1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
|
<?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="false">
</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\012SEIRmodel := module()\012\012local SEIR, SU_0, Ex_0, In_0, R_0, N, SEIRsol, m, s, b, g ;\012export MakePlotSEIRsol ;\012uses DT=DocumentTools;\012\012#m: mu\012#s: sigma\012#b: beta\012#g: gamma\012\012SEIR:=diff(Su(t),t)= m -b*Su(t)*In(t)-m*Su(t),diff(Ex(t),t)=b*Su(t)*In(t)- s*Ex(t)-m*Ex(t), diff(In(t),t)=s*Ex(t)-g*In(t)-m*In(t), diff(R(t),t)=g*In(t)-m*R(t);\012\012\012Su_0:=0.99; \012Ex_0:=0.01;\012In_0:=0;\012R_0:=0; \012\012 \012SEIRsol:=dsolve({SEIR, Su(0)=Su_0, Ex(0)=Ex_0, In(0)=In_0, R(0) = R_0},{Su(t), Ex(t), In(t), R(t)}, parameters=[m, s, b, g], type=numeric, output=listprocedure);\012\012MakePlotSEIRsol:=proc()\012 uses plots, DocumentTools:\012 na:="not available"; \012 DT:-Do(rez_m = %Slider_rez_mu);\012 DT:-Do(s = %Slider_sigma);\012 DT:-Do(b = %Slider_beta);\012 DT:-Do(g = %Slider_gamma);\012 m:=1/rez_m;\012 SEIRsol(parameters=[ m, s, b, g]);\012 Susol:=subs(SEIRsol, Su(t));\012 Insol:=subs(SEIRsol, In(t));\012 Rsol :=subs(SEIRsol, R(t));\012 Exsol:=subs(SEIRsol, Ex(t));\012 Do(%Plot01=plot([Susol, Exsol, Insol, Rsol],0..200.0, 0..1, color=[ "Blue", "Magenta", "Red","Cyan"], font=[Helvetica, 10], labelfont=[Helvetica, 10], legend=[Susceptible, Exposed, Infectious , Recovered], labels=["Time",""]));\012 Do(SetProperty(TextSu0,'value', sprintf("%10.5f", Su_0)));\012 Do(SetProperty(TextEx0,'value', sprintf("%10.5f", Ex_0)));\012 Do(SetProperty(TextIn0,'value', sprintf("%10.5f", In_0)));\012 Do(SetProperty(TextR0,'value', sprintf("%10.5f", R_0)));\012 Do(SetProperty(Textmu,'value', sprintf("%10.5f", m)));\012 Do(SetProperty(TextLE,'value', sprintf("%10.5f", rez_m)));\012 Do(SetProperty(Textsigma,'value', sprintf("%10.5f", s)));\012 Do(SetProperty(Textbeta,'value', sprintf("%10.5f",b)));\012 Do(SetProperty(Textgamma,'value', sprintf("%10.5f",g)));\012 RNull:= (b*s)/((m+g)*(m+s) );\012 Do(SetProperty(TextRNull,'value', sprintf("%10.5f",RNull)));\012 if RNull > 1 then;\012 Seq:=1/RNull;\012 Do(SetProperty(TextSeq,'value', sprintf("%10.5f",Seq)));\012 Eeq:=((m*(m+g))/(b*s))*(RNull-1);\012 Do(SetProperty(TextEeq,'value', sprintf("%10.5f",Eeq)));\012 Ieq:=(m/b)*(RNull-1);\012 Do(SetProperty(TextIeq,'value', sprintf("%10.5f",Ieq)));\012 Req:=1-Seq-Eeq-Ieq;\012 Do(SetProperty(TextReq,'value', sprintf("%10.5f",Req)));\012 else;\012 \009 Do(SetProperty(TextSeq, 'value', na));\012 \009 Do(SetProperty(TextEeq, 'value', na));\012 \009 Do(SetProperty(TextIeq, 'value', na));\012 \009 Do(SetProperty(TextReq, 'value', na));\012 end if;\012 \012end proc;#MakePlotSEIRsol\012\012end module;#SEIRmodel\012\012# Initialize interactive document:\012DocumentTools:-SetProperty(Slider_rez_mu, 'value', 80 );\012DocumentTools:-SetProperty(Slider_sigma, 'value', 1.0 );\012DocumentTools:-SetProperty(Slider_beta, 'value', 1.0 );\012DocumentTools:-SetProperty(Slider_gamma, 'value', 0.25 );\012SEIRmodel:-MakePlotSEIRsol() ;"/>
<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="6189426321391616"/>
<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 SEIR model: Infectious Disease Nonlinear Compartment Model 3</Font></Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5805" 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 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="L5807" 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="L5808" 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="4" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5809" 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="L5855" 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="L5866" 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:::4:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlK0JGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQhekYqLSUpQ0hJTERSRU5HNiI=</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="L5810" 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="L5812" 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="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="L5814" 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-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5806" 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="L5133" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">The <Font bold="true">SEIR</Font> model is an extension of the classical <Font bold="true">SIR</Font> (<Font bold="true">S</Font>usceptibles, <Font bold="true">I</Font>nfected, <Font bold="true">R</Font>ecovered<Font italic="true">) </Font>model which was originally developed by Kermack/McKendrick[1927]: a fourth compartment is added which contains exposed persons which are infected but are not yet infectious. The <Font bold="true">SEIR</Font> (<Font bold="true">S</Font>usceptibles, <Font bold="true">E</Font>xposed, <Font bold="true">I</Font>nfectious, <Font bold="true">R</Font>ecovered<Font italic="true">)</Font></Font><Font family="Times New Roman" italic="true"> </Font><Font family="Arial">model as presented here covers also births and deaths. Persons in all compartments are measured as fractions of the total population. The birth rate is set equal to the death rate which is assumed not to be related to the infectious disease. It can be shown that the inverse of the death rate is equal to the life expectancy.</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5110" 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="L5132" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5134" 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="L5142" 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="99" width="340" zoomable="false" labelreference="L4964" 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<Hp:Lo;@jBNZKFZ=F\\;vy>ei@j:<J;Hj:@j:@J:<Z::Kr;MR;Gb<Cr:=b:=J:DJ;Hj:>Z:B::=r;Cb;?r:EB<MB>nZ<F:Eb;MB<KB;I:?r:CR;Gr;@J>@KCHKD`jDTkU]KV\\oJHWdQSeTQEUuE@MKHL=UWv\\RFYmuXrEYvF`N?@NLPmV@OSDNTPudYoBN:=r:CR:?b:Ir:QR;R:?j;LjBDk<@lCTj=@MKLkb\\jZ@QSDnKPkU@TLLuj@rBEUcIMtLrdPQEHqCMsTUqyegFVZ;b:]r:]B:ykuAY>mR\\DpK@KF`r?`kYPXDdyjeujPqkPWYhvHhTiHxPPnvex\\QLdTxQEOF@Ya@VILSTllFTLuYNEtpUqU:uu@mPWTwU=yqILQqUKTqiDlsXunYuGtq`yVYXmHDPX`RayWMmwphyUlMvmwt\\RsYlWtqGAqUmXhIykAQeIL^mspeypTviIusxv@YVfls;po:aVNQoqaneTk_QV^PYITuYDKwXN=HpBMtrXNmMLVXvqyVc<YRQlDtwEhl`ptthnSldSfooyhjxwWfheQ\\]IsB`r@O^kN\\rgv_Fme>ocyvs_nbf_<Fl`ViDhp\\NxdYbPqpAvclp\\pYl@Intffcn[Y>dOXiXyp[Xw]xiInbyeC=Dt?CWYcBamn;:nN:::::fkAu]?sV:Z^oagFelXaH@k<@ulAtpvl[Flsys_EGESGqbWsW^]C^[GcWYtYfNSgnoINeW_]GwkfE]VwigeUvUAWJcHK;gV?UF]B\\Sn=qKPtj`pnqhQU]uNuSOTNfPya\\yp<wVhVHprgdraumjQvYuQkTstDRNtWqaUKpsqltfpQbljXipPqu?`qHPqnIkIEyMh]U<:NY:::JXrq:R\\gx\\yfvOv:[en[xhUdtyfXWfpYdVGubscl?e^EwVMDdcIXiXRYbTuboDsWIO@iLgtW:YPaLuPxPg\\yUtRWQy>MQlMVkZyNhPhsKXtN`bdyrCHZnHsFVhGykaFjWI_eX]qhvs_ksgjY?iFObNpjS@t?@tWYjZ@rny[ehqnYwWW]=@t>wrX`baygMqgpfyUpmvogt^rsW\\WxqG?qUqxhGikAqeI\\^qcpgypVviGusxv@YvfxbKHaUaxUikypfaymUnkkp]>wV:J]uuSUmUatqIx]DoK\\y?YxQesiMyDuwpPqY<KxEwpmqIQXQ`yyWpvqwXXuaxojaxyGw@iqoFkRHiYVstYxFxko`t`weNVp`x[PYg?GmZvkppdK`hlffc?udo\\@x`sYvmHoev]Snb<od@xf\\ale_bbYxF__mPaZHwH^pgVx=iqwWssqohnfiw]xo\\xn_O>mOAuSq`o>fxXet@dDPbxfnWQ[oQu;V_cXwLaqmyi_?hxxZQhj;Hs]wv^ivaytOhfeWkLOu??icgeSp[[aoGOZ_Fjxhm>AjTq[WHibwfgFosNsNQadWlJfuWvhdPwuIiHhgaNe?A]F`a@iwQydp?iuOiWgaw^^JhnKpmk@o;f`dnpnIrei_FGe@O]b_rRG`sy_;NxXo_px`Jyeh^qfamAonjpxRol\\O_w^opG^fpt=f]S^_i?ulGrNOZl?ayXfryogNgFVi<IfUwr\\qvQgigheOgaSokcQcGpwfn\\PHbdhaeWyb_\\mP\\@n^m`qA?awxeAq_AplcNsEfbXqjvI_lvhPFjingRWvnp`nqoUf\\IPqAamVglq>pDOeUf[WxpV^vgHqL_nbphrWdT@fOWkuxvyPrtwiGIqfosqv]ef\\jIhsyct`\\UOijheRilWggEPfbxfc@uK?fg`_OwfTie;_oiOmiiahyw;FvjHiF_mF_p^Q`rwknHaOVflXpg_spPmePiSQkQQgc>sghotguLhq;I]?xj^WoAogNAvFXnTp[Iyo;n[jOhMQ`C>f`IpjprQWagAdJIwcX]paunqt_XseWcKfa:h[KfqbphHvoUgeSNnIv]aqkeGh]X[iFyDp^pYomxfkWdGWuDhgVy\\HWqBXtHOqca_m^vXPajv\\NHarYbFXipf_WQyu`ctiwRa_WAppxwa@gtVwMic`WbIQ^uOdu>nwFN]VwOXfqi]gEJmYFSCMkFaADw=f[SCoUgwWdw]HAAEJprshvsESMTRL=NFDVfTjPQVZMxnI[@w[;ot@iaeOfXipsyhS@]rHmSwthp_OndWOlyefKVckhyEGNMty<MFawv\\SxtqWPpmiwh\\k>iyaHPODLyuRPMv:XwrIM;UrfPklmRDQydmXuYkWDNDeQ;PSBav_lkJelr\\r[\\JZdQ=Qn_aRLDpBDPeMuPhxw\\wuxi@XxeFl[Iyxo];ydgVkMXke_iENotGkwIbOIcR`mYGa<YxoWmr`eFaeDyl_AopXq:gy`opZoaIvs[Ya`Him`tKhuKiweOriPvuFt]pd;GyK^_FC]CdRV^xphu_avfilgoxayk^vY>kPp^FwcOPh^i_bodsFqfPcVQuVil<wvAfZDI[BgjD^\\>hk<gpEh\\bH]^g^D_l<`rm^[RNJhMiYyPipwtV_eTUiYedsdtsm=POet>TPkLQ:@JdESw<JWHSbunWutOuKMuUuMoJMkSIMBPKdpj_@MW>ZTNltGZNasg?yaIcyWyOFewAv>yquaipyakyk_vYIwSyEuqdyCHvyQsyvDxicHxyEyOvYqX`Ec<CiEKVNmggScL?ip?Y_ocsiI;OS<gT[_U?CUZ?TKKVoIW@CfDODdAf:_CmLr:<RgtwUquqhoauKgqTKUWMQXl`UFhtODjF\\oH\\JJPY<tK<uKJMySlWMeXSelg\\xldqHHnO`l<`O^LWS@SN=l;]tK@tHLNwIUQUQ^xX:us^QoYhxiMtVUSZ\\y>EPlLVkB@pKcuYemuduYHpQGdMlyjCEK\\av>UVXmmSYvGQOXxUWUuRMuJ^[TOwjIqeVgd?`R>gCRoWcPMUDaDZIE@[rTAe?eWfQbPsyhgxWAurCUSsHhkYguWhUBvKWckFwihb;VLKYGKiIIcKWdOgS?UR_mVSeuRISuqCfedQoWWGEBWBcWrcGyYGvKgXLQcRIEhAyjatx_cqqXhqgfkCCeEUiTqcf@]vKgeQCvr_xakhD;SSYBduSwSl;uu@iXw`v^Qv^EvXAuSiLSmtDIWdPQOHVb\\jd]O;PM<@KNeX>DmRDqrIQNmOPilohuDPUg]xZMWn]NWDMCuJ<=KtpM>HLlunedMMLNAyxy=JntqGpYsHUYIxC=SyLn_HKMHlB\\K>MV^xxIuq^Uo]exMLTVupZ\\y>E@mYoQcLEVHOgoMgMUfB[EUAXoOCHcWtMh;iWeSeSsFV;VP;eoiYxiUiQUHEwUQe\\QiNgxA;f;Cgy;wCQBEWG_gcPOXgYf^KLyDUw`JceopdpVqY\\UTuhLMDJtuXvTyfpjpHMFhxCar[uJwEt:\\nb\\UHMtZ]xg\\XiMuHxxMqMPtr?lS\\MTlQpjPxeuRY`onAUdtQUel=TyailG\\Vvlj_UVUTLupkVMLtMNWUukdyD]oCuy>ywSeVIMVkTlHyY:Hw]iYlxY:lkSxRqMV_uQJlKL\\Ssdwn<N^IX\\MoqllDmOylyAaNKUSkaWkUkU=QhAQvInChoKAQBEJZdXo\\SZIxmdTpUyPYKnxPlpkFpTpDp<XWoyrl@QyIJ]EYVaqm<sQYLWlwGhlUMKblvIapltV_qwsMu?hm:QQfey@Xva<RnxrrdyOISuYmNHvmApQhKqXlIxnJpoTUPUDnKqypMQetrYupUHse`pIqnnaTgYMn`nClsuEV[QWFMME<vmqp[Tx^YU[@QGpSu\\QGQlv@L]UnMyRe]vmDqtuTn<kT]mMIJ`@r;QtC`qkpM_psqANcIt<tuVIxg]yQ]QrmOy@n_Yt;HlFxiTPxsPgN`le>eIirfadOFmNpwgpyu@[OweX@uW^\\c_ayhvuAss__[wjyW^GplYHsraiaVi=qjnHxSymkWhlNojFu_wi=aoPnfrqwkNwaAqXq]SNtSWqA``TWwKPtK>qiF_U>iv@aLiZkgvfqoONvdp[GwdTfyIf_EV\\<ntkGr`F\\RI[DPiCXykFiI_f:Nrp>dpnhvxYmrwGt?mrOWvQSxYashcFryh^WIF]WQ_e;eUX=SEScwIrueXS=YWUuYIFhGFqgumQdluy>ufluXskBy=crKgrsSZkce_h`mx@kRvgirqVDQRQSuaYUWkUscWQYrW;ESoxGWbHqTrQWSkwfWH^=hSeC]wCLYUFUiqADoaB;AE_QIWcgQSH]iDmwrU?sZ[RoGIQqfi=CScu:ag>CiySdOOdrqYGEDUIUwqIXyqs<qTMpk`o^IXmMxjxTAExr`YttseYy_AQPuu`qxrtpteoE\\tdeqU@Q_pkbLu`dmVyl\\HyeEplQW\\MXjEPmYuCUPs\\oetjqYYODQOYvQUUTMJpiONutbQQExlnHv@UUQxTQYX>@jL=s^XpHuWA@j\\<rkiYRPsgeSBhP]pkfIjw@jx<ttAutPQripMItfHyKQKPdn@MKIIrmANviPwMqIyNJPPZlKq=P=XtkIOvaXwQMCQj:pxAlvAutdxRhIqS=rvIMDAUSDpv<pruVs`qKTSxao_\\VClldlKJHjSdm]Msd@YKILqDMjdvIHjjTkbhtWTjSUPLQNZaWK=njdSRpJMijWmjSqJXdowyRsQVahMvyJVtYN<q]EuwuRBtwThwi`pWdk:iT?pnXqV^dkG<Ji]KO`rvayvIuYalXxrkQyv=s`yPddrBqsrtvGqTqawu=LE@w@DXQUWbuNKEtwPpfls`iSvXPctsHlJOXpUYp;PX_Lp:TSR=U\\QP`uTSXqEYMN@P>TWOLqPdL^MxZekvLvphNoEVtIL<<UmPlelW:MlY]s:\\JdXuVmyCiwvan?IXiDwJePVTyXQUWTW?YUCDJomLNeSp\\JWpJ:Emq@Lw=s<@YnySELYIqkFusddXPTRVMpcqoUHLgtXdWc:htVQntikG`tQh^Y>fo^x>fmnhvEnaEHlWITDF:B`Nf^^eEQvUVrApeCgsr@i_Qi=Afvym<Xqpfpgfnffn]oo`QpZoamvpBWfHitlHejO]KOefwoFqc^H_Z>ycqwtoZpP`IItAOlkgb\\hiv`wpAirOy_YewAy]?syF\\f^C_vomSYMVxEvxUgVQRnSshis]kty;bNsuXwYx=fyOSdytxIexiDsyhyyU^yq=LqrixZ]uMMrgPWQ`tmXMpaVXeNmMwfMYDqtbLXEdYDEj<Aj;<LFQWp]vTxQMPpqYjQdKbirgHoKQYJiPP=joitXuY<iqUxmi]WiUnTeyaijGHl]umfajohKBXmwHqqyK]uuU=WQxvhiweAtXLQxEwtymI`yqdvrUqUewfaYftwaXYe<jDutjtO]MwpqSnXvTQmPxuihtu@NNqkTTyVUnT<NFaPW`QAeTd`tpto`UoepvddudqwwyuO@rULNGAk[QWPDYKMOaponMNvLskIMXEk^pyxxXT=j=DwHtqp`yXlYQYOCEyVlMoetsUqmtofAJupxEPUQqp;`pl<Wf\\o@LTQyS<trSQyULvr]YxxnDHxRlmv`SveJVmYtTVmpWVIxP]lNpLXiLohP?tnlqjQ]v=@OStSvHQj@siAjXDSOyqeyu^HQP@rrEK\\aV>MV`Hk^uK^POHhNNMxEpUm=yp]kNALOas_lS`hsKDkNDQnHoghXWUMDDyvHK`pnTeX[LndHjOeRr\\UQPlFLXUYlUdpdUQN`Vb<TDuNsTSYaTIXnZhWpeU=hWQuPvHJJANTEQweVkHVT@pBHTNXj>`Kqmj?XSC`R^=rAeoV`lgql^HjnAJ:]jTqunHK?DWyUG:YJCFsChOirYqiV_uZOIeidnCtEWsE;tYkDHYTyquYAXqKsylvAMy_xsywje`yGW\\d@yevy:VuqfkYWuYvnuYdmvqlv]PqkaoyM_yH^_myy:V_y?tXX[xyhyAZjXsUXcDqawGZ]VqyAZTy]@xYsDeYIhCIsyR^_Bk\\b@SK=XvURr?hMUTLkYUOSi=UgYhCAgJ=EFOf^[hOoSuoIUyhDSeJUi@iedixL;bo=xT=CXKth;WBYFE]eNuVJOB<[TNIccscf]hIwXYqYCqtAKga_Vrmw;?YCMv^_r;]yKyqUYwOxMOQwy=JxiSidOI=SymTryoriVyiT_xqiywbytJxY:XuUey^mmAUVJuqHTVv@qIPmBqNHhovawMYPCIxR\\VhERa@uheQkYT_HS]@wVQVUEN^EVEPnB<MnHxDipWmKI<T<HJu<Q[AoYmQmEYIqwi<QAYmC`kIPwxMUqaolPQ<QOTHjjhotTkShRwPJwYRcdjpQjEIyAYJ>MyOeQ\\DyVaUatShuXVdTOmtTqSFuo\\dnd]PoLOTPyQLyU=n[F^UwtYojswhS`eYFnE^v`_vYNktnktfghgnwYxIA\\@ib`ViN>\\speVh`_Hruo_O^p;n]NxiGAgwXZDwa`YaV?yE^uaqrUFuVHojqyQQxxNxcQuMEqUycyUgiWtmhqyhcyxcudWuu@IUtYbbivliTosCHaiUiyvwyjWyuWuuguhYgwuYuyxO[UNqxoiuoGw`wYi_XuOhiqtVWty;RtAYy_wYWV@Ixw?EUOVo;fPaSOSbcixWSh\\oVCsW_EghGwR?vOaC>yc`;WTCF^eiCWxrYhS;w>kU<[SBORUgv>ccUgYIYURYrKKC`iFvIs^wCygv;iYBIxekHACdYCbvIuq_FjwIskSwqy:Kf`iRsYC[Ii\\uyk?ITQHlWxFaUpQY\\[hCobcUb=cWHCbCkHNEwWawnAudaWfKRwGhPEXgovf_WP;EuQe^gWT?Hjuc>ax]UdbOBBGIwKU]orCIg\\ui]]T@CVKAuvMejQhDwdmGhq?vLycQCXkirOYcX;CZ=RjkIp@POTL=xMN`LbURD`t_@W\\XJwtJUul@iRnHsh@jpy:ZlxZCIk\\_FcxYyCYEDtwdFYtn]Di_vrsdyqhdECVgStAC]mF;_sE[c[QgW]EWwUUsHJGy<;JxQpheNDpP\\]LV<XVlr\\PJr@nfQq;uuGYyduMJEyIQMkyrC]yuHm>ARaAWDQwPqptPUh@kdhKWmLJaOkTJPdv:lto<uHewFHyA]uXaWkuk=v_CHyAiZSHsrox@O]Tqtgh\\WGcpWiQNpe?so^t_QbeX`En[W@rpNwtVwyGrpQoyglmopoivWf^KgsbpkWfa?gnFFlpF_KwfJhlrQdA>a<qvRWvYGisFcHbKUWgAThuFkEYTmtZmhB_XZCfjgYUEXxAvs]EVuUQEHxId^_I@sxc[wtwwcegt[H_UYe=FuUmO\\tl\\tq\\jeqQelP<pKTyqlit]IuVxKqDQyyQkmUqXoBhxW@qpuTGqX<hjWprcPl^`tJTuDipAqpHalGdPiIn@tWLIMkajuMYAuxAiPiPky@KiqRGDuA\\v>IsptJP@YAyxyXnOdUVXX\\hOcUSuMqrMXChO[@tQYtq]XfDkP<QsdN]qRmYOITqrlNaas\\aWcDrc=JZEs;LSGqm=DNRhQhMV]yY:Pxp=vi@Qq=lypLTXVpUOKxm_iW:uukmWZtYg`pA]WPMNeIumiyrlySlTqTO`amjTqclXUInCaT`]TjMm_lMw`Mc@QMEUAUNbPT^tv@QldToUUNXiYydOJeldhMPEsQLQ\\TxL]OW=KB\\o?lLNhSETx_IpoXlFLsSHmU@TnXPnDsdpr@qlP`rC<tplpp@NR<P^PrXqU?DN_en>eJLPdlPkfFZfNp=AnAPePipfXjkQ\\LIsCx_mAi=htjWqQHkMP\\dgjd>ayxiJfmsfZFXvIaadQnRGe>OlKOiKnjTHg<@t<?\\eYiPvxKyoAx`iOelvnk`yw_u:XjUHr^nm:HZOpd^xmJaZJiifxkaWovPltHraog=>l:FZc`^\\ieZXZnYltaZlYg:qqK?xqyknOirx\\_>iBNqsIpHfmyvqKx`jGndHydPj]pkg^wCWmR^pkqaZv[;h_<^nD^cKQaQAfGvmwXj[A\\mxwyFgrybj`qqHsQ`ljysdnee>kRFoSgnmOpcoZ?yffVybVax>nDi`wYnqxo:ymWpi[XxyePkuSOvG]rswdAsyiccVSIfwDqwUECIOQHPotwCi=Gi\\ed]yXpqbheeCqU=;wS]tdgS^OwC[IloFdCcKqT:SVIGTBQtP[tFOS\\[wdMEMGC`]YeUbJqrRIe^[BtCR;oSYgICCf@;rIicPYxmYuD?yvkuQEsm?YXqroQC^Ixl]GEkwFkSgAXAgx;YUdiggUWhoWaeUIIUtiu[_EpsswOVvsxmib]kHaWeMurMeD=Og[oflUR_cvMEgGWs\\egYev:=dnEEqihsMhBwf=aCGKDhEeQIDsURMYGeYRegwLaspAclcbeUu=Uc=gE=ux>avNQgT_x]CdrohrKVv_VXIB:EEA[Dk=r[=eqeI^wcB_uy;Rs::StKmyX[u?sxXKvAQXM]sxeB\\avaQCyyBXATlogDMUKaGNcyKyBl[wlUeS_VPcxusBTGvhudd?s?CsdCSUeEymfnGRisbF=DCYEMCcAiduQu=?T`=tjWDPcbwIc^Mfqkw==yN=xYUB@Qy\\Id>Mg?kFOGFK_X\\oVTIeiYSVkfPaG[KE_iEj]VBqvIwVemUEIwEgH_URgsGDoBWkE:[SCGrlIROabC_hygpd_=oJlyjCk>utyTKTiNHlmW`QUpR;PnOTsIXk?MR<]T^QM_HS<iKGdkRLJKaJ:pvS@P:XqXiXgxW]PuXQxY]x_hlMiWXqLEEuPEpwQQL<r=Xywtu^`xNxM`qPepwnuOwdtdts[yRe@rZLly=jvXTjuJMQqyTJdhlGmqT\\Yiar\\eKMQYLuYRTq^UkMaMODtwhNqEWVtudaMjmLciY[lR>HrcqTtLRgtWYqJmYQmuLgutuYlRPPPxtfhy`\\JJHrxYVFLqKXtaanmuYf`LUyR]<yttOPUsAmUd=MJprvlJSQm=xt]yodUm:MSDyULXqyhy[<yiixDqsumKHIRsEllhm_lRhhPXqogMxExOI\\toArxAtUmn`yNuPs`DJRqkgeKT`T[pwTXmViNFpKEEtpDwdUnH]WE<mDeWFAmteQ[uwuAmRxrviQr::YfvgIrYChiI>yc_ovRgyD]RGeWHyI:WuSGV]ExlIbieTqew<SsoawJkbRWGxii>WfkMi]iCjkbBCE]CiRmtQeXE]w_QcASDwsYg?uwEe^IRGKxOUIJatW?bn_VPkS\\[g]UuKkfRstDwVK?CmUXVKHkEea]w]ItBSHTaTG_Gf[gfYHbUXeSRmUB\\QVCqrVqtPoeRKhM=DJ=BKcF:;fH[XWUGSyB\\TX`\\nWLvtElLmW;PXSLn^LSPToxtOVEUCPTLPV?tJIlwGYMJMk^@lFTrAdqeMXeYUXMuXYLkPopuPAhVfplkPmtLLnYJcyWLdv?ywd`wqXTxDRWMsTYr:LU:DkaLwY=jtHmamn]HRBhmI@vVPNbIwcPlZ`V_pXoYPWhNRDN`qTS=QoAvDLueLtyppuPMV\\Nglx:QkyPt]TLN<xG`WF=sJYkduWWIqouo[`WhYtA`yCukV@SIyvjauDIwZ`THQmOPPVevb<sHDnRyUnDP>LwSHJP]y[qrtYmBpVyUoALsk@Q_ussPrp`Y;PX[XuXQql<uRmo@akdAquEM=YJ[drexnF]xGDVq]XCuWH=LLQtcPRAdvMmV@hxOawNyx\\il;dvM]qODSEMKQtnMuL:PoP@qwpRM<NXQy;hX@Hxd\\j[Tk]AuqtmaXyuprj]yYIuVlLI<MeludTUQPnJ\\JfEktuJ_ATwdlLQrbMOt@JZHj`XlfuM;EYHyxPPyaPK^EQ]UVmalNAuQUm;nquN]OamqpdeO_O>uFQikPhCwtS?pVNo_vrnvwxqmyVua>y[amyoh`Nvm^l@O^kF\\BDKWFtYBTwESueVSgYAYa[fIStLabCAS>kJ\\]Nq]XuGvQGxW>wKYoZ^yBpl`^c@O^kjBywWpMIuKY`UexY:tQFDyALv_HKM:GdBIDYCbwOTdyQipyLlVSYJ\\inC:\\^Qpxopvi@x]AwKytZ^iRpl`:RqyI:Uy=APQUoulWsDqA\\v>E@?uB\\k>qksyxfeLfqY\\LyEqJ^ymB^cR`K?=XtyLyruyfym]mjkiyRYmBlSKAmB^KTlXiwiqTwdQuMx_dW?TJZ=UfmpfLkTPvBUXUhQ[Lpw@L?elgdQIqsQmmKHMQQT]HvPiXg\\xfiqnyY:Trr\\yRDmMltLYUqYrrlqkekvunTxM<YNPQD::::::JaDrgPwNuPsyNAEmeeOIhqgTvoym\\yY:tLX`NAePc<Si`QZUUfiwdIkvDxFpodpx:ilxdmi]o]HrKEyqxKMTLZIUDU^kJCyVSDPs`tLEKuaV@<piXLyHY?M[WHmjh^CPf\\P]_hcHW[uf_TN`;Qy^Fs>i_iYiri`fXJaRZeI_gWy[huYCaAuQMClchy]bA_g_yhhuRkaI]QUskCowA:::::::hmQljjEYvxjGhLvLs^aSldQ^HwmYRDaOhEZeFcYyvlxlnfij@bmFZh@x;Hf@wj]XivItea^v_baPx\\G@KF]XwnyRePt\\`VYXn_dONaqpAsGHuY\\JXTrrakV`TS<nvaS;HwkXSftn=LRmPyEaU>qTthph@OBtmIiVPIXrEpuxxfhnqpWADxvUvTDYHepy\\jAao_:::::::\\spAVwYWVyPqhmXxTJmP?@Y=euBmNHuOiMp=MuNXNKyKkTtUTTnew;LVSdY?IOniMiQYYqsFutA]ykMX\\]W]DQ>MV]b>;esCeIYdIAYS]f>GvfSC^MXAswm_yVqCX;TGOuxCfwScsaWfKbkktGuHnACG]HWYyQoV=CyAKVaQeo_tpiyJkgi]U]sucAsNkIKoelqdYKyWibm]secvraDx:::::::JIym>pxY@oYDMx<vyHyuAyEtvQHMW`RxIUhyqDlmjaXoUyhYrxI]Whai_yyp[ynh`Ntmal@kBJkHlB@mI<lLxRrdLIlxHUNdTSAan?\\TpaRlpqj`V>]OcXOVMxTPxjQt^`tD<Jdev?ALwDM\\EL`]j?ukTQWEXuPyXf`rgituQpa=YVhnoas:am^exKhKu<QVPJE]n@lOkmv>EpSEj^@n>PN<XPHqLnALeErHxpKeOnMVapW>mB>]BdK?;afdQc<_tWUCCeVJQVLsXCqg][w`MrBgU^Ccn;fLwDeqg:gCrcgMosDyG=afPkd>ifbgUIcV:AbR[HW=s<qEK?Wf]B\\S>:HKN]WAhVF=lsXPeIV;hnCmL]\\NpuWrhVP<XD`uVaSoLV=]jCENKpR>xJLhMfQnPMRgXW]Pyb]rHYnAEy]aupyj^tVLev_`OLdSdPQXEUZ<UDMvK`lclWAeK`=YpMTLaRZDOlPTIqujDr>PP<Ql;iOoYRgTgf`bEAmB`RF<S>Fktfojhn^NxLy`No\\nhm<_erWwp>pOxpgO\\G?oVfnPXsiXvgWw<WvlXqjI[cfnwIduw^=Gt=?\\ni_APfBvh^PceF\\R>KJ>;valYsSYfLxy:VqwYsbQwA?kSPZ`pyDXwIOwxY]qIhqH\\lnZ\\F@:\\BXnpuuiIqQlWyMUtAWpDxL@R>mB:@=kfymhyOFuygtwYSiYVQX>]sy;r>ue_kSnqyiahQWvbkV\\;dRAS>:^KLLyPxpYy@pyamxYqnDTMK\\OF\\R\\SFZ]:Mty;b_wtlsr_uyqWyQIdNsCKKX?iCwidPyuO[yqqW]kW\\[VF]B\\:nBDkYpPuiyFuqmQyMUt?YpBlL@LNk:R>rkgymcyOEuy;rOayEqg]kT\\\\yGmxRUvAqWyeStQQHLV_HjB\\;:D@AswYsUkwUWyYEexKUd]g>;HkG<:k:dpGXVWXsWqxiqJAENW@YKiQWxtQdWidlqQqehVjulo@kQXsUHVFuK_HUOXYMMT;mXMmPUPMa\\XvmWEPOZpMKXtc<KGEl`dKsHV>qswAViYSXapqxJO=KIynaYXExNLpTFdw_TTpyqI]uPeOvQwP@uGhSHekoDYbiTR`pkqvtmo@HMXLPUMYj@l>HJn\\k>]LJyrNMt`pSkIlB:];v^N`pVH`aIZyowknh>gfyEXmVrSifeWTIY:]XYSdaIDAsRaggW_i?wtHobyCwjuXjeRKMxgetn;WkOHHSsXIE>MTpoBpQdt?cXcGkGdB:A;pNk\\Q\\EouqrcAxtqqCUv>lYkUUlQshhkeNti?xAf\\bxmWffoXumWk=hpxOfNnj;^a?pqNIjc@iF@mXApAFnvngZI\\?Q]JfhpFkJaiFFguoq\\@xRYvUyo_vvmXoHfytP^gx\\OOjx`i`Ipd?yE`i?IjRPoHyo_OgPo_DA]=aeNiwfgg<ifDOZLf^og_kGn^Fnb@`rFkq`m>;nBZlIma?hMamexqVycTwpAy_uiryXr\\YgRGqmO]Yg\\Go`vO_pnt]AZQhbLgcr@xHaxZXepgcCnmly\\KGcM_rGOa:YPSeXuTeGW>Ee`;bboufChK?;NFFkOyvL>d<IvLGyBHlgark>avPjDo^jym^PnVo\\`flhWm@g\\Ug^@WlgodLhxnvf`oaaXeaXoxpkGxvk?mAOl^IprAvUi[qytXgwoVuwPjeqn]heovtGoby@kXxig^mrnqiv^MX_vXf]IuhgungU?txeEnMieovT=wnIyJeSnWDXWVD]fTcFWCY?osmIHxIdBOWTuUicDPMeUGsxWBDgCLCrKaTxaFKkYs[i\\=ij_BvUX<[Hqogp=cXAS<KSR_X]SbBKRUYiBcix=uy;bFAGkmy<mka\\raitChLHDXUpmWyxUAu_<WElx<aUIpxOpYL=Q^dYT<LGIO]qQhayYeVSmm_mrOURkaUYeMpmV`@SGauTlp]YTquL`DRdIpTtJDiPqhUpDn:hktMJ?`oUPMvLXU]kpqm\\xLDulAYVhaVo<SDerJaUEanKIvc\\KH`wOHTxakTtQppWCuLOmKipW_`Qdlwc`nPewqAjcDuYyMTXvtyUFYO^Yw\\aoAEnlew<itPXS>ilSinWPlo\\UialwPniEVTpT=Awm<wcXq^puMLUXULiuLaEPPms=EVM=VEQj[qvohPeuTviQN\\KmeYoMMA]xViXDdSy=ulGs`HskqaePe;Gs@Ngshlhig]^nrOwUAsB^uC`btOdTNr;QgwGke>mm@\\@Pe?`mbGdonmHa\\`q\\kHb^Q\\ZY^>Qd[n]cO[<neaYrtwcV`qjIyvfvOXf[OxvWqZGuROpiHq[PlKYcPHoYHhZWy;hbPg`gi[bgb^g_\\XhXXykaykos\\?xOVeOXm?AhE@sOIfhxuo@sEG_q>^UglpNoNPu=WpdFurho?GuVn_Y_JAVVoVMqdFWDASs:]bHMcYGFJwdBKBbgeXmX\\gDUGh@oFUqH?YFjMh[qvHaf^CikMu\\[bEYuUcT[Oe>CXXID][G\\otomyIaTXGw?asUmbM;cTgrdYwLoDyEEcAyN]UcUgfaIV?gfWg:oSP?ehmc<OX<?BUsxOmGYarIAvdgvh[ceATQGtH_HhmYM[eloW^oUowDHCGsod@_gQigeiWeQY;ehl?VS[W^MtL_dcktKQEpQcMOd^qEWOi>yRpwBPUtEggLSgbebCiCduSWQFG;BFqBxCRAYuPghOgxBgTuqTTmWLIbJKBocEt=DBYfv?VJui;oTWkhgghgGwhkb:eC;uB<chTKB;yBk[B<kyBmDwIU<WXF]B\\SNkLlZlQstSbutq]vUtKoekFTskUs_exfpSYAqQYS:dPcEwSEvieSFPSSPU<dWmmpBawr]vuErwuUDaTqpNe]Y@Lm:`XFlpYUKruqCXsrmoQqLsuJetvWHjItMH=nCHKqQqw@Shimn@s^LNbXRuPwRMUvEOwdkMivXAra=YYAp>AXIYM\\Qo^EyVlmt`Y<awFUYGQLEPllHKhhp[]w\\UvhqVchxb]SAHTrARv]rruripodHqmaS;]tVTUDQQ`\\RNIvcikkIVLalGLp`UvUaqg@PQaRUxmR@vk\\PpTntln\\quW`TZLwNAqW\\lSUYmdYGYX_eq?qVvtyihM?Uv]moLAVVUOpXN\\ho?EoV]JVixoHliIpkdUhapNuodINVutHYPAHlhuo=`Vrluy@mDESfqR^EOpPkXTqW<wOiqkhMlPuO^hNGqb^xEnwdOwew\\doqhYlMPqsgwAQyGOkTAetIvj>hN`dkG_VFr<a[GghZWpvPsUQ^lqbrYi;AxaF]NFedhao^gfWltxnFGqCioTopPQt@h^Dws_F^`omHvkVfxaglsq_PgZrGoH@mVoj?ghgvr\\vjDOmTQuNy\\gpho`lmpdfHsW?kP@e@OsOaodvn]Nswvq[queFkBYuPHyivm@YvSWhJG`lH\\hQegPeVWvohl_vh\\PudyogocoadCNpAQeOURKrwMVuWdcWITCFM?hcAbPSXDOdZGh[QHs[sxMs@wWcgFcUitKBMWERKFxmFS?H`athisc;s[iER;cU[dV?G[abw]DsKrXgsQCWxCYvQWHwsHWuOas]MXSAYqedWAI_UyR[t_qfD=eUiWHGdSOedYcREFR[dF[g@Gw?wGygumQseOVsiSR[YPscOwRMiSPWdNywXYSB]YkiTDIgLQc=OwdeejoWpuFL_eeCFq[vH?IeagcaCtSc<CdfOTykTIkgkIs;?w\\QtlQffOX@WfLufuSS<_hg<yu`o[@k_aN?TYduNOTOKaw:qX_ylMiLQHo\\aUaYKAQvlaM_TOHmOgUS_IngXotdXrdng\\WAtPglsN`wkTWNeyHltl@U\\aquxrsmWIYpBLViXWm=PgPWiToOiu^dPBllOux@Dp=UUS=vfDOfxViHTw`rEIuihSLDpKB\\tnRpX^mLPuvqEjMdP;DWfqU^MN<dQPXn<Ej[POp<sF=uA=nfesOhtPMyqHtMYtKaqiqr^`v^yTHpk@trOytj]u:yTumVxhT]ulP`SLtpDTw`YT]iuZdmyxs^lTo^rOprbok>XlX_dMhcMVelOe_FaOpdPNcEGmtxiVvgvaaFPqFavGphX_mZilt@mkFrEHpe`d<?jcIrSfmH@r]>bhnmEXoCiqsvcUvfefj]a]W`maX`=afModHGa>QgfvgrHpcgokpxYAlhf]Qid_gaqP]da\\CXbrynvpg_Q_[YxvYpDxoB@vsauegw?IsSVoKPdwipIgichlux]R>tugduXO?YAcCESRd`mMYvU\\u?MvfUsiXlvLPjtOdArlIm`XNs`M_hKZmY\\axM@pwtM@dR:lqgAoE\\vgelMMjadsqhWWLU\\lhO`[w`jUGtiixy@m]wfQqr^YvKqeG?oFijlHpPnpRYwU?nrpucnw_pkohqwnslIqTAsHNni?yxQtjamxp`XydQn^uIhc_hQG[APmPyolwppxpnn_svqmhfBox_fyxDbshgeBnMhXgXvMTdAckuDMerPal:AlP]Y[uJ^PVLhYAevy=j?TxPuvRPScTWmDtl]nfTnFEjc`S>fsV?nNIw>_o\\wgbFrrPl[H_uvp?>wxyifFhs`i_il\\Qf`WhyWsgyosxdVQtEAfcXunxse@\\^AjDH]pHjmGZEW^pXj^qayUvSxBOXRkYygesGEr[yIShtiwgiepwXe]ThabhMgbAFPCBpExNmEGQw@extsTqIRv;rrcd`SWU]GQIwxYeNmB;GBiyu\\IwZmhLEScodgSRQcbcqC<UVJes=cbv;ecCdpCgTobMQeUotJofJChVaU=Ss:[RWWwMehAIU[WxIYbMGCwUyQoEPWukeBAoTEeSPeu_iyXeb<kX;cWP?UGWeJkgN;tHyT?WyIErm]IwGyuSHpuIusuTOC?Eu@GfQEtLUEWet]mxxQV]OvL_dTUgocX;]V`=dBWXU[EMSIq=VoyBXWiUKe^kGCYITgxGOcuQH<USLuRsuGkCfeKB?geKQeeMTsgRV?TtKbj]rToUoaUWYTKYXKovW]b\\uF<=EdoSAmRLgd@sY?CsA[FLgVYirOafJCUOYgTCH=ecOatbUbKOGj_SaYRO;E@wB[AbnuUhixHAU>kZ@O^?_i>hv?VlQguNixGVdL__p_yDIu?HumPhAP^qx`OG^dwgfhrUvwBXdb`ysnmN@WSY@IBtcEV[f>=R_UG=UH;qU@guKMFXYT=UHxixBEIIiyCYuAIHRCur_tXkuicEmmXIUH@YFh;gdIwUWWZMx;;GoKeTyxFaiuaEZ_iiaCkssWOvc_FsmIAstdIxVaSuer?iRgmWJqIU;FuuymIwNodZocgIVN?XJsSKkWpGCe;gOsbhKdhcwQasJOcOMY<seSoU^yCJAB;ofdWgSWvNAYrUdVgBtCVGOFTaFTiGBcUFQRHqFGuFu[I<Ux:mDIIGdsulQb`OhrkcxidGSgSKWEKXtotQyHcCeNcw<ofggwsCwuSiOwRnAWYCS=GuE]buYh;YHr[UxWgLiIjqWDUsEED\\gYPYfwiIaQup;CngWEcsokUpii?oVtosegx<MuHUUiWhTGb`=dSmekUIE]dCUGRaVd[ibXOUHKw`xWqPvLKjEsMutIuKKqvbaLVeSEyL`PJ_ike`T]LwZpypAqNAWEdP:=PvxY:lTxxT^qT[iYW\\XF`oVMobpwVLKSDwfeKuuV[PlPqpWDrRQnRQkpQppMwQAPdtmAEswXp[mUklsy=JYIUJXXjExi@sf]kfeleuTUpsbqrkLWTywRas\\prdlrDilupLl\\tS`rTicxVnlNuiHe`^bfxodX]aVkJVcWQnag^BHe^nqmXc`xdMfyF?_nhnrH\\x^nlo]CXij^hVgksGcSftFNxHG_JOtdPccWqHxb]HqkAr__vkirl_y=x[Vxq?Fwh`ulwkO?aOhvqOghwwki_dfyk?toPoOflep[PP_bAyy@mY^]iW^<ir^Yr[?iXyhIXvainPYtL`_EwoGYpMfpdoxywjDOpnGsjh^hFeS_goFuUg`gi[wPwUQ[yGafHnlg^LH]WOgkXcVwurhb_XyF@`xH^lqeVYfavcGGfdnZhPePYeLYbO^paNhsfscNc:Ff^@Z<>tl`o^aiU_m\\AifpeeOl_Hg:isJ_thqphXv]pgUAfZHav`dUA]gfoRgoD@lf@cLYeVyfQ@iyAZm^s_?xvfegyh]Nj?y_UidWQofieUPosnZkpkhgcbqeOhpg@b:Qp:fhSXioFylpr\\F`KJ\\DpMhoFUN^as[PxrPJOpN\\dsehkxpRN]OZ<jj`X>lqoLOeePCinSLykLM;QWp@Nbuu@xxixjZaSHUqk@QhQRHDRNXPKMXRIJreNR<pA`YAdS`tkaPjVtmUHl@AU?Ut\\TKd\\Ox@RkLKLhPwUNWarP]uuQrHeQSqjGxTQiR?=wVItDqxRlLKeTmPtn@PBUSOUvLPMkpnGxQy@p]dkAap[luvINODncAr`qw[<R:<OWpuiyQAXyrPxwIVEytCiUEAYaim=tR`iVlet`eVjtpVEupPt`QsKiSP@WNtj_dKoeo^YlhDYAEVxyUrUwrLMrtwb`vmEYF]MhpOf]K>QNDTlPXMeeLSeVeettmQ;=RNTUm=U:LmfemnuSCPUW]XG\\lSPUM]YoLQcINilOdHmdMuKiJlPVA<Tq=SmLRumkZlLD\\X@aXuelHmwlmXquP>pvR@U^EPVDr;IWJYRRhqq]sOMSqxnITJJqV^PnAHSFqx_XQEYXVTyGQVTQlLEjgpOqPjD=RPYVlAxIhvIYju<KXuna@lnPNXiUDLvZqTqto[=w;UlBAnMEL_InTMsgEpCPOLEUN]x=TPn<Y[]r]Axc]lWPl[MM]HVk@YKpl\\aJ_IPFIL_lYRURBtWoQWD<UCmkndMftVyeWiEyvTpKLlpAtbTwomjXpp=dQ[]vuuOyxoKxr^Mxr]y`Qs=yvgeVcPNEqj@IqOhoZ<Jn]X`er[@sXMQbqkT`Svuw<IXr\\Y`utMXkCeVhlmimkO]RXeKoiMeQRthTJDkUPL?uTZ=tXTueEoTDWyHuilJFLkhQJ]UwjQpYEK=YXShrgYwn\\J:qmQxRqlbCnnSae[qolo`agjkHeTojLqx^ImWAZMh_i?hdaj\\f`hnsHwhXv`WamiH]ig]w?eOW]rGtUXpEwo?WpiQhHYegXsU?np@nYYrd_mlFeX_n?hih`qsxe<?hvipvnmwFuQQ[sXb;xqTG`WYoua[[^jGXcTokOQeNwhPOwDiqp?g;NgqY^folp>sVOgtVrVF_?iuVqn@ndpPbWanHnZuvatn\\Naj>@^kWioWa;g`Ciub?cKQoNW[TG\\AA[=wu=aqaX`lnchgfs`kOptPAuHqdoPuEHqEhg?g]OnZtP_I@Jif]WBD=hj`JihWedsBIJfQVpqQ?YkttRwHUUesSuKPMvIIwVlT]asb\\R@MNkH\\]V_IIkiod?itG^q[xpnPuOxl?WgSfdDOfb`gd_\\tipfod\\_xVaxjQfOVhpvl>akiHbw^oWx^P_Z``k;xZfh]n_yUFpvWfIIhrx]U>skqkAWk@avrXymQgDQZeq_:g__H]M>h_@lt@gAQhPHZx`[f`amxtSoe?gvrnqSorlGyVwd_vk;pgS^`OibFhtVOwhadXql>fiJggj_jhPmC`aCaa^>yrIp?_e^gbKIs;h]q_ep`dhaolAuWXig_`IG^bhfiYt_PcYQlRG\\AH`[VmuFs_p_d^\\tPnSFZXflBX]G_t;Fbing=yxYqLmvj[FKgGmsgkOxOOwp]iQQf`CGbCBGkthMgLOYegtcSbK;xWOyPutEqcvEYrgwiwBqUu]UDPktDKVteEHmY\\]fLuXSCIp_cDUuguggkXmOU?IRXqBGOr;CXr=YEctHWHumulUXdAUISwf?EY=v[yGaSYqMbIWtRUex]dPcdRmgpKevMCOCFpMcpkRPQVWucVCUdqCGEI_kDWkE_gUOYieiuAQvjAYF[IVOyeOByQrTOroOrw;u^GG_qR=et\\GXaAiNAwFOUsMfpabdYylyv]CevmIqgwO=s`UU`kIyUfGibPUrhmE:eso;cOgGp]em?WZQEPKg`;CNis_SyNyB=Gy@?rIOcTiVq_ssITPeUC=dNWd^?bb]i_AigexkQYVwgoYfIgBqIFKiWZMHsghjqTogB>CFbeVeoV=euw]H`svWmgvkGaowEAIxsHWAwAafmShPUhg[Sqyf\\khgGsrQWU;dkExIoSyICcUHsuy>MFm=IsAevsdcUT`mBIitA?fwObdatfWFmsdhSipogEIiDQCV;b@uuJSgbOciCsKOeuEtPsw]IdFwuP?sgqB?asHEt@mfR[CtGunqrCgCMefs?tn_BSOuvwHWSX>MYgqrx[F]_unIETHVXHXamMwxrVXxfmsi]rrtyITpThn==rjEWeiqphub\\OPQtphpUUp=yY:\\QtYoLqq`ej<QOdhkQyRwIx?<rsuo_pVoevVIuvdL_qMOLscUN=IWnhQCdscyUBySqISKDwppXolth`SHUwf=t_ekR@;v^TNxTyZPxhPWhGG]_Nappog?`\\ix[`[Zp_DOgKOm:VkmablNriocoxq=XiPyh]_ukOxe>sKGoghtn`yp?lnoyCItO@bDqrmH]HXk__gtpyUFjTvy:^gPa`]NrDQZDx[InogVwLhssHnofkYWfNixFGdd?_nG_<pZCYg?gm[WpCF^>nbR`pcQ^WHmWFiJglMVjThr>?n;VmKFcnygcQhdavwYvDIuCavmo]yvR]EqgfUWeIgTO;Wqeu_wWEQWWet^AUuWg]?yDuSW?w_AcKuuiSTbkweQxy;r=it>UfjmuCxS_AQf\\kF\\MFMSSIw\\\\qtQXdMyh\\pDXOYmv;iOSQTEiU?AvdIouPWVLMIDkTaSB<NZTWgylm=TQxOEtQc@TW=ULaW?YsRInKEUnlVyXMo<mM<rGUKTUVbUSg@UcPNq\\v`Dwe@ln@NlhPL=vFPsqtuvYtlyjNto@DncOg:FusnkdWifpoEa_?YhrwpUFhch\\PxnUVotY[n_Z\\WdsYhZYlB`]?_q?prKXlO_jhp_DV[epnuPgh`otprsVoi>fshuX^vuf_teX[gUEta?hjubAEfEAVfsxfCUM_cEECD?IMShCItrQCIAY]_RuIcXYFmORpEYUaDCEV^SEcUIUCwsiUOEd_UB=orqKtgaX^YiEItE_fQYtDWfkQUtIykQcMgFPqcWeReSCdKIWoEqcTikdU_dMIFrWDyYuliY@EVkyw>MflEeCucqkCXQVwWgcWIowroWWrKWoScKeghQCU[E:ACswVlWCvWxZQT`Yg;ec_Qcg]fQqfb;dyiB<Sc<OdC?DdOGRctn_C\\GIsUiEqiSwePiVKqg^Ky]qGHiCh[F:cFTaF<_iMAHjiyIMskCYVmVG=yoshrwywGupYyemUmSxxig?gUpiCboCoOUYeXpmTCcFHgDQWyL]HIYTCUvl?uPqvSQu_qi=Git]SukHF[ciMX=uEoue_[cnEYggSpud\\?Rf?Dtqx<CVkKxZAhB[CcWwmYYt?W>GF@owWmxP;gqEy=CtKoh^cc^UICoEF_GMiuY]UEGc]kDd;d=cHDkBmwXg]GWEULMxSisCKHs_uMuTOwSKYYTXsl\\NpDp\\iLahuBPqbYkcPUZxKKmOxYOIlsaXk@QveQpeYo@yrhDn_ysxttO<n:qXsTjw]k@tVwqJ`ancmTpgjmVvK>]B`R?sKivuebAWuD_EeoWBiIWgw_oVO]xDGb>=flUc?GVLYFPMHSMr\\YtbKs>gtkgFoWRTOhRGb^yFgIGt=w\\UGfQrbQwhQRksstqrkljqmKl]M`uq_pRa]VKUxgpPW=uIxKypvwlL@ev_ps_autHj`XN`qTXHveaUipNlmsyLsrlSQynEdvr\\yfMkOPodTKEmNIywstNweuOARf\\wgiK[PQbaXLisltQCLqODSglUNMs>qy>QosLjupTHMo`IlTpX\\qn<aKBuVilpMQycMJELlfpVQTXQHonHLCqwVELc=n;yUHynjLuxas\\tXftmwEYGyoVHuneTdmV_mn<MkfAS>]PSeucpKETt]QuaPpntTTqXYqXuhLqxwOqkG<SxaUvPrt=xQpkxLwfQR>]Y`ypOiKTLpdPpqIskloVQMVxxTTYgqYd]w=@qEUp`etYhTx]LOXngdnkTPW`ocXySTl`ms@yRWYUQqp<qJjAKy\\NZtR:qU]hNHYTAUtEqtj<rT\\TFDPnUwNUo@Ms:]JDMx;UNIHMKytwHYt=QvlyP\\Kf\\rRxsAAufdopqSaumreqf\\WUdk;uWZqq_EtOmWgImRew:YOypOxIqK\\VS`QhmRpivGdLYenUUOgXMuaUXHQAQyuPVkTxQqk>hYdTQt@ttLob`u_uqCyk?^xxA]]i\\QheMy\\onoVgb;Hx:Fw;FdRWrtgm=WoU@iP_mhGc``xTG_AvlE>^lP]GoZ=PnG`^XxuygnRNprvwqgfkaeDxfZGhRHwTGi?^yj`oUYfHnx@w^UIeXWve`gNipZ`y<phxAsMvla>wfn_]WkxwaLhvl_go`Yyb[gc<OwNmhkSxxoWeohhYCV;Bg]FvetWwYn_c`;Vv?sHCBsux\\Oh:GsMOHCgIA]EQ=ekOcoQX>KVKedb[dwUVrqBccG\\Aw@otl?rOwRCKB>gcHqG@_EoUyr[sfGBVIxb=Rc_iiuU`OHXgtACfgesJQb>=iRoxmUeg?F>=gPUfe?h\\SGEwdlOW:oBjKb<=r;qUruYVEFkmesYuaGSOUxaqVJMgdCdcof\\ivOYBVMW>_gESGDWwdWEEQYPEeRCi[ebgKeFIH]CdRAKFZkJ@;::::::::rIyYp:::::::::3:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlK01GKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQhKipGKi0lKUNISUxEUkVORzYi</Drawing-Root></Image></Text-field>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5149" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5131" 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="L5112" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">The extended SEIR</Font><Font family="Arial"> model with births and deaths can be described by <Font bold="true">four 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="L5123" 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="L5122" 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="L5121" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred">:</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="L5120" 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="L5109" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</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="L5116" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiOkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiOkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</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="L5118" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of exposed 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="L5119" 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="L5150" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred">:</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="L5144" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of infectious 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="L5143" 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="L5148" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred">:</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="L5146" 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="L5151" 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="L8500" 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="42.7040395713108%" captionalignment="0" showinput="true" captionposition="1" id="Table2" alignment="left" randomized="false" labelreference="L5136" showgroup="true" order="row"><Table-Column weight="23" separator="true"></Table-Column><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="20" separator="true"></Table-Column><Table-Column weight="19" separator="true"></Table-Column><Table-Column weight="429" 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="L5135" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</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="L5147" 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="L5145" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5127" 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="L5130" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8" family="Arial">birth and death rate, 1/\316\274=life expectancy</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="L5138" 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="L5137" 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="L5139" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5115" 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="L5141" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">infection 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="L5111" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</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="L5114" 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="L5128" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5126" 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="L5125" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">exposed (infected) to infectious 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="L5140" 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="L5108" 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="L5117" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5124" 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="L5113" 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="L8501" 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="L8502" 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="L8503" 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="L8504" 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" inline-output="false" labelreference="L8505" 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="L4650" 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="L5155" 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="L5169" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5172" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5174" 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 four parameters</Font><Font family="Arial">:</Font></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="40.499457111834964%" captionalignment="0" showinput="true" captionposition="1" id="Table3" alignment="left" randomized="false" labelreference="L5158" showgroup="true" order="row"><Table-Column weight="53" separator="true"></Table-Column><Table-Column weight="75" separator="true"></Table-Column><Table-Column weight="25" separator="true"></Table-Column><Table-Column weight="220" 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="L5160" 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="L5168" 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="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="L5166" 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="L5167" 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="L5171" 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="L5170" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlEjZEVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYmLUYxNiZRInRGJ0Y0RjdGOkY0RjdGOkY3L0Y7USdub3JtYWxGJ0Y0RjdGOi1GIzYmLUYxNiZRI2R0RidGNEY3RjpGNEY3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOUY3RkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlEjZEVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYmLUYxNiZRInRGJ0Y0RjdGOkY0RjdGOkY3L0Y7USdub3JtYWxGJ0Y0RjdGOi1GIzYmLUYxNiZRI2R0RidGNEY3RjpGNEY3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOUY3RkU=</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="L5173" 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="L5154" 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="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="L5164" 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="L5165" 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="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="L5162" 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="L5163" 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="L5157" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(4)</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="L5159" 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="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="L5156" 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="L5161" 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="L5152" 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="L5215" 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><Font family="Arial">:</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="20.19543973941368%" captionalignment="0" showinput="true" captionposition="1" id="Table4" alignment="left" randomized="false" labelreference="L5207" showgroup="true" order="row"><Table-Column weight="68" separator="true"></Table-Column><Table-Column weight="30" separator="true"></Table-Column><Table-Column weight="88" 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="L5188" 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="L5180" 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="L5181" 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="L5190" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</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="L5196" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlElJmluO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlElJmluO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</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="L5199" 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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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjs2LlEifkYnRjRGN0Y+L0ZBRjZGQ0ZFRkdGSUZLRk0vRlFGTy1GMTYlUSIxRidGNEY3RjRGN0Y0RjcvJSZjbG9zZUdRIl1GJy1JI21pR0YkNiNRIUYnRjRGNw==</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="L5178" 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="L5179" 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="L5184" 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="L5185" 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="L5182" 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="L5183" 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="L5216" 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="L5200" 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="L5186" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">The <Font bold="true">basic reproduction ratio</Font> </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdmYW1pbHlHUSZBcmlhbEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y7RjIvJStleGVjdXRhYmxlR0Y3Rjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdmYW1pbHlHUSZBcmlhbEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y7RjIvJStleGVjdXRhYmxlR0Y3Rjg=</Equation><Font family="Arial">, for the 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="L5187" drawlabel="true" applyint="true" applyrational="true" applyexponent="false" redirect-target="L5831">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEmJnJobztGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjstSSNtb0dGJDYuUSJ+RicvJStleGVjdXRhYmxlR0Y3RjgvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZXRkEtRkI2LlEiPUYnRkVGOEZHRklGS0ZNRk9GUUZTL0ZWUSwwLjI3Nzc3NzhlbUYnL0ZZRmhuRkEtSSZtZnJhY0dGJDYoLUYjNigtRi82JVEnJiM5NDY7RidGNUY4LUZCNi1RJyZzZG90O0YnRjhGR0ZJRktGTUZPRlFGU0ZVRlgtRi82JVEnJiM5NjM7RidGNUY4RkUvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRidGOC1GIzYpLUkobWZlbmNlZEdGJDYkLUYjNiktRi82JVEnJiM5NTY7RidGNUY4LUZCNi1RIitGJ0Y4RkdGSUZLRk1GT0ZRRlMvRlZRLDAuMjIyMjIyMmVtRicvRllGaXAtRi82JVEnJiM5NDc7RidGNUY4L0Y2USV0cnVlRidGRUZoby9GOVEnaXRhbGljRidGOEZiby1GXnA2JC1GIzYpRmJwRmVwRmVvRl5xRkVGaG9GYHFGOEZecUZFRmhvRmBxLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zbci8lKWJldmVsbGVkR0Y3RkVGaG9GOA==</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L5841" 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="L5204" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1</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="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1</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+\316\274)</Font> is the average infectious period. Setting equations (1)-(4) equal to zero and solving these for the equilibrium solutions of </Font><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation><Font family="Arial">, </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==</Equation><Font family="Arial"> and </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1GLDYjUSFGJ0Y9RkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1GLDYjUSFGJ0Y9RkA=</Equation><Font family="Arial"> in dependence of the parameters </Font><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation><Font family="Arial"> and </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUY1LyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUY1LyUrZXhlY3V0YWJsZUdGMUYy</Equation><Font family="Arial">(e.g. by using the Maple procedure <Font italic="true">solve()</Font>) provides the following equilibrium solution:</Font><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="L5191" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="65.08785332314744%" captionalignment="0" showinput="true" captionposition="1" id="Table5" alignment="left" randomized="false" labelreference="L5193" showgroup="true" order="row"><Table-Column weight="44" separator="true"></Table-Column><Table-Column weight="28" separator="true"></Table-Column><Table-Column weight="298" separator="true"></Table-Column><Table-Column weight="44" separator="true"></Table-Column><Table-Column weight="438" 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="L5192" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjVGQA==</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="L5202" 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="L5205" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5195" 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="L5212" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EmJnJobztGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJSdpdGFsaWNHRjRGMkY1LUY+NiNRIUYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGRi9GRVEldHJ1ZUYnRjIvRjZRJ2l0YWxpY0YnLyUubGluZXRoaWNrbmVzc0dGMS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHRjRGMkY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EmJnJobztGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJSdpdGFsaWNHRjRGMkY1LUY+NiNRIUYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGRi9GRVEldHJ1ZUYnRjIvRjZRJ2l0YWxpY0YnLyUubGluZXRoaWNrbmVzc0dGMS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHRjRGMkY1</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="L5826" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L5827" 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="L5828" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5829" 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="L5830" 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="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="L5203" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L5208" 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="L5206" 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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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1JJm1mcmFjR0YkNigtRiM2Jy1GLDYmUSUmbXU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGOy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGPi8lJmZlbmNlR0Y7LyUqc2VwYXJhdG9yR0Y7LyUpc3RyZXRjaHlHRjsvJSpzeW1tZXRyaWNHRjsvJShsYXJnZW9wR0Y7LyUubW92YWJsZWxpbWl0c0dGOy8lJ2FjY2VudEdGOy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlUtSShtZmVuY2VkR0YkNiUtRiM2KC1GLDYmUS4mYmV0YTsmc2lnbWE7RicvRjpRJXRydWVGJ0Y8L0Y/USdpdGFsaWNGJy1GQjYuUSgmbWludXM7RidGPEY+RkVGR0ZJRktGTUZPRlEvRlRRLDAuMjIyMjIyMmVtRicvRldGYm8tRiM2Jy1GWTYlLUYjNigtRiw2JlEnJiM5NTY7RidGOUY8Rj4tRkI2LlEifkYnRjxGPkZFRkdGSUZLRk1GT0ZRRlNGVi1GQjYuUSIrRidGPEY+RkVGR0ZJRktGTUZPRlFGYW9GY28tRiw2JlEnJiM5NDc7RidGOUY8Rj5GPEY+RjxGPi1GQjYuUScmc2RvdDtGJ0Y8Rj5GRUZHRklGS0ZNRk9GUUZTRlYtRlk2JS1GIzYnRjZGYHAtRiw2JlEoJnNpZ21hO0YnRjlGPEY+RjxGPkY8Rj5GPEY+RitGPEY+RjxGPkY8Rj4tRiM2KS1GLDYmUScmIzk0NjtGJ0Y5RjxGPkZmcEZkb0YrRmpuRjxGXG8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmpxLyUpYmV2ZWxsZWRHRjtGPEY+RitGPEY+</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="L5198" 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="L5217" 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="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="L5210" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L5209" 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="L5214" 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" hide-input="false" hide-output="true" inline-output="false" labelreference="L5197" 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="L5201" 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="L2035" 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="L5222" 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 SEIR model exists in different flavors and parametrizations, the model as presented here follows Keeling/Rohani[2008].</Font></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 SEIR model: Infectious Disease Nonlinear Compartment Model 3</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="Table8" alignment="left" randomized="false" labelreference="L6063" showgroup="true" order="row"><Table-Column weight="90" separator="true"></Table-Column><Table-Column weight="110" 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="99.2248062015504%" captionalignment="0" showinput="true" captionposition="1" id="Table6" alignment="left" randomized="false" labelreference="L6119" showgroup="true" order="row"><Table-Column weight="321" separator="true"></Table-Column><Table-Column weight="319" 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="L6112" 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 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="L6114" 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">Exposed (Infected)-to-Infectious rate (\317\203)</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="L6111" 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="0.2571429" 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="250" pixel-height="40" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SEIRmodel:-MakePlotSEIRsol() ;
</MapleCode></EC-Slider></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="L6115" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="``" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation><EC-Slider id="Slider_sigma" tooltip="Infected-to-Infectous rate" lower-bound="0.0" upper-bound="2.0" control-position="1.0" 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="false" pixel-width="250" pixel-height="40" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SEIRmodel:-MakePlotSEIRsol() ;
</MapleCode></EC-Slider></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="L6117" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="10" family="Arial">What happens when<Font encoding="UTF-8"> \317\203 = 1.0 as compared to \317\203 = 0.1? <EC-Plot id="Plot01" visible="true" pixel-width="600" pixel-height="400" continuous="false" delay="100" fillcolor="[255,255,255]" clickx="1.7976931348623157E308" clicky="1.7976931348623157E308" hoverx="0.0" hovery="0.0" startx="155.26821694895966" starty="0.48583290001287205" endx="0.0" endy="0.0" clickdefault="false" labelreference="L4956" 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%7dw7$$""!!""$"#**!"#7$$"+05_^5!"*$"1^.$z#3$>*)*!#;7$$"*"QWm>!")$"1Bvr0o)y()*!#;7$$"+#>q`*H!"*$"13GGk7Ag)*!#;7$$"+mp6JS!"*$"1"fHRD(>U)*!#;7$$"20++q,T>1&!#;$"/;(*zh`C)*!#97$$"+nok<g!"*$"1T)3zgJ&3)*!#;7$$"+<\A2q!"*$"1*fg'GnO#z*!#;7$$"1*****H&zkI!)!#:$"1w+"R<#4w(*!#;7$$"+e))y]!*!"*$"0lkFD=.w*!#:7$$"+<H,55!")$"1[0#QDdXu*!#;7$$"+p)QC5"!")$"1lT2+@1J(*!#;7$$"+*f)[17!")$"1E6z5)*H;(*!#;7$$"+ob'4J"!")$"1))f"H*3$>q*!#;7$$"+([[;T"!")$"1R!zBm4&)o*!#;7$$"+B#yI]"!")$"1A#p7C!ow'*!#;7$$"+Aqz6;!")$"1\*GEo_Im*!#;7$$"+0h*Qq"!")$"1G8_sp(=l*!#;7$$"+M#H5"=!")$"/D(>&oHR'*!#97$$"+1-'e!>!")$"1%oqO>L&G'*!#;7$$"+7[!*4?!")$"1eKqd*>rh*!#;7$$"+"))z*3@!")$"1&zqekJmg*!#;7$$"+AVN7A!")$"1c]BJs2'f*!#;7$$"+HVG2B!")$"1`-^t&Hne*!#;7$$"+n"z'4C!")$"0Jy#33,x&*!#:7$$"+D'Qg^#!")$"1YK;0"4tc*!#;7$$"+Y[i3E!")$"1cs6%[%=f&*!#;7$$"+-0i3F!")$"13czS#R2b*!#;7$$"+)zD>"G!")$"1([d)zvOU&*!#;7$$"+w)*)H"H!")$"1LJ>:$=X`*!#;7$$"+pXx5I!")$"1UJDe&Qs_*!#;7$$"+)zZ$>J!")$"1#G[C<6&>&*!#;7$$"+uc!p@$!")$"1`o*>b!)G^*!#;7$$"+H&p5K$!")$"1%f(z5571&*!#;7$$"+kuX:M!")$"1be.(\v-]*!#;7$$"+2%['=N!")$"0p'ohE=%\*!#:7$$"+WIu:O!")$"13*eP#zs)[*!#;7$$"+:\B<P!")$"1v+:%33L[*!#;7$$"*xhk"Q!"($"1H6hH<Gy%*!#;7$$"+#4V.#R!")$"1sr\0<It%*!#;7$$"+^JR?S!")$"1bX^:=xo%*!#;7$$"+(y3F7%!")$"1"*zr#Q.WY*!#;7$$"+*>xTA%!")$"0e.PYG.Y*!#:7$$"*8;uJ%!"($"1v(p`d/oX*!#;7$$"+o%yUU%!")$"1(4#GW#>IX*!#;7$$"+<u&)>X!")$"1)QEoMd)\%*!#;7$$"+6Xw@Y!")$"/\K(*GrY%*!#97$$"+/EI>Z!")$"1rO+4q"RW*!#;7$$"*71w#[!"($"1MqH550T%*!#;7$$"+3!*Q@\!")$"11DN,nwQ%*!#;7$$"+CM$y-&!")$"0PF=+!RO%*!#:7$$"+af%[7&!")$"1%*z#\i=WV*!#;7$$"+:C'4B&!")$"1RCEq*oCV*!#;7$$"+vH_A`!")$"1*z@fmb4V*!#;7$$"+l(*zEa!")$"17MwktTH%*!#;7$$"+'*f_Fb!")$"1XDoeM6G%*!#;7$$"+Dk=Gc!")$"1B?hTR)pU*!#;7$$"+VlZGd!")$"1ZL]7h-E%*!#;7$$"+\R#[#e!")$"1:\Yy*e_U*!#;7$$"+Y!y*Gf!")$"1Z#=%fLfC%*!#;7$$"+`WCGg!")$"1&GEKZ7TU*!#;7$$"20++In<F8'!#:$"1.[&z4jPU*!#;7$$"+%4"HFi!")$"1G.'HG"eB%*!#;7$$"+GC"=L'!")$"1FuIwV_B%*!#;7$$"+ac#>V'!")$"1v8PfsgB%*!#;7$$")_zJl!"'$"0o?/e>QU*!#:7$$"+H$4hj'!")$"1JQ%[6vTU*!#;7$$"*X'=Kn!"($"0E9je>YU*!#:7$$"+jDeIo!")$"1ZK;.t=D%*!#;7$$"+kNARp!")$"0sgJ.UfU*!#:7$$"+#4*ePq!")$"1Ly%GBPnU*!#;7$$"+pi=Qr!")$"18N!*>mlF%*!#;7$$"+25\Ss!")$"1lYTmypG%*!#;7$$"+p*GXL(!")$"1=SbMiuH%*!#;7$$"+"RqZV(!")$"1VB.<n&4V*!#;7$$"+p([U`(!")$"1r7zx&\AV*!#;7$$"+6(f1k(!")$"1M'3u))HPV*!#;7$$"1******eFcMx!#9$"1P?;4n6N%*!#;7$$"+#Q2H%y!")$"0Rex-2oV*!#:7$$"1,++^+oSz!#9$"1e"*G*H7%Q%*!#;7$$"1,++(*4UP!)!#9$"1evU4C2S%*!#;7$$"+#f[99)!")$"14'yiBM>W*!#;7$$"((*eC)!"&$"1eo[v.)QW*!#;7$$"+'eH4M)!")$"1Uu(=D:dW*!#;7$$"1*****4(*\=W)!#9$"1-Y([2GxW*!#;7$$"+.%Q.a)!")$"0)R&Qo`(\%*!#:7$$"+.45Z')!")$"1L$>t+:?X*!#;7$$"+[,[R()!")$"1&)f5)[CSX*!#;7$$"*2"eX))!"($"1L:ky-Rc%*!#;7$$"+9:KX*)!")$"17ht(>o'e%*!#;7$$"+u&)4W!*!")$"1B.i.L(4Y*!#;7$$"+7U&H9*!")$"1Ex[1rKj%*!#;7$$"+12yV#*!")$"1zlJ")Rxl%*!#;7$$")^l]$*!"'$"142WihTo%*!#;7$$"1*****RX['[%*!#9$"1a!epa!)3Z*!#;7$$"+x/QX&*!")$"1Av)*z/Nt%*!#;7$$"+=ay['*!")$"1:o+S(HgZ*!#;7$$"+b_'>v*!")$"1i"HoCT(y%*!#;7$$"+'GvX%)*!")$"1%oRdv07[*!#;7$$"+Y&yU&**!")$"1HI&*33;%[*!#;7$$"+:tg/5!"($"1sds*fhm[*!#;7$$"+CPM:5!"($"1;v)Q?<'*[*!#;7$$"+(e!fD5!"($"0([[#4nC\*!#:7$$"+:)RZ."!"($"1URqoU.&\*!#;7$$"+z!H]/"!"($"0CFJHXz\*!#:7$$"+ZlQb5!"($"1)*e5x'**3]*!#;7$$"+(y%pl5!"($"0$\amB'Q]*!#:7$$"+Y=Dv5!"($"1@N3+xi1&*!#;7$$"+Fw9&3"!"($"1$G/*Q&3&4&*!#;7$$"+d=Q&4"!"($"1\F,/`]7&*!#;7$$"+mKe06!"($"19&**[w3b^*!#;7$$"+pm2;6!"($"1WnT'y8'=&*!#;7$$"+k#>`7"!"($"0Daeng8_*!#:7$$"+QUsN6!"($"1Op[M_YC&*!#;7$$"+M><Y6!"($"1A32IVfF&*!#;7$$"+E-Cc6!"($"1$*R<E)>1`*!#;7$$"+*>$Ql6!"($"1&pe5#\PL&*!#;7$$"*3bi<"!"'$"1P"*oW$fm`*!#;7$$"+()\Y&="!"($"1h!o-(yWR&*!#;7$$"+,$yh>"!"($"0>n9k(pU&*!#:7$$"+(Rhc?"!"($"1R%fO")yba*!#;7$$"+fe1;7!"($"1h99LRu[&*!#;7$$"+lL(fA"!"($"1kKyk4w^&*!#;7$$"*"3JO7!"'$"1O&=T@6\b*!#;7$$"+6Q!eC"!"($"/je4a!yb*!#97$$"+%HVgD"!"($"1AY$)\x#4c*!#;7$$"*CzmE"!"'$"1G?)zwqTc*!#;7$$"+iy$fF"!"($"1O!*Q)*H*pc*!#;7$$"+Gu$fG"!"($"0jZ!o&R+d*!#:7$$"+dzE'H"!"($"1ax"4f%=t&*!#;7$$"+lVP18!"($"13imD$eid*!#;7$$"+NG:;8!"($"1,&GS")G#z&*!#;7$$"+d,,F8!"($"1/ZF+B_#e*!#;7$$"+WfwO8!"($"1[j-SoZ&e*!#;7$$"*L#=Z8!"'$"1A*)R>ei)e*!#;7$$"+C6ic8!"($"1;p!est9f*!#;7$$"+=-%pO"!"($"1\O4Q1e%f*!#;7$$"+#o\mP"!"($"1_$Rw@(\(f*!#;7$$"+p))z'Q"!"($"0-BQPQ0g*!#:7$$"+a:s'R"!"($"1">&RBQ].'*!#;7$$"+(o4rS"!"($"1OM$3f*f1'*!#;7$$"+#p9rT"!"($"1>N4?Ad4'*!#;7$$"+ciMF9!"($"1u.x#f-Eh*!#;7$$"+(4$\P9!"($"1xk)f!zf:'*!#;7$$"**p"oW"!"'$"1-Ms17M='*!#;7$$"+CK]d9!"($"1>kr&Hu9i*!#;7$$"+>61n9!"($"0#4"fAmUi*!#:7$$"+H=Dx9!"($"1<u=()=BF'*!#;7$$"+Qc+(["!"($"1A6d7$f+j*!#;7$$"+*)f$y\"!"($"1()Recd=L'*!#;7$$"+yU@2:!"($"0&opt;)ej*!#:7$$"*sey^"!"'$"0U->`G*Q'*!#:7$$"+s*fv_"!"($"1*eo$fIpT'*!#;7$$"+>;<Q:!"($"1#)Gh;KqW'*!#;7$$"+vwKZ:!"($"113+R')GZ'*!#;7$$"+``vd:!"($"1@')Gg&>-l*!#;7$$"+wz#yc"!"($"0'*QJwOIl*!#:7$$"*-%*yd"!"'$"1RJQo#Qel*!#;7$$"+KI#ze"!"($"1%\'4lahe'*!#;7$$"+sxb(f"!"($"1f,=8,Fh'*!#;7$$"+"=tzg"!"($"1dl:=\7k'*!#;7$$"+B)**yh"!"($"1__a\6$om*!#;7$$"+WrMG;!"($"1r$*3+Qmp'*!#;7$$"+([/yj"!"($"1EI'[;9An*!#;7$$"*ic#[;!"'$"1CrZ(H<]n*!#;7$$"+UzEe;!"($"1"o-xx'ox'*!#;7$$"+(*[Do;!"($"1ck"QeM.o*!#;7$$"*J'oy;!"'$"1P:kGR3$o*!#;7$$"+BSH)o"!"($"1CA)4Q,co*!#;7$$"+MO8)p"!"($"1lN:#zk")o*!#;7$$"+Lx**3<!"($"1&H"zrv(4p*!#;7$$"+'GM)=<!"($"1(*)e2J3Np*!#;7$$"+0S*)G<!"($"1=UQg13'p*!#;7$$"+yW7R<!"($"1t?)3A!o)p*!#;7$$"+u#G&[<!"($"0;Wk1b5q*!#:7$$"+<Cbe<!"($"1#\eC/rNq*!#;7$$"+a-]o<!"($"1J!4![>01(*!#;7$$"+[89z<!"($"1DZ_&4)o3(*!#;7$$"+`;`)y"!"($"1A;%*)>**4r*!#;7$$"+:hO*z"!"($"1[b^B![Or*!#;7$$"+$QV"4=!"($"1e&z45Agr*!#;7$$"+xu")==!"($"1;^mweN=(*!#;7$$"+P-AH=!"($"18k$>Y[3s*!#;7$$"+x]mR=!"($"1')fDzLLB(*!#;7$$"+O$o"\=!"($"1)p@d$)ybs*!#;7$$"+v.Ef=!"($"1myU6t%zs*!#;7$$"+=#4"p=!"($"1nSqWFCI(*!#;7$$"+oayz=!"($"1r]=xJrK(*!#;7$$"+#RB!*)=!"($"0j!G%yN[t*!#:7$$"+%[L'**=!"($"1v?w*[cst*!#;7$$"+Gvg4>!"($"1H))e^`^R(*!#;7$$"+N_[>>!"($"1B7TpktT(*!#;7$$"+*zq$H>!"($"1:xC7N%Ru*!#;7$$"+[MXR>!"($"1N'G\Byhu*!#;7$$"+()39]>!"($"1l=F#**G&[(*!#;7$$"+B-%*f>!"($"1U(4H9o1v*!#;7$$"+DMhp>!"($"1y;hRXw_(*!#;7$$"+>R&*z>!"($"10fC7*))\v*!#;7$$"+->F!*>!"($"1jL4P8>d(*!#;7$$"%+?!""$"1sh6?ADf(*!#;-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q,Susceptible6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6%7ax7$$""!!""$"""!"#7$$"-D"G1?d'!#8$"1m%3(>+Zh$*!#=7$$"-Dc7S98!#7$"1zn'pl@Qx)!#=7$$".vV)=gr>!#8$"1p+n+S+L#)!#=7$$",D^-)GE!#6$"1dA6T+GNx!#=7$$"-voP?VR!#7$"1Lg#*[&*ebo!#=7$$"+D]gd_!#5$"1x1froS5h!#=7$$"-D"G1?d'!#7$"1w(>7(R3za!#=7$$",v`2k)y!#6$"1\'*[3-=W\!#=7$$"1***\Pz33?*!#;$"1wh&*>W)3\%!#=7$$"+05_^5!"*$"1N@Mk5q1T!#=7$$",vS#)*3:!#5$"1u4FO&z5<$!#=7$$"*"QWm>!")$"1=Rxa**oUE!#=7$$"2.++5+24[#!#;$"1$>'Qd#)Q:B!#=7$$"+#>q`*H!"*$"1ux;_P\R@!#=7$$"+zNC8N!"*$"1k,_Qy*>/#!#=7$$"+mp6JS!"*$"1X1ONQ&f)>!#=7$$"1,+]"**Gla%!#:$"2D\>8B7:&>!#>7$$"20++q,T>1&!#;$"2ow_0'z4G>!#>7$$"+nok<g!"*$"2Cb#G?Ei(*=!#>7$$"+<\A2q!"*$"2j*>m%f0D(=!#>7$$"1*****H&zkI!)!#:$"2z:*4d'4$[=!#>7$$"+e))y]!*!"*$"1'o[J^4X#=!#=7$$"+<H,55!")$"2M+'=1!\**z"!#>7$$"+p)QC5"!")$"2Z<_15q"y<!#>7$$"+*f)[17!")$"1)Q>Wd,Nv"!#=7$$"+ob'4J"!")$"2ZkJ3)odG<!#>7$$"+([[;T"!")$"2;a@pfiWq"!#>7$$"+B#yI]"!")$"2%RwwozZ#o"!#>7$$"+Aqz6;!")$"2BrOF-'Hc;!#>7$$"+0h*Qq"!")$"24\r!Q93M;!#>7$$"+M#H5"=!")$"2eaSCwN#3;!#>7$$"+1-'e!>!")$"2uxgF(eQ&e"!#>7$$"+7[!*4?!")$"2LC%=V%Q.c"!#>7$$"+"))z*3@!")$"2X=2nsml`"!#>7$$"+AVN7A!")$"20j9.pN=^"!#>7$$"+HVG2B!")$"2LL89z>#*["!#>7$$"+n"z'4C!")$"2CyFGpa\Y"!#>7$$"+D'Qg^#!")$"2928'*\z)R9!#>7$$"+Y[i3E!")$"2tSY'*R/#=9!#>7$$"+-0i3F!")$"2vxmojX\R"!#>7$$"+)zD>"G!")$"2Ky84!y4r8!#>7$$"+w)*)H"H!")$"27+YAWyzM"!#>7$$"+pXx5I!")$"2')[+5$yyD8!#>7$$"+)zZ$>J!")$"2_(pvn()R,8!#>7$$"+uc!p@$!")$"2b4dF\7(z7!#>7$$"+H&p5K$!")$"2,gu!\#)yc7!#>7$$"+kuX:M!")$"2$Gkc.UDO7!#>7$$"+2%['=N!")$"2zzz2i^S@"!#>7$$"+WIu:O!")$"19cY3AS$>"!#=7$$"+:\B<P!")$"2HDj3]'4s6!#>7$$"*xhk"Q!"($"2(HWr7N_^6!#>7$$"+#4V.#R!")$"2`w*f@*o-8"!#>7$$"+^JR?S!")$"2Gx%f//456!#>7$$"+(y3F7%!")$"0D\69I(*3"!#<7$$"+*>xTA%!")$"2Ep$p"oJ)p5!#>7$$"*8;uJ%!"($"1uh'>m?=0"!#=7$$"+o%yUU%!")$"1U$*y/9[J5!#=7$$"+<u&)>X!")$"/"[SNkN,"!#;7$$"+6Xw@Y!")$"1j(4&\1aZ**!#>7$$"+/EI>Z!")$"1OW]V9Hq(*!#>7$$"*71w#[!"($"1WGK)e=nd*!#>7$$"+3!*Q@\!")$"1:zUM!=>T*!#>7$$"+CM$y-&!")$"1AB-?U#zA*!#>7$$"+af%[7&!")$"0"=Ek@5j!*!#=7$$"+:C'4B&!")$"11&[f&o%e)))!#>7$$"+vH_A`!")$"1en0IaJN()!#>7$$"+l(*zEa!")$"1nFk2<*pc)!#>7$$"+'*f_Fb!")$"1.XS#f:wS)!#>7$$"+Dk=Gc!")$"1N6N>]J^#)!#>7$$"+VlZGd!")$"1OH3%*G\)4)!#>7$$"+\R#[#e!")$"1*4_#=h*Q&z!#>7$$"+Y!y*Gf!")$"1(*y,[i=+y!#>7$$"+`WCGg!")$"1ug]!*yXcw!#>7$$"20++In<F8'!#:$"1vnWB/S3v!#>7$$"+%4"HFi!")$"1Y8Hn%epP(!#>7$$"+GC"=L'!")$"1)e]1<GVB(!#>7$$"+ac#>V'!")$"1#Gtbbs-5(!#>7$$")_zJl!"'$"0^v8z"3pp!#=7$$"+H$4hj'!")$"1OLAhU#[$o!#>7$$"*X'=Kn!"($"1fz/U]j8n!#>7$$"+jDeIo!")$"1j[_jh%>f'!#>7$$"+kNARp!")$"1r4>**R9gk!#>7$$"+#4*ePq!")$"1-F#*z96Vj!#>7$$"+pi=Qr!")$"1O)o$RYjDi!#>7$$"+25\Ss!")$"1z*)3;0s3h!#>7$$"+p*GXL(!")$"1>XeQ9e.g!#>7$$"+"RqZV(!")$"1&e$*o!>z$*e!#>7$$"+p([U`(!")$"1$z2O'=!py&!#>7$$"+6(f1k(!")$"1'enh&Qiuc!#>7$$"1******eFcMx!#9$"1k$>()e,vd&!#>7$$"+#Q2H%y!")$"1#=*)R5#)yY&!#>7$$"1,++^+oSz!#9$"11j_M)Q6P&!#>7$$"1,++(*4UP!)!#9$"1k*)[<[Kx_!#>7$$"+#f[99)!")$"1uPCgJNy^!#>7$$"((*eC)!"&$"18N%H"o,"3&!#>7$$"+'eH4M)!")$"1T,d&zrU*\!#>7$$"1*****4(*\=W)!#9$"13*Gmg"4/\!#>7$$"+.%Q.a)!")$"1:1v5-*z"[!#>7$$"+.45Z')!")$"013JHpms%!#=7$$"+[,[R()!")$"21P+&p(G!\Y!#?7$$"*2"eX))!"($"1x44i$=:c%!#>7$$"+9:KX*)!")$"2ZnGeZU4[%!#?7$$"+u&)4W!*!")$"2k#GX0X+.W!#?7$$"+7U&H9*!")$"22x54VPnK%!#?7$$"+12yV#*!")$"1"*R9X9c]U!#>7$$")^l]$*!"'$"1\*[UH#GrT!#>7$$"1*****RX['[%*!#9$"2MfuS(*R+5%!#?7$$"+x/QX&*!")$"2l0&*R[s6.%!#?7$$"+=ay['*!")$"2918w!Q<fR!#?7$$"+b_'>v*!")$"2'zKfNw&*))Q!#?7$$"+'GvX%)*!")$"2Ew,Nd7r#Q!#?7$$"+Y&yU&**!")$"2D+![qP?bP!#?7$$"+:tg/5!"($"2X9,ws7ip$!#?7$$"+CPM:5!"($"1%HRKV<(GO!#>7$$"+(e!fD5!"($"1;IDq%=ec$!#>7$$"+:)RZ."!"($"2Z3JJf$*3^$!#?7$$"+z!H]/"!"($"1GOc)=C-X$!#>7$$"+ZlQb5!"($"2Z@752%>!R$!#?7$$"+(y%pl5!"($"1m=QhpjJL!#>7$$"+Y=Dv5!"($"2j!*oTMg&yK!#?7$$"+Fw9&3"!"($"2&4Q!QKO[A$!#?7$$"+d=Q&4"!"($"1'>(GyZ[qJ!#>7$$"+mKe06!"($"0h*))\SE<J!#=7$$"+pm2;6!"($"2$>li^f_jI!#?7$$"+k#>`7"!"($"2d)eyu_7<I!#?7$$"+QUsN6!"($"2W=m[pYg'H!#?7$$"+M><Y6!"($"12>XNw$f"H!#>7$$"+E-Cc6!"($"2.XkPcs'oG!#?7$$"+*>$Ql6!"($"1yh_v@SEG!#>7$$"*3bi<"!"'$"1nPW(pCqx#!#>7$$"+()\Y&="!"($"12rNYb,OF!#>7$$"+,$yh>"!"($"1i(yWsY%*o#!#>7$$"+(Rhc?"!"($"2Yls(z'f"\E!#?7$$"+fe1;7!"($"2cD/-J`eg#!#?7$$"+lL(fA"!"($"2W:#zN%=_c#!#?7$$"*"3JO7!"'$"16p]b1cBD!#>7$$"+6Q!eC"!"($"1a8z9&zg[#!#>7$$"+%HVgD"!"($"2Y,&4fpfYC!#?7$$"*CzmE"!"'$"1Hx&)*f@lS#!#>7$$"+iy$fF"!"($"2WhA<[fAP#!#?7$$"+Gu$fG"!"($"2)H)))4HydL#!#?7$$"+dzE'H"!"($"2B*RN7Tw)H#!#?7$$"+lVP18!"($"2yx$*o(=MjA!#?7$$"+NG:;8!"($"2(GTJYT&)HA!#?7$$"+d,,F8!"($"2sMQVt?N>#!#?7$$"+WfwO8!"($"1*>"3v[Sh@!#>7$$"*L#=Z8!"'$"1z*fHn'fF@!#>7$$"+C6ic8!"($"2QM'\0@Z(4#!#?7$$"+=-%pO"!"($"28)))4w>Gl?!#?7$$"+#o\mP"!"($"20:U6Q7d.#!#?7$$"+p))z'Q"!"($"13%Go^pa+#!#>7$$"+a:s'R"!"($"2%ez!4/7j(>!#?7$$"+(o4rS"!"($"2i3\@k7i%>!#?7$$"+#p9rT"!"($"1^CuH#Qx">!#>7$$"+ciMF9!"($"2eq#HR%=$*)=!#?7$$"+(4$\P9!"($"1_VaA)z<'=!#>7$$"**p"oW"!"'$"2tLA)p(pp$=!#?7$$"+CK]d9!"($"1HY*)\B()3=!#>7$$"+>61n9!"($"2B0Pem3Ty"!#?7$$"+H=Dx9!"($"1svPS!p"e<!#>7$$"+Qc+(["!"($"1j?@7Y&Rt"!#>7$$"+*)f$y\"!"($"2(=b+z')o2<!#?7$$"+yU@2:!"($"17V'>'GP&o"!#>7$$"*sey^"!"'$"2(Q98u#*Gg;!#?7$$"+s*fv_"!"($"1*ed$eDvP;!#>7$$"+>;<Q:!"($"2x*e%z?zNh"!#?7$$"+vwKZ:!"($"2D:RG^aKf"!#?7$$"+``vd:!"($"2)RY=J[gq:!#?7$$"+wz#yc"!"($"/mDJ@3\:!#<7$$"*-%*yd"!"'$"2LYM(>BxF:!#?7$$"+KI#ze"!"($"2\Tr/vWo]"!#?7$$"+sxb(f"!"($"1))y!=(\:(["!#>7$$"+"=tzg"!"($"2-0(*3D+kY"!#?7$$"+B)**yh"!"($"2W(=j5@1Z9!#?7$$"+WrMG;!"($"2aM$)4*>'pU"!#?7$$"+([/yj"!"($"1l8Q2O$*39!#>7$$"*ic#[;!"'$"28Qy6fy#*Q"!#?7$$"+UzEe;!"($"1&)y#)RO!4P"!#>7$$"+(*[Do;!"($"1<BQ=z-`8!#>7$$"*J'oy;!"'$"2.5$=MowM8!#?7$$"+BSH)o"!"($"1zN*p9"4=8!#>7$$"+MO8)p"!"($"2B=j!4%f6I"!#?7$$"+Lx**3<!"($"2vvWI"pt#G"!#?7$$"+'GM)=<!"($"0aI3&\]m7!#=7$$"+0S*)G<!"($"29I,1K*H]7!#?7$$"+yW7R<!"($"2'pWDzr8M7!#?7$$"+u#G&[<!"($"2Nz.8Mh$>7!#?7$$"+<Cbe<!"($"2:!zVu/w.7!#?7$$"+a-]o<!"($"1MSWO`^)="!#>7$$"+[89z<!"($"2*\(>&Rwms6!#?7$$"+`;`)y"!"($"2v!)RwT2!f6!#?7$$"+:hO*z"!"($"2a*>Qg+^V6!#?7$$"+$QV"4=!"($"2(QpOgTdH6!#?7$$"+xu")==!"($"2$fX26)=f6"!#?7$$"+P-AH=!"($"2")*=O2q\,6!#?7$$"+x]mR=!"($"2`:\m#>X(3"!#?7$$"+O$o"\=!"($"29Wj4Gk\2"!#?7$$"+v.Ef=!"($"2KYN4zi=1"!#?7$$"+=#4"p=!"($"2iL+(R**4\5!#?7$$"+oayz=!"($"2)oe$**f1a."!#?7$$"+#RB!*)=!"($"2`"fHMC"Q-"!#?7$$"+%[L'**=!"($"29LZq%G(3,"!#?7$$"+Gvg4>!"($"1x$*Gor#**)**!#?7$$"+N_[>>!"($"1-u`mJ2t)*!#?7$$"+*zq$H>!"($"1M)38eCkv*!#?7$$"+[MXR>!"($"17&)=9:cQ'*!#?7$$"+()39]>!"($"1j*zr&[)p^*!#?7$$"+B-%*f>!"($"1:I@kCi3%*!#?7$$"+DMhp>!"($"0RtDL`RI*!#>7$$"+>R&*z>!"($"1)=B_[IA>*!#?7$$"+->F!*>!"($"0o=(zp4"3*!#>7$$"%+?!""$"1#[Y^'fUx*)!#?-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q(Exposed6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$"#5!""$""!!""$"#5!""-%'CURVESG6%7ix7$$""!!""$""!!""7$$"-D"G1?d'!#8$"1")p1rN9/j!#>7$$"-Dc7S98!#7$"2(e1GC`857!#>7$$".vV)=gr>!#8$"2_fw))y)>V<!#>7$$",D^-)GE!#6$"2i73GoFLB#!#>7$$".D19.gG$!#8$"2WAo%Q0'Ro#!#>7$$"-voP?VR!#7$"1QCnrND)4$!#=7$$"2(**\(oR//g%!#<$"1N;=2g4zM!#=7$$"+D]gd_!#5$"22%*[G\h"HQ!#>7$$"-D"G1?d'!#7$"1%fd"3vhYW!#=7$$",v`2k)y!#6$"1E'RW*>*z'\!#=7$$"1***\Pz33?*!#;$"1972'*e.3a!#=7$$"+05_^5!"*$"1[e<SO>zd!#=7$$"-D1<D!G"!#6$"1\T2?%e8H'!#=7$$",vS#)*3:!#5$"1Gii_Boqm!#=7$$"-v3JrP<!#6$"1Duvx&Q0&p!#=7$$"*"QWm>!")$"20,zN*R#f:(!#>7$$"2.++5+24[#!#;$"1y.#ov.]V(!#=7$$"+#>q`*H!"*$"0.(>k**\iv!#<7$$",b)oIaK!#5$"1=n:qgt$f(!#=7$$"+zNC8N!"*$"1WYlVN%3h(!#=7$$"-vD>rUO!#6$"1'QAh@e`h(!#=7$$",DF!=sP!#5$"1yR+j;r<w!#=7$$"-D>'[;!R!#6$"1M9K2EB=w!#=7$$"+mp6JS!"*$"1>!pgk&=<w!#=7$$"1,+]"**Gla%!#:$"2:zZq$>d,w!#>7$$"20++q,T>1&!#;$"1x$Q'\MLuv!#=7$$"+nok<g!"*$"1:$QB&pL4v!#=7$$"+<\A2q!"*$"1'HuW'ReLu!#=7$$"1*****H&zkI!)!#:$"1la#)olY^t!#=7$$"+e))y]!*!"*$"1PT3#3_uE(!#=7$$"+<H,55!")$"2103nmx$zr!#>7$$"+p)QC5"!")$"18%=I;Q15(!#=7$$"+*f)[17!")$"1'4^:ZT3,(!#=7$$"+ob'4J"!")$"1-qzbzg>p!#=7$$"+([[;T"!")$"1$G*o)y"yIo!#=7$$"+B#yI]"!")$"1i')*\l![\n!#=7$$"+Aqz6;!")$"2%*f/h\+@l'!#>7$$"+0h*Qq"!")$"13+8[,8pl!#=7$$"+M#H5"=!")$"1**\vpJ<sk!#=7$$"+1-'e!>!")$"1(Hl(Qz.'Q'!#=7$$"+7[!*4?!")$"0&3"zkJ8H'!#<7$$"+"))z*3@!")$"1-&R"4(45?'!#=7$$"+AVN7A!")$"1tT7$[^n5'!#=7$$"+HVG2B!")$"1<<#f!fC?g!#=7$$"+n"z'4C!")$"1W_A#[oq#f!#=7$$"+D'Qg^#!")$"1/U**\eaIe!#=7$$"+Y[i3E!")$"1wU*p$yxYd!#=7$$"+-0i3F!")$"1_jKPLmcc!#=7$$"+)zD>"G!")$"1#)ft!eASc&!#=7$$"+w)*)H"H!")$"1U"**4#f)QZ&!#=7$$"+pXx5I!")$"1(>=wwGsQ&!#=7$$"+)zZ$>J!")$"1#yz"G9o"H&!#=7$$"+uc!p@$!")$"1V@!4J)[1_!#=7$$"+H&p5K$!")$"1lQ\WnG;^!#=7$$"+kuX:M!")$"0v')=TW_.&!#<7$$"+2%['=N!")$"2N+_@ohu%\!#>7$$"+WIu:O!")$"1EvQu;ol[!#=7$$"+:\B<P!")$"1-Jigu0"y%!#=7$$"*xhk"Q!"($"2&*y6JjE#*p%!#>7$$"+#4V.#R!")$"1lII)HTXh%!#=7$$"+^JR?S!")$"1C]d4T%R`%!#=7$$"+(y3F7%!")$"1L(3UE^DX%!#=7$$"+*>xTA%!")$"1ymp_s'GP%!#=7$$"*8;uJ%!"($"2CS1RNd0I%!#>7$$"+o%yUU%!")$"1;q2RVz=U!#=7$$"+<u&)>X!")$"12c%z$foYT!#=7$$"+6Xw@Y!")$"1eM*H#=(32%!#=7$$"+/EI>Z!")$"18V#Gbb$**R!#=7$$"*71w#[!"($"1p6WW<:@R!#=7$$"+3!*Q@\!")$"2j;"f\vXaQ!#>7$$"+CM$y-&!")$"2E/)p9u#*zP!#>7$$"+af%[7&!")$"2NHW8y"38P!#>7$$"+:C'4B&!")$"2x)\)3l`6k$!#>7$$"+vH_A`!")$"1;!*oxU5!e$!#=7$$"+l(*zEa!")$"2FjmT#fn6N!#>7$$"+'*f_Fb!")$"2(REMo%ymW$!#>7$$"+Dk=Gc!")$"2mp6ND<GQ$!#>7$$"+VlZGd!")$"2Bvt0Zw-K$!#>7$$"+\R#[#e!")$"1o5tE(e7E$!#=7$$"+Y!y*Gf!")$"2(yl9Pmg)>$!#>7$$"+`WCGg!")$"1_)HK")o*RJ!#=7$$"20++In<F8'!#:$"2b)=1AgMzI!#>7$$"+%4"HFi!")$"22jh,pYa-$!#>7$$"+GC"=L'!")$"2Vot8qop'H!#>7$$"+ac#>V'!")$"1[@qx3-7H!#=7$$")_zJl!"'$"20,"zs_AeG!#>7$$"+H$4hj'!")$"1`y!QG*4.G!#=7$$"*X'=Kn!"($"1Go(p&pF`F!#=7$$"+jDeIo!")$"2$[UzbY=.F!#>7$$"+kNARp!")$"2ZFnSC%)*[E!#>7$$"+#4*ePq!")$"133]yn*3g#!#=7$$"+pi=Qr!")$"1T#Qk>wEb#!#=7$$"+25\Ss!")$"2PPh*Hhe/D!#>7$$"+p*GXL(!")$"13#RU$\?hC!#=7$$"+"RqZV(!")$"2jy&QO-$eT#!#>7$$"+p([U`(!")$"1B>dekprB!#=7$$"+6(f1k(!")$"2mm'4*HwaK#!#>7$$"1******eFcMx!#9$"2`*Rl0E]&G#!#>7$$"+#Q2H%y!")$"2;2ys%HHSA!#>7$$"1,++^+oSz!#9$"2_1^Q`@.?#!#>7$$"1,++(*4UP!)!#9$"1&HqmqR:;#!#=7$$"+#f[99)!")$"2C"yB]9p?@!#>7$$"((*eC)!"&$"2X>uGlW03#!#>7$$"+'eH4M)!")$"2XEa30]Z/#!#>7$$"1*****4(*\=W)!#9$"2/3dr_![2?!#>7$$"+.%Q.a)!")$"2t]6\&=$=(>!#>7$$"+.45Z')!")$"2lIII_')R$>!#>7$$"+[,[R()!")$"2;jS1hD>!>!#>7$$"*2"eX))!"($"2UK%4i0'e'=!#>7$$"+9:KX*)!")$"2[)z)zWsE$=!#>7$$"+u&)4W!*!")$"1%QV9;Y/!=!#=7$$"+7U&H9*!")$"2c24c7H)o<!#>7$$"+12yV#*!")$"2GIW&oqBP<!#>7$$")^l]$*!"'$"2tYB$z`[/<!#>7$$"1*****RX['[%*!#9$"2u-Thg"4v;!#>7$$"+x/QX&*!")$"0_!3o$[mk"!#<7$$"+=ay['*!")$"2s%p2wQ&oh"!#>7$$"+b_'>v*!")$"2T/W*Q6u(e"!#>7$$"+'GvX%)*!")$"2C^Y(=C9i:!#>7$$"+Y&yU&**!")$"1Kr=G?YK:!#=7$$"+:tg/5!"($"2DR6>CW"3:!#>7$$"+CPM:5!"($"1sA(f@q-["!#=7$$"+(e!fD5!"($"1ug&=YAUX"!#=7$$"+:)RZ."!"($"2Bw%*yb79V"!#>7$$"+z!H]/"!"($"2EYWZ(4G19!#>7$$"+ZlQb5!"($"2,nh=cQ:Q"!#>7$$"+(y%pl5!"($"2aptEyPuN"!#>7$$"+Y=Dv5!"($"2J)Q#pPKbL"!#>7$$"+Fw9&3"!"($"2BgQ8N$G88!#>7$$"+d=Q&4"!"($"2-+2/"\t!H"!#>7$$"+mKe06!"($"1,b!p$)R(o7!#=7$$"+pm2;6!"($"2dgK>#>gY7!#>7$$"+k#>`7"!"($"2t&>JkA\F7!#>7$$"+QUsN6!"($"21?Omc#R17!#>7$$"+M><Y6!"($"2;HuMyRc="!#>7$$"+E-Cc6!"($"2V08qM\g;"!#>7$$"+*>$Ql6!"($"1u&[*='>'[6!#=7$$"*3bi<"!"'$"22cx3r?$G6!#>7$$"+()\Y&="!"($"2BR"y>:Z66!#>7$$"+,$yh>"!"($"2(G%G?#>C#4"!#>7$$"+(Rhc?"!"($"1l3"Ge^b2"!#=7$$"+fe1;7!"($"2lp2!o&)fd5!#>7$$"+lL(fA"!"($"2<WzrXp3/"!#>7$$"*"3JO7!"'$"2;^s#zSxB5!#>7$$"+6Q!eC"!"($"1"e.AVz$35!#=7$$"+%HVgD"!"($"1jZA(f,3#**!#>7$$"*CzmE"!"'$"1%=&Gbd'[v*!#>7$$"+iy$fF"!"($"1w$Gm]'G8'*!#>7$$"+Gu$fG"!"($"1H\5!QDMY*!#>7$$"+dzE'H"!"($"10;3R'R<J*!#>7$$"+lVP18!"($"1))4;I(=i;*!#>7$$"+NG:;8!"($"1wp_bl+G!*!#>7$$"+d,,F8!"($"1K'4ii%\x))!#>7$$"+WfwO8!"($"1MC&4^b]u)!#>7$$"*L#=Z8!"'$"09_ayqlg)!#=7$$"+C6ic8!"($"1O0O>Ia$[)!#>7$$"+=-%pO"!"($"1*3w@Ld9N)!#>7$$"+#o\mP"!"($"1h!pN`0%H#)!#>7$$"+p))z'Q"!"($"1ZS]X,:/")!#>7$$"+a:s'R"!"($"1VrXk1<%)z!#>7$$"+(o4rS"!"($"0xq)eA8hy!#=7$$"+#p9rT"!"($"1k?t#y[\u(!#>7$$"+ciMF9!"($"1$ymXgW#Gw!#>7$$"+(4$\P9!"($"1:61[_g9v!#>7$$"**p"oW"!"'$"17BCj^/7u!#>7$$"+CK]d9!"($"1YCbb"zoH(!#>7$$"+>61n9!"($"1%[S*HB"f>(!#>7$$"+H=Dx9!"($"1(G4IZW-4(!#>7$$"+Qc+(["!"($"1@RD))*33*p!#>7$$"+*)f$y\"!"($"1PGlwBP#)o!#>7$$"+yU@2:!"($"1Lq@jV?!z'!#>7$$"*sey^"!"'$"1`vE"=Axo'!#>7$$"+s*fv_"!"($"1pyaQ&[hf'!#>7$$"+>;<Q:!"($"1fMv<6!y\'!#>7$$"+vwKZ:!"($"1%)e48+I9k!#>7$$"+``vd:!"($"1[zVD**y?j!#>7$$"+wz#yc"!"($"19(\)=G<Ki!#>7$$"*-%*yd"!"'$"1JPtg")RXh!#>7$$"+KI#ze"!"($"120+([o01'!#>7$$"+sxb(f"!"($"0LItUM/)f!#=7$$"+"=tzg"!"($"1FBT&y#>&*e!#>7$$"+B)**yh"!"($"1&>-gLA`"e!#>7$$"+WrMG;!"($"1f=)3*3)Gt&!#>7$$"+([/yj"!"($"1U-UqWqfc!#>7$$"*ic#[;!"'$"148lERJ!e&!#>7$$"+UzEe;!"($"1a2@x*4b]&!#>7$$"+(*[Do;!"($"0l%eHe/Ka!#=7$$"*J'oy;!"'$"1nH#)y_ec`!#>7$$"+BSH)o"!"($"1,1^:+V)G&!#>7$$"+MO8)p"!"($"1Q%fWqL*>_!#>7$$"+Lx**3<!"($"1;ZHjFqX^!#>7$$"+'GM)=<!"($"1X$3@)R_z]!#>7$$"+0S*)G<!"($"1&4PJwsG,&!#>7$$"+yW7R<!"($"1>U\Jx@Y\!#>7$$"+u#G&[<!"($"1)=J*3)Gh)[!#>7$$"+<Cbe<!"($"19*)RX(GK#[!#>7$$"+a-]o<!"($"1l*>cys=w%!#>7$$"+[89z<!"($"1\*Q#yt=(p%!#>7$$"+`;`)y"!"($"2vE<yij4k%!#?7$$"+:hO*z"!"($"1"pyY$*yrd%!#>7$$"+$QV"4=!"($"1#*e(z4&y?X!#>7$$"+xu")==!"($"0U=;TlfY%!#=7$$"+P-AH=!"($"1y$e=wkzS%!#>7$$"+x]mR=!"($"2m(e"[cI0N%!#?7$$"+O$o"\=!"($"1vMRsr.*H%!#>7$$"+v.Ef=!"($"0'3,1=FXU!#=7$$"+=#4"p=!"($"1#[bX/HQ>%!#>7$$"+oayz=!"($"2C/*oB12RT!#?7$$"+#RB!*)=!"($"1VZ:'zzB4%!#>7$$"+%[L'**=!"($"2Y>5-"pVRS!#?7$$"+Gvg4>!"($"2D$oF@tR!*R!#?7$$"+N_[>>!"($"1)zqj#**pUR!#>7$$"+*zq$H>!"($"2nY*p.:'e*Q!#?7$$"+[MXR>!"($"2F_#fWZ"*[Q!#?7$$"+()39]>!"($"1)p"RU'G)*z$!#>7$$"+B-%*f>!"($"1nOtsySbP!#>7$$"+DMhp>!"($"29'H&)G[:7P!#?7$$"+>R&*z>!"($"2NIk&37zmO!#?7$$"+->F!*>!"($"2Y12W[!RAO!#?7$$"%+?!""$"1umjwOA"e$!#>-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q+Infectious6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7dw7$$""!!""$""!!""7$$"+05_^5!"*$"1eqYC]A5#*!#>7$$"*"QWm>!")$"2ch%*)zaq7C!#>7$$"+#>q`*H!"*$"07a`&)zeF%!#<7$$"+mp6JS!"*$"2kV6c7Nr<'!#>7$$"20++q,T>1&!#;$"1j&[Ef]R/)!#=7$$"+nok<g!"*$"1%*\\O'z)R(*!#=7$$"+<\A2q!"*$"2eQ![dPsX6!#=7$$"1*****H&zkI!)!#:$"2Qz1$Q15>8!#=7$$"+e))y]!*!"*$"2k?IGJ@w["!#=7$$"+<H,55!")$"2M50Xz%\c;!#=7$$"+p)QC5"!")$"2))G"*G<)\,=!#=7$$"+*f)[17!")$"1l;\(en0'>!#<7$$"+ob'4J"!")$"2FFxrese6#!#=7$$"+([[;T"!")$"1b&[w$*y8E#!#<7$$"+B#yI]"!")$"2D9J\s,+R#!#=7$$"+Aqz6;!")$"2:UE=_L'QD!#=7$$"+0h*Qq"!")$"2memh644m#!#=7$$"+M#H5"=!")$"2;Wbqe!**)z#!#=7$$"+1-'e!>!")$"1o09#oDv"H!#<7$$"+7[!*4?!")$"1))y&QTLO/$!#<7$$"+"))z*3@!")$"1otq(*e#*fJ!#<7$$"+AVN7A!")$"1ibIq*otF$!#<7$$"+HVG2B!")$"2Y$R;&pd<Q$!#=7$$"+n"z'4C!")$"1*f6(*f*o!\$!#<7$$"+D'Qg^#!")$"1"z1MTm)*f$!#<7$$"+Y[i3E!")$"2NOj^$pl"p$!#=7$$"+-0i3F!")$"1<Yi%pYuy$!#<7$$"+)zD>"G!")$"0<gK;7G)Q!#;7$$"+w)*)H"H!")$"1:Tu6/jsR!#<7$$"+pXx5I!")$"2Or1wv7j0%!#=7$$"+)zZ$>J!")$"1&\BfD!eXT!#<7$$"+uc!p@$!")$"1Tbm*RuDA%!#<7$$"+H&p5K$!")$"1;sm#R#[,V!#<7$$"+kuX:M!")$"1)4'4o^4qV!#<7$$"+2%['=N!")$"1<*RG0A?W%!#<7$$"+WIu:O!")$"1wb7uB"o]%!#<7$$"+:\B<P!")$"1:1NiPgrX!#<7$$"*xhk"Q!"($"1'41$*o2@j%!#<7$$"+#4V.#R!")$"1vz.B>]#p%!#<7$$"+^JR?S!")$"1luV$Ryyu%!#<7$$"+(y3F7%!")$"1"H%GK!Q<![!#<7$$"+*>xTA%!")$"1^^_paW_[!#<7$$"*8;uJ%!"($"1m\rWkr'*[!#<7$$"+o%yUU%!")$"1#R#z#)*zZ%\!#<7$$"+<u&)>X!")$"1\n`-:S&)\!#<7$$"+6Xw@Y!")$"1<l&zV3j-&!#<7$$"+/EI>Z!")$"1HeCS9>j]!#<7$$"*71w#[!"($"0M-n`2;5&!#;7$$"+3!*Q@\!")$"29ar60oF8&!#=7$$"+CM$y-&!")$"1di0)*z#e;&!#<7$$"+af%[7&!")$"1$*H%4buQ>&!#<7$$"+:C'4B&!")$"2kcFPYOBA&!#=7$$"+vH_A`!")$"1GDre(z]C&!#<7$$"+l(*zEa!")$"2'pF(G%)))*o_!#=7$$"+'*f_Fb!")$"1UiT597!H&!#<7$$"+Dk=Gc!")$"1.^L3dO4`!#<7$$"+VlZGd!")$"2mLo*)HEnK&!#=7$$"+\R#[#e!")$"2/=&\"QX<M&!#=7$$"+Y!y*Gf!")$"0nA'zQ?c`!#;7$$"+`WCGg!")$"034v!QJo`!#;7$$"20++In<F8'!#:$"1#H6ST]$z`!#<7$$"+%4"HFi!")$"1^wq;H(yQ&!#<7$$"+GC"=L'!")$"2M%=3&3;dR&!#=7$$"+ac#>V'!")$"2;FgHfA<S&!#=7$$")_zJl!"'$"1V.g]3H1a!#<7$$"+H$4hj'!")$"2vko0o!f4a!#=7$$"*X'=Kn!"($"1)=R24S8T&!#<7$$"+jDeIo!")$"1\G:T!*)=T&!#<7$$"+kNARp!")$"1uT*R!)z5T&!#<7$$"+#4*ePq!")$"2mPs)yo54a!#=7$$"+pi=Qr!")$"1^t#\$)4fS&!#<7$$"+25\Ss!")$"1Gjp<bZ,a!#<7$$"+p*GXL(!")$"2a-]mM"Q'R&!#=7$$"+"RqZV(!")$"1p!pp)="**Q&!#<7$$"+p([U`(!")$"1:SfdbY#Q&!#<7$$"+6(f1k(!")$"21HUuD2MP&!#=7$$"1******eFcMx!#9$"2Y.F>j2XO&!#=7$$"+#Q2H%y!")$"1e$[mg@KN&!#<7$$"1,++^+oSz!#9$"03y`YL@M&!#;7$$"1,++(*4UP!)!#9$"1$\#)oo[.L&!#<7$$"+#f[99)!")$"1$p(eg\!oJ&!#<7$$"((*eC)!"&$"14Xr6;L-`!#<7$$"+'eH4M)!")$"2NX%=e(H%)G&!#=7$$"1*****4(*\=W)!#9$"1%)>Z#GIHF&!#<7$$"+.%Q.a)!")$"1H:'Q2+rD&!#<7$$"+.45Z')!")$"1hDd"e%=R_!#<7$$"+[,[R()!")$"1t5=qA2B_!#<7$$"*2"eX))!"($"1XVvtf*Q?&!#<7$$"+9:KX*)!")$"1v<3`8C&=&!#<7$$"+u&)4W!*!")$"18zf-B>m^!#<7$$"+7U&H9*!")$"17FD['yl9&!#<7$$"+12yV#*!")$"2kMGb'3.E^!#=7$$")^l]$*!"'$"1="=Z,xO5&!#<7$$"1*****RX['[%*!#9$"2kik+(\o#3&!#=7$$"+x/QX&*!")$"2Xxw%Q'=:1&!#=7$$"+=ay['*!")$"2N/[UZD%Q]!#=7$$"+b_'>v*!")$"1J!e9%Q#\,&!#<7$$"+'GvX%)*!")$"1*\$*\2dM*\!#<7$$"+Y&yU&**!")$"1'=Y*pOfn\!#<7$$"+:tg/5!"($"1V^F^ugX\!#<7$$"+CPM:5!"($"1M_>lP^>\!#<7$$"+(e!fD5!"($"1'=jUk[U*[!#<7$$"+:)RZ."!"($"1&zR7729([!#<7$$"+z!H]/"!"($"1QvOHnTX[!#<7$$"+ZlQb5!"($"2/tW?VZ*=[!#=7$$"+(y%pl5!"($"2C^pm=;Bz%!#=7$$"+Y=Dv5!"($"192.eTQnZ!#<7$$"+Fw9&3"!"($"1e_e7zLTZ!#<7$$"+d=Q&4"!"($"2a%*[5ioTr%!#=7$$"+mKe06!"($"2'Ra"osloo%!#=7$$"+pm2;6!"($"1_I7%om&eY!#<7$$"+k#>`7"!"($"1c%yAwsMj%!#<7$$"+QUsN6!"($"1C$=:$z/0Y!#<7$$"+M><Y6!"($"1#z*eWLLwX!#<7$$"+E-Cc6!"($"176#z25&[X!#<7$$"+*>$Ql6!"($"0$Hw0[7BX!#;7$$"*3bi<"!"'$"1/k/NU!G\%!#<7$$"+()\Y&="!"($"1%px)*)R,nW!#<7$$"+,$yh>"!"($"1h/)e#\!pV%!#<7$$"+(Rhc?"!"($"2DxE$3^;5W!#=7$$"+fe1;7!"($"1*f#oyAu!Q%!#<7$$"+lL(fA"!"($"2b_"4A7l_V!#=7$$"*"3JO7!"'$"1MBLW[FBV!#<7$$"+6Q!eC"!"($"1D(od;ZiH%!#<7$$"+%HVgD"!"($"1u04;&[qE%!#<7$$"*CzmE"!"'$"1$HGmWymB%!#<7$$"+iy$fF"!"($"16hAcX@5U!#<7$$"+Gu$fG"!"($"1[F"GG7;=%!#<7$$"+dzE'H"!"($"1J"3L0\?:%!#<7$$"+lVP18!"($"1)Qns8@J7%!#<7$$"+NG:;8!"($"2ue'p_K8&4%!#=7$$"+d,,F8!"($"1&[ZO%o1kS!#<7$$"+WfwO8!"($"1#>we*p;OS!#<7$$"*L#=Z8!"'$"2;oE98+k+%!#=7$$"+C6ic8!"($"21H#o!f_%zR!#=7$$"+=-%pO"!"($"29w!)fAE+&R!#=7$$"+#o\mP"!"($"2%*RfWkwB#R!#=7$$"+p))z'Q"!"($"1&\Y^1?N*Q!#<7$$"+a:s'R"!"($"2vX%**QpNlQ!#=7$$"+(o4rS"!"($"1.blU1$f$Q!#<7$$"+#p9rT"!"($"1i+%*G4l2Q!#<7$$"+ciMF9!"($"1ww&=W)zyP!#<7$$"+(4$\P9!"($"1">H%*3d-v$!#<7$$"**p"oW"!"'$"1a`V$y(4CP!#<7$$"+CK]d9!"($"1u8yF&*>%p$!#<7$$"+>61n9!"($"1WI$4`Pvm$!#<7$$"+H=Dx9!"($"1s>*H*p>RO!#<7$$"+Qc+(["!"($"1^TGQ#f@h$!#<7$$"+*)f$y\"!"($"1&e.O#=C#e$!#<7$$"+yU@2:!"($"0tz2\Fkb$!#;7$$"*sey^"!"'$"1^=UmXBFN!#<7$$"+s*fv_"!"($"2c3X`RI2]$!#=7$$"+>;<Q:!"($"1.UhIS&=Z$!#<7$$"+vwKZ:!"($"2DhKZ1QqW$!#=7$$"+``vd:!"($"1zva\/*)=M!#<7$$"+wz#yc"!"($"2/Q4">)>=R$!#=7$$"*-%*yd"!"'$"1mRO6c)[O$!#<7$$"+KI#ze"!"($"1t.m;7<QL!#<7$$"+sxb(f"!"($"1Vq?uHi7L!#<7$$"+"=tzg"!"($"1v82))[8&G$!#<7$$"+B)**yh"!"($"1'="3gY1fK!#<7$$"+WrMG;!"($"0n(GqNwJK!#;7$$"+([/yj"!"($"1W<fq><2K!#<7$$"*ic#[;!"'$"1'[]+5J,=$!#<7$$"+UzEe;!"($"2M$G!o3oV:$!#=7$$"+(*[Do;!"($"1&ybVU.)GJ!#<7$$"*J'oy;!"'$"10YX#>ZA5$!#<7$$"+BSH)o"!"($"2Ds_&y4#z2$!#=7$$"+MO8)p"!"($"2)f"Ht9TJ0$!#=7$$"+Lx**3<!"($"1_OK&))Rf-$!#<7$$"+'GM)=<!"($"1W;3.mX,I!#<7$$"+0S*)G<!"($"2_X?`nhl(H!#=7$$"+yW7R<!"($"23"=2UUR^H!#=7$$"+u#G&[<!"($"1Pg0MWRGH!#<7$$"+<Cbe<!"($"2Qw;Ko>S!H!#=7$$"+a-]o<!"($"1m!*oQm(*zG!#<7$$"+[89z<!"($"2y:vX\?W&G!#=7$$"+`;`)y"!"($"2l<H,I3?$G!#=7$$"+:hO*z"!"($"2P#R*[(GJ1G!#=7$$"+$QV"4=!"($"23-@wRvKy#!#=7$$"+xu")==!"($"2P&>7"RA1w#!#=7$$"+P-AH=!"($"2[oVHw?kt#!#=7$$"+x]mR=!"($"2=^DDQ'G7F!#=7$$"+O$o"\=!"($"1@&\#G;Z!p#!#<7$$"+v.Ef=!"($"2;*=vRbXnE!#=7$$"+=#4"p=!"($"19o6jK9XE!#<7$$"+oayz=!"($"2.28fXB6i#!#=7$$"+#RB!*)=!"($"2s?*)[B![+E!#=7$$"+%[L'**=!"($"2/q1[+Kpd#!#=7$$"+Gvg4>!"($"2wnIPe_\b#!#=7$$"+N_[>>!"($"2bcdMBNL`#!#=7$$"+*zq$H>!"($"0b/z$)\=^#!#;7$$"+[MXR>!"($"2O^`<%**3!\#!#=7$$"+()39]>!"($"2[E+g![>nC!#=7$$"+B-%*f>!"($"1f5rpeNYC!#<7$$"+DMhp>!"($"2c:iA5HfU#!#=7$$"+>R&*z>!"($"2_2q\t]US#!#=7$$"+->F!*>!"($"2PeUsi"y#Q#!#=7$$"%+?!""$"2#yn5O")oiB!#=-%'LEGENDG6#-%)_TYPESETG6#-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q*Recovered6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%&COLORG6&%$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$%*HELVETICAG"#5-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$!\!""-%)BOUNDS_YG6#$"$I"!""-%-BOUNDS_WIDTHG6#$"%!H&!""-%.BOUNDS_HEIGHTG6#$"%IJ!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==</Plot></EC-Plot></Font></Font><Equation executable="false" style="2D Math" input-equation="``" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</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" inline-output="false" labelreference="L7044" 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><EC-Slider id="Slider_gamma" tooltip="Removal rate" lower-bound="0.1" upper-bound="0.8" control-position="0.25" 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="false" pixel-width="255" pixel-height="40" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SEIRmodel:-MakePlotSEIRsol() ;</MapleCode></EC-Slider></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="L7045" 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><EC-Slider id="Slider_rez_mu" tooltip="Birth rate = Death rate" lower-bound="50.0" upper-bound="100.0" control-position="80.0" major-tick-spacing="10.0" minor-ticks="100.0" inputenabled="true" visible="true" filled="true" orientation="false" show-labels="true" show-ticks="true" snap-to-ticks="false" continuous-update="true" pixel-width="250" pixel-height="40" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SEIRmodel:-MakePlotSEIRsol() ;</MapleCode></EC-Slider></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="L6116" 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-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="L6110" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Life expectancy (</Font><Font bold="true" encoding="UTF-8">1/\316\274)</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L6069" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="18" foreground="[255,0,0]" family="Arial">What happens when<Font encoding="UTF-8"> \317\203 = 1.0 as compared to \317\203 = 0.1? Why is this a crucial parameter available only in this model?</Font></Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L6070" 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"><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="99.06832298136646%" captionalignment="0" showinput="true" captionposition="1" id="Table7" alignment="left" randomized="false" labelreference="L6915" showgroup="true" order="row"><Table-Column weight="190" separator="true"></Table-Column><Table-Column weight="227" separator="true"></Table-Column><Table-Column weight="221" 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="L6912" 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="L6901" 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="L6919" 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="L6920" 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="L6944" 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="L6940" 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="L6946" 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=">JSFH</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=" 0.99000" 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="L6907" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Exposed (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="L6921" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQUYyRkE=</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="L6923" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextEx0" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.01000" 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="L6926" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infected and infectious, 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="L6909" 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="L6910" 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=">JSFH</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=" 0.00000" 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="L6942" 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="L6945" 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="L6924" 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=">JSFH</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="L6905" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Birth rate=Death 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="L6908" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</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="L6903" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRUYrRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRUYrRi9GMg==</Equation><EC-TextArea id="Textmu" tooltip="Birth rate = Death rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 0.01250" editable="true" 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="L6936" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" size="11" family="Arial" layout="Normal"><Font size="11" family="Arial">Life expectancy</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="L6932" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHRjRGMkY1L0Y/USV0cnVlRidGMi9GNlEnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR0YxLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkgvJSliZXZlbGxlZEdGNEYyRjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHRjRGMkY1L0Y/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="L6928" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextLE" tooltip="Life expectancy" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 80.00000" 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="L6929" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infection 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="L6943" 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="L6937" 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=">JSFH</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=" 0.25714" 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="L6925" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Exposed (Infected)-to-Infectious 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="L6902" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</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="L6916" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="Textsigma" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents=" 1.00000" 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="L6938" 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="L6933" 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="L6913" 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=">JSFH</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=" 0.25000" 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="L6922" 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="L6947" 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="L6906" 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=">JSFH</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=" 0.96750" 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="L6904" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUklbXJvd0dGJDYnLUYsNiNRIUYnLUYsNiZRImVGJ0YvRjJGNS1GLDYmUSJxRidGL0YyRjVGMi9GNlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUklbXJvd0dGJDYnLUYsNiNRIUYnLUYsNiZRImVGJ0YvRjJGNS1GLDYmUSJxRidGL0YyRjVGMi9GNlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</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="L6934" 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="L6930" 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=">JSFH</Equation><EC-TextArea id="TextSeq" tooltip="Susceptible equilibrium rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents="not available" 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="L6935" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L6931" 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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlElJm11O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjYvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEnJnNkb3Q7RidGN0Y5LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUC1JKG1mZW5jZWRHRiQ2JS1GIzYnRjAtRj02LlEiK0YnRjdGOUZARkJGREZGRkhGSkZML0ZPUSwwLjIyMjIyMjJlbUYnL0ZSRmZuLUYxNiZRKCZnYW1tYTtGJ0Y0RjdGOUY3RjlGN0Y5RjdGOS1GIzYnLUYxNiZRJyZiZXRhO0YnRjRGN0Y5RjwtRjE2JlEoJnNpZ21hO0YnRjRGN0Y5RjdGOS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaG8vJSliZXZlbGxlZEdGNkY8LUZUNiUtRiM2LS1JJW1zdWJHRiQ2JS1GMTYnUSYmcmhvO0YnLyUnZmFtaWx5R1EmQXJpYWxGJ0Y0RjdGOS1GMTYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRmpwLUY9Ni5RIn5GJ0Y3RjlGQEZCRkRGRkZIRkpGTEZORlEtRj02L0ZicS8lJXNpemVHUSI5RidGN0Y5RkBGQkZERkZGSEZKRkxGTkZRRmNxLUY9Ni9RKiZ1bWludXMwO0YnRmVxRjdGOUZARkJGREZGRkhGSkZMRmVuRmduLUY9Ni9GYnEvRmZxUSMxMUYnRjdGOUZARkJGREZGRkhGSkZMRk5GUUZbci1JI21uR0YkNiZGZW9GXXJGN0Y5RjdGOUY3RjlGanBGN0Y5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1GIzYnLUkjbWlHRiQ2JlElJm11O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjYvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEnJnNkb3Q7RidGN0Y5LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUC1JKG1mZW5jZWRHRiQ2JS1GIzYnRjAtRj02LlEiK0YnRjdGOUZARkJGREZGRkhGSkZML0ZPUSwwLjIyMjIyMjJlbUYnL0ZSRmZuLUYxNiZRKCZnYW1tYTtGJ0Y0RjdGOUY3RjlGN0Y5RjdGOS1GIzYnLUYxNiZRJyZiZXRhO0YnRjRGN0Y5RjwtRjE2JlEoJnNpZ21hO0YnRjRGN0Y5RjdGOS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaG8vJSliZXZlbGxlZEdGNkY8LUZUNiUtRiM2LS1JJW1zdWJHRiQ2JS1GMTYnUSYmcmhvO0YnLyUnZmFtaWx5R1EmQXJpYWxGJ0Y0RjdGOS1GMTYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRmpwLUY9Ni5RIn5GJ0Y3RjlGQEZCRkRGRkZIRkpGTEZORlEtRj02L0ZicS8lJXNpemVHUSI5RidGN0Y5RkBGQkZERkZGSEZKRkxGTkZRRmNxLUY9Ni9RKiZ1bWludXMwO0YnRmVxRjdGOUZARkJGREZGRkhGSkZMRmVuRmduLUY9Ni9GYnEvRmZxUSMxMUYnRjdGOUZARkJGREZGRkhGSkZMRk5GUUZbci1JI21uR0YkNiZGZW9GXXJGN0Y5RjdGOUY3RjlGanBGN0Y5</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="L6927" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextEeq" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents="not available" 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="L6911" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L6941" 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="L6939" 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=">JSFH</Equation><EC-TextArea id="TextIeq" tooltip="Infected equilibrium rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents="not available" editable="false" wrapping="true" show-border="true" password="false"></EC-TextArea></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="L6917" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JlEjZXFGJ0YyRjVGOEY1L0Y5USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQA==</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="L6918" 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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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkjbW5HRiQ2JVEiMUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEifkYnRi9GMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRjY2LlEqJnVtaW51czA7RidGL0YyRjlGO0Y9Rj9GQUZDRkUvRkhRLDAuMjIyMjIyMmVtRicvRktGUC1JJW1zdWJHRiQ2JS1JI21pR0YkNiZRIlNGJy8lJ2l0YWxpY0dRJXRydWVGJ0YvL0YzUSdpdGFsaWNGJy1GIzYlLUZWNiZRI2VxRidGWUYvRmZuRi9GMi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUY2Ni5RKCZtaW51cztGJ0YvRjJGOUY7Rj1GP0ZBRkNGRUZPRlFGNS1GUzYlLUZWNiZRIkVGJ0ZZRi9GZm5GaG5GXW9GNUZMRjUtRlM2JS1GVjYmUSJJRidGWUYvRmZuRmhuRl1vRi9GMg==</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="L6914" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextReq" tooltip="Recovered equilibrium rate" enabled="true" visible="true" visiblecharacterwidth="15" visiblerows="1" fontcolor="[0,0,0]" fillcolor="[255,255,255]" contents="not available" editable="true" 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="L6066" 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="L6064" 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">Keeling MJ, Rohani P [2008]: Modeling Infectious Diseases in Humans and Animals. Princeton University Press, Princeton and Oxford</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><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"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L8514" 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="L8515" 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="L8516" 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="L8517" 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="L8518" 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="L43" 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>
|