33
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Given a positive integer n as input, output the reversed range sum of n.

A reversed range sum is created by making an inclusive range up to n, starting with 1 and including n, reversing each of the numbers inside, and summing it.

Example:

Here is what would happen for an input of 10:

Range: [1,2,3,4,5,6,7,8,9,10]

Reverse: [1,2,3,4,5,6,7,8,9,01] (1-char numbers reversed are themselves, 10 reversed is 01 or 1)

Sum: 46

Numbers with 3+ digits are reversed the same way numbers with 2 digits are. For example, 1234 would become 4321.

Test cases:

Input -> Output

10 -> 46
5 -> 15
21 -> 519
58 -> 2350
75 -> 3147
999 -> 454545

Complete text cases to input of 999 can be found here, thanks very much to @fireflame241.

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6
  • \$\begingroup\$ More test case results (not numbered, sorry, but you can parse through and get their line number if you want): Try it online! \$\endgroup\$
    – Stephen
    Jul 31, 2017 at 23:49
  • \$\begingroup\$ @StepHen >:D Charcoal is faster \$\endgroup\$
    – ASCII-only
    Aug 1, 2017 at 0:36
  • 1
    \$\begingroup\$ Relevant \$\endgroup\$ Aug 1, 2017 at 1:12
  • 1
    \$\begingroup\$ OEIS A062918 \$\endgroup\$
    – Leaky Nun
    Aug 1, 2017 at 6:37
  • 6
    \$\begingroup\$ -1 because this is uninteresting. It seems like most, if not all, of the submissions are using the same approach. This challenge seems like a bunch of problems that have already been asked, just piped together with no obvious shortcuts. \$\endgroup\$ Aug 21, 2017 at 8:23

86 Answers 86

2
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Pyth, 8 6 bytes

-2 bytes thanks to FryAmTheEggman!

sms_`h

Try it online!

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1
  • \$\begingroup\$ 1 byte longer version, sms_`dS, that does not abuse implicit U at the end. \$\endgroup\$
    – Mr. Xcoder
    Aug 1, 2017 at 6:44
2
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Tcl, 66 bytes

time {incr s [regsub ^0+ [string rev $n] ""];incr n -1} $n
puts $s

Try it online!

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2
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Neim, 4 bytes

Δ𝐫)𝐬

Try it online!

Explanation

Δ )              for each element 1 to n (outputs list)
 𝐫               reverse 
   𝐬             sum 
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2
  • 2
    \$\begingroup\$ Alternative solution: 𝐈Ψ𝐫𝐬 (create inclusive range, reverse each element, sum) \$\endgroup\$
    – Okx
    Aug 1, 2017 at 11:31
  • \$\begingroup\$ @Okx didn't know that the Ψ token existed! would have definitely used that in hindsight. real nice \$\endgroup\$
    – space junk
    Aug 1, 2017 at 12:01
2
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C (gcc), 71 bytes

q(n,x,p){p=n?q(n/10,x*10+n%10):x;}f(w,a,e){for(a=0;w;)a+=q(w--,0);e=a;}

Try it online!

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1
  • \$\begingroup\$ Wait... what? How f() returns its result without any return statement? Does the e=a instruction manipulates the registers in such a way that the result is stored in the same register than the one used by returned values? \$\endgroup\$
    – scottinet
    Sep 5, 2017 at 15:47
2
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Python 3, 50 bytes

lambda n:sum(int(str(n)[::-1])for n in range(n))

Quite close to idiomatic Python code, and honestly I don't really see much room for improvement.

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2
  • \$\begingroup\$ Use n surrounded by backticks instead of str(n) for a nice save \$\endgroup\$
    – Dion
    Feb 28, 2021 at 7:34
  • \$\begingroup\$ Backticksyntax is Python 2 only. Plus, the answer is off by 1.. it should be range(n+1) \$\endgroup\$
    – movatica
    Feb 28, 2021 at 22:25
2
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Excel VBA, 80 78 49 Bytes

Anonymous VBE Immediate Window function that takes input expected type Integer from range [A1] determines all of the values that fall within the range 1:[A1], and outputs the sum of the reversed values to the VBE immediate window

For i=1To[A1]:s=s+Val(StrReverse(Str(i))):Next:?s
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2
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TXR Lisp: 62 56 bytes:

(opip(range 1)(mapcar[chain tostring reverse toint])sum)

Interactive:

1> (opip(range 1)(mapcar[chain tostring reverse toint])sum)
#<intrinsic fun: 0 param + variadic>
2> [*1 10]
46
3> [*1 999]
454545

The following 44 byte expression, inspired by the Pari/GP solution, is possible; however, it requires the sum macro to be defined:

1> (defmacro sum (var from to expr)
      (with-gensyms (accum)
        ^(for ((,var ,from) (,accum 0))
              ((<= ,var ,to) ,accum)
              ((inc ,accum ,expr) (inc ,var)))))
sum
2> (do sum x 1 @1 (toint(reverse(tostring x))))
#<interpreted fun: lambda (#:arg-01-0171 . #:rest-0170)>
3> [*2 10]
46
4> [*2 999]
454545
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2
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Gaia, 7 bytes

@…)¦v¦Σ

Try it online!

Range, Reverse, and sum!

@             # push an input. stack: n
 …            # generate range. stack: [0...n-1]
  )¦          # map over the list with increment. stack: [1...n]
    v¦        # map over the list with reverse. stack: [1...n], but all digitally reversed
      Σ       # sum the list; output TOS.
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2
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Ruby, 38 35 bytes

Similar to the previous Ruby solution, but a full program and also shorter (for less than an hour)!

p (?1..gets).sum{|x|x.reverse.to_i}

Shortened by 3 bytes thanks to user akostadinov

Try it online!

Explanation

p             # Inspect and print. Written as infix notation to avoid using ()
(?1..gets)    # All strings from "1" to "input", based on successive string format
  .sum{|x|    # Enumerable -> Map to value -> Sum by value
      x.reverse.to_i
  }
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1
  • 1
    \$\begingroup\$ you can do (?1..gets).sum{...}) \$\endgroup\$ Dec 14, 2017 at 18:54
2
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Excel, 59 bytes

=LET(y,COLUMN(A:O),SUM((0&MID(SEQUENCE(A1),y,1))*10^(y-1)))                                               

Explanation

=LET(
y,COLUMN(A:O)                           'y = [1..15] horz.; Excel is accurate to 15 places
SUM((0&MID(SEQUENCE(A1),y,1))*10^(y-1)) 'final result
           SEQUENCE(A1)                 '[1..A1] vertical
    (0&MID(            ,y,1))           'array of individual digits; 0& is to avoid errors on blank cells 
                             *10^(y-1)  'multiply 2nd column by 10, 3rd 100, etc.
SUM(                                  ) 'sum the array
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2
  • \$\begingroup\$ Just an FYI, your answers are popping up in the Low Quality Posts review queue as their length catches the system filter. I'd suggest adding in a brief explanation in order to avoid this :) \$\endgroup\$ Apr 11, 2021 at 13:41
  • \$\begingroup\$ Thank you for letting me know. I will start adding some explanations. \$\endgroup\$
    – Axuary
    Apr 11, 2021 at 15:53
2
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Python 3, 52 bytes

lambda n:sum(int(str(n+1)[::-1])for n in range(n))
lambda n:sum(int(f'{n+1}'[::-1])for n in range(n))

The second is equivalent to the first.

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1
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Pyke, 7 bytes

SF`_b)s

Try it online!

S       -   range(1, input)
 F   )  -  for i in ^:
  `     -     str(i)
   _    -    reversed(^)
    b   -   int(^)
     s  - sum(^)
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1
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MATL, 5 bytes

:VPUs

Try it online!

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1
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Pyth - 7 bytes

sms_`dS

Explanation

sms_`dSQ  Q added implicitly
s         Sum of
 m        map
  s_`d    integer representation of reversal of string representation
          to
      SQ  Range from 1 to input
 
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1
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Pyt, 3 bytes

ř₫Ʃ

Try it online!

The characters perform the following operations: range, reverse, sum.

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2
  • \$\begingroup\$ Dammit. You beat me to it. +1 \$\endgroup\$
    – mudkip201
    Feb 22, 2018 at 3:55
  • \$\begingroup\$ @mudkip201 Yeah I feel like its almost a race to see who can get the most trivial arithmetic challenges answered \$\endgroup\$ Feb 22, 2018 at 14:56
1
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Canvas, 7 bytes

R{ŗ±┤]∑

Try it here!

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1
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Lua (59 bytes)

function r(u)return u<1 and 0 or(u..""):reverse()+r(u-1)end
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1
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PowerShell, 43 bytes

1.."$args"-join'+'|% t*y|%{$s=$_+$s}
$s|iex

Try it online!

This script converts a range [1,2,3,4,5,6,7,8,9,10] to the reversed string 01+9+8+7+6+5+4+3+2+1 and evaluates the string

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1
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R, 89 75 bytes

sum(scan(t=sapply(1:scan(),function(x)intToUtf8(rev(utf8ToInt(c(x,'')))))))

Try it online!

Thanks to JayCe and Dominic van Essen for the golfs.

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4
  • \$\begingroup\$ I know it's an old one but what about this for 82 bytes? \$\endgroup\$
    – JayCe
    Jun 1, 2018 at 17:53
  • \$\begingroup\$ or even this for 75 bytes? \$\endgroup\$ Apr 10, 2021 at 12:44
  • \$\begingroup\$ @DominicvanEssen thanks! \$\endgroup\$
    – Giuseppe
    Apr 10, 2021 at 18:43
  • \$\begingroup\$ @JayCe Doesn't seem like you're active any longer, but thank you for the golf, and apologies I didn't respond sooner! \$\endgroup\$
    – Giuseppe
    Apr 10, 2021 at 18:44
1
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Python 3, 127 bytes

def f(n):
 s=0
 for i in range(1,n+1):
  r=""
  k=str(i)
  for j in range(0,len(k)):
   r=r+k[len(k)-1-j]
  s+=int(r)
 return s
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1
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Java (OpenJDK 8), 81 bytes

long g(int n){return n<1?0:new Long(""+new StringBuffer(""+n).reverse())+g(n-1);}

Try it online!

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1
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Arn -x, 4 bytes

P▀g³

Try it!

Explained

Unpacked: ~)@.<

    ~    One-range to
      _  Input; implied
  )
@        Map with
  .<     Reverse fix
      Implicit sum
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1
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Factor + math.unicode, 39 bytes

[ [1..b] [ >dec reverse dec> ] map Σ ]

An image of running the above code in Factor's REPL

Using build 2166 for the somewhat recent addition of >dec.

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1
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Burlesque, 7 bytes

ro)<-++

Try it online!

ro  # Range
)<- # Reverse
++  # Sum
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1
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Desmos, 72 70 bytes

l=floor(logx)
f(y)=∑_{x=1}^y∑_{n=0}^lmod(floor(x/10^n),10)10^{l-n}

Try it on Desmos!

-2 bytes thanks to Aiden Chow

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1
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Julia 1.0, 38 bytes

!x=sum(Meta.parse∘join∘digits,1:x)

Try it online!

this works because digits returns an array with the digits starting with the least significants first (digits(123) == [3, 2, 1])

alternative, also 38 bytes (but more chars and not as nice)

!x=sum(@.parse(Int,join(digits(1:x))))

Try it online!

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1
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K (ngn/k), 15 14 13 bytes

{+/.'|'$1+!x}

Try it online!

-1 byte thanks to coltim

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1
  • \$\begingroup\$ You could use .' instead of `I$ to save a byte. A couple more could be saved by making this tacit, i.e. +/.'|'$1+!: \$\endgroup\$
    – coltim
    May 15, 2022 at 18:04
1
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J-uby, 16 bytes

:+|:sum+(S|:~|Z)

Attempt This Online!

Explanation

Same idea as the Ruby answers but J-uby helps us out with some handy shortcuts.

:+ | :sum + (S | :~ | Z)

:+ |                      # Make range 1..n, then
     :sum + (          )  # Sum of items...
             S |          #   Converted to string, then
                 :~ |     #   Reversed, then
                      Z   #   Converted to int  
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1
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><>, 68 bytes

1:{:})?^:9)?v:1+!
a:v?(1:[2$0:<.17-%1:,a}+*a{%
0.>~]$d
=?n+a3.>~{~l1

Try it online!

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1
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Japt -x, 4 bytes

õÈìÔ

Try it

õÈìÔ     :Implicit input of integer
õ        :Range [1,input]
 È       :Map
  ì      :  Convert to digit array
   Ô     :  Reverse and implicitly convert back
         :Implicit output of sum of resulting array
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