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

Input

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

Output

Print one of the next 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.