201060: [AtCoder]ARC106 A - 106
Memory Limit:1024 MB
Time Limit:2 S
Judge Style:Text Compare
Creator:
Submit:0
Solved:0
Description
Score : $300$ points
Problem Statement
Given is an integer $N$. Determine whether there is a pair of positive integers $(A, B)$ such that $3^A + 5^B = N$, and find one such pair if it exists.
Constraints
- $1 \leq N \leq 10^{18}$
- All values in input are integers.
Input
Input is given from Standard Input in the following format:
$N$
Output
If there is no pair $(A, B)$ that satisfies the condition, print -1
.
If there is such a pair, print $A$ and $B$ of one such pair with space in between. If there are multiple such pairs, any of them will be accepted.
Sample Input 1
106
Sample Output 1
4 2
We have $3^4 + 5^2 = 81 + 25 = 106$, so $(A, B) = (4, 2)$ satisfies the condition.
Sample Input 2
1024
Sample Output 2
-1
Sample Input 3
10460353208
Sample Output 3
21 1