Auto Tic Tac Toe

Okay, so after thinking about the comment I think I thought of a way to make it more interesting.

Challenge

Given no input, write a program or function which outputs an entire game of Tic-Tac-Toe where X always wins, or the game ends in a tie.

Requirements

• X goes first
• O must make moves at random
• X must make smart moves such that it always wins the game, or the game ends in a tie

Example

Here's what I would expect a game to look like:

X-- --- --- XO- --- --- XO- -X- --- XOO -X- --- XOO -X- --X 

Notes:

• X does not need to win in the fewest moves, it is enough to just make it always block O from winning
• You can output the game in whatever form you like, as long as it is easily conveys every turn of the game. For example you could output a string like above, or a list of lists of ints like below, where 0 is an empty space and 1, 2 are X, O respectively:

[ [1,0,0, 0,0,0, 0,0,0], [1,2,0, 0,0,0, 0,0,0], [1,2,0, 0,1,0, 0,0,0], [1,2,2, 0,1,0, 0,0,0], [1,2,2, 0,1,0, 0,0,1] ] 

This is code golf, answer in the fewest bytes wins. Standard rules apply.

Is this a better challenge? I'd love to know what people think

Working example of ungolfed code: Try it online!

Compute the Pareto frontier

Given a set of triplets, output its Pareto frontier.

Definitions

A triplet is a list of 3 positive integers, for example [120, 15, 21] (order matters).

A triplet [A, B, C] is objectively worse than [a, b, c] when A >= a, B >= b, and C >= c (lower is better).

A triplet is on the Pareto frontier when it's not objectively worse than any other triplet in the input.

I/O rules

Input and output are both a set of triplets. Each triplet must be represented as either a list of integers ([1, 2, 3]) or a /-delimited string ("1/2/3"). The format of the outer sets is flexible (built-in set type, list, or delimited string are all okay).

Test cases

[[1, 1, 1], [2, 2, 2]] => [[1, 1, 1]] [[3, 3, 1], [3, 1, 3], [1, 3, 3], [2, 2, 2]] => [[3, 3, 1], [3, 1, 3], [1, 3, 3], [2, 2, 2]] ... (more to come) ... 

A similar challenge was posted here but that's outdated and I have a few twists.

Challenge

Write a program, expression or subroutine which, given an arithmetical expression in infix notation, like 1 + 2, outputs the same expression in postfix notation except the numbers are now float representative in the string, i.e. 1.0 2.0 +.

The input can include parentheses (()), exponents (^), division (/) and multiplication (*), addition (+) and subtraction (-) (in that order of operation), such as

4 ^ (2 / 3) * 9 * 3 - - 4 * 6

output the same expression in prefix notation.

4.0 2.0 3.0 / ^ 9.0 * 3.0 * -4.0 6.0 * -

Spaces are optional in the input as well as the output.

Twists

• Must support using floats too, instead of just integers. so 4 ^ (2.0/3.0) * 9.0 * 3.0 - - 4 *6 output's is the same as the ones above.
• Must return a string with all numbers as its float representative instead of as its original form, so 9 -> 9.0 and if it was 9.0 it stays 9.0.
• Must support negation (see example above "3.0 - - 4" ends up with "-4.0", negative sign stays in place).
• Cannot use exec() or eval() functions.

Assumptions

• You can assume that there will not be any special numbers such as those in scientific notation or those with hanging zeroes, e.g. 000004 or 0005.000000.
• You should also not assume the commutative or associative properties. This means that, while the operators will move around, the numbers will always remain in the same order.
• You can always assume a valid infix input.

Clarifications

• You should not evaluate any expression.
• The output should not contain any unneeded parentheses. ((2+1))-1 should reduce to 2+1-1.

Game Winning Criteria

Fewest amount of characters wins. Bytes are not of a matter here.

Dilapidated art gallery problem

code-golf ascii-art

In a typical art gallery problem, the objective is to place as few guards as necessary inside an arbitrary polygon so that all of it is visible by some guard. This time, we'll make some changes to simplify the task:

• The gallery can only afford to pay one guard. No more. This means that it won't be possible to keep everything in sight, so the objective becomes to maximize the amount of art visible.
• Not even a dilapidated art gallery is barbaric enough to put art on the floor, and they don't have enough money to afford pedestals, so we only care about how much wall area is visible.
• Since the art gallery doesn't even have a roof, the whole floor is visible anyways. If you are wondering how the guard manages to hover high above the gallery - he doesn't. He has a telescopic camera tied to a weather balloon. There. Problem solved. Therefore, what counts for visibility isn't occlusion. The only thing that matters is that the walls are facing the right way.
• You can assume the floor plan is a (not necessarily connected) union of rectangles. I was thinking about including diagonal walls, but this version fits better with the theme. Any internal walls have a definite thickness. If they didn't, you could just ignore them, and that's no good.
• The guard doesn't have to be inside the gallery. They can sit outside, or even lean against the walls. You, however, cannot place the guard with infinite precision. If you try to align the guard with one of the walls, they will be displaced infinitesimally in one direction chosen with uniform probability. But yes, you can try.

The input will consists of the following characters:

• The space character represents 1m x 1m of empty space. It's up to you to decide if it's inside the gallery, or outside. You may assume that the input encodes a rectangular area that includes all of the gallery floor and that all of the walls are depicted.
• - and | represent 1m x 1m squares with walls (east-west and north-south respectively) passing through their centers. Each wall will be adjoined by either the same type of wall or a corner in its lengthwise direction, and empty space in its transverse direction.
• + Represents a corner. Each corner will be adjoined by an east-west wall either on its east side or on its west side, but not both, and by a north-south wall either on its north side or its south side, but not both, and by empty space on the remaining two sides, and in all four diagonally neighboring tiles.

Your objective is to determine and mark all guard locations - tile centers - that maximize the number of wall segments viewed from the correct side - empty space should be marked with . and wall tiles should be marked with #.
In the event that none of the optimal spots align with tile centers, do not mark any tile as optimal. It is the user's responsibility to provide a more detailed floor plan. You may optionally display an error message in that case. If you choose so, the error message must be: displayed in every situation in which no optimal tile would have been marked; same for every input that causes it to be shown; includes at one character not allowed in any valid output.

Example cases:

+----+ +----+ | | |....| | | => |....| | | |....| +----+ +----+ 

The guard can be anywhere inside the gallery, but they can't lean against the wall because they might suddenly find themself on the other side of that wall unexpectedly.

+---+ +---+ | | | | . +---+ +-+ +---+ +-+ | | => | | | | | | | | | | +-+ +-+ 

In this case, the gallery consists of two separate buildings, and the guard's best spot lies outside either of them.

+---+ | | | +-+ => error +-+ | | | +---+ 

In this case, there is a 1m x 2m area in which the guard can see all of the walls, but there's no way to depict that in the output. You may pass the input unmodified, or you may output an error message.

+-----+ +-----+ | | |. .| | +-+ | | +-+ | | | | | => | | | | | +-+ | | +-+ | | | |. .| +-----+ +-----+ 

This art gallery has a courtyard. Two inner walls must be left unprotected, but it doesn't matter which ones.

 +-+ +-+ | | .#.#... +-+ +-+ .###.##+ | | .....#.| +-+ +-+ => +##...##+ | | |.#..... +-+ +-+ +##.###. | | ...#.#. +-+ +-+ 

For every wall but four, there is another wall such that exactly one of the two can be seen at any given time. As long as the other four walls are guarded, the number of walls guarded is maximized. This is also one of the rare cases where the guard can lean against a wall - if they fall through, they'll wind up guarding another wall instead.

+-------------+ 

This is not an art gallery. It's a fence with no inside or outside. Invalid input.

+---+-+---+ + | | | | | | | | | + +---+-+---+ 

You might think this depicts two rooms with an internal wall, or three rooms with two internal walls - either way, internal walls are banned. Also, fences are banned. Invalid input.

+---+ +--+ +-+ | | | ++| | | +-+ |+-+ +---------+ 

This building has a clear interior and exterior, but the southern corridor is too narrow, the dent in the north-east corner is too jagged to leave enough room for art, and the nearby closet is too close to the main building. Each of these reasons suffices to make this an invalid input.

|---------+ | +-+ | | *a k | | ei 32A | +-+++-+--++ 

There's a gap in the northwest corner, debris all over the floor, and the southern wall has exposed scaffolding. All wrong.

For How Long am I Alone? code-golf

Task

You are a factory worker, whose shift is from time X to time Y. It's a very boring job, and you want to know if any other workers are working during your shift. Given a list of start and end times for the other workers and your own shift time, output the longest amount of time that you are the only one working in the factory.

Input

List of start and end times. Any reasonable format is allowed, such as a list of tuples representing (startHour, startMinutes, endHour, endMinutes) or a list of date objects.

A pair of times, which represent your own start and end times. These may be received as a tuple/list or as separate arguments. Again, the times can be passed as a tuple, date objects, or two object array representing (hour, minutes), or you can pass the hours and minutes as separate arguments.

Each person starts working precisely at their start time and gets off work right when the end time starts. For example, if someone is working from 8:00 to 17:00, at 17:00 they are not considered to be at work anymore.

Each person does his shift 7 days a week.

If you choose to use date objects, the "Year" field of the date objects must always be the same across all inputs.

Note that the end time of your shift can look like it's earlier than your start time, e.g. 21:30 - 5:30. This means that your shift starts at 21:30 at the first day and ends at 5:30 on the next day.

Output

The longest interval in minutes in which you are the only one working in the factory.

Test Cases

In the form of [(hh:mm,hh:mm)...], hh:mm, hh:mm

[(3:30, 12:00), (13:00, 21:40)], (8:30), (16:30) -> 60 [(1:01, 1:03), (1:04, 1:06), (1:07, 1:10)], (1:00), (1:10) -> 1 [(21:00, 5:00), (22:30, 7:00)], (0:00), (4:00) -> 0 

Questions

Should I keep the part about the shift being able to stretch across midnight?

Is the input specification clear enough?

Any suggestions welcome.

Ordinal to Cardinal

Given a positive integer represented as the English spelling of an ordinal number, return the equivalent cardinal number.

Rules

• Where an integer requires multiple words to spell, only the last word changes.

• The following integers are strongly irregular:

  • "one" becomes "first"
  • "two" becomes "second"
  • "three" becomes "third"

• Other integers take a suffix of "th", however there are a few integers that are weakly irregular:

  • "five" becomes "fif(th)"
  • "eight" becomes "eigh(th)"
  • "nine" becomes "nin(th)"
  • "twelve" becomes "twelf(th)"
  • "twenty" to "ninety" become "twentie(th)" to "ninetie(th)".

• The input can be assumed to be the English spelling of an ordinal number that follows the above rules to transform it into the equivalent cardinal number.

Examples

• "one hundred and nineteen" becomes "one hundred and nineteenth"
• "one hundred and twenty" becomes "one hundred and twentieth"
• "one hundred and twenty one" becomes "one hundred and twenty first"

This is code-golf, so the shortest program or function that breaks no standard loopholes wins!

Mom-rounding the time code-golf time arithmetic integer

Context

Growing up with my mother, whenever she looked at a clock to check the time, she would always say "shoot, it's already X!" and then I would look at the clock and realize she was just rounding the time in a really weird way.

Task

Given a time with hours and minutes, round it like my mom would. Rounding always occurs upwards. Say it is currently H hours and M minutes.

• if M is 0, no rounding occurs; my mom isn't that crazy;
• if M is 9 or less, my mom rounds to H:15;
• if M is 19 or less, my mom rounds to H:30;
• if M is 34 or less, my mom rounds to H:45;
• for any other value of M, my mom rounds to H+1:00.

Input

You will take a time that needs rounding, in any sensible format. ISO strings for date/time, two integers representing hours/numbers, a string with two integers and a separator; these are all fair game.

Output

The string "shoot, it's already X" with X replaced with the mom rounding time.

Scoring

This is code-golf so shortest answer wins. However, if your source code contains the substring shoot, it's already then you may subtract 19 from your score.

Test cases

Here is the program I use to generate the test cases.

11:00 -> shoot, it's already 11:00! 3:08 -> shoot, it's already 03:15! 1:09 -> shoot, it's already 01:15! 13:13 -> shoot, it's already 13:30! 2:35 -> shoot, it's already 03:00! 

How many Temtem can I breed?

Temtem is a monster-catching MMORPG. Within the game you have the ability to breed two Temtem to create an egg which then hatches into the baby of its mother. The ability to do this depends on several properties of the parent Temtem:

• A Temtem has a gender, which is either male or female. To breed, you need one Temtem of each gender.
• A Temtem has one or two types. A pair of Temtem can only breed if they have a type in common.
• A Temtem has a fertility which ranges from 0 to 8. Temtem with a fertitilty of 0 can no longer breed in captivity. The fertility of each parent decreases by 1 when they breed.

The resulting Temtem inherits some of its properties from its parents.

• The baby Temtem's gender is random. For the purposes of this question, this means that you can choose the gender, but you cannot change it later.
• The baby Temtem inherits its mother's type. (This is not strictly true but it is always possible to evolve the baby to give the mother's type if necessary.)
• The baby Temtem inherits the lesser of its parents' fertility.

Simple example:

• One female Temtem with fertility 3 and one male Temtem with fertility 2 of the same type.
• Breeding reduces their fertility to 2 and 1 and we choose the baby, which also has 1 fertility, to be male.
• The female can breed again with both males, at which point all the Temtem now have 0 fertility.
• This gives you a total of five Temtem.

You challenge is to write a program or function which accepts a list of Temtem and outputs the maximum number of Temtem it is possible to breed, assuming luck is on your side.

You can use any convenient input method for the Temtem, as long as it breaks no standard loopholes. For instance, you could use a string of three or four characters encoding the gender, fertility and type(s). (Your input method must be able to support 12 different types and 132 different pairs of types.)

You can output either the total number or the number of new Temtem, or you can also output the resulting list of Temtem in the order they were born.

This is code-golf, so the shortest program or function wins!

Word Grid Puzzle Iterator

code-golf

I commonly see an advert for a word-based game, where, by removing a word from a grid of letters, the remaining letters "collapse", horizontally and vertically, leading to further words being findable.

The challenge is to take in a grid of characters and a word as an input, and output the collapsed grid after that word has been removed.

Words in the grid could be oriented in any direction.

This is code-golf, usual exclusions apply.

Example

The following set of examples follow on from each other - so the output from the first example is the input to the second.

AIR

In:

N F A D S T I O I E N T A G R W O H R L I A H A S L E E W W 

Out: If the word "AIR" is removed, none of the rows or columns are empty and so the rest of the grid remains as-is:

N F D S T I O E N T A G W O H R L I A H A S L E E W W 

HAIL

If the word "HAIL" is removed, the letters in the 2nd-5th columns drop down one, making the word "SNOW" accessible:

N T I F D S T A O E N H R G W O A S L E E W W 

SNOW

If SNOW is removed, the columns collapse horizontally:

N T I F D T A O E H R G W A S L E E W 

THAW

If THAW is removed, the T drops down so that SLEET is now accessible:

N I F D A O E R G W S L E E T 

SLEET

Removing SLEET clears a row and a column, and so the grid collapses in both directions:

 N I F D A O E R G W 

RAIN, DEW, FOG

The remaining three vertical words (RAIN, DEW, FOG) can then be removed individually:

 F D O E G W 

 F O G 

Notes

In the above examples, I have not resized the arrays as the outside rows/columns are made empty; instead just leaving them blank (i.e. the final array is 6x5, as is the starting array). Your program may also do this, or it may resize the array to remove empty rows and columns if you prefer.

For example, assuming the input is a 1x5 array:

H A T C E removing HAT could become _ _ _ C E or CE, both are valid. (underscores represent spaces for formatting purposes)

Inputs and Outputs:

Any reasonable format is acceptable - arrays, strings, etc. But:

• you cannot assume that the orientation of the word to remove is the same as that in the input. e.g you won't get the input "LIAH" because the word HAIL is written right-to-left on the grid.
• the output must be the same format as the input (i.e. the program must accept the output from the previous iteration as the grid input to the next)
• You can assume the word will be in the grid, horizontally or vertically (not diagonally)
• Words will never contain spaces, only the letters A-Z; and if the word is found but with a space in it, then that doesn't count as matching the word
  • You can assume the case of the word will match the grid, in whatever case suits your language (UPPER, lower, camelCase, whatever)
• You can assume that the Input word will only appear once on the grid

Sandbox Questions

• Does this feel too much like multiple challenges (find the word, collapse the array)?

chaining couples with parity code-golf math integers array

Rules

Take the \$n\$ first integers (with 0 included or not) with \$n\$ an even number except 0.

The goal is to produce a (not so) random chain of couples with these numbers, for example with \$n=6\$ : (5, 4), (1, 6), (3, 2)

But you have to respect a bit of parity and randomness :

1. Each second number in a couple must have the same parity than the first number of the next couple. No rule for the first number of the first couple and the second number of the last couple. So the example above is not a correct answer.

(5, 4), (6, 1), (3, 2) is a correct answer for \$n=6\$.

So this is a sort of parity chain.

2. First number (of the first couple) has to be chosen randomly (uniform) in the \$n\$ first integers.

Input

An even number \$n\$ greater or equal than 2.

Valid output examples

• Input: \$n=2\$ Outputs (1, 2) and (2, 1) are valid. (0, 1) and (1,0) are also.

• Input: \$n=4\$ Output: (0, 1), (3, 2) (if start with 0) because 1 and 3 are odd

• Input: \$n=4\$ Output: (1, 4), (2, 3) (if start with 0)

• Input: \$n=6\$ Output: (0, 5), (1, 3), (4, 2)

• Input: \$n=8\$ Output: (6, 7), (1, 0), (2, 5), (3, 4)

Invalid output examples

• Input: \$n=4\$ Output:(1, 2), (3, 4) because 2 is even and 3 is odd.

• Input: \$n=6\$ Output:(5, 4), (1, 6), (3, 2) because 4 is even and 1 is odd and also because 6 is even and 3 is odd.

What if \$n\$ is odd?

No rule for \$n\$ if it's odd. All outputs accepted!

What about output's format?

No special formatting is expected. You just have to separate the couples such that one can correctly see them.

Sandbox Questions

Duplicate?

Rot1Rot3 code-golfstring

Write a program or function such that given a string \$ S \$, encode it with Rot1Rot3. To encode it, do the following:

1. Take \$ S\$ and partition it into blocks with \$ 3 \$ characters each. If it does not partition equally (i.e. \$ |S| \bmod 3 \neq 0 \$), take away some characters from the end of the string until it does, and form a smaller partition from the 'taken-away' characters.

2. For each individual partition, rotate it to the right by \$ 1 \$ step.

3. Finally, rotate all of the partitions together to the right by \$ 3 \$ steps, as if each partition were one character.

Example

Input: Hello, code golf!

1. Partition it like so: |Hel|lo,| co|de |gol|f!| (pipes to show separation). Notice that f! does not form a full partition, and is therefore left as a partition with \$ 2 \$ characters instead.

2. Rotate each individual partition to the right by \$ 1 \$ step: |lHe|,lo|o c| de|lgo|!f|.

3. Rotate the partitions as a whole to the right by \$ 3 \$ steps: | de|lgo|!f|lHe|,lo|o c|.

Final Output: delgo!flHe,loo c

Additional Info

• You can expect any sequence of any characters, as long as they are printable.
• This is code-golf, so the shortest code in bytes wins.

Test Cases

Input

Hello, code golf! flog yhcrana Rot1Rot3 abababa import this 1 21 All animals are equal, but some animals are more equal than others. 

Output

 delgo!flHe,loo c yg rhcaanofl tRoo1R3t aabbbaa torh tsipim 1 12 hotser.lAln aaim lsearq eluab, utmsoae mnisalr ame eorq eluah t an 

Check my Knight's Tour

Given as input an n-by-n matrix of integers, check that all integers from 1 to n² are present, and that all pairs of consecutive integers are exactly a Knight's move apart. (For instance, a 4-by-4 board with the values

1 2 1 2 2 1 2 1 1 2 1 2 2 1 2 1 

would meet the condition that all 1s would have a 2 that was exactly a Knight's move away, but this would of course not constitute a Knight's Tour.) The integers 1 and n² do NOT need to be a Knight's move apart. You must be able to support at least 7 different values for n including 10.

A Knight's move is possible between any two squares that are a Euclidean distance of √5 apart.

Output follows normal decision-problem rules.

This is code-golf, so the shortest program or function that breaks no standard loopholes wins!

How could these rep and scores have happened?

code-golf arithmetic integer

Challenge: Given a reputation score, a count of questions with accepted answers, and a list of net votes on questions, calculate a sequence of actions that could have produced them. To keep this simple, here's a few simplifications from how Stack Exchange actually works:

• The only things that change reputation are upvotes on questions (+10), downvotes on questions (-2), and accepting an answer to a question (+2).
• The daily cap of 200 never comes into play.
• Votes are never retracted and accepts are never rescinded.

The minimum possible reputation of 1 still applies. If there are multiple sequences of actions that can produce the given state, then your program/function should return the shortest possible sequence (or one of the shortest, if there's multiple that are tied for the shortest). If there are no sequences of actions that can produce the given state, consider that Undefined Behavior, so it doesn't matter what your program does.

Examples/test cases:

• A user has 1 reputation, hasn't accepted any answers, and has no questions. The shortest possible sequence is "".
• A user has 33 reputation, has accepted 1 answer, and has questions with scores 2 and 1. A shortest possible sequence is "upvote, upvote, upvote, accept".
• A user has 3 reputation, hasn't accepted any answers, and has a question with score -5. The shortest possible sequence is "downvote, downvote, upvote, downvote, downvote, downvote, downvote".

The standard restrictions against loopholes apply. I/O may be in any convenient format. Examples: For input, [101,0,4,3,2,1] or (101,0,[4,3,2,1]) could mean a user with 101 reputation, 0 questions with accepted answers, and questions with scores 4, 3, 2, and 1. For output, the string UDA could mean "upvote, downvote, accept".

This is code golf, so the shortest program/function wins.

Draw a Bracket

A bracket is a way of organizing a tournament as a tree structure. It follows several rounds of matches with half of the competitors being eliminated each round, until one competitor remains.

In this challenge you will be given as input a list of one digit \$(0-9)\$ integers as input representing competitors and you should output an ASCII representation of a bracket. The exact specifications are in the Output section of this challenge.

For example if the input is 1 2 3 4 5 6 7 8 then the output would be:

1 1 2 1 3 3 4 1 5 5 6 5 7 7 8 

In this challenge the lower number is always the winner in a matchup.

Input

The input will always be of length \$2^n\$ for some positive integer \$n\$, and will consist entirely of one digit numbers. You may take the integers as their representative characters instead if this pleases you.

Output

I will explain precisely how the output is created momentarily, it is a bit hard.

Scoring

This is code-golf the shortest answer in bytes wins.

The assignment logic may be used in a planning KoTH, in which a student bot chooses a full permutation from the classes and is awarded points from what preference they get.

Assign classes fairly and satisfyingly code-golfarray-manipulation

Background

In a school, students are signing up for after-school classes. However, the capacity of each class is limited. In order to facilitate class assignment, each student is required to fill in a questionnaire to show his/her preference to the classes by listing all classes in decreasing order of his/her interests.

You are assigned to help assigning classes to them. You want to maximally satisfy their preferences while being fair with the assignment. A student can be assigned with multiple classes.

Challenge

Write a program or function that receives the following input:

• a list of classes with the corresponding capacities; and
• a list of students with their corresponding preference lists,

and output or return either:

• a list of class with the list of students being assigned to that class; or
• a list of students with their assigned classes.

You may use any reasonable alternative format for both input and output, for example, apart from receiving two arrays, you may choose to receive two strings, and especially for the second input (which requires a 2-D array), you may even have an input like this (first level delimiter \n, second level delimiter space):

1 2 3 4 4 2 3 1 1 3 2 4 2 3 4 1 3 4 1 2 4 1 2 3 

To simplify the challenge, you may assume both classes and students are 0-indexed or 1-indexed. For the use of illustrating the requirements and samples, 1-indexing is used. You may also assume that each preference list is a full permutation of all classes.

The assignment requirements are as follows:

• Fairness: All students must have roughly the same amount of classes assigned to them, that is, for every \$1\le i\le\text{[Number of students]}\$, $$\left|{\text{[Number of classes assigned]}_i-\frac{\sum\text{[Class capacities]}}{\text{[Number of students]}}}\right|<1.$$
• Satisfaction: You should fulfill the preferences as well as possible. Specifically, you should fulfill as much first preferences as possible, then as much second preferences as possible, and so on. In case of having the same preference order, the classes should be assigned on first-come-first-served basis.

The fairness rule should be taken first if it conflicts with the satisfaction rule. Test case 3 is an example of handling such conflicts.

The program should terminate in finite time for all practical sizes of inputs.

Test cases

Test case 1

Input:

classes = [2, 2, 2, 2], students = [ [1, 2, 4, 3], [2, 4, 1, 3], [3, 4, 2, 1], [4, 3, 2, 1] ] 

Output:

classes = [ [1, 3], [2, 1], [3, 4], [4, 2] ], students = [ [1, 2], [2, 4], [3, 1], [4, 3] ] 

Explanation:

1. It is clear that all 1st priorities can be fulfilled because all of them are different. So each student gets his 1st priority.
2. Student 1 wants Class 2 as his 2nd priority, and Class 2 still has place for him. So he gets Class 2.
3. Student 2 wants Class 4 as his 2nd priority, and Class 4 still has place for him. So he gets Class 4.
4. Student 3 wants Class 4 as his 2nd priority, but Class 4 is already full. No place for him.
5. Student 4 wants Class 3 as his 2nd priority, and Class 3 still has place for him. So he gets Class 3.
6. Now each of the students except Student 3 has 2 classes already, so by the rule of fairness they are not considered in the subsequent assignments.
7. Only Class 1 has place for Student 3, so he gets his 4th priority.

Test case 2

Input:

classes = [2, 2, 2], students = [ [3, 1, 2], [2, 3, 1], [2, 3, 1], [3, 2, 1] ] 

Output:

classes = [ [1, 2], [2, 3], [1, 4] ], students = [ [3, 1], [2, 1], [2], [3] ] 

Explanation:

1. It is clear that all 1st priorities can be fulfilled because none of the classes was chosen by 3 or more students as their 1st priorities.
2. Student 1 wants Class 1 as his 2nd priority, and Class 1 still has place for him. So he gets Class 1.
3. Student 2 wants Class 3 as his 2nd priority, but Class 3 is already full. No place for him.
4. Student 3 wants Class 3 as his 2nd priority, but Class 3 is already full. No place for him.
5. Student 4 wants Class 2 as his 2nd priority, but Class 2 is already full. No place for him.
6. Now Student 1 has 2 classes already, so by the rule of fairness he is not considered in the subsequent assignments.
7. Student 2 wants Class 1 as his 3rd priority, and Class 1 still has place for him. So he gets Class 1.
8. All classes are already full, so no more seats can be assigned. Students 3 and 4 will only get 1 class each.

Test case 3

Input:

classes = [1, 1, 1, 2], students = [ [1, 2, 4, 3], [3, 4, 2, 1], [2, 4, 3, 1], [2, 4, 1, 3] ] 

Output:

classes = [ [1], [3], [2], [4, 2] ], students = [ [1], [3, 4], [2], [4] ] 

Explanation:

1. It is clear that all 1st priorities except for Student 4 can be fulfilled.
2. If we ignore Student 4 and proceed to the second round, Student 2 and 3 will occupy the remaining seats and Student 4 will not get a place (which is disallowed by the fairness rule), so the 2nd priority of Student 4 will be considered first. Since Class 4 still has place for him, he gets Class 4.
3. Student 1 wants Class 2 as his 2nd priority, but Class 2 is already full. No place for him.
4. Student 2 wants Class 4 as his 2rd priority, and Class 4 still has place for him. So he gets Class 4.
5. All classes are already full, so no more seats can be assigned. All students get 1 class each, except Student 2, who gets 2 classes.

Test case 4

Input:

classes = [1, 1, 1, 2], students = [ [1, 2, 4, 3], [3, 4, 2, 1], [2, 4, 3, 1], [2, 1, 3, 4] ] 

Output:

classes = [ [1], [4], [2], [2, 3] ], students = [ [1], [3, 4], [4], [2] ] 

Explanation:

1. It is clear that all 1st priorities except for Student 4 can be fulfilled.
2. If we ignore Student 4 and proceed to the second round, Student 2 and 3 will occupy the remaining seats and Student 4 will not get a place (which is disallowed by the fairness rule), so the 2nd priority of Student 4 will be considered first. However both Classes 1 and 3 are full, he can only get Class 4.
3. The remaining place for Class 4 goes to Student 2, and we have 3 1st priorities, 1 2nd priority and 1 4th priority fulfilled.
4. But this is not the best. By breaking the first-come-first-served rule for 1st priority, we can get the best - 3 1st priorities and 2 2nd priorities fulfilled.

Winning Condition

This is a code-golf challenge, so the shortest submission for each language wins. Standard loopholes are forbidden.

Euler's Geometry Puzzle

posted

posted

Convert CSV to GeoJSON

Given an input in this CSV format:

Latitude,Longitude,Name,Value -37,145,Melbourne,4500000 -34,150,Sydney,5000000 

produce this output (GeoJSON):

{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "Name": "Melbourne", "Value: "4500000" }, "geometry": { "type": "Point", "coordinates": [-37, 145] } } ], ... } 

You may assume that:

• The input will always be a well formed CSV file in this format. (No meta rows/front matter, no quoted strings, no spaces between fields, no problematic characters.)
• The input will contain one "Longitude" and one "Latitude" column, capitalised that way.
• The Latitude and Longitude columns may not be in that order, nor necessarily the first two columns.
• The number of other columns may be zero or many. They must all be converted.
• There will always be one header row. There may not be any data rows.

Notes regarding the output:

• must be valid GeoJSON (test with geojsonlint.com if you're not sure). Note: There must be a properties object, even if it is {}.
• is correct if it is semantically equivalent. (The order of keys does not matter).
• Whitespace does not matter.
• Treat all properties as strings.

Input and output in any of the standard ways for text input/output. Note the output must be text, not an object. (Ie, in JavaScript, use JSON.stringify())

Finitly inverese in base N code-golf math

Your task is when given a base N (you can assume it's \$ \geq2 \$) you need to output all natural numbers for which the decimal expansion of \$ \frac{1}{x} \$ in base N is finite.

Input

You can take the base N in any reasonable format, and you also may take an additional number N, depending on what output format you chose.

Output

You have 3 options for the output format:

• Take a number n and output the n-th number in the sequence
• Take a number n and output first n numbers in the sequence
• Take no additional input and output the list indefinitely

Test Cases

10 -> [1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1024, 1250, 1280, 1600, 2000, 2048, 2500, 2560, 3125, 3200, 4000, 4096, 5000, 5120, 6250, 6400, 8000, 8192, 10000, ...] 2 -> [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, ...] 

This Question Has _____ Views code-golf stack-exchange-api

posted

Making a programable computing chip

Make a programable chip with 8000 commands ROM and 48 16-bit unsigned words RAM initalized with zero.

These commands should be supported:

a = b + c # mod 65536 a = b - c a = b * c a = b / c # undefined behavior if c==0 a = b % c a = b > c # return 0 or 1 a = b >= c a = b == c a = b != c if a goto b if !a goto b call a, b # store ip of next command to b and goto a, then can return input a output a a = [b] # You can decide constant k and l, such that [kn+l] is rn. [a] = b # Using undefined [n] is UB 

where a, b, c can be r0-r47 or a constant of a 16-bit integer or the ip of a command. Writing to a constant is a nop, so input 42 discards an input. Mixing ip and integer, running out of commands are undefined behavior.

For example,

L1: input r1 r0 = r0 + r1 output r0 if !0 goto L1 r2 = r1 + L1 

takes input, and output sum of all inputs modulo 65536. r2 = r1 + L1 is undefined behavior, but since it's never executed it's not a problem.

The circuit consists of controlled gates (x,y,c,t), meaning that wire x and wire y are connected if wire c was active(t=1) or inactive(t=0), and programable wire (x,y,0,0), meaning that wire x and wire y can be programmed to be connected.

At the beginning, none of the wires, except IO wires(discuss later), is active. In each step, any wire connected to wire 0, whether directly or indirectly, is active.

IO is used to connect multiple such component. It contains 18 wires, where 16 of them store an integer to be passed, and two A and B meaning if there's data on the wire. When sender send, sender negate A; when reciever recieve, B negated. Therefore, there's data on the wire iff A!=B.

We write A on input, B on input, A on output, and B on output of the chip, as 4, 8, 5, 9, respectively, and the 16-bit input on 16-31, output on 32-47. You can active wires where you are expected to read from, but your chip should handle with another such chip (so if you write to input, you should handle cases when output is inputted).

For example, {(0,5,4,1),(0,8,9,1)} output zero whenever recieving an input.

You should submit a circuit (a set of 4-elem tuples) and a compiler. Smallest circuit win.

Ariadne's String code-challengegeometry

Given a \$ 20 \times 20 \$ grid, start at any arbitrary point. Then starting from this point, draw a sequence of straight lines each attached to two points on the grid. In addition, the lines must be in strictly increasing length, and such that no two intersect or touch each other. Call the number of lines drawn \$ n \$. The diagram below shows an example of a smaller \$ 5 \times 5 \$ grid, where \$ n = 5 \$. However, the maximum length for a \$ 5 \times 5 \$ grid is actually \$ n = 9 \$ (Try to find it yourself!).

This is code-challenge, meaning the answer with the largest \$ n \$ wins!

Checker program coming soon

Sandbox

• Anything unclear?
• How to position image on the right and text on the left (it looks better)

Fixed Point of cos(x)

Fixed points are any such values where, given a function f, x = f(x) = f(f(x)) = . . .

There exists a "fixed point" for the cosine function, where x = cos(x) = cos(cos(x))= . . . (you may have unknowingly come across this by repeatedly pressing "cos" on a scientific calculator).

Using the knowledge that x = f(x), one can think of a fixed point as the intersection of the graphs of y = x and y = f(x). If we let f(x)=cos(x), the graph looks like this:

Your task is to calculate the x-value of the fixed point of cos(x) 0.73908513 . . . to at least 3 digits' precision (i.e. at least as far as 0.739).

Rules

• No input is to be taken for the program

• This is code-golf so the shortest answer (in bytes) wins

Questions for Sandbox:

• Is the question clear enough as it is written?

• I have searched, but I am still paranoid: is this a duplicate?

• Are the tags code-golf and math suitable? Or should I also include number?

• Should I allow input? It seems unnecessary for solving the problem to me

• How far should the precision be extended?

Boolean Variable Satisfiability code-golf

You are given a logical expression containing 'true', 'false', 'variable' and some common boolean operators. Assuming that all variables are independent and can be freely set to either true or false, is it possible assign values to the variables such that the expression evaluates to true?

For example, the expression true and variable and not variable can indeed evaluate to true (if the first variable is true and the second is false). However, the expression false and variable cannot ever evaluate to true, regardless of what values you set the variable to.

Note that you are not required to construct a solution; you only need to determine whether or not it exists.

Input

You are given an expression in Reverse Polish notation, using the following symbols:

• T - True
• F - False
• V - Variable
• & - Logical AND
• | - Logical OR
• ^ - Logical XOR
• ! - Logical NOT

As an example, TFV!T^|& represents the expression true and (false or (not variable xor true)).

Output

The program should output a truthy value iff the expression can be evaluated to true for some set of variable assignments. Otherwise, a falsy value should be outputted.

Examples

Here are a few example expressions and their expected outputs:

TF& False FV|V& True VV!& True VV^! True VV&F|VVT|!&V!&& False VV&F|VVT|!&V!^& True TFV!T^|& True VT|!V&F|VF&!T^^ False 

Scoring

This is code-golf, so the shortest answer wins.

Sandbox Comments

I've written this as if I would post it right away. However, seeing as this is the first challenge I've written for this site, any and all input is welcome so as to make sure it's of an acceptable standard.

Constellation Enumeration in Game of Life

Yet another trivial Conway's Game of Life challenge.

A stable constellation is a still life that is composed of two or more non-interacting objects.

You task is to take the valid object list, and output a list of all possible constellations. The objects cannot be rotated or reflected. All of the objects are still lives themselves.

A sample implementation is here.

Sandbox

• Any advices on the input and output format? Plain text, RLE, or every Golly-accepable form?
• Any test cases?
• Other recommendations.

Convert NFA to DFA as quickly as possible.

Input

Your input will be an NFA. In order to be able to test your code, it needs to be able to handle an NFA in the following format. This is taken directly from GAP (and slightly simplified).

Automaton( Type, Size, Alphabet, TransitionTable, Initial, Accepting ) 

For the input, Type will always be "nondet". Size is a positive integer representing the number of states of the automaton. Alphabet is the number of letters of the alphabet. TransitionTable is the transition matrix. The entries are lists of non-negative integers not greater than the size of the automaton are also allowed. Initial and Accepting are, respectively, the lists of initial and accepting states.

Example input:

Automaton("nondet", 4, 2, [[[], [2], [3], [1, 2, 3, 4], [2, 4]], [[], [1, 3, 4], [1], [2, 4]]], [1], [2, 3]) 

This is slightly easier to read as a transition table.

 | 1 2 3 4 -------------------------------------------------- a | [ 2 ] [ 1, 2, 3, 4 ] [ 2, 4 ] b | [ 1, 3, 4 ] [ 1 ] [ 2, 4 ] Initial state: [ 1 ] Accepting states: [ 2, 3 ] 

Output

Your output must be a DFA that is equivalent to the input NFA. There is no need for your DFA to be minimal. For the output, Type will always be "det". Size is a positive integer representing the number of states of the automaton. Alphabet is the number of letters of the alphabet. TransitionTable is the transition matrix. The entries are non-negative integers not greater than the size of the automaton. The states should be labelled by consecutive integers. Initial and Accepting are, respectively, the lists of initial and accepting states. In the case of the example above, this would be:

Automaton("det", 2, 2, [[2, 2], [2, 2]], [1], []) 

As a transition table this is:

 | 1 2 ----------- a | 2 2 b | 2 2 Initial state: [ 1 ] Accepting state: [ ] 

(It is now clear this is a DFA that will not accept any input strings.)

Test cases:

1. Input:

Automaton("nondet",2,4,[[[1], [2]], [[2], []], [[2], []] , [[1], [2]]],[1],[1, 2])) 

As a transition matrix:

 | 1 2 ------------------- a | [ 1 ] [ 2 ] b | [ 2 ] c | [ 2 ] d | [ 1 ] [ 2 ] Initial state: [ 1 ] Accepting states: [ 1, 2 ] 

Here is the diagram of the NFA.

Output:

Automaton("det",3, 4,[[1, 2, 3], [2, 3, 3], [2, 3, 3], [1, 2, 3]], [1],[1, 2]) 

As a transition matrix:

 | 1 2 3 -------------- a | 1 2 3 b | 2 3 3 c | 2 3 3 d | 1 2 3 Initial state: [ 1 ] Accepting states: [ 1, 2 ] 

Here is the diagram of the DFA.

2. Input:

Automaton("nondet",7,4,[[[1, 3, 4, 5], [2], [3], [3, 4], [3, 5], [], []], [[2, 3, 4, 7], [3], [], [], [3, 7], [3, 4], []], [[2, 3, 5, 6], [3], [], [3, 6], [], [], [3, 5]], [[1, 3, 6, 7], [2], [3], [], [], [3, 6], [3, 7]]],[1],[1, 2, 3, 4, 5, 6, 7]) 

Output:

3. Input:

Automaton("nondet",12, 4,[[[1, 3, 5, 6], [2, 4, 7, 8], [3], [6], [3, 5], [3, 6], [4, 7], [4, 8], [4, 7], [4, 8], [], []], [[2, 3, 5, 10], [3, 4, 7, 12], [6], [], [4, 7], [3, 10], [], [4, 12], [3, 5], [4, 12], [4, 7], []], [[2, 3, 6, 9], [3, 4, 8, 11], [6], [], [3, 9], [4, 8], [4, 11], [], [4, 11], [3, 6], [], [4, 8 ]], [[1, 3, 9, 10], [2, 4, 11, 12], [3], [6], [4, 11], [4, 12], [], [], [3, 9], [3, 10], [4, 11], [4, 12]]],[1],[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]) 

Output:

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

4. Input:

Automaton("nondet",25,4,[[[1, 3, 6, 7], [2, 4, 8, 9], [3, 5, 10, 11], [6], [7], [3, 5, 6, 10, 18], [3, 5, 7, 11, 19], [4, 8], [4, 9 ], [5, 10], [5, 11], [4, 5, 8, 10, 22], [4, 5, 9, 11, 23], [5, 10], [5, 11], [], [], [5, 10, 18], [5, 11, 19], [5, 10, 22], [5, 11, 23 ], [], [], [], []], [[2, 3, 6, 13], [3, 4, 8, 15], [4, 5, 10, 17], [7], [], [4, 5, 8, 10, 18], [3, 5, 13, 17, 21], [5, 10], [4, 15], [], [5, 17], [3, 5, 6, 10, 22], [4, 5, 15, 17, 25], [4, 8], [5, 17], [5, 10], [], [], [5, 17, 21], [], [5, 17, 25], [5, 10, 18], [], [5, 10, 22], []], [[2, 3, 7, 12], [3, 4, 9, 14], [4, 5, 11, 16], [7], [], [3, 5, 12, 16, 20], [4, 5, 9, 11, 19], [4, 14], [5, 11], [5, 16], [], [4, 5, 14, 16, 24], [3, 5, 7, 11, 23], [5, 16], [4, 9], [], [5, 11], [5, 16, 20], [], [5, 16, 24], [], [], [5, 11, 19], [], [5, 11, 23]], [[1, 3, 12, 13], [2, 4, 14, 15], [3, 5, 16, 17], [6], [7], [4, 5, 14, 16, 20], [4, 5, 15, 17, 21], [5, 16], [5, 17], [], [], [3, 5, 12, 16, 24], [3, 5, 13, 17, 25], [4, 14], [4, 15], [5, 16], [5, 17], [], [], [], [], [5, 16, 20], [5, 17, 21], [5, 16, 24], [5, 17, 25]]],[1],[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]) 

Output:

Automaton("det",266,4,[[1, 127, 50, 50, 115, 249, 50, 8, 257, 10, 151, 12, 13, 14, 81, 78, 34, 106, 137, 107, 21, 22, 82, 89, 71, 43, 43, 62, 63, 63, 44, 10, 179, 171, 214, 265, 206, 38, 137, 152, 21, 151, 71, 22, 41, 41, 47, 13, 49, 50, 50, 210, 50, 210, 116, 90, 64, 49, 207, 207, 207, 62, 232, 64, 64, 89, 151, 236, 236, 70, 71, 236, 116, 260, 128, 75, 13, 38, 77, 133, 14, 82, 13, 13, 77, 235, 64, 64, 231, 206, 138, 91, 91, 206, 90, 264, 137, 169, 10, 10, 41, 71, 232, 228, 232, 21, 21, 107, 106, 110, 111, 266, 256, 114, 114, 116, 251, 251, 116, 114, 114, 111, 266, 260, 122, 182, 127, 128, 129, 213, 132, 132, 129, 49, 49, 138, 138, 138, 249, 71, 43, 43, 210, 235, 183, 214, 132, 265, 206, 138, 232, 64, 64, 153, 153, 64, 152, 152, 82, 236, 236, 82, 116, 116, 64, 207, 266, 64, 231, 169, 171, 250, 227, 70, 175, 175, 176, 10, 47, 178, 178, 110, 111, 266, 260, 122, 266, 127, 213, 49, 49, 152, 257, 153, 257, 90, 90, 183, 250, 264, 62, 228, 229, 82, 82, 206, 64, 266, 249, 249, 249, 242, 213, 214, 64, 116, 114, 114, 50, 50, 236, 236, 261, 115, 152, 251, 8, 228, 229, 229, 231, 232, 237, 235, 235, 236, 237, 235, 235, 235, 235, 235, 235, 242, 242, 242, 115, 251, 249, 250, 116, 116, 116, 207, 64, 265, 266, 257, 256, 266, 264, 261, 260, 264, 265, 266], [1, 125, 1, 114, 114, 121, 115, 3, 23, 19, 13, 15, 230, 28, 201, 202, 16, 84, 123, 103, 105, 208, 114, 84, 172, 199, 199, 119, 83, 83, 123, 170, 16, 31, 27, 26, 25, 104, 102, 23, 28, 13, 120, 208, 48, 103, 19, 230, 239, 1, 114, 218, 115, 219, 82, 140, 23, 208, 204, 216, 216, 119, 174, 119, 119, 84, 13, 115, 115, 50, 120, 50, 82, 204, 262, 79, 230, 104, 203, 85, 28, 114, 230, 230, 203, 3, 23, 119, 96, 96, 96, 123, 102, 140, 208, 3, 200, 200, 98, 97, 103, 120, 119, 120, 119, 28, 105, 103, 105, 54, 3, 23, 141, 1, 250, 50, 82, 114, 50, 1, 250, 3, 3, 219, 219, 125, 54, 263, 124, 124, 27, 124, 223, 208, 239, 25, 208, 208, 120, 120, 217, 217, 217, 120, 120, 142, 142, 141, 140, 140, 174, 174, 174, 204, 216, 23, 119, 23, 250, 114, 114, 250, 162, 162, 159, 205, 159, 159, 208, 123, 170, 1, 219, 50, 208, 208, 123, 177, 177, 19, 170, 173, 172, 172, 199, 199, 23, 186, 185, 184, 184, 23, 120, 216, 23, 140, 208, 120, 1, 3, 119, 120, 114, 114, 250, 239, 119, 3, 121, 3, 120, 219, 212, 212, 23, 50, 1, 250, 1, 114, 50, 114, 219, 114, 23, 114, 3, 120, 114, 114, 208, 119, 125, 121, 3, 50, 54, 120, 3, 120, 121, 3, 120, 218, 219, 217, 114, 114, 3, 1, 250, 250, 250, 253, 252, 173, 172, 120, 125, 3, 3, 219, 219, 3, 54, 3], [1, 1, 249, 249, 6, 1, 1, 247, 7, 130, 167, 17, 11, 66, 33, 33, 131, 136, 10, 32, 150, 9, 112, 36, 149, 112, 149, 56, 167, 37, 181, 130, 35, 147, 139, 51, 139, 11, 10, 234, 147, 37, 148, 113, 136, 136, 146, 24, 249, 1, 1, 249, 249, 249, 139, 6, 238, 127, 134, 238, 134, 9, 148, 238, 134, 167, 36, 50, 249, 247, 73, 249, 51, 139, 112, 167, 76, 76, 11, 167, 80, 73, 67, 66, 66, 135, 58, 58, 112, 139, 233, 100, 100, 2, 6, 95, 10, 32, 130, 130, 99, 94, 94, 56, 149, 150, 147, 150, 136, 51, 51, 51, 7, 51, 51, 51, 7, 6, 139, 139, 139, 2, 58, 134, 139, 7, 1, 112, 112, 249, 238, 238, 112, 249, 127, 238, 233, 238, 1, 149, 112, 149, 249, 135, 7, 139, 238, 51, 139, 238, 112, 238, 233, 234, 234, 134, 234, 190, 112, 50, 249, 73, 139, 51, 238, 134, 51, 134, 148, 32, 147, 145, 145, 145, 258, 259, 180, 130, 146, 189, 189, 51, 51, 134, 134, 139, 2, 1, 249, 127, 249, 191, 191, 191, 188, 188, 188, 188, 198, 197, 196, 196, 195, 187, 187, 139, 233, 134, 127, 127, 127, 49, 249, 139, 243, 211, 211, 211, 210, 210, 210, 210, 95, 209, 241, 209, 126, 117, 117, 9, 112, 112, 50, 50, 50, 50, 50, 50, 49, 49, 127, 127, 127, 249, 249, 249, 7, 7, 1, 247, 51, 139, 211, 134, 134, 51, 51, 7, 7, 2, 126, 145, 139, 247, 51, 51], [1, 51, 3, 4, 4, 7, 7, 50, 73, 61, 11, 12, 40, 109, 101, 93, 45, 18, 19, 20, 21, 64, 161, 29, 193, 118, 193, 65, 11, 42, 19, 59, 30, 46, 163, 164, 163, 40, 39, 57, 46, 42, 246, 60, 18, 21, 61, 158, 72, 50, 51, 53, 53, 3, 55, 55, 57, 246, 156, 64, 65, 64, 155, 64, 65, 11, 29, 68, 69, 236, 160, 72, 73, 55, 157, 11, 154, 154, 40, 11, 46, 160, 225, 192, 192, 86, 87, 88, 157, 118, 155, 19, 39, 74, 161, 239, 92, 92, 166, 254, 20, 144, 88, 240, 65, 109, 108, 21, 21, 50, 50, 73, 73, 50, 247, 236, 73, 161, 72, 3, 5, 54, 86, 239, 3, 51, 50, 64, 64, 161, 165, 64, 157, 161, 245, 165, 60, 64, 51, 240, 161, 240, 4, 144, 51, 55, 57, 73, 55, 57, 157, 157, 155, 57, 64, 156, 64, 87, 118, 160, 161, 248, 163, 164, 165, 168, 164, 168, 60, 19, 108, 3, 3, 72, 64, 60, 19, 194, 194, 61, 59, 247, 247, 193, 193, 5, 74, 7, 69, 244, 69, 156, 240, 65, 74, 74, 246, 143, 219, 86, 88, 144, 222, 222, 226, 72, 60, 239, 52, 54, 143, 239, 72, 72, 215, 221, 219, 224, 219, 220, 221, 222, 239, 220, 215, 222, 54, 160, 160, 161, 64, 64, 160, 68, 236, 236, 236, 160, 239, 240, 244, 245, 246, 69, 72, 161, 51, 160, 50, 50, 248, 118, 226, 255, 255, 248, 248, 160, 160, 245, 245, 72, 72, 236, 236, 236]],[12],[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266]) 

5. Input:

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

Output

6. Input:

Automaton("nondet",67,4,[[[1, 3, 8, 9], [2, 4, 10, 11], [3, 5, 12, 13], [4, 6, 14, 15], [5, 7, 16, 17], [8], [8], [3, 5, 8, 12, 28], [3, 5, 9, 13, 29], [4, 6, 10, 14, 30], [4, 6, 11, 15, 31], [5, 7, 12, 16, 32], [5, 7, 13, 17, 33], [6, 14], [6, 15], [ 7, 16], [7, 17], [4, 5, 10, 12, 40], [4, 5, 11, 13, 41], [5, 6, 12, 14, 42], [5, 6, 13, 15, 43], [6, 7, 14, 16, 44], [6, 7, 15, 17, 45], [7, 16], [7, 17], [], [], [5, 7, 12, 16, 28, 32, 52], [5, 7, 13, 17, 29, 33, 53], [6, 14, 30], [6, 15, 31], [7, 16, 32], [7, 17, 33], [5, 7, 12, 16, 40, 44, 56], [5, 7, 13, 17, 41, 45, 57], [6, 14, 42], [6, 15, 43], [7, 16, 44], [7, 17, 45], [6, 7, 14, 16, 30, 32, 60], [6, 7, 15, 17, 31, 33, 61], [7, 16, 32], [7, 17, 33], [], [], [6, 7, 14, 16, 42, 44, 64], [6, 7, 15, 17, 43, 45, 65], [7, 16, 44], [7, 17, 45], [], [], [7, 16, 32, 52], [7, 17, 33, 53], [7, 16, 44, 56], [7, 17, 45, 57], [7, 16, 32, 60], [7, 17, 33, 61], [7, 16, 44, 64], [7, 17, 45, 65], [], [], [], [], [], [], [], []], [[2, 3, 8, 19], [3, 4, 10, 21], [4, 5, 12, 23], [5, 6, 14, 25], [6, 7, 16, 27], [8], [], [4, 5, 10, 12, 28], [3, 5, 19, 23, 35], [5, 6, 12, 14, 30], [4, 6, 21, 25, 37], [6, 7, 14, 16, 32], [5, 7, 23, 27, 39], [7, 16], [6, 25], [], [7, 27], [3, 5, 8, 12, 40], [4, 5, 21, 23, 47], [4, 6, 10, 14, 42], [5, 6, 23, 25, 49], [5, 7, 12, 16, 44], [6, 7, 25, 27, 51], [6, 14], [7, 27], [7, 16], [], [6, 7, 14, 16, 30, 32, 52], [5, 7, 23, 27, 35, 39, 55], [7, 16, 32], [6, 25, 37], [], [7, 27, 39], [6, 7, 14, 16, 42, 44, 56], [5, 7, 23, 27, 47, 51, 59], [7, 16, 44], [6, 25, 49], [], [7, 27, 51], [5, 7, 12, 16, 28, 32, 60], [6, 7, 25, 27, 37, 39, 63], [6, 14, 30], [7, 27, 39], [7, 16, 32], [], [5, 7, 12, 16, 40, 44, 64], [6, 7, 25, 27, 49, 51, 67], [6, 14, 42], [7, 27, 51], [7, 16, 44], [], [], [7, 27, 39, 55], [], [7, 27, 51, 59], [], [7, 27, 39, 63], [], [7, 27, 51, 67], [7, 16, 32, 52], [], [7, 16, 44, 56], [], [7, 16, 32, 60], [], [7, 16, 44, 64], []], [[2, 3, 9, 18], [3, 4, 11, 20], [4, 5, 13, 22], [5, 6, 15, 24], [6, 7, 17, 26], [8], [], [3, 5, 18, 22, 34], [4, 5, 11, 13, 29], [4, 6, 20, 24, 36], [5, 6, 13, 15, 31], [5, 7, 22, 26, 38], [6, 7, 15, 17, 33], [6, 24], [7, 17], [7, 26 ], [], [4, 5, 20, 22, 46], [3, 5, 9, 13, 41], [5, 6, 22, 24, 48], [4, 6, 11, 15, 43], [6, 7, 24, 26, 50], [5, 7, 13, 17, 45], [7, 26], [6, 15], [], [7, 17], [5, 7, 22, 26, 34, 38, 54], [6, 7, 15, 17, 31, 33, 53], [6, 24, 36], [7, 17, 33], [7, 26, 38], [], [ 5, 7, 22, 26, 46, 50, 58], [6, 7, 15, 17, 43, 45, 57], [6, 24, 48], [7, 17, 45], [7, 26, 50], [], [6, 7, 24, 26, 36, 38, 62], [5, 7, 13, 17, 29, 33, 61], [7, 26, 38], [6, 15, 31], [], [7, 17, 33], [6, 7, 24, 26, 48, 50, 66], [5, 7, 13, 17, 41, 45, 65], [7, 26, 50], [6, 15, 43], [], [7, 17, 45], [7, 26, 38, 54], [], [7, 26, 50, 58], [], [7, 26, 38, 62], [], [7, 26, 50, 66], [], [], [7, 17, 33, 53], [], [7, 17, 45, 57], [], [7, 17, 33, 61], [], [7, 17, 45, 65]], [[1, 3, 18, 19], [2, 4, 20, 21], [3, 5, 22, 23 ], [4, 6, 24, 25], [5, 7, 26, 27], [8], [8], [4, 5, 20, 22, 34], [4, 5, 21, 23, 35], [5, 6, 22, 24, 36], [5, 6, 23, 25, 37], [6, 7, 24, 26, 38], [6, 7, 25, 27, 39], [7, 26], [7, 27], [], [], [3, 5, 18, 22, 46], [3, 5, 19, 23, 47], [4, 6, 20, 24, 48], [4, 6, 21, 25, 49], [5, 7, 22, 26, 50], [5, 7, 23, 27, 51], [6, 24], [6, 25], [7, 26], [7, 27], [6, 7, 24, 26, 36, 38, 54], [6, 7, 25, 27, 37, 39, 55], [7, 26, 38], [7, 27, 39], [], [], [6, 7, 24, 26, 48, 50, 58], [6, 7, 25, 27, 49, 51, 59], [7, 26, 50], [7, 27, 51], [], [], [5, 7, 22, 26, 34, 38, 62], [5, 7, 23, 27, 35, 39, 63], [6, 24, 36], [6, 25, 37], [7, 26, 38], [7, 27, 39], [5, 7, 22, 26, 46, 50, 66], [5, 7, 23, 27, 47, 51, 67], [6, 24, 48], [6, 25, 49], [7, 26, 50], [7, 27, 51], [], [], [], [], [], [], [], [], [7, 26, 38, 54], [7, 27, 39, 55], [7, 26, 50, 58], [7, 27, 51, 59], [7, 26, 38, 62], [7, 27, 39, 63], [7, 26, 50, 66], [7, 27, 51, 67]]],[1],[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67]) 

Output

7. Input:

Automaton("nondet",96,4,[[[1, 3, 9, 10], [2, 4, 11, 12], [3, 5, 13, 14], [4, 6, 15, 16], [5, 7, 17, 18], [6, 8, 19, 20], [7 ], [8], [3, 5, 9, 13, 33], [3, 5, 10, 14, 34], [4, 6, 11, 15, 35], [4, 6, 12, 16, 36], [5, 7, 13, 17, 37], [5, 7, 14, 18, 38], [6, 8, 15, 19, 39], [6, 8, 16, 20, 40], [7, 17], [7, 18], [8, 19], [8, 20], [4, 5, 11, 13, 49], [4, 5, 12, 14, 50], [5, 6, 13, 15, 51], [5, 6, 14, 16, 52], [6, 7, 15, 17, 53], [6, 7, 16, 18, 54], [7, 8, 17, 19, 55], [7, 8, 18, 20, 56], [8, 19], [8, 20], [], [], [5, 7, 13, 17, 33, 37, 65], [5, 7, 14, 18, 34, 38, 66], [6, 8, 15, 19, 35, 39, 67], [6, 8, 16, 20, 36, 40, 68], [7, 17, 37], [7, 18, 38], [8, 19, 39], [8, 20, 40], [5, 7, 13, 17, 49, 53, 73], [5, 7, 14, 18, 50, 54, 74], [6, 8, 15, 19, 51, 55, 75], [6, 8, 16, 20, 52, 56, 76], [7, 17, 53], [7, 18, 54], [8, 19, 55], [8, 20, 56], [6, 7, 15, 17, 35, 37, 81], [6, 7, 16, 18, 36, 38, 82], [7, 8, 17, 19, 37, 39, 83], [7, 8, 18, 20, 38, 40, 84], [8, 19, 39], [8, 20, 40], [], [], [6, 7, 15, 17, 51, 53, 89], [6, 7, 16, 18, 52, 54, 90], [7, 8, 17, 19, 53, 55, 91], [7, 8, 18, 20, 54, 56, 92], [8, 19, 55], [8, 20, 56], [], [], [7, 17, 37, 65], [7, 18, 38, 66 ], [8, 19, 39, 67], [8, 20, 40, 68], [7, 17, 53, 73], [7, 18, 54, 74], [8, 19, 55, 75], [8, 20, 56, 76], [7, 17, 37, 81], [7, 18, 38, 82], [8, 19, 39, 83], [8, 20, 40, 84], [7, 17, 53, 89], [7, 18, 54, 90], [8, 19, 55, 91], [8, 20, 56, 92], [8, 19, 39, 67], [8, 20, 40, 68], [], [], [8, 19, 55, 75], [8, 20, 56, 76], [], [], [8, 19, 39, 83], [8, 20, 40, 84], [], [], [8, 19, 55, 91], [8, 20, 56, 92], [], []], [[2, 3, 9, 22], [3, 4, 11, 24], [4, 5, 13, 26], [5, 6, 15, 28], [6, 7, 17, 30], [7, 8, 19, 32], [8 ], [], [4, 5, 11, 13, 33], [3, 5, 22, 26, 42], [5, 6, 13, 15, 35], [4, 6, 24, 28, 44], [6, 7, 15, 17, 37], [5, 7, 26, 30, 46], [7, 8, 17, 19, 39], [6, 8, 28, 32, 48], [8, 19], [7, 30], [], [8, 32], [3, 5, 9, 13, 49], [4, 5, 24, 26, 58], [4, 6, 11, 15, 51], [ 5, 6, 26, 28, 60], [5, 7, 13, 17, 53], [6, 7, 28, 30, 62], [6, 8, 15, 19, 55], [7, 8, 30, 32, 64], [7, 17], [8, 32], [8, 19], [], [6, 7, 15, 17, 35, 37, 65], [5, 7, 26, 30, 42, 46, 70], [7, 8, 17, 19, 37, 39, 67], [6, 8, 28, 32, 44, 48, 72], [8, 19, 39], [7, 30, 46], [], [8, 32, 48], [6, 7, 15, 17, 51, 53, 73], [5, 7, 26, 30, 58, 62, 78], [7, 8, 17, 19, 53, 55, 75], [6, 8, 28, 32, 60, 64, 80], [8, 19, 55], [7, 30, 62], [], [8, 32, 64], [5, 7, 13, 17, 33, 37, 81], [6, 7, 28, 30, 44, 46, 86], [6, 8, 15, 19, 35, 39, 83], [7, 8, 30, 32, 46, 48, 88], [7, 17, 37], [8, 32, 48], [8, 19, 39], [], [5, 7, 13, 17, 49, 53, 89], [6, 7, 28, 30, 60, 62, 94], [6, 8, 15, 19, 51, 55, 91], [7, 8, 30, 32, 62, 64, 96], [7, 17, 53], [8, 32, 64], [8, 19, 55], [], [8, 19, 39, 67], [7, 30, 46, 70], [], [8, 32, 48, 72], [8, 19, 55, 75], [7, 30, 62, 78], [], [8, 32, 64, 80], [8, 19, 39, 83], [7, 30, 46, 86], [], [8, 32, 48, 88], [8, 19, 55, 91], [7, 30, 62, 94], [], [8, 32, 64, 96], [7, 17, 37, 65], [8, 32, 48, 72], [8, 19, 39, 67], [], [7, 17, 53, 73], [8, 32, 64, 80], [8, 19, 55, 75], [], [7, 17, 37, 81], [8, 32, 48, 88], [8, 19, 39, 83], [], [7, 17, 53, 89], [8, 32, 64, 96 ], [8, 19, 55, 91], []], [[2, 3, 10, 21], [3, 4, 12, 23], [4, 5, 14, 25], [5, 6, 16, 27], [6, 7, 18, 29], [7, 8, 20, 31], [8], [], [3, 5, 21, 25, 41], [4, 5, 12, 14, 34], [4, 6, 23, 27, 43], [5, 6, 14, 16, 36], [5, 7, 25, 29, 45], [6, 7, 16, 18, 38], [6, 8, 27, 31, 47], [7, 8, 18, 20, 40], [7, 29], [8, 20], [8, 31], [], [4, 5, 23, 25, 57], [3, 5, 10, 14, 50], [5, 6, 25, 27, 59], [ 4, 6, 12, 16, 52], [6, 7, 27, 29, 61], [5, 7, 14, 18, 54], [7, 8, 29, 31, 63], [6, 8, 16, 20, 56], [8, 31], [7, 18], [], [8, 20 ], [5, 7, 25, 29, 41, 45, 69], [6, 7, 16, 18, 36, 38, 66], [6, 8, 27, 31, 43, 47, 71], [7, 8, 18, 20, 38, 40, 68], [7, 29, 45], [8, 20, 40], [8, 31, 47], [], [5, 7, 25, 29, 57, 61, 77], [6, 7, 16, 18, 52, 54, 74], [6, 8, 27, 31, 59, 63, 79], [7, 8, 18, 20, 54, 56, 76], [7, 29, 61], [8, 20, 56], [8, 31, 63], [], [6, 7, 27, 29, 43, 45, 85], [5, 7, 14, 18, 34, 38, 82], [7, 8, 29, 31, 45, 47, 87], [6, 8, 16, 20, 36, 40, 84], [8, 31, 47], [7, 18, 38], [], [8, 20, 40], [6, 7, 27, 29, 59, 61, 93], [5, 7, 14, 18, 50, 54, 90], [7, 8, 29, 31, 61, 63, 95], [6, 8, 16, 20, 52, 56, 92], [8, 31, 63], [7, 18, 54], [], [8, 20, 56], [7, 29, 45, 69], [8, 20, 40, 68], [8, 31, 47, 71], [], [7, 29, 61, 77], [8, 20, 56, 76], [8, 31, 63, 79], [], [7, 29, 45, 85], [8, 20, 40, 84], [8, 31, 47, 87], [], [7, 29, 61, 93], [8, 20, 56, 92], [8, 31, 63, 95], [], [8, 31, 47, 71], [7, 18, 38, 66], [], [8, 20, 40, 68], [8, 31, 63, 79], [7, 18, 54, 74], [], [8, 20, 56, 76], [8, 31, 47, 87], [7, 18, 38, 82], [], [8, 20, 40, 84], [8, 31, 63, 95], [7, 18, 54, 90 ], [], [8, 20, 56, 92]], [[1, 3, 21, 22], [2, 4, 23, 24], [3, 5, 25, 26], [4, 6, 27, 28], [5, 7, 29, 30], [6, 8, 31, 32], [8], [8], [4, 5, 23, 25, 41], [4, 5, 24, 26, 42], [5, 6, 25, 27, 43], [5, 6, 26, 28, 44], [6, 7, 27, 29, 45], [6, 7, 28, 30, 46], [7, 8, 29, 31, 47], [7, 8, 30, 32, 48], [8, 31], [8, 32], [], [], [3, 5, 21, 25, 57], [3, 5, 22, 26, 58], [4, 6, 23, 27, 59], [4, 6, 24, 28, 60], [5, 7, 25, 29, 61], [5, 7, 26, 30, 62], [6, 8, 27, 31, 63], [6, 8, 28, 32, 64], [7, 29], [7, 30], [8, 31], [8, 32], [6, 7, 27, 29, 43, 45, 69], [6, 7, 28, 30, 44, 46, 70], [7, 8, 29, 31, 45, 47, 71], [7, 8, 30, 32, 46, 48, 72], [8, 31, 47], [8, 32, 48], [], [], [6, 7, 27, 29, 59, 61, 77], [6, 7, 28, 30, 60, 62, 78], [7, 8, 29, 31, 61, 63, 79], [7, 8, 30, 32, 62, 64, 80], [8, 31, 63], [8, 32, 64], [], [], [5, 7, 25, 29, 41, 45, 85], [5, 7, 26, 30, 42, 46, 86], [6, 8, 27, 31, 43, 47, 87], [6, 8, 28, 32, 44, 48, 88], [7, 29, 45], [7, 30, 46], [8, 31, 47], [8, 32, 48], [5, 7, 25, 29, 57, 61, 93], [5, 7, 26, 30, 58, 62, 94], [6, 8, 27, 31, 59, 63, 95], [6, 8, 28, 32, 60, 64, 96], [7, 29, 61], [7, 30, 62], [8, 31, 63], [8, 32, 64], [8, 31, 47, 71], [8, 32, 48, 72 ], [], [], [8, 31, 63, 79], [8, 32, 64, 80], [], [], [8, 31, 47, 87], [8, 32, 48, 88], [], [], [8, 31, 63, 95], [8, 32, 64, 96 ], [], [], [7, 29, 45, 69], [7, 30, 46, 70], [8, 31, 47, 71], [8, 32, 48, 72], [7, 29, 61, 77], [7, 30, 62, 78], [8, 31, 63, 79], [8, 32, 64, 80], [7, 29, 45, 85], [7, 30, 46, 86], [8, 31, 47, 87], [8, 32, 48, 88], [7, 29, 61, 93], [7, 30, 62, 94], [8, 31, 63, 95], [8, 32, 64, 96]]],[1],[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96]) 

8. The DFA for 7 plus the NFAs/DFAS for 8, 9, 10, 11 are here as they are too big to paste. For 12, 13, 14, 15 I have only included the NFAs. The files have names k6dfa, k7nfa, k7dfa etc. As an example, the input for problem 7 is k7nfa and the output is k7dfa. Hopefully the rest of the names are clear. If your code is correct for problems 1-11, I am happy to believe it is correct in general.

Score

I will time your code on test cases 1..15 from above of increasing size. Your score will be the largest test case your code can process in less than 10 minutes. If two answers get to the same size then the one that is fastest on that largest test case wins. The test machine is an Intel(R) Xeon(R) CPU E5-2680 v4 @ 2.40GHz. You can use at most 16 of its cores.

Testing

I will check your answers (for the smaller cases) using AreEquivAut .

[Thank you to Christian Sievers for the example NFAs.]

Improved image sampling popularity-contest graphical-output image-processing

Quoting from the ImageMagick documentation of the very simple -sample resizer, "You can think of the image as being divided into an array of regions, and one pixel from each region is selected for the resulting image". Unfortunately, it uses a bad algorithm for choosing the one pixel: it chooses the middle one.

In this challenge, you have to write a program that takes an image and a positive integer \$N\$ (\$N\$ divides the height and the width) as input and outputs the image downscaled by the factor \$N\$. In the output image, every pixel must be taken from the corresponding \$N\times N\$ square in the original image.

[image gallery and settings used]

This is tagged popularity-contest, so the answer with the most upvotes wins!

Fetch me some data internet code-golf code-challenge

This is the fifth post for the second RGS's Golfing Showdown.

Task

Write some code to fetch the updated total number of confirmed infected cases in a territory. The territory you choose to fetch data for will influence your score, so keep that in mind.

Input

Your code takes no input.

Output

You should output an integer or any other sensible representation of it.

Rules

Fetching the data

The data you fetch must be fetched from a URI that must have been online at least since the 25th of April of 2020. You may fetch the most recent data or the data for a specific date, as long as in that date, your territory has a non-zero number of total confirmed cases.

Scoring and Territory

The territory you fetch data for must be a territory listed in the WHO daily situation reports and the numbers you fetch for a given date must be within 10% of the WHO numbers for the same date.

Your score will be the number of bytes minus the length of the longest common substring between your code and the territory you pick, case insensitive.

E.g. If my program is abcdefghijklmno and my territory is Italy I get to shave 2 bytes of my score because of the common substring il (or al).

Sandbox

Are the rules clear enough and well-specified enough?

A malbolge interpreter

The challenge today is to write a Malbolge interpreter.

Specification

Malbolge '98, Ben Olmstead I hereby relenquish any and all copyright on this language, documentation, and interpreter; Malbolge is officially public domain. ------------------------------------------------------------------------ Malbolge '98, Ben Olmstead Introduction ^^^^^^^^^^^^ It was noticed that, in the field of esoteric programming languages, there was a particular and surprising void: no programming language known to the author was specifically designed to be difficult to program in. Certainly, there were languages which were difficult to write in, and far more were difficult to read (see: Befunge, False, TWDL, RUBE...). But even INTERCAL and BrainF***, the two kings of mental torment, were designed with other goals: INTERCAL to have nothing in common with any major programming language, and BrainF*** to be a very tiny, yet still Turing-complete, language. INTERCAL's constructs are certainly tortuous, but they are all too flexible; you can, for instance, quite easily assign any number to a variable with a single statement. BrainF*** is lacking the flexibility which is INTERCAL's major weakness, but it fails in that its constructs are far, far too intuitive. Certainly, there are only 8 instructions, none of which take any arguments--but it is quite easy to determine how to use those instructions. Subtract 8 from the current number? With a simple '--------' you are done! This kind of simple answer was unacceptable to the author. Hence the author created Malbolge. It borrows from machine, BrainF***, and tri-INTERCAL, but put together in a unique way. It was designed to be difficult to use, and so it is. It is designed to be incomprehensible, and so it is. So far, no Malbolge programs have been written. Thus, we cannot give an example. "Malbolge" is the name of Dante's Eighth Circle of Hell, in which practitioners of deception (seducers, flatterers, simonists, thieves, hypocrites, and so on) spend eternity. Environment ^^^^^^^^^^^ In many languages, the environment is easy to understand. In Malbolge, it is best to understand the runtime environment before you ever see a command. The environment is, roughly, that of a primitive trinary CPU. Both code and data share the same space (the machine's memory segment), and there are three registers. Machine words are ten trits (trinary digits) wide, giving a maximum possible value of 59048 (all numbers are unsigned). Memory space is exactly 59049 words long. The three registers are A, C, and D. A is the accumulator, used for data manipulation. A is implicitly set to the value written by all write operations on memory. (Standard I/O, a distinctly non-chip-level feature, is done directly with the A register.) C is the code pointer. It is automatically incremented after each instruction, and points the instruction being executed. D is the data pointer. It, too, is automatically incremented after each instruction, but the location it points to is used for the data manipulation commands. All registers begin with the value 0. When the interpreter loads the program, it ignores all whitespace. If it encounters anything that is not one of an instruction and is not whitespace, it will give an error, otherwise it loads the file, one non- whitespace character per cell, into memory. Cells which are not initialized are set by performing op on the previous two cells repetitively. Commands ^^^^^^^^ When the interpreter tries to execute a program, it first checks to see if the current instruction is a graphical ASCII character (33 through 126). If it is, it subtracts 33 from it, adds C to it, mods it by 94, then uses the result as an index into the following table of 94 characters: +b(29e*j1VMEKLyC})8&m#~W>qxdRp0wkrUo[D7,XTcA"lI .v%{gJh4G\-=O@5`_3i<?Z';FNQuY]szf$!BS/|t:Pn6^Ha It then checks it against the characters listed below, and performs an appropriate action. If the result is not one of the characters listed below, it is treated as a nop. If the original character is not graphic ASCII, the program is immediately ended. When the interpreter parses the input file, it checks each non- whitespace character with the process above. If any result is not one of the eight characters below, the file will be rejected. After the instruction is executed, 33 is subtracted from the instruction at C, and the result is used as an index in the table below. The new character is then placed at C, and then C is incremented. 5z]&gqtyfr$(we4{WP)H-Zn,[%\3dL+Q;>U!pJS72FhOA1C B6v^=I_0/8|jsb9m<.TVac`uY*MK'X~xDl}REokN:#?G"i@ j sets the data pointer to the value in the cell pointed to by the current data pointer. i sets the code pointer to the value in the cell pointed to be the current data pointer. * rotates the trinary value of the cell pointed to by D to the right 1. The least significant trit becomes the most significant trit, and all others move one position to the left. p performs a tritwise "op" on the value pointed to by D with the contents of A. The op (don't look for pattern, it's not there) is: | A trit: ________|_0__1__2_ 0 | 1 0 0 *D 1 | 1 0 2 trit 2 | 2 2 1 Di-trits: 00 01 02 10 11 12 20 21 22 00 04 03 03 01 00 00 01 00 00 01 04 03 05 01 00 02 01 00 02 02 05 05 04 02 02 01 02 02 01 10 04 03 03 01 00 00 07 06 06 11 04 03 05 01 00 02 07 06 08 12 05 05 04 02 02 01 08 08 07 20 07 06 06 07 06 06 04 03 03 21 07 06 08 07 06 08 04 03 05 22 08 08 07 08 08 07 05 05 04 < reads an ASCII value from the stdin and converts it to Trinary, then stores it in A. 10 (line feed) is considered 'newline', and 2222222222t (59048 dec.) is EOF. / converts the value in A to ASCII and writes it to stdout. Writing 10 is a newline. v indicates a full stop for the machine. o does nothing, except increment C and D, as all other instructions do. Turing-Completeness ^^^^^^^^^^^^^^^^^^^ Though I have not proven it, I _think_ Malbolge to be Turing-complete. To be Turing-complete, there must be some data construct which can be used to do any mathematical calculation. I believe that using *p in various clever ways on the tritwords can fulfill this requirement. Turing-completeness also requires three code constructs: sequential execution (which Malbolge obviously has), repetition (provided by the i and, indirectly, j instructions), and conditional-execution (provided, I believe, by self-modifying code and altering i destinations). I do have my doubts, particularly about data constructs, but I *think* this works... Appendix: Trinary Conversion Table ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Trinary to ASCII to decimal to hex table, provided, strangely enough, for the convenience of Malbolge programmers. 00000 NUL 000 00 01012 032 20 02101 @ 064 40 10120 ` 096 60 00001 SOH 001 01 01020 ! 033 21 02102 A 065 41 10121 a 097 61 00002 STX 002 02 01021 " 034 22 02110 B 066 42 10122 b 098 62 00010 ETX 003 03 01022 # 035 23 02111 C 067 43 10200 c 099 63 00011 EOT 004 04 01100 $ 036 24 02112 D 068 44 10201 d 100 64 00012 ENQ 005 05 01101 % 037 25 02120 E 069 45 10202 e 101 65 00020 ACK 006 06 01102 & 038 26 02121 F 070 46 10210 f 102 66 00021 BEL 007 07 01110 ' 039 27 02122 G 071 47 10211 g 103 67 00022 BS 008 08 01111 ( 040 28 02200 H 072 48 10212 h 104 68 00100 HT 009 09 01112 ) 041 29 02201 I 073 49 10220 i 105 69 00101 LF 010 0a 01120 * 042 2a 02202 J 074 4a 10221 j 106 6a 00102 VT 011 0b 01121 + 043 2b 02210 K 075 4b 10222 k 107 6b 00110 FF 012 0c 01122 , 044 2c 02211 L 076 4c 11000 l 108 6c 00111 CR 013 0d 01200 - 045 2d 02212 M 077 4d 11001 m 109 6d 00112 SO 014 0e 01201 . 046 2e 02220 N 078 4e 11002 n 110 6e 00120 SI 015 0f 01202 / 047 2f 02221 O 079 4f 11010 o 111 6f 00121 DLE 016 10 01210 0 048 30 02222 P 080 50 11011 p 112 70 00122 DC1 017 11 01211 1 049 31 10000 Q 081 51 11012 q 113 71 00200 DC2 018 12 01212 2 050 32 10001 R 082 52 11020 r 114 72 00201 DC3 019 13 01220 3 051 33 10002 S 083 53 11021 s 115 73 00202 DC4 020 14 01221 4 052 34 10010 T 084 54 11022 t 116 74 00210 NAK 021 15 01222 5 053 35 10011 U 085 55 11100 u 117 75 00211 SYN 022 16 02000 6 054 36 10012 V 086 56 11101 v 118 76 00212 ETB 023 17 02001 7 055 37 10020 W 087 57 11102 w 119 77 00220 CAN 024 18 02002 8 056 38 10021 X 088 58 11110 x 120 78 00221 EM 025 19 02010 9 057 39 10022 Y 089 59 11111 y 121 79 00222 SUB 026 1a 02011 : 058 3a 10100 Z 090 5a 11112 z 122 7a 01000 ESC 027 1b 02012 ; 059 3b 10101 [ 091 5b 11120 { 123 7b 01001 FS 028 1c 02020 < 060 3c 10102 \ 092 5c 11121 | 124 7c 01002 GS 029 1d 02021 = 061 3d 10110 ] 093 5d 11122 } 125 7d 01010 RS 030 1e 02022 > 062 3e 10111 ^ 094 5e 11200 ~ 126 7e 01011 US 031 1f 02100 ? 063 3f 10112 _ 095 5f 11202 128 80 12221 160 a0 21010 192 c0 22022 224 e0 11210 129 81 12222 161 a1 21011 193 c1 22100 225 e1 11211 130 82 20000 162 a2 21012 194 c2 22101 226 e2 11212 131 83 20001 163 a3 21020 195 c3 22102 227 e3 11220 132 84 20002 164 a4 21021 196 c4 22110 228 e4 11221 133 85 20010 165 a5 21022 197 c5 22111 229 e5 11222 134 86 20011 166 a6 21100 198 c6 22112 230 e6 12000 135 87 20012 167 a7 21101 199 c7 22120 231 e7 12001 136 88 20020 168 a8 21102 200 c8 22121 232 e8 12002 137 89 20021 169 a9 21110 201 c9 22122 233 e9 12010 138 8a 20022 170 aa 21111 202 ca 22200 234 ea 12011 139 8b 20100 171 ab 21112 203 cb 22201 235 eb 12012 140 8c 20101 172 ac 21120 204 cc 22202 236 ec 12020 141 8d 20102 173 ad 21121 205 cd 22210 237 ed 12021 142 8e 20110 174 ae 21122 206 ce 22211 238 ee 12022 143 8f 20111 175 af 21200 207 cf 22212 239 ef 12100 144 90 20112 176 b0 21201 208 d0 22220 240 f0 12101 145 91 20120 177 b1 21202 209 d1 22221 241 f1 12102 146 92 20121 178 b2 21210 210 d2 22222 242 f2 12110 147 93 20122 179 b3 21211 211 d3 12111 148 94 20200 180 b4 21212 212 d4 12112 149 95 20201 181 b5 21220 213 d5 12120 150 96 20202 182 b6 21221 214 d6 12121 151 97 20210 183 b7 21222 215 d7 12122 152 98 20211 184 b8 22000 216 d8 12200 153 99 20212 185 b9 22001 217 d9 12201 154 9a 20220 186 ba 22002 218 da 12202 155 9b 20221 187 bb 22010 219 db 12210 156 9c 20222 188 bc 22011 220 dc 12211 157 9d 21000 189 bd 22012 221 dd 12212 158 9e 21001 190 be 22020 222 de 12220 159 9f 21002 191 bf 22021 223 df 

Notes

Note that the original specification has one quirk: after encountering an illegal instruction, the interpreter hangs. You may choose which behaviour do you want to implement (hang or exit).

I/O rules

The program or function has to take input in any reasonable way (for the program), and somehow supply the input and output features to the malbolge program (either by return value / parameter, tty or a file).

Sandbox stuff

note: I'm a bit unsure about the scoring criterion: would popularity-contest be good? I'm mostly looking for creative answers