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30
dynamic_programming/brige_torch_problem.py
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30
dynamic_programming/brige_torch_problem.py
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person_pace = [1, 2, 5, 10, 12, 16]
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person_pace.sort() # Sort the array for optimal pairing
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people = len(person_pace)
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# Base cases
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if people == 1:
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print("Min Time to Cross is:", person_pace[0])
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elif people == 2:
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print("Min Time to Cross is:", person_pace[1])
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else:
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total_time = 0
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while people > 3:
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# Strategy 1: Send the two fastest first, then the fastest returns
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option1 = person_pace[1] + person_pace[0] + person_pace[-1] + person_pace[1]
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# Strategy 2: Send the two slowest, then the fastest returns
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option2 = person_pace[-1] + person_pace[0] + person_pace[-2] + person_pace[0]
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# Choose the minimum of the two strategies
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total_time += min(option1, option2)
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# Remove the two slowest people who have crossed
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person_pace = person_pace[:-2]
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# Handle the last 2 or 3 people
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if len(person_pace) == 3:
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total_time += person_pace[2] + person_pace[0] + person_pace[1]
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elif len(person_pace) == 2:
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total_time += person_pace[1]
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print("Min Time to Cross is:", total_time)
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