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>
using namespace std;
#define int long long
const int mod = 1e9 + 7;
int32_t main()
{
    int n, l;
    cin >> n >> l;
    vector<int> nums(n);
    for (int i = 0; i < n; i++)
    {
        cin >> nums[i];
    }
    sort(nums.begin(), nums.end());
    vector<vector<vector<vector<int>>>> dp(n+1, vector<vector<vector<int>>>(l+1, vector<vector<int>>(n+1, vector<int>(3, 0))));
    dp[0][0][0][0] = 1;
    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j <= l; j++)
        {
            for (int k = 0; k < n; k++)
            {
                for (int m =0; m < 3; m++)
                {
                    int nsum = j;
                    if (k==0 && i) continue;
                    if(i) nsum = j+(k*2-m)*(nums[i]-nums[i-1]);
                    if(nsum > l) continue;
                    if (nsum<0) continue;
                    if(k) dp[i+1][nsum][k][m] += dp[i][j][k][m]*(k*2-m);
                    if(k) dp[i+1][nsum][k-1][m] += dp[i][j][k][m]*(k-1);
                    if(k+1>m) dp[i+1][nsum][k+1][m] += dp[i][j][k][m]*(k+1-m);
                    if(m!=2)
                    {
                        dp[i+1][nsum][k+1][m+1] += dp[i][j][k][m]*(2-m);
                        if(k) dp[i+1][nsum][k][m+1] += dp[i][j][k][m]*(2-m);
                        dp[i+1][nsum][k+1][m+1]%=mod;
                        dp[i+1][nsum][k][m+1]%=mod;
                    }
                    dp[i+1][nsum][k][m]%=mod;
                    if(k) dp[i+1][nsum][k-1][m]%=mod;
                    dp[i+1][nsum][k+1][m]%=mod;
                }
            }
        }
    }
    int sum = 0;
    for (int i = 0; i <= l; i++)
    {
        sum += dp[n][i][1][2];
        sum%=mod;
    }
    cout << sum;
    return 0;
}
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