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.io.BufferedReader;
  import java.io.IOException;
  import java.io.InputStreamReader;
  import java.io.OutputStreamWriter;
  import java.io.PrintWriter;
  import java.util.StringTokenizer;
  
  
  public class A_Median_Maximization {
  
          static Scanner in=new Scanner();
      
    static PrintWriter out=new PrintWriter( new OutputStreamWriter(System.out) );
     
    static int testCases;
      
    static long n,s;
    
    static void solve(){
        
        out.println( s/( (n/2)+1 ) );
        out.flush();
        
    }
    
      public static void main(String[] amit) throws IOException {
          
        testCases=in.nextInt();  
          
        for(int t=0;t<testCases;t++){
            
            n=in.nextLong();
            
            s=in.nextLong();
            
            solve();
            
        }
        
        in.close();
        
      }
   
         static class Scanner{
          
          BufferedReader in;
          StringTokenizer st;
  
          public Scanner() {
          
              in=new BufferedReader( new InputStreamReader(System.in) );
              
          }
          
          String next() throws IOException{
              
              while(st==null || !st.hasMoreElements()){
                  
                  st=new StringTokenizer(in.readLine());
                  
              }
              
              return st.nextToken();
              
          }
          
          int nextInt() throws IOException{
              
              return Integer.parseInt(next());
              
          }
          
          long nextLong() throws IOException{
              
              return Long.parseLong(next());
              
          }
          
          String nextLine() throws IOException{
              
              return in.readLine();
              
          }
          
          char nextChar() throws IOException{
              
              return next().charAt(0);
              
          }
          
          double nextDouble() throws IOException{
              
              return Double.parseDouble(next());
              
          }
          
          float nextFloat() throws IOException{
              
              return Float.parseFloat(next());
              
          }
          
          boolean nextBoolean() throws IOException{
              
              return Boolean.parseBoolean(next());
              
          }
          
          void close() throws IOException{
              
              in.close();
              
          }
          
      }
      
  }
  /*
  
  8
  1 5
  2 5
  3 5
  2 1
  7 17
  4 14
  1 1000000000
  1000000000 1
  
  
  */