Suppose you have two polynomials <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c1f80b9ebc1fff5a90e16efeca54e19f317e54bc.png" style="max-width: 100.0%;max-height: 100.0%;"/> and <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/e93789bf4b5d6fad310adc83d2bb0c83fbb30c44.png" style="max-width: 100.0%;max-height: 100.0%;"/>. Then polynomial <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1403d2add4fc795addbde5a231d1b18b21ee687d.png" style="max-width: 100.0%;max-height: 100.0%;"/> can be uniquely represented in the following way:

This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/6cf750e7b244ea6a686dad217ee3f3b4e31eb81a.png" style="max-width: 100.0%;max-height: 100.0%;"/> denotes the degree of polynomial *P*(*x*). <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4c81bd42c0c44aaaf448ea6ae035fb3e5da7a8b8.png" style="max-width: 100.0%;max-height: 100.0%;"/> is called the remainder of division of polynomial <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1403d2add4fc795addbde5a231d1b18b21ee687d.png" style="max-width: 100.0%;max-height: 100.0%;"/> by polynomial <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/0cf77e402a3ccf9ecc815acb29095e2395e322d3.png" style="max-width: 100.0%;max-height: 100.0%;"/>, it is also denoted as <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/02c2a9fc8f7311b299ac9e974f6fc85c93c4269f.png" style="max-width: 100.0%;max-height: 100.0%;"/>. 

Since there is a way to divide polynomials with remainder, we can define Euclid's algorithm of finding the greatest common divisor of two polynomials. The algorithm takes two polynomials <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c9d3d226b2b68adecb91a880932c223f68759bcc.png" style="max-width: 100.0%;max-height: 100.0%;"/>. If the polynomial <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/0cf77e402a3ccf9ecc815acb29095e2395e322d3.png" style="max-width: 100.0%;max-height: 100.0%;"/> is zero, the result is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1403d2add4fc795addbde5a231d1b18b21ee687d.png" style="max-width: 100.0%;max-height: 100.0%;"/>, otherwise the result is the value the algorithm returns for pair <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/22eb0a74c812483a9fa46cd54a82b7c63e718bce.png" style="max-width: 100.0%;max-height: 100.0%;"/>. On each step the degree of the second argument decreases, so the algorithm works in finite number of steps. But how large that number could be? You are to answer this question. 

You are given an integer *n*. You have to build two polynomials with degrees not greater than *n*, such that their coefficients are integers not exceeding 1 by their absolute value, the leading coefficients (ones with the greatest power of *x*) are equal to one, and the described Euclid's algorithm performs exactly *n* steps finding their greatest common divisor. Moreover, the degree of the first polynomial should be greater than the degree of the second. By a step of the algorithm we mean the transition from pair <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c9d3d226b2b68adecb91a880932c223f68759bcc.png" style="max-width: 100.0%;max-height: 100.0%;"/> to pair <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/22eb0a74c812483a9fa46cd54a82b7c63e718bce.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
You are given a single integer *n* (1 ≤ *n* ≤ 150) — the number of steps of the algorithm you need to reach.
In the second example you can print polynomials *x*<sup class="upper-index">2</sup> - 1 and *x*. The sequence of transitions is

There are two steps in it.
1
1
0 1
0
1
2
2
-1 0 1
1
0 1
3
3
0 0 0 1
2
-1 0 1
4
4
1 0 -1 0 1
3
0 0 0 1
5
5
0 1 0 0 0 1
4
1 0 -1 0 1
6
6
1 0 0 0 1 0 1
5
0 1 0 0 0 1
7
7
0 0 0 0 0 0 0 1
6
1 0 0 0 1 0 1
8
8
-1 0 0 0 -1 0 -1 0 1
7
0 0 0 0 0 0 0 1
9
9
0 -1 0 0 0 -1 0 0 0 1
8
-1 0 0 0 -1 0 -1 0 1
10
10
1 0 -1 0 1 0 0 0 -1 0 1
9
0 -1 0 0 0 -1 0 0 0 1
11
11
0 0 0 -1 0 0 0 0 0 0 0 1
10
1 0 -1 0 1 0 0 0 -1 0 1
12
12
1 0 -1 0 0 0 0 0 -1 0 1 0 1
11
0 0 0 -1 0 0 0 0 0 0 0 1
13
13
0 1 0 0 0 0 0 0 0 -1 0 0 0 1
12
1 0 -1 0 0 0 0 0 -1 0 1 0 1
14
14
1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
13
0 1 0 0 0 0 0 0 0 -1 0 0 0 1
15
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
14
1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
16
16
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
17
17
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
16
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
18
18
1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
17
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
19
19
0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
18
1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
20
20
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
19
0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
21
21
0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
20
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
22
22
-1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
21
0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
23
23
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
22
-1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
24
24
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1
23
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
25
25
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1
24
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1
26
26
1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 -1 0 1
25
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1
27
27
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
26
1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 -1 0 1
28
28
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1
27
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
29
29
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1
28
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1
30
30
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
29
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1
31
31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
30
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
32
32
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
33
33
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
32
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
34
34
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
33
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
35
35
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
34
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
36
36
-1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
35
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
37
37
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
36
-1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
38
38
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
37
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
39
39
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
38
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
40
40
1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1
39
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
41
41
0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1
40
1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1
42
42
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 -1 0 1
41
0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1
43
43
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1
42
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 -1 0 1
44
44
-1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1
43
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1
45
45
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1
44
-1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1
46
46
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
45
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1
47
47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
46
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
48
48
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 1
47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
49
49
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 1
48
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 1
50
50
1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 -1 0 1
49
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 1
51
51
0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1
50
1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 -1 0 1
52
52
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1
51
0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1
53
53
0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 1
52
-1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1
54
54
-1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
53
0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 1
55
55
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
54
-1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
56
56
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1
55
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
57
57
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1
56
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1
58
58
1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 -1 0 1
57
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1
59
59
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
58
1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 -1 0 1
60
60
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1
59
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
61
61
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1
60
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1
62
62
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
61
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1
63
63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
62
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
64
64
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
65
65
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
64
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
66
66
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
65
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
67
67
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
66
1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
68
68
-1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
67
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
69
69
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
68
-1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
70
70
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
69
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
71
71
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
70
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
72
72
1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1
71
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
73
73
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-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1
141
0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0...
143
143
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
142
-1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0...
144
144
1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1
143
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
145
145
0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1
144
1 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 ...
146
146
-1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1
145
0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
147
147
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
146
-1 0 1 0 0 0 0 0 1 0 -1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
148
148
1 0 -1 0 1 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1
147
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 ...
149
149
0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
148
1 0 -1 0 1 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0...
150
150
1 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1
149
0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 ...
B = [1, 0]  # 1x + 0
R = [1]  # 0x + 1
A = list(B)

n = int(input())

for i in range(1, n+1):
	A += [0]
	# print('A =', A)
	# print('R =', R)
	# print('B =', B)
	
	for j in range(-1, -len(R)-1, -1):
		A[len(A)+j] += R[len(R)+j]

		if A[len(A)+j] == 2:
			A[len(A)+j] = 0

	R = list(B)
	B = list(A)
	# print(i, A, R)

print(len(B)-1)
for u in reversed(B):
	print(u, end=' ')
print()

print(len(R)-1)
for u in reversed(R):
	print(u, end=' ')
print()
