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How many such operations are necessary to correctly label the boxes?

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Given that

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And (69)^4 = 11

Can you find out

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(Note: This is Logical, not Mathematical)

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Amazing Facts

Gamers

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.