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Add down to One (Posted on 2003-05-21) Difficulty: 3 of 5
The numbers 0-9 are lined up in a row, like this:

0 1 2 3 4 5 6 7 8 9

You have to put in + and - signs in the blanks, so that in the end it will all equal 1.

Also, if possible, try to make expressions resulting in 0 and -1.

See The Solution Submitted by Jonathan Waltz    
Rating: 2.5000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution plus | Comment 4 of 17 |
(In reply to Solution plus by Bryan)

In response to Bryan's last line:

>>I think a good question now would be: what is the first
>>positive integer that cannot be achieved by adding + and -
>>signs to the digits 0 through 9?

the answer is 46 if I understand the question correctly. The highest number possible is 45 with all numbers added. Remember that: S = n(n+1)/2 where S is the sum of the first n digits.

BTW, I'm wondering about the legality of combining two digits together as in this post and the previous.
  Posted by Chris on 2003-05-21 08:58:39

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