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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"math"
)

func main() {
	var x float64
	fmt.Scan(&x)

	max := float64(1)
	bp := float64(0)
	for b := float64(1); b <= x; b++ {
		for p := float64(2); p <= x; p++ {
			bp = math.Pow(b, p)
			if x < bp {
				break
			}
			max = math.Max(max, bp)
		}
	}
	fmt.Println(max)
}