100 atcoder#ABC126E. [ABC126E] 1 or 2
[ABC126E] 1 or 2
Score : points
Problem Statement
There are cards placed face down in a row. On each card, an integer or is written.
Let be the integer written on the -th card.
Your objective is to guess correctly.
You know the following facts:
- For each , the value 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 written on it. The cost of using this magic is .
What is the minimum cost required to determine all of ?
It is guaranteed that there is no contradiction in given input.
Constraints
- All values in input are integers.
- The pairs are distinct.
- There is no contradiction in input. (That is, there exist integers that satisfy the conditions.)
Input
Input is given from Standard Input in the following format:
Output
Print the minimum total cost required to determine all of .
3 1
1 2 1
2
You can determine all of by using the magic for the first and third cards.
6 5
1 2 1
2 3 2
1 3 3
4 5 4
5 6 5
2
100000 1
1 100000 100
99999