There are N triangles given by six whole numbers, vertexes of a triangle
![](https://st.testna5.ru/images/6aa/6aa29540ff3ed7bf7e6b18492e522c3a.png)
. The triangles are allocated in the space with the following coordinates:
![](https://st.testna5.ru/images/ff7/ff758d374efd8d85965ea42b18f5f2dd.png)
. Thus the source data are as follows:
![](https://st.testna5.ru/images/a32/a32ffd26d8c75cc7704e78dbf45c72eb.png)
.
The number of dots with integral coordinates located within more than two triangles including their sides is as follows …