2 to 1 Machine

The \( 1 \leftarrow 2 \) 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.

Put 13 dots into the right most box of a \(1\leftarrow2\) machine. In the final display, what is the number of dots in these boxes?

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