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#F1825. Vanya and Computer Game

    ID: 1831 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 5 上传者: 标签>二分模拟数学排序算法思想编程与模拟进阶难度共享题库Codeforces英文题面题目来源题面语言

Vanya and Computer Game

题目描述

D. Vanya and Computer Game
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Vanya and his friend Vova play a computer game where they need to destroy n monsters to pass a level. Vanya's character performs attack with frequency x hits per second and Vova's character performs attack with frequency y hits per second. Each character spends fixed time to raise a weapon and then he hits (the time to raise the weapon is 1/x seconds for the first character and 1/y seconds for the second one). The i-th monster dies after he receives ai hits.

Vanya and Vova wonder who makes the last hit on each monster. If Vanya and Vova make the last hit at the same time, we assume that both of them have made the last hit.

Input

The first line contains three integers n,x,y (1≤n≤105, 1≤x,y≤106) − the number of monsters, the frequency of Vanya's and Vova's attack, correspondingly.

Next n lines contain integers ai (1≤ai≤109)− the number of hits needed do destroy the i-th monster.

Output

Print n lines. In the i-th line print word "Vanya", if the last hit on the i-th monster was performed by Vanya, "Vova", if Vova performed the last hit, or "Both", if both boys performed it at the same time.

Examples
Input
4 3 2
1
2
3
4
Output
Vanya
Vova
Vanya
Both
Input
2 1 1
1
2
Output
Both
Both
Note

In the first sample Vanya makes the first hit at time 1/3, Vova makes the second hit at time 1/2, Vanya makes the third hit at time 2/3, and both boys make the fourth and fifth hit simultaneously at the time 1.

In the second sample Vanya and Vova make the first and second hit simultaneously at time 1.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1390 题。保留原作者与原赛事署名。