TopCoder Statistics - Problem Statement

Problem Statement

Elly and Kristina play a game called "Bulls". Initially each of them thinks of a non-negative integer with K digits, possibly containing leading zeroes. Then they take alternating turns, trying to guess the opponent's number. After each guess, the other person says how many positions were guessed correctly. For example if Kristina's number was "1337" and Elly's guess was "1738", Kristina should answer 2, since the digits at positions 0 and 2 (zero-based indices from the left) are correct. A guessed position is called "bull's hit", or simply a "bull", thus the name of the game.

Elly has already made several guesses. She wonders if the information she has is enough to uniquely determine Kristina's number.

You are given the guesses so far in a String[] guesses and the corresponding number of bull's hits in int[] bulls. If a unique number satisfies the given information, return it as a String. If there is more than one number that is valid according to the current guesses, return "Ambiguity" (quotes for clarity only). If no number satisfies the given information, then Kristina has lied and you should return "Liar" instead.

Definition

Class:: EllysBulls
Method:: getNumber
Parameters:: String[], int[]
Returns:: String
Method signature:: String getNumber(String[] guesses, int[] bulls)
(be sure your method is public)

Notes

The game "Bulls" is a simplification of a game played in Bulgaria, called "Kravi & Bikove" ("Cows & Bulls").

Constraints

guesses will contain between 1 and 50 elements, inclusive.
Each element of guesses will contain between 2 and 9 characters, inclusive.
All elements of guesses will contain the same number of characters.
All elements of guesses will consist only of digits ('0'-'9').
bulls will contain the same number of elements as guesses.
Each element of bulls will be between 0 and K-1, inclusive, where K is the length of each element of guesses.

Examples

{"1234", "4321", "1111", "2222", "3333", "4444", "5555", "6666", "7777", "8888", "9999"}

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

Returns: "1337"

From {1234->2, 2222->0, 4444->0} it follows that the number is {1?3?}. The additional information {4321->1} tells us that either the digit at position 1 (0-indexed) is 3, or that the one at position 3 is 1. However, since {1111->1} and we already know that the 0-th digit is 1, then the third digit cannot be 1. Now we know that the number is {133?}. When trying {7777->1} we see that Kristina's number contains a 7, which cannot be anywhere else except in the last position. Thus, her number is 1337.
{"0000", "1111", "2222"}

{2, 2, 2}

Returns: "Liar"

There are supposed to be two 0s, two 1s and two 2s in a four-digit number. Thus, Kristina is clearly a liar.
{"666666", "666677", "777777", "999999"}

{2, 3, 1, 0}

Returns: "Ambiguity"

Some of the possible configurations that satisfy the current results are the numbers 636172, 336617, 660007. Thus, the answer is ambiguous.
{"000", "987", "654", "321", "100", "010"}

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

Returns: "007"

The guesses, as well as the answer, can have leading zeroes.
{"28", "92", "70", "30", "67", "63", "06", "65", "11", "06", "88", "48", "09", "65", "48", "08"}

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

Returns: "54"
{"0294884", "1711527", "2362216", "7666148", "7295642", "4166623", "1166638", "2767693", "8650248", "2486509", "6138934", "4018642", "6236742", "2961643", "8407361", "2097376", "6575410", "6071777", "3569948", "2606380"}

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

Returns: "4266642"
{"00", "01", "02", "03", "04", "05", "06", "07", "08"}

{1, 1, 1, 1, 1, 1, 1, 1, 1}

Returns: "09"
{"123", "456", "789"}

{1, 1, 1}

Returns: "Ambiguity"
{"123", "456", "789", "100"}

{1, 1, 1, 1}

Returns: "Ambiguity"
{"123", "456", "789", "403", "050"}

{1, 1, 1, 0, 0}

Returns: "Ambiguity"
{"00000000", "10000001", "07000008", "02000020", "00600070", "00300300", "00050600", "00044000", "80005000"}

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

Returns: "Ambiguity"
{"00000000", "10000001", "82000000", "07300000", "00640000", "00055000", "00004600", "00000370", "00000028"}

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

Returns: "Ambiguity"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029"}

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

Returns: "Ambiguity"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "900000009", "007000009", "083000000", "100004000", "020600000", "003004000", "180000000", "000600700", "020000001", "900006000", "000400300", "007006000", "000004009", "080000009", "000000720", "000000081", "080006000", "003000001", "080000700", "107000000", "000000701", "000400300", "083000000", "007000009", "003000020", "100600000", "007400000", "000400001", "007400000", "903000000", "020000001", "007000009", "000000309", "900006000", "100000300", "100000020", "080000080", "000000029", "000000380", "000000701"}

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

Returns: "Ambiguity"
{"00000000", "11111111", "00001111", "11000000", "00010000", "22222222", "00002222", "00220000", "02000000", "33333333", "00003333", "00000033", "00000300", "44444444", "00004444", "00440000", "55555555", "00005555", "00000055", "00000005", "66666666", "00006666", "00000066", "77777777", "00007777"}

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

Returns: "Ambiguity"
{"00000000", "11111111", "00001111", "00110000", "00010000", "22222222", "00020222", "00222000", "00022000", "33333333", "00033333", "03333000", "00333000", "44444444", "04044044", "04044004", "55555555", "05055555", "05055055", "66666666", "06066666", "77777777", "07777777"}

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

Returns: "Ambiguity"
{"000000000"}

{0}

Returns: "Ambiguity"
{"000000000"}

{1}

Returns: "Ambiguity"
{"000000000"}

{4}

Returns: "Ambiguity"
{"000000000", "100000001", "020000020", "003000300", "000404000", "000050000", "000606000", "007000700", "080000080", "900000009"}

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

Returns: "Ambiguity"
{"000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888"}

{4, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: "Ambiguity"
{"000000000", "010101010", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888"}

{4, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: "909090909"
{"00000000", "11111111", "00001111", "11000000", "00010000", "22222222", "00002222", "00220000", "02000000", "33333333", "00003333", "00000033", "00000300", "44444444", "00004444", "00440000", "55555555", "00005555", "00000055", "00000005", "66666666", "00006666", "00000066", "77777777", "00007777", "88888888"}

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

Returns: "42179356"
{"000000000", "111111111", "000001111", "000110000", "001000000", "222222222", "000002222", "000000022", "000000002", "333333333", "000003333", "000000033", "000000300", "444444444", "000004444", "000000044", "555555555", "000005555", "005550000", "050000000", "666666666", "000006666", "000006000", "777777777", "000770000", "077000000", "007000000", "888888888", "000080000"}

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

Returns: "571983624"
{"00000000", "11111111", "00001111", "00110000", "00010000", "22222222", "00020222", "00222000", "00022000", "33333333", "00033333", "03333000", "00333000", "44444444", "04044044", "04044004", "55555555", "05055555", "05055055", "66666666", "06066666", "77777777", "07777777", "88888888"}

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

Returns: "83712546"
{"000000000", "111111111", "000001111", "000110000", "000010000", "222222222", "000022222", "002220000", "020020000", "333333333", "030030333", "030333000", "030033000", "444444444", "040440444", "040444000", "044440000", "555555555", "550550055", "550550005", "666666666", "660660666", "660666006", "777777777", "770777077", "888888888", "880888888"}

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

Returns: "429316875"
{"42155355", "42166356", "02104344", "42144344", "00102222", "02100033", "42177356", "11000000", "42106356", "42100305", "02100300", "11111111", "42178356", "00120000", "42107356", "02103333", "02140300", "22122222", "00001111", "42100356", "42100355", "00000000", "02100000", "42105355", "00010000", "32133333"}

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

Returns: "42179356"
{"001000000", "001000022", "571003624", "001002222", "001003323", "000000000", "221222222", "501773624", "501003624", "000110000", "571773624", "501003024", "571883624", "001000320", "111111111", "000001111", "441443424", "001003524", "001553024", "571083624", "051003024", "501003624", "001003024", "331333323", "561663624", "001000023", "551553524", "001003424", "001000002"}

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

Returns: "571983624"
{"11111111", "83712546", "03012004", "33312333", "43412444", "00212000", "03012546", "00110000", "03312000", "03012045", "53512545", "63612546", "00012333", "22212222", "03012545", "03012044", "03712546", "00010000", "00010222", "00001111", "73712546", "00000000", "00012000", "00312000"}

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

Returns: "93712546"
{"000000000", "111111111", "420316005", "002210000", "420316075", "420310665", "425315555", "020310444", "000110000", "000010000", "020010000", "020010333", "427316775", "424314444", "000001111", "420310005", "000012222", "420316875", "020314000", "420310055", "428316875", "024310000", "020013000", "323313333", "020313000", "222212222", "426316665"}

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

Returns: "428316975"
{"123", "456", "789", "100", "159"}

{1, 1, 1, 1, 1}

Returns: "186"
{"123", "456", "789", "403", "050", "186"}

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

Returns: "726"
{"00000000", "10000001", "07000008", "02000020", "00600070", "00300300", "00050600", "00044000", "80005000", "87654321"}

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

Returns: "12345678"
{"00000000", "10000001", "82000000", "07300000", "00640000", "00055000", "00004600", "00000370", "00000028", "12345678"}

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

Returns: "87654321"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "111111110"}

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

Returns: "123456789"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "111111110"}

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

Returns: "987654321"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "000404000", "000004080", "007000009", "000000309", "003000001", "000006001", "000000720", "007000080", "003000300", "900000080", "100000001", "100000001", "000006020", "007006000", "000006020", "000600009", "080006000", "020000001", "027000000", "000006300", "083000000", "000004009", "027000000", "000600080", "020004000", "020000300", "080006000", "080000700", "180000000", "007006000", "100004000", "020000300", "100000300", "900000080", "007400000", "000004700", "000000081", "000000309", "007000009", "111666999"}

{0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3}

Returns: "123456789"
{"589582895", "514642133", "298664252", "533445988", "376922971", "772784227", "255167742", "772499861", "433712385", "433738482", "663793867", "561345874", "696735512", "548993457", "261645127", "369849731", "268333812", "663972324", "788414249", "336125157", "874912264", "324613286", "844217528", "541567799", "216254761", "675948468", "172374529", "969364686", "936418357", "811295514", "469963427", "411294125", "363943987", "312725139", "731872873", "284793527", "652931634", "637869245", "185876849", "814265861", "764154284", "284467594", "153615162", "285372396", "165798751", "513733729", "113574899", "763168337", "788954787", "544377447"}

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: "000000000"
{"0000", "1000", "2000"}

{0, 1, 1}

Returns: "Liar"
{"00", "01", "02", "03", "04", "05", "06", "07", "08", "09"}

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

Returns: "Liar"
{"000", "111", "012", "210"}

{1, 1, 1, 1}

Returns: "Liar"
{"000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999"}

{8, 8, 8, 8, 8, 8, 8, 8, 8, 8}

Returns: "Liar"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "000000701", "083000000", "083000000", "080000700", "000004080", "020004000", "000004700", "020000300", "900000700", "000000309", "027000000", "920000000", "900006000", "003000020", "000600009", "003000001", "020004000", "000400300", "007000700", "100000020", "000400020", "100000001", "000600700", "020000300", "020000001", "007000700", "000000029", "100000020", "000000720", "000606000", "027000000", "080000700", "080400000", "920000000", "180000000", "007400000", "900000080", "000600009", "000600080", "000006001"}

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

Returns: "Liar"
{"000000000", "555555555", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "123456789", "987654321"}

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

Returns: "Liar"
{"458812", "498245", "998386"}

{1, 2, 1}

Returns: "Ambiguity"
{"6238", "6275", "8278", "2089", "8205", "2767", "7816", "9589", "0072", "5214", "6468", "8355", "5584", "5472", "4990", "0350", "6783", "4419", "5747", "4088", "5232", "6662", "0493", "1995", "5605", "4634", "0539", "2881", "6024", "0221", "4442", "0421", "7795", "4034", "2298", "2785", "3944"}

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

Returns: "Liar"
{"566072726", "713216383", "860126054", "793478816", "876172378", "858733108", "092491573", "422012770", "410373959"}

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

Returns: "Liar"
{"2867", "8183", "3620", "8418", "7581", "0488", "3678", "5556", "3008", "2306", "0972"}

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

Returns: "Liar"
{"94", "82", "25"}

{0, 1, 0}

Returns: "Ambiguity"
{"39", "19", "28", "14", "10", "07", "08", "40", "95", "82", "21", "40", "59", "51", "09", "91", "33", "76", "02", "98", "99", "20", "78", "30", "64", "19", "60", "36", "21", "32", "05", "96", "82", "40", "60", "29", "85", "56", "88", "87", "79", "58", "39", "53", "23", "48", "13", "81"}

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

Returns: "Liar"
{"77", "64", "92", "31", "97", "26", "76", "53", "07", "53", "88", "01", "50", "90", "35", "27", "67", "20", "17", "91", "17", "66", "92", "65", "40", "78", "11", "57", "21", "11", "74", "56", "98", "32", "38", "27", "68", "11", "53", "31", "34", "31", "90", "52", "12", "17", "15"}

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

Returns: "Liar"
{"05", "83", "88", "16", "70", "98", "49", "75", "48", "87", "09", "69", "01", "55", "01", "74", "70", "41", "18", "57", "47", "82", "02", "88", "97", "34", "13", "12", "53", "45", "14", "26", "33", "08", "38", "69", "01", "93", "36", "54"}

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

Returns: "Liar"
{"65518", "62250", "25206", "28006", "30643", "05207", "61818", "65926", "23212", "88874", "05995", "09951", "12339", "23304", "43924", "05747", "63090", "01510", "95896", "57638", "93025", "57794", "78578", "42384", "30417", "21313", "51505", "22155", "89284", "75840", "44358"}

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

Returns: "Liar"
{"3340675", "6098357", "0487402", "5416645", "9124993", "6587897", "1650132", "0574490", "1190421", "7093331", "5695988", "9513628", "1981334", "9272176", "7306025", "0720954", "2560881", "7579237", "7936381", "6876512", "5615413", "5092133", "2904857", "3030321", "0818728", "2302825", "8124988", "7179503", "0153423", "9492490", "4985323"}

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

Returns: "Liar"
{"19883", "93328", "40201", "10766", "05889", "73222", "02316", "77287", "59291", "08192", "24758", "00716", "30373", "43231", "27713", "70363", "95615", "09730", "15171", "94980", "18508", "28085", "47361", "80865", "10283", "56149", "83233", "30148", "89897", "19589", "93314", "45763", "63834", "78901", "07349", "56898", "97084", "69362", "06516", "97350", "65182", "24522", "86983", "50581", "07341", "64170", "06105", "25832"}

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

Returns: "Liar"
{"27297631", "98954952", "22308728", "75418296", "98163754", "01228546"}

{3, 3, 3, 6, 5, 1}

Returns: "Liar"
{"44918", "87971", "43529", "55679", "23198", "84443", "80294", "83504", "52577", "44041", "54028", "81476", "98738", "28098", "49682", "47940", "48182", "14669", "81364", "22010", "87331", "56121", "18047", "41198", "03250", "22633", "15821", "39721", "20927", "50329", "80114", "43996", "62096", "30351", "67927", "68246", "09187", "84037", "62273", "73073", "46740", "24463", "50201", "93791"}

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

Returns: "Liar"
{"41", "46", "87", "34", "67", "81", "12", "11", "08", "10", "77", "51", "78", "93", "39", "37", "20", "17", "67", "75", "81", "52", "75", "10", "05", "07", "64", "14", "08", "97", "99", "06", "80", "69", "20"}

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

Returns: "Liar"
{"69189118", "35091082", "68977893", "56397743", "83336104", "42715722", "03609896", "02903224", "74531334", "52169884", "45730277", "02008645", "15732791", "40331583", "51025104", "64895622", "17478600", "13924154", "66813310", "89389843", "96977252", "28338578", "13512086", "53953548", "03508435", "12602216", "01773835", "32194230", "48661387", "44354427", "56690709", "67320153", "65468158", "33287696"}

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

Returns: "Liar"
{"21058700", "73462011", "53495343", "70915400", "12377333", "15888024", "33676614", "16596871", "16763712", "94718248", "16204859", "44994532", "74319073", "42698774", "78321937", "44351328", "90349443", "85381238", "85106181", "77282366", "65138076", "60310431", "89545744", "77526889", "98050296", "22926736", "52171153", "66815869", "66288168", "89790582", "97175164", "99615560", "50795685", "70752304", "85800977", "47592322", "19730437", "08812749", "93620720", "53577443", "86445924", "24253234", "23720776", "75679085"}

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

Returns: "Liar"
{"565882", "527673", "569445", "692956", "783726", "100456", "646763", "147500", "588698", "560604", "864034", "004361", "568676", "894510", "867077", "622965", "406962", "126470", "241003", "179802", "897477", "391296", "149869", "482582", "619371", "206899", "911348", "491439", "952167", "518075", "429184", "812846", "315854", "664614", "466758", "151190", "634457", "656296", "321634", "056506", "332660", "200520", "610494"}

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

Returns: "Liar"
{"6407", "6685", "0021", "8435", "8705", "5630", "9937"}

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

Returns: "Liar"
{"302", "118", "374", "719", "612", "257", "842", "650", "607", "444", "506", "263", "755", "489", "812", "792", "829", "990", "642", "351", "784", "198", "969", "647", "486", "149", "873", "577", "133", "965"}

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

Returns: "Liar"
{"2498", "4261", "6105", "4870", "1728", "1191", "3232", "8187", "6264", "4370", "4373", "0568", "6812", "6243", "2051", "5801", "8284", "7238", "1622", "3856", "8935", "6957", "0025", "3037", "1525", "5355", "6685", "1026", "9625", "8661", "7125"}

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

Returns: "Liar"
{"270049", "810017", "569506", "236752", "666786", "558004", "228650", "993871", "199852", "107388", "969311", "124680", "950468", "733173", "342773", "655360", "563329", "635514", "179965", "237097", "956993", "818961", "453464", "521754", "385231", "200085", "887108", "322270", "474344", "605537", "190888", "916786", "980546", "640188", "946409", "912439", "776679", "945469", "682675", "682435"}

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

Returns: "Liar"
{"64", "24", "96", "22", "65", "95", "44", "49", "13", "73", "05", "51", "85"}

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

Returns: "Liar"
{"89", "73", "42", "76", "02", "39", "22", "94", "48", "63", "28", "37", "37", "91", "91", "62", "22", "61", "59", "26", "90", "40", "63", "41", "84", "73", "43", "51", "49", "06", "54", "91", "23", "22", "17", "09", "89", "01", "06", "45", "08", "05"}

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

Returns: "Liar"
{"9325", "3572", "5489", "8688", "5994", "9987", "3130", "6340", "3766", "5207", "6879", "8085", "2429", "0150", "4005", "4775", "8359", "8960", "0191", "0143", "7969", "7554", "4209"}

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

Returns: "Liar"
{"770", "312", "424", "035"}

{1, 0, 0, 1}

Returns: "Ambiguity"
{"14965", "87840", "90582", "29698", "95701", "07656", "28558", "01945", "77183", "33835", "61194", "91926", "70938", "30868", "06853", "86056", "89605", "91754", "84117", "25688", "53437", "60610"}

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

Returns: "Liar"
{"953711", "316914", "708649", "013119", "959356", "439545", "037224", "058030", "540884", "177809", "002045", "216846", "628852", "692160", "600558", "439636", "411554", "924057", "044755", "184465", "049958", "548602", "273159", "989740", "472088", "023913", "933125", "206177"}

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

Returns: "Liar"
{"1226105", "3312572", "7122809", "9314143", "4873282", "9850835", "5837160", "0531420", "5904260", "2423850", "3297374", "8880973", "7612428", "3983510", "6254853", "7080469", "8522217"}

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

Returns: "Liar"
{"929", "950", "252", "161", "221", "355", "080", "644", "092", "140", "151", "308", "564", "452", "150", "172", "730", "844", "505", "240", "019", "370", "608", "791", "269", "959", "114", "513", "843", "401"}

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

Returns: "Liar"
{"750958", "270967", "848513", "147246", "814866", "097993", "140762", "862389", "737641", "032023", "375207", "086894"}

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

Returns: "Liar"
{"300", "072", "731", "918", "838", "847", "126", "083", "192", "113", "110", "124", "505", "308", "072", "059", "911", "379", "744", "214", "271", "258", "846", "585", "721", "723", "279", "528", "573", "979", "038", "861", "691", "929"}

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: "Liar"
{"28617314", "75981552", "67379472", "93742196", "99462773"}

{1, 2, 2, 1, 0}

Returns: "Ambiguity"
{"7126", "3742", "5641", "3232", "2979", "9429", "2531", "0475", "0882", "5441", "7591", "9060", "3118", "0316", "4152", "0430", "9563", "2850", "5642", "5561", "6030", "4370", "2522", "4285", "2722", "3910", "5445", "9269", "3568", "9569"}

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

Returns: "Liar"
{"07878183", "51725158", "40815335"}

{1, 1, 2}

Returns: "Ambiguity"
{"992441692", "852012829", "688785459", "006187171", "779360344", "659803864", "143120748", "939715732", "597937501", "846213907", "809209420", "646136458", "744167540", "332239893", "755295897", "410382732", "560729664", "759607615", "257841925", "930226092", "165474921", "716431755", "290839924", "255362841", "669143468", "384746466", "806116905", "111583490", "193874707", "392698951", "007126943", "222333102", "099265663", "888835137", "740619462", "301358374", "123908286", "781651405"}

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

Returns: "Liar"
{"53948", "38807", "33208", "46977", "92556", "64506", "53668", "34915", "44396", "47634", "19596", "18360", "90946", "36136", "07527", "53316", "58387", "14357", "17865", "69911", "95304", "32895", "08185", "04743", "25402", "94638", "91932", "60880", "12495", "29829", "06742"}

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

Returns: "Liar"
{"361", "412", "260", "895", "074"}

{0, 0, 0, 0, 0}

Returns: "Ambiguity"
{"53582", "68317", "72508", "30619", "17403", "08308", "43426", "65482", "98214", "62420", "66271", "97251", "08984", "66710", "83312", "31545", "44734", "21407", "97031", "61083", "13214", "62492", "19009", "25171", "16530", "42436", "59376", "91058", "90548", "48387", "02501", "24624", "54949", "96913", "62339", "57099", "17934", "55349", "54813", "37151", "02501", "73431", "87905"}

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

Returns: "Liar"
{"20", "47", "01", "31", "88", "35", "28", "45", "06", "45", "85", "87"}

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

Returns: "Ambiguity"
{"94310", "46081", "74454", "90794", "05649", "55121", "33219", "93550", "17316", "04682", "68196", "98753", "05413", "73784", "80416", "83721", "71211", "13560", "53085", "22679", "96121", "08005", "81243", "20041", "65397", "89408", "75603", "09493", "47861", "73970", "44658", "78752", "77694", "31149", "50239", "98813"}

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

Returns: "Liar"
{"954874", "983852", "531673", "522150", "628367", "537788", "035893", "709335", "364940", "978652", "353791", "509365", "961991", "594750", "203885", "403779", "906876", "091798", "904052", "807493", "011471"}

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

Returns: "Liar"
{"38", "10", "53", "94", "70", "23", "12", "75", "85", "16", "84", "75", "55", "24", "04", "54", "24", "90", "24", "70", "71", "85", "57", "37", "92"}

{0, 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: "Ambiguity"
{"50408", "44335", "20504", "26881", "62389", "15681", "71992", "41280", "46003", "85454", "80989", "09849", "08073", "25070", "79006", "15129", "06363", "76633", "48171", "06713", "81791", "01830", "46732", "48279", "65464", "98760", "35568", "82465", "39489", "01559", "75090", "41329", "63995", "10769", "24693", "34180", "68957", "38214", "40911", "55543", "97791", "98479", "59947"}

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

Returns: "Liar"
{"49", "23", "71", "81", "48", "88", "44", "01", "10", "05", "10", "70", "25", "24", "98", "66", "04", "66", "31", "62", "16", "77", "05", "70", "37", "15", "78", "41"}

{0, 0, 0, 0, 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: "Liar"
{"8082106", "8549415", "0858115", "6291705", "2768279", "8183793", "8309569", "8981736", "6326087", "4818138", "8951966", "5528162", "8805099", "3365383", "2665914", "8744272", "2098162", "7483984", "8687587", "7173709", "9220161", "5964672", "8692884", "0799841", "5673208", "9313610", "5222042", "1833496", "3226522", "5623857", "1100037"}

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

Returns: "Liar"
{"887152", "166421", "728282", "079418", "107895", "841647", "793044", "507496", "755850", "170218", "266081", "828088", "280373", "432545", "884018", "976224", "742142", "470316", "772537", "913824", "222741", "817321", "915789", "737874", "521999", "260251", "010984", "509524", "001687", "702776", "596055", "543363", "627967", "085073", "625170", "725454", "067578", "169223", "211647", "682371", "970790", "077969", "182173", "693164", "851103", "969689", "484268", "331606"}

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

Returns: "Liar"
{"3366", "4860", "6987", "4978", "1103", "9703", "7052", "9015", "6739", "8596", "0362"}

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

Returns: "Ambiguity"
{"759975227", "355265270", "557773655", "135306173", "434648525", "630447246", "666331655", "889147045", "547529802", "525899863", "013868825", "714209817", "565335635", "701037313", "960219888", "509037252", "577901144", "956476800", "867833826", "856706113", "501388679", "060146428", "268792938", "066886733", "150403444", "491371238", "415026607", "720085991", "569393475", "526724882", "077166674", "751339629", "706373005", "112220518", "127550120", "720973062", "929333466", "402253957", "946342056"}

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

Returns: "Liar"
{"18275602", "27636864", "30869882", "63260628", "62613487", "51571748", "46415645", "50492177"}

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

Returns: "Ambiguity"
{"35217", "61569", "18047", "73574", "58431", "38010", "39237", "93703", "13304", "83870", "42864", "67577", "50058", "82876", "58010", "29386", "73608", "60993", "80755", "60950", "45560", "90377", "53464", "51515", "81305", "50975", "93483", "60796", "57360", "39930", "18388", "08360", "51596", "69449", "78152", "07544", "32077"}

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

Returns: "Liar"
{"60", "41", "86", "69", "62", "21", "50"}

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

Returns: "Ambiguity"
{"782143807", "799006081", "604873597", "648653318", "397317525", "215038753", "490853375", "502813631", "609772892", "898602577", "422645483", "150788742", "819802024", "570700543", "408250381", "730477095", "750893849", "650830226", "141052334", "842687173", "201556713", "273634756", "282416854", "481103589", "092830145", "154687493", "628366655", "319897226", "159478995", "227184109", "578455975", "319446612", "810453282", "172791805", "001858147", "120175913", "932159745", "274555985"}

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

Returns: "Liar"
{"9972893", "1168986", "1311967", "1558910", "4836331", "2393060", "2643129"}

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

Returns: "Ambiguity"
{"9249", "6552", "6550", "8684", "6655", "9686", "8592", "8936", "1041", "7912", "5390", "8575", "0865", "2585", "0136", "7346", "5786", "4439", "2377", "7079", "8024", "8489", "2109", "3361", "4823", "7753", "6516", "4230", "6948", "2653", "4181", "3336", "5327"}

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

Returns: "Liar"
{"6441520", "7553125", "8860633", "3044544", "5072978", "8996546", "7210155", "7687384"}

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

Returns: "Ambiguity"
{"013570177", "419100638", "025156841", "386782824", "698701626", "452984165", "903855242", "503424180", "112360159", "473968544", "981222727", "283381069", "974619589", "197934503", "428472762", "089137354", "541423463", "135668110", "371129694", "017975158", "045905110", "975622964", "409363125", "788607949", "492987328", "708447346", "122409553", "217084376", "936504023", "566766064", "459869629", "206943629", "516737831", "252016173", "517336665", "474726198", "176825017", "674659514", "706818495", "810241563", "893050105", "866938310", "006050503", "086761944", "363457079"}

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

Returns: "Liar"
{"426001", "808212", "649305", "989268", "903293", "530998", "468668", "025691", "179931", "748425", "693221", "784859", "817598", "677855", "007642", "690339", "591070", "234716", "688245", "302286", "104451", "289199", "447868", "394095", "780887", "590903", "267991", "329790", "343351", "155764", "462050"}

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

Returns: "Liar"
{"417779", "643283", "611113", "693003", "113208", "893075", "107187", "859993", "469331", "458205", "250909", "142103", "696848", "107602", "635821", "031947", "973602", "308676", "610765", "724333", "920683", "955027", "127707", "731738", "882277", "368411", "229277", "113102", "843492", "578571", "476062", "512844", "388591", "799756", "871509", "632048", "830447"}

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

Returns: "Liar"
{"5740", "3098", "6535"}

{1, 0, 1}

Returns: "Ambiguity"
{"2431", "2168", "1540", "2086", "4869", "4247", "5436", "3508", "4569", "0063", "2009", "2869", "0932", "4000", "2061", "3415", "2479", "8160", "7880", "2464", "2030"}

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

Returns: "2069"
{"32929", "58452", "34747", "81970", "88090", "26180", "55362", "91876", "10290", "48302", "45389", "47024", "33787", "30275", "07507", "30529", "84316", "40066", "85807", "55580", "15576", "08715", "81165", "13849"}

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

Returns: "Ambiguity"
{"413928", "078595", "811622", "018939", "712067", "209449", "846609", "749660", "363111", "889595", "559454", "141659", "647997", "787297", "763875", "482825", "385146"}

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

Returns: "Ambiguity"
{"486809812", "033726199", "716564813", "276844859", "864475013", "276844453", "652022461", "296204853", "603572773", "276344853", "618243233", "557423434", "318956562", "816984833", "201044803", "211938908", "506844453", "456541853", "546444803", "179614189", "276654553", "269844883", "197454272", "272549111", "023097180", "772824158", "376844853", "276864858", "636874353", "266884898", "276844803", "276874853", "246844857", "276424617", "238344820", "276841853", "475862855", "554030364", "946261043", "090048612", "390412541", "342017154", "270791065", "285578556", "515746653", "722142813", "776850107", "156318858", "211840889"}

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

Returns: "276844853"
{"69345052", "91008789", "43681433", "93481403", "13077521", "93981755", "93887703", "12400874", "94439776", "93960702", "63982131", "84831287", "93281753", "59363734", "93605483", "07023307", "93985196", "45707942", "14523082", "91961703", "03983703", "93641795", "93854704", "93921708", "24927976", "13483957", "95906663", "85583480", "52424767"}

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

Returns: "93981703"
{"00573840", "01824988", "20553524", "05843617", "02419030", "01843494", "41341094", "00842218", "80299398", "91821423", "93700216", "13151086", "64340471", "09228043", "13795550", "47528440", "37225588", "02246076", "10718172", "95249002", "54970078", "07624252", "97855772", "75021682", "53050870", "46291032", "48384865", "18309911", "00647014", "77481644", "13249098", "08719113"}

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

Returns: "00821072"
{"431262368", "638962936", "821504280", "536966368", "830132368", "038792796", "941271755", "586211244", "635915368", "380999068", "936989768", "767879585", "114943257", "831961176", "032966824", "734946095", "989294086", "014992368", "714366368", "094295464", "567549856", "836160143", "239562468", "833962762", "814960449", "473628348", "889457760", "566962008", "737967781", "124838972", "299808454", "631222306", "147261768", "876306625", "953067723", "138956368"}

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

Returns: "834962368"
{"73", "54", "52", "49", "55", "58", "52", "33", "56", "27", "57"}

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

Returns: "Ambiguity"
{"19404", "25605", "50016", "92473", "77040", "00934", "26742", "25625", "52417", "17195", "14705", "20278", "50094", "22113", "11247", "91722"}

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

Returns: "Ambiguity"
{"169990", "344783", "384182", "374904", "675775", "370334", "818188", "395737", "243139", "279843", "350093", "670032", "457265", "928034", "109195", "781624", "342312", "535439", "989856", "338673", "445192", "733542", "315735", "575034", "075861", "188892", "787862", "788836", "565932", "332432", "042300", "861115", "366697"}

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

Returns: "375832"
{"8630", "7340", "4632", "2117", "9723", "5424", "0210", "4593", "5505", "5611", "7001", "1851", "0501", "2502", "0521", "0720", "8569", "1991", "2731", "6034", "6276", "9419", "6200", "8963", "3875", "5577", "2721", "2923", "6599", "9489", "2594", "1379", "9860", "2373", "9870", "5941", "2259", "9575", "3003", "2025", "8055", "0061", "0592", "7370", "7042"}

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

Returns: "5090"
{"277410", "777586", "247809", "458549", "332799", "254694", "727686", "214518", "204716", "482786", "859270", "552216", "057481", "992888", "977764", "244266", "754202", "934829", "123158", "552115", "654789", "364026", "677306", "208282", "250233", "950299", "628282", "291883", "076789", "457295", "657766", "747916", "615196", "999146", "354237", "852900", "759296", "757278", "281086", "045085", "706216", "627732", "242955", "941827", "458386", "638777", "554268", "206963"}

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

Returns: "257286"
{"471", "510", "296", "799", "557", "775", "924", "957", "655", "374", "457", "653", "938", "562", "637", "319", "025", "659", "444", "478", "794", "618", "328", "943", "913", "867", "634", "790", "648", "960", "824", "282", "328", "675", "174", "727"}

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

Returns: "758"
{"378792274", "388543419", "758731394", "478466883", "354795144", "523783783", "378648189", "308925511", "378273784", "672375744", "344773287", "997932719", "958704229", "456373932", "781484553", "412045755", "748073744", "378124884", "362861040", "371623485", "374573585", "378773272", "178384784", "256164986", "964959190", "996308278", "312777787", "338771088", "378748684", "377070784", "978573784", "120677168", "678144888"}

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

Returns: "378773784"
{"8310602", "8413363", "0755528", "4137677", "3330572", "5759054", "4974668", "1795692", "3945645", "0316973", "1469140", "5111375", "5376341", "4796022"}

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

Returns: "4396672"
{"965342", "990401"}

{1, 1}

Returns: "Ambiguity"
{"2959594", "5231410", "1867869", "1167819", "5995316", "1867811", "1860839", "1868819", "1837819", "2973704", "8387679"}

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

Returns: "1867819"
{"15097", "49567", "02767", "49267", "48129", "89509", "53655", "03069", "49367", "45057", "60469", "73266", "44431", "12137", "08645", "63717", "15889", "48160", "15282", "12234", "48247", "96672", "10434", "46116", "93563"}

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

Returns: "48067"
{"05285091", "23111418", "33055055", "99463408", "10183534", "76974773", "98845853", "05668899", "72911098", "05441597", "14804575", "78078488", "76119311", "67840093", "08265926", "53283038", "88630557", "57106227", "65192060", "18938959", "28405835", "75413301", "98134493"}

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

Returns: "Ambiguity"
{"606207", "534863", "246217", "796411", "353408", "636015", "871158", "319257", "685414", "467896", "727506", "822363", "073413", "978422", "072010", "579411", "705573", "085787", "930247", "650405", "563845", "980399", "903488", "941269", "685717", "192375", "575404", "765872", "363121"}

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

Returns: "965417"
{"58484081", "01069077", "52903740", "83315314", "44132426", "65818585", "86957292", "30390725", "05135525"}

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

Returns: "Ambiguity"
{"37", "92", "63", "51", "98", "59"}

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

Returns: "69"
{"6799", "3885", "8327", "3137", "9781", "7294", "3397", "4737", "6402", "6709", "3387", "1397", "4530", "8392", "3038", "4237", "2392", "3336", "8081", "6638", "6357", "8937", "4537", "3347", "3857", "5339", "3332", "8387", "8675", "3950", "9330", "9217", "3331", "9080", "6347", "3335", "5681", "3374", "3037", "6330", "3647", "6346"}

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

Returns: "3337"
{"31405", "44267", "13882", "26625", "07049", "68501", "91633", "19476", "93576", "04535"}

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

Returns: "94475"
{"580763900", "763921852", "384319702", "940679788", "087573233", "721389363", "300896049", "345319870", "198502806", "439046400", "457807472", "280263561", "749665017", "539404964", "964991399", "644439940", "922747367", "959462933", "288413041", "229236665", "522263083", "926687915", "276465562", "730216895", "529640134", "384286141", "863081228", "852279602", "739523899", "117619911", "085109364", "549071168", "450639301", "714183014", "517917494", "719830325", "506064848", "747691704", "209980624", "075457380", "469368989", "170920105", "900321127", "037687521"}

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

Returns: "593287869"
{"655063096", "617213976", "389044523", "744118674", "018866066", "615723769", "677756478", "061325306", "600913140", "615213176", "011213476", "615543446", "406835972", "279497033", "946579449", "715523675", "911213471", "615213172", "754646780", "615332473", "117283076", "616213476", "210251866", "875002748", "806737513", "602213672", "316237872", "262000871", "690813477", "616243672", "615723496"}

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

Returns: "615213476"
{"035515", "130226", "024831", "275375", "184983", "595236", "291926", "020937", "295255", "112677", "395760", "275316", "595816", "593646", "215016", "695796", "081286", "346492", "430561", "245244", "296915", "196206", "905849", "416836", "716036", "275210", "110246", "804296", "644103", "223416", "835589", "275116", "827756", "305819", "578560", "529602", "309459", "495611", "393266", "653389", "995218", "613537", "495129", "904651", "256289", "144006", "160144", "635210"}

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

Returns: "295216"
{"284191", "225885", "523057", "702271", "516202", "246981", "549176", "933931", "227578", "203277", "893238", "427408", "033588", "773537", "060911", "999049", "229820", "943683", "957214", "488698", "128352", "541455", "253277", "045274", "293224", "263868", "017039", "401866", "135193", "489888", "263385", "084119", "327218", "685738", "857650", "104276", "483221", "165089", "850298", "992992", "760171"}

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

Returns: "223288"
{"163557", "670599", "988696", "959494", "940395", "160582", "367539"}

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

Returns: "960599"
{"5435", "5257", "5128", "6935", "1846", "5919", "4338", "2915", "8349", "2861", "3642", "6724", "5404", "8415", "7571"}

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

Returns: "Ambiguity"
{"02642813", "47651066", "36496532", "63332647", "63672766", "52132467", "86885784", "80314871", "76737209", "35483821", "14725705", "23124469", "22202366", "08639899", "08622476", "96429285", "61216722", "19835060"}

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

Returns: "00332866"
{"311121122", "090381821", "642517876", "657959762", "190882388", "006173498", "602570167", "876039279"}

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

Returns: "Ambiguity"
{"60443263", "92200517", "14291929", "54310352", "09416508", "14226953", "38147510", "91714010", "54202493", "23066348", "91283216", "82087150", "21412347", "00036731", "37371589", "12128675", "43719485", "98130429", "82240151", "64160191", "35041523", "72547638", "47766947", "49279132", "09635797", "32487622", "21311589", "35631844", "14313167", "97109514", "02262564", "07883521", "36418319"}

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

Returns: "32009439"
{"385679", "713185", "844933", "814600", "761935", "246813", "526606", "942612", "918766", "588962", "505143", "984571", "378797", "886053", "698543"}

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

Returns: "Ambiguity"
{"3926", "4896", "8146", "6386", "3610", "0739", "3384", "1817", "6991", "3039", "4925", "6088", "3412", "0315", "5263", "3082", "4644", "7144", "0287", "3488", "6586", "3988", "3540", "3206", "3916", "5485", "2482", "3906"}

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

Returns: "3686"
{"151450145", "028105369", "727543749", "633454051", "227048819", "405745683", "498540919", "624544189", "293596279", "468437188", "658345302", "418616781", "417098722", "129285935", "582587389", "133214840", "482848637", "426849179", "728511849", "676412415", "819304147", "625337601", "422565370", "122434689", "413887481", "323318309", "635288902", "527575849", "468919389", "784200802"}

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

Returns: "428545389"
{"73229397", "65427208", "20480396", "20420356", "15905926", "61879698", "70420396", "80820396", "83083616", "25620396", "56120344", "10423206", "20425396"}

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

Returns: "20420396"
{"68", "42", "52", "06", "50", "35", "88", "85", "26", "09", "54", "71", "08", "48", "88", "02", "50", "07", "00", "94", "53", "87", "84", "46", "30", "72", "97", "22", "97", "05", "36", "92", "89", "38", "22", "12", "44", "59", "97", "89", "42", "45", "85", "85", "92"}

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

Returns: "82"
{"47", "56", "65", "23", "24", "33", "93", "54", "32", "30", "40", "96", "65", "33", "45", "13", "93", "96", "68", "21", "73", "69", "64", "14", "35", "23", "93", "23", "74", "69", "82", "13", "13", "28", "41", "05", "90", "62", "90", "60", "65", "21", "48", "93"}

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

Returns: "63"
{"2943153", "9518051", "3336459", "1486459", "2423621", "4738938", "6164119", "9186451", "2237470", "3006739", "1586555", "5595121", "1746451", "1788363", "2055793", "1616459", "6808471", "5469639", "3186351", "8086933", "3589151", "1567041", "1479551", "8538451", "1516356", "8005954", "9275661"}

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

Returns: "1586451"
{"22315", "11486", "90915", "81566", "98411", "04697", "12031", "45056", "91214", "84317"}

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

Returns: "Ambiguity"
{"97516417", "03334377", "73665225", "76075094", "73764836", "41495945", "86814908", "36705107", "35598293", "14367384", "30614635", "34101500", "86494138", "47677097", "43165773", "86571352", "72300107", "79602165", "69840125", "37968882", "01510038", "32850283", "02189370", "43786916", "64456997", "36633871", "76316055", "48763543", "80223482", "86329644", "73652702", "42949686", "74754371", "24358260", "61160908", "82101920", "99923715", "13944718", "06749712", "09991667", "70794938", "81846649", "31755826", "37218937", "24403410", "71428193", "84614225", "69275790", "05992551", "57733260"}

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

Returns: "25287848"
{"59", "17", "02", "61", "00", "85", "53", "69", "15", "59", "31", "68", "85", "31", "53", "83", "87", "79", "79", "59", "70", "69", "09", "81", "86", "87", "04", "29", "47", "83", "66", "09", "39", "16", "29", "93", "77", "51", "31", "19", "77", "82", "04", "63", "74", "92", "79", "99", "85", "49"}

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

Returns: "89"
{"840944", "866406", "423329", "979029", "769583", "750468", "595513", "724433", "199652", "813448", "326333", "804268", "220429", "719993", "725429", "619347", "840376", "129122", "737329", "306302", "010813", "721352", "340113", "742025", "903507", "046215", "318566", "947601", "810166", "873530", "373560", "020522", "713325", "704009", "950063", "666487", "727803", "224442", "670598", "707151", "872594", "540888", "711383", "750620", "694843", "796720"}

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

Returns: "720323"
{"59343198", "27859668"}

{3, 3}

Returns: "Ambiguity"
{"02187687", "09323647", "76002477", "08181390", "90999675", "05121127", "66321067", "08002687", "14532891", "14453937", "48184587", "04514858", "01184667", "08082687", "76413767", "03622753", "15295879", "82151928", "42656002", "30561200", "12640010", "09184627", "36584694", "98874717", "62166138", "67117041", "89674598", "27307230", "48184387"}

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

Returns: "08184687"
{"634146", "728952", "219839", "938142", "935494", "632142", "655842", "119396", "534142", "636082"}

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

Returns: "634142"
{"213153", "212076", "881573", "334297", "790103", "621225", "543980", "564019", "891742", "585033", "122651", "426627", "310950", "954344", "421018", "125560", "621441", "306042", "890280", "348463", "938270", "625512", "120549", "562847", "286168", "921444", "654672", "911806", "862787", "133744", "769162", "851734", "721802", "416531", "025558"}

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

Returns: "421542"
{"786568898", "207137041", "983634045", "531139799", "591000359", "534365413", "855255853", "594554433", "976722540", "993465260", "584659312", "598736013", "366685976", "067431332", "724219366", "574455913", "515755014"}

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

Returns: "524755013"
{"90536", "06936", "73320", "35321", "93171", "79664", "27997", "80626", "66213", "90546", "50231", "97593", "97536", "82479", "92037", "82357", "49773"}

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

Returns: "80937"
{"0278592", "2334308", "7608702", "0718571", "6878202", "4118543", "0978502", "5378282", "0778502", "0238502", "6129732", "9928552", "7278582", "5463963", "6606369", "7678502", "0078504", "0368481", "2384297", "2194286", "0538636", "0178500", "8164516", "1282930", "9078404", "0278800", "8278502", "5208962", "0378105", "0237005", "0968402"}

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

Returns: "0278502"
{"449", "361", "743", "537", "548", "394", "247", "521", "348", "807", "141", "650", "519", "543", "569", "759"}

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

Returns: "549"
{"481586", "463586", "441858", "418474", "459586", "429286", "630337", "429587", "362286", "049194", "929551", "299580", "425586", "429582", "571865", "428286", "496576", "054616", "824687", "829485", "459688", "409586", "128309", "162555", "929386", "429266", "329523", "001872", "357370", "196388", "453506", "115834", "439588", "303354", "429583", "421582", "006435", "439984", "438581", "696791", "141341"}

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

Returns: "429586"
{"004837865", "982000026", "003685014", "573296627", "584167150", "932896072", "280040526", "902033290", "192007850", "542363020", "302807112", "777176251", "360811950", "885983942"}

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

Returns: "982063020"
{"76", "11", "17", "51", "63", "61", "11", "16", "48", "70", "07", "90", "71", "10", "24", "74", "13", "18", "46", "09", "07", "51", "31", "07", "41", "05", "06", "07", "61", "44", "78", "99", "26", "31", "71", "73", "33", "76", "11"}

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

Returns: "01"
{"69942817", "35247543"}

{0, 0}

Returns: "Ambiguity"
{"72037697", "62036715", "32186015", "72526915", "47016715", "07411725", "52636015", "49336715", "72076715", "62036715", "22421733", "72036813", "72030010", "72876758", "75013819", "32536165", "82495831", "72600016", "72036786", "57559721", "72036705", "10886175", "52030596", "84336715", "52037274", "72132717", "72136725", "43269321", "76033015", "32437719", "54032715", "78036715", "34223110", "96228459", "78045715", "58302198", "72016717", "91481607"}

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

Returns: "72036715"
{"004325", "906510", "188564", "952538", "816369", "899869", "909251", "855899", "939281", "599157"}

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

Returns: "916819"
{"769583769", "741289607", "381817723", "019171454", "820654279", "138453320", "198129928", "850466048", "523724119", "598854739", "812898718", "160177511", "489240797", "978242368", "416891656", "879083911", "856287247", "213649219", "663561793", "807606501", "210957457", "017630304", "565486942", "554746195", "019566640", "387415410", "785355309", "358335738", "216292249", "701868136", "828982761", "969075858"}

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

Returns: "030687628"
{"3591"}

{1}

Returns: "Ambiguity"
{"96411098", "41188096", "24826699", "27136690", "26374617", "37158425", "02988563", "80400384", "91229899", "70844545", "33016679", "25131533", "64375978", "91216903", "64005653", "21716649", "24126612", "41118482"}

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

Returns: "21126699"
{"194582317", "737167816", "941046314", "380912509", "367436318", "724762129", "320803338", "509625560", "755059219", "714662216", "706982581", "926598530", "602062252", "914704800", "709152218", "794154619", "304062261", "201407909", "664113215", "825333862", "704568261", "714168207", "977263071", "623453082", "204668212", "523191396", "355061211", "204361041", "203079179", "704022373", "240292791"}

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

Returns: "704062219"
{"250", "370", "888", "310", "141", "255", "619", "955", "152", "176", "878", "340", "740", "956", "312", "357", "979", "750", "354", "353", "380", "716", "551", "992", "730", "650", "400", "653", "101", "870", "656", "182", "665", "109", "160", "222", "656", "381", "623", "382", "330"}

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

Returns: "350"
{"937", "669", "539", "292", "273", "071", "396", "790", "437", "762", "866", "802", "222", "222", "936", "606", "322", "524", "727"}

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

Returns: "722"
{"38989", "82831", "36830", "12628", "62021", "82986", "74171", "86881", "83981", "86186", "84827", "36130", "81171", "34423", "09111", "82105", "82627", "59189", "74321", "83541"}

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

Returns: "82121"
{"390084", "131921", "258859", "159750", "370867", "689263", "983043", "384458", "422033", "046895", "920452", "874961", "630121", "687339", "503002", "499243", "996746", "105261", "460648", "020564", "423321", "071837", "724732", "779485", "911397", "196361", "470908", "563927", "554559", "999861", "410928", "953456", "132806", "603275", "818756", "131651", "658168", "900373", "371104", "330220", "853526", "276346"}

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

Returns: "675692"
{"269294751", "182029877", "124101300", "086196845", "068820126", "560244885", "618671321", "512052321", "616827828", "603356494", "598879826", "820560047", "432044802", "068726191", "625218725", "846297367", "204982104", "480605216", "693091079", "120592451", "807499249", "660364009", "909604811", "140324955", "200754526", "279026395", "680311941", "415087783", "368509933", "660754034", "736851645"}

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

Returns: "620084821"
{"61", "04", "16", "33", "95", "03", "46", "73", "93", "23", "29", "14", "45", "76", "80", "22", "18", "23", "28", "53", "34", "76", "15", "61", "17", "19", "14", "78", "69", "84", "10", "34", "33", "44", "39", "93", "33", "31", "67"}

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

Returns: "13"
{"475", "455", "725", "419", "625", "480", "823", "316", "035", "419", "075", "492", "411", "370", "497", "025", "479", "007", "410", "115", "017", "011", "461", "731", "473", "015", "091", "743", "417", "162", "485", "925", "437", "978", "485", "555", "435", "956", "160", "450", "420", "414", "825", "598", "692", "211", "862", "562", "266"}

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

Returns: "415"
{"48501", "00361", "97888", "76931", "98790", "98588", "98337", "66525", "23346", "03580", "48584", "08519", "95581", "07544", "17844", "88458", "96581", "98181", "16326", "91048", "98197", "06954", "93601", "98582", "20076", "82357", "18584", "92681", "85985", "38835", "97540", "99498", "01718", "29579", "80434", "37582", "11531", "98282", "88558"}

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

Returns: "98581"
{"3132421", "9132172", "3472978", "1972978", "2472976", "1750680", "8283964", "8556931", "4432919"}

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

Returns: "Ambiguity"
{"831977", "746578", "149885", "433672", "698661", "287921", "238820", "866090", "113629", "147831", "905150", "238626", "782809"}

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

Returns: "Ambiguity"
{"82612174", "86148973", "52020395", "40516526", "19523529", "87283302", "36735386", "65876853", "03225472", "51228872", "13599029", "03270678", "33232309", "59323872", "13623567", "32242972", "52526373", "55134438", "51273373", "53023070", "91225382", "53128172", "37523785", "07323372", "84150458", "43223773", "83329394", "54350826", "55222377", "81605171", "23250380", "22733996", "54127372", "33423863", "63225362", "32195632"}

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

Returns: "53223372"
{"785517", "941417", "585522", "845039", "680517", "090611", "050515", "608685", "788567", "233510", "784517", "590577", "757493", "083537", "722947", "878378", "671551", "780416", "707114", "339998", "780567", "480517", "235158", "959111", "781510", "621510", "744327", "818497", "252832", "747948"}

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

Returns: "780517"
{"6669348", "9831929", "5157926", "1261279", "6129225", "0568368", "9918715", "5648225"}

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

Returns: "Ambiguity"
{"409414", "947305", "622205", "197098", "448936", "306349", "497966", "686003", "087972", "106086", "431228", "101418", "207898", "405200", "110806", "687537", "944335", "697088", "627533"}

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

Returns: "107935"
{"71", "77", "25", "62", "27", "24", "01", "28", "31", "81", "57", "75"}

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

Returns: "Ambiguity"
{"980", "635", "565", "981", "088", "940", "192", "984", "951", "855", "905", "285", "905", "031", "922", "261", "924", "902", "988", "432", "105", "949", "982", "986", "179", "695", "287", "974", "299", "305", "185", "685", "984", "513", "897", "610", "341", "156", "270"}

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

Returns: "985"
{"669", "800", "151", "281", "871", "669", "576", "164", "069", "643", "790", "829", "449", "312", "275", "104", "042", "732", "645", "293", "963"}

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

Returns: "773"
{"018025", "628321", "415200", "518005", "668011", "213572", "132796", "761940", "714559"}

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

Returns: "Ambiguity"
{"53211", "00710", "68815", "93208", "39415", "59045", "10545", "14927", "28555", "78047", "29648", "49940", "37561", "27335", "76435", "79548", "75635", "29535", "77544", "70544", "88350", "71715", "72939", "07650", "09535", "44447"}

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

Returns: "79545"
{"23865", "95679", "97208", "97258", "95771", "42737", "95235", "97405", "45608", "78008", "39702", "95238", "77198", "95205", "82619", "95228", "07570", "94808", "93458", "49030", "98407", "95608", "55206"}

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

Returns: "95208"
{"593264191", "643114160", "155197045", "062690200", "282551469", "317983978", "451852197", "397648247", "025724523", "785697877", "136969609", "079219167", "858775441", "042882441", "800836535", "694177751", "018548094", "765981721", "142390825", "292726738", "403296058"}

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

Returns: "Ambiguity"
{"239", "963", "796", "499", "096", "342", "096", "963", "040", "990", "452", "596", "488", "509", "958", "896"}

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

Returns: "996"
{"19342219", "58956635", "58676652", "88676575", "23387448", "42063472", "38635406", "05527183", "58665672", "53676682", "05632660", "64616652", "58576672", "72661699", "08676072", "58675672", "58779646", "58674672", "28528251", "16684572", "47783115", "48122673", "38976272", "56776172", "88584429", "26316073", "53671405", "39676672", "58676677", "54808102", "08696672", "68676672"}

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

Returns: "58676672"
{"376381", "599419", "792819", "130880", "455642", "401783", "425771", "303677", "420791", "731839", "737351", "462113", "873681", "432831", "433232", "431826", "443231", "833384", "233531", "931832", "234781", "963711", "963531", "433853", "698339", "458323", "464795", "465871", "967842", "261711", "333331", "729609", "138034", "037791", "453681", "436531", "423732"}

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

Returns: "433731"
{"435", "450", "865", "837", "215", "832", "335", "884", "831", "805", "880", "394", "317", "516", "068", "735"}

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

Returns: "835"
{"40", "06", "98", "94", "69", "68", "85", "11", "41", "68", "34", "38", "11", "96", "16", "56", "78", "48", "28", "86", "88", "78", "88", "80", "88", "67", "73", "26", "57", "90", "29", "81", "02", "57", "27", "17", "34", "77", "98", "03", "86", "28", "60", "49", "19", "47", "56", "28", "71", "66"}

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

Returns: "18"
{"747331", "548667", "254638", "029098", "042917", "049619", "806986", "112866", "273219", "412299", "810588", "086532", "070789", "781773", "404792", "749805", "687159", "332826", "006843", "379460", "507755", "984697", "682606", "088155", "096075", "900255", "023527", "000295", "945144", "069629", "582792", "301779", "000664", "844722", "219404", "891978", "771077", "855137", "764394", "038979"}

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

Returns: "002359"
{"70053187", "96872022", "09456705", "37652239", "26413685", "38880820", "88963840", "05462340", "00433040", "00466840", "50493714", "50334949", "36163822", "47822204", "99331128", "40983880", "56642935", "83468310", "03163840", "06218847", "00467849", "47462846", "65343392", "06863870", "91263244", "32891604", "00463860", "97363845", "93255205", "20966404"}

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

Returns: "00463840"
{"76", "60", "43", "64", "17", "69", "49", "46", "69", "86", "22", "63", "36", "72", "34", "96"}

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

Returns: "66"
{"3998366", "3994578", "4522004", "8288478", "7102772", "7052893", "9361265", "3952579", "9903499", "3990095", "2961842", "8325287", "7635595", "0174601", "9312269", "9863619", "4600176", "0849463", "7443975", "7300108", "1653146", "5417305", "1345970", "1583721", "1987119", "2555617", "3694138", "7534045", "1850080", "8084479", "0743105", "3376766", "3007821", "4324306", "4726889", "7812623", "8738304", "7331357", "9012609", "4674141", "3893448", "4447705"}

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

Returns: "6577552"
{"92329", "90212", "36271", "53220", "92583", "91386", "01507", "02504", "07585", "37097", "72141", "32983", "49899", "30725", "11164", "35723", "35533", "32327", "35555", "91473", "62441", "47168", "21543", "95746", "42923", "30863"}

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

Returns: "32523"
{"19884556", "95998374", "42236850", "86874374", "25374780", "73674638", "75660801", "97752748", "47033363", "95330743", "97392203", "79301922", "75219728", "85877348", "92172875", "05079353", "49502457", "95250340", "09522070", "35317391", "85478395", "88775378", "95168571", "75859373", "51079589", "19992934", "13314878", "96822739", "71371595", "27951639", "94354370", "12172671", "48311571", "58488440", "14398213", "99232303", "91379842", "05318372", "57312577", "09395373", "45341883", "35071370"}

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

Returns: "95372373"
{"45", "44", "88", "59", "42", "30", "49", "96", "81", "75", "47", "07", "47", "31", "94", "03", "22", "42", "75", "54", "71", "46", "49", "29", "31", "01", "91"}

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

Returns: "41"
{"034432", "847557", "247360", "203268", "857495", "239122", "952586", "018606", "231047", "230112", "232572", "128472", "652520", "220242", "990617", "506012", "230742", "207236", "287412", "834402", "737742", "233444", "735442", "361268", "897634", "034417", "236682", "944419"}

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

Returns: "237442"
{"662", "612", "046", "153", "116", "148", "113", "771", "625", "404", "292", "653", "554"}

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

Returns: "452"
{"0157834", "7304245", "8080437", "2023752", "9619022", "3968345", "3804412", "9293737", "9303305", "5341945", "3309723", "5378399", "3108294", "5808506", "3040402", "5007645", "5908495", "0236379", "3674412", "4332444", "3270436", "4308769", "4362649", "8981086", "5334840", "3546364", "4878950", "2234687", "8979752", "7298345", "3330681", "7074487", "8594829", "9637319", "6137776", "4378545", "6368545"}

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

Returns: "5308345"
{"248315", "546037", "596898", "467206", "607508", "869027", "899089", "660796", "625534", "717603", "548914", "967409", "744415", "815673", "146849", "069510", "172542", "244318", "037242", "444734", "042116", "448792", "273329", "095127", "442706", "846923", "775363", "031490", "964518", "887914", "141013", "769573", "165234", "418173", "993393", "183807", "249425", "754314", "057707"}

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

Returns: "801145"
{"570802720", "626335564", "672502702", "614018275", "678364715", "478567703", "659562733", "211402415", "177062193", "670502903", "918792105"}

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

Returns: "678562703"
{"121212121", "343434343", "565656565", "787878787", "909090909", "000000000", "111111111", "222222222", "333333333", "444444444", "666666666", "777777777", "888888888", "999999999", "100000001", "920000000", "083000000", "007400000", "000606000", "000004700", "000000380", "000000029", "000006001", "000000081", "020600000", "100000020", "003000001", "003000020", "000000720", "000006020", "000600009", "100000300", "900006000", "000000380", "000006001", "007006000", "107000000", "100000300", "080000009", "000600080", "003000300", "003600000", "007000700", "000400020", "083000000", "080006000", "000600700", "007000080", "000400020", "003054300"}

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

Returns: "123456789"

Against Makoto's smart backtrack.
{"483059327","300149988","967986353","847867786","270776714","507750888","338656570","409376188","023202553","830249748","861676301","840072388","083269381","422980768","106302488","043827338","704852338","464271383","902455365","683135309","350945488","058157778","250926977","647825483","331803385","830019788","895136958","738516748","455484387","842236361","640351388","035174381","367953458","303006248","963677325","342100349","049474761","734081782","545053759","823564643","430241381","930927756","895472342","946831309","943672384","501436367","224126094","663925376","057427598","319986358"}

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

Returns: "123456789"
{"889483858","441016818","139178153","383385643","559752810","839687718","432326551","499247881","749054580","041664798","021554252","544376358","820376010","389776334","648448818","333177848","659277987","593612618","882353418","506150412","549692282","481252214","839672898","086776310","327586448","486655228","493671018","505650818","164976111","849678811","809016331","997311889","801171481","433967818","618470479","493161898","489648308","540346276","339188776","389186677","687263732","847268718","021751414","101368818","579615882","026678248","083336318","896266248","131342013","167588988"}

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

Returns: "123456789"
{"211072346","840078066","145026566","155654966","254975966","694956067","245178366","255182369","843616966","653022967","644922964","654072361","614065366","105176566","980156063","205608379","214065946","740925787","355642989","258075786","231978089","102422366","841975362","640198489","213375086","910628307","254965066","115933086","661422986","941462066","641096659","900978068","924028366","954726766","110422166","425125986","915665066","854967039","945476266","641939786","804928913","800125911","105266956","805022961","229062380","254622066","107178766","043052366","101660796","911556366"}

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

Returns: "123456789"
{"526300973","926333992","653385276","677351908","023384902","083886963","728484098","633315570","383780172","347445832","371358730","820382309","325860354","190500756","145338391","340385599","741081972","386311552","046465963","706285256","720382376","341671598","733705971","607061272","329381996","326330929","551358858","701380793","227381376","465386586","468396778","526473365","527785185","301108771","386371398","322083219","926313302","303581951","621669767","623311241","787585339","397401698","776395702","356795958","787383776","373381723","102487294","346780702","727251465","601085576"}

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

Returns: "123456789"
{"665484331","745448200","015843959","059459670","584431763","900558760","680588807","785901407","765548881","120319875","080359842","138303888","155536810","824018229","010949844","788142809","014508847","768487897","368355847","745421247","785183397","677966752","799429891","064543887","684101697","785188900","673187807","014143940","181246837","015589503","614109304","196945237","721483613","118378000","714403817","063901897","097488847","677481857","010546351","085888859","689466821","190388877","000989569","712086429","115549892","697308059","228105849","181758597","024327728","660953897"}

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

Returns: "123456789"
{"452624586","182762979","591462321","659858366","806501361","026918196","226310374","822384396","532004474","051431466","520198421","100907731","852346150","483340964","051161721","452546960","141387722","888304579","086958110","224304376","156708170","162308440","353009474","827114520","452304376","365401324","562314466","072904324","505807761","953286821","453704326","153792594","855350166","056948281","156546673","442351167","862308586","844413494","821341261","882358824","154386626","526361575","522388464","827708591","639351426","452328584","852324581","053301130","451411222","046374766"}

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

Returns: "123456789"
{"100376598","577009738","445729768","118309595","769066690","189306537","839770785","014821879","999008782","078079979","574701761","079158885","405879598","107208669","049708539","808709339","314709699","427201293","474099569","726709701","159996038","009007539","009809568","093863598","779718533","108005745","845409130","649409583","993482563","008816573","404405568","777939710","749908715","827811603","469501599","077781465","079881533","817116704","777739335","625807757","315109763","791706181","431806968","404002763","878409563","808402133","823238591","475719590","713793538","783103720"}

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

Returns: "123456789"
{"960431543","273109735","560471523","370354703","273804703","693950403","921115742","693353698","817250809","953226803","821307684","513649514","200958403","800361475","853352563","010346083","811356126","703051965","563025705","194358803","270358407","849356202","853355603","250553583","319359409","184637283","540447703","725781509","026652403","610326493","897666463","826352405","808410109","442356431","965351523","873352377","192636103","800331473","800381573","839656933","813611493","425734439","180991765","026054503","884651281","543928700","803214405","830369733","970398989","432316730"}

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

Returns: "123456789"
{"783045387","195146681","383437458","727546367","790481480","437160699","694956498","318446375","392246988","328648829","999546588","335856277","537053437","383541339","920149187","353343796","229286607","141626142","307058752","333846063","125147207","330617439","192449638","627249634","347353701","390246737","882046698","648866937","497476648","373804899","337756067","390926479","323520818","185845736","580266229","174746191","848826998","383422335","382586097","330566697","086446491","334446611","457841799","466155736","327547624","683046370","397546338","410156958","337025588","687832639"}

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

Returns: "123456789"
{"178352338","824397846","314551512","521495337","850477379","832592713","513693350","128245250","145813582","210397310","513593312","463195379","834397376","244392312","204259373","430699270","744696884","240959256","673596352","463649386","435519836","578458933","140595271","216596319","543597302","523595396","641455643","835727799","839593382","226494373","414697276","324395333","210699766","284396529","113595363","877457336","844369816","520295912","330697370","729052313","210692676","110167726","345507512","414419672","840263339","248557156","044553400","340497373","870449316","535952333"}

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

Returns: "123456789"
{"174536111","060621580","079595610","381580618","873351234","381581510","131116600","374581041","304704780","179381127","371390617","368752541","380311211","983611329","303622736","370646521","370421028","300146746","374590230","184381661","371621211","183261548","376681780","272296283","060751018","384528517","374159028","309621230","674381647","301195640","321323038","759354588","324711037","384326918","679076720","324953238","161381551","182587083","980651038","003651571","163677057","330491611","394416341","325181710","004396512","300121618","529716343","384182037","343120020","383461421"}

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

Returns: "123456789"
{"922394048","977088085","485174528","039997012","389954732","078997878","899198223","803989098","431306288","839498329","975446028","092368529","482139819","032983084","933128069","028997241","872998028","562457828","195976926","485098527","492099822","992377298","953978529","089098828","479688829","892389823","988159048","280076529","924480835","089099728","878084228","871954680","403594583","979188257","933475428","482376247","092991529","948998088","979488828","118298287","935974078","995777029","799389888","992199522","485974528","432988227","079086268","182159428","926858038","479474548"}

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

Returns: "123456789"
{"410304247","613677746","628754831","613961049","617257059","322277838","608467344","617071884","517430180","760574230","610067237","729024240","116354665","360084379","614657480","217057362","118387870","638294283","616460242","786060387","810304847","618175882","917051262","610407047","619252182","178981532","167854597","687157084","918261259","687558794","600877487","010236544","610274332","896464699","613494647","613482330","623980317","238086554","717566250","145270716","676474862","108154502","663586337","619561180","696549389","680401314","616506240","627215987","820763439","618207832"}

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

Returns: "123456789"
{"123456789", "234567891", "345678912", "456789123", "567891234", "678912345", "789123456", "891234567", "912345678", "000000000", "678912345", "789123456", "891234557", "912345678", "000001000", "678912345", "789123456", "891234567", "912344678", "000000000", "678913345", "789123456", "891233567", "912345678", "000006000", "678912345", "789122456", "891232567", "912345678", "000006000" }

{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

Returns: "Liar"
{"000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009" }

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

Returns: "Liar"
{"925833420", "428667474", "341137424", "128302424", "528097704", "208332280", "058533582", "018344464", "976534348", "876106084", "435436585", "148083488", "416837064", "938538714", "378234621", "902097680", "588047470", "940935888", "568438021", "901069584", "028437000", "998612754", "935932465", "838797564", "678424030", "961453420", "089007482", "950737920", "874936435", "971217992", "978134930", "478547368", "489347434", "392967404", "738456114", "381414480", "983037632", "977267914", "092436124", "270760884", "876367885", "878634276", "108431644", "671172384", "128157734", "978504850", "308407903", "628067456", "316477446", "985297514" }

{3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3 }

Returns: "978437484"
{"900000000", "080000000", "007000000", "000600000", "000050000", "000004000", "000000300", "000000020", "000000001" }

{1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "987654321"
{"367535629", "127093606", "261879202", "375922897", "361293194", "784503610", "632061554", "765693745", "254744307", "868843149", "206892664", "950487172", "722610615", "949091771", "159776736", "563948129", "390885096", "385611598", "481030444", "476317596", "217857418", "597538831", "896433386", "048889776", "430309254", "059469224", "775481289", "368021051", "108506462", "586284724", "062990813", "110340391", "969338056", "640046267", "569872829", "960276132", "159914910", "758704804", "296104222", "055290283", "804091962", "544993605", "029435174", "314694226", "412889288", "868383338", "047689068", "790333732", "652658796", "041048708" }

{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

Returns: "Liar"
{"100000000", "020000000", "003000000", "000400000", "000050000", "000006000", "000000700", "000000080", "000000009", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "123456789"
{"100000000", "010000000", "001000000", "000100000", "000010000", "000001000", "000000100", "000000010", "000000001", "100000000", "010000000", "001000000", "000100000", "000010000", "000001000", "000000100", "000000010", "000000001", "100000000", "010000000", "001000000", "000100000", "000010000", "000001000", "000000100", "000000010", "000000001", "100000000", "010000000", "001000000", "000100000", "000010000", "000001000", "000000100", "000000010", "000000001", "100000000", "010000000", "001000000", "000100000", "000010000", "000001000", "000000100", "000000010", "000000001", "100000000", "010000000", "001000000", "000100000", "000010000" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "111111111"
{"900000000", "090000000", "009000000", "000900000", "000090000", "000009000", "000000900", "000000090", "000000009", "111111119" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "999999999"
{"910000000", "902000000", "900300000", "900300000", "900040000", "900005000", "900000600", "900000070", "900000008" }

{2, 2, 2, 2, 2, 2, 2, 2, 2 }

Returns: "912345678"
{"033496626", "811828215", "757144633", "872017361", "583731030", "355499291", "747437154", "636519590", "901349563", "277943717", "971636597", "886216667", "802724119", "084674603", "178550707", "181440007", "390952388", "548910694", "309759170", "148163411", "397509500", "033496626", "811828215", "757144633", "872017361", "583731030", "355499291", "747437154", "636519590", "901349563", "277943717", "971636597", "886216667", "802724119", "084674603", "178550707", "181440007", "390952388", "548910694", "309759170", "148163411", "397509500" }

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

Returns: "887850521"
{"000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777" }

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

Returns: "Liar"
{"999999988", "999999999" }

{8, 8 }

Returns: "Ambiguity"
{"689717881", "729469886", "836709781", "182159888", "389571851", "802979001", "855698811", "883017381", "287479881", "689187881", "186272081", "549279841", "829259582", "889209851", "465277831", "489034841", "854257830", "583859981", "451171881", "829977181", "589259281", "584819788", "189275655", "389989186", "888219281", "389364881", "289619892", "488379911", "739371471", "399229321", "589077481", "889372855", "074279488", "489276833", "879734481", "849279825", "715279981", "386309883", "899779505", "115174081", "687279667", "987289061", "789279812", "082577871", "419709881", "178279821", "587503881", "815432882", "809271664", "886556286" }

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

Returns: "889279881"
{"174094882", "455171152", "761423221", "685761892", "795431233", "411387427", "793198650", "286024865", "090061389", "344606618", "496378829", "135984076", "361542097", "372601657", "541200146", "071777733", "599818266", "038012509", "478351201", "640618984", "143988087", "783837107", "349651099", "683484992", "553337438", "088068198", "972282890", "781586124", "258626539", "246182119", "762952003", "918195325", "258677229", "419698255", "491250839", "396799769", "357665825", "441616335", "532825361", "862146291", "503649293", "440596342", "887581257", "444442930", "778730382", "520372975", "343211325", "351222640", "703400531", "067500454" }

{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

Returns: "Liar"
{"000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011", "000000000", "000011111", "001100111", "011011100", "010110011" }

{4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }

Returns: "Ambiguity"
{"000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009" }

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

Returns: "Liar"
{"012345789", "112345789", "212345789", "312345789", "412345789", "512345789", "612345789", "712345789", "812345789", "912345789" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "Liar"
{"111111110", "111111111", "111111112", "111111113", "111111114", "111111115", "111111116", "111111117", "111111118", "111111119" }

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

Returns: "Liar"
{"111111111" }

{8 }

Returns: "Ambiguity"
{"123456789" }

{8 }

Returns: "Ambiguity"
{"000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444", "000000000", "111111111", "222222222", "333333333", "444444444" }

{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

Returns: "Liar"
{"12", "32" }

{1, 1 }

Returns: "Ambiguity"
{"000000985", "000000588", "000000847", "000000313", "000000254", "000000904", "000000434", "000000606", "000000978", "000000748", "000000569", "000000473", "000000317", "000000263", "000000562", "000000234", "000000592", "000000262", "000000596", "000000189", "000000376", "000000332", "000000310", "000000099", "000000674", "000000959", "000000298", "000000153", "000000437", "000000302", "000000205", "000000854", "000000800", "000000006", "000000363", "000000955", "000000689", "000000820", "000000075", "000000834", "000000415", "000000660", "000000477", "000000737", "000000477", "000000592", "000000220", "000000888", "000000500", "000000357" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "Liar"
{"000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999", "000000000", "111111111", "222222222", "333333333", "444444444", "555555555", "666666666", "777777777", "888888888", "999999999" }

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

Returns: "Liar"
{"000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000010", "000000011", "000000012", "000000013", "000000014", "000000015", "000000016", "000000017", "000000018", "000000019", "000000020", "000000021", "000000022", "000000023", "000000024", "000000025", "000000026", "000000027", "000000028", "000000029", "000000030", "000000031", "000000032", "000000033", "000000034", "000000035", "000000036", "000000037", "000000038", "000000039", "000000040", "000000041", "000000042", "000000043", "000000044", "000000045", "000000046", "000000047", "000000048", "000000049" }

{4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }

Returns: "Liar"
{"000000000", "000000009", "000000090", "000000900", "000009000", "000090000", "000900000", "009000000", "090000000", "900000000", "000000000", "000000009", "000000090", "000000900", "000009000", "000090000", "000900000", "009000000", "090000000", "900000000", "000000000", "000000009", "000000090", "000000900", "000009000", "000090000", "000900000", "009000000", "090000000", "900000000", "000000000", "000000009", "000000090", "000000900", "000009000", "000090000", "000900000", "009000000", "090000000", "900000000", "000000000", "000000009", "000000090", "000000900", "000009000", "000090000", "000900000", "009000000", "090000000", "900000000" }

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

Returns: "999999999"
{"888888889", "888888898", "888888988", "888889888", "888898888", "888988888", "889888888", "898888888", "988888888" }

{1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "999999999"
{"000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000" }

{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 }

Returns: "Liar"
{"234466890", "134567890", "224467790", "134567899", "234567890", "134557790", "234567790", "224466790", "234567880", "224457799", "134567890", "234566890", "234556890", "233567790", "234467880", "234567890", "234566890", "233467890", "133567890", "133466889", "234567780", "224467890", "234467790", "134456890", "234567899", "134457890", "233566890", "234556890", "133567890", "223567890", "223566790", "233567890", "233567780", "234466790", "234466890", "233567890", "234467790", "234467890", "233457880", "234556890", "234557790", "134567890", "134567890", "233566890", "234567889", "233567890", "224467880", "234467889", "224567890", "124566899" }

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

Returns: "123456789"
{"099845870", "109552386", "246963829", "330429697", "531919117", "964605021", "116592552", "571023170", "186421061", "178780414", "762422254", "030834139", "229379871", "187508148", "449455103", "991918052", "166709088", "879655428", "368781332", "107856402", "742560002", "205967613", "697673810", "803740986", "474760634", "301985386", "468397622", "358844390", "097675700", "635501958", "881412477", "899503918", "962362994", "434847256", "477845657", "151963479", "050206472", "820178084", "733073301", "762978126", "373366783", "175531073", "150745414", "578185422", "562397894", "221408588", "214146065", "152924966", "209913712", "019766967" }

{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 }

Returns: "Liar"
{"000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000", "000000000" }

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: "Liar"
{"999999950", "999999951", "999999952", "999999953", "999999954", "999999955", "999999956", "999999957", "999999958", "999999959", "999999960", "999999961", "999999962", "999999963", "999999964", "999999965", "999999966", "999999967", "999999968", "999999969", "999999970", "999999971", "999999972", "999999973", "999999974", "999999975", "999999976", "999999977", "999999978", "999999979", "999999980", "999999981", "999999982", "999999983", "999999984", "999999985", "999999986", "999999987", "999999988", "999999989", "999999990", "999999991", "999999992", "999999993", "999999994", "999999995", "999999996", "999999997", "999999998", "999999949" }

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: "Liar"
{"999999990", "999999991", "999999992", "999999993", "999999994", "999999995", "999999996", "999999997", "999999998", "999999999" }

{4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }

Returns: "Liar"
{"999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990", "999999990" }

{8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 }

Returns: "Ambiguity"
{"000000001", "000000000", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000000", "000000001", "000000002", "000000003", "000000004", "000000005", "000000006", "000000007", "000000008", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009", "000000009" }

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: "Liar"
{"000000000", "000000001", "000000002" }

{0, 1, 1 }

Returns: "Liar"
{"999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "999999998", "888888888", "899999997" }

{8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8 }

Returns: "999999997"

Statistics

Problem Statement for "EllysBulls"

Problem Statement

Definition

Notes

Constraints

Examples