Python编写一个三分检索程序,首先检查n/3的元素是否等于某个x的值,然后检查2n/3处的元素,这样,或者找到或者把集合缩小到原来的1/3.找到输出元素下标,否则输出-1.写出程序并分析程序
时间: 2024-02-28 19:53:17 浏览: 59
以下是一个基于迭代的三分查找程序的实现:
```python
def ternary_search(arr, x):
left, right = 0, len(arr) - 1
while right >= left:
# Find the first pivot
mid1 = left + (right - left) // 3
# Find the second pivot
mid2 = right - (right - left) // 3
# Check if x is present at mid1
if arr[mid1] == x:
return mid1
# Check if x is present at mid2
if arr[mid2] == x:
return mid2
# If x is smaller than mid1, ignore right third
if x < arr[mid1]:
right = mid1 - 1
# If x is greater than mid2, ignore left third
elif x > arr[mid2]:
left = mid2 + 1
# Otherwise, search the middle third
else:
left = mid1 + 1
right = mid2 - 1
# If we reach here, then the element was not present
return -1
```
该函数接受一个数组和一个要查找的值x作为参数,并返回x在数组中的下标,如果x不存在于数组中,则返回-1。
该算法的时间复杂度为 O(log3 n),因为它在每个迭代步骤中将搜索区域缩小为原来的 1/3。因此,与二分查找一样,该算法的效率非常高。
阅读全文