An excerpt from a likely-never-to-be-finished essay:
"Claude Shannon once told me that as a kid, he remembered being stuck on a jigsaw puzzle.
His brother, who was passing by, said to him: "You know: I could tell you something."
That's all his brother said.
Yet that was enough hint to help Claude solve the puzzle. The great thing about this hint... is that you can always give it to yourself."
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The brother could have spent arbitrarily much time on the jigsaw puzzle before Claude started playing with it.
I suppose, but even then he would have to take time to review the state of the puzzle. You would still expect him to take longer to spot complex details, and perhaps he'd examine a piece or two to refresh his memory.
But that isn't my true rejection here.
If you assume that Claude's brother "spent arbitrarily much time" beforehand, the moral of the story becomes significantly less helpful: "If you're having trouble, spend an arbitrarily large amount of time working on the problem."