvb32LRokU4ffo0QkL8b3V6Jjc+cOpsrWgFTJlMivGZ/ffCbDpaC/tFXSpyqQQ3T46/4jgEQcDhaiMOVRpdjk2I02F2WjhnDhDRiGPsMOPHj//TpzG8+j/LERY6tJXf7XY7tFot8vLycOutt3o0ni1btoiub9y4ETExMTh8+DCuueYajz6WJ3BYygf6rm+TnRYLtcr9fP66NjP2FTWJ2uaNjUakTnVFMQiCgG8r3Sc2kxP1TGyIiALM448/jo6ODuTl5fV7zpo1a6DT6Qa8VFRUXPKx2tvbAQAGg8Fj8XsSe258oO/6NgPNkvr0SI2oDkYpl2LppCvrtREEAQfK23G81uRybEZKGK7izt5ERAHl8OHD2LBhA5YuXTpgcvPwww/j9ttvH/C+EhIGrud0Op147LHHMHv2bEyYMOGy4h1uTG68rKW9E1X1raK2Sf1suVDV0oWDJS2ituvGx0CvufxVGwVBwN6yNuTVdbgcm5segfFxnl0zh4iIhpfT6cRDDz2EFStWYMaMGfjRj34Em83mdoVfg8Fwxb0tjzzyCPLy8rBnz54rup/hxOTGy/oOSWnVSoxKjnZ77seHxYv8aZQyLM6Ju+zHFgQBe0rbcKreNbGZNyoCYz28GCARUSDS69R49X+W+zyGwXrxxRfR1NSEZ599FhUVFbDZbCgoKEBOTo7LuWvWrMGaNWsGvL/Tp08jJSXF7bEVK1Zg06ZN2L17N5KSBl541peY3HhZ3/VtJmQlQOZm/ZiShg4c6zODaVFOLHTqy/uVOQUBu0taUdDQ6XLs2kwDRkf7X7U7EZEvSCSSIRfz+kp1dTWeeOIJvP322wgJCUFWVhZUKhXy8vLcJjeXOywlCAJ+/vOf46OPPsLOnTuRnp7usZ9hODC58SJBEHDyzODWt+nba6NTy3H9+NjLelynIGBHcQuKmrpE7RIA12VFIjOKO+ASEQWiRx99FEuWLMHSpUsBAHK5HGPHju237uZyh6UeeeQR/Otf/8Inn3yC0NBQ1NXVAeiZgq7R+F8iyOTGiypqW9FqFCcYOW7WtymoMeJ0tXgW05KJcVBfxmaVTkHA9qIWFDeLH1cqARZmRSIjkokNEVEg2rRpE7Zv3478/HxRe05OzoBFxZfj73//OwBg/vz5ovbXXnsN9957r0cfyxOY3HhR33qbqAgdEqLDRG2CILj02oRrFVgwLmbIj+dwCviqqBmlLd2idqkEWDQ6CmkG/8u2iYhocG666Sa0tra6tL/++usefyyhz7Y8/o7JjRedOCNObiaOTnJZS+ZEZTuK+xT8Lp0UD6V8aEsSOZwCvjzTjLJWcWIjk0iwKDsSqRFMbIiIKDgxufESu92BU8W1orbcbHGluSAI+PSIuNcmUqfE3OyoIT1Wv4mNVIIl2VFICvfMtg1ERET+iMmNl5RUNcFitYna+i7ed7KqHeV9in6/MzkB8iHsxt1fYqOQSnDDmCgkemg/KiIiIn/F5MZL8kvqRNeTYiNEUw0FQcCmo+KenVi9CldnRg76Mc7X2LhLbG4cG414/ZVt2UBERBQIuLeUl+SfFScuY0eJF+PLrzGhpM8aNDdOiodMOrj9nforHmZiQ0REIw2TGy8QBAH5JX2Smwzx/lD/OepaazNj1ODWInA4BWxjYkNERASAyY1XVNW3oaPLImobO+pCclNYa0JRnesMqcHU2jgFAduLm1HSJ7GRSyVYMjaKiQ0REY04TG68oO+QVGR4CKIjLuzjtKlPr01EiAKzsi5da+MUBGwrasHZZtfE5saxUUjQs3iYiIhGHiY3XtB3SGpMRnzv+jZn6zuQX2MSHV+Se+lem/MrD5/ts/KwTCrBkjFMbIiIaORicuMF+WfFM6XGXVRv07fWJlyrwJzRA69r0zMU5bqlgkwqwY2c7k1ENOKsWrUKKpUKd911l69D8QtMboZZU2sHGlvFPTPnZ0qVNnYir0q8h9TiiXEDrkYsCAJ2nW1FcZP7HhsmNkREI8/q1avx3HPP4e2330ZxcbHH73/37t24+eabkZCQAIlEgo8//tjjj+FJTG6GWUGf9W20aiVS4ntmQX12TDxcFaqW45ox/ffaCIKAr0tbUdgonjLeu/IwExsiohEpLCwM999/P6RSKU6ePOnx++/s7ERubi7Wr1/v8fseDlzEb5id7ru+zbl6m8rmLhwrbxMdW5QTC5Xc/c7fgiBgf3kbTtf3SWwkEtzALRWIiDxGEASYzHafxhCqlrvsPXgpdrsdWq0WeXl5uPXWWz0az5IlS7BkyRKP3udwYnIzzFyLiXuGpDb16bUJUcmwYGz/O39/W2nEiVrxdHGpBFiUHYlkJjZERB5jMtux8q3jPo3h+R/mQq9RDOk2jz/+ODo6OpCXl9fvOWvWrMGaNWsGvJ/Tp08jJSVlSI/tb5jcDKOOLgsqa1tEbeNGxaO6tRtHysTb1F8/IRZqpftem8NVRhypFtfmSAAszOLu3kREBBw+fBgbNmzA0qVLB0xuHn74Ydx+++0D3ldCQoKnw/M6JjfDqKC0DsJF1+VyGUYlR+O1r8shXHRAq5Th2nHue22O1xjxbWW7S/u1WQZkRGo9HDEREQUap9OJhx56CCtWrMCMGTPwox/9CDabDQqFa8+PwWCAwTC41e8DGQuKh1FBn3qb0akxaO604dtScW/OteNjoFW55pl5dSbsL3dNbOaNikBWVIhngyUiooD04osvoqmpCc8++yxycnJgs9lQUFDg9tw1a9ZAp9MNeKmoqPDyT+B57LkZRqf7zJQamxGPzcdrRb02KoUUC8fHutw2v6EDe0rbXNrnpIdjbIzOpZ2IiDwjVC3H8z/M9XkMg1FdXY0nnngCb7/9NkJCQpCVlQWVSoW8vDzk5OS4nM9hKboiVpsdxRUNorbYuEi8e7xZ1HbtuBjo+ryIi5o6seusuCYHAGamhmFCXKjngyUiol4SiWTIxby+8uijj2LJkiVYunQpAEAul2Ps2LH91t1c7rBUR0eHaP2c0tJSHDt2DAaDwS+Lj5ncDJOi8gY4HM7e6xIApUbAeVGvjVIuxfUTxL02Jc1d2F4kHrYCgGnJYchN0A9XuEREFGA2bdqE7du3Iz8/X9Sek5MzYFHx5Th06BAWLFjQe33lypUAgOXLl2Pjxo0efSxPYHIzTPL7DEnFxUfhUFmbqG3+2GjRt4OqNjO+KmoWFSEDwFWJoZicyB4bIiK64KabbkJrq2sv/+uvv+7xx5o/fz4Eoe+nk/9iQfEw6bsTuFRvgP2ibhuFTILFOXG91+tNFmwtbBL17ADAxHgdpieHDXkxJyIiopGKyc0wcDqdKCi90HPjgASNNvH47azRUQjT9rQ1d1rxWX4TbH0ym7GxIZiZGs7EhoiIaAiY3AyD8poWmC223usmqKFUXUhuJBJgcU5PrU272YbP8ptgvag+BwBGRWoxNz2CiQ0REdEQMbkZBhfvJyUAsGrCoJBfKG+anBaBGL0aHRY7Np1uRJfNIbp9crga12YaIGViQ0RENGRMbobBxcXEJqig1Ij3frphYhy6bQ58lt8Ik0Wc2MSHqrBodCRkUiY2REREl4PJjYcJgtBbTCwAaJdoEapV9R4fHadDYoQGm/Ob0Not3nU2KkSBG8ZEQSHjr4WIiOhy8VPUw+qajGgzdQEAuqCEVSKHTnuh5+b6nFhsKWxCY6dVdLswtRxLx0ZDJeevhIiI6Erwk9TDCi4akmqTaCCXSaE+t29UQoQGdV121BgtotuEKGW4aVw0NAr3u4ITERHR4DG58bDzxcRmyGGWKM8NSfXUz6QmhKK8zSw6X6OQ4uZx0Qh1s3EmERERDR2TGw/LL+lJbtokWgCALqRnSCpUr4K1zwJ9SpkES8dGIzxA9jAhIiIKBExuPKjN1IXaxnZYIUOnRAkACNWqIFXKYAjTiNaskUklWDImGlEhSl+FS0REQWLVqlVQqVS46667fB2KX2By40H5Z3vqbdolGgASSCUShIRqoNQoYNBdSGIkABaNjkS8XuX+joiIiIZg9erVeO655/D222+Ldu/2pPXr1yMtLQ1qtRozZszAwYMHL3mbp59+GhKJRHQZM2bMsMR3MSY3HpRfUgs7JDBJeoaioqNCIdcoEKlTitatmZ9pQGqExldhEhFRkAkLC8P9998PqVSKkydPevz+3333XaxcuRJPPfUUjhw5gtzcXCxevBgNDQ2XvO348eNRW1vbe9mzZ4/H4+uLVawelF9SB6NEAwESaDRKxCdGQgIJonQXemhmpoYhOzrEh1ESEdFABEGA2e689InDSC2XDnn7HbvdDq1Wi7y8PNx6660ejef555/Hgw8+iPvuuw8AsGHDBnz22Wd49dVXsWrVqgFvK5fLERcXN+A5nsbkxkO6zVacrWxEuyQSSpUcyanRUChkiAhRQHFu7Zrc+FDkJuh9HCkREQ3EbHfin4dqfBrD8qkJQ14e5PHHH0dHRwfy8vL6PWfNmjVYs2bNgPdz+vRppKSk9F63Wq04fPgwVq9e3dsmlUqxcOFC7N+//5JxFRUVISEhAWq1GjNnzsTatWtF9z8cmNx4SGFZPdqhgVShQGpqDOQyKeRSKaLP1dVkRWlxdWqYj6MkIqJgdPjwYWzYsAFLly4dMLl5+OGHcfvttw94XwkJCaLrTU1NcDgciI2NFbXHxsaioKBgwPuaMWMGNm7ciOzsbNTW1uKZZ57B3LlzkZeXh9DQ0Ev8VJfPL2puhlqk9P7772PMmDFQq9XIycnB5s2bvRRp//KKa2GShSAlrafHRiaTQq9VQK2QITlcjfmjDNzhm4iIPM7pdOKhhx7CihUrcM8996CoqAg2m83tuQaDAZmZmQNe5HLP9XssWbIE3//+9zFx4kQsXrwYmzdvRltbG9577z2PPYY7Pk9uhlqktG/fPtx55524//77cfToUSxbtgzLli0bMFP1ht2n65GQFgu1qmfNGrlMihi9CjE6JTfCJCKiYfPiiy+iqakJzz77LHJycmCz2frtUVmzZg10Ot2Al4qKCtFtoqKiIJPJUF9fL2qvr68fci1NeHg4Ro8ePWwzus6TCIIgXPq04TNjxgxMmzYNf/3rXwH0ZKDJycn4+c9/7rZI6Y477kBnZyc2bdrU23b11Vdj0qRJ2LBhwyUfz2g0IiwsDO3t7dDrPVP/YrHa8IP1e6AJvVAobNCrMTsrGssmxHBbBSIiP2c2m1FaWor09HSoVKqAKSiurq7G2LFj8fbbb2Pp0qWw2+3Q6XR47bXXcOedd7qc39LSgpaWlgHvMy0tzaX3ZsaMGZg+fTpefPFFAD2f1SkpKVixYsUlC4ov1tHRgZSUFDz99NN49NFHXY5f/HtQq9WiY0P5/PZpzc3lFCnt378fK1euFLUtXrwYH3/8sdvzLRYLLJYLezkZjcYrD/wigiDglT1losQGANKiQrhfFBFRAJJIJAHz3v3oo49iyZIlWLp0KYCemUljx47tdzTDYDDAYDAM+XFWrlyJ5cuXY+rUqZg+fTrWrVuHzs7O3tlTAPDXv/4VH330EbZt29bb9qtf/Qo333wzUlNTUVNTg6eeegoymcxt4uVJPk1uLqdIqa6uzu35dXV1bs9fu3YtnnnmGc8E7IYA4GRFm6hNBgH3Tk/iflFERDRsNm3ahO3btyM/P1/UnpOT4/FSjTvuuAONjY148sknUVdXh0mTJmHLli2iz+OmpiacPXtWdLuqqirceeedaG5uRnR0NObMmYMDBw4gOjrao/H1FfSfvqtXrxb19BiNRiQnJ3vs/qUSCW5ID8G/TzbAodbCKQhIlFpEa9sQERF52k033YTW1laX9tdff31YHm/FihVYsWJFv8effvppPP3006K2d955Z1hiuRSfJjeXU6QUFxc3pPNVKhVUquFNNJbNG4dl88Zhz9lmfFtYj1smjhrWxyMiIqL++XS2lFKpxJQpU0Tjc06nE9u2bcPMmTPd3mbmzJmi8wHgyy+/7Pd8b5ozKhK/vHEcMpKifB0KERHRiOXzYalLFSndc889SExMxNq1awEAv/jFLzBv3jw899xzWLp0Kd555x0cOnQIL730ki9/DCIiIvITPk9uLlWkVFFRAan0QgfTrFmz8K9//QuPP/44fvvb3yIrKwsff/wxJkyY4KsfgYiIiPyIz9e58bbhWOeGiIgC20Drq5D3eGqdG5+vUExEROQvRtj3fb/jqeefyQ0REY14MlnPon1Wq9XHkYxs55//87+Py+XzmhsiIiJfk8vl0Gq1aGxshEKhENV6knc4nU40NjZCq9Ve8eadTG6IiGjEk0gkiI+PR2lpKcrLy30dzogllUqRkpIyqH21BsLkhoiICD1rr2VlZXFoyoeUSqVHes2Y3BAREZ0jlUo5WyoIcFCRiIiIggqTGyIiIgoqTG6IiIgoqIy4mpvzCwQZjUYfR0JERESDdf5zezAL/Y245MZkMgEAkpOTfRwJERERDZXJZEJYWNiA54y4vaWcTidqamoQGhp6xfPo+zIajUhOTkZlZSX3rboEPleDx+dq8PhcDR6fq6Hh8zV4w/VcCYIAk8mEhISES04XH3E9N1KpFElJScP6GHq9ni/+QeJzNXh8rgaPz9Xg8bkaGj5fgzccz9WlemzOY0ExERERBRUmN0RERBRUmNx4kEqlwlNPPQWVSuXrUPwen6vB43M1eHyuBo/P1dDw+Ro8f3iuRlxBMREREQU39twQERFRUGFyQ0REREGFyQ0REREFFSY3REREFFSY3AzR+vXrkZaWBrVajRkzZuDgwYMDnv/+++9jzJgxUKvVyMnJwebNm70Uqe8N5bnauHEjJBKJ6KJWq70Yre/s3r0bN998MxISEiCRSPDxxx9f8jY7d+7E5MmToVKpkJmZiY0bNw57nP5gqM/Vzp07XV5XEokEdXV13gnYR9auXYtp06YhNDQUMTExWLZsGQoLCy95u5H6fnU5z9dIfc/6+9//jokTJ/Yu0Ddz5kx8/vnnA97GF68rJjdD8O6772LlypV46qmncOTIEeTm5mLx4sVoaGhwe/6+fftw55134v7778fRo0exbNkyLFu2DHl5eV6O3PuG+lwBPatZ1tbW9l7Ky8u9GLHvdHZ2Ijc3F+vXrx/U+aWlpVi6dCkWLFiAY8eO4bHHHsMDDzyArVu3DnOkvjfU5+q8wsJC0WsrJiZmmCL0D7t27cIjjzyCAwcO4Msvv4TNZsOiRYvQ2dnZ721G8vvV5TxfwMh8z0pKSsIf//hHHD58GIcOHcK1116LW265BadOnXJ7vs9eVwIN2vTp04VHHnmk97rD4RASEhKEtWvXuj3/9ttvF5YuXSpqmzFjhvDQQw8Na5z+YKjP1WuvvSaEhYV5KTr/BUD46KOPBjznv//7v4Xx48eL2u644w5h8eLFwxiZ/xnMc7Vjxw4BgNDa2uqVmPxVQ0ODAEDYtWtXv+eM5PervgbzfPE964KIiAjhlVdecXvMV68r9twMktVqxeHDh7Fw4cLeNqlUioULF2L//v1ub7N//37R+QCwePHifs8PFpfzXAFAR0cHUlNTkZycPOA3gZFupL6ursSkSZMQHx+P66+/Hnv37vV1OF7X3t4OADAYDP2ew9fVBYN5vgC+ZzkcDrzzzjvo7OzEzJkz3Z7jq9cVk5tBampqgsPhQGxsrKg9Nja23/H7urq6IZ0fLC7nucrOzsarr76KTz75BG+++SacTidmzZqFqqoqb4QcUPp7XRmNRnR3d/soKv8UHx+PDRs24N///jf+/e9/Izk5GfPnz8eRI0d8HZrXOJ1OPPbYY5g9ezYmTJjQ73kj9f2qr8E+XyP5PevkyZPQ6XRQqVR4+OGH8dFHH2HcuHFuz/XV62rE7QpO/mnmzJmizH/WrFkYO3Ys/u///g+///3vfRgZBbLs7GxkZ2f3Xp81axbOnj2Lv/zlL3jjjTd8GJn3PPLII8jLy8OePXt8HUpAGOzzNZLfs7Kzs3Hs2DG0t7fjgw8+wPLly7Fr165+ExxfYM/NIEVFRUEmk6G+vl7UXl9fj7i4OLe3iYuLG9L5weJynqu+FAoFrrrqKhQXFw9HiAGtv9eVXq+HRqPxUVSBY/r06SPmdbVixQps2rQJO3bsQFJS0oDnjtT3q4sN5fnqayS9ZymVSmRmZmLKlClYu3YtcnNz8cILL7g911evKyY3g6RUKjFlyhRs27att83pdGLbtm39jjXOnDlTdD4AfPnll/2eHywu57nqy+Fw4OTJk4iPjx+uMAPWSH1decqxY8eC/nUlCAJWrFiBjz76CNu3b0d6evolbzOSX1eX83z1NZLfs5xOJywWi9tjPntdDWu5cpB55513BJVKJWzcuFE4ffq08JOf/EQIDw8X6urqBEEQhLvvvltYtWpV7/l79+4V5HK58Oc//1nIz88XnnrqKUGhUAgnT5701Y/gNUN9rp555hlh69atwtmzZ4XDhw8LP/jBDwS1Wi2cOnXKVz+C15hMJuHo0aPC0aNHBQDC888/Lxw9elQoLy8XBEEQVq1aJdx9992955eUlAharVb49a9/LeTn5wvr168XZDKZsGXLFl/9CF4z1OfqL3/5i/Dxxx8LRUVFwsmTJ4Vf/OIXglQqFb766itf/Qhe8dOf/lQICwsTdu7cKdTW1vZeurq6es/h+9UFl/N8jdT3rFWrVgm7du0SSktLhRMnTgirVq0SJBKJ8MUXXwiC4D+vKyY3Q/Tiiy8KKSkpglKpFKZPny4cOHCg99i8efOE5cuXi85/7733hNGjRwtKpVIYP3688Nlnn3k5Yt8ZynP12GOP9Z4bGxsr3HjjjcKRI0d8ELX3nZ+u3Pdy/vlZvny5MG/ePJfbTJo0SVAqlUJGRobw2muveT1uXxjqc/WnP/1JGDVqlKBWqwWDwSDMnz9f2L59u2+C9yJ3zxEA0euE71cXXM7zNVLfs3784x8LqampglKpFKKjo4XrrruuN7ERBP95XUkEQRCGt2+IiIiIyHtYc0NERERBhckNERERBRUmN0RERBRUmNwQERFRUGFyQ0REREGFyQ0REREFFSY3REREFFSY3BAREVFQYXJDREREQYXJDREREQUVJjdEFPAaGxsRFxeHNWvW9Lbt27cPSqXSZUdiIgp+3FuKiILC5s2bsWzZMuzbtw/Z2dmYNGkSbrnlFjz//PO+Do2IvIzJDREFjUceeQRfffUVpk6dipMnT+Lbb7+FSqXydVhE5GVMbogoaHR3d2PChAmorKzE4cOHkZOT4+uQiMgHWHNDREHj7NmzqKmpgdPpRFlZma/DISIfYc8NEQUFq9WK6dOnY9KkScjOzsa6detw8uRJxMTE+Do0IvIyJjdEFBR+/etf44MPPsDx48eh0+kwb948hIWFYdOmTb4OjYi8jMNSRBTwdu7ciXXr1uGNN96AXq+HVCrFG2+8ga+//hp///vffR0eEXkZe26IiIgoqLDnhoiIiIIKkxsiIiIKKkxuiIiIKKgwuSEiIqKgwuSGiIiIggqTGyIiIgoqTG6IiIgoqDC5ISIioqDC5IaIiIiCCpMbIiIiCipMboiIiCioMLkhIiKioPL/A8g+GIC0Vyy6AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thinkplot.PrePlot(3)\n",
"for lam in [2.0, 1, 0.5]:\n",
" xs, ps = thinkstats2.RenderExpoCdf(lam, 0, 3.0, 50)\n",
" label = r\"$\\lambda=%g$\" % lam\n",
" thinkplot.Plot(xs, ps, label=label)\n",
"\n",
"thinkplot.Config(title=\"Exponential CDF\", xlabel=\"x\", ylabel=\"CDF\", loc=\"lower right\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the distribution of interarrival times from a dataset of birth times."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Downloaded nsfg.py\n"
]
}
],
"source": [
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/nsfg.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/analytic.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/babyboom.dat\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import analytic\n",
"\n",
"df = analytic.ReadBabyBoom()\n",
"diffs = df.minutes.diff()\n",
"cdf = thinkstats2.Cdf(diffs, label=\"actual\")\n",
"\n",
"thinkplot.Cdf(cdf)\n",
"thinkplot.Config(xlabel=\"Time between births (minutes)\", ylabel=\"CDF\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's what the CCDF looks like on a log-y scale. A straight line is consistent with an exponential distribution."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thinkplot.Cdf(cdf, complement=True)\n",
"thinkplot.Config(\n",
" xlabel=\"Time between births (minutes)\",\n",
" ylabel=\"CCDF\",\n",
" yscale=\"log\",\n",
" loc=\"upper right\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normal distribution\n",
"\n",
"Here's what the normal CDF looks like with a range of parameters."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thinkplot.PrePlot(3)\n",
"\n",
"mus = [1.0, 2.0, 3.0]\n",
"sigmas = [0.5, 0.4, 0.3]\n",
"for mu, sigma in zip(mus, sigmas):\n",
" xs, ps = thinkstats2.RenderNormalCdf(mu=mu, sigma=sigma, low=-1.0, high=4.0)\n",
" label = r\"$\\mu=%g$, $\\sigma=%g$\" % (mu, sigma)\n",
" thinkplot.Plot(xs, ps, label=label)\n",
"\n",
"thinkplot.Config(title=\"Normal CDF\", xlabel=\"x\", ylabel=\"CDF\", loc=\"upper left\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I'll use a normal model to fit the distribution of birth weights from the NSFG."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/nsfg.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/first.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/2002FemPreg.dct\")\n",
"download(\n",
" \"https://github.com/AllenDowney/ThinkStats2/raw/master/code/2002FemPreg.dat.gz\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"import nsfg\n",
"import first"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"preg = nsfg.ReadFemPreg()\n",
"weights = preg.totalwgt_lb.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the observed CDF and the model. The model fits the data well except in the left tail."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean, Var 7.280883100022579 1.5452125703544897\n",
"Sigma 1.2430657948614343\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# estimate parameters: trimming outliers yields a better fit\n",
"mu, var = thinkstats2.TrimmedMeanVar(weights, p=0.01)\n",
"print(\"Mean, Var\", mu, var)\n",
"\n",
"# plot the model\n",
"sigma = np.sqrt(var)\n",
"print(\"Sigma\", sigma)\n",
"xs, ps = thinkstats2.RenderNormalCdf(mu, sigma, low=0, high=12.5)\n",
"\n",
"thinkplot.Plot(xs, ps, label=\"model\", color=\"0.6\")\n",
"\n",
"# plot the data\n",
"cdf = thinkstats2.Cdf(weights, label=\"data\")\n",
"\n",
"thinkplot.PrePlot(1)\n",
"thinkplot.Cdf(cdf)\n",
"thinkplot.Config(title=\"Birth weights\", xlabel=\"Birth weight (pounds)\", ylabel=\"CDF\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A normal probability plot is a visual test for normality. The following example shows that if the data are actually from a normal distribution, the plot is approximately straight."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 1000\n",
"thinkplot.PrePlot(3)\n",
"\n",
"mus = [0, 1, 5]\n",
"sigmas = [1, 1, 2]\n",
"\n",
"for mu, sigma in zip(mus, sigmas):\n",
" sample = np.random.normal(mu, sigma, n)\n",
" xs, ys = thinkstats2.NormalProbability(sample)\n",
" label = \"$\\mu=%d$, $\\sigma=%d$\" % (mu, sigma)\n",
" thinkplot.Plot(xs, ys, label=label)\n",
"\n",
"thinkplot.Config(\n",
" title=\"Normal probability plot\",\n",
" xlabel=\"standard normal sample\",\n",
" ylabel=\"sample values\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the normal probability plot for birth weights, showing that the lightest babies are lighter than we expect from the normal mode, and the heaviest babies are heavier."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mean, var = thinkstats2.TrimmedMeanVar(weights, p=0.01)\n",
"std = np.sqrt(var)\n",
"\n",
"xs = [-4, 4]\n",
"fxs, fys = thinkstats2.FitLine(xs, mean, std)\n",
"thinkplot.Plot(fxs, fys, linewidth=4, color=\"0.8\")\n",
"\n",
"xs, ys = thinkstats2.NormalProbability(weights)\n",
"thinkplot.Plot(xs, ys, label=\"all live\")\n",
"\n",
"thinkplot.Config(\n",
" title=\"Normal probability plot\",\n",
" xlabel=\"Standard deviations from mean\",\n",
" ylabel=\"Birth weight (lbs)\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we suspect that the deviation in the left tail is due to preterm babies, we can check by selecting only full term births."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"full_term = preg[preg.prglngth >= 37]\n",
"term_weights = full_term.totalwgt_lb.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the deviation in the left tail is almost gone, but the heaviest babies are still heavy."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjMAAAHHCAYAAABKudlQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB+N0lEQVR4nO3dd3zT1f4/8NcnaZqmuymdUNqyR4GyREAFFAVEFBQvIleGW1Evgl7Fqygurtd91YvA9yc4QFQU90JlKcoGQUYZbSmle2Xv8/ujNDRN2qYlbdLyej4efWjOZ+TdpDSvns/5nCMJIQSIiIiI2iiZvwsgIiIiOh8MM0RERNSmMcwQERFRm8YwQ0RERG0awwwRERG1aQwzRERE1KYxzBAREVGbxjBDREREbRrDDBEREbVpDDNE5JXRo0dj9OjR/i7DRVpaGq655hqfnW/Tpk2QJAnr1q1rdN/Zs2cjLS3NpU2SJDz11FPOx6tWrYIkScjJyfFZjefLU91EbR3DDJGP1HxwhYSEID8/32376NGjkZGR4YfKKJD873//w6pVq/xdRrM8//zz+Pzzz/1dBpEbhhkiHzObzfj3v//t7zKoha1YsQJHjx5tcJ9bbrkFRqMRqampzjaGGSLfY5gh8rHMzEysWLECZ86cabHnEELAaDS22Pn9Ra/X+7sErykUCiiVygb3kcvlCAkJgSRJrVQV0YWJYYbIxx577DHY7XavemdsNhueeeYZdO3aFUqlEmlpaXjsscdgNptd9qsZG/LDDz9gyJAhUKlUWLZsmXOMx8cff4zFixejY8eOiIiIwNSpU1FVVQWz2Yx58+YhPj4e4eHhmDNnjtu5V65cicsvvxzx8fFQKpXo06cPli5d2uzvX5Ik3HfffVi9ejV69uyJkJAQDB48GFu2bHHZ76mnnoIkSTh06BBuvvlmxMTE4JJLLmnS61Ljxx9/RGZmJkJCQtCnTx989tlnLtvLy8vx0EMPoV+/fggPD0dkZCQmTJiA/fv3ezyf3W7HY489hsTERISFheHaa69FXl6eyz7ejD2pO2YmLS0Nf/31FzZv3gxJkiBJEkaPHo2TJ09CkiS8+uqrbufYtm0bJEnChx9+WO/z1PwcfPTRR43W7Yler8eCBQuQkpICpVKJnj174qWXXoIQwrmPJEnQ6/V49913nbXPnj270XMTtYYgfxdA1N6kp6dj5syZWLFiBR599FEkJyfXu+/tt9+Od999F1OnTsWCBQuwfft2LFmyBIcPH8b69etd9j169CimT5+Ou+66C3fccQd69uzp3LZkyRKoVCo8+uijOH78ON544w0oFArIZDJUVFTgqaeewh9//IFVq1YhPT0dixYtch67dOlS9O3bF9deey2CgoLw1Vdf4d5774XD4cDcuXOb9Rps3rwZH330ER544AEolUr873//w/jx47Fjxw63cUM33ngjunfvjueff9754dmU1+XYsWOYNm0a7r77bsyaNQsrV67EjTfeiO+//x5XXnklAODkyZP4/PPPceONNyI9PR1FRUVYtmwZRo0ahUOHDrm9R8899xwkScIjjzyC4uJivPbaaxg7diz27dsHlUrVrNcEAF577TXcf//9CA8Px7/+9S8AQEJCArp06YKRI0di9erVePDBB12OWb16NSIiInDdddc1ev7m1C2EwLXXXouNGzfitttuQ2ZmJn744Qc8/PDDyM/Pdwas999/H7fffjsuuugi3HnnnQCArl27Nvu1IPIpQUQ+sXLlSgFA7Ny5U5w4cUIEBQWJBx54wLl91KhRom/fvs7H+/btEwDE7bff7nKehx56SAAQv/zyi7MtNTVVABDff/+9y74bN24UAERGRoawWCzO9unTpwtJksSECRNc9h8+fLhITU11aTMYDG7fy7hx40SXLl1c2kaNGiVGjRrV8IsghAAgAIhdu3Y523Jzc0VISIiYMmWKs+3JJ58UAMT06dNdjm/O6/Lpp58626qqqkRSUpIYOHCgs81kMgm73e5yvuzsbKFUKsXTTz/tbKt5PTt27Cg0Go2z/eOPPxYAxOuvv+5smzVrlttrCUA8+eSTzsc1PxPZ2dnOtr59+3p8HZctWyYAiMOHDzvbLBaL6NChg5g1a5bb/rWdT92ff/65ACCeffZZl3NOnTpVSJIkjh8/7mwLCwtrtBYif+BlJqIW0KVLF9xyyy1Yvnw5CgoKPO7z7bffAgDmz5/v0r5gwQIAwDfffOPSnp6ejnHjxnk818yZM6FQKJyPhw0bBiEEbr31Vpf9hg0bhry8PNhsNmdb7b/Yq6qqUFpailGjRuHkyZOoqqpq7Fv1aPjw4Rg8eLDzcefOnXHdddfhhx9+gN1ud9n37rvvdnnc1NclOTkZU6ZMcT6OjIzEzJkzsXfvXhQWFgIAlEolZLLqX3d2ux1lZWUIDw9Hz549sWfPHrf6Z86ciYiICOfjqVOnIikpyVlbS/jb3/6GkJAQrF692tn2ww8/oLS0FH//+9+9Okdz6v72228hl8vxwAMPuLQvWLAAQgh89913TfxOiFofwwxRC3n88cdhs9nqHTuTm5sLmUyGbt26ubQnJiYiOjoaubm5Lu3p6en1Plfnzp1dHkdFRQEAUlJS3NodDodLSPntt98wduxYhIWFITo6GnFxcXjssccAoNlhpnv37m5tPXr0gMFgQElJiUt73e+rqa9Lt27d3AbY9ujRAwCcY1UcDgdeffVVdO/eHUqlEh06dEBcXBz+/PNPj99j3folSUK3bt1adL6Y6OhoTJo0CWvWrHG2rV69Gh07dsTll1/u1TmaU3dubi6Sk5NdQhAA9O7d27mdKNAxzBC1kC5duuDvf/97g70zALy+06WhsRpyubxJ7eLs2JQTJ07giiuuQGlpKV555RV888032LBhg3PchsPh8Kq281Hf9+XLO4Cef/55zJ8/H5dddhk++OAD/PDDD9iwYQP69u3bKt+jt2bOnImTJ09i27Zt0Gq1+PLLLzF9+nRnrxIRecYBwEQt6PHHH8cHH3yAF154wW1bamoqHA4Hjh075vwrGACKiopQWVnpMjdJS/nqq69gNpvx5ZdfuvTubNy48bzOe+zYMbe2rKwshIaGIi4ursFjm/q6HD9+HEIIl/CTlZUFAM67jdatW4cxY8bg//2//+dybGVlJTp06NBo/UIIHD9+HP3792+wdm80FNLGjx+PuLg4rF69GsOGDYPBYMAtt9zi9bmbU3dqaip++uknaLVal96ZI0eOOLd7UzuRPzHuE7Wgrl274u9//zuWLVvmHL9R4+qrrwZQfYdLba+88goAYOLEiS1eX03Pjah1C25VVRVWrlx5Xuf9/fffXcai5OXl4YsvvsBVV11Vb29Rjaa+LmfOnHG5w0mj0eC9995DZmYmEhMTAVR/n7W/RwD45JNPPM7UDADvvfcetFqt8/G6detQUFCACRMmNFi7N8LCwlBZWelxW1BQEKZPn46PP/4Yq1atQr9+/ZoUoJpT99VXXw273Y4333zTpf3VV1+FJEkuxzZUO5E/sWeGqIX961//wvvvv4+jR4+ib9++zvYBAwZg1qxZWL58OSorKzFq1Cjs2LED7777LiZPnowxY8a0eG1XXXUVgoODMWnSJNx1113Q6XRYsWIF4uPjG7w01piMjAyMGzfO5dZsAFi8eHGjxzb1denRowduu+027Ny5EwkJCXjnnXdQVFTkEsiuueYaPP3005gzZw5GjBiBAwcOYPXq1ejSpYvHGtRqNS655BLMmTMHRUVFeO2119CtWzfccccdzX5NagwePBhLly7Fs88+i27duiE+Pt5lTMzMmTPx3//+Fxs3bvTYo9eQ5tQ9adIkjBkzBv/617+Qk5ODAQMG4Mcff8QXX3yBefPmudx+PXjwYPz000945ZVXkJycjPT0dAwbNqzpLwKRr/nvRiqi9qX2rdl1zZo1SwBwuTVbCCGsVqtYvHixSE9PFwqFQqSkpIiFCxcKk8nksl9qaqqYOHGi23lrbsn95JNPvKql5nbokpISZ9uXX34p+vfvL0JCQkRaWpp44YUXxDvvvON2S3FTbs2eO3eu+OCDD0T37t2FUqkUAwcOFBs3bmy0lua+Lj/88IPo37+/UCqVolevXm6vh8lkEgsWLBBJSUlCpVKJkSNHit9//93te6p5PT/88EOxcOFCER8fL1QqlZg4caLIzc11OWdzb80uLCwUEydOFBEREQKAx9e0b9++QiaTidOnT7u/wB6cb91arVY8+OCDIjk5WSgUCtG9e3fx4osvCofD4bLfkSNHxGWXXSZUKpUAwNu0KWBIQtTpeyUiOg+SJGHu3Lluly3IewMHDoRarcbPP//s1f6bNm3CmDFj8Mknn2Dq1KktXB1R4OGYGSKiALJr1y7s27cPM2fO9HcpRG0Gx8wQEQWAgwcPYvfu3Xj55ZeRlJSEadOm+bskojaDPTNERAFg3bp1mDNnDqxWKz788EOEhIT4uySiNoNjZoiIiKhNY88MERERtWkMM0RERNSmtfsBwA6HA2fOnEFERASn4iYiImojhBDQarVITk5ufH0yf05ys3nzZnHNNdeIpKQkAUCsX7/ebZ9Dhw6JSZMmicjISBEaGiqGDBniNglUQ/Ly8gQAfvGLX/ziF7/41Qa/8vLyGv2s92vPjF6vx4ABA3Drrbfi+uuvd9t+4sQJXHLJJbjtttuwePFiREZG4q+//mrSKP+ahdPy8vIQGRnps9qJiIio5Wg0GqSkpLgsgFqfgLmbSZIkrF+/HpMnT3a23XTTTVAoFHj//febfV6NRoOoqChUVVUxzBAREbURTfn8DtgBwA6HA9988w169OiBcePGIT4+HsOGDcPnn3/u79KIiIgogARsmCkuLoZOp8O///1vjB8/Hj/++COmTJmC66+/Hps3b673OLPZDI1G4/JFRERE7VfA3s3kcDgAANdddx0efPBBAEBmZia2bduGt99+G6NGjfJ43JIlS7B48eJWq5OIiIj8K2DDTIcOHRAUFIQ+ffq4tPfu3Ru//vprvcctXLgQ8+fPdz6uGUDUGLvdDqvV2vyCqcUpFArI5XJ/l0FERAEmYMNMcHAwhg4diqNHj7q0Z2VlITU1td7jlEollEql188jhEBhYSEqKyubWyq1oujoaCQmJnLOICIicvJrmNHpdDh+/LjzcXZ2Nvbt2we1Wo3OnTvj4YcfxrRp03DZZZdhzJgx+P777/HVV19h06ZNPquhJsjEx8cjNDSUH5IBSggBg8GA4uJiAEBSUpKfKyIiokDh11uzN23ahDFjxri1z5o1C6tWrQIAvPPOO1iyZAlOnz6Nnj17YvHixbjuuuu8fo6Gbu2y2+3IyspCfHw8YmNjz+t7odZRVlaG4uJi9OjRg5eciIjasabcmh0w88y0lIZeDJPJhOzsbKSlpUGlUvmpQmoKo9GInJwcpKenN2nyRCIialvaxTwzrYmXltoOvldERFQXwwwRERG1aQwz7VBOTg4kScK+ffsAVI9NkiSpwTu2JElyzq5c93giIqJAFrC3ZpP/pKSkoKCgAB06dPB3KURE1EoO5JSjuNKIPp1jkBij8uqy/pEiHXadqsQNA5KgCvbfTRkMM+RGLpcjMTHR32UQEVEr+nHvaWw7XAgAUEeE4IYR6Rg/uP5JZysMVqzbewZGqwNvaXJw85COSI7yz40ZvMxUixACVXqL3768vbHs+++/xyWXXILo6GjExsbimmuuwYkTJ3z2OtS+zORwONCpUycsXbrUZZ+9e/dCJpMhNzcXAFBZWYnbb78dcXFxiIyMxOWXX479+/f7rCYiImo5QggcOlXhfFyuNUEuq79nxmp34MPd+TBaq5ceqjBYsezXXBRpzS1eqyfsmalFY7Di1tc3+e353/nHaESFBTe6n16vx/z589G/f3/odDosWrQIU6ZMwb59+yCT+TafymQyTJ8+HWvWrME999zjbF+9ejVGjhzpnI35xhtvhEqlwnfffYeoqCgsW7YMV1xxBbKysqBWq31aExER+daZcgMq9a5BpE/nmHr3/+avYuRXmlzaeiWGIz688c+wlsAw0wbdcMMNLo/feecdxMXF4dChQ8jIyPD5882YMQMvv/wyTp06hc6dO8PhcGDt2rV4/PHHAQC//vorduzYgeLiYudSEi+99BI+//xzrFu3DnfeeafPayIiIt+p3SsDANFhSiSrQz3uuyevCjtzK13aOoQHY0p//y01w8tMbdCxY8cwffp0dOnSBZGRkUhLSwMAnDp1qkWeLzMzE71798aaNWsAAJs3b0ZxcTFuvPFGAMD+/fuh0+kQGxuL8PBw51d2drZPL38REVHL+KtOmOnTOcZjMCnUmPDlgUKXNoVcws1DOiJEwQHA1ASTJk1CamoqVqxYgeTkZDgcDmRkZMBisbTYc86YMQNr1qzBo48+ijVr1mD8+PHOJSB0Oh2SkpI8rpkVHR3dYjUREdH5qzteBgD6erjEZLTasWZXPqx21/Gdk/snIiHC+wWeWwLDTC2RoQq884/Rfn3+xpSVleHo0aNYsWIFLr30UgDVl3la2s0334zHH38cu3fvxrp16/D22287tw0aNAiFhYUICgpy9hIREVHbUFRpRJnWdfxL31TXMCOEwGf7ClCmt7q0D0uLRmanqBavsTEMM7VIkuTVAFx/iomJQWxsLJYvX46kpCScOnUKjz76aIs/b1paGkaMGIHbbrsNdrsd1157rXPb2LFjMXz4cEyePBn/+c9/0KNHD5w5cwbffPMNpkyZgiFDhrR4fURE1Dx1e2UiQ4PRKTbMpe23k+U4VKhzaesUHYKr+8S3eH3e4JiZNkYmk2Ht2rXYvXs3MjIy8OCDD+LFF19sleeeMWMG9u/fjylTprgszClJEr799ltcdtllmDNnDnr06IGbbroJubm5SEhIaJXaiIioedzGy6S4jpfJLjPgh8MlLvuEBsswfUhHBMkDI0Zw1ezsbK7A3IbwPSMi8q2739qKkiqj8/GtV/bCxKGdAQAakxX/25IDrdnu3C5JwMyLOqFHfHiL1sVVs4mIiKhRJVVGlyADABlnx8vYHQIf7znjEmQA4PIeHVo8yDQVwwwREdEFqu54mXCVAp3jqoPKhiMlyC5zDTrd48Iwpntsq9XnLYYZIiKiC1Td8TK9O0VDkiQcKtRi64lyl23RqiDcOCjJbxPjNYRhhoiI6ALlNr9Mqhplegs+3Vvg0i6XATcN7oiw4MC8CZphhoiI6AJUrjWjoMLg0tajYxTW7MqHyeZwaZ/YNwEpMSoEKoYZIiKiC9ChU66XkVTKIBwoNqBQ47rg5ICOkbgoNboVK2s6hhkiIqILUN3xMgnxkdh7WuPSFh8RjMl+XEDSWwwzREREF6Da42XskgRNnUgQHFS9gGRwUOBHhcCvkIiIiHyqSm/B6TI9AEAAMAcHIyzEdX3AGwYkIS7cvwtIeothpg0SQuDOO++EWq2GJEnYt2+fV8dJkoTPP/8cAJCTk9OkY4mIqP2oucRUE2QglyNUee5OpRFdYpCR3PCsu4GEYaYN+v7777Fq1Sp8/fXXKCgoQEZGRos8T1paGl577bUWOTcREflPzSUma1AQbHI5IlQK57iYzmoVxvcOjAUkvRWYN4xTg06cOIGkpCSMGDHC36V4xWKxIDg4sFcjJyK6kPx1qgJ2mQwWRfWlpXBV9X/DlHLcNCgZcllgD/itiz0ztQghoDPb/PblzZqfs2fPxv33349Tp05BkiSkpaUB8NyLkpmZiaeeeqpZr8Xo0aORm5uLBx98EJIkuYxk//XXX3HppZdCpVIhJSUFDzzwAPR6vXN7WloannnmGcycORORkZG48847sWrVKkRHR+Prr79Gz549ERoaiqlTp8JgMODdd99FWloaYmJi8MADD8But3sqiYiIfEBrtCCnVAdTrT8yq3tmgGmDkhGlUjRwdGBiz0wteosdS3487rfnX3hVN4QrG35LXn/9dXTt2hXLly/Hzp07IZfLW6SWzz77DAMGDMCdd96JO+64w9l+4sQJjB8/Hs8++yzeeecdlJSU4L777sN9992HlStXOvd76aWXsGjRIjz55JMAgK1bt8JgMOC///0v1q5dC61Wi+uvvx5TpkxBdHQ0vv32W5w8eRI33HADRo4ciWnTprXI90VEdKE7kFMBc3AwxNk/UmWShDBlEK7sGYeuHcL8XF3zMMy0MVFRUYiIiIBcLkdiYmKLPY9arYZcLkdERITL8yxZsgQzZszAvHnzAADdu3fHf//7X4waNQpLly5FSEgIAODyyy/HggULnMdt3boVVqsVS5cuRdeuXQEAU6dOxfvvv4+ioiKEh4ejT58+GDNmDDZu3MgwQ0TUQr4+WAi77NyFmbCQIPROjMBl3dR+rOr8MMxQk+zfvx9//vknVq9e7WwTQsDhcCA7Oxu9e/cGAAwZMsTt2NDQUGeQAYCEhASkpaUhPDzcpa24uLgFvwMiogvXgTMaHC52XcIgIVKJqZmBuYCktxhm2gmZTOY25sZqtfr8eXQ6He666y488MADbts6d+7s/P+wMPeuSoXC9TqsJEke2xwO1zVBiIjo/JXozPh4zxkYLTZnmyQE/paZBFVwywxZaC0MM7WEBcux8Kpufn3+5oqLi0NBwblVTjUaDbKzs8+rnuDgYLfBuIMGDcKhQ4fQrZv/XiciImoai82BNbvyUaEzo/afvSq7DcO7x/mtLl9hmKlFkqRGB+AGqssvvxyrVq3CpEmTEB0djUWLFp334OC0tDRs2bIFN910E5RKJTp06IBHHnkEF198Me677z7cfvvtCAsLw6FDh7Bhwwa8+eabPvpuiIjIV4QQWP9nAYq1FmiN53rsFTYbMpIiEKxo270ygJ9vzd6yZQsmTZqE5ORkl9lpPbn77rshSRIncavHwoULMWrUKFxzzTWYOHEiJk+e7DI+pTmefvpp5OTkoGvXroiLq07u/fv3x+bNm5GVlYVLL70UAwcOxKJFi5CcnOyLb4OIiHxse04l/szXAoAzzMgcDgRbreiTEuPP0nxGEt5MbtJCvvvuO/z2228YPHgwrr/+eqxfvx6TJ09222/9+vVYvHgxSkpK8PDDDzvvpPGGRqNBVFQUqqqqEBnpOjWzyWRCdnY20tPTnXfhUGDje0ZE5L28CiNWbMuF3QHYHQ7sO1kGCAGV2QyZEHhy+mD0T4/1d5keNfT5XZdfr6lMmDABEyZMaHCf/Px83H///fjhhx8wceLEVqqMiIjIN85UmbD3dBVM1qbd3FBcacTJQg2s9ubfFFFpscNqr+6zsNkFBIAQiwUyISCXydCzU3Szzx1IAnqAiMPhwC233IKHH34Yffv29eoYs9kMs9nsfKzRaFqqPCIiogZVGa1Y/luuM1B4q0JnxslCDXx96STYakXQ2TtGuyVHQtkOxssAAb6cwQsvvICgoCCPtwHXZ8mSJYiKinJ+paSktGCFRERE9TtRamhykKnUt0yQkdvtUNjO3Zbdt52MlwECOMzs3r0br7/+OlatWtWkiXwWLlyIqqoq51deXl4LVklERFQ/Q605XbxRZbDgRIHvg4xMCCgtFtR8mioVclw1qJOPn8V/AvYy09atW1FcXOwyEZvdbseCBQvw2muvIScnx+NxSqUSSqWySc/lxzHQ1ER8r4ioLTHWGScTFx6MngnhHvc9XaLD11mFCKozRiYtIQLRYU37XKstWC4hMUwBpby6/yJUGYQRvRMQF6Vq9jkDTcCGmVtuuQVjx451aRs3bhxuueUWzJkzxyfPUTP7rMFggErVft7U9sxgqJ6Gu+7MwUREgchkdZ14NC02FBP6xLvtd+hUBd77OhtBNrvLB/PlAzri3qv7tOmlBlqDX8OMTqfD8ePnVqnOzs7Gvn37oFar0blzZ8TGut4uplAokJiYiJ49e/rk+eVyOaKjo51rAYWGhvIHJkAJIWAwGFBcXIzo6OgWWy2ciMiX6vbMhCjcR3fkFmvx7Ed7YLG5Bp/LMpJwzwQGGW/4Nczs2rULY8aMcT6eP38+AGDWrFlYtWpVq9RQsyI0FzdsG6Kjo1t0tXAiIl/S1xkzo/Jw99B7vxyDuU4PzvBeCbhvYl/IZAwy3vBrmBk9enSTxkDUN07mfEiShKSkJMTHx7fIwozkOwqFgj0yRNRm2OwOnKowurRFq1w/dsu0Juw/WebSdlGPeMy7rh/k8oC9RyfgBOyYmdYml8v5QUlERD6TW26Exeb6B3vXDmEuj7f+VQhR694lpUKOf1ybgSAGmSbhq0VERNQCjhbrXB53jA5xW8x484ECl8fDeyUgJJj9DE3FMENERNQCjpXoXR73jHftlckp0uJUidalbXQ/LtrbHAwzREREPlZhsKJYa3Fp6xHvOr/MloOuvTKxESHISG0/s/K2JoYZIiIiHztd6TrwNyxYjk7RIS5tJwpd1w68tG8ib8NuJoYZIiIiHyvXu94dmxipdAsqdVfDjo/m5K3NxTBDRETkY2UG10tM6rBgt30cDtc7nWTslWk2hhkiIiIfq9szow51X4LFIRhmfIVhhoiIyMfK6/TMxHrsmXF9zNl+m49hhoiIyIdsdgc0JtdlDGK86plp0bLaNYYZIiIiH6owWlF3pZ7YMPcwU3cfOdNMszHMEBER+VDd8TJhSjmUQe7L5TjqXGeSGGaajWGGiIjIh9zuZPJwiQkA6tzMBAkMM83FMENERORDFW53MrkP/gU8jJnhJ3Kz8aUjIiLyIfc5ZurpmeE8Mz7DMENERORDGmOdO5lUngb/CuhMrj04Cjk/kpuLrxwREZEPGW12l8dhwe6Df0s1JhjMrqGnY2yY237kHYYZIiIiHzJZXe9SUircw0x2kdblcagyCHFRIW77kXcYZoiIiHxECAGzzTXMhAS5f9TmFLuGmfSESK6YfR4YZoiIiHzEYne4TYYX4qFnJqewbpiJaMmy2j2GGSIiIh+pe4kJ8NwzU/cyUxrDzHlhmCEiIvIRk809zCgVrh+1epMVxVVGlzb2zJwfhhkiIiIfMVld72QKDpLc5o/JqdMrI5fJ0KkD72Q6HwwzREREPlL3MpPK03iZYp3L45S4MARxjpnzwlePiIjIR+reyaT0OF5G4/I4LZ6XmM4XwwwREZGPGOtcZqp7J5PN7sCRvEqXNo6XOX8MM0RERD5SaXRdokBVZ/Dv6k3HUVBhcGljmDl/Qf4ugIiIqL3Iq3C9SykpsnpWX4PZhic+2Ok2+DdZHYbeKTGtVl97xZ4ZIiIiH3AIgdOVJpe2lBgVAODL7bke72J6cHI/yGSBO/OvEAI6nQ75+flwONxvOw8U7JkhIiLyAZPVAavddfrfpEglAOBEQZXb/rde2RNdEiNbpbamEkJAr9ejvLwcFosFAKDRaBAdHe3fwurBMENEROQDde9kAs7dml2uM7u0KxVyjBvUqVXqagpPIaZGRUUFIiMjIZMF3kUdhhkiIqImOlyoxa8nyqGznLt7yebhMoxCLkEI4XaJ6aHrBwTUwpJCCBgMBpSXl8NsNnvcx263B2zvDMMMERFRExRrzfhwdz7sjQwhCQ6SIEkSftxz2m1bTFhwC1XXNN6EmNoCtXfGr9Vs2bIFkyZNQnJyMiRJwueff+7cZrVa8cgjj6Bfv34ICwtDcnIyZs6ciTNnzvivYCIiuuBty65oNMgAQIQyCKdKdHjnp6Mu7RIkdIgKaaHqvFNzOen06dMoKCjwKsgEBQUhNjY2oHqUavg1zOj1egwYMABvvfWW2zaDwYA9e/bgiSeewJ49e/DZZ5/h6NGjuPbaa/1QKREREWC02LHvtPtgXk+Gp0XjlfV/wmpznUjv0oxERKj80zPT3BATHx+P1NRUREZGBmSYkYQQovHdWp4kSVi/fj0mT55c7z47d+7ERRddhNzcXHTu3Nmr82o0GkRFRaGqqgqRkYE5apyIiALbiRI9tudW4q8C17EvMgm4vn8ith0pQnaR1nn7slIuwWi0Iq/EdR2mXp2i8ewtQ1s9EAghYDQaUV5eDpPJ1PgBqA4xMTExfgswTfn8blNjZqqqqiBJUoODj8xms0vS1Gg09e5LRETUmEqjFau258Hh4U//vkkRyMotwy+7chs9T+e4CDw5fXCrBoO2GGKaI7BG8DTAZDLhkUcewfTp0xtMaEuWLEFUVJTzKyUlpRWrJCKi9uZokc5jkAGAYakx+H53XqPnCA6SY8GU/gj2sIp2S6gZ2Jufn48zZ854FWSCgoIQFxeH1NRUREVFtZkgA7SRMGO1WvG3v/0NQggsXbq0wX0XLlyIqqoq51deXuM/ZERERPWpO6tvjYzkCEh2GzQGi8ftNSRImDuxDzp1CGuJ8tw0NcTI5XJ06NABnTt3bnMhpkbAX2aqCTK5ubn45ZdfGr1uplQqoVQqW6k6IiJqz4QQOFaid2mLDg3CpIxEdI8Lw8Hccrdj5ozt6fx/uUxCr07RSG+FmX5rLicZjcbGd0Z1iKm5nBRot1o3VUCHmZogc+zYMWzcuBGxsbH+LomIiC4ghRoztCabS9vsYSmIC6/+o1lbZ5XsjrFhuOai1FarD7iwQ0wNv4YZnU6H48ePOx9nZ2dj3759UKvVSEpKwtSpU7Fnzx58/fXXsNvtKCwsBACo1WoEBwfGhENERNR+ZdXplYkJVaBDrQnvjp9xvU07XKVolboAhpja/Bpmdu3ahTFjxjgfz58/HwAwa9YsPPXUU/jyyy8BAJmZmS7Hbdy4EaNHj26tMomI6AJ1pMj11uoe8WHOMSUGsw1f7XC9iyk8pOXDjMlkQllZWZNCTHR0NKKiotpdiKnh1zAzevRoNDTNTYBMgUNERBegIo0Zp8pdA0OP+HDY7A58s/MUPt2W7XZMWnx4i9VjMplQXl4Og8Hg1f4XQoipEdBjZoiIiPxBb7Hhg52uayqFKGQID5Lw6KodyC7yPIdZS4yXaWqIkclkiImJuSBCTA2GGSIiolpOlOrxzu/u03p0UMrwj2W/eTxGLpPh0RszERnqu/GcDDHeY5ghIiKq5YfDJW5tEUo5ttQzy+9FPeJx02VdkRof4ZPnb06IiY6ORnR09AUXYmowzBAREZ1VZbQiv9YkeXaHAxqDFcePlMFmdV0wMiFahX9c2w89O0X75LnNZjPKy8uh1+sb3xnnQkxUVBTk8taZWThQMcwQEREBsNkdWL7tXO+LQwgcOV0JaA2Qn11Asrb/zLnYJ7diM8ScP4YZIiIiAPvyNag0nJsgT2uwwGq0IKROkFEEyfHq7cPPO8g0J8RERUUhOjqaIaYOhhkiIrrgCSHw6wnXpQlMVjuCLe7rLj0wKQNJ6tBmP5fZbEZFRQV0Ol3jO4MhxhsMM0REdME7WqxHic41uHSLUqKizk1NC6YMwIjeCc16DovFgvLycq9DjCRJzoG9DDENY5ghIqIL3q8nylweJ0QEI9ruuu7SZRlJzQoyDDEtj2GGiIguaL9klSK7zHWm3wHJEfjvur0ubcFBTQsWzQkxUVFRiImJYYhpIoYZIiK6YJXpLfj5aKnzsUMI6AxmvL5uL6Q6+wYHeTeHi8ViQUVFBbRarVf7M8ScP4YZIiK6YP101HWCvNxiLbTlOniaxzcmXNnguRhi/IdhhoiILkhCCBwuPHcJyGKzo0xrRpjN5rZvXJQKo/oleTyP1WpFeXl5k0NMdHQ0goL4MewLfBWJiKjdK9Nb8OORElQYrDhTpsepEh1MNgds4tw+erMNoSaTy+UluUyGf1yXgaHd4hCscO09aU6IiYyMRExMDEOMj/HVJCKidk0IgdU7T6NIa4HBbMWhvEqP+0lCQBLCpW3F/ZchKsz1opPVakVFRQU0Gs8rZ7udlyGmxfFVJSKidk1rtqFIWz2HTKnGXO9+khDOXpkguQyv3jHcJcgwxAQuvrpERNSufX+oBIBATrEOpRpTvfspao2VmXVFDySrwwCcCzFarRaiTs+NJwwxrY+vMhERtUtCCGw+Xob9+RqXICNzOJzBJSNVja6JkYgOCUKMKgiSJCEtPhzpiZGw2WzOnhhvQ0xERARiYmKgUJz/ApTkPYYZIiJql/bla7DhSCm0RotLj4zc4YDCbsfofsm475q+kCTXGWVsNhtKSkq8DjEAnD0xDDH+wTBDRETt0rq9BTBZbDiaX+XSXtMrc/eEPi5Bpqk9MQBDTKBgmCEionZnU1YJsos0KNO6DvhVmUyQCYHVD10OxdkZfRli2j6GGSIiajdsdge2HC/Dqz9mwWJzuGwLtlohFwKzx/ZESHAQbDYbKisrUVVV5XWIiYiIgFqtZogJMAwzRETUbqz/sxDf/lngFmSA6stL1w5Lw7jMZJSWljLEtCMMM0RE1C5sPl6GnTkVOFNucNsWbLXin9f3R7cOQcjLO9WkEBMTE4PgYE+rNVGgYJghIqI2a8OfZ/DhjtPQWeywCMBocV9XSWG14q0ZfWA16VFZ6V2ICQ8Ph1qtZohpIxhmiIioTTpTpsfLPx2HqHNrtZMQkBsMmHdFMixGned96mCIaZsYZoiIqE1a9NFez0FGCDiEgKyyCl3jQ5AWF9rouRhi2jaGGSIialOMVjv+32+5yDPXuWR0NsQIh4BktSAlOhhzr0pv8Fzh4eGIiYmBUqlswYqppTUpzDgcDmzevBlbt25Fbm4uDAYD4uLiMHDgQIwdOxYpKSktVScREREKKo14/MvDOF2mP9d4NsSEK+W4rFMwQuQSEsMj0TMpHEFyz5egwsLCoFarGWLaCUl4MaTbaDTi5ZdfxtKlS1FeXo7MzEwkJydDpVKhvLwcBw8exJkzZ3DVVVdh0aJFuPjii1ujdq9oNBpERUWhqqoKkZGR/i6HiIiaKadYi398fAAmq726oVZPDCAw/7J49IhtOJwwxLQdTfn89qpnpkePHhg+fDhWrFiBK6+80uN99rm5uVizZg1uuukm/Otf/8Idd9zRvOqJiIjq2HjgDF7YcHawrwAcwuEMMQDQOUxqMMgwxLRvXvXMHD58GL179/bqhFarFadOnULXrl3PuzhfYM8MEVHbtfngGSzbdBJlVuExxABAlM2Epyd3hVIhczueIabt8nnPjLdBBgAUCkXABBkiImqbjpyuxPqdp7DlZAUcksxjiAGAG3qG4uL0JLcgExoaCrVajZCQkFasmvzFPcY24vvvv8evv/7qfPzWW28hMzMTN998MyoqKpp0ri1btmDSpElITk6GJEn4/PPPXbYLIbBo0SIkJSVBpVJh7NixOHbsWFNLJiKiNuRkQRX+uXo3NmVXwQbAbrdDOByoHWQiQxVYfEUCruwTiwjVub/LQ0ND0alTJyQnJzPIXECaHGYefvhhaDQaAMCBAwewYMECXH311cjOzsb8+fObdC69Xo8BAwbgrbfe8rj9P//5D/773//i7bffxvbt2xEWFoZx48bBZDI1tWwiImoDrHYH7l+zD8agINgd7iEGAJKilPjHiA5IiDw3JwxDzIWtyfPMZGdno0+fPgCATz/9FNdccw2ef/557NmzB1dffXWTzjVhwgRMmDDB4zYhBF577TU8/vjjuO666wAA7733HhISEvD555/jpptuamrpREQUQMw2Oz7fX4ifDhaiQmeGEAJ6qx02IQAPwzlDguWY1i8aQzupECSrvuVapVIhNjaWAeYC1+QwExwcDIOhehGvn376CTNnzgQAqNVqZ4+NL2RnZ6OwsBBjx451tkVFRWHYsGH4/fff6w0zZrMZZrPZ+diXNRERkW/klumx5PtjyC7WAgIQwgFHPSFGESRDQmQwZmZGo3NU9d20KpUKarUaKpWqtUunANTkMHPJJZdg/vz5GDlyJHbs2IGPPvoIAJCVlYVOnTr5rLDCwkIAQEJCgkt7QkKCc5snS5YsweLFi31WBxER+daJEh3mf/QnTBZ7gyGmxnUZMRiTqoJcJjHEkEdNHjPz5ptvIigoCOvWrcPSpUvRsWNHAMB3332H8ePH+7zAplq4cCGqqqqcX3l5ef4uiYiIznr3lyzc+/5eGM1W2B12OByOeoNMkN2GJ0fHYWx6KMLDQtGxY0d07NiRQYbcNLlnpnPnzvj666/d2l999VWfFFQjMTERAFBUVISkpCRne1FRETIzM+s9TqlUcj4BIqIAs+9kKZb+dAzZWku9PTEygwETM+MglySEB0sY3DkcMZHVC0CGhja+WCRduJq10KTdbsf69etx+PBhANXz0EyePBlBQb5btzI9PR2JiYn4+eefneFFo9Fg+/btuOeee3z2PERE1DJOFGhwulSHE8VafLLrNKxyeb29MBfFyXBNvzTER1X/MRoSEuK8nCR5WhmbqJYmp4+//voLkyZNQlFREXr27AkAeOGFFxAXF4evvvoKGRkZXp9Lp9Ph+PHjzsfZ2dnYt28f1Go1OnfujHnz5uHZZ59F9+7dkZ6ejieeeALJycmYPHlyU8smIqJW9MUfOXj35yyYhYBZqQRksnoH9867KBpdE8IAMMRQ83i1nEFtw4cPR1xcHN59913ExMQAACoqKjB79myUlJRg27ZtXp9r06ZNGDNmjFv7rFmzsGrVKggh8OSTT2L58uWorKzEJZdcgv/973/o0aOH18/B5QyIiFqHEAJPf/4Xdp2qhNlmb3Rgb3K0Eg9f0gEqhYwhhtw05fO7yWFGpVJh165d6Nu3r0v7wYMHMXToUBiNxqZX3IIYZoiIWs6+vEp8vvs0KvUWZJcZYLQ2HmIkScKV3SMwoUcEosNVzjExDDFUm8/XZqqtR48eKCoqcgszxcXF6NatW1NPR0REbVCJxoSv/izAul35sDtEo7dYhwTLIQEIV8oxrX80BqdEMsSQz3gVZmpPPLdkyRI88MADeOqpp3DxxRcDAP744w88/fTTeOGFF1qmSiIiChjfHSjE/zadgMXqaDTESJKEjuoQRIcq0F2twKRe0YiNjWWIIZ/y6jKTTCZz+aGrOaSmrfZju93eEnU2Gy8zERGdH7tDYMOREmzPLseR05Uo11u9muxuYq9IDOqogjJIjqiwEHRO7MAQQ17z+WWmjRs3+qQwIiJqWxxCYNX2PBzMr8KhU5UNhxgh0DcuGCEKOYanhyMjQYXg4GCo1WqEhYUxxFCL8SrMjBo1qqXrICKiACKEgNZsw/r9hdh7qgJZpyvrDzEOBxJUEu68OA4d1dWz8zLEUGvyKsz8+eefXp+wf//+zS6GiIj8z2ix470deThVYcTxM1Uo05rqvZzUQWbDY1d3RqhSDoAhhvzDqzCTmZkJSZLQ2PCaQBwzQ0RE3rHaHfglqxRbjpfBaLbi6OlKmK3uv9NlJhNgs+HO0SnomxQKRZCMIYb8yqswk52d3dJ1EBGRH1lsDryxORslWiOMJjP+ytN43E+u0yE5IggPXt0DocFyBAcHIyYmBuHh4Qwx5DdehZnU1NSWroOIiPzAIQRsdgfe2Hgc+RV6mK12HC/Uu+8oBGQGA0akR2Da8I5QhVT3xDDEUCDwKsz88ccfzjllGmMwGJCdne02qR4REQUOk9WOj/ecweGCKpgtVpRqTSiqtMDucLjuKATkGg0gBB69thu6JEYyxFDAkXmz0y233IJx48bhk08+gV7vIbEDOHToEB577DF07doVu3fv9mmRRETkG0II7MqtwFPfHMa+3FLojSbklxtwptzkFmRkJhPkGg0kIbBkegaG9ElD586dERERwSBDAcWrnplDhw5h6dKlePzxx3HzzTejR48eSE5ORkhICCoqKnDkyBHodDpMmTIFP/74I/r169fSdRMRURM5HA6s252HP7LL4XA4IITA0TN6994YADKdDjKbDZIkwxt3jUDXlDgGGApYTV5octeuXfj111+Rm5sLo9GIDh06YODAgRgzZgzUanVL1dlsnAGYiC50QggYDAZ8sD0Xh4urFwO22R04UWyA1VYnyDgckOt0kAmgS1I0np01DDHhIX6omi50LbrQ5JAhQzBkyJBmF0dERC2vWGvGlwcKUVhpgNliQU6pAeU6C+xns4vNXueSkl4PyW6HJIBL+iThjqszEB+lYm8MtQlNDjNERBS4yvUWHDijwXd/FcJqtUJrtKJEY4bWaPO4v2Q2Q2Y2QyYAhUKBh28YiEv6JjLEUJvCMENE1A7ozDYUa81Y/msOrFYLzBYbNEYbzlSY6j1GptdDbrNDoVAgKCgIS2ZdhJ6doluvaCIfYZghImrjvjxQiG0nymC1WmCz2XGqzFhvT0wNud4ApSRDkCoYSepQPDdzKKLDlK1UMZFvMcwQEbUxVrsDPx0tRW6ZAWcqDdCbzKjUW1CmtUBn8hxi5Dpd9f9IEkb2iMN1w/tBggSlQo70hAgEK+St+B0Q+VaTw8x7772HadOmQal0TfAWiwVr167FzJkzfVYcERGdU6IzI7vMgO8OFcNotsFqtUBrtEJrtKFEY/Z4jMxkqh4XAyA9MQo3XtYDo/slc0wMtStNvjVbLpejoKAA8fHxLu1lZWWIj48PuIUmeWs2EbUHWcU6vLv9NOx2O6xWC+x2O0q1VhRWeh4TI9lskOn1kAGIClfhmmHpmDG6O0MMtRktemu2EMLjP4bTp08jKiqqqacjIqIG6Mw2rN2dj+PFurMhxgG92YbT5Sb3OWJw9nKSzQaZJCE8NAT/njMcXRIjGWKoXfM6zAwcOBCSJEGSJFxxxRUICjp3qN1uR3Z2NsaPH98iRRIRXWjyK43YmVuJP7LLYbVaUKYxQ2uyQQDQGKwu+8qMRkCI6t4YIdCrcywmj+iGvqlqdIjkhHfU/nkdZiZPngwA2LdvH8aNG4fw8HDntuDgYKSlpeGGG27weYFERBcKIQTyq0wo0pjx0e7TqNQZYbc5UGGwugUYZ3gxmyHZbJAkCV2SonHloFRcd3Eae2LoguJ1mHnyyScBAGlpaZg2bRpCQpj2iYh86eO9Z7AvrxJ6oxnHCrQeLyMBqJ7kzli9LIEkSQgKDsYtl/fE3y7t1prlEgWMJo+ZmTVrFoDqu5eKi4vhqLNAWefOnX1TGRFRO2d3CHzzVxEOFWhRabAgp0iDSr3FbamB2uQaDSSHA4AERbACHaLCsPTeSxASzJk26MLV5J/+Y8eO4dZbb8W2bdtc2msGBgfa3UxERIEmu8yAo8U6/JFdAZPFhtIqA/JKDR5Xr64hMxohWSyQBDCkewL6dYlHh0gVLu4VzyBDF7wm/wuYPXs2goKC8PXXXyMpKYnXZYmIvGCxOVCqtyC7zIBv/yqG3W6H1mBCSZUJ5TqLx2Mkh6P6ziSDAXGRSkTHRuPqYem4ekhqK1dPFNiaHGb27duH3bt3o1evXi1RDxFRu3OkSIe1u/NhtQs4HHZo9CacKNQ1fDlJp4NksyExOgSLZ49Ap8QOkMs5Sy+RJ00OM3369EFpaWlL1EJE1K7kVRjxS1Ypsor1cDjs0BvNyC8zoKrunUlnyQwGSHY74HDgxouSMKhHEjK6JCE4WNHKlRO1LV6FGY1G4/z/F154Af/85z/x/PPPo1+/flAoXP+RcZZdIrrQVRmtOFyow1cHi5whplJn9ryCtRCQWSzV42HsdmSkROL6EV0wrG9n9sQQecmrMBMdHe0yNkYIgSuuuMJlHw4AJqILnRAChRoz3tySA4fDDqvVCp3RguOFek87V4cYoxESgKjQYFx3cRdMG92bIYaoibwKMxs3bmzpOoiI2rQzVSas3nUa5ToLrFYLjGYrckuNMFlc/8CTLBbIDQbn484dQvHMjEHoEKtmiCFqJq/CzKhRo1q6DiKiNsfuEPjtZDlOVRjx1xkNrFYLKnRmVOqtHsfF1KybVE3Cozf0w7A+KVCFBLdu4UTtTJMHAP/5558e2yVJQkhICDp37gylUnnehQHVaz499dRT+OCDD1BYWIjk5GTMnj0bjz/+OG8JJyK/qjJa8f7O08ivMDp7Ysp1VpRozG77ysxm5+UkQMLYzGTMuKIPktThbvsSUdM1OcxkZmY2GCQUCgWmTZuGZcuWnfeSBy+88AKWLl2Kd999F3379sWuXbswZ84cREVF4YEHHjivcxMRNVd2mQHvbMuF0WyBzWaD3mxDTokRQgiX/SS7HTKdDpIQACT0S1PjiZsvQmQYl4Mh8qUmh5n169fjkUcewcMPP4yLLroIALBjxw68/PLLePLJJ2Gz2fDoo4/i8ccfx0svvXRexW3btg3XXXcdJk6cCKB6XagPP/wQO3bsOK/zEhE1RV6FEV/8WYhSvQUOhwOnS7UoqDDCZq8OL24hxuGATKt1hhhlcDDevu8yJMVG+KF6ovavyWHmueeew+uvv45x48Y52/r164dOnTrhiSeewI4dOxAWFoYFCxacd5gZMWIEli9fjqysLPTo0QP79+/Hr7/+ildeeaXeY8xmM8zmc928tW8rJyJqikKNCfvzNdhyvBxCOFCuMaCkylT/PDFmM2C3V99mDQnxMWGYPronLu6ViJhw31x+JyJ3TQ4zBw4cQGqq+1TaqampOHDgAIDqS1EFBQXnXdyjjz4KjUaDXr16QS6Xw26347nnnsOMGTPqPWbJkiVYvHjxeT83EV2Y7A6BIq0ZZXoL1u4+AyEcMBjNKNGYUFTpYZ6Ys2Q6HWQ2GwAJQUEK/O2y7pgxujvkclnrFU90gWpymOnVqxf+/e9/Y/ny5QgOrh6Bb7Va8e9//9u5xEF+fj4SEhLOu7iPP/4Yq1evxpo1a9C3b1/s27cP8+bNQ3JysnP17roWLlyI+fPnOx9rNBqkpKScdy1E1P5VGa34v22nUG6wQggHrFYrzpTpUVTlPqi3hmS1QqbXQzobYi7unYSFNw5kiCFqRU0OM2+99RauvfZadOrUCf379wdQ3Vtjt9vx9ddfAwBOnjyJe++997yLe/jhh/Hoo4/ipptuAlB9OSs3NxdLliypN8wolUqf3U1FRBeG3acqsT23EvmVJmeIKdOYUKwxu80TAyGqb7E++//9O4bjxmszERkVhaiwECTGqHi3JVEra3KYGTFiBLKzs7F69WpkZWUBAG688UbcfPPNiIioHtx2yy23+KQ4g8EAmcz1rxu5XA6Ho/7F2YiIGiOEwLESPQqqzDijMeHgGS2EcECjM6FSb4bV7kCZ1n0la5nRCMlsPjtjrwI3j+qKq4d1c1vWhYhaV5PDDABERETg7rvv9nUtbiZNmoTnnnsOnTt3Rt++fbF371688soruPXWW1v8uYmo/bHYHDBa7fj1RDm2ZVcAAGx2O8xmCyr1ZpwuM7ofJET1pSSDARKACJUCl/ZNxF1X94dSycnuiAKBJOreU+jBl19+iQkTJkChUODLL79scN9rr73WZ8VptVo88cQTWL9+PYqLi5GcnIzp06dj0aJFzvE6jdFoNIiKikJVVRUXwSS6gH1/qBi/nSyH4+xvPIfDgRMFVSjXmQFPvwYdDsidt1dXu/myLph+eR/2xBC1gqZ8fnsVZmQyGQoLCxEfH+922cflZAG40CTDDNGFy2Jz4JdjpfgzX4MqY/UyAkI4cKZMh9OlBgDuv/4kmw0ykwmw2VAz8qVLYhQenjoI6UnRrVY70YWuKZ/fXl1mqj1GheNViCjQWe0OZJcZsHpnPmyOmontHNDoTcgr1UNvsrnsL9ntgMMByWo9O0cMIJdJGNy1AzK7J2Hy8C6QyTiolyhQNWvMTA2TyXTeSxYQEfmS3SHwf9tO4fTZOWGq706yoahCjzMV7vPEyIzG6snuzpLLJFzaJxHzrh+IEN4ZSdQmNDnM2O12PP/883j77bdRVFSErKwsdOnSBU888QTS0tJw2223tUSdREQe7T1dhQ1HSqAx1VxGAnQmK3KKtDCYrdVLDQig9iUlmcEAyWqtHtx7tu2esWno3zUecR3UCA9Vtfr3QUTN1+RZnZ577jmsWrUK//nPf1wG4WZkZOD//u//fFocEVF9TFY7fjhcjHV7C1BltEGI6l6Zwgo9Dp0qh95ogXA4zg7urQ4yMqMRcq0WMosF0tkgM7yHGv++ZSAmjOyL9M4dGWSI2qAm98y89957WL58Oa644gqX27MHDBiAI0eO+LQ4IqIaNrsDBRqzcwzMu9vzYLE5YDDb4BACQgAnC6pgttpRd2CvZLVCZjJVj405KzE6BNddlIKJw3t4fXckEQWmJoeZ/Px8dOvWza3d4aieNZOIyNc0JitW/Fa9zEANi82Oo6crYbbaq8OM41wPjNPZ2XqlOndZXntRCm6f0J8hhqidaHKY6dOnD7Zu3eq22OS6deswcOBAnxVGRHSmyoTvDhXjZKnhbItAYYURZVoTjDU9MrVCjGSzQWY8O/GdEIDDgZgwBe4Z2wUAEBYWirSO8egQHd763wwRtZgmh5lFixZh1qxZyM/Ph8PhwGeffYajR4/ivffec67NRETUXDqzDQfPaKGz2LAxqwwAYHc4UK41o0xrgs5o9dgTIzMYnLdV15g6LAnDu6sRGxOJmJgYrttG1E55NWleXVu3bsXTTz+N/fv3Q6fTYdCgQVi0aBGuuuqqlqjxvHDSPKK2wWyzQ2Oy4b+bsp2z9AKA1WbHX6cqYLM7XEPM2V9dksNRHWTsdoQpq/8+U4crcP1FScjsGg+1Ws0QQ9QG+XwG4LaMYYYo8P2SVYqNWaUuIcbucOB4gQZag8U1xHhYZqBDRDDmT+yKSFV1mAkLC2OIIWrjfD4DcG2LFi3CmDFjMHz4cE6YR0TNIoTAtuwKHC3SocpkQ6nu3ArVpRojyrVmaAxWOITD5XKSXKdzWWZgVO9YDEiNRFpcKIKDZAwxRBeoJoeZ33//Ha+88gpsNhuGDh2KUaNGYfTo0Rg5ciRUKs7PQET1E0Igp9yIDUdKkFvuukK1yWrDmTIDyrVmlxAjWa2Q7HZIZrOzN2Zo12gMSI1EZmoUgOqemJiYGP6BRXSBatZlJpvNhu3bt2PLli3YvHkztm3bBrPZjKFDh+LXX39tiTqbjZeZiPxHCOFy6eiHw8X47WSFc1sNrdGKrDNVcDhqhRi7HTK9HlKt9eA6qVW4bUwK4iKre15CQ0OhVqsZYojaoRa9zAQAQUFBGDlyJOLi4qBWqxEREYHPP/+ck+YRkdP2nAr8dLQEBovr4rQWqx0nCjXQm88u9ijg0hMjMxqre2FqHSOXSXjomq5Iia3u/WWIIaLamhxmli9fjk2bNmHz5s0wm8249NJLMXr0aDz++OPo379/S9RIRG2IEAKbj5dhw5FSt20Wmx1/5paf3fFsiBECktkMmc1WfTmp1gR3fTtFYGBaFHomhyMmTMEQQ0QeNTnM3H333YiLi8OCBQtw7733Ijyck08RUfW6SPmVJvycVYLjJYY6WwWMZjv+yqtwDTFWK2RmM2R1Zg8PUcgxeWgiRvaIgSRJUKlUUKvVHJdHRB41Ocx89tln2LJlC9auXYsnn3wSAwcOxOjRozF69GhccsklCA0NbYk6iSiAmW12rNh2CgVVZo/bTxZqUa41Q4jquWIgBGQGA2QWi9u+w7vH4OaRHRliiMhr5zXPTFVVFbZu3YpPPvkEH374IWQyGUwmky/rO28cAEzUcnbkVuD37AoUa91DCQAUVxmRV6KDZLFA6PXnBv06HM4xMQuv644gefWjMKUc4SFBDDFE1PIDgMvKyrB582Zs2rQJmzZtwl9//YWYmBhceumlzSqYiNqOvAojsop1KNCYcbhQ57bdarOjTGuGxmBBld4MSa+HODugV6qz73PTeiEqVOF8zBBDRM3R5DDTr18/HD58GDExMbjssstwxx13YNSoURz8S9SO2R0C5QYLTpUb8dn+wnr3s9kd2J9dDiEcEDYbJKMRUp3xMADQu2MEpg1PdgaZkJAQqNVqXqYmomZp1gDgUaNGISMjoyXqIaIAc7rSiHe357ndYl1XUaUBp4q1EA4HZFotZLXuSqohl0m484pU9O0UAeBciFGpVJCkuv02RETeaXKYmTt3bkvUQUQBxmi148fDJdiRW9ngfjqTFadLtNBW6iGZTZBqLTdQ29Au0bhhWBLCQ4IYYojIp5o1ZoaI2q+ccgOKNGZ8eaCowf0sVjsqtEacOl0O2KyQLBaPIWZ49xj0SArHkC5RLmNiGGKIyFcYZogucEIIWO3VdxltPVGGX7LKGtobdoeA2WzF4RNFEDo9ZPXsmRYXitmjUtAhIhhKpdI5JoYhhoh8jWGG6AJ2vESPdfsKoDXZGt23XGvC6cIqWMsrIYTD491JNSZkxmPiwASGGCJqFQwzRBcQIQS251Qiu9wAIYC/CrQN7m+22lFUaYDRbIO2qBywWhoMMQCwYGJX9OwUjdjYWIYYImoVzQozlZWV2LFjB4qLi+FwuN7hMHPmTJ8URkS+IYRAgcaMKqMVv50sR3aZsdFjzFY7DGYbTpwuh7Baq2+xdjR8N9OYPh1w/cUpSE6MY4gholbV5DDz1VdfYcaMGdDpdIiMjHT5hSVJEsMMUYD55q9i/J5d4fX+ZRojsgs1gMEIyWRssBcGALonhuG+Cd3RMTEOYWFhDDFE1OqaHGYWLFiAW2+9Fc8//zwnuCIKQDa7A1//VYwjhVpoze5zvXhittpRVKqFtUKLSp0RcNgbDDEXd4/BhMx4hKuUSO2YwBBDRH7V5DCTn5+PBx54gEGGKIBY7Q7sPlWFMr0F23MrYG/4ipBTekwICkp12HfkDOwGIyCqD6wvlkwcmICO6hAM7hqL2NhYhhgiCghNDjPjxo3Drl270KVLl5aoh4i8ZLTaUWGoXipg7e58lOndlw3wRB2qgASBRJUcH/10CFar1W3sW21hyiB0TwrD3y5ORoeoUKjVaoYYIgooXoWZL7/80vn/EydOxMMPP4xDhw6hX79+UCgULvtee+21vq2QiNzsyavC+v0FcDRhzXtJAqZmJmHr3jz8tDcPVqulwRADAOP6x2PS4AQoFAqo1WqEh4czxBBRwJGEEI3+OpTJ6psWq87JJAl2D+ux+FNTlhAnClR2h8CGoyU4WWqA3SFQqDF7fey1/RIgFwI/7MzFzqOFsFgaDzH/mNAF6nAFEmPCGGKIyC+a8vntVc9MY7/4WlJ+fj4eeeQRfPfddzAYDOjWrRtWrlyJIUOG+K0motZgtTtwpEiHKqMNW06UQe/lYF4AGNw5CsogGTKSImDUm/HIyu1e9cSMHxCPS3upnZeTGGKIqC1o8piZ9957D9OmTYNSqXRpt1gsWLt2rU9vza6oqMDIkSMxZswYfPfdd4iLi8OxY8cQExPjs+cg8jeL3QGb3b2D9N3teThdafLqHDKp+jJSpDII43p1QFpsKIQAvt+ZjVU/HWkwxAQHydCnUwT+fklHRISGMMQQUZvj1WWm2uRyOQoKChAfH+/SXlZWhvj4eJ9eZnr00Ufx22+/YevWrc0+By8zUaCy2R1Yt68ABwu0aNq/Qldje3bA4E6ReGHdPhw5XQkhALvd7lVPzM0jO2JEDzUUCgViYmIQERHBEENEAcHnl5lqE0J4/GV3+vRpREVFNfV0Dfryyy8xbtw43Hjjjdi8eTM6duyIe++9F3fccUe9x5jNZpjN58YTaDQan9ZE5AuFGhOW/ZYLi615KebyHrGIC1eiQ3gwQoMkzHltU5NCzOxRKeikVqFTh+oxMQwxRNSWeR1mBg4cCEmSIEkSrrjiCgQFnTvUbrcjOzsb48eP92lxJ0+exNKlSzF//nw89thj2LlzJx544AEEBwdj1qxZHo9ZsmQJFi9e7NM6iHzFZLXjRKkBa3blN/nY7nFhUCpkGJwShR7x4QAAo9mGGS/94nWI6ZEUjtmjUqCOCGGIIaJ2w+vLTDUBYfHixViwYAHCw8Od24KDg5GWloYbbrgBwcHBPisuODgYQ4YMwbZt25xtDzzwAHbu3Inff//d4zGeemZSUlJ4mYn8Tm+xYenWXOfcMN4KU8oxfXBHpMe6TlSpMVhw71tbUK4xwOFo+PKuXCZhdJ8OuHF4J8TExLgtRUJEFGha5DLTk08+CbvdjrS0NFx11VVISko670Ibk5SUhD59+ri09e7dG59++mm9xyiVSrfByUT+dKbKhPX7C3CmquHbqedcnILESPef3bBguUvwEEIgr6gCd7/1a70hZv7VXdCh1rnCVcFIiItliCGidqlJY2bkcjnuuusuHD58uKXqcTFy5EgcPXrUpS0rKwupqamt8vxE56tYa8ZbW3Ia3W/emHTEhTccwoUQMBqNyDldhPnv7qt3v6em9kSHiOoe0qCgIPbEEFG71+QBwBkZGTh58iTS09Nboh4XDz74IEaMGIHnn38ef/vb37Bjxw4sX74cy5cvb/HnJjpf5XoLXt+U3eA+QztHYULfeCiD5PXuUxNiSkvLkF1YhSVfHKt338U39kRseDDkcjnUajVDDBFdEJp8a/b333+PhQsX4plnnsHgwYMRFhbmst3X41K+/vprLFy4EMeOHUN6ejrmz5/f4N1MdfHWbPKHnDIDVmw7Ve/2hIhg3D4iFaHB9YcYADAajSgvL0dZpQ7//T4bp8uN9e773LReUEeEOHtivJ25m4goEDXl87vJYab2L8i61/G5nAERkF1mwP/VE2TCguW4bURnxIUHQ9ZAj0lNiDEaq8PLf746jlOl9QeZ12f3d46JYYghovagReeZ2bhxY7MLI2rPTlcakVWsx89HS+vd56EruiI4qP6wUTfEmKx2fLmrqN4gI0kS3rhzOLp0imOIIaILVpPDzKhRo1qiDqI2SwiBnacq8cWfRfXuE60Kwt2XpNUbZOqGmJrzPv/5cZTrLG77S5KEjLQOeHBKJpJjw922ExFdSLwKM3/++ScyMjIgk8nw559/Nrhv//79fVIYUVtwutKID3bmQ2uy1btP78RwzBjS0eNAXJPJhPLychgMBpf2ggoTnvvcfaCvJEkIUijwxt2XIi2Bl02JiAAvw0xmZiYKCwsRHx+PzMxMSJIET0NtAnHMDFFLMFjs+DmrFH9kVzS4X3xEMKYPdg8y9YUYoLpHpm6QqQkxiiAF5lzZk0GGiKgWr8JMdnY24uLinP9PdCEp1VmQX2WEo1Z+X7e3oNHjxvSIxahusZDLzgWZ+kKMEAIniw0o01rwW1btgCRBEVwdYiQJuPfqvrh8QPL5fktERO2KV2Gm9iR1nLCOLiSHC7VYvSu/SataD+gYiRsyk7wKMTU+/qMAW4+U1WqRoFAooFBUhxgAeOnWi5GeyB4ZIqK6mjwAuKysDLGxsQCAvLw8rFixAkajEddeey0uvfRSnxdI5A+bj5Xh9+xyaM3eXzaNjwjGvZemQSE/N8jXbDajvLwcer2+3uO+3lNUK8i4hxgAWPPwFVAqGp6ThojoQuV1mDlw4AAmTZqEvLw8dO/eHWvXrsX48eOh1+shk8nw6quvYt26dZg8eXILlkvUcsr0Fuw8VYnDhTqUeriDqCHTBiWjV0K4M8h4E2KOFerx458lOJyvxbkQE+Q2vmbxjCEMMkREDfB60rwJEyYgKCgIjz76KN5//318/fXXGDduHFasWAEAuP/++7F792788ccfLVpwU3HSPKqPEAJFWjOMVgesdgfe3X7aq+OSos6toRSjUuDKXnGIj6hu8ybECCGw/XglPvj1NOoLMWkJEQhTKnDlwI64tG/LL+pKRBRoWmQG4A4dOuCXX35B//79odPpEBkZiZ07d2Lw4MEAgCNHjuDiiy9GZWXleX8DvsQwQ544hMC72/NwvMTzGBZP+iZFYNqgZJexMDW8CTEAYHcIvPVjDrIK9FAogs5eTnI934IpAzCid4LXdRERtUctMgNweXk5EhMTAQDh4eEICwtDTEyMc3tMTAy0Wm0zSyZqeRabA18dLEJOmQHlBqvXx91yUSckRSoRpVK4n9NiQXl5OXQ6XYPnOFlswBe7CnGiyACFIgihoSqP887cdFk3BhkioiZq0gDgur98uRovtRUWmwOLv8tq0jFje3ZARnIE4sKVbtu8DTEAUKG34pVvTjYYYmIjQjDnyp64uGd8k2okIqImhpnZs2dDqaz+xW4ymXD33Xc7V802m82+r46oGbQmG6x2h0vb8t9yGz0uLFgOSEDnGBUm909EuNL9n4e3IUZvsp0diyPwn6+z6w0xAHDtsDT8fXQ3yOVcW4mIqDm8DjOzZs1yefz3v//dbZ+ZM2eef0VEzWSxObBqex5yy+tfXdqTEIUMtw3vjOSokPrPbbGgoqKi0UupQgis/i0ffxyrdI6JCQ4O9vy8wUFYfPNgdEuOalK9RETkyusws3Llypasg+i8FGvNeH2T97NTJ0UpMbZnHOQyCR2jQhAa7PnWZ29DTI3sEiN25+ga7ImJi1LhrvG90S05EhEqz0GHiIi81+RJ84gCjc5sa1KQAYC5l6Y1OObLarWivLzc6xAjSRKioqLwxY8F9fbE1Hjz7pEI4iUlIiKfYZihNs1ss2PJj8e93j9aFYQbMpPqDTLNDTHR0dEICgpCYWX9l7i6JkXioSkDGGSIiHyMYYbaJI3JirW7z9Q7PqZzTAjmDO+MupElSCZ5DDJWqxUVFRXQaDRePb8kSYiMjERMTAyCgqr/GW3Y6z7pXv+0WCy8sXqleUUQQwwRUUtgmKE2aWNWWb1BJiM5An8b6Hlyu7p8EWKEEPhyey7e+8X91u8rB3ZCMJciICJqUQwz1OYIIfDnGc/hIyIkCDcNSm50DiRfhJgaq37Kwtc7Pd/63S8txmM7ERH5DsMMtSnlBgs+3nMGJqvDbVvH6BDMGZbSYJCx2WzOMTHerOTRUIgBgE+3ZdcbZGaM7s67lYiIWgHDDAW805VGfPNXMcp0Fugtdo/7XNsvARelRtcbZGw2m7MnxtsQExERgZiYGCgU7ssYAMCOrGKs2XTM47apI7vg+hHpjT4PERGdP4YZCmjlBguWbm149l5JAnonhnsMMk0NMQCcPTH1hRgAKNWY8MK6fR633Ty6O64fnubVcxER0fljmKGAZbTY8fLPJxvcJylKicu6xiIyxDV4tFSIAQCHQ+CuN7d43HbX+D64alAnr56PiIh8g2GGApLN7sCzP3i+hAMAAzpG4rr+CVAGud4p1JwQExERAbVa3WiIAQCL1Y4739zqcdsDkzIwql+yV89JRES+wzBDASmrRO+xXSGXMP/yLh57YiorK1FVVdUiIabG//14BFqjxa19SLc4BhkiIj9hmKGAU2Gw4ofDJR63Lbyqm0tvjN1uR0VFRZNDTExMTKPLDtSmN1nx8/58/Lw/3+P2h64f4PW5iIjItxhmKKAUa8347+ZseMolj1zZ1RlkWivEANWXlh5ZuR0FFQaP29+4eyRn9yUi8iOGGQoYhwu1+GCn556PEV1iEBmigN1uR2VlJSorK70OMeHh4VCr1U0OMTXe++VYvUHmlduHI1kd1qzzEhGRbzDMUECw2h1Y/2dhvdvTY0JQVlbWqiEGqJ5t+Lvdpzxuu3xAR6TGRzT73ERE5BsMM+RXJqsdeZUmFGnM0JvdJ8QTQuDKLmEIMZWhwuA+668nvggxNbLyqzy2Tx3ZBTde0uW8z09EROePYYb8ptJoxbJfc6Ex2dy2CSGQEiHDFSkKyGCBw4scEx4ejpiYGCiVSp/Ut+9kKZ5Zu8et/aVbL0Z6YqRPnoOIiM4fwwz5zZ68KrcgI4SAzWZFaoSEK1NUABq/pBQWFga1Wu2zEAMAvx4qxKuf/+lxG4MMEVFgaVO3YPz73/+GJEmYN2+ev0uh81CkNePnoyX4+Wips00IAavVAqPRAIvFiowOjc/9EhYWhpSUFCQlJfk0yJRpTfUGmUv6JPnseYiIyDfaTM/Mzp07sWzZMvTv39/fpZCX7A6BUp0F9loDdisMVqzZVfuOJQGr1Qqr1YqQIAlRKjn6dFCgY0T9P5ot0RMDAGarHWfK9HjonT88bu+fFos7xvXy6XMSEdH5axNhRqfTYcaMGVixYgWeffZZf5dDXijVWfDOH6dQZXQfD1PtXIipyTpXpqnQOar+HpnQ0FCo1WqEhIT4vN49J0rxn0/3w2rzvCr3lOHp+PuY7j5/XiIiOn9t4jLT3LlzMXHiRIwdO7bRfc1mMzQajcsXtb7fcyrqCTLVl5MMhurLSTVBJkwhIbme3pjQ0FB06tQJycnJLRJkhBB47qM99QaZ/mmxDDJERAEs4Htm1q5diz179mDnzp1e7b9kyRIsXry4hauixpTr665f5N4TAwBJ4XIkRwShb4dgBMkklyNasiemtj+OFje4/fFpA1v0+YmI6PwEdJjJy8vDP/7xD2zYsMHrD7SFCxdi/vz5zscajQYpKSktVSLVw2St6eWoDjE2mw0SBGQSAAkIU8gwJFGJPnHuc8G0Voip8dJn+z22d4wNwx3jekMubxMdmEREF6yADjO7d+9GcXExBg0a5Gyz2+3YsmUL3nzzTZjNZsjlcpdjlEqlzweGUtMZrXZYrRZYrTYIITCuiwrd1Q1PYqdSqaBWq6FSqVqpSqCg3PMyBZ8+dlWr1UBEROcnoMPMFVdcgQMHDri0zZkzB7169cIjjzziFmTI/xwOBzQaDUoqNLBYzs10FyyX6j3GHyGmxn1v/+rWdu/VfVu9DiIiar6ADjMRERHIyMhwaQsLC0NsbKxbO/lXTYipqKhAldEKvcV1yt4whfulGn+GGADIyq/02D66H+eSISJqSwI6zFDgqx1i7PbqcTJntK53MSmDJKhV58KMv0NMjec/3ufWdveEPhwjQ0TUxrS5MLNp0yZ/l0Covp25JsTYbOfCi90hsK/Y9U6mpDA5ZJKEkJAQqNVqhIaGtna5HmmNde+4Aq4c2MkPlRAR0floc2GG/Ku+EAMAZpvAdycNKNa7ztfSPS4UycnJUKlUkKT6x860JpPFfQ6cKcPT/VAJERGdL4YZ8kpDIaZm+3cnDTitObdNLpchISoUV2Z2QXBQYA3WPpRX6dY2ZXhaq9dBRETnj2GGGtRYiKlxqNTqDDJyuQwKRTCUiiD8bUhKwAUZAPh5f75bW1hI44tbEhFR4GGYIY+EENBqtSgvL28wxACA3uLAtnwTZDIZgoMVkMvlCFMGYeZFndAp2r+DfD3Rm6z440iRv8sgIiIfYZghF00JMQCgMTvwwV96BAcHQyWXA6geEzM1Mykgg4zRbMMdb2xxa89IVfuhGiIi8gWGGQJwLsRUVFTAarV6dYwFQVh3XA+VKgQ1IQYAMjtFokd8eAtV2nxCCCx8dwfMVvcFJWde3sMPFRERkS8wzFzgmhNilEol1Go19hSYIMlMLtvCguW4um98S5R6XoQQ+OfK7cgr1bltS4hWoWtSpB+qIiIiX2CYuUAJIaDT6VBeXu51iAkODoZarUZYWBgkSUKhtsptn2syEhAWHFg/Vja7Awv+73ecLtN73P7fu0a2ckVERORLgfWpQy3OFyGmRpHG7LJfeqwK/TsGXg/Hx1tP1Btklt57KYI44y8RUZvGMHOBqAkxFRUVsFjcZ771pL4QA1TP9Fuscw0zV/SM81m9vnTwVIXH9lfvGIH4ABykTERETcMw084JIaDX61FeXu6TEFNzzkOFWthd15JEQoTSFyX7jN3uwDs/HcXR05Vu2z58+AoEKwJv/hsiImo6hpl2qjkhRqFQQK1WIzw83GOIMVnt2Htag+05FSjRuZ4zShWE0ODACgdfbM/F97vz3NrvntCHQYaIqB1hmGlnmhNi7JIcVkU4ZKGhKLVIKC03um53VPfE7D1dBYtNeDxHIM0pozVasD+7HKs3HfO4PSUu8G4bJyKi5mOYaSea2xNT7lBh/aFy2B1mAGXNeu5wpRyju8c261hf+2nfaSz77jAcwnPoGt4rAT2So1q5KiIiakkMM22cEAIGgwHl5eUwm82NH4DqEBMTE4OIiAj8uO2U29gXb8WFB2NYWgwGdopESABctinTmrD020P1bn9gUgZG9UtuxYqIiKg1MMy0UecbYmrGxGhMjS9ZUJskAb0TwnFxWgy6dAj1OLbGX/775cF6t913DYMMEVF7xTDTxjQnxAQFBUGtVruEmBr2OpdjQoJkkMvcA4oqWI6MpAgMTY1GtCowV5c+mFvu1pYaH4EbL+mC4b0S/FARERG1BoaZNsLXIaaGzeEaZm4e2hFdO4Sdd72tzebhWtm1w9Iw6wquuURE1N4xzAQ4IQSMRiPKy8thMpkaPwDVISYmJgaRkZGNXgay1wkznnpl2oKdx0rc2kb3S/JDJURE1NoYZgJUS4eYGm5hJoDGwDRFld79Dq7OvAWbiOiCwDATYForxNRoLz0z72w46tYWSIOTiYio5TDMBJCaMTHehhi5XA61Wt2sEANUB6c6WQZBbTTM2B2uY2YGdwvMdaKIiMj3GGYCQE1PjNFobHxnVIeYmp4Ymaz5Kz7X7ZUB2mbPjKfBv7EBtk4UERG1HIYZP/JXiKlR97ZsoG2Gmf/78Yhb2/jBKX6ohIiI/IFhxg/8HWJqeJr5t60NAD50qgIb9p52a1cF80ebiOhCwd/4rag5ISY6OhpRUVE+DTE1bA73NNOWembyy/R44oOdbu3pCZGIiwrxQ0VEROQPDDOtwGQyoby8HAaDwav9WzrE1PDUM9OWBgC/9c1fHtsXzxjMO5mIiC4gDDMtqKkhRiaTISYmpsVDTI22PgD4ZKHWre3Nuy9BWEhgLrdAREQtg2GmBVgsFpSWlgZsiKnhaQBwW8kyBrMNVpvdpW1o9zgkqUP9VBEREfkLw0wLkCTJq3ExMpkM0dHRiI6ObtUQU8N9wrzAn2hOCIF1v2Vj7ZbjbttmjOnuh4qIiMjfGGZagEKhQEREBDQajcft/g4xNdra7L9/5ZZjxY9HkFei87g9IUrVyhUREVEgYJhpIWq1GlqtFqLWpZyaEBMVFQW5XO7H6qrVXTE7kG/LXv97Nj7YeKze7YkxoQhW+P81JSKi1ue/bgEvLVmyBEOHDkVERATi4+MxefJkHD3qvg5PoAkKCkJkZCSA6hCjVquRmpoKtVodEEEGALQmm8vjQL2TSQjRYJAJVynwr2kDW7EiIiIKJAEfZjZv3oy5c+fijz/+wIYNG2C1WnHVVVdBr9f7u7RGxcTEICYmJuBCTI3DRa53AyVEBuYSAM9/vLfebZMvTsNrd4xAsjqsFSsiIqJAEvCXmb7//nuXx6tWrUJ8fDx2796Nyy67zE9VeScoKAixsbH+LsMjq92BI0WuY0/6JEb4qRrPLFY7vt2dhz0nSt22DUiPxZUDO2F4rwQ/VEZERIEk4MNMXVVVVQCqx6RQ8x0v0cNiOzdmRpKAvkmBE2ZMFhsee28ncovd55IZ3isBD10/wA9VERFRIGpTYcbhcGDevHkYOXIkMjIyPO5jNpthNpudj+u7o+hCd7DANSSkqVUIVwbOj8OeE2UegwwAPHhdv1auhoiIAlnAj5mpbe7cuTh48CDWrl1b7z5LlixBVFSU8yslhasn12WzO3Ck0PUSU9+kSD9V49npMs+3X992VS/I5W3qx5aIiFpYm/lUuO+++/D1119j48aN6NSpU737LVy4EFVVVc6vvLy8VqyybTheaoDJ5rowU9+kcD9V49lHW064tU0d2QXjBzGcEhGRq8C5rlAPIQTuv/9+rF+/Hps2bUJ6enqD+yuVSiiVgXlXTqD4q84lps5qFSIDaD0jg9nm1jZ+cAqmj+rmh2qIiCjQBXyYmTt3LtasWYMvvvgCERERKCwsBABERUVBpeKMr01ldwgcqrNAY0YADfw9croSL6//0619SLc4P1RDRERtQcBfZlq6dCmqqqowevRoJCUlOb8++ugjf5fWJp0o1cNkrXuJKTDCTH6ZHovX7Ea51uS2bWDXDn6oiIiI2oKA75kRHlZ2puare4kpJSYE0Sr/XWISQkBnsgIAXvrsT1jqrIQNAD07RbdyVURE1JYEfJgh3wm0S0wHcsrxyud/QmOw1LuPBAmTLkptxaqIiKitYZi5gOSUGWCwuF5i6uOnMPPb4UK84mFsTG13je+DjLQYLlVAREQNYpi5gNSdKK9jdAjUocGtWoPV5sC6305i3W8nG9wvNiIEVw7sCCmAV/ImIqLAwDBzgXAIgb/qXGJq7YG/Qggs/nA3DudVNLhfWIgCt4/rxSBDREReYZi5QOSWG6E3uw6u7dvKC0seza+qN8gM6RaHeyb2AQBEqoIhkzHIEBGRdxhmLhB1LzElRSrRIbzlLzHZ7A5s2Hsap0p02HywwOM+U0d2wbRLuzLAEBFRszDMXACEEG63ZLfWJaZl3x/GL/vz691+79V9cUVmx1aphYiI2qeAnzSPzt+pCiO0JtclAjKSWz7MnCnXNxhkpgxPZ5AhIqLzxjBzAah7iSk+Ihhx4S27fpUQAve//Vu922UyCZf2TWzRGoiI6MLAy0ztnKdLTK0xUd6GvZ57ZC4f0BERIQoM752A1PjAWEaBiIjaNoaZdu50pQlVxjqXmJIiW/x5f9ib59Y2f0p/jOzN3hgiIvIthpl2ru4lpg7hwYiPOP+7mGrWVCquNKGw0oDiSiOKKo0oqjCiuMqIwgqDy/5ThqczyBARUYtgmGnHhBA4WKBxactIivB6Mrq8Uh1+2H0ap8t0tc6JsyHGCIPZ1sDRrm4e1c3rfYmIiJqCYaYdO1NlQqXBNXA0dku2yWJDUaUR+7PLsGbzCVg9rGLdVNcNS+McMkRE1GIYZtqx46Wul3rUoQp0CFXgTLkexZVGFFeanJeEiquqH2uN9a9g3Rz902Jx4yVdfHpOIiKi2hhm2rHcsnNhxuFwIPt0BW5+8SQEhM+eQ4KEDlEhSIhWIT5ahYRoFRKd/x+KqLDWXciSiIguPAwz7ZRDCORWGJ2P80r10JZqENSMIHPlwE7oFBvmfBwcJEdCjArxUSrERYUgSM7pioiIyH8YZtqpQo0ZJqsDAGC22lGqMUFl9378S0y4EqnxEbh2WCoGpMe2VJlERETnjWGmncopP3eJKb9MD8nhcJnuOVQZhPhoFRKjQ52Xh+Kjq3tb4qNCEKyQt37RREREzcAw007lllVfYjKabSjXmaFwOJzbrh2WhllX9PBXaURERD7FwQ7tkBAC2Wd7ZvLL9AAA2dkwowoOwvUj0vxVGhERkc8xzLRDpXoL9GY7qvRmVBqqb7WWnw0z112chggV7zAiIqL2g5eZ2qFfj5YgK78SGqMVACAJAUkIRIYGY9JFnf1cHRERkW8xzLQj5Voz/vftX/g9TwOb/NwAXrndDgnA1JFdEBLMt5yIiNoXfrK1A0IInKkyYfGnf+JUlRlC7nonktzhQFyUClcN7OSnComIiFoOw0wbpjFZsf+0BntOVyG/0ohcjQXwsIhkcmQI/jmlHxRBHCJFRETtD8NMG1Fzi3WJxoS/zmhwsFCHMxozLDYHrHYHLFbXCfFkkoSOsaG4uEssbh+Z6qeqiYiIWh7DjB8JIWC02FGhM6Nca0alvvq/FTozynXV/63QmlGmM8NoF7DJ5bDJ5RAeel/qSo4Mxj2juiCzU1QrfCdERET+wzDTgux2B44VaFBcaawOJ9rqkFI7tJit9S8x4JCkswEmCA4vLhHJHA4E2e0Isttx0+h0DO4c7cPvhoiIKDAxzLQAg9mGn/fn45udp1BSZWz8gFoE4OyBscsbX1JAEsIZYGQOByQAA7t0wJj+yc0rnoiIqI1hmPGh4kojvt11Chv25cNksXl9nADgkMm8uowklyQEB8kQrZSjU2QwuqhD0SFSCXW4EjHhSsRFVa+xREREdKFgmPGBrPxKfLk9F38cKYaA8Pq4c5eR5JCC5AiWyxASJENwkAwKuQyKoOqvYLkMiiA5EiKVGJoajcxOUYhWKVrwOyIiImo7GGaayW53YHtWCb7emYujpysb3DcxJhRxUSGICVciMjQYBgEUG+2oNNmgCJJDESSDrJ7emBCFDP2SIzGwUyQ6x6ggeTH4l4iI6ELSJsLMW2+9hRdffBGFhYUYMGAA3njjDVx00UV+qcVqc+D7PXmNjoeRIGFYz3hMGpaKnh2jUGGw4qejpThUqIXVLgBJhvB61kiSJKB7XBgGdopC78RwKOScH4aIiKg+AR9mPvroI8yfPx9vv/02hg0bhtdeew3jxo3D0aNHER8f3+r1yCTgq+25KNOaPG5XKuQYm9kRVw/pjMSYUGe7XCbhzzMaiAauQsVHBGNQpygM6BSJyBBeRiIiIvKGJERDH6/+N2zYMAwdOhRvvvkmAMDhcCAlJQX3338/Hn300UaP12g0iIqKQlVVFSIjI31S0xd/5OC9X7Jc2mIjQjBxaGeMzeyIsHqCyMo/TuF4icGlLTRYhv4dozCwUyQ6RoXwMhIRERGa9vkd0D0zFosFu3fvxsKFC51tMpkMY8eOxe+//+63usZmdsRHW0/AbLWja1Ikrr0oFRf3SkBQI5eDBqVE4XiJATIJ6JkQjoGdotAzPqzR44iIiKh+AR1mSktLYbfbkZCQ4NKekJCAI0eOeDzGbDbDbDY7H2s0Gp/XFRaiwB3jeiNJHYqeHaO87k3pnRiBiX3t6N8xEuHKgH7piYiI2ox21yWwZMkSREVFOb9SUlJa5HnG9E9Gr07RTbosFCyXYUQXNYMMERGRDwV0mOnQoQPkcjmKiopc2ouKipCYmOjxmIULF6Kqqsr5lZeX1xqlEhERkZ8EdJgJDg7G4MGD8fPPPzvbHA4Hfv75ZwwfPtzjMUqlEpGRkS5fRERE1H4F/PWO+fPnY9asWRgyZAguuugivPbaa9Dr9ZgzZ46/SyMiIqIAEPBhZtq0aSgpKcGiRYtQWFiIzMxMfP/9926DgomIiOjCFPDzzJyvlphnhoiIiFpWUz6/A3rMDBEREVFjGGaIiIioTWOYISIiojaNYYaIiIjaNIYZIiIiatMYZoiIiKhNY5ghIiKiNi3gJ807XzXT6LTE6tlERETUMmo+t72ZDq/dhxmtVgsALbZ6NhEREbUcrVaLqKioBvdp9zMAOxwOnDlzBhEREZAkqdWfX6PRICUlBXl5eZyBuI3ge9a28P1qW/h+tS3+fL+EENBqtUhOToZM1vComHbfMyOTydCpUyd/l8EVvNsgvmdtC9+vtoXvV9vir/ersR6ZGhwATERERG0awwwRERG1aQwzLUypVOLJJ5+EUqn0dynkJb5nbQvfr7aF71fb0lber3Y/AJiIiIjaN/bMEBERUZvGMENERERtGsMMERERtWkMM0RERNSmMcz4idlsRmZmJiRJwr59+/xdDnmQk5OD2267Denp6VCpVOjatSuefPJJWCwWf5dGZ7311ltIS0tDSEgIhg0bhh07dvi7JKrHkiVLMHToUERERCA+Ph6TJ0/G0aNH/V0Weenf//43JEnCvHnz/F2KRwwzfvLPf/4TycnJ/i6DGnDkyBE4HA4sW7YMf/31F1599VW8/fbbeOyxx/xdGgH46KOPMH/+fDz55JPYs2cPBgwYgHHjxqG4uNjfpZEHmzdvxty5c/HHH39gw4YNsFqtuOqqq6DX6/1dGjVi586dWLZsGfr37+/vUurFW7P94LvvvsP8+fPx6aefom/fvti7dy8yMzP9XRZ54cUXX8TSpUtx8uRJf5dywRs2bBiGDh2KN998E0D1OmwpKSm4//778eijj/q5OmpMSUkJ4uPjsXnzZlx22WX+LofqodPpMGjQIPzvf//Ds88+i8zMTLz22mv+LssNe2ZaWVFREe644w68//77CA0N9Xc51ERVVVVQq9X+LuOCZ7FYsHv3bowdO9bZJpPJMHbsWPz+++9+rIy8VVVVBQD89xTg5s6di4kTJ7r8WwtE7X6hyUAihMDs2bNx9913Y8iQIcjJyfF3SdQEx48fxxtvvIGXXnrJ36Vc8EpLS2G325GQkODSnpCQgCNHjvipKvKWw+HAvHnzMHLkSGRkZPi7HKrH2rVrsWfPHuzcudPfpTSKPTM+8Oijj0KSpAa/jhw5gjfeeANarRYLFy70d8kXNG/fr9ry8/Mxfvx43Hjjjbjjjjv8VDlR+zB37lwcPHgQa9eu9XcpVI+8vDz84x//wOrVqxESEuLvchrFMTM+UFJSgrKysgb36dKlC/72t7/hq6++giRJzna73Q65XI4ZM2bg3XffbelSCd6/X8HBwQCAM2fOYPTo0bj44ouxatUqyGT8G8DfLBYLQkNDsW7dOkyePNnZPmvWLFRWVuKLL77wX3HUoPvuuw9ffPEFtmzZgvT0dH+XQ/X4/PPPMWXKFMjlcmeb3W6HJEmQyWQwm80u2/yNYaYVnTp1ChqNxvn4zJkzGDduHNatW4dhw4ahU6dOfqyOPMnPz8eYMWMwePBgfPDBBwH1j/dCN2zYMFx00UV44403AFRfuujcuTPuu+8+DgAOQEII3H///Vi/fj02bdqE7t27+7skaoBWq0Vubq5L25w5c9CrVy888sgjAXd5kGNmWlHnzp1dHoeHhwMAunbtyiATgPLz8zF69GikpqbipZdeQklJiXNbYmKiHysjAJg/fz5mzZqFIUOG4KKLLsJrr70GvV6POXPm+Ls08mDu3LlYs2YNvvjiC0RERKCwsBAAEBUVBZVK5efqqK6IiAi3wBIWFobY2NiACzIAwwxRvTZs2IDjx4/j+PHjbmGTHZr+N23aNJSUlGDRokUoLCxEZmYmvv/+e7dBwRQYli5dCgAYPXq0S/vKlSsxe/bs1i+I2hVeZiIiIqI2jSMZiYiIqE1jmCEiIqI2jWGGiIiI2jSGGSIiImrTGGaIiIioTWOYISIiojaNYYaIiIjaNIYZogCWk5MDSZKwb9++gDl3WloaXnvtNZ/VsWnTJkiShMrKyoA4z/l66qmnkJCQAEmS8Pnnn/u1FqILBcMMUS0lJSW455570LlzZyiVSiQmJmLcuHH47bffnPvwQ8q3RowYgYKCAkRFRXl9zOjRozFv3rzzPo+vHT58GIsXL8ayZctQUFCACRMm+K0WogsJlzMgquWGG26AxWLBu+++iy5duqCoqAg///xzo6tsBzKLxeJcATwQBQcH+2StK1+d53ycOHECAHDddddBkiSP+wT6+0HUFrFnhuisyspKbN26FS+88ALGjBmD1NRUXHTRRVi4cCGuvfZaANWXWABgypQpkCTJ+fjEiRO47rrrkJCQgPDwcAwdOhQ//fSTy/nT0tLw/PPP49Zbb0VERAQ6d+6M5cuXu+yzY8cODBw4ECEhIRgyZAj27t3rst1ut+O2225Deno6VCoVevbsiddff91ln9mzZ2Py5Ml47rnnkJycjJ49e3p1bk+Ki4sxadIkqFQqpKenY/Xq1R5ft9tvvx1xcXGIjIzE5Zdfjv379wMAsrKyIEkSjhw54nLMq6++iq5duwJwvzxUVlaG6dOno2PHjggNDUW/fv3w4Ycfunx/mzdvxuuvvw5JkiBJEnJycjxeZvr000/Rt29fKJVKpKWl4eWXX3apo7H3xGKx4L777kNSUhJCQkKQmpqKJUuWeHytnnrqKUyaNAkAIJPJnGGmvvfjwIEDuPzyy6FSqRAbG4s777wTOp3O5fucPHkynn/+eSQkJCA6OhpPP/00bDYbHn74YajVanTq1AkrV66s/w1EdS/W/fffj3nz5iEmJgYJCQlYsWKFc1HOiIgIdOvWDd99953LcQcPHsSECRMQHh6OhIQE3HLLLSgtLXVu//7773HJJZcgOjoasbGxuOaaa5xhDjh3GfOzzz7DmDFjEBoaigEDBuD3339vsF6iZhFEJIQQwmq1ivDwcDFv3jxhMpk87lNcXCwAiJUrV4qCggJRXFwshBBi37594u233xYHDhwQWVlZ4vHHHxchISEiNzfXeWxqaqpQq9XirbfeEseOHRNLliwRMplMHDlyRAghhFarFXFxceLmm28WBw8eFF999ZXo0qWLACD27t0rhBDCYrGIRYsWiZ07d4qTJ0+KDz74QISGhoqPPvrI+TyzZs0S4eHh4pZbbhEHDx4UBw8e9OrcnkyYMEEMGDBA/P7772LXrl1ixIgRQqVSiVdffdW5z9ixY8WkSZPEzp07RVZWlliwYIGIjY0VZWVlQgghhgwZIh5//HGX8w4ePNjZtnHjRgFAVFRUCCGEOH36tHjxxRfF3r17xYkTJ8R///tfIZfLxfbt24UQQlRWVorhw4eLO+64QxQUFIiCggJhs9nczrNr1y4hk8nE008/LY4ePSpWrlwpVCqVWLlypdfvyYsvvihSUlLEli1bRE5Ojti6datYs2aNx9dKq9WKlStXCgDOuup7P3Q6nUhKShLXX3+9OHDggPj5559Fenq6mDVrlsv7GBERIebOnSuOHDki/t//+38CgBg3bpx47rnnRFZWlnjmmWeEQqEQeXl59b6Ho0aNEhEREeKZZ55xHiOXy8WECRPE8uXLRVZWlrjnnntEbGys0Ov1QgghKioqRFxcnFi4cKE4fPiw2LNnj7jyyivFmDFjnOddt26d+PTTT8WxY8fE3r17xaRJk0S/fv2E3W4XQgiRnZ0tAIhevXqJr7/+Whw9elRMnTpVpKamCqvVWm+9RM3BMENUy7p160RMTIwICQkRI0aMEAsXLhT79+932QeAWL9+faPn6tu3r3jjjTecj1NTU8Xf//5352OHwyHi4+PF0qVLhRBCLFu2TMTGxgqj0ejcZ+nSpY0Gjrlz54obbrjB+XjWrFkiISFBmM1mZ1tzzn306FEBQOzYscPZdvjwYQHAGWa2bt0qIiMj3cJf165dxbJly4QQQrz66quia9eubuc9fPiwEMI9zHgyceJEsWDBAufjUaNGiX/84x8u+9Q9z8033yyuvPJKl30efvhh0adPH+fjxt6T+++/X1x++eXC4XDUW1tt69evF3X/RvT0fixfvlzExMQInU7nbPvmm2+ETCYThYWFzuNSU1Od4UAIIXr27CkuvfRS52ObzSbCwsLEhx9+WG9No0aNEpdcconbMbfccouzraCgQAAQv//+uxBCiGeeeUZcddVVLufJy8sTAMTRo0c9Pk9JSYkAIA4cOCCEOBdm/u///s+5z19//eXy3hP5Ci8zEdVyww034MyZM/jyyy8xfvx4bNq0CYMGDcKqVasaPE6n0+Ghhx5C7969ER0djfDwcBw+fBinTp1y2a9///7O/5ckCYmJiSguLgZQPXi0f//+CAkJce4zfPhwt+d66623MHjwYMTFxSE8PBzLly93e55+/fq5jMvw9ty1HT58GEFBQRg8eLCzrVevXoiOjnY+3r9/P3Q6HWJjYxEeHu78ys7Odl5yuOmmm5CTk4M//vgDALB69WoMGjQIvXr18vi8drsdzzzzDPr16we1Wo3w8HD88MMPbt9jYw4fPoyRI0e6tI0cORLHjh2D3W53tjX0nsyePRv79u1Dz5498cADD+DHH39sUg01PL0fAwYMQFhYmEttDocDR48edbb17dsXMtm5X9MJCQno16+f87FcLkdsbKyz3vrU/h5rjql9noSEBABwnmf//v3YuHGjy3ta837VvK/Hjh3D9OnT0aVLF0RGRjovuTb0M5+UlOTyPES+wgHARHWEhITgyiuvxJVXXoknnngCt99+O5588knMnj273mMeeughbNiwAS+99BK6desGlUqFqVOnwmKxuOynUChcHkuSBIfD4XVta9euxUMPPYSXX34Zw4cPR0REBF588UVs377dZb/aH5ItSafTISkpCZs2bXLbVhN6EhMTcfnll2PNmjW4+OKLsWbNGtxzzz31nvPFF1/E66+/jtdeew39+vVDWFgY5s2b5/Za+kpD78mgQYOQnZ2N7777Dj/99BP+9re/YezYsVi3bl2TnqO574en2przM9TYeWrG99ScR6fTYdKkSXjhhRfczlUTSCZNmoTU1FSsWLECycnJcDgcyMjIaPBnvu7zEPkKwwxRI/r06eNyK7ZCoXD5yx4AfvvtN8yePRtTpkwBUP1hkJOT06Tn6d27N95//32YTCZnD0pNb0bt5xkxYgTuvfdeZ1vtQZfnc+66evXqBZvNht27d2Po0KEAgKNHj7oMsB00aBAKCwsRFBTk/MvckxkzZuCf//wnpk+fjpMnT+Kmm26qd9/ffvsN1113Hf7+978DqP7gy8rKQp8+fZz7BAcHu70Hnr7n2rfU15y7R48ekMvlDR5bW2RkJKZNm4Zp06Zh6tSpGD9+PMrLy6FWq70+h6faVq1aBb1e7ww6v/32G2QymXOAsD8NGjQIn376KdLS0hAU5P4xUVZWhqNHj2LFihW49NJLAQC//vpra5dJ5MTLTERnlZWV4fLLL8cHH3yAP//8E9nZ2fjkk0/wn//8B9ddd51zv7S0NPz8888oLCxERUUFAKB79+747LPPsG/fPuzfvx8333xzk//6vPnmmyFJEu644w4cOnQI3377LV566SWXfbp3745du3bhhx9+QFZWFp544gns3LnTJ+euq2fPnhg/fjzuuusubN++Hbt378btt98OlUrl3Gfs2LEYPnw4Jk+ejB9//BE5OTnYtm0b/vWvf2HXrl3O/a6//npotVrcc889GDNmDJKTk+t93u7du2PDhg3Ytm0bDh8+jLvuugtFRUUu+6SlpWH79u3IyclBaWmpx9d6wYIF+Pnnn/HMM88gKysL7777Lt5880089NBDjb5eNV555RV8+OGHOHLkCLKysvDJJ58gMTHR5VJbc8yYMQMhISGYNWsWDh48iI0bN+L+++/HLbfc4rzk409z585FeXk5pk+fjp07d+LEiRP44YcfMGfOHNjtdsTExCA2NhbLly/H8ePH8csvv2D+/Pn+LpsuYAwzRGeFh4dj2LBhePXVV3HZZZchIyMDTzzxBO644w68+eabzv1efvllbNiwASkpKRg4cCCA6g+9mJgYjBgxApMmTcK4ceMwaNCgJj//V199hQMHDmDgwIH417/+5dbNf9ddd+H666/HtGnTMGzYMJSVlbn00pzPuT1ZuXIlkpOTMWrUKFx//fW48847ER8f79wuSRK+/fZbXHbZZZgzZw569OiBm266Cbm5uS4fyhEREZg0aRL279+PGTNmNPicjz/+OAYNGoRx48Zh9OjRSExMxOTJk132eeihhyCXy9GnTx/ExcV5HE8zaNAgfPzxx1i7di0yMjKwaNEiPP300w1eLqwrIiIC//nPfzBkyBAMHToUOTk5+Pbbb13GsTRHaGgofvjhB5SXl2Po0KGYOnUqrrjiCpefM39KTk7Gb7/9Brvdjquuugr9+vXDvHnzEB0dDZlMBplMhrVr12L37t3IyMjAgw8+iBdffNHfZdMFTBJCCH8XQURERNRc7JkhIiKiNo1hhoiIiNo0hhkiIiJq0xhmiIiIqE1jmCEiIqI2jWGGiIiI2jSGGSIiImrTGGaIiIioTWOYISIiojaNYYaIiIjaNIYZIiIiatMYZoiIiKhN+//MkT4NeRgMmgAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mean, var = thinkstats2.TrimmedMeanVar(weights, p=0.01)\n",
"std = np.sqrt(var)\n",
"\n",
"xs = [-4, 4]\n",
"fxs, fys = thinkstats2.FitLine(xs, mean, std)\n",
"thinkplot.Plot(fxs, fys, linewidth=4, color=\"0.8\")\n",
"\n",
"thinkplot.PrePlot(2)\n",
"xs, ys = thinkstats2.NormalProbability(weights)\n",
"thinkplot.Plot(xs, ys, label=\"all live\")\n",
"\n",
"xs, ys = thinkstats2.NormalProbability(term_weights)\n",
"thinkplot.Plot(xs, ys, label=\"full term\")\n",
"thinkplot.Config(\n",
" title=\"Normal probability plot\",\n",
" xlabel=\"Standard deviations from mean\",\n",
" ylabel=\"Birth weight (lbs)\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lognormal model\n",
"\n",
"As an example of a lognormal disrtribution, we'll look at adult weights from the BRFSS."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/brfss.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/CDBRFS08.ASC.gz\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"import brfss\n",
"\n",
"df = brfss.ReadBrfss()\n",
"weights = df.wtkg2.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following function estimates the parameters of a normal distribution and plots the data and a normal model."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def MakeNormalModel(weights):\n",
" \"\"\"Plots a CDF with a Normal model.\n",
"\n",
" weights: sequence\n",
" \"\"\"\n",
" cdf = thinkstats2.Cdf(weights, label=\"weights\")\n",
"\n",
" mean, var = thinkstats2.TrimmedMeanVar(weights)\n",
" std = np.sqrt(var)\n",
" print(\"n, mean, std\", len(weights), mean, std)\n",
"\n",
" xmin = mean - 4 * std\n",
" xmax = mean + 4 * std\n",
"\n",
" xs, ps = thinkstats2.RenderNormalCdf(mean, std, xmin, xmax)\n",
" thinkplot.Plot(xs, ps, label=\"model\", linewidth=4, color=\"0.8\")\n",
" thinkplot.Cdf(cdf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the distribution of adult weights and a normal model, which is not a very good fit."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n, mean, std 398484 78.59599565702814 17.75455519179818\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"MakeNormalModel(weights)\n",
"thinkplot.Config(\n",
" title=\"Adult weight, linear scale\",\n",
" xlabel=\"Weight (kg)\",\n",
" ylabel=\"CDF\",\n",
" loc=\"upper right\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the distribution of adult weight and a lognormal model, plotted on a log-x scale. The model is a better fit for the data, although the heaviest people are heavier than the model expects."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n, mean, std 398484 1.884660713731975 0.09623580259151746\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"log_weights = np.log10(weights)\n",
"MakeNormalModel(log_weights)\n",
"thinkplot.Config(\n",
" title=\"Adult weight, log scale\",\n",
" xlabel=\"Weight (log10 kg)\",\n",
" ylabel=\"CDF\",\n",
" loc=\"upper right\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following function generates a normal probability plot."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"def MakeNormalPlot(weights):\n",
" \"\"\"Generates a normal probability plot of birth weights.\n",
"\n",
" weights: sequence\n",
" \"\"\"\n",
" mean, var = thinkstats2.TrimmedMeanVar(weights, p=0.01)\n",
" std = np.sqrt(var)\n",
"\n",
" xs = [-5, 5]\n",
" xs, ys = thinkstats2.FitLine(xs, mean, std)\n",
" thinkplot.Plot(xs, ys, color=\"0.8\", label=\"model\")\n",
"\n",
" xs, ys = thinkstats2.NormalProbability(weights)\n",
" thinkplot.Plot(xs, ys, label=\"weights\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When we generate a normal probability plot with adult weights, we can see clearly that the data deviate from the model systematically."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAj4AAAHHCAYAAAC/R1LgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABmUUlEQVR4nO3dd3hUZdoG8HtaJm1KQhohIQm9F6mhhWhoAi6CdZEmIrIEpSmgLsWGa8VC0f0U1AWxYkHK0oL0XgQECSb0FMqUtKnn+yPmLMNMQtpkZpL7d11c67zzzplnJri5Ped9nyMRBEEAERERUR0g9XQBRERERDWFwYeIiIjqDAYfIiIiqjMYfIiIiKjOYPAhIiKiOoPBh4iIiOoMBh8iIiKqMxh8iIiIqM5g8CEiIqI6g8GHyAusWLECEokEmZmZFX5tWloaJBIJ0tLSqr2u6iKRSDB//vxKvzY1NbV6C6pjxo4di/j4+Go7ni/8nSMqDYMPUTVasmQJJBIJunXr5tE6Vq1ahUWLFnm0hpq2e/duzJ8/HzqdztOlUBnWrVtX6RBMVB0YfIiq0cqVKxEfH4/9+/cjPT3dY3V4W/ApLCzEiy++6Nb32L17NxYsWMDg4+XWrVuHBQsWeLoMqsMYfIiqSUZGBnbv3o133nkH4eHhWLlypadL8hr+/v6Qy+WeLsNrFBQUeLoEojqLwYeomqxcuRIhISEYPHgwHnjggVKDz8mTJ3H33XcjICAAMTExeOWVV2C3253mlbYuJj4+HmPHji21jr59++KXX37B+fPnIZFIIJFIylzfMXz4cNx1110OY0OHDoVEIsFPP/0kju3btw8SiQTr168Xx3Q6HaZOnYrY2FgolUo0adIE//rXv5w+j6vPkpaWhs6dO8Pf3x+NGzfGRx99hPnz50Mikbis84cffkCbNm2gVCrRunVrbNiwQXxu/vz5ePbZZwEACQkJ4ueu6JqpkrVWu3btwvTp0xEeHo6goCDcf//9yM3NdZq/ZMkStG7dGkqlEtHR0Zg8ebLTGae+ffuiTZs2OHToEPr06YPAwEA8//zzyMzMhEQiwVtvvYXFixejUaNGCAwMRP/+/XHx4kUIgoCXX34ZMTExCAgIwN/+9jfcuHHD4dg//vgjBg8ejOjoaCiVSjRu3Bgvv/wybDZbhT53ifj4eAwZMgT//e9/0aFDB/j7+6NVq1b4/vvvy/X6b775Bp06dUJAQADCwsLw2GOP4fLly+LzY8eOxeLFiwFA/BmV9vMmchf+JxhRNVm5ciWGDx8OPz8/PProo1i6dCkOHDiALl26iHOysrKQnJwMq9WK2bNnIygoCB9//DECAgKqrY4XXngBer0ely5dwrvvvgsACA4OLnV+79698eOPP8JgMECtVkMQBOzatQtSqRQ7duzAfffdBwDYsWMHpFIpevbsCaD4rEVSUhIuX76MiRMnomHDhti9ezfmzJmDq1evlnmp7ciRIxg4cCDq16+PBQsWwGaz4aWXXkJ4eLjL+Tt37sT333+Pf/zjH1CpVHj//fcxYsQIXLhwAfXq1cPw4cPxxx9/4Msvv8S7776LsLAwACj1eHcyZcoUhISEYN68ecjMzMSiRYuQmpqKr776Spwzf/58LFiwACkpKZg0aRLOnDkj/sx37doFhUIhzr1+/ToGDRqERx55BI899hgiIyPF51auXAmz2YwpU6bgxo0beOONN/DQQw/h7rvvRlpaGmbNmoX09HR88MEHmDlzJj799FPxtStWrEBwcDCmT5+O4OBgbN26FXPnzoXBYMCbb75Zqc9+9uxZPPzww3jqqacwZswYLF++HA8++CA2bNiAfv36lfq6FStWYNy4cejSpQsWLlyI7OxsvPfee9i1axeOHDkCrVaLiRMn4sqVK9i0aRO++OKLStVHVGUCEVXZwYMHBQDCpk2bBEEQBLvdLsTExAjPPPOMw7ypU6cKAIR9+/aJYzk5OYJGoxEACBkZGeI4AGHevHlO7xUXFyeMGTNGfLxt2zYBgLBt2zZxbPDgwUJcXFy5aj9w4IAAQFi3bp0gCIJw/PhxAYDw4IMPCt26dRPn3XfffULHjh3Fxy+//LIQFBQk/PHHHw7Hmz17tiCTyYQLFy6U+lmGDh0qBAYGCpcvXxbHzp49K8jlcuH2/1sCIPj5+Qnp6eni2LFjxwQAwgcffCCOvfnmm07fYUUtX75cACCkpKQIdrtdHJ82bZogk8kEnU4nCELxz8zPz0/o37+/YLPZxHkffvihAED49NNPxbGkpCQBgLBs2TKH98rIyBAACOHh4eJxBUEQ5syZIwAQ2rdvL1gsFnH80UcfFfz8/ISioiJxrKCgwOkzTJw4UQgMDHSYN2bMmHL9fYiLixMACN999504ptfrhfr16zv87G//O2c2m4WIiAihTZs2QmFhoThv7dq1AgBh7ty54tjkyZOdfsZENYmXuoiqwcqVKxEZGYnk5GQAxafxH374YaxevdrhssO6devQvXt3dO3aVRwLDw/HyJEja7zmEh07dkRwcDB+/fVXAMVndmJiYjB69GgcPnwYBQUFEAQBO3fuRO/evcXXffPNN+jduzdCQkJw7do18U9KSgpsNpt4vNvZbDZs3rwZw4YNQ3R0tDjepEkTDBo0yOVrUlJS0LhxY/Fxu3btoFar8eeff1bHV+DkySefdLgE07t3b9hsNpw/fx4AsHnzZpjNZkydOhVS6f/+b3TChAlQq9X45ZdfHI6nVCoxbtw4l+/14IMPQqPRiI9LdgQ+9thjDuuiunXrBrPZ7HDp6NYzhUajEdeuXUPv3r1RUFCA06dPV+ajIzo6Gvfff7/4WK1WY/To0Thy5AiysrJcvubgwYPIycnBP/7xD/j7+4vjgwcPRosWLZy+DyJP4qUuoiqy2WxYvXo1kpOTkZGRIY5369YNb7/9NrZs2YL+/fsDAM6fP+9yq3vz5s1rrN7byWQyJCYmYseOHQCKg0/v3r3Rq1cv2Gw27N27F5GRkbhx44ZD8Dl79iyOHz9e6uWknJycUscLCwvRpEkTp+dcjQFAw4YNncZCQkJw8+bNO36+yrj9/UJCQgBAfL+SAHT7z83Pzw+NGjUSny/RoEED+Pn5leu9SkJQbGysy/FbP/PJkyfx4osvYuvWrTAYDA7z9Xp9KZ+ubE2aNHFad9OsWTMAQGZmJqKiopxeU9r3AQAtWrTAzp07K1ULkTsw+BBV0datW3H16lWsXr0aq1evdnp+5cqVYvCpDpVduFqWXr164dVXX0VRURF27NiBF154AVqtFm3atMGOHTvENSm3Bh+73Y5+/frhueeec3nMkl+W1UEmk7kcFwSh2t7Dne9X1hqu0t7rTjXodDokJSVBrVbjpZdeQuPGjeHv74/Dhw9j1qxZLhfMExGDD1GVrVy5EhEREeJulVt9//33WLNmDZYtW4aAgADExcXh7NmzTvPOnDnjNBYSEuK0Q8hsNuPq1at3rKmiO2V69+4Ns9mML7/8EpcvXxYDTp8+fcTg06xZM4dFuY0bN0ZeXh5SUlIq9F4RERHw9/d32eeoKr2PanJ3UFxcHIDin1ujRo3EcbPZjIyMjAp/J5WRlpaG69ev4/vvv0efPn3E8VvPOlZGeno6BEFw+D7/+OMPACh1d+Ct38fdd9/t8NyZM2fE54Ga/TkRucI1PkRVUFhYiO+//x5DhgzBAw884PQnNTUVRqNR3BZ+7733Yu/evdi/f794jNzcXJdb3xs3buy0Tubjjz8u1xmfoKCgCl3q6NatGxQKBf71r38hNDQUrVu3BlAciPbu3Yvt27c7nO0BgIceegh79uzBxo0bnY6n0+lgtVpdvpdMJkNKSgp++OEHXLlyRRxPT0932CpfUUFBQeJ7u1tKSgr8/Pzw/vvvO5wF+uSTT6DX6zF48GC311ByRujW9zebzViyZEmVjnvlyhWsWbNGfGwwGPD555+jQ4cOLi9zAUDnzp0RERGBZcuWwWQyiePr16/H77//7vB91OTPicgVnvEhqoKffvoJRqNR3PJ9u+7du4vNDB9++GE899xz+OKLLzBw4EA888wz4nb2uLg4HD9+3OG1TzzxBJ566imMGDEC/fr1w7Fjx7Bx40Zxq3ZZOnXqhK+++grTp09Hly5dEBwcjKFDh5Y6PzAwEJ06dcLevXvFHj5A8Rmf/Px85OfnOwWfZ599Fj/99BOGDBmCsWPHolOnTsjPz8dvv/2Gb7/9FpmZmaXWOn/+fPz3v/9Fz549MWnSJNhsNnz44Ydo06YNjh49esfPV9pnBoq38z/yyCNQKBQYOnQogoKCxK3n27ZtQ9++fSt1/FuFh4djzpw5WLBgAQYOHIj77rsPZ86cwZIlS9ClSxc89thjVX6PO+nRowdCQkIwZswYPP3005BIJPjiiy+qfPmvWbNmGD9+PA4cOIDIyEh8+umnyM7OxvLly0t9TUloHjduHJKSkvDoo4+K29nj4+Mxbdo0cW7Jz+npp5/GgAEDIJPJ8Mgjj1SpZqIK8dyGMiLfN3ToUMHf31/Iz88vdc7YsWMFhUIhXLt2TRCE4u3iSUlJgr+/v9CgQQPh5ZdfFj755BOnrdg2m02YNWuWEBYWJgQGBgoDBgwQ0tPTy7WdPS8vT/j73/8uaLVaAUC5tjI/++yzAgDhX//6l8N4kyZNBADCuXPnnF5jNBqFOXPmCE2aNBH8/PyEsLAwoUePHsJbb70lmM1mcR5cbM3fsmWL0LFjR8HPz09o3Lix8H//93/CjBkzBH9/f4d5AITJkyc7vfft34MgFG+xb9CggSCVSh2+zxkzZggSiUT4/fffy/wOSrazHzhwwGHc1XcsCMXb11u0aCEoFAohMjJSmDRpknDz5k2HOUlJSULr1q2d3qtkO/ubb77p8r2++eabO9a2a9cuoXv37kJAQIAQHR0tPPfcc8LGjRudaq3IdvbBgwcLGzduFNq1aycolUqhRYsWTrWU9n189dVXQseOHQWlUimEhoYKI0eOFC5duuQwx2q1ClOmTBHCw8MFiUTCre1U4ySC4KbVgUREFTRs2DCcPHnS5TqoqujatSvi4uLwzTffVOtxa5v4+Hi0adMGa9eu9XQpRG7DNT5E5BGFhYUOj8+ePYt169ZVy6WoWxkMBhw7dgwvvfRStR6XiHwT1/gQkUc0atQIY8eOFfveLF26FH5+fqVuj68stVrtsOCWiOo2Bh8i8oiBAwfiyy+/RFZWFpRKJRITE/Haa6+hadOmni6NiGoxrvEhIiKiOoNrfIiIiKjOYPAhIiKiOoNrfFB8z6ErV65ApVKxnToREZGPEAQBRqMR0dHRkErLdy6HwQfFLdpvvxMyERER+YaLFy8iJiamXHMZfACoVCoAxV+cWq32cDVERERUHgaDAbGxseLv8fJg8MH/7hasVqsZfIiIiHxMRZapcHEzERER1RkMPkRERFRnMPgQERFRncE1PuVkt9thNps9XQbdQqFQQCaTeboMIiLyIQw+5WA2m5GRkQG73e7pUug2Wq0WUVFR7L9ERETlwuBzB4Ig4OrVq5DJZIiNjS13gyRyL0EQUFBQgJycHABA/fr1PVwRERH5AgafO7BarSgoKEB0dDQCAwM9XQ7dIiAgAACQk5ODiIgIXvYiIqI74umLO7DZbAAAPz8/D1dCrpSEUYvF4uFKiIjIFzD4lBPXkHgn/lyIiKgiGHyIiIiozmDwoSrp27cvpk6dWu75K1asgFardVs9REREZeHiZiIiInIbvbEQf166BkNeIZK6NPN0OQw+REREVHWCIOCGPh9/XrqGPy9eQ8ala/jzUi6u6/IBAP5KBfp0burxtZm81FUBgiDAZrN59I8gCOWqtW/fvpgyZQqmTp2KkJAQREZG4t///jfy8/Mxbtw4qFQqNGnSBOvXrxdfs337dnTt2hVKpRL169fH7NmzYbVaxefz8/MxevRoBAcHo379+nj77bed3tdkMmHmzJlo0KABgoKC0K1bN6SlpVX5uyciIu8hCAKyrhmw++g5rPx5H15e+gsef/FzPDnvP3j93xvw9YaDOHAiUww9AFBksuBqrt6DVRfjGZ8KsNvtyMjI8GgNCQkJ5e5X89lnn+G5557D/v378dVXX2HSpElYs2YN7r//fjz//PN49913MWrUKFy4cAE3b97Evffei7Fjx+Lzzz/H6dOnMWHCBPj7+2P+/PkAgGeffRbbt2/Hjz/+iIiICDz//PM4fPgwOnToIL5namoqTp06hdWrVyM6Ohpr1qzBwIED8dtvv6Fp06Zu+EaIiMid7HY7ruTqkXHxWvHZnEu5+PPiNRQUVfw2Tn9euoboCG31F1kBDD61WPv27fHiiy8CAObMmYPXX38dYWFhmDBhAgBg7ty5WLp0KY4fP46ff/4ZsbGx+PDDDyGRSNCiRQtcuXIFs2bNwty5c1FQUIBPPvkE//nPf3DPPfcAKA5WMTEx4vtduHABy5cvx4ULFxAdHQ0AmDlzJjZs2IDly5fjtddeq+FvgIiIKsJqteFS9s3iS1WXr+HcxWvIvHwdJnPVeqX5KeRIiAmDQu75RrMMPrVYu3btxH+WyWSoV68e2rZtK45FRkYCKO58/PvvvyMxMdHh2mvPnj2Rl5eHS5cu4ebNmzCbzejWrZv4fGhoKJo3by4+/u2332Cz2dCsmePiNZPJhHr16lX75yMiosozW6y4cOWGw1mc81dvwGq1Vem4gf5+SIgJQ6OYMDSKDUNCTDgaRGi85pZPDD61mEKhcHgskUgcxkpCTnXdfDUvLw8ymQyHDh1yuhwXHBxcLe9BREQVV2SyIPPydZy7mPvX4uNcXMq6CXs5142WRhXkj8ax4WgUE4aE2DA0iglHZD2Vxxcwl4XBpwKkUikSEhI8XoM7tGzZEt999x0EQRD/wu7atQsqlQoxMTEIDQ2FQqHAvn370LBhQwDAzZs38ccffyApKQkA0LFjR9hsNuTk5KB3795uqZOIiMqWV2D6a0fVNZy7mIuMi7m4mqtH1SIOEKoJcgg4jWLCUE8b5NUhxxWPBp+lS5di6dKlyMzMBAC0bt0ac+fOxaBBgwAARUVFmDFjBlavXg2TyYQBAwZgyZIl4iUaoHhdyaRJk7Bt2zYEBwdjzJgxWLhwIeTy6v9oEomk1t4I8x//+AcWLVqEKVOmIDU1FWfOnMG8efMwffp0SKVSBAcHY/z48Xj22WdRr149RERE4IUXXnAIYs2aNcPIkSMxevRovP322+jYsSNyc3OxZcsWtGvXDoMHD/bgJyQiqn30xkLxLE7GX/+bc8NY5eNGhKr+Cjnh4iUrrap23Kjbo8EnJiYGr7/+Opo2bQpBEPDZZ5/hb3/7G44cOYLWrVtj2rRp+OWXX/DNN99Ao9EgNTUVw4cPx65duwAU30B08ODBiIqKwu7du3H16lWMHj0aCoWCC2krqEGDBli3bh2effZZtG/fHqGhoRg/fry4OBoA3nzzTeTl5WHo0KFQqVSYMWMG9HrHrYnLly/HK6+8ghkzZuDy5csICwtD9+7dMWTIkJr+SEREtYYgCLiuyxfX45TssLqhz7/zi8sgARAdoXU4i5MQE4bgQGX1FO6FJEJ5G8PUkNDQULz55pt44IEHEB4ejlWrVuGBBx4AAJw+fRotW7bEnj170L17d6xfvx5DhgzBlStXxLNAy5Ytw6xZs5Cbm1vuO6obDAZoNBro9Xqo1WqH54qKipCRkYGEhAT4+/tX74elKuPPh4hqK7PFivU7TuLY6Yv489I1GPOLqnQ8qUSCmKgQNPrrLE7j2HDEN6gHf6Xizi/2UmX9/i6N16zxsdls+Oabb5Cfn4/ExEQcOnQIFosFKSkp4pwWLVqgYcOGYvDZs2cP2rZt63Dpa8CAAZg0aRJOnjyJjh07unwvk8kEk8kkPjYYDO77YERERJXw3hdbsffYn5V6rVwuQ1z9UDS65UxOw+hQ+Cm85te+x3j8G/jtt9+QmJiIoqIiBAcHY82aNWjVqhWOHj0KPz8/pxtaRkZGIisrCwCQlZXlEHpKni95rjQLFy7EggULqveDEBERVROT2YJ95Qw9Sj8F4hvUQ+OSkBMbhgYRWsi9oGeON/J48GnevDmOHj0KvV6Pb7/9FmPGjMH27dvd+p5z5szB9OnTxccGgwGxsbFufU8iIqLyumkodLkLK9Dfz+EsTkJsGKLDvadHji/wePDx8/NDkyZNAACdOnXCgQMH8N577+Hhhx+G2WyGTqdzOOuTnZ2NqKgoAEBUVBT279/vcLzs7GzxudIolUoolbV34RYREfk2naHA4bFCLsOiOQ97fY8cX+B1EdFut8NkMqFTp05QKBTYsmWL+NyZM2dw4cIFJCYmAgASExPx22+/IScnR5yzadMmqNVqtGrVqsZrJyIiqg43bws+IepARIWpGXqqgUfP+MyZMweDBg1Cw4YNYTQasWrVKqSlpWHjxo3QaDQYP348pk+fjtDQUKjVakyZMgWJiYno3r07AKB///5o1aoVRo0ahTfeeANZWVl48cUXMXnyZJ7RISIin6U3Fjo81qprRw8db+DR4JOTk4PRo0fj6tWr0Gg0aNeuHTZu3Ih+/foBAN59911IpVKMGDHCoYFhCZlMhrVr12LSpElITExEUFAQxowZg5deeslTH4mIiKjK8gpNDo/VQWzXUV08Gnw++eSTMp/39/fH4sWLsXjx4lLnxMXFYd26ddVdGhERkcdYbrtRqILb0KuN163xISIiqutstwUfmYxre6oLgw+VS3x8PBYtWlTu+ZmZmZBIJDh69KjbaiIiqq2sNrvDY3ktvU+kJzD4ULkcOHAATz75ZLUec8WKFU4NKomICLDZHYOPQs5f19WFFw2pXMLDwz1dAhFRnXH7Gh8ZGxRWG36TFSAIAvTGQo/+Ke89ZdeuXQutVgubrfhfnqNHj0IikWD27NninCeeeAKPPfYYAGDnzp3o3bs3AgICEBsbi6effhr5+f+76+/tl7pOnz6NXr16wd/fH61atcLmzZshkUjwww8/ONTx559/Ijk5GYGBgWjfvj327NkDAEhLS8O4ceOg1+shkUggkUgwf/58AMCSJUvQtGlT+Pv7IzIyUrxJLRFRXcFLXe7DMz4VYMgrwuMvfubRGj59ZQw0qoA7zuvduzeMRiOOHDmCzp07Y/v27QgLC0NaWpo4Z/v27Zg1axbOnTuHgQMH4pVXXsGnn36K3NxcpKamIjU1FcuXL3c6ts1mw7Bhw9CwYUPs27cPRqMRM2bMcFnHCy+8gLfeegtNmzbFCy+8gEcffRTp6eno0aMHFi1ahLlz5+LMmTMAgODgYBw8eBBPP/00vvjiC/To0QM3btzAjh07KvdlERH5KJuNl7rchcGnltJoNOjQoQPS0tLQuXNnpKWlYdq0aViwYAHy8vKg1+uRnp6OpKQkLFy4ECNHjsTUqVMBAE2bNsX777+PpKQkLF26FP7+jv0jNm3ahHPnziEtLU28Ncirr74q9l+61cyZMzF48GAAwIIFC9C6dWukp6ejRYsW0Gg0kEgkDrcXuXDhAoKCgjBkyBCoVCrExcWhY8eObvqWiIi8k8XqGHxkvOFotWGErMWSkpKQlpYGQRCwY8cODB8+HC1btsTOnTuxfft2REdHo2nTpjh27BhWrFiB4OBg8c+AAQNgt9uRkZHhdNwzZ84gNjbWIbB07drVZQ3t2rUT/7l+/foA4HCLkdv169cPcXFxaNSoEUaNGoWVK1eioKCg1PlERLVRyTKFEjIpt7NXFwafWqxv377YuXMnjh07BoVCgRYtWqBv375IS0vD9u3bkZSUBADIy8vDxIkTcfToUfHPsWPHcPbsWTRu3LhKNSgUCvGfS+4xY79tt8KtVCoVDh8+jC+//BL169fH3Llz0b59e+h0uirVQUTkS7jGx314qasC1MH++PSVMR6vobxK1vm8++67Ysjp27cvXn/9ddy8eVNcl3PXXXfh1KlTaNKkSbmO27x5c1y8eBHZ2dmIjIwEULzdvaL8/Pyc/qsGAORyOVJSUpCSkoJ58+ZBq9Vi69atGD58eIXfg4jIF1mtt6/xYfCpLgw+FSCRSMq1sNhbhISEoF27dli5ciU+/PBDAECfPn3w0EMPwWKxiGFo1qxZ6N69O1JTU/HEE08gKCgIp06dwqZNm8TX3apfv35o3LgxxowZgzfeeANGoxEvvvgiAFTozsHx8fHIy8vDli1b0L59ewQGBmLr1q34888/0adPH4SEhGDdunWw2+1o3rx5NXwjRES+wXr7pS52bq42vNRVyyUlJcFms6Fv374AgNDQULRq1QpRUVFimGjXrh22b9+OP/74A71790bHjh0xd+5cREdHuzymTCbDDz/8gLy8PHTp0gVPPPEEXnjhBQBwWghdlh49euCpp57Cww8/jPDwcLzxxhvQarX4/vvvcffdd6Nly5ZYtmwZvvzyS7Ru3bpqXwQRkQ/hpS73kQjlbQxTixkMBmg0Guj1eqjVaofnioqKkJGRgYSEhAr9Uq9rdu3ahV69eiE9Pb3K64Iqgj8fIqqNnnvrO5y7mCs+Tv17MpK78cz37cr6/V0aXuqiSlmzZg2Cg4PRtGlTpKen45lnnkHPnj1rNPQQEdVWt3dulst4gaa6MPhQpRiNRsyaNQsXLlxAWFgYUlJS8Pbbb3u6LCKiWuH2BoZSBp9qw+BDlTJ69GiMHj3a02UQEdVKzjcp5Rqf6sIISURE5GV4qct9+E2WE9eAeyf+XIioNrp9V5eMwafa8Ju8A9lfWwjNZrOHKyFXSm5ncWuHaCIiX3d7A0Oe8ak+XONzB3K5HIGBgcjNzYVCoYBUyr983kAQBBQUFCAnJwdarVYMqEREtcHtZ3y4xqf6MPjcgUQiQf369ZGRkYHz5897uhy6jVardbhZKhGRN8svNOHT73fjxNnLTju3bmUyWxwey/gf3dWGwacc/Pz80LRpU17u8jIKhYJneojIp/zn531I23+mwq+Tyxl8qguDTzlJpVJ2BiYiokqz2ezYeSi9Uq/VqgKruZq6ixGSiIioBpw9n4OCoopfOejXo6VP3SDb2/GMDxERUQ048vsFh8cNIrQY/0CvMl8TqglCTKTWjVXVPQw+RERENeDI7xcdHndpG4/2zWM8VE3dxUtdREREbqY3FjrcbR0AOrSI9VA1dRuDDxERkZsdPe14tkfpp0DLRmzF4QkMPkRERG52+2Wuds0aQM6mhB7B4ENERORm569cd3jcvgXX9ngKgw8REZGbGfOLHB5H1lN7qBJi8CEiInIjQRBgLDA5jAUHKj1UDTH4EBERuZHZYoXVanMYUwXxTgCewuBDRETkRsZ8k9MYg4/nMPgQERG50e3reyQAggL8PFMMMfgQERG5U95t63uCApWQSCQeqoYYfIiIiNzIcNsZHzUvc3kUgw8REZEb5d0WfIIZfDyKwYeIiMiNbt/Krgpk8PEkBh8iIiI3cj7jwx4+nsTgQ0RE5EY84+NdGHyIiIjcyJjneMZHFczg40keDT4LFy5Ely5doFKpEBERgWHDhuHMmTMOc/r27QuJROLw56mnnnKYc+HCBQwePBiBgYGIiIjAs88+C6vVWpMfhYiIyKWsa3qHx9zV5VlyT7759u3bMXnyZHTp0gVWqxXPP/88+vfvj1OnTiEoKEicN2HCBLz00kvi48DAQPGfbTYbBg8ejKioKOzevRtXr17F6NGjoVAo8Nprr9Xo5yEiIrpVfqEJl3N0DmMJMfU8UwwB8HDw2bBhg8PjFStWICIiAocOHUKfPn3E8cDAQERFRbk8xn//+1+cOnUKmzdvRmRkJDp06ICXX34Zs2bNwvz58+Hnx+6YRERU8/Yc/RNvLf+vw5hMJkV8dJiHKiLAy9b46PXFpwNDQ0MdxleuXImwsDC0adMGc+bMQUFBgfjcnj170LZtW0RGRopjAwYMgMFgwMmTJ12+j8lkgsFgcPhDRERUXXTGAnywcpvTeJOGEVAoZB6oiEp49IzPrex2O6ZOnYqePXuiTZs24vjf//53xMXFITo6GsePH8esWbNw5swZfP/99wCArKwsh9ADQHyclZXl8r0WLlyIBQsWuOmTEBFRXXfo5HmYzBaHMQmAhwd19kxBJPKa4DN58mScOHECO3fudBh/8sknxX9u27Yt6tevj3vuuQfnzp1D48aNK/Vec+bMwfTp08XHBoMBsbGxlSuciIjoNgd+O+80NnV0Cto3j/FANXQrr7jUlZqairVr12Lbtm2IiSn7L0W3bt0AAOnp6QCAqKgoZGdnO8wpeVzauiClUgm1Wu3wh4iIqDqcu5CLgycyHcbGj+iJXp2aeKYgcuDR4CMIAlJTU7FmzRps3boVCQkJd3zN0aNHAQD169cHACQmJuK3335DTk6OOGfTpk1Qq9Vo1aqVW+omIiJyJeuaAa98tA7CLWNKPwX6dG7msZrIkUcvdU2ePBmrVq3Cjz/+CJVKJa7J0Wg0CAgIwLlz57Bq1Srce++9qFevHo4fP45p06ahT58+aNeuHQCgf//+aNWqFUaNGoU33ngDWVlZePHFFzF58mQolWwLTkRENWfdr7/BkFfoMNa/R0sEB/L3kbfw6BmfpUuXQq/Xo2/fvqhfv77456uvvgIA+Pn5YfPmzejfvz9atGiBGTNmYMSIEfj555/FY8hkMqxduxYymQyJiYl47LHHMHr0aIe+P0RERDUh49I1h8dyuYwLmr2MR8/4CIJQ5vOxsbHYvn37HY8TFxeHdevWVVdZREREFWaz2XHq3FWHsdH3dUeAP/vJeROvWNxMRETk6/b/luk01rB+qPNE8igGHyIioioSBMGpS7M6OAAtG7neXUyew+BDRERURWcysp3GRg7pCrmcXZq9DYMPERFRFVitNrzw3g9O473uYt8eb8TgQ0REVAXfbz7iNNa9XQL8lQoPVEN3wuBDRERUSTf0+fhq/UGn8Ye4hd1rMfgQERFV0j9eWuU01rdrc8RF1/NANVQeDD5ERESVUFhkhsVqcxiTy2WYMjLZQxVReTD4EBERVUKhyeI0dk+3Fh6ohCqCwYeIiKgSTGar09iYYd09UAlVBIMPERFRJZjMjmd8JAD8FB69ExSVA4MPERFRJdx+xsfPTwGJROKhaqi8GHyIiIgq4fbgo/Tj2R5fwOBDRERUCUW3Bx9e5vIJ/CkRERFVgCAIKCyyQGcocBjnGR/fwJ8SERFROZ1Mv4JFn2/BDX2+03N+DD4+gZe6iIiIyunf3+xwGXoAoFlcRA1XQ5XB4ENERFQOJrMFF7Nulvp8/56ta7AaqiyelyMiIiqHzMvXXY4r5DI8Orgr4qJDa7giqgwGHyIionJIv5Dr8DjA3w+LZj8EdbA/Gxf6EP6kiIiIyuFi1g2Hx13bxiMsJNhD1VBlcY0PERFROdx+qSs2KsRDlVBVMPgQERHdwZUcHc6ez3EYS4gJ81A1VBUMPkRERHfw5qf/dXgsk0nRslGUh6qhqmDwISIiKkNegQkXrjqu72nZKApKP4WHKqKqYPAhIiIqhd1ux0tL1jqNs2eP72LwISIiKsWR3y/i3MVcp/EWCZEeqIaqA4MPERGRC1arDa99vN5pPCYyBKGaIA9URNWBwYeIiMiF439cdjn+4lP3QiKR1HA1VF0YfIiIiFy4mqt3GnvxqcEID1V5oBqqLgw+RERELmze87vTWIcWMR6ohKoTgw8REZEL/krH7erd2yXwElctwOBDRER0m5+3HccfmdkOY4EBSg9VQ9WJwYeIiOgWB0+ex4ofdjuND+/X0QPVUHVj8CEiIvqLIAhY6GILOwBEhalruBpyBwYfIiKiv2za7bygGQBemMgt7LWF3NMFEBEReYtt+884jc2fPBRtmzXwQDXkDjzjQ0REBMBktiD9guPtKXre1YShp5bhGR8iIqqzbhoKUGSyAAB+PXgWdrvd4flJD/fxRFnkRgw+RERU55gtVrz+7w04duZSqXPCQ1QI8PerwaqoJvBSFxER1Tn7jmWUGXoAILZ+SA1VQzXJo8Fn4cKF6NKlC1QqFSIiIjBs2DCcOeO4sKyoqAiTJ09GvXr1EBwcjBEjRiA727Gp1IULFzB48GAEBgYiIiICzz77LKxWa01+FCIi8iEXs27ecU5Sl2Y1UAnVNI8Gn+3bt2Py5MnYu3cvNm3aBIvFgv79+yM/P1+cM23aNPz888/45ptvsH37dly5cgXDhw8Xn7fZbBg8eDDMZjN2796Nzz77DCtWrMDcuXM98ZGIiMgH3DQUuByXSqUIClBi9oSB6HVXkxquimqCRBAEwdNFlMjNzUVERAS2b9+OPn36QK/XIzw8HKtWrcIDDzwAADh9+jRatmyJPXv2oHv37li/fj2GDBmCK1euIDIyEgCwbNkyzJo1C7m5ufDzu/P1WYPBAI1GA71eD7WaDaqIiGq7vz/7CUxmi/j4oYGdMaJfR0ilEkilXAXiKyrz+9urfrp6vR4AEBoaCgA4dOgQLBYLUlJSxDktWrRAw4YNsWfPHgDAnj170LZtWzH0AMCAAQNgMBhw8uTJGqyeiIh8wY6DZx1CDwC0bdYAcrmMoacO8JpdXXa7HVOnTkXPnj3Rpk0bAEBWVhb8/Pyg1Wod5kZGRiIrK0ucc2voKXm+5DlXTCYTTCaT+NhgMFTXxyAiIi/347ZjTmPN4iI8UAl5gtdE28mTJ+PEiRNYvXq1299r4cKF0Gg04p/Y2Fi3vycREXme3W5HxqVrDmNSqRRyucxDFVFN84rgk5qairVr12Lbtm2IiYkRx6OiomA2m6HT6RzmZ2dnIyoqSpxz+y6vksclc243Z84c6PV68c/Fixer8dMQEZG32n7grNPY3EmDPVAJeYpHg48gCEhNTcWaNWuwdetWJCQkODzfqVMnKBQKbNmyRRw7c+YMLly4gMTERABAYmIifvvtN+Tk5IhzNm3aBLVajVatWrl8X6VSCbVa7fCHiIhqv6zrzksbWjZy/R/JVDt5dI3P5MmTsWrVKvz4449QqVTimhyNRoOAgABoNBqMHz8e06dPR2hoKNRqNaZMmYLExER0794dANC/f3+0atUKo0aNwhtvvIGsrCy8+OKLmDx5MpRKpSc/HhEReZlfD/zhNMbLXHWLR4PP0qVLAQB9+/Z1GF++fDnGjh0LAHj33XchlUoxYsQImEwmDBgwAEuWLBHnymQyrF27FpMmTUJiYiKCgoIwZswYvPTSSzX1MYiIyAdYrTbk3DA6jI0c0s1D1ZCneFUfH09hHx8iotrNbLEi9ZUvcV2X7zC+aM7DiI3irSl8lc/38SEiInKHvcf+dAo9ABATqa35YsijGHyIiKjW+2r9QaexNk2jIZFIPFANeRKDDxER1WoXs24i65rzbq7xI3p5oBryNAYfIiKq1XYecu7dM3XUPWhYP9QD1ZCnMfgQEVGt9u1/DzuNdWkbX/OFkFdg8CEiojrlH48mwV+p8HQZ5CEMPkREVGt98t1Op7EGEdy+Xpcx+BARUa1kyCvEul9POI03ig3zQDXkLRh8iIioVsq8fN1pTCaTwk/h0ZsWkIcx+BARUa3kqmHhJy+P9kAl5E0Ye4mIyOcJgoDcm3m4qf9f2Nl3PMNhTvvmMVAF+dd0aeRlGHyIiMjnff7jXvy07ViZczSqgBqqhrwZL3UREZFPu6HPv2PoAcCGhQSAwYeIiHzc1xuc78PlSocWsW6uhHwBL3UREZFP27T7d6exWxsUBgX4YVDvNkiI4TZ2YvAhIiIfZrZYnca0qkB88gp3b5FrvNRFREQ+6/3/bHMamz42xQOVkK9g8CEiIp8kCAL2HD3nNN4sLtID1ZCvYPAhIiKflHszz+W4QiGr4UrIlzD4EBGRT1r0+Ransf/863EPVEK+hIubiYjIp9jtdmw/cBZnMrIcxpvGRSDA389DVZGvYPAhIiKfsn7HSXz6/S6n8VBNkAeqIV/DS11EROQz8gtNLkMPADw4oFMNV0O+iMGHiIh8wh+Z2Rg9e7nL5+Ki6yG+Qb0aroh8ES91ERGRT/hxq+v7cY27vweSujSDRCKp4YrIFzH4EBGRV7NYbPj8pz3Ye+xPl88P6duuhiuqvYqKilBUVAStVuvpUtyGwYeIiLzaL7/+hnW/nnAal8mkeGfWgx6oqHYRBAH5+fnQ6XQoKioCAAQFBUGhUNzhlb6JwYeIiLzalj3ONyGVSiT45OXRUAX5e6Ci2sFms8FgMECv18NqdbznmV6vR1hY7bypK4MPERF5rT8ys3ElV+80fm+ftgw9lWQ2m6HX62EwGCAIgss5BoMBoaGhkEpr3x4oBh8iIvJKgiBgzrtrnMbHj+iJQb3beKAi3yUIAgoKCqDX61FQUFDmXJlMBo1GU0OV1TwGHyIi8jpXc/V47aN1Lp/rl9iKO7jKyW63w2g0QqfTwWKxlDnX398fGo0GwcHBtfr7ZfAhIiKv8/LSX5B93eA03q9HS96EtBwsFot4Octut5c5Nzg4GFqtFv7+dePSIYMPERF5HVehBwAeG9q9hivxHYIgoKioCHq9Hnl5ru9cX0IqlUKj0UCj0UAur1tRoG59WiIi8npWq83l+OPDeyI4UFnD1Xg/QRCQl5cHnU4Hk8lU5lw/Pz9oNBqoVKpauXC5PBh8iIjI485fuYGcG8Vnec78meX0/AcvPILoCG0NV+XdbDYb9Ho99Ho9bDbXYbFEYGAgtFotAgICavX6nfKoUPAZPXo0Fi9eDJVKBQA4duwYWrVqVWubHBERkft9ue4Avt14qMw5DD3/YzKZoNPpkJeXV+p2dACQSCRQq9XQaDTw8/OrwQq9W4XOc61cuRKFhYXi4969e+PixYvVXhQREdUNZosVP2456ukyvF7J5azLly/j4sWLMBqNpYYeuVyOsLAwxMfHIzw8nKHnNhU643P7l1xW0iQiIrqTE2evwFLKmp4SfTo3raFqvI/NZhO3o9/eXfl2AQEB0Gq1CAwMrPOXs8rCNT5EROQxn3y302ksIrR4OYVMJkXrJtEYd3+Pmi7L48rTXRkovpxVsh1dqeTC7/KocPA5deoUsrKKF54JgoDTp087bZtr1453yiUiotIJgoD9v2Ui65rjtvWYyBC89/zDHqrKswRBQGFhIXQ6Xbm7K2s0Gshk7GtUERUOPvfcc49D+hwyZAiA4tQpCAIkEskdV5cTEVHd9s3GQ/hq/UGn8bu7t/BANZ5V0l1Zr9fDbDaXOVepVEKr1db67sruVKHgk5GR4a46iIioDnEVegAgsUOjGq7Ec6xWq7gdvTzdlTUaDfz9/Rl4qqhCu7ri4uLK9ae8fv31VwwdOhTR0dGQSCT44YcfHJ4fO3YsJBKJw5+BAwc6zLlx4wZGjhwJtVoNrVaL8ePH37FjJREReY7ZUvoi3fCQ4BqspOaVdFfOyspCZmYmbt68WWrokUqlCAkJQVxcHKKiotiDp5pUanHz2bNn8eOPPyIzMxMSiQQJCQkYNmwYGjWqWFLPz89H+/bt8fjjj2P48OEu5wwcOBDLly8XH9++eGvkyJG4evUqNm3aBIvFgnHjxuHJJ5/EqlWrKv7BiIjI7b74aa/TWM+7mmDCA71q7S92dlf2HhUOPgsXLsTcuXNht9sREREBQRCQm5uL2bNn47XXXsPMmTPLfaxBgwZh0KBBZc5RKpWIiopy+dzvv/+ODRs24MCBA+jcuTMA4IMPPsC9996Lt956C9HR0eX/YERE5FZmixXfbjyMdb+ecHpu2uh7amXoYXdl71OhKLlt2za8+OKLeOGFF3Dt2jVcvXoVWVlZYvCZPXs2fv3112otMC0tDREREWjevDkmTZqE69evi8/t2bMHWq1WDD0AkJKSAqlUin379pV6TJPJBIPB4PCHiIjca/yLn+O7TYedxmMiQ2rdL3qTyYScnBxkZmbixo0bpYYeiUQCjUaDhg0bIjo6mj14akCFzvgsW7YMTzzxBObPn+8wHhoaipdeeglZWVlYunQp+vTpUy3FDRw4EMOHD0dCQgLOnTuH559/HoMGDcKePXsgk8mQlZWFiIgIh9fI5XKEhoaKW+5dWbhwIRYsWFAtNRIR0Z3lF5pQUOR6x9KTD/Wu4WrcQxAEFBQUQKfTOdzlwBW5XA6NRgO1Ws3t6DWsQsFn//79+OKLL0p9ftSoURg9enSViyrxyCOPiP/ctm1btGvXDo0bN0ZaWhruueeeSh93zpw5mD59uvjYYDAgNja2SrUSEZFr6edzMOud710+FxMZglaN69dwRdXLbrfDYDBAr9fDYrGUOdff3x9arRZBQUE8s+MhFQo+2dnZiI+PL/X5hISEMs+0VFWjRo0QFhaG9PR03HPPPYiKikJOTo7DHKvVihs3bpS6LggoXjfEDpdERDXj9f/b4HJ82pgUdGkT57MBwGKxQKfTwWg0lrkdnd2VvUuFgk9RUVGZNztTKBR3bL5UFZcuXcL169dRv37xfx0kJiZCp9Ph0KFD6NSpEwBg69atsNvt6Natm9vqICKisgmCgO83H8HGnSdx0+DchbhV4/rodVcTD1RWNSXdlfV6PfLz88ucW9JdWa1WQy7nHaK8RYV/Ev/3f/+H4GDXfRaMRmOFjpWXl4f09HTxcUZGBo4ePYrQ0FCEhoZiwYIFGDFiBKKionDu3Dk899xzaNKkCQYMGAAAaNmyJQYOHIgJEyZg2bJlsFgsSE1NxSOPPMIdXUREHvRHZjZWrd3v8rnocA3mTCh7R6+3sdvt4nb08nRXLtmO7qtns2oziVCBW6zHx8eX64dY3g7PaWlpSE5OdhofM2YMli5dimHDhuHIkSPQ6XSIjo5G//798fLLLyMyMlKce+PGDaSmpuLnn3+GVCrFiBEj8P7775cazlwxGAzQaDTQ6/VQq9Xlfh0REbk24pllpT736StjoFEF1GA1lVeR7spBQUHQarXsrlyDKvP7u0JnfDIzMytTV6n69u1b5l1nN27ceMdjhIaGslkhEZEXOXzqQqnPDe3bzidCT1FREXQ63R3vBCCVSqFWq6HRaKBQKGqoOqqKCvXx2bp1K1q1auWy741er0fr1q2xY8eOaiuOiIh8iyAIePWjdU7j9bRBWDZvJMbe38MDVZWPIAgwGo24dOkSLl26VGboUSgUCA8PR3x8PMLCwhh6fEiFzvgsWrQIEyZMcHk6SaPRYOLEiXjnnXfQu3ft6MlARETlV1hkxrwPf3b53FvPPgB1sHee6bHZbOJ2dKu19PuIAcXdlTUaDRsN+rAKnfE5duyY001Cb9W/f38cOnSoykUREZHv+XrDIZy7mOs0PuyeDl4Zem7trnz9+vVSQ49EIoFarRa7K7MHj2+rcB+fsk7nyeVy5OY6/6UnIqLa76dtx1yOP3pvlxqupHTsrkwVCj4NGjTAiRMn0KSJ694Lx48fF3vsEBFR3XHw5HmX47OeGAi53POhgd2VqUSFgs+9996Lf/7znxg4cCD8/f0dnissLMS8efMwZMiQai2QiIi8h85YgBNnr8BsdrwstPjLNKe5M8b1Q9e28TVTWCksFgv0ej0MBkO5uitrNBqn329Uu1Soj092djbuuusuyGQypKamonnz5gCA06dPY/HixbDZbDh8+LBDnx1fwD4+RER3lnPDiEkLVpZ7/reLJnrkjIkgCOJ29PJ0Vy7Zjs7uyr7H7X18IiMjsXv3bkyaNAlz5swRe/BIJBIMGDAAixcv9rnQQ0RE5VOR0DOi3101Hnoq0l3Zz88PWq0WwcHBkEortM+HfFyF421cXBzWrVuHmzdvIj09HYIgoGnTpggJCXFHfURE5AW27TtTofl/u6e9mypxVtJd2WAwwGazlTmX3ZWp0uf1QkJC0KWL96zUJyIi98grMOHDVdtcPtc4NtzhsVYViL/d0x5BAe6/C3lRURH0ej3y8vLKvAsAuyvTrXhBk4iISnX09EW8vPQXl8+tfmsCFIqa3bElCALy8/Oh0+lQVFRU5lyFQiFuR+flLCrB4ENERC6tWLMbP6cdd/ncyCHdajT0VKS7ckBAALRaLbsrk0sMPkRE5EQQhFJDDwAM79exRuowm83Q6XQwGo1lXs6SSCRQqVTQaDRQKt1/mY18F4MPERE5uGkowBP//LzU5+f+w7392kq6K+v1ehQUFJQ5l92VqaIYfIiIyEFpoWdgr9ZI7NAIbZo2cMv72u12GI1G6HS6cnVX1mg0CA4O5uUsqhAGHyKiOs5qteHrDYdw9PRFFBSV3v9mwoO93fL+5e2uDADBwcHidnSiymDwISKq4z79fjc27jpZ6vNSqRQfvvhItb5nRborS6VSaDQadlemasG/QUREdZQgCDh7PqfM0AMA37z7ZLW+p9FohF6vh8lkKnMuuyuTOzD4EBHVUdP+9Q0uXr1R5pynH7u7Wt7LarWK29HL011Zo9EgICCA63eo2jH4EBHVMYIgIPdmXqmhZ+ywHtCqApAQG4aYyKrdjshkMkGn05Wru7JKpYJWq2V3ZXIrBh8iojpk99Fz+OirX5FXUPplpqHJ7ar0HuyuTN6MwYeIqI6wWGx4e/mmUp/v27U5xg5LrPTx2V2ZfAGDDxFRHWCz2fHc29+V+nyrxvUxZWRypY5tNpvF7ejsrkzejsGHiKgO+L/vduJCKWt6YiJDMGNcvwodTxAEFBYWQqfT3bG7skwmE7ejs7syeRqDDxFRLWXMLxLDzn93nXI55+MFjyFUE1Tuy00l3ZX1ej3M5tKbHQKAUqkUt6PzchZ5CwYfIqJa6NDJ83jt4/Vlznlpyn2opw0u1/Eq011ZqVQy8JDXYfAhIqqF7hR65k8eitZNosucU9JdWa/XIy8vr8y57K5MvoJ/O4mIapmDJ8/fcU7bZqXfaFQQBOTl5UGn05Wru7JGo4FKpeJ2dPIJDD5ERLVIfqEJC0s526MK8keThuF46uEkl8/bbDbo9fpydVcODAyEVqtld2XyOQw+REQ+6oY+H/uPZzrcUX3l2n0u53733lOlHqe83ZUlEgnUajU0Gg38/PwqXziRBzH4EBH5oLwCEybM/aJcc2c9MdBprKS7sl6vR2FhYZmvl8vl0Gq1UKlU3I5OPo/Bh4jIB5XVgflWqiB/dG0bLz622WwwGo3Q6XTl6q6s0WgQFFT+7e5E3o7Bh4jIx6xNO47jf1wq19w3Zo4AULHuyrduRyeqbRh8iIh8iN5YiOVrdrt8rlOrOPGfgwL9cE/3Fgj2l+HKlSvl7q6sVqu5HZ1qNf7tJiLyYna7HWu3/4Yzf2ZBALDveIbLeR/NfwxhIcHia0q6K1+5cqXM47O7MtU1DD5ERF5s0RdbsetweplzHh7UGWEhwbBareJ29PJ0V9ZoNPD392fgoTqFwYeIyEtdu5l3x9AjAXBf3zbIysoqV3flku3oCoWiGisl8h0MPkREXujdzzdj56HSQ48gADabFXOfvAeXLpW90FmhUIjb0dldmeo6Bh8iIi9jzC8qNfSM6NcRpqIiWK0mtGkcCU1Q6WduAgMDodFoEBgYyMtZRH9h8CEi8jC73Y7V6w5i5+F0mMxW6IzOO7BsNjuC/OXo1jKM3ZWJqoDBh4jIw7btP4PvNh12Gi++nGWDxWJBfH0NUh9JLDX0yOVycTs6uysTlY7Bh4jIQwoKzdh3PANLvtzuMC4IAqxWKywWKwTBjubx4ZjySA+Xx/D394dWq2V3ZaJy8ugqt19//RVDhw5FdHQ0JBIJfvjhB4fnBUHA3LlzUb9+fQQEBCAlJQVnz551mHPjxg2MHDkSarUaWq0W48ePv+POBiIiTxMEAaNmf4oPV20Tx+x2O0wmMwoKCmE2myEIdijkMoy7r5PDayUSCVQqFWJiYhATE8MePEQV4NEzPvn5+Wjfvj0ef/xxDB8+3On5N954A++//z4+++wzJCQk4J///CcGDBiAU6dOwd/fHwAwcuRIXL16FZs2bYLFYsG4cePw5JNPYtWqVTX9cYiIylRksiCvwAQAWPHDHgDFl7Ps9uLLWTabDQAwILEZmjasBz8/OWIjNVDIiy9dyWQycf0OuysTVY5EKGuVXA2SSCRYs2YNhg0bBqD4v4aio6MxY8YMzJw5EwCg1+sRGRmJFStW4JFHHsHvv/+OVq1a4cCBA+jcuTMAYMOGDbj33ntx6dIlREdHl+u9DQYDNBoN9Ho91Gq1Wz4fEdVtryz7BUd+vyg+Lr6cZYPVanFqNvjh7L85PFYqldBoNAgODuZ2dKJbVOb3t9f+G5SRkYGsrCykpKSIYxqNBt26dcOePcX/pbRnzx5otVox9ABASkoKpFIp9u3bV+qxTSYTDAaDwx8iInf5ftMRMfTY7QLMZjMKCwthNpscQs+gns3xr2cGiY+DgoLQoEEDxMTEQK1WM/QQVQOvPVealZUFAIiMjHQYj4yMFJ/LyspCRESEw/NyuRyhoaHiHFcWLlyIBQsWVHPFRESOruvysHrdQWzdd/qv3VlW2GxWl3PnTUxBeEgQuysTuZnXBh93mjNnDqZPny4+NhgMiI2N9WBFRFTbCIKACXP/A5vNCovF+XJWCT+FHIN7NUd0hJbdlYlqgNcGn6ioKABAdnY26tevL45nZ2ejQ4cO4pycnByH11mtVty4cUN8vStKpRJKpbL6iyaiOq2wyIyT567CZLLg9X+vh9Vqcdl3Z97EFAQHFjcX1KiCUa9eKLsrE9UQrw0+CQkJiIqKwpYtW8SgYzAYsG/fPkyaNAkAkJiYCJ1Oh0OHDqFTp+Ltnlu3boXdbke3bt08VToR1UFnz2fjube+g8VigdXq+nIWADRrGIaI0GCoVCpotVp2VyaqYR4NPnl5eUhP/9/9aDIyMnD06FGEhoaiYcOGmDp1Kl555RU0bdpU3M4eHR0t7vxq2bIlBg4ciAkTJmDZsmWwWCxITU3FI488Uu4dXUREVSEIAgoKCvDMq1/CbreVOXf243ejXYs4aDQadlcm8hCPBp+DBw8iOTlZfFyy7mbMmDFYsWIFnnvuOeTn5+PJJ5+ETqdDr169sGHDBrGHDwCsXLkSqampuOeeeyCVSjFixAi8//77Nf5ZiKhusdvtMBgM2PDrcaz46UCZc6VSKVa/NR4qlYqXs4g8zGv6+HgS+/gQUXlZLBbo9XoYDAZcytbhtU+2uZwX6K9AiCYYDaPD8PiI3oiNCqnhSolqv8r8/vbaNT5ERN7AarVh3/EMnDh7Cfn5+SgsLIJdKD7js+f4Baf5EokEcrkcXy/6B7srE3kh/ltJRFQKu92O4U8vddld+XZSqRRyuQJyuQyfv/44Qw+Rl+K/mUREt7Farbh4ORvzFq+F2Wwqc65MJoNCoYBUKsPfh3TFiH4duY6HyIsx+BAR/aWoqAg6nQ6TX/0G+YXmMmZKoFDIIZfLHZoNPtD/LvcXSURVwuBDRHWaIAjIz8+HTqdDUVER3vr811JDj0QixYCerRAUFAi5TAapVAKpVIKG9UOR2KFRDVdORJXB4ENEdZLNZoPBYMCeI3/g10PnYMw3w2qz4/zVm05zpdLiy1lfv/sklH68fxaRL2PwIaI6xWw2i9vRD526hE9/PFjqXLlcDrlcAZlMireefYChh6gWYPAholqvpLuyXq+H3mDEH+evIa/AjC9+Oew0t2Q7ukKhgEQiwdfvPAmZjDcNJaotGHyIqNay2+0wGo3Q6XSwWCwoNFnw7LvrXM6VSqVQKBSQyeQo2ZQ1fkRPhh6iWobBh4hqnVu7K9/af8dV6JHJ5FAo5JDJZHhwYCdogwMhk0nQrnkMIuuxkztRbcPgQ0S1giAIKCoqgl6vx6mzl/D2Fzsg4H935LHbb707T8l2dAWk0uLTO5H11HhkUJcarpqIahqDDxH5NEEQkJeXB51OB5PJBH1eEd74bLvLucXdlYv775Q0GYxvEIaOLWIwcmi3miybiDyEwYeIfJLVaoXBYIBer8dNQz52H7sAnbEQO49kOs29tbvyrU2Vv3vvqZormIi8AoMPEfkUk8kEnU6HvLw8CIIAi8WG5z/Y6HKuXK6AQuHYXbnEyjfGu7tUIvJCDD5E5PVKuivr9Xrk5xfg6jUDSpbs/Gt5msNciUQChUIhXs7q0iYeDw/qLD7vr1SgfrimBqsnIm/C4ENEXstms4nb0a1WK85dvI53V+50Obeku7JM5ng5a/aEgTVULRH5AgYfIvI6t3ZXFoTiUzvZ1/Nchp5buyuXGNS7DRrHhqPXXU1qrGYi8g0MPkTkFQRBQGFhIXQ6HQoKCgAAF7P1+HrjcVhtNlzM1otzb++ufCsuWCaisjD4EJFHlXRX1uv1MJv/d1f0/EKz0/odV92VS870xEaF4l/T76+psonIRzH4EJFHWK3W4ntn6fW4rsvH7xk5sNr+6rIsAF9vOi7OLemufOt29Ccf7I0BvVp7oHIi8mUMPkRUYwRBcNiODgD/3XMWP20/5WJ2SXdl5+3o7ZrFMPQQUaUw+BCR293eXRkovoXE4dOXnUKPq+7KANCmaTTu7tYCjWLDERsVUqP1E1HtweBDRG5js9nEy1k2mw1A8YLl29fuAKV3VwaAEHUgFqTeVwMVE1Ftx+BDRNXOZDJBr9fDaDSK29EBwJhvcgo9t3dXbhYfCfktW9M7tmyI+1M61ETZRFQHMPgQUbUQBAEFBQXQ6XS4fkOPX49kIvdmnsOcfb9dBFCyHb048Nx6Oevd2Q+hYf3QGq2biOoWBh8iqhK73S7eLNRisUBvLMILi13fO8vVdvQSL025j6GHiNyOwYeIKsVisUCn08FoNOKGPh/ZN/JgzDdhxU+HnOa66q4MAMndmmNEv7sQFaZ2akRIROQODD5EVG4l3ZWLbxaaDwCYu2QTbhgKnOaWdFeWyxWQSp1DTVSYGql/T3Z7zUREt2LwIaI7stvt4nb0W7srp77+o9Pc4u3oJXdHLx67L7m9+LxEArRp2gAdW8a6vW4iotsx+BBRqUq6K/+45Qg27z0Lufx/l6pybjguXHa1HX1Az9Z48qHeNVkyEVGZGHyIyElRURF0Oh2yc29g1nvry5jp3F05KkwNm03Ao4O7IKlLs5opmIionBh8iAhA8eWs306fx5FTGTCZzbDa7Ph5++8u50okUjHw3Loo+dtFE7lImYi8GoMPUR1X0l155KwVDs0GXZHJZH/tznLurszQQ0S+gMGHqI4pMllgs9thMplgMBhwJes6Xvp4c5mvkcvlf63fkWLamBTIbrlpaD1tEJrGRTD0EJFPYPAhqiMOnTyPVz9aD5vNBovFArvdVub827srt2pcHy9NuY8Bh4h8GoMPUS2Xefkapv/rG1itVlgsVgiCvcz5Jd2VO7WOh0Qigd0uYGhyO9zVqmENVUxE5D4MPkS1yJa9v+PwyQsoWYBz8EQmCgqLYLFYAZS9fqe42aAcqqAAfPGvx2ugWiKimsfgQ1QLZFy6hplvfgsAEATAbi++nGWzledy1v+6Kw9Jaodxw3vURMlERB7B4EPkI8wWK85kZMNidQwz7362GQVFZgiCAKvVBqvVAru97MtZIwd3Qq9OzREUFCT239GqAiCXy9xWPxGRN2DwIfJy13V5+Pc3O3HgRKbL5+12AVarBVar9Y7b0Z8ZmYSkbq0QEBDARcpEVCcx+BB5qfxCE0bPXl7q8zabDVarFVar1eXzg3o2h0RS3GwwPiYcyd3bIDgowF3lEhH5BK8OPvPnz8eCBQscxpo3b47Tp08DKG6rP2PGDKxevRomkwkDBgzAkiVLEBkZ6YlyiSrFarVh8ZdpOHDiPIIC/AAAZosNhrxCp7mCANhs1r+2o7u+nDXl0R5oHhcOhUIBjUYDtVotXs4iIqrrvDr4AEDr1q2xefP/mqvJ5f8redq0afjll1/wzTffQKPRIDU1FcOHD8euXbs8USpRhVzN1ePnbcexcddJcaywyOxyriAIsFissFotEAQBwYFKyGVSh+dD1YF4+tEeUKuDodVqERgYyMtZRES38frgI5fLERUV5TSu1+vxySefYNWqVbj77rsBAMuXL0fLli2xd+9edO/evaZLJXKiNxZiz9E/Ych3PHvz49ZjKDJZ7vh6u90Oi8UiXs6qH6bG04/2gCpI6TBPIpFApVJBo9FAqVS6OhQREcEHgs/Zs2cRHR0Nf39/JCYmYuHChWjYsCEOHToEi8WClJQUcW6LFi3QsGFD7Nmzh8GHPOro6YtYs/kITpy9UuHXFl/OKt6dVbId/e4ujTH8njZOc+VyuXg5Sybjjiwiojvx6uDTrVs3rFixAs2bN8fVq1exYMEC9O7dGydOnEBWVhb8/Pyg1WodXhMZGYmsrKwyj2symWAymcTHBoPBHeVTHZBfaILJ/L/FxUd+v4AlX26v1LEEQYCfXIqRg9qLt5OQy6Vo1CAUitu2mfv7+0Oj0SA4OJiXs4iIKsCrg8+gQYPEf27Xrh26deuGuLg4fP311wgIqPzulIULFzotmiYqL0NeIX7aegxrthytluPZ7Xa0TAjH0N7NEB4SVObc4ODi9Tv+/v7V8t5ERHWNVwef22m1WjRr1gzp6eno168fzGYzdDqdw1mf7Oxsl2uCbjVnzhxMnz5dfGwwGBAbG+uusqkWKDJZ8P2mI/hu0+FKH6NZfCRC1YEAim8eYbVaEegnQXLneHE3lytSqRQajQYajcZhcT8REVWcT/2/aF5eHs6dO4dRo0ahU6dOUCgU2LJlC0aMGAEAOHPmDC5cuIDExMQyj6NUKrkAlBzsPfYnNu3+HTIX275NFkul1uqUGJzUFsPu6YBQTRAEQYDRaIRer3e43OpKyaXc4OBgbkcnIqomXh18Zs6ciaFDhyIuLg5XrlzBvHnzIJPJ8Oijj0Kj0WD8+PGYPn06QkNDoVarMWXKFCQmJnJhM91RxqVr+Pe3OyGVSPD7n1fd8h6vPjMMLRoVn320Wq24ceMG9Hr9He+fFRQUBI1Gw+7KRERu4NXB59KlS3j00Udx/fp1hIeHo1evXti7dy/Cw8MBAO+++y6kUilGjBjh0MCQqITVasPpjCzkFxb3x7mUfROr1u6vtuOHaoIwY2w/xNYPEcf85HIoFMWLkU0mE3Q6HfLy8sq8nYRUKoVKpYJWq4VCoai2+oiIyJFEuNPNfeoAg8EAjUYDvV4PtVrt6XKoGuQXmjDnnTW4nKOr9mOHaoLwzKi70bpJtMszMoIgID8/HzqdDkVFRWUei92ViYgqrzK/v736jA9RRa3ZfAT/+XlflY7xwIBOUCqc/9XwV8rRpU08wkNVLl9ns9lgMBig1+tLvX9WiYCAAHZXJiLyAAYf8kmn/8zCC+/9AFWQv3gJKa+g7MXCpenbtTmax0eiZeP6iI0KufMLbmM2m6HX62EwGMq8nMXuykREnsfgQz5DZyzAU/NXwmL93+JgY37Zl5JupfRTIFRTvJ08+5oB08f2Q/f2CZU64yIIAgoLC6HT6VBQUFDmXJlMJm5HZ3dlIiLPYvAhr2W12rBx1ync0Ofj0MnzuJh1s1LH6d6+EZ4ZdTf8XFy+qii73S5uRzebXd9QtIRSqRS3o/NyFhGRd2DwIa8jCAKWffUrNu/5vUrHeWnKfWjZKKpaFg1bLBbxcpbdbi9zbkl3ZaVSycBDRORlGHzIo4z5RQ5rc07/mYUPV22r0DEeH94T8Q3qiY/DQ1WIKGUBckUIgoCioiLo9Xrk5eWVOZfdlYmIfAP/H5o8oqDQjFGzP63067u3S8ATD/ZGyF+3gKhOgiAgLy8POp2uXN2VNRoNVCoVt6MTEfkABh+qcT9uPYbPf9xT4dcldWkGTXAAHhhwF4ICqn9XlM1mg16vL1d35cDAQGi1WnZXJiLyMQw+VCMyL1/DR1/vwB+Z2RV+7dJ5I6vl0lVpyttdWSKRQK1WQ6PRwM+v9JuKEhGR92LwIbc7de4q/vn+jxV+3cxx/ZHYoZEbKvpfd2W9Xo/CwsIy58rlcmi1WqhUKm5HJyLycQw+VK3+vJgrbju/aSjA6nUHHPruuDKgZ2uMvT9RfCyBRLzXVXWz2WwwGo3Q6XTl6q6s0WgQFBTEy1lERLUEgw9Vm9XrD+CbDYcq9Jrlr46BOjjATRX9T0W6K9+6HZ2IiGoXBh+qFnkFpnKHnh4dGyO5a3O0a9YAcrn7Lh1VpruyWq3mdnQiolqM/w9PVWLML8LY51eUe/77LzyCBhFat9UDsLsyERGVjsGHqqSs0BMXXQ8SiQRRYWqkJLZEhxYxbg0XVqtV3I5enu7KGo0G/v7+DDxERHUIgw9VmM1mx64j6di461Spcx4f3hODk9rWSD1FRUXidvSySKVScTu6QqGokdqIiMi7MPhQhX35y36s2XK01OcfHtTZ7aGnIt2VFQqFuB2d3ZWJiOo2Bh+qkKu5+jJDz6evjIFG5b5dWhXtrqzRaBAYGMjLWUREBIDBhyrgy1/249v/Hi71+Y8XPOa20GMymaDX62E0GtldmYiIKo3Bh8rl4MnzpYaeUfd1x8BereGvrN51M4IgoKCgADqdrlzdlUu2o7O7MhERlYbBxwucv3IDq9ftx3VdvqdLKdW5i7kux91xWwm73Q6DwQC9Xg+LxVLmXH9/f2i1WnZXJiKicmHw8bDTf2bhlY/WobCo7H4z3mjssB7o3j6h2o5nsVig0+lgNBrL3I5e0l25ZDs6ERFReTH4eNCJs5fx2scbYDKXfVbDG816YiC6to2v8nFKuivr9Xrk55d9xksmk4nrd9hdmYiIKoO/PTzk6OmLeP3fG+54A09vFN8grMqhx263i9vRy9NdWaPRIDg4mNvRiYioShh8PODAiUy8+el/YbM5Xs7p2DIWPTs28VBV5VNPG4RWjetX+vUl3ZUNBsMdt6MHBQVBq9WyuzIREVUbBh8POJuZ4xR6urdLwLQxKW69aacnsbsyERF5AwYfD3h0cBcUmsxY9+sJAECvTk3w9Mi7IZPVrss4Jd2V9Xo9ioqKypzL7spERFQTGHw8QCKR4PHhPWGx2mCzCZj0SJ9a9cveZrOJ29GtVmuZcwMCAqDVatldmYiIagSDj4dIJBJMfKiP+M+1gdlsFrej36m7skqlglarZXdlIiKqUQw+HlQbAg+7KxMRkS9h8KFKYXdlIiLyRQw+VCEWi0Xcjl5Wd2UAUKlU7K5MRERehcGH7kgQBHE7OrsrExGRL+NvJipVRbor+/n5QavVsrsyERF5NQYfclLR7soajQYBAQFcv0NERF6PwYdERUVF0Ov1yMvLK3M7OrsrExGRr2LwqeMEQUB+fj50Ol25uiuXbEfn5SwiIvJFDD51FLsrExFRXcTgU8dUtLuyRqOBUqmswQqJiIjch8GnDijprqzX61FQUFDmXJlMBo1GA41Gw+7KRERU6zD41GJ2ux1GoxE6ne6O3ZWVSqW4HZ2Xs4iIqLZi8KmFKtJdOTg4GFqtlt2ViYioTqg1W3MWL16M+Ph4+Pv7o1u3bti/f7+nS6pRgiCgsLAQV69exfnz56HT6UoNPVKpFCEhIYiPj0dUVBRDDxER1Rm14ozPV199henTp2PZsmXo1q0bFi1ahAEDBuDMmTOIiIjwdHluJQgCjEYj9Ho9TCZTmXP9/Pyg0WigUqm4HZ2IiOokiVDW1h4f0a1bN3Tp0gUffvghgOK1LbGxsZgyZQpmz559x9cbDAZoNBro9Xqo1Wp3l1strFaruB39Tt2VAwMDodVq2V2ZiIhqlcr8/vb5Mz5msxmHDh3CnDlzxDGpVIqUlBTs2bPH5WtMJpPD2RGDweD2OquLyWSCTqe7Y3dliUQidlf28/OrwQqJiIi8l88Hn2vXrsFmsyEyMtJhPDIyEqdPn3b5moULF2LBggU1UV61KOmurNfrUVhYWOZcuVwOrVYLlUrF7ehERES38fngUxlz5szB9OnTxccGgwGxsbEerMg1dlcmIiKqXj4ffMLCwiCTyZCdne0wnp2djaioKJevUSqVXt2N2Gw2i9vR73Q5q2Q7ujd/HiIiIm/h81t7/Pz80KlTJ2zZskUcs9vt2LJlCxITEz1YWcWUdFe+cuUKLly4AL1eX2rokclkCA0NRXx8PCIjIxl6iIiIysnnz/gAwPTp0zFmzBh07twZXbt2xaJFi5Cfn49x48Z5urQ7KumurNfrYTaby5zL7spERERVUyuCz8MPP4zc3FzMnTsXWVlZ6NChAzZs2OC04NmbWK1W6PV66PX6cnVX1mg08Pf3Z+AhIiKqglrRx6eqaqqPjyAIKCoqgl6vR15eXplzpVIpNBoN1Go1FAqF22oiIiLyVXWyj48vEAQBeXl50Ol07K5MRETkQQw+bmSz2cTLWeyuTERE5HkMPm5gNpuh0+lgNBrZXZmIiMiLMPi4Qcl9tEojl8vF9TvsrkxERFRzGHzcICAgAH5+fk7b0/39/aHVahEUFMTLWURERB7A4OMGEokEWq0WOTk57K5MRETkRRh83CQ4OBhWqxVqtRpyOb9mIiIib8DfyG4ilUoRGhrq6TKIiIjoFmwUQ0RERHUGgw8RERHVGQw+REREVGcw+BAREVGdweBDREREdQaDDxEREdUZDD5ERERUZzD4EBERUZ3B4ENERER1BoMPERER1RkMPkRERFRnMPgQERFRncGblAIQBAEAYDAYPFwJERERlVfJ7+2S3+PlweADwGg0AgBiY2M9XAkRERFVlNFohEajKddciVCRmFRL2e12XLlyBSqVChKJxNPleITBYEBsbCwuXrwItVrt6XJqDX6v7sHv1T34vboHv9fqV/KdXrhwARKJBNHR0ZBKy7d6h2d8AEilUsTExHi6DK+gVqv5L6Yb8Ht1D36v7sHv1T34vVY/jUZT4e+Ui5uJiIiozmDwISIiojqDwYcAAEqlEvPmzYNSqfR0KbUKv1f34PfqHvxe3YPfa/WrynfKxc1ERERUZ/CMDxEREdUZDD5ERERUZzD4EBERUZ3B4ENERER1BoMPlcpkMqFDhw6QSCQ4evSop8vxaZmZmRg/fjwSEhIQEBCAxo0bY968eTCbzZ4uzecsXrwY8fHx8Pf3R7du3bB//35Pl+TTFi5ciC5dukClUiEiIgLDhg3DmTNnPF1WrfP6669DIpFg6tSpni7F512+fBmPPfYY6tWrh4CAALRt2xYHDx4s9+sZfKhUzz33HKKjoz1dRq1w+vRp2O12fPTRRzh58iTeffddLFu2DM8//7ynS/MpX331FaZPn4558+bh8OHDaN++PQYMGICcnBxPl+aztm/fjsmTJ2Pv3r3YtGkTLBYL+vfvj/z8fE+XVmscOHAAH330Edq1a+fpUnzezZs30bNnTygUCqxfvx6nTp3C22+/jZCQkPIfRCByYd26dUKLFi2EkydPCgCEI0eOeLqkWueNN94QEhISPF2GT+nataswefJk8bHNZhOio6OFhQsXerCq2iUnJ0cAIGzfvt3TpdQKRqNRaNq0qbBp0yYhKSlJeOaZZzxdkk+bNWuW0KtXryodg2d8yEl2djYmTJiAL774AoGBgZ4up9bS6/UIDQ31dBk+w2w249ChQ0hJSRHHpFIpUlJSsGfPHg9WVrvo9XoA4N/NajJ58mQMHjzY4e8tVd5PP/2Ezp0748EHH0RERAQ6duyIf//73xU6BoMPORAEAWPHjsVTTz2Fzp07e7qcWis9PR0ffPABJk6c6OlSfMa1a9dgs9kQGRnpMB4ZGYmsrCwPVVW72O12TJ06FT179kSbNm08XY7PW716NQ4fPoyFCxd6upRa488//8TSpUvRtGlTbNy4EZMmTcLTTz+Nzz77rNzHYPCpI2bPng2JRFLmn9OnT+ODDz6A0WjEnDlzPF2yTyjv93qry5cvY+DAgXjwwQcxYcIED1VO5Gzy5Mk4ceIEVq9e7elSfN7FixfxzDPPYOXKlfD39/d0ObWG3W7HXXfdhddeew0dO3bEk08+iQkTJmDZsmXlPobcjfWRF5kxYwbGjh1b5pxGjRph69at2LNnj9P9Tzp37oyRI0dWKFXXBeX9XktcuXIFycnJ6NGjBz7++GM3V1e7hIWFQSaTITs722E8OzsbUVFRHqqq9khNTcXatWvx66+/IiYmxtPl+LxDhw4hJycHd911lzhms9nw66+/4sMPP4TJZIJMJvNghb6pfv36aNWqlcNYy5Yt8d1335X7GAw+dUR4eDjCw8PvOO/999/HK6+8Ij6+cuUKBgwYgK+++grdunVzZ4k+qbzfK1B8pic5ORmdOnXC8uXLIZXyhGtF+Pn5oVOnTtiyZQuGDRsGoPi//rZs2YLU1FTPFufDBEHAlClTsGbNGqSlpSEhIcHTJdUK99xzD3777TeHsXHjxqFFixaYNWsWQ08l9ezZ06ndwh9//IG4uLhyH4PBhxw0bNjQ4XFwcDAAoHHjxvyvwCq4fPky+vbti7i4OLz11lvIzc0Vn+PZivKbPn06xowZg86dO6Nr165YtGgR8vPzMW7cOE+X5rMmT56MVatW4ccff4RKpRLXS2k0GgQEBHi4Ot+lUqmc1kkFBQWhXr16XD9VBdOmTUOPHj3w2muv4aGHHsL+/fvx8ccfV+gMOoMPUQ3YtGkT0tPTkZ6e7hQgBUHwUFW+5+GHH0Zubi7mzp2LrKwsdOjQARs2bHBa8Ezlt3TpUgBA3759HcaXL19+x8u4RDWtS5cuWLNmDebMmYOXXnoJCQkJWLRoEUaOHFnuY0gE/r8uERER1RFcZEBERER1BoMPERER1RkMPkRERFRnMPgQERFRncHgQ0RERHUGgw8RERHVGQw+REREVGcw+BCRV0pLS4NEIoFOpyv3a+bPn48OHTpUWw1nzpxBVFQUjEYjAGDFihXQarVVOuaGDRvQoUMH2O32aqiQiCqKwYeIqmTZsmVQqVSwWq3iWF5eHhQKhVM34JIwc+7cuTset0ePHrh69So0Gk211tu3b19MnTq1XHPnzJmDKVOmQKVSVdv7Dxw4EAqFAitXrqy2YxJR+TH4EFGVJCcnIy8vDwcPHhTHduzYgaioKOzbtw9FRUXi+LZt29CwYUM0btz4jsf18/NDVFQUJBKJW+q+kwsXLmDt2rVuuW3D2LFj8f7771f7cYnozhh8iKhKmjdvjvr16yMtLU0cS0tLw9/+9jckJCRg7969DuPJyckAiu+svnDhQiQkJCAgIADt27fHt99+6zD39ktd//73vxEbG4vAwEDcf//9eOedd1xeevriiy8QHx8PjUaDRx55RLxUNXbsWGzfvh3vvfceJBIJJBIJMjMzXX6ur7/+Gu3bt0eDBg1K/ey5ubno3Lkz7r//fphMJgDATz/9hKZNm8Lf3x/Jycn47LPPnD7H0KFDcfDgwXKd+SKi6sXgQ0RVlpycjG3btomPt23bhr59+yIpKUkcLywsxL59+8Tgs3DhQnz++edYtmwZTp48iWnTpuGxxx7D9u3bXb7Hrl278NRTT+GZZ57B0aNH0a9fP7z66qtO886dO4cffvgBa9euxdq1a7F9+3a8/vrrAID33nsPiYmJmDBhAq5evYqrV68iNjbW5fvt2LEDnTt3LvUzX7x4Eb1790abNm3w7bffQqlUIiMjAw888ACGDRuGY8eOYeLEiXjhhRecXtuwYUNERkZix44dpR6fiNyDd2cnoipLTk7G1KlTYbVaUVhYiCNHjiApKQkWiwXLli0DAOzZswcmkwnJyckwmUx47bXXsHnzZiQmJgIAGjVqhJ07d+Kjjz5CUlKS03t88MEHGDRoEGbOnAkAaNasGXbv3o21a9c6zLPb7VixYoW4LmfUqFHYsmULXn31VWg0Gvj5+SEwMBBRUVFlfqbz58+XGnzOnDmDfv364f7778eiRYvEy3EfffQRmjdvjjfffBNA8dmwEydOuAxo0dHROH/+fJk1EFH14xkfIqqyvn37Ij8/HwcOHMCOHTvQrFkzhIeHIykpSVznk5aWhkaNGqFhw4ZIT09HQUEB+vXrh+DgYPHP559/XurlnzNnzqBr164OY7c/BoD4+HiHxcj169dHTk5OhT9TYWEh/P39XY737t0bw4cPFy+Z3Vpjly5d7lgjAAQEBKCgoKDCdRFR1fCMDxFVWZMmTRATE4Nt27bh5s2b4hmb6OhoxMbGYvfu3di2bRvuvvtuAMW7vgDgl19+cVpDo1Qqq1SLQqFweCyRSCq1dTwsLAw3b950GlcqlUhJScHatWvx7LPPlrkGqCw3btxAeHh4pV5LRJXHMz5EVC2Sk5ORlpaGtLQ0h23sffr0wfr167F//35xfU+rVq2gVCpx4cIFNGnSxOFPaWtumjdvjgMHDjiM3f64PPz8/GCz2e44r2PHjjh16pTTuFQqxRdffIFOnTohOTkZV65ccajx1t1tpdVYVFSEc+fOoWPHjhWun4iqhsGHiKpFcnIydu7ciaNHjzqs0UlKSsJHH30Es9ksBh+VSoWZM2di2rRp+Oyzz3Du3DkcPnwYH3zwAT777DOXx58yZQrWrVuHd955B2fPnsVHH32E9evXV3i7e3x8PPbt24fMzExcu3at1LNBAwYMwJ49e1yGJJlMhpUrV6J9+/a4++67kZWVBQCYOHEiTp8+jVmzZuGPP/7A119/jRUrVgCAQ5179+6FUqkU1zcRUc1h8CGiapGcnIzCwkI0adIEkZGR4nhSUhKMRqO47b3Eyy+/jH/+859YuHAhWrZsiYEDB+KXX35BQkKCy+P37NkTy5YtwzvvvIP27dtjw4YNmDZtmst1OGWZOXMmZDIZWrVqhfDwcFy4cMHlvEGDBkEul2Pz5s0un5fL5fjyyy/RunVr3H333cjJyUFCQgK+/fZbfP/992jXrh2WLl0q7uq69RLel19+iZEjRyIwMLBCtRNR1UkEQRA8XQQRUWVMmDABp0+fdtu28MWLF+Onn37Cxo0bK32MV199FcuWLcPFixcBANeuXRMviZUW8ojIfbi4mYh8xltvvYV+/fohKCgI69evx2effYYlS5a47f0mTpwInU4Ho9FY7ttWLFmyBF26dEG9evWwa9cuvPnmm0hNTRWfz8zMxJIlSxh6iDyEZ3yIyGc89NBDSEtLg9FoRKNGjTBlyhQ89dRTni7LwbRp0/DVV1/hxo0baNiwIUaNGoU5c+ZALud/ZxJ5AwYfIiIiqjO4uJmIiIjqDAYfIiIiqjMYfIiIiKjOYPAhIiKiOoPBh4iIiOoMBh8iIiKqMxh8iIiIqM5g8CEiIqI6g8GHiIiI6oz/B7mNvkUxrPI2AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"MakeNormalPlot(weights)\n",
"thinkplot.Config(\n",
" title=\"Adult weight, normal plot\",\n",
" xlabel=\"Weight (kg)\",\n",
" ylabel=\"CDF\",\n",
" loc=\"upper left\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we make a normal probability plot with log weights, the model fit the data well except in the tails, where the heaviest people exceed expectations."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"MakeNormalPlot(log_weights)\n",
"thinkplot.Config(\n",
" title=\"Adult weight, lognormal plot\",\n",
" xlabel=\"Weight (log10 kg)\",\n",
" ylabel=\"CDF\",\n",
" loc=\"upper left\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pareto distribution\n",
"\n",
"Here's what the Pareto CDF looks like with a range of parameters."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xmin = 0.5\n",
"\n",
"thinkplot.PrePlot(3)\n",
"for alpha in [2.0, 1.0, 0.5]:\n",
" xs, ps = thinkstats2.RenderParetoCdf(xmin, alpha, 0, 10.0, n=100)\n",
" thinkplot.Plot(xs, ps, label=r\"$\\alpha=%g$\" % alpha)\n",
"\n",
"thinkplot.Config(title=\"Pareto CDF\", xlabel=\"x\", ylabel=\"CDF\", loc=\"lower right\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The distribution of populations for cities and towns is sometimes said to be Pareto-like."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/populations.py\")\n",
"download(\"https://github.com/AllenDowney/ThinkStats2/raw/master/code/PEP_2012_PEPANNRES_with_ann.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of cities/towns 19515\n"
]
}
],
"source": [
"import populations\n",
"\n",
"pops = populations.ReadData()\n",
"print(\"Number of cities/towns\", len(pops))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the distribution of population for cities and towns in the U.S., along with a Pareto model. The model fits the data well in the tail."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"log_pops = np.log10(pops)\n",
"cdf = thinkstats2.Cdf(pops, label=\"data\")\n",
"cdf_log = thinkstats2.Cdf(log_pops, label=\"data\")\n",
"\n",
"# pareto plot\n",
"xs, ys = thinkstats2.RenderParetoCdf(xmin=5000, alpha=1.4, low=0, high=1e7)\n",
"thinkplot.Plot(np.log10(xs), 1 - ys, label=\"model\", color=\"0.8\")\n",
"\n",
"thinkplot.Cdf(cdf_log, complement=True)\n",
"thinkplot.Config(\n",
" xlabel=\"log10 population\", ylabel=\"CCDF\", yscale=\"log\", loc=\"lower left\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The lognormal model might be a better fit for this data (as is often the case for things that are supposed to be Pareto)."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thinkplot.PrePlot(cols=2)\n",
"\n",
"mu, sigma = log_pops.mean(), log_pops.std()\n",
"xs, ps = thinkstats2.RenderNormalCdf(mu, sigma, low=0, high=8)\n",
"thinkplot.Plot(xs, ps, label=\"model\", color=\"0.8\")\n",
"\n",
"thinkplot.Cdf(cdf_log)\n",
"thinkplot.Config(xlabel=\"log10 population\", ylabel=\"CDF\", loc=\"lower right\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's a normal probability plot for the log-populations. The model fits the data well except in the right tail, where the biggest cities are bigger than expected."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thinkstats2.NormalProbabilityPlot(log_pops, label=\"data\")\n",
"thinkplot.Config(xlabel=\"Random variate\", ylabel=\"log10 population\", xlim=[-5, 5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random variates\n",
"\n",
"When we have an analytic CDF, we can sometimes invert it to generate random values. The following function generates values from an exponential distribution."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"import random\n",
"\n",
"\n",
"def expovariate(lam):\n",
" p = random.random()\n",
" x = -np.log(1 - p) / lam\n",
" return x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can test it by generating a sample."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"t = [expovariate(lam=2) for _ in range(1000)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And plotting the CCDF on a log-y scale."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cdf = thinkstats2.Cdf(t)\n",
"\n",
"thinkplot.Cdf(cdf, complement=True)\n",
"thinkplot.Config(xlabel=\"Exponential variate\", ylabel=\"CCDF\", yscale=\"log\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A straight line is consistent with an exponential distribution."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Exercises"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"**Exercise:** Write a function that generates a Pareto variate. Generate a sample and plot its complementary CDF on a log-log scale. Does it look like a straight line?"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"# Solution\n",
"\n",
"\n",
"def sample_pareto(alpha, x_m, size):\n",
" u = np.random.random(size)\n",
" return x_m * pow(1 - u, -1 / alpha)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Solution\n",
"\n",
"sample = sample_pareto(1, 2, 1000)\n",
"cdf = thinkstats2.Cdf(sample)\n",
"\n",
"thinkplot.Cdf(cdf, complement=True)\n",
"thinkplot.Config(xlabel=\"Random values\", ylabel=\"CCDF\", xscale=\"log\", yscale=\"log\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [