All Columns Pattern Set 3.a.2 in Connect 4
Connect 4 in 3 Moves
Deduction Path: All Columns and Disc Omission on Closed Column.
Number of Patterns: 1
Pattern List: re1ppp
Deduced From: re1ppp
Winning Move: e0 of column
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.a.1 (re1ppp, Deduction Path: All Columns and Opponent Disc Omission on Depth of Re0ppp)
Deduction Source for Pattern Sets:
Condition List:
- AtLeastOneRe1ppp: At least one re1ppp exists on the game board. In an all columns pattern set for winning in 2 moves every open column has a re1ppp pattern. At least one such column with re1ppp must exist, otherwise all columns are closed, the game is finished and a win in 2 moves is no longer an option of course.
- AllOpenColRe1ppp: In an all columns pattern set for winning in M moves every open column has a re1ppp pattern. In other words all columns are closed or have a re1ppp. As such an opponents move on any open column creates a re0ppp enabling the player to win.
- OneColumnWithOneEmpty: There exists on the game matrix exactly one column with exactly one empty position.
- 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/v6jsglg-all-columns-pset-3.a.2-connect-4in3-moves-pattern-recognition-deduction-hi-.html
Connect 4 Board Example List:
PSSPPSPSPPSSPEPSSSPPESPPSSPEPSSPPSESPPSSPEE
SSPSSSPPPPSPPSSESPSSPPESSPPESEPSSSEPEEPPPES
SSPSSPPPPPSPPSESPPSSSEPSSPPSESPSSSPEPSSPPEE
PSPSSSPPSPSPPSSSPPSSPPPSSPPSSSEPSSPPEEPPPSS
SSSPSPSPPPSSSPPESPPSPPEPSPPSSEPPSSPPESESPSS |