TopCoder Statistics - Problem Statement

Problem Statement

You are the king of Nowhere Land. You've recently received some big donations, so you've decided to hire more guards to protect your country. There are k different guarding companies in Nowhere Land. Each guarding company has agencies in various cities. If a guarding company has an agency in a city, then that company is allowed to have at most one guard working in that city. Otherwise, the company is not allowed to have any guards in that city. As long as you obey this rule, you can add as many new guards as you want. However, you cannot fire or move existing guards.

There's one problem though. Some pairs of cities cooperate with each other and have certain requirements when hiring guards. If city A cooperates with city B, and a certain company has a guard working in city A but not city B, that is considered a conflict. For each pair of cooperating cities, each distinct company that breaks this rule counts as a conflict, so there may be multiple conflicts within a single pair of cities.

You are given a String[] cities. The number of elements in cities is equal to the number of cities in Nowhere Land. The j-th character of the i-th element of cities is '1' (one) if cities i and j cooperate, and '0' (zero) otherwise. You are also given String[]s guards and agencies. The i-th element of guards is a space separated list of guarding companies that already have guards working in city i. The i-th element of agencies is a space separated list of guarding companies that have an agency in city i. Each guarding company is represented as an integer between 0 and k-1, inclusive. Return the minimum possible number of conflicts that can exist after hiring additional guards.

Definition

Class:: NowhereLand
Method:: placeGuards
Parameters:: String[], int, String[], String[]
Returns:: int
Method signature:: int placeGuards(String[] cities, int k, String[] guards, String[] agencies)
(be sure your method is public)

Constraints

cities will contain between 1 and 50 elements, inclusive.
The number of characters in each element of cities will be equal to the number of elements in cities.
Each character of each element of cities will be a zero ('0') or a one ('1').
The i-th character of i-th element of cities will be '0'.
The i-th character of j-th element of cities will be the same as the j-th character of i-th element.
k will be between 1 and 50, inclusive.
cities, guards and agencies will all contain the same number of elements.
Each element of guards will contain between 0 and 50 characters, inclusive.
Each element of guards will be a single space separated list of distinct integers between 0 and k - 1, inclusive, with no extra leading zeroes, without leading or trailing spaces.
Each element of agencies will contain between 0 and 50 characters, inclusive.
Each element of agencies will be a single space separated list of distinct integers between 0 and k - 1, inclusive, with no extra leading zeroes, without leading or trailing spaces.
For each integer in the i-th element of guards, this integer will also be in the i-th element of agencies.

Examples

{ "0111", "1000", "1000", "1000" }

1

{ "0", "", "", "" }

{ "0", "0", "", "0" }

Returns: 1

There's only one guarding company in Nowhere Land. You can hire additional guards in cities 1 and 3. The best solution is to hire guards in both these cities. Then there will be just one conflict (between cities 0 and 2).
{ "011", "101", "110" }

1

{ "0", "", "" }

{ "0", "", "" }

Returns: 2

You can't hire additional guards here. There are 2 conflicts (between cities 0 and 1 and cities 0 and 2).
{ "011", "101", "110" }

1

{ "", "", "" }

{ "0", "0", "0" }

Returns: 0

There are two possible solutions. You can hire a guard in each of the three cities and get rid of all conflicts. Alternatively, don't hire anybody and there will also be no conflicts.
{ "011", "101", "110" }

1

{ "0", "0", "" }

{ "0", "0", "0" }

Returns: 0
{ "011", "101", "110" }

2

{ "0", "", "1" }

{ "0 1", "1", "1 0" }

Returns: 2
{ "010100", "101100", "010011", "110010", "001100", "001000" }

3

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

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

Returns: 7

In this example there are 3 guarding companies. A possible solution is to hire a guard from company 0 in city 2 and guards from company 1 in cities 1 and 3. As a result, there will be 7 conflicts: two between cities 3 and 4 and one between cities 0 and 1, 0 and 3, 1 and 2, 2 and 4, 2 and 5.
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48

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{"17 32 23 18 15 19 38 9 33 30 45 28 46","","24 37 2 11 25","13","43 39 3 15 30 12 17 16 8 22 28","","4 10 36 19 32 5 21 18 30","41 25 7 6 37 24 32 18 9 16 8","8 14 5 47 13 4 35 25 0 43 9 45 32 33","11 22 37 15 29 21 20 26 4 39","18 46 6 8 11 4 33 47","35 42 0 40","12 3 13 18 35 23 39 26 22 31 15 20","26 32 31 41 16 5 25 33 27 4 18","44 34 41 36 4 47 38 45 25 8 37 15 24 35 31","28 18 8 2 19 14 7 24","11 26 10 43 13 4 34 45 23","3 4 34","16 17 28 32 34 29 22 4 31 0 33 10","9 32 38 28 29 14 20 7 37 13 45 43 2","21 20 47 14","36 23 8 4 3 43 0 31 15","18 36 44 15 17 4","14 44 38 42 23 29 24 47 1","12 14 46 10 25 31 45 41 4 15 23","40 9 28 47 6 26 14 33 20 4 1 8 32 34","2 33 7 40 41 10 28 38","9 18 45 29 24","23 2 27 10 38","0 33 3 27 26","26 25","19 16 31 15 24 20 46 38","","11 24 43 42 45 13 7 3 30 32","38","36 25 9 40 42 19 6 5 21 22 41 47","26 42 3 27 8 6 31 46 37 17 0 44 38 47 18","37 2 17 5 36 31","2 32 16 0 6 22 5 1","41 26","16 17 20 38 0 34 25 5 47 41 1 13","47 15 6","27 2 6 7","21 44 39 17 0 35 10 32 15 30 28 13 20","32 16","19 24 12 25 15 40 27 1 21 0 46 4 10","25 1 42 34 20 15 19 21 3 40 10"}

Returns: 2142
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50

{"38 29 18 10 47 25","49 16 0 23 27 10","12 0 36 6 8 34","39 19","8 42 16 26 33 20 29 11","11 16 44","11 15","39 28 46 42 33 36","37 24 9 45 17 30","49 39 31 33 34 22","3 35 23 46 40","15 20","21 45 12 18 35","17 42 3","36 4 24 23 48","4 43 6","15 32 8 37","45 37 21 49 6 33","27 45 12 15 4","13","21 45 37 7 47 16","18 38 5 2 44","44 46","12 28 47 17 15 4 32 19","19 38","13 27 49 33","0","44 28 43 36 46","25 20 6","12 25 35 47 42","29 36 40 48 19","20 47 27 8 41 39","36 38 3 22 39 17 48 31 15","49 22 30 48 41 18 3","","17 20","42 20 47 48 31 36 33 24","29","37","33 1 46","8","8 47 5 16 10","3 23 2 48 6 11 28","22 0 25 45 43","","14 20","8 34 11","11 30 2 22 3 28 29 10",""}

{"16 38 7 33 31 18 25 36 40 37 29 10 47","5 22 31 27 16 26 23 0 49 33 38 32 35 10 28","21 36 0 38 8 37 28 12 46 6 35 34 2","39 43 19 3","13 42 11 16 15 33 20 36 8 29 39 26","13 16 47 4 11 44 9 25","11 26 15","28 9 33 37 24 46 39 16 42 36","17 9 42 24 38 11 45 37 30","32 49 22 33 39 34 31","42 23 13 45 3 32 35 38 29 46 19 40","7 34 20 15","37 21 4 35 2 13 40 18 12 45","42 17 3","39 24 34 48 49 4 36 40 23","7 44 6 4 43 28","37 8 15 17 32","21 33 45 35 34 17 25 49 37 6 9","12 10 45 27 15 43 16 34 38 4 3","13","26 45 7 10 21 24 37 9 12 25 47 22 16 44","30 2 44 18 26 15 5 38","46 44 6","17 4 0 32 47 19 15 12 24 7 28","38 19 44","33 49 27 8 1 13","0","43 22 34 41 7 49 25 46 44 21 28 36 33 17","1 25 43 6 19 7 11 33 20","12 49 21 42 25 35 27 46 47 22","28 23 19 3 48 44 46 29 40 36 2 26","19 47 40 8 37 42 20 48 41 39 27","17 31 22 26 38 47 48 15 3 42 13 36 39","22 32 6 48 20 3 41 49 35 39 7 12 9 30 18","","17 12 20","36 43 47 42 13 20 24 48 31 33 25 37","23 41 29 45","37","46 0 6 33 1 11 19","22 8","32 18 47 40 5 43 39 46 8 19 12 10 16 17","25 28 6 1 11 23 48 2 39 3 21 34","0 29 43 45 42 25 11 22","","4 14 20","8 34 11","33 30 5 29 47 35 3 2 22 15 6 28 11 10",""}

Returns: 1899
{"0010011000000100000000101000001010001000","0000001000011101001011100001000101100000","1000001101010000000101000010100111010100","0000001010001010001010100001001101110100","0000000001000100100111011100001110101100","1000001001000001001100011100000000000100","1111010000000000010010010100101000110001","0010000001100000001010011010011100001100","0001000000010010000000100010010010000010","0010110100010000100000000000000000000000","0000000100001010100000001001110001110010","0110000011000010111001000011101010000111","0101000000100000000010000010000101000011","1100100000000000110010010100001101010100","0001000010110001010000000110100010110001","0100010000000010010001010100001000000000","0000100001110100000010011001000001010000","0000001000010111001011010001110000001000","0101010100010000010000000010101100000000","0010110000000000000000110000000101101000","0101101100001100110001010010100001010001","0110100000010001010010010001010101100100","1101000010000000000100011011100001000010","0000111100000101110111100000000100000010","1000110100100000100000100000100100111001","0000111000000111000000000000100000000010","0010000110011010001010100000000000000010","0101000000110000110001100000101001011100","0010001000110010011010101101000001100001","0000000110100000010001000000000001111000","1001101100010101001000000001000011010001","0111100100001100001101011000000010001000","1010100010010010000000000000001100011010","0111000000101100100111100001111000101010","0101101000100010000101001000110001001001","0011001000100110100010001001011010000000","1000100100000000010100001001010111100010","0011110100010100000001000001000000000001","0000000010111000000000110110000011001000","0000001000011010000010001000101000100100"}

47

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{"19 46 39 12","20 27 29 10 30 24 8 34","23 14","9 26 1 46 23 4 6 39 5 35","15 22 41 33 16 24 32 7 37 21 26 46 34 30","35 3 28 7 43 29 15 6 16 32","38 15 31 42 22 26","22 15 10 16 4 39 8 3 25 13","44","0 11 34 19 20 25 33 29","27 2 21 28 26 7 41 24 40 38 12 13","45 33 20 16 40 6 3 19 46 32 41","27 38 8 36 31 4 35 0 16 11 7 39 37","0 18 7 29 28 25 38 14 44","18 14 25 5 0 30 29 19","25 4 44 2 7 6 28 8 15 35 42 30 27 37","14 9 7 20 0 29 19 17 23 16 42 26","","4 43 35 30 0 9 42 25 5 10 12","43 25 22 21 12 38 5 24 23 3 15 42","39 33 10 8 11 5 36 24 37 29 45","36 34 7 42 21 19 0 10 30 31 44 17 45","46 32 7 14 19 44 11 0 27 35 30 41 22","41 18 24 17 29 32 1 44 2","32 5 23 28 31 39 10 29 20 16 7 35","19 9 40 36 14","22 35 31 18 6 43 40 36 3","13 0 32 8 15 42 38 36 26 5 14 7 33 20 34","22 9 16 12","39 33","33 28 24 32 36 6","19 44 34 20 24 10 8 33 37 4 13 16 38 11","27 10 30 12 36 24 28 20 43","24 7 27 29","45 22 41 33 34 16 10 20","0 41 13 7 16 45 2 5 23 29","24 10 0 40 2 27 3 35 37","","26 36 15 19 31 32 37 46 10 3 24 27","14 39 36 24 7 40 42 19 45 18"}

Returns: 2045
{"00000000000000100111011100011000000110000100","00000000000000100001100110000000000101000000","00010100000000010101000000000011011001000100","00101000110000000100111000001000000001000001","00010110001000011100000000000011000010000110","00101000010010110001000100000011110000110101","00001001010100000001000101011010001000010110","00000010000011001001001010001100001000000110","00010000000101001000000100000010001000000110","00010110000000010001011001100111010000011000","00001000000000101100011011101000000101010000","00000010100011110010100010011101101001001001","00000101000100110100100010110011110100100001","00000001100100000100000000000010000000000000","11000100001110001001001001001101110100000100","00101100010110000000110010110000000000000001","00001001101000100110001000000000111010011000","10111000001011001010110010000001100100000000","10000000000100001100101011010000010111000000","11100111010000100000001000100000000110100011","01010000000110010110000011001100101000100100","10010000011000010100001000011001100010010100","10010001011000101011010000000110010100100000","11000110100000000000000001001001110010100000","01000001001110010110100000110000000100110000","00000010011000100010100100001000100000011101","00000000011010010001000010000111000011100000","10000010000110010010010010000000000100100001","10010011001100100000110101000100010000110000","00000001010100100000101000101000111000100000","00101110110011000000001000100000100100001001","00101100010110100100010100100000001010000010","00000100000110101100110101000110010010011100","00100100010010101010001100001100100011000101","00100011100100001000100000000101000010000011","11000000001010100111001010010010000010010000","10001000000000001011010100100001111101100111","01110000001100000010000000100000010010001100","00000100000010000001101110111100000010000011","00000110011000001000010011001000100100000000","00000000010100001000000001000010100001000000","10101111100000100000110001000000110011000000","00001011100000000001000000000001001010100001","00010100000110010001000001010010011010100010"}

45

{"2 25 20 39 31","","4","6 41 14 25 8 17 9","15 37 11 3 10 26 13","11 41 33 24 35 12","11","34 24 5 17","13 33 11 16 36","30 12 1 13 23","3 39 27 6 9 34 13 18 43","18 28 24 7 12","14 38 7 36 41 24 12 5","32 20 1 29","22","21 43 32 42 41 26","17","2 1","","","","13 42 28 39","10","","34 19 35 25 21 44","34 42 2","22","32 26","20 30 5 33 4","4 25 21 7 28","","32","22","7 36 2","0 14","10 40 35 27","4 21 27 38 40 17","8 1 44 12 26 0","21 11 8","6 9 41 15 35 23 7 13","13 10 6 14 39","35 38 41 33","",""}

{"18 21 31 3 20 43 39 30 2 25 16","","18 4 23 44","41 17 21 18 9 25 8 14 39 6 13","15 37 11 3 10 14 28 27 13 26 7 0 43","33 5 20 11 12 35 41 19 28 24","11","34 41 42 29 26 5 24 10 17","36 35 28 8 16 11 18 34 13 33 30 20 12","22 1 13 23 30 2 19 12","33 36 39 2 6 3 43 18 15 34 19 9 13 27 22","7 32 24 12 38 28 13 4 21 18","36 10 12 14 34 38 18 8 27 7 41 24 5","28 3 20 1 40 43 41 29 32 27 15","22","43 10 4 11 32 21 42 9 7 26 28 22 41","3 17 8 38 25 13 30","34 24 11 2 1","19 42 21","25","16","13 26 23 20 42 31 30 4 39 28 7 10 6 5","10","33 23","17 21 35 19 34 2 20 31 9 44 25 8 4 32","28 2 42 34 30","22 19","26 32 8","21 23 33 3 4 30 20 27 0 8 5","21 25 19 34 4 0 7 28 27","","32 36","32 22","36 20 6 2 7 33","26 14 29 0 19","27 29 10 35 12 40","2 38 40 12 4 17 27 21 44 6 23 33","21 26 8 12 1 0 44","11 29 40 8 34 26 21 43","13 35 41 0 6 28 15 23 9 7","6 14 43 11 39 10 29 13","38 17 8 41 33 34 0 7 35 24","8","6 5 22 16"}

Returns: 1793
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40

{"0 14","34 29 38 15 25","3 35 24 16","11 32 25 30","","11 9 35","3 1 14 11","5 9","38 26","7 25 33 32 19 37 9","2 17 6 30 11 33","11 34 12 38 33 35 10 26","","","1","23 15 14 12 6 38 28 39 20 9","4 9 21 29 28 32 39","18 4 17 2 34 16","2 24","38 13","3 5 22 24","30 1 34 5 36","17","32","36 34 28 32 2 33 15","0","6 7 37","25 32","37 23 22 0","5 37 26 29","0","14 31 0","16 32 22","20 35","33 25 5 12 26 24","13 7 10 25 14 35 0 32 2 4","","26 22 17 18 29 24 1","12 9","31 23","12","","","30 16","5 16 29 26 37 2 24 11"}

{"23 14 3 30 36 0 12 27 38 13 5","25 38 4 20 15 7 29 34","36 0 37 32 35 3 16 11 24 2","32 4 33 30 13 11 34 25","24 39 11","33 37 35 9 29 7 6 10 11","13 31 36 17 38 11 6 25 3 14 1 29","36 5 32 6 9 19","8 26 38","13 37 7 19 26 30 9 10 33 6 3 25 32","30 36 33 6 11 35 2 17 27 0","34 7 11 16 35 0 25 5 38 10 39 33 3 26 12","","34 26 13 37","29 1","12 15 21 23 20 39 38 0 29 14 7 6 9 28","39 4 28 21 32 10 9 17 14 27 29 5","34 17 14 4 18 11 16 13 2","24 2 22 35","3 13 17 38 26","27 22 26 7 25 24 31 3 30 5","36 8 23 27 1 25 28 34 6 5 19 3 30","17","26 32","2 13 36 32 39 33 34 25 28 29 15","0","7 2 9 20 37 34 6 19 15","39 32 29 31 25 14","22 28 18 0 23 37 27 1 8 38","29 3 14 2 5 26 37","0","20 28 0 31 21 36 14","36 32 35 33 16 24 22 14 31 26","35 20 29","5 25 33 30 24 12 26","20 25 24 4 10 14 12 32 1 0 2 7 35 13","","3 22 24 34 29 0 37 1 17 18 26","6 36 12 17 9 25","8 18 39 23 13 31 25","3 12","22 2 12 17 11","","32 22 11 16 1 30 20","5 28 33 26 32 2 19 24 11 29 36 37 16"}

Returns: 1225
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42

{"20 33 6 24 9 18 1","","","41 30 26 39 0","6","28 17 32 6 31 7 12 40","","13 29","14 18","34 38","11 6 4 29 14","24","10 14 21 20","9 24 19 26 7","14 21 15 8","15 20 22","","0 11 19","","23 41","4 6 17 25 28","38 11 30 6 19","35 23 11 41 33 8","","25 39","0","20 21 38 34","","15 25 34 38","34 39 7","21 36 29","","29 18","","27 8 0 4 1","0 39 2 20 30","25 21 9 22","41 9 29 3","38 34 28 7 39","32"}

{"0 1 33 20 24 18 9 34 6 12 8","","","0 22 27 41 39 12 30 26 15","7 37 6","28 33 7 38 17 31 32 6 40 12","","30 19 29 5 20 13 22","18 14 32","13 22 17 10 34 38","4 27 29 0 32 14 6 16 11","36 24","20 10 14 21","3 26 19 9 24 7","11 14 23 0 15 21 30 4 8","34 2 31 20 41 15 22 1 21 37","30 19 1 17 20 40 28","36 4 34 0 10 11 19 21 7 37 33","","15 41 23 14 10 5","4 17 28 24 1 25 6 31 23 9","11 22 38 14 6 40 37 30 33 19","41 1 13 23 22 8 2 11 3 35 33","","22 17 25 28 39","0","17 35 4 16 34 21 20 38","4","25 36 38 34 8 15","39 34 25 24 21 7","20 35 8 34 7 6 9 36 31 41 29 21","","34 38 29 8 18 41 27","22","13 8 0 41 38 1 22 25 39 4 27 32","2 9 0 7 20 30 39 31","40 22 25 2 9 21","15 9 37 3 41 29 8 30","34 15 27 14 38 28 8 7 36 39 19","29 32 5 9"}

Returns: 1825
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44

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Returns: 2246
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42

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Returns: 2426
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46

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Returns: 1996
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50

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Returns: 1582
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50

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Returns: 1710
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40

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Returns: 2113
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49

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Returns: 1945
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45

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Returns: 1516
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50

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Returns: 1121
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46

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Returns: 1441
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43

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Returns: 2320
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45

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Returns: 1324
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49

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Returns: 2195
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46

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{"13 34 14 23 6 0 4 1 18 19 24","14 29 3 33 25 6 27 37 0 20","11 42 16 17 34 12 9 41 28 33 35 20 23","38 21 25 0 17 3 14 41 2 24 22 31 30 39 7","17 8 19 4 10","42 14 33 26 8 4","","36 42 17 5","33 1 45 38 22","18 5 30 33 7 29 36 4 34 39 2 40","18 12 8 10 13 31 3","35 21 38 43 0 13 14 41 4 8","23 37 21 40 42 6 35 32 43 0 36 22 5 45 27","25 8 34 3 9 37 14 10","19 2 45 34 40","15 25 22 34 26 16 45 2 5 8 10 39 17 42","18 28 12","14 4 26 36 9 42 43 24 33","","21","31 26 16 33 36 23 1 20 38 11 28 32 17 27","25 42 20 11 38 40 41 22 9 31","20 37 44 34 42 27 29","45 4 16 20 15 34 30 37 12 39 31 1","40 22 10 37 0 33 18 35 7","","26 22","7 9 37 11 22 43 35 31 36 38 12 34 27","9 34 29 2 0 24 21 33 17 12 15","1 45 16 27 37 30 44 33 8 42 4","0 7 24 35 32 29 26 22 11 15 4 5","43 24 42 29 34 0 8 14 41","35 5 9 3 22 28 11 27 1 0","5 8 22","30 22 4 25 18 34 38 41 13 29","","","22 38 0 21 6 37 16","18 32 37 13 40 42 23 30 24","3 27 21 18 22 40 39 23 4 12 5 30","16 44 39 43 4 31 36 15 27 34 37 17 21"}

Returns: 1774
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41

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Returns: 1810
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41

{"0","18 33 39 12","9 38 24 4","10 28 26 36 0 7 35","26 25","27 16 11 25 34","37 22 30 12 5 23","10 33 27 16 30","21 26 2 4 17 36 13","27 33","8 17 15 4","10 5 1","","1 38 11 30","16 33 20","35 14 9 10 28 5 16","20 16 8","8 34 28","","16 20 3","2 16","15 10 4","12","1 37 10 24 38","","4 33","10 6 31","0","0 16 14 20","32 2 15 19 12 29","4 0","22 34 27 39 19 40 8 11","13","5 17 2 27 38 40","10 39 17 31 3","36 10 9","10 33 5 27","","29 27 8","16 40 9 31","38 30 24 15 40 5","24 16 37 5 35","10 3 31 17 14","11","36 17 28","8 18 28 32","4 12 24","23 29 8 4 25 26","24 11 6 32 33 4 28","35"}

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Returns: 1827
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50

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Returns: 2249
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41

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Returns: 2221
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50

{"16 32 7 9 31 12 22","37 9 33 20 21","5","9","25 39 15 41","18 47 46 35 13 6 21 16","11 38","","48 38 13 47 35 43 39 29","","20 10 49 23","22 28 2 31 19 32","","7 10","4 27 25","15 48 42 36 14 34 8","19 14 13 20 39","5","3","19 11 27 16 44 3 24 32 14","36 25 8","41","22","3 1 17 9","2 48 22 18 9","34 49 39 2 26 14","18 34 42","5 36 13","41","15 30","37 32 34 16 40 38 0","15","9 3","7 9 8 35 4 17 10 3","5 22 3 42 21","","32 20 14 26 7 6 11","42 27 33 30","","30 2 32 47 15","7 24 47","37","22 27","49 45 39 19 15 7","27 23 9","24 25 43 4 35 15","12 36 40"}

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Returns: 1798
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40

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Returns: 1450
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48

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Returns: 1992
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40

{"38","","","33","19 38 3","1","37 22 23 24","3","27 7 25 39 38","27 12 21 26 19 16 17","37 8 19 15 16 3 25 35 33","3 17 11","","29 7","24","27 39 29 12 25 17","10 30 12 32 2","","28 27","9 31 16 29","2","2 21 8 6 18 1 26 10","8 28","33 24","1 10 38 24 0 29 17 20","29","0","32","27 21 10 0 37 36","6 27 22","11 22","17 39 1 28","3 35 20 1 19","","","29 6 24 30 12 23","14 9 26","30","16 17 32 22 31 35","6 18 37"}

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Returns: 1874
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44

{"10","39 43 12 24 35","22 38 29","1","42 37 14 38 35 18 43","21 8 0","35 41","37","30 5 11","35 39 29","","40","27 23 18 34 1 41 3 14 38 35 42 9","2 27 31","7","17 37 32","9","31 17 43 34 27 6","32 2 5 18 7 37 10","35 43 22 15","1 9 16 37 35 29 6 4","10 12 6 7 25 40","1","18 0 29 5","39 15 12 31","32 7 36","","17 3 23 36","","28 8","","25 12","40","41 9","22","15","20","7","29 12 41 25 4 21","","31 42 22","21 5 2","31 6 5 10 2 0 33","13","37 15","37","5 7 17 15 11 32 34 19"}

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Returns: 1222
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50

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Returns: 1311
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45

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Returns: 2022
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43

{"22","26 25","2 30 4 38","7 3 34 14","36 15","","27 23","27 15 3 17","31 14 30","13 9 2 30 20 0","17 37 29 16 12 13","17 28 3 22 31 27","19 3 27","25 21 22 26","23 9 8 2","38 28 2 34","11 2 10 1 14 13","12 38 30 5 18 41 21","16 18 3 38 31","37 33 29 32 30 36","","13 35 3 17 27","41 3 14","38 32 8","9","8 32 27","25 38 24 10 9 8 11","13","18 9 39 42 33 36","17 27","14 36 22 11","6 5 37","38","36","38","34 42 11 20 32 26","15 21","19 8 26 28 11 24","11 33 5",""}

{"22","2 26 25 0 35 12 22","6 38 27 25 4 2 30","14 3 15 7 39 34","23 22 36 15 25 14","","27 23 4","17 3 14 42 15 27","14 19 30 31 4 2","32 0 2 13 9 5 20 11 30","17 36 10 13 29 18 12 37 16","10 17 28 27 3 22 25 31","21 36 6 7 19 27 3 34","10 14 32 22 24 25 26 29 8 21","9 8 23 27 15 38 2 18 13","38 17 39 25 28 32 41 15 10 34 2","11 1 14 32 41 8 10 13 9 2","4 38 8 5 21 30 18 41 12","6 38 20 25 3 30 37 10 18 31 16 9","30 33 13 32 18 40 24 0 29 7 41 36 37","3 34","4 17 12 5 29 13 39 27 3 25 26 35","41 14 40 3","6 18 38 2 23 28 32 27 3 36 8 9","8 9 17 18","8 27 24 9 5 0 14 23 30 4 11 32 42","8 34 6 2 25 24 11 20 38 22 10 9","13 16 21 11 18 29 4 20","8 40 36 42 39 9 11 18 33","33 29 27 10 16 12 17 24","20 34 22 18 16 14 11 3 36","39 25 11 37 27 6 24 13 30 4 33 5 38 42 36","38 33 37 25","36 22 31 6 1 28 10","4 5 38","32 34 26 42 11 20","14 15 40 21 23","38 8 17 28 11 19 37 24 26 13","16 33 14 11 5",""}

Returns: 1307
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40

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{"38","20 6 0","4 35 15 13 28 30","35 30 9 25 39 22 10 1 2 21 12 11 31","35 16 30 20","30 10 28 18 12 33 9 16 0 37 22 15","19 32 9 36 39 8 17 13","31 4 7 33 29 28 10 18","26","34 13 37 29 8 38 23 5 17 2 6 9","37 16 6 19 38 22 23","20","31","4 23 2 24 20 13 18 38 16","31 39 3 37 28 26 22 4 8 11 13","14 8 1 30 39 19 10 6 0","17 6 0 39 22 25 24 19 20 11 13 35 37","30 2 19 12 37 14","6 15 16 27 14 5 33","23 6 0 28 18 5 15 4 3","35 17 39","37 25 19 24 35 5 13 10 30 29 14 17","2 34","24","27 29 20 4 1 12 22 8","31 28 20 32 38 1 24 30 0","18 29 19 17 28 5 34 4 32 39 2 0","33 25 5 12 34","12 2 24 28 14 36 27 15 31","37 9 33","22 2 19 26 10 7 0 15 25 24","8 13 16 32 2 7 15 39 34 5 10","21 31 18 38 0 1 39 33 19","3 11 31 36","25 16 23 36 30 22 33 38 0 32 24 27","","33 5 10 15 26 16 4","6 27 26 35 16","13 11 8 27 30 23 6 25 29","26 33 1 18","35 20 14 37 36 34 1 6 0 33 28","2 6 36 16 4 22 8 24 5 34 19 28 13 14","25 27 34 12 1 23","30 2 18 0 29 33 39 19 31 17","38 36 39 15 25 9 10 16 17 14 12 1","20 39 33 2 0 27 14 15 28","6 31 29 19 35 28","36 30 15 6 20 18 25 38","34 22 20 31 12 29","24 34 19 39 14 20 26 11 16"}

Returns: 2297
{"000110","001101","010011","110000","101001","011010"}

1

{"0","0","","0","",""}

{"0","0","0","0","0","0"}

Returns: 0
{"011","100","100"}

5

{"2 4","2 0","1"}

{"2 4","2 0","1"}

Returns: 5
{"01","10"}

7

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

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

Returns: 0
{"0"}

9

{"5 1"}

{"1 7 4 3 5 2"}

Returns: 0
{"0111111111","1001111111","1001111110","1110111110","1111011111","1111101110","1111110111","1111111011","1111111101","1100101110"}

3

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

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

Returns: 63
{"011111","101101","110110","111001","101001","110110"}

1

{"","0","","","",""}

{"0","0","","","0","0"}

Returns: 4
{"0000111001","0000100100","0001010011","0010111111","1101011101","1011101011","1001110111","0101101000","0011011001","1011111010"}

5

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

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

Returns: 59
{"0000000","0000000","0000000","0000000","0000001","0000001","0000110"}

2

{"1 0","1 0","1 0","1 0","0 1","1 0","0"}

{"1 0","1 0","1 0","1 0","1 0","1 0","0"}

Returns: 2
{"000","000","000"}

8

{"1 6 7 3","3 0","3"}

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

Returns: 0
{"0000","0010","0100","0000"}

1

{"","0","",""}

{"0","0","",""}

Returns: 1
{"0111111111111111111110111011","1011111011111110010111111111","1101111111111111111111111111","1110111111111111111111111110","1111011111111011111111111111","1111101111111111111011111110","1111110111110111111111111111","1011111011111111111111011111","1111111101111110111110101010","1111111110111111101111110111","1111111111011111011111111111","1111111111101111010111011111","1111110111110111111110111111","1111011111111001111111111111","1111111111111001011111111011","1011111101111110111011111011","1011111111001101011111101111","1111111110111111101011111111","1011111111101111110111011111","1111101111111110101011111111","1111111111111111111101111111","0111111101110111111110111111","1111111011101111110111011111","1111111101111111011111101101","1111111110111111111111110011","0111111101111100111111110011","1111111111111111111111101101","1110101101111111111111111110"}

21

{"","5 3","","","8","","","6","","","","19","9 16","16","","","4","","10","","","17","14","","","","5 9","13"}

{"","5 0 3 4","19 20 10","9","9 7 8 5","10","","6 9","11 2","11 4 13","9","19 14","9 16 0 8","11 16","","","4","18 1","15 4 5 10","12","16","17 19","3 13 14","16","20","","13 9 5","13"}

Returns: 360
{"0111110111011011111101111011001111111","1011011111110111101111111111011001011","1101111111111111011111111111111101111","1110111111111011110111111111111111111","1011011011111101111111111111110111011","1111101111011011111111100011111110111","0111110111111111011011001111111110110","1111011011111111111111111011111111111","1111111101111111110111111111011111111","1111111110111110111111111111110101011","0111101111011110110011111111111111111","1111111111101110101111111111111110111","1011111111110111111111111110111010111","0110101111111011111011110111111101111","1111011111111101111111111111101111011","1111111110001110101111111111111111101","1101110111111111011011011111111110110","1011111111101110101011111111111111101","1110111101011111110011011111011011111","1111110111011011000011111111111111111","0111111111111111111100111011111111111","1111111111111111111100111111111111111","1111110111111111010111011110011111111","1111100111111111111111101111111111111","1111101111111011111111110111111111111","0111101011111111111101111011101111011","1111111111111111111111111100111111111","1111111111110111111111011100111111111","0011111101111111110111011111011011110","0111111111111101111111111011101111111","1111011110111111111111111111110111011","1011111111110111110111111111011011111","1001111110111011111111111111111101101","1111100111100111011111111111111110111","1011011110111101111111111011110111011","1111111111111110101111111111111101101","1111110111111111011111111111011111110"}

20

{"6 10 5 15 1 19 0 12","16","0 15 3 10 11 14 6 1","17 16 4 8 14 18 1","17 6 1 18","6 7 3 0 17","5 18 0 4","10 14 3 16 4 19","15 16 12","2 11 9 1 7 16","17 19 4","17 1 14 13 8","19 16 13 2","11 13","12 15 18 5","13 1 11 6 10","15 19","17 7 10 16 6 19","16 8 11 0 3 7 19 10","7 1 5","4 18 10 8 2","10 7 11 2","16 7 2 5 13","13 1 9","0 14 7 13 2 6 15","7 6 9","19 4 14 15","6 2 3 7 13","17 11 14 19 15 3 0","11 1 0 13 19","6 18 19 9 0","9 17 11","2 14 18 13 4","10 7 17 4","18 14 11 0 16 6","7 19 2 12 16 17 15 4 8","3 2 13 1"}

{"1 6 19 5 15 10 17 12 0","12 6 16","0 14 15 11 3 1 6 10","13 16 5 15 12 14 4 18 17 8 1","17 18 6 13 1 8 2 7","4 7 2 16 6 17 11 0 3","0 15 1 5 18 12 4","4 14 17 3 19 10 13 18 16","13 6 16 12 15","2 16 3 6 9 7 14 8 11 1 12","19 13 5 17 4 16","8 14 17 1 6 9 13","14 13 2 8 19 16","2 11 6 17 13","13 18 12 16 15 5 1 0","1 8 7 13 16 15 6 10 11 14 12","11 15 1 8 19","19 7 17 6 14 10 16","7 3 16 0 10 1 11 19 8 6","1 5 14 17 7","18 2 5 4 13 6 8 10","7 2 10 11","1 2 16 13 5 7","3 16 1 18 13 17 9","13 2 5 7 15 6 0 19 14","6 7 15 5 9 3","16 15 14 19 1 4","7 3 6 13 2 5","0 19 17 3 14 15 11","13 0 17 19 11 6 1","16 18 11 0 6 9 19","17 13 10 5 9 11 4","13 14 10 17 18 4 2","1 3 15 19 17 4 10 12 18 7","16 4 14 18 3 11 0 6","16 12 19 8 4 13 2 7 15 17","2 13 0 1 3"}

Returns: 4312
{"00000001000010010101101111100110100110000","00101000100010100000000001010110010010101","01000100011000110000110101111100101010010","00000000000111100111100100100101101111110","01000111111100000111000100000101100000010","00101010100000110110010010000001010101110","00001101000000100111100010000010000101011","10001010100011101001110100101111001100000","01001101001101010011000010000011011001000","00101000000001000000111001000010000001101","00101000100010001101011011111101000001010","00011000100000101011110100111001111110100","11010001001001100001000101010011001011000","00010001110010110101010000100001111110010","01110111000111001100011000000011010110000","10100100100001001111001011101000000100010","00000001001100110000000100101001000001110","10011110001001110001100010010101011000010","00011110100100010000111000111011000101000","10011011101111010100100100101000100100001","10110011010100000111010000001111101000101","00100101011101100010100000011101111000011","10000000011000110010000111010000001101001","10111001000110001001001000010100100000001","10000110101000010100001000001000010000000","11100000011010010000001000111001000101000","10110001001101011011000001001000001101100","01100000001110000110011101000000110111010","00100001001100011011110011100000001010101","11111001001000000100110100000000100000000","11000011110010100010100000000000000100100","00011101101111101110110001000000000000011","10111000000101000001110100010100000010010","01000100100101100100010010010000000001110","00110001100111000100111000101000000001000","10010111000101110011001001110010000001000","11110000000111100000000000011000100000010","00010110111010001010001001110000011100001","01010100010100001000100000101010010000000","00111110001001011100010000010001110010000","01000010010000000001111100001001000001000"}

44

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{"28 0 2 15 42 32 14 20 43 21","38 43 8 4 0 24 14 7 29 17","42 18 34 31 37 3 9 15 20 29 6 11 4 23 10 16 8","23 19 10 22 20 28 39 6 35 24","41 4 33 11 40 15 38 21 7 26 9","43 22 18 34 15 20 26 40 39 23 24 14","40 3 41 25 9 17 5","16 21 40 29 7 26 30 32 14 3 33 39","12 28 11 16 24 29 3 2 27 31 30 19","43 35 41 4 26 12 16 8 40 17 5 2 1 11 22 15 42","30 34 28 27 8 20 19 26 24 1 11 4 38 31 18 43","40 42 25 20 1 29 16 37 6","23 21 33 5 3 7 2 30 29 39 34 15","25 43 17 7 42 16 2 32","18 42 37 34 25 14 38 8 17 2 30 19 12 39 1 27 9","0 13 22 40 24 39 16 30 34 2 23 5 26 31 10","1 33 15 24 22 8 9 26 41 10 39 3","37 35 25 40 41 16 11 36 5 10","0 31 18 34 4 16 40 5 21 14 42","33 20 32 9 37 35 5 15 41 11 25 4 21","0 13 2 35 3 25 29 31 26 32 24","7 0 6 20 23 37 34 26 15 4 24 30 36 43 11 12 14 9","9 10 1 28 37 3 20 41 23 13 43 19 11 34 31 29 32 7","0 38 40 13 34 24 39 1 31 9 20","0 25 22 41 33 29 28 31","39 13 16 19 35 33 23 18 22 27 41","0 31 25 9 5 43 29 32 34 21 15 22 26 20 42","0 42 40 27 8 24 28 23 35 18 38 39 25","39 29 20 9 4 21 17 16 19 26 2 13","26 6 41 7 12 15 37 25 38 19 18 32 24","3 8 19 11 7 38 36 22 43 18 2 24 27","39 1 43 2 8 40 14 9 35 32 34 36","13 40 25 16 34 39 41 22 12 19 42 30 43 35 10 37","0 34 8 3 37 1 24 22 12","17 20 43 41 8 16 34 33 14 28 42","41 33 16 34 26 8 38 37 7 42 30 13 22","25 37 21 27 30 28 38 42 20 35 3 0 4 10 19 32 26","9 35 26 3 14 31 36 11 42 5 8 43","21 16 20 37 26 22 40 42 3 13 36","10 4 37 17 41 18 24 33 7 16 2","27 37 4 25 10 41 12 20 1"}

Returns: 5444
{"01111111110111111111111111101011111111110110","10111010111101111111111111111111110111011011","11011111011111010101111101010111111111111101","11101110111101110111111010100111111110110101","11110111011100110111111111011101011101111110","10111011011101111111110110010011111011001101","11111101011101111110101101010011111111111111","10101110111011111111011111111011101111111010","11010001011111011111011111011011111101111001","11111111101111111111111111101110111111111011","01111111110111110011101011111011111110101111","11111110111011111111111100111100001111000111","10100001111101111110101111001011111111111011","11110111111110111111111100111111000111011111","11011111011111001011111101011011100011111111","11111111111111001110110110111111111111101010","11000111110111110011111110010111011111010000","11111111110111010011111101111001111111111111","11011111111111111101111101110111111000111111","11111101111101101110111110111011111111111101","11111110011111111111011111111111111100011101","11111101110101111111101101111101111111101000","11111011111111101111110111011011111011111110","11101111110111111111111011110111111010110011","11011101111010011001101101000011111011111011","11101011111010100110111110101110111111101111","11010001011101010111110101011110111110111111","01101111101101111111111100101111111111101010","11001001111111110101111001110011111111011111","01111000010101011010110101110001111001101110","11110111111011111011101111111000111111001010","11111111101011111111111110011100111011101111","11110111111010110111111111111111011011101111","11111110111010011111111111111111101111110100","10111111111110011111111111111111110111111111","11111011111111011101110001111010011001111100","11110111011111111101011111111011111001101111","11101111110111111101011011011111111110101110","10111011111010110111011111110101111111001110","11111011110011101111101110101000011100001001","01101111111011110111111011111111101111110111","10111110001101100111101001101101111111101000","11001011011111110110001111111111101011101001","01110110111111100111100111101001101010011010"}

21

{"7 19 12 10 17 16 15 4 5 2 9","6 17 16 12 1 19 5 14 7 10 8 9 3 2","2 3 17 19 12 4 8 18 20 6 5 14 1","3 16 17 12 19 9 5 10 7 8 6","16 10 17 19 11 3 6 13 12 8 5","18 17 15 2 14 13 1 3 19 0 10 7","18 7 16 13 8 19 6 3 17 11 0 14","7 1 16 18 6 11 15 20 10 3 19 12 8 13 2","14 4 20 19 5 12 9 0 16 1 18 6","9 16 13 18 17 8 6 19 2 7 3 1 11 15 4","7 15 17 13 0 12 20 1 14","8 4 2 16 1 6 7 11 19 17 0 14 12","3 20 16 17 15 14 8 7 18 10 11 0 1","11 2 20 7 8 6 0 13 4 3 1 14 12 16","0 12 5 17 4 11 6 9 3 18 7","9 15 0 13 20 4 17 10 6 2 1 18 5","0 20 14 19 10 13 6 4 3 16 17 7","4 16 5 14 11 8 0 9 17 6 19 10","4 17 12 19 9 15 6 2 0 7 18 8 1 20 10","3 0 8 11 13 4 2 16 20 1 5 14 7 12 17","5 18 3 16 17 15 0 13 14 2 10 7","8 5 15 3 16 19 9 12 0 13 11 6","15 9 2 0 4 11","4 13 10 0 12 5 6 8 18 16 9 17 11 20 7","14 19 11 13 17 20 15 9 2 18 4 1 10 5","1 4 14 18 10 8 9 15 16 7","18 2 19 16 12 4 13 6 5 15 8 20 9 1","19 11 16 14 2 5 15 1 6 20 3 10","17 15 9 4 2 19 13 5 6 12","11 4 13 17 1 0 15 3 14 19 10 7 18 2","8 1 9 6 2 3 19 20 11 10 13","1 2 11 18 14 20 17 13 5 12 7","2 11 6 8 18 0 7 16 15 14","2 3 1 16 8 14 5 19 0 4 6 15 12","20 3 18 9 5 11 13 19 2 0 15 14 8 7 6","11 16 5 19 18 20 2 6 8 3 7 4","5 15 17 2 10 14 3 4 12 13","6 12 14 15 8 18 1 19 13 3 16 2 9","8 19 12 2 20 3 1 5","5 7 14 1 9 18 15 12 0","15 3 0 16 14 6 9 19 4 2 8","18 16 15 4 17 6 19 9 8","2 20 14 10 15 18 4 0","13 12 9 20 16 5 2 15"}

{"10 19 2 7 1 4 15 9 3 17 12 16 5","20 6 14 10 1 19 7 9 17 8 2 16 5 12 3 13","8 16 3 18 17 19 6 20 13 14 5 11 12 2 4 1","7 12 20 9 3 8 10 6 4 2 14 5 17 16 19","19 5 3 12 13 6 17 11 10 8 18 1 16","17 14 10 12 6 2 18 4 0 8 3 19 15 1 13 7","17 9 1 14 11 0 6 8 19 18 3 13 7 16","14 7 11 19 20 15 16 3 17 5 1 13 2 18 6 8 4 9 10 12","20 12 16 5 0 18 14 9 6 4 19 2 1","3 10 16 11 19 7 20 4 13 1 9 15 17 6 2 8 18","7 14 20 4 17 0 1 9 18 11 10 15 13 12","11 8 19 4 1 14 2 5 9 0 6 17 12 16 7","14 20 11 7 16 13 10 6 3 8 18 1 4 17 15 12 0","16 19 11 12 13 8 5 20 3 14 9 15 7 17 1 4 2 0 6","5 1 3 0 9 11 6 7 4 12 18 17 10 13","4 14 13 15 17 16 1 2 9 20 5 6 0 10 19 18","19 14 20 7 16 3 10 2 0 5 6 4 13 17","14 9 16 11 19 5 20 0 4 15 6 10 8 17","1 4 19 2 12 15 20 6 17 7 13 9 14 10 8 0 18 3","5 0 13 7 16 11 3 14 17 8 19 12 6 4 20 10 15 2 1","14 18 0 10 19 5 1 15 2 7 13 3 4 17 16","12 9 2 19 16 20 1 15 8 13 3 11 18 14 0 6 5 7","17 2 4 15 0 9 7 11 8","7 9 10 0 12 17 19 16 6 8 4 20 5 13 18 11","9 20 15 8 11 13 14 19 0 1 4 18 17 10 2 6 5","17 10 4 9 1 15 14 16 18 8 2 7","10 5 0 19 16 1 18 4 20 6 15 12 8 13 9 2 17","3 14 5 16 1 6 13 8 15 10 18 0 19 20 2 11","6 7 9 16 18 2 12 11 1 17 15 4 19 13 5 8 0","1 16 13 15 19 4 2 20 17 18 3 14 0 10 11 5 7","10 8 19 3 18 11 20 7 6 16 13 1 2 5 9","1 11 13 17 14 9 12 5 10 18 2 7 20 3","11 18 8 16 0 12 6 17 7 14 19 15 2","5 4 19 14 8 7 6 1 15 0 3 16 11 2 12","11 2 5 0 15 13 4 8 20 14 6 3 9 18 19 7","4 19 18 3 5 8 15 11 20 2 16 7 6 14","13 11 3 14 4 12 5 10 8 17 19 15 2","9 20 1 16 8 3 13 14 4 6 5 15 18 12 2 19","3 20 11 18 12 8 6 1 2 19 9 0 16 4 13 5 17","17 13 18 15 6 1 9 0 11 7 12 5 14 3","19 16 9 4 0 12 2 8 13 15 3 6 14","18 6 1 9 17 15 3 0 10 14 4 8 16 2 19 5","10 17 14 0 20 16 11 1 4 2 15 18","5 9 8 15 7 16 13 18 20 2 19 4 12 6"}

Returns: 6285
{"011111111111111111111111111111111111111111011111","101111111111111111111111111111111111111111101111","110111111111111111111111111111111111111111111111","111011111111111111111111111111111011011111111111","111101111111111111111111111111111111111111111111","111110111111111111111111111111111111111111111111","111111011111111111111111111111111111111111111111","111111101111111101111111111111111111111111111111","111111110110111111111111111111111111111111100111","111111111011111111111111111111111111111111111111","111111111101111111111111111111111111111111111111","111111110110111111111111111111111111110111111111","111111111111011111111111111111111111111111111111","111111111111101111110111111000111111111011111111","111111111111110111111111111111111111111111111010","111111111111111011111111111111111111111111111111","111111101111111100111111111111111111111111111111","111111111111111100111111111111111111111111111110","111111111111111111011111111111111111111111111111","111111111111111111101111101111111110111111111101","111111111111101111110111111111111111111111111111","111111111111111111111011110111111111110111111111","111111111111111111111101111111111111111111111111","111111111111111111111110111111111111111111111111","111111111111111111111111011111111111111111111111","111111111111111111101111101111111111111111111111","111111111111111111111011110111111111111111111111","111111111111101111111111111011111111111111111111","111111111111101111111111111101111111110111011111","111111111111101111111111111110111111111111111111","111111111111111111111111111111011111111111111111","111111111111111111111111111111101110111111111111","111111111111111111111111111111110111111011111111","111011111111111111111111111111111011111110111111","111111111111111111111111111111111101111111111111","111111111111111111101111111111101110111111111111","111011111111111111111111111111111111011111111111","111111111111111111111111111111111111101111111011","111111111110111111111011111101111111110111111111","111111111111101111111111111111110111111011111111","111111111111111111111111111111111111111101111111","111111111111111111111111111111111011111110111111","011111111111111111111111111101111111111111011111","101111110111111111111111111111111111111111101111","111111110111111111111111111111111111111111110111","111111111111110111111111111111111111101111111001","111111111111111111101111111111111111111111111001","111111111111110110111111111111111111111111111110"}

15

{"4 9 7 3 14 8 10 6 2 12 1 0","12 7 3 8 11 13 14","14 8 10 9 11 12 0 4 2","9 5 0 1 10 14","11 3 0 2 5 14 1 8 4","4 0 9 13 8","4 7 3 9 1 14 6 12 8 11 0","10 2 11 4 7 5 9 1","5 3 14 8 11 6 13 2 9","0 9 2 8 11 7 12","12 8 9 1 0 13 10 7","2 9 12 1 7 5 6","11 5 6 10 1 13 7 8 12 14 2 0","0 2 3 14 4 9 8 12","3 12 7 13 14 6 1 10 5","14 13 0 7 8","2 8 7 0 13 12 10 9 4 14","0 7 8 6 14 5 3 12 9","6 4 2 14 7 1 0","1 7 8 4 3 10 0 9 2","5 7 10 6 11 2 12 9 3 14 8 13","1 3 11 12 8 13 4 2 9","13 14 0 9 1 3 8 11 10","3 7 12 13 9 8 1 10 6","4 10 8 6 14 7 0 9","14 4 11 5 0 7 9","0 8 14 4 12 3","12 13 2 11 9 4","13 6 0 14 10 2 11","4 14 5 9 11 13 1 6 0 7 2 3","9 13 11 10 14 0 3 7 12 6 5","4 13 5 8 11 7 9","8 2 12 1 0 4 6","9 1 8 14 5 12 10 6","12 9 2 6 1 7 8 13","13 12 9 10 6 2","2 3 14 10 5 6 8 13 7","11 4 8 2 6 9 1 5 13","12 9 5 0 6 1 14 11 2","3 2 0 5 9 11 4 12","12 6 11 10 1 0 14","6 3 0 8 4 7 9 1 5","3 5 10 6 12 4 1 11 0","9 1 13 6 10 7 5","2 0 13 9 3 11","1 6 0 7 14 8 12 4 13 5 2","10 0 7 1 12 11","10 12 1 14 8 7 6"}

{"14 12 4 1 7 13 3 8 10 0 2 9 6","0 12 3 8 11 9 14 13 7 5","14 8 2 11 9 4 0 12 10","9 0 10 1 5 14","11 2 1 6 4 5 3 0 8 14","3 13 8 9 0 4 12","4 9 0 7 11 14 3 12 8 6 1","10 9 5 12 11 2 4 7 1","6 5 3 2 11 9 14 7 13 8","10 9 0 7 8 2 11 12","2 13 7 9 1 0 12 8 3 10","9 7 5 6 1 12 2 11","2 8 6 13 7 1 0 5 14 11 12 10 9","12 9 6 0 3 8 4 14 2 1 11","6 14 10 3 2 5 11 12 1 7 13 9","2 6 8 0 14 13 7 5","13 7 10 6 4 2 8 0 14 12 9","7 10 9 8 0 14 6 11 12 3 5","6 7 4 0 5 1 14 2","2 3 9 4 8 10 1 0 6 7","3 7 11 5 13 10 14 12 9 8 6 2","4 13 3 2 11 1 12 8 9","3 14 11 10 13 8 9 0 1","7 6 13 9 10 12 3 8 1","8 4 11 0 10 6 7 13 14 3 9","9 14 5 4 8 10 7 1 0 11","4 14 12 6 2 0 3 8","14 8 12 11 2 4 13 9 10","12 3 6 0 14 2 11 10 13 8","0 14 5 13 3 6 9 4 11 7 2 1","6 7 0 3 9 13 5 2 14 12 11 10","5 7 2 9 0 13 8 6 4 11 14","4 6 14 1 2 0 9 8 12","12 5 10 8 6 1 9 14","7 9 13 2 8 12 1 6","4 13 10 9 3 2 6 5 12","10 3 14 7 6 13 8 5 2","11 3 9 5 8 13 2 0 1 6 4 7","5 9 14 12 2 11 0 6 1","2 5 0 12 14 11 4 9 3","13 12 1 0 11 9 6 14 10","1 3 5 6 0 14 7 9 8 4","10 13 3 1 5 6 0 11 4 12","9 11 8 5 6 13 10 7 1","2 7 0 10 11 3 13 9 8","13 5 7 0 4 14 2 10 8 12 1 6","12 10 0 11 1 7","7 10 12 1 14 4 8 6 13"}

Returns: 7547
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23

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Returns: 9903
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39

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Returns: 12250
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29

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Returns: 13620
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29

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Returns: 14111
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27

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{"5 25 2 17 7 18 3 14 23 20 19 13","10 12 14 23 21 0 3 8 15 13 4 6 22","1 25 12 8 19 15 4 18 21 7 22 6 3 24 17","16 20 10 21 8 23 2 0 25 9 11 4 19 15","22 16 17 3 9 4 26 23 11 1 5 20 13 21 10 7 15","19 24 20 15 10 22 14 0 21 2 17 3 18 13 26 9 23","10 14 20 6 15 7 25 26 13 24 2 22 1 5","2 19 9 17 4 22 1 25 20 6 18 10 7 5 12","25 17 11 23 3 2 15 26 7 14 12 19 8 0 1","24 17 6 18 9 23 5 8 10 2","11 13 10 2 0 4 25 14 24 17 6 19","20 7 25 21 16 17 5 10 15 18 22 13 9","4 12 9 0 21 16 17 26 14 24 3","15 9 18 4 6 11 5 26 23 20 16 22","18 9 1 22 20 23 4 16 14 13 17 12 7","24 7 1 15 18 8 9 17 16 21 11 23 4 5 3","5 7 12 15 26 13 8 11 1 19 14","17 21 26 8 1 14 22 4 19 12 15 16","21 13 5 17 16 24 3","9 14 24 5 7 18 25 15 8 23 6 2 13","25 23 9 17 16 15 22 21 0 13 1 12 20 19 5","22 21 23 19 24 17 3 6 16 18 14 8","17 9 21 1 8 4 6 14 0 7 24","14 0 20 19 11 18 24 5 16 15","19 22 17 16 18 26 1 4 8 23 7","25 15 21 11 3 12 2 19 0 5 14 10","7 9 22 4 21 11 14 2 8","23 11 1 19 18 12 26 24 21","23 10 7 0 5 24 4 9 19 25 11 20 1 6","15 24 13 18 25 7 9 3 1 8 21","22 0 6 11 15 17 20 23 16 7 26 19 8","23 16 10 5 12 25 21 8 4 18 6","19 15 0 26 12 4 9 13 14 1 6 5 24","9 8 14 12 5 13 10 16 7 21 15 3","6 21 1 0 24 20 23 17 8 22 14 9","12 5 21 9 26 8 18 4 22 23 15 1 10 19 11 7 6 0","20 14 18 19 4 11 23 16 8 15 1 17 25 7 13","5 15 23 2 11 7 21 3 12 10 20 4 8 18","9 16 10 17 18 3 7 26 6","21 24 8 4 9 19 6","11 13 23 25 3 9 4 18 10 12 8 1","8 22 0 1 15 3 18 5 2 12 16 25 23","9 18 14 1 7 19 2 13 15 5","10 19 12 14 17 3 21 7 8 24 1 13","24 2 17 16 3 1 19 20 12 8","0 8 24 14 16 26 4 22 2 19","4 5 26 3 24 21 13 18","9 5 3 11 15 0 16 2 10 26 13 8 17 1","13 10 19 4 25 18 2 8 21 11 16 12","0 8 4 5 15 13 17 1 11 3 21 25"}

Returns: 14508
{"00111111111111111111111111111111111111111111111111","00111111111111111111111111111111110111111110111111","11011111111111111111111111101111101111111111111111","11101101011111101111111111111111011111111111111111","11110111111011011111111111111111111111111111111111","11111011111111111111111111111101111111111110111111","11101101111111111111111111111111111111111111111111","11111110111111111111111011111101101110111111111111","11101111011111111111111111111111110111111111111111","11111111101111111111111111111111111111111111111111","11111111110111111111111111111011111111111111111111","11110111111011111111111111111111111111111111111111","11111111111101111111111111111111111111111111111111","11111111111110111101111111111111111111111111011110","11110111111111011111111111111111001111111111111111","11101111111111101111111111101111111111111111111111","11111111111111110111111110111110111001111111111111","11111111111111111011111111111111111111011111101111","11111111111110111101111111111111111111111111111111","11111111111111111110111111111111111110111111111111","11111111111111111111011111111111011111111111111111","11111111111111111111101111111111111111111111111111","11111111111111111111110111111111111111111111111101","11111110111111111111111001111111111111111111011111","11111111111111111111111001101111111111111111111110","11111111111111110111111110111111111111111111110111","11111111111111111111111111011111111111111111111111","11011111111111101111111101101111111111111111111111","11111111111111111111111111110111111111111111111111","11111111110111111111111111111011111111111111111111","11111010111111111111111111111101111111111111111111","11111111111111110111111111111110111111111111110111","11101111111111011111011111111111011111111111110111","11011110111111011111111111111111101111111111111111","10111111011111111111111111111111110111111111111111","11111111111111110111111111111111111011111111111111","11111111111111110111111111111111111101111111111111","11111110111111111110111111111111111110111111001111","11111111111111111011111111111111111111011111111111","11111111111111111111111111111111111111101111101111","11111111111111111111111111111111111111110111100111","11111111111111111111111111111111111111111010111111","11111111111111111111111111111111111111111101111111","10111011111111111111111111111111111111111010111111","11111111111110111111111011111111111110111111011111","11111111111111111011111111111111111110100111101111","11111111111111111111111110111110011111110111110111","11111111111111111111111111111111111111111111111011","11111111111111111111110111111111111111111111111101","11111111111110111111111101111111111111111111111110"}

31

{"24 13 9 11 0 4 6 30 23 29 17 25 22","12 8 7 26 10 9 1 5 22 18","1 16 26 0 27 18 15 25 11 19 23 7","20 5 19 0 18 14 24 22 15 13 23 1 26","26 4 17 1 23 13 27 14 12 6 8","24 21 30 19 16 6 11 4 20 18 2 14 1 12","15 12 24 26 25 29 2 5 13 22 8","15 19 11 18 25 17 0 28 7 20 12 13 16 27 21","6 23 19 8 17 10 14 13 3 28 16 27","3 7 24 6 12 5","19 10 1 23 7 30 3 14 16 11 26 12 2","29 23 9 22 21 26 8 0 10 25 30 18 5 2 11","22 28 17 7 29 11 2 3 13 18 30 4 19 21 12 10 26 1","12 1 29 14 19 30 21 4 22","6 1 19 20 7 22 10 2 17 3 18","11 13 0 5 3 19 20 22 26 23 12","21 26 1 25 30 13 28 14 3 27 7 4 0 19 8 10","26 8 22 3 12 24 23 30 18 7 9 1","24 26 2 28 14 10 3 7 16 25 27 4 9 6 19","22 2 9 26 12 5 8 18 7 14 16 0","2 22 24 18 19 21 15 8 16 25 1 20 6 26 17 12 4","8 10 29 6 3 11 9 2 17 19 4","21 22 25 8 3 0 30","0 21 10 14 22 13 15 16 26","26 3 14 29 4 18 2","28 21 17 9 18 8 13 5 2 15 10 1 26 12 20","29 20 1 24 0 27 4 21 19 28 14 11 25 15","28 9 17 10 7 3 21 20 22 8 15","6 15 17 20 3 11 25 28 10 9","24 17 4 10 28 30 8 9 29 27 16 19 5 0","3 28 10 25 1 27 20 19 22 8 16 2","21 16 6 8 2 22 0 26 20 28 27 13 23","11 6 23 7 16 5 14 8 25","21 27 13 16 4 3 7","2 7 17 4 8 24 29 27 26","9 3 29 0 8 20 19 11","2 10 28 1 20 23 11 12 5 29 17","13 29 19 7 14 12 22","0 11 2 15 12 22 14 3 7","29 5 21 26 16 11 30","21 5 2 8 28 9 25 24 30 11 14 19 29 15","16 27 20 8 1 14 24 28 13 2 26 21","11 12 28 23 5 0 13 21 29","11 21 24 20 9 15 16 8 26 12","12 24 17 1 10 8 5 21 13 27 15 2","12 1 18 10 9 28 3","9 15 25 2 8 14 28 1","19 29 2 12 11 14 20 27 25 26 1 7 3 16 17 4","15 18 16 22 25 27 20 11 13","25 13 24 12 9 18 0 11 6 20 2"}

{"13 29 30 9 4 24 22 25 17 6 0 23 11","22 10 12 7 9 26 8 18 5 1","19 0 25 27 15 18 23 7 26 16 1 11","22 0 19 5 23 20 18 13 15 24 28 14 1 26","1 12 27 13 14 23 8 26 6 17 4","18 19 21 1 12 14 20 11 4 30 24 16 6 2","29 5 15 12 25 22 24 26 2 8 13 17","12 17 25 19 16 28 21 13 20 11 7 15 0 27 18","13 10 28 8 19 17 14 6 27 23 3 16","5 24 7 12 3 6","30 1 11 23 2 19 10 12 16 7 26 3 14","22 9 30 21 18 26 29 0 25 11 8 10 23 2 5","30 22 19 9 29 3 21 11 12 26 17 10 7 2 28 4 13 18 1","12 29 1 19 22 30 14 4 21","20 6 17 7 10 3 19 1 18 2 22","26 13 22 23 11 0 12 28 19 3 20 5","19 21 10 8 13 30 1 28 25 3 27 4 14 0 7 26","26 12 3 8 9 7 23 1 18 30 24 22","27 14 24 16 3 9 26 10 28 19 25 4 2 7 6","8 18 12 16 26 25 22 14 7 2 0 9 5","25 26 4 21 16 12 1 19 18 8 22 15 2 20 6 17 24","29 3 9 19 4 17 6 10 2 8 11","3 28 21 30 25 22 0 8","21 16 15 14 0 13 26 22 10","18 26 2 3 29 4 14","18 12 1 10 8 15 2 20 17 21 26 28 13 9 5","20 21 24 25 29 0 27 4 28 1 19 15 14 11","22 8 7 3 17 10 20 28 21 15 9","3 17 11 10 25 6 15 20 28 9","8 28 27 5 17 10 29 0 30 24 9 15 19 16 4","17 27 16 2 10 8 28 19 20 25 3 22 1","26 23 21 8 20 0 22 13 28 6 16 2 27","25 16 10 8 6 14 7 11 5 23","3 13 16 21 4 7 22 27","26 7 24 29 17 8 27 2 4","20 3 17 19 11 29 8 9 0","20 5 29 8 23 28 10 12 2 17 1 11","12 29 22 7 14 19 30 13","14 0 15 11 2 3 20 12 7 22","26 16 21 5 30 29 11","2 11 23 19 29 21 30 28 24 5 25 9 8 14 15","16 24 8 26 27 23 2 20 4 28 14 13 1 21","13 21 23 5 28 14 11 29 0 12","15 11 16 9 20 24 21 12 26 8","8 5 17 12 2 27 21 29 1 13 10 15 24","3 18 28 1 7 10 9 12","1 15 25 14 28 9 2 8","17 20 2 19 27 4 25 14 16 1 3 7 12 29 26 11","18 27 16 2 11 20 13 25 15 22","0 12 20 6 25 9 18 13 2 11 24"}

Returns: 16973
{"011111111111111111111111", "101111111111111111111111", "110111111111111111111111", "111011111111111111111111", "111101111111111111111111", "111110111111111111111111", "111111011111111111111111", "111111101111111111111111", "111111110111111111111111", "111111111011111111111111", "111111111101111111111111", "111111111110111111111111", "111111111111011111111111", "111111111111101111111111", "111111111111110111111111", "111111111111111011111111", "111111111111111101111111", "111111111111111110111111", "111111111111111111011111", "111111111111111111101111", "111111111111111111110111", "111111111111111111111011", "111111111111111111111101", "111111111111111111111110" }

42

{"8 3 1 9 10 23", "4 3 23", "6 5 8 1 3", "3", "3", "3", "3", "3", "", "8 3 1 9 10 23", "", "8 3 1 9 10 23", "", "", "8 3 1 9 10 23", "8 3 1 9 10 23", "8 3 1 9 10 23", "3", "8", "18", "18 8 3 1 9 10 23", "18", "3", "2 8 3 1 9 10 23" }

{"8 3 1 9 10 23", "4 3 23", "6 5 8 1 3", "3", "3", "3", "3", "3", "", "8 3 1 9 10 23", "", "8 3 1 9 10 23", "8 3 1 9 10 23", "8 3 1 9 10 23", "8 3 1 9 10 23", "8 3 1 9 10 23", "8 3 1 9 10 23", "3", "8", "18", "18 8 3 1 9 10 23", "18", "3", "2 8 3 1 9 10 23" }

Returns: 916
{"00101000001000100000010000000100000110101010010010", "00000000100000000000100010100100101000000101101000", "10000000010000000001001100000001100000000100000100", "00000110000010000100001110010000000001011000000011", "10000000000000000100000101000000010100001000000000", "00010000000011000000100010000000011001001000101000", "00010001000010001000100100011001110000001000001011", "00000010000011000001010110000000011001000100100010", "01000000000000000000010001000100110011000000010010", "00100000001101001100010000000000001100000010001000", "10000000010010000000000010000110010000100000000110", "00000000010010000010100000000010100110011000001010", "00010111001100000000100000100010000010001001010000", "00000101010000100101001001101101000100100010110000", "10000000000001010000001010100000101001100100000100", "00000000000000101000000000010010011000001010000100", "00000010010000010000000000000000000011000100100000", "00011000010001000000000110010011000000000111000000", "00000000000100000000000100000111010001001001100100", "00100001000001000000001000000000000000100001100010", "01000110000110000000010000101000011000000000000001", "10000001110000000000100000000010001000000100000000", "00110000000001100001000111000110000000010001000000", "00111011000000000110001001010000000000001000001110", "01010101001000100100001000001000100000100100011000", "00001000100001000000001100000000101000000110110010", "01000000000011100000100000000010000001001101000101", "00010010000000010100000100000101000100001000010001", "00000010000001000000100010000100000000000000000010", "11000000101001000010001000011010000111000001100101", "00000000001110010110011000100101000000001000101000", "00100010000001000110000000010010000000011010000000", "01100010100100100000000011000000000001100010010010", "00001111101000010010100000000000001000010011000100", "01000101010000110000110001000000010000000000000101", "10001000010101000000000000010100000000110101001001", "10000000100110001000000000000100000001010010000000", "00010101100000101010000000100100100010110001010000", "10000000001001100001000010000000100101000000101000", "00010000000100000000001000000001010111001000010100", "10011110000110010010000100110011000000010100110010", "01100001000000101100010011100000000100001000000100", "10000000010001010100000001000001110010000000010100", "01000000000010000111001000100100010101000000000000", "01000101000001001011000001000110000000101000000100", "10000000100011000000000011010000100001011010000001", "01000110010100000000000110000010000100100000000001", "00100000001000110010000100100100011000010110100000", "10010011101100000001000101001000100000001000000000", "00010010000000000000100000110100001100000000011000" }

10

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

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

Returns: 913
{"0001001000010001010000000000100000100000", "0001000000000000000000000000110100010000", "0000100010001000000000100000000000000000", "1100011001100000100010000010100100000000", "0010001100000000000000110000111000000000", "0001000001100010100000010000100000101001", "1001100000010000000010111000001010110000", "0000100001000000000110000000001000101000", "0010000000011001000000000000000000000000", "0001010100101001000000000000000010000110", "0001010001010000001010000000001100000101", "1000001010101000100000000100110011000100", "0010000011010000100000000101100000000000", "0000000000000000000000000001000000000010", "0000010000000000100001000010101000001000", "1000000011000000001000000001010000000000", "0001010000011010000000000000000000001001", "1000000000000000000001010000110010100000", "0000000000100001000000000010000000000010", "0000000100000000000000010010001000000000", "0001001100100000000000000000001000001110", "0000000000000010010000000000000001100001", "0010101000000000000000001000000101000001", "0000111000000000010100000000000000010100", "0000001000000000000000100000000000000100", "0000000000011000000000000000000010100011", "0001000000000010001100000000000000001000", "0000000000001101000000000000000010001000", "1101110000011010010000000000010000000000", "0100100000010001010000000000100011010110", "0000101100100010000110000000000000011010", "0101000000100000000000100000000000000100", "0000001001010000010000000101010001000000", "0000000000010000000001100000010010000001", "1000011100000000010001000100000000000110", "0100001000000000000000010000011000001000", "0000010100000010100010000011001000010000", "0000000001110000000010011000010100100010", "0000000001000100001010000100011000100100", "0000010000100000100001100100000001000000" }

10

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

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

Returns: 491
{"01111111111111111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }

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" }

Returns: 0
{"00100111011101011111110011011101001010010110011000", "00100101010001010010101000010100100100111000110111", "11011011111111000111000001001010101100010111100111", "00101000111010111110101101101011100010000100010110", "00110100111001001000101111101101100011101010001010", "11001001001100000011011111110101000101111000100001", "10100001100111011000011110101100000011011010110001", "11100110110110001110100111011000011100000001101001", "00111011000111110001101010011101001100101000001100", "11111001001101010110000100110000110010010101101110", "10111100010000101001110101111011111010010111110000", "10100111110011001001001110011001100110101101100110", "00110011100101011010100001110010100100110010000111", "11101010110110010011110111000011101010100110000000", "00010000101000000000101001100110101101010100101110", "11010010110011001111110010111001010111111101101111", "10011011001110010100010001000111011000110100111011", "10110001010000011010000011110001011010111101111010", "11110101010011010100110101111101100111001000000010", "10100100101101010000000111000100000000011011000000", "11011001101011110010010101011000001110000111111011", "10000110001001011010100100111111001010011100111100", "01011110100100100000000001101111000100001111101001", "00011111011101000011110011001011111001001001011010", "10001111100101010101000101100010001010000000000110", "10111101001011101111101110111110110111011010100011", "00011110011010110110011011001111100101010000000001", "11000101111110010110110001001100000011100011100011", "10111011101100010010111101110010101111110010001101", "11001110100000101011011001110001001110110101100110", "00110000001011101000011111101000101001011100000100", "10011100101101011110011100100100010111001001111101", "01111000011111100010000101101010001001011010010010", "00000001011000011100000101000001001011111001100100", "10100001101001101100110110001110110111001101011010", "01100101100110110010101001101101001011100010001111", "10011010011101010110110011011101011101011100001010", "00001110000000110010000101111011111110111011110100", "01001100100111011100000000011100010101011000010111", "11100110011010111101010001101110110011100111100000", "01001110100100010111011101000011111011100100110001", "10110000011101111100111000000110001010011010111100", "10101010001011000001101001011000100101010100111110", "00100001011100010101101100010101011001010000011001", "01100111011100111100111001010101010001011110010100", "11010010001000001100110100000001101001101111100010", "10001001110000111100111100001001001110000111000010", "01110000110110110000010010001111010101100110100011", "01111000010110111110100111010100101110100010011100", "01100111000010011000101001111001000100101001000100" }

50

{"4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 10 11 13 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "0 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 25 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38" }

{"4 5 9 12 17 18 19 20 21 22 23 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 25 27 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38 40 41", "4 5 9 12 17 18 19 20 21 22 24 29 31 38 40 41", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 33 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 10 11 13 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "0 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 25 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38", "4 5 9 12 17 18 19 20 21 22 24 29 31 38" }

Returns: 234
{"010", "101", "010" }

1

{"0", "", "" }

{"0", "0", "0" }

Returns: 0
{"01110", "10110", "11011", "11100", "00100" }

1

{"0", "", "", "", "" }

{"0", "0", "0", "0", "" }

Returns: 1
{"01100000", "10010000", "10010000", "01101000", "00010110", "00001001", "00001001", "00000110" }

1

{"0", "", "", "", "", "", "", "" }

{"0", "0", "0", "0", "0", "0", "0", "" }

Returns: 1
{"01111111111111111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }

50

{"0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" }

{"0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" }

Returns: 0
{"00101011101111110110", "00110111101010111010", "11010101011111100111", "01100100111011111101", "10000111011011011111", "01111011111100011111", "11001100011111111111", "11101100101101111011", "11010101001100111111", "00111110001101011011", "11111111110011101101", "10100111110011111111", "11111010001101001100", "10111011011110111100", "11110011101101010111", "11011111110101100111", "01011111111111000001", "10111110101111110011", "11101111110100110101", "00111111111100111110" }

20

{"1 3 4 5 13 14 15 16 18 19", "8 9 10 11 14 17", "1 2 3 7 8 9 10 11 12 13 16 17", "0 1 2 6 15 17", "0 1 4 5 8 11 12 13 19", "2 3 5 6 11 13 14 17 19", "0 2 4 5 8 9 10 12 13 15 16 17 18 19", "2 6 13 15 16 18", "1 2 3 4 7 10 11 12 13 14 17 18", "1 3 4 5 7 8 9 10 11 13 15 16 17 18 19", "1 2 4 6 9 15 17", "1 4 5 6 8 9 10 11 14 15 17", "0 1 4 5 9 10 12 14 16 17 19", "0 2 3 9 12 13 18 19", "2 8 9 10 12 15 16 17 18 19", "0 3 4 5 6 7 8 9 10 12 14 15 16", "1 2 4 8 9 14 16 17 18", "2 5 6 7 9 10 15 16 18", "1 2 3 5 7 8 11 12 13 15 18", "0 1 2 4 5 6 7 10 11 14 15 16 17 18 19" }

{"1 2 3 4 5 6 9 12 13 14 15 16 18 19", "2 3 4 6 7 8 9 10 11 13 14 17", "0 1 2 3 4 6 7 8 9 10 11 12 13 15 16 17 18", "0 1 2 4 6 11 13 14 15 16 17 19", "0 1 3 4 5 7 8 9 10 11 12 13 17 18 19", "0 1 2 3 5 6 7 8 9 11 13 14 15 16 17 19", "0 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19", "1 2 3 6 8 10 11 13 15 16 18", "1 2 3 4 6 7 9 10 11 12 13 14 16 17 18 19", "1 2 3 4 5 7 8 9 10 11 12 13 15 16 17 18 19", "0 1 2 3 4 5 6 7 9 10 12 13 15 17 18 19", "1 2 3 4 5 6 7 8 9 10 11 12 14 15 17", "0 1 3 4 5 7 9 10 11 12 14 15 16 17 19", "0 2 3 4 5 6 7 8 9 12 13 16 18 19", "0 2 3 4 5 6 8 9 10 12 15 16 17 18 19", "0 3 4 5 6 7 8 9 10 12 13 14 15 16", "0 1 2 4 5 7 8 9 10 11 13 14 16 17 18 19", "2 4 5 6 7 9 10 11 12 14 15 16 18", "0 1 2 3 5 7 8 9 10 11 12 13 15 16 18", "0 1 2 4 5 6 7 8 10 11 13 14 15 16 17 18 19" }

Returns: 1049
{"010000000", "101100000", "010000000", "010000000", "000000100", "000000010", "000010001", "000001001", "000000110" }

2

{"0", "", "", "", "0", "0", "", "", "" }

{"0", "0", "0", "0", "0", "0", "0", "0", "" }

Returns: 2
{"0111", "1000", "1000", "1000" }

1

{"", "", "", "" }

{"0", "0", "0", "" }

Returns: 0

Statistics

Problem Statement for "NowhereLand"

Problem Statement

Definition

Constraints

Examples