Tag: knapsack

Dynamic Programming 01 Knapsack Problem

01 Backpack Problem 1. 【Template】01 Backpack 2. Split equal-sum subsets 3. Objectives and 4. The weight of the last stone II 01 The knapsack problem is a dynamic programming problem that is used to solve the combination of items with the greatest value in a limited-capacity knapsack. Specific steps are as follows: Define a two-dimensional […]

Dynamic Programming: Knapsack Problem

01 Backpack Problem: Each item can only be used once Two-dimensional approach: #include<iostream> using namespace std; const int MAXN = 1005; int v[MAXN]; // volume int w[MAXN]; // value int f[MAXN][MAXN]; // f[i][j], the maximum value of the first i items in volume j int main() { int n, m; //number of items, backpack capacity […]

[Dynamic Programming 0-1 Knapsack Problem]

[Problem description] 0-1 knapsack problem: given n items and a knapsack. The weight of item i is wi, its value is vi, and the capacity of the backpack is c. How should I choose the items to put in the backpack so that the total value of the items in the backpack is maximized? When […]

Knapsack problem in dynamic programming (01 Knapsack)

Introduction: A long time ago, there was a king who owned five gold mines. Each gold mine had different gold reserves and required a different number of workers to participate in the excavation. For example, some gold mines have a reserve of 500kg of gold and require 5 workers to dig; some gold mines have […]

knapsack problem (python)

# # Backpack problem # # 01 Backpack # ## Memorized search from collections import Counter, defaultdict from typing import List # Recursive optimization n, m = map(int, input().split()) a = [] for _ in range(n): v, w = map(int, input().split()) a.append((v, w)) f = [0] * (1 + m) # v,w volume, value for […]

Computer Algorithm Analysis and Design (11)—Greedy Algorithm (Activity Arrangement Problem and Knapsack Problem)

Article directory 1. Overview of Greedy Algorithm 2. Event arrangement issues 2.1 Problem overview 2.2 Code writing 3. Backpack Problem 3.1 Problem description 3.2 Code writing 1. Overview of greedy algorithm ?1. Definition of greedy algorithm: Greedy algorithm means that when solving a problem, always make the best choice at present. In other words, we […]

[Algorithm-Dynamic Programming] 0-1 knapsack problem

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C++ Algorithm – Dynamic Programming (9) Complete Knapsack Problem

Article directory 1. Introduction to the idea of moving rules 2. Complete backpack [template] 3. Change exchange 4. Change exchange Ⅱ 5. Perfect square numbers The knapsack problem requires readers to first understand what dynamic programming is and understand the ideas of dynamic programming, which cannot be taught to those who are new to dynamic […]