The segments

Two line segments are given on the plane. Each segment is parallel to either the X axis or the Y axis. Your task is to figure out how the segments intersect.

Input

Each of two input lines contains four integers: x1,y1, x2,y2 – the coordinates of segment endpoints. (-1000 ≤x1, y1, x2, y2 ≤ 1000).

Output

Print one of the words:

• "NO" – if the segments do not intersect;
• "POINT" – if the segments' intersection forms a point;
• "SEGMENT" – if the segments' intersection forms a line segment.