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선택 정렬.md

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선택 정렬

문제

n개 원소로 구성된 배열이 주어졌을 때, 이 배열을 정렬하는 함수를 구하라.

절차

  • select the smallest element from the array
  • put it at the beginning of the array
  • then select the smallest array from the remaining unsorted list
  • append it to the sorted array at the beginning
  • keep doing this for every element of the array
  • repeat the above process n times

시간 복잡도

  • 최악: $O(n^2)$
  • 최선: $O(n^2)$
  • 평균: $O(n^2)$

공간 복잡도

  • 최악: $O(1)$

예시

arr[] = {80, 10, 40, 30}
Indexes: 0   1   2   3

1. Index = 0
	Select the minimum number from the array (between index 0-3), ie, 10
2. Swap 10  and 80 (arr[0])
3. The array now is {10, 80, 40, 30}

4. Index = 1
	Select the minimum number from the array (between index 1-3), ie, 30
5. Swap 30 and 80 (arr[1])
6. The array now is {10, 30, 40, 80}

7. Index = 2
	Select the minimum number from the array (between index 2-3), ie, 40
8. Swap 40 and 40 (arr[2])
9. The array now is {10, 30, 40, 80}

The array is now sorted.

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