Counting Stars

Time Limit: 4000/2000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

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 $E_1=E_2$.

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.

$2\le n \le 10^5$, $1 \le m \le min(2 \times 10^5,\frac{n(n-1)}{2})$

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.

$1 \leq u,v \leq n$

$\sum{n} \leq 3 \times 10^5$,$\sum{m} \leq 6 \times 10^5$

Output

For each test case, just output one integer--the number of different "A-structure"s in one line.

Sample 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 Output

1 6

Hint

liuyiding

Source

2017ACM/ICPC广西邀请赛-重现赛(感谢广西大学)

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