Robertson_Problem.ipynb 619 KB
Newer Older
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
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "overshootMeasure (generic function with 1 method)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot; plt=PyPlot\n",
    "using PyCall\n",
    "using FastGaussQuadrature, Compat\n",
    "using LinearAlgebra\n",
    "\n",
    "# line cyclers adapted to colourblind people\n",
    "cycler = pyimport(\"cycler\").cycler\n",
    "line_cycler   = (cycler(color=[\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\",\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\"]) +\n",
    "                 cycler(linestyle=[\"-\", \"--\", \"-.\", \":\", \"-\", \"--\", \"-.\", \":\",\"-\", \"--\", \"-.\", \":\", \"-\", \"--\"]))\n",
    "marker_cycler = (cycler(color=[\"#E69F00\", \"#56B4E9\", \"#009E73\", \"#0072B2\", \"#D55E00\", \"#CC79A7\", \"#F0E442\"]) +\n",
    "                 cycler(linestyle=[\"none\", \"none\", \"none\", \"none\", \"none\", \"none\", \"none\"]) +\n",
    "                 cycler(marker=[\"4\", \"2\", \"3\", \"1\", \"+\", \"x\", \".\"]))\n",
    "\n",
    "# matplotlib's standard cycler\n",
    "standard_cycler = cycler(\"color\", [\"#1f77b4\", \"#ff7f0e\", \"#2ca02c\", \"#d62728\", \"#9467bd\", \"#8c564b\", \"#e377c2\", \"#7f7f7f\", \"#bcbd22\", \"#17becf\"])\n",
    "\n",
    "plt.rc(\"axes\", prop_cycle=line_cycler)\n",
    "\n",
    "include(\"mPDeC.jl\")\n",
    "include(\"mPRK.jl\")\n",
    "\n",
    "function overshootMeasure(u1)\n",
    "    if u1>0.7\n",
    "        return 1.\n",
    "    else\n",
    "        return 0.\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 400x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem=\"Robertson\"\n",
    "folder=\"Simulations/\"\n",
    "order=2\n",
    "mkpath(folder)\n",
    "folder = string(folder,\"Robertson/\")\n",
    "mkpath(folder)\n",
    "\n",
    "function rob_prod_dest(c)\n",
    "    d= length(c)\n",
    "    p=zeros(d,d)\n",
    "    d=zeros(d,d)\n",
    "    p[1,2]=10^4*c[2]*c[3] #\"c[2]\"\n",
    "    d[2,1]=10^4*c[2]*c[3] #\"c[2]\"\n",
    "    p[2,1]=0.04*c[1]\n",
    "    d[1,2]=0.04*c[1]\n",
    "    p[3,2]=3*10^7*c[2]^2 #\"^2\"\n",
    "    d[2,3]=3*10^7*c[2]^2 #\"^2\"\n",
    "    return p, d\n",
    "end\n",
    "function rhs_function(c)\n",
    "    return zeros(length(c))\n",
    "end\n",
    "\n",
    "function SIf(c)\n",
    "    #Production terms\n",
    "    d=length(c)\n",
    "    f=zeros(d)\n",
    "    f[1]=10^4*c[2]*c[3]\n",
    "    f[2]=0.04*c[1]\n",
    "    f[3]=3*10^7*c[2]^2\n",
    "    return f\n",
    "end\n",
    "function SIg(c)\n",
    "    #Destruction terms divided by c\n",
    "    d=length(c)\n",
    "    g=zeros(d)\n",
    "    g[1]=0.04\n",
    "    g[2]=10^4*c[3]+3*10^7*c[2]\n",
    "    g[3]=0\n",
    "    return -g\n",
    "end\n",
    "\n",
    "\n",
    "T_0  = 10^-12\n",
    "T_end = 10^10\n",
    "\n",
    "\n",
    "ep=1e-16\n",
    "u0=[1-2*ep; ep; ep]\n",
    "\n",
    "\n",
    "N=3001\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "tref,uref= mPRK22(rob_prod_dest, rhs_function, tt,u0, 1.)\n",
    "plt.figure(figsize=(4,3))\n",
    "plt.semilogx(tref,uref[1,:],label=L\"u_1\")\n",
    "plt.semilogx(tref,10^4 .*uref[2,:],label=L\"10^4 u_2\")\n",
    "    plt.semilogx(tref,uref[3,:],label=L\"u_3\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"RobertsonRef.pdf\")\n",
    "ep=1e-180\n",
    "u0=[1-2*ep; ep; ep]\n",
    "N=21\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MPRK 22 with very low initial condition $\\varepsilon=10^{-280}$ and $N=101$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAG2CAYAAACtaYbcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAABY0ElEQVR4nO3deXxU1d0/8M+dfbJM9oTsYZc9EgTZVFBDwWLdkLohFKnU+uMRpCrlKVasTVVq6VMFbdGqFRVFwaUUTFvWsAkkCBKQJSGQfSGZbLPe+/sjySQhC5lkJjcz83n7ykty58yd751MMp8599xzBEmSJBARERHJRCF3AUREROTbGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiEh2v/3tbyEIQpsvnU7X5X0cO3YMt912GwICAhAcHIx77rkHFy5ccGPVROQqKrkLICJqsn37dgQFBTm+Vyi69nnp9OnTuOWWW5CcnIxPPvkEJpMJq1atwtSpU5GVlYWIiAh3lUxELsAwQkR9RkpKCsLDw52+36pVq6DVavH111/DYDA49jV48GCsWbMGL7/8sqtLJSIX4mkaIuqSr7/+GikpKdDpdEhISEBaWhoA4I477sD8+fNlq8tms+Hrr7/Gvffe6wgiAJCYmIhp06Zhy5YtstVGRF3DMEJE17Rlyxbceeed6N+/P7Zu3YpFixbh17/+Nf7yl78gPT0dc+bMAQBIkgSbzdalr/aMGjUKSqUSUVFRmDdvHvLy8q5Z2/nz51FfX4/Ro0e3uW306NE4d+4cTCZTz54AInIrnqYhomtatWoVYmJi8PHHH0OlUuFHP/oRDhw4gGeeeQb+/v64/fbbAQDvvfceFixY0KV9SpLk+PfAgQPx0ksv4frrr4dOp8Phw4fxyiuv4JtvvsHRo0cRGxvb4X7Ky8sBAKGhoW1uCw0NhSRJuHLlCqKjo505ZCLqRQwjRNSp6upqnDx5Er/4xS+gUjX/yZgxYwb+9a9/Ye7cudBoNACA2bNn49tvv3X6MR555JFW30+bNg3Tpk3DxIkT8corr+DPf/7zNfchCEK3biMi+TGMEFGnqqurAaBN78TYsWMBwHGKBmjoiWh5NUxPjB8/HkOGDMHBgwc7bRcWFgaguYekpYqKCgiCgODgYJfURETuwTEjRNSpqKgoqFQqVFZWttqek5MDAK3e6N977z2o1eoufXWFJEnXvLx34MCB0Ov1OHHiRJvbTpw4gUGDBjk1XwkR9T72jBBRp5RKJUaPHo2MjIxW299//30AwPHjxzF58mQA3T9N056DBw/i7NmzWLJkSaftVCoVZs+ejc8//xyvvPIKAgMDAQB5eXnYuXMnli5d6pJ6iMh9BKnlKDIionZs3rwZc+bMwR/+8AcsXrwYW7duxcKFC5GSkgJRFLFnzx7o9fpu73/MmDF4+OGHMWzYMMcA1ldffRV+fn44cuRIq8GngwYNAgCcO3fOse306dO44YYbMHbsWDz33HOOSc8qKio46RmRB2AYIaIueeutt/Daa68hJycHwcHBSEtLw/Tp0/HAAw/g8OHDuHDhApKSkrq17wceeABHjhxBYWEhLBYLYmJiMHPmTKxatarNVTBNj5Gbm9tq+9GjR/Hss8/iwIEDUKlUmD59OtasWYOBAwd2qyYi6j0MI0RERCQrDmAlIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcnKI2ZgFUURBQUFCAwM5IJXREREHkKSJFRXVyMmJqbTpR08IowUFBQgPj5e7jKIiIioGy5duoS4uLgOb/eIMNK01sSlS5dgMBhkroaIiIi6wmg0Ij4+3vE+3hGPCCNNp2YMBgPDCBERkYe51hALDmAlIiIiWTGMEBERkawYRoiIiEhWDCNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsnA4je/bswezZsxETEwNBELB169Zr3mf37t1ISUmBTqfDgAED8Oabb3anViIiIvJCToeR2tpajBkzBq+//nqX2ufk5GDWrFmYOnUqMjMz8etf/xpLlizBZ5995nSxRERE5H2cXihv5syZmDlzZpfbv/nmm0hISMDatWsBAMOGDcORI0ewZs0a3Hvvvc4+vEvZay9DtBplrYGoazpfZKp1SwEQhIb7NP0fAiAoHNuENrdd1a6pTcvbFCoIKn8IAs/ukucrrq9Gnc0CAJBabJek5u9abk8MCIFaoQQAlJpqcMVcjxCtHhG6AACAVbTjvLG88X4t79m5pIBQ6FVqAEC5qRYlphoEaXSI8QsCAIiSiNNVJc4eHuL9gxGo1gEAKs31KKivQoBKi4SAEEeb7MpiR60t28vB7av2HjhwAKmpqa22zZgxA2+//TasVivUanWb+5jNZpjNZsf3RqN7AoPxyDMw5Xzkln0TeScBgjoQgtoAhcYAQd3wpVAbIGga/9+0rZ3bHf9WB0JQeMSi4eRl9hfnYsG+TfjBWOrU/XLu+zWSAkMBAK+c2Ik1J3dj+cib8eoNswEA+bVVGLblFafrOfTjJRgfkQAAeOfsYTxz5J94dNA4vDv1pwAAk92GEVvWOL3fr2/7Ge6IHw4A2Jp3Egv2bcLM2OuwLfUxR5txX61Fnc0KAPjy1gWYnTDC6cdxFbf/NSgqKkJUVFSrbVFRUbDZbCgrK0N0dHSb+6SlpeGFF15wd2lQqAOh0Ia7/XGIrubMJyc401aSGto3/f+qf0uS2OFtzf++RuVWIySrEWKdE4fQDkHl5wgr2phUBI79HRSaoJ7tlKiFM1Ul2HrxJIYGReKuxJEAgFh/A34wlkIhCNArmz8MCy16H1uudt+0veU2vVKNYI2+1f0VgoBQrV+L+3WNqkVPo16pRpjWDwEqTas2Ya3227U9a1qEfa1ShXCtPwya1j0f4Vp/1CkbwohGKe+HA0Fq2Sfl7J0FAVu2bMFdd93VYZshQ4ZgwYIFWLFihWNbRkYGpkyZgsLCQvTr16/NfdrrGYmPj0dVVRUMBkN3yyWiLpA6CDSSaIVkrW4IIo2BRLK0+LfVCNFi7OT26obTonZTu4+r8ItD0KS3oIub1ZuHS16kqM6IALUWAWotgIYejGeP/BM/jh+Gr25b6Gj3r8vZmBiRhGCtXq5SfYbRaERQUNA137/dHoX69euHoqKiVttKSkqgUqkQFhbW7n20Wi20Wq27SyOidgiO8SZXbVdqALU/gLYfIJwh2S2OYCJZjbBX58B45FewV5/DlX/fAf3AeTCM/xMU2tAePQ55P5PNioySXOzIP4Md+Wfw3ZVC/OOmB/DwwBQAwMzY65BRnIs7E4a3ut/MuGFylEudcHsYmThxIr766qtW27755huMGzeu3fEiROTdBKUGgjIMCl3DhxF16BhoY1NRnfkb1H7/J9Sffx/m/B0ImrgeusS7Za6W+hJJknC6qgQ78s/gm/wfsKvoPOrt1lZtTlc2D/YcFRqNL25b0NtlUjc4HUZqampw7tw5x/c5OTnIyspCaGgoEhISsGLFCuTn5+P9998HACxevBivv/46li1bhkWLFuHAgQN4++238dFHHDhKRA0ElR8MN/wRusQ5qMr4GWxV2biy8x7oku6HYcJfoNRHyl0iyaTCXIf/FJxtCCAFP+BSbWWr26P1BqTGDsGM2KG4LWaw4+oW8ixOjxnZtWsXpk2b1mb7o48+infffRfz589Hbm4udu3a5bht9+7dWLp0Kb7//nvExMTg2WefxeLFi7v8mF0950REnk+ymVD93YuoPfEyINmh0IbDMOEv0PWf23gKiXzFiiPb8MrJnRBbvE1plSrcFDUAqTENAWRkSD++Lvqwrr5/92gAa29hGCHyPdbyY6jctwC2K98BALTxP0HQxPVQ+rW9Ao88X051OT7LPYH7kkY7LqH94PxRPLLnIwwPjsKM2KGYETsUU6P6w++qq02o72IYISKPJ9ktqDn5MmqOvwiIVgiaYBhu+BP0gx7lp2Evc9v2t/CfwrN4edwdeGZUQ+97rdWMCnM94gOC5S2Ouq2r79+cSpGI+ixBqUHgmN8gfPZRqMPGQbJUoipjAa6kz4S9Jk/u8qgbsiuL8WJWOq7/4jUU1jVPaPnTAcmYHj0Igw3Ncz/5q7UMIj6CPSNE5BEk0Yba719DdeYqQDRDUAUgcNyr8Bv6c05R34dJkoSTV4qw+eJ32Jz7HU5VFjtue/3Gu/HLYZNlrI7cjadpiMgr2arOoDLjZ7CW7AcAaPpNQ9Ckv0FlGChzZdREkiRkluc7AshZY5njNrVCidtjBuO+pNH4ScLIVrOWkvdhGCEiryWJdtSdfgPVx1ZAstVBUPkhcOzv4XfdkxAaFzOj3iVJEr4tu4TNuQ0BJKemwnGbVqnCj2KH4t7E0ZgdP5wzn/oQhhEi8nq26guoyngMlqKdAAB15CQET3obquDrZK7M9yw5uBV/yd7n+F6vVGNW3HW4L2k07ogfJuuKsCSfPjMdPBGRu6gCByB0xr9R98PfUH3kV7CW7Efpl8kIvP4F+I94misD96LbYgbjnbOH8eP44bgvaRRmxl4HfzWX9aCuYc8IEXkFe00eqvb/HOaCHQAAdVgKgqb8HeqQUTJX5husoh02UYRexWU+qBkv7SUin6IMSEDI7f9C0JR3IWiCYS0/irKvUmAp+1bu0rzW0kNfYHXWNzBaTFArlAwi1G0MI0TkNQRBgN+gRxFx1ymoI6cAohWmCx/KXZZXOm8sw/9l78Pzmd8gu6r42ncg6gRPqBKR11H6RcNv6OOoKtkHS+khucvxSv0DQ/HhTQ/hQOlFTIhIlLsc8nAMI0TklTQREwA0rHEj2S0QlFzPxJUUggJzByRj7oBkuUshL8DTNETklZSBgyBoQwHRDOuV43KX41UsdpvcJZCXYRghIq8kCAI04Y29IzxV4zJHyy4j8dOX8EZ2htylkBdhGCEir6WOYBhxtd8c246i+mocKuVCheQ6DCNE5LXUjT0jljKGEVfIKM7Bv/JPQykosCr5drnLIS/CMEJEXksTMR4AYDeehWgql7kaz/ebY9sBAAsG34BBhnCZqyFvwjBCRF5LoQ2F0jAEAGApOyxzNZ7tvwVnsbPoPDQKJX4z5ja5yyEvwzBCRF5Nw3EjPSZJEn6T2TDN/s+H3oiEgBCZKyJvwzBCRF6tadyIleNGum17/mnsL8mFTqnCr0ffKnc55IUYRojIqzVdUWMpPQQPWBe0z5EkCf/bOFbkyWGTEe3HxUrJ9RhGiMirqUNGA0odJMsV2I1n5S7H42zNO4lj5fkIUGnxzKhpcpdDXophhIi8mqDUQB02FgAv8XWWKIlYdaxhrMhTI6YiQhcgc0XkrRhGiMjrcSbW7vkk5zhOVhYhSKPDshE3yV0OeTGGESLyepyJtXteb5zyffmIWxCi9ZO5GvJmXLWXiLye44qaiixItnoIKr3MFXmGf6U+hnXZ+/HEsElyl0Jejj0jROT1lAGJUOiiAMkGa0Wm3OV4jEC1Ds+Ono5AtU7uUsjLMYwQkdcTBKHVJb7UuYs1FbwMmnoVwwgR+QTOxNo1JpsVk//5Bm746s/Ira6QuxzyERwzQkQ+gTOxdk1mRT6qLCYoBIETnFGvYRghIp+gDr8BgAB7TS7s9cVQ6qPkLqlPmhiZhAtzVuC8sRxaJd8iqHfwNA0R+QSFxgBV8HAAPFVzLRG6ANwYmSh3GeRDGEaIyGc4BrHyVE0bVZZ67Cw8J3cZ5KMYRojIZ3Am1o6t/X4vpm9/E49nbJa7FPJBDCNE5DMcM7GWHYYk2mWupu8oN9Xite/3AABuixksczXkixhGiMhnqIJHQFD5Q7JWw1Z1Wu5y+ow1J3fDaDVhTGgM7k0aJXc55IMYRojIZwgKFdRh4wDwEt8mxfXV+L/svQCAF6+fAYXAtwXqfXzVEZFP4aJ5rf3hu/+izmbF+PB4/Dh+uNzlkI9iGCEin8Jp4Ztdrq3E+jMHAAC/GzsTgiDIXBH5KoYRIvIpTVfU2CpPQLTWyFyNvH7/3X9gtttwU9QADlwlWTGMEJFPUfrHQuEXB0girOVH5S5HNjnV5djww2EAwItjZ7BXhGTFMEJEPoeL5gEvHv83rKIdt8cMwU39BspdDvk4hhEi8jnN8434Zhj5oaoU7507AqChV4RIbgwjRORzmlbwtZQelLkSefw26xuIkoTZ8cMxIYJr0JD8GEaIyOeow1IAQQmxrgD22styl9Or7KIIAFAIAlZfz14R6hsYRojI5yjU/lCFNMw06muX+CoVCnx480PIue/XSA6LlbscIgAMI0TkoxyL5vnouJGEgBC5SyByYBghIp/kizOxvnZyNy5Ul8tdBlEbDCNE5JMcYaT8CCTRJnM17re/OBdPf/sVRmx5FeWmWrnLIWpFJXcBRERyUAVdB0FtgGQ1wnblJNRhyXKX5FYGjRYzYoci3j8YYTp/ucshaoVhhIh8kiAooA4fD0vhv2EpO+T1YWRkSDS2py6CVbTLXQpRGzxNQ0Q+yxdnYlUrlHKXQNQGwwgR+SxfmYn1QEkuTleWQJIkuUshahfDCBH5LLVjBd9siJYqmatxn18e2IJhW17BZxe/k7sUonYxjBCRz1LqI6EM6A9AgrXsW7nLcQujxYTjVwoAAJMik+QthqgDDCNE5NOaTtV460ys+0tyIUoSBgSGIcYvSO5yiNrVrTCybt069O/fHzqdDikpKdi7d2+n7Tdu3IgxY8bAz88P0dHRWLBgAcrLOfEOEcnP22di3VucAwCYGtVf5kqIOuZ0GNm0aROeeuoprFy5EpmZmZg6dSpmzpyJvLy8dtvv27cP8+bNw8KFC/H999/j008/xbfffovHHnusx8UTEfVU80ysB71ygOfe4gsAGEaob3M6jLz22mtYuHAhHnvsMQwbNgxr165FfHw81q9f3277gwcPIikpCUuWLEH//v0xZcoUPP744zhy5EiPiyci6il16PWAQg3RVAp7Ta7c5biU2W7D4bJLAIApDCPUhzkVRiwWC44ePYrU1NRW21NTU7F///527zNp0iRcvnwZ27ZtgyRJKC4uxubNm3HHHXd0+DhmsxlGo7HVFxGROwgqHdShyQC8b76RI2WXYLbbEKkLwBBDhNzlEHXIqTBSVlYGu92OqKioVtujoqJQVFTU7n0mTZqEjRs3Yu7cudBoNOjXrx+Cg4Pxl7/8pcPHSUtLQ1BQkOMrPj7emTKJiJyi9tJxI03jRaZE9YcgCDJXQ9Sxbg1gvfpFLUlShy/0U6dOYcmSJVi1ahWOHj2K7du3IycnB4sXL+5w/ytWrEBVVZXj69KlS90pk4ioS7z1ihqOFyFP4dTaNOHh4VAqlW16QUpKStr0ljRJS0vD5MmT8atf/QoAMHr0aPj7+2Pq1Kn43e9+h+jo6Db30Wq10Gq1zpRGRNRtjmnhy49BslsgKDUyV9RzdlFERkkuAGBq1AB5iyG6Bqd6RjQaDVJSUpCent5qe3p6OiZNmtTuferq6qBQtH4YpbJhbQRvHLlORJ5HGTgIgjYUEM2wXjkudzku8X1lEaosJgSotBgT2vZDH1Ff4vRpmmXLlmHDhg145513kJ2djaVLlyIvL89x2mXFihWYN2+eo/3s2bPx+eefY/369bhw4QIyMjKwZMkSjB8/HjExMa47EiKibhIEoXm+ES85VdM0XmRiZCJUXByP+jinTtMAwNy5c1FeXo7Vq1ejsLAQI0eOxLZt25CYmAgAKCwsbDXnyPz581FdXY3XX38dTz/9NIKDgzF9+nS8/PLLrjsKIqIeUkdMgDn/Xw1hZNiTcpfTY1qlCtcFReImnqIhDyBIHnCuxGg0IigoCFVVVTAYDHKXQ0ReyHR5O678eyaUgYMQee9ZuctxGVESoRC48gfJo6vv33yFEhEB0ESMBwDYq89BNHnPchUMIuQJ+ColIgKg0IZCaRgCALCUHZa5mp6pMNfBKtrlLoOoyxhGiIgaOS7x9fBBrM8e+SeCN/4v3jp9QO5SiLqEYYSIqJG3zMR68koR6mxWxPhxjB15BqevpiEi8lYtZ2LtbGbpvi7jjl8iu7IEiQEhcpdC1CXsGSEiaqQOGQ0otJAsV2A3eu4VNQpBgREh/RCg5kzW5BkYRoiIGglKDdThKQAAi4efqiHyJAwjREQtePpMrD/599/x4O6NOGcsk7sUoi5jGCEiakHtuKLmoMyVOK/aasLXl0/howuZ0Ck5JJA8B8MIEVELjitqKo5DstXLXI1zDpbkQZQkJAaEIM4/WO5yiLqMYYSIqAVlQCIUukhAssFakSl3OU7ZW3wBADA1qr/MlRA5h2GEiKgFQRCgjrgRQMMlvp6kaaXeqVwcjzwMwwgR0VU8cSZWi92GQ6UNK6azZ4Q8DcMIEdFVHONGPGgQ67HyfNTbrQjT+uG6oEi5yyFyCsMIEdFV1OE3ABBgr70Ie32x3OV0SdN4kSlR/T125ljyXQwjRERXUWgMUAUPA+A5p2qax4vwFA15HoYRIqJ2OAaxesBMrKIkIqMkF0BDzwiRp2EYISJqhyfNxJpdWYIKcx38VGqMDYuTuxwipzGMEBG1wzETa9lhSKJd5mo61zRe5MaIRKgVSpmrIXIewwgRUTtUwSMgqPwgWathqzotdzmd4ngR8nRcvICIqB2CQgV12A2wFO+GtewQ1CEj5C6pQ6+M+zF+HD8cY0Kj5S6FqFvYM0JE1AG1h0x+FusfhAcGXI/hwf3kLoWoWxhGiIg60BRGLB40+RmRJ+JpGiKiDjRdUWOrPAnRWgOFOkDmitpal50Bo9WMOUmjMdAQLnc5RN3CnhEiog4o/WOh8IsFJBHW8qNyl9OuN07vx4qj23DiSpHcpRB1G8MIEVEnNI2Tn/XFcSOSJGHRkAm4J3EUJzsjj8YwQkTUieb5RvpeGBEEAU+NuAmfTX8U4Tp/ucsh6jaGESKiTjSt4MtBrETuwzBCRNQJdVgKICgh1hXAXntZ7nJa+Srve5w3lkGSJLlLIeoRhhEiok4o1P5QBY8EAFj60LiRWqsZ9/z3PQz67A/Iq70idzlEPcIwQkR0DY5BrH1o3Mih0jzYJBFxfkFI8A+RuxyiHmEYISK6huaZWPvOuBHHejT9BkAQBJmrIeoZhhEiomtwhJHyo5BEm8zVNNhX0hBGpkQmyVsIkQswjBARXYMq6DoIagMkWx1sV07KXQ5soh0HSi4CAKZGDZC5GqKeYxghIroGQVBAHX4DAMDSB8aNZJbno9ZmQYhGjxEhUXKXQ9RjDCNERF3Ql2ZibRovMjkqCQqBf8bJ8/FVTETUBX1pEOu+psGrPEVDXoJhhIioC5pmYrVVnYZoqZKtDkmSWgxe5Xo05B0YRoiIukCpj4QyIAmABGvZt7LVcaaqFKWmWuiUKowLj5OtDiJXYhghIuoideO4ETlnYm3qFZkQkQCNUiVbHUSuxDBCRNRFmnD5x43sLboAgONFyLswjBARdZFjEGvZIdkWp4v1D8LAwDBMjeJ4EfIeguQByz0ajUYEBQWhqqoKBoNB7nKIyEdJNhOKPjQAohUR916AKlC+QCBJEqeBpz6vq+/f7BkhIuoiQaWDOmQMAPnnG2EQIW/CMEJE5AS1jCv4FtRVwS6Kvf64RO7GMEJE5ISmcSMWGQax/uibDQj58DeOQaxE3oJhhIjICY5p4cuP9erkZ/U2Ky7VVqLaasaQoIhee1yi3sAwQkTkBGXgQKiChwOiBaaLn/Xa4+pVapQ98AJO3PU0ovSBvfa4RL2BYYSIyAmCIEA/4GEAQP2Fjb362EqFAiNDonv1MYl6A8MIEZGTdAMeBABYCnfCXntZ5mqIPB/DCBGRk1QBidBETQUgoT7nI7c/nslmxfDPX8H8vR+jzmZx++MR9TaGESKibnCcqjnv/lM1h8vykF1Vgh35Z6BXqt3+eES9jWGEiKgbdEn3AQo1bFeOw3rlhFsfa29xw+J4U6P6c7Iz8koMI0RE3aDQhkIbdwcA9/eONIcRLo5H3onrTxMRdZN+wMMw521Ffc6HCEz5PQTB9Z/v7KKI/SW5AMDF8brJbrfDarXKXYZXUqvVUCqVPd4PwwgRUTfp4u6AoA6CWHsJluK90Pa72eWPcbyiANVWMwxqHUbxsl6nSJKEoqIiVFZWyl2KVwsODka/fv16dAqxW2Fk3bp1ePXVV1FYWIgRI0Zg7dq1mDp1aoftzWYzVq9ejQ8++ABFRUWIi4vDypUr8bOf/azbhRMRyU1Q6aBLug/1Z99G/fkP3BJG9pU0nKKZFJkIpYJn1p3RFEQiIyPh5+fH8TYuJkkS6urqUFJSAgCIju5+WHY6jGzatAlPPfUU1q1bh8mTJ+Ott97CzJkzcerUKSQkJLR7n/vvvx/FxcV4++23MWjQIJSUlMBms3W7aCKivkI/4GHUn30bptxPIU34CwSVzqX753iR7rHb7Y4gEhYWJnc5Xkuv1wMASkpKEBkZ2e1TNk6Hkddeew0LFy7EY489BgBYu3YtduzYgfXr1yMtLa1N++3bt2P37t24cOECQkNDAQBJSUndKpaIqK/R9LsJCr84iHWXYcrfBn3iPS7btyRJra6koa5rGiPi5+cncyXer+k5tlqt3Q4jTvX5WSwWHD16FKmpqa22p6amYv/+/e3e58svv8S4cePwyiuvIDY2FkOGDMHy5ctRX1/f4eOYzWYYjcZWX0REfZEgKKBvnJG1/vwHLt33OWMZiuuroVEocUN4vEv37St4asb9XPEcOxVGysrKYLfbERUV1Wp7VFQUioqK2r3PhQsXsG/fPpw8eRJbtmzB2rVrsXnzZvzyl7/s8HHS0tIQFBTk+IqP5y8hEfVd+oENE6CZL/8TovmKy/bb1CsyPiIBOhUnOyPv1a3RUFenIEmSOkxGoihCEARs3LgR48ePx6xZs/Daa6/h3Xff7bB3ZMWKFaiqqnJ8Xbp0qTtlEhH1CnXIKKhCRjWu5LvZZfttGrw6JZKnaMi7ORVGwsPDoVQq2/SClJSUtOktaRIdHY3Y2FgEBQU5tg0bNgySJOHy5fYXmNJqtTAYDK2+iIj6subp4V13qmZvEceLkG9wKoxoNBqkpKQgPT291fb09HRMmjSp3ftMnjwZBQUFqKmpcWz74YcfoFAoEBcX142SiYj6Hv2ABwAIsBTvgb0mzyX73DFjEd6b+lNMYRghL+f0aZply5Zhw4YNeOedd5CdnY2lS5ciLy8PixcvBtBwimXevHmO9g8++CDCwsKwYMECnDp1Cnv27MGvfvUr/OxnP3NcEkRE5OmU/vHQNM4zUn/hQ5fsc0BgGOYNGgeDxrWXC1Pft337duj1+lbTYGRnZ0MQBJSVlclYmXs4fWnv3LlzUV5ejtWrV6OwsBAjR47Etm3bkJiYCAAoLCxEXl7zp4KAgACkp6fj//2//4dx48YhLCwM999/P373u9+57iiIiPoA/YCHYSnahfoLH8B/1LO8kqOPkSQJkq1OlscWVM5NupaVlYURI0ZApVK12hYbG4vw8HB3lCirbs3A+sQTT+CJJ55o97Z33323zbbrrruuzakdIiJvo0u8F1UHn4Ct8nvYrnwHdeiYbu/r6cNfItYvCPMGjUO4zt+FVfouyVaH4o0Bsjx21EM1ENRd/zkeP34cycnJrbZlZmZizJiG19Tdd9+NXbt24dZbb8Xmza4bNC0Xzi1MROQiCm0wdPGzAfRsIKvRYsLaU3vx9LdfwSJytmpflJWV5Qge7W1bsmQJ3n//fTlKcwsulEdE5EL6AQ/DdPEz1Od8hMCUP0BQOD8jpShJSEuZhR+qShHjF3TtO1CXCCo/RD1Uc+2Gbnrsrqqvr8fZs2db9YyIoohjx45h4cKFAIBp06Zh165dLq5SPgwjREQupI2bCUETDLEuH5bi3dBGT3d6H8FaPZ4ZNc0N1fk2QRCcOlUil/Pnz8Nut2Po0KGObTt27EB5eXmb3hJvwdM0REQuJCi10CfdD8D108OTbwgLC4MgCDh8+DAA4ODBg3jyySeh1+sxePBgmatzD4YRIiIXa5oe3nTxM0i2jtfhao/ZbsPG88eQV+O6aeXJs0RHR+PFF1/EvHnzkJCQgHXr1mHOnDkYMWJEtxei6+t4moaIyMXUkZOh9E+AvTYPpstfQ580p8v3PVJ2CQ/v+RAROn8U//S3vDzYR61cuRIrV66Uu4xew54RIiIXEwQFdAMeAuD8qZqmxfGmRg1gEKEOzZgxA3PmzMG2bdsQFxeHb7/9Vu6SeoQ9I0REbqAf+DBqT6TBnP8viKZyKHRhXbrfvmKuR0PXtmPHDrlLcCn2jBARuYE6eDhUocmAaEV97qdduo8oicgoyQUArkdDPoVhhIjITRwr+V7o2qmak1eKUGmpR4BKi+TQGHeWRtSnMIwQEblJ00q+1pIM2Kpzrtm+abzIxMhEqLoxWRqRp2IYISJyE6VfDDSNk551ZSXfL/O+BwDc0m+gW+si6msYRoiI3KjlqRpJkjpsV1RnxL8LzwIA5vb3zlk2iTrCMEJE5Ea6xHsApQ72qtOwVWR22O7jnCyIkoQbIxIx0OB9S8QTdYZhhIjIjRQaA3TxdwLofM6RD84fAwA8PHBsr9RF1JcwjBARuVnT9PD1OR9BEu1tbj9dWYKj5ZehEhS4n6doyAcxjBARuZk2ZgYEbSjE+iJYiv7b5vaNFxp6RWbEDkWELqC3yyOSHcMIEZGbCUoN9ElzAbR/qmZG7FA8MjAFC4eM7+3SiPoEhhEiol7QvJLv55Bsda1umxLVH+/f9ADuThwlR2lEsmMYISLqBeqIiVAG9Idkq4Ep70u5yyEfUVdXh8TERCxfvlzuUjrFMEJE1AsEQYC+aSXfxunhLXYbfn10G7LK8zudg4Sou1566SVMmDBB7jKuiWGEiKiXNIURc/4O2E2l2J5/Bmnf/Rcz0zdAZBghFzt79ixOnz6NWbNmyV3KNTGMEBH1ElXwdVCHpQCSDaacT9BPH4j7kkZjweAboFTwzzE127NnD2bPno2YmBgIgoCtW7e2abNu3Tr0798fOp0OKSkp2Lt3b6vbly9fjrS0tF6quGf46ici6kUtp4cfH5GAT6fNw+9T+v4nV+pdtbW1GDNmDF5//fV2b9+0aROeeuoprFy5EpmZmZg6dSpmzpyJvLw8AMAXX3yBIUOGYMiQIb1ZdrcxjBAR9SJd/58CggLW0oOwGc/LXQ71UTNnzsTvfvc73HPPPe3e/tprr2HhwoV47LHHMGzYMKxduxbx8fFYv349AODgwYP4+OOPkZSUhOXLl+Nvf/sbVq9e7bj/9u3bodfrYbPZHNuys7MhCALKysrce3DtYBghIupFSr9+0ETfho+kkfju1Ptyl+OTTDapwy+LXXJ5W1ezWCw4evQoUlNTW21PTU3F/v37AQBpaWm4dOkScnNzsWbNGixatAirVq1ytM3KysKIESOgUqlabYuNjUV4eO+vjaS6dhMiInKlK3FzsTz/e0jZtbg0shJxAcFyl+RTHt1R2uFt10do8Nz4YMf3P/93KcxtZ/AHAAwPVeP5iSGO75/cWYZqS9vwsemOyG7X2p6ysjLY7XZERUW12h4VFYWioqIu7eP48eNITk5utS0zMxNjxsizHAF7RoiIetlWaxwkCBiPy4g0nZW7HPJQgiC0+l6SpDbbAGD+/PlYs2ZNq21ZWVltgkfLbZcuXcItt9yC4cOHY/To0fj0009dXH1r7BkhIuplG3NPAgDuQTbqz38ATfgNMlfkW96bEdHhbYqr3sv/elvX274+rXdOb4SHh0OpVLbpBSkpKWnTW9Ke+vp6nD17tlXPiCiKOHbsGBYuXAgAUKlUWLt2LZKTk1FSUoKxY8di1qxZ8Pf3d+mxNGHPCBFRL/r+ShGyKgqgFgT8GD/AlPMxJNF27TuSy+hUQodfGqXg8rauptFokJKSgvT09Fbb09PTMWnSpGve//z587Db7Rg6dKhj244dO1BeXu7oGYmOjnaElcjISISGhqKiosJ1B3EVhhEiol7UtELvrLhhCNcFQDSVwFzwb5mror6mpqYGWVlZyMrKAgDk5OQgKyvLcenusmXLsGHDBrzzzjvIzs7G0qVLkZeXh8WLF19z32FhYRAEAYcPHwbQcOXNk08+Cb1ej8GDB7dpf+TIEYiiiPj4eNcd4FV4moaIqJeIkoiN5xvCyEMDU6AL+CnqTr+O+gsfQBf3I5mro77kyJEjmDZtmuP7ZcuWAQAeffRRvPvuu5g7dy7Ky8uxevVqFBYWYuTIkdi2bRsSExOvue/o6Gi8+OKLmDdvHgICAnDLLbdgzpw5+M9//gOlUtmqbXl5OebNm4cNGza49gCvIkgesCCC0WhEUFAQqqqqYDAY5C6HiKhb9hSdx83/Wg+DWoeinz4P5ZVjKP/njRBUfoicWwyFOkDuEr2GyWRCTk6OY4ZScp7ZbMbtt9+ORYsW4ZFHHumwXWfPdVffv3mahoiol2w8nwkAuC9pNPQqNdTh46EMHAjJVgdz3hcyV0fUTJIkzJ8/H9OnT+80iLgKwwgRUS8w2234JPc4AODhgWMBNK3k2zw9PFFfkZGRgU2bNmHr1q1ITk5GcnIyTpw44bbH45gRIqJesO1yNiot9Yj1C8LN/QY4tusHPoSa4y/AXJAOe30xlPprX5pJ5G5TpkyBKIq99njsGSEi6gUfNA5cfXDA9VAIzX96VYbBUIePByQ7TDmb5CqPSFYMI0REblZprsfXl04BaD5F05J+IE/VkG9jGCEicrMgjQ67Zv4CL1yfitGhMW1u1yXNBQQlrGXfwlb1gwwVEsmLYYSIyM0EQcDEyCSsSk5t93alPhLamIbb6i9s7M3SiPoEhhEioj6g5akaD5j+icilGEaIiNxo/en9eDxjM7LK8zttp43/CQSVP+zVF2AtPdRL1RH1DQwjRERutP70Afz1h4P4tuxSp+0Uan/oEu4GAJguftYbpRH1GQwjRERuIkkS/jT+Tvxs8HjclzT6mu01sTMAAJbiPe4ujahP4aRnRERuIggCbo0ZjFtj2q6E2h5N1FQAgLX8GERrLRRqf3eWR9RnsGeEiKiPUAUkQuEfD0g2WMs4boR8B8MIEZEb7C/OxdJDX1xz4OrVNJFTAACW4r3uKIuoT2IYISJyg7fPHsbaU3ux7vR+p+7XdKqGYcS3bd++HXq9HjabzbEtOzsbgiCgrKxMxsrcg2NGiIhczGSzYnPudwDan/69M45xI6UHIYlWCAq1y+vzdbVWs9P30SpVUCmUAACbaIfZboNCUECvav75dLRff7XW6cfLysrCiBEjoFKpWm2LjY1FeHi40/vr6xhGiIhc7OvLp2C0mhDvH4wpUf2duq8qeDgETQgkyxVYK7KgCb/BTVX6roAPVjp9n09ueQRz+o8BAGy5eBL37/oHbu43ALtmPuFok/Tp71Fmrm1zX2nBGqcf7/jx40hOTm61LTMzE2PGjEF1dTWmT58Oq9UKu92OJUuWYNGiRU4/Rl/C0zRERC7WtELvQwPGtlqhtysEQQFNFMeN+LqsrCyMGTOm3W1+fn7YvXs3srKycOjQIaSlpaG8vFymSl2DPSNERC5UYa7DtsunAQAPDby+W/vQRE6B+dJXDWFkxDJXlkcAah5+yen7aJXNb5d3J45EzcMvtQmauXN+3ePaAKC+vh5nz55t1TMiiiKOHTuGhQsXQqlUws/PDwBgMplgt9s9fgkBhhEiIhf6NOc4rKIdY0JjMDIkulv7cIwbKd4HSZIgCIIrS/R53RnD0ZJKoXSMH3HlfpucP38edrsdQ4cOdWzbsWMHysvLHb0llZWVuPnmm3H27Fm8+uqrHj+OhKdpiIhcaOOFhlM0Dw9wbuBqS+qwFECph2gug73qjKtKIw8RFhYGQRBw+PBhAMDBgwfx5JNPQq/XY/Dghgn0goODcfz4ceTk5ODDDz9EcXGxnCX3GMMIEZGL5FZXYG9xDgQIeGBA907RAICg1EATMQEAYCnhuBFfEx0djRdffBHz5s1DQkIC1q1bhzlz5mDEiBFQKlv3yERFRWH06NHYs8ezlxDgaRoiIhf58EImAGBa9EDE+gf1aF+ayCmwFO2CpXgv/IZ49pUS5LyVK1di5cr2r/opLi6GXq+HwWCA0WjEnj178Itf/KKXK3StbvWMrFu3Dv3794dOp0NKSgr27u1acs/IyIBKpWpzuRIRkaeTJAkfnD8KoOEqmp7i5GfUkcuXL+Omm27CmDFjMGXKFDz55JMYPfraCzH2ZU73jGzatAlPPfUU1q1bh8mTJ+Ott97CzJkzcerUKSQkJHR4v6qqKsybNw+33nqrx5/bIiK6WlZFAbKrSqBVqnBv0qge708dOREQFLDX5MJeexlK/zgXVEneICUlBVlZWXKX4VJO94y89tprWLhwIR577DEMGzYMa9euRXx8PNavX9/p/R5//HE8+OCDmDhxYreLJSLqq9ILfgAA3Bk/HEEafY/3p1AHQh3aMO7EUryvx/sj6sucCiMWiwVHjx5Fampqq+2pqanYv7/j9Rf+/ve/4/z583j++ee79DhmsxlGo7HVFxFRX/bMqGn47idPY1Xy7S7bp+NUDQexkpdzKoyUlZXBbrcjKiqq1faoqCgUFRW1e5+zZ8/iueeew8aNG1vNsd+ZtLQ0BAUFOb7i4+OdKZOISBajQqO7PbdIe9RcwZd8RLcGsF49AU9Hk/LY7XY8+OCDeOGFFzBkyJAu73/FihWoqqpyfF26dKk7ZRIR9QqbaHfLfpumhbddOQnRfMUtj0HUFzg1gDU8PBxKpbJNL0hJSUmb3hIAqK6uxpEjR5CZmYknn3wSQMOUtpIkQaVS4ZtvvsH06dPb3E+r1UKrdc1MdkRE7lRns2Dg5jRMjx6EdRPvccl4kSZKfRSUhiGwG3+ApSQDuvgfu2zfRH2JUz0jGo0GKSkpSE9Pb7U9PT0dkyZNatPeYDDgxIkTyMrKcnwtXrwYQ4cORVZWFiZMmNCz6omIZPZN/g8oqq/G/pJcGNQ6l++/+RJfDmLtDlEU5S7B67niOXb60t5ly5bhkUcewbhx4zBx4kT89a9/RV5eHhYvXgyg4RRLfn4+3n//fSgUCowcObLV/SMjI6HT6dpsJyLyRD9JGIFDP16CUlONW9aQ0URNRf3ZtzmI1UkajQYKhQIFBQWIiIiARqPhGj8uJkkSLBYLSktLoVAooNFour0vp8PI3LlzUV5ejtWrV6OwsBAjR47Etm3bkJiYCAAoLCxEXl5etwsiIvIkgiBgfETHcyz1lKZxEKu17FtItnoIKtedBvJmCoUC/fv3R2FhIQoKCuQux6v5+fkhISEBCkX3V5gRJA9Yd9hoNCIoKAhVVVUwGAxyl0NE1GskSULJJ7EQ6wsR+qNd0Pa7We6SPIokSbDZbLDb3TPI2NcplUqoVKoOe526+v7NtWmIiLrpjvQNiNYb8Jvk25AYEOqWxxAEAZqoqTDlfgJL8V6GEScJggC1Wg21Wi13KdQJrtpLRNQNF6rLse3yafz93LdQK5TXvkMPNA1itXIQK3kphhEiom7YeP4YAODW6MGI8evZCr3X4riipnQ/JDfNaUIkJ4YRIiInSZKEjRcawsjDA3u+Qu+1qIJHQlAbIFmrYbty3O2PR9TbGEaIiJx0tPwyzlSVQq9U4+5E909TICiU0EROBsCp4ck7MYwQETnpg8ZTND9JGIFAN0x01p7myc8YRsj7MIwQETnBJtrxcU4WgN45RdOk5UysHjAjA5FTGEaIiJzwXUUhiuurEaTRITV2aK89rjr8BkChhWgqhr36XK89LlFvYBghInLCwdKLAIAJ4Qluv6S3JUGpbQgk4Kka8j4MI0RETjhU2rDcxQQ3TgHfEY4bIW/FMEJE5IRDZX0hjHDyM/IuDCNERF10xVyHM1WlAODWxfE6oomcBECAvfoc7HVFvf74RO7CMEJE1EVZFQ2rvw4MDEOELqDXH1+hCYIqdAwAwFLCUzXkPRhGiIi6aFr0IBTOXYVPbnlEtho0kVMAcNwIeReGESIiJ/TzM2BseJxsj89BrOSNGEaIiDxIUxixXfkOoqVK5mqIXINhhIioC3Kqy/Gjb/6G3x//j6x1KP2ioQwcCEgiLCUHZK2FyFUYRoiIuuBAyUXsyD+DLy99L3cpzeNGOIiVvIRK7gKIiDzBpMgkvHHj3QjS6OUuBZqoqag//x6sHDdCXoJhhIioC5ICQ/HEsMlylwGgxSDW0sOQ7GYISq3MFRH1DE/TEBF5GKVhMBS6SEA0w1p2RO5yiHqMYYSI6BrOG8uw4YdDyK4slrsUAIAgCLzEl7wKwwgR0TX883I2FmV8iuXffiV3KQ4cxErehGGEiOgaDjau1HtjRKLMlTRr7hnJgCTaZa6GqGcYRoiIruFQqXwr9XZEFToGgioAkrUKtsqTcpdD1CMMI0REnSg11eBCdTkAYHx43wkjgkIFdeQkAICleJ/M1RD1DMMIEVEnDjf2igwNikCwVv45RlriIFbyFgwjRESd6IvjRZq0HMQqSZLM1RB1H8MIEVEn+uJ4kSaaiAmAQg2xrgD2mhy5yyHqNoYRIqIOiJKIw2WNYaQPjRdpIqj0UIeNA8BTNeTZGEaIiDrwQ1UZqiwm6JQqjAqNlrucdjWPG+EgVvJcDCNERB04WHoRAJASFge1QilzNe3jIFbyBgwjREQdONSHB6820TRe3ms3noG9vkTmaoi6h2GEiKgDfXnwahOFNhSq4JEAAEsJT9WQZ2IYISJqhyRJuDEyAaNCovt0GAGaT9VYeaqGPJRK7gKIiPoiQRCwbuK9cpfRJZqoqag7s56DWMljsWeEiMjDOXpGKjIhWmtkrobIeQwjRETtuFBdDovdJncZXaL0j4PSPxGQ7LCWHpC7HCKnMYwQEbVj2r/Ww7Dxf3G07LLcpXQJL/ElT8YwQkR0lUpzPWpsFlhFO4YEhctdTpcwjJAn4wBWIqKrBGv1KHvgBeTVXkGgWid3OV2ibgojpYcg2S0QlBqZKyLqOvaMEBG1QxAEJAaEyl1Gl6mCroOgDQPs9bCWH5O7HCKnMIwQEXkBQRCgiZwCALCU8FQNeRaGESKiFuyiiBFbXsX9O99HhblO7nKcwnEj5Kk4ZoSIqIVTlcU4VVmMvJpKBHnIeJEmjjBSkgFJEiEI/LxJnoGvVCKiFg6VNaxHMy48DkqFZ/2JVIddD0HlB8lcAVtlttzlEHWZZ/2mERG5mSes1NsRQaGGOuJGADxVQ56FYYSIqIWDJRcB9O2VejujiWw6VcMwQp6DYYSIqFG11YTvK4sBeHAY4SBW8kAMI0REjY6UXYYECfH+wYj2M8hdTreoI24EBBXE2kuw1+TJXQ5RlzCMEBE1ah4v4pm9IgCgUPtDHTYWAHtHyHMwjBARNWoKI556iqaJJqpx8jOGEfIQDCNERAAkScLB0qbBq553JU1LHMRKnoZhhIgIwKXaShTVV0MpKDA2LFbucnqkqWfEVnkKoqlc5mqIro1hhIgIzadoxoRGw0/l2SveKnThUAUNA9AwGytRX8cwQkQE7xkv0oSX+JIn6VYYWbduHfr37w+dToeUlBTs3dvxi/3zzz/H7bffjoiICBgMBkycOBE7duzodsFERO6wbORN+OSWR7Bg0A1yl+ISag5iJQ/idBjZtGkTnnrqKaxcuRKZmZmYOnUqZs6ciby89q9n37NnD26//XZs27YNR48exbRp0zB79mxkZmb2uHgiIleJ8QvCnP5jcIO39Iw0DmK1lh+FaK2VuRqizgmSJEnO3GHChAkYO3Ys1q9f79g2bNgw3HXXXUhLS+vSPkaMGIG5c+di1apVXWpvNBoRFBSEqqoqGAyeOREREVFvkiQJJZ8mQKy7jNAZ/4E2errcJZEP6ur7t1M9IxaLBUePHkVqamqr7ampqdi/f3+X9iGKIqqrqxEaGurMQxMRuc32y6fx++P/QWZ5vtyluIwgCC3GjeyTuRqizqmcaVxWVga73Y6oqKhW26OiolBUVNSlffzxj39EbW0t7r///g7bmM1mmM1mx/dGo9GZMomInPJxThbeO3cEJrsV13v4Zb0taaKmwpTzEceNUJ/nVBhpIghCq+8lSWqzrT0fffQRfvvb3+KLL75AZGRkh+3S0tLwwgsvdKc0IiKn3Ro9GCa7DdOjB8ldiks1zTdiLT0ASbRBUHTrTz6R2zl1miY8PBxKpbJNL0hJSUmb3pKrbdq0CQsXLsQnn3yC2267rdO2K1asQFVVlePr0qVLzpRJROSURwal4ONbHsYtXhZGVMEjIGhCINlqYa3gRQPUdzkVRjQaDVJSUpCent5qe3p6OiZNmtTh/T766CPMnz8fH374Ie64445rPo5Wq4XBYGj1RUREzhEEBTSRkwHwEl/q25y+tHfZsmXYsGED3nnnHWRnZ2Pp0qXIy8vD4sWLATT0asybN8/R/qOPPsK8efPwxz/+ETfeeCOKiopQVFSEqqoq1x0FEVE3fVdRgB+qSuHkhYUeg4NYyRM4HUbmzp2LtWvXYvXq1UhOTsaePXuwbds2JCY2LCxVWFjYas6Rt956CzabDb/85S8RHR3t+Pqf//kf1x0FEVE3rTi6DUM/fxnrTnftikBP0xRGrCX7vDZwkedzep4ROXCeESJyB0mSEPHR8yg31+Hgj/+fx6/W2x7JbkHRh0GA3YSIu7KhCr5O7pLIh7hlnhEiIm9yoboc5eY6aBRKJId6zyW9LQlKDTThEwAAlhKOG6G+iWGEiHxW0+J4yaEx0Cq997JXLppHfR3DCBH5rKYwcqMXnp5piYNYqa9jGCEin3Ww9CIAYIKXLI7XEXXkREBQwV6TA0vJQbnLIWqDYYSIfJLZbkNWRQEA7w8jCnUg9IMaplyozvyNzNUQtcUwQkQ+KasiHxbRjnCtPwYEhsldjtsFjP4NoFDDUvhvmAt3yV0OUSsMI0Tkk5rGi0yISOjS2lqeThWYBL8hiwA09I54wKwO5EMYRojIJ7UMI74iYPRKQKmDtWQfLAXfyF0OkQPDCBH5JF8MI0q/GPhf9wQA9o5Q38IwQkQ+p8xUi/PV5QCA8eG+E0YAwH/ksxBU/rCWfQvzpa/kLocIAMMIEfmg/LoqDA2KwLCgSARr9XKX06uU+kj4DVsCoKl3RJS5IiKuTUNEPsxst3n1zKsdEc0VKNncH5LViOCbN0Hf/365SyIvxbVpiIiuwReDCAAotKHwH/E0AKA6cxUk0SZzReTrGEaIyKdIkgS7yFMT/sOfgqANhd14BvUXPpS7HPJxDCNE5FPOVJUiaOP/YtY3G3z6ahKFxoCAkc8CAGqyfgtJtMpcEfkyhhEi8imHy/JQa7PAaDX5xGRnnfG77pdQ6KJgr8lB/dm/y10O+TDfPGFKRD7roQFjMTYsFrU2i9ylyE6h9kfA6F/DePh/UH38RegHzoOg0sldFvkg9owQkU9RKhQYGRKNCRGJcpfSJ/gN+TkUfnEQ6y6j7uzf5C6HfBTDCBGRDxNUOgSM+V8AQM3xlyDZ6mSuiHwRwwgR+YyjZZfx8O4P8f65I3KX0qf4DVoAZUB/iKZi1J5+Q+5yyAcxjBCRz9hZeA4bLxzDlosn5S6lTxGUGgQkPw8AqDnxMkSLUeaKyNcwjBCRzzhU5nuL43WVfsBDUBqGQjKXozb7z3KXQz6GYYSIfIYvrtTbVYJChcDrXwAA1J5cA9FcIXNF5EsYRojIJxTWGXGpthICBIwLj5O7nD5JlzQHqpBRkKxG1Hz/R7nLIR/CMEJEPqGpV2RkSD8EqjmXRnsEQYHA618EANSd+jPsplKZKyJfwTBCRD6Bp2i6Rht/J9Rh4yDZalF74mW5yyEfwTBCRD7hYOlFAAwj1yIIAgIae0dqT78Be12BzBWRL2AYISKvZxdFHCm7DACYEM4wci3a2BlQR04G7CbUfPd7ucshH8AwQkRe71RlMWpsZgSotBgeHCV3OX2eIAgIvP53AIC6H/4KW81FmSsib8cwQkRer2l+kRvC46BU8M9eV2ijb4Em+lZAtKLm+Ityl0Nejr+VROT1mgevcnE8ZzRdWVN/7l3YjOdkroa8GcMIEXk9XknTPZrIidDG3QFIdtRkvSB3OeTFGEaIyOv9evR0/L9hUzAxkj0jzgq8fjUAoP7CRlgrT8lcDXkrhhEi8no/HXA9/u/GuxClD5S7FI+jDhsLXeI9ACTUZD4vdznkpRhGiIioUwHJLwAQYLq4GdbyTLnLIS/EMEJEXm3rxZPYV5wDk80qdykeSx0yEroBDwAAqjNXyVwNeSOGESLyWpIk4RcHPsPUbW/gSPllucvxaIFjngcEJcyXv4al5KDc5ZCXYRghIq9Vb7diYkQi4v2DMTYsVu5yPJoqaAj0gx4FAFRn/kbmasjbCJIkSXIXcS1GoxFBQUGoqqqCwWCQuxwiIp9kq85F6ZYhgGhF6I92QdvvZrlLoj6uq+/f7BkhIqIuUQUmwW/IIgBATeZv4AGfZclDMIwQkdcqrq/mG6aLBYxeCSh1sBTvhaUgXe5yyEswjBCRV7KKdiR9+hL6ffwC8mur5C7Hayj9YuA/9BcAgOrM/2XYI5dgGCEir3SiohAmuw0W0Y5oP0525kr+o56DoPKDtexbmC99JXc55AUYRojIKzWt1Ds+PB4KgX/qXEmpj4TfsP8B0HBljSSJMldEno6/oUTkdbZfPo3fH/8PAC6O5y4BI5dDUBtgu/IdTLmb5S6HPBzDCBF5jSvmOizY+zFmpm/A5boqDAgMw+NDJ8pdlldSaEPhP+JpAA2zskqiTeaKyJMxjBCRV/ji4kkM3/Iq3j13BAIEPDV8Kr77yTLE+gfJXZrX8h/+FARtKOzGM6javwiW4gyesqFuUcldABFRT5SaarDk4FZ8nJMFABgaFIF3Js/FpKgkWevyBQqNAYFjVsF4+CnUn3sX9efehUIfDV3ivdAl3QdN5BQICqXcZZIH4AysROSRJEnCp7nH8eTBLSg11UIhCHhm5DQ8n3w7dCq13OX5DEmSYM7/F0w5H8OU9yUka/Nl1ApdJHSJ90CXeB80/W6GoODnX1/T1fdvhhEi8khmuw0jtryK89XlGBUSjXem3I9x4fFyl+XTJLsZ5sL/wJS7GaZLX0AyVzhuE7Rh0CXcBV3ifdBGT4eg1MhYKfUWhhEi8jqSJEGC5LhUd3fReewsPIdfj74VGiU/dfclkmiFpWhXQzC5+DlEc5njNkETDF38T6BLug/amNshKLUyVkruxDBCRF7lcm0lHt+/GTNih2LJ8Klyl0NOkEQbLMV7Ybq4GabczyCaih23CWoDtPGzoU+8D9rYGRBUehkrJVdjGCEir/LW6QNYfOAzhGr9cHHOSgSo+WnaE0miHdbS/ajP3QzTxc8g1uU7bhNU/tDG/bihxyR2JhRqfxkrJVdgGCEij2cXRSgVDadkREnE04e/ws+H3ohhwVEyV0auIEkirKWHGntMNsNem9d8o1IPXdxMaBPuhjYmFUp9pHyFUrcxjBCRxxIlEW9k78dbZw7g4I+XsBfEB0iSBGv5kcYxJpthr77Q6nZV2FhoY2ZAG5MKTeQkDoD1EAwjROSRfqgqxcKMT7CvOAcA8Nr4O7F0xE0yV0W9SZIk2CqyUH9xM8yX/gnbleOtbhdU/tD0mwZtbEM4URoGQxAEmaqlzjCMEJFHsYsiXvt+N1Zl7oDJbkOASotXbrgDjw+9kQvd+Th7XRHMhemw5H8Dc8E3EE0lrW5XBiQ19JjEzoC233QotMHyFEptdPX9u1u/4evWrUP//v2h0+mQkpKCvXv3dtp+9+7dSElJgU6nw4ABA/Dmm29252GJyEt9f6UIk/75Fzxz5J8w2W24PWYITt79NH5x3SQGEYLSrx/8Bj6C4Jv+gci5hQiffQyBKX+Apt80QKGGvSYXdT/8FZU770Xxx+Eo2zYZ1VkvwFJyEJJol7t86gKne0Y2bdqERx55BOvWrcPkyZPx1ltvYcOGDTh16hQSEtqujpmTk4ORI0di0aJFePzxx5GRkYEnnngCH330Ee69994uPSZ7Rog8kyiJMNlt8FM1n9/fV5yD4vpqGK0mGC1m5NRUYN3p/bCKdgRpdHjthjuxYPAN7HanLhGttbAU7YK54BuY83fAbjzT6nZBEwxt9G3QxqZCGzMDygCu4tyb3HaaZsKECRg7dizWr1/v2DZs2DDcddddSEtLa9P+2WefxZdffons7GzHtsWLF+P48eM4cOBAlx7TnWHk+4orKK6v6/D2cL0SqsYPZkaziDqbBD+lBnH+IY4254wlECFhfEQkAjQN01CfqzIir6a6w/2G6ZRQNy7ZUGORUGMVoVWokBgQ5miTU1MGq2jH9eHhCNE2DODLra7GBaOxw/2GaBXQqhr+iNdZJRgtIlSCAgMCIxxt8morYLJbMTI0BJF6PwBAYW0tsisrO9xvkEYBvbphv/VWCVWWhsWwhhiar2rIr6tErc2MwUFBiA8IAACU1dfju4qKtjtsFKhRwL9xvxY7UGFq+BQzMDACysZPxEX1Rhit9UgKCMSAoIaff5XZgqNlpR3u11+tQKCmYb9WO1DeuN9E/zBoGyfHKjPVoMJSi1g/fwwNCW44NpsNB4qL290nAOhUAoK1TVd3ACV1DfuN9wuBvvEN94q5FqXmGkTodBgV1vDzFEURuwoLHfu5+rdOqwJCtM1reBTVNuw3xi8IgWpdwzFb6lFYX4UQrRYpEc0/z50F+bCLDTuUGnfe8B+gUjS8JiQ0BIOSejtEUUK8fyjCdQ0/o0pLHc5UFcOg0eL2uOY/1F9fPI8aq9WxL5toR43NjBqrGXV2EyTBCqPFBKPVjJL6ehitJjzUfzxmxY0CABwuy8V9u97CwMBwnL3vWcd+h3++BtlVRW2e29uir0Nayt0YF9H8O1BaZ4fZ3vGfqLjA5onOyurtMNk6bhsboHQEnPJ6O+o7aRsToISisW2FyY46a8dt+/kroVI0tK002VHTSdsoPyXUyoa2VWYR1ZaOF5WL9FNC09jWaBYdv3MdtdU2tbWIqDR30FYCIv0U0DX+UTNaRFTU2yE139ymXn91c9uSOrvjtduyrSQB0QFKGDQNbStNduQYbRAlNH5JsLf495AQNfr5N/zsSuvsOFJsbm4LCaKExvYSxoRrMTS04e9qhcmO/QVmKAVAIQBKhdD8b0FAokGFaCEfloJvUHl5D86UVUJhrYICNigkGxSwQx0QB13EBIRHpyDU0PBas4pAqanFEgKtgrAAf5WIYI0IQIBNBIrNHSw3IAjwU0kIaWwrSkBhfcdr8+iVEkK1XWurU0oI04qO2vLrOm6rVUgI1zW/BgrqlG1+tk00CgkRjW2VfrFQaFy7sGRX37+dmrLQYrHg6NGjeO6551ptT01Nxf79+9u9z4EDB5Camtpq24wZM/D222/DarVCrW77QzWbzTCbza0Oxl0ez9iGjLJMp+4TpU7CzSH3O77fUvo6rJIF+2Yux+R+/QAATx/6L77M3+fUfoNVkUgNne/4flv5BtTYK/Hh1MV4YNAgAMBLmYew4fx2p/arVwRgdvgTju//U/EBym0FeHXsQ1g+5noAwLrsE/jdic1O7VcBBe6LXO74fl/l5yiwnMPS636C1yY2TEr1ac55PHHoXaf2CwB3hf8PNIqGAPatcTtyTN/hwcRbsXH6TADA3qJCzP7vX5ze78zQxxCoCgUAfFezB6frDiK13wTsmDkHAHDeaMSt3/zJ6f1OD3kI4epYAMCZum9xvGYnUkJG4shd8wEAJru9W/udHHQ3YrWDAQAXTd/jkPGfGOjfH+fu/6WjzYxv3oBVsji133GBMzBAPwYAUGTOwZ6qTxGpiULxQ79ytHloz0cw2iqd2u+Vmmj850LD83DFWg8JEgrq6lu1UUsRCFeroBY0UAkaqAUtojRJCLENwbpjIt6Z0dz2rRNGnCiztvtYSgH4cFbz5Z5//74aR4o7fh42zoxAY07HxtM1yCgwd9j276nh8GsMyZ/+UIv/XjJ12Hb9rWEI1TW8MWw9X4d/5dZ32HbtLaGIbnwT3pZTh63nO/4g9PLUECQZGv4+pufV45Mfajtsu3piiOMNe+9lE97Prumw7coJwRgd3hCcDxWaseFkxx+alqcE4YZ+Db+Hx0sseP14x3+Ll1xvwOSYhuB85ooVrx3ruO3PRwU6wkh+jQ3vnuq43gC1wnFsJXV2/KOTY/vpUH/cPSgRqiGLUBQ1H2/uu9J+w0rg9vw/4Y66PwAAipUDkRba/nsYANxc9yburn0eAHBFEYMXwjp+z5hY/z7m1jT8HtUKwVgZfqbDtuNMn+Lh6icBADZo8GzEpQ7bjjb/Ez8z/szx/XPhBZCE9gPJUMtO/KLqp47vfxN2DmZFYLttB1gPYknlTwAAwTd9BP2An7bbzt2cCiNlZWWw2+2Iimp9jX9UVBSKitp+0gGAoqKidtvbbDaUlZUhOjq6zX3S0tLwwgsvOFNat/mrNNApOp7xz1+tQFNGNtslWEUJepXW8akbAHQKPZSSEmpF87ltP2Xn+/VTKdD4YQoWUYLFLkGv1LXZr00yQ9Nyvyp1p/vVqwQoG5OzVZRgtkvQKVrvV6/SQSfqoVM2v5D1SlWn+9UpBcenP5skwWSToIDyqv1qobPpoW8xLbdWoex0v1qlAHXjfu0SUG9rSOiBGgGaxu1+jT8j/xaLn2musV+NQnB8qhQB1Fkb9hugUSJQ1bTfhuey5SkEpSB0ul+1QnB8ApUA1Dbtt0VPjL9F3Vhv68tR2+63+blTKRp+dk2qLQ2fY/xVzc+xv00FncIP/ipdq734Kf1gFpufc6FxvwIafmaBGgUUQsPWSnPDp84Atcax31pJA4MqBCFXfSIK14RBCRXQeF8BCmgUWqgFDQxqHW6KNcCg1sGg0WLfZRE1FhXCNVEIbHwT91dH4EHdkwjXta73p/E/wfmq9gOGn0rR5vuWr7GWVFedxtGrhA7bXk3nwrYtK9Yqr9G2Rc0aJ9pqlQIMnbRVtihCoxQQ1EnbFi8zaJUNPWdNmh6yqYm6xXudTiUgQq9odXtDe8FRYxN/tQIDglRQCA3Pj0IQGv4tNPw7VNf8mCE6JSZGax23NfRyNLdNMjS/tgM1CkyJ0Tp6WeyS5OhRsUsSIv2aC9YoGu7bslfGLtphs5lgt1ngp9VCITSsZaRCBPylDoILAJ1KAYW+4b1KKYTDX2rs7W2nu0GnlKDQNfRcKmGAv9hxz7BOYXe0FaC+RlsrFNpwx/cB0hWIUvvjqfSCuVVbf1RBJbb/O6eHydFWzmn5nTpNU1BQgNjYWOzfvx8TJ050bH/ppZfwj3/8A6dPn25znyFDhmDBggVYsWKFY1tGRgamTJmCwsJC9GvsSWipvZ6R+Ph4jhkhIiLyIG45TRMeHg6lUtmmF6SkpKRN70eTfv36tdtepVIhLCys3ftotVpotZzkiIiIyBc4dc2cRqNBSkoK0tPTW21PT0/HpEmT2r3PxIkT27T/5ptvMG7cuHbHixAREZFvcfoC/mXLlmHDhg145513kJ2djaVLlyIvLw+LFy8GAKxYsQLz5s1ztF+8eDEuXryIZcuWITs7G++88w7efvttLF++vKOHICIiIh/i1GkaAJg7dy7Ky8uxevVqFBYWYuTIkdi2bRsSExMBAIWFhcjLa17sqH///ti2bRuWLl2KN954AzExMfi///u/Ls8xQkRERN6N08ETERGRW7h1OngiIiIiV2EYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJyejp4OTRNEms0GmWuhIiIiLqq6X37WpO9e0QYqa6uBgDEx8fLXAkRERE5q7q6GkFBQR3e7hFr04iiiIKCAgQGBkIQBLnL6ZTRaER8fDwuXbrkM+vo+OIxA7553L54zIBvHrcvHjPgm8ftzmOWJAnV1dWIiYmBQtHxyBCP6BlRKBSIi4uTuwynGAwGn3khN/HFYwZ887h98ZgB3zxuXzxmwDeP213H3FmPSBMOYCUiIiJZMYwQERGRrBhGXEyr1eL555+HVquVu5Re44vHDPjmcfviMQO+edy+eMyAbx53XzhmjxjASkRERN6LPSNEREQkK4YRIiIikhXDCBEREcmKYYSIiIhkxTDSy+6++26EhITgvvvuc+o2b/KnP/0JI0aMwPDhw7FkyZJrrlngDVQqFZKTk5GcnIzHHntM7nJ6xaVLl3DLLbdg+PDhGD16ND799FO5S3ILX/m9bU9dXR0SExOxfPlyuUtxuzNnzjh+h5OTk6HX67F161a5y3Kbjl7XX3/9NYYOHYrBgwdjw4YNLns8Xk3Ty3bu3Imamhq899572Lx5c5dv8xalpaW48cYb8f3330OtVuOmm27CmjVrMHHiRLlLc6vw8HCUlZXJXUavKiwsRHFxMZKTk1FSUoKxY8fizJkz8Pf3l7s0l/KF39uOrFy5EmfPnkVCQgLWrFkjdzm9pqamBklJSbh48aLXvZ6btPe6ttlsGD58OHbu3AmDwYCxY8fi0KFDCA0N7fHjsWekl02bNg2BgYFO3+ZNbDYbTCYTrFYrrFYrIiMj5S6J3CA6OhrJyckAgMjISISGhqKiokLeotzAV35vr3b27FmcPn0as2bNkruUXvfll1/i1ltv9dogArT/uj58+DBGjBiB2NhYBAYGYtasWdixY4dLHo9hpIU9e/Zg9uzZiImJgSAI7XbBrVu3Dv3794dOp0NKSgr27t3b+4W6kbufg4iICCxfvhwJCQmIiYnBbbfdhoEDB7rwCJzXGz93o9GIlJQUTJkyBbt373ZR5T3Tm6/3I0eOQBTFPrfytq/+zrviuJcvX460tLReqrjnXPmz/uSTTzB37lw3V9x97npdFxQUIDY21vF9XFwc8vPzXVIzw0gLtbW1GDNmDF5//fV2b9+0aROeeuoprFy5EpmZmZg6dSpmzpyJvLw8R5uUlBSMHDmyzVdBQUFvHUaPuPs5uHLlCr7++mvk5uYiPz8f+/fvx549e3rr8NrVGz/33NxcHD16FG+++SbmzZsHo9HYK8fWmd56vZeXl2PevHn461//6vZjcpYrngNP1NPj/uKLLzBkyBAMGTKkN8vuEVf9rI1GIzIyMvp0j5C7XtftjeoQBMElNUOidgGQtmzZ0mrb+PHjpcWLF7fadt1110nPPfecU/veuXOndO+99zp9W29zx3PwySefSE888YTj+1deeUV6+eWXe1yrq7jz597kRz/6kfTtt992t0S3cNdxm0wmaerUqdL777/vijLdqifPQV/6vXVWd477ueeek+Li4qTExEQpLCxMMhgM0gsvvNBbJfdYT37W77//vvTQQw+5u0SXceXrOiMjQ7rrrrsc3y9ZskTauHGjS+pkz0gXWSwWHD16FKmpqa22p6amYv/+/TJV1btc8RzEx8dj//79MJlMsNvt2LVrF4YOHeqOcl3CFcd85coVmM1mAMDly5dx6tQpDBgwwOW1upIrjluSJMyfPx/Tp0/HI4884o4y3cpXf+e7ctxpaWm4dOkScnNzsWbNGixatAirVq2So1yXcOZn3ddP0VxLT17X48ePx8mTJ5Gfn4/q6mps27YNM2bMcEldKpfsxQeUlZXBbrcjKiqq1faoqCgUFRV1eT8zZszAsWPHUFtbi7i4OGzZsgU33HDDNW/rC1zxHNx4442YNWsWrr/+eigUCtx6662488473VGuS7jimLOzs/H4449DoVBAEAT8+c9/dsnoc3dyxXFnZGRg06ZNGD16tOOc9T/+8Q+MGjXK1eW6RVefg77+e+ssV/2t8yRdPeaqqiocPnwYn332WW+X6DI9fV3/8Y9/xLRp0yCKIp555hmEhYW5pC6GESddfX5MkiSnzpl1NvLYVaOS3a2nz8FLL72El156ydVluVVPjnnSpEk4ceKEO8pyu54c95QpUyCKojvK6lXXeg485ffWWV392c+fP7+XKnK/ax1zUFAQiouLe7sst+ju6/rOO+90ywdInqbpovDwcCiVyjafDEpKStokTG/li8+BLx4z4LvH3ZKvPge+eNy+dMx99VgZRrpIo9EgJSUF6enprbanp6dj0qRJMlXVu3zxOfDFYwZ897hb8tXnwBeP25eOua8eK0/TtFBTU4Nz5845vs/JyUFWVhZCQ0ORkJCAZcuW4ZFHHsG4ceMwceJE/PWvf0VeXh4WL14sY9Wu5YvPgS8eM+C7x92Srz4HvnjcvnTMHnmsLrkmx0vs3LlTAtDm69FHH3W0eeONN6TExERJo9FIY8eOlXbv3i1fwW7gi8+BLx6zJPnucbfkq8+BLx63Lx2zJx4r16YhIiIiWXHMCBEREcmKYYSIiIhkxTBCREREsmIYISIiIlkxjBAREZGsGEaIiIhIVgwjREREJCuGESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrP4/nXz3XTd6Ri0AAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for α=[0.7, 1., 5.]\n",
    "    plt.figure()\n",
    "    tout,uu=mPRK22(rob_prod_dest, rhs_function, tt,u0, α)\n",
    "    plt.semilogx(tout,uu[1,:],label=L\"u_1\")\n",
    "    plt.semilogx(tout,10^4 .*uu[2,:],label=L\"10^4 u_2\")\n",
    "    plt.semilogx(tout,uu[3,:],label=L\"u_3\")\n",
    "    plt.legend()\n",
    "    plt.title(\"α=$(α)\")\n",
    "    plt.show()\n",
    "end\n",
    "#tout,uu=dec_correction(rob_prod_dest, rhs_function, tt,u0, 3,4,\"equispaced\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 1.0, '$10^4 u_2$')"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N=21\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "α=10\n",
    "    plt.figure()\n",
    "    tout,uu=mPRK22(rob_prod_dest, rhs_function, tt,u0, α)\n",
    "    plt.semilogx(tref,uref[1,:],label=L\"u_1 ref\")\n",
    "    plt.semilogx(tref,10^4 .*uref[2,:],label=L\"10^4 u_2 ref\")\n",
    "    plt.semilogx(tref,uref[3,:],label=L\"u_3 ref\")\n",
    "    plt.semilogx(tout,uu[1,:],label=L\"u_1\")\n",
    "    plt.semilogx(tout,10^4 .*uu[2,:],label=L\"10^4 u_2\")\n",
    "    plt.semilogx(tout,uu[3,:],label=L\"u_3\")\n",
    "    plt.legend()\n",
    "    plt.title(\"α=$(α)\")\n",
    "    plt.show()\n",
    "plt.figure()\n",
    "\n",
    "    plt.semilogx(tout,10^4 .*uu[2,:],label=L\"10^4 u_2\")\n",
    "plt.title(L\"10^4 u_2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1100x300 with 3 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=20\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "tout,uuRK32=mPRK32(rob_prod_dest, rhs_function, tt,u0)\n",
    "tout,uuRK221=mPRK22(rob_prod_dest, rhs_function, tt,u0,1)\n",
    "tout,uuRK225=mPRK22(rob_prod_dest, rhs_function, tt,u0,5)\n",
    "tout,uuRK220=mPRK22(rob_prod_dest, rhs_function, tt,u0,0.7)\n",
    "\n",
    "fig, axs = plt.subplots(1,3,figsize=(11, 3))\n",
    "coefs=[1, 1, 1]\n",
    "for k=1:3\n",
    "    axs[k].semilogx(tref,uref[k,:]*coefs[k],label=\"reference\")\n",
    "    axs[k].semilogx(tout,uuRK32[k,:]*coefs[k],label=\"RK(3,2)\")\n",
    "    axs[k].semilogx(tout,uuRK221[k,:]*coefs[k],label=\"RK(2,2,1)\")\n",
    "    axs[k].semilogx(tout,uuRK225[k,:]*coefs[k],label=\"RK(2,2,5)\")\n",
    "    axs[k].semilogx(tout,uuRK220[k,:]*coefs[k],label=\"RK(2,2,0.7)\")\n",
    "    axs[k].set_title(\"u$(k)\")\n",
    "    axs[k].set_xlabel(\"Time\")\n",
    "end\n",
    "axs[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"motivationalRobertson.pdf\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1100x300 with 3 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=20\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "tout,uuRK30=mPRK3(rob_prod_dest, rhs_function, tt,u0,0.9,0.6)\n",
    "tout,uuRK32=mPRK3(rob_prod_dest, rhs_function, tt,u0,10.,0.5)\n",
    "tout,uuRKSO2a=mPRKSO2(rob_prod_dest, rhs_function, tt,u0,0.001,10.)\n",
    "tout,uuRKSO2b=mPRKSO2(rob_prod_dest, rhs_function, tt,u0,0.25,2.)\n",
    "\n",
    "fig, axs = plt.subplots(1,3,figsize=(11, 3))\n",
    "coefs=[1, 1, 1]\n",
    "for k=1:3\n",
    "    axs[k].semilogx(tref,uref[k,:]*coefs[k],label=\"reference\")\n",
    "    axs[k].semilogx(tout,uuRK32[k,:]*coefs[k],label=\"RK(4,3,10.,0.5)\")\n",
    "    axs[k].semilogx(tout,uuRK30[k,:]*coefs[k],label=\"RK(4,3,0.9,0.6)\")\n",
    "    axs[k].semilogx(tout,uuRKSO2a[k,:]*coefs[k],label=\"RKSO(2,2,0.001,10.)\")\n",
    "    axs[k].semilogx(tout,uuRKSO2b[k,:]*coefs[k],label=\"RKSO(2,2,0.25,2.)\")\n",
    "    axs[k].set_title(\"u$(k)\")\n",
    "    axs[k].set_xlabel(\"Time\")\n",
    "end\n",
    "axs[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"motivationalRobertson2.pdf\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1100x300 with 3 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u0=[1; 1e-100; 1e-100]\n",
    "N=20\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "tout,uuDeC2=dec_correction(rob_prod_dest, rhs_function, tt,u0, 1,2,\"equispaced\")\n",
    "tout,uuDeC3=dec_correction(rob_prod_dest, rhs_function, tt,u0, 2,2+1,\"equispaced\")\n",
    "tout,uuDeC4=dec_correction(rob_prod_dest, rhs_function, tt,u0, 3,3+1,\"equispaced\")\n",
    "tout,uuDeC5=dec_correction(rob_prod_dest, rhs_function, tt,u0, 4,4+1,\"equispaced\")\n",
    "tout,uuDeC8=dec_correction(rob_prod_dest, rhs_function, tt,u0, 8,8+1,\"equispaced\")\n",
    "tout,uuDeC10=dec_correction(rob_prod_dest, rhs_function, tt,u0, 9,9+1,\"equispaced\")\n",
    "tout,uuDeC11=dec_correction(rob_prod_dest, rhs_function, tt,u0, 10,10+1,\"equispaced\")\n",
    "\n",
    "fig, axs = plt.subplots(1,3,figsize=(11, 3))\n",
    "coefs=[1, 1, 1]\n",
    "for k=1:3\n",
    "    axs[k].semilogx(tref,uref[k,:]*coefs[k],label=\"reference\")\n",
    "    axs[k].semilogx(tout,uuDeC2[k,:]*coefs[k],label=\"mPDeCeq2\")\n",
    "    #axs[k].semilogx(tout,uuDeC3[k,:]*coefs[k],label=\"mPDeCeq3\")\n",
    "    #axs[k].semilogx(tout,uuDeC4[k,:]*coefs[k],label=\"mPDeCeq4\")\n",
    "    axs[k].semilogx(tout,uuDeC5[k,:]*coefs[k],label=\"mPDeCeq5\")\n",
    "    axs[k].semilogx(tout,uuDeC10[k,:]*coefs[k],label=\"mPDeCeq10\")\n",
    "    axs[k].semilogx(tout,uuDeC11[k,:]*coefs[k],label=\"mPDeCeq11\")\n",
    "    #axs[k].legend()\n",
    "    axs[k].set_title(\"u$(k)\")\n",
    "    axs[k].set_xlabel(\"Time\")\n",
    "end\n",
    "axs[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"motivationalRobertson3.pdf\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1100x300 with 3 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u0=[1; 1e-50; 1e-50]\n",
    "N=20\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "tout,uuDeC2=dec_correction(rob_prod_dest, rhs_function, tt,u0, 1,2,\"gaussLobatto\")\n",
    "tout,uuDeC3=dec_correction(rob_prod_dest, rhs_function, tt,u0, 2,2+1,\"gaussLobatto\")\n",
    "tout,uuDeC4=dec_correction(rob_prod_dest, rhs_function, tt,u0, 3,3+1,\"gaussLobatto\")\n",
    "tout,uuDeC5=dec_correction(rob_prod_dest, rhs_function, tt,u0, 4,4+1,\"gaussLobatto\")\n",
    "tout,uuDeC10=dec_correction(rob_prod_dest, rhs_function, tt,u0, 9,9+1,\"gaussLobatto\")\n",
    "tout,uuDeC11=dec_correction(rob_prod_dest, rhs_function, tt,u0, 10,10+1,\"gaussLobatto\")\n",
    "\n",
    "fig, axs = plt.subplots(1,3,figsize=(11, 3))\n",
    "coefs=[1, 1, 1]\n",
    "for k=1:3\n",
    "    axs[k].semilogx(tref,uref[k,:]*coefs[k],label=\"reference\")\n",
    "    axs[k].semilogx(tout,uuDeC2[k,:]*coefs[k],label=\"mPDeCglb2\")\n",
    "    #axs[k].semilogx(tout,uuDeC3[k,:]*coefs[k],label=\"mPDeCglb3\")\n",
    "    #axs[k].semilogx(tout,uuDeC4[k,:]*coefs[k],label=\"mPDeCglb4\")\n",
    "    axs[k].semilogx(tout,uuDeC5[k,:]*coefs[k],label=\"mPDeCglb5\")\n",
    "    axs[k].semilogx(tout,uuDeC10[k,:]*coefs[k],label=\"mPDeCglb10\")\n",
    "    axs[k].semilogx(tout,uuDeC11[k,:]*coefs[k],label=\"mPDeCglb11\")\n",
    "#    axs[k].legend()\n",
    "    axs[k].set_title(\"u$(k)\")\n",
    "    axs[k].set_xlabel(\"Time\")\n",
    "end\n",
    "axs[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"motivationalRobertson4.pdf\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABEEAAAEiCAYAAAAWOcyHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAACPAklEQVR4nOzdeXhU5fXA8e/smWyTjSQEwr4IhE1QCKhEhSCyFlu02IhWUetCEagt2lpsFRQX9CctRUrFCopaRVE0BkUQZI+GXRAIJED2ZbLNPvf3x8BI2CRAcpPJ+TzPPGTmnrn33CG5mZw57/tqFEVREEIIIYQQQgghhAhwWrUTEEIIIYQQQgghhGgIUgQRQgghhBBCCCFEsyBFECGEEEIIIYQQQjQLUgQRQgghhBBCCCFEsyBFECGEEEIIIYQQQjQLUgQRQgghhBBCCCFEsyBFECGEEEIIIYQQQjQLUgQRQgghhBBCCCFEsyBFECGEEEIIIYQQQjQLUgQR4gyffvopd911Fz179sRgMKDRaNROSQghxBkqKip49tlnSUlJIT4+ntDQUHr27Mnzzz+P3W5XOz0hhBBnePLJJ+nbty9RUVEEBQXRoUMH7r//fo4ePap2aqKZ0SiKoqidhBCNyb333sv69evp27cvhw4dIjMzE/kxEUKIxmX37t3ceOONpKWlkZKSQmhoKOvXr+e5555j8ODBrF69WorYQgjRiDz88MO0bduWbt26ERYWxt69e3nmmWfwer3s2bOH6OhotVMUzYQUQYQ4g9frRav1NUk98sgj/OMf/5AiiBBCNDLV1dUAhISE1Hr8xRdf5A9/+APr16/nuuuuUyM1IYQQF+nzzz/n1ltvZfHixfz2t79VOx3RTMhwGNFs3H333bRr1+6sx2fNmlXr08JTBRAhhBDquJjrdUhIyFkFEIBrr70WgNzc3HrNUQghhM/Fvsc+lxYtWgCg1+vrIzUhzkm+24QQQggRMNasWQNAjx49VM5ECCHEubjdblwuFz/88ANTp06lS5cujB8/Xu20RDMiH3kLIYQQIiDs3LmTuXPn8otf/IJevXqpnY4QQogz5OfnYzAYCA4O5uqrr8btdvP1118TGhqqdmqiGZEiiBBCiEbjm2++YfTo0SQkJKDRaPjoo4/q9XinWnVPv8XHx9frMUX9OHLkCKNGjSIxMZF///vfaqcjhBDiHGJiYti2bRsbNmxg0aJFlJaWcuONN5KXl6d2aqIZkSKIEEKIRqO6uprevXszf/78Bjtmjx49yMvL89927drVYMcWV8bRo0e58cYb0ev1fPXVV0RFRamdkhBCiHPQ6/X079+fwYMHc99997FmzRoOHz7Mc889p3ZqohmROUFEsxEUFITD4Tjr8eLiYhWyEUKcy4gRIxgxYsR5tzudTv785z+zbNkyysvLSUpK4vnnnyclJeWSj6nX66X7o5Gpy/X66NGjpKSkoCgKa9eupXXr1g2RohBCiJMu5z1269atSUhI4MCBA/WRmhDnJJ0gotlo164dhYWFFBQU+B9zOp188cUXKmYlhKiLe+65h2+//Zbly5ezc+dOfvWrX3HLLbfw448/XvI+f/zxRxISEmjfvj133HEHhw8fvoIZi0txsdfrnJwcUlJS8Hg8rFmzhrZt2zZ0qkII0exdznvsgwcPcuzYMTp16lSfKQpRi0ZRFEXtJIRoCNnZ2XTt2pXBgwfzhz/8Abvdzv/93/+Rk5NDdnY2p34Ujh49yrZt2wBYvHgx6enpvP/++4DvIt+/f3/VzkGI5kSj0bBixQrGjRsHwKFDh+jcuTPHjh0jISHBHzd06FCuvfZaZs+eXedjfP7559TU1NClSxcKCgp45pln+OGHH9izZw/R0dFX6lREHV3M9bqwsJDk5GSOHz/O4sWL6dixY619tG7dWrpChBCiAVzMNXvnzp089thj/PKXv6RDhw5otVp27drFvHnzcDgcbNu2TQrZosFIEUQ0K59//jlPPPEE+/fvp2XLlkybNo2ioiKefvppfxFkyZIl3HPPPed8/qRJk1iyZEkDZixE83VmEeT9999nwoQJhISE1IpzOByMHz+ed999lyNHjtC+ffsL7vfhhx8+75wj1dXVdOzYkccff5xp06ZdkfMQl+bnrtdr167lxhtvPO/z//rXvzJr1qyGS1gIIZqxn7tmFxQUMGPGDDZt2kReXh5ut5vWrVuTmprKE088QWJiotqnIJoRKYIIIYRolM4sgrz77rvceeed7NmzB51OVys2NDSU+Ph4XC4Xhw4duuB+IyMjiYuLO+/2YcOG0alTJxYsWHDZ5yCEEEIIIRoXmRhVCCFEk9C3b188Hg+FhYVcf/3154wxGAxcddVVl3wMh8PBvn37zrt/IYQQQgjRtEkRRAghRKNRVVXFwYMH/fezs7PJysoiKiqKLl26cOedd3LXXXfx0ksv0bdvX4qLi1mzZg09e/bk1ltvrfPxZsyYwejRo2nTpg2FhYU888wzVFRUMGnSpCt5WkIIIYQQopGQ4TBCCCEajfPN83BqPh6Xy8UzzzzDf//7X44fP050dDTJyck8/fTT9OzZs87Hu+OOO/jmm28oLi6mRYsWDBw4kL///e907979SpyOEEIIIYRoZKQIIoQQQgghhBBCiGZBq3YCQgghhBBCBLLjx4/zm9/8hujoaIKDg+nTpw+ZmZn+7YqiMGvWLBISEjCbzaSkpLBnz55a+3A4HDz66KPExMQQEhLCmDFjOHbsWK2YsrIy0tLSsFgsWCwW0tLSKC8vrxWTk5PD6NGjCQkJISYmhilTpuB0Ouvt3IUQorGRIogQQgghhBD1pKysjMGDB2MwGPj888/Zu3cvL730EhEREf6YuXPn8vLLLzN//ny2bdtGfHw8w4YNo7Ky0h8zdepUVqxYwfLly9mwYQNVVVWMGjUKj8fjj5k4cSJZWVmkp6eTnp5OVlYWaWlp/u0ej4eRI0dSXV3Nhg0bWL58OR988AHTp09vkNdCCCEag4AdDuP1ejlx4gRhYWFoNBq10xFCBBhFUaisrCQhIQGtVurJl0uu2UKI+qTmNftPf/oT3377LevXrz9vbgkJCUydOpU//vGPgK/rIy4ujueff54HHngAq9VKixYteOutt7j99tsBOHHiBImJiXz22WcMHz6cffv20b17dzZv3syAAQMA2Lx5M8nJyfzwww907dqVzz//nFGjRpGbm0tCQgIAy5cv5+6776awsJDw8PCfPR+5Xgsh6lODXK+VAJWbm6sAcpOb3ORWr7fc3Fy1L3cBQa7ZcpOb3BripsY1u1u3bsrUqVOVX/7yl0qLFi2UPn36KK+//rp/+6FDhxRA+e6772o9b8yYMcpdd92lKIqifPXVVwqglJaW1orp1auX8tRTTymKoiiLFy9WLBbLWce3WCzKf/7zH0VRFOUvf/mL0qtXr1rbS0tLFUBZs2bNRZ2PXK/lJje5NcStPq/XAbtEblhYGAC5ubkXVdUWQoi6qKioIDEx0X+tEZdHrtlCiPqk5jX78OHDLFiwgGnTpvHEE0+wdetWpkyZgslk4q677iI/Px+AuLi4Ws+Li4vj6NGjAOTn52M0GomMjDwr5tTz8/PziY2NPev4sbGxtWLOPE5kZCRGo9EfcyaHw4HD4fDfV042kcv1WghRHxrieh2wRZBT7Xnh4eFygRZC1BtpBb4y5JothGgIalyzvV4v/fv3Z/bs2QD07duXPXv2sGDBAu66667z5qYoys/me2bMueIvJeZ0c+bM4emnnz7rcbleCyHqU31er2UguxBCCCGEEPWkZcuWdO/evdZj3bp1IycnB4D4+HiAszoxCgsL/V0b8fHxOJ1OysrKLhhTUFBw1vGLiopqxZx5nLKyMlwu11kdIqfMnDkTq9Xqv+Xm5l7UeQshRGMlRRAhhBBCCCHqyeDBg9m/f3+txw4cOEDbtm0BaN++PfHx8axevdq/3el0sm7dOgYNGgRAv379MBgMtWLy8vLYvXu3PyY5ORmr1crWrVv9MVu2bMFqtdaK2b17N3l5ef6YjIwMTCYT/fr1O2f+JpPJ3/Uh3R9CiEAQsMNhhBBCCCGEUNtjjz3GoEGDmD17NhMmTGDr1q28/vrrvP7664Cv5Xvq1KnMnj2bzp0707lzZ2bPnk1wcDATJ04EwGKxcO+99zJ9+nSio6OJiopixowZ9OzZk6FDhwK+7pJbbrmFyZMns3DhQgDuv/9+Ro0aRdeuXQFITU2le/fupKWl8cILL1BaWsqMGTOYPHmyFDeEEM1Gsy+CeDweXC6X2mmIy2AwGNDpdGqnIYQQQghxlmuuuYYVK1Ywc+ZM/va3v9G+fXteeeUV7rzzTn/M448/js1m46GHHqKsrIwBAwaQkZFRa2LAefPmodfrmTBhAjabjZtvvpklS5bUeg+0bNkypkyZQmpqKgBjxoxh/vz5/u06nY5Vq1bx0EMPMXjwYMxmMxMnTuTFF19sgFdCCCEaB41yaornAFNRUYHFYsFqtZ6zsq0oCvn5+ZSXlzd8cuKKi4iIID4+XiapFA3m564xom7k9RRC1Ce5xlw58loKIepTQ1xjmm0nyKkCSGxsLMHBwfLHcxOlKAo1NTUUFhYCvsnHhBBCNC7vHDzI9yUFzB0wWO1UhBBCCNHMNcsiiMfj8RdAoqOj1U5HXCaz2Qz4ZkiPjY2VoTGizmZs3sDx6gru7dqboa1bqZ2OEAFn4vp/AdAmJIxHknqpnI0QQgghGsJbP+5nxZH93NiyHY82ot//zXJ1mFNzgAQHB6ucibhSTv1fyvwu4lK8fyST5Tlr2Fx4Qu1UhAg4Xq/X//X/juxRMRMhhBBCNKRvCw6z4tg3fJyzW+1UammWRZBTZAhM4JD/S3E5yl0VAHQMj1Q5EyECj/W04nR2VaGKmQghhBCiIel0NgAGxjWu99jNuggihBBur4cqdxUA3SIi1E1GiAAUaTLx2c1TADhhz8fmdquckRBCCCEaQoGtEoB4c9jPRDYsKYI0A4qicP/99xMVFYVGoyErK0vtlIRoNFxehUe63sq41tfTVYogQtSLYa1bYdQE4VZcrDp6VO10hBBCCNEA8m2+DxrjGlkRpFlOjNrcpKens2TJEtauXUuHDh2IiYlROyUhGg2zXs+rg4aonYYQAU2v1dEtvC07rPvZVprNLzt2VDslIYQQQtSz3aXlALg8ZnUTOYMUQZo4p9OJ0Wi8YMyhQ4do2bIlgwYNuuTjKIqCx+NBr5dvGSGEEBdv1vYtzP/hayrc5QDsLj+iaj5CCCGEaBg1nmoAEkMaVyeIDIdpYlJSUnjkkUeYNm0aMTExDBs2jL1793LrrbcSGhpKXFwcaWlpFBcXA3D33Xfz6KOPkpOTg0ajoV27doCvqDF37lw6dOiA2Wymd+/e/O9///MfZ+3atWg0Gr744gv69++PyWRi/fr1F/28r776iv79+xMcHMygQYPYv39/rfNYuXIl/fv3JygoiJiYGMaPH+/f5nQ6efzxx2nVqhUhISEMGDCAtWvX1t+LKpq1Tfn5vPXjfvaVlamdihAB6WBlKSWuYmKDfEvSbyg4gue0FWOEEEIIEXjKHA5cihOATuHhKmdTmxRBTlIUBa+rWpWboih1yvXNN99Er9fz7bff8txzzzFkyBD69OnD9u3bSU9Pp6CggAkTJgDw6quv8re//Y3WrVuTl5fHtm3bAPjzn//MG2+8wYIFC9izZw+PPfYYv/nNb1i3bl2tYz3++OPMmTOHffv20atXr4t+3pNPPslLL73E9u3b0ev1/Pa3v/VvW7VqFePHj2fkyJF8//33/oLJKffccw/ffvsty5cvZ+fOnfzqV7/illtu4ccff6zT6yTExZi7cwt3bVjEIxsz1E5FiIDUP7IXQyIm8EDHsVgMQVS47GwoOKZ2WkIIIYSoRwetvtUXteiIM8twmEZJcddQsCxUlWPH3VmFxhBy0fGdOnVi7ty5ADz11FNcffXVzJ4927/9P//5D4mJiRw4cIAuXboQFhaGTqcjPj4egOrqal5++WXWrFlDcnIyAB06dGDDhg0sXLiQIUN+mh/hb3/7G8OGDavz85599ln//T/96U+MHDkSu91OUFAQzz77LHfccQdPP/20P753796Ab+jOO++8w7Fjx0hISABgxowZpKen88Ybb9Q6TyGuBI/XQKgugrahUWqnIkRA0hNKnLEdfaJCaW1OxOr6kf8e2M+Qlm3UTk0IIYQQ9SS70lcECdGFoNU2rt4LKYI0Qad3TWRmZvL1118TGnp2AefQoUN06dLlrMf37t2L3W73FzdOcTqd9O3b97zHqsvzevXq5f+6ZcuWABQWFtKmTRuysrKYPHnyOc/tu+++Q1GUs/J2OBxER0ef8zlCXI5rIpIxe/pzT8fG1aYnRKCocPq6HcNNGq6Jbs+eih/ZWiwrxAghhBCBLKfKVwQJM6jTaHAhUgQ5SaMPJu7OKtWOXRchIT91jXi9XkaPHs3zzz9/Vtyp4sOZvCfHYq9atYpWrVrV2mYymS54rIt9nsFg8H+t0WhqPd98gXYor9eLTqcjMzMTnU5Xa9u5Cj1CXK4Su+/7MsrcuCrUQgSK9UXfUWTz4FKu5rddryanvAWJQS3xKgrak78fhBBCCBFYcqsrAbDUYcRDQ5EiyEkajaZOQ1Iai6uvvpoPPviAdu3aXfTKLd27d8dkMpGTk1NrCEt9Pe9MvXr14quvvuKee+45a1vfvn3xeDwUFhZy/fXXX/IxhLgYiqJQavcAEB0kRZArZc6cOTzxxBP8/ve/55VXXlE7HaGy9SXrqfZUUuHuyNhW7Uk0K9jcCjkVbtpZDD+/AyGEEEI0OYkhYXQO7UDvyES1UzmLFEGauIcffphFixbx61//mj/84Q/ExMRw8OBBli9fzqJFi87qpgAICwtjxowZPPbYY3i9Xq677joqKirYuHEjoaGhTJo06ZzHutTnnemvf/0rN998Mx07duSOO+7A7Xbz+eef8/jjj9OlSxfuvPNO7rrrLl566SX69u1LcXExa9asoWfPntx6662X9XoJcbrjNTW8X/APgrVhhBunqp1OQNi2bRuvv/56rSFxovlSFAW7twaAtqFh6LQaukYayCpysrfUJUUQIYQQIkDN6N2XGb37/nygCuSjzyYuISGBb7/9Fo/Hw/Dhw0lKSuL3v/89FovlghPQ/P3vf+epp55izpw5dOvWjeHDh/PJJ5/Qvn37Cx7vUp93upSUFN5//31WrlxJnz59uOmmm9iyZYt/+xtvvMFdd93F9OnT6dq1K2PGjGHLli0kJja+KqJo2vaVlmH3VlPttRJskJrw5aqqquLOO+9k0aJFREZGqp2OaAQqXQ48iq/b6qoI37w7IaYytld8wXO7VqmZmhBCCCGaKY1S1/VZm4iKigosFgtWq5XwM9YlttvtZGdn0759e4KCglTKUFxJ8n8qLsUH2fv45drFtA+J4/CEP9TpuRe6xjRXkyZNIioqinnz5pGSkkKfPn3OOxzG4XDgcDj89ysqKkhMTJTXM8Acqiim0wfPYdYZqLlrDgDvHjrIHd/8C5PWTFXaLPTaszsWhbjS5Jp95chrKYS4GA63G9NFTtdwuoa4xshHn0KIZqvM5Zu1upt0LVy25cuX891337Ft27aLip8zZ06tZbJFYCqyVwMQa/5pYusxbdtxa8tB3JTQAY9XQS89qUIIIUTAiX/neao9NSwfci/j23dQO51apAgihGi2jlWXA9A6OELVPJq63Nxcfv/735ORkXHRnVgzZ85k2rRp/vunOkFEYNlaWO77wvvTqmBmvZ5Vt4xXJyEhhBBCNIhqTzUuxUlsUN1WQm0IUgQRQjRb+8rKAWgRJO28lyMzM5PCwkL69evnf8zj8fDNN98wf/58HA7HWZM0m0yms5bWFoHnWJVveTyT9vxLowshhBAisDg8CiOjH8TuraZnVLTa6ZxFiiBCiGYrq6QUAKe76S2P3ZjcfPPN7Nq1q9Zj99xzD1dddRV//OMfz7lKlWge8mxVAEQYa/+MOdxu/vvjAb7OO8LSlFsuOJG3EEIIIZoWq8OLURtEiD6IcGPjKznIuw4hRLNV6vTNCdIxLELdRJq4sLAwkpKSat1CQkKIjo4mKSlJ7fSEiortviJI9BlFEJdX4Xeb/8s7R9ewPj9fjdSEaDCzZs1Co9HUusXHx/u3K4rCrFmzSEhIwGw2k5KSwp49e2rtw+Fw8OijjxITE0NISAhjxozh2LFjtWLKyspIS0vDYrFgsVhIS0ujvLy8VkxOTg6jR48mJCSEmJgYpkyZgtPprLdzF0I0T+UOLwARJi0ajUblbM4mRRAhRLNVcXJi1M6WCHUTESJAlThqAGhx2sSoAKFGA4nBrQD48MiPDZ6XEA2tR48e5OXl+W+nd8/NnTuXl19+mfnz57Nt2zbi4+MZNmwYlZWV/pipU6eyYsUKli9fzoYNG6iqqmLUqFF4PB5/zMSJE8nKyiI9PZ309HSysrJIS0vzb/d4PIwcOZLq6mo2bNjA8uXL+eCDD5g+fXrDvAhCiGZjY8FRMiszyLbvVDuVc2p8vSlCCNEAim02nIpvidbuEbI6zJW2du1atVMQjYDV5VsdJu6MIghA/+j2HKk5yvqCw8CQBs5MiIal1+trdX+coigKr7zyCk8++STjx/smDH7zzTeJi4vj7bff5oEHHsBqtbJ48WLeeusthg4dCsDSpUtJTEzkyy+/ZPjw4ezbt4/09HQ2b97MgAEDAFi0aBHJycns37+frl27kpGRwd69e8nNzSUhIQGAl156ibvvvptnn31WlrsVQlwx35ee4JAtC5O+BrhJ7XTOUqdOkAULFtCrVy/Cw8MJDw8nOTmZzz//3L+9Idv5hBDicuw9eU0xaIzEhzS+WauFCASniiAJ5yiC3JrYEYD9FUfxer0NmpcQDe3HH38kISGB9u3bc8cdd3D48GEAsrOzyc/PJzU11R9rMpkYMmQIGzduBHyTT7tcrloxCQkJJCUl+WM2bdqExWLxF0AABg4ciMViqRWTlJTkL4AADB8+HIfDQWZmZv2dvBCi2bF7Tv7+Dw5TOZNzq1MRpHXr1jz33HNs376d7du3c9NNNzF27Fh/oaOh2vmEEOJyHbCWAxCmb5wXZyECQZg+GLM2hDZhZ/+cjW/XES06arxVbCosvGLHzK6o5KC14ortT4jLNWDAAP773//yxRdfsGjRIvLz8xk0aBAlJSXkn5wTJy4urtZz4uLi/Nvy8/MxGo1ERkZeMCY2NvasY8fGxtaKOfM4kZGRGI1Gf8y5OBwOKioqat2EEOJC9HobAAPjG2e3dZ2Gw4wePbrW/WeffZYFCxawefNmunfv3mDtfEIIcbkOV5QBEGmU9l8h6suPEx467zaLyUhrcwI5tlw+zP6RwecYKlBXxTYbPVa8iILCsQlPEm2WZZiF+kaMGOH/umfPniQnJ9OxY0fefPNNBg4cCHDWxIGKovzsZIJnxpwr/lJizjRnzhyefvrpC+YihBCny7f5miDigs7uBG0MLnliVI/Hw/Lly6muriY5OblB2/nOpblUqQsLC3nggQdo06YNJpOJ+Ph4hg8fzqZNmwBo164dr7zyygX3cfrs5KGhofTu3ZslS5bUilm7di0ajabWMKQTJ06QlJTEddddR3l5OTt27ODXv/41iYmJmM1munXrxquvvnqFz1iI+jGyTQemdB3DfZ0Hqp2KEM1Wv+j2AGwoPHxF9vfEtm+xeauxe2vYVCirzojGKSQkhJ49e/Ljjz/65wk5sxOjsLDQ37URHx+P0+mkrKzsgjEFBQVnHauoqKhWzJnHKSsrw+VyndUhcrqZM2ditVr9t9zc3DqesRCiuTlVBIkPhOEwALt27SI0NBSTycSDDz7IihUr6N69e4O2853LnDlz/HOIWCwWEhMT63pqTcJtt93Gjh07ePPNNzlw4AArV64kJSWF0tLSOu3njTfeIC8vjx07dnD77bdzzz338MUXX5w3/tChQ1x33XW0adOGjIwMIiIiyMzMpEWLFixdupQ9e/bw5JNPMnPmTObPn3+5pylEvRscH8+rg27gT337qZ2KEM3WxI5dAMhz5KIoymXvb5/1p2E1O0qLLnt/QtQHh8PBvn37aNmyJe3btyc+Pp7Vq1f7tzudTtatW8egQYMA6NevHwaDoVZMXl4eu3fv9sckJydjtVrZunWrP2bLli1YrdZaMbt37yYvL88fk5GRgclkol+/8/8uNJlM/vkAT92EEOJC9pRaAXC5zSpncm51Xh2ma9euZGVlUV5ezgcffMCkSZNYt26df3tDtfOdaebMmUybNs1/v6KiIuAKIeXl5WzYsIG1a9cyZIhvJv22bdty7bXX1nlfERER/k8fnnjiCV566SUyMjIYPnz4WbE7d+5k+PDhpKSk8N///heDwQDAb3/721pxHTp0YNOmTXz44Yc88sgjdc5JCCFE4Pj06FHuWv82bYPj+H78b88ZMyKxPXqNltzqco5UldI+LPqyjrl+9ETilh2n0FnAvnIpgojGYcaMGYwePZo2bdpQWFjIM888Q0VFBZMmTUKj0TB16lRmz55N586d6dy5M7NnzyY4OJiJEycCYLFYuPfee5k+fTrR0dFERUUxY8YMevbs6R9e3q1bN2655RYmT57MwoULAbj//vsZNWqUfyh5amoq3bt3Jy0tjRdeeIHS0lJmzJjB5MmTpbAhhLiiak5OjNo6JEA6QYxGI506daJ///7MmTOH3r178+qrrzZoO9+5XKkqtd2tnPfm9ChXPLYuQkNDCQ0N5aOPPsLhcFzS+Z3J4/Hw3nvvUVpa6i9unG7jxo0MGTKE8ePHs2zZsnPGnM5qtRIVFXVFchOiPs3fvZM39/9Asc2mdipCBKRDFeWUuUrIt5+/UzHEYOKaGN8HFuvyr8yQmJT47gBkV5Zckf0JcbmOHTvGr3/9a7p27cr48eMxGo1s3ryZtm3bAvD4448zdepUHnroIfr378/x48fJyMgg7LQJhefNm8e4ceOYMGECgwcPJjg4mE8++QSdTuePWbZsGT179iQ1NZXU1FR69erFW2+95d+u0+lYtWoVQUFBDB48mAkTJjBu3DhefPHFhnsxhBABr8zhwKU4AegcblE5m3OrcyfImRRFweFw1Grn69u3L/BTO9/zzz8P1G7nmzBhAvBTO9/cuXOB2u18pzoczmznq0+Tvjj/J0d9Wxj507UR/vv3f1mEw3Pu2O5RBv6a/NOwn0e+LqbSeXbR492RZw/9OR+9Xs+SJUuYPHky//rXv7j66qsZMmQId9xxB7169bro/QD8+te/RqfTYbfb8Xg8REVFcd99950V94tf/ILbb7+df/zjHz+7z02bNvHee++xatWqOuUihBoez/wfNm8Nq8xTuLVNG7XTESLgtAtpzZCI2+kcYfQ/5rEXUZX1N5x5X+F1FANauniGs4kWvL79M8YcfRqNMQJdcCt0oe3QhbbHENEdbUjiBbtBvz5+gpggEz2jo7nKEgPACVvdhokKUV+WL19+we0ajYZZs2Yxa9as88YEBQXx2muv8dprr503JioqiqVLl17wWG3atOHTTz+9YIwQQlyOUyu06dATaw5SOZtzq1MR5IknnmDEiBEkJiZSWVnJ8uXLWbt2Lenp6Q3aztec3XbbbYwcOZL169ezadMm0tPTmTt3Lv/+97+5++67a8U++OCDtX4ZVlVV+b+eN28eQ4cOJTc3l2nTpvHYY4/RqVOns443duxYVqxYwfr167n++uvPm9eePXsYO3YsTz31FMOGDbv8ExWiHjncHsJ0Meg0FXSPbJxLdwnR5ClBxBnb0jvS9wbI6yijZFUynspDtcKu0pUDLdjt9OI4du4iutYcjzF2EKbEsQQljkZrqv1ze9+GD8muyeHPPW9jWOs4/rYLXFjr46yEEEIIcQHZlb4iSLAuGK32ktdhqVd1KoIUFBSQlpZGXl4eFouFXr16kZ6e7v+j9/HHH8dms/HQQw9RVlbGgAEDztnOp9frmTBhAjabjZtvvpklS5ac1c43ZcoU/yoyY8aMabDJNt8c3uK827RnfAj1+tCLj51/Y8zlpFVLUFAQw4YNY9iwYTz11FPcd999/PWvfz2rCPK3v/2NGTNmnHMf8fHxdOrUiU6dOvH+++/Tt29f+vfvT/fu3WvFLVy4kD/+8Y+MGDGCVatW+eciOd3evXu56aabmDx5Mn/+85+v2HkKUV+sTkiJvAODFtqGNs6lu4Ro6k51P1qMvl+Ild89gafyELqQtoQPeBVdqG9lmN/UVPLK2u9oYUzE3v0tWpCHp/oYnqojeCoP47b+gNeWj/3oh9iPfohVayK4092EJP0BfXhH9pRUU+nyAArj2nakXXgwAMdrrNS4nQTrjefMTwghhBBXXk6VrwgSZmi877HrVARZvHjxBbc3ZDtffQnSX3gS14aIravu3bvz0UcfnfV4bGzsOVfaOVOnTp247bbbmDlzJh9//HGtbRqNhoULF6LT6bj11ltZtWoVKSkp/u179uzhpptuYtKkSTz77LOXeypCNIgSu28cW1SQ7mcnbhZCXJoNhfs4ZCuj0tMVr8NFzcElAFiuewNTyxv9ca2j4N723ThY7iY3Ioz2rWvPJK+4bbhKvsNxYjX2o//DXb6HmgMLqTn4BqG9nuBLzxRujPw1V0XXcHUL3wcOkUYzZU4bhytLSIps2WDnLIQQQjR3udW+5XEjGnERpHH2p4hzKikp4aabbmLp0qXs3LmT7Oxs3n//febOncvYsWMva9/Tp0/nk08+Yfv27Wdt02g0/POf/+See+5h5MiRrFmzBvAVQG688UaGDRvGtGnTyM/PJz8/n6IimZFfNG6lNi8A0UFyCRSivnxduJ3MygyOVOdiz/kYPHb0kb0wxqecFdstytetsbfUddY2jd6MMW4wYX1nETN2F1G3rMPYcih4nRzd+R825dsBuKd7K/9zYk4Ol/nq2NkTrQshhBCi/rQJDadLaEd6R7VWO5XzuuyJUUXDCQ0NZcCAAcybN49Dhw7hcrlITExk8uTJPPHEE5e171Pzsjz11FN89tlnZ23XaDTMnz8fnU7HqFGjWLlyJRs2bKCoqIhly5axbNkyf2zbtm05cuTIZeUjRH36z8H1rCzegFXTFxindjpCBCSbpwaAhJBQHCcyAAhqM/ac3Vfdowy8f7Caz3IP82Cvgefdp0ajwRR/A8a4DOzZ7/L3bYeweR30UXaRqO8HJAAQposETrCjpPCKn5cQQgghzm96rz5M79VH7TQuSIogTYjJZGLOnDnMmTPnvDEXU3xQlHMvzZuRkeH/OiUl5Zxxr776Kq+++ioAQ4cOveDQJyEaq9zqcuzeagy6ui1TLYS4eFqdr0NjQGwEzt1fAmBKSD1nbKswD58U/xMFhT2lXekRdeEJizUaDfkxI3m95lmo+Re/NHxH6RfHiB65Ca3RwjXRHSm1awjVRV/ZkxJCCCFEkye94EKIZkerqwagb0yUypkIEbgKbb4VyaKUCt9yuFoDhphrzxkbFxxMnCmeFsZYDlZc3Kouc3dtwIObaGMUQw37cFv3Ub7hbhRF4dcdruHa8FtpYehwxc5HCCGEED/P5narncLPkk4QIUSzU+7yzVp9dYx8SixEfah2ObB5fPN7RNYcxAPoLd3Q6M6/UsuhX00h2GC4qP3b3C7+d3QzAH/pezPRsTdS8tl1OHI+omb/AuJi7wOgoMZzeScihBBCiDpp+c5z1HhqeG/IZMa1b692OucknSBCiGbnWLXvk+ZWweEqZyJEYNpf7is06jU6gip2A2CI6n3B51xsAQRgycFtFDuqaRcayYNX9cEYcw3h/ecCUJk5k1htMR7Fw+HKImpcjf8TKSGEECJQVHtqcClOWpjNPx+sEukEEUI0Kw63m7wa3x9oCcEWlbMRIjAdqfItj2fSBuMp2wWAPvLCRZBTKpxOtGgINZ67KOLyeHhu51oApvUYgl6rAyD4qkewHX4bV/FW2DGTlcWtcSkOthVNY0hCwmWekRBCCCF+jt2tMCr6QezeapIiG2/HtXSCCCGalR+tFXhR0KAlNqjxrl8uRFN2rMo3H0iIPhh3xX4A9BHdf/Z513/yNpHL/sIru7POG/PCzu/JqS4lWGfmt52v8T+u0eoIH/gPABxHlhJpCEevMZBdWXEZZyKEEEKIi2V1ejFqg4g2RhNubLz9FlIEEUI0K/vKywAI0YVi0OlUzkaIwHSixtcJEq4PwVOZDYA+7OcnKTXp9HjxsCbv0Dm3e71e5u9bB8CIltcQYjDV2m6M6Y+pzThQvHwTvw/HXc9yd9erLuNMhBBCCHGxrA4vABEmLRqNRuVszk+KIEKIZuVgRTkAEQaZD0SI+pJ/cmWYCEMQitv3tS6k7c8+7+aWHQHYWXbknNvf/PEAeY48dOh57tqUc8aE9ZkFQPixpSg1x+qWuBBCCCEu2bcFR9le8QXZ9p1qp3JBUgQRQjQrR6rKAYgxSRFEiPpSZPctQx2l97XCaoMT0OiDfvZ5t3fsDECJq5jsisqztj9/ci6Q61r0ppPl3D/DhqjeGONTQPFQvX/BJWQvhBBCiEuRVXqCw/YdHKk5qHYqFyRFECFEs3JqZZg4sxRBhKgvpQ5fESRa51uiVhd6cUvkdQgPJ9oQA8C7hw7U2rb62DH2V/neVM3pf+MF9xPS7fdkabozcF8wV73/rzrlLoQQQohLY/f4fv8nBIepnMmFSRFECNGs5Nl8RZDWsjKMEPUmWG8kWBtKS40NAP1FFkEAekW2A+CrM+YF+Uvm177tlm4kx8dfcB+mxNGYTaHsc1k5UHUYh1uWyRVCCCHqm05fA0ByfKTKmVyYFEGamMLCQh544AHatGmDyWQiPj6e4cOHs2nTJgDatWvHK6+8csF9aDQa/y00NJTevXuzZMmSWjFr165Fo9FQXl7uf+zEiRMkJSVx3XXXUV5eTklJCbfccgsJCQmYTCYSExN55JFHqKiQmfhF41Xi8H1/tguLUDcRIQLYVyNvp3rSLJ6y+MYE68Iuvghy08l5QXacNi9IjcvFgcpcAJ7qc+EuEPCtFNOr/XXo0KHgZUdpaR2yF0IIIcSlKDg5J1icWTpBxBV02223sWPHDt58800OHDjAypUrSUlJobSOb/DeeOMN8vLy2LFjB7fffjv33HMPX3zxxXnjDx06xHXXXUebNm3IyMggIiICrVbL2LFjWblyJQcOHGDJkiV8+eWXPPjgg5d7mkLUm7/2SWVK1zHcmnjxf5QJIS6Nx3YCAG1wq4t+zq86dAGg2FlEycm5RYINBvLueJx/DbiH2zr8/CozAGGdfoNFFwxAZn5OXdIWQgghxCXIt/nm84ozh6qcyYU13sV7xVnKy8vZsGEDa9euZciQIQC0bduWa6+9ts77ioiIIP5kO/ETTzzBSy+9REZGBsOHDz8rdufOnQwfPpyUlBT++9//YjAYAIiMjOR3v/udP65t27Y89NBDvPDCC5dyekI0iN9e1Q3opnYaQjQL3po8AHTmlhf9nK4RFrpaWrDfWsSGgmzGtk0CwKTX80D3Hhe9H31UH+J0n1PqgZ15e6BX/7olL4QQQog62VNaDoDbHaxuIj9DiiBnqHY56vwck06PXqsDwO314PC40Wq0mPWGn91viMF00ccJDQ0lNDSUjz76iIEDB2IyXfxzz8fj8fDBBx9QWlrqL26cbuPGjdx5551MnDiR1157Da32/M1DJ06c4MMPP/QXaIQQQjQ/VoeT9u+/SKg+hDWaMkIAbfDFF0EAhsR1ZL+1iHUFhwnWRTA4Lo7gc/yOuhCNRkNiUCj7nKX8aC2s03OFEEIIUXfVHt+cIImhjXs4jBRBzhC69Mk6P+e9lDR+1b43ACuO7mbC2rcYEt+BtSMe8se0e382xSdnyz+dcs+LF30cvV7PkiVLmDx5Mv/617+4+uqrGTJkCHfccQe9evWqU86//vWv0el02O12PB4PUVFR3HfffWfF/eIXv+D222/nH//4xwX39fHHH2Oz2Rg9ejT//ve/65SLEA3lh7Iylh3aT8/IFkzo2FHtdIQISNmVFZS5SrG6rJg1R4G6dYIADInvwOsHNrPy6H4W7vsOjUbDxzfdx82tL35YDUDnyFZkVORwzGlH8TjR6Ix1er4QQgghLk6JzYFbcQLQKbxxr8Ioc4I0MbfddhsnTpxg5cqVDB8+nLVr13L11VefNbEpwIMPPujvHgkNrT0ua968eWRlZbF69Wr69OnDvHnz6NSp01n7GDt2LCtWrGD9+vXnzWnevHl89913fPTRRxw6dIhp06Zd9nkKUR8+yz3KM7v+x++3fKR2KkIELKM2mJSIO0iNGYMWN6BBa46r0z76nFwh5lBVAU7F10mZHBdb51yS4roCUOqx4yz4ps7PF6I+zJkzB41Gw9SpU/2PKYrCrFmzSEhIwGw2k5KSwp49e2o9z+Fw8OijjxITE0NISAhjxozh2LFjtWLKyspIS0vDYrFgsVhIS0urNck9QE5ODqNHjyYkJISYmBimTJmC0+msr9MVQjQThyp9KzDq0NMiKEjlbC5MOkHOUPWbZ+v8HJPup5fxF22TqPrNs2g1tetLR371xGXndkpQUBDDhg1j2LBhPPXUU9x333389a9/5e67764V97e//Y0ZM2accx/x8fF06tSJTp068f7779O3b1/69+9P9+7da8UtXLiQP/7xj4wYMYJVq1adc6hLfHw88fHxXHXVVURHR3P99dfzl7/8hZYt6/bJnxD1zeXREWtoQ4eQuv8xJYS4OA63jlhjG9oGu6AEtEEt0GjrNpSle1QUFn0kle4KrrPcxi87xdR5OAzAsMSWsBWs3mpqcj/DlDC0zvsQ4kratm0br7/++lkdvHPnzuXll19myZIldOnShWeeeYZhw4axf/9+wsJ8beVTp07lk08+Yfny5URHRzN9+nRGjRpFZmYmOp1vWPbEiRM5duwY6enpANx///2kpaXxySefAL5h0CNHjqRFixZs2LCBkpISJk2ahKIovPbaaw34SgghAk12pW8FxmBdyAWnUGgMGnd2KggxmOp8OzUfCIBeqyPEYKo1H8iF9nsldO/enerqs4faxMbG+gsd5+ryOKVTp07cdtttzJw586xtGo2GhQsXkpaWxq233sratWsvmIuiKIDv0wohGpu25vakRN7BvR1Hqp1KQFmwYAG9evUiPDyc8PBwkpOT+fzzz9VOS6ikwukFIFRrA0Bbx6Ewp0zrOpFftPg9bYPbcs9VbS5pH21DIzBoNDjRc+T4t5e0DyGulKqqKu68804WLVpEZGSk/3FFUXjllVd48sknGT9+PElJSbz55pvU1NTw9ttvA2C1Wlm8eDEvvfQSQ4cOpW/fvixdupRdu3bx5ZdfArBv3z7S09P597//TXJyMsnJySxatIhPP/2U/fv3A5CRkcHevXtZunQpffv2ZejQobz00kssWrSIioqKhn9RhBABI6fKtzJMmCFE5Ux+nhRBmpCSkhJuuukmli5dys6dO8nOzub9999n7ty5jB079rL2PX36dD755BO2b99+1jaNRsM///lP7rnnHkaOHMmaNWsA+Oyzz3jjjTfYvXs3R44c4bPPPuN3v/sdgwcPpl27dpeVjxD1ocTu++MsKkgufVdS69atee6559i+fTvbt2/npptuYuzYsWe1covmYWvRUQ7WfE+pIxsAXR0nRT3llx1bYdTq+WXnEIINl/Yzq9fqaB8aAcBBax4ee9El7UeIK+Hhhx9m5MiRDB1auyMpOzub/Px8UlNT/Y+ZTCaGDBnCxo0bAcjMzMTlctWKSUhIICkpyR+zadMmLBYLAwYM8McMHDgQi8VSKyYpKYmEhAR/zPDhw3E4HGRmZl75kxZCNBvHqn2F1Ehj414eF2Q4TJMSGhrKgAEDmDdvHocOHcLlcpGYmMjkyZN54onLG27Ts2dPhg4dylNPPcVnn3121naNRsP8+fPR6XSMGjWKlStXYjabWbRoEY899hgOh4PExETGjx/Pn/70p8vKRYj6UmxzARAdpPuZSFEXo0ePrnX/2WefZcGCBWzevJkePS5+SVMRGL4p3Md3Vd8SqW0LXHonSPdoI0tHtECr0VxWPqH6GKCMtfqbGZX3Neb2Ey5rf0JciuXLl/Pdd9+xbdu2s7bl5+cDEBdXe+6cuLg4jh496o8xGo21OkhOxZx6fn5+PrGxZw/3jI2NrRVz5nEiIyMxGo3+mDM5HI5aHb7SMSKEOJc2oRauCutEn6hEtVP5WVIEaUJMJhNz5sxhzpw55405cuTIz+7n1JCVM2VkZPi/TklJOWfcq6++yquvvuq/f+qTBSGaglcPLcTmcTDeMQnooHY6Acnj8fD+++9TXV1NcnLyeePkTXXgqnL7hme20PomWqzr8rinu9wCCECU0fdH40FNHM68NVIEEQ0uNzeX3//+92RkZBB0gckCNWd8vyuKctZjZzoz5lzxlxJzujlz5vD0009fMA8hhJjeqw/Te/VRO42LIj3hQohmwev1UuGuxO6tpk1IsNrpBJxdu3YRGhqKyWTiwQcfZMWKFWdNtHy6OXPm+FcvsFgsJCY2/k8NxMUJNfmKWwN0vuFQuqC6rQxzpaXEXUX34EEkGlvhyF+jai6iecrMzKSwsJB+/fqh1+vR6/WsW7eO//u//0Ov1/s7M87sxCgsLPRvi4+Px+l0UlZWdsGYgoKCs45fVFRUK+bM45SVleFyuc7qEDll5syZWK1W/y03N/cSXgUhhGg8pAgihGgWyp12PIpvOEz3yCiVswk8Xbt2JSsri82bN/O73/2OSZMmsXfv3vPGy5vqwFVk93WCRHvLAdAGxaiYDdya2JWk0OsIMyXhqfhR5gURDe7mm29m165dZGVl+W/9+/fnzjvvJCsriw4dOhAfH8/q1av9z3E6naxbt45BgwYB0K9fPwwGQ62YvLw8du/e7Y9JTk7GarWydetWf8yWLVuwWq21Ynbv3k1eXp4/JiMjA5PJRL9+/c6Zv8lk8k98feomhBBnqnK61E7hoslwGCFEs3DC5lu7PNoUjMVkVDmbwGM0Gv2rUPXv359t27bx6quvsnDhwnPGm0wmTKYrs0KWaFwKbVUARLqLAdCa1C2CxAX75gAq1nVAAVxFm9Eljr7wk4S4gsLCwkhKSqr1WEhICNHR0f7Hp06dyuzZs+ncuTOdO3dm9uzZBAcHM3HiRAAsFgv33nsv06dPJzo6mqioKGbMmOGf0w2gW7du3HLLLUyePNl/7b3//vsZNWoUXbt2BSA1NZXu3buTlpbGCy+8QGlpKTNmzGDy5MlS3BBCXJbW7z5Ptaead4dMZnz7xj3sXIogQohm4Vi1rwjSOiRC3USaCUVRZKnsZupYta8IYvD4PhFSuxMkNlhHtaecfHcZebQktHAjQVIEEY3M448/js1m46GHHqKsrIwBAwaQkZFBWFiYP2bevHno9XomTJiAzWbj5ptvZsmSJeh0P032vWzZMqZMmeJfRWbMmDHMnz/fv12n07Fq1SoeeughBg8ejNlsZuLEibz44osNd7JCiIBU7anBrbiIMzf+YedSBBFCNAtZJaUARBvlk64r7YknnmDEiBEkJiZSWVnJ8uXLWbt2Lenp6WqnJhpYhdOJS/FNiBrr8K1qoXYniF6rYb31XSrcVrboetCuUCb0Fupbu3ZtrfsajYZZs2Yxa9as8z4nKCiI1157jddee+28MVFRUSxduvSCx27Tpg2ffvppXdIVQogLsrsVRkf/Dru3mp5R0Wqn87OadRHE6/WqnYK4QuT/UvyczKISAFzuxl+dbmoKCgpIS0sjLy8Pi8VCr169SE9PZ9iwYWqnJhpYdkUlAFq0xHryQKN+JwhAa3McBXY9dsWEs/hbFK8LjdagdlpCCCFEQLA6vRi0JkL0JsIMjb/E0PgzrAdGoxGtVsuJEydo0aIFRqPxZ5cgE42Toig4nU6KiorQarUYjTLXgzi3EzW+JVgTgi0qZxJ4Fi9erHYKopE4UuUrggRpzWgVQBeERq9+4XHPL+9HUbwUvBON4rThKt2BMaa/2mkJIYQQAcHq8H0gbTFpm8Tf1c2yCKLVamnfvj15eXmcOHFC7XTEFRAcHEybNm3QamXBI3FuRQ5fEaRNaIS6iQgRwI6dLIKE6MzgVn8ozOk0Gi3GFsk4jn+Oq2izFEGEEEKIK2R9/hG2V2ziKloBN6udzs9qlkUQ8HWDtGnTBrfbjcfjUTsdcRl0Oh16vb5JVB2FesqcviJIx7AIdRMRIoCdqPFNihqmN/mKII1gKMzpDDH9fUWQkky1UxFCCCECxs6yExy278RstCNFkEZOo9FgMBgwGGRcsBCBrsLlK4J0sUSqnIkQgavg5PK4Fp3v92pj6QTZVVLCsC/eoNqt5QcFXCXfqZ2SEEIIETDs3moAEoLDfiaycZCxA0KIgFdss+FUfMu19oiKUDcZIQKYXqsjRBdGnN739qKxdIK0CQ2jwJFPlaeKY5qWuMv3oLhtaqclhBBCBASt1vc7NTk+SuVMLo4UQYQQAW9veTkABo2R2CawdrkQTdW/rr+Jqrv+ynttffNtNZZOEIvJSIjO9+nULlN/UDy4ynaqnJUQQggRGApsvjnB4oJCVc7k4kgRRAgR8K6KsPB/19zFn3v+Qu1UhGgWvA7fktRaU7TKmfwkxugbCrff1BuQITFCCCHElZJ/qghibhrDYZr1nCBCiOYh1hzMo0m91E5DiGbDay8GGs9wGIBWwdEcteVwSNMCQCZHFUIIIa6QvWVWAFxus8qZXBwpggghhBDiiuj03j9weFz8IzSYa2g8w2EAOoRFs7EEcjy+tz5SBBFCCCGujGqPb2LUNqHSCSKEEI3CP/fsJq+mitFtO3BtbKza6QgRsHJqjuNSnGiN5UDj6gTpFuHLJd/pm7zNXbYbxeNAozOpmZYQQgjRpJXYHLgVFwCdLOEqZ3NxpAgihAh48/d9y77KH6l0jZEiiBD1xOVRGGwZj8Nro6NrMtC4OkH6RPt+9q0eKxpTNIqjBHfZbgwx/VTOTAghhGi6DlX6hsLo0BNjClI5m4tTp4lR58yZwzXXXENYWBixsbGMGzeO/fv314pRFIVZs2aRkJCA2WwmJSWFPXv21IpxOBw8+uijxMTEEBISwpgxYzh27FitmLKyMtLS0rBYLFgsFtLS0ig/ucKDEELURaQ+jlhDW3pESAFEiPpS4fQSa2xDO3NXLI5DQOPqBLm+pe/nv8pdQ03E1QCyQowQQghxmQ5XVAAQrAtBq20a667UKct169bx8MMPs3nzZlavXo3b7SY1NZXq6mp/zNy5c3n55ZeZP38+27ZtIz4+nmHDhlFZWemPmTp1KitWrGD58uVs2LCBqqoqRo0ahcfj8cdMnDiRrKws0tPTSU9PJysri7S0tCtwykKI5qZ7yGBSIm9nWOuOaqciRMCyOr0AhBlAo7iBxrU6TJghyD9rfW5wDwDcUgQRQgghLktOla8IEm5oGsvjQh2Hw6Snp9e6/8YbbxAbG0tmZiY33HADiqLwyiuv8OSTTzJ+/HgA3nzzTeLi4nj77bd54IEHsFqtLF68mLfeeouhQ4cCsHTpUhITE/nyyy8ZPnw4+/btIz09nc2bNzNgwAAAFi1aRHJyMvv376dr165X4tyFEM2Ay6NQ4VQAiA7SqZyNEIFrd1kRB2t20V7rGw+s0Qej0TeuWeI7hUVTYKvkiKEdXZBOECGEEOJyHa/xNTtEGENUzuTiXVa/itXqG/8TFRUFQHZ2Nvn5+aSmpvpjTCYTQ4YMYePGjQBkZmbicrlqxSQkJJCUlOSP2bRpExaLxV8AARg4cCAWi8UfcyaHw0FFRUWtmxBCFNlceBQ3Bi2EGjRqpyNEwNpWlMN3Vav53roFaFzzgZyixwLAF5XxALhLd6IoipopCSGEEE1au1AL3cI60zeqjdqpXLRLnhhVURSmTZvGddddR1JSEgD5+fkAxMXF1YqNi4vj6NGj/hij0UhkZORZMaeen5+fT+w5Ji+MjY31x5xpzpw5PP3005d6OkKIAPVVXjYfFC0izpiARjNN7XSECFjlTt/Q2Ai9AQBNI5oP5JSWQb7hOdl2B2i0eB3FeG0F6ILjVc5MCCGEaJoe69WHx3r1UTuNOrnkTpBHHnmEnTt38s4775y1TaOp/WmroihnPXamM2POFX+h/cycOROr1eq/5ebmXsxpCCEC3CFrOQBBOlkMS4j6FBbkAGBAmK8TszF2ggxv1Y1rwkbQK/xadOFdAJkXRAghhGhuLqkI8uijj7Jy5Uq+/vprWrdu7X88Pt73ScqZ3RqFhYX+7pD4+HicTidlZWUXjCkoKDjruEVFRWd1mZxiMpkIDw+vdRNCCK3O9+l00slhe0KI+lFk9/2sxWicQOOaFPWU6+Jb097cE40nBkNkT0DmBRFCCCEuR4XTqXYKdVanIoiiKDzyyCN8+OGHrFmzhvbt29fa3r59e+Lj41m9erX/MafTybp16xg0aBAA/fr1w2Aw1IrJy8tj9+7d/pjk5GSsVitbt271x2zZsgWr1eqPEUKIi1Hi8H0qnRQV+TORQojLUWSvAiCKGqBxLY97SnyIb3LkMocXj8W3TK50ggghhBCXrs27c9EvmcmH2YfVTuWi1ak//OGHH+btt9/m448/JiwszN/xYbFYMJvNaDQapk6dyuzZs+ncuTOdO3dm9uzZBAcHM3HiRH/svffey/Tp04mOjiYqKooZM2bQs2dP/2ox3bp145ZbbmHy5MksXLgQgPvvv59Ro0bJyjBCiDo5XuObwLl1sEXlTIQIbDuKfT9rbrcJaJzDYUINWqq9x8l3FLNPl0QnwFUqRRAhhBDiUlV7qvEoLuLNwWqnctHq1AmyYMECrFYrKSkptGzZ0n979913/TGPP/44U6dO5aGHHqJ///4cP36cjIwMwsLC/DHz5s1j3LhxTJgwgcGDBxMcHMwnn3yCTvfT8pXLli2jZ8+epKamkpqaSq9evXjrrbeuwCkLIZqTvSeH3kUZZYicEPWp7OTEqBbFBjTOThCA76u+JrPyCzbYfUv5ua17UbwulbMSgWzBggX06tXLP1w7OTmZzz//3L9dURRmzZpFQkICZrOZlJQU9uzZU2sfDoeDRx99lJiYGEJCQhgzZgzHjh2rFVNWVkZaWhoWiwWLxUJaWhrl5eW1YnJychg9ejQhISHExMQwZcoUnE2wlV0I0TjY3Qqjox/m1qjJJEU1vmGw51OnTpCLWUZOo9Ewa9YsZs2add6YoKAgXnvtNV577bXzxkRFRbF06dK6pCeEEGfJqfZ9Oh2sC/uZSCHE5ajx+IbBJHh8XaKNsRMEoE9kO8Iqg4kOjUVjCENxVeK27scQmaR2aiJAtW7dmueee45OnToB8OabbzJ27Fi+//57evTowdy5c3n55ZdZsmQJXbp04ZlnnmHYsGHs37/f/yHi1KlT+eSTT1i+fDnR0dFMnz6dUaNGkZmZ6f8QceLEiRw7doz09HTA10WdlpbGJ598AoDH42HkyJG0aNGCDRs2UFJSwqRJk1AU5YLvyYUQ4nysTi8GrZEQvZEwQ9NZhKDpZCqEEHXkcLup8fjmKbgqIkLdZIQIYDUuFy7FtzpMK3c20DgnRgVYdct4/9fFR3rhKvwWd9lOKYKIejN69Oha95999lkWLFjA5s2b6d69O6+88gpPPvkk48f7vjfffPNN4uLiePvtt3nggQewWq0sXryYt956yz90fOnSpSQmJvLll18yfPhw9u3bR3p6Ops3b2bAgAEALFq0iOTkZPbv30/Xrl3JyMhg79695ObmkpCQAMBLL73E3XffzbPPPiuLCggh6qzc7gXAYtL+7GqwjcklL5ErhBCN3QGrFQUFDVo6yps7IerN4cpKADRoaOE4CDTe4TCnM0T2AsBVtkvlTERz4fF4WL58OdXV1SQnJ5OdnU1+fj6pqan+GJPJxJAhQ9i4cSMAmZmZuFyuWjEJCQkkJSX5YzZt2oTFYvEXQAAGDhyIxWKpFZOUlOQvgAAMHz4ch8NBZmbmeXN2OBxUVFTUugkhBMCGgiNsq/icw7YdaqdSJ1IEEUIErH0nx0KH6EIxnDbnkBDiyso5WQQJ0gajdRYDjXc4zCl51dXoTy6T6y5tWm/eRNOza9cuQkNDMZlMPPjgg6xYsYLu3bv7FxmIi4urFR8XF+fflp+fj9FoJDIy8oIxsbGxZx03Nja2VsyZx4mMjMRoNPpjzmXOnDn+eUYsFguJiYl1PHshRKDaWXaCbPsucuyH1E6lTqQIIoQIWIcqygGIMEgXiBD1KbfaN+wsRB8MigdovMNhjldXE7TkzyS891dsob4hMNIJIupb165dycrKYvPmzfzud79j0qRJ7N2717/9zDZyRVF+trX8zJhzxV9KzJlmzpyJ1Wr133Jzcy+YlxCi+bB5fJOitwpuWnPvSRFECBGwjlSVAxBjkiKIEPXJ5fUQqgsn2hAKgEYfgkYfpHJW59bSbMaLbwzzTk88AN6aY3gdZWqmJQKc0WikU6dO9O/fnzlz5tC7d29effVV4uN934NndmIUFhb6uzbi4+NxOp2UlZVdMKagoOCs4xYVFdWKOfM4ZWVluFyuszpETmcymfwr25y6CSEEgE7nWxFuYHyUypnUjRRBhBAB69jJlWHizfKGTYj69EhSLyrveoqdN/YHGm8XCIBWqyXS6BtWsMNajS6kLSDdIKJhKYqCw+Ggffv2xMfHs3r1av82p9PJunXrGDRoEAD9+vXDYDDUisnLy2P37t3+mOTkZKxWK1u3bvXHbNmyBavVWitm9+7d5OXl+WMyMjIwmUz069evXs9XCBGYCmy+4bBxQaEqZ1I3sjqMECJg/b3fDYwo6EQXS9OqTgvRVHntvvlANI18UtSWQVEUOgrYW16MPrInnuqjuMt2YYq/Qe3URAB64oknGDFiBImJiVRWVrJ8+XLWrl1Leno6Go2GqVOnMnv2bDp37kznzp2ZPXs2wcHBTJw4EQCLxcK9997L9OnTiY6OJioqihkzZtCzZ0//ajHdunXjlltuYfLkySxcuBDwLZE7atQounbtCkBqairdu3cnLS2NF154gdLSUmbMmMHkyZOlu0MIcUnyTxVBzE1rOIwUQYQQAevqFjFc3aJx/zEmRCDxOkqAxj8patvQaHZY4VBlMfqWvXAc+xR32U610xIBqqCggLS0NPLy8rBYLPTq1Yv09HSGDRsGwOOPP47NZuOhhx6irKyMAQMGkJGRQVjYT39UzJs3D71ez4QJE7DZbNx8880sWbIE3WmTfi9btowpU6b4V5EZM2YM8+fP92/X6XSsWrWKhx56iMGDB2M2m5k4cSIvvvhiA70SQohAs6fM13Xt9phVzqRupAgihBBCiMty06rlHKjIY1pcML+mcQ+HAegaHgPH4VhNKYYI3woxMhxG1JfFixdfcLtGo2HWrFnMmjXrvDFBQUG89tprvPbaa+eNiYqKYunSpRc8Vps2bfj0008vGCOEEBer5uTEqIkhTasTROYEEUIEJLfXw2++/pwnt26iyulSOx0hAtqPFfkctx+nwumbIE3byIfD9Ij05VdoL0Uf1QsAd9kuFMWrZlpCCCFEk1Fis+NWfO+xO1ma1pA6KYIIIQLS4Yoqlh35itl7PkCnvfAyg+LyzJkzh2uuuYawsDBiY2MZN24c+/fvVzst0YCuixrKoPBxXGvwLZXb2DtBrmkRC0Cl24o3pD1ojSjuKjxVR1XOTAghhGgaDlb4hsLo0BNjapwrwp2PFEGEEAGp1O6mXVASHcxdMetl5F99WrduHQ8//DCbN29m9erVuN1uUlNTqa6uVjs10UDMxNE6qAvt8K060djnBLkqMgKzzoAXhVxbNfqI7gAyL4gQQghxkQ5X+iZFDdGHoNU2rbKC/GUghAhIOkK5NvxWOlrkMlff0tPTa91/4403iI2NJTMzkxtukNU2Ap3bq1DtVgAIceQAjb8TRKvR0jEsmt3l+RysKGZgZE/cpVm4ynYR1Gas2ukJIYQQjV5uVQUAYfqmtTwuSBFECBGgSu0eAKKCmlZlOhBYrb72yKio8y9N7HA4cDgc/vsVFRX1npeoH8eqa/ix5jvM2hCCdEfw0vjnBAHoFB7D7vJ8dpcVcV3kqXlBpBNECCGEuBjHa3ydIBHGEJUzqTv560AIEZByq6rxKG6ignQ/HyyuGEVRmDZtGtdddx1JSUnnjZszZw4Wi8V/S0xMbMAsxZW0r7yE76u+5Puq1eAoBhr/cBgAt9s3iVvGsXwMkbJCjBBCCFEX7UMj6BHehX7RbdROpc6kE0QIEZAWHfqcraU7sYTdwm8ZqnY6zcYjjzzCzp072bBhwwXjZs6cybRp0/z3KyoqpBDSRBXU+OZ+CdEH47WfLIIENe7hMAAdwnw55laXoI+8DgBPxQEUtw2N3qxmakIIIUSjN7VXb6b26q12GpdEiiBCiIBUZPcNr0gIaXrjFJuqRx99lJUrV/LNN9/QunXrC8aaTCZMJlMDZSbqk8lgByApMgQK3UDjnxMEYFRid3YUBNM5rAVaczwaUzSKowS3dR+G6KvVTk8IIYQQ9USGwwghApJG61uq89rYxv/HWFOnKAqPPPIIH374IWvWrKF9+/ZqpyQaUJHd97PWwnDycxWdGY0+WMWMLk6f6CjijG2pcQWjAIaT84K4SmVeECGEEOLnlDkceL1etdO4JFIEEUIEHEVRyLf7JufsFhGpcjaB7+GHH2bp0qW8/fbbhIWFkZ+fT35+PjabTe3URAMosvuGw0TrNEDTmBQVINqsRacBtxdKbF70J+cFcZfLvCBCCCHEz2n33gsY33yCD7MPq51KnUkRRAgRcMqdNmrcLgBaBVtUzibwLViwAKvVSkpKCi1btvTf3n33XbVTEw1gU34ZADaXEWgaQ2EAtBoNlcohdlWt55v849IJIoQQQtRBtacaD25amht/9+eZZE4QIUTA2V1aCoDFEIxZb1A5m8CnKIraKQgVFdh8w2HMJz9XaQorw5xy0LaDH2oO8k1+C0Z3PtkJIivECCGEEBdkd3sZG/MIdm81PaOaxocfp5MiiBAi4Owo8X0ybdTIpKhC1DerqwaAeK0TaDrDYQCGtryKuCALV0fHoo9IBDR47QV4bAXozHFqpyeEEEI0SuUOL3qNgWhjBKHGpveBoxRBhBABJ7uyHIBoU7i6iQjRDFS5fXOCxJ+cjLipDIcBeG1wSq37urCOeCoP4i7bJUUQIYQQ4jzKHb4JUS3Gpjm7RtPMWgghLiCnuhyA2CCZD0SI+lbj9nWCJFACNK3hMGcyRJ2cF0SGxAghhBDntT7/CFsrPuegLUvtVC6JFEGEEAHnRE0FAC3N0gkiRH2yud04FDsArb3HgaY1HAag0FbDZ0eP4vV60UecmhdEJkcVQgghzmdn2QmO2HeRa296K8OADIcRQgSgIodvedw2oRHqJiJEgMuprPJ/He/IBkDbhIaR2Nxu4pf/FQWF3WOfpMPJThCZHFUIIYQ4P4fX1wXaOqRpfuAonSBCiIBT6vB1gnQMi1A3ESECXKnDTqgunFBdODpnPgDaoFiVs7p4Zr2eML1v2FxmcSGGSF8niKt8D4rXo2ZqQgghRKOl09kAGBAXqXIml0aKIEKIgFPprgSgi6VpXpiFaCqS4+OpvOspKu96Cq+tAABdUNPpBAGINUUBsLusGF1oBzT6YPDY8VQeVDkzIYQQonHKt/nea8cFNc2VGKUIIoQIOJ8O/R3zr5lEvxZNa24CIZoqxeNAcfmGoWnNTacTBCAxxFcE+dFajEarQx/RAwBX6Q410xJCCCEarbyTRZD4Jjr/nhRBhBABZ1jr1jyc1JNwo1HtVIRoFrz2Qt8XGj0aY4SqudRVxzBfsfRIlW91G0NUXwBcJd+plpMQQgjRmO0r833w4fIEqZzJpZEiiBBCCCEuyQPrv6LVOy/z+y3bAF8XiEbTtN5adI/wFUHy7KUAGGL6A+AqyVQtJxFY5syZwzXXXENYWBixsbGMGzeO/fv314pRFIVZs2aRkJCA2WwmJSWFPXv21IpxOBw8+uijxMTEEBISwpgxYzh27FitmLKyMtLS0rBYLFgsFtLS0igvL68Vk5OTw+jRowkJCSEmJoYpU6bgdDrr5dyFEIGp2lMNQNtQ6QQRQgjVvXfoEHeu+ZzX9+1VOxUhAt4P1kJO2E9w4mRbbFOaFPWU3tEtACh1luL1ejFE9wN8RRBFUdRMTQSIdevW8fDDD7N582ZWr16N2+0mNTWV6upqf8zcuXN5+eWXmT9/Ptu2bSM+Pp5hw4ZRWVnpj5k6dSorVqxg+fLlbNiwgaqqKkaNGoXH89MkvhMnTiQrK4v09HTS09PJysoiLS3Nv93j8TBy5Eiqq6vZsGEDy5cv54MPPmD69OkN82IIIZq8YpsNj+ICoFN40yyCyBK5QoiA8tHR/bxzdA3ZVX24v1t3tdMRIqANiLwGj7MNN4eXQFHTmxQVoH+LFmgAl+Kk0F5NXEQSaI0ozjI8VdnowzqonaJo4tLT02vdf+ONN4iNjSUzM5MbbrgBRVF45ZVXePLJJxk/fjwAb775JnFxcbz99ts88MADWK1WFi9ezFtvvcXQoUMBWLp0KYmJiXz55ZcMHz6cffv2kZ6ezubNmxkwYAAAixYtIjk5mf3799O1a1cyMjLYu3cvubm5JCQkAPDSSy9x99138+yzzxLeRP+gEUI0nIMVvlUYdRoDMWazytlcGukEEUIElGhDLO2Ckugb2U7tVIQIeGZtNK1MnelusANNb1JUgHCjkdYhEQBkV5Wg0RkxRPYCwFW8XcXMRKCyWn1j6aOifJPyZmdnk5+fT2pqqj/GZDIxZMgQNm7cCEBmZiYul6tWTEJCAklJSf6YTZs2YbFY/AUQgIEDB2KxWGrFJCUl+QsgAMOHD8fhcJCZee4hYA6Hg4qKilo3IUTzdfjkNSBEF6JyJpdOiiBCiIDSOqgT14bfyi/a9lM7FSECXoXDC0CIJx9omsNhADqFRQNwsOLk5KgyL4ioJ4qiMG3aNK677jqSkpIAyM/3/fzExdXupIqLi/Nvy8/Px2g0EhkZecGY2NizfwZjY2NrxZx5nMjISIxGoz/mTHPmzPHPMWKxWEhMTKzraQshAkhOla8IEq6XIogQQjQKpXbfH2XRQXJ5E6K+bS37jhz7XjT2HAC05qY3HAagU7hvctSPjmQD1JoXRIgr6ZFHHmHnzp288847Z23TaDS17iuKctZjZzoz5lzxlxJzupkzZ2K1Wv233NzcC+YkhAhsx2t8cxVZjKEqZ3Lp5K8EIURAOVpVgkdxExWkUzsVIQKaw+1mY/kXbK74FBy+P4qaaifIgJirAPg4dzv7y8oxRP/UCSKTo4or5dFHH2XlypV8/fXXtG7d2v94fHw8wFmdGIWFhf6ujfj4eJxOJ2VlZReMKSgoOOu4RUVFtWLOPE5ZWRkul+usDpFTTCYT4eHhtW5CiOarY1gkSeFd6R/dRu1ULpkUQYQQAaPC6eTd/IV8UPQyGo1d7XSECGjHT1vZIsF1EABtE5wYFeCezj1ICEogSBvC0gN56CN7gNaE4izHU3lY7fREE6coCo888ggffvgha9asoX379rW2t2/fnvj4eFavXu1/zOl0sm7dOgYNGgRAv379MBgMtWLy8vLYvXu3PyY5ORmr1crWrVv9MVu2bMFqtdaK2b17N3l5ef6YjIwMTCYT/frJMFIhxM+b2qs3u26bzJKU4WqncslkdRghRMD4MPsQAEFaM61DglXORojAVuOtASDaFIzenocX0DXBiVEBtFotb1z3G17f4eFwqY5ShxZDVG9cxVtxlWSiD++odoqiCXv44Yd5++23+fjjjwkLC/N3YlgsFsxmMxqNhqlTpzJ79mw6d+5M586dmT17NsHBwUycONEfe++99zJ9+nSio6OJiopixowZ9OzZ079aTLdu3bjllluYPHkyCxcuBOD+++9n1KhRdO3aFYDU1FS6d+9OWloaL7zwAqWlpcyYMYPJkydLh4cQotmQThAhRMDYWLwbgJGtk9Bq5fImRH0qsvs6QWKDQvHafS34WnPChZ7SqA1r3YKk6CDcXlhxsOanyVGLt6icmWjqFixYgNVqJSUlhZYtW/pv7777rj/m8ccfZ+rUqTz00EP079+f48ePk5GRQVhYmD9m3rx5jBs3jgkTJjB48GCCg4P55JNP0Ol+Gv65bNkyevbsSWpqKqmpqfTq1Yu33nrLv12n07Fq1SqCgoIYPHgwEyZMYNy4cbz44osN82IIIZq8YpsNr9erdhqXRTpBhBABwe31sOKorwjyYLe+KmcjROArslcBEGM0gOIFjQ5tUAuVs7p0Go2GCV1C+OumEhbt30y3jsl04J84CzeqnZpo4i5mXhmNRsOsWbOYNWvWeWOCgoJ47bXXeO21184bExUVxdKlSy94rDZt2vDpp5/+bE5CCHEuHf/3IlXuKt5PeYDx7Tuonc4lqfNHpd988w2jR48mISEBjUbDRx99VGu7oijMmjWLhIQEzGYzKSkp7Nmzp1aMw+Hg0UcfJSYmhpCQEMaMGcOxY8dqxZSVlZGWluZfjistLY3y8vI6n6AQonn4Ou8gxY5qYkwhpMRL67oQ9W1TfjkATpcRAK05Ho22aU9I3D3ayCHnarZWfsEfjrqAk5OjumWOISGEEAKgxlODFw8tzU136HmdiyDV1dX07t2b+fPnn3P73Llzefnll5k/fz7btm0jPj6eYcOGUVlZ6Y+ZOnUqK1asYPny5WzYsIGqqipGjRqFx+Pxx0ycOJGsrCzS09NJT08nKyuLtLS0SzhFIURz8Mz3vqUsb4rvgb6J/yEmRFOQW+37vW7EAIAuuJWa6VwxM3sPxqwNpnd0W7TmePC6ZKlcIYQQArC7vYyNeZSR0Q/QMypa7XQuWZ2Hw4wYMYIRI0acc5uiKLzyyis8+eSTjB8/HoA333yTuLg43n77bR544AGsViuLFy/mrbfe8k/ktHTpUhITE/nyyy8ZPnw4+/btIz09nc2bNzNgwAAAFi1aRHJyMvv37/dP7iSEEOBbqnNLyT4Abm6ZpHI2QjQPJSfnBInW+Vr9tcFNdz6Q0/2qY0dGJP6FUKOBsq8HYT/6Ic6ijRjjBqudmhBCCKGqcocXnUZPlNFCqNGgdjqX7IrOHJidnU1+fj6pqan+x0wmE0OGDGHjRt+Y2szMTFwuV62YhIQEkpKS/DGbNm3CYrH4CyAAAwcOxGKx+GOEEOKUJT/ux+G1EaQ1M6lzF7XTEaJZKHX6iiAtNE4gcDpBAP8bO0ML37KizoJv1UxHCCGEaBTKHb4JUSNMTXsBgiua/aklv+Li4mo9HhcX59+Wn5+P0WgkMjLygjGxsWcvsxcbG+uPOZPD4aCioqLWTQjRPCw9uAOAa6K6YdLLfM9CNATrqSIIvt+3ugDpBDnF7fUwz9qFe/R/xFW08aImtxRCCCEC2Tf52Wyt+IyDNd+rncplqZcSjkajqXVfUZSzHjvTmTHnir/QfubMmeOfRNVisZCYmHgJmQshmhqH2822Ut9QmLROfdRNRohmpNJdA0C8txgAbQB1ggB8m1/AUwfW8YXLzZfOjngqD6mdkhBCCKGqXWV5HLHvJsd+RO1ULssVLYLEx8cDnNWtUVhY6O8OiY+Px+l0UlZWdsGYgoKCs/ZfVFR0VpfJKTNnzsRqtfpvubm5l30+QojGb8mBn4bC3CVDYYRoMDUeXydIvDsHCLxOkCEJCfSN6AHAM5oROAtlSIwQQojmzeH1/e5PDAlXOZPLc0WLIO3btyc+Pp7Vq1f7H3M6naxbt45Bg3zjavv164fBYKgVk5eXx+7du/0xycnJWK1Wtm7d6o/ZsmULVqvVH3Mmk8lEeHh4rZsQIvAtPSRDYYRoaF6vF5PWhF5jIMFxAACtObCKIACvDLwFDRp+cFfwwaEDaqcjhBBCqEqrswEwIC5C3UQuU53/YqiqquLgwYP++9nZ2WRlZREVFUWbNm2YOnUqs2fPpnPnznTu3JnZs2cTHBzMxIkTAbBYLNx7771Mnz6d6OhooqKimDFjBj179vSvFtOtWzduueUWJk+ezMKFCwG4//77GTVqlKwMI4SoZXBsW3Kqi5jUua/aqQjRbGi1WsrT/ozitpG/9DkgsCZGPeWGli25JrwTWyt+5OkiM7+5iOG9QgghRKAqsFUBEGcOUzmTy1PnIsj27du58cYb/fenTZsGwKRJk1iyZAmPP/44NpuNhx56iLKyMgYMGEBGRgZhYT+9UPPmzUOv1zNhwgRsNhs333wzS5YsQafT+WOWLVvGlClT/KvIjBkzhvnz51/yiQohAtNzAwbz3ABZulIINXhqjgGg0QejMVpUzqZ+vJo8gkFfHOKQq5yluzeR1vPcHalCCCFEoDtR45sMPb6JF0E0SoBOd15RUYHFYsFqtcrQGCHEFSfXmCtLXs+myXFiNaUZqegjutNi3B6106k3g9+Zw0Z7Ce1M8WRPnKF2OuISyDXmypHXUojmy/LW36lwW3n3hgeZ0LFTvRyjIa4xTXuBXyFEs+Vwu5mxeQOHrbIcdmPwzTffMHr0aBISEtBoNHz00UdqpyTq0fzdO0l4+yV+se0wALrQduomVM9eaKtFh4Yjjny+OvGj2ukIIYQQDU5RFKo9vpXh2oQ27U4QKYIIIZqkJQf289K+j+j50cu4vR6102n2qqur6d27twxbbCb2lZeQ58gjx+abJV4X0lbljOpX/46DuYvvAHjq+3QCtIlWCCGEOK9iuw2P4gKgUxPvApOlFIQQTdKeEgeR+jiSIlqh1+p+/gmiXo0YMYIRI0aonYZoIEmWzgy2/IJrDIfAHvidIIaYa/m9fifvuJPYWHiU9GM/MCKxm9ppCSGEEA3m4Mnua73GQIzZrHI2l0c6QYQQTY7bq1BjS2RY1CReGfALtdMRl8DhcFBRUVHrJpoOo8ZCK1NnemkrgcAvgmh0RhJbDuBOfPOeTN7wGV6vV+WshBBCiIaTXen7nR+sC1E5k8snRRAhRJOzt8RFpUshzKihd0yQ2umISzBnzhwsFov/lpiYqHZKog4qnL4CQIjjCAC60MAeDgNgaj2SezX70WsMHLfn8fKuHWqnJIQQQjSYnCrfB1bheimCCCFEg3vn4CFcXgfXxpvQaTVqpyMuwcyZM7Farf5bbm6u2imJOthUtIej9r047EeAwO8EAQhqPZJ2HGOEQaGjuS+HSiLxytwgQgghmoljNb5OEIsxVOVMLp/MCSKEaFLsbjfzDryNy+tkYveHgKY9MVNzZTKZMJlMaqchLtGaom8ocRXzK70NdEFog2LVTqne6ULboI/sycvlC3kmajelNgNb8hwkJ0g3mhBCiMDXKSySnuFX0T+6jdqpXDbpBBFCNCnvHj6Aw2vDqDUyum0rtdMRolmyeX1L5CUoxehC26HRNI+OLFPrUYQo5dyk+wqA93+sxiNzgwghhGgGpvbqzc7b7uM/Kalqp3LZpAgihGhSvi3yTUw4OjEJk16a2RqLqqoqsrKyyMrKAiA7O5usrCxycnLUTUxccV7Fi91rA+Aqz2704V1VzqjhBLUeCcD1xU9iVwpZfuw9ZmVuVTkrIYQQQtSFFEGEEE2G2+vhw6O7AHjgqqtVzkacbvv27fTt25e+ffsCMG3aNPr27ctTTz2lcmbiSit12PxzYURjQ2/ponJGDcfQYiDaoFiCnMcI0X1PnvMQbx2SIogQQojAl1ddHTAro0kRRAjRZHyVd5ASRw0xphCGxHdQOx1xmpSUFBRFOeu2ZMkStVMTV1iRvQqACI0bg8bbrDpBNFodQe1+CcDfgzfQKaQDHw2dqHJWoin45ptvGD16NAkJCWg0Gj766KNa2xVFYdasWSQkJGA2m0lJSWHPnj21YhwOB48++igxMTGEhIQwZswYjh07ViumrKyMtLQ0/8pbaWlplJeX14rJyclh9OjRhISEEBMTw5QpU3A6nfVx2kKIALGrpIRW7z2N4c0/8U1entrpXDYpggghmoxnv8sEICWuO3qtTuVshGievisuB8CoMQM0q04QgKB2EwAIOfYuB267jz4xMf5tDrdbrbREI1ddXU3v3r2ZP3/+ObfPnTuXl19+mfnz57Nt2zbi4+MZNmwYlZWV/pipU6eyYsUKli9fzoYNG6iqqmLUqFF4PB5/zMSJE8nKyiI9PZ309HSysrJIS0vzb/d4PIwcOZLq6mo2bNjA8uXL+eCDD5g+fXr9nbwQoslbduAYRk0Qrc2tuKFlS7XTuWwyoF4I0STY3G62lu4DIDWhp8rZCNF8HT35R5lBYwYFdOHNqwhijL0OrbklXlsejhMZBCWOAuDZ77fz6t41bBz1IJ0ssmqVqG3EiBGMGDHinNsUReGVV17hySefZPz48QC8+eabxMXF8fbbb/PAAw9gtVpZvHgxb731FkOHDgVg6dKlJCYm8uWXXzJ8+HD27dtHeno6mzdvZsCAAQAsWrSI5ORk9u/fT9euXcnIyGDv3r3k5uaSkJAAwEsvvcTdd9/Ns88+S3i4fO8KIWqrcnnJsyYwMuYBfpsUGB9CSieIEKJJ+O+B/Ti8NoK0Zu7q3Lz+6BKiMcmr8Q2HCdcoaAzhzWJ53NOdPiTGnv0uABVOJ8/v+pwiZyEDP/knh60VaqYompjs7Gzy8/NJTf1pxQWTycSQIUPYuHEjAJmZmbhcrloxCQkJJCUl+WM2bdqExWLxF0AABg4ciMViqRWTlJTkL4AADB8+HIfDQWZm5jnzczgcVFRU1LoJIZqPjCM27B6FDuFB3No2Tu10rggpggghmoSlh3YAcG10d1kVRggVFZ6cE8SicaO3dG02y+Oeztz+1wDYcz7E66wg3Gjk89TJBOtCKXEVM+DTBWRXVP7MXoTwyc/PByAurvYfF3Fxcf5t+fn5GI1GIiMjLxgTG3t2UTI2NrZWzJnHiYyMxGg0+mPONGfOHP8cIxaLhcTExEs4SyFEU2R1OPnXvh0oisKYjiEB8ztfiiBCiEbP5naz7eRQmN907K1yNkI0b8X2agCicKCPbJ5D0wwtBqIL74rirsF+xNcNMjg+ns+HPYBZG0Kxs4gBnyzgaGWVypmKpuTMPy4URfnZPzjOjDlX/KXEnG7mzJlYrVb/LTc394I5CSECx5PbN7K65EO2VH7AoJYmtdO5YqQIIoRo9GQojBCNR6nDVwSJoQZDZC+Vs1GHRqMhuMt9ANQc+Lf/8RtatvQXQoqchVz7yQJypRAifkZ8fDzAWZ0YhYWF/q6N+Ph4nE4nZWVlF4wpKCg4a/9FRUW1Ys48TllZGS6X66wOkVNMJhPh4eG1bkKIwOf2elh+ZAMAoxK7odMGRhcISBFECNEEyFAYIRoPq8tXBGlBBfrI5tuZZe54F2j0uIq34irb5X98SEICnw69nyBtMIWOAm5Mf51yh03FTEVj1759e+Lj41m9erX/MafTybp16xg0aBAA/fr1w2Aw1IrJy8tj9+7d/pjk5GSsVitbt271x2zZsgWr1VorZvfu3eSdtsRlRkYGJpOJfv361et5CiGalveP7KTEWU6kMYRnrhmkdjpXlBRBhBCN3ojWXbgqrBN3d+6rdipCNHt6jQ69xkC8UoYhqnl2ggDozLEEtRkLQM3+hbW23dSqFStvvp8wfTCHqk6QmvE6VqcUQpqzqqoqsrKyyMrKAnyToWZlZZGTk4NGo2Hq1KnMnj2bFStWsHv3bu6++26Cg4OZOHEiABaLhXvvvZfp06fz1Vdf8f333/Ob3/yGnj17+leL6datG7fccguTJ09m8+bNbN68mcmTJzNq1Ci6du0KQGpqKt27dyctLY3vv/+er776ihkzZjB58mTp8BBC+CmKwnM71wAwrcf1RJoCZygMSBFECNEEPNG3P/t++SD3dL1K7VSEaPZ2D+lNDs9xpzELrSlK7XRUFdz1dwDYDi7B66g9TGFY69ZsGPkg0aZgthXnMjxjEQU1NWqkKRqB7du307dvX/r29RXzp02bRt++fXnqqacAePzxx5k6dSoPPfQQ/fv35/jx42RkZBAWFubfx7x58xg3bhwTJkxg8ODBBAcH88knn6DT/bRk5bJly+jZsyepqamkpqbSq1cv3nrrLf92nU7HqlWrCAoKYvDgwUyYMIFx48bx4osvNtArIYRoCpYd3MvOsjxC9EYe6hZYXSAAGkVRFLWTqA8VFRVYLBasVqtUtoUQV5xcY64seT2bjup986nY8iim1iOJGvqp2umoSlEUilf2wV22k7B+zxHa849nxWSVHOfmLxZS6qihdVBrMsfdT6w5WIVsmze5xlw58loKEfjaLf8/jtpymNhuMMtu/EWDHrshrjHSCSKEaLRsbjf3f/Ml3xUVq52KEOIkZ9EmAAwx16qcifo0Gg0hPaYBUL3v/1A8zrNi+kS34u3r78WoMXHMfoy713yL3e1t6FSFEEKIi/LeoUMcteWgRcufet2gdjr1QoogQohGa8mBH1h0KJ3Bn/0fLo9H7XSEaPY2FxTQ7ehVDNfNwhibrHY6jYK5/a/RmlvirTmB7fCyc8YMT2zLeymT6R06mFClF3O2Wal2SSFECCFE4/O3LN9cIAOie9EzOlrlbOqHFEGEEI3Wj2VeWhgSGRjdHcNpY56FEOo4UHyMAreVHK+CIWaA2uk0Chqd0d8NUrXjb+fsBgEY264d/xs2imCDlh9KXfxuzVH+uWd3Q6YqhBBCXNDXx0+wp2I/AM/2u0nlbOqPFEGEEI2S26tQUd2SGyN/zSsDxqmdjhACcFXYuM4ynmGhXdEaZS6AU0KuegitOR5P1RFqDr5x3rhOEQaeGhhBnFnLl8Wf8/DWJUxa+0UDZiqEEEKc3xPbvwKgR3hXbmyVoHI29UeKIEKIRml3iZNKl0KYUUNSdGAtyyVEU5Rb6WZNaQcSTJ24J6pC7XQaFY0+mNBeTwBQtePvKO7zL4fbwWJg9vUR9IxqgQ49kzonNVSaQgghxHntKC5ha+kuAJ7qE7hdICBFECFEI7QhL5/RXy7C7q1mYHwQOq1G7ZSEaNZsbjd/2fIDbvR0d6wmpV1gjhG+HMFd7kcX0gZvzXGqds+9YGyoQc8XI37FrnF/5KZWrfyPz836jvxqWUZXCCFEw/sk5zCgoa25DRM6dlQ7nXolRRAhRKOyoySf4av/xTH7EX6wfcUvu4SonZIQzd49677gzdwlHKj6itur/0BQQmB/QnQpNDoTYde8CEDVrudwV2b/7HO6RUb6v/4w+zB/+v4dOn/wIgv37qm3PIUQQohz+fPV17Bz7J/4z/W3qZ1KvZMiiBCi0dhdlkdqxr+o8VTRwtiCz4ZPIMIklykh1LSt6Bjv56wD4GbX58REJqI1RamcVeMU1PaXGFveBB47FVsfq9Nz3V6FML2FKk8FD255gxs+eZuCGukKEUII0XB6REXW6lAMVPLXhRCiUfi++Bgpny+g0F5F36hW7P7Fw3S0yMSLQqjJ4XFz77fv4sXLoCAjj7newtRqhNppNVoajYbwAa+BRo8j92Nsh5df9HMndOzI4V/+gZtirwFgffF3dPrfi7y+b299pSuEEEJQ5nDw2dGjaqfRoKQIIoRQ3cdHjjBo1b8ocdRwTUwiX93yALHBoWqnJUSz93RWBrvK8mhhCmah8x9oNRDU7ldqp9WoGSK6E9r7zwBYN/8OT/Xxi35utNnEVyNv5z+D7iP8ZFfIA5v/w82r3qHSZa+vlIUQQjRjT27byMg1r3H9J2+rnUqDkSKIEEJV/zt0iF+tXYTda6ddcCtWD7+fSFOw2mkJ0ez979Ahnt/5NQCvdowlWqlAb+mGIbKHypk1fqG9nsAQ3R/FWU75hrtRvJ46Pf+erldx6JczuPFkV8iawkx6fvQSHx7ZhbuO+xJCCCHOx+1V2FRQhAYNfaICd0ncM0kRRAihmrd//JGJ6xfjUhwkmhPZPPoBLEaz2mkJ0exZHU7u3/QuXhSub9GL1PIVgHSBXCyN1kDE9W+h0QfjzPuSyu//XOd9xJjNrBl5O29ddx/tQiM5WlXGbV+/SfzyZ/jl6pVkFRfXQ+ZCCCGak015DroEpTAh/n6e6T9I7XQajBRBhBCqeHP/D0z69j+4FCftgtvy3dj7iQuWDhAhGoPb16ykzFVKsC6Ut67ugzNvDWi0BHe+V+3Umgx9xFVYBi0GoHrXc9iy372k/fym81XsGjeDmb1uIsYUQomjkg+OfcP41at4fls5mQUOvIpyJVMXQgjRDCiKwseHqgG4vXMCFpNR5Ywajl7tBIQQzc+ifXv53eb/4sFNx5D2bBt7H5Emk9ppCSGA/x7Yzxf5mwF4/urxROQsogYwtR6FLrSNusk1MeYOd+Aq/Y7q3S9Qvv4utKYYTAk313k/oQYTs/vdyl96D2Puju9ZcnALHU19+K7QyXeFThRtEYohm6f6JtMzOroezkQIIUSgWX7wCHvK7MQFxZDatnl1YksniBCiQbm9Hv78/So8uOkS2pHvxk2WAogQjUSxzcajW94DYHBMX37XPoqaA4sACOk2Rc3Umqywq+cQ1PY28DopWzMWZ+GmS96XWW/gr/2uJfv2R3lzaA9GtTcTZtCwvTyT/+Wu5bfrP7lyiQshhAhof8pcSXrpYkzm/YQYmldZoHmdrRBCdXqtjrUj7uOm2GvIHHsf4cbm03onRGP3q68+psJtJVQXzv9u+gVVO/4OXgfGuOsxtrxJ7fSaJI1WR8QNyzAmpKK4qynNGIbj+BeXvd+EUD1p3cP4580x3Nu1B23NbXi0e7J/+5rjx7njq1XsLi297GMJIYQILBnHDpNjy0WLjilJzW/CcxkOI4RoELtLS0mKigKgW2QkX428XeWMhBCn21FcwjdF3wPwyrW/Iqp6ByUnu0DCrn4WjUajZnpNmkZnIvLGDyn7+hc4T6ym9MtRWAa9TnDney5730adhiev7seTV/er9fjsHd/yVcFW3s35mihDNEkR7bghvj2/bNeZ3jEyZEYIIZqzf/ywDoBftOlLj6hIlbNpeFIEEULUK7tbYc73mTyz+32eSPoFf79moNopCSHOoXdMNOnDHuW9wz9wT4dWFH/6C0DB3HESxrjr1U6vydMaQoi6+VPKN9yNPfsdrN/+Fmfht1gGvIZGf+XHYg9t2ZEfK/LIseVS6irhm6ISvinK5JldEKYLZ2SbTtzUsgPXx3Wgq6WFFLmEEKIZ+PjIEZYe3szK3D1o0PBs/+bZ5SlFECHEFZdTWcWuYhd7SzTsKHKyv7oMLx4yThzg70gRRIjGaljr1gxNiKfs69vwVOxHG5xA+DUvqZ1WwNDojETcsJSqiG5Uff9XbD8uxlmwAcughZjih1zRY/2pbz/+1Lcf2RWVfJB9kK9OHGJH2VHyHflUeipYnv0dy7O/AyBMH0y74DaMb9uPuzon0S5cj1aKIkIIERAqnE6ez8pkyaFNnLCf8D/+0FXJdLXEqpiZeqQIIoS4IvJqKvgoZzfzdn3Pwaoj9A69iS7Bvvbs3hFd6Bjp5K2UW1TOUghxpkX79hIdFMT49h1QPE7K16fhyF0JWiORN36INkiGTlxJGo2WsN5/wdhiEOXrf4OnYj+l6SmYO6YR2mcW+rAOV/R47cPDmNG7LzN69wWgyGbji2NHOFB5lG8KDrOlKIdKdw27Kn5Am92SfQWtMOs1mAylfF+xhX7RrVlwffP8pFAIIZqy7UVF/O27DazO/w671waAFi1XR3bnpYFDuD6unboJqqjRF0H++c9/8sILL5CXl0ePHj145ZVXuP56acsVojHYXFDAfw7sZLf1BzYVHa21za0p4pedg7km3kTbsBZoNG1VylI0FLleNz1HKiv5/dZ3sXtr+L+y0dxx4g+4ireC1kBkynsYWwxQO8WAZUq4mRbj9lGZ+SdqDizEdugtbIffwdxpEiFXPYwhum+9HLeF2cxvOncDugFgc7v46MgRPss9RAt9Z0prNNjcCj9UnWBbxU4K7eXAT0WQuLdfwKjRkxAcTYfQGK6KiKFPdCzXtmhBy5CQeslZ1A+5ZgsRuMZ8sYJPTnzrvx+qC2dM62t4ut9gOlnCVcyscWjURZB3332XqVOn8s9//pPBgwezcOFCRowYwd69e2nTpo3a6QnRrHi9XgpsNrYVFbH04G7WFuylyFlYK2Zgi7bcHN+dka17kBwfr1KmQg1yvW6a3t5XTQtDG6o8eaTuGotLKUdjjCByyHJMrYarnV7A05oisAz6F+Yu91L13V9wnPgC24+Lsf24GEPMAILaTyAocSz68I71loNZb+DXnTrz606dAfAqCrmVHtbnd6DjsZtJDPnpzXKZw0GhowCAY/bjbC0Fck7bly6ItqHhxAaFEmsOpazGSJQplNSEXiRFxhJu1GLQuTHpvCSEmNFrdfV2XuLC5JotRGDJrarCrNMRY/bNMdUjMo5PTkDHkPY80HUQU3r0xKRv1H/6NyiNoiiK2kmcz4ABA7j66qtZsGCB/7Fu3boxbtw45syZc8HnVlRUYLFYsFqthIdLtUuIC3F7FcrsXkrtXtKP/8De8kLu7vxTIePpzK08s2sFbsVV63kaNLQPacddnXpyX9fetAqxqJG+KuQaU9vlXK9BXs/65vF6KbJXcaiinK0FxWSX5dJVG8E3ld3QKm7uKxtNd893GFvejGXQv9GHtVM75WbJWfAt1ftew57zIXh/ut7qwrtgjB2MMXYQ+qje6MO7ojU2/M+Jw+1m9fHjZJUUsre8iMOVJZywlVDsKMXmrTnv8663/JKWJt8wn2zbLrZVfk6X0I7s/9Xv/DFJH7yOUasnWG8iVG8izGAizBCExWgiPthMj6gQ32N6Ew6Pgf4xMRh0F19EkWtMbfIeW4imx+v1kmezcaSykhBdGG6vngqHl1f3rmFV3np+23Eor98wFPDNA5JVUsINLVuqnHXdNcQ1ptGWg5xOJ5mZmfzpT3+q9XhqaiobN2684sdTFC8u60G2lFaeN8aoUQg3/nS/2OGbNCzWFEKI3gBAldtJkaOGUL2enhE/tYVuKa7Ae5796jQKkcafalElTg2KoiHKaMZiMAFg87jIt1cTpNXRNyrUH/tdaSUO77n3rNFA9Gn7LXNq8QARhiAijUEAODweTtgr0Ws0XBP90zfZzrIqqj2e82SsIcb0036tTg0uBcL0RmJMwQC4vV5ybRUAJMf89IfxPms15S63fz9nijIqaE8+XOECp1dDsM5AXJDvtVQUhSM1VgD6R4Vh0GoBOFhlo8juOmt/p0QaFXS+UKpcYPdoCNLqaGkO88ccqS5HAfpEhhGs972xOlpt43iN47z7jTCC4eR+a9xQ7QaDRkfr4HDffwBwtMaKy+shyRJKpMn3fXK0ysaPlb43jF4FFBROvaJeRcFi9GLUKXgUBasDih0KWrT0ikjAq4AXyCo/QZnTxvCWcXSz+F6fbwvLeC8nlxqPG7vHg83jxu5xY/e6cXg8RJlcGHS+x0scbnKqnTi9HlKj7vWf09qyryl05RCjU7g2zPc9YNE4/QUQo8ZEp9BERrfsxANd2tMm5NSqBtV4aqrP+1qd25WceO/y96UxhKE1SDt3XTX09RrA66qmvLqUQrsT/D89J/89WdsP0oFR5/va6VGwe0Cj0dDCaD4ZrVDutOP0eok1GbAY9YBClctDnu30n3sFr/LT/s06xb9fl0ehxn3qd0GQb4UNRcHqcmD3eIg26Yg2GQCFGreHnBrnT+mekbdJpxCk9aIo4PR6KXf5fhfEGc3otFoURaHQaafM6aBVkIFOYUZQfPl+XVxNns3OkZpqjtlqyLPbKHLaKXPbcXqtlLsdeM74GRkZ/QAhOhhW8wp9YsIISfoEU+uRskqIioxxgzHGDcZjK8Ce/S723I9x5q/DU3EAW8UBbAff8MdqzfHoQtv5/g2KQ2uOQ2OMQKsPQWMIRaMP8d10QaDRgVaPRqMHrR40up++Ruv/fQW+4vZPd2p/L+jRMCJGx4iYlkBCrW15didHqyuxeWooctg4YathQ4GNEmcNgyIjMGgUKpyQbbcDYNGb8NTkA2Bze9hTcaBOr1X+2CnERrZGo9HW6XlCpWu2vYScygrsnvO9G6bWe+xqF3gUCNLpCT/5XtijeClx+OY16Bz+0+/q49V2as77nhXCDD99K9vc4PKCSavDcvK9sKIoFDl878nahwajP/lGNN/moNL/nvVsoQb871ntbnB6waDVEmn8abWnIkc1igJtgs2Y9L7v1WK7kzLn+d+zBuvhZCh2Dzg9oNdoiTL9tN8SRw0eRaFVcJD/PWuZw0Wxw3ne/Zr1P71ndXp8+9ZqNP737gBlThsur5e4IBPhRt+fiRVONwX2878X9v2u9X3t8vpeY4DYoJ/+j6xOOw6vhxiT0f9euMbt4XiN/eTv13PsVw+mk/m6Fd/3BEALU7B/4uYKlwObx020yUBMkO8byOb2kFNtP+c+FRRMWt++ATxeqDyZb7TRjOFkd1qly0G120WEyUBLs+/7z+Xxsq+i6uT7cMX/K9yrKHjx5Rpi8D3oUaDYruD0ekkwWzBqDXgUyLdVkV1dRutgMzfGx/jOzavw8r4fcSlenB4v5S4HBXYbJQ4bZS4bHqUGNL7rarHDhlvx/QwNibidOKNvqPlxmwEPbjYVHsJTkwRACDDYovFfZ9Wm0ZnQmhrPUryNtghSXFyMx+MhLi6u1uNxcXHk55/9n+lwOHA4fvoBraioqNPxFHc1BSuu4gam1TnXQeFjaR3UFYAc+z42V3xCW304mzx/9cfczBM4lPNfQM7l6tBhdAr2jQkucB5lXfm7ROvC2OWd5Y+5RfNXyrxVddpvj5DB9AgZDEC5u4iM0mUEaYI4zLP+mLHapznmqdtr2Ml8NVeH+aqPdm81K4uXAnBC89PKAnfoZrHXff5C07kkmrqSbBkL+H5RvV80H4CtmmW0xve9cK/+z2x02eq031hDG1Ii7/Df/6joPZyKnf/p1jDI+z0Av9fP4FNX3ZqlLLoYhkf/1n//85KPqfSU8pp+F7d5MgD4u/53LHEFn28X5xSkDWFMzMP++2vKNlDsOk7Z3uM87FkOwEp9Gv9w1X2WZ4/iwYgbi7eArjotsUoY0YdeofDAKgBuJoKVutZ09OQQSQVUAT/6boUX3HPTEnbNy4T2eEztNJqcul6v4fKv2baD/+GpzCz+4arbL1S9xsD4Fj/9H39T/in5zmx+byjhj+4lACzS3cZf3e3qtF+A8S0eQ6/xvbnbUrGKo/Y9TDQ4eNHtu2at0qYw2dOvzvsdFf0gwTpfkTqrcg0HbNsZbtDzhvt5AL7XdOc274if2YsGLV5isKPRxRGp1dKf9VwTFcXQQb/FFDm3znmJ+qMzxxHSfQoh3afgdZThLNyIs2gjrqLNuMv34rXl+2+NhQ44c0rXiae+KK39eDVB1FjNFL7nK8DbFSMPG35DJWYqMVKNkWoM1KDDpmjReK0YvQVUYaQKI6WaKJwft0OZWIKmEb2pbioa+j02QMnqVK4vG3uZ7y1trCz2da6c/t5yxBV5b+nb7+nvLSdckfeWb5z13vL+K/LecvlZ7y2fuIT3liZNMGNbPOK/v6bsY4pdx3hS/9N7y1f0dzLXVfchzhNiH/d//a01g+OOA9xnqOJv7oUALNfdyjR3tzrvd2zMo5i0voJQZuV6DtmyGGdQ+Kf7ZQC+0V7LHZ7/b+/+Q6us/z6Ovz7n9+bc3GatcnMEd5o677ydFgoGdoNmX/NHxVf4hihGsL80xMAKTIUUxLs/QgskEqIi7/6wIKIYaJtlFFlCd5ZpKDNNpb4tdZub55zP/ce2s9+648451znX5/kAcTs7++z9Ptd1Xuf43nVdpn9tm0crnlFpqPtC4P937VudaP9KD4djej/e/e+jX1WjBfafaa+7cMK/dEekWpL0S/svOn7tkP4zVKJPE9skSTdsUC/qubTWDJmwihLnNfnGnypJ/ql6e07PBI9r2dX/0eX/bUi7xlyI1ixTxX9/5HUZKXk7BOk1+DdS1tphf0u1c+dObdu2bWw/K1ymcDwy4teDNq6I+sLwuhkvKymqThXZ7lCPqVNhE1HUGJlw35EVkXioe2o4jIASitq+w0ivm3GyCiimrr51bUfPugGZcN/RC9FEQGEzfM1GScVs32/mO02xkgoqauMqSnavez3Z1rNuSCbYd4RJzJqbrGsVs32Dly4VKWFCiiqRWlfJ7nqNJBPqmwTHpBHXlaQi2/ci1qWYEiasiJRa11qb+v5AKCqjYllrFTPJm64bs9dkeh7/G4oqbiKKyCiW7HsxDpuQrCIKBkKS6f7tQMTYm64bte3qPr5GiiuiGyaqiAkqlvy757GSoiakThNV0Bgp0D1NLjIJxXp+Ru/9JJP6TcW45N+K6roCsoqbIrWbChUFIrorflIBJWSU1N0Bo1CwVBXmlBTorvE+XdKM0H8oapIKyyqmpCKKK6aEooprcvIXVSUvKKq4rClWR3CSau1Fzf73f6lU/x56LEWg+x90E9WmiTrZ/S7XZio2MnkmXmbWMhk9MsU9o81rKROZbXSro3/MoP3C9nyPscl+9+n9ICgT6n7zaHoGGemtKxmblOk55s/0nmkaiMhEK3u+b5xMYuSajWzq+wOSEgrLyChsOxS1AQXUnXVRE1UsKAV63lRFVa5xHcWKmZDKAkFNDBrdGbS6O5TQ5HBC98e6NLMsqrvL7lGkeJJCE2YoWFLLER8FIhAtV6zmH4rV/CN1W7Lrb8X/PqlE+29KdlzqGYhcUvLGFdl4m2z8muyNnr+TXVIyLtmErI1LybisTfS7rf9v0Pvt2wPOlh7h42HvM9LX+4wznRqnTvU+A2Pmhl6K7x/2vimDd1d23zHL6XtsBQYfWDTMffr2l1SuyqYyO/W3jNTvCKBb7QoDM7vvs9RrQf/91ATUncAZWLf/KiaQqjm9dQe+xgxatfuj1GOR/muiGWldM/AxTn/dQa+1Qx7jW5Z789faIdvODFj3Zu/n+r/WSlJSwZ514wrYeM9PsjLqft3tXTcoKWCD/dYZ2ERQCYXV2VO3UacpUUBG4+xfKksEFFBClbqmCYESTTRd/da1mhQoVdB073nFkspMXOW6rkq1q9pe1MzEMVWqQxXqUJkSKjEd0nAHXwfy+Mi4PDtqL2+vCdLV1aXi4mJ98MEHWrlyZer2DRs26Pjx42pqahpw/+Gm1DU1NZyvCCArOCe6T7p5LZHZAHKLzO7De2wA+SwXeZ1fI5l+IpGI6uvr1djYOOD2xsZGzZ8/f8j9o9GoSktLB/wBAGRfunktkdkA4BXeYwNwXV6fDrNx40atXr1ac+bM0bx587Rv3z61tLSooSE/z3UCAFeR1wBQOMhsAC7L6yHIqlWr9Oeff2r79u36/fffVVdXp08++US1tbVelwYA6Ie8BoDCQWYDcFneXhNkrDj3E0A2kTGZxeMJIJvImMzhsQSQTU5fEwQAAAAAACCTGIIAAAAAAAAn5PU1Qcai9yyfK1eueFwJAD/qzRafnlGYc2Q2gGwiszOHvAaQTbnIa98OQa5evSpJqqmp8bgSAH529epVlZWVeV1GwSOzAeQCmT125DWAXMhmXvv2wqjJZFIXLlzQ+PHjZYzxupy0XblyRTU1NTp37pyvLzpFn/7iWp8nTpzQ1KlTFQhwZuFYFXJmu7bf+71PyZ1eXeuTzM6MQs5ryb39nj79wbU+s53Xvj0SJBAIqLq62usyxqy0tNTXO3ov+vQXV/qcNGkSb6YzxA+Z7cp+70qfkju9utInmZ0ZfshryZ39nj79xZU+s53XvBIAAAAAAAAnMAQBAAAAAABOYAiSp6LRqF5++WVFo1GvS8kq+vQX+oSLXNkfXOlTcqdX+oSLXNkf6NNf6DOzfHthVAAAAAAAgP44EgQAAAAAADiBIQgAAAAAAHACQxAAAAAAAOAEhiAAAAAAAMAJDEF8YPfu3ZoxY4bq6ur0zjvveF1OVrW3t6u2tlabNm3yupSMWblypcrLy/XUU095XUpWnTlzRgsXLtT06dM1c+ZMtbW1eV1Sxoy0DV3ZtkgPmV3YXHlek9kAee0Hrjyvyez0MAQpcD/88IPee+89HTt2TN9++63eeOMNtba2el1W1rzyyit66KGHvC4jo9avX6+3337b6zKybu3atdq+fbtOnDihpqYmX/0XXyNtQ1e2LUaPzC58rjyvyWy4jrz2B1ee12R2ehiCFLiffvpJ8+fPVywWUywW06xZs/Tpp596XVZWnDp1Sj///LMee+wxr0vJqIULF2r8+PFel5FVP/74o8LhsBYsWCBJqqioUCgU8riqzBlpG7qwbZEeMrvwufC8JrMB8tovXHhek9npYwiSZc3NzXr88cd1zz33yBijDz/8cMh9Xn/9dd17772KxWKqr6/XkSNHRr1+XV2dDh8+rNbWVrW2turQoUM6f/58BjsYnWz3KUmbNm3Szp07M1RxZuSi73ww1j5PnTqlkpISLVu2TLNnz9aOHTtyWP3NubINMTpkdh8yu3Cf72R24W9D3Bp53cePeS2583wns3O/DRmCZFlbW5seeOAB7dmzZ9ivHzhwQM8995xeeuklff/991qwYIGWLFmilpaW1H3q6+tVV1c35M+FCxc0ffp0rV+/Xo888ohWrlypuXPnejL5y3afH330kaZMmaIpU6bkqqVRyUTfhWCsfd64cUNHjhzR3r179dVXX6mxsVGNjY25bGFErmxDjA6Z3Y3MLuznO5ld+NsQt0Zed/NrXkvuPN/JbA+2oUXOSLIHDx4ccNuDDz5oGxoaBtx2//33282bN9/Wz3jmmWfsxx9/fLslZkQ2+ty8ebOtrq62tbW1trKy0paWltpt27ZlquSMGEvfhw8ftk8++WS2S8yI2+nz6NGjdvHixamv7dq1y+7atSvrtaYrG9uwkLYtBiKzyWxryWxryWzkP/La33ltLZlNZmc2szkSxENdXV06duyYFi1aNOD2RYsW6ejRo6Ne5/Lly5KkkydP6ptvvtHixYszWudYZaLPnTt36ty5czp79qx2796tZ599Vlu2bMlGuRmTqe2b70bT59y5c3Xp0iX99ddfSiaTam5u1rRp07woNy2ubEOMDplNZvsBmQ0XkNf+zmvJnec7mZ0d/rliSgH6448/lEgkVFVVNeD2qqoqXbx4cdTrrFixQq2trRo3bpz279+fdxfCyVSfhWa0fS9evFjfffed2traVF1drYMHD2ru3Lm5Lve2jabPUCikHTt26OGHH5a1VosWLdLSpUu9KDctY92Ghb5tMRCZTWZLZHY+I7PRi7z2d15LZDaZPbbMzq9nsqOMMQM+t9YOue1mCmXaOdY+e61duzZDFeXGrfr+7LPPcl1SVtyqzyVLlmjJkiW5Lisjbncb+mXbYiAyOz1kdn4is4fyy7ZFH/I6PYWW1xKZ3YvMTg+nw3ho4sSJCgaDQya1ly9fHjIRK2Su9DmYK337uU8/94b0ubI/uNLnYK707ec+/dwb0uPKvuBKn8NxpXc/9+llbwxBPBSJRFRfXz/k6r2NjY2aP3++R1Vlnit9DuZK337u08+9IX2u7A+u9DmYK337uU8/94b0uLIvuNLncFzp3c99etkbp8Nk2bVr13T69OnU52fOnNHx48dVUVGhyZMna+PGjVq9erXmzJmjefPmad++fWppaVFDQ4OHVafPlT4Hc6VvP/fp596QPlf2B1f6HMyVvv3cp597Q3pc2Rdc6XM4rvTu5z7ztre0/z8ZpOXw4cNW0pA/a9asSd1n7969tra21kYiETt79mzb1NTkXcG3yZU+B3Olbz/36efekD5X9gdX+hzMlb793Kefe0N6XNkXXOlzOK707uc+87U3Y621tzk/AQAAAAAAKBhcEwQAAAAAADiBIQgAAAAAAHACQxAAAAAAAOAEhiAAAAAAAMAJDEEAAAAAAIATGIIAAAAAAAAnMAQBAAAAAABOYAgCAAAAAACcwBAEAAAAAAA4gSEInLJ161bNmjXL6zIAALdAXgNA4SCzUUiMtdZ6XQSQCcaYm359zZo12rNnjzo7O1VZWZmjqgAAg5HXAFA4yGz4DUMQ+MbFixdTHx84cEBbtmzRyZMnU7cVFRWprKzMi9IAAP2Q1wBQOMhs+A2nw8A37rrrrtSfsrIyGWOG3Db4UL21a9dqxYoV2rFjh6qqqjRhwgRt27ZN8Xhczz//vCoqKlRdXa233nprwM86f/68Vq1apfLyclVWVmr58uU6e/ZsbhsGgAJFXgNA4SCz4TcMQeC8Q4cO6cKFC2pubtarr76qrVu3aunSpSovL9fXX3+thoYGNTQ06Ny5c5Kk9vZ2LVy4UCUlJWpubtYXX3yhkpISPfroo+rq6vK4GwDwL/IaAAoHmY18xRAEzquoqNBrr72mqVOnat26dZo6dara29v14osv6r777tMLL7ygSCSiL7/8UpL0/vvvKxAI6M0339TMmTM1bdo07d+/Xy0tLfr888+9bQYAfIy8BoDCQWYjX4W8LgDw2owZMxQI9M0Dq6qqVFdXl/o8GAyqsrJSly9fliQdO3ZMp0+f1vjx4wesc/36df3666+5KRoAHEReA0DhILORrxiCwHnhcHjA58aYYW9LJpOSpGQyqfr6er377rtD1rrjjjuyVygAOI68BoDCQWYjXzEEAdI0e/ZsHThwQHfeeadKS0u9LgcAMALyGgAKB5mNXOGaIECann76aU2cOFHLly/XkSNHdObMGTU1NWnDhg367bffvC4PANCDvAaAwkFmI1cYggBpKi4uVnNzsyZPnqwnnnhC06ZN07p169TR0cHUGgDyCHkNAIWDzEauGGut9boIAAAAAACAbONIEAAAAAAA4ASGIAAAAAAAwAkMQQAAAAAAgBMYggAAAAAAACcwBAEAAAAAAE5gCAIAAAAAAJzAEAQAAAAAADiBIQgAAAAAAHACQxAAAAAAAOAEhiAAAAAAAMAJDEEAAAAAAIATGIIAAAAAAAAn/D+G8MH4wf0ocgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 1100x300 with 3 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u0=[1; 1e-100; 1e-100]\n",
    "N=20\n",
    "tt=10 .^range(log10(T_0),stop=log10(T_end), length=N);\n",
    "\n",
    "tout,uuRK2=SIRK2(SIf,SIg, tt,u0)\n",
    "tout,uuRK3=SIRK2(SIf,SIg, tt,u0)\n",
    "\n",
    "fig, axs = plt.subplots(1,3,figsize=(11, 3))\n",
    "coefs=[1, 1, 1]\n",
    "for k=1:3\n",
    "    axs[k].semilogx(tref,uref[k,:]*coefs[k],label=\"reference\")\n",
    "    axs[k].semilogx(tout,uuRK2[k,:]*coefs[k],label=\"SI-RK2\")\n",
    "    axs[k].semilogx(tout,uuRK3[k,:]*coefs[k],label=\"SI-RK3\")\n",
    "    #axs[k].legend()\n",
    "    axs[k].set_title(\"u$(k)\")\n",
    "    axs[k].set_xlabel(\"Time\")\n",
    "end\n",
    "axs[1].legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"motivationalRobertson5.pdf\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "162561112933211712730223426138353621415313218192027239324284105"
     ]
    }
   ],
   "source": [
    "αs = range(0.5,stop=4,length=36)\n",
    "\n",
    "l1=length(αs)\n",
    "\n",
    "AA=zeros(l1)\n",
    "QQ=zeros(l1)\n",
    "Threads.@threads for i1=1:l1\n",
    "    α=αs[i1]\n",
    "    print(i1)\n",
    "    AA[i1]=α\n",
    "\n",
    "    try\n",
    "        tout,uu=mPRK22(prod_dest, rhs_function, tt,u0, α)\n",
    "        QQ[i1]= overshootMeasure(uu[1,2])\n",
    "        if isnan(tmp)\n",
    "            QQ[i1]=1.0\n",
    "        end\n",
    "    catch e\n",
    "        QQ[i1]=1.0\n",
    "    end\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAG2CAYAAACtaYbcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAABlf0lEQVR4nO3deXwU9f0/8NfMzl657wtCCDcESCDchwooCpZWpUhrK1XRr5T6pUr9WpFfbdVaWkVLrcXaKlVbtaj1qkUxVRAIIGc4g1wJCeQ+N+deM78/NlkISSCb7O7s8Xo+HnnAzs7OvGez2X3v53h/BEVRFBARERGpRFQ7ACIiIgpuTEaIiIhIVUxGiIiISFVMRoiIiEhVTEaIiIhIVUxGiIiISFVMRoiIiEhVTEaIiIhIVUxGiIiISFVMRohIdceOHcPy5csxdepUhIaGQhAEbN261aVjHDhwANdffz3CwsIQFRWF2267DWfPnvVMwETkVkxGiEh1+/btw4cffoiYmBjMmTPH5cefOHEC1113HSwWC9555x1s2LABJ0+exMyZM1FZWemBiInInQSuTUNEapNlGaLo+G703nvvYdGiRdiyZQuuu+66Hj3+9ttvx5YtW3DmzBlEREQAAM6dO4ehQ4fioYcewu9+9ztPhU5EbsCWESLqkU8++QTZ2dkwGAwYMGAA1qxZAwC4+eabcdddd/Xp2O2JSG/YbDZ88sknWLhwoTMRAYC0tDTMmjULH3zwQZ9iIyLPk9QOgIh83wcffICFCxfitttuw9NPP429e/fiscceQ1hYGHJycpwf+IqiwG639+iYkuSet58zZ86gpaUFY8eO7XTf2LFjkZOTg9bWVhgMBrecj4jcj8kIEV3V448/jpSUFPzzn/+EJEm46aabsGvXLjzyyCMIDQ3FDTfcAAB4/fXXcffdd/fomO7qIa6urgYAxMTEdLovJiYGiqKgtrYWycnJbjkfEbkfkxEiuqKGhgYcPXoUP/7xjzu0Ztx444349NNPsXjxYuh0OgDAggULsHfvXlXiFAShV/cRkfqYjBDRFTU0NAAA+vXr12H7+PHjAQCLFi1ybouJiUFkZKT3ggMQGxsL4GILyaVqamogCAKioqK8GhMRuYYDWInoihITEyFJEurq6jpsLygoAIAOH/Svv/46tFptj37cZfDgwTAajThy5Ein+44cOYIhQ4ZwvAiRj2PLCBFdkUajwdixY5Gbm9th+xtvvAEAOHToEKZPnw5AnW4aSZKwYMECvP/++3jmmWcQHh4OACgqKsKWLVvw0EMPeTUeInId64wQ0VW11/747W9/i2XLluHDDz/E0qVLkZ2dDVmWsW3bNhiNxl4fv7m5GZs2bQIA7N69G8899xx+9atfISMjA6GhoZg3b55z3yFDhgAATp8+7dx24sQJTJw4EePHj8ejjz6K1tZWPP7446ipqUFeXh7i4+N7HRsReR6TESLqkZdffhnPP/88CgoKEBUVhTVr1mD27Nn4/ve/jz179uDs2bMYOHBgr45dWFiI9PT0Lu9LS0tDYWGh83b7OS7dBgD79+/Hz3/+c+zatQuSJGH27NlYu3YtBg8e3KuYiMh7mIwQERGRqjiAlYiIiFTFZISIiIhUxWSEiIiIVMVkhIiIiFTFZISIiIhUxWSEiIiIVOUXFVhlWUZJSQnCw8O54BUREZGfUBQFDQ0NSElJgSh23/7hF8lISUkJUlNT1Q6DiIiIeqG4uBj9+/fv9n6/SEba15ooLi5GRESEytEQERFRT5hMJqSmpjo/x7vjF8lIe9dMREQEkxEiIiI/c7UhFhzASkRERKpiMkJERESqYjJCREREqmIyQkRERKpiMkJERESqYjJCREREqmIyQkRERKpiMkJERESqYjJCREREqmIyQkRERKpyORnZtm0bFixYgJSUFAiCgA8//PCqj/nqq6+QnZ0Ng8GAQYMG4c9//nNvYiUiIqIA5HIy0tTUhMzMTLz44os92r+goADz58/HzJkzcfDgQTz22GNYsWIF/vWvf7kcLBEREQUelxfKmzdvHubNm9fj/f/85z9jwIABWLduHQBg5MiR2LdvH9auXYuFCxe6enq3sjedh2w1qRoDUc9ceZGpjnsKgCA4HtP+LwRAEJ3bhE73XbZf+z6X3idKEKRQCAJ7d8m/yIoMqyzDKtthle2wKY7/KwqgQAEAGDVaxBpCAQCKouBcYy0AIDU0ChrR8ZqvbG1EvaXVuY/SdnwFSodjXSpE0iItLMZ5+5v6CsiKgkHhsdBrHB/BFS0NqDI3uXRNelHC4Ig45+3TpipYZBsGhsUgRNIBAKpbm1De2tCj46WGRiFca3ApBnfy+Kq9u3btwty5cztsu/HGG/Hqq6/CarVCq9V2eozZbIbZbHbeNpk8kzCY9j2C1oK3PXJsosAkQNCGQdBGQNRGQNBGQNCGQ9S1/799e7jj/7pL9mnfX9e2j0av9sWQDzttqsLrp/fhSG1pWxLhSCAWpo3BA6NmAADKWxpw3acvQQBw/LZHnI+946s38XHRMWfSISudk4TLfS89C29f90MAgF2Rkf7ebwAANXc8iWh9CABg9f5P8deTX7t0HXOSh+K/N93vvD31kz+i1tKCE7c9guGRCQCAF47vwNOHv3DpuGOik3H4lp85b9+c8ypOmiqxff5PMCMxHQDw5tkD+OnXH/XoeB/PuRsLBmS4FIM7eTwZKSsrQ2JiYodtiYmJsNlsqKqqQnJycqfHrFmzBk888YSnQ4OoDYeoj7v6jkRu1tU3qCvt3fNdFcf+7f9e9n9Fkbu97+L/rxK5tQGKtQEyLrhwDV0Qtc7kRZd0LcIyfwkpfGDfjkl+rclqxnuFh7Hh1F5sKz/b5T6jo5Oc/1cUBSfqK9pa8S4y221oslmueC5RECC2PU4QBEhixxY/o6bzF2WjRotwrd55PkHAxf+3HefyNswIbcekO0YfAlEQoLmkhTFE0iFOH3rFeC8XrTN2vK03Ik4fCumS4xo12h4fV6fxeDpwRYKi9CBl7O7BgoAPPvgAt9xyS7f7DBs2DHfffTdWrVrl3Jabm4sZM2agtLQUSUlJnR7TVctIamoq6uvrERER0dtwiagHlG4SGkW2OhIRWwMUiwmy1QTFaoJsbYBiNV2yraFtu+mS7W37WE1QbN00R4s6hI58AGFjHoNoiPXiFZOaFEXBropz2HBqDzYWHEKjzfHeLwoC5qYMw7dSRyFE0kIraqAVNBgWGY9xsf0AABa7Dbsqz0EraDA1IQ2C4EgFSprr0Wq3QRJEx+NETdv/HbclUYTI7kavMJlMiIyMvOrnt8dToaSkJJSVlXXYVlFRAUmSEBvb9RuOXq+HXs8mXCI1CM7xJpdt1+gAbSiAzl8gXKHIdii2RkfCYjFBbr6AxqO/g6X0SzQdex7NJ19F2NhVCB25AoJkvPoByW/9t+QkHtj9Ab6pr3RuGxwei3uGTsKSIdnoHxp1xcfrNBKuTRrcaXtKSKS7QyUP83gyMnXqVPz73//usO3zzz/HhAkTuhwvQkSBTRA1EHSRgC4SmlAA0RnQpdwA84XNaNj/c9hqD6Nh/6Noyn8R4eOehHHwEgiiRu2wyQ2ssh31llbEtQ0UjdWH4pv6SoRIWiwamIl7hk7EzMRBzhYOCh4ut1M1NjYiLy8PeXl5ABxTd/Py8lBUVAQAWLVqFZYsWeLcf9myZTh37hxWrlyJ/Px8bNiwAa+++ioefvhh91wBEfk9QRBg6H8T4hYcQOSM16EJHQC5+Tzqc+9B1ceZaC3+BH3oUSYf8G7BIfTb+CQe3nvxy+m42H7YeN0PUbr4l3ht5vdwTdJgJiJByuVkZN++fRg3bhzGjRsHAFi5ciXGjRuHxx9/HABQWlrqTEwAID09HZs2bcLWrVuRlZWFp556Ci+88ILq03qJyPcIogYhQ5Yg/tZvED5hLQRdNGx1x1D7xQLUfHYdLJWuzWQg9dRbWlDWfHEmZL+QSFS2NmFHeQHssuzcfnt6FiJ06k0pJd/QpwGs3tLTATBEFFhkcy0aj/wWTcf/AMiOgY2GtO8iPPs3kCKGqhwdXU5WZGwtPYO/nd6L9woP464hE/HSNMcXT0VR8HnJScxJHgKJ3W5Bo6ef30xGiMjn2RuL0JD3S7Scfh2AAggSQob/D8IyH4fGmHjVx5NnFTXW4rXTe/G3U3tR2FYsDACmJQzEjvk/YddLEGMyQkQBx1p7BA37H4X5/CYAgCCFIXT0wwjN+BlEbZjK0QWnN07vwz073oFdcXS9RGgN+P6gLNwzdBImxqUyEQlyTEaIKGCZS7eiYf8jsFbtBQCIhgSEZf0SIcPugyBylp637CwvxHWfvQSrbMfMxHT8z/ApuC1tjLMcORGTESIKaIqioLXwXTQceAz2hjMAAE3EUISP/w0MaQv5jdzDihvrMPGTP6C8pQEL08bgnVl3spAYddLTz2++cojILwmCAGP67Yi/5TgiJv8RoiEedtMp1G1dhOr/TIW5bJvaIQasZpsFt3z5N5S3NGBsdDJem/k9JiLUJ3z1EJFfEzSOMvLxt51GWOYvIEghsFZ9jZrPrkXNF9+GbKlXO8SAoigKlu54BweqLyBOH4qP5tyNMC0rZlPfMBkhooAg6iIQPu5JxN92BiHDlwGCBubif6PxyO/UDi2gfFR0DP8syIMkiHhv9hIMDI9ROyQKAExGiCigaEKSEDn1JUTNeB0A0Hr2LVZvdaPvDMjAmuz5eHHKrV2uC0PUG+quGUxE5CGGtFsh7AqDvekcrJW7oEuYpnZIAUEQBDw6drbaYVCAYcsIEQUkQQqBIe1WAEDL2TdVjsa/1Zib8dPdH6LRalY7FApQTEaIKGAZB/0AANBa8A4U2apyNP7rR9vfxgv5O3DHV0zqyDOYjBBRwNIlz4FoSIBsroK5JEftcPzWqjFzMDg8Fr8ef5PaoVCAYjJCRAFLECUY0hcDAFrOvqVyNP5rWuJAnLjtEYyNSVE7FApQTEaIKKAZ0+8AAJiLPoRsbVI5Gv/xdeU5HKopcd7mSrvkSUxGiCigaeMnQxM+CIqtCebij9UOxy+cb6rDd754DdP+80fklheoHQ4FASYjRBTQHGXjHa0j7Kq5uhabFbd88RrKWxowODwOmeyaIS9gMkJEAc8wqK2r5sJnkFurVI7GdymKgqW572B/9XnE6kPw0Zy7WOqdvILJCBEFPG3USEgx4wDFhpbC99QOx2c9c2QL3j570FHqfdYSpIfHqh0SBQkmI0QUFIyD2rtqWCujK/8pPo5V+z8FALww5RZclzxE5YgomDAZIaKgYEz/HgAB1oodsDWeUzscn5JfV47vf/UmFCi4f/gU/HgES+eTdzEZIaKgoAntD13StQCA1rNvqxyN76g1N+Pb//0bGqxmXJM4CC9MvkXtkCgIMRkhoqDRXh6+pYCzagDAJtvxva3/wOmGKqSFReO92Uug03D9VPI+JiNEFDQMaQsBUQdb7RFYa4+oHY7qfr7vP/i85CRCJC0+mnM34g1haodEQYrJCBEFDVEfDX3/+QBYc+Sz8yfw/LFtAIA3Zn6f9URIVUxGiCiotM+qaT37NhRFVjka9VyfMhQ/y7gWj2fdgIUDx6odDgU5dg4SUVAx9P8WBG047E3nYK3YCV3iDLVDUoUkarB20gIoiqJ2KERsGSGi4CJIRhgG3AYg+LpqWmxWrDn8BSx2m3ObIAgqRkTkwGSEiIKOswBa4TtQZKvK0XjP/Tvfw2P7P8Xirf9QOxSiDpiMEFHQ0SXPhmhIhGKuhvnC52qH4zXfS89CrD4EK0YFZ9cU+S4mI0QUdARRgiF9MYDgKg8/P3UkChY9hlks9U4+hskIEQWl9gJo5uKPIFsbVY7Ge8K1BrVDIOqEyQgRBSVt3ERowgdDsTXDXPSR2uF41MazeVhz+Ascqy1TOxSiLjEZIaKgJAhC0JSH33BqDx7b/ym2lp1ROxSiLjEZIaKgZUz/PgDAfGEz7K2VKkfjGXZZxu7KIgDAtISB6gZD1A0mI0QUtKSoEZBixwOKHa2F76odjkccqyuDydqKMEmPMdFJaodD1CUmI0QU1JxdNQFaAC23ohAAMCVhACRRo24wRN1gMkJEQc04cDEAAdaKXNgaCtUOx+12tiUj7KIhX8ZkhIiCmia0H3TJswAArQVvqxyN++WWFwIApjMZIR/GZISIgp4xva08/Nk3A2rhuNJmEwoaayAKAqbEp6kdDlG3mIwQUdAzpC0ERB1sdcdgqz2idjhuk1tRAAAYE52MCB2LnZHvYjJCREFP1EdB3/9mAIFVHn5nxTkAwLQEtoqQb2MyQkSES2bVFLwNRZFVjsY9cssdLSPTE9JVjoToypiMEBEBMPSfD0EbAbmpGNaKXLXD6bNmmwUHqi8A4OBV8n1MRoiIAAiSEYa02wAALWf8v6tmX1UxbIqMZGME0sKi1Q6H6IqYjBARtXF21Zx7F4rdonI0fZMSEonHxs7B/cOnQBAEtcMhuiJJ7QCIiHyFLmkWRGMS5JYymEs2w5C6QO2Qem1IRByezp6ndhhEPcKWESKiNoKogTH9ewACtzw8kS9iMkJEdAnDIEcBtNaijyBbG1SOpndKm034T/Fx1Jib1Q6FqEeYjBARXUIbOwGaiKGAvQWtRR+pHU6v/Od8Pr713w247cvX1A6FqEeYjBARXUIQBGd5+FY/LYAmQsCwiHjWFyG/ISh+sBCDyWRCZGQk6uvrERERoXY4RBTgbPUnUfnBcEDQIOH2EmiMCWqH1CuyIkMU+J2T1NPTz2++SomILiNFDoM2dgKg2NFa+K7a4fQaExHyF3ylEhF1oX0gq7+tVdNgbYVNtqsdBpFLmIwQEXXBMcVXgLVyF2wNZ9UOp8eeyvsvot98HM8f/UrtUIh6jMkIEVEXNCHJ0CXPBgC0nH1b5Wh6LreiEI02M2L1IWqHQtRjTEaIiLrRXh6+9eyb8IOx/jDbbdhXVQwAmMbF8ciP9CoZWb9+PdLT02EwGJCdnY3t27dfcf8333wTmZmZCAkJQXJyMu6++25UV1f3KmAiIm8xpN0GiHrY6vNhqzmkdjhXtb/qPCyyHfGGUAyJiFM7HKIeczkZ2bhxIx588EGsXr0aBw8exMyZMzFv3jwUFRV1uf+OHTuwZMkSLF26FMeOHcO7776LvXv34t577+1z8EREniTqImFI/RYAoKXA98vD51YUAACmJ6RzcTzyKy4nI88//zyWLl2Ke++9FyNHjsS6deuQmpqKl156qcv9d+/ejYEDB2LFihVIT0/HjBkzcP/992Pfvn19Dp6IyNMuzqp5G4oiqxzNle2sOAcAmJaQpnIkRK5xKRmxWCzYv38/5s6d22H73LlzsXPnzi4fM23aNJw/fx6bNm2CoigoLy/He++9h5tvvrnb85jNZphMpg4/RERqMPSbD0EbCbn5PCzlV+6SVpOiKB1aRoj8iUvJSFVVFex2OxITEztsT0xMRFlZWZePmTZtGt58800sXrwYOp0OSUlJiIqKwh//+Mduz7NmzRpERkY6f1JTU10Jk4jIbQTJAMPAhQCAVh9eyfe0qQqVrU3QayRkx/VXOxwil/RqAOvlfZGKonTbP3n8+HGsWLECjz/+OPbv34/PPvsMBQUFWLZsWbfHX7VqFerr650/xcXFvQmTiMgt2teqaSl8F4rdonI0XcutKAQATIjtD71GUjcYIhe59IqNi4uDRqPp1ApSUVHRqbWk3Zo1azB9+nT83//9HwBg7NixCA0NxcyZM/HrX/8aycnJnR6j1+uh1+tdCY2IyGN0SddBNCZDbimF+cJnMAz4ttohdbKzLRnhlF7yRy61jOh0OmRnZyMnJ6fD9pycHEybNq3LxzQ3N0MUO55Go9EAgF/M2yciEkRNW0VW3y0P394yMp3JCPkhl7tpVq5ciVdeeQUbNmxAfn4+HnroIRQVFTm7XVatWoUlS5Y491+wYAHef/99vPTSSzh79ixyc3OxYsUKTJo0CSkpKe67EiIiD3IWQCv+GLK1QeVoOqoxN+N4XTkAYFriQHWDIeoFlzsWFy9ejOrqajz55JMoLS3F6NGjsWnTJqSlOaaSlZaWdqg5ctddd6GhoQEvvvgifvaznyEqKgqzZ8/G7373O/ddBRGRh0mx46GJGAa76SRaz32AkCFLrv4gLzlaWwqNIGJQeAziDWFqh0PkMkHxg74Sk8mEyMhI1NfXIyIiQu1wiChINeQ9ica8X0KfciNi5n6mdjgdNFrNON9UjxFRCWqHQuTU089vrk1DRNRDxrYCaObS/8LeUq5yNB2FafVMRMhvMRkhIuohKWIItHGTAMWO1sJ31A6HKGAwGSEickF760jLGd+YVbO/6jymfPICnjj4udqhEPUakxEiIhcYBi4CAFirvvaJWTXby8/i68oi7K1icUjyXyzTR0TkAk1ICsSQFMjNJbDVHoEuoesaS95ye3om4g1hiNWHqBoHUV8wGSEicpE2OhPm5hJYaw6pnoykhETiB4PHqxoDUV+xm4aIyEVS9FgAgK32sMqREAUGJiNERC7SxmQCAKw1h1SNY1vZGTx7ZAsO15SoGgdRXzEZISJykdSWjNhqD0NRZNXi+GdBHh7Z9x+8dnqfajEQuQOTESIiF0kRwwBRD8XWBHtDgWpx5JYXAuDieOT/mIwQEblIECVI0RkAAGutOl01JksrjtSWAQCmMRkhP8dkhIioF7TRbV01NeoMYt1deQ4KFKSHxSA5hGt2kX9jMkJE1Avathk1arWM5FYUAgCmJw5U5fxE7sRkhIioF5yDWFWaUbOzLRlhFw0FAiYjRES90N4yYm8sgGwxefXcNtmO3RVFADh4lQIDkxEiol4QDbEQQ/oBAGy1R7x67iO1ZWi0mRGhNSAjKsmr5ybyBCYjRES95Cx+5uVxI7nljunEU+IHQCPybZz8H1/FRES9JKk0o2Zn5TkAHLxKgYPJCBFRL6k1o6a9ZWR6QrpXz0vkKUxGiIh66WJZ+CNeKwt/vqkORU11EAUBk+MHeOWcRJ4mqR0AEZG/kiKGAhpDW1n4s5Aihnj8nAIE/N/o61BlbkKYVu/x8xF5A5MRIqJeEkQJ2qgMWKv3w1pzyCvJSL/QSDwz8VsePw+RN7GbhoioDy521ahT/IwoEDAZISLqg/Y1aqxemFHTbLPg8wvfwGRp9fi5iLyJyQgRUR9IbTNqvNEy8nVlEW78/K8Y+9FzHj8XkTcxGSEi6oP2wmf2xkLIlnqPnqve0or0sBhMiU/z6HmIvI0DWImI+kDUR0MMTYXcVAxb7RHoEmd47Fy3pI3GLWmjYbbbPHYOIjWwZYSIqI+cxc+8tIKvXsPvkRRYmIwQEfWR5IU1asx2G2QvFVYj8jYmI0REfaT1who1r53ai5i3Hsdj+zd57BxEamEyQkTUR+3dNLa6I1Bku0fOkVtRiHpLKySBb9sUePiqJiLqI03EUEBjhGJrhr3hjEfOkVtRCACYljDQI8cnUhOTESKiPhJEDbTRowEA1lr3d9WUNZtwtqEaAgRMTeC0Xgo8TEaIiNzAWfzMAzNqdlacAwCMjk5CpM7o9uMTqY3JCBGRG2g9OKMmt6IAADCdXTQUoJiMEBG5wcWWEfd307SPF5meONDtxybyBUxGiIjcoH1Gjb3pHGRznduO22Kz4kD1BQAcvEqBi8kIEZEbiPpoaEIHAHDvINZ9VcWwynYkGcORHhbjtuMS+RImI0REbnJxBV/3JSPOLpqEgRAEwW3HJfIlTEaIiNzEOYjVjTNqnINXE9PddkwiX8NkhIjITdrXqLG5aUaNrMjOab3TWF+EAhiTESIiN3Gu3lt71C1l4Qsba1FrboFBI2FcTL8+H4/IV3EdaiIiN9GEDwE0RsDeAnvDaUiRw/t0vEHhsai540mcqK+ATsO3awpcbBkhInITR1n4MQDcN24kSm/EFHbRUIBjMkJE5EaemFFDFOiYjBARuZG7ZtRUtTZh5qY/4dF9/4GsyO4IjchnMRkhInIjd61Rs7OiEDvKC/Bx0TGIAt+qKbBxRBQRkRtJUY4xI3JTMWRzLUR9dK+OMykuFRtm3A4NExEKAkxGiIjcSNRHQROaBnvTOVhrD0OfdG2vjpMUEoG7h05yc3REvokpNxGRm10sfsZBrEQ9wWSEiMjNnMXPejmI9Zv6Cvzh2HYcqilxZ1hEPovJCBGRmzlbRnqZjHxSfBwP7vkIvzy42Z1hEfksJiNERG7mnFFT17uy8LnlhQAcK/USBQMmI0REbqYJGwRBCgHsrbCbTrn0WEVRsLOyfXG8gR6Ijsj3cDYNEZGbCaIGUtQYWKu+hrX2EKSoET1+7NmGapS3NEAnapAd29+DUQYPu90Oq9WqdhgBSavVQqPR9Pk4TEaIiDxAG5PZlowchjF9cY8fl1tRCACYEJcKg6T1UHTBQVEUlJWVoa6uTu1QAlpUVBSSkpIgCEKvj9GrZGT9+vV49tlnUVpaioyMDKxbtw4zZ87sdn+z2Ywnn3wS//jHP1BWVob+/ftj9erVuOeee3odOBGRL3OuUePiINb28SLTuDhen7UnIgkJCQgJCenThyV1pigKmpubUVFRAQBITk7u9bFcTkY2btyIBx98EOvXr8f06dPx8ssvY968eTh+/DgGDBjQ5WNuv/12lJeX49VXX8WQIUNQUVEBm83W66CJiHxdb9eo2dnWMjI9Id3dIQUVu93uTERiY2PVDidgGY1GAEBFRQUSEhJ63WXjcjLy/PPPY+nSpbj33nsBAOvWrcPmzZvx0ksvYc2aNZ32/+yzz/DVV1/h7NmziImJAQAMHDiwV8ESEfkLKbqtLHzzecjmGoj6mKs+ps7cgmN15QDYMtJX7WNEQkJCVI4k8LU/x1artdfJiEuzaSwWC/bv34+5c+d22D537lzs3Lmzy8d8/PHHmDBhAp555hn069cPw4YNw8MPP4yWlpZuz2M2m2EymTr8EBH5E1EXCU3YQACAtaZnlVh3VRZCgYIh4XFIMIZ7MLrgwa4Zz3PHc+xSMlJVVQW73Y7ExMQO2xMTE1FWVtblY86ePYsdO3bg6NGj+OCDD7Bu3Tq89957+MlPftLtedasWYPIyEjnT2pqqithEhH5BCm6vSx8z7pqdlY4pvROTxzoqZCIfFKv6oxcngUpitJtZiTLMgRBwJtvvolJkyZh/vz5eP755/Haa6912zqyatUq1NfXO3+Ki4t7EyYRkaqc40Z6uEbNweoLAICJcfwCRsHFpTEjcXFx0Gg0nVpBKioqOrWWtEtOTka/fv0QGRnp3DZy5EgoioLz589j6NChnR6j1+uh1+tdCY2IyOe4OqPmcG0pACAzJsVjMRH5IpdaRnQ6HbKzs5GTk9Nhe05ODqZNm9blY6ZPn46SkhI0NjY6t508eRKiKKJ/fxb0IaLAdbFl5CgU+cozCO2yjO8MyMCMxHSMiU7yRnhEPsPlbpqVK1filVdewYYNG5Cfn4+HHnoIRUVFWLZsGQBHF8uSJUuc+99xxx2IjY3F3XffjePHj2Pbtm34v//7P9xzzz3OKUFERIFIEz4IghQKyGbYrlIWXiOK+OOUW7F9/k8QqeN7Y7D77LPPYDQaO5TByM/PhyAIqKqqUjEyz3B5au/ixYtRXV2NJ598EqWlpRg9ejQ2bdqEtDTHNLTS0lIUFRU59w8LC0NOTg7+93//FxMmTEBsbCxuv/12/PrXv3bfVRAR+SBBECFFj4G1cjdsNYegjRqpdkhBTVEUKLZmVc4tSK4VXcvLy0NGRgYkSeqwrV+/foiLi/NEiKrqVQXW5cuXY/ny5V3e99prr3XaNmLEiE5dO0REwUAbnQlr5W5Yaw/BiO91u19BQzXiDWEI03K8nKcotmaUvxmmyrkTf9AIQRva4/0PHTqErKysDtsOHjyIzExH19+tt96KrVu3Ys6cOXjvvffcGaoquGovEZEHSTHt03uvPKNm0Za/I+If/w+fns/3Rljk4/Ly8pyJR1fbVqxYgTfeeEON0DyCC+UREXmQtm1GzZXKwiuKghpzMxQoGBoR763Qgo4ghSDxB41X39FD5+6plpYWnDp1qkPLiCzLOHDgAJYuXQoAmDVrFrZu3ermKNXDZISIyIOkGEcyIjdfgNxaDdHQeZ0UQRBwdtFjqGhpQJyh50355BpBEFzqKlHLmTNnYLfbMXz4cOe2zZs3o7q6ulNrSaBgNw0RkQeJ2nBowgcBuHrxswRjOESBb8vBLjY2FoIgYM+ePQCA3bt344EHHoDRaOyyNlcg4KueiMjDXC1+RsEtOTkZTz31FJYsWYIBAwZg/fr1WLRoETIyMnq9EJ2vYzcNEZGHaaMzYS76ENZu1qi5Z8dGlDU34PGsGzCFq/USgNWrV2P16tVqh+E1bBkhIvKwq61R8/mFk/j0wgnYFdmbYZEfu/HGG7Fo0SJs2rQJ/fv3x969e9UOqU/YMkJE5GHObpraY1BkGwTx4ltvdWsTLjTXAwDGRCerEh/5n82bN6sdgluxZYSIyMM04ekQpDBHWfj6bzrc1744XnpYDCJ0BjXCI1IdkxEiIg8TBNE5xffy4meHakoAcKVeCm5MRoiIvKC74mftLSNjY9hFQ8GLyQgRkRdI0e1l4TsmI86WkWi2jFDwYjJCROQFXc2oscl2HKsrBwBksmWEghiTESIiL5CiRwMA5OYSyK1VAICTpkqY7TaESXqkh8eoGR6RqpiMEBF5gaMs/GAAF8eNHKpxjBcZE53EMvAU1PjqJyLyksu7ajiThsiByQgRkZdcvkbN4RrOpCECmIwQEXmNNvqylpFazqQhAlgOnojIa6S2bhpb3THIdgtenvZdHK4pxZiYJJUjI1IXW0aIiLxEE5YGQRsOyBbYTSfxrdRReCxzDsK1LANPntHc3Iy0tDQ8/PDDaodyRUxGiIi8RBDESxbN63oFXyJ3evrppzF58mS1w7gqJiNERF7UPqPmg4I8vF94BJWtjSpHRIHq1KlTOHHiBObPn692KFfFZISIyIvaW0Z+W9qEhVtex47yApUjIl+0bds2LFiwACkpKRAEAR9++GGnfdavX4/09HQYDAZkZ2dj+/btHe5/+OGHsWbNGi9F3DdMRoiIvKh9Rs045TzGxfRDFmuMUBeampqQmZmJF198scv7N27ciAcffBCrV6/GwYMHMXPmTMybNw9FRUUAgI8++gjDhg3DsGHDvBl2r3E2DRGRFznKwgv4rf1jJNz4CjSGWLVDIh80b948zJs3r9v7n3/+eSxduhT33nsvAGDdunXYvHkzXnrpJaxZswa7d+/GP//5T7z77rtobGyE1WpFREQEHn/8cQDAZ599hltvvRUNDQ2QJEcqkJ+fj1GjRqGyshJxcXGev8hLsGWEiMiLRG2Ysyx8e/Ez8q5Wm9Ltj8WuuH1fd7NYLNi/fz/mzp3bYfvcuXOxc+dOAMCaNWtQXFyMwsJCrF27Fvfdd58zEQGAvLw8ZGRkOBOR9m39+vXzeiICsGWEiMjr6iLHwWA6C2vtYehTrlc7nKDzo82V3d43Ll6HRydFOW//z38rYbZ3ve+oGC1+OTXaefuBLVVosHROPjbenNDrWLtSVVUFu92OxMTEDtsTExNRVlbWo2McOnQIWVlZHbYdPHgQmZmZ7grTJWwZISLysuX1gzAEK/DuuRNqh0J+TBCEDrcVRem0DQDuuusurF27tsO2vLy8TonHpduKi4tx3XXXYdSoURg7dizeffddN0ffEVtGiIi87FirACs0SGphMqKG12+M7/Y+8bLP8r9c3/N9X5zlne6NuLg4aDSaTq0gFRUVnVpLutLS0oJTp051aBmRZRkHDhzA0qVLAQCSJGHdunXIyspCRUUFxo8fj/nz5yM0NNSt19KOLSNERF5U0dKAMosVAhQMbdwPRbaqHVLQMUhCtz86jeD2fd1Np9MhOzsbOTk5Hbbn5ORg2rRpV338mTNnYLfbMXz4cOe2zZs3o7q62tkykpyc7ExWEhISEBMTg5qaGvddxGWYjBARedHhWsdKvQNhQqjSDFs9W0eos8bGRuTl5SEvLw8AUFBQgLy8POfU3ZUrV+KVV17Bhg0bkJ+fj4ceeghFRUVYtmzZVY8dGxsLQRCwZ88eAMDu3bvxwAMPwGg0YujQoZ3237dvH2RZRmpqqvsu8DLspiEi8qJDNY6VejP0dsACWGsOQRs9RuWoyNfs27cPs2bNct5euXIlAOBHP/oRXnvtNSxevBjV1dV48sknUVpaitGjR2PTpk1IS0u76rGTk5Px1FNPYcmSJQgLC8N1112HRYsW4YsvvoBGo+mwb3V1NZYsWYJXXnnFvRd4GSYjRERedLjG0TIyJjwcqOYaNdS16667Dopy5WnBy5cvx/Lly3t1/NWrV2P16tVX3MdsNuPWW2/FqlWretT90xfspiEi8qJDbd00WXGOb7BW1hohH6QoCu666y7Mnj0bd955p8fPx2SEiMhLLHYbjteVAwCyUrIAsPAZ+abc3Fxs3LgRH374IbKyspCVlYUjR4547HzspiEi8pJv6ithle2I0BowOHkSKiBAbi2HvaUcGuPVp2QSecuMGTMgy7LXzseWESIiLzlU6xi8OjYmGRpdGDQRjpkLHDdCwY7JCBGRl7TPpBkbnQwA0EaPBcBxI0RMRoiIvKR9Jk1mTAoAQIpxFJhiywgFOyYjRERecqxt8GpmTFvLSFsywpYRCnYcwEpE5CWnFz6K43XlGBXlGKwqtXXT2OrzodgtEDQ6NcMjUg1bRoiIvMQgaTE+rj8MkhYAoAkdAEEXBchWloWnoMZkhIhIJYIgXBzEWsuuGgpeTEaIiLzgqbwc3J/7HvZVFXfY7uyq4bgRCmIcM0JE5AXvFR7G4dpS3Jw6ssN25yBWzqihIMZkhIjICx7PugEHqi9gYlzHZdid03vZMkJBjMkIEZEXLBw4FgsHju20XRuVAQgi5NYK2JvLoAlJUiE6InVxzAgRkYoEKQSacJaFp44+++wzGI1G2Gw257b8/HwIgoCqqioVI/MMtowQEXnY1tLTMMt2TIxLRYw+pNP92phM2E3fwFp7CPp+c1WIMLg0Wc0uP0avkSCJGgCATbbDbLdBFEQY26ZpX+m4oVq9y+fLy8tDRkYGJEnqsK1fv36Ii4tz+Xi+jskIEZGH/ebwl8gpOYm/Tl+Ee4dN7nS/FD0WKHyHlVi9JOwfq11+zDvX3YlF6Y7xPR+cO4rbt/4d1yYNwtZ5y537DHz3N6gyN3V6rHL3WpfPd+jQIWRlZXXYdvDgQWRmZqKhoQGzZ8+G1WqF3W7HihUrcN9997l8Dl/CZISIyMMuXyDvclquUUOXycvLw/LlyzttmzBhAkJCQvDVV18hJCQEzc3NGD16NG677TbExsaqFG3fMRkhIvKg8pYGVLQ2QhQEjI7uenCqMxmpy4diN0PQuN6sTz3X+MOnXX6MXnPx4/LWtNFo/OHTEIWOwy4LFz3W59gAoKWlBadOnerQMiLLMg4cOIClS5dCo9EgJMTR3dfa2gq73Q5FUdxybrUwGSEi8qD2VpGhEXEIkbpee0YM6Q9BFwXFUgdb/QlnckKe0ZsxHJeSRI1z/Ig7j9vuzJkzsNvtGD58uHPb5s2bUV1djcxMx2ujrq4O1157LU6dOoVnn33W78eRcDYNEZEHXa2LBmgvC88VfMkhNjYWgiBgz549AIDdu3fjgQcegNFoxNChjplXUVFROHToEAoKCvDWW2+hvLxczZD7jMkIEZEHHaopBQBkxqRccT9n8TOuURP0kpOT8dRTT2HJkiUYMGAA1q9fj0WLFiEjIwMaTccWmcTERIwdOxbbtm1TKVr3YDcNEZEHHa7tWTLiXDCvhoNYCVi9ejVWr+561k95eTmMRiMiIiJgMpmwbds2/PjHP/ZyhO7Vq5aR9evXIz09HQaDAdnZ2di+fXuPHpebmwtJkjpNVyIiCkRmuw35dY7m8yt10wAdW0b8fTAiedb58+dxzTXXIDMzEzNmzMADDzyAsWM7V/f1Jy63jGzcuBEPPvgg1q9fj+nTp+Pll1/GvHnzcPz4cQwYMKDbx9XX12PJkiWYM2eO3/dtERH1RH5dOWyKjCidEamhUVfc92JZ+ErILWXQhFw5eaHglZ2djby8PLXDcCuXW0aef/55LF26FPfeey9GjhyJdevWITU1FS+99NIVH3f//ffjjjvuwNSpU3sdLBGRP2kfvJoZkwxBEK64ryAZoYkYBoD1Rij4uJSMWCwW7N+/H3PndixXPHfuXOzcubPbx/3tb3/DmTNn8Mtf/rJH5zGbzTCZTB1+iIj8Tft4kbHRVx4v0u7ijJo8T4VE5JNcSkaqqqpgt9uRmJjYYXtiYiLKysq6fMypU6fw6KOP4s033+xQY/9K1qxZg8jISOdPamrq1R9ERORjLs6k6VmXizYuGwBgqfzaYzER+aJeDWC9vLlRUZQumyDtdjvuuOMOPPHEExg2bFiPj79q1SrU19c7f4qLi3sTJhGRqmL1IYjTh151Jk07XcJ0AIC1IpeDWCmouDSANS4uDhqNplMrSEVFRafWEgBoaGjAvn37cPDgQTzwwAMAHCVtFUWBJEn4/PPPMXv27E6P0+v10OtZDpnIV1jsCqpa7EgJYzUAV2ycdadLSYU2Zjwg6iC3VsDecAZSxBAPRkfkO1xqGdHpdMjOzkZOTk6H7Tk5OZg2bVqn/SMiInDkyBHk5eU5f5YtW4bhw4cjLy8Pkyd3Xr2SiHzPnw6Z8NBXNXjjeANkfmN3iSAIVx286txXMkAbNwEAYKnofhwe9Zwsy2qHEPDc8Ry7/DVn5cqVuPPOOzFhwgRMnToVf/nLX1BUVIRly5YBcHSxXLhwAW+88QZEUcTo0aM7PD4hIQEGg6HTdiLyTXVmGXvKzACA/xS0oKLZjgeyImGQevYBG6xssr3L9UuuRpcwHdaKnbBW5AJDlnggsuCg0+kgiiJKSkoQHx8PnU7X46SQekZRFFgsFlRWVkIUReh0Xa+91BMuJyOLFy9GdXU1nnzySZSWlmL06NHYtGkT0tLSAAClpaUoKirqdUBE5FtyS1ohK0CsQYTJImNvuQV/OWLCinGRaofm0360/Z/YUV6AZyd+C7enZ/X4cbr4aWgCYKnI9VhswUAURaSnp6O0tBQlJSVqhxPQQkJCMGDAAIhi71eYERQ/GCVlMpkQGRmJ+vp6REREqB0OUVD5+fYaFJpsuCcjDGkREv5ypAGPTIhEUijHj1zJmA/W4mhdGT65/h7cnDqqx4+zt1SgYqNjDF7i92sh6qM8FGFwUBQFNpsNdrtd7VACkkajgSRJ3bY69fTzm+8mRNQtRVFwV0YYtp1vxbQUA8J1ItZeEwPxkjee2lY7og2ud0cEuh03/wSHa0ox5ipl4C+nMSZAEzEUdtMpWCp3wdB/nociDA6CIECr1UKr1aodCl0BV+0lom4JgoCRMTrcPzYC4TrH28WlicjBCjP+d0s1vixqUStEnxWpM2Jm0iBE6Y0uP/bSKb5EwYDJCBH12r5yM6wy8PKRBrx9opEzbdxEl+CYnchxIxQsmIwQUZeOVlmw4WgDztZbu93n3tHhWDg0BADw4ZlmvHDQBIudCcmfT+zEQ19/hK8rz/Xq8dr2lpGqPVDk7p9/okDBZISIuvRlcQs2n2vB1uLWbvcRBAG3DwvD8sxwaARgV6kZT+2uhckc3LUd3i08jHXHt+N4Xe9WKJciR0DQRUOxNcNac8jN0RH5HiYjRNRJs/VibZFr+huuuv+1/Y1YPTkKoZKAk3U2/L+dNWiwBGdCoiiKc7Xeni6QdzlBEJ1dNRw3QsGAyQgRdbK71DEWJCVUg8GRPZt0lxGrw1PTo5EYImJMnA5h2uAsMFXaYkK1uRkaQURGVOdlMnqK40YomHBqLxF1su2Co2vm2v4Gl6pW9guT8PT0GBiliyXQ7bICjRg8iUl7q8jwyHgYpN5PJ20fN2JpWzSP1UMpkLFlhIg6qGi2I7/GCgHAjH5X76K5XLhOhCReTESe2VePd042Bs0qtIdrSgEAY12sL3I5XdxEQJAgN5fA3sSq1hTYmIwQUQfb21pFMmK1iDP2rZjZgQoL8iot+NepZryYZ4I1CGbaHKp1JCOZMb0bL9JOkEKgjR0PgONGKPAxGSGiDgySgBiDiGt7MHD1aiYm6fE/Y8IhCsCOEjN+vacu4Ae2tnfTZMb0rWUE4LgRCh5MRoiog5vTQ/Cn2bGYltL3ZAQA5gwwYtXEKBglASdqrPjFzlqUNdnccmxf02qz4pv6SgC9n0lzqYvjRnb2+VhEvozJCBF1IgqCc9yHO4yN1+GpadGIM4oobbLj/+XW4puawCvmdbyuHHZFRqw+BCkhfV/Us71lxFZ7GLK1oc/HI/JVTEaICABgsSs4WGGGXfbMuI7UcAlPT4vGoEgJFhnQBeDaeodq27toUtwy+0UTkgJN2EBAkWGt3N3n4xH5KiYjRAQA2F9hxm/31uMXO2s9do4ogwa/mhqNX0yOQnpk4K2i6q6ZNJdiVw0FAyYjRAQA2HbeMYtmTJzOo+fRawQMjb6YiJysteLpr2vxWWGz348luTh4te/jRdrpLqk3QhSoWPSMiFBvlpFXaQHQs/Lv7mK2K3h+fz1qzTIOVznGkCSFaJAZr0NWvA4ZcTroNf5T7Gtxehb6h0ZhcvwAtx2zPRmxVu6GItshiAHYv0VBj8kIESG3pBWyAgyJktAvzHtvC3qNgMenRGFvuRmHKi04UWNFWbMdZecci/SFagX89fo4v6ngev+Iqbh/xFS3HlOKyoCgjYBiNcFWewTa2Cy3Hp/IFzAZISJnF801vai42lcpYRK+EybhO4ND0WKTcbTKikOVFuRVmtEvTOqQiKzZU4dYo4hx8XpkxGoRog38nmZB1EAbPwWWks9hqdzJZIQCEpMRoiBX1GBDgckGjQBMdVNtkd4ySiImJukxMUkPRQlD6yUVW6ta7M6upC+KWqERgOHRWmQl6JAZr0NauKTq+i35deVQoGBYRDwkN3el6BKmO5KRilyEjlju1mMT+YLA/1pBRFd0sMIMABifoEOEznfeEgRBgFG6GE+ETsSjEyNx00AjkkM1sCvA8Ror3jrRhJ9vr8VrxxtVjBZ4Mi8HGR+sxXNHv3L7sZ3jRso5iJUCE1tGiILctweFYEycDr4+LEOnETAuQY9xCXoAQFmTra07x4Jj1RaMuGSGztl6K/52tAHjE/WYnx7ilUGwGkFEqKTDWDeUgb+cNn4SIIiwN52DvekCNKH93H4OIjUxGSEKcoIgYJAf1vxICpWQFCrhxoEhsNgVXJpuHKyw4GSdDSfrbBAA3DIk1OPx/OPaOyArMmQPrE4sasMhRWfCVnMQlsqdMIYucvs5iNTkO22yROR1nqq26m06jQDtJa0fs1INuDndCADYdqEVigcShK6Iguj28SLtnPVG2FVDAYjJCFGQarbK+PEXVVh/yIRWW2AkJe1iDBp8d2gotCJwodGOQpNni6l5I9lxjhth8TMKQExGiILU12Vm1FsUnKq1Qh+AdbRCtCKyEx3jS7ZfaPXouX62998Y+f4zeOP0Po+do33RPGvNQcjWJo+dh0gNTEaIgpSztkh/g6pTYj1pZlvdlJ0lZo+M5Wh3oPo8TtRXePQcmrABEEP6A4od1qq9HjsPkRqYjBAFoYpmO47XWCHg4gd2IMqK1yFMK6DeIuOch7pqFEVxLpDnzjVpusJ1aihQcTYNURBq77bIiNUizhiAfTRtJFHAQ+MjkRouIVLvme9e55vqUWtpgUYQMSoq0SPnaKdLnI7Wwo0cN0IBh8kIUZBRFMWZjHhzUTy1jPbwKsSHah0r9Y6IjIde49m3VF28Y9yIpXIXFEWGILBxmwIDX8lEQeZUnQ2lTXboNcDkJL3a4XiVzQNTmb3VRQMAUkwmBCkUiqUOtrp8j5+PyFuYjBAFmXijiNuHhWL+wBAYpOB4CzhdZ8WvdtXi+f31bj/2oRpHy4g3khFBlKCNnwyAU3wpsATHOxEROUUbNFg4NBTfGxGmdiheY9AIyK+xIq/SApNZduuxD9c6WkbGRru/DHxXnF01TEYogDAZIaKA1z9cwqBICXYF2FXqvpojLTYrTpoqAXinZQQAtM4ZNTu9cj4ib2AyQhRE3j/VhF2lrbDYA6viak/MaJvC7M4CaEdrSyErCuINoUgyhrvtuFeiS5gKQIC94TTsLeVeOSeRpzEZIQoS9WYZ751qwroDJlQ029UOx+umJ+shwDGAt6zJPTVHLnbRpHitcJyoi4QUPRoAYGXrCAUIJiNEQWJnSSvsCjAoUkL/8OCb1R9l0GBsvGOa7/YLZrcc85BzJo13xou047gRCjRMRoiCxFdt5d+vDYLaIt2ZmeK49h1uWsnXmzNpLqVN5LgRCizB9/WIKAgVNdhQYLJBIwDTUoI3GZmYpEN2qQ5Tkw1QAPS1Y+Xlad/FgerzuCZpkDvC6zHnCr7V+6HYWiFIwfs7pcDAZIQoCGxvaxUZl6BDhC54G0QNkohHJka57XgjohIwIirBbcfrKU1YOkRjEuSWMlir90GXOMPrMRC5U/C+KxEFCfnS8u8BvCheMBEEAbqE9nEj7Koh/8dkhCjA1ZllxBpFhGkFjE8IrvLv3alusePjM03Ir7H0+hj/LjqG549+haNtM2q8TcsVfCmAsJuGKMDFGDR4enoMGiwytBrvTD/1df8+24xPC1swPUWPkTG9W0jv72f2493Cw3hGuRmjvVR99VLOcSMVO6EoitemFhN5AltGiIJEeBCPFblcewG0vWVmtNh6Vx5+dvIQLEwbg2kJA90YWc9pY8YBGgNkcxXsppOqxEDkLnx3IgpgJY02NFrduxZLIBgcKSE5VAOL7EhIemPZiGl4b/aPMD0x3c3R9Yyg0UEXNxEAx42Q/2MyQhTA/nqkAff/twpfu3E9lkAgCMIl5eHdUwBNDRw3QoGCyQhRgKpstuN4jRU2GRgcpVU7HJ8zI8UxmPdIlQW1ra6Vxy9qrMW5xhq3FE7rCx2TEQoQTEaIAlT7dN6MWC3ijBqVo/E9SaEShkVJUADsLHGtdeTZo1sx8N3f4LH9n3omuB7SxU8FANjrT0BurVY1FqK+YDJCFIAURcG2Cyz/fjUz+hmgFeHyuJr2MvCjohI9EVaPiYZYaCJHAAAslbtUjYWoLzi1lygAna6zobTJDr0GmJTE2iLduba/ETP7GRCi7fn3MkVRnKv1enuBvK7oEqajpf4ELBW5MKR+S+1wiHqFLSNEAah9UbxJSXoYJf6Zd8cgCS4lIgBwvK4c9ZZW6EQNRkR6vxT85S7WG+G4EfJffJciCjCyouDrsvby70aVo/Ef5xtskHswIPWtswcBADf1GwGdRv3GZWdZ+Kq9UOy9ryhLpCYmI0QBRhQEPDszBvdkhGF0HGfRXI2iKHhiVy1+tq0GJ2utV933rbMHAAB3DBrnjfCuShMxDKI+DrC3wlpzUO1wiHqFyQhRAIoyaHDjwBCILBF+VYIgID7EMduofQZSd3ZXnkNhYy3CJD0WDBjljfCuShAEaJ2L5rGrhvwTkxGiAKJ23Qt/NbOtANquUjNscvfP4ZtnHK0it6aNRojUuzVtPIHjRsjfMRkhCiCbz7Xgyd21OFDuv1VF1ZARq0W0XkSTVcHBiq7HXVhlO94pPATAd7po2jnHjbQtmkfkb3qVjKxfvx7p6ekwGAzIzs7G9u3bu933/fffxw033ID4+HhERERg6tSp2Lx5c68DJqLufXW+FceqrShvdq2iaLATBQHT2yqydtdV89+Sk6hsbUK8IRTXpwz1ZnhXpY2dAIg6yC1lsDcWqB0OkctcTkY2btyIBx98EKtXr8bBgwcxc+ZMzJs3D0VFRV3uv23bNtxwww3YtGkT9u/fj1mzZmHBggU4eJADrYjc6XyDDWfrbdAIwPQUFjpzVXtXzYEKM5q7KILWPotmcXoWJNG3KtoKkgHa2GwAHDdC/snlZOT555/H0qVLce+992LkyJFYt24dUlNT8dJLL3W5/7p16/DII49g4sSJGDp0KH7zm99g6NCh+Pe//93n4Inooh1t3+iz4nWI0LMH1lVpERL6h2lglYGvL1vJt8lqxgfnjgLwvS6ads5xI+VMRsj/uDRJ3mKxYP/+/Xj00Uc7bJ87dy527uzZEtayLKOhoQExMTGunJqIrkBWFOwocSQj7d/wyTWCIOB7w8MAOBK6S7XabfjxiKn4urIIU+LT1AjvqnQJ09B0DLBU9uy9mMiXuJSMVFVVwW63IzGx43oMiYmJKCsr69ExnnvuOTQ1NeH222/vdh+z2Qyz+eI3E5PJ5EqYREHnZK0VlS0yjJKA7ESWf++tid2Uzo81hOLZiQu8HI1r2qf32mqPQjbXQdRHqRsQkQt61ZYrXFa7QFGUTtu68vbbb+NXv/oVNm7ciISE7ssor1mzBpGRkc6f1NTU3oRJFDR2XHAk75OS9NBpWFskGGmMidCEDwGgwFK5W+1wiFziUjISFxcHjUbTqRWkoqKiU2vJ5TZu3IilS5finXfewfXXX3/FfVetWoX6+nrnT3FxsSthEgWdjFgtRsdqcQ27aPqswSLjnW8a8ey+OgDAltLT2HzhG9hk35+h1D7Fl/VGyN+4lIzodDpkZ2cjJyenw/acnBxMmzat28e9/fbbuOuuu/DWW2/h5ptvvup59Ho9IiIiOvwQUfemphjwiynRGB3nO4W4/JUgAB+dbca+cgvOmWz45cHNuOnzv+LFfN//gG8fxMpxI+RvXO6mWblyJV555RVs2LAB+fn5eOihh1BUVIRly5YBcLRqLFmyxLn/22+/jSVLluC5557DlClTUFZWhrKyMtTX17vvKoiI3CRMK2JcvGPsyLbzzciMSUGCIQzfHThW5ciuTts+o6byayiyTeVoiHrO5WRk8eLFWLduHZ588klkZWVh27Zt2LRpE9LSHCPMS0tLO9Qcefnll2Gz2fCTn/wEycnJzp+f/vSn7rsKoiDVbJXxydlm1Lb6fheCP5nZz5GM7Cy14A+Tb0HJ4sfRPzRK3aB6QIoaCUEXBcXWBFvNIbXDIeoxQfGD2sEmkwmRkZGor69nlw3RJbYUt+DPhxuQGq7B2mti1Q4nYFjsCpb9twpNNgW/mBzlV91fNTnzYb7wKSIm/QGho1aoHQ4FuZ5+frMyEpEfay90Ni2ZA1fdSacRMDSmBZWWYmw736J2OC5p76qxVHDcCPkPJiNEfqqm1Y5j1VYAwAzOonG7AvMhbKl7G7//5kNY7D7fgOzkHMTKGTXkR5iMEPmp3BIzFADDo7VICPGttVL8naIo+LzkMADgusRhaLX5UTISPwkQNJCbz8Pe2PWaYUS+hskIkZ9q76Jh+Xf321lRiHNNtQiT9HhhxgS/WutHkEKgjXGsn8OuGvIX/vMXRkRO5xtsKDQ5Vuidkszy7+7WvkLvbWmjYZS0KkfjOi27asjPMBkh8kMFJhskERiXoEO4jn/G7mSV7XinwDEt9geDx0NRFJyqteJEjUXlyHpOl8hkhPyLSwvlEZFvmNnPgPEJOjRa/Wcsg7/IuXASVeYmJBjCMDt5CP5b1IpXjjZgRLQWT0zzjym+7YNYbbWHIFsbIGrDVY6I6Mr4lYrIT4VqRSRy4KrbvXn2AABgcXoWJFGD7EQdBAAnaq2oaPaP4nKakBRoQtMARYa1co/a4RBdFZMRIj/TYJHVDiFgNVnN+LDoKADgB4Mdg0BjDBpkxDrGjbQPGvYHWnbVkB9hMkLkR2yygge3VuOxHTWoYQl4t/u4+DiabVYMDo/FpLgBzu3tM5a2X2iFHxStBsB6I+RfmIwQ+ZGDFRY0WhXUtMqI8qPppv7izTOOLpo7Bo2DIAjO7ZOS9NCKQEmTHQUm/1iATudcNG8XFJmJK/k2vpsR+ZEdJW3l31P0EC/5sKS+q2ptwuYL3wAA7hg0vsN9IVoRExIdU6j9patGihoNQRsOxdoAW90xtcMhuiImI0R+otkqY3+5GQALnXnCu4WHYFNkjI/thxFRCZ3ub3/O82us3g6tVwRRA238FADsqiHfx6m9RH7i6zIzrDLQL0yDgRH803W3m/oNx5PjbsTAsJgu78+M1+EXk6MwKtZ/iqDpEqbDUpIDS0UuQkf8WO1wiLrFdzQiP3Fp+XeBXTRulx4ei19k3dDt/ZIoYHScf9QZaadLmAYAsLJlhHwcu2mI/MClK/ROT2EXjdrssgKb7PuzarTxUwBBhL2xEPbmErXDIeoWkxEiPxCmFfHg+AjcMjiEK/R6wE93f4h3Cw7BbL/6TJmPzjThx19W4+tSsxci6xtRGw4peiwALppHvo3JCJEf0GkETEk24PsjwtQOJeAcqSnFC/k78MNtb6HZdvX1Z8w2BfVmGdv8ZFaNc4ovu2rIhzEZIaKgFqUz4tExs3HfsMmI1odcdf8ZbbNq8iot2Fvm+60j7eNG2DJCvozJCJGP+7SgGe+dakJVCwtXeUJqWBTWTJiPF6fe1qP9U8Ik3JxuBAD86ZAJZU2+XQRN294yUn0Aiq1Z5WiIusZkhMiHyYqC/xQ0492TTThV6x/1LYLBHSPCMDxaixabguf2m2C2++5gVk3oAIgh/QDFBkvVXrXDIeoSkxEiH/ZNrRWVLTKMkoDstgqg5D6vndqL/xQfh9XFcumSKODB8RGI1AkoarDh1aMNPrtmjSAIHDdCPo/JCJEPa68tMilJD52GtUXcyWK34Wd7/41v/XcDtpaecfnxMQYNVoyLhFYE0sJ9u2QTx42Qr/PtvyCiIGaTFexqmz46g+Xf3S6n5CRqzM1INIZjVvLgXh1jdJwOf5wVi2iDb0+31jpX8N0JxW6GoGErG/kWtowQ+aiDFRY0WRVE60WM9qMS5P7izbMHAQDfS8+CJPY+mbg0EWmxyWiyyn2Ozd20MZkQDfFQLLWo373cZ7uUKHgxGSHyUVyh13MarWZ8VHQUAHDHoHFuOeb5Bhse21GLF/NMkH3sw14QtYia+Q9AENFyagOa8/+odkhEHTAZIfJR4VoRRklgF40HfFR0DM02K4aEx2FiXKpbjmmVFVS22HGgwoKPzvjeFFp9v7kIn7AWAGDauxLmkv+qHBHRRUxGiHzUvWPC8Zfr45DOFXrd7q2zBwAAdwwe57ZFB9MjtbgnIxwAsPGbJhypuno1V28LHfUgjIN/BCh21G69HTbTabVDIgLAZITIp+k0AlfodbPK1kZsvnASgPu6aNrNHmDErP4GKABeOFiPmlbfKlQnCAIip/4Z2vgpUCy1qP3i25AtJrXDImIyQuRrTGYZZ+utHGToIe8WHIJdkZEd2x/DIxPcfvx7RodjYIQEk0XB7w+YfG51X0EyIHrW+xBD+sFWn4+67T+EovjeoFsKLkxGiHzMV+dbsWpHLf50iN9YPaF9Fo27W0Xa6TQCHhofgRBJwMlaK94/1eSR8/SFJiQZ0bM/AEQ9zMX/RsPBX6gdEgU5JiNEPqZ9Fs3waJ3KkQSegoZq7KwohAAB3xuU5bHzJIVK+ElWBEbHajF34NUX31ODLm4ioqa/CgBoOvwbtJz9p8oRUTDjyDgiH1LcYEOhyQaNAExJZmEqd/tnQR4AYFbyYKSERHr0XBMS9chO0Pn0mB/j4B/AWnsYTUefQV3uPZAih0EbO17tsCgIsWWEyIe0l38fl6BDuI5/nu72z7N5AIAfDPLOB+6licjeMjNabb43NiN8/G+g7z8fsLeg5ovvwN5SrnZIFIT4bkfkI2RFcXbRzEhhbRFP+GzufXh+0rdxW9oYr5733ZONWLu/Hn854nsL6gmiBlHXvAVNxHDIzedRu+U2KHaz2mFRkGEyQuQjvqm1ooor9HpUckgEHsq4BlF6o1fPOyZOB1EAckvM2Hyuxavn7glRF4mYOR9D0EbCWrET9bt/4nNJEwU2JiNEPmJvmePbKFfoDTwjYnT44YgwAMAbxxtxstaqckSdSZHDEH3dxraS8a+i+cSLaodEQYTJCJGP+MGIMDw2KRI3p/vm7At/tqO8ANd/9jLebpvWq4b56UZMTtLDrgDrDtTDZPa98SP6fjcifMKzAADTnodgLvlC5YgoWDAZIfIRGlFAZrweaSz/7nb/OLMfX5SeQk7JSdViEAQBy8aGIzlUg+pWGX/Mq/e5BfUAIHTUQzAOXtJWMn4RbKYzaodEQYDJCJEPYP+8Z/18zCw8PX4e7hs2WdU4QrQiVmZHQq8BDldZcbTK97prHCXjX4Y2brKjZPyXLBlPnicofvAuaDKZEBkZifr6ekRERKgdDpFbNVtlPLqjFhMTdfje8DBoOV4k4O0qaYUkCpiY5LsDle3NJaj6ZCLk5hLoUxcgevaHEAR+fyXX9PTzm68sIpV9XWZGebMdBystkPgXGRSmphh8OhEBAE1ICqJnf+gsGd948HG1Q6IAxrc+IpW1Fzqb2c/g09U6/VGDtRULv3wd/zx7EHbZ9waMAkBVix1/OWKC1e57jdS6uImInP4KAKDx8NNoKdiockQUqJiMEKmoptWOY9WOcQPTWejM7T4qOob3zx3B4wc3Q/TBRE9WFDz9dR2+KGrF68cb1Q6nSyGDf4jQ0f8HAKjbcTes1QdUjogCEZMRIhXlXjBDATAiWouEEI3a4QScN884PjjvGDTOJ1udREHAj0aFQQCQU9SCbed9ryAaAISPXwN9v3mOkvFf3sKS8eR2TEaIVOQs/96PrSLuVtHSgJySUwCAO7y0Fk1vZCXosXCoo7bMX480oMhkUzmizjqUjG8qRu2WhSwZT27FZIRIJVyh13PssozfH9sOuyJjQlx/DIuMVzukK1o4NBRj43SwyMDzB+rRaPG98S2iPuqSkvG5qN/9AKekk9swGSFSiV4j4KaBRlzTz8AVet1EURRsKs7HuI9/j98e+RIAcPeQiSpHdXWiIOB/x0Ug1iCitMmOFVuqUdLoey0kUuQwRF37z7aS8a+g+cSf1A6JAgTrjBBRQNhbWYRH9v0HW8scFUMjdQasHjsHPxt9LUQ/qY9RaLLijwdNkEQBa2ZEOwfdKoriU2NeGo8+h4Z9DwOCBjE3bIY+ZY7aIZGP6unnN5MRIvJrZ0xVeGz/p3in8BAAQCdq8L8jZ+CxzDmI0fvfOj+yoqDOLCPG4BjQ3GqT8fiuOsxONWBOqtEniuIpioL6HT9Cy5m/Q9DHIO7mPZAiBqsdFvmgnn5+cxEMIhVsv9CKGIOIkTFan5xy6i/ONlRj5AfPwirbIUDADwePx1Pjb0RaWIzaofWaKAjORAQAvixuxTmTDX871oiPzzRj4dBQXNvfAElU73XjKBn/F9jqv4G1ag9qv/wOYuftgKiPUi0m8m9sGSHyMpus4H/+W4Umq4JfTI7C6Did2iH5FVmRO3S7fCvnVdgUGb+bcDMyY1JUjMwzbLKCL4tb8P6pZtS2rfSbGCJi4dBQzOxnUDWZtTeXoOrfEyC3lELQhsMwcDFCht4DbfwUn+pWIvWwm4bIR+0tM2Pt/npE60WsnxPLlpEekhUZr5zcg2ePbMX2+cuRFOJ4L2i2WRAiBX5CZ7EryClqwUenm1Bvcbxt9wvTYM2MGOhV7LqxVu1H7Vffg73htHObJnIEQobeA+OgO6EJSVItNlIf16Yh8iGyoqCw3oqPzjThrROOSpvTU/RMRFwgQMCGU3twuqEKL+TvcG4PhkQEAHQaATenh+CFWXG4Y0QowrQC0iIkVRMRANDGZSP+tm8Qc9NWGAf/CIIUAnv9CTTsewQV7/ZHzRffQeu5D6HIvrdCMfkOtowQecHD26pR3GB33hYF4JmZMUgN57CtK9lZXojR0UmI0DmKwuWWF2B/9XksGz4VOk1wP3fNVhlmu4LotvElZU02vJhnwsKhociK16nWTSJbTGgtfAfNpzbAWrnLuV00JMA4+E4Yh9wNbXSGKrGR97GbhsjLLHYFJ2qtOFxpQaHJitWTopwfCC8crMe+cgsyYrUYG6fD+EQ9Eln+vVv5deVYtX8TPio6hv+XeT2eGn+T2iH5vD8fNmFLsaOi77AoCYuHh6k+Hslal4+W039Dy+k3ILdeLCGvjZuMkKH3wJC+GKIuUsUIydOYjBB5mKIoON9ox+FKCw5XWXC82oJLC2c+e00MBrS1fNSbZYRqBVVnQPiDkuZ6/Org53j11B7IiuIoBjZyBtZN/o7aofk8k1nGR2easPlcC6xtr8OMWC1uHxaKETHqJiWKbIX5/KdoPv03mIs/AZS2gm4aI4xpC2Eceg90SddC8JN6MNRzHk1G1q9fj2effRalpaXIyMjAunXrMHPmzG73/+qrr7By5UocO3YMKSkpeOSRR7Bs2bIen4/JCPmid0424l+nmjtsi9aLGBuvQ2acDuMSdAjR8s21J0yWVjxzZAueP7YNLXbH2ILvDMjAmuz5GBmVqHJ0/qWm1Y4PTzfjv0UtsLe9u09N1uPB8b7RAmFvKUfLmX+g5dSrsNXnO7drwtJhHHo3Qgb/CJqwASpGSO7ksWRk48aNuPPOO7F+/XpMnz4dL7/8Ml555RUcP34cAwZ0fgEVFBRg9OjRuO+++3D//fcjNzcXy5cvx9tvv42FCxe69WKI3M0mKzjZ1vVyqMqC748Iw9i2pu9DlWY8u68eI2N0yIzXYWy8DqlhGk5pvIxNtkMSL3ZJ7a0sQkVrI0xWM0yWVpS0mLA+fyeqzE0AgGkJA/HMhJsxPTFdrZADQlWLHe+fasKW8624bUgoFg0LBQCcqrXik4JmGCUBIZIAoyTAKInO20OitIhv60K02hWYZQVGjQCNm1v1FEWBtWoPWk5tQEvB21CsDW33CNCl3ODoxkn9DgSJi0j6M48lI5MnT8b48ePx0ksvObeNHDkSt9xyC9asWdNp/5///Of4+OOPkZ9/MQNetmwZDh06hF27dnXavyueTEaO1dSivKW52/vjjBpIbV9uTWYZzTYFIRod+odGO/c5baqADAWT4hMQptM6ttWbUNTY0NUhAQCxBg20be/PjRYFjVYZelFCWlisc5+CxipYZTvGxcUhWu9YSK2woQFnTaZujxutF6GXHG8azVYFJosMSRAxKPziQmFFTTVotVsxOiYaCUZHhcrSpibk19V1e9xInQij1nHcFquCurb+iGERF7+1XmiuQ5PNjGGRkUgNCwMAVLW04FBNDTq8yC65EaEXEdZ2XLNNQVWLY5Bneng8NIIIBUB5iwkmawsGh4djSJTj211tqwW7Kyoch1MAu6LArgB2GbArQJxRRFKoxvk8HKgww64A8fpoiJBgUxTUmBtRZ25GVkIEbhoQ1xavFc/lnYNNBix2GYX1dpjliwHP6m/AgsGO58wmO86t1QADw2KcszqqW5tQ3tqACK0B/UOj2mJUkF/v+rLrqaFRCNc63ozrLS240FyPUEnXoajXiboKyJCdz4UC5eK/befu8C8UpIVFI97g+B3VmVtwvK4coVpdhzodeyqL0GyzOB9rU2SYrK1osJphsphhsrY6fixmNNgcicXSYZNwa9oYAI7BprM/+zPSw2Nw4rafO4+b+eFzOFxb2ulah0fG47fZN+M7AzKY0LlRWZMNETrR2Uq340Ir/pjX/XvI8sxwXNvfCAA4UG7G7/bVAwD0GjiTlvbE5eb0EIxPdLw3lTTasKW4FRoB0IiO4m2O/zv+HRWrxcAIx/tjvVnG0SoLRBHQCAJE2Qx7ZS5sJZ9CrtmHWPs5RMslEHTREJLnoUIYAIgSBEEDiBJEUQIgAaIGEZIVUVobIGphU/Qol6MBQQJECRAkiIJjP0GUEKYFovUCIEiwQ4syy6WJjnDJvwLCJBlRehmAALsClLdoAaHjPo7/CjBqFMToZUAQICsCSls0lxyvI4NGQaz+Yn/uhebux47pNQriLt+3m78Nnagg3nBx35JmDbr7cNeKChIu2besRUSkVkFYRIrbx/B4pAKrxWLB/v378eijj3bYPnfuXOzcubPLx+zatQtz587tsO3GG2/Eq6++CqvVCq1W2+kxZrMZZvPF5alNV/jw7av7czcht+qgS49J1A7EtdG3O29/UPkirIoFO+Y9jOlJjjn1P/v6S3x8YUd3h+hSlJSAuTF3OW9vqn4FjfY6vDVzGb4/ZAgA4OmDX+OVM5+5dFyjGIYFccudt7+o+QeqbSV4dvwP8HDmOADA+vwj+PWR91w6rggR30142Hl7R937KLGcxkMjvoPnpzq67d4tOIPlX7/m0nEB4Ja4n0InOt7k9po+Q0HrYdyRNgdvzp4HAMgtL8WCL//o8nHnxdyLcMnxQX64cQdONO/G3KTJuGnAIgBAaXMDfnviz90+fnMN8Ojhzttz5z+AaYkDAQBvnNmPlXs+xh2DxuHNa38AALDKdmR8sNbleD+cfRe+kzYaAPBJcT5+uO0t3JAyDJ/f+D/OfSZ/8gJM1laXjvvX6Ytw77DJAICvq4pw0+d/RVZMCg5+Z6Vzn+9/9SbONlS7dNzpbc8B4Jhya5HtMFk6LjU/OjoJeo2EcK0eEVoDwrV6XJc0GEuGZHdoQSH3SArt+DY/KFLC3RlhaLEpaLEpaLYqaLHJztuxl1R/bbFf/Dgz2wGzXUbdJb/Oa/pf/EArb7bj47Pdf7G7OyPMmYxcaLThhU4JUbbjJwpYGL4T15avgNxUjMIL+fh99O+7Pe6NTc9iXrPjb6tUMxy/i9nW7b6zm1/Et5ueAgBUi6l4KnZft/vOaNmA7zauAgA0CrH4f3HHu913Yus/8YOGnwIAzAjBz+MLut030/wx7jbd57z98/juv6SMMufgf0w/dN7+RVwBLELXSxwMtuTif+tvc95+IvYYmsS4LvdNtR7Ez+ouDgp/OmYvFjauxowpd8M46HvdxuNJLiUjVVVVsNvtSEzs2IebmJiIsrKyLh9TVlbW5f42mw1VVVVITk7u9Jg1a9bgiSeecCW0XguVdDCIxu7v14rO/NZsV2CVFRglPcJ1F7NTg2iERtFAK14cHxCiufJxQyQR7a2eFlmBxa7AqDF0Oq5NMUN36XEl7RWPa5QEaNoyZ6uswGxXYBA7HtcoGWCQjTBoLr7pGDXSFY9r0FwcfGlTFLTaFIjQXHZcPQw2I4yXTLnUi5orHlevEaBtO65dAVpsjje3aL0IvcZx3eEtOhgsRoRdkrjqNR2Pe+l3BUEAtOLF4yoAWm2ON9XJSUYkGQ3QCAKspUZcsISgf+jF44RpNYjQhjiPpxEE9KR1Wrrkd2TUSIjThyJcq++wT5w+9OoHuozukt+RXqNBnD4UkbqOzdax+hDoLvkQFwRHTQ5BENq+vwkXt8FRyjv0ktocoZIOg8NjkdrWitNuaEQc9KLGeRxJ1LQlEI4koj2RiNBdTComxqU6H58RlYiiRf8PEbqOz0N7gkbqSAmTkBLWs7f+6SkGTErUo8Xu+Jtvbk9arI7EZWj0xb/JeKMG30o3Oloo21sr5Yv/Tw695P1GEjA6VgtZAWyKow6PTb74b3z6jUiYUQBL2ZeoKbuAyPL2JEfp8K+iKAiPGwujfikgW2G0xSC82XTZvhf/bzREQtKNBRQbJDkGYUptt9dukCRoQgdAgQJRiURop30V5z9GUYZoSACgQIQRoXJNt8c1ClaI+otJwpX2NYiX7avUQat0/cXDKJgv29cEyF2PWQsRWjrui0ZoJSMEjb7L/b3BpW6akpIS9OvXDzt37sTUqVOd259++mn8/e9/x4kTJzo9ZtiwYbj77ruxatUq57bc3FzMmDEDpaWlSErqXJ2vq5aR1NRUjhkhIiLyIx7ppomLi4NGo+nUClJRUdGp9aNdUlJSl/tLkoTY2NguH6PX66HXq5ehERERkfe4NO9Qp9MhOzsbOTk5Hbbn5ORg2rRpXT5m6tSpnfb//PPPMWHChC7HixAREVFwcbkIwsqVK/HKK69gw4YNyM/Px0MPPYSioiJn3ZBVq1ZhyZIlzv2XLVuGc+fOYeXKlcjPz8eGDRvw6quv4uGHH+7uFERERBREXF7cYfHixaiursaTTz6J0tJSjB49Gps2bUJaWhoAoLS0FEVFRc7909PTsWnTJjz00EP405/+hJSUFLzwwgs9rjFCREREgY3l4ImIiMgjevr5zVrVREREpComI0RERKQqJiNERESkKiYjREREpComI0RERKQqJiNERESkKiYjREREpComI0RERKQqJiNERESkKpfLwauhvUisyWRSORIiIiLqqfbP7asVe/eLZKShoQEAkJqaqnIkRERE5KqGhgZERkZ2e79frE0jyzJKSkoQHh4OQRDUDueKTCYTUlNTUVxcHDTr6ATjNQPBed3BeM1AcF53MF4zEJzX7clrVhQFDQ0NSElJgSh2PzLEL1pGRFFE//791Q7DJREREUHzQm4XjNcMBOd1B+M1A8F53cF4zUBwXrenrvlKLSLtOICViIiIVMVkhIiIiFTFZMTN9Ho9fvnLX0Kv16sditcE4zUDwXndwXjNQHBedzBeMxCc1+0L1+wXA1iJiIgocLFlhIiIiFTFZISIiIhUxWSEiIiIVMVkhIiIiFTFZMTLbr31VkRHR+O73/2uS/cFkt///vfIyMjAqFGjsGLFiquuWRAIJElCVlYWsrKycO+996odjlcUFxfjuuuuw6hRozB27Fi8++67aofkEcHyd9uV5uZmpKWl4eGHH1Y7FI/75ptvnH/DWVlZMBqN+PDDD9UOy2O6e11/8sknGD58OIYOHYpXXnnFbefjbBov27JlCxobG/H666/jvffe6/F9gaKyshJTpkzBsWPHoNVqcc0112Dt2rWYOnWq2qF5VFxcHKqqqtQOw6tKS0tRXl6OrKwsVFRUYPz48fjmm28QGhqqdmhuFQx/t91ZvXo1Tp06hQEDBmDt2rVqh+M1jY2NGDhwIM6dOxdwr+d2Xb2ubTYbRo0ahS1btiAiIgLjx4/H119/jZiYmD6fjy0jXjZr1iyEh4e7fF8gsdlsaG1thdVqhdVqRUJCgtohkQckJycjKysLAJCQkICYmBjU1NSoG5QHBMvf7eVOnTqFEydOYP78+WqH4nUff/wx5syZE7CJCND163rPnj3IyMhAv379EB4ejvnz52Pz5s1uOR+TkUts27YNCxYsQEpKCgRB6LIJbv369UhPT4fBYEB2dja2b9/u/UA9yNPPQXx8PB5++GEMGDAAKSkpuP766zF48GA3XoHrvPF7N5lMyM7OxowZM/DVV1+5KfK+8ebrfd++fZBl2edW3g7Wv3l3XPfDDz+MNWvWeCnivnPn7/qdd97B4sWLPRxx73nqdV1SUoJ+/fo5b/fv3x8XLlxwS8xMRi7R1NSEzMxMvPjii13ev3HjRjz44INYvXo1Dh48iJkzZ2LevHkoKipy7pOdnY3Ro0d3+ikpKfHWZfSJp5+D2tpafPLJJygsLMSFCxewc+dObNu2zVuX1yVv/N4LCwuxf/9+/PnPf8aSJUtgMpm8cm1X4q3Xe3V1NZYsWYK//OUvHr8mV7njOfBHfb3ujz76CMOGDcOwYcO8GXafuOt3bTKZkJub69MtQp56XXc1qkMQBLfEDIW6BED54IMPOmybNGmSsmzZsg7bRowYoTz66KMuHXvLli3KwoULXb7P2zzxHLzzzjvK8uXLnbefeeYZ5Xe/+12fY3UXT/7e2910003K3r17exuiR3jqultbW5WZM2cqb7zxhjvC9Ki+PAe+9Hfrqt5c96OPPqr0799fSUtLU2JjY5WIiAjliSee8FbIfdaX3/Ubb7yh/OAHP/B0iG7jztd1bm6ucssttzhvr1ixQnnzzTfdEidbRnrIYrFg//79mDt3boftc+fOxc6dO1WKyrvc8RykpqZi586daG1thd1ux9atWzF8+HBPhOsW7rjm2tpamM1mAMD58+dx/PhxDBo0yO2xupM7rltRFNx1112YPXs27rzzTk+E6VHB+jffk+tes2YNiouLUVhYiLVr1+K+++7D448/rka4buHK79rXu2iupi+v60mTJuHo0aO4cOECGhoasGnTJtx4441uiUtyy1GCQFVVFex2OxITEztsT0xMRFlZWY+Pc+ONN+LAgQNoampC//798cEHH2DixIlXvc8XuOM5mDJlCubPn49x48ZBFEXMmTMH3/72tz0Rrlu445rz8/Nx//33QxRFCIKAP/zhD24Zfe5J7rju3NxcbNy4EWPHjnX2Wf/973/HmDFj3B2uR/T0OfD1v1tXueu9zp/09Jrr6+uxZ88e/Otf//J2iG7T19f1c889h1mzZkGWZTzyyCOIjY11S1xMRlx0ef+Yoigu9ZldaeSxu0Yle1pfn4Onn34aTz/9tLvD8qi+XPO0adNw5MgRT4TlcX257hkzZkCWZU+E5VVXew785e/WVT393d91111eisjzrnbNkZGRKC8v93ZYHtHb1/W3v/1tj3yBZDdND8XFxUGj0XT6ZlBRUdEpwwxUwfgcBOM1A8F73ZcK1ucgGK87mK7ZV6+VyUgP6XQ6ZGdnIycnp8P2nJwcTJs2TaWovCsYn4NgvGYgeK/7UsH6HATjdQfTNfvqtbKb5hKNjY04ffq083ZBQQHy8vIQExODAQMGYOXKlbjzzjsxYcIETJ06FX/5y19QVFSEZcuWqRi1ewXjcxCM1wwE73VfKlifg2C87mC6Zr+8VrfMyQkQW7ZsUQB0+vnRj37k3OdPf/qTkpaWpuh0OmX8+PHKV199pV7AHhCMz0EwXrOiBO91XypYn4NgvO5gumZ/vFauTUNERESq4pgRIiIiUhWTESIiIlIVkxEiIiJSFZMRIiIiUhWTESIiIlIVkxEiIiJSFZMRIiIiUhWTESIiIlIVkxEiIiJSFZMRIiIiUhWTESIiIlIVkxEiIiJSFZMRIiIiUtX/BwOtjDl+oCgpAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for α=[0.7, 1., 5.]\n",
    "    plt.figure()\n",
    "    tout,uu=mPRK22(rob_prod_dest, rhs_function, tt,u0, α)\n",
    "    plt.semilogx(tout,uu[1,:],label=L\"u_1\")\n",
    "    plt.semilogx(tout,10^4 .*uu[2,:],label=L\"10^4 u_2\")\n",
    "    plt.semilogx(tout,uu[3,:],label=L\"u_3\")\n",
    "    plt.legend()\n",
    "    plt.title(\"α=$(α)\")\n",
    "    plt.show()\n",
    "end\n",
    "\n",
    "plt.figure()\n",
    "    tout,uu=mPRK32(rob_prod_dest, rhs_function, tt,u0)\n",
    "    plt.semilogx(tout,uu[1,:],label=L\"u_1\")\n",
    "    plt.semilogx(tout,10^4 .*uu[2,:],label=L\"10^4 u_2\")\n",
    "    plt.semilogx(tout,uu[3,:],label=L\"u_3\")\n",
    "    plt.legend()\n",
    "    plt.title(\"MPRK(3,2)\")\n",
    "    plt.show()\n",
    "#tout,uu=dec_correction(rob_prod_dest, rhs_function, tt,u0, 3,4,\"equispaced\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 8 Threads 1.5.2",
   "language": "julia",
   "name": "julia-8-threads-1.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}