#include<iostream>
#include <iomanip>
#include <queue>
using namespace std;

//在某一格子的八种走法
int fx[]= {2,1,-1,-2,-2,-1,1,2};
int fy[]= {-1,-2,-2,-1,1,2,2,1};

typedef struct
{
    int x,y; //坐标
    int number; //序号
} Point; //棋盘中的格子

//马周游的棋盘，注意使用的时候是从下表为1开始
Point board[10000][10000];

int n; //棋盘大小
int step =1; //序号

//输出结果
void outputResult(int n)
{
    for(int i=1; i<=n; i++)
    {
        cout<<endl<<endl;
        for(int j=1; j<=n; j++) {
            cout<<setw(3)<<board[i][j].number<<" ";
        } cout<<endl<<endl;
    }
}
bool check(int x,int y) {
    if(x<1 || y<1 || x>n || y>n || board[x][y].number != 0)
        return false;
    return true;
}

//下一位置有多少种走法
int nextPosHasSteps(int x, int y)
{
    int steps = 0;
    for (int i = 0; i < 8; ++i)
    {
        if (check(x + fx[i], y + fy[i]))
            steps++;
    }
    return steps;
}

//非递归的走法
void horseRun(Point point)
{
    queue<Point> pointQueue;
    pointQueue.push(point);

    Point temp;

    while(!pointQueue.empty())
    {
        temp = pointQueue.front();
        pointQueue.pop();

        board[temp.x][temp.y].number = step++;

        int minStep = 8;

        int flag = 0;

        for(int i=0; i<8; i++) //出下一位置走法最少的进入对列
        {
            int x=temp.x + fx[i];
            int y=temp.y + fy[i];

            if(check(x,y))
            {
                if(nextPosHasSteps(x,y) <= minStep)
                {
                    minStep = nextPosHasSteps(x,y);

                    Point t;
                    t.x = x;
                    t.y = y;

                    if(flag) pointQueue.pop();

                    pointQueue.push(t);
                    flag = 1;
                }
            }
        }
    }
}

int main()
{
    cout<<"输入棋盘大小n:";
    cin>>n;

    Point startPoint;
    cout<<"输入马周游起始位置x(1~n),y(1~n):";
    cin>>startPoint.x>>startPoint.y;

    horseRun(startPoint);
    //输出结果
    outputResult(n);
    return 0;
}

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