Submission #19819

#TimeUsernameProblemLanguageResultExecution timeMemory
19819xdoju팔찌 (kriii4_V)C++14
6 / 100
1000 ms1084 KiB
#include <cstdio> using namespace std; const long long MOD = 1000000007ll; long long modpow(long long r, long long n) { long long ret = 1; while (n > 0) { if (n % 2 > 0) { ret = (ret * r) % MOD; } r = (r * r) % MOD; n /= 2; } return ret; } long long modinv(long long n) { return modpow(n, MOD - 2); } long long modprod(long long a, long long b) { a = a % MOD; b = b % MOD; return (a * b) % MOD; } long long modprod(long long a, long long b, long long c) { c = c % MOD; return (modprod(a, b) * c) % MOD; } long long moddiv(long long a, long long b) { return (a * modinv(b)) % MOD; } long long gcd(long long a, long long b) { if (a < b) { return gcd(b, a); } return (b == 0) ? a : gcd(b, a % b); } void proc() { long long n, k; scanf("%lld %lld", &n, &k); long long ans = 1; for (long long i = 1; i <= n; ++i) { long long t = 0; for (long long p = 1; p <= i; ++p) { t = (t + modpow(k, gcd(i, p))) % MOD; } t = moddiv(t, i); long long u = 0; if (i % 2 == 0) { u = moddiv(t, 2); long long v = modprod(k + 1, modpow(k, i / 2)); v = moddiv(v, 4); u = (u + v) % MOD; } else { u = moddiv(t, 2); long long v = modpow(k, (i + 1) / 2); v = moddiv(v, 2); u = (u + v) % MOD; } ans = (ans + u) % MOD; } printf("%lld", ans); } int main() { //freopen("input.txt", "r", stdin); proc(); return 0; }
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