이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/* be name khoda */
// #define long_enable
#include <iostream>
#include <algorithm>
#include <cstring>
#include <numeric>
#include <vector>
#include <fstream>
#include <set>
#include <map>
using namespace std;
#ifdef long_enable
typedef long long int ll;
#else
typedef int ll;
#endif
typedef pair<ll, ll> pii;
typedef pair<pii, ll> ppi;
typedef pair<ll, pii> pip;
typedef vector<ll> vi;
typedef vector<pii> vpii;
#define forifrom(i, s, n) for (ll i = s; i < n; ++i)
#define forirto(i, n, e) for (ll i = (n) - 1; i >= e; --i)
#define fori(i, n) forifrom (i, 0, n)
#define forir(i, n) forirto (i, n, 0)
#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define smin(a, b) a = min(a, (b))
#define smax(a, b) a = max(a, (b))
#define debug(x) cout << #x << " -> " << (x) << endl
#define debug2(x, y) cout << #x << ' ' << #y << " -> " << (x) << ' ' << (y) << endl
#define debug3(x, y, z) cout << #x << ' ' << #y << ' ' << #z << " -> " << (x) << ' ' << (y) << ' ' << (z) << endl
#define debug4(x, y, z, t) cout << #x << ' ' << #y << ' ' << #z << ' ' << #t << " -> " << (x) << ' ' << (y) << ' ' << (z) << ' ' << (t) << endl
#define debuga(x, n) cout << #x << " -> "; fori (i1_da, n) { cout << (x)[i1_da] << ' '; } cout << endl
#define debugaa(x, n, m) cout << #x << " ->\n"; fori (i1_daa, n) { fori (i2_daa, m) { cout << (x)[i1_daa][i2_daa] << ' '; } cout << '\n'; } cout << endl
const ll MOD = 1000000007;
const ll INF = 2000000000;
const long long BIG = 1446803456761533460LL;
#define XL (x << 1)
#define XR (XL | 1)
#define MD ((l + r) >> 1)
#define Add(a, b) a = ((a) + (1LL * b)) % MOD
#define Mul(a, b) a = (1LL * (a) * (b)) % MOD
// -----------------------------------------------------------------------
const ll maxn = 110;
const ll maxa = 1010;
ll N, L, A[maxn];
ll dp[maxn][maxn][maxa][3];
int main() {
ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
cin >> N >> L;
fori (i, N) cin >> A[i];
sort(A, A + N);
dp[0][0][0][2] = 1;
dp[0][0][0][1] = 2;
fori (i, N - 1) {
fori (j, (N + 1) / 2) {
fori (k, L) {
fori (c, 3) {
ll v = dp[i][j][k][c];
ll kk = k + (j * 2 + c) * (A[i + 1] - A[i]);
if (kk > L || v == 0) continue;
Add(dp[i + 1][j + 1][kk][c], v * (j + c));
Add(dp[i + 1][j - 1][kk][c], v * j);
Add(dp[i + 1][j ][kk][c], v * (j * 2 + c));
if (c) {
Add(dp[i + 1][j ][kk][c - 1], v * c);
Add(dp[i + 1][j + 1][kk][c - 1], v * c);
}
}
}
}
}
ll ans = 0;
fori (k, L + 1) Add(ans, dp[N - 1][0][k][0]);
cout << ans << '\n';
}
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