Longest Alternating Subsequence problem 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. In order words, find the length of longest subsequence with alternate low and high elements.
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
Given a positive integer N, count all N-digit binary strings without any consecutive 1’s.
Given a set of positive integers S, partition the set S into two subsets S1, S2 such that the difference between the sum of elements in S1 and the sum of elements in S2 is minimized.
Given a set of positive integers and an integer s, is there any non-empty subset whose sum to s.
Given a set of positive integers, find if it can be divided into two subsets with equal sum.
Given an array A, maximize value of the expression (A[s] – A[r] + A[q] – A[p]) where p, q, r and s are indexes of the input array and s > r > q > p.
Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. Items are indivisible; you either take an item or …
Given a M x N matrix where each cell have non-negative cost associated with it, count number of paths to reach last cell (M-1, N-1) of the matrix from its first cell (0, 0) such that path has given cost. We can only move one unit right or one unit down from any cell. i.e. …