Problem Link

Description


You are given a binary array nums.

You can do the following operation on the array any number of times (possibly zero):

  • Choose any 3 consecutive elements from the array and flip all of them.

Flipping an element means changing its value from 0 to 1, and from 1 to 0.

Return the minimum number of operations required to make all elements in nums equal to 1. If it is impossible, return -1.

 

Example 1:

Input: nums = [0,1,1,1,0,0]

Output: 3

Explanation:
We can do the following operations:

  • Choose the elements at indices 0, 1 and 2. The resulting array is nums = [1,0,0,1,0,0].
  • Choose the elements at indices 1, 2 and 3. The resulting array is nums = [1,1,1,0,0,0].
  • Choose the elements at indices 3, 4 and 5. The resulting array is nums = [1,1,1,1,1,1].

Example 2:

Input: nums = [0,1,1,1]

Output: -1

Explanation:
It is impossible to make all elements equal to 1.

 

Constraints:

  • 3 <= nums.length <= 105
  • 0 <= nums[i] <= 1

Solution


Python3

class Solution:
    def minOperations(self, nums: List[int]) -> int:
        N = len(nums)
        count = [0] * (N + 1)
        res = 0
        
        for i in range(N):
            if i - 1 >= 0:
                count[i] += count[i - 1]
                 
            if i < N - 2 and (nums[i] + count[i]) % 2 == 0:
                count[i] += 1
                count[i + 3] -= 1
                res += 1
                
            if (nums[i] + count[i]) % 2 == 0:
                return -1
        
        return res