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 <bits/stdc++.h>
#define MOD 1000000007
using namespace std;
int v[105];
int din[105][105][1005][2][2],n,l,i,j,sum,S,F;
int main()
{
ios_base :: sync_with_stdio(false);
cin.tie(0);
#ifdef HOME
ifstream cin("date.in");
ofstream cout("date.out");
#endif // HOME
cin>>n>>l;
for (i=1;i<=n;i++)
{
cin>>v[i];
}
sort (v+1,v+n+1);
/// starile initiale
din[1][0][0][1][1] = din[1][0][0][0][1] = din[1][0][0][1][0] = din[1][0][0][0][0] = 1;
for (i=1;i<n;i++)
{
for (j=0;j<=n;j++)
{
for (sum=0;sum<=l;sum++)
{
for (S=0;S<=1;S++)
{
for (F=0;F<=1;F++)
{
int nou_sum=sum+(v[i+1]-v[i])*(2*j+F+S);
if (din[i][j][sum][S][F]==0)
{
continue;
}
if (nou_sum>l)
{
continue;
}
if (j-1>=0)
{
din[i+1][j-1][nou_sum][S][F]=(din[i+1][j-1][nou_sum][S][F]+(1LL*din[i][j][sum][S][F]*j)%MOD)%MOD;
}
din[i+1][j][nou_sum][S][F]=(din[i+1][j][nou_sum][S][F]+(din[i][j][sum][S][F]*j*2)%MOD)%MOD;
din[i+1][j+1][nou_sum][S][F]=(din[i+1][j+1][nou_sum][S][F]+(din[i][j][sum][S][F]*j)%MOD)%MOD;
if (S==1)
{
din[i+1][j+1][nou_sum][0][F]=(din[i+1][j+1][nou_sum][0][F]+din[i][j][sum][S][F])%MOD;
din[i+1][j+1][nou_sum][1][F]=(din[i+1][j+1][nou_sum][1][F]+din[i][j][sum][S][F])%MOD;
din[i+1][j][nou_sum][0][F]=(din[i+1][j][nou_sum][0][F]+din[i][j][sum][S][F])%MOD;
din[i+1][j][nou_sum][1][F]=(din[i+1][j][nou_sum][1][F]+din[i][j][sum][S][F])%MOD;
}
if (F==1)
{
din[i+1][j+1][nou_sum][S][0]=(din[i+1][j+1][nou_sum][S][0]+din[i][j][sum][S][F])%MOD;
din[i+1][j+1][nou_sum][S][1]=(din[i+1][j+1][nou_sum][S][1]+din[i][j][sum][S][F])%MOD;
din[i+1][j][nou_sum][S][0]=(din[i+1][j][nou_sum][S][0]+din[i][j][sum][S][F])%MOD;
din[i+1][j][nou_sum][S][1]=(din[i+1][j][nou_sum][S][1]+din[i][j][sum][S][F])%MOD;
}
}
}
}
}
}
long long solfin=0;
for (sum=0;sum<=l;sum++)
{
solfin=(solfin+din[n][0][sum][0][0])%MOD;
}
cout<<solfin;
return 0;
}
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