The longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence’s elements are in sorted order, lowest to highest, and in which the subsequence is as long as possible. This subsequence is not necessarily contiguous, or unique.
Given an array of integers, find the maximum sum of subsequence of given array where subsequence contains no adjacent elements.
Given an array of integers, find contiguous subarray within it which has the largest sum.
Word Break Problem: Given a string and a dictionary of words, determine if string can be segmented into a space-separated sequence of one or more dictionary words.
Find optimal cost to construct binary search tree where each key can repeat several times. We are given frequency of each key in same order as corresponding keys in inorder traversal of a binary search tree.
Given a M x N matrix where each cell can have value of 1, 0 or -1, where -1 denotes a unsafe cell, collect maximum number of ones starting from first cell and by visiting only safe cells (i.e. 0 or 1). We are allowed to go only left or down if the row is …
Given a pattern, count number of times the pattern appears in the given string as a subsequence.
Longest Alternating Subsequence is a problem of finding a subsequence of a given sequence in which the elements are in alternating order, and in which the sequence is as long as possible.
Given an unlimited supply of coins of given denominations, find the total number of distinct ways to get a desired change.
Given an unlimited supply of coins of given denominations, find the minimum number of coins required to get a desired change.
Given a rod of length n, find the optimal way to cut rod into smaller rods in order to maximize product of price of each of the smaller rod. Assume each rod of length i has price i.
Given a rod of length n and list of prices of rod of length i where 1 < = i