Problem Statement
A school club is formed as follows:
- First, someone becomes the founder of a club and its only member.
- Then, zero or more times, a member of the club invites one of their friends to join the club.
There are N kids. They are numbered from 0 to N-1, inclusive.
You are given a list of all friendships: for each valid i, kids X[i] and Y[i] are friends.
Compute the size S of the largest possible club. Then, find one order in which some kids can form that club.
Return a
Definition
- Class:
- JoinAClub
- Method:
- maximumClub
- Parameters:
- int, int[], int[]
- Returns:
- int[]
- Method signature:
- int[] maximumClub(int N, int[] X, int[] Y)
- (be sure your method is public)
Constraints
- N will be between 1 and 50, inclusive.
- X will have between 0 and 250 elements, inclusive.
- Y will have the same number of elements as X.
- Each element of X and Y will be between 0 and N-1, inclusive.
- For each i, X[i] will not be equal to Y[i].
- All unordered pairs of kids described by X and Y will be distinct.
Examples
5
{}
{}
Returns: {2 }
Nobody has any friends, so the biggest possible club consists only of its founder.
4
{0, 0, 0, 1, 1, 3}
{1, 2, 3, 3, 2, 2}
Returns: {2, 0, 1, 3 }
Four kids, everyone is friends with everyone else. All four of them can form a club and any order in which they join is valid.
6
{0, 1, 2, 5}
{3, 3, 3, 3}
Returns: {2, 3, 0, 1, 5 }
In the example output 2 is the club's founder, then 2 invites 3, and then 3 invites 0, 1, and 5.
47
{0, 4, 6, 6, 42}
{13, 7, 7, 23, 15}
Returns: {4, 7, 6, 23 }
47
{0, 14, 6, 6, 42}
{13, 7, 7, 23, 15}
Returns: {6, 7, 23, 14 }
1
{}
{}
Returns: {0 }
2
{}
{}
Returns: {0 }
2
{1}
{0}
Returns: {0, 1 }
7
{2, 4, 4, 2, 1, 4, 4, 1, 0, 6, 0, 1, 3, 6, 4}
{6, 0, 3, 3, 0, 2, 6, 2, 2, 1, 6, 3, 0, 3, 1}
Returns: {2, 0, 1, 3, 4, 6 }
7
{0, 0, 5, 3, 6, 0, 3, 1, 0, 4, 5}
{4, 3, 6, 6, 4, 6, 4, 2, 5, 5, 3}
Returns: {3, 0, 4, 5, 6 }
7
{2, 5, 3, 4, 4, 4, 0, 2, 0}
{3, 1, 6, 0, 1, 5, 1, 6, 5}
Returns: {4, 0, 1, 5 }
4
{0, 3, 1}
{1, 0, 3}
Returns: {3, 0, 1 }
25
{11, 15, 1, 18, 22, 7, 12, 0, 6, 13, 16, 11, 19, 10, 2, 6, 13, 6, 0, 19, 0, 17, 17, 15, 10, 1, 20, 13, 0, 1, 6, 19, 1, 18, 12, 14, 2, 21, 12}
{24, 8, 23, 23, 15, 8, 1, 12, 24, 11, 2, 23, 20, 14, 5, 7, 15, 9, 3, 18, 8, 6, 11, 6, 12, 21, 18, 10, 9, 19, 16, 0, 17, 1, 24, 6, 8, 20, 16}
Returns: {2, 5, 8, 16, 0, 7, 15, 6, 12, 3, 9, 19, 13, 22, 14, 17, 24, 1, 10, 18, 20, 11, 21, 23 }
4
{1, 0, 3}
{0, 3, 1}
Returns: {3, 0, 1 }
50
{4, 37, 46, 8, 1, 7, 49, 39, 36, 26, 47, 39, 1, 38, 37, 46, 14, 9, 39, 41}
{2, 15, 37, 4, 8, 33, 8, 18, 38, 35, 31, 37, 10, 34, 40, 9, 7, 18, 30, 31}
Returns: {9, 18, 46, 39, 37, 30, 15, 40 }
29
{22, 4, 8, 3, 9, 7, 16, 4, 11, 7, 27, 25, 17, 11, 28, 19, 28, 6, 3, 26, 23, 21, 3, 17, 3, 9, 1, 9, 24, 28, 9, 19, 15, 24, 28, 9, 27, 10, 14, 20, 17, 10, 25, 18, 14, 7, 18, 5, 27, 20, 17, 16, 23, 11, 5, 23, 2, 12, 22, 3, 20, 9}
{10, 8, 10, 6, 21, 14, 10, 16, 3, 17, 18, 16, 6, 12, 24, 23, 23, 12, 4, 16, 18, 6, 8, 11, 12, 8, 24, 14, 27, 27, 6, 20, 2, 18, 13, 7, 13, 11, 6, 2, 21, 9, 12, 1, 16, 16, 20, 6, 19, 28, 10, 5, 24, 5, 21, 15, 1, 14, 14, 25, 27, 22}
Returns: {3, 4, 6, 8, 11, 12, 25, 16, 5, 9, 14, 17, 21, 10, 7, 26, 22 }
36
{20, 18, 15, 23, 19, 13, 1, 0, 17, 26, 15, 29, 5, 25, 2, 28, 33, 35, 34, 15, 20, 35, 32, 29, 21, 7, 16, 2}
{29, 10, 11, 14, 2, 30, 22, 18, 35, 33, 29, 3, 8, 28, 25, 34, 6, 1, 31, 17, 12, 31, 17, 16, 33, 14, 14, 8}
Returns: {2, 8, 19, 25, 5, 28, 34, 31, 35, 1, 17, 22, 15, 32, 11, 29, 3, 16, 20, 14, 12, 7, 23 }
37
{20, 16, 10, 23, 10, 11, 32, 35, 18, 20, 5, 17, 19, 31, 8, 34, 19, 29, 1, 11, 31, 28}
{6, 33, 17, 8, 5, 3, 11, 6, 2, 11, 28, 6, 12, 9, 15, 15, 16, 1, 27, 17, 12, 0}
Returns: {3, 11, 17, 20, 32, 6, 10, 35, 5, 28, 0 }
14
{4, 4, 11, 8, 6, 7, 1, 3, 6, 11, 4, 3, 10, 12, 8, 4, 11, 12, 4, 13, 0, 10, 1}
{12, 9, 0, 6, 10, 8, 11, 0, 13, 3, 1, 2, 7, 9, 13, 2, 9, 2, 11, 7, 1, 8, 3}
Returns: {2, 3, 4, 12, 0, 1, 11, 9 }
50
{43, 48, 31, 22, 21, 48, 24, 36, 44, 39, 14, 37, 23, 11, 44, 17, 4, 9, 20, 33, 35, 13, 13, 43, 10, 3, 30, 30, 32, 20, 14, 0, 12, 28, 35, 27, 2, 38, 6, 30, 21, 30, 7, 30, 29, 2, 41, 44, 23, 6, 31, 21, 36, 24, 43, 35, 46, 8, 24, 44, 40, 4, 22, 12, 19, 33, 19, 38, 40, 29, 16, 13, 21, 7, 9, 28, 17, 29, 36, 4, 48, 18, 16, 32, 38, 10, 27, 2, 15, 17, 11, 46}
{3, 31, 25, 0, 34, 39, 16, 16, 16, 23, 36, 35, 3, 24, 42, 33, 39, 15, 29, 47, 17, 1, 42, 33, 40, 35, 49, 27, 36, 32, 24, 37, 35, 10, 27, 25, 35, 44, 13, 12, 16, 17, 22, 0, 28, 27, 5, 13, 12, 18, 12, 42, 20, 1, 4, 30, 8, 3, 10, 32, 38, 49, 17, 2, 2, 19, 27, 16, 11, 14, 26, 16, 44, 39, 38, 24, 43, 15, 26, 7, 8, 36, 5, 29, 24, 18, 37, 48, 13, 37, 44, 39}
Returns: {5, 16, 41, 13, 21, 24, 26, 36, 38, 44, 1, 6, 15, 42, 34, 10, 11, 14, 28, 18, 20, 32, 9, 40, 29 }
7
{0, 6, 2, 1, 6, 5, 4, 6, 3, 2, 2, 6, 4, 3, 3, 6, 5, 5, 0, 3, 2}
{5, 5, 5, 4, 0, 4, 2, 4, 4, 1, 3, 2, 0, 1, 0, 1, 1, 3, 1, 6, 0}
Returns: {2, 0, 1, 3, 4, 5, 6 }
11
{1, 5, 3, 3, 6, 7, 2, 10, 8, 4, 1, 10, 7, 5, 9, 0, 10, 0, 4, 9, 10, 6, 6, 2, 2}
{4, 10, 5, 2, 5, 9, 8, 8, 3, 9, 7, 6, 0, 8, 0, 1, 2, 4, 7, 1, 3, 8, 3, 6, 5}
Returns: {2, 3, 5, 6, 8, 10 }
50
{15, 44, 20, 20, 49, 17, 33, 6, 27, 18, 43, 15, 0, 23, 5, 28, 33, 47, 34, 25, 11, 31, 16, 24, 48, 24, 45, 23, 7, 39, 26, 41, 3, 49, 27, 41, 10, 49, 22, 36, 19, 4, 31, 12, 36, 13, 30, 17, 45, 24, 29, 24, 46}
{39, 30, 6, 0, 33, 34, 19, 31, 12, 2, 18, 2, 24, 46, 35, 32, 45, 42, 30, 23, 13, 22, 26, 16, 2, 34, 42, 1, 34, 45, 40, 25, 21, 43, 10, 32, 26, 1, 44, 46, 42, 27, 35, 40, 29, 24, 21, 35, 25, 6, 46, 20, 45}
Returns: {3, 21, 30, 34, 44, 7, 17, 24, 22, 35, 0, 6, 13, 16, 20, 31, 5, 11, 26, 10, 40, 27, 12, 4 }
34
{24, 10, 16, 10, 8, 24, 27, 10, 29, 7, 3, 25, 32, 32, 8, 23, 26, 4, 28, 11, 23, 3, 18, 9}
{18, 0, 26, 9, 28, 27, 1, 28, 28, 31, 0, 3, 1, 6, 2, 4, 28, 15, 13, 28, 14, 33, 32, 28}
Returns: {2, 8, 28, 9, 10, 11, 13, 26, 29, 0, 16, 3, 25, 33 }
44
{41, 20, 11, 25, 27, 20, 19, 17, 10, 22, 19, 24, 17, 26, 21}
{43, 41, 22, 21, 22, 24, 35, 34, 39, 41, 17, 0, 0, 9, 27}
Returns: {11, 22, 27, 41, 21, 20, 43, 25, 24, 0, 17, 19, 34, 35 }
50
{19, 28, 29, 47}
{7, 30, 21, 15}
Returns: {7, 19 }
17
{0, 8, 7, 9, 13}
{2, 14, 15, 16, 4}
Returns: {2, 0 }
29
{20, 26, 23, 0, 7, 23, 3, 2, 27, 13, 13, 2, 6, 15, 17, 1, 19, 7, 25, 25, 2}
{9, 23, 2, 18, 21, 21, 22, 25, 5, 2, 23, 0, 17, 11, 11, 10, 4, 23, 14, 28, 3}
Returns: {2, 0, 3, 13, 23, 25, 18, 22, 7, 21, 26, 14, 28 }
50
{33, 31, 4, 28, 32, 22, 11, 13, 37, 27, 31, 16, 44, 6, 20, 4, 8, 46, 2, 48, 21, 49, 17, 40, 23, 46, 0}
{37, 18, 41, 10, 22, 19, 7, 20, 25, 34, 14, 9, 16, 27, 11, 14, 10, 14, 33, 0, 36, 3, 1, 3, 0, 36, 11}
Returns: {4, 14, 41, 31, 46, 18, 36, 21 }
11
{7, 7, 5, 9, 2, 10}
{3, 4, 4, 1, 1, 7}
Returns: {3, 7, 4, 10, 5 }
6
{5, 4, 3, 4, 5, 0, 4}
{2, 0, 1, 2, 0, 2, 5}
Returns: {2, 0, 4, 5 }
43
{3, 7, 26, 13, 25, 15}
{31, 33, 2, 7, 6, 12}
Returns: {7, 13, 33 }
15
{12, 3, 8, 7, 4, 7, 3, 8, 3, 13, 2, 4, 11, 1, 5, 1, 0, 12, 2, 6, 10, 4, 13, 0, 0, 2, 10, 0, 7, 14, 6, 0, 10, 3, 12, 6, 3, 13, 0, 4, 2, 14, 12, 13, 12, 7, 10, 5, 6, 6, 5, 12, 6, 14, 12, 0, 13, 14, 14, 5, 10, 7, 8, 2, 13, 10, 0, 7, 2}
{4, 14, 5, 10, 14, 5, 7, 3, 10, 8, 8, 8, 9, 9, 3, 11, 5, 6, 14, 14, 2, 3, 5, 3, 7, 7, 12, 12, 4, 13, 8, 13, 14, 2, 3, 10, 6, 2, 14, 10, 6, 5, 13, 3, 5, 8, 8, 10, 7, 4, 2, 2, 5, 8, 8, 6, 6, 7, 12, 4, 13, 13, 0, 4, 4, 0, 4, 12, 0}
Returns: {2, 0, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14 }
10
{9, 6, 9, 1, 4, 1, 1}
{2, 8, 8, 4, 5, 2, 8}
Returns: {2, 1, 9, 4, 8, 5, 6 }
12
{3, 8, 10, 9, 9, 6, 6, 5, 3, 11, 8, 4, 3, 0, 8, 5, 5, 5, 9, 4, 1, 6, 1, 8, 8, 0, 3, 3, 1, 7, 8, 0, 1, 7, 6, 2, 6, 0, 11, 10, 7, 10, 8, 2, 11, 2, 2, 0, 7, 4, 10, 2, 3, 1, 0, 7, 4, 8, 8, 7, 2, 4, 1, 1, 9, 11}
{5, 9, 5, 5, 4, 10, 9, 6, 0, 6, 10, 10, 10, 6, 11, 7, 0, 11, 3, 11, 11, 3, 9, 2, 0, 11, 8, 4, 3, 9, 6, 10, 6, 4, 2, 4, 7, 9, 3, 9, 1, 7, 4, 0, 10, 9, 10, 7, 8, 0, 1, 7, 2, 5, 1, 11, 6, 1, 5, 3, 5, 5, 2, 4, 11, 2}
Returns: {2, 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11 }
7
{1, 2, 5, 3, 4, 5, 3, 3, 2}
{0, 4, 0, 6, 6, 1, 4, 2, 6}
Returns: {2, 3, 4, 6 }
33
{21, 30, 5, 13, 0, 3, 14, 9, 24, 23, 24, 30, 4, 11, 11, 26, 4, 16, 32, 31, 17, 0, 23, 22, 26}
{31, 17, 21, 22, 4, 28, 22, 14, 29, 19, 7, 14, 20, 17, 23, 4, 18, 0, 6, 15, 12, 14, 21, 1, 5}
Returns: {4, 0, 18, 20, 26, 14, 16, 5, 9, 22, 30, 21, 1, 13, 17, 23, 31, 11, 12, 19, 15 }
50
{11, 36, 5, 43, 47, 40, 29, 30, 44, 8, 46, 2, 42, 7, 17, 37, 13, 12, 41, 35, 9, 48, 9, 4, 35, 37, 13, 28, 22, 12, 33, 16, 22, 38, 4, 4, 33, 31, 13, 27, 38, 37, 36, 20, 48, 1, 21, 33, 24, 30, 39, 1, 21, 22, 40, 43, 10, 27, 43, 47, 41, 32, 40, 36, 25, 36, 6, 42, 29, 14, 5, 39, 36, 17, 45, 47, 21, 33, 5, 46, 24, 15, 13, 0, 24, 23, 13, 5, 45, 17, 43, 18, 47, 7, 48, 29, 43, 37, 24, 21, 20, 19, 5, 16, 38, 37, 37, 44, 26, 26, 36, 42, 35, 25, 15, 37, 18, 42, 12, 30, 17, 31, 0, 22, 31, 35, 46, 10, 47, 30, 27, 2, 13, 5, 41, 24, 42, 40, 25, 46, 44, 0, 40, 26, 42, 19, 41, 19, 17, 19, 43, 42, 24, 4, 15, 29, 45}
{8, 12, 42, 20, 8, 33, 4, 9, 41, 7, 19, 35, 27, 17, 31, 10, 42, 27, 33, 10, 21, 42, 1, 48, 1, 15, 43, 39, 28, 43, 0, 6, 7, 30, 3, 26, 6, 28, 45, 1, 3, 4, 20, 26, 35, 48, 2, 31, 23, 48, 22, 49, 15, 31, 28, 3, 49, 21, 37, 34, 18, 34, 0, 2, 9, 26, 24, 35, 48, 39, 25, 24, 4, 8, 35, 23, 36, 16, 4, 17, 17, 2, 5, 39, 28, 8, 49, 49, 42, 14, 4, 46, 17, 28, 10, 15, 49, 35, 11, 26, 1, 32, 21, 8, 49, 29, 27, 32, 43, 12, 5, 37, 4, 21, 13, 5, 8, 15, 10, 42, 40, 7, 46, 24, 18, 27, 31, 15, 7, 10, 36, 38, 2, 2, 6, 32, 1, 34, 48, 44, 40, 41, 39, 27, 49, 14, 24, 39, 28, 47, 1, 20, 44, 12, 12, 3, 25}
Returns: {2, 5, 13, 15, 21, 35, 36, 38, 4, 25, 37, 42, 49, 43, 45, 10, 12, 29, 9, 26, 27, 1, 48, 20, 3, 30 }
45
{13, 10, 27, 40, 43, 14, 12, 19, 14, 21, 32, 7, 1, 6, 7, 22, 8, 19, 11, 29, 13, 31, 35, 18, 3, 36, 40, 18, 16, 40, 13, 37, 39, 39, 32, 24, 6, 42, 19, 8, 36, 24, 7, 17, 35, 13}
{4, 28, 44, 27, 36, 1, 42, 15, 23, 23, 18, 3, 41, 38, 24, 1, 26, 34, 14, 18, 9, 17, 38, 12, 38, 41, 8, 6, 33, 5, 14, 29, 25, 12, 6, 39, 20, 35, 24, 9, 44, 32, 42, 40, 34, 36}
Returns: {4, 13, 9, 14, 36, 8, 1, 11, 23, 41, 43, 44, 26, 40, 22, 21, 27, 5, 17, 31 }
18
{7, 4, 12, 1, 12, 10, 5, 9, 5, 3, 13, 13, 8, 9, 7, 12, 5, 7, 10, 17, 7, 5, 13, 9, 16, 12, 1, 16, 16, 17, 10, 1, 9, 15, 16, 14, 15, 15, 10, 2, 2, 4, 3, 7, 0, 8}
{6, 17, 1, 14, 7, 3, 13, 10, 16, 14, 11, 17, 16, 4, 14, 17, 17, 10, 2, 0, 11, 11, 0, 16, 6, 4, 17, 3, 2, 8, 8, 8, 8, 12, 0, 4, 0, 11, 11, 7, 3, 7, 15, 15, 7, 0}
Returns: {2, 3, 7, 10, 16, 14, 15, 0, 4, 6, 11, 12, 8, 9, 5, 1, 13, 17 }
50
{23, 28, 38, 9, 11, 10, 24, 43, 42, 29, 39, 34, 26, 8, 46, 12, 24}
{22, 4, 3, 47, 29, 21, 25, 10, 5, 49, 6, 39, 40, 11, 34, 48, 26}
Returns: {6, 39, 34, 46 }
34
{13, 21, 8, 22, 10}
{28, 22, 25, 25, 28}
Returns: {8, 25, 22, 21 }
19
{16, 4, 5, 1, 5}
{8, 12, 10, 5, 0}
Returns: {5, 0, 1, 10 }
10
{3, 2, 7, 2, 7, 9, 6, 4, 9, 1, 4, 9, 1, 8, 6, 9, 4, 0, 5, 7, 9, 7, 0, 0, 4, 3, 8, 6, 3, 3, 1, 5, 6, 2, 9, 7, 8, 5, 3, 7, 3, 7, 6, 0, 6}
{7, 5, 1, 4, 8, 5, 3, 5, 0, 2, 0, 8, 0, 1, 9, 1, 7, 3, 6, 0, 4, 5, 2, 8, 1, 2, 4, 0, 8, 5, 3, 8, 8, 6, 2, 9, 2, 1, 4, 6, 9, 2, 1, 5, 4}
Returns: {2, 0, 1, 3, 4, 5, 6, 7, 8, 9 }
14
{0, 8, 11, 11, 4}
{7, 12, 7, 6, 12}
Returns: {6, 11, 7, 0 }
6
{2, 2, 3, 1, 0, 5}
{0, 1, 0, 5, 1, 2}
Returns: {2, 0, 1, 5, 3 }
50
{18, 1, 20, 33, 45, 27, 28, 40, 37, 12, 29, 12, 9, 14, 39, 24, 4, 20, 21, 31, 46, 1, 1, 23, 28, 39, 31}
{32, 28, 17, 13, 5, 22, 35, 20, 49, 33, 48, 24, 11, 39, 24, 9, 25, 6, 4, 33, 34, 10, 41, 3, 4, 26, 39}
Returns: {9, 11, 24, 12, 39, 33, 14, 26, 31, 13 }
38
{11, 6, 24, 0, 19, 9, 4, 37, 21, 4, 13, 32, 16, 8, 11, 17, 2, 2, 6, 10, 24, 12, 9, 23, 19, 34, 35, 1, 3, 7, 30, 27, 26, 7, 7, 5, 19, 30, 30, 36, 3, 25, 9, 12, 35, 29, 32, 29, 2, 20, 29, 34, 25, 11, 35, 16, 28, 18, 4, 36, 23, 28, 7, 21, 34, 1, 1, 26, 6, 6, 35, 21, 3, 17, 29, 31, 28, 34, 3, 19, 13, 0, 25, 27, 36, 6, 4, 15, 18, 32, 35, 2, 1, 0, 35, 37, 15, 27, 16, 2, 18, 5, 9, 23, 3, 21, 26, 32, 21, 2, 34, 2, 10, 15, 0, 29, 13, 1, 31, 35, 25, 2, 19, 35}
{30, 22, 19, 19, 16, 34, 28, 26, 34, 19, 16, 0, 30, 28, 6, 30, 6, 22, 13, 12, 34, 13, 10, 8, 25, 0, 37, 7, 29, 16, 13, 13, 0, 32, 36, 9, 22, 10, 5, 24, 8, 30, 37, 7, 27, 37, 12, 35, 7, 5, 10, 14, 37, 36, 19, 1, 9, 25, 15, 25, 11, 30, 8, 36, 19, 9, 19, 10, 17, 0, 23, 24, 22, 1, 24, 3, 35, 11, 19, 15, 36, 11, 5, 24, 6, 18, 21, 31, 31, 24, 33, 4, 26, 33, 26, 1, 9, 36, 8, 36, 13, 31, 20, 36, 16, 18, 6, 30, 22, 34, 5, 29, 23, 24, 24, 23, 3, 30, 16, 10, 4, 20, 30, 32}
Returns: {2, 4, 6, 7, 20, 22, 29, 34, 36, 15, 19, 21, 25, 28, 0, 11, 13, 17, 18, 26, 1, 8, 12, 16, 32, 5, 9, 3, 10, 23, 24, 35, 37, 14, 27, 31, 30, 33 }
6
{3, 0, 3, 1, 5, 3, 2}
{2, 4, 5, 5, 2, 1, 1}
Returns: {2, 1, 3, 5 }
11
{9, 4, 1, 9, 9, 7, 0, 0, 4, 1, 6, 4, 1, 5, 10, 7, 7, 1, 4}
{2, 1, 9, 3, 6, 8, 3, 8, 10, 2, 5, 8, 0, 8, 2, 1, 6, 6, 2}
Returns: {2, 1, 4, 9, 10, 0, 6, 7, 8, 3, 5 }
50
{42, 45, 44, 42, 12, 43, 28, 30, 1, 44, 31, 45, 13, 17, 24, 12, 2, 16, 6, 46, 3, 22, 44, 33, 27, 38, 44, 5, 4, 27, 35, 25, 0, 14, 45, 38}
{4, 47, 47, 18, 11, 19, 15, 29, 13, 36, 10, 10, 44, 20, 41, 6, 27, 20, 14, 8, 34, 38, 20, 39, 24, 19, 46, 10, 47, 34, 49, 46, 27, 43, 25, 24}
Returns: {4, 42, 47, 18, 44, 45, 13, 20, 36, 46, 10, 25, 1, 16, 17, 8, 5, 31 }
15
{11, 3, 10, 12, 14, 8, 9, 9, 2, 13, 13, 6, 0, 9, 10, 3, 6, 0, 1, 1, 0, 12, 3, 7, 5, 14, 5, 9, 5, 7, 3, 6, 2, 10, 11, 12, 4, 14, 14, 2, 3, 3, 11, 13, 3, 14, 9, 14, 7, 4, 7}
{5, 1, 4, 0, 13, 10, 14, 6, 11, 0, 12, 13, 6, 0, 2, 0, 3, 1, 6, 12, 7, 9, 9, 13, 2, 7, 8, 13, 10, 9, 12, 12, 8, 11, 8, 7, 8, 0, 12, 4, 14, 7, 4, 1, 13, 1, 1, 6, 6, 5, 1}
Returns: {3, 0, 1, 6, 7, 9, 12, 13, 14 }
34
{3, 4, 12, 7, 16, 28, 33, 4, 7, 2, 8, 17, 9, 7, 26, 21, 24, 13, 22, 32, 18, 26, 11, 6, 28, 23, 23, 31, 13, 27, 29}
{14, 8, 22, 32, 18, 31, 24, 24, 6, 19, 12, 22, 11, 14, 7, 31, 12, 14, 26, 1, 24, 11, 17, 3, 2, 27, 8, 29, 16, 26, 22}
Returns: {2, 19, 28, 31, 21, 29, 22, 12, 17, 26, 8, 24, 11, 7, 27, 4, 23, 18, 33, 9, 6, 14, 32, 16, 3, 13, 1 }
8
{1, 5, 2, 1, 4, 4, 5, 3, 1, 6, 7, 2, 2}
{5, 2, 3, 6, 0, 7, 3, 6, 3, 5, 0, 1, 6}
Returns: {2, 1, 3, 5, 6 }
10
{1, 5, 8, 9, 1, 2, 6, 3, 0, 7, 6, 0, 0, 7, 8, 2, 1, 3, 5, 1, 4, 0, 4}
{7, 2, 1, 2, 5, 0, 2, 7, 4, 4, 8, 7, 3, 2, 4, 4, 2, 5, 7, 0, 1, 8, 6}
Returns: {2, 0, 1, 4, 5, 6, 7, 9, 3, 8 }
37
{16, 24, 20, 5, 14, 31, 32, 14, 36, 31, 35, 22, 33, 1, 23, 35, 11, 31, 6, 7, 25, 1, 16, 1, 11, 4, 19, 17, 16, 27, 14, 13, 0, 11, 34, 17, 7, 30, 28, 36, 5, 27, 21, 8, 20, 7, 9, 33, 27, 33, 10, 29, 2, 13, 6, 5, 11, 1, 20, 15, 14, 34, 10, 6, 6, 21, 18, 15, 30, 27, 35, 1, 2, 25, 4, 11, 14, 10, 1, 18, 25, 36, 36, 0, 19, 0, 34, 26, 25, 35, 8, 23, 13, 12, 18, 1, 32, 28, 3, 35, 32, 8, 10, 21, 24, 20, 26, 13, 3, 17, 2, 30, 20, 15, 21, 26, 25, 20, 6, 3, 22, 2}
{18, 1, 34, 33, 13, 20, 28, 21, 21, 11, 1, 34, 10, 20, 14, 15, 3, 28, 32, 19, 18, 25, 28, 36, 2, 11, 28, 16, 1, 1, 27, 35, 2, 1, 10, 18, 20, 22, 12, 13, 16, 20, 4, 1, 18, 34, 22, 29, 12, 0, 4, 12, 28, 1, 30, 28, 24, 15, 33, 36, 7, 1, 9, 31, 2, 13, 30, 29, 10, 35, 36, 5, 20, 35, 34, 33, 10, 12, 10, 32, 4, 29, 10, 5, 14, 13, 21, 14, 0, 21, 3, 1, 29, 31, 35, 2, 8, 7, 32, 6, 35, 28, 15, 33, 28, 10, 0, 22, 4, 34, 27, 36, 29, 13, 5, 17, 29, 25, 34, 7, 10, 36}
Returns: {2, 0, 1, 6, 11, 20, 27, 28, 36, 5, 13, 25, 26, 33, 8, 10, 15, 16, 23, 24, 34, 35, 30, 31, 32, 3, 4, 7, 18, 29, 12, 14, 19, 21, 22, 17, 9 }
22
{5, 7, 7, 3, 8, 12, 3, 6, 11, 12, 1, 20, 18, 1, 10, 15, 20, 10, 18, 2, 9, 4, 4, 8, 0, 21, 0, 2, 5, 1, 3, 6, 13, 19, 0, 17, 15, 21, 3, 8, 10, 14, 13, 15, 20, 10, 0, 4, 0, 2, 5, 0, 15, 7, 1, 1, 17, 18, 19, 11, 8, 14, 7, 15, 13, 9, 1, 15, 21, 9, 3, 4, 17, 20, 1, 17, 16, 4, 21, 9, 14, 16, 18, 11, 19, 13, 10, 9, 4, 10, 13, 3, 8, 4, 7, 12, 17, 3, 6, 10, 8, 5, 11, 21, 9, 0, 4, 10, 17, 21, 5, 0, 1, 21, 20, 16, 17, 5, 11, 7, 7, 11, 14, 10, 6, 13, 15, 13}
{20, 13, 16, 15, 6, 2, 5, 10, 5, 13, 19, 6, 13, 12, 12, 1, 16, 18, 12, 5, 11, 8, 1, 10, 14, 14, 12, 8, 6, 3, 19, 1, 0, 10, 6, 6, 17, 19, 16, 20, 3, 12, 6, 16, 2, 2, 5, 2, 9, 17, 16, 21, 9, 9, 7, 5, 4, 7, 20, 19, 11, 3, 4, 8, 16, 16, 0, 18, 2, 17, 20, 11, 13, 12, 21, 0, 8, 5, 18, 19, 11, 0, 0, 13, 12, 2, 20, 13, 9, 14, 20, 21, 7, 14, 21, 9, 21, 12, 15, 11, 13, 13, 21, 9, 14, 19, 0, 15, 10, 10, 14, 8, 10, 12, 14, 2, 19, 9, 1, 12, 20, 16, 6, 0, 3, 14, 19, 21}
Returns: {2, 4, 5, 8, 10, 12, 13, 16, 17, 20, 21, 0, 1, 7, 9, 11, 14, 3, 6, 15, 18, 19 }
12
{9, 7, 10, 0, 4, 8, 8, 2, 0, 9, 2, 7, 5, 11, 6, 1, 6, 6, 8, 6, 2, 3, 8}
{0, 9, 7, 7, 3, 10, 11, 1, 10, 11, 5, 6, 1, 0, 0, 4, 8, 9, 0, 11, 4, 2, 9}
Returns: {6, 0, 7, 8, 9, 11, 10 }
39
{31, 1, 3, 20, 32, 2, 5, 29, 15, 9, 7, 27, 12, 26, 9, 27, 21, 17, 32, 25, 2, 33, 3, 19, 37, 12, 4, 31, 4, 2, 20, 8, 37, 3, 15, 8, 32, 27, 9, 5, 14, 36, 21, 0, 29, 36}
{15, 5, 22, 17, 28, 5, 24, 25, 1, 29, 33, 20, 14, 19, 18, 21, 15, 6, 5, 19, 14, 9, 29, 9, 30, 27, 0, 8, 34, 1, 13, 21, 13, 11, 37, 4, 13, 34, 25, 4, 21, 29, 34, 32, 35, 19}
Returns: {2, 1, 5, 14, 15, 4, 24, 32, 12, 21, 31, 37, 0, 8, 34, 13, 28, 27, 30, 20, 17, 6 }
50
{45, 46, 38, 11, 18, 6, 38, 29, 37, 40, 5, 3, 42, 33, 49, 44, 41, 39, 42, 27, 28, 12, 40, 27, 36, 30, 29, 19, 38, 41, 30, 36, 19, 47, 1, 43, 11, 35, 9, 43, 35, 5, 20, 37, 34, 23, 31, 32, 29, 41, 1, 39, 23, 7, 26, 6, 4, 38, 33, 48, 14, 48, 36, 40, 6, 35, 11, 31, 36, 44, 7, 41, 27, 37, 9}
{23, 39, 42, 35, 32, 20, 35, 11, 45, 42, 26, 25, 30, 19, 10, 22, 14, 24, 21, 21, 48, 29, 14, 26, 43, 44, 9, 5, 1, 37, 37, 45, 6, 7, 30, 44, 26, 23, 1, 35, 36, 11, 30, 34, 21, 20, 17, 49, 19, 22, 23, 28, 6, 17, 22, 14, 2, 5, 35, 47, 9, 13, 37, 9, 35, 44, 36, 49, 15, 9, 13, 26, 5, 12, 20}
Returns: {5, 11, 19, 26, 27, 38, 29, 35, 36, 6, 33, 22, 41, 21, 1, 42, 9, 12, 23, 43, 44, 15, 37, 45, 14, 20, 34, 30, 40 }
5
{0, 4, 1, 3, 4, 4, 1, 1, 3, 3}
{2, 1, 3, 2, 0, 2, 2, 0, 0, 4}
Returns: {2, 0, 1, 3, 4 }
25
{7, 0, 2, 19, 5, 21, 8, 18, 9, 7, 14, 12, 4, 23, 17, 18, 2, 14}
{5, 22, 13, 8, 10, 0, 7, 9, 12, 20, 7, 2, 15, 6, 15, 15, 23, 23}
Returns: {2, 12, 13, 23, 9, 6, 14, 18, 7, 15, 5, 8, 20, 4, 17, 10, 19 }
26
{8, 17, 2, 19, 6, 11, 7, 7, 12, 4, 16, 13, 11, 3, 5, 19, 5, 24, 20, 0, 23, 1, 20, 0, 25, 0, 16, 22, 25, 18, 8, 3, 11, 0, 22, 1, 12, 10, 20, 12, 7, 21, 8, 0, 19, 5, 22, 16, 20, 12, 16, 23, 9, 9, 1, 6, 16, 17, 22, 23, 19, 10, 1, 21, 20, 22, 6, 17, 25, 1, 8, 4, 2, 10, 0, 18, 2, 22, 2, 12, 23, 10, 5, 15, 17, 6, 25, 11, 25, 16, 11, 7, 6, 22, 25, 21, 3, 21, 7, 10, 18, 15, 8, 23, 5, 14, 25, 11, 23, 18, 4, 8, 24, 19, 23, 20, 24, 1, 9, 7, 15, 21, 19, 6, 12, 1, 20, 23, 6, 3, 12, 25, 6, 13, 7, 9, 15, 1, 11, 7, 25, 9, 23, 21, 4, 3, 3, 8, 9, 15, 25, 1, 10, 7, 16, 17, 1, 1, 21, 9, 5, 15, 1, 13, 22, 1, 5, 20, 5, 13, 2, 18, 2, 23, 14, 4, 0, 12, 12, 14, 4, 3, 4, 19, 0, 25, 25, 7, 6, 0, 12, 15, 11, 25, 0, 20, 1, 13, 14, 16, 4, 18, 14, 22, 25, 11, 15, 0, 21, 14, 7, 11, 13, 22, 3, 6, 5, 14, 23, 13, 6, 20, 12, 19, 2, 16, 1, 24, 10, 21, 19, 5, 22, 18, 21, 16, 15, 15, 19, 8, 11, 20, 18, 21, 25, 5, 9}
{16, 14, 10, 14, 22, 3, 2, 11, 6, 2, 19, 24, 20, 12, 2, 25, 8, 25, 9, 4, 5, 12, 4, 13, 1, 10, 1, 11, 18, 0, 15, 14, 15, 6, 9, 0, 18, 24, 19, 23, 18, 11, 3, 11, 2, 17, 21, 18, 22, 15, 22, 20, 14, 17, 23, 9, 24, 2, 7, 0, 12, 14, 13, 24, 7, 19, 16, 7, 4, 9, 13, 17, 14, 13, 16, 17, 24, 23, 11, 4, 2, 22, 16, 18, 23, 21, 11, 5, 16, 14, 19, 6, 17, 8, 17, 8, 25, 17, 23, 3, 24, 17, 14, 6, 24, 15, 22, 24, 3, 10, 6, 7, 23, 18, 18, 8, 0, 2, 2, 10, 20, 16, 1, 13, 11, 24, 13, 10, 24, 18, 25, 7, 19, 9, 12, 12, 0, 8, 23, 1, 8, 15, 8, 3, 8, 5, 19, 9, 10, 25, 20, 14, 11, 5, 4, 19, 18, 11, 15, 24, 1, 5, 21, 12, 1, 17, 19, 3, 12, 2, 20, 6, 3, 13, 24, 11, 3, 10, 8, 13, 18, 4, 24, 24, 17, 21, 13, 0, 10, 20, 17, 24, 9, 14, 14, 18, 20, 21, 18, 13, 15, 21, 7, 0, 23, 16, 6, 19, 2, 5, 4, 18, 7, 15, 9, 20, 6, 4, 4, 19, 1, 24, 20, 21, 22, 7, 4, 3, 1, 12, 10, 22, 18, 9, 20, 12, 2, 1, 23, 6, 13, 17, 5, 4, 0, 10, 7}
Returns: {2, 1, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 0, 6, 8, 12, 16, 18, 25 }
5
{1, 3, 2, 2}
{0, 4, 0, 1}
Returns: {2, 0, 1 }
15
{8, 0, 10, 14, 3, 7, 3, 11, 13, 12, 6, 7, 9, 14, 0, 4, 9, 5, 5, 1, 12, 13, 8, 12, 12, 0, 0, 0, 11, 6, 4, 4, 7, 1, 12, 8, 1, 9, 13, 0, 7, 13, 11, 14, 0, 6, 3, 14, 3}
{4, 1, 5, 9, 1, 2, 2, 6, 6, 8, 3, 3, 4, 8, 6, 5, 10, 14, 9, 11, 5, 2, 10, 9, 10, 2, 7, 3, 2, 1, 14, 10, 6, 2, 4, 5, 7, 8, 7, 11, 11, 1, 13, 12, 13, 2, 11, 10, 13}
Returns: {2, 0, 1, 3, 6, 7, 11, 13 }
5
{3, 1, 3, 4}
{0, 0, 1, 2}
Returns: {3, 0, 1 }
18
{12, 11, 10, 1, 17, 0, 5, 2, 3, 14, 2, 5, 9, 5, 1, 17, 6, 16, 17, 13, 8, 6, 1}
{16, 0, 1, 15, 13, 7, 3, 12, 1, 8, 14, 7, 4, 1, 6, 14, 12, 0, 5, 0, 12, 0, 0}
Returns: {2, 12, 14, 6, 8, 16, 17, 0, 1, 5, 13, 7, 11, 3, 10, 15 }
24
{11, 19, 16, 11, 21}
{8, 20, 11, 22, 23}
Returns: {8, 11, 16, 22 }
5
{1, 4, 2, 3, 0, 1, 4, 3, 1, 2}
{3, 1, 4, 2, 4, 2, 3, 0, 0, 0}
Returns: {2, 0, 1, 3, 4 }
5
{1, 0, 3, 4}
{4, 1, 2, 0}
Returns: {4, 0, 1 }
50
{44, 25, 37, 41, 3, 46, 7, 15, 42, 43, 43, 7, 8, 32, 37, 21, 1, 29, 46, 11, 43, 19, 19, 15, 43, 36, 46, 4, 17, 12, 0, 3, 0, 16, 41, 41, 7, 23, 7, 5, 24, 42, 46, 41, 39, 27, 34, 36, 43, 31, 48, 14, 12, 33, 22, 15, 38, 8, 17, 33, 44, 14, 26, 35, 49, 49, 19, 7, 38, 1, 10, 42, 44, 34, 5, 13, 27, 19, 45, 35, 4, 33, 36, 0, 35, 28, 34, 8, 23, 3, 8, 29, 38}
{49, 15, 22, 15, 16, 49, 13, 4, 48, 26, 21, 21, 38, 20, 27, 19, 8, 37, 15, 9, 19, 16, 33, 47, 9, 32, 41, 27, 40, 2, 4, 23, 22, 24, 30, 8, 19, 12, 24, 42, 12, 25, 14, 39, 37, 49, 44, 12, 23, 18, 25, 27, 18, 21, 38, 37, 5, 48, 31, 6, 48, 44, 16, 16, 41, 42, 9, 43, 1, 4, 1, 0, 28, 29, 44, 9, 42, 40, 2, 12, 44, 36, 16, 25, 18, 42, 25, 4, 35, 31, 0, 10, 27}
Returns: {2, 12, 45, 18, 23, 24, 35, 36, 31, 3, 43, 7, 16, 32, 33, 17, 9, 19, 21, 26, 13, 20, 6, 40, 11 }
50
{47, 23, 41, 36, 38, 0}
{12, 7, 36, 43, 14, 33}
Returns: {36, 41, 43 }
13
{1, 7, 9, 0, 0, 9, 3, 9, 6, 10, 4, 11, 4, 12, 6, 10, 5, 4, 1, 2, 8, 3, 7, 2, 6, 1, 7, 9, 2, 1, 1, 7, 3, 7, 8, 5}
{6, 1, 3, 12, 4, 8, 0, 0, 11, 5, 8, 5, 3, 4, 7, 11, 6, 9, 5, 10, 0, 12, 11, 6, 10, 10, 10, 12, 11, 2, 11, 5, 8, 2, 12, 2}
Returns: {2, 1, 5, 6, 7, 10, 11 }
4
{3, 0, 1, 1, 3, 0}
{2, 3, 2, 0, 1, 2}
Returns: {2, 0, 1, 3 }
7
{0, 6, 6, 5, 0, 5, 2, 4, 3, 6, 3, 2, 6, 3, 1, 5, 0, 6, 1, 3, 4}
{4, 5, 0, 3, 1, 1, 3, 5, 6, 2, 4, 0, 4, 0, 2, 2, 5, 1, 4, 1, 2}
Returns: {2, 0, 1, 3, 4, 5, 6 }
13
{3, 11, 11, 9, 6, 4, 12, 2, 12, 2, 3, 7, 2, 4, 12, 8, 8, 12, 2, 9, 9, 10, 2, 4, 2, 11, 9, 8, 2}
{6, 4, 0, 0, 1, 9, 1, 9, 8, 11, 1, 1, 12, 10, 10, 0, 3, 11, 8, 8, 3, 9, 10, 2, 5, 7, 11, 5, 6}
Returns: {2, 4, 5, 6, 8, 9, 10, 11, 12, 1, 3, 0, 7 }
50
{2, 24, 18, 25, 28, 2, 35, 22, 7, 25, 9, 36, 27, 11, 35, 34, 19, 16, 18, 47, 28, 49, 23, 6, 38, 45, 44, 10, 39, 12, 6, 21, 47, 1, 8, 26, 15, 0, 11, 2, 18, 48, 20, 30, 36, 45, 11, 0, 0, 2, 30, 49, 49, 5, 47, 3, 16, 8, 12, 22, 32, 8, 25, 26, 37, 21, 10, 24, 30, 13, 33, 40, 49, 17, 25, 23, 37, 6, 22, 37, 0, 35, 31, 18, 42, 26, 20, 7, 46, 44, 36, 11, 42, 38, 27, 18, 21, 39, 38, 20, 19, 33, 13, 22, 37, 4, 38, 30, 17, 44, 33, 48, 40, 9, 7, 12, 19, 35, 14}
{41, 17, 30, 0, 8, 35, 14, 23, 26, 7, 34, 29, 12, 45, 37, 45, 21, 29, 47, 12, 44, 28, 16, 44, 18, 14, 32, 5, 38, 26, 4, 11, 13, 36, 26, 4, 42, 28, 34, 11, 23, 17, 12, 32, 15, 43, 43, 47, 22, 40, 15, 26, 27, 3, 32, 31, 49, 13, 0, 20, 20, 20, 27, 13, 43, 9, 33, 45, 22, 36, 17, 45, 23, 40, 18, 44, 41, 15, 26, 11, 30, 41, 14, 8, 20, 47, 7, 4, 37, 25, 18, 31, 16, 28, 1, 26, 33, 42, 25, 6, 3, 14, 25, 28, 48, 38, 7, 44, 37, 18, 35, 34, 14, 14, 42, 32, 31, 48, 24}
Returns: {4, 6, 7, 26, 38, 15, 20, 44, 25, 42, 8, 12, 13, 18, 22, 47, 49, 28, 39, 30, 36, 32, 23, 0, 27, 16, 1, 29 }
28
{6, 25, 5, 18, 23}
{10, 13, 1, 20, 16}
Returns: {5, 1 }
49
{0, 14, 6, 6, 42, 7, 8, 9, 10, 5 }
{13, 7, 7, 23, 15, 9, 7, 8, 9, 10 }
Returns: {5, 10, 9, 7, 8, 6, 14, 23 }
5
{ }
{ }
Returns: {2 }