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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(2): Solution plus | Comment 5 of 16 |
(In reply to re: Solution plus by Chris)

In answer to your question, Chris, I say there is nothing "illegal" about combining two or more digits (e.g. 12). The problem says to put + and - signs in the blanks, but it does not say one has to put them in all the blanks, so why limit myself?

Now then, if we consider the possibility that multiple digits may be combined in the equation, obviously one can achieve numbers greater than 45. The question becomes: what is the first positive integer that cannot be achieved?
  Posted by Bryan on 2003-05-21 09:16:50

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