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A grid of people (Posted on 2002-07-09) Difficulty: 3 of 5
Imagine a "grid" of people: some number of people arranged in a number of rows and columns in a rectangular formation.

We designate person A as the shortest person in the group of the tallest people of each row. We then designate person B as the tallest person in the group of shortest people in each column.

Who is taller, A or B?

See The Solution Submitted by levik    
Rating: 3.5833 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Coordinate System | Comment 3 of 15 |
(In reply to re: Coordinate System by levik)

Yes, the can be in the same row or same column. They can even be the same person. Consider if they are lined up exactly by height: in an N x M grid, (R1, C1) is the shortest; (RM, CN) is the tallest; (R(m + 1),CN) is taller than (Rm,Cn); (R1,C(n + 1)) is taller than (RM,Cn).

The tallest person in each row m is (Rm,CN) and the shortest of these is (R1,CN); The shortest person in each column n is (R1,Cn) and the tallest of these is (R1,CN). So A = B = (R1,CN)
  Posted by TomM on 2002-07-09 02:40:03

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