title: ÐÐµÐ½ÐµÑÐ°ÑÐ¸Ñ ÑÑÐµÐ±Ð½ÑÑ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹ Ð½Ð° Ð¿Ð¾Ð¸ÑÐº Ð² Ð³Ð»ÑÐ±Ð¸Ð½Ñ Ð¸ ÑÐ¸ÑÐ¸Ð½Ñ Ð² Ð³ÑÐ°ÑÐ°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: The generation of educational problems on depth-first search and breadth-first search in graphs
Creators: name: Ð©ÑÑÐ¸ÑÐ¸Ð½, Ð¯ÑÐ¾ÑÐ»Ð°Ð²
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð³ÑÐ°ÑÑ
Ð¿Ð¾Ð¸ÑÐº Ð² Ð³Ð»ÑÐ±Ð¸Ð½Ñ
Ð¿Ð¾Ð¸ÑÐº Ð² ÑÐ¸ÑÐ¸Ð½Ñ
Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ ÑÑÐµÐ±Ð½ÑÑ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹
graphs
depth-first search
breadth-first search
educational problems generator

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ ÑÑÐµÐ±Ð½ÑÑ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹ Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð²Ð¸Ð´Ð° Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿Ð¾Ð¸ÑÐºÐ° Ð² Ð³Ð»ÑÐ±Ð¸Ð½Ñ Ð¸ Ð¿Ð¾Ð¸ÑÐºÐ° Ð² ÑÐ¸ÑÐ¸Ð½Ñ Ð² Ð³ÑÐ°ÑÐ°Ñ. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¸Ð²Ð¾Ð´ÑÑÑÑ Ð±Ð°Ð·Ð¾Ð²ÑÐµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¾ Ð³ÑÐ°ÑÐ°Ñ, Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð² Ð³Ð»ÑÐ±Ð¸Ð½Ñ Ð¸ ÑÐ¸ÑÐ¸Ð½Ñ. Ð¢Ð°ÐºÐ¶Ðµ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸ÑÑÑ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð¾Ð² Ðº ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð² ÑÑÐµÐ±Ð½ÑÑ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹. ÐÑÐ¸Ð²Ð¾Ð´Ð¸ÑÑÑ ÑÐ°Ð±Ð»Ð¾Ð½ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ Ð¸ Ð²ÑÑÐ¾ÐºÐ¾ÑÑÐ¾Ð²Ð½ÐµÐ²Ð°Ñ ÑÐ¿ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ° Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ¾ÑÐ¾ÑÑÑ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð°-Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð³ÐµÐ½ÐµÑÐ¸ÑÑÐµÑ LaTeX-ÑÐ°Ð¹Ð» Ñ ÑÑÐµÐ±Ð½ÑÐ¼ Ð·Ð°Ð´Ð°Ð½Ð¸ÐµÐ¼. Ð¢Ð°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð³Ð¸Ð±ÐºÐ¾ Ð½Ð°ÑÑÑÐ°Ð¸Ð²Ð°ÑÑ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ñ ÑÐµÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ. ÐÐ¿Ð¸ÑÑÐ²Ð°ÑÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð´Ð»Ñ ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð³ÑÐ°ÑÐ° Ð² LaTeX, Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ Ð³ÑÐ°ÑÐ°, ÑÐºÐ°Ð·ÑÐ²Ð°ÐµÐ¼Ð¾Ð³Ð¾ Ð² ÑÑÐ»Ð¾Ð²Ð¸Ð¸ ÑÑÐµÐ±Ð½Ð¾Ð³Ð¾ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ, Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð²ÑÐµÑ Ð´ÐµÑÐµÐ²ÑÐµÐ² Ð¿Ð¾Ð¸ÑÐºÐ° Ð² Ð³Ð»ÑÐ±Ð¸Ð½Ñ Ð¸Ð· Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð²ÐµÑÑÐ¸Ð½Ñ Ð³ÑÐ°ÑÐ°, Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð²ÑÐµÑ Ð´ÐµÑÐµÐ²ÑÐµÐ² Ð¿Ð¾Ð¸ÑÐºÐ° Ð² ÑÐ¸ÑÐ¸Ð½Ñ Ð¸Ð· Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð²ÐµÑÑÐ¸Ð½Ñ Ð³ÑÐ°ÑÐ°. ÐÐ²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ ÑÐ½Ð¸Ð¶Ð°ÐµÑ Ð¾Ð±ÑÐµÐµ Ð²ÑÐµÐ¼Ñ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°ÑÐµÐ»Ñ Ð½Ð° Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÑ ÑÐµÑÑÐ¾Ð².
description: The work is devoted to generation of educational problems of one kind on the example of depth-first and breadth-first search algorithms in graphs. The work contains basic theoretical information about graphs, depth-first search and breadth-first search algorithms. It also analyzes existing software solutions and approaches to the development of generators of educational problems. A problem template and a high-level specification of the problem generator are given, based on which the generator program was developed. The developed program generates a LaTeX-file with an educational problem. The program also allows flexible customization of educational problem generation. The work describes the algorithms developed for drawing graphs in LaTeX, generating the graph specified in the educational problem, finding all DFS trees from a given vertex of the graph, and finding all BFS trees from a given vertex of the graph. Automation of generation reduces the total time of the teacher for test preparation.