description: YouKn0wWho has two even integers x and y. Help him to find an integer n such that 1 ≤ n ≤ 2 ⋅ 10^{18} and n mod x = y mod n. Here, a mod b denotes the remainder of a after division by b. If there are multiple such integers, output any. It can be shown that such an integer always exists under the given constraints.
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
  
  The first and only line of each test case contains two integers x and y (2 ≤ x, y ≤ 10^9, both are even).
  
  Output
  
  For each test case, print a single integer n (1 ≤ n ≤ 2 ⋅ 10^{18}) that satisfies the condition mentioned in the statement. If there are multiple such integers, output any. It can be shown that such an integer always exists under the given constraints.
  
  Example
  
  Input
  
  
  4
  4 8
  4 2
  420 420
  69420 42068
  
  
  Output
  
  
  4
  10
  420
  9969128
  
  Note
  
  In the first test case, 4 mod 4 = 8 mod 4 = 0.
  
  In the second test case, 10 mod 4 = 2 mod 10 = 2.
  
  In the third test case, 420 mod 420 = 420 mod 420 = 0.
solution: /* package codechef; // don't place package name! */
  
  import java.util.*;
  import java.lang.*;
  import java.io.*;
  /* Name of the class has to be "Main" only if the class is public. */
  public class Codechef
  {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; 
          } 
      } 
  //    static int mod = 998244353 ;
  //    static int N = 200005;
  //    static long factorial_num_inv[] = new long[N+1];
  //    static long natual_num_inv[] = new long[N+1];
  //    static long fact[] = new long[N+1];
  //    static void InverseofNumber() 
  //{ 
  //    natual_num_inv[0] = 1;
  //    natual_num_inv[1] = 1; 
  //    for (int i = 2; i <= N; i++) 
  //        natual_num_inv[i] = natual_num_inv[mod % i] * (mod - mod / i) % mod; 
  //} 
  //static void InverseofFactorial() 
  //{ 
  //    factorial_num_inv[0] = factorial_num_inv[1] = 1; 
    
  //    for (int i = 2; i <= N; i++) 
  //        factorial_num_inv[i] = (natual_num_inv[i] * factorial_num_inv[i - 1]) % mod; 
  //} 
  //static long nCrModP(long N, long R) 
  //{ 
  //    long ans = ((fact[(int)N] * factorial_num_inv[(int)R]) % mod * factorial_num_inv[(int)(N - R)]) % mod; 
  //    return ans%mod; 
  //}
      //static boolean prime[];
      //static void sieveOfEratosthenes(int n)
      //{
      //    prime = new boolean[n+1];
          
      //    for (int i = 0; i <= n; i++)
      //        prime[i] = true;
   
      //    for (int p = 2; p * p <= n; p++)
      //    {
      //        // If prime[p] is not changed, then it is a
      //        // prime
      //        if (prime[p] == true)
      //        {
      //            // Update all multiples of p
      //            for (int i = p * p; i <= n; i += p)
      //                prime[i] = false;
      //        }
      //    }
   
          
      //}
      
  	public static void main (String[] args) throws java.lang.Exception
  	{
      //    InverseofNumber();
      //    InverseofFactorial();
      //   fact[0] = 1; 
      //   for (long i = 1; i <= 2*100000; i++)
      //   { 
      //       fact[(int)i] = (fact[(int)i - 1] * i) % mod; 
      //   }
      
  		FastReader scan = new FastReader();
  		PrintWriter pw = new PrintWriter(System.out);
          int t = scan.nextInt();
          while(t-->0){
              long a = scan.nextLong();
              long b = scan.nextLong();
              if(a>b){
                  pw.println(a+b);
              }
              else if(a==b)
              pw.println(a);
              else{
                  pw.println(b-(b%a)/2);
              }
              pw.flush();
          }
      }
      
  //   static long gcd(long a,long b){
  //       if(a==0)
  //       return b;
  //       return gcd(b%a,a);
  //   }
  //   static long lcm(long a,long b){
  //       return (a/gcd(a,b))*b;
  //   }
  }
  //class Pair{
  //    Integer x,y;
  //    Pair(int x,int y){
  //        this.x = x;
  //        this.y = y;
  //    }
  //    public boolean equals(Object obj) {
  //        // TODO Auto-generated method stub
  //        if(obj instanceof Pair)
  //        {
  //            Pair temp = (Pair) obj;
  //            if(this.x.equals(temp.x) && this.y.equals(temp.y))
  //                return true;
  //        }
  //        return false;
  //    }
  
  //    @Override
  //    public int hashCode() {
  //        // TODO Auto-generated method stub
          
  //        return (this.x.hashCode() + this.y.hashCode());        
  //    }
  //}
  //class Compar implements Comparator<Pair>{
  //    public int compare(Pair p1,Pair p2){
  //        return p1.x-p2.x;
  //    }
  //}
  