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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using static System.Console;
using static System.Math;

namespace atcoder
{
    class Program
    {
        public T Min<T>(params T[] a)
        {
            if (a.Length == 0) return default(T);

            T min = a[0];
            for (int i = 1; i < a.Length; i++)
            {
                if ((dynamic)min > (dynamic)a[i]) min = a[i];
            }
            return min;
        }

        public T Max<T>(params T[] a)
        {
            if (a.Length == 0) return default(T);

            T max = a[0];
            for (int i = 1; i < a.Length; i++)
            {
                if ((dynamic)max < (dynamic)a[i]) max = a[i];
            }
            return max;
        }

        public T Lcm<T>(T a, T b)
        {
            return (dynamic)a * (dynamic)b / Gcd((dynamic)a, (dynamic)b);
        }

        public T Gcd<T>(T a, T b)
        {
            if ((dynamic)a < (dynamic)b)
                return Gcd(b, a);
            while ((dynamic)b != 0)
            {
                var remainder = (dynamic)a % (dynamic)b;
                a = b;
                b = remainder;
            }
            return a;
        }

        static void Main(string[] args)
        {
            if (args.Length > 0 && args[0] == "Debug")
            {
                while (true)
                    new Program().Solve(new ConsoleInput(In));
            }
            else new Program().Solve(new ConsoleInput(In));
        }

        public void Solve(ConsoleInput input)
        {
            var ins = input.Read;
            var s = ins.ToList();

            var count = 0;
            var changed = true;
            while (changed)
            {
                changed = false;
                for (var i = 0; i < s.Count - 1; i++)
                {
                    if (s[i] != s[i + 1])
                    {
                        s.RemoveAt(i + 1);
                        s.RemoveAt(i);
                        changed = true;
                        count += 2;
                    }
                }
            }

            WriteLine($"{count}");
        }
    }

    public class ConsoleInput
    {
        private readonly System.IO.TextReader _stream;
        private readonly char _separator;
        private Queue<string> inputStream;
        public ConsoleInput(System.IO.TextReader stream, char separator = ' ')
        {
            _separator = separator;
            _stream = stream;
            inputStream = new Queue<string>();
        }
        public string Read
        {
            get
            {
                if (inputStream.Count != 0) return inputStream.Dequeue();
                string[] tmp = _stream.ReadLine().Split(_separator);
                for (int i = 0; i < tmp.Length; ++i)
                    inputStream.Enqueue(tmp[i]);
                return inputStream.Dequeue();
            }
        }
        public string ReadLine { get { return _stream.ReadLine(); } }
        public int ReadInt { get { return int.Parse(Read); } }
        public long ReadLong { get { return long.Parse(Read); } }
        public double ReadDouble { get { return double.Parse(Read); } }
        public string[] ReadStrArray(long N) { var ret = new string[N]; for (long i = 0; i < N; ++i) ret[i] = Read; return ret; }
        public int[] ReadIntArray(long N) { var ret = new int[N]; for (long i = 0; i < N; ++i) ret[i] = ReadInt; return ret; }
        public long[] ReadLongArray(long N) { var ret = new long[N]; for (long i = 0; i < N; ++i) ret[i] = ReadLong; return ret; }
    }
}