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Viraax

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Dec 16th, 2022
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  1. 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.
  2.  
  3. 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.
  4.  
  5. Here's the pseudocode for the algorithm:
  6.  
  7. Copy code
  8. # valves is a list of tuples, each tuple containing the valve name and flow rate
  9.  
  10. # sort the list in decreasing order of flow rate
  11. valves = sort(valves, key=lambda x: -x[1])
  12.  
  13. total_pressure_released = 0
  14.  
  15. # visited_valves is a set containing the names of the valves that have been visited
  16. visited_valves = set()
  17.  
  18. # start at valve AA
  19. current_valve = "AA"
  20.  
  21. while len(visited_valves) < len(valves):
  22. # open the current valve
  23. flow_rate = get_flow_rate(current_valve)
  24. total_pressure_released += flow_rate
  25.  
  26. # mark the current valve as visited
  27. visited_valves.add(current_valve)
  28.  
  29. # find all the connected valves
  30. connected_valves = get_connected_valves(current_valve)
  31.  
  32. # choose the next valve to visit by selecting the one with the highest flow rate
  33. # from the list of connected valves that haven't been visited yet
  34. next_valve = None
  35. for valve in connected_valves:
  36. if valve not in visited_valves:
  37. next_valve = valve
  38. break
  39.  
  40. # move to the next valve
  41. current_valve = next_valve
  42.  
  43. print(total_pressure_released)
  44. 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.
  45.  
  46. This greedy algorithm will give you the maximum pressure release in the given time of 30 minutes.
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