https://codeforces.com/gym/580226/problem/B

#include<bits/stdc++.h>
#define lc p<<1
#define rc p<<1|1
#define INF 2e9
using namespace std;

#define endl '\n'
using ll = long long;
using pii = pair<ll, ll>;
const double PI = acos(-1);
const int N=1e4+10;

void solve(){
	ll a,b,c,m;
	cin>>a>>b>>c>>m;
	ll cnta=a-1,cntb=b-1,cntc=c-1;
	ll cnt=cnta+cntb+cntc;
//	ll lmi=max(max(cnta-(b+c),(ll)0),max(max((ll)0,cntb-(a+c)),max((ll)0,cntc-(a+b))));

	ll lmi=2*max(a,max(b,c))-a-b-c-1;

	if(m<=cnt&&m>=lmi) {
		cout<<"YES"<<endl;
	}
	else{
		cout<<"NO"<<endl;
	}

}


int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr), cout.tie(nullptr);
	
	int T = 1;
	cin>>T;
	while (T--) {
		solve();
	}
	
	return 0;
}