description: You are given two positive integers n and s. Find the maximum possible median of an array of n non-negative integers (not necessarily distinct), such that the sum of its elements is equal to s.
  
  A median of an array of integers of length m is the number standing on the ⌈ {m/2} ⌉-th (rounding up) position in the non-decreasing ordering of its elements. Positions are numbered starting from 1. For example, a median of the array [20,40,20,50,50,30] is the ⌈ m/2 ⌉-th element of [20,20,30,40,50,50], so it is 30. There exist other definitions of the median, but in this problem we use the described definition.
  
  Input
  
  The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. Description of the test cases follows.
  
  Each test case contains a single line with two integers n and s (1 ≤ n, s ≤ 10^9) — the length of the array and the required sum of the elements.
  
  Output
  
  For each test case print a single integer — the maximum possible median.
  
  Example
  
  Input
  
  
  8
  1 5
  2 5
  3 5
  2 1
  7 17
  4 14
  1 1000000000
  1000000000 1
  
  
  Output
  
  
  5
  2
  2
  0
  4
  4
  1000000000
  0
  
  Note
  
  Possible arrays for the first three test cases (in each array the median is underlined):
  
    * In the first test case [\underline{5}] 
    * In the second test case [\underline{2}, 3] 
    * In the third test case [1, \underline{2}, 2] 
solution: import java.util.*;
  import java.io.*;
  import java.lang.*;
  
  public class Main {
      //input
      static out op = new out();
      static inp ip = new inp();
      static FastReader sc = new FastReader();
      static BufferedWriter output = new BufferedWriter( 
          new OutputStreamWriter(System.out));
      static long inf = (long)1e9+7;
     
     static long mod = (long)1e18+7;
     static long z = 0;
  
     static void sol() throws Exception{
        int n = ip.in();
          int s = ip.in();
          if(n == 1){
             op.sbln(s);
             return;
          }
         
          op.sbln(s/(n/2+1));
     }
     
     
     static long gcd(long a,long b){
       if(b==0)
       return a;
       return gcd(b,a%b);
     }
     
     public static void main(String[] args) throws Exception { 
         
        int t = ip.in();
        while(t-- > 0){
           sol();
        }
        op.output.flush();
      }
     //  static class Node implements Comparable<Node>{
     //     int data;
     //     int ind;
     //    //  Node left,right;
     //    //  Node(){
     //    //       left = null;
     //    //       right = null;
     //    //  }
     //     Node(int ind,int data){
     //          this.data = data;
     //          this.ind = ind;
     //     }
      
     //       @Override
     //       public int compareTo(Node o) {
     //           if(this.data == o.data)
     //           return this.ind - o.ind;
     //           // TODO Auto-generated method stub
     //           return this.data - o.data;
     //       }
     //  }
  }
  
  
  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; 
      }
  
  }
  class inp{
      FastReader sc = new FastReader();
      int in(){
          int a = sc.nextInt();
          return a;
      }
      long lin(){
          long a = sc.nextLong();
          return a;
      }
      char cin(){
          char c = sc.next().charAt(0);
          return c;
      }
      char[] cain(){
          char[] a = sc.nextLine().toCharArray();
          return a;
      }
      int[] arrin(int n){
          int [] arr = new int[n];
          for(int i=0;i<n;i++)
              arr[i] = in();
  
          return arr;
      }
      int[] mm_arr(int[] arr){
          int max = Integer.MIN_VALUE;
          int min = Integer.MAX_VALUE;
          for(int i=0;i<arr.length;i++){
              max = Math.max(max,arr[i]);
              min = Math.min(min,arr[i]);
          }
          int ans[] = {max,min};
          return ans;
      }
      int[] srt(int[] arr){
          Arrays.sort(arr);
          return arr;
      }
      long pow(long a,long b){
          if(b == 0)return 1;
          long res = pow(a,b/2);
          //System.out.println(res + " " + b + " " + (b&1));
          if((b&1) == 0)return res*res;
          return a*res*res; 
      }
  
     //  boolean[] prime(){
     //     boolean prime[] = new boolean[100000001];
     //     Arrays.fill(prime,true);
     //     for (int p = 2; p * p <= 10000000; p++)
     //     {
     //          // If prime[p] is not changed,
     //          // then it is a prime
     //          if (prime[p] == true)
     //          {
     //              // Update all multiples
     //              // of p greater than or
     //              // equal to the square of it
     //              // numbers which are multiple
     //              // of p and are less than p^2
     //              // are already been marked.
     //              for (int i = p * p; i <= 10000000; i += p)
     //                 prime[i] = false;
     //          }
     //     }
     //     return prime;
     //  }
  }
  class out{
      BufferedWriter output = new BufferedWriter( 
          new OutputStreamWriter(System.out)); 
  
      void sb(String s) throws IOException {
          output.write(s);
      }
      void sbln(Object s) throws IOException {
          output.write(s+"\n");
      }
      void yes() throws IOException{
          output.write("YES\n");
      }
      void no() throws IOException{
          output.write("NO\n");
      }
  }