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8051Enthusiast/advent-of-code-6.sage

Last active December 14, 2022 03:34
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advent-of-code-6.sage
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advent-of-code-6.sage
num = {'a': 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N = 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
e = 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
R.<a> = PolynomialRing(ZZ)
file = open('aoc6.txt').read().strip()
f = R([num[x] for x in file])
g = R((a^4 - 1)/(a - 1))
v = vector(f*g).change_ring(IntegerModRing(N)).apply_map(lambda x: x^e - 1)
print(min(set(range(len(v))) - set(v.support())) + 1)
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