The segments

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: x[1], y[1], x[2], y[2] (-1000 ≤ x[1], y[1], x[2], y[2] ≤ 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.

Examples