三元搜索


与二进制搜索类似,它还将列表划分为子列表。此过程使用两个中间中值将列表分成三部分。由于将列表划分为更多子部分,因此可减少搜索键值的时间。

三元搜索技术的复杂性

  • 时间复杂度:O(log3 n)
  • 空间复杂度:O(1)

输入和输出

Input:
A sorted list of data: 12 25 48 52 67 79 88 93
The search key 52
Output:
Item found at location: 3

算法

ternarySearch(array, start, end, key)

输入 - 已排序的数组、起始和结束位置以及搜索键

输出 - 键的位置(如果找到),否则为错误位置。

Begin
   if start <= end then
      midFirst := start + (end - start) /3
      midSecond := midFirst + (end - start) / 3
      if array[midFirst] = key then
         return midFirst
      if array[midSecond] = key then
         return midSecond
      if key < array[midFirst] then
         call ternarySearch(array, start, midFirst-1, key)
      if key > array[midSecond] then
         call ternarySearch(array, midFirst+1, end, key)
      else
         call ternarySearch(array, midFirst+1, midSecond-1, key)
   else
      return invalid location
End

示例

#include<iostream>
using namespace std;

int ternarySearch(int array[], int start, int end, int key) {
   if(start <= end) {
      int midFirst = (start + (end - start) /3); //mid of first and second block
      int midSecond = (midFirst + (end - start) /3); //mid of first and second block
      if(array[midFirst] == key)
         return midFirst;
      if(array[midSecond] == key)
         return midSecond;
      if(key < array[midFirst])
         return ternarySearch(array, start, midFirst-1, key);
      if(key > array[midSecond])
         return ternarySearch(array, midSecond+1, end, key);
      return ternarySearch(array, midFirst+1, midSecond-1, key);
   }
   return -1;
}

int main() {
   int n, searchKey, loc;
   cout << "Enter number of items: ";
   cin >> n;
   int arr[n]; //create an array of size n
   cout << "Enter items: " << endl;

   for(int i = 0; i< n; i++) {
      cin >> arr[i];
   }

   cout << "Enter search key to search in the list: ";
   cin >> searchKey;
   if((loc = ternarySearch(arr, 0, n, searchKey)) >= 0)
      cout << "Item found at location: " << loc << endl;
   else
      cout << "Item is not found in the list." << endl;
}

输出

Enter number of items: 8
Enter items:
12 25 48 52 67 79 88 93
Enter search key to search in the list: 52
Item found at location: 3

更新于: 15-6 月-2020

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