Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

H. Multiplication Table

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputPetya 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).

Examples

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

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Dec/17/2017 01:23:46 (c6).

Desktop version, switch to mobile version.

User lists

Name |
---|