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 Ruby (judge verdict: Accepted)

S = gets.chomp
slopes = [0]
(0..(S.length-1)).each do |i|
    if S[i] == "/"
        slopes.push(slopes[-1]+1)
    elsif S[i] == "_"
        slopes.push(slopes[-1])
    else
        slopes.push(slopes[-1]-1)
    end
end

before_max = slopes[0]
left_s = ""
(0..S.length).each do |i|
    if slopes[i] >= before_max
        before_max = slopes[i]
        left_s = "0" + left_s
    else
        left_s = "1" + left_s
    end
end

before_max = slopes[-1]
right_s = ""
(0..S.length).to_a.reverse.each do |i|
    if slopes[i] >= before_max
        before_max = slopes[i]
        right_s = right_s + "0"
    else
        right_s = right_s + "1"
    end
end

s = (left_s.to_i(2) & right_s.to_i(2)).to_s(2).reverse + "0"

cnt = 0
surface = 0
area = 0
areas = []
(0..(s.length-1)).each do |i|
    if s[i] == "0"
        if area != 0
            areas.push(area)
            area = 0
        end
    else
        if area == 0
            cnt += 1
            surface = slopes[i-1]
            area = 1
        else
            area += (surface-slopes[i])
        end
    end
end

if areas.empty?
    puts 0
    puts 0
    exit
end

puts areas.inject(:+)
print "#{cnt} "
puts areas.join(" ")