Submission #19291

#TimeUsernameProblemLanguageResultExecution timeMemory
19291kaTkaHr괄호 (kriii4_R)C++14
100 / 100
260 ms1084 KiB
#include <stdio.h> #include<vector> #include <algorithm> #include <map> using namespace std; typedef long long ll; const int MX = 1005, MM = 1000000007; template<typename T> T pw(T A, ll B){ T R = 1; while(B){ if( B&1 ) R = R * A; A = A * A; B /= 2; } return R; } ll rv(ll A){ ll R = 1, B = MM-2; while(B){ if( B&1 ) R = R * A % MM; A = A * A % MM; B /= 2; } return R; } //* struct frac{ ll A, B; frac(ll A):A(A), B(1){} frac(ll a, ll b){ A = (a%MM+MM) % MM; B = (b%MM+MM) % MM; } frac(){A = 0, B = 1;} frac operator+ (const frac &l)const{ return frac((A * l.B + B * l.A) % MM, B * l.B % MM); } frac operator*(const frac &l)const{ return frac(A*l.A % MM, B*l.B % MM); } frac operator/(const frac &l)const{ return frac(A*l.B % MM, B*l.A % MM); } frac operator- (const frac &l)const{ return frac((A*l.B - B*l.A%MM + MM) % MM, B*l.B % MM); } ll v(){ return A * rv(B) % MM; } };// */ /* struct frac{ ll A; frac(ll A):A((A%MM+MM)%MM){} frac(ll a, ll b){ a = (a%MM+MM)%MM; b = (b%MM+MM)%MM; A = rv(b) * a % MM; } frac(){A = 0;} frac operator+ (const frac &l)const{ return l.A + A >= MM? l.A + A - MM: l.A + A; } frac operator*(const frac &l)const{ return l.A * A % MM; } frac operator/(const frac &l)const{ return A * rv(l.A) % MM; } frac operator- (const frac &l)const{ return A >= l.A? A-l.A: A-l.A + MM; } ll v(){ return A; } };// */ int main() { int N, K; scanf("%d%d", &N, &K); frac ans = 0, mul = 1, t = 0; for(int i = 0; i <= N/2; i++){ ans = ans + pw(frac(K), N-i) * (mul - t); t = mul; mul = mul * (N-i) / (i+1); } printf("%lld\n", ans.v()); }
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