/*
Author: Nguyen Chi Thanh - High School for the Gifted - VNU.HCM (i2528)
*/
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ull unsigned long long
#define ld long double
#define pii pair<int, int>
#define fi first
#define se second
#define __builtin_popcount __builtin_popcountll
#define all(x) (x).begin(), (x).end()
#define BIT(x, i) (((x) >> (i)) & 1)
#define MASK(x) ((1ll << (x)))
#define debug(a, l, r) for (int _i = (l); _i <= (r); ++_i) cout << (a)[_i] << ' '; cout << '\n';
const int MOD = 1e9;
void solve() {
int n, d; cin >> n >> d;
vector<int> a(n + 5);
for (int i = 1; i <= n; ++i) cin >> a[i];
sort(begin(a) + 1, begin(a) + n + 1);
int res = 1;
for (int i = 1; i <= n; ++i) {
int j = upper_bound(begin(a) + 1, begin(a) + n + 1, a[i] + d) - begin(a) - 1;
res *= (j - i + 1);
res %= MOD;
}
cout << res;
}
signed main() {
#ifdef NCTHANH
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(nullptr); cout.tie(nullptr);
solve();
return 0;
}
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