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Digital Combo-Lock (Posted on 2010-12-30) Difficulty: 4 of 5

No Solution Yet Submitted by brianjn    
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a method | Comment 2 of 6 |

Although this is undoubtedly not what is being asked for:

one could take any sequence of 10 digits, x0 to x9, and consider them points in a coordinate system:
(0,x0), (1,x1), ... , (9,x9)
and then solve for a polynomial of appropriate degree (one more than the number of changes of direction) to find a curve that goes through all 10 points.

  Posted by Larry on 2010-12-30 12:04:48
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