This is basically a math problem.
Let's assume there are num_j of Jumbo and num_s of Small Burger. Based on the problem description.:
tomatoSlices = num_j * 4 + num_s * 2 (1) cheeseSlices = num_j + num_s (2)
By (1) - 2 * (2), we can get,:
num_j = (1 / 2) * tomatoSlices - cheeseSlices
By 4 * (2) - (1), we can get,:
num_s = 2 * cheeseSlices - tomatoSlices / 2
Finally, we need to check if num_j, num_s are valid. The solution is valid if and only if each is greater or equal than 0 and it is an integer.
class Solution: def numOfBurgers(self, tomatoSlices: int, cheeseSlices: int) -> List[int]: num_j = tomatoSlices / 2 - cheeseSlices num_s = 2 * cheeseSlices - tomatoSlices / 2 if num_j < 0 or num_s < 0: return  if num_j != int(num_j) or num_s != int(num_s): return  return [int(num_j), int(num_s)]