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 <iostream>
#include <algorithm>
using namespace std;
const int N = 100 +5;
const int M = 1000 +5;
const int mod = 1e9+7;
typedef pair<int,int> pii;
inline int add(int x, int y)
{
return (x+y>=mod ? x+y-mod : x+y);
}
inline int sub(int x, int y)
{
return (x-y<0 ? x-y+mod : x-y);
}
inline int gun(int x, int y)
{
return ((x*1ll*y)%mod);
}
int n,l;
int a[N];
int dp[N][M][M][3];
bool vis[N][M][M][3];
int solve(int idx, int comps, int sum, int matha)
{
if(sum > l)
return 0;
if(comps < 0 || comps >n)
return 0;
if(comps == 0 && idx>0)
return 0;
if(matha > 2)
return 0;
if(idx==n)
{
if(comps == 1 && matha == 2)
return 1;
return 0;
}
int &ret = dp[idx][comps][sum][matha];
if(vis[idx][comps][sum][matha])
return ret;
int prv = (idx-1>=0?a[idx-1] : 0);
int notun = sum + (a[idx]-prv)*(2*comps - matha);
int ans = 0;
//Create
ans = add(ans, gun(comps+1 - matha, solve(idx+1, comps+1, notun, matha)));
//merge
if(comps >= 2)
ans = add(ans, gun(comps-1, solve(idx+1, comps-1, notun, matha)) );
//add
if(comps>=1)
ans = add(ans, gun(2*comps-matha, solve(idx+1, comps, notun, matha)));
//notun matha
ans = add(ans, gun(2-matha, solve(idx+1, comps+1, notun, matha+1)));
//mathay lagao
ans = add(ans, gun(2-matha, solve(idx+1, comps, notun, matha+1)));
return ret = ans;
}
int32_t main()
{
cin>>n>>l;
for(int i=0; i<n; i++)
{
cin>>a[i];
}
sort(a,a+n);
if(n==1)
{
cout<<"1\n";
return 0;
}
cout<<solve(0,0,0,0)<<"\n";
return 0;
}
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