#include <bits/stdc++.h>
using namespace std;
int main() {
  int n, a[100], s, sum = 0;
  cin >> n >> s;
  for (int i = 0; i < n; i++) cin >> a[i];
  sort(a, a + n);
  for (int i = 0; i < n - 1; i++) sum += a[i];
  if (sum <= s)
    cout << "YES\n";
  else
    cout << "NO\n";
  return 0;
}
