#include <bits/stdc++.h>
using namespace std;
void setup()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
int n, a[101], b, l;
long long f[101][101][1001][3], mod = 1e9 + 7, res;
inline void Add(long long &ina, long long inb)
{
ina = (ina + inb) % mod;
}
inline long long Mul(long long ina, long long inb)
{
return (ina * inb) % mod;
}
int main()
{
setup();
cin >> n >> l;
for (int i = 1; i <= n; ++i)
{
cin >> a[i];
}
sort(a + 1, a + n + 1);
f[0][0][0][0] = 1;
for (int i = 0; i < n; ++i)
{
for (int j = 0; j <= i; ++j)
{
for (int k = 0; k <= l; ++k)
{
for (int g = 0; g <= 2; ++g)
{
f[i][j][k][g] %= mod;
b = (a[i + 1] - a[i]) * (2 * j - g) + k;
if (b < 0 || b > l || f[i][j][k][g] == 0)
{
continue;
}
Add(f[i + 1][j + 1][b][g], Mul(f[i][j][k][g], j + 1 - g));
if (g < 2)
{
Add(f[i + 1][j + 1][b][g + 1], Mul(f[i][j][k][g], 2 - g));
}
if (j > 0)
{
Add(f[i + 1][j][b][g], Mul(f[i][j][k][g], 2 * j - g));
if (g < 2)
{
Add(f[i + 1][j][b][g + 1], Mul(f[i][j][k][g], 2 - g));
}
}
if (1 < j)
{
Add(f[i + 1][j - 1][b][g], Mul(f[i][j][k][g], j - 1));
}
}
}
}
}
for (int i = 0; i <= l; ++i)
{
res += f[n][1][i][2];
}
cout << res % mod;
return 0;
}
