Add tasks for all the new languages
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;; does p include a 0 in its decimal representation ?
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(define (nozero? n) (= -1 (string-index (number->string n) "0")))
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;; right truncate : p and successive quotients by 10 (integer division) must be primes
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(define (right-trunc p) (unless (zero? p)
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(and (prime? p) (right-trunc (quotient p 10)))))
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(remember 'right-trunc)
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;; left truncate : p and successive modulo by 10, 100, .. must be prime
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(define (left-trunc p (mod 1000000))
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(unless (< mod 1)
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(and (prime? p) (nozero? p) (left-trunc (modulo p mod) (/ mod 10)))))
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;; start from 999999. stop on first found
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(define (fact-trunc trunc)
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(for ((p (in-range 999999 100000 -1))) #:break (when (trunc p) (writeln p) #t)))
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(fact-trunc left-trunc)
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998443
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(fact-trunc right-trunc)
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739399
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34
Task/Truncatable-primes/Nim/truncatable-primes.nim
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34
Task/Truncatable-primes/Nim/truncatable-primes.nim
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import sets, strutils, algorithm
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proc primes(n): seq[int64] =
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result = @[]
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var multiples = initSet[int64]()
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for i in 2..n:
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if i notin multiples:
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result.add i
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for j in countup(i*i, n, i.int):
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multiples.incl j
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proc truncatablePrime(n): tuple[left: int64, right: int64] =
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var
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primelist: seq[string] = @[]
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for x in primes(n):
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primelist.add($x)
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reverse primelist
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var primeset = toSet primelist
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for n in primelist:
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var alltruncs = initSet[string]()
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for i in 0..n.len:
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alltruncs.incl n[1..n.high]
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if alltruncs <= primeset:
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result.left = parseInt(n)
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break
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for n in primelist:
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var alltruncs = initSet[string]()
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for i in 0..n.len:
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alltruncs.incl n[0..i]
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if alltruncs <= primeset:
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result.right = parseInt(n)
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break
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echo truncatablePrime(1000000'i64)
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14
Task/Truncatable-primes/Sidef/truncatable-primes.sidef
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14
Task/Truncatable-primes/Sidef/truncatable-primes.sidef
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func t_prime(n, left=true) {
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var p = %w(2 3 5 7);
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var f = (
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left ? { '1'..'9' ~X+ p }
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: { p ~X+ '1'..'9' }
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)
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n.times {
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p = f().grep{ .to_i.is_prime }
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}
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p.map{.to_i}.max
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}
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say t_prime(5, left: true)
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say t_prime(5, left: false)
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