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大学学数据结构时侯学的算法,现在复习一下:
- #include <iostream>
-
- using namespace std;
-
- /*
- *二分查找思想:1、数组从小到大排序;2、查找的key每次和中间数比较,如果key小于mid
- 查找mid左侧的数组部分;如果key大于mid,则查找mid右侧的数组部分;如果相等,则直接返回mid。
- 输入:排序数组-array,数组大小-aSize,查找值-key
- 返回:返回数组中的相应位置,否则返回-1
- */
- //非递归查找
- int BinarySearch(int *array, int aSize, int key)
- {
- if ( array == NULL || aSize == 0 )
- return -1;
- int low = 0;
- int high = aSize - 1;
- int mid = 0;
-
- while ( low <= high )
- {
- mid = (low + high )/2;
-
- if ( array[mid] < key)
- low = mid + 1;
- else if ( array[mid] > key )
- high = mid - 1;
- else
- return mid;
- }
- return -1;
- }
- //递归
- int BinarySearchRecursive(int *array, int low, int high, int key)
- {
- if ( low > high )
- return -1;
- int mid = ( low + high )/2;
-
- if ( array[mid] == key )
- return mid;
- else if ( array[mid] < key )
- return BinarySearchRecursive(array, mid+1, high, key);
- else
- return BinarySearchRecursive(array, low, mid-1, key);
- }
-
- int main()
- {
- int array[10];
- for (int i=0; i<10; i++)
- array[i] = i;
-
- cout<<"No recursive:"<<endl;
- cout<<"position:"<<BinarySearch(array, 10, 6)<<endl;
- cout<<"recursive:"<<endl;
- cout<<"position:"<<BinarySearchRecursive(array, 0, 9, 6)<<endl;
-
- return 0;
- }
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