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I have data in comparision forms:
a1 a2 1
a2 a3 1
a4 a5 1
a5 a6 1
a6 a7 1
a1 a5 1
a5 a2 1
a4 a1 1
a7 a8 0
above indicates ex. a2 is larger than a3 and a7 is same as a8.
First 2 lines also implies that a1 is larger than a3

I have to find where there is any comparision can be obtained or derived between given elements. ex. a3 and a6. ie.. whether a3 is larger , smaller or equal to a6 OR no relationship is defined yet between them.

The idea that comes to my mind is to find out all smaller elements than a3 and find out all larger elements and than check both array for a6.

Your suggestions will be helpful.

In reply to Sorting, given only comparisions by Anonymous Monk

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