Talk:Lexicon Crossing
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The quest for a 10+ scoring game... |
The quest for a 10+ scoring game... |
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| + | * Four words can have 4 scoring tiles (square). Thus a maximum of 40 points. 40/4=10. |
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| + | * Five words can have 6 scoring tiles (adjacent squares). This is a maximum of 56 points. 56/5=11.2 |
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| + | * Six words can have 9 scoring tiles (crosshatch). This is a maximum of 77 points. 77/6=12.8 |
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| + | Both 5 and 6 word solutions rely on a few words having three scoring tiles, so let's concentrate our search there. |
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| + | How many words have three tiles that score 4+ and which are seperated by at least one tile |
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egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l |
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l |
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5005 |
5005 |
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| + | ...seperated by exactly one tile: |
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egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l |
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l |
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413 |
413 |
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| − | ...a lot of those words could be removed. eg, 31 words have too many Ks in them. 4 words have too many Zs... |
+ | ...seperated by more than one, but at least one is Z, Q, X or J... |
| + | egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | egrep '(Z|Q|X|J)' | wc -l 1320 |
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| + | ...some of those words could be removed because they have too many of a single letter... |
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| + | egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | egrep '(Z|Q|X|J)' | egrep -v '(Q.*Q.*Q|Z.*Z.*Z|X.*X.*X|J.*J.*J|K.*K.*K|V.*V.*V)' | wc -l 1313 |
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| − | egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | egrep -v '(K.*K.*K|Z.*Z.*Z)' | wc -l |
+ | These 1313 words should be the basis of our search. |
| − | 4970 |
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Revision as of 11:46, 18 November 2014
The quest for a 10+ scoring game...
- Four words can have 4 scoring tiles (square). Thus a maximum of 40 points. 40/4=10.
- Five words can have 6 scoring tiles (adjacent squares). This is a maximum of 56 points. 56/5=11.2
- Six words can have 9 scoring tiles (crosshatch). This is a maximum of 77 points. 77/6=12.8
Both 5 and 6 word solutions rely on a few words having three scoring tiles, so let's concentrate our search there.
How many words have three tiles that score 4+ and which are seperated by at least one tile
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l
5005
...seperated by exactly one tile:
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W).{1}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | wc -l
413
...seperated by more than one, but at least one is Z, Q, X or J...
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | egrep '(Z|Q|X|J)' | wc -l 1320
...some of those words could be removed because they have too many of a single letter...
egrep '(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W).{1,}(Q|Z|X|J|K|V|F|H|Y|W)' CSW12_wordsonly.txt | egrep '(Z|Q|X|J)' | egrep -v '(Q.*Q.*Q|Z.*Z.*Z|X.*X.*X|J.*J.*J|K.*K.*K|V.*V.*V)' | wc -l 1313
These 1313 words should be the basis of our search.
