Dots and Boxes: The \(1\leftarrow2\) Machine

Number Theory Level pending

The machine:

  • The dots initially go into the right most box.
  • Whenever there are two (or more) dots are in the same box, then two dots will explode and become one dot on box to the left, unless there is no box one place to the left.

If 14 dots were put into the machine, what is the final number of dots in these boxes?

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