Numbers in Tables : Part 2

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Numbers in Tables : Part 2

Postby wustvn » Sun Oct 21, 2007 2:53 am

(Before you read this, you better read the former thread, in this forum, under the same tittle)
Continuing the first thread, now I'll give you more tables that are filled with numbers only 1 to 40, so it won't much hurt your eyes. Thus many rows are blank. I put the file in .xls format at: http://www.artofproblemsolving.com/Foru ... b0b192b6e4
Tables 1-20 in sheet #1 & #2, are same as before and have been corrected some (of mistyping), Tables 21-32 in sheet #3, Tables 33-44 in sheet #4,...,Tables 273-284 in sheet #24, Table Total Amount in sheet #25.
I name and arrange the tables just like that, though you can do else.
HAPPY PUZZLING...
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Postby wustvn » Tue Nov 06, 2007 8:42 am

The clues of this thread had been written at:
http://www.ocf.berkeley.edu/~wwu/cgi-bi ... 1192863624

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Postby Math Tutor » Tue Nov 06, 2007 9:28 am

Thank you!
The puzzle is very interesting!

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Postby wustvn » Thu Nov 08, 2007 3:36 am

teacher wrote:The puzzle is very interesting!

But it makes me headache.
PLEASE HELP ME TEACHERS...
(I know you don't need the small reward).

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Postby wustvn » Sun Nov 18, 2007 5:37 am

I need to write again here what I’ve been doing to this puzzle, though this had been written partly in other forum. I assume you guys have seen the file sept09A.xls.
I’m not a puzzle mania, this puzzle just disturbs my mind. So to those whoever interested in this puzzle, I THINK the tables in my explanation below are the “keys” of this puzzle because:
1).Their shapes are quite different from other tables, where numbers 1 to 40 are only in certain rows. Especially in Table 45, numbers 1 to 40 are only in rows 1 & 10. (This can also approve that this is not a random case. Do you guys agree with that?). Meanwhile for other tables, numbers 1 to 40 spread almost in rows 1 to 10.
2).These tables have similar shapes each other.
E.g:
Table 45 has similar shape with Table 49 & Table 53.
Table 57 has similar shape with Table 61 & Table 65.
Here below I think tables that have similar shapes:
45,57,69,81,93,105,117,129,141,153,165,177,189,201,213,225,237,249,261,2 73.
with
49,61,73,85,97,109,121,133,145,157,169,181,193,205,217,229,241,253,265,2 77.
and
53,65,77,89,101,113,125,137,149,161,173,185,197,209,221,233,245,257,269, 281.

These tables “themselves” look similar.
E.g:
Table 49 looks similar with Table 169.
Table 73 looks similar with Table 193.
Here below I think tables look similar:
49,73,97,121,145,53,77,101,125,149,57,81,105,129,153,61,85,109,133,157,6 5,89,113,137,161,69,93,117,141,45
with
169,193,217,241,265,173,197,221,245,269,177,201,225,249,273,181,205,229, 253,277,185,209,233,257,281,189,213,237,261,165

Next time I’ll try to explain more details about the gray areas (my approaching method) as shown in Table 1, sheet #1, file sept09A.xls.
Yeah, for its big sizes, this puzzle is really tough. Needs geniuses to crack it, at least above averages…

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Postby Math Tutor » Tue Nov 20, 2007 8:39 am

Thank you for the explanation!
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