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Results tagged with grid-deduction
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user 11876
Puzzles such as Sudoku or Kakuro, where the final state of a pre-existing grid must be deduced logically through clues placed within and/or around the grid. Use with the [logical-deduction] tag. For puzzles where you are given a list of clues which can be used to compose a grid to solve them logically, use the [logic-grid] tag instead.
6
votes
10
votes
Accepted
Is ambiguity prevention sufficient reason to infer a clue?
In grid deduction puzzles, there is a unique solution to each puzzle. What you're using is known as "unique solution logic", using the meta-fact that the puzzle has a unique solution. There's nothing …
- 151k
16
votes
Accepted
WITLESS - A Puzzling Journey
Partial Answer - Sets 1-12 solved, Summit partially solved
IMPORTANT! READ ME FIRST!
Try the puzzle before reading this solution. Please, it's worth it.
If you can't figure out a mechanic, take a bre …
- 151k
8
votes
Accepted
A symmetrical Yajilin
To start, some loop segments are decided already, without looking at any clues. There are also some dots we can mark (for "visited by the loop"), because their shading would create a dead end.
Next …
- 151k
6
votes
Accepted
More Crosses and Circles
(I'll be using shading for easier visibility and solving: shaded cells are crosses, unshaded cells are circles.)
Step 1:
Step 2:
Finally:
- 151k
6
votes
Accepted
5
votes
Accepted
Raindrops revisited
First, we assign multi-digit clues to the Tapa:
And more clue assignments:
Now we can do some more advanced logic on both grids:
And some more logic in the center:
Some miscellaneous logic in vari …
- 151k
3
votes
12
votes
Accepted
Heteromino: Introduction
First:
Similar logic, but with a bit of lookahead:
Finishing off the puzzle with some more attacks on carefully-chosen borders:
- 151k
9
votes
Jewel Cave - A Statue Park-Cave Hybrid
Cave clues by themselves can get us this far:
Since the shaded cells need to be in pentominoes,
Time to do some actual Statue Park thinking!
Now the path to the end of the puzzle is very smooth:
A …
- 151k
8
votes
Accepted
Heteromino: Solitude
Some thought will show that this line is impossible:
That gets us this far:
We can now start to finish off some more regions:
...so we get the final answer:
- 151k
8
votes
Accepted
Another Jewel Cave
Number clue logic alone gets us this far:
And if we include "black cells must be in groups of exactly 5", this gets a bit more:
Now it's time to make heavier use of the piece bank!
We can make a lo …
- 151k
7
votes
Accepted
Jewel Cave: Long Reach
Cave clues alone can give a surprising amount of progress:
And if we remember that all shaded regions are pentominoes, more can be done:
Now it's time for some more in-depth logic:
Continuing...
A …
- 151k
10
votes
Accepted
Santoitchi: Introduction
First,
Now, since every tromino must have exactly one clue in it,
Next we can look at a different area of the puzzle:
And finally, one argument finishes it off:
- 151k
22
votes
Accepted
Make a wide rectangle out of T-Pipes without loops
I found a solution for
I claim this is optimal.
Proof:
What about other arrangements of the same size?
- 151k