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Input
- A list of between 1 and 255 positive integers (inclusive), each in the range 1 to 232 - 1 (inclusive).
- Your input format does not need to be identical to the test cases.
- Input without leading zeroes is required to be accepted.
- Input with leading zeroes is not required to be accepted.
- You may use whatever delimiter you wish between the integers.
- An integer may be represented by a string but the individual digits of a specific integer must be contiguous.
- You may choose to use any base for the input (including binary and unary), provided the output is also in that base.
Output
- A single integer.
- The output must have no leading zeroes.
- The output must be in the same base as the input.
- The output can be calculated in whatever way you wish but must match the result of the following calculation:
Calculating biplex
- The bits of a binary representation are numbered from the right starting from zero, so bit i is in the column representing 2i.
- The i th bitsum is the sum of the i th bits of the binary representations of each of the input numbers.
- The bitsum maximum is the highest value taken by the bitsums.
- The bitsum minimum is the lowest non-zero value taken by the bitsums.
- The i th digit of the binary representation of the output is:
- 1 if the i th bitsum is equal to the bitsum maximum or the bitsum minimum.
- 0 otherwise.
Worked example
This example uses binary for input and output.
Input: 100110
1101110
1100101
_______
Bitsums: 2301321
Output: 101101
The bitsum maximum is 3 and the bitsum minimum is 1, so the output has 1s everywhere that the bitsum is 3 or 1, and 0s everywhere else.
Test cases
Test cases are in the form:
Input => Output
The test cases in binary:
[1] => 1
[10] => 10
[1, 10, 101] => 111
[11111111111111111111111111111111] => 11111111111111111111111111111111
[10010010010010010010010010010010, 10101010101010101010101010101010, 11011011011011011011011011011011] => 11100011100011100011100011100011
[10001011100010100110100101001001, 10110000111110010000111110111010, 1101110001101101011010010100101, 1010101010001011101001001010101] => 11
The same test cases in decimal:
[1] => 1
[2] => 2
[1, 2, 5] => 7
[4294967295] => 4294967295
[2454267026, 2863311530, 3681400539] => 3817748707
[2341103945, 2969112506, 1849078949, 1430639189] => 3
Leaderboard
Thanks to Martin's Leaderboard Snippet
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The operator was named biplex, short for binary plane extrema, following discussion in chat.
Can we require the input to be in binary, as in the example? – feersum – 2015-11-03T13:52:36.717
1@feersum
You may choose to use any base for input and output (including binary and unary), provided they are both in the same base
. So yes, go for it :) – trichoplax – 2015-11-03T14:02:03.137Can we use notation like [[1,0,1],[1,1,0,0],[1,0,0,1]]? – Akangka – 2015-11-04T10:28:48.067
Probably not. Assume the most restrictive one. – Akangka – 2015-11-04T10:35:25.037
@ChristianIrwan The input should be in the form of integers (each made up of contiguous digits). An integer can be represented as a string but there should be no separators between the digits. – trichoplax – 2015-11-04T10:43:32.400
@trichoplax But you say you can input in binary, right? – Akangka – 2015-11-04T10:53:10.583
@ChristianIrwan yes, provided the output is in the same base as the input. – trichoplax – 2015-11-04T11:09:02.200