Puzzles and logic › Processes, invariants and strategy › Board operations and invariants

Minimum operations to clear 2021 piles

University · ●●●○○ 50 pts

There are 2021 piles of stones, with the number of stones in each pile being 1,2,…,20211, 2, \ldots, 2021 respectively. In one operation you select any number of piles and remove the same number of stones from each selected pile. What is the minimum number of operations required to remove all the stones?

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binary number systemlower boundsinductioncombinatorics