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: Time Limit Exceeded)

N, M = gets.strip.split(/ /).collect(&:to_i)

pairs = {}

appeared = {}

M.times{
	x, y, z = gets.strip.split(/ /).collect(&:to_i)
	
	if table = pairs[x]
		table[y] = true
	else
		pairs[x] = { y => true }
	end

	if table = pairs[y]
		table[x] = true
	else
		pairs[y] = { x => true }
	end
	
	if appeared[x] == nil
		appeared[x] = true
	end
	if appeared[y] == nil
		appeared[y] = true
	end
}

not_appeared = N - appeared.keys.length

group_count = 0
while cur = appeared.keys[0]
	appeared.delete(cur)
	queue = [cur]
	while cur = queue.pop
		pairs[cur].keys.each{|v|
			if appeared[v]
				appeared.delete(v)
				queue << v
			end
		}
	end
	
	group_count += 1
end

puts not_appeared + group_count