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Can you help me rewrite this code in Java instead of MATLAB, keeping it the same logically?
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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; } }
Produce a functionally identical Python code for the snippet given in MATLAB.
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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)))
Maintain the same structure and functionality when rewriting this code in Python.
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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)))
Can you help me rewrite this code in VB instead of MATLAB, keeping it the same logically?
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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
Port the following code from MATLAB to VB with equivalent syntax and logic.
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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
Can you help me rewrite this code in Go instead of MATLAB, keeping it the same logically?
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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) }
Convert this MATLAB block to Go, preserving its control flow and logic.
function x = hailstone(n) x = n; while n > 1 if n ~= floor(n / 2) * 2 n = n * 3 + 1; else n = n / 2; end x(end + 1) = n; 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) }
Rewrite the snippet below in C so it works the same as the original Nim code.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
#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 Nim snippet.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
#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 Nim to C# with equivalent syntax and logic.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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 Nim code snippet into C# without altering its behavior.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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 Nim implementation.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
#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 Nim to C++, same semantics.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
#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 algorithm in Java as shown in this Nim implementation.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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; } }
Translate this program into Java but keep the logic exactly as in Nim.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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 following Nim code into Python without altering its purpose.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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 Nim to Python without modifying what it does.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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")
Produce a language-to-language conversion: from Nim to VB, same semantics.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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 language-to-language conversion: from Nim to VB, same semantics.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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
Can you help me rewrite this code in Go instead of Nim, keeping it the same logically?
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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) }
Produce a language-to-language conversion: from Nim to Go, same semantics.
proc hailstone(n: int): seq[int] = result = @[n] var n = n while n > 1: if (n and 1) == 1: n = 3 * n + 1 else: n = n div 2 result.add n when isMainModule: import strformat, strutils let h = hailstone(27) echo &"Hailstone sequence for number 27 has {h.len} elements." let first = h[0..3].join(", ") let last = h[^4..^1].join(", ") echo &"This sequence begins with {first} and ends with {last}." var m, mi = 0 for i in 1..<100_000: let n = hailstone(i).len if n > m: m = n mi = i echo &"\nFor numbers < 100_000, maximum length {m} was found for Hailstone({mi})."
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) }
Please provide an equivalent version of this OCaml code in C.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
#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; }
Change the programming language of this snippet from OCaml to C without modifying what it does.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
#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; }
Keep all operations the same but rewrite the snippet in C#.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 OCaml code into C# while preserving the original functionality.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 OCaml to C++, ensuring the logic remains intact.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
#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 OCaml to C++, same semantics.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
#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 following OCaml code into Java without altering its purpose.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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; } }
Maintain the same structure and functionality when rewriting this code in Java.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 OCaml to Python without modifying what it does.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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")
Produce a language-to-language conversion: from OCaml to Python, same semantics.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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")
Produce a language-to-language conversion: from OCaml to VB, same semantics.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 OCaml to VB without modifying what it does.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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
Translate the given OCaml code snippet into Go without altering its behavior.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 the following code from OCaml to Go, ensuring the logic remains intact.
fun hail (x = 1) = [1] | (x rem 2 = 0) = x :: hail (x div 2) | x = x :: hail (x * 3 + 1) fun hailstorm ([], i, largest, largest_at) = (largest_at, largest) | (x :: xs, i, largest, largest_at) = let val k = len (hail x) in if k > largest then hailstorm (xs, i + 1, k, i) else hailstorm (xs, i + 1, largest, largest_at) end | (x :: xs) = hailstorm (x :: xs, 1, 0, 0) ; val h27 = hail 27; print "hailstone sequence for the number 27 has "; print ` len (h27); print " elements starting with "; print ` sub (h27, 0, 4); print " and ending with "; print ` sub (h27, len(h27)-4, len h27); println "."; val biggest = hailstorm ` iota (100000 - 1); print "The number less than 100,000 which has the longest "; print "hailstone sequence is at element "; print ` ref (biggest, 0); print " and is of length "; println ` ref (biggest, 1);
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 an equivalent C version of this Pascal code.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; end.
#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; }
Can you help me rewrite this code in C instead of Pascal, keeping it the same logically?
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; end.
#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 this program into C# but keep the logic exactly as in Pascal.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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 Pascal function in C# with identical behavior.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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 the same code in C++ as shown below in Pascal.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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; }
Port the following code from Pascal to C++ with equivalent syntax and logic.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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; }
Keep all operations the same but rewrite the snippet in Java.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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 Pascal snippet.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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; } }
Convert the following code from Pascal to Python, ensuring the logic remains intact.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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]) 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 Pascal block to Python, preserving its control flow and logic.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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]) 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 VB but keep the logic exactly as in Pascal.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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
Change the following Pascal code into VB without altering its purpose.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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
Translate this program into Go but keep the logic exactly as in Pascal.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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) }
Translate the given Pascal code snippet into Go without altering its behavior.
program ShowHailstoneSequence; uses SysUtils; const maxN = 10*1000*1000; type tiaArr = array[0..1000] of Uint64; tIntArr = record iaMaxPos : integer; iaArr : tiaArr end; tpiaArr = ^tiaArr; function HailstoneSeqCnt(n: UInt64): NativeInt; begin result := 0; while not(ODD(n)) do Begin inc(result); n := n shr 1; end; IF n > 1 then repeat repeat n := (3*n+1) SHR 1;inc(result,2); until NOT(Odd(n)); repeat n := n shr 1; inc(result); until odd(n); until n = 1; end; procedure GetHailstoneSequence(aStartingNumber: NativeUint;var aHailstoneList: tIntArr); var maxPos: NativeInt; n: UInt64; pArr : tpiaArr; begin with aHailstoneList do begin maxPos := 0; pArr := @iaArr; end; n := aStartingNumber; pArr^[maxPos] := n; while n <> 1 do begin if odd(n) then n := (3*n+1) else n := n shr 1; inc(maxPos); pArr^[maxPos] := n; end; aHailstoneList.iaMaxPos := maxPos; end; var i,Limit: NativeInt; lList: tIntArr; lAverageLength:Uint64; lMaxSequence: NativeInt; lMaxLength,lgth: NativeInt; begin lList.iaMaxPos := 0; GetHailstoneSequence(27, lList); with lList do begin Limit := iaMaxPos; writeln(Format('sequence of %d has %d elements',[iaArr[0],Limit+1])); write(iaArr[0],',',iaArr[1],',',iaArr[2],',',iaArr[3],'..'); For i := iaMaxPos-3 to iaMaxPos-1 do write(iaArr[i],','); writeln(iaArr[iaMaxPos]); end; Writeln; lMaxSequence := 0; lMaxLength := 0; i := 1; limit := 10*i; writeln(' Limit  : number with max length | average length'); repeat lAverageLength:= 0; repeat lgth:= HailstoneSeqCnt(i); inc(lAverageLength, lgth); if lgth >= lMaxLength then begin lMaxSequence := i; lMaxLength := lgth+1; end; inc(i); until i = Limit; Writeln(Format(' %10d : %9d | %4d | %7.3f', [limit,lMaxSequence, lMaxLength,0.9*lAverageLength/Limit])); limit := limit*10; until Limit > maxN; 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 C translation of this Perl snippet without changing its computational steps.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Change the following Perl code into C without altering its purpose.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Port the following code from Perl to C# with equivalent syntax and logic.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Please provide an equivalent version of this Perl code in C#.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Can you help me rewrite this code in C++ instead of Perl, keeping it the same logically?
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Preserve the algorithm and functionality while converting the code from Perl to C++.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Write a version of this Perl function in Java with identical behavior.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
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 Perl implementation into Java, maintaining the same output and logic.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
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 Perl implementation into Python, maintaining the same output and logic.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Can you help me rewrite this code in Python instead of Perl, keeping it the same logically?
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Rewrite the snippet below in VB so it works the same as the original Perl code.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Change the following Perl code into VB without altering its purpose.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Maintain the same structure and functionality when rewriting this code in Go.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Convert the following code from Perl to Go, ensuring the logic remains intact.
use warnings; use strict; my @h = hailstone(27); print "Length of hailstone(27) = " . scalar @h . "\n"; print "[" . join(", ", @h[0 .. 3], "...", @h[-4 .. -1]) . "]\n"; my ($max, $n) = (0, 0); for my $x (1 .. 99_999) { @h = hailstone($x); if (scalar @h > $max) { ($max, $n) = (scalar @h, $x); } } print "Max length $max was found for hailstone($n) for numbers < 100_000\n"; sub hailstone { my ($n) = @_; my @sequence = ($n); while ($n > 1) { if ($n % 2 == 0) { $n = int($n / 2); } else { $n = $n * 3 + 1; } push @sequence, $n; } return @sequence; }
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Produce a functionally identical C code for the snippet given in PowerShell.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Maintain the same structure and functionality when rewriting this code in C.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Preserve the algorithm and functionality while converting the code from PowerShell to C#.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Transform the following PowerShell implementation into C#, maintaining the same output and logic.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Convert the following code from PowerShell to C++, ensuring the logic remains intact.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Convert the following code from PowerShell to C++, ensuring the logic remains intact.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Translate this program into Java but keep the logic exactly as in PowerShell.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
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; } }
Maintain the same structure and functionality when rewriting this code in Java.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
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; } }
Produce a language-to-language conversion: from PowerShell to Python, same semantics.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Rewrite this program in Python while keeping its functionality equivalent to the PowerShell version.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
def hailstone(n): seq = [n] while n > 1: n = 3 * n + 1 if n & 1 else n // 2 seq.append(n) return seq if __name__ == '__main__': h = hailstone(27) assert (len(h) == 112 and h[:4] == [27, 82, 41, 124] and h[-4:] == [8, 4, 2, 1]) max_length, n = max((len(hailstone(i)), i) for i in range(1, 100_000)) print(f"Maximum length {max_length} was found for hailstone({n}) " f"for numbers <100,000")
Produce a language-to-language conversion: from PowerShell to VB, same semantics.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Convert this PowerShell snippet to VB and keep its semantics consistent.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Port the provided PowerShell code into Go while preserving the original functionality.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Preserve the algorithm and functionality while converting the code from PowerShell to Go.
function Get-HailStone { param($n) switch($n) { 1 {$n;return} {$n % 2 -eq 0} {$n; return Get-Hailstone ($n = $n / 2)} {$n % 2 -ne 0} {$n; return Get-Hailstone ($n = ($n * 3) +1)} } } function Get-HailStoneBelowLimit { param($UpperLimit) for ($i = 1; $i -lt $UpperLimit; $i++) { [pscustomobject]@{ 'Number' = $i 'Count' = (Get-HailStone $i).count } } }
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) }
Produce a language-to-language conversion: from Racket to C, same semantics.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
#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.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
#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 language-to-language conversion: from Racket to C#, same semantics.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 Racket code.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 Racket implementation.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
#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; }
Convert the following code from Racket to C++, ensuring the logic remains intact.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
#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; }
Please provide an equivalent version of this Racket code in Java.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 Racket to Java without modifying what it does.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 code in Python as shown below in Racket.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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")
Rewrite the snippet below in Python so it works the same as the original Racket code.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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")
Generate a VB translation of this Racket snippet without changing its computational steps.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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
Maintain the same structure and functionality when rewriting this code in VB.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 Racket code.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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) }
Rewrite the snippet below in Go so it works the same as the original Racket code.
#lang racket (define hailstone (let ([t (make-hasheq)]) (hash-set! t 1 '(1)) (λ(n) (hash-ref! t n (λ() (cons n (hailstone (if (even? n) (/ n 2) (+ (* 3 n) 1))))))))) (define h27 (hailstone 27)) (printf "h(27) = ~s, ~s items\n" `(,@(take h27 4) ... ,@(take-right h27 4)) (length h27)) (define N 100000) (define longest (for/fold ([m #f]) ([i (in-range 1 (add1 N))]) (define h (hailstone i)) (if (and m (> (cdr m) (length h))) m (cons i (length h))))) (printf "for x<=~s, ~s has the longest sequence with ~s items\n" N (car longest) (cdr longest))
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 COBOL to C with equivalent syntax and logic.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
#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 a C translation of this COBOL snippet without changing its computational steps.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
#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 the following code from COBOL to C#, ensuring the logic remains intact.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
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 COBOL code in C#.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
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 COBOL code.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
#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; }
Port the following code from COBOL to C++ with equivalent syntax and logic.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
#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 Java.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
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; } }
Produce a language-to-language conversion: from COBOL to Java, same semantics.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
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 COBOL block to Python, preserving its control flow and logic.
identification division. program-id. hailstones. remarks. cobc -x hailstones.cob. data division. working-storage section. 01 most constant as 1000000. 01 coverage constant as 100000. 01 stones usage binary-long. 01 n usage binary-long. 01 storm usage binary-long. 01 show-arg pic 9(6). 01 show-default pic 99 value 27. 01 show-sequence usage binary-long. 01 longest usage binary-long occurs 2 times. 01 filler. 05 hail usage binary-long occurs 0 to most depending on stones. 01 show pic z(10). 01 low-range usage binary-long. 01 high-range usage binary-long. 01 range usage binary-long. 01 remain usage binary-long. 01 unused usage binary-long. procedure division. accept show-arg from command-line if show-arg less than 1 or greater than coverage then move show-default to show-arg end-if move show-arg to show-sequence move 1 to longest(1) perform hailstone varying storm from 1 by 1 until storm > coverage display "Longest at: " longest(2) " with " longest(1) " elements" goback. hailstone. move 0 to stones move storm to n perform until n equal 1 if stones > most then display "too many hailstones" upon syserr stop run end-if add 1 to stones move n to hail(stones) divide n by 2 giving unused remainder remain if remain equal 0 then divide 2 into n else compute n = 3 * n + 1 end-if end-perform add 1 to stones move n to hail(stones) if stones > longest(1) then move stones to longest(1) move storm to longest(2) end-if if storm equal show-sequence then display show-sequence ": " with no advancing perform varying range from 1 by 1 until range > stones move 5 to low-range compute high-range = stones - 4 if range < low-range or range > high-range then move hail(range) to show display function trim(show) with no advancing if range < stones then display ", " with no advancing end-if end-if if range = low-range and stones > 8 then display "..., " with no advancing end-if end-perform display ": " stones " elements" end-if . end program hailstones.
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")