Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

Areas on the Cross-Section Diagram

Your task is to simulate a flood damage.

For a given cross-section diagram, reports areas of flooded sections.

Assume that rain is falling endlessly in the region and the water overflowing from the region is falling in the sea at the both sides.
For example, for the above cross-section diagram, the rain will create floods which have areas of 4, 2, 1, 19 and 9 respectively.

Input

A string, which represents slopes and flatlands by '/', '\' and '_' respectively, is given in a line. For example, the region of the above example is given by a string "\\///\_/\/\\\\/_/\\///__\\\_\\/_\/_/\".

output

Report the areas of floods in the following format:

$A$

$k$ $L_1$ $L_2$ ... $L_k$

In the first line, print the total area $A$ of created floods.

In the second line, print the number of floods $k$ and areas $L_i (i = 1, 2, ..., k)$ for each flood from the left side of the cross-section diagram. Print a space character before $L_i$.

Constraints

$1 \leq$ length of the string $\leq 20,000$

Sample Input 1

\\//

Sample Output 1

4
1 4

Sample Input 2

\\///\_/\/\\\\/_/\\///__\\\_\\/_\/_/\

Sample Output 2

35
5 4 2 1 19 9

Solution in JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Stack;
/**
 * 境界部分には気をつける(そこだけ別で処理するというのもあり)
 * 逆再生することで簡単になることもある
 */
public class Main {
    public Main() {
    }

    public static void main(String[] args ) {
    		Main main = new Main();
    		main.exec();
    }

    public void exec() {
        BufferedReader bf = null;
        try{
            bf = new BufferedReader(new InputStreamReader(System.in));
            exec_body(bf);
        } catch (IOException e) {
			e.printStackTrace();
		}
        finally{
            if( bf != null ) {
                try {
					bf.close();
				} catch (IOException e) {
					e.printStackTrace();
				}
            }
        }
    }

    public String omitString( String line ) {
		ArrayList<String> charList = new ArrayList<>();
		// 計算に不要な部分を最初に除く
		boolean isFirst = true;
		for( int i = 0; i < line.length(); i++ ) {
			char ch = line.charAt(i);
			if( isFirst && ch == '/' ) {
				continue;
			}

			isFirst = false;
			charList.add(String.valueOf(ch));
		}

		isFirst = true;
		ArrayList<String> charList2 = new ArrayList<>();
		for( int i = charList.size() -1; i >= 0; i-- ) {
			String ch = charList.get(i);
			if( isFirst && ch == "\\" ) {
				continue;
			}

			isFirst = false;
			charList2.add(ch);
		}

		StringBuilder bd = new StringBuilder();
		for( int i = charList2.size() -1; i >= 0; i--  )
		{
			String ch = charList2.get(i);
			bd.append(ch);
		}

		return bd.toString();
    }

    public void exec_body( BufferedReader bf ) throws IOException {
    		String line = bf.readLine();
    		line = omitString(line);

    		Stack<Boolean> charStack = new Stack<>();
    		int dimension = 0;
    		ArrayList<Integer> dimensionList = new ArrayList<>();
    		for( int i = 0; i < line.length(); i++ ) {
    			char ch = line.charAt(i);
    			if( ch == '\\' ) {
    				dimension = dimension + 1 + 2 * charStack.size();
    				charStack.push(Boolean.TRUE);
    			} else if( ch == '_') {
    				dimension = dimension + 2 * charStack.size();
    			} else {
    				if( charStack.size() == 0 ) {
        				continue;
    				}

    				charStack.pop();
    				dimension = dimension + 1 + 2 * charStack.size();
    				if( charStack.size() != 0 ) {
    					continue;
    				}

    				// listに入れて初期化する
    				dimensionList.add(Integer.valueOf(dimension));
    				dimension = 0;
    			}
    		}
    		if( dimension != 0 ) {
    			// 逆から計算し直して、1つめの水たまりでやめる
        		charStack = new Stack<>();
        		dimension = 0;
    			for( int i = line.length() -1; i >= 0; i--) {
        			char ch = line.charAt(i);
        			if( ch == '/' ) {
        				dimension = dimension + 1 + 2 * charStack.size();
        				charStack.push(Boolean.TRUE);
        			} else if( ch == '_') {
        				dimension = dimension + 2 * charStack.size();
        			} else {
        				if( charStack.size() == 0 ) {
            				continue;
        				}

        				charStack.pop();
        				dimension = dimension + 1 + 2 * charStack.size();
        				if( charStack.size() != 0 ) {
        					continue;
        				}

        				break;
        			}
    			}
    			dimensionList.add(Integer.valueOf(dimension));
    		}

    		int sum = 0;
    		for( int i = 0; i < dimensionList.size(); i++ ) {
    			sum = sum + dimensionList.get(i);
    		}
    		System.out.println(sum/2);

    		// 結果を出力する
    		StringBuilder bd = new StringBuilder();
    		bd.append(dimensionList.size());
    		for( int i = 0; i < dimensionList.size(); i++ ) {
    			bd.append(" ");
    			bd.append(dimensionList.get(i)/2);
    		}
    		System.out.println(bd.toString());
    }
}