File size: 64,007 Bytes
a6daeb8
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
1
00:00:21,410 --> 00:00:24,030
ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡

2
00:00:24,030 --> 00:00:27,550
ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงุญู†ุง ุจู†ุจุฏุฃ ููŠ ุงู„ chapter

3
00:00:27,550 --> 00:00:30,990
ุฑู‚ู… ุฃุฑุจุนุฉ ุงู„ู„ูŠ ู‡ูˆ syntax analysis ููŠ ุงู„ syntax

4
00:00:30,990 --> 00:00:35,070
analysis ุชุฑูƒูŠุฒู†ุง ู‡ูŠูƒูˆู† ุนู„ู‰ ุงู„ู…ู‡ุงู… ุงู„ู„ูŠ ุจูŠุณูˆูŠู‡ุง ู„ูƒู…

5
00:00:35,070 --> 00:00:40,330
ุงู„ parser ุงู„ู„ูŠ ู‡ูˆ ุงู„ syntax analyzer ููŠ ุงู„ุจุฏุงูŠุฉ

6
00:00:40,330 --> 00:00:44,110
ู‡ูŠูƒูˆู† ููŠู‡ุง ู„ู†ุง ุฎู„ูŠู†ุง ู†ุทู„ุน ุนู„ู‰ ุงู„ table of contents

7
00:00:44,110 --> 00:00:47,530
ููŠู‡ุง ู„ู†ุง discussion ูƒุชูŠุฑุฉ ููŠ ุงู„ chapter ู‡ู†ุง ููŠ

8
00:00:47,530 --> 00:00:50,750
ุฃุฑุจุน ูˆุงุญุฏ introductionุฃุฑุจุนุฉ ุงุชู†ูŠู† context free

9
00:00:50,750 --> 00:00:53,830
grammars ูˆุจุชุนุฑู ุนู„ู‰ ุงู„ grammar ูˆุจุนุฏ ุฐู„ูƒ ุฃุฑุจุนุฉ

10
00:00:53,830 --> 00:00:57,310
ุชู„ุงุชุฉ writing a grammar ู†ุดูˆู ุนู…ู„ูŠุฉ ูƒุชุงุจุฉ ุงู„

11
00:00:57,310 --> 00:01:02,470
grammar ู„ุฃูŠ ู„ุบุฉ ุงุญู†ุง ุจุฏู†ุง ุฅูŠุงู‡ุง ุฅูŠุด ู…ู…ูƒู† ุฃู…ูˆุฑ

12
00:01:02,470 --> 00:01:08,020
ุชูˆุฌู‡ู†ุง ู…ุดุงูƒู„ ู†ุชุนุงู…ู„ ู…ุนุงู‡ุงุจุนุฏ ุฐู„ูƒ ู†ุดูˆู ุนู…ู„ูŠุฉ ุงู„

13
00:01:08,020 --> 00:01:13,680
parsing ูŠุนู†ูŠ ุงู„ parser ุฅูŠุด ุจูŠุณูˆูŠ ููŠ ุดุบู„ู‡ ูƒ

14
00:01:13,680 --> 00:01:18,360
analyzer ูŠุญู„ู„ ู„ู…ุง ุจูŠุฌูŠ ูŠุญู„ู„ ุงู„ input ุจู†ุงุก ุนู„ู‰ ุงู„

15
00:01:18,360 --> 00:01:23,280
grammar ุงู„ู„ูŠ ุงุญู†ุง ูƒุชุจู†ุงู‡ุง ู…ู…ูƒู† ูŠุนู…ู„ ุงู„ูƒู„ุงู… ู‡ุฐุง top

16
00:01:23,280 --> 00:01:26,680
-down ุฃูˆ bottom-up ูˆ ู†ุดูˆู ุฅูŠุด ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุฅุชู†ูŠู†

17
00:01:26,680 --> 00:01:32,720
ุจุนุฏ ุฐู„ูƒ introduction to LR parsing simple LR ูˆู‡ุฐุง

18
00:01:32,720 --> 00:01:36,810
ู…ุชู‚ุงู„ ุนู„ูŠู‡ู„ูƒู† ู…ู† ุจุนุฏ ู‡ูŠูƒ ุงู„ more powerful ุงู„ are

19
00:01:36,810 --> 00:01:41,490
parts ุฑุณู…ูŠ ู…ุด ู‡ูŠุถู„ ู…ุนุงู†ุง ูˆุฌุฏ ุงู† ู†ูƒู…ู„ ููŠู‡ุง ู .. ูˆ

20
00:01:41,490 --> 00:01:45,510
ูƒุฏู‡ ูƒุงู„ุญุงู„ ุงู„ .. ุงู„ succession ุงู„ู„ูŠ ุจุนุฏ ู„ุฅู†ู‡ ุจุฏู†ุง

21
00:01:45,510 --> 00:01:51,050
ุงู„ู„ูŠ ู‡ูˆ ู†ุฏุฎู„ ุนู„ู‰ ุงู„ generation ุงู„ code generation

22
00:01:51,050 --> 00:01:55,890
ูุงุญู†ุง ุนู…ู„ูŠุง ุฃุตุจุญ ุจุฏู†ุง .. ุจุฏู†ุง ุงู„ introduction ุจุฏู†ุง

23
00:01:55,890 --> 00:01:59,270
ุงู„ุฃุฑุจุนุฉ ุงุชู†ูŠู† context free grammars ูˆ ุจุฏู†ุง writing

24
00:01:59,270 --> 00:02:01,510
grammars ูˆ ุจุนุฏูŠู† ุงู„ top down parsing ูˆ ุงู„ bottom

25
00:02:01,510 --> 00:02:06,820
up ูˆ ุงู„ are parsingุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุฑุจู…ุง ู†ู‚ุฏุฑ

26
00:02:06,820 --> 00:02:12,540
ู†ุถุทุฑูŠ one ูˆ two ูˆ ุงุชู†ูŠู† ูˆ ู†ุจุฏุฃ ููŠ ุงุฑุจุนุฉ ุชู„ุงุชุฉ ุงูŠุถุง

27
00:02:12,540 --> 00:02:20,500
ุทูŠุจ ุงุฑุจุนุฉ ูˆุงุญุฏ ู‡ูˆ ุงู„ introduction ููŠ

28
00:02:20,500 --> 00:02:25,500
ุงู„ slide ู‡ุฐู‡ ู…ุด ุญุงุฌุฉ ููŠ ุนู†ุฏู‡ุง ูƒุชูŠุฑ ุจุณ ู†ู‚ุงุท ุงู„ู„ูŠ

29
00:02:25,500 --> 00:02:30,460
ุจุชุฏู„ู„ ุนู„ู‰ ุงูˆ ุจุชุฑูƒุฒ ุนู„ู‰ ุงู‡ู…ูŠุฉ ูˆุฌูˆุฏ ุงู„ grammarุทุจุนุง

30
00:02:30,460 --> 00:02:34,380
ุงู„ grammar ู…ุด ู…ู†ู‡ ุงูŠุด ุงู‡ู…ูŠุชู‡ุง ูˆู…ุด ุงู‡ู…ูŠุชู‡ุง ุงู„

31
00:02:34,380 --> 00:02:39,940
grammar ู‡ูŠ ูˆุณูŠู„ุชู†ุง ุงู„ูˆุญูŠุฏุฉ ู„ุฅู†ู‡ ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง

32
00:02:39,940 --> 00:02:46,440
parser parser ุจุฏูˆู† grammar ุจูŠุตูŠุฑ ุงู„ุญูƒุงูŠุฉ ุจูŠุจู†ูŠ ุงู„

33
00:02:46,440 --> 00:02:50,520
compiler ุจูŠุตูŠุฑ ูŠุจู†ูŠ ุนู„ู‰ ูƒูŠูู‡ ุงู†ู…ุง ู„ู…ุง ูŠูƒูˆู† ููŠ

34
00:02:50,520 --> 00:02:54,340
grammar ุงู„ grammar ุจูŠุตูŠุฑ ุงู„ุขู† ู‡ูŠ ุงู„ู„ูŠ ุจุชุญูƒู… ุนู…ู„ูŠุฉ

35
00:02:54,340 --> 00:02:58,500
ุจู†ุงุก ุงู„ parser ูˆุงุญู†ุง ุฒูŠ ู…ุง ุดูˆูู†ุง ููŠ ุงู„ lexical

36
00:02:58,500 --> 00:03:04,130
analysisุงู„ regular expressions ู‡ูŠ ุงู„ุฃุณุงุณ ู„ุจู†ุงุก

37
00:03:04,130 --> 00:03:08,330
ุงู„ู„ูŠ ู‡ูˆ ุงู„ finite automata ูˆุจุนุฏ ุฐู„ูƒ ุงู„ finite

38
00:03:08,330 --> 00:03:12,030
automata ู‡ูŠ ุฃุณุงุณ ุงู„ุจู†ุงุก ู„ู„ lexical analyzer ู†ูุณู‡

39
00:03:12,030 --> 00:03:17,490
ูˆู‡ู†ุง ู†ูุณ ุงู„ุดูŠุก ุงู„ grammar ู‡ูŠ ุฃุณุงุณ ู„ุจู†ุงุก ุงู„ parser

40
00:03:23,560 --> 00:03:27,560
ุงู„ุฏูˆุฑ ุงู„ role of the parser ูˆุงุถุญ ุงู† ู‡ูˆ ุจูŠุณุชู„ู… ุงู„

41
00:03:27,560 --> 00:03:31,920
tokens ู…ู† ุงู„ lexical analyzer ุงู„ู„ูŠ ุจูŠุงุฎุฏ ุงู„ source

42
00:03:31,920 --> 00:03:37,420
program ูˆ ุจูŠุณู„ู… tokens ู„ู„ parser ุงู„ parser ุจูŠุดุชุบู„

43
00:03:37,420 --> 00:03:43,860
ูˆ ุจูŠุจู†ูŠ parse tree ุงู„ู„ูŠ ุจุชุฑูˆุญ ุจุนุฏ ู‡ูŠูƒ ุงู„ next ุฃูˆ

44
00:03:43,860 --> 00:03:48,260
ุชู…ุงู… ุงู„ role of the parser ุงู† ู‡ูˆ ุจูŠุงุฎุฏ ู…ู† ุงู„

45
00:03:48,260 --> 00:03:52,720
lexical analyzer ู„ูˆูƒ ุงู„ tokensูˆ ุจูŠุณู„ู… part3

46
00:03:52,720 --> 00:03:57,160
ู„ู„ู…ุฑุงุญู„ ุงู„ู„ุงุญู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ ุจุงู„ุฃุณุงุณ ููŠ ุนู†ุฏูƒ ุงู„

47
00:03:57,160 --> 00:04:01,840
semantic analysis ูˆ ุซู… ู„ุงุญู‚ุง ุงู„ code generation ูˆ

48
00:04:01,840 --> 00:04:08,300
ู‡ุฐุง ุฏูˆุฑู‡ ุจูŠู‚ูˆู… ุจุงู„ุชุฒุงูˆุฌ ู…ุน ุงู„ lexical analyzer ู„ุฃู†

49
00:04:08,300 --> 00:04:14,260
ู‡ูˆ ุจูŠุงุฎุฏ ูƒู„ token ุจูŠุญุชุงุฌู‡ ูˆ ุจูŠุทู„ุจ ู…ุทุงู„ุจ ู…ู† ุงู„

50
00:04:14,260 --> 00:04:18,080
lexical analyzer ุจูŠุฑูˆุญ ูŠุฌูŠุจ ูˆ ูŠุนุทูŠู‡ูƒุฐู„ูƒ ุงู„ุญุงู„ุฉ

51
00:04:18,080 --> 00:04:21,340
ุงู„ู„ูŠ ุจุญุชุงุฌ Attributes Attributes ุนู† ู‡ุฐุง ุงู„ู€ token

52
00:04:21,340 --> 00:04:27,280
ุจูŠุฑูˆุญ ูˆ ุจุฌูŠุจู‡ุง ู…ู† ุงู„ู€ symbol table ูู‡ูˆ ุจูŠุงุฎุฏ ู…ู†ู‡ ูˆ

53
00:04:27,280 --> 00:04:31,520
ุจูŠุนุทูŠ ู„ู‡ ุฃูŠุถุง ุงู„ symbol table ูุงู„ุฏูˆุฑ ุงู„ุฃุณุงุณูŠ ุงู„

54
00:04:31,520 --> 00:04:36,180
role of the parser ุงู† ู‡ูˆ ูŠุชุญู‚ู‚ ู…ู† ุงูŠุด ู‡ุฐู‡ ุงู„

55
00:04:36,180 --> 00:04:39,860
tokens ุงู„ string of tokens ุงู„ู„ูŠ ุจูŠุฌูŠู„ู‡ ู…ู† ุงู„

56
00:04:39,860 --> 00:04:45,800
lexical analyzer ูˆ ูŠุชุฃูƒุฏ ุงู† ู‡ุฐุง ุงู„ุชุณู„ุณู„ ูุนู„ุง ูŠุดูƒู„

57
00:04:45,800 --> 00:04:51,000
ุฌู…ู„ุฉู…ู† ุฌู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ grammar ุจู…ุนู†ู‰ ุงู†ู‡ ู‡ุฐูŠ

58
00:04:51,000 --> 00:04:57,940
syntactically ุณู„ูŠู…ุง ูู‡ูˆ verifies that the string

59
00:04:57,940 --> 00:05:03,380
of tokens ุฃูˆ token names can be generated by the

60
00:05:03,380 --> 00:05:06,540
grammar can be generated by the grammar ูู†ู‚ูˆู„ can

61
00:05:06,540 --> 00:05:08,760
be generated by the grammar ู‡ูˆ ุฃุตู„ุง string of

62
00:05:08,760 --> 00:05:12,760
tokens ุฃุฌุง ู…ู† ุงู„ programmer ุจุณ ุงุญู†ุง ุจู†ู‚ูˆู„ can be

63
00:05:12,760 --> 00:05:15,900
generated by the grammar ู„ุฃู† ุนู…ู„ูŠุฉ ุงู„ verification

64
00:05:16,730 --> 00:05:21,250
ุชู†ุทูˆูŠ ุนู„ู‰ ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ grammar ุชูˆู„ุฏ ู†ูุณ ุงู„

65
00:05:21,250 --> 00:05:24,890
string ู‡ุฐุง ูŠุจู‚ู‰ ุงู„ string ู‡ุฐุง ุณู„ูŠู… ุฃุณู„ูˆุจู†ุง ููŠ

66
00:05:24,890 --> 00:05:29,430
ุงู„ุชุญู‚ู‚ ู…ู† ุณู„ุงู…ุฉ ุงู„ string of tokens ู‡ูˆ ุฃู† ู†ุดูˆู ู‡ู„

67
00:05:29,430 --> 00:05:33,190
ู„ูˆ ุงุญู†ุง ุจุฏุฃู†ุง ู…ู† ุงู„ start symbol ููŠ derivation

68
00:05:33,190 --> 00:05:38,380
ุชูˆุตู„ู†ุง ุฅู„ู‰ู†ูุณ ุงู„ู€ sequence of tokens ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ

69
00:05:38,380 --> 00:05:41,240
ู…ุนู„ูˆู…ุงุช ุนู† ุงู„ู€ sequence of tokens ู‡ุฐู‡ ุงู„ุชูŠ ุฃุชูŠุช ู…ู†

70
00:05:41,240 --> 00:05:46,040
ุงู„ู€ source ู‡ูŠ ุตุญูŠุญุฉ ู‡ุฐุง ุงู„ุฃุณุงุณ ุชุจู‚ู‰ to verify ุงู„ู€

71
00:05:46,040 --> 00:05:53,620
syntax ู‡ุฐุง ุฏูˆุฑ ุงู„ุฃุณุงุณูŠ ุงู„ุฏูˆุฑ ุงู„ุซุงู†ูˆูŠ ุงู„ู„ูŠ ู‡ูˆ ุฅู†ู‡

72
00:05:53,620 --> 00:05:57,960
ู„ูˆ ููŠ ู…ุดูƒู„ุฉ ู„ูˆ ุงู„ verification ู‡ุฐู‡ ู„ู… ุชุชูˆุงุญู‚ู‚ ูŠุจู‚ู‰

73
00:05:57,960 --> 00:06:03,900
ููŠ error ูุฏูˆุฑู‡ ุงู„ุชุงุจุน ุฅุฐุง ุฐู„ูƒ ูƒุงู† ุงู„ุฏูˆุฑ ุงู„ุฃุณุงุณูŠ

74
00:06:04,180 --> 00:06:08,580
ุงู„ุฏูˆุฑ ุงู„ุซุงู†ูŠ ู‡ูˆ to report ุงู„ errors ูŠุจู„ุบ ุนู† ุงู„

75
00:06:08,580 --> 00:06:13,240
errors any syntax errors ุตุญุŸ ู…ุงู„ูˆุด ุนู„ุงู‚ุฉ ุจุงู„

76
00:06:13,240 --> 00:06:18,220
lexical errors ุงูˆ ุงู„ semantic errors report any

77
00:06:18,220 --> 00:06:22,100
syntax errors ููŠ ู‡ุฐู‡ ุงู„ูˆุธูŠูุฉ ุฑู‚ู… ูˆุงุญุฏ ูˆ ู‡ุฐู‡

78
00:06:22,100 --> 00:06:26,220
ุงู„ูˆุธูŠูุฉ ุฑู‚ู… ุงุชู†ูŠู† to report ูˆุงู„ู„ู‡ ุงู† ูŠุจู„ุบ ุนู† error

79
00:06:26,220 --> 00:06:31,480
ุดูŠุก ูƒูˆูŠุณ ุงู„ุง ุงุญุณู† ู…ู† ุฐู„ูƒ ุงู†ู‡ ูŠุญุงูˆู„ to recover ุงู†ู‡

80
00:06:31,480 --> 00:06:35,940
ูŠุนุงู„ุฌ ู‡ุฐุง ุงู„ errorู‚ุฏุฑ ุงู„ู…ุตุทู„ุญ ุงู…ุง completely ุงูˆ

81
00:06:35,940 --> 00:06:40,160
partially ุตุญ ุงู„ู‰ ุงู„ุงู† ูˆู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุฑู‚ู… 3 to recover

82
00:06:40,160 --> 00:06:43,280
ูˆุงุถุญ

83
00:06:43,280 --> 00:06:46,640
ุฏูˆุฑ ุงู„ parser ุงู„ parser ุงู„ู„ูŠ ู‡ูˆ ุงู„ lexical ุงู„

84
00:06:46,640 --> 00:06:52,960
syntax analyzer ุฏูˆุฑ ุงู„ุฃุณุงุณูŠ to verify ุงู† ุงู„ tokens

85
00:06:52,960 --> 00:06:58,720
ู‡ุฏูˆู„ุฉ ุจู†ูŠุชู‡ู… ุณู„ูŠู…ุฉ ุงู„ syntax ุชุจุนู‡ู… ุณู„ูŠู… ุงุฐุง ููŠ

86
00:06:58,720 --> 00:07:02,120
error ุจูŠุนู…ู„ report ุงูˆ ุงุฐุง ุงูƒุชุฑ ู…ู† ุฐู„ูƒ ุจูŠุนู…ู„

87
00:07:02,120 --> 00:07:08,770
recoverูƒู„ู…ุฉ parser ูŠุนู†ูŠ ูƒู„ู…ุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุฎุชู„ูุฉ ุงู„

88
00:07:08,770 --> 00:07:15,390
parsers ูŠุนู…ู„ูˆุง ุดุบู„ู‡ู… ุงูˆ ูŠุชุตู„ููˆุง ุงู…ุง ุงู„ู‰ top-down

89
00:07:15,390 --> 00:07:18,610
ุงูˆ bottom-up ุงูˆ ุงู„ universal ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ู…ุณุชุฎุฏู…ุฉ

90
00:07:18,610 --> 00:07:22,890
ููŠ ุงู„ูƒู…ุจูŠูˆู‡ุงุช ูŠู…ูƒู† ุงู† ุชูƒูˆู† ุงูŠุถุง top-down ุงูˆ bottom

91
00:07:22,890 --> 00:07:26,970
-up top-down ุฒูŠ ู…ุง ุงุญู†ุง ุดูู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒุฉ ุงู„ู„ูŠ ู‡ูˆ

92
00:07:26,970 --> 00:07:31,110
ุจูŠุญุงูˆู„ ูŠุจู†ูŠ ุงู„ tree ู…ู† ุงู„ root ุงู„ root ุงู„ู„ูŠ ู‡ูˆ

93
00:07:31,110 --> 00:07:36,790
ุงูŠุดุŸstart symbol ุตุญ ู…ุด ุฌุฑุงู…ุฉ ููŠู‡ุง start symbol

94
00:07:36,790 --> 00:07:41,150
start symbol ู‡ูŠ ุฏู‡ ู‡ูˆ ุงู„ route ุงุฐุง ุฌุฏุฑ ูŠุจู†ูŠ tree

95
00:07:41,150 --> 00:07:46,610
ูŠุชุฑูŠู‡ุง ุงู„ leaves ุงุชุจุงุนูˆู†ู‡ุง ู…ุทุงุจู‚ูŠู† ู„ู„ tokens ุงู„ู„ูŠ

96
00:07:46,610 --> 00:07:51,270
ุฏุฎู„ูˆุง ูŠุจุฏุฃ ุงู„ tokens ุงู„ู„ูŠ ุฏุฎู„ูˆุง syntactically

97
00:07:51,270 --> 00:07:56,690
correct ู‡ุฐุง bottom up bottom ุฏู‡ ุงู„ุงุณูุฉ top down ุงู„

98
00:07:56,690 --> 00:07:59,650
bottom up ุงู„ู„ูŠ ู‡ูˆ ุจูŠุจุฏุฃ ู…ู† ุงู„ leaves ุจูŠุจู†ูŠ leave

99
00:07:59,650 --> 00:08:04,060
notes leave notesู‡ุฐู‡ ุงู„ tokens ุงู„ู„ูŠ ูˆุตู„ุชู‡ ุงู„ู„ูŠ

100
00:08:04,060 --> 00:08:09,920
ุฃุฎุฏุชู‡ ู„ู‡ ู‡ุฐุง ุงู„ token ูˆ ู‡ุฐุง ุงู„ token ุฑุจู…ุง ููŠ ููŠ ุงู„

101
00:08:09,920 --> 00:08:16,780
grammar ู…ุง ูŠุฏุนู… ุฃู†ู‡ ุฌูŠุชู‡ู… ูˆุฑุง ุจุนุถ ุซู… ุจุนุฏ ูƒู„ู…ุฉ ู‡ุฐุง

102
00:08:16,780 --> 00:08:21,500
ูˆุตูˆู„ุง ุฅู„ู‰ ู…ูŠู† ุฅู„ู‰ ุงู„ route ุงู„ู„ูŠ ู‡ูˆ ุงู„ start symbol

103
00:08:21,500 --> 00:08:26,530
ู‡ุฐุง bottom up ุงุณู…ู‡ ุงู„ุนูƒุณ ู…ู†ู‡ ุงู„ู„ูŠ ู‡ูˆ top downุดูˆูู†ุง

104
00:08:26,530 --> 00:08:30,990
ุงุญู†ุง top-down ู„ู…ุง ูƒู†ุง ุจู†ู‚ูˆู„ recursive descent ุงู„

105
00:08:30,990 --> 00:08:35,770
descent ู„ุญุงู„ู‡ุง ุจุชู‚ูˆู„ ุงู†ู‡ ู†ุฒูˆู„ ูŠุนู†ูŠ top-down ุตุญุŸ ุงู„

106
00:08:35,770 --> 00:08:39,630
universal ุงู„ู„ูŠ ู‡ูˆ ุงู„ parcel ุงู„ู„ูŠ ุจูŠุดุชุบู„ ุนู„ู‰

107
00:08:39,630 --> 00:08:42,950
ุงู„ูˆุฌู‡ูŠู† ูŠุนู†ูŠ ู…ู…ูƒู† ูŠุนู…ู„ bottom-up ูˆูŠู…ูƒู† ูŠุนู…ู„ top

108
00:08:42,950 --> 00:08:49,330
-down okayุŸ ุงู„ุงู† ู„ู…ุง ุงุญู†ุง ุจู†ุชุญูƒ ุนู† grammars ู‡ุงูŠ

109
00:08:49,330 --> 00:08:51,970
ุฃู…ุซู„ุฉ ู„ grammars ุดูˆูู†ุง ุงุญู†ุง ุฌุงู…ู„ู‡ ูƒุฃู…ุซู„ุฉ ู„

110
00:08:51,970 --> 00:08:57,390
grammarsูˆู‡ุฐุง ู…ุด ู…ุฎุชู„ู ุนู†ู‡ ุงู„ู„ู‡ู… ุฅูŠู‡ ู„ุฅู† ู‡ูˆ ุจูŠุณุชุฎุฏู…

111
00:08:57,390 --> 00:09:01,310
ุฃุญุฑู ุจุฏู„ ูŠุนู†ูŠ ู„ู„ non-terminals ูƒู†ุง ุฃุญู†ุง ุจู†ุดูˆู

112
00:09:01,310 --> 00:09:05,910
expression, term, factor ู…ุด ุนุงุฑู ุฅูŠุด ู‡ู†ุง ุฅูŠุด ุฃุญุฑู

113
00:09:05,910 --> 00:09:09,090
ูˆุญุชู‰ ุงู„ุฃู‚ุงุฑู ู„ุฅูŠู‡ ุงุฎุชุตุงุฑ ุงู„ expression ูˆ ุงู„ T ู„

114
00:09:09,090 --> 00:09:11,990
term ูˆ ุงู„ F ู„ factor ูˆ ุฃุจู‚ู‰ ุจูŠุญุตู„ ุงู„ุดุงู…ู„ ูุฅุญู†ุง

115
00:09:11,990 --> 00:09:17,210
ู‡ู†ุนุชุงุฏ ู…ู† ุงู„ุขู† ุจุตุงุนุฏู†ุง ุนู„ู‰ ุงุณุชุฎุฏุงู… letter names ู„ู„

116
00:09:17,210 --> 00:09:21,690
non-terminals okay

117
00:09:30,490 --> 00:09:35,190
ุงู„ุงู† ู…ุณุฃู„ุฉ ุงู„ error handling ุงุญู†ุง ุจู†ุนุฑู ุงู† ููŠ

118
00:09:35,190 --> 00:09:38,330
ู…ุณุชูˆุงุช ุงูˆ ุชุตู†ูŠูุงุช ู…ู† ุงู„ errors ููŠู‡ lexical errors

119
00:09:38,330 --> 00:09:42,830
ููŠู‡ syntax errors ููŠู‡ semantic errors ุงู„ lexical

120
00:09:42,830 --> 00:09:46,830
errors ุฒูŠ ุงูŠุดุŸ ูŠุนู†ูŠ ุงูŠุด ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฌุฏู‡ุง ุงู„

121
00:09:46,830 --> 00:09:50,520
lexical analyzerุŸ ู‡ูŠ ููŠ ุงู„ keywordsููŠ ุงู„ keywords

122
00:09:50,520 --> 00:09:53,840
ููŠ ุงู„ variable names ู„ุงุฌูŠ ุจ variable ุชู…ุงู… ุงู„

123
00:09:53,840 --> 00:09:57,080
semantic errors ุงู„ู„ูŠ ู‡ูŠ errors ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„

124
00:09:57,080 --> 00:10:01,320
type checking ู…ุซู„ุง ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ operator ุงูˆ

125
00:10:01,320 --> 00:10:06,540
function ูˆ ุงู„ function ู‡ุฐู‡ ู…ุนุฑูุฉ ุงู†ู‡ุง ุชุงุฎุฏ two

126
00:10:06,540 --> 00:10:09,860
variables ูˆ ุงู„ variables ู‡ุฏูˆู„ุฉ ูˆุงุญุฏ integer ูˆุงุญุฏ

127
00:10:09,860 --> 00:10:14,540
real ุชุนุทูŠู‡ุง ุงู„ุงุชู†ูŠู† real ู‡ุฐุง error ุตุญ ู„ุง ู‡ูˆ

128
00:10:14,540 --> 00:10:18,720
lexical ูˆู„ุง ู‡ูˆ syntax ู‡ุฐุง semantic ุชู…ุงู…ุบุงู„ุจุง ุจุญุงุฌุฉ

129
00:10:18,720 --> 00:10:23,560
ู†ู‚ูˆู„ semantic errors ุจู†ู‚ุต ุฑุฏ ุญุงุฌุงุชู‡ุง ุนู„ุงู‚ุฉ ุจุงู„type

130
00:10:23,560 --> 00:10:29,600
type mismatch ุนุฏู… ุชุทุงุจู‚ ุงู„ type ุงู„ู„ูŠ ุงู†ุง ุงุชุจุน ุงู„

131
00:10:29,600 --> 00:10:33,300
variables ุงู„ู„ูŠ ุงู†ุง ู…ุงุชูŠู‡ู… ู„ ุงู„ variables ุงู„ู…ุชูˆู‚ุนุฉ

132
00:10:33,300 --> 00:10:38,840
ุงู„ logical errors ุนุงุฏุฉ ุฏูŠ ุนุงุฏุฉ ู…ุด ุงู†ุทู‚ ุตุฑุงุญูŠุฉ ุงู„

133
00:10:38,840 --> 00:10:43,650
compilerlogical issue ุนู„ุงู‚ุฉ ุจุงู„ุฎุงุฑุฒ ู…ูŠู† ู†ูุณู‡ ุงู„ู„ูŠ

134
00:10:43,650 --> 00:10:48,430
ูƒุชุจู‡ ุงู„ programmer ู…ุงุจุชุญุณุจุด ุตุญ ู…ุงุจุชุญุณุจุด ุตุญ ูˆู‡ุฐู‡ ุงู„

135
00:10:48,430 --> 00:10:55,490
compiler ู…ุงู„ูˆุด ููŠู‡ุง ุตุญุŸ ุงูˆูƒูŠ ุงู„ุงู† ุงู„ error

136
00:10:55,490 --> 00:11:00,250
handling ุงู„ error handling ูŠุฌุจ ุงู†ู‡ ุงุญู†ุง ุจุฏู†ุง ุงู„

137
00:11:00,250 --> 00:11:04,010
compiler ูŠู‚ูˆู… ุจูŠ .. ุงูˆ ุงู„ parser ูŠู‚ูˆู… ุจูˆุธูŠูุชู‡

138
00:11:04,010 --> 00:11:07,450
ุงู„ุฃุณุงุณูŠุฉ ุงูˆ ุงู„ compiler ุจุงู„ุตูุญุฉ ุงู„ุนุงู…ุฉ ูŠู‚ูˆู…

139
00:11:07,450 --> 00:11:11,060
ุจูˆุธูŠูุชู‡ ุงู„ุฃุณุงุณูŠุฉ ู„ูŠู‡ to compileูˆู‡ุฐุง ู…ุนู†ุงุชู‡ ุฃู†ู‡

140
00:11:11,060 --> 00:11:15,320
ูŠุญุตู„ ููŠู‡ Lexical ูˆSyntax Analysis ูˆุจุฏู†ุง ูƒู…ุงู† Error

141
00:11:15,320 --> 00:11:18,880
Handling ูŠุนู†ูŠ ุจุฏู†ุง ุงู„ compiler ูŠู‚ูˆู… ุจุนู…ู„ Error

142
00:11:18,880 --> 00:11:28,820
Handling ุจุณ ุจุฏู†ุง ุนู…ู„ูŠุฉ Error Handling ุชุถูŠู

143
00:11:30,410 --> 00:11:33,930
overhead ูƒุจูŠุฑ ุนู„ู‰ ุดุบู„ ุงู„ compiler ูŠุนู†ูŠ ู…ุด ุนุดุงู† ุงู†ุง

144
00:11:33,930 --> 00:11:38,110
ุงุนุทูŠู„ู‡ ูŠุนู…ู„ ุงู„ compilation ุงูˆ ุนุดุงู† ูŠูƒุชุดู ู„ูŠ ุงู„

145
00:11:38,110 --> 00:11:42,330
errors ูŠุฑูˆุญ ูŠุงุฎุฏ ุถุนู ุงู„ูˆู‚ุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ ููŠ ุงู„

146
00:11:42,330 --> 00:11:45,850
compilation ุจุฏูˆู† errors ุตุญ ุงู† ุงู„ error handling

147
00:11:45,850 --> 00:11:54,170
ูŠุชู… ุจุดูƒู„ without overhead ุนู„ู‰ ุงู„ program ุจู†ูŠ to

148
00:11:54,170 --> 00:11:59,660
reportูˆ ุจู†ูŠู‡ุง to recover ุจู†ูŠู‡ุง record clearly ูˆ

149
00:11:59,660 --> 00:12:03,100
accurately ูŠุนู†ูŠ ู…ุด ูŠู‚ูˆู„ูŠ ููŠ error ููŠ ุณุทุฑ ุฑู‚ู… ูˆุงุญุฏ

150
00:12:03,100 --> 00:12:06,360
ุชู„ุงุชูŠู† ูˆ ู‡ูˆ ุงู„ error ุญู‚ูŠู‚ุฉ ููŠ ุชู„ุงุชูŠู† ุงูˆ ููŠ ุงุชู†ูŠู† ูˆ

151
00:12:06,360 --> 00:12:13,260
ุชู„ุงุชูŠู† ุจู†ูŠู‡ุง ุจู†ูŠู‡ุง ุฏู‚ูŠู‚ุฉ ูˆ ุจู†ูŠู‡ุง ุฏู‚ูŠู‚ ูˆ ุจู†ูŠู‡ุง

152
00:12:13,260 --> 00:12:17,200
clear ูŠู‚ูˆู„ูŠ ุงู„ error ูˆุงุถุญ ุงู† ู‡ูˆ ูƒุงุด ุจุงู„ุธุจุท ุงู„

153
00:12:17,200 --> 00:12:22,820
errorุจู†ุนู…ู„ recovery ุจุณุฑุนุฉ ุจุฏูˆู† ู…ุง ูŠุคุซุฑ ุนู„ู‰ ุนุดุงู†

154
00:12:22,820 --> 00:12:26,600
ู†ู‚ุฏุฑ ูŠุดูˆู ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ errors ุฅุฐุง ููŠ errors ุจุนุฏู‡

155
00:12:26,600 --> 00:12:32,300
ุชู…ุงู…ุŒ ุงู„ุขู† ู‡ุฏูˆู„ุฉ ุชู„ุงุช ุฃุณุงู„ูŠุจ ุฃูˆ ุฃุฑุจุน ุฃุณุงู„ูŠุจ ู„ุชุนุงู…ู„

156
00:12:32,300 --> 00:12:38,720
ู…ุน ุงู„ errors ุงู„ syntax errors ููŠ ุงู„ code ููŠ panic

157
00:12:38,720 --> 00:12:43,180
mode ูˆ ุงู„ phrase level ูˆ ุงู„ error productions ูˆ ุงู„

158
00:12:43,180 --> 00:12:46,580
global collection ู‡ุฐุง ุฃู†ุง ุจุฏุฃ ุฃุชุฑูƒูƒูŠุง homework

159
00:12:47,270 --> 00:12:50,890
ู…ูˆุฌูˆุฏ ุณูƒุดู† ุฃุฑุจุนุฉ ูˆุงุญุฏ ุฃุฑุจุนุฉ ููŠ ุงู„ูƒุชุงุจ ุชุทู„ุน ุนู„ูŠู‡ู…

160
00:12:50,890 --> 00:12:54,750
ุงู„ุฃุฑุจุน ุฃุณุงู„ูŠุจ ู„ู„ุชุนุงู…ู„ ู…ุน ุงู„ errors error

161
00:12:54,750 --> 00:12:58,490
strategies ูˆููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุณู†ุณุฃู„ ุฃุณุฆู„ุฉ

162
00:12:58,490 --> 00:13:04,530
ุนุดูˆุงุฆูŠุฉ ูƒู„ ูˆุงุญุฏ ูŠุฌุจ ุฃู† ูŠุฌู‡ุฒ ู†ูุณู‡ ุฃู†ุช ุชุฌุฑุคู‡ ูˆ ุชูู‡ู…ู‡

163
00:13:04,530 --> 00:13:09,670
ูˆ ู„ุง ุชูƒุชุจูˆู‡ ุจุฏุฃ ุฃุณุฃู„ ูˆ ุงู„ู„ูŠ ุฃุณุฃู„ู‡ ูŠุฌุจ ุฃู† ูŠูƒูˆู†

164
00:13:09,670 --> 00:13:14,690
ู…ุฌุงู‡ุฒ ู†ูุณู‡ ู„ู„ panic mode recovery phrase level

165
00:13:14,690 --> 00:13:18,470
recovery error productionsูˆ global correction OK

166
00:13:18,470 --> 00:13:24,890
ุชู…ุงู… ุงู„ุงู† ู‡ุฐุง ู‡ูˆ ู…ุถู…ูˆู† ุงู„ู…ู‚ุฏู…ุฉ ููŠ section 4.1 ููŠ

167
00:13:24,890 --> 00:13:29,030
section 4.2 ู†ุจุฏุฃ ู†ุญูƒูŠ ุนู† ุงู„ grammar ุนู† ุงู„ context

168
00:13:29,030 --> 00:13:32,450
free grammars context free grammars ุงุญู†ุง ู…ุด ุฌุฏูŠุฏุฉ

169
00:13:32,450 --> 00:13:36,130
ุนู„ูŠู†ุง ุดูˆูู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุดูˆูู†ุงู‡ุง ููŠ ู‡ุฐู‡ ุงู„ู…ุซุงู„ุฉ ุตุญ ู‡ูŠ

170
00:13:36,130 --> 00:13:41,550
ู…ุซุงู„ ุนู„ู‰ grammar production ุตุญ ู‡ูŠ non terminal

171
00:13:41,550 --> 00:13:45,360
ูƒุงู†ู‡ุง in the formูˆ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ symbols ุจุนุถ ู…ู†ู‡ุง

172
00:13:45,360 --> 00:13:53,340
terminals ูˆุจุนุถ ู…ู†ู‡ุง non terminals ุตุญ ู‡ุฐุง ุงู„ุณู„ุณู„ุฉ

173
00:13:53,340 --> 00:14:00,000
ุจุชุญุฏุฏ ุงู„ุตูŠุบุฉ ุชุจุน ุงู„ statement ูˆู‡ูŠ ู‚ุฏ ู„ุง ุชูƒูˆู†

174
00:14:00,000 --> 00:14:03,240
ุงู„ุตูŠุบุฉ ุงู„ูˆุญูŠุฏุฉ ู…ู…ูƒู† ุชูƒูˆู† ุตูŠุบุฉ ุฃุฎุฑู‰ ู„ู„ statement ุจุณ

175
00:14:03,240 --> 00:14:08,460
ู‡ุฐุง ู…ุซุงู„ ุนู„ู‰ ุฐู„ูƒ ุงู„ุงู† ุฒูŠ ู…ุง ุดูˆูู†ุง ู‚ุจู„ ุญูƒุงูŠุฉ ุงูƒุชุฑ

176
00:14:08,460 --> 00:14:11,580
ู…ู† ู…ุฑุฉ ุงู† ุงู„ formal definition

177
00:14:14,110 --> 00:14:18,630
ุฃูŠ Grammar ุชุดุชู…ู„

178
00:14:18,630 --> 00:14:22,490
ุนู„ู‰ Terminals ุชุดุชู…ู„ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ Terminals

179
00:14:22,490 --> 00:14:26,770
ูŠุนู†ูŠ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ Non Terminals ูˆููŠ ูˆุงุญุฏ ู…ู† ุงู„ Non

180
00:14:26,770 --> 00:14:31,910
Terminals ุนุจุงุฑุฉ ุนู† Star Symbol ูˆููŠ ู‡ู„ ุงู„ Terms ูˆ

181
00:14:31,910 --> 00:14:36,270
ุงู„ Non Termals ู…ุตุงุจุฉ ุนู„ู‰ ุดูƒู„ Productions ูŠุนู†ูŠ ู„ุฃ

182
00:14:36,270 --> 00:14:39,110
ุตุญ ุงู† ุงู†ุง ุฃุฌูŠ ุฃู‚ูˆู„ Context Free Grammar ู‡ูŠ ู…ุฌู…ูˆุนุฉ

183
00:14:39,110 --> 00:14:44,240
ู…ู† ุงู„ Productions ุชุจุฏุฃ ุจStar Symbolูˆุชุฌุชู…ู„ ุนู„ู‰

184
00:14:44,240 --> 00:14:49,180
terminals ูˆ non-terminals ุตุญ ุงู„ูƒู„ุงุจุŸ ุงู„ุงู† ุงุญู†ุง ุงู„

185
00:14:49,180 --> 00:14:52,380
terminals ุนุงุฑููŠู† ุงูŠู‡ ุงู„ terminalsุŸ ุงู„ู„ูŠ ู‡ูŠ ููŠ

186
00:14:52,380 --> 00:14:57,060
ุงู„ุขุฎุฑ basic symbols basic ูŠุนู†ูŠ ู„ุง ูŠู…ูƒู† ุชุญู„ูŠู„ู‡ุง ุฅู„ู‰

187
00:14:57,060 --> 00:15:02,500
.. ุฅู„ู‰ symbols ุฃุฎุฑู‰ ูˆ ู„ุฃ ู„ุฃ ู„ู…ุง ูŠูƒูˆู† ููŠ ู‡ุฐู‡

188
00:15:02,500 --> 00:15:08,680
ุงู„ุฏูŠุงู†ุฉ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงูŠุด ุฒูŠ

189
00:15:08,680 --> 00:15:15,420
ุงู„ุฃู‚ูˆุงุณ ุงู„ F ุงู„ Lุงู„ู€ non-terminals ู…ู…ูƒู† ุชุญู„ู„ ุตุญ

190
00:15:15,420 --> 00:15:21,680
ุฅู„ู‰ .. ุฅู„ู‰ symbols ุจุณ ุงู„ terminals ุฎู„ุงุต ููŠู‡

191
00:15:21,680 --> 00:15:27,220
terminals ููŠ ูˆุงู‚ุน ุงู„ุฃู…ุฑ ุงู„ู€ non-terminals ู‡ูŠ ุฃุณุงู…ูŠ

192
00:15:27,220 --> 00:15:33,500
ู„ู…ุฌู…ูˆุนุงุช ู…ู† ุงู„ terminals ู…ุธุจูˆุท ุงู„ู€ non-terminals

193
00:15:33,500 --> 00:15:38,660
are syntactic variables that denote sets .. sets

194
00:15:38,660 --> 00:15:43,770
of strings ู„ู…ุง ูŠูƒูˆู† ููŠู‡ุง ุงู†ุฏูŠุฃุฉExpression ู…ุด ู‡ุฐุง

195
00:15:43,770 --> 00:15:47,890
ุงูŠุด ุดูู†ุงู‡ุง ู‚ุจู„ ุฐู„ูƒ ุนู„ู‰ ุงู†ู‡ non-terminal ู…ุธุจูˆุท ุงู„

196
00:15:47,890 --> 00:15:51,150
expression ุงูŠุด ุจุชูˆู‚ุน ู…ู…ูƒู† ูŠูƒูˆู† ู…ุซู„ุง identifier

197
00:15:51,150 --> 00:15:57,550
ู…ุทุจูˆุนุฉ ุจ relational operator ู…ุทุจูˆุนุฉ ุจ number ุฒูŠ

198
00:15:57,550 --> 00:16:04,050
ู…ุซู„ุง ุงู‚ูˆู„ x ุฃู‚ู„ ู…ู† ุฎู…ุณุฉ ู‡ุฐุง expression ุตุญ ู‡ุฐุง ุงู„

199
00:16:04,050 --> 00:16:09,450
expression ู‡ูŠ ุงู„ุตูŠุบุฉ ุชุจุนุชู‡ ุตุญ ู‡ุฐุง ุงู„ุฃู†ูƒุงู„ non

200
00:16:09,450 --> 00:16:17,380
-terminal ู‡ูˆู‡ุฐู‡ ู…ุฌู…ูˆุนุฉ ุตุญุŸ ู…ุฌู…ูˆุนุฉ ู‡ุฐู‡ ุงู„ุณู„ุณู„ุฉ ู‡ุฐู‡

201
00:16:17,380 --> 00:16:22,640
ู…ู† ุงู„ symbols ุณู…ู†ู‡ุง expression ูˆู‚ุฏ ูŠูƒูˆู† ุงู„

202
00:16:22,640 --> 00:16:27,240
expression ุดูƒู„ ุขุฎุฑ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† mathematical

203
00:16:27,240 --> 00:16:31,380
expression ู‡ุฐุง logical expression ุตุญุŸ logical ู„ุฃู†

204
00:16:31,380 --> 00:16:33,160
ููŠ logical operator ู…ู…ูƒู† ูŠูƒูˆู† mathematical

205
00:16:33,160 --> 00:16:40,200
expression ุนุจุงุฑุฉ ุนู† ู…ุซู„ุง identifier ุฒุงุฆุฏ term ุฒุงุฆุฏ

206
00:16:40,200 --> 00:16:46,280
number ุตุญุŸูุงู„ expression ู‡ูŠ ูƒ non terminal ู‡ูŠ

207
00:16:46,280 --> 00:16:51,080
ุนุจุงุฑุฉ ุนู† ุชุณู…ูŠุฉ ู„ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ symbols ุงุญู†ุง ุจู†ุงุฎุฏ ู…ู†

208
00:16:51,080 --> 00:16:55,460
ุงู„ lexical analyzer ู†ุงุฎุฏ tokens .. tokens ู‡ุฐู‡

209
00:16:55,460 --> 00:16:58,580
ุจูŠุงุดุฑ

210
00:16:58,580 --> 00:17:04,340
.. ุจู†ุดูˆู ู‡ู„ .. ุจู†ุดูˆู ูƒูŠู ูŠู…ูƒู† ุชุดูƒูŠู„ parse trees

211
00:17:04,340 --> 00:17:09,420
ู…ู†ู‡ุง ูƒู„ branch ููŠ ุงู„ parse tree ูˆุงุญุฏ ู…ู† ุงุชู†ูŠู† ูŠุง

212
00:17:09,420 --> 00:17:16,880
ุงู…ุง leafูŠุง ุงู…ุง ู„ุณู‡ sub-tree ุฅุฐุง ู‡ูˆ sub-tree ูŠุจู‚ู‰

213
00:17:16,880 --> 00:17:23,960
ูƒู„ ุงู„ sub-tree ู‡ุฐู‡ ุจู†ุณู…ูŠู‡ุง ุจุงุณู… ูˆุงุญุฏ ู…ู† ุงู„ .. ู…ู†

214
00:17:23,960 --> 00:17:32,760
ุงู„ non-terminals ุตุญุŸ ู‡ุฐุง expression ุจูŠุฌูŠ ูˆุงุตู„ุง sub

215
00:17:32,760 --> 00:17:36,460
-tree ุตุญูŠุญุŸ

216
00:17:36,460 --> 00:17:41,040
ูุฅู† terminals ู‡ูŠ leaves non-terminals ุนุจุงุฑุฉ ุนู†

217
00:17:41,420 --> 00:17:47,500
ุฃุณุงู…ูŠ ู„ู€ branches ููŠ ุงู„ .. ููŠ ุงู„ parse tree ู„ุฃู†

218
00:17:47,500 --> 00:17:55,080
ูˆุงุญุฏ ู…ู† ุงู„ non-terminers ุงุชูู‚ูŠู† ุนู„ู‰ ุงู† ู‡ูˆ star

219
00:17:55,080 --> 00:17:58,480
symbol ู„ุงุฒู… ูŠูƒูˆู† ููŠู‡ star symbol ููŠ ุงู„ grammar ุตุญ

220
00:17:58,480 --> 00:18:04,440
ู…ุงุจู†ู‚ุฏุฑ ู†ุนู…ู„ grammar ูˆ ู†ู†ุณู‰ ุงู† ุญุฏุฏ ู…ู† ุงู„ star

221
00:18:04,440 --> 00:18:08,060
symbol ูˆู„ุง ูƒูŠู ุงู„ parser ุจุฏู‡ ูŠุจุฏุฃ ู…ู† ุฃูŠ ู†ู‚ุทุฉ ุจุฏู‡

222
00:18:08,060 --> 00:18:13,350
ูŠุจุฏุฃ ูˆุงุถุญุŸin a grammar when non terminal is

223
00:18:13,350 --> 00:18:16,970
distinguished as the start symbol and the set of

224
00:18:16,970 --> 00:18:20,410
strings it denotes is the language generated by

225
00:18:20,410 --> 00:18:26,090
the grammar ุทูŠุจ ุงู„ุขู† a production ุงูˆ the

226
00:18:26,090 --> 00:18:33,950
productions the productions ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ุดูƒุงู„

227
00:18:33,950 --> 00:18:41,490
ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชุฃุชูŠ ุนู„ูŠู‡ุงุงู„ู€ Non-terminals ุฃูˆ

228
00:18:41,490 --> 00:18:44,830
ุจุนุจุงุฑุฉ ุฃุฎุฑู‰ ู„ู…ุง ุฃู‚ูˆู„ ุฃู† ุงู„ุฃุดูƒุงู„ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ

229
00:18:44,830 --> 00:18:48,050
ุจุชุฃุชูŠ ููŠู‡ุง ุงู„ู€ Non-terminals ูŠุนู†ูŠ ูƒู„ Non-terminals

230
00:18:48,050 --> 00:18:52,310
ุดูˆ ุงู„ุฃุดูƒุงู„ ุงู„ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ู…ุซู„ุง statement ู…ู…ูƒู† ุชุจู‚ู‰

231
00:18:52,310 --> 00:18:54,630
if statement ูˆ while statement ูƒู„ ูˆุงุญุฏ ู…ู† ุฏูˆู„

232
00:18:54,630 --> 00:18:57,790
ุนุจุงุฑุฉ ุนู† ุดูƒู„ ูƒู„ ูˆุงุญุฏ ู…ู† ุฏูˆู„ ุนุจุงุฑุฉ ุนู† production

233
00:18:57,790 --> 00:19:02,450
ูุงู„ productions ู‡ูŠ ุชุญุฏูŠุฏ ู„ู„ุฃุดูƒุงู„ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู‚ุฏ

234
00:19:02,450 --> 00:19:04,810
ุชุฃุชูŠ ุนู„ูŠู‡ุง ุงู„ู€ Non-terminals ูˆููŠ ู†ูุณ ุงู„ูˆุฌู‡ุฉ ุงู„

235
00:19:04,810 --> 00:19:07,250
productions ู…ู…ูƒู† ุฃู†ุธุฑ ุนู„ูŠู‡ุง ุนู„ู‰ ุฃู† ู‡ูŠ ุนุจุงุฑุฉ ุนู†

236
00:19:07,250 --> 00:19:09,610
ุทุฑูŠู‚ุฉ

237
00:19:10,270 --> 00:19:18,130
ุงู„ู„ูŠ ุฃุดูƒู„ ู…ุฌู…ูˆุนู†ุง ุงู„ุณูŠู…ุจูˆู„ุฒ ููŠ branch is the

238
00:19:18,130 --> 00:19:21,650
manner in which the terminals and non-terminals

239
00:19:21,650 --> 00:19:27,230
ู…ุฌู…ูˆุนู†ุง ุงู„ุณูŠู…ุจูˆู„ุฒ ูŠู…ูƒู† ุฃู† ู†ู†ุธุฑ ุฅู„ูŠู‡ุง combined to

240
00:19:27,230 --> 00:19:33,110
form a string ูˆstring ู‡ุฐุง ุนุจุงุฑุฉ ุนู† branch ููŠ ุงู„

241
00:19:33,110 --> 00:19:38,570
language ูƒู„ู‡ ููŠ ุงู„ input ูƒู„ู‡ ูŠุนู†ู‰ ุงู„ production

242
00:19:38,570 --> 00:19:44,920
ุงู„ูˆุงุญุฏุฉ ู†ุนุฑูุนู†ุงุตุฑู‡ุง ุซู„ุงุซุฉ ุนู†ุงุตุฑ ุตุญ ู‡ุฐุง left hand

243
00:19:44,920 --> 00:19:48,520
side ุงู„ู„ูŠ ู‡ูˆ ุฏุงูŠู…ุง ุจูŠูƒูˆู† non terminal ุจุนุฏูŠู† ุงู„ุณู‡ู…

244
00:19:48,520 --> 00:19:53,440
ุจุนุฏูŠู† ุงู„ูƒุงุฆุด ุงู„ body ูู‰ ุนู†ุฏู†ุง ุงู„ head ู‡ุฐุง ุงู„ head

245
00:19:53,440 --> 00:19:56,960
ุงูˆ

246
00:19:56,960 --> 00:20:03,400
left side ุจุนุฏูŠู† ุงู„ symbol ุงู„ุณู‡ู… ุงุญูŠุงู†ุง ูู‰ ุจุนุถ ุงู„

247
00:20:03,400 --> 00:20:08,360
notation ูŠุณุชุฎุฏู… ู†ู‚ุทูŠู† ู†ู‚ุทูŠู† ุงูˆ ูƒูˆู„ูˆู† ูƒูˆู„ูˆู† ูŠุณุงูˆูŠ ูˆ

248
00:20:08,360 --> 00:20:09,460
ุจุนุฏูŠู† ุงู„ body

249
00:20:12,300 --> 00:20:15,060
ุงูˆ ุงู„ right side ุงู„ right side left side ูˆ right

250
00:20:15,060 --> 00:20:24,960
side ุตุญุŸ consisting of ุงูŠุดุŸ zero or more terminals

251
00:20:24,960 --> 00:20:32,460
terminals and non-terminals ุตุญุŸ

252
00:20:32,460 --> 00:20:40,580
okay ู‡ุฐุง example ุนู„ู‰ productions

253
00:20:43,400 --> 00:20:50,760
Questions ู‡ุฐู‡ ุชุดูƒู„ Grammar ู„ุจุณ ู„ุฃุฑุซู…ุชูƒ expressions

254
00:20:50,760 --> 00:20:56,180
Simple arithmetic expressions ู…ุด ู„ู„ู„ุบุฉ ูƒุงู…ู„ุฉ ุจุณ

255
00:20:56,180 --> 00:20:59,760
ู„ุฃุฑุซู…ุชูƒ expressions expression can have the form

256
00:20:59,760 --> 00:21:04,540
expression ุฒูŠ term ุฃูˆ expression ู†ุงู‚ุต term ุฃูˆ term

257
00:21:04,540 --> 00:21:10,580
ูู‚ุท ุงู„ term ู„ู‡ ุชู„ุงุช ุฃุดูƒุงู„ term ุถุฏ factor, term ุนู„ู‰

258
00:21:10,580 --> 00:21:14,750
factor ุฃูˆ ู…ุฌุฑุฏ factorูˆุงู„ู€ factor ู„ู‡ ุดูƒู„ูŠู† ู‚ุฏ ูŠูƒูˆู†

259
00:21:14,750 --> 00:21:20,530
identifier ูู‚ุท ุฃูˆ ู‚ุฏ ูŠูƒูˆู† expression ุจูŠู† ุฌุซู…ูŠู†

260
00:21:20,530 --> 00:21:23,710
ุงู„ุงู†

261
00:21:23,710 --> 00:21:26,450
ู‡ุฐุง ุงู„ูƒู„ุงู… ุงุญู†ุง ุนุงุฑููŠู† ู…ู† ุงู„ terminals ูˆ ู…ู† ุงู„ non

262
00:21:26,450 --> 00:21:29,390
-terminals ููŠ ู‡ุฐู‡ ุงู„ definition ุงูˆ ููŠ ู‡ุฐู‡ ุงู„

263
00:21:29,390 --> 00:21:33,310
grammar ุตุญุŸ ู‡ุฐู‡ grammar ูƒุงู…ู„ุฉ ูˆู„ุง ู„ุง ุจุณ ูƒุงู…ู„ุฉ ู„ู€

264
00:21:33,310 --> 00:21:37,150
simple mathematical expressions ู…ุด ู„ู„ุบุฉ ุจุฑู…ุฌุฉ ูˆู„ุง

265
00:21:37,150 --> 00:21:41,180
ุฏู„ูˆู‚ุชูŠ ู‡ุฐู‡ ุงู„ grammar ุงู„ู„ูŠ ุงู†ุง ู…ู†ู‡ุง ุงู„ุญูŠู†ุนุงุฑููŠู† ู…ู†

266
00:21:41,180 --> 00:21:44,160
ุงู„ terminals ูˆ ู…ู† ุงู„ non-terminals ุงู„ non

267
00:21:44,160 --> 00:21:51,120
-terminals ู‡ูŠ ุงู„ุฃุณุงู…ูŠ ุงู„ู„ูŠ ู…ู† ุงู„ุฎุท ุงู„ู…ุงุฆู„ ูˆ ุงู„

268
00:21:51,120 --> 00:21:55,520
terminals ู‡ูŠ ุงู„ plus ูˆ ุงู„ minus ูˆ ุงู„ู†ุฌู…ุฉ ูˆ ุงู„

269
00:21:55,520 --> 00:22:03,060
slash ูˆ ุงู„ guess ุฌูˆุณ ูŠู…ูŠู† ุฌูˆุณ ุดู…ุงู„ ูˆ ุงู„ ID

270
00:22:08,470 --> 00:22:12,350
ุงู„ุงู† ุงุญู†ุง ู„ูŠุด ุนุงุฑููŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ุฃู†ู‡ ุนุงุฑููŠู† ุงู† ุงู„

271
00:22:12,350 --> 00:22:17,230
italics ุฏุงูŠู…ุง non terminals ุงู„ูƒู„ุงู… ุงู„ู…ุงุฆู„ ุงู„ูƒู„ุงู…

272
00:22:17,230 --> 00:22:19,550
ุงู„ู…ูƒุชูˆุจ ุฎุท ู…ุงุฆู„ ู‡ุฐุง non terminal ูˆู‡ุฐุง convention

273
00:22:19,550 --> 00:22:26,290
ุดูŠุก ู…ุชุนุงุฑู ุนู„ูŠู‡ ู…ุนุชู‚ุฏ ุชู…ุงู… ููŠ conventions ููŠ ุงู„

274
00:22:26,290 --> 00:22:32,350
terminals ุฏุงูŠู…ุง ุงุญู†ุง ู„ูˆ ุจุดูˆู ุงุญุฑูˆู

275
00:22:32,350 --> 00:22:35,460
ู…ูƒุชูˆุจุฉ ุจุงู„ small letterุจุชุดูˆู ุงู„ grammar ูˆุงู„

276
00:22:35,460 --> 00:22:39,780
grammar ุจุชุญุชูˆูŠ ุนู„ู‰ ุฃุญุฑู ู…ู†ูุตู„ุฉ a ู„ุญุงู„ุฉ b ู„ุญุงู„ุฉ c

277
00:22:39,780 --> 00:22:45,760
ู„ุญุงู„ุฉ small letter ูˆ ู…ุงูŠู„ุฉ ู†ุนุชุจุฑู‡ุง terminal ุชู…ุงู…ุŸ

278
00:22:45,760 --> 00:22:50,880
ุฅูŠุด ูƒู…ุงู† ุงู„ terminalsุŸ ูƒู„ ุงู„ุนู„ุงู…ุงุช ุงู„ operators ูƒู„

279
00:22:50,880 --> 00:22:56,240
ุงู„ุฃุฑู‚ุงู… ูƒู„ ุงู„ punctuation symbols ุฒูŠ ุงู„ุฃู‚ูˆุงุณ ุงู„

280
00:22:56,240 --> 00:23:00,600
comma ุฃูˆู„ุง ู…ุง ุชุธู‡ุฑ ููŠู‡ grammar ูŠุนู†ูŠ ููŠ ุงู„ body ุฃูˆ

281
00:23:00,600 --> 00:23:05,880
ุงู„ productions ุนู„ู‰ ุทูˆู„ู…ุงููŠุด ููŠู‡ุง ูƒู„ุงู… ูƒุฐู„ูƒ ุงู„ุญุงู„ุฉ

282
00:23:05,880 --> 00:23:11,140
strings of characters ุจุณ ุชุจู‚ู‰ ู…ูƒุชูˆุจุฉ ุจุงู„ bold ุงู„

283
00:23:11,140 --> 00:23:17,000
ID ู‡ุฐู‡ ุงู„ string ID ูˆ F ู‡ู„ูˆ ู„ุฃ ุงุฐุง ู…ูƒุชูˆุจูŠู† ุจุงู„

284
00:23:17,000 --> 00:23:22,320
bold ุจู†ูู‡ู…ู‡ ุนู„ู‰ ุงู†ู‡ ุงูŠุด terminals ูˆู‡ู†ุง ุงู„ terminal

285
00:23:22,320 --> 00:23:27,080
ู‡ุฐุง ูŠุฑู…ุฒ ุงู„ู‰ keyword F ูˆู‡ุฐุง ุงู„ terminal ูŠุฑู…ุฒ ุงู„ู‰

286
00:23:27,080 --> 00:23:29,520
ุงุณู… ู…ุชุบูŠุฑ identifier

287
00:23:33,570 --> 00:23:36,550
ุงู„ู€ Non-terminants ููŠ ุงู„ู…ู‚ุงู…ู„ ุจู†ูƒุชุจู‡ุง ุจุทุฑูŠู‚ุฉ

288
00:23:36,550 --> 00:23:41,090
ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ุนุงุฏุฉ ุชุจู‚ู‰ capital ุจุฑุถู‡ a,b,c ูŠุนู†ูŠ

289
00:23:41,090 --> 00:23:45,950
ุฃูˆุงุฆู„ ุงู„ alphabet ู…ู† .. ุงู‡ ู…ู† ุจุฏุงูŠุฉ ุงู„ alphabet ู…ู†

290
00:23:45,950 --> 00:23:56,630
ุจุฏุงูŠุฉ ุงู„ุฃุญุฑู ุงู„ุฃูˆุฌุฏูŠุฉ ุจุณ ุจูŠู†ูƒุชุจ capital ูƒุฐู„ูƒ

291
00:23:56,630 --> 00:24:02,560
ุงู„ุญุงู„ ุจู†ุญุท ุงู„ S ุฏุงูŠู…ุง ูƒ start symbolูˆุจุนุฏ ูƒุฏู‡ ุจู†ุนู…ู„

292
00:24:02,560 --> 00:24:09,260
ุงู„ italics ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏู‰ ุงู†ุง ุชุณู…ูŠุฉ ุจู†ุนู…ู„ู‡ุง ุจุงู„

293
00:24:09,260 --> 00:24:15,740
italic ุจุงู„ู…ุงูŠู„ ูˆุจุนุฏ ูƒุฃุจู† ุงุญูŠุงู†ุง ุงู†ุง ูƒุชูŠุฑ ุบูŠุฑ ุงู„ a

294
00:24:15,740 --> 00:24:20,580
ูˆ ุงู„ b ูˆ ุงู„ c ุจู†ุณุชุฎุฏู… ุฃุนุฑู ุฌุงูŠุฉ ู…ู† ุงุฎุชุตุงุฑุงุช ูŠุนู†ูŠ E

295
00:24:20,580 --> 00:24:27,220
ุฎุณุฑ ุงู„ expression T ุฎุณุฑ ุงู„ term ูˆ F ูุงูƒุชุฑ ุฃุญูŠุงู†ุง

296
00:24:27,220 --> 00:24:28,460
ุจู†ุดูˆู ุฃุดูŠุงุก ุฃุฎุฑู‰

297
00:24:31,280 --> 00:24:38,480
ุบูŠุฑ ู‡ุฐุง ุงู„ูƒู„ุงู… ู†ุญูƒูŠ ุนู†

298
00:24:38,480 --> 00:24:43,560
ู…ุฌู…ูˆุน ู…ู† ุงู„ symbols ุฌุฒุก ู…ู† ุงู„ production ูŠุนู†ูŠ ู…ุซู„ุง

299
00:24:43,560 --> 00:24:50,340
ุงู

300
00:24:50,340 --> 00:24:58,740
ู…ุทุจูˆุนุฉ ุจุฃูŠ ุดูŠุก ุงูŠ ุดูŠุก ู‡ุฐุง ุจู‚ู‰ ู…ุซู„ู‡ ุจ X capital ุงูˆ

301
00:24:58,740 --> 00:25:04,210
Y capital ุงูˆ Z capitalู„ู…ุง ุฃู‚ูˆู„ X ูƒุงุจุชู„ ุฃูˆ Y ูƒุงุจุชู„

302
00:25:04,210 --> 00:25:08,670
ุฃูˆ Z ูƒุงุจุชู„ ุฃู‚ุตุฏ Terminals ู…ุน Non Terminals ุฎู„ูŠุท ู…ู†

303
00:25:08,670 --> 00:25:14,830
ุฃูˆ ุณู„ุณู„ุฉ ู…ู† Terminals ูˆ ุฃูŠุถุง ู…ุนุงู‡ู… ูƒู…ุงู† Non

304
00:25:14,830 --> 00:25:19,210
Terminals ูุฅุฐุง ุดูˆูุช ุงู„ุฃุญุฑู ุงู„ X ูˆ Y ูˆ Z ู…ู† ูƒุชุงุจ

305
00:25:19,210 --> 00:25:24,810
ุงู„ูƒุงุจุชู„ ูŠู‚ุตุฏ ุจูŠู‡ุง ุณู„ุณู„ุฉ ู…ู† ุงู„ symbols ู…ุฎู„ุทุฉ

306
00:25:30,160 --> 00:25:33,920
upper case letters late in the alphabet ู…ู† ู†ู‡ุงูŠุฉ

307
00:25:33,920 --> 00:25:38,520
ุงู„ุงู„ูุงุจุช such as x, y, z represent grammar symbols

308
00:25:38,520 --> 00:25:42,220
ุชุดูƒูŠู„ุฉ ู…ู† ุงู„ grammar symbols that is either non

309
00:25:42,220 --> 00:25:48,200
terminals or terminals ู„ู…ุง ู†ุณุชุฎุฏู… u, v, z ุจุฑุถู‡

310
00:25:48,200 --> 00:25:53,960
ูŠุนู†ูŠ ุฒูŠ ู‡ูŠูƒุฉ ุจุณ small letter ุจูŠูƒูˆู† ู†ุณุชุฎุฏู…ู‡ุง

311
00:25:53,960 --> 00:26:01,430
ู„ู„ุฏู„ุงู„ุฉ ุนู„ู‰ ุฃูŠุถุง symbols ูˆู„ูƒู† ูƒู„ู‡ุง terminalsุงู„ุนูƒุณุŒ

312
00:26:01,430 --> 00:26:04,610
ู„ูˆ ุฃูƒูˆู† ุฃุฏู‘ูŠ ุณู„ุณู„ุฉ ู…ู† ุงู„ู€ Symbols ูƒู„ู‡ู… Terminals

313
00:26:04,610 --> 00:26:12,070
ุจุณุชุฎุฏู…ู„ู‡ู… ุชุฑู…ูŠุฒ ู…ู† ุงู„ู€ U ูˆ ุงู„ู€ V ูˆ ุงู„ุฃุญุฑู ุจุงุณู…

314
00:26:12,070 --> 00:26:16,110
Small letter ู„ุฃู† ู…ุง ุฃุณุชุฎุฏู… ุงู„ู€ Alpha ูˆ ุงู„ Beta ูˆ

315
00:26:16,110 --> 00:26:20,730
ุงู„ุฌุงู…ุนุฉ ุฒูŠูƒู‰ ุจุฃู‚ุตุฏ ููŠ ุนุงุฏุฉ ุงู„ body ุชุจุน ุงู„

316
00:26:20,730 --> 00:26:26,310
production production left

317
00:26:26,310 --> 00:26:34,310
hand side ุฃูˆ head implies bodyุบุงู„ุจุง ุงู„ body ุชุจุน

318
00:26:34,310 --> 00:26:37,990
productions ู†ุณุชุฎุฏู… ู„ู‡ ุงู„ุฑู…ูˆุฒ alpha, beta, and

319
00:26:37,990 --> 00:26:44,050
gamma ู„ุฃู† ู‡ู†ุง alpha 1, alpha 2, alpha k ูƒู„ ู‡ุฐู‡ ุงู„

320
00:26:44,050 --> 00:26:47,890
alpha ูŠู‚ุตุฏ ุจูŠู‡ุง ุงู„ bodies ุงู„ู…ุฎุชู„ูุฉ ุชุจุน ุงู„

321
00:26:47,890 --> 00:26:53,590
productions ุชุจุน ุงู„ non terminal A ู‡ูˆ ู†ูุณู‡ ุฅูŠู‡ ู„ูˆ

322
00:26:53,590 --> 00:26:57,670
ุนุฏุช productions ูุจู‚ูˆู„ alpha 1, alpha 2, alpha 3

323
00:26:57,670 --> 00:27:00,490
ู‡ุฏูˆู„ุฉ ุงู„ bodies ุชุจุน ุงู„ productions ุชุจุน ุงู„ A

324
00:27:05,470 --> 00:27:09,610
ุงู„ุงู† ุงูˆู„ production ููŠ ุงู„ grammar ู„ู…ุง ุงุญู†ุง ู†ุณุฑุฏ

325
00:27:09,610 --> 00:27:13,010
grammar ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ productions ุงูˆู„ production ุงู„

326
00:27:13,010 --> 00:27:18,790
head ุชุจุนู‡ุง ุงูŠุด ู‡ูˆ ุฏุงูŠู…ุง ุจูŠูƒูˆู† ู‡ูˆ ุงู„ start symbol

327
00:27:18,790 --> 00:27:24,010
ุณูˆุงุก ูƒุงู† ุงุณู…ู‡ S ุณูˆุงุก ูƒุงู† ูŠุณุชุฎุฏู… ุงู„ุญุฑู S ูˆู„ุง ุบูŠุฑ

328
00:27:24,010 --> 00:27:30,650
ุฐู„ูƒ ุงูˆู„ production ููŠ ุงู„ grammar ุงู„ head ุชุจุนู‡ุง ู‡ูˆ

329
00:27:30,650 --> 00:27:38,710
ุงู„ start symbol ุงู„ุง ุงุฐุง ุชู…ุงู„ุฅุดุงุฑุฉ ุฅู„ู‰ ุฎู„ุงู ุฐู„ูƒ ู‡ุฐุง

330
00:27:38,710 --> 00:27:42,950
ู…ุซุงู„

331
00:27:42,950 --> 00:27:48,010
ุนู† ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุฑุงุญ ุงุชูƒู„ู… ุนู†ู‡ Stressing ู‡ูˆ E ู„ุฃู†

332
00:27:48,010 --> 00:27:51,250
ุฃูˆู„ ูˆุงุญุฏุฉ ู‡ูˆ ุงู„ production ูƒู„ู‡ู… ุงู„ E ูˆ ุงู„ T ูˆ ุงู„ F

333
00:27:51,250 --> 00:27:56,230
ุงู„ู„ูŠ ู‡ูˆ ุงู„ non-terminals ุงู„ ID ู‡ูŠ ุงู„ terminal ูˆ

334
00:27:56,230 --> 00:28:02,110
ู…ุนู‡ุง I ูˆ M ูƒู…ุงู† ูƒู„ ุงู„ operators ุงู„

335
00:28:02,110 --> 00:28:02,670
derivation

336
00:28:16,150 --> 00:28:19,610
ุงู„ููƒุฑุฉ ุงู„ุฃุณุงุณูŠุฉ ู„ู„ู€ parser ู‡ูˆ ุงู†ู‡ ูŠุจุฏุฃ ู…ู† ุงู„ start

337
00:28:19,610 --> 00:28:25,510
symbol ูˆ ูŠุฎุชุงุฑ ูˆุงุญุฏุฉ ู…ู† production ุชุจุนุชู‡ ูŠุญูˆู„ ูˆุงุญุฏ

338
00:28:25,510 --> 00:28:31,990
ู…ู† ุงู„ non terminals ุงู„ู„ูŠ ููŠู‡ุง ุฅู„ู‰ ูŠุนู…ู„ replace ุฅู„ู‰

339
00:28:31,990 --> 00:28:39,600
ู…ุฌู…ูˆุนุฉ symbolsุจุฏูŠู„ ุนู†ู‡ ูˆ ูŠุจุฏุฃ ูŠุชุญูˆู„ ุณูŠู…ุจูˆู„ ูˆุฑุง

340
00:28:39,600 --> 00:28:43,780
ุณูŠู…ุจูˆู„ ุงู„ู‰ ุงู† ูŠุตู„ ุงู„ู‰

341
00:28:43,780 --> 00:28:48,420
ุงู„ input ุงู„ู„ู‰ ุฏุงุฎู„ ุงู„ู„ู‰ ุฃุฌุงู„ู‡ ู…ู† ุงู„ from the

342
00:28:48,420 --> 00:28:53,420
lexical analyzer ูู‡ุฐุง

343
00:28:53,420 --> 00:28:57,500
ุงู„ูƒู„ุจ ุงู„ derivation ู‡ูˆ ุฃุณุงุณ ุงู„ construction ุชุจุน ุงู„

344
00:28:57,500 --> 00:29:02,040
parse tree parse tree ุฒูŠ ู…ุง ูŠู…ูƒู† ุงู† ุงู†ุง ู‡ู†ุง ุจุจุฏุฃ

345
00:29:02,040 --> 00:29:07,050
ุจุงู„ู…ู‚ู„ ุจุงู„ุณุชุงุฑ ุณูŠู…ุจูˆู„ูˆุจุดูˆู ุงุดู…ูŠ ู‚ุงู„ู„ูŠ ู‡ุงูŠ ุฎู„ูŠู†ุง

346
00:29:07,050 --> 00:29:09,910
ู†ุงุฎุฏ ุงู„ grammar ู‡ุฐู‡ ู†ูƒุชุจู‡ุง ู‡ู†ุง ุนู„ู‰ ุงู„ุฌุงู†ุจ

347
00:30:01,830 --> 00:30:07,530
ุจู†ุจุฏุฃ ุจุงู„ู€ start symbol ุชุจุนูŠ ุงู„ู€ start symbol ุงู„ุขู†

348
00:30:07,530 --> 00:30:15,390
ููŠู‡ ุนุฏุฉ productions ุฃุญุฏูŠู† ุชู„ุงุชุฉ ูƒุชุงุจุฉ

349
00:30:15,390 --> 00:30:17,610
ุงู„ grammar ู…ุด ู‡ุฐู‡ ุงู„ู„ูŠ ุจู†ูŠู‡ุง

350
00:30:25,480 --> 00:30:35,720
ุจุนุฏูŠู† ู…ูŠู†ุŸ ุจุฏู†ุง ู‡ุฐุง ุงู„ ground ุฎู„ู‘ูŠู†ูŠ

351
00:30:35,720 --> 00:30:37,800
ู†ุทู„ุน ู„ู‡ุฐุง ุงู„ ground ุงู†ุณุงู† ุงู„ ground ูˆ ู†ุทู„ุน ู„ู‡ุฐุง ุงู„

352
00:30:37,800 --> 00:30:42,440
ground ูˆู‡ูŠ ุงู„ E can have four ุฅู„ู‰ ุชู„ุช ุฅู„ู‰ ุฃุฑุจุน ูˆ

353
00:30:42,440 --> 00:30:49,300
ุฎู…ุณ productions ู„ุฃู† ุจุจุฏุฃ ุจุงู„ E ุจุฏุฃุช ุจุงู„ E ู„ุฃู† ู‡ุฐุง

354
00:30:49,300 --> 00:30:52,500
ุงู„ E ุจูŠุณุชุจุฏู„ ูˆุงุญุฏุฉ ู…ู† ุงู„ ุฅูŠุด ู…ู† ุงู„ productions

355
00:30:52,500 --> 00:30:56,410
ุชุจุนู‡ู… ุฃูˆ ู…ู† ุงู„ bodiesุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุน ุงุฑุจุน

356
00:30:56,410 --> 00:30:57,770
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

357
00:30:57,770 --> 00:30:59,750
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

358
00:30:59,750 --> 00:31:08,510
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

359
00:31:08,510 --> 00:31:10,530
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

360
00:31:10,530 --> 00:31:10,950
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

361
00:31:10,950 --> 00:31:11,390
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

362
00:31:11,390 --> 00:31:22,250
ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน ุงุฑุจุน

363
00:31:22,250 --> 00:31:27,880
ุงุงู„ู€ tokens ุงู„ู„ูŠ .. ุงู†ุง ู…ุนูƒ ุจุณ ุงุญู†ุง ุงู„ุงู† ุจู†ูˆุถุญ

364
00:31:27,880 --> 00:31:33,320
ููƒุฑุฉ ุงู„ derivation ุงู†ู…ุง ู„ูŠุด ู‡ุฐู‡ ูˆ ู…ุด ู…ุด ู‡ุฐู‡ ุจูŠุชู…

365
00:31:33,320 --> 00:31:37,080
ุฏู„ูˆู‚ุชูŠ ุนู„ู‰ ุงูŠุด ุงู„ input ุงู„ู„ูŠ ุฌุงูŠู„ูƒ ูุนู„ุง ูˆ ุงูŠุด ุงู„

366
00:31:37,080 --> 00:31:41,760
parsing table ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุงู…ุงู…ูƒ ูˆ ู‡ูŠ ุชุฎุชุงุฑ ุงู„

367
00:31:41,760 --> 00:31:45,510
parsing table ู‡ูˆ ู„ูŠู‡ุจูŠุญุฏุฏ ู„ูƒ ุงูŠุด ุงู„ production

368
00:31:45,510 --> 00:31:49,310
ุจุชุฎุชูู‰ ุจุณ ููƒุฑุฉ ุงู„ derivation ุงู†ู‡ ู‡ูŠ ุชุณู„ุณู„ ู…ู† ุงู„

369
00:31:49,310 --> 00:31:53,250
replacements ุณู„ุณู„ุฉ ู…ู† ุงู„ replacements ููŠ ูƒู„ ูˆุงุญุฏุฉ

370
00:31:53,250 --> 00:31:57,290
ุงู†ุง ุจุฏุฃุช ุงูˆู„ replacement ูƒุงู†ุช ู‡ูŠ ุงู„ E ู†ูุณู‡ุง ุงู„

371
00:31:57,290 --> 00:32:01,070
start ู†ูุณู‡ุง ุญูˆู„ุชู‡ุง ุงู„ู‰ ู‡ุฐุง ุงู„ body ุงู„ุงู† ู‡ุฐุง ุงู„

372
00:32:01,070 --> 00:32:05,210
body ูƒุงู†ุช ุงู„ุงูˆู„ symbol ู…ุชุงุญูŠ ุงู„ู„ูŠ ุญูˆู„ุชู‡ ุจูˆุงุญุฏุฉ

373
00:32:05,210 --> 00:32:09,790
ุงุฎุฑู‰ ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ุจุถุจุท ุงู„ู†ู‚ุต ู†ุฒู„ ุฒูŠ ู…ุง ู‡ูŠ ูˆ ุจุฏุฃ ู†ุฒู„

374
00:32:09,790 --> 00:32:13,750
ู„ู‡ุง ุงู„ุงู† ุงู„ Eูู‰ ุงู„ุฎุทูˆุฉ ุงู„ุฑุงุจุนุฉ ุญูˆู„ุชู‡ุง ุจู€

375
00:32:13,750 --> 00:32:17,030
Identifier ูˆุถุน ูƒู„ ุดูŠุก ุฒูŠ ู…ุง ู‡ูˆ ุงู„ู„ู‰ ุงุชุญูˆู„ ู‡ูˆ ุงู„ู€

376
00:32:17,030 --> 00:32:21,230
Identifier ุงู„ุงู† ุนู†ุฏ ู‡ู†ุง ุงู†ุง ูˆุตู„ุช ู„ ุงู„ dead end

377
00:32:21,230 --> 00:32:24,830
ุฎู„ุงุต ูƒู„ ุงู„ symbols ุงู„ู„ู‰ ุนู†ุฏู†ุง ู†ุงู‚ุตู‡ ุงู„ ghost ูˆ ุงู„

378
00:32:24,830 --> 00:32:29,430
ID ูˆ ุงู„ู„ูŠ ู‡ุฏุง ูƒู„ู‡ู… terminals ู…ุงููŠ ุงู„ุงู† ุฅุฐุง ู‡ุฐุง ู„ุง

379
00:32:29,430 --> 00:32:33,490
ูŠุชูˆุงุจู‚ ุงู„ input ุฅุฐุง ู‡ุฐุง ู„ุง ูŠุชูˆุงุจู‚ ุงู„ input ูŠุจู‚ู‰

380
00:32:33,490 --> 00:32:38,810
ุฅู…ุง error syntax error ูŠุง ุฅู…ุง ุจุฏูŠ ุฃุฑุฌุน ุชุงู†ู‰ ุฃุฌุฑุจ

381
00:32:41,380 --> 00:32:46,480
ู…ุณุงุฑ ุงุฎุฑ ู…ู† ุงู„ derivation ูˆุงุถุญ ูุงูˆู„ ู†ูู‡ู… ุงูŠุด ูŠุนู†ูŠ

382
00:32:46,480 --> 00:32:50,180
ุงู„ derivation ุชุงู†ูŠุง ู†ูู‡ู… ุงูŠุด ุนู„ุงู‚ุฉ ู‡ุฐุง ุจุงู„ parse

383
00:32:50,180 --> 00:32:54,560
tree ุจุจู†ุงุก ุงู„ parse tree ู‡ุฐุง ุงูŠู‡ ุนู„ุงู‚ุฉ ู…ุจุงุดุฑุฉ

384
00:32:54,560 --> 00:32:58,940
ุจุจู†ุงุก ุงู„ parse tree ุงู† ุงุญู†ุง

385
00:32:58,940 --> 00:33:05,300
ุงู†

386
00:33:05,300 --> 00:33:11,200
ุงุญู†ุง ุงูˆู„ symbol ูƒุงู† ู…ุนุงู†ุง ู‡ูˆ ู‡ุฐุง ู…ุซุงู„ ุงุฎุฑู…ุซู„ ุขุฎุฑ

387
00:33:11,200 --> 00:33:17,060
ุจุณ ุจูŠูˆุถุญ ูŠุทู„ุน ุงู„ู€ series N derivation ุฃูˆู„ ูŠุนู†ูŠ ู‡ุฐุง

388
00:33:17,060 --> 00:33:22,400
ุงู„ู€ N ูƒุงู† ุนู†ุฏูŠ E ุงุณุชุฎุฏุช ุจูŠู‡ ุทุจุนุง ุงู„ derivation ุฏู‡

389
00:33:22,400 --> 00:33:26,220
ุจู†ุฑู…ุฒ ุฅู„ูŠู‡ุง ุจุงู„ double arrow ุจุงู„ double line arrow

390
00:33:26,220 --> 00:33:34,200
ุงู„ุณู‡ู… ุงู„ู„ูŠ ูŠู„ูˆ ู…ุฒุฏูˆุฌ ุงู„ู‚ุทุฉ ุจูŠุนู…ู„ ุชู…ุงู… ุฃูˆู„

391
00:33:34,200 --> 00:33:37,800
replacement ูƒุงู†ุช minus ู…ุน ุงู„ E ุชุงู†ูŠ replacement

392
00:33:38,400 --> 00:33:42,020
ูƒุงู†ุช ุงู„ู€ E ู…ุน ุงู„ุฌูˆุงุณ ู†ุฒู„ ุงู„ู€ minus ุฒูŠ ู…ุง ู‡ูˆ ูˆ

393
00:33:42,020 --> 00:33:48,000
ุจุนุฏูŠู† ุงู„ุฌูˆุงุณ ุชุงู„ุช ุงู„ replacement ุฃู†ู‡ ุงู„ E ุฃุณุทูˆุจ ุฏูŠ

394
00:33:48,000 --> 00:33:51,700
ู„ู… ุชุจู‚ุงุด ุงู„

395
00:33:51,700 --> 00:33:58,420
E ุงู„ู„ูŠ ููŠ ุงู„ู…ุตุฏุฑ ุฃุณุทูˆุจ ุฏูŠ ู„ุฅูŠู‡ุŸ ู„ุฅูŠู‡ุŸ ู„ุฃ ุจุงู„ I ุฏูŠ

396
00:33:58,420 --> 00:34:02,120
ุฃุณุทูˆุจ ุฏูŠ ู„ุฅูŠู‡ุŸ ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ ..

397
00:34:02,120 --> 00:34:02,240
ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡

398
00:34:02,240 --> 00:34:02,520
.. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ ..

399
00:34:02,520 --> 00:34:04,480
ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡

400
00:34:04,480 --> 00:34:04,480
.. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ ..

401
00:34:04,480 --> 00:34:10,460
ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏู‡ .. ุฏุงุณุชุจุฏู„ุช ู…ู† ุงู„ E

402
00:34:10,460 --> 00:34:19,160
ุงู„ุฃูˆู„ู‰ ุจุงู„ Identifier ุงุฒุงู‰

403
00:34:19,160 --> 00:34:22,740
ุงู„ู„ู‰ ูˆ ุจุงู‚ู‰ ูƒู„ู‡ ุฒู…ู‡ูˆุฑ ุจุนุฏูŠู† ุงุณุชุจุฏู„ุช ุงู„ E ุงู„ุชุงู†ู‰

404
00:34:22,740 --> 00:34:28,640
ุจุงู„ Identifier ุงู„

405
00:34:28,640 --> 00:34:31,840
relationship

406
00:34:31,840 --> 00:34:34,800
ุจูŠู† ุงู„ derivation ูˆ ุงู„ parts tree building

407
00:34:37,300 --> 00:34:41,200
ูƒู„ start symbol ุงู„ุฃูˆู„ ูŠุนู†ูŠ start symbol ุงู„ู„ูŠ

408
00:34:41,200 --> 00:34:45,560
ุจุฏู‘ูŠู†ุง ู†ุงู‚ุจู‡ ู„ู‡ node ู„ุฅู† ู†ุชุดูŠู„ ุงู„ derivation ุชุจุนุชู‡

409
00:34:45,560 --> 00:34:49,540
ู…ุฌู…ูˆุนุฉ ุงู„ symbols ุงู„ู„ูŠ ููŠู‡ุง ูƒู„ ูˆุงุญุฏ ู…ู†ู‡ู… ุจู†ุนู…ู„ู‡

410
00:34:49,540 --> 00:34:53,360
child ู„ุฅู†

411
00:34:53,360 --> 00:34:56,560
ุงู„ู„ูŠ ุฌุงูŠ ุนู„ูŠู‡ ุงู„ุฏูˆุฑ ููŠ ุงู„ replacement ู…ูŠู† ู‡ูˆ ู‡ุฐุง

412
00:34:56,560 --> 00:35:02,080
ูู‡ุฐุง ุจูŠุตูŠุฑ ู‡ูˆ root ู„ sub tree sub tree ู‡ุฐู‡ ุงู„ู„ูŠ

413
00:35:02,080 --> 00:35:06,380
ูŠูˆู… ุงุญู†ุง ุจู†ุดูŠู„ู‡ ูˆ ุจู†ุญุท ุงู„ production ุชุจุนู‡ ุฃูˆ ุงู„

414
00:35:06,380 --> 00:35:11,110
body ุชุจุนู‡ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุฃุชูŠ ุจุฏู„ ู…ู†ู‡ุง ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡

415
00:35:11,110 --> 00:35:13,230
ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ

416
00:35:13,230 --> 00:35:16,350
ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู†

417
00:35:16,350 --> 00:35:17,930
ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡

418
00:35:17,930 --> 00:35:24,330
ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ

419
00:35:24,330 --> 00:35:27,570
ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡

420
00:35:27,570 --> 00:35:30,130
ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ

421
00:35:30,130 --> 00:35:30,270
ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู†

422
00:35:30,270 --> 00:35:30,270
ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡

423
00:35:30,270 --> 00:35:35,410
ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุชู„ุงุชุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ

424
00:35:35,410 --> 00:35:41,580
ุชู„Derivation ูˆ ุชุดูƒูŠู„ ุฃูˆ ุจู†ุงุก ุงู„ู€ parse tree ุนู…ู„ูŠุฉ

425
00:35:41,580 --> 00:35:49,380
ูˆุงุญุฏุฉ ุนู…ู„ูŠุฉ ูˆุงุญุฏุฉ ุดูˆูŠู‡ ุจุณ ู†ุฑุฌุน ุชุงู†ูŠ ุนู„ู‰ ุงู„

426
00:35:49,380 --> 00:35:54,080
derivation ู…ุฑุฉ ุฃุฎุฑู‰ ูุงุญู†ุง ู‚ู„ู†ุง the construction of

427
00:35:54,080 --> 00:35:57,820
a parse tree can be made precise ุจู†ุงุก ุงู„ parse

428
00:35:57,820 --> 00:36:04,020
tree by taking a derivational viewุจู†ู…ุดูŠ ุนู„ู‰ ุฃุณุงุณ

429
00:36:04,020 --> 00:36:07,020
derivations ููŠ ูƒู„ ุฎุทูˆุฉ ู…ู† ุฎุทูˆุงุช ุงู„ derivation

430
00:36:07,020 --> 00:36:12,560
ุจู†ุจู†ูŠ ู…ุง ูŠู‚ุงุจู„ู‡ุง ุนู„ู‰

431
00:36:12,560 --> 00:36:18,660
ุงู„ parse tree a replacement of a single e by one

432
00:36:18,660 --> 00:36:22,860
of c will be here ู„ุฃู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ู‚ุงุจู„ุชู‡ ุจุฑูˆุญ ุจุนู…ู„

433
00:36:22,860 --> 00:36:31,180
notes ุนู„ู‰ ุงู„ parse tree ุงู„ derivation ู„ู…ุง ู†ูƒุชุจ ุงู„

434
00:36:31,180 --> 00:36:37,710
derivationุฃูˆู„ ุญุงุฌุฉ ุณูˆู ู†ุณุชุฎุฏู… ุงู„ุณู‡ู… ู‡ุฐุง ุฅุดุงุฑุฉ ุฅู„ู‰

435
00:36:37,710 --> 00:36:42,270
ุงู„ุงู†ุชู‚ุงู„ ู…ู† ุงู„ู€string

436
00:36:42,270 --> 00:36:52,750
of symbols ุฅู„ู‰ ุงู„ู„ูŠ ุจุนุฏู‡ ูƒู„ ูˆุงุญุฏ ู…ู†

437
00:36:52,750 --> 00:36:54,350
ู‡ุฐู‡ ุงู„ู€string of symbols

438
00:37:07,820 --> 00:37:18,840
ู…ู…ูƒู† ุชุฎูŠู„ู‡ ุนู„ู‰ ู‡ุฐู‡ ุงู„ู‡ูŠุฆุฉ ุนู„ู‰

439
00:37:18,840 --> 00:37:24,800
ู‡ุฐู‡ ุงู„ู‡ูŠุฆุฉ ุนุจุงุฑุฉ

440
00:37:24,800 --> 00:37:29,920
ุนู† ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ symbols ูˆ ููŠู‡ุง ู†ู†ุชุฑ ู…ู† ุงู„ a ูˆ ูˆุฑุง

441
00:37:29,920 --> 00:37:34,980
ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ู…ู† ุงู„ symbolsุฃู„ู ู‡ุงู„ูŠ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„

442
00:37:34,980 --> 00:37:41,980
symbols ุงู„ a ู‡ุฐุง

443
00:37:41,980 --> 00:37:46,220
ู‡ูˆ ุงู„ู„ูŠ ุฌุงูŠุฉ ุงู„ุฏูˆุฑ ุนู„ูŠู‡ ููŠ

444
00:37:46,220 --> 00:37:49,540
ุงู„ replacement ูŠุนู†ูŠ ููŠ ุงู„ form ู‡ุฐุง ุงู†ุง ุจุชุณุชุจุฏู„ a

445
00:37:49,540 --> 00:37:54,220
ุจุงู„ symbols ุจุฃุญุฏู‰ ุงู„ productions ุชุจุนุชู‡ ูุจู†ุฑูˆุญ

446
00:37:54,220 --> 00:37:58,900
ุจู†ุดูˆู suppose ุงู† ุงู†ุง ููŠ ุนู†ุฏูŠ production a can have

447
00:37:58,900 --> 00:38:04,810
the form ูŠุจู‚ุงุด ุงู„ุฃู† ุจูŠุตูŠุฑ ู‡ุฐุง ุจูŠุชุญูˆู„ ุฅู„ู‰Alpha

448
00:38:04,810 --> 00:38:13,230
Gamma Beta ูุงุญู†ุง

449
00:38:13,230 --> 00:38:19,310
ุจุนุจุงุฑ ุฃุฎุฑู‰ ูƒู„ form ู‡ุฐุง form ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„

450
00:38:19,310 --> 00:38:24,070
symbols ู†ุจุญุซ ุนู† ุงู„ term ุงู„ non terminal ุงู„ู„ูŠ ุฌุงูŠ

451
00:38:24,070 --> 00:38:27,170
ุนู„ู‰ ุงู„ุฏูˆุฑ ุงู„ non terminal ุงู„ู„ูŠ ุฌุงูŠ ุนู„ู‰ ุงู„ุฏูˆุฑ ู‚ุจู„ู‡

452
00:38:27,170 --> 00:38:31,110
ููŠู‡ symbols ู…ุฎู„ุตูŠู† ูˆ ุจุนุฏู‡ ููŠู‡ symbols ู„ุณู‡ ุจุฏู‡ ูŠุฌูŠ

453
00:38:31,110 --> 00:38:35,810
ุนู„ูŠู‡ู… ุงู„ุฏูˆุฑ ู‡ูˆ ุงู„ู„ูŠ ุฃู†ุง ุฃุฏูˆุฑ ุนู„ูŠู‡ูุจู†ุจุฏู„ู‡ ูƒูŠูุŸ ู„ุฅู†

454
00:38:35,810 --> 00:38:41,050
ู†ุจุญุซ ุนู† ูˆุงุญุฏ ู…ู† ุงู„ productions ุชุจุนู‡ู†ู‡ ุงูŠู‡ุŸ ูู„ู†ู‚ูˆู„

455
00:38:41,050 --> 00:38:45,530
ุงูŠู‡ ูƒุงู† ููŠ ุงู„ form Gamma ูˆ ุจู†ุดูŠู„ู‡ ู‡ูˆ ูˆ ุจู†ุญุท Gamma

456
00:38:45,530 --> 00:38:50,730
Gamma ู‡ุฐู‡ ู…ุด ุณูŠู…ุจูˆ ูˆุงุญุฏ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุณูŠู…ุจูˆุฒ okay ู‡ูŠ

457
00:38:50,730 --> 00:38:55,090
ุฃู‚ู„ ุนู† production ู‡ูŠ ุฃู‚ู„ ุนู† body ุชุจุนุช ู‡ุฏู ุงูŠุดุŸ

458
00:38:55,090 --> 00:38:58,730
ุงุฑุจุน ู…ู„ูŠูˆู† ู†ูŠุดุŸ ู‡ุฐุง ู‡ูˆ ุงู„ derivation ุชุจุนู†ุง ูˆุตูˆู„ุง

459
00:38:58,730 --> 00:38:58,990
ุฅู„ู‰

460
00:39:02,150 --> 00:39:08,690
ุงู„ู†ู‡ุงูŠุฉ ุงู„ู‰ form ูŠุทุจู‚ ุงู„ input ุงู„ู„ู‰ ุฏุฎู„ ู„ุฃู† ู„ู…ุง

461
00:39:08,690 --> 00:39:14,070
ุงู†ุง ุจู‚ู‰ ููŠ ุนู†ุฏูŠ ุณู„ุณู„ุฉ

462
00:39:14,070 --> 00:39:20,190
ู…ู† ู‡ุฐู‡ ุงู„ forms ู…ู…ูƒู† ู†ุนุจุฑ ุนู„ู‰ ูƒู„ ูˆุงุญุฏ ู…ู† ู‡ุฏูˆู„ุฉ

463
00:39:20,190 --> 00:39:23,950
ุจูŠู‚ูˆู„ alpha one derives alpha two derives alpha

464
00:39:23,950 --> 00:39:26,410
ูƒุฏู‡ ู„ุฃุฌู‡ุฒุฉ alpha n

465
00:39:30,730 --> 00:39:37,070
ู„ุฃู† ฮฑN ู‡ุฐุง ูŠูุชุฑุถ ุฃู† ู‡ูˆ ุณู„ุณู„ุฉ ุงู„ู€ tokens ุงู„ู„ูŠ ุฏุฎู„ุช

466
00:39:37,070 --> 00:39:45,910
ููŠ ุงู„ input ูุฅุฐุง ูุนู„ุง ุฃู†ุง ู‚ุฏุฑุช ุฃุตู„ ู…ู† S ู…ูุชุฑุถ

467
00:39:45,910 --> 00:39:56,110
ู…ู† ุงู„ input ู‡ูˆ ฮฑN ุฅุฐุง ูˆุตู„ุช ู…ู† S ุฅู„ู‰ ฮฑN ูŠุจู‚ู‰ ฮฑN ู‡ุฐุง

468
00:39:56,110 --> 00:40:03,220
ุณู„ูŠู…ุงู„ูˆุตูˆู„ ู…ู† S ุฅู„ู‰ ฮฑN ู„ุง ูŠุชู… ุจุฎุทูˆุฉ ูˆุงุญุฏุฉ ุจูŠุชู…

469
00:40:03,220 --> 00:40:15,860
ุจูˆุงุญุฏุฉ ุงูˆ ุงูƒุชุฑ ู…ู† ุงู„ derivations ู…ุธุจูˆุท S

470
00:40:15,860 --> 00:40:24,300
derives ฮฑN in zero or more steps ุณู…ุจูˆู„

471
00:40:24,300 --> 00:40:31,370
ุงู„ู„ูŠ ู‡ูˆ ุงู„ double arrow ู…ุน ุงู„ู†ุฌู…ุฉS Derives Alpha N

472
00:40:31,370 --> 00:40:37,910
In Zero Or More Steps ูƒุฐุง ูƒุงู† ุงู„ุญุงู„ุฉ ู„ูˆ ุจูŠุชุฑ ุฃูˆ

473
00:40:37,910 --> 00:40:41,950
ุฌุงู…ุนุฉ ู„ูˆ

474
00:40:41,950 --> 00:40:46,110
ุฑุงุญุถุช plus ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ููŠ ุฎุทูˆุฉ ูˆุงุญุฏ ุนู„ู‰ ุงู„ุฃู‚ู„ ู…ุด

475
00:40:46,110 --> 00:40:51,450
Zero One Or More Steps Derives In One Or More

476
00:40:51,450 --> 00:40:53,130
Steps

477
00:40:55,130 --> 00:40:59,230
ุฅุฐุง ู„ุงุญุธุชู… ูˆ ุฃู†ุง ุจุญูƒูŠ ู‡ุฐุง form ู‡ุฐุง form ู‡ุฐุง form

478
00:40:59,230 --> 00:41:03,830
ู…ู† derivation ุฅู„ู‰ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุฃู†ุง ุจู†ุชู‚ู„ ู…ู† form ุฅู„ู‰

479
00:41:03,830 --> 00:41:07,890
form ุฅู„ู‰ form okay ู†ุณู…ูŠู‡ู… sentential forms

480
00:41:07,890 --> 00:41:19,510
sentence sentential forms ุชู…ุงู… sentential forms if

481
00:41:19,510 --> 00:41:26,620
S derives alpha in zero or more stepsุนู„ู‰ ุฃุณุงุณ ุฃู† S

482
00:41:26,620 --> 00:41:30,240
ู‡ูŠ ุงู„ู€ start symbol ุงู„ู€ start symbol ู„ู„ู…ุนุฑูุฉ ุงู„ู€ G

483
00:41:30,240 --> 00:41:38,200
ู†ู‚ูˆู„ ุฃู† Alpha ู‡ูˆ ุดูƒู„ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ู† ุงู„ู…ุนุฑูุฉ

484
00:41:38,200 --> 00:41:41,920
ู„ุง ุฃุนุฑู ู…ุง ู‡ูˆ ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุดูƒู„ ู…ุตุทู„ุญ ูˆู…ุตุทู„ุญ ู„ุญุงู„ู‡ุง

485
00:41:41,920 --> 00:41:48,940
ุงู„ุดูƒู„ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ูŠุญุชูˆูŠ ุนู„ู‰ terminals ูˆ non

486
00:41:48,940 --> 00:41:54,010
terminals ุฃู†ุง ู…ุนู†ู‰sentential form ุงู„ู„ูŠ ูŠุญุชูˆูŠ ุนู„ู‰

487
00:41:54,010 --> 00:41:57,110
ุงู„ terminals ูู‚ุท ู„ุฃู† ุงู„ input ุงู„ู„ูŠ ุฏุงูƒู„ ุนู„ูŠู‡ ู‡ูˆ ุงู„

488
00:41:57,110 --> 00:42:03,630
terminals ูู‚ุท ูˆ tokens ูู‚ุท okay sentential form

489
00:42:03,630 --> 00:42:12,170
may contain both terminals and non terminals ู‡ุฐุง

490
00:42:12,170 --> 00:42:16,170
ุฅุฐุง ูŠุญุชูˆูŠ ุนู„ู‰ both terminals and non terminals

491
00:42:16,170 --> 00:42:20,570
ุจู†ุณู…ูŠู‡ sentence ูˆู„ุง ุจู†ุณู…ูŠู‡ sentential form ุงุชู†ูŠู†

492
00:42:20,570 --> 00:42:25,630
sentential formsุจุณ ุฅุฐุง ูŠุญุชูˆูŠ ุนู„ู‰ terminals ูู‚ุท ูู‡ูˆ

493
00:42:25,630 --> 00:42:29,230
sentence a

494
00:42:29,230 --> 00:42:35,250
sentence of the grammar is a sentential form

495
00:42:35,250 --> 00:42:39,530
containing with no non-terminals ูŠุนู†ูŠ ูƒู„ู‡

496
00:42:39,530 --> 00:42:44,950
terminals the language generated by a grammar is

497
00:42:44,950 --> 00:42:49,790
its set of sentencesุงู„ู€ language ู‡ูŠ ู…ุฌู…ูˆุนุฉ ุงู„

498
00:42:49,790 --> 00:42:53,110
sentences ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุชูˆู„ุฏ ุนู† ู‡ุฐุง ุงู„

499
00:42:53,110 --> 00:42:56,510
grammar ุชูˆู„ุฏู‡ุง ุนู† ุงู„ grammar ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„

500
00:42:56,510 --> 00:43:02,710
derivation ู„ุฃู†ู‡ ุงู†ุง ู…ู† ุงุณุชุฎุฏุงู… symbol ุจุดูƒู„

501
00:43:02,710 --> 00:43:09,810
form ูˆุฑุง form ูˆุฑุง form ุจุตู„ ุงู„ู‰ sentence sentence

502
00:43:09,810 --> 00:43:13,420
ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ termsู„ูˆ ุฃุฎุฏุช ู…ุณุงุฑ

503
00:43:13,420 --> 00:43:17,960
ุขุฎุฑ ุจุตู„ ุฅู„ู‰ sentence ุฃุฎุฑู‰ ููƒุงูุฉ ุงู„ sentences

504
00:43:17,960 --> 00:43:22,500
ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ู‰ ู…ู…ูƒู† ุฃุตู„ ุฅู„ูŠู‡ุง ู…ู† ุงู„ start symbol

505
00:43:22,500 --> 00:43:28,180
ุนุจุฑ ุงู„ derivations ุงู„ู…ุญุชู…ู„ุฉ ูƒุงูุฉ ุงู„ sentences ุงู„ู„ู‰

506
00:43:28,180 --> 00:43:33,380
ุจุตู„ ุฅู„ูŠู‡ุง ู‡ุฏู‰ ุนุจุงุฑุฉ ุนู† ุงู„ language

507
00:43:33,380 --> 00:43:37,960
ุทูŠุจ

508
00:43:37,960 --> 00:43:45,520
ู‡ุฐุง ุงู„ู…ุซุงู„ ุงู„ู„ู‰ ู‚ุฏ ุฃูˆู‰ ุดูู†ุงู‡ูˆุดูˆูู†ุง ูƒูŠู ูŠุชุฑุฌู… ุนู„ู‰

509
00:43:45,520 --> 00:43:49,440
ุงุณุงุณ parse

510
00:43:49,440 --> 00:43:55,820
tree ุจุณ ููŠ ุดุบู„ ุฃุฎุฑู‰ ุจุฏู†ุง ู†ุญูƒูŠู‡ุง ูˆู‡ูŠ ุฃู†ู‡ ู„ู…ุง ู†ุญู†

511
00:43:55,820 --> 00:44:00,500
ู†ุนู…ู„ replacement ุงุญู†ุง

512
00:44:00,500 --> 00:44:06,800
ุฃุฎุฏู†ุง ุฃูˆู„ ู…ุงุดูŠู†ุง ุงุญู†ุง ู…ู† ุงู„ุดู…ุงู„ ุนู„ู‰ ุงู„ form ู‡ุฐุง

513
00:44:06,800 --> 00:44:12,680
ุฃุฎุฏู†ุง ุงู„ E ุตุญุŸู„ุฃู† ู‡ูˆ ุงู„ูˆุญูŠุฏ ุงุตู„ุง ู„ุงู† ุงู†ุช ู…ู† ุงู„ูˆุญูŠุฏ

514
00:44:12,680 --> 00:44:17,860
ุญูˆู„ู†ุง ุงู„ู‰ ุงู„ุฌูˆุฒ ูˆ ุงู„ E ู…ุน ุงู„ุฌูˆุฒ ุจุนุฏ ุงู† ู‡ู†ุง ุจุฑุถู‡ ู‡ูˆ

515
00:44:17,860 --> 00:44:24,420
ุงู† ุงู†ุช ู…ู† ุงู„ูˆุญูŠุฏ E plus ุชู…ุงู… ุงุนุทุงู†ูŠ ุงู„ E ูˆ ุงู„ plus

516
00:44:24,420 --> 00:44:29,500
ูˆ ุงู„ E ุงู„ุงู† ููŠ ุงู†ุง two E ู‡ู†ุง ูƒู„ู‡ู… ุงู„ E ู‡ูŠ ุงู„ุญุงู„ุฉ

517
00:44:29,500 --> 00:44:33,400
ุฌุงูŠุฉ ู…ุง ุจูŠู† terminals ุจุณ ู‡ู†ุง ู‡ู†ุง ููŠ E ูˆ ู‡ู†ุง ููŠ E

518
00:44:33,400 --> 00:44:41,570
ุชู…ุงู… ุงู†ุง ุฏุงูŠู…ุง ุจุงุฎุฏ ุงู„ left mostุงู„ุดู…ุงู„ ู‡ูˆ ุงู„ู„ู‰

519
00:44:41,570 --> 00:44:47,610
ุจุฑูˆุญ ุจู‚ู‰ ุจุนู…ู„ู‡ replacement ู‚ุจู„ ุงู„ูŠู…ูŠู† ูู‡ุฐุง ุงุณู…ู‡

520
00:44:47,610 --> 00:44:53,510
leftmost derivation ู„ูˆ ุฃู†ุง ุจู‚ู‰ ุฃุฎุฏ ุงู„ูŠู…ูŠู† ุฃูˆู„

521
00:44:53,510 --> 00:44:58,730
ุจุณู…ูŠู‡ rightmost derivation ูุงู„ leftmost derivation

522
00:44:58,730 --> 00:45:04,110
ุจูŠูƒูˆู† ู†ุงุฎุฏ ุงู„ leftmost non terminal in each

523
00:45:04,110 --> 00:45:10,960
sentential form ู‡ูˆ ุงู„ู„ู‰ ุฏุงูŠู…ุง ุจู†ุญุงูˆู„ู‡ุงู„ู€ leftmost

524
00:45:10,960 --> 00:45:15,040
ู†ุจุฏุฃ ู…ู† ุงู„ู€ leftmost ูŠุนู†ูŠ ู„ูˆ ููŠ ุนู†ุฏูŠ ุงุชู†ูŠู† ูˆู„ุง

525
00:45:15,040 --> 00:45:19,820
ุนู†ุฏูŠ ุฎู…ุณ ุฏุงูŠู…ุง ุจุงุฎุฏ ุงุญูˆู„ ุงู„ุงูˆู„ ูˆุงุญุฏ ู…ู† ุงู„ุดู…ุงู„

526
00:45:19,820 --> 00:45:24,480
ุงุญูˆู„ุชู‡ ุฏุงูŠู…ุง

527
00:45:24,480 --> 00:45:28,580
ุจุญูˆู„ ุงู„ุงูˆู„ ูˆุงุญุฏ ู…ู† ุงู„ุดู…ุงู„ ูุงู†ุง ู…ุงุฌุฏุฑุด ุงุฎู„ุท ุงุนู…ู„

528
00:45:28,580 --> 00:45:32,400
leftmost ู…ุฑุฉ leftmost ูˆ ู…ุฑุฉ rightmost ู…ุฑุฉ .. ู„ุฃ

529
00:45:32,400 --> 00:45:37,130
ู„ุงุฒู… ุงุญูˆู„ ุงู…ุง leftmost ุฏุงูŠู…ุงุฃูˆ rightmost ูŠุนู†ูŠ ุงู„ู€

530
00:45:37,130 --> 00:45:40,070
LM ู‡ุฐู‡ ุงุฎุชุตุงุฑ ู„ู€ leftmost ู‡ูˆ ุงู„ู€ default ูŠุนู†ูŠ ุงู„ู€

531
00:45:40,070 --> 00:45:47,830
default ุงู† ุงุญู†ุง ุจู†ุนู…ู„ replacement leftmost ูˆุงุถุญุŸ

532
00:45:47,830 --> 00:45:53,790
ุทูŠุจ ุทูŠุจ ู‡ุฐุง ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุงู†ุง ุฑุฌุนู†ุงู‡ ู„ุชู‡ ุชุงู†ูŠ ุงู„ู„ูŠ

533
00:45:53,790 --> 00:45:58,350
ู‡ูˆ ุชุจุน ุนู„ุงู‚ุฉ ุงู„ parts trees ุจุงู„derivations ุฒูŠ ู…ุง

534
00:45:58,350 --> 00:46:02,970
ุงู†ุช ุดุงูŠู ู‡ู†ุง ุฑุณุงู„ุฉ

535
00:46:02,970 --> 00:46:10,730
ููŠ ุงู„ sub treesุจุฏู„ ู…ุง ูŠุญุท ุงู„ form ุณุจุชุฑูŠู‡ ู‡ูŠ ุงู„ E

536
00:46:10,730 --> 00:46:14,430
ูƒุงู†ุช ู‡ูŠ ุงู„ start symbol ุงู„ุงู† ููŠ ุงู„ derivation

537
00:46:14,430 --> 00:46:20,010
ุงู„ุฃูˆู„ู‰ ุดุงู„ ุงู„ E ูˆ ุญุท ุจุฏู„ู‡ุง minus E ูˆ ุนู…ู„ูŠุง ุฑุงูƒูŠู‡ุง

538
00:46:20,010 --> 00:46:24,270
ูƒูŠู ุงู† ู‡ูˆ ุงูŠุด ุงู„ E minus ู‡ูˆ ุงู„ E ุนุจุงุฑุฉ ุนู† children

539
00:46:24,270 --> 00:46:28,670
ู…ู† ุงู„ E ููŠ ุงู„ derivation ุงู„ู„ูŠ ุจุนุฏู‡ุง ู…ู† ุงู„ leftmost

540
00:46:28,670 --> 00:46:33,310
ู‡ูŠุชู… ุงุณุชุฎุฏุงู„ู‡ ุจุงู„ E ุจุนุฏ ุงู„ู…ุตุงู„ู€ Derivation ุงู„ู„ูŠ

541
00:46:33,310 --> 00:46:37,410
ุจุนุฏู‡ุง ุงุณุชุจุฏู„ ุงู„ู€ E ู„ุฌูˆู‡ ุงู„ู€ Ghost ุจุงู„ุณุทุฑ ูŠุฏู‡ ุงู„ู€

542
00:46:37,410 --> 00:46:40,390
Derivation ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงุณุชุจุฏู„ ุงู„ู€ E ู„ุดู…ุงู„ ุจุงู„ู€

543
00:46:40,390 --> 00:46:48,930
Identifier ูˆ ุจุนุฏู‡ุง ุงุณุชุจุฏู„ ุงู„ู€ E Sequence

544
00:46:48,930 --> 00:46:52,630
of parts and trees for the derivation ุงู„ุดูŠุก ุงู„ู„ูŠ

545
00:46:52,630 --> 00:46:58,970
ุฃุฌุงุจู„ูŠูƒ ู‡ุฐุง ุงู„ูƒู„ุงู… ูƒู„ู‡ ู†ู‚ุฏุฑ ู†ุนุชุจุฑู‡ ู…ู‚ุฏู…ุฉ ู„ุฃู† ุงุญู†ุง

546
00:46:58,970 --> 00:47:03,970
ู…ุฑ ุนู„ูŠ ุฃู† ุฃุฌุงุจู„ูŠูƒ ุตุญุŸ ุตุญุŸุฃูˆ ุงู„ ambiguity ุจุฑุถู‡ ู…ุฑุช

547
00:47:03,970 --> 00:47:08,650
ุนู„ูŠู†ุง ู‚ุจู„ ู‡ูŠูƒ ุงู„ ambiguity ุงู†ุง ุจุชู‚ูˆู„ ุงู† ุนู†ุฏูŠ ุงู„

548
00:47:08,650 --> 00:47:15,050
grammar ู†ูุณู‡ุง ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠ ุชุจุน ุงุฑุจุนุฉ ุชู„ุงุชุฉ

549
00:47:15,050 --> 00:47:20,570
ุงู„ู„ูŠ ู‡ูŠ ุฎู„ูŠู†ูŠ ุงูƒุชุจู‡ุง ู„ูŠู‡

550
00:47:20,570 --> 00:47:28,870
ุงู„ุณุทุฑ ู‡ุฐุง ุงู„ู„ูŠ ูƒุงู†ุŸ ู„ูŠุดุŸ ู‡ูˆ ู‡ุฐุง ู†ุนู… ูƒุงู† ุจุฑููˆุธุงู‡

551
00:47:28,870 --> 00:47:29,190
ุงู„ู…ุนู†ู‰

552
00:47:31,960 --> 00:47:53,940
ู‡ุฐู‡ ุงู„ุจุฑุงู…ุฑ Ambiguous Ambiguous ุงุดุฑุจ

553
00:47:53,940 --> 00:47:54,620
ู†ูุณูŠ

554
00:47:58,160 --> 00:48:01,660
ู…ุฎุฏู‡ ู‡ูˆ ูƒู…ุซุงู„ ู„ู€ Ambiguity ุจู…ุนู†ู‰ ุงู†ู‡ ุงู†ุง ู„ูˆ ููŠ

555
00:48:01,660 --> 00:48:08,560
ุนู†ุฏูŠ ุงู„ grammar ู‡ุงู„ูƒ ูˆ ููŠ ุนู†ุฏูŠ input ูˆ ุงู„ input ู‡ู‰

556
00:48:08,560 --> 00:48:13,240
ุฏู‡ ูŠุญุชูˆูŠ ุนู„ู‰ identifier ุจุนุฏูŠู† ุนู„ุงู…ุฉ ุงู„ุฒุงุฆุฏ ุจุนุฏูŠู†

557
00:48:13,240 --> 00:48:16,380
identifier ุงุฎุฑ ุจุนุฏูŠู† ุนู„ุงู…ุฉ ุงู„ุถู…ู† ุจุนุฏูŠู† identifier

558
00:48:16,380 --> 00:48:22,920
ุงุฎุฑ ูู‡ูˆ ุงู„ IDs ู‡ุฏูˆู„ุฉ ุชู„ุชุฉ different IDs ุงู„ู…ู‡ู… ุงู†ู‡

559
00:48:22,920 --> 00:48:29,380
ุชู„ุชุฉ identifiersone possible derivation ุงู† ู‡ุฐู‡

560
00:48:29,380 --> 00:48:34,820
ุงู†ุธุฑ ุงู„ู‰ ู‡ุฐุง ู‡ูŠูƒ ุนู„ู‰ ุงู†ู‡ expression ูˆ ู‡ุฐุง

561
00:48:34,820 --> 00:48:39,400
expression ูˆ ุจูŠู†ู‡ู… ุงู„ุฒุงุฆุฏ ุจุนุฏูŠู† ู‡ุฐุง ู‡ูˆ ุนุจุงุฑุฉ ุนู†

562
00:48:39,400 --> 00:48:47,440
two expressions ู…ุง ุจูŠู†ู‡ู… ุงูŠุด ุงู„ุถุบุท ุซู… ูุฎู„ุงุต ู‡ุฐุง

563
00:48:47,440 --> 00:48:52,480
identifier ูˆู‡ุฐุง identifier ูˆู‡ุฐุง identifier ู‡ุฐุง

564
00:48:52,480 --> 00:48:59,640
ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐุง ุตุญุฃุฎุฏ ุงู„ู€ identifier ุงู„ุฃูˆู„ุงู†ูŠ

565
00:48:59,640 --> 00:49:05,480
ุนู„ู‰ ุงู†ู‡ ุงูŠุด ุงุฎุฏ ูƒู„ ุงู„ expression ุนู„ู‰ ุงู†ู‡ two

566
00:49:05,480 --> 00:49:09,060
expressions ู…ูุตูˆู„ูŠู† ุนู† ุจุนุถ ุจุงู„ุฒุงูŠุฏ ุตุญ two

567
00:49:09,060 --> 00:49:12,700
expressions ุจูŠู†ู‡ู… ุฒุงูŠุฏ ุจุนุฏูŠู† ุงู„ expression ุงู„ุฃูˆู„

568
00:49:12,700 --> 00:49:15,840
ู‡ูˆ identifier ูˆุงู„ expression ุงู„ุชุงู†ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†

569
00:49:15,840 --> 00:49:21,360
two expressions ุจูŠู†ู‡ู… ุถุฑุจ ุตุญ ุงู„ one derivation ุงู„

570
00:49:21,360 --> 00:49:27,270
derivation ุงู„ุชุงู†ูŠ ุงู† ู„ุฃู‡ู… ุนุจุงุฑุฉ ุนู† two expressions

571
00:49:27,270 --> 00:49:31,790
ู…ูุตูˆู„ูŠู† ุนู† ุจุนุถ ุฃูˆ ู…ุง ุจูŠู†ู‡ู… ุงูŠุดุŸ ู…ุง ุจูŠู†ู‡ู… ุถุฑุจ ู‡ุงูŠ

572
00:49:31,790 --> 00:49:37,270
.. ู‡ุฐุง ู‡ูŠ ุงู„ expression ูุงู„ู…ุนุฑูุฉ

573
00:49:37,270 --> 00:49:42,650
ุจุชุณู…ุญ ู„ุฐู„ูƒ .. ุงู„ู…ุนุฑูุฉ ุจุชุณู…ุญ ู„ุฐู„ูƒ ููŠ ุงู†ุฏูŠุจูˆุฏูŠ ุฃูˆ

574
00:49:42,650 --> 00:49:47,790
production ู…ุทุงุจู‚ ู„ู„ุณุจุนุฉ ูู…ู† ู‡ู†ุง ุตุงุฑ ููŠ ambiguity

575
00:49:47,790 --> 00:49:53,970
ambiguity ุงู† ููŠ two different derivationsfor the

576
00:49:53,970 --> 00:49:58,730
same input two different derivations ูŠุนู†ูŠ two

577
00:49:58,730 --> 00:50:02,950
different parse trees two different parse trees ุตุญ

578
00:50:02,950 --> 00:50:10,490
ุŸ ู‡ุฐุง ุงู„ูƒู„ุงู… ุบูŠุฑ ู…ุฑููˆุถ ู…ุฑููˆุถ ู„ุงุฒู… ุชุฒุงู„ ู‡ุฐุง ุงู„

579
00:50:10,490 --> 00:50:18,130
ambiguity ุชู…ุงู…

580
00:50:18,130 --> 00:50:18,270
ุŸ

581
00:50:25,690 --> 00:50:31,210
ุงู„ุงู† ุงุญู†ุง ู‡ู†ุทู„ุน ุนู„ู‰ ุงู„ุฃู…ุฑ ู‡ุฐุง ุจุณ ูŠุฏุตู„ ุงู†ู‡ ุงู„

582
00:50:31,210 --> 00:50:34,590
language ูŠุฌุจ ุงู†ู‡ ู…ุงูŠุฌุนุด ููŠู‡ุง ุงูŠ ambiguity ุนุดุงู†

583
00:50:34,590 --> 00:50:39,510
ู…ุงูŠุฌุนุด ููŠ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ู‡ู„ ู†ุงุฎุฏ ู‡ู„ ุงู„ expression

584
00:50:39,510 --> 00:50:45,650
ู‡ุฐุง ู†ุญุณุจู‡ ู‡ูŠูƒ ูˆ ู„ุง ู†ุญุณุจู‡ ู‡ูŠูƒ ุทูŠุจ ุงูู„ุช ู‡ุฐู‡ ุงู„ุงุฑุจุนุฉ

585
00:50:45,650 --> 00:50:48,470
asset ุงู„ู„ูŠ ู‡ูˆ verifying the language generated by

586
00:50:48,470 --> 00:50:52,540
grammarูˆ ู†ุทู„ุน ุนู„ู‰ .. ุจุฑุถู‡ ูƒู…ุงู† ุงู„ context free

587
00:50:52,540 --> 00:50:56,640
grammars versus irregular expressions ุจุฑุถู‡ ุจุฏูŠ

588
00:50:56,640 --> 00:51:03,460
ุฃุชุฑูƒู‡ุง ู‡ูŠ ุจุณ ู„ุงุญุธุฉ ุตุบูŠุฑุฉ ุงู†ู‡ ู„ูŠุด ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง

589
00:51:06,120 --> 00:51:10,900
ู„ูŠุด ุจูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง .. ู‡ูˆ ุจุณ ุจูŠุนู„ู‚ ุนู„ู‰ ุงู„ูุตู„ ู…ุง ุจูŠู†

590
00:51:10,900 --> 00:51:15,020
ุดุบู„ ุงู„ .. ุดุบู„ ุงู„ syntax analysis ู…ูุตูˆู„ ุนู† ุงู„

591
00:51:15,020 --> 00:51:18,640
lexical analysis ูˆ ู‡ู†ุงูƒ ู…ุณุชุฎุฏู… regular expressions

592
00:51:18,640 --> 00:51:23,600
ูˆ ู‡ู†ุง ู…ุณุชุฎุฏู… grammar ู„ูŠุด ุจูŠุจู‚ู‰ ุงู„ grammar ุงูˆ

593
00:51:23,600 --> 00:51:27,680
regular expression ู„ู„ู…ุณุชูˆูŠูŠู†ุŸ

594
00:51:27,680 --> 00:51:32,380
ุจุฑูŠุฏูƒ ุงู†ู‡ ูุนู„ุง ููŠ ุนู†ุฏูŠ ุฃู†ุญู„ุงุช ุงู†ู‡ ู‡ุฐุง ุงู„ regular

595
00:51:32,380 --> 00:51:36,580
expression ุจู‚ุฏุฑ ุฃุจู‚ู‰ ุนู„ู‰ ุดูƒู„ grammarูู„ูŠุด ู…ุง ูŠูƒูˆู†

596
00:51:36,580 --> 00:51:40,900
ุฎู„ุงุต ุณูˆุงุก lexical analysis ูˆู„ุง syntax analysis

597
00:51:40,900 --> 00:51:47,140
ู†ุณุชุฎุฏู… grammar ู„ูŠุด ู‡ู†ุงูƒ ู†ุณุชุฎุฏู… regular expressions

598
00:51:47,140 --> 00:51:50,900
ูˆ ู‡ู†ุงูƒ ู†ุณุชุฎุฏู… grammar ู…ุฒุงู„ ุงู„ grammar ุจุชุณุฏ ุงู„ุบู„ุท

599
00:51:50,900 --> 00:51:58,640
ุจุชุฃุฏูŠ ุงู„ุบู„ุท ู„ู„ lexical ุชู…ุงู… ูู‡ูˆ ุจูŠุจุฏุฃ ูŠุญุชุงุฌ

600
00:51:58,640 --> 00:52:04,280
ุงู„ู…ุฒุงูŠุง ุงู„ context free grammar ุนู„ู‰ ุงู„ุจุงุฎุชุตุงุฑ ุงู„

601
00:52:04,280 --> 00:52:09,240
regular expression ุจูŠุคุฏูŠ ุบุฑุถ ุงู„ lexical analysis ุจ

602
00:52:09,240 --> 00:52:15,760
efficiency ูŠุนู†ูŠ ุจู‚ุฏุฑ ูƒุจูŠุฑ ูŠุนู†ูŠ ุจูŠุคุฏูŠ ุงู„ุบุฑุถ ูˆ ุจุฏูˆู†

603
00:52:15,760 --> 00:52:19,920
ุฃูŠ ุงู„ุญุงุฌุฉ ุฅู„ู‰ ุชุนุฑูŠู productions ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆ ุงู„

604
00:52:19,920 --> 00:52:25,440
grammar ุจุชุคุฏูŠ ุงู„ุบุฑุถ ุชุจุน ุงู„ syntax analysis ุจุดูƒู„

605
00:52:25,440 --> 00:52:31,230
ุฃูุถู„ ู…ู† ุงู„ regular expressionsุซู… ุงู† ุงู„ูุตู„ ู‡ุฐุง ุนู†

606
00:52:31,230 --> 00:52:40,250
ู‡ุฐุง ุจูŠุนุทูŠู†ุง ุฅู…ูƒุงู†ูŠุฉ ุงู† ู†ุจู†ูŠ ุงู„ analyzer ุจู…ู†ุนุฒู„

607
00:52:40,250 --> 00:52:47,870
ุนู† ุงู„ syntax analysis ู„ูˆ ุจุฏู†ุง module ูˆุงุญุฏ ูŠุนู…ู„ ุงู„

608
00:52:47,870 --> 00:52:51,590
syntax analysis ูˆ ุงู„ lexical analysis ู‡ุชุตูŠุฑ

609
00:52:51,590 --> 00:52:58,090
ุงู„ู…ุณุฃู„ุฉ ู…ุนู‚ุฏุฉู…ุนู‚ุฏุฉ ูƒุซูŠุฑ ู„ู…ุง ูŠู†ูุตู„ lexical analysis

610
00:52:58,090 --> 00:53:02,690
ุนู† ุงู„ syntax analysis ูŠุนุทูŠู†ุง modularity ูŠุนู†ูŠ ุงู„ู„ูŠ

611
00:53:02,690 --> 00:53:08,340
ุงุชู…ูƒู†ู†ุง ู…ู† ุจู†ุงุก ุงู„ compiler ุจุดูƒู„ ุฃุฑูŠุญุงู„ู„ูŠ ู‡ูˆ ุงู† ูƒู„

612
00:53:08,340 --> 00:53:13,120
ูˆุงุญุฏ ูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ tool ุงู„ู…ู†ุงุณุจุฉ ุงู„ lexical

613
00:53:13,120 --> 00:53:17,200
analyzer ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ regular expressions ู…ู†ุงุณุจุฉ

614
00:53:17,200 --> 00:53:21,960
ู„ุบุฑุถู‡ ูˆ ุงู„ syntax analyzer ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ context

615
00:53:21,960 --> 00:53:27,940
free grammar ุงู„ู„ูŠ ู…ู†ุงุณุจุฉ ู„ุบุฑุถู‡ ููŠู…ุง

616
00:53:27,940 --> 00:53:32,900
ูŠุชุนู„ู‚ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ tokens ูˆ ุงู„ุฃุณุงู…ูŠ

617
00:53:35,340 --> 00:53:38,000
ูˆ ุงู„ grammar ุฃูุถู„ ููŠ ุฅูŠุดุŸ ุงู„ grammar ุฃูุถู„ ููŠ ุชุนุจูŠุฑ

618
00:53:38,000 --> 00:53:42,740
ุนู† ุงู„ syntax ุงู„ syntax ุชุจุนุช ุงู„ ุฅูŠุดุŸ ุชุจุนุช ุงู„

619
00:53:42,740 --> 00:53:51,920
statements ูˆ ุงู„ .. ุงู†ุช ุนุงุฑู ูƒูŠูุŸ ูŠุนู†ูŠ ุงู„ regular

620
00:53:51,920 --> 00:53:58,780
expression ู…ุง ุจูŠู‚ุฏุฑ ุบู„ุท ููŠ ุงู„ grammar ุทูŠุจ ููŠ

621
00:53:58,780 --> 00:54:02,000
exercise ููŠ ู†ู‡ุงูŠุฉ section ุฃุฑุจุนุฉ ุงุชู†ูŠู† ู‡ูŠ ูƒู†ุง ู†ู‡ุงูŠุฉ

622
00:54:02,000 --> 00:54:07,650
ุฃุฑุจุนุฉ ุงุชู†ูŠู†ู‡ู†ุงูƒ ู…ุฌุงู„ุงุช ููŠ ู…ุงู†ุนูŠุฉ 4.2 ูŠุฌุจ ุฃู† ู†ู†ุธุฑ

623
00:54:07,650 --> 00:54:13,970
ุนู„ูŠู‡ุง ู„ุฃู†ู‡ ููŠู‡ุง ู…ุณุงุฆู„ ูƒุซูŠุฑุฉ ู„ูƒูŠู ู†ู‚ูˆู… ุจุนู…ู„

624
00:54:13,970 --> 00:54:18,170
derivation ูˆ parse ุงู„ trees ุจู†ุงุก ุนู„ู‰ ุงู„ grammar

625
00:54:18,170 --> 00:54:23,490
ุฎุงุตุฉ ุงุญู†ุง ู‡ูŠูƒ ุจู†ูƒูˆู† ุบุทูŠู†ุง section 4.1 ูˆ 4.2

626
00:54:24,060 --> 00:54:27,640
ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุณู†ุจุฏุฃ ููŠ ุฃุฑุจุนุฉ ุฃูˆ ุชู„ุงุชุฉ ูˆู†ุดูˆู

627
00:54:27,640 --> 00:54:36,080
ุทุจูŠุนุฉ left recursion ุซู… ู†ุจุฏุฃ ู†ุญูƒูŠ ููŠ ุงู„ top-down

628
00:54:36,080 --> 00:54:38,780
parsing ูˆ ุงู„ bottom-up parsing