mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
02c0daf9e5
* Adding variable to fade out ambiguity * More readability on merge sorting algorithm * Updating merge_sort_fastest description and explaining why * Adding tests file with imports * Standardazing filenames and function names * Adding test cases and test functions * Adding test loop * Putting 'user oriented code' inside main condition for having valid imports * Fixing condition * Updating tests: adding cases and todo list * Refactoring first euler problem's first solution
83 lines
1.8 KiB
Python
83 lines
1.8 KiB
Python
from __future__ import print_function
|
|
def binary_search(lst, item, start, end):
|
|
if start == end:
|
|
if lst[start] > item:
|
|
return start
|
|
else:
|
|
return start + 1
|
|
if start > end:
|
|
return start
|
|
|
|
mid = (start + end) // 2
|
|
if lst[mid] < item:
|
|
return binary_search(lst, item, mid + 1, end)
|
|
elif lst[mid] > item:
|
|
return binary_search(lst, item, start, mid - 1)
|
|
else:
|
|
return mid
|
|
|
|
|
|
def insertion_sort(lst):
|
|
length = len(lst)
|
|
|
|
for index in range(1, length):
|
|
value = lst[index]
|
|
pos = binary_search(lst, value, 0, index - 1)
|
|
lst = lst[:pos] + [value] + lst[pos:index] + lst[index+1:]
|
|
|
|
return lst
|
|
|
|
|
|
def merge(left, right):
|
|
if not left:
|
|
return right
|
|
|
|
if not right:
|
|
return left
|
|
|
|
if left[0] < right[0]:
|
|
return [left[0]] + merge(left[1:], right)
|
|
|
|
return [right[0]] + merge(left, right[1:])
|
|
|
|
|
|
def tim_sort(lst):
|
|
runs, sorted_runs = [], []
|
|
length = len(lst)
|
|
new_run = [lst[0]]
|
|
sorted_array = []
|
|
|
|
for i in range(1, length):
|
|
if i == length - 1:
|
|
new_run.append(lst[i])
|
|
runs.append(new_run)
|
|
break
|
|
|
|
if lst[i] < lst[i - 1]:
|
|
if not new_run:
|
|
runs.append([lst[i - 1]])
|
|
new_run.append(lst[i])
|
|
else:
|
|
runs.append(new_run)
|
|
new_run = []
|
|
else:
|
|
new_run.append(lst[i])
|
|
|
|
for run in runs:
|
|
sorted_runs.append(insertion_sort(run))
|
|
|
|
for run in sorted_runs:
|
|
sorted_array = merge(sorted_array, run)
|
|
|
|
return sorted_array
|
|
|
|
|
|
def main():
|
|
|
|
lst = [5,9,10,3,-4,5,178,92,46,-18,0,7]
|
|
sorted_lst = tim_sort(lst)
|
|
print(sorted_lst)
|
|
|
|
if __name__ == '__main__':
|
|
main()
|