What's my PIN number?

Question

My PIN number is 1077, but that's too difficult to remember. I know from muscle memory that it's a digit, followed by a different digit, then followed by two of the same digit, which is different to the other two digits before it. As a pattern, we can say it is ABCC (where each letter represents a digit, and the same letter represents the same digit).

There are 15 possible PIN patterns. They are, along with some examples:

AAAA -> 5555    AAAB -> 7773    AABA -> 4484    AABB -> 3377    AABC -> 2265
ABAA -> 0300    ABAB -> 5252    ABAC -> 2325    ABBA -> 7667    ABBB -> 4888
ABBC -> 4880    ABCA -> 1041    ABCB -> 7080    ABCC -> 2600    ABCD -> 0857

You are to take 4 values as input representing the pattern of my PIN number. These values can be any reasonable value, such as the integers 1, 2, 3, 4, the letters A, B, C, D as strings, etc. You may choose what these values are, but please be mindful of this standard loophole when choosing values that aren't as simple as digits or characters.

You should then output all possible 4 digit combinations that fit the input pattern. You may output in any order, and in any format that clearly shows the 4 digits of each (so as integers doesn't work as you'll exclude leading zeros), and that clearly shows each combination together. One example could be outputting each digit separated by newlines and each combination separated by 3 newlines, or outputting a list of lists.

This is code-golf, so the shortest code in bytes wins.

Test cases

There is a fixed set of inputs, so we can have a comprehensive set of test cases. However, the output for ABCD has 5040 numbers, which is rather long. This program generates the complete I/O set. Below are just the first 25 (all 10 for AAAA), in lexicographic order:

AAAA -> 0000, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999
AAAB -> 0001, 0002, 0003, 0004, 0005, 0006, 0007, 0008, 0009, 1110, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 2220, 2221, 2223, 2224, 2225, 2226, 2227
AABA -> 0010, 0020, 0030, 0040, 0050, 0060, 0070, 0080, 0090, 1101, 1121, 1131, 1141, 1151, 1161, 1171, 1181, 1191, 2202, 2212, 2232, 2242, 2252, 2262, 2272
AABB -> 0011, 0022, 0033, 0044, 0055, 0066, 0077, 0088, 0099, 1100, 1122, 1133, 1144, 1155, 1166, 1177, 1188, 1199, 2200, 2211, 2233, 2244, 2255, 2266, 2277
AABC -> 0012, 0013, 0014, 0015, 0016, 0017, 0018, 0019, 0021, 0023, 0024, 0025, 0026, 0027, 0028, 0029, 0031, 0032, 0034, 0035, 0036, 0037, 0038, 0039, 0041
ABAA -> 0100, 0200, 0300, 0400, 0500, 0600, 0700, 0800, 0900, 1011, 1211, 1311, 1411, 1511, 1611, 1711, 1811, 1911, 2022, 2122, 2322, 2422, 2522, 2622, 2722
ABAB -> 0101, 0202, 0303, 0404, 0505, 0606, 0707, 0808, 0909, 1010, 1212, 1313, 1414, 1515, 1616, 1717, 1818, 1919, 2020, 2121, 2323, 2424, 2525, 2626, 2727
ABAC -> 0102, 0103, 0104, 0105, 0106, 0107, 0108, 0109, 0201, 0203, 0204, 0205, 0206, 0207, 0208, 0209, 0301, 0302, 0304, 0305, 0306, 0307, 0308, 0309, 0401
ABBA -> 0110, 0220, 0330, 0440, 0550, 0660, 0770, 0880, 0990, 1001, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 2332, 2442, 2552, 2662, 2772
ABBB -> 0111, 0222, 0333, 0444, 0555, 0666, 0777, 0888, 0999, 1000, 1222, 1333, 1444, 1555, 1666, 1777, 1888, 1999, 2000, 2111, 2333, 2444, 2555, 2666, 2777
ABBC -> 0112, 0113, 0114, 0115, 0116, 0117, 0118, 0119, 0221, 0223, 0224, 0225, 0226, 0227, 0228, 0229, 0331, 0332, 0334, 0335, 0336, 0337, 0338, 0339, 0441
ABCA -> 0120, 0130, 0140, 0150, 0160, 0170, 0180, 0190, 0210, 0230, 0240, 0250, 0260, 0270, 0280, 0290, 0310, 0320, 0340, 0350, 0360, 0370, 0380, 0390, 0410
ABCB -> 0121, 0131, 0141, 0151, 0161, 0171, 0181, 0191, 0212, 0232, 0242, 0252, 0262, 0272, 0282, 0292, 0313, 0323, 0343, 0353, 0363, 0373, 0383, 0393, 0414
ABCC -> 0122, 0133, 0144, 0155, 0166, 0177, 0188, 0199, 0211, 0233, 0244, 0255, 0266, 0277, 0288, 0299, 0311, 0322, 0344, 0355, 0366, 0377, 0388, 0399, 0411
ABCD -> 0123, 0124, 0125, 0126, 0127, 0128, 0129, 0132, 0134, 0135, 0136, 0137, 0138, 0139, 0142, 0143, 0145, 0146, 0147, 0148, 0149, 0152, 0153, 0154, 0156

Answer 1

Jelly, 8 bytes

⁵Œ!’³ịⱮQ

Times out on TIO, takes about two minutes on my machine:

% time python3 -m jelly eu '⁵Œ!’³ịⱮQ' "[1,2,3,1]"
[[0, 1, 2, 0], [0, 1, 3, 0], [0, 1, 4, 0], [0, 1, 5, 0], [0, 1, 6, 0], [0, 1, 7, 0], [0, 1, 8, 0], [0, 1, 9, 0], [0, 2, 1, 0], [0, 2, 3, 0], [0, 2, 4, 0], [0, 2, 5, 0], [0, 2, 6, 0], [0, 2, 7, 0], [0, 2, 8, 0], [0, 2, 9, 0], [0, 3, 1, 0], [0, 3, 2, 0], [0, 3, 4, 0], [0, 3, 5, 0], [0, 3, 6, 0], [0, 3, 7, 0], [0, 3, 8, 0], [0, 3, 9, 0], [0, 4, 1, 0], [0, 4, 2, 0], [0, 4, 3, 0], [0, 4, 5, 0], [0, 4, 6, 0], [0, 4, 7, 0], [0, 4, 8, 0], [0, 4, 9, 0], [0, 5, 1, 0], [0, 5, 2, 0], [0, 5, 3, 0], [0, 5, 4, 0], [0, 5, 6, 0], [0, 5, 7, 0], [0, 5, 8, 0], [0, 5, 9, 0], [0, 6, 1, 0], [0, 6, 2, 0], [0, 6, 3, 0], [0, 6, 4, 0], [0, 6, 5, 0], [0, 6, 7, 0], [0, 6, 8, 0], [0, 6, 9, 0], [0, 7, 1, 0], [0, 7, 2, 0], [0, 7, 3, 0], [0, 7, 4, 0], [0, 7, 5, 0], [0, 7, 6, 0], [0, 7, 8, 0], [0, 7, 9, 0], [0, 8, 1, 0], [0, 8, 2, 0], [0, 8, 3, 0], [0, 8, 4, 0], [0, 8, 5, 0], [0, 8, 6, 0], [0, 8, 7, 0], [0, 8, 9, 0], [0, 9, 1, 0], [0, 9, 2, 0], [0, 9, 3, 0], [0, 9, 4, 0], [0, 9, 5, 0], [0, 9, 6, 0], [0, 9, 7, 0], [0, 9, 8, 0], [1, 0, 2, 1], [1, 0, 3, 1], [1, 0, 4, 1], [1, 0, 5, 1], [1, 0, 6, 1], [1, 0, 7, 1], [1, 0, 8, 1], [1, 0, 9, 1], [1, 2, 0, 1], [1, 2, 3, 1], [1, 2, 4, 1], [1, 2, 5, 1], [1, 2, 6, 1], [1, 2, 7, 1], [1, 2, 8, 1], [1, 2, 9, 1], [1, 3, 0, 1], [1, 3, 2, 1], [1, 3, 4, 1], [1, 3, 5, 1], [1, 3, 6, 1], [1, 3, 7, 1], [1, 3, 8, 1], [1, 3, 9, 1], [1, 4, 0, 1], [1, 4, 2, 1], [1, 4, 3, 1], [1, 4, 5, 1], [1, 4, 6, 1], [1, 4, 7, 1], [1, 4, 8, 1], [1, 4, 9, 1], [1, 5, 0, 1], [1, 5, 2, 1], [1, 5, 3, 1], [1, 5, 4, 1], [1, 5, 6, 1], [1, 5, 7, 1], [1, 5, 8, 1], [1, 5, 9, 1], [1, 6, 0, 1], [1, 6, 2, 1], [1, 6, 3, 1], [1, 6, 4, 1], [1, 6, 5, 1], [1, 6, 7, 1], [1, 6, 8, 1], [1, 6, 9, 1], [1, 7, 0, 1], [1, 7, 2, 1], [1, 7, 3, 1], [1, 7, 4, 1], [1, 7, 5, 1], [1, 7, 6, 1], [1, 7, 8, 1], [1, 7, 9, 1], [1, 8, 0, 1], [1, 8, 2, 1], [1, 8, 3, 1], [1, 8, 4, 1], [1, 8, 5, 1], [1, 8, 6, 1], [1, 8, 7, 1], [1, 8, 9, 1], [1, 9, 0, 1], [1, 9, 2, 1], [1, 9, 3, 1], [1, 9, 4, 1], [1, 9, 5, 1], [1, 9, 6, 1], [1, 9, 7, 1], [1, 9, 8, 1], [2, 0, 1, 2], [2, 0, 3, 2], [2, 0, 4, 2], [2, 0, 5, 2], [2, 0, 6, 2], [2, 0, 7, 2], [2, 0, 8, 2], [2, 0, 9, 2], [2, 1, 0, 2], [2, 1, 3, 2], [2, 1, 4, 2], [2, 1, 5, 2], [2, 1, 6, 2], [2, 1, 7, 2], [2, 1, 8, 2], [2, 1, 9, 2], [2, 3, 0, 2], [2, 3, 1, 2], [2, 3, 4, 2], [2, 3, 5, 2], [2, 3, 6, 2], [2, 3, 7, 2], [2, 3, 8, 2], [2, 3, 9, 2], [2, 4, 0, 2], [2, 4, 1, 2], [2, 4, 3, 2], [2, 4, 5, 2], [2, 4, 6, 2], [2, 4, 7, 2], [2, 4, 8, 2], [2, 4, 9, 2], [2, 5, 0, 2], [2, 5, 1, 2], [2, 5, 3, 2], [2, 5, 4, 2], [2, 5, 6, 2], [2, 5, 7, 2], [2, 5, 8, 2], [2, 5, 9, 2], [2, 6, 0, 2], [2, 6, 1, 2], [2, 6, 3, 2], [2, 6, 4, 2], [2, 6, 5, 2], [2, 6, 7, 2], [2, 6, 8, 2], [2, 6, 9, 2], [2, 7, 0, 2], [2, 7, 1, 2], [2, 7, 3, 2], [2, 7, 4, 2], [2, 7, 5, 2], [2, 7, 6, 2], [2, 7, 8, 2], [2, 7, 9, 2], [2, 8, 0, 2], [2, 8, 1, 2], [2, 8, 3, 2], [2, 8, 4, 2], [2, 8, 5, 2], [2, 8, 6, 2], [2, 8, 7, 2], [2, 8, 9, 2], [2, 9, 0, 2], [2, 9, 1, 2], [2, 9, 3, 2], [2, 9, 4, 2], [2, 9, 5, 2], [2, 9, 6, 2], [2, 9, 7, 2], [2, 9, 8, 2], [3, 0, 1, 3], [3, 0, 2, 3], [3, 0, 4, 3], [3, 0, 5, 3], [3, 0, 6, 3], [3, 0, 7, 3], [3, 0, 8, 3], [3, 0, 9, 3], [3, 1, 0, 3], [3, 1, 2, 3], [3, 1, 4, 3], [3, 1, 5, 3], [3, 1, 6, 3], [3, 1, 7, 3], [3, 1, 8, 3], [3, 1, 9, 3], [3, 2, 0, 3], [3, 2, 1, 3], [3, 2, 4, 3], [3, 2, 5, 3], [3, 2, 6, 3], [3, 2, 7, 3], [3, 2, 8, 3], [3, 2, 9, 3], [3, 4, 0, 3], [3, 4, 1, 3], [3, 4, 2, 3], [3, 4, 5, 3], [3, 4, 6, 3], [3, 4, 7, 3], [3, 4, 8, 3], [3, 4, 9, 3], [3, 5, 0, 3], [3, 5, 1, 3], [3, 5, 2, 3], [3, 5, 4, 3], [3, 5, 6, 3], [3, 5, 7, 3], [3, 5, 8, 3], [3, 5, 9, 3], [3, 6, 0, 3], [3, 6, 1, 3], [3, 6, 2, 3], [3, 6, 4, 3], [3, 6, 5, 3], [3, 6, 7, 3], [3, 6, 8, 3], [3, 6, 9, 3], [3, 7, 0, 3], [3, 7, 1, 3], [3, 7, 2, 3], [3, 7, 4, 3], [3, 7, 5, 3], [3, 7, 6, 3], [3, 7, 8, 3], [3, 7, 9, 3], [3, 8, 0, 3], [3, 8, 1, 3], [3, 8, 2, 3], [3, 8, 4, 3], [3, 8, 5, 3], [3, 8, 6, 3], [3, 8, 7, 3], [3, 8, 9, 3], [3, 9, 0, 3], [3, 9, 1, 3], [3, 9, 2, 3], [3, 9, 4, 3], [3, 9, 5, 3], [3, 9, 6, 3], [3, 9, 7, 3], [3, 9, 8, 3], [4, 0, 1, 4], [4, 0, 2, 4], [4, 0, 3, 4], [4, 0, 5, 4], [4, 0, 6, 4], [4, 0, 7, 4], [4, 0, 8, 4], [4, 0, 9, 4], [4, 1, 0, 4], [4, 1, 2, 4], [4, 1, 3, 4], [4, 1, 5, 4], [4, 1, 6, 4], [4, 1, 7, 4], [4, 1, 8, 4], [4, 1, 9, 4], [4, 2, 0, 4], [4, 2, 1, 4], [4, 2, 3, 4], [4, 2, 5, 4], [4, 2, 6, 4], [4, 2, 7, 4], [4, 2, 8, 4], [4, 2, 9, 4], [4, 3, 0, 4], [4, 3, 1, 4], [4, 3, 2, 4], [4, 3, 5, 4], [4, 3, 6, 4], [4, 3, 7, 4], [4, 3, 8, 4], [4, 3, 9, 4], [4, 5, 0, 4], [4, 5, 1, 4], [4, 5, 2, 4], [4, 5, 3, 4], [4, 5, 6, 4], [4, 5, 7, 4], [4, 5, 8, 4], [4, 5, 9, 4], [4, 6, 0, 4], [4, 6, 1, 4], [4, 6, 2, 4], [4, 6, 3, 4], [4, 6, 5, 4], [4, 6, 7, 4], [4, 6, 8, 4], [4, 6, 9, 4], [4, 7, 0, 4], [4, 7, 1, 4], [4, 7, 2, 4], [4, 7, 3, 4], [4, 7, 5, 4], [4, 7, 6, 4], [4, 7, 8, 4], [4, 7, 9, 4], [4, 8, 0, 4], [4, 8, 1, 4], [4, 8, 2, 4], [4, 8, 3, 4], [4, 8, 5, 4], [4, 8, 6, 4], [4, 8, 7, 4], [4, 8, 9, 4], [4, 9, 0, 4], [4, 9, 1, 4], [4, 9, 2, 4], [4, 9, 3, 4], [4, 9, 5, 4], [4, 9, 6, 4], [4, 9, 7, 4], [4, 9, 8, 4], [5, 0, 1, 5], [5, 0, 2, 5], [5, 0, 3, 5], [5, 0, 4, 5], [5, 0, 6, 5], [5, 0, 7, 5], [5, 0, 8, 5], [5, 0, 9, 5], [5, 1, 0, 5], [5, 1, 2, 5], [5, 1, 3, 5], [5, 1, 4, 5], [5, 1, 6, 5], [5, 1, 7, 5], [5, 1, 8, 5], [5, 1, 9, 5], [5, 2, 0, 5], [5, 2, 1, 5], [5, 2, 3, 5], [5, 2, 4, 5], [5, 2, 6, 5], [5, 2, 7, 5], [5, 2, 8, 5], [5, 2, 9, 5], [5, 3, 0, 5], [5, 3, 1, 5], [5, 3, 2, 5], [5, 3, 4, 5], [5, 3, 6, 5], [5, 3, 7, 5], [5, 3, 8, 5], [5, 3, 9, 5], [5, 4, 0, 5], [5, 4, 1, 5], [5, 4, 2, 5], [5, 4, 3, 5], [5, 4, 6, 5], [5, 4, 7, 5], [5, 4, 8, 5], [5, 4, 9, 5], [5, 6, 0, 5], [5, 6, 1, 5], [5, 6, 2, 5], [5, 6, 3, 5], [5, 6, 4, 5], [5, 6, 7, 5], [5, 6, 8, 5], [5, 6, 9, 5], [5, 7, 0, 5], [5, 7, 1, 5], [5, 7, 2, 5], [5, 7, 3, 5], [5, 7, 4, 5], [5, 7, 6, 5], [5, 7, 8, 5], [5, 7, 9, 5], [5, 8, 0, 5], [5, 8, 1, 5], [5, 8, 2, 5], [5, 8, 3, 5], [5, 8, 4, 5], [5, 8, 6, 5], [5, 8, 7, 5], [5, 8, 9, 5], [5, 9, 0, 5], [5, 9, 1, 5], [5, 9, 2, 5], [5, 9, 3, 5], [5, 9, 4, 5], [5, 9, 6, 5], [5, 9, 7, 5], [5, 9, 8, 5], [6, 0, 1, 6], [6, 0, 2, 6], [6, 0, 3, 6], [6, 0, 4, 6], [6, 0, 5, 6], [6, 0, 7, 6], [6, 0, 8, 6], [6, 0, 9, 6], [6, 1, 0, 6], [6, 1, 2, 6], [6, 1, 3, 6], [6, 1, 4, 6], [6, 1, 5, 6], [6, 1, 7, 6], [6, 1, 8, 6], [6, 1, 9, 6], [6, 2, 0, 6], [6, 2, 1, 6], [6, 2, 3, 6], [6, 2, 4, 6], [6, 2, 5, 6], [6, 2, 7, 6], [6, 2, 8, 6], [6, 2, 9, 6], [6, 3, 0, 6], [6, 3, 1, 6], [6, 3, 2, 6], [6, 3, 4, 6], [6, 3, 5, 6], [6, 3, 7, 6], [6, 3, 8, 6], [6, 3, 9, 6], [6, 4, 0, 6], [6, 4, 1, 6], [6, 4, 2, 6], [6, 4, 3, 6], [6, 4, 5, 6], [6, 4, 7, 6], [6, 4, 8, 6], [6, 4, 9, 6], [6, 5, 0, 6], [6, 5, 1, 6], [6, 5, 2, 6], [6, 5, 3, 6], [6, 5, 4, 6], [6, 5, 7, 6], [6, 5, 8, 6], [6, 5, 9, 6], [6, 7, 0, 6], [6, 7, 1, 6], [6, 7, 2, 6], [6, 7, 3, 6], [6, 7, 4, 6], [6, 7, 5, 6], [6, 7, 8, 6], [6, 7, 9, 6], [6, 8, 0, 6], [6, 8, 1, 6], [6, 8, 2, 6], [6, 8, 3, 6], [6, 8, 4, 6], [6, 8, 5, 6], [6, 8, 7, 6], [6, 8, 9, 6], [6, 9, 0, 6], [6, 9, 1, 6], [6, 9, 2, 6], [6, 9, 3, 6], [6, 9, 4, 6], [6, 9, 5, 6], [6, 9, 7, 6], [6, 9, 8, 6], [7, 0, 1, 7], [7, 0, 2, 7], [7, 0, 3, 7], [7, 0, 4, 7], [7, 0, 5, 7], [7, 0, 6, 7], [7, 0, 8, 7], [7, 0, 9, 7], [7, 1, 0, 7], [7, 1, 2, 7], [7, 1, 3, 7], [7, 1, 4, 7], [7, 1, 5, 7], [7, 1, 6, 7], [7, 1, 8, 7], [7, 1, 9, 7], [7, 2, 0, 7], [7, 2, 1, 7], [7, 2, 3, 7], [7, 2, 4, 7], [7, 2, 5, 7], [7, 2, 6, 7], [7, 2, 8, 7], [7, 2, 9, 7], [7, 3, 0, 7], [7, 3, 1, 7], [7, 3, 2, 7], [7, 3, 4, 7], [7, 3, 5, 7], [7, 3, 6, 7], [7, 3, 8, 7], [7, 3, 9, 7], [7, 4, 0, 7], [7, 4, 1, 7], [7, 4, 2, 7], [7, 4, 3, 7], [7, 4, 5, 7], [7, 4, 6, 7], [7, 4, 8, 7], [7, 4, 9, 7], [7, 5, 0, 7], [7, 5, 1, 7], [7, 5, 2, 7], [7, 5, 3, 7], [7, 5, 4, 7], [7, 5, 6, 7], [7, 5, 8, 7], [7, 5, 9, 7], [7, 6, 0, 7], [7, 6, 1, 7], [7, 6, 2, 7], [7, 6, 3, 7], [7, 6, 4, 7], [7, 6, 5, 7], [7, 6, 8, 7], [7, 6, 9, 7], [7, 8, 0, 7], [7, 8, 1, 7], [7, 8, 2, 7], [7, 8, 3, 7], [7, 8, 4, 7], [7, 8, 5, 7], [7, 8, 6, 7], [7, 8, 9, 7], [7, 9, 0, 7], [7, 9, 1, 7], [7, 9, 2, 7], [7, 9, 3, 7], [7, 9, 4, 7], [7, 9, 5, 7], [7, 9, 6, 7], [7, 9, 8, 7], [8, 0, 1, 8], [8, 0, 2, 8], [8, 0, 3, 8], [8, 0, 4, 8], [8, 0, 5, 8], [8, 0, 6, 8], [8, 0, 7, 8], [8, 0, 9, 8], [8, 1, 0, 8], [8, 1, 2, 8], [8, 1, 3, 8], [8, 1, 4, 8], [8, 1, 5, 8], [8, 1, 6, 8], [8, 1, 7, 8], [8, 1, 9, 8], [8, 2, 0, 8], [8, 2, 1, 8], [8, 2, 3, 8], [8, 2, 4, 8], [8, 2, 5, 8], [8, 2, 6, 8], [8, 2, 7, 8], [8, 2, 9, 8], [8, 3, 0, 8], [8, 3, 1, 8], [8, 3, 2, 8], [8, 3, 4, 8], [8, 3, 5, 8], [8, 3, 6, 8], [8, 3, 7, 8], [8, 3, 9, 8], [8, 4, 0, 8], [8, 4, 1, 8], [8, 4, 2, 8], [8, 4, 3, 8], [8, 4, 5, 8], [8, 4, 6, 8], [8, 4, 7, 8], [8, 4, 9, 8], [8, 5, 0, 8], [8, 5, 1, 8], [8, 5, 2, 8], [8, 5, 3, 8], [8, 5, 4, 8], [8, 5, 6, 8], [8, 5, 7, 8], [8, 5, 9, 8], [8, 6, 0, 8], [8, 6, 1, 8], [8, 6, 2, 8], [8, 6, 3, 8], [8, 6, 4, 8], [8, 6, 5, 8], [8, 6, 7, 8], [8, 6, 9, 8], [8, 7, 0, 8], [8, 7, 1, 8], [8, 7, 2, 8], [8, 7, 3, 8], [8, 7, 4, 8], [8, 7, 5, 8], [8, 7, 6, 8], [8, 7, 9, 8], [8, 9, 0, 8], [8, 9, 1, 8], [8, 9, 2, 8], [8, 9, 3, 8], [8, 9, 4, 8], [8, 9, 5, 8], [8, 9, 6, 8], [8, 9, 7, 8], [9, 0, 1, 9], [9, 0, 2, 9], [9, 0, 3, 9], [9, 0, 4, 9], [9, 0, 5, 9], [9, 0, 6, 9], [9, 0, 7, 9], [9, 0, 8, 9], [9, 1, 0, 9], [9, 1, 2, 9], [9, 1, 3, 9], [9, 1, 4, 9], [9, 1, 5, 9], [9, 1, 6, 9], [9, 1, 7, 9], [9, 1, 8, 9], [9, 2, 0, 9], [9, 2, 1, 9], [9, 2, 3, 9], [9, 2, 4, 9], [9, 2, 5, 9], [9, 2, 6, 9], [9, 2, 7, 9], [9, 2, 8, 9], [9, 3, 0, 9], [9, 3, 1, 9], [9, 3, 2, 9], [9, 3, 4, 9], [9, 3, 5, 9], [9, 3, 6, 9], [9, 3, 7, 9], [9, 3, 8, 9], [9, 4, 0, 9], [9, 4, 1, 9], [9, 4, 2, 9], [9, 4, 3, 9], [9, 4, 5, 9], [9, 4, 6, 9], [9, 4, 7, 9], [9, 4, 8, 9], [9, 5, 0, 9], [9, 5, 1, 9], [9, 5, 2, 9], [9, 5, 3, 9], [9, 5, 4, 9], [9, 5, 6, 9], [9, 5, 7, 9], [9, 5, 8, 9], [9, 6, 0, 9], [9, 6, 1, 9], [9, 6, 2, 9], [9, 6, 3, 9], [9, 6, 4, 9], [9, 6, 5, 9], [9, 6, 7, 9], [9, 6, 8, 9], [9, 7, 0, 9], [9, 7, 1, 9], [9, 7, 2, 9], [9, 7, 3, 9], [9, 7, 4, 9], [9, 7, 5, 9], [9, 7, 6, 9], [9, 7, 8, 9], [9, 8, 0, 9], [9, 8, 1, 9], [9, 8, 2, 9], [9, 8, 3, 9], [9, 8, 4, 9], [9, 8, 5, 9], [9, 8, 6, 9], [9, 8, 7, 9]]
108.00s user 0.90s system 99% cpu 1:49.73 total

Accepts a pattern in the format [1,2,2,3].

⁵Œ!’        All permutations of [0..9].
     ³ịⱮ    For each such permutation, use the input as index vector:
              e.g. for input [1,2,2,3], turn 3862149075 into 3886.
        Q   Eliminate duplicates.

Answer 2

Factor + math.combinatorics, 50 bytes

[ 10 iota [ nths ] with map-permutations members ]

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Port of @Lynn's Jelly answer.

• 10 iota The digits from 0 to 9.
• [ ... ] with Include the input in a quotation.
• [ nths ] map-permutations Map the permutations of 0-9 to the indices given by the input.
• members Remove duplicates.

Answer 3

Python 3, 86 bytes

lambda*r:{eval('x[%d],'*4%r)for x in permutations(range(10),5)}
from itertools import*

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Fix and -3 thanks to @dingledooper

-2 thanks to @tsh

(f() outputs unsorted list, so footer code is added to display sorted and joined by newlines)

Very fast. Fixed time complexity of \$O(120960) = O(10P5×4)\$, it could be \$6×\$ faster if we could take input numbers decremented by 1.

Answer 4

J, ^{27 24} 23 bytes

(-:&="1#])&(>,{4$<i.10)

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• (>,{4$<i.10) Generates all 10K pins.

• -:&="1#] Filter those by equality to the input after transforming both by "Self Classify" =. Self classify gives a boolean signature for each unique member of a list, thereby encoding the "mask" that we're trying to match. Eg, = 'AABC' returns:

  1 1 0 0
  0 0 1 0
  0 0 0 1 
  

bonus

[:~.]{"1(i.@!A.i.)@10 for 21 bytes using Lynn's clever approach. Executes decently fast.

Answer 5

Vyxal, 8 bytes

9ʀṖƛ?İ;U

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Will time out. (But work in theory, because taking 0..n (n<9) permutations finish properly in time)

9ʀṖ                     # 0..9 permutations
       ƛ                  # For each
             ?İ          #  Index with input
                ;U      # Close and remove duplicates

Answer 6

R >= 4.1 plus gtools, 41 bytes

\(x)gtools::permutations(10,max(x))[,x]-1

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A function that takes a vector of integers and returns a matrix with the PINs in rows and the digits in columns. It would be nice to have a base R equivalent of combn for permutations.

Thanks to @Mark for pointing out the flaw in my previous answer which did permutations with replacement rather than without.

Answer 7

Jelly, 11 bytes

Ġ⁵ṗ4¤ĠṢ⁼ɗƇ’

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Works equally well when given a list of digits ([1, 2, 3, 4]) or a string ("ABCD").

How it works

Ġ⁵ṗ4¤ĠṢ⁼ɗƇ’    Monadic link. Left arg: PIN pattern
Ġ              Group indices by identical values
               (which gives the pattern to filter the combinations for)
 ⁵ṗ4¤ĠṢ⁼ɗƇ     Monad-dyad pair:
 ⁵ṗ4¤          Create a list of 4-digit combinations using 1-10
         Ƈ     Filter from the above list by:
     ĠṢ⁼ɗ        Is the list of sorted groups identical to the input's?
          ’    Decrement to get a list of 0-9 combinations

Answer 8

Jelly (fork), 8 bytes

9Żṗ4Qi$Ƙ

Try it online! (my original Jelly answer)

Didn't take long for Lynn to outgolf my original Jelly answer, so I thought I'd show my approach, using my fork because ⁼¥Ƈ annoys me.

How it works

9Żṗ4Qi$Ƙ - Main link. Takes [a,b,c,d] on the left
9Ż       - Zero-range of 9; Yield [0,1,2,3,4,5,6,7,8,9]
  ṗ4     - Fourth cartesian power; All length-4 lists with elements from that range
      $Ƙ - Keep those elements [x,y,z,w] for which the following equals [a,b,c,d]:
    Q    -   Unique elements
     i   -   Their indices in [x,y,z,w]

In this case, i in my fork has been modified so that using it on flat lists is equivalent to iⱮ, as otherwise it outputs 0 (not found): Try it online! Additionally, Ƙ has been added to supplant ⁼¥Ƈ as it gets used a lot.

Answer 9

05AB1E, 8 bytes

9Ýœε¹è}Ù

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-2 Thanks to @ovs

Answer 10

Japt, 10 bytes

Input is an array of integers 1-4. Output is an array of integer arrays. Careful running this one; even with all 4 input integers the same, it takes about 10.5 seconds to complete.

Ao á mgU â

Try it (Limits the lengths of the permutations to 4)

Ao á mgU â     :Implicit input of array U
A              :10
 o             :Range [0,A)
   á           :Permutations
     m         :Map
      gU       :  Get elements at 0-based indices in U
         â     :Deduplicate

Answer 11

Jelly, 8 bytes

Ṁ⁵œ!’ị@€

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Another Jelly 8-byter. This works similarly to my R answer, and completes quickly on TIO.

Ṁ        | Max
 ⁵œ!     | Permutations of (10, max(x))
    ’    | Decrease by 1
     ị@€ | Index original argument into each permutation

Answer 12

Google Sheets, 366 354 352 301 203 189

Ending parens discounted.

Setup

• Input: A1, (any format)

• A2: Cache every relevant character comparison result

  =ArrayFormula(MID(A1,{1;2;3},1)=MID(A1,{2,3,4},1))
  

• E1:

  =SEQUENCE(1e4,1,)
  

• Set Column E to format all 4 digits. (Custom format 0000. We'll add +4 for this)

• F1: Split digits into columns

  =ArrayFormula(MID(E:E,{1,2,3,4},1))
  

• J1 (result):

  =FILTER(E:E,(F:F=G:G=A2)*(F:F=H:H=B2)*(F:F=I:I=C2)*(G:G=H:H=B3)*(G:G=I:I=C3)*(H:H=I:I=C4))
  

Notes

• At a high level, it enumerates all possible PINs with SEQUENCE, then applies several filter conditions to remove unwanted result.
• Each filter condition checks PINs that either both match or both don't match in the corresponding places (= is like XNOR in that regard)
• * acts like and AND

Answer 13

JavaScript (V8), 87 bytes

Expects a pattern made of non-digit characters. Prints the results.

f=(s,m=/\D/.exec(s),g=n=>n--&&g(n,s.match(n)||f(s.split(m).join(n))))=>m?g(10):print(s)

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---

JavaScript (ES10), 100 bytes

Expects a pattern made of 1, 2, 3, 4. Returns an array of strings.

s=>[...Array(x=1e4)].flatMap(_=>(S=`${x++}`.slice(-4)).replace(o=/./g,c=>o[c]=o[c]||++n,n=0)^s?[]:S)

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Answer 14

JavaScript (browser), 83 bytes

p=>{for(i=1e5;i++<2e5;)/.(.).*\1/.test(i+=n='')?0:p[p.map(v=>n+=i[v])]??=+alert(n)}

f =

p=>{for(i=1e5;i++<2e5;)/.(.).*\1/.test(i+=n='')?0:p[p.map(v=>n+=i[v])]??=+alert(n)}

alert = s => output.textContent += s + '\n'

f([1,1,1,1])
alert('----')
f([1,1,1,2])

<output id=output style=white-space:pre></output>

Input an array of 4 numbers, each number in range 1 to 4, f([1, 2, 3, 4]) for example.

Answer 15

Charcoal, 29 bytes

ＥΦＥＸχ⊕⌈θ⭆◧Ｉι⊕⌈θΣλ⬤ι⁼¹№ιλ⭆θ§ιλ

Try it online! Link is to verbose version of code. Takes input as a list of 0-indexed digits. Explanation:

    χ                           Predefined variable 10
   Ｘ                            Raised to power
       θ                        Input array
      ⌈                         Maximum
     ⊕                          Incremented
  Ｅ                             Map over implicit range
            ι                    Current value
           Ｉ                     Cast to string
          ◧                      Left padded to length
               θ                 Input array
              ⌈                  Maximum
             ⊕                   Incremented
         ⭆                       Map over characters and join
                 λ               Current character
                Σ                Numeric value or 0 for space
 Φ                               Filtered where
                   ι             Current string
                  ⬤              All digits satisfy
                      №          Count of
                        λ        Current digit
                       ι         In current string
                    ⁼            Is equal to
                     ¹           Literal `1`
Ｅ                                Map over strings
                          θ      Input array
                         ⭆       Map over values and join
                            ι    Current string
                           §     Indexed by
                             λ   Current value
                                 Implicitly print

Answer 16

PHP, 128 bytes

for(;$n<1e4;){$s=sprintf('%04d',$n++);$m='';$l=A;$v=[];for($d=0;$d<4;)$m.=$v[$g=$s[$d++]]??$v[$g]=$l++;$m==$argn&&print($s.~_);}

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Answer 17

Pyth, 8 bytes

Two solutions:

{@LRQ.pT
{[email protected]

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Standard method - index into permutations of [0, 1, ..., 9].

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Reverse the order of indexing - generate separate lists of all 0th, 1st, etc. elements of the permutations, then transpose.

Answer 18

Python 3.8 (pre-release), 87 85 bytes

-2 thanks to @ovs

lambda s:[c for i in range(10000)if len({*s})==len({*zip(s,c:='%04i'%i)})==len({*c})]

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Answer 19

Perl 5, 107 bytes

sub{my%s;my$r;$r.=$s{$_}++?"\\$_":'((?!'.join('|',map"\\$_",1..keys%s).')\d)'for@_;grep/$r/,'0000'..'9999'}

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