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NC Hybrid Triples 2 & Hybrid Triples 3
http://www.rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=13&t=1634		 Page 1 of 1
Author:  HATMAN [ Mon Aug 23, 2021 7:18 pm ]
Post subject:  NC Hybrid Triples 2 & Hybrid Triples 3
Hybrid Triples

All triple cages:
the first number is NC to the second number
the second number is NC to the third number
But:
the first number is consecutive to the third number.

The rules are a bit strange - but they seem to make interesting puzzles - so far.

NC Hybrid Triples 2

The Grid is NC.
All cages are hybrid.
Not too hard but there is an interesting little move in the middle.

Image

Hybrid Triples 3

Normal grid with hybrid triples - not too hard.


Image
Author:  Andrew [ Fri Aug 27, 2021 4:11 am ]
Post subject:  Re: NC Hybrid Triples 2 & Hybrid Triples 3
Hybrid Triples 3 is a nice introductory puzzle. HATMAN said Not Too Hard; I'll say Easy. Just remember which cage combinations meet the hybrid rule; they must contain 2 but not 3 consecutive numbers.

Solution:
2 5 1 7 4 9 3 8 6
4 8 3 2 5 6 1 7 9
7 9 6 3 1 8 4 2 5
9 2 4 6 3 7 5 1 8
1 6 7 5 8 4 2 9 3
8 3 5 1 9 2 6 4 7
3 4 8 9 2 5 7 6 1
5 7 2 8 6 1 9 3 4
6 1 9 4 7 3 8 5 2
Author:  Andrew [ Fri Aug 27, 2021 4:18 am ]
Post subject:  Re: NC Hybrid Triples 2 & Hybrid Triples 3
NC Hybrid Triples 2 was more like the level of puzzle we expect on this forum. I agree with HATMAN Not Too Hard.
My key step:
After getting 17(3) cage at R5C6 = [746] and reducing R9C6 to {35} using R8C6 = {12} it was
15(3) cage at R9C7 = {267/348}
Consider combinations for 18(3) cage at R7C2 = {189/378/459}
18(3) cage = {189/378} => caged X-Wing for 8 in R79C2 and R79C5, no other 8 in R9
or 18(3) cage = {459), R9C2 = {45} => 15(3) cage = {267} (cannot be {348} because R9C6 = {35} + 15(3) cage = {348} clash with R9C2)
-> 15(3) cage = {267}
Solution:
9 2 6 4 7 5 8 3 1
5 7 4 1 3 8 2 9 6
8 3 1 9 6 2 5 7 4
4 8 3 6 1 9 7 5 2
2 6 9 3 5 7 4 1 8
7 1 5 8 2 4 9 6 3
3 5 7 2 8 6 1 4 9
6 9 2 7 4 1 3 8 5
1 4 8 5 9 3 6 2 7
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