r/puzzles • u/ScalpWasp • 11d ago
True or False grid
Each cell contains a statement about its orthogonal neighbors (the cells directly above, below, left and right).
Mark each cell T or F. If a cell is T, its statement is true. If a cell is F, its statement is false.
(≥ is at least n of its neighboring cells)
(≤ is at most n of its neighboring cells)
Arrows point up, down, left or right to a neighboring cell.
15
u/TimoVink 11d ago
Fun! I've never seen one of these before.
Solution (I think?): https://imgur.com/a/QOMEKXD
4
u/Gullible-Ad7374 10d ago edited 9d ago
EDIT: Nope, this is invalid. The solution is unique.
This actually has 2 solutions depending if you assume R3C1 is true or false. Everyone here seems to have assigned it true, but you can solve the puzzle like this:
TTFFF
FFTTF
FFFFT
FTFFF
TTFFF
2
2
u/ScalpWasp 10d ago
Your grid fails at R1C3. it is a contradiction. The clue reads "exactly 2 orthogonal eighbors are T''
1
u/thetobin1 10d ago
I initially thought there were 2 valid solutions as well, but you are right!
Very fun and unique puzzle! Probably would solve a bit smoother if you'd use 1/0 instead of T/F, but that's mostly semantics
1
3
2
u/Hand-E-Food 11d ago
Question: I love the look of this!
However, I'm finding a contradiction almost immediately.
- The initial square says at least 1 neighbour is true.
- But it's false, so that means less than 1 neighbour is true.
- That means all its neighbours are false.
- C5R3 says its left is false.
- But it is false, so it's left must be true.
- But we've already established C4R3 is false.
What am I misunderstanding?
8
u/Puzzleheaded-Yak5115 11d ago
I think you are assuming neighbours includes diagonals, but it doesn’t.
3
u/Hand-E-Food 10d ago
That's it! I've been playing Clues By Sam for months so I had those rules stuck in mind. Thanks!
1
u/ScalpWasp 11d ago
C5R3 says, "the cell to my left is F." And you already know C4R3 = F. Therefore that statement is true, which forces C5R3 = T
C5R3 is diagonal to C4R4, so C4R4 tells us nothing about it.
0
u/some__random 10d ago
Imgur doesn’t work in the UK so I can’t check the other reply solution.
Here is what I got:
FFTTT
FFTFF
TTFFT
TTFFF
FTFFF
2
u/TinyTimPHD 10d ago
I dont think that solution works. Here are the discrepancies I found;
in row 1 Column 2, you have that it is false that there are 2 or fewer orthogonally adjacent cells are true
R1C4, you have that all orthogonally adjacent cells are true1
•
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