100 atcoder#ABC068B. [ABC068B] Break Number
[ABC068B] Break Number
Score : points
Problem Statement
Takahashi loves numbers divisible by .
You are given a positive integer . Among the integers between and (inclusive), find the one that can be divisible by for the most number of times. The solution is always unique.
Here, the number of times an integer can be divisible by , is how many times the integer can be divided by without remainder.
For example,
- can be divided by once: -> .
- can be divided by three times: -> -> -> .
- can be divided by zero times.
Constraints
Input
Input is given from Standard Input in the following format:
Output
Print the answer.
7
4
can be divided by twice, which is the most number of times among , , ..., .
32
32
1
1
100
64