11228: HDU6184 - Counting Stars
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Description
Little A is an astronomy lover, and he has found that the sky was so beautiful!
So he is counting stars now!
There are n stars in the sky, and little A has connected them by m non-directional edges.
It is guranteed that no edges connect one star with itself, and every two edges connect different pairs of stars.
Now little A wants to know that how many different "A-Structure"s are there in the sky, can you help him?
An "A-structure" can be seen as a non-directional subgraph $G$, with a set of four nodes $V$ and a set of five edges $E$.
If $V=(A,B,C,D)$ and $E=(AB,BC,CD,DA,AC)$, we call $G$ as an "A-structure".
It is defined that "A-structure" $G_1=V_1+E_1$ and $G_2=V_2+E_2$ are same only in the condition that $V_1=V_2$ and $E_1=E_2$.
So he is counting stars now!
There are n stars in the sky, and little A has connected them by m non-directional edges.
It is guranteed that no edges connect one star with itself, and every two edges connect different pairs of stars.
Now little A wants to know that how many different "A-Structure"s are there in the sky, can you help him?
An "A-structure" can be seen as a non-directional subgraph $G$, with a set of four nodes $V$ and a set of five edges $E$.
If $V=(A,B,C,D)$ and $E=(AB,BC,CD,DA,AC)$, we call $G$ as an "A-structure".
It is defined that "A-structure" $G_1=V_1+E_1$ and $G_2=V_2+E_2$ are same only in the condition that $V_1=V_2$ and $E_1=E_2$.
Input
There are no more than $300$ test cases.
For each test case, there are $2$ positive integers $n$ and $m$ in the first line. $2≤n≤10^5,\ 1≤m≤\text{min}(2×10^5,\frac{n(n−1)}{2})$
And then $m$ lines follow, in each line there are two positive integers $u$ and $v$, describing that this edge connects node $u$ and node $v$. $1≤u,v≤n,\ \sum n≤3×10^5,\ \sum m≤6×10^5$.
For each test case, there are $2$ positive integers $n$ and $m$ in the first line. $2≤n≤10^5,\ 1≤m≤\text{min}(2×10^5,\frac{n(n−1)}{2})$
And then $m$ lines follow, in each line there are two positive integers $u$ and $v$, describing that this edge connects node $u$ and node $v$. $1≤u,v≤n,\ \sum n≤3×10^5,\ \sum m≤6×10^5$.
Output
For each test case, just output one integer--the number of different "A-structure"s in one line.
Sample 1 Input
4 5
1 2
2 3
3 4
4 1
1 3
4 6
1 2
2 3
3 4
4 1
1 3
2 4
Sample 1 Output
1
6