# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
19673 | | ainta | 괄호 (kriii4_R) | C++98 | | 884 ms | 40456 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>
#include<algorithm>
using namespace std;
long long Mod = 1000000007, K, F[2010000], Inv[1010000], InvF[1010000], D[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;
}
long long GetPow(long long a, int b){
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);
F[0]=InvF[0]=1;
for(i=1;i<=2000000;i++)F[i] = F[i-1]*i%Mod;
for(i=1;i<=1000000;i++){
Inv[i] = GetInv(i);
InvF[i] = InvF[i-1]*Inv[i]%Mod;
}
D[1] = 1;
long long tp;
for(i=1;i<n;i++){
tp = F[2*i]*InvF[i]%Mod*InvF[i]%Mod*Inv[i+1]%Mod;
D[i+1] = ((D[i]-tp+Mod)%Mod*2 + tp)%Mod;
}
printf("%lld\n",D[n]*GetPow(K,n)%Mod);
}
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