Your program should output the number of points that are strictly inside the convex polygon.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

All a convex polygon given in clockwise order

The third line will contain 2 K integers representing K points in a Cartesian plane. Your program should output the number of points that are strictly inside the convex polygon.

Note: A point is strictly inside a polygon if it is not outside the polygon and doesn't touch any of the boundaries of the polygon.

Example:

Case 1:

For the input provided as follows:

Output of the program will be:

Description of the output:

Only the point (2,2) is inside the polygon, the other two points (0,1) and (4,2) are on the boundaries of the polygon.

Case 2:

For the input provided as follows:

Output of the program will be:

Description of the output:

All three points are on the boundaries of the polygon, as they are exactly the vertices of the triangle given.

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