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Port the provided Delphi code into PHP while preserving the original functionality.
procedure FloatLiterals(Memo: TMemo); var R48: Real48; var SI: Single; var D: Double; var E: Extended; var Cmp: Comp; var Cur: Currency; begin D:=1234; D:=1.234; D:=1234E-4; D:=$7F; D:=123456789.1234; Memo.Lines.Add(FloatToStrF(D,ffGeneral,18,4)); Memo.Lines.Add(FloatToStrF(D,ffExponent,18,4)); Memo.Lines.Add(FloatToStrF(D,ffFixed,18,4)); Memo.Lines.Add(FloatToStrF(D,ffNumber,18,4)); Memo.Lines.Add(FloatToStrF(D,ffCurrency,18,4)); Memo.Lines.Add(Format('%10.4f',[D])); end;
.12 0.1234 1.2e3 7E-10
Generate an equivalent PHP version of this Elixir code.
iex(180)> 0.123 0.123 iex(181)> -123.4 -123.4 iex(182)> 1.23e4 1.23e4 iex(183)> 1.2e-3 0.0012 iex(184)> 1.23E4 1.23e4 iex(185)> 10_000.0 1.0e4 iex(186)> .5 ** (SyntaxError) iex:186: syntax error before: '.' iex(186)> 2. + 3 ** (CompileError) iex:186: invalid call 2.+(3) iex(187)> 1e4 ** (SyntaxError) iex:187: syntax error before: e4
.12 0.1234 1.2e3 7E-10
Preserve the algorithm and functionality while converting the code from Factor to PHP.
3.14 +3.14 -3.14 10e5 10E+5 +10e-5 1. .5 1/2. 1/3. 1/0. -1/0. 0/0. 0x1.0p3 -0x1.0P-3 0b1.010001p3 0o1.21p3 1,234.123,456 +0x1.1234567891234p+0002
.12 0.1234 1.2e3 7E-10
Translate this program into PHP but keep the logic exactly as in Groovy.
println 1.00f println 1.00d println 1.00 println 1.00g println 1.00e0 assert 1.00f instanceof Float assert 1.00d instanceof Double assert 1.00 instanceof BigDecimal assert 1.00g instanceof BigDecimal assert 1.00e0 instanceof BigDecimal
.12 0.1234 1.2e3 7E-10
Transform the following Haskell implementation into PHP, maintaining the same output and logic.
main = print [0.1,23.3,35e-1,56E+2,14.67e1]
.12 0.1234 1.2e3 7E-10
Port the following code from Icon to PHP with equivalent syntax and logic.
procedure main() every write( ![ 1., .1, 0.1, 2e10, 2E10, 3e-1, .4e2, 1.41e2, 8.e+3, 3.141e43 ]) end
.12 0.1234 1.2e3 7E-10
Translate this program into PHP but keep the logic exactly as in J.
0 1 _2 3.4 3e4 3p4 3x4 0 1 _2 3.4 30000 292.227 163.794 16bcafe.babe _16b_cafe.babe _10b11 51966.7 46818.7 _9
.12 0.1234 1.2e3 7E-10
Translate the given Julia code snippet into PHP without altering its behavior.
0.1 .1 1. 1e-1 1e+10 1e-10 0x01p-1
.12 0.1234 1.2e3 7E-10
Generate an equivalent PHP version of this Mathematica code.
These numbers are given in the default output format. Large numbers are given in scientific notation. {6.7^-4,6.7^6,6.7^8} {0.00049625,90458.4,4.06068*10^6} This gives all numbers in scientific notation. ScientificForm[%] {4.9625*10^(-4),9.04584*10^(4),4.06068*10^(6)} This gives the numbers in engineering notation, with exponents arranged to be multiples of three. EngineeringForm[%] {496.25*10^(-6),90.4584*10^(3),4.06068*10^(6)} In accounting form, negative numbers are given in parentheses, and scientific notation is never used. AccountingForm[{5.6,-6.7,10.^7}] {5.6,(6.7),10000000.}
.12 0.1234 1.2e3 7E-10
Ensure the translated PHP code behaves exactly like the original Nim snippet.
var x: float x = 2.3 x = 2.0 x = 0.3 x = 123_456_789.000_000_1 x = 2e10 x = 2.5e10 x = 2.523_123E10 x = 5.2e-10 var y = 2'f32 var z = 2'f64
.12 0.1234 1.2e3 7E-10
Generate an equivalent PHP version of this OCaml code.
0.5 1.0 1. 1e-10 3.14159_26535_89793
.12 0.1234 1.2e3 7E-10
Translate this program into PHP but keep the logic exactly as in Perl.
.5; 0.5; 1.23345e10; 1.23445e-10; 100_000_000;
.12 0.1234 1.2e3 7E-10
Translate this program into PHP but keep the logic exactly as in Racket.
#lang racket .2 2. 2.+0i 2e0 #x10.8 #o1e2 2.0f0 1.0t0
.12 0.1234 1.2e3 7E-10
Write a version of this REXX function in PHP with identical behavior.
options replace format comments java crossref symbols nobinary numeric digits 40 -- make lots of space for big numbers numeric form scientific -- set output form for exponential notation say 'Sample using objects of type "Rexx" (default):' fv = 1.5; say '1.5'.right(20) '==' normalize(fv).right(20) -- 1.5 fv = -1.5; say '-1.5'.right(20) '==' normalize(fv).right(20) -- -1.5 fv = 15e-1; say '15e-1'.right(20) '==' normalize(fv).right(20) -- 1.5 fv = 3e-12; say '3e-12'.right(20) '==' normalize(fv).right(20) -- 3E-12 fv = 3e+12; say '3e+12'.right(20) '==' normalize(fv).right(20) -- 3000000000000 fv = 17.3E-12; say '17.3E-12'.right(20) '==' normalize(fv).right(20) -- 1.73E-11 fv = 17.3E+12; say '17.3E+12'.right(20) '==' normalize(fv).right(20) -- 17300000000000 fv = 17.3E+40; say '17.3E+40'.right(20) '==' normalize(fv).right(20) -- 1.73E+41 fv = 0.033e+9; say '0.033e+9'.right(20) '==' normalize(fv).right(20) -- 33000000 fv = 0.033e-9; say '0.033e-9'.right(20) '==' normalize(fv).right(20) -- 3.3E-11 say say 'Sample using primitive type "float":' ff = float ff = float 15e-1; say '15e-1'.right(20) '==' normalize(ff).right(20) -- 1.5 ff = float 17.3E-12; say '17.3E-12'.right(20) '==' normalize(ff).right(20) -- 1.73E-11 ff = float 17.3E+12; say '17.3E+12'.right(20) '==' normalize(ff).right(20) -- 17300000000000 ff = float 0.033E+9; say '0.033E+9'.right(20) '==' normalize(ff).right(20) -- 33000000 ff = float 0.033E-9; say '0.033E-9'.right(20) '==' normalize(ff).right(20) -- 3.3E-11 say say 'Sample using primitive type "double":' fd = double fd = 15e-1; say '15e-1'.right(20) '==' normalize(fd).right(20) -- 1.5 fd = 17.3E-12; say '17.3E-12'.right(20) '==' normalize(fd).right(20) -- 1.73E-11 fd = 17.3E+12; say '17.3E+12'.right(20) '==' normalize(fd).right(20) -- 17300000000000 fd = 17.3E+40; say '17.3E+40'.right(20) '==' normalize(fd).right(20) -- 1.73E+41 fd = 0.033E+9; say '0.033E+9'.right(20) '==' normalize(fd).right(20) -- 33000000 fd = 0.033E-9; say '0.033E-9'.right(20) '==' normalize(fd).right(20) -- 3.3E-11 say return * Convert input to a Rexx object and add zero to the value which forces NetRexx to change its internal representation * * @param fv a Rexx object containing the floating point value * @return a Rexx object which allows NetRexx string manipulation methods to act on it */ method normalize(fv) private constant return fv + 0
.12 0.1234 1.2e3 7E-10
Write the same algorithm in PHP as shown in this Ruby implementation.
say 1.234; say .1234; say 1234e-5; say 12.34e5;
.12 0.1234 1.2e3 7E-10
Produce a functionally identical PHP code for the snippet given in Scala.
1. 1.0 2432311.7567374 1.234E-10 1.234e-10 758832d 728832f 1.0f 758832D 728832F 1.0F 1 / 2. 1 / 2 Float.MinPositiveValue Float.NaN Float.PositiveInfinity Float.NegativeInfinity Double.MinPositiveValue Double.NaN Double.PositiveInfinity Double.NegativeInfinity
.12 0.1234 1.2e3 7E-10
Can you help me rewrite this code in PHP instead of Swift, keeping it the same logically?
let double = 1.0 as Double let float = 1.0 as Float let scientific = 1.0E-12 let sum = double + float let div = 1.1 / 2 let div1 = 1 / 2
.12 0.1234 1.2e3 7E-10
Write the same algorithm in Rust as shown in this C# implementation.
double d = 1; d = 1d; d = 1D; d = 1.2; d = 1.2d; d = .2; d = 12e-12; d = 12E-12; d = 1_234e-1_2; float f = 1; f = 1f; f = 1F; f = 1.2f; f = .2f; f = 12e-12f; f = 12E-12f; f = 1_234e-1_2f; decimal m = 1; m = 1m; m = 1m; m = 1.2m; m = .2m; m = 12e-12m; m = 12E-12m; m = 1_234e-1_2m;
2.3 3. 2f64 1_000.2_f32
Change the following Java code into Rust without altering its purpose.
1. 1.0 2432311.7567374 1.234E-10 1.234e-10 758832d 728832f 1.0f 758832D 728832F 1.0F 1 / 2. 1 / 2
2.3 3. 2f64 1_000.2_f32
Generate an equivalent Python version of this Rust code.
2.3 3. 2f64 1_000.2_f32
2.3 .3 .3e4 .3e+34 .3e-34 2.e34
Write the same code in VB as shown below in Rust.
2.3 3. 2f64 1_000.2_f32
Sub Main() Dim d As Double Dim s As Single d = -12.3456 d = 1000# d = 0.00001 d = 67# d = 8.9 d = 0.33 d = 0# d = 2# * 10 ^ 3 d = 2E+50 d = 2E-50 s = -12.3456! s = 1000! s = 0.00001! s = 67! s = 8.9! s = 0.33! s = 0! s = 2! * 10 ^ 3 End Sub
Port the following code from C++ to Rust with equivalent syntax and logic.
#include <iostream> int main() { auto double1 = 2.5; auto float1 = 2.5f; auto longdouble1 = 2.5l; auto double2 = 2.5e-3; auto float2 = 2.5e3f; auto double3 = 0x1p4; auto float3 = 0xbeefp-8f; std::cout << "\ndouble1: " << double1; std::cout << "\nfloat1: " << float1; std::cout << "\nlongdouble1: " << longdouble1; std::cout << "\ndouble2: " << double2; std::cout << "\nfloat2: " << float2; std::cout << "\ndouble3: " << double3; std::cout << "\nfloat3: " << float3; std::cout << "\n"; }
2.3 3. 2f64 1_000.2_f32
Generate a C# translation of this Ada snippet without changing its computational steps.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Generate an equivalent C# version of this Ada code.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Convert the following code from Ada to C, ensuring the logic remains intact.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Ensure the translated C code behaves exactly like the original Ada snippet.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Write the same algorithm in C++ as shown in this Ada implementation.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Convert this Ada block to C++, preserving its control flow and logic.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Keep all operations the same but rewrite the snippet in Go.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Write a version of this Ada function in Go with identical behavior.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Rewrite the snippet below in Java so it works the same as the original Ada code.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Write a version of this Ada function in Java with identical behavior.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Convert this Ada snippet to Python and keep its semantics consistent.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Generate an equivalent Python version of this Ada code.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Convert this Ada block to VB, preserving its control flow and logic.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Change the programming language of this snippet from Ada to VB without modifying what it does.
with Ada.Text_IO, Generic_Divisors; procedure Odd_Abundant is function Same(P: Positive) return Positive is (P); package Divisor_Sum is new Generic_Divisors (Result_Type => Natural, None => 0, One => Same, Add => "+"); function Abundant(N: Positive) return Boolean is (Divisor_Sum.Process(N) > N); package NIO is new Ada.Text_IO.Integer_IO(Natural); Current: Positive := 1; procedure Print_Abundant_Line (Idx: Positive; N: Positive; With_Idx: Boolean:= True) is begin if With_Idx then NIO.Put(Idx, 6); Ada.Text_IO.Put(" |"); else Ada.Text_IO.Put(" *** |"); end if; NIO.Put(N, 12); Ada.Text_IO.Put(" | "); NIO.Put(Divisor_Sum.Process(N), 12); Ada.Text_IO.New_Line; end Print_Abundant_Line; begin Ada.Text_IO.Put_Line(" index | number | proper divisor sum "); Ada.Text_IO.Put_Line(" for I in 1 .. 25 loop while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(I, Current); Current := Current + 2; end loop; Ada.Text_IO.Put_Line(" for I in 26 .. 1_000 loop Current := Current + 2; while not Abundant(Current) loop Current := Current + 2; end loop; end loop; Print_Abundant_Line(1000, Current); Ada.Text_IO.Put_Line(" Current := 10**9+1; while not Abundant(Current) loop Current := Current + 2; end loop; Print_Abundant_Line(1, Current, False); end Odd_Abundant;
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Write a version of this Arturo function in C with identical behavior.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Port the following code from Arturo to C with equivalent syntax and logic.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Translate the given Arturo code snippet into C# without altering its behavior.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Write the same code in C# as shown below in Arturo.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Maintain the same structure and functionality when rewriting this code in C++.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Change the following Arturo code into C++ without altering its purpose.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Translate the given Arturo code snippet into Java without altering its behavior.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Can you help me rewrite this code in Java instead of Arturo, keeping it the same logically?
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Generate a Python translation of this Arturo snippet without changing its computational steps.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Write the same code in Python as shown below in Arturo.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Port the following code from Arturo to VB with equivalent syntax and logic.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Convert this Arturo block to VB, preserving its control flow and logic.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Please provide an equivalent version of this Arturo code in Go.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Generate an equivalent Go version of this Arturo code.
abundant?: function [n]-> (2*n) < sum factors n print "the first 25 abundant odd numbers:" [i, found]: @[new 1, new 0] while [found<25][ if abundant? i [ inc 'found print [i "=> sum:" sum factors i] ] 'i + 2 ] [i, found]: @[new 1, new 0] while [found<1000][ if abundant? i [ inc 'found ] 'i + 2 ] print ["the 1000th abundant odd number:" i-2 "=> sum:" sum factors i-2] i: new 1 + 10^9 while ø [ if abundant? i [ print ["the first abundant odd number greater than one billion (10^9):" i "=> sum:" sum factors i] break ] 'i + 2 ]
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Port the provided AutoHotKey code into C while preserving the original functionality.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Translate this program into C but keep the logic exactly as in AutoHotKey.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Maintain the same structure and functionality when rewriting this code in C#.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Please provide an equivalent version of this AutoHotKey code in C#.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Write the same code in C++ as shown below in AutoHotKey.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Generate an equivalent C++ version of this AutoHotKey code.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Keep all operations the same but rewrite the snippet in Java.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Ensure the translated Java code behaves exactly like the original AutoHotKey snippet.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Change the programming language of this snippet from AutoHotKey to Python without modifying what it does.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Generate a Python translation of this AutoHotKey snippet without changing its computational steps.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Can you help me rewrite this code in VB instead of AutoHotKey, keeping it the same logically?
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Transform the following AutoHotKey implementation into VB, maintaining the same output and logic.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Convert this AutoHotKey block to Go, preserving its control flow and logic.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Change the following AutoHotKey code into Go without altering its purpose.
Abundant(num){ sum := 0, str := "" for n, bool in proper_divisors(num) sum += n, str .= (str?"+":"") n return sum > num ? str " = " sum : 0 } proper_divisors(n) { Array := [] if n = 1 return Array Array[1] := true x := Floor(Sqrt(n)) loop, % x+1 if !Mod(n, i:=A_Index+1) && (floor(n/i) < n) Array[floor(n/i)] := true Loop % n/x if !Mod(n, i:=A_Index+1) && (i < n) Array[i] := true return Array }
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Please provide an equivalent version of this AWK code in C.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Write the same code in C as shown below in AWK.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Transform the following AWK implementation into C#, maintaining the same output and logic.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Convert this AWK block to C#, preserving its control flow and logic.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Change the programming language of this snippet from AWK to C++ without modifying what it does.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Ensure the translated C++ code behaves exactly like the original AWK snippet.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Produce a language-to-language conversion: from AWK to Java, same semantics.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Maintain the same structure and functionality when rewriting this code in Java.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Generate a Python translation of this AWK snippet without changing its computational steps.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Produce a functionally identical Python code for the snippet given in AWK.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Preserve the algorithm and functionality while converting the code from AWK to VB.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Convert the following code from AWK to VB, ensuring the logic remains intact.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Generate a Go translation of this AWK snippet without changing its computational steps.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Convert the following code from AWK to Go, ensuring the logic remains intact.
BEGIN { print(" index number sum") fmt = "%8s %10d %10d\n" n = 1 for (c=0; c<25; n+=2) { if (n < sum_proper_divisors(n)) { printf(fmt,++c,n,sum) } } for (; c<1000; n+=2) { if (n < sum_proper_divisors(n)) { c++ } } printf(fmt,1000,n-2,sum) for (n=1000000001; ; n+=2) { if (n < sum_proper_divisors(n)) { break } } printf(fmt,"1st > 1B",n,sum) exit(0) } function sum_proper_divisors(n, j) { sum = 1 for (i=3; i<sqrt(n)+1; i+=2) { if (n % i == 0) { sum += i + (i == (j = n / i) ? 0 : j) } } return(sum) }
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Port the provided Common_Lisp code into C while preserving the original functionality.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Change the following Common_Lisp code into C without altering its purpose.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Transform the following Common_Lisp implementation into C#, maintaining the same output and logic.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Port the following code from Common_Lisp to C# with equivalent syntax and logic.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Translate this program into C++ but keep the logic exactly as in Common_Lisp.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Generate a C++ translation of this Common_Lisp snippet without changing its computational steps.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Change the programming language of this snippet from Common_Lisp to Java without modifying what it does.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Can you help me rewrite this code in Java instead of Common_Lisp, keeping it the same logically?
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Write a version of this Common_Lisp function in Python with identical behavior.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Convert this Common_Lisp snippet to Python and keep its semantics consistent.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
oddNumber = 1 aCount = 0 dSum = 0 from math import sqrt def divisorSum(n): sum = 1 i = int(sqrt(n)+1) for d in range (2, i): if n % d == 0: sum += d otherD = n // d if otherD != d: sum += otherD return sum print ("The first 25 abundant odd numbers:") while aCount < 25: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum )) oddNumber += 2 while aCount < 1000: dSum = divisorSum(oddNumber ) if dSum > oddNumber : aCount += 1 oddNumber += 2 print ("\n1000th abundant odd number:") print (" ",(oddNumber - 2)," proper divisor sum: ",dSum) oddNumber = 1000000001 found = False while not found : dSum = divisorSum(oddNumber ) if dSum > oddNumber : found = True print ("\nFirst abundant odd number > 1 000 000 000:") print (" ",oddNumber," proper divisor sum: ",dSum) oddNumber += 2
Convert the following code from Common_Lisp to VB, ensuring the logic remains intact.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Write the same code in VB as shown below in Common_Lisp.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
Module AbundantOddNumbers Private Function divisorSum(n As Integer) As Integer Dim sum As Integer = 1 For d As Integer = 2 To Math.Round(Math.Sqrt(n)) If n Mod d = 0 Then sum += d Dim otherD As Integer = n \ d IF otherD <> d Then sum += otherD End If End If Next d Return sum End Function Public Sub Main(args() As String) Dim oddNumber As Integer = 1 Dim aCount As Integer = 0 Dim dSum As Integer = 0 Console.Out.WriteLine("The first 25 abundant odd numbers:") Do While aCount < 25 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 Console.Out.WriteLine(oddNumber.ToString.PadLeft(6) & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop Do While aCount < 1000 dSum = divisorSum(oddNumber) If dSum > oddNumber Then aCount += 1 End If oddNumber += 2 Loop Console.Out.WriteLine("1000th abundant odd number:") Console.Out.WriteLine(" " & (oddNumber - 2) & " proper divisor sum: " & dSum) oddNumber = 1000000001 Dim found As Boolean = False Do While Not found dSum = divisorSum(oddNumber) If dSum > oddNumber Then found = True Console.Out.WriteLine("First abundant odd number > 1 000 000 000:") Console.Out.WriteLine(" " & oddNumber & " proper divisor sum: " & dSum) End If oddNumber += 2 Loop End Sub End Module
Write the same algorithm in Go as shown in this Common_Lisp implementation.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Produce a language-to-language conversion: from Common_Lisp to Go, same semantics.
(eval-when (:compile-toplevel :load-toplevel) (ql:quickload '("cl-annot" "iterate" "alexandria"))) (defpackage :abundant-numbers (:use :common-lisp :cl-annot :iterate) (:import-from :alexandria :butlast)) (in-package :abundant-numbers) (annot:enable-annot-syntax) @inline (defun divisors (n) "Returns the divisors of N without sorting them." @type fixnum n (iter (for divisor from (isqrt n) downto 1) (for (values m rem) = (floor n divisor)) @type fixnum divisor (when (zerop rem) (collecting divisor into result) (adjoining m into result)) (finally (return result)))) (defun sum-of-divisors (n) "Returns the sum of the proper divisors of N." @type fixnum n (reduce #'+ (butlast (divisors n)))) (time (progn (format t " Task 1~%") (iter (with i = 0) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (while (< i 25)) (when (< n sum-of-divisors) (incf i) (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 2~%") (iter (with i = 0) (until (= i 1000)) (for n from 1 by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum i n sum-of-divisors (when (< n sum-of-divisors) (incf i)) (finally (format t "~5D: ~6D ~7D~%" i n sum-of-divisors))) (format t "~% Task 3~%") (iter (for n from (1+ (expt 10 9)) by 2) (for sum-of-divisors = (sum-of-divisors n)) @type fixnum n sum-of-divisors (until (< n sum-of-divisors)) (finally (format t "~D ~D~%~%" n sum-of-divisors)))))
package main import ( "fmt" "strconv" ) func divisors(n int) []int { divs := []int{1} divs2 := []int{} for i := 2; i*i <= n; i++ { if n%i == 0 { j := n / i divs = append(divs, i) if i != j { divs2 = append(divs2, j) } } } for i := len(divs2) - 1; i >= 0; i-- { divs = append(divs, divs2[i]) } return divs } func sum(divs []int) int { tot := 0 for _, div := range divs { tot += div } return tot } func sumStr(divs []int) string { s := "" for _, div := range divs { s += strconv.Itoa(div) + " + " } return s[0 : len(s)-3] } func abundantOdd(searchFrom, countFrom, countTo int, printOne bool) int { count := countFrom n := searchFrom for ; count < countTo; n += 2 { divs := divisors(n) if tot := sum(divs); tot > n { count++ if printOne && count < countTo { continue } s := sumStr(divs) if !printOne { fmt.Printf("%2d. %5d < %s = %d\n", count, n, s, tot) } else { fmt.Printf("%d < %s = %d\n", n, s, tot) } } } return n } func main() { const max = 25 fmt.Println("The first", max, "abundant odd numbers are:") n := abundantOdd(1, 0, 25, false) fmt.Println("\nThe one thousandth abundant odd number is:") abundantOdd(n, 25, 1000, true) fmt.Println("\nThe first abundant odd number above one billion is:") abundantOdd(1e9+1, 0, 1, true) }
Translate the given D code snippet into C without altering its behavior.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Generate a C translation of this D snippet without changing its computational steps.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
#include <stdio.h> #include <math.h> unsigned sum_proper_divisors(const unsigned n) { unsigned sum = 1; for (unsigned i = 3, j; i < sqrt(n)+1; i += 2) if (n % i == 0) sum += i + (i == (j = n / i) ? 0 : j); return sum; } int main(int argc, char const *argv[]) { unsigned n, c; for (n = 1, c = 0; c < 25; n += 2) if (n < sum_proper_divisors(n)) printf("%u: %u\n", ++c, n); for ( ; c < 1000; n += 2) if (n < sum_proper_divisors(n)) c ++; printf("\nThe one thousandth abundant odd number is: %u\n", n); for (n = 1000000001 ;; n += 2) if (n < sum_proper_divisors(n)) break; printf("The first abundant odd number above one billion is: %u\n", n); return 0; }
Transform the following D implementation into C#, maintaining the same output and logic.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Convert this D block to C#, preserving its control flow and logic.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
using static System.Console; using System.Collections.Generic; using System.Linq; public static class AbundantOddNumbers { public static void Main() { WriteLine("First 25 abundant odd numbers:"); foreach (var x in AbundantNumbers().Take(25)) WriteLine(x.Format()); WriteLine(); WriteLine($"The 1000th abundant odd number: {AbundantNumbers().ElementAt(999).Format()}"); WriteLine(); WriteLine($"First abundant odd number > 1b: {AbundantNumbers(1_000_000_001).First().Format()}"); } static IEnumerable<(int n, int sum)> AbundantNumbers(int start = 3) => start.UpBy(2).Select(n => (n, sum: n.DivisorSum())).Where(x => x.sum > x.n); static int DivisorSum(this int n) => 3.UpBy(2).TakeWhile(i => i * i <= n).Where(i => n % i == 0) .Select(i => (a:i, b:n/i)).Sum(p => p.a == p.b ? p.a : p.a + p.b) + 1; static IEnumerable<int> UpBy(this int n, int step) { for (int i = n; ; i+=step) yield return i; } static string Format(this (int n, int sum) pair) => $"{pair.n:N0} with sum {pair.sum:N0}"; }
Produce a functionally identical C++ code for the snippet given in D.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Convert this D block to C++, preserving its control flow and logic.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
#include <algorithm> #include <iostream> #include <numeric> #include <sstream> #include <vector> std::vector<int> divisors(int n) { std::vector<int> divs{ 1 }; std::vector<int> divs2; for (int i = 2; i*i <= n; i++) { if (n%i == 0) { int j = n / i; divs.push_back(i); if (i != j) { divs2.push_back(j); } } } std::copy(divs2.crbegin(), divs2.crend(), std::back_inserter(divs)); return divs; } int sum(const std::vector<int>& divs) { return std::accumulate(divs.cbegin(), divs.cend(), 0); } std::string sumStr(const std::vector<int>& divs) { auto it = divs.cbegin(); auto end = divs.cend(); std::stringstream ss; if (it != end) { ss << *it; it = std::next(it); } while (it != end) { ss << " + " << *it; it = std::next(it); } return ss.str(); } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = sumStr(divs); if (printOne) { printf("%d < %s = %d\n", n, s.c_str(), tot); } else { printf("%2d. %5d < %s = %d\n", count, n, s.c_str(), tot); } } } return n; } int main() { using namespace std; const int max = 25; cout << "The first " << max << " abundant odd numbers are:\n"; int n = abundantOdd(1, 0, 25, false); cout << "\nThe one thousandth abundant odd number is:\n"; abundantOdd(n, 25, 1000, true); cout << "\nThe first abundant odd number above one billion is:\n"; abundantOdd(1e9 + 1, 0, 1, true); return 0; }
Translate the given D code snippet into Java without altering its behavior.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }
Port the following code from D to Java with equivalent syntax and logic.
import std.stdio; int[] divisors(int n) { import std.range; int[] divs = [1]; int[] divs2; for (int i = 2; i * i <= n; i++) { if (n % i == 0) { int j = n / i; divs ~= i; if (i != j) { divs2 ~= j; } } } divs ~= retro(divs2).array; return divs; } int abundantOdd(int searchFrom, int countFrom, int countTo, bool printOne) { import std.algorithm.iteration; import std.array; import std.conv; int count = countFrom; int n = searchFrom; for (; count < countTo; n += 2) { auto divs = divisors(n); int tot = sum(divs); if (tot > n) { count++; if (printOne && count < countTo) { continue; } auto s = divs.map!(to!string).join(" + "); if (printOne) { writefln("%d < %s = %d", n, s, tot); } else { writefln("%2d. %5d < %s = %d", count, n, s, tot); } } } return n; } void main() { const int max = 25; writefln("The first %d abundant odd numbers are:", max); int n = abundantOdd(1, 0, 25, false); writeln("\nThe one thousandth abundant odd number is:"); abundantOdd(n, 25, 1000, true); writeln("\nThe first abundant odd number above one billion is:"); abundantOdd(cast(int)(1e9 + 1), 0, 1, true); }
import java.util.ArrayList; import java.util.List; public class AbundantOddNumbers { private static List<Integer> list = new ArrayList<>(); private static List<Integer> result = new ArrayList<>(); public static void main(String[] args) { System.out.println("First 25: "); abundantOdd(1,100000, 25, false); System.out.println("\n\nThousandth: "); abundantOdd(1,2500000, 1000, true); System.out.println("\n\nFirst over 1bn:"); abundantOdd(1000000001, 2147483647, 1, false); } private static void abundantOdd(int start, int finish, int listSize, boolean printOne) { for (int oddNum = start; oddNum < finish; oddNum += 2) { list.clear(); for (int toDivide = 1; toDivide < oddNum; toDivide+=2) { if (oddNum % toDivide == 0) list.add(toDivide); } if (sumList(list) > oddNum) { if(!printOne) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); result.add(oddNum); } if(printOne && result.size() >= listSize) System.out.printf("%5d <= %5d \n",oddNum, sumList(list) ); if(result.size() >= listSize) break; } } private static int sumList(List list) { int sum = 0; for (int i = 0; i < list.size(); i++) { String temp = list.get(i).toString(); sum += Integer.parseInt(temp); } return sum; } }