Order Dan

نویسنده

  • DAN CIUBOTARU
چکیده

Proof. There are three cases: (1) A and B are in the same column. Then, since in each column we picked the shortest student, A is shorter than B. (2) A and B are in the same row. Then, since in each row we picked the tallest student, B is taller than A. (3) A and B are neither in the same row, nor in the same column. Let C be a student who is in the same row as A and in the same column as B. Then by the same arguments as before, C is taller than A, but B is taller than C. This means that again B must be taller than A.

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تاریخ انتشار 2008