mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
78 lines
1.6 KiB
C++
78 lines
1.6 KiB
C++
#include <iostream>
|
|
#include <sstream>
|
|
#include <cstdio>
|
|
#include <cstdlib>
|
|
#include <algorithm>
|
|
#include <cmath>
|
|
#include <iomanip>
|
|
#include <cstring>
|
|
#include <string>
|
|
#include <map>
|
|
#include <set>
|
|
#include <vector>
|
|
using namespace std;
|
|
const int MOD=1000000007;
|
|
const int MaxN=103;
|
|
const int MaxM=203;
|
|
int N,K,f[2][MaxN][MaxM],s[MaxN][MaxM];
|
|
int solve()
|
|
{
|
|
int MaxK=2*K+1;
|
|
for (int i=0; i<=K; ++i)
|
|
for (int j=0; j<=MaxK; ++j) f[0][i][j]=s[i][j]=0;
|
|
f[0][0][0]=1;
|
|
s[0][0]=1;
|
|
int cur=0,last;
|
|
for (int i=1; i<=N; ++i)
|
|
{
|
|
last=cur;
|
|
cur=1-cur;
|
|
for (int j=0; j<=K; ++j)
|
|
for (int k=0; k<=MaxK; ++k) f[cur][j][k]=0;
|
|
f[cur][0][0]=1;
|
|
for (int j=1; j<=K; ++j)
|
|
{
|
|
for (int k=j; k<MaxK-1; ++k)
|
|
{
|
|
f[cur][j][k]=f[cur][j-1][k-1]+f[last][j][k-j];
|
|
f[cur][j][k]%=MOD;
|
|
}
|
|
for (int p=0; p<=j; ++p)
|
|
{
|
|
int cnt=MaxK-1-j;
|
|
f[cur][j][MaxK-1]+=s[p][cnt];
|
|
f[cur][j][MaxK-1]%=MOD;
|
|
cnt=MaxK-j;
|
|
f[cur][j][MaxK]+=s[p][cnt];
|
|
f[cur][j][MaxK]%=MOD;
|
|
}
|
|
}
|
|
for (int j=0; j<=K; ++j)
|
|
for (int k=MaxK; k>=0; --k) s[j][k]=f[cur][j][k];
|
|
for (int j=0; j<=K; ++j)
|
|
for (int k=MaxK-2; k>=0; --k)
|
|
{
|
|
s[j][k]+=s[j][k+2];
|
|
s[j][k]%=MOD;
|
|
}
|
|
}
|
|
int ans=0;
|
|
for (int i=0; i<=K; ++i)
|
|
for (int j=i+i; j<MaxK; j+=2)
|
|
{
|
|
ans+=f[cur][i][j];
|
|
ans%=MOD;
|
|
}
|
|
return ans;
|
|
}
|
|
int main()
|
|
{
|
|
int Testnum;
|
|
scanf("%d",&Testnum);
|
|
for (int Test=1; Test<=Testnum; ++Test)
|
|
{
|
|
scanf("%d %d",&N,&K);
|
|
printf("Case #%d: %d\n",Test,solve());
|
|
}
|
|
}
|