Two integer numbers are given; they are larger than 1 but smaller than 100. Sam and Peter are famous mathematicians living in different cities. Sam only knows the sum of the two numbers while Peter only knows the product of them. One day Sam gives a call to Peter:
- You have no chance to calculate my sum.
A bit later Peter calls him back:
- I know your sum.
In a few more minutes, Sam calls Peter again:
- I know your product.
The task is, of course, to find the two numbers.