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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#775460 | #9782. NonZero PrefSuf Sums | ucup-team3161# | AC ✓ | 99ms | 10740kb | C++17 | 1.3kb | 2024-11-23 15:58:46 | 2024-11-23 15:58:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N=105,M=1e4+5;
int n,m,MOD,ans,dp[N][M*2];
void W(int &x,int y) {x+=y;if(x>=MOD) x-=MOD;}
void W(int &x,ll y) {x=(x+y)%MOD;}
int W1(int x,int y) {x+=y;return x<MOD?x:x-MOD;}
int slv(int l,int r)
{
int res=0;
dp[0][M]=1;
dp[0][-1+M]=0;
for(int i=1;i<=n;++i)
{
for(int j=i*l;j<=i*r;++j)
dp[i][j+M]=W1(dp[i-1][min(j-l,(i-1)*r)+M],MOD-dp[i-1][max(j-r-1,(i-1)*l-1)+M]);
dp[i][i*l-1+M]=0;
for(int j=i*l;j<=i*r;++j) W(dp[i][j+M],dp[i][j-1+M]);
}
return dp[n][-1+M];
}
int slv1(int x,int y)
{
if(x<0) return 0;
int res=0;
for(int i=-n-1;i<=n;++i) dp[0][i+N]=0;
dp[0][N]=1;
for(int i=1;i<=n;++i)
{
for(int j=-n;j<=n;++j) W(dp[i-1][j+N],dp[i-1][j-1+N]);
for(int j=-n;j<=n;++j)
dp[i][j+N]=W1(dp[i-1][min(j+x,n)+N],MOD-dp[i-1][max(j-2,-n-1)+N]);
dp[i][-n-1+N]=0;
}
for(int i=y;i<=n;++i) W(res,dp[n][i+N]);
return res;
}
int main()
{
scanf("%d %d %d",&n,&m,&MOD);
ans=slv(-m,m);
for(int i=1;i<=m;++i)
{
W(ans,MOD-slv(-1,m/i));
for(int j=0;j<=m/i;++j) W(ans,W1(slv1(j,j+2),MOD-slv1(j-1,j+2)));
}
printf("%d\n",ans*2%MOD);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3892kb
input:
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output:
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time: 14ms
memory: 8096kb
input:
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output:
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Test #3:
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memory: 3776kb
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Test #4:
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time: 18ms
memory: 8224kb
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output:
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time: 28ms
memory: 8144kb
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score: 0
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time: 99ms
memory: 10740kb
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output:
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Extra Test:
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Extra Test Passed