YMMV, of course. "Sticking" with the decision is really important in group activities, even if it results in not having fun
But that is part of my point. The dm is suposed to have fun too. As said I would not as a dm balance an entire campaign on a puzzle.
But you can be sure I would not keep giving out hints and clues untill a puzzle is solved if I put one in the game. And there won't suddenly and mysteriously pop up some kind of solution to the problem or a previously non-existing way to bypass it. Because that would make the game very unfun for me.
Obviously I would give out something to the players with intelligent characters, if they still can't solve it. Well tough luck. Just as it is tough luck when a Hill Giant crits you for 63 points of damage and you die.
Thats how I dm and my players prefer it that way. They know that you do your best, but sometimes you still fail. It's not a Hollywood movie with a guaranteed happy ending.
IMO the posters who stated that they party should have turned back after the first or second room had it right. Without a way to disable the fog and the portals they should have retreated and found a way to do that before proceeding. They brought the situation on their own heads. With a way out we wouldn't have had any discussion at all.
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