TopCoder Statistics - Problem Statement

Problem Statement

Note: This problem has a nonstandard time limit: 4 seconds.

You are given an undirected graph G1. This graph has k vertices, numbered 0 through k-1. You are given the int k. You are also given two equally-long int[]s a and b that describe the edges of G1. For each i, there is an edge between a[i] and b[i].

Finally, you are given an int n. Construct a new graph G2 as follows.

Take n distinct copies of G1. We will call them "copy 0" through "copy n-1".
For each i, in copy i, increment the numbers of all vertices by i*k. After this change, the vertices in our graph have distinct numbers from 0 to (k*n-1).
Take the complement of the graph you currently have. I.e., a pair of vertices is connected by an edge after this step if and only if it wasn't connected before this step.

A Hamiltonian path in G2 is a path that visits each vertex of G2 exactly once. The path may start and end in any vertex of G2. The first and the last vertex of the path do not have to be connected by an edge.

Two paths differ if their sequences of visited vertices differ. In particular, the path (0,1,2,3) differs from the path (3,2,1,0).

Count the number of Hamiltonian paths in G2. Return that count modulo 998244353 (a prime number).

Definition

Class:: HamiltonianPaths
Method:: countPaths
Parameters:: int, int[], int[], int
Returns:: int
Method signature:: int countPaths(int k, int[] a, int[] b, int n)
(be sure your method is public)

Constraints

k will be between 1 and 14, inclusive.
a will have between 0 and k*(k-1)/2 elements, inclusive.
b will have exactly the same number of elements as a.
The graph described by the edges a,b will not have any self-loops or multiple edges.
n will be between 1 and 50,000, inclusive.

Examples

3

{0,1}

{1,2}

2

Returns: 152

Our graph G1 looks as follows: 0 - 1 - 2 When constructing G2, we start by taking two copies of G1 and relabeling them: 0 - 1 - 2 3 - 4 - 5 Finally, we take the complement of this graph. The result looks as follows: ----- | | 0 1 2 |\/|\/| |/\|/\| 3 4 5 | | ----- The resulting graph does also contain the edges 0-5 and 2-3, these are not shown in the figure above. Some examples of Hamiltonian paths in this graph: 0-2-5-3-1-4 4-1-3-5-2-0 0-2-4-1-3-5 0-3-1-4-2-5 0-5-2-3-1-4
12

{}

{}

10000

Returns: 129246395

The final graph will be a complete graph with 12*10000 nodes. So, the answer in this case is (120000)! mod 998244353 = 129246395.
5

{0,1,2,3,4}

{1,2,3,4,0}

1

Returns: 10
1

{}

{}

1

Returns: 1

The resulting graph G2 has a single isolated vertex 0. There is exactly one Hamiltonian path: the path that starts in vertex 0 and ends immediately.
4

{1,2,3,2,3,3}

{0,0,0,1,1,2}

1

Returns: 0
4

{1,2,3,2,3,3}

{0,0,0,1,1,2}

10006

Returns: 33330626
14

{0,4,0,0,0,12,2,2,9,2,2,3,3,3,3,4,8,4,5,5,10,11,6,12,10,13,10,13,12,13,11}

{2,0,5,8,11,1,5,6,2,10,12,4,5,9,13,7,4,13,6,7,5,5,8,7,8,8,9,9,10,10,13}

50000

Returns: 372837676
7

{1,0,1,4,1,1,5,3,6}

{0,2,3,1,5,6,2,6,4}

34200

Returns: 856243630
8

{1,2,3,0,0,0,2,1,4,1,6,1,2,7,4,3,6,7,6,6,5,7}

{0,0,0,5,6,7,1,3,1,5,1,7,3,2,3,5,3,3,4,5,7,6}

31391

Returns: 266741451
10

{0}

{8}

33536

Returns: 771705348
12

{0,0,9,0,2,3,4,1,1,1,1,2,4,5,2,10,11,5,7,8,3,4,8,4,6,5,5,6,9,10,11,8,10,11,10,11,10}

{6,7,0,10,1,1,1,7,9,10,11,3,2,2,9,2,2,3,3,3,9,5,4,9,5,7,11,7,6,6,6,7,7,7,8,9,11}

30492

Returns: 906041528
7

{1,3,5,2}

{2,1,1,5}

31602

Returns: 355283676
14

{0,11,3,6,10,2,11,4,3,3,3,3,4,4,4,4,13,5,11,5,13,6,13,7,10,12,10,12}

{8,0,1,1,1,3,2,3,6,8,10,13,7,8,10,12,4,8,5,12,5,8,6,9,8,8,9,10}

30235

Returns: 760825342
10

{0,6,0,1,1,1,2,2,2,8,3,6,3,5,6,8}

{1,0,7,2,5,6,5,6,7,2,5,3,8,4,7,7}

36738

Returns: 373170105
12

{3,0,1,1,9,2,5,4,9,10,11}

{0,5,5,8,1,6,4,7,4,7,8}

31903

Returns: 982039064
9

{3,2,5,7,6}

{1,3,3,3,4}

46645

Returns: 825679433
14

{1,3,0,5,0,10,12,1,1,6,8,9,1,2,4,5,2,2,2,2,3,3,3,10,12,5,6,8,9,4,11,13,5,9,10,12,5,9,10,11,10,7,7,8,10,9,12,13,10,11,13}

{0,0,4,0,6,0,0,3,5,1,1,1,13,3,2,2,7,10,12,13,4,6,9,3,3,4,4,4,4,10,4,4,7,5,5,5,13,6,6,6,7,11,12,11,9,11,9,9,11,12,12}

30640

Returns: 555737876
12

{0,0,0,8,1,1,2,2,10,3,5,9,3,5,7,4,4,4,7,5,9,5,10,8,10}

{3,4,5,0,3,10,4,6,2,4,3,3,10,4,4,8,9,10,5,8,5,10,6,11,11}

44841

Returns: 468463430
10

{1,2,3,0,0,0,0,8,0,1,1,5,1,7,1,9,2,2,6,7,2,9,3,3,3,3,8,9,4,4,4,8,9,8,5,8,6,7,9,9}

{0,0,0,4,5,6,7,0,9,3,4,1,6,1,8,1,3,4,2,2,8,2,4,5,6,7,3,3,5,6,7,4,4,5,9,6,9,8,7,8}

32571

Returns: 915686554
12

{2,3,4,0,7,8,9,0,11,1,1,6,7,1,9,1,11,2,2,7,2,10,11,3,7,3,3,3,3,5,4,4,4,4,4,11,6,7,8,10,6,6,11,8,7,7,7,8,8,8,11}

{0,0,0,6,0,0,0,10,0,2,4,1,1,8,1,10,1,5,6,2,9,2,2,5,3,8,9,10,11,4,6,7,8,9,10,4,5,5,5,5,8,9,6,7,9,10,11,9,10,11,10}

45835

Returns: 626471096
14

{0,3,5,6,8,3,6,9,1,11,12,3,2,8,10,3,3,3,5,8,4,4,5,5,10,5,5,7,8,9,6,13,7,7,13,12,11,12,11}

{2,0,0,0,0,1,1,1,10,1,1,2,5,2,2,5,7,10,4,4,12,13,8,9,5,11,13,6,6,6,12,6,10,11,7,8,9,9,10}

32135

Returns: 893961928
10

{0,2,3,4,5,6,0,0,2,1,4,1,7,8,2,2,5,6,2,2,6,3,6,4,5,7,5,9,7,6,9,8,9}

{1,0,0,0,0,0,7,8,1,3,1,6,1,1,3,4,2,2,7,9,3,7,4,7,6,5,8,5,6,8,6,7,7}

41397

Returns: 908102850
13

{0,1,9,5,6,12}

{12,7,2,4,10,6}

41731

Returns: 450219848
12

{1,3,4,7,2,9,4,3,3,3,4,11,6,5,8,5,6,11,7,10,9}

{0,1,1,1,3,2,3,5,6,8,9,4,5,7,5,11,9,6,11,8,11}

38393

Returns: 885647632
13

{2,0,0,0,7,8,0,10,11,2,1,1,5,7,1,1,1,11,1,3,2,2,2,7,2,2,12,3,5,3,3,8,9,10,3,3,5,6,4,9,5,5,8,5,5,5,5,7,8,6,6,11,6,8,7,11,12,8,8,8,8,10,9,9,11,10,11}

{0,3,4,5,0,0,9,0,0,1,3,4,1,1,8,9,10,1,12,2,4,5,6,2,8,9,2,4,3,6,7,3,3,3,11,12,4,4,7,4,6,7,5,9,10,11,12,6,6,9,10,6,12,7,9,7,7,9,10,11,12,9,11,12,10,12,12}

48894

Returns: 717249104
13

{0,0,8,0,0,1,1,8,9,1,11,2,2,6,8,2,2,11,6,3,9,12,4,6,4,9,10,11,4,5,5,9,5,7,9,6,11,12,8,9,10,11,8,11,11,10}

{1,7,0,11,12,3,5,1,1,10,1,3,5,2,2,9,10,2,3,7,3,3,5,4,8,4,4,4,12,6,8,5,12,6,6,10,6,6,7,8,8,8,12,9,10,12}

36516

Returns: 313165976
11

{1,0,3,0,0,0,7,0,10,1,3,4,5,1,7,1,9,10,2,4,2,2,7,8,9,10,4,3,3,3,3,3,10,4,4,7,8,9,10,5,8,5,5,7,6,9,10,7,9,10,8,8,10}

{0,2,0,4,5,6,0,8,0,2,1,1,1,6,1,8,1,1,3,2,5,6,2,2,2,2,3,5,6,7,8,9,3,5,6,4,4,4,4,7,5,9,10,6,8,6,6,8,7,7,9,10,9}

44723

Returns: 722646976
9

{0,8,4,1,8,3,6}

{6,0,1,8,2,6,5}

31836

Returns: 550815179
13

{6,1,2,2,4,3,9,5,5,5,12,7,7,8,8,10}

{0,11,4,7,3,6,3,6,10,11,6,10,12,11,12,9}

39079

Returns: 869797197
14

{0,2,0,0,5,6,7,8,10,0,0,2,1,4,1,1,1,1,10,1,1,13,3,2,2,7,2,2,2,2,13,3,3,6,3,8,3,3,11,3,3,4,4,9,10,4,12,4,8,9,5,5,12,13,6,6,11,6,8,7,10,7,7,13,9,11,12,10,11,9,9,11,10,12,11}

{1,0,3,4,0,0,0,0,0,11,12,1,3,1,5,6,7,9,1,11,12,1,2,4,6,2,8,10,11,12,2,4,5,3,7,3,9,10,3,12,13,7,8,4,4,11,4,13,5,5,10,11,5,5,9,10,6,13,7,9,7,11,12,7,8,8,8,9,9,12,13,10,13,11,13}

31824

Returns: 313582146
13

{0,0,0,4,0,0,8,9,10,0,12,2,3,4,5,1,7,8,9,1,1,12,3,4,5,2,7,8,9,10,4,3,6,3,8,9,10,3,3,6,7,8,4,11,4,5,5,8,5,5,5,6,8,6,6,11,12,7,7,10,11,12,9,8,12,9,11,9,11,12,11}

{1,2,3,0,6,7,0,0,0,11,0,1,1,1,1,6,1,1,1,10,11,1,2,2,2,6,2,2,2,2,3,5,3,7,3,3,3,11,12,4,4,4,9,4,12,6,7,5,9,11,12,7,6,9,10,6,6,8,9,7,7,7,8,10,8,10,9,12,10,10,12}

40649

Returns: 989106615
13

{0,2,0,0,0,0,7,8,0,1,5,6,1,8,1,1,3,4,2,7,8,2,10,3,5,3,8,3,3,3,5,4,7,8,4,10,4,4,5,5,5,9,10,11,5,6,8,9,6,8,7,10,11,7,11,12,10,9,12,10,12,12}

{1,0,3,4,5,6,0,0,11,4,1,1,7,1,9,12,2,2,6,2,2,9,2,4,3,6,3,9,10,11,4,6,4,4,9,4,11,12,6,7,8,5,5,5,12,7,6,6,10,7,9,7,7,12,8,8,9,11,9,11,10,11}

35869

Returns: 560500312
13

{0,3,8,12,7,3,4,6,6,12,10,11}

{8,2,2,2,3,11,6,5,11,7,12,12}

31912

Returns: 718561075
9

{0,0,0,0,0,1,4,6,8,2,4,4,7,4,7,8,7,6}

{2,3,4,5,6,2,1,1,1,3,2,3,3,6,4,4,5,7}

39674

Returns: 235717647
12

{0,2,0,0,7,8,9,0,0,2,1,1,1,1,1,9,10,11,2,4,2,6,7,8,9,10,11,4,5,3,8,3,3,4,8,4,11,6,5,8,5,5,5,10,11,8,9,7,11,8,10,11,9,9,10}

{1,0,4,5,0,0,0,10,11,1,3,4,5,7,8,1,1,1,3,2,5,2,2,2,2,2,2,3,3,6,3,10,11,7,4,9,4,5,7,5,9,10,11,6,6,7,7,10,7,9,8,8,10,11,11}

47872

Returns: 504275468
7

{1,0,0,0,0,0,1,1,1,1,2,6,3,4}

{0,2,3,4,5,6,2,3,5,6,3,2,6,5}

38010

Returns: 751866294
12

{1,0,0,0,5,0,0,0,0,11,2,3,1,5,6,7,1,1,1,11,2,4,2,6,8,9,2,2,3,5,3,7,3,3,5,6,4,4,9,4,11,6,5,8,9,11,6,8,6,10,6,9,10,7,9,11,9,9,11}

{0,2,3,4,0,7,8,9,10,0,1,1,4,1,1,1,8,9,10,1,3,2,5,2,2,2,10,11,4,3,6,3,9,11,4,4,7,8,4,10,4,5,7,5,5,5,7,6,9,6,11,7,7,11,8,8,10,11,10}

31890

Returns: 684789192
13

{4,0,0,2,3,4,1,12,2,2,2,7,8,9,2,4,5,3,3,9,4,9,10,11,5,5,5,7,8,6,6,8,9,7,7,10,11,9,10}

{0,8,11,1,1,1,6,1,3,5,6,2,2,2,10,3,3,6,7,3,7,4,4,4,8,10,11,6,6,9,11,7,7,11,12,8,9,12,11}

32797

Returns: 367829271
11

{0,3,4,5,0,7,8,9,0,1,3,4,1,6,1,8,10,3,2,2,6,2,2,3,3,3,10,5,6,4,4,4,5,8,10,8,6,7,7,7,8,10}

{1,0,0,0,6,0,0,0,10,2,1,1,5,1,7,1,1,2,4,5,2,9,10,5,6,7,3,4,4,7,8,10,7,5,5,6,10,8,9,10,9,8}

41471

Returns: 77431784
8

{1,2,3,4,0,0,7,2,3,1,1,6,7,2,5,6,2,3,3,3,7,4,6,6,7,6}

{0,0,0,0,5,6,0,1,1,4,5,1,1,3,2,2,7,4,5,6,3,5,4,5,5,7}

32372

Returns: 493105519
12

{1,5,10,6,8,3,6,7,10,6,10}

{0,0,0,1,2,9,5,5,5,8,11}

30243

Returns: 842777844
12

{0,4,0,0,1,1,1,1,10,2,9,11,8,4,4,6,5,5,5,6,6,9,11,10,11}

{2,0,7,8,2,3,4,9,1,7,2,2,3,8,11,5,8,9,10,9,10,7,7,9,10}

40099

Returns: 283813406
10

{0,3,0,0,0,1,5,6,1,3,2,2,2,3,7,8,3,5,7,8,9,5,7,5}

{1,0,4,7,8,3,1,1,7,2,4,6,8,4,3,3,9,4,4,4,4,6,5,8}

44052

Returns: 387957278
13

{8,11,12,1,7,11,5,8,11}

{0,0,0,2,2,3,4,6,7}

30998

Returns: 985542001
9

{2,0,0,3,1,5,1,2,2,3,4,7,8,5,8,7,8}

{0,4,5,1,4,1,8,6,8,7,6,4,4,7,5,6,7}

45832

Returns: 806679085
7

{0,0,1,5,4,5,6}

{1,4,6,2,3,3,3}

33690

Returns: 720212527
14

{4,5,9,10,0,13,1,1,1,10,13,5,2,11,3,8,10,4,4,5,6,7,11,7,13,10,11,11,12,11,12}

{0,0,0,0,12,0,3,6,8,1,1,2,9,3,13,4,4,12,13,8,11,8,7,12,7,8,8,9,9,13,13}

38931

Returns: 355308493
11

{0,4,0,1,8,1,8,2,3,9,4,5,8,5,10,6,9,10,10,10}

{3,0,6,4,1,10,2,10,5,3,10,7,5,9,5,7,6,7,8,9}

37256

Returns: 271354371
8

{2,0,0,7,3,1,7,3,4,2,2,2,4,7,4,7,5,5,7}

{0,4,5,0,1,4,1,2,2,5,6,7,3,3,5,4,6,7,6}

48299

Returns: 211242405
10

{1,5,0,7,9,2,2,3,7,8,3,8,8,7,9}

{0,0,8,1,1,6,7,5,3,3,9,4,5,6,6}

33917

Returns: 218466152
11

{4,0,2,1,1,4,6,7,9}

{0,9,1,3,6,5,5,10,8}

32431

Returns: 923992021
7

{}

{}

38688

Returns: 805799346
7

{}

{}

38216

Returns: 726672114
9

{4,3,7,3,3,8,8,6}

{0,1,1,5,7,3,4,5}

36033

Returns: 491816716
8

{1,2}

{5,3}

38605

Returns: 514141030
9

{0,5,0,8,8,3,4,2,3,7,8,5,6,4,8,7,7}

{1,0,6,0,1,2,2,8,5,3,3,4,4,7,5,6,8}

37796

Returns: 660487249
7

{0,3,5,6,2,1,4,1,4,2,2,3,5,4,5}

{2,0,0,0,1,3,1,6,2,5,6,4,4,6,6}

38672

Returns: 501095535
12

{5,0,0,1,3,5,1,8,1,5,2,2,2,2,3,3,7,3,3,4,6,7,9,5,8,11,6,8,11,9,10,10,9}

{0,7,10,2,1,1,7,1,9,2,6,8,9,11,4,6,3,9,10,5,4,4,4,6,5,5,7,6,6,8,8,9,11}

44381

Returns: 268789324
13

{1,3,0,0,9,0,11,12,8,1,10,11,3,6,8,9,3,9,4,12,5,8,11,12,9,10,11,9,7,11,12,8,9,11,12,10,11}

{0,0,4,6,0,10,0,0,1,9,1,1,2,2,2,2,11,4,10,4,6,5,5,5,6,6,6,7,10,7,7,12,10,9,9,12,12}

26202

Returns: 342921714
7

{0,2,0,4,5,2,3,4,1,1,2,2,5,3,3,6,6,6}

{1,0,3,0,0,1,1,1,5,6,3,4,2,4,5,3,4,5}

49690

Returns: 818554660
13

{0,8,0,2,3,2,2,9,10,5,3,8,3,4,4,6,7,10,12,9,7,7,10,11}

{7,0,12,1,1,6,7,2,2,3,7,3,11,9,12,5,5,5,5,7,11,12,8,10}

47743

Returns: 164921804
13

{0,0,0,0,7,0,1,1,1,1,2,7,10,12,8,4,9,10,5,6,7,7,7,9,8,8,9,10,11}

{1,2,3,4,0,9,3,4,6,9,6,2,2,2,3,6,4,4,7,11,9,11,12,8,10,11,10,11,12}

48312

Returns: 915591636
9

{0,3,0,8,2,1,1,3,5,2,4,7,3,7,6,5}

{2,0,4,0,1,6,7,2,2,7,3,3,8,4,5,8}

46624

Returns: 641399070
7

{0,4,5,1,1,2,6,3,5}

{1,0,0,5,6,3,2,4,4}

42643

Returns: 382689170
14

{4,0,2,4,8,10,1,12,1,2,2,2,5,7,8,3,3,3,3,5,9,11,12,13,6,8,7,7,13,9,12,12}

{0,8,1,1,1,1,11,1,13,8,10,11,3,3,3,9,10,11,13,4,5,5,5,5,9,7,9,11,8,10,10,13}

40142

Returns: 142861210
10

{1,0,3,0,0,6,0,0,9,2,4,1,7,1,9,3,4,5,6,2,8,9,3,5,6,7,8,9,4,4,7,4,9,5,7,8,9,6,6,9,7,7,8}

{0,2,0,4,5,0,7,8,0,1,1,6,1,8,1,2,2,2,2,7,2,2,4,3,3,3,3,3,5,6,4,8,4,6,5,5,5,7,8,6,8,9,9}

44589

Returns: 614414904
12

{0,2,0,4,0,0,7,0,0,10,0,2,1,1,5,6,1,1,9,1,11,3,4,2,2,2,2,9,10,2,3,3,6,7,8,9,3,11,5,6,4,4,11,6,5,5,5,10,6,8,9,10,6,8,9,11,8,10,11,9,9,11}

{1,0,3,0,5,6,0,8,9,0,11,1,3,4,1,1,7,8,1,10,1,2,2,5,6,7,8,2,2,11,4,5,3,3,3,3,10,3,4,4,7,8,4,5,7,8,9,5,7,6,6,6,11,7,7,7,9,8,8,10,11,10}

46833

Returns: 379598264
13

{11,7,8,12}

{5,12,11,8}

17060

Returns: 903312098
12

{1,0,0,0,0,0,7,0,9,10,0,1,1,1,5,1,7,8,1,1,1,2,2,2,6,7,8,9,10,11,3,3,6,7,8,9,10,3,4,6,4,8,4,4,4,5,7,8,9,10,11,6,8,6,6,6,8,7,10,11,8,10,8,10,9,11}

{0,2,3,4,5,6,0,8,0,0,11,2,3,4,1,6,1,1,9,10,11,3,4,5,2,2,2,2,2,2,4,5,3,3,3,3,3,11,5,4,7,4,9,10,11,6,5,5,5,5,5,7,6,9,10,11,7,9,7,7,9,8,11,9,11,10}

43403

Returns: 337751860
9

{0,6,8,3,5,1,2,5,6,2,7,3,5,4,7,8,6,5,5,7,8}

{1,0,0,1,1,6,3,2,2,7,3,8,4,6,4,4,5,7,8,6,7}

44428

Returns: 679013859
4

{1,3,2,3}

{0,0,1,2}

45626

Returns: 491825118
10

{7,8,9,2,1,1,2,7,9,4,5,6,3,7,8,9}

{0,0,0,1,4,7,3,2,2,3,3,3,8,6,6,7}

12525

Returns: 135905627
14

{1,2,0,0,9,0,12,0,3,1,5,1,8,1,1,13,2,5,2,2,10,2,2,4,5,8,9,3,12,13,5,4,4,11,12,13,5,8,9,5,11,5,6,10,6,6,8,9,7,7,10,12,9,11,9,9,11,12,12}

{0,0,6,8,0,10,0,13,1,4,1,6,1,9,12,1,3,2,6,9,2,12,13,3,3,3,3,10,3,3,4,7,8,4,4,4,7,5,5,10,5,13,8,6,11,13,7,7,11,13,8,8,10,9,12,13,10,11,13}

42676

Returns: 391770709
7

{0,0,3,4,0,6,2,3,4,5,6,2,2,2,2,3,3,3,6,5}

{1,2,0,0,5,0,1,1,1,1,1,3,4,5,6,4,5,6,4,6}

49165

Returns: 99417945
7

{2,0,5,0,2,1,1,1,3,2,4,5,6,4,5}

{0,3,0,6,1,3,4,6,2,5,3,3,3,6,6}

42128

Returns: 970378407
9

{0,2,0,0,5,0,0,8,1,1,1,5,6,1,8,3,4,2,6,2,2,4,5,6,7,8,5,4,4,8,5,5,8,7,8,8}

{1,0,3,4,0,6,7,0,2,3,4,1,1,7,1,2,2,5,2,7,8,3,3,3,3,3,4,6,7,4,6,7,5,6,6,7}

46671

Returns: 960440921
14

{0,0,3,4,0,6,7,9,0,0,0,13,1,1,4,5,6,7,1,9,10,11,13,2,2,2,6,2,8,9,11,12,2,4,3,3,3,10,11,3,3,5,4,4,4,12,4,5,7,8,9,5,5,5,5,7,8,9,6,6,8,9,11,12,7,8,8,12,8,9,11,9,9,10,12,13,12,13,12}

{1,2,0,0,5,0,0,0,10,11,12,0,2,3,1,1,1,1,8,1,1,1,1,3,4,5,2,7,2,2,2,2,13,3,7,8,9,3,3,12,13,4,7,8,9,4,13,6,5,5,5,10,11,12,13,6,6,6,11,13,7,7,7,7,13,10,11,8,13,10,9,12,13,11,10,10,11,11,13}

4863

Returns: 728812421
13

{0,0,9,6,2,10,10,9}

{5,7,0,2,12,4,7,12}

44676

Returns: 1254206
6

{5}

{2}

49372

Returns: 691976736
12

{0,11,7,4,5,3,3,4,9,5,6,8,10}

{3,0,1,2,2,6,8,5,5,11,10,7,8}

44185

Returns: 806477995
1

{}

{}

46659

Returns: 253623183
12

{0,5,0,0,0,0,0,4,1,1,1,10,2,2,2,11,5,6,3,3,3,4,4,8,9,10,11,6,7,5,5,5,6,7,11,9,11,9,9,11}

{2,0,6,7,8,10,11,1,5,8,9,1,4,8,10,2,3,3,7,8,10,5,6,4,4,4,4,5,5,8,9,11,9,10,7,8,8,10,11,10}

21906

Returns: 773062623
12

{0,3,0,7,11,1,1,5,1,6,2,2,11,6,7,3,3,4,4,4,6,7,5,5,9,10,10}

{2,0,6,0,0,2,3,1,8,2,9,10,2,3,3,9,10,5,7,9,5,5,8,11,6,7,11}

44866

Returns: 805107711
7

{1,0,3,0,5,0,1,3,5,6,4,5,5,5,4}

{0,2,0,4,0,6,2,1,1,1,2,2,3,4,6}

47236

Returns: 25830961
8

{0,2,3,4,5,0,7,1,4,1,1,3,4,5,2,4,6,7,4,4,4,6,7,6}

{1,0,0,0,0,6,0,2,1,5,6,2,2,2,6,3,3,3,5,6,7,5,5,7}

46178

Returns: 716041627
7

{0,0,5,6,2,1,4,5,5,6,3,3}

{3,4,0,0,1,3,1,1,2,2,4,6}

42580

Returns: 868108176
14

{0,10,5,1,1,10,2,13,3,12,4,4,5,11,6,7,7,9,8,13}

{7,0,1,7,9,1,11,2,7,3,10,13,7,5,7,9,11,8,12,9}

46847

Returns: 760144515
12

{1,0,3,4,5,6,7,8,9,0,0,1,1,1,5,1,7,1,1,1,1,3,2,5,2,7,2,2,2,2,4,3,6,3,3,3,3,11,5,4,4,4,4,4,5,7,5,9,5,5,7,8,9,6,6,7,9,7,7,8,10,8,9,9,10}

{0,2,0,0,0,0,0,0,0,10,11,2,3,4,1,6,1,8,9,10,11,2,4,2,6,2,8,9,10,11,3,5,3,7,8,9,10,3,4,6,7,8,9,11,6,5,8,5,10,11,6,6,6,10,11,8,7,10,11,9,8,11,10,11,11}

41098

Returns: 455334677
8

{0,6,4,2,2,6,5,7,6,5}

{5,0,1,4,5,2,3,3,5,7}

48106

Returns: 473147835
10

{1,2,0,4,0,0,0,0,2,3,4,1,6,1,1,9,3,2,2,2,7,2,2,3,5,3,3,3,9,4,6,7,4,4,5,7,8,5,6,6,6,8,9,8}

{0,0,3,0,6,7,8,9,1,1,1,5,1,7,8,1,2,4,5,6,2,8,9,4,3,6,7,8,3,5,4,4,8,9,6,5,5,9,7,8,9,7,7,9}

49346

Returns: 367111772
12

{0,0,7,1,4,10,3,3,11,5,4,8,11,6,10,7,8,11,9}

{5,10,1,11,2,2,5,10,3,4,8,5,5,9,6,9,9,8,10}

45244

Returns: 753470199
11

{2,0,4,5,6,7,8,0,0,2,5,1,7,1,1,3,2,5,6,7,2,2,10,4,3,6,3,8,3,10,4,6,7,4,10,6,5,8,5,10,6,8,9,10,7,7,10,9,10}

{0,3,0,0,0,0,0,9,10,1,1,6,1,9,10,2,4,2,2,2,8,9,2,3,5,3,7,3,9,3,5,4,4,8,4,5,7,5,9,5,7,6,6,6,8,9,7,8,8}

45749

Returns: 285816374
10

{2,1,7,5,6}

{0,3,2,7,9}

48392

Returns: 527955245
12

{8,10,8,4,2,10,4,5,3,3,3,11,8,4,4,7,9,11,7,6,8,10,9,11}

{0,0,1,2,8,2,3,3,7,8,10,3,4,9,10,5,5,5,6,10,7,7,8,9}

45123

Returns: 416279710
9

{0,0,5,7,0,1,5,3,4,5,2,5,5,7,5,6}

{1,4,0,0,8,3,1,2,2,2,7,3,4,4,7,7}

44219

Returns: 497215350
10

{1,0,0,6,0,8,2,1,1,5,1,1,8,9,2,2,2,6,2,8,4,3,3,7,8,3,5,4,7,8,9,5,7,5,9,7,8,8,7}

{0,2,4,0,7,0,1,3,4,1,6,7,1,1,3,4,5,2,7,2,3,5,6,3,3,9,4,6,4,4,4,6,5,8,5,6,6,7,9}

42650

Returns: 966566070
5

{1,3,0,2,3,4,3,4}

{0,0,4,1,1,1,2,3}

48488

Returns: 311639170
8

{0,4,0,6,6,5,7}

{1,0,5,1,2,3,4}

44977

Returns: 92712015
8

{0,4,0,0,1,3,7,4,5,4,5,7}

{1,0,5,6,7,2,2,3,4,6,7,6}

49190

Returns: 929924879
11

{4,0,0,8,9,1,1,5,6,1,1,2,9,2,4,3,7,3,10,5,6,4,8,4,10,6,5,9,10,7,9,10,7,7,7,9,10}

{0,6,7,0,0,3,4,1,1,8,9,4,2,10,3,5,3,8,3,4,4,7,4,9,4,5,8,5,5,6,6,6,8,9,10,8,9}

46385

Returns: 500330716
13

{1,4,7,8,0,0,0,2,3,4,1,1,7,1,9,1,1,2,4,2,2,7,2,11,2,4,3,6,3,3,3,11,12,5,7,8,9,10,11,4,5,5,5,5,10,11,5,6,6,10,6,12,9,10,7,8,10,11,8,10,9,11,10,11}

{0,0,0,0,9,11,12,1,1,1,5,6,1,8,1,10,11,3,2,5,6,2,8,2,12,3,5,3,7,8,10,3,3,4,4,4,4,4,4,12,6,7,8,9,5,5,12,7,9,6,11,6,7,7,11,9,8,8,12,9,12,10,12,12}

41406

Returns: 632739322
14

{0,2,8,0,11,1,1,11,1,2,6,9,2,4,3,11,13,8,11,4,8,5,12,10,13,12,13,12,13}

{1,0,0,10,0,6,9,1,12,4,2,2,11,3,10,3,3,4,4,13,5,12,6,7,8,9,9,10,12}

30943

Returns: 831510428
9

{6,0,5,6,4,5,8}

{0,8,3,3,7,7,7}

31095

Returns: 172186763
14

{0,6,7,9,0,0,0,4,7,9,1,13,5,7,2,4,3,6,9,11,3,5,4,4,5,5,5,13,6,8,10,6,13,10,12,9,10,8,13,11,9,13,10,10,12,11,13}

{3,0,0,0,10,12,13,1,1,1,12,1,2,2,12,3,5,3,3,3,13,4,6,12,6,9,12,5,7,6,6,12,6,7,7,8,8,12,8,9,12,9,12,13,11,13,12}

42593

Returns: 148250720
14

{2,3,5,6,8,0,11,1,1,1,11,12,1,4,2,6,8,2,4,8,4,5,8,7,6,13,7,7,9,10,8,8,13,12,11,13,13}

{0,0,0,0,0,10,0,8,9,10,1,1,13,2,5,2,2,11,3,4,11,6,5,6,11,6,9,13,8,8,11,13,9,10,12,11,12}

42020

Returns: 804647078
14

{1,2,0,0,6,0,9,0,0,13,1,1,5,1,1,1,1,13,2,2,5,2,9,2,2,13,4,3,7,8,3,13,7,4,4,4,4,6,5,5,5,10,12,13,8,9,10,6,13,7,7,12,13,8,12,11,12,10,13}

{0,0,3,5,0,7,0,10,12,0,2,3,1,6,7,10,12,1,3,4,2,7,2,10,11,2,3,6,3,3,10,3,4,8,10,11,12,5,7,8,9,5,5,5,6,6,6,11,6,8,9,7,7,9,8,9,9,11,11}

44308

Returns: 880568493
11

{2,3,0,5,8,10,5,1,2,6,2,8,10,6,9,4,6,9,10,6,5,7,9,6,10,8,9}

{0,0,4,0,0,0,1,9,4,2,7,2,2,3,3,5,4,4,4,5,9,6,6,10,7,9,10}

48496

Returns: 834389768
13

{0,0,1,2,12,10,4,12,5,12,6,6,7,9}

{6,10,6,6,2,3,10,4,10,5,8,12,10,10}

37735

Returns: 804315447
3

{0,1}

{2,2}

25471

Returns: 259067445
6

{2}

{1}

13530

Returns: 431782265
10

{9,1,1,4,2,3,4}

{0,2,7,2,7,7,8}

36221

Returns: 769059492
13

{1,2,3,4,0,0,0,9,10,12,1,3,4,1,6,7,8,1,1,1,1,2,2,2,2,8,10,2,3,3,3,3,8,3,10,12,5,6,7,4,4,4,12,7,10,12,7,6,6,11,9,11,7,9,8,10,11,12,12,12}

{0,0,0,0,5,7,8,0,0,0,2,1,1,5,1,1,1,9,10,11,12,3,4,5,6,2,2,11,4,5,6,7,3,9,3,3,4,4,4,8,9,11,4,5,5,5,6,8,9,6,7,7,12,8,10,9,9,9,10,11}

49522

Returns: 535176563
13

{2,0,4,0,0,7,9,11,0,1,1,1,1,1,9,11,1,2,4,2,6,7,2,2,11,2,4,3,6,7,8,3,3,3,3,7,8,4,4,4,4,5,5,5,7,6,6,6,6,8,7,7,12,9,10,11,8,9,12,10,12,11}

{0,3,0,5,6,0,0,0,12,2,4,5,6,7,1,1,12,3,2,5,2,2,9,10,2,12,3,5,3,3,3,9,10,11,12,4,4,9,10,11,12,8,10,12,6,8,10,11,12,7,9,10,7,8,8,8,12,11,9,11,10,12}

45426

Returns: 657659024
10

{3,4,6,7,1,1,7,8,2,5,3,7,8,8,9}

{0,0,0,0,4,6,1,2,9,3,7,5,5,6,6}

5154

Returns: 335268867
14

{0,2,0,0,5,0,8,0,10,0,0,13,1,1,1,1,6,1,1,1,1,1,3,4,5,6,2,8,2,11,2,9,10,11,3,3,4,4,8,4,10,4,4,4,6,5,9,5,11,12,13,7,8,6,10,11,12,13,8,7,10,11,7,7,8,8,12,8,9,9,9,10,13,12,12}

{1,0,3,4,0,7,0,9,0,11,12,0,2,3,4,5,1,7,8,9,11,13,2,2,2,2,7,2,10,2,13,3,3,3,12,13,6,7,4,9,4,11,12,13,5,8,5,10,5,5,5,6,6,9,6,6,6,6,7,9,7,7,12,13,10,11,8,13,10,11,12,11,10,11,13}

48528

Returns: 81132152
14

{0,0,3,0,0,0,0,12,13,1,1,11,1,2,2,10,13,3,3,3,9,11,12,5,4,4,4,12,5,5,5,5,6,8,6,12,7,10,11,13,10,9,12}

{1,2,0,5,6,7,9,0,0,8,9,1,13,6,7,2,2,5,6,8,3,3,3,4,7,10,11,4,6,9,12,13,7,6,11,6,8,7,8,8,9,12,13}

39080

Returns: 894335824
14

{0,0,3,0,0,0,0,0,10,0,0,1,4,5,6,1,1,1,1,11,1,1,3,4,5,6,7,2,2,10,11,12,2,3,5,6,7,3,3,3,3,3,3,4,4,4,4,9,10,4,4,6,7,5,5,5,12,5,6,6,6,6,6,6,13,8,9,10,7,12,13,8,8,8,12,8,9,11,12,9,11,12,11,13}

{1,2,0,4,5,6,7,8,0,12,13,2,1,1,1,7,8,9,10,1,12,13,2,2,2,2,2,8,9,2,2,2,13,4,3,3,3,8,9,10,11,12,13,5,6,7,8,4,4,11,13,5,5,9,10,11,5,13,7,8,9,10,11,12,6,7,7,7,11,7,7,9,10,11,8,13,10,9,9,13,10,10,12,11}

49713

Returns: 880449541
13

{0,0,3,4,0,0,7,8,9,10,11,12,1,1,1,6,1,1,9,10,11,12,3,4,2,2,8,2,2,2,12,4,7,3,3,3,4,4,4,4,10,11,12,5,5,8,5,10,11,5,6,8,9,6,11,12,7,7,11,7,8,12,10,9,11,11}

{1,2,0,0,5,6,0,0,0,0,0,0,2,4,5,1,7,8,1,1,1,1,2,2,5,7,2,9,10,11,2,3,3,8,11,12,5,7,8,9,4,4,4,6,7,5,9,5,5,12,7,6,6,10,6,6,8,9,7,12,9,8,9,12,10,12}

2353

Returns: 764260667
13

{1,0,0,0,0,7,8,9,10,11,12,1,4,1,7,9,10,11,3,6,7,8,2,6,9,3,12,4,4,4,4,4,5,7,5,5,12,7,6,6,6,7,7,7,8,10,11}

{0,2,3,4,6,0,0,0,0,0,0,2,1,5,1,1,1,1,2,2,2,2,10,3,3,10,3,5,6,9,11,12,6,5,9,11,5,6,9,11,12,10,11,12,10,12,12}

28088

Returns: 606203148
13

{0,0,0,1,1,1,1,12,2,6,2,9,3,3,10,5,7,7,12,10,11}

{2,5,6,2,5,9,10,1,3,2,12,3,11,12,4,6,10,11,9,11,12}

31695

Returns: 200074800
12

{2,8,9,2,4,7,11,2,2,2,8,9,2,4,3,3,3,3,3,4,4,7,10,4,5,5,9,5,6,6,9,11,8,9,10,11,8,10,10}

{0,0,0,1,1,1,1,4,6,7,2,2,11,3,5,6,7,8,10,5,6,4,4,11,7,8,5,10,7,8,6,6,7,7,7,7,11,9,11}

38531

Returns: 996520074
13

{0,6,0,0,11,0,2,1,1,1,7,9,12,3,2,2,6,8,2,2,12,4,5,3,7,9,11,12,7,8,4,4,12,5,8,10,5,12,6,6,6,10,10,8,10,11,10}

{2,0,8,10,0,12,1,3,4,5,1,1,1,2,4,5,2,2,9,11,2,3,3,6,3,3,3,3,4,4,9,11,4,7,5,5,11,5,7,9,12,7,8,11,9,9,11}

49708

Returns: 414605935
12

{1,2,0,4,0,0,0,0,0,2,3,6,7,1,11,2,4,5,2,2,2,4,6,3,3,5,4,4,4,4,4,6,7,5,9,10,11,8,10,9,7,7,9,10,8,10,11}

{0,0,3,0,5,6,7,8,9,1,1,1,1,9,1,3,2,2,7,10,11,3,3,7,11,4,6,7,8,9,10,5,5,8,5,5,5,6,6,7,10,11,8,8,11,9,9}

47420

Returns: 35132518
11

{0,5,6,0,3,1,7,5,7,3,3,7,9,3,6,10,6,5,5,6,6,8,9,10,10}

{4,0,0,10,1,6,1,2,2,5,6,3,3,10,4,4,5,7,8,7,10,7,7,8,9}

49224

Returns: 458520802
13

{1,2,3,0,0,6,7,0,0,11,1,3,4,5,1,1,9,11,12,4,2,7,8,2,2,2,2,4,5,3,9,3,3,12,6,7,8,9,10,11,12,5,8,11,12,7,6,6,6,6,12,7,10,11,12,8,9,9,9,11,10,11}

{0,0,0,4,5,0,0,8,9,0,2,1,1,1,7,8,1,1,1,2,6,2,2,9,10,11,12,3,3,7,3,10,11,3,4,4,4,4,4,4,4,7,5,5,5,6,8,9,10,11,6,9,7,7,7,9,10,11,12,10,12,12}

49749

Returns: 291688552
9

{7,2,6,5,4,8}

{0,3,2,3,5,6}

49180

Returns: 702499893
12

{11,10}

{1,8}

34559

Returns: 523102023
11

{3,8,1,1,10,3,2,4,5,4,4,4,10,5,6,7,10}

{0,0,2,3,1,2,10,3,3,6,7,8,4,10,9,8,7}

38800

Returns: 476339860
12

{0,0,1,1,1,9,1,4,2,3,6,9,4,7,5,7,7,8,11}

{5,9,6,7,8,1,11,2,10,4,3,3,7,5,8,9,11,9,10}

36466

Returns: 806418686
13

{6,9,0,11,0,6,1,2,2,9,5,9,3,4,6,7,5,7,8,7,11,8,9,11}

{0,0,10,0,12,1,10,3,5,2,3,3,11,8,5,5,9,6,6,8,7,10,12,10}

11069

Returns: 885339959
13

{6,0,6,1,3,8,10,8,6,9,7}

{0,9,1,10,10,5,5,6,10,7,10}

40352

Returns: 376837623
13

{0,2,3,0,5,7,0,11,1,1,1,1,12,7,8,9,12,3,8,3,12,6,9,11,6,9,6,7,9,8,8,11,12}

{1,0,0,4,0,0,8,0,2,3,6,11,1,2,2,2,2,4,3,12,4,5,5,5,8,6,12,8,7,9,10,8,11}

41574

Returns: 847003509
14

{0,8,3,8,8}

{13,2,13,9,12}

400

Returns: 877742583
14

{1,2,3,4,0,0,0,0,9,10,0,0,13,1,1,1,1,1,1,1,1,10,1,12,13,2,4,2,2,7,2,9,10,2,12,2,3,5,6,7,3,9,3,3,12,13,4,4,7,4,4,10,11,12,13,6,5,5,9,10,5,5,6,8,9,6,11,6,6,8,7,7,7,7,13,8,10,11,8,13,10,9,9,11,10,13,11,13,12}

{0,0,0,0,5,6,7,8,0,0,11,12,0,2,3,4,5,6,7,8,9,1,11,1,1,3,2,5,6,2,8,2,2,11,2,13,4,3,3,3,8,3,10,11,3,3,5,6,4,8,9,4,4,4,4,5,7,8,5,5,11,13,7,6,6,10,6,12,13,7,9,10,11,12,7,9,8,8,12,8,9,11,12,10,12,10,12,11,13}

39062

Returns: 459541904
10

{1,0,3,0,0,7,0,1,1,1,2,2,6,2,4,5,6,8,4,9,5,5,9,6,6,8,9,9}

{0,2,0,4,5,0,8,6,8,9,3,4,2,8,3,3,3,3,7,4,6,7,5,7,8,7,7,8}

15894

Returns: 2868858
11

{0,2,0,0,5,6,8,0,0,1,1,5,1,1,10,2,2,2,8,10,3,5,6,3,8,3,3,5,4,7,10,5,5,9,5,7,8,9,10,7,10,10}

{1,0,3,4,0,0,0,9,10,2,3,1,8,9,1,3,5,6,2,2,4,3,3,7,3,9,10,4,6,4,4,6,8,5,10,6,6,6,6,9,7,8}

38308

Returns: 851500153
8

{1,2,3,0,0,6,0,1,1,1,1,1,1,3,2,2,6,7,5,6,5,7,6,5,7}

{0,0,0,4,5,0,7,2,3,4,5,6,7,2,4,5,2,2,3,3,4,4,5,7,6}

23808

Returns: 9590158
11

{4,0,0,0,1,3,9,7}

{0,6,8,9,5,5,4,5}

29004

Returns: 483317782
12

{4,7,1,8,3,5}

{0,0,3,2,4,3}

9303

Returns: 29427981
14

{2,5,0,7,0,10,1,1,1,1,12,2,2,2,13,5,3,4,10,6,8,10,12,6,10,8,9,7,11,9,12,13}

{0,0,6,0,8,0,2,6,7,10,1,6,8,10,2,3,8,5,4,5,5,5,5,9,6,7,7,12,8,10,9,11}

6269

Returns: 841379948
12

{0,0,3,0,5,0,7,10,11,2,1,1,1,1,1,9,10,1,2,4,2,2,8,9,2,11,3,5,3,3,8,9,10,3,5,4,4,9,10,4,6,5,9,10,5,6,6,6,10,6,8,9,11,8,10,10,11,11}

{1,2,0,4,0,6,0,0,0,1,3,4,6,7,8,1,1,11,3,2,5,7,2,2,10,2,4,3,6,7,3,3,3,11,4,7,8,4,4,11,5,8,5,5,11,7,8,9,6,11,7,7,7,9,8,9,9,10}

8580

Returns: 519679487
11

{0,0,8,3,1,7,3,3,8,4,9,8}

{1,6,0,1,9,2,4,6,3,8,4,7}

49835

Returns: 723303218
13

{1,2,3,0,0,2,1,8,1,1,5,2,12,7,5,10,9,9,11,10}

{0,0,0,5,8,1,7,1,11,12,2,6,3,5,8,7,8,10,9,11}

36985

Returns: 24734230
10

{0,0,0,0,9,1,3,1,1,1,4,5,6,7,8,2,3,6,3,3,9,4,4,4,7,8,5,6,6,6,8,9,9}

{1,2,7,8,0,2,1,6,7,9,2,2,2,2,2,9,4,3,7,8,3,5,6,7,5,5,9,7,8,9,7,7,8}

48794

Returns: 106444124
14

{0,0,3,4,0,7,9,0,0,0,2,3,4,5,7,8,1,12,4,2,6,2,2,2,10,11,12,13,7,8,3,3,5,6,8,4,4,4,13,7,5,5,11,5,8,10,13,8,7,10,7,8,12,8,9,9,12,13,11,10,10,13,13}

{1,2,0,0,6,0,0,10,11,13,1,1,1,1,1,1,10,1,2,5,2,7,8,9,2,2,2,2,3,3,11,12,4,4,4,9,11,12,4,5,8,10,5,13,6,6,6,7,9,7,13,9,8,13,10,11,9,9,10,12,13,11,12}

468

Returns: 161728032
11

{0,2,0,0,0,10,1,1,6,7,1,9,1,2,7,9,2,4,3,6,3,4,5,5,5,10,7,8,9}

{1,0,4,6,8,0,4,5,1,1,8,1,10,6,2,2,10,3,5,3,7,6,6,8,9,6,8,10,10}

22171

Returns: 547899303
11

{1,5,0,0,0,3,4,1,6,7,8,1,1,3,2,2,4,5,3,5,6,7,8,9,4,5,8,5,6,7,7,7}

{0,0,6,9,10,1,1,5,1,1,1,9,10,2,6,7,3,3,10,4,4,4,4,4,10,7,5,9,7,8,9,10}

15361

Returns: 522420029
13

{0,0,4,5,0,0,9,12,1,1,1,1,1,1,8,1,10,11,12,2,4,2,6,7,8,9,2,2,2,3,3,3,7,3,3,10,3,4,4,4,4,4,4,5,7,5,5,5,6,6,10,6,8,9,10,11,7,8,10,8,10,9,9,12,12}

{1,3,0,0,6,8,0,0,2,3,4,5,6,7,1,9,1,1,1,3,2,5,2,2,2,2,10,11,12,4,5,6,3,8,9,3,11,6,7,8,9,10,12,6,5,9,10,12,7,9,6,12,7,7,7,7,12,9,8,11,9,11,12,10,11}

7781

Returns: 712543671
11

{0,2,3,0,5,6,7,8,9,10,2,3,4,5,1,1,1,3,4,2,6,2,2,9,10,4,5,3,3,3,9,10,5,4,4,4,9,4,5,5,5,9,5,6,8,9,10,7,7,10,8,10,10}

{1,0,0,4,0,0,0,0,0,0,1,1,1,1,6,8,10,2,2,5,2,7,8,2,2,3,3,6,7,8,3,3,4,6,7,8,4,10,6,7,8,5,10,7,6,6,6,8,9,7,9,8,9}

12639

Returns: 479695159
7

{0,0,0}

{2,3,6}

15457

Returns: 346681746
14

{2,4,6,7,8,13,8,1,2,2,2,8,9,11,2,3,3,6,4,6,8,6,6,11,9,11,12}

{0,0,0,0,0,0,1,12,3,6,7,2,2,2,12,4,12,4,8,5,5,9,13,8,10,13,13}

49315

Returns: 502640441
11

{1,1,5,2,8,9,9}

{2,5,2,9,3,4,6}

6749

Returns: 18752241
13

{0,3,4,5,0,9,0,0,12,2,4,5,1,1,1,1,12,2,2,2,2,2,2,12,3,7,8,3,3,11,3,5,4,8,4,4,5,5,5,5,6,8,6,7,9,7,12,9,8,11,10,11}

{2,0,0,0,8,0,10,11,0,1,1,1,8,9,10,11,1,5,6,7,9,10,11,2,6,3,3,9,10,3,12,4,6,4,10,12,6,7,9,12,7,6,9,8,7,10,7,8,10,8,9,12}

43057

Returns: 234448490
10

{0,1,1,6,1,3,6,8,3,6,7,9,7,8,6,9,7}

{5,2,5,1,8,2,2,2,5,4,4,4,5,5,7,6,8}

49067

Returns: 627072592
13

{1,0,3,0,0,0,10,11,2,1,4,1,6,7,8,1,12,4,2,7,8,2,11,12,3,3,3,3,9,3,3,3,4,4,4,4,11,4,6,7,5,10,7,6,9,6,11,9,12,8,11,11,10,12}

{0,2,0,5,6,7,0,0,1,3,1,5,1,1,1,9,1,2,5,2,2,10,2,2,4,5,7,8,3,10,11,12,5,6,8,10,4,12,5,5,9,5,6,8,6,10,6,7,7,9,9,10,12,11}

18914

Returns: 873934394
14

{8,13,3,2,4,11,12}

{1,1,2,5,6,5,8}

31615

Returns: 445543928
13

{0,0,0,0,1,6,7,1,8,9,3,4,9,7,6,6,6,7,9,7,11,12,8,10,12}

{5,6,9,11,4,1,1,11,2,2,10,8,4,5,9,11,12,8,7,10,7,7,11,9,11}

30184

Returns: 992016533

Statistics

Problem Statement for "HamiltonianPaths"

Problem Statement

Definition

Constraints

Examples