Halve the falses

Question

Task

Given a non-empty array of 0 and 1, halve the lengths of the runs of 0.

Input

An array of 0 and 1. Acceptable format:

• Real array in your language
• Linefeed-separated string of 0 and 1
• Contiguous string of 0 and 1
• Any other reasonable format

For example, the following three inputs are all acceptable:

• [1, 0, 0, 1]
• "1\n0\n0\n1" (where \n is a linefeed U+000A)
• "1001"

You may assume that the runs of 0 will have even length.

Output

An array of 0 and 1, in the acceptable formats above.

Testcases

input ↦ output
[1,0,0,1,0,0,1] ↦ [1,0,1,0,1]
[1,1,0,0,1,1,0,0,1] ↦ [1,1,0,1,1,0,1]
[1,1,0,0,1,1,1,0,0,1,1] ↦ [1,1,0,1,1,1,0,1,1]
[1,1,1] ↦ [1,1,1]
[0,0,1] ↦ [0,1]
[0,0] ↦ [0]
[1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0] ↦ [1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0]

Scoring

This is code-golf. Shortest answer in bytes wins.

Standard loopholes apply.

Answer 1

Retina, 4 bytes

00
0

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Answer 2

05AB1E, 5 bytes

00¤.:

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Explanation

00     # push 00
  ¤    # tail, pushes 0
   .:  # replace

Answer 3

Haskell, 33 bytes

f(0:0:r)=0:f r
f(x:r)=x:f r
f e=e

Try it online! Usage: f[1,1,0,0,1,1,0,0,1]. Iterates over the list and replaces two consecutive zeros by one zero.

Answer 4

C (gcc), 35 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 40 byte this time (again as suggested by Neil & VisualMelon) :)

f(char*s){for(;*s;s+=50-*s)putchar(*s);}

and then 35 bytes thanks to Khaled.K

f(char*s){*s&&f(s+50-putchar(*s));}

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Answer 5

sed, 8 bytes

s/00/0/g

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Answer 6

Octave, 22 bytes

@(s)strrep(s,'00','0')

Verify all test cases here.

This is an anonymous function taking a string on the format '1001000011' as input, and replaces two consecutive zeros with a single zero.

Answer 7

Haskell, 28 bytes

f(h:t)=h:f(drop(1-h)t)
f e=e

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Recursively takes the first element, dropping the second one if the first one is zero, until the list of empty. If the first entry is h, then the first 1-h are dropped from the remainder.

Answer 8

Java, 50 bytes

String f(String s){return s.replaceAll("00","0");}

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Answer 9

Japt, 7 6 5 bytes

d'0²0

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Simply replaces each run of two zeroes in the input by one zero. Uses string input (i.e. "1001001").

Answer 10

Husk, 4 bytes

fG=¹

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How?
The Husk scanl command (G) applies a function to each element of a list and the result-so-far. The initial result-so-far is set to the first element.

In this case, used with the eq (=) function, it checks whether each element is equal to the result-so-far. For runs of 1, this will always output 1 (truthy). Now, the first of any run of 0s will be 0 (falsy), of course; then, the next result will be 1 (since 0 is equal to the result-so-far), and then 0, and so on, alternating 0s at odd positions in the run and 1s at even positions, until the end of the run. Since there are always an even number of 0s in each run, then last result-so-far must be 1: so, when we enter the next run of 1s, the first result will be 1 (truthy) again, and so on...

So: runs of 0s get alternating 0 and 1, and runs of 1s always get 1, and we just need to filter (f) the input list (¹) by this.

Answer 11

Alice, 13 bytes

/oe00/
@iS0e\

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Explanation

/.../
@...\

This is a simple template for linear programs which operate entirely in Ordinal mode. The initial / reflects the IP to move south east and then it bounces diagonally up and down through the code until the mirrors at the end. Those simply offset the position by one so that on the way back the IP traverses the remaining cells. Reading the code in this zigzag fashion it becomes:

ie00e0So@

This is a simple string substitution:

i   Read all input.
e   Push an empty string.
00  Append two zeros to create the string "00".
e   Push an empty string.
0   Append a zero to create the string "0".
S   Substitute all occurrences of "00" in the input with "0".
o   Output the result.   
@   Terminate the program.

There are a few other ways to push the two strings, e.g. '00'0 or e000t, but I haven't found anything that beats 5 bytes there (and I'd have to shave off two bytes to be able to shorten the program).

Answer 12

Jelly, 8 bytes

ṣ1j1,1m2

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Possibly other answers in languages without a .replace() or similar could use this trick.

Explanation

ṣ1j1,1m2 - (duplicates the 1s, then halves all lengths)
ṣ1       - split by the element 1
  j1,1   - join the elements with the two-element list 1,1
      m2 - get every second element

Answer 13

Perl 5, 7+1(-p flag)=8 bytes

<>if/0/

Takes input as newline separated numbers. Skips the next line if it sees a zero.

Answer 14

V, 4 bytes

òf0x

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ò    ' Recursively (until we error)
 f0  ' Go to the next zero (errors when there are no zeros left)
   x ' Delete it

Answer 15

sed, 8 6 bytes

n;/0/d

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Takes a linefeed-separated string of 0 and 1.

n skips a line, and /0/d deletes a line if it has a zero in it. This has the net effect of deleting every 0 on an even-numbered line. Since any even-length contiguous list of 0 has the same number of even-numbered and odd-numbered lines, this has the effect of halving the length of every run of 0.

Answer 16

Jelly, 4 bytes

¹‘ƭƇ

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Explanation

¹‘ƭƇ   Main monadic link
   Ƈ   Filter by
  ƭ      Every time this is called, switch between
¹          doing nothing and
 ‘         adding 1

Answer 17

Prolog (SWI), 42 bytes

[0,0|T]*[0|R]:-T*R.
[H|T]*[H|R]:-T*R.
H*H.

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Answer 18

PHP, 26

<?=strtr($argn,["00"=>0]);

simply replace all 00 by 0.

Answer 19

Lua, 33 bytes

print((io.read():gsub("00","0")))

Takes a string via input and condenses double zeros. Easy.

Answer 20

MATL, 5 bytes

FFOZt

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Explanation

This is similar to Stewie Griffin's Octave answer:

FF     % Push [0 0]
O      % Push 0
Zt     % Implicitly take input. Replace [0 0] by 0. Implicitly display

---

8 bytes

vy~f2L)(

This avoids the string/array replacement builtin.

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Explanation

Consider input [1,0,0,1,0,0,1] as an example:

v      % Concatenate stack (which is empty): pushes []
       % STACK: []
y      % Implicit input. Duplicate from below
       % STACK: [1,0,0,1,0,0,1], [], [1,0,0,1,0,0,1]
~f     % Negate, find: gives indices of zeros
       % STACK: [1,0,0,1,0,0,1], [], [2,3,5,6]
2L     % Push [2,2,1i]. As an index, this is interpreted as 2:2:end
       % STACK: [1,0,0,1,0,0,1], [], [2,3,5,6], [2,2,1i]
)      % Reference indexing. This selects the even-indexed entries
       % STACK: [1,0,0,1,0,0,1], [], [3,6]
(      % Assignment indexing. This deletes the specified entries
       % (assigns them the empty array). Implicitly display
       % STACK: [1,0,1,0,1]

Answer 21

Alice, 12 10 bytes

2 bytes saved thanks to Martin Ender

i.h%.7%$io

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Explanation

This is a 1-D code operating in cardinal mode, so it's easy to follow its flow:

i                   Read a byte from input (pushes -1 on EOF)
 .h                 Duplicate it and add 1 to the copy
   %                Compute n%(n+1). This will exit with an error on n==-1
                    and return n for any non-negative n.
    .7%             Duplicate the input again and compute its value modulo 7
                    This returns 6 for '0' (unicode value 48) and 0 for '1'
                    (unicode value 49)
       $i           If this last result was not 0, input another number.
                    This ignores every other '0' in the input
                    and moves to the following number (another '0')
         o          Output the last byte read

                    At the end, wrap back to the beginning of the line

Answer 22

Java, 131 123 bytes

int[]f(int[]a){int c=0,i=0,l=a.length;for(int x:a)c+=1-x;int[]r=new int[l-c/2];for(c=0;c<l;c+=2-a[c])r[i++]=a[c];return r;}

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Answer 23

JavaScript (ES6), 26 21 bytes

Takes the input as a string and returns a string.

s=>s.replace(/00/g,0)

---

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f=
s=>s.replace(/00/g,0)
i.addEventListener("input",_=>o.innerText=f(i.value))
console.log(f("1001001")) // "10101"
console.log(f("110011001")) // "1101101"
console.log(f("11001110011")) // "110111011"
console.log(f("111")) // "111"
console.log(f("001")) // "01"
console.log(f("00")) // "0"
console.log(f("11100001111001001100111100100")) // "1110011110101101111010"

<input id=i><pre id=o>

Answer 24

Mathematica, 24 bytes

StringReplace["00"->"0"]

A function that expects a string of "0"s and "1"s and returns a similar string. Self-explanatory syntax. Mathematica has lots of transformation builtins; the key is to use one that transforms every relevant subexpression (unlike /.) but only passes through the expression once (unlike //.).

Answer 25

Pip, 5 bytes

aR00i

Takes a string of 0s and 1s. Try it online!

Explanation

Beating Jelly? Inconceivable!

a      Take the first command-line argument
 R     and replace
  00   00 (an integer literal, so it doesn't need quotes)
    i  with i (variable preinitialized to 0)
       Autoprint

Answer 26

R, 21 bytes

function(n)n[n+1:0>0]

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Answer 27

Brachylog, 10 bytes

ḅ{cẹ|ḍh}ᵐc

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Not sure this is optimal yet…

Explanation

This exploits the bug that c on a list of integers that has leading zeroes will fail.

ḅ               Blocks; group consecutive equal elements together
 {     }ᵐ       Map on each block:
  c               It is possible to concatenate the block into an int (i.e. it contains 1s)
   ẹ              Split it again into a list of 1s
    |             Else
     ḍh           Dichotomize and take the head
         c      Concatenate the blocks into a single list

Answer 28

Python (list I/O), 36 bytes

f=lambda l:l and l[:1]+f(l[2-l[0]:])

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Recursively takes the first element, then removes the remaining one if the first one was zero.

---

38 bytes:

lambda l:eval(`l`.replace('0, 0','0'))

Try it online This takes a Python list and outputs a Python list by doing replacement on its string representation. String I/O would allow a more direct and shorter solution, such as

lambda s:s.replace('00','0')

for '1001' format.

Answer 29

///, 11 bytes

/00/a//a/0/<input goes here>

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Fun fact: /00/0/<input> won't work, because it reduces 0000 to 0. Hence the a-substitute.

Answer 30

APL (Dyalog), 9 bytes

'00'⎕R'0'

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