Fog #33, Hint question

[joeyz1998]

Regarding hint #14, I'm not sure why the 15 cage can't be 69.

[Maul]

Whatever pattern we're supposed to spot there, I didn't either.

[joeyz1998]

I also don't see the supposed 8 contradiction as alluded to in hint #16.

[Voomby]

I've spent way too long on this puzzle, and managed to get row 9 down to as few numbers as I could possibly manage, but even then I am also failing to see why we must conclude that the 15 cage is not 69. The clue makes it seem as if it should be obvious, but I'm in the dark.

[Glassy]

Can anyone explain the nonsense that is hint #5 on this puzzle?

[Voomby]

Originally posted by Glassy:

Can anyone explain the nonsense that is hint #5 on this puzzle?

Hi Glassy. Hint #5 is simply looking at the disjoint set rule.

If you examine cell number six (middle far right cell) in each 9x9 box of the grid, because they cannot contain the same number as any other cell in that position (disjoint set rule) then you will find that three cells have to contain the digits 5,7 or 9.

Having established that, you can also look down column six and you will now find three cells in that column that only contain those three numbers (thus eliminating those numbers from the other cells in that column).

Hint #5 isn't too bad, wait till you get to hint #14 which I still can't understand, and I've given up solving the puzzle at the moment as it seems too difficult.

[Glassy]

Originally posted by Voomby:

Originally posted by Glassy:

Can anyone explain the nonsense that is hint #5 on this puzzle?

Hi Glassy. Hint #5 is simply looking at the disjoint set rule.

If you examine cell number six (middle far right cell) in each 9x9 box of the grid, because they cannot contain the same number as any other cell in that position (disjoint set rule) then you will find that three cells have to contain the digits 5,7 or 9.

Having established that, you can also look down column six and you will now find three cells in that column that only contain those three numbers (thus eliminating those numbers from the other cells in that column).

Hint #5 isn't too bad, wait till you get to hint #14 which I still can't understand, and I've given up solving the puzzle at the moment as it seems too difficult.

I appreciate your explanation

It doesn't help that hint #5 says R7 when it should say R8 (twice)

[Kabi]

Same, I cannot figure out for my life what Im supposed to do at this point, I solved half way the puzzle but there is no reason why 8 cant be at the bottom.

Yes, I tried to bruteforce digits and I see it eventually breaks, but I dont see the logic I have to follow after spending an hour fiddling with it.

[Kabi]

Originally posted by Voomby:

I've spent way too long on this puzzle, and managed to get row 9 down to as few numbers as I could possibly manage, but even then I am also failing to see why we must conclude that the 15 cage is not 69. The clue makes it seem as if it should be obvious, but I'm in the dark.

Exactly the same I am facing.

[Jiltofar]

Originally posted by Kabi:

Yes, I tried to bruteforce digits and I see it eventually breaks, but I dont see the logic I have to follow after spending an hour fiddling with it.

I used bruteforce too, after hours of staring at my screen.