Preparing NOJ

Bridge

2000ms 262144K

Description:

Consider a 2 × n grid graph with nodes (x, y) where x ∈ {0, 1} and y ∈ {1, 2, ・ ・ ・ , n}. The initial graph has 3n - 2 edges connecting all pairs of adjacent nodes.
You need to maintain the graph with two types of different adjustments. The first one, denoted by “1 $$$x_0$$$ $$$y_0$$$ $$$x_1$$$ $$$y_1$$$”,adds an new edge between the nodes ($$$x_0, y_0$$$) and ($$$x_1, y_1$$$) which was not exist. The second one, denoted by“2 $$$x_0$$$ $$$y_0$$$ $$$x_1$$$ $$$y_1$$$”, erases an existed edge between the nodes ($$$x_0, y_0$$$) and ($$$x_1, y_1$$$).
It is sure that, for each adjustment, ($$$x_0, y_0$$$) and ($$$x_1, y_1$$$) were adjacent in the original grid graph. That is say thateither they share the same x coordinate and |$$$y_0 - y_1$$$| = 1, or they share the same y coordinate and |$$$x_0 - x_1$$$| = 1.
After each adjustment, we guarantee the connectedness of the graph and you need to calculate the number of bridges in the current graph.

Input:

The first line of input contains an integer T (1 ≤ T ≤ 1001) which is the total number of test cases. For each test case, the first line contains integers n (1 ≤ n ≤ 200000) and m (0 ≤ m ≤ 200000); n indicates the size of the graph
and m is the number of adjustments. Each of the following m lines contains an adjustment described as above.
Only one case satisfies n + m ≥ 2000.

Output:

For each test case, output m lines, each of which contains the number of bridges.

Sample Input:

2
4 8
2 0 3 1 3
2 0 2 1 2
2 0 4 1 4
1 0 2 1 2
1 0 3 1 3
2 0 1 1 1
1 0 4 1 4
2 1 2 1 3
6 2
2 1 2 1 3
2 0 4 0 5

Sample Output:

0
0
7
4
2
4
2
4
1
2

Info

HDU

Provider HDU

Origin 2017ACM/ICPC亚洲区沈阳站-重现赛(感谢东北大学)

Code HDU6218

Tags

Submitted 4

Passed 1

AC Rate 25%

Date 06/03/2019 16:56:27

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