Standalone Pattern Set 3.s.7 in Connect 4
Connect 4 in 3 Moves
Deduction Path: Disc Omission on Vertical Pattern and on Depth of the Other Pattern.
Number of Patterns: 2
Pattern List: re2ppp, re1re0pp
Deduced From: re0ppp, 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.s.2 (re0ppp, re1ppp, Deduction Path: Empty Sharing Fork)
Deduction Source for Pattern Sets:
Pset 4.s.14 (re0ppp, re2ppp, re1re0pp, Deduction Path: Empty Siding Fork)
Pset 4.s.20 (re2ppp, re1re0pp, re0re0pp, re0re0pp, Deduction Path: Empty Siding Fork with All Defensible Re's Different)
Condition List:
- 12EmptyEqualWithVerticalPattern: The rotatable empty (re) position of the first pattern of the concerned pset is on the same column as the second vertical 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/v6i0ni1-standalone-pset-3.s.7-connect-4in3-moves-pattern-recognition-deduction-hi-h.html
Connect 4 Board Example List:
PSSSPEEEPSSPEEESPPEEEEEEPEEEEEEEEEEEEEEEEEE
PSSSPSEEPSSPEEESPPEEEEEPPEEEEEEEEEEEEEEEEEE
PESSPSSPEEPPSSPEESEPSEEEPEPPEEEPEESEEESEEEE |
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