Standalone Pattern Set 3.s.5 in Connect 4
Connect 4 in 3 Moves
Deduction Path: Disc Omission on Both Patterns.
Number of Patterns: 2
Pattern List: re0re0pp, re1re0pp
Deduced From: re0ppp, re1ppp
Winning Move: re0 of re1re0pp
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.10 (re0ppp, re0re0pp, re1re0pp, Deduction Path: Empty Siding Fork)
Pset 4.s.11 (re0ppp, re1re0pp, re1re1pp, Deduction Path: Empty Sharing Fork Sub-Top with Topping of the Winning Shared Re)
Pset 4.s.12 (re0ppp, re1re0pp, re2re0pp, Deduction Path: Empty Sharing Fork Sub-Top with Topping of the Not-Winning Shared Re)
Pset 4.s.19 (re0re0pp, re0re0pp, re0re0pp, re1re0pp, Deduction Path: Empty Siding Fork with All Defensible Re's Different)
Pset 4.s.22 (re1ppp, re0re0pp, re0re0pp, re1re0pp, Deduction Path: Empty Siding Fork with All Defensible Re's Different)
Condition List:
- 22EmptyTwoEqual: A rotatable empty (re) position of the first pattern of the concerned pset is on a same column as a re of the second pattern of the concerned pset. The other re of the first pattern is on a same column as the other re of the second pattern. In other words the two patterns of the concerned pset have two pairs re's sharing a same column.
- 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/v6g2cxm-standalone-pset-3.s.5-connect-4in3-moves-pattern-recognition-deduction-hi-h.html
Connect 4 Board Example List:
PEESPSEEEEEPPEEEEEPSEEEEESPEEEEESEEEEEEEEEE
PESPPSPPEPSSPSEESSPPEEEPSSPEEEEPPSEEEESSEEE
PSSPPPSSEESSPEEEEEPPEEEEEPSEEEEESPEEEEEEEEE |
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