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第一讲:蛇形矩阵
2022-07-05 22:27:00 【奋斗吧!骚年!】
题目:AcWing 756. 蛇形矩阵
输入两个整数 n 和 m,输出一个 n 行 m 列的矩阵,将数字 1 到 n×m 按照回字蛇形填充至矩阵中。
具体矩阵形式可参考样例。
输入格式
输入共一行,包含两个整数 n 和 m。
输出格式
输出满足要求的矩阵。
矩阵占 n 行,每行包含 m 个空格隔开的整数。
数据范围
1≤n,m≤100
输入样例:
3 3
输出样例:
1 2 3
8 9 4
7 6 5
题目分析:
这道题主要使用x、y的偏移量
比如(x,y)如果想往下走那么就是(x+1,y+0),其它方向同理
如果换方向?
使用数组保存四个方向的偏移量,如果换方向数组下标+1模4即可。
#include <iostream>
using namespace std;
const int N = 105;
int a[N][N];
int dx[]={
0,1,0,-1}; // 右下左上
int dy[]={
1,0,-1,0};
int main()
{
int n,m;
cin>>n>>m;
int x=0,y=0,d=0;
for(int i=1;i<=n*m;i++)
{
a[x][y]=i;
x+=dx[d],y+=dy[d]; // 进行移动
if(x<0||y<0||x>=n||y>=m||a[x][y])
{
x-=dx[d],y-=dy[d]; //如果移动失败需要恢复原状
d=(d+1)%4;
x+=dx[d],y+=dy[d]; // 再次移动
}
}
for(int i=0;i<n;i++)
{
for(int j=0;j<m;j++)cout<<a[i][j]<<' ';
cout<<endl;
}
return 0;
}
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