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
    ],
    "33": [
        2,
        -1
    ],
    "243": [
        3,
        0
    ],
    "244": [
        3,
        -1
    ],
    "275": [
        3,
        -2
    ],
    "1024": [
        4,
        0
    ],
    "1025": [
        4,
        -1
    ],
    "1056": [
        4,
        -2
    ],
    "1267": [
        4,
        -3
    ],
    "3125": [
        5,
        0
    ],
    "3126": [
        5,
        -1
    ],
    "3157": [
        5,
        -2
    ],
    "3368": [
        5,
        -3
    ],
    "4149": [
        5,
        -4
    ],
    "7776": [
        6,
        0
    ],
    "7777": [
        6,
        -1
    ],
    "7808": [
        6,
        -2
    ],
    "8019": [
        6,
        -3
    ],
    "8800": [
        6,
        -4
    ],
    "10901": [
        6,
        -5
    ],
    "16807": [
        7,
        0
    ],
    "16808": [
        7,
        -1
    ],
    "16839": [
        7,
        -2
    ],
    "17050": [
        7,
        -3
    ],
    "17831": [
        7,
        -4
    ],
    "19932": [
        7,
        -5
    ],
    "24583": [
        7,
        -6
    ],
    "32768": [
        8,
        0
    ],
    "32769": [
        8,
        -1
    ],
    "32800": [
        8,
        -2
    ],
    "33011": [
        8,
        -3
    ],
    "33792": [
        8,
        -4
    ],
    "35893": [
        8,
        -5
    ],
    "40544": [
        8,
        -6
    ],
    "49575": [
        8,
        -7
    ],
    "59049": [
        9,
        0
    ],
    "59050": [
        9,
        -1
    ],
    "59081": [
        9,
        -2
    ],
    "59292": [
        9,
        -3
    ],
    "60073": [
        9,
        -4
    ],
    "62174": [
        9,
        -5
    ],
    "66825": [
        9,
        -6
    ],
    "75856": [
        9,
        -7
    ],
    "91817": [
        9,
        -8
    ],
    "100000": [
        10,
        0
    ],
    "100001": [
        10,
        -1
    ],
    "100032": [
        10,
        -2
    ],
    "100243": [
        10,
        -3
    ],
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        10,
        -4
    ],
    "103125": [
        10,
        -5
    ],
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        10,
        -6
    ],
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        10,
        -7
    ],
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        10,
        -8
    ],
    "159049": [
        10,
        -9
    ],
    "161051": [
        11,
        0
    ],
    "161052": [
        11,
        -1
    ],
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        11,
        -2
    ],
    "161294": [
        11,
        -3
    ],
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        11,
        -4
    ],
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        11,
        -5
    ],
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        11,
        -6
    ],
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        11,
        -7
    ],
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        11,
        -8
    ],
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        11,
        -9
    ],
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        11,
        -10
    ],
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        12,
        0
    ],
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        12,
        -1
    ],
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        12,
        -2
    ],
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        12,
        -3
    ],
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        12,
        -4
    ],
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        12,
        -5
    ],
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        12,
        -6
    ],
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        12,
        -7
    ],
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        12,
        -8
    ],
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        12,
        -9
    ],
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        12,
        -10
    ],
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        12,
        -11
    ],
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        13,
        0
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        13,
        -1
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        13,
        -2
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        13,
        -3
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        13,
        -8
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        13,
        -9
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        13,
        -10
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        13,
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        99,
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        99,
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        99,
        -82
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        99,
        -83
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    "13692019923": [
        99,
        -84
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    "14214170675": [
        99,
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    "14494109706": [
        99,
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    "14787219667": [
        99,
        -88
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    "15093959948": [
        99,
        -89
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    "15414800499": [
        99,
        -90
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    "15750221950": [
        99,
        -91
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    "16100715731": [
        99,
        -92
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    "16466784192": [
        99,
        -93
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    "16848940723": [
        99,
        -94
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    "17247709874": [
        99,
        -95
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    "17663627475": [
        99,
        -96
    ],
    "18097240756": [
        99,
        -97
    ],
    "18549108467": [
        99,
        -98
    ]
}
x = input()
m = memo[x]
print(m[0], m[1])