Description

Given an array of integers sorted in ascending order, 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].

Example

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

思路

  • 二分查找
  • 两次二分,分别查找左边起点和右边终点
  • 对应于代码中flag = 1,找左边;flag = 0, 找右边

代码

class Solution {
public:
    vector<int> searchRange(vector<int>& nums, int target) {
        vector<int> res;
        int len = nums.size();
        
        res.push_back(binarySearch(nums, len, target, 1));
        res.push_back(binarySearch(nums, len, target, 0));

        return res;
    }

    int binarySearch(vector<int>& nums, int len, int target, int flag){
        int low = 0, high = len - 1;
        int mid = 0;
        while (low <= high){
            mid = low + (high - low) / 2;

            if (nums[mid] == target){
                if (flag){
                    if (mid == low || mid - 1 >= low && nums[mid - 1] < nums[mid])
                        return mid;
                    else high = mid - 1;
                }
                else{
                    if (mid == high || mid + 1 <= high && nums[mid + 1] > nums[mid])
                        return mid;
                    else low = mid + 1;
                }
            }
            else if (nums[mid] > target)
                high = mid - 1;
            else low = mid + 1;
        }

        return -1;
    }
};
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