OK so I was a kid once, back in the 40s and 50s, and we had this game called Pegity.
It had a board with a 16x16 array of holes, and in turn each of 2-4 players inserted a peg of his own color into a hole. The object was to get 5 pegs of your color in a row: vertically, horizontally or diagonally. Not every game was won: similar to tic-tac-toe, you could run out of holes. But with only two players, there was usually a win.
For simplicity let's shrink to a 9x9 board, mark the holes like in chess (A1, E7, etc.) and say that after O and X have each made three moves we have this position, with O to move:
1 2 3 4 5 6 7 8 9
A + + + + + + + + +
B + + + + + + + + +
C + + + + + + + + +
D + + + + + + + + +
E + + + + O + + + +
F + + + O + O + + +
G + + + + X + + + +
H + + + X + X + + +
I + + + + + + + + +
With best play by both players, how soon can O win?
Use chess notation (naming the holes, in two columns) to list the moves.
Question
bonanova
OK so I was a kid once, back in the 40s and 50s, and we had this game called Pegity.
It had a board with a 16x16 array of holes, and in turn each of 2-4 players inserted a peg of his own color into a hole. The object was to get 5 pegs of your color in a row: vertically, horizontally or diagonally. Not every game was won: similar to tic-tac-toe, you could run out of holes. But with only two players, there was usually a win.
For simplicity let's shrink to a 9x9 board, mark the holes like in chess (A1, E7, etc.) and say that after O and X have each made three moves we have this position, with O to move:
1 2 3 4 5 6 7 8 9
A + + + + + + + + +
B + + + + + + + + +
C + + + + + + + + +
D + + + + + + + + +
E + + + + O + + + +
F + + + O + O + + +
G + + + + X + + + +
H + + + X + X + + +
I + + + + + + + + +
With best play by both players, how soon can O win?
Use chess notation (naming the holes, in two columns) to list the moves.
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