Gas tank

import math

i = int(input())
tmp = math.floor(math.sqrt(i) / 2.0)

def get_b(a, c):
    A = a
    B = a*a
    C = -c
    subsum = B*B - (4*A*C)
    if subsum < 0:
        return 0, 0
    f = -(B - math.sqrt(subsum)) / (2 * A)
    s = -(B + math.sqrt(subsum)) / (2 * A)
    if f > s:
        return math.floor(f), math.ceil(f)
    return math.floor(s), math.ceil(s)

best_a, best_b = 0, 0
best_vol = 0

for os in range(-100000, 100000):
    a = tmp+os
    if a <= 0:
        continue
    for b in get_b(a, i):
        vol = a*a*b + a*b*b
        if vol <= i and vol > best_vol:
            best_vol = vol
            best_a = a
            best_b = b

print(int(best_a), int(best_b))

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

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Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED

Test 31

Verdict: ACCEPTED

Test 32

Verdict: ACCEPTED

Test 33

Verdict: ACCEPTED

Test 34

Verdict: ACCEPTED

Test 35

Verdict: ACCEPTED

Test 36

Verdict: ACCEPTED

Test 37

Verdict: ACCEPTED

Test 38

Verdict: ACCEPTED

Test 39

Verdict: ACCEPTED

Test 40

Verdict: ACCEPTED

Test 41

Verdict: ACCEPTED

Test 42

Verdict: ACCEPTED

Test 43

Verdict: ACCEPTED

Test 44

Verdict: ACCEPTED

Test 45

Verdict: ACCEPTED

Test 46

Verdict: ACCEPTED

Test 47

Verdict: ACCEPTED

Test 48

Verdict: ACCEPTED

Test 49

Verdict: ACCEPTED

Test 50

Verdict: ACCEPTED

Test 51

Verdict: ACCEPTED

Test 52

Verdict: ACCEPTED

Test 53

Verdict: ACCEPTED

Test 54

Verdict: ACCEPTED

Test 55

Verdict: ACCEPTED

Test 56

Verdict: ACCEPTED

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Verdict: ACCEPTED

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Verdict: ACCEPTED

Test 59

Verdict: ACCEPTED

Test 60

Verdict: ACCEPTED

Test 61

Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

Test 75

Verdict: ACCEPTED

Test 76

Verdict: WRONG ANSWER

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Verdict: WRONG ANSWER

Test 78

Verdict: ACCEPTED

Test 79

Verdict: WRONG ANSWER

Test 80

Verdict: WRONG ANSWER