#include <bits/stdc++.h>
using namespace std;
const int inf = 2000000000;
static inline int Rint() {
  struct X {
    int dig[256];
    X() {
      for (int i = '0'; i <= '9'; ++i) dig[i] = 1;
      dig['-'] = 1;
    }
  };
  static X fuck;
  int s = 1, v = 0, c;
  for (; !fuck.dig[c = getchar()];)
    ;
  if (c == '-')
    s = 0;
  else if (fuck.dig[c])
    v = c ^ 48;
  for (; fuck.dig[c = getchar()]; v = v * 10 + (c ^ 48))
    ;
  return s ? v : -v;
}
template <typename T>
static inline void cmax(T& a, const T& b) {
  if (b > a) a = b;
}
template <typename T>
static inline void cmin(T& a, const T& b) {
  if (b < a) a = b;
}
int data[105];
int main() {
  int n = Rint(), s = Rint();
  for (int i = (0); i < (n); ++i) data[i] = Rint();
  int sum = accumulate(data, data + n, 0);
  int m = *max_element(data, data + n);
  puts(s >= sum - m ? "YES" : "NO");
  return 0;
}
