CF476A.Dreamoon and Stairs

普及/提高-

通过率:0%

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题目描述

Dreamoon wants to climb up a stair of nn steps. He can climb 11 or 22 steps at each move. Dreamoon wants the number of moves to be a multiple of an integer mm .

What is the minimal number of moves making him climb to the top of the stairs that satisfies his condition?

输入格式

The single line contains two space separated integers nn , mm ( 0<n<=10000,1<m<=100<n<=10000,1<m<=10 ).

输出格式

Print a single integer — the minimal number of moves being a multiple of mm . If there is no way he can climb satisfying condition print 1-1 instead.

输入输出样例

  • 输入#1

    10 2
    

    输出#1

    6
    
  • 输入#2

    3 5
    

    输出#2

    -1
    

说明/提示

For the first sample, Dreamoon could climb in 6 moves with following sequence of steps: {2, 2, 2, 2, 1, 1}.

For the second sample, there are only three valid sequence of steps {2, 1}, {1, 2}, {1, 1, 1} with 2, 2, and 3 steps respectively. All these numbers are not multiples of 5.

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