Instruction
stringlengths
45
106
input_code
stringlengths
1
13.7k
output_code
stringlengths
1
13.7k
Convert the following code from Delphi to C#, ensuring the logic remains intact.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Write a version of this Delphi function in C++ with identical behavior.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Write the same code in C++ as shown below in Delphi.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Can you help me rewrite this code in Java instead of Delphi, keeping it the same logically?
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Ensure the translated Java code behaves exactly like the original Delphi snippet.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Write the same algorithm in Python as shown in this Delphi implementation.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Ensure the translated Python code behaves exactly like the original Delphi snippet.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Transform the following Delphi implementation into VB, maintaining the same output and logic.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Ensure the translated VB code behaves exactly like the original Delphi snippet.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Rewrite this program in Go while keeping its functionality equivalent to the Delphi version.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Generate a Go translation of this Delphi snippet without changing its computational steps.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Write the same algorithm in C as shown in this Elixir implementation.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Generate an equivalent C version of this Elixir code.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Write a version of this Elixir function in C# with identical behavior.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Translate the given Elixir code snippet into C# without altering its behavior.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Port the provided Elixir code into C++ while preserving the original functionality.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Translate this program into C++ but keep the logic exactly as in Elixir.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Write the same code in Java as shown below in Elixir.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Generate an equivalent Java version of this Elixir code.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Convert this Elixir block to Python, preserving its control flow and logic.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Write a version of this Elixir function in Python with identical behavior.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Port the provided Elixir code into VB while preserving the original functionality.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Write the same code in VB as shown below in Elixir.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Preserve the algorithm and functionality while converting the code from Elixir to Go.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Port the provided Elixir code into Go while preserving the original functionality.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Ensure the translated C code behaves exactly like the original Erlang snippet.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Produce a functionally identical C code for the snippet given in Erlang.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Port the following code from Erlang to C# with equivalent syntax and logic.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Port the provided Erlang code into C# while preserving the original functionality.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Please provide an equivalent version of this Erlang code in C++.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Keep all operations the same but rewrite the snippet in C++.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Produce a language-to-language conversion: from Erlang to Java, same semantics.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Can you help me rewrite this code in Java instead of Erlang, keeping it the same logically?
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Generate an equivalent Python version of this Erlang code.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Ensure the translated Python code behaves exactly like the original Erlang snippet.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Transform the following Erlang implementation into VB, maintaining the same output and logic.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Produce a functionally identical VB code for the snippet given in Erlang.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Rewrite the snippet below in Go so it works the same as the original Erlang code.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Translate the given Erlang code snippet into Go without altering its behavior.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Port the following code from F# to C with equivalent syntax and logic.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Translate the given F# code snippet into C without altering its behavior.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Maintain the same structure and functionality when rewriting this code in C#.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Port the provided F# code into C# while preserving the original functionality.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Ensure the translated C++ code behaves exactly like the original F# snippet.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Rewrite this program in C++ while keeping its functionality equivalent to the F# version.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Change the programming language of this snippet from F# to Java without modifying what it does.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Rewrite this program in Java while keeping its functionality equivalent to the F# version.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Convert the following code from F# to Python, ensuring the logic remains intact.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Translate this program into Python but keep the logic exactly as in F#.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Can you help me rewrite this code in VB instead of F#, keeping it the same logically?
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Rewrite the snippet below in VB so it works the same as the original F# code.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Ensure the translated Go code behaves exactly like the original F# snippet.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Generate a Go translation of this F# snippet without changing its computational steps.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Write a version of this Factor function in C with identical behavior.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Port the provided Factor code into C while preserving the original functionality.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Rewrite this program in C# while keeping its functionality equivalent to the Factor version.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Write the same algorithm in C# as shown in this Factor implementation.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Rewrite this program in C++ while keeping its functionality equivalent to the Factor version.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Translate this program into C++ but keep the logic exactly as in Factor.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Change the programming language of this snippet from Factor to Java without modifying what it does.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Generate a Java translation of this Factor snippet without changing its computational steps.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Change the programming language of this snippet from Factor to Python without modifying what it does.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Transform the following Factor implementation into Python, maintaining the same output and logic.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Convert this Factor snippet to VB and keep its semantics consistent.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Rewrite the snippet below in VB so it works the same as the original Factor code.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Change the programming language of this snippet from Factor to Go without modifying what it does.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Ensure the translated Go code behaves exactly like the original Factor snippet.
USING: arrays io kernel math math.ranges prettyprint sequences vectors ; IN: rosetta.hailstone : hailstone ( n -- seq ) [ 1vector ] keep [ dup 1 number= ] [ dup even? [ 2 / ] [ 3 * 1 + ] if 2dup swap push ] until drop ; <PRIVATE : main ( -- ) 27 hailstone dup dup "The hailstone sequence from 27:" print " has length " write length . " starts with " write 4 head [ unparse ] map ", " join print " ends with " write 4 tail* [ unparse ] map ", " join print 1 100000 [a,b) [ [ hailstone length ] keep 2array ] [ [ [ first ] bi@ > ] most ] map-reduce first2 "The hailstone sequence from " write pprint " has length " write pprint "." print ; PRIVATE> MAIN: main
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Write the same algorithm in C as shown in this Forth implementation.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Convert this Forth block to C, preserving its control flow and logic.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Preserve the algorithm and functionality while converting the code from Forth to C#.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Produce a language-to-language conversion: from Forth to C#, same semantics.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Convert the following code from Forth to C++, ensuring the logic remains intact.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Keep all operations the same but rewrite the snippet in C++.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Generate a Java translation of this Forth snippet without changing its computational steps.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Transform the following Forth implementation into Java, maintaining the same output and logic.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Convert this Forth snippet to Python and keep its semantics consistent.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Change the programming language of this snippet from Forth to Python without modifying what it does.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Convert this Forth block to VB, preserving its control flow and logic.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Transform the following Forth implementation into VB, maintaining the same output and logic.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Change the programming language of this snippet from Forth to Go without modifying what it does.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Convert this Forth block to Go, preserving its control flow and logic.
: hail-next dup 1 and if 3 * 1+ else 2/ then ; : .hail begin dup . dup 1 > while hail-next repeat drop ; : hail-len 1 begin over 1 > while swap hail-next swap 1+ repeat nip ; 27 hail-len . cr 27 .hail cr : longest-hail 0 0 rot 1+ 1 do i hail-len 2dup < if nip nip i swap else drop then loop swap . ." has hailstone sequence length " . ; 100000 longest-hail
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Port the following code from Fortran to C# with equivalent syntax and logic.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Keep all operations the same but rewrite the snippet in C#.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Please provide an equivalent version of this Fortran code in C++.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Keep all operations the same but rewrite the snippet in C++.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Write a version of this Fortran function in C with identical behavior.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Preserve the algorithm and functionality while converting the code from Fortran to C.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Rewrite the snippet below in Java so it works the same as the original Fortran code.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Write a version of this Fortran function in Java with identical behavior.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Rewrite this program in Python while keeping its functionality equivalent to the Fortran version.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Translate the given Fortran code snippet into Python without altering its behavior.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
def hailstone(n): seq = [n] while n>1: n = 3*n + 1 if n & 1 else n//2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert len(h)==112 and h[:4]==[27, 82, 41, 124] and h[-4:]==[8, 4, 2, 1] print("Maximum length %i was found for hailstone(%i) for numbers <100,000" % max((len(hailstone(i)), i) for i in range(1,100000)))
Transform the following Fortran implementation into VB, maintaining the same output and logic.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Change the programming language of this snippet from Fortran to VB without modifying what it does.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Preserve the algorithm and functionality while converting the code from Fortran to PHP.
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Can you help me rewrite this code in PHP instead of Fortran, keeping it the same logically?
program Hailstone implicit none integer :: i, maxn integer :: maxseqlen = 0, seqlen integer, allocatable :: seq(:) call hs(27, seqlen) allocate(seq(seqlen)) call hs(27, seqlen, seq) write(*,"(a,i0,a)") "Hailstone sequence for 27 has ", seqlen, " elements" write(*,"(a,4(i0,a),3(i0,a),i0)") "Sequence = ", seq(1), ", ", seq(2), ", ", seq(3), ", ", seq(4), " ...., ", & seq(seqlen-3), ", ", seq(seqlen-2), ", ", seq(seqlen-1), ", ", seq(seqlen) do i = 1, 99999 call hs(i, seqlen) if (seqlen > maxseqlen) then maxseqlen = seqlen maxn = i end if end do write(*,*) write(*,"(a,i0,a,i0,a)") "Longest sequence under 100000 is for ", maxn, " with ", maxseqlen, " elements" deallocate(seq) contains subroutine hs(number, length, seqArray) integer, intent(in) :: number integer, intent(out) :: length integer, optional, intent(inout) :: seqArray(:) integer :: n n = number length = 1 if(present(seqArray)) seqArray(1) = n do while(n /= 1) if(mod(n,2) == 0) then n = n / 2 else n = n * 3 + 1 end if length = length + 1 if(present(seqArray)) seqArray(length) = n end do end subroutine end program
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Write a version of this Groovy function in C with identical behavior.
def hailstone = { long start -> def sequence = [] while (start != 1) { sequence << start start = (start % 2l == 0l) ? start / 2l : 3l * start + 1l } sequence << start }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Ensure the translated C code behaves exactly like the original Groovy snippet.
def hailstone = { long start -> def sequence = [] while (start != 1) { sequence << start start = (start % 2l == 0l) ? start / 2l : 3l * start + 1l } sequence << start }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Generate an equivalent C# version of this Groovy code.
def hailstone = { long start -> def sequence = [] while (start != 1) { sequence << start start = (start % 2l == 0l) ? start / 2l : 3l * start + 1l } sequence << start }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Generate an equivalent C# version of this Groovy code.
def hailstone = { long start -> def sequence = [] while (start != 1) { sequence << start start = (start % 2l == 0l) ? start / 2l : 3l * start + 1l } sequence << start }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Write the same code in C++ as shown below in Groovy.
def hailstone = { long start -> def sequence = [] while (start != 1) { sequence << start start = (start % 2l == 0l) ? start / 2l : 3l * start + 1l } sequence << start }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }