After downloading your game, your prompt of "try one more" is an invitation for me to quit playing and do something else. I think something like "next" would be better but even better would be to just directly dump people into the next puzzle.
That's a great idea, thanks. I'll try "Next" but going straight into the next level would be a bit abrupt. Some people are spending over an hour per puzzle (as I did myself with Nikoli's hand-made levels six months ago), and it seems appropriate to give them a small celebratory moment.
An hour? Wow. I did all 100 free levels last night, and other than 61 and 62, which took 10 min each, i solved all in 5 sec to 4 min. I used exactly 1 hint...