Problem:
Score : 300 points

Problem Statement

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?

Constraints

1 \leq N \leq 10^5

|S| = N

Each character in S is 0 or 1.

Input

Input is given from Standard Input in the following format:

S

Output

Print the maximum number of cubes that can be removed.

Sample Input 1

0011

Sample Output 1

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 Input 2

11011010001011

Sample Output 2

12

Sample Input 3

0

Sample Output 3

0

Solution in Fortran (GNU Fortran 9.2.1) (judge verdict: Time Limit Exceeded)

program answer
  implicit none
  integer :: i, j, N, ans, count
  character(len=10**5) :: S
  read(*,*) S
  N=len_trim(S)
  ans=0
  count=1
  do
     if(count==0) then
        exit
     end if
     count=0
     do i = 1, N-1
        if(S(i:i)=='2') then
           cycle
        else if(S(i:i)=='1') then
           do j = i+1, N
              if(S(j:j)=='2') then
                 cycle
              else if(S(j:j)=='1') then
                 exit
              else if(S(j:j)=='0') then
                 S(i:i)='2'
                 S(j:j)='2'
                 ans=ans+1
                 count=count+1
                 exit
              end if
           end do
        else
            do j = i+1, N
              if(S(j:j)=='2') then
                 cycle
              else if(S(j:j)=='0') then
                 exit
              else
                 S(i:i)='2'
                 S(j:j)='2'
                 ans=ans+1
                 count=count+1
                 exit
              end if
           end do         
        end if
     end do
  end do

  write(*,*) ans*2
  stop
 end program answer