itertools/
lib.rs

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
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
#![warn(missing_docs)]
#![crate_name="itertools"]
#![cfg_attr(not(feature = "use_std"), no_std)]

//! Extra iterator adaptors, functions and macros.
//!
//! To extend [`Iterator`] with methods in this crate, import
//! the [`Itertools`] trait:
//!
//! ```
//! use itertools::Itertools;
//! ```
//!
//! Now, new methods like [`interleave`](Itertools::interleave)
//! are available on all iterators:
//!
//! ```
//! use itertools::Itertools;
//!
//! let it = (1..3).interleave(vec![-1, -2]);
//! itertools::assert_equal(it, vec![1, -1, 2, -2]);
//! ```
//!
//! Most iterator methods are also provided as functions (with the benefit
//! that they convert parameters using [`IntoIterator`]):
//!
//! ```
//! use itertools::interleave;
//!
//! for elt in interleave(&[1, 2, 3], &[2, 3, 4]) {
//!     /* loop body */
//! }
//! ```
//!
//! ## Crate Features
//!
//! - `use_std`
//!   - Enabled by default.
//!   - Disable to compile itertools using `#![no_std]`. This disables
//!     any items that depend on collections (like `group_by`, `unique`,
//!     `kmerge`, `join` and many more).
//!
//! ## Rust Version
//!
//! This version of itertools requires Rust 1.32 or later.
#![doc(html_root_url="https://docs.rs/itertools/0.8/")]

#[cfg(not(feature = "use_std"))]
extern crate core as std;

#[cfg(feature = "use_alloc")]
extern crate alloc;

#[cfg(feature = "use_alloc")]
use alloc::{
    string::String,
    vec::Vec,
};

pub use either::Either;

use core::borrow::Borrow;
#[cfg(feature = "use_std")]
use std::collections::HashMap;
use std::iter::{IntoIterator, once};
use std::cmp::Ordering;
use std::fmt;
#[cfg(feature = "use_std")]
use std::collections::HashSet;
#[cfg(feature = "use_std")]
use std::hash::Hash;
#[cfg(feature = "use_alloc")]
use std::fmt::Write;
#[cfg(feature = "use_alloc")]
type VecIntoIter<T> = alloc::vec::IntoIter<T>;
#[cfg(feature = "use_alloc")]
use std::iter::FromIterator;

#[macro_use]
mod impl_macros;

// for compatibility with no std and macros
#[doc(hidden)]
pub use std::iter as __std_iter;

/// The concrete iterator types.
pub mod structs {
    pub use crate::adaptors::{
        Dedup,
        DedupBy,
        DedupWithCount,
        DedupByWithCount,
        Interleave,
        InterleaveShortest,
        FilterMapOk,
        FilterOk,
        Product,
        PutBack,
        Batching,
        MapInto,
        MapOk,
        Merge,
        MergeBy,
        TakeWhileRef,
        WhileSome,
        Coalesce,
        TupleCombinations,
        Positions,
        Update,
    };
    #[allow(deprecated)]
    pub use crate::adaptors::{MapResults, Step};
    #[cfg(feature = "use_alloc")]
    pub use crate::adaptors::MultiProduct;
    #[cfg(feature = "use_alloc")]
    pub use crate::combinations::Combinations;
    #[cfg(feature = "use_alloc")]
    pub use crate::combinations_with_replacement::CombinationsWithReplacement;
    pub use crate::cons_tuples_impl::ConsTuples;
    pub use crate::exactly_one_err::ExactlyOneError;
    pub use crate::format::{Format, FormatWith};
    pub use crate::flatten_ok::FlattenOk;
    #[cfg(feature = "use_std")]
    pub use crate::grouping_map::{GroupingMap, GroupingMapBy};
    #[cfg(feature = "use_alloc")]
    pub use crate::groupbylazy::{IntoChunks, Chunk, Chunks, GroupBy, Group, Groups};
    pub use crate::intersperse::{Intersperse, IntersperseWith};
    #[cfg(feature = "use_alloc")]
    pub use crate::kmerge_impl::{KMerge, KMergeBy};
    pub use crate::merge_join::MergeJoinBy;
    #[cfg(feature = "use_alloc")]
    pub use crate::multipeek_impl::MultiPeek;
    #[cfg(feature = "use_alloc")]
    pub use crate::peek_nth::PeekNth;
    pub use crate::pad_tail::PadUsing;
    pub use crate::peeking_take_while::PeekingTakeWhile;
    #[cfg(feature = "use_alloc")]
    pub use crate::permutations::Permutations;
    pub use crate::process_results_impl::ProcessResults;
    #[cfg(feature = "use_alloc")]
    pub use crate::powerset::Powerset;
    #[cfg(feature = "use_alloc")]
    pub use crate::put_back_n_impl::PutBackN;
    #[cfg(feature = "use_alloc")]
    pub use crate::rciter_impl::RcIter;
    pub use crate::repeatn::RepeatN;
    #[allow(deprecated)]
    pub use crate::sources::{RepeatCall, Unfold, Iterate};
    pub use crate::take_while_inclusive::TakeWhileInclusive;
    #[cfg(feature = "use_alloc")]
    pub use crate::tee::Tee;
    pub use crate::tuple_impl::{TupleBuffer, TupleWindows, CircularTupleWindows, Tuples};
    #[cfg(feature = "use_std")]
    pub use crate::duplicates_impl::{Duplicates, DuplicatesBy};
    #[cfg(feature = "use_std")]
    pub use crate::unique_impl::{Unique, UniqueBy};
    pub use crate::with_position::WithPosition;
    pub use crate::zip_eq_impl::ZipEq;
    pub use crate::zip_longest::ZipLongest;
    pub use crate::ziptuple::Zip;
}

/// Traits helpful for using certain `Itertools` methods in generic contexts.
pub mod traits {
    pub use crate::tuple_impl::HomogeneousTuple;
}

#[allow(deprecated)]
pub use crate::structs::*;
pub use crate::concat_impl::concat;
pub use crate::cons_tuples_impl::cons_tuples;
pub use crate::diff::diff_with;
pub use crate::diff::Diff;
#[cfg(feature = "use_alloc")]
pub use crate::kmerge_impl::{kmerge_by};
pub use crate::minmax::MinMaxResult;
pub use crate::peeking_take_while::PeekingNext;
pub use crate::process_results_impl::process_results;
pub use crate::repeatn::repeat_n;
#[allow(deprecated)]
pub use crate::sources::{repeat_call, unfold, iterate};
pub use crate::with_position::Position;
pub use crate::unziptuple::{multiunzip, MultiUnzip};
pub use crate::ziptuple::multizip;
mod adaptors;
mod either_or_both;
pub use crate::either_or_both::EitherOrBoth;
#[doc(hidden)]
pub mod free;
#[doc(inline)]
pub use crate::free::*;
mod concat_impl;
mod cons_tuples_impl;
#[cfg(feature = "use_alloc")]
mod combinations;
#[cfg(feature = "use_alloc")]
mod combinations_with_replacement;
mod exactly_one_err;
mod diff;
mod flatten_ok;
#[cfg(feature = "use_std")]
mod extrema_set;
mod format;
#[cfg(feature = "use_std")]
mod grouping_map;
#[cfg(feature = "use_alloc")]
mod group_map;
#[cfg(feature = "use_alloc")]
mod groupbylazy;
mod intersperse;
#[cfg(feature = "use_alloc")]
mod k_smallest;
#[cfg(feature = "use_alloc")]
mod kmerge_impl;
#[cfg(feature = "use_alloc")]
mod lazy_buffer;
mod merge_join;
mod minmax;
#[cfg(feature = "use_alloc")]
mod multipeek_impl;
mod pad_tail;
#[cfg(feature = "use_alloc")]
mod peek_nth;
mod peeking_take_while;
#[cfg(feature = "use_alloc")]
mod permutations;
#[cfg(feature = "use_alloc")]
mod powerset;
mod process_results_impl;
#[cfg(feature = "use_alloc")]
mod put_back_n_impl;
#[cfg(feature = "use_alloc")]
mod rciter_impl;
mod repeatn;
mod size_hint;
mod sources;
mod take_while_inclusive;
#[cfg(feature = "use_alloc")]
mod tee;
mod tuple_impl;
#[cfg(feature = "use_std")]
mod duplicates_impl;
#[cfg(feature = "use_std")]
mod unique_impl;
mod unziptuple;
mod with_position;
mod zip_eq_impl;
mod zip_longest;
mod ziptuple;

#[macro_export]
/// Create an iterator over the “cartesian product” of iterators.
///
/// Iterator element type is like `(A, B, ..., E)` if formed
/// from iterators `(I, J, ..., M)` with element types `I::Item = A`, `J::Item = B`, etc.
///
/// ```
/// # use itertools::iproduct;
/// #
/// # fn main() {
/// // Iterate over the coordinates of a 4 x 4 x 4 grid
/// // from (0, 0, 0), (0, 0, 1), .., (0, 1, 0), (0, 1, 1), .. etc until (3, 3, 3)
/// for (i, j, k) in iproduct!(0..4, 0..4, 0..4) {
///    // ..
/// }
/// # }
/// ```
macro_rules! iproduct {
    (@flatten $I:expr,) => (
        $I
    );
    (@flatten $I:expr, $J:expr, $($K:expr,)*) => (
        $crate::iproduct!(@flatten $crate::cons_tuples($crate::iproduct!($I, $J)), $($K,)*)
    );
    ($I:expr) => (
        $crate::__std_iter::IntoIterator::into_iter($I)
    );
    ($I:expr, $J:expr) => (
        $crate::Itertools::cartesian_product($crate::iproduct!($I), $crate::iproduct!($J))
    );
    ($I:expr, $J:expr, $($K:expr),+) => (
        $crate::iproduct!(@flatten $crate::iproduct!($I, $J), $($K,)+)
    );
}

#[macro_export]
/// Create an iterator running multiple iterators in lockstep.
///
/// The `izip!` iterator yields elements until any subiterator
/// returns `None`.
///
/// This is a version of the standard ``.zip()`` that's supporting more than
/// two iterators. The iterator element type is a tuple with one element
/// from each of the input iterators. Just like ``.zip()``, the iteration stops
/// when the shortest of the inputs reaches its end.
///
/// **Note:** The result of this macro is in the general case an iterator
/// composed of repeated `.zip()` and a `.map()`; it has an anonymous type.
/// The special cases of one and two arguments produce the equivalent of
/// `$a.into_iter()` and `$a.into_iter().zip($b)` respectively.
///
/// Prefer this macro `izip!()` over [`multizip`] for the performance benefits
/// of using the standard library `.zip()`.
///
/// ```
/// # use itertools::izip;
/// #
/// # fn main() {
///
/// // iterate over three sequences side-by-side
/// let mut results = [0, 0, 0, 0];
/// let inputs = [3, 7, 9, 6];
///
/// for (r, index, input) in izip!(&mut results, 0..10, &inputs) {
///     *r = index * 10 + input;
/// }
///
/// assert_eq!(results, [0 + 3, 10 + 7, 29, 36]);
/// # }
/// ```
macro_rules! izip {
    // @closure creates a tuple-flattening closure for .map() call. usage:
    // @closure partial_pattern => partial_tuple , rest , of , iterators
    // eg. izip!( @closure ((a, b), c) => (a, b, c) , dd , ee )
    ( @closure $p:pat => $tup:expr ) => {
        |$p| $tup
    };

    // The "b" identifier is a different identifier on each recursion level thanks to hygiene.
    ( @closure $p:pat => ( $($tup:tt)* ) , $_iter:expr $( , $tail:expr )* ) => {
        $crate::izip!(@closure ($p, b) => ( $($tup)*, b ) $( , $tail )*)
    };

    // unary
    ($first:expr $(,)*) => {
        $crate::__std_iter::IntoIterator::into_iter($first)
    };

    // binary
    ($first:expr, $second:expr $(,)*) => {
        $crate::izip!($first)
            .zip($second)
    };

    // n-ary where n > 2
    ( $first:expr $( , $rest:expr )* $(,)* ) => {
        $crate::izip!($first)
            $(
                .zip($rest)
            )*
            .map(
                $crate::izip!(@closure a => (a) $( , $rest )*)
            )
    };
}

#[macro_export]
/// [Chain][`chain`] zero or more iterators together into one sequence.
///
/// The comma-separated arguments must implement [`IntoIterator`].
/// The final argument may be followed by a trailing comma.
///
/// [`chain`]: Iterator::chain
///
/// # Examples
///
/// Empty invocations of `chain!` expand to an invocation of [`std::iter::empty`]:
/// ```
/// use std::iter;
/// use itertools::chain;
///
/// let _: iter::Empty<()> = chain!();
/// let _: iter::Empty<i8> = chain!();
/// ```
///
/// Invocations of `chain!` with one argument expand to [`arg.into_iter()`](IntoIterator):
/// ```
/// use std::{ops::Range, slice};
/// use itertools::chain;
/// let _: <Range<_> as IntoIterator>::IntoIter = chain!((2..6),); // trailing comma optional!
/// let _:     <&[_] as IntoIterator>::IntoIter = chain!(&[2, 3, 4]);
/// ```
///
/// Invocations of `chain!` with multiple arguments [`.into_iter()`](IntoIterator) each
/// argument, and then [`chain`] them together:
/// ```
/// use std::{iter::*, ops::Range, slice};
/// use itertools::{assert_equal, chain};
///
/// // e.g., this:
/// let with_macro:  Chain<Chain<Once<_>, Take<Repeat<_>>>, slice::Iter<_>> =
///     chain![once(&0), repeat(&1).take(2), &[2, 3, 5],];
///
/// // ...is equivalent to this:
/// let with_method: Chain<Chain<Once<_>, Take<Repeat<_>>>, slice::Iter<_>> =
///     once(&0)
///         .chain(repeat(&1).take(2))
///         .chain(&[2, 3, 5]);
///
/// assert_equal(with_macro, with_method);
/// ```
macro_rules! chain {
    () => {
        core::iter::empty()
    };
    ($first:expr $(, $rest:expr )* $(,)?) => {
        {
            let iter = core::iter::IntoIterator::into_iter($first);
            $(
                let iter =
                    core::iter::Iterator::chain(
                        iter,
                        core::iter::IntoIterator::into_iter($rest));
            )*
            iter
        }
    };
}

/// An [`Iterator`] blanket implementation that provides extra adaptors and
/// methods.
///
/// This trait defines a number of methods. They are divided into two groups:
///
/// * *Adaptors* take an iterator and parameter as input, and return
/// a new iterator value. These are listed first in the trait. An example
/// of an adaptor is [`.interleave()`](Itertools::interleave)
///
/// * *Regular methods* are those that don't return iterators and instead
/// return a regular value of some other kind.
/// [`.next_tuple()`](Itertools::next_tuple) is an example and the first regular
/// method in the list.
pub trait Itertools : Iterator {
    // adaptors

    /// Alternate elements from two iterators until both have run out.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (1..7).interleave(vec![-1, -2]);
    /// itertools::assert_equal(it, vec![1, -1, 2, -2, 3, 4, 5, 6]);
    /// ```
    fn interleave<J>(self, other: J) -> Interleave<Self, J::IntoIter>
        where J: IntoIterator<Item = Self::Item>,
              Self: Sized
    {
        interleave(self, other)
    }

    /// Alternate elements from two iterators until at least one of them has run
    /// out.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (1..7).interleave_shortest(vec![-1, -2]);
    /// itertools::assert_equal(it, vec![1, -1, 2, -2, 3]);
    /// ```
    fn interleave_shortest<J>(self, other: J) -> InterleaveShortest<Self, J::IntoIter>
        where J: IntoIterator<Item = Self::Item>,
              Self: Sized
    {
        adaptors::interleave_shortest(self, other.into_iter())
    }

    /// An iterator adaptor to insert a particular value
    /// between each element of the adapted iterator.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// itertools::assert_equal((0..3).intersperse(8), vec![0, 8, 1, 8, 2]);
    /// ```
    fn intersperse(self, element: Self::Item) -> Intersperse<Self>
        where Self: Sized,
              Self::Item: Clone
    {
        intersperse::intersperse(self, element)
    }

    /// An iterator adaptor to insert a particular value created by a function
    /// between each element of the adapted iterator.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut i = 10;
    /// itertools::assert_equal((0..3).intersperse_with(|| { i -= 1; i }), vec![0, 9, 1, 8, 2]);
    /// assert_eq!(i, 8);
    /// ```
    fn intersperse_with<F>(self, element: F) -> IntersperseWith<Self, F>
        where Self: Sized,
        F: FnMut() -> Self::Item
    {
        intersperse::intersperse_with(self, element)
    }

    /// Create an iterator which iterates over both this and the specified
    /// iterator simultaneously, yielding pairs of two optional elements.
    ///
    /// This iterator is *fused*.
    ///
    /// As long as neither input iterator is exhausted yet, it yields two values
    /// via `EitherOrBoth::Both`.
    ///
    /// When the parameter iterator is exhausted, it only yields a value from the
    /// `self` iterator via `EitherOrBoth::Left`.
    ///
    /// When the `self` iterator is exhausted, it only yields a value from the
    /// parameter iterator via `EitherOrBoth::Right`.
    ///
    /// When both iterators return `None`, all further invocations of `.next()`
    /// will return `None`.
    ///
    /// Iterator element type is
    /// [`EitherOrBoth<Self::Item, J::Item>`](EitherOrBoth).
    ///
    /// ```rust
    /// use itertools::EitherOrBoth::{Both, Right};
    /// use itertools::Itertools;
    /// let it = (0..1).zip_longest(1..3);
    /// itertools::assert_equal(it, vec![Both(0, 1), Right(2)]);
    /// ```
    #[inline]
    fn zip_longest<J>(self, other: J) -> ZipLongest<Self, J::IntoIter>
        where J: IntoIterator,
              Self: Sized
    {
        zip_longest::zip_longest(self, other.into_iter())
    }

    /// Create an iterator which iterates over both this and the specified
    /// iterator simultaneously, yielding pairs of elements.
    ///
    /// **Panics** if the iterators reach an end and they are not of equal
    /// lengths.
    #[inline]
    fn zip_eq<J>(self, other: J) -> ZipEq<Self, J::IntoIter>
        where J: IntoIterator,
              Self: Sized
    {
        zip_eq(self, other)
    }

    /// A “meta iterator adaptor”. Its closure receives a reference to the
    /// iterator and may pick off as many elements as it likes, to produce the
    /// next iterator element.
    ///
    /// Iterator element type is `B`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // An adaptor that gathers elements in pairs
    /// let pit = (0..4).batching(|it| {
    ///            match it.next() {
    ///                None => None,
    ///                Some(x) => match it.next() {
    ///                    None => None,
    ///                    Some(y) => Some((x, y)),
    ///                }
    ///            }
    ///        });
    ///
    /// itertools::assert_equal(pit, vec![(0, 1), (2, 3)]);
    /// ```
    ///
    fn batching<B, F>(self, f: F) -> Batching<Self, F>
        where F: FnMut(&mut Self) -> Option<B>,
              Self: Sized
    {
        adaptors::batching(self, f)
    }

    /// Return an *iterable* that can group iterator elements.
    /// Consecutive elements that map to the same key (“runs”), are assigned
    /// to the same group.
    ///
    /// `GroupBy` is the storage for the lazy grouping operation.
    ///
    /// If the groups are consumed in order, or if each group's iterator is
    /// dropped without keeping it around, then `GroupBy` uses no
    /// allocations.  It needs allocations only if several group iterators
    /// are alive at the same time.
    ///
    /// This type implements [`IntoIterator`] (it is **not** an iterator
    /// itself), because the group iterators need to borrow from this
    /// value. It should be stored in a local variable or temporary and
    /// iterated.
    ///
    /// Iterator element type is `(K, Group)`: the group's key and the
    /// group iterator.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // group data into runs of larger than zero or not.
    /// let data = vec![1, 3, -2, -2, 1, 0, 1, 2];
    /// // groups:     |---->|------>|--------->|
    ///
    /// // Note: The `&` is significant here, `GroupBy` is iterable
    /// // only by reference. You can also call `.into_iter()` explicitly.
    /// let mut data_grouped = Vec::new();
    /// for (key, group) in &data.into_iter().group_by(|elt| *elt >= 0) {
    ///     data_grouped.push((key, group.collect()));
    /// }
    /// assert_eq!(data_grouped, vec![(true, vec![1, 3]), (false, vec![-2, -2]), (true, vec![1, 0, 1, 2])]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn group_by<K, F>(self, key: F) -> GroupBy<K, Self, F>
        where Self: Sized,
              F: FnMut(&Self::Item) -> K,
              K: PartialEq,
    {
        groupbylazy::new(self, key)
    }

    /// Return an *iterable* that can chunk the iterator.
    ///
    /// Yield subiterators (chunks) that each yield a fixed number elements,
    /// determined by `size`. The last chunk will be shorter if there aren't
    /// enough elements.
    ///
    /// `IntoChunks` is based on `GroupBy`: it is iterable (implements
    /// `IntoIterator`, **not** `Iterator`), and it only buffers if several
    /// chunk iterators are alive at the same time.
    ///
    /// Iterator element type is `Chunk`, each chunk's iterator.
    ///
    /// **Panics** if `size` is 0.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1, 1, 2, -2, 6, 0, 3, 1];
    /// //chunk size=3 |------->|-------->|--->|
    ///
    /// // Note: The `&` is significant here, `IntoChunks` is iterable
    /// // only by reference. You can also call `.into_iter()` explicitly.
    /// for chunk in &data.into_iter().chunks(3) {
    ///     // Check that the sum of each chunk is 4.
    ///     assert_eq!(4, chunk.sum());
    /// }
    /// ```
    #[cfg(feature = "use_alloc")]
    fn chunks(self, size: usize) -> IntoChunks<Self>
        where Self: Sized,
    {
        assert!(size != 0);
        groupbylazy::new_chunks(self, size)
    }

    /// Return an iterator over all contiguous windows producing tuples of
    /// a specific size (up to 12).
    ///
    /// `tuple_windows` clones the iterator elements so that they can be
    /// part of successive windows, this makes it most suited for iterators
    /// of references and other values that are cheap to copy.
    ///
    /// ```
    /// use itertools::Itertools;
    /// let mut v = Vec::new();
    ///
    /// // pairwise iteration
    /// for (a, b) in (1..5).tuple_windows() {
    ///     v.push((a, b));
    /// }
    /// assert_eq!(v, vec![(1, 2), (2, 3), (3, 4)]);
    ///
    /// let mut it = (1..5).tuple_windows();
    /// assert_eq!(Some((1, 2, 3)), it.next());
    /// assert_eq!(Some((2, 3, 4)), it.next());
    /// assert_eq!(None, it.next());
    ///
    /// // this requires a type hint
    /// let it = (1..5).tuple_windows::<(_, _, _)>();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (2, 3, 4)]);
    ///
    /// // you can also specify the complete type
    /// use itertools::TupleWindows;
    /// use std::ops::Range;
    ///
    /// let it: TupleWindows<Range<u32>, (u32, u32, u32)> = (1..5).tuple_windows();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (2, 3, 4)]);
    /// ```
    fn tuple_windows<T>(self) -> TupleWindows<Self, T>
        where Self: Sized + Iterator<Item = T::Item>,
              T: traits::HomogeneousTuple,
              T::Item: Clone
    {
        tuple_impl::tuple_windows(self)
    }

    /// Return an iterator over all windows, wrapping back to the first
    /// elements when the window would otherwise exceed the length of the
    /// iterator, producing tuples of a specific size (up to 12).
    ///
    /// `circular_tuple_windows` clones the iterator elements so that they can be
    /// part of successive windows, this makes it most suited for iterators
    /// of references and other values that are cheap to copy.
    ///
    /// ```
    /// use itertools::Itertools;
    /// let mut v = Vec::new();
    /// for (a, b) in (1..5).circular_tuple_windows() {
    ///     v.push((a, b));
    /// }
    /// assert_eq!(v, vec![(1, 2), (2, 3), (3, 4), (4, 1)]);
    ///
    /// let mut it = (1..5).circular_tuple_windows();
    /// assert_eq!(Some((1, 2, 3)), it.next());
    /// assert_eq!(Some((2, 3, 4)), it.next());
    /// assert_eq!(Some((3, 4, 1)), it.next());
    /// assert_eq!(Some((4, 1, 2)), it.next());
    /// assert_eq!(None, it.next());
    ///
    /// // this requires a type hint
    /// let it = (1..5).circular_tuple_windows::<(_, _, _)>();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (2, 3, 4), (3, 4, 1), (4, 1, 2)]);
    /// ```
    fn circular_tuple_windows<T>(self) -> CircularTupleWindows<Self, T>
        where Self: Sized + Clone + Iterator<Item = T::Item> + ExactSizeIterator,
              T: tuple_impl::TupleCollect + Clone,
              T::Item: Clone
    {
        tuple_impl::circular_tuple_windows(self)
    }
    /// Return an iterator that groups the items in tuples of a specific size
    /// (up to 12).
    ///
    /// See also the method [`.next_tuple()`](Itertools::next_tuple).
    ///
    /// ```
    /// use itertools::Itertools;
    /// let mut v = Vec::new();
    /// for (a, b) in (1..5).tuples() {
    ///     v.push((a, b));
    /// }
    /// assert_eq!(v, vec![(1, 2), (3, 4)]);
    ///
    /// let mut it = (1..7).tuples();
    /// assert_eq!(Some((1, 2, 3)), it.next());
    /// assert_eq!(Some((4, 5, 6)), it.next());
    /// assert_eq!(None, it.next());
    ///
    /// // this requires a type hint
    /// let it = (1..7).tuples::<(_, _, _)>();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (4, 5, 6)]);
    ///
    /// // you can also specify the complete type
    /// use itertools::Tuples;
    /// use std::ops::Range;
    ///
    /// let it: Tuples<Range<u32>, (u32, u32, u32)> = (1..7).tuples();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (4, 5, 6)]);
    /// ```
    ///
    /// See also [`Tuples::into_buffer`].
    fn tuples<T>(self) -> Tuples<Self, T>
        where Self: Sized + Iterator<Item = T::Item>,
              T: traits::HomogeneousTuple
    {
        tuple_impl::tuples(self)
    }

    /// Split into an iterator pair that both yield all elements from
    /// the original iterator.
    ///
    /// **Note:** If the iterator is clonable, prefer using that instead
    /// of using this method. Cloning is likely to be more efficient.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    /// let xs = vec![0, 1, 2, 3];
    ///
    /// let (mut t1, t2) = xs.into_iter().tee();
    /// itertools::assert_equal(t1.next(), Some(0));
    /// itertools::assert_equal(t2, 0..4);
    /// itertools::assert_equal(t1, 1..4);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn tee(self) -> (Tee<Self>, Tee<Self>)
        where Self: Sized,
              Self::Item: Clone
    {
        tee::new(self)
    }

    /// Return an iterator adaptor that steps `n` elements in the base iterator
    /// for each iteration.
    ///
    /// The iterator steps by yielding the next element from the base iterator,
    /// then skipping forward `n - 1` elements.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// **Panics** if the step is 0.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (0..8).step(3);
    /// itertools::assert_equal(it, vec![0, 3, 6]);
    /// ```
    #[deprecated(note="Use std .step_by() instead", since="0.8.0")]
    #[allow(deprecated)]
    fn step(self, n: usize) -> Step<Self>
        where Self: Sized
    {
        adaptors::step(self, n)
    }

    /// Convert each item of the iterator using the [`Into`] trait.
    ///
    /// ```rust
    /// use itertools::Itertools;
    ///
    /// (1i32..42i32).map_into::<f64>().collect_vec();
    /// ```
    fn map_into<R>(self) -> MapInto<Self, R>
        where Self: Sized,
              Self::Item: Into<R>,
    {
        adaptors::map_into(self)
    }

    /// See [`.map_ok()`](Itertools::map_ok).
    #[deprecated(note="Use .map_ok() instead", since="0.10.0")]
    fn map_results<F, T, U, E>(self, f: F) -> MapOk<Self, F>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              F: FnMut(T) -> U,
    {
        self.map_ok(f)
    }

    /// Return an iterator adaptor that applies the provided closure
    /// to every `Result::Ok` value. `Result::Err` values are
    /// unchanged.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let input = vec![Ok(41), Err(false), Ok(11)];
    /// let it = input.into_iter().map_ok(|i| i + 1);
    /// itertools::assert_equal(it, vec![Ok(42), Err(false), Ok(12)]);
    /// ```
    fn map_ok<F, T, U, E>(self, f: F) -> MapOk<Self, F>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              F: FnMut(T) -> U,
    {
        adaptors::map_ok(self, f)
    }

    /// Return an iterator adaptor that filters every `Result::Ok`
    /// value with the provided closure. `Result::Err` values are
    /// unchanged.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let input = vec![Ok(22), Err(false), Ok(11)];
    /// let it = input.into_iter().filter_ok(|&i| i > 20);
    /// itertools::assert_equal(it, vec![Ok(22), Err(false)]);
    /// ```
    fn filter_ok<F, T, E>(self, f: F) -> FilterOk<Self, F>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              F: FnMut(&T) -> bool,
    {
        adaptors::filter_ok(self, f)
    }

    /// Return an iterator adaptor that filters and transforms every
    /// `Result::Ok` value with the provided closure. `Result::Err`
    /// values are unchanged.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let input = vec![Ok(22), Err(false), Ok(11)];
    /// let it = input.into_iter().filter_map_ok(|i| if i > 20 { Some(i * 2) } else { None });
    /// itertools::assert_equal(it, vec![Ok(44), Err(false)]);
    /// ```
    fn filter_map_ok<F, T, U, E>(self, f: F) -> FilterMapOk<Self, F>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              F: FnMut(T) -> Option<U>,
    {
        adaptors::filter_map_ok(self, f)
    }

    /// Return an iterator adaptor that flattens every `Result::Ok` value into
    /// a series of `Result::Ok` values. `Result::Err` values are unchanged.
    ///
    /// This is useful when you have some common error type for your crate and
    /// need to propagate it upwards, but the `Result::Ok` case needs to be flattened.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let input = vec![Ok(0..2), Err(false), Ok(2..4)];
    /// let it = input.iter().cloned().flatten_ok();
    /// itertools::assert_equal(it.clone(), vec![Ok(0), Ok(1), Err(false), Ok(2), Ok(3)]);
    ///
    /// // This can also be used to propagate errors when collecting.
    /// let output_result: Result<Vec<i32>, bool> = it.collect();
    /// assert_eq!(output_result, Err(false));
    /// ```
    fn flatten_ok<T, E>(self) -> FlattenOk<Self, T, E>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              T: IntoIterator
    {
        flatten_ok::flatten_ok(self)
    }

    /// “Lift” a function of the values of the current iterator so as to process
    /// an iterator of `Result` values instead.
    ///
    /// `processor` is a closure that receives an adapted version of the iterator
    /// as the only argument — the adapted iterator produces elements of type `T`,
    /// as long as the original iterator produces `Ok` values.
    ///
    /// If the original iterable produces an error at any point, the adapted
    /// iterator ends and it will return the error iself.
    ///
    /// Otherwise, the return value from the closure is returned wrapped
    /// inside `Ok`.
    ///
    /// # Example
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// type Item = Result<i32, &'static str>;
    ///
    /// let first_values: Vec<Item> = vec![Ok(1), Ok(0), Ok(3)];
    /// let second_values: Vec<Item> = vec![Ok(2), Ok(1), Err("overflow")];
    ///
    /// // “Lift” the iterator .max() method to work on the Ok-values.
    /// let first_max = first_values.into_iter().process_results(|iter| iter.max().unwrap_or(0));
    /// let second_max = second_values.into_iter().process_results(|iter| iter.max().unwrap_or(0));
    ///
    /// assert_eq!(first_max, Ok(3));
    /// assert!(second_max.is_err());
    /// ```
    fn process_results<F, T, E, R>(self, processor: F) -> Result<R, E>
        where Self: Iterator<Item = Result<T, E>> + Sized,
              F: FnOnce(ProcessResults<Self, E>) -> R
    {
        process_results(self, processor)
    }

    /// Return an iterator adaptor that merges the two base iterators in
    /// ascending order.  If both base iterators are sorted (ascending), the
    /// result is sorted.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a = (0..11).step_by(3);
    /// let b = (0..11).step_by(5);
    /// let it = a.merge(b);
    /// itertools::assert_equal(it, vec![0, 0, 3, 5, 6, 9, 10]);
    /// ```
    fn merge<J>(self, other: J) -> Merge<Self, J::IntoIter>
        where Self: Sized,
              Self::Item: PartialOrd,
              J: IntoIterator<Item = Self::Item>
    {
        merge(self, other)
    }

    /// Return an iterator adaptor that merges the two base iterators in order.
    /// This is much like [`.merge()`](Itertools::merge) but allows for a custom ordering.
    ///
    /// This can be especially useful for sequences of tuples.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a = (0..).zip("bc".chars());
    /// let b = (0..).zip("ad".chars());
    /// let it = a.merge_by(b, |x, y| x.1 <= y.1);
    /// itertools::assert_equal(it, vec![(0, 'a'), (0, 'b'), (1, 'c'), (1, 'd')]);
    /// ```

    fn merge_by<J, F>(self, other: J, is_first: F) -> MergeBy<Self, J::IntoIter, F>
        where Self: Sized,
              J: IntoIterator<Item = Self::Item>,
              F: FnMut(&Self::Item, &Self::Item) -> bool
    {
        adaptors::merge_by_new(self, other.into_iter(), is_first)
    }

    /// Create an iterator that merges items from both this and the specified
    /// iterator in ascending order.
    ///
    /// The function can either return an `Ordering` variant or a boolean.
    ///
    /// If `cmp_fn` returns `Ordering`,
    /// it chooses whether to pair elements based on the `Ordering` returned by the
    /// specified compare function. At any point, inspecting the tip of the
    /// iterators `I` and `J` as items `i` of type `I::Item` and `j` of type
    /// `J::Item` respectively, the resulting iterator will:
    ///
    /// - Emit `EitherOrBoth::Left(i)` when `i < j`,
    ///   and remove `i` from its source iterator
    /// - Emit `EitherOrBoth::Right(j)` when `i > j`,
    ///   and remove `j` from its source iterator
    /// - Emit `EitherOrBoth::Both(i, j)` when  `i == j`,
    ///   and remove both `i` and `j` from their respective source iterators
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::EitherOrBoth::{Left, Right, Both};
    ///
    /// let a = vec![0, 2, 4, 6, 1].into_iter();
    /// let b = (0..10).step_by(3);
    ///
    /// itertools::assert_equal(
    ///     a.merge_join_by(b, |i, j| i.cmp(j)),
    ///     vec![Both(0, 0), Left(2), Right(3), Left(4), Both(6, 6), Left(1), Right(9)]
    /// );
    /// ```
    ///
    /// If `cmp_fn` returns `bool`,
    /// it chooses whether to pair elements based on the boolean returned by the
    /// specified function. At any point, inspecting the tip of the
    /// iterators `I` and `J` as items `i` of type `I::Item` and `j` of type
    /// `J::Item` respectively, the resulting iterator will:
    ///
    /// - Emit `Either::Left(i)` when `true`,
    ///   and remove `i` from its source iterator
    /// - Emit `Either::Right(j)` when `false`,
    ///   and remove `j` from its source iterator
    ///
    /// It is similar to the `Ordering` case if the first argument is considered
    /// "less" than the second argument.
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::Either::{Left, Right};
    ///
    /// let a = vec![0, 2, 4, 6, 1].into_iter();
    /// let b = (0..10).step_by(3);
    ///
    /// itertools::assert_equal(
    ///     a.merge_join_by(b, |i, j| i <= j),
    ///     vec![Left(0), Right(0), Left(2), Right(3), Left(4), Left(6), Left(1), Right(6), Right(9)]
    /// );
    /// ```
    #[inline]
    fn merge_join_by<J, F, T>(self, other: J, cmp_fn: F) -> MergeJoinBy<Self, J::IntoIter, F>
        where J: IntoIterator,
              F: FnMut(&Self::Item, &J::Item) -> T,
              T: merge_join::OrderingOrBool<Self::Item, J::Item>,
              Self: Sized
    {
        merge_join_by(self, other, cmp_fn)
    }

    /// Return an iterator adaptor that flattens an iterator of iterators by
    /// merging them in ascending order.
    ///
    /// If all base iterators are sorted (ascending), the result is sorted.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a = (0..6).step_by(3);
    /// let b = (1..6).step_by(3);
    /// let c = (2..6).step_by(3);
    /// let it = vec![a, b, c].into_iter().kmerge();
    /// itertools::assert_equal(it, vec![0, 1, 2, 3, 4, 5]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn kmerge(self) -> KMerge<<Self::Item as IntoIterator>::IntoIter>
        where Self: Sized,
              Self::Item: IntoIterator,
              <Self::Item as IntoIterator>::Item: PartialOrd,
    {
        kmerge(self)
    }

    /// Return an iterator adaptor that flattens an iterator of iterators by
    /// merging them according to the given closure.
    ///
    /// The closure `first` is called with two elements *a*, *b* and should
    /// return `true` if *a* is ordered before *b*.
    ///
    /// If all base iterators are sorted according to `first`, the result is
    /// sorted.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a = vec![-1f64, 2., 3., -5., 6., -7.];
    /// let b = vec![0., 2., -4.];
    /// let mut it = vec![a, b].into_iter().kmerge_by(|a, b| a.abs() < b.abs());
    /// assert_eq!(it.next(), Some(0.));
    /// assert_eq!(it.last(), Some(-7.));
    /// ```
    #[cfg(feature = "use_alloc")]
    fn kmerge_by<F>(self, first: F)
        -> KMergeBy<<Self::Item as IntoIterator>::IntoIter, F>
        where Self: Sized,
              Self::Item: IntoIterator,
              F: FnMut(&<Self::Item as IntoIterator>::Item,
                       &<Self::Item as IntoIterator>::Item) -> bool
    {
        kmerge_by(self, first)
    }

    /// Return an iterator adaptor that iterates over the cartesian product of
    /// the element sets of two iterators `self` and `J`.
    ///
    /// Iterator element type is `(Self::Item, J::Item)`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (0..2).cartesian_product("αβ".chars());
    /// itertools::assert_equal(it, vec![(0, 'α'), (0, 'β'), (1, 'α'), (1, 'β')]);
    /// ```
    fn cartesian_product<J>(self, other: J) -> Product<Self, J::IntoIter>
        where Self: Sized,
              Self::Item: Clone,
              J: IntoIterator,
              J::IntoIter: Clone
    {
        adaptors::cartesian_product(self, other.into_iter())
    }

    /// Return an iterator adaptor that iterates over the cartesian product of
    /// all subiterators returned by meta-iterator `self`.
    ///
    /// All provided iterators must yield the same `Item` type. To generate
    /// the product of iterators yielding multiple types, use the
    /// [`iproduct`] macro instead.
    ///
    ///
    /// The iterator element type is `Vec<T>`, where `T` is the iterator element
    /// of the subiterators.
    ///
    /// ```
    /// use itertools::Itertools;
    /// let mut multi_prod = (0..3).map(|i| (i * 2)..(i * 2 + 2))
    ///     .multi_cartesian_product();
    /// assert_eq!(multi_prod.next(), Some(vec![0, 2, 4]));
    /// assert_eq!(multi_prod.next(), Some(vec![0, 2, 5]));
    /// assert_eq!(multi_prod.next(), Some(vec![0, 3, 4]));
    /// assert_eq!(multi_prod.next(), Some(vec![0, 3, 5]));
    /// assert_eq!(multi_prod.next(), Some(vec![1, 2, 4]));
    /// assert_eq!(multi_prod.next(), Some(vec![1, 2, 5]));
    /// assert_eq!(multi_prod.next(), Some(vec![1, 3, 4]));
    /// assert_eq!(multi_prod.next(), Some(vec![1, 3, 5]));
    /// assert_eq!(multi_prod.next(), None);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn multi_cartesian_product(self) -> MultiProduct<<Self::Item as IntoIterator>::IntoIter>
        where Self: Sized,
              Self::Item: IntoIterator,
              <Self::Item as IntoIterator>::IntoIter: Clone,
              <Self::Item as IntoIterator>::Item: Clone
    {
        adaptors::multi_cartesian_product(self)
    }

    /// Return an iterator adaptor that uses the passed-in closure to
    /// optionally merge together consecutive elements.
    ///
    /// The closure `f` is passed two elements, `previous` and `current` and may
    /// return either (1) `Ok(combined)` to merge the two values or
    /// (2) `Err((previous', current'))` to indicate they can't be merged.
    /// In (2), the value `previous'` is emitted by the iterator.
    /// Either (1) `combined` or (2) `current'` becomes the previous value
    /// when coalesce continues with the next pair of elements to merge. The
    /// value that remains at the end is also emitted by the iterator.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sum same-sign runs together
    /// let data = vec![-1., -2., -3., 3., 1., 0., -1.];
    /// itertools::assert_equal(data.into_iter().coalesce(|x, y|
    ///         if (x >= 0.) == (y >= 0.) {
    ///             Ok(x + y)
    ///         } else {
    ///             Err((x, y))
    ///         }),
    ///         vec![-6., 4., -1.]);
    /// ```
    fn coalesce<F>(self, f: F) -> Coalesce<Self, F>
        where Self: Sized,
              F: FnMut(Self::Item, Self::Item)
                       -> Result<Self::Item, (Self::Item, Self::Item)>
    {
        adaptors::coalesce(self, f)
    }

    /// Remove duplicates from sections of consecutive identical elements.
    /// If the iterator is sorted, all elements will be unique.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1., 1., 2., 3., 3., 2., 2.];
    /// itertools::assert_equal(data.into_iter().dedup(),
    ///                         vec![1., 2., 3., 2.]);
    /// ```
    fn dedup(self) -> Dedup<Self>
        where Self: Sized,
              Self::Item: PartialEq,
    {
        adaptors::dedup(self)
    }

    /// Remove duplicates from sections of consecutive identical elements,
    /// determining equality using a comparison function.
    /// If the iterator is sorted, all elements will be unique.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![(0, 1.), (1, 1.), (0, 2.), (0, 3.), (1, 3.), (1, 2.), (2, 2.)];
    /// itertools::assert_equal(data.into_iter().dedup_by(|x, y| x.1 == y.1),
    ///                         vec![(0, 1.), (0, 2.), (0, 3.), (1, 2.)]);
    /// ```
    fn dedup_by<Cmp>(self, cmp: Cmp) -> DedupBy<Self, Cmp>
        where Self: Sized,
              Cmp: FnMut(&Self::Item, &Self::Item)->bool,
    {
        adaptors::dedup_by(self, cmp)
    }

    /// Remove duplicates from sections of consecutive identical elements, while keeping a count of
    /// how many repeated elements were present.
    /// If the iterator is sorted, all elements will be unique.
    ///
    /// Iterator element type is `(usize, Self::Item)`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec!['a', 'a', 'b', 'c', 'c', 'b', 'b'];
    /// itertools::assert_equal(data.into_iter().dedup_with_count(),
    ///                         vec![(2, 'a'), (1, 'b'), (2, 'c'), (2, 'b')]);
    /// ```
    fn dedup_with_count(self) -> DedupWithCount<Self>
    where
        Self: Sized,
    {
        adaptors::dedup_with_count(self)
    }

    /// Remove duplicates from sections of consecutive identical elements, while keeping a count of
    /// how many repeated elements were present.
    /// This will determine equality using a comparison function.
    /// If the iterator is sorted, all elements will be unique.
    ///
    /// Iterator element type is `(usize, Self::Item)`.
    ///
    /// This iterator is *fused*.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![(0, 'a'), (1, 'a'), (0, 'b'), (0, 'c'), (1, 'c'), (1, 'b'), (2, 'b')];
    /// itertools::assert_equal(data.into_iter().dedup_by_with_count(|x, y| x.1 == y.1),
    ///                         vec![(2, (0, 'a')), (1, (0, 'b')), (2, (0, 'c')), (2, (1, 'b'))]);
    /// ```
    fn dedup_by_with_count<Cmp>(self, cmp: Cmp) -> DedupByWithCount<Self, Cmp>
    where
        Self: Sized,
        Cmp: FnMut(&Self::Item, &Self::Item) -> bool,
    {
        adaptors::dedup_by_with_count(self, cmp)
    }

    /// Return an iterator adaptor that produces elements that appear more than once during the
    /// iteration. Duplicates are detected using hash and equality.
    ///
    /// The iterator is stable, returning the duplicate items in the order in which they occur in
    /// the adapted iterator. Each duplicate item is returned exactly once. If an item appears more
    /// than twice, the second item is the item retained and the rest are discarded.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![10, 20, 30, 20, 40, 10, 50];
    /// itertools::assert_equal(data.into_iter().duplicates(),
    ///                         vec![20, 10]);
    /// ```
    #[cfg(feature = "use_std")]
    fn duplicates(self) -> Duplicates<Self>
        where Self: Sized,
              Self::Item: Eq + Hash
    {
        duplicates_impl::duplicates(self)
    }

    /// Return an iterator adaptor that produces elements that appear more than once during the
    /// iteration. Duplicates are detected using hash and equality.
    ///
    /// Duplicates are detected by comparing the key they map to with the keying function `f` by
    /// hash and equality. The keys are stored in a hash map in the iterator.
    ///
    /// The iterator is stable, returning the duplicate items in the order in which they occur in
    /// the adapted iterator. Each duplicate item is returned exactly once. If an item appears more
    /// than twice, the second item is the item retained and the rest are discarded.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec!["a", "bb", "aa", "c", "ccc"];
    /// itertools::assert_equal(data.into_iter().duplicates_by(|s| s.len()),
    ///                         vec!["aa", "c"]);
    /// ```
    #[cfg(feature = "use_std")]
    fn duplicates_by<V, F>(self, f: F) -> DuplicatesBy<Self, V, F>
        where Self: Sized,
              V: Eq + Hash,
              F: FnMut(&Self::Item) -> V
    {
        duplicates_impl::duplicates_by(self, f)
    }

    /// Return an iterator adaptor that filters out elements that have
    /// already been produced once during the iteration. Duplicates
    /// are detected using hash and equality.
    ///
    /// Clones of visited elements are stored in a hash set in the
    /// iterator.
    ///
    /// The iterator is stable, returning the non-duplicate items in the order
    /// in which they occur in the adapted iterator. In a set of duplicate
    /// items, the first item encountered is the item retained.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![10, 20, 30, 20, 40, 10, 50];
    /// itertools::assert_equal(data.into_iter().unique(),
    ///                         vec![10, 20, 30, 40, 50]);
    /// ```
    #[cfg(feature = "use_std")]
    fn unique(self) -> Unique<Self>
        where Self: Sized,
              Self::Item: Clone + Eq + Hash
    {
        unique_impl::unique(self)
    }

    /// Return an iterator adaptor that filters out elements that have
    /// already been produced once during the iteration.
    ///
    /// Duplicates are detected by comparing the key they map to
    /// with the keying function `f` by hash and equality.
    /// The keys are stored in a hash set in the iterator.
    ///
    /// The iterator is stable, returning the non-duplicate items in the order
    /// in which they occur in the adapted iterator. In a set of duplicate
    /// items, the first item encountered is the item retained.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec!["a", "bb", "aa", "c", "ccc"];
    /// itertools::assert_equal(data.into_iter().unique_by(|s| s.len()),
    ///                         vec!["a", "bb", "ccc"]);
    /// ```
    #[cfg(feature = "use_std")]
    fn unique_by<V, F>(self, f: F) -> UniqueBy<Self, V, F>
        where Self: Sized,
              V: Eq + Hash,
              F: FnMut(&Self::Item) -> V
    {
        unique_impl::unique_by(self, f)
    }

    /// Return an iterator adaptor that borrows from this iterator and
    /// takes items while the closure `accept` returns `true`.
    ///
    /// This adaptor can only be used on iterators that implement `PeekingNext`
    /// like `.peekable()`, `put_back` and a few other collection iterators.
    ///
    /// The last and rejected element (first `false`) is still available when
    /// `peeking_take_while` is done.
    ///
    ///
    /// See also [`.take_while_ref()`](Itertools::take_while_ref)
    /// which is a similar adaptor.
    fn peeking_take_while<F>(&mut self, accept: F) -> PeekingTakeWhile<Self, F>
        where Self: Sized + PeekingNext,
              F: FnMut(&Self::Item) -> bool,
    {
        peeking_take_while::peeking_take_while(self, accept)
    }

    /// Return an iterator adaptor that borrows from a `Clone`-able iterator
    /// to only pick off elements while the predicate `accept` returns `true`.
    ///
    /// It uses the `Clone` trait to restore the original iterator so that the
    /// last and rejected element (first `false`) is still available when
    /// `take_while_ref` is done.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut hexadecimals = "0123456789abcdef".chars();
    ///
    /// let decimals = hexadecimals.take_while_ref(|c| c.is_numeric())
    ///                            .collect::<String>();
    /// assert_eq!(decimals, "0123456789");
    /// assert_eq!(hexadecimals.next(), Some('a'));
    ///
    /// ```
    fn take_while_ref<F>(&mut self, accept: F) -> TakeWhileRef<Self, F>
        where Self: Clone,
              F: FnMut(&Self::Item) -> bool
    {
        adaptors::take_while_ref(self, accept)
    }

    /// Returns an iterator adaptor that consumes elements while the given
    /// predicate is `true`, *including* the element for which the predicate
    /// first returned `false`.
    ///
    /// The [`.take_while()`][std::iter::Iterator::take_while] adaptor is useful
    /// when you want items satisfying a predicate, but to know when to stop
    /// taking elements, we have to consume that first element that doesn't
    /// satisfy the predicate. This adaptor includes that element where
    /// [`.take_while()`][std::iter::Iterator::take_while] would drop it.
    ///
    /// The [`.take_while_ref()`][crate::Itertools::take_while_ref] adaptor
    /// serves a similar purpose, but this adaptor doesn't require [`Clone`]ing
    /// the underlying elements.
    ///
    /// ```rust
    /// # use itertools::Itertools;
    /// let items = vec![1, 2, 3, 4, 5];
    /// let filtered: Vec<_> = items
    ///     .into_iter()
    ///     .take_while_inclusive(|&n| n % 3 != 0)
    ///     .collect();
    ///
    /// assert_eq!(filtered, vec![1, 2, 3]);
    /// ```
    ///
    /// ```rust
    /// # use itertools::Itertools;
    /// let items = vec![1, 2, 3, 4, 5];
    ///
    /// let take_while_inclusive_result: Vec<_> = items
    ///     .iter()
    ///     .copied()
    ///     .take_while_inclusive(|&n| n % 3 != 0)
    ///     .collect();
    /// let take_while_result: Vec<_> = items
    ///     .into_iter()
    ///     .take_while(|&n| n % 3 != 0)
    ///     .collect();
    ///
    /// assert_eq!(take_while_inclusive_result, vec![1, 2, 3]);
    /// assert_eq!(take_while_result, vec![1, 2]);
    /// // both iterators have the same items remaining at this point---the 3
    /// // is lost from the `take_while` vec
    /// ```
    ///
    /// ```rust
    /// # use itertools::Itertools;
    /// #[derive(Debug, PartialEq)]
    /// struct NoCloneImpl(i32);
    ///
    /// let non_clonable_items: Vec<_> = vec![1, 2, 3, 4, 5]
    ///     .into_iter()
    ///     .map(NoCloneImpl)
    ///     .collect();
    /// let filtered: Vec<_> = non_clonable_items
    ///     .into_iter()
    ///     .take_while_inclusive(|n| n.0 % 3 != 0)
    ///     .collect();
    /// let expected: Vec<_> = vec![1, 2, 3].into_iter().map(NoCloneImpl).collect();
    /// assert_eq!(filtered, expected);
    fn take_while_inclusive<F>(&mut self, accept: F) -> TakeWhileInclusive<Self, F>
    where
        Self: Sized,
        F: FnMut(&Self::Item) -> bool,
    {
        take_while_inclusive::TakeWhileInclusive::new(self, accept)
    }

    /// Return an iterator adaptor that filters `Option<A>` iterator elements
    /// and produces `A`. Stops on the first `None` encountered.
    ///
    /// Iterator element type is `A`, the unwrapped element.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // List all hexadecimal digits
    /// itertools::assert_equal(
    ///     (0..).map(|i| std::char::from_digit(i, 16)).while_some(),
    ///     "0123456789abcdef".chars());
    ///
    /// ```
    fn while_some<A>(self) -> WhileSome<Self>
        where Self: Sized + Iterator<Item = Option<A>>
    {
        adaptors::while_some(self)
    }

    /// Return an iterator adaptor that iterates over the combinations of the
    /// elements from an iterator.
    ///
    /// Iterator element can be any homogeneous tuple of type `Self::Item` with
    /// size up to 12.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut v = Vec::new();
    /// for (a, b) in (1..5).tuple_combinations() {
    ///     v.push((a, b));
    /// }
    /// assert_eq!(v, vec![(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]);
    ///
    /// let mut it = (1..5).tuple_combinations();
    /// assert_eq!(Some((1, 2, 3)), it.next());
    /// assert_eq!(Some((1, 2, 4)), it.next());
    /// assert_eq!(Some((1, 3, 4)), it.next());
    /// assert_eq!(Some((2, 3, 4)), it.next());
    /// assert_eq!(None, it.next());
    ///
    /// // this requires a type hint
    /// let it = (1..5).tuple_combinations::<(_, _, _)>();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (1, 2, 4), (1, 3, 4), (2, 3, 4)]);
    ///
    /// // you can also specify the complete type
    /// use itertools::TupleCombinations;
    /// use std::ops::Range;
    ///
    /// let it: TupleCombinations<Range<u32>, (u32, u32, u32)> = (1..5).tuple_combinations();
    /// itertools::assert_equal(it, vec![(1, 2, 3), (1, 2, 4), (1, 3, 4), (2, 3, 4)]);
    /// ```
    fn tuple_combinations<T>(self) -> TupleCombinations<Self, T>
        where Self: Sized + Clone,
              Self::Item: Clone,
              T: adaptors::HasCombination<Self>,
    {
        adaptors::tuple_combinations(self)
    }

    /// Return an iterator adaptor that iterates over the `k`-length combinations of
    /// the elements from an iterator.
    ///
    /// Iterator element type is `Vec<Self::Item>`. The iterator produces a new Vec per iteration,
    /// and clones the iterator elements.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (1..5).combinations(3);
    /// itertools::assert_equal(it, vec![
    ///     vec![1, 2, 3],
    ///     vec![1, 2, 4],
    ///     vec![1, 3, 4],
    ///     vec![2, 3, 4],
    /// ]);
    /// ```
    ///
    /// Note: Combinations does not take into account the equality of the iterated values.
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = vec![1, 2, 2].into_iter().combinations(2);
    /// itertools::assert_equal(it, vec![
    ///     vec![1, 2], // Note: these are the same
    ///     vec![1, 2], // Note: these are the same
    ///     vec![2, 2],
    /// ]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn combinations(self, k: usize) -> Combinations<Self>
        where Self: Sized,
              Self::Item: Clone
    {
        combinations::combinations(self, k)
    }

    /// Return an iterator that iterates over the `k`-length combinations of
    /// the elements from an iterator, with replacement.
    ///
    /// Iterator element type is `Vec<Self::Item>`. The iterator produces a new Vec per iteration,
    /// and clones the iterator elements.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (1..4).combinations_with_replacement(2);
    /// itertools::assert_equal(it, vec![
    ///     vec![1, 1],
    ///     vec![1, 2],
    ///     vec![1, 3],
    ///     vec![2, 2],
    ///     vec![2, 3],
    ///     vec![3, 3],
    /// ]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn combinations_with_replacement(self, k: usize) -> CombinationsWithReplacement<Self>
    where
        Self: Sized,
        Self::Item: Clone,
    {
        combinations_with_replacement::combinations_with_replacement(self, k)
    }

    /// Return an iterator adaptor that iterates over all k-permutations of the
    /// elements from an iterator.
    ///
    /// Iterator element type is `Vec<Self::Item>` with length `k`. The iterator
    /// produces a new Vec per iteration, and clones the iterator elements.
    ///
    /// If `k` is greater than the length of the input iterator, the resultant
    /// iterator adaptor will be empty.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let perms = (5..8).permutations(2);
    /// itertools::assert_equal(perms, vec![
    ///     vec![5, 6],
    ///     vec![5, 7],
    ///     vec![6, 5],
    ///     vec![6, 7],
    ///     vec![7, 5],
    ///     vec![7, 6],
    /// ]);
    /// ```
    ///
    /// Note: Permutations does not take into account the equality of the iterated values.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = vec![2, 2].into_iter().permutations(2);
    /// itertools::assert_equal(it, vec![
    ///     vec![2, 2], // Note: these are the same
    ///     vec![2, 2], // Note: these are the same
    /// ]);
    /// ```
    ///
    /// Note: The source iterator is collected lazily, and will not be
    /// re-iterated if the permutations adaptor is completed and re-iterated.
    #[cfg(feature = "use_alloc")]
    fn permutations(self, k: usize) -> Permutations<Self>
        where Self: Sized,
              Self::Item: Clone
    {
        permutations::permutations(self, k)
    }

    /// Return an iterator that iterates through the powerset of the elements from an
    /// iterator.
    ///
    /// Iterator element type is `Vec<Self::Item>`. The iterator produces a new `Vec`
    /// per iteration, and clones the iterator elements.
    ///
    /// The powerset of a set contains all subsets including the empty set and the full
    /// input set. A powerset has length _2^n_ where _n_ is the length of the input
    /// set.
    ///
    /// Each `Vec` produced by this iterator represents a subset of the elements
    /// produced by the source iterator.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let sets = (1..4).powerset().collect::<Vec<_>>();
    /// itertools::assert_equal(sets, vec![
    ///     vec![],
    ///     vec![1],
    ///     vec![2],
    ///     vec![3],
    ///     vec![1, 2],
    ///     vec![1, 3],
    ///     vec![2, 3],
    ///     vec![1, 2, 3],
    /// ]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn powerset(self) -> Powerset<Self>
        where Self: Sized,
              Self::Item: Clone,
    {
        powerset::powerset(self)
    }

    /// Return an iterator adaptor that pads the sequence to a minimum length of
    /// `min` by filling missing elements using a closure `f`.
    ///
    /// Iterator element type is `Self::Item`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let it = (0..5).pad_using(10, |i| 2*i);
    /// itertools::assert_equal(it, vec![0, 1, 2, 3, 4, 10, 12, 14, 16, 18]);
    ///
    /// let it = (0..10).pad_using(5, |i| 2*i);
    /// itertools::assert_equal(it, vec![0, 1, 2, 3, 4, 5, 6, 7, 8, 9]);
    ///
    /// let it = (0..5).pad_using(10, |i| 2*i).rev();
    /// itertools::assert_equal(it, vec![18, 16, 14, 12, 10, 4, 3, 2, 1, 0]);
    /// ```
    fn pad_using<F>(self, min: usize, f: F) -> PadUsing<Self, F>
        where Self: Sized,
              F: FnMut(usize) -> Self::Item
    {
        pad_tail::pad_using(self, min, f)
    }

    /// Return an iterator adaptor that combines each element with a `Position` to
    /// ease special-case handling of the first or last elements.
    ///
    /// Iterator element type is
    /// [`(Position, Self::Item)`](Position)
    ///
    /// ```
    /// use itertools::{Itertools, Position};
    ///
    /// let it = (0..4).with_position();
    /// itertools::assert_equal(it,
    ///                         vec![(Position::First, 0),
    ///                              (Position::Middle, 1),
    ///                              (Position::Middle, 2),
    ///                              (Position::Last, 3)]);
    ///
    /// let it = (0..1).with_position();
    /// itertools::assert_equal(it, vec![(Position::Only, 0)]);
    /// ```
    fn with_position(self) -> WithPosition<Self>
        where Self: Sized,
    {
        with_position::with_position(self)
    }

    /// Return an iterator adaptor that yields the indices of all elements
    /// satisfying a predicate, counted from the start of the iterator.
    ///
    /// Equivalent to `iter.enumerate().filter(|(_, v)| predicate(v)).map(|(i, _)| i)`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1, 2, 3, 3, 4, 6, 7, 9];
    /// itertools::assert_equal(data.iter().positions(|v| v % 2 == 0), vec![1, 4, 5]);
    ///
    /// itertools::assert_equal(data.iter().positions(|v| v % 2 == 1).rev(), vec![7, 6, 3, 2, 0]);
    /// ```
    fn positions<P>(self, predicate: P) -> Positions<Self, P>
        where Self: Sized,
              P: FnMut(Self::Item) -> bool,
    {
        adaptors::positions(self, predicate)
    }

    /// Return an iterator adaptor that applies a mutating function
    /// to each element before yielding it.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let input = vec![vec![1], vec![3, 2, 1]];
    /// let it = input.into_iter().update(|mut v| v.push(0));
    /// itertools::assert_equal(it, vec![vec![1, 0], vec![3, 2, 1, 0]]);
    /// ```
    fn update<F>(self, updater: F) -> Update<Self, F>
        where Self: Sized,
              F: FnMut(&mut Self::Item),
    {
        adaptors::update(self, updater)
    }

    // non-adaptor methods
    /// Advances the iterator and returns the next items grouped in a tuple of
    /// a specific size (up to 12).
    ///
    /// If there are enough elements to be grouped in a tuple, then the tuple is
    /// returned inside `Some`, otherwise `None` is returned.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut iter = 1..5;
    ///
    /// assert_eq!(Some((1, 2)), iter.next_tuple());
    /// ```
    fn next_tuple<T>(&mut self) -> Option<T>
        where Self: Sized + Iterator<Item = T::Item>,
              T: traits::HomogeneousTuple
    {
        T::collect_from_iter_no_buf(self)
    }

    /// Collects all items from the iterator into a tuple of a specific size
    /// (up to 12).
    ///
    /// If the number of elements inside the iterator is **exactly** equal to
    /// the tuple size, then the tuple is returned inside `Some`, otherwise
    /// `None` is returned.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let iter = 1..3;
    ///
    /// if let Some((x, y)) = iter.collect_tuple() {
    ///     assert_eq!((x, y), (1, 2))
    /// } else {
    ///     panic!("Expected two elements")
    /// }
    /// ```
    fn collect_tuple<T>(mut self) -> Option<T>
        where Self: Sized + Iterator<Item = T::Item>,
              T: traits::HomogeneousTuple
    {
        match self.next_tuple() {
            elt @ Some(_) => match self.next() {
                Some(_) => None,
                None => elt,
            },
            _ => None
        }
    }


    /// Find the position and value of the first element satisfying a predicate.
    ///
    /// The iterator is not advanced past the first element found.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let text = "Hα";
    /// assert_eq!(text.chars().find_position(|ch| ch.is_lowercase()), Some((1, 'α')));
    /// ```
    fn find_position<P>(&mut self, mut pred: P) -> Option<(usize, Self::Item)>
        where P: FnMut(&Self::Item) -> bool
    {
        for (index, elt) in self.enumerate() {
            if pred(&elt) {
                return Some((index, elt));
            }
        }
        None
    }
    /// Find the value of the first element satisfying a predicate or return the last element, if any.
    ///
    /// The iterator is not advanced past the first element found.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let numbers = [1, 2, 3, 4];
    /// assert_eq!(numbers.iter().find_or_last(|&&x| x > 5), Some(&4));
    /// assert_eq!(numbers.iter().find_or_last(|&&x| x > 2), Some(&3));
    /// assert_eq!(std::iter::empty::<i32>().find_or_last(|&x| x > 5), None);
    /// ```
    fn find_or_last<P>(mut self, mut predicate: P) -> Option<Self::Item>
        where Self: Sized,
              P: FnMut(&Self::Item) -> bool,
    {
        let mut prev = None;
        self.find_map(|x| if predicate(&x) { Some(x) } else { prev = Some(x); None })
            .or(prev)
    }
    /// Find the value of the first element satisfying a predicate or return the first element, if any.
    ///
    /// The iterator is not advanced past the first element found.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let numbers = [1, 2, 3, 4];
    /// assert_eq!(numbers.iter().find_or_first(|&&x| x > 5), Some(&1));
    /// assert_eq!(numbers.iter().find_or_first(|&&x| x > 2), Some(&3));
    /// assert_eq!(std::iter::empty::<i32>().find_or_first(|&x| x > 5), None);
    /// ```
    fn find_or_first<P>(mut self, mut predicate: P) -> Option<Self::Item>
        where Self: Sized,
              P: FnMut(&Self::Item) -> bool,
    {
        let first = self.next()?;
        Some(if predicate(&first) {
            first
        } else {
            self.find(|x| predicate(x)).unwrap_or(first)
        })
    }
    /// Returns `true` if the given item is present in this iterator.
    ///
    /// This method is short-circuiting. If the given item is present in this
    /// iterator, this method will consume the iterator up-to-and-including
    /// the item. If the given item is not present in this iterator, the
    /// iterator will be exhausted.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// #[derive(PartialEq, Debug)]
    /// enum Enum { A, B, C, D, E, }
    ///
    /// let mut iter = vec![Enum::A, Enum::B, Enum::C, Enum::D].into_iter();
    ///
    /// // search `iter` for `B`
    /// assert_eq!(iter.contains(&Enum::B), true);
    /// // `B` was found, so the iterator now rests at the item after `B` (i.e, `C`).
    /// assert_eq!(iter.next(), Some(Enum::C));
    ///
    /// // search `iter` for `E`
    /// assert_eq!(iter.contains(&Enum::E), false);
    /// // `E` wasn't found, so `iter` is now exhausted
    /// assert_eq!(iter.next(), None);
    /// ```
    fn contains<Q>(&mut self, query: &Q) -> bool
    where
        Self: Sized,
        Self::Item: Borrow<Q>,
        Q: PartialEq,
    {
        self.any(|x| x.borrow() == query)
    }

    /// Check whether all elements compare equal.
    ///
    /// Empty iterators are considered to have equal elements:
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5];
    /// assert!(!data.iter().all_equal());
    /// assert!(data[0..3].iter().all_equal());
    /// assert!(data[3..5].iter().all_equal());
    /// assert!(data[5..8].iter().all_equal());
    ///
    /// let data : Option<usize> = None;
    /// assert!(data.into_iter().all_equal());
    /// ```
    fn all_equal(&mut self) -> bool
        where Self: Sized,
              Self::Item: PartialEq,
    {
        match self.next() {
            None => true,
            Some(a) => self.all(|x| a == x),
        }
    }

    /// If there are elements and they are all equal, return a single copy of that element.
    /// If there are no elements, return an Error containing None.
    /// If there are elements and they are not all equal, return a tuple containing the first
    /// two non-equal elements found.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5];
    /// assert_eq!(data.iter().all_equal_value(), Err(Some((&1, &2))));
    /// assert_eq!(data[0..3].iter().all_equal_value(), Ok(&1));
    /// assert_eq!(data[3..5].iter().all_equal_value(), Ok(&2));
    /// assert_eq!(data[5..8].iter().all_equal_value(), Ok(&3));
    ///
    /// let data : Option<usize> = None;
    /// assert_eq!(data.into_iter().all_equal_value(), Err(None));
    /// ```
    fn all_equal_value(&mut self) -> Result<Self::Item, Option<(Self::Item, Self::Item)>>
        where
            Self: Sized,
            Self::Item: PartialEq
    {
        let first = self.next().ok_or(None)?;
        let other = self.find(|x| x != &first);
        if let Some(other) = other {
            Err(Some((first, other)))
        } else {
            Ok(first)
        }
    }

    /// Check whether all elements are unique (non equal).
    ///
    /// Empty iterators are considered to have unique elements:
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![1, 2, 3, 4, 1, 5];
    /// assert!(!data.iter().all_unique());
    /// assert!(data[0..4].iter().all_unique());
    /// assert!(data[1..6].iter().all_unique());
    ///
    /// let data : Option<usize> = None;
    /// assert!(data.into_iter().all_unique());
    /// ```
    #[cfg(feature = "use_std")]
    fn all_unique(&mut self) -> bool
        where Self: Sized,
              Self::Item: Eq + Hash
    {
        let mut used = HashSet::new();
        self.all(move |elt| used.insert(elt))
    }

    /// Consume the first `n` elements from the iterator eagerly,
    /// and return the same iterator again.
    ///
    /// It works similarly to *.skip(* `n` *)* except it is eager and
    /// preserves the iterator type.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut iter = "αβγ".chars().dropping(2);
    /// itertools::assert_equal(iter, "γ".chars());
    /// ```
    ///
    /// *Fusing notes: if the iterator is exhausted by dropping,
    /// the result of calling `.next()` again depends on the iterator implementation.*
    fn dropping(mut self, n: usize) -> Self
        where Self: Sized
    {
        if n > 0 {
            self.nth(n - 1);
        }
        self
    }

    /// Consume the last `n` elements from the iterator eagerly,
    /// and return the same iterator again.
    ///
    /// This is only possible on double ended iterators. `n` may be
    /// larger than the number of elements.
    ///
    /// Note: This method is eager, dropping the back elements immediately and
    /// preserves the iterator type.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let init = vec![0, 3, 6, 9].into_iter().dropping_back(1);
    /// itertools::assert_equal(init, vec![0, 3, 6]);
    /// ```
    fn dropping_back(mut self, n: usize) -> Self
        where Self: Sized,
              Self: DoubleEndedIterator
    {
        if n > 0 {
            (&mut self).rev().nth(n - 1);
        }
        self
    }

    /// Run the closure `f` eagerly on each element of the iterator.
    ///
    /// Consumes the iterator until its end.
    ///
    /// ```
    /// use std::sync::mpsc::channel;
    /// use itertools::Itertools;
    ///
    /// let (tx, rx) = channel();
    ///
    /// // use .foreach() to apply a function to each value -- sending it
    /// (0..5).map(|x| x * 2 + 1).foreach(|x| { tx.send(x).unwrap(); } );
    ///
    /// drop(tx);
    ///
    /// itertools::assert_equal(rx.iter(), vec![1, 3, 5, 7, 9]);
    /// ```
    #[deprecated(note="Use .for_each() instead", since="0.8.0")]
    fn foreach<F>(self, f: F)
        where F: FnMut(Self::Item),
              Self: Sized,
    {
        self.for_each(f);
    }

    /// Combine all an iterator's elements into one element by using [`Extend`].
    ///
    /// This combinator will extend the first item with each of the rest of the
    /// items of the iterator. If the iterator is empty, the default value of
    /// `I::Item` is returned.
    ///
    /// ```rust
    /// use itertools::Itertools;
    ///
    /// let input = vec![vec![1], vec![2, 3], vec![4, 5, 6]];
    /// assert_eq!(input.into_iter().concat(),
    ///            vec![1, 2, 3, 4, 5, 6]);
    /// ```
    fn concat(self) -> Self::Item
        where Self: Sized,
              Self::Item: Extend<<<Self as Iterator>::Item as IntoIterator>::Item> + IntoIterator + Default
    {
        concat(self)
    }

    /// `.collect_vec()` is simply a type specialization of [`Iterator::collect`],
    /// for convenience.
    #[cfg(feature = "use_alloc")]
    fn collect_vec(self) -> Vec<Self::Item>
        where Self: Sized
    {
        self.collect()
    }

    /// `.try_collect()` is more convenient way of writing
    /// `.collect::<Result<_, _>>()`
    ///
    /// # Example
    ///
    /// ```
    /// use std::{fs, io};
    /// use itertools::Itertools;
    ///
    /// fn process_dir_entries(entries: &[fs::DirEntry]) {
    ///     // ...
    /// }
    ///
    /// fn do_stuff() -> std::io::Result<()> {
    ///     let entries: Vec<_> = fs::read_dir(".")?.try_collect()?;
    ///     process_dir_entries(&entries);
    ///
    ///     Ok(())
    /// }
    /// ```
    #[cfg(feature = "use_alloc")]
    fn try_collect<T, U, E>(self) -> Result<U, E>
    where
        Self: Sized + Iterator<Item = Result<T, E>>,
        Result<U, E>: FromIterator<Result<T, E>>,
    {
        self.collect()
    }

    /// Assign to each reference in `self` from the `from` iterator,
    /// stopping at the shortest of the two iterators.
    ///
    /// The `from` iterator is queried for its next element before the `self`
    /// iterator, and if either is exhausted the method is done.
    ///
    /// Return the number of elements written.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut xs = [0; 4];
    /// xs.iter_mut().set_from(1..);
    /// assert_eq!(xs, [1, 2, 3, 4]);
    /// ```
    #[inline]
    fn set_from<'a, A: 'a, J>(&mut self, from: J) -> usize
        where Self: Iterator<Item = &'a mut A>,
              J: IntoIterator<Item = A>
    {
        let mut count = 0;
        for elt in from {
            match self.next() {
                None => break,
                Some(ptr) => *ptr = elt,
            }
            count += 1;
        }
        count
    }

    /// Combine all iterator elements into one String, separated by `sep`.
    ///
    /// Use the `Display` implementation of each element.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// assert_eq!(["a", "b", "c"].iter().join(", "), "a, b, c");
    /// assert_eq!([1, 2, 3].iter().join(", "), "1, 2, 3");
    /// ```
    #[cfg(feature = "use_alloc")]
    fn join(&mut self, sep: &str) -> String
        where Self::Item: std::fmt::Display
    {
        match self.next() {
            None => String::new(),
            Some(first_elt) => {
                // estimate lower bound of capacity needed
                let (lower, _) = self.size_hint();
                let mut result = String::with_capacity(sep.len() * lower);
                write!(&mut result, "{}", first_elt).unwrap();
                self.for_each(|elt| {
                    result.push_str(sep);
                    write!(&mut result, "{}", elt).unwrap();
                });
                result
            }
        }
    }

    /// Format all iterator elements, separated by `sep`.
    ///
    /// All elements are formatted (any formatting trait)
    /// with `sep` inserted between each element.
    ///
    /// **Panics** if the formatter helper is formatted more than once.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = [1.1, 2.71828, -3.];
    /// assert_eq!(
    ///     format!("{:.2}", data.iter().format(", ")),
    ///            "1.10, 2.72, -3.00");
    /// ```
    fn format(self, sep: &str) -> Format<Self>
        where Self: Sized,
    {
        format::new_format_default(self, sep)
    }

    /// Format all iterator elements, separated by `sep`.
    ///
    /// This is a customizable version of [`.format()`](Itertools::format).
    ///
    /// The supplied closure `format` is called once per iterator element,
    /// with two arguments: the element and a callback that takes a
    /// `&Display` value, i.e. any reference to type that implements `Display`.
    ///
    /// Using `&format_args!(...)` is the most versatile way to apply custom
    /// element formatting. The callback can be called multiple times if needed.
    ///
    /// **Panics** if the formatter helper is formatted more than once.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = [1.1, 2.71828, -3.];
    /// let data_formatter = data.iter().format_with(", ", |elt, f| f(&format_args!("{:.2}", elt)));
    /// assert_eq!(format!("{}", data_formatter),
    ///            "1.10, 2.72, -3.00");
    ///
    /// // .format_with() is recursively composable
    /// let matrix = [[1., 2., 3.],
    ///               [4., 5., 6.]];
    /// let matrix_formatter = matrix.iter().format_with("\n", |row, f| {
    ///                                 f(&row.iter().format_with(", ", |elt, g| g(&elt)))
    ///                              });
    /// assert_eq!(format!("{}", matrix_formatter),
    ///            "1, 2, 3\n4, 5, 6");
    ///
    ///
    /// ```
    fn format_with<F>(self, sep: &str, format: F) -> FormatWith<Self, F>
        where Self: Sized,
              F: FnMut(Self::Item, &mut dyn FnMut(&dyn fmt::Display) -> fmt::Result) -> fmt::Result,
    {
        format::new_format(self, sep, format)
    }

    /// See [`.fold_ok()`](Itertools::fold_ok).
    #[deprecated(note="Use .fold_ok() instead", since="0.10.0")]
    fn fold_results<A, E, B, F>(&mut self, start: B, f: F) -> Result<B, E>
        where Self: Iterator<Item = Result<A, E>>,
              F: FnMut(B, A) -> B
    {
        self.fold_ok(start, f)
    }

    /// Fold `Result` values from an iterator.
    ///
    /// Only `Ok` values are folded. If no error is encountered, the folded
    /// value is returned inside `Ok`. Otherwise, the operation terminates
    /// and returns the first `Err` value it encounters. No iterator elements are
    /// consumed after the first error.
    ///
    /// The first accumulator value is the `start` parameter.
    /// Each iteration passes the accumulator value and the next value inside `Ok`
    /// to the fold function `f` and its return value becomes the new accumulator value.
    ///
    /// For example the sequence *Ok(1), Ok(2), Ok(3)* will result in a
    /// computation like this:
    ///
    /// ```ignore
    /// let mut accum = start;
    /// accum = f(accum, 1);
    /// accum = f(accum, 2);
    /// accum = f(accum, 3);
    /// ```
    ///
    /// With a `start` value of 0 and an addition as folding function,
    /// this effectively results in *((0 + 1) + 2) + 3*
    ///
    /// ```
    /// use std::ops::Add;
    /// use itertools::Itertools;
    ///
    /// let values = [1, 2, -2, -1, 2, 1];
    /// assert_eq!(
    ///     values.iter()
    ///           .map(Ok::<_, ()>)
    ///           .fold_ok(0, Add::add),
    ///     Ok(3)
    /// );
    /// assert!(
    ///     values.iter()
    ///           .map(|&x| if x >= 0 { Ok(x) } else { Err("Negative number") })
    ///           .fold_ok(0, Add::add)
    ///           .is_err()
    /// );
    /// ```
    fn fold_ok<A, E, B, F>(&mut self, mut start: B, mut f: F) -> Result<B, E>
        where Self: Iterator<Item = Result<A, E>>,
              F: FnMut(B, A) -> B
    {
        for elt in self {
            match elt {
                Ok(v) => start = f(start, v),
                Err(u) => return Err(u),
            }
        }
        Ok(start)
    }

    /// Fold `Option` values from an iterator.
    ///
    /// Only `Some` values are folded. If no `None` is encountered, the folded
    /// value is returned inside `Some`. Otherwise, the operation terminates
    /// and returns `None`. No iterator elements are consumed after the `None`.
    ///
    /// This is the `Option` equivalent to [`fold_ok`](Itertools::fold_ok).
    ///
    /// ```
    /// use std::ops::Add;
    /// use itertools::Itertools;
    ///
    /// let mut values = vec![Some(1), Some(2), Some(-2)].into_iter();
    /// assert_eq!(values.fold_options(5, Add::add), Some(5 + 1 + 2 - 2));
    ///
    /// let mut more_values = vec![Some(2), None, Some(0)].into_iter();
    /// assert!(more_values.fold_options(0, Add::add).is_none());
    /// assert_eq!(more_values.next().unwrap(), Some(0));
    /// ```
    fn fold_options<A, B, F>(&mut self, mut start: B, mut f: F) -> Option<B>
        where Self: Iterator<Item = Option<A>>,
              F: FnMut(B, A) -> B
    {
        for elt in self {
            match elt {
                Some(v) => start = f(start, v),
                None => return None,
            }
        }
        Some(start)
    }

    /// Accumulator of the elements in the iterator.
    ///
    /// Like `.fold()`, without a base case. If the iterator is
    /// empty, return `None`. With just one element, return it.
    /// Otherwise elements are accumulated in sequence using the closure `f`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// assert_eq!((0..10).fold1(|x, y| x + y).unwrap_or(0), 45);
    /// assert_eq!((0..0).fold1(|x, y| x * y), None);
    /// ```
    #[deprecated(since = "0.10.2", note = "Use `Iterator::reduce` instead")]
    fn fold1<F>(mut self, f: F) -> Option<Self::Item>
        where F: FnMut(Self::Item, Self::Item) -> Self::Item,
              Self: Sized,
    {
        self.next().map(move |x| self.fold(x, f))
    }

    /// Accumulate the elements in the iterator in a tree-like manner.
    ///
    /// You can think of it as, while there's more than one item, repeatedly
    /// combining adjacent items.  It does so in bottom-up-merge-sort order,
    /// however, so that it needs only logarithmic stack space.
    ///
    /// This produces a call tree like the following (where the calls under
    /// an item are done after reading that item):
    ///
    /// ```text
    /// 1 2 3 4 5 6 7
    /// │ │ │ │ │ │ │
    /// └─f └─f └─f │
    ///   │   │   │ │
    ///   └───f   └─f
    ///       │     │
    ///       └─────f
    /// ```
    ///
    /// Which, for non-associative functions, will typically produce a different
    /// result than the linear call tree used by [`Iterator::reduce`]:
    ///
    /// ```text
    /// 1 2 3 4 5 6 7
    /// │ │ │ │ │ │ │
    /// └─f─f─f─f─f─f
    /// ```
    ///
    /// If `f` is associative, prefer the normal [`Iterator::reduce`] instead.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // The same tree as above
    /// let num_strings = (1..8).map(|x| x.to_string());
    /// assert_eq!(num_strings.tree_fold1(|x, y| format!("f({}, {})", x, y)),
    ///     Some(String::from("f(f(f(1, 2), f(3, 4)), f(f(5, 6), 7))")));
    ///
    /// // Like fold1, an empty iterator produces None
    /// assert_eq!((0..0).tree_fold1(|x, y| x * y), None);
    ///
    /// // tree_fold1 matches fold1 for associative operations...
    /// assert_eq!((0..10).tree_fold1(|x, y| x + y),
    ///     (0..10).fold1(|x, y| x + y));
    /// // ...but not for non-associative ones
    /// assert_ne!((0..10).tree_fold1(|x, y| x - y),
    ///     (0..10).fold1(|x, y| x - y));
    /// ```
    fn tree_fold1<F>(mut self, mut f: F) -> Option<Self::Item>
        where F: FnMut(Self::Item, Self::Item) -> Self::Item,
              Self: Sized,
    {
        type State<T> = Result<T, Option<T>>;

        fn inner0<T, II, FF>(it: &mut II, f: &mut FF) -> State<T>
            where
                II: Iterator<Item = T>,
                FF: FnMut(T, T) -> T
        {
            // This function could be replaced with `it.next().ok_or(None)`,
            // but half the useful tree_fold1 work is combining adjacent items,
            // so put that in a form that LLVM is more likely to optimize well.

            let a =
                if let Some(v) = it.next() { v }
                else { return Err(None) };
            let b =
                if let Some(v) = it.next() { v }
                else { return Err(Some(a)) };
            Ok(f(a, b))
        }

        fn inner<T, II, FF>(stop: usize, it: &mut II, f: &mut FF) -> State<T>
            where
                II: Iterator<Item = T>,
                FF: FnMut(T, T) -> T
        {
            let mut x = inner0(it, f)?;
            for height in 0..stop {
                // Try to get another tree the same size with which to combine it,
                // creating a new tree that's twice as big for next time around.
                let next =
                    if height == 0 {
                        inner0(it, f)
                    } else {
                        inner(height, it, f)
                    };
                match next {
                    Ok(y) => x = f(x, y),

                    // If we ran out of items, combine whatever we did manage
                    // to get.  It's better combined with the current value
                    // than something in a parent frame, because the tree in
                    // the parent is always as least as big as this one.
                    Err(None) => return Err(Some(x)),
                    Err(Some(y)) => return Err(Some(f(x, y))),
                }
            }
            Ok(x)
        }

        match inner(usize::max_value(), &mut self, &mut f) {
            Err(x) => x,
            _ => unreachable!(),
        }
    }

    /// An iterator method that applies a function, producing a single, final value.
    ///
    /// `fold_while()` is basically equivalent to [`Iterator::fold`] but with additional support for
    /// early exit via short-circuiting.
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::FoldWhile::{Continue, Done};
    ///
    /// let numbers = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];
    ///
    /// let mut result = 0;
    ///
    /// // for loop:
    /// for i in &numbers {
    ///     if *i > 5 {
    ///         break;
    ///     }
    ///     result = result + i;
    /// }
    ///
    /// // fold:
    /// let result2 = numbers.iter().fold(0, |acc, x| {
    ///     if *x > 5 { acc } else { acc + x }
    /// });
    ///
    /// // fold_while:
    /// let result3 = numbers.iter().fold_while(0, |acc, x| {
    ///     if *x > 5 { Done(acc) } else { Continue(acc + x) }
    /// }).into_inner();
    ///
    /// // they're the same
    /// assert_eq!(result, result2);
    /// assert_eq!(result2, result3);
    /// ```
    ///
    /// The big difference between the computations of `result2` and `result3` is that while
    /// `fold()` called the provided closure for every item of the callee iterator,
    /// `fold_while()` actually stopped iterating as soon as it encountered `Fold::Done(_)`.
    fn fold_while<B, F>(&mut self, init: B, mut f: F) -> FoldWhile<B>
        where Self: Sized,
              F: FnMut(B, Self::Item) -> FoldWhile<B>
    {
        use Result::{
            Ok as Continue,
            Err as Break,
        };

        let result = self.try_fold(init, #[inline(always)] |acc, v|
            match f(acc, v) {
              FoldWhile::Continue(acc) => Continue(acc),
              FoldWhile::Done(acc) => Break(acc),
            }
        );

        match result {
            Continue(acc) => FoldWhile::Continue(acc),
            Break(acc) => FoldWhile::Done(acc),
        }
    }

    /// Iterate over the entire iterator and add all the elements.
    ///
    /// An empty iterator returns `None`, otherwise `Some(sum)`.
    ///
    /// # Panics
    ///
    /// When calling `sum1()` and a primitive integer type is being returned, this
    /// method will panic if the computation overflows and debug assertions are
    /// enabled.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let empty_sum = (1..1).sum1::<i32>();
    /// assert_eq!(empty_sum, None);
    ///
    /// let nonempty_sum = (1..11).sum1::<i32>();
    /// assert_eq!(nonempty_sum, Some(55));
    /// ```
    fn sum1<S>(mut self) -> Option<S>
        where Self: Sized,
              S: std::iter::Sum<Self::Item>,
    {
        self.next()
            .map(|first| once(first).chain(self).sum())
    }

    /// Iterate over the entire iterator and multiply all the elements.
    ///
    /// An empty iterator returns `None`, otherwise `Some(product)`.
    ///
    /// # Panics
    ///
    /// When calling `product1()` and a primitive integer type is being returned,
    /// method will panic if the computation overflows and debug assertions are
    /// enabled.
    ///
    /// # Examples
    /// ```
    /// use itertools::Itertools;
    ///
    /// let empty_product = (1..1).product1::<i32>();
    /// assert_eq!(empty_product, None);
    ///
    /// let nonempty_product = (1..11).product1::<i32>();
    /// assert_eq!(nonempty_product, Some(3628800));
    /// ```
    fn product1<P>(mut self) -> Option<P>
        where Self: Sized,
              P: std::iter::Product<Self::Item>,
    {
        self.next()
            .map(|first| once(first).chain(self).product())
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_unstable`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is unstable (i.e., may reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort the letters of the text in ascending order
    /// let text = "bdacfe";
    /// itertools::assert_equal(text.chars().sorted_unstable(),
    ///                         "abcdef".chars());
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_unstable(self) -> VecIntoIter<Self::Item>
        where Self: Sized,
              Self::Item: Ord
    {
        // Use .sort_unstable() directly since it is not quite identical with
        // .sort_by(Ord::cmp)
        let mut v = Vec::from_iter(self);
        v.sort_unstable();
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_unstable_by`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is unstable (i.e., may reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort people in descending order by age
    /// let people = vec![("Jane", 20), ("John", 18), ("Jill", 30), ("Jack", 27)];
    ///
    /// let oldest_people_first = people
    ///     .into_iter()
    ///     .sorted_unstable_by(|a, b| Ord::cmp(&b.1, &a.1))
    ///     .map(|(person, _age)| person);
    ///
    /// itertools::assert_equal(oldest_people_first,
    ///                         vec!["Jill", "Jack", "Jane", "John"]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_unstable_by<F>(self, cmp: F) -> VecIntoIter<Self::Item>
        where Self: Sized,
              F: FnMut(&Self::Item, &Self::Item) -> Ordering,
    {
        let mut v = Vec::from_iter(self);
        v.sort_unstable_by(cmp);
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_unstable_by_key`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is unstable (i.e., may reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort people in descending order by age
    /// let people = vec![("Jane", 20), ("John", 18), ("Jill", 30), ("Jack", 27)];
    ///
    /// let oldest_people_first = people
    ///     .into_iter()
    ///     .sorted_unstable_by_key(|x| -x.1)
    ///     .map(|(person, _age)| person);
    ///
    /// itertools::assert_equal(oldest_people_first,
    ///                         vec!["Jill", "Jack", "Jane", "John"]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_unstable_by_key<K, F>(self, f: F) -> VecIntoIter<Self::Item>
        where Self: Sized,
              K: Ord,
              F: FnMut(&Self::Item) -> K,
    {
        let mut v = Vec::from_iter(self);
        v.sort_unstable_by_key(f);
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is stable (i.e., does not reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort the letters of the text in ascending order
    /// let text = "bdacfe";
    /// itertools::assert_equal(text.chars().sorted(),
    ///                         "abcdef".chars());
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted(self) -> VecIntoIter<Self::Item>
        where Self: Sized,
              Self::Item: Ord
    {
        // Use .sort() directly since it is not quite identical with
        // .sort_by(Ord::cmp)
        let mut v = Vec::from_iter(self);
        v.sort();
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_by`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is stable (i.e., does not reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort people in descending order by age
    /// let people = vec![("Jane", 20), ("John", 18), ("Jill", 30), ("Jack", 30)];
    ///
    /// let oldest_people_first = people
    ///     .into_iter()
    ///     .sorted_by(|a, b| Ord::cmp(&b.1, &a.1))
    ///     .map(|(person, _age)| person);
    ///
    /// itertools::assert_equal(oldest_people_first,
    ///                         vec!["Jill", "Jack", "Jane", "John"]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_by<F>(self, cmp: F) -> VecIntoIter<Self::Item>
        where Self: Sized,
              F: FnMut(&Self::Item, &Self::Item) -> Ordering,
    {
        let mut v = Vec::from_iter(self);
        v.sort_by(cmp);
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_by_key`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is stable (i.e., does not reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort people in descending order by age
    /// let people = vec![("Jane", 20), ("John", 18), ("Jill", 30), ("Jack", 30)];
    ///
    /// let oldest_people_first = people
    ///     .into_iter()
    ///     .sorted_by_key(|x| -x.1)
    ///     .map(|(person, _age)| person);
    ///
    /// itertools::assert_equal(oldest_people_first,
    ///                         vec!["Jill", "Jack", "Jane", "John"]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_by_key<K, F>(self, f: F) -> VecIntoIter<Self::Item>
        where Self: Sized,
              K: Ord,
              F: FnMut(&Self::Item) -> K,
    {
        let mut v = Vec::from_iter(self);
        v.sort_by_key(f);
        v.into_iter()
    }

    /// Sort all iterator elements into a new iterator in ascending order. The key function is
    /// called exactly once per key.
    ///
    /// **Note:** This consumes the entire iterator, uses the
    /// [`slice::sort_by_cached_key`] method and returns the result as a new
    /// iterator that owns its elements.
    /// 
    /// This sort is stable (i.e., does not reorder equal elements).
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // sort people in descending order by age
    /// let people = vec![("Jane", 20), ("John", 18), ("Jill", 30), ("Jack", 30)];
    ///
    /// let oldest_people_first = people
    ///     .into_iter()
    ///     .sorted_by_cached_key(|x| -x.1)
    ///     .map(|(person, _age)| person);
    ///
    /// itertools::assert_equal(oldest_people_first,
    ///                         vec!["Jill", "Jack", "Jane", "John"]);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn sorted_by_cached_key<K, F>(self, f: F) -> VecIntoIter<Self::Item>
    where
        Self: Sized,
        K: Ord,
        F: FnMut(&Self::Item) -> K,
    {
        let mut v = Vec::from_iter(self);
        v.sort_by_cached_key(f);
        v.into_iter()
    }

    /// Sort the k smallest elements into a new iterator, in ascending order.
    ///
    /// **Note:** This consumes the entire iterator, and returns the result
    /// as a new iterator that owns its elements.  If the input contains
    /// less than k elements, the result is equivalent to `self.sorted()`.
    ///
    /// This is guaranteed to use `k * sizeof(Self::Item) + O(1)` memory
    /// and `O(n log k)` time, with `n` the number of elements in the input.
    ///
    /// The sorted iterator, if directly collected to a `Vec`, is converted
    /// without any extra copying or allocation cost.
    ///
    /// **Note:** This is functionally-equivalent to `self.sorted().take(k)`
    /// but much more efficient.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// // A random permutation of 0..15
    /// let numbers = vec![6, 9, 1, 14, 0, 4, 8, 7, 11, 2, 10, 3, 13, 12, 5];
    ///
    /// let five_smallest = numbers
    ///     .into_iter()
    ///     .k_smallest(5);
    ///
    /// itertools::assert_equal(five_smallest, 0..5);
    /// ```
    #[cfg(feature = "use_alloc")]
    fn k_smallest(self, k: usize) -> VecIntoIter<Self::Item>
        where Self: Sized,
              Self::Item: Ord
    {
        crate::k_smallest::k_smallest(self, k)
            .into_sorted_vec()
            .into_iter()
    }

    /// Collect all iterator elements into one of two
    /// partitions. Unlike [`Iterator::partition`], each partition may
    /// have a distinct type.
    ///
    /// ```
    /// use itertools::{Itertools, Either};
    ///
    /// let successes_and_failures = vec![Ok(1), Err(false), Err(true), Ok(2)];
    ///
    /// let (successes, failures): (Vec<_>, Vec<_>) = successes_and_failures
    ///     .into_iter()
    ///     .partition_map(|r| {
    ///         match r {
    ///             Ok(v) => Either::Left(v),
    ///             Err(v) => Either::Right(v),
    ///         }
    ///     });
    ///
    /// assert_eq!(successes, [1, 2]);
    /// assert_eq!(failures, [false, true]);
    /// ```
    fn partition_map<A, B, F, L, R>(self, mut predicate: F) -> (A, B)
        where Self: Sized,
              F: FnMut(Self::Item) -> Either<L, R>,
              A: Default + Extend<L>,
              B: Default + Extend<R>,
    {
        let mut left = A::default();
        let mut right = B::default();

        self.for_each(|val| match predicate(val) {
            Either::Left(v) => left.extend(Some(v)),
            Either::Right(v) => right.extend(Some(v)),
        });

        (left, right)
    }

    /// Partition a sequence of `Result`s into one list of all the `Ok` elements
    /// and another list of all the `Err` elements.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let successes_and_failures = vec![Ok(1), Err(false), Err(true), Ok(2)];
    ///
    /// let (successes, failures): (Vec<_>, Vec<_>) = successes_and_failures
    ///     .into_iter()
    ///     .partition_result();
    ///
    /// assert_eq!(successes, [1, 2]);
    /// assert_eq!(failures, [false, true]);
    /// ```
    fn partition_result<A, B, T, E>(self) -> (A, B)
        where
            Self: Iterator<Item = Result<T, E>> + Sized,
            A: Default + Extend<T>,
            B: Default + Extend<E>,
    {
        self.partition_map(|r| match r {
            Ok(v) => Either::Left(v),
            Err(v) => Either::Right(v),
        })
    }

    /// Return a `HashMap` of keys mapped to `Vec`s of values. Keys and values
    /// are taken from `(Key, Value)` tuple pairs yielded by the input iterator.
    ///
    /// Essentially a shorthand for `.into_grouping_map().collect::<Vec<_>>()`.
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let data = vec![(0, 10), (2, 12), (3, 13), (0, 20), (3, 33), (2, 42)];
    /// let lookup = data.into_iter().into_group_map();
    ///
    /// assert_eq!(lookup[&0], vec![10, 20]);
    /// assert_eq!(lookup.get(&1), None);
    /// assert_eq!(lookup[&2], vec![12, 42]);
    /// assert_eq!(lookup[&3], vec![13, 33]);
    /// ```
    #[cfg(feature = "use_std")]
    fn into_group_map<K, V>(self) -> HashMap<K, Vec<V>>
        where Self: Iterator<Item=(K, V)> + Sized,
              K: Hash + Eq,
    {
        group_map::into_group_map(self)
    }

    /// Return an `Iterator` on a `HashMap`. Keys mapped to `Vec`s of values. The key is specified
    /// in the closure.
    ///
    /// Essentially a shorthand for `.into_grouping_map_by(f).collect::<Vec<_>>()`.
    ///
    /// ```
    /// use itertools::Itertools;
    /// use std::collections::HashMap;
    ///
    /// let data = vec![(0, 10), (2, 12), (3, 13), (0, 20), (3, 33), (2, 42)];
    /// let lookup: HashMap<u32,Vec<(u32, u32)>> =
    ///     data.clone().into_iter().into_group_map_by(|a| a.0);
    ///
    /// assert_eq!(lookup[&0], vec![(0,10),(0,20)]);
    /// assert_eq!(lookup.get(&1), None);
    /// assert_eq!(lookup[&2], vec![(2,12), (2,42)]);
    /// assert_eq!(lookup[&3], vec![(3,13), (3,33)]);
    ///
    /// assert_eq!(
    ///     data.into_iter()
    ///         .into_group_map_by(|x| x.0)
    ///         .into_iter()
    ///         .map(|(key, values)| (key, values.into_iter().fold(0,|acc, (_,v)| acc + v )))
    ///         .collect::<HashMap<u32,u32>>()[&0],
    ///     30,
    /// );
    /// ```
    #[cfg(feature = "use_std")]
    fn into_group_map_by<K, V, F>(self, f: F) -> HashMap<K, Vec<V>>
        where
            Self: Iterator<Item=V> + Sized,
            K: Hash + Eq,
            F: Fn(&V) -> K,
    {
        group_map::into_group_map_by(self, f)
    }

    /// Constructs a `GroupingMap` to be used later with one of the efficient
    /// group-and-fold operations it allows to perform.
    ///
    /// The input iterator must yield item in the form of `(K, V)` where the
    /// value of type `K` will be used as key to identify the groups and the
    /// value of type `V` as value for the folding operation.
    ///
    /// See [`GroupingMap`] for more informations
    /// on what operations are available.
    #[cfg(feature = "use_std")]
    fn into_grouping_map<K, V>(self) -> GroupingMap<Self>
        where Self: Iterator<Item=(K, V)> + Sized,
              K: Hash + Eq,
    {
        grouping_map::new(self)
    }

    /// Constructs a `GroupingMap` to be used later with one of the efficient
    /// group-and-fold operations it allows to perform.
    ///
    /// The values from this iterator will be used as values for the folding operation
    /// while the keys will be obtained from the values by calling `key_mapper`.
    ///
    /// See [`GroupingMap`] for more informations
    /// on what operations are available.
    #[cfg(feature = "use_std")]
    fn into_grouping_map_by<K, V, F>(self, key_mapper: F) -> GroupingMapBy<Self, F>
        where Self: Iterator<Item=V> + Sized,
              K: Hash + Eq,
              F: FnMut(&V) -> K
    {
        grouping_map::new(grouping_map::MapForGrouping::new(self, key_mapper))
    }

    /// Return all minimum elements of an iterator.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().min_set(), Vec::<&i32>::new());
    ///
    /// let a = [1];
    /// assert_eq!(a.iter().min_set(), vec![&1]);
    ///
    /// let a = [1, 2, 3, 4, 5];
    /// assert_eq!(a.iter().min_set(), vec![&1]);
    ///
    /// let a = [1, 1, 1, 1];
    /// assert_eq!(a.iter().min_set(), vec![&1, &1, &1, &1]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn min_set(self) -> Vec<Self::Item>
        where Self: Sized, Self::Item: Ord
    {
        extrema_set::min_set_impl(self, |_| (), |x, y, _, _| x.cmp(y))
    }

    /// Return all minimum elements of an iterator, as determined by
    /// the specified function.
    ///
    /// # Examples
    ///
    /// ```
    /// # use std::cmp::Ordering;
    /// use itertools::Itertools;
    ///
    /// let a: [(i32, i32); 0] = [];
    /// assert_eq!(a.iter().min_set_by(|_, _| Ordering::Equal), Vec::<&(i32, i32)>::new());
    ///
    /// let a = [(1, 2)];
    /// assert_eq!(a.iter().min_set_by(|&&(k1,_), &&(k2, _)| k1.cmp(&k2)), vec![&(1, 2)]);
    ///
    /// let a = [(1, 2), (2, 2), (3, 9), (4, 8), (5, 9)];
    /// assert_eq!(a.iter().min_set_by(|&&(_,k1), &&(_,k2)| k1.cmp(&k2)), vec![&(1, 2), &(2, 2)]);
    ///
    /// let a = [(1, 2), (1, 3), (1, 4), (1, 5)];
    /// assert_eq!(a.iter().min_set_by(|&&(k1,_), &&(k2, _)| k1.cmp(&k2)), vec![&(1, 2), &(1, 3), &(1, 4), &(1, 5)]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn min_set_by<F>(self, mut compare: F) -> Vec<Self::Item>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        extrema_set::min_set_impl(
            self,
            |_| (),
            |x, y, _, _| compare(x, y)
        )
    }

    /// Return all minimum elements of an iterator, as determined by
    /// the specified function.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [(i32, i32); 0] = [];
    /// assert_eq!(a.iter().min_set_by_key(|_| ()), Vec::<&(i32, i32)>::new());
    ///
    /// let a = [(1, 2)];
    /// assert_eq!(a.iter().min_set_by_key(|&&(k,_)| k), vec![&(1, 2)]);
    ///
    /// let a = [(1, 2), (2, 2), (3, 9), (4, 8), (5, 9)];
    /// assert_eq!(a.iter().min_set_by_key(|&&(_, k)| k), vec![&(1, 2), &(2, 2)]);
    ///
    /// let a = [(1, 2), (1, 3), (1, 4), (1, 5)];
    /// assert_eq!(a.iter().min_set_by_key(|&&(k, _)| k), vec![&(1, 2), &(1, 3), &(1, 4), &(1, 5)]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn min_set_by_key<K, F>(self, key: F) -> Vec<Self::Item>
        where Self: Sized, K: Ord, F: FnMut(&Self::Item) -> K
    {
        extrema_set::min_set_impl(self, key, |_, _, kx, ky| kx.cmp(ky))
    }

    /// Return all maximum elements of an iterator.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().max_set(), Vec::<&i32>::new());
    ///
    /// let a = [1];
    /// assert_eq!(a.iter().max_set(), vec![&1]);
    ///
    /// let a = [1, 2, 3, 4, 5];
    /// assert_eq!(a.iter().max_set(), vec![&5]);
    ///
    /// let a = [1, 1, 1, 1];
    /// assert_eq!(a.iter().max_set(), vec![&1, &1, &1, &1]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn max_set(self) -> Vec<Self::Item>
        where Self: Sized, Self::Item: Ord
    {
        extrema_set::max_set_impl(self, |_| (), |x, y, _, _| x.cmp(y))
    }

    /// Return all maximum elements of an iterator, as determined by
    /// the specified function.
    ///
    /// # Examples
    ///
    /// ```
    /// # use std::cmp::Ordering;
    /// use itertools::Itertools;
    ///
    /// let a: [(i32, i32); 0] = [];
    /// assert_eq!(a.iter().max_set_by(|_, _| Ordering::Equal), Vec::<&(i32, i32)>::new());
    ///
    /// let a = [(1, 2)];
    /// assert_eq!(a.iter().max_set_by(|&&(k1,_), &&(k2, _)| k1.cmp(&k2)), vec![&(1, 2)]);
    ///
    /// let a = [(1, 2), (2, 2), (3, 9), (4, 8), (5, 9)];
    /// assert_eq!(a.iter().max_set_by(|&&(_,k1), &&(_,k2)| k1.cmp(&k2)), vec![&(3, 9), &(5, 9)]);
    ///
    /// let a = [(1, 2), (1, 3), (1, 4), (1, 5)];
    /// assert_eq!(a.iter().max_set_by(|&&(k1,_), &&(k2, _)| k1.cmp(&k2)), vec![&(1, 2), &(1, 3), &(1, 4), &(1, 5)]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn max_set_by<F>(self, mut compare: F) -> Vec<Self::Item>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        extrema_set::max_set_impl(
            self,
            |_| (),
            |x, y, _, _| compare(x, y)
        )
    }

    /// Return all maximum elements of an iterator, as determined by
    /// the specified function.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [(i32, i32); 0] = [];
    /// assert_eq!(a.iter().max_set_by_key(|_| ()), Vec::<&(i32, i32)>::new());
    ///
    /// let a = [(1, 2)];
    /// assert_eq!(a.iter().max_set_by_key(|&&(k,_)| k), vec![&(1, 2)]);
    ///
    /// let a = [(1, 2), (2, 2), (3, 9), (4, 8), (5, 9)];
    /// assert_eq!(a.iter().max_set_by_key(|&&(_, k)| k), vec![&(3, 9), &(5, 9)]);
    ///
    /// let a = [(1, 2), (1, 3), (1, 4), (1, 5)];
    /// assert_eq!(a.iter().max_set_by_key(|&&(k, _)| k), vec![&(1, 2), &(1, 3), &(1, 4), &(1, 5)]);
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    #[cfg(feature = "use_std")]
    fn max_set_by_key<K, F>(self, key: F) -> Vec<Self::Item>
        where Self: Sized, K: Ord, F: FnMut(&Self::Item) -> K
    {
        extrema_set::max_set_impl(self, key, |_, _, kx, ky| kx.cmp(ky))
    }

    /// Return the minimum and maximum elements in the iterator.
    ///
    /// The return type `MinMaxResult` is an enum of three variants:
    ///
    /// - `NoElements` if the iterator is empty.
    /// - `OneElement(x)` if the iterator has exactly one element.
    /// - `MinMax(x, y)` is returned otherwise, where `x <= y`. Two
    ///    values are equal if and only if there is more than one
    ///    element in the iterator and all elements are equal.
    ///
    /// On an iterator of length `n`, `minmax` does `1.5 * n` comparisons,
    /// and so is faster than calling `min` and `max` separately which does
    /// `2 * n` comparisons.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::MinMaxResult::{NoElements, OneElement, MinMax};
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().minmax(), NoElements);
    ///
    /// let a = [1];
    /// assert_eq!(a.iter().minmax(), OneElement(&1));
    ///
    /// let a = [1, 2, 3, 4, 5];
    /// assert_eq!(a.iter().minmax(), MinMax(&1, &5));
    ///
    /// let a = [1, 1, 1, 1];
    /// assert_eq!(a.iter().minmax(), MinMax(&1, &1));
    /// ```
    ///
    /// The elements can be floats but no particular result is guaranteed
    /// if an element is NaN.
    fn minmax(self) -> MinMaxResult<Self::Item>
        where Self: Sized, Self::Item: PartialOrd
    {
        minmax::minmax_impl(self, |_| (), |x, y, _, _| x < y)
    }

    /// Return the minimum and maximum element of an iterator, as determined by
    /// the specified function.
    ///
    /// The return value is a variant of [`MinMaxResult`] like for [`.minmax()`](Itertools::minmax).
    ///
    /// For the minimum, the first minimal element is returned.  For the maximum,
    /// the last maximal element wins.  This matches the behavior of the standard
    /// [`Iterator::min`] and [`Iterator::max`] methods.
    ///
    /// The keys can be floats but no particular result is guaranteed
    /// if a key is NaN.
    fn minmax_by_key<K, F>(self, key: F) -> MinMaxResult<Self::Item>
        where Self: Sized, K: PartialOrd, F: FnMut(&Self::Item) -> K
    {
        minmax::minmax_impl(self, key, |_, _, xk, yk| xk < yk)
    }

    /// Return the minimum and maximum element of an iterator, as determined by
    /// the specified comparison function.
    ///
    /// The return value is a variant of [`MinMaxResult`] like for [`.minmax()`](Itertools::minmax).
    ///
    /// For the minimum, the first minimal element is returned.  For the maximum,
    /// the last maximal element wins.  This matches the behavior of the standard
    /// [`Iterator::min`] and [`Iterator::max`] methods.
    fn minmax_by<F>(self, mut compare: F) -> MinMaxResult<Self::Item>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        minmax::minmax_impl(
            self,
            |_| (),
            |x, y, _, _| Ordering::Less == compare(x, y)
        )
    }

    /// Return the position of the maximum element in the iterator.
    ///
    /// If several elements are equally maximum, the position of the
    /// last of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_max(), None);
    ///
    /// let a = [-3, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_max(), Some(3));
    ///
    /// let a = [1, 1, -1, -1];
    /// assert_eq!(a.iter().position_max(), Some(1));
    /// ```
    fn position_max(self) -> Option<usize>
        where Self: Sized, Self::Item: Ord
    {
        self.enumerate()
            .max_by(|x, y| Ord::cmp(&x.1, &y.1))
            .map(|x| x.0)
    }

    /// Return the position of the maximum element in the iterator, as
    /// determined by the specified function.
    ///
    /// If several elements are equally maximum, the position of the
    /// last of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_max_by_key(|x| x.abs()), None);
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_max_by_key(|x| x.abs()), Some(4));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_max_by_key(|x| x.abs()), Some(3));
    /// ```
    fn position_max_by_key<K, F>(self, mut key: F) -> Option<usize>
        where Self: Sized, K: Ord, F: FnMut(&Self::Item) -> K
    {
        self.enumerate()
            .max_by(|x, y| Ord::cmp(&key(&x.1), &key(&y.1)))
            .map(|x| x.0)
    }

    /// Return the position of the maximum element in the iterator, as
    /// determined by the specified comparison function.
    ///
    /// If several elements are equally maximum, the position of the
    /// last of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_max_by(|x, y| x.cmp(y)), None);
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_max_by(|x, y| x.cmp(y)), Some(3));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_max_by(|x, y| x.cmp(y)), Some(1));
    /// ```
    fn position_max_by<F>(self, mut compare: F) -> Option<usize>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        self.enumerate()
            .max_by(|x, y| compare(&x.1, &y.1))
            .map(|x| x.0)
    }

    /// Return the position of the minimum element in the iterator.
    ///
    /// If several elements are equally minimum, the position of the
    /// first of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_min(), None);
    ///
    /// let a = [-3, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_min(), Some(4));
    ///
    /// let a = [1, 1, -1, -1];
    /// assert_eq!(a.iter().position_min(), Some(2));
    /// ```
    fn position_min(self) -> Option<usize>
        where Self: Sized, Self::Item: Ord
    {
        self.enumerate()
            .min_by(|x, y| Ord::cmp(&x.1, &y.1))
            .map(|x| x.0)
    }

    /// Return the position of the minimum element in the iterator, as
    /// determined by the specified function.
    ///
    /// If several elements are equally minimum, the position of the
    /// first of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_min_by_key(|x| x.abs()), None);
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_min_by_key(|x| x.abs()), Some(1));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_min_by_key(|x| x.abs()), Some(0));
    /// ```
    fn position_min_by_key<K, F>(self, mut key: F) -> Option<usize>
        where Self: Sized, K: Ord, F: FnMut(&Self::Item) -> K
    {
        self.enumerate()
            .min_by(|x, y| Ord::cmp(&key(&x.1), &key(&y.1)))
            .map(|x| x.0)
    }

    /// Return the position of the minimum element in the iterator, as
    /// determined by the specified comparison function.
    ///
    /// If several elements are equally minimum, the position of the
    /// first of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_min_by(|x, y| x.cmp(y)), None);
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_min_by(|x, y| x.cmp(y)), Some(4));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_min_by(|x, y| x.cmp(y)), Some(2));
    /// ```
    fn position_min_by<F>(self, mut compare: F) -> Option<usize>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        self.enumerate()
            .min_by(|x, y| compare(&x.1, &y.1))
            .map(|x| x.0)
    }

    /// Return the positions of the minimum and maximum elements in
    /// the iterator.
    ///
    /// The return type [`MinMaxResult`] is an enum of three variants:
    ///
    /// - `NoElements` if the iterator is empty.
    /// - `OneElement(xpos)` if the iterator has exactly one element.
    /// - `MinMax(xpos, ypos)` is returned otherwise, where the
    ///    element at `xpos` ≤ the element at `ypos`. While the
    ///    referenced elements themselves may be equal, `xpos` cannot
    ///    be equal to `ypos`.
    ///
    /// On an iterator of length `n`, `position_minmax` does `1.5 * n`
    /// comparisons, and so is faster than calling `position_min` and
    /// `position_max` separately which does `2 * n` comparisons.
    ///
    /// For the minimum, if several elements are equally minimum, the
    /// position of the first of them is returned. For the maximum, if
    /// several elements are equally maximum, the position of the last
    /// of them is returned.
    ///
    /// The elements can be floats but no particular result is
    /// guaranteed if an element is NaN.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::MinMaxResult::{NoElements, OneElement, MinMax};
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_minmax(), NoElements);
    ///
    /// let a = [10];
    /// assert_eq!(a.iter().position_minmax(), OneElement(0));
    ///
    /// let a = [-3, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_minmax(), MinMax(4, 3));
    ///
    /// let a = [1, 1, -1, -1];
    /// assert_eq!(a.iter().position_minmax(), MinMax(2, 1));
    /// ```
    fn position_minmax(self) -> MinMaxResult<usize>
        where Self: Sized, Self::Item: PartialOrd
    {
        use crate::MinMaxResult::{NoElements, OneElement, MinMax};
        match minmax::minmax_impl(self.enumerate(), |_| (), |x, y, _, _| x.1 < y.1) {
            NoElements => NoElements,
            OneElement(x) => OneElement(x.0),
            MinMax(x, y) => MinMax(x.0, y.0),
        }
    }

    /// Return the postions of the minimum and maximum elements of an
    /// iterator, as determined by the specified function.
    ///
    /// The return value is a variant of [`MinMaxResult`] like for
    /// [`position_minmax`].
    ///
    /// For the minimum, if several elements are equally minimum, the
    /// position of the first of them is returned. For the maximum, if
    /// several elements are equally maximum, the position of the last
    /// of them is returned.
    ///
    /// The keys can be floats but no particular result is guaranteed
    /// if a key is NaN.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::MinMaxResult::{NoElements, OneElement, MinMax};
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_minmax_by_key(|x| x.abs()), NoElements);
    ///
    /// let a = [10_i32];
    /// assert_eq!(a.iter().position_minmax_by_key(|x| x.abs()), OneElement(0));
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_minmax_by_key(|x| x.abs()), MinMax(1, 4));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_minmax_by_key(|x| x.abs()), MinMax(0, 3));
    /// ```
    ///
    /// [`position_minmax`]: Self::position_minmax
    fn position_minmax_by_key<K, F>(self, mut key: F) -> MinMaxResult<usize>
        where Self: Sized, K: PartialOrd, F: FnMut(&Self::Item) -> K
    {
        use crate::MinMaxResult::{NoElements, OneElement, MinMax};
        match self.enumerate().minmax_by_key(|e| key(&e.1)) {
            NoElements => NoElements,
            OneElement(x) => OneElement(x.0),
            MinMax(x, y) => MinMax(x.0, y.0),
        }
    }

    /// Return the postions of the minimum and maximum elements of an
    /// iterator, as determined by the specified comparison function.
    ///
    /// The return value is a variant of [`MinMaxResult`] like for
    /// [`position_minmax`].
    ///
    /// For the minimum, if several elements are equally minimum, the
    /// position of the first of them is returned. For the maximum, if
    /// several elements are equally maximum, the position of the last
    /// of them is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// use itertools::Itertools;
    /// use itertools::MinMaxResult::{NoElements, OneElement, MinMax};
    ///
    /// let a: [i32; 0] = [];
    /// assert_eq!(a.iter().position_minmax_by(|x, y| x.cmp(y)), NoElements);
    ///
    /// let a = [10_i32];
    /// assert_eq!(a.iter().position_minmax_by(|x, y| x.cmp(y)), OneElement(0));
    ///
    /// let a = [-3_i32, 0, 1, 5, -10];
    /// assert_eq!(a.iter().position_minmax_by(|x, y| x.cmp(y)), MinMax(4, 3));
    ///
    /// let a = [1_i32, 1, -1, -1];
    /// assert_eq!(a.iter().position_minmax_by(|x, y| x.cmp(y)), MinMax(2, 1));
    /// ```
    ///
    /// [`position_minmax`]: Self::position_minmax
    fn position_minmax_by<F>(self, mut compare: F) -> MinMaxResult<usize>
        where Self: Sized, F: FnMut(&Self::Item, &Self::Item) -> Ordering
    {
        use crate::MinMaxResult::{NoElements, OneElement, MinMax};
        match self.enumerate().minmax_by(|x, y| compare(&x.1, &y.1)) {
            NoElements => NoElements,
            OneElement(x) => OneElement(x.0),
            MinMax(x, y) => MinMax(x.0, y.0),
        }
    }

    /// If the iterator yields exactly one element, that element will be returned, otherwise
    /// an error will be returned containing an iterator that has the same output as the input
    /// iterator.
    ///
    /// This provides an additional layer of validation over just calling `Iterator::next()`.
    /// If your assumption that there should only be one element yielded is false this provides
    /// the opportunity to detect and handle that, preventing errors at a distance.
    ///
    /// # Examples
    /// ```
    /// use itertools::Itertools;
    ///
    /// assert_eq!((0..10).filter(|&x| x == 2).exactly_one().unwrap(), 2);
    /// assert!((0..10).filter(|&x| x > 1 && x < 4).exactly_one().unwrap_err().eq(2..4));
    /// assert!((0..10).filter(|&x| x > 1 && x < 5).exactly_one().unwrap_err().eq(2..5));
    /// assert!((0..10).filter(|&_| false).exactly_one().unwrap_err().eq(0..0));
    /// ```
    fn exactly_one(mut self) -> Result<Self::Item, ExactlyOneError<Self>>
    where
        Self: Sized,
    {
        match self.next() {
            Some(first) => {
                match self.next() {
                    Some(second) => {
                        Err(ExactlyOneError::new(Some(Either::Left([first, second])), self))
                    }
                    None => {
                        Ok(first)
                    }
                }
            }
            None => Err(ExactlyOneError::new(None, self)),
        }
    }

    /// If the iterator yields no elements, Ok(None) will be returned. If the iterator yields
    /// exactly one element, that element will be returned, otherwise an error will be returned
    /// containing an iterator that has the same output as the input iterator.
    ///
    /// This provides an additional layer of validation over just calling `Iterator::next()`.
    /// If your assumption that there should be at most one element yielded is false this provides
    /// the opportunity to detect and handle that, preventing errors at a distance.
    ///
    /// # Examples
    /// ```
    /// use itertools::Itertools;
    ///
    /// assert_eq!((0..10).filter(|&x| x == 2).at_most_one().unwrap(), Some(2));
    /// assert!((0..10).filter(|&x| x > 1 && x < 4).at_most_one().unwrap_err().eq(2..4));
    /// assert!((0..10).filter(|&x| x > 1 && x < 5).at_most_one().unwrap_err().eq(2..5));
    /// assert_eq!((0..10).filter(|&_| false).at_most_one().unwrap(), None);
    /// ```
    fn at_most_one(mut self) -> Result<Option<Self::Item>, ExactlyOneError<Self>>
    where
        Self: Sized,
    {
        match self.next() {
            Some(first) => {
                match self.next() {
                    Some(second) => {
                        Err(ExactlyOneError::new(Some(Either::Left([first, second])), self))
                    }
                    None => {
                        Ok(Some(first))
                    }
                }
            }
            None => Ok(None),
        }
    }

    /// An iterator adaptor that allows the user to peek at multiple `.next()`
    /// values without advancing the base iterator.
    ///
    /// # Examples
    /// ```
    /// use itertools::Itertools;
    ///
    /// let mut iter = (0..10).multipeek();
    /// assert_eq!(iter.peek(), Some(&0));
    /// assert_eq!(iter.peek(), Some(&1));
    /// assert_eq!(iter.peek(), Some(&2));
    /// assert_eq!(iter.next(), Some(0));
    /// assert_eq!(iter.peek(), Some(&1));
    /// ```
    #[cfg(feature = "use_alloc")]
    fn multipeek(self) -> MultiPeek<Self>
    where
        Self: Sized,
    {
        multipeek_impl::multipeek(self)
    }

    /// Collect the items in this iterator and return a `HashMap` which
    /// contains each item that appears in the iterator and the number
    /// of times it appears.
    ///
    /// # Examples
    /// ```
    /// # use itertools::Itertools;
    /// let counts = [1, 1, 1, 3, 3, 5].into_iter().counts();
    /// assert_eq!(counts[&1], 3);
    /// assert_eq!(counts[&3], 2);
    /// assert_eq!(counts[&5], 1);
    /// assert_eq!(counts.get(&0), None);
    /// ```
    #[cfg(feature = "use_std")]
    fn counts(self) -> HashMap<Self::Item, usize>
    where
        Self: Sized,
        Self::Item: Eq + Hash,
    {
        let mut counts = HashMap::new();
        self.for_each(|item| *counts.entry(item).or_default() += 1);
        counts
    }

    /// Collect the items in this iterator and return a `HashMap` which
    /// contains each item that appears in the iterator and the number
    /// of times it appears,
    /// determining identity using a keying function.
    ///
    /// ```
    /// # use itertools::Itertools;
    /// struct Character {
    ///   first_name: &'static str,
    ///   last_name:  &'static str,
    /// }
    ///
    /// let characters =
    ///     vec![
    ///         Character { first_name: "Amy",   last_name: "Pond"      },
    ///         Character { first_name: "Amy",   last_name: "Wong"      },
    ///         Character { first_name: "Amy",   last_name: "Santiago"  },
    ///         Character { first_name: "James", last_name: "Bond"      },
    ///         Character { first_name: "James", last_name: "Sullivan"  },
    ///         Character { first_name: "James", last_name: "Norington" },
    ///         Character { first_name: "James", last_name: "Kirk"      },
    ///     ];
    ///
    /// let first_name_frequency =
    ///     characters
    ///         .into_iter()
    ///         .counts_by(|c| c.first_name);
    ///
    /// assert_eq!(first_name_frequency["Amy"], 3);
    /// assert_eq!(first_name_frequency["James"], 4);
    /// assert_eq!(first_name_frequency.contains_key("Asha"), false);
    /// ```
    #[cfg(feature = "use_std")]
    fn counts_by<K, F>(self, f: F) -> HashMap<K, usize>
    where
        Self: Sized,
        K: Eq + Hash,
        F: FnMut(Self::Item) -> K,
    {
        self.map(f).counts()
    }

    /// Converts an iterator of tuples into a tuple of containers.
    ///
    /// `unzip()` consumes an entire iterator of n-ary tuples, producing `n` collections, one for each
    /// column.
    ///
    /// This function is, in some sense, the opposite of [`multizip`].
    ///
    /// ```
    /// use itertools::Itertools;
    ///
    /// let inputs = vec![(1, 2, 3), (4, 5, 6), (7, 8, 9)];
    ///
    /// let (a, b, c): (Vec<_>, Vec<_>, Vec<_>) = inputs
    ///     .into_iter()
    ///     .multiunzip();
    ///
    /// assert_eq!(a, vec![1, 4, 7]);
    /// assert_eq!(b, vec![2, 5, 8]);
    /// assert_eq!(c, vec![3, 6, 9]);
    /// ```
    fn multiunzip<FromI>(self) -> FromI
    where
        Self: Sized + MultiUnzip<FromI>,
    {
        MultiUnzip::multiunzip(self)
    }
}

impl<T: ?Sized> Itertools for T where T: Iterator { }

/// Return `true` if both iterables produce equal sequences
/// (elements pairwise equal and sequences of the same length),
/// `false` otherwise.
///
/// [`IntoIterator`] enabled version of [`Iterator::eq`].
///
/// ```
/// assert!(itertools::equal(vec![1, 2, 3], 1..4));
/// assert!(!itertools::equal(&[0, 0], &[0, 0, 0]));
/// ```
pub fn equal<I, J>(a: I, b: J) -> bool
    where I: IntoIterator,
          J: IntoIterator,
          I::Item: PartialEq<J::Item>
{
    a.into_iter().eq(b)
}

/// Assert that two iterables produce equal sequences, with the same
/// semantics as [`equal(a, b)`](equal).
///
/// **Panics** on assertion failure with a message that shows the
/// two iteration elements.
///
/// ```ignore
/// assert_equal("exceed".split('c'), "excess".split('c'));
/// // ^PANIC: panicked at 'Failed assertion Some("eed") == Some("ess") for iteration 1',
/// ```
pub fn assert_equal<I, J>(a: I, b: J)
    where I: IntoIterator,
          J: IntoIterator,
          I::Item: fmt::Debug + PartialEq<J::Item>,
          J::Item: fmt::Debug,
{
    let mut ia = a.into_iter();
    let mut ib = b.into_iter();
    let mut i = 0;
    loop {
        match (ia.next(), ib.next()) {
            (None, None) => return,
            (a, b) => {
                let equal = match (&a, &b) {
                    (&Some(ref a), &Some(ref b)) => a == b,
                    _ => false,
                };
                assert!(equal, "Failed assertion {a:?} == {b:?} for iteration {i}",
                        i=i, a=a, b=b);
                i += 1;
            }
        }
    }
}

/// Partition a sequence using predicate `pred` so that elements
/// that map to `true` are placed before elements which map to `false`.
///
/// The order within the partitions is arbitrary.
///
/// Return the index of the split point.
///
/// ```
/// use itertools::partition;
///
/// # // use repeated numbers to not promise any ordering
/// let mut data = [7, 1, 1, 7, 1, 1, 7];
/// let split_index = partition(&mut data, |elt| *elt >= 3);
///
/// assert_eq!(data, [7, 7, 7, 1, 1, 1, 1]);
/// assert_eq!(split_index, 3);
/// ```
pub fn partition<'a, A: 'a, I, F>(iter: I, mut pred: F) -> usize
    where I: IntoIterator<Item = &'a mut A>,
          I::IntoIter: DoubleEndedIterator,
          F: FnMut(&A) -> bool
{
    let mut split_index = 0;
    let mut iter = iter.into_iter();
    'main: while let Some(front) = iter.next() {
        if !pred(front) {
            loop {
                match iter.next_back() {
                    Some(back) => if pred(back) {
                        std::mem::swap(front, back);
                        break;
                    },
                    None => break 'main,
                }
            }
        }
        split_index += 1;
    }
    split_index
}

/// An enum used for controlling the execution of `fold_while`.
///
/// See [`.fold_while()`](Itertools::fold_while) for more information.
#[derive(Copy, Clone, Debug, Eq, PartialEq)]
pub enum FoldWhile<T> {
    /// Continue folding with this value
    Continue(T),
    /// Fold is complete and will return this value
    Done(T),
}

impl<T> FoldWhile<T> {
    /// Return the value in the continue or done.
    pub fn into_inner(self) -> T {
        match self {
            FoldWhile::Continue(x) | FoldWhile::Done(x) => x,
        }
    }

    /// Return true if `self` is `Done`, false if it is `Continue`.
    pub fn is_done(&self) -> bool {
        match *self {
            FoldWhile::Continue(_) => false,
            FoldWhile::Done(_) => true,
        }
    }
}