Buggy python submission (verdict: Time Limit Exceeded):
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2)

    b5 = a ** 5 - x # マイナスになる

    b = 0

    right = 0
    left = b5 - 10
    if x == 1:
        a = 0
        b = -1
    else:
        while 1:
            mid = (right + left) // 2

            if mid ** 5 > b5:
                right = mid - 1
            elif mid ** 5 < b5:
                left = mid + 1
            else:
                b = mid
                break

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()

Fixed submission:
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2) + 1

    b5 = a ** 5 - x

    if x == 1:
        a = 0
        b = -1
    elif b5 == 0:
        b = 0
    else:
        right = (10 ** 9)
        left = -1 * (10 ** 9)
        pre_right = (10 ** 9)
        pre_left = -1 * (10 ** 9)

        b = 0
        pre_mid = 10 ** 9
        while 1:
            mid = (right + left) // 2
            ans = mid ** 5
            # print(left, right)

            if ans > b5:
                right = mid - 1
            elif ans < b5:
                left = mid + 1
            else:
                b = mid
                break

            if [pre_right, pre_left] == [right, left]:
                a -= 1
                b5 = a ** 5 - x
                right = (10 ** 9)
                left = -1 * (10 ** 9)

            pre_right = right
            pre_left = left

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2)

    b5 = a ** 5 - x # マイナスになる

    b = 0

    right = 0
    left = -1 * (10 ** 9)
    if x == 1:
        a = 0
        b = -1
    else:
        while 1:
            mid = (right + left) // 2

            if mid ** 5 > b5:
                right = mid
            elif mid ** 5 < b5:
                left = mid
            else:
                b = mid
                break

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()

Fixed submission:
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2) + 1

    b5 = a ** 5 - x

    if x == 1:
        a = 0
        b = -1
    elif b5 == 0:
        b = 0
    else:
        right = (10 ** 9)
        left = -1 * (10 ** 9)
        pre_right = (10 ** 9)
        pre_left = -1 * (10 ** 9)

        b = 0
        pre_mid = 10 ** 9
        while 1:
            mid = (right + left) // 2
            ans = mid ** 5
            # print(left, right)

            if ans > b5:
                right = mid - 1
            elif ans < b5:
                left = mid + 1
            else:
                b = mid
                break

            if [pre_right, pre_left] == [right, left]:
                a -= 1
                b5 = a ** 5 - x
                right = (10 ** 9)
                left = -1 * (10 ** 9)

            pre_right = right
            pre_left = left

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2)

    b5 = a ** 5 - x
    b = 0

    if b5 != 0:
        while 1:
            b -= 1
            if b5 == (b ** 5):
                break

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()

Fixed submission:
import sys
from io import StringIO
import unittest
import math

def resolve():
    x = int(input())

    a = math.floor(x ** 0.2) + 1

    b5 = a ** 5 - x

    if x == 1:
        a = 0
        b = -1
    elif b5 == 0:
        b = 0
    else:
        right = (10 ** 9)
        left = -1 * (10 ** 9)
        pre_right = (10 ** 9)
        pre_left = -1 * (10 ** 9)

        b = 0
        pre_mid = 10 ** 9
        while 1:
            mid = (right + left) // 2
            ans = mid ** 5
            # print(left, right)

            if ans > b5:
                right = mid - 1
            elif ans < b5:
                left = mid + 1
            else:
                b = mid
                break

            if [pre_right, pre_left] == [right, left]:
                a -= 1
                b5 = a ** 5 - x
                right = (10 ** 9)
                left = -1 * (10 ** 9)

            pre_right = right
            pre_left = left

    print(a, b, sep=' ')


class TestClass(unittest.TestCase):
    def assertIO(self, input, output):
        stdout, stdin = sys.stdout, sys.stdin
        sys.stdout, sys.stdin = StringIO(), StringIO(input)
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = stdout, stdin
        self.assertEqual(out, output)
    def test_入力例_1(self):
        input = """33"""
        output = """2 -1"""
        self.assertIO(input, output)
    def test_入力例_2(self):
        input = """1"""
        output = """0 -1"""
        self.assertIO(input, output)

if __name__ == "__main__":
    # unittest.main()
    resolve()