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

D. Strange town

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVolodya has recently visited a very odd town. There are *N* tourist attractions in the town and every two of them are connected by a bidirectional road. Each road has some travel price (natural number) assigned to it and all prices are distinct. But the most striking thing about this town is that each city sightseeing tour has the same total price! That is, if we choose any city sightseeing tour — a cycle which visits every attraction exactly once — the sum of the costs of the tour roads is independent of the tour. Volodya is curious if you can find such price system with all road prices not greater than 1000.

Input

Input contains just one natural number (3 ≤ *N* ≤ 20) — the number of town attractions.

Output

Output should contain *N* rows containing *N* positive integer numbers each — the adjacency matrix of the prices graph (thus, *j*-th number in *i*-th row should be equal to the price of the road between the *j*-th and the *i*-th attraction). Diagonal numbers should be equal to zero. All numbers should not be greater than 1000. All prices should be positive and pairwise distinct. If there are several solutions, output any of them.

Examples

Input

3

Output

0 3 4

3 0 5

4 5 0

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Sep/25/2017 19:45:30 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|