Level Setup Turn 1 Turn 2 Turn 3 ------ ------- ------- ------- ------- 2 ····· ····· ····· ···a· 1 ····· ···d· ···d· ····· 0 ·abc· ·ab·· ···a· ····· -1 ···d· ····· ····· ·····It turns out you need at least 2 checkers to get to level 1, 4 to get to level 2, 8 to get to level 3, and 20 to get to level 4.

Prove the least number of jumps it would take to get to level 5, and how you would do it.

**Note**: You may place the initial checkers anywhere you wish, as necessary.