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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#186427 | #834. Disjoint LIS | zhouhuanyi | AC ✓ | 494ms | 3848kb | C++14 | 1.2kb | 2023-09-23 20:04:23 | 2023-09-23 20:04:25 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define N 75
#define mod 998244353
using namespace std;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
int fast_pow(int a,int b)
{
int res=1,mul=a;
while (b)
{
if (b&1) res=1ll*res*mul%mod;
mul=1ll*mul*mul%mod,b>>=1;
}
return res;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
int n,ans,fac[N+1],invfac[N+1],inv[N+1],tong[N+1],length;
void dfs(int x,int y)
{
if (!x)
{
int cnt,res=fac[n];
for (int i=1;i<=length;++i)
for (int j=1;j<=tong[i];++j)
{
cnt=tong[i]-j;
for (int k=i+1;k<=length;++k) cnt+=(tong[k]>=j);
res=1ll*res*inv[cnt+1]%mod;
}
if (length!=1) Adder(ans,1ll*res*res%mod);
return;
}
for (int i=1;i<=min(x,y);++i)
{
if (length==1&&tong[1]!=i) continue;
tong[++length]=i,dfs(x-i,i),--length;
}
return;
}
int main()
{
fac[0]=1;
for (int i=1;i<=N;++i) fac[i]=1ll*fac[i-1]*i%mod;
invfac[N]=fast_pow(fac[N],mod-2);
for (int i=N-1;i>=0;--i) invfac[i]=1ll*invfac[i+1]*(i+1)%mod;
for (int i=1;i<=N;++i) inv[i]=1ll*fac[i-1]*invfac[i]%mod;
n=read(),dfs(n,n),printf("%d\n",ans);
return 0;
}
Details
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Test #1:
score: 100
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