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1.18k classes
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def eulers_sum_of_powers(): max_n = 250 pow_5 = [n**5 for n in range(max_n)] pow5_to_n = {n**5: n for n in range(max_n)} for x0 in range(1, max_n): for x1 in range(1, x0): for x2 in range(1, x1): for x3 in range(1, x2): pow_5_sum = sum(pow_5[i] for i in (x0, x1, x2, x3)) if pow_5_sum in pow5_to_n: y = pow5_to_n[pow_5_sum] return (x0, x1, x2, x3, y) print(% eulers_sum_of_powers())
892Euler's sum of powers conjecture
3python
c7a9q
use feature 'say'; use ntheory qw(forprimes is_prime); sub emirp_list { my $count = shift; my($i, $inc, @n) = (13, 100+10*$count); while (@n < $count) { forprimes { push @n, $_ if is_prime(reverse $_) && $_ ne reverse($_); } $i, $i+$inc-1; ($i, $inc) = ($i+$inc, int($inc * 1.03) + 1000); } splice @n, $count; @n; } say "First 20: ", join " ", emirp_list(20); print "Between 7700 and 8000:"; forprimes { print " $_" if is_prime(reverse $_) && $_ ne reverse($_) } 7700,8000; print "\n"; say "The 10_000'th emirp: ", (emirp_list(10000))[-1];
903Emirp primes
2perl
5pju2
null
902Even or odd
11kotlin
szdq7
<?php function is_prime($n) { if ($n <= 3) { return $n > 1; } elseif (($n % 2 == 0) or ($n % 3 == 0)) { return false; } $i = 5; while ($i * $i <= $n) { if ($n % $i == 0) { return false; } $i += 2; if ($n % $i == 0) { return false; } $i += 4; } return true; } function is_emirp($n) { $r = (int) strrev((string) $n); return (($r != $n) and is_prime($r) and is_prime($n)); } $c = $x = 0; $first20 = $between = ''; do { $x++; if (is_emirp($x)) { $c++; if ($c <= 20) { $first20 .= $x . ' '; } if (7700 <= $x and $x <= 8000) { $between .= $x . ' '; } } } while ($c < 10000); echo 'First twenty emirps:', PHP_EOL, $first20, PHP_EOL, 'Emirps between 7,700 and 8,000:', PHP_EOL, $between, PHP_EOL, 'The 10,000th emirp:', PHP_EOL, $x, PHP_EOL;
903Emirp primes
12php
oyt85
String s = ""; if(s != null && s.isEmpty()){
904Empty string
9java
qtoxa
var s = ""; var s = new String();
904Empty string
10javascript
imtol
import java.util.HashMap; import java.util.Map; import java.util.Scanner; public class Mult{ public static void main(String[] args){ Scanner sc = new Scanner(System.in); int first = sc.nextInt(); int second = sc.nextInt(); if(first < 0){ first = -first; second = -second; } Map<Integer, Integer> columns = new HashMap<Integer, Integer>(); columns.put(first, second); int sum = isEven(first)? 0: second; do{ first = halveInt(first); second = doubleInt(second); columns.put(first, second); if(!isEven(first)){ sum += second; } }while(first > 1); System.out.println(sum); } public static int doubleInt(int doubleMe){ return doubleMe << 1;
901Ethiopian multiplication
9java
re1g0
var eth = { halve : function ( n ){ return Math.floor(n/2); }, double: function ( n ){ return 2*n; }, isEven: function ( n ){ return n%2 === 0); }, mult: function ( a , b ){ var sum = 0, a = [a], b = [b]; while ( a[0] !== 1 ){ a.unshift( eth.halve( a[0] ) ); b.unshift( eth.double( b[0] ) ); } for( var i = a.length - 1; i > 0 ; i -= 1 ){ if( !eth.isEven( a[i] ) ){ sum += b[i]; } } return sum + b[0]; } }
901Ethiopian multiplication
10javascript
b0qki
from __future__ import print_function from prime_decomposition import primes, is_prime from heapq import * from itertools import islice def emirp(): largest = set() emirps = [] heapify(emirps) for pr in primes(): while emirps and pr > emirps[0]: yield heappop(emirps) if pr in largest: yield pr else: rp = int(str(pr)[::-1]) if rp > pr and is_prime(rp): heappush(emirps, pr) largest.add(rp) print('First 20:\n ', list(islice(emirp(), 20))) print('Between 7700 and 8000:\n [', end='') for pr in emirp(): if pr >= 8000: break if pr >= 7700: print(pr, end=', ') print(']') print('10000th:\n ', list(islice(emirp(), 10000-1, 10000)))
903Emirp primes
3python
41h5k
fun main(args: Array<String>) { val s = "" println(s.isEmpty())
904Empty string
11kotlin
1oxpd
sub entropy { my %count; $count{$_}++ for @_; my $entropy = 0; for (values %count) { my $p = $_/@_; $entropy -= $p * log $p; } $entropy / log 2 } print entropy split //, "1223334444";
900Entropy
2perl
wdne6
power5 = (1..250).each_with_object({}){|i,h| h[i**5]=i} result = power5.keys.repeated_combination(4).select{|a| power5[a.inject(:+)]} puts result.map{|a| a.map{|i| }.join(' + ') + }
892Euler's sum of powers conjecture
14ruby
2hwlw
import math math.factorial(n)
882Factorial
3python
3uszc
library(gmp) emirp <- function(start = 1, end = Inf, howmany = Inf, ignore = 0) { count <- 0 p <- start while (count<howmany+ignore && p <= end) { p <- nextprime(p) p_reverse <- as.bigz(paste0(rev(unlist(strsplit(as.character(p), ""))), collapse = "")) if (p != p_reverse && isprime(p_reverse) > 0) { if (count >= ignore) cat(as.character(p)," ",sep="") count <- count + 1 } } cat("\n") } cat("First 20 emirps: ") emirp(howmany = 20) cat("Emirps between 7700 and 8000: ") emirp(start = 7700, end = 8000) cat("The 10000th emirp: ") emirp(ignore = 9999, howmany = 1)
903Emirp primes
13r
2hglg
package main func main() { }
905Empty program
0go
p8ebg
null
905Empty program
7groovy
7wkrz
<?php function shannonEntropy($string) { $h = 0.0; $len = strlen($string); foreach (count_chars($string, 1) as $count) { $h -= (double) ($count / $len) * log((double) ($count / $len), 2); } return $h; } $strings = array( '1223334444', '1225554444', 'aaBBcccDDDD', '122333444455555', 'Rosetta Code', '1234567890abcdefghijklmnopqrstuvwxyz', ); foreach ($strings AS $string) { printf( '%36s:%s' . PHP_EOL, $string, number_format(shannonEntropy($string), 6) ); }
900Entropy
12php
lj7cj
main = return ()
905Empty program
8haskell
fl3d1
const MAX_N: u64 = 250; fn eulers_sum_of_powers() -> (usize, usize, usize, usize, usize) { let pow5: Vec<u64> = (0..MAX_N).map(|i| i.pow(5)).collect(); let pow5_to_n = |pow| pow5.binary_search(&pow); for x0 in 1..MAX_N as usize { for x1 in 1..x0 { for x2 in 1..x1 { for x3 in 1..x2 { let pow_sum = pow5[x0] + pow5[x1] + pow5[x2] + pow5[x3]; if let Ok(n) = pow5_to_n(pow_sum) { return (x0, x1, x2, x3, n) } } } } } panic!(); } fn main() { let (x0, x1, x2, x3, y) = eulers_sum_of_powers(); println!("{}^5 + {}^5 + {}^5 + {}^5 == {}^5", x0, x1, x2, x3, y) }
892Euler's sum of powers conjecture
15rust
vkx2t
null
901Ethiopian multiplication
11kotlin
vkj21
import scala.collection.Searching.{Found, search} object EulerSopConjecture extends App { val (maxNumber, fifth) = (250, (1 to 250).map { i => math.pow(i, 5).toLong }) def binSearch(fact: Int*) = fifth.search(fact.map(f => fifth(f)).sum) def sop = (0 until maxNumber) .flatMap(a => (a until maxNumber) .flatMap(b => (b until maxNumber) .flatMap(c => (c until maxNumber) .map { case x$1@d => (binSearch(a, b, c, d), x$1) } .withFilter { case (f, _) => f.isInstanceOf[Found] } .map { case (f, d) => (a + 1, b + 1, c + 1, d + 1, f.insertionPoint + 1) }))).take(1) .map { case (a, b, c, d, f) => s"$a + $b + $c + $d = $f" } println(sop) }
892Euler's sum of powers conjecture
16scala
41050
null
902Even or odd
1lua
03fsd
require 'prime' emirp = Enumerator.new do |y| Prime.each do |prime| rev = prime.to_s.reverse.to_i y << prime if rev.prime? and rev!= prime end end puts , emirp.first(20).join() puts emirp.with_index(1) do |prime,i| print if (7700..8000).cover?(prime) if i==10000 puts , , prime break end end
903Emirp primes
14ruby
rebgs
fact <- function(n) { if (n <= 1) 1 else n * Recall(n - 1) }
882Factorial
13r
dcent
#![feature(iterator_step_by)] extern crate primal; fn is_prime(n: u64) -> bool { if n == 2 || n == 3 || n == 5 || n == 7 || n == 11 || n == 13 { return true; } if n% 2 == 0 || n% 3 == 0 || n% 5 == 0 || n% 7 == 0 || n% 11 == 0 || n% 13 == 0 { return false; } let root = (n as f64).sqrt() as u64 + 1; (17..root).step_by(2).all(|i| n% i!= 0) } fn is_emirp(n: u64) -> bool { let mut aux = n; let mut rev_prime = 0; while aux > 0 { rev_prime = rev_prime * 10 + aux % 10; aux /= 10; } if n == rev_prime { return false; } is_prime(rev_prime) } fn calculate() -> (Vec<usize>, Vec<usize>, usize) { let mut count = 1; let mut vec1 = Vec::new(); let mut vec2 = Vec::new(); let mut emirp_10_000 = 0; for i in primal::Primes::all() { if is_emirp(i as u64) { if count < 21 { vec1.push(i) } if i > 7_700 && i < 8_000 { vec2.push(i) } if count == 10_000 { emirp_10_000 = i; break; } count += 1; } } (vec1, vec2, emirp_10_000) } fn main() { let (vec1, vec2, emirp_10_000) = calculate(); println!("First 20 emirp-s: {:?}", vec1); println!("Emirps-s between 7700 and 8000: {:?}", vec2); println!("10.000-th emirp: {}", emirp_10_000); }
903Emirp primes
15rust
7wprc
def isEmirp( v:Long ) : Boolean = { val b = BigInt(v.toLong) val r = BigInt(v.toString.reverse.toLong) b != r && b.isProbablePrime(16) && r.isProbablePrime(16) }
903Emirp primes
16scala
ksehk
null
904Empty string
1lua
aiq1v
from __future__ import division import math def hist(source): hist = {}; l = 0; for e in source: l += 1 if e not in hist: hist[e] = 0 hist[e] += 1 return (l,hist) def entropy(hist,l): elist = [] for v in hist.values(): c = v / l elist.append(-c * math.log(c ,2)) return sum(elist) def printHist(h): flip = lambda (k,v): (v,k) h = sorted(h.iteritems(), key = flip) print 'Sym\thi\tfi\tInf' for (k,v) in h: print '%s\t%f\t%f\t%f'%(k,v,v/l,-math.log(v/l, 2)) source = (l,h) = hist(source); print '.[Results].' print 'Length',l print 'Entropy:', entropy(h, l) printHist(h)
900Entropy
3python
xfdwr
public class EmptyApplet extends java.applet.Applet { @Override public void init() { } }
905Empty program
9java
03ise
null
905Empty program
10javascript
dcznu
entropy = function(s) {freq = prop.table(table(strsplit(s, '')[1])) -sum(freq * log(freq, base = 2))} print(entropy("1223334444"))
900Entropy
13r
1o8pn
extension BinaryInteger { @inlinable public func power(_ n: Self) -> Self { return stride(from: 0, to: n, by: 1).lazy.map({_ in self }).reduce(1, *) } } func sumOfPowers(maxN: Int = 250) -> (Int, Int, Int, Int, Int) { let pow5 = (0..<maxN).map({ $0.power(5) }) let pow5ToN = {n in pow5.firstIndex(of: n)} for x0 in 1..<maxN { for x1 in 1..<x0 { for x2 in 1..<x1 { for x3 in 1..<x2 { let powSum = pow5[x0] + pow5[x1] + pow5[x2] + pow5[x3] if let idx = pow5ToN(powSum) { return (x0, x1, x2, x3, idx) } } } } } fatalError("Did not find solution") } let (x0, x1, x2, x3, y) = sumOfPowers() print("\(x0)^5 + \(x1)^5 + \(x2)^5 \(x3)^5 = \(y)^5")
892Euler's sum of powers conjecture
17swift
ljec2
import Foundation extension BinaryInteger { var isPrime: Bool { if self == 0 || self == 1 { return false } else if self == 2 { return true } let max = Self(ceil((Double(self).squareRoot()))) for i in stride(from: 2, through: max, by: 1) where self% i == 0 { return false } return true } } func isEmirp<T: BinaryInteger>(n: T) -> Bool { guard n.isPrime else { return false } var aux = n var revPrime = T(0) while aux > 0 { revPrime = revPrime * 10 + aux% 10 aux /= 10 } guard n!= revPrime else { return false } return revPrime.isPrime } let lots = (2...).lazy.filter(isEmirp).prefix(10000) let rang = (7700...8000).filter(isEmirp) print("First 20 emirps: \(Array(lots.prefix(20)))") print("Emirps between 7700 and 8000: \(rang)") print("10,000th emirp: \(Array(lots).last!)")
903Emirp primes
17swift
gak49
function halve(a) return a/2 end function double(a) return a*2 end function isEven(a) return a%2 == 0 end function ethiopian(x, y) local result = 0 while (x >= 1) do if not isEven(x) then result = result + y end x = math.floor(halve(x)) y = double(y) end return result; end print(ethiopian(17, 34))
901Ethiopian multiplication
1lua
ubhvl
fun main(a: Array<String>) {}
905Empty program
11kotlin
enqa4
def entropy(s) counts = Hash.new(0.0) s.each_char { |c| counts[c] += 1 } leng = s.length counts.values.reduce(0) do |entropy, count| freq = count / leng entropy - freq * Math.log2(freq) end end p entropy()
900Entropy
14ruby
sztqw
fn entropy(s: &[u8]) -> f32 { let mut histogram = [0u64; 256]; for &b in s { histogram[b as usize] += 1; } histogram .iter() .cloned() .filter(|&h| h!= 0) .map(|h| h as f32 / s.len() as f32) .map(|ratio| -ratio * ratio.log2()) .sum() } fn main() { let arg = std::env::args().nth(1).expect("Need a string."); println!("Entropy of {} is {}.", arg, entropy(arg.as_bytes())); }
900Entropy
15rust
03zsl
import scala.math._ def entropy( v:String ) = { v .groupBy (a => a) .values .map( i => i.length.toDouble / v.length ) .map( p => -p * log10(p) / log10(2)) .sum }
900Entropy
16scala
imyox
null
905Empty program
1lua
wdsea
import Foundation func entropy(of x: String) -> Double { return x .reduce(into: [String: Int](), {cur, char in cur[String(char), default: 0] += 1 }) .values .map({i in Double(i) / Double(x.count) } as (Int) -> Double) .map({p in -p * log2(p) } as (Double) -> Double) .reduce(0.0, +) } print(entropy(of: "1223334444"))
900Entropy
17swift
qtfxg
def factorial_recursive(n) n.zero?? 1: n * factorial_recursive(n - 1) end def factorial_tail_recursive(n, prod = 1) n.zero?? prod: factorial_tail_recursive(n - 1, prod * n) end def factorial_iterative(n) (2...n).each { |i| n *= i } n.zero?? 1: n end def factorial_inject(n) (1..n).inject(1){ |prod, i| prod * i } end def factorial_reduce(n) (2..n).reduce(1,:*) end require 'benchmark' n = 400 m = 10000 Benchmark.bm(16) do |b| b.report('recursive:') {m.times {factorial_recursive(n)}} b.report('tail recursive:') {m.times {factorial_tail_recursive(n)}} b.report('iterative:') {m.times {factorial_iterative(n)}} b.report('inject:') {m.times {factorial_inject(n)}} b.report('reduce:') {m.times {factorial_reduce(n)}} end
882Factorial
14ruby
y486n
for(0..10){ print "$_ is ", qw(even odd)[$_ % 2],"\n"; }
902Even or odd
2perl
ubjvr
if ($s eq "") { print "The string is empty"; } if ($s ne "") { print "The string is not empty"; }
904Empty string
2perl
mg2yz
<?php $str = ''; if (empty($str)) { ... } if (! empty($str)) { ... } if ($str == '') { ... } if ($str != '') { ... } if (strlen($str) == 0) { ... } if (strlen($str) != 0) { ... }
904Empty string
12php
ensa9
fn factorial_recursive (n: u64) -> u64 { match n { 0 => 1, _ => n * factorial_recursive(n-1) } } fn factorial_iterative(n: u64) -> u64 { (1..=n).product() } fn main () { for i in 1..10 { println!("{}", factorial_recursive(i)) } for i in 1..10 { println!("{}", factorial_iterative(i)) } }
882Factorial
15rust
mgoya
echo (2 & 1)? 'odd' : 'even'; echo (3 & 1)? 'odd' : 'even'; echo (3 % 2)? 'odd' : 'even'; echo (4 % 2)? 'odd' : 'even';
902Even or odd
12php
86t0m
def factorial(n: Int)={ var res = 1 for(i <- 1 to n) res *= i res }
882Factorial
16scala
ljdcq
s = '' s = str() if not s or s == '': print() if len(s) == 0: print() else: print() def emptystring(s): if isinstance(s, (''.__class__ , u''.__class__) ): if len(s) == 0: return True else return False elif s is None: return True
904Empty string
3python
9rvmf
s <- '' if (s == '') cat('Empty\n') if (nchar(s) == 0) cat('Empty\n') if (s!= '') cat('Not empty\n') if (nchar(s) > 0) cat('Not empty\n')
904Empty string
13r
3u9zt
>>> def is_odd(i): return bool(i & 1) >>> def is_even(i): return not is_odd(i) >>> [(j, is_odd(j)) for j in range(10)] [(0, False), (1, True), (2, False), (3, True), (4, False), (5, True), (6, False), (7, True), (8, False), (9, True)] >>> [(j, is_even(j)) for j in range(10)] [(0, True), (1, False), (2, True), (3, False), (4, True), (5, False), (6, True), (7, False), (8, True), (9, False)] >>>
902Even or odd
3python
5phux
typedef int bool; int compareInts(const void *a, const void *b) { int aa = *(int *)a; int bb = *(int *)b; return aa - bb; } bool contains(int a[], int b, size_t len) { int i; for (i = 0; i < len; ++i) { if (a[i] == b) return TRUE; } return FALSE; } int gcd(int a, int b) { while (a != b) { if (a > b) a -= b; else b -= a; } return a; } bool areSame(int s[], int t[], size_t len) { int i; qsort(s, len, sizeof(int), compareInts); qsort(t, len, sizeof(int), compareInts); for (i = 0; i < len; ++i) { if (s[i] != t[i]) return FALSE; } return TRUE; } int main() { int s, n, i; int starts[5] = {2, 5, 7, 9, 10}; int ekg[5][LIMIT]; for (s = 0; s < 5; ++s) { ekg[s][0] = 1; ekg[s][1] = starts[s]; for (n = 2; n < LIMIT; ++n) { for (i = 2; ; ++i) { if (!contains(ekg[s], i, n) && gcd(ekg[s][n - 1], i) > 1) { ekg[s][n] = i; break; } } } printf(, starts[s]); for (i = 0; i < 30; ++i) printf(, ekg[s][i]); printf(); } for (i = 2; i < LIMIT; ++i) { if (ekg[1][i] == ekg[2][i] && areSame(ekg[1], ekg[2], i)) { printf(, i + 1); return 0; } } printf(, LIMIT); return 0; }
906EKG sequence convergence
5c
ljvcy
is.even <- function(x)!is.odd(x) is.odd <- function(x) intToBits(x)[1] == 1 is.odd <- function(x) x%% 2 == 1
902Even or odd
13r
ljgce
package main import ( "fmt" "sort" ) func contains(a []int, b int) bool { for _, j := range a { if j == b { return true } } return false } func gcd(a, b int) int { for a != b { if a > b { a -= b } else { b -= a } } return a } func areSame(s, t []int) bool { le := len(s) if le != len(t) { return false } sort.Ints(s) sort.Ints(t) for i := 0; i < le; i++ { if s[i] != t[i] { return false } } return true } func main() { const limit = 100 starts := [5]int{2, 5, 7, 9, 10} var ekg [5][limit]int for s, start := range starts { ekg[s][0] = 1 ekg[s][1] = start for n := 2; n < limit; n++ { for i := 2; ; i++ {
906EKG sequence convergence
0go
xfswf
import Data.List (findIndex, isPrefixOf, tails) import Data.Maybe (fromJust) seqEKGRec :: Int -> Int -> [Int] -> [Int] seqEKGRec _ 0 l = l seqEKGRec k n [] = seqEKGRec k (n - 2) [k, 1] seqEKGRec k n l@(h: t) = seqEKGRec k (pred n) ( head ( filter (((&&) . flip notElem l) <*> ((1 <) . gcd h)) [2 ..] ): l ) seqEKG :: Int -> Int -> [Int] seqEKG k n = reverse (seqEKGRec k n []) main :: IO () main = mapM_ ( \x -> putStr "EKG (" >> (putStr . show $ x) >> putStr ") is " >> print (seqEKG x 20) ) [2, 5, 7, 9, 10] >> putStr "EKG(5) and EKG(7) converge at " >> print ( succ $ fromJust $ findIndex (isPrefixOf (replicate 20 True)) ( tails ( zipWith (==) (seqEKG 7 80) (seqEKG 5 80) ) ) )
906EKG sequence convergence
8haskell
y4966
null
905Empty program
2perl
c7v9a
main.
905Empty program
12php
xf0w5
s = s = String.new s = ; s.clear
904Empty string
14ruby
lj5cl
print p -5.upto(5).select(&:even?) print p -5.upto(5).select(&:odd?)
902Even or odd
14ruby
gab4q
import java.util.ArrayList; import java.util.Collections; import java.util.HashMap; import java.util.List; import java.util.Map; public class EKGSequenceConvergence { public static void main(String[] args) { System.out.println("Calculate and show here the first 10 members of EKG[2], EKG[5], EKG[7], EKG[9] and EKG[10]."); for ( int i : new int[] {2, 5, 7, 9, 10} ) { System.out.printf("EKG[%d] =%s%n", i, ekg(i, 10)); } System.out.println("Calculate and show here at which term EKG[5] and EKG[7] converge."); List<Integer> ekg5 = ekg(5, 100); List<Integer> ekg7 = ekg(7, 100); for ( int i = 1 ; i < ekg5.size() ; i++ ) { if ( ekg5.get(i) == ekg7.get(i) && sameSeq(ekg5, ekg7, i)) { System.out.printf("EKG[%d](%d) = EKG[%d](%d) =%d, and are identical from this term on%n", 5, i+1, 7, i+1, ekg5.get(i)); break; } } }
906EKG sequence convergence
9java
dctn9
let s = ""; println!("is empty: {}", s.is_empty()); let t = "x"; println!("is empty: {}", t.is_empty()); let a = String::new(); println!("is empty: {}", a.is_empty()); let b = "x".to_string(); println!("is empty: {}", b.is_empty()); println!("is not empty: {}",!b.is_empty());
904Empty string
15rust
2h4lt
null
904Empty string
16scala
5p7ut
use strict; sub halve { int((shift) / 2); } sub double { (shift) * 2; } sub iseven { ((shift) & 1) == 0; } sub ethiopicmult { my ($plier, $plicand, $tutor) = @_; print "ethiopic multiplication of $plier and $plicand\n" if $tutor; my $r = 0; while ($plier >= 1) { $r += $plicand unless iseven($plier); if ($tutor) { print "$plier, $plicand ", (iseven($plier) ? " struck" : " kept"), "\n"; } $plier = halve($plier); $plicand = double($plicand); } return $r; } print ethiopicmult(17,34, 1), "\n";
901Ethiopian multiplication
2perl
03ts4
let is_odd = |x: i32| x & 1 == 1; let is_even = |x: i32| x & 1 == 0;
902Even or odd
15rust
repg5
def isEven( v:Int ) : Boolean = v % 2 == 0 def isOdd( v:Int ) : Boolean = v % 2 != 0
902Even or odd
16scala
hqeja
null
906EKG sequence convergence
11kotlin
03osf
<?php function halve($x) { return floor($x/2); } function double($x) { return $x*2; } function iseven($x) { return !($x & 0x1); } function ethiopicmult($plier, $plicand, $tutor) { if ($tutor) echo ; $r = 0; while($plier >= 1) { if ( !iseven($plier) ) $r += $plicand; if ($tutor) echo , (iseven($plier)? : ), ; $plier = halve($plier); $plicand = double($plicand); } return $r; } echo ethiopicmult(17, 34, true), ; ?>
901Ethiopian multiplication
12php
5pkus
void wait_for_zombie(int s) { while(waitpid(-1, NULL, WNOHANG) > 0) ; } void echo_lines(int csock) { char buf[BUF_LEN]; int r; while( (r = read(csock, buf, BUF_LEN)) > 0 ) { (void)write(csock, buf, r); } exit(EXIT_SUCCESS); } void take_connections_forever(int ssock) { for(;;) { struct sockaddr addr; socklen_t addr_size = sizeof(addr); int csock; csock = accept(ssock, &addr, &addr_size); if ( csock == -1 ) { perror(); } else if ( fork() == 0 ) { close(ssock); echo_lines(csock); } else { close(csock); } } } int main() { struct addrinfo hints, *res; struct sigaction sa; int sock; memset(&hints, 0, sizeof(struct addrinfo)); hints.ai_family = AF_UNSPEC; hints.ai_socktype = SOCK_STREAM; hints.ai_flags = AI_PASSIVE; if ( getaddrinfo(NULL, PORT_STR, &hints, &res) != 0 ) { perror(); exit(EXIT_FAILURE); } if ( (sock = socket(res->ai_family, res->ai_socktype, res->ai_protocol)) == -1 ) { perror(); exit(EXIT_FAILURE); } sa.sa_handler = wait_for_zombie; sigemptyset(&sa.sa_mask); sa.sa_flags = SA_RESTART; if ( sigaction(SIGCHLD, &sa, NULL) == -1 ) { perror(); exit(EXIT_FAILURE); } if ( bind(sock, res->ai_addr, res->ai_addrlen) != 0 ) { perror(); exit(EXIT_FAILURE); } freeaddrinfo(res); if ( listen(sock, MAX_ENQUEUED) != 0 ) { perror(); exit(EXIT_FAILURE); } take_connections_forever(sock); return EXIT_SUCCESS; }
907Echo server
5c
7wjrg
package main import ( "fmt" "strings" ) func btoi(b bool) int { if b { return 1 } return 0 } func evolve(l, rule int) { fmt.Printf(" Rule #%d:\n", rule) cells := "O" for x := 0; x < l; x++ { cells = addNoCells(cells) width := 40 + (len(cells) >> 1) fmt.Printf("%*s\n", width, cells) cells = step(cells, rule) } } func step(cells string, rule int) string { newCells := new(strings.Builder) for i := 0; i < len(cells)-2; i++ { bin := 0 b := uint(2) for n := i; n < i+3; n++ { bin += btoi(cells[n] == 'O') << b b >>= 1 } a := '.' if rule&(1<<uint(bin)) != 0 { a = 'O' } newCells.WriteRune(a) } return newCells.String() } func addNoCells(cells string) string { l, r := "O", "O" if cells[0] == 'O' { l = "." } if cells[len(cells)-1] == 'O' { r = "." } cells = l + cells + r cells = l + cells + r return cells } func main() { for _, r := range []int{90, 30} { evolve(25, r) fmt.Println() } }
908Elementary cellular automaton/Infinite length
0go
jxj7d
use List::Util qw(none sum); sub gcd { my ($u,$v) = @_; $v ? gcd($v, $u%$v) : abs($u) } sub shares_divisors_with { gcd( $_[0], $_[1]) > 1 } sub EKG { my($n,$limit) = @_; my @ekg = (1, $n); while (@ekg < $limit) { for my $i (2..1e18) { next unless none { $_ == $i } @ekg and shares_divisors_with($ekg[-1], $i); push(@ekg, $i) and last; } } @ekg; } sub converge_at { my($n1,$n2) = @_; my $max = 100; my @ekg1 = EKG($n1,$max); my @ekg2 = EKG($n2,$max); do { return $_+1 if $ekg1[$_] == $ekg2[$_] && sum(@ekg1[0..$_]) == sum(@ekg2[0..$_])} for 2..$max; return "(no convergence in $max terms)"; } print "EKG($_): " . join(' ', EKG($_,10)) . "\n" for 2, 5, 7, 9, 10; print "EKGs of 5 & 7 converge at term " . converge_at(5, 7) . "\n"
906EKG sequence convergence
2perl
5pgu2
import Control.Comonad import Data.InfList (InfList (..), (+++)) import qualified Data.InfList as Inf data Cells a = Cells (InfList a) a (InfList a) deriving Functor view n (Cells l x r) = reverse (Inf.take n l) ++ [x] ++ (Inf.take n r) fromList [] = fromList [0] fromList (x:xs) = let zeros = Inf.repeat 0 in Cells zeros x (xs +++ zeros)
908Elementary cellular automaton/Infinite length
8haskell
oyo8p
var s = "" if s.isEmpty {
904Empty string
17swift
c7u9t
1 QUIT
905Empty program
3python
ljucv
(use '[clojure.contrib.server-socket :only (create-server)]) (use '[clojure.contrib.duck-streams :only (read-lines write-lines)]) (defn echo [input output] (write-lines (java.io.PrintWriter. output true) (read-lines input))) (create-server 12321 echo)
907Echo server
6clojure
p81bd
null
908Elementary cellular automaton/Infinite length
11kotlin
b0bkb
from itertools import count, islice, takewhile from math import gcd def EKG_gen(start=2): c = count(start + 1) last, so_far = start, list(range(2, start)) yield 1, [] yield last, [] while True: for index, sf in enumerate(so_far): if gcd(last, sf) > 1: last = so_far.pop(index) yield last, so_far[::] break else: so_far.append(next(c)) def find_convergence(ekgs=(5,7)): ekg = [EKG_gen(n) for n in ekgs] for e in ekg: next(e) return 2 + len(list(takewhile(lambda state: not all(state[0] == s for s in state[1:]), zip(*ekg)))) if __name__ == '__main__': for start in 2, 5, 7, 9, 10: print(f, str([n[0] for n in islice(EKG_gen(start), 10)])[1: -1]) print(f)
906EKG sequence convergence
3python
41r5k
null
905Empty program
13r
y4c6h
sub evolve { my ($rule, $pattern) = @_; my $offset = 0; while (1) { my ($l, $r, $st); $pattern =~ s/^((.)\g2*)/$2$2/ and $l = $2, $offset -= length($2); $pattern =~ s/(.)\g1*$/$1$1/ and $r = $1; $st = $pattern; $pattern =~ tr/01/. printf "%5d|%s%s\n", $offset, ' ' x (40 + $offset), $pattern; $pattern = join '', map(1 & ($rule>>oct "0b$_"), $l x 3, map(substr($st, $_, 3), 0 .. length($st)-3), $r x 3); } } evolve(90, "010");
908Elementary cellular automaton/Infinite length
2perl
65636
-- Setup a table with some integers CREATE TABLE ints(INT INTEGER); INSERT INTO ints VALUES (-1); INSERT INTO ints VALUES (0); INSERT INTO ints VALUES (1); INSERT INTO ints VALUES (2); -- Are they even or odd? SELECT INT, CASE MOD(INT, 2) WHEN 0 THEN 'Even' ELSE 'Odd' END FROM ints;
902Even or odd
19sql
p8qb1
package main import "fmt" func main() { tree := eertree([]byte("eertree")) fmt.Println(subPalindromes(tree)) } type edges map[byte]int type node struct { length int edges suffix int } const evenRoot = 0 const oddRoot = 1 func eertree(s []byte) []node { tree := []node{ evenRoot: {length: 0, suffix: oddRoot, edges: edges{}}, oddRoot: {length: -1, suffix: oddRoot, edges: edges{}}, } suffix := oddRoot var n, k int for i, c := range s { for n = suffix; ; n = tree[n].suffix { k = tree[n].length if b := i - k - 1; b >= 0 && s[b] == c { break } } if e, ok := tree[n].edges[c]; ok { suffix = e continue } suffix = len(tree) tree = append(tree, node{length: k + 2, edges: edges{}}) tree[n].edges[c] = suffix if tree[suffix].length == 1 { tree[suffix].suffix = 0 continue } for { n = tree[n].suffix if b := i - tree[n].length - 1; b >= 0 && s[b] == c { break } } tree[suffix].suffix = tree[n].edges[c] } return tree } func subPalindromes(tree []node) (s []string) { var children func(int, string) children = func(n int, p string) { for c, n := range tree[n].edges { c := string(c) p := c + p + c s = append(s, p) children(n, p) } } children(0, "") for c, n := range tree[1].edges { c := string(c) s = append(s, c) children(n, c) } return }
909Eertree
0go
uk2vt
typedef unsigned long long ull; void evolve(ull state, int rule) { int i; ull st; printf(, rule); do { st = state; for (i = N; i--; ) putchar(st & B(i) ? ' putchar('\n'); for (state = i = 0; i < N; i++) if (rule & B(7 & (st>>(i-1) | st<<(N+1-i)))) state |= B(i); } while (st != state); } int main(int argc, char **argv) { evolve(B(N/2), 90); evolve(B(N/4)|B(N - N/4), 30); return 0; }
910Elementary cellular automaton
5c
d9onv
def _notcell(c): return '0' if c == '1' else '1' def eca_infinite(cells, rule): lencells = len(cells) rulebits = '{0:08b}'.format(rule) neighbours2next = {'{0:03b}'.format(n):rulebits[::-1][n] for n in range(8)} c = cells while True: yield c c = _notcell(c[0])*2 + c + _notcell(c[-1])*2 c = ''.join(neighbours2next[c[i-1:i+2]] for i in range(1,len(c) - 1)) if __name__ == '__main__': lines = 25 for rule in (90, 30): print('\nRule:%i'% rule) for i, c in zip(range(lines), eca_infinite('1', rule)): print('%2i:%s%s'% (i, ' '*(lines - i), c.replace('0', '.').replace('1', '
908Elementary cellular automaton/Infinite length
3python
y4y6q
null
905Empty program
14ruby
vk42n
import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; public class Eertree { public static void main(String[] args) { List<Node> tree = eertree("eertree"); List<String> result = subPalindromes(tree); System.out.println(result); } private static class Node { int length; Map<Character, Integer> edges = new HashMap<>(); int suffix; public Node(int length) { this.length = length; } public Node(int length, Map<Character, Integer> edges, int suffix) { this.length = length; this.edges = edges != null ? edges : new HashMap<>(); this.suffix = suffix; } } private static final int EVEN_ROOT = 0; private static final int ODD_ROOT = 1; private static List<Node> eertree(String s) { List<Node> tree = new ArrayList<>(); tree.add(new Node(0, null, ODD_ROOT)); tree.add(new Node(-1, null, ODD_ROOT)); int suffix = ODD_ROOT; int n, k; for (int i = 0; i < s.length(); ++i) { char c = s.charAt(i); for (n = suffix; ; n = tree.get(n).suffix) { k = tree.get(n).length; int b = i - k - 1; if (b >= 0 && s.charAt(b) == c) { break; } } if (tree.get(n).edges.containsKey(c)) { suffix = tree.get(n).edges.get(c); continue; } suffix = tree.size(); tree.add(new Node(k + 2)); tree.get(n).edges.put(c, suffix); if (tree.get(suffix).length == 1) { tree.get(suffix).suffix = 0; continue; } while (true) { n = tree.get(n).suffix; int b = i - tree.get(n).length - 1; if (b >= 0 && s.charAt(b) == c) { break; } } tree.get(suffix).suffix = tree.get(n).edges.get(c); } return tree; } private static List<String> subPalindromes(List<Node> tree) { List<String> s = new ArrayList<>(); subPalindromes_children(0, "", tree, s); for (Map.Entry<Character, Integer> cm : tree.get(1).edges.entrySet()) { String ct = String.valueOf(cm.getKey()); s.add(ct); subPalindromes_children(cm.getValue(), ct, tree, s); } return s; }
909Eertree
9java
kqjhm
func isEven(n:Int) -> Bool {
902Even or odd
17swift
41k5g
def notcell(c) c.tr('01','10') end def eca_infinite(cells, rule) neighbours2next = Hash[8.times.map{|i|[%i, [rule[i]]]}] c = cells Enumerator.new do |y| loop do y << c c = notcell(c[0])*2 + c + notcell(c[-1])*2 c = (1..c.size-2).map{|i| neighbours2next[c[i-1..i+1]]}.join end end end if __FILE__ == $0 lines = 25 for rule in [90, 30] puts % rule for i, c in (0...lines).zip(eca_infinite('1', rule)) puts '%2i:%s%s' % [i, ' '*(lines - i), c.tr('01', '. end end end
908Elementary cellular automaton/Infinite length
14ruby
9r9mz
fn main(){}
905Empty program
15rust
ubgvj
object emptyProgram extends App {}
905Empty program
16scala
gaj4i
null
909Eertree
11kotlin
g154d
func factorial(_ n: Int) -> Int { return n < 2? 1: (2...n).reduce(1, *) }
882Factorial
17swift
6503j
package main import ( "fmt" "rcu" ) func main() { limit := int(1e9) gapStarts := make(map[int]int) primes := rcu.Primes(limit * 5) for i := 1; i < len(primes); i++ { gap := primes[i] - primes[i-1] if _, ok := gapStarts[gap]; !ok { gapStarts[gap] = primes[i-1] } } pm := 10 gap1 := 2 for { for _, ok := gapStarts[gap1]; !ok; { gap1 += 2 } start1 := gapStarts[gap1] gap2 := gap1 + 2 if _, ok := gapStarts[gap2]; !ok { gap1 = gap2 + 2 continue } start2 := gapStarts[gap2] diff := start2 - start1 if diff < 0 { diff = -diff } if diff > pm { cpm := rcu.Commatize(pm) cst1 := rcu.Commatize(start1) cst2 := rcu.Commatize(start2) cd := rcu.Commatize(diff) fmt.Printf("Earliest difference >%s between adjacent prime gap starting primes:\n", cpm) fmt.Printf("Gap%d starts at%s, gap%d starts at%s, difference is%s.\n\n", gap1, cst1, gap2, cst2, cd) if pm == limit { break } pm *= 10 } else { gap1 = gap2 } } }
911Earliest difference between prime gaps
0go
9g3mt
import java.util.HashMap; import java.util.Map; public class PrimeGaps { private Map<Integer, Integer> gapStarts = new HashMap<>(); private int lastPrime; private PrimeGenerator primeGenerator = new PrimeGenerator(1000, 500000); public static void main(String[] args) { final int limit = 100000000; PrimeGaps pg = new PrimeGaps(); for (int pm = 10, gap1 = 2;;) { int start1 = pg.findGapStart(gap1); int gap2 = gap1 + 2; int start2 = pg.findGapStart(gap2); int diff = start2 > start1 ? start2 - start1 : start1 - start2; if (diff > pm) { System.out.printf( "Earliest difference >%,d between adjacent prime gap starting primes:\n" + "Gap%,d starts at%,d, gap%,d starts at%,d, difference is%,d.\n\n", pm, gap1, start1, gap2, start2, diff); if (pm == limit) break; pm *= 10; } else { gap1 = gap2; } } } private int findGapStart(int gap) { Integer start = gapStarts.get(gap); if (start != null) return start; for (;;) { int prev = lastPrime; lastPrime = primeGenerator.nextPrime(); int diff = lastPrime - prev; gapStarts.putIfAbsent(diff, prev); if (diff == gap) return prev; } } }
911Earliest difference between prime gaps
9java
g1v4m
void eop_ for_i for_j c[i][j] = a[i][j] _op_ b[i][j];} OPM(add, +);OPM(sub, -);OPM(mul, *);OPM(div, /); void eop_s_ for_i for_j {x = a[i][j]; b[i][j] = res;}} OPS(mul, x*s);OPS(div, x/s);OPS(add, x+s);OPS(sub, x-s);OPS(pow, pow(x, s));
912Element-wise operations
5c
xdpwu
typedef int64_t integer; struct Pair { integer md; int tc; }; integer mod(integer x, integer y) { return ((x % y) + y) % y; } integer gcd(integer a, integer b) { if (0 == a) return b; if (0 == b) return a; if (a == b) return a; if (a > b) return gcd(a - b, b); return gcd(a, b - a); } void write0(bool show, char *str) { if (show) { printf(str); } } void write1(bool show, char *format, integer a) { if (show) { printf(format, a); } } void write2(bool show, char *format, integer a, integer b) { if (show) { printf(format, a, b); } } struct Pair egyptian(integer x, integer y, bool show) { struct Pair ret; integer acc = 0; bool first = true; ret.tc = 0; ret.md = 0; write2(show, , x, y); while (x > 0) { integer z = (y + x - 1) / x; if (z == 1) { acc++; } else { if (acc > 0) { write1(show, , acc); first = false; acc = 0; ret.tc++; } else if (first) { first = false; } else { write0(show, ); } if (z > ret.md) { ret.md = z; } write1(show, , z); ret.tc++; } x = mod(-y, x); y = y * z; } if (acc > 0) { write1(show, , acc); ret.tc++; } write0(show, ); return ret; } int main() { struct Pair p; integer nm = 0, dm = 0, dmn = 0, dmd = 0, den = 0;; int tm, i, j; egyptian(43, 48, true); egyptian(5, 121, true); egyptian(2014, 59, true); tm = 0; for (i = 1; i < 100; i++) { for (j = 1; j < 100; j++) { p = egyptian(i, j, false); if (p.tc > tm) { tm = p.tc; nm = i; dm = j; } if (p.md > den) { den = p.md; dmn = i; dmd = j; } } } printf(, nm, dm, tm); printf(, dmn, dmd); egyptian(dmn, dmd, true); return 0; }
913Egyptian fractions
5c
y5d6f
tutor = True def halve(x): return x def double(x): return x * 2 def even(x): return not x% 2 def ethiopian(multiplier, multiplicand): if tutor: print(% (multiplier, multiplicand)) result = 0 while multiplier >= 1: if even(multiplier): if tutor: print(% (multiplier, multiplicand)) else: if tutor: print(% (multiplier, multiplicand)) result += multiplicand multiplier = halve(multiplier) multiplicand = double(multiplicand) if tutor: print() return result
901Ethiopian multiplication
3python
86z0o
$str = "eertree"; for $n (1 .. length($str)) { for $m (1 .. length($str)) { $strrev = ""; $strpal = substr($str, $n-1, $m); if ($strpal ne "") { for $p (reverse 1 .. length($strpal)) { $strrev .= substr($strpal, $p-1, 1); } ($strpal eq $strrev) and push @pal, $strpal; } } } print join ' ', grep {not $seen{$_}++} @pal, "\n";
909Eertree
2perl
nmoiw
use strict; use warnings; use ntheory qw( primes ); my @gaps; my $primeref = primes( 1e9 ); for my $i ( 2 .. $ { my $diff = $primeref->[$i] - $primeref->[$i - 1]; $gaps[ $diff >> 1 ] //= $primeref->[$i - 1]; } my %first; for my $i ( 1 .. $ { defined $gaps[$i] && defined $gaps[$i-1] or next; my $diff = abs $gaps[$i] - $gaps[$i-1]; for my $m ( map 10 ** $_, 1 .. 10 ) { $diff > $m and !$first{$m}++ and print "above $m gap @{[$i * 2 - 2 ]} abs( $gaps[$i-1] - $gaps[$i] )\n"; } }
911Earliest difference between prime gaps
2perl
steq3
halve <- function(a) floor(a/2) double <- function(a) a*2 iseven <- function(a) (a%%2)==0 ethiopicmult <- function(plier, plicand, tutor=FALSE) { if (tutor) { cat("ethiopic multiplication of", plier, "and", plicand, "\n") } result <- 0 while(plier >= 1) { if (!iseven(plier)) { result <- result + plicand } if (tutor) { cat(plier, ", ", plicand, " ", ifelse(iseven(plier), "struck", "kept"), "\n", sep="") } plier <- halve(plier) plicand <- double(plicand) } result } print(ethiopicmult(17, 34, TRUE))
901Ethiopian multiplication
13r
xfnw2
from primesieve import primes LIMIT = 10**9 pri = primes(LIMIT * 5) gapstarts = {} for i in range(1, len(pri)): if pri[i] - pri[i - 1] not in gapstarts: gapstarts[pri[i] - pri[i - 1]] = pri[i - 1] PM, GAP1, = 10, 2 while True: while GAP1 not in gapstarts: GAP1 += 2 start1 = gapstarts[GAP1] GAP2 = GAP1 + 2 if GAP2 not in gapstarts: GAP1 = GAP2 + 2 continue start2 = gapstarts[GAP2] diff = abs(start2 - start1) if diff > PM: print(f) print(f) if PM == LIMIT: break PM *= 10 else: GAP1 = GAP2
911Earliest difference between prime gaps
3python
0zwsq
(defn initial-mtx [i1 i2 value] (vec (repeat i1 (vec (repeat i2 value))))) (defn operation [f mtx1 mtx2] (if (vector? mtx1) (vec (map #(vec (map f %1 %2)) mtx1 mtx2))) (recur f (initial-mtx (count mtx2) (count (first mtx2)) mtx1) mtx2) ))
912Element-wise operations
6clojure
o6x8j
uint64_t egyptian_division(uint64_t dividend, uint64_t divisor, uint64_t *remainder) { static uint64_t powers[64]; static uint64_t doublings[64]; int i; for(i = 0; i < 64; i++) { powers[i] = 1 << i; doublings[i] = divisor << i; if(doublings[i] > dividend) break; } uint64_t answer = 0; uint64_t accumulator = 0; for(i = i - 1; i >= 0; i--) { if(accumulator + doublings[i] <= dividend) { accumulator += doublings[i]; answer += powers[i]; } } if(remainder) *remainder = dividend - accumulator; return answer; } void go(uint64_t a, uint64_t b) { uint64_t x, y; x = egyptian_division(a, b, &y); printf(, a, b, x, y); assert(a == b * x + y); } int main(void) { go(580, 32); }
914Egyptian division
5c
vh62o