there are lots of contestants attend a mini-triathalon exercise, and they need t

Question

there are lots of contestants attend a mini-triathalon exercise, and they need to swim 20 laps of a pool first, then bike 10 miles, then run 3 miles. Each contestant has an expected swimming time, an expected biking time and an expected running time. Assuming that contestants can bike and run simultaneously, but at most one person can be in the pool at any time. Additionally, each people spend exactly their expected swimming, biking, and running times. So we need to find the best order for sending people out, if we wants the whole competition to be over as early as possible. How shall I find that?

Explanation / Answer

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