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         | Robert Dawson  guest
 
 | Apr-13-06, 10:20 AM (EST) |  |  |  | "Broken Calculator Applet" 
 
 
      |  | A rider: is there a way to reach _any_ integer using the broken calculator? And how many more keys could break without preventing this?   -Robert DawsonMath & CS
 Saint Mary's University
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         | alexb   Charter Member
 1818 posts
 | Apr-13-06, 10:31 AM (EST) |  |        |  | 1.  "RE: Broken Calculator Applet" In response to message #0
 
 
 
      |  | This may be a non-trivial problem. The answer will depend on the sort of operations allowed. An absolute minimum comes from Alice's manner of counting 1 + 1 + 1 + 1 + ... which needs only one number key and one operation. Other trivial cases: 
  One number and addition + division (if the number is not 1)
 Two mutually prime numbers, addition + subtraction
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