[LeetCode] #167# Two Sum II : 数组/二分查找/双指针

时间:2023-03-08 22:23:54
[LeetCode] #167# Two Sum II : 数组/二分查找/双指针
一. 题目

1. Two Sum II

Given an array of integers that is already sorted in ascending order, find two numbers such that they add up to a specific target number.

The function twoSum should return indices of the two numbers such that they add up to the target, where index1 must be less than index2. Please note that your returned answers (both index1 and index2) are not zero-based.

You may assume that each input would have exactly one solution.

Input: numbers={2, 7, 11, 15}, target=9
Output: index1=1, index2=2

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二. 题意
  • 给定一个有序数组和一个目标值
  • 找出数组中两个成员,两者之和为目标值,并顺序输出
  • 假设一定存在一个解

三. 分析

  • 算法核心:
    • 三种方法:
      • 暴力搜索: 时间复杂度 O(n^2) (超时)
      • 哈希表: 时间复杂度 O(n)
      • 二分查找: 时间复杂度 O(nlogn)
      • 使用双指针分别指向数组头和尾,同时双向遍历数组: 时间复杂度 O(n)
  • 实现细节:
    • 算法逻辑相对简单
    • 实现细节相对容易

四. 题解

  • 哈希表
    • 实现
 class Solution {
public:
vector<int> twoSum(vector<int>& A, int target) {
vector<int> res;
int n = A.size();
map<int, int> m; for (int i = ; i < n; i++) m[A[i]] = i + ; for (int i = ; i < n; i++) {
if ( != m.count(target - A[i]) && i + != m[target - A[i]]) {
res.push_back(i + );
res.push_back(m[target - A[i]]);
return res;
}
} return res;
}
};
    • 结果

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" alt="" width="680" height="330" />

  • 二分查找
    • 实现
 class Solution {
public:
vector<int> twoSum(vector<int>& A, int target) {
vector<int> res;
int n = A.size(); for (int i = ; i < n; i++) {
int left = i + , right = n - ;
while (left <= right) {
int mid = (left + right) / ;
if (A[mid] < target - A[i]) left = mid + ;
else if (A[mid] > target - A[i]) right = mid - ;
else {res.push_back(i + ); res.push_back(mid + ); return res;}
}
} return res;
}
};
    • 结果

aaarticlea/png;base64,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" alt="" width="680" height="330" />

  • 双指针
    • 实现
 class Solution {
public:
vector<int> twoSum(vector<int>& A, int target) {
vector<int> res;
int left = , right = A.size() - ; while (left < right) {
if (A[left] + A[right] < target) left++;
else if (A[left] + A[right] > target) right--;
else {res.push_back(left + ), res.push_back(right + ); return res;};
} return res;
}
};
    • 结果

aaarticlea/png;base64,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