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# 173. Binary Search Tree Iterator
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- Difficulty: Medium.
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- Related Topics: Stack, Tree, Design.
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- Similar Questions: Binary Tree Inorder Traversal, Flatten 2D Vector, Zigzag Iterator, Peeking Iterator, Inorder Successor in BST.
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## Problem
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Implement an iterator over a binary search tree (BST). Your iterator will be initialized with the root node of a BST.
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Calling ```next()``` will return the next smallest number in the BST.
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*Note:* ```next()``` and ```hasNext()``` should run in average O(1) time and uses O(*h*) memory, where *h* is the height of the tree.
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**Credits:**Special thanks to @ts for adding this problem and creating all test cases.
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## Solution
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```javascript
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/**
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* Definition for binary tree
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* function TreeNode(val) {
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* this.val = val;
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* this.left = this.right = null;
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* }
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*/
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/**
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* @constructor
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* @param {TreeNode} root - root of the binary search tree
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*/
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var BSTIterator = function(root) {
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this.stack = [];
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this.pushAll(root);
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};
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/**
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* @this BSTIterator
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* @returns {boolean} - whether we have a next smallest number
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*/
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BSTIterator.prototype.hasNext = function() {
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return this.stack.length !== 0;
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};
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/**
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* @this BSTIterator
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* @returns {number} - the next smallest number
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*/
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BSTIterator.prototype.next = function() {
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var node = this.stack.pop();
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this.pushAll(node.right);
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return node.val;
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};
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/**
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* Your BSTIterator will be called like this:
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* var i = new BSTIterator(root), a = [];
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* while (i.hasNext()) a.push(i.next());
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*/
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BSTIterator.prototype.pushAll = function (node) {
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while (node) {
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this.stack.push(node);
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node = node.left;
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}
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};
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```
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**Explain:**
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nope.
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**Complexity:**
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* Time complexity :
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* Space complexity :

101-200/174. Dungeon Game.md

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# 174. Dungeon Game
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- Difficulty: Hard.
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- Related Topics: Binary Search, Dynamic Programming.
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- Similar Questions: Unique Paths, Minimum Path Sum, Cherry Pickup.
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## Problem
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The demons had captured the princess (**P**) and imprisoned her in the bottom-right corner of a dungeon. The dungeon consists of M x N rooms laid out in a 2D grid. Our valiant knight (**K**) was initially positioned in the top-left room and must fight his way through the dungeon to rescue the princess.
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The knight has an initial health point represented by a positive integer. If at any point his health point drops to 0 or below, he dies immediately.
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Some of the rooms are guarded by demons, so the knight loses health (**negative** integers) upon entering these rooms; other rooms are either empty (**0's**) or contain magic orbs that increase the knight's health (**positive** integers).
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In order to reach the princess as quickly as possible, the knight decides to move only rightward or downward in each step.
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**Write a function to determine the knight's minimum initial health so that he is able to rescue the princess.**
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For example, given the dungeon below, the initial health of the knight must be at least **7** if he follows the optimal path ```RIGHT-> RIGHT -> DOWN -> DOWN```.
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| | | |
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| -- | -- | -- |
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| -2 (K) | -3 | 3 |
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| -5 | -10 | 1 |
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| 10 | 30 | -5 (P) |
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**Note:**
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- The knight's health has no upper bound.
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- Any room can contain threats or power-ups, even the first room the knight enters and the bottom-right room where the princess is imprisoned.
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## Solution
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```javascript
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/**
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* @param {number[][]} dungeon
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* @return {number}
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*/
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var calculateMinimumHP = function(dungeon) {
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var m = dungeon.length;
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var n = dungeon[0].length;
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var dp = Array(m + 1).fill(0).map(_ => Array(n + 1).fill(Number.MAX_SAFE_INTEGER));
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var tmp = 0;
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dp[m][ n - 1] = 1;
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dp[m - 1][n] = 1;
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for (var i = m - 1; i >= 0; i--) {
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for (var j = n - 1; j >= 0; j--) {
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tmp = Math.min(dp[i][j + 1], dp[i + 1][j]) - dungeon[i][j];
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dp[i][j] = tmp <= 0 ? 1 : tmp;
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}
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}
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return dp[0][0];
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};
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```
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**Explain:**
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nope.
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**Complexity:**
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* Time complexity : O(m*n).
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* Space complexity : O(m*n).

101-200/175. Combine Two Tables.md

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# 175. Combine Two Tables
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- Difficulty: Easy.
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- Related Topics: .
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- Similar Questions: Employee Bonus.
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## Problem
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Table: ```Person```
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```
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+-------------+---------+
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| Column Name | Type |
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+-------------+---------+
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| PersonId | int |
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| FirstName | varchar |
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| LastName | varchar |
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+-------------+---------+
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PersonId is the primary key column for this table.
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```
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Table: ```Address```
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```
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+-------------+---------+
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| Column Name | Type |
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+-------------+---------+
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| AddressId | int |
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| PersonId | int |
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| City | varchar |
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| State | varchar |
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+-------------+---------+
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AddressId is the primary key column for this table.
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```
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Write a SQL query for a report that provides the following information for each person in the Person table, regardless if there is an address for each of those people:
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```
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FirstName, LastName, City, State
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```
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## Solution
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```sql
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# Write your MySQL query statement below
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select a.FirstName, a.LastName, b.City, b.State from Person a left join Address b on a.PersonId = b.PersonId;
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```
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**Explain:**
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nope.
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**Complexity:**
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* Time complexity :
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* Space complexity :

101-200/176. Second Highest Salary.md

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# 176. Second Highest Salary
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- Difficulty: Easy.
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- Related Topics: .
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- Similar Questions: .
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## Problem
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Write a SQL query to get the second highest salary from the ```Employee``` table.
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```
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+----+--------+
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| Id | Salary |
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+----+--------+
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| 1 | 100 |
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| 2 | 200 |
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| 3 | 300 |
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+----+--------+
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```
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For example, given the above Employee table, the query should return ```200``` as the second highest salary. If there is no second highest salary, then the query should return ```null```.
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```
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+---------------------+
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| SecondHighestSalary |
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+---------------------+
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| 200 |
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+---------------------+
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```
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## Solution
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```javascript
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# Write your MySQL query statement below
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select max(Salary) as SecondHighestSalary from Employee where Salary < (select max(Salary) from Employee)
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```
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**Explain:**
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nope.
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**Complexity:**
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* Time complexity :
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* Space complexity :

101-200/177. Nth Highest Salary.md

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# 177. Nth Highest Salary
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- Difficulty: Medium.
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- Related Topics: .
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- Similar Questions: .
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## Problem
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Write a SQL query to get the **n**th highest salary from the ```Employee``` table.
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```
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+----+--------+
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| Id | Salary |
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+----+--------+
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| 1 | 100 |
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| 2 | 200 |
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| 3 | 300 |
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+----+--------+
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```
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For example, given the above Employee table, the **n**th highest salary where **n** = 2 is ```200```. If there is no **n**th highest salary, then the query should return ```null```.
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```
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+------------------------+
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| getNthHighestSalary(2) |
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+------------------------+
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| 200 |
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+------------------------+
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```
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## Solution
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```sql
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CREATE FUNCTION getNthHighestSalary(N INT) RETURNS INT
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BEGIN
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RETURN (
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# Write your MySQL query statement below.
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SELECT DISTINCT Salary FROM Employee ORDER BY Salary DESC LIMIT M, 1
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);
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END
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```
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**Explain:**
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nope.
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**Complexity:**
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* Time complexity :
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* Space complexity :

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