Kong Qiming is a traditional board game in China, and its mathematical principles mainly involve graph theory and combinatorial mathematics.

1. The basic structure and graph theory of Kong Qiming

Kong Qiming is composed of a square chessboard and several pieces with different shapes, each of which has different moving modes and special abilities. From the perspective of graph theory, Kong Qiming can be regarded as a directed graph. Every position on the chessboard is a node in the graph, and the movement between chess pieces corresponds to the edge in the graph. Through the analysis of graph theory, we can study various situations and solutions of holes.

2. The chess evaluation and optimal solution of Kong.

An important mathematical principle of solving the hole problem is the evaluation of chess. By defining an appropriate evaluation function, we can score a given game and judge the quality of the current game. This evaluation function is usually based on the position and characteristics of chess pieces and the relative strength of both sides. In Kong's view, we hope to find an optimal solution, that is, a solution that achieves the best chess state.

3. Application of Combinatorial Mathematics in Holes

Combinatorial mathematics is also one of the important mathematical tools to study Kong Qiming. Through the method of combinatorial mathematics, we can calculate the situation of Kong Qiming and the number of solutions, thus evaluating its complexity. For example, we can use the idea of permutation and combination to calculate the placement of different shapes of chess pieces in different positions, and then calculate all possible situations on the whole chessboard.

4. The shortest path algorithm and the solution of Kong Qiming.

When solving the problem of Kong Qiming, the shortest path algorithm is also one of the commonly used mathematical tools. The shortest path algorithm can help us find the shortest path from the initial state to the target state, that is, to find the order of moving pieces, so that the whole chess game can reach the best state. Dijkstra algorithm and A* algorithm are commonly used in these algorithms, which are based on the idea of graph theory and play an important role in solving Kong Qiming.

Conclusion: To sum up, Kong Qiming's mathematical principles involve graph theory, combinatorial mathematics, shortest path algorithm and many other fields. Understanding and applying these mathematical principles can help us better solve the problem of Kong Qiming and deeply explore its mathematical mystery.