+
+=
++=
+=
++++=
+===+=
++++++=
+=
++=
+=+===+=+=
++++++++++=
+===+=
Explain the pattern and find the next five rows.
Hint: the symbols I chose have nothing to do with the pattern.
Basically the + means same and = means different. First I noticed that there are at most as many characters as the number of the row. Then I noticed that all the primes followed the same pattern. (x-1) +'s and one =. From there I assumed that all the rows started out like that but then were changed depending on it's factors.
1) +
2) +=
3) ++=
4) +=
5) ++++=
6) +===+=
7) ++++++=
8) +=
9) ++=
10) +=+===+=+=
11) ++++++++++=
12) +===+=
13 is easy...
13) ++++++++++++=
with 14, I took the 2 factors of it and copied one over the other, then repeated the pattern until there were 14 characters. and where ever the columns matched 14 would get a +. If they were different it got a =
2) +=+=+=+=+=+=+=
7) ++++++=++++++=
14) +=+=+===+=+=+=
continuing, the other lines are...
15) ++=+==++==+=++=
16) +=
17) ++++++++++++++++=
and lastly, if it resulted in a repeating pattern (with square numbers or numbers that had factors that were square) then the pattern was just reduced. and for that one persont that wonder what 30 would be I got this using 2 3 5 6 10 15...
30) +=====+===+=+===+=+===+=====+=
...the one thing I don't get is why 1 doesn't fit the pattern. According to "(x-1) +'s and a =" 1 should just be a =.
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Posted by Danny
on 2004-05-16 17:13:20 |