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Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Statement

 Goal

According to Wikipedia (https://en.wikipedia.org/wiki/Dice):

"Opposite sides of a modern die traditionally add up to seven, requiring the 1, 2, and 3 faces to share a vertex. The faces of a die may be placed clockwise or counterclockwise about this vertex. If the 1, 2, and 3 faces run counterclockwise, the die is called "right-handed". If those faces run clockwise, the die is called "left-handed"."

You are given a die. You need to decide if it is right-handed or left-handed. If opposite sides don't add up to 7, we will say that the die is degenerate.
Input
The die is given as a 3-line string such as

1
2354
6

where the first and third lines have a whitespace in front. The arrangement contains all the numbers 1-6 exactly once.
Output
In a 1-line answer you need to output one of right-handed, left-handed and degenerate.
Constraints
Example
Input
 1
2354
 6
Output
right-handed

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