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## H. Hankel Matrix

Time limit: 1.0 second
Memory limit: 64 MB
A Hankel matrix is a matrix of the following form:
Find an integer Hankel matrix of the given size with all non-negative elements and with determinant equal to one. Moreover, all its square submatrices containing upper left cell must also have determinant equal to one.

### Input

Input contains the size of the matrix n, 1 ≤ n ≤ 100.

### Output

Output non-negative integers α1, α2, …, α2n−1 from which the matrix is built, one per line. All αi shouldn't have more than 300 decimal digits. You may assume that such numbers always exist.

### Samples

inputoutput
```1
```
```1
```
```2
```
```1
6
37
```
```3
```
```1
3
10
7
630
```
Problem Source: SPbSU ITMO contest. Petrozavodsk training camp. Winter 2008.
To submit the solution for this problem go to the Problem set: 1625. Hankel Matrix