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.

Constraints

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

Input

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

X

Output

Print the eventual length of X.

Examples

Input

TSTTSS

Output

4

Input

SSTTST

Output

0

Input

TSSTTTSS

Output

4

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