Some number of students, all of different heights, are lined up on a rectangular grid in rows and columns. The shortest students from each row forms a set that we will call the shortest students.
The tallest students from each column forms a set that we will call the tallest students. Then let T be the tallest student that is in the set of shortest students and let S be the shortest student that is in the set of tallest students. Which student is taller, T or S?
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