Problem Description Given n items of known weights (w1,….,wn) and values (v1,…,vn) and a knapsack of capacity W, find the most valuable subset of the items that fit into the knapsack. The 0-1 Knapsack Problem can be solved using the brute-force exhaustive search technique where you must find all 2n […]

Give change for amount (n) using the minimum number of coins of denominations (d1 < d2 < … < dm).  There is also a greedy algorithm to solve this problem but this post is on the dynamic programming technique algorithm.  In this problem, we assume that there is an unlimited […]