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Explain how to solve the following problem iteratively: "Suppose that you are in the middle of...

Explain how to solve the following problem iteratively:

"Suppose that you are in the middle of a lake of radius 1. You can swim at a speed of 1, can run infinitely fast. Suppose further that there is a monster on the shore of the lake who is unable to enter the water, but can run at a speed of 4. Your goal is to swim to shore of the lake and arrive at a spot where the monster is not, and then run away from the monster without being caught. If you swim directly to shore, it will take you 1 time unit. In this time, the monster will run the distance π < 4 around to where you land and eat you."

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