#include <bits/stdc++.h>
using namespace std;
template <typename T, typename T1>
T amax(T a, T1 b) {
  if (b > a) a = b;
  return a;
}
template <typename T, typename T1>
T amin(T a, T1 b) {
  if (b < a) a = b;
  return a;
}
template <typename T>
T amod(T a) {
  if (a < 0) a = -a;
  return a;
}
void solve() {
  long long int n, s, a, sum = 0;
  cin >> n >> s;
  long long int maxs = 0;
  for (long long int i = 0; i < n; i++) {
    cin >> a;
    sum += a;
    maxs = max(a, maxs);
  }
  if ((sum - maxs) <= s) {
    cout << "YES";
  } else {
    cout << "NO";
  }
}
int main() {
  long long int t;
  t = 1;
  while (t--) {
    solve();
  }
  return 0;
}
