# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
19993 | | xdoju | 괄호 (kriii4_R) | C++14 | | 604 ms | 1084 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
const int MOD = 1000000007;
int mul(int x, int y){ return (long long)x * y % MOD; }
int power(int x, int y){
if(y == 0) return 1;
int r = power(x, y / 2);
r = mul(r, r);
if(y % 2 == 1) r = mul(r, x);
return r;
}
int modinv(int x){ return power(x, MOD - 2); }
int main(){
int N, K; scanf("%d%d", &N, &K);
int ans = 0, v = power(K, N);
for(int op = N; op >= 0; op--){
int cl = N - op;
if(cl > op) break;
ans += v; ans %= MOD;
v = mul(v, modinv(K));
v = mul(v, N - cl * 2 - 1);
v = mul(v, modinv(cl + 1));
if(cl != 0){
v = mul(v, N - cl + 1);
v = mul(v, modinv(N - 2 * cl + 1));
}
}
printf("%d\n", ans);
return 0;
}
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