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Produce a language-to-language conversion: from C++ to Rust, same semantics.
#include <iostream> #include <fstream> #include <string> #include <vector> std::ostream& operator<<(std::ostream& out, const std::string s) { return out << s.c_str(); } struct gecos_t { std::string fullname, office, extension, homephone, email; friend std::ostream& operator<<(std::ostream&, const gecos_t&); }; std::ostream& operator<<(std::ostream& out, const gecos_t& g) { return out << g.fullname << ',' << g.office << ',' << g.extension << ',' << g.homephone << ',' << g.email; } struct passwd_t { std::string account, password; int uid, gid; gecos_t gecos; std::string directory, shell; passwd_t(const std::string& a, const std::string& p, int u, int g, const gecos_t& ge, const std::string& d, const std::string& s) : account(a), password(p), uid(u), gid(g), gecos(ge), directory(d), shell(s) { } friend std::ostream& operator<<(std::ostream&, const passwd_t&); }; std::ostream& operator<<(std::ostream& out, const passwd_t& p) { return out << p.account << ':' << p.password << ':' << p.uid << ':' << p.gid << ':' << p.gecos << ':' << p.directory << ':' << p.shell; } std::vector<passwd_t> passwd_list{ { "jsmith", "x", 1001, 1000, {"Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org"}, "/home/jsmith", "/bin/bash" }, { "jdoe", "x", 1002, 1000, {"Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org"}, "/home/jdoe", "/bin/bash" } }; int main() { std::ofstream out_fd("passwd.txt"); for (size_t i = 0; i < passwd_list.size(); ++i) { out_fd << passwd_list[i] << '\n'; } out_fd.close(); out_fd.open("passwd.txt", std::ios::app); out_fd << passwd_t("xyz", "x", 1003, 1000, { "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org" }, "/home/xyz", "/bin/bash") << '\n'; out_fd.close(); std::ifstream in_fd("passwd.txt"); std::string line, temp; while (std::getline(in_fd, temp)) { if (!temp.empty()) { line = temp; } } if (line.substr(0, 4) == "xyz:") { std::cout << "Appended record: " << line << '\n'; } else { std::cout << "Failed to find the expected record appended.\n"; } return 0; }
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
Please provide an equivalent version of this C# code in Rust.
using System; using System.IO; namespace AppendPwdRosetta { class PasswordRecord { public string account, password, fullname, office, extension, homephone, email, directory, shell; public int UID, GID; public PasswordRecord(string account, string password, int UID, int GID, string fullname, string office, string extension, string homephone, string email, string directory, string shell) { this.account = account; this.password = password; this.UID = UID; this.GID = GID; this.fullname = fullname; this.office = office; this.extension = extension; this.homephone = homephone; this.email = email; this.directory = directory; this.shell = shell; } public override string ToString() { var gecos = string.Join(",", new string[] { fullname, office, extension, homephone, email }); return string.Join(":", new string[] { account, password, UID.ToString(), GID.ToString(), gecos, directory, shell }); } } class Program { static void Main(string[] args) { var jsmith = new PasswordRecord("jsmith", "x", 1001, 1000, "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", "/home/jsmith", "/bin/bash"); var jdoe = new PasswordRecord("jdoe", "x", 1002, 1000, "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", "/home/jdoe", "/bin/bash"); var xyz = new PasswordRecord("xyz", "x", 1003, 1000, "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", "/home/xyz", "/bin/bash"); File.WriteAllLines("passwd.txt", new string[] { jsmith.ToString(), jdoe.ToString() }); File.AppendAllText("passwd.txt", xyz.ToString()); string[] lines = File.ReadAllLines("passwd.txt"); Console.WriteLine("Appended record: " + lines[2]); } } }
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
Can you help me rewrite this code in Rust instead of Java, keeping it the same logically?
import static java.util.Objects.requireNonNull; import java.io.IOException; import java.nio.file.Files; import java.nio.file.Path; import java.nio.file.Paths; import java.nio.file.StandardOpenOption; import java.util.Arrays; import java.util.Collections; import java.util.List; import java.util.stream.Collectors; import java.util.stream.Stream; public class RecordAppender { static class Record { private final String account; private final String password; private final int uid; private final int gid; private final List<String> gecos; private final String directory; private final String shell; public Record(String account, String password, int uid, int gid, List<String> gecos, String directory, String shell) { this.account = requireNonNull(account); this.password = requireNonNull(password); this.uid = uid; this.gid = gid; this.gecos = requireNonNull(gecos); this.directory = requireNonNull(directory); this.shell = requireNonNull(shell); } @Override public String toString() { return account + ':' + password + ':' + uid + ':' + gid + ':' + String.join(",", gecos) + ':' + directory + ':' + shell; } public static Record parse(String text) { String[] tokens = text.split(":"); return new Record( tokens[0], tokens[1], Integer.parseInt(tokens[2]), Integer.parseInt(tokens[3]), Arrays.asList(tokens[4].split(",")), tokens[5], tokens[6]); } } public static void main(String[] args) throws IOException { List<String> rawData = Arrays.asList( "jsmith:x:1001:1000:Joe Smith,Room 1007,(234)555-8917,(234)555-0077,[email protected]:/home/jsmith:/bin/bash", "jdoe:x:1002:1000:Jane Doe,Room 1004,(234)555-8914,(234)555-0044,[email protected]:/home/jdoe:/bin/bash", "xyz:x:1003:1000:X Yz,Room 1003,(234)555-8913,(234)555-0033,[email protected]:/home/xyz:/bin/bash" ); List<Record> records = rawData.stream().map(Record::parse).collect(Collectors.toList()); Path tmp = Paths.get("_rosetta", ".passwd"); Files.createDirectories(tmp.getParent()); Files.write(tmp, (Iterable<String>) records.stream().limit(2).map(Record::toString)::iterator); Files.write(tmp, Collections.singletonList(records.get(2).toString()), StandardOpenOption.APPEND); try (Stream<String> lines = Files.lines(tmp)) { lines.map(Record::parse).forEach(System.out::println); } } }
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
Generate an equivalent Python version of this Rust code.
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
passwd_list=[ dict(account='jsmith', password='x', UID=1001, GID=1000, GECOS=dict(fullname='Joe Smith', office='Room 1007', extension='(234)555-8917', homephone='(234)555-0077', email='jsmith@rosettacode.org'), directory='/home/jsmith', shell='/bin/bash'), dict(account='jdoe', password='x', UID=1002, GID=1000, GECOS=dict(fullname='Jane Doe', office='Room 1004', extension='(234)555-8914', homephone='(234)555-0044', email='jdoe@rosettacode.org'), directory='/home/jdoe', shell='/bin/bash') ] passwd_fields="account password UID GID GECOS directory shell".split() GECOS_fields="fullname office extension homephone email".split() def passwd_text_repr(passwd_rec): passwd_rec["GECOS"]=",".join([ passwd_rec["GECOS"][field] for field in GECOS_fields]) for field in passwd_rec: if not isinstance(passwd_rec[field], str): passwd_rec[field]=`passwd_rec[field]` return ":".join([ passwd_rec[field] for field in passwd_fields ]) passwd_text=open("passwd.txt","w") for passwd_rec in passwd_list: print >> passwd_text,passwd_text_repr(passwd_rec) passwd_text.close() passwd_text=open("passwd.txt","a+") new_rec=dict(account='xyz', password='x', UID=1003, GID=1000, GECOS=dict(fullname='X Yz', office='Room 1003', extension='(234)555-8913', homephone='(234)555-0033', email='xyz@rosettacode.org'), directory='/home/xyz', shell='/bin/bash') print >> passwd_text, passwd_text_repr(new_rec) passwd_text.close() passwd_list=list(open("passwd.txt","r")) if "xyz" in passwd_list[-1]: print "Appended record:",passwd_list[-1][:-1]
Produce a language-to-language conversion: from Rust to VB, same semantics.
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
$Include "Rapidq.inc" dim file as qfilestream dim filename as string dim LogRec as string filename = "C:\Logfile2.txt" file.open(filename, fmCreate) file.writeline "jsmith:x:1001:1000:Joe Smith,Room 1007,(234)555-8917,(234)555-0077,jsmith@rosettacode.org:/home/jsmith:/bin/bash" file.writeline "jdoe:x:1002:1000:Jane Doe,Room 1004,(234)555-8914,(234)555-0044,jdoe@rosettacode.org:/home/jsmith:/bin/bash" file.close file.open(filename, fmOpenWrite) file.position = File.size file.writeline "xyz:x:1003:1000:X Yz,Room 1003,(234)555-8913,(234)555-0033,xyz@rosettacode.org:/home/xyz:/bin/bash" file.close file.open (filename, fmOpenRead) while not file.EOF LogRec = File.Readline wend file.close showmessage "Appended record: " + LogRec
Change the following Go code into Rust without altering its purpose.
package main import ( "bytes" "fmt" "io" "io/ioutil" "os" ) type pw struct { account, password string uid, gid uint gecos directory, shell string } type gecos struct { fullname, office, extension, homephone, email string } func (p *pw) encode(w io.Writer) (int, error) { return fmt.Fprintf(w, "%s:%s:%d:%d:%s,%s,%s,%s,%s:%s:%s\n", p.account, p.password, p.uid, p.gid, p.fullname, p.office, p.extension, p.homephone, p.email, p.directory, p.shell) } var p2 = []pw{ {"jsmith", "x", 1001, 1000, gecos{"Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org"}, "/home/jsmith", "/bin/bash"}, {"jdoe", "x", 1002, 1000, gecos{"Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org"}, "/home/jsmith", "/bin/bash"}, } var pa = pw{"xyz", "x", 1003, 1000, gecos{"X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org"}, "/home/xyz", "/bin/bash"} var expected = "xyz:x:1003:1000:X Yz,Room 1003,(234)555-8913," + "(234)555-0033,xyz@rosettacode.org:/home/xyz:/bin/bash" const pfn = "mythical" func main() { writeTwo() appendOneMore() checkResult() } func writeTwo() { f, err := os.Create(pfn) if err != nil { fmt.Println(err) return } defer func() { if cErr := f.Close(); cErr != nil && err == nil { fmt.Println(cErr) } }() for _, p := range p2 { if _, err = p.encode(f); err != nil { fmt.Println(err) return } } } func appendOneMore() { f, err := os.OpenFile(pfn, os.O_RDWR|os.O_APPEND, 0) if err != nil { fmt.Println(err) return } if _, err := pa.encode(f); err != nil { fmt.Println(err) } if cErr := f.Close(); cErr != nil && err == nil { fmt.Println(cErr) } } func checkResult() { b, err := ioutil.ReadFile(pfn) if err != nil { fmt.Println(err) return } if string(bytes.Split(b, []byte{'\n'})[2]) == expected { fmt.Println("append okay") } else { fmt.Println("it didn't work") } }
use std::fs::File; use std::fs::OpenOptions; use std::io::BufRead; use std::io::BufReader; use std::io::BufWriter; use std::io::Result; use std::io::Write; use std::path::Path; #[derive(Eq, PartialEq, Debug)] pub struct PasswordRecord { pub account: String, pub password: String, pub uid: u64, pub gid: u64, pub gecos: Vec<String>, pub directory: String, pub shell: String, } impl PasswordRecord { pub fn new( account: &str, password: &str, uid: u64, gid: u64, gecos: Vec<&str>, directory: &str, shell: &str, ) -> PasswordRecord { PasswordRecord { account: account.to_string(), password: password.to_string(), uid, gid, gecos: gecos.iter().map(|s| s.to_string()).collect(), directory: directory.to_string(), shell: shell.to_string(), } } pub fn to_line(&self) -> String { let gecos = self.gecos.join(","); format!( "{}:{}:{}:{}:{}:{}:{}", self.account, self.password, self.uid, self.gid, gecos, self.directory, self.shell ) } pub fn from_line(line: &str) -> PasswordRecord { let sp: Vec<&str> = line.split(":").collect(); if sp.len() < 7 { panic!("Less than 7 fields found"); } else { let uid = sp[2].parse().expect("Cannot parse uid"); let gid = sp[3].parse().expect("Cannot parse gid"); let gecos = sp[4].split(",").collect(); PasswordRecord::new(sp[0], sp[1], uid, gid, gecos, sp[5], sp[6]) } } } pub fn read_password_file(file_name: &str) -> Result<Vec<PasswordRecord>> { let p = Path::new(file_name); if !p.exists() { Ok(vec![]) } else { let f = OpenOptions::new().read(true).open(p)?; Ok(BufReader::new(&f) .lines() .map(|l| PasswordRecord::from_line(&l.unwrap())) .collect()) } } pub fn overwrite_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .write(true) .open(file_name)?; write_records(f, recs) } pub fn append_password_file(file_name: &str, recs: &Vec<PasswordRecord>) -> Result<()> { let f = OpenOptions::new() .create(true) .append(true) .open(file_name)?; write_records(f, recs) } fn write_records(f: File, recs: &Vec<PasswordRecord>) -> Result<()> { let mut writer = BufWriter::new(f); for rec in recs { write!(writer, "{}\n", rec.to_line())?; } Ok(()) } fn main(){ let recs1 = vec![ PasswordRecord::new( "jsmith", "x", 1001, 1000, vec![ "Joe Smith", "Room 1007", "(234)555-8917", "(234)555-0077", "jsmith@rosettacode.org", ], "/home/jsmith", "/bin/bash", ), PasswordRecord::new( "jdoe", "x", 1002, 1000, vec![ "Jane Doe", "Room 1004", "(234)555-8914", "(234)555-0044", "jdoe@rosettacode.org", ], "/home/jdoe", "/bin/bash", ), ]; overwrite_password_file("passwd", &recs1).expect("cannot write file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!("Original file:"); for r in recs2 { println!("{}",r.to_line()); } let append0 = vec![PasswordRecord::new( "xyz", "x", 1003, 1000, vec![ "X Yz", "Room 1003", "(234)555-8913", "(234)555-0033", "xyz@rosettacode.org", ], "/home/xyz", "/bin/bash", )]; append_password_file("passwd", &append0).expect("cannot append to file"); let recs2 = read_password_file("passwd").expect("cannot read file"); println!(""); println!("Appended file:"); for r in recs2 { println!("{}",r.to_line()); } }
Rewrite the snippet below in C# so it works the same as the original Ada code.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Translate this program into C but keep the logic exactly as in Ada.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Translate the given Ada code snippet into C++ without altering its behavior.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Write a version of this Ada function in Go with identical behavior.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Convert this Ada block to Java, preserving its control flow and logic.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Maintain the same structure and functionality when rewriting this code in Python.
with Ada.Text_IO, Generic_Root; use Generic_Root; procedure Multiplicative_Root is procedure Compute is new Compute_Root("*"); package TIO renames Ada.Text_IO; package NIO is new TIO.Integer_IO(Number); procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is Current: Number := 0; Root, Pers: Number; begin for I in 1 .. How_Many loop loop Compute(Current, Root, Pers); exit when Root = Target_Root; Current := Current + 1; end loop; NIO.Put(Current, Width => 6); if I < How_Many then TIO.Put(","); end if; Current := Current + 1; end loop; end Print_Numbers; Inputs: Number_Array := (123321, 7739, 893, 899998); Root, Pers: Number; begin TIO.Put_Line(" Number MDR MP"); for I in Inputs'Range loop Compute(Inputs(I), Root, Pers); NIO.Put(Inputs(I), Width => 8); NIO.Put(Root, Width => 6); NIO.Put(Pers, Width => 6); TIO.New_Line; end loop; TIO.New_Line; TIO.Put_Line(" MDR first_five_numbers_with_that_MDR"); for I in 0 .. 9 loop TIO.Put(" " & Integer'Image(I) & " "); Print_Numbers(Target_Root => Number(I), How_Many => 5); TIO.New_Line; end loop; end Multiplicative_Root;
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Port the following code from Arturo to C with equivalent syntax and logic.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Rewrite the snippet below in C# so it works the same as the original Arturo code.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Maintain the same structure and functionality when rewriting this code in C++.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Change the programming language of this snippet from Arturo to Java without modifying what it does.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Produce a language-to-language conversion: from Arturo to Python, same semantics.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Write the same algorithm in Go as shown in this Arturo implementation.
Red ["Multiplicative digital root"] mdr: function [ "Returns a block containing the mdr and persistence of an integer" n [integer!] ][ persistence: 0 while [n > 10][ product: 1 m: n while [m > 0][ product: m % 10 * product m: to-integer m / 10 ] persistence: persistence + 1 n: product ] reduce [n persistence] ] foreach n [123321 7739 893 899998][ result: mdr n print [pad n 6 "has multiplicative persistence" result/2 "and MDR" result/1] ] print [newline "First five numbers with MDR of"] repeat i 10 [ prin rejoin [i - 1 ": "] hits: n: 0 while [hits < 5][ if i - 1 = first mdr n [ prin pad n 5 hits: hits + 1 ] n: n + 1 ] prin newline ]
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Ensure the translated C code behaves exactly like the original AWK snippet.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Rewrite this program in C# while keeping its functionality equivalent to the AWK version.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Convert this AWK block to C++, preserving its control flow and logic.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Maintain the same structure and functionality when rewriting this code in Java.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Convert this AWK snippet to Python and keep its semantics consistent.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Generate an equivalent Go version of this AWK code.
BEGIN { printMdrAndMp( 123321 ); printMdrAndMp( 7739 ); printMdrAndMp( 893 ); printMdrAndMp( 899998 ); tabulateMdr( 5 ); } function printMdrAndMp( n ) { calculateMdrAndMp( n ); printf( "%6d: MDR: %d, MP: %2d\n", n, MDR, MP ); } function calculateMdrAndMp( n, mdrStr, digit ) { MP = 0; MDR = ( n < 0 ? -n : n ); while( MDR > 9 ) { MP ++; mdrStr = "" MDR; MDR = 1; for( digit = 1; digit <= length( mdrStr ); digit ++ ) { MDR *= ( substr( mdrStr, digit, 1 ) * 1 ); } } } function tabulateMdr( n, rqdValues, valueCount, value, pos ) { rqdValues = n * 10; valueCount = 0; for( value = 0; valueCount < rqdValues; value ++ ) { calculateMdrAndMp( value ); if( mdrCount[ MDR ] < n ) { valueCount ++; mdrCount[ MDR ] ++; mdrValues[ MDR ":" mdrCount[ MDR ] ] = value; } } printf( "MDR: [n0..n%d]\n", n - 1 ); printf( "=== ========\n" ); for( pos = 0; pos < 10; pos ++ ) { printf( "%3d:", pos ); separator = " ["; for( value = 1; value <= n; value ++ ) { printf( "%s%d", separator, mdrValues[ pos ":" value ] ); separator = ", " } printf( "]\n" ); } }
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Convert the following code from Common_Lisp to C, ensuring the logic remains intact.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Translate this program into C# but keep the logic exactly as in Common_Lisp.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Transform the following Common_Lisp implementation into C++, maintaining the same output and logic.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Ensure the translated Java code behaves exactly like the original Common_Lisp snippet.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Maintain the same structure and functionality when rewriting this code in Python.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Produce a language-to-language conversion: from Common_Lisp to Go, same semantics.
(defun mdr/p (n) "Return a list with MDR and MP of n" (if (< n 10) (list n 0) (mdr/p-aux n 1 1))) (defun mdr/p-aux (n a c) (cond ((and (zerop n) (< a 10)) (list a c)) ((zerop n) (mdr/p-aux a 1 (+ c 1))) (t (mdr/p-aux (floor n 10) (* (rem n 10) a) c)))) (defun first-n-number-for-each-root (n &optional (r 0) (lst nil) (c 0)) "Return the first m number with MDR = 0 to 9" (cond ((and (= (length lst) n) (= r 9)) (format t "~3@a: ~a~%" r (reverse lst))) ((= (length lst) n) (format t "~3@a: ~a~%" r (reverse lst)) (first-n-number-for-each-root n (+ r 1) nil 0)) ((= (first (mdr/p c)) r) (first-n-number-for-each-root n r (cons c lst) (+ c 1))) (t (first-n-number-for-each-root n r lst (+ c 1))))) (defun start () (format t "Number: MDR MD~%") (loop for el in '(123321 7739 893 899998) do (format t "~6@a: ~{~3@a ~}~%" el (mdr/p el))) (format t "~%MDR: [n0..n4]~%") (first-n-number-for-each-root 5))
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Change the following D code into C without altering its purpose.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Change the following D code into C# without altering its purpose.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Keep all operations the same but rewrite the snippet in C++.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Ensure the translated Java code behaves exactly like the original D snippet.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Change the following D code into Python without altering its purpose.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Please provide an equivalent version of this D code in Go.
import std.stdio, std.algorithm, std.typecons, std.range, std.conv; auto mdRoot(in int n) pure { auto mdr = [n]; while (mdr.back > 9) mdr ~= reduce!q{a * b}(1, mdr.back.text.map!(d => d - '0')); return tuple(mdr.length - 1, mdr.back); } void main() { "Number: (MP, MDR)\n====== =========".writeln; foreach (immutable n; [123321, 7739, 893, 899998]) writefln("%6d: (%s, %s)", n, n.mdRoot[]); auto table = (int[]).init.repeat.enumerate!int.take(10).assocArray; auto n = 0; while (table.byValue.map!walkLength.reduce!min < 5) { table[n.mdRoot[1]] ~= n; n++; } "\nMP: [n0..n4]\n== ========".writeln; foreach (const mp; table.byKey.array.sort()) writefln("%2d: %s", mp, table[mp].take(5)); }
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Write the same code in C as shown below in Elixir.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Port the provided Elixir code into C# while preserving the original functionality.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Please provide an equivalent version of this Elixir code in C++.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Change the following Elixir code into Java without altering its purpose.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Produce a language-to-language conversion: from Elixir to Python, same semantics.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Preserve the algorithm and functionality while converting the code from Elixir to Go.
defmodule Digital do def mdroot(n), do: mdroot(n, 0) defp mdroot(n, persist) when n < 10, do: {n, persist} defp mdroot(n, persist), do: mdroot(product(n, 1), persist+1) defp product(0, prod), do: prod defp product(n, prod), do: product(div(n, 10), prod*rem(n, 10)) def task1(data) do IO.puts "Number: MDR MP\n====== === ==" Enum.each(data, fn n -> {mdr, persist} = mdroot(n) :io.format "~6w: ~w ~2w~n", [n, mdr, persist] end) end def task2(m \\ 5) do IO.puts "\nMDR: [n0..n map = add_map(0, m, Map.new) Enum.each(0..9, fn i -> first = map[i] |> Enum.reverse |> Enum.take(m) IO.puts " end) end defp add_map(n, m, map) do {mdr, _persist} = mdroot(n) new_map = Map.update(map, mdr, [n], fn vals -> [n | vals] end) min_len = Map.values(new_map) |> Enum.map(&length(&1)) |> Enum.min if min_len < m, do: add_map(n+1, m, new_map), else: new_map end end Digital.task1([123321, 7739, 893, 899998]) Digital.task2
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Translate this program into C but keep the logic exactly as in F#.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Rewrite the snippet below in C# so it works the same as the original F# code.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Write the same code in C++ as shown below in F#.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Maintain the same structure and functionality when rewriting this code in Java.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Write the same code in Python as shown below in F#.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Please provide an equivalent version of this F# code in Go.
let rec fG n g=if n=0 then g else fG(n/10)(g*(n%10)) let mdr n=let rec mdr n g=if n<10 then (n,g) else mdr(fG n 1)(g+1) in mdr n 0 [123321; 7739; 893; 899998] |> List.iter(fun i->let n,g=mdr i in printfn "%d has mdr=%d with persitance %d" i n g) let fN g=Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)g))|>Seq.take 5 seq{0..9}|>Seq.iter(fun n->printf "First 5 numbers with mdr %d -> " n; Seq.initInfinite id|>Seq.filter((mdr>>fst>>(=)n))|>Seq.take 5|>Seq.iter(printf "%d ");printfn "")
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Write the same code in C as shown below in Factor.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Convert this Factor snippet to C# and keep its semantics consistent.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Transform the following Factor implementation into C++, maintaining the same output and logic.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Rewrite this program in Java while keeping its functionality equivalent to the Factor version.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Rewrite the snippet below in Python so it works the same as the original Factor code.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Translate the given Factor code snippet into Go without altering its behavior.
USING: arrays formatting fry io kernel lists lists.lazy math math.text.utils prettyprint sequences ; IN: rosetta-code.multiplicative-digital-root : mdr ( n -- {persistence,root} ) 0 swap [ 1 digit-groups dup length 1 > ] [ product [ 1 + ] dip ] while dup empty? [ drop { 0 } ] when first 2array ; : print-mdr ( n -- ) dup [ 1array ] dip mdr append "%-12d has multiplicative persistence %d and MDR %d.\n" vprintf ; : first5 ( n -- seq ) 0 lfrom swap '[ mdr second _ = ] lfilter 5 swap ltake list>array ; : print-first5 ( i n -- ) "%-5d" printf bl first5 [ "%-5d " printf ] each nl ; : header ( -- ) "MDR | First five numbers with that MDR" print "--------------------------------------" print ; : first5-table ( -- ) header 10 iota [ print-first5 ] each-index ; : main ( -- ) { 123321 7739 893 899998 } [ print-mdr ] each nl first5-table ; MAIN: main
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Convert this Fortran block to C#, preserving its control flow and logic.
program mdr implicit none integer :: i, mdr, mp, n, j character(len=*), parameter :: hfmt = '(A18)', nfmt = '(I6)' character(len=*), parameter :: cfmt = '(A3)', rfmt = '(I3)', ffmt = '(I9)' write(*,hfmt) 'Number MDR MP ' write(*,*) '------------------' i = 123321 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 3939 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 8822 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 39398 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp write(*,*) write(*,*) write(*,*) 'First five numbers with MDR in first column: ' write(*,*) '---------------------------------------------' do i = 0,9 n = 0 j = 0 write(*,rfmt,advance='no') i do call root_pers(j,mdr,mp) if(mdr.eq.i) then n = n+1 if(n.eq.5) then write(*,ffmt) j exit else write(*,ffmt,advance='no') j end if end if j = j+1 end do end do end program subroutine root_pers(i,mdr,mp) implicit none integer :: N, s, a, i, mdr, mp n = i a = 0 if(n.lt.10) then mdr = n mp = 0 return end if do while(n.ge.10) a = a + 1 s = 1 do while(n.gt.0) s = s * mod(n,10) n = int(real(n)/10.0D0) end do n = s end do mdr = s mp = a end subroutine
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Ensure the translated C++ code behaves exactly like the original Fortran snippet.
program mdr implicit none integer :: i, mdr, mp, n, j character(len=*), parameter :: hfmt = '(A18)', nfmt = '(I6)' character(len=*), parameter :: cfmt = '(A3)', rfmt = '(I3)', ffmt = '(I9)' write(*,hfmt) 'Number MDR MP ' write(*,*) '------------------' i = 123321 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 3939 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 8822 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 39398 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp write(*,*) write(*,*) write(*,*) 'First five numbers with MDR in first column: ' write(*,*) '---------------------------------------------' do i = 0,9 n = 0 j = 0 write(*,rfmt,advance='no') i do call root_pers(j,mdr,mp) if(mdr.eq.i) then n = n+1 if(n.eq.5) then write(*,ffmt) j exit else write(*,ffmt,advance='no') j end if end if j = j+1 end do end do end program subroutine root_pers(i,mdr,mp) implicit none integer :: N, s, a, i, mdr, mp n = i a = 0 if(n.lt.10) then mdr = n mp = 0 return end if do while(n.ge.10) a = a + 1 s = 1 do while(n.gt.0) s = s * mod(n,10) n = int(real(n)/10.0D0) end do n = s end do mdr = s mp = a end subroutine
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Port the following code from Fortran to C with equivalent syntax and logic.
program mdr implicit none integer :: i, mdr, mp, n, j character(len=*), parameter :: hfmt = '(A18)', nfmt = '(I6)' character(len=*), parameter :: cfmt = '(A3)', rfmt = '(I3)', ffmt = '(I9)' write(*,hfmt) 'Number MDR MP ' write(*,*) '------------------' i = 123321 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 3939 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 8822 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 39398 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp write(*,*) write(*,*) write(*,*) 'First five numbers with MDR in first column: ' write(*,*) '---------------------------------------------' do i = 0,9 n = 0 j = 0 write(*,rfmt,advance='no') i do call root_pers(j,mdr,mp) if(mdr.eq.i) then n = n+1 if(n.eq.5) then write(*,ffmt) j exit else write(*,ffmt,advance='no') j end if end if j = j+1 end do end do end program subroutine root_pers(i,mdr,mp) implicit none integer :: N, s, a, i, mdr, mp n = i a = 0 if(n.lt.10) then mdr = n mp = 0 return end if do while(n.ge.10) a = a + 1 s = 1 do while(n.gt.0) s = s * mod(n,10) n = int(real(n)/10.0D0) end do n = s end do mdr = s mp = a end subroutine
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Convert this Fortran block to Java, preserving its control flow and logic.
program mdr implicit none integer :: i, mdr, mp, n, j character(len=*), parameter :: hfmt = '(A18)', nfmt = '(I6)' character(len=*), parameter :: cfmt = '(A3)', rfmt = '(I3)', ffmt = '(I9)' write(*,hfmt) 'Number MDR MP ' write(*,*) '------------------' i = 123321 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 3939 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 8822 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 39398 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp write(*,*) write(*,*) write(*,*) 'First five numbers with MDR in first column: ' write(*,*) '---------------------------------------------' do i = 0,9 n = 0 j = 0 write(*,rfmt,advance='no') i do call root_pers(j,mdr,mp) if(mdr.eq.i) then n = n+1 if(n.eq.5) then write(*,ffmt) j exit else write(*,ffmt,advance='no') j end if end if j = j+1 end do end do end program subroutine root_pers(i,mdr,mp) implicit none integer :: N, s, a, i, mdr, mp n = i a = 0 if(n.lt.10) then mdr = n mp = 0 return end if do while(n.ge.10) a = a + 1 s = 1 do while(n.gt.0) s = s * mod(n,10) n = int(real(n)/10.0D0) end do n = s end do mdr = s mp = a end subroutine
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Maintain the same structure and functionality when rewriting this code in Python.
program mdr implicit none integer :: i, mdr, mp, n, j character(len=*), parameter :: hfmt = '(A18)', nfmt = '(I6)' character(len=*), parameter :: cfmt = '(A3)', rfmt = '(I3)', ffmt = '(I9)' write(*,hfmt) 'Number MDR MP ' write(*,*) '------------------' i = 123321 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 3939 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 8822 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp i = 39398 call root_pers(i,mdr,mp) write(*,nfmt,advance='no') i write(*,cfmt,advance='no') ' ' write(*,rfmt,advance='no') mdr write(*,cfmt,advance='no') ' ' write(*,rfmt) mp write(*,*) write(*,*) write(*,*) 'First five numbers with MDR in first column: ' write(*,*) '---------------------------------------------' do i = 0,9 n = 0 j = 0 write(*,rfmt,advance='no') i do call root_pers(j,mdr,mp) if(mdr.eq.i) then n = n+1 if(n.eq.5) then write(*,ffmt) j exit else write(*,ffmt,advance='no') j end if end if j = j+1 end do end do end program subroutine root_pers(i,mdr,mp) implicit none integer :: N, s, a, i, mdr, mp n = i a = 0 if(n.lt.10) then mdr = n mp = 0 return end if do while(n.ge.10) a = a + 1 s = 1 do while(n.gt.0) s = s * mod(n,10) n = int(real(n)/10.0D0) end do n = s end do mdr = s mp = a end subroutine
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Produce a language-to-language conversion: from Haskell to C, same semantics.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Transform the following Haskell implementation into C#, maintaining the same output and logic.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Rewrite this program in C++ while keeping its functionality equivalent to the Haskell version.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Produce a functionally identical Java code for the snippet given in Haskell.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Rewrite this program in Python while keeping its functionality equivalent to the Haskell version.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Convert this Haskell block to Go, preserving its control flow and logic.
import Control.Arrow import Data.Array import Data.LazyArray import Data.List (unfoldr) import Data.Tuple import Text.Printf mpmdr :: Integer -> (Int, Integer) mpmdr = (length *** head) . span (> 9) . iterate (product . digits) mdrNums :: Int -> [(Integer, [Integer])] mdrNums k = assocs $ lArrayMap (take k) (0,9) [(snd $ mpmdr n, n) | n <- [0..]] digits :: Integral t => t -> [t] digits 0 = [0] digits n = unfoldr step n where step 0 = Nothing step k = Just (swap $ quotRem k 10) printMpMdrs :: [Integer] -> IO () printMpMdrs ns = do putStrLn "Number MP MDR" putStrLn "====== == ===" sequence_ [printf "%6d %2d %2d\n" n p r | n <- ns, let (p,r) = mpmdr n] printMdrNums:: Int -> IO () printMdrNums k = do putStrLn "MDR Numbers" putStrLn "=== =======" let showNums = unwords . map show sequence_ [printf "%2d %s\n" mdr $ showNums ns | (mdr,ns) <- mdrNums k] main :: IO () main = do printMpMdrs [123321, 7739, 893, 899998] putStrLn "" printMdrNums 5
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Convert the following code from J to C, ensuring the logic remains intact.
10&#.inv 123321 1 2 3 3 2 1
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Convert this J snippet to C# and keep its semantics consistent.
10&#.inv 123321 1 2 3 3 2 1
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Port the following code from J to C++ with equivalent syntax and logic.
10&#.inv 123321 1 2 3 3 2 1
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Rewrite the snippet below in Java so it works the same as the original J code.
10&#.inv 123321 1 2 3 3 2 1
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Convert this J snippet to Python and keep its semantics consistent.
10&#.inv 123321 1 2 3 3 2 1
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Ensure the translated Go code behaves exactly like the original J snippet.
10&#.inv 123321 1 2 3 3 2 1
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Rewrite the snippet below in C so it works the same as the original Julia code.
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Generate a C# translation of this Julia snippet without changing its computational steps.
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Ensure the translated C++ code behaves exactly like the original Julia snippet.
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Maintain the same structure and functionality when rewriting this code in Java.
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Port the following code from Julia to Python with equivalent syntax and logic.
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Can you help me rewrite this code in Go instead of Julia, keeping it the same logically?
function digitalmultroot{S<:Integer,T<:Integer}(n::S, bs::T=10) -1 < n && 1 < bs || throw(DomainError()) ds = n pers = 0 while bs <= ds ds = prod(digits(ds, bs)) pers += 1 end return (pers, ds) end
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Rewrite the snippet below in C so it works the same as the original Mathematica code.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Port the following code from Mathematica to C# with equivalent syntax and logic.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Rewrite the snippet below in C++ so it works the same as the original Mathematica code.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Keep all operations the same but rewrite the snippet in Java.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Maintain the same structure and functionality when rewriting this code in Python.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Generate an equivalent Go version of this Mathematica code.
ClearAll[mdr, mp, nums]; mdr[n_] := NestWhile[Times @@ IntegerDigits[#] &, n, # > 9 &]; mp[n_] := Length@NestWhileList[Times @@ IntegerDigits[#] &, n, # > 9 &] - 1; TableForm[{#, mdr[#], mp[#]} & /@ {123321, 7739, 893, 899998}, TableHeadings -> {None, {"Number", "MDR", "MP"}}] nums = ConstantArray[{}, 10]; For[i = 0, Min[Length /@ nums] < 5, i++, AppendTo[nums[[mdr[i] + 1]], i]]; TableForm[Table[{i, Take[nums[[i + 1]], 5]}, {i, 0, 9}], TableHeadings -> {None, {"MDR", "First 5"}}, TableDepth -> 2]
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Convert this Nim block to C, preserving its control flow and logic.
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Generate a C# translation of this Nim snippet without changing its computational steps.
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Maintain the same structure and functionality when rewriting this code in C++.
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Can you help me rewrite this code in Java instead of Nim, keeping it the same logically?
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Maintain the same structure and functionality when rewriting this code in Python.
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Translate the given Nim code snippet into Go without altering its behavior.
import strutils, sequtils, sugar proc mdroot(n: int): tuple[mp, mdr: int] = var mdr = @[n] while mdr[mdr.high] > 9: var n = 1 for dig in $mdr[mdr.high]: n *= parseInt($dig) mdr.add n (mdr.high, mdr[mdr.high]) for n in [123321, 7739, 893, 899998]: echo align($n, 6)," ",mdroot(n) echo "" var table = newSeqWith(10, newSeq[int]()) for n in 0..int.high: if table.map((x: seq[int]) => x.len).min >= 5: break table[mdroot(n).mdr].add n for mp, val in table: echo mp, ": ", val[0..4]
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Rewrite this program in C while keeping its functionality equivalent to the Pascal version.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Write a version of this Pascal function in C# with identical behavior.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Produce a functionally identical C++ code for the snippet given in Pascal.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Write a version of this Pascal function in Java with identical behavior.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Ensure the translated Python code behaves exactly like the original Pascal snippet.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))
Port the provided Pascal code into Go while preserving the original functionality.
program MultRoot; uses sysutils; type tMul3Dgt = array[0..999] of Uint32; tMulRoot = record mrNum, mrMul, mrPers : Uint64; end; const Testnumbers : array[0..16] of Uint64 =(123321,7739,893,899998, 18446743999999999999, 0,10,25,39,77,679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899); var Mul3Dgt : tMul3Dgt; procedure InitMulDgt; var i,j,k,l : Int32; begin l := 999; For i := 9 downto 0 do For j := 9 downto 0 do For k := 9 downto 0 do Begin Mul3Dgt[l] := i*j*k; dec(l); end; end; function GetMulDigits(n:Uint64):UInt64;inline; var pMul3Dgt :^tMul3Dgt; q :Uint64; begin pMul3Dgt := @Mul3Dgt[0]; result := 1; while n >= 1000 do begin q := n div 1000; result *= pMul3Dgt^[n-1000*q]; n := q; end; If n>=100 then result *= pMul3Dgt^[n] else if n>=10 then result *= pMul3Dgt^[n+100] else result *= n; end; procedure GetMulRoot(var MulRoot:tMulRoot); var mr, pers : UInt64; Begin pers := 0; mr := MulRoot.mrNum; while mr >=10 do Begin mr := GetMulDigits(mr); inc(pers); end; MulRoot.mrMul:= mr; MulRoot.mrPers:= pers; end; const MaxDgtCount = 9; var MulRoot:tMulRoot; Sol : array[0..9,0..MaxDgtCount-1] of tMulRoot; SolIds : array[0..9] of Int32; i,idx,mr,AlreadyDone : Int32; BEGIN InitMulDgt; AlreadyDone := 10; MulRoot.mrNum := 0; repeat GetMulRoot(MulRoot); mr := MulRoot.mrMul; idx := SolIds[mr]; If idx<MaxDgtCount then begin Sol[mr,idx]:= MulRoot; inc(idx); SolIds[mr]:= idx; if idx =MaxDgtCount then dec(AlreadyDone); end; inc(MulRoot.mrNum); until AlreadyDone = 0; writeln('MDR: First'); For i := 0 to 9 do begin write(i:3,':'); For idx := 0 to MaxDgtCount-1 do write(Sol[i,idx].mrNum:MaxDgtCount+1); writeln; end; writeln; writeln('number':20,' mulroot persitance'); For i := 0 to High(Testnumbers) do begin MulRoot.mrNum := Testnumbers[i]; GetMulRoot(MulRoot); With MulRoot do writeln(mrNum:20,mrMul:8,mrPers:8); end; readln; END.
package main import "fmt" func mult(n uint64, base int) (mult uint64) { for mult = 1; mult > 0 && n > 0; n /= uint64(base) { mult *= n % uint64(base) } return } func MultDigitalRoot(n uint64, base int) (mp, mdr int) { var m uint64 for m = n; m >= uint64(base); mp++ { m = mult(m, base) } return mp, int(m) } func main() { const base = 10 const size = 5 const testFmt = "%20v %3v %3v\n" fmt.Printf(testFmt, "Number", "MDR", "MP") for _, n := range [...]uint64{ 123321, 7739, 893, 899998, 18446743999999999999, 3778888999, 277777788888899, } { mp, mdr := MultDigitalRoot(n, base) fmt.Printf(testFmt, n, mdr, mp) } fmt.Println() var list [base][]uint64 for i := range list { list[i] = make([]uint64, 0, size) } for cnt, n := size*base, uint64(0); cnt > 0; n++ { _, mdr := MultDigitalRoot(n, base) if len(list[mdr]) < size { list[mdr] = append(list[mdr], n) cnt-- } } const tableFmt = "%3v: %v\n" fmt.Printf(tableFmt, "MDR", "First") for i, l := range list { fmt.Printf(tableFmt, i, l) } }
Can you help me rewrite this code in C instead of Perl, keeping it the same logically?
use warnings; use strict; sub mdr { my $n = shift; my($count, $mdr) = (0, $n); while ($mdr > 9) { my($m, $dm) = ($mdr, 1); while ($m) { $dm *= $m % 10; $m = int($m/10); } $mdr = $dm; $count++; } ($count, $mdr); } print "Number: (MP, MDR)\n====== =========\n"; foreach my $n (123321, 7739, 893, 899998) { printf "%6d: (%d, %d)\n", $n, mdr($n); } print "\nMP: [n0..n4]\n== ========\n"; foreach my $target (0..9) { my $i = 0; my @n = map { $i++ while (mdr($i))[1] != $target; $i++; } 1..5; print " $target: [", join(", ", @n), "]\n"; }
#include <stdio.h> #define twidth 5 #define mdr(rmdr, rmp, n)\ do { *rmp = 0; _mdr(rmdr, rmp, n); } while (0) void _mdr(int *rmdr, int *rmp, long long n) { int r = n ? 1 : 0; while (n) { r *= (n % 10); n /= 10; } (*rmp)++; if (r >= 10) _mdr(rmdr, rmp, r); else *rmdr = r; } int main(void) { int i, j, vmdr, vmp; const int values[] = { 123321, 7739, 893, 899998 }; const int vsize = sizeof(values) / sizeof(values[0]); printf("Number MDR MP\n"); for (i = 0; i < vsize; ++i) { mdr(&vmdr, &vmp, values[i]); printf("%6d %3d %3d\n", values[i], vmdr, vmp); } int table[10][twidth] = { 0 }; int tfill[10] = { 0 }; int total = 0; for (i = 0; total < 10 * twidth; ++i) { mdr(&vmdr, &vmp, i); if (tfill[vmdr] < twidth) { table[vmdr][tfill[vmdr]++] = i; total++; } } printf("\nMDR: [n0..n4]\n"); for (i = 0; i < 10; ++i) { printf("%3d: [", i); for (j = 0; j < twidth; ++j) printf("%d%s", table[i][j], j != twidth - 1 ? ", " : ""); printf("]\n"); } return 0; }
Write the same algorithm in C# as shown in this Perl implementation.
use warnings; use strict; sub mdr { my $n = shift; my($count, $mdr) = (0, $n); while ($mdr > 9) { my($m, $dm) = ($mdr, 1); while ($m) { $dm *= $m % 10; $m = int($m/10); } $mdr = $dm; $count++; } ($count, $mdr); } print "Number: (MP, MDR)\n====== =========\n"; foreach my $n (123321, 7739, 893, 899998) { printf "%6d: (%d, %d)\n", $n, mdr($n); } print "\nMP: [n0..n4]\n== ========\n"; foreach my $target (0..9) { my $i = 0; my @n = map { $i++ while (mdr($i))[1] != $target; $i++; } 1..5; print " $target: [", join(", ", @n), "]\n"; }
using System; using System.Collections.Generic; using System.Linq; class Program { static Tuple<int, int> DigitalRoot(long num) { int mp = 0; while (num > 9) { num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b); mp++; } return new Tuple<int, int>(mp, (int)num); } static void Main(string[] args) { foreach (long num in new long[] { 123321, 7739, 893, 899998 }) { var t = DigitalRoot(num); Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2); } const int twidth = 5; List<long>[] table = new List<long>[10]; for (int i = 0; i < 10; i++) table[i] = new List<long>(); long number = -1; while (table.Any(x => x.Count < twidth)) { var t = DigitalRoot(++number); if (table[t.Item2].Count < twidth) table[t.Item2].Add(number); } for (int i = 0; i < 10; i++) Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i])); } }
Generate an equivalent C++ version of this Perl code.
use warnings; use strict; sub mdr { my $n = shift; my($count, $mdr) = (0, $n); while ($mdr > 9) { my($m, $dm) = ($mdr, 1); while ($m) { $dm *= $m % 10; $m = int($m/10); } $mdr = $dm; $count++; } ($count, $mdr); } print "Number: (MP, MDR)\n====== =========\n"; foreach my $n (123321, 7739, 893, 899998) { printf "%6d: (%d, %d)\n", $n, mdr($n); } print "\nMP: [n0..n4]\n== ========\n"; foreach my $target (0..9) { my $i = 0; my @n = map { $i++ while (mdr($i))[1] != $target; $i++; } 1..5; print " $target: [", join(", ", @n), "]\n"; }
#include <iomanip> #include <map> #include <vector> #include <iostream> using namespace std; void calcMDR( int n, int c, int& a, int& b ) { int m = n % 10; n /= 10; while( n ) { m *= ( n % 10 ); n /= 10; } if( m >= 10 ) calcMDR( m, ++c, a, b ); else { a = m; b = c; } } void table() { map<int, vector<int> > mp; int n = 0, a, b; bool f = true; while( f ) { f = false; calcMDR( n, 1, a, b ); mp[a].push_back( n ); n++; for( int x = 0; x < 10; x++ ) if( mp[x].size() < 5 ) { f = true; break; } } cout << "| MDR | [n0..n4]\n+-------+------------------------------------+\n"; for( int x = 0; x < 10; x++ ) { cout << right << "| " << setw( 6 ) << x << "| "; for( vector<int>::iterator i = mp[x].begin(); i != mp[x].begin() + 5; i++ ) cout << setw( 6 ) << *i << " "; cout << "|\n"; } cout << "+-------+------------------------------------+\n\n"; } int main( int argc, char* argv[] ) { cout << "| NUMBER | MDR | MP |\n+----------+----------+----------+\n"; int numbers[] = { 123321, 7739, 893, 899998 }, a, b; for( int x = 0; x < 4; x++ ) { cout << right << "| " << setw( 9 ) << numbers[x] << "| "; calcMDR( numbers[x], 1, a, b ); cout << setw( 9 ) << a << "| " << setw( 9 ) << b << "|\n"; } cout << "+----------+----------+----------+\n\n"; table(); return system( "pause" ); }
Convert the following code from Perl to Java, ensuring the logic remains intact.
use warnings; use strict; sub mdr { my $n = shift; my($count, $mdr) = (0, $n); while ($mdr > 9) { my($m, $dm) = ($mdr, 1); while ($m) { $dm *= $m % 10; $m = int($m/10); } $mdr = $dm; $count++; } ($count, $mdr); } print "Number: (MP, MDR)\n====== =========\n"; foreach my $n (123321, 7739, 893, 899998) { printf "%6d: (%d, %d)\n", $n, mdr($n); } print "\nMP: [n0..n4]\n== ========\n"; foreach my $target (0..9) { my $i = 0; my @n = map { $i++ while (mdr($i))[1] != $target; $i++; } 1..5; print " $target: [", join(", ", @n), "]\n"; }
import java.util.*; public class MultiplicativeDigitalRoot { public static void main(String[] args) { System.out.println("NUMBER MDR MP"); for (long n : new long[]{123321, 7739, 893, 899998}) { long[] a = multiplicativeDigitalRoot(n); System.out.printf("%6d %4d %4d%n", a[0], a[1], a[2]); } System.out.println(); Map<Long, List<Long>> table = new HashMap<>(); for (long i = 0; i < 10; i++) table.put(i, new ArrayList<>()); for (long cnt = 0, n = 0; cnt < 10;) { long[] res = multiplicativeDigitalRoot(n++); List<Long> list = table.get(res[1]); if (list.size() < 5) { list.add(res[0]); cnt = list.size() == 5 ? cnt + 1 : cnt; } } System.out.println("MDR: first five numbers with same MDR"); table.forEach((key, lst) -> { System.out.printf("%3d: ", key); lst.forEach(e -> System.out.printf("%6s ", e)); System.out.println(); }); } public static long[] multiplicativeDigitalRoot(long n) { int mp = 0; long mdr = n; while (mdr > 9) { long m = mdr; long total = 1; while (m > 0) { total *= m % 10; m /= 10; } mdr = total; mp++; } return new long[]{n, mdr, mp}; } }
Generate an equivalent Python version of this Perl code.
use warnings; use strict; sub mdr { my $n = shift; my($count, $mdr) = (0, $n); while ($mdr > 9) { my($m, $dm) = ($mdr, 1); while ($m) { $dm *= $m % 10; $m = int($m/10); } $mdr = $dm; $count++; } ($count, $mdr); } print "Number: (MP, MDR)\n====== =========\n"; foreach my $n (123321, 7739, 893, 899998) { printf "%6d: (%d, %d)\n", $n, mdr($n); } print "\nMP: [n0..n4]\n== ========\n"; foreach my $target (0..9) { my $i = 0; my @n = map { $i++ while (mdr($i))[1] != $target; $i++; } 1..5; print " $target: [", join(", ", @n), "]\n"; }
try: from functools import reduce except: pass def mdroot(n): 'Multiplicative digital root' mdr = [n] while mdr[-1] > 9: mdr.append(reduce(int.__mul__, (int(dig) for dig in str(mdr[-1])), 1)) return len(mdr) - 1, mdr[-1] if __name__ == '__main__': print('Number: (MP, MDR)\n====== =========') for n in (123321, 7739, 893, 899998): print('%6i: %r' % (n, mdroot(n))) table, n = {i: [] for i in range(10)}, 0 while min(len(row) for row in table.values()) < 5: mpersistence, mdr = mdroot(n) table[mdr].append(n) n += 1 print('\nMP: [n0..n4]\n== ========') for mp, val in sorted(table.items()): print('%2i: %r' % (mp, val[:5]))