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How many 1s? (Posted on 2004-07-26) Difficulty: 2 of 5
If I took all the numbers from one to one billion:
  1. How many of them contain at least one '1'?
  2. If I wrote them out in one long line, how many 1 digits would there be?

See The Solution Submitted by Thalamus    
Rating: 3.0000 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Wrong answer | Comment 9 of 16 |

That program took about 15 minutes to run.  :)

Well, I couldnt sleep last night because I knew my answer for part 2 was wrong.  I am sticking with my answer to part 1 because computer programs dont lie (if the program is written right that is)

Part 2:
From 0-999, there are 300 "1"s, and from 0-1 Billion, there are one million sets of (0-999) for each of the 3 groupings:

1,(GROUP1),(GROUP2),(GROUP3)

So, my next stab at part 2 is:  3*300*1,000,000 + 1 (for 1 billion) or 900,000,001


  Posted by Dustin Smith on 2004-07-31 08:29:43
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