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 int64_t
const int MOD = 1e9+7, Z = 1e2 + 1, LIM = 1e3 + 1;
int N, L, A[Z], dp[Z][LIM][3], prv[Z][LIM][3];
#define push(X, Y, Z, VAL) (dp[X][Y][Z] += VAL) %= MOD;
int32_t main() {
cin >> N >> L;
for(int i = 0; i < N; ++i)
cin >> A[i];
sort(A, A + N);
dp[1][0][0] = 1;
dp[1][0][1] = 2;
if(N < 2)
dp[1][0][2] = 1;
for(int c = 1; c < N; ++c) {
swap(prv, dp);
memset(dp, 0, sizeof dp);
for(int i = 1; i < N; ++i) {
for(int j = 0; j < L; ++j) {
for(int k = 0; k < 3; ++k) {
int diff = j + (A[c] - A[c-1]) * (2 * i - k);
if(diff >= LIM) continue;
push(i + 1, diff, k, prv[i][j][k] * (i + 1 - k));
push(i - 1, diff, k, prv[i][j][k] * (i - 1));
push(i + 0, diff, k, prv[i][j][k] * (2 * i - k));
if(k < 2) {
push(i + 1, diff, k + 1, prv[i][j][k] * (1 + !k));
push(i + 0, diff, k + 1, prv[i][j][k] * (1 + !k));
}
}
}
}
}
int ans {};
for(int i = 0; i <= L; ++i)
(ans += dp[1][i][2]) %= MOD;
cout << ans;
}
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