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In peg solitaire, a move consists of jumping a peg over an existing peg into an empty hole (horizontally or vertically). The jumped peg is then removed. The goal is to end up with a single peg on the board. In a 4x4 grid of pegs, play peg solitaire. There are basically three starting positions (remove a peg from location A, B, or F in the grid to the right.) Can you find a solution for each? Try to leave the final peg as close to the starting hole as possible. | A B C D E F G H I J K L M N O P |
Source: Original. You can send text grids, graphics, or use the peg-labeling of the grid above.
1 | 2 | 3 | 4 | 5 | ||||||||||||||||||||||
A | C | D | A | J | C | D | A | J | C | D | A | C | D | A | C | D | ||||||||||
E | F | G | H | E | G | H | E | H | E | E | N | |||||||||||||||
I | J | K | L | I | K | L | I | K | L | I | J | K | L | I | K | L | ||||||||||
M | N | O | P | M | N | O | P | M | N | O | P | M | N | O | P | M | O | P | ||||||||
6 | 7 | 8 | 9 | 10 | ||||||||||||||||||||||
A | D | A | D | A | D | A | D | A | D | |||||||||||||||||
E | N | E | N | E | N | E | N | E | N | |||||||||||||||||
I | K | L | I | L | I | L | I | L | I | |||||||||||||||||
M | O | P | M | O | P | M | P | M | M | |||||||||||||||||
11 | 12 | 13 | 14 | 15 | ||||||||||||||||||||||
A | D | D | A | |||||||||||||||||||||||
E | N | M | N | M | M | M | ||||||||||||||||||||
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Kirk provided the best solutions for each, as well as solutions if diagonal jumps are allowed:
With only horizontal or vertical jumps, then no position has a win (end in the hole you started with). The best I found for each:STARTING @ A C->A J->B A->C I->A D->B A->C H->F O->G F->H L->D D->B M->O P->N score=2 _ * _ _ _ _ _ _ _ _ _ _ _ * _ _ STARTING @ B D->B A->C I->A J->B H->F O->G P->H B->J C->K M->O O->G H->F J->B A->C score=1 _ _ * _ _ _ _ _ _ _ _ _ _ _ _ _ STARTING @ F H->F E->G M->E N->F F->H O->G H->F E->G P->H H->F B->J D->B A->C score=2 _ _ * _ _ _ _ _ _ * _ _ _ _ _ _ If you allow diagonal jumps, then each position has a win. STARTING @ A C->A J->B A->C I->A D->B A->C L->D D->J N->F P->N M->O O->G C->K K->A STARTING @ B D->B A->C I->A J->B B->D L->B P->F A->K D->L N->P P->F B->J M->G L->B STARTING @ F H->F E->G M->E N->F F->H P->F A->I C->A A->K O->G D->J I->K H->P P->F