Checkers, also called draughts, is an interesting game. all pieces are placed on black tile and are all pawns at the start. When a pawn reach the final line, a powerful piece is created: the Queen. It can move multiple tiles on the same move.
10*10checkers field, with international checkers rule. If you can place one white queen anywhere on the checker,
What is the maximum number of black pawn you can take in a row?
Can you prove that this number is optimal?
I want to remind that queen can go back, stop anywhere behind the pawn taken. Pawn won't disapear until the end of the whole move (so their tile will remain inaccessible for the queen) and you can't eat the same pawn twice!