CF39H.Multiplication Table
普及-
通过率:0%
时间限制:2.00s
内存限制:64MB
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题目描述
Petya studies positional notations. He has already learned to add and subtract numbers in the systems of notations with different radices and has moved on to a more complicated action — multiplication. To multiply large numbers one has to learn the multiplication table. Unfortunately, in the second grade students learn only the multiplication table of decimals (and some students even learn it in the first grade). Help Petya make a multiplication table for numbers in the system of notations with the radix k.
佩佳正在学习进位制表示法。他已掌握了在不同进制下进行加减运算的方法,现在开始学习更复杂的运算——乘法。要乘以大数,必须先掌握乘法表。不幸的是,二年级学生只学习十进制的乘法表(有些学生甚至在一年级就学了)。请帮助佩佳制作一个以 k 为进制的乘法表。
输入格式
The first line contains a single integer k (2 ≤ k ≤ 10) — the radix of the system.
第一行包含一个整数 k(2≤k≤10)——该进制系统的基数。
输出格式
Output the multiplication table for the system of notations with the radix k. The table must contain k - 1 rows and k - 1 columns. The element on the crossing of the i-th row and the j-th column is equal to the product of i and j in the system of notations with the radix k. Each line may have any number of spaces between the numbers (the extra spaces in the samples are put for clarity).
输出以基数 k 表示的乘法表。该表应包含 k−1 行和 k−1 列。第 i 行与第 j 列交叉处的元素等于 i 与 j 在以基数 k 表示下的乘积。每行中数字之间可有任意数量的空格(样例中的额外空格仅为清晰起见)。
输入输出样例
输入#1
10
输出#1
1 2 3 4 5 6 7 8 9 2 4 6 8 10 12 14 16 18 3 6 9 12 15 18 21 24 27 4 8 12 16 20 24 28 32 36 5 10 15 20 25 30 35 40 45 6 12 18 24 30 36 42 48 54 7 14 21 28 35 42 49 56 63 8 16 24 32 40 48 56 64 72 9 18 27 36 45 54 63 72 81
输入#2
3
输出#2
1 2 2 11
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