#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
#pragma warning(disable : 4996)
const int N = 15, S = 3e4 + 5, MOD = 1e9 + 7;
int a[N], dp[N][2][2][N][S];
void f(int &a, int b) {
a += b;
if (a >= MOD)
a -= MOD;
}
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, l;
cin >> n >> l;
for (int i = 0; i < n; i++) {
cin >> a[i];
}
sort(a, a + n);
reverse(a, a + n);
dp[1][0][0][0][0] = 1;
dp[1][1][1][0][a[0] + a[0]] = 1;
dp[1][0][1][0][a[0]] = 1;
dp[1][1][0][0][a[0]] = 1;
for (int i = 1; i < n; i++) {
for (int x = 0; x < 2; x++) {
for (int y = 0; y < 2; y++) {
for (int j = 0; j < i; j++) {
for (int k = 0; k < S; k++) {
if (dp[i][x][y][j][k]) {
int cur = dp[i][x][y][j][k];
if (j) {
f(dp[i + 1][x][y][j][k], cur * j * 2 % MOD);
f(dp[i + 1][x][y][j + 1][k + a[i] + a[i]], cur * j % MOD);
f(dp[i + 1][x][y][j - 1][k - a[i] - a[i]], cur * j % MOD);
}
if (x) {
f(dp[i + 1][0][y][j][k - a[i]], cur);
f(dp[i + 1][1][y][j][k], cur);
f(dp[i + 1][0][y][j + 1][k + a[i]], cur);
f(dp[i + 1][1][y][j + 1][k + a[i] + a[i]], cur);
}
if (y) {
f(dp[i + 1][x][0][j][k - a[i]], cur);
f(dp[i + 1][x][1][j][k], cur);
f(dp[i + 1][x][0][j + 1][k + a[i]], cur);
f(dp[i + 1][x][1][j + 1][k + a[i] + a[i]], cur);
}
}
}
}
}
}
}
//for (int x = 0; x < 2; x++) {
// for (int y = 0; y < 2; y++) {
// for (int j = 0; j < 4; j++) {
// for (int k = 0; k < 15; k++) {
// cout << x << " " << y << " " << j << " " << k << " : " << dp[4][x][y][j][k] << "\n";
// }
// }
// }
//}
int ans = 0;
for (int i = 0; i <= l; i++) {
f(ans, dp[n][0][0][0][i]);
}
cout << ans;
return 0;
}
