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.util.Scanner;

public class Courtesy {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner in = new Scanner( System.in );
		
		int vladik = in.nextInt(); // candies for vladik
		int valera = in.nextInt(); // candies for valera
		
		int courtesy = 1; // how much candies a person gives at a time
		boolean vladiksTurn = true; // decide which person's turn it is
		String tus = "def"; // guy who can't give candy
		
		while( courtesy <= vladik && tus.equals("def") || courtesy <= valera && tus.equals("def") ) {	
			
			// deduct from vladik, in other words, give valera some of vladik's candies
			if( vladiksTurn ) {
				if( vladik < courtesy ) {
					tus = "Vladik";
					break;
				}
				
				vladik -= courtesy; // give candies
				vladiksTurn = false;
				
				if( vladik < 0 ) vladik = 0;
				
				//continue;
			}
			// valera's turn
			else {
				if( valera < courtesy ) {
					tus = "Valera";
					break;
				}
				
				valera -= courtesy;
				vladiksTurn = true;
				
				if( valera < 0 ) valera = 0;
				
				//continue;
			}
			
			courtesy++; // increase number of candies to be given by other guy
		}
		
		if( vladiksTurn && vladik < courtesy && tus.equals("def") ) tus = "Vladik";
		else if( !vladiksTurn && valera < courtesy && tus.equals("def") ) tus = "Valera";
		
		System.out.println(tus);
	}

}
