제출 #19758

#제출 시각아이디문제언어결과실행 시간메모리
19758tonyjjw괄호 (kriii4_R)C++14
100 / 100
765 ms17348 KiB
#include <algorithm> #include <assert.h> #include <complex> #include <ctype.h> #include <functional> #include <iostream> #include <limits.h> #include <locale.h> #include <map> #include <math.h> #include <queue> #include <set> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <time.h> #include <vector> #include <unordered_set> #include <unordered_map> #pragma warning(disable:4996) using namespace std; #define mp make_pair typedef long long ll; typedef unsigned long long ull; typedef double db; typedef long double ldb; typedef pair <int, int> pii; typedef pair <ll, ll> pll; typedef pair <ll, int> pli; typedef pair <ldb, ldb> pdd; int IT_MAX = 131072; const ll MOD = 1000000007; const int INF = 1034567891; const ll LL_INF = 2234567890123456789ll; const db PI = 3.141592653589793238; const ldb ERR = 1E-10; ll mul_inv(ll a, ll b) { ll b0 = b, t, q; ll x0 = 0, x1 = 1; if (b == 1) return 1; while (a > 1) { q = a / b; t = b, b = a % b, a = t; t = x0, x0 = x1 - q * x0, x1 = t; } if (x1 < 0) x1 += b0; return x1; } ll F[1000050]; ll powK[1000050]; ll C(int i, int j) { ll rv = F[i]; rv = (rv * mul_inv(F[j], MOD)) % MOD; rv = (rv * mul_inv(F[i - j], MOD)) % MOD; return rv; } int main() { int N, K, i; scanf("%d %d", &N, &K); F[0] = 1, powK[0] = 1; for (i = 1; i <= N; i++) F[i] = (F[i - 1] * i) % MOD; for (i = 1; i <= N; i++) powK[i] = (powK[i - 1] * K) % MOD; ll ans = powK[N]; for (i = 1; i <= N / 2; i++) { ll t = (C(N, i) - C(N, i - 1) + MOD) % MOD; ans = (ans + t * powK[N - i]) % MOD; } printf("%lld\n", ans); return 0; }
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