Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it is able to trap after raining. The above elevation map is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. Thanks Marcos for contributing this image! Example: Input: [0,1,0,2,1,0,1,3,2,1,2,1] Output: … Continue reading Trapping Rain Water

# Category: Dynamic programming

## Minimum Jumps – Dynamic Programming

Given an array of integers where each element represents the max number of steps that can be made forward from that element. Print the minimum number of jumps to reach the end of the array (starting from the first element). If an element is 0, then cannot move through that element. Input Format n, size … Continue reading Minimum Jumps – Dynamic Programming

## Count Subsequences

Given a string, count the number of distinct subsequences of it ( including empty subsequence ). For the uninformed, A subsequence of a string is a new string which is formed from the original string by deleting some of the characters without disturbing the relative positions of the remaining characters. For example, "AGH" is a … Continue reading Count Subsequences

## Max Sum K – Partition

Agarwal has a habit of creating Ajeeb Samasya as usual and Shubham always comes to his rescue. This is time he has created another samasya which is as follows. Read carefully! Shubham has an array of N integers and an integer K. He wants to create a subsequence of this array with some conditions applied. … Continue reading Max Sum K – Partition

## Best Time to Buy and Sell Stock – Easy Problem

Say you have an array for which the ith element is the price of a given stock on day i. If you were only permitted to complete at most one transaction (i.e., buy one and sell one share of the stock), design an algorithm to find the maximum profit. Note that you cannot sell a stock before you … Continue reading Best Time to Buy and Sell Stock – Easy Problem

## Palindromic Queries

Given a string s and m queries . Each query consists of (l,r) where 1 <= l <= r <= n(size of string). You need to print whether l to r is a palindromic string or not. A string can be called palindrome if its reverse is same as itself . Ex - "aba" .Input … Continue reading Palindromic Queries

## Word Break

Given a non-empty string s and a dictionary wordDict containing a list of non-empty words, determine if s can be segmented into a space-separated sequence of one or more dictionary words. Note: The same word in the dictionary may be reused multiple times in the segmentation.You may assume the dictionary does not contain duplicate words. Example 1: Input: s = "leetcode", wordDict = ["leet", "code"] … Continue reading Word Break

## Unique Binary Search Trees : Catalan Numbers

Count no of BST's that can be formed using N nodes numbered from 1,2,3,....n. Example: Input: 3 Output: 5 Explanation: Given n = 3, there are a total of 5 unique BST's: 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 … Continue reading Unique Binary Search Trees : Catalan Numbers

## Lexicographical Numbers : Beauty of DFS

Given an integer n, return 1 - n in lexicographical order. For example, given 13, return: [1,10,11,12,13,2,3,4,5,6,7,8,9]. Please optimize your algorithm to use less time and space. The input size may be as large as 5,000,000. See the beauty of DFS Solution import java.util.*; public class Main { public static void main(String args[]) { // Your Code Here … Continue reading Lexicographical Numbers : Beauty of DFS

## Coin Change

You are given coins of different denominations and a total amount of money amount. Write a function to compute the fewest number of coins that you need to make up that amount. If that amount of money cannot be made up by any combination of the coins, return -1. Example 1: Input: coins = [1, 2, 5], … Continue reading Coin Change

## Climbing Stairs

You are climbing a stair case. It takes n steps to reach to the top. Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top? Note: Given n will be a positive integer. Example 1: Input: 2 Output: 2 Explanation: There are two ways to climb to the top. … Continue reading Climbing Stairs

## Longest Increasing Subsequence

Given an unsorted array of integers, find the length of longest increasing subsequence. Example: Input: [10,9,2,5,3,7,101,18] Output: 4 Explanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4. Note: There may be more than one LIS combination, it is only necessary for you to return the length.Your algorithm should run in O(n2) complexity. … Continue reading Longest Increasing Subsequence

## Minimum Edit Distance

Hi geeks! In this article, we going to see about Minimum Edit Distance problem with Dynamic Programming Approach. Given two words word1 and word2, find the minimum number of operations required to convert word1 to word2. You have the following 3 operations permitted on a word: Insert a characterDelete a characterReplace a character Example 1: Input: word1 = "horse", word2 = … Continue reading Minimum Edit Distance