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



Sample input:
33


Sample output:
2 -1

Submission status: Runtime Error

Solution code:
memo = {
    "1": [
        1,
        0
    ],
    "32": [
        2,
        0
    ],
    "243": [
        3,
        0
    ],
    "1024": [
        4,
        0
    ],
    "3125": [
        5,
        0
    ],
    "7776": [
        6,
        0
    ],
    "16807": [
        7,
        0
    ],
    "32768": [
        8,
        0
    ],
    "59049": [
        9,
        0
    ],
    "100000": [
        10,
        0
    ],
    "161051": [
        11,
        0
    ],
    "248832": [
        12,
        0
    ],
    "371293": [
        13,
        0
    ],
    "537824": [
        14,
        0
    ],
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        15,
        0
    ],
    "1048576": [
        16,
        0
    ],
    "1419857": [
        17,
        0
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        18,
        0
    ],
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        19,
        0
    ],
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        20,
        0
    ],
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        21,
        0
    ],
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        22,
        0
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        23,
        0
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        24,
        0
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        25,
        0
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        26,
        0
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        27,
        0
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        28,
        0
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        29,
        0
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        32,
        0
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    ],
    "931932751542176": [
        986,
        0
    ],
    "936668172433707": [
        987,
        0
    ],
    "941422823431168": [
        988,
        0
    ],
    "946196763043949": [
        989,
        0
    ],
    "950990049900000": [
        990,
        0
    ],
    "955802742745951": [
        991,
        0
    ],
    "960634900447232": [
        992,
        0
    ],
    "965486581988193": [
        993,
        0
    ],
    "970357846472224": [
        994,
        0
    ],
    "975248753121875": [
        995,
        0
    ],
    "980159361278976": [
        996,
        0
    ],
    "985089730404757": [
        997,
        0
    ],
    "990039920079968": [
        998,
        0
    ],
    "995009990004999": [
        999,
        0
    ]
}

x = input()
m = memo[x]
print(m[0], m[1])