Alice has a binary string, B, of length n. She thinks a binary string is beautiful if and only if it doesn't contain the substring “010”.
In one step, Alice can change a 0 to a 1 (or vice-versa). Count and print the minimum number of steps needed to make Alice see the string as beautiful.
Input Format
The first line contains an integer, n (the length of binary string B).
The second line contains a single binary string, B, of length.
Constraint
- 1 <= n <= 100
- Each character in B E {0, 1}.
Output Format
Print the minimum number of steps needed to make the string beautiful.
Sample Input 0
7
0101010
Sample Output 0
2
Sample Input 1
5
01100
Sample Output 1
0
Sample Input 2
10
0100101010
Sample Output 2
3