There are N triangles given by six whole numbers, vertexes of a triangle
![](https://st.testna5.ru/images/4ce/4ce0df118c91677ffcab244d86818306.png)
. The triangles are allocated in the space with the following coordinates:
![](https://st.testna5.ru/images/c9c/c9cb1b267f40c49e590c1383f691ed67.png)
. Thus the source data are as follows:
![](https://st.testna5.ru/images/82c/82c75cbe7e66155c5b7ca08ef37344e8.png)
.
The number of dots with integral coordinates located within more than two triangles including their sides is as follows …