Pascal’s Triangle
In mathematics, Pascal’s triangle is a triangular array of the binomial coefficients. It can also be viewed as: each number in Pascal’s triangle is the sum of the two numbers directly above it.
Category: Algorithms
Number of ways to climb a stair having n steps – LeetCode Solution [Easy]
You are climbing a staircase. It has n steps upto the top. Each time you can either climb 1 step or 2 steps. You’ve to find the number of ways to climb the stair.
Huffman Code Explained using Heap [Introduction to Algorithms book]
Huffman codes are a widely used technique for compressing data. Huffman codes is a greedy algorithm to build up an optimal way of representing each character as a binary string. Suppose we have a 10,000 character data file that we wish to store. And we observe a character ‘a’ occurs very frequently.
Find number of subarrays with given sum (Non-negative numbers) [Sliding window]
Given an array of non-negative integers arr and an integer k, return the total number of continuous subarrays whose sum equals to k.
Find maximum sum of contiguous subarray of size k [Sliding Window]
You’re given an array of size N. You’ve to find the maximum sum obtained from a contiguous subarray of size k of the given array, where k <= N.
Subset with a given sum and number of subsets
You are given an array of non-negative integers, you have to find the number of subsets having sum equal to the given sum. Subset needs not to be contiguous.
Tower of Babylon Solution – SPOJ.com
Given n different types of blocks. Each one of them may be duplicated as many times as you like. Each type has a height y, a width x and a depth z.
Matrix-chain multiplication
We are given a sequence (chain) (M1, M2, M3…Mn) of n matrices to be multiplied and we need to find the most efficient way to multiply these matrices together.
Longest Common Subsequence Solution
The longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to given two sequences. LCS problem is used to determine how similar the two DNA strands are.
Longest Increasing Subsequence Solution (LIS) – LeetCode Solution [Medium]
Given an integer array arr, return the length of the longest strictly increasing subsequence. Strictly increasing sequence is a sequence such that all elements of the sequence are sorted in increasing order.