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C++: Fast power of number modulo x
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inline long long fastmodpow(long long a, long long b, long long x) { | |
if (!x || !a) { | |
return 0; | |
} | |
if (1 == a) { | |
return 1; | |
} | |
a %= x; | |
if (1 == b) { | |
return a; | |
} | |
long long pow = 1; | |
long long res = 1; | |
long long last_pw = a; | |
long long last_i = 1; | |
while (b) { | |
if (b & 1) { | |
long long pw = last_pw; | |
long long i = last_i; | |
while (i < pow) { | |
pw *= pw; | |
pw %= x; | |
i <<= 1; | |
} | |
last_pw = pw; | |
last_i = i; | |
res *= pw; | |
res %= x; | |
} | |
pow <<= 1; | |
b >>= 1; | |
} | |
return int(res % x); | |
} |
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