This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//author: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
const int MOD = 1E9 + 7;
int dp[20][1 << 20];
int arr[20];
#define ONLINE_JUDGE
void solve() {
memset(dp, -1, sizeof(dp));
int n, d;
cin >> n >> d;
for(int i = 0; i < n; i++)
cin >> arr[i];
function <int(int, int)> f = [&](int last, int mask) -> int {
if(mask == (1 << n) -1)
return 1;
if(dp[last][mask] != -1)
return dp[last][mask];
int res = 0;
for(int i = 0; i < n; i++) {
if(!(mask & (1 << i)) && arr[i] <= d + arr[last]) {
(res += f(i, mask | (1 << i))) %= MOD;
}
}
return dp[last][mask] = res;
};
int res = 0;
for(int i = 0; i < n; i++) {
(res += f(i, (1 << i))) %= MOD;
}
cout << res;
return;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int t = 1; //cin >> t;
for(int i = 1; i <= t; i++) {
solve();
}
return 0;
}
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