Difference between revisions of "Solutions to puzzles"
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| − | == Puzzle 1 == | + | == Piet Hein's puzzles == |
| + | |||
| + | === Puzzle 1 === | ||
<hex> | <hex> | ||
R11 C11 Q1 | R11 C11 Q1 | ||
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No matter what Red does, Blue can connect via either g5 or g8. Both blue stones at the right are connected to the right (see the [[Strategy#General strategy guide|Strategy guide]] for details). The stone at d8 is connected to the left because of the ladder breaker at c2. | No matter what Red does, Blue can connect via either g5 or g8. Both blue stones at the right are connected to the right (see the [[Strategy#General strategy guide|Strategy guide]] for details). The stone at d8 is connected to the left because of the ladder breaker at c2. | ||
| − | == Puzzle 2 == | + | === Puzzle 2 === |
<hex>R3 C3 Ha1 Va2 Vb3 Hb2</hex> | <hex>R3 C3 Ha1 Va2 Vb3 Hb2</hex> | ||
| − | == Puzzle 3 == | + | === Puzzle 3 === |
<hex>R6 C6 Vc3 Vf3 Vd5 Hb1 Hb5 He2</hex> | <hex>R6 C6 Vc3 Vf3 Vd5 Hb1 Hb5 He2</hex> | ||
| − | == Puzzle 4 == | + | === Puzzle 4 === |
<hex>R4 C4 Vd1 Va4 Hc2 Hb3</hex> | <hex>R4 C4 Vd1 Va4 Hc2 Hb3</hex> | ||
| − | == Puzzle 5 == | + | === Puzzle 5 === |
<hex>R4 C4 Va4 Ha1 N:on Hb3</hex> | <hex>R4 C4 Va4 Ha1 N:on Hb3</hex> | ||
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Since the cells for the ladder and those for the edge template do not overlap, Red cannot do anything against the connection. | Since the cells for the ladder and those for the edge template do not overlap, Red cannot do anything against the connection. | ||
| − | == Puzzle 7 == | + | === Puzzle 6 === |
| + | === Puzzle 7 === | ||
| + | |||
| + | == Other authors== | ||
| + | |||
| + | === Puzzle 1 === | ||
The unique winning first move is Red c3! | The unique winning first move is Red c3! | ||
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| 1. b4 || d2 || 2. d5 || c5 || 3. c4 || e3 || 4. d4 || e5 | | 1. b4 || d2 || 2. d5 || c5 || 3. c4 || e3 || 4. d4 || e5 | ||
|} | |} | ||
| + | |||
| + | === Puzzle 2 === | ||
| + | |||
| + | == See Also == | ||
| + | |||
| + | [[Puzzles|Back to puzzles page]] | ||
[[category:Puzzle]] | [[category:Puzzle]] | ||
Revision as of 19:42, 28 December 2007
Contents
Piet Hein's puzzles
Puzzle 1
No matter what Red does, Blue can connect via either g5 or g8. Both blue stones at the right are connected to the right (see the Strategy guide for details). The stone at d8 is connected to the left because of the ladder breaker at c2.
Puzzle 2
Puzzle 3
Puzzle 4
Puzzle 5
Blue 1 is connected to the right via Template IIIa and threatens to connect directly to the left. The only possibility to prevent this connection is to play out the ladder:
Since the cells for the ladder and those for the edge template do not overlap, Red cannot do anything against the connection.
Puzzle 6
Puzzle 7
Other authors
Puzzle 1
The unique winning first move is Red c3! (e2 is defeated by e3, d3 is defeated by e1, e3 is defeated by e2, and b4 is defeated by d3).
The following seem like horizontal's (Blue's) best tries from the above position.
| 1. d2 | e2 | 2. d5 | c5 | 3. d4 | b3 | 4. c4 | a5 | ||||
| 1. d3 | b3 | 2. b5 | e3 | ||||||||
| 1. e1 | d2 | 2. d1 | d1 | 3. c4 | b3 | 4. e3 | a5 | or | 4. b5 | e3 | |
| ........ | .... | 2. c4 | b3 | 3. c5 | e3 | 4. e4 | f3 | 5. e6 | d5 | ||
| 1. d5 | b3 | 2. d2 | b2 | 3. c4 | a5 | 4. a6 | c5 | 5. b5 | e3 | 6. d5 | f5 |
| ........ | .... | ........ | .... | 3. b5 | c5 | 4. c4 | e3 | ||||
| ........ | .... | ........ | .... | 3. b6 | a6 | 4. b4 | c5 | 5. c4 | e3 | 6. e6 | d4 |
| 1. c4 | e3 | 2. e2 | b3 | 3. d3 | a5 | ||||||
| 1. b5 | d4 | 2. d3 | f2 | 3. f1 | d2 | 4. c4 | e2 | 5. e4 | e3 | 6. c5 | e5 |
| ........ | .... | 2. e1 | d2 | 3. d1 | f1 | 4. e2 | f2... | ||||
| 1. b4 | d2 | 2. d5 | c5 | 3. c4 | e3 | 4. d4 | e5 |
