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Escape RoomRiddle #1403

A sign above the vault reads: 'Read the code as three pairs that overlap: digits one and two, digits two and three, and digits three and four. Every pair is a perfect square. Of all the codes that work, ours is the biggest.' What's the four-digit code?

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Escape Room Riddle: A sign above the vault reads: 'Read the code as three pairs that overlap: digits one and two, digits two and three, and digits three and four. Every pair is a perfect square. Of all the codes that work, ours is the biggest.' What's the four-digit code?
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