29 lines
620 B
Python
29 lines
620 B
Python
def remainder(a: int, n: int) -> int:
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d = a * a
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return (pow(a - 1, n, d) + pow(a + 1, n, d)) % d
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def max_remainder(a: int) -> int:
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n, r_max = 1, 2
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while True:
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r = remainder(a, n)
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if r == r_max:
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break
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if r > r_max:
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r_max = r
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n += 1
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assert(r_max > 2)
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return r_max
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def euler_120():
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assert(remainder(7, 3) == 42)
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assert(max_remainder(7) == 42)
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return sum([max_remainder(n) for n in range(3, 1001)])
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if __name__ == "__main__":
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solution = euler_120()
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print("e120.py: " + str(solution))
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assert(solution == 333082500)
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