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GeezerVison is showing github.com — algorithms/algorithms/backtrack/permute.py at master · oldmonad/algorithms

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"""
Given a collection of distinct numbers, return all possible permutations.
For example,
[1,2,3] have the following permutations:
[
[1,2,3],
[1,3,2],
[2,1,3],
[2,3,1],
[3,1,2],
[3,2,1]
]
"""
def permute(elements):
"""
returns a list with the permuations.
"""
if len(elements) <= 1:
return [elements]
else:
tmp = []
for perm in permute(elements[1:]):
for i in range(len(elements)):
tmp.append(perm[:i] + elements[0:1] + perm[i:])
return tmp
def permute_iter(elements):
"""
iterator: returns a perumation by each call.
"""
if len(elements) <= 1:
yield elements
else:
for perm in permute_iter(elements[1:]):
for i in range(len(elements)):
yield perm[:i] + elements[0:1] + perm[i:]
# DFS Version
def permute_recursive(nums):
def dfs(res, nums, path):
if not nums:
res.append(path)
for i in range(len(nums)):
print(nums[:i]+nums[i+1:])
dfs(res, nums[:i]+nums[i+1:], path+[nums[i]])
res = []
dfs(res, nums, [])
return res
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