Missing Piece Riddle

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

Missing Piece Riddle




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What are the 50th, 63rd and 100th numbers in the sequence below?
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One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.