Problem10561--ABC120 —— C - Unification

10561: ABC120 —— C - Unification

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

There are $N$ cubes stacked vertically on a desk.

You are given a string $S$ of length $N$. The color of the $i$-th cube from the bottom is red if the $i$\-th character in $S$ is `0`, and blue if that character is `1`.

You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.

At most how many cubes can be removed?

Input

Input is given from Standard Input in the following format:

```
$S$
```

Output

Print the maximum number of cubes that can be removed.

Constraints

-   $1 \leq N \leq 10^5$
-   $|S| = N$
-   Each character in $S$ is `0` or `1`.

Sample 1 Input

0011

Sample 1 Output

4
All four cubes can be removed, by performing the operation as follows:
  • Remove the second and third cubes from the bottom. Then, the fourth cube drops onto the first cube.
  • Remove the first and second cubes from the bottom.

Sample 2 Input

11011010001011

Sample 2 Output

12

Sample 3 Input

0

Sample 3 Output

0

Source/Category