Find all series of consecutive positive integers whose sum is exactly 10,000.
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What if we don't require the consecutive integers to (all) be positive?

(In reply to Brute force answer to first bit by fwaff)

Started brute forcing again, but then the lightbulb came on and it was obvious. The negatives are:

-9999, -9998,..., 10000

-1997, -1996,..., 2002

-387, -386,..., 412

-296, -295,..., 328

-17, -16,..., 142

Posted by fwaff on 2004-07-21 09:29:13