22 lines
291 B
Python
22 lines
291 B
Python
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#!/usr/bin/env python3
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from lib import primegen
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def fpw(p, n):
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pw = 0
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pwofp = p
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while pwofp <= n:
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pw += n // pwofp
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pwofp *= p
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return pw
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N = 10**8
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mod = 10**9 + 9
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k = 1
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for p in primegen(N+1):
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k *= pow(p, 2 * fpw(p, N), mod) + 1
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k %= mod
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print(k)
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