B_Combinatorics_Homework.cpp

#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define tr(it, a) for(auto it = a.begin(); it != a.end(); it++)
#define fo(i,n) for(ll i=0;i<n;i++)
#define all(v) v.begin(), v.end()
#define sortall(v) sort(all(v))
#define sortalld(v) sort(all(v),greater<ll>())
typedef pair<int, int>	pii;
typedef pair<ll, ll>	pl;
typedef vector<int> veci;
typedef vector<ll>  vecll;
typedef vector<pii>		vpii;
typedef vector<pl>		vpl;
const int mod = 1000000007;
int pow(int base, int exp) {base %= mod;int result = 1;while (exp > 0) {if (exp & 1) result = ((ll)result * base) % mod;base = ((ll)base * base) % mod;exp >>= 1;}return result;}
int T, P, Q, R, X, Y, U, V, N,M;
ll t, p, q, r, x, y, u, v, n, m,k,a,b,c;
int main() {
    ios_base::sync_with_stdio(0);
    cin >> t;
    while(t--)
    {
        cin >> a >> b >> c >> m;
        vecll v = {a, b, c};
        sortall(v);
        if (m > (a + b + c - 3))
            cout << "NO" << endl;
            else
            {
                x = v[2] - (v[0] + v[1] + 1);
                if (m >= x)
                    cout << "YES" << endl;
                    else
                        cout << "NO" << endl;
            }
    }
}