Alter Altar

An altar enshrines N stones arranged in a row from left to right. The color of the i-th stone from the left (1 \leq i \leq N) is given to you as a character c_i; R stands for red and W stands for white.

You can do the following two kinds of operations any number of times in any order:

• Choose two stones (not necessarily adjacent) and swap them.
• Choose one stone and change its color (from red to white and vice versa).

According to a fortune-teller, a white stone placed to the immediate left of a red stone will bring a disaster. At least how many operations are needed to reach a situation without such a white stone?

Constraints

• 2 \leq N \leq 200000
• c_i is R or W.

Input

Input is given from Standard Input in the following format:

N c_{1}c_{2}...c_{N}

Output

Print an integer representing the minimum number of operations needed.

Examples

Input

4 WWRR

Output

2

Input

2 RR

Output

0

Input

8 WRWWRWRR

Output

3

inputFormat

Input

Input is given from Standard Input in the following format:

N c_{1}c_{2}...c_{N}

outputFormat

Output

Print an integer representing the minimum number of operations needed.

Examples

Input

4 WWRR

Output

2

Input

2 RR

Output

0

Input

8 WRWWRWRR

Output

3

样例

2
RR

0