70 搜索插入位置

给定一个排序数组和一个目标值，在数组中找到目标值， 并返回其索引。如果目标值不存在于数组中， 返回它将会被按顺序插入的位置。

请必须使用时间复杂度为 $O(logn)$的算法。

示例 1:
输入: nums = [1,3,5,6], target = 5
输出: 2

示例 2:
输入: nums = [1,3,5,6], target = 2
输出: 1

示例 3:
输入: nums = [1,3,5,6], target = 7
输出: 4

提示:

• 1 <= nums.length <= $10^4$
• $-10^4$ <= nums[i] <= $10^4$
• nums 为 无重复元素 的 升序 排列数组
• $-10^4$ <= target <= $10^4$

题解1 二分查找

class Solution {
public:
    int searchInsert(vector<int>& nums, int target) {
        int len = nums.size();
        int left = 0;
        int right = len-1;
        int pos = 0;
        while(left <= right){
            int mid = (left+right) >> 1;
            if(nums[mid] == target) return mid;
            else if(nums[mid] < target){
                left = mid+1;
                // left就是升序情况下 应该插入的位置
                pos = left;
            }else{
                right = mid-1;
            }
        }
        return pos;
    }
};
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21

防越界写法

class Solution {
public:
    int searchInsert(vector<int>& nums, int target) {
        int n = nums.size();
        int left = 0, right = n - 1, ans = n;
        while (left <= right) {
            int mid = ((right - left) >> 1) + left;
            if (target <= nums[mid]) {
            // mid = left + (difference)>>1 (Key: 找到第一个下标，对应值 >= target)
                ans = mid;
                right = mid - 1;
            } else {
                left = mid + 1;
            }
        }
        return ans;
    }
};
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18

题解2 STL大法

class Solution {
public:
    int searchInsert(vector<int>& nums, int target) {
        auto it = find(nums.begin(),nums.end(),target);
        if(it!=nums.end()){
            return it-nums.begin();
        }
        auto first =lower_bound(nums.begin(), nums.end(), target);
        return first-nums.begin();
    }
};
1
2
3
4
5
6
7
8
9
10
11

两行

class Solution {
public:
    int searchInsert(vector<int>& nums, int target) {
        auto st = nums.cbegin(), ed = nums.cend();
        return lower_bound(st, ed, target) - st;
    }
};
1
2
3
4
5
6
7