At regular competition Vladik and Valera won a and b candies respectively. Vladik offered 1 his candy to Valera. After that Valera gave Vladik 2 his candies, so that no one thought that he was less generous. Vladik for same reason gave 3 candies to Valera in next turn.

More formally, the guys take turns giving each other one candy more than they received in the previous turn.

This continued until the moment when one of them couldn’t give the right amount of candy. Candies, which guys got from each other, they don’t consider as their own. You need to know, who is the first who can’t give the right amount of candy.

Input

Single line of input data contains two space-separated integers a, b (1 ≤ a, b ≤ 109) — number of Vladik and Valera candies respectively.

Output

Pring a single line "Vladik’’ in case, if Vladik first who can’t give right amount of candy, or "Valera’’ otherwise.

Examples

Input

1 1


Output

Valera


Input

7 6


Output

Vladik

Note

Illustration for first test case:

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Illustration for second test case:

<image>
import java.io.*;
import java.util.*;

public class Solution{
  public static void main(String[] args) throws Exception {
      BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
      BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
      StringBuilder sb = new StringBuilder();
      //read input
      String[] in = br.readLine().split(" ");
      long s = Integer.parseInt(in[0]);
      long t = Integer.parseInt(in[1]);
      //init value of pattern
      long k = 0;
      while( s >= 0 && t >= 0){
        if(++k % 2 == 0){
          t -= k;
        } else {
          s  -= k;
        }
      }

      if(s < 0){
        sb.append("Vladik");
      } else if(t < 0){
        sb.append("Valera");
      }


      bw.write(sb.toString());
      bw.flush();

  }
  public static boolean anagramChecker(long prodA ,
    HashMap<Character,Integer> mp, String t){
    long prodB = 1;
    for(int i = 0; i < t.length(); i++){
      prodB *= mp.get(t.charAt(i));
    }
    if(prodA == prodB){
      return true;
    } else {
      return false;
    }
  }

}
