title: Don't output the file 2

text:
# Question
Title: Don't output the file 2
Last time you were required to write program that output a file, such that no byte is same as original file. The request meant to let everyone carry part of information, but it ends up that everyone carry same info to reduce their storage... This challenge is similar.

Write at most 1024 programs that output at least 8524 bytes each. Say the \\$j\\$th byte of program \\$i\\$'s output is \\$a\_{i,j}\\$, and \\$x\_j\\$ is the \\$j\\$th byte of the file given below, then it's a requirement that:

$$ \left\\{a\_{i,j}\middle|1\le i\le 1024\right\\}=\left\\{0,1,2,...,255\right\\}-\left\\{x\_j\right\\} $$

i.e., for each index \\$ j \\$, the \\$ j \\$th byte of the output of each program collectively includes every byte value 0 to 255, *except* the \\$ j \\$th byte of the file given below.

Your score is the longest of your programs. Lowest score in each language wins.

xxd of the file:

```
00000000: fd37 7a58 5a00 0004 e6d6 b446 0200 2101  .7zXZ......F..!.
00000010: 1600 0000 742f e5a3 e06b 6f21 0a5d 0026  ....t/...ko!.].&
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00000050: 4388 c9ed 6ae5 4f42 3b2f be2c cd16 5588  C...j.OB;/.,..U.
00000060: 1f3a ba35 dfde 7adf 7f73 db53 9474 93dc  .:.5..z..s.S.t..
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00000080: 07bd 4b4c b31c 82a2 3276 3cfb b11f b04f  ..KL....2v<....O
00000090: a764 5640 6c43 e7e2 bb2b 8024 9a9e 9e1b  .dV@lC...+.$....
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```

base64 of the file:

```
[encoded data, 11368 characters]

```

# Answer
# Gzip, 140 bytes

The following 256 programs were written by `for i in $(seq 0 255); do self=$(printf \\%o $i); comp=$(printf \\%o $[i^1]); temp=$(printf \\%o $[i^2]); cat file.midi.xz|tr -c $self $temp|tr $self $comp|tr $temp $self|gzip --best>file.midi.xz.$i.gz;done` and the zeroes' first is the longest:

```
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25  (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3UgQ3AMAwCwTXC/ot2iFYVEfcLJDy2z0E5oYB7eX/KkU+d2N0xHQrvsaWLAilKMFU0dLwd/QwGytUhsjSMeZU72ysRH3S1qeERFhHAxq1J0V8AbPIAXf6YzkwhAAA=
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242 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3UwQ0AIAgEwf67PTqwAn1pAnH2TyTrcVU4knsjYRMAOtT0g0bW8CRRwSZPbAIANCTrP5lIh90ihZJIw/Z9XwFXpuUgv113dkijWIM87oNMIQAA
243 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3VsRXAMAxCwf3XNQukdpfGEc+537hFCOG1XpDt6aBKTJcFuc0puwb+W2jARK5yJJhSrjuYc+90kgigpzFSrk/h+mNtHhDwIa8Y/Yk5bJYOio+pjBMFhs7vAdiZ7bdMIQAA
244 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3WyQ0AMQhD0f7bdRqYAnKLJht5/44EtkG0NkgW193Pu5OzYW6HkgW4Unv7coW8D+g9i4hN6sZKYOsjnRdEEQygQMBC9luliXUA6oYvZae2+1TjgUnAh3+VO03ND9CiyhZMIQAA
245 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3V0Q3AIAwD0f33jf87AVJbJBDh3QAQmXOoOocU8MKF7PaJqUIRjof5emSIgWb7I82HUFD/4v9Z2QNNAw1ujC2U4ZwekAULlWCQVgp69r7c5hfFtQrSHPIA1fSuZ0whAAA=
246 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3WMRLAIAgF0fvf99unSpUqUZk4vK2dQWFBxsBNth7/5Rta3GT79SNl3bRRKnDUY6QEKDY030LpF5PsGTfHqpEWNfIx4l3Js1oSPuHIsZW5ULxH/S5mHYDpD1B9oiuiESlWWs8LDS6pIUwhAAA=
247 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3XwREAIAgDwf4bNl+bENBxrwGVHDCuhT7iKtKSAswk1OeZAYHohCtHDjF/dkL6qJWAYXYO1FvlwQdA5zx2fNQcPuiDT8vB03SS5YJGNk5rQCZMIQAA
248 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3V0Q0AIAgD0f0XLr/uYDQRfLcA4Wi1CsAZQsEk4aELwIwCa/+GKtJU696YDNlKMtgBZAZyKPVArw6krUjPCnxThFDx0vJxxd9YXyvaSUwhAAA=
249 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3VuQ0AIAwEsP035joWoEIKT2TXIFByhDH6ifuh89AhhPHeAD7/LLK1J6pPQbVScESE48lYRE++eLjqdzeZWS/XFgkBMB3fn5xGuZyqAZw0AR99RdJMIQAA
250 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3UwQ0AIAgEwf47Pn4+LUATIc4WQLw9pOoNaTcIlMJifeQrHV+XMatknUfaUBt8P9AODd/PGLokOZ7usJKjFqVzpRcw30lWNAB3Qh7CJd0sfiGLVkwhAAA=
251 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3VsQ0AIAwDwf1Xxg0T0CEB5r6mSPJOGAMr8nj5oXCH1JwrMNeFUabqhh5x6U0BAQDgWgL3L4QdBPDpHXX+8P7vmV8bx35jMYnlkzQKV1alxDAhz8UTnQ/nH5NMIQAA
252 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3TtxHAMBADwf5bxifKFDMQZ0Bxr4A3MDM1pGlVppfm284/d5cKZPiFjSQgD9DbjGydFM5BfeWQ7fd9m25Vs7hEky4NPuMJgpK8ReEcg9eGiLOkH/d+GLX0QqQWaMt2PhzxAApy8LpMIQAA
253 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3WywkAIAxEwf57zoJFiBjNvHsO+4NU/UhqBCEGzYzM7kkmF8QIuIMmQUf18Ej3wxsCAT2VDZoZJ5Kuhv31beWROzOy0atJR8kMc1LgIQ4AjrEAUh212EwhAAA=
254 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3WgQ0AIAgDwf13rok7GE0E7ieAp6BZN8lqQqpUkMFDQovdksc7G8qjN4cibZEx21ckRCAAOdUVAEfBCL4fYYQXU82Hpz7tuxhV7JiUf0fVEOSs8DzzsQG1CPYFTCEAAA==
255 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+3VsREAIAxC0f2XFkfQIqeeeb+2CATiGACAXVL6jHnAvexF2VDuNed14cg8giZXZALr+KaZXmO9KSdCRo7vFtIDS/zNQIuD8vU7mxOKPT6QTCEAAA==
256 (base64 -d|gzip -d)<<<H4sIAAAAAAACA+2VsRHAMAjE9l9aZIWkiO8fS6Ubg3jsmTcwiVByUaa9FfD9QMyxmmVnKDDdQTXTIweTYM8i0rniKFuU3tE+SjikAhN+18vB5nkT4d31uOlnddrFVh2e/J8P1CcHlWZqfwBAoQFhTCEAAA==

```
> 3 votes

# Answer
# JavaScript (Node.js),  ~~126~~ 120 bytes

### Method

Each value is encoded with 3 to 5 Bloom filters, for a total of 1023 programs with a maximum size of 120 bytes.

Each filter is using a single hash function.

The least frequent value \\$171\\$ is used for padding and therefore not explicitly encoded by a specific set of filters.

### Generator

The logic of the generator I used is as follows:

* for each value \\$v\neq 171\\$, create a random hash function of the form: $$h:x\mapsto (p\times x)\bmod m$$ or: $$h:x\mapsto ((p\times x)\bmod m)\bmod m'$$
* build the corresponding Bloom filter taking an index \\$i\\$ and returning:

$$B\_h(i)=\cases{171&\text{if positive}\\v&\text{if negative}}$$

* if the length of the filter code is greater than an arbitrary threshold, reject the filter
* if any false positive would put \\$171\\$ at a position where this value actually appears in the file, reject the filter
* otherwise add it to a pool \\$P\_v\\$ of valid filters
* find the shortest subset of \\$P\_v\\$ that successfully puts \\$v\\$ at all locations where \\$v\\$ does not appear in the file
* keep trying until all values are processed with 1024 filters or less

### Code and test link

Only the first few programs are listed below. Please refer to the TIO link for the full list.

```
for(i=8524n;i--;)console.log(0x4140C81000910300021904291208610E5180A1101E4C5584A0n>>i*38n%201n&1n?171:0)
for(i=8524n;i--;)console.log(0x640411351C44008082600030200102404302102041000B8307004014002n>>i*673n%789n%237n&1n?171:0)
for(i=8524n;i--;)console.log(0x821080220001000C1180B8010148300A0A0805980183110340B000C03802n>>i*12n%947n%240n&1n?171:0)
for(i=8524n;i--;)console.log(0x400408900A828400286988E00CA42800304084E44201081E2006A0130n>>i*491n%913n%241n&1n?171:0)
for(i=8524n;i--;)console.log(0x488001268000001240C0D6C004A1880500402004002212602588035128n>>i*88n%523n%232n&1n?171:0)
for(i=8524n;i--;)console.log(0x8C802500010201010200010222000102432001100n>>i*355n%398n%223n&1n?171:1)
for(i=8524n;i--;)console.log(0x852104001000455700120000000001008000040800A00042n>>i*197n%198n&1n?171:1)
for(i=8524n;i--;)console.log(0x82800220010000011500000880090682440430121n>>i*738n%827n%183n&1n?171:1)
for(i=8524n;i--;)console.log(0x48020002940A00240008848200080001212An>>i*186n%977n%149n&1n?171:1)
for(i=8524n;i--;)console.log(0x1000025004004000A058400200020212020740041200002C041n>>i*75n%208n&1n?171:2)
for(i=8524n;i--;)console.log(0x8073028020124020000C001010804034080020802004504n>>i*618n%653n%199n&1n?171:2)
for(i=8524n;i--;)console.log(0x504000250040402049200284000010048682802220020020A100800n>>i*50n%219n&1n?171:2)
for(i=8524n;i--;)console.log(0x1443120E00040A1005280801210401850204000n>>i*221n%710n%156n&1n?171:2)
for(i=8524n;i--;)console.log(0x5000800088020800A0040482810002491024000082102004200912404040n>>i*39n%565n%240n&1n?171:3)
for(i=8524n;i--;)console.log(0x68004001C8004000040941002080600008002444415200000A1811090000n>>i*189n%524n%241n&1n?171:3)
for(i=8524n;i--;)console.log(0x40D010000080010AC444C20200F502220004104A00024E00n>>i*127n%202n&1n?171:3)
for(i=8524n;i--;)console.log(0x8200040000982000064248028020012040020D1010100840011C202009n>>i*367n%463n%235n&1n?171:3)
for(i=8524n;i--;)console.log(0x19810003008108405D02024001500808030002n>>i*23n%656n%150n&1n?171:4)
for(i=8524n;i--;)console.log(0x404200082183400268A8220418882000100808021n>>i*613n%877n%167n&1n?171:4)
for(i=8524n;i--;)console.log(0x128010088800280004008104001100024B8000C500000000100610002n>>i*204n%233n&1n?171:4)
for(i=8524n;i--;)console.log(0x20B001100002405020002002040040219100008402005B4050n>>i*88n%205n&1n?171:4)
for(i=8524n;i--;)console.log(0x403C41900880200421800802001C811000800190000D000000004215080004040n>>i*213n%260n&1n?171:5)
for(i=8524n;i--;)console.log(0x140048090080040472000444910008600060400002014108006000000144n>>i*858n%961n%253n&1n?171:5)
for(i=8524n;i--;)console.log(0x800000408000C8000000810008C721000A010510000000060854010C380n>>i*629n%852n%236n&1n?171:5)
for(i=8524n;i--;)console.log(0x200008A212000428600000005A8C08120103002B4040112100016040000n>>i*191n%235n&1n?171:5)
for(i=8524n;i--;)console.log(0x300A0180113004082218120104400A0087084080002450n>>i*494n%999n%199n&1n?171:6)
for(i=8524n;i--;)console.log(0xA02060040A0C0040001100831040C34000C89000840040002240284n>>i*191n%220n&1n?171:6)
for(i=8524n;i--;)console.log(0x16200020A00090902002002020006B0D40014001020C08088014000n>>i*397n%750n%217n&1n?171:6)
for(i=8524n;i--;)console.log(0x18A00802008004493000800CB00000440008910402400010025241030880n>>i*11n%238n&1n?171:6)
for(i=8524n;i--;)console.log(0x20210002000100C0683100000310284282043C0A806n>>i*430n%641n%177n&1n?171:7)
for(i=8524n;i--;)console.log(0x141000000400408EA5020800C0842210804200810A2040022000n>>i*189n%206n&1n?171:7)
for(i=8524n;i--;)console.log(0x68100000920120000008208002002000202088104030606040Cn>>i*109n%978n%212n&1n?171:7)
for(i=8524n;i--;)console.log(0xD002204020008428000800088120908008020E4000048049n>>i*307n%392n%198n&1n?171:7)
for(i=8524n;i--;)console.log(0x400208040088000000242100611008400C30084004014A20n>>i*206n%249n&1n?171:8)
for(i=8524n;i--;)console.log(0x40060000000A8C0200840800328400403800204n>>i*109n%395n%162n&1n?171:8)
for(i=8524n;i--;)console.log(0x3028000400400A820009000100001412200006691n>>i*580n%784n%165n&1n?171:8)
for(i=8524n;i--;)console.log(0x2000628088810108800410004001B440034D000n>>i*67n%156n&1n?171:8)
for(i=8524n;i--;)console.log(0x140009600860240200C0100005000420100084804C200000000830200n>>i*60n%233n&1n?171:9)
for(i=8524n;i--;)console.log(0x112062801184002004885608000024800048040210400Cn>>i*135n%196n&1n?171:9)
for(i=8524n;i--;)console.log(0x10261003012200840800240AC080000060100200C401840000040040n>>i*205n%228n&1n?171:9)
for(i=8524n;i--;)console.log(0x420040202414000440001800000081041084200240025100001004010200000n>>i*235n%253n&1n?171:9)

```

Try it online!
> 1 votes

---
Tags: code-golf, kolmogorov-complexity, open-ended-function
---


title: Alternating sort

text:
# Question
Title: Alternating sort
Given a list of pairwise distinct integers, sort it in alternating order: The second number is larger than the first, the third is smaller than the second, the fourth is larger than the third etc. (This order is not unique.) E.g., `5 7 3 4 2 9 1` would be valid output.

Extra points (since this is code golf, subtract from the number of characters):

* 15 for not using any built-in sort functionality.
* 15 if your code does not reorder inputs that are already ordered this way.
* 10 if the output order is random, i.e., multiple runs with the same input yield different correct outputs.

# Answer
> 5 votes
# Golfscript, 21-30 = -9

```
~(\{.2$>0!:0^{\}*}/]`

```

Bonuses: does not use built-in sort constructs (-15); does not modify a sorted array (-15)

Since, in general, it's not possible to sort an array of integers as defined, this assumes that either all integers are distinct, or "larger" and "smaller" actually mean "or equal".

Explanation:

Algorithm taken from Stack Overflow:
What is the most efficient way to sort a number list into alternating low-high-low sequences?

* `~(\` evals the input, which should yield an array, pops the first element and swaps it before the array.
* `{...}/]`` iterates the block over the array, collecting the results on the stack so that they can be reused immediately, then collects them into an array and stringifies the array so that it's displayed in a sensible format.

The block:

* `.2$>` duplicates top two elements of the stack (in reverse order) and compares them, yielding 0 or 1.
* `0!:0` pushes an negates a zero, then overwrites zero with its negated version. This, the variable `0` alternates between the values 0 and 1. This is used to define the comparison sense. It's nice to have a variable initialised to the logical zero, and `0` just happens to be a variable *and* initialised to the value of 0.
* `^{\}*` XORS the sense with the comparison result, then swaps the top two elements if the result is true.

Example:

```
;"[3 8 1 6 5 4 7 2 9]"
~(\{.2$>0!:0^{\}*}/]`
#[3 8 1 6 4 7 2 9 5]

```

# Answer
> 2 votes
# Mathematica ~~24~~ ~~19~~ 18 = 58 - 40

```
u = {1, 4, 9, 2, 7, 5, 3, 8, 6}

u//.s:{x___,y_,z_,___}/;y>z⊻OddQ@Tr[1^{x}]:>RandomSample@s

```

> {4, 5, 3, 8, 2, 7, 1, 9, 6}

It doesn't reorder ordered list.

For a list with an even number of elements one can save 2 characters:

```
n=0;u//.s:{x___,y_,z_,___}/;OddQ@n++⊻y>z:>RandomSample@s

```

# Answer
> 2 votes
# Mathematica 81-15-15-10=41

```
f[t_] := t //. {l___, x_, y_, z_, r___} /; x > y > z || x < y < z :>
   f@RandomSample[s = {l, x, z, y, r}] /; s != t

```

Examples

```
f@{1, 2, 3, 4, 5, 6, 7, 8}
> {1, 4, 3, 6, 5, 7, 2, 8}

f@{1, 2, 3, 4, 5, 6, 7, 8}
> {8, 3, 5, 2, 7, 4, 6, 1}

f@{8, 3, 5, 2, 7, 4, 6, 1}
> {8, 3, 5, 2, 7, 4, 6, 1}

```

# Answer
> 2 votes
# Japt, 19-40 = -21 bytes

```
äÎäÎ×©Uªá fÈäÎäÎ×Ãö

```

Try it

```
äÎäÎ×©Uªá fÈäÎäÎ×Ãö     :Implicit input of array U
ä                       :Consecutive pairs
 Î                      :  Signs of differences
  äÎ                    :As above
    ×                   :Reduce by multiplication
     ©U                 :Logical AND with U
       ª                :Logical OR with
        á               :  Permutations of U
          f             :  Filter by
           È            :  Passing each through the following function
            äÎäÎ×       :    As above
                 Ã      :  End filter
                  ö     :  Random element

```

## w/o Bonuses, 9 bytes

```
á æÈäÎäÎ×

```

Try it

```
á æÈäÎäÎ×     :Implicit input of array
á             :Permutations
  æ           :First element to return true when
   È          :Passed through the following function
    äÎäÎ×     :  As above

```

# Answer
> 1 votes
This is my first ever code golfing attempt. Not sure how happy I am with it (there *must* be a better way to get list of each character in stdin than `raw_input()` and a list comprehension) but for a first try I think I'm proud.

# Python 2.7 (117 = 117 chars - 0 bonuses)

```
def f(l):
 o=[]
 l.sort()
 while len(l):o.append(l.pop(0));l=l[::-1]
 return o
print f(map(int,raw_input().split()))

```

# Answer
> 1 votes
# Ruby 1.9+ (20 = 35 characters - 15 bonus)

Ah, the good ol' `minmax`!

```
f=->a{a[1]&&(m=a.minmax)+f[a-m]||a}

```

Sample run:

```
irb(main):004:0> f[[1,2,3,4,5,6,7]]
=> [1, 7, 2, 6, 3, 5, 4]

```

# Ruby 1.9+ (43 = 83 characters - 40 bonus)

A solution that satisfies all the bonuses: Shuffles the argument array until it's alternatingly (?) sorted. To check the array, it is zipped toghether with a shifted copy of itself and an alternating array of `<` and `>` symbols, forming something like `[[1, :<, 2], [2, :>, 3], [3, :<, 4], [4, :>, 5], ... ]`

```
f=->a{a.shuffle!until a.zip([:<,:>].cycle,a[1..-1]).all?{|x,o,y|!y||x.send(o,y)};a}

```

# Answer
> 1 votes
# C (57 = 97 characters - 40 bonus)

```
i,t,j;f(a[],n){for(;++i<n;)if(a[i^i&1]>a[i^!i&1])for(i=n;--i;)t=a[j=rand()%n],a[j]=a[i],a[i]=t;}

```

Bogosort with alternating compares shuffling with Fisher-Yates. The shuffle loop uses the same index as the comparison loop so when the shuffle is done the comparison loop is automatically reset. The indexes in the array we compare have their lowest bit flipped based on the index we compare, it works without parentheses thanks to nice operator precedence and associativity.

Assumes that `rand` is actually random or at least seeded properly.

# Answer
> 1 votes
# Python (75 = 115 characters - 40 bonus)

The same strategy as the second entry in my Ruby answer, except it loops on `while` instead of `until` and the condition is negated (from "all correct" to "any uncorrect").

```
from random import*
def f(a):
 while any(eval(`x`+o+`y`)for x,y,o in zip(a,a[1:],"><"*len(a))):shuffle(a)
 return a

```

# Answer
> 1 votes
# JavaScript (Node.js), 75-40=35 bytes

```
f=x=>x.some((c,i)=>c>x[i-1]^i%2)?f(x,x.splice(Math.random()*2,0,x.pop())):x

```

Try it online!

# Answer
> 0 votes
# Python 3 (119 = 159 chars - 40 bonuses)

```
def o(x):
 a,s=x[0],1
 for b in x[1:]:
  if(b-a)*s<0:return 1
  s,a=-s,b
import random
s=list(map(int,input().split()))
while o(s):random.shuffle(s)
print(*s)

```

# Answer
> 0 votes
# Python 3 (may be 2 also)

```
def f(a):
 for i in range(len(a)-1):
  if (a[i+1]-a[i])*(-1)**i<0:
   a[i:i+2]=a[i+1],a[i]
 return a

```

100 characters (100)
Do not used builting sorting (-15)
Do not moved already alternating values (-15)
O(n) time complexity (-0)
Total score = 100 - 15 - 15 - 0 = 70

# Answer
> 0 votes
# Vyxal, 18 - 40 = -22 bytes

```
Ṗ'¯±:k+$•⁼;:?c[_|℅

```

Try it Online!

This is why bonuses are a bad idea

# Answer
> -1 votes
## JavaScript, 87

Fairly straightforward approach: sort given array in ascending order, then swap every two elements starting with the second one (`[a[i],a[i+1]]=[a[i+1],a[i]]`).

According to author, function is OK, so here's a function (*87 characters*):

```
function s(a){a.sort();for(i=1;i<a.length-1;[a[i],a[i+1]]=[a[i+1],a[i]],i+=2);return a}

```

Version with I/O (*94 characters*, you are supposed to type array like this: `3,7,9,2,1,4,5`):

```
a=(prompt().split(",")).sort();for(i=1;i<a.length-1;[a[i],a[i+1]]=[a[i+1],a[i]],i+=2);alert(a)

```

---
Tags: code-golf, array, sorting
---