You are given a binary string s, and an integer k.

In one operation, you must choose exactly k different indices and flip each '0' to '1' and each '1' to '0'.

Return the minimum number of operations required to make all characters in the string equal to '1'. If it is not possible, return -1.

 

Example 1:

Input: s = "110", k = 1

Output: 1

Explanation:

Example 2:

Input: s = "0101", k = 3

Output: 2

Explanation:

One optimal set of operations choosing k = 3 indices in each operation is:

Thus, the minimum number of operations is 2.

Example 3:

Input: s = "101", k = 2

Output: -1

Explanation:

Since k = 2 and s has only one '0', it is impossible to flip exactly k indices to make all '1'. Hence, the answer is -1.

 

Constraints: