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