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- To maximize the pressure release, you can use a greedy algorithm. The idea is to always choose the valve with the highest flow rate and visit all the connected valves from it.
- You can start by creating a list of all the valves and their flow rates. Then, you can sort the list in decreasing order of flow rates. This will give you the optimal order in which to visit the valves.
- Here's the pseudocode for the algorithm:
- Copy code
- # valves is a list of tuples, each tuple containing the valve name and flow rate
- # sort the list in decreasing order of flow rate
- valves = sort(valves, key=lambda x: -x[1])
- total_pressure_released = 0
- # visited_valves is a set containing the names of the valves that have been visited
- visited_valves = set()
- # start at valve AA
- current_valve = "AA"
- while len(visited_valves) < len(valves):
- # open the current valve
- flow_rate = get_flow_rate(current_valve)
- total_pressure_released += flow_rate
- # mark the current valve as visited
- visited_valves.add(current_valve)
- # find all the connected valves
- connected_valves = get_connected_valves(current_valve)
- # choose the next valve to visit by selecting the one with the highest flow rate
- # from the list of connected valves that haven't been visited yet
- next_valve = None
- for valve in connected_valves:
- if valve not in visited_valves:
- next_valve = valve
- break
- # move to the next valve
- current_valve = next_valve
- print(total_pressure_released)
- You can implement the get_flow_rate and get_connected_valves functions to return the flow rate of a valve and the list of connected valves, respectively, based on the input data provided in the question.
- This greedy algorithm will give you the maximum pressure release in the given time of 30 minutes.
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