1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
|
<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2019" minor="1"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="true" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false" editable="true">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="0" compactdisplay="false" preplot="" helpbrowser="standard" displayprecision="-1" echo="1" unitattributes=""fontweight" = "bold"" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" elisiontermsbefore="100" elisiontermsafter="100" historytimestamp="false" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1200" rtablesize="[10, 10]" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" ansicolor="[]" elisiondigitsthreshold="10000" showassumed="1" ansilprint="false" trailingsemicolon="true" errorcursor="false" labelling="true" screenheight="25" prompt="> " verboseproc="1" latexwidth="8.0" ShowLabels="true"/>
<Styles>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[120,0,14]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode="restart; \012interface(warnlevel = 0); \012with(DETools);\012with(plots); \012with(plottools); \012\012SIRclassic := module()\012\012local SIR, SU_0, In_0, R_0, N, SIRsol, b, g ;\012export MakePlotSIRsol ;\012uses DT=DocumentTools;\012\012# beta: b\012# gamma: g > 0\012\012\012SIR:=diff(Su(t),t)=-b*Su(t)*In(t),diff(In(t),t)=b*Su(t)*In(t)-g*In(t), diff(R(t),t)=g*In(t):\012Su_0:=0.9995; \012In_0:=0.0005;\012R_0:=0; \012\012\012SIRsol:=dsolve({SIR, Su(0)=Su_0, In(0)=In_0, R(0) = R_0},{Su(t), In(t), R(t)}, parameters=[b ,g], type=numeric, output=listprocedure);\012\012MakePlotSIRsol:=proc()\012 uses plots, DocumentTools:\012 na:="not available"; \012 DT:-Do(b = %Slider_beta);\012\012\012 00\012 DT:-Do(g = %Slider_gamma);\012 SIRsol(parameters=[b , g]);\012 Susol:=subs(SIRsol, Su(t));\012 Insol:=subs(SIRsol, In(t));\012 Rsol :=subs(SIRsol, R(t));\012 Do(%Plot1=plot([Susol, Insol, Rsol],0..200.0, 0..1, color=["Blue","Red", "Cyan"], font=[Helvetica, 10], labelfont=[Helvetica, 10], legend=[Susceptible, Infected , Recovered], labels=["Time",""]));\012 Do(SetProperty(TextSu0,'value', sprintf("%10.5f", Su_0)));\012 Do(SetProperty(TextIn0,'value', sprintf("%10.5f", In_0)));\012 Do(SetProperty(TextR0,'value', sprintf("%10.5f", R_0)));\012 Do(SetProperty(Textbeta,'value', sprintf("%10.5f",b)));\012 Do(SetProperty(Textgamma,'value', sprintf("%10.5f",g)));\012 RNull:= b/g ;\012 Do(SetProperty(TextRNull,'value', sprintf("%10.5f",RNull)));\012 if b > 0 then;\012 rho:=g/b;\012 Do(SetProperty(Textrho,'value', sprintf("%10.5f",rho)));\012 rezgamma:=1/g;\012 Do(SetProperty(Textrezgamma,'value', sprintf("%10.5f",rezgamma)));\012 else;\012 Do(SetProperty(Textrho,'value', na));\012 Do(SetProperty(Textrezgamma,'value', "not meaningful"));\012 end if;\012end proc;#MakePlotSIRsol\012\012end module;#SIRclassic\012\012# Initialize interactive document:\012DocumentTools:-SetProperty(Slider_beta, 'value', 1.0 );\012DocumentTools:-SetProperty(Slider_gamma, 'value', 0.25 );\012SIRclassic:-MakePlotSIRsol() ;"/>
<Metadata-table>
<Metadata-category name="<default>"/>
<Metadata-tag id="0" category="<default>" name="Document Properties">
<Metadata-attribute name="X-CloudURL" value="http://mymaplecloud.appspot.com"/>
<Metadata-attribute name="X-CloudId" value="5745946419789824"/>
<Metadata-attribute name="Item List" value="true"/>
<Metadata-attribute name="Keywords" value="<default>"/>
<Metadata-attribute name="X-CloudGroup" value="private"/>
<Metadata-attribute name="Author" value="<default>"/>
<Metadata-attribute name="Title" value="<default>"/>
<Metadata-attribute name="X-CloudXId" value="183659"/>
<Metadata-attribute name="Subject" value="<default>"/>
</Metadata-tag>
</Metadata-table>
<Task-table>
<Task-category name="<default>"/>
</Task-table>
<Task/><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">The classic SIR model: Infectious Disease Nonlinear Compartment Model 1</Font></Text-field></Title><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="79.24253459577568%" captionalignment="0" showinput="true" captionposition="1" id="Table0" alignment="left" randomized="false" labelreference="L6571" showgroup="true" order="row"><Table-Column weight="706" separator="true"></Table-Column><Table-Column weight="382" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6572" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font family="Arial">Last change 2015/09/06</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="3" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6578" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6577" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="centred" bullet="none" spacebelow="0" pagebreak-before="false"></Text-field>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6575" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="centred" bullet="none" spacebelow="0" pagebreak-before="false"><Image height="79" width="230" zoomable="false" labelreference="L5864" drawcaption="false" captionalignment="0" captionposition="1">yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:^FxYqo[;_fiOf_CS;P:FZyYUCn:@j:@:::::::DJ;DJ;:VZ=VZ=:FZ;FZ;Z<FZ;NZ<R:?b:AZ=:::::::ZyAR]B<x^`YZ;F<?R>=r:]R:yIkXd;b:AR:Hj:<J:>:j=\\j<Tj>LJ;HJ?@j:@J:HJ:Hj:@J:<Z::^Z?nZ<VZAFZB><TJ;Dj:nZ;VZ=fZ;Z<VZ>fZ@vZ;>[:F[MN\\NF\\OfdQvtRp\\[>]DN^^vh]^`opprFaKb:=r:Cj;Pj=DJ<Lj<P:=b:AR>CR;@LCTjRHk=@NKDODPkb@PSDwCIWDAqK@R[HME@TSIO>@ujEpsLqSMmTTmUxYg_[=F:?R>AR>;rIpYxAQMmsnXTGhpGesB]wJhq]TuGHVP]UPYRAxLbTL@AOTDKpaV[DyV@xolkllLQhXeLMx@tYAkjUtuhR>`P:IJe=PdevRhxBHpQtmaXnpuuIusQQWRpqEUXxHxEQRLAMrIxl=oK\\l@\\vsetXajJ\\P]Pw=lPqilXPYXpTqYm_AXsuRDPmohVuLJcErGutgqSAeu]xVVTw?uNTHw@QM`qocmXppS[dwH\\kemkdULaAUVUurPKsaXiPL:yRmWcNPrE^Ze_hDWtPx\\i_v@`y\\qhTgl?f[<_];N`kb:kbm;X\\ciqiVt]XuuxRmCpwIT=DwquNKs]QxsGinmSSEUEMHXqUf[R=qbWMoPtjoHMfUnMXlktRsaUxMXXiJsXTGDUNMmJutpIOV]wxhYthXIQpPuLHapMeknTVGYXqpVuXl=TwpPUdqS`pqQMTcYopqtuPmLeUhTWlew@UTDHLiAS]awAlOi]tRiTwDvuQTiHS[]ociYd@XsYjMhJYtLwxkfLYsiySQQXXUpDRk]LJQvMHlGTjPPLDhe@Ws?W]No]AwgnwgfpyE?p;gkDQu\\_nGPmEWn:?rDp_ni\\XNuYx]Dv[qheLvvXXg;wnTFG@QMmC::::yGCuy_UytXUgEk@yKSyxXXRKQQK<s:AMY`WnQutTSqPXmdwS`JdTlVhM_@sr<UE`jS\\VFok`otUhyLY`UHd;P`KPywOt<`bIntXOmoA]kpaRp[iikkxrYohUIwSIfqfoJnjBNtA?kKpvtx_tnraiuZgwCibrGoANsup^Soouy`Kqga?q=h\\>>fr`jkvh`?dUIx>VtXIdr@n[pxK`oQpeqgnEPcpy^DPa:hmhq^;ixiAfOQpcYiMqmFIbgPZWAos_hHw]jnlT`ZlF[VQ`f^ZcvlvnbBwga>r>fghA]Kpnf^wX@vUpZaYoNa]XVaoFwaytm>x[GxxAnUiuAO]g`mjHhtpkCW^I`hDxbcP[_isEOas__Q_kggcl?rY_eSoxINljXiu`k>FlmV\\lfq\\gfPwgPfd_Pc:H_:GiDht?hhahhipbVgaAyy:>huGqlX]o_pOGogxhMfmkOc<AwEffNG[XhoRgtXvkGicEQdmN]V@tPhtXngT``aPbN^v^Ha[_vdPdnhrAfm^arYQdm>mywbxxmLQi`Y^QNhTfs`GqLPw;V_HG]XyarOxMGsFQhPFoZ?nd@nO_\\QycVGpuhwyAZkNmBiuVqr>gr]>eY@kD?ZUag?SS?B_MWdOu^UwCOwxwDjexhYeiQbQWxYOCqcWwmh_KtrMc^QGKgbnSSheyLKCiqhKSIrUFhMTyOVXsU[;f;KSvKRHKc<EBaIurYv]GcxEg\\IhwSvMCTkAuBgC`sw\\;GKGbckrcQtRCx>oD`]HtQsr=dewVfeeI_sumSW_eqUUoog^GH_GYncgbGgasB\\yhxOYfat^kiYYHN_TeSVpuurSY\\WRtUH?WxQQsJMETeFtocOewV?uVieUEVGgg[ygestrGWGYSWUU:Qh\\=UV?dNTx<aMf@lfXL@eOpPv<yWfxv\\YWwTwAptUiN<MnSmQ`UsYIMSDuNAsAiSSxUJpt\\DmKUkK@SlmRJUofxVEdnZEuFhLh]R`aUktSghvlAT<Pr;drBDN]lY^<Tf=o;it<AuWPPVUuI\\YxAskpOOmXouVripXAtdIS<=WtEWGTwlHP[aWL`Nh`oLhPZdNePJKIV>MNcPL_`j]arZIobXR>aoFTr=\\KyqUdeYyxmeIYAEv?hOHiKf`VRlRDdSVLPl@lKQKQTmhMsH@Wh\\LfqjgLXS`uwtr<IyETTfxX\\dx<YU]PQ=@tXYryDjxPto\\tyWibfk^PnnYcYWqyVaxox@XbmxwdA_cYbuqdaw]fFo]`sp^gZw_gGlR__ofoLved?]TirC>cTg^Aao<_yPg\\GNcvf[:oypf]QVaOYxWXw[FwB@r\\WveI\\E`l@OxspcgY[kyfPpb`^q:QfvPbnxbBxd\\hknwffNhp?auniDyghYe`nuUG\\DAk=fo<OoIXpZOgBggdy`PIwVa[D@sxx_hHk_FpSN\\TNwYIqDpo^IdCPfPOvWX]Zol?GklvtAp`SO\\`wlIFaH>_]O\\qOjNHjknyj`]S?=wIHWXXYbnqBYWu<EbqUgEAyTsVKmV_wbFkU`=e[qSgCEEKSJceNOCIMBdixWUe^?ixqy;SCMAshqVZgTc?thcGKorA[BeQuJgyTYCgeXSQXoGryPyhylOYq;TPqTsh=UTqR<qWPXq`URlpUTxTfuVo\\SxYWaqRGTJMyrDymTdWv@MTQu>TWPXPglrM@j^`SZ=MItsPMs[eqP=wWpJMIoAlRSYsChPmioTlTY`OAAUa@YbEs`aVgdjVPJePNkPT]dylIsTmUoaWpmQUYuuHmPLWXMPCxUQtOsUJuAJ[xKoDRddreUo[MumdjhuNiEtolWQ\\vLLS=AuJiTFmnQQyUXOLHScUMGXplpTg<T?tkmAYVMMMToAHXAaSB<UeAUuXnmMYvHo<uK?DoLUncDWvEy_LWgtoIYWKtUpqVttwpPYoMnpHL<Aj\\`rlEsYpqytvOAXilNidtOipfeShQX;QXsyLALM\\\\mZ`jqPMHySEdjPAuy=jNtMYDJDMLeuTFUUGDq\\aWUMVoMO_XVgaLihTN]teyvo]RmpWxqvThtB@qqDmSUQodqChl^eratrKUqZLMr`JFlN<PlXQUI@RwDbj?bR_`XPpoYwSfymvrpWsu`gVge^heBpnLXrCPj:_i_if^apH^d@iliX^UFk]nd\\^nQahvajcIuhF`KGcl?yy@_l`_oqv^@hZ>tradkfncFsDGpOftkWwMFepWcmpfgxnG_fioeGqdJO]@pxVgyBvcBVmh^d`Yvggsl@qAIoMNxoqwZwhsNnrVsRFb>@c:Gi_FZDWxGac\\Gh_ybYxbdyg`WwxGmEYkfogEF]mwiqOfPVbf>fbNjtFh?GZrojpwh^at`Nk[XjH^aeOqPy`]FuL>wVweVgr>VdL`qR_tBitc`^T@t?^\\OFx^Nkigea`pGOacVqnpkqXgagsIHusQfuIroFeFNlRqkPQeFoc[Nw\\qoKN_KaethnV?[bIlQQxc>dTqjvYvJP\\fHjyXow>cE>ZAOv>yeFWa;XlLqyCQl=X]FPkuV\\vFkDNrvGo=Fk`F\\HIaPadHoeLog^`bd`nLX_hpuGAk]IukptiIhlgwrfbhveXqe_VdNpfXHvdOhxV^Kx^hitRhwqPf`axwgs]hq`obpV\\[WgDGgggeRnlXwtfGa>OouOpmAm\\v`s^bcfoINxBVkDGo]_vGPhDGvFiv\\QcIh^g>erXnOhlN`nF^q`iq`VwpHavp`m_tu`oxoaaQ`qxcWfonHj\\VpDPdcX^XN\\jfkJG]Jx_`Nod@lAXl=VohvtJPmDQxEioAIhkg]S@knNpin^Splf@nOwb\\vc@fo@^v<hb?f`D>tp`pE`eqWyNWnwwiSYy]AptFuqWcTXggAlepx\\G[kg_bGjJPxxar<iiP@ucy_hPnGiocOmShm@Nx\\_r_hZ<wcL@_gNfVH^LOZ;ghXhrUoxxVjOHqiqtr`]y_flhj_XpXpsU?hLil@GfE^_mWaknfK?]P_`iG`Dw_R`nRpdqNd]WpPIpZifx@qAac[q^Col<o\\^p[ZOpb^\\Afl@WvC`Zka`QIsTPpRigfqwYFpgndKopQhs;gbp>fmG[\\PgxQf^xnO>gZV[[FhBaZh>aUOk?`^AOe<ivhN]?IZD?cMomD_]PphlF`N^_vWmavttx_]hyu_php^<YxtvuUakEA]ZP`Cp]So]:x\\dwb>QhofZdp`A^bp@saWapWbPngaqj>YiGirqPnkQ[\\pq<foMgcGx`pYgoy]d`hMouo@dJQePGbk?uQWs>h^uNnjFupOjjh_QXqZndlAvZqtVio@g[L?iJxrUgdNHj`n[wFb:`cVHZoQyj?\\=NxyeTWXjmxFagsUGuUIuACaMgv;E?UFL[D@=FfQG^mDd`tWTOLeYqtl\\AYealmLLcun^yoxXYkdL^xKbqJ=YxjhtBlVumTTHx`\\mcuNTHw@Mmkq>:ZQi\\qwZhhq>xdt@dHqrnob>Yo\\YiBVsK^r\\Fsgp_NQpiopP^xkW`K_k>XyqAoKXcXXuVpj:aZbQxA?jlpbd_\\D?ZcH^>`[AWiA?doy[ixnEWmMqooygow_YGiv@s`opcvvUGqhWef^lLGaOYoL?baOdh@];fkEihuYxSpc=YjL`^BaZ\\Iw_>iBG_GOsNYjDO[M?u`PnUHsTWu=oxGW_SaluX^uxl_YhO^j?Qfl>]^x]LghCPttOaOhsMGyX>rcihbPnV_\\s^lxH^bV^w>^HV[Y`jka\\\\WhJ`ja^^pvplxfww`nXwAoonWmEFmigfS`^PpyoQfmat[voQ@ZH`qN>yk^]dN_R>C]uCurRkXcMH=WfTkeoebJQG;EChoRuMXxaT^wrmEXiKsO[ETUTQgxAEehuBVsD=uSWyh`cYpQwGcFcmHBAuoAGS]fqATNOGHYG:sR`kxPAe=KSAyxRUgd_U\\MBryTuwT<Ct`WRLQTvgFFYiFwfcoyTwXvgrVoy[=E^WunAu?WbWSh\\inqPVF]UOtt]TLH`Q]`OXYuT<lbiottt]IrWaSWlYuIxFhMeDS;mny\\q:\\NLpj:qTGHRBiwcXJipQ[\\WgpvTlxNhuklTMiK_YUh]moMQV`VCPPQ`vMISMaVGhP<hwZdYv`rc`qNHlaxP_XXM<PRQTfXxB]kSlj^]W^IjCelXDntIqI`WPeUtqSsdw_lKEuk[XL;Lk\\IkJhR^]O>Qmt@OBxtLpNNalVMTXYjc\\U]qVBmO@irXpUgQRQmYFuKxhV?lpaxljxmeeoppjLqOZ]xlXpLPwhenTMQiqvKMO^MLaPoXprvPtSaOPduBmmP]PEiuvDtbUwU]SC=XC=XPQYlIKHiUBYlCpJVDVSaNIyvCImhIWcukuIs?MUuhVhpVU=Q]DRvpP@qL@TxRPnuqWEANbDjCpyS=fGvbwBp=yhWe=mXfkVdSUs_GsODIsvjIwBadu;FOYIhsiJeGG=gcCWe;wtYrSWiMUwYaWwqHCqssAE_kDmgEW?nWyslMJSmUVEPf@tlUWR<WjMLcYYe]lciJglYBMW^`RRxTu]YAhJ^@oJmL?uwRexq\\o[eyKuyqmnq\\vt@Vp<WLUK_QRDaqjPOfUoTXPmPks<ou@YsdLcEqxhpM`QeuMBYWYtq]lVAtO[LwMPS_Hrq=K:Lmi`XpYjnXOydmuYUUHOP]MA`SeDYn`KULR;xMZTujtWb`unUdpqnb@gbWfxGsH?_So]W>dN@qNxvXVl]^bvVk[FZ`?fype@O[hhjdqZafotYmk_ulHdHGhQP\\Ww`NN;KSamv_?elGG[;FoYEgOfnGfOiU:iU^QYN=YumhIGUGKVOMf<kMA<XChLkUMdIOSqMhpOEQvSIWlUvOLmPevk<w\\PqvXO>tSe\\nbtlxhNg`mcxT[YO;\\nFArvtpFmQWLUeLs<ptTTJ^dKLIXELN@pSCqPwxWO]KhToMXufqw[Dqmxv>uui\\R[LK`uLEDSCIxAykV\\oDyJilLULMPmoAaoXeUWMv`Hk]EVZYtFeO;]QFxvWAuP]qBpuN@ouEWelxmytwHQtxPIiUPeYgqn;DPjPwgPUiiplTlEuTw\\NnUUQ@yNXTLHxcHkJptBQwSHTKENoPv><yFaN^EvjhX^xVDQLjAwEQonySN]KAas:mXVlVDIo^AqD?e[I`?P_WNd[I_[nfLOoF?vlIZbh\\pp^:PsfAqE^q?qxxnvSIl]gpRXplq^_Xc@ougIZcxxBFn``viWvbP\\YYwy@ien_Iy^WnjcWnxapIwZjGrMPb_A\\gimMOa??mSVvI`b]V_OwrQVbRfmVP`VQZZ@wNQ\\gP^>XwD`c[XeywpnVjlFfQ@uI@dtqbIWtbfaxnwK_vZq\\mGmLVc[F\\mybs^]AN\\lNkyUW=fOERLMrC;cj?V=yxQUxPguOYXroXpsIs?yliSBIXSqR?Crnuh;;wZ?dOCvTuHeuGSWYAAdp?SqaigYgPofoEDUcdnGthsgkKDw?FBGYqDqpTpmHp:YoRPRFyQL<QNDSVhtFpLqitHhNidQEHx_<OFUJ@`mSXRmPySXtlqYRto>arRiUTiq_LuotPaDsNlRETPEYPHxmWAlvhNKATbtV?@eMqwqfo_iwuF`HieI_\\e`_>Gc:_d@@^:>ouXyehrbgre@bdg`pfx=vtwHqZH`g?m_op^AtsN\\upgjYdnFkH@[sHwsgZ>ItZf`MNhqHnwP`kfkEVqJhtFNbB?dNGZrFZIHk]Asl@\\LOiuPw@v^yhe]wf>irvFgcOf]VlGQ[I>mG?cX__OIdI_rbgcy?[`Xxtol<vw=f\\DielH`PpiE_rMpw;hpdgZCVyqvnUioIfpx^qpUSYSaEdpUIKiVoUcGwhesWDsD<EIjEODPqiiw^`kL@m\\]TaQpkhQ[yUoLx>an_DwIMSIMp]MJ\\tsC@jnMky=j_pM[hxXxp;XSoqUWikUMvl=KATqjinPAoBAVliV_DR?<ulUN=dtZhwKMUjDmfhkomNMQLkYKuTVTESTiM=YJjpQJMWGpPjQQOmpMdowatRqPGpSTuveqoBPJpYUfpWiTO=iNG<PFIpiTpRISmuLC]K`aJlUNKuMf`rGhJs@YM=OPUtSERTQtO]nR\\MxQTOMJQyUoYn_hxSQPWMUeXoseyoHs\\lkHHtv]UhUNNEYQEXS\\O?QRQ\\mDUN@\\LdPyiPY`uvZpLsxPT`Jfqx>mW=DYFEQL`ly?`Z``ankoIfGWwcphyXnuxfup`DfmlppDYx^@oDNdQhi`nc\\PlNyZu@aDwoA^tCij:@^ope_HmGWjZqvbvaRV]rgLOTVEC]]WBMRxMCXOeFmrmMDvugYay@eHEYeVmrdkHxlS;Iv_PpMTv<tRTUs;YPkmt>LjVdo]aTuTyhdTuuyGlSP=yZYp?DQs=xQpy[UyVxPsqydIly=j`\\PgQYoXRiTylQkfUxquPpTt`HJrhdTna=_f;FnOXhKYt\\^\\sXq>y]WV`_ngP?sKHofpn=Xn@>\\F>lopeO?fZI]jy_ZA^Avkegx=V\\V`xEI[Mig\\gml?isY[D_sNnb<_oD`qBNfGAsrn^d`qbobui]wgrZq_fYignw\\od=ggj_pJG[_IqLOgcFbH_`RQmeIpvFxwYgnXvG[nVTHH:::ro=VdeXgeYeeWumfVIeGIF[KRqoDa]f@ARnkgGkwCUcPeRlYrEmS:MX_EGHGc?[sskC>ED]AYa_VkCc>cw>MSP]f\\[wH[RJ=G;uEbSYWEXPutJ=W;KBdyCTws;wdyeutgFgqg@EH[cDVMTQqFSMxP=EvKsH?StsbeWDv;elWUSGUUIsCQCPAWC;rnSHwIvA;b?kd;MecCEBScBkbZsRmIxRYgViXnAUF]GgixvkGL]HYmd];x=IExonULl@LQhmo[`p;lWh=U^@k^TPYf[NorH_sno^A_agX_`fe_PoQqshoZBXwOAi<yZ_gfRPyT`eFn[h>koyn[H_kpj;?^oUDoBaWfKGIXWHD;rM]f@gt;SwaahMmyU=uVav`iBWggGWutQSVwRtYVv[V:CItqfvcE=;f:QDNoROICS=XLscWMXW]ba;e<OBx_Iy?Cg;wCkHc?fWqXVYghiIuAWKecaOeD?iumh`wx>sCCMcfwWCefU_vGgxMkEPWl>HLxpnR]YnAVOIKFHJ:YJ@TLB\\RFpJ]mmk\\jSYv<`xYeQpUui@O[IPQXPRQMLMSdToMyr;HLNdqHpUaiO;mmZdkwqQf=Yv`WYuOuUXTxSgiUCyMN=OvxY:pRUxWe@NAyxMMlT]nQTnGdN:`X`tJYTuehs`LlR=SrDkKpR:mMqxR?PxVhO=MQ^dox`tJUoSpr=PUR@T:yWZ<VJHxVtmC@mpPSwmKuYu>`ssEjvTJUHy_PUV\\T_DqLdTV<WI<N;eL>PW;uofavoHybivFHukivIAL]IR\\EYr=jwtqauPOqmsdwmqOelvvuuRArpQTexXU\\Qt@lBQsLEp]]QoYqeQSoDn@ijchJhasJqs:qx\\aVjDVcDOcdLVPV]ljJhl;\\v;mroEQYPSw`r>=UppSyUlnmlBinSnoO?bcpfNofo?ZhgrNhZOn^NhtOwqcWwqYdE@ghNvmV\\:w`Ona:I[:N\\w?jWfyT`pQqk<QtTVtDN`>qqgA]gWdGNZlXuCQiR`q``g=VkS@rSfnoN`\\n\\@_vvqw[gZF^s^^bDgjS>_kHmbax:Nb@YeAvtmiiP`x]?ppVpWouLgn]OdNyeCxk<hobGakNZ^P[NikSou^a_k@pvirnIoNf`_@eLynfYZ>ymr`ddI`PiydatWOqLOxYqoQ_tP>trwk`NraAmmQd_hsl_jgFqr^pYq`lf_]NbGQ^U>aN_m<^jjH[>_l`>m:^fFA[[orfWyYnbgiu?OdHgr[gafP`TV_j`[>PtvHi[`f_AbIo]V?oCfn@Vn]Wpr_mkhfAqsLPqD@ld>]IvpCtnYYcesZkhUAHgAGOCGSAteuY]YwDmX\\MI\\oDDoU[Wu=_IkKU_gv>]VEeE]Ex@yvamR^YGCkd@aUO[VLOU:]Ylme?]CaAyiYgXqUqqUOmGi;xRWgESSjACm;BCCU]KvO[fd]gA[Hc]VuGGhCuHGr@irCavY]EAaeNswWUsM=UB=dBwglUVwOcnqyIYw`]RQYcgMwLoU>?uoSurotNCYb=Fr=gBWFdUEJatb?VPMc<[Y_sUV?eCAHZCgniD?sFn[BFmF^;i:GxVeT`QYAAveCuOab`cgayhBcirWvhkwCKFDEtJ?Fj;FO[FLIg]EWPCIu_c?GitOHO_FqgDeWbj?fcwWngwxaXUgtfqURQI_GfpeYqGTqcTdqTeEcmKVBOVOmWHEg<aW@wvKyBVgdvER=Eu`YBTMCq]G_Eru=BJKvukbkmtbLJP`p]PTYDTTYSBtTKlx^ePOM`cvn_nv<Fty@qVyh]y]`f\\:>jBO]hhaaxo?fkGau;gf^n_aAubWgqPqefwdw[yPdxhriohZPgc_sbpxU>feNyKqt>?jqph@wZafZHOtqo^]wcTNdXWt?Wnbou^Pb]gaCo^PNeVin<IdFXn<V\\mNlAAjNixXYkUYyZwheAuuYkRXnh__ZiZ:_tcPdhidsFZ<wdQ@^BVukGoS_[`y^NfdlW\\AY]j>o>ftBXyrOkThinqn[hgE`uba]IyoGnnSigyNq\\X\\??dTOcHihEps[o_Gvg`ab``gkidd@t_gs[HhafkX@bNY`D^d>ngc?ZyncE?`^?kkxjOihQQiggyQ@oRoqoXufqn?x^whjXG_=v^SX]rvZEP[lobWYc]Vd>QZBNuXVbk^ZWqiei^BHmV^nhfdNXj?QjgAdv?[kYnIVpdOgLhxqYuOXZX>twgdOxw@Gu=?\\Yo`UfeMxjK?s>PfSYiU`g\\_wk@vKylSX_vF`OHgFHoGykAQ\\Oxj?^v_f_bGsj^uR@fvYn`ytNy[CW`qi]qY_cGtkX`pnZWIn]Yrb_tw`plNq]@c=Il`awrG_\\gp<>jJOgQXZTaw]FrTWsUPq;giZNiQqh[^fo_Z?pZUHZsP:ycUqwgkB_Gdc]homCYgCJQxDMVloVnuskCSnIHKYDMYBmWHK=rNqudqsh]el[THiSESDRSDD?IMmbS\\O^IQHYPIYkthpsPPrTyu@SXYor@meXNctTPqJ?DUB]JJlxZPKGlw\\llsTnSEN_AYRLJB@N<xK;\\JfIRPyXWPmauNTHgnRMnCa@::[duqwy;rvuY@yI:WboydxatCWsHYryxSYyi`icyAZNig>wryew[rYSycsybat?MSwYCQmhuYrylvPivywjVwqlisV^xI@cyoyQpjyesYCyUGeYYUyI:eyhYXyavy;B\\epnIr\\PmjXQhdscYQWixLQnjxoOLs`pPEiWCpo>xrVmnRimjDuL`XJQxKLsVLkMTMe]XsUQEDxc<s<P\\;^vuwo:o[RvjGyxfhuaapa@os`_^FeUVqvO[B@vjvr]^oxWd=G]P@ownthfeCi^E?\\r_tbXZNgauF[EpgwhgtoxkIcvGirnhJWeJph]ywW>rN^\\Ofn?_ioOshFm[YiiNh:ohLxrCXwPflfgrE``uxeUpwSqeWIs^hZTGsOqalfpx`o^g`Ah`faq^HhawxQy\\_v^VV^Cg`;AsohZXpej?kVXvOii^gqeAeu_yXOaiy^Tpr]GnlXdgg]<x^JPbm@_hCUeEW[DZOB>KFOMwwqXPWuaWbL_y<QG\\UGeWiUwbRCSTMxskg;cFrwXtCsasgoAWqoraOSEEsJsTwyWpWtgSe;MyTEUHGB^yHVEVEUVweHeUIS=XggXjWE_cshGUh]GmgDn?huaRcOWpmf`YHKSRDgTPUTpgTRmEIAfLUh;ydhwwKchUiGp[I@sT_EIwge>GrF;DfQxW]bKydHorFYcwAHL=Y]cr_;y=gr;aTu[sdYuo_EHQyxQHT;UTgXZsbhCXr=Frqy:YYNcT]WXo]I;OUBkhgQwniTWwH];fwMuowIhSicuVOWGvkEoABSeeP[UQiuGKdqqDR]bfUs<sXO=XcMXlsSdmfESBGEWESS=YhSkEyOGJagj;whwuhWs=agwqrtyQ`Hyvmkq<QWaNihoW\\XX]x>QXelKhDM;mRn\\JCYO@UO?EOOEPlDkwakAERA`vjxps\\R>]tf<TqpJ_pPW=sa@LueT=UYG=WoUOpuvlxLfuYhGvegk=W_uOefHme_q\\_t[XgW?kmohFPtMHm?NjGwl\\FrmA^_XgK@]EWtsHxPa\\]igTV^lgp<oZnQkD?xbfxDXoMYcuncsHwaVfPpveWmF_nsv\\<PwegbQGqCP^lQdKhtLPo[hvvVrHF^^hhvb`eVpGs`Acp]ylorKUsdqx[MVCCcKEXxyvXAUh?g\\adVcR>ATdUyq[dgmtAGeXucfguDGUZMIEMF=mFQmDOoD`gwq[dlgWC=V@OSM_fKkVrQrTKgxmEMkFtagjgvjWhkAT^CCP;d=qS@ECDmuJYbUQyMMicYUeAy`ys`iGTAv[kWZOdPmscIRTCbm]THOGhyb>]w:geHsFxsF^Si_mt@=VREEBWEIAE^GF_qEJ_tZ]frKtI]U?qS=AUBaH@UWmww`CyKwdPuRQSUIgg[wU[AGRgwLaEUGurOItsRaoscKI^AWwuhYSUT?IUsTJeiu;cs[sxeBxmSNUUhGX<ES@Ku\\IRUEYagx@=GrqDoSSwGxH_boEYeSSv[X^sCd?TLWXTmEeweRSW\\ki_OvQCXh_EXAHGiT`qXr;VfWfrSILCrfsDH;YeoWngR[kg^IGjYyM;BHOYhcehADqGUWwHCmBoOXwmRe]Sx=e=SGo[yOIscOtX;EXkhWee;eDTsFvib>QCo?FI_X`[cY[CXoDk;TMyI:gtIGw\\ghS?fsIHcyTKaI;sS^eN?iKAuLUmRXDyWak`@JCissPx`PuiHw;YVYdP=DyZejdAkeiVNEmA=qH\\YxPmiqrO`tylYvLyeHoqpKK<UphT_IROuxVlQ=yY:Ds]`rv@uJmLCQSpAKNMReTjJQtBArgDvlXrSYlR`wfepDEn^LSkao<AJNxY:@llXK@MoylwM`qp]SYpxqprZywhaofYvAYnkmJ@ARiYNDIMVDo;tKO@tvXo@eLTMLoyOZDVkxTrDUhtwZMkcMMlQOdAm:POnPJxXMLdScPuJ=YeYPO]tXPQRqUPUqTulf]VPeosLQeUqN@WotsOxmkhPBYL>Yw@TuL`R?PQSTL\\EyBIQwLlB]JpUPMtvBAp:@v<YMQMY:DP;HUstmIMoqEuXhQcuuOaPeQPEmjPpvYaMiULlDM`<w[ElvmRLEKlXQIUnc@ut`tD@NapQihKxXRndv_DsdhQ^MXkeRZuKNpKdAY=<tr@JDxKRqymEOy@Vdqsx@oRuynALWIUT@avxuoIZPIcoWwVagmXucPscI`Kvt]NcWo[dogFxp@Otw`]ppb;WoKplZYpGNZl?xaf^Zf[v>jPghvypbH]EqkSdp=uO=xkiFOgwhou@MV\\]EgSFQmGN[R[?u\\GIVCYkKhO_sUUIFgSNGYRGXHiReKEM]V=AWMWft?RZuTkEtMoBn=bNesQcyfSTg=vvsIXUyx=gycveyTuMgUwguUcawWlse\\]gHWx@EY_ARqCxpwDdYflgvGofx;h[oSOsEZ?x^EGI_gf[E_YBHkIdiSoyUqqs_IuZwYrSCvgwwiW>?YRKxR=I>QgfCxRkwPaEDcu;Qv_aIP_BjoVVyRsoRZGvjAyA;WMmEC]SgqxpsXH_Eb[GTSXZKCoKO:]wIXupeMoYJv]YWauVPyhDn<PVsPSVmpBmo`pNy]xbmSLprNqxNArN=WCAlmEL?LPkmMvllIxK:IjI]Ny@J]AmAAmy?qRVnEhtevy:f_<OxHhuGp`c@`AWdwicqVyognba_GqtZ^vCWnBwZnYxUfgpwnXx_gplVHgaP]corTHh``mc;:hP]EXkuWauwVawfEQUTUMMUolShlWhQOB`rXauXAk;DoTEqleT]DOl\\RcULNTNG`P;]j?<Js@lm\\K]IQaAq]MLcmlb`ln\\O:et:LLC]P:HJs`NfAjVeMvmVNQTh=RJMoC=U:hQa<TU`ktAUpXlNTYUApAYwtEY`QJ`tqodpS]NILpSMlIlK>XS]dtFqTgMKYymF\\Q`<MGarohUgYnZXrF`VPQXEEl`qKtUYFltc\\KSDo^@QBiKX<QSdL]tQEpSE=NqYTm\\okMpwULM<TZtrwhtJuvfUoWHQjuv>lLY<W:aT:hy?<mqPUXtJYYlOiUOUULINQ`lidWrTS\\`NcqSHdtKtvdlP[EM[]WBalCYt<IvIPxs\\R`yWgMKf<MD\\kutR@MsLMxNDRPyY:DkktMOAPSDSREMheOiauMlSqYl@]WGISL\\rBmmd\\YXau:IPe<xT=PMTydYnWmKR]Tr=nb<rIdJE=piIWCqpjIoZ`TEyKRpraIX@HWFHrNylbXVtAPh\\WkaNoHKlEVsAMCEqt\\NEEsFAvRaV;DT=qSgPm\\DkPeKKmRJDy_]mR=RTXWEYQUXkQXPuPRQHPo<MfyY:\\RK@t:MKOdV_DUBeV^<LoMpSXNXDNnxRN\\WdxKxuRjyR;tJjmx\\PqJmpDpK>`WoDo_ATplQXEjBdp\\lKkDmKHt_ivotQ^`RZAL^YkSxtXdLlaVH=sN\\lSar^aVdAkCiJ]qJNDWs=L?xqitViPYPQWUiqHHvmqtlDKJ@q^aNITV:DrZPK=LRGpK>MMW\\xYEu=QlmPl@QVx`Sb`tJAtieWAhyAyK;tMbQq@Uwx`Q:ep<Ikghx`mok`YrenXmReUmDDoEEkHLt_<nNqvwHw;Ir_ER\\pLnxRi<XoUxvTXvHKMtN@`sn]LKiV>@NAuv_]wqhYiTqm=ulmmRqQtlYF=LODR?Mk<LjRO_:P_>iwLGccxtFngx^[W_KqiUwDKQTJKHouVlCc`=bN<iwWjNO^PIweHeanp>Qxbiofgs^`tSirhPgop\\;QuUhhWVdnHuD_eNP_POwngoS`cpocB@vuXoTGgDQkD_\\cxsvFrTP^lIg``ku_uQ_owOm=i\\@V]_fgEXsROu:>^sYy[Wa<?Z;^bfg]INq:N[UGl:>ZG>Z<nkeAo]wftPllQuEWoSgnvqi>_m=vtAAl]h[eiqbF[YarW`cJp]h`hd`qOIk`hmo`tZqha`__@apGp=W^uohnGmGgn_fkv`xMx^S@lNo^rO^Dotghnk>sG`b^^j[>`VXilOkHnbKVdYOy[hulfa`p][i_Ya[?Ap]y[?fdH``VA]PQaO>_;AkZ_uEXZiY\\phn;qtjotryp>a_OWpJhtdIc`ggwPvXi`N^\\_@ZpIZdpmIHnGxcN_cDG`ZguUIplWdjvd<g]\\Ne_IgfQfAQolnA=W@Md^aSkmbb]ysgEcCvCcSSAupmC?WeLkRZ]Fs?cmasdyUQqiPmfU]gwksPsCmOiOQDhUc:sXisuLqsHQg>iUqKbecYokDtkhb_rDMveGufATOMVsSwRoID[tKkYAuTmmwtqHPiiMIs;Svp]w?gr_ORe;D?cxnoWosHVMTssDTwsP[I;MSt[wZ_BbADvIULsFCmcFCFRobRST:=DG_f[SrO_TwIrfcuhmgu]u>QskcUDssNYs`cbyyctQc@avuiCikRFSRJcCCqBagw:qR`MvBqgJorE;HlkefkeY_BIGrjOU>[gp;gTmroWXceinQvhobgwsL;EuGVnwTVcf:SE[mx`AuUKwgCCFctJKTdGbLSFRgFHaXTASEorn;TJOv^OWFIC^?dM?S[sv\\iVIAVoWVksfjyGQgwgGhr[iViWD=SfiG>Ccc;wxwyvyF>Mb<cTGuctUvJ[gtkwxqRn]f^Qt\\qVscrOwvM[seaWU;fyef;wflQULoFwiwd_VQ=VfgeBuRSUYIYBBkW_UWPYejeiwYYOgDjSSrswDQH_SNkTN>aYcIvgLTaEXGPv^EKXQL_PM]lJZUKiPNIqNSQyIMug<pPdytQXUuLyuW`AjqPlh=UI]OvdrJlrSaytPnuQOGUMj<T;tNWUpn]w^yLl]v[PLdEK`xNFAu^@VihUIMOH\\TaLX=DJWMstiYOqNZPwweLsAun\\RpuUOTsxqTCPWCdWnEmdejoTWv<uCDkHmV^EuSDoyXL`PYJ@k:PMgPUaiT`aJ[=m^lYIHOrdMQAVoytqlXviWHTQm\\nlhp?HSXHqv<P_xVcXoFyT;`TgdLO=lLIJs<TLiTApt>UVhxvrTPQETv\\YSDquEjw]qy=JGYTginIduDeMGMqGenNqY>PtRLNchNMtrR@k_LtCPPqHouUtuaWKXxf]Kb<KPQV?dwFHlPQPMmn<aTSDq_@lF\\mZMPjIN^qvBTRAhSWYY`XVxpvxXQU@lgxuLHl?DkD=nNEON`kHet_@ML@UhqXZ<jC<MfiP`PkI]vfYkRHqPTOJDs`tMZYJ:Ij[uYWptgYNdUlOqp@Xv@YrGPxgyteeUDQRKuQUQMIUVQHUEenc<S>UScMJyQlbay[`n_=Rf]ncpJkLqNUWNtNBTkvTT:ETRuoAiTwiUgeQ]ykxmUChvJDR=ht<LXYLQn`Nl]qb@wN]VsEXf\\tTdl:TlTaWYXt?aViqq[LSeYYdqwjuQ@tw`eXFToGMO:\\nrUl;aOOYpNqNWHTNhVqmr=YNmirCmXdAOuALtdWcFiixxFFrwhx=Nl]^\\Un_wF[BW]NHns>uoifPFm;>cFQeiN`<x[PVhkIwFQym`umFmEa[_avJXo]g^Sg_Z@crYe@adcxnPh[BG^<OlHAehNsEqopgiQG\\]Wfw^kd^vVGnSg]TPpj>^IhrDO[Ngm?X_sxZMghGWnNhlufn<AtbAu`p_NOhTPuEYoVokywiHonhWwYvpIolehmfpdxAuPQtFxjAhbMxf=VckN_n^v`F\\;Hr??Z:>[kGcPpwsaqAYhyUYsXxQCaiBFWHi[B\\eXuChR;S>mV\\eT>;WBkf_GGs_fMGgp=IESGvyq[xrFEuRdUGxSv`rVDQhAjVMXxVZRi`oPw@>oPO]G?b=i`HAnOW_j_j<okJX_@Gwrfh<WxdfhYo^JHaCg]Q_ahNgc?fbG\\=aebA`:F[Jgn^fZ:>]:iaXGnDv^igwsoaeymUHp__rEWir>bPg^dNkKf\\N>_`ohjiesY`Tvty?fgar\\iwjptCvknp_[OcharP^^LHc^>Zvvcjh[Som`gp_wnTFg@QmkonVtc`@:OeCqDWADnScOCfwQESIeB_dXAd[OF[uGA]F]chsSv^GR^EhhmGOwXi[c[SBsaG\\ccjUt=;HJ[rZsvSgSlGFi]v:Qgp]ERWrwgDjYiwAFF;Sy;GZITZeBoaTXOb^CwL[tYMiLyer_r[sYG;Gp_gCQVIEsNabM_fKwvCuSh]fkECtECNmHSmRjehcuB:oFqybCQHCUY\\EvXCgV?ttAbJ=FlwCpCiMUr[UGLSs\\mrH;raWvgqF@iyWSuRiCVmt?SFc]fleBcgvHwEQ?gSOBt_wfGSr]fjkcwgTICX\\_eBKf;_Icqv\\GbO_dJQWLODFCbZct:eG<CSYoweuvbOUDqXWOgvGEH_GsSr_EbPCg?ehGkitMgFGSFQdrCc@kGxcFhexbMSiCdBcenmTmWHCSw?[G:SVB]Trwb>IFA[hXytpIVNUYFYDWSGxQVbCIQOcZqtl[FnMTAic>CHocuDYIUOHc_EoWRmMVHSuPCCKUCqIDmSVaIVCyx\\idUScGesp;xaUrYoEtYgtIdTHJUQq@UnSyOHTUgtrOUOadTLLLGHwBFwYn`F_w<`bRArbgsBqbrHslwu\\GvkIZH`_@X^jNt:yacyjbHmF^pSWiHxnMXqV_jRWucarQ_ZlAle@xL_kyAZqolvXljOlA>ZKxnXwpnXiBOxpHtUnhsHjsnbpNeD@l:WysQ]YNgLQqk`shgkoiq[Hip^jAHh?q[_WogWpTVnKyvCYdDH_Ookeya>HsjyrP>koXqvFks`ttItMNoZp^@of>ovshrkOrHqcvFfHycNFmVfeFhpIOmI^aVfmOIZBodcV\\M@sDipKW`\\ftA@qk@njIde`\\_wpshmqOxr`nN@Zk`v_ilbPoCFnZA]JAiPXf\\ihnhymijwO\\\\iyq?uInrVWknYaYqkIIypwqwpoYimAHvU`x_`yThimiJ:fiHvx]YpxieixwcWxj`ymniNxqMxcx@hiPnVwehXy;>yEyk[puvqhyWsohygqapw]@xgLyllIgqqsO^xEWkoyuZwaSFhnYaY=vnHYrjistQdxicxFy<qqCHhxWqfyZ]q_xvjuGxSyYWsoiIgmIpwU@ygLyTlIwqksO]hEYsouEZsYSIHnYiYqsIEipwiwyvHYrjiStQTxcsxIi<oYCEhxYIfyB]kgxuruIxSsyhydqaxs=ExGUyMsYGsasUryDKkwiudwARvivAATikIuyI:ivTqipsEuyC=yXcYCsaxusvDKy_irtwGjweFAItiuiura_YuyuXYTaI>:::RQ::::=?::_A:F=::::::vT:::::::::vF:::::::::::::::fE:::Z[<:Zl=:`;::::::XG:::::::::X@:ZwHwh?]L`rHXgC>gn@rEOb\\g\\dPZdP`fQbfPtNp_D_uRW]Jn_iXlhXiLg\\E>Z[NlBhpA^\\@oZrOrLNcj>rooqXfwW>dwhoV?lcVhfob:ymrGkBGd;Gp\\GZn>ds?\\IFtqG\\>Fjg>ZyAZa@^pYtZOda`yenpxAZdYd_qe_Pg]Fq]NtA?cma`L@\\UpvmNkLAd<@rEP`GPd^_fCik<oudIr`>kRfnb_b?P_S`jH^bfqtCHcyAZ<>drV_H_os?yK^m`WuIFhgg\\=YuXompv`k>]W@oCOcO`fLXjlW^OX^pWZpgb^w]EHdiV^KXnSG^Onmpn[]PvZ@^hXyuOsROZvG[AFuddhStpeBhoEoYH?_xKOw?mXMECT_VQMbW]coeX\\CSOERR[dPMVUEcBOFj?uDGYeWdNIh:[UmScUoTbmfVgteku[kcvQSlMfwueFWmciyKpwuMoYYX@Lngis\\DR[Plj\\NqAol=S]hVFtYluJKQnm<XyaJ]XT`Ul[xLAAkjdO?hmy=jspVQtUnmybPsdll?xkt@VODndqqWeqT`WYtY[PLCitW<u>TXGINo]lXloPUrKhkdYwGPQEuk>AvsHyGHRLeTZqnqXMBTOdHMTYN>ENbMLOEY<PvOEOf\\J]MO>Dnk]wG=Tiew\\lRn=KmTp_yVtdk]pUEpxJ@JfdL\\pp^awFiv^`vudLLYuWAnuukS<U_XwVXxSiN\\dR?ALSPJ<<s_XMFqM:=JTiMddrqhtjtNCXYMxoR`ULpLAAusmpAIxp=UfiVgQlPxL`PMh\\MAHx=EP^dvRelLpXc`rKLvHAxrenlPPEauXIMOUpl=n:\\X`XVS`s;QJT=qjqxfMLElW`uRLEMTEyrHYV<MLDMKLtrDJLiTDaPDPsrht_<MsIMi]N?`SNPKaLVKXw@UN\\AMPlvZlW=djupOalsKMwp]mcu^MiKAaM=::::::ZK_fTxlhhnl_[EydmFqmVsG^^NXo_Adc_g@qpMha[`c:n\\GppE?^ix]\\qwlqh^HZ@N`SX^CPsMx^Q^r??Z<nsmWmE_gHqbLyu_I\\Oiw;^^^FpAQ`cna_N\\Ngh@oaPAb^XyC_tS_ggivMhsZ_bxptP_f\\oa<Adc@fw>jNy[`_pTOpnXOSUGEhikCuMVqehsYC@qfKMffSUPuYgsYCAuxos??VoGt<]GS_fGKyvoiReHR]VhisCGDe[x;=CluY@KXXqSD_VloxMaE\\_bK]FCYw@kVROv=[sDerbmIDEFo_XbsbfAFuWgxKYggggevBqgrEhlQg=Wen]EdIRqGILIrupkqXoHAR?esC]uplMV=UTEPTiTPhk;tLcMtQiVKqXvTR\\qSlaqrDSKdrLqoM\\O[irluudPRUDSsHyCLrjtn:hSBYJR<QvxY:hTmltrmQlxqFeU?uLNLoW`QCelbhJBAr@]pL]Vb`P^ArhXQiyVsUucpodXnEIkTeoLYnDTLLylXAn``xXmmUPwR\\qpIlchXMMs>lpwaJhaxcPnYxNhUQKdSm]SXUtB\\KdeKgQpL@VQ]VePUIUJrUtUhO<Ax=UlOPqBTJJDVLMtN<vdtkfDnfIvnyqo\\V_qV@YuZdpuYSE@y>ttPHtBQx:]Tb=Rc]tvtu\\eN=EXpuUkEsNxwSEpP=w?`sAdsJtr]@XHlrJMpDxJbTt>YyTa\\HnvTHk?SdOvW_epGW==TA=vtWrhaXegWeeWWkH>qR\\[Sq[xHeWLibciU\\SH<KUKudfCdMqbX=DGWsQeFKQtLMXrIUG=Dh;x:SUIcs<_XUaSBCwaaGsYE=[rPETEmgreD^eb^_ckGE^eDiEhQGs:CHmcrUKwiWiLGYcaWBat@YE<iU^gVM=H;ehPDJp]mCuow<YLdxw`nfuWIujAXpausMIKVHmh@NBhRfHWehOOlsUil>audLthAYPtpKLPRANM<UMaMpTU=tYtMUTMxVQULUOFUL>@LR<N^Ar:=oUUth<vidOfAN<Hm_aqSHvGHnrxPTtOtdPi\\Ni\\Ol]pkQSdDkb`w`lmOHnNIVSEXX`rmXQt\\obpo;YVKXM=LmedJ_aKDqs:=O]tuEuWaQY[LMGMmUPteen=`mKqO;aY?drImtweJhdWjXvfDXOTTahYFTrFdO;lnsykPDSjPSbYSCDo>Aj@QNOPoCERgPmVhLpukFUqWUSDENUqNDpLC\\VkEyciv@UTmAKixnWDrY]lfeJELXHdTcutT]yxYsE\\KiTPjtVHdtvEMs=PHaqDtoDDL@eKTYTGdSbeKpLmy=JldmudqXeTlxtPPl==XOqR]QyqpQDYWemM;XLLdTfLKCUrgxl>evmAOVhX<pS<Pl^=Nclm<Ek;qRqTo;`RT\\mRdLJAsI@mnYVr@V[TL^eONqTfQUODs[ml>iM;IPA]NkAshmJ:EqA=s:Xw>UJ@muWqlWTKK`Y_iO_yQcEM;]VoQT=lV_mVJ=mcHUblXoxj:QtsVyvwtbir[vhGOwnol>ojHQjJwgQfr_O[j@wEnxyXbcOr<hqMVZWfkSN`GOZHHoKht?navV^sFsSI]:h^U>fF`dc_jLHdah\\\\XrtgbRq_mohPGe]ggXN`ugxoPmBooghfjFc<gwE>xOPrIgrR_^fG[aOn:`s:g`qef?xDMsceg>ecl;TSEDXEGJQINARecTOOSKkDXWcs;f>ECXICR[sCigwIyL?rN]bd;SSMIAQUUEYnqi:McT?HukxXQE_]iwsRu?SWcbeksnmbEyg:GVJEwUYTvmyv?Fa;fvKd@ET<ShFOwx;wQ=hU]xR?i`WIyGiq?xGOFLCc[GT>Sc\\QVsqwIqfKCysuICebN=Xo;V_GbXIB^cCu]VJ_iJgE=Wge;Wf_tM;s;uBdIbrICVKcKaWLqcHaXj?HEMxtchrIe;SEd?YVqc<KmlHOUQxqTMMTuHyuKmR\\lLM]LTdWDXvOPSZxkIYKDmsUUOdeRCUkRHP_ElxAntMqYUth<VihWfHN<Hm_YQP@S]<Whio`ykHEkEDSETsVdKTPSdDkb>euIZYaeAif>IiLnchAwkP^uxZH`bh_[rWo?hfFNsCwnZ>[uihn>duxh?_gVPj>IkOOlCF]lQqfHd=pnKGi_xh[odL^bfVpnO[WH^L^nfodvNffNwcQ\\Rpp\\f`=WgDPhF`c^@jZAiQ^n__vnGqhYnWXwpoxqIiBWvPvlV_ri_]Kac?Pn[^f<?tuPoCY]Jf]C^ZW^q;_nEa]opk@Gc\\fp`Wx\\wn_^fn?^jNooh]Ngl[?q]Nfo^cqVgoPsIXe\\y`=gdVGgphbQycEQ_RXauPcBi_RhiDgum>pa@p`yjBV]gqpDArBN]uF[`@ZtIqfa[Syhg>f<Aj:afxNpI`_UnaOHwPwekhuSYcNPZUY[s_\\lYoCFfM>m\\Qk@O\\f`[xIgChnO_kCivOxx;hoDVlIGmgq`R@w`XeiowXObbankoi;fmNh\\lFZAAmLWeIP_gyxKVooN_YiySgjUYkcwjcYuSQd@GeFPdshlC?tQq\\ufqEoZkxv;_bbfgy_asPm\\Xkd>u^orAWxNFv[V[EPpmOb[?r;>qfNfBVhShpbia\\xxJFqR@^=_gjIslF^Th\\XdRYW`ScOSirmuBOd@_gKELK<TodVhTYShkSYpKXUFqkb\\sK\\sdeWHAOLijZ]Od=OExKy<sXuydayxMw``jF`s^Lo`lslTw@pQGTqi\\oflrtmTiqqc<sRqnFeJ;iOA@WLPQ\\Ev_\\jJ`UZXSM<Nm=q;Er]DSx]s]QYiLYIxvjPrVhXFEPEhN@DOWarJapKeRsLJShN;\\VmpRLLlrTpZDxOpnJxvkXLXaYFpWXEXq=RD=Q@aVvQWhxT=hl[<OA@TwywSeJDdx=qoLTu\\Dre]LGmXHDqkplAITJepGeWo<WttmADLsTPD]w=Tn<ajrxs[iTfusCTkgHsOeX\\`p_]m=\\S@PxVHnFXqFxl`Hq_YS^ewkpPgiLPlqBUVmexw\\OfaNOTJ^`uvErNPLCMTKMN`]NkyJX=nRplwqk>MuUUSk=ncmoO<MsESelKd<s`unLPsEdW`=jrUy@XpDUqGUtLTnoaq[LQqqPNXnqToCiLuTUqPRcXY@Tw]hl:YWsIOKEwuMsr\\UXAldqXN\\oeLLcdQJeLJ@rMxP^dq[qq>drF\\UAuuEYqKHqshPL<K\\Tyu@mZAMCEXiMm^PPa@qNYqDMOsMj<Dx`poDQJf@RQYpSAX\\AQ_uTpQl@MTZ@U^QvDyNELmdXlkDOoPJ:L\\eVoaHeSAtunkuxjUg`^hlFNpuxmAW]_GlcNaZN_FGlOIjSA_OVnS_lHI_KAqZv`>ya;HsOQ\\D_l@aj?_mSof:>b@Y`a^kyXr^qf>av]@glp\\lA]^Yb<gdNAtDPj;WyDPlBFn>NjHnogooZ_qqXcepfIvg\\njPo]JyihXvti]AIjQY_tYwfQjOiuENangrcnoe?uvIZH@apipM_sk^i>yrDniJygmhu[ioTgw`gqD?\\_HkIagq@qmGeL@\\fXkT^^^^^Hw_[>ecNd]nkoy_Kgarfrn_s^W\\TauVIcJHiNfZJxbE?kFV_]fe<AoFGl<OpjVkFXvKXfkPor`eAyefydSWkQHc]gkZgduFodor[QsB`mjPvHadmOof?ZjInLogparhqoyPwUYpUfZhHyk^s;Pxif^YHf<pqe`_EIfcQlqhjR@kShjOP_g_o\\Qh_Hdr_\\^wx^fvePhVO\\B?rGAy=vtJH]baroquQxmgI\\wnrcF^sahOP^_a_jArg``OH`<qjc?\\vnoNfl?GoUQiNodeI^S@p@QaAahIqvlnl\\X^s@[n`vfI\\UOkDPkMppeXra_FiXM?yHotnaCHuRMmvc]RyEgUwW:WBfAR?esD?x_mG:wX_QDMAE=MSE;dHuX<GR^ESF;t@SX^CesYUVif>CH^oS@uUHsw\\Cg=KhmAwFey[_gGwGSsdt=wNKv]iF`WEI?YJCf:?iDUtkQHIUhXgIDqTGcIrYRlsI`kvLEHhYyNwDOAYs[i:YfPaedid_oHnWiYyXGoYFKTQahXuVC]VBaGbcv@EXvmdJSgH?RyYGnoHV;weCDjIxRGDMaFJAgdCUW=tMYF<WhVgeK;U<GDpAS?oRRCC_MUkWtjoUKVhpSPp@q=td_?@:Pf^jmBmpmEpSSW?IWgNSP^_ttjdBPJCLLUuK\\iLJaU\\MTulNKQMdXwoLu:YVqTtBaV\\eKkyrgAKuTwNMYo\\KkyY:LSa@W\\pt;DRBaTfMv>ESvXVKTQdDq[@WMPmJ\\UFhxmLysIllqnqpR?iNXERmQV<yPDTuqIjSMNsMJO]vgpvJHNExtDek=YOjDX;gi<xuLHclWsOFqlX`jhfJPa:HrCGnTGhXAjxo`n>^JfhR^gYhgOggkWophvYac@y^mX_<FnXPtjGi_wc\\WdQfeuo^Bpk\\allFjSpvs_]wojm>c\\Itc`ZRftDAeWxsbf_hogRqbXId@Y_NOd]__tyu^HyFwkb_p<qf_OjVfiVy\\lvrvv`PNt^xmhfkCQfoGlKhu_Nv_^kXFgYFaD^jLOrhvboPeUYv_fqmHeX>i^hkSo]s>\\i@m<ij;@dNg\\cpdxFwd?_o>^dOi]fid>ifYk`oegF]nqeM>eJAhWOgT@apVq;ioRits`[@IrjnatF`mFeKGgffeZ^tDgvEVt^>cHArDImEOu_oiNWkMqljhbMNsP>wsWgE`i^?auHiaGsYyss?]ef_uHraNslVonn_H@gBX[nNlBab_?gkIp:oca`k_aol_ew`sDplJa^fFbS_ZEpv<@boW_rAmJQ_b`_GVb:>goFliFpWqd>Q[COaYW^j@mO`baAltIqhApKPdQW\\G>wOWk\\Ol\\ctsb\\]vVAfcaWQuxsKYLob[YFTkXXQBLSSn;rmoy;kihYxcuscIyr]g]qSXgBPCSaGmGUQUEyjdwnpJ_evjPO>qxMXl<`N:xrvhp_qy[iRseKu`PDLT?QR@Dq>`mY=xillQEMftPTMjHty[qnbyUvPmbYwixKU`PUqnNhofTvLQlexXnIWeUkjTscPNEmqjEtSUlRyobTjMXyRlMxiw:pyCToGLndQx^ex?IMy]WfxMBMxnqK?uLZqSm\\NKmOHAuv\\T`<wvqL>`RMIm?xrS`vR`Q^xvaqSNLTy@l]qo_es]Qu;MpD]sgiLrtmkIyA\\vMHjItKx`UBMukEXypvtqpVEsduTHapMOg`FnLN]<Xk_@tX``=IaOfcV_nr>gPXnlobmVd=IuCA`c_]UwkNouwd[SjS_`<icIJBHRHSpIi>IuEutTEheGyH?f=_yGKFB[bY[HJACjOftUC\\QsROb`cDKyvYmyKcGUyujodsghJkDUUWQmhDGyNkSSSwRabxWRrCFlSYd=C\\Oh]iHe_cd_IKCxuksYeSkMX`sgckt`ouvibd]rt_b>_r>QvBkCbsiKmRAgdwsuUKekCYU;uXQwdquxme>cremSPEcKkd^=v]MC<OBggTG?CZuVgeH_EfE]u_gcvoWkcB^KTcYhZGbJQb@[FD;GocX]IneeLdaxTeKOhYr\\o_qW_hQ>pPI\\uttu=ESYeSW=LDPK`Tk:do`IlriUwmOJ\\W;MLOUY[qprHJCIJddk<]kCUtYLVT=ykUj=Lwe]umumJYRHAxqlm_uo]aQthr^hLXDu`ikXmty`wy=JeDLV<m:dSPQu\\hmo<mrTkixLuDRsuKSHxJ]RGqtBPOF`jgxWxuj@PNn\\l@\\KvixfQpnTUOaNGXqPducmWgPVUyjp`PIQTdIu;yY:LsZIt?dP=dLbylLUwEMn@QW_upJEJnpV;myJquc<oE@JGPlfmNoDQd]t>\\SB\\qkhqAePUis@TlQxJtXWeasGaYkmkL@QrHwrHyPAW\\<nEar;htDml_=o\\UODYwgmSYtL\\lughT^MRS`WZqrqelvApODV[hNctRnTOTUJ<MoeeOApvnIoddth=u=up]=PGhXFhUmesr`KM]OidOK@QgepMlooIvPpY<lsYh_ra\\DQwv?iuOagOgm`ponmfy\\p>ouQhmXsB_liP^:hlEq[mhu_frCwkXgl:@sEajA@`qa[gX^VIcoVuTWsLVuAa_pOsehv:Qtrvk=PsdY[kPnQieS^_lfegFrFyuUioeIuBHrDV^N?kD_o^gfcG[v^mdnld@ouv[TVg[xpOH_Y_sqQ];hp^w\\FPaM^_?@duv`DffchmNP`<HesVfjXd;GcJhcRIkU_^hOhMf]nGmip^s^[^P[Cp[OGl^a`Fxf\\y_wFr`yofQywoydnu@Iggy^yPpKxnJouVgcKvl>hg>W^Nhrbhl_oaeAdqNpxqxHI[l@xWGct^^c`ZDA\\MYlAVvPg\\ZFtcnqAarNgkLgsvOtDHt;pahP`PY]MiZt?m>QacaqoNvpHlOOw\\wbEifgVlcaewodpNdfh_NfyjQcRXwS@[l>e>>bQ^^qIuG_vPsf_vvaGuurnECVmXL_GXmcnWhUEXUieFWDC]rbCd]wcMoEkcWTaVYOxgwBOAtrOwXSRGcgReXEYG^SH`miB?DamEFGuAwhL]SpYRp]dPYedovq;GGMe]gv<utZkhq?WYSxMAwOuV:]uaabTOvfStZER^;G]EsJ[gWqH[IXRGwVIxgkwvqwQsW^kghSGKOXROE:eV>USXMhlcttCsumXjeBikgymw_oYRWxPutPMV@oxIes<aVT;b]_HHeVQqD]Kc\\_h:QRHiVSoTc;XpgR^IEloHYKhf_VDkS[UBkEFc_g?eF`[VKsTfQRi;RQMxaSSQQscGY]aIrUiu]yt_X?_b=awDUIWwEmQC=eeHkRqatAyGQGU?GdlmByWismFdSXPSDdUUe?dNkElEEXcEB?XlkCasB?;WbIxWSTicf_yI:UIAwRJgfIUXEoXxsvcYsHoH\\IyfwYoswRkfMYEJSR^=W;eFh_yFWGFgx^SsagTiiW;]Wd]rrCT:CRc_vUoeKiYX]dTKEe;HZETTYweGEwMgdehUkxJiwR[W=eE]utvUDHSvnSsEUS>kSues>WWW=i_wiZWtAUWtse<EUWwCIuSagSgmdpormgu<qFOuUhmTsCgLiT^;dLIiqaWqFcI<:ZU]U=ZI<BMgV@Wc_;isYUugXwSIk;U[]bdCTCgdF_CgCfaWT?QTOcTAIV]ecnOgo=G[IxwaGTWcStrMDLH]WTuyXQVlMUKIJGIQSptGAp=\\ofXPD]V>yNJ\\OqUj>Awq`kv]QDYMKlL[LNy<jj\\w]eYxhwLXsX]Un]U`MMEEq]Ipq`Qu`Xs`qvHqFLJh@s><NXEtkyxb]wwiVbtuhqkTMtRXXQxPELpnLX=QlRdRs<NX]x]eqbitT=NruMWTX]=vnLMihPCpWfLyyxQnel_MOqpKVaRhXK[`MLDqQ@LBQoGDndILNqnDUoqTWWiRCyMIprCalstRSpKsYM=DXIDsQTO<ER<EJ`<m?puK@jhuPPuTrYuE\\k?hYIYwm\\RCuWfITWMLumnEmKM\\o<huW=ye<sv\\TmUmdTqT<P?XpQ<ybqnDLxrFrXn_egpLPc?h^`nZx>cY_s:Nh[fiLYZ<^dGFk_Yjk`xMydyAZrXg<qfQhhoH^Hhpjp`lWa`gejXmA?y^psDyohnfca<Cdeog]ughwD=ewb?R`cWZMGgSWBevJwBamXOQsEox;GCsYv[guHmoyTyxqrGAPsxvCYU]mMUDwZTx]lJUQXL@K`eXUqvS\\rbmSsERkMmBMosiWE]Uh@prySbtsj`QnTUcmo=AsihRW\\N?DYZln:YJKTjaikDXlp`xNURGMWFex`QxrLUjhsO=nW`ueTstyTVHuOdY;\\mdUjXYt=hNExU:QOUtvEqohYLeDWEeoxqVjms>dPnej^djKik>Yy]PR^lrbdS@yVp\\UatRViUpulZHLVIU;]lldUuTSeALFxnqawvTW[MpnDnIQQqdsLtJv`TbXKclxrAOHawVERsEjbmVpiXBhjODqMlwGMRH]kNHls<ks@ncdoHAOmeKpeOtPYLQjnPybqy\\mNkdofdQeyPeQkJ\\OZTyftu]ITIyTdIU;twkPYDDpxQpDQN]@vldTGLNclYFyxCHvN=J\\TxQXrBAlGiaIXy<a]SiwpyeHWpUh`eO`?Yhnnp`W]OhpkFxuwjo`fx?d:hsi?caAvEgrfIhEg]yPtX>s\\o^sIkLpsNw_T^_;YvlNxb`kDG]bWyCfa^avrvpnPgwWwu>e[agopmChc_W]KFd`xm@a`YFfeGjOGhC`nDNgopvmVfWG[_qspYaVnlqv`VGj[QjsXaNatlQf\\f\\[nc`a_Nf`?@k<nZbgaE_wQYp^WxppdrXwmHfhNiLygwVvP@`ih[khk[_frGjP?myOhjfrRon[A[o^txypGhjg^o`ol\\y_w^g_nc;flCx[aN^ZqjZ^jvi_:?buvdQOvUxtdFoYXo@gq]oy\\Au^^tpihHxeXOafiuxOy:isRN`\\fwY>laFlR_oIgvBwe]A_RHuLhoJ?gHh`>axx_Z]YxIHtMH`Fp]]Gp_ofoibux`ManEH`oAa`YecfdSay?ahcV[a^Zl_s:_\\BN]^HhOnni`gkqxcpt@v``i\\gpaS?lFan?Nv;Wo=Pd:V]uAcZxuV?tb`pt_p@^regt@yrRqiPHaRaxupou`b\\f`OY`>Fk@GvqVd=^aXneQaeyNeOOug^kMhnKpelQiKgv^AhAqdl?\\?P\\^OnJ_k_Hc:x_Afn_Wyx@coaw@p]xgqT`eoOwWGs^vtL>slYeuVcU^cj`cg?\\_PoV_o\\OvsV[lofDfvRVySYqFg_q`tgvwMF^`og[F`d^ndGn^GZRG^nO\\ohfknllIu:?nO>ZIX;mXKIB=oWSehNiUumVoogN[deyBIIfjAuhUb>KuQWSFAetGX:WgfKU`cfY=ybUIxchu;cFad??CNogECUOaFlOHgweJOH>[gyqvsYGVgw_Ud;aSDqeTGc\\MdA_hK]RnAdnqBdwhqGYq?y^wXGCUPgR]=HtKToyxR[g[_ITAFqqxJMcKed>KWEugD]IF_VHAbETJOdPOlmTXreTtCUmxiR=eRWuW]MleEMqXUGQQcxV`QxGaYUavVYWNQ`o`cUvdDFaGvoVvh[olgNpWic:f]W@tw^`;PfkVZs^daP^BYaMHqSGcQqftqkDVb@haGxo[PxUXsmHeF?gTnr:?fo?g>Q_e^]i_]VPexPwrAxrFiQ@^Yx_vOnjYf>x[BQhR@n`_neyb>F`m?yRP`NYiH?omoi:Ht`PaRg_pw[]OiCxxknaGpengZ@aiGOodfsl^[Pnb<@`Op[;YuhW\\WnjSxsXnu]qsgqilqb\\QwkX\\cfjbPZN_boxvaF_MWqMxqa_ZPOx]Qy`yecyjsfgoog^vfb_yNq_G_n<VaBOvOghh?`\\X_B?[fnvWglbwt=^fTgbYX^cWx\\NsB_n\\a\\qN\\PNlBQePOf;g\\l_RcY:ieCmXhOu`mtuyVlWWI?ioguhUrAitFUrX[d?OgwcBOETGgrHoTAKSUkxokW;qWUYxpCUgQfXGBKSxuIVE=HUWs;WG>QfNIfo]TJMxkoXckdIqt=AVlgGIgI\\WykMCSaY=YX^?s@ec_wH<OFMQT@?s<mDNKS;wD[qfOEXdyeF_iwkHQSrREdfYsAQc`[G_Sg^[CD;b<CxxCwaeBpOuCYdb[uSuvEqhWiXYgyoGg<oVwcEbEb?sed_WcAgMKWheSNIEKCEmOCpAsnUF\\]g`qhAWY@?fKgvw_D^Kh@aF@as^cR_[C][yZgSmwxe=gukU`=CjCICQHPUwoecaUF^mWL=Y^krHEXTQbFqhkCEWUs>[v:ibTcdtKSj;HxqUgquteUgsVkChcgXvcRW?SZEGVSR]CXGmrK;v:DoHxTMQWxUxcXuQXO=AYbAwHHRUMpHpQXilbNgZwjmHtqgvRF]C`pkooo_rlavPhav``VWsVpj@npavbNVkW>sFWnBnsSNjBVtQQfupk<orQI\\HV\\Aviqvenxkd>nu^aGhheWh_ayII]\\xpGhdg@rqiv>gfFPpmAddV]xXwIvgvvpiWiuOZYOsPankIZ>OdAYsEQon^kBOlxPwkhZ:``y^f;qieixBHxAGudoxeaH=v>Sg_UXdyDygRSmB=IUoKbjKUXWR=]gduHS?TkewMuV<uE_[IsotjwVZccKoY`;H[yGDMX:;CRaTN;FukBxaeWMHo[Whgc\\qST_HfsHlihmCEBsgjKDR]bNeR;CtYSSncREIiVCi<Sxi[GhqUDWbP_IpaSLmrwAYN?RvKW<ExqeFQofvay:?r;OrNyedUscQwbuFXmT?ORiyG[KtpIcg_t@EffihXmTH]te[C@?wH?T;]cFaF\\aRa;FmMY=ORfcSEAT@CgRquZ_y?Ewb_ixSdwmvxeup_xrcxDSeh?uCWFPUS]qGJ?WBiEEGV@AUxmv=OXxGDtmB;;GyUwIggZqvViHl]W=yrQ_FnuxbSc^Mr:wfQ_teesUUsYqGlEduevcqvQmuggyTyYp::::1:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlK0JGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQhekYqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6579" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8" family="Arial">G\303\274nter Edenharter</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6570" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8" family="Arial">\302\251 </Font><Font family="Arial">edenharter research</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8277" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font family="Arial">Educational revision 2020/03/15</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8278" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L6566" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" family="Arial" layout="Heading 2"><Font family="Arial">Background</Font></Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">The classical <Font bold="true">SIR</Font> model assumes that a population can be divided into three distinct compartments (see e.g. Bloomfiled[2009, pp 149]): <Font bold="true">S</Font> is the proportion of susceptibles, <Font bold="true">I</Font><Font italic="true"> </Font>is the proportion of infected persons and <Font bold="true">R</Font><Font italic="true"> </Font>is the proportion of persons that have recovered from infection and are now immune against the disease. This model was originally developed in 1927 by Kermack and McKendrik.</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L34" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L23" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Image height="57" width="255" zoomable="false" labelreference="L33" drawcaption="false" captionalignment="0" captionposition="1">yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:^FxYqo[;_fiOf_CS;P:FZyYUCn:@j:@:::::::DJ;DJ;:VZ=VZ=:FZ;FZ;Z<FZ;NZ<R:?b:AZ=:::::::ZyAR]B<`]yYZ;F<?R>=r:]R:yIkXd;FZ:VZ;R:=B:;J::KR;IR<Gb<?r:=R:V:FZ:>:;:FZ<vZBnZ?F[>><PJ<FZ?^[AnZAF:>Z<VZ>fZ@R:IB<]b>aB?iD@=CoeRogbOge_gw_kS<cVgGgoirWkUFGxGiGLKVJ?CCiHpmSPOR>Dj:HJ<@J;Hj=Hj<J:b:=R>Ab;_B;Er;]SBaRJ?C<]TV=xBaC?icfcEg=Ub_sVeuyoP@Hj:NZKVZK>ZyrxkIbcb;_GYUHPWEFOYfOVLgVfcVXUIh;UE=X`_YXeRTeeJ=U[gRXEEeYeQOYaoTRkVJ=G@SEFGrwptwXqQdPd\\KQAWGxiQqmWvxUP[kiuD?rWNnovYYGIqsugS?AihglpAkQqyv@xiaQRytHDWRYJnpryhxaujwqv<]QqQS:UPFHMUxKEiML=p?QPxhpLtqixVtUK]`JdqolqwqPN`DqdqoBPuVAW_PvX`KGHPAHMBAJsdJPDnYojqipbp`OCbcb:;FNaB;AxVecfArCme[QhVIdZCU^EiZYEXWevwcXygbQ[kV\\MY]\\VsJ>_ZYZgniKobFhaYYuL?pIf`UywLOqRYyCNlxqvLApAvgwPceYffq^EWyUPc:i]xhxefoI@pSx_higebWqIoWggwcjCuimGgSw:qxruWgiHqYgDET<;vMsyIISVEcTCVUwfLUh`mirqd^oRh;exQEoUUhsgiEUD?r?=b`qr\\INgYyXqT_<VNdWJ=O?@JZ\\l>tn\\hUGAvC<SYPvIEyq<NypRX`URqmJEyQ@LO\\Xalx_yNqDq^DwBMNdItc@WEULF`M[mNR@Ts]Q<En@pxwdVZ=mxuut;::FQ@jgyXcZL<::TMIDMgmoB\\SlIp>Ip>YWDEQChwdhm@yu^ar?YN=LXmTtJdNAUsxukoHNylpdQpgAsk`quPxr<uqhpiDrR=LJep:=NNPj:HJkmvqtrmisEXumtNj<oVasPEUxupg@QS]vSmK>Mv<`T<mW_hN\\XM<iL<LS?LJ^tlWXKr\\wu>ikIvdwmSfZgFuYyetak=qqfInX_^_@^HnstyYchSurwEe<]YCMKuXqeuyK=mqiUNXo>aL^HjSuuYQyFXrx`W[lu^dNZTl^UxWXVrqkTIwIALj<Unyo<iU[\\qc`VVHVLHQ[qo=dkK\\XY<KreMDpqS@TtIvVutsPs`IyKMXrQx?hrk=jXep:=>;BbASiQeyUSuIysarWaWLQG@aIB]wD;CDE:sWa]Y^SgAGfsYGd[FOyFFQb>KG??BZdJ;hmcyidykoIkUxipOgAOvEN\\b<]rpyxkSuCcypCcw[idyF>kT_;DbcZH@xA^rx^vtgfFhiAPa^HiJ@eOHbEigsIyOPnNI_`Pa;AuYQ\\wxvwPkDIoLx_EXv@ifAypa`bRavfinGhmMGjbXeXfmV_eYg]JG_cN]NFofI^?H``P]kG^k`ihAxdqoSHqRa]hWx`nvqnxr`o=OfLypqn[jXtfVoH>xj`sDPoDXsh^wXQmPh\\TWgaxmuYjwh_owpcNp>AyxNaiI`TPxEf[e_gGX_D^omig_fnOguTXvePbUgboQtLaskxnQwoLic`Xuvfwenm=qxYocYi`@AxpqZqoP_ugIsfkVSOdasF?GWBMVaqs^KB>QgOMfBacMcdTIUO?sMqMMDsidm?XwamXPyK;PVuiKiHN@\\vpHqI\\UW]XeATctKdEL\\iVXiTo]rF]s<URTeuXQPgLq^MYwiTRimEtLlYQHUptlRiAxYpplpkqhNXhwWulcAkp@lPaxF]ofTpDeUcuUBiVG<TnQwnHYu@Si]PvQUcyTqimv]pdEOx<VPdNJ=O?HJIXKm@TWmS\\YJU@yXUtqlNpATFilc`JdUrLetdHT]TxspQ@eUSisdiTZ`q\\lKJ\\oSmJJ<V=YYBPjo@JB=tKpErsZR:HqyovoGpSw^O_plyiTH`dnn>XhBXwfI[=Fgiik_fapFjvNj^osBYv]WmIA`lhsR>lgP`:iqiqy;oeQyy:N[Tiye>kjGuIIfgG`Hiihw`SNiOqxbobNPgUQphapbGxma_Qgw=pcqoseosowxTwgl^kkgoih_\\oxWqdh_^tNt_av@OoGQ^xodThiMPwggeXVsM`]mIorw^j^fM>tcFmIAvCye^xboHngFpvxt=ndh@^\\?c:HnF^p_Xh^wZvqpwhw@qqQnfj_]pg_XPxRxxMv[VnhMihcngSfpn^_<wsexcShxlQiX>oBIyvvqh@qFxlS`lhWds_pExl_v\\DWsE_`t__rwkIgZQoeN>u>whMpqlf`=@tVitoQ\\DVl`IZ\\gd<>jJO[;>bAOiygyKoykX`iowGAcvIb\\gdAnsFvtroi^Gaiov?fmnWyQgejYbS>];ab?Xgjvnkhn_FZ>Ohx>_sQcGGhtwqApkLow_N\\L^wJnlRPj>@ei_uohw>ieAproymH?xWFd?qxHvgi_ltXubypI^wVGk_XsX`v>Q_vGlCVcmOenhsyWuBHiHwtia[IHqsnin@rhFxPVlZwtSvakOg\\opgXykO`IIyMx_UGlDO_>yrtIyapiXwaj^wiQmpv]jFwh@u]AuvWerNvpvlQXmBIpjal<nahabgGwGHlcIpGA\\WymLIu>ydKp^RGl\\gb?fnLWmPH\\LFc:x[uNvuxgbHxvWhKVvuy\\=fuhy_]a]?`rIogwia>YmBpwFXp[x^IgvlPalVseNd[Om`^huquQpwFXqbfssnak`wGolUygPHhphuwiswhiqXkIggWF]o_uGxeRpoHhkBVsRglP?kOQuTvvM>oBgwiYvpX\\tigLXirgdI?kfNcZ<\\q;DxIDqXDM]um[qSclM^mL_VvQ_sMhvcHlpXf`VvGPnPag\\xkP^g@X_cObJqu]OqAp\\@ylnIdqybq>y\\apIgwC^mN?pBQuQQadP^qIaT^lHH[NtbCXLCUvacbouVmGXsuEEfq=U@GWkiGpgexAyHKU[IULkwdWEsesgev[gglOgqWVeUe_mTREWims]sgXas`WXxUi]ueZ_u<IxssRYeWKif_cDhgWqWgPeFh[vnWerachoybESkKuOeVOmIiyrlyesYbfaRiIFlotFoWVgE[mvpuBGqCH=g`]ScWuU]CtKHxoXm_ET_FBYF]KijEwLofAQRVYeVSe:CtSAgE=Y>iDF;DFyuOkghqf=?YvurcIUWuwxUv\\YiEOSgif_UeAGIdileaLs@lhTlhivuPlHuoopJ^\\sAyRcqk`mSs`YMYyNiu_xppDqhQsUQpYupDPq`qUC`fgotNYs]frEyhgOb]^^LodmX\\wFthHft>tHXxAgrhhlyGhYYs@OoMpVugfcf<eD^or@qhRmufICREIdsFemGMAf?eWRIwWiEWggL=wI=FaMRmku^[CFcrpaeMMByCG\\_DeIiLERhwiUAIEce@qsfWtSyI:[XayWwQSJyEreI:Synmvy;BwIsUuiL[xQkYI;TVAdsievsTqUDrkXQKd_?YIyq^]QPmS<tSqtxwMUSLYvqrIem\\mrDaU]mL=AK=awTHQ=hx?iVK=M;UmoHrBEsN`op<XVLWUUn]tloMJJhmxuTfTtoLRRMxSdKllltISUtog`kq\\XQaw?ulJ@rUqvlYJ>loYQy^AUdUNGXVl\\PVIy^tpvdJhuTZHncYkP@o_=ORPMiPuyo\\pYxmIkuHu^htFHiJ@E[VHirvMxytT`XunUoMtYlTnoyqxDmy<mrxinqgyxrrXhygtA@xQh^wqrMayUpbvIyVwiQqtcpyP?ntisLaqixhyAZfVxyxuq^xc`wtvZrYgXvYYxQOiVkYegdU?rHMxqmb@=HtWeToY\\ERLaQiakbtMq<OiQWpLlpeRgqO;<uouuFPsKDwfijvpvuULeuN=DTkDOvDV<iX;HTWAMH@PJ]uWTs@xthet@XLjqwwIy_ynxeWmxruUP:]qUtQxEycyY:TqFItxaWJ]mcHYBlry=JtEjUYqT@w]hViAoEdNXmTy\\uHMrvLO]iYFDg?ycOx\\^A``foSolIWahfbLP[jvpYH[WxkJIiPGlR@c<Gi<@[L@eZpaI@pcGe>akI?[e^fQQfq`]\\qZjWe\\Vo<igLqrf@eewxvvhh>xNYhQx\\CGeggiUVmhioqfms`mePx<o]P>nnnmYxYctYSGMqxxagNyC>klZ@YkysCXXXhvseSh]KEqumPNWXYBaR<pYnIKLqVmdmhiO[@kZ`nddKXDsa<LdavHUKPtNjxv@prVUqK\\UfxXyPKwEKxUyRtrxemkhWxYu?uog`rF=UIMVTqlHpuvirBImCV_JFtEFwWCRsYnStWSSlwyc_iQis<Ey`Efs?uGYru?xLex?gYvgcc?cR?UAEgSqdooFYMdOsy\\cTF[ssuInGXxEU\\Qd[?iKCc=Ehm_s`CX^ohKaIEYVGUd=;UaagvuVhGcCagU;dKUfPef_egmgeh_hEiuC?W?QExYTdCYqWUfStVkFrWedeUuqyLSYu_fpqxLid@SHQ[wy;rEufOESoaTkUW=GgiAy@YRtUcwqFMIHD;ivQCEuY`?uvEXyqXqqueoepyt`iunIYwUvHEvKIuy;R_UYTOgaoxaSTGGxCeU^qxqI`nMu=YOycRCJ:IJYZwcHCWXRJQXYSHnuY[kHE;xmmFfGEvCYiQuVQuZiCJYv[GXNyc\\ccswX[mXv;iMOskwRaEHZ=WXOyaSFhoiPes_uoKDSS`YB=qhqytdWVTsMxRhYVslqmPP`awxHwihrUeki]UPev>UtXhvE\\pRaJDDwnQxOIKOqn:`wxQNGUpfpLPysCdvumwDhywPngqvGinsdwlXOVeyMiWheoOmNhesoYNrMSFIw=TybyNEmoq<oMIOPAXVhVspw<_mHhjM_eIx^EWdTnu>fsHXgJXavN\\VqukpvD?wcHu[IsrXkePhT?vsorL`mlPsg>`>>iHwrnXa]HiRa]XwtSVvpV]xw^KFunh`whpcpjeP_l`nmPbU?eNodgo`LQu>YcF_pvPrDyvNimKFpeqgUwhPPhVqlaQmGyhCI_qghtg^b_oDywD^oqqeWGuQgeQAqGA`kX[CN\\jiu<go^vg<YaGy]PNqOskyUEobdYD`ER\\cd<=BJKS;=RAQyQ]yUYuIks`ug`UDPIX`ER\\md:yUpuHUIx`Mu[yFvGfNocKwV@CCQ?Hr;IU]TlQsJ[HOIdA]diiSp_SsUfmMwlSsL[dZGhPCi<?y;qbPgYikypeXrmt_YSZCeG_gUWBEYxBEUQgdESgh_drOTGgT@GUYoRTQIs]YpWY=?hwgsFqE?KhCoYvieqqHGmHTITeiwPQfKEEXKFo]wQgvTyRROIvwUAMvTgYC?VRKVBWvsCTFqX@]dwArAgH>;IvcC;wVX;yh?FoMH>[RbITE;DhKFCifUsrHeFymcGAtiQXHUioIdlEDhCyGieSAijCddOE`KVx?USGwBaxr_SYSrNmrr[GqaUTQVvabWkUqeFdigUWEGaStMV`mi`=cRIuoSHEqbOwW>KILYyCsESQu;=WhQgtCS?ICm?BkOW;;Bbc:cyydyKqYkTpiqWGASvER\\eT>hTI\\PixJ]ioe<suUKVtTtlmTISbtuU\\vcamYXUO]R:`r:lvmxtWipRln^TsLEm[yrBqVhip@<up@qrQUviW=]vliyaTLm=uhXTixpEhPHtj^AsPevKQNgiw=QRdEYsIUwqRgLLxpjgDvtUjN<VuUkuIUUplWmsAuqEUKpQm\\iST`UUPXTMtgTrAIWgPOmusYaPvMRntm@XvgXpUlWFErNIWYLO^]rhAw_dK>xqqDy>lvMMx@QjW\\Rptm;Hu=]mXqVBYrJtwoyto\\U=TXrLXrQjQYLgasYxl:qPWyXBqoPuvA\\p^UMIqpUuUSESsySYpuYdlWioAIStqYXdYFAyhxm>=yHirWmXqQmUUQSqJoeUi]NVyuU]pVajA`YytWOIUKpwImvxynGYvJmPeTUU@tHpUxUQ[yq`DuaxP?`trQj>MO?BDKrulq[tx]TTfXVfIQOYnFQZN;^`vOecydqi]vapdGox>fPf^J?_?>:LjY<RL@WUmkYUuluM^\\kfqrbXSb]kZtNQ]vGlRV<U]IW<TNDPJ?ajB<R>huEquPiQgPY@aQBQoy=J>]sy=ja]tulTpqsxUORYJkUlYHYoqkoimMxQc<u=DH:::j>Tor<ljtQhqpmhkGhw[<wCHns]Md`rLavG\\rc\\ReMkellM`rFXVf@tF<Pi@XR]ur@XyxKSySFPjUMO?@:ER:WbTsfeWCkAGT_RIMH@mRomrgmXeMTTufQqr`cH@svRWF_ABjOTgCB`?CK=uBUR[QeVWEBwHqkepeIBer_?iCNW:I::::::ZC>faqrQguaqjb`frWgsocH?qCI[rnxa`ZH`^NxhQ`bINmj^tA`]:V]Bi]iHswhwxw\\oHwkiZk`dDF:`Ja`ON=qVLOiYOYljk=m\\tOMePbqTyTlDpMUTMfat[HqvpjNQJt\\rgutRHy^\\RqIq;EMu]u<EVuQUvMOJ=mxmRKpmrlxEuu=xmEDwI]qHlRK::::::jS<yPeN;EnMAWhtrFttgPS^APImKr=jMHmKMl`]VxEtlTO[iX^mnP]UMPSc=kOIXylP[ay[llWirD=PgLWJeLg<Tbdj:R=YBCgHAABFuuVaVL]GSuTsmYsKd_ocHSSBKT_UCO;C[?BH=Y:Kt:]Eq;Sgqg_iGuMGLGr>]gu_WWac=oiFwGyEGBWrkoWlcHmqCtOxx_I_;vHwrtIsN[suAwDYil_D:SyXSWaStjwG]YwiMCLIRdGvTGG>Ix]MYS[CeUEAWFL]D?KG_WVmCHd?bbObPsFkOFZ=B@;GjkxCIGG;t?aewwL:uPO=TbZCFyeidoOv>?xgA^u_rKybavlAi^Iq[hQ_MNoLfjhqgdgkTgqcwxD>n@xvd^droreNuPypbvdc@c@v`kpwl<:::::VI:r;_gZ;I=aC]wxkASZAElsYQ[ITYTUqr^=uC=FL[fd[sZcdCkG][DTmubSDMutusxrChGEgB=BhOUZ;DDEB:NZ:@dDJN:N;\\<ZDJN:N;xqyaG:::::::::3:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlXURGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiRxJkYqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L27" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"> <Font bold="true" family="Arial">Figure 1</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8279" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L124" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">The classic SIR</Font><Font family="Arial"> model can be described by <Font bold="true">three functions</Font>:</Font></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="ThreeDE" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="39.8%" captionalignment="0" showinput="true" captionposition="1" id="Table1" alignment="left" randomized="false" labelreference="L85" showgroup="true" order="row"><Table-Column weight="40" separator="true"></Table-Column><Table-Column weight="11" separator="true"></Table-Column><Table-Column weight="212" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L86" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L87" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">:</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L88" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">fraction of susceptibles</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L89" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L90" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">:</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L91" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of infected persons</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L92" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L93" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">:</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L94" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of recovered persons</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L28" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8281" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font bold="true" family="Arial">parameters</Font><Font family="Arial">:</Font></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="Parameters" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="33.231474407944994%" captionalignment="0" showinput="true" captionposition="1" id="Table2" alignment="left" randomized="false" labelreference="L113" showgroup="true" order="row"><Table-Column weight="24" separator="true"></Table-Column><Table-Column weight="29" separator="true"></Table-Column><Table-Column weight="22" separator="true"></Table-Column><Table-Column weight="16" separator="true"></Table-Column><Table-Column weight="344" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L114" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L115" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L116" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L117" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">:</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L118" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">infection (transmission) rate</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L119" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L120" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L121" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L122" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">:</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L123" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">removal rate</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8283" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8284" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8285" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">0</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8286" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8287" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">basic reproduction ratio (see below)</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8289" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L43" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">differential equations with two parameters</Font><Font family="Arial">:</Font></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L48" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" family="Arial" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L61" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L71" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="DiffEqns" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="54.7746371275783%" captionalignment="0" showinput="true" captionposition="1" id="Table3" alignment="left" randomized="false" labelreference="L138" showgroup="true" order="row"><Table-Column weight="61" separator="true"></Table-Column><Table-Column weight="101" separator="true"></Table-Column><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="198" separator="true"></Table-Column><Table-Column weight="306" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L139" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(1)</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L140" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiUtRjE2JlEjZHRGJ0Y0RjdGOkY3RkUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOS1GMTYjUSFGJ0Y3RkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiUtRjE2JlEjZHRGJ0Y0RjdGOkY3RkUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOS1GMTYjUSFGJ0Y3RkU=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L141" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L142" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8303" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L143" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(2)</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L144" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlEjZElGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYmLUYxNiZRInRGJ0Y0RjdGOkY0RjdGOkY3L0Y7USdub3JtYWxGJ0Y0RjdGOi1GIzYmLUYxNiZRI2R0RidGNEY3RjpGNEY3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOUY3RkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlEjZElGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYmLUYxNiZRInRGJ0Y0RjdGOkY0RjdGOkY3L0Y7USdub3JtYWxGJ0Y0RjdGOi1GIzYmLUYxNiZRI2R0RidGNEY3RjpGNEY3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOUY3RkU=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L145" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L146" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8304" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" bold="true" layout="Normal"><Font bold="true">(non-linear differential equation)</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L147" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(3)</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L148" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiYtRjE2JlEjZHRGJ0Y0RjdGOkY0RjdGOi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGUS8lKWJldmVsbGVkR0Y5RjdGRQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiYtRjE2JlEjZHRGJ0Y0RjdGOkY0RjdGOi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGUS8lKWJldmVsbGVkR0Y5RjdGRQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L149" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L150" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUScmc2RvdDtGJ0YyRjQvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZLLUYsNiZRIklGJy9GMFEldHJ1ZUYnRjIvRjVRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRlFGMkZTRjJGNEYyRjRGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUScmc2RvdDtGJ0YyRjQvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZLLUYsNiZRIklGJy9GMFEldHJ1ZUYnRjIvRjVRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRlFGMkZTRjJGNEYyRjRGMkY0</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8302" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L73" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">non-linear rate diagram</Font><Font family="Arial">:</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8297" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Image height="220" width="838" zoomable="false" labelreference="L11" drawcaption="false" captionalignment="0" captionposition="1">MFNWtKUb<ob<R=MDLCdNVZ@[VA[<J:hwcTluCB`N\\@Nd\\QgqxhXpshkeEsH<RjTLFIm\\`REmTn]oQevwepyhYyhwAhoTiYpYXp`VeTm\\@mmmJ=lxZmKJQWXIJbDs`=r:tvReJ=Tj;<kSXYuqxcqqWLP?QVkLL>DRJ\\J;=LLakfpW;@NBLjZ<K<@OW@NBLjZJDuNBLjZ<;PtCLjZ<K<RcJ<BKMI;=D>C:]<@>LC><LC><fNB;^BB;RNjZRNjZJD[JZ_<CZ>;CZ>;C:]<@>LC><fNB;fNB;^BB;RNjZJD[JJD[JZ_<CZ>;C:]<@>]<@>LC><fNB;^BB;^BB;RNjZJD[JZ_<CZ_<CZ>;C:]<@>LC><LC><fNB;^BB;RNjZ^j`NbHwp:?\\hn\\?QfKxclFmFOxr?hjamiFcXHyXygrfawfasFa;Y^Hav]o`UhgeWgeGgcGvuxrAyrAwbA?aAvg[AfhnZX@vuFh>vrsq_yQ[xVsM^windw`pdxqdPwiycX`sMQgW`_BNjZ>kLI[<ixZa`@FqNbc?v_eTpSdCGrI?EaGv]EH@sIhue_yH=wWsYXjai_kBCGtxqyxqr@qrXquX;eSIv[IFHmsaYxMWdMgIwcIvuXoeXoEYsEYauVAsUOitOiHRSBaAbqGv]SUUUUruXuUYUsuIwwfqwhqrugywiygiwgayMib<EbylYUhyWmy<Uyo`y[eTcxNIXxaUxATukmuhtY`tuoyJ?DRJ\\JKMQ;=qV=MuDo?MVvTTkLPauR:=m<Xj;tP\\Tn<Twt<kk]L=tJUQuTARQArw@x>tN=XoGqsHqof`oZiUJyOvmX\\MV<\\pF\\wGtw\\ANBtuUxPi=X<IxkIXYuUYlM;uttLQt<xa<xhqv`qvVauVQtLQLxqLx@LY\\rk]YphpohLiQvEytPqt:UyjqOBaMxqORqMyaPCxLW\\jKePIhULpm@\\nPqUPTO:IRvMSH\\Q;=L>ZG>nUasmO`IIvfina_gOw[<p];xgKpt:HdkYskQhqwhQ^lE^ueAxjA\\YFsaYx]Wf]?a[vlEIvW_]>YeEYsEAyfnsAfemagL`qJ@ne?t=v];yrqyxqIxa>iH>gVvi=nu?Fb>FmuWypiw\\Qv\\>a_nok_f^_ZAYe]?vCvaExbu>kY`jAOxKoeWFmYHxpNi`aacWxyxrhyn`flZ>[<@_W@^Vg]vV[[VgkNu>imDO\\oPoUyo@yvrHqCN^oxpqxZdgji?wfawfiwgiwbAwZq_anuWGeSGZiPZYQnaogZ?f:xu:or@yqEw\\Wncjx_ay`=PhkWxN`ZEAfa>jhHxmpyaIlGOvrniOqsHq[bX]HNvAHtM?cyy]Bv]x?]Bf^wviZQmrIfrivvi[;Vq__gYhisxxJOuYixHha;?\\>B_<KQ]raQlU]j;tUCmV@\\RaUJEAJjLOjPnGhkGhpohPJMQJum[Iv[Mqu`OrtKNQKiEt?prG=UuQLVHKlyJlhR`hVXYQ`dQjuYMtuCyW=Dx<YLlXOUaK_YqrMRIUmIpludXZdkmljDXNZIYeYweYSEUSZekrYnweYw=Q;Hxp=YCuOZTvjaO[TNZ]p;LWWtL>DRJ\\BPpZYlU\\QuUn=\\sRYMqIMCEkHXfEIZmOZuPrU_vXWauVaEV[E^uYaZsVgeWg]XqExu@ol@Ol>X^FAf_xpFvw<xsoyxqYjmixnaxZy_pghogvmIixItbnuAh]V^]>ImrQbv`fj^]HNlZGvUHxQorAyrki^rvZAIhTnIycuYGlgyMuyLoIv;XG]yfmuA[Yy;wWwuqgrC[yO=yM[idUfnEsWyv^ms>?FBKbZK;]rdQdkYX;Cs=cr;Sh;stSYc;kS@Kwm[Hn[B\\WVcYgFSW=@tjaVEA``^tWiuGNp?o[AxvFfu=f`^fnUn]Xnr]nq;hvE?x_AiCog>XlkIhvotD@mZaZUQt?Vi=yfkA[HojIXvZ>_QniOvqYqyn>eZvidVph>]gvji^rI`nEA\\Yhv?XvEiwWOxNitOidvg\\xOdxnZhPmxNrbFl^YgqAdcI\\<@^BNNB<ODXCRpuF:kumoixoClUhkGhkgiwgcquRAuRcQhdUc;kc?QSl]vL]KAyO[DWUDMSDJQPvpiNXDrG@wEUk\\iuLMqnaO:xkaHxaDXMeLn`odyw>ImrUKYeR<yVYArimV<\\OXtrAyrsqOwLjr]rupQMXjQ`k]ay[]Vb`qd=pt\\UElu<ToUTMUTrYXr?@xiXvVly@Lpt@NRqSJ\\J;=L_XL>XO<hL\\DPAQl?DpKXSkANrXshqwhhtAXVfEMr=MbILS`MHaPaIMX@ma\\kNyJAIR;DU^]jvxrLTSCEtvIs;Mn@MPjeOBuO_eps\\Y[]vlhQBqNsHvEMQbESf`o<]kaaunhJEUrihnipKvyksHLrqSmIvgywiYxWmtFEpwAWhuP]aMXUQRioIxpM\\J;=L>G;eRjqSiSw>AB@SB`OBHsrG;T@[sSWCDGbn=I<kd=KdQ=GNKQpMUFUMXMXm\\LIIRrAwwQN;XVV`UJmvQyL@YxO]Y]tLLyVydtMenZLKJym]YL]LnDEP[mM^iNREKL\\yH=LGaYxtqqxpAamS=ly\\yHMp=uU]@mVhLiexoix[qp>elNQK`UsluXRtW[aJvuni]U[<K<@NBPtCLruIKS]lbQTO`Qaay@tUX`sktTZeQ@tpTtR@mRR<PAlS=ioOmVs<lODvvUxaIjMaSGeS[aVtHrrXMEMX]YouHMAQpRXP]qUCYsCLqM]RaUoStJGXO\\PMOAvBeKg@PlxOlLjaAVZ=vf@n\\]qJlvXQU\\dj?mvKyKAAUtlnPQvviwgiw?ir?in_hN@Mu;hM\\qXkPskxwmDx[axhYVIyL>DRJd^BFoAVol?yfatTGsGFleVlU^\\VXpMAxO_kUVZ;GeXoeXQuTQaxna@Vc=YeZfaZGaZQarOrNFZvvZKIweYwU^]V^nIvkKQhx`bjxvUomVadwFrVihoPsc@y]nmFIi\\O]v?`:_vdnZAveHicUOyXaaOVf`h_X`xpqxhywiYv]AiCw]XVwp`oghok>qJp]uni>v`GH_kHd_pmYF]j_d]`]Fxn^pu]O_\\w^BNjbJTpKiiWW=Ln]UBPOWLUg@YitmiiwgIj]@jOiwhqwl`tBuTQuLXXPv`KNpkH=q<En:XvwiywAVo=VjllV<XHyOfhrw`Q=TooIldxrYYmLMWyDodEUZAjfLupPpaIrFeo:tj]MliDugft_xbM^rHQsW@ZpYofh[TVdh>];?]n@kGpsp^fuvnCaoZ>[<@?^_LhkDNjHTlgUOwwc?BtorgUTJeC`KfTmtdSwq]RkespkRRGx_;CGAsBACbkCm_ER]YhQiTgFv=sYcyEyIFaY;_u_mWgeW_EE^mtkkVckI`Is\\qckqyZahh?EVqW@IrG?EnmX`YxsMYiag<MXOqsMKXHIC<?>HlLiNYmmYlPAylZHXf=l?xRvtnUIsDdj:`iiFfandmw_OhnhnZHNeofu:yvNAcqntM@fpXnjY]PAi<niPyuYykUfja>qG@qmVj=DhqEsCHHwgf_gFysIYvC;wZku<SE@Yf?KwsIHlIUwoXEevkWD>CRN@NndJvxwg<NsmYqePlES``ckhpohptPqtppppZPwjMArm>ecYjXOqxpqxHv[Ifpfu<v\\;YsXquXo^>^bhWjl>kRYgBov[IsPFiRhhOV^Yi]TN]<ik<igv>ar>rgG]R>]:v^`qrnqv`qv\\_[loappnZglMnuFa^sq^Kot>q\\>FbNpcJNmHPtKHp?wfuIptAntVj_aphiwgIjFisIysiv_iVpIitKItKwdQw\\EwgjXkQ_\\iGq<xijF`\\>ojvdoxp>WbXIfEI_kysCGwfPelngH>eiVnbAmvVkU`quXquHpkHZdaqyxqy_iv_kIXjLIjUIplHpkhwZWnv>qYPxII[<@^DC<UT:Au:wcJWxoGY]?I?=BA=ECsR@ARAeEEyv<[cISuVau^wbC[dHGwH[sMaFdetHiIySv[ctVEidqbo]dB]foWU>qxl_SMCVWqIv_vXmHiaFSGhgQVmwyR]Tc_bV[Vl=C<?FBJ_`XKIUyamkmK`HRrqnOmvuUrMTOT\\WV=tBmRNEXBiJUEj;UntqrEtvILTCMjdXOPMvHYPy@OXQu`Dx_yJ;eutQytAU]pWauVApqImPShrc]X]Ij@UUDdO@XjSuL\\`X<@>n^_gh;v\\C`e[vu]Xn]Xr=Ybp_o<VlbIk;Axrn]^Fs=YcJn[pg`G`e;?fL`q^qceWrAvwQQqdWw<GlfNxaIsYVcnIvPPp`A`uWc:pukhw>vxxxdPodPn\\P>`:Gyvoij?hJ^gIvcfPmW@^BNJRAsu=GbvMbGISIkCHkhqwhQqtPqHpkH:qu:iG@qjkxKc<u=dMB=vP\\NY\\XZDU?]UuQo^DXfPs]TMcUtJYPp@OKMnSyujuSZhy_YxBtpSEX]EXMHRHHsaHxhlr<HpFxWYqq?YxhguuYyuaX_cIYh`eVDAYO[B;]<?C;uC@KT;Ssr_UR=U:Cbr\\YFlW[EXl]WD@rLYMxXu;Hy\\@qITSp=syPlFYrBpshaQplMmAKpYUMxWSeNQPo^@lKpXVyT_]UWlU\\qjm=WRpWFLSAXNVtlXquXmxOUPtAofyT;=L>Ewh\\W;uSTEsl@mMAoIXnDMXbMw\\el<tKV]XpXpPeThurIEj=iwhqwhxoiXtEur^QS`ARjdYOhT<HsU<R]<S]ayHPWltVp<ySdxj<qKivNQTktRWMpudoiLMQ\\W<qRaUx?]YRhM]<xrujghkUlR;Tr>QnjlQCMrLPW]ttadOs\\r@IOMuNOHSM@R?llUDWwhSpmNf]t\\tRG\\QvmY>to`]wlulwejCiToPWuAX[pWaunYAL^mJ\\]lbQxSuvQLvutX?dthLlPujyEwwxRvuLfIjxDn:mTw]YRxu=]KtDMRUkLaVYdoe`NsmQiDrMPoENlOWeu>yOw_S`aKgx@`^C_[hafqwhqAvZA^YXhmo\\ZGra_cNohoArCaomam^@yp@bkfy_fbDQ`rxd`a[PHrVpx_vtA>fjgqDotMqtrqtsPnCpspiknYgxi\\RpksXcwPr:Yq]_uhPwW?\\dAtmh\\Wh_OqlXI^mPEGCR=D]iVo[bS]D=gHA=xRYtMYHj;HjWhmWrT=WZ]CFowlQEn;WuuYHWRtOgsoX?YWnwTOchFEsEsE_uiRiiQWf^CwW=RuGHn[wMWSlsbkKr]AxjAXiuWiUYuUIh;dS?hr]rS?fweYweYPcUQetsIdPSulCSugYOerBeglKtFSXgsRHyIWoG]URDUHR]SLowtWsXcsE]fnmfsKdpsb`AWDoTS?gT=xxMiFgRygsTeta[rEIGNKCfqw?GUDkd:Abs_YxsItKIt=Yr=sdCrrkcQ_w=CVxmfNcw>uB@idk_e:_rQlYM`uqyvI`JKUwbAwjpnk`StlrJAjgUvWYj=XjOitOIysIYjPQV@RYeMXiJUYxuTvopN=MO`TXlHuThokhpDyMDDoJtSPUq>hWcUjU<Q;]PrhxfXOSmqNyj\\AXQ@vDqJhtXsUTMxt@Aw`ArYHNaaUt@sV]TglvcdUeTSjXOdiqx\\PExkHpkRHKkHpkHJK]MSDMSTMUTn=mK>lWv]YV\\m:tm_Ul=\\QqpQJDWVEVgupkLXKtW;TkdxMDuviApiiL;HNZDTmLYDXjRtrgiwgilOhLFdvPqtPtjCHP=<MrToiMlVaVIUkDykdHyPUnDEyeAwfqPB@lhlQALPqpL=hwL=mI\\VOPM=@tKDnHdTFTORpRkeULmTmPMXlM@POkdYKpTDuR:Av:QO=iUdTUhMJDunSIUYXkExOgDVdtm`uRDEMsIQuInJLRjAjsIysIqsHQLMQFeURPNfARDlM:Dp>DNZdkZUjKQo[DnoyQShkIDplMPUpUNew;pTIttL\\tqDPATUN@sV@vDTjKUuWiuWmk;HX>pU>it;ERlUMW<vHYqciRUyvDuT@ykITtkXoZDooHmc\\nH<p@=PcuuvHYm@pj@VHPQHiWIiL>EwdaU?ATRDU<pME=tnaxnuTQut:Ar:itfLPQhRcAXO=qR\\SG=WD=O?mJftTGhnMaQbXUa=JATk;=SFDrHyvmAmTHoPUMOUmGPjD\\oixoidOgDp[UOQdSpPN:at?hS<DmnQRUPwBhNlIQP=J[UKTMUMpuG<TyLjS`wYQMWhkxlpflLhMUgawfaohpoh`of@pEUMCQQoLN@mpmXpm<UyUTq\\lCymGqn`<m\\`kT\\lQpOw`lhUWeUkoyOcIjplQatOWMOnTkKxWh@SJ=OZ<wrUW`mV@HpttTjYPhTkLIVOHjH`Yxays<UWln`\\p]tx?\\o@dt_dR[UKQlKd=KRekJylj<QXlQv=mXep[ype`kM<P<=nJTr<=UjeqZtJr]S@Xp^tnkMqrDJmxJ`qv`qUwPY?XKnhS^uu_QnH]JmDMeqVuXMCQo?ao?uJo=keXnMhtbPOBaMX@V:EwbXxhlonLPluQeAPUDU]EMvmwHimu\\WOpNOxm@=mYlKdyYrlJ]aJ<To@UjUuv`qL]isb=WwDYlaJ@YPPdNYLrUPSDuRU@Y_lJuePtIScPODexIeYFyjFqsbqPNxmvMxCuYyuYdxrHyV[Ux_\\tyuXquXxtmAptatjbak;AjtAoLMNrpTsUpnEjgDPplPp<PZ`kE@pbutZ]xeIrV@N;XPyaRjuvgeK_AqJyYFYs[Tpkayu<Mx`lHLVjTJSAMG<rkIpkHPdLLgXocpPrDMyXKHpk_<OSmX:UjUus<HWOdjrHo?iOZXoFpVs`ODuVKuRRPmqlWVAMYtMAQQU\\tWIt@DRWqSGMuS\\T;`u=ur]ayvaQX`RcUKvLxlqVeYnKeTPyn_eRF\\q>ijmhKvltMmVpPuvhp^ewdHUUIOTyqmXm:ds;XKyHYmqnshUeiOkirraXJpndIWGhNkPtKuLOMVS_kQ^fkN]mf`=`hY`ldgiENf;VaY_k[g[m^p<hnN^klGplIcP@]KfmgX`ZNcQwplHwqNar^lVVaUAbyPjYHlu`qSI[GGsW?jUF`fgdoInqQmAfhHGwrQ\\FogqwhqIwMynPnoUPqEPx?hg[>iAxjAXauVajxmfVgLvkf^nFVtDv\\RyuYy[LxjC^iHVlEwo?asOvZQw`v^aFNcAnyT^dexoMnfZyxAiaYfcPgtcPyUHccQe]_^qvZLAeQpsaHgMasZa]xNk[h\\oHZZGp[xv>fhBhtOynZoZ]XfwqniP`PNvLv`XGwmAfWo\\h?f?f[C^`iVwsOjtAn_nv?O``a_D_dEVoeFkdPyM`qvHvdn[Hn[R`]jxpqxtPqt@Nb=NZAq_\\Xf]WfrGsDopFp\\jaih>oIn]J`kNfxLAaCHbQOqovdjij^VwAxu>nwOAnnwnIoxny^Uqafxq\\veBx^SYfqfeNpsvvrV?fkgnF`Z_HeL>xlgonHOiSt;TmmV_EdA;ykWD_ugaMFXCiwYGiYgmOEnCwHgf]OuZ=ha=tMWyvQxtQRwaSJAgTEyh?vs=vJEitIVG[xkMXOYxcMVFMcVAuRtQytqv`qFlWAhtMXuDYR=URJekwdQw\\tNppYQMWhwOMMVuWJToXpOUPPRYKbXRc`Sp@PCpsp=vBmqeyrEXyjHsChM^ys`pWrQopArG\\JpLSrQP?AxLQNUpY^PTTuJnHsOpn_TjT=SteTyQr_]OxtlXYvo<tyEscMoSPUqXsD=lKQv]UQ<dkU`MkYoV\\uZXmXeTCIpRiTJ<qohpohj?hjOitOmwDIvZUYuUQWQXPdyJeTAmmMAsedn?xlwinsqMUdxpPSXXXVYxpxxpPVuAuy\\TAXJamwCaNEhSD=Wjty?QwdyYveOx]ta\\Xe=vLiJ@<y@el:TQhAUlUtLywdaU@plvPNDuN^pkIiNgxYE@xruwN\\q\\mVJ`xMhJE@nixTL=ON<m[<sLyKFXou<Qr<r]lUldVldqcxK<UrEqVN@OT<VwDT<hQ_avnltFmSWAUEDoMYm;xt]AwbAKtiJdqndEv^lwBdUZ=pWmS]DNNQmWHJUMpJiNiqRhxmgur:=lLhYGio]YQmEpkAsJArTeK[LNOIuKLwRht?uVw\\oK]UFir\\EwvyRF=Votm?DvddtJTO@eWiuWi]Wf=yh]jpMMeAumhM=@OW@XOTxLYO@XfAyjAxjn>av?psFoLgtJpueGy;idqwjcas:@[oyxqYp@@`^fkGe[Gf[oeXoEYiD];hq_fBcbtOdGArvAVg_WBkfoqICKvJ[YOeB;=DhoBnOhpmXpmHqsHwUUjUSa?wfaw^wS[QfxQf^[UrscXCy<mW^YXJIEUUUUmIkocNEcsWdfqGoerSGU;eHD?vZSiyMt[sr\\]WfuhAwFr?DB]t>ar>;GWke>KGjaY<WGBstbCfxmST_WhqwhQRm]EWcE?mgwCTNEgLKsD_IQcvF;D>CFC_V=eRTWUF[wCos@IHMuWtiUiCTtCvd[e;CT?ybFMSAQcCkRcQfRiRAkIAYFPar`QUraUjgD?iUQmyfUWUQCWqR=ACVqCIgywiyrks\\SIciwMcFncgDCffMHB]DPMC_UHlEEGaX@;UNqchMeZ[UX?HLuCLedj?Br]dBMRy_ijqEKMI[YRcUdYAYoiSHMfDMbI[D@SesqUuGd^IWbkYgQxlQxTQuT[fE[Ehwgiwc;_XrmsdOrgeWguwGedOCsMKwDeW^cx;cGhkT^Ix_QybOUjAS]WS_AH>CvlaBmCGUGsPoW;?FY]w`odbcejqYh]Ds_xBkW\\MyLaXnECrYbQuEHudNsFmUG<_sGisGiGgcG;MXpwhqwbAwb;QwtMYt=u?iHbuCO[DXYgeOfuObJeHiEsvGXP;VZysamIMSF_[HSgB[QxVsECigg_V<EVOySCYSa[UKoybgHmaSK_BtMvTMX]dy;\\xclwiywixoiFeSGr]ncu^k;qfRFjmooP`i@OsM^\\dycs_ZGg`vacpi_fAubqd^ocJnoL@usQpSoqkYwsQk`QbZpZ]NbGIoSfdeffhgq:_y^gc\\Qf=oay>lIIiV`mV@pZ>\\Ba]]orEfj<qtPqtpqxpnu\\_bKxxrNuIqxDQdw?t?PaN?]CicVvwO>pcVeoHwSxo[W_BNr?Ng\\@bQod?gdoGi;xa=oetFv]xnfGlIIxyQfvHxTOpy>xn`hV`jb@i[xikPguYnmXe\\hbu_r[AmhOx=HdpVehFoIO]TQuTUquXaYxsmHWkCfQg:aWDmtbyD>OykUBNuDS?U@CXLkyWod_aHPOcR]IEuyrceoCg?CnrIRdxQIhPMHwAaSsILADyI]lH=qvMJQdmomT?lV?ElteNMMucIs^UOd\\nfpPDUPp@yqhLAMpY`W:MxVDjnTUAHkexnrdnohPQIuSIQlLPL=ONlTPmTHpkHPyuYyAyrAIxBqRoIRGiy^`PlloV]oH=oqDrvtrw<TFhUcIpghLm]qf]oI=X>\\ohTUlPXj]RVpSJlOIqtD\\LDEu;mkyeN_Amwuv;@WcEsZymLYN>XWK]NaEOWExWhWKHOutr\\YjKEx\\hj^Lon]Q^xUGQp>YOlTRHDmkLsQEV]=QLMotYPv\\QVXs_QquXqIlKHLYuUYSMjHHq_Is`=xaYMXMjJuW>qoTqxGEmkhLEQLsqsC=NBV_JhsdhoFPkOxiKXiLVaNy_lyoEPtCfhgwx>wfEhyJiy:qyAIhaP[vXgcNvKgjjIx^QleOnonbuWiu>gVIv[IfUWeUoaYxrKVge`_BNJKR]=RNoSBubWYVH=CPqr]eugAIBmg_kXKid=]bRYTI;c\\qxs=Begv[aSv=tQEfmIBmMi=QbZ;C<?GW?FVeBMWhW;UjIiGgcG[ICGCUUYVQbfsTDsvEGTb[EgeWgughogOKC?oghosXquXqeXoWJMIXOEOMSv;yimTn_eZ;C<?>PJxhQsqyxqyTQuTlM]qsO@NdeMgmRhQuUykHpkPqtPyLPlLpmXp=ulYW^]Vr=Wb=paxnahpohPZTXQ]uEpTJ\\J;=L>G[Ggs^A]<wb<ohv_ivxpqxZPwhr?iRf\\]plP`]rgeQwFitWitOitW]IgkghgdxYuXIucEWCqwiiw]YT^UYk]wW=iGQGyaeZ;[bJh`lUIXA`pghoghpohL>qWauVa@TrLOXpRs`UeUYSdMZtYZ\\YuXquyR?Xv]aSnXlSiuRAuByvuMQtLukIuVmOAiySejJIK<@NBL^>FvDGfOqbRwr^XpmX`Yxsm@pVIwCnyenmV`b?PZRnuh_m?VmGXe;hmj`l=>aY>_WWeUnvsGxZAvZPrvQuSia<vuCwtWpgl@^BBBO\\Q@c`QjD`hK_mAQuOit?qxIFuPnxShkRAmvVlsnPed>=xrAyrUWeUiR]Ic[DDptPAxSqkHpkhqwLMr>hLqDr]@UW@NBLjZLSQPPD@radTO=ysywXxY`yjymTrAu[TYQMoklY>DlEirrulVAlCXodpV\\`KBlUVyK\\@Mq\\JuDQwDkDukaXuUYQZqXeYweIX@eRe<M[<mV<kWAr:ArjAxjTsNitIixtISO\\SjpVUhU;iTyxTxeNwMroQOKxKNtv@MqU\\P[HUwLWauVauYyuybAwBpXrhxN]x?eucenuYNR]sSeWdhp<\\QILMStJ[PPx\\LAUXlHwbdmYpXVPWVhWX`P>mogDJUUKjxnuhPaxVgUUtDjfmnl\\Wy@Tb<vV\\qomja=QsyT`evYUJiAXlEKZXjGtXulw<mjkTk\\plb`S`QS_LwDuy\\TvuerLAMgywYlVltjR<LFTNPiMf@NweYw=Ml\\QPyKOMxOykGItbuXZLon=PemmC<rULVtHrIaj^QXIxXePso]vt@WU`nuqLTqT[@TLtNv=nsEM_LmrmJMIsHyxu\\KG`PGawh]ruaNa@VluWYqqwMynIweytixPplPR]JNPQNpjnlleMKctKl@pbtQETwt=Xj=LEEXy]KRMuwdQw<ptHU=]tEAqQynxqxD=YUXkLIyc<S_Dv_<tntJc]M`QNGlkGisGipohPvlwhqw\\AK`huJAtJlVUlvVlVUHPv<x=xPimuZajUtPh=vg@wfUL@uo<]PUqyTTomQMQxXLTW;tPFUpuXqAuNN@yRmvEeyIPk_qoBil@uUSAovUw;yskiJkAUQDU`@m`HVwMLhUms\\p=]qWPuNUXCYUVmNSEXr`VcPvnItKILwppRdS]\\r^lXvtjYDru`pxiWfhlVTNviJ[]odyWmYxm<pPLjIqPL`v`tPI=Sy@NL@LFioghosAMZPYnLrCAx\\PS>TXQ]KVxKoQSMQMbiwgijHdMSDMStMYtjxdmV`m>Irl=unXPqEWvHSqpPodnmawx<W?uwSqM`yuLQtLQv\\QvDQsDln]auVau<Qr<QytQQnUJBauGYmqDPCqN`lN@xjAXxsaQ`yMReJHmyqyqyikcujQpvlIpsmNGIX[\\oHyKPHTtlx>@sVtmvxw`tLGxukeO:Ao;AOVTMUTVyxttIUK\\yOPm;Lso=psdMwHj=YjDQllMKc`UXmU@pvZxQ:yns@lLIRo@vg\\MAAX=Awa@Y<UkJUqbptn@xQ<MFMP@<nPdrClsi=SwMwo]M^`Kv\\K<iPodP?ll@dpryYyyxy=lJ]QidTUPo>\\sJIKAdwCxRB`NPtpOitOicU@\\^_i>hg;@hVNipqywYyY_ikirwXiqAxo@ylWyEppBOocXfMPdt@figrppfvHd?Wu\\wfawZnnwaymyoivAyknv\\nehqr:py:asUIkkQwOY_jF[FIaJNZRH\\Jg\\Z@jyhypY]ro]`XfjHtMFqhXdTPgywmeAmUP[EWbqwhq>uRVuvpb?yxsIy\\nij`mWGZOqaTVj`>na@voO`]gsVh[pOeU@lv?y_`mA?EGbKlXpmL@utTQuTqxpqP?`trhM=mNZHKZeY;eNZ]o[MyMiUaIsYxVDPllDv=dQLET_LSaLXuMyOuVKUnhpnS=TX<J:<L:`N\\^dyiwt@qKPkA_oCAeJH^e?vd?d`@tIhj<GZVgkXO\\VFjXar;y_y`yL^eGn\\o^hbntj_iCns;I[JhvYyiyiy?YkQ>`OA^TAvs_iVYuUYytYwiHcPVn>qxT`wkpfqQt?ogMo^jOl]o^wfita\\vowuxwxXiwQyon^b>eTYjAv[RivWxu:Nt@fykqxgYeJVaV^]TN]<a`?HIMu;_m`HpRuMG]oEhUuLjw`WFpKM]M\\QU^tfnG]AGwji]RfpxpqXIxR>pQFmpVeaYghV^uVlHXo`Im:FrV>rJHbhA`vofwYbe>b^v\\Pn\\bqlEPfq__H?quwxhiwUypkntJfdv`jDFZ=xvCFZS_lFQ[iie?ps[XgxNdMYe[HbBfe]fcmv_R`p<g_T`muy^qqwWYjh`nKiZKgrK>uQwewgxOyayIyI?txV[tGjFQr^Vrc?lM__cycX`a;IyJwrZQjuXqu@v<`cU@jCob?_yXIhKfneOaH?vaPZ?v[V`wSYpawywyuyiywyxYYfPNf\\gusXhay]yAyA>_W^wu_cJ_m@Vm=V`ioixo]@ar]yrIHn<?x>vZkvv:yvFX^x?vl?^viZeFuha^=AvRH^kqynavMQvc_y?Fx`AixOn>HcRHkFnsgXrWHhEWqkHiEa]WNqZPmSxsS?y>wcIw;_rZkutgXEkfv[H>kTy=Tt;uQ]iK=VvAYqIt]wRYaYmisnaxnSRggGMosiMvEwsCsYgmStifCGYoET\\kVHyvF]H^MieGYC]y_sRkqIfARFKtuSH?YxsaI>SDpiTcCigkBheE^gdHUIPYdtivQwUZ[tuSIu[ceurq;R=QUAurbChCkFnSfQoGsCDgmSV[EV;b@iynYtIuuxUyg;cTkVI[GCwyvysyayfYhIAfvIHUAw`CVngx^av^[H>icUsHxixiwYwaymysZ=YZ_XaAxs?vIOWPkyoGrdOwuOfLortMDW_txAYskDg?uPQUDkXVsEYSrROV[GrTIDs_hROiTsDi?BFQB@au]GTUabUsg@]ifcyVGxN_gAUbOsEl;y`isUwdisU<Aw<GY@Gi;GFxavMwShiuuwBcebDCh>exBirSUcIICyPU^iS;A^ixcNwchQ\\@g[QdlEGpYcOGE_ohREHYKb`MGMiUgaHdeTvKVksbPebZsWf]W:ws;QR=?FmScPKYPkdUisULjmIu`Pkitk\\HmSaXNpORdXi=n]MPgxoixypYui=nn=tD<YCdS:TsxYsitqVPmTPj<ApsEsjEJPLo_=lolV[yKy\\yjQyoYw]AM;`WAMsG@qrhT]LS>ETjTs[`W<lMWtm=IwjmYE]wpHMTLMTtMYtMV\\M\\UXjtqgqUQ]YHyv;<uoXU`mWMewfyJSPN`yqnaQILlBaVQ<TpmvwPP<Qm[\\XJpTtXVwhLadVZ\\yWdW\\iSEtW_eTGTYg=ycmv?EOSejhPwCqJUIY:YxHqsHmV?=j@iWhmWHysIyLDdj=Yr=ij?hJbDUVDjFXU>em`IVmXYcQlomK]PSI<YRaJImmvDjCxKm@NYxsYqqwUM@iyBAsBDyVdP>HWMmP^Pjp@nPhjSDjIXplPVNeo`LWLyuZHQqyxAIlqMP`xtwdogXWuyJAhpy<TlLNuTvGMQb<YjPQJLXHTOQ\\lt\\X=\\J^il@eOmaPU@PJpOcIvjQMNPvCDlfYweYNuUnUAjUEQwdQw\\ucex=dubhR_\\je<pgdYK\\MHiQMYNV@YCqyKikd]Q>\\RPQWaMulivEPStYyZMyNXkjTwCEx^=wYYMqlWFasFARWTRkPxutXquXQmTPmpqxpkUlw=QWpPxPmTPt?etdEVZmrjPjHQtLQLF@JtxYSEYHhpj]Y?EKi=l[iUjPQV\\UV]UVhmWhr]HKm=PUaOIUTXTqyXpd]J<\\sk@j\\tk=\\OTqssqJFDSAUYc]SAqr@uR@mj[hxUMUlERtdRW`oBDRcqSxtjWPkSij?eOB\\ScmM^DuR=nH=RTAuRiKZDx_eLMUkypK^PPBeUNpQJlQPAwD`Uu=WB=On<sHqsHlU<HlJqojiTlMm[MjK@rSXy]DMP=wWAOp@qK\\Sd@v;mt<TjsisTQT>ItKItXquXTwsyNGaQSqVGAScOhIhmV`m:Ptgywiy]V^]jwbyNhwqn<@pPOsjHuP^cCqinAwKYuqxgsIlIhyeik;Iq\\nlpiqHfcIfbXiuWidH>iiHxm>]JXaLOrbn\\EptPQ`YXoIQ`iorxIgnYvAObO_ynYtIw_X_qRPmTPquwxhn]kg\\fNoX>hWpZh@jO`ctgxn`kThtp?hvxpZFoFX]`Wafyw`ox>y]PP^vAeEXsUEeev:wswsYxaYhmWH[ShMV\\MbO]IZgELgvAOf>qHHUBVyyZ_slweY_GR[RwSSoQUowBFwCwEVp_GcEhiOhHyFCQceQe:iseifeOUSKDmUc_ogsCsjAW`sDUuYtQUbmULGg<=Rc;F=ATnWCESCKMFjYwwGT?cXx?Y?uVwKwxKiv?UtyTFOUdKcpkSdccusH>ufKEdyAXrSBD_UuQuy;d?_BT]uysr:CRxYSKOTSMH[?yQ=tosDYWBmyg]Wh=[WhMVlMfywiigggghdOeigH=mgKITauHYSxMKu\\yYyyp\\EmuiyqyuY\\Qr=jsqJoHJXPsTlOxLuFyPvP[QAfxonHpqNgvkFcyXqQI`XI]J>siOoS`elG\\EVs[orgvkEHtcfoV@eJQ^PgfvFawfryn`FYkNg`mYvQ`bYGcAXk[^tAQtLQ\\fqoGisG?gG>kaimuvhfhw;fcwA^=QuiWv`VoY`bCPeFhxy^cxf]^FguWuLa\\^HmaVirFy>WbeijR^gcqbhh\\RpnhWdMOaeqwT^dIXfk`bXFZ_XmWhmwGx\\ibywiy^vMN_MQgqyZoyjroaNf_]pwRogk>`]NZ?Wu:nvQxhRxlBWecqn^GnPOsUGmSvuCXovi]Xy_L^wvgiNpiGomSOctggiWgewggGgCekmXD]dcKEcas`UUtSIUybAmb`sFakR@mbuKuu;i`aTwqstCEZSeykhuOssCCUGVuUYuIWFkTNueXoe@GI;ucW=DNQTewSHMTgcf<Gr^SIcmBQcV`_Io_gokFladhGrFKydOUjiujoThciNiFikhrOHvmrIKRrKhKmvn[xm=G]Ww=mf\\MTB?NIxkIxvayvY`QsMjCxxfIum<uWuxiyuyhXeqLEHmm<U\\<wqQwUxt?elf\\wTeqJLjhhLoetgqrQlldPwC`pxeYPMw_<uShpd<Pv]uUYuUAuRAuYyuqDp?QLaYVd\\qXDTrMYmXYcQjG`T@aujDNHHRs<LHyvIymyuxWyXsaYXTpJ\\rHHjG]wKDWhMOPhT^MlHls[UJrAn@MUdata=Rn]oAHjqyJvXXC\\VDmosPlkymgtuGaW`TuLtyEqlXxrAQVYdUZPlMXmQtYayXPPQ=hrHPq]QTLYWvPVPTn]Yv<lYUuVAuvBAxBaxGHwKHtKporxNiMqVAPvXuvXxAuRA]W^MJ\\uJtuxuywyxusXXAhXnERfQYtMYRLycYs`tJc=W;HpKAlLiUEyuSAuQMmn]r<mRSMUULXRtr@]lxITdDxihNExYgDmF=qkyNOAy;Xo\\=v?UVNdPNtJ>YXauVaeYweyGYmq\\lJ=mX]oneSIhm_TuSMvp=tAAsqXnB\\qjxvrHrdYt?`mVplPdM[]qPypfmNYirg]UXmUxYxIyQQuTQEUmiLiqKF\\KZqM@IVmdoxyKotVIYWKMqTXwZdKEpxp__ggfkpoEXkExavAx=neXn]XNb`FeaQuMIbyigZHhrFvMycyfrmodGIoTFtYPgypflQoE`iqPhXhw>Wt@PsPhpB_fEycgP[FyiygjdWgggZsqwcqwsNaf^lvh`kxw;n^[WiaClKItcHsCIPMG]Et=gb^cD<uWEUULgxl[SRkxe[t@kTwwtiwUyCYlaBfowxiyuYHmSHNUEPCr]MCZCUyoUX?enWDE?ffoVjKvamS`?C<MR]OcUceameUUV<uHsaeoAHSSy_IcESch=bUiGgcGw_YsQDLKS\\ubAIgcGGLSImeC>edPWt;qBeMXMkdHigNIYTWbruCemtQ_VlmTmGWgeWgIymyvIuexcrM[gaAIBcBwUv@iCjSv;Ir;UCRuHy]iPOh`uxLiBZcf=cyYKETKwcIwSYuUYrnKuYyuAgd:Cs>Oy>_Vx[YrAXtMYTowt?glwddUgakFSkfTydYmYCGwBCcggdXud@ibl;hEcc[ih>qXPISpSEKYEQEtSksE=bQyfKecoyv\\eSe_MemqatuUxsiiwhqMWtMYprWmQuPqtxjAxjk@L:@w:hw_QT<yvdEQSPjwpMRLpfIRAHsCHkDuY:\\kD\\ot=q^mTKmVlukQyJx`q\\pt;apmPQypLSuu<XPcmjOTjdTTXaWwdOyYOImn\\]LWHPq`r^qQPILO\\WuAU:<JSqJULj=MR[MYwTYpawMAMPTVQtvWypNeTFEr`=ki\\rRPQkhSX=kW\\v@ylWuOqhVqtPqtUv@YkyrYtYFysIYVwUru`oQlJO\\kuxrdXl;xlHULlHScdUlmJRaQ]XmGLr@TnDltOTWUUvCawfaO^MLpPrdQwdyLY]Y;XL:QLtTvwYQiQJ;YNr@vgXUq@m:hmnek^`tviShUusAPiPT\\AScAyu`wAPllAVVaUCmjIUSKYQKmlY]Lw=RA`rypQwUUT=PbdUWeUjlYm=NThr\\UYAurJAvZav>ar^Ay>uYYEoRdSpdQPiogurrURPyjWAu@dsKItKlNdIr;IJ`yvexTipMylYvAv;YjIqQuaKMdlklXZlXp@W@uV==Xn`Lp<mipsNaNatRcTy[TlGPV[\\kmDNDpRiQP?mj=]qUHJ;qMP]tFePluQDarlYmOlQRlsmiLyurRlL@DQ?pMSXmUXj>puuxXiIt]xRmTPmTTMUT=Xj=ptIApRUM`dxoPrfQt\\]lTaynLlaUUk@pKEufUxcYtaxuyuywYxays;iwj@qkxoe<yVyTYeYoUx`iSfLxxLkWUSSUpMMqTEnNmtE=YkEXkeYweml=kCmXr=Yr`qv`SI@K>LxmAMMYtMaXXXUfMP?mKPulSdsCiVqdwpAoIlvZeYGXlMYllqte]WjYPdun^amudkMawjaNUMSxeQglqELwDLKqyURaxGivtXqtTqtLQmEuLXOhhqg>fyAr>AurAyRAeYVkw_r;WbcQluOyW_oAhdjHq`ys^Hy;>rpAeR?eroxfIuWYqqGg;`kHpkl`q\\xovIoP>eGFsgaqx`_EWg_FjcNn>ircnoSPvuN`L^wfyZs@do?e?Xqx?gDxqi_q[IbDfmQAarW[>fZvgZTavgYuq@ve>^p?`w@^aXfRWntQybOik?[lHuf?lYNmdIpBNhTggxOtiOfWArr`i;xswYwYwytivQxe`yvaIb<HpjXf?VjHiyayayIkA_aq@btv]k?o_`oCG_Wxxy_^YQZwyqwWypnnHnfL^o>x`iou:htkO[lwjEVlFvZ[>lRXeqpgWQjcAtUYuEAq_@vuYlhnoNPrFPbBq]PY^B`]hgZ>ygywiygf_gZ@g\\qwg\\icQoouFuwqkwYn<I\\FnowpsHqlVoo_VuLQleGst^bOQslfyGY]OOe`nkIGb\\vcIOcIhgWfgwiqwXZwYZZHirWwZwgYvwaosP@heXhWHvEorZqv]oc<AtIopJ_ctYZjfbSVfqQwOY_bh[`vcj^oRQhhQnnvllF\\L`r<p^PIr;IZuOf\\o^Z_ok_^UHfXNaON_b`ipApeApRVaqWuUQumh_SWkey_APdVh[lOkdipjWvoxusArPwrD?[Cfjwyg@oiL?cC_ebYdYAuRAeV_e^_q>iwR^[P@`gOf]Qb@Yrv^qb>uOwcCPhkixO@a;AwbFfa?[V^rf_ZYieBHXEx\\Ix]yrruDaMR=Qvp_uywYYktcYrAwCaof`OIuSI=wgGmFRQCGiRcQfdEraoHa;rdqEwKY>GE@Ex]uXskt_CbVKbAAbPAbDARNCfcCEq_R_EwU_S^syPMSqyGFysIwFr?xykyrYvSYha=vD;FG[UwYIuKIDgdNuTuoX`OeqeXqEvC]YPmgoggOgvuiS^wGVOt;oT\\=bjOSxgeUWrjcXquXQSS=mXBGDFOvjWhLeHM;Gj_xN=HDKS[AVPisGisk_X\\wVUISGWU\\?hkig:QGCgRMKI=SW\\kvdasFas^av^uYyuIwIBxuFQ=ScsemHOP`ORQUR\\xqDPZlWEUSE=NgEMqxTBIv@`TpaxnAV[XsoprCHyk]sCxRgPMcMjq=k@lOnltkdjrHt\\iPiDoiLY_MnDML=hnCLRwaxcYTjpLbULJmL`io=@ukLm<yWlQmaeQGps<LOMUum=r_aoixoyDYlaJtdjotUkpU[qTFqsHQjcQPJhYn]XnMYtMyMxSxDvTirUQJxXMN<rliVgaPmTmKPt_TqK`JnQjwmqY\\Qr=RI@sitqvQrPDVJ@UXHkCyjSxj]<ti@UtDxhdl_\\wCtWZEy?DpPeYNapfxUf\\qFTXdYyiyqyymyIyY\\UldSeNlTWhghbPX\\pwpNH`pgn@hiFIdIPvLxqPH[U@s:yqbXilOivOj_AfqwfA^Zv`tIOneXo]no;YelHhIxk]n_cHuFOk`QoofbZOuonvUVqOIxpNt\\yppQ\\xnhM`qS^tPVf>hdLv]>f]APu:ar@PuZWfuweAqcBgpcOc=XhgggGpeYx\\ineZOfnohnol<h[DgjFougo[@qjGWcAWiuWgvNyF_ljPyxqdQO^jvpnWoMp^t?dp_jF^[vo[LvZKgf]WoZgimi`u>^p`cWwr:IpZF\\@gwHimu>lJYiqqw_Yxs_]>YePnlW^y:`ldved>[@h\\<ayZWcno\\`OjHGeXoe@Ql?X[Vv]Yvy\\YkinqsqvU>dt>huHR=D`KIQYgZoepovaUTMMIeygfEfICtSiE:UX^QHqeD@_G`qtiwixQCo=CXSBTUrmIFw?Hl;HECxBKVASW]YxIyIyQyeyg[eTrQdsCWnsfLWwQGuB?DpwtiwmkyrYDX[aYE\\x\\`MytXptLw`rXQVHETFxpeuSHuSRMwnPWNqs?muVPthXwCEScelpUYYioX`tdenY]lGqm@EwEmLmTyX`MHQXWLlxAVMyrP=U;tMApW:Tt_XWSTPSlLB\\KY=oGlJTTW[YSiQW`IUQDUW\\RLLYK`o\\hPQXj>]l]XqTMSu\\oP=VlhNxEKSeOQTysTMQymFPsQptFmususwEqkLshXxVIvCqVlHTppn=ErADj[IQqQs[DnjdqXmqvESyhMm<xRPKZUM\\IWNqNviyFyyZik<hqWytQyPmTP=lr@XvNaOZUr`akFPvZ<ObtUVXrLuoxeVmdu[HmcLSQ]KvyMCMS;IM=HQq\\QVMwfqQplPpDQsDQkDP;TuQLxpHpkHJChVaDKPlo=hVFTwdmXpmLVxKf<x[YrA@QY`ohHlvTrPiPSLvAEmFPVtpXtMLm=qlIKKDMX]rdhxSmJwPvFXtLeYMaW`PWypn^EQVyxLXSIirYiYO]UmdN\\=uJ]URtQXmQRhXUMyuiNYeRfYlBuly<rqeR^ewoMMOlpeQMnhL\\=OaTvHhsgLk]<PEHrgAP]EV>@rZlrAIMTun?xOw@xm=rv]W`lN_@rmQSYivrHj>Eq`dUcLnHty?iQ;QS<ElwuTtUNB]jtAXIAliIYByQgYKghPLqJhM`ZOs]fsgPx@gcknp>Qnlguy@k@gf_?[vqm@hntFv_>eWVffAnb?b_?fngkF`kFn[Hnlc>i?Xt^HpGObJg]mhoghgn_hNNwlYmioq;Vf=HykavCY\\V^jxGeR?e:Pf?hflawSY`RamfPpcglR`i=hk^WqaGncA_Wx\\<afFgfZau`Hs?HeOyuYy[]OvHimuvuywyw^wa>_??tTNm\\_^p?mKxkYva@Pm>Fp=`c\\YjZXjpV[ggn]P`xAr_Npxf_g>eH?qU>qvo_@g]_@btP[EWonN]DPcUxtNq_OPoDv]ZikuwwGFvWYfYne@NmrYiUoeaWeDya;H\\<_okVdpObNo[`Ot@GwF@u?ncrRbaRaUUSUUSScZqgLUGReftWfRkt;USBEgOgDs_vk]cfkrqWhmWdFeiNCsTssyAubQs^UUD]T]_d\\oUfkv\\AfBWd>]vCeT=;y=mDeseTgsRWVFqG@ksp;eLixxKXUadZIRm]RKQs_QgRGGKYir?fFmHhciHWD\\OfSoix;D_iUkwsrYuBIDe_gluvPiWbwSIMSLYvEuB^SegMvg[sUmtyebxcvH;ENeGBauJ>pvFbfQot^v<v];@tv`lhNc>XqOgaBqnl?mm?mOGyvoiZ?fZOgdO[fiwoYwQA^jofCPt?NbUV[Ma\\EOwawmwojIGyRg^Y?mafnOqjkgeZ>qjfoPqtPqdPodj?\\P^^rYgLAnAQt@XvnG_?w]YQroP_rxjBaxN^ug_acffv^deWvKAcMitIep]Iw_f`GCF?rSoUkOSDkiQOF@Wbw;ckKbqwWYqbCOHmSH=GUggfjctMYrAqVKwg=UC\\]d[OEksBjoDsEBnWdsmFMIihKSWKe`eVdQF=_us_Ip;E_WhVgYtmvvme>kTvOTR=uHqWsuVZODBAUxwykgcSmcNEXWqFf;yO[RV[C@KDtuxhiuCGcC[CJCItUBVYrZCyQyDSIvwUbt_iquwX[Desx;AX]TMi]Xn]LmIMeuLnyoilngyqJyPuet<ptV]lhDW:pmmMJaQKoXN^QWlMXlxnaxv@ikU<LsxuxUygyxYyYAay=Dq[mJ\\tpg<VX]yrYvI@QStmwQvExOjdM=@NSaTATR:UUZQnjUL`uVauYwixQ]uV<l=\\qnTTOawjlVvpX>iMQeYx@sYayS\\Sxyv@LnsLSUTqTLoYXPj`UkprwtYxaMq>to>ab?jgW[Y>j[>rRFpP>Z]@w:yvR^d:iumg_<HgqHdsf[j`t:gwGxkIX`xF[]qs<Im`Yrmh_rocCV_Ppi[NpcY\\yv`]?pbxf]i\\:G`eOkkh[PXo>wsqQtLQtExvi>xr?ir?bPwvMQtG`rRw_pNls^k?^s]?cbimuvhRvvDHn>Ph;vq[GwMWkZhgBqsQ_psvr@qrZxejGsVWuSQh]ynYpi<Quo>`j>ZWWrTxopI\\UAqJohpWdMOqmyrx>wH@foNysHsBqk[?^d_keaZgHipawSauVa]^w[Tolp^r<Qr<yxYyiIq`@>yBhhIV[LpeM_nAgovN\\^N[`Y^hv]<nropvexoxPjTA[DXfKyZJY\\=hdJq_DI]:WrhAa@v\\Ma^mHgRNj\\WaunpaQj?nwypyeyqPwdQwdPodrwZfHjAhuSVf;``tIuZq[@?sW@]qpgWQfhXoOI^]hr\\^`:^kuxcIwc]IaPy]vv^iWvCn\\Ihbao]BWZqN[yqqfoZe>r[_[HqbYfgLAlPvlC?_eGtyQxEy_F?ct^ar>klFniAj;Gp_huOQt@nbEfcYogxA`Qi\\dgj_wjSyb;ndVVu=Av_HmAikD^cB?wQnxIWr?Xb_PfPfysyvYxuwwxWV`XGhQ`sDf`gawcppRgmv`h[GrUOyLIqo?]WhwAXf;>sJalR`inNoZOavqxUygZqhf>]@Xx[GfZIaHnk?AfdihZvyPYe\\f_EhmWaZV?a>PgkGhKXkK>w<vdYvunPkNpoqnZqpihNwlVgsptUv_ovs<YuwOqenwayqyiyiA^kisqitk@ys^cK_kE>sq>aVynYpiDavP?_r?ovod^X[LO]?`xhNfXqdfvt=`wdQwHHf<>gtvslwq:W^fHnBijyA]Y?`iYZMxmLwfeg^i^]>Y[`q\\FOypptp`nOXgOOjEObTHktNutF]@oZ_NZTvrR?kCHkCNaPGhl>aGh\\tFxE^gNpyHHvo`so_eo^\\DYrAx[ShpGNfAAcUxaxAy=vp?hbcAqki\\Whk`^cc__M@_WinuiwRgZ:nLUGpKS^SgUQT?Cg=?y;wu:mFkmF_oWxmYXgffAxBKtmQwOYguyxiYtj?CDOb`WWPkB;ibnAYQOSIyrQiVoEtvUcC=SWwx\\gUNwdhoDisi^wwiwBHcWqedE=EGmXmCCvqimsFdEgeKUquxrAyr[cx=ev?tM;Vo]G?gCesuacT>SymORtEUW=rHIICMbVyDYYENKiMow\\WCK[EYAEZOGuUWjccU[VSMYcYGiuiXsEWsEYChRkD_mtYybLeiFqwhIcCIcS?eCIh`GGROCnAciQR^iSosu@Mf;wX^;ENubUEBPuB`]C\\uVgKrXsIx]sU]rFOcbaWaguZuWGUs<UhMMIySg:yvXwIymCKWb^GuHiiYOIniejey\\qs?kSjgc@;uP[DZiwgiWpcV\\CsmqHeMY=siv]GpsW?IX?kDl[EnMet_ICUSPGfc=HAWdKygMuBi=ERqw=sS=SV]gckCIsCWU?IRuBcIemQwpGHDqdDCtSqtSoUn[s?YUoWxUwt<wDOWEK_HSuskoiT;RS=Ua=c:GiPwHDKc_iBMosskc?cFNWuuseXiynqwWYYqoVhERTuB@kB<CCoIdy[gbqVUovQKddmTqoctkfxoSIuSyexOyTeWge_WjohqwhAkbqYxIyI]qtGcCGCbOIU]of:eFceSeMWDuDfsVVWDeYweAet;Fm]X:Wy\\GrxGgEgvRKVtERxCyO]WuMCMObxMx?ir?idO<nnESoImhHQqmN^xp<UNfDqLyTHupbmj^QjxENkytayPcmWvdp[uxVxPPaMfmT?<jKLJVqWUTMUTquuxhTpYlrAyrk`yK`sS=KHxqylTnaRGDrLqwhLStQkRtM\\eNFdo[xU:QJiTrEQLfLMGxvIMSlMVmyluqnh`wVXWqmuFiO`<RVYqALPQMwp\\liis=MXcDnXymT<OE`v:uPRiOohTHHx;ATx@q?Uwk<rdQK?Pr;Ir;YsQxOk]m_MwjUwRqRfHTQtYKMqypwZIKHXrZ<mUXm=PNv=yjINaiS^qpw`Ojau>IKIIryAVO=j@IrL@Ytaxc<WVTRHIUJ\\QRYyBpOjhnciPKYkdhlMxsspRiYMy@rYYL_LOOtPRhY`YmBDmh=YQMRplmJ`KDPVo\\wIuQwax;YjATPmTPJaMVIrCmwyEyUdn?=pKES@HUXHR>ASgDyw@OTumn`uLAMaMx;`L>at;MxlTSkyKgdvxDqJ@TJHqKItKYmqtWlDoHtSZdowhYwEqPQXudUePQ^YoHMmc`SItmsDLTLl\\tROhs_UPPEp`hYxIyaYWeUWUUUUuRAuRUDPxuywyXbdvxqyxmpqMVoDk:IT\\tLW`qnEnY<k_XjSPSGTLDQpSLjWhJUxYf<u@Ho@Dq_UxPTwyMV;Hs;QrTPtSxVUiK;ElFAVOHotXsmEjhEkdpk:qrUmvfqrTprotS:]LaxP<QUW@mR@VrlKXDm:Djc@w=yjwtmHLNaasllt<ylpiRFyRKiZ?gdw@g;_ZXyuQvsZwqoF]XOtRif]RwIGgwysOTWMDJGIB=GR_UCMRiausGHocHn[H>uusSeSaFg]t^_I`sBhCYUYE@kXsiWgeWZkiYmYsiv`qv`SgJoEV[Ef_gf_yrYvI_SPqbOQcuCwGuD_CSnsG_WgOMGWQdXEuqCWweYWSd@WupqiaQdYgIPEDDQxEAE>oefSDJ_TOIGloywiEjos>[u\\IglGBTEFyevH?nYex<PWYeNADpdXpjHrvxO`XPrXj=HQs<Pj<JOExZIr=XqquwXAqkUjSao;MJ]=LdeMbtk@epbUlwpv\\prgHUR<S>etGeTIIwsMtcTu_IpCpu?iuVPU^YnkQLeXWWmVsLMfhog=Xj=p^ImUpqsuyxiYB=WCauTdMGyxnapphp_Uv`PQfQtP\\xddxp<m?ypruXuMT;dt[arxtVgEK`=kYimILnhHxBhJGlldqtPqLnEx@qr@TnRpUypYwYrItQjdPRhtaLjdUul]todM_Xo_uRtiKchtOitQxOYMRMMrbPpheoOUjU\\yHpJetX:ht;HL\\MoGuSIUvU\\oApVDeY`IjoImNlSXisLdLHPk_psdHX]iOfDT?AQ>=mEiLXpU@ijq\\qbQYqpOM<wj@l;URjXRW<jslV_HSLxX]DQ]eYv<Wdqw[IQn@rQqsZEkPlv?TY[XW:pQEywOXtZupwlL:QTa<pLuyrAyp=x:lk=@vQtOT]OMXK?UnLMwdhWA@Q=TQuTQiesFaKGdK=tmVqy^qtGYU]Xn]DyrHmlUSPhr=PS>Qq_TlGPOetnG]TiQnePohMo`MuOIsldLr\\kwyOnix>esiMXr=YBQl<IrA]QWhjxiJaljtluVau^EKeiqwhqQtOX]Yuiwq@qY@QgMWdMkUyof=oM`U\\LmVpuolQ_XPhtYHhKC<jA<J:DkwaN\\@^Mo]MXZ@Fr]yrIxZ@nZbO[:Occqk\\Hf[GiBpxKn\\S`eYweAap]vp=HkpIwaxm\\OrsqounaSGoRppHWnCwy\\Yqw?rRw`rAui@_Equ@hnAQhaPwE@e:puui[Gn\\Ewfe`^an]`i\\FqdpN`shheq\\noZqHeIyo@ydoionnvBvdq@_VP^kh[A?s]Ir;IZeH`U?_LWxfqeWHdnHpt_kcYeSQrdF[`on\\Gk_?uQHy<ng;gobNq@Yq=ipLHica`T@mR@neg[d>ff_gFX]ovw\\_dDH\\fpeYnvrokOf]NFjdxfD`eo>]@xl:F`^w]Bhj?hZbGclPajIqohpoHqsHaV^j?Os\\yvPhs]wu=fwCXirivQxeh_gf_whqw<`skvf\\yrYvi>`e]YgyvyvYxUv`h_hqwhqppppp?q]JafXYg=ot=?<qI\\EV\\ewiyvIye]mdRGG:kWamwtkr^CUQeSVCrfUeWgewYvIwIXaisUBWMBUQb_CrR;ssITxqb@IUraHSoG\\ed^sU[sG;aWvwXiqunaxnkV]shSUEu_HyYYwWFCQYN]goisxEXjwgbmiMyE:wREiTdgDBygt;C<yRkOIysSZ[cZ;XJsSfwyVyHfQwdQBYWShycqkeNmBFctdidL]x:YuXsIxLOoUXmUPDXvN@xhlmyPYoQKDULEQurAyrTyMLPHEsqET=htDdyEAnthqwhQ`uqh`of`yjYrI<vp=y`ysxTyfmV`mjgiNR=uYMrUaRNpwVhKxuU[XJmIKp\\rMxNI=Uh<Km=K<PKEMjMirLeNb@PjdV;avjMxMynIExc<PyXmqtWxLYnAwPioU=ldUSFPK<Uyodw>xxu@UVas[EJa=WElLrPWRpQStYaqv^dNTLU>LPBhjXlVwTs_Lt\\QUXmU@PMRdMWdp<<V;yLpLWXapjeVt]NDXlP@MuUR\\QV?dqeEQnPMomnkpmQqtPqLr=MfYoqxWYqysyvY`o[yKhiL?YU[=qQ]oiDJX\\kMXy]=vhIpwhkStWrmk=xpig[spjNVprA`e@r<_sSY[kwfawff_gFvuvFasFav^af`lip^\\`haAuUouLwnM>mGVyjfw`yvaywXu<qT:aX[uDWKWN[Sf[S`[SfwuxUygYuiuiwEyliFxGvMwSxCytYwiGVt[SF]SJIsqIveKbZ;uFCsr?IUSw`[TOIwUaIBKXscYgwBpSS:OCseytixmyvIyDQsD[EcKUiR=Wf[X=kS@_T<UDREMCqvALmxMrALwH@nBULGlYd<kbaWA<u^hPLAPFYNjUR<]KEdj<\\pa\\kb<kXTwI@jbHRmLR@DqBHPhpkW<rkqOhQLElY;MOcTmn]oRmXy\\Piiyuyx[hW;Yu:ILSlT;xptTQuDXTQytOa]IeCIemVpcH_WOd=PfD@fcyZeyrE_s[xdipe[oh<AsZwsPIxkIhTFfrV\\iQrh?mWhm?Pr:H^<xGcwxYvyky]YmvUJePnixoIpW^uOsQnnMrAEY<\\sNex[MN;pmbmMGLMb]Rh=tZeYAHvHDV^MntYvAykYaqsWwuWGsfkGUYygyoyDwvrcCdIBEuigYc_SwjSC<yBtQB<ghWyvXiB_Or=OeCcCc;exET\\UX<md_YBoUbdaxWqWRYhH[IFQgwEyxIEPwyEAbM[I;yHFeSGEvC;Y[;sYSuSIy_?BYATeSSF]dhGi>KHBeV?avbqwhqVtCFf;Bjkh?gb?;gA;UyAH?kyrYvISeq;eL=T^;Vu=e[=Yx[Hn[HwcIwirQsUvYvYsy:se]efCcHXWDh;t^ACpewU?XuqISEuKGdI;dGidOgDBUGfSg_gf_;cXigUuhR?g>Cch[DD;UkIXHYxaysk=DiCiuSrPQELgS[yWT]UKecn=d^ed=obFEBHKFVEsIQytQyrgsdYIEsBGusvUrtkBP?RsQylwUxwHT[HiisUwHAuRAEUPGId_BxWUSkXvuIG_HGms`]fnehnoF`_DNGBBIu]wRI?HcCRQAwtkUUUUU]UV]rm=wI;HskS;mHuQVgqYv]b?Irkautui@eHdwRDKrAWgG?glGvbyTtSwbMtfMDTUs==rXwuJEFfwE>SIXSSvcin=dMmfD=vgkDIsHI=RloRhoVW?xQ;cWetXgU;wB[KWVqrICbVCtioV_cUwSHEMD;UhGAsdAek=ef[t<ab\\mbmWy\\gRCQuwKRMOTt_VeGWpuduaymyscev=Ge[AFnIBBgEccuLQtLqv`qv;Ir;svYku?aF]uvx;DuGb;GB`IF@CgNIR;aDGmao@J?vmwe=iSocefgilgUu[X:;UT[rPOreYIT_ROoBakTMSstQb=]hgOGrgTIqxgke>CvV;yDkTCiiNAf<UUL?fnkupYg__Ctis_UuycH]_Hbgffit\\ST=gIQUxD[hdEtGQU_GBosIU_dLiT?kttYiquwloRysTv=BIIuvEgJSboqgbWBR=w>GiMqixATJebH=DxQeOIDN]EGKW?sH[awlIbD]hWIuraEPaDUuuTEbesws;hLaXnqWl[sHUYnKrYmx?[tlSgveGCusyQEXWXrQUwIbyQr>;DjCunawgYBuOVrqRKkRSSFQob\\yYC?tv_dHysySXQSygcGhoyZiW`]V>kHA]XpweCMhjEs?eH@qDTgcx?Y=sHRMIU?X_Qh__IBgu[=FpSsHIYmOGcWH<cuMCij]wZeHJaxMkskKGx;xFaV;]w@YeZehl=Y=_f:AgTeWyUXiiRaUY]=ymiIUYxCaSxYvLSUKMidiUe=W\\yFWev`gRfMVsUY\\;x`_RoWSpYWHICYcHySbxwbGais?XHqBPwftehpGW\\_ROIc^gxiGUa[YB?VLuR>eH<IW<cDJ_ePgcg?C<OCfoXAQd?yE<CVFKt>Wg`oerqiOIbUcFLeUCqv^_XaAsXwYSeHVWxvMXPUWxCs[[GviSwIfs_TOmiLgEZKgT?yY;ei=GkaDxQrf]gTiTl;eMghF_h@qDFQgTShPYUXGsw=swgCxgwVWiTas`OUhGW_SxiMgFqfdiId[UiaDgmvcaF;UDLqIaSElMcx=sTcXxibYWrUqI^YC_;yOEfTUE<?FBKbZ;C\\`J;=L>B<?GW?FBKbZBDuFBKbZ;[b:;;OtCKbZ;C<>K:KbbJ;cbJ;KNZZZD;KZB<:ZBNNbZBDJJJ_ZBJ_ZBJ>;>[\\<?^<gyKOqFgZtXsG>ZynkSPtyf[eWnGVo[@efNwHank?v>FbbOh^q_Q@``WpVgiDH`ln[YNpjFco`eQncIwcg_hvArsOpHxhnWnLqcB>y>VrgWvExvRFhBo_I@dlggJiyEgu@YgK^cHpkg@lp@c`fvN?cQNkH^e;hg>iyd_g]no;po=Iv]AnV`mV@uJoqUGaEWftGw=olu`te^[`Nnwv[XfjtamTHr\\NxHGiBhsoNvBXl@i^_hlTin_hn?O]_piNoqYWcIAiJi`bFgp^pZVjJ^`M`bGVgTfjNYceF]sgbSpe?A^`q_iQrjG`ZQo^ynCOhZVmlpyarAOxFGhRssOAS=sdTes[yDW?vWUx:ciQeeBqEuoDDuD_[uaqX<cvNmBQMuccekOIvKY@sGtuTyYwdIEq_emeb^UVV?vsiFiSesWsu_i^gEc]fOwsMohB?TQ]gHqrHqRDsc_iDaav^aHLOSIExdYv[EBLCBIwCH_ROau<MrOSgvmIk?tBSEEkGggV@;fUgdTMsHGXvkIxkIDGtTQuT;i`eFtexyKbVAtr[Iv[GNKC^XSlHYOmpPiNLMQlAjM@M`pMv=LIhreAWd\\t[PxBmWypquuL=ttLhkHmSngnqgukqylAo\\ammyg?G[y>tSHaZFpgx^sfpJY_[ft:FmUauVauXquXxmYxwcIwcAwbAn]p_dtGaXpaBlAEB=g^UxteU[[EZ;HlyIyaymUWeUguWiu_HvuToGgkEicIDZSXAsBA;eZ?ij;XOmG:mYPkeIEwdoWFCCQEgj;iN_w?ArlUREKxN[VHUvLOUj=D[SeR]XpuXqEGUGRb_UOicX?FTyTqMxTcBMain]E>QR[?DfusCCg=[VjghogD=KIuSIuGhkGB[cs_QXrKRCWVZSTLQGeOWnEW`[UEsemqGm=DuKs`AtJAD@IhlKIcgSI?HUIDN=V[EV;wTbuwtARfyCnuFBsTFkcKkWxCYsQwdQG@CDEoCXmE]yiMWTgqw^wXcIft=rjoggggwGYmqB@uda_X@MuvmxegweIu>AdZmUQ_T@edgmTLMi_iv_isGiSvCtB_fT;Vi=TyYHmSHRcVRKUZ_XXmt:[Es[Iv[bRQXiYsMMiZChC]dhQwQctZev^CRAACHgcGgXoeXKUd`MhgCW__XrODVuSauVakf`kdU[s?uEJ;RiIH=iBHyul;t\\cXWUhMaIvaXdAVJCHTgYweYFswrcGXOgncUteYv;E>qxpqXfKIJuCZ[BuSIukhkQsAQDkuc[KSQuh@oDAQB]QhUSBIIH`_t\\KiKEG__X=SB=cWgeWMUTM=EYUduSgBGBoEikGh;cdT=GN[RcQwjeUG[DbkDR]Icuc;meQgsVMYxAr_ETt[UFuSIusrAQvDroavlEQbxjBiWpTX<pWiuWY`mULl_HosexjtuFdu?aYChj`MXlML@tJBhUvml<DwLQqhAVRENUXN]TNJ<rwiyw]kflkrER=IXBUwXquXhWaIlt<kLitCAKTmJtdwh\\Qcak;TkelkxPWsDtJanm]V[\\kNem@itFmwjayjAxJLsNtvZIkkaq:PtCuWXulghR<tVNUmcUsaMnPXPSYObTLkEkNpOYxsYQqoUKTXjQqrwxTm\\OjDOQuTQutQyt[xQXYwnLtFHqD=XS@VvelYiY]Am<ey=EveErBuObXP`pn`@xBamf@NoixZAvZUXmUXeUWEXUvtvJMQCqvo@Y<Llk]TR\\LbMyhpoh\\OoxndLVLPu?xtBIjaQKpltJHrPAMVajgPScav_XqhDr^MPb]lBIJg@oN=K`]XlEyemv_lVvPtG`uYyuiUM;lPMEXOUyuYyvXKaATtDOFXwW@n;Qq:hl@LsV\\NZ`ly`M_MkKPMB]nL\\SytJYXwfaw^TVmdv;ET?`Wp]Xn]pqxpmtN@axDImrELDxn^\\xt\\NmLQUeWr`Uw<NXTq]=OO\\QCAWiiPOXVumYHXk?aOSHU_YOA]RhXwI@OWitMIXBpUklUTUSoyv\\=YDuTFpSEHWidPVMypAY=urfMYiuuAYtlhNMMyqMWQMWQ]S?ElOXJsQyPulbPVH=q_Yn^@P\\AMIAUqyT@qjahq]EjfEJU]tBitcQt]]sFpLy]XpHKRlm^Qv>UQvYWCivf]WEyMgTKcDUW@OWiXbhybPXaIO^@lJAUexL]QK=tN_@YWPtUlNAyVd@LdpQreY=aYleTu@x?elHiQahnS<TS\\sFEYghOS=UVLxRQvLloneeOvc]g\\ChpmVu<fvRvx>VvrglpOq\\AdB`cp@mbgjtGvhWqEioEwhHhy;xxEof_vykof@wfTVrmoi@wdOqb=?cFFfS`oOfyTFZOI\\Ifefpc\\PckVkq_viiuRGgJQwOP\\j>\\<y\\tqxIOsVq_UOewOvyGuqOfROyiPp:fdH@[Qoov^u\\GsKFklffm@qN^iWon>FdSIjaX]PPedqipIis@k>Gpr_iT_ahv`CF_gfr_F^gF`vYdL`ylfkQqyCitI>]mH[ca[CxtSAejVfYa]XQaU_wma_YwqBAeC`u_pe]goTannGyJqmBP_XOvJI^aW_M@hwWtnNoRI]OX^_V`lPfdYeOhmmVnfvrdgyuOZXYnyNcFnamOe^X`ZPh^`qLFvCIg@og:PylhqdN\\Dw]XYa=yafXjO_vChbS_ecgfmynkvh]yqDfpA@oPpyEXviYpngudg[xpZs^sXHkmg`gIgtGlA@uUirrvcfYRqCPQYa_XYKH?usC?hP=FWeEicGamH?KflCIQQGLAS][UFmXL?dZmfH]SwwrHyWXISPUE@mSEYbUEE`QCQ?DdAt=MdcsWxeFt_fX=vYEsWuv^]gn[bIKIC=giATTmFbeVBQsUWvT[g@Kvmuf@SvhqD<gUoSY@=gEECoQdTEuXutgGSgAbp_rogfHuSI]GMKf^ifmebH]DlCUAYrQgcASgNsTAtOs`UETrNxOj<OstXWXtmPl:YlfuydMo?MW]dLPxjc\\kFYqWaXWYmnUloAn?TpalX\\`XcIMDYPPytuTLF=S[<NJhwWdwsaYqEnJqTD<rd`OypTdMsKMQGHXwloehl<iXftO:hPphn]Xn=hQYQTIEw\\Al;aWhlovmTwllhPlBxnc@NBtTgaKbEsKlUpdT[=QO<XUQQlDkUTkLiVmhUWhUs`UeIxCIhD_oi@ca`r_PqV?e]Pci>lbhnFIwDgjYYuTQulv\\QIx_Q]bfmsAZTYuTQquPqDgjNPokOq\\F_W@eWgidhkDx[Zn[\\Aa?YpH^[aWgeW[WWal_Z^`em?fOHwfawfFeyqoroncv[eNgiXiOwpNpk[@uSacSGqqxpOXi?hdda[CF_mPpb>m_puKfggGpfilMY^DYkjV^npus?wn^roAkrNl?hovQeRpn@HrdGspdkQtOQy[_w:SuQYuUItKIEu;dmcdtkFa=S=SWSOSi]tksfesB_qjtLtfXXPXpW`XWinnMJ=EuWIuSQmeEQhisQtu_ltWHMhQnw<KoIOUhLAAR`PP`hogeogEqPqLslwLArXQWClV?`oAmRcaujxjA]jt\\PqPkZdU?YPSXJQTM<QlupoSUkSIsx`jTlV;=oe\\l<mXTQUkySqPRJLwMPw_DoU@sVMS@DxFARW=q?hnxHP<@NBLjZ<KcyPBiXE\\J;=L>DRJ\\Rca:B<?GW?FBKbZBDu^<@>\\<>>NCB<>K:KbbJ;cbJ;KNZZZD;KZB<:ZBNNbZBDJJJ_ZBJ_ZBJ>;>[\\<?>K;<<K;<<d>>;\\BZBNNbZNNbZBDJJJ_ZBJxlMyyKyqssIJnit`@O:<J:<j^PNaLNQENjDB5:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlIVEpRiotJS5CT1VORFNfSEVJR0hURzYjJCIlK0FGKi0lKUNISUxEUkVORzYi</Drawing-Root></Image></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8298" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L29" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">initial conditions:</Font></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="Ini" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="25.099601593625497%" captionalignment="0" showinput="true" captionposition="1" id="Table4" alignment="left" randomized="false" labelreference="L4684" showgroup="true" order="row"><Table-Column weight="55" separator="true"></Table-Column><Table-Column weight="38" separator="true"></Table-Column><Table-Column weight="96" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4685" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4678" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEqJkVsZW1lbnQ7RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEqJkVsZW1lbnQ7RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4679" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JVEiMUYnRjRGN0Y0RjdGNEY3LyUmY2xvc2VHUSJdRidGNEY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JVEiMUYnRjRGN0Y0RjdGNEY3LyUmY2xvc2VHUSJdRidGNEY3</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4676" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4677" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEqJkVsZW1lbnQ7RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEqJkVsZW1lbnQ7RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZFRi9GMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4682" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4683" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4680" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4681" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="3"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4686" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4650" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8294" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">The <Font bold="true">basic reproduction ratio</Font> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6RjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6RjVGNw==</Equation><Font family="Arial">, for the classic SIR model as defined above, can be derived as: </Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8293" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8296" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8295" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==</Equation><Font subscript="true" family="Arial" italic="true"> </Font><Font family="Arial">is the number of secondary infections that is produced by one primary infection in a wholly susceptible population. Only when </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==</Equation><Font family="Arial" italic="true"> > </Font><Font family="Arial">1<Font italic="true">, </Font>does<Font italic="true"> </Font>an epidemic occurs. <Font encoding="UTF-8">1/\316\263</Font> is the average infectious period. Setting equations (1)-(3) equal to zero and solving these for the equilibrium solutions of </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1JI21vR0YkNi5RIixGJ0YyRkAvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GQzYuUSJ+RidGMkZARkYvRklGNEZKRkxGTkZQRlJGVC9GWEZWLUYsNiZRIklGJ0YvRjJGNUY4LUYsNiNRIUYnRjJGQA==">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</Equation><Font family="Arial"> and </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1GLDYjUSFGJ0YyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1GLDYjUSFGJ0YyRkA=</Equation> <Font family="Arial">yields an equilibrium whenever </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIj1GJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVi1JI21uR0YkNiRRIzAuRidGQEY9RkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIj1GJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVi1JI21uR0YkNiRRIzAuRidGQEY9RkA=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8310" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8308" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Notes: (1) The basic reproduction ratio </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1</Equation><Font family="Arial">is often ambiguously denoted </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiZRIjBGJ0YvRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R0Y6">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiZRIjBGJ0YvRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R0Y6</Equation><Font family="Arial">, leading to potential confusion with </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGQUYyRkFGQQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGQUYyRkFGQQ==</Equation><Font family="Arial">, which is the initial value of the recovered function </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==</Equation><Font family="Arial">. (2) Not all combinations of infection and removal rates within the ranges of the interactive model below will match a real existing infectious disease. (3)The SIR model exists in different flavors and parametrizations, the model as presented here follows Bloomfield[2009].</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8290" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">Interactive SIR model: Infectious Disease Nonlinear Compartment Model 1</Font></Text-field></Title><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="100%" captionalignment="0" showinput="true" captionposition="1" id="Table7" alignment="left" randomized="false" labelreference="L7346" showgroup="true" order="row"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="96.89922480620154%" captionalignment="0" showinput="true" captionposition="1" id="Table5" alignment="left" randomized="false" labelreference="L7362" showgroup="true" order="row"><Table-Column weight="311" separator="true"></Table-Column><Table-Column weight="314" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7365" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" family="Arial">Infection (transmission) rate (\316\262)</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7363" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" family="Arial">Removal rate (\316\263)</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7366" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-Slider id="Slider_beta" tooltip="Infection rate" lower-bound="0.0" upper-bound="2.0" control-position="1.6603774" major-tick-spacing="0.25" minor-ticks="10.0" inputenabled="true" visible="true" filled="true" orientation="false" show-labels="true" show-ticks="true" snap-to-ticks="false" continuous-update="true" pixel-width="252" pixel-height="47" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SIRclassic:-MakePlotSIRsol() ;
</MapleCode></EC-Slider><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7364" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-Slider id="Slider_gamma" tooltip="Removal rate" lower-bound="0.1" upper-bound="0.8" control-position="0.4303738" major-tick-spacing="0.1" minor-ticks="10.0" inputenabled="true" visible="true" filled="true" orientation="false" show-labels="true" show-ticks="true" snap-to-ticks="false" continuous-update="true" pixel-width="254" pixel-height="49" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SIRclassic:-MakePlotSIRsol() ;</MapleCode></EC-Slider><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="2"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7367" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-Plot id="Plot1" visible="true" pixel-width="700" pixel-height="400" continuous="false" delay="100" fillcolor="[255,255,255]" clickx="1.7976931348623157E308" clicky="1.7976931348623157E308" hoverx="0.0" hovery="0.0" startx="65.39835867772662" starty="0.3228038578426643" endx="0.0" endy="0.0" clickdefault="false" labelreference="L232" drawcaption="false" captionposition="1" captionalignment="0" show-border="true"><Plot height="-1.0" type="two-dimensional" width="-1.0" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="true">6--%'CURVESG6%7ax7$$""!!""$"%&***!"%7$$"+D]gd_!#5$"1nZZL/()))**!#;7$$"+05_^5!"*$"1prmZ3>x**!#;7$$",vS#)*3:!#5$"1Dx*yCG(e**!#;7$$"*"QWm>!")$"0LjBc3l#**!#:7$$"2.++5+24[#!#;$"1^&=;3d6')*!#;7$$"+#>q`*H!"*$"1sk#fW'zS(*!#;7$$"+zNC8N!"*$"1O%)3**)o8_*!#;7$$"+mp6JS!"*$"1\lXd$pm8*!#;7$$"1,+]"**Gla%!#:$"1oWbLii/&)!#;7$$"20++q,T>1&!#;$"1kO_$)ozbv!#;7$$"1,+]zu'3I&!#:$"1#fu&fh;4q!#;7$$"+URzRb!"*$"1W0C0'G&4k!#;7$$",XS?(yd!#5$"1l;g=cNwd!#;7$$"+nok<g!"*$"1,*3!y<^L^!#;7$$"2&****\z8/li!#;$"21FAAIhQ[%!#<7$$"+#*eV7l!"*$"1UZuTO&Q(Q!#;7$$"1,+]//$)fn!#:$"14F<RKV?L!#;7$$"+<\A2q!"*$"2`Ftr2/F$G!#<7$$"+Nk$*=v!"*$"1w7LtVDN?!#;7$$"1*****H&zkI!)!#:$"2;EG,O"*Q["!#<7$$",bS=2a)!#5$"2_f^q8>N6"!#<7$$"+e))y]!*!"*$"1`A@/]nS')!#<7$$"+<H,55!")$"2;Jd%o)R4q&!#=7$$"+p)QC5"!")$"2Ckk!zfFzV!#=7$$"+*f)[17!")$"16!)*p[8@b$!#<7$$"+ob'4J"!")$"0jc9m.$zI!#;7$$"+([[;T"!")$"0>utF9]!G!#;7$$"+B#yI]"!")$"2_n&=3r[XE!#=7$$"+Aqz6;!")$"2&fmM8A-BD!#=7$$"+0h*Qq"!")$"2:/571*[bC!#=7$$"+M#H5"=!")$"1OGMo1Q.C!#<7$$"+1-'e!>!")$"2`]XytfGP#!#=7$$"+7[!*4?!")$"2(*4#Gb]Q]B!#=7$$"+"))z*3@!")$"2L_qrPBhL#!#=7$$"+AVN7A!")$"1@"*G3'ehK#!#<7$$"+HVG2B!")$"29p85H")*>B!#=7$$"+n"z'4C!")$"2t?]G'3Y:B!#=7$$"+D'Qg^#!")$"2l?G'[`M7B!#=7$$"+Y[i3E!")$"2O(3fcT^5B!#=7$$"+-0i3F!")$"1u`E]z:4B!#<7$$"+)zD>"G!")$"29Z7wP<#3B!#=7$$"+w)*)H"H!")$"2'QS)\J,wI#!#=7$$"+pXx5I!")$"2moE7*z>2B!#=7$$"+)zZ$>J!")$"2Cu<Ut)*oI#!#=7$$"+uc!p@$!")$"2NbYS\>nI#!#=7$$"+H&p5K$!")$"2MZ9Id!f1B!#=7$$"+kuX:M!")$"1yuYo9^1B!#<7$$"+2%['=N!")$"1%4))eu_kI#!#<7$$"+WIu:O!")$"2OZn;W:kI#!#=7$$"+:\B<P!")$"2.(4T0!*Q1B!#=7$$"*xhk"Q!"($"2DY.uhrjI#!#=7$$"+#4V.#R!")$"2lWw8KfjI#!#=7$$"+^JR?S!")$"1li%QV^jI#!#<7$$"+(y3F7%!")$"2(f!3)4gM1B!#=7$$"+*>xTA%!")$"1Lp]kBM1B!#<7$$"*8;uJ%!"($"16Zq3,M1B!#<7$$"+o%yUU%!")$"23LO5QQjI#!#=7$$"+<u&)>X!")$"2n`q?JPjI#!#=7$$"+6Xw@Y!")$"2$>,8OlL1B!#=7$$"+/EI>Z!")$"16[XbgL1B!#<7$$"*71w#[!"($"2m0^:rNjI#!#=7$$"+3!*Q@\!")$"2(3B"\\NjI#!#=7$$"+CM$y-&!")$"2$Qo)3KNjI#!#=7$$"+af%[7&!")$"2d(>.@_L1B!#=7$$"+:C'4B&!")$"1-TQg^L1B!#<7$$"+vH_A`!")$"1@6-J^L1B!#<7$$"+l(*zEa!")$"2/fnB5NjI#!#=7$$"+'*f_Fb!")$"1#[V)y]L1B!#<7$$"+Dk=Gc!")$"1_K5i]L1B!#<7$$"+VlZGd!")$"1_h4`]L1B!#<7$$"+\R#[#e!")$"1&>')40NjI#!#<7$$"+Y!y*Gf!")$"2cIPM0NjI#!#=7$$"+`WCGg!")$"1340d]L1B!#<7$$"20++In<F8'!#:$"1"yKQ1NjI#!#<7$$"+%4"HFi!")$"1$Q(Rr]L1B!#<7$$"+GC"=L'!")$"2by)Qz]L1B!#=7$$"+ac#>V'!")$"2QM2`3NjI#!#=7$$")_zJl!"'$"1B=m)3NjI#!#<7$$"+H$4hj'!")$"1#Q$3*3NjI#!#<7$$"*X'=Kn!"($"2(*pUo3NjI#!#=7$$"+jDeIo!")$"2C;kD3NjI#!#=7$$"+kNARp!")$"2)Re$o2NjI#!#=7$$"+#4*ePq!")$"0=f)o]L1B!#;7$$"+pi=Qr!")$"0YY_.NjI#!#;7$$"+25\Ss!")$"2c[15)\L1B!#=7$$"+p*GXL(!")$"1j-:B\L1B!#<7$$"+"RqZV(!")$"2_,/<'[L1B!#=7$$"+p([U`(!")$"2'\X*z![L1B!#=7$$"+6(f1k(!")$"1QElkZL1B!#<7$$"1******eFcMx!#9$"0;p>uMjI#!#;7$$"+#Q2H%y!")$"1W\,OZL1B!#<7$$"1,++^+oSz!#9$"2&RmF\ZL1B!#=7$$"1,++(*4UP!)!#9$"2c,e"yZL1B!#=7$$"+#f[99)!")$"1:u-B[L1B!#<7$$"((*eC)!"&$"2_#*ol([L1B!#=7$$"+'eH4M)!")$"1F)[e#\L1B!#<7$$"1*****4(*\=W)!#9$"2Q70,(\L1B!#=7$$"+.%Q.a)!")$"2yg'y:]L1B!#=7$$"+.45Z')!")$"2#))Q*)p]L1B!#=7$$"+[,[R()!")$"1Zo]5^L1B!#<7$$"*2"eX))!"($"1j"yB9NjI#!#<7$$"+9:KX*)!")$"2n[zX:NjI#!#=7$$"+u&)4W!*!")$"2;_0-:NjI#!#=7$$"+7U&H9*!")$"19plL^L1B!#<7$$"+12yV#*!")$"2dH>C6NjI#!#=7$$")^l]$*!"'$"28i@&*3NjI#!#=7$$"1*****RX['[%*!#9$"14CIl]L1B!#<7$$"+x/QX&*!")$"2<%oiV]L1B!#=7$$"+=ay['*!")$"1b0(o-NjI#!#<7$$"+b_'>v*!")$"1kR!*=]L1B!#<7$$"+'GvX%)*!")$"2$e,M>]L1B!#=7$$"+Y&yU&**!")$"22&f<F]L1B!#=7$$"+:tg/5!"($"2e2$eO]L1B!#=7$$"+CPM:5!"($"1^qH]]L1B!#<7$$"+(e!fD5!"($"2&4w&\2NjI#!#=7$$"+:)RZ."!"($"1%H745NjI#!#<7$$"+z!H]/"!"($"2Z'=\G^L1B!#=7$$"+ZlQb5!"($"1M9z\^L1B!#<7$$"+(y%pl5!"($"2Gt_9;NjI#!#=7$$"+Y=Dv5!"($"2v+eE;NjI#!#=7$$"+Fw9&3"!"($"2["Hja^L1B!#=7$$"+d=Q&4"!"($"1(*4eQ^L1B!#<7$$"+mKe06!"($"2E@1(=^L1B!#=7$$"+pm2;6!"($"1b#>%)4NjI#!#<7$$"+k#>`7"!"($"2Q.'Hc]L1B!#=7$$"+QUsN6!"($"2KL$\%)\L1B!#=7$$"+M><Y6!"($"2lbg`!\L1B!#=7$$"+E-Cc6!"($"2)R6%p$[L1B!#=7$$"+*>$Ql6!"($"2.m)4!zMjI#!#=7$$"*3bi<"!"'$"2tv*3gZL1B!#=7$$"+()\Y&="!"($"2EN5)eZL1B!#=7$$"+,$yh>"!"($"2:DYRyMjI#!#=7$$"+(Rhc?"!"($"1rU`D[L1B!#<7$$"+fe1;7!"($"1;)eI)[L1B!#<7$$"+lL(fA"!"($"2M.Zr$\L1B!#=7$$"*"3JO7!"'$"1*G8g+NjI#!#<7$$"+6Q!eC"!"($"2(4_31^L1B!#=7$$"+%HVgD"!"($"2jW]PANjI#!#=7$$"*CzmE"!"'$"2=&p5I`L1B!#=7$$"+iy$fF"!"($"21&)*Q%RNjI#!#=7$$"+Gu$fG"!"($"2do#eDaL1B!#=7$$"+dzE'H"!"($"1h!4WTNjI#!#<7$$"+lVP18!"($"2)ovpm`L1B!#=7$$"+NG:;8!"($"2O&zj)HNjI#!#=7$$"+d,,F8!"($"0@,9ANjI#!#;7$$"+WfwO8!"($"2Y))>#[^L1B!#=7$$"*L#=Z8!"'$"1*\.$e]L1B!#<7$$"+C6ic8!"($"0^hZ)\L1B!#;7$$"+=-%pO"!"($"2)>i"o#\L1B!#=7$$"+#o\mP"!"($"1`;U+\L1B!#<7$$"+p))z'Q"!"($"1bRg-\L1B!#<7$$"+a:s'R"!"($"2o%fMG\L1B!#=7$$"+(o4rS"!"($"2/SVq'\L1B!#=7$$"+#p9rT"!"($"1V`F.]L1B!#<7$$"+ciMF9!"($"2%z[2Z]L1B!#=7$$"+(4$\P9!"($"2l.*G)3NjI#!#=7$$"**p"oW"!"'$"2kPuu6NjI#!#=7$$"+CK]d9!"($"278fh8NjI#!#=7$$"+>61n9!"($"2DHf&Q^L1B!#=7$$"+H=Dx9!"($"1Ac]G^L1B!#<7$$"+Qc+(["!"($"1l&Q>6NjI#!#<7$$"+*)f$y\"!"($"0,6D4NjI#!#;7$$"+yU@2:!"($"1;m4n]L1B!#<7$$"*sey^"!"'$"2u&[<M]L1B!#=7$$"+s*fv_"!"($"1r?=2]L1B!#<7$$"+>;<Q:!"($"2&)pui)\L1B!#=7$$"+vwKZ:!"($"1m>$y(\L1B!#<7$$"+``vd:!"($"14()ez\L1B!#<7$$"+wz#yc"!"($"1Wa8"*\L1B!#<7$$"*-%*yd"!"'$"16.\3]L1B!#<7$$"+KI#ze"!"($"1Tl%e-NjI#!#<7$$"+sxb(f"!"($"1"\zd0NjI#!#<7$$"+"=tzg"!"($"2`UvV5NjI#!#=7$$"+B)**yh"!"($"2wu))Q:NjI#!#=7$$"+WrMG;!"($"0[$**)>NjI#!#;7$$"+([/yj"!"($"2L+LuANjI#!#=7$$"*ic#[;!"'$"2%>CBT_L1B!#=7$$"+UzEe;!"($"2'RmAO_L1B!#=7$$"+(*[Do;!"($"2<//b@NjI#!#=7$$"*J'oy;!"'$"1"G;C=NjI#!#<7$$"+BSH)o"!"($"2:p8"\^L1B!#=7$$"+MO8)p"!"($"1(H*H7^L1B!#<7$$"+Lx**3<!"($"1r_2P]L1B!#<7$$"+'GM)=<!"($"1X\%e&\L1B!#<7$$"+0S*)G<!"($"2cTM%y[L1B!#=7$$"+yW7R<!"($"2&H]5>[L1B!#=7$$"+u#G&[<!"($"2M%*p"*yMjI#!#=7$$"+<Cbe<!"($"0FzhyMjI#!#;7$$"+a-]o<!"($"27`54"[L1B!#=7$$"+[89z<!"($"2'=pDg[L1B!#=7$$"+`;`)y"!"($"22mJB"\L1B!#=7$$"+:hO*z"!"($"2G8L&p\L1B!#=7$$"+$QV"4=!"($"13/&H/NjI#!#<7$$"+xu")==!"($"2c"HDC^L1B!#=7$$"+P-AH=!"($"2V)*R=?NjI#!#=7$$"+x]mR=!"($"1biTb_L1B!#<7$$"+O$o"\=!"($"2&)QSlFNjI#!#=7$$"+v.Ef=!"($"29m$[p_L1B!#=7$$"+=#4"p=!"($"2W6&RQ_L1B!#=7$$"+oayz=!"($"1p.H!>NjI#!#<7$$"+#RB!*)=!"($"10xG]^L1B!#<7$$"+%[L'**=!"($"21`?K4NjI#!#=7$$"+Gvg4>!"($"2bffe.NjI#!#=7$$"+N_[>>!"($"2._&o()\L1B!#=7$$"+*zq$H>!"($"27;.d&\L1B!#=7$$"+[MXR>!"($"2Xb#RV\L1B!#=7$$"+()39]>!"($"1[/$=&\L1B!#<7$$"+B-%*f>!"($"21P:P(\L1B!#=7$$"+DMhp>!"($"1^qe**\L1B!#<7$$"+>R&*z>!"($"1Y+%)H]L1B!#<7$$"+->F!*>!"($"2:'*3+2NjI#!#=7$$"%+?!""$"2C$=G2^L1B!#=-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q,Susceptible6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6%7[y7$$""!!""$"#]!"&7$$"+D]gd_!#5$"1lvCQ_[R&*!#>7$$"+05_^5!"*$"1V*GNta'==!#=7$$",vS#)*3:!#5$"2$Q$o*H9#[=$!#>7$$"*"QWm>!")$"1oAYnv#oc&!#=7$$"2.++5+24[#!#;$"2CEK*fm)*Q5!#=7$$"+#>q`*H!"*$"2VZtf@wU#>!#=7$$"+zNC8N!"*$"1TQJ2%yz_$!#<7$$"+mp6JS!"*$"1Ma$)pB&fI'!#<7$$"-vyH#))G%!#6$"0l/dKihH)!#;7$$"1,+]"**Gla%!#:$"2U04dVFo2"!#<7$$"1,+D/]B/[!#:$"2G@AA%eVu8!#<7$$"20++q,T>1&!#;$"1NS5#zK!><!#;7$$"1,+]zu'3I&!#:$"2c.33s752#!#<7$$"+URzRb!"*$"2Z4*)4hP)QC!#<7$$",XS?(yd!#5$"2N.$>ymS-G!#<7$$"+nok<g!"*$"21WICvN%RJ!#<7$$"2&****\z8/li!#;$"0)R)pJr$QM!#:7$$"+#*eV7l!"*$"2;q.6"\LpO!#<7$$"1,+]//$)fn!#:$"1^-::K=BQ!#;7$$"+<\A2q!"*$"1_DDWE8**Q!#;7$$"+Nk$*=v!"*$"2$>W;]?jRQ!#<7$$"1*****H&zkI!)!#:$"0DxtlP?d$!#:7$$"-DzJo&G)!#6$"2(\7K_::$R$!#<7$$",bS=2a)!#5$"2vi!pe+8)>$!#<7$$"-vJOv&z)!#6$"1/d*G)R1&*H!#;7$$"+e))y]!*!"*$"2L=i?Tn,z#!#<7$$"+OR78$*!"*$"1lPqqyK#e#!#;7$$"+9!fad*!"*$"2,HOmua4Q#!#<7$$"+#4%zP)*!"*$"22_tzIJ%)=#!#<7$$"+<H,55!")$"2iA&*HY[i+#!#<7$$"+$*eAc5!")$"2[:"3ADq7<!#<7$$"+p)QC5"!")$"2)HjopSxa9!#<7$$"2,++StjW:"!#:$"26a_TQx^?"!#<7$$"+*f)[17!")$"1:!=QTR([**!#<7$$",N3F(e7!"*$"1K_/"R<V=)!#<7$$"+ob'4J"!")$"11:x&)>7>n!#<7$$"+([[;T"!")$"1d&y14%=vX!#<7$$"+B#yI]"!")$"2C;GF8*)p@$!#=7$$"+Aqz6;!")$"2N=*fpO*36#!#=7$$"+0h*Qq"!")$"2CfR_Eq^Z"!#=7$$"+M#H5"=!")$"1<TVII+8(*!#=7$$"+1-'e!>!")$"1wouF]Z0n!#=7$$"+7[!*4?!")$"1"\&e1-ZjW!#=7$$"+"))z*3@!")$"2BG6dO1&GI!#>7$$"+AVN7A!")$"28C4q2d,-#!#>7$$"+HVG2B!")$"22HCzrzER"!#>7$$"+n"z'4C!")$"14z*3t8MK*!#>7$$"+D'Qg^#!")$"1#o<Nhx\9'!#>7$$"+Y[i3E!")$"2Yz0v*oguU!#?7$$"+-0i3F!")$"1i\+K[L))G!#>7$$"+)zD>"G!")$"28W(zgjQE>!#?7$$"+w)*)H"H!")$"29f1i%)*3'H"!#?7$$"+pXx5I!")$"0KrmxnM$))!#>7$$"+)zZ$>J!")$"1<#y.3*\qd!#?7$$"+uc!p@$!")$"1#f-F7Cd$R!#?7$$"+H&p5K$!")$"1xMv9u$fh#!#?7$$"+kuX:M!")$"1&3j$R@41=!#?7$$"+2%['=N!")$"171j<&*)[?"!#?7$$"+WIu:O!")$".[a]-'H#)!#=7$$"+:\B<P!")$"2b%*\X*R&H_&!#A7$$"*xhk"Q!"($"2$4Z)y"4oUP!#A7$$"+#4V.#R!")$"1CS&zmWP[#!#@7$$"+^JR?S!")$"2ubC6#*ohn"!#A7$$"+(y3F7%!")$"2#R'[-H?37"!#A7$$"+*>xTA%!")$"1*fd1p+fZ(!#A7$$"*8;uJ%!"($"1sqWH1Dm^!#A7$$"+o%yUU%!")$"28x\[tRtR$!#B7$$"+<u&)>X!")$"/O(pOeGI#!#?7$$"+6Xw@Y!")$"2C[-wY&R3:!#B7$$"+/EI>Z!")$"22FzwIWi,"!#B7$$"*71w#[!"($"1(4-/?-8k'!#B7$$"+3!*Q@\!")$"1r')\%y,KU%!#B7$$"+CM$y-&!")$"2acH$H`STE!#C7$$"+af%[7&!")$"20#HP")z,>;!#C7$$"+:C'4B&!")$"1/L'*Q7e!)**!#C7$$"+vH_A`!")$"21R(o?^<up!#D7$$"+l(*zEa!")$"1249YHUSS!#C7$$"+'*f_Fb!")$"2[#ywzu&=j"!#D7$$"+Dk=Gc!")$!1h:2]rq7#)!#E7$$"+VlZGd!")$!1&*=<%zRV+"!#C7$$"+\R#[#e!")$!2F!3#fbu.A"!#D7$$"+Y!y*Gf!")$!1c*QrSXTp*!#D7$$"+`WCGg!")$!1&GnK?&G%*f!#D7$$"20++In<F8'!#:$"1ioD@d![\*!#E7$$"+%4"HFi!")$"1i-ynAm%p)!#D7$$"+GC"=L'!")$"2zud`8$o(o"!#D7$$"+ac#>V'!")$"2'f&evLnOH#!#D7$$")_zJl!"'$"14Sk9E7PE!#C7$$"+H$4hj'!")$"2Yg%fOWG!o#!#D7$$"*X'=Kn!"($"2;'\$p+n3X#!#D7$$"+jDeIo!")$"2w%=r/%*z7?!#D7$$"+kNARp!")$"2$Qu[aDHE9!#D7$$"+#4*ePq!")$"04sTp_e4'!#C7$$"+pi=Qr!")$!1Lrv$pB>$G!#C7$$"+25\Ss!")$!1ewomxR&Q)!#C7$$"+p*GXL(!")$!2#fLL()H"4V"!#C7$$"+"RqZV(!")$!2N$[6FN/g?!#C7$$"+p([U`(!")$!2%QtJ6&f*4E!#C7$$"+6(f1k(!")$!2/ct$*HDP0$!#C7$$"1******eFcMx!#9$!1c0BBa(fG$!#B7$$"+#Q2H%y!")$!29Qx&p'RpM$!#C7$$"1,++^+oSz!#9$!1syD`x:6K!#B7$$"1,++(*4UP!)!#9$!2szhEX]a"H!#C7$$"+#f[99)!")$!2G_[ATYgX#!#C7$$"((*eC)!"&$!1$Gp#**4&y!>!#B7$$"+'eH4M)!")$!2.&y2(p)G.9!#C7$$"1*****4(*\=W)!#9$!0*)\Y08;]*!#B7$$"+.%Q.a)!")$!1u'p+h7W#[!#C7$$"+.45Z')!")$"1H9,V:$[:(!#D7$$"+[,[R()!")$"2vX/YVHP([!#D7$$"*2"eX))!"($"1zzz2r$p8)!#C7$$"+9:KX*)!")$"1Y@s&e$='Q*!#C7$$"+u&)4W!*!")$"11%)Q!=H$Q*)!#C7$$"+7U&H9*!")$"1`MKpz%RC(!#C7$$"+12yV#*!")$"1//_x&z%p]!#C7$$")^l]$*!"'$"1tjuXH0DF!#C7$$"1*****RX['[%*!#9$"2&e)Rnv%=`C!#E7$$"+x/QX&*!")$!1*f_/<!)R(>!#C7$$"+=ay['*!")$!21.<m=4'*o$!#D7$$"+b_'>v*!")$!0$)e'f#)G0X!#B7$$"+'GvX%)*!")$!1rZX=6jgW!#C7$$"+Y&yU&**!")$!2F,4ZC^$eO!#D7$$"+:tg/5!"($!2&Hgmn]=&p#!#D7$$"+CPM:5!"($!2bNKbJ]5H"!#D7$$"+(e!fD5!"($"22q(>#=vQB"!#D7$$"+:)RZ."!"($"1oUCsAI"*Q!#C7$$"+z!H]/"!"($"1v2.Ch4:n!#C7$$"+ZlQb5!"($"19dZNq*e*))!#C7$$"+(y%pl5!"($"2P<J$[h)*35!#C7$$"+Y=Dv5!"($"2e06sBE8-"!#C7$$"+Fw9&3"!"($"1`d#3Z"f"R*!#C7$$"+d=Q&4"!"($"1o7Adl2[x!#C7$$"+mKe06!"($"2m;2&=0:8d!#D7$$"+pm2;6!"($"2bn%yhi-OO!#D7$$"+k#>`7"!"($!0N.TpX%on!#C7$$"+QUsN6!"($!0l&zd*3&G!)!#B7$$"+M><Y6!"($!1XigQ"oIh"!#B7$$"+E-Cc6!"($!1;s+j\f8B!#B7$$"+*>$Ql6!"($!1[>'pR-Kz#!#B7$$"*3bi<"!"'$!2c1J-mc/5$!#C7$$"+()\Y&="!"($!1Q'3fBeN6$!#B7$$"+,$yh>"!"($!1<"[%=>?cG!#B7$$"+(Rhc?"!"($!2x?6;z'RIC!#C7$$"+fe1;7!"($!2(>KX:>UT=!#C7$$"+lL(fA"!"($!2Qe5$Q$HwG"!#C7$$"*"3JO7!"'$!1,`t(Rj_#e!#C7$$"+6Q!eC"!"($"10`Kx1%3U%!#C7$$"+%HVgD"!"($"1%4e)zq#ok"!#B7$$"*CzmE"!"'$"1PR&)G5yNF!#B7$$"+iy$fF"!"($"12'z0q_RR$!#B7$$"+Gu$fG"!"($"2l>)fI;K8P!#C7$$"+dzE'H"!"($"1BYEv)4*)f$!#B7$$"+lVP18!"($"1l[>vlR5J!#B7$$"+NG:;8!"($"2'zC@)3YNT#!#C7$$"+d,,F8!"($"2F?#3_ttA;!#C7$$"+WfwO8!"($"1//L,ubM()!#C7$$"*L#=Z8!"'$!1h7"4Yfqr%!#D7$$"+C6ic8!"($!0#Q!G9_9+)!#B7$$"+=-%pO"!"($!2%H3QQ:V$R"!#C7$$"+#o\mP"!"($!1ajk-5oj;!#B7$$"+p))z'Q"!"($!1XJz6=MT;!#B7$$"+a:s'R"!"($!2yHL#f>yx8!#C7$$"+(o4rS"!"($!1vw)zBMd")*!#C7$$"+#p9rT"!"($!1Ow&)z:01h!#C7$$"+ciMF9!"($!2LKOm7Q:i"!#D7$$"+(4$\P9!"($"1#)y'3Uk#)f#!#C7$$"**p"oW"!"'$"1&>ax%oY'e&!#C7$$"+CK]d9!"($"1=`vd%Q&*\(!#C7$$"+>61n9!"($"1E9B5QFXx!#C7$$"+H=Dx9!"($"0#)*>$\%*er'!#B7$$"+Qc+(["!"($"2D(zbF9j>]!#D7$$"+*)f$y\"!"($"21qz"[z\II!#D7$$"+yU@2:!"($"1d"RA7FRG%!#D7$$"*sey^"!"'$!1y!H7gpB%H!#C7$$"+s*fv_"!"($!1m7b%>$31d!#C7$$"+>;<Q:!"($!1YX*34Jn%y!#C7$$"+vwKZ:!"($!0ZL!=@;6()!#B7$$"+``vd:!"($!1/=Tz0IJ&)!#C7$$"+wz#yc"!"($!1Tu*yCq!\t!#C7$$"*-%*yd"!"'$!1RF*3'3;sb!#C7$$"+KI#ze"!"($!1#R'3p"3^z$!#C7$$"+sxb(f"!"($!1w_+6Dc.t!#D7$$"+"=tzg"!"($"1Vbf(3Z_C%!#C7$$"+B)**yh"!"($"1'\a<hxZJ*!#C7$$"+WrMG;!"($"2a-!>w@H$R"!#C7$$"+([/yj"!"($"2U?bT&eZ%o"!#C7$$"*ic#[;!"'$"2(fN]MJwD=!#C7$$"+UzEe;!"($"13C">04Xx"!#B7$$"+(*[Do;!"($"22"3d&zMBc"!#C7$$"*J'oy;!"'$"2;Q6eBdNA"!#C7$$"+BSH)o"!"($"1yJQ;t!e#))!#C7$$"+MO8)p"!"($"1&yNVc)[c]!#C7$$"+Lx**3<!"($!1k='ymqak#!#C7$$"+'GM)=<!"($!2(yC>4*Ri4"!#C7$$"+0S*)G<!"($!2tv$oWP#)))=!#C7$$"+yW7R<!"($!2M3lPF"G'\#!#C7$$"+u#G&[<!"($!2A&p/2-y-G!#C7$$"+<Cbe<!"($!2lz"[pVSLG!#C7$$"+a-]o<!"($!1%H>$3B>!e#!#B7$$"+[89z<!"($!2%)QX`C`\2#!#C7$$"+`;`)y"!"($!1*f61ox<a"!#B7$$"+:hO*z"!"($!1b6&>A'3h&*!#C7$$"+$QV"4=!"($!1$[+K/(3W?!#C7$$"+xu")==!"($"1-?6B*e-G'!#C7$$"+P-AH=!"($"2y&*HT5=CU"!#C7$$"+x]mR=!"($"1RA&Gso4(>!#B7$$"+O$o"\=!"($"2#pwol&\s=#!#C7$$"+v.Ef=!"($"2o-ZP3$*\6#!#C7$$"+=#4"p=!"($"27-oqO"o'z"!#C7$$"+oayz=!"($"2:Ja4^YTI"!#C7$$"+#RB!*)=!"($"0P150*pX*)!#B7$$"+%[L'**=!"($"2uyD]ehF5$!#D7$$"+Gvg4>!"($!2C(zmuIDqF!#D7$$"+N_[>>!"($!17#))\ldEq(!#C7$$"+*zq$H>!"($!21Ju?vCx4"!#C7$$"+[MXR>!"($!1R,wJ7xB7!#B7$$"+()39]>!"($!2ZDWw]!QP6!#C7$$"+B-%*f>!"($!11***zK#4L"*!#C7$$"+DMhp>!"($!1yXaHs<%['!#C7$$"+>R&*z>!"($!2-+)3>%emQ$!#D7$$"+->F!*>!"($"1#GY(*fd7E(!#D7$$"%+?!""$"1XdV'z!RUX!#C-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q)Infected6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7^x7$$""!!""$""!!""7$$"+05_^5!"*$"2(z@a(*\gAY!#?7$$",vS#)*3:!#5$"14Hf-y`B%*!#>7$$"*"QWm>!")$"2<s/i>;By"!#>7$$"2.++5+24[#!#;$"2O`A)Q_U%\$!#>7$$"+#>q`*H!"*$"1x!=wC$fxm!#=7$$"+zNC8N!"*$"2#3=!=gK$e7!#=7$$"+mp6JS!"*$"2O3*fbSNFB!#=7$$"1,+]"**Gla%!#:$"1'zktIja=%!#<7$$"20++q,T>1&!#;$"0-BPC.<D(!#;7$$"+URzRb!"*$"2XOqPyL;:"!#<7$$"+nok<g!"*$"2#e1cpC0F<!#<7$$"+#*eV7l!"*$"2tb^rW6oX#!#<7$$"+<\A2q!"*$"1vTdyK;oK!#;7$$"+Nk$*=v!"*$"2tI/ld8^7%!#<7$$"1*****H&zkI!)!#:$"21\%\#)42W\!#<7$$",bS=2a)!#5$"0ydU!3N)o&!#:7$$"+e))y]!*!"*$"1'f;v3ldM'!#;7$$"+9!fad*!"*$"19$e(=06Hp!#;7$$"+<H,55!")$"00f,bdOU(!#:7$$"+$*eAc5!")$"1=iu%*\*Gz(!#;7$$"+p)QC5"!")$"0@2CL)H2")!#:7$$"+*f)[17!")$"/%=*4Z"*\')!#97$$"+ob'4J"!")$"1#>x_Vd,-*!#;7$$"+([[;T"!")$"1JZ>j,)>E*!#;7$$"+B#yI]"!")$"1D'3fP_PT*!#;7$$"+Aqz6;!")$"0U0<T3m`*!#:7$$"+0h*Qq"!")$"0/bt1Mpg*!#:7$$"+M#H5"=!")$"1#QhG!>`i'*!#;7$$"+1-'e!>!")$"0*z$fFfcp*!#:7$$"+7[!*4?!")$"1RfS#zE.s*!#;7$$"+"))z*3@!")$"0%ei)f-ht*!#:7$$"+AVN7A!")$".,%oD=Z(*!#87$$"+HVG2B!")$"0R>P2vSv*!#:7$$"+n"z'4C!")$"1$3%)**\I"f(*!#;7$$"+D'Qg^#!")$"1nO_([?Ew*!#;7$$"+Y[i3E!")$"14MWxRnk(*!#;7$$"+-0i3F!")$"1j99qe>m(*!#;7$$"+)zD>"G!")$"1fz(e(=Dn(*!#;7$$"+w)*)H"H!")$"1%Rb'yP%zw*!#;7$$"+pXx5I!")$"1o'*4aoRo(*!#;7$$"+)zZ$>J!")$"0>qm2L(o(*!#:7$$"+uc!p@$!")$"1zI=yW$*o(*!#;7$$"+H&p5K$!")$"1#3d*[$z!p(*!#;7$$"+kuX:M!")$"1@$RRCo"p(*!#;7$$"+2%['=N!")$"1N%fkBM#p(*!#;7$$"+WIu:O!")$"10#3)fhFp(*!#;7$$"+:\B<P!")$"1j*=*peIp(*!#;7$$"*xhk"Q!"($"1"[]9TD$p(*!#;7$$"+#4V.#R!")$"0o:/BR$p(*!#:7$$"+^JR?S!")$"1nh#\4[$p(*!#;7$$"+(y3F7%!")$"1(H;3>a$p(*!#;7$$"+*>xTA%!")$"1@'[wGe$p(*!#;7$$"*8;uJ%!"($"11*yG#3Op(*!#;7$$"+o%yUU%!")$"1PmbkFOp(*!#;7$$"+<u&)>X!")$"1#eMf'ROp(*!#;7$$"+6Xw@Y!")$"1A:*z$[Op(*!#;7$$"+/EI>Z!")$"1:-@y`Op(*!#;7$$"*71w#[!"($"0o9Zwl$p(*!#:7$$"+3!*Q@\!")$"1(f)=3gOp(*!#;7$$"+CM$y-&!")$"1(yqP?m$p(*!#;7$$"+af%[7&!")$"13]*fJm$p(*!#;7$$"+:C'4B&!")$"1#ybTQm$p(*!#;7$$"+vH_A`!")$"1Th:<kOp(*!#;7$$"+l(*zEa!")$"1=!f$\kOp(*!#;7$$"+'*f_Fb!")$"03(zvkOp(*!#:7$$"+Dk=Gc!")$"1\4h%\m$p(*!#;7$$"+VlZGd!")$"1&yLZ]m$p(*!#;7$$"+\R#[#e!")$"1K^52lOp(*!#;7$$"+Y!y*Gf!")$"1@/N/lOp(*!#;7$$"+`WCGg!")$"1-#*G+lOp(*!#;7$$"20++In<F8'!#:$"1\sm#\m$p(*!#;7$$"+%4"HFi!")$"12c;%[m$p(*!#;7$$"+GC"=L'!")$"1$H%=vkOp(*!#;7$$"+ac#>V'!")$"1&fK&okOp(*!#;7$$")_zJl!"'$"1%fiZYm$p(*!#;7$$"+H$4hj'!")$"1@))GkkOp(*!#;7$$"*X'=Kn!"($"1iq!oYm$p(*!#;7$$"+jDeIo!")$"1&f:;Zm$p(*!#;7$$"+kNARp!")$"1#\`!ykOp(*!#;7$$"+#4*ePq!")$"1M#=q[m$p(*!#;7$$"+pi=Qr!")$"1%f%zClOp(*!#;7$$"+25\Ss!")$"1HLv&em$p(*!#;7$$"+p*GXL(!")$"0Gw2lm$p(*!#:7$$"+"RqZV(!")$"1bR$)>nOp(*!#;7$$"+p([U`(!")$"1*\'>!ym$p(*!#;7$$"+6(f1k(!")$"0F2*GoOp(*!#:7$$"1******eFcMx!#9$"1J1SaoOp(*!#;7$$"+#Q2H%y!")$"1xC4hoOp(*!#;7$$"1,++^+oSz!#9$"1;")=YoOp(*!#;7$$"1,++(*4UP!)!#9$"1[#HP"oOp(*!#;7$$"+#f[99)!")$"1.>IjnOp(*!#;7$$"((*eC)!"&$"13#GJqm$p(*!#;7$$"+'eH4M)!")$"1"*RuZmOp(*!#;7$$"1*****4(*\=W)!#9$"0i0!)fm$p(*!#:7$$"+.%Q.a)!")$"1pamYlOp(*!#;7$$"+.45Z')!")$"1#ybe[m$p(*!#;7$$"+[,[R()!")$"1D?@SkOp(*!#;7$$"*2"eX))!"($"18GR/kOp(*!#;7$$"+9:KX*)!")$"1=-o!Rm$p(*!#;7$$"+u&)4W!*!")$"1ehf&Rm$p(*!#;7$$"+7U&H9*!")$"1O[>9kOp(*!#;7$$"+12yV#*!")$"1yK1QkOp(*!#;7$$")^l]$*!"'$"0J(zjkOp(*!#:7$$"1*****RX['[%*!#9$"1xl,"\m$p(*!#;7$$"+x/QX&*!")$"07x`^m$p(*!#:7$$"+=ay['*!")$"1R!4U`m$p(*!#;7$$"+b_'>v*!")$"0\iJam$p(*!#:7$$"+'GvX%)*!")$"/BnUlOp(*!#97$$"+Y&yU&**!")$"0#f'Q`m$p(*!#:7$$"+:tg/5!"($"1ZNHBlOp(*!#;7$$"+CPM:5!"($"/3)y]m$p(*!#97$$"+(e!fD5!"($"1#\l,[m$p(*!#;7$$"+:)RZ."!"($"1_d*4Xm$p(*!#;7$$"+z!H]/"!"($"1b)***>kOp(*!#;7$$"+ZlQb5!"($"1*)=1'Rm$p(*!#;7$$"+(y%pl5!"($"19h&HQm$p(*!#;7$$"+Y=Dv5!"($"1z:g"Qm$p(*!#;7$$"+Fw9&3"!"($"1&z?1Rm$p(*!#;7$$"+d=Q&4"!"($"1Q6m3kOp(*!#;7$$"+mKe06!"($"1xy*4Vm$p(*!#;7$$"+pm2;6!"($"18yz`kOp(*!#;7$$"+k#>`7"!"($"1X)Q6]m$p(*!#;7$$"+QUsN6!"($"1dd$=em$p(*!#;7$$"+M><Y6!"($"0wq2nm$p(*!#:7$$"+E-Cc6!"($"1'Qlwum$p(*!#;7$$"+*>$Ql6!"($"1y.J+oOp(*!#;7$$"*3bi<"!"'$"1$pOS$oOp(*!#;7$$"+()\Y&="!"($"0zua$oOp(*!#:7$$"+,$yh>"!"($"1pbA2oOp(*!#;7$$"+(Rhc?"!"($"1`i[gnOp(*!#;7$$"+fe1;7!"($"0JOepm$p(*!#:7$$"+lL(fA"!"($"1J#[]jm$p(*!#;7$$"*"3JO7!"'$"118ldlOp(*!#;7$$"+6Q!eC"!"($"02$=XkOp(*!#:7$$"+%HVgD"!"($"1ZA%HJm$p(*!#;7$$"*CzmE"!"'$"1/7T$>m$p(*!#;7$$"+iy$fF"!"($"1[d;@hOp(*!#;7$$"+Gu$fG"!"($"1s&4h3m$p(*!#;7$$"+dzE'H"!"($"11"o')4m$p(*!#;7$$"+lVP18!"($"1&e!H_hOp(*!#;7$$"+NG:;8!"($"1&f"yGiOp(*!#;7$$"+d,,F8!"($"1Xhe:jOp(*!#;7$$"+WfwO8!"($"1TC$yRm$p(*!#;7$$"*L#=Z8!"'$"1:n)))\m$p(*!#;7$$"+C6ic8!"($"1s$Q:em$p(*!#;7$$"+=-%pO"!"($"1L:mYmOp(*!#;7$$"+#o\mP"!"($"1NfKwmOp(*!#;7$$"+p))z'Q"!"($"1&ytQnm$p(*!#;7$$"+a:s'R"!"($"/O%\km$p(*!#97$$"+(o4rS"!"($"1.IX,mOp(*!#;7$$"+#p9rT"!"($"0)HtglOp(*!#:7$$"+ciMF9!"($"1**y]6lOp(*!#;7$$"+(4$\P9!"($"1_%)=lkOp(*!#;7$$"**p"oW"!"'$"1$*yQKkOp(*!#;7$$"+CK]d9!"($"10()Q6kOp(*!#;7$$"+>61n9!"($"1K8p3kOp(*!#;7$$"+H=Dx9!"($"1&\!**>kOp(*!#;7$$"+Qc+(["!"($"0$)4'QkOp(*!#:7$$"+*)f$y\"!"($"1@RWgkOp(*!#;7$$"+yU@2:!"($"1;k+*[m$p(*!#;7$$"*sey^"!"'$"16i+ElOp(*!#;7$$"+s*fv_"!"($"1HEMclOp(*!#;7$$"+>;<Q:!"($"1V)R)zlOp(*!#;7$$"+vwKZ:!"($"1E%G$*em$p(*!#;7$$"+``vd:!"($"1PTN(em$p(*!#;7$$"+wz#yc"!"($"1drPulOp(*!#;7$$"*-%*yd"!"'$"1xD([bm$p(*!#;7$$"+KI#ze"!"($"1HkONlOp(*!#;7$$"+sxb(f"!"($"19cs,lOp(*!#;7$$"+"=tzg"!"($"0**4rWm$p(*!#:7$$"+B)**yh"!"($"0Nj9Rm$p(*!#:7$$"+WrMG;!"($"1P9xSjOp(*!#;7$$"+([/yj"!"($"1="4)3jOp(*!#;7$$"*ic#[;!"'$"1[/I$Hm$p(*!#;7$$"+UzEe;!"($"1Lk#*)Hm$p(*!#;7$$"+(*[Do;!"($"1=h@AjOp(*!#;7$$"*J'oy;!"'$"1^ESfjOp(*!#;7$$"+BSH)o"!"($"1f0$oRm$p(*!#;7$$"+MO8)p"!"($"1)=0#QkOp(*!#;7$$"+Lx**3<!"($"1&=ZF_m$p(*!#;7$$"+'GM)=<!"($"/&RShm$p(*!#97$$"+0S*)G<!"($"1J*Q5qm$p(*!#;7$$"+yW7R<!"($"1GwrnnOp(*!#;7$$"+u#G&[<!"($"1H5O,oOp(*!#;7$$"+<Cbe<!"($"16Ds/oOp(*!#;7$$"+a-]o<!"($"1z"Gpxm$p(*!#;7$$"+[89z<!"($"1M'p9sm$p(*!#;7$$"+`;`)y"!"($"10Y%Hmm$p(*!#;7$$"+:hO*z"!"($"1^vl)fm$p(*!#;7$$"+$QV"4=!"($"1Le9;lOp(*!#;7$$"+xu")==!"($"07sZUm$p(*!#:7$$"+P-AH=!"($"1&>uvLm$p(*!#;7$$"+x]mR=!"($"11:OxiOp(*!#;7$$"+O$o"\=!"($"0,@ODm$p(*!#:7$$"+v.Ef=!"($"1FBbhiOp(*!#;7$$"+=#4"p=!"($"1cB\'Hm$p(*!#;7$$"+oayz=!"($"19jb]jOp(*!#;7$$"+#RB!*)=!"($"1VU^&Rm$p(*!#;7$$"+%[L'**=!"($"1Q.lfkOp(*!#;7$$"+Gvg4>!"($"1ul6ClOp(*!#;7$$"+N_[>>!"($"1E!e#ylOp(*!#;7$$"+*zq$H>!"($"0;-Uhm$p(*!#:7$$"+[MXR>!"($"0(y.GmOp(*!#:7$$"+()39]>!"($"14]b=mOp(*!#;7$$"+B-%*f>!"($"1&QfRfm$p(*!#;7$$"+DMhp>!"($"02$)[cm$p(*!#:7$$"+>R&*z>!"($"1(e#)3`m$p(*!#;7$$"+->F!*>!"($"0&yt&[m$p(*!#:7$$"%+?!""$"17z%QWm$p(*!#;-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q*Recovered6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$""!!""$"#5!""$"#5!""-%%VIEWG6$;$""!!""$"%+?!"";$""!!""$"#5!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%Q%Time6"Q!6"-%%FONTG6%%*HELVETICAG%(DEFAULTG"#5-%%FONTG6$%*HELVETICAG"#5-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$5&!""-%)BOUNDS_YG6#$"$I"!""-%-BOUNDS_WIDTHG6#$"%qi!""-%.BOUNDS_HEIGHTG6#$"%?J!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6"</Plot></EC-Plot><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="98.91304347826087%" captionalignment="0" showinput="true" captionposition="1" id="Table6" alignment="left" randomized="false" labelreference="L7482" showgroup="true" order="row"><Table-Column weight="255" separator="true"></Table-Column><Table-Column weight="169" separator="true"></Table-Column><Table-Column weight="213" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="3"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7481" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Model summary</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7485" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font bold="true" family="Arial">Parameter name</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7484" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Symbol</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7457" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Value</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7459" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font size="11" family="Arial">Susceptibles, fraction at t=0</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7458" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7470" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="TextSu0" tooltip="Fraction of susceptibles at t=0" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.99950" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7466" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infected, fraction at t=0</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7475" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7474" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="TextIn0" tooltip="Fraction of infected at t=0" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.00050" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7469" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Recovered, fraction at t=0</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7468" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7467" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="TextR0" tooltip="Fraction of recovered at t=0" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.00000" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7483" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infection (transmission) rate</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7463" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7462" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="Textbeta" tooltip="Infection rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 1.66038" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7465" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Removal rate</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7464" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7471" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="Textgamma" tooltip="Removal rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.43037" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7473" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Basic reproduction ratio</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7472" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7479" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="TextRNull" tooltip="Basic reproduction ratio" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 3.85799" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7478" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Relative removal rate</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7477" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7476" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="Textrho" tooltip="Relative removal rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.25920" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7480" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Average infectious period</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7461" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHRjRGMkY1L0Y/USV0cnVlRidGMi9GNlEnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR0YxLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkgvJSliZXZlbGxlZEdGNEYyRjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHRjRGMkY1L0Y/USV0cnVlRidGMi9GNlEnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR0YxLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkgvJSliZXZlbGxlZEdGNEYyRjU=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7460" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-TextArea id="Textrezgamma" tooltip="Average infectious period" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 2.32356" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L7349" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L7345" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L7347" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">References</Font></Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2491" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Bloomfield V [2009]: <Font italic="true">Computer Simulation and Data Analysis in Molecular Biology and Biophysics. An Introduction Using R.</Font> Springer, Dordrecht, Heidelberg, London, NewYork</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2493" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L20" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Kermack WO, McKendrick AG [1927]: <Font italic="true">A contribution to the Mathematical Theory of Epidemics.</Font> Proc. Roy. Soc. A 115, 700-711 </Font><Hyperlink linktarget="http://rspa.royalsocietypublishing.org/content/115/772/700" hyperlink="true"><Font underline="true" style="Text" foreground="[0,128,128]" family="Arial">(Download link)</Font></Hyperlink> </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2038" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Worksheet>
|
