Problem:
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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.util.ArrayList;
import java.util.Scanner;

/**
 * ACSD
 */
public class Main {
    // 現在のx座標
    public int lineNumber;

    // 現在の 層別未確定水たまりスタック
    public int[] stack = new int[20000];
    // 未確定水たまり層の始点
    public int[] stackStart = new int[20000];
    // 確定水たまりリスト
    public int[] puddles = new int[10000];
    // 確定水たまり層の始点
    public int[] puddleStart = new int[10000];
    // 現在の確定水たまりIdx
    public int puddleNumber = 0;
    // 現在の深さ
    public int currentDepth = 0;
    // 前回の水たまり水面高
    public int prevPuddleHeight = -1;

    public int sum = 0;

    /**
     * 指定の層へ水を追加する
     *
     * @param idx       追加する層Idx
     * @param n         追加量
     * @param isConfirm 層確定操作を行うかどうか
     */
    public void add(int idx, int n, boolean isConfirm) {
        // 初出層の場合はstackに追加
        if (this.stack.length - 1 < idx) {
            this.stackStart[idx] = lineNumber;
        }
        // 追加動作
        this.stack[idx] += n;
        // 層確定操作
        if (isConfirm) {
            this.sum += this.stack[idx];
            // 現在の未確定水たまり層を、確定水たまりリストに移す
            this.puddles[puddleNumber] = this.stack[idx] / 2;
            // 追加した確定水たまりの始点も設置
            this.puddleStart[puddleNumber] = this.stackStart[idx];
            // 初回の層確定操作でない && 前回の層確定操作の1つ上位層の場合
            if ((prevPuddleHeight != -1) && ((prevPuddleHeight - 1) == idx)) {
                // 繰り上がり動作を行う
                // 各確定水たまりについて、初めて (現在の水たまりの始点) < (ある水たまり始点) となるものを探す
                int start = this.puddleStart[puddleNumber];
                for (int i = 0; i <= puddleNumber; i++) {
                    // (現在の水たまりの始点) < (ある水たまり始点) Hit!!
                    if (start < this.puddleStart[i]) {
                        // ある地点の水たまりを吸収
                        // はじめに始点を更新
                        this.puddleStart[i] = start;
                        // 次に、その間の水たまり量をすべて吸収
                        for (int j = i + 1; j <= puddleNumber; j++) {
                            this.puddles[i] += this.puddles[j];
                        }
                        for (int j = puddleNumber; j >= i + 1; j--) {
                            this.puddles[j] = 0;
                            this.puddleStart[j] = 0;
                        }
                        puddleNumber = i + 1;
                        break;
                    }
                }
            } else { // 繰り上がり動作を行わない場合
                puddleNumber++;
            }
            prevPuddleHeight = idx;
            this.stack[idx] = 0;
            this.stackStart[idx] = 0;
        }
    }

    public void up() {
        if (currentDepth == 0) {
            return;
        }
        currentDepth--;
        this.add(currentDepth, 1, true);
        for (int i = 0; i < currentDepth; i++) {
            this.add(i, 2, false);
        }
    }

    public void hori() {
        for (int i = 0; i < currentDepth; i++) {
            this.add(i, 2, false);
        }
    }

    public void down() {
        for (int i = 0; i < currentDepth; i++) {
            this.add(i, 2, false);
        }
        this.add(currentDepth, 1, false);
        currentDepth++;
    }

    public void print() {
        System.out.println(sum / 2);
        int len = puddleNumber;
        System.out.print(len);
        for (int i = 0; i < len; i++) {
            System.out.print(" " + this.puddles[i]);
        }
        System.out.println();
    }

    public void go() {
        Scanner sc = new Scanner(System.in);
        String line = sc.next();
        String[] strings = line.split("");
        for (int i = 0; i < strings.length; i++) {
            String s = strings[i];
            this.lineNumber = i;
            switch (s) {
            case "\\":
                this.down();
                break;
            case "_":
                this.hori();
                break;
            case "/":
                this.up();
                break;
            }
        }
        print();
    }

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