Problems
Sum And Product
Sum And Product
A list of non-negative numbers is called satisfactory if the sum of the numbers in the list is equal to s and the product of the numbers is equal to p. Find a satisfactory list with the least possible number of elements.
Input data
Each line is a separate test that contains two non-negative integers s and p (1 ≤ s, p ≤ 10^9
).
Output data
For each test case print in a separate line the size of satisfactory list with the least possible number of elements. If no such list exists, print -1 instead. Please note that the list may contain non-integer numbers.
Examples
Input example #1
10 10 5 6 5 100
Output example #1
1 2 -1