幻方的实现方法研究

用3种不同的构造法可以生成奇阶、单偶阶和双偶阶三类不同的幻方。以全排列为基础，可以求出全部8个三阶幻方。为了求出全部四阶幻方，先找出1至16中和为34的四个数字组合，共有2064组。该文提出了两个求解全部四阶幻方的算法。算法一先确定一列，再确定4行。算法二先确定两列，再确定4行。四阶幻方共有7040个，其中880个无重复。算法二比算法一效率高得多，表明增加循环之前的检验之后，程序运行的速度大大提高了。

Research on Magic Square Method for Programmer

Three different methods are used to structure three different kinds of magic squares in this paper: odd order, single-even order and doubly even order. Based on full permutation, All the third-order magic square are found, a total of 8. In order to get all the fourth-order magic square, firstly, identify the group containing 4 elements the sum of which is 34. There are 2064 such groups. This paper provides two algorithms to calculate all the fourth-order magic squares. Algorithm I first determine one column...