[Solution] Sort the String CodeChef Solution | Codechef Solution

[Solution] Sort the String CodeChef Solution | Codechef Solution

You have a binary string S$S$ of length N$N$. In one operation you can select a substring of S$S$ and reverse it. For example, on reversing the substring S[2,4]$S[2,4]$ for S=11000$S=11000$, we change 11000→10010$11000\to 10010$.

Find the minimum number of operations required to sort this binary string.
It can be proven that the string can always be sorted using the above operation finite number of

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 times.

Input Format

• The first line of input will contain a single integer T$T$, denoting the number of test cases.
• Each test case consists of 2$2$ lines of input.
  • The first line of each test case contains a single integer N$N$ — the length of the binary string.
  • The second line of each test case contains a binary string S$S$ of length N$N$.

Output Format

For each test case, output on a new line — the minimum number of operations requi

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red to sort the binary string.

Constraints

• 1≤T≤2⋅105$1\le T\le 2\cdot {10}^5$
• 1≤N≤2⋅105$1\le N\le 2\cdot {10}^5$
• Sum of N$N$ over all test cases does not exceed 106${10}^6$.
• String S$S$ consists of only '0$0$'s and '1$1$'s.