제출 #19736

#제출 시각아이디문제언어결과실행 시간메모리
19736myungwoo괄호 (kriii4_R)C++14
0 / 100
511 ms24544 KiB
#include<stdio.h> #define mod 1000000007 #define inv(a) exp(a,mod-2) typedef long long lld; lld exp(lld a, lld b){ if(b==0)return 1; lld k=exp(a, b/2); k=(k*k)%mod; if(b%2)k=(k*a)%mod; return k; } lld fac[1001001], rfac[1001001]; void init(){ lld i; fac[0]=rfac[0]=1; for(i=1; i<=1000000; i++){ fac[i]=(fac[i-1]*i)%mod; rfac[i]=inv(fac[i]); } } lld comb(lld a, lld b){ return fac[a]*rfac[b]%mod*rfac[a-b]%mod; } lld n, k, dy[1001001]; int main(){ lld i; init(); scanf("%lld%lld", &n, &k); dy[0]=1; for(i=1; i<=n; i++){ dy[i]=dy[i-1]*k%mod; if(i%2==0){ lld j=i/2; lld cat=comb(i,j)*inv(j+1)%mod; cat=(cat*exp(k,j))%mod; dy[i] = (dy[i]+cat)%mod; } } printf("%lld", dy[n]); return 0; }
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