-
Notifications
You must be signed in to change notification settings - Fork 1.1k
/
Copy path[11-2] [Blog 2000] Advanced Collision Detection Techniques.html
962 lines (838 loc) · 595 KB
/
[11-2] [Blog 2000] Advanced Collision Detection Techniques.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
<!DOCTYPE html> <html lang=en class=hb-loaded style><!--
Page saved with SingleFile
url: https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=2
saved date: Sat Jul 24 2021 01:48:24 GMT+0800 (中国标准时间)
--><meta charset=utf-8>
<title>Gamasutra - Advanced Collision Detection Techniques</title>
<meta name=pagecaching content=502>
<meta name=keywords content="game development, game developer, game programming, game programmer, videogame, artificial intelligence, 3D animation, game design, 3D modeling, game business, game jobs, game directory, game development software, game technology, 3D technology, game producer, game audio, game animation, virtual reality, digital entertainment, PC game, Xbox game, game news, new game, arcade development, Nintendo development, Playstation development, Playstation 2, PS2, Dreamcast development, Game Developer magazine, Computer Game Developers Conference, Game Developers Conference, Independent Game Developers Conference, CMP Game Media Group, game industry research, online game development, digital assets, free textures, free 3D models, free shaders, Gamasutra Exchange, 3D Studio Max textures"><meta name=description content="Collision detection in 3D becomes ever more complicated as gaming worlds become ever more realistic, but many games still exhibit collision problems. "><link rel=image_src href=https://twimgs.com/gamasutra//images/questionmark.jpg>
<!--[if lt IE 9]>
<script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script>
<![endif]-->
<style>:root{--sf-img-0:url("data:image/gif;base64,R0lGODlhAwABAIABAJmZmf///yH5BAEAAAEALAAAAAADAAEAAAICTFAAOw==");--sf-img-24:url("data:image/gif;base64,R0lGODlhAgACAIAAAAAAAP///yH5BAEHAAEALAAAAAACAAIAAAICjFMAOw==");--sf-img-26:url("data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAUCAYAAACJfM0wAAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAxNJREFUeNqUlWtIU2Ecxp95d3O6S/MyzRsKKagpDiu7yDITNUiIKI0IgrIPWmZf+hKJWghR4BQyLCmbhdW0krwmGHgpSqeWTh26NDXNy9SteZnaOTOHc56pz5cD73Pe33vO//m/70tbWVkBlcqaxZzGsfcT8lkplAt/ML+sgbWZLVhWPOxlH4m/FZNfRjWXZgosLOSKZxYnEyjsyjBedEVefEXOZqYZFTS/PiuEgHJAreiOqYZwKpMS/FohSiYnmwDjr3bWPkly7Pq2SvFRWk4TdaZm/1LJA9bA/uwwBHEOwcGGi+HpfrQo60D4+pIcdjtZej+m9NGm4CqpZF/9sCSlfkRydn5JoxtjWzvhSkAWHM29IFN9gWZRDa6NM3zsA/F5rBpPezL1cBc7T0UU/1xRckRGox7c0t3Mu9EYO0bUVL8i3YKJu+ESdIw1oKgnG2uLkSIguOYvQr/6Ox7+uGkQ6H7X6ApRbEWOrsbSifrT66GkEnzTMKr+iYKu2wZQUiMqBdJbEhCyKwJBvIMGgbaNrgaqA8uVHQbpWpvbIoQrxJu+PFPBoXboBWI9LhgFKml5zNeB56C2X2/ybF1hSTeHYlpmqinQO90OJ4aHURsq58aHNm23JWh1T3OahUmwlSW1rwMzLJnKjTUk5csOMgkOcDqAAXWX0bgjx2UV7M8VVG80awZf4lJQOiWU7IzI3WdQ3ldoME5001d3up+DDizgR4rJnl2vki4RNFoV7kW8hZudj4EXzIvAA+EHlMufoHuy1cALdT5aG+gumNFvkG8Dn9wr5SVpVYpnKWTia92RFJxBvCzEuGYEswtz4FqzYG/DxitZLt4R4P+SkRsk2jtRfNwzsdjH2W/ZaEt3DbcyMxsvthNf4rn+twNY4WAxORic6QXRq1hbnIRGuSWK78Q8z9zWsXmi2EtFhMjAFgrjR+bmxdUkb/t0uxySfmorKFEqaWpoztUdHZtxe85X8uj8JRNcmYAvrCPrueMbpP13k3NZZ8FIm7IJU9Oj0K4sgmHFBJ/hDYGbMDFJkF5MNfefAAMAmpI9fx9/jdgAAAAASUVORK5CYII=");--sf-img-1:url("data:image/jpeg;base64,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");--sf-img-33:url("data:image/png;base64,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");--sf-img-34:url("data:image/png;base64,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");--sf-img-39:url("data:image/gif;base64,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");--sf-img-40:url("data:image/gif;base64,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");--sf-img-38:url("data:image/gif;base64,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")}</style>
<meta property=fb:app_id content=1424004174373289>
<meta property=og:type content=article>
<meta property=og:url content=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php>
<meta property=og:title content="Advanced Collision Detection Techniques">
<meta name=og:image content=https://img.deusm.com/informationweek/gamasutra_logobig2.png>
<meta property=og:description content="Collision detection in 3D becomes ever more complicated as gaming worlds become ever more realistic, but many games still exhibit collision problems. Because today’s players demand increasing levels of realism, developers will have to do some hard thinking in order to approximate the real world in their game worlds as closely as possible. Nick Bobic's article assumes a basic understanding of the geometry and math involved in collision detection, and covers some advanced collision detection techniques. ">
<meta name=twitter:card content=summary>
<meta name=twitter:site content=@gamasutra>
<meta name=twitter:creator content=@gamasutra>
<meta name=twitter:title content="Advanced Collision Detection Techniques">
<meta name=twitter:description content="Collision detection in 3D becomes ever more complicated as gaming worlds become ever more realistic, but many games still exhibit collision problems. Because today’s players demand increasing levels of realism, developers will have to do some hard thinking in order to approximate the real world in their game worlds as closely as possible. Nick Bobic's article assumes a basic understanding of the geometry and math involved in collision detection, and covers some advanced collision detection techniques. ">
<meta name=twitter:creator content=@gamasutra>
<meta name=twitter:url content=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php>
<meta name=twitter:image content>
<link rel=canonical href=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php>
<link rel=alternate type=application/rss+xml title="Gamasutra Article Feed" href=https://feeds.feedburner.com/GamasutraFeatureArticles/>
<link rel=alternate type=application/rss+xml title="Gamasutra News Feed" href=https://feeds.feedburner.com/GamasutraNews/>
<link rel=alternate type=application/rss+xml title="Gamasutra Columns Feed" href=https://feeds.feedburner.com/GamasutraColumns/>
<link rel=alternate type=application/rss+xml title="Gamasutra Jobs Feed" href=https://feeds.feedburner.com/GamasutraJobs/>
<style>.comment_login a:link,.comment_login a:visited,.comment_submit a:link,.comment_submit a:visited{color:#FFF;text-decoration:none}.hr_comment{color:#969696;margin-bottom:10px}.date_comment{font-size:10px;float:right;background-color:#dcebdc;padding:2px;margin-left:4px}.single_comment{margin-bottom:10px;margin-top:0;word-break:break-word}@media only screen and (max-width:479px){.single_comment{width:inherit!important}}@media only screen and (min-width:480px) and (max-width:767px){.single_comment{width:353px}}@media only screen and (max-width:765px){.mobile_image_transform img{max-width:100%;height:auto!important}}@media only screen and (min-width:480px) and (max-width:765px){.mobile_image_transform img{max-width:100%;height:auto!important}}a,body,div,form,hr,html,iframe,img,li,span,tbody,ul{margin:0;padding:0;border:0}img{line-height:0}footer{display:block}.container{width:1006px;margin:0 auto;position:relative;word-wrap:break-word}div.span-12,div.span-16,div.span-20,div.span-3,div.span-4,div.span-5,div.span-7{float:left;margin-right:2px}div.last{margin-right:0}.span-3{width:124px}.span-4{width:166px}.span-4 img{max-width:150px}.span-5{width:208px}.span-7{width:292px}.span-12{width:502px}.span-16{width:670px}.span-20{width:838px}@media only screen and (min-width:766px){.hide-phone{display:inherit!important}}@media only screen and (max-width:765px){.container{width:95%;margin:0 auto;position:relative}div.span-12,div.span-16,div.span-20,div.span-3,div.span-4,div.span-5,div.span-7{float:left;margin-right:2px;margin-top:0}div.last{margin-right:0}.span-12,.span-16,.span-20,.span-3,.span-4,.span-5,.span-7{width:100%;margin:10px 0 0;overflow:hidden;display:inline}.hide-phone{display:none!important}#TWLightBoxPanel{width:100%!important}}@media only screen and (min-width:480px) and (max-width:767px){.container{width:95%;margin:0 auto;position:relative}div.span-12,div.span-16,div.span-20,div.span-3,div.span-4,div.span-5,div.span-7{float:left;margin-right:2px}div.last{margin-right:0}.span-12,.span-16,.span-20,.span-3,.span-4,.span-5,.span-7{width:100%;margin:10px 0 0;overflow:hidden;display:inline}.hide-phone{display:none!important}}.bottom2{margin-bottom:2px}.bottom3{margin-bottom:3px}.clearfix:after,.container:after{content:"\0020";display:block;height:0;clear:both;visibility:hidden;overflow:hidden}.clear{clear:both}.last{padding-right:0}.right{float:right}.left{float:left}.center{text-align:center}h1,h3{font-style:normal;font-family:Verdana,Arial,Helvetica,sans-serif}h3{color:#000;letter-spacing:.1px}h3{font-size:12px;line-height:1.3em;margin-top:1.25em;margin-bottom:.75em}p{margin:0 0 1.5em}a:focus,a:hover{text-decoration:underline;color:#22522a}a:visited{text-decoration:none}a{text-decoration:none;color:#22522a}strong{font-weight:700}ul{margin:0 1.5em 1em}.small{line-height:20px}hr{clear:both;background:var(--sf-img-0) center left repeat-x;font-size:1px;height:1px;padding-bottom:15px}body{background:var(--sf-img-1) repeat-x #8a8a8a;margin-top:-10px;padding:0;font-family:Verdana,Arial,Helvetica,sans-serif;font-size:12px;line-height:1.5;color:#666}.comment_text a{text-decoration:underline;font-size:14px}.content_bg{background-color:#eee}.content_box_middle{background-color:#eee;border-right:2px solid #fff;border-left:2px solid #fff}.content_box_left{background-color:#eee;border-left:2px solid #fff}.date_comment{text-align:right}.header_large{height:36px;font-family:helvetica;font-size:22px;font-weight:700;padding:0 0 0 5px;border-bottom:1px solid #dedede;background:-webkit-gradient(linear,0 0,0 100%,from(#ccc),to(#fff));background:-webkit-linear-gradient(top,#ccc,#fff);background:-moz-linear-gradient(top,#ccc,#fff);background:-ms-linear-gradient(top,#ccc,#fff);background:-o-linear-gradient(top,#ccc,#fff)}.header_large img{padding-right:10px}input.login_1{background-color:#fff;font-size:10px;color:#000;height:15px;width:75px;margin-bottom:4px;border:1px solid #ddd;margin-left:4px}.item_title{font-family:Verdana,Arial,Helvetica,sans-serif;letter-spacing:-.05em;font-weight:bolder;font-size:30px;color:#000;line-height:1.3em}.item_body{color:#000;word-wrap:break-word}.leftcol .header{background:url(data:image/jpeg;base64,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) repeat-x #ccc;color:#22522a;height:31px;font-family:helvetica;font-size:17px;font-weight:700;padding:0 0 0 3px}.leftcol .header img{padding-right:5px;padding-top:3px}.page_item{padding-left:10px;padding-right:10px;word-wrap:break-word}ul.leftcol_social{margin:30px 0 0 -8px}ul.leftcol_social li{display:inline-block;width:26px;height:26px;padding-left:10px}ul.leftcol_social li a{padding:15px}ul.leftcol_social li.facebook a{background:url(data:image/png;base64,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) top center no-repeat}ul.leftcol_social li.twitter a{background:url(data:image/png;base64,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) top center no-repeat}ul.leftcol_social li.feed a{background:url(data:image/png;base64,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) top center no-repeat}ul.leftcol_social li.newsletter a{background:url(data:image/png;base64,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) top center no-repeat}ul.leftcol_social li.facebook a:hover{background:url(data:image/png;base64,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) top center no-repeat;text-decoration:none}ul.leftcol_social li.twitter a:hover{background:url(data:image/png;base64,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) top center no-repeat;text-decoration:none}ul.leftcol_social li.feed a:hover{background:url(data:image/png;base64,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) top center no-repeat;text-decoration:none}ul.leftcol_social li.newsletter a:hover{background:url(data:image/png;base64,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) top center no-repeat;text-decoration:none}.leaderboard{height:90px;margin-left:-22px}.leftnav,.leftnav_categories,.leftnav_network{background-color:#eee;padding:4px 4px 10px;font-size:10px}.leftnav_categories{border-top:2px solid #fff}.leftnav_categories hr{height:8px;padding-bottom:5px;margin-top:3px}.leftnav_categories img{float:left}.leftnav strong{color:#666}.leftnav_network .leftnav_btn{padding-left:5px}.leftnav_btn{color:#363;font-size:10px;float:left;padding:4px 4px 4px 10px;font-weight:700}.leftnav hr{clear:both;background:var(--sf-img-0) center left repeat-x;height:8px;font-size:1px;padding-bottom:5px;margin-top:3px}.leftnav ul{list-style-image:url(data:image/gif;base64,R0lGODlhBgAKAIABAJmZmf///yH5BAEAAAEALAAAAAAGAAoAAAIMjI+pCMCe2jPy1FAAADs=)}.leftnav ul li{margin-bottom:3px}.leftnav ul li.line{background:var(--sf-img-0) center left repeat-x;height:2px;list-style:none}.MedGreenHeader{font-family:Verdana,Arial,Helvetica,sans-serif;background-color:#82bc7a;color:#22522a;font-size:12px;font-weight:700;padding-left:5px}#memberLogin{background:#82bc7a}.nav{text-transform:uppercase;background:#fff;padding-bottom:2px}.nav_links{background:-webkit-gradient(linear,0 0,0 100%,from(#fff),to(#ecebec));background:-webkit-linear-gradient(top,#fff,#ecebec);background:-moz-linear-gradient(top,#fff,#ecebec);background:-ms-linear-gradient(top,#fff,#ecebec);background:-o-linear-gradient(top,#fff,#ecebec)}.nav_links .content{padding-top:9px;padding-bottom:6px;font-weight:700;font-size:10px;margin-left:25px}.nav_links{text-align:center}.nav_links a{color:#363;font-size:9px;margin-right:25px}.nav_jobs{background:url(data:image/jpeg;base64,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) repeat-x #d96a00;height:30px}.nav_jobs .content{padding-top:5px;text-align:center;font-weight:700}.nav_jobs a{color:#fff;font-size:9px}.nav_search{background:url(data:image/gif;base64,R0lGODlhAQAgAMQAAD8/P2xsbIOEhIGBgnBxcXR0dXl5ea+wr09PT1dZWVJTUjw8PGNkZIeHh01NTWdnZzo6On5+fmFhYV5eXkFBQYqKiUlJSkZGR1VVVTg4OEVFRZCQkP///wAAAAAAAAAAACH5BAAAAAAALAAAAAABACAAAAUZ4LGNW9UIQ2QURPAw0pRgCuJYl0YBC5RxIQA7) repeat-x;height:30px}.nav_search .content{color:#fff;font-weight:700;padding:2px 0 0 15px}.nav_searchtxt{padding:5px 10px 0 0;float:left;font-size:9px}.nav_searchbutton a{color:#fff;border:1px solid #fff}.module_right{width:300px;margin-left:20px;margin-bottom:20px}.properties{background:#000;font-size:12px;font-weight:700;color:#fff}.small{font-size:10px}.stories_item .thumb img{padding:5px;border:1px solid #ccc}.stories_item{padding-right:15px;width:146px;text-align:center;float:left}.SmRedText{font-family:Verdana,Arial,Helvetica,sans-serif;color:#600;font-size:10px;font-weight:700}.SmRedText a:active,.SmRedText a:link,.SmRedText a:visited,a.SmRedText:active,a.SmRedText:link,a.SmRedText:visited{font-family:Verdana,Arial,Helvetica,sans-serif;color:#600;font-size:10px;font-weight:700;text-decoration:none}.SmRedText a:hover,a.SmRedText:hover{text-decoration:underline}.SmWhiteText{font-family:Verdana,Arial,Helvetica,sans-serif;color:#FFF;font-size:10px;font-weight:700}.topicmenu{display:block;height:37px;width:838px;background:#fff}.topicmenu ul{margin:0;float:left;background:#fff;padding:0 1px 2px 2px}.topicmenu ul li{color:#fff;padding:10px 2.80em!important;background:#097141;background:-webkit-gradient(linear,left top,left bottom,from(#7dda9f),to(#097141));background:-moz-linear-gradient(top,#7dda9f,#097141);border-top-left-radius:3px;-moz-border-radius-topleft:3px;border-top-right-radius:3px;-moz-border-radius-topright:3px;display:inline-block;font-weight:700;font-size:9px;margin-right:2px}.topicmenu ul li a{color:#fff}.topicmenu ul li.activetab{background:-webkit-gradient(linear,left top,left bottom,from(#797979),to(#fff));background:-moz-linear-gradient(top,#797979,#fff)}.topicmenu ul li.activetab a{padding-top:5px;color:#000}.gdmag{background:#fff;float:left;height:36px}#dynamiccomments{padding-top:15px}#dynamiccomments,.parentComment{clear:both}.parentComment .commentBox{width:100%}@media only screen and (max-width:479px){.single_comment{width:inherit!important}}@media only screen and (min-width:480px) and (max-width:767px){.single_comment{width:353px}}#TWLightBoxPanel{font-family:Arial,Helvetica,sans-serif!important;font-size:13px;line-height:1.231;height:auto;border:15px solid rgba(0,0,0,.3);border-radius:1em}#TWLightBoxOverlay{opacity:.7!important}@media screen and (max-width:480px){body{margin-top:0}#TWLightBoxPanel{width:100%!important;background-color:#eee!important}#TWLightBoxPanel{border:0!important;margin-top:0!important;top:0!important}body{background:#8a8a8a var(--sf-img-1) repeat-x scroll 0 0;font-size:20px!important;font-family:Arial,Helvetica,Verdana,sans-serif}.nav_links a{font-size:15px!important;margin-right:20px}.nav_jobs .content{padding-top:0px!important}.nav_jobs a{font-size:13px!important}}.gdmag{width:auto!important}</style>
<meta name=node content=Gama1>
<meta name=pagecaching content=671>
<meta name=viewport content="width=device-width, initial-scale=1, maximum-scale=1">
<style>#iribbon-container{background:#525a5c;color:#fff;font-size:13px;min-height:35px;line-height:18px;position:relative;font-weight:normal}#iribbon-title{background:url(data:image/gif;base64,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) no-repeat center top;border:0;bottom:0;border-radius:0;box-shadow:none;cursor:pointer;display:block;height:16px;left:50%;margin:10px auto 10px -46px;padding-top:0;position:absolute;text-indent:-999em;transition:none;width:92px}@media not all,not all{#iribbon-title{background:rgba(0,0,0,0) url(data:text/html;base64,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) repeat 0 0/92px 34px}}#MathJax_Message{position:fixed;left:1em;bottom:1.5em;background-color:#E6E6E6;border:1px solid #959595;margin:0px;padding:2px 8px;z-index:102;color:black;font-size:80%;width:auto;white-space:nowrap}@keyframes caretBlink{from{opacity:1.0}to{opacity:0.0}}@keyframes rotateSpinner{from{transform:rotate(0deg)}to{transform:rotate(360deg)}}</style><link type=image/x-icon rel="shortcut icon" href="data:image/vnd.microsoft.icon;base64,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"><style>.sf-hidden{display:none!important}</style></head>
<body huaban_collector_injected=true><div id=MathJax_Message style=display:none></div>
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-NDKS786" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<div id=gdpr_banner style=display:none>
</div>
<div id=iribbon-container class=content-body-wrapper style=padding-top:10px>
<button id=iribbon-title title=show/hide class=inactive>Informa</button>
<div id=iribbon-detail class="ribbon-hide sf-hidden">
</div>
</div>
<div id=div-gpt-ad-welcome class=sf-hidden>
</div>
<div id=div-gpt-ad-mi class=sf-hidden>
</div>
<div class=hide-phone>
<div id=div-gpt-ad-skin class=sf-hidden>
</div>
</div>
<div class=container>
<div id=container-main class=content-body-wrapper>
<div class=hide-phone>
<div class="wrapper properties">
</div>
</div>
<br>
<div class="container bottom3">
<div class=span-7>
<a href=https://www.gamasutra.com/><img src="data:image/png;base64,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" alt="Gamasutra: The Art & Business of Making Games" width=243 height=77 border=0></a><img alt=spacer src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="2" height="2"><rect fill-opacity="0"/></svg>' width=27 style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-24)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">
</div>
<div class=hide-phone>
<div class="div span-16 last leaderboard">
<div id=div-gpt-ad-top class=sf-hidden>
</div>
</div>
</div>
</div>
<div class=span-20>
<div class="show-phone clearfix sf-hidden" style="padding:0px 0 5px 0">
<div class="span-5 center sf-hidden">
<div id=div-gpt-ad-mobile_leaderboard class=sf-hidden>
</div>
</div>
</div>
<div class="show-phone sf-hidden">
</div>
<div class="show-phone sf-hidden">
</div>
<div class=nav>
<div class="span-3 nav_jobs">
<div class=content>
<a href=https://jobs.gamasutra.com/>GAME JOBS</a>
</div>
</div>
<div class="span-12 nav_links">
<div class=content>
<a href=https://www.gamasutra.com/updates/>updates</a>
<a href=https://www.gamasutra.com/blogs/>Blogs</a>
<a href=https://www.gamasutra.com/contractors/contractor_display.php>contractors</a>
<a href=https://www.gamasutra.com/newsletter-signup>newsletter</a>
<a target=_blank href=https://www.gamecareerguide.com/ style=color:#664271>Game Career Guide</a>
</div>
</div>
<div class=hide-phone>
<div class="span-5 last nav_search">
<div class=content>
<span class=nav_searchtxt>SEARCH</span>
<form class=left name=topsearch action=/search/ method=GET>
<input name=search_text type=text size=10 class=search value>
<span class=nav_searchbutton><a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=2">GO</a></span>
</form>
</div>
</div>
</div>
<br class=clear>
</div>
<div class=hide-phone>
<div class="span-20 last">
<div class=topicmenu>
<ul>
<li class=activetab><a href=https://www.gamasutra.com/>ALL</a>
<li><a href=https://www.gamasutra.com/topic/console-pc>CONSOLE/PC</a>
<li><a href=https://www.gamasutra.com/topic/smartphone-tablet>SMARTPHONE/TABLET</a>
<li><a href=https://www.gamasutra.com/topic/indie>INDEPENDENT</a>
<li><a href=https://www.gamasutra.com/topic/vr>VR/AR</a>
<li><a href=https://www.gamasutra.com/topic/social-online>SOCIAL/ONLINE</a>
</ul>
<span class=gdmag><a href=https://www.gamasutra.com/resourcecenter><img src=data:image/png;base64,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 width=118px height=33px></a></span>
</div>
</div>
</div>
<div class="span-20 last content_bg">
<div class=hide-phone>
<div class=span-4>
<div class=content_box_left>
<div class=leftcol>
<table width=166 border=0 cellspacing=0 cellpadding=0>
<tbody><tr>
<td id=memberLogin class=welcome> <span class=MedGreenHeader>Member Login </span>
<div id=status class=errors style=color:#FF0000;margin-left:5px></div>
<form method=post id=LoginForm name=login_form>
<table width=166 cellspacing=0 cellpadding=0 border=0>
<tbody>
<tr>
<td width=5 rowspan=5><img width=5 border=0 src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="2" height="2"><rect fill-opacity="0"/></svg>' style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-24)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"></td>
<td width=70 align=right class=SmWhiteText>Email: </td>
<td width=87><input type=text class=login_1 name=email value></td>
<td width=5 rowspan=5><img width=5 border=0 src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="2" height="2"><rect fill-opacity="0"/></svg>' style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-24)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"></td>
</tr>
<tr>
<td align=right class=SmWhiteText>Password: </td>
<td><input type=password class=login_1 name=password value></td>
</tr>
<tr>
<td> </td>
<td style=padding:3px><input type=submit class=button value=Login id=submit name=submit></td>
</tr>
<tr>
<td colspan=2><a class=SmWhiteText href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=2">Forgot Password?</a> <a class=SmRedText id=lbreglnk href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=2">Sign Up</a></td>
</tr>
</tbody>
</table>
</form>
</td>
</tr>
</table>
<div class=bottom2>
<ul class=leftcol_social>
<li class=facebook><a href=https://www.facebook.com/pages/Gamasutra/31610613408 target=_blank> </a></li>
<li class=twitter><a href=https://twitter.com/gamasutra target=_blank> </a></li>
<li class=feed><a href=https://www.gamasutra.com/static2/rssfeeds.html> </a></li>
<li class=newsletter><a href=https://www.gamasutra.com/newsletter-signup> </a></li>
</ul>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-26)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=#>Contents</a></div>
<div class="leftnav bottom2">
<strong>Advanced Collision Detection Techniques</strong>
<hr>
<ul>
<li>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=1" class=articleNav>Page 1</a>
</li>
<li>
<span style=color:#660000> Page 2 </span>
</li>
<li>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=3" class=articleNav>Page 3</a>
</li>
</ul>
</div>
<div class="leftnav_categories bottom2">
<a href=https://www.gamasutra.com/category/programming/><img alt=arrow src="data:image/gif;base64,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" width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/programming/>PROGRAMMING</a></div>
<hr>
<a href=https://www.gamasutra.com/category/art/><img alt=spacer src=data:image/gif;base64,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 width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/art/>ART</a></div>
<hr>
<a href=https://www.gamasutra.com/category/audio/><img alt=spacer src="data:image/gif;base64,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" width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/audio/>AUDIO</a></div>
<hr>
<a href=https://www.gamasutra.com/category/design/><img alt=arrow src="data:image/gif;base64,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" width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/design/>DESIGN</a></div>
<hr>
<a href=https://www.gamasutra.com/category/production/><img alt=arrow src="data:image/gif;base64,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" width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/production/>PRODUCTION</a></div>
<hr>
<a href=https://www.gamasutra.com/category/business-marketing/><img alt=arrow src="data:image/gif;base64,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" width=24px height=24px></a>
<div class=leftnav_btn><a href=https://www.gamasutra.com/category/business-marketing/>BIZ/MARKETING</a></div>
<br class=clear>
</div>
<div id=div-gpt-ad-button1 class=sf-hidden>
</div>
<div id=div-gpt-ad-button2 class=sf-hidden>
</div>
<div id=div-gpt-ad-callout class=sf-hidden>
</div>
<div id=div-gpt-ad-custom1 class=sf-hidden>
</div>
<div id=div-gpt-ad-custom3 class=sf-hidden>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' width=22px height=20px style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-26)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=https://jobs.gamasutra.com/>Latest Jobs</a></div>
<div class="leftnav bottom2">
<a href=https://jobs.gamasutra.com/><strong>View All</strong></a>
<a href=https://feeds.feedburner.com/GamasutraJobs><strong>RSS</strong></a>
<hr>
<strong>July 23, 2021</strong>
<hr>
<ul>
<li>Bitwise Alchemy<br>
<a href=https://jobs.gamasutra.com/job/senior-software-engineer-remote-austin-texas-35173>Senior Software Engineer (Remote)</a>
</li>
<li class=line></li>
<li>Robot Gentleman Sp. z o.o.<br>
<a href=https://jobs.gamasutra.com/job/senior-gameplay-engineer-poznan-35064>Senior Gameplay Engineer</a>
</li>
<li class=line></li>
<li>Sucker Punch Productions<br>
<a href=https://jobs.gamasutra.com/job/ai-systems-designer-bellevue-washington-35171>AI Systems Designer</a>
</li>
<li class=line></li>
<li>Xbox Graphics<br>
<a href=https://jobs.gamasutra.com/job/senior-software-engineer-performance-tooling-redmond-washington-35125>Senior Software Engineer: Performance Tooling</a>
</li>
<li class=line></li>
<li>Xbox Graphics<br>
<a href=https://jobs.gamasutra.com/job/senior-software-engineer-gpu-compilers-redmond-washington-35124>Senior Software Engineer: GPU Compilers</a>
</li>
<li class=line></li>
<li>Mountaintop Studios<br>
<a href=https://jobs.gamasutra.com/job/data-engineer-san-francisco-california-35169>Data Engineer</a>
</li>
<li class=line></li>
</ul>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' width=22px height=20px style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-33)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=https://www.gamasutra.com/blogs/>Latest Blogs</a></div>
<div class="leftnav bottom2">
<a href=https://www.gamasutra.com/blogs/><strong>View All</strong></a>
<a href=https://www.gamasutra.com/blogs/edit/><strong>Post</strong></a>
<a href=https://www.gamasutra.com/blogs/rss/><strong>RSS</strong></a>
<hr>
<strong>July 23, 2021</strong>
<hr>
<ul>
<li>
<a href=https://www.gamasutra.com/blogs/HansHildenbrand/20210723/385609/Polishing_a_game_character_in_Inkscape.php>Polishing a game character in Inkscape</a>
</li>
<li class=line></li>
<li>
<a href=https://www.gamasutra.com/blogs/SimonCarless/20210721/385498/Discovering_your_games_regional_appeal_prelaunch.php>Discovering your game's regional appeal, pre-launch?</a>
</li>
<li class=line></li>
<li>
<a href=https://www.gamasutra.com/blogs/JoshBycer/20210721/385422/Debating_Difficulty_in_Game_Design.php>Debating Difficulty in Game Design</a>
</li>
<li class=line></li>
<li>
<a href=https://www.gamasutra.com/blogs/JoshBycer/20210719/385236/The_Impact_of_Dark_Souls_on_Boss_Design.php>The Impact of Dark Souls on Boss Design</a>
</li>
<li class=line></li>
<li>
<a href=https://www.gamasutra.com/blogs/SimonCarless/20210715/385199/Lets_talk_about_Steam_Deck_shall_we.php>Let's talk about Steam Deck, shall we?</a>
[<a title="4 comments" href=https://www.gamasutra.com/blogs/SimonCarless/20210715/385199/Lets_talk_about_Steam_Deck_shall_we.php#comments>4</a>]
</li>
<li class=line></li>
</ul>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' width=22px height=20px style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-33)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">Press Releases</div>
<div class="leftnav bottom2">
<strong>July 23, 2021</strong>
<hr>
<a href=https://www.gamasutra.com/pressreleases_index.php><strong>Games Press</strong></a>
<hr>
<ul>
</ul>
<a href=https://www.gamasutra.com/pressreleases_index.php><strong>View All</strong></a>
<a href=https://www.gamasutra.com/pressreleases/rss/><strong>RSS</strong></a>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' width=22px height=20px style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-34)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=https://www.gamasutra.com/contactus>About</a></div>
<div class="leftnav bottom2">
<ul>
<li><strong>Editor-In-Chief: </strong><br><a href=mailto:[email protected]>Kris Graft</a></li>
<li class=line></li>
<li><strong>News Editor: </strong><br> <a href=mailto:[email protected]>Alissa McAloon</a></li>
<li class=line></li>
<li><strong>Contributors: </strong><br>
Chris Kerr<br>
Bryant Francis<br>
Katherine Cross<br>
</li>
</ul>
<hr>
<div class=center><a href=https://www.gamasutra.com/contactus>Contact Gamasutra</a></div>
<hr>
<div class=center><a href=mailto:[email protected]>Report a Problem</a></div>
<hr>
<div class=center><a href=mailto:[email protected]>Submit News</a></div>
<hr>
<div class=center><a href=https://www.gamasutra.com/static2/comment_guidelines.html>Comment Guidelines</a></div>
<hr>
<div class=center><a href=https://www.gamasutra.com/static2/blogsubmissions.html>Blogging Guidelines</a></div>
<hr>
<div class=center><a href=https://www.gamasutra.com/static2/howwework.html>How We Work</a></div>
<hr>
<div class=center><a href=https://reg.gdconf.com/gama-media-kit>Download Media Kit</a></div>
</div>
<div class=bottom2>
<a href=https://www.gamasutra.com/advertise>
<img src="data:image/jpeg;base64,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" alt=Sponsor border=0 class=whiteTop width=177px height=60px>
</a>
</div>
<div class=header><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' width=22px height=20px style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-34)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=#>Gama Network</a></div>
<div class="leftnav_network bottom2">
If you enjoy reading this site, you might also want to check out these UBM Tech sites:
<hr>
<a href=https://www.gamecareerguide.com/></a>
<div class=leftnav_btn><a href=https://www.gamecareerguide.com/>Game Career Guide</a></div>
<hr>
<a href=https://www.indiegames.com/blog></a>
<div class=leftnav_btn><a href=https://www.indiegames.com/blog>Indie Games</a></div>
<br class=clear>
</div>
</div>
</div>
</div>
</div> <style class=sf-hidden>.item_title{margin-top:0px!important;margin-bottom:0px!important}</style>
<div class="span-16 last">
<div class=content_box_middle>
<div class=header_large>
<span class=left><img alt=arrow src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="22" height="20"><rect fill-opacity="0"/></svg>' style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-33)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"><a href=https://www.gamasutra.com/features/>Features</a></span>
</div>
<div class=page_item>
<div class=clear> </div>
<h1 class=item_title>Advanced Collision Detection Techniques</h1>
<div>
<span class=newsAuth>by <a href=https://www.gamasutra.com/view/authors/915502/Nick_Bobic.php>Nick Bobic</a></span><span class=pageNav> [<span class=category_links><a class=category_links href=https://www.gamasutra.com/features/programming/>Programming</a></span>]</span><br>
</div>
<div>
<br>
<span class=comment_text>
<a href=#comments>1 comments</a>
</span>
<a name=twitter_share type=button href="http://twitter.com/?status=RT%20@gamasutra:%20Advanced%20Collision%20Detection%20Techniques%20http://www.gamasutra.com/view/feature/131598/" target=_blank><img src="data:image/gif;base64,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" alt="Share on Twitter" border=0 height=20></a>
<iframe width=72 height=28 style=border:0;overflow:hidden scrolling=no frameborder=0 allowtransparency=true data-gtm-yt-inspected-31060254_48=true sandbox="allow-popups allow-top-navigation allow-top-navigation-by-user-activation" srcdoc='<!DOCTYPE html> <html lang=zh-Hant id=facebook class=svg><meta charset=utf-8><meta name=referrer content=origin-when-crossorigin id=meta_referrer><title>Facebook</title><style>body.plugin{background:transparent;font-family:Helvetica,Arial,sans-serif;line-height:1.28;overflow:hidden;-webkit-text-size-adjust:none}.plugin{font-size:12px}html{touch-action:manipulation}body{color:#1c1e21;direction:ltr;margin:0;padding:0;unicode-bidi:embed}a{color:#385898;cursor:pointer;text-decoration:none}a:hover{text-decoration:underline}img{border:0}.inlineBlock{display:inline-block;zoom:1}._2tga{color:#fff;cursor:pointer;font-family:Helvetica,Arial,sans-serif;-webkit-font-smoothing:antialiased;margin:0;position:relative;-webkit-user-select:none;white-space:nowrap}._89n_{background:#1877f2;border:0}._2tga._8j9w{border-radius:4px;font-size:14px;height:28px;padding:0 8px}._2tga:hover{background:#365899;border:1px solid #365899}._89n_:hover{background:#1877f2;border:0}._2tga:active{background:#577fbc;border:1px solid #577fbc}._89n_:active{background:#1877f2;border:0}._2tga:focus{outline-color:transparent;outline-style:none}._8f1i{background-color:rgba(9,30,66);border-radius:inherit;height:100%;left:0;opacity:0;position:absolute;top:0;width:100%}._8f1i:active{opacity:.3}._3jn-{height:16px;vertical-align:middle;width:16px}@keyframes burst{from{background-position:0 0}to{background-position:-616px 0}}._49vg{vertical-align:middle}._2tga ._49vg{display:inline-block;zoom:1}#facebook ._2tga span._49vh{font-family:Helvetica,Arial,sans-serif;vertical-align:middle}._49vh{font-weight:bold}._2pi7{padding-left:4px;padding-right:4px}._li._li._li{overflow:initial}.sf-hidden{display:none!important}</style><body dir=ltr class="plugin chrome webkit mac x1 Locale_zh_HK"><div class=_li><div class="pluginSkinLight pluginFontHelvetica"><div><div class=inlineBlock><a class=_2vmz href="https://www.facebook.com/sharer/sharer.php?kid_directed_site=0&amp;u=https%3A%2F%2Fwww.gamasutra.com%2Fview%2Ffeature%2F131598%2F&amp;display=popup&amp;ref=plugin&amp;src=share_button" target=_blank id=u_0_0_Yw><div><button type=submit class="inlineBlock _2tga _89n_ _8j9w"><span class=_8f1i></span><div><span class="_3jn- inlineBlock"><span class="_3jn_ sf-hidden"></span><span class="_49vg _8a19"><img class=img style=vertical-align:middle src=data:image/png;base64,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 alt width=16 height=16></span></span><span class="_49vh _2pi7">分享</span></div></button></div></a></div></div></div></div>'></iframe>
<div style=position:absolute;width:450px;left:-10000px id=___plusone_0><iframe ng-non-bindable frameborder=0 hspace=0 marginheight=0 marginwidth=0 scrolling=no style=position:absolute;top:-10000px;width:450px;margin:0px;border-style:none tabindex=0 vspace=0 width=100% id=I0_1627062492302 name=I0_1627062492302 data-gapiattached=true data-gtm-yt-inspected-31060254_48=true sandbox="allow-popups allow-top-navigation allow-top-navigation-by-user-activation" srcdoc='<!DOCTYPE html> <html lang=en><meta charset=utf-8>
<meta name=viewport content="initial-scale=1, minimum-scale=1, width=device-width">
<title>Error 404 (Not Found)!!1</title>
<style>:root{--sf-img-2:url("data:image/png;base64,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")}*{margin:0;padding:0}html,code{font:15px/22px arial,sans-serif}html{background:#fff;color:#222;padding:15px}body{margin:7% auto 0;max-width:390px;min-height:180px;padding:30px 0 15px}*>body{background:url(data:image/png;base64,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) 100% 5px no-repeat;padding-right:205px}p{margin:11px 0 22px;overflow:hidden}ins{color:#777;text-decoration:none}@media screen and (max-width:772px){body{background:none;margin-top:0;max-width:none;padding-right:0}}#logo{background:url(data:image/png;base64,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) no-repeat;margin-left:-5px}@media only screen and (min-resolution:192dpi){#logo{background:var(--sf-img-2) no-repeat 0% 0%/100% 100%;-moz-border-image:var(--sf-img-2) 0}}@media only screen and (-webkit-min-device-pixel-ratio:2){#logo{background:var(--sf-img-2) no-repeat;-webkit-background-size:100% 100%}}#logo{display:inline-block;height:54px;width:150px}</style>
<body marginwidth=0 marginheight=0><a href=https://www.google.com/><span id=logo aria-label=Google></span></a>
<p><b>404.</b> <ins>That’s an error.</ins>
<p>The requested URL <code>/u/0/se/0/_/+1/fastbutton</code> was not found on this server. <ins>That’s all we know.</ins>
</p>'></iframe></div><g:plusone size=medium count=false data-gapiscan=true data-onload=true data-gapistub=true></g:plusone>
<span id=edit_post_link></span>
<a href=http://feeds.feedburner.com/GamasutraFeatureArticles><img src=data:image/gif;base64,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 width=15 height=15 border=0 alt=RSS></a>
</div>
<hr>
<strong>March 30, 2000</strong>
<a href=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php><img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="91" height="16"><rect fill-opacity="0"/></svg>' width=91 height=16 border=0 alt="Article Start" style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-38)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"></a>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=1">
<img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="68" height="16"><rect fill-opacity="0"/></svg>' width=68 height=16 border=0 alt=Previous style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-39)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">
</a>
<strong>Page 2 of 3</strong>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=3">
<img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="44" height="16"><rect fill-opacity="0"/></svg>' width=44 height=16 border=0 alt=Next style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-40)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">
</a>
<hr>
<div class="item_body mobile_image_transform">
<div class=clear> </div>
<p>
<strong>Portal Engines and
Object-Object Collisions</strong>
</p>
<p class=MsoNormal>
Portal-based
engines divide a scene or world into smaller convex polyhedral sections.
Convex polyhedra are well-suited for the graphics pipeline because they
eliminate overdraw. Unfortunately, for the purpose of collision detection,
convex polyhedra present us with some difficulties. In some tests that
I performed recently, an average convex polyhedral section in our engine
had about 400 to 500 polygons. Of course, this number varies with every
engine because each engine builds sections using different geometric
techniques. Polygon counts will also vary with each level and world.
</p>
<div class=hide-phone>
<div class="module_right right bottom30">
<div id=div-gpt-ad-rec1 class=sf-hidden>
</div>
</div>
</div>
<p class=MsoNormal>
Determining
whether an object’s polygons penetrate the world polygons can be computationally
expensive. One of the most primitive ways of doing collision detection
is to approximate each object or a part of the object with a sphere,
and then check whether spheres intersect each other. This method is
widely used even today because it’s computationally inexpensive. We
merely check whether the distance between the centers of two spheres
is less than the sum of the two radii (which indicates that a collision
has occurred). Even better, if we calculate whether the distance squared
is less than the sum of the radii squared, then we eliminate that nasty
square root in our distance calculation. However, while the calculations
are simple, the results are extremely imprecise (Figure 3).
</p>
<table border=0 cellspacing=0 cellpadding=3 width=5% align=center bgcolor=#ffffff>
<tbody>
<tr>
<td><img src="data:image/gif;base64,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" alt width=200 height=152></td>
</tr>
<tr>
<td height=29>
<div align=center>
<strong>Figure
3. In a sphere-sphere intersection, the routine may report that
collision has occurred when it really hasn’t.</strong>
</div>
</td>
</tr>
</tbody>
</table>
<p class=MsoNormal>
But
what if we use this imprecise method as simply a first step. We represent
a whole character as one big sphere, and then check whether that sphere
intersects with any other object in the scene. If we detect a collision
and would like to increase the precision, we can subdivide the big sphere
into a set of smaller spheres and check each one for collision (Figure
4). We continue to subdivide and check until we are satisfied with the
approximation. This basic idea of hierarchy and subdivision is what
we’ll try to perfect to suit our needs.
</p>
<table border=0 cellspacing=0 cellpadding=3 width=29% align=center bgcolor=#ffffff>
<tbody>
<tr>
<td><img src="data:image/gif;base64,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" alt width=320 height=176></td>
</tr>
<tr>
<td>
<div align=center>
<strong>Figure
4. Sphere subdivision.</strong>
</div>
</td>
</tr>
</tbody>
</table>
<p class=MsoNormal>
Using
spheres to approximate objects is computationally inexpensive, but because
most geometry in games is square, we should try to use rectangular boxes
to approximate objects. Developers have long used bounding boxes and
this recursive splitting to speed up various ray-tracing routines. In
practice, these methods have manifested as octrees and axis-aligned
bounding boxes (AABBs). Figure 5 shows an AABB and an object inside
it.
</p>
<table border=0 cellspacing=0 cellpadding=3 width=44% align=center bgcolor=#ffffff>
<tbody>
<tr>
<td><img src=data:image/gif;base64,R0lGODlhSAHIAPcAAJk9QbEZIVQ1WxBEgyBWhz1mhFVzgW1/f4GLfJaYef/6d/ryd/Xsdf/vbP/ydPXncvvpb/3tcf/uc/vpcfvrcfvsc/HhcOzdbv/we//pbP3pcfjkb/vncfXhb//rdOfXcPPbZ/vjbf3lb/nhbfvlb/vjb//mcvjhcP/nde/Zb6+mdv/kav/ia/rea/fcav7ibvvhbfvfbfjfbfvhb/vfb/jfb/3jcvbcceHLcdXBcf/dZv/eav7ebvvbbfvdbf/hcfvdb/LVbv/jev/aavnYafjVafTUZ//bbfvaa/3bbfjXa/vZbf3bb//ccfvbb/rZb/nXcP/edO7RbsWxc/zXa/jTaf/ZbfvVa/3ZbfnVa/nTa//ab/vVbfvXbf3Zb/vVcPHObP/SZ//Wa/nRafbNZ/jPafvTa/vRa/nPa/nRa/7Wb/vTbfvSb/bObf/Xcu/Ka/fRcfDLb/TGY/zNaf/Sa/vPafnNafnLafvNa/vPa/nNa/fNa/vPbf7ScPnNbfnPbfjNb/TKbe/Ga+jDbYFtPzMsHPDBYP/OafvLafnJaffJaPfHafvLa/XFafXHaf7ObvnJa/nLa/fHa/fKa/vNbfXIa+zAafzPcfPGbeG5av/KZvG+Yf/KafvIafzIa/nGavfFaffDafXDaf7KbvfFa/vKbfXDa/XFa//OcfbGbvHDbMqkXWVSMJl8SfC7Yf7GaPe/ZfW9Zfe/Z/vEafnBafnDafW/Z/zEa/fBafXBaPW/af7GbvnDa/fDa/fBa/vGbfTBa/S/a/fDbuy7au++bNqvZbaRVfm8Xf/CZeuzXe+1YPe8ZfO5ZPe9Z/vAafW9Z/W7Z/e9afe/afvAa/W9afnAa/e/a/W9a+y2aPm5Zf29Z/e7Z/e5Z/+/a/m8afW3Z/W5Z/e7afq9a/7CbvvAbfK5aeqyaOanWve1Zfe3ZfS1ZPm2Z/WzZfe1Z/e3Z/q5afW1Z/e2afm5a/ezZfOvY/ezZ/WzZ/WxZ+SbVPexZwcGBe6kXt6ITNVxRclTOcA6LywAAAAASAHIAAAI/wDvCRxIsKDBgwgTKjzIrqFDdBDRNUT3rWLEihi/cdvIcSNGaCBDhlxGsuSyZihTyoLFEpaslzBjysxFs6bNmzhz6ty5U6bPmC1ZpkRp0qTIoxg7dsyIkWLTiRAdSl1ItarVq1izahUoNWJUdk6/QWSqUSnHb0ePFiU5tNnKlj9n8pxLM5Tdu3jz3qU7N65MuLLarl2WNmRSs2TFhhULNqLUhlsjS55MWeFjrxLBNk1s1iPawtAGD30Z1K8svjf1ql7NWjXqm6ZLC14LGlrFztzIjn2K+XHl38CDG5y3jt29dcUfOtZscfFhpR8Li1b51mXc13VZY6fbOtTr2CxfDv8dXPt2Z927JfaeKry9+6302tVrF49e18zsmjo3D72i9LVtleYXaq5tZ2BOq6HmV1CwjEcbaPz1p19YyuHn0HsYZsjQO8awsso5rLTyjlcT6ccUbp/9ZxJ11Vn3007dHSgjgdrptCBgs5FUHm65ZbQbY419daGGRGJIzzjG6ENIK/oYo41jPzrHY4ppFTUaYD7NVeCMXM64ZU5x4ZhSUTuex1RYUZHoW5FsBveOPYWwUkgh7IyonokZoVibldSF9yKMeXnZGiiNFGqooTHKqFdPPwk4plEQouijU18tx16bmEqGzjiE6KNPK0+WaBFZZlI50op9upglgoFip9qhuRz/Kuuss9J0KChfarmojY2G9yiZaUV41qRPBWmhcZkmi1VDSHq6ijai/pinhFXyiVJ11+nUKnd6NWIrreCGK663jeC6K7d78dqoeL/qWJiwnuHJmJpDKmuvZWBxqA8r6rzDnFikImYqSABe+1a2OJ3LU16EjuvwwxBvu7DENi3ILlGQBltqc7xZCtm9IBfkkDbnzPlslAEv5V+1JamEpVwJ48UXXhDXbHPEFLOaLk5huuRgSe+WJbC8xloYcsiXsbOKOXZuNm1/KrZ8rZ8wx2wXut7drPXWD+ey88TeqQuTnz+7K9JzwxI7L73IHp3sY41p46+88EanFqpT/6kz2Fdz/33oIoAHLvjghA/uN6Iy8y02ada1S1iwwqJnEVRCtu02m3BX2pyUULPMlsuqwqTt1YD2vXXhqKeuOuFcK5wa6WD+5WszDyIldNocV1ThpZdreN9XdN8+rIqjYVu11znXdBcoDdu8+vPQR68187jyHXbFPpGNsdlIbQzw5EHy3rt7v2dGacpLRX2SWwcfnx3srDIPcfSDJ2K//Z/k/8n9/OO/f//0E1zNqle6UFSDZ39ZRoMwRjCQdMQ2pDpTeh6ypvZYDmkVMt+oKrIOeOUmaqDTm/K+FrOa0e9++eufClfIwv79LxH0g5i5APWLUpSCEjikhA13uENIeOKHNoTEL/+G+AtP3OIWvEgiL0jBiyM6kRe0oMURaeEMZ0zjiuLIYhajEQ1rWEMc3giHGMdIxjKasYxhZAc93HYZzSkGI+94h/BWJpKCtc99ibNa8xwGvRbyrxKADKQgBylIPwJwdQMkYS4WgQdm9KMf/IikJCdJyUpa8pKYzKQkH8nJTnryk5+M5CM/BrLyMWc32cjGKp6lMs+tzy1UE53Vrve6UDzseX4kpC53yctB+hF6DzNX2BoxiUXw4x8BSKYyl8nMZjrzmdCMpjSnKU1/FAeDlLvTBr+RjXKwghW7yIZnXOkyEb6Pljaxyx7BtboW9nIS8IynPOdJT3rykoXP6xoo8FD/inMgM5n8gMY+BkrQghr0oAhNqEIXytCGFtQfyvwHNy6YqTZq840V0cYq9FEIc2iDjnWU2tRCd5p0KjI766SV6tw5yHq69KUwtacv8Zk6ceViEnxQRz8Ayo8A4GMLn4CEUPVHVOoZVS8+4WI0YOIMbzj1qU9dxjamCg0exeOqWM2qVuNBn2mIAx/I9Mc+/iFRirapjaLCaEXGwSQl7YIbIDRY6PbGqliJa6UrJGRM6amIvvr1r3/dq0wBSdOayuoTfGBDTwPgD3U0AR8+5YIt3odAoASmXZAb2jazKT6FtGMa9IBoAPjRVLJO1F5oPaW05FgITxWiHM7wXAhjUldW//ERdSwUJEwBy9ve+va3fY1pIVWoOkPxQQ3KgOg/+HEHPOChp/jgQi0ry7jL0g5otpujjzDC2XolhB1gPCZj9yGOdbTDtGYlkkXzszmmNMtTTRoFXAmGKuPJ0qTofN9dU6dC3dYTuIoQrIDhCdx6BnISlSAu6yahBmMmsx+2+EIlcvFcn/Zhsvil7sEcl1mV4YlyFTyIPKaBD+XiYxrhuEc7zlvWt2VQtSfKxjRYAd99jUMbcK3vHe97TgTJL1yF6y8gX9rbARtZsLyFaSD5t7/AscEMYA3AP/bhBT4UahFngG4fdJZf2bErYyLZGJqg0lmBtEMc9NhpAPrxjWkga//F6K3oi9krLY18oxsbrXEhVrGL0Ih0JasaIfxGuN/6CZnIfjXyHhbN6EY7+tGLNjJgX0rY+y1iEmZwhXL5MYk+fMJQi+ADdNUwaMrC5i8Xw+7ZxFysyl1QHusQr1idIQ+CwLnFmPpdQ3J3mG/soq01JsQoZPFnktYyv+ostOAO/d/gDtgO0I62tKdN7WpPW8CBHWyC+XCFxULYCmhYxN9EHVnk0RV7lr0smCGo2e8BydVcQbOJnXrBW5/2rLs75Yly041itHZOc+LoMG4RmnIe76R2UXbg+udfeWYbptaOuMQnTm0kB7ieaOBCMkzMhjMownChhu4XYjVDq5063df/VTVI6rZd3YVPKvLYhrfpIY52HMTe6SXfi8/3tGzsolOEKMY3sSEnY4zilTsuqaB9DOQg3+/AfHX2SylO9apTPaaJhicfvqAINfNjEV/AQ5MJR258qOFQJMwjTbInHmCtWkIYVc9ywuGNKIvVG9xICM4xt3Ne3y4b3zDGKob4TVTcwhjGaIYzRnrwUnstpaAmHMMrMc+H19Pq0UaD5jfP+c57fvOYtwPW7cAFNCzWH5v4AhomcUjAKUKxPj37rUpNQrZjtnsezp3cKeKM0AKUG+HIuYpZfG/17g5NT+MIM7zRDWc845u7kMUtiM2+WJr8dZBvhNOfTvnKX9ylVv+8//jHT37NW72eV9jCJpR7Di6wAZ6VtrTr2QBZs9OK9l+z/fYe93bcYXTX4uAMM+cNNrcQe2d8IMZeaoUYIeENsQB9n0MaeJRfyMNOksdwUfd987QHFFd+HviB5Hd1k4AGXmAH4tUPimAFMgVAr1d/snd/57Z2lnV7hqFdTvMN3uAM+2Bi0xAPVnGAGZJalLIYnQMN3mALEChXExgzdjUrF/hH3UdgUjdPHQiCVniF4hdxeuAFSxBl/5AMW4AHlodg/aMIWlB/XiAupBMKs5Ad1DU7Kcd/K2eDFaEO2XAL2aBm/YAOzuBdekd8wlcZqUU3RWiESAhOJ5F0Soc8yGZLKv/1hIkAdVI4hfE0cVh4iZjoedPGBT8gBzu1XFXgBQ6XdfEUf/TnU1YAOODiNV4zC5qgCbBgbie3YftnOxKSDc5wC3a3D7cwUX6IEED4Hvl2g8LzQUfhDIc4CigRSy8haOgUCj/mhMsGhVEHftSWiZ5XBtoIgtpYBti4eVuQZQ+mCD+gBS5FivBHeVxQf6kYOOACCpqgAgiQCZrgHWrnZb+iMUtxhzsoZfxwC33oMQYIiBiyXkOYfD2iFrKQjEmXYQnTdNNoP0M2ivXEgdWWidv4jeLnjR+oB2zwA8qATF/IAyUobeeogeqIhoYzK5qQCQUwAAUwBZrwCow4i7S4blX/dRbOMAvelg6/4Iv0MpBxJozH53dzdDcL+U2jwIwOmRoQCTgYSJH0ZG0YyZEaWX4ZOX5MUAZedwZRcAbVNmDr6FNbUDiHkj8HAJMGQAAIMAz1WHtA4TM4WRbecAv9+A/4AJBOkYCkdHMEqXO7Q4xHGVLLcBpKOVcmhSAWGJGRGIWTQInwRJVXSX5jUJmWeZmX+Y1fsI5h5QpNoHp4YH4V91/yNJY/tQgwtJKgMAcJQAADgABv0JoFoAKv8ApwOTZtp3K20Qy0gA5ed4fZMEGNEWIFEYzBoWt0tm9ncTck4Qy5cJi0lZivs5hQSY3xBJmSOZmad5nd2J3e+Z3diJlj/0CZXOAF6ydl0eUFaKAHmjia3gdPpglU9sM6czAFBHAABJAAYaAJxYCfB0CPszBoqFaLITENoSBr+8AL3oAn5mM0wPiXwoGcfleIftacz8kKw8ZjNWlS1ImafySVUzltk8md4FmiJmqiltl5ZtAE3QZQWuAFbFB+YRl18akI/CM4h2AJBXAA9pkAmgCPn6ACBJCfi/AKtIBOf5GP0OAMv3CXvCgO8eJuZFZmwzeUETqM7laMA9MyzqmUGpp2jiiNC8d9Dnd516iRlnmiarqmKFoGZ7AFTXAOEOUPysADbGCVMuqe10kF9dcECXajizAHYYCfmWCfKsAJ3uKKxbCW//85k0g6NgtEO9AgC6UAC3q4DLywDblHIcNZZsYpiFjKOcvJnCjRpRjajE2ZHY/ImI75mCEqoplIomuqBbRaq2dwBrVKq7d6q7mqBWq6BDbQdf5IBeqJhdYmT6TXp42JQncQBq2pn0I6BYjqLaEwkypQAAWQAKDACW2IboCWEj60i78QDXQ4QQJpEJ86GchJEdICHSxzLaY6bNPFoWI6po0JopV4plgoqyXaq/76rwALsN14BT/QbcjUD2VgA76aiTM6CXagBn1KeYRVCZ0QBiowAAdgB85KAJnQCYZCE66YCfhpAFMwBzRZE3G5DLOAB2nmj54wC3MIdxTiMRSVrpL/oWsT2kqnIjWyEK/zql/1Wp33OolUqK/7OgYmGrC1WgVM27RVUARQG7VF4LRVELBosAQ/kAwimQw2sAThWZmYOJp7ALE+1QTfl2Bh4JIGIAhzMAcHUADE8Aqy4h2veK1sCQz1iLIxAQmg4G3MQAnekA6GAXf/R7PFCaGg+nIHGTmmsiJvQQsXOgrSmU6QZ2gSia+RCavjh6ebl7T/SrVMK7VXMLqkW7qmK7WgewU2QAWfiA9U8ANnYKKf5416ULu2qwfOhQfXtgemabY2aj+HsAcGUACDEAaLAAo72gmf9rGsCI+WgAAEEJOagAx6Cwp9MFbj9Qgw22FR+j18WW+I/6uuWJqlhVhfLgG5Srl0lLuqQhuJZfqq0HaJlQmen0u1RWC6+Ju/+mu6VdADPCCna0YECqABP1DABnzAB8wDCrzADNzACtwEEBzBKABZ5yABVnDBcGoFrTkFK6AGWxAH2XoEasAFJOx+bMAGfXDCQ7ADU1AAdzsHfBDDfWCpAOUJpSALfqaPuLMbfHm4VkoZ97FrvFa+ImUd6MsKqGBqNlG59nq51wm/8Ut+nDu/3lm/obu/WJzF+NsDhqBm/iBKoBTGYjzGncQPc8oPnmQMBCAAaMxJBNAKZMxJaCwAMGkMnRRW9IAHoKCk/RellPJyfWmzWRHEMFY3pJo3snDESf+MC7THvtb5mBqYuZmHhfTrr06rxZicySIAWVJGVp78yaAcyqI8yqMcUZ8MAAMgAKAMAAQAAKQ8ygDwkgIgZehpQ8TmMylni/63l4DcNoK8LMohxOSbPoS5PoD2ErQADIWnSGH6N008kQQGxfv6nZbMtJl8zZrcU+dQBIbQzd78zd28CeI8zuQszq5wzuiczuqMznLQU/wgB8qgDMegDC5cDPMcz8dwrfYcz8qQDP78z/4czwF9DOogm8bwD/7gBp+AmwQ6uJvKrj1sZuG7FYTMc4xbzIyHzI2wzMjGvh46tNFctFFshUhbxb16xdic0llsAsfkChrQAzAd0zKNBDT/jQRLcNM4ndNLUMI83dM9/QMUbANooAVHAL0qEAa3GsNDkADESwecx0+5C0+lIFT48wqc0MJr3A908AozOJcyOznn+stVMYhqNZg7mxKxRAsbjcSDlnCyYrnQ7KrIqrkeSMXdWM0qndcrfUzKIAKYzLT++p3j+YFbUH9RYAdi0KNhYAfOFgYIsLackJqqCIM28QqzIJsqAAqv4AzVFYe4t8Pc1ctVims3G5jbZNb0FYFUkwuzsNao8IwpBdeOGclGS5klfdcn/bR6vdv6y9L/0NeZPLVV26veCbblV9g+FQVhMAg7ageHIIV3cAgGYACVgAjz6Y6zQkA1MQqa0A8C/3CfxTC9jNPQ7OZhwmkpo118FE3IOTuqqW3Mq83ark1Lbv3WETnbIj3J5WfXuL20us3bAF66XKABfO3X2AzYxP21gy1+yI0PIvAGw1u8DjcHk1AACFAHdyB/kz23N8G3/uAPdpsAtMDVK8HHKzc0nIreYr0QOHvaOnvWy6gqIOvaThm0T3edtC1tIMjfZZCrTRvgQC7gBP7bNqDSwj3ctFrcC+55TEDBGpCWUyAGoidPh8DcKkAHrKfh4iYrspgLiQAKH24FIksABhDeyOAW+yeH5RralbPi3xWqCNm4qi3jM/5NjzBCsW2v0EyJdE2Z3Znb9xvkpavThF7oS2C6A//O1yaw28Kdq8Utfk0eAPtwsQkgBmA55fAUBjkQk1hOhpK94Yai3YnQCB9OCZzwCq2Zn7PwCoVJ3rYhIectFW6OEC3ersNDmIh8X7OACXauqvX6oVKY35vbebfd4z5eBYJ+BYa+7MyO0yjQU8mw6ACO4EnenUuueZFuDDt6BXQgbXuQ6S08BWGQjteN3Rzu5aTuD3zAhi05suG9eNvz2WmT4vjBVT88yAno4sQM4ztmE63d617jyDce7HM90vv958cO5MxOBQzf8FRQ6A7P8DrtAdAu7dOO5L5q7Z0X6QJQAG8wBGgwbd9usQWQCc8Nf1q+5bOH7h/OB6DgNdbqwgn/IAvIsEC6aYOx3hD2Ttr4DmLsSoTuDePWpzy8sNZ3Do2/TqaQLOwfWOwnHeCGLvHNPvVL0PAUHwDJgAI4HeAYn/HauOBnYAX78N1TAPKiGW174KzEe/IoX+6gXijeMeotT0CuOAzQG5Ob7Q1gtuYu9xVXde9XAedoY4w7exJMmR1Fb+f17cxCu+dMv99O798ATuhST/WWj9MEjvUmQOi83fUajwZjMASUPgRLPm2DagBvcAgomfKzEgpyr+7aLQu1GeI0Dws3/9Vro/PxAPhjXZS27hHv2u8j9O+s8AiLf2V6HoU5rt/jx98+zts6XflUH/ERz+yZnwwiIP2HvtvU/17tZVCZYpADa7wPPLAH7UkHdGAAB1AGqn+2gPr2jRAKkLAIH44GJUcTzvAKdk/mUwAQyJAti7UM2kFo37gtXPjN4Td0D9mho8juW7x//7ixu9fR40eQH9mNpIhupMOIDxk2RHhw2ctmzWDBklVTVi6cuULtnNWIFStUoBoNJbrI6KJESStVmtRUkaKmTe1MnYrG6lWsVseU4cpVy9cqVa6MJVvW7NkladNSoaLWrVq2bJHMpVvX7ty4bNNq4BcgmQm4bd2eJVy4ylfEXcW8MTAgwL4oe7JatUMnToEEYexMehq1UtKkR4kSzQVpkT9/aEDtDJXzJrJXUwoQQJAJmf8zgy0VrnwIEeVEkxczbgxZHORI4CYnouzN+1vLlzBl0rSZU2droT+Djh56FKnSqJzDU606OevWrojBFmY/9q3et4Gp3KVfn34Pvn4Bvxectn37sBIrQwsxDijAmADwsUEP8+wQI5MCVNDMKagmWQo077hrxDTU0GjkOutsQkaWBAiI0JmBuEHIIeeYcyg54TTiyDgakSvpJIhS2o2h56CTTiabbrKutVyyA0pD775jKqoKpSLPvPPQG1A9sf4jTL74lojLPi67nKuHCPpKRoMstexvCSsJC/CrMYZQgQAV9knwhzLM00MM2aYII7zOLPwsNNFG4zC1D1kLsSZaNCn/xgACDihGE21UPGjHhlBKiaSIMJKRRuOQS265HFXizUfpZKGupiGJNBIV7pJUasmnmtyDPDugxErKKbUIK0201ipzPi/remJYYot9or4nwvRLA7yyhM8/XskK8IwdBmlUBHwStAFKPdwsYAox+GzyT0AX4W6S0wjFaadDbXoFmRIjFGhFSnvTEThuvslomxk5PQ5T5SwVlUdSl4nJ1CBTzWnVVo8Cj8nwJnnS1qvSQ2zXaK94jz+57jL2Y5BD/tgDMZmt69ky0cy4iiFwKKCAN17IVkFbh0iggBzE2IxPz8jNcCh0UePjw+uIzCVIWZZx5pVFG7VNm0lXyvehSyfK/3ffevz9F1OSXKSUJYSiO3im6nIyFKdPfDqyO+9AW5KzJiWmimKtLAarymjdOtNMZEX2++9iSV6WPpR9VStaLagogtEpdmhi5m3NO2MIAwehYyqePQMtkUAbCdqfoRV2zSZbYLkt3gS0QSaheqn+DZ2FMvKmHa1FsjHgUFkcldSxTxUdbbX7KMrhh+Eeb266cb0Y7zT15thjwJ/oYXrqq7d+epAFT8YDYu+Ka+PD09yhRBV2uIIHyM1r4ww6DDCgjcsxh1jzcs1tpBRFhAYlVaODhMVggRTjAAQwQDGQkY2v2etF7IjdP2ZXO494Sjkp0ZHU8sW7ZpjKd2ZjV07S9v8T4TWibW6bn5PKQzHl3S1jcIkPsOzyt+vFUIYxfIL2uGcs74EPWu3ZQQ5oo4MhaAF92irDGLKyBzq0wQAIoMMcyMOkcf0pSZ5LhNA+YR0Qja4mNGnGMpABizfByRuRapFvvjGSBj4QghLEnRkTWLDelW1dRkNbJUDINqO4DVZxm5itUqgr5lmJhXqDXshmeEhETg8IEhDTDXGYQ+eFjzA7kMLLpKCDKhRhiAoqohGxIoZBYEYMeCDPHqBIP86JZhJVBN0Vf3c0m8wkJstQXSYGWEBkaCMbPBKYSdLYjn75i42gosjAwOaSUpENVRzEYig+YUdWhJB4iVgKhY53Qij//VELRcjbr1w4F5ElUpyHXGQjexAywkVyh2UZwhEGmAPzXUGTkOOKJ68ihhxESAyUoUrmmiJFVbKSD5+go06w6L9ZvuSLKpgNAspxwErljoHckB0wazdMYjaHYGETWwaVKaQ5puqZIHRV8eImt1qhsCu52mY3nfXCcI5TpjFkpF88QD102mVv/TELFcYHp3iORWZErCdWhpCnffJzZ9b8J4aMQkWhLaKgHcSJ/2SRUIWWAwEmmoI2dGmviMCOov9YhnK0hlGBGbNHyJTOR0F6tnU1YqTRHCE193jNlNpqpVRy6Zm+Cc6PzXR6LSBsDAx7WMQSVoY1TUYErgcyneqQ/yxUYMEUaMODIJJlqJzsij29Ba6rPPGUTS3XKlHDhkWs5pWwRBhWl8EN1cmGNuY4INVS0sCyjuSst8uoWtcKjY4iTI5ZNJtcodmHur6Nj300zx8xJkjDraWQxJppYRF7XewmtgXUY6xjafhIuux0h5S0ZFCFCrkzrNSIk0MAzpKq1KWKh7SpXIQeWInaRkyVjgjtYnQQsroDDOBbXk0rbs3KKTaahIIaPSZbx5awOdIxFEPpxHGnqdzlYrO5dnvufwaZFvoYS6YtyG6JTXzd7s4QsidTJxJ68E7zjuUHMxPBGbTQWTSEwQwHMEAcxMAg+IoLlUbRwyROW4lGqJaZWv9sbX9zAw3YakO2CKAtAlOyjbF6QznB3BrXFuxbDAp3mSE1m1A2ZOHvUNOftEqeVy7GTei28JsgS+SJETsCPOdZzyMo8QgcICbvqvhjkXWLFVhQoimsgApnmXGCRCAgroCyAAcQwxkm08/MXSg0esgf6BIxFKoSl7Vkw+qKsoGMb2w1Qqp7CJZlt+Ua3U7BXqtXS4Db1lO9dapEgQSaXzValOY1m24GC5w9HF0tCSuwM7Tznp39bGcf9s9+kcBhDzloFq+lsgRIAAsWzWga56orQ/BhAobQIEw7ZcictiJR9HsoUjtZN99Q3SoYdQDamsTVDoR1p2Rtkdy90UcPHm7/qHfCa1+rmanBFvZkpLQ8XiF7ziI+pIn5HANoZ/zZhvWzmKqN2GuDFwltucIOXFYAJRyhMI3GhwkOI6CjcnsIlr50uuWr6U+wu5XulvB+twiLmMibXqdeRrxUoMt9e+OMyPE31wCuo1pj0K1L5iDCQaiIXy+cuQ5HD8SbpyVC0mXZMuwztENwdrSnXe1nd/YMpp2Mj4Nc0MWqyxJ2gIR3smCdZGG5CXQF8zep4Nzolp+6SZvzTg90ND1vV7z9uyKG1PveBnyH7Jau25AkGOBujDpHDabBgu/a6tHEusKN15RZIW/YxA4ke14qdorHMLtmX3vtbZ/2EYTg7Q64+HXn/969uRzh0EDlqVn6Dkj16ADRg695uvukaTQkPm3ubqbPNeha3TSE6AyNkDcs76niaD6tAvf8dCAs6riOvg9Yr6bWVb9hi2Xy6+9RdrGYfd1n317/+9e9mHiPZ+wKOeDLgDdJgB0YArDbu+O7gjUxgyHYqhxgvuZbqj6xkKSIvtP6tMV7pVjiInnLhm14iZXIBm2IhSm4NwBwoMvjso5AK87bnfIzPzkKNYMSlOMyqQxrMzeTvzjrj4mjLrLDrj3jPyK8vd3bswD8rmJZARxoFBfYgUEyvpnxu7EIEDEoEJh5rwmkwAq5EAz0BzbQQOrjoP6JJVnwhi4qCIHIpYTghv9syAYVcJ+XIQACSEErA78uq4inY7AL4h3QGzP0mzAbBCEcjIqtO4+90pWIS8Bkgz0gvJ7Z07MinMTa270QQMLr2i4lZIEOMBAc8Lb4KIslWEAGPIwhAAP3EYMwoBjROj0L/EIuEENQwyJcwIXReQVcfJcugoVymAIVSIADoLI3fIf24rEBgBPL2zIW/DeLKCZjsrXoMJipM5tmygXu6DVCfBv5MiGVshtja4/o+sFhkSESw788o0R0VDtLZLs8yy4ZegIeWAEEGAAVWIEj8KsdWgJsSRAN0AJpYZl8QgAd0AJWbMUogkVZnEWdeAVOmINXwAlnsIVM8MUEUIEuQgb/bDCQlzkAbNgl2HqHmzGAKUCGZMRD2wGOrnHGznMwGQRE0RuNO7hBDDPE93M4Dps/wRBH6ZE9c8SzdPxJtFtH3ANA34NEAqSNFYiBJZiLSHIPG8iWc9CAsiiCKtgB2VABHSiigiy8CqwENDAyf4jFofiETjCX1pgFTXiFiSwGWsgFRWGUl0GADDKIYpgCc4iHSPmGU2safEOGbUjGfosg3tpDtYLGtjo/UQsFMyuKmMxG99MwRGS9+YOL+htHnuQ4SQRKzRTKoWxHa6ueGBABHzqAEGCBYwmvKFyCpwyAqDSLKtABhpqCrKyTraRAz/jK05qDQwiDQ+AEUOsEATKA/4Z6BVmYhUxIgASYgmLAhqDzolzShmWgN2R4k1XThm2AhlebCKY7yRsJqwqCwVszGI9CTINrmMaMJoXLQT9KREUER4lzRMu0np70Sc3cTP+zPUz8zB5gARkQzhRYAeBrFkZUTaiUSrOATZwZgqKyFYO8g0OggzAYgjlADVCaAmA0ABXoBLeUjQJAgARgS5yghVfQhLT8olmyNW0gxgEwgCr7huvMCFlQsO0UTJRcDpWUmt8Krg2KsCExz+MCNpTqxlzhQdcLR/jcSfnsyfpcUs5Uu/w0rB6IR0TLgHMK0JGLrtVszQO9GRxQ0AU1jzmYAzq4nKaIyUHwRRXIAdQ4Av/uKwAM7YQkI4ZMIAYSfQUiEbNYALoPRIamQQBsyEsXxc5/kIV4qFHu1ENacw6p29HEXEy2Oc8+KKFgoxj2bD2z+DAXij3QvDP6XFLNFIEmXTs9u64VsKwEEIEYEDkfTIssNVCyEIMHfB8x6KwxYB+aswo6OANMyIQcEITNCIN4eZkpQA0uONNiyARBmL5cQEtNWI1Q68Dm9CJtoM6jIyOH2Ia/HNRC1cNDxR2oA89ojIlceyVBHJ5FuIM9ACFJrcnJ4LBvvJIBBRZNpR4l9dSz4wB8zVd9zdfaA9X75D/PjIEVyCcDGAEWwCkrzUlWhUoP+MYhCAL3GYJZHZAr3Kf/NgCyM4jD2fiWPTkEC52CHBiENyDWMJ0DTuCE6aNBqrKqWUIGW2qUKuMlbIXRbT2wFgQYG/3OjWJJMdM1ozm40TgKdFVXVzzEW2E9S71Uv4LPy8TM3KvPfY1aqeVXtOOAUMVPPJOBFUiBl/mAg0VYK2WhLPUAsyAvBFiBK9ACM4iDX0QAAziAQdinM0iAJUrTQNgZ3TyEQxCDOiBWdHmqDfwd/wE6FJGt1CEjmc1WQjVUGtVD7zSmPuRZRjU4RxUhoxjaaDI8E2q4yPQ6cPTBymzazPzJqS3d0g0BElCAbEkGByhCAAyBDNiqRHssK9WYtTCBbNkHBxiCsaCCIMAB/9kQyTa4AkkzkQ6NW8lAAzpQxSbamamACj6wA7/tHIWkOtbKU2SYhXgxIIPQnamZWW1l3HtwwRsFV+lYhsmVMCS53EAg2gzj3Kt4OECKM8oErPjcVKd92nQ0Xf4tXdX1i9Z1XRhogALMABigXeDjgR04ArVAgXMIgFXIARzQEnITTjpEADAQAy3YgxzIgThY3lu9ClLiSuiV3rD8W/shDcbTImfQhJc9gIfKBsjjEfBd3BtpXEQNOEVlK/H8KHJd33Nt38ytQDZbPc8tDCN1xKbFuE6lxP59Yqn9X9adxAFuwgMwWCi1HmJ5gRVYAR74gCBgix46AAF4GRW4RyrAgf8EaK8pyIKX0wKJrTR7ygqbK+Hppd78qr7RgQ2G4rZ5yT4aVtyaNQkc9lbIzdFk2lGDK1dzxdxIJWJ2jd+uW49j64/QhcTDauJJhGJO3lcpDmAizIALEM4PyIDDYoEVyABV5gHqyYE1NpDG8SnZEAAEUAEc+LYhKNUCwIEdWBMcgxKDVITovWPAHUOqk4WH3KoC0gRYiAVbq5caLlSUxOGucSMcxSD0Db0ebRikKIV0HWKajOS6GdJ37RVLZtokdVp0hGISgAB3fmd4hueplWIFwNf9G4FUfqcGeAEZMKwUwIEc+EUcgAEeYIEwmrQc4AG22Md9UADe7d0juBkwGAL/X/5lwuOTMzBhLkDhFDbmLEqUTGgMBKCFESmIJ4sahqjhjUiOm3U61/HeBusoH6bGbQ7aPPLmq2sSo43fHUxaUUzATLW/dB5dIuzfeD5qpH5nEtBXeqZa20tlFRgABPiAHLgBGGCBEbiZl8GZFZge4M2BFGABHkCCtNjHcyBbskBAHqMCMaBKSJtjOna+jPZb+uroPB4SXEBL7lMBgSg1QF4IlZ4gdGjpG3m62zJfmPhDXWsmbu7mb14/nRZnNJjk+XXPnLxk/GVi/S1q001qz/ZsfG1qfbW9DHAZAXPTDxABGJCBgAZZHLiBGJgeVF4BFjiCZjFrtB6LIZCCt42n/4rWSgYtvEmY6xOua+6YqlcABmV+FGTIU6GbYcDOVljgBsEm7BzW2ZhOZJdUX25OCjx47MiWbMr2abIwnKB+xOkxRycu3c9ub88W7dFeuwbwoQgBWRm4RIFV5S6ObbC1C9wuC5PDjB3wxzW5Ma7YyvAg7o027sDFiVnghGKYjQTIBeK8vmj8a24A3+leOoqw7lmzZsQmOJBKTCD2bvAOZ/jl6SnpMHi9bHTObE3eP/Z2bxo/aviO77RbARKQ3QbIgEtEQgQ+zbn4b7LooQgZ8CqENASPCgW3g3LhDiV7Be3lKk0YkZ/za4RYCZXm8MEeX6f7MvILz1lK35o2VxO/Ov8UX88dLOdLBWrMTm9O3eSprXE6h+cbd+q0ywALIOUGgIEf7z0lrAvc5oIiz6fG8cdS/AqLnkAm12gnZ3B3Q0tLCLADoNPWgNbnRukMV9x8wRTrrmbsjlwxb8kftuk8SgQ8EOL1S/PVW3E2/2kXRwKhhvHNlnGprXNcd+c7t+fam+9Ggd0/l7vqobshZ1hCvwJZxhkkT3RFB25gLrwmr5/RoHBNMNxZeMiquvJMb8OF8AZBlYVOB45P763W8bweVuTyNPXvSHU058asoM3JTg8WN2e1ePMeUG/OvvVcr/Ndx3O0I2A4aQB2BHQEpgvcZU0POHafYqguJQu3bna4juv/pSLuL3DyT/iZodAEVSiRZb6FdkkaLNd0b4fRfFGwLh/MAgvx8ZxB7jZ10GB3VlADVoeSvSJSJGbEF6fXTK7125vzfcd1enZnqa29FWgACBT4Hxf2/p6Lgz9rLkATK+iB9rqCh67Cw0gvZ7/opqD4R/+ZTziEkKYNtzQoJtPTx4PukR/UkieJcU/5nR31nrVeRsajl2+Dn5D5zVVzV6/kerdfJIXznS9Cff95fl9dBXjnoV87PXdTC/DxgA1ypmdYkjsCiDWAeyyL34740MI0rncqc+GEMLAsOElLMmMtU8G+lmCItHeG35gIL/cyr7nmGJxGEu9uaoJ5vJ9UrID3/0Qkb9sFXVlHb8DXbP7zecIvfL84fMSP2l63LATw8aTXT+wBvqaXyrQ4ApdBgBh7eAPX/CAb7r71h4r3/ENYBGXOBE2YBes1w5CHsm4XVGeYGraXIFA/5EXV5uJSd6XAA7sHCFZqJk3aY+cgmoQKFY4p47CMFi1FrlCsaHEJRioYl1BBguQJyCc9Ro6MYTLGiJQhVrJsyZIDzJgcINCsafMmzpw6bSrAFyCZgpsyY7pc2SDBABUNQqQ8GYMkyZBPkJjweU7DFYxHchBQscMixSpVtJxxOGYh2oMHCZ6p48/fFzuVEiVadCfMFAMEEKg6BCoX4FyhQgXOJeswLFnNmv8tawztMbRv37hx87bt3z9n3NB9Y8cO3T3PntF5lvyNs2TKqr9BhtZ42WJYiQ8XHly7EW7ci3YvolsJTxtWAu8UVIt2YUOHEatMBHuR48aOH6VC7eE05YiiRYfG3On9u/eeP4MK5V50xYYDBHBkwO60ulSqVrFqnUJgylewYiOaPXscjVp2sOUWXHLRpckcCRBQgApzaCJYbYQFdpgssi32WmupVXZZZpt19lloopHGjmmoTbYaa4+9BlszslEYmG0wgpKbbrz5BpxwahBnEEL/oZEcRFow59xzGmXkEXXVXZeddi5xNxN4UUoJgXjnkGfTk9plcEEBBnSwwghOPQX/H0jyBXDVFRodoQIBOeRn0X78leHfcQEK2NZbX+gx1yGWqIeAJYe8kksjMQImIWAUysIihpBpaBlmmnFGGmiifVbaaSaqxo1kkK3YTIWKwoioYDPSyFtvifwW3HDF9fgfkMsRWWR0SIZUnXUmYdekk0NN+et3VV6JpXlFNTDFAAksFeZJuN5a1ZlYacSDgjgM4VwRY8lJZ1oBToInXHogEkYOBRCQwBycfJKboRBOSCEsFzrm6IneeBOph5SGOBqm6Gi6WmuvLRbqi4eSGoqpuaF6I6sDuWqHj2g8FGQVs1aUUa3TgYTrSbvy+pKvwIqMk7A5ZXleBgi02UBTzUL1/+x8aS7Bg8pSWEGktlqYFbG34H5Bhx0KFjDFHJ3QiNvBhSkaL2PzPvbovR1O6tm+l5KYqWmbpqhiYwPPRpvBtSVc426qrpojQQH6CGSQzc26UcZSiQTVkh+DLNPIefNk1bDEytTklgYU8EEGYpIpErRoUmFFDwcYwAUVFWlRUZwORQzgWt8S+MIgfwa629GFRvguYou55jTU+E7Nzr7+9vsvZVufziLBYAt28NiNLFzJ2QKl/epxsQrpNpEYH6nx3HTrqpLdHETAQQjd6a13ySYXayxXBmywwntk9pC4Azzw8EMQBSAgQhM9HHEEVEgYyQX88csPPxv1s3HGF1e8Nf+FuSqIQQceAliKAZZiEqWABCTokggE/qKBv5gFBEExC1oMZjDOcEY1oqFBcdxiGqo7DdVENCLJmOhEsQtY10D1tdHJ6Gi7mwSOfDcJ46ztIcshnnOMxxFbbUxJy2MSr0TQgQ4owAEQCAEJpkc9vunkZOdpgAqS1QAYuOxlIPHAOc4kASIgYQc4OBcLMEIEsBShOfsZAxqBhMaJkUELmvCHAAhggEyE4Q6KuKMiULWbsYHiL4GRDSADCYtGQYMbsnDGB0fUuhGexjQm5BQKabfCUd3mVC+MocNoCKuHnGF4FssKdI6XJOWhhHm80kAKWmEMCyhAAREgQRKVCKzqWe//b9rJDgTUk4PCVXEkV5QAPwLwj7e8BQAEAAAxk6nMZTKTmQYYgACG2cxkYqaa1rwmNrNJTGFKSjKWGg2lSOhIrUUyNpMMG4wIpTAbqQqGDfsdxGqoHE9aDG4Y8QjyqtOCjgGxSRuAwAJaoY9CtCIHElCABGQ5SyY28XouGcGWupQC7pnkZT/wgCH8EQB/9KOjHW1FATwq0pGStKQkBcAABgCAjk6zpS6dZj80GoAA8MMb/vLmN12HmhKS01MpdJHt3JVOS5atnXjYg3Ca8Ag80KGpfXgqVPvQVDFQVQxqUIMVsprVLXB1C+s7QhO+uj7xje8HZjXrC9L6AxGwta1u/9UAXOMKVwUwgBX6GCgrjHGBIkZAJxKQQAQAq1Ba1pIoTYJBA7iCgAywoKIjoYEHYhDMf/CDCBFoawRUUIAUaMAGNhDBWdH6grOStQmmbQIQUtsErr4gCOo5wD/6YQMmfGF+XLAfG/igWz4oRLeU+C0lCDhAT3gCgZAg7i9Q0Qd8/CMA/aCHZhr5IUvpVJxZA5hPWQRUWdQmQi5kZyXcKRxAWMISgjgvetN73jewt73ufS8Y4isFKcQXDPO9732DEAQp6DcIKUiBfv8r4AET+AIYWMVdE0zQHFQgoTj5wAceAOHBMrShtrxlCI7SlRVQcSRsPUdz+0EGD/ygB/hcQf8CDKAE9j2BI5GzWERirJAzmEEM5epKGd7ChDPoQUCTUGAiPiHkPSasjxUMxYsUdZhlyOIX9NDoP/Bxi1twSrrf/Ew4pauhE2bXnAW7nXeJuohPqCoRfQhEIQZaiDWzuc1ufjOc4yznOdP5zQm+sz5YgQMj1sQBFxAOIQphDAf0dXqExYkTizKCFUBALzjgHgw04IJ+CDMZGjBBi93HER447gk3m1XOdnYcOoiBTQXIwRDC8BYu6GESc6kLb45GKqEaBjGKaVozaOGJYDo3G7/whiNveuXqavmRshNYi87ZrsF8dzefCG8fLMGKQhCi2ta+Nrazre1tc7vb3t52mvH/TNAPOJgmEQjoXQuxZ1keujxDsVsGcNClEWgAAiCmqRE8MIOpeERNVCjAAXrwYpxpS9QzFkPnCHCAQYTBDDn2B6tdTRdUyTpppEvMYpoRik/sA8rnoIVmYkdCzgx7NNbdMiS7nOwvLzsUzd4NHvpQjDWvwg1X7cNV1eCFnfOc513lalhPS9aymtWzZ/Us0j2LAhSYoOkmiKsHPBCBqVOd6n/9qwMcoABj3JnaOXgAoUn2gTS3AqHsrnBhDcsriHIlAcfQqD/k4AEb9KBM/V7CEKRQgATsYODOqdycFkJV/p3rDHT41sMj/mpYL6Li3b04bELhCXpQmqbVCEUhUYS1/xGJyOTF7inXtKvsg7lczHhwgzHWXAw1qEUPMz4D7GNP4xhPjiJUuD3ujbSEruLTq9WhAQ1OAoPhw6AEJQiiCGbCAQXgINyC/sACCE0BnJxboAPNAZ8NjXZEO/SWGnAAUgAQZRGYgAZ1t7tHlrCDcuHH7/opuOV+JAYwKMgAORDDIe6U+FYvPtY0WrbS2BokyAI/hJgy/EI0PFKVbV5OeR5PYVfoeZnttFyz4UEUCBQrDEIfKAJBzJAmoQXbyEo9hdIO8ZA+8ZPdRI8GMAAh6AMh5MAEuFK96YQDNB8rBBohNJgStZu7qZ2ihYAEeEAy/IMAFMAbRMCYnB+/pd8O8P9PDhzBJwFeGaABHehADjwTAtSYWiDeqvGfAvkfu1hcohzGJ+BBxwnTPniCZkTGpizgTXEev3zGyRlbOa3cBJLed/WBG2BgHPTBJHAgPMVT8EyMCL4NCUqHxpzg8qQgB6CSMazCAiiABsTSTkSABeRAhOXA1xXaEp1J33DfhbVESnwfGVDaPxiDwoXADkQF+iGB+mkWDkChxUhhGAwB4SXA/+DBFpZFF0rcxIHO/4lhLmjcI4RC5fUDLPxChrRhiaxO58nh54lcHW4XJY2KC6lBHLQgIdhceAGiBwIPchCikHySDiHirUDFPi1i80BP1kEAJX5HBBTRQWWf9nnid3T/H1OIgANkAK/1QwsoQBQlQOH4UisuAQtolhTIIqgVnBYMQRWojP0NAY9hjv71Yv8BYxg+HmCUwiMw10btAx5g3jJqzciBEHU54DhB4OxIIHehk8HQCCi4QSaQXROcASB6o9pskg2N4wjqnjn2EEmkYykxYkyQAJQo1MjwoN/44EpIgAPcm4gpwASshMrsEkEuofvsAAIYQBAoJMGRxRUMwRWeixaIwRQmxC7uny8ynuOlUy5IAh88mTDhAx6UwjK4xkhq3hs2IDQ+IJdFoB22JJhZI258Qh+sAs25AR4sQgd64zfK0zxVTE9mTCKiIwquI94gZVJuXw8ypQQYgSme/8NfMcsKdIDgfMAKKCE+UcER7IABHMANeOXfVcEZUJXQTMEQ0MEeLERaWuQXYiTSJE0pgEI/wgIfVMOK5KXIMeBJ9mVK/uVKBmY1vmQjGCZiFkImuMEd8E5jduBj+og4SqYh+iQ+nSMpmdLHDMU7aqaUKCVNOFEEPOVM8YMMOAAHiEkGKJYIvEBI4BPelQ8CHIH76UdDasEBDMDCDYEZ1Mla8CLEeeEvNl4wFsYvxGVz+UMy4AEkMIrTsCFJMqcIOed1QSeyUaNLglknoEIrFAIrZEIflE14EYRjfiBahCc5HmJ5AiVJ8FM/NYl6sudC2eNOZMn3yQHcGQKhMUXLxP8ADGSAgkxBBpyff3oRg/DAgFqEGKyfXiQAFQwBtyhEbz6oL1LchBJKSFYeP4BCKeQCk8nLXToKM5bksGWZX6YcYJroYB5KLowCJbQgK6jCIzhbO8mod9LoQtjoZB5PZZ4nevpoyABpe3LmUnIACUyAA4QAr+EDEDKFkjLLU7DACAjOo6Gf+rGflVrMtdzmEJilj4Sp4kWohLILoQyQR/oDPVACKNiamyqnG5JcTtHpc9ppdOIprYXCI6iCXbXCJQRqUcXoHxYqOB7qTopn8eCoCfpQKfWodnAHpE6Je0JAUUIAoQ2hcxmBBEAPSyzpmKyAvA0OCyzhEqyAE/LArGT/KQ7oBQLEgYKe5X+4KoSSKW7kgpqiQTJA2T5QAiQgma42zZs+zYda2a+KKMod20+dk1CFQh8gqz4YQx94gu40a3d2oKEqBKKOJ9zkaPLs6A8RZWZ2K3h8K6VywEEZwZE6gAYomqcmYQZEEQKswBH45wrAIr06xxA0obngplkGXr/uIhr4JlvmRi4YZiKgKSSUgoTAy60RkocuJ8RSF7COqLCWqMXaxizI3JpxLCR8LMjKKE5GK0NM6yeB0snyUMrmijqm56O6bHhI6ntWqgJUgEf2QwhcKs4aTkmIwJOuwGqyQAIUQCyCBRXoQBAIjZtogcQoLYM2aNM+KO9EqMLw/wEbnOE/7EMf/EIAhsquwqnmdW2IXk2dUqzofZlg4IJhpl4hrEIfrIvawmhjtq0gDmJk4hBY2NMSoGzdCmWjOmrL6q1OuCcHZF3BbhQZSGKTuEcvvYAMCI4UsIBHWMEOOE5XWkTR3utegIGXygnPMG0Xdu7T4gEXuIIp8sMZ4MHlnS7GMaxyBhtOLVK/BCvseo3s4sIv9AEGuqiY9Yaz3pHIum1CAEknDUmiluAoqayupGD05C3zkoykJpECTJownUPWfYz1OpYvscAXHQAL9ID6KQHAqU9F7MAOaNbQ7IBDygm/Zu6dbC6rsW+s8QEe9GMssEEj5GmtoS7+qi7Xov9GCIHT64Dt/6qQqACGJ1yCQBECIDyCOq0TjMaoAsNTxAgPBJusKJknBXsMZkpPBmuwkNoECWjdvdFnUNiNuuJKDwRtsrAAFaxA253qFbCAayEoDvQd4H0pb6pvuFykHjSBMsDdOfTBmrrk0ihGcj6NsZWkIjVnSU5sHdZOS3rCL2jjJYyCLJSeFiMwF/vu74bjTgrvc8CNdMgNtg4ly6JxGu/NGrtjPIKmMBlCEVnwHFsRD8CALrGAvHYFHlMBC1zhACDAFeTHIKdvgxKInrzaIigCFyjCMaIBG/gRJMOLmzbsxFryEsdhJtOhynFyLjzCMCQrJXiCLSDMy5lNyH7/YypLa2TeKAkabyybMd4uby1TCdoRGq/xAwlIJQn4cs4ejgkXwGbt7H3wwBEc5ILgxxDUXqhhLg5rTp7sCV2gARfUqjJ8wSQUK6IsTepS8ofuJetgMtaE8zl/jSygwswJWsdSZyn7xjzzSD2/7T3fKHnmE7byM69w6z/XRPU4JbmKWNbFbAr+shWBhB7vhYblALu+lhTQcEVkS4wZXEb7jFy47yZAGT7o1iIQMamY9BE7bEpPTaU8Y4k48dZ8ysrRAirYbjFcwie0kJjhNNsShE5/8bSy8sVY6wSXBI/OMi3XsrDEpy7/QzJk3QQYJbrKcUI/9VTUMZtMQePiwI0l/0AX+V2c6AxGF/IuSrM2T8IxLgIbTEJGuuUYLtlJR0YlM2Bbk/PJMeM0wsIuqGieDUMxHkw8D+ofAuJfQ+YN+XTcFPaSaOt2PElRA7QnRkCmiqs7whIs3RJ2qGsSsiJIYAQPfC9DGwBE4gAPXMsV0J5YwB5X6wF764EubuG32MFbRMEW3Js/KAMblEKskrT9Mo3WhjPWjEbVEBvskOhP7cIoYKAqjIJZB3cCE/fINrA4CjZFREdy66jdZqsFO3dRV8kGUJo/gEARZR2JO8DVAVbVVZ1cwZVbNV3SgdYPxFsBDAAB7MUJaMAPkJVYjQRXjYRWWYEXfIGQf4Ea2NYWUP8BR6FB5eHDGaBBrMrqdBbx/f73bAsbiHitxOJ2l3nDKAiDNo6CJ5woKWuxb5zyAoMjv5asGEswGRv2yp6xPzOvePhDc+EDTcgAnue5DLgAn/e5n/c5EZSRoBeBERS6oIsFoleBQ+hAFHUFFRQBGUS6pEs6HlV6HmEkcAJGHtF5iNkCF1QCcCINC732lHfobENsbWNZ/6Jc2DaGLIxCJiQrKsxClI852ZT5POekTlJM3JajPpOShiN2YuuteMyUNL0Usid7MgGAACCTsjNTNlkTnc+UP5yDF/ABwEL5iWJtbGdeEuMUaPCv66KGlofeKFwnxzqDYAJgsylQAp/5Tkv/ePD2ej7TbSzLsrDDRC07gCF0FD+YFMAHvMAD/L8PvMEH/FvwgxZ4QZA9bWt3c+kwbMNu7QI20oiEe+tOSoF3iqc8gu2uwiPIbrvkzsIIdxd/56HyNESIBb3rHj4BNQXfLZzrey3HZyvdPM63UonvPM+X+F9RXdQFvQesOFw1HdM5nYt/FluFFmmJTxScFtSbFhN01RJwgRo4OazSCH+TzqJ0+6mzNcYzcZb3VDrAgsfnGTY8wtgC917L83DDO2DPOz4ramFnePIONYcXNbe+28fMwAibBPABQVSQBO5hRIthhO0NXHPQHlnEno/0WIBAKOM9uehEOVprLcU3Iwj5/8s9iPtOgS0kcYMz3IKfDsMuLMPaVxJR4TqhBmLcUwyFV3go/WSbi8ndKy8Gu+yTwIQFr8QI03F/+qc9xa0UEjKYwvfbr2W2V/62I4Z/d2jmyymWdb4Ifa0CSsYtBINdEYIp7IIKzcaoC0bosJPJw33cLwe1VquRICLMx7xQ9zNR6/7uTzZlV7Zlr6aFx61W2/DlAIQdgZMITlJEsFKlRIkWNVzUCCJEUKFyVcwVimJFWRtlwYLVrNkykdBIkuR2kts3ld/QqWTHDh26e/dewoz5UmVLlShR7sLGSp+xUreWNesIa6PFixkrhooY0eHCRJUKHiwoUCAarVu3jilTRv9L2CpFrpQ1e/bKkiVU1FJB8vZJ3Lg96NKNcffuiBEh+Pb1+zcEB8GDCUMwfBhxYsWLDxN2zAFw5BB69eKte1nu27dq2y5B+7lKlbBavpbhehoN1oIGESpk6PBpI6ZNlXI8GlLkspLQvvFcydKlzZk1Y6LDyVInym/vdhUrVMgYKmcijXrkaBGj0ouxHS5amJCgIquTsNpB3fXr6NCf0XZeqxmJ3CeX7eKlLFny48KM+ffXPxi/yCjDKwb6epBPM7bcY++s0MIqbYzztlKtKoSk6i622S6qjSOPcNNtt96UW0mnl2Iajjjj2CFxpZO02cWY51bxJLeimrEuKey0c4r/u4akosqg8cqTUCuvwNJiPQbNcs8tuOQz0L77Avzrv/36869Kwab8a0DLDETwLQXXUkvJK4oQ7cGvIpSwvKqscu21hjLckcONkPpwN958y6lE4VC0ycScfutml1b0KaSYXbKBJjeQOroOu9l4fCqq7yokqDzzJDRSPbLKdG8J+J6kj0Apt+wrS8dIuNKwVAk7tS/KRiDwSzDF5MwzJR0kDUIiKQyvINcwnDPSOq3DM8Q9kXOpuJloMvEmnXT6RptpCNGHFXPG+YakRqtDShalssMutka6szQ8IbEiklOxqiizLCY1G5XUKPeClS9X9d1XS3z56vKuWjND4lYF4d21/1dfB0o32EQ+GTYiDcfNxTbrasxTWeC+gZYdZ1M0bp13gEOnG3KAImSXbrjtlrpvIV1K3Emh8nEqIMW7at1N20US3rTGVEtUeusqVS9/8+UXaceMngzggDGT74kwORPz4NESPq9Nhgm6ELanJGaq4o9yy1PEk37r8yaPPzbnnGzUQecWc4BqZRdtVNrNWxzDLZbcHr37zubVhty0NHd7xhXoeeUysAWi7106sKT1hZxpAgsUOGqpQYW3CKvVJDK1hYNsOM6HiG1qtg7vHDvZEZfduLiO1bZpHUJa6Qad5p4zpu7eVmbZxkdzRF1cUPz+GzzWcM6K3fTE8lRJUJt0cv+ueu19fGnJ/6Oc6cpopQ9qzXA1uGpeP2fz15stLP104i1SHSTWSSrbbD6ZTXt2drRxjpVdYJRxF94Q0e8Y1TLhDQ8jTMHI8X6kNfLkjHBHQtK74IW491BvPlByHPeOpj0O/st7XnrawDazIM6h6WpYE53yJpGQ0pkuYjsCG/xwQ7aMSQtQsvsTya5ViHEYKluKKhsBawQScA0PZn2bGc1qBqzlgQ4NhXteBX/WFsVVz3p5KdoH/ZIqLsYqhJcDH5g0R7XylaYMa0KfHdxEOohBZGLuo1iHZBE/EJWEfmfLSQ6d9Sx2vMMchTgUELFxi52MCG8t01vMisfAJrLwgcz/kxAa1UPFKk4PagbqgeVM9UVP4kdW38McfMREvjKdKU1pBF3WRre+N8pGUqmz00fsaEPXxSQ4N9HhcEgGFH38EmWesBv9UpLI4B0xZpJy5FQcGEnQGUmCY7FkKa+IxctYLgad/OQ2uzcrUY4wLglSkCnL5CA0qlGFdtjDpVqokO7AEI6xfB8N5acnZeESdrrsI026sYpf/pMVrTCGObLBE7MZ00ZH3Jsct0OpSjHTiZiS5HmgGc3DVfGC8RHa0ByHPW5+MZTfBCcpN3fCVKITNay8GR4eMYmFvHIiO5pFRmRxCzvZaCStq5/9jKPLXd6jHeLw5T9/WYhWcCMbecxT/6MOuNAkNsV4DmViGyU6UdRAs5IXvVXQFqfJjm7xo5STlTdFOMoETY1MZRLDD3ighSiu1QpoGMMWohCFJqDhDE2wqxpC56ZH9AEPLmXfU2JqkWp4AhW/oNgtdnGLY7EuG9pwRh5ZxJIc7pIe/SRqUQNajG0k1TdLVSQyxbWjZQIJkhCkKCXDAr3oSY+r1rzmV8Mq1qY5zaya+xm8qACGVRSDC2e4gm8HYYY9FGMVq8gEFwSRXOX2AWeKwEMmCEGITOBhEYrohCIa8QnvfqIRhZ3ILIrRilVA4herIIQxaAELZ3xoGdlwBjnKYVASoU1Fu5yHUP9ZiIBiw3/DVKoxjf+o0NKKq1zngmgrI6mpCFpUq+OLbQY1eD2P1nZLIS0rODOnW870jAereM4grBCFVhSCEF4QhCAP9VsWs6IYZ1DEHLbghS004VqsyMQcHqGGPvShFKP4cR9GYZG/9sENxtAHIYSQ5CUjFhWjcIYsRjGK5rDCGLdw3es49pI+diNG/m1FMboxDrupQx2/CS2Bj/KypzbleMhLl7qsehqsiqVnPqsifDTa1QpvEMMZDmMY8UIDTWYwTFS4FeKogJYoXEsfq0ABHIBSiDes2L/6MC+25qaGM+yhFVh+gyAJIQk8FIMQAR2Geqs7o1CMYhWssK6SUZxcLMMooNTQRaiNYaj/QpjjHTvVWE/zq0N2rMMYxiiGOMbRjXcYR1AtUo5oE2pghm7IkahVX4OheOckTXNqE9ZkDxqHzbEGGoxjtZwINNBud7fbBCKQ97zn/YMX3PsH+da3vl/A1itooSxWGMRz/IsB58ioEgSPtD8JXgwf+1rTJ2uEGmItyFb0EFuPeISIBYnlQ2ErRuZ9zpJp3QpfE3Sn+Oyyl51FD3Z0oxvrUBG0X0dMAhawKHpzahwbukQfJY/Bg3vwkb79KQtOr8+ynS0nx3phTzadrHlBQj/8UXWrXx3rWdc61vuhCCQAnAe0fo6JsbVkTFuc4YI0RhMCsTv/AmUVGqeuxa9FiOf8/9VQJ9b0kuu+ZIhnehWXUDIrblHQlER7YzCpyU/vMY/FA6qyhzwomxfJNyX6HF0M3oPQV+s8nuXZghlNutI5yvSmP73p2CwQDJDgj3+8Hvaxl/3saS97f8ihB1eowg8g3eKh6ti/g1eyyZdsA0zHiBVAKQYd+gDxiy/57n24VqiNyncU+/1QslZ+H5SMMsNXduaL32f+dIn4AZckb9Z+81KyrW06OziC6qFghMNdTdKX3vSn9xfUCS3KFhTBCIpAAAdQAEPDAEMDjRKwNMhgAcnAU3pLRoDIv4oB7lhM0/zpn4zBC6TvUKBD+ZgP46oL+gphFDZu5DzulzyOEDjOqP9obb0OxRi6oX5U7rIY709sgubwyeZEy1HU780WyG8ayIEy5ZmkaILyzGcKZsLurz5UL5v4Dwqj0Alxqy5KoARswAZKYAa2kAu3MN94gEB4QAyboAeAAAgMhGDKogqo4A3WKwre4OJWUAjUaxXi0Bi+gLpaLbAOoRJ4TfAIYRju4BEsobrGjA5NzhNCwRNirRWCAdWqKxO6bxSMQdaKwRl4DRt4TWUib+XGj/yixfzWDP1GyzYiRZnaj6q4rQgl6AgvCqOQDmqYsAmn8AmjMPVokQoPLXxICq3SyqS0gAe2oAyuoAlujK+4oAm0wA2aoAn46gyW0QvogI2k68ceoRP/+KAPFKEhIAEVfqwTSuERIAEPSgEWLmIUomwWZuERqowDeYexHCsbxmEXxAEaykyA9MiyLssT8wcmQuYdZE7NECmRerAULe8iokqqhDCiiHAVR+PzXLFgYDGTxg3/cDGbzC3qcJEi6SIWO8zDzKhn0EQLoAmlUmqF1GcquKYhQIEl4ymZ5qmmVsEYomE6cgoatkElsuH77CfxYofl9vHx0EEeyuzZpuX8WKYH1Y/nZAYiFGzBxqPB4O+qjPAhwa3+7E8WK9Iit1Kkxq0j+axgPizPOieVVGmVfoWF4OSVZOMlYTIWbsETZOFi8Mi+om3mim0fb/AdUC35jOHZAnLy/0ax2gpyKU5Rqv7mKd9PKqfS84rO6I6OzzqSwjZyFrnSCSmTw0iIYBZNLPNMJM8JitBy29SyayKisBiqYkACWebH5uxy5Wywj2piLyGtFcZBB4+yiG5EKeOIKc3loZJn21SxeYxw/iByqyIzFjFTk1qAOcvNcppTOTFHM0uoF3PFM1EohdKJjVKRNOWEsOTJWOoIvnQq5fArv/Iyf8Zh8LBBHDRG8oqJwFwGiXizN51S21bDmVbR87TAtazyKrFyMqNTQAX0K8FyfEAyJD/zfM5SdEZTJeEJjmSoTh7Fju6INyiLp3BQ/NATRQBJ7eSBJ3dQMFWz8q6tPn/TZqCS8/86bz/7k4oUjdH4bPSyckAHVDJlFEanBkEPRkHNUmFEczWEZS0lRjvoqZ5ak8s09Cc5FCbArKiMQRySalrsC6GS0s2WMsFQtJlWlDEbszghMkZlVDJptEbH6EZxlNE68zo9x0d/VJ2486WGVEJh8jZWc37qclnuckM5dDja4RySyxjO4fCmlEpHVD53jjcRsintk52qCorkirVaEQnHJ0yRc0wDtEwzcxcNlFLVNCQdklfGoCRPI1O4U0i902u+ZkJXp57sSdjMsyb4NDZhQhve4R9XpOYK1VDbbD4lJkuZyP0ER7WGTv6QMF6qsy2QDkAl00YvlYx4sVN90TMdEkL/RpUrSrVRuxNC2ZKR6NRD7NRVXzWX8FJWb1CXpEXaRBHnrLRXJUVRffM3U1E4h5MVHdMVMWotlHVZnZVfx1RGN/PocMVY1ZBas3MP9OBaWQmStLVcllKW7KSOWjVc8ZHYzrNcZyd2pIVQp00wj4kw1+9EKwW1IGleH8wh7dWS8NWK/hWD+tVlw4llObOKBrYsUKksTYMrzkAN+GpCyoMOxEAMDmE8XGgRJqEPHuEhPuFocyFCxYUWZmiWKtSWtgy/9vRiP+Y43FNXgYcg3WxDGum05JUh9fNkv/ReVVbR9HUJXzYWWXYzOfNWaJZgbxal/uAN4uAMtCIrtvMNBkEQ//pADRrmEzqhEYohEzrhEyzhtz4hF0ChSG+hDzzBW2mpVTGUy3xySct18c41RLc2N5uqWy8P8x6JwUqWSKgSSVw0ZVU2X9XWUvnVbUkpR0NPYGl2V8znK1CDC2KNFQTBDCYBDfSqGQXB7lAsE6CrEh7BDdTAC5yjFZrMOQgBFf7qEXLBFo4sE+NujqK2lsjz8KINWsj1Ys115mpORIFnMK9Unn4VMYN1eeqsS71Ubo81WWlX9GIXf1nWfmeXC/p3WuVPNPIWNFGjCQwl0ppgDvagDlshDlas7FghEM4ADyzB5OCgGAapGIYhoPpAvYxBEjZOoIAoE2yKe2vIe/Exn//Ed3x3qPxyVV3XVTc/NoFM67RGVkW5NH6jyWyN9UBlVkfT1nVxFIjtN1lzlAp2AImTWImXeAd0wImf+ImHQIqneIrFIG+14gzawJdaIQrUIBNe7IsLIQ4EqRi8oBR8iRCcIwWdV40LwcWwpYdWYRRmSTwr94ZwyKcyd3w3FxRv84XXlVd7lYZruFGj8lFFNVIlVW4ZbXaJuIfT1pGPrpGvoNGmQAUuGZMzWZM3mZM1eQrAYE0orgMLAQ7UQBB67Zc47hLgLgr8iRWe48SSb+9E8GTqrhgGTxVoAWIr1EKR1D2VVI9XGGtx1Si3FueKoqkWaoYRjH1/5D6FFX5ZtF7/d3hgJdmHIxmbG9kXrSAIDqAAvhmcw1mcx5mcxfkABkEM2kAPCri/HE4N1Bj4CmHg9KEYomD45gbFpg/FgCL5Qo2ehaD7+oCOpZY8zwaPiw02rxZrW8KPOTY+da4toapc4FUqHik4TZdYy3Z+z2J/rxmbizj0GAQHcoCkS9qkTxqlU/qkMyEQsBgQLG5umoAOCLHFBInULqEPDk5GCA46UAyIVhCIBOpQisGx7mQ86fKGVuI1Vxgow/c4ivmFvSWQEXWQD7Oi3fd9H7VIElmRN5p+rRmIjTistbl2y4SKzxqtpRho15qtgZYO3hqu6WAr6IB4W6EJMmGDGyETMLDX/5KPECwBafEA+YqBEF/ZGLBhyS4hlldBGOwujQ3bE74VXJEUn8LPapn6E3MQquuH2rr2ZZZZdBeViRITP8dWP/fTAL2aQT6atVWbPW4Xd9sUdH4MDVjKDt75xTDhaDUOuxoCDyABEkrhE0oBEpR2+CI3F34hHX8BF2bhFmwqF45lsg3qe6dlqTF7/PhYRUIxqg0Iog3yICfaPp8ZmhdTZ7hamlybPVg7pNUbNESSbrWaebDiDs6Ags0LEAJrEu7ghbzLeB5mFiYRxl4hF9KxKWaBI3TZqKc7qfMxj7E7u7WbmDf78Dr7UOcUO94VXoF1NaCyqsxbmllxglTXvUtctf/PBL4TUFTluzzW6SrUoAkAy4XitDQjJhQ+YRQYd/0qpo6PlLo5sQYh3BMlHF3TNTC5tsBsQ5lBO7ybOfNK15C1OorQeyxI3MSvnHNQHFQTUMr1Fi2BJSFmnMYnelwclzbolEKPmjXxtLI7UciHfKHN15g/t0QZKoHYl2aA7qIzBcSvqqKmGWWxXNAbxAALtlq7HFvh9EEn+jRRB2q5dy7X/J6sO8jfPMJTJGspHD4NtTo+FmRDVmSx+sOj2c//HFS7etAFHbZvVrYZdIUcCE4Gq2Fl6GHbTM3vtMF78sEt/dJzSGONvMLjc6rpRIbw3Jk7vLRxmF0QmasniJpTfaOaD3DLVdxatXM7kZ10aHxbXdIUJ5RCIx2pbwlWY5XX4bzLIu980dezBbmqfQ4xF4xko7zL/7wMzgBUUxvavVrap/2cqt3a8XNhK3otud0gldyoJdaXcaliL7vcPzFQXLi7baTT1VdDeu4w313UR73L0SMBT/0Anz3f3xu+2fTQET1TXLyZYv2dyFxVV/XgbVLShU1jnJrc+TQgAAA7 alt width=328 height=200></td>
</tr>
<tr>
<td>
<div align=center>
<strong>Figure
5. An object and its AABB.</strong>
</div>
</td>
</tr>
</tbody>
</table>
<p class=MsoNormal>
“Axis-aligned”
refers to the fact that either the box is aligned with the world axes
or each face of the box is perpendicular to one coordinate axis. This
basic piece of information can cut down the number of operations needed
to transform such a box. AABBs are used in many of today’s games; developers
often refer to them as the model’s bounding box. Again, the tradeoff
for speed is precision. Because AABBs always have to be axis-aligned,
we can’t just rotate them when the object rotates — they have to be
recomputed for each frame. Still, this computation isn’t difficult and
doesn’t slow us down much if we know the extents of each character model.
However, we still face precision issues. For example, let’s assume that
we’re spinning a thin, rigid rod in 3D, and we’d like to construct an
AABB for each frame of the animation. As we can see, the box approximates
each frame differently and the precision varies (Figure 6).
</p>
<table border=0 cellspacing=0 cellpadding=3 width=49% align=center bgcolor=#ffffff>
<tbody>
<tr>
<td><img src="data:image/gif;base64,R0lGODlhQAGWAPcAALYkLaIrM7o0PLgrNrw7R8M+SP/09dyaocFJWLAXLcdUZua2vevGzKkAHspxgH43Rfbn6vHW3Pjs8fz4+vz3+vz4/P/9//38/bu6uwEBBQ4ODyJWhWpwdAAGBgEDAycoKNzd3Q4ZGAMLCvv//np8eQYGBQgIBxMTEv//+v/1dvztcvjrcuLVafvtdfzqcP/vcvrqcPrpcvLibvztdfvrdc7AYPTkc//scf7pcf3ocPzpcPvnb/vob/rlb//qcvvocPvmcPzoc//rdfvnc72uWezbcf/nb/vibfzjb/zkb/vjbv/mcf/oc/vldPvjdP/kcPvhbvrfbvvgb//kc/vhcvXccZmLTVZPM/7eb/vdbf/hcPvebvvdb/zabfvYbPrabf3ab/vbbv7ccfLSa9m+aXhqPfnTafnUavnTavrTa/rUa/zYbfvVbPzYbvvXbfnTbPzWb/7acf3XcOXFbCAfHP/TZvXKZPrSaPrQafrPafnPafTMZ/rQa/rRbPrSbPnPa/nRa/zUbvvUbvrTbvnSbv/RafrMaPjLaPrPa/jMavfLavrNbPrObPnNa+7FZ/nPbPnNbPjObP3Sb/vQbvvObvHHbEI5JPTDZP7Naf3KaPfJaPrLavjJafjKaffHafvMa/jIavjKavfJavTGaPzObvnKbP3Pb+/DbPS/YfK+Yf/KaPrIafbCaPXCaPrIa/jFavfGavfFavbEafzKbf/HZ/jCafjDaffCaffBafjBavjCav3FbfvGbNStbcKicO+1Xf/BZeyzXve9aPe/aPa+Z/a8Z/W8Z/zCa/zDbPvAa/vCbPe6ZvW3Zf+/avu+afW5Z/a6aPq9a/a8auKtaP65ZPe0Zfe3Zva2ZfWzZfe4Z/a0ZvW0Zva2Z/m6auyoWfGtYfm1ZvizZvaxZvayZvWxZvWzZ/azaO+waDAlGuKVTeiYVeGGR95+RNh2PYqIh81cN/Tk3/rx7sE+KrsxK1RTU/////n5+fHx8efn583NzaGhoTg4OBkZGQoKCgMDAwAAACwAAAAAQAGWAAAI/wDJCRxIsKDBgwgTCixXDhs2bRC3bePG7do1axgxZtuY7dkzaCCXiSxGkqSwk8SIDVvJEpdLl7pi3mJFs6atm7Zk6ZQVq6dPn56CCh3qCZTRo0Y5KRXFtKnTp1CdKuWEFCnRq7B+at2J01bNmrdi6nr5kuXKlCeFlSwpEiQ0jxw3ZrRmkSK3bRC1OWRYTqHfv4ADCx68sOHDiNooWpwbt+PHkMvWFkub0uxKsrjE6pr59Vatmzu1+oR1NWjVqqKMMlWkKJTr17Bjy4bNmimopqePlvaUVXRPrqC/stKMGZdltGnXilwGEm7cuXTtSsyLjS/h69izE2boMO9ExRczNv/2CDnyWsoqzRYXy9kmaJ2+e+4uipQT1Naz8+vf71rRU6WnlQZLb1sBd1NnYcWE2XHEJCdZW28909hcFl1DEV4Q7cWQdhx22CF3h2kjEXjQxUUeZOehZxlmmrXHSlehiTZgaVVR5RR++3Wi44489ugjf645BQpVVWFF4E8GevWVWMVZNkyDDpK0XHMSPpdRXRdSV11fHnbp5V8gevfdYuKZ+Bg0I5WUljCVqfdSi1/JcgtOPPlGGlH1Abgaa7PxeMifgAK6yaCEFrpJoIjymB9r/jEFoG5EHYmkLDi5OByTZZmVEpRqsQXhW41lQ+GF02lTzZZfpqpqYd1FZBeZGpn/6NZyKbKZXktksfcVjHVqNSOeRy3FVH5+GmpsIsgmq+yyxhp6iKKzNSoKkZAOJelvlOLUGaaZahqllMxRaSVGFWaZIaqrpvuhYRl+p014i4lqjWPNmacmSrdelqtMwtEJn69X1dhUnzs2u4myjCas8MIJJ2swtLE19SgoAvpm4LYKksXgt1NGOOGVFlKkJbrqBlZONyinrPLKLLfMcjQwxxxzMjTXTLMyOOfMCzLKHIMML0AHzYsrrhiHK0xiCTdnTr3+FHBS9u2JYyg6BmpoIgyzlmwjXHftddfJZq1IIs4GqiNttaVGbaTxZcs0WNy6pCmnnYLrlnNyjXoXhnpZ/1cymOSow87ghBdu+OGIJ6744oiv4/jj66TDTC3DsBiTcC8y3XRPdw4V7MCw8Xg11goj+/XpqKd+OukNk10oxEE6apW1ol0Md8bdnnXS0EC7AvQuwAONzPDD93zMMTcrY3Myzsjs/PPQRx9NNzB3w6VC2XgDwAAEdO/99+CHL/745JdPfgEEoJ+AOq5Uvq+L/sr49JBRT011J4cUGjajpqvu//+p29/YkPW6s0VMdkbBSu3cJpy4Ge0sKvEG5CZIwQo+jh0XZJwGE+c4dqjjG9dDSPYAsAAUxOOEKEyhClfIwha68IUsRAE+6OEOeAggHbN4U9Jqkq1/aQVYSdnTa/929CdCsY41AGwEI5bIxCY68YlNTOIRXTeoP3UiNtJaG+0KpK3bjSV3umCFPBJgvjKa8YznE0ABBAAAdXTDLyNkQD3mSMc62vGOeMyjHveYRxDs4x8hcEcB0lEKHcJPc/IDompSQz+lGDAUrEvE/6BIyUpakhH/Q5bWCDioHR1wYmybVLYaiDu5DcMr8ziABCDAyla68pWwjKUsZ0lLVhoAAx8gAQPa+EbsaW8BfAymMIcZTFz+4x8d4EAB1FFIXbmHaZybhCQkEYhqVhMO2MwmHOTATW62oQ3dlMM32/CH/qHukkuMhDrXyc52qhOdmAygJsdWqGcdcFrVCsoCGUj/kwR9sSxekccBiEnQgu4RH3/sAD0G4EY4/tKgEI1oHfXBj2OaoIYEwKEzWeG2Xr0CF95Qh0hHStKSmtSk3pAFIrx2SXe69KUwZWclA8i/KlqRNrbJpydq15UlxS2gA5WoUIVpD3oc8wQkYGgvEzJCYA71qXy8gDv6cVR91MOGGg3jM30Yi0V8AwAAKMAaB0DWspr1rGgl6/rawDUoxtSdj4irXOcq17fKFIqomycVN/HIUPgHlEKRFHBkUZO4vUKMQYWqYuvojmP+wx0QUKpDSbjYytLRHhxw7AcwMEeszsJS79EKJX6JAXdEoJa0lEAEbgiGJ9pVnXJFhGxnS9va/842rq+NxBPzWtNO9hWBFAssFw9UWNwdVqCWXSwGqPoPeowgArycrFOTC9UZOnYf+aCjZ3kYWl8xQnv0CIEHrCrReGQ0Dkx86Vxna832uve98H2vIOY7iPra177VlAQiFhFPr5HOdYC6Yn/8M6QEBuVaHfUiLo6bWOpKNB90OOY+QFAP6DbUl5R18FD96Fh6UFi7NyyFe2LEuaAg4hsDQMcx6WEPiULgvDB9hG1lqwlU2PjGOM6xjne841T42MeoYAUqUuEJSETxa6wj1G/xaeADi7KLrEjQghGrYYki9Jj8yG6Fo4vh6VbZoMY8JgfuYUesijhzXJVPUL4rAIoek/+8EH1xOuIA1xnLFg6aeAcA5sHnPvv5z4AOtKD7LAABzAMA8viFHI7sX6xx0p6v+Ws+BTvK2zH4ywa9gFH/YQI4W3ipInwopgvq5n/0gwQXuKOZe7i5znliEt4YQAQy+499pDrOMI6rnWfLBz6A4RIAcMAChk3sYhv72MhO9rAZ4AB0OOAAAPAGnXXLaLCxhlCQjh0jg8ub4RK2n7rgBZVHTczGHhPVdPy0dMk9THu4wwRVvXWZb7iI7gJFKEaBtazzUVF/wLmgco7DrnvNB0AYHBC/noccMT0CfXyguSAggLTvysTVDbCKAg4SkUKJLSizghe2QC67i8lcFtdR3V3/HnlUSeCPquoRq/VOs6vzHWs50nofZDaonMUw414f/OcJX3iV8cGBlv9DBIKceDurzbWtfeITB0tEKabemlKc5kg6IS5NXhHyBqv8jiB4+D8+8OF0c5mpov76He9B67Fz9uU3JEWaPVfgQdS8Hhg4wT/Gi+t08Fy2BP+5wf3Qh8KL4RIK/zIG/nhUdzBAANJGRF0p3l9ECAINeEgDHja/+V7nQQ95CH0eDGEIPTTC21uXhcjVbsd7bJofbz/52UOdYdbTEQSbrnXZ8wjzzdE9aoK4ez1ujg+dZ1QMBRf8wf3A/OYfPvEOvgcJ9C7h7EZgAJGfrTujGIhgyOP77/i+//jHT/7vtyMUoJiUtmCheq/bvu3/NvuF0V572+eD8c0tPh9hDjDTLDIUwTcAC5cP1Bd/wiRnWKB8gNB8zZcGaYAGWIB4QmdZ9+dYGuAOOXd93vB3t/UIFLcIcZAOAHAAB/AAz0aCKJiCKagA89AJp6d+XsF+q2d79eAORscBeYRy9OdlaocBEfYP/jBmwoRVlOA0+KYa+BGAQkdrH6B/xISAB9cHzCeFDogGVngGWBiB0FdZ7lZREoYB8qaBWNBrtuWB68QIIJgOBKAP4WWAeXQA86AJjbBTMAgK40aDebdiOXdHOkh7PDhyUkV9Fyhv+3dDRahm9DEkw+IaSkhHBP94TO4AcBmFBQzoBw9ohWhwBmqwiZuohRMIVflAD0anARzghHMkhgZHhrXFTpAQggSwaftginoEh5wwh93mE1nnCnfIemF3TGSnR314EE3FevZAAiWAZW4Id+lwiJ1zFKKAI50QCMI3RyRwTHSgZcOEgA2IiZnIid7oiYtlDw6nWfpAiKeIfQl4cKooW7gVCa2YDgigDxrwZsJEi4sgFAXiCl1Hg653VLGHR8FoEMP4dUR3Xf84hIYYC0eoiDjyJ9IogHUEYWJGUHKmBW9whVjojd7IBmwAjtXFAcdoah6Wg9gnBn0geHxQhu9YAMMnYbKIR3DYCfeIj0iijzOocpj/dUz+xkcBWRADOXIVKGG7N0xYNQm/94yu0QmE8pCfaG7X+IST2I0ayYkcWZUeKVQWsHiORQflCIzo2HwomZKzxQiuaAH5MI//kIx1BIeHsAhNdiQUc5MjZ27/wAHmyIezJ4xpR275IHb5B1FFuZCLSDWE0oh1hA9iRw9QmQ5aMJVUWZVVqQUSOFTSB29AOGE8iY5pAJaCV1uumGrEx0ds6ZbcRoc9EZfuR276YJn08JJ4OX9+OHL6QH11uYcFFZj0YR/4gT+DgjWGyVhHhY18VJEbCZnG6QZuoAWjsIUQFZT/cIEtlpneoAWYuJmEp45iiQhioIYVUA8g4IWRuEdw/7gJjAAgQ+ETpeAJcjlq/OaLQ5mDeSmQe1llFjBVjSdUgRlEojBEvTk2cDCNdHQPiZmNGdWYm2ickImcyKmczElQgXhdwrlHGmigVmidfoCS2smdcxSaszgP5Mlk5xkL6bmeX3Zl/3ACBwmM8emT8xl9bbdZQ1WUzrifSUkoSPSfEHlH5gZ7B1igCFqVChqkDPqJw4R7jmUCpUhME+qNaOCAnAkIKbmdBNCd3il24fmGHsoICCRcI5qaVVZUx9QPavmaoKaX9edg1lV9T4VVfcCQ/DkoY8M1OEqk9QCmzRWde1SRCBqkfOoGU7CcdMpH4+iLYEhQS8qJWFihnMkHWP+goRvqi645R2zJCH4FogfWpSpXjWJmAUq6ogTxkw7mnCO5pjckCYr4GkYUp3IKoBMFbyaQonekpxzZpwo6Tm3wpw3KRyAAksdUAqNqqNinBWwwlYrKfFDaqFNKR4h5bh1qCIjwGvg0FJjKbvrAXByAp8LUk5/aopUVZrWpWFglCfbxpqTjNXLAqpe1afRwl3akp7TqBrb6TWswpMSkldaoD9iqpMFalRp5Bk3afIzqqNQIqVjqrNBqnkExrezphbFYUNo6EKBqWaU2iIuFVYJAo1STP5uARG3FCOeao3iEAR7AabBaR3I2BX0ar9/kBSxLr8GEDySAlr4aocA6ncb/qZFWOIXISqVz1Iv/QAIFywcGlFMUkwiaQKLJZaJP6bCeCrHc+lTuZpkaMKaAeUODQK4cq0RL9LGBWqfqapuxmlEoi5wqy7Jm27KAWky5dwLukK8Oi30oi6A4mwZ9IKU8O0fm9ot3BIeGwAd8dbAJZLRIW1n9SLIQ9bACEbFQxXYj+w90ULL4eUOCgKpwqqpaywhzukcYMI87qUcnW6vyerai+wRpq0f3YJ9f+FQaGLc3O7d2a0c+C7R7Ow+J4Ld/q3FFe7Reall0eaVMC5tm+odDlaa1RrNQZUPqEAj3U7ld00SRkLl6ZKc457lia6uiy7JrsAZdsL1PYAe56oi5/9cPQqi6cBukcruJZ2AGO6ujWPaecJgIj6Bk/YFPkKC7mLaaK+a2w4S45KC4QiWqkUqqyUuYG2u56fW86GpHj5iW1JsOU9AG2Xu92zvBXfAFSeC9dCpVXuh2nApV1xcMY6ugrbuJaaAFAqusjIeDdgSHkuc6Q5sa9Tu4UIUBDBvAwcS//htRPuhY16phyBsISnkwWXvAkcC1wQSLYEtHJ7sGEkzBFfwFX7AEe5CruGd0QfieQvXBIWy+/ErCJpysd6QP7bvC84AIfUBPtxsK07IIhyDDw8t4SxtROPy0YPaDJTC+DvbDoSDEitC86bRObZDACoyWyShnS3C22kvBUP8cBowcBlLcoPbquPrQwYulxePEpzdbwiesrGInu3QEh3ngB47WSdAKCW28u1C7aWI6VHN8phBlAfIYpu7ArpWFVWzQnyzFCOsUV4EMsnqkaRKWxPVgyCzrxIvcyI38yEJ3umjZXMZLviC8BpeMyVWpyWAcxlgmnKDsB42ANfKrxqbsxhJFl54sUa0svAQlfY3LD1QLrjd0y47mx7oMW4jQy10bkT/ou0qcUYdszF+AzMiszHPknNDpYB/8BF4gzd9EzRypBl98t3XEYXW5lmXMzY2AxhkXzqgsVMuVv6rbtIlLx8JUuGP3zMn1w/HcsfMcCTJWz4J8RzeXxIY8wf//DNDIzAVcwARTLEfusMH7ALkePADBgNDYO80izJEPrUf60HL9gI1wyAeB0HSK8M2McMrU1ZdC6cEg3b8irav4h5nk9sNZq7W7PFttEAy+vEcgkM9hmw5L8MQ2zcg4jdNZIMUCRQ+Wecc2HNTBcMhmq9B9itSbXEcCOpGSOg9QbW0uHApVLc4FZaI8qtXAK5+uPEwAPHLIKwgGvNKRQFtggNb3bEdMCLaGfMwAPddckAWqLcUFQAIiQKj6a1kf/NaIDNhHndRKfUwa8HYsHNVdg9GMnQiOTUzAzGnt3KmTzaKVXUw/+LPCXGWZLUkqTc+89tlprdad3K78HNdzrdre/13XO51ZHIDF1LVafb29TPzXCy3CuJ1H95DCh40IgdBfF+3CjCDcG21Q5EzLh7vVObxH7iCI+hzWkivPZQ14CAfaBJW3uydnTHDT3f3d3s0EYwAACoAAJugAGr7hHN7hHv7hIL7hCpAAff0FE4zI642cUzDYdlStz8lZcPgIgrBE1tZJ5TTcwtTRd1pZ55zObcfOrIe8cGDgusVrBmfdoQ272b3P6fDgck3XEp4FW7AFUZAEX8AO75DlWr7lXN7lXv7lX94Oe6AFUHzi6t0GCrri1+ze8B3jg1BxXIPGiIDfi4XVtbbXBtXjRZp7MBrkAqAOctCx7ERbBwcGv3DdfP/klGXn4GGA2lFO5VEQ6ZGeAzjgA0zgA5ie6Zq+6ZyOA57+6Z6+BDlgBKRO6ktw6qjOBY1s4uh95irO4i0ObxqQDwswD4/w5jQu1WSDCFZdXYyXZcml58EkquRN4IB+uQeOCMmX4IiO3YY9zBnFBBHu3ZAu6ZEuBdguBVCw7dyOBEfw7eAO7kjA7dye7VJg7ZE+5RI+5aoO0KzeBSiO5moO0Xm0aRxwAPJw69TWX9eGCIaA47+8aZ0r2/7d1XO0w3pIg1f154F+wC0tW8uH5AYlxs+pZQ6e2uuO7tee7dse7h7/8R+/7eZ+7ui+BVE+1+5Oweq9BvMuTEsNSA8gD3z/MAjv1F+O5u8An0fkbNAFv9wTRX390LYKv/CAzl8r/fDJx3yG3uwHJXYqLGdCkPHWPvJQAPJWf/UeDwUjT/LpfvLtjszvrt5q3m5G9QEx7wc0v+/WhvP5HUyxvOPl3fPoPEdSxVzsTMk0iLxt8MdFjuALqPQKPvHBCe3p4APUju7mXvVYv/iMfwRan+0lL+EoD/ZmntArPgDKdmwkcAUH4ADzkAaCcIa5ftFsP1QSeecaJuxrV3SEOvQgpg57f/SztXyWGAaHnuR4ZKI4aF6Fr9rVvvHa3vjhrgTET/zCD+6Pz/Vd/9047e6sfrZTEAyDFmjiNw/v4AehX/M2/wj//972egTZQP3Ryb2ty22kaur6ncXwsu/3zPeAWHD7EeXir2oAGWX4iI/tin/1xb///A8QSgQOJHjE4EGESKQslBLFYZQsESNyoRjGosUuGdd48dLFzR07IUWOJDnyECJEjyKtZMSo0ctGjwzJO1DP5k2cOXXe4/Dvnwd9OoUOJZozAgB13cgtZdqUXDZvABYIzbfP5z96+Ipu5dpVKDwB6uQwWvkIJUpAaf2kQYMGy68BDLzqtGf1H4d4BdL5eBiFIRSEgY8QJFzYcGHBB6Ew7LtFYhaKXC5izMixoxjMmLmA4QymTZc2bbzAgePGtKCzKlm6fPnoEM25Ot1dJRHb9v/No0md7oYqVScGOj79cbh327htsGJXRjKLko/atWjUvI17vB4Gf/80YECQ7sbDv4kHHyaYxPz5JOQLJl68sPHjyJO/ZOxieU1o06bZ7Gejxj+aNPzwIy0+zkJkuZZgcg024zAowSd6irPOq9yU2q2p3qa6yR59NPCpH3fsmXDEopKTY7mzngNEQD+kmw4uuY6zhx6f9iHAG74YkiIx8pJAAgn0ghTyRyAPY4+xh+Cr6KL5KuPovjbyc4M///4LcEBACkRJtZZY6+O1mm7LJ7h/9tGKRK4qvBDDqDSsxx4SHvyHn6DQtDMnE8s6K60V16qSuhiPw0ADEegJAMfwBDP/TMgeekiiUUgjfdTR84pE7MiGkpQoPibpsyy0KPWjsko0BORTyz8QTLAPPRiMDR+7+Mnnzq3UXHOpDG3i6aoPMKD113ryZG5P6Fx8USoIIlB2WWabbRaeCOhxhwECvFsIMEULCzJSbrvlFj3DxEMyCsc2laxTJ72AMj/++iP1SgLPUtWlPvJw1at7aPynnzqBFcrWW3PFR98yQfCX1jybQ0RFAdv6M5UEIpZ4YoorpniABBrw5oUdsyUIyPMgBWJkkks2uWRJz7s0sHEhMle+Jj8NVdT9qlSjVCyz3FLVRuq9tysSaDt4KIDX7I0BEOzCyuCh7cwzRT6js3kNPbxJ/+dqrLPWemus1blaHTSS8HigkEU++Wy0SU45vfUCa++hcic616Im6+MIP3ZHvTnAU+VdrWd7w/RKn34glLBpnIq+EKoB3LHLgwgRdzqsE6FWiy2b2fBCiyU6X4IJJjxnwgcfmBDidNRvUP0GIV5w/QUkeCyv7B7Stj3tRsElTLBxlZy7bvvwnlJvAE3VeedIuvRZcK7G9OkDpiXHDSkLA/ZGABJC2JcEEaUnMTkwFIauxcz3kzK0jTrK6IvJKJJoC/CkwBYhwtBr9Hb8b8/dx91Zds8hJU0mDJ56kvD0trecaelAq1meV2DlkxP4ynvT082tnhIVBuiDH+6wgAUm8P9BEIZQhCMkYQlN+EEKpFCFK1yhBcBnOQFhzj/tOl/61PcF9lnEfRLpy0LGpoSy4W8HQxziD3jAgx8QcQf42x/bBsK7TAHwZegK3swO2BbjASI1qxlEq5hHlBn5xAT9mmA9FMebqBBAAQJQgAIQ8EY4xlGOc6RjHe14Rzq6MQHeAAMMpTZD/uQnNJahTw51yIXHxG9+B5ndpG63gyNGUpKT5MESbdfE/inmf+QKIN0I6AUDXjGLWuISIyQRuK7Mxie1KSMFq7emcnxjHe9oRy1teUtc5lKXu+RlL31Zy3WMwg/OiZoM1UBD06DvSetrHyJ56BCGBKZ+jkzbDn5gREr/ZlOS17wkpZDQNoO8zSFxW5Inu2DDUNbMSsZTIIIkgYefCYVwEOpeK81IPQsypRvR4Gc0kvFPgCpDGcdARkF3cdBd8EKhu5hFQx36CVJEVKKmoGhEJyEJSQwCo5IIBGnk8FGQyiEOceBMZkyqMBWtyJiBFKRoOFLI9iUSPIscD9moeTZt8kAHO+VpT7WJO0plMpxRdJnc0GU3dVnxgPBKi9+S98545sR5ZTqTPe9ZwXw2pRzlwIY2tLENbnDjGtewRlmzcdZnPAMa0FhGMdwqDLgOQ67DwEVddaGLW7CCFbawhSxi8ddYeEKwoACFKEQRilB0YhOJUEQiXgKJluiJ/5hqcRgg2VBDQnbBkGHYYRbgB035SdOmZjOZNSnZU9SmVgeUtOTJ9ifUI2ySnHMLA/CSKqV2kWqUKCFL8gYBzy/m5IH/oMOsrGqTM+aTq139aljJWlZrnDUbaV1rW98qDGLMla521YVe99pXwAZ2sIVFbCcUy1iYRHYlBmKYMY9pvmS2wYbMvIgzI/LZa4lWIOa538lMG8kc8NQFA4ZBgQ184AG7IMA52GZrUUYpJ7ptk52kDFKFNzx3IbBvKFkOVIO7IX1pgIxWTa4Fl+tVsIoVutKdrlrZ6tZiwDW7c60rLu7qXb769a+wGC95E7uJxSoivb1FKXRWylI3DPKlmv81ZGc/65eOMdKmjzobJCPZUwIfWMtaTjBPJelgtQX1iQgRZ9wgM7dP3ge36rxZqTackpX8Nqr1sAAJPOATdxw3cfjMqlaxwdwUPze60qXuMqwbY+zSmLvd1WtfdSxeTxAWFIooL5AbO2TJLqxYxkJmkuer2Wa+b6b0m11/TSZJAW9Z1at2gZcjCeaRvXbMQ40ihWNWQKVmuC18ayry5PzheswTK/XUc4nXNI4TN1fFZiW0Wg0NYxkr2sZ4xbEsHi3YSIOCE4j9MWMd24guZZph5LPsZeObPpgeUqZ+oemUa3cybOp0py5Ydb1Z3erVHvEHrpW1QBAi2ynW9tagzLX/rnl9vAX+mir8qFH09HzVV2YV2X9GsVgF3WxnHzracq3xXfPaaGsDFtuE3TZigYzel6g3En+YbAw5Dd/4Znaz9s1C/PQLxJuSzMry1gG97f3zLeM7kvt2rcr8TeZab0o+6UqnrnEWLw5HQuE5SZpPivvwPWO1z1uleHPHumK0uvjZ153xdqf98Rxfe7yHNXmQMb0Slmu6T2k4Q5WQ7Oklg7q+ogbtzfnr3yvPG+iDR/BOv8xv88x6qHBT+lELmDc2YxFLClTJ1EH8oRE/3NgX4npXtwHWrzO7xdW1LlwTzXHu4hi8Ox45J9geCkt/O9zJI1afjPVecyfZperrQqjv/wvaRZb63ToPvA4If/zCG76SRXeiEpCe9DNP5pNN123Otmh5m6jyH3nGetYjrtw/ex70Fw87W8cu47J3/ON7DTnrB+v6Sm/i0uBWLyNq3zC7I1nJN/R9zYFPapwzNZKJN8FDPgN0teV7sObzH00xKnMKHsjTtd2CM+wTNnq4gO7zvj5jiuUSP4sDu9EbO0QjhvSzq/VzNMDisbWLv/mbPfG5nJfLPd2TufqiuVGTsv3KOSDYuQI0QOQbsHxLwDBLPMUrs4CzLTWDvHdhJ5RIFcvLB4ajqgzUwA0kh2QLNPKbLtKDNuwqQRs7wfaLBRWUNLY7rxZUr+ZIqT/CvZb6tP8ms68nCy0cDJnSCjyf80EfbDV9A7N+e74GLKcBYrpcq5IzYCot4jBC8CKbGK6rm0JXqkIr7DosBEGx07jTQ70vrLZHG8PCOizzCjLZQ8PJUqkYbMO8e0O+k8M5pLJTOyKewkNYFLoj4kMiPLrFk6Iz+x1BVMIqMUR5SUTYCKN/MAEJckTk4rMNvELngq5B00Lz48KyMztqA7lNXDtPNMO3iwQ/qiw2PLclw6G9eyZ206+/a0V5u0NYPMAgpMVaRLoGjL4HvJuCqz4+OQtGAMaa0D7uM8Zj1LqsUsZlE71KhEbtUr9GW72/ar0yxMaU6y1tbDm2KEVv5L9wjIgbNIj/UqtDV0THdPxBHWAwIVSbdtQkxnPA2hLEQVynemxCYFyAQaEnfnzEKlTG0BPILSQ7abuxg3w0SNO2hZS/b6M/FIFIbtS/3aMvHUpFVawpOiwZO+zIWAxC5lO82MqU2aIiXONFDYO6P+gieXCAD2i4mJTJZKS4z/tASrzJGCPBnGS07+JJhSyvQwDKt3tBUpTIGfzGmLLIvgNA/hq+HbwyjoTK49PDWTSZ3KHKxRinI0yXdaGZJdywrmwVsJyTYhzLzduNEzvLmmxGsYOxtfRCnXzL8IrLH6PLhsw0PukD9zJKGlQ3voQycmRF4jtHwoRF5eNDR1FM6CsnJEynyORK/688ABCgh8zjx8x0is0cP2YktOoCzS7MyRNEyJ40LBYMSodMw9U8MpiTr1OsyDiMMozcLwEEgsC7zaiMJMTczSKEPshgklt7TAwLzuPpSkCQBwBQAALAI/7sT/+8IwJIAH80Ma6qhq9izrR8MbITzemsxsGyzm6bP3BbDu2EwfyTQe/kvb30rIusKSASQB40PvTMw3VUQHBaTFx8T7qJT+BUSah7BBj1BnZgh3VYhxm90Rn9JR3d0R1dh28wh5ksUHAABwRtRme0RLbExGkkTfeLNAg1Q+yk0FFcw7s7yozY0DgMvhwEUVfcqREl0VdTwAgjScacCPh0EvkknhXZMP/VkAMxGKmRCg05aAM4kAPSCAQ8DYSNkoRJmARToARAJQVTkCiHKlSFWiiFKqiCOgZG/SdlAChncIZ+6oZxgESuowZf6AVqQEsj/cwFlU7Vc1AnLUNQTC8plbsVKUqYS7LXTMrfgyYtDUCNfMUvPcAwHcIxvUVOMtMVRdMWbbMEQh5IWIRFgAlKCwVO4ARJIyzBCi9ZsIVa8C5cyIUaGwb0gyu3MrRsgIZnyAboeq5r0AZu2Iau+jNkg0QOLAdwoAYO4ABqsIaalC5DgwZhcAZoZNBQTUFrrDRvM1XJUkNVxdBW5Sy+G8dVBMzA5LlatdXDxNX2tMrGEzhfTUlgZdP/1WCNRmisTegExDIsZvUEWAAsa7MF77oFXahWuSJBbM3WZeDWbj2rb72Gcd0GbQi/ckDXpdgqTN2ADTgHaohXtJIGYYiGtfpUJW1Qfc22Jy3VlDtVgMVLVtVL8OzQ0ZpVL13Y48tNMX3YMlVRibWbNI08N3vRizXWRNjYjhWFjw3ZvxrZkj3ZuporlRUGGJvXtJKumJ3Zmv2zm8XZctAGaiABnnUHYNiGi1uGZigDS0gGK7iCc0iGEcTXnUxawlrafm3af42agD2fgYVDqt1SqxVRrB08rXVYWzwCI+TVr81KyPyPsT2eUsJYjeXYUPBYUBAsto0Ft9Urk0XZYZjb/7pt2buF2bIaK721WZy1QnA4B57lWW6AV7DbBSvoByuwhCtIBntFP1CdXPerXFK93AnNXMqCWiuduYJdyqotGSuj1dEFutKNNTFzPk2CWNXFoYnVSiyy2ORJkJeY3bRdW5F91rf1XeBlWZfF2+KV2c/bW2zoW3QtB2pwh+bdAF/42RWzhmaYBnSgA34ggl0wWmlE2ibtRH6V0Oyc0s0VpM4931gtx9pk3/a1txI1XfnVVXI6U7D9VTRYU7LdX9k9W9q1XdwNYJLlXbjFBbklhpUtBrt9WW9N4OPl2+QNB3adYBJ4VxBshiv4B0uQhmYAYYPkXjEcOcs1YactJvLNrP/em1pY9cucW9+rjeF6M8yQ7EMyLSqvtd8cptgdDlY482GzRdvaVVtsy93dZYXejduUVWK6NeDhfWJ4VWCa5VsHhsSdneANmAYsNitrkN4MKINdaGTtPdp8HeEyjlLxJcULxSwNZWODHU/yBMwQlWN7o2MHS8z2fMffYVE+PjhSKtv+BeL/LWQiHmBF/l1GDt4DJt5IjuKtwlkqFlxMJtzmzGBLsIRp+GJoS1JpdMscK833I1XUFMphQVXWjMHcy9B0I9hXlU2/LE9s6kFa5rJ8I7oh5E1dxmHWnU8XhV1gZiwgC2JCHuK2FWAjJuBkdmQnztsFpmScpYZpaFdyIAH/EuiFdtXkFXOGabCCXmiGQwvNtizlhAxnuRxnUUQLC13lmJNazrIvm3NjLt3IeVa1Gb7n00Vd+oXHk0SqsDU4P47dlwBoQRYFZSXmgi5iVrgrhG5khUbgZm7oBq7kDQyHXqhgYCABDgAGTNVUsOuGXTiGZ3wrbu44b6ZO0+yEuTRhIru/iFTpvKRIV/U/dz5YWRbMmabnW7XpGr7Fq4zHpOrln/5nRQjoji1qgtZdg07qI05ipmZi4V1oKKbZvX1mnB0HalhXrKYGzWbGZlyrsB7BkBbjnoS/xDov7HRIGGpryzJFuGZnDoWyFtbBeO65uzYwOp7Km/6fvt5pmQFs//3tkqAe7KE2bJAtZr1S6mNOaMd+bKc2Xsl2aJwVh78NXHe1hoD0TLXcOFJm0u51vWt0u9Rcr5ZrEbxUphtqsnVbSqakzZGZ5dpuNZDUzZHUVVvbRfzNInv857PdBG4j6tttVpHlK+9CbiRO2SU2tGVIK8h+aq+Cbr8F3My2bkHD7s/W7hDWRMol4U9EOXJ+SLlrmPJWZyarSLlW7/R1yi4dTORzHeRTvpAEAgjL5RT1TfvGMAm0Pt7SbyDrb+J2VgFHZAKX2wM3NAVv7rB67gau1OSd7gjnVOes8Eu8cGrM8FNuyLVGVSrtThHXu5ZWytlE2IRNtR9MgRRQARZgAf8VIDxZtGf4rcW9RtGi4hTelketVANfjLr9hYlE2G8e/29PIOIiNtnFNnCmbmIW+9Yjb/AkT14rhPDqdvLyE8FRlnL2c1AyLOFQvHJEQGO3Nm+47qwSj232TljbLEwVIIIaSIEruAIyb/UyVwEyf4EDUz42b/NcxenepK3pW7MMK0QmRIRU+Zug5vOO/dg/P+pAD3JCV+ZHhmSZHVdFLwclf3DqfldID0EkldxKT9pII23FQk0XZGvyLd8aTO9221KEDVEVX7UUYAE6sAQbKIMykIEaQPUaqAEZWIF6t4E0hwFbXk8398Nd1enf5PUlnLwm5JlgFuTaNXbjBvJB/93/IV9mZn52JJdqS3V0awdabC+96FRSbw5DFex2cT7D3rI/lFblcmupznXpvlzFUQeC2c4yoEsBIugHDSACeSeCE6CDnj8BIrACOqCDMlCBG4DvvG5zcKrKfMZKgjP4/5hAoF542kVWhz/qAVd2iS904WUxZ0/0yWb0Rq92cLj2QpP0SyRrkR7t14s9Kx/KD/cTt47aVobN184vAPxQMEc12ga6F3B3VrdeobcCfrACdKjed6eDIngBFz+b+JWwnM5jAkrC1o16HP9j/m0EoQ5iZf1vQ05sAi9wa534R2ZGi29wyl5yjS97jqcuKBfNafxmkVvBtuNwlYu7caO7ud9y/1QURx/KexeuzXNc9wN7gSKgg8C/AsMnAjogAkuo3sO3Ahm4gZqmYQnTZV30VagHVoRHnszfc8JueABu2x9XbN8d/UJfq9JHdGiv2dSn9swu+4DEuNdvSzBUu2wrOdgD7w4HiEeIBgIC5OcgGjUK2TB049BNmzZeJnbp8iUMxjBcuGTpGOWjFClQjpAkqeRkkiQ9egBp6RLIDx4ydehwAeMmzpwwXtiwlIGIpStW0BGhQwSdFSt0LJWJcUMmjx0vW65MmeSkkpIkoUj5GKVjlo0Zw3ypONFLxIcMGSpUgybNwYJ8BiKKZJcRo0Z6EyXatKlTqFCiQIHyZDgW4liybP/ZYuVYly5ckodRHibscrHMy6BBe/YsG2hroq9d48ZtmzZt2MqVI+f6NezYssmVo0aCAzVwpq+JtgYatGdoy5ZlLnaZWGXJuCDfcszKlixZiQ17IswpcKhOmxIpSqS3EV67AgfyKYiwrZq1DyGuoVjxYkaOHbd4Dan1CFYlKVdObQmVB0016aTTC2RYUQOCLBChIAs1sPACEQe6oINM/QFR1VVY3ReSV0gwgUVYXGT0RVlnrZGWQ2uh95YfBQEyFyKP3IXXd939hd1ghR2W2GKNsXILZMpVRsxlwhS3WWe/ZdMbaaelphprs0k5W223UVPNbr0pGZxwxR2XnHKQOQf/nXSIUUcYKIoEpt0m3X0XXiTjIVKeQX6gkdBC6jkU0VnvjbURWPSBNFJJ+emnEkv9/RegCzYNeFMKKbwQqQopVFrpCzdE+gJUUvVXlaFacdVVFE+QQQQTQjwxVlldmIiiGyoqdCdcLtIlYyQ07mUjYILlaBgsiSnGmGNARjYZZUQaeSRnn/3GpGmopbZaa1Na61qVuOnGDW+ibfkMZ8Rl9iWYy+kyJnTCGoamKGv6xd2bjNgVCV10HpQGnunpCZFE7pEYn3xZCBpFSISahJVVifa3w6IB6vAoDI7eZNOEE1L4n4UYZpjVhqSWSgZTRBQhxBRYkGjWRCeuJ6tbaLQo/9etM37HnV+9ivKrJ8EiFh10xR6L7DDKHomks0tC66Q21VB77bXZ5pallsCB2+W4wiBXrpiOMVammeuC0q673HkHHpxy2otvvvtG1J6/f4IlMEj23Yfwfgq3lMMNeet9wwt9+/034IHvPfjeOBhuBA5GKL744ks88fjjWqRgxT8lWGIFGVMwoYWrZ8EaK1uzxgVzjDPmpRevNnOioyfC9ugckEImK7RmnCUZ2tHSUlst01KOY5u2u3Xrm9TheknuMGHq0txz6SYGi9c3h+2mXmXX66KdaTf0UBtse1FRF38GPHDBc9O9kt1B0LB+CzO4/z788csvfwvr23+//UHor///EP333wQAnSBAJ1CBCTa4wj8SeIIy1GAMnEtZG1YWOoXA5WUvGoi8cqWrRvAqMDdbHXV49LrHKAcXQ6JdMYimJCaVBmlL692UfmclcGyDW8PbkvGqZjWsLc8xi+FaLKBXHcKAjU18ide8rmcefLVlX/xiG/jgg5GAZcErBJOC+eimkru9wApX+CIYwyjGMZKxjGY8oxktkcA1mgApYnDV51h2hgqSDhEZxMvpOFgzD4qCE9TRmWJGyIqfmTBZRWLW7XBnjSZtQ3dRgqHvgJebGnKrN8TLxtSoZpwdYo15zQPimTghCjV1Qjvwqp71CGIeP6QBPU7sXp/8FJ+3kQ//i1k8FKKA4IMIJaWXvvwlMIMpzGESc5gIXOM/6MDAiqhMLRN0y0FeBqO6yGwvfbmRYEAILBES60eEHBJmNKNCRS6yNI1UzQshKRsZaouSw7tkJsW1SWJcLXmS6aHWnNe16oiyiNsZG9nuqMR7uVJt/fLCGmQ5RSrWRyT3wY8W0VepSFG0oha9KEYzatHABU4IHv2oD0KagiKo8R/9EMocNjcRWK2FDSsa3QVLp8E88sUvONJmzrjpnCABjZ7hTOFmPPOs0TByWulUJ2zYOUmoees3tpPncepZwnPlMzrPC2URGSGJrSIioEkkzyqZmKft7emg75GiRmjZUIMdTIu5/8wBXOMq17nSta50BcIOdmCVvSLhoSKBAmC/0hEsCKEM/0BHGYhQBSE8EKEsfSaLpBmzmdbIL4fAzupYx00fGUt2QSNScYDamaKxMFpGfSRSYSMOSdKwhqSJGnDCBVVOUkZ5Y7IqYoQ4RLBJgghfLIMjJOHVONEFe9lrokG9p9ApqjVubG0rSupmoelSd7ros0qo7jMqr2zhbUuoAUqF8CGEei6CznTprFjkIhjhSoM1uqbqCLPNnY2wsz39qWiFqkhG6m41qV0naxtpQ0v+ZmrDOR49eXhbrunWOoEphG//YYlKCBeP4lGiQcQ6Vu7B0j0WEV9zr/hciLoVfdU9cf/GNGYojmklJB57GxewMIcxkAx8nXOseUE3QfXWEVd4fK9NPYim+Q7LR978GTiXJdrRDrWcLsSGf/+bVNZqw503LN6Bq5bg2t4Tn1tjsNeuE4pNyKEMdOiFHMYGJ3oNFF9nQC4b1rO2lIFvLBphaNwcekslIGGvJkZxda+bEiQgIbsd81h3wbIRLGCBLK3yXhxZxuOYUtO9u+pLrwQj3x3trJuD/CZlDilOJje5hf1FrZTJoVRwVFl4sOVSlufJQ09u7apD/Foo5EC5yzmiq2SbF5vnhD0Nt1TOB02oRaS4kfFZsXwPXbGf0We3QEu7B3tdMYtLsl2vvC1ErELZSnP/rGP0uoWOBZmspRtBs1LykXWA5BlneVrIUP90OKQ22mhMi85yjCPVr1FqNars2itj0sCzlWqXaa3PBuNaElawRFCCi8QLq7JO+dIXWdkTyw8DLMQifiiJ87NXRFW75Ca/9opBfgQXcxfGIhoR+F6V45auqFZ1nNePUYfp+P6RR4yJdwmTrGSikTZ3p/X3vyUZ8Fa/tqlYnq0wymUudIESq6H4BCkw8Qnq/Zriwq5TGt481jhzWLkVsTOgAtVQue0ZJYQeed3qZm24vx3bIHcxol1u50dD8LETnCNMJ4vH09EMm33E6bu39hhQB03UKWzWCntjGheiOtUAT407CVw8/00WCeH3ZN7PwewJTXBClKEoxSdS3yY1r/kPYF3lnQpKdn4d+6wgVnuz9QxybEcX7nDnvYZUzvKWK1osGDnZjdEibpqn1+aU9vEGbWR4xG/WZ0GfXb3Hie9F6htKvPP35VtdSdhiMoebpO1UFV51WBSiEKbPjl+4vmazhfXir+zw95Z7Z4+7eMTQBX50AaChPdSoeEwUJFrxfRu4ncjySZrLSBZd4BxNSd9NuZtOWZ9n+VRo2Zt+bZ+pndb3WZ7SYd7kaV5saZKsKZgPkcnzZAIZuEMvtN8nwN92KEK8ZJCcfB0rxd7YGZvZcVzHvU3usd3uCaARBp/wcYgVIWCIvP/c8cVc30kQZDnfNLVX9MEXZm1a6/ickclbZTSekj1eIuFbk1Be5UkZwDWSgHEDM4hGGxaYgRWDMRhDVH1hmNxCK+QhCyZGJpwCB2wACfhCJbSfIYyZItggKs0L/S2R/d3fD6LV/vFfwfjfsx3hSaicqGwb8RWfE5IFFIabFJJbuQUeBkngzHSQkFkgfRmZfc2bsgyd9lkSf03LGaKhJFEDLuaiLuIiMPSiL/4iMNKCMA4jMRKjKhzjMWJCHfTCBjQjB/jCHORBIWCC2EwccVXcvTQiWUXEQeUfEC5Utw1MnlEiJpajOa7c8G1iRywbq7TKWeCYFK7IA65XBJrOKe7/USr2XKexohcaUhhyYNGVkzmBINIl3W30AkImpEIuJEM2pEM+ZEKSARn8YTM2Iwn0QiWsnjUywkAhhNhh3OzRnolEEdqlHVhY0RX13zmupMoVoBJ+BBOuYydiBPhA2ufoWFucQWT1mAQSniLUTHxpFhfuFOM5nr3dW2k9WQiCn21UpFM+JVRGpVROJVVGJQlUAibIXwZd49dlGA+C5Ho80cb9C8BQkUegJN7pHkuWo0saIEx2GzuOSKskHzeGYs1ZECDQRaXlHAdhoa9ooev8nM8gWWUYZVAVDRkOJC0upb+FwzT4AmRGpmROJmVWpmVe5mT2AkVW5DPOQQ0ClIVx/yUiGJeGgWXZjaT+LVs4boE4puRfkeM5AlZaouQBdlsT7l1NytzMMR8FwVQVmiKQbUIF6uM+wg7jveLQ3BsZ6huU1WJj7iJ06iIwNgMw/mIxXucwIuMx1gEZOCUMFkIdYMK7IOJwcSWdgN1HttTscWPt6d+dmSXcoGVaTiJggRxgyeZ8umVtwqXxKSBd3iTLqIFORhNP2qPO4WMolJ4qBlLPLJ5ngeEGQl6TcZ9S9ltBUkk5QJkamkYbOl3BGc8c1mEn5WEr/JB09OEfPuMptN8mtAubHCLrbeUiRtNXmmZZdWMUQeJ72mZ80mZ+/uh80uZb2uayzSTydYFNNqADmv9bXtYjZe0KguaIUDJovB2nYUrofn2g912o72QoNpDg+HloHCKYHSbcgsWCCwYiJkwjYWCHEWmlQL0e2GljxnHjO9qYjqqmbbKmkMpnfvbpEvKoTBqpjb0jA4aiKO5kgT4pB/2k4eFMTq1ilT4oColhB8pi9x0Vl8IGa3yp+DXdJZWf+XWe1GXNJ5WJKmDCKkSPm8Yf9YSmaNrLDspenfLJxn1jWcLnfAAqr/apoDbhTD7hJyqfuI0begCeBf2mgTZqlGZWCA3lYGbglY5haVUZQW6qbHTqk2Teqxkcgnkec1CduoRZEb0oecLqIs4pethoWXmPN+LqQpkkj7Imn/b/6gHS668Cq50JK7iFm5JC1jzaykBY4QaJDT72Eets4T5OqrT+42FO6CzuG7ZiKJSBKajikHAcHLji0ycJS4P1k7t8pjUG22gaV42qp7Hh37uSZUnKa74KDL3i68tyYrA62ly+I7Eiqjw6H6UB2wb1ZbMuKLzJAgYCDYSK08NmaaY6J7Z6KeZpw4C92lOFFvLYk7kwj4mO67q8Xygcwnh+R9fFav3RaUiyp6Hm6L7mqq7ObL4Wac0e31y6KwMWK28KqKJOk0wxauFdlgc5K6dRKVFeH73BonIm5alNrJR0qqdaWbeCS6wVSZl2GdWJ3hBxrbneoCLq5Xlm47oWW8ri/6w3koiOio+esi2Rum3awq2NJd/chqV6yiOBLipfFh67/aXQCpK8uWKlEh3EMqemIu5rOK3ARW2owtrx0JbVhqvW4NY+sUuriiwqbaXmGtdxwVnG0Z67rm6ype57uu3a0izqpq7oFqqh1qXOtgWtwFST5m26AS02ZRNgXuCRCa5PES61Gt2+MSbwKq7Fkp+oPi7yThVVnarWWscoZcebgu38pWs2km1YYu/Z4unopq33VnB/ci/M2Zi7Eivd1q1OMqmyVtOBbgLfZhNOCUuRGSdhflb22Q5iHo217puFAm9sjIPwcquYTq0O1VPycmyt2Vrlgg0Nwijmet15qiuthv8k7ansu57VBGMwFO/r+K4u6LKn674u+j5gsuolwU4gUGbhghYZw96Xw2JpYi6t/tKwtlor8cKTt2qZ501dVQERw4kZDXLHuc7f9K5S9VqvEkMwzmpvsj1xFIvvkZKviaxB655vFjPp+ubt7EpfpiHslAKugz6o4+VXQDpZDDdnGu9vhm6rq+VwxlJtAJvpHBcwKFiuX2hk9GYuhjVw53puytqqoSJbjopuIXPvFK/uBuPYTY6bKNotCHNxT4KtJOMIpL6bILXiFyLnqN2vkyHNltLwlKyxgIGqG8vW8fKw8qgf5Rrw81Zj9EovhtVJH4/dH2PvLzexBIsuPMdzPAsncvKVr/lecYC2TAVtMbpFsl+acMIGJj8e5+42ywsT1Wmc2idfS0AAADs=" alt width=320 height=150></td>
</tr>
<tr>
<td>
<div align=center>
<strong>Figure
6. Successive AABBs for a spinning <br>
rod (as viewed from the side).</strong>
</div>
</td>
</tr>
</tbody>
</table>
<p class=MsoNormal>
So,
rather than use AABBs, why can’t we use boxes that are arbitrarily oriented
and minimize the empty space, or error, of the box approximation. This
technique is based on what are called oriented bounding boxes (OBBs)
and has been used for ray tracing and interference detection for quite
some time. This technique is not only more accurate, but also more robust
than the AABB technique, as we shall see. However, OBBs are lot more
difficult to implement, slower, and inappropriate for dynamic or procedural
models (an object that morphs, for instance). It’s important to note
that when we subdivide an object into more and more pieces, or volumes,
we’re actually creating a hierarchical tree of that starting volume.
</p>
<p class=MsoNormal>
Our
choice between AABBs and OBBs should be based upon the level of accuracy
that we need. For a fast-action 3D shooter, we’re probably better off
implementing AABB collision detection — we can spare a little accuracy
for the ease of implementation and speed. The source code that accompanies
this article is available from the Game Developer web site. It should
get you started with AABBs, as well as providing some examples of source
code from several collision detection packages that also implement OBBs.
Now that we have a basic idea of how everything works, let’s look at
the details of the implementation.
</p>
<p class=MsoNormal align=left>
<strong>Building
Trees</strong>
</p>
<p class=MsoNormal>
Creating
OBB trees from an arbitrary mesh is probably the most difficult part
of the algorithm, and it has to be tweaked and adjusted to suit the
engine or game type. Figure 7 shows the creation of successive OBBs
from a starting model. As we can see, we have to find the tightest box
(or volume, in the case of 3D) around a given model (or set of vertices).
</p>
<table border=0 cellspacing=0 cellpadding=3 width=75% align=center bgcolor=#ffffff>
<tbody>
<tr>
<td>
<div align=center>
<img src="data:image/gif;base64,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" alt width=409 height=150>
</div>
</td>
</tr>
<tr>
<td>
<div align=center>
<strong>Figure
7. Recursive build of an OBB and its tree.</strong>
</div>
</td>
</tr>
</tbody>
</table>
<p class=MsoNormal>
There
are several ways to precompute OBBs, and they all involve a lot of math.
The basic method is to calculate the mean of the distribution of vertices
as the center of the box and then calculate the covariance matrix. We
then use two of the three eigenvectors of the covariance matrix to align
the box with the geometry. We can also use a convex hull routine to
further speed up and optimize tree creation. You can find the complete
derivation in the Gottschalk, Lin, and Manocha paper cited in the “For
Further Info” section.
</p>
<p class=MsoNormal>
Building
AABB trees is much easier because we don’t have to find the minimum
bounding volume and its axis. We just have to decide where to split
the model and we get the box construction for free (because it’s a box
parallel with the coordinate axes and it contains all of the vertices
from one side of the separating plane).
</p>
<p class=MsoNormal>
So,
now that we have all of the boxes, we have to construct a tree. We could
use a top-down approach whereby we begin with the starting volume and
recursively subdivide it. Alternatively, we could use a bottom-up approach,
merging smaller volumes to get the largest volume. To subdivide the
largest volume into smaller ones, we should follow several suggested
rules. We split the volume along the longest axis of the box with a
plane (a plane orthogonal to one of its axes) and then partition the
polygons based upon which side of the partitioning axis they fall (Figure
7). If we can’t subdivide along the longest axis, we subdivide along
the second longest. We continue until we can’t split the volume any
more, and we’re left with a triangle or a planar polygon. Depending
on how much accuracy we really need (for instance, do we really need
to detect when a single triangle is collided?), we can stop subdividing
based on some arbitrary rule that we propose (the depth of a tree, the
number of triangles in a volume, and so on).
</p>
<p>
As
you can see, the building phase is quite complex and involves a considerable
amount of computation. You definitely can’t build your trees during
the run time — they must be computed ahead of time. Precomputing trees
eliminates the possibility of changing geometry during the run time.
Another drawback is that OBBs require a large amount of matrix computations.
We have to position them in space, and each subtree has to be multiplied
by a matrix.
</p>
</div>
<hr>
<a href=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php><img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="91" height="16"><rect fill-opacity="0"/></svg>' width=91 height=16 border=0 alt="Article Start" style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-38)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important"></a>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=1">
<img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="68" height="16"><rect fill-opacity="0"/></svg>' width=68 height=16 border=0 alt=Previous style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-39)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">
</a>
<strong>Page 2 of 3</strong>
<a href="https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php?page=3">
<img src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="44" height="16"><rect fill-opacity="0"/></svg>' width=44 height=16 border=0 alt=Next style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-40)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important">
</a>
<hr>
<div class=hide-phone>
<h3>Related Jobs</h3>
<div class=stories_item>
<div class=thumb><a href=https://jobs.gamasutra.com/job/senior-software-engineer-remote-austin-texas-35173><img src="data:application/octet-stream;base64,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" alt="Bitwise Alchemy" width=120></a></div>
<div class=title>
<strong>
Bitwise Alchemy —
Austin,
Texas,
United States
<br>
[07.22.21]
</strong>
<br>
<a href=https://jobs.gamasutra.com/job/senior-software-engineer-remote-austin-texas-35173>Senior Software Engineer (Remote)</a>
</div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://jobs.gamasutra.com/job/senior-gameplay-engineer-poznan-35064><img src=data:application/octet-stream;base64,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 alt="Robot Gentleman Sp. z o.o." width=120></a></div>
<div class=title>
<strong>
Robot Gentleman Sp. z o.o. —
Poznan,
Poland
<br>
[07.22.21]
</strong>
<br>
<a href=https://jobs.gamasutra.com/job/senior-gameplay-engineer-poznan-35064>Senior Gameplay Engineer</a>
</div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://jobs.gamasutra.com/job/ai-systems-designer-bellevue-washington-35171><img src="data:image/gif;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAYEBQYFBAYGBQYHBwYIChAKCgkJChQODwwQFxQYGBcUFhYaHSUfGhsjHBYWICwgIyYnKSopGR8tMC0oMCUoKSj/2wBDAQcHBwoIChMKChMoGhYaKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCj/wAARCACoAMgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3eiiiuY2CiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKSjNAC0U3cOMc5o3CgB1FJS0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUANd1jRndgqKMkk4AFfP3xH+N9xDNLaeF0WGNWKC7lXJf3CnoPrzXoPxu1q40jwh5dpxJdSiNj6IASfz4H418fX0k810sax72Y7QoGSSeMVcI31ZEmdkPin4quGnaTWZi5xjAx9cfzrn9U8d+JbliW1u/IPULKwH5V6z4e+AUk1lHLq+qeRcOoZoYYAwTPbcW5/Ktuf4AadPaeU2sXAcdHFsoI/Wq5ooVmfPaeM/Eke0x61fqV6FZiCKt23xG8X2xzF4gvz/vyb/8A0LNe2f8ADNdiRn/hIboZ7fZl/wDiqYf2bbIqQviK6DY4zbLj/wBCp80QszyJPit41UY/t+4P1RD/AOy1RPj/AMUyXv2mXxBqm4nJC3Lqv/fIOP0rf8e/DiHwx8QtF8NQahJcrqCwkzPEFKGSRk6AnOMZr0dP2crIRgy+Ibnd/s2o/wDiqLxQrM8em+IvilpWMeu6mq5yAbp+P1otvH/iprmInxDqQ28c3L7fx5r2dP2brBlJPiG6H/bsv/xVOX9mzTsc+Irs5/6dl/8AiqOaI7M8suviD4ps9hk1y9J+8AsxOfqc133gb47aw1yttqMcd0NpPzAgnHoc+lad3+zdFJbP9n8S3BlAJQS2wK598NXhPiDTdT8H+ILrSb8LFe2rDJRtw5GQQe4IIo92Qao+7/D2s2uu6ZDe2TEpIoJB6qfQ1p180/steLLubWr3QryRpIZIPOiLHO1lPI/EE/lX0tWUlZlp3CiiikMKKKKACiiigAooooAKKKKACmjOTmnU2gDyX9oiUJ4csF3bd8zjHHPy+9fNvh8rL410RUcFWv4AF9f3i17l+1i7DRNCVScefKTj/dWvn3wO2fG2gYHzf2hbkZPfzVrWOxnLc+8lj2kYVRgYrA8R+MvD3hm6ittc1OCynlTzESQHLLnGeB6g10hBNcx4p8A+G/Fl5DdeINNF5PCnlIxmkTC5zjCsB1JrJW6lmd/wtnwKeviSz/J/8KT/AIWz4F/6GOz/ACf/AAquPgr4APXw8n/gVP8A/F02f4IeAJYmQaF5ZI4dLqbI+mXIqvdFqeReO/EGk+J/j/4Mu9DvY721R7SJpEBwGE7HHI9CK+ntueoFfIOp+Dk+H/x38PabHO01k17a3NvJJjd5bSgYbHGQVYe+M19gr0py6WCJl3+uadYw3Jku4PNgUs0O8b8gdMdaqeG/EFtqmkW9zPNBDORiVC4XDDrwex6/jXNfFCyilutPa2hL38xKkIMllGMZHc+lY3hnRIbfxBFB4ktJow/+pEi4jZ/Qnof8eK5nOSlY+gpZfh54T2rb5nr0vpo7LseuIyyIrIwZW5BByDXx9+09CkPxUnZBgy2kLt7nBH8gK+wkQKoVQAoGAB2r5C/alGPiif8Arxh/m1dNPc+fmN/ZhYD4nW+Sc/Z5sf8AfNfYgr4z/ZpYj4qWgXjNvNk/8Br7KXpRU3COw4UtIKWoKCiiigAooooAKKKKACiiigApCM0tJQB4X+1ND/xItGcnI+0Ov4lR/ga+YEuJbS8iuLd9k8UgkR1/hYHIP519UftTxTP4T0poMcXeGBAIxtznJ5HTtXzL4QRT4y0NJwjRm/gDq4+UjzFyD7VtDYzlue/6B+0jYnT4113RboXqrh3tGUxufUBiCv05+taTftI+HF/5g+r/AJR//FV65HoGi5IOkabx/wBOyf4U/wD4R/ROh0jTv/AZP8KzvHsVZnl2gftA6BrOuafpcGk6pHNe3EdujuI9qs7BQThunNez1mxaDpEMqSw6VYRyIQyutugKkdCDjg1pUnboNHzd8Z0WT9ozwSj8qRZg/wDgS9fRkY+RemcV82fHEl/2gfCSxEGRYrUYz0Pnua+jLEkQRBsA7actkJbj/skP2r7QYwZ9u0OeSB6D0qWWGOVCkqK6HqrDINfLv7U2p6jZ+PdPjsb+7t4zpqMVhmZAT5knOAeteNf8JFrQlz/a+ojn/n5f/Gmqd0N1Hc/QrgDJ6V8VftEa3Y678TbybTJ0uILeGO2MqHKsyg7sHuATj8K5W51nUJ7Xy59RvZ0bhla5cqw9wTWJIgKhlUgH3zVxjZkOVz1H9mSMt8VbYjAC20xOf93H9a+xx0x1r46/ZiQN8VIM9rWU9PYV9jVFTcqOwopaKKgoKKKKACiiigAooooAKKKKACiiigDhPjTokmteBLz7LH5l1af6TGvrgHd/46T+VfEciOZGfdtYNkEetfotXg/j/wCBA1TV7nUPDVzaWSzHe1pIhCBu+0jpk5OOnpVwlbRkSVzz3w98evE1hZRQXlrZahMgCi4l3K7Af3sHBPvgVff9o7XNxDaJp2R6O/8AjXKa78H/ABvpRbfpH2iIf8tLV1cfzz+lZcfwq8byhWj8OXrK3Q/KM/rV2iK7PRP+Gltc/wCgFpn/AH3J/jTJv2lfEDRMIdF0tJCPlZjIwB+mRXFWPwh8cm7jMnhy58tXBfc8YBGeerc13OsfCa+kigNp4YlyDlhGUUnnocuPT6UrRC7PJZfFuqXvjSHxNqcv2zUUuEnO/wCVTsIwoA6DgDivWU+PniExZXw/ZsIuT80nH1rMj+EfiH+0YZLfw3cQIjAs7Spxj0G/1ravvh54uRZI7PQvOVxgmWRBz6/eptxYK55p8RvGV5461iDUtQtobSWG3FuEiJIIDM2ee/zVyZtnlmwgAJxx+Fewx/CDxXdZNxoyxt0/1q889eDWxb/BvWrePIsN8u5QSJF6D05FHMkKzPCmspo5TAww/wCYprWrxDZJ989BXvN/8HNenvhLa2yQgEAF3BwO+P8A9ddFoHwIMl6JvEF+WgBB2RY3t65PQUc6HynP/so+Hd+r6prkyNshhW3hYjHzMct+W3H419NVj6VDHpckel2GlfZrCIYSSLAjAxnkdc5+vfmtispO7uWlYKKKKQwooooAKKKKACiiigAooooAKKKKACq9/ObSxubgJ5hhjaQJuC7sDOMngdOpqxTXVXRldQysMEEZBFAHikfxpvIdOup9T0W3t7hIIriG3aWVCytOkTctGFYDfncpI4x7je1n4mXNv42uvDGm6day3YuoLa3uJ7kpCd8JlYuQpIIxgAZz7V2Nr4O8NWiXCWvh7SIUuE8uZUs4wJFznawxyM84pV8H+G1019PXQNJFi7iRrcWkewuOjFcYz71V0Tqec638ZLjRBHHe6Nb3Fx5M5kNhei4iWSORV5ZR8qYbJ3AMvTHSrtz8StUTxU2jQ6ZYzCKO2kkuYpLiWM+cu7KmOFhtHYttz19ceh2ug6RZwRw2mlWEEMcbRKkduihUbllAA6HuO9UpfBvhqSSJ28O6KzR4CsbGPKgdMHHGKLoLM4bwP8UtR8Sa1pFrLo0ENrqLXCiWOWXdD5Qbk741Rs7f4GbHfGMU+9+Jmrx+Kr/S7LQBdxWl+lm/lGVpSpAJk4jKAAHnLjpXpFrpGm2qWqWun2cKWpYwLHCqiEtncUwPlzk5x1zU1vZ2ttLPJb28MUk7b5WRApkbGMsR1OB1NK6HZnkesfGWWw8KeH9Xi0mCaTU7O5unhFwf3JiZQBnbzncfTpSy/GaRtSj0y30UR6jI1vatHdTmMW9zI7qySnacKuzIIzuDDjmvRY/BvhmNrho/DujqbkFZsWUf7wE5IbjkZANWb3w5ol89097o+nXD3Sqs7S2yMZQv3QxI+bHbPSndCszg1+J13Z+IbHR9V0qGe4lkuY5jpFx9tKmIIRhFG4Z38hgCMZrrfh34kbxd4QstakthatcNKvkhi23ZK6dSB125/GremeGND0v7N/Z2k2NsbYuYTFAqmMvjftIGRnAz9B6Vo2Fla6dapa6fbQWtshJWKCMIikkk4A45JJ+ppOw9SxRRRSGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/9k=" alt="Sucker Punch Productions" width=120></a></div>
<div class=title>
<strong>
Sucker Punch Productions —
Bellevue,
Washington,
United States
<br>
[07.21.21]
</strong>
<br>
<a href=https://jobs.gamasutra.com/job/ai-systems-designer-bellevue-washington-35171>AI Systems Designer</a>
</div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://jobs.gamasutra.com/job/senior-software-engineer-performance-tooling-redmond-washington-35125><img src="data:application/octet-stream;base64,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" alt="Xbox Graphics" width=120></a></div>
<div class=title>
<strong>
Xbox Graphics —
Redmond,
Washington,
United States
<br>
[07.21.21]
</strong>
<br>
<a href=https://jobs.gamasutra.com/job/senior-software-engineer-performance-tooling-redmond-washington-35125>Senior Software Engineer: Performance Tooling</a>
</div>
</div>
</div>
<br class=clear><br>
<div class="right small">
<strong>[<a href=https://jobs.gamasutra.com/>View All Jobs</a>]</strong>
</div>
<br class=clear><br>
<hr>
<div class=hide-phone>
<h3>Top Stories</h3>
<div class=stories_item>
<div class=thumb><a href=https://www.gamasutra.com/view/news/385510/A_taxonomy_of_Weenies_the_landmarks_that_define_Ghost_of_Tsushima.php><img src="data:image/jpeg;base64,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"></a></div>
<div class=title><a href=https://www.gamasutra.com/view/news/385510/A_taxonomy_of_Weenies_the_landmarks_that_define_Ghost_of_Tsushima.php><strong>A taxonomy of Weenies: the landmarks that define <i>Ghost of Tsushima</i></strong></a></div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://www.gamasutra.com/gdc2021><img src="data:image/jpeg;base64,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"></a></div>
<div class=title><a href=https://www.gamasutra.com/gdc2021><strong>GDC 2021: Find all our coverage here!</strong></a></div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://www.gamasutra.com/view/news/385512/California_sues_Activision_Blizzard_over_sexist_harmful_workplace_culture.php><img src="data:image/jpeg;base64,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"></a></div>
<div class=title><a href=https://www.gamasutra.com/view/news/385512/California_sues_Activision_Blizzard_over_sexist_harmful_workplace_culture.php><strong>California sues Activision Blizzard over sexist, harmful workplace culture</strong></a></div>
</div>
<div class=stories_item>
<div class=thumb><a href=https://www.gamasutra.com/view/news/385591/How_Naughty_Dog_prototyped_the_interactive_guitar_in_The_Last_of_Us_Part_II.php><img src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD//gA7Q1JFQVRPUjogZ2QtanBlZyB2MS4wICh1c2luZyBJSkcgSlBFRyB2NjIpLCBxdWFsaXR5ID0gOTAK/9sAQwADAgIDAgIDAwMDBAMDBAUIBQUEBAUKBwcGCAwKDAwLCgsLDQ4SEA0OEQ4LCxAWEBETFBUVFQwPFxgWFBgSFBUU/9sAQwEDBAQFBAUJBQUJFA0LDRQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQU/8AAEQgAbABsAwEiAAIRAQMRAf/EAB8AAAEFAQEBAQEBAAAAAAAAAAABAgMEBQYHCAkKC//EALUQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQygZGhCCNCscEVUtHwJDNicoIJChYXGBkaJSYnKCkqNDU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6g4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2drh4uPk5ebn6Onq8fLz9PX29/j5+v/EAB8BAAMBAQEBAQEBAQEAAAAAAAABAgMEBQYHCAkKC//EALURAAIBAgQEAwQHBQQEAAECdwABAgMRBAUhMQYSQVEHYXETIjKBCBRCkaGxwQkjM1LwFWJy0QoWJDThJfEXGBkaJicoKSo1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoKDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uLj5OXm5+jp6vLz9PX29/j5+v/aAAwDAQACEQMRAD8A/QXT5Yvsw6dK5/xS2nvpKi6ERtzKN3nY2j5u+eKbqU9xpOhXd7Dbz3slvC0i21uMySkDO1Qe5ryWO48S/ErSFttQ0qTw9ZSzDzRctulaPPKqhXj6n8K+WrVpfDFXZrotC18RX8DaOZGe40u0uZAwhUquC4Ufe2g46j654zXFeD/hf4t8V21291ptpYxzQH7PM6BRMCO6/eUEY4IB9a9I0T4YabJNaW97pUX2KyYm1hJy4YnmRyOpPGBk4H149u0XTjbTooXMYjAAAwFxWFKnOpK83939fiNx7nw/qX7PuueI7mKy1TSZorW3kJECxi3jG3qU2gA5HGR2PWuU0r4f6k+tJoENjPb3bwuYbYxlfLI+ZmLHooBz3ySMckV+h+t2ccl1EzA/LG2CO1eJ+GrLUta/aC1/VLFI9R8LRWI0sXUbKUguAFaVAeu7cUB+hHasJYFRtFyb1+bv/W5kqatqz4N1X4c2eheNZV1DR/s2vwXADM2STJ/Cw/vZyCD9K1Pjvrem+ANA05fLh1zxeodo49RMflQgDJdvMOBjHAPXB4OK+7f2itZ8A/CPw9J4y8T2en/a4UWCKeZFMzAZO1OCSeP/ANVfjP8AHb4x6x8SvFeqa1MRp8d6DHb2MPSK2J+VWOMkkck+pPTpW+HwVqrjJ81vwXa/+XT1NadJRvJ/Ir+N/wBonxL4rtbOC4mjQwMzExOck8DOR347GuY0XxtdwTyySXsjF8kxlcq315GPyNcQiBycj8M4q1DDtORx9DX0Do0+W1tDSnOcdUz3Lwb8ZbzTLqIXRkhWJhsukywUHj5sZIH8v0r3TUddtPGvwb1u5022E0lkY0vYkUfu4pPlSUAdtxwccZIr5F8GO8es2oR44mZtoaUkD9K+gvhDaXX9keNbK3uBaDVLGWEW7SFVYqpdVQYG7cw4HGMtXiYnCU42nBWtqdVao8RBqr02Z45b+H7rxLPDp2m6fNLOGKFBHgls/pjHU+tey3fwF+JV+lq41iyhVIEjEcd0ybQOzfLyfU14/d+NtS8OzsbV3s76Jgh8wEGMj1H4V3Ph/wCMvirXtOE51oQsjGIhIFwSADnk+9FeVdRUo2UV31PF1ex+3Wl2xe2RTgnvmszXNJFujTAfOSAB+NfHNz/wUjtdJ02ORdLgSSRAyFA9wjA553ZToVZSNuQVI4rlNV/4KYXeqOIn0qFbYc74oCHY+2ZMD8a63zONlFnX8z7hhcW9wJJCoZpOAT2xW14d+JvhfV1m+w63ZXrxSGKV7eYOqN02lhxkHtmvzb1P9uDXtePlaZbz2iOCBcXhHlofU7VH8zXmOrftXeOEDpFrk0jAEAuBsHXOExjH9PQ1jCFaL92Jbae5+vHi/wARQWNoHBaaaZGit4IcGSaQjhVzx75PAAJNfLdl8VNL/ZS8Oa3o5XUde1u6v2mE0kflWZmESFjvb+FTuztySBnjt8z/AAR/aNfxlcaxFrF3LoetRWizQalZ3csK7UYM0bDcQQF3FSeVyVzsO2uA+KP7R8943ibTPFmgLr3ia0Wazgnu5FVYhIjJ5xQJskYEo5IChwFICj5QpU61SScdGty4OnGV5q6PJP2m/wBobxJ8ePGM11qmqzXun27t9nhJ2xA9yq+npnt6c1w8djFqUwurlC4kUYRhwBj0rnbseddNhdgY5VTzx1FegaJYi52kLkAAAD6V6aiqUFFG0P3km2Vde8OafpNha3yxtDHKdpkRdyqfcelbXgzwvoHiO+ksrrzUvwNwj8zako9U2jn6V6HpFto8egsuospUuNqt2IHGP8+tR6J4Whtf7Q8TxwmcQMTFGvHmMeeCePrXO6t011Oz2CTuloaFl8BPDl5bhHgeN8fejZsj9eaz9N0GbQfipLpNnJLLa20ESsRjMW5AFZsfjk+9dZ8NfH+v+LNSktY/DU18zqHjWAhJIQQCPMVsALyPmzxnpUOj6LqvhGXX/EeuNHLrl3cuk8EXK223hYwfTj8gK86vUaThN6vS3qc+KqUoU7Q3ZwPxE+GUt74gkezzJcyY85XHDZwAR9MVS0z4Yz6NA8CiQ5cuSj4UkgdB+Fdx4Xk1XWfESX9ywlmu7qO0S3Bx95XbP0AU8121xd2unSGCcJFKvVJWCsPwNc069amlRbvY8G7SsfOt9rVnq0M4huoLsySmZH8nyJUf+JWTphgAflJGR7nNS1aSMiQKoKnJZhwKy/DV/Z6rqcEEWnqb5ZP3QMwQSf7Bz3PIHfn1xW1rY+y3zIEnggH3Y7lNkkfAJV+xIyORwQQR1r6dWT5Ts3Vxb3Vri4hjiMsjbT8o+6Ofaq88xG7ccyEbOucetVBfRi5zGQ+OvoO2KqNe5lY5y/Jx6t/gM/rV2QjTg1L+yIZmicxyT4QkHHXHH4CoPiVLqGrtba/crIUkUQicj5WUA456ev4VyWrXcmp6ilnAxZmO04PT1/w/Ou4+H2lSeIl1PRrkI1mjhHUqowwJO8v1GMcc1UY8uomzDl0uC+0OHUgP3jvsbHGCBXTeCpi915Y/1m04z+FZPw60WTXbfWtIWUl7Urcxlj8rc7CP1H5V1svg5fCVguo3l4LWVSFjUEMZH7KAPXHXsBntXJUkuZwe56tFe4p9DSt7afUI5dLupmtCJA0V0ykmE9t/BypBIz+de2eFrNls7Tw+0dveb0ChbZsrK5ySwJ9sZ7VkWfg/UvEPg3TfEcLWzxyRvGbiOFxLE6qSUYFQeMEfiCMgjPtX7H3wo1HU/BWu+Jtes55Gv7trfShN8skQViq+mwk7cfX3rx8RKUY35W2uiOuWJhTg5Q1O9+CXweghsLmLTZdPt7ybH2jyosNgdBngtjmuA1X4Vx2+reJhdo73f9oypPC/Qnau18f7uOlepf8ACSXHwftI/EZh+1mTNrHBKAkqSPwGJBIOADnINcl4M8XXXjzUvFsmpaa17Pe3sUkV3E6q8RaJV25A5+4p6Y5r511I16XNL3Zt6tXto0l369j5qcnVk5S3Z8ueLhN4L8e6XLDMsSR3KyRl+QxAK4K+mHIz15qxr/hK817VJtQlnW4e4O/cFwAOwH0Fd18SptFtr/WdA1lBFfRpi3eGMTSwSZDBnIOOoVsZB46c0yIaXrOjaNqVhfNpqXlmksttLbSnZLllkCkKQV3Ke/rXf7WVDl5bqSVm7fP/ADMmmkfAQu2t7kvExR0bcrL1BzxXoh8XSePdAjt79V/te2ISC9yAZOuEftzyAx6H0BJHlrykXMqnoGPPtWro959mmZXkMUMi4ZlXdjuDj619rUgn73VHZFlyS/mtGcSboWDHcjD5s9MH0+lUZ9Ze3fzgcPt2IPT/AD1roJNCttXzImqRyzMo2yKpK/RlOGB9+awb3wnqGmTCS8t2urVf+Wtsdyj9MqPqBThOEna+o3CSV+hufDuxQ3Ml5Pkyhcpn8q6i7sV0uW6mtmkgnu0KylG4YFT27H396b4M+zeIEtILebYWfZKGwHj75+n+fppTxmaPzpcYjWWQr/sqDj+VKcrOxKVznvh/qj+H/GkLL5hF0hjQI4Ubt2V3ZHK4zx713PjDW38Qa2byUj+z7EnyIRysknILH16H8F4615/cWgiuIm25kRVjUDqWBGAPrk11+n6VLrElrHOuy0UpGIwT8xyOSf8ADtn1qGouSn2NFUkoOmtmfan7CE7eLvFPiWOeUQacbKOW40mc+Z9qM0j7plH8Kggrzyd/piv0I/4Ri00/wjPa6bZLGq5nWGBQCz795I/2icn6mvy4/ZI8ZJ4I+O3hprhhHba1p9zayZbA2PiZM/RggHpk1+qPgbxDDruls8LiTypDGSPoCP0Irmi06jT67EfZSR5LrfgHSfiFc3lrr2jw2585LyGyeQq7Y3Att4O3IOccGua+HHw60+28W+O9PnsofLS+hkih2DAiaBCMDsM7h+Br0HxT4P07xF8YE1iK/vrW/wBOtUyqZMbkMcrg8AYwDjg89xXlev8AgfWIv2grTUbO51e206+QyXOoWcoUwttk2ocgjZ8i8EHP1ry1JUotKClaVr6a+ei7mXyPEvjB+zH4v1z4+7tP05j4WvvLu/tqYEVtEuBJGemGzkgdTuz2OMzwD4d1t9GvBbXssNsmpXqxKoXGPtEnTjpnNfbHxM8bv4b8L+daRJLeyssMZm4VSQSWIHXgdOOtfntdS6zpL+VY6pfLbM0kg+yXDCNiZG3EAHjLZrPEugpuLjzN2fpuS7Rex+dWoQvZ3bZ5G44b1FSRygYGfoRWzf2yXJkVxkEn8KwLq0ksJAc74z0NfS06imrPc6ZRtsdh4N8WDRbuKKa3tJYGOxppkO6MZ65B5A68g16DE1xf3NxJBJa3JRQ2bHKkL03GNsMPrjFeK2ThxgjBB5NetfCaSPxDf2On6i8CW4mWJJ5xhLdSeWZgCwXGeRnp06Vx4mhGScluaUqji9C5FYWskple1iErYzIg2M2DnkqQT681tQaZaXqMJIiAUZMK56EEH+Zr1vxz+yP438OWL634bS08e+FmzJHqPhq4F2Uj/wCmkQw6kd8AgeteVWGYw0bqY3U7SrDBB968fnqxdrs9JRhJXsiaPwppZkWRrV5CHEgDSNjcAQDgH3rpbRbVUhjNmiLFkqY2ZSCR1ySfX07VSgGYhkc1OHVcDn61LrVP5i3Sg94mXcfb9B8XaVrEEpays4Y4YZR8pRh/Cw7cKMHoefcD9Jv+Cfnje+8WeHfEhvpGkVZoHjLe6sD/AOgrX53lonWWOYF7eVdkijup6/j3HuBX2l+wZqMmgrqlpNdbVEUQWBRhcBmw4OO4IP411U6rnOLe6OGtTjTjp1PsDw9qh8Q+I/El5caPd6X9kkGnQy3QIF0kbMTIoPYk8EZ4xzWNqF19n8Q3+TiEW8Wz0zukz/SulvdWFwgVWOSOtcnrOnkh3yWJ65NVOXJpucKOG8c+IbZbGZ7tDOisGSILuLMORj+ea+bhpotJ7pIUR4muJZFA52b3LFfwLGvcvFls00c8D8qQeDXgM3hbW5ZXklujG0jM4UsRwSSOlefjPrLSdBaehhOck/dPzXnXLyfU1mammbWUdeMitqS1eSV9gJ+Y8496p6lYyC3kLAAbSeK9yErSR6MkYKWMscEcqZKgsWBwMYx75PWvVfBOp21vpyxRxbZjySOM+9cl4dtkutOjXeFO4cD3B9Ex/D61t2ujyW7mWKcKVxgu2ACPoororyXwsKGj5j13wb4pvfDeox30Fxd27QkH7bpcxtryE9iHXG7HXDfmK9X1m48P+Lbu0uPEd/8AbzqpzD4hit4YbtZQPmjuDtZXPP32DHvyOK8C0/XXt9OXUrKPeIfkvLbqQO7Y9KnXxCtnMwl/e6PekMGU8xv2z6Ec4PevLnTcmexFxa1NTxJrmm+DvFB0SfUWnXcymee28h4D/CJApZGBzw6Y4wcEGqWp+KrKyufLlvLaJyMqJJ0UEHoQSa86+IHiVdduLFIb9btbRHi818A43EhQSRx1Pp8xqXW9RlbR9EuFkTd9l2nE2CSjKAf9YOymupYOL5ZNWueZOu4ScY7HdQ+K7afaqXtk6/7N5Cc/+Pe1fTv7NvxS0rw8kk1/rumWb+VGiJJexBjtcr2bpt2n86+D3v3KkeYuEB63I6h/Tz/Q1YTUgfkzbEAug3vGcjqOshrT6nFapmE6rmrM/b3wT8ZvBuo20bSeLdDV8Dh9ShU/q1ddqHjbw1dpi31/S7g4ziG9icn8mr8HLSa3edRHFYTzSqqorrbkMT8vvjvSy6gm+YB7ZVGHGJIxwf8AdT3rN4Lm+0YaH7H+J9WsmvXKTRSr32uDXmN7rsT3DDyzhPlyB6GvzMi1oxLI8V88Ur4+VbqQKBwc5UD34qOXxXqGVxqNwTjkm7uTnt61pHDSirXM3C7vczftaRM4GPvHrWbqFz5yOAMgg81PdxKssmP7x/nUFvCs0gDcjNYrTU9KzehzukajdRXISOaQoBkIGOOKjutV1C+lZ3uZtueBvIAFehW2kWkMe9IVD9N2Oa85l/d3UqD7quQB+Nd9GrGrJtLY5qkHBJXNbw54k1LQ7ktHI0iMcyIzZ3Dv1rodW06TxFAJtE1Ty4s7zps8nltGx/ut0I+p4965GAAt6fSrKDY24Ehh3FaSjeXOtGQptLlexr6P4Q1Ka5U6rqo06yT5nb7TvYgf3QDjP1r0S10231/TIZbSRzZIWjijmGcAHH69fxry9iXh3FmJ+te0+GrSKx0uC2iXEaKDz1JPJJrixcpwSlfU3oKMnZoxf+ELlO0FkIbJPGMV6J8Gvg/o/jXxJNZ6zOTtgMsFtFOsD3Mg/wCWaE5JYgE4HPFZLH5CPer2nXKWF3bXZtbe6eC4jeNLhNyK3zYbGRyK8z29SWjkdU6MFFtI+1Phl+xh8E/H+gx6rb6bcXNk4O0jVZsx4+8rEMBwc1V8V/su/s1eG7g2j3CpqG3i3i1meV8D2VzxXyt+0L+0L478P+ENEttN1uWxGtQy/apICVbarbQqc4UYA7Z9CK+Z/DOv3entc6vuF1fRSqyyXWZMsSOTk8n6+ta0qNapTdRVGu2rPOaSdmfWnxg8N/Bbwnd2ljoUd1d6neXC20eb24MMY43s7bhkKmSQuTnAOM1yum/CrQNXjnu7PUNEkspJnMAuNVuYZEjzhVZSwOcdc98182+IPGWqeLL0319OPNMh2pCuxEBH3VA6D/6/rVSTW9Rl2hr+6wg2KBMwAAJ4Azx+FdsaNSMVzTdybpbI/9k="></a></div>
<div class=title><a href=https://www.gamasutra.com/view/news/385591/How_Naughty_Dog_prototyped_the_interactive_guitar_in_The_Last_of_Us_Part_II.php><strong>How Naughty Dog prototyped the interactive guitar in <i>The Last of Us Part II</i></strong></a></div>
</div>
</div>
<div id=dynamiccomments><a style=font-weight:bold;font-size:16px name=comments>Comments</a><br><div class=parentComment> <table id=comment265037 cellpadding=0 cellspacing=0 class=commentBox border=0> <tbody><tr> <td colspan=2> <hr noshade size=1 class=hr_comment> </td> </tr> <tr> <td style=background-color:#dcebdc;padding:5px;text-align:left>Li Donghui<br> </td> <td style=background-color:#dcebdc;padding:5px> <div class=date_comment><a href=#comment265037>22 Mar 2015 at 6:49 am PST </a> </div> </td> </table><table cellpadding=0 cellspacing=0 border=0 class=commentBox style=margin-bottom:0px;margin-top:2px> <tbody><tr> <td style=width:80px;text-align:center valign=top> <img style=padding-top:2px;padding-right:5px;padding-bottom:5px alt="profile image" src="data:image/jpeg;base64,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"> </td> <td valign=top style=text-align:left> <div id=comment265037_show class=single_comment>Hello,I can't find your source code........Could you please tell me how to get it? </div> </td> </tr> <tr> <td style=width:80px;text-align:center valign=top> </td> <td valign=top style=text-align:left> <div id=comment265037_replyLink><div id=no_reply_button><a href="https://www.gamasutra.com/sso/login.php?from=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php">Login to Reply or Like</a><div style=display:inline;float:right>1 <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAIAAAD9iXMrAAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAyJpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADw/eHBhY2tldCBiZWdpbj0i77u/IiBpZD0iVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkIj8+IDx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IkFkb2JlIFhNUCBDb3JlIDUuMC1jMDYwIDYxLjEzNDc3NywgMjAxMC8wMi8xMi0xNzozMjowMCAgICAgICAgIj4gPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4gPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIgeG1sbnM6eG1wPSJodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvIiB4bWxuczp4bXBNTT0iaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wL21tLyIgeG1sbnM6c3RSZWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC9zVHlwZS9SZXNvdXJjZVJlZiMiIHhtcDpDcmVhdG9yVG9vbD0iQWRvYmUgUGhvdG9zaG9wIENTNSBNYWNpbnRvc2giIHhtcE1NOkluc3RhbmNlSUQ9InhtcC5paWQ6MkY4MDRFRTJENDFDMTFFMEFEQzZFRUMwMTM2NTRCODYiIHhtcE1NOkRvY3VtZW50SUQ9InhtcC5kaWQ6MkY4MDRFRTNENDFDMTFFMEFEQzZFRUMwMTM2NTRCODYiPiA8eG1wTU06RGVyaXZlZEZyb20gc3RSZWY6aW5zdGFuY2VJRD0ieG1wLmlpZDoyRjgwNEVFMEQ0MUMxMUUwQURDNkVFQzAxMzY1NEI4NiIgc3RSZWY6ZG9jdW1lbnRJRD0ieG1wLmRpZDoyRjgwNEVFMUQ0MUMxMUUwQURDNkVFQzAxMzY1NEI4NiIvPiA8L3JkZjpEZXNjcmlwdGlvbj4gPC9yZGY6UkRGPiA8L3g6eG1wbWV0YT4gPD94cGFja2V0IGVuZD0iciI/PjCB79YAAAEmSURBVHjaYrSbzYAGmBiZ//3/iy7IgAH42IWXhd12V41jYWLFp85UxlWAQ8xNJUaIUwKnOqBhlrLebMwczz7de//jFRMjEyMDIxZ1NvL+6iImL7482HZr3u+/PxnAioCAWd6PQZJXUYhL4vvvL0A3xRnWSPMpszGzP3h/TVfC5sefL/8Z/v/485UB6N+H76////8/e7PN0093/2OAtVcmAdWwAM38/e8XyGRGFqCRyG74+ef79denbr+7gOa+/2huZWfhBFptJu0OZIPMg/jo778/vOyCyOqA/rj66viWm7Oh5v359xuI/v7/O/9sw5tvz/79//f3/x8gYmZi0ZOwUxDQhprXtD8SGGBAT3z++W7JhbYYgyokI3/dAbuPETN+sQKAAAMARvqLIaiNoYIAAAAASUVORK5CYII=" height=13 border=0 alt=likes></div></div> </div> <div id=comment265037_replyForm style=display:none> </div> </td> </tr> </table></div><div id=no_comment_form> <br> <span class=comment_login> <a href="https://www.gamasutra.com/sso/login.php?from=https://www.gamasutra.com/view/feature/131598/advanced_collision_detection_.php"> <img src="data:image/gif;base64,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" width=113 height=16 border=0 alt="Login to Comment"></a> </span> <br></div><br></div>
</div>
</div>
</div>
</div>
<br class=clear>
</div>
<div class="hide-phone center">
<div class="span-4 last">
<div id=div-gpt-ad-sky1 class=sf-hidden>
</div>
<div id=div-gpt-ad-Ltile1 class=sf-hidden>
</div>
</div>
</div>
<div id=div-gpt-ad-native class=sf-hidden>
</div>
<div id=div-gpt-ad-insight class=sf-hidden>
</div>
<div id=div-gpt-ad-video class=sf-hidden>
</div>
<br class=clear>
<style>@font-face{font-family:'FontAwesome';src:url(data:font/woff2;base64,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) format('woff2');font-weight:normal;font-style:normal}@-webkit-keyframes fa-spin{0%{-webkit-transform:rotate(0deg);transform:rotate(0deg)}100%{-webkit-transform:rotate(359deg);transform:rotate(359deg)}}@keyframes fa-spin{0%{-webkit-transform:rotate(0deg);transform:rotate(0deg)}100%{-webkit-transform:rotate(359deg);transform:rotate(359deg)}}</style>
<style>.footer-row{margin-left:-15px;margin-right:-15px}.footer-row:before,.footer-row:after{content:" ";display:table}.footer-row:after{clear:both}@media (max-width:767px){.footer-row{margin-left:-7.5px;margin-right:-7.5px}.footer-row:before,.footer-row:after{content:" ";display:table}.footer-row:after{clear:both}}.footer-row [class*='col-']{padding-left:15px;padding-right:15px}.col-md-2,.col-md-5,.col-md-6,.col-md-12{position:relative;min-height:1px}@media (min-width:992px){.col-md-2,.col-md-5,.col-md-6,.col-md-12{float:left}.col-md-2{width:16.66667%}.col-md-5{width:41.66667%}.col-md-6{width:45%}.col-md-12{width:100%}}.divisional-footer{margin:0 auto;padding-left:100px;padding-right:100px;overflow-x:unset;background-color:#454955}.divisional-footer .footer-row{margin:0 auto}@media only screen and (max-width:768px){.divisional-footer{padding-left:15px;padding-right:15px}}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container{text-align:center}}.divisional-footer .divisional-footer-container ul.list-inline{margin-left:-15px;margin-right:-15px;font-size:0;float:right}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container ul.list-inline{float:none}}.divisional-footer .divisional-footer-container ul.list-inline>li{display:inline-block;vertical-align:middle;font-size:1rem;margin-left:15px;margin-right:15px;padding:5px 0;word-break:break-word}.divisional-footer .divisional-footer-container ul.list-inline>li a{color:#fff;font-size:14px;text-decoration:none}.divisional-footer .divisional-footer-container ul.list-inline>li a:hover{text-decoration:underline}.divisional-footer .divisional-footer-container ul.list-inline.social-icon{margin-left:-12.5px;margin-right:-12.5px;float:none}.divisional-footer .divisional-footer-container ul.list-inline.social-icon>li{display:inline-block;vertical-align:middle;font-size:1rem;margin-left:12.5px;margin-right:12.5px}.divisional-footer .divisional-footer-container ul.list-inline.social-icon>li a{width:35px;display:flex;height:35px;background:#fff;border-radius:35px;align-items:center;justify-content:center;font-size:8px;color:#525a5d;text-decoration:none;cursor:pointer}.divisional-footer .divisional-footer-container ul.list-inline.social-icon>li a i{font-size:16px}.divisional-footer .divisional-footer-container .privacy-policy{font-size:14px;text-align:right}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .privacy-policy{text-align:center;padding:35px 10px}}.divisional-footer .divisional-footer-container .privacy-policy .col-md-12{padding-left:0px;padding-right:0px}.divisional-footer .divisional-footer-container .privacy-policy p{color:#fff;padding:0 0px 0 45%;font-size:14px}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .privacy-policy p{padding:0px}}.divisional-footer .divisional-footer-container .footer-icons{font-size:0;border-bottom:1px solid #fff}.divisional-footer .divisional-footer-container .footer-icons>*{float:none;display:inline-block;vertical-align:middle;font-size:1rem}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .footer-icons>*{display:block;padding-bottom:30px}}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .footer-icons{padding:0px}}@media screen and (min-width:993px) and (max-width:1400px){.divisional-footer .divisional-footer-container .footer-icons{padding:35px 20px;max-width:100%}}.divisional-footer .divisional-footer-container .heading{font-size:14px;text-transform:capitalize;color:#fff;padding:35px 0px 25px;font-weight:bold}.divisional-footer .divisional-footer-container .discover{padding-bottom:30px}.divisional-footer .divisional-footer-container .discover ul{padding:0}.divisional-footer .divisional-footer-container .discover ul li{vertical-align:top;width:43%}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .discover ul li{display:block;width:auto}}.divisional-footer .divisional-footer-container .discover ul li a{font-size:14px;color:#fff;text-decoration:none}.divisional-footer .divisional-footer-container .discover ul li a:hover{text-decoration:underline}.divisional-footer .divisional-footer-container .working{padding-bottom:30px}.divisional-footer .divisional-footer-container .working ul{padding:0;border-right:1px solid #fff;height:auto}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .working ul{border-right:0}}.divisional-footer .divisional-footer-container .working ul li{vertical-align:top;padding-right:0}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .working ul li{display:block;width:auto}}.divisional-footer .divisional-footer-container .brand-name{padding-bottom:30px}.divisional-footer .divisional-footer-container .brand-name>*{padding-left:20px}@media screen and (max-width:992px){.divisional-footer .divisional-footer-container .brand-name>*{padding-left:0}}.linkedin-white::before,.youtube-white::before,.twitter-white::before,.facebook-white::before,.instagram-white::before,.rss-feed-white::before{display:block;font-family:fontAwesome;font-style:normal;font-size:16px;text-align:center}.twitter-white::before{content:"\f099"}.facebook-white::before{content:"\f09a"}.rss-feed-white::before{content:"\f09e"}</style>
<div align=center>
<div id=div-gpt-ad-ribbon class=sf-hidden>
</div>
</div>
</div>
</div><div id=xRokYeIsHL style=display:none></div>
<style class=sf-hidden>@media (min-width:992px){.col-md-5.discover{width:47%}.divisional-footer .divisional-footer-container .col-md-2 ul{padding-right:28%}.col-md-5.brand-name{width:27%}.col-md-6.logo{width:48%}.col-md-12 p{padding-left:40%}}</style>
<footer id=#informa-footer>
<div class=divisional-footer style=max-width:none>
<div class=divisional-footer-container>
<div class=alternate>
<div class=footer-row style="border-bottom:1px solid #fff">
<div class="col-md-5 discover">
<div class=heading>Discover more from Informa Tech</div>
<ul class=list-inline>
<li><a href=https://www.gdconf.com/ title="Game Developers Conference" target=_blank>Game Developers Conference</a></li>
<li><a href=https://igf.com/ title="Independent Games Festival" target=_blank>Independent Games Festival</a></li>
<li><a href=https://jobs.gamasutra.com/ title="Gamasutra Jobs" target=_blank>Gamasutra Jobs</a></li>
<li><a href=https://www.gamechoiceawards.com/ title="Game Developers Choice Awards" target=_blank>Game Developers Choice Awards</a></li>
<li><a href=https://www.gdcvault.com/ title="GDC Vault" target=_blank>GDC Vault</a></li>
<li><a href=https://www.omdia.com/ title=Omdia target=_blank>Omdia</a></li>
<li><a href=https://www.gamecareerguide.com/ title="Game Career Guide" target=_blank>Game Career Guide</a></li>
</ul>
</div>
<div class="col-md-2 working">
<div class=heading>Working With Us</div>
<ul class=list-inline>
<li>
<a href=https://www.gamasutra.com/contactus>Contact us</a>
</li>
<li>
<a href=https://www.gamasutra.com/static2/howwework.html>About Us</a>
</li>
<li>
<a href=https://www.gamasutra.com/advertise>Advertise</a>
</li>
</ul>
</div>
<div class="col-md-5 brand-name">
<div class=heading>Follow gamasutra on Social </div>
<ul class="list-inline social-icon">
<li>
<a href=https://www.facebook.com/pages/Gamasutra/31610613408><i class="facebook-white trigger-sc-event" data-goal-id=715A59A2-A9FC-44E0-B4AF-8A960F2A5116></i></a>
</li>
<li>
<a href=https://twitter.com/gamasutra><i class="twitter-white trigger-sc-event" data-goal-id=715A59A2-A9FC-44E0-B4AF-8A960F2A5116></i></a>
</li>
<li>
<a href=https://www.gamasutra.com/static2/rssfeeds.html><i class="rss-feed-white trigger-sc-event" data-goal-id=715A59A2-A9FC-44E0-B4AF-8A960F2A5116></i></a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
<div class=divisional-footer>
<div class=divisional-footer-container>
<div class="footer-row footer-icons">
<div class="col-md-6 logo" style="padding:.5% 0px">
<img src="data:image/png;base64,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" alt="alt text of the logo">
</div>
<div class=col-md-6>
<ul class=list-inline>
<li>
<a href=https://tech.informa.com/ target=_blank>Home</a>
</li>
<li>
<a href=https://tech.informa.com/cookie-policy target=_blank>Cookies</a>
</li>
<li>
<a href=https://privacyportal-eu-cdn.onetrust.com/dsarwebform/c1f53e84-9f05-4169-a854-85052b63c50b/5f26b553-52cc-4973-a761-295d5634a6b6.html target=_blank>CCPA: Do not sell my personal info</a>
</li>
<li>
<a href=https://tech.informa.com/privacy-policy target=_blank>Privacy</a>
</li>
<li>
<a href=https://tech.informa.com/terms-and-conditions target=_blank>Terms</a>
</li>
</ul>
</div>
</div>
<div class="footer-row privacy-policy">
<div class=col-md-12>
<p class=copyright>Copyright © 2021 Informa PLC
Informa UK Limited is a company registered in England and Wales with company number 1072954
whose registered office is 5 Howick Place, London, SW1P 1WG.
</p>
</div>
</div>
</div>
</div>
</footer>
<iframe style=display:none id=checkAuthFrame height=100 frameborder=0 data-gtm-yt-inspected-31060254_48=true></iframe>
<noscript><a href="http://www.omniture.com" title="Web Analytics"><img
src="http://cmp.112.2o7.net/b/ss/cmpglobalvista/1/H.21--NS/0"
height="1" width="1" border="0" alt="" /></a></noscript>
<iframe scrolling=no frameborder=0 allowtransparency=true title="Twitter settings iframe" style=display:none data-gtm-yt-inspected-31060254_48=true></iframe><iframe name=oauth2relay513384107 id=oauth2relay513384107 tabindex=-1 aria-hidden=true style=width:1px;height:1px;position:absolute;top:-100px data-gtm-yt-inspected-31060254_48=true sandbox="allow-popups allow-top-navigation allow-top-navigation-by-user-activation" srcdoc='<!DOCTYPE html> <html><meta charset=utf-8><title></title><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=0">'></iframe><div id=HUABAN_WIDGETS><div class=HUABAN-f-button style=display:none>采集</div><style class=sf-hidden>#HUABAN_WIDGETS{font-family:"helvetica neue",arial,sans-serif;color:#444;font-size:14px}#HUABAN_WIDGETS *{box-sizing:content-box}#HUABAN_WIDGETS .HUABAN-f-button{position:absolute;z-index:9999999999998;box-shadow:0 0 0 2px rgba(255,255,255,.2);background:rgba(0,0,0,.3);color:white;cursor:pointer;padding:0 12px;height:30px;line-height:30px;border-radius:2px;font-size:14px}#HUABAN_WIDGETS .HUABAN-f-button:hover{background-color:#999;background-color:rgba(0,0,0,.5)}#HUABAN_WIDGETS .HUABAN-f-button:active{background-color:rgba(0,0,0,.6)}<!--</style></div><iframe id=rufous-sandbox scrolling=no frameborder=0 allowtransparency=true allowfullscreen style=position:absolute;visibility:hidden;display:none;width:0px;height:0px;padding:0px;border:0 title="Twitter analytics iframe" data-gtm-yt-inspected-31060254_48=true></iframe><div id=TWLightBoxOverlay style="background:none 0px 0px repeat scroll #000000;opacity:.9;position:fixed;top:0px;left:0px;width:100%;height:100%;z-index:1000;display:none"></div><div id=TWLightBoxPanel class=gamasutra style=width:780px;margin-left:-405px;margin-top:-250px;position:fixed;display:none;top:50%;left:50%;z-index:6000000></div>