Problem:
Score : 300 points

Problem Statement

There are N Reversi pieces arranged in a row. (A Reversi piece is a disc with a black side and a white side.)
The state of each piece is represented by a string S of length N.
If S_i=B, the i-th piece from the left is showing black;
If S_i=W, the i-th piece from the left is showing white.

Consider performing the following operation:

Choose i (1 \leq i < N) such that the i-th piece from the left is showing black and the (i+1)-th piece from the left is showing white, then flip both of those pieces. That is, the i-th piece from the left is now showing white and the (i+1)-th piece from the left is now showing black.

Find the maximum possible number of times this operation can be performed.

Constraints

1 \leq |S| \leq 2\times 10^5

S_i=B or W

Input

Input is given from Standard Input in the following format:

S

Output

Print the maximum possible number of times the operation can be performed.

Sample Input 1

BBW

Sample Output 1

2

The operation can be performed twice, as follows:

Flip the second and third pieces from the left.

Flip the first and second pieces from the left.

Sample Input 2

BWBWBW

Sample Output 2

6

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

using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;

class _Class
{
  void _Do()
  {
    var S = Console.ReadLine();
    var a = new int[S.Length];
    for (var i=0; i<S.Length; i++)
    {
      if (S[i] == 'B')
        a[i] = 1;
    }

    //
    int p = 0;

    for(var i=0;i<=S.Length-2;i++)
    {
      //
      for (; ; )
      {
        int f = 1;
        for (int ii = i; ; ii++)
        {
          if (ii==S.Length-1)
          {
            Console.WriteLine(p);
            return;
          }
          if (a[ii] == 1&&a[ii+1]==0)
          {
            p++;
            a[ii] = 0;
            a[ii + 1] = 1;
            if (f==1)  
              break;
            break;
          }
          f = 0;
        }
        if (f==1)
          break;
      }
    }
    Console.WriteLine(p);
  }

  static void Main(string[] args)
  {
    _(args);
    new _Class()._Do();
  }

  [Conditional("DEBUG")]
  static void _(string[] args)
  {
    if (args.Length != 0 && File.Exists(args[0]))
      Console.SetIn(new StreamReader(args[0]));
    else
      Console.Error.WriteLine("in");
  }
}

static class Split
{ 

  // 1
  public static string[] strings()
  {
    return Console.ReadLine().Split();
  }


  // [2.1] -2,147,483,648 ~ +2,147,483,647
  public static int[] ints()
  {
    var _s = Console.ReadLine().Split();

    var x = new int[_s.Length];
    for (var i = 0; i < _s.Length; i++)
      x[i] = int.Parse(_s[i]);

    return x;
  }

  // [2.2] 
  // -9,223,372,036,854,775,808 ~ 
  // +9,223,372,036,854,775,807
  public static long[] longs()
  {
    var _s = Console.ReadLine().Split();

    var x = new long[_s.Length];
    for (var i = 0; i < _s.Length; i++)
      x[i] = long.Parse(_s[i]);

    return x;
  }

  public static double[] doubles()
  {
    var _s = Console.ReadLine().Split();

    var x = new double[_s.Length];
    for (var i = 0; i < _s.Length; i++)
      x[i] = double.Parse(_s[i]);

    return x;
  }

  public static BigInteger[] bigs()
  {
    var _s = Console.ReadLine().Split();

    var x = new BigInteger[_s.Length];
    for (var i = 0; i < _s.Length; i++)
      x[i] = BigInteger.Parse(_s[i]);

    return x;
  }
}