Submission #105441

#TimeUsernameProblemLanguageResultExecution timeMemory
105441he_____heAsceticism (JOI18_asceticism)C++14
100 / 100
28 ms1920 KiB
#include<bits/stdc++.h> using namespace std; typedef long long ll; int readint(){ int x=0,f=1; char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } const int cys=1000000007; int n,k; ll fac[100005],inv[100005]; int mod(int x){return x>=cys?x-cys:x;} ll qpow(ll x,ll p){ ll ret=1; for(;p;p>>=1,x=x*x%cys) if(p&1) ret=ret*x%cys; return ret; } int main(){ n=readint(); k=n-readint()+1; fac[0]=inv[0]=1; for(int i=1;i<=n+1;i++) fac[i]=fac[i-1]*i%cys,inv[i]=qpow(fac[i],cys-2); ll ans=0; for(int i=0;i<=k;i++) ans=mod(ans+((i&1)?cys-1:1)*qpow(k-i,n)%cys*fac[n+1]%cys*inv[i]%cys*inv[n-i+1]%cys); printf("%lld\n",ans); return 0; }
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