Lines#1834

Lines

2 seconds
256 megabytes
Easy

Vasya has long been interested in -dimensional space. In math class, he learned that lines in three-dimensional space can coincide, be parallel, intersect, or be skew. After the lesson, the teacher secretly told him that in -dimensional space, the situation is exactly the same. Vasya wants to determine the relative positions of lines defined by two points.

Input

For each dataset, an integer (2 \leq n \leq 50) is given—the dimension of the space. Then integers—the coordinates of point p_1, then integers—the coordinates of point p_2, then integers each for p_3 and p_4. All coordinates are integers whose absolute value does not exceed . Numbers are separated by spaces and/or newlines.

The input ends when n = 0. The number of datasets does not exceed 10^4.

Output

For each dataset, output the relative position of the lines. If the lines intersect, output cross; if they are skew, output skew; if they are parallel, output parallel; if they coincide, output equal. Print each result on a separate line.

Examples

Example 1

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