CF854B.Maxim Buys an Apartment

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题目描述

Maxim wants to buy an apartment in a new house at Line Avenue of Metropolis. The house has nn apartments that are numbered from 11 to nn and are arranged in a row. Two apartments are adjacent if their indices differ by 11 . Some of the apartments can already be inhabited, others are available for sale.

Maxim often visits his neighbors, so apartment is good for him if it is available for sale and there is at least one already inhabited apartment adjacent to it. Maxim knows that there are exactly kk already inhabited apartments, but he doesn't know their indices yet.

Find out what could be the minimum possible and the maximum possible number of apartments that are good for Maxim.

输入格式

The only line of the input contains two integers: nn and kk ( 1<=n<=1091<=n<=10^{9} , 0<=k<=n0<=k<=n ).

输出格式

Print the minimum possible and the maximum possible number of apartments good for Maxim.

输入输出样例

  • 输入#1

    6 3
    

    输出#1

    1 3
    

说明/提示

In the sample test, the number of good apartments could be minimum possible if, for example, apartments with indices 11 , 22 and 33 were inhabited. In this case only apartment 44 is good. The maximum possible number could be, for example, if apartments with indices 11 , 33 and 55 were inhabited. In this case all other apartments: 22 , 44 and 66 are good.

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