# N-dimensional N^N array filled with N

In: Enough memory and a positive integer N

Out: N-dimensional N^N array filled with N, where N^N means N terms of N-by-N-by-N-by...

Examples:

1: [1] which is a 1D array (a list) of length 1, containing a single 1

2: [[2,2],[2,2]] which is a 2D array (a table) with 2 rows and 2 columns, filled with 2s

3: [[[3,3,3],[3,3,3],[3,3,3]],[[3,3,3],[3,3,3],[3,3,3]],[[3,3,3],[3,3,3],[3,3,3]]] which is a 3D array (a cube) with 3 layers, 3 rows, and 3 columns, filled with 3s

4: [[[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]]],[[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]]],[[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]]],[[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]],[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]]]] 

• If our language does not support arrays, what would be an acceptable output format? – Okx Feb 28 '17 at 16:54
• Since "Enough memory" is part of the input, I want to see an answer that controls a robot to actually take the memory as input and plug it in before using it. – user2357112 supports Monica Feb 28 '17 at 19:05
• Do all the arrays need to be distinct objects? – Neil Mar 1 '17 at 0:25
• @user2357112 I think that's more of a precondition type issue. I doubt the op actually expects the function to accept memory as input. – user64742 Mar 1 '17 at 4:31
• @TheGreatDuck Correct, but I'm pretty sure user2357112 meant it as a joke. – Adám Mar 1 '17 at 5:47

# Perl 6, 61 bytes

my $x=prompt(0);my @a=$x xx$x;"@a=[@a] xx$x;".EVAL xx$x-1;  Big rippof from the Python 2 answer, but converted :P • Instead of my$x=prompt(0);, you can use $_=get;. You also need to print or return the result somehow, but note that the rules of this site allow writing answers as functions or lambdas instead of of full programs, which is usually shorter in Perl 6. – smls Feb 28 '17 at 22:54 # Clojure, 63 bytes #(loop[a(repeat % %)d 1](if(= d %)a(recur(repeat % a)(inc d))))  This is a lambda function, usage is like so: (#(...) {input_no})  ...where {input_no} is replaced with the number. Output for 3 is like this: (((3 3 3) (3 3 3) (3 3 3)) ((3 3 3) (3 3 3) (3 3 3)) ((3 3 3) (3 3 3) (3 3 3)))  This uses Clojure's definition of lists, which are denoted as (). ## Ungolfed code and explanation: ; Defines the function (defn layered [n] ; Begins a loop with a variable depth of 1, ; and a list of n elements which are all n (loop [depth 1 array (repeat n n)] ; If "depth" is equal to n, return the list (if (= depth n) array ; Else, continue on with the loop, with ; an incremented "depth"... (recur (inc depth) ; ...and a list which contains the ; list repeated n times (repeat n array)))))  # I, 7 bytes I got this from my colleague, the creator of I. #Bbhph~  #Bb  the copy # function Bound to binding  hp hook the argument to (the right of) the power function (repeat)  h~hook the argument to the left ~ (of the entire resulting function) Try it online! # SNOBOL4 (CSNOBOL4), 59 bytes  DEFINE('F(N)') F F =ARRAY(DUPL(N ',',N - 1) N,N) :(RETURN)  Try it online! Defines a function that returns an ARRAY with the appropriate dimensions and filled with value N. # Haskell, 51 bytes Other than the existing Haskell solutions this constructs a usable data type not just a string representation thereof (and is shorter): data L=N[L]|E Int f n=iterate(N.(<$[1..n]))(E n)!!n


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### Explanation / Ungolfed

The reason why this is an interesting challenge in Haskell is that a solution to this challenge needs to return different deeply nested lists and Haskell (without importing external modules) does not support this. One workaround which turned out to be the golfiest, is to define our own data type:

data NestedList = Nest [NestedList] | Entry Int


Now we can just define a function f :: Int -> NestedList which is able to represent all the required data types:

pow n = iterate (Nest . replicate n) (Entry n) !! n


# Japt, 14 bytes

_òU}g[UpU ÆUÃ]


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Output is wrapped in an extra singleton array.

Explanation:

          Æ Ã     #Create an array
U      #Where every element is U
UpU         #And the length is U^U
_  }g[       ]    #Repeat this function U times:
òU               # Cut into slices of length U

• 14 bytes; I was hoping it'd be shorter. – Shaggy Feb 22 '19 at 8:34

# Python 3, 89 Bytes

def f(x):
r=[x for _ in range(x)]
for _ in range(x-1):r=[r for _ in range(x)]
print(r)


## Lithp, 82 bytes

(def f #N::((def i #N,I,K::((if(> I 0)((i N(- I 1)(list-fill N K)))K)))(i N N N)))


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I tried implementing this as a list comprehension, but couldn't comprehend how to do it correctly. Instead I went for an implementation based on the JavaScript answer. Unfortunately, my language is fairly long-winded, and this is complicated by the fact that I lack shorthand and other useful features.

A more readable version is available at the Try it Online link.

## Hoon, 56 bytes

|=
n/@
=+
i=1
|-
?:
=(n i)
(reap n n)
(reap n $(i +(i)))  Create a new function that takes an atom n. Make a variable i starting at 1, and start a loop: if i==n return a list with n elements of n, else return a list with n elements of the value returned by recursing to the start of the loop with i = i + 1. I'm a little bit upset that there's not really anything you can do to golf this in Hoon :/ The standard trick of using unnamed variables doesn't apply because it's longer to use lark syntax for once, due to the loop shifting the location of i. > =f |= n/@ =+ i=1 |- ?: =(n i) (reap n n) (reap n$(i +(i)))
> (f 1)
~[1]
> (f 2)
~[~[2 2] ~[2 2]]
> (f 3)
~[~[~[3 3 3] ~[3 3 3] ~[3 3 3]] ~[~[3 3 3] ~[3 3 3] ~[3 3 3]] ~[~[3 3 3] ~[3 3 3] ~[3 3 3]]]
> (f 4)
~[
~[
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
]
~[
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
]
~[
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
]
~[
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
~[~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4] ~[4 4 4 4]]
]
]


# WendyScript, 34 bytes

#:(x){<<j=[x]*x#i:1->x j=[j]*x/>j}
#:(x){<<j=[x]*x#i:1->x j=[j]*x/>j}(2) // [[2, 2], [2, 2]]


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• Is it not possible to have the link actually populate with the your code? – Adám Aug 21 '17 at 19:46
• I will have to add that functionality, I'll get back to you in 30 minutes but that's a good point. – Felix Guo Aug 21 '17 at 19:47
• @Adám updated link – Felix Guo Aug 21 '17 at 21:36

# 12-basic, 42 bytes

A=[N=INPUT()]*N
FOR I=2TO N
A=[A]*N
NEXT?A


# V, 14 bytes

é,"aPÀñDÀpys0]


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input

é,               # write comma
"aP            # paste register A (input)
Àñ          # loop À (number in register A) times
D         # cut to end of line
Àp       # paste À times
ysB]   # surround everything before comma in square brackets

• This prints a trailing comma.. – ბიმო Jun 30 '18 at 21:30
• @BMO is the trailing comma a problem? it was never explicitly stated that it wasn't allowed. if it is a problem I can change it, it just adds one or two characters – JoshM Jul 1 '18 at 21:59

# C (GCC), 53 bytes

Since C "has" multidimensional arrays (i.e. chunks of memory plus automatic offset calculation), this is almost a reasonable solution. Still, it's mostly a joke and borders on non-competing.

f(n){int s=pow(n,n),*p=malloc(s*8);wmemset(p,n,s);}


Try It Online

In the TIO I go through the ceremony of casting the result (which is an int) to the appropriate array type despite the fact that my array print function (appropriately) takes a generic pointer.

While I can't demonstrate that the structure of the array is determined by f (it's not), I do include a flat printout of the elements of the output for an input of 3 using the multidimensional array element access syntax, to show that the layout of the returned memory matches that of the corresponding array type.

## Byte count

• function: 51 bytes
• compiler flags (-lm): 2 bytes

## Unportability

• The result pointer is returned through an int, so this may not work for all heap addresses.
• By using wmemset I require that the sizes of int and wchar_t are equal, and the scaling in the argument to malloc requires the sizes to be at most 8 bytes.
• Implicit declaration madness. I don't even know why passing ints to an unprototyped pow that actually takes doubles seems to work correctly.
• The function "returns" by (I think) just leaving the return value of wmemset in the proper register. This behavior may be particular to the x86 architecture.
• 42 bytes s;f(n){wmemset(malloc(4*s),n,s=pow(n,n));} – ceilingcat Jun 24 '18 at 8:12
• @ceilingcat Nice. But as far as I know neither C nor GCC defines the order of argument evaluation--what guarantees that will work? – Jakob Jun 24 '18 at 16:36

# Julia 0.6, 23 bytes

n->fill(n,fill(n,n)...)


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The first argument to fill is the value to fill the new array with. The following arguments to that are the dimensions of the new array. Here we create those dimensions themselves using another fill call: we create an array of n ns, then splat that with ... so that the first fill call gets n number of dimension arguments, each with value n - so it creates an n-dimensional array where each dimension length is n, and filled with the value n.

# Pip-p, 12 bytes

YaLaY[y]RLay


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### Explanation

YaLaY[y]RLay
Y             Yank into the y variable
a            the first command-line argument, a
La          Fixed-iterations loop, do the following a times:
[y]       y wrapped in a list
RLa    repeated a times (results in a list containing a copies of y)
Y          Yank that list back into y
y  After the loop, print y


## Perl 5, 34 bytes

sub{eval'@_=[(@_)x$x];'x($x="@_")}


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# Lua, 85 bytes

function f(n,d,x)d=d or 2 x={}for i=1,n do x[i]=d>n and n or f(n,d+1)end return x end


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(The TIO link contains a bit of extra code to print the table as Lua has no built-in way of printing a table's contents)

## Explanation

function f(n, d, x)
d = d or 2
x = {}
for i = 1, n do
x[i] = d > n and n or f(n, d + 1)
end
return x
end


As you can probably see, f is a recursive function which takes the number N as n, and two other arguments, d and x. d is the depth, and is not used in the initial call, in which case it defaults to 2. x is not actually used as a parameter, but is there because the function requires a temporary local variable, and it is shorter to declare it as a parameter than to use the local keyword.