## Permutations

Backtrack algorithms are used to solve a lot of brute force based DFS search problems. This is a standard python program for backtracking applied to Leetcode problem

Explanation

Given a collection of distinct integers, return all possible permutations.

Example

Input: [1,2,3] Output: [ [1,2,3], [1,3,2], [2,1,3], [2,3,1], [3,1,2], [3,2,1] ]

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import copy
def backtrack(answer, track, nums):
if len(track) == len(nums):
# python only: use deepcopy to create a duplicate of track and push to answer
answer.append( copy.deepcopy(track))
return
else:
for i in range(len(nums)):
if nums[i] in track:
continue
else:
#push
track.append(nums[i])
#explore
backtrack(answer, track, nums)
#pop
track.pop(len(track) - 1)
answer = []
track = []
nums = [1, 2, 3]
backtrack(answer, track, nums)
print(answer)