Ladder puzzle 1/Solution

From HexWiki
Revision as of 15:59, 9 November 2009 by GCRhoads (Talk | contribs)

Jump to: navigation, search

Correct: e5

abcdefgh123456781

Red's main threat is the ladder starting at c7. If Red plays out this ladder, Blue can block it. So Red needs a helping stone somewhere on the right and on the second line from the bottom. R1 threatens the follow-up moves at *, which Blue must defend.

abcdefgh12345678132

Red continues that way, using the stone at the right. Again, Blue has to defend.

abcdefgh1234567813245

Finally, Red plays a double threat. This stone is the ladder helper, and it also threatens to connect along the top.

Alternative Solution: f6

abcdefgh1234567812

The stone at f6 is a ladder breaker for the ladder starting at c7, and it also threatens to connect via e5. This looks very strong, but Blue can still defend at e7, which is a ladder breaker and threatens a connection at the lower side.

abcdefgh123456786345

Now Red plays f4 completing the win. f4 is connected to the lower-right group in two non-overlapping ways, through f5 and g4. f4 is also connected to the central group in two non-overlapping ways, through f3 and e5. Therefore, all of Red's pieces form a single group which is connected to both the top and bottom.