mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
Compare commits
6 Commits
43869782c7
...
5a8adc3ee7
Author | SHA1 | Date | |
---|---|---|---|
|
5a8adc3ee7 | ||
|
e3f3d668be | ||
|
14c9575c34 | ||
|
57fbc0332e | ||
|
c81787e695 | ||
|
2364494193 |
|
@ -16,7 +16,7 @@ repos:
|
||||||
- id: auto-walrus
|
- id: auto-walrus
|
||||||
|
|
||||||
- repo: https://github.com/astral-sh/ruff-pre-commit
|
- repo: https://github.com/astral-sh/ruff-pre-commit
|
||||||
rev: v0.7.2
|
rev: v0.7.3
|
||||||
hooks:
|
hooks:
|
||||||
- id: ruff
|
- id: ruff
|
||||||
- id: ruff-format
|
- id: ruff-format
|
||||||
|
@ -42,7 +42,7 @@ repos:
|
||||||
pass_filenames: false
|
pass_filenames: false
|
||||||
|
|
||||||
- repo: https://github.com/abravalheri/validate-pyproject
|
- repo: https://github.com/abravalheri/validate-pyproject
|
||||||
rev: v0.22
|
rev: v0.23
|
||||||
hooks:
|
hooks:
|
||||||
- id: validate-pyproject
|
- id: validate-pyproject
|
||||||
|
|
||||||
|
|
|
@ -526,6 +526,7 @@
|
||||||
* [Test Min Spanning Tree Prim](graphs/tests/test_min_spanning_tree_prim.py)
|
* [Test Min Spanning Tree Prim](graphs/tests/test_min_spanning_tree_prim.py)
|
||||||
|
|
||||||
## Greedy Methods
|
## Greedy Methods
|
||||||
|
* [Activity Selection](greedy_methods/activity_selection.py)
|
||||||
* [Best Time To Buy And Sell Stock](greedy_methods/best_time_to_buy_and_sell_stock.py)
|
* [Best Time To Buy And Sell Stock](greedy_methods/best_time_to_buy_and_sell_stock.py)
|
||||||
* [Fractional Cover Problem](greedy_methods/fractional_cover_problem.py)
|
* [Fractional Cover Problem](greedy_methods/fractional_cover_problem.py)
|
||||||
* [Fractional Knapsack](greedy_methods/fractional_knapsack.py)
|
* [Fractional Knapsack](greedy_methods/fractional_knapsack.py)
|
||||||
|
|
|
@ -172,7 +172,7 @@ def solved(values):
|
||||||
|
|
||||||
def from_file(filename, sep="\n"):
|
def from_file(filename, sep="\n"):
|
||||||
"Parse a file into a list of strings, separated by sep."
|
"Parse a file into a list of strings, separated by sep."
|
||||||
return open(filename).read().strip().split(sep) # noqa: SIM115
|
return open(filename).read().strip().split(sep)
|
||||||
|
|
||||||
|
|
||||||
def random_puzzle(assignments=17):
|
def random_puzzle(assignments=17):
|
||||||
|
|
52
greedy_methods/activity_selection.py
Normal file
52
greedy_methods/activity_selection.py
Normal file
|
@ -0,0 +1,52 @@
|
||||||
|
"""
|
||||||
|
The Activity Selection Problem is a classic problem in which a set of activities,
|
||||||
|
each with a start and end time, needs to be scheduled in such a way that
|
||||||
|
the maximum number of non-overlapping activities is selected.
|
||||||
|
This is a greedy algorithm where at each step,
|
||||||
|
we choose the activity that finishes the earliest
|
||||||
|
and does not conflict with previously selected activities.
|
||||||
|
|
||||||
|
Wikipedia: https://en.wikipedia.org/wiki/Activity_selection_problem
|
||||||
|
"""
|
||||||
|
|
||||||
|
|
||||||
|
def activity_selection(activities: list[tuple[int, int]]) -> list[tuple[int, int]]:
|
||||||
|
"""
|
||||||
|
Solve the Activity Selection Problem using a greedy algorithm by selecting
|
||||||
|
the maximum number of non-overlapping activities from a list of activities.
|
||||||
|
|
||||||
|
Parameters:
|
||||||
|
activities: A list of tuples where each tuple contains
|
||||||
|
the start and end times of an activity.
|
||||||
|
|
||||||
|
Returns:
|
||||||
|
A list of selected activities that are non-overlapping.
|
||||||
|
|
||||||
|
Example:
|
||||||
|
>>> activity_selection([(1, 3), (2, 5), (3, 9), (6, 8)])
|
||||||
|
[(1, 3), (6, 8)]
|
||||||
|
|
||||||
|
>>> activity_selection([(0, 6), (1, 4), (3, 5), (5, 7), (5, 9), (8, 9)])
|
||||||
|
[(1, 4), (5, 7), (8, 9)]
|
||||||
|
|
||||||
|
>>> activity_selection([(1, 2), (2, 4), (3, 5), (0, 6)])
|
||||||
|
[(1, 2), (2, 4)]
|
||||||
|
|
||||||
|
>>> activity_selection([(5, 9), (1, 2), (3, 4), (0, 6)])
|
||||||
|
[(1, 2), (3, 4), (5, 9)]
|
||||||
|
"""
|
||||||
|
|
||||||
|
# Step 1: Sort the activities by their end time
|
||||||
|
sorted_activities = sorted(activities, key=lambda activity: activity[1])
|
||||||
|
|
||||||
|
# Step 2: Select the first activity (the one that finishes the earliest)
|
||||||
|
# as the initial activity
|
||||||
|
selected_activities = [sorted_activities[0]]
|
||||||
|
|
||||||
|
# Step 3: Iterate through the sorted activities and select the ones
|
||||||
|
# that do not overlap with the last selected activity
|
||||||
|
for i in range(1, len(sorted_activities)):
|
||||||
|
if sorted_activities[i][0] >= selected_activities[-1][1]:
|
||||||
|
selected_activities.append(sorted_activities[i])
|
||||||
|
|
||||||
|
return selected_activities
|
Loading…
Reference in New Issue
Block a user