**一. 题目描述**
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
~~~
**二. 题目分析**
题目的大意是,给定一个已排序的数组和一个目标值`target`,如果在数组中找到该目标值,就返回这个目标值的元素下标。如果没有找到,就返回`target`应该插入到该数组中的位置下标。这个过程中,假设该数组中没有重复元素。
和[Search for a Range](http://blog.csdn.net/liyuefeilong/article/details/50403616) 的解法类似,二分查找即可,可能出问题的地方是对边界条件的处理。
**三. 示例代码**
~~~
#include <iostream>
#include <vector>
using namespace std;
class Solution {
public:
int searchInsert(vector<int>& nums, int target) {
int n = nums.size(), low = 0, high = n - 1, midIndex = 0;
while (low <= high)
{
midIndex = (low + high) / 2;
if (nums[midIndex] == target)
return midIndex;
else if (nums[midIndex] > target)
high = midIndex - 1;
else
low = midIndex + 1;
}
// 边界
if (low > n)
return n;
if (high < 0)
return 0;
}
};
~~~
解题结果:
![](https://box.kancloud.cn/2016-01-05_568bb5f1e8985.jpg)
**四. 小结**
二分查找的经典题目,对边界的情况需要额外考虑。该题实际上是实现:`std::lower_bound()` 的功能。
- 前言
- 2Sum
- 3Sum
- 4Sum
- 3Sum Closest
- Remove Duplicates from Sorted Array
- Remove Duplicates from Sorted Array II
- Search in Rotated Sorted Array
- Remove Element
- Merge Sorted Array
- Add Binary
- Valid Palindrome
- Permutation Sequence
- Single Number
- Single Number II
- Gray Code(2016腾讯软件开发笔试题)
- Valid Sudoku
- Rotate Image
- Power of two
- Plus One
- Gas Station
- Set Matrix Zeroes
- Count and Say
- Climbing Stairs(斐波那契数列问题)
- Remove Nth Node From End of List
- Linked List Cycle
- Linked List Cycle 2
- Integer to Roman
- Roman to Integer
- Valid Parentheses
- Reorder List
- Path Sum
- Simplify Path
- Trapping Rain Water
- Path Sum II
- Factorial Trailing Zeroes
- Sudoku Solver
- Isomorphic Strings
- String to Integer (atoi)
- Largest Rectangle in Histogram
- Binary Tree Preorder Traversal
- Evaluate Reverse Polish Notation(逆波兰式的计算)
- Maximum Depth of Binary Tree
- Minimum Depth of Binary Tree
- Longest Common Prefix
- Recover Binary Search Tree
- Binary Tree Level Order Traversal
- Binary Tree Level Order Traversal II
- Binary Tree Zigzag Level Order Traversal
- Sum Root to Leaf Numbers
- Anagrams
- Unique Paths
- Unique Paths II
- Triangle
- Maximum Subarray(最大子串和问题)
- House Robber
- House Robber II
- Happy Number
- Interlaving String
- Minimum Path Sum
- Edit Distance
- Best Time to Buy and Sell Stock
- Best Time to Buy and Sell Stock II
- Best Time to Buy and Sell Stock III
- Best Time to Buy and Sell Stock IV
- Decode Ways
- N-Queens
- N-Queens II
- Restore IP Addresses
- Combination Sum
- Combination Sum II
- Combination Sum III
- Construct Binary Tree from Inorder and Postorder Traversal
- Construct Binary Tree from Preorder and Inorder Traversal
- Longest Consecutive Sequence
- Word Search
- Word Search II
- Word Ladder
- Spiral Matrix
- Jump Game
- Jump Game II
- Longest Substring Without Repeating Characters
- First Missing Positive
- Sort Colors
- Search for a Range
- First Bad Version
- Search Insert Position
- Wildcard Matching