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Write the same algorithm in C++ as shown in this D implementation.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Produce a functionally identical Java code for the snippet given in D.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Translate this program into Java but keep the logic exactly as in D.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Preserve the algorithm and functionality while converting the code from D to Python.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Produce a functionally identical Python code for the snippet given in D.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Write the same code in VB as shown below in D.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Convert this D snippet to VB and keep its semantics consistent.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Generate a Go translation of this D snippet without changing its computational steps.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Convert this D snippet to Go and keep its semantics consistent.
import std.functional, std.stdio, std.format, std.conv; ulong fusc(ulong n) => memoize!fuscImp(n); ulong fuscImp(ulong n) => ( n < 2 ) ? n : ( n % 2 == 0 ) ? memoize!fuscImp( n/2 ) : memoize!fuscImp( (n-1)/2 ) + memoize!fuscImp( (n+1)/2 ); void main() { const N_FIRST=61; const MAX_N_DIGITS=5; format!"First %d fusc numbers: "(N_FIRST).write; foreach( n; 0..N_FIRST ) n.fusc.format!"%d ".write; writeln; format!"\nFusc numbers with more digits than any previous (1 to %d digits):"(MAX_N_DIGITS).writeln; for(auto n=0, ndigits=0; ndigits<MAX_N_DIGITS; n++) if( n.fusc.to!string.length > ndigits ){ format!"fusc(%d)=%d"( n, n.fusc ).writeln; ndigits = n.fusc.to!string.length.to!int; } }
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Write a version of this F# function in C with identical behavior.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Port the provided F# code into C while preserving the original functionality.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Produce a language-to-language conversion: from F# to C#, same semantics.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Keep all operations the same but rewrite the snippet in C#.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Translate this program into C++ but keep the logic exactly as in F#.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Rewrite the snippet below in C++ so it works the same as the original F# code.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Transform the following F# implementation into Java, maintaining the same output and logic.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Write the same code in Java as shown below in F#.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Can you help me rewrite this code in Python instead of F#, keeping it the same logically?
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Generate an equivalent Python version of this F# code.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Please provide an equivalent version of this F# code in VB.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Translate the given F# code snippet into VB without altering its behavior.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Please provide an equivalent version of this F# code in Go.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Preserve the algorithm and functionality while converting the code from F# to Go.
let fG n=seq{for (n,g) in Seq.append n [1] |> Seq.pairwise do yield n; yield n+g} let fusc=seq{yield 0; yield! Seq.unfold(fun n->Some(n,fG n))(seq[1])|>Seq.concat}|> Seq.mapi(fun n g->(n,g))
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Translate this program into C but keep the logic exactly as in Factor.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Produce a functionally identical C code for the snippet given in Factor.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Please provide an equivalent version of this Factor code in C#.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Translate this program into C# but keep the logic exactly as in Factor.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Port the following code from Factor to C++ with equivalent syntax and logic.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Change the programming language of this snippet from Factor to C++ without modifying what it does.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Rewrite this program in Java while keeping its functionality equivalent to the Factor version.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Keep all operations the same but rewrite the snippet in Java.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Generate a Python translation of this Factor snippet without changing its computational steps.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Please provide an equivalent version of this Factor code in Python.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Maintain the same structure and functionality when rewriting this code in VB.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Write a version of this Factor function in VB with identical behavior.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Generate an equivalent Go version of this Factor code.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Convert this Factor snippet to Go and keep its semantics consistent.
USING: arrays assocs formatting io kernel make math math.parser math.ranges namespaces prettyprint sequences tools.memory.private ; IN: rosetta-code.fusc <PRIVATE : (fusc) ( n -- seq ) [ 2 ] dip [a,b) [ 0 , 1 , [ [ building get ] dip dup even? [ 2/ swap nth ] [ [ 1 - 2/ ] [ 1 + 2/ ] 2bi [ swap nth ] 2bi@ + ] if , ] each ] { } make ; : increases ( seq -- assoc ) [ 0 ] dip [ [ 2array 2dup first number>string length < [ [ 1 + ] [ , ] bi* ] [ drop ] if ] each-index ] { } make nip ; PRIVATE> : fusc ( n -- seq ) dup 3 < [ { 0 1 } swap head ] [ (fusc) ] if ; : fusc-demo ( -- ) "First 61 fusc numbers:" print 61 fusc [ pprint bl ] each nl nl "Fusc numbers with more digits than all previous ones:" print "Value Index\n====== =======" print 1,000,000 fusc increases [ [ commas ] bi@ "%-6s Β %-7s\n" printf ] assoc-each ; MAIN: fusc-demo
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Rewrite the snippet below in C so it works the same as the original Forth code.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Ensure the translated C code behaves exactly like the original Forth snippet.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Translate the given Forth code snippet into C# without altering its behavior.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Convert the following code from Forth to C#, ensuring the logic remains intact.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Ensure the translated C++ code behaves exactly like the original Forth snippet.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Keep all operations the same but rewrite the snippet in C++.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Rewrite the snippet below in Java so it works the same as the original Forth code.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Maintain the same structure and functionality when rewriting this code in Java.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Convert this Forth block to Python, preserving its control flow and logic.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Rewrite the snippet below in Python so it works the same as the original Forth code.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Translate this program into VB but keep the logic exactly as in Forth.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Convert this Forth snippet to VB and keep its semantics consistent.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Rewrite the snippet below in Go so it works the same as the original Forth code.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Port the following code from Forth to Go with equivalent syntax and logic.
: fusc dup dup 0= swap 1 = or if exit else dup 2 mod 0= if 2/ recurse else dup 1- 2/ recurse swap 1+ 2/ recurse + then then ; : cntDigits 0 begin 1+ swap 10 / swap over 0= until swap drop ; : fuscLen cr 1 swap 0 do i fusc cntDigits over > if 1+ ." fuscΒ : " i fusc . cr then loop ; : firstFusc dup ." First " . ." fuscΒ : " cr 0 do I fusc . loop cr ; 61 firstFusc 20 1000 1000 * * fuscLen bye
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Write the same algorithm in C as shown in this Groovy implementation.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Write the same algorithm in C as shown in this Groovy implementation.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Port the following code from Groovy to C# with equivalent syntax and logic.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Generate an equivalent C# version of this Groovy code.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Write the same algorithm in C++ as shown in this Groovy implementation.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Please provide an equivalent version of this Groovy code in C++.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Rewrite this program in Java while keeping its functionality equivalent to the Groovy version.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Port the provided Groovy code into Java while preserving the original functionality.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Produce a language-to-language conversion: from Groovy to Python, same semantics.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Convert this Groovy snippet to Python and keep its semantics consistent.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Write a version of this Groovy function in VB with identical behavior.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Translate the given Groovy code snippet into VB without altering its behavior.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Produce a language-to-language conversion: from Groovy to Go, same semantics.
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Can you help me rewrite this code in Go instead of Groovy, keeping it the same logically?
class FuscSequence { static void main(String[] args) { println("Show the first 61 fusc numbers (starting at zero) in a horizontal format") for (int n = 0; n < 61; n++) { printf("%,d ", fusc[n]) } println() println() println("Show the fusc number (and its index) whose length is greater than any previous fusc number length.") int start = 0 for (int i = 0; i <= 5; i++) { int val = i != 0 ? (int) Math.pow(10, i) : -1 for (int j = start; j < FUSC_MAX; j++) { if (fusc[j] > val) { printf("fusc[%,d] =Β %,d%n", j, fusc[j]) start = j break } } } } private static final int FUSC_MAX = 30000000 private static int[] fusc = new int[FUSC_MAX] static { fusc[0] = 0 fusc[1] = 1 for (int n = 2; n < FUSC_MAX; n++) { int n2 = (int) (n / 2) int n2m = (int) ((n - 1) / 2) int n2p = (int) ((n + 1) / 2) fusc[n] = n % 2 == 0 ? fusc[n2] : fusc[n2m] + fusc[n2p] } } }
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Ensure the translated C code behaves exactly like the original Haskell snippet.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Transform the following Haskell implementation into C, maintaining the same output and logic.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Generate an equivalent C# version of this Haskell code.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Write a version of this Haskell function in C# with identical behavior.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Write the same code in C++ as shown below in Haskell.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Preserve the algorithm and functionality while converting the code from Haskell to C++.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Write a version of this Haskell function in Java with identical behavior.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Change the programming language of this snippet from Haskell to Java without modifying what it does.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Convert the following code from Haskell to Python, ensuring the logic remains intact.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Generate an equivalent Python version of this Haskell code.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Rewrite the snippet below in VB so it works the same as the original Haskell code.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Write a version of this Haskell function in VB with identical behavior.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Rewrite this program in Go while keeping its functionality equivalent to the Haskell version.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Preserve the algorithm and functionality while converting the code from Haskell to Go.
fusc :: Int -> Int fusc i | 1 > i = 0 | otherwise = fst $ go (pred i) where go n | 0 == n = (1, 0) | even n = (x + y, y) | otherwise = (x, x + y) where (x, y) = go (div n 2) main :: IO () main = do putStrLn "First 61 terms:" print $ fusc <$> [0 .. 60] putStrLn "\n(Index, Value):" mapM_ print $ take 5 widths widths :: [(Int, Int)] widths = fmap (\(_, i, x) -> (i, x)) (iterate nxtWidth (2, 0, 0)) nxtWidth :: (Int, Int, Int) -> (Int, Int, Int) nxtWidth (w, i, v) = (succ w, j, x) where fi = (,) <*> fusc (j, x) = until ((w <=) . length . show . snd) (fi . succ . fst) (fi i)
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Port the following code from J to C with equivalent syntax and logic.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Transform the following J implementation into C, maintaining the same output and logic.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Generate a C# translation of this J snippet without changing its computational steps.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Rewrite this program in C# while keeping its functionality equivalent to the J version.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Convert this J block to C++, preserving its control flow and logic.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Rewrite the snippet below in C++ so it works the same as the original J code.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Port the provided J code into Java while preserving the original functionality.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Convert this J block to Java, preserving its control flow and logic.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }
Keep all operations the same but rewrite the snippet in Python.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Convert the following code from J to Python, ensuring the logic remains intact.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
from collections import deque from itertools import islice, count def fusc(): q = deque([1]) yield 0 yield 1 while True: x = q.popleft() q.append(x) yield x x += q[0] q.append(x) yield x def longest_fusc(): sofar = 0 for i, f in zip(count(), fusc()): if f >= sofar: yield(i, f) sofar = 10 * sofar or 10 print('First 61:') print(list(islice(fusc(), 61))) print('\nLength records:') for i, f in islice(longest_fusc(), 6): print(f'fusc({i}) = {f}')
Change the following J code into VB without altering its purpose.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Produce a functionally identical VB code for the snippet given in J.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
Module Module1 Dim n As Integer = 61, l As List(Of Integer) = {0, 1}.ToList Function fusc(n As Integer) As Integer If n < l.Count Then Return l(n) fusc = If((n And 1) = 0, l(n >> 1), l((n - 1) >> 1) + l((n + 1) >> 1)) l.Add(fusc) End Function Sub Main(args As String()) Dim lst As Boolean = True, w As Integer = -1, c As Integer = 0, fs As String = "{0,11:n0} {1,-9:n0}", res As String = "" Console.WriteLine("First {0} numbers in the fusc sequence:", n) For i As Integer = 0 To Integer.MaxValue Dim f As Integer = fusc(i) If lst Then If i < 61 Then Console.Write("{0} ", f) Else lst = False Console.WriteLine() Console.WriteLine("Points in the sequence where an item has more digits than any previous items:") Console.WriteLine(fs, "Index\", "/Value") : Console.WriteLine(res) : res = "" End If End If Dim t As Integer = f.ToString.Length If t > w Then w = t res &= If(res = "", "", vbLf) & String.Format(fs, i, f) If Not lst Then Console.WriteLine(res) : res = "" c += 1 : If c > 5 Then Exit For End If Next : l.Clear() End Sub End Module
Write a version of this J function in Go with identical behavior.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Translate the given J code snippet into Go without altering its behavior.
fusc_term =: ({~ -:@#)`([: +/ ({~ ([: -: _1 1 + #)))@.(2 | #) fusc =: (, fusc_term)@:]^:[ 0 1"_ 61 {. fusc 70 0 1 1 2 1 3 2 3 1 4 3 5 2 5 3 4 1 5 4 7 3 8 5 7 2 7 5 8 3 7 4 5 1 6 5 9 4 11 7 10 3 11 8 13 5 12 7 9 2 9 7 12 5 13 8 11 3 10 7 11 4 9!:17]2 2 FUSC =: fusc 99999 DIGITS =: ; ([: # 10&#.inv)&.> FUSC (;: 'index value') ,. <"0(,: {&A) DIGITS i. 1 2 3 4 β”Œβ”€β”€β”€β”€β”€β”¬β”€β”¬β”€β”€β”¬β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚indexβ”‚0β”‚37β”‚1173β”‚35499β”‚ β”œβ”€β”€β”€β”€β”€β”Όβ”€β”Όβ”€β”€β”Όβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€ β”‚valueβ”‚0β”‚11β”‚ 108β”‚ 1076β”‚ β””β”€β”€β”€β”€β”€β”΄β”€β”΄β”€β”€β”΄β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
package main import ( "fmt" "strconv" ) func fusc(n int) []int { if n <= 0 { return []int{} } if n == 1 { return []int{0} } res := make([]int, n) res[0] = 0 res[1] = 1 for i := 2; i < n; i++ { if i%2 == 0 { res[i] = res[i/2] } else { res[i] = res[(i-1)/2] + res[(i+1)/2] } } return res } func fuscMaxLen(n int) [][2]int { maxLen := -1 maxFusc := -1 f := fusc(n) var res [][2]int for i := 0; i < n; i++ { if f[i] <= maxFusc { continue } maxFusc = f[i] le := len(strconv.Itoa(f[i])) if le > maxLen { res = append(res, [2]int{i, f[i]}) maxLen = le } } return res } func commatize(n int) string { s := fmt.Sprintf("%d", n) if n < 0 { s = s[1:] } le := len(s) for i := le - 3; i >= 1; i -= 3 { s = s[0:i] + "," + s[i:] } if n >= 0 { return s } return "-" + s } func main() { fmt.Println("The first 61 fusc numbers are:") fmt.Println(fusc(61)) fmt.Println("\nThe fusc numbers whose length > any previous fusc number length are:") res := fuscMaxLen(20000000) for i := 0; i < len(res); i++ { fmt.Printf("%7s (index %10s)\n", commatize(res[i][1]), commatize(res[i][0])) } }
Change the following Julia code into C without altering its purpose.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Write a version of this Julia function in C with identical behavior.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
#include<limits.h> #include<stdio.h> int fusc(int n){ if(n==0||n==1) return n; else if(n%2==0) return fusc(n/2); else return fusc((n-1)/2) + fusc((n+1)/2); } int numLen(int n){ int sum = 1; while(n>9){ n = n/10; sum++; } return sum; } void printLargeFuscs(int limit){ int i,f,len,maxLen = 1; printf("\n\nPrinting all largest Fusc numbers upto %d \nIndex-------Value",limit); for(i=0;i<=limit;i++){ f = fusc(i); len = numLen(f); if(len>maxLen){ maxLen = len; printf("\n%5d%12d",i,f); } } } int main() { int i; printf("Index-------Value"); for(i=0;i<61;i++) printf("\n%5d%12d",i,fusc(i)); printLargeFuscs(INT_MAX); return 0; }
Change the following Julia code into C# without altering its purpose.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Port the provided Julia code into C# while preserving the original functionality.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
using System; using System.Collections.Generic; static class program { static int n = 61; static List<int> l = new List<int>() { 0, 1 }; static int fusc(int n) { if (n < l.Count) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.Add(f); return f; } static void Main(string[] args) { bool lst = true; int w = -1, c = 0, t; string fs = "{0,11:n0} {1,-9:n0}", res = ""; Console.WriteLine("First {0} numbers in the fusc sequence:", n); for (int i = 0; i < int.MaxValue; i++) { int f = fusc(i); if (lst) { if (i < 61) Console.Write("{0} ", f); else { lst = false; Console.WriteLine(); Console.WriteLine("Points in the sequence where an item has more digits than any previous items:"); Console.WriteLine(fs, "Index\\", "/Value"); Console.WriteLine(res); res = ""; } } if ((t = f.ToString().Length) > w) { w = t; res += (res == "" ? "" : "\n") + string.Format(fs, i, f); if (!lst) { Console.WriteLine(res); res = ""; } if (++c > 5) break; } } l.Clear(); } }
Convert the following code from Julia to C++, ensuring the logic remains intact.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Change the programming language of this snippet from Julia to C++ without modifying what it does.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
#include <iomanip> #include <iostream> #include <limits> #include <sstream> #include <vector> const int n = 61; std::vector<int> l{ 0, 1 }; int fusc(int n) { if (n < l.size()) return l[n]; int f = (n & 1) == 0 ? l[n >> 1] : l[(n - 1) >> 1] + l[(n + 1) >> 1]; l.push_back(f); return f; } int main() { bool lst = true; int w = -1; int c = 0; int t; std::string res; std::cout << "First " << n << " numbers in the fusc sequence:\n"; for (int i = 0; i < INT32_MAX; i++) { int f = fusc(i); if (lst) { if (i < 61) { std::cout << f << ' '; } else { lst = false; std::cout << "\nPoints in the sequence where an item has more digits than any previous items:\n"; std::cout << std::setw(11) << "Index\\" << " " << std::left << std::setw(9) << "/Value\n"; std::cout << res << '\n'; res = ""; } } std::stringstream ss; ss << f; t = ss.str().length(); ss.str(""); ss.clear(); if (t > w) { w = t; res += (res == "" ? "" : "\n"); ss << std::setw(11) << i << " " << std::left << std::setw(9) << f; res += ss.str(); if (!lst) { std::cout << res << '\n'; res = ""; } if (++c > 5) { break; } } } return 0; }
Write the same code in Java as shown below in Julia.
using Memoize, Formatting @memoize function sternbrocot(n) if n < 2 return n elseif iseven(n) return sternbrocot(div(n, 2)) else m = div(n - 1, 2) return sternbrocot(m) + sternbrocot(m + 1) end end function fusclengths(N=100000000) println("sequence numberΒ : fusc value") maxlen = 0 for i in 0:N x = sternbrocot(i) if (len = length(string(x))) > maxlen println(lpad(format(i, commas=true), 15), "Β : ", format(x, commas=true)) maxlen = len end end end println("The first 61 fusc numbers are: ", [sternbrocot(x) for x in 0:60]) fusclengths()
public class FuscSequence { public static void main(String[] args) { System.out.println("Show the first 61 fusc numbers (starting at zero) in a horizontal format"); for ( int n = 0 ; n < 61 ; n++ ) { System.out.printf("%,d ", fusc[n]); } System.out.printf("%n%nShow the fusc number (and its index) whose length is greater than any previous fusc number length.%n"); int start = 0; for (int i = 0 ; i <= 5 ; i++ ) { int val = i != 0 ? (int) Math.pow(10, i) : -1; for ( int j = start ; j < FUSC_MAX ; j++ ) { if ( fusc[j] > val ) { System.out.printf("fusc[%,d] =Β %,d%n", j, fusc[j] ); start = j; break; } } } } private static final int FUSC_MAX = 30000000; private static int[] fusc = new int[FUSC_MAX]; static { fusc[0] = 0; fusc[1] = 1; for ( int n = 2 ; n < FUSC_MAX ; n++ ) { fusc[n] = (n % 2 == 0 ? fusc[n/2] : fusc[(n-1)/2] + fusc[(n+1)/2]); } } }