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Number | Possible Colours of Tiles Covered |
---|---|
1 | R-R |
2 | R-B |
3 | R-R |
4 | R-B |
5 | B-B |
6 | IMPOSSIBLE! |
Number | Possible Colours of Tiles Covered |
---|---|
1 | R-R |
2 | R-B |
3 | B-B |
4 | R-B |
5 | IMPOSSIBLE! |
Number Sandwich | Number of Red and Blue Need to be Covered |
Even numbers in the sandwich |
No. of R and B covered by even number |
No. of R and B needed to be covered by odd numbers |
POSSIBLE? |
1 | NO | ||||
2 | 2R, 2B | 2 | 1R, 1B | 1R, 1B | NO |
3 | 3R, 3B | 2 | 1R, 1B | 2R, 2B | YES |
4 | 4R, 4B | 2, 4 | 2R, 2B | 2R, 2B | YES |
5 | 5R, 5B | 2, 4 | 2R, 2B | 3R, 3B | NO |
6 | 6R, 6B | 2, 4, 6 | 3R, 3B | 3R, 3B | NO |
7 | 7R, 7B | 2, 4, 6 | 3R, 3B | 4R, 4B | YES |
8 | 8R, 8B | 2, 4, 6, 8 | 4R, 4B | 4R, 4B | YES |
9 | 9R, 9B | 2, 4, 6, 8 | 4R, 4B | 5R, 5B | NO |
10 | 10R, 10B | 2, 4, 6, 8, 10 | 5R, 5B | 5R, 5B | NO |
11 | 11R, 11B | 2, 4, 6, 8, 10 | 5R, 5B | 6R, 6B | YES |
12 | 12R, 12B | 2, 4, 6, 8, 10, 12 | 6R, 6B | 6R, 6B | YES |
13 | 13R, 13B | 2, 4, 6, 8, 10, 12 | 6R, 6B | 7R, 7B | NO |
14 | 14R, 14B | 2, 4, 6, 8, 10, 12, 14 | 7R, 7B | 7R, 7B | NO |
15 | 15R, 15B | 2, 4, 6, 8, 10, 12, 14 | 7R, 7B | 8R, 8B | YES |