Sandbox for Proposed Challenges

Question

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This "Sandbox" is a place where Code Golf users can get feedback on prospective challenges they wish to post to the main page. This is useful because writing a clear and fully specified challenge on your first try can be difficult, and there is a much better chance of your challenge being well received if you post it in the Sandbox first.

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Answer 1

Fix the message on my calculator

code-golf string

My calculator has lots of mathematical buttons, but they're boring; it's much more fun to write messages using letters. You can access the letters of the alphabet with the ALPHA button which turns each button press into a corresponding letter which is noted above each key (or space, in the case of .).

My calculator looks like this*:

 A    B    C    D    E    F
log   ln   ^2  sin  cos  tan
-----------------------------
 G    H    I    J    K    L
 /    ->   (    )    ,   Esc
-----------------------------
 M     N     O
 7     8     9 
-----------------------------
 P     Q     R     S     T
 4     5     6     *     %
-----------------------------
 U     V     W     X     Y
 1     2     3     +     -
-----------------------------
 Z    (Space)
 0       .  

For example, to type HELLO I would press Esc cos -> -> 9 ..

However, recently my ALPHA button was broken, so I can't get to the letters any more. When I try to write a message, only the mathematical symbols get input.

Without ALPHA, the keys do the following:

• The Esc key does nothing
• The digit keys, ., (, ), ,, ->, +, -, *, and % enter those strings verbatim
• The log, ln, sin, cos, and tan keys enter function_name() and place the cursor before the closing bracket
• The / and ^2 keys enter a / or ^2 respectively, and then move the cursor to before the new symbol, iff the symbol preceding it is one of + - * % ( , ->

For the example above, instead of getting the message HELLO, I would get ->cos(9). Note that since the key for L (Esc) does nothing, it is unfortunately impossible to know that the letter L was pressed, and this information is lost.

Your task is to convert a string of maths operations into the correct text.

Rules

• Some combinations are ambiguous; for example CGI, CIG, ICG all could have come from (/^2. In this case you can output any or all of them.
• You should assume the input will always be a valid combination that could have been produced using the rules above.
• You should never output Ls
• You may output the string in any case, with an optional trailing newline, but no other extra whitespace.
• This is code-golf. The shortest code in bytes wins.
• Standard rules and loopholes apply.

Test-cases

More coming soon.

      Input                 Output
----------------------------------------
789                    MNO
log(ln(^2))            ABC
cos((cos((9)           EIEIO
-->-                   YHY
3.14159                W UPUQO
(/^2                   CGI or CIG or ICG
<empty string>         <empty string>

_{* The % and / keys are both for division on the original calculator, but labelled something like ÷ and ☐/☐. Here I've just replaced them with simple ASCII equivalents. (did you know that both % and ÷ represent a fraction?) Also, there are other keys not shown (including the mentioned ALPHA), but they don't matter for this challenge.}

---

Meta

• Any feedback or suggestions?
• Is this clear enough?
• I considered adding some regular expressions to show more clearly what the rules mean, but decided not to because I though that should be part of the challenge. Was this the right decision?
• I will probably make another challenge that is the reverse of this - given a list of buttons that were pressed, produce the correct mathematical symbols. It might have made sense to post that challenge first as context for this one, but I thought this one is more interesting
• Regarding ambiguity: I could change some of the syntax rules to reduce the ambiguity but it would make things a lot more complicated and it couldn't be removed completely without straying significantly from the behaviour of the original calculator

Answer 2

Set of subsets without subsubsets

You are given two integers \$n\$ and \$k\$, and are to output a random collection of \$k\$ sets \$\mathcal A_1,\ldots,\mathcal A_k\$ such that:

• each \$\mathcal A_i\$ is a subset of \$\{1, 2, \ldots, n\}\$;
• no \$\mathcal A_i\$ is a subset of another \$\mathcal A_j\$.

Any collection which satisfies these constraints should have positive probability of being output.

Input/output is flexible.

You may assume that there exists at least one collection which satisfies the constraint; by Sperner's theorem, this is equivalent to the condition \$k\leq \tbinom{n}{\lfloor n/2\rfloor}\$.

Example outputs

The output is random, so these example collections should merely have positive probability of being output.

| n | k | possible output
| 2 | 2 | { {1}, {2} }
| 4 | 3 | { {1}, {2,3}, {3,4} }
| 4 | 6 | { {1,2}, {1,3}, {1,4}, {2,3}, {2,4}, {3,4} }
| 5 | 3 | { {1,2,3,4}, {2,5}, {3,5} }

This is code-golf, so shortest code in each language wins.

Answer 3

(Pan)consummate Vs

An integer \$v\$ is said to be consummate if there is an integer \$n\$ and a base \$b\$ such that \$n\$ divided by the sum of its base \$b\$ digits is equal to \$v\$.

An integer \$v\$ is said to be panconsummate if it is consummate in all bases \$b\geq 2\$. Panconsummate numbers are A058226 in the OEIS.

Your task:

Write a full program or function that takes a positive integer \$v\$ and returns two distinct, consistent values, one if \$v\$ is panconsummate, and the other if \$v\$ is not. However, the sum of your code's bytes must be panconsummate as well. Your code must work theoretically for any integer.

Truthy values:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 23, 24, 31, 34, 36, 37, 39, 40, 43, 45, 53, 54, 57, 59, 61, 69, 72, 73, 77, 78, 81, 85, 89, 91, 121, 127, 144, 166, 169, 211, 219, 231, 239, 257, 267, 271, 331, 337, 353, 361, 413, 481, 523, 571, 661, 721, 1093, 1291, 3097

Falsey values:

13, 16, 17, 19, 22, 25, 26, 27, 28, 29, 30, 32, 33, 35, 38, 41, 42, 44, 46, 47, 48, 49, 50, 51, 52, 55, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 74, 75, 76, 79, 80, 82, 83, 84, 86, 87, 88, 90, 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, 122, 123, 124, 125, 126, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167, 168, 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

Note that panconsummate numbers \$v>3097\$ must be at least \$10^6\$, and the OEIS speculates that the truthy values above are all panconsummate numbers.

decision-problem base-conversion integer code-golf code-challenge.

Answer 4

The Slices Puzzle Puzzle

Background

Slices is a puzzle game. Placed on a 2d map is a set of islands; possibly just a single island. Placed on each island is a set of points. The task is to draw a number of straight lines across the islands such that no point can be reached from another without crossing one of the drawn lines, or leaving an island. In other words, you partition the points with lines such that each partition contains at most one point on each island. For each level, you are given a maximum number of lines that can be drawn.

In the game illustrated below, drawing a straight line between the first and second row of points, and then a line between the second and third row of points, would create a valid partition of points.

Task

Your task is to write a solver for this game. The solver takes as input a set of islands, the set of points for each island plus the maximum number of lines which can be drawn. The input and output may be represented in any way, and the input may be hard-coded. Hard-coded input must show that your solution is sufficiently general. Any format will be accepted. For instance, you might implement this as a linear programme in the CPLEX format -- I haven't verified that this is possible -- or you might write some sort of brute force solution in in an imperative language. Maybe some other declarative solution works even more nicely.

Grading

Solutions will be judged by popularity. Things such as number of bytes in the solution, computational complexity (justify this if you want) and elegance could be considered.

Answer 5

Given a list of strings like this (input):

["some test", "{", "some", "_subst", "ring}", "some", "other text"]

Need to combine all the elements in to one for the given substring (input).

For example:

substring = "{some_substring}"

The output list of strings will be

["some text", "{some_substring}", "some other text" ]

Here are few more possible lists of strings:

input_list = ['some test', '{', 'sub', 'string}', 'som other text']
input_list2 = ['some test', '{sub', 'string}', 'som other text']
input_list3 = ['some test', '{', 'sub', 'string}', 'som other text']
input_list4 = ['some test', '{', 'sub', 'string', '}', 'som other text']
input_list5 = ['some test {', 'sub', 'string', '}', 'som other text']
input_list6 = ['some test {', 'sub', 'string', '} som other text']

substring can be any text and it does not need to be wrapped in to round braces. If substring appears multiple times in the input string than it should be replaced as well.

Note: Elements of the string that do not contain part of the input string should be the same instances. So creating a new list from joned string will not work for this problem.

Let say these strings carry additional information like style. So removing or replacing them will remove style as well

Signature of expected function to better understand problem.

def join_variable(input_list, substring):
    # implementation
    return output_list

Answer 6

Map the alternating group A5 to the rotations of a dodecahedron

8 years ago, the Math Stack Exchange was able to prove, in 523 characters of arcane incantation, that the alternating group A5 (ie all rearrangements of five objects that can be created by swapping two objects an even number of times) is isomorphic to the group of rotations of a dodecahedron that map vertices to vertices, edges to edges, and faces to faces. In my mind, 523 characters is far too many -- we can do better!

Challenge

To solve this challenge, take as input a member a of A5, represented as an even permutation of the first 5 integers, and output a 3x3 rotation matrix that maps a dodecahedron to itself. Your program must be an isomorphism: This means that your program must output a unique rotation matrix for each element a, and for any elements of A5 a, b, c such that a composed with b yields c, then YourProgram(a) * YourProgram(b) = YourProgram(c) (to within floating point precision, of course). Shortest program wins!

Example Input and Output

We present as an example one valid isomorphism, but any valid isomorphism is a permitted answer.

We assosciate the colored cubes [red, green, yellow, blue, black] with the numbers [1, 2, 3, 4, 5]. Then, for each permutation a in A5, our example outputs a matrix that rotates the figure shown so as to permute the colored cubes according to a.

[1, 2, 3, 4, 5] -> [[1, 0, 0][0, 1, 0],[0, 0, 1]]

[2, 3, 1, 4, 5] -> [[0, 0, 1], [1, 0, 0], [0, 1, 0]] (a 120 degree rotation along the axis (1, 1, 1)

[3, 4, 1, 2, 5] -> [[-1, 0, 0], [0, 1, 0], [0, 0, -1]] (a 180 degree rotation along the y axis ie coming towards the viewer)

[4, 2, 3, 5, 1] -> [[-0.3090170, 0.5, 0.8090170] [0.5, 0.8090170, -0.3090170] [-0.8090170, 0.3090170, -0.5]]

(a 60 degree rotation along the vector (1 / phi, phi, 0)

Answer 7

Battleships Board Validation

Do you know the game Battleship? Well, I want to play with my little brother, but before we can begin we need to set up our ships on the board. This is your input.

Now, we need to check that the ships that we set up are valid. This is where you come in to help. Your task is to write a program or function which checks whether the given 2d array (your board/input) is a valid board or not.

The input will be a 2d array, where 1 represents part of a ship and 0 represents part of the ocean.

The rules:

• There must be:
  • One battleship (size 4)
  • Two cruisers (size 3)
  • Three destroyers (size 2)
  • Four submarines (size 1)
• Any additional ships are not allowed, and neither are missing ships
• Each ship must be either vertical or horizontal (aside from submarines, which are a single grid space)
• The ships cannot overlap, but may be adjacent

Solutions may not use streams.

in addition, you must solve this with a BF function (normally the class will also be called BF) which receives the 2d array(input) and uses a validate function. Afterward, you are free to manipulate the 2d array however you want and add any functions that you want.

here are some more examples that you can use to check your code: is valid:

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

wrong ships, result is false-

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

missing ships, is false->

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

check contact, is true->

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

check another one with contact->

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

check invalid, is false->

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

random board which is true->

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

Who's code will be the shortest byte solution that passes all these examples successfully?! Good luck. ;)

Any language is allowed, but I'd like to see an answer in Java especially.

Tags: code-golfdecision-problemmatrixgame

link to the original post- Validating a Battleship board

this also my first post that I am doing. Whats a good way to decide who is the winner and in what time frame? help would be appreciated

(any sidenotes on how to improve?anything needing clarity?)

Answer 8

Solve a Cubic Equation

Input

• Your program will take in the integer coefficients of the equation \$ax^3+bx^2+cx+d=0\$ as inputs (a, b, c, and d)
• All solutions are between 1000 and -1000.
• a is nonzero

Output

• All real solutions of the input equation, with an accuracy of at least the thousandths place.

Rules

• Built-in equation solver are not allowed
• Native math libraries that do not solve equations may be used
• If you have any questions, please ask in comment

Examples

Input:

1 2 3 4

Output:

-1.651

Another Valid Output:

-1.651 -1.651 -1.651

Input:

1 3 0 -1

Output:

-2.879 -0.653 0.532

Worked Example (C++) doesn't work with two roots

Try it online!

#include <iostream>
#include <cstdio>
using namespace std;
int main()
{
   double a,b,c,d;
   scanf("%lf%lf%lf%lf",&a,&b,&c,&d);
   for(double i=-100;i<=100;i+=0.0001)
   {
      double j=i+0.0001;
      double y1=a*i*i*i+b*i*i+c*i+d;
      double y2=a*j*j*j+b*j*j+c*j+d;
      if(y1>=0&&y2<=0||y1<=0&&y2>=0)
      {
         double x=(i+j)/2;
         printf("%.3lf ",x);
      }
   }
}

Answer 9

Win a K vs KQ endgame

Summary

The goal of this challenge is to create a program or function which will win a Chess game with a King and Queen against a lone King. The user will specify three squares, representing the locations of the computer's King, the computer's Queen, and the user's King. The computer will then a output a move which will eventually lead to checkmate.

Input/Output

The program or function will first take as input three squares, representing the locations of the computer's King, the computer's Queen, and the user's King (not necessarily in that order). It can be assumed that the input is a legal position.

Parsing input is not the point of this challenge, so all reasonable forms of input/output are allowed, including but not limited to

• Strings with algebraic chess notation such as "Ke4" or "Qf6"

• Triples representing pieces and coordinates such as ('K', 0, 2)

After three squares are taken as input, the computer outputs a single legal move. Behaviour on invalid input is undefined.

Requirements

This procedure must terminate using your program or function:

• User sets up a legal KQ vs K position on a physical chessboard.

• User inputs the board position. The computer outputs a legal move. If the move is a checkmate, STOP.

• User makes the computer's move on the physical board.

• User makes a legal move for the lone king on the physical board.

• User goes to step 2 and repeats.

In other words, the computer must eventually win by checkmate, through repeatedly using your program or function.

Furthermore, from any legal starting position the checkmate must occur in 50 or fewer moves by the computer.

(Of course, a physical chessboard is in no way necessary to test the code; I only mentioned it to help visualize the procedure. The chessboard could just as well be visualized in the user's head.)

Possible test cases

The squares are given in the order: computer's Queen, computer's King, user's King

• c2, h8, a1 (must avoid stalemate)
• a1, a2, a8
• a8, a1, e5

Rules

• The checkmate must occur in 50 or fewer moves by the computer, but it does not need to be as fast as possible.
• Chess libraries are not permitted.
• Shortest program in each language (in bytes) wins.

Questions for sandbox

How can I word the rules better if they are not currently sufficiently clear?

Answer 10

Posted

Answer 11

Is this a narrow Thumb instruction?

ARM Thumb was originally a 16-bit only subset of the 32-bit ARM instruction set.

However, later versions added 32-bit "wide" instructions which were more flexible, and called the original, more restrictive 16-bit instructions "narrow" instructions.

The assembler now chooses between narrow and wide instructions automatically, depending on how the instruction was written. However, this meant that the syntax had to be changed to have specific rules.

Your job is to be this assembler.

However, the programs you parse are not that interesting; they will only ever consist of add and adds.

More specifically:

Your task is to write a function or program that will take an add/adds instruction, and return a truthy value if it is a valid narrow instruction, or a falsey value if it is not.

Syntax rules

• ARM has 16 registers, r0-r12, r13 (aka sp), r14 (aka lr), and r15 (aka pc). For ease of parsing, we are going to refer to all registers by their number, instead of using the special register names.
• Do note the names when reading the official docs, as there are a lot of special cases for sp and pc.
• In Thumb mode, these are split into "Lo registers", which are r0-r7, and "Hi registers" which are r8-r15. Many instructions can only use Lo registers.
• Many instructions use the same source register as the destination register, even if they are written with three operands.
• add and adds are distinct instructions. adds affects the condition flags, while add does not. That is the difference, if you were wondering.

The following 6 forms are valid for narrow instructions (adapted from here):

1. adds x, y, #imm: x and y must both be Lo registers, and imm is a 3-bit constant from 0-7.
2. adds x, y, z: x, y, and z must all be Lo registers.
3. add x, x, y: x and/or y must be Hi registers. Note that x is repeated twice.

• We are ignoring the fact that ARMv6 relaxed this rule to keep it interesting.

4. adds x, x, #imm: x must be a Lo register. imm is an 8-bit constant from 0-255. Again, note that x is repeated twice.
5. add r13, r13, #imm: imm is a constant multiple of 4 in the range 0-508.
6. add x, y, #imm: x must be a Lo register, and y must either be r13 or r15. imm is a constant multiple of 4 in the range 0-1020.

Everything else is either a wide instruction or not valid.

Other notes

Standard loopholes, everything must be self-contained, and you are only allowed to treat it as text. You can't feed it to an assembler (unless you include the assembler source code in the result, but.. ｗｈｙ).

The input can either be a string argument or text from stdin.

You can assume the format will match the following format (all lowercase, separators being a single space):

{add or adds} reg, reg, {#imm or reg}

Where imm is a non-negative number in base 10 (yes, including zero).

As a regex pattern:

^adds? r([0-9]|1[0-5]), r([0-9]|1[0-5]), (#[0-9]+|r([0-9]|1[0-5]))$

Reference implementation

In case the rules are difficult to follow, here is a reference implementation I made in C. Yes, I deliberately overabstracted it to make you do all the work.

I resisted the urge to post the reference implementation in ARM Thumb assembly, as that would be genuinely evil. 😏

You will not need to do the same error checking I did here. You can always assume the string itself is valid. The error checks in the main function are mostly to show what CAN'T happen.

#include <stdlib.h>
#include <stdint.h>
#include <stdio.h>
#include <stdbool.h>
#include <errno.h>
#include <inttypes.h>

struct thumb_add_insn {
    char opcode[5];
    uint32_t op1;
    uint32_t op2;
    char op3_prefix;
    uint32_t op3;
};

// Returns whether the opcode ID is adds.
static inline bool is_adds(const char *opcode)
{
    return strcmp(opcode, "adds") == 0;
}

// Returns whether this register ID belongs to a Lo register,
// specifically r0-r7.
static inline bool is_lo_reg(uint32_t reg_id)
{
    return reg_id <= 7;
}

// Returns whether this register ID belongs to a Hi register,
// specifically r8-r15.
static inline bool is_hi_reg(uint32_t reg_id)
{
    return reg_id >= 8;
}

// Returns whether the operand prefix is for an immediate
// value, specifically, '#'.
static inline bool is_imm(char c)
{
    return c == '#';
}

// adds x, y, #imm3
static bool is_form_1(const struct thumb_add_insn *insn)
{
    return is_adds(insn->opcode)
        && is_lo_reg(insn->op1)
        && is_lo_reg(insn->op2)
        && is_imm(insn->op3_prefix)
        && insn->op3 <= 7;
}

// adds x, y, z
static bool is_form_2(const struct thumb_add_insn *insn)
{
    return is_adds(insn->opcode)
        && is_lo_reg(insn->op1)
        && is_lo_reg(insn->op2)
        && !is_imm(insn->op3_prefix)
        && is_lo_reg(insn->op3);
}

// adds x, x, #imm8
static bool is_form_3(const struct thumb_add_insn *insn)
{
    return is_adds(insn->opcode)
        && is_lo_reg(insn->op1)
        && insn->op1 == insn->op2
        && is_imm(insn->op3_prefix)
        && insn->op3 < 256;
}

// add x, x, y
static bool is_form_4(const struct thumb_add_insn *insn)
{
    return !is_adds(insn->opcode)
        && !is_imm(insn->op3_prefix)
        && (is_hi_reg(insn->op1) || is_hi_reg(insn->op3))
        && insn->op1 == insn->op2;
}

// add r13, r13, #imm
static bool is_form_5(const struct thumb_add_insn *insn)
{
    return !is_adds(insn->opcode)
        && insn->op1 == 13
        && insn->op1 == insn->op2
        && is_imm(insn->op3_prefix)
        && insn->op3 <= 508
        && insn->op3 % 4 == 0;
}

// add x, y, #imm, y == r13 or r15
static bool is_form_6(const struct thumb_add_insn *insn)
{
    return !is_adds(insn->opcode)
        && is_lo_reg(insn->op1)
        && (insn->op2 == 13 || insn->op2 == 15)
        && is_imm(insn->op3_prefix)
        && insn->op3 <= 1020
        && insn->op3 % 4 == 0;
}

// Parses a Thumb add/adds instruction.
// Returns 1 if it is a narrow instruction, 0 if it is not,
// and -1 on an error.
int is_narrow_add(const char *str)
{
    // Note that you do not have to do error checking for the
    // competition.

    if (str == NULL) {
        errno = EINVAL;
        return -1;
    }

    // Allocate a 24 byte struct on the heap for good measure
    struct thumb_add_insn *insn = calloc(1, sizeof(*insn));
    if (insn == NULL) {
        return -1;
    }

    // Parse the instruction with sscanf.
    // {adds} r{0}, r{3}, {#}{3}
    if (sscanf(str, "%4s r%"SCNu32", r%"SCNu32", %c%"SCNu32,
               insn->opcode,
               &insn->op1,
               &insn->op2,
               &insn->op3_prefix,
               &insn->op3) != 5
       || (strcmp(insn->opcode, "add") != 0
          && strcmp(insn->opcode, "adds") != 0)
       || insn->op1 > 15
       || insn->op2 > 15
       || (insn->op3_prefix != 'r' && insn->op3_prefix != '#')
       || (insn->op3_prefix == 'r' && insn->op3 > 15)
    ) {
        errno = EINVAL;
        free(insn);
        return -1;
    }

    int ret;
    // Test against each of the forms
    if (is_form_1(insn)) {
        ret = 1;
    } else if (is_form_2(insn)) {
        ret = 1;
    } else if (is_form_3(insn)) {
        ret = 1;
    } else if (is_form_4(insn)) {
        ret = 1;
    } else if (is_form_5(insn)) {
        ret = 1;
    } else if (is_form_6(insn)) {
        ret = 1;
    } else { // not a match
        ret = 0;
    }

    free(insn);
    return ret;
}

Test cases

adds r6, r3, #0    // true, form 1
adds r0, r1, #7    // true, form 1
add r0, r1, #3     // false, must be "adds"
adds r0, r9, #1    // false, r9 is a Hi register
adds r0, r1, #9    // false, must be 0-7

adds r0, r0, r0    // true, form 2
adds r7, r1, r2    // true, form 2
adds r4, r4, r1    // true, form 2
add r7, r1, r2     // false, must be "adds"
adds r13, r14, r6  // false, r13 and r14 are Hi registers (this isn't even valid as a wide instruction)

adds r0, r0, #0    // true, form 3
adds r5, r5, #249  // true, form 3
add r6, r6, #31    // false, must be "adds"
adds r3, r3, #256  // false, must be 0-255
adds r8, r8, #72   // false, r8 is a Hi register

add r4, r4, r11    // true, form 4
add r8, r8, r5     // true, form 4
add r9, r9, r9     // true, form 4
add r14, r14, r12  // true, form 4
add r8, r9, r10    // false, Rd must be the same
add r1, r1, r0     // false, one must be a Hi register (we are ignoring the ARMv6 change)

add r13, r13, #0   // true, form 5
add r13, r13, #48  // true, form 5
adds r13, r13, #64 // false, must be "add"
add r13, r13, #17  // false, not a multiple of 4
add r13, r13, #512 // false, must be 0-508

add r0, r15, #0    // true, form 6
add r4, r13, #1000 // true, form 6
add r11, r13, #32  // false, r11 is a Hi register
add r2, r13, #4000 // false, must be 0-1020
adds r7, r15, #384 // false, must be "add"
add r3, r15, #127  // false, not a multiple of 4

Things you can safely ignore:

// String will never be empty
adds r1, r2 // don't worry about implicit middle operand
adds R4, #12 // same
adds r3, r3, #-3 // adding a negative is not even a thing
add r0, r0, r99 // the only registers are r0 - r15
add r13, r13, #0x32 // it is base 10
subs r1, r1, r2 // only add and adds need to be handled
add r2, r2, lr // you don't need to handle the special names
add r0, sp, #0 // same
add #3, r1, r1 // only the last one will be an immediate
adds r3, r3, 32 // all immediates are prefixed with #
ADDS R0, R0, R1 // everything is lowercase
adds        r2,     r3 , r4 // only one space
adds r2,r3,r4 // there will always be spaces
addeq r0, r0, r1 // no IT blocks
adds.n r0, r0, r1 // no manual width specifiers
add r1, r2, r3, lsl #8 // no barrel shifting

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

Proposed tags: code-golfstringparsing and maybe assembly but I think that is for things you must write in assembly, not parsing assembly itself.

Answer 12

Hanabi playing bot

Overview

Hanabi is a cooperative card game with limited communication. It won the German "Spiel des Jahres" award in 2013.

The game can be played by 2-5 players, each of which has a hand of 5 cards (4 cards for 4-5 players), which they can't see themselves, but the other players can. In each turn, you can either play or discard a card, or give one other player a hint about their cards.

Common goal is to play out the cards in each color in ascending order.

As this is a cooperative game, each answer needs to cooperate with other instances of itself.

I/O format

Option 1: stateless, for all languages

Your program is called once for each turn (and is supposed to terminate afterwards). It will receive the current game state via standard input, and reply with an action via standard output. Invalid output means this game is counted as forfeited (lost, 0 points).

Input

Input is a line-based ASCII-format, with a prefix indicating what kind of data it is. The last line of the input is the current turn number (see below). Input will be in this order:

1. Meta-information: n: n = number of players (2 .. 5) y: you = own player id (1 .. n)

2. visible cards of the other players:

   • c 1: cards for player 1
   • ...
   • c n: cards for player n

   The cards for you are omitted in the list (you don't see your own cards).

   Each card has a color (one of r, y, g, b, w) and a number (1 to 5), written like r1 or y5, comma-separated.

   Example: c 2: w4,y1,g2,r3 means that player 2 has a white 4, a yellow 1, a green 2 and a red 3, in this order, on her hand.

3. Hints given about each player's cards, in a similar list:

   • h 1: hints for player 1
   • ...
   • h n: hints for player n

   For each card (in the same order as before), all hints are noted, in a comma-separated list. We also note negative information, i.e. when a card was present when a hint was given, but was not selected, by prefixing with !. For example 5 is a card which is known as 5 but of unknown color, w1 is a card which is known as a white 1, 3!y is a 3 which is known as not yellow, g!15 is a green card which is known as neither being a 1 nor 5.

   For example, h 2: ,y!2,2!yr,r means that for player 2, the first card is completely unknown (was taken after the last hint), the second card is known as yellow and as not a 2, the third card is known as a 2 which is neither red nor yellow, and the fourth card is known as red.

4. p color: number – already (successfully) played out cards (one per line). Here we just note the highest card of each color.

   • p r: 2 means for red, the 1 and two were played out (i.e. red 3 is the next one to play).
   • p w: 0 means no white card was played out yet (i.e. the white 1 is the next one to play).

5. d: – Discarded cards A list of all cards which were either intentionally discarded or unsuccessfully played out, comma-separated.

   For example, d: w3,b5,y2,y2 means that white 3, blue 5 and two yellow 2s were already discarded.

6. game status information (each on one line, in this order): lh: number of hints left, ld: number of discards left (those two always sum to 8), lb: number of "bad plays" left lc: number of cards left in the deck t: current turn number

(The input will be closed here.)

Output

The action to take. One of

• h player-id color or number – give a hint to another player. E.g. h 4 y will give player 4 a hint which of his cards are yellow. h 3 1 will give player 3 a hint which of her cards are a 1. This action is only possible if the number of hints left is positive. (The number of hints left will be reduced by 1, the number of discards will be increased by 1.)
• p card# – play one of your own cards (identified by its number (1..5)). (If this card fits into the cards already played, it's added there. (If this is the last 5, the game ends immediately with full score (25)). Otherwise it is discarded and the number of bad plays is reduced by 1. If it reaches 0, the game ends (unsuccessfully).)
• d card# – discard one of your own cards (idenfified by its number (1..5)). This is only possible if the number of discards is positive. (The number of hints left will be increased by 1, the number of discards will reduced by 1).

After playing or discarding a card, this card is removed from the hand, and a new card is drawn from the deck and is added to the list of cards of this player (on the left). (The hints are automatically updated.)

Option 2 (stateful)

Your program receives a live transcript of everything what happens (including the actions of the other players, and the results thereof). The controller will read one line of output from the program when it's its turn.

Input

Most input lines have the same format as before.

Initial input (as for the stateless version):

1. Meta information (n: , y: )
2. other player's cards (as before)
3. hints for cards (as before)
4. played cards (initially just p r: 0, p w: 0, etc.)
5. discarded cards (initially just d: )
6. game status, ending with t: 1.

After each player's turn:

1. a line is given with that player's action: a player id: the action as defined in the output, e.g. a 1: h 4 y means that player 1 gave a hint to player 4 about yellow cards
2. Those parts of the card situation which changed, e.g. c and d lines if a player discarded a card (or unsuccessfully played a card) and drew a new one), c and p lines if a player played out a card successfully, a h line if a player gave a hint.
3. Updated status information, e.g. lh + ld when hint was given or a card discarded, lc when a new card was drawn, lb when a card was played unsuccessfully.
4. t: indicating the next turn number.

*(TODO: Do we need an indication that's now your turn? That can be calculated by y == t mod n, but an explicit prompt might be easier to handle.

When the game ends, the input will be closed. (Your bot should terminate then.)

Output

As in the stateless version, one line indicating the player's action.

Option 3/4 (JVM only, stateless or statefull)

To be defined. As I will be writing the controller in a JVM language, it should be possible/easy to provide a Java API to be implemented by the bots.

Other game rules:

I tried to give most of the details above, but here are some which might be missing/unclear:

• There are three × 1, two × 2 to 4 and one 5 in each of the five colors (50 cards in total, 10 per color).

• When playing with 2 or 3 players, each player has 5 cards, when playing with 4 or 5 players, each player has 4 cards in their hand.

• If you have three bad plays (i.e. the lb counter reaches 0), you lose immediately. This is counted as score 0.

• If you succeed to play all 25 cards (i.e. all 5s are played successfully), you win immediately, with a score of 25.

• When the drawing deck is exhausted, one more round is played (i.e. each player has one more turn), then the game ends and the final score is the number of cards successfully played out.

Competition Rules

• While for human play, the amount of extra communication is "subject to negotiation", here I want to explore what is possible with just what the rules provide. Any communication between your bot instances (except as provided by the defined interface, i.e. via game actions) is strictly forbidden. Strategy needs to be encoded in the source code, not discussed during the game.

• There is also no communication between your individual games (i.e. no persistence).

• I will nominate an overall winner, and one for the stateless category. (The stateful ones have a bit more information, so they could emulate the stateless ones.)

• I will run contestants 1000 times with random decks of cards, once for each number of players from 2 to 5. If your bot only works with a specific number of players, state this in your answer. The competition score is the average score for all the runs. [I'll need to experiment to see how this varies, maybe I'll increase or decrease the count.]

• A bot needs to provide output in a reasonable time (to be defined). The stateless version needs to terminate after providing output, the stateful one keeps running, but should terminate after end of input (i.e. after the game ended).

• I will provide the controller on Github, feel free to test your bot with it (and compare it with other competition entries).

• The programming language needs to have an interpreter or compiler which is available free of cost for Ubuntu 20.4 (otherwise I can't run your bot to score it).

• I reserve the right to not run a bot when I suspect malicious code in it.

• This is not code-golf, please keep your code readable.

Answer 13

Write a Length interpreter

Length is a simple stack-based esolang where instructions are encoded as line lengths The instruction set is as follows:

Line Length	Name	Description
9	inp	Pushes the ascii value of the first byte of stdin to the stack.
10	add	Adds the top two values on the stack and pushes the result onto the stack.
11	sub	Subtracts the top two values on the stack and pushes the result onto the stack.
12	dup	Duplicates the top value of the stack.
13	cond	If the top value of the stack is 0, skip the next instruction. Then pop it.
14	gotou	Sets the program counter to the value of the line under the instruction.
15	outn	Pops the top of the stack, and outputs it as a number.
16	outa	Pops the top of the stack, and outputs its ascii value.
20	mul	Multiplies the top two values on the stack and pushes the result onto the stack.
21	div	Divides the top two values on the stack and pushes the result onto the stack.
24	gotos	Sets the program counter to the value at the top of the stack

In case the table doesn't work, here is the esolangs page: https://esolangs.org/wiki/Length
Test inputs are too long to put here, they can be found here
helloworld.len - Outputs Hello, World!
truth.len - A truth machine
bottles.len - Outputs the lyrics to 99 bottles of beer
This is a code golf, so shortest program wins!

Answer 14

Radiation Showdown (WIP)

king-of-the-hill radiation-hardening restricted-source

---

Two radiation-hardened programs will go head-to-head to destroy each other.

Your task is to create a program which takes the other program's source as input and output the index of the byte that should be deleted from the other program. (zero-indexed)

Each program will be radiated at the same time. The first program to fail to return a valid index after being radiated loses (whether by compiler error, runtime exception, out-of-bounds output, or some other means), or it is considered a draw if both fail at the same time.

Each program will compete against each other program. The program receives 1 point per round survived. The overall winner is the one with the most points.

Programs are limited to a length of 1024 bytes.

---

Alternate possibilities:

(Inspired by @Dingus) A hash of the opponent's original source code and a list of the indexes of bytes deleted so far is passed in instead of the current source code, making it a bit more of a blind guess as to what you radiate. If at any time, a program makes a guess it has already made, it loses. This turns it into a sort of "Radiation Battleship"

Answer 15

Print a 3D shape

Posted

Answer 16

Quine Countdown! quine code-golf

Write a program that accepts a single parameter n and outputs another program that outputs another program etc until the nth call outputs the original input n again.

Scoring is a modified version of codegolf: For input 100, add together the code length of each program in the chain, excluding the final 100. This is your score. Lowest score wins!

Answer 17

Counting set bits in a byte

Here is a bite-sized problem I ran in to when trying to implement Conway's game of life on a microcontroller, and was trying to count the amount of neighbours: How can you check how many bits are set in a byte?

Challenge

Given one byte of input data and an integer N between 0 and 8, check if there are exactly N bits set in the byte.

Test cases

N = 0, input = 0b00000001 -> False 
N = 0, input = 0b00000000 -> True 
N = 3, input = 0b01001001 -> True 
N = 3, input = 0b11100000 -> True 
N = 3, input = 0b00001111 -> False 
N = 7, input = 0b11101111 -> True 
N = 7, input = 0b11111110 -> True 
N = 8, input = 0b11111111 -> False 

Sandbox question

• My first intuition to solving this problem was to shift the bits out one by one, AND with 0x01 and count them. I feel however it must be possible to do something more efficient in terms of CPU cycles used. How can I make a challenge that is about optimizing instruction count and memory usage rather than on program-size? I have seen the fastest-code tag, but I don't know what scoring method best to use.

Edit: Closing after some good comments and possible solutions

Arnauld and CristoLosoph gave some great comments and led me to conclude that my issue is maybe to hardware/language specific to fit in a nice coding challenge. CristoLosoph showed me this interesting code snippet which I think is quite efficient:

uint8_t count_bits(uint8_t x){
     x = ((x & 0b10101010) >> 1) + (x & 0b01010101); 
     x = ((x & 0b11001100) >> 2) + (x & 0b00110011); 
     x = ((x & 0b11110000) >> 4) + (x & 0b00001111); 
     return x;
}

Two other things I learned:

• Some hardware have a builtin POPCNT instruction in their instruction set, and gcc has a __builtin_popcount() method that does exactly what I was looking for
• I found in this question that it's an interesting trade-off (as with most embedded functions probably) to just make a lookup table containing all 256 possible return values. It takes some memory but not too much.

I also learned that atomic-code-golf probably would have been a good fit for this type of challenge!

Once again thanks for the interesting comments!

Answer 18

Mix my colors

This challenge is inspired by the Color Alchemy Patch on NetHack, notably incorporated by UnNetHack 3.5.2.

Objective

Given two strings indicating colors, mix them according to the rules below, then output it.

Colors

There are 16 colors in total that are valid inputs. They are categorized to 8 chromaticities and 2 brightnesses, like below:

        Light    Dark
Hueless white    black
Red     pink     ruby
Blue    sky-blue indigo
Yellow  yellow   golden
Orange  orange   amber
Green   emerald  dark-green
Purple  puce     magenta
Brown   ochre    brown

(I'm omitting gray, for it will make this challenge just cumbersome in this regard.)

Note that all color names are in lowercase.

Color-mixing rules

• Above all, mixing colors is idempotent.

• Mixing colors is commutative unless noted below.

• When mixing two primary colors (Red, Blue, or Yellow):

  • If they have same chromaticities, the result will also be in the same chromaticity.

  • Mixing Red and Blue results in Purple.

  • Mixing Red and Yellow results in Orange.

  • Mixing Blue and Yellow results in Green.

• When mixing two secondary colors (Orange, Green, or Purple):

  • If they have same chromaticities, the result will also be in the same chromaticity.

  • All other combinations result in Brown.

• For all cases covered by above, mixing two Light (resp. Dark) colors will result in corresponding Light (resp. Dark) color.

• For all cases covered by above, mixing a Light color and a Dark color shall result in either Light or Dark. This is the only rule that may break the commutativity.

• Mixing a Light color with black results in corresponding Dark.

• Mixing a Dark color with white results in corresponding Light.

• All combinations not covered by above fall in don't care situation.

Examples

Valid outputs

• Mixing white and white results in white.

• Mixing pink and pink results in pink.

• Mixing pink and ruby results in either pink or ruby.

• Mixing ruby and golden results in amber.

• Mixing sky-blue and ruby results in either puce or magenta.

• Mixing emerald and dark-green results in either emerald or dark-green.

• Mixing emerald and orange results in ochre.

• Mixing puce and amber results in either ochre or brown.

• Mixing white and ruby results in pink.

• Mixing ochre and black results in brown.

Don't care situations

• Mixing pink and white falls in don't care situation. There is no rule that covers this case.

• Mixing ochre and brown falls in don't care situation. There is no analogous rule for tertiary colors.

• Mixing indigo and magenta falls in don't care situation. There is no rule for mixing a primary color and a secondary color.

• Mixing indigo and orange falls in don't care situation.

• Mixing pink and ochre falls in don't care situation.

• Mixing white and black falls in don't care situation. (In the game, it results in gray, but I'll ignore this, for sake of simplicity of this challenge.)

Rules for code golf

• Input format is flexible. In particular, it can be two strings, or one string separating colors by whitespaces. It's implementation-defined whether to accept leading or trailing whitespaces.

• Output format is also flexible. Outputting leading or trailing whitespaces is okay.

• Invalid inputs fall in don't care situation.

Answer 19

Longest Common Suffix

Given arbitrarily many (more than 4) words, your goal is to find the longest common suffix of all of them.

Rules

1. The suffix shouldn't be longer than one third of the length of any word, and should be longer than 2 characters.
2. The words can have at most one "exception" among them, that is, it doesn't have the same suffix others have. You should ignore these "exceptions".
3. If no suffix can satisfy all rules above, do not make any output.
4. All given words are separated by spaces; they only contain lower case English alphabets.
5. You can use any way to accept input, but output should only be in STDOUT.

Example

Given: television operation delegation repetition
Output: ion

Given: vision decision subtraction observation
Output: 

Why? The suffix, ion, is longer than 1/3 the length of vision and decision. There're two exceptions.

Given: interested congratulated excited overjoyed
Output: ted

Why? overjoyed is an exception, because others have the suffix ted, but it doens't. So we ignore the word overjoyed.

Given: abcdefghijkl bcdefghijkl cdefghijkl defghijkl
Output: jkl

Why? defghijkl is the longest, but it is longer than 1/3 the length of defghijkl.

This is code golf, so the shortest code win.

It's not recommended to use built-in functions which directly returns the result.

Answer 20

Compile Roman Numerals to <some language>

code-golfroman-numerals

Your code will, given an integer i, output code code(i) in any programming language that will evaluate to (print, push, return) i by itself. code(i) ++ code(i') should evaluate to i + i' for an i' <= i and i' - i for an i' > i. You do not have to handle cases like code(1) ++ code(2) ++ code(3) where there are more than one number less than 3 before 3, but you should handle code(5) ++ code(3) ++ code(4) => 6 with more than two numbers.

Clarification: the generating code takes a number, not a roman numeral, but the generated code is expected to have the behaviour of a roman numeral when concatenated with other outputs.

Examples

if  yourcode(10) -> 'X'
and yourcode(5)  -> 'V'
then eval('XV')  -> 15.

if  yourcode(1)  -> 'I'
and yourcode(10) -> 'X'
and yourcode(5)  -> 'V'
then eval('XIV') -> 14

if  yourcode(7)  -> 'a'
and yourcode(3)  -> 'b'
then eval('ab')  -> 10
and  eval('ba')  -> 4

Scoring

Your answer is scored by the total bytes of the generating code.

Answer 21

Next to the middle

Posted

Answer 22

Golf this Thumb-2 constant!

Posted.

Answer 23

(this is the core of the BF memory optimizer challenge.)

(At the moment I still need to make some test cases; however you can still review the rest of the challenge.)

note: This problem is reducible from Simple Max Cut, therefore it's NP-complete. (https://doi.org/10.1016/0304-3975(76)90059-1)

note: While I did get a bunch of test cases from this site, I'm not sure how can I write a reasonable algorithm to compete with...

---

Proof

(actually this is not part of the sandbox challenge, but I'll post it here because it's related)

---

First, for convenience, assume that the problem is represented by a undirected graph, where the number of rows/columns of the matrix is equal to the number of nodes, and the corresponding weight is the sum of the value of the edges connecting the corresponding two nodes.

With that representation, the value to be minimized is the sum of the product of the edge lengths and the edge weights, with the graph nodes embedded into the point \$ 1, 2,\ldots, |V| \$.

---

From a Simple Max Cut problem of the form:

Given \$ n \$ variables \$ x_1, x_2,\ldots, x_n \$, maximize the value of \$ \sum_{i=1}^m [a_i \ne b_i] \$, where each of \$ a_i, b_i \$ represents either a variable or its negation.

It can be transformed to an instance of this problem:

First, construct \$ 2n \$ nodes on a graph, denoted \$ p_1, p_2,\ldots, p_n, q_1, q_2,\ldots, q_n \$. Let \$ a \$ be some positive integer. Connect those vertices:

• \$ p_1 \$ and \$ q_1 \$, with cost \$ 2n^2 a \$,
• the 4 pairs of vertices \$(p_1, p_i),(p_1, q_i),(q_1, p_i),(q_1, q_i)\$ with cost \$ (n+1-i) a \$, for each \$ i=2, 3,\ldots, n \$,
• and some other edges with small weights (the sum of their weights should be less than \$a\$ -- (1)) that mainly does not affect the optimal configuration.

The sum of the edge weights (except the first one) is \$ 4 ((n-1)+(n-2)+\ldots+1)a=2n(n-1)a \$.

The edge between \$ p_1 \$ and \$ q_1 \$ has a weight larger than the sum of all the others, it's obvious to see that in the optimal (minimum cost) configuration, these two must be adjacent.

Then, regardless where those 2 vertices are placed, the \$ i \$'th smallest distance-pair to those are at least the \$ i \$'th value in the sequence are

$$(1, 2),(1, 2),(2, 3),(2, 3),(3, 4),(3, 4),\ldots,(n-1, n),(n-1, n)$$

.

And by the rearrangement inequality, it's optimal to place the weight so that the vertices with the smaller edge-weight to \$ p_1, q_1 \$ are placed further from the vertices. Therefore the only optimal placement is

$$z_n, z_{n-1}, \ldots, z_2, z_1, z_1, z_2, \ldots, z_{n-1}, z_n$$

where each \$ z_i \$ is either \$ p_i \$ or \$ q_i \$ (\$1 \le i \le n\$).

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Encode the condition "vertex \$ i \$ is on the left side of the cut" by "\$ p_i \$ is to the left of \$ q_i \$ in the permutation". (2)

Assuming that the edge weights are allowed to be fractional.

For each condition (in the Simple Max Cut problem) that "there's an edge between vertices \$u\$ and \$v\$ (\$ u\le v \$)", add an edge between \$ p_u \$ and \$ q_v \$ with weight \$\frac 1 {2u-1}\$ to this problem.

The weight of this edge can either be \$ u-v \$ or \$ u-v+(2u-1)\$ in the configuration that minimizes the total weight of the edges constructed in the previous section.

Therefore, if the vertices \$ u \$ and \$ v \$ are on different sides of the cut (according to the encoding (2)), the total weight is decreased by \$ 1 \$ if \$ u \$ and \$ v \$ are on different sides; and the configuration with the minimum weight is exactly the one with maximum number of edges cut.

However, in the actual problem edge weights must be an integer. We replace each edge weight \$\frac 1 {2u-1} \$ by \$\lceil\frac c {2u-1}\rceil \$, where \$ c=2nm\$.

Because there are \$ m \$ edges in total, if the sum of any \$ k-1 \$ increment values \$\lceil\frac c {2u-1}\rceil (2u-1) \$ is strictly less than the sum of any \$ k \$ increment values, for \$1\le k\le m \$, then the optimal sum is also the maximum cut.

Observe that because \$ c=2nm \$ and \$ x\le 2n-1 \$, each increment value must be between \$ 2nm \$ (inclusive) and \$ 2nm+2n-1 \$ (exclusive). Therefore the maximum sum of \$ k-1 \$ values is \$ (2nm+2n-2)(k-1) \$, which is less than the minimum sum of \$ k \$ values \$ 2nmk \$ when \$ 1\le k\le m \$.

The sum of all those does not exceed \$ \lceil \frac {2nm}{1} \rceil m \$. Therefore if \$ a \$ is chosen to be \$ 2nm^2+1 \$, then the condition (1) is satisfied.

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Minimum cost matrix permutation

fastest-code (or optimized-output? Obviously the latter would be more useful in practice code golf)

Given a matrix \$w\$ in \${\mathbb N_0}^{n\times n}\$, define the symmetric matrix \$d\$ in \${\mathbb N_0}^{n\times n}\$ by the formula \$d_{i,j}=\left| i-j \right|\$, find a permutation matrix \$P\$ such that the sum of elements in the matrix \$(P^{\mathsf T} \cdot w \cdot P ) \,\odot\,d\$ (where \$\odot\$ denotes the Hadamard product/element-wise product) is smallest.

The result will be the mean (TODO: median? mean of the 50% maximum? mean result/naive ratio?) of the score over these test cases, for as long as you can run your program.

Answer 24

(WIP) Settling the Lands of Codegolfia

king-of-the-hill grid

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The challenge controller will randomly generate a 200x200 map representing the terrain of the land

Your task is to write an AI whose goal is to have the largest population after 500 turns.

Start

Each player begins with 1 cell claimed and a population of 100.

Turns

On each turn, you have the opportunity to claim land cells. You can claim 1 cell per turn, plus 1 per 1000 population. Claimed cells must be orthogonally adjacent to a cell you already own. You cannot claim cells belonging to other players.

Turns happen simultaneously. In the event that two players attempt to claim the same cell, both players will lose 10 people from their population and neither player will claim the cell.

At the end of your turn, your population grows by 10% (rounded up), up to the maximum size your colony can support.

Population Support

Without any land claimed, your colony can support up to 150 people.

Supporting larger populations requires claiming land. Each terrain type increases the amount by some amount. Combinations of terrain expand this further.

Terrain

There are 4 terrain types:

• Plains
  • Supports 20 people by itself
  • Supports 5 per adjacent owned plains
• Forest
  • Supports 10 people by itself
  • Supports 5 per adjacent owned forest
  • Supports 50 additional people if there are at least 10 owned plains cells within 10 cells (Manhattan distance)
• Mountains
  • Supports 5 by itself
  • Supports 5 per owned plains within 15 cells
  • Supports 10 per owned forest within 5 cells
• Water
  • Each plains cell can support 500 additional people if it is within 5 cells of an owned water cell.
  • Each forest cell can support 200 additional people if it is within 10 cells of an owned water cell.

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Alternative ideas for terrain

• Plains support raw population. Same as above
• Forest cells increase population support for all plains within 5 cells by a factor of 5% (stacks multiplicatively)
• For every water cell and 10 plains cells, reproduction rate increases by 1%
• Each mountain cell increases the range of each owned mountain and forest within 3 cells by 1. (stacks additively)

Answer 25

Heads I win, tails you booze: coin tossing, pub trivia style code-golf probability-theory game

At my old pub trivia night, a free jug of beer or bottle of wine was awarded to the team that won Heads or Tails. This game requires players to correctly guess the outcome of successive coin tosses. The game proceeds as follows:

1. Before each toss the remaining players, who are standing, place both hands on their head (for heads) or their bottom (for tails). If all remaining players choose the same outcome (which would lead to a draw) the host refuses to toss the coin until at least one player changes his/her guess.
2. The host then tosses a coin (assumed fair) and announces the outcome. All players who guessed incorrectly are eliminated and have to sit down.
3. Play continues until there is only one person left standing to claim the prize for their team.

In perfect play, the remaining players on each team always divide as evenly as possible between heads and tails:

• If the number of remaining players on a team is \$2k\$ for some positive integer \$k\$, then exactly \$k\$ of them guess heads and \$k\$ of them guess tails.
• If the number of remaining players on a team is \$2k+1\$, then with equal probability
  • exactly \$k\$ of them guess heads and \$k+1\$ of them guess tails, or
  • exactly \$k+1\$ of them guess heads and \$k\$ of them guess tails.

An interesting consequence of players not acting independently is that a team's probability of winning is not, in general, equal to \$\dfrac{\text{number of players on the team}}{\text{number of players on all teams}}\$, as the examples below illustrate.

Challenge

Assume that there are \$n_0\$ players on our team and \$n_1, n_2,\ldots, n_N\$ players on the opposing \$N\$ teams (\$N\$ and the \$n_i\$ are all positive integers). Given the \$n_i\$ as input, write the shortest program or function that calculates the probability that our team wins the booze, assuming perfect play by all teams.

Input format is flexible: you may (for example) take

• an integer \$n_0\$ and a list \$[n_1, n_2, \ldots, n_N]\$ (this format is used in the test cases),
• a flat list \$[n_0, n_1, \ldots, n_N]\$,
• a nested list \$\left[n_0, [n_1, n_2, \ldots, n_N]\right]\$.

The \$n_i\$ may be taken in any order. Output should be in a suitable numeric format. Floating-point approximations are acceptable provided that the underlying algorithm is theoretically exact. You may not return a list of winning probabilities for all teams (I don't care how likely it is that another team wins).

Examples

Example 1: \$n_0=1\$, \$n_1=2\$

Suppose there are only two teams: our team has one player and the opposing team has two players. After the first toss, exactly one player from the opposing team remains in the game (because one player guesses heads and the other guesses tails). For our team:

• Half of the time, our player has guessed incorrectly and is eliminated. The other team wins.
• Half of the time, our player has guessed correctly. A second toss occurs—a head-to-head battle with the remaining player on the other team—which our player wins half of the time.

The probability that our team wins is therefore \$\dfrac{1}{2}\cdot0 + \dfrac{1}{2}\cdot\dfrac{1}{2} = \dfrac{1}{4}\$.

Example 2: \$n_0=2, n_1=3\$

In this case, both teams survive the first toss. Exactly one player remains on our team. For the other team:

• Half of the time, one player remains. A second toss decides the winner.
• Half of the time, two players remain. From this point, the remaining tosses play out exactly as in Example 1.

The probability that our team wins is therefore \$\dfrac{1}{2}\cdot\dfrac{1}{2} + \dfrac{1}{2}\cdot\dfrac{1}{4} = \dfrac{3}{8}\$.

Test cases

\$n_0\$, \$[n_1, n_2, \ldots, n_N]\$ -> Output

1, [2] -> 1/4
2, [3] -> 3/8
5, [5, 5, 5] -> 1/4
5, [3, 5, 7] -> 5929/24576
8, [1, 2, 4] -> 485/768
6, [4, 5, 5, 6, 8] -> 45/256

Answer 26

Score an approximation code challenge code-golf

Given a list of inputs (strings) and their expected outputs (integers or floats)^[1], and a black-box program^[2], calculate the score using the following scoring system:

Let \$R_n\$ be the expected output of the \$n^{th}\$ input, let \$A_n\$ be the actual output given by the black-box program, and let \$ j \$ be the total number of input/output pairs. (All values are positive and non-zero)

Then the score is defined as: $$S=\left\lceil L\times\max_{1\le i \le j}\left({\max\left(\frac{A_i}{R_i},\frac{R_i}{A_i}\right)^2}\right)\right\rceil$$ where \$L\$ is the length of the black-box program in bytes.

Example:

If the size of the program is \$100\$ bytes and the worst approximation is on the input "moon", where the program outputs \$1000\$ instead of the expected \$1737\$, then the score would be:

$$S=\left\lceil 100\times{\left(\frac{1737}{1000}\right)^2}\right\rceil=302$$

This system is taken shamelessly from this challenge by @Arnauld. Here is his reference implementation.

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[1]: You may take the inputs and outputs either zipped ([(in1, out1), (in2, out2), ...]), or not zipped (([in1, in2, ...], [out1, out2, ...]), with both lists of the same length), at your option.

[2]: You may take the black-box program as either:

• a black-box function, and its length in bytes, as two separate inputs
• a string of code to be evaluated, as one input (the length will not be given separately unless necessary)

Rules

• You may use any sensible I/O method
• Standard loopholes are forbidden
• This is code-golf, so the shortest code in bytes wins.

Answer 27

Stack half full or half empty? (worldview of a programming language)

Is the glass half full or half empty? It's a common rethoric question to determine a person worldview, which can be optimistic or pessimistic based on the answer given. If i were dealing with a machine i would probably ask "Is the stack half full or half empty?" Let's try and see if programming languages have a worldview too.

Write a full program or a function which prints or returns one of "The stack is half full." or "The stack is half empty." when given as input the question "Is the stack half full or half empty?" but wait.. you have to provide a stack to be observed.. which stack you provide is up to you: input one or check an already existing stack. Your solution will then output one of the two sentences mentioned above for a non empty / non full stack, your choice which one to print, just make sure your answer is as short as possible because this is code-golf. For an empty stack it must produce the "empty" output while for a full stack "full".

Survey

I will make a chart of the pessimistic Vs optimistic languages based on the half outputs. If you find the same byte count for both choices you can provide both, in which case they will count on both sides of the chart, but you just can select one if you like.

input

• A sentence in any reasonable method.
• The behavior is defined only for the question "Is the stack half full or half empty?" and exactly this.
• Indeed your solution can also completely ignore the input as long as it works with the specified input.
• Question mark is mandatory.

output

• One of "The stack is half full." or "The stack is half empty.", for a non full / non empty stack.
• "full" or "empty" for a full stack or an empty stack respectively
• upper / lower case or a mix are fine.
• ending dot not mandatory.

Rules

• Only the mentioned input allowed.
• Loopholes allowed.
• This is code-golf and the answer with the fewer bytes of source code wins.

Answer 28

Bytewise look-and-say sequence code-golf

The look-and-say sequence is a sequence which begins with 1, 11, 21, 1211, 111221, 312211. To get a term of the sequence from the previous, read the previous out literally:

312211 => one three, one one, two twos,two ones => 13112221

So the next term is 13112221.

Given this javascript code (Node.js), which outputs the look-and-say sequence indefinitely, delimited by newlines:

function nextTerm(x){
  return x.replace(/(.)\1*/g,z=>z.length+z[0])
}
function printUpTo(x){
  var str = '1';
  for(var i = 0; i < x; i++){
    console.log(str);str = nextTerm(str);
  }
}
printUpTo(Infinity)

It will output a string that begins 1\n11\n21\n1211\n111221 etcetera. Your job is to write a function that takes a number as input and outputs that byte of the output string.

Rules

You may output a different character for newline instead of \n, e.g. # or something.

Scoring

Your program should be able to handle 100 million.

The first answer to handle 1e+18 correctly will receive a 100-rep bounty. This cannot be hard-coded.

Standard loopholes apply.

Test cases:

1 => \n
5 => 2
10 => 1
20 => 3
50 => 3
100 => 1
1000 => 1
100000 => 3
10000000 => 1

This is code-golf, so shortest bytes wins.

Answer 29

Self improving program

quine code-golf restricted-complexity

In this challenge you will write a program or function which when run will output a faster solution to this challenge.

Formally speaking: you will write a program or function, \$T_0\$, which takes an integer \$x\$ as input and outputs a program or function (in the same language), \$T_1\$, which is itself a valid solution to this challenge, such that there exists a function \$f\$ where \$T_1\$ is in the time complexity class \$O\left(f\right)\$, but \$T_0\$ is not. That is to say the output program must have a strictly faster asymptotic time complexity.

Note that since \$T_1\$ must be a valid solution to the challenge it must output a program or function \$T_2\$ which is even faster, and so on and so forth, creating an infinite chain each faster than the last.

Answers will be scored by their length in bytes with fewer being better.

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Precision

In keeping with the tradition of this site, and to remain inclusive: The order notation of a function will be assumed to be measured by the algorithm implemented by your answer. Thus we will pretend not to notice the behavior of your actual program for inputs out of the range of your language's numeric type.

However that being said, in order to ensure that you are actually changing the algorithm at every step, for constants initialized in your program this leniency is not given. e.g. If you use a double precision floating point 1.0000000000000001 is equal to 1.0. So if your method relies on an increasing or decreasing constant embedded in the program you should be careful that the algorithm actually changes.

Simply put for \$T_n(x)\$ you are forgiven for errors arising from very large \$x\$, but not from very large \$n\$.

Answer 30

Posted at Convert Gemtext to HTML but moved here to discuss

Gemtext is a very simple markup format used by the alternative web protocol Gemini. Write a Gemtext to HTML converter.

From the Wiki:

A line of text is a paragraph, to be wrapped by the client. It is is independent from the lines coming before or after it.

A list item starts with an asterisk and a space. Again, the rest of the line is the line item, to be wrapped by the client.

A heading starts with one, two, or three number signs and a space. The rest of the line is the heading.

A link is never an inline link like it is for HTML: it’s simply a line starting with an equal-sign and a greater-than sign: “⇒”, a space, an URI, and some text. It could be formatted like a list item, or like a paragraph. Relative URIs are explicitly allowed.

Example:

# This is a heading 
This is the first paragraph.
* a list item
* another list item 
This is the second paragraph.
=> http://example.org/ Absolute URI
=> //example.org/ No scheme URI
=> /robots.txt Just a path URI
=> GemText a page link

This should produce this HTML tree (just the equivalent tree, not the exact formatting):

<h1>This is a heading</h1>
<p>This is the first paragraph.</p>
<ul>
<li>a list item</li>
<li>another list item</li>
</ul>
<p>This is the second paragraph.</p>
<a href="http://example.org/">Absolute URI</a>
<a href="//example.org/">No scheme URI</a>
<a href="/robots.txt">Just a path URI</a>
<a href="GemText">a page link</a>

HTML in the text must be escaped, e.g paragraph <p> is cool becomes <p>paragraph &ltp&gt is cool</p>.

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