Given the coordinates of the vertices of a triangle，And a point. You just need to judge whether the point is in the Triangle.

The input contains several test cases. For each test case, only line contains eight integer numbers , describing the coordinates of the triangle and the point. All the integer is in range of [-100  , 100].

For each test case ,if the point is inside of the triangle,please output the string ”YES”,else output the string “NO”. You just need to follow the following examples.