#include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
using namespace std;

int main(){
    int n,s;
    cin >> n >> s;
    vector<int> a(n);
    for(int i = 0 ; i < n ; ++ i) cin >> a[i];
    sort(a.begin(),a.end());
    int sum = accumulate(a.begin(),a.end()-1,0);
    if(sum > s) cout<<"NO"<<endl;
    else cout<<"YES"<<endl;
    return 0;
}