Find the minimum path at each node (person) to exchange gifts.<\/li>\n<\/ol>\nC++ Code Implementation<\/h2>\n
Now, let’s solve the problem with C++ code. The code below is an example that implements gift exchange among people based on the given conditions.<\/p>\n
\n \n#include <iostream>\n#include <vector>\n#include <queue>\n#include <algorithm>\n\nusing namespace std;\n\nstruct Person {\n int id;\n vector<int> gifts;\n};\n\n\/\/ Graph structure for gift exchange\nvoid giftExchange(vector<Person> &people) {\n queue<int> q;\n vector<bool> received(people.size(), false);\n\n \/\/ Find people who have not received gifts and add them to the queue\n for (int i = 0; i < people.size(); ++i) {\n if (people[i].gifts.empty()) {\n q.push(i);\n }\n }\n\n while (!q.empty()) {\n int current = q.front();\n q.pop();\n \n for (int giftRecipient : people[current].gifts) {\n if (!received[giftRecipient]) {\n cout << \"Person \" << current << \" has delivered a gift to person \" << giftRecipient << \"!\" << endl;\n received[giftRecipient] = true;\n \/\/ After delivering the gift, add the current person back to the queue\n q.push(giftRecipient);\n }\n }\n }\n}\n\nint main() {\n int n;\n cout << \"Please enter the number of people: \";\n cin >> n;\n vector<Person> people(n);\n\n for (int i = 0; i < n; ++i) {\n people[i].id = i;\n int m;\n cout << \"Please enter the number of gifts person \" << i << \" will give: \";\n cin >> m;\n\n for (int j = 0; j < m; ++j) {\n int giftRecipient;\n cout << \"Please enter the ID of the person who will receive the gift from person \" << i << \": \";\n cin >> giftRecipient;\n people[i].gifts.push_back(giftRecipient);\n }\n }\n\n giftExchange(people);\n return 0;\n}\n <\/code>\n <\/pre>\nCode Explanation<\/h2>\n
The code above implements a C++ program to solve the gift exchange problem. Each person has a list of their gifts, and a queue is used to simulate the exchange process. Starting with those who have never received gifts, the simulation proceeds to properly exchange gifts for each person.<\/p>\n
Code Analysis<\/h3>\n
Let\u2019s analyze the code step by step:<\/p>\n
\n- Structure Definition:<\/strong> The
struct Person<\/code> stores the ID of a person and the information about the gifts they will give.<\/li>\n- Queue Initialization:<\/strong> Finds those who have not received gifts and adds them to the queue.<\/li>\n
- Loop:<\/strong> Extracts each person from the queue one by one and processes the gift exchange.<\/li>\n<\/ul>\n
Key Concept Explanation<\/h2>\n
This problem helps to understand the following algorithmic concepts:<\/p>\n
\n- BFS Search:<\/strong> Simulates the gift exchange process using the Breadth-First Search (BFS) algorithm.<\/li>\n
- Graph Modeling:<\/strong> Models the relationships between people and gift exchange in the form of a graph for efficient problem-solving.<\/li>\n<\/ul>\n
Considerations After Solving the Problem<\/h2>\n
After solving the problem, consider asking yourself the following questions:<\/p>\n
\n- What is the time complexity of this algorithm?<\/li>\n
- Were there any alternative approaches?<\/li>\n
- What other problems could be modified or derived from this problem?<\/li>\n<\/ul>\n
Conclusion<\/h2>\n
Preparing for coding tests is important as it helps you experience various problems and improve your algorithm design skills. I hope you could learn graph exploration using DFS and BFS through the “Gift Exchange” problem. Don’t neglect practicing writing efficient code by effectively utilizing the features of the C++ language!<\/p>\n
Next time, I will bring another interesting problem. Thank you!<\/p>\n<\/div>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
Hello, everyone! In this post, we will discuss a C++ algorithm problem called “Gift Exchange.” This problem focuses particularly on testing sequential thinking and algorithm design skills. Problem Description The gift exchange problem models the process of passing gifts among a group of people. You need to solve the problem with the following conditions. 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