1 #include<iostream>
 2 #include<cmath>
 3 #include<cstdio>
 4 #include<sstream>
 5 #include<cstdlib>
 6 #include<string>
 7 #include<string.h>
 8 #include<cstring>
 9 #include<algorithm>
10 #include<vector>
11 #include<map>
12 #include<set>
13 #include<stack>
14 #include<list>
15 #include<queue>
16 #include<ctime>
17 #include<bitset>
18 #include<cmath>
19 
20 #include <iomanip>
21 
22 #define eps 1e-6
23 #define INF 0x3f3f3f3f
24 #define PI acos(-1.0)
25 #define ll __int64
26 #define LL long long
27 
28 #define lson l,m,(rt<<1)
29 #define rson m+1,r,(rt<<1)|1
30 #define M 1000000007
31 
32 //#pragma comment(linker,"/STACK:102400000,102400000")
33 
34 //#define LOCAL_DEFINE
35 
36 using namespace std;
37 
38 
39 
40 int MAIN()
41 {
42     int s,n,k,i,sum,max;
43     while(cin>>n>>s)
44     {
45         sum=0;
46         max=-1;
47         for(i=0;i<n;i++)
48             {
49             cin>>k;
50             if(k>max) max=k;
51             sum+=k;
52             }
53         sum-=max;
54         if(sum<=s)
55             cout<<"YES"<<endl;
56             else cout<<"NO"<<endl;
57     }
58 return 0;
59 }
60 
61 int main() {
62     #ifdef LOCAL_DEFINE
63         freopen("input.txt", "rt", stdin);
64         freopen("output.txt", "wt", stdout);
65     #endif
66     ios :: sync_with_stdio(false);
67     cout << fixed << setprecision(16);
68 
69     #ifdef LOCAL_DEFINE
70         cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
71     #endif
72     return MAIN();
73 }