#include <bits/stdc++.h>
using namespace std;
const int inf = int(1e9) + 123;
int main() {
  int n, v;
  cin >> n >> v;
  vector<int> a;
  for (int i = 1; i <= n; i++) {
    int x;
    cin >> x;
    a.push_back(x);
  }
  sort(a.begin(), a.end());
  int sum = 0;
  for (int i = 0; i < a.size() - 1; i++) {
    sum += a[i];
  }
  if (sum <= v) {
    cout << "YES";
  } else {
    cout << "NO";
  }
  return 0;
}
