DSA/algorithms/Python/arrays/dutch_national_flag_algo.py

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"""
Algorithm Type: Array sorting with 0s,1s and 2s in a single pass
Explain: To separate three different groups
Time Complexity: O(n)
Space Complexity: O(1)
0 0 1 1 1 ? ? ? ? 2 2
| | |
v v v
Low Mid High
To goal of the algo is to shrink this '?' region
wrapped by Mid and High
> Low starts at 1
"""
numbers = [2, 0, 1, 1, 2, 0, 1, 2]
def DNFS(numbers: list) -> list:
length = len(numbers)
low = 0
high = length - 1
mid = 0
while mid <= high:
if numbers[mid] == 0:
numbers[low], numbers[mid] = numbers[mid], numbers[low]
low = low + 1
mid = mid + 1
elif numbers[mid] == 1:
mid = mid + 1
else:
numbers[mid], numbers[high] = numbers[high], numbers[mid]
high = high - 1
return numbers
if __name__ == "__main__":
print(DNFS(numbers))