LeetCode OJ 34Search for a Range

Posted xujian_2014

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题目链接:https://leetcode.com/problems/search-for-a-range/

题目:Given a sorted array of integers, find the starting and ending position of a given target value.

Your algorithm's runtime complexity must be in the order of O(log n).

If the target is not found in the array, return [-1, -1].

For example,
Given [5, 7, 7, 8, 8, 10] and target value 8,
return [3, 4].

解题思路:题意为在一个有序数组中寻找指定值的起始位置和结束位置,因为题目要求时间复杂度为O(log n),故而想到使用二分查找法。

示例代码:

public class Solution 

	 public int[] searchRange(int[] nums, int target) 
	 
	        int[] result=new int[]-1,-1;
	        int start=0;
	        int end=nums.length-1;
	        while(start<=end)
	        
	        	int middle=(start+end)>>1;
	        	int middleValue=nums[middle];
	        	if(middleValue==target)
	        	
	        		//找到目标值后,先搜索其左边有没有与目标值相等的数,取其最左边的索引值放入result中,同理再搜索其最右边
	        		int i=middle;
	        		while((i-1)>=0&&nums[i-1]==target)
	        		
	        			i--;
	        		
	        		result[0]=i;
	        		int j=middle;
	        		while((j+1)<nums.length&&nums[j+1]==target)
	        		
	        			j++;
	        		
	        		result[1]=j;
	        		return result;
	        	
	        	else if(target<middleValue)  
	              
	                //小于中值时在中值前面找  
	                end=middle-1;  
	              
	            else  
	              
	                //大于中值在中值后面找  
	                start=middle+1; 
	            
	        
	        
	        return result;
	 


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