Anti clock wise fashion

Clash Royale CLAN TAG#URR8PPP

up vote
5
down vote

favorite

^{From this stackoverflow question}

Given a 2D array of size $ M x N $, output the values in a anti-clock wise fashion. The output must start from the outside to the inside and the initial point always is going to be $(0,0)$.

Example Given:

$$ beginbmatrix colorblue1&colorred2&colorred3&colorred4 \ colorred5&6&7&colorred8 \ colorred9&10&11&colorred12 \ colorred13&colorred14&colorred15&colorred16endbmatrix $$

The edge values in counterclockwise is then $ 1,5,9,13,14,15,16,12,8,4,3,2 $.

Now we repeat the process for the inner values. This will end up with a matrix like the following

$$ beginbmatrix colorblue6&colorred7 \ colorred10&colorred11 endbmatrix$$

And the inner values is then $ 6,10,11,7 $

The final result will be then $ 1,5,9,13,14,15,16,12,8,4,3,2,6,10,11,7 $

---

Rules

• Assume non-empty input


• Assume matrix values as positive integers


• Standard I/O Methods apply


• Standard code-golf rules and winning criteria apply

---

Some test cases

Input
[
 [1, 2, 3, 4, 5, 6, 7],
 [8, 9, 10,11,12,13,14],
 [15,16,17,18,19,20,21]
]
Output
1,8,15,16,17,18,19,20,21,14,7,6,5,4,3,2,9,10,11,12,13

--------------------------------------------------------

Input
[
 [1,2,3],
 [3,2,1],
 [4,5,6],
 [6,5,4],
 [7,8,9],
 [9,8,7]
]
Output
1,3,4,6,7,9,8,7,9,4,6,1,3,2,2,5,5,8

-----------------------------------------------------
Input
[
 [1]
]
Output
1
-----------------------------------
Input
[
 [1, 2],
 [2, 1]
]
Output
1,2,1,2
-----------------------------------------------------
Input
[
 [1,2,3,6,7],
 [2,4,3,2,1],
 [3,2,4,5,6],
 [6,5,6,5,4],
 [10,4,7,8,9],
 [12,4,9,8,7]
]
Output
1,2,3,6,10,12,4,9,8,7,9,4,6,1,7,6,3,2,4,2,5,4,7,8,5,5,2,3,4,6

code-golf matrix

share|improve this question

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

• 
  
  
  

  
  

  
  
  
  
  
  

  
  So are we going clockwise or counterclockwise?
  – LegionMammal978
  57 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @LegionMammal978 counterclockwise (I though it was called anti-clockwise)
  – Luis felipe De jesus Munoz
  56 mins ago
  

  
  
  
  

add a comment | 

up vote
5
down vote

favorite

^{From this stackoverflow question}

Given a 2D array of size $ M x N $, output the values in a anti-clock wise fashion. The output must start from the outside to the inside and the initial point always is going to be $(0,0)$.

Example Given:

$$ beginbmatrix colorblue1&colorred2&colorred3&colorred4 \ colorred5&6&7&colorred8 \ colorred9&10&11&colorred12 \ colorred13&colorred14&colorred15&colorred16endbmatrix $$

The edge values in counterclockwise is then $ 1,5,9,13,14,15,16,12,8,4,3,2 $.

Now we repeat the process for the inner values. This will end up with a matrix like the following

$$ beginbmatrix colorblue6&colorred7 \ colorred10&colorred11 endbmatrix$$

And the inner values is then $ 6,10,11,7 $

The final result will be then $ 1,5,9,13,14,15,16,12,8,4,3,2,6,10,11,7 $

---

Rules

• Assume non-empty input


• Assume matrix values as positive integers


• Standard I/O Methods apply


• Standard code-golf rules and winning criteria apply

---

Some test cases

Input
[
 [1, 2, 3, 4, 5, 6, 7],
 [8, 9, 10,11,12,13,14],
 [15,16,17,18,19,20,21]
]
Output
1,8,15,16,17,18,19,20,21,14,7,6,5,4,3,2,9,10,11,12,13

--------------------------------------------------------

Input
[
 [1,2,3],
 [3,2,1],
 [4,5,6],
 [6,5,4],
 [7,8,9],
 [9,8,7]
]
Output
1,3,4,6,7,9,8,7,9,4,6,1,3,2,2,5,5,8

-----------------------------------------------------
Input
[
 [1]
]
Output
1
-----------------------------------
Input
[
 [1, 2],
 [2, 1]
]
Output
1,2,1,2
-----------------------------------------------------
Input
[
 [1,2,3,6,7],
 [2,4,3,2,1],
 [3,2,4,5,6],
 [6,5,6,5,4],
 [10,4,7,8,9],
 [12,4,9,8,7]
]
Output
1,2,3,6,10,12,4,9,8,7,9,4,6,1,7,6,3,2,4,2,5,4,7,8,5,5,2,3,4,6

code-golf matrix

share|improve this question

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

• 
  
  
  

  
  

  
  
  
  
  
  

  
  So are we going clockwise or counterclockwise?
  – LegionMammal978
  57 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @LegionMammal978 counterclockwise (I though it was called anti-clockwise)
  – Luis felipe De jesus Munoz
  56 mins ago
  

  
  
  
  

add a comment | 

up vote
5
down vote

favorite

up vote
5
down vote

favorite

^{From this stackoverflow question}

Given a 2D array of size $ M x N $, output the values in a anti-clock wise fashion. The output must start from the outside to the inside and the initial point always is going to be $(0,0)$.

Example Given:

$$ beginbmatrix colorblue1&colorred2&colorred3&colorred4 \ colorred5&6&7&colorred8 \ colorred9&10&11&colorred12 \ colorred13&colorred14&colorred15&colorred16endbmatrix $$

The edge values in counterclockwise is then $ 1,5,9,13,14,15,16,12,8,4,3,2 $.

Now we repeat the process for the inner values. This will end up with a matrix like the following

$$ beginbmatrix colorblue6&colorred7 \ colorred10&colorred11 endbmatrix$$

And the inner values is then $ 6,10,11,7 $

The final result will be then $ 1,5,9,13,14,15,16,12,8,4,3,2,6,10,11,7 $

---

Rules

• Assume non-empty input


• Assume matrix values as positive integers


• Standard I/O Methods apply


• Standard code-golf rules and winning criteria apply

---

Some test cases

Input
[
 [1, 2, 3, 4, 5, 6, 7],
 [8, 9, 10,11,12,13,14],
 [15,16,17,18,19,20,21]
]
Output
1,8,15,16,17,18,19,20,21,14,7,6,5,4,3,2,9,10,11,12,13

--------------------------------------------------------

Input
[
 [1,2,3],
 [3,2,1],
 [4,5,6],
 [6,5,4],
 [7,8,9],
 [9,8,7]
]
Output
1,3,4,6,7,9,8,7,9,4,6,1,3,2,2,5,5,8

-----------------------------------------------------
Input
[
 [1]
]
Output
1
-----------------------------------
Input
[
 [1, 2],
 [2, 1]
]
Output
1,2,1,2
-----------------------------------------------------
Input
[
 [1,2,3,6,7],
 [2,4,3,2,1],
 [3,2,4,5,6],
 [6,5,6,5,4],
 [10,4,7,8,9],
 [12,4,9,8,7]
]
Output
1,2,3,6,10,12,4,9,8,7,9,4,6,1,7,6,3,2,4,2,5,4,7,8,5,5,2,3,4,6

code-golf matrix

share|improve this question

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

^{From this stackoverflow question}

Given a 2D array of size $ M x N $, output the values in a anti-clock wise fashion. The output must start from the outside to the inside and the initial point always is going to be $(0,0)$.

Example Given:

$$ beginbmatrix colorblue1&colorred2&colorred3&colorred4 \ colorred5&6&7&colorred8 \ colorred9&10&11&colorred12 \ colorred13&colorred14&colorred15&colorred16endbmatrix $$

The edge values in counterclockwise is then $ 1,5,9,13,14,15,16,12,8,4,3,2 $.

Now we repeat the process for the inner values. This will end up with a matrix like the following

$$ beginbmatrix colorblue6&colorred7 \ colorred10&colorred11 endbmatrix$$

And the inner values is then $ 6,10,11,7 $

The final result will be then $ 1,5,9,13,14,15,16,12,8,4,3,2,6,10,11,7 $

---

Rules

• Assume non-empty input


• Assume matrix values as positive integers


• Standard I/O Methods apply


• Standard code-golf rules and winning criteria apply

---

Some test cases

Input
[
 [1, 2, 3, 4, 5, 6, 7],
 [8, 9, 10,11,12,13,14],
 [15,16,17,18,19,20,21]
]
Output
1,8,15,16,17,18,19,20,21,14,7,6,5,4,3,2,9,10,11,12,13

--------------------------------------------------------

Input
[
 [1,2,3],
 [3,2,1],
 [4,5,6],
 [6,5,4],
 [7,8,9],
 [9,8,7]
]
Output
1,3,4,6,7,9,8,7,9,4,6,1,3,2,2,5,5,8

-----------------------------------------------------
Input
[
 [1]
]
Output
1
-----------------------------------
Input
[
 [1, 2],
 [2, 1]
]
Output
1,2,1,2
-----------------------------------------------------
Input
[
 [1,2,3,6,7],
 [2,4,3,2,1],
 [3,2,4,5,6],
 [6,5,6,5,4],
 [10,4,7,8,9],
 [12,4,9,8,7]
]
Output
1,2,3,6,10,12,4,9,8,7,9,4,6,1,7,6,3,2,4,2,5,4,7,8,5,5,2,3,4,6

code-golf matrix

code-golf matrix

share|improve this question

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

share|improve this question

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

share|improve this question

share|improve this question

edited 54 mins ago

edited 54 mins ago

edited 54 mins ago

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

asked 1 hour ago

Luis felipe De jesus Munoz

3,20111047

3,20111047

• 
  
  
  

  
  

  
  
  
  
  
  

  
  So are we going clockwise or counterclockwise?
  – LegionMammal978
  57 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @LegionMammal978 counterclockwise (I though it was called anti-clockwise)
  – Luis felipe De jesus Munoz
  56 mins ago
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  So are we going clockwise or counterclockwise?
  – LegionMammal978
  57 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @LegionMammal978 counterclockwise (I though it was called anti-clockwise)
  – Luis felipe De jesus Munoz
  56 mins ago
  

  
  
  
  

So are we going clockwise or counterclockwise?
– LegionMammal978
57 mins ago

So are we going clockwise or counterclockwise?
– LegionMammal978
57 mins ago

@LegionMammal978 counterclockwise (I though it was called anti-clockwise)
– Luis felipe De jesus Munoz
56 mins ago

@LegionMammal978 counterclockwise (I though it was called anti-clockwise)
– Luis felipe De jesus Munoz
56 mins ago

add a comment | 

4 Answers
4

active

oldest

votes

up vote
2
down vote

Python 2, 52 bytes

f=lambda a:a and zip(*a)[0]+f(zip(*a[::-1])[1:])or()

Try it online!

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

add a comment | 

up vote
2
down vote

R, 59 bytes

f=function(m)"if"(ncol(m)-1,c(m[,1],f(t(m[nrow(m):1,-1]))))

Try it online!

Recursively strip off the first column and rotate the rest of the matrix until you end up with only one column. Ungolfed:

f <- function(m) 
 if(ncol(m) == 1) 
 m
 else 
 c(m[,1], f(t(m[nrow(m):1,-1])))
 

share|improve this answer

answered 19 mins ago

ngm

2,65922

• 
  
  
  

  
  

  
  
  
  
  
  

  
  wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
  – Giuseppe
  14 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
  – Giuseppe
  12 mins ago
  

  
  
  
  

add a comment | 

up vote
1
down vote

Jelly, 9 bytes

ZḊUƊƬḢ€€Ẏ

Try it online!

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

add a comment | 

up vote
1
down vote

Pyth, 20 bytes

J.TQWJ=+YhJ=J_.TtJ)Y

Try it here

Explanation

J.TQWJ=+YhJ=J_.TtJ)Y
J.TQ Call the transposed input J.
 WJ ) While J is not empty...
 =+YhJ ... put the top row into Y (initially )...
 =J tJ ... remove the top row...
 _.T ... reverse and transpose (rotate clockwise).
 Y Output the result.

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

add a comment | 

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4 Answers
4

active

oldest

votes

4 Answers
4

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
2
down vote

Python 2, 52 bytes

f=lambda a:a and zip(*a)[0]+f(zip(*a[::-1])[1:])or()

Try it online!

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

add a comment | 

up vote
2
down vote

Python 2, 52 bytes

f=lambda a:a and zip(*a)[0]+f(zip(*a[::-1])[1:])or()

Try it online!

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

add a comment | 

up vote
2
down vote

up vote
2
down vote

Python 2, 52 bytes

f=lambda a:a and zip(*a)[0]+f(zip(*a[::-1])[1:])or()

Try it online!

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

Python 2, 52 bytes

f=lambda a:a and zip(*a)[0]+f(zip(*a[::-1])[1:])or()

Try it online!

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

share|improve this answer

share|improve this answer

answered 25 mins ago

TFeld

12.4k2834

answered 25 mins ago

TFeld

12.4k2834

answered 25 mins ago

TFeld

12.4k2834

12.4k2834

add a comment | 

add a comment | 

up vote
2
down vote

R, 59 bytes

f=function(m)"if"(ncol(m)-1,c(m[,1],f(t(m[nrow(m):1,-1]))))

Try it online!

Recursively strip off the first column and rotate the rest of the matrix until you end up with only one column. Ungolfed:

f <- function(m) 
 if(ncol(m) == 1) 
 m
 else 
 c(m[,1], f(t(m[nrow(m):1,-1])))
 

share|improve this answer

answered 19 mins ago

ngm

2,65922

• 
  
  
  

  
  

  
  
  
  
  
  

  
  wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
  – Giuseppe
  14 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
  – Giuseppe
  12 mins ago
  

  
  
  
  

add a comment | 

up vote
2
down vote

R, 59 bytes

f=function(m)"if"(ncol(m)-1,c(m[,1],f(t(m[nrow(m):1,-1]))))

Try it online!

Recursively strip off the first column and rotate the rest of the matrix until you end up with only one column. Ungolfed:

f <- function(m) 
 if(ncol(m) == 1) 
 m
 else 
 c(m[,1], f(t(m[nrow(m):1,-1])))
 

share|improve this answer

answered 19 mins ago

ngm

2,65922

• 
  
  
  

  
  

  
  
  
  
  
  

  
  wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
  – Giuseppe
  14 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
  – Giuseppe
  12 mins ago
  

  
  
  
  

add a comment | 

up vote
2
down vote

up vote
2
down vote

R, 59 bytes

f=function(m)"if"(ncol(m)-1,c(m[,1],f(t(m[nrow(m):1,-1]))))

Try it online!

Recursively strip off the first column and rotate the rest of the matrix until you end up with only one column. Ungolfed:

f <- function(m) 
 if(ncol(m) == 1) 
 m
 else 
 c(m[,1], f(t(m[nrow(m):1,-1])))
 

share|improve this answer

answered 19 mins ago

ngm

2,65922

R, 59 bytes

f=function(m)"if"(ncol(m)-1,c(m[,1],f(t(m[nrow(m):1,-1]))))

Try it online!

Recursively strip off the first column and rotate the rest of the matrix until you end up with only one column. Ungolfed:

f <- function(m) 
 if(ncol(m) == 1) 
 m
 else 
 c(m[,1], f(t(m[nrow(m):1,-1])))
 

share|improve this answer

answered 19 mins ago

ngm

2,65922

share|improve this answer

share|improve this answer

answered 19 mins ago

ngm

2,65922

answered 19 mins ago

ngm

2,65922

answered 19 mins ago

ngm

2,65922

2,65922

• 
  
  
  

  
  

  
  
  
  
  
  

  
  wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
  – Giuseppe
  14 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
  – Giuseppe
  12 mins ago
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
  – Giuseppe
  14 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
  – Giuseppe
  12 mins ago
  

  
  
  
  

wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
– Giuseppe
14 mins ago

wow! I love how the use of t() prevents the drop=TRUE default for `[` from screwing up the if condition!
– Giuseppe
14 mins ago

and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
– Giuseppe
12 mins ago

and full disclosure, I had about a 200 byte solution that didn't even work, so kudos to ya! I'll probably get around to awarding you a bounty for this once the question is eligible for a bounty.
– Giuseppe
12 mins ago

add a comment | 

up vote
1
down vote

Jelly, 9 bytes

ZḊUƊƬḢ€€Ẏ

Try it online!

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

add a comment | 

up vote
1
down vote

Jelly, 9 bytes

ZḊUƊƬḢ€€Ẏ

Try it online!

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

add a comment | 

up vote
1
down vote

up vote
1
down vote

Jelly, 9 bytes

ZḊUƊƬḢ€€Ẏ

Try it online!

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

Jelly, 9 bytes

ZḊUƊƬḢ€€Ẏ

Try it online!

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

share|improve this answer

share|improve this answer

answered 29 mins ago

Erik the Outgolfer

29.8k42899

answered 29 mins ago

Erik the Outgolfer

29.8k42899

answered 29 mins ago

Erik the Outgolfer

29.8k42899

29.8k42899

add a comment | 

add a comment | 

up vote
1
down vote

Pyth, 20 bytes

J.TQWJ=+YhJ=J_.TtJ)Y

Try it here

Explanation

J.TQWJ=+YhJ=J_.TtJ)Y
J.TQ Call the transposed input J.
 WJ ) While J is not empty...
 =+YhJ ... put the top row into Y (initially )...
 =J tJ ... remove the top row...
 _.T ... reverse and transpose (rotate clockwise).
 Y Output the result.

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

add a comment | 

up vote
1
down vote

Pyth, 20 bytes

J.TQWJ=+YhJ=J_.TtJ)Y

Try it here

Explanation

J.TQWJ=+YhJ=J_.TtJ)Y
J.TQ Call the transposed input J.
 WJ ) While J is not empty...
 =+YhJ ... put the top row into Y (initially )...
 =J tJ ... remove the top row...
 _.T ... reverse and transpose (rotate clockwise).
 Y Output the result.

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

add a comment | 

up vote
1
down vote

up vote
1
down vote

Pyth, 20 bytes

J.TQWJ=+YhJ=J_.TtJ)Y

Try it here

Explanation

J.TQWJ=+YhJ=J_.TtJ)Y
J.TQ Call the transposed input J.
 WJ ) While J is not empty...
 =+YhJ ... put the top row into Y (initially )...
 =J tJ ... remove the top row...
 _.T ... reverse and transpose (rotate clockwise).
 Y Output the result.

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

Pyth, 20 bytes

J.TQWJ=+YhJ=J_.TtJ)Y

Try it here

Explanation

J.TQWJ=+YhJ=J_.TtJ)Y
J.TQ Call the transposed input J.
 WJ ) While J is not empty...
 =+YhJ ... put the top row into Y (initially )...
 =J tJ ... remove the top row...
 _.T ... reverse and transpose (rotate clockwise).
 Y Output the result.

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

share|improve this answer

share|improve this answer

answered 19 mins ago

Mnemonic

4,4721629

answered 19 mins ago

Mnemonic

4,4721629

answered 19 mins ago

Mnemonic

4,4721629

4,4721629

add a comment | 

add a comment | 

 

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