mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-30 16:31:08 +00:00
49 lines
1.4 KiB
Python
49 lines
1.4 KiB
Python
|
"""
|
||
|
|
Calculate the minimum waiting time using a greedy algorithm.
|
||
|
|
reference: https://www.youtube.com/watch?v=Sf3eiO12eJs
|
||
|
|
|
||
|
|
For doctests run following command:
|
||
|
|
python -m doctest -v minimum_waiting_time.py
|
||
|
|
|
||
|
|
The minimum_waiting_time function uses a greedy algorithm to calculate the minimum
|
||
|
|
time for queries to complete. It sorts the list in non-decreasing order, calculates
|
||
|
|
the waiting time for each query by multiplying its position in the list with the
|
||
|
|
sum of all remaining query times, and returns the total waiting time. A doctest
|
||
|
|
ensures that the function produces the correct output.
|
||
|
|
"""
|
||
|
|
|
||
|
|
|
||
|
|
def minimum_waiting_time(queries: list[int]) -> int:
|
||
|
|
"""
|
||
|
|
This function takes a list of query times and returns the minimum waiting time
|
||
|
|
for all queries to be completed.
|
||
|
|
|
||
|
|
Args:
|
||
|
|
queries: A list of queries measured in picoseconds
|
||
|
|
|
||
|
|
Returns:
|
||
|
|
total_waiting_time: Minimum waiting time measured in picoseconds
|
||
|
|
|
||
|
|
Examples:
|
||
|
|
>>> minimum_waiting_time([3, 2, 1, 2, 6])
|
||
|
|
17
|
||
|
|
>>> minimum_waiting_time([3, 2, 1])
|
||
|
|
4
|
||
|
|
>>> minimum_waiting_time([1, 2, 3, 4])
|
||
|
|
10
|
||
|
|
>>> minimum_waiting_time([5, 5, 5, 5])
|
||
|
|
30
|
||
|
|
>>> minimum_waiting_time([])
|
||
|
|
0
|
||
|
|
"""
|
||
|
|
n = len(queries)
|
||
|
|
if n in (0, 1):
|
||
|
|
return 0
|
||
|
|
return sum(query * (n - i - 1) for i, query in enumerate(sorted(queries)))
|
||
|
|
|
||
|
|
|
||
|
|
if __name__ == "__main__":
|
||
|
|
import doctest
|
||
|
|
|
||
|
|
doctest.testmod()
|