description: You are given four integer values a, b, c and m.
  
  Check if there exists a string that contains: 
  
    * a letters 'A'; 
    * b letters 'B'; 
    * c letters 'C'; 
    * no other letters; 
    * exactly m pairs of adjacent equal letters (exactly m such positions i that the i-th letter is equal to the (i+1)-th one). 
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of testcases.
  
  Each of the next t lines contains the description of the testcase — four integers a, b, c and m (1 ≤ a, b, c ≤ 10^8; 0 ≤ m ≤ 10^8).
  
  Output
  
  For each testcase print "YES" if there exists a string that satisfies all the requirements. Print "NO" if there are no such strings.
  
  You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES will all be recognized as positive answer).
  
  Example
  
  Input
  
  
  3
  2 2 1 0
  1 1 1 1
  1 2 3 2
  
  
  Output
  
  
  YES
  NO
  YES
  
  Note
  
  In the first testcase strings "ABCAB" or "BCABA" satisfy the requirements. There exist other possible strings.
  
  In the second testcase there's no way to put adjacent equal letters if there's no letter that appears at least twice.
  
  In the third testcase string "CABBCC" satisfies the requirements. There exist other possible strings.
solution: import java.io.BufferedReader;
  import java.io.IOException;
  import java.io.InputStreamReader;
  import java.util.Scanner;
  import java.util.StringTokenizer;
  import java.io.*;
  import java.util.*;
  import java.text.DecimalFormat;
  import java.math.*;
  
  public class Main {
  
  static int  mod = 1000000007;
  /*****************code By Priyanshu *******************************************/ 
  
      static class FastReader {
          BufferedReader br;
          StringTokenizer st;
  
  
          public FastReader()
          {
              br = new BufferedReader(
                  new InputStreamReader(System.in));
          }
  
          String next()
          {
              while (st == null || !st.hasMoreElements()) {
                  try {
                      st = new StringTokenizer(br.readLine());
                  }
                  catch (IOException e) {
                      e.printStackTrace();
                  }
              }
              return st.nextToken();
          }
  
          int nextInt() { return Integer.parseInt(next()); }
  
          long nextLong() { return Long.parseLong(next()); }
  
  
  
          double nextDouble()
          {
              return Double.parseDouble(next());
          }
  
          String nextLine()
          {
              String str = "";
              try {
                  str = br.readLine();
              }
              catch (IOException e) {
                  e.printStackTrace();
              }
              return str;
          }
      }
      // this > other return +ve
      // this < other return -ve
      // this == other return 0
       public static class Pair implements Comparable<Pair> {
        long st;
        long et;
  
        public Pair(long st, long et) {
           this.st = st;
           this.et = et;
        }
  
        public int compareTo(Pair other) {
           if (this.st != other.st) {
              return (int)(this.st - other.st);
           } else {
              return (int)(this.et - other.et);
           }
        }
     }
  
      static long fastPower(long a, long b, int n) {
              
              long res = 1;
              
              while ( b > 0) {
                  
                  if ( (b&1) != 0) {
                      res = (res * a % n) % n;
                  }
                  
                  a = (a % n * a % n) % n;
                  b =  b >> 1;
              }
              
              return res;
              
          }
  
       // function to find
      // the rightmost set bit
      static int PositionRightmostSetbit(int n)
      {
          // Position variable initialize
          // with 1 m variable is used to
          // check the set bit
          int position = 1;
          int m = 1;
   
          while ((n & m) == 0) {
   
              // left shift
              m = m << 1;
              position++;
          }
          return position;
      }
      
           // used for swapping ith and jth elements of array
        // public static void swap(int[] arr, int i, int j) {
        //   int temp = arr[i];
        //   arr[i] = arr[j];
        //   arr[j] = temp;
        // }
          public static void swap(long i, long j) {
          long temp = i;
          i = j;
          j = temp;
        }
  
  
      static boolean palindrome(String s) {
          return new StringBuilder(s).reverse().toString().equals(s);
      }
      
    static boolean isPerfectSquare(double x)
      {
              double sr = Math.sqrt(x);
              return ((sr * sr) == x);     
      }
  
  
   public static long gcd(long a, long b)
      {
        if (b == 0)
          return a;
        return gcd(b, a % b);
      }
      
     
  
     static int nod(long l) {
         if(l>=1000000000000000000l) return 19;
         if(l>=100000000000000000l) return 18;
         if(l>=10000000000000000l) return 17;
         if(l>=1000000000000000l) return 16;
         if(l>=100000000000000l) return 15;
         if(l>=10000000000000l) return 14;
         if(l>=1000000000000l) return 13;
         if(l>=100000000000l) return 12;
         if(l>=10000000000l) return 11;
         if(l>=1000000000) return 10;
         if(l>=100000000) return 9;
         if(l>=10000000) return 8;
         if(l>=1000000) return 7;
         if(l>=100000) return 6;
         if(l>=10000) return 5;
         if(l>=1000) return 4;
         if(l>=100) return 3;
         if(l>=10) return 2;
         return 1;
      }
        //Arrays.sort(a,(c,d) -> Integer.compare(c[0],d[0]));
  
      
      public static boolean areAllBitsSet(int n )
      {
          // all bits are not set
          if (n == 0)
              return false;
       
          // if true, then all bits are set
          if (((n + 1) & n) == 0)
              return true;
       
          // else all bits are not set
          return false;
      }
  
       public static long[] sort(long[] arr) {
          List<Long> temp = new ArrayList();
          for (long i : arr) temp.add(i);
          Collections.sort(temp);
          int start = 0;
          for (long i : temp) arr[start++] = i;
          return arr;
      }
     
   
  
          public static int[] radixSort2(int[] a)
      {
          int n = a.length;
          int[] c0 = new int[0x101];
          int[] c1 = new int[0x101];
          int[] c2 = new int[0x101];
          int[] c3 = new int[0x101];
          for(int v : a) {
              c0[(v&0xff)+1]++;
              c1[(v>>>8&0xff)+1]++;
              c2[(v>>>16&0xff)+1]++;
              c3[(v>>>24^0x80)+1]++;
          }
          for(int i = 0;i < 0xff;i++) {
              c0[i+1] += c0[i];
              c1[i+1] += c1[i];
              c2[i+1] += c2[i];
              c3[i+1] += c3[i];
          }
          int[] t = new int[n];
          for(int v : a)t[c0[v&0xff]++] = v;
          for(int v : t)a[c1[v>>>8&0xff]++] = v;
          for(int v : a)t[c2[v>>>16&0xff]++] = v;
          for(int v : t)a[c3[v>>>24^0x80]++] = v;
          return a;
      } 
  
      public static void print( int arr[] ){
          Arrays.stream(arr).forEach(str -> System.out.print(str + " "));
      }
  
  public void solve(int a , int b){
  
  
  }
  
  
  
    public static void main(
          String[] args)
      {
          try {
              System.setIn(new FileInputStream("input.txt"));
              System.setOut(new PrintStream(new FileOutputStream("output.txt")));
          } catch (Exception e) {
              System.err.println("Error");
          }
           
         FastReader sc = new FastReader();
          int t = Integer.parseInt(sc.next());
        // int t = 1;
         // StringBuilder ans = new StringBuilder();
    //  ArrayList<Integer> a = new ArrayList<>();
     
     while(t-->0){
  
      long a = sc.nextInt();
      long b = sc.nextInt();
      long c =  sc.nextInt();
      long m = sc.nextInt();
  
      int z[] = new int[5];
      Arrays.fill(z,0);
      radixSort2(z);
  
    if((a-1)>b+c+m || (b-1)>a+c+m || (c-1)>a+b+m)
              System.out.println("NO");
          else if(m <= (a+b+c-3)){
  
            System.out.println("YES");;
          }
          else {
            System.out.println("NO");
  
          }
    
    
  
  
  
  
  
  
   
  
      }
    }
  }
  
  
  
  
  
  
  //code By Priyanshu 
  
  