Please can you help me solve the following problem in pku online judge http://acm.pku.edu.cn/JudgeOnline/problem?id=1464 i am trying to solve it for more than two months and i cannot get any working solution. my solution uses matrix row operations to solve the system of linear equations but i know that it will fail to get a solution for the following test case for example, with only a single week's data:

Job 1 - 1 hour worked
Job 2 - 1 hour worked
Total paid: 2

Considering this only as a system of linear equations obviously gives no unique solution (1 equation, 2 unknowns). However, there is a unique solution if both of the hourly rates have to be positive integers.

Thanks