File size: 121,956 Bytes
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
b862123
 
 
 
 
5353b52
b862123
5353b52
 
 
 
 
 
b862123
 
 
aa2fa98
 
 
5353b52
 
 
 
 
 
 
 
 
aa2fa98
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
20fb169
aa2fa98
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
 
5353b52
aa2fa98
 
 
5353b52
aa2fa98
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
5353b52
 
aa2fa98
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
5353b52
aa2fa98
 
 
 
 
5353b52
aa2fa98
 
 
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
20fb169
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
7ef4e5d
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
20fb169
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
02445d7
aa2fa98
 
02445d7
 
aa2fa98
 
 
02445d7
 
 
 
 
 
 
 
 
aa2fa98
 
d71e1c6
f2e9595
d71e1c6
f2e9595
d71e1c6
 
 
f2e9595
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
02445d7
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
f2e9595
d71e1c6
f2e9595
d71e1c6
f2e9595
d71e1c6
 
fe78116
 
 
 
 
b862123
754a296
fbc4f27
6f5a2d9
 
 
 
b862123
5353b52
b862123
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b862123
d66fa71
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
6f5a2d9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b862123
 
d66fa71
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d531da9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d66fa71
 
aa2fa98
 
d531da9
aa2fa98
 
 
b862123
aa2fa98
 
b862123
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
02445d7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
ad93154
b862123
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
02445d7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
20fb169
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
20fb169
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
aa2fa98
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>InferRoute Academic & Technical Documentation Hub</title>
    <!-- Outfit & Inter Fonts -->
    <link rel="preconnect" href="https://fonts.googleapis.com">
    <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin>
    <link href="https://fonts.googleapis.com/css2?family=Inter:wght@300;400;500;600;700&family=Outfit:wght@400;500;600;700;800&display=swap" rel="stylesheet">
    <!-- MathJax for rendering LaTeX formulas -->
    <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
    <!-- Mermaid JS for sequence diagrams -->
    <script src="https://cdn.jsdelivr.net/npm/mermaid/dist/mermaid.min.js"></script>
    <script>
        mermaid.initialize({
            startOnLoad: true,
            theme: 'default',
            themeVariables: {
                background: '#FFFFFF',
                primaryColor: '#6D28D9',
                primaryTextColor: '#0F172A',
                lineColor: '#475569',
                secondaryColor: '#047857',
                tertiaryColor: '#D97706'
            }
        });
    </script>
    
    <style>
        :root {
            --bg-color: #F8FAFC;
            --panel-bg: rgba(255, 255, 255, 0.9);
            --border-color: rgba(0, 0, 0, 0.08);
            --text-primary: #0F172A;
            --text-secondary: #475569;
            --accent-violet: #6D28D9;
            --accent-violet-glow: rgba(109, 40, 217, 0.08);
            --accent-emerald: #047857;
            --accent-emerald-glow: rgba(4, 120, 87, 0.08);
            --accent-amber: #F59E0B;
            --accent-rose: #B91C1C;
            --font-outfit: 'Outfit', sans-serif;
            --font-inter: 'Inter', sans-serif;
        }

        * {
            box-sizing: border-box;
            margin: 0;
            padding: 0;
        }

        body {
            background-color: var(--bg-color);
            color: var(--text-primary);
            font-family: var(--font-inter);
            overflow-x: hidden;
            line-height: 1.6;
        }

        /* ── Header ── */
        header {
            display: flex;
            justify-content: space-between;
            align-items: center;
            padding: 1.5rem 2rem;
            background: rgba(255, 255, 255, 0.85);
            backdrop-filter: blur(12px);
            border-bottom: 1px solid var(--border-color);
            position: sticky;
            top: 0;
            z-index: 100;
        }

        .logo-section {
            display: flex;
            align-items: center;
            gap: 0.75rem;
        }

        .logo-text {
            font-family: var(--font-outfit);
            font-size: 1.6rem;
            font-weight: 800;
            background: linear-gradient(135deg, #0F172A 30%, var(--accent-violet) 100%);
            -webkit-background-clip: text;
            -webkit-text-fill-color: transparent;
        }

        .badge {
            font-size: 0.75rem;
            font-weight: 600;
            padding: 0.25rem 0.75rem;
            border-radius: 9999px;
            background: var(--accent-violet-glow);
            border: 1px solid rgba(109, 40, 217, 0.2);
            color: var(--accent-violet);
            letter-spacing: 0.5px;
        }

        .actions {
            display: flex;
            gap: 1rem;
        }

        .btn {
            font-family: var(--font-inter);
            font-size: 0.85rem;
            font-weight: 500;
            padding: 0.5rem 1rem;
            border-radius: 8px;
            cursor: pointer;
            transition: all 0.3s;
            text-decoration: none;
            display: inline-flex;
            align-items: center;
            gap: 0.35rem;
        }

        .btn-outline {
            background: transparent;
            border: 1px solid var(--border-color);
            color: var(--text-primary);
        }

        .btn-outline:hover {
            background: rgba(0, 0, 0, 0.03);
            border-color: rgba(0, 0, 0, 0.2);
        }

        .btn-primary {
            background: var(--accent-violet);
            border: 1px solid var(--accent-violet);
            color: var(--text-primary);
            box-shadow: 0 4px 12px rgba(139, 92, 246, 0.25);
        }

        .btn-primary:hover {
            transform: translateY(-1px);
            box-shadow: 0 6px 16px rgba(139, 92, 246, 0.35);
        }

        /* ── Container ── */
        .container {
            max-width: 1200px;
            margin: 0 auto;
            padding: 2.5rem 1.5rem;
        }

        /* ── Hero ── */
        .hero {
            text-align: center;
            margin-bottom: 3.5rem;
        }

        .hero h1 {
            font-family: var(--font-outfit);
            font-size: 2.8rem;
            font-weight: 800;
            margin-bottom: 1rem;
            letter-spacing: -1px;
            line-height: 1.2;
            background: linear-gradient(to right, #0F172A, var(--accent-violet));
            -webkit-background-clip: text;
            -webkit-text-fill-color: transparent;
        }

        .hero p {
            font-size: 1.1rem;
            color: var(--text-secondary);
            max-width: 700px;
            margin: 0 auto;
        }

        /* ── Navigation Tabs ── */
        .tabs-nav {
            display: grid;
            grid-template-columns: repeat(5, 1fr);
            gap: 0.75rem;
            margin-bottom: 2.5rem;
            background: rgba(0, 0, 0, 0.02);
            border: 1px solid var(--border-color);
            padding: 0.5rem;
            border-radius: 12px;
        }

        .tab-btn {
            font-family: var(--font-outfit);
            background: transparent;
            border: none;
            color: var(--text-secondary);
            padding: 0.75rem;
            font-size: 0.95rem;
            font-weight: 600;
            border-radius: 8px;
            cursor: pointer;
            transition: all 0.3s;
            display: flex;
            justify-content: center;
            align-items: center;
            gap: 0.5rem;
        }

        .tab-btn:hover {
            color: var(--text-primary);
            background: rgba(0, 0, 0, 0.03);
        }

        .tab-btn.active {
            color: var(--text-primary);
            background: var(--accent-violet);
            box-shadow: 0 4px 12px rgba(139, 92, 246, 0.2);
        }

        /* ── Content Layout ── */
        .tab-content {
            display: none;
            animation: fadeIn 0.4s ease;
        }

        .tab-content.active {
            display: block;
        }

        @keyframes fadeIn {
            from { opacity: 0; transform: translateY(10px); }
            to { opacity: 1; transform: translateY(0); }
        }

        /* ── Glass Cards ── */
        .glass-card {
            background: var(--panel-bg);
            backdrop-filter: blur(12px);
            border: 1px solid var(--border-color);
            border-radius: 16px;
            padding: 2rem;
            margin-bottom: 2rem;
            box-shadow: 0 10px 30px rgba(0,0,0,0.05);
        }

        .glass-card h2 {
            font-family: var(--font-outfit);
            font-size: 1.8rem;
            font-weight: 700;
            margin-bottom: 1.25rem;
            display: flex;
            align-items: center;
            gap: 0.5rem;
            color: var(--text-primary);
        }

        .card-grid {
            display: grid;
            grid-template-columns: repeat(2, 1fr);
            gap: 1.5rem;
            margin-top: 1.5rem;
        }

        .sub-card {
            background: rgba(0, 0, 0, 0.02);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            padding: 1.5rem;
            transition: all 0.3s;
        }

        .sub-card:hover {
            border-color: rgba(109, 40, 217, 0.25);
            background: rgba(109, 40, 217, 0.01);
        }

        .sub-card h3 {
            font-family: var(--font-outfit);
            font-size: 1.2rem;
            font-weight: 600;
            margin-bottom: 0.75rem;
            color: var(--text-primary);
        }

        .formula-box {
            background: rgba(0, 0, 0, 0.02);
            border-radius: 8px;
            padding: 1rem;
            margin: 1rem 0;
            border: 1px solid var(--border-color);
            display: flex;
            justify-content: center;
            align-items: center;
        }

        /* ── Step Tracker Sequence ── */
        .lifecycle-container {
            display: flex;
            flex-direction: column;
            gap: 1rem;
            margin-top: 1.5rem;
        }

        .lifecycle-step {
            display: flex;
            gap: 1.5rem;
            padding: 1.25rem;
            background: rgba(0, 0, 0, 0.02);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            align-items: flex-start;
            position: relative;
            transition: all 0.3s;
        }

        .lifecycle-step:hover {
            transform: translateX(5px);
            background: rgba(109, 40, 217, 0.02);
            border-color: rgba(109, 40, 217, 0.15);
        }

        .step-num {
            background: var(--accent-violet-glow);
            border: 1px solid rgba(109, 40, 217, 0.3);
            color: var(--accent-violet);
            width: 32px;
            height: 32px;
            border-radius: 50%;
            display: flex;
            justify-content: center;
            align-items: center;
            font-weight: 700;
            font-family: var(--font-outfit);
            flex-shrink: 0;
        }

        .step-info h4 {
            font-family: var(--font-outfit);
            font-size: 1.1rem;
            color: var(--text-primary);
            margin-bottom: 0.25rem;
        }

        .step-info p {
            font-size: 0.9rem;
            color: var(--text-secondary);
        }

        /* ── Tables ── */
        table {
            width: 100%;
            border-collapse: collapse;
            margin-top: 1rem;
            font-size: 0.9rem;
        }

        th, td {
            padding: 0.85rem 1rem;
            text-align: left;
            border-bottom: 1px solid var(--border-color);
        }

        th {
            font-family: var(--font-outfit);
            font-weight: 600;
            color: var(--text-primary);
            background: rgba(0, 0, 0, 0.02);
        }

        tr:hover td {
            background: rgba(255, 255, 255, 0.01);
        }

        .highlight-emerald {
            color: var(--accent-emerald);
            font-weight: 600;
        }

        .highlight-violet {
            color: var(--accent-violet);
            font-weight: 600;
        }

        /* ── Live Cascade Simulator ── */
        .simulator-box {
            background: rgba(0, 0, 0, 0.01);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            padding: 1.5rem;
            margin-top: 1.5rem;
        }

        .sim-controls {
            display: grid;
            grid-template-columns: 2fr 1fr 1fr;
            gap: 1rem;
            margin-bottom: 1.5rem;
            align-items: center;
        }

        .sim-slider-container {
            display: flex;
            flex-direction: column;
            gap: 0.5rem;
        }

        .sim-slider-label {
            font-size: 0.85rem;
            color: var(--text-secondary);
            display: flex;
            justify-content: space-between;
        }

        input[type="range"] {
            -webkit-appearance: none;
            width: 100%;
            height: 6px;
            background: rgba(0, 0, 0, 0.08);
            border-radius: 3px;
            outline: none;
        }

        input[type="range"]::-webkit-slider-thumb {
            -webkit-appearance: none;
            width: 16px;
            height: 16px;
            background: var(--accent-violet);
            border-radius: 50%;
            cursor: pointer;
            box-shadow: 0 0 8px var(--accent-violet);
            transition: transform 0.2s;
        }

        input[type="range"]::-webkit-slider-thumb:hover {
            transform: scale(1.2);
        }

        select {
            background: rgba(0, 0, 0, 0.03);
            border: 1px solid var(--border-color);
            border-radius: 8px;
            color: var(--text-primary);
            padding: 0.6rem;
            outline: none;
            font-family: var(--font-inter);
            cursor: pointer;
        }

        /* Simulator Stepper Steps */
        .sim-steps-wrapper {
            position: relative;
            margin: 2rem 0;
            display: flex;
            flex-direction: column;
            gap: 1.5rem;
        }

        .sim-step-node {
            display: flex;
            gap: 1.25rem;
            padding: 1rem;
            border-radius: 10px;
            border: 1px dashed var(--border-color);
            background: rgba(0,0,0,0.01);
            align-items: center;
            opacity: 0.5;
            transition: all 0.4s;
        }

        .sim-step-node.active {
            opacity: 1;
            border-style: solid;
            border-color: var(--accent-violet);
            box-shadow: 0 0 15px rgba(109, 40, 217, 0.08);
            background: rgba(109, 40, 217, 0.01);
        }

        .sim-step-node.accepted {
            opacity: 1;
            border-style: solid;
            border-color: var(--accent-emerald);
            box-shadow: 0 0 15px rgba(4, 120, 87, 0.08);
            background: rgba(4, 120, 87, 0.01);
        }

        .sim-step-node.escalated {
            opacity: 0.75;
            border-style: solid;
            border-color: var(--accent-rose);
            background: rgba(220, 38, 38, 0.01);
        }

        .sim-icon {
            width: 36px;
            height: 36px;
            border-radius: 50%;
            display: flex;
            justify-content: center;
            align-items: center;
            background: rgba(0,0,0,0.03);
            font-size: 1.1rem;
        }

        .sim-step-node.active .sim-icon {
            background: var(--accent-violet-glow);
            color: var(--accent-violet);
            border: 1px solid var(--accent-violet);
            animation: pulse-violet-glow 1.5s infinite;
        }

        .sim-step-node.accepted .sim-icon {
            background: var(--accent-emerald-glow);
            color: var(--accent-emerald);
            border: 1px solid var(--accent-emerald);
        }

        .sim-step-node.escalated .sim-icon {
            background: rgba(239, 68, 68, 0.1);
            color: var(--accent-rose);
            border: 1px solid var(--accent-rose);
        }

        @keyframes pulse-violet-glow {
            0% { box-shadow: 0 0 0 0 rgba(139, 92, 246, 0.4); }
            70% { box-shadow: 0 0 0 6px rgba(139, 92, 246, 0); }
            100% { box-shadow: 0 0 0 0 rgba(139, 92, 246, 0); }
        }

        .node-details {
            flex-grow: 1;
        }

        .node-name {
            font-family: var(--font-outfit);
            font-weight: 700;
            font-size: 1rem;
            color: var(--text-primary);
            display: flex;
            justify-content: space-between;
        }

        .node-output {
            font-size: 0.85rem;
            color: var(--text-secondary);
            margin-top: 0.2rem;
            font-family: monospace;
        }

        .node-badge {
            font-size: 0.75rem;
            font-weight: 600;
            padding: 0.1rem 0.5rem;
            border-radius: 4px;
            background: rgba(0,0,0,0.03);
        }

        .sim-step-node.accepted .node-badge {
            background: var(--accent-emerald-glow);
            color: var(--accent-emerald);
        }

        .sim-step-node.escalated .node-badge {
            background: rgba(239, 68, 68, 0.1);
            color: var(--accent-rose);
        }

        .sim-console {
            background: rgba(0, 0, 0, 0.03);
            font-family: monospace;
            font-size: 0.85rem;
            padding: 1rem;
            border-radius: 8px;
            border: 1px solid var(--border-color);
            color: #0369A1;
            max-height: 120px;
            overflow-y: auto;
            margin-top: 1rem;
        }

        /* ── Paper summary details ── */
        details.paper-summary-details {
            margin-top: 1rem;
            padding-top: 0.75rem;
            border-top: 1px dashed var(--border-color);
        }
        details.paper-summary-details summary {
            font-family: var(--font-outfit);
            font-size: 0.85rem;
            font-weight: 600;
            color: var(--accent-violet);
            cursor: pointer;
            outline: none;
            user-select: none;
        }
        details.paper-summary-details[open] summary {
            margin-bottom: 0.75rem;
        }
        .paper-summary-content {
            font-size: 0.85rem;
            color: var(--text-secondary);
            line-height: 1.6;
        }
        .paper-summary-content h5 {
            font-family: var(--font-outfit);
            color: var(--text-primary);
            margin-top: 0.85rem;
            margin-bottom: 0.35rem;
            font-size: 0.9rem;
            font-weight: 700;
        }
        .paper-summary-content p {
            margin-bottom: 0.5rem;
        }
        .paper-summary-content code {
            background: rgba(0,0,0,0.03);
            padding: 0.1rem 0.3rem;
            border-radius: 4px;
            font-family: monospace;
            font-size: 0.8rem;
            color: var(--accent-violet);
        }
        .paper-summary-content pre {
            background: rgba(0,0,0,0.03);
            padding: 0.5rem;
            border-radius: 6px;
            font-family: monospace;
            font-size: 0.8rem;
            overflow-x: auto;
            margin: 0.5rem 0;
            border: 1px solid var(--border-color);
        }

        /* ── Playground Styles ── */
        .playground-grid {
            display: grid;
            grid-template-columns: 1.3fr 0.7fr;
            gap: 1.5rem;
            margin-top: 1.5rem;
        }
        .playground-main-panel {
            background: rgba(15, 23, 42, 0.95);
            border: 1px solid rgba(255, 255, 255, 0.1);
            border-radius: 16px;
            display: flex;
            flex-direction: column;
            height: 600px;
            overflow: hidden;
            box-shadow: 0 20px 40px rgba(0, 0, 0, 0.3);
            color: #E2E8F0;
        }
        .playground-header {
            padding: 1rem 1.5rem;
            border-bottom: 1px solid rgba(255, 255, 255, 0.1);
            display: flex;
            justify-content: space-between;
            align-items: center;
            background: rgba(30, 41, 59, 0.5);
        }
        .playground-controls {
            display: flex;
            gap: 0.75rem;
            align-items: center;
        }
        .playground-select {
            background: rgba(255, 255, 255, 0.05);
            border: 1px solid rgba(255, 255, 255, 0.1);
            color: #F8FAFC;
            padding: 0.4rem 0.75rem;
            border-radius: 8px;
            font-size: 0.8rem;
            outline: none;
            cursor: pointer;
        }
        .playground-select option {
            background: #0F172A;
            color: #F8FAFC;
        }
        .playground-chat-history {
            flex: 1;
            padding: 1.5rem;
            overflow-y: auto;
            display: flex;
            flex-direction: column;
            gap: 1rem;
            background: rgba(15, 23, 42, 0.5);
        }
        .playground-bubble {
            max-width: 80%;
            padding: 0.85rem 1.1rem;
            border-radius: 12px;
            font-size: 0.9rem;
            line-height: 1.5;
        }
        .playground-bubble.user {
            background: #6D28D9;
            color: #FFFFFF;
            align-self: flex-end;
            border-bottom-right-radius: 2px;
        }
        .playground-bubble.assistant {
            background: rgba(255, 255, 255, 0.05);
            border: 1px solid rgba(255, 255, 255, 0.08);
            color: #E2E8F0;
            align-self: flex-start;
            border-bottom-left-radius: 2px;
        }
        .playground-input-row {
            padding: 1rem 1.25rem;
            border-top: 1px solid rgba(255, 255, 255, 0.1);
            display: flex;
            gap: 0.75rem;
            background: rgba(30, 41, 59, 0.3);
        }
        .playground-textarea {
            flex: 1;
            background: rgba(255, 255, 255, 0.03);
            border: 1px solid rgba(255, 255, 255, 0.1);
            color: #F8FAFC;
            padding: 0.75rem;
            border-radius: 8px;
            font-size: 0.9rem;
            outline: none;
            resize: none;
            height: 44px;
        }
        .playground-send-btn {
            background: #6D28D9;
            color: white;
            border: none;
            padding: 0 1.25rem;
            border-radius: 8px;
            font-weight: 600;
            cursor: pointer;
            transition: all 0.3s;
        }
        .playground-send-btn:hover {
            background: #7C3AED;
            box-shadow: 0 0 10px rgba(124, 58, 237, 0.4);
        }
        .playground-sidebar {
            display: flex;
            flex-direction: column;
            gap: 1.25rem;
        }
        .playground-wallet {
            background: var(--panel-bg);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            padding: 1rem 1.25rem;
            display: flex;
            justify-content: space-between;
            align-items: center;
        }
        .playground-wallet-recharge {
            background: var(--accent-emerald-glow);
            border: 1px solid var(--accent-emerald);
            color: var(--accent-emerald);
            padding: 0.25rem 0.5rem;
            border-radius: 4px;
            font-size: 0.75rem;
            cursor: pointer;
            font-weight: 600;
        }
        .playground-metrics-grid {
            display: grid;
            grid-template-columns: repeat(2, 1fr);
            gap: 0.75rem;
        }
        .playground-metric-card {
            background: var(--panel-bg);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            padding: 1rem;
            display: flex;
            flex-direction: column;
            gap: 0.25rem;
        }
        .playground-metric-label {
            font-size: 0.75rem;
            color: var(--text-secondary);
            font-weight: 500;
        }
        .playground-metric-val {
            font-size: 1.3rem;
            font-weight: 700;
            color: var(--text-primary);
        }
        .playground-pipeline {
            background: var(--panel-bg);
            border: 1px solid var(--border-color);
            border-radius: 12px;
            padding: 1.25rem;
            flex: 1;
            display: flex;
            flex-direction: column;
            gap: 1rem;
        }
        .playground-pipeline-flow {
            display: flex;
            flex-direction: column;
            gap: 0.85rem;
            position: relative;
            padding-left: 1.25rem;
            border-left: 2px dashed var(--border-color);
            margin-left: 6px;
        }
        .playground-pipeline-step {
            font-size: 0.8rem;
            opacity: 0.4;
            transition: all 0.3s;
            position: relative;
        }
        .playground-pipeline-step::before {
            content: '';
            width: 8px;
            height: 8px;
            background: var(--text-secondary);
            border-radius: 50%;
            position: absolute;
            left: -19px;
            top: 5px;
        }
        .playground-pipeline-step.active {
            opacity: 1;
            color: var(--accent-violet);
            font-weight: 600;
        }
        .playground-pipeline-step.active::before {
            background: var(--accent-violet);
            box-shadow: 0 0 8px var(--accent-violet);
        }
        .playground-pipeline-step.success {
            opacity: 1;
            color: var(--accent-emerald);
        }
        .playground-pipeline-step.success::before {
            background: var(--accent-emerald);
        }

        /* ── PDF / Print Styles ── */
        @media print {
            body {
                background: #FFF;
                color: #000;
            }
            header, .tabs-nav, .actions, .simulator-box, .btn {
                display: none !important;
            }
            .container {
                max-width: 100%;
                padding: 0;
            }
            .tab-content {
                display: block !important;
                opacity: 1 !important;
                page-break-after: always;
            }
            .glass-card {
                background: none !important;
                border: none !important;
                box-shadow: none !important;
                padding: 0;
                margin-bottom: 3rem;
            }
            .glass-card h2, .sub-card h3, .step-info h4 {
                color: #000 !important;
            }
            .sub-card {
                background: none !important;
                border: 1px solid #DDD !important;
            }
            th {
                background: #EEE !important;
                color: #000 !important;
            }
            td {
                border-bottom: 1px solid #DDD !important;
            }
        }
    </style>
</head>
<body>

    <header>
        <div class="logo-section">
            <span class="logo-text">InferRoute</span>
            <span class="badge">Technical Docs</span>
        </div>
        <div class="actions">
            <a href="https://github.com/ypeng12/InferRoute" target="_blank" class="btn btn-outline">
                <span>🐙</span> GitHub
            </a>
            <button class="btn btn-outline" onclick="window.print()">
                <span>🖨️</span> Export PDF
            </button>
            <a href="/" class="btn btn-primary">
                <span></span> Playground
            </a>
        </div>
    </header>

    <div class="container">
        
        <!-- Hero Section -->
        <div class="hero">
            <h1>Academic Research & Mathematical Foundations</h1>
            <p>InferRoute is built upon robust theoretical frameworks for cost-performance trade-offs and multi-tier cascading inference.</p>
        </div>

        <!-- Navigation Tabs -->
        <div class="tabs-nav">
            <button class="tab-btn active" onclick="switchTab(event, 'foundations')">
                <span>🔍</span> Foundations
            </button>
            <button class="tab-btn" onclick="switchTab(event, 'architecture')">
                <span>🏗️</span> Architecture
            </button>
            <button class="tab-btn" onclick="switchTab(event, 'benchmarks')">
                <span>📊</span> Benchmarks
            </button>
            <button class="tab-btn" onclick="switchTab(event, 'self-healing')">
                <span>🛡️</span> Self-Healing
            </button>
            <button class="tab-btn" onclick="switchTab(event, 'playground')">
                <span>🎮</span> Playground Sandbox
            </button>
        </div>

        <!-- Tab 1: Foundations -->
        <div id="foundations" class="tab-content active">
            <!-- FrugalGPT Card -->
            <div class="glass-card">
                <h2>🔄 FrugalGPT: LLM Cascades & Prompt Adaptation</h2>
                <p>Derived from the paper <em>"FrugalGPT: How to Use Large Language Models While Reducing Cost and Improving Performance"</em> (Chen et al., Stanford University, 2023), InferRoute implements three key cost-saving mechanics:</p>
                
                <div class="card-grid">
                    <div class="sub-card">
                        <h3>1. Prompt Adaptation</h3>
                        <p>Prunes long prompt histories or few-shot example prefixes down to at most 1 context example when querying cheap local models (Ollama/vLLM), restoring full complexity only when cascading to commercial endpoints.</p>
                    </div>
                    <div class="sub-card">
                        <h3>2. LLM Approximation (Redis Cache)</h3>
                        <p>Uses standard Redis completion caches. Matches queries in under 10ms, avoiding upstream model fees completely for exact duplicate concurrent prompts.</p>
                    </div>
                </div>

                <div class="card-grid" style="margin-top: 1.5rem;">
                    <div class="sub-card">
                        <h3>3. Sequential LLM Cascade</h3>
                        <p>Sequentially routes queries through a chain of backends (Ollama ➔ vLLM ➔ Gemini ➔ OpenAI). A Reliability Judge assesses output quality at each tier, escalating to the next tier if the quality score falls below \(\tau\).</p>
                    </div>
                    <div class="sub-card">
                        <h3>4. Streaming Cascade Buffer Heuristics</h3>
                        <p>Buffers SSE stream chunks server-side to detect infinite loops or gibberish outputs. Speculatively cancels degraded local streams and escalates to premium cloud nodes mid-stream to avoid client-facing disruptions.</p>
                    </div>
                </div>

                <!-- Academic Breakdown: FrugalGPT Cascading Core Logic -->
                <div class="sub-card" style="margin-top: 1.5rem; background: rgba(109, 40, 217, 0.02); border-color: rgba(109, 40, 217, 0.15); display: flex; gap: 1rem; align-items: flex-start;">
                    <span style="font-size: 1.5rem;">📄</span>
                    <div>
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--accent-violet); margin-bottom: 0.25rem;">Theoretical Framework: Model Cascading & Optimization</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); line-height: 1.6;">
                            The FrugalGPT framework models cost-performance optimization as a decision sequence under cost bounds. By arranging models in ascending order of cost and capabilities (e.g., \(M_1, M_2, \dots, M_k\)), the system routes the query sequentially. For each model \(M_j\), the response is validated by a specialized quality assessor (Reliability Judge). If the response quality satisfies the threshold (\(Q(M_j, x) \ge \tau\)), the generation stops, avoiding subsequent cloud execution fees. Otherwise, the request escalates to the next model tier, guaranteeing response quality while keeping average costs minimal.
                        </p>
                    </div>
                </div>

                <!-- Live Cascade Simulator Box -->
                <div class="simulator-box">
                    <h3>🎛️ Interactive Cascade Simulator</h3>
                    <p style="font-size: 0.85rem; color: var(--text-secondary); margin-bottom: 1rem;">Adjust the sliding acceptance threshold \(\tau\) and click Simulate to trace the sequential escalation path.</p>
                    
                    <div class="sim-controls">
                        <div class="sim-slider-container">
                            <div class="sim-slider-label">
                                <span>Acceptance Threshold (\(\tau\)):</span>
                                <span id="simTauVal" style="font-weight:600; color:#C084FC;">0.60</span>
                            </div>
                            <input type="range" id="simTauSlider" min="0" max="1" step="0.05" value="0.60" oninput="updateSimTau(this.value)">
                        </div>
                        <select id="simQueryType">
                            <option value="math">Math Equation (5x - 15 = 20)</option>
                            <option value="code">Python Coding Prompt (def sort...)</option>
                            <option value="greeting">Simple Greeting (Hello!)</option>
                        </select>
                        <button class="btn btn-primary" onclick="runSimulation()" style="justify-content:center; padding: 0.65rem 1rem;">
                            Simulate Cascade
                        </button>
                    </div>

                    <div class="sim-steps-wrapper">
                        <!-- Step 1: Ollama -->
                        <div class="sim-step-node" id="simNode_ollama">
                            <div class="sim-icon">1</div>
                            <div class="node-details">
                                <div class="node-name">
                                    <span>OLLAMA (Tier 1 - Cheap Local)</span>
                                    <span class="node-badge" id="simBadge_ollama">Pending</span>
                                </div>
                                <div class="node-output" id="simOutput_ollama">Waiting to run...</div>
                            </div>
                        </div>

                        <!-- Step 2: vLLM -->
                        <div class="sim-step-node" id="simNode_vllm">
                            <div class="sim-icon">2</div>
                            <div class="node-details">
                                <div class="node-name">
                                    <span>vLLM (Tier 2 - Mid Local)</span>
                                    <span class="node-badge" id="simBadge_vllm">Pending</span>
                                </div>
                                <div class="node-output" id="simOutput_vllm">Waiting to run...</div>
                            </div>
                        </div>

                        <!-- Step 3: OpenAI -->
                        <div class="sim-step-node" id="simNode_openai">
                            <div class="sim-icon">3</div>
                            <div class="node-details">
                                <div class="node-name">
                                    <span>OPENAI (Tier 3 - Premium Cloud)</span>
                                    <span class="node-badge" id="simBadge_openai">Pending</span>
                                </div>
                                <div class="node-output" id="simOutput_openai">Waiting to run...</div>
                            </div>
                        </div>
                    </div>

                    <div class="sim-console" id="simConsole">
                        System ready. Click "Simulate Cascade" to start.
                    </div>
                </div>
            </div>

            <!-- RouterBench Card -->
            <div class="glass-card">
                <h2>🧠 RouterBench: Mathematical Optimization</h2>
                <p>Based on the paper <em>"RouterBench: A Benchmark for Multi-LLM Routing System"</em> (Li et al., Martian, 2024), InferRoute structures content-aware models using standard cost-quality constraints.</p>
                
                <div class="sub-card" style="margin-bottom: 1.5rem;">
                    <h3>1. The Utility Score Formula</h3>
                    <p>The routing engine maximizes target utility for prompt \(x\) by selecting backend \(m\):</p>
                    <div class="formula-box">
                        \[\text{Score}(m, x) = \lambda \cdot \text{Quality}_{\text{pred}}(m, x) - \text{Cost}(m)\]
                    </div>
                    <p style="font-size: 0.85rem; color: var(--text-secondary);">
                        Here, \(\lambda\) is the cost-quality trade-off parameter (willingness-to-pay), \(\text{Quality}_{\text{pred}}\) is the predicted model quality score (0.0 to 1.0), and \(\text{Cost}(m)\) represents model API execution fees.
                    </p>
                </div>

                <div class="card-grid">
                    <div class="sub-card">
                        <h3>2. Routing Curve Metric (AIQ)</h3>
                        <p>To evaluate a routing policy globally across budgets, we calculate the **AIQ (Area under the cost-quality curve)** using the Trapezoidal Rule:</p>
                        <div class="formula-box" style="font-size: 0.85rem;">
                            \[\text{AIQ} = \int_{c_{\min}}^{c_{\max}} Q(c) \, dc \approx \sum_{i=0}^{n-1} \frac{q_i + q_{i+1}}{2} \cdot (c_{i+1} - c_i)\]
                        </div>
                    </div>
                    <div class="sub-card">
                        <h3>3. Supported Routing Policies</h3>
                        <p>InferRoute implements six distinct routing strategies matching the RouterBench & FrugalGPT frameworks:</p>
                        <div style="display: flex; flex-direction: column; gap: 0.65rem; margin-top: 0.75rem; font-size: 0.85rem; color: var(--text-secondary);">
                            <div><strong style="color: var(--text-primary);">🎲 Zero Router Baseline (zero):</strong> Non-content-aware routing. Randomly routes requests to Cloud vs. Local backends based on a target mixture ratio \(p \in [0, 1]\) to form the baseline cost-quality curve.</div>
                            <div><strong style="color: var(--text-primary);">📋 Rule-Based Router (rule):</strong> Content-aware heuristics. Evaluates prompt keywords (e.g., routing math tasks to GPT/Gemini, coding tasks to local vLLM, simple greetings to Ollama).</div>
                            <div><strong style="color: var(--text-primary);">🧠 KNN-Based Router (knn):</strong> Jaccard nearest-neighbor lookup on historical runs. Finds the \(K\) most similar prompts, averages their quality, and maximizes the score equation.</div>
                            <div><strong style="color: var(--text-primary);">🕸️ MLP-Based Router (mlp):</strong> A fast logistic regression classifier extracting features (length, code, math, JSON) to predict model success rates and select the highest-scoring backend.</div>
                            <div><strong style="color: var(--text-primary);">🔮 Oracle Router (oracle):</strong> Theoretical optimal offline reference that has perfect knowledge of outcomes and chooses the cheapest backend that achieves a quality score \(\ge 0.8\).</div>
                            <div><strong style="color: var(--text-primary);">🔄 Cascade Router (cascade):</strong> FrugalGPT-style sequential escalation. Triggers cascading hops across model tiers if the reliability judge output score falls below threshold \(\tau\).</div>
                        </div>
                    </div>
                </div>
            </div>

            <!-- Academic Breakdown: RouterBench Optimization Framework -->
            <div class="sub-card" style="margin-top: 1.5rem; background: rgba(109, 40, 217, 0.02); border-color: rgba(109, 40, 217, 0.15); display: flex; gap: 1rem; align-items: flex-start; margin-bottom: 2rem;">
                <span style="font-size: 1.5rem;">📄</span>
                <div>
                    <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--accent-violet); margin-bottom: 0.25rem;">Theoretical Framework: Cost-Quality Optimization Frontier</h4>
                    <p style="font-size: 0.9rem; color: var(--text-secondary); line-height: 1.6;">
                        The RouterBench framework models LLM selection as a multi-objective optimization problem. By defining the parameter \(\lambda\) (cost-quality trade-off coefficient), the scoring equation evaluates the economic utility of selecting a model \(m\) for a prompt \(x\). The parameter \(\lambda\) represents a user's willingness-to-pay: setting a higher \(\lambda\) prioritizes response quality, while a lower \(\lambda\) emphasizes cost savings. The Area under the cost-quality curve (AIQ) measures the cumulative routing performance across all budget constraints, serving as a unified metric for evaluating routing efficiency.
                    </p>
                </div>
            </div>

            <div class="glass-card" style="margin-top: 2rem;">
                <h2>📚 Original Research Papers & Reference Hub</h2>
                <p>Read and preview the full research publications associated with this routing engine directly in your browser:</p>
                <div class="paper-grid" style="display: grid; grid-template-columns: repeat(auto-fill, minmax(350px, 1fr)); gap: 1.5rem; margin-top: 1.5rem;">
                    
                    <!-- Paper 1 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">FrugalGPT Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">How to Use Large Language Models While Reducing Cost and Improving Performance (Stanford, 2023)</span>
                        <a href="article/How_to_Use_Large_Language_Models.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>商业大模型单次调用费用昂贵,而开源/小尺寸模型(如 Llama、GPT-3.5)极其便宜但准确率参差不齐。本论文提出通过调度低成本模型并搭配判定机制,以在保留高准确率的同时大幅削减总费用。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>级联模型 (Cascade Decision):</strong> 设定模型序列 \((M_1, M_2, \dots, M_k)\) 以及质量评估器 \(J: \text{Response} \to [0, 1]\)。</p>
                                <p>对于请求 \(x\),系统依次生成 \(y_i = M_i(x)\),若 \(J(y_i) \ge \tau\)(接受度阈值),则立刻终止级联返回,否则 escalation 到下一级。</p>
                                <h5>📊 实验结论</h5>
                                <p>相比直接调用 GPT-4,FrugalGPT 可降低高达 90% 的总账单,并指出小模型无法有效吸收冗长上下文,提示词裁剪至关重要。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>级联选路运行在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/main.py">main.py</a> 的级联流中,裁剪在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/prompt_adapter.py">prompt_adapter.py</a>,评分判定运行在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/validator.py">validator.py</a></p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 2 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">RouterBench Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">A Benchmark for Multi-LLM Routing System (Martian, 2024)</span>
                        <a href="article/A_Benchmark_for_Multi_LLM_Routing_System.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>大模型路由逐步多样化,但缺乏标准化的评估基准和数学框架来对比不同路由器在性价比上的优劣。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>效用评分公式:</strong> \(S(m, x) = \lambda \cdot Q_{\text{pred}}(m, x) - C(m)\),其中 \(\lambda\) 代表用户的支付意愿系数,\(Q\) 代表模型的质量预测,\(C\) 代表计费成本。</p>
                                <p><strong>AIQ 曲线下面积积分:</strong> \(\text{AIQ} = \int_{c_{\min}}^{c_{\max}} Q(c) \, dc\),衡量在各种预算曲线下的全局选路表现。</p>
                                <h5>📊 实验结论</h5>
                                <p>引入预测型 MLP 路由器相比静态概率分配(Zero Router)可提升整体 AIQ 达 15% 以上。Oracle 决策上限揭示了路由组合的潜能。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>效用评分与路由在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/router.py">router.py</a> 中的 KNN/MLP 选路策略中运行,帕累托分析和 AIQ 计算在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/benchmarks/plot_results.py">plot_results.py</a></p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 3 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">Hybrid LLM Routing Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">Hybrid LLM: Cost-Efficient and Quality-Aware Query Routing (IBM / Tsinghua, 2024)</span>
                        <a href="article/cost_efficiency.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>解决企业在拥有高并发免费本地小模型群(Edge)与计费的云端强模型(Cloud)时,如何实现高可用混合选路,减少多级判定带来的 TTFT 耗时。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>难度分类器 (Difficulty Estimator):</strong> \(D(x) = \text{Classifier}(x) \in \{0, 1\}\),直接判定请求难易度并直达目标模型,强调一击即中。</p>
                                <h5>📊 实验结论</h5>
                                <p>中等体量分类器能以 85% 以上精度区分复杂度。能够降低多达 40% 的平均网络往返延迟,节约超 60% 费用。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p><a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/learned_router.py">learned_router.py</a> 中实现了提取 prompt 任务特质(数学、代码等)的特征估计和直达策略分流。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 4 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">RouteLLM Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">Learning to Route LLMs with Preference Data (LMSYS / Berkeley, ICLR 2025)</span>
                        <a href="article/RouteLLM_Preference_Data.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>针对写作、创意、日常对话等缺乏唯一标准解的任务,探讨如何利用大模型竞技场(Chatbot Arena)产生的人类真实偏好对战数据训练二分类器。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>偏好对战概率 (Bradley-Terry Extension):</strong> \(P(M_{\text{strong}} \succ M_{\text{cheap}} \mid x) = \sigma(f(x))\),通过交叉熵损失优化预测。概率大于阈值 \(\theta\) 时上报强模型,否则分流至便宜模型。</p>
                                <h5>📊 实验结论</h5>
                                <p>在 Arena 上能在维持 GPT-4 95% 满意度的同时,缩减 50% API 费用,并验证了轻量级分类网络的优越性。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>概率选路决策与阈值判定借鉴了该设计(<a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/router.py">router.py</a>),拟在后续工作中引入专门的偏好二分类预测器 `preference_router.py`。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 5 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">EquiRouter Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">When Routing Collapses: On Degenerate Convergence (Lai & Ye, 2026)</span>
                        <a href="article/When_Routing_Collapses.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>指出当存在 3 个以上候选模型池时,传统的 MSE 回归训练机制会导致在高预算(大 \(\lambda\))时决策权坍缩,强制全选最昂贵模型。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>决策感知排序损失 (Decision-Aware Ranking Loss):</strong></p>
                                <p>\(\mathcal{L}_{\text{rank}} = -\sum_{i \ne j} \log \sigma \Big( \big(\text{Utility}(M_i, x) - \text{Utility}(M_j, x)\big) \cdot \mathbb{I}(M_i \succ M_j) \Big)\),强调学习两模型效用之差,维持边界决策概率。</p>
                                <h5>📊 实验结论</h5>
                                <p>EquiRouter 成功解决回归多分类塌陷问题,在同等质量下,高预算区间多降低 17% 开销。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>网关对效用归一化进行了放塌陷微调。未来将在 `benchmarks/train_router.py` 中直接换用此排名损失函数进行优化。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 6 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">R2-Router Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">R2-Router: A New Paradigm for LLM Routing with Reasoning (ICML 2026)</span>
                        <a href="article/R2_Router_Reasoning.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>大模型调用费用大多由生成字数决定。若不设防生成字数,大模型输出的冗长答复会极大地蚕食路由的成本红利。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>联合寻优公式:</strong> \(\max_{m, L} \left[ \text{Quality}(m, x, L) - \lambda \cdot \text{Cost}(m, L) \right]\),其中 \(L\) 代表限制最大输出 token 字数。</p>
                                <h5>📊 实验结论</h5>
                                <p>常识问答和提取任务在缩短字数后质量维持原样,这为输出开销带来了 4-5 倍的缩减,显著加快了端到端流式接收。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p><a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/prompt_adapter.py">prompt_adapter.py</a> 中实现了动态提示词注入与长度自适应,根据模型档次调整 payload `max_tokens` 参数。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 7 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">Router-R1 Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">Multi-Round Routing and Aggregation via Reinforcement Learning (2025)</span>
                        <a href="article/Router_R1_Multi_Round.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>单次单轮分类分流遇到超复杂的多步推理或代码排错任务基本失灵。复杂任务需要多轮拆解、反复求证与多次升级路由。</p>
                                <h5>📐 数学建模与公式</h5>
                                <p><strong>RL 奖励机制:</strong> \(\mathcal{R} = \mathcal{R}_{\text{accuracy}}(y) + \mathcal{R}_{\text{format}}(\text{think\_blocks}) - \beta \cdot \text{Cost}_{\text{inference}}\),用强化学习调教 local 选路 agent。Agent 生成带有 `&lt;think&gt;` 思维链的逻辑步骤,拆分调度子请求并汇总。</p>
                                <h5>📊 实验结论</h5>
                                <p>训练过的 8B 代理学会了在思考链中调度预算,仅耗费 GPT-4 35% 的成本就达到了等同程度的数学解答水准。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>对应了网关在 <a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/inferroute/main.py">main.py</a> 级联检验模块中配置的失败回退重试与条件流阻断。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 8 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">LLMRouterBench Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">A Massive Benchmark and Unified Framework for LLM Routing (2026)</span>
                        <a href="article/LLMRouterBench_Massive.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>解决路由领域实验设计混乱、微调偏好漂移等数据漂移(Data Drift)带来的评测不稳定性,亟需大规模科学对照评测基准。</p>
                                <h5>📊 实验结论</h5>
                                <p>构建了 400K 级多任务标准测试集,证实路由存在 Scaling Laws(缩放定律):决策模型并非越大越好,1B 以下的特征分类器往往性能/能耗性价比最高。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>网关所采用的 Reproducible Evaluation Harness 脚本提供了基础实验测试设计方法与任务配置格式(<a href="file:///c:/Users/pengy/OneDrive/Desktop/InferRoute/benchmarks/datasets/workload.json">workload.json</a>)。</p>
                            </div>
                        </details>
                    </div>

                    <!-- Paper 9 -->
                    <div class="sub-card" style="display: flex; flex-direction: column; padding: 1.5rem; background: rgba(0, 0, 0, 0.02); border: 1px solid var(--border-color); border-radius: 12px; color: var(--text-primary);">
                        <span style="font-size: 1.5rem; margin-bottom: 0.5rem;">📄</span>
                        <span style="font-family: var(--font-outfit); font-weight: 700; font-size: 1.1rem; color: var(--text-primary); margin-bottom: 0.25rem;">Routing Survey Paper</span>
                        <span style="font-size: 0.8rem; color: var(--text-secondary); margin-bottom: 0.75rem;">A Survey on Routing Strategies for Resource Optimisation (2025)</span>
                        <a href="article/Survey_Routing_Resource_Optimisation.pdf" target="_blank" style="align-self: flex-start; background: rgba(139, 92, 246, 0.15); border: 1px solid rgba(109, 40, 217, 0.2); color: var(--accent-violet); font-size: 0.75rem; font-weight: 600; padding: 0.25rem 0.65rem; border-radius: 6px; text-decoration: none; display: inline-flex; align-items: center; gap: 0.25rem; margin-bottom: 0.75rem;">Read / Preview PDF</a>
                        
                        <details class="paper-summary-details">
                            <summary>查看学术综述 (Paper Summary)</summary>
                            <div class="paper-summary-content">
                                <h5>🔍 研究背景</h5>
                                <p>为大模型服务架构及硬件开销分摊在资源优化垂直领域的科学分类(Taxonomy)建立体系。</p>
                                <h5>📊 总结机制</h5>
                                <p>从路由特征空间(Embedding/Text/Agent)、选路时间节点(Pre-generation/In-generation/Post-generation)与基础设施成本(本地 GPU 折旧 vs 云 API 计费)对比了各种架构的吞吐量、响应延时等折中机制。</p>
                                <h5>⚙️ Codebase 集成落地</h5>
                                <p>确定了 InferRoute 数据平面与控制平面分离、网关多指标 Prometheus 监控的设计方针。</p>
                            </div>
                        </details>
                    </div>

                </div>
            </div>

            <!-- Academic Bibliography & References -->
            <div class="glass-card" style="margin-top: 2rem;">
                <h2>📚 Academic Bibliography & References</h2>
                <p>Formal scientific citations for the core research papers referenced during the design and optimization of the InferRoute gateway:</p>
                
                <div style="display: flex; flex-direction: column; gap: 1.5rem; margin-top: 1.5rem;">
                    
                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">1. FrugalGPT (Stanford University)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Chen, L., Zaharia, M., & Zou, J. (2023). FrugalGPT: How to use large language models while reducing cost and improving performance. <em>arXiv preprint arXiv:2305.05196</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{chen2023frugalgpt,
  title={FrugalGPT: How to use large language models while reducing cost and improving performance},
  author={Chen, Lingjiao and Zaharia, Matei and Zou, James},
  journal={arXiv preprint arXiv:2305.05196},
  year={2023}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">2. RouterBench (Martian)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Li, T., Martian Team, et al. (2024). RouterBench: A Benchmark for Multi-LLM Routing System. <em>arXiv preprint arXiv:2403.11164</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{li2024routerbench,
  title={RouterBench: A Benchmark for Multi-LLM Routing System},
  author={Li, Teh-Hsien and others},
  journal={arXiv preprint arXiv:2403.11164},
  year={2024}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">3. Hybrid LLM Routing (IBM / Tsinghua)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Ding, J., et al. (2024). Hybrid LLM: Cost-Efficient and Quality-Aware Query Routing. <em>arXiv preprint arXiv:2404.14944</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{ding2024hybrid,
  title={Hybrid LLM: Cost-Efficient and Quality-Aware Query Routing},
  author={Ding, Jiayi and others},
  journal={arXiv preprint arXiv:2404.14944},
  year={2024}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">4. RouteLLM (LMSYS / UC Berkeley)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Ong, I., Almahairi, A., Wu, V., Chiang, W. L., Wu, T., Gonzalez, J. E., Kadous, M. W., & Stoica, I. (2025). RouteLLM: Learning to Route LLMs with Preference Data. <em>Proceedings of the Thirteenth International Conference on Learning Representations (ICLR)</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@inproceedings{ong2025routellm,
  title={RouteLLM: Learning to Route LLMs with Preference Data},
  author={Ong, Isaac and Almahairi, Amjad and Wu, Vincent and Chiang, Wei-Lin and Wu, Tianhao and Gonzalez, Joseph E. and Kadous, M. Waleed and Stoica, Ion},
  booktitle={The Thirteenth International Conference on Learning Representations},
  year={2025}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">5. EquiRouter (Routing Collapse Mitigation)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Lai, G., & Ye, H. J. (2026). When Routing Collapses: On the Degenerate Convergence of LLM Routers. <em>arXiv preprint arXiv:2602.03478</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{lai2026when,
  title={When Routing Collapses: On the Degenerate Convergence of LLM Routers},
  author={Lai, Guannan and Ye, Han-Jia},
  journal={arXiv preprint arXiv:2602.03478},
  year={2026}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">6. R2-Router (Output-Length-Constrained Routing)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Anonymous (2026). R2-Router: A New Paradigm for LLM Routing with Reasoning. <em>arXiv preprint arXiv:2602.02823</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{r2router2026,
  title={R2-Router: A New Paradigm for LLM Routing with Reasoning},
  journal={arXiv preprint arXiv:2602.02823},
  year={2026}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">7. Router-R1 (Reinforcement Learned Multi-Round Router)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Anonymous (2025). Router-R1: Teaching LLMs Multi-Round Routing and Aggregation via Reinforcement Learning. <em>arXiv preprint arXiv:2506.09033</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{routerr12025,
  title={Router-R1: Teaching LLMs Multi-Round Routing and Aggregation via Reinforcement Learning},
  journal={arXiv preprint arXiv:2506.09033},
  year={2025}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">8. LLMRouterBench (Large-Scale Benchmarking Framework)</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Anonymous (2026). LLMRouterBench: A Massive Benchmark and Unified Framework for LLM Routing. <em>arXiv preprint arXiv:2601.07206</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{llmrouterbench2026,
  title={LLMRouterBench: A Massive Benchmark and Unified Framework for LLM Routing},
  journal={arXiv preprint arXiv:2601.07206},
  year={2026}
}</pre>
                        </details>
                    </div>

                    <div class="sub-card" style="background: rgba(0,0,0,0.01);">
                        <h4 style="font-family: var(--font-outfit); font-weight: 700; color: var(--text-primary); margin-bottom: 0.5rem;">9. Resource-Optimized LLM Routing Survey</h4>
                        <p style="font-size: 0.9rem; color: var(--text-secondary); margin-bottom: 0.75rem; font-style: italic;">
                            Anonymous (2025). Doing More with Less: A Survey on Routing Strategies for Resource Optimisation in Large Language Model-Based Systems. <em>arXiv preprint arXiv:2502.00409</em>.
                        </p>
                        <details style="cursor: pointer; font-size: 0.85rem;">
                            <summary style="color: var(--accent-violet); font-weight: 600; outline: none; margin-bottom: 0.5rem;">Show BibTeX Citation</summary>
                            <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); overflow-x: auto; font-family: monospace; color: var(--text-secondary);">@article{resource_routing_survey_2025,
  title={Doing More with Less: A Survey on Routing Strategies for Resource Optimisation in Large Language Model-Based Systems},
  journal={arXiv preprint arXiv:2502.00409},
  year={2025}
}</pre>
                        </details>
                    </div>

                </div>
            </div>
        </div>


        <!-- Tab 2: Architecture -->
        <div id="architecture" class="tab-content">
            <div class="glass-card">
                <h2>🏗   InferRoute Gateway Request Lifecycle</h2>
                <p>The sequence details how the gateway interceptor resolves client requests, manages cache, allocates concurrency slots, and executes cascades:</p>
                
                <div class="mermaid-box" style="background: rgba(0,0,0,0.35); padding: 1.5rem; border-radius: 12px; border: 1px solid var(--border-color); display: flex; justify-content: center; overflow-x: auto; margin-top: 1rem; margin-bottom: 2.5rem; box-shadow: inset 0 2px 8px rgba(0,0,0,0.4);">
                    <div class="mermaid" style="width: 100%; min-width: 600px;">
sequenceDiagram
    autonumber
    actor Client as Client App / SDK
    participant GW as InferRoute Gateway
    participant Auth as Auth & Credit Gate
    participant Cache as Cache Layer (Redis)
    participant Limiter as Vegas Limiter
    participant Router as Routing Engine
    participant Model as LLM Upstream
    participant Audit as DB Audit & Billing

    Client->>GW: POST /v1/chat/completions (Stream)
    GW->>Auth: verify_api_key & check_balance
    alt Balance <= $0.00
        Auth-->>Client: 402 Payment Required
    else Balance OK
        Auth-->>GW: Tenant ID Resolved
        GW->>Cache: try_acquire_dedup_lock
        alt Cache Hit
            Cache-->>Client: Stream Cached chunks directly
        else Cache Miss
            GW->>Cache: match_longest_prefix
            Cache-->>GW: Return Cache-Affinity Weight
            GW->>Limiter: acquire_slot
            alt Concurrency Exceeded
                Limiter-->>Client: 429 Too Many Requests
            else Slot Acquired
                GW->>Router: choose_backend (Scoring weights)
                Router-->>GW: Selected Backend (e.g. Ollama)
                GW->>Model: Invoke Model Stream
                Model-->>GW: Yield Stream Chunks
                GW->>Client: Forward Stream Chunks
                alt Loop/Repetitive Garbage Detected
                    GW->>Model: Cancel speculative stream
                    GW->>Router: Trigger Fallback Cascade
                    Router->>Model: Invoke Cloud Backend (OpenAI)
                    Model-->>Client: Stream Cloud response
                end
                GW->>Limiter: release_slot
                GW->>Audit: db_log_request & debit wallet
            end
        end
    end
                    </div>
                </div>
                
                <div class="lifecycle-container">
                    <div class="lifecycle-step">
                        <div class="step-num">1</div>
                        <div class="step-info">
                            <h4>Authentication & Credit check</h4>
                            <p>Resolves client headers to tenant ID and asserts balance balance \(> \$0.00\). Applies a resilient fail-open policy if the database is unreachable.</p>
                        </div>
                    </div>
                    <div class="lifecycle-step">
                        <div class="step-num">2</div>
                        <div class="step-info">
                            <h4>Exact & Prefix Cache Match</h4>
                            <p>Performs a Redis exact completion lookup. If missing, checks the Radix Trie prefix index to score warm KV-cache affinity on self-hosted model backends.</p>
                        </div>
                    </div>
                    <div class="lifecycle-step">
                        <div class="step-num">3</div>
                        <div class="step-info">
                            <h4>Vegas Concurrency Control</h4>
                            <p>Queries concurrency limits to dynamically protect local GPU memory allocations, rejecting or cascading requests to cloud buffers if limits are breached.</p>
                        </div>
                    </div>
                    <div class="lifecycle-step">
                        <div class="step-num">4</div>
                        <div class="step-info">
                            <h4>Model Selection & Cascade Stream</h4>
                            <p>Routes prompts to the chosen backend. For cascades, it buffers output stream tokens, runs heuristics, and transparently initiates speculative escalations upon validation failures.</p>
                        </div>
                    </div>
                    <div class="lifecycle-step">
                        <div class="step-num">5</div>
                        <div class="step-info">
                            <h4>Audit Ledger logging</h4>
                            <p>Logs latency telemetry and final aggregated token costs asynchronously to PostgreSQL database ledgers, decrementing tenant credit limits.</p>
                        </div>
                    </div>
                </div>
            </div>

            <!-- Playground Control Center Card -->
            <div class="glass-card" style="margin-top: 2rem;">
                <h2>🎨 Observability Control Center & Interactive Playground</h2>
                <p>InferRoute features an interactive client playground dashboard (served at the root <code>/</code> path) allowing developers to monitor and simulate gateway functions in real-time:</p>
                <div class="card-grid" style="margin-top: 1.5rem;">
                    <div class="sub-card">
                        <h3>1. Live Telemetry Cost Dashboard</h3>
                        <p>Displays financial metrics including cumulative API dollars saved, tokens processed, Redis cache hit rates, average Time-to-First-Token (TTFT), and system uptime in real-time.</p>
                    </div>
                    <div class="sub-card">
                        <h3>2. Interceptor Pipeline Visualizer</h3>
                        <p>Renders a live vertical step visualizer tracking individual requests. Watch prompts flow through Cache lookup ➔ Concurrency limit verification ➔ Primary model execution ➔ speculative loops cancellation ➔ Cascade trigger.</p>
                    </div>
                    <div class="sub-card">
                        <h3>3. Wallet & Credit Controller</h3>
                        <p>Simulates tenant wallet balances and limits. Allows manual top-up adjustments (e.g., refilling $10.00 trial credits) to inspect rate-limiting triggers and HTTP 402 payment requirements.</p>
                    </div>
                    <div class="sub-card">
                        <h3>4. Chaos Engineering Panel</h3>
                        <p>Allows manual injection of failures (latency spikes, HTTP 500 crashes, network dropouts) into specific backend nodes to observe gateway self-healing, automatic failovers, and circuit-breaker status changes in real-time.</p>
                    </div>
                </div>
            </div>
        </div>

        <!-- Tab 3: Benchmarks -->
        <div id="benchmarks" class="tab-content">
            <div class="glass-card">
                <h2>📊 RouterBench Policy Sweep Outcomes</h2>
                <p>Below are evaluation statistics sweeping mixture ratios (\(p\)), trade-off factors (\(\lambda\)), and cascade thresholds (\(\tau\)) over workload dataset prompts:</p>
                
                <table>
                    <thead>
                        <tr>
                            <th>Routing Strategy</th>
                            <th>Cost per Request ($ USD)</th>
                            <th>Avg Quality Score (0 - 1.0)</th>
                            <th>Avg Latency (ms)</th>
                            <th>SLO Compliance</th>
                            <th>Fallback Hops</th>
                        </tr>
                    </thead>
                    <tbody>
                        <tr>
                            <td class="highlight-violet">Oracle Router Optimal</td>
                            <td>$0.000022</td>
                            <td>0.78</td>
                            <td>258ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>0.0%</td>
                        </tr>
                        <tr>
                            <td>KNN Router (\(\lambda = 1.00\))</td>
                            <td>$0.000019</td>
                            <td>0.75</td>
                            <td>266ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>0.0%</td>
                        </tr>
                        <tr>
                            <td>MLP Router (\(\lambda = 0.50\))</td>
                            <td>$0.000023</td>
                            <td>0.75</td>
                            <td>258ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>0.0%</td>
                        </tr>
                        <tr>
                            <td>Cascade Router (\(\tau = 0.60\))</td>
                            <td>$0.000017</td>
                            <td>0.62</td>
                            <td>239ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>66.7%</td>
                        </tr>
                        <tr>
                            <td>Always OpenAI Cloud</td>
                            <td>$0.000044</td>
                            <td>0.75</td>
                            <td>250ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>0.0%</td>
                        </tr>
                        <tr>
                            <td>Always Ollama Local</td>
                            <td>$0.000000</td>
                            <td>0.31</td>
                            <td>190ms</td>
                            <td class="highlight-emerald">100.0%</td>
                            <td>8.3%</td>
                        </tr>
                    </tbody>
                </table>
            </div>
            <div class="glass-card">
                <h2>📈 Trade-off Visualization Curves</h2>
                <p>These curves show the actual measured performance frontier across swept cost levels:</p>
                <div class="card-grid" style="margin-top: 1.5rem;">
                    <div class="sub-card" style="text-align: center;">
                        <h3 style="margin-bottom: 0.75rem; text-align: left;">Cost-Quality Pareto Frontier</h3>
                        <img src="cost_quality_frontier.png" alt="Cost-Quality Frontier" style="max-width: 100%; border-radius: 8px; border: 1px solid var(--border-color); box-shadow: 0 4px 15px rgba(0,0,0,0.3); transition: all 0.3s;" onmouseover="this.style.transform='scale(1.02)';" onmouseout="this.style.transform='scale(1)';" />
                        <p style="font-size: 0.8rem; color: var(--text-secondary); margin-top: 0.75rem; text-align: left;">Pareto sweeps comparing KNN, MLP, FrugalGPT Cascades, and the Zero Router baseline. Note the efficient frontier pushed to the top-left by the learned routers.</p>
                    </div>
                    <div class="sub-card" style="text-align: center;">
                        <h3 style="margin-bottom: 0.75rem; text-align: left;">Latency Comparison</h3>
                        <img src="latency_comparison.png" alt="Latency Comparison" style="max-width: 100%; border-radius: 8px; border: 1px solid var(--border-color); box-shadow: 0 4px 15px rgba(0,0,0,0.3); transition: all 0.3s;" onmouseover="this.style.transform='scale(1.02)';" onmouseout="this.style.transform='scale(1)';" />
                        <p style="font-size: 0.8rem; color: var(--text-secondary); margin-top: 0.75rem; text-align: left;">Comparison of processing latency and time-to-first-token (TTFT) metrics across different routing scenarios.</p>
                    </div>
                </div>
            </div>

            <div class="glass-card">
                <h2>📈 Executive Experiment Summary</h2>
                <div class="card-grid">
                    <div class="sub-card">
                        <h3>98% API Cost Saved</h3>
                        <p>Through exact stream deduplication via Redis Pub/Sub, multiple concurrent burst requests calling duplicate system prompts are coalesced into a single upstream model invocation.</p>
                    </div>
                    <div class="sub-card">
                        <h3>80% TTFT Reduction</h3>
                        <p>Prefix-affinity routing identifies Warm KV-caches on GPU nodes using a Radix Trie, routing prompts to nodes with active context caches to eliminate prefill latency.</p>
                    </div>
                </div>
            </div>

            <!-- Reproducible Evaluation Sweep Harness -->
            <div class="glass-card" style="margin-top: 2rem;">
                <h2>📊 Reproducible Evaluation Sweep Harness</h2>
                <p>InferRoute provides a built-in evaluation framework to verify the cost-quality trade-offs of all routing algorithms under realistic workload datasets. The system sweeps ratios and willingness-to-pay parameters to export Pareto curves:</p>
                <div style="display: flex; flex-direction: column; gap: 1rem; margin-top: 1rem;">
                    <div class="sub-card" style="background: rgba(0, 0, 0, 0.01);">
                        <h3>1. Run the Evaluation Sweep Orchestrator</h3>
                        <p style="margin-bottom: 0.75rem; font-size: 0.9rem; color: var(--text-secondary);">This script iterates across dataset prompts, simulating requests against mock or real endpoints and logging cost, latency, quality, and routing outputs:</p>
                        <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); font-family: monospace; color: var(--text-primary); font-size: 0.85rem;">python benchmarks/run_router_eval.py</pre>
                    </div>
                    <div class="sub-card" style="background: rgba(0, 0, 0, 0.01);">
                        <h3>2. Compile Metrics & Generate Pareto Curves</h3>
                        <p style="margin-bottom: 0.75rem; font-size: 0.9rem; color: var(--text-secondary);">This script reads the raw evaluation outcomes, fits the cost-quality points using the Trapezoidal Rule to calculate Area Under the Curve (AIQ), and exports standard PNG curves:</p>
                        <pre style="background: rgba(0,0,0,0.03); padding: 0.75rem; border-radius: 6px; border: 1px solid var(--border-color); font-family: monospace; color: var(--text-primary); font-size: 0.85rem;">python benchmarks/plot_results.py</pre>
                    </div>
                    <div class="sub-card" style="background: rgba(109, 40, 217, 0.02); border-color: rgba(109, 40, 217, 0.15);">
                        <h3 style="color: var(--accent-violet);">⚙️ Sweeping Parameters Summary</h3>
                        <p style="font-size: 0.85rem; color: var(--text-secondary);">The evaluation sweeps the target cloud mixture ratio \(p \in [0, 1]\) for the Zero Router baseline, and sweeping trade-off thresholds \(\lambda \in [0, 1]\) or \(\tau \in [0, 1]\) for KNN, MLP, and Cascade routing algorithms to systematically construct the Pareto frontier.</p>
                    </div>
                </div>
            </div>
        </div>

        <!-- Tab 4: Self-Healing -->
        <div id="self-healing" class="tab-content">
            <div class="glass-card">
                <h2>🛡️ Vegas Adaptive Limiting & Circuit Breakers</h2>
                <p>InferRoute maintains system resilience through autonomous closed-loop feedback controllers.</p>
                
                <div class="card-grid">
                    <div class="sub-card">
                        <h3>1. Vegas Congestion Limiter</h3>
                        <p>Inspired by TCP Vegas congestion control, the gateway dynamically scales concurrent request slots based on measured latency queue sizes. It auto-throttles requests during model spikes to prevent local GPU OOMs.</p>
                    </div>
                    <div class="sub-card">
                        <h3>2. Self-Healing Circuit Breaker</h3>
                        <p>Monitors consecutive timeouts and error codes. Transitions from <strong>CLOSED</strong> to <strong>OPEN</strong> upon 5 consecutive failures, bypassing degraded local nodes to fallback cloud targets instantly, recovering automatically via <strong>HALF-OPEN</strong> testing.</p>
                    </div>
                </div>
            </div>
        </div>

        <!-- Tab 5: Playground -->
        <div id="playground" class="tab-content">
            <div class="glass-card">
                <h2>🎮 Interactive Gateway Sandbox (Client-Side Simulator)</h2>
                <p>Play with all 9 academic routing policies directly in your browser. This sandbox simulates prefix cache check, Vegas limiter slots, RouteLLM Bradley-Terry勝率 matching, R2-Router word restraints, and Router-R1 agentic draft correction.</p>
                
                <div class="playground-grid">
                    <!-- Left: Interactive Chat -->
                    <div class="playground-main-panel">
                        <div class="playground-header">
                            <span style="font-weight:700; font-family:var(--font-outfit);">Sandbox Panel</span>
                            <div class="playground-controls">
                                <select id="pgPolicySelect" class="playground-select" onchange="onPgPolicyChange(this.value)">
                                    <option value="frugalgpt">🔄 Stanford FrugalGPT Cascade</option>
                                    <option value="routerbench">🎯 Martian RouterBench Utility</option>
                                    <option value="hybrid_llm">⚡ IBM Hybrid LLM Difficulty</option>
                                    <option value="routellm">🧠 LMSYS RouteLLM Preference</option>
                                    <option value="equirouter">⚖️ EquiRouter Decision-Aware MLP</option>
                                    <option value="r2_router">📏 R2-Router Length Constrained</option>
                                    <option value="router_r1">🤖 Router-R1 Multi-Round Agentic</option>
                                    <option value="routing_survey">📋 Unified Routing Survey</option>
                                    <option value="zero">🎲 Zero Router Baseline</option>
                                </select>
                            </div>
                        </div>
                        
                        <div class="playground-chat-history" id="pgChatHistory">
                            <div class="playground-bubble assistant">
                                System initialized. Select any of the 9 academic routing policies from the dropdown above and send a message. The gateway pipeline visualizer and metrics will update in real-time.
                            </div>
                        </div>
                        
                        <div class="playground-input-row">
                            <textarea id="pgPromptInput" class="playground-textarea" placeholder="Type a message to route... (e.g. 'Solve for x: 5x - 15 = 20' or 'def is_prime(n):')"></textarea>
                            <button class="playground-send-btn" onclick="sendPgMessage()">Send</button>
                        </div>
                    </div>
                    
                    <!-- Right: Dashboard & Visualizer -->
                    <div class="playground-sidebar">
                        <div class="playground-wallet">
                            <span style="font-size:0.85rem; color:var(--text-secondary); font-weight:500;">Trial Wallet Balance:</span>
                            <div style="display:flex; align-items:center; gap:0.5rem;">
                                <span id="pgWalletBalance" style="color:var(--accent-emerald); font-weight:700; font-size:1.1rem;">$5.00</span>
                                <button class="playground-wallet-recharge" onclick="rechargePgWallet()">+ $10</button>
                            </div>
                        </div>
                        
                        <div class="playground-metrics-grid">
                            <div class="playground-metric-card">
                                <span class="playground-metric-label">Estimated Savings</span>
                                <span class="playground-metric-val" id="pgSavingsVal">$0.00</span>
                            </div>
                            <div class="playground-metric-card">
                                <span class="playground-metric-label">Tokens Saved</span>
                                <span class="playground-metric-val" id="pgTokensVal">0</span>
                            </div>
                            <div class="playground-metric-card">
                                <span class="playground-metric-label">Last TTFT</span>
                                <span class="playground-metric-val" id="pgTtftVal">0 ms</span>
                            </div>
                            <div class="playground-metric-card">
                                <span class="playground-metric-label">Cache Hit Rate</span>
                                <span class="playground-metric-val" id="pgCacheHitVal">0%</span>
                            </div>
                        </div>
                        
                        <div class="playground-pipeline">
                            <h3 style="font-size:0.95rem; font-family:var(--font-outfit); display:flex; justify-content:space-between; align-items:center; margin-bottom:0.25rem;">
                                <span>🚀 Gateway Pipeline Visualizer</span>
                                <span id="pgPipelineStatus" style="font-size:0.75rem; font-weight:600; color:var(--text-secondary);">IDLE</span>
                            </h3>
                            <div class="playground-pipeline-flow">
                                <div class="playground-pipeline-step" id="pgStep_cache">
                                    <div class="step-name">1. Exact & Prefix Cache Check</div>
                                    <div class="step-desc" id="pgStepDesc_cache">Checking Redis caches (Radix Trie check)</div>
                                </div>
                                <div class="playground-pipeline-step" id="pgStep_limiter">
                                    <div class="step-name">2. Vegas Concurrency Limiter</div>
                                    <div class="step-desc" id="pgStepDesc_limiter">Validating slot queue depth</div>
                                </div>
                                <div class="playground-pipeline-step" id="pgStep_routing">
                                    <div class="step-name">3. Routing Decision Engine</div>
                                    <div class="step-desc" id="pgStepDesc_routing">Evaluating policy formula</div>
                                </div>
                                <div class="playground-pipeline-step" id="pgStep_exec">
                                    <div class="step-name">4. Verification & Output Judge</div>
                                    <div class="step-desc" id="pgStepDesc_exec">Running syntactic & loop validation</div>
                                </div>
                            </div>
                        </div>
                    </div>
                </div>
            </div>
        </div>

    </div>

    <script>
        function switchTab(event, tabId) {
            // Hide all tabs
            const tabContents = document.getElementsByClassName("tab-content");
            for (let content of tabContents) {
                content.classList.remove("active");
            }
            
            // Remove active style from buttons
            const tabButtons = document.getElementsByClassName("tab-btn");
            for (let btn of tabButtons) {
                btn.classList.remove("active");
            }
            
            // Show target tab
            document.getElementById(tabId).classList.add("active");
            event.currentTarget.classList.add("active");
        }

        function updateSimTau(val) {
            document.getElementById("simTauVal").innerText = parseFloat(val).toFixed(2);
        }

        // ── Interactive Playground Simulation Engine ──
        const COSTS = { ollama: 0.0001, vllm: 0.0002, gemini: 0.0015, openai: 0.0030 };
        let pgWallet = 5.00;
        let pgSavings = 0.00;
        let pgTokensSaved = 0;
        let pgCacheHits = 0;
        let pgTotalReqs = 0;
        let pgSentPrompts = new Set();
        let pgIsProcessing = false;

        function rechargePgWallet() {
            pgWallet += 10.00;
            document.getElementById("pgWalletBalance").innerText = "$" + pgWallet.toFixed(2);
            appendSystemMessage("Wallet recharged with $10.00. New balance: $" + pgWallet.toFixed(2));
        }

        function onPgPolicyChange(policy) {
            appendSystemMessage(`Selected Routing Policy: ${policy.toUpperCase()}`);
        }

        function appendSystemMessage(text) {
            const chatHistory = document.getElementById("pgChatHistory");
            const bubble = document.createElement("div");
            bubble.className = "playground-bubble assistant";
            bubble.style.borderStyle = "dashed";
            bubble.style.borderColor = "rgba(139, 92, 246, 0.3)";
            bubble.innerText = `⚙️ [SYSTEM LOG] ${text}`;
            chatHistory.appendChild(bubble);
            chatHistory.scrollTop = chatHistory.scrollHeight;
        }

        function appendChatBubble(role, text) {
            const chatHistory = document.getElementById("pgChatHistory");
            const bubble = document.createElement("div");
            bubble.className = `playground-bubble ${role}`;
            bubble.innerText = text;
            chatHistory.appendChild(bubble);
            chatHistory.scrollTop = chatHistory.scrollHeight;
            return bubble;
        }

        function resetPipelineSteps() {
            const steps = ["cache", "limiter", "routing", "exec"];
            steps.forEach(s => {
                const el = document.getElementById(`pgStep_${s}`);
                el.className = "playground-pipeline-step";
            });
            document.getElementById("pgStepDesc_cache").innerText = "Checking Redis caches (Radix Trie check)";
            document.getElementById("pgStepDesc_limiter").innerText = "Validating slot queue depth";
            document.getElementById("pgStepDesc_routing").innerText = "Evaluating policy formula";
            document.getElementById("pgStepDesc_exec").innerText = "Running syntactic & loop validation";
        }

        function setPipelineStepState(step, state, descText) {
            const el = document.getElementById(`pgStep_${step}`);
            el.className = `playground-pipeline-step ${state}`;
            if (descText) {
                document.getElementById(`pgStepDesc_${step}`).innerText = descText;
            }
        }

        function sendPgMessage() {
            if (pgIsProcessing) return;
            
            const promptInput = document.getElementById("pgPromptInput");
            const promptText = promptInput.value.trim();
            if (!promptText) return;

            pgIsProcessing = true;
            promptInput.value = "";
            pgTotalReqs++;

            // Append user bubble
            appendChatBubble("user", promptText);
            resetPipelineSteps();

            document.getElementById("pgPipelineStatus").innerText = "PROCESSING";
            document.getElementById("pgPipelineStatus").style.color = "var(--accent-violet)";

            // Step 1: Cache check after 400ms
            setTimeout(() => {
                setPipelineStepState("cache", "active");
                
                const isCacheHit = pgSentPrompts.has(promptText.toLowerCase());
                pgSentPrompts.add(promptText.toLowerCase());

                setTimeout(() => {
                    if (isCacheHit) {
                        setPipelineStepState("cache", "success", "Cache HIT (Exact match in Redis in 1ms)");
                        pgCacheHits++;
                        document.getElementById("pgCacheHitVal").innerText = Math.round((pgCacheHits / pgTotalReqs) * 100) + "%";
                        document.getElementById("pgTtftVal").innerText = "1 ms";
                        
                        // Stream response immediately
                        const cachedResponse = `[CACHE HIT] The answer to your query: "${promptText}" is already cached in Redis memory.`;
                        const bubble = appendChatBubble("assistant", "");
                        streamTextIntoBubble(bubble, cachedResponse, () => {
                            finalizeRequest(0.00, 100, 1.0);
                        });
                    } else {
                        setPipelineStepState("cache", "success", "Cache MISS (Checking suffix tries... no match)");
                        
                        // Step 2: Limiter check
                        setTimeout(() => {
                            setPipelineStepState("limiter", "active");
                            setTimeout(() => {
                                setPipelineStepState("limiter", "success", "Slot Acquired (Adaptive slots = 12/32)");
                                
                                // Step 3: Routing
                                setTimeout(() => {
                                    setPipelineStepState("routing", "active");
                                    const policy = document.getElementById("pgPolicySelect").value;
                                    const decision = makeRoutingDecision(promptText, policy);
                                    
                                    setTimeout(() => {
                                        setPipelineStepState("routing", "success", decision.reason);
                                        
                                        // Step 4: Execution
                                        setTimeout(() => {
                                            setPipelineStepState("exec", "active");
                                            executeModelQuery(promptText, decision);
                                        }, 600);
                                    }, 800);
                                }, 500);
                            }, 500);
                        }, 400);
                    }
                }, 500);
            }, 300);
        }

        function makeRoutingDecision(prompt, policy) {
            const promptLower = prompt.toLowerCase();
            const words = promptLower.split(" ");
            const hasCode = promptLower.includes("def ") || promptLower.includes("function") || promptLower.includes("{") || promptLower.includes("code");
            const hasMath = promptLower.includes("solve") || promptLower.includes("calculate") || promptLower.includes("math") || promptLower.includes("=") || promptLower.includes("+");
            const hasJson = promptLower.includes("json") || promptLower.includes("schema") || promptLower.includes("extract");

            let backend = "vllm";
            let reason = "";
            let r2Active = false;
            let r1Active = false;
            let cascadeActive = false;

            if (policy === "frugalgpt" || policy === "cascade") {
                cascadeActive = true;
                backend = hasCode || hasMath ? "openai" : "vllm";
                reason = `FrugalGPT sequential cascade resolved. Primary target: ${backend}`;
            } else if (policy === "hybrid_llm") {
                backend = (hasCode || hasMath || hasJson) ? "openai" : "vllm";
                reason = `Hybrid LLM difficulty split: '${backend}' (Hard Task = ${hasCode || hasMath || hasJson})`;
            } else if (policy === "routellm") {
                const prob = hasMath ? 0.88 : (hasCode ? 0.76 : 0.32);
                backend = prob >= 0.5 ? "openai" : "vllm";
                reason = `RouteLLM Win rate = ${prob.toFixed(2)}. Selected: ${backend}`;
            } else if (policy === "equirouter") {
                backend = hasCode ? "vllm" : (hasMath ? "openai" : "gemini");
                reason = `EquiRouter Decision-Aware MLP recommended: ${backend}`;
            } else if (policy === "r2_router") {
                r2Active = true;
                backend = (hasCode || hasMath) ? "openai" : "gemini";
                reason = `R2-Router selected '${backend}' with output brevity constraints`;
            } else if (policy === "router_r1") {
                r1Active = true;
                backend = "vllm";
                reason = `Router-R1 agentic drafting mode triggered on '${backend}'`;
            } else if (policy === "routing_survey") {
                backend = hasCode ? "vllm" : "openai";
                reason = `Routing Survey pre-generation prediction: ${backend}`;
            } else if (policy === "zero") {
                backend = Math.random() < 0.5 ? "openai" : "ollama";
                reason = `Zero Router mixture baseline selected: ${backend}`;
            } else {
                // routerbench
                backend = hasCode ? "vllm" : (hasMath ? "openai" : "ollama");
                reason = `RouterBench utility scoring recommended: ${backend}`;
            }

            return { backend, reason, r2Active, r1Active, cascadeActive };
        }

        function executeModelQuery(prompt, decision) {
            const promptLower = prompt.toLowerCase();
            const hasMath = promptLower.includes("solve") || promptLower.includes("calculate") || promptLower.includes("math") || promptLower.includes("=");
            const hasCode = promptLower.includes("def ") || promptLower.includes("function") || promptLower.includes("{");

            let ttft = 450;
            let cost = COSTS[decision.backend] || 0.0002;
            let completionText = "";
            let tokens = 120;

            if (decision.backend === "openai" || decision.backend === "gemini") {
                ttft = decision.backend === "openai" ? 650 : 380;
                tokens = 150;
                cost = decision.backend === "openai" ? 0.0030 : 0.0015;
                
                if (hasMath) {
                    completionText = "To solve 5x - 15 = 20, we isolate x step-by-step:\n1. Add 15 to both sides: 5x = 35\n2. Divide both sides by 5: x = 7.\nThe final value of x is 7.";
                } else if (hasCode) {
                    completionText = "def is_prime(n):\n    if n <= 1:\n        return False\n    for i in range(2, int(n**0.5) + 1):\n        if n % i == 0:\n            return False\n    return True";
                } else {
                    completionText = "Large language models can be routed dynamically to save API costs. I am running on a premium cloud model to provide maximum quality response.";
                }
            } else {
                // Local vllm/ollama
                ttft = decision.backend === "vllm" ? 180 : 90;
                tokens = 85;
                cost = decision.backend === "vllm" ? 0.0002 : 0.0001;
                
                if (hasCode) {
                    completionText = "def is_prime(n):\n    # Local model fast check\n    return n > 1 and all(n % i for i in range(2, int(n**0.5) + 1))";
                } else {
                    completionText = "Hello! I am a lightweight local model running on-device. Since this is an easy task, I was selected to save cost and reduce latency.";
                }
            }

            // Adjust parameters if R2-Router is active
            if (decision.r2Active) {
                cost = cost * 0.4; // saves 60% completion tokens
                tokens = Math.round(tokens * 0.4);
                completionText = "Result: x = 7 (brevity constraint active).";
            }

            document.getElementById("pgTtftVal").innerText = ttft + " ms";

            // If Router-R1 multi-round is active
            if (decision.r1Active) {
                // Simulates draft generation failure, then escalation correction!
                setPipelineStepState("exec", "warning", "Draft failing validation score (0.42 < 0.8). Escalating to Cloud...");
                
                setTimeout(() => {
                    const bubble = appendChatBubble("assistant", "");
                    let thinkingText = "<think>\nRound 1: Draft response by vllm failed code validator check.\nRound 2: Escalated correction payload to OpenAI GPT-4o-mini.\n</think>\n";
                    let correctionText = "def is_prime(n):\n    if n <= 1:\n        return False\n    for i in range(2, int(n**0.5) + 1):\n        if n % i == 0:\n            return False\n    return True";
                    
                    streamTextIntoBubble(bubble, thinkingText + correctionText, () => {
                        setPipelineStepState("exec", "success", "Escalation corrected & validated (Pass)");
                        finalizeRequest(COSTS["vllm"] + COSTS["openai"], tokens + 50, ttft + 800);
                    });
                }, 600);
            } else {
                // Normal streaming
                const bubble = appendChatBubble("assistant", "");
                streamTextIntoBubble(bubble, completionText, () => {
                    setPipelineStepState("exec", "success", "Response generated and validated (Pass)");
                    finalizeRequest(cost, tokens, ttft);
                });
            }
        }

        function streamTextIntoBubble(bubble, fullText, callback) {
            let idx = 0;
            const words = fullText.split(" ");
            
            function streamNext() {
                if (idx < words.length) {
                    bubble.innerText += (idx === 0 ? "" : " ") + words[idx];
                    idx++;
                    const chatHistory = document.getElementById("pgChatHistory");
                    chatHistory.scrollTop = chatHistory.scrollHeight;
                    setTimeout(streamNext, 40);
                } else {
                    if (callback) callback();
                }
            }
            streamNext();
        }

        function finalizeRequest(cost, tokens, ttft) {
            // Deduct wallet
            pgWallet = Math.max(0.00, pgWallet - cost);
            document.getElementById("pgWalletBalance").innerText = "$" + pgWallet.toFixed(2);

            // Compute savings vs OpenAI base ($0.0030)
            const baseCost = 0.0030;
            const saved = Math.max(0.0, baseCost - cost);
            pgSavings += saved;
            document.getElementById("pgSavingsVal").innerText = "$" + pgSavings.toFixed(4);

            // Increment tokens saved if routed to local model or cache
            if (cost < 0.0015) {
                pgTokensSaved += tokens;
                document.getElementById("pgTokensVal").innerText = pgTokensSaved;
            }

            document.getElementById("pgCacheHitVal").innerText = Math.round((pgCacheHits / pgTotalReqs) * 100) + "%";

            // Idle pipeline status
            document.getElementById("pgPipelineStatus").innerText = "COMPLETED";
            document.getElementById("pgPipelineStatus").style.color = "var(--accent-emerald)";
            pgIsProcessing = false;
        }

        // Live Stepper Simulation Code
        const simulatedOutputs = {
            math: [
                { backend: 'ollama', output: '5', score: 0.0 },
                { backend: 'vllm', output: '6', score: 0.0 },
                { backend: 'openai', output: '7', score: 1.0 }
            ],
            code: [
                { backend: 'ollama', output: 'def quicksort(arr): return arr', score: 0.3 },
                { backend: 'vllm', output: 'def quicksort(arr):\n  if len(arr) <= 1: return arr\n  pivot = arr[0]...', score: 0.8 },
                { backend: 'openai', output: 'def quicksort(arr):\n  if len(arr) <= 1: return arr\n  pivot = arr[len(arr)//2]\n  ...', score: 1.0 }
            ],
            greeting: [
                { backend: 'ollama', output: 'Hello there!', score: 0.9 },
                { backend: 'vllm', output: 'Hello! How can I help you today?', score: 1.0 },
                { backend: 'openai', output: 'Greetings! I am here to assist you.', score: 1.0 }
            ]
        };

        let simInterval = null;

        function runSimulation() {
            if (simInterval) clearInterval(simInterval);
            
            const tau = parseFloat(document.getElementById("simTauSlider").value);
            const queryType = document.getElementById("simQueryType").value;
            const steps = simulatedOutputs[queryType];
            const consoleBox = document.getElementById("simConsole");
            
            consoleBox.innerHTML = "Starting cascade routing simulation...<br>";
            
            // Reset nodes
            const backends = ['ollama', 'vllm', 'openai'];
            backends.forEach(b => {
                const node = document.getElementById(`simNode_${b}`);
                const badge = document.getElementById(`simBadge_${b}`);
                const outputDiv = document.getElementById(`simOutput_${b}`);
                
                node.className = "sim-step-node";
                badge.innerText = "Pending";
                badge.className = "node-badge";
                outputDiv.innerText = "Waiting to run...";
            });

            let stepIdx = 0;
            
            function executeStep() {
                if (stepIdx >= steps.length) {
                    consoleBox.innerHTML += "Cascade completed. All models evaluated.<br>";
                    return;
                }
                
                const step = steps[stepIdx];
                const node = document.getElementById(`simNode_${step.backend}`);
                const badge = document.getElementById(`simBadge_${step.backend}`);
                const outputDiv = document.getElementById(`simOutput_${step.backend}`);
                
                // Set node active
                node.className = "sim-step-node active";
                badge.innerText = "Running...";
                consoleBox.innerHTML += `Querying backend: ${step.backend.toUpperCase()}...<br>`;
                
                setTimeout(() => {
                    outputDiv.innerText = step.output;
                    const score = step.score;
                    const accepted = score >= tau;
                    
                    consoleBox.innerHTML += `-> ${step.backend.toUpperCase()} output score: ${score.toFixed(2)} (Threshold: ${tau.toFixed(2)})<br>`;
                    
                    if (accepted || stepIdx === steps.length - 1) {
                        node.className = "sim-step-node accepted";
                        badge.innerText = accepted ? "Accepted" : "Terminal Accept";
                        consoleBox.innerHTML += `✔ [ACCEPTED] Cascade stopped at tier: ${step.backend.toUpperCase()}<br>`;
                    } else {
                        node.className = "sim-step-node escalated";
                        badge.innerText = "Escalated";
                        consoleBox.innerHTML += `❌ [ESCALATED] Score ${score.toFixed(2)} < Threshold ${tau.toFixed(2)}. Escalating...<br>`;
                        stepIdx++;
                        executeStep();
                    }
                }, 1000);
            }
            
            executeStep();
        }
    </script>
</body>
</html>