运行时间复杂度分析

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英文:

Analysis of run time complexity

问题

    /**
    *mostOften方法
    *@param array 数组[],整数n
    */
    
    static int mostOften(int array[], int n){
     
        // 将数组升序排序
        Arrays.sort(array);
        
        // 计算数组中的最大出现次数
        int maxO = 1;
        
        // 跟踪数组中的整数
        int result = array[0];
        
        // 计数变量
        int count = 1;
        
        /**
        * 循环按线性方式遍历数组,并比较索引i处和索引i-1处的元素。
        * 根据可能的每种情况递增count和maxO。
        */
        for(int i = 1; i < n; i++){ 
            
            // 如果整数相同,则递增count。
            if (array[i] == array[i - 1]){ 
                count++;  
            }//关闭if语句
            
            // 否则,如果整数不同
            else{
             
                // 如果count大于maxO,则该整数具有更高的出现次数
                if (count > maxO){ 
                
                    // count现在变为maxO
                    maxO = count; 
                   
                    // 用具有最高出现次数的整数替换result。
                    result = array[i - 1]; 
                }//关闭if语句
                
                // 将count重置为1。
                count = 1; 
            }//关闭else语句
        }//关闭for循环
        
        //@返回int数据类型
        return result;
    }//关闭mostOften方法
英文:

I need some help below I have some code I created for an assignment. I am having a hard time figuring out the time complexity of this algorithm. I looked at it and believe the O-notation is 0(n) and the function is F(n)= 4 + 2n. But I think that is incorrect.

/**
*mostOften method 
*@param receives Array[] , int
*/

 static int mostOften(int array[] , int n){
 
 //Array to be sorted in ascending order
 Arrays.sort(array);
 
 //counts number of max occurrences in the array
 int maxO = 1;
 
 //Keeps track of the integer at Array[i].
 int result = array[0];
 
 //variable to count occurrences
 int count = 1;
 
 /**
 *loop passes through array in linear motion and compares index at i and index at
 * i - 1. For every possible outcome count and maxO are incremented accordingly.
 */
  for(int i = 1 ; i &lt; n ; i++){ 
  
        //If integers are the same increment count.
			if (array[i] == array[i - 1]){ 
				count++;  
            }//close if statement
            
        // else if integers are not the same 
         else{
         
			   //if count is larger thatn maxO that integer is the highers occurrence
				if (count &gt; maxO){ 
            
				   //count is now maxO
					maxO = count; 
               
               //replaces result with integers with highest occurrence.
					result = array[i - 1]; 
				}//close if statement
             
            //reset count to 1.
				count = 1; 
            
			}//close else statement
         
  }//close for loop
  
      //@returns int data type
		return result;
  
 }//close mostOften method

答案1

得分: 2

只想指出Arrays.sort本身的时间复杂度是O(n logn)。
如果我们忽略这一点,循环所需时间是线性的。

英文:

Just wanted to point out that Arrays.sort itself is O(n logn).
If we ignore that, the loop takes linear time.

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  • 本文由 发表于 2020年9月9日 08:50:31
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