三元查詢


與二分搜尋類似,它還將列表分成子列表。此方法使用兩個中間中間值將列表分成三部分。當列表被分成更多子部分時,它減少了搜尋鍵值的時間。

三元搜尋技術的複雜性

  • 時間複雜度:O(log3 n)
  • 空間複雜度:O(1)

輸入和輸出

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

演算法

ternarySearch(array, start, end, key)

輸入 −已排序陣列、起始位置、結束位置和搜尋鍵

輸出 −鍵的位置(如果找到),否則為錯誤位置。

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;
}

輸出

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

更新於: 15-06-2020

3K+ 瀏覽

開啟你的 職業 生涯

透過完成課程獲得認證

開始
廣告
© . All rights reserved.