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A. Vladik and Courtesy

time limit per test

memory limit per test

input

output

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

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

don’t consider as their own. You need to know, who is the first who can’t give the right amount of candy.

Input

a, b (1 ≤ a, b ≤ 109) — number of Vladik and Valera candies respectively.

Output

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:

Illustration for second test case:

很简单，模拟这个过程就行。

#include<stdio.h>
int main()
{
    int a,b;
    scanf("%d%d",&a,&b);
    int s=1;
    while(1)
    {
        if(a-s<0)
        {
            printf("Vladik\n");break;
        }
        else
        {
            a-=s;
            s++;
        }
        if(b-s<0)
        {
            printf("Valera\n");break;
        }
        else
        {
            b-=s;s++;
        }
    }
    return 0;
}