7. Problem: Place four numbers in the first row as follows
A B C D
For each successive row replace the entries by the absolute
value of the difference of the entry just above and the entry
just to the right in the previous
row. In the fourth position use the absolute value of the difference
of the fourth and the first (i.e. cycle)
|A-B| |B-C| |C-D| |D-A|
Will the process lead to a 0 in all 4 entries for some row?
What is the largest number of rows before a zero row is generated?
(If your answer is less than 10, you should try again)
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