Flip String to Monotone Increasing

A binary string is monotone increasing if it consists of some number of 0's (possibly none), followed by some number of 1's (also possibly none).

You are given a binary string s. You can flip s[i], changing it from 0 to 1 or from 1 to 0.

Return the minimum number of flips to make s monotone increasing.

Example 1
Inputs = "00110"
Output1
We flip the last digit to get 00111.
Example 2
Inputs = "010110"
Output2
We flip to get 011111, or alternatively 000111.

Constraints

  • 1 <= s.length <= 10^5
  • s[i] is either '0' or '1'.

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