description: Alice gave Bob two integers a and b (a > 0 and b ≥ 0). Being a curious boy, Bob wrote down an array of non-negative integers with \operatorname{MEX} value of all elements equal to a and \operatorname{XOR} value of all elements equal to b.
  
  What is the shortest possible length of the array Bob wrote?
  
  Recall that the \operatorname{MEX} (Minimum EXcluded) of an array is the minimum non-negative integer that does not belong to the array and the \operatorname{XOR} of an array is the [bitwise XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of all the elements of the array.
  
  Input
  
  The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 5 ⋅ 10^4) — the number of test cases. The description of the test cases follows.
  
  The only line of each test case contains two integers a and b (1 ≤ a ≤ 3 ⋅ 10^5; 0 ≤ b ≤ 3 ⋅ 10^5) — the \operatorname{MEX} and \operatorname{XOR} of the array, respectively.
  
  Output
  
  For each test case, output one (positive) integer — the length of the shortest array with \operatorname{MEX} a and \operatorname{XOR} b. We can show that such an array always exists.
  
  Example
  
  Input
  
  
  5
  1 1
  2 1
  2 0
  1 10000
  2 10000
  
  
  Output
  
  
  3
  2
  3
  2
  3
  
  Note
  
  In the first test case, one of the shortest arrays with \operatorname{MEX} 1 and \operatorname{XOR} 1 is [0, 2020, 2021].
  
  In the second test case, one of the shortest arrays with \operatorname{MEX} 2 and \operatorname{XOR} 1 is [0, 1].
  
  It can be shown that these arrays are the shortest arrays possible.
solution: import java.io.*;
  import java.util.ArrayList;
  import java.util.Arrays;
  import java.util.StringTokenizer;
  import java.util.List;
   import java.util.*;
  public  class realfast implements Runnable 
    {
      private static final int INF = (int) 1e9;
      long in= 1000000007;
      long fac[]= new long[1000001];
      long inv[]=new long[1000001];
      public  void solve() throws IOException 
      {
         
         int t = readInt();
         int xor[]=new int[1000000];
         xor[0]=0;
         for(int i=1;i<1000000;i++)
         {
           xor[i]= (xor[i-1]^(i-1));
         }
         for(int f =0;f<t;f++)
         {
          int a = readInt();
          int b = readInt();
          int g = xor[a];
  
          int xor1 =g;
          
  
          if(g==b)
              out.println(a);
          else if((g^b)==a)
              out.println(a+2);
          else
              out.println(a+1);
  
         }
  
  
  
  
         
  
      }
      
  
     
     
      public long query(long seg[] , int left, int right , int index, int l , int r)
      {   
           long inf = 100000000;
           inf = inf*inf;
          if(left>=l&&right<=r)
          {
              return seg[index];
          }
          if(l>right||left>r)
              return inf;
          int mid = left+(right-left)/2;
          return Math.min(query(seg,left,mid,2*index+1,l,r),query(seg,mid+1,right,2*index+2,l,r));
  
      }
      
      public int value (int seg[], int left , int right ,int index, int l, int r)
      {
              
              if(left>right)
              {
                return -100000000;
              }
              if(right<l||left>r)
                  return -100000000;
              if(left>=l&&right<=r)
                  return seg[index];
              int mid = left+(right-left)/2;
              int val = value(seg,left,mid,2*index+1,l,r);
              int val2 = value(seg,mid+1,right,2*index+2,l,r);
              return Math.max(val,val2);
  
      }
     
      public int gcd(int a , int b )
      {
        if(a<b)
        {
          int t =a;
          a=b;
          b=t;
        }
        if(a%b==0)
          return b ;
        return gcd(b,a%b);
      }
      public long pow(long n , long p,long m)
      {
           if(p==0)
              return 1;
          long val = pow(n,p/2,m);;
          val= (val*val)%m;
          if(p%2==0)
              return val;
          else
              return (val*n)%m;
      }
      
      
      ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////
      public static void main(String[] args) {
          new Thread(null, new realfast(), "", 128 * (1L << 20)).start();
      }
   
      private static final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
      private BufferedReader reader;
      private StringTokenizer tokenizer;
      private PrintWriter out;
   
      @Override
      public void run() {
          try {
              if (ONLINE_JUDGE || !new File("input.txt").exists()) {
                  reader = new BufferedReader(new InputStreamReader(System.in));
                  out = new PrintWriter(System.out);
              } else {
                  reader = new BufferedReader(new FileReader("input.txt"));
                  out = new PrintWriter("output.txt");
              }
              solve();
          } catch (IOException e) {
              throw new RuntimeException(e);
          } finally {
              try {
                  reader.close();
              } catch (IOException e) {
                  // nothing
              }
              out.close();
          }
      }
   
      private String readString() throws IOException {
          while (tokenizer == null || !tokenizer.hasMoreTokens()) {
              tokenizer = new StringTokenizer(reader.readLine());
          }
          return tokenizer.nextToken();
      }
   
      @SuppressWarnings("unused")
      private int readInt() throws IOException {
          return Integer.parseInt(readString());
      }
   
      @SuppressWarnings("unused")
      private long readLong() throws IOException {
          return Long.parseLong(readString());
      }
   
      @SuppressWarnings("unused")
      private double readDouble() throws IOException {
          return Double.parseDouble(readString());
      }
  }
  class edge implements Comparable<edge>{
      int u ;
      int v;
      
      edge(int  u, int v)
      {
         this.u=u;
         this.v=v;
      }
      public int compareTo(edge e)
      {
          return this.v-e.v;
      }
  }