Problem Statement

We have a string X, which has an even number of characters. Half the characters are S, and the other half are T.
Takahashi, who hates the string ST, will perform the following operation 10^{10000} times:

• Among the occurrences of ST in X as (contiguous) substrings, remove the leftmost one. If there is no occurrence, do nothing.

Find the eventual length of X.

Input

The input is given from Standard Input in the following format:
X

Output

Print the eventual length of X.

Constraints

• 2 ≦ |X| ≦ 200,000
• The length of X is even.
• Half the characters in X are S, and the other half are T.

Sample Input 1

TSTTSS

Sample Output 1

4

In the 1-st operation, the 2-nd and 3-rd characters of TSTTSS are removed.
X becomes TTSS, and since it does not contain ST anymore, nothing is done in the remaining 10^{10000}-1 operations.
Thus, the answer is 4.

Sample Input 2

SSTTST

Sample Output 2

0

X will eventually become an empty string: SSTTST ⇒ STST ⇒ ST ⇒ ``.

Sample Input 3

TSSTTTSS

Sample Output 3

4

X will become: TSSTTTSS ⇒ TSTTSS ⇒ TTSS.

见题面 Input 部分

见题面 Output 部分