Description
You are given two integers num1 and num2.
In one operation, you can choose integer i in the range [0, 60] and subtract 2i + num2 from num1.
Return the integer denoting the minimum number of operations needed to make num1 equal to 0.
If it is impossible to make num1 equal to 0, return -1.
Example 1:
Input: num1 = 3, num2 = -2 Output: 3 Explanation: We can make 3 equal to 0 with the following operations: - We choose i = 2 and substract 22 + (-2) from 3, 3 - (4 + (-2)) = 1. - We choose i = 2 and substract 22 + (-2) from 1, 1 - (4 + (-2)) = -1. - We choose i = 0 and substract 20 + (-2) from -1, (-1) - (1 + (-2)) = 0. It can be proven, that 3 is the minimum number of operations that we need to perform.
Example 2:
Input: num1 = 5, num2 = 7 Output: -1 Explanation: It can be proven, that it is impossible to make 5 equal to 0 with the given operation.
Constraints:
1 <= num1 <= 109-109 <= num2 <= 109
Solution
Python3
class Solution:
def makeTheIntegerZero(self, num1: int, num2: int) -> int:
for k in range(61):
target = num1 - k * num2
if target >= 0 and target.bit_count() <= k <= target:
return k
return -1