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 No colors known? (Posted on 2004-08-04)
A friend told me about a chess game he had seen. At certain moment, the only pieces on board were a Queen at h8, a Rook at g6, and the Kings at h6 and g8. He didn't remember what color was each piece, but it can be worked out... how?
```      +---+---+---+---+---+---+---+---+
|   |   |   |   |   |   | K | Q | 8
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 7
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   | R | K | 6
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 5
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 4
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 3
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 2
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   | 1
+---+---+---+---+---+---+---+---+
a   b   c   d   e   f   g   h
```
If the Rook had been at g7, what would have been the colors?

 Submitted by Federico Kereki Rating: 3.1429 (7 votes) Solution: (Hide) Both Kings cannot be in check, so one is in double check by Rg6 and Qh8 -- the only possibility is that the last move was g7xh8=Q+, so Kh6, Qh8 and Rg6 are White, and Kg8 is Black. In the second case, the only possibility is that the last move was h7-h8=Q+, with Kg8, Qh8 and Rg7 being White, and Kh6 Black.

Comments: ( You must be logged in to post comments.)
 Subject Author Date No Subject Angel 2005-02-04 03:28:35 re: Solution, part 1 keisha 2004-10-01 14:13:14 re: my solution nikki 2004-08-27 14:23:58 my solution Michael 2004-08-22 09:28:42 The ubiquituous 'Impossible Solution' Daniel 2004-08-09 00:36:32 re(3): Solutions Charlie 2004-08-05 15:40:53 re: true answer e.g. 2004-08-05 15:21:09 re(2): Solutions e.g. 2004-08-05 15:17:50 true answer Bri 2004-08-05 10:20:58 re: Solutions Charlie 2004-08-05 08:00:20 Solutions e.g. 2004-08-04 14:31:12 Solution, part 2 stan 2004-08-04 12:16:37 ummm... Thalamus 2004-08-04 12:15:46 Solution, part 1 stan 2004-08-04 12:10:49 re: Kings Problem ! ( oops! ) Vishal Baghel 2004-08-04 12:02:17 Kings Problem ! Vishal Baghel 2004-08-04 11:59:15
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