Problem:
Score : 500 points

Problem Statement

There are N cards placed face down in a row. On each card, an integer 1 or 2 is written.

Let A_i be the integer written on the i-th card.

Your objective is to guess A_1, A_2, ..., A_N correctly.

You know the following facts:

For each i = 1, 2, ..., M, the value A_{X_i} + A_{Y_i} + Z_i is an even number.

You are a magician and can use the following magic any number of times:

Magic: Choose one card and know the integer A_i written on it. The cost of using this magic is 1.

What is the minimum cost required to determine all of A_1, A_2, ..., A_N?

It is guaranteed that there is no contradiction in given input.

Constraints

All values in input are integers.

2 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq X_i < Y_i \leq N

1 \leq Z_i \leq 100

The pairs (X_i, Y_i) are distinct.

There is no contradiction in input. (That is, there exist integers A_1, A_2, ..., A_N that satisfy the conditions.)

Input

Input is given from Standard Input in the following format:

N M
X_1 Y_1 Z_1
X_2 Y_2 Z_2
\vdots
X_M Y_M Z_M

Output

Print the minimum total cost required to determine all of A_1, A_2, ..., A_N.

Sample Input 1

3 1
1 2 1

Sample Output 1

2

You can determine all of A_1, A_2, A_3 by using the magic for the first and third cards.

Sample Input 2

6 5
1 2 1
2 3 2
1 3 3
4 5 4
5 6 5

Sample Output 2

2

Sample Input 3

100000 1
1 100000 100

Sample Output 3

99999

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

require 'continuation'

def dfs(node, edges, known)
  stack = []
  while catch(:recur) {
          known[node] = true
          edges[node].each do |other|
            unless known[other]
              callcc { |c| stack.push(c) }
              node = other
              throw :recur, true
            end
          end
          if stack.empty?
            false
          else
            stack.pop.call
          end
        }
  end
end

n, m = gets.split.map(&:to_i)
table = m.times.map { gets.split.map(&:to_i) }
known = Array.new(n)
edges = Hash.new { [] }

table.each do |x, y, z|
  x -= 1
  y -= 1
  edges[x] <<= y
  edges[y] <<= x
end

cost = 0
(0...n).each do |i|
  unless known[i]
    cost +=1

    dfs(i, edges, known)
  end
end
puts cost