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题目描述
蛇形矩阵是由1开始的自然数依次排列成的一个矩阵上三角形。
输入
本题有多组数据,每组数据由一个正整数N组成。(N不大于100)
输出
对于每一组数据,输出一个N行的蛇形矩阵。两组输出之间不要额外的空行。矩阵三角中同一行的数字用一个空格分开。行尾不要多余的空格。
样例输入
5
样例输出
1 3 6 10 15 2 5 9 14 4 8 13 7 12 11
我们从二维数组的方式看这个矩阵:(找规律)
为了实现这个读入方法,我们发现每次读入的数组之间存在一定的关系:
在第一次的双层循环中,是为了实现这个二维数组。
再下一次的双层循环中,是为了输出这个倒三角
public static void main(String[] args) { int[][] arr = new int[100][100];
Scanner sc = new Scanner(System.in); int n = sc.nextInt(); int k = 1; for (int
i = 1; i <= n; i++) { for (int j = 0; j < i; j++) { arr[i-1-j][j] = k; k++; } }
int t = 0; for (int i = 0; i < n; i++, t++) { for (int j = 0; j < n-t; j++) {
System.out.print(arr[i][j] + " "); if(i + j == n - 1) { System.out.println(); }
} } }
输出结果: