When are sets of ints ordered?
Reading some solution, I noticed that some sets of ints are apparently ordered, depending on size and range. Why? When? And is this documented/guaranteed somewhere? I couldn't find anything.
For example:
>>> import random >>> for i in range(20, 50): L = list(set(random.sample(range(i), 20))) print(i, L == sorted(L), L) 20 True [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19] 21 True [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] 22 True [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19] 23 True [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22] 24 True [0, 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 19, 20, 21, 22, 23] 25 True [2, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24] 26 True [0, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 23, 25] 27 True [1, 2, 3, 4, 6, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 26] 28 True [0, 4, 5, 7, 8, 9, 10, 11, 13, 14, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27] 29 True [0, 1, 3, 5, 7, 8, 9, 10, 11, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28] 30 True [1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 22, 24, 25, 26, 28] 31 True [0, 2, 3, 4, 6, 10, 12, 13, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28] 32 True [1, 2, 3, 4, 5, 7, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 31] 33 True [1, 2, 5, 6, 9, 12, 13, 14, 15, 16, 18, 19, 22, 23, 25, 26, 27, 28, 29, 31] 34 False [0, 32, 2, 4, 6, 8, 10, 14, 15, 16, 17, 18, 19, 21, 23, 25, 26, 28, 30, 31] 35 False [1, 34, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 18, 22, 25, 26, 27, 30] 36 False [0, 33, 34, 1, 4, 5, 6, 7, 10, 13, 14, 18, 19, 24, 26, 27, 28, 29, 30, 31] 37 False [0, 1, 34, 35, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 18, 19, 20, 21, 23, 31] 38 False [3, 36, 37, 4, 9, 10, 11, 12, 14, 15, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29] 39 False [0, 33, 34, 3, 4, 36, 1, 37, 8, 9, 10, 11, 6, 14, 35, 18, 20, 23, 26, 27] 40 False [1, 34, 35, 2, 4, 37, 33, 9, 11, 12, 14, 16, 17, 18, 20, 25, 28, 29, 30, 31] 41 False [32, 34, 2, 4, 37, 38, 39, 7, 40, 5, 11, 13, 14, 16, 17, 19, 21, 23, 25, 29] 42 False [32, 1, 0, 3, 34, 37, 36, 39, 40, 41, 10, 11, 8, 16, 20, 23, 24, 25, 26, 31] 43 False [32, 1, 35, 4, 37, 39, 40, 7, 10, 11, 42, 14, 15, 16, 17, 18, 23, 25, 29, 31] 44 False [33, 35, 3, 5, 38, 4, 8, 41, 42, 43, 12, 13, 40, 19, 21, 22, 23, 24, 26, 27] 45 False [33, 34, 35, 4, 36, 38, 7, 41, 42, 11, 44, 15, 17, 18, 19, 25, 26, 27, 28, 31] 46 False [0, 34, 35, 36, 37, 3, 7, 8, 6, 5, 43, 40, 45, 14, 18, 22, 23, 24, 27, 31] 47 False [36, 6, 38, 8, 9, 42, 43, 11, 45, 46, 15, 14, 17, 19, 23, 24, 26, 28, 29, 30] 48 False [0, 33, 34, 5, 6, 39, 41, 10, 43, 42, 13, 44, 15, 16, 17, 45, 20, 22, 24, 26] 49 False [2, 34, 36, 5, 6, 39, 7, 41, 10, 11, 45, 14, 47, 17, 19, 20, 21, 24, 29, 30]