C算法编程题(四)上三角

时间:2023-03-08 19:19:04
C算法编程题(四)上三角

前言

  上一篇《C算法编程题(三)画表格

  上几篇说的都是根据要求输出一些字符、图案等,今天就再说一个“上三角”,有点类似于第二篇说的正螺旋,输出的字符少了,但是逻辑稍微复杂了点。

程序描述

  方阵的主对角线之上称为“上三角”。
    请你设计一个用于填充n阶方阵的上三角区域的程序。填充的规则是:使用1,2,3….的自然数列,从左上角开始,按照顺时针方向螺旋填充。
    例如:当n=3时,输出:
    1 2 3
    6 4
    5
    当n=4时,输出:
    1  2 3 4
    9 10 5
    8  6
    7
    当n=5时,输出:
      1  2  3  4  5
     12 13 14  6
     11 15  7
     10  8
      9

程序运行时,要求用户输入整数n(3~20)
    程序输出:方阵的上三角部分。
    要求格式:每个数据宽度为4,右对齐。

程序实现

   上三角和正螺旋的图形很相似,不同的是上三角输出的图形是从对角线斜过来的。

  接下来,我们看看能不能从上三角图形中找些规律,有规律、把思路理清了,我们才能更容易用程序来实现所需功能。

  首先我们会发现,输出的上三角和我们输入的行有关,如果输入5行,那就15个数,也就是输入N行,就输出N*(N+1)/2个数;其次和正螺旋一样都是依次递增的,从上三角图形我们可以看到,递增分为三个方向;左->右、右上->左下、下->上。

  先贴下代码:

         for(j=;j<=N*(N+)/;low++,hi--)
{
for(i=low;i<hi-low;i++)
a[low][i]=j++;
for(i=low+;i<hi-low;i++)
a[i][hi-i-]=j++;
for(i=(hi-low)-;i>low;i--)
a[i][low]=j++;
}

  a表示的是输出的二维数组,N表示输入的行数,hi表示的是列的个数,初始化和N一样,N*(N+)/表示的就是上三角的个数,low表示的圈数,这三个for循环的意思就是上面说的三个方向,语句很简单主要是怎么利用参数来表示输出数组的下标。

  话不言多,大家慢慢体会,如果有更好的实现方法,欢迎交流。。。

  完整代码:

 #include "stdio.h"
#include "string.h"
#include "stdlib.h" int main()
{
int low,i,j,hi,N;
int a[][];
while(scanf("%d",&N))
{
if(N==)
break;
low=;
hi=N;
for(j=;j<=N*(N+)/;low++,hi--)
{
for(i=low;i<hi-low;i++)
a[low][i]=j++;
for(i=low+;i<hi-low;i++)
a[i][hi-i-]=j++;
for(i=(hi-low)-;i>low;i--)
a[i][low]=j++;
}
for(i=;i<N;i++)
{
for(j=;j<N-i;j++)
printf("%4d ",a[i][j]);
printf("\n");
}
}
return ;
}

  运行结果:

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" 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