Codeforces 39H

Codeforces 39H - Multiplication-Table

Multiplication-Table
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.

Input:

The first line contains a single integer k (2 ≤ k ≤ 10) — the radix of the system.

Output:

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).

範例:

input:

10

output:

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

input:

3

output:

1  2
2 11

Note:

題意:

製作一個乘法表，而這個乘法表會是 (k-1)*(k-1) 的形式，而成出的數都是K進位，試著列出乘法表的數 (k不會大於10)。

思路:

建立乘法表，唯一的難點在轉進位，其他應該沒甚麼問題。

轉進位只需要用10進位不斷的對要轉的進位取餘數之後逆著串起來就行了。

程式碼: