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: Accepted)

import java.util.*;

class Main {
	public static void main(String[] args) {
		Scanner stdIn = new Scanner(System.in);
		String str = stdIn.next();
		int len = str.length();
		int[] level = new int[len+1];
		int top = 0;
		int bottom = 0;
		int nowLevel = 0;

		for (int i=0; i<len; i++) {
			char c = str.charAt(i);
			level[i] = nowLevel;
			if (c == '\' || c == '\\') {
				nowLevel--;
			}else if(c == '/'){
				nowLevel++;
			}
			top = Math.max(top,nowLevel);
			bottom = Math.min(bottom,nowLevel);
		}
		level[len] = nowLevel;
		top = Math.max(top,nowLevel);
		bottom = Math.min(bottom,nowLevel);

		boolean[] water = new boolean[len];
		Map<Integer,Integer> map = new HashMap<Integer,Integer>();
		int sum = 0;

		for (int i=top; i>bottom; i--) {//高さ
			int start = -1;
			for (int j=0; j<len; j++) {//幅
				if (!water[j]) {//水は入っているか
					if ((start==-1?level[j]:level[j+1]) == i) {//levelの一致
						if (start == -1 && level[j]>level[j+1]) {//startが設定されているか '\'であるか
							start = j;
						}else if(start != -1){
							int count = 0;//傾斜数
							int vol = 0;
							for (int k=start; k<j+1; k++) {//面積計算
								vol += Math.abs(level[start] - Math.max(level[k],level[k+1]));
								if(Math.abs(level[k] - level[k+1]) > 0)
									count++;
								water[k] = true;//水を入れる
							}
							vol += count/2;
							sum += vol;//総面積に足す
							map.put(start,vol);
							start = -1;
						}
					}
				}
			}
		}

		System.out.println(sum);
		System.out.print(map.size());
		for (int i=0; map.size()!=0; i++) {
			if(map.containsKey(i)){
				System.out.print(" "+map.get(i));
				map.remove(i);
			}
		}
		System.out.println();
	}
}