本文实例讲述了C++实现查找中位数的O(N)算法和Kmin算法,分享给大家供大家参考。具体方法如下:
利用快速排序的partition操作来完成O(N)时间内的中位数的查找算法如下:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
|
#include <iostream> #include <cassert> #include <algorithm> #include <iterator> using namespace std; int array[] = {1, 2, 10, 8, 9, 7, 5}; const int size = sizeof array / sizeof *array; int partition( int *array, int left, int right) { if (array == NULL) return -1; int pos = right; right--; while (left <= right) { while (left < pos && array[left] <= array[pos]) left++; while (right >= 0 && array[right] > array[pos]) right--; if (left >= right) break ; swap(array[left], array[right]); } swap(array[left], array[pos]); return left; } int getMidIndex( int *array, int size) { if (array == NULL || size <= 0) return -1; int left = 0; int right = size - 1; int midPos = right >> 1; int index = -1; while (index != midPos) { index = partition(array, left, right); if (index < midPos) { left = index + 1; } else if (index > midPos) { right = index - 1; } else { break ; } } assert (index == midPos); return array[index]; } void main() { int value = getMidIndex(array, size); cout << "value: " << value << endl; } |
寻找kmin算法如下:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
|
int findKMin( int *array, int size, int k) { if (array == NULL || size <= 0) return -1; int left = 0; int right = size - 1; int index = -1; while (index != k) { index = partition(array, left, right); if (index < k) { left = index + 1; } else if (index > k) { right = index - 1; } else { break ; } } assert (index == k); return array[index]; } |
希望本文所述对大家C++程序算法设计的学习有所帮助。