One-stroke problem

The one stroke problem is a classic mathematical problem that aims to return to the starting point after passing through all points without repetition. To determine whether a single stroke is possible, it is necessary to ensure that the number of odd degree vertices in the shape is 0 or 2 (with Euler traces present). In the field of logistics, the one stroke problem can be used to plan routes and optimize delivery routes.

The unit is designed for unsupervised public use: controls are recessed or shielded, moving parts are enclosed, and the interface is operable by a child of about six with no instruction. Where a screen is used, the language can be switched without changing the hardware, and the content can be replaced on site.

The one stroke problem is a classic mathematical problem, whose goal is to draw a line with one stroke, passing through all points in the graph without repeating any points, and finally returning to the starting point. This question can be applied to various scenarios and graphics, such as floor plans, mazes, intersections, etc. Solving this problem requires the use of mathematical graph theory knowledge and computer algorithms. Generally speaking, by traversing all nodes in the graph, it is ensured that each node is visited once, and after each visit, the node is marked as visited. Then, the next unvisited node can be selected for access through recursion or looping. If all nodes have been visited and eventually returned to the starting point, it proves that the problem has a solution; otherwise, there is no solution. For complex graphics, it may be necessary to use more complex algorithms such as depth first search (DFS), breadth first search (BFS), or backtracking algorithms. One stroke is actually searching for Euler's trace. If.