USACO08MAR River Crossing S - Complete Knapsack and Interval DP Solutions

Problem Link Luogu P2904 [USACO08MAR] River Crossing S Approach 1: Copmlete Knapsack DP First, observe the problem constraints. We need to transport all (n) cows across the river, minimizing the total time. Suppose we make (k) trips, and on the (i)-th trip we take (a_i) cows. Then (a_1 + a_2 + \dots + a_k = n). This can be viewed as having (n) ...

Posted on Thu, 30 Jul 2026 16:26:47 +0000 by nblackwood

Dynamic Programming Approaches to Knapsack Problems for Coding Competitions

01 Knapsack Problem Problem Statement Given item_count items and a knapsack with capacity capacity, each item has a weight w and value val. Calculate the maximum total value achievable without exceeding the knapsack capacity. Input Example: 5 20 1 6 2 5 3 8 5 15 3 3 Output Example: 37 Solution Idea The 01 knapsack problem restricts each item ...

Posted on Tue, 21 Jul 2026 17:11:09 +0000 by chrisdarby