hdu1792

maksyuki 发表于 oj 分类,标签:
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A New Change Problem

Problem Description

Now given two kinds of coins A and B,which satisfy that GCD(A,B)=1.Here you can assume that there are enough coins for both kinds.Please calculate the maximal value that you cannot pay and the total number that you cannot pay.

Input

The input will consist of a series of pairs of integers A and B, separated by a space, one pair of integers per line.

Output

For each pair of input integers A and B you should output the the maximal value that you cannot pay and the total number that you cannot pay, and with one line of output for each line in input.

Sample Input

2 3

3 4

Sample Output

1 1

5 3

Author

lcy

 

题目类型:数论

算法分析:一个结论是:对于任意两个满足互质的a和b,其最大不能表示的数是a*b-(a+b),不能表示的数的个数是(a-1)*(b-1)/2