Problem:
Score : 200 points

Problem Statement

You are given a positive integer X.
Find the largest perfect power that is at most X.
Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 and p is an integer not less than 2.

Constraints

1 ≤ X ≤ 1000

X is an integer.

Input

Input is given from Standard Input in the following format:

X

Output

Print the largest perfect power that is at most X.

Sample Input 1

10

Sample Output 1

9

There are four perfect powers that are at most 10: 1, 4, 8 and 9.
We should print the largest among them, 9.

Sample Input 2

1

Sample Output 2

1

Sample Input 3

999

Sample Output 3

961

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;
public class Main{
  public static void main (String args[]){
    Scanner sc = new Scanner(System.in);
    
    double a = sc.nextDouble();
    int aInt = (int) a;
    
    double sqrt = Math.sqrt(a);
    
    double cbrt = Math.cbrt(a);
    
    int b = 0;
    int ans = 0;
    
    if (sqrt < cbrt) {
      b = (int) cbrt;
      ans = b*b*b;
    } else {
      b = (int) sqrt;
      ans = b*b;
    }
    
    if (ans < 32 && 32 <= aInt){
      ans = 32;
    } else if (ans < 128 && 128 <= aInt){
      ans = 128;
    } else if (ans < 243 && 243 <= aInt){
      ans = 243;
    }
    
    System.out.println(ans);
    
  }
}