Imagine a multiplication table (like the one below, except it continues on forever):
1 2 3 4
+---+---+---+---+---
1| 1 | 2 | 3 | 4 |...
+---+---+---+---+---
2| 2 | 4 | 6 | 8 |...
+---+---+---+---+---
3| 3 | 6 | 9 | 12|...
+---+---+---+---+---
4| 4 | 8 | 12| 16|...
+---+---+---+---+---
|...|...|...|...|...
Find three of the same number in a straight line somewhere within the table. If this is not possible, show why not.
(In reply to
Getting less rigorous (spoiler) by Steve Herman)
From your initial post, I thought the three 4's you were referring to are the 4 that is the product of the coefficients 2 and 2 and the two 4's that are of the coefficients themselves. These three 4's are not exactly in a straight line due to the table spacing and font selection, but if each number, including the coefficients, were placed in the middle of equally sized squares, they would be.
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Posted by Dej Mar
on 2006-07-08 20:34:14 |
re: Getting less rigorous (spoiler)
