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;
using ll = long long;
const int L = 1005;
const int N = 105;
const int MOD = 1e9 + 7;
int madd(int x, int y) {
if ((x += y) >= MOD) x -= MOD;
return x;
}
int mmul(int x, int y) {
return ll(x) * y % MOD;
}
int n, l, dp[N][L][N][2][2], a[N];
int rec(int i, int tot,
int seg, int kl, int kr) {
int nxt = tot + (seg * 2 + kl
+ kr) * abs(a[i + 1] - a[i]);
if (nxt > l || seg < 0) return 0;
if (i == n - 1) return seg == 0;
int &res = dp[i][tot][seg][kl][kr];
if (~res) return res;
res = rec(i + 1, nxt, seg, 1, kr);
res = madd(res,
rec(i + 1, nxt, seg, kl, 1));
res = madd(res, mmul(rec(i + 1,
nxt, seg - 1, 1, kr), seg));
res = madd(res, mmul(rec(i + 1,
nxt, seg - 1, kl, 1), seg));
res = madd(res, rec(i + 1,
nxt, seg + 1, kl, kr));
res = madd(res, mmul(rec(i + 1,
nxt, seg, kl, kr), seg * 2));
res = madd(res, mmul(rec(i + 1, nxt,
seg - 1, kl, kr), seg * (seg - 1)));
return res;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> l;
for (int i = 1; i <= n; i++)
cin >> a[i];
sort(a + 1, a + n + 1);
memset(dp, -1, sizeof dp);
a[0] = a[1];
cout << rec(0, 0, 0, 0, 0) << '\n';
}
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