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Produce a functionally identical Python code for the snippet given in COBOL.
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")
Keep all operations the same but rewrite the snippet in VB.
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.
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Rewrite the snippet below in VB so it works the same as the original 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.
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
Generate a Go 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.
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 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.
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Port the provided REXX code into C while preserving the original functionality.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
#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 REXX code into C without altering its purpose.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Write the same code in C# as shown below in REXX.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Produce a functionally identical C# code for the snippet given in REXX.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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 REXX function in C++ with identical behavior.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
#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 functionally identical C++ code for the snippet given in REXX.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
#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 the given REXX code snippet into Java without altering its behavior.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Write a version of this REXX function in Java with identical behavior.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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; } }
Please provide an equivalent version of this REXX code in Python.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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 REXX, keeping it the same logically?
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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 REXX to VB, same semantics.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Write a version of this REXX function in VB with identical behavior.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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
Generate an equivalent Go version of this REXX code.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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 REXX snippet to Go and keep its semantics consistent.
options replace format comments java crossref savelog symbols binary do start = 27 hs = hailstone(start) hsCount = hs.words say 'The number' start 'has a hailstone sequence comprising' hsCount 'elements' say ' its first four elements are:' hs.subword(1, 4) say ' and last four elements are:' hs.subword(hsCount - 3) hsMax = 0 hsCountMax = 0 llimit = 100000 loop x_ = 1 to llimit - 1 hs = hailstone(x_) hsCount = hs.words if hsCount > hsCountMax then do hsMax = x_ hsCountMax = hsCount end end x_ say 'The number' hsMax 'has the longest hailstone sequence in the range 1 to' llimit - 1 'with a sequence length of' hsCountMax catch ex = Exception ex.printStackTrace end return method hailstone(hn = long) public static returns Rexx signals IllegalArgumentException hs = Rexx('') if hn <= 0 then signal IllegalArgumentException('Invalid start point. Must be a positive integer greater than 0') loop label n_ while hn > 1 hs = hs' 'hn if hn // 2 \= 0 then hn = hn * 3 + 1 else hn = hn % 2 end n_ hs = hs' 'hn return hs.strip
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 Ruby block to C, preserving its control flow and logic.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
#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 Ruby to C with equivalent syntax and logic.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
#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; }
Transform the following Ruby implementation into C#, maintaining the same output and logic.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Ruby code in C#.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Ruby code snippet into C++ without altering its behavior.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
#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 provided Ruby code into C++ while preserving the original functionality.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
#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 Ruby to Java.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Can you help me rewrite this code in Java instead of Ruby, keeping it the same logically?
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Python but keep the logic exactly as in Ruby.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Ruby snippet to Python and keep its semantics consistent.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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")
Ensure the translated VB code behaves exactly like the original Ruby snippet.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Ruby code snippet into VB without altering its behavior.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Write the same algorithm in Go as shown in this Ruby implementation.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Ruby code.
def hailstone(n) seq = [n] until n == 1 n = n.even? ? n // 2 : n * 3 + 1 seq << n end seq end max_len = (1...100_000).max_by{|n| hailstone(n).size } max = hailstone(max_len) puts ([max_len, max.size, max.max, max.first(4), max.last(4)]) twenty_seven = hailstone(27) puts ([twenty_seven.size, twenty_seven.first(4), max.last(4)])
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 Scala snippet without changing its computational steps.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
#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.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Generate an equivalent C# version of this Scala code.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 this Scala snippet to C# and keep its semantics consistent.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 Scala implementation into C++, maintaining the same output and logic.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Translate this program into C++ but keep the logic exactly as in Scala.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Can you help me rewrite this code in Java instead of Scala, keeping it the same logically?
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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; } }
Keep all operations the same but rewrite the snippet in Java.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 Scala to Python, same semantics.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 Scala snippet to Python and keep its semantics consistent.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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")
Please provide an equivalent version of this Scala code in VB.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Produce a functionally identical VB code for the snippet given in Scala.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 this program in Go while keeping its functionality equivalent to the Scala version.
object HailstoneSequence extends App { def hailstone(n: Int): Stream[Int] = n #:: (if (n == 1) Stream.empty else hailstone(if (n % 2 == 0) n / 2 else n * 3 + 1)) val nr = args.headOption.map(_.toInt).getOrElse(27) val collatz = hailstone(nr) println(s"Use the routine to show that the hailstone sequence for the number: $nr.") println(collatz.toList) println(s"It has ${collatz.length} elements.") println println( "Compute the number < 100,000, which has the longest hailstone sequence with that sequence's length.") val (n, len) = (1 until 100000).map(n => (n, hailstone(n).length)).maxBy(_._2) println(s"Longest hailstone sequence length= $len occurring with number $n.") }
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 Swift.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
#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 Swift to C with equivalent syntax and logic.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
#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 Swift, keeping it the same logically?
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 Swift code.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
#include <iostream> #include <vector> #include <utility> std::vector<int> hailstone(int i) { std::vector<int> v; while(true){ v.push_back(i); if (1 == i) break; i = (i % 2) ? (3 * i + 1) : (i / 2); } return v; } std::pair<int,int> find_longest_hailstone_seq(int n) { std::pair<int, int> maxseq(0, 0); int l; for(int i = 1; i < n; ++i){ l = hailstone(i).size(); if (l > maxseq.second) maxseq = std::make_pair(i, l); } return maxseq; } int main () { std::vector<int> h27; h27 = hailstone(27); int l = h27.size(); std::cout << "length of hailstone(27) is " << l; std::cout << " first four elements of hailstone(27) are "; std::cout << h27[0] << " " << h27[1] << " " << h27[2] << " " << h27[3] << std::endl; std::cout << " last four elements of hailstone(27) are " << h27[l-4] << " " << h27[l-3] << " " << h27[l-2] << " " << h27[l-1] << std::endl; std::pair<int,int> m = find_longest_hailstone_seq(100000); std::cout << "the longest hailstone sequence under 100,000 is " << m.first << " with " << m.second << " elements." <<std::endl; return 0; }
Can you help me rewrite this code in C++ instead of Swift, keeping it the same logically?
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
#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 Swift function in Java with identical behavior.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 Java as shown below in Swift.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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; } }
Port the provided Swift code into Python while preserving the original functionality.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 the given Swift code snippet into Python without altering its behavior.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 the following code from Swift to VB, ensuring the logic remains intact.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 Swift code snippet into VB without altering its behavior.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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) }
Transform the following Swift implementation into Go, maintaining the same output and logic.
func hailstone(var n:Int) -> [Int] { var arr = [n] while n != 1 { if n % 2 == 0 { n /= 2 } else { n = (3 * n) + 1 } arr.append(n) } return arr } let n = hailstone(27) println("hailstone(27): \(n[0...3]) ... \(n[n.count-4...n.count-1]) for a count of \(n.count).") var longest = (n: 1, len: 1) for i in 1...100_000 { let new = hailstone(i) if new.count > longest.len { longest = (i, new.count) } } println("Longest sequence for numbers under 100,000 is with \(longest.n). Which has \(longest.len) items.")
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 Tcl code.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
#include <stdio.h> #include <stdlib.h> int hailstone(int n, int *arry) { int hs = 1; while (n!=1) { hs++; if (arry) *arry++ = n; n = (n&1) ? (3*n+1) : (n/2); } if (arry) *arry++ = n; return hs; } int main() { int j, hmax = 0; int jatmax, n; int *arry; for (j=1; j<100000; j++) { n = hailstone(j, NULL); if (hmax < n) { hmax = n; jatmax = j; } } n = hailstone(27, NULL); arry = malloc(n*sizeof(int)); n = hailstone(27, arry); printf("[ %d, %d, %d, %d, ...., %d, %d, %d, %d] len=%d\n", arry[0],arry[1],arry[2],arry[3], arry[n-4], arry[n-3], arry[n-2], arry[n-1], n); printf("Max %d at j= %d\n", hmax, jatmax); free(arry); return 0; }
Rewrite the snippet below in C so it works the same as the original Tcl code.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
#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 Tcl snippet.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Hailstone { class Program { public static List<int> hs(int n,List<int> seq) { List<int> sequence = seq; sequence.Add(n); if (n == 1) { return sequence; }else{ int newn = (n % 2 == 0) ? n / 2 : (3 * n) + 1; return hs(newn, sequence); } } static void Main(string[] args) { int n = 27; List<int> sequence = hs(n,new List<int>()); Console.WriteLine(sequence.Count + " Elements"); List<int> start = sequence.GetRange(0, 4); List<int> end = sequence.GetRange(sequence.Count - 4, 4); Console.WriteLine("Starting with : " + string.Join(",", start) + " and ending with : " + string.Join(",", end)); int number = 0, longest = 0; for (int i = 1; i < 100000; i++) { int count = (hs(i, new List<int>())).Count; if (count > longest) { longest = count; number = i; } } Console.WriteLine("Number < 100000 with longest Hailstone seq.: " + number + " with length of " + longest); } } }
Ensure the translated C# code behaves exactly like the original Tcl snippet.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
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 Tcl, keeping it the same logically?
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
#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 Tcl code in C++.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
#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 this Tcl block to Java, preserving its control flow and logic.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Generate an equivalent Java version of this Tcl code.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; class Hailstone { public static List<Long> getHailstoneSequence(long n) { if (n <= 0) throw new IllegalArgumentException("Invalid starting sequence number"); List<Long> list = new ArrayList<Long>(); list.add(Long.valueOf(n)); while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; list.add(Long.valueOf(n)); } return list; } public static void main(String[] args) { List<Long> sequence27 = getHailstoneSequence(27); System.out.println("Sequence for 27 has " + sequence27.size() + " elements: " + sequence27); long MAX = 100000; { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = getHailstoneSequence(i).size(); if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 1, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; int highestCount = 1; for (long i = 2; i < MAX; i++) { int count = 1; long n = i; while (n != 1) { if ((n & 1) == 0) n = n / 2; else n = 3 * n + 1; count++; } if (count > highestCount) { highestCount = count; highestNumber = i; } } System.out.println("Method 2, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } { long highestNumber = 1; long highestCount = 1; Map<Long, Integer> sequenceMap = new HashMap<Long, Integer>(); sequenceMap.put(Long.valueOf(1), Integer.valueOf(1)); List<Long> currentList = new ArrayList<Long>(); for (long i = 2; i < MAX; i++) { currentList.clear(); Long n = Long.valueOf(i); Integer count = null; while ((count = sequenceMap.get(n)) == null) { currentList.add(n); long nValue = n.longValue(); if ((nValue & 1) == 0) n = Long.valueOf(nValue / 2); else n = Long.valueOf(3 * nValue + 1); } int curCount = count.intValue(); for (int j = currentList.size() - 1; j >= 0; j--) sequenceMap.put(currentList.get(j), Integer.valueOf(++curCount)); if (curCount > highestCount) { highestCount = curCount; highestNumber = i; } } System.out.println("Method 3, number " + highestNumber + " has the longest sequence, with a length of " + highestCount); } return; } }
Generate a Python translation of this Tcl snippet without changing its computational steps.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
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")
Write the same algorithm in Python as shown in this Tcl implementation.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
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 following Tcl code into VB without altering its purpose.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
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 VB instead of Tcl, keeping it the same logically?
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
Private Function hailstone(ByVal n As Long) As Collection Dim s As New Collection s.Add CStr(n), CStr(n) i = 0 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If s.Add CStr(n), CStr(n) Loop Set hailstone = s End Function Private Function hailstone_count(ByVal n As Long) Dim count As Long: count = 1 Do While n <> 1 If n Mod 2 = 0 Then n = n / 2 Else n = 3 * n + 1 End If count = count + 1 Loop hailstone_count = count End Function Public Sub rosetta() Dim s As Collection, i As Long Set s = hailstone(27) Dim ls As Integer: ls = s.count Debug.Print "hailstone(27) = "; For i = 1 To 4 Debug.Print s(i); ", "; Next i Debug.Print "... "; For i = s.count - 4 To s.count - 1 Debug.Print s(i); ", "; Next i Debug.Print s(s.count) Debug.Print "length ="; ls Dim hmax As Long: hmax = 1 Dim imax As Long: imax = 1 Dim count As Integer For i = 2 To 100000# - 1 count = hailstone_count(i) If count > hmax Then hmax = count imax = i End If Next i Debug.Print "The longest hailstone sequence under 100,000 is"; imax; "with"; hmax; "elements." End Sub
Ensure the translated Go code behaves exactly like the original Tcl snippet.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
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 Tcl code snippet into Go without altering its behavior.
proc hailstone n { while 1 { lappend seq $n if {$n == 1} {return $seq} set n [expr {$n & 1 ? $n*3+1 : $n/2}] } } set h27 [hailstone 27] puts "h27 len=[llength $h27]" puts "head4 = [lrange $h27 0 3]" puts "tail4 = [lrange $h27 end-3 end]" set maxlen [set max 0] for {set i 1} {$i<100000} {incr i} { set l [llength [hailstone $i]] if {$l>$maxlen} {set maxlen $l;set max $i} } puts "max is $max, with length $maxlen"
package main import "fmt" func hs(n int, recycle []int) []int { s := append(recycle[:0], n) for n > 1 { if n&1 == 0 { n = n / 2 } else { n = 3*n + 1 } s = append(s, n) } return s } func main() { seq := hs(27, nil) fmt.Printf("hs(27): %d elements: [%d %d %d %d ... %d %d %d %d]\n", len(seq), seq[0], seq[1], seq[2], seq[3], seq[len(seq)-4], seq[len(seq)-3], seq[len(seq)-2], seq[len(seq)-1]) var maxN, maxLen int for n := 1; n < 100000; n++ { seq = hs(n, seq) if len(seq) > maxLen { maxN = n maxLen = len(seq) } } fmt.Printf("hs(%d): %d elements\n", maxN, maxLen) }
Write the same algorithm in PHP as shown in this Rust implementation.
fn hailstone(start : u32) -> Vec<u32> { let mut res = Vec::new(); let mut next = start; res.push(start); while next != 1 { next = if next % 2 == 0 { next/2 } else { 3*next+1 }; res.push(next); } res } fn main() { let test_num = 27; let test_hailseq = hailstone(test_num); println!("For {} number of elements is {} ", test_num, test_hailseq.len()); let fst_slice = test_hailseq[0..4].iter() .fold("".to_owned(), |acc, i| { acc + &*(i.to_string()).to_owned() + ", " }); let last_slice = test_hailseq[test_hailseq.len()-4..].iter() .fold("".to_owned(), |acc, i| { acc + &*(i.to_string()).to_owned() + ", " }); println!(" hailstone starting with {} ending with {} ", fst_slice, last_slice); let max_range = 100000; let mut max_len = 0; let mut max_seed = 0; for i_seed in 1..max_range { let i_len = hailstone(i_seed).len(); if i_len > max_len { max_len = i_len; max_seed = i_seed; } } println!("Longest sequence is {} element long for seed {}", max_len, max_seed); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Port the provided Rust code into PHP while preserving the original functionality.
fn hailstone(start : u32) -> Vec<u32> { let mut res = Vec::new(); let mut next = start; res.push(start); while next != 1 { next = if next % 2 == 0 { next/2 } else { 3*next+1 }; res.push(next); } res } fn main() { let test_num = 27; let test_hailseq = hailstone(test_num); println!("For {} number of elements is {} ", test_num, test_hailseq.len()); let fst_slice = test_hailseq[0..4].iter() .fold("".to_owned(), |acc, i| { acc + &*(i.to_string()).to_owned() + ", " }); let last_slice = test_hailseq[test_hailseq.len()-4..].iter() .fold("".to_owned(), |acc, i| { acc + &*(i.to_string()).to_owned() + ", " }); println!(" hailstone starting with {} ending with {} ", fst_slice, last_slice); let max_range = 100000; let mut max_len = 0; let mut max_seed = 0; for i_seed in 1..max_range { let i_len = hailstone(i_seed).len(); if i_len > max_len { max_len = i_len; max_seed = i_seed; } } println!("Longest sequence is {} element long for seed {}", max_len, max_seed); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Translate this program into PHP but keep the logic exactly as in Ada.
with Ada.Text_IO; use Ada.Text_IO; procedure hailstone is type int_arr is array(Positive range <>) of Integer; type int_arr_pt is access all int_arr; function hailstones(num:Integer; pt:int_arr_pt) return Integer is stones : Integer := 1; n : Integer := num; begin if pt /= null then pt(1) := num; end if; while (n/=1) loop stones := stones + 1; if n mod 2 = 0 then n := n/2; else n := (3*n)+1; end if; if pt /= null then pt(stones) := n; end if; end loop; return stones; end hailstones; nmax,stonemax,stones : Integer := 0; list : int_arr_pt; begin stones := hailstones(27,null); list := new int_arr(1..stones); stones := hailstones(27,list); put(" 27: "&Integer'Image(stones)); new_line; for n in 1..4 loop put(Integer'Image(list(n))); end loop; put(" .... "); for n in stones-3..stones loop put(Integer'Image(list(n))); end loop; new_line; for n in 1..100000 loop stones := hailstones(n,null); if stones>stonemax then nmax := n; stonemax := stones; end if; end loop; put_line(Integer'Image(nmax)&" max @ n= "&Integer'Image(stonemax)); end hailstone;
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Convert the following code from Ada to PHP, ensuring the logic remains intact.
with Ada.Text_IO; use Ada.Text_IO; procedure hailstone is type int_arr is array(Positive range <>) of Integer; type int_arr_pt is access all int_arr; function hailstones(num:Integer; pt:int_arr_pt) return Integer is stones : Integer := 1; n : Integer := num; begin if pt /= null then pt(1) := num; end if; while (n/=1) loop stones := stones + 1; if n mod 2 = 0 then n := n/2; else n := (3*n)+1; end if; if pt /= null then pt(stones) := n; end if; end loop; return stones; end hailstones; nmax,stonemax,stones : Integer := 0; list : int_arr_pt; begin stones := hailstones(27,null); list := new int_arr(1..stones); stones := hailstones(27,list); put(" 27: "&Integer'Image(stones)); new_line; for n in 1..4 loop put(Integer'Image(list(n))); end loop; put(" .... "); for n in stones-3..stones loop put(Integer'Image(list(n))); end loop; new_line; for n in 1..100000 loop stones := hailstones(n,null); if stones>stonemax then nmax := n; stonemax := stones; end if; end loop; put_line(Integer'Image(nmax)&" max @ n= "&Integer'Image(stonemax)); end hailstone;
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Maintain the same structure and functionality when rewriting this code in PHP.
hailstone: function [n][ ret: @[n] while [n>1][ if? 1 = and n 1 -> n: 1+3*n else -> n: n/2 'ret ++ n ] ret ] print "Hailstone sequence for 27:" print hailstone 27 maxHailstoneLength: 0 maxHailstone: 0 loop 2..1000 'x [ l: size hailstone x if l>maxHailstoneLength [ maxHailstoneLength: l maxHailstone: x ] ] print ["max hailstone sequence found (<100000): of length" maxHailstoneLength "for" maxHailstone]
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Convert this Arturo block to PHP, preserving its control flow and logic.
hailstone: function [n][ ret: @[n] while [n>1][ if? 1 = and n 1 -> n: 1+3*n else -> n: n/2 'ret ++ n ] ret ] print "Hailstone sequence for 27:" print hailstone 27 maxHailstoneLength: 0 maxHailstone: 0 loop 2..1000 'x [ l: size hailstone x if l>maxHailstoneLength [ maxHailstoneLength: l maxHailstone: x ] ] print ["max hailstone sequence found (<100000): of length" maxHailstoneLength "for" maxHailstone]
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Translate the given AutoHotKey code snippet into PHP without altering its behavior.
List := varNum := 7  While ( varNum > 1 ) List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) ) MsgBox % List Count := 1, List := varNum := 27  While ( varNum > 1 ) Count++ , List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) ) MsgBox % "Sequence:`n" List "`n`nCount: " Count MaxNum := Max := 0  TimesToLoop := 100000  Offset := 70000  Loop, %TimesToLoop% { If ( TimesToLoop < ( varNum := Index := A_Index+Offset ) ) Break text := "Processing...`n-------------------`n" text .= "Current starting number: " Index "`n" text .= "Current sequence count: " Count text .= "`n-------------------`n" text .= "Maximum starting number: " MaxNum "`n" text .= "Maximum sequence count: " Max " <<"  ToolTip, %text% Count := 1  While ( varNum > 1 ) Count++ , varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) If ( Count > Max ) Max := Count , MaxNum := Index  } ToolTip MsgBox % "Number: " MaxNum "`nCount: " Max
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Write the same algorithm in PHP as shown in this AutoHotKey implementation.
List := varNum := 7  While ( varNum > 1 ) List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) ) MsgBox % List Count := 1, List := varNum := 27  While ( varNum > 1 ) Count++ , List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) ) MsgBox % "Sequence:`n" List "`n`nCount: " Count MaxNum := Max := 0  TimesToLoop := 100000  Offset := 70000  Loop, %TimesToLoop% { If ( TimesToLoop < ( varNum := Index := A_Index+Offset ) ) Break text := "Processing...`n-------------------`n" text .= "Current starting number: " Index "`n" text .= "Current sequence count: " Count text .= "`n-------------------`n" text .= "Maximum starting number: " MaxNum "`n" text .= "Maximum sequence count: " Max " <<"  ToolTip, %text% Count := 1  While ( varNum > 1 ) Count++ , varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) If ( Count > Max ) Max := Count , MaxNum := Index  } ToolTip MsgBox % "Number: " MaxNum "`nCount: " Max
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Translate this program into PHP but keep the logic exactly as in AWK.
function hailstone(v, verbose) { n = 1; u = v; while (1) { if (verbose) printf " "u; if (u==1) return(n); n++; if (u%2 > 0 ) u = 3*u+1; else u = u/2; } } BEGIN { i = 27; printf("hailstone(%i) has %i elements\n",i,hailstone(i,1)); ix=0; m=0; for (i=1; i<100000; i++) { n = hailstone(i,0); if (m<n) { m=n; ix=i; } } printf("longest hailstone sequence is %i and has %i elements\n",ix,m); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Produce a functionally identical PHP code for the snippet given in AWK.
function hailstone(v, verbose) { n = 1; u = v; while (1) { if (verbose) printf " "u; if (u==1) return(n); n++; if (u%2 > 0 ) u = 3*u+1; else u = u/2; } } BEGIN { i = 27; printf("hailstone(%i) has %i elements\n",i,hailstone(i,1)); ix=0; m=0; for (i=1; i<100000; i++) { n = hailstone(i,0); if (m<n) { m=n; ix=i; } } printf("longest hailstone sequence is %i and has %i elements\n",ix,m); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Write the same code in PHP as shown below in BBC_Basic.
seqlen% = FNhailstone(27, TRUE) PRINT '"Sequence length = "; seqlen% maxlen% = 0 FOR number% = 2 TO 100000 seqlen% = FNhailstone(number%, FALSE) IF seqlen% > maxlen% THEN maxlen% = seqlen% maxnum% = number% ENDIF NEXT PRINT "The number with the longest hailstone sequence is " ; maxnum% PRINT "Its sequence length is " ; maxlen% END DEF FNhailstone(N%, S%) LOCAL L% IF S% THEN PRINT N%; WHILE N% <> 1 IF N% AND 1 THEN N% = 3 * N% + 1 ELSE N% DIV= 2 IF S% THEN PRINT N%; L% += 1 ENDWHILE = L% + 1
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Ensure the translated PHP code behaves exactly like the original BBC_Basic snippet.
seqlen% = FNhailstone(27, TRUE) PRINT '"Sequence length = "; seqlen% maxlen% = 0 FOR number% = 2 TO 100000 seqlen% = FNhailstone(number%, FALSE) IF seqlen% > maxlen% THEN maxlen% = seqlen% maxnum% = number% ENDIF NEXT PRINT "The number with the longest hailstone sequence is " ; maxnum% PRINT "Its sequence length is " ; maxlen% END DEF FNhailstone(N%, S%) LOCAL L% IF S% THEN PRINT N%; WHILE N% <> 1 IF N% AND 1 THEN N% = 3 * N% + 1 ELSE N% DIV= 2 IF S% THEN PRINT N%; L% += 1 ENDWHILE = L% + 1
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Translate this program into PHP but keep the logic exactly as in Clojure.
(defn hailstone-seq [n] {:pre [(pos? n)]} (lazy-seq (cond (= n 1) '(1) (even? n) (cons n (hailstone-seq (/ n 2))) :else (cons n (hailstone-seq (+ (* n 3) 1)))))) (let [hseq (hailstone-seq 27)] (-> hseq count (= 112) assert) (->> hseq (take 4) (= [27 82 41 124]) assert) (->> hseq (drop 108) (= [8 4 2 1]) assert)) (let [{max-i :num, max-len :len} (reduce #(max-key :len %1 %2) (for [i (range 1 100000)] {:num i, :len (count (hailstone-seq i))}))] (println "Maximum length" max-len "was found for hailstone(" max-i ")."))
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Maintain the same structure and functionality when rewriting this code in PHP.
(defn hailstone-seq [n] {:pre [(pos? n)]} (lazy-seq (cond (= n 1) '(1) (even? n) (cons n (hailstone-seq (/ n 2))) :else (cons n (hailstone-seq (+ (* n 3) 1)))))) (let [hseq (hailstone-seq 27)] (-> hseq count (= 112) assert) (->> hseq (take 4) (= [27 82 41 124]) assert) (->> hseq (drop 108) (= [8 4 2 1]) assert)) (let [{max-i :num, max-len :len} (reduce #(max-key :len %1 %2) (for [i (range 1 100000)] {:num i, :len (count (hailstone-seq i))}))] (println "Maximum length" max-len "was found for hailstone(" max-i ")."))
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Convert the following code from Common_Lisp to PHP, ensuring the logic remains intact.
(defun hailstone (len) (loop for x = len then (if (evenp x) (/ x 2) (+ 1 (* 3 x))) collect x until (= x 1))) (defun max-hailstone-start (limit mx curr) (declare (xargs :mode :program)) (if (zp limit) (mv mx curr) (let ((new-mx (len (hailstone limit)))) (if (> new-mx mx) (max-hailstone-start (1- limit) new-mx limit) (max-hailstone-start (1- limit) mx curr)))))
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Rewrite this program in PHP while keeping its functionality equivalent to the Common_Lisp version.
(defun hailstone (len) (loop for x = len then (if (evenp x) (/ x 2) (+ 1 (* 3 x))) collect x until (= x 1))) (defun max-hailstone-start (limit mx curr) (declare (xargs :mode :program)) (if (zp limit) (mv mx curr) (let ((new-mx (len (hailstone limit)))) (if (> new-mx mx) (max-hailstone-start (1- limit) new-mx limit) (max-hailstone-start (1- limit) mx curr)))))
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Write the same code in PHP as shown below in D.
import std.stdio, std.algorithm, std.range, std.typecons; auto hailstone(uint n) pure nothrow { auto result = [n]; while (n != 1) { n = (n & 1) ? (n * 3 + 1) : (n / 2); result ~= n; } return result; } void main() { enum M = 27; immutable h = M.hailstone; writeln("hailstone(", M, ")= ", h[0 .. 4], " ... " , h[$ - 4 .. $]); writeln("Length hailstone(", M, ")= ", h.length); enum N = 100_000; immutable p = iota(1, N) .map!(i => tuple(i.hailstone.length, i)) .reduce!max; writeln("Longest sequence in [1,", N, "]= ",p[1]," with len ",p[0]); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Generate an equivalent PHP version of this D code.
import std.stdio, std.algorithm, std.range, std.typecons; auto hailstone(uint n) pure nothrow { auto result = [n]; while (n != 1) { n = (n & 1) ? (n * 3 + 1) : (n / 2); result ~= n; } return result; } void main() { enum M = 27; immutable h = M.hailstone; writeln("hailstone(", M, ")= ", h[0 .. 4], " ... " , h[$ - 4 .. $]); writeln("Length hailstone(", M, ")= ", h.length); enum N = 100_000; immutable p = iota(1, N) .map!(i => tuple(i.hailstone.length, i)) .reduce!max; writeln("Longest sequence in [1,", N, "]= ",p[1]," with len ",p[0]); }
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Can you help me rewrite this code in PHP instead of Delphi, keeping it the same logically?
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Convert this Delphi block to PHP, preserving its control flow and logic.
program ShowHailstoneSequence; uses SysUtils, Generics.Collections; procedure GetHailstoneSequence(aStartingNumber: Integer; aHailstoneList: TList<Integer>); var n: Integer; begin aHailstoneList.Clear; aHailstoneList.Add(aStartingNumber); n := aStartingNumber; while n <> 1 do begin if Odd(n) then n := (3 * n) + 1 else n := n div 2; aHailstoneList.Add(n); end; end; var i: Integer; lList: TList<Integer>; lMaxSequence: Integer; lMaxLength: Integer; begin lList := TList<Integer>.Create; try GetHailstoneSequence(27, lList); Writeln(Format('27: %d elements', [lList.Count])); Writeln(Format('[%d,%d,%d,%d ... %d,%d,%d,%d]', [lList[0], lList[1], lList[2], lList[3], lList[lList.Count - 4], lList[lList.Count - 3], lList[lList.Count - 2], lList[lList.Count - 1]])); Writeln; lMaxSequence := 0; lMaxLength := 0; for i := 1 to 100000 do begin GetHailstoneSequence(i, lList); if lList.Count > lMaxLength then begin lMaxSequence := i; lMaxLength := lList.Count; end; end; Writeln(Format('Longest sequence under 100,000: %d with %d elements', [lMaxSequence, lMaxLength])); finally lList.Free; end; Readln; end.
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Port the provided Elixir code into PHP while preserving the original functionality.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Translate the given Elixir code snippet into PHP without altering its behavior.
defmodule Hailstone do require Integer def step(1) , do: 0 def step(n) when Integer.is_even(n), do: div(n,2) def step(n) , do: n*3 + 1 def sequence(n) do Stream.iterate(n, &step/1) |> Stream.take_while(&(&1 > 0)) |> Enum.to_list end def run do seq27 = sequence(27) len27 = length(seq27) repr = String.replace(inspect(seq27, limit: 4) <> inspect(Enum.drop(seq27,len27-4)), "][", ", ") IO.puts "Hailstone(27) has {len, start} = Enum.map(1..100_000, fn(n) -> {length(sequence(n)), n} end) |> Enum.max IO.puts "Longest sequence starting under 100000 begins with end end Hailstone.run
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Produce a language-to-language conversion: from Erlang to PHP, same semantics.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Port the provided Erlang code into PHP while preserving the original functionality.
-module(hailstone). -import(io). -export([main/0]). hailstone(1) -> [1]; hailstone(N) when N band 1 == 1 -> [N|hailstone(N * 3 + 1)]; hailstone(N) when N band 1 == 0 -> [N|hailstone(N div 2)]. max_length(Start, Stop) -> F = fun (N) -> {length(hailstone(N)), N} end, Lengths = lists:map(F, lists:seq(Start, Stop)), lists:max(Lengths). main() -> io:format("hailstone(4): ~w~n", [hailstone(4)]), Seq27 = hailstone(27), io:format("hailstone(27) length: ~B~n", [length(Seq27)]), io:format("hailstone(27) first 4: ~w~n", [lists:sublist(Seq27, 4)]), io:format("hailstone(27) last 4: ~w~n", [lists:nthtail(length(Seq27) - 4, Seq27)]), io:format("finding maximum hailstone(N) length for 1 <= N <= 100000..."), {Length, N} = max_length(1, 100000), io:format(" done.~nhailstone(~B) length: ~B~n", [N, Length]).
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Convert this F# snippet to PHP and keep its semantics consistent.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }
Generate a PHP translation of this F# snippet without changing its computational steps.
let rec hailstone n = seq { match n with | 1 -> yield 1 | n when n % 2 = 0 -> yield n; yield! hailstone (n / 2) | n -> yield n; yield! hailstone (n * 3 + 1) } let hailstone27 = hailstone 27 |> Array.ofSeq assert (Array.length hailstone27 = 112) assert (hailstone27.[..3] = [|27;82;41;124|]) assert (hailstone27.[108..] = [|8;4;2;1|]) let maxLen, maxI = Seq.max <| seq { for i in 1..99999 -> Seq.length (hailstone i), i} printfn "Maximum length %d was found for hailstone(%d)" maxLen maxI
function hailstone($n,$seq=array()){ $sequence = $seq; $sequence[] = $n; if($n == 1){ return $sequence; }else{ $n = ($n%2==0) ? $n/2 : (3*$n)+1; return hailstone($n, $sequence); } } $result = hailstone(27); echo count($result) . ' Elements.<br>'; echo 'Starting with : ' . implode(",",array_slice($result,0,4)) .' and ending with : ' . implode(",",array_slice($result,count($result)-4)) . '<br>'; $maxResult = array(0); for($i=1;$i<=100000;$i++){ $result = count(hailstone($i)); if($result > max($maxResult)){ $maxResult = array($i=>$result); } } foreach($maxResult as $key => $val){ echo 'Number < 100000 with longest Hailstone seq.: ' . $key . ' with length of ' . $val; }