All Columns Pattern Set 3.a.1 in Connect 4
Connect 4 in 3 Moves
Deduction Path: All Columns and Disc Omission on Depth of Re1ppp.
Number of Patterns: 2
Pattern List: re1ppp, re2ppp
Deduced From: re1ppp
Winning Move: re2 of re2ppp
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:
- Re2pppOnOneColumn: There exists on the game matrix re2ppp pattern(s) on exactly one column (one re2).
- AllOtherOpenColRe1ppp: In an all columns pattern set for winning in M moves every other open column, besides specific columns with other specific conditions, has a re1ppp pattern. In other words all other columns are closed or have a re1ppp. As such an opponents move on any other open column creates a re0ppp enabling the player to win.
- 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/v6irxwp-all-columns-pset-3.a.1-connect-4in3-moves-pattern-recognition-deduction-hi-.html
Connect 4 Board Example List:
PSSPPSESPPSSPEPSSSPPESPPSSPEPSSPPSESPPSSPEP |