CF719B.Anatoly and Cockroaches

普及/提高-

通过率:0%

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题目描述

Anatoly lives in the university dorm as many other students do. As you know, cockroaches are also living there together with students. Cockroaches might be of two colors: black and red. There are nn cockroaches living in Anatoly's room.

Anatoly just made all his cockroaches to form a single line. As he is a perfectionist, he would like the colors of cockroaches in the line to alternate. He has a can of black paint and a can of red paint. In one turn he can either swap any two cockroaches, or take any single cockroach and change it's color.

Help Anatoly find out the minimum number of turns he needs to make the colors of cockroaches in the line alternate.

输入格式

The first line of the input contains a single integer nn ( 1<=n<=1000001<=n<=100000 ) — the number of cockroaches.

The second line contains a string of length nn , consisting of characters 'b' and 'r' that denote black cockroach and red cockroach respectively.

输出格式

Print one integer — the minimum number of moves Anatoly has to perform in order to make the colors of cockroaches in the line to alternate.

输入输出样例

  • 输入#1

    5
    rbbrr
    

    输出#1

    1
    
  • 输入#2

    5
    bbbbb
    

    输出#2

    2
    
  • 输入#3

    3
    rbr
    

    输出#3

    0
    

说明/提示

In the first sample, Anatoly has to swap third and fourth cockroaches. He needs 11 turn to do this.

In the second sample, the optimum answer is to paint the second and the fourth cockroaches red. This requires 22 turns.

In the third sample, the colors of cockroaches in the line are alternating already, thus the answer is 00 .

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