A string of '0's and '1's is monotone increasing if it consists of some number of '0's (possibly 0), followed by some number of '1's (also possibly 0.) We are given a string S of '0's and '1's, and we may flip any '0' to a '1' or a '1' to a '0'. Return the minimum number of flips to make S monotone increasing. Example 1: Input: "00110" Output: 1 Explanation: We flip the last digit to get 00111. Example 2: Input: "010110" Output: 2 Explanation: We flip to get 011111, or alternatively 000111. Example 3: Input: "00011000" Output: 2 Explanation: We flip to get 00000000. Note: 1 <= S.length <= 20000 S only consists of '0' and '1' characters.