Standalone Pattern Set 3.s.6 in Connect 4
Connect 4 in 3 Moves
Deduction Path: Disc Omission on Depth of Both Patterns.
Indefensible: yes
The opponent cannot defend an indefensible pattern set assuming it is the opponents move. Thus just suppose the opponent is going to move on the concerned pset. If he moves on any re of the pset he actually transforms the pset to an equivalent or even faster win for the player. The latter makes this pset indefensible.
Number of Patterns: 2
Pattern List: re1ppp, re2ppp
Deduced From: re0ppp, re1ppp
Winning Move: re1 of re1ppp
After playing this winning move the pattern set specified under deduced from pattern sets hereunder is created by following (in reverse direction) the deduction path above.
Deduced From Pattern Sets:
Pset 2.s.2 (re0ppp, re1ppp, Deduction Path: Empty Sharing Fork)
Deduction Source for Pattern Sets:
Pset 4.s.13 (re1ppp, re2ppp, Deduction Path: Disc Omission on any Column Other than the Winning Indefensible Re of the Pset)
Condition List:
- 11EmptyEqual: The rotatable empty (re) position of the first pattern of the concerned pset is on the same column as the re of the second pattern. In other words their re's must be sharing the same column, not be on different siding columns.
- AfterMoveNoFasterWinForOpponent: After the players winning move, as specified by the winning move property above, no pattern set (pset) of the opponent may exist on the board that implies a faster win for the opponent. If the player can choose more than one column to win, it is sufficient no faster opponent win exists after the players move on one of those winning columns. For example for psets 3.x.y (connects 4 in 3 moves) no psets 1.v.w (connects 4 in 1 move) of the opponent may exist after the specified players move.
This pattern sets video:
https://rumble.com/v6ha1b1-standalone-pset-3.s.6-connect-4in3-moves-pattern-recognition-deduction-hi-h.html
Connect 4 Board Example List:
PESPPSPEEPSSPSEESSPPPEEPSSPSEEEPPSEEEESSPEE
PSPSEPSSPSSEPPPPPPESEESSEEEEEEEEEEEEEEEEEEE
PPSSEPPSPPPESSESSPEPPEESEESEEESEEEEEEPEEEEE |