1. 题目

Given a sorted array and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order.

You may assume no duplicates in the array.

Here are few examples.
[1,3,5,6], 5 → 2
[1,3,5,6], 2 → 1
[1,3,5,6], 7 → 4
[1,3,5,6], 0 → 0

2. 思路

二分查找第一个大于等于的位置。

3. 代码

耗时：9ms

class Solution {
public:
    int searchInsert(vector<int>& nums, int target) {
        return bsearch(nums, 0, nums.size(), target);
    }
    
    int bsearch(vector<int>& nums, int i, int j, int target) {
        if (i >= j) return i;
        if (i+1 == j) { return nums[i] < target ? i+1 : i;}
        int k = i + (j - i) / 2;
        int vk = nums[k];
        if (vk == target) {
            return k;
        } else if (vk > target) {
            return bsearch(nums, i, k, target);
        } else {
            return bsearch(nums, k+1, j, target);
        }
    }
};