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Hard

Requires specific techniques like induction, graph theory, or advanced proofs. Multiple interconnected insights needed.

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Hard

Stack of Coins 3

Once more, you and your friend stumble on another pirate’s treasure: an old chest filled with coins: 575 copper coins and 1 gold coin. As before, these old...

Hard

Jewel Thieves and a Stolen Gem

The Moonstone has been stolen. Police have three suspects under surveillance—three of the city’s most notorious jewel thieves—but no evidence to arrest any of...

Hard

Ant on a Rubber Band

A taut rubber band connects a wall to the back of a toy racecar 1 metre away. At time t = 0 , the racecar drives away from the wall at 1 metre per second,...

Hard

3-Bit Sensors

A remote weather station uses two redundant 3-bit sensors to measure atmospheric pressure. Both sensors transmit their readings to a central processor, but...

Hard

Chomp 4

After beating your friend at his game 3 times already, you wonder if there’s always a way to win for an n by m chocolate bar. As a reminder, here are the rules...

Hard

Traversing the Hypercube

Ossarion-429 is a multi-dimensional being travelling across hypercubes of various dimensions. Bored and having nothing else to do, he wonders to himself if...

Hard

Average Salaries 2

Back in [[puzzle ]], 12 employees came up with a method to find out their average salary without revealing their individual salaries to anyone. Here’s the...