Abundant odd numbers: Difference between revisions
m
syntax highlighting fixup automation
Thundergnat (talk | contribs) m (syntax highlighting fixup automation) |
|||
Line 29:
{{trans|Python}}
<
V aCount = 0
V dSum = 0
Line 69:
print("\nFirst abundant odd number > 1 000 000 000:")
print(‘ ’oddNumber‘ proper divisor sum: ’dSum)
oddNumber += 2</
{{out}}
Line 108:
=={{header|360 Assembly}}==
<
ABUNODDS CSECT
USING ABUNODDS,R13 base register
Line 192:
XDEC DS CL12 temp for edit
REGEQU equate registers
END ABUNODDS</
{{out}}
<pre>
Line 226:
=={{header|AArch64 Assembly}}==
{{works with|as|Raspberry Pi 3B version Buster 64 bits <br> or android 64 bits with application Termux }}
<
/* ARM assembly AARCH64 Raspberry PI 3B or android 64 bits */
/* program abundant64.s */
Line 774:
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
</syntaxhighlight>
{{output}}
<pre>
Line 815:
[[http://rosettacode.org/wiki/Proper_divisors#Ada]].
<
procedure Odd_Abundant is
Line 871:
end loop;
Print_Abundant_Line(1, Current, False);
end Odd_Abundant;</
{{out}}
Line 907:
=={{header|ALGOL 68}}==
<
# find some abundant odd numbers - numbers where the sum of the proper #
# divisors is bigger than the number #
Line 982:
OD
END
END</
{{out}}
<pre>
Line 1,020:
{{Trans|ALGOL 68}}
Using the divisor_sum procedure from the [[Sum_of_divisors#ALGOL_W]] task.
<
% find some abundant odd numbers - numbers where the sum of the proper %
% divisors is bigger than the number %
Line 1,094:
end while_not_foundOddAn ;
end
end.</
{{out}}
<pre>
Line 1,131:
=={{header|AppleScript}}==
<
if (n < 2) then return 0
set sum to 1
Line 1,183:
set output to output as text
set AppleScript's text item delimiters to astid
return output</
{{output}}
<
945 (proper divisor sum: 975)
1575 (proper divisor sum: 1649)
Line 1,216:
492975 (proper divisor sum: 519361)
The first > 1,000,000,000:
1000000575 (proper divisor sum: 1083561009)"</
=={{header|ARM Assembly}}==
{{works with|as|Raspberry Pi}}
<
/* ARM assembly Raspberry PI */
/* program abundant.s */
Line 1,737:
/***************************************************/
.include "../affichage.inc"
</syntaxhighlight>
<pre>
Program start
Line 1,775:
=={{header|Arturo}}==
<
print "the first 25 abundant odd numbers:"
Line 1,803:
]
'i + 2
]</
{{out}}
Line 1,837:
=={{header|AutoHotkey}}==
<
sum := 0, str := ""
for n, bool in proper_divisors(num)
Line 1,856:
Array[i] := true
return Array
}</
Examples:<
while (count<1000)
{
Line 1,881:
}
MsgBox % output
return</
{{out}}
<pre>First 25 abundant odd numbers:
Line 1,922:
=={{header|AWK}}==
<
# syntax: GAWK -f ABUNDANT_ODD_NUMBERS.AWK
# converted from C
Line 1,957:
return(sum)
}
</syntaxhighlight>
{{out}}
<pre>
Line 1,992:
=={{header|BASIC256}}==
{{trans|Visual Basic .NET}}
<
numimpar = 1
contar = 0
Line 2,046:
End While
End
</syntaxhighlight>
=={{header|C}}==
<
#include <math.h>
Line 2,071:
return 0;
}</
{{out}}
<pre>1: 945
Line 2,103:
=={{header|C sharp|C#}}==
<
using System.Collections.Generic;
using System.Linq;
Line 2,129:
static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}";
}</
{{out}}
<pre>
Line 2,165:
=={{header|C++}}==
{{trans|Go}}
<
#include <iostream>
#include <numeric>
Line 2,246:
return 0;
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
Line 2,282:
=={{header|CLU}}==
<
isqrt = proc (s: int) returns (int)
x0: int := s / 2
Line 2,343:
break
end
end start_up</
{{out}}
<pre>1: 945 aliquot: 975
Line 2,381:
Using the ''iterate'' library instead of the standard ''loop'' or ''do''.
<
(eval-when (:compile-toplevel :load-toplevel)
(ql:quickload '("cl-annot" "iterate" "alexandria")))
Line 2,446:
@type fixnum n sum-of-divisors
(until (< n sum-of-divisors))
(finally (format t "~D ~D~%~%" n sum-of-divisors)))))</
{{out}}
Line 2,493:
=={{header|D}}==
{{trans|C++}}
<
int[] divisors(int n) {
Line 2,551:
writeln("\nThe first abundant odd number above one billion is:");
abundantOdd(cast(int)(1e9 + 1), 0, 1, true);
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
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=={{header|Delphi}}==
{{trans|C}}
<
{$APPTYPE CONSOLE}
Line 2,635:
end.
</syntaxhighlight>
{{out}}
<pre>1: 945
Line 2,667:
=={{header|F_Sharp|F#}}==
<
// Abundant odd numbers. Nigel Galloway: August 1st., 2021
let fN g=Seq.initInfinite(int64>>(+)1L)|>Seq.takeWhile(fun n->n*n<=g)|>Seq.filter(fun n->g%n=0L)|>Seq.sumBy(fun n->let i=g/n in n+(if i=n then 0L else i))
Line 2,674:
let n,g=aon 1L|>Seq.item 999 in printfn "\nThe 1000th abundant odd number is %d. The sum of it's divisors is %d" n g
let n,g=aon 1000000001L|>Seq.head in printfn "\nThe first abundant odd number greater than 1000000000 is %d. The sum of it's divisors is %d" n g
</syntaxhighlight>
{{out}}
<pre>
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=={{header|Factor}}==
<
math.primes.factors sequences tools.memory.private ;
IN: rosetta-code.abundant-odd-numbers
Line 2,733:
[ print show nl ] 2tri@ ;
MAIN: abundant-odd-numbers-demo</
{{out}}
<pre>
Line 2,773:
A basic direct solution. A more robust alternative would be to find
the prime factors and then use a formulaic approach.
<
program main
use,intrinsic :: iso_fortran_env, only : int8, int16, int32, int64
Line 2,821:
end program main
</syntaxhighlight>
{{out}}
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=={{header|FreeBASIC}}==
{{trans|Visual Basic .NET}}
<
Declare Function SumaDivisores(n As Integer) As Integer
Line 2,915:
Loop
End
</syntaxhighlight>
{{out}}
<pre>
Line 2,954:
=={{header|Frink}}==
Frink has efficient functions for factoring numbers that use trial division, wheel factoring, and Pollard rho factoring.
<
n = 3
Line 2,996:
println["$n: proper divisor sum " + sum[allFactors[n, 1, false]]]
</
{{out}}
<pre>
Line 3,035:
=={{header|FutureBasic}}==
{{trans|C}}
<
include "NSLog.incl"
Line 3,054:
HandleEvents
</syntaxhighlight>
{{out}}
<pre>
Line 3,089:
=={{header|Go}}==
<
import (
Line 3,161:
fmt.Println("\nThe first abundant odd number above one billion is:")
abundantOdd(1e9+1, 0, 1, true)
}</
{{out}}
Line 3,201:
=={{header|Groovy}}==
{{trans|Java}}
<
static List<Integer> divisors(int n) {
List<Integer> divs = new ArrayList<>()
Line 3,265:
abundantOdd((int) (1e9 + 1), 0, 1, true)
}
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
Line 3,301:
=={{header|Haskell}}==
<
divisorSum :: Integral a => a -> a
Line 3,329:
printAbundant $ oddAbundants 1 !! 1000
putStrLn "The first odd abundant number above 1000000000 is:"
printAbundant . head . oddAbundants $ 10 ^ 9</
{{out}}
Line 3,364:
Or, importing Data.Numbers.Primes (and significantly faster):
<
import Data.Numbers.Primes
Line 3,402:
( [1 + billion, 3 + billion ..]
>>= abundantTuple
)</
{{Out}}
<pre>First 25 abundant odd numbers with their divisor sums:
Line 3,479:
=={{header|Java}}==
<
import java.util.List;
Line 3,524:
}
</syntaxhighlight>
{{out}}
<pre>
Line 3,566:
Composing reusable functions and generators:
{{Trans|Python}}
<
'use strict';
const main = () => {
Line 3,776:
// MAIN ---
return main();
})();</
{{Out}}
<pre>First 25 abundant odd numbers, with their divisor sums:
Line 3,812:
=={{header|jq}}==
<syntaxhighlight lang=jq>
# The factors, unsorted
def factors:
Line 3,828:
| (factors | add) as $sum
| select($sum > 2*.)
| [., $sum] ;</
Computing the first abundant number greater than 10^9 is presently impractical using jq, but for the other tasks:
Line 3,837:
+ nth(999; abundant_odd_numbers))
| @tsv
</syntaxhighlight>
{{out}}
<pre>
Line 3,871:
=={{header|Julia}}==
<
function propfact(n)
Line 3,909:
println("The first abundant odd number greater than one billion:")
oddabundantsfrom(1000000000, 1)
</
<pre>
First 25 abundant odd numbers:
Line 3,944:
=={{header|Kotlin}}==
{{trans|D}}
<
val divs = mutableListOf(1)
val divs2 = mutableListOf<Int>()
Line 4,001:
println("\nThe first abundant odd number above one billion is:")
abundantOdd((1e9 + 1).toInt(), 0, 1, true)
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
Line 4,038:
=={{header|Lobster}}==
{{trans|C}}
<
// Note that the following function is for odd numbers only
// Use "for (unsigned i = 2; i*i <= n; i++)" for even and odd numbers
Line 4,080:
abundant_odd_numbers()
</syntaxhighlight>
{{out}}
<pre>
Line 4,114:
=={{header|Lua}}==
<
function sumDivs (x)
local sum, sqr = 1, math.sqrt(x)
Line 4,150:
for k, v in pairs(oddAbundants("First", 25)) do showResult(k, v) end
showResult("1000", oddAbundants("Nth", 1000))
showResult("Above 1e6", oddAbundants("Above", 1e6))</
{{out}}
<pre>1: the proper divisors of 945 sum to 975
Line 4,182:
=={{header|MAD}}==
<
INTERNAL FUNCTION(ND)
Line 4,216:
VECTOR VALUES HUGENO =
0 $25HFIRST ABOVE 1 BILLION IS ,I10,S1,7HDIVSUM ,I10*$
END OF PROGRAM</
{{out}}
Line 4,252:
=={{header|Maple}}==
<
with(NumberTheory):
Line 4,293:
cat("First abundant odd number > 10^9 is ", number, ", its sum of divisors is ", SumOfDivisors(number), ", and its sum of proper divisors is ",divisorSum(number));
</syntaxhighlight>
{{out}}<pre>
"First 25 abundant odd numbers"
Line 4,354:
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<
AbundantQ[n_] := TrueQ[Greater[Total @ Most @ Divisors @ n, n]]
res = {};
Line 4,384:
i += 2;
];
res</
{{out}}
<pre>{{945,975},{1575,1649},{2205,2241},{2835,2973},{3465,4023},{4095,4641},{4725,5195},{5355,5877},{5775,6129},{5985,6495},{6435,6669},{6615,7065},{6825,7063},{7245,7731},{7425,7455},{7875,8349},{8085,8331},{8415,8433},{8505,8967},{8925,8931},{9135,9585},{9555,9597},{9765,10203},{10395,12645},{11025,11946}}
Line 4,391:
=={{header|Maxima}}==
<
while k < 25 do (
n: n+2,
Line 4,400:
),
return(l)
);</
{{out}}
<pre>[[945,1920],[1575,3224],[2205,4446],[2835,5808],[3465,7488],[4095,8736],[4725,9920],[5355,11232],[5775,11904],[5985,12480],[6435,13104],[6615,13680],[6825,13888],[7245,14976],[7425,14880],[7875,16224],[8085,16416],[8415,16848],[8505,17472],[8925,17856],[9135,18720],[9555,19152],[9765,19968],[10395,23040],[11025,22971]]</pre>
<
while k < 1000 do (
n: n+2,
Line 4,410:
),
return([n,divsum(n)])
);</
{{out}}
<pre>[492975,1012336]</pre>
<
while n < 10^8 do (
if not mod(n,3)=0 then (
Line 4,423:
),
return(l)
);</
{{out}}
<pre>[5,25,35,175,385,1925,5005,25025,85085,425425,1616615,8083075,37182145,56581525]</pre>
=={{header|Nim}}==
<
from math import sqrt
import strformat
Line 4,483:
echo fmt"The sum of its proper divisors is {s}."
break
</syntaxhighlight>
{{out}}
Line 4,572:
=={{header|Pascal}}==
{{works with|Free Pascal}} {{works with|Delphi}}
<
program AbundantOddNumbers;
{$IFDEF FPC}
Line 4,752:
Inc(N, 2);
WriteLn('The first abundant odd number above one billion is: ',OutNum(N));
end.</
{{out}}
<pre>
Line 4,793:
{{trans|Raku}}
{{libheader|ntheory}}
<
use warnings;
use feature 'say';
Line 4,816:
say for odd_abundants(1, 25);
say "\nOne thousandth abundant odd number:\n", (odd_abundants(1, 1000))[999];
say "\nFirst abundant odd number above one billion:\n", odd_abundants(999_999_999, 1);</
{{out}}
<pre style="height:20ex">First 25 abundant odd numbers:
Line 4,852:
=={{header|Phix}}==
<!--<
<span style="color: #008080;">function</span> <span style="color: #000000;">abundantOdd</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">done</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">lim</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">bool</span> <span style="color: #000000;">printAll</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">done</span><span style="color: #0000FF;"><</span><span style="color: #000000;">lim</span> <span style="color: #008080;">do</span>
Line 4,874:
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"The first abundant odd number above one billion is:"</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">abundantOdd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1e9</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">false</span><span style="color: #0000FF;">)</span>
<!--</
{{out}}
<pre>
Line 4,910:
=={{header|PicoLisp}}==
<
(if (assoc Key (val Var))
(con @ (inc (cdr @)))
Line 4,955:
'****
1000000575
(factor-sum 1000000575) ) )</
{{out}}
<pre>
Line 4,988:
=={{header|Processing}}==
<
println("First 25 abundant odd numbers: ");
int abundant = 0;
Line 5,030:
}
return sum;
}</
{{out}}
<pre>First 25 abundant odd numbers:
Line 5,065:
=={{header|PureBasic}}==
{{trans|C}}
<
Line 5,134:
Input()
EndIf</
{{out}}
<pre> 1: 945 -> 975 = 1+3+5+7+9+15+21+27+35+45+63+105+135+189+315
Line 5,171:
===Procedural===
{{trans|Visual Basic .NET}}
<
# Abundant odd numbers - Python
Line 5,216:
print ("\nFirst abundant odd number > 1 000 000 000:")
print (" ",oddNumber," proper divisor sum: ",dSum)
oddNumber += 2</
{{out}}
<pre>
Line 5,254:
===Functional===
<
from math import sqrt
Line 5,354:
if __name__ == '__main__':
main()</
{{Out}}
<pre>First 25 abundant odd numbers with their divisor sums:
Line 5,390:
=={{header|q}}==
<
sd:sum s@ / sum of proper divisors
abundant:{x<sd x}
Filter:{y where x each y}</
Solution largely follows that for [[#J]], except the crucial definition of <code>s</code>.
The definition here is naïve. It suffices for the first two items in this task, but takes minutes to execute the third item on a 2018 Mac with 64GB memory.
{{out}}
<
1054
Line 5,408:
q)1 sd\(not abundant@)(2+)/1000000000-1 / first abundant odd number above 1,000,000,000 and its divisors
1000000575 1083561009</
References:
* [https://code.kx.com/q/ref/ Language Reference]
Line 5,417:
<code>factors</code> is defined at [[Factors of an integer#Quackery]].
<
0 -1 [ 2 +
Line 5,439:
[ 2 + dup sigmasum
over 2 * > until ]
dup echo sp sigmasum echo cr</
{{out}}
Line 5,475:
=={{header|R}}==
<
find_div_sum <- function(x){
Line 5,515:
# Get the first after 1e9
cat("First odd abundant after 1e9 is")
get_n_abun(index = 1e9 + 1, total = 1, print_all = F)</
{{Out}}
Line 5,553:
=={{header|Racket}}==
<
(require math/number-theory
Line 5,566:
(for/list ([i (in-range 25)] [x (make-generator 0)]) x) ; Task 1
(for/last ([i (in-range 1000)] [x (make-generator 0)]) x) ; Task 2
(for/first ([x (make-generator (add1 (inexact->exact 1e9)))]) x) ; Task 3</
{{out}}
Line 5,603:
{{works with|Rakudo|2019.03}}
<
my @l = x.is-prime ?? 1 !! flat
1, (3 .. x.sqrt.floor).map: -> \d {
Line 5,629:
put "\nOne thousandth abundant odd number:\n" ~ odd-abundants( :start-at(1) )[999] ~
"\n\nFirst abundant odd number above one billion:\n" ~ odd-abundants( :start-at(1_000_000_000) ).head;</
{{out}}
<pre>First 25 abundant odd numbers:
Line 5,668:
The '''sigO''' function is a specialized version of the '''sigma''' function optimized just for ''odd'' numbers.
<
parse arg Nlow Nuno Novr . /*obtain optional arguments from the CL*/
if Nlow=='' | Nlow=="," then Nlow= 25 /*Not specified? Then use the default.*/
Line 5,707:
end /*k*/ /* ___*/
if k*k==x then return s + k /*Was X a square? If so, add √ x */
return s /*return (sigma) sum of the divisors. */</
{{out|output|text= when using the default input:}}
<pre>
Line 5,742:
=={{header|Ring}}==
<
#Project: Anbundant odd numbers
Line 5,809:
see "" + index + ". " + string(n) + ": divisor sum: " +
see string(nArray[m]) + " = " + string(sum) + nl + nl
</syntaxhighlight>
<pre>
Line 5,874:
=={{header|Ruby}}==
proper_divisors method taken from http://rosettacode.org/wiki/Proper_divisors#Ruby
<
class Integer
Line 5,899:
puts "\n%d with sum %#d" % generator_odd_abundants.take(1000).last
puts "\n%d with sum %#d" % generator_odd_abundants(1_000_000_000).next
</syntaxhighlight>
=={{header|Rust}}==
{{trans|Go}}
<
let mut divs = vec![1];
let mut divs2 = Vec::new();
Line 5,956:
println!("The first abundant odd number above one billion is:");
abundant_odd(1e9 as u64 + 1, 0, 1, true);
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
Line 5,992:
=={{header|Scala}}==
{{trans|D}}
<
object Abundant {
Line 6,051:
abundantOdd((1e9 + 1).intValue(), 0, 1, printOne = true)
}
}</
{{out}}
<pre>The first 25 abundant odd numbers are:
Line 6,087:
=={{header|Sidef}}==
<
n.sigma > 2*n
}
Line 6,113:
with(odd_abundants(1e9).first) {|n|
printf(sep + fstr, '***', n, n.sigma-n)
}</
{{out}}
<pre>
Line 6,150:
=={{header|Smalltalk}}==
<
[:nr |
|divs|
Line 6,196:
Transcript cr; showCR:'the 1000th odd abundant number is:'.
"from set of abdundant numbers>= 3, print 1000th to 1000th"
printNAbundant value:3 value:1000 value:1000.</
{{out}}
<pre>first 25 odd abundant numbers:
Line 6,236:
=={{header|Swift}}==
<
@inlinable
public func factors(sorted: Bool = true) -> [Self] {
Line 6,271:
.first(where: { $1.0 })!
print("first odd abundant number over 1 billion: \(bigA), sigma: \(bigFactors.reduce(0, +))")</
{{out}}
Line 6,359:
Loop
Return (c@)</
{{out}}
<pre> 1 945
Line 6,395:
=={{header|Visual Basic .NET}}==
{{Trans|ALGOL 68}}
<
' find some abundant odd numbers - numbers where the sum of the proper
' divisors is bigger than the number
Line 6,453:
Loop
End Sub
End Module</
{{out}}
<pre>
Line 6,490:
=={{header|Vlang}}==
{{trans|go}}
<
mut divs := [i64(1)]
mut divs2 := []i64{}
Line 6,557:
println("\nThe first abundant odd number above one billion is:")
abundant_odd(1_000_000_001, 0, 1, true)
}</
{{out}}
Line 6,568:
{{libheader|Wren-fmt}}
{{libheader|Wren-math}}
<
import "/math" for Int, Nums
Line 6,603:
System.print("\nThe first abundant odd number above one billion is:")
abundantOdd.call(1e9+1, 0, 1, true)</
{{out}}
Line 6,643:
=={{header|X86 Assembly}}==
Assemble with tasm and tlink /t
<
.code
.486
Line 6,714:
int 29h
no30: ret
end start</
{{out}}
<pre>
Line 6,747:
=={{header|XPL0}}==
<
[Cnt:= 0;
Num:= 3; \find odd abundant numbers
Line 6,771:
Num:= Num+2;
];
]</
{{out}}
Line 6,805:
=={{header|zkl}}==
<
Walker.zero().tweak(fcn(rn){
n:=rn.value;
Line 6,818:
}
}.fp(Ref(startAt.isOdd and startAt or startAt+1)))
}</
<
[3.. n.toFloat().sqrt().toInt(), 2].pump(List(1),'wrap(d){
if( (y:=n/d) *d != n) return(Void.Skip);
Line 6,830:
println("%6,d: %6,d = %s".fmt(n, ds.sum(0), ds.sort().concat(" + ")))
}
}</
<
println("First 25 abundant odd numbers:");
Line 6,840:
println("\nThe first abundant odd number above one billion is:");
printOAs(oddAbundants(1_000_000_000).next());</
{{out}}
<pre style="height:45ex; font-size:83%">
|