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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:1Explanation:We flip the last digit to get 00111.

**Example 2:**

Input:"010110"Output:2Explanation:We flip to get 011111, or alternatively 000111.

**Example 3:**

Input:"00011000"Output:2Explanation:We flip to get 00000000.

**Note:**

`1 <= S.length <= 20000`

`S`

only consists of`'0'`

and`'1'`

characters.

All contents and pictures on this website come from the Internet and are updated regularly every week. They are for personal study and research only, and should not be used for commercial purposes. Thank you for your cooperation.