A manager needs to build a new house, so he hires a worker to build it. The manager says that the house will take 7 days to complete, he will pay the worker with his 7 pound gold bar. However, the worker demands that he should get paid before he does the work. As a compromise, the worker and the manager agree that at the end of each days work, the worker will get paid one pound of gold. This means the worker will have 1 pound of gold after the first day, 2 pounds after the second, and so on. However, you only have one 7 pound gold bar, and your knife is only sharp enough to cut the gold bar twice. How should you cut the gold bar to pay the worker accordingly?

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July AGMT problem