CF492D.Vanya and Computer Game

普及/提高-

通过率:0%

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题目描述

Vanya and his friend Vova play a computer game where they need to destroy nn monsters to pass a level. Vanya's character performs attack with frequency xx hits per second and Vova's character performs attack with frequency yy hits per second. Each character spends fixed time to raise a weapon and then he hits (the time to raise the weapon is 1/x1/x seconds for the first character and 1/y1/y seconds for the second one). The ii -th monster dies after he receives aia_{i} 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.

输入格式

Vanya and his friend Vova play a computer game where they need to destroy nn monsters to pass a level. Vanya's character performs attack with frequency xx hits per second and Vova's character performs attack with frequency yy hits per second. Each character spends fixed time to raise a weapon and then he hits (the time to raise the weapon is 1/x1/x seconds for the first character and 1/y1/y seconds for the second one). The ii -th monster dies after he receives aia_{i} 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.

输出格式

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

输入输出样例

  • 输入#1

    4 3 2
    1
    2
    3
    4
    

    输出#1

    Vanya
    Vova
    Vanya
    Both
    
  • 输入#2

    2 1 1
    1
    2
    

    输出#2

    Both
    Both
    

说明/提示

In the first sample Vanya makes the first hit at time 1/31/3 , Vova makes the second hit at time 1/21/2 , Vanya makes the third hit at time 2/32/3 , and both boys make the fourth and fifth hit simultaneously at the time 11 .

In the second sample Vanya and Vova make the first and second hit simultaneously at time 11 .

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