Created
April 7, 2024 09:14
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『群論への第一歩』問題4-1
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| for g in range(12): | |
| s = set() | |
| i = 0 | |
| while True: | |
| v = (g * i) % 12 | |
| if v in s: | |
| break | |
| s.add(v) | |
| i += 1 | |
| print(f"<{g:>2}> = {s}") |
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実行結果
< 0> = {0}
< 1> = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
< 2> = {0, 2, 4, 6, 8, 10}
< 3> = {0, 9, 3, 6}
< 4> = {0, 8, 4}
< 5> = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
< 6> = {0, 6}
< 7> = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
< 8> = {0, 8, 4}
< 9> = {0, 9, 3, 6}
<10> = {0, 2, 4, 6, 8, 10}
<11> = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}