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.math.*;
import java.util.*;

public class Main {
    static FastScanner in;
    static PrintWriter out;
    static final int MOD = 1000000007;

    public static void main(String[] args) throws IOException {
        //      Scanner in = new Scanner(new File("input.txt"));
        //        Scanner in = new Scanner(System.in);
        //        System.setOut(new PrintStream(new BufferedOutputStream(new FileOutputStream("output.txt")), true));
        out = new PrintWriter(System.out);
        in = new FastScanner(System.in);
        //        in = new FastScanner("input.txt");
        long a = in.nextLong();
        long b = in.nextLong();
        long cur = 1;
        boolean flag = true;
        while (a >= 0 && b >= 0) {
            if (flag)
                a -= cur;
            else
                b -= cur;
            flag = !flag;
            cur++;
        }
        if (a >= 0) {
            out.println("Valera");
        } else {
            out.println("Vladik");
        }
        out.close();
    }
}

class Pair {
    public int first; //first member of pair
    public int second; //second member of pair

    public Pair(int first, int second) {
        this.first = first;
        this.second = second;
    }

    public Pair() {

    }
}

class FastScanner {

    BufferedReader br;
    StringTokenizer tokenizer;

    FastScanner(String fileName) throws FileNotFoundException {
        this(new FileInputStream(new File(fileName)));
    }

    FastScanner(InputStream is) {
        br = new BufferedReader(new InputStreamReader(is));
    }

    String nextLine() throws IOException {
        tokenizer = null;
        return br.readLine();
    }

    String next() throws IOException {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            String line = br.readLine();
            if (line == null) {
                return null;
            }
            tokenizer = new StringTokenizer(line);
        }
        return tokenizer.nextToken();
    }

    int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    char nextChar() throws IOException {
        return next().charAt(0);
    }
}