Problem:
Score : 400 points

Problem Statement

Give a pair of integers (A, B) such that A^5-B^5 = X.
It is guaranteed that there exists such a pair for the given integer X.

Constraints

1 \leq X \leq 10^9

X is an integer.

There exists a pair of integers (A, B) satisfying the condition in Problem Statement.

Input

Input is given from Standard Input in the following format:

X

Output

Print A and B, with space in between.
If there are multiple pairs of integers (A, B) satisfying the condition, you may print any of them.

A B

Sample Input 1

33

Sample Output 1

2 -1

For A=2 and B=-1, A^5-B^5 = 33.

Sample Input 2

1

Sample Output 2

0 -1

Solution in JavaScript (Node.js 12.16.1) (judge verdict: Time Limit Exceeded)


function Main(input) {
    input = input.trim();
    // input = input.split("\n")
    // input = input.map(e => e.split(" ").map(f => parseInt(f)))
    X = parseInt(input);


    const array = []

    for(var i=0;i<50000;i++){
        array.push(Math.pow(i,5))
    }

var A = 0;
var B = 0;

    var breakFlag = false;
for(var i=0;i<array.length;i++){
    for(var j=0;j<array.length;j++){
        if(array[i]+array[j]==X){
            A = i
            B = j
        }
        if(array[i]-array[j]==X){
            A = i
            B = -j
        }
        if(-array[i]+array[j]==X){
            A = -i
            B = j
        }
        if(-array[i]-array[j]==X){
            A = -i
            B = -j
        }
    }
    if(breakFlag)break;
}

    console.log(A+" "+B)

}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));