File size: 127,043 Bytes
ffaa9fc
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
from __future__ import print_function
from ._common import *
from ._constant import NamedConstant
from ._tuple import NamedTuple
from collections import defaultdict
import sys as _sys

__all__ = [
        'bit_count', 'is_single_bit', 'bin', 'property', 'bits',
        'AddValue', 'MagicValue', 'MultiValue', 'NoAlias', 'Unique', 'enum', 'auto',
        'AddValueEnum', 'MultiValueEnum', 'NoAliasEnum', 'UniqueEnum', 'AutoNumberEnum',
        'OrderedEnum', 'unique', 'no_arg', 'extend_enum', 'enum_property',
        'EnumType', 'EnumMeta', 'EnumDict', 'Enum', 'IntEnum', 'StrEnum', 'Flag', 'IntFlag',
        'LowerStrEnum', 'UpperStrEnum', 'ReprEnum', 'SqliteEnum', 'sqlite3',
        'FlagBoundary', 'STRICT', 'CONFORM', 'EJECT', 'KEEP',
        'add_stdlib_integration', 'remove_stdlib_integration',
        'export', 'cls2module', '_reduce_ex_by_name', 'show_flag_values',
        ]
        

_bltin_bin = bin

try:
    import sqlite3
except ImportError:
    sqlite3 = None
    __all__.remove('SqliteEnum')

try:
    RecursionError
except NameError:
    # python3.4
    RecursionError = RuntimeError


try:
    any
except NameError:
    def any(iterable):
        for element in iterable:
            if element:
                return True
        return False

# derive from stdlib enum if possible
stdlib_enums = ()
try:
    import enum
    if hasattr(enum, 'version'):
        raise ImportError('wrong version')
    else:
        from enum import EnumMeta as StdlibEnumMeta, Enum as StdlibEnum, IntEnum as StdlibIntEnum
        StdlibFlag = StdlibIntFlag = StdlibStrEnum = StdlibReprEnum = None
        stdlib_enums = StdlibEnum, StdlibIntEnum
except ImportError:
    StdlibEnumMeta = StdlibEnum = StdlibIntEnum = StdlibIntFlag = StdlibFlag = StdlibStrEnum = StdlibStrEnum = StdlibReprEnum = None

if StdlibEnum:
    try:
        from enum import IntFlag as StdlibIntFlag, Flag as StdlibFlag
        stdlib_enums += StdlibFlag, StdlibIntFlag
    except ImportError:
        pass
    try:
        from enum import StrEnum as StdlibStrEnum
        stdlib_enums += (StdlibStrEnum, )
    except ImportError:
        pass
    try:
        from enum import ReprEnum as StdlibReprEnum
        stdlib_enums += (StdlibReprEnum, )
    except ImportError:
        pass

# will be exported later
MagicValue = AddValue = MultiValue = NoAlias = Unique = None

def export(collection, namespace=None):
    """
    export([collection,] namespace) -> Export members to target namespace.

    If collection is not given, act as a decorator.
    """
    if namespace is None:
        namespace = collection
        def export_decorator(collection):
            return export(collection, namespace)
        return export_decorator
    elif issubclass(collection, NamedConstant):
        for n, c in collection.__dict__.items():
            if isinstance(c, NamedConstant):
                namespace[n] = c
    elif issubclass(collection, Enum) or stdlib_enums and issubclass(collection, stdlib_enums):
        data = collection.__members__.items()
        for n, m in data:
            namespace[n] = m
    else:
        raise TypeError('%r is not a supported collection' % (collection,) )
    return collection

def bit_count(num):
    """
    return number of set bits

    Counting bits set, Brian Kernighan's way*

        unsigned int v;          // count the number of bits set in v
        unsigned int c;          // c accumulates the total bits set in v
        for (c = 0; v; c++)
        {   v &= v - 1;  }       //clear the least significant bit set

    This method goes through as many iterations as there are set bits. So if we
    have a 32-bit word with only the high bit set, then it will only go once
    through the loop.

    * The C Programming Language 2nd Ed., Kernighan & Ritchie, 1988.

    This works because each subtraction "borrows" from the lowest 1-bit. For
    example:

          loop pass 1     loop pass 2
          -----------     -----------
               101000          100000
             -      1        -      1
             = 100111        = 011111
             & 101000        & 100000
             = 100000        =      0

    It is an excellent technique for Python, since the size of the integer need
    not be determined beforehand.

    (from https://wiki.python.org/moin/BitManipulation)
    """
    count = 0
    while num:
        num &= num - 1
        count += 1
    return count

def is_single_bit(value):
    """
    True if only one bit set in value (should be an int)
    """
    if value == 0:
        return False
    value &= value - 1
    return value == 0

def _iter_bits_lsb(value):
    """
    Return each bit value one at a time.

    >>> list(_iter_bits_lsb(6))
    [2, 4]
    """

    while value:
        bit = value & (~value + 1)
        yield bit
        value ^= bit

def bin(value, max_bits=None):
    """
    Like built-in bin(), except negative values are represented in
    twos-compliment, and the leading bit always indicates sign
    (0=positive, 1=negative).

    >>> bin(10)
    '0b0 1010'
    >>> bin(~10)   # ~10 is -11
    '0b1 0101'
    """

    ceiling = 2 ** (value).bit_length()
    if value >= 0:
        s = _bltin_bin(value + ceiling).replace('1', '0', 1)
    else:
        s = _bltin_bin(~value ^ (ceiling - 1) + ceiling)
    sign = s[:3]
    digits = s[3:]
    if not digits:
        digits = '0'
    if max_bits is not None:
        if len(digits) < max_bits:
            digits = (sign[-1] * max_bits + digits)[-max_bits:]
    return "%s %s" % (sign, digits)

def show_flag_values(value):
    return list(_iter_bits_lsb(value))


try:
    from types import DynamicClassAttribute
    base = DynamicClassAttribute
except ImportError:
    base = object
    DynamicClassAttribute = None

class property(base):
    """
    This is a descriptor, used to define attributes that act differently
    when accessed through an enum member and through an enum class.
    Instance access is the same as property(), but access to an attribute
    through the enum class will look in the class' _member_map_.
    """

    # inherit from DynamicClassAttribute if we can in order to get `inspect`
    # support

    def __init__(self, fget=None, fset=None, fdel=None, doc=None):
        self.fget = fget
        self.fset = fset
        self.fdel = fdel
        # next two lines make property act the same as bltin_property
        self.__doc__ = doc or fget.__doc__
        self.overwrite_doc = doc is None
        # support for abstract methods
        self.__isabstractmethod__ = bool(getattr(fget, '__isabstractmethod__', False))
        # names, if possible

    def getter(self, fget):
        fdoc = fget.__doc__ if self.overwrite_doc else None
        result = type(self)(fget, self.fset, self.fdel, fdoc or self.__doc__)
        result.overwrite_doc = self.__doc__ is None
        return result

    def setter(self, fset):
        fdoc = fget.__doc__ if self.overwrite_doc else None
        result = type(self)(self.fget, fset, self.fdel, self.__doc__)
        result.overwrite_doc = self.__doc__ is None
        return result

    def deleter(self, fdel):
        fdoc = fget.__doc__ if self.overwrite_doc else None
        result = type(self)(self.fget, self.fset, fdel, self.__doc__)
        result.overwrite_doc = self.__doc__ is None
        return result

    def __repr__(self):
        member = self.ownerclass._member_map_.get(self.name)
        func = self.fget or self.fset or self.fdel
        strings = []
        if member:
            strings.append('%r' % member)
        if func:
            strings.append('function=%s' % func.__name__)
        return 'property(%s)' % ', '.join(strings)

    def __get__(self, instance, ownerclass=None):
        if instance is None:
            try:
                return ownerclass._member_map_[self.name]
            except KeyError:
                raise AttributeError(
                        '%r has no attribute %r' % (ownerclass, self.name)
                        )
        else:
            if self.fget is not None:
                return self.fget(instance)
            else:
                if self.fset is not None:
                    raise AttributeError(
                            'cannot read attribute %r on %r' % (self.name, ownerclass)
                            )
                else:
                    try:
                        return instance.__dict__[self.name]
                    except KeyError:
                        raise AttributeError(
                                '%r member has no attribute %r' % (ownerclass, self.name)
                                )

    def __set__(self, instance, value):
        if self.fset is None:
            if self.fget is not None:
                raise AttributeError(
                        "cannot set attribute %r on <aenum %r>" % (self.name, self.clsname)
                        )
            else:
                instance.__dict__[self.name] = value
        else:
            return self.fset(instance, value)

    def __delete__(self, instance):
        if self.fdel is None:
            if self.fget or self.fset:
                raise AttributeError(
                        "cannot delete attribute %r on <aenum %r>" % (self.name, self.clsname)
                        )
            elif self.name in instance.__dict__:
                del instance.__dict__[self.name]
            else:
                raise AttributeError(
                        "no attribute %r on <aenum %r> member" % (self.name, self.clsname)
                        )
        else:
            return self.fdel(instance)

    def __set_name__(self, ownerclass, name):
        self.name = name
        self.clsname = ownerclass.__name__
        self.ownerclass = ownerclass

_RouteClassAttributeToGetattr = property
if DynamicClassAttribute is None:
    DynamicClassAttribute = property
# deprecated
enum_property = property

# more helpers

class SentinelType(type):
    def __repr__(cls):
        return '<%s>' % cls.__name__
Sentinel = SentinelType('Sentinel', (object, ), {})

def _power_of_two(value):
    if value < 1:
        return False
    return value == 2 ** _high_bit(value)

def bits(num):
    if num in (0, 1):
        return str(num)
    negative = False
    if num < 0:
        negative = True
        num = ~num
    result = bits(num>>1) + str(num&1)
    if negative:
        result = '1' + ''.join(['10'[d=='1'] for d in result])
    return result


def bit_count(num):
    """
        return number of set bits

        Counting bits set, Brian Kernighan's way*

            unsigned int v;          // count the number of bits set in v
            unsigned int c;          // c accumulates the total bits set in v
            for (c = 0; v; c++)
            {   v &= v - 1;  }       //clear the least significant bit set

        This method goes through as many iterations as there are set bits. So if we
        have a 32-bit word with only the high bit set, then it will only go once
        through the loop.

        * The C Programming Language 2nd Ed., Kernighan & Ritchie, 1988.

        This works because each subtraction "borrows" from the lowest 1-bit. For example:

              loop pass 1     loop pass 2
              -----------     -----------
                   101000          100000
                 -      1        -      1
                 = 100111        = 011111
                 & 101000        & 100000
                 = 100000        =      0

        It is an excellent technique for Python, since the size of the integer need not
        be determined beforehand.
    """
    count = 0
    while(num):
        num &= num - 1
        count += 1
    return(count)

def bit_len(num):
    length = 0
    while num:
        length += 1
        num >>= 1
    return length

def is_single_bit(num):
    """
    True if only one bit set in num (should be an int)
    """
    return (num != 0) and (num & (num - 1)) == 0

def _check_auto_args(method):
    """check if new generate method supports *args and **kwds"""
    if isinstance(method, staticmethod):
        method = method.__get__(type)
    method = getattr(method, 'im_func', method)
    args, varargs, keywords, defaults = getargspec(method)
    return varargs is not None and keywords is not None

def enumsort(things):
    """
    sorts things by value if all same type; otherwise by name
    """
    if not things:
        return things
    sort_type = type(things[0])
    if not issubclass(sort_type, tuple):
        # direct sort or type error
        if not all((type(v) is sort_type) for v in things[1:]):
            raise TypeError('cannot sort items of different types')
        return sorted(things)
    else:
        # expecting list of (name, value) tuples
        sort_type = type(things[0][1])
        try:
            if all((type(v[1]) is sort_type) for v in things[1:]):
                return sorted(things, key=lambda i: i[1])
            else:
                raise TypeError('try name sort instead')
        except TypeError:
            return sorted(things, key=lambda i: i[0])

# Enum

    # _init_ and value and AddValue
    # -----------------------------
    # by default, when defining a member everything after the = is "the value", everything is
    #   passed to __new__, everything is passed to __init__
    #
    # if _init_ is present then
    #   if `value` is not in _init_, everything is "the value", defaults apply
    #   if `value` is in _init_, only the first thing after the = is the value, and the rest will
    #       be passed to __init__
    #   if fewer values are present for member assignment than _init_ calls for, _generate_next_value_
    #       will be called in an attempt to generate them
    #
    # if AddValue is present then
    #   _generate_next_value_ is always called, and any generated values are prepended to provided
    #       values (custom _gnv_s can change that)
    #   default _init_ rules apply


    # Constants used in Enum

@export(globals())
class EnumConstants(NamedConstant):
    AddValue = constant('addvalue', 'prepends value(s) from _generate_next_value_ to each member')
    MagicValue = constant('magicvalue', 'calls _generate_next_value_ when no arguments are given')
    MultiValue = constant('multivalue', 'each member can have several values')
    NoAlias = constant('noalias', 'duplicate valued members are distinct, not aliased')
    Unique = constant('unique', 'duplicate valued members are not allowed')
    def __repr__(self):
        return self._name_


    # Dummy value for Enum as EnumType explicity checks for it, but of course until
    # EnumType finishes running the first time the Enum class doesn't exist.  This
    # is also why there are checks in EnumType like `if Enum is not None`.
    #
    # Ditto for Flag.

Enum = ReprEnum = IntEnum = StrEnum = Flag = IntFlag = EJECT = KEEP = None

class enum(object):
    """
    Helper class to track args, kwds.
    """
    def __init__(self, *args, **kwds):
        self._args = args
        self._kwds = dict(kwds.items())
        self._hash = hash(args)
        self.name = None

    @bltin_property
    def args(self):
        return self._args

    @bltin_property
    def kwds(self):
        return self._kwds.copy()

    def __hash__(self):
        return self._hash

    def __eq__(self, other):
        if not isinstance(other, self.__class__):
            return NotImplemented
        return self.args == other.args and self.kwds == other.kwds

    def __ne__(self, other):
        if not isinstance(other, self.__class__):
            return NotImplemented
        return self.args != other.args or self.kwds != other.kwds

    def __repr__(self):
        final = []
        args = ', '.join(['%r' % (a, ) for a in self.args])
        if args:
            final.append(args)
        kwds = ', '.join([('%s=%r') % (k, v) for k, v in enumsort(list(self.kwds.items()))])
        if kwds:
            final.append(kwds)
        return '%s(%s)' % (self.__class__.__name__, ', '.join(final))

_auto_null = SentinelType('no_value', (object, ), {})
class auto(enum):
    """
    Instances are replaced with an appropriate value in Enum class suites.
    """
    enum_member = _auto_null
    _value = _auto_null
    _operations = []

    def __and__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_and_, (self, other)))
        return new_auto

    def __rand__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_and_, (other, self)))
        return new_auto

    def __invert__(self):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_inv_, (self,)))
        return new_auto

    def __or__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_or_, (self, other)))
        return new_auto

    def __ror__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_or_, (other, self)))
        return new_auto

    def __xor__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_xor_, (self, other)))
        return new_auto

    def __rxor__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_xor_, (other, self)))
        return new_auto

    def __abs__(self):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_abs_, (self, )))
        return new_auto

    def __add__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_add_, (self, other)))
        return new_auto

    def __radd__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_add_, (other, self)))
        return new_auto

    def __neg__(self):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_neg_, (self, )))
        return new_auto

    def __pos__(self):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_pos_, (self, )))
        return new_auto

    if PY2:
        def __div__(self, other):
            new_auto = self.__class__()
            new_auto._operations = self._operations[:]
            new_auto._operations.append((_div_, (self, other)))
            return new_auto

    def __rdiv__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_div_, (other, self)))
        return new_auto

    def __floordiv__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_floordiv_, (self, other)))
        return new_auto

    def __rfloordiv__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_floordiv_, (other, self)))
        return new_auto

    def __truediv__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_truediv_, (self, other)))
        return new_auto

    def __rtruediv__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_truediv_, (other, self)))
        return new_auto

    def __lshift__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_lshift_, (self, other)))
        return new_auto

    def __rlshift__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_lshift_, (other, self)))
        return new_auto

    def __rshift__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_rshift_, (self, other)))
        return new_auto

    def __rrshift__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_rshift_, (other, self)))
        return new_auto

    def __mod__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_mod_, (self, other)))
        return new_auto

    def __rmod__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_mod_, (other, self)))
        return new_auto

    def __mul__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_mul_, (self, other)))
        return new_auto

    def __rmul__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_mul_, (other, self)))
        return new_auto

    def __pow__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_pow_, (self, other)))
        return new_auto

    def __rpow__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_pow_, (other, self)))
        return new_auto

    def __sub__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_sub_, (self, other)))
        return new_auto

    def __rsub__(self, other):
        new_auto = self.__class__()
        new_auto._operations = self._operations[:]
        new_auto._operations.append((_sub_, (other, self)))
        return new_auto

    def __repr__(self):
        if self._operations:
            return 'auto(...)'
        else:
            return 'auto(%r, *%r, **%r)' % (self._value, self._args, self._kwds)

    @bltin_property
    def value(self):
        if self._value is not _auto_null and self._operations:
            raise TypeError('auto() object out of sync')
        elif self._value is _auto_null and not self._operations:
            return self._value
        elif self._value is not _auto_null:
            return self._value
        else:
            return self._resolve()

    @value.setter
    def value(self, value):
        if self._operations:
            value = self._resolve(value)
        self._value = value

    def _resolve(self, base_value=None):
            cls = self.__class__
            for op, params in self._operations:
                values = []
                for param in params:
                    if isinstance(param, cls):
                        if param.value is _auto_null:
                            if base_value is None:
                                return _auto_null
                            else:
                                values.append(base_value)
                        else:
                            values.append(param.value)
                    else:
                        values.append(param)
                value = op(*values)
            self._operations[:] = []
            self._value = value
            return value

from . import _common
_common.property = property
_common.auto = auto
del _common


class _EnumArgSpec(NamedTuple):
    args = 0, 'all args except *args and **kwds'
    varargs = 1, 'the name of the *args variable'
    keywords = 2, 'the name of the **kwds variable'
    defaults = 3, 'any default values'
    required = 4, 'number of required values (no default available)'

    def __new__(cls, _new_func):
        argspec = getargspec(_new_func)
        args, varargs, keywords, defaults = argspec
        if defaults:
            reqs = args[1:-len(defaults)]
        else:
            reqs = args[1:]
        return tuple.__new__(_EnumArgSpec, (args, varargs, keywords, defaults, reqs))


class _proto_member:
    """
    intermediate step for enum members between class execution and final creation
    """

    def __init__(self, value):
        self.value = value

    def __set_name__(self, enum_class, member_name):
        """
        convert each quasi-member into an instance of the new enum class
        """
        # first step: remove ourself from enum_class
        delattr(enum_class, member_name)
        # second step: create member based on enum_class
        value = self.value
        kwds = {}
        args = ()
        init_args = ()
        extra_mv_args = ()
        multivalue = None
        if isinstance(value, tuple) and value and isinstance(value[0], auto):
            multivalue = value
            value = value[0]
        if isinstance(value, auto) and value.value is _auto_null:
            args = value.args
            kwds = value.kwds
        elif isinstance(value, auto):
            kwds = value.kwds
            args = (value.value, ) + value.args
            value = value.value
        elif isinstance(value, enum):
            args = value.args
            kwds = value.kwds
        elif isinstance(value, Member):
            value = value.value
            args = (value, )
        elif not isinstance(value, tuple):
            args = (value, )
        else:
            args = value
        if multivalue is not None:
            value = (value, ) + multivalue[1:]
            kwds = {}
            args = value
            del multivalue
        # possibilities
        #
        # - no init, multivalue  -> __new__[0], __init__(*[:]), extra=[1:]
        # - init w/o value, multivalue  -> __new__[0], __init__(*[:]), extra=[1:]
        #
        # - init w/value, multivalue  -> __new__[0], __init__(*[1:]),  extra=[1:]
        #
        # - init w/value, no multivalue  -> __new__[0], __init__(*[1:]), extra=[]
        #
        # - init w/o value, no multivalue  -> __new__[:], __init__(*[:]), extra=[]
        # - no init, no multivalue  ->  __new__[:], __init__(*[:]), extra=[]
        if enum_class._multivalue_ or 'value' in enum_class._creating_init_:
            if enum_class._multivalue_:
                # when multivalue is True, creating_init can be anything
                mv_arg = args[0]
                extra_mv_args = args[1:]
                if 'value' in enum_class._creating_init_:
                    init_args = args[1:]
                else:
                    init_args = args
                args = args[0:1]
                value = args[0]
            else:
                # 'value' is definitely in creating_init
                if enum_class._auto_init_ and enum_class._new_args_:
                    # we have a custom __new__ and an auto __init__
                    # divvy up according to number of params in each
                    init_args = args[-len(enum_class._creating_init_)+1:]
                    if not enum_class._auto_args_:
                        args = args[:len(enum_class._new_args_.args)]
                    value = args[0]
                elif enum_class._auto_init_:
                    # don't pass in value
                    init_args = args[1:]
                    args = args[0:1]
                    value = args[0]
                elif enum_class._new_args_:
                    # do not modify args
                    value = args[0]
                else:
                    # keep all args for user-defined __init__
                    # keep value as-is
                    init_args = args
        else:
            # either no creating_init, or it doesn't have 'value'
            init_args = args
        if enum_class._member_type_ is tuple:   # special case for tuple enums
            args = (args, )     # wrap it one more time
        if not enum_class._use_args_:
            enum_member = enum_class._new_member_(enum_class)
        else:
            enum_member = enum_class._new_member_(enum_class, *args, **kwds)
        if not hasattr(enum_member, '_value_'):
            if enum_class._member_type_ is object:
                enum_member._value_ = value
            else:
                try:
                    enum_member._value_ = enum_class._member_type_(*args, **kwds)
                except Exception as exc:
                    te = TypeError('_value_ not set in __new__, unable to create it')
                    te.__cause__ = exc
                    raise te
        value = enum_member._value_
        enum_member._name_ = member_name
        enum_member.__objclass__ = enum_class
        enum_member.__init__(*init_args, **kwds)
        enum_member._sort_order_ = len(enum_class._member_names_)

        if Flag is not None and issubclass(enum_class, Flag):
            enum_class._flag_mask_ |= value
            if is_single_bit(value):
                enum_class._singles_mask_ |= value
            enum_class._all_bits_ = 2 ** ((enum_class._flag_mask_).bit_length()) - 1

        # If another member with the same value was already defined, the
        # new member becomes an alias to the existing one.
        if enum_class._noalias_:
            # unless NoAlias was specified
            enum_class._member_names_.append(member_name)
        else:
            nonunique = defaultdict(list)
            try:
                try:
                    # try to do a fast lookup to avoid the quadratic loop
                    enum_member = enum_class._value2member_map_[value]
                    if enum_class._unique_:
                        nonunique[enum_member.name].append(member_name)
                except TypeError:
                    # unhashable members are stored elsewhere
                    for unhashable_value, canonical_member in enum_class._value2member_seq_:
                        name = canonical_member.name
                        if unhashable_value == enum_member._value_:
                            if enum_class._unique_:
                                nonunique[name].append(member_name)
                            enum_member = canonical_member
                            break
                    else:
                        raise KeyError
            except KeyError:
                # this could still be an alias if the value is multi-bit and the
                # class is a flag class
                if (
                        Flag is None
                        or not issubclass(enum_class, Flag)
                    ):
                    # no other instances found, record this member in _member_names_
                    enum_class._member_names_.append(member_name)
                elif (
                        Flag is not None
                        and issubclass(enum_class, Flag)
                        and is_single_bit(value)
                    ):
                    # no other instances found, record this member in _member_names_
                    enum_class._member_names_.append(member_name)
            if nonunique:
                # duplicates not allowed if Unique specified
                message = []
                for name, aliases in nonunique.items():
                    bad_aliases = ','.join(aliases)
                    message.append('%s --> %s [%r]' % (name, bad_aliases, enum_class[name].value))
                raise ValueError(
                        '%s: duplicate names found: %s' %
                            (enum_class.__name__, ';  '.join(message))
                        )
        # if self.value is an `auto()`, replace the value attribute with the new enum member
        if isinstance(self.value, auto):
            self.value.enum_member = enum_member
        # if necessary, get redirect in place and then add it to _member_map_
        found_descriptor = None
        descriptor_type = None
        class_type = None
        for base in enum_class.__mro__[1:]:
            attr = base.__dict__.get(member_name)
            if attr is not None:
                if isinstance(attr, (property, DynamicClassAttribute)):
                    found_descriptor = attr
                    class_type = base
                    descriptor_type = 'enum'
                    break
                elif is_descriptor(attr):
                    found_descriptor = attr
                    descriptor_type = descriptor_type or 'desc'
                    class_type = class_type or base
                    continue
                else:
                    descriptor_type = 'attr'
                    class_type = base
        if found_descriptor:
            redirect = property()
            redirect.member = enum_member
            redirect.__set_name__(enum_class, member_name)
            if descriptor_type in ('enum','desc'):
                # earlier descriptor found; copy fget, fset, fdel to this one.
                redirect.fget = getattr(found_descriptor, 'fget', None)
                redirect._get = getattr(found_descriptor, '__get__', None)
                redirect.fset = getattr(found_descriptor, 'fset', None)
                redirect._set = getattr(found_descriptor, '__set__', None)
                redirect.fdel = getattr(found_descriptor, 'fdel', None)
                redirect._del = getattr(found_descriptor, '__delete__', None)
            redirect._attr_type = descriptor_type
            redirect._cls_type = class_type
            setattr(enum_class, member_name, redirect)
        else:
            setattr(enum_class, member_name, enum_member)
        # now add to _member_map_ (even aliases)
        enum_class._member_map_[member_name] = enum_member
        #
        # process (possible) MultiValues
        values = (value, ) + extra_mv_args
        if enum_class._multivalue_ and mv_arg not in values:
            values += (mv_arg, )
        enum_member._values_ = values
        for value in values:
            # first check if value has already been used
            if enum_class._multivalue_ and (
                    value in enum_class._value2member_map_
                    or any(v == value for (v, m) in enum_class._value2member_seq_)
                    ):
                raise ValueError('%r has already been used' % (value, ))
            try:
                # This may fail if value is not hashable. We can't add the value
                # to the map, and by-value lookups for this value will be
                # linear.
                if enum_class._noalias_:
                    raise TypeError('cannot use dict to store value')
                enum_class._value2member_map_[value] = enum_member
            except TypeError:
                enum_class._value2member_seq_ += ((value, enum_member), )

class EnumDict(dict):
    """Track enum member order and ensure member names are not reused.

    EnumType will use the names found in self._member_names as the
    enumeration member names.
    """
    def __init__(self, cls_name, settings, start, constructor_init, constructor_start, constructor_boundary):
        super(EnumDict, self).__init__()
        self._cls_name = cls_name
        self._constructor_init = constructor_init
        self._constructor_start = constructor_start
        self._constructor_boundary = constructor_boundary
        self._generate_next_value = None
        self._member_names = []
        self._member_names_set = set()
        self._settings = settings
        self._addvalue = addvalue = AddValue in settings
        self._magicvalue = MagicValue in settings
        self._multivalue = MultiValue in settings
        if self._addvalue and self._magicvalue:
            raise TypeError('%r: AddValue and MagicValue are mutually exclusive' % cls_name)
        if self._multivalue and self._magicvalue:
            raise TypeError('%r: MultiValue and MagicValue are mutually exclusive' % cls_name)
        self._start = start
        self._addvalue_value = start
        self._new_args = ()
        self._auto_args = False
        # when the magic turns off
        self._locked = MagicValue not in settings
        # if init fields are specified
        self._init = []
        # list of temporary names
        self._ignore = []
        if self._magicvalue:
            self._ignore = ['property', 'staticmethod', 'classmethod']
        self._ignore_init_done = False
        # if _sunder_ values can be changed via the class body
        self._allow_init = True
        self._last_values = []
        self._auto_called = False

    def __getitem__(self, key):
        if key == self._cls_name and self._cls_name not in self:
            return enum
        elif (
                self._locked
                or key in self
                or key in self._ignore
                or is_sunder(key)
                or is_dunder(key)
                ):
            return super(EnumDict, self).__getitem__(key)
        elif self._magicvalue:
            value = self._generate_next_value(key, self._start, len(self._member_names), self._last_values[:])
            self.__setitem__(key, value)
            return value
        else:
            raise Exception('Magic is not set -- why am I here?')

    def __setitem__(self, key, value):
        """Changes anything not sundured, dundered, nor a descriptor.

        If an enum member name is used twice, an error is raised; duplicate
        values are not checked for.

        Single underscore (sunder) names are reserved.
        """
        # Flag classes that have MagicValue and __new__ will get a generated _gnv_
        #
        # if auto() is used in a tuple, auto_store becomes False
        auto_store = True
        if is_internal_class(self._cls_name, value):
            pass
        elif is_private_name(self._cls_name, key):
            pass
        elif is_sunder(key):
            if key not in (
                    '_init_', '_settings_', '_order_', '_ignore_', '_start_',
                    '_create_pseudo_member_', '_create_pseudo_member_values_',
                    '_generate_next_value_', '_boundary_', '_numeric_repr_',
                    '_missing_', '_missing_value_', '_missing_name_',
                    '_iter_member_', '_iter_member_by_value_', '_iter_member_by_def_',
                    ):
                raise ValueError('%r: _sunder_ names, such as %r, are reserved for future Enum use'
                        % (self._cls_name, key)
                        )
            elif not self._allow_init and key not in (
                    'create_pseudo_member_', '_missing_', '_missing_value_', '_missing_name_',
                ):
                # sunder is used during creation, must be specified first
                raise ValueError('%r: cannot set %r after init phase' % (self._cls_name, key))
            elif key == '_ignore_':
                if self._ignore_init_done:
                    raise TypeError('%r: ignore can only be specified once' % self._cls_name)
                if isinstance(value, basestring):
                    value = value.split()
                else:
                    value = list(value)
                self._ignore = value
                already = set(value) & self._member_names_set
                if already:
                    raise ValueError('%r: _ignore_ cannot specify already set names %s' % (
                            self._cls_name,
                            ', '.join(repr(a) for a in already)
                            ))
                self._ignore_init_done = True
            elif key == '_boundary_':
                if self._constructor_boundary:
                    raise TypeError('%r: boundary specified in constructor and class body' % self._cls_name)
            elif key == '_start_':
                if self._constructor_start:
                    raise TypeError('%r: start specified in constructor and class body' % self._cls_name)
                self._start = value
            elif key == '_settings_':
                if not isinstance(value, (set, tuple)):
                    value = (value, )
                if not isinstance(value, set):
                    value = set(value)
                self._settings |= value
                if NoAlias in value and Unique in value:
                    raise TypeError('%r: NoAlias and Unique are mutually exclusive' % self._cls_name)
                elif MultiValue in value and NoAlias in value:
                    raise TypeError('cannot specify both MultiValue and NoAlias' % self._cls_name)
                allowed_settings = dict.fromkeys(['addvalue', 'magicvalue', 'noalias', 'unique', 'multivalue'])
                for arg in self._settings:
                    if arg not in allowed_settings:
                        raise TypeError('%r: unknown qualifier %r (from %r)' % (self._cls_name, arg, value))
                    allowed_settings[arg] = True
                self._multivalue = allowed_settings['multivalue']
                self._addvalue = allowed_settings['addvalue']
                self._magicvalue = allowed_settings['magicvalue']
                self._locked = not self._magicvalue
                if self._magicvalue and not self._ignore_init_done:
                    self._ignore = ['property', 'classmethod', 'staticmethod']
                if self._addvalue and self._init and 'value' not in self._init:
                    self._init.insert(0, 'value')
                value = tuple(self._settings)
            elif key == '_init_':
                if self._constructor_init:
                    raise TypeError('%r: init specified in constructor and in class body' % self._cls_name)
                _init_ = value
                if isinstance(_init_, basestring):
                    _init_ = _init_.replace(',',' ').split()
                if self._addvalue and 'value' not in self._init:
                    self._init.insert(0, 'value')
                if self._magicvalue:
                    raise TypeError("%r: _init_ and MagicValue are mutually exclusive" % self._cls_name)
                self._init = _init_
                value = _init_
            elif key == '_generate_next_value_':
                # check if members already defined as auto()
                if self._auto_called:
                    raise TypeError("_generate_next_value_ must be defined before members")
                gnv = value
                if value is not None:
                    if isinstance(value, staticmethod):
                        gnv = value.__func__
                    elif isinstance(value, classmethod):
                        raise TypeError('%r: _generate_next_value must be a staticmethod, not a classmethod' % self._cls_name)
                    else:
                        gnv = value
                        value = staticmethod(value)
                    self._auto_args = _check_auto_args(value)
                setattr(self, '_generate_next_value', gnv)
        elif is_dunder(key):
            if key == '__order__':
                key = '_order_'
                if not self._allow_init:
                    # _order_ is used during creation, must be specified first
                    raise ValueError('%r: cannot set %r after init phase' % (self._cls_name, key))
            elif key == '__new__':  # and self._new_to_init:
                if isinstance(value, staticmethod):
                    value = value.__func__
                self._new_args = _EnumArgSpec(value)
            elif key == '__init_subclass__':
                if not isinstance(value, classmethod):
                    value = classmethod(value)
            if is_descriptor(value):
                self._locked = True
        elif key in self._member_names_set:
            # descriptor overwriting an enum?
            raise TypeError('%r: attempt to reuse name: %r' % (self._cls_name, key))
        elif key in self._ignore:
            pass
        elif not is_descriptor(value):
            self._allow_init = False
            if key in self:
                # enum overwriting a descriptor?
                raise TypeError('%r: %s already defined as %r' % (self._cls_name, key, self[key]))
            if type(value) is enum:
                value.name = key
                if self._addvalue:
                    raise TypeError('%r: enum() and AddValue are incompatible' % self._cls_name)
            elif self._addvalue and not self._multivalue:
                # generate a value
                value = self._gnv(key, value)
            elif self._multivalue:
                # make sure it's a tuple
                if not type(value) is tuple:
                    value = (value, )
                if isinstance(value[0], auto):
                    value = (self._convert_auto(key, value[0]), ) + value[1:]
                if self._addvalue:
                    value = self._gnv(key, value)
            elif isinstance(value, auto):
                value = self._convert_auto(key, value)
            elif type(value) is tuple and any(isinstance(v, auto) for v in value):
                # insist on an actual tuple, no subclasses, in keeping with only supporting
                # top-level auto() usage (not contained in any other data structure)
                auto_valued = []
                for v in value:
                    if isinstance(v, auto):
                        auto_store = False
                        v = self._convert_auto(key, v)
                        v = v.value
                        self._last_values.append(v)
                    auto_valued.append(v)
                value = tuple(auto_valued)
            elif not isinstance(value, auto):
                # call generate maybe if
                # - init is specified; or
                # - __new__ is specified;
                # and either of them call for more values than are present
                new_args = () or self._new_args and self._new_args.required
                target_len = len(self._init or new_args)
                if isinstance(value, tuple):
                    source_len = len(value)
                else:
                    source_len = 1
                multi_args = len(self._init) > 1 or new_args
                if source_len < target_len :
                    value = self._gnv(key, value)
            else:
                pass
            if self._init:
                if isinstance(value, auto):
                    test_value = value.args
                elif not isinstance(value, tuple):
                    test_value = (value, )
                else:
                    test_value = value
                if len(self._init) != len(test_value):
                    raise TypeError(
                            '%s.%s: number of fields provided do not match init [%r != %r]'
                            % (self._cls_name, key, self._init, test_value)
                            )
            self._member_names.append(key)
            self._member_names_set.add(key)
        else:
            # not a new member, turn off the autoassign magic
            self._locked = True
            self._allow_init = False
        if not (is_sunder(key) or is_dunder(key) or is_private_name(self._cls_name, key) or is_descriptor(value)):
            if not auto_store:
                # reset for next pass
                auto_store = True
            elif isinstance(value, auto):
                self._last_values.append(value.value)
            elif type(value) is tuple:
                if value:
                    if isinstance(value[0], auto):
                        self._last_values.append(value[0].value)
                    else:
                        self._last_values.append(value[0])
            else:
                self._last_values.append(value)
        super(EnumDict, self).__setitem__(key, value)

    def _convert_auto(self, key, value):
        # if auto.args or auto.kwds, compare to _init_ and __new__ -- if lacking, call gnv
        # if not auto.args|kwds but auto.value is _auto_null -- call gnv
        if value.args or value.kwds or value.value is _auto_null:
            if value.args or value.kwds:
                values = value.args
            else:
                values = ()
            new_args = () or self._new_args and self._new_args.required
            target_len = len(self._init or new_args) or 1
            if type(values) is tuple:
                source_len = len(values)
            else:
                source_len = 1
            multi_args = len(self._init) > 1 or new_args
            if source_len < target_len :
                values = self._gnv(key, values)
                self._auto_called = True
                if value.args:
                    value._args = values
                else:
                    value.value = values
        return value

    def _gnv(self, key, value):
        # generate a value
        if self._auto_args:
            if not isinstance(value, tuple):
                value = (value, )
            value = self._generate_next_value(key, self._start, len(self._member_names), self._last_values[:], *value)
        else:
            value = self._generate_next_value(key, self._start, len(self._member_names), self._last_values[:])
        if isinstance(value, tuple) and len(value) == 1:
            value = value[0]
        return value


no_arg = SentinelType('no_arg', (type, ), {})
class EnumType(type):
    """Metaclass for Enum"""

    @classmethod
    def __prepare__(metacls, cls, bases, init=None, start=None, settings=(), boundary=None, **kwds):
        metacls._check_for_existing_members_(cls, bases)
        if Flag is None and cls == 'Flag':
            initial_flag = True
        else:
            initial_flag = False
        # settings are a combination of current and all past settings
        constructor_init = init is not None
        constructor_start = start is not None
        constructor_boundary = boundary is not None
        if not isinstance(settings, tuple):
            settings = settings,
        settings = set(settings)
        generate = None
        order = None
        # inherit previous flags
        member_type, first_enum = metacls._get_mixins_(cls, bases)
        if first_enum is not None:
            generate = getattr(first_enum, '_generate_next_value_', None)
            generate = getattr(generate, 'im_func', generate)
            settings |= metacls._get_settings_(bases)
            init = init or first_enum._auto_init_[:]
            order = first_enum._order_function_
            if start is None:
                start = first_enum._start_
        else:
            # first time through -- creating Enum itself
            start = 1
        # check for custom settings
        if AddValue in settings and init and 'value' not in init:
            if isinstance(init, list):
                init.insert(0, 'value')
            else:
                init = 'value ' + init
        if NoAlias in settings and Unique in settings:
            raise TypeError('%r: NoAlias and Unique are mutually exclusive' % cls)
        if MultiValue in settings and NoAlias in settings:
            raise TypeError('%r: MultiValue and NoAlias are mutually exclusive' % cls)
        allowed_settings = dict.fromkeys(['addvalue', 'magicvalue', 'noalias', 'unique', 'multivalue'])
        for arg in settings:
            if arg not in allowed_settings:
                raise TypeError('%r: unknown qualifier %r' % (cls, arg))
        enum_dict = EnumDict(cls_name=cls, settings=settings, start=start, constructor_init=constructor_init, constructor_start=constructor_start, constructor_boundary=constructor_boundary)
        enum_dict._member_type = member_type
        enum_dict._base_type = ('enum', 'flag')[
                Flag is None and cls == 'Flag'
                or
                Flag is not None and any(issubclass(b, Flag) for b in bases)
                ]
        if Flag is not None and any(b is Flag for b in bases) and member_type not in (baseinteger + (object, )):
            if Flag in bases:
                # when a non-int data type is mixed in with Flag, we end up
                # needing two values for two `__new__`s:
                # - the integer value for the Flag itself; and
                # - the mix-in value for the mix-in
                #
                # we provide a default `_generate_next_value_` to supply the int
                # argument, and a default `__new__` to keep the two straight
                def _generate_next_value_(name, start, count, values, *args, **kwds):
                    return (2 ** count, ) + args
                enum_dict['_generate_next_value_'] = staticmethod(_generate_next_value_)
                def __new__(cls, flag_value, type_value):
                    obj = member_type.__new__(cls, type_value)
                    obj._value_ = flag_value
                    return obj
                enum_dict['__new__'] = __new__
            else:
                try:
                    enum_dict._new_args = _EnumArgSpec(first_enum.__new_member__)
                except TypeError:
                    pass
        elif not initial_flag:
            if hasattr(first_enum, '__new_member__'):
                enum_dict._new_args = _EnumArgSpec(first_enum.__new_member__)
            if generate:
                enum_dict['_generate_next_value_'] = generate
                enum_dict._inherited_gnv = True
            if init is not None:
                if isinstance(init, basestring):
                    init = init.replace(',',' ').split()
                enum_dict._init = init
        elif hasattr(first_enum, '__new_member__'):
            enum_dict._new_args = _EnumArgSpec(first_enum.__new_member__)
        if order is not None:
            enum_dict['_order_'] = staticmethod(order)
        return enum_dict

    def __init__(cls, *args , **kwds):
        pass

    def __new__(metacls, cls, bases, clsdict, init=None, start=None, settings=(), boundary=None, **kwds):
        # handle py2 case first
        if type(clsdict) is not EnumDict:
            # py2 and/or functional API gyrations
            init = clsdict.pop('_init_', None)
            start = clsdict.pop('_start_', None)
            settings = clsdict.pop('_settings_', ())
            _order_ = clsdict.pop('_order_', clsdict.pop('__order__', None))
            _ignore_ = clsdict.pop('_ignore_', None)
            _create_pseudo_member_ = clsdict.pop('_create_pseudo_member_', None)
            _create_pseudo_member_values_ = clsdict.pop('_create_pseudo_member_values_', None)
            _generate_next_value_ = clsdict.pop('_generate_next_value_', None)
            _missing_ = clsdict.pop('_missing_', None)
            _missing_value_ = clsdict.pop('_missing_value_', None)
            _missing_name_ = clsdict.pop('_missing_name_', None)
            _boundary_ = clsdict.pop('_boundary_', None)
            _iter_member_ = clsdict.pop('_iter_member_', None)
            _iter_member_by_value_ = clsdict.pop('_iter_member_by_value_', None)
            _iter_member_by_def_ = clsdict.pop('_iter_member_by_def_', None)
            __new__ = clsdict.pop('__new__', None)
            __new__ = getattr(__new__, 'im_func', __new__)
            __new__ = getattr(__new__, '__func__', __new__)
            enum_members = dict([
                    (k, v) for (k, v) in clsdict.items()
                    if not (is_sunder(k) or is_dunder(k) or is_private_name(cls, k) or is_descriptor(v))
                    ])
            original_dict = clsdict
            clsdict = metacls.__prepare__(cls, bases, init=init, start=start)
            if settings:
                clsdict['_settings_'] = settings
            init = init or clsdict._init
            if _order_ is None:
                _order_ = clsdict.get('_order_')
                if _order_ is not None:
                    _order_ = _order_.__get__(cls)
            if isinstance(original_dict, OrderedDict):
                calced_order = original_dict
            elif _order_ is None:
                calced_order = [name for (name, value) in enumsort(list(enum_members.items()))]
            elif isinstance(_order_, basestring):
                calced_order = _order_ = _order_.replace(',', ' ').split()
            elif callable(_order_):
                if init:
                    if not isinstance(init, basestring):
                        init = ' '.join(init)
                member = NamedTuple('member', init and 'name ' + init or ['name', 'value'])
                calced_order = []
                for name, value in enum_members.items():
                    if init:
                        if not isinstance(value, tuple):
                            value = (value, )
                        name_value = (name, ) + value
                    else:
                        name_value = tuple((name, value))
                    if member._defined_len_ != len(name_value):
                        raise TypeError('%d values expected (%s), %d received (%s)' % (
                            member._defined_len_,
                            ', '.join(member._fields_),
                            len(name_value),
                            ', '.join([repr(v) for v in name_value]),
                            ))
                    calced_order.append(member(*name_value))
                calced_order = [m.name for m in sorted(calced_order, key=_order_)]
            else:
                calced_order = _order_
            for name in (
                    '_missing_', '_missing_value_', '_missing_name_',
                    '_ignore_', '_create_pseudo_member_', '_create_pseudo_member_values_',
                    '_generate_next_value_', '_order_', '__new__',
                    '_missing_', '_missing_value_', '_missing_name_',
                    '_boundary_',
                    '_iter_member_', '_iter_member_by_value_', '_iter_member_by_def_',
                ):
                attr = locals()[name]
                if attr is not None:
                    clsdict[name] = attr
            # now add members
            for k in calced_order:
                try:
                    clsdict[k] = original_dict[k]
                except KeyError:
                    # this error will be handled when _order_ is checked
                    pass
            for k, v in original_dict.items():
                if k not in calced_order:
                    clsdict[k] = v
            del _order_, _ignore_, _create_pseudo_member_, _create_pseudo_member_values_,
            del _generate_next_value_, _missing_, _missing_value_, _missing_name_
        #
        # resume normal path
        clsdict._locked = True
        #
        # check for illegal enum names (any others?)
        member_names = clsdict._member_names
        invalid_names = set(member_names) & set(['mro', ''])
        if invalid_names:
            raise ValueError('invalid enum member name(s): %s' % (
                ', '.join(invalid_names), ))
        _order_ = clsdict.pop('_order_', None)
        if isinstance(_order_, basestring):
            _order_ = _order_.replace(',',' ').split()
        init = clsdict._init
        start = clsdict._start
        settings = clsdict._settings
        creating_init = []
        new_args = clsdict._new_args
        auto_args = clsdict._auto_args
        auto_init = False
        if init is not None:
            auto_init = True
            creating_init = init[:]
        if 'value' in creating_init and creating_init[0] != 'value':
            raise TypeError("'value', if specified, must be the first item in 'init'")
        magicvalue = MagicValue in settings
        multivalue = MultiValue in settings
        noalias = NoAlias in settings
        unique = Unique in settings
        # an Enum class cannot be mixed with other types (int, float, etc.) if
        #   it has an inherited __new__ unless a new __new__ is defined (or
        #   the resulting class will fail).
        # an Enum class is final once enumeration items have been defined;
        #
        # remove any keys listed in _ignore_
        clsdict.setdefault('_ignore_', []).append('_ignore_')
        ignore = clsdict['_ignore_']
        for key in ignore:
            clsdict.pop(key, None)
        #
        boundary = boundary or clsdict.pop('_boundary_', None)
        _gnv = clsdict.get('_generate_next_value_')
        if _gnv is not None and type(_gnv) is not staticmethod:
            _gnv = staticmethod(_gnv)
        # convert to regular dict
        clsdict = dict(clsdict.items())
        if _gnv is not None:
            clsdict['_generate_next_value_'] = _gnv
        member_type, first_enum = metacls._get_mixins_(cls, bases)
        # get the method to create enum members
        __new__, save_new, new_uses_args = metacls._find_new_(
                clsdict,
                member_type,
                first_enum,
                )
        clsdict['_new_member_'] = staticmethod(__new__)
        clsdict['_use_args_'] = new_uses_args
        #
        # convert future enum members into temporary _proto_members
        for name in member_names:
            value = clsdict[name]
            clsdict[name] = _proto_member(value)
        #
        # temp stuff
        clsdict['_creating_init_'] = creating_init
        clsdict['_multivalue_'] = multivalue
        clsdict['_magicvalue_'] = magicvalue
        clsdict['_noalias_'] = noalias
        clsdict['_unique_'] = unique
        #
        # house-keeping structures
        clsdict['_member_names_'] = []
        clsdict['_member_map_'] = OrderedDict()
        clsdict['_member_type_'] = member_type
        clsdict['_value2member_map_'] = {}
        clsdict['_value2member_seq_'] = ()
        clsdict['_settings_'] = settings
        clsdict['_start_'] = start
        clsdict['_auto_init_'] = init
        clsdict['_new_args_'] = new_args
        clsdict['_auto_args_'] = auto_args
        clsdict['_order_function_'] = None
        # now set the __repr__ for the value
        clsdict['_value_repr_'] = metacls._find_data_repr_(cls, bases)
        #
        # Flag structures (will be removed if final class is not a Flag
        clsdict['_boundary_'] = (
                boundary
                or getattr(first_enum, '_boundary_', None)
                )
        clsdict['_flag_mask_'] = 0
        clsdict['_singles_mask_'] = 0
        clsdict['_all_bits_'] = 0
        clsdict['_inverted_'] = None
        #
        # move skipped values out of the descriptor
        for name, obj in clsdict.items():
            if isinstance(obj, nonmember):
                clsdict[name] = obj.value
        #
        # If a custom type is mixed into the Enum, and it does not know how
        # to pickle itself, pickle.dumps will succeed but pickle.loads will
        # fail.  Rather than have the error show up later and possibly far
        # from the source, sabotage the pickle protocol for this class so
        # that pickle.dumps also fails.
        #
        # However, if the new class implements its own __reduce_ex__, do not
        # sabotage -- it's on them to make sure it works correctly.  We use
        # __reduce_ex__ instead of any of the others as it is preferred by
        # pickle over __reduce__, and it handles all pickle protocols.
        unpicklable = False
        if '__reduce_ex__' not in clsdict:
            if member_type is not object:
                methods = ('__getnewargs_ex__', '__getnewargs__',
                        '__reduce_ex__', '__reduce__')
                if not any(m in member_type.__dict__ for m in methods):
                    make_class_unpicklable(clsdict)
                    unpicklable = True
        #
        # create a default docstring if one has not been provided
        if '__doc__' not in clsdict:
            clsdict['__doc__'] = 'An enumeration.'
        #
        # create our new Enum type
        try:
            exc = None
            enum_class = type.__new__(metacls, cls, bases, clsdict)
        except RuntimeError as e:
            # any exceptions raised by _proto_member (aka member.__new__) will get converted to
            # a RuntimeError, so get that original exception back and raise
            # it instead
            exc = e.__cause__ or e
        if exc is not None:
            raise exc
        #
        # if Python 3.5 or ealier, implement the __set_name__ and
        # __init_subclass__ protocols
        if pyver < PY3_6:
            for name in member_names:
                enum_class.__dict__[name].__set_name__(enum_class, name)
            for name, obj in enum_class.__dict__.items():
                if name in member_names:
                    continue
                if hasattr(obj, '__set_name__'):
                    obj.__set_name__(enum_class, name)
            if Enum is not None and hasattr(enum_class, '__init_subclass__'):
                super(enum_class, enum_class).__init_subclass__()
        #
        # double check that repr and friends are not the mixin's or various
        # things break (such as pickle)
        #
        # Also, special handling for ReprEnum
        if ReprEnum is not None and ReprEnum in bases:
            if member_type is object:
                raise TypeError(
                        'ReprEnum subclasses must be mixed with a data type (i.e.'
                        ' int, str, float, etc.)'
                        )
            if '__format__' not in clsdict:
                enum_class.__format__ = member_type.__format__
                clsdict['__format__'] = enum_class.__format__
            if '__str__' not in clsdict:
                method = member_type.__str__
                if method is object.__str__:
                    # if member_type does not define __str__, object.__str__ will use
                    # its __repr__ instead, so we'll also use its __repr__
                    method = member_type.__repr__
                enum_class.__str__ = method
                clsdict['__str__'] = enum_class.__str__

        for name in ('__repr__', '__str__', '__format__', '__reduce_ex__'):
            if name in clsdict:
                # class has defined/imported/copied the method
                continue
            class_method = getattr(enum_class, name)
            obj_method = getattr(member_type, name, None)
            enum_method = getattr(first_enum, name, None)
            if obj_method is not None and obj_method == class_method:
                if name == '__reduce_ex__' and unpicklable:
                    continue
                setattr(enum_class, name, enum_method)
                clsdict[name] = enum_method
        #
        # for Flag, add __or__, __and__, __xor__, and __invert__
        if Flag is not None and issubclass(enum_class, Flag):
            for name in (
                    '__or__', '__and__', '__xor__',
                    '__ror__', '__rand__', '__rxor__',
                    '__invert__'
                ):
                if name not in clsdict:
                    setattr(enum_class, name, getattr(Flag, name))
                    clsdict[name] = enum_method
        #
        # method resolution and int's are not playing nice
        # Python's less than 2.6 use __cmp__
        if pyver < PY2_6:
            #
            if issubclass(enum_class, int):
                setattr(enum_class, '__cmp__', getattr(int, '__cmp__'))
            #
        elif PY2:
            #
            if issubclass(enum_class, int):
                for method in (
                        '__le__',
                        '__lt__',
                        '__gt__',
                        '__ge__',
                        '__eq__',
                        '__ne__',
                        '__hash__',
                        ):
                    setattr(enum_class, method, getattr(int, method))
        #
        # replace any other __new__ with our own (as long as Enum is not None,
        # anyway) -- again, this is to support pickle
        if Enum is not None:
            # if the user defined their own __new__, save it before it gets
            # clobbered in case they subclass later
            if save_new:
                setattr(enum_class, '__new_member__', enum_class.__dict__['__new__'])
            setattr(enum_class, '__new__', Enum.__dict__['__new__'])
        #
        # _order_ checking is spread out into three/four steps
        # - ensure _order_ is a list, not a string nor a function
        # - if enum_class is a Flag:
        #   - remove any non-single-bit flags from _order_
        # - remove any aliases from _order_
        # - check that _order_ and _member_names_ match
        #
        # _order_ step 1: ensure _order_ is a list
        if _order_:
            if isinstance(_order_, staticmethod):
                _order_ = _order_.__func__
            if callable(_order_):
                # save order for future subclasses
                enum_class._order_function_ = staticmethod(_order_)
                # create ordered list for comparison
                _order_ = [m.name for m in sorted(enum_class, key=_order_)]
        #
        # remove Flag structures if final class is not a Flag
        if (
                Flag is None and cls != 'Flag'
                or Flag is not None and not issubclass(enum_class, Flag)
            ):
            delattr(enum_class, '_boundary_')
            delattr(enum_class, '_flag_mask_')
            delattr(enum_class, '_singles_mask_')
            delattr(enum_class, '_all_bits_')
            delattr(enum_class, '_inverted_')
        elif Flag is not None and issubclass(enum_class, Flag):
            # set correct __iter__
            if [m._value_ for m in enum_class] != sorted([m._value_ for m in enum_class]):
                enum_class._iter_member_ = enum_class._iter_member_by_def_
            if _order_:
                # _order_ step 2: remove any items from _order_ that are not single-bit
                _order_ = [
                        o
                        for o in _order_
                        if o not in enum_class._member_map_ or is_single_bit(enum_class[o]._value_)
                        ]
        #
        # check for constants with auto() values
        for k, v in enum_class.__dict__.items():
            if isinstance(v, constant) and isinstance(v.value, auto):
                v.value = enum_class(v.value.value)
        #
        if _order_:
            # _order_ step 3: remove aliases from _order_
            _order_ = [
                    o
                    for o in _order_
                    if (
                        o not in enum_class._member_map_
                        or
                        (o in enum_class._member_map_ and o in enum_class._member_names_)
                        )]
            # _order_ step 4: verify that _order_ and _member_names_ match
            if _order_ != enum_class._member_names_:
                raise TypeError(
                        'member order does not match _order_:\n%r\n%r'
                        % (enum_class._member_names_, _order_)
                        )
        return enum_class

    def __bool__(cls):
        """
        classes/types should always be True.
        """
        return True

    def __call__(cls, value=no_arg, names=None, module=None, qualname=None, type=None, start=1, boundary=None):
        """Either returns an existing member, or creates a new enum class.

        This method is used both when an enum class is given a value to match
        to an enumeration member (i.e. Color(3)) and for the functional API
        (i.e. Color = Enum('Color', names='red green blue')).

        When used for the functional API: `module`, if set, will be stored in
        the new class' __module__ attribute; `type`, if set, will be mixed in
        as the first base class.

        Note: if `module` is not set this routine will attempt to discover the
        calling module by walking the frame stack; if this is unsuccessful
        the resulting class will not be pickleable.
        """
        if names is None:  # simple value lookup
            return cls.__new__(cls, value)
        # otherwise, functional API: we're creating a new Enum type
        return cls._create_(value, names, module=module, qualname=qualname, type=type, start=start, boundary=boundary)

    def __contains__(cls, value):
        """Return True if `value` is in `cls`.

        `value` is in `cls` if:
        1) `value` is a member of `cls`, or
        2) `value` is the value of one of the `cls`'s members.
        """
        if isinstance(value, cls):
            return True
        try:
            return value in cls._value2member_map_
        except TypeError:
            return value in [v for v,m in cls._value2member_seq_]

    def __delattr__(cls, attr):
        # nicer error message when someone tries to delete an attribute
        # (see issue19025).
        if attr in cls._member_map_:
            raise AttributeError(
                    "%s: cannot delete Enum member %r." % (cls.__name__, attr),
                    )
        found_attr = get_attr_from_chain(cls, attr)
        if isinstance(found_attr, constant):
            raise AttributeError(
                    "%s: cannot delete constant %r" % (cls.__name__, attr),
                    )
        elif isinstance(found_attr, property):
            raise AttributeError(
                    "%s: cannot delete property %r" % (cls.__name__, attr),
                    )
        type.__delattr__(cls, attr)

    def __dir__(cls):
        interesting = set(cls._member_names_ + [
                    '__class__', '__contains__', '__doc__', '__getitem__',
                    '__iter__', '__len__', '__members__', '__module__',
                    '__name__',
                    ])
        if cls._new_member_ is not object.__new__:
            interesting.add('__new__')
        if cls.__init_subclass__ is not Enum.__init_subclass__:
            interesting.add('__init_subclass__')
        if hasattr(object, '__qualname__'):
            interesting.add('__qualname__')
        for method in ('__init__', '__format__', '__repr__', '__str__'):
            if getattr(cls, method) not in (getattr(Enum, method), getattr(Flag, method)):
                interesting.add(method)
        if cls._member_type_ is object:
            return sorted(interesting)
        else:
            # return whatever mixed-in data type has
            return sorted(set(dir(cls._member_type_)) | interesting)

    @bltin_property
    def __members__(cls):
        """Returns a mapping of member name->value.

        This mapping lists all enum members, including aliases. Note that this
        is a copy of the internal mapping.
        """
        return cls._member_map_.copy()

    def __getitem__(cls, name):
        try:
            return cls._member_map_[name]
        except KeyError:
            exc = _sys.exc_info()[1]
        if Flag is not None and issubclass(cls, Flag) and '|' in name:
            try:
                # may be an __or__ed name
                result = cls(0)
                for n in name.split('|'):
                    result |= cls[n]
                return result
            except KeyError:
                raise exc
        result = cls._missing_name_(name)
        if isinstance(result, cls):
            return result
        else:
            raise exc

    def __iter__(cls):
        return (cls._member_map_[name] for name in cls._member_names_)

    def __reversed__(cls):
        return (cls._member_map_[name] for name in reversed(cls._member_names_))

    def __len__(cls):
        return len(cls._member_names_)

    __nonzero__ = __bool__

    def __repr__(cls):
        return "<aenum %r>" % (cls.__name__, )

    def __setattr__(cls, name, value):
        """Block attempts to reassign Enum members/constants.

        A simple assignment to the class namespace only changes one of the
        several possible ways to get an Enum member from the Enum class,
        resulting in an inconsistent Enumeration.
        """
        member_map = cls.__dict__.get('_member_map_', {})
        if name in member_map:
            raise AttributeError(
                    '%s: cannot rebind member %r.' % (cls.__name__, name),
                    )
        found_attr = get_attr_from_chain(cls, name)
        if isinstance(found_attr, constant):
            raise AttributeError(
                    "%s: cannot rebind constant %r" % (cls.__name__, name),
                    )
        elif isinstance(found_attr, (bltin_property, property)) and not isinstance(value, property):
            raise AttributeError(
                    "%s: cannot rebind property %r" % (cls.__name__, name),
                    )
        type.__setattr__(cls, name, value)

    def _convert(cls, *args, **kwds):
        import warnings
        warnings.warn("_convert is deprecated and will be removed, use"
                      " _convert_ instead.", DeprecationWarning, stacklevel=2)
        return cls._convert_(*args, **kwds)

    def _convert_(cls, name, module, filter, source=None, boundary=None, as_global=False):
        """
        Create a new Enum subclass that replaces a collection of global constants
        """
        # convert all constants from source (or module) that pass filter() to
        # a new Enum called name, and export the enum and its members back to
        # module;
        # also, replace the __reduce_ex__ method so unpickling works in
        # previous Python versions
        module_globals = vars(_sys.modules[module])
        if source:
            source = vars(source)
        else:
            source = module_globals
        members = [(key, source[key]) for key in source.keys() if filter(key)]
        try:
            # sort by value, name
            members.sort(key=lambda t: (t[1], t[0]))
        except TypeError:
            # unless some values aren't comparable, in which case sort by just name
            members.sort(key=lambda t: t[0])
        cls = cls(name, members, module=module, boundary=boundary or KEEP)
        cls.__reduce_ex__ = _reduce_ex_by_name
        if as_global:
            global_enum(cls)
        else:
            module_globals.update(cls.__members__)
        module_globals[name] = cls
        return cls

    def _create_(cls, class_name, names, module=None, qualname=None, type=None, start=1, boundary=None):
        """Convenience method to create a new Enum class.

        `names` can be:

        * A string containing member names, separated either with spaces or
          commas.  Values are auto-numbered from 1.
        * An iterable of member names.  Values are auto-numbered from 1.
        * An iterable of (member name, value) pairs.
        * A mapping of member name -> value.
        """
        if PY2:
            # if class_name is unicode, attempt a conversion to ASCII
            if isinstance(class_name, unicode):
                try:
                    class_name = class_name.encode('ascii')
                except UnicodeEncodeError:
                    raise TypeError('%r is not representable in ASCII' % (class_name, ))
        metacls = cls.__class__
        if type is None:
            bases = (cls, )
        else:
            bases = (type, cls)
        _, first_enum = cls._get_mixins_(class_name, bases)
        generate = getattr(first_enum, '_generate_next_value_', None)
        generate = getattr(generate, 'im_func', generate)
        # special processing needed for names?
        if isinstance(names, basestring):
            names = names.replace(',', ' ').split()
        if isinstance(names, (tuple, list)) and names and isinstance(names[0], basestring):
            original_names, names = names, []
            last_values = []
            for count, name in enumerate(original_names):
                value = generate(name, start, count, last_values[:])
                last_values.append(value)
                names.append((name, value))
        # Here, names is either an iterable of (name, value) or a mapping.
        item = None  # in case names is empty
        clsdict = None
        for item in names:
            if clsdict is None:
                # first time initialization
                if isinstance(item, basestring):
                    clsdict = {}
                else:
                    # remember the order
                    clsdict = metacls.__prepare__(class_name, bases)
            if isinstance(item, basestring):
                member_name, member_value = item, names[item]
            else:
                member_name, member_value = item
            clsdict[member_name] = member_value
        if clsdict is None:
            # in case names was empty
            clsdict = metacls.__prepare__(class_name, bases)
        enum_class = metacls.__new__(metacls, class_name, bases, clsdict, boundary=boundary)
        # TODO: replace the frame hack if a blessed way to know the calling
        # module is ever developed
        if module is None:
            try:
                module = _sys._getframe(2).f_globals['__name__']
            except (AttributeError, KeyError):
                pass
        if module is None:
            make_class_unpicklable(enum_class)
        else:
            enum_class.__module__ = module
        if qualname is not None:
            enum_class.__qualname__ = qualname
        return enum_class

    @classmethod
    def _check_for_existing_members_(mcls, class_name, bases):
        if Enum is None:
            return
        for chain in bases:
            for base in chain.__mro__:
                if issubclass(base, Enum) and base._member_names_:
                    raise TypeError(
                            "<aenum %r> cannot extend %r"
                            % (class_name, base)
                            )
    @classmethod
    def _get_mixins_(mcls, class_name, bases):
        """Returns the type for creating enum members, and the first inherited
        enum class.

        bases: the tuple of bases that was given to __new__
        """
        if not bases or Enum is None:
            return object, Enum

        mcls._check_for_existing_members_(class_name, bases)

        # ensure final parent class is an Enum derivative, find any concrete
        # data type, and check that Enum has no members
        first_enum = bases[-1]
        if first_enum in stdlib_enums:
            first_enum = bases[-2]
        if not issubclass(first_enum, Enum):
            raise TypeError("new enumerations should be created as "
                    "`EnumName([mixin_type, ...] [data_type,] enum_type)`")
        member_type = mcls._find_data_type_(class_name, bases) or object
        if first_enum._member_names_:
            raise TypeError("cannot extend enumerations via subclassing")
        #
        return member_type, first_enum

    @classmethod
    def _find_data_repr_(mcls, class_name, bases):
        for chain in bases:
            for base in chain.__mro__:
                if base in ((object, ) + stdlib_enums):
                    continue
                elif isinstance(base, EnumType):
                    # if we hit an Enum, use it's _value_repr_
                    return base._value_repr_
                elif '__repr__' in base.__dict__:
                    # this is our data repr
                    # double-check if a dataclass with a default __repr__
                    if (
                            '__dataclass_fields__' in base.__dict__
                            and '__dataclass_params__' in base.__dict__
                            and base.__dict__['__dataclass_params__'].repr
                        ):
                        return _dataclass_repr
                    else:
                        return base.__dict__['__repr__']
        return None

    @classmethod
    def _find_data_type_(mcls, class_name, bases):
        data_types = set()
        for chain in bases:
            candidate = None
            for base in chain.__mro__:
                if base in ((object, ) + stdlib_enums):
                    continue
                elif isinstance(base, EnumType):
                    if base._member_type_ is not object:
                        data_types.add(base._member_type_)
                        break
                elif '__new__' in base.__dict__ or '__dataclass_fields__' in base.__dict__:
                    if isinstance(base, EnumType):
                        continue
                    elif StdlibFlag is not None and issubclass(base, StdlibFlag):
                        continue
                    data_types.add(candidate or base)
                    break
                else:
                    candidate = candidate or base
        if len(data_types) > 1:
            raise TypeError('%r: too many data types: %r' % (class_name, data_types))
        elif data_types:
            return data_types.pop()
        else:
            return None

    @staticmethod
    def _get_settings_(bases):
        """Returns the combined _settings_ of all Enum base classes

        bases: the tuple of bases given to __new__
        """
        settings = set()
        for chain in bases:
            for base in chain.__mro__:
                if issubclass(base, Enum):
                    for s in base._settings_:
                        settings.add(s)
        return settings

    @classmethod
    def _find_new_(mcls, clsdict, member_type, first_enum):
        """Returns the __new__ to be used for creating the enum members.

        clsdict: the class dictionary given to __new__
        member_type: the data type whose __new__ will be used by default
        first_enum: enumeration to check for an overriding __new__
        """
        # now find the correct __new__, checking to see of one was defined
        # by the user; also check earlier enum classes in case a __new__ was
        # saved as __new_member__
        __new__ = clsdict.get('__new__', None)
        #
        # should __new__ be saved as __new_member__ later?
        save_new = first_enum is not None and __new__ is not None
        #
        if __new__ is None:
            # check all possibles for __new_member__ before falling back to
            # __new__
            for method in ('__new_member__', '__new__'):
                for possible in (member_type, first_enum):
                    target = getattr(possible, method, None)
                    if target not in (
                            None,
                            None.__new__,
                            object.__new__,
                            Enum.__new__,
                            StdlibEnum.__new__,
                            ):
                        __new__ = target
                        break
                if __new__ is not None:
                    break
            else:
                __new__ = object.__new__
        # if a non-object.__new__ is used then whatever value/tuple was
        # assigned to the enum member name will be passed to __new__ and to the
        # new enum member's __init__
        if first_enum is None or __new__ in (Enum.__new__, object.__new__):
            new_uses_args = False
        else:
            new_uses_args = True
        #
        return __new__, save_new, new_uses_args


    # In order to support Python 2 and 3 with a single
    # codebase we have to create the Enum methods separately
    # and then use the `type(name, bases, dict)` method to
    # create the class.

if StdlibEnumMeta:
    class EnumType(EnumType, StdlibEnumMeta):
        pass
EnumMeta = EnumType

enum_dict = _Addendum(
        dict=EnumType.__prepare__('Enum', (object, )),
        doc="Generic enumeration.\n\n    Derive from this class to define new enumerations.\n\n",
        ns=globals(),
        )

@enum_dict
@classmethod
def __signature__(cls):
    if cls._member_names_:
        return '(*values)'
    else:
        return '(new_class_name, /, names, *, module=None, qualname=None, type=None, start=1, boundary=None)'

@enum_dict
def __init__(self, *args, **kwds):
    # auto-init method
    _auto_init_ = self._auto_init_
    if _auto_init_ is None:
        return
    if 'value' in _auto_init_:
        # remove 'value' from _auto_init_ as it has already been handled
        _auto_init_ = _auto_init_[1:]
    if _auto_init_:
        if len(_auto_init_) < len(args):
            raise TypeError('%d arguments expected (%s), %d received (%s)'
                    % (len(_auto_init_), _auto_init_, len(args), args))
        for name, arg in zip(_auto_init_, args):
            setattr(self, name, arg)
        if len(args) < len(_auto_init_):
            remaining_args = _auto_init_[len(args):]
            for name in remaining_args:
                value = kwds.pop(name, undefined)
                if value is undefined:
                    raise TypeError('missing value for: %r' % (name, ))
                setattr(self, name, value)
            if kwds:
                # too many keyword arguments
                raise TypeError('invalid keyword(s): %s' % ', '.join(kwds.keys()))

@enum_dict
def __new__(cls, value):
    # all enum instances are actually created during class construction
    # without calling this method; this method is called by the metaclass'
    # __call__ (i.e. Color(3) ), and by pickle
    if NoAlias in cls._settings_:
        raise TypeError('NoAlias enumerations cannot be looked up by value')
    if type(value) is cls:
        # For lookups like Color(Color.red)
        # value = value.value
        return value
    # by-value search for a matching enum member
    # see if it's in the reverse mapping (for hashable values)
    try:
        return cls._value2member_map_[value]
    except KeyError:
        # Not found, no need to do long O(n) search
        pass
    except TypeError:
        # not there, now do long search -- O(n) behavior
        for member_value, member in cls._value2member_seq_:
            if member_value == value:
                return member
    # still not found -- try _missing_ hook
    result = cls._missing_value_(value)
    if isinstance(result, cls):
        return result
    elif result is not None and getattr(cls, '_boundary_', None) is EJECT:
        return result
    else:
        if result is None:
            if value is no_arg:
                raise ValueError('%s() should be called with a value' % (cls.__name__, ))
            else:
                raise ValueError("%r is not a valid %s" % (value, cls.__name__))
        else:
            raise TypeError(
                    'error in %s._missing_: returned %r instead of None or a valid member'
                    % (cls.__name__, result)
                    )

@enum_dict
@classmethod
def __init_subclass__(cls, **kwds):
    if pyver < PY3_6:
        # end of the line
        if kwds:
            raise TypeError('unconsumed keyword arguments: %r' % (kwds, ))
    else:
        super(Enum, cls).__init_subclass__(**kwds)

@enum_dict
@staticmethod
def _generate_next_value_(name, start, count, last_values, *args, **kwds):
    for last_value in reversed(last_values):
        try:
            new_value = last_value + 1
            break
        except TypeError:
            pass
    else:
        new_value = start
    if args:
        return (new_value, ) + args
    else:
        return new_value

@enum_dict
@classmethod
def _missing_(cls, value):
    "deprecated, use _missing_value_ instead"
    return None

@enum_dict
@classmethod
def _missing_value_(cls, value):
    "used for failed value access"
    return cls._missing_(value)

@enum_dict
@classmethod
def _missing_name_(cls, name):
    "used for failed item access"
    return None

@enum_dict
def __repr__(self):
    v_repr = self.__class__._value_repr_ or self._value_.__class__.__repr__
    return "<%s.%s: %s>" % (self.__class__.__name__, self._name_, v_repr(self._value_))

@enum_dict
def __str__(self):
    return "%s.%s" % (self.__class__.__name__, self._name_)

if PY3:
    @enum_dict
    def __dir__(self):
        """
        Returns all members and all public methods
        """
        if self.__class__._member_type_ is object:
            interesting = set(['__class__', '__doc__', '__eq__', '__hash__', '__module__'])
        else:
            interesting = set(n for n in object.__dir__(self) if n not in self._member_map_)
        for name in getattr(self, '__dict__', []):
            if name[0] != '_':
                interesting.add(name)
        for cls in self.__class__.mro():
            for name, obj in cls.__dict__.items():
                if name[0] == '_':
                    continue
                if isinstance(obj, property):
                    # that's an enum.property
                    if obj.fget is not None or name not in self._member_map_:
                        interesting.add(name)
                    else:
                        # in case it was added by `dir(self)`
                        interesting.discard(name)
                elif not isinstance(obj, self.__class__):
                    interesting.add(name)
        return sorted(interesting)

@enum_dict
def __format__(self, format_spec):
    return str.__format__(str(self), format_spec)

@enum_dict
def __hash__(self):
    return hash(self._name_)

@enum_dict
def __reduce_ex__(self, proto):
    return self.__class__, (self._value_, )

@enum_dict
def __le__(self, other):
    raise TypeError("unorderable types: %s() <= %s()" % (self.__class__.__name__, other.__class__.__name__))

@enum_dict
def __lt__(self, other):
    raise TypeError("unorderable types: %s() < %s()" % (self.__class__.__name__, other.__class__.__name__))

@enum_dict
def __ge__(self, other):
    raise TypeError("unorderable types: %s() >= %s()" % (self.__class__.__name__, other.__class__.__name__))

@enum_dict
def __gt__(self, other):
    raise TypeError("unorderable types: %s() > %s()" % (self.__class__.__name__, other.__class__.__name__))


@enum_dict
def __eq__(self, other):
    if isinstance(other, self.__class__):
        return self is other
    return NotImplemented

@enum_dict
def __ne__(self, other):
    if isinstance(other, self.__class__):
        return self is not other
    return NotImplemented


    # enum.property is used to provide access to the `name`, `value', etc.,
    # properties of enum members while keeping some measure of protection
    # from modification, while still allowing for an enumeration to have
    # members named `name`, `value`, etc..  This works because enumeration
    # members are not set directly on the enum class -- enum.property will
    # look them up in _member_map_.

@enum_dict
@property
def name(self):
    return self._name_

@enum_dict
@property
def value(self):
    return self._value_

@enum_dict
@property
def values(self):
    return self._values_

_enum_base = StdlibEnum or object
Enum = EnumType('Enum', (_enum_base, ), enum_dict.resolve())
del enum_dict

    # Enum has now been created

def pickle_by_global_name(self, proto):
    # should not be used with Flag-type enums
    return self.name
_reduce_ex_by_name = pickle_by_global_name

def pickle_by_enum_name(self, proto):
    # should not be used with Flag-type enums
    return getattr, (self.__class__, self._name_)

def _dataclass_repr(self):
    dcf = self.__dataclass_fields__
    return ', '.join(
            '%s=%r' % (k, getattr(self, k))
            for k in dcf.keys()
            if dcf[k].repr
            )

# ReprEnum
if StdlibReprEnum:
    _repr_bases = Enum, StdlibReprEnum
else:
    _repr_bases = (Enum, )
ReprEnum = EnumType('ReprEnum', _repr_bases, {
        '__doc__': "Only changes the repr(), leaving str() and format() to the mixed-in type."
        })

# IntEnum

class IntEnum(int, ReprEnum):
    """
    Enum where members are also (and must be) ints
    """


# StrEnums

class StrEnum(str, ReprEnum):
    """
    Enum where members are also (and must already be) strings

    default value is member name, lower-cased
    """

    def __new__(cls, *values, **kwds):
        if kwds:
            raise TypeError('%r: keyword arguments not supported' % (cls.__name__))
        if values:
            if not isinstance(values[0], str):
                raise TypeError('%s: values must be str [%r is a %r]' % (cls.__name__, values[0], type(values[0])))
        value = str(*values)
        member = str.__new__(cls, value)
        member._value_ = value
        return member

    __str__ = str.__str__

    def _generate_next_value_(name, start, count, last_values):
        """
        Return the lower-cased version of the member name.
        """
        return name.lower()


class LowerStrEnum(StrEnum):
    """
    Enum where members are also (and must already be) lower-case strings

    default value is member name, lower-cased
    """

    def __new__(cls, value, *args, **kwds):
        obj = StrEnum.__new_member__(cls, value, *args, **kwds)
        if value != value.lower():
            raise ValueError('%r is not lower-case' % value)
        return obj


class UpperStrEnum(StrEnum):
    """
    Enum where members are also (and must already be) upper-case strings

    default value is member name, upper-cased
    """

    def __new__(cls, value, *args, **kwds):
        obj = StrEnum.__new_member__(cls, value, *args, **kwds)
        if value != value.upper():
            raise ValueError('%r is not upper-case' % value)
        return obj

    def _generate_next_value_(name, start, count, last_values, *args, **kwds):
        return name.upper()


# Specialty Enums
if PY3:
    class AutoEnum(Enum):
        """
        automatically use _generate_next_value_ when values are missing (Python 3 only)
        """
        _settings_ = MagicValue
    __all__.append('AutoEnum')


class AutoNumberEnum(Enum):
    """
    Automatically assign increasing values to members.

    Py3: numbers match creation order
    Py2: numbers are assigned alphabetically by member name
         (unless `_order_` is specified)
    """

    def __new__(cls, *args, **kwds):
        value = len(cls.__members__) + 1
        if cls._member_type_ is int:
            obj = int.__new__(cls, value)
        elif cls._member_type_ is long:
            obj = long.__new__(cls, value)
        else:
            obj = object.__new__(cls)
        obj._value_ = value
        return obj


class AddValueEnum(Enum):
    _settings_ = AddValue


class MultiValueEnum(Enum):
    """
    Multiple values can map to each member.
    """
    _settings_ = MultiValue


class NoAliasEnum(Enum):
    """
    Duplicate value members are distinct, but cannot be looked up by value.
    """
    _settings_ = NoAlias


class OrderedEnum(Enum):
    """
    Add ordering based on values of Enum members.
    """

    def __ge__(self, other):
        if self.__class__ is other.__class__:
            return self._value_ >= other._value_
        return NotImplemented

    def __gt__(self, other):
        if self.__class__ is other.__class__:
            return self._value_ > other._value_
        return NotImplemented

    def __le__(self, other):
        if self.__class__ is other.__class__:
            return self._value_ <= other._value_
        return NotImplemented

    def __lt__(self, other):
        if self.__class__ is other.__class__:
            return self._value_ < other._value_
        return NotImplemented


if sqlite3:
    class SqliteEnum(Enum):
        def __conform__(self, protocol):
            if protocol is sqlite3.PrepareProtocol:
                return self.name


class UniqueEnum(Enum):
    """
    Ensure no duplicate values exist.
    """
    _settings_ = Unique


def convert(enum, name, module, filter, source=None):
    """
    Create a new Enum subclass that replaces a collection of global constants

    enum: Enum, IntEnum, ...
    name: name of new Enum
    module: name of module (__name__ in global context)
    filter: function that returns True if name should be converted to Enum member
    source: namespace to check (defaults to 'module')
    """
    # convert all constants from source (or module) that pass filter() to
    # a new Enum called name, and export the enum and its members back to
    # module;
    # also, replace the __reduce_ex__ method so unpickling works in
    # previous Python versions
    module_globals = vars(_sys.modules[module])
    if source:
        source = vars(source)
    else:
        source = module_globals
    members = dict((name, value) for name, value in source.items() if filter(name))
    enum = enum(name, members, module=module)
    enum.__reduce_ex__ = _reduce_ex_by_name
    module_globals.update(enum.__members__)
    module_globals[name] = enum

def extend_enum(enumeration, name, *args, **kwds):
    """
    Add a new member to an existing Enum.
    """
    # there are four possibilities:
    # - extending an aenum Enum or 3.11+ enum Enum
    # - extending an aenum Flag or 3.11+ enum Flag
    # - extending a pre-3.11 stdlib Enum Flag
    # - extending a 3.11+ stdlib Flag
    #
    # fail early if name is already in the enumeration
    if (
            name in enumeration.__dict__
            or name in enumeration._member_map_
            or name in [t[1] for t in getattr(enumeration, '_value2member_seq_', ())]
        ):
        raise TypeError('%r already in use as %r' % (name, enumeration.__dict__.get(name, enumeration[name])))
    # and check for other instances in parent classes
    descriptor = None
    for base in enumeration.__mro__[1:]:
        descriptor = base.__dict__.get(name)
        if descriptor is not None:
            if isinstance(descriptor, (property, DynamicClassAttribute)):
                break
            else:
                raise TypeError('%r already in use in superclass %r' % (name, base.__name__))
    try:
        _member_map_ = enumeration._member_map_
        _member_names_ = enumeration._member_names_
        _member_type_ = enumeration._member_type_
        _value2member_map_ = enumeration._value2member_map_
        base_attributes = set([a for b in enumeration.mro() for a in b.__dict__])
    except AttributeError:
        raise TypeError('%r is not a supported Enum' % (enumeration, ))
    try:
        _value2member_seq_ = enumeration._value2member_seq_
        _multi_value_ = MultiValue in enumeration._settings_
        _no_alias_ = NoAlias in enumeration._settings_
        _unique_ = Unique in enumeration._settings_
        _auto_init_ = enumeration._auto_init_ or []
    except AttributeError:
        # standard Enum
        _value2member_seq_ = []
        _multi_value_ = False
        _no_alias_ = False
        _unique_ = False
        _auto_init_ = []
    if _multi_value_ and not args:
        # must specify values for multivalue enums
        raise ValueError('no values specified for MultiValue enum %r' % enumeration.__name__)
    mt_new = _member_type_.__new__
    _new = getattr(enumeration, '_new_member_', None) or getattr(enumeration, '__new_member__', None) or mt_new
    if not args:
        last_values = [m.value for m in enumeration]
        count = len(enumeration)
        start = getattr(enumeration, '_start_', None)
        if start is None:
            start = last_values and (last_values[-1] + 1) or 1
        _gnv = getattr(enumeration, '_generate_next_value_', None)
        if _gnv is not None:
            args = ( _gnv(name, start, count, last_values), )
        else:
            # must be a 3.4 or 3.5 Enum
            args = (start, )
    if _new is object.__new__:
        new_uses_args = False
    else:
        new_uses_args = True
    if len(args) == 1:
        [value] = args
    else:
        value = args
    more_values = ()
    kwds = {}
    if isinstance(value, enum):
        args = value.args
        kwds = value.kwds
    if not isinstance(value, tuple):
        args = (value, )
    else:
        args = value
    # tease value out of auto-init if specified
    if 'value' in _auto_init_:
        if 'value' in kwds:
            value = kwds.pop('value')
        else:
            value, args = args[0], args[1:]
    elif _multi_value_:
        value, more_values, args = args[0], args[1:], ()
        if new_uses_args:
            args = (value, )
    if _member_type_ is tuple:
        args = (args, )
    if not new_uses_args:
        new_member = _new(enumeration)
        if not hasattr(new_member, '_value_'):
            new_member._value_ = value
    else:
        new_member = _new(enumeration, *args, **kwds)
        if not hasattr(new_member, '_value_'):
            new_member._value_ = _member_type_(*args)
    value = new_member._value_
    if _multi_value_:
        if 'value' in _auto_init_:
            args = more_values
        else:
        # put all the values back into args for the init call
            args = (value, ) + more_values
    new_member._name_ = name
    new_member.__objclass__ = enumeration.__class__
    new_member.__init__(*args)
    new_member._values_ = (value, ) + more_values
    new_member._sort_order_ = len(enumeration._member_names_)
    # do final checks before modifying enum structures:
    # - is new member a flag?
    #   - does the new member fit in the enum's declared _boundary_?
    # - is new member an alias?
    #
    _all_bits_ = _flag_mask_ = None
    if hasattr(enumeration, '_all_bits_'):
        _all_bits_ = enumeration._all_bits_ | value
        _flag_mask_ = enumeration._flag_mask_ | value
        if enumeration._boundary_ != 'keep':
            missed = list(_iter_bits_lsb(_flag_mask_ & ~_all_bits_))
            if missed:
                raise TypeError(
                        'invalid Flag %r -- missing values: %s'
                        % (cls, ', '.join((str(i) for i in missed)))
                        )
    # If another member with the same value was already defined, the
    # new member becomes an alias to the existing one.
    if _no_alias_:
        # unless NoAlias was specified
        return _finalize_extend_enum(enumeration, new_member, bits=_all_bits_, mask=_flag_mask_)
    else:
        # handle "normal" aliases
        new_values = new_member._values_
        for canonical_member in _member_map_.values():
            canonical_values_ = getattr(canonical_member, '_values_', [canonical_member._value_])
            for canonical_value in canonical_values_:
                for new_value in new_values:
                    if canonical_value == new_value:
                        # name is an alias
                        if _unique_ or _multi_value_:
                            # aliases not allowed in Unique and MultiValue enums
                            raise ValueError('%r is a duplicate of %r' % (new_member, canonical_member))
                        else:
                            # aliased name can be added, remaining checks irrelevant
                            # aliases don't appear in member names (only in __members__ and _member_map_).
                            return _finalize_extend_enum(enumeration, canonical_member, name=name, bits=_all_bits_, mask=_flag_mask_, is_alias=True)
        # not a standard alias, but maybe a flag alias
        if pyver < PY3_6:
            flag_bases = Flag,
        else:
            flag_bases = Flag, StdlibFlag
        if issubclass(enumeration, flag_bases) and hasattr(enumeration, '_all_bits_'):
            # handle the new flag type
            if is_single_bit(value):
                # a new member!  (an aliase would have been discovered in the previous loop)
                return _finalize_extend_enum(enumeration, new_member, bits=_all_bits_, mask=_flag_mask_)
            else:
                # might be an 3.11 Flag alias
                if value & enumeration._flag_mask_ == value and _value2member_map_.get(value) is not None:
                    # yup, it's an alias to existing members... and its an alias of an alias
                    canonical = _value2member_map_.get(value)
                    return _finalize_extend_enum(enumeration, canonical, name=name, bits=_all_bits_, mask=_flag_mask_, is_alias=True)
                else:
                    return _finalize_extend_enum(enumeration, new_member, bits=_all_bits_, mask=_flag_mask_, is_alias=True)
        else:
            # if we get here, we have a brand new member
            return _finalize_extend_enum(enumeration, new_member)

def _finalize_extend_enum(enumeration, new_member, name=None, bits=None, mask=None, is_alias=False):
    name = name or new_member.name
    descriptor = None
    for base in enumeration.__mro__[1:]:
        descriptor = base.__dict__.get(name)
        if descriptor is not None:
            if isinstance(descriptor, (property, DynamicClassAttribute)):
                break
            else:
                raise TypeError('%r already in use in superclass %r' % (name, base.__name__))
    if not descriptor:
        # get redirect in place before adding to _member_map_
        redirect = property()
        redirect.__set_name__(enumeration, name)
        setattr(enumeration, name, redirect)
    if not is_alias:
        enumeration._member_names_.append(name)
    enumeration._member_map_[name] = new_member
    for v in getattr(new_member, '_values_', [new_member._value_]):
        try:
            enumeration._value2member_map_[v] = new_member
        except TypeError:
            enumeration._value2member_seq_ += ((v, new_member), )
    if bits:
        enumeration._all_bits_ = bits
        enumeration._flag_mask_ = mask
        if is_single_bit(new_member._value_):
            enumeration._singles_mask_ |= new_member._value_
    return new_member

def unique(enumeration):
    """
    Class decorator that ensures only unique members exist in an enumeration.
    """
    duplicates = []
    for name, member in enumeration.__members__.items():
        if name != member.name:
            duplicates.append((name, member.name))
    if duplicates:
        duplicate_names = ', '.join(
                ["%s -> %s" % (alias, name) for (alias, name) in duplicates]
                )
        raise ValueError('duplicate names found in %r: %s' %
                (enumeration, duplicate_names)
                )
    return enumeration

# Flag

try:
    from enum import FlagBoundary
except ImportError:
    class FlagBoundary(StrEnum):
        """
        control how out of range values are handled
        "strict" -> error is raised  [default]
        "conform" -> extra bits are discarded
        "eject" -> lose flag status (becomes a normal integer)
        """
        STRICT = auto()
        CONFORM = auto()
        EJECT = auto()
        KEEP = auto()
export(FlagBoundary, globals())

if StdlibFlag:
    _flag_bases = Enum, StdlibFlag
else:
    _flag_bases = (Enum, )

flag_dict = _Addendum(
        dict=EnumType.__prepare__('Flag', _flag_bases),
        doc="Generic flag enumeration.\n\nDerive from this class to define new flag enumerations.",
        ns=globals(),
        )

flag_dict['_boundary_'] = STRICT
flag_dict['_numeric_repr_'] = repr

@flag_dict
def _generate_next_value_(name, start, count, last_values, *args, **kwds):
    """
    Generate the next value when not given.

    name: the name of the member
    start: the initital start value or None
    count: the number of existing members
    last_value: the last value assigned or None
    """
    if not count:
        if args:
            return ((1, start)[start is not None], ) + args
        else:
            return (1, start)[start is not None]
    else:
        last_value = max(last_values)
        try:
            high_bit = _high_bit(last_value)
            result = 2 ** (high_bit+1)
            if args:
                return (result,)  + args
            else:
                return result
        except Exception:
            pass
        raise TypeError('invalid Flag value: %r' % last_value)

@flag_dict
@classmethod
def _iter_member_by_value_(cls, value):
    """
    Extract all members from the value in definition (i.e. increasing value) order.
    """
    for val in _iter_bits_lsb(value & cls._singles_mask_):
        yield cls._value2member_map_.get(val)

flag_dict['_iter_member_'] = _iter_member_by_value_

@flag_dict
@classmethod
def _iter_member_by_def_(cls, value):
    """
    Extract all members from the value in definition order.
    """
    members = list(cls._iter_member_by_value_(value))
    members.sort(key=lambda m: m._sort_order_)
    for member in members:
        yield member

@flag_dict
@classmethod
def _missing_(cls, value):
    """
    return a member matching the given value, or None
    """
    return cls._create_pseudo_member_(value)

@flag_dict
@classmethod
def _create_pseudo_member_(cls, *values):
    """
    Create a composite member.
    """
    # if we get here, no exact match was found
    # STRICT - must be composed of single-bit flags
    value = error_value = values[0]
    if not isinstance(value, baseinteger):
        raise ValueError(
                "%r is not a valid %s" % (error_value, cls.__name__)
                )
    # check boundaries
    # - value must be in range (e.g. -16 <-> +15, i.e. ~15 <-> 15)
    # - value must not include any skipped flags (e.g. if bit 2 is not
    #   defined, then 0d10 is invalid)
    flag_mask = cls._flag_mask_
    singles_mask = cls._singles_mask_
    all_bits = cls._all_bits_
    unknown_bits = all_bits ^ flag_mask
    unnamed_bits = all_bits & ~flag_mask
    boundary = cls._boundary_
    neg_value = (None, value)[value < 0]
    #
    if neg_value:
        if neg_value <= ~all_bits:
            if boundary is EJECT:
                return error_value
            elif boundary is KEEP:
                value = 2**(neg_value.bit_length()) + neg_value
            elif boundary is CONFORM:
                value = (2**(neg_value.bit_length()) + neg_value) & flag_mask
            else:
                raise ValueError(
                        "%r is not a valid %s" % (error_value, cls.__name__)
                        )
        else:
            value = all_bits + 1 + neg_value
    #
    member_value = value & singles_mask                     # all named single-bit values
    unnamed_value = value & flag_mask & ~singles_mask       # all unnamed single-bit values
    unknown_value = value & ~flag_mask
    #
    if boundary is EJECT:
        if unknown_value:
            return error_value
    elif boundary is CONFORM:
        unknown_value = 0
    elif boundary is STRICT:
        if unknown_value:
            raise ValueError(
                "%r is not a valid %s" % (error_value, cls.__name__)
                    )
    #
    members = list(cls._iter_member_(member_value))
    final_value = member_value
    still_unknown = 0
    if unnamed_value:
        found = 0
        for n, pm in cls._member_map_.items():
            if (
                    pm not in members
                and pm._value_
                and pm._value_ & final_value == pm._value_
                and pm._value_ & unnamed_value
                ):
                members.append(pm)
                final_value |= pm._value_
                found |= pm._value_
        # anything still unnamed becomes unknown
        still_unknown = (found & ~unnamed_value) ^ unnamed_value
        if still_unknown:
            if boundary is KEEP:
                pass
            elif boundary is CONFORM:
                still_unknown = 0
            elif boundary is EJECT:
                return error_value
            else: # strict
                raise ValueError(
                    "%r is not a valid %s" % (error_value, cls.__name__)
                        )
    unknown_value |= still_unknown
    final_value |= unknown_value
    values = (final_value, ) + values[1:]
    members.sort(key=lambda m: m._sort_order_)
    # let class adjust values
    values = cls._create_pseudo_member_values_(members, *values)
    __new__ = getattr(cls, '__new_member__', None)
    if cls._member_type_ is object and not __new__:
        # construct a singleton enum pseudo-member
        pseudo_member = object.__new__(cls)
    else:
        pseudo_member = (__new__ or cls._member_type_.__new__)(cls, *values)
    if not hasattr(pseudo_member, '_value_'):
        pseudo_member._value_ = final_value
    if members:
        pseudo_member._name_ = '|'.join([m._name_ for m in members])
        if unknown_value:
            pseudo_member._name_ += '|%s' % cls._numeric_repr_(unknown_value)
    else:
        pseudo_member._name_ = None
    # use setdefault in case another thread already created a composite
    # with this value, but only if all members are known
    # note: zero is a special case -- always add it
    pseudo_member = cls._value2member_map_.setdefault(final_value, pseudo_member)
    if neg_value is not None:
        cls._value2member_map_[neg_value] = pseudo_member
    return pseudo_member

@flag_dict
@classmethod
def _create_pseudo_member_values_(cls, members, *values):
    """
    Return values to be fed to __new__ to create new member.
    """
    if cls._member_type_ in (baseinteger + (object, )):
        return values
    elif len(values) < 2:
        return values + (cls._member_type_(), )
    else:
        return values

@flag_dict
def __contains__(self, other):
    """
    Returns True if self has at least the same flags set as other.
    """
    if not isinstance(other, self.__class__):
        raise TypeError(
            "unsupported operand type(s) for 'in': '%s' and '%s'" % (
                type(other).__name__, self.__class__.__name__))
    if other._value_ == 0 or self._value_ == 0:
        return False
    return other._value_ & self._value_ == other._value_

@flag_dict
def __iter__(self):
    """
    Returns flags in definition order.
    """
    for member in self._iter_member_(self._value_):
        yield member

@flag_dict
def __len__(self):
    return bit_count(self._value_)

@flag_dict
def __repr__(self):
    cls = self.__class__
    if self._name_ is None:
        # only zero is unnamed by default
        return '<%s: %r>' % (cls.__name__, self._value_)
    else:
        return '<%s.%s: %r>' % (cls.__name__, self._name_, self._value_)

@flag_dict
def __str__(self):
    cls = self.__class__
    if self._name_ is None:
        return '%s(%s)' % (cls.__name__, self._value_)
    else:
        return '%s.%s' % (cls.__name__, self._name_)

if PY2:
    @flag_dict
    def __nonzero__(self):
        return bool(self._value_)
else:
    @flag_dict
    def __bool__(self):
        return bool(self._value_)

@flag_dict
def __or__(self, other):
    if isinstance(other, self.__class__):
        other_value = other._value_
    elif self._member_type_ is not object and isinstance(other, self._member_type_):
        other_value = other
    else:
        return NotImplemented
    return self.__class__(self._value_ | other_value)

@flag_dict
def __and__(self, other):
    if isinstance(other, self.__class__):
        other_value = other._value_
    elif self._member_type_ is not object and isinstance(other, self._member_type_):
        other_value = other
    else:
        return NotImplemented
    return self.__class__(self._value_ & other_value)

@flag_dict
def __xor__(self, other):
    if isinstance(other, self.__class__):
        other_value = other._value_
    elif self._member_type_ is not object and isinstance(other, self._member_type_):
        other_value = other
    else:
        return NotImplemented
    return self.__class__(self._value_ ^ other_value)

@flag_dict
def __invert__(self):
    if self._inverted_ is None:
        self._inverted_ = self.__class__(self._singles_mask_ & ~self._value_)
        if isinstance(self._inverted_, self.__class__):
            self._inverted_._inverted_ = self
    return self._inverted_

flag_dict['__ror__'] = __or__
flag_dict['__rand__'] = __and__
flag_dict['__rxor__'] = __xor__

Flag = EnumType('Flag', _flag_bases, flag_dict.resolve())
del(flag_dict)

# IntFlag

class IntFlag(int, ReprEnum, Flag):
    "Support for integer-based Flags"

    _boundary_ = KEEP

    def __contains__(self, other):
        """
        Returns True if self has at least the same flags set as other.
        """
        if isinstance(other, int):
            other = self.__class__(other)
        elif not isinstance(other, self.__class__):
            raise TypeError(
                "unsupported operand type(s) for 'in': '%s' and '%s'" % (
                    type(other).__name__, self.__class__.__name__))
        if other._value_ == 0 or self._value_ == 0:
            return False
        return other._value_ & self._value_ == other._value_


# helpers

def _high_bit(value):
    """returns index of highest bit, or -1 if value is zero or negative"""
    return value.bit_length() - 1

def global_enum_repr(self):
    """
    use module.enum_name instead of class.enum_name

    the module is the last module in case of a multi-module name
    """
    module = self.__class__.__module__.split('.')[-1]
    return '%s.%s' % (module, self._name_)

def global_flag_repr(self):
    """
    use module.flag_name instead of class.flag_name

    the module is the last module in case of a multi-module name
    """
    module = self.__class__.__module__.split('.')[-1]
    cls_name = self.__class__.__name__
    if self._name_ is None:
        return "%s.%s(%r)" % (module, cls_name, self._value_)
    if is_single_bit(self):
        return '%s.%s' % (module, self._name_)
    if self._boundary_ is not FlagBoundary.KEEP:
        return '|'.join(['%s.%s' % (module, name) for name in self.name.split('|')])
    else:
        name = []
        for n in self._name_.split('|'):
            if n[0].isdigit():
                name.append(n)
            else:
                name.append('%s.%s' % (module, n))
        return '|'.join(name)

def global_str(self):
    """
    use enum_name instead of class.enum_name
    """
    if self._name_ is None:
        cls_name = self.__class__.__name__
        return "%s(%r)" % (cls_name, self._value_)
    else:
        return self._name_

def global_enum(cls, update_str=False):
    """
    decorator that makes the repr() of an enum member reference its module
    instead of its class; also exports all members to the enum's module's
    global namespace
    """
    if issubclass(cls, Flag):
        cls.__repr__ = global_flag_repr
    else:
        cls.__repr__ = global_enum_repr
    if not issubclass(cls, ReprEnum) or update_str:
        cls.__str__ = global_str
    _sys.modules[cls.__module__].__dict__.update(cls.__members__)
    return cls

if StdlibEnumMeta:

    from _weakrefset import WeakSet

    def __subclasscheck__(cls, subclass):
        """
        Override for issubclass(subclass, cls).
        """
        if not isinstance(subclass, type):
            raise TypeError('issubclass() arg 1 must be a class (got %r)' % (subclass, ))
        # Check cache
        try:
            cls.__dict__['_subclass_cache_']
        except KeyError:
            cls._subclass_cache_ = WeakSet()
            cls._subclass_negative_cache_ = WeakSet()
        except RecursionError:
            import sys
            exc, cls, tb = sys.exc_info()
            exc = RecursionError('possible causes for endless recursion:\n    - __getattribute__ is not ignoring __dunder__ attibutes\n    - __instancecheck__ and/or __subclasscheck_ are (mutually) recursive\n    see `aenum.remove_stdlib_integration` for temporary work-around')
            raise_from_none(exc)
        if subclass in cls._subclass_cache_:
            return True
        # Check negative cache
        elif subclass in cls._subclass_negative_cache_:
            return False
        if cls is subclass:
            cls._subclass_cache_.add(subclass)
            return True
        # Check if it's a direct subclass
        if cls in getattr(subclass, '__mro__', ()):
            cls._subclass_cache_.add(subclass)
            return True
        # Check if it's an aenum.Enum|IntEnum|IntFlag|Flag subclass
        if cls is StdlibIntFlag and issubclass(subclass, IntFlag):
            cls._subclass_cache_.add(subclass)
            return True
        elif cls is StdlibFlag and issubclass(subclass, Flag):
            cls._subclass_cache_.add(subclass)
            return True
        elif cls is StdlibIntEnum and issubclass(subclass, IntEnum):
            cls._subclass_cache_.add(subclass)
            return True
        if cls is StdlibEnum and issubclass(subclass, Enum):
            cls._subclass_cache_.add(subclass)
            return True
        # No dice; update negative cache
        cls._subclass_negative_cache_.add(subclass)
        return False

    def __instancecheck__(cls, instance):
        subclass = instance.__class__
        try:
            return cls.__subclasscheck__(subclass)
        except RecursionError:
            import sys
            exc, cls, tb = sys.exc_info()
            exc = RecursionError('possible causes for endless recursion:\n    - __getattribute__ is not ignoring __dunder__ attibutes\n    - __instancecheck__ and/or __subclasscheck_ are (mutually) recursive\n    see `aenum.remove_stdlib_integration` for temporary work-around')
            raise_from_none(exc)


def add_stdlib_integration():
    if StdlibEnum:
        StdlibEnumMeta.__subclasscheck__ = __subclasscheck__
        StdlibEnumMeta.__instancecheck__ = __instancecheck__

def remove_stdlib_integration():
    """
    Remove the __instancecheck__ and __subclasscheck__ overrides from the stdlib Enum.

    Those overrides are in place so that code detecting stdlib enums will also detect
    aenum enums.  If a buggy __getattribute__, __instancecheck__, or __subclasscheck__
    is defined on a custom EnumMeta then RecursionErrors can result; using this
    function after importing aenum will solve that problem, but the better solution is
    to fix the buggy method.
    """
    if StdlibEnum:
        del StdlibEnumMeta.__instancecheck__
        del StdlibEnumMeta.__subclasscheck__

class cls2module(object):
    def __init__(self, cls, *args):
        self.__name__ = cls.__name__
        self._parent_module = cls.__module__
        self.__all__ = []
        all_objects = cls.__dict__
        if not args:
            args = [k for k, v in all_objects.items() if isinstance(v, (NamedConstant, Enum))]
        for name in args:
            self.__dict__[name] = all_objects[name]
            self.__all__.append(name)
    def register(self):
        _sys.modules["%s.%s" % (self._parent_module, self.__name__)] = self