Submission #19700

#TimeUsernameProblemLanguageResultExecution timeMemory
19700ainta괄호 (kriii4_R)C++98
100 / 100
974 ms48348 KiB
#include<stdio.h> #include<algorithm> using namespace std; long long Mod = 1000000007, K, F[2010000], Inv[1010000], InvF[1010000], D[1010000], Po[1010000]; int n; long long GetInv(long long a){ int b = Mod-2; long long r = 1; while(b){ if(b&1)r=r*a%Mod; a=a*a%Mod;b>>=1; } return r; } int main(){ int i; scanf("%d%lld",&n,&K); Po[0]=F[0]=InvF[0]=1; for(i=1;i<=2000000;i++)F[i] = F[i-1]*i%Mod; for(i=1;i<=1000000;i++){ Po[i] = Po[i-1]*K%Mod; Inv[i] = GetInv(i); InvF[i] = InvF[i-1]*Inv[i]%Mod; } D[1] = K; long long tp; for(i=1;i<n;i++){ if(i%2==0)tp = F[i]*InvF[i/2]%Mod*InvF[i/2]%Mod*Inv[i/2+1]%Mod*Po[i/2]%Mod; else tp = 0; D[i+1] = ((D[i]-tp+Mod)%Mod*(K+1)%Mod + tp*K)%Mod; } printf("%lld\n",D[n]); }
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