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>
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define uniq(x) x.erase(unique(all(x)), x.end())
#define rall(x) x.rbegin(), x.rend()
#define int long long
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;
void setIO() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
}
int32_t main() {
setIO();
int n, d;
cin >> n >> d;
vector<int> v(n);
for(int &x : v) cin >> x;
ll ans = 1;
sort(all(v));
for(int i=0; i<n; i++) {
int j=i;
int l=i, r=n-1;
while(l <= r) {
int mid = (l + r) / 2;
if(v[i] + d >= v[mid]) {
j = mid;
l = mid + 1;
} else r = mid - 1;
}
ans *= (j - i + 1);
ans %= mod;
}
cout << ans << '\n';
return 0;
}
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