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← 01-35 Inexact Motion 2 Solution

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Showing Revision 2 created 04/12/2012 by Anna Chiara Bellini.

  1. This is a pretty tricky question, which I'm going to answer in two phases.
  2. Let's just look at the 0.5 over here, 0.8 of that, which is 0.4, ends up over here,
  3. and 0.1 of this, which is 0.05 ends up over here.
  4. The reason why I write it so small is because this is not the correct answer quite yet.
  5. Let's look at the other 0.5.
  6. 0.4 goes two steps--1, 2--and ends up over here on the left side,
  7. but 0.1 falls short and makes the 0.05 over here 0.05 in the second grid cell.
  8. And interestingly enough, for the cell on the right side,
  9. there's two possibly ways you could've gotten there.
  10. Either by overshooting starting in the second cell,
  11. or undershooting starting in the right cell.
  12. So the total is the sum of these two things--0.1.
  13. This is the final answer: 0.4, 0.05, 0.05, 0.4, and 0.1.