Created
January 29, 2014 10:25
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ICPC 2007 Asia Region, Problem B
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exception NotFoundException | |
(* | |
fun get_primes n = | |
let | |
open Array | |
fun check array = | |
let | |
fun check_one n array = | |
if not (sub (!array, n)) then () | |
else modifyi (fn (i, x) => | |
if i <= n then x | |
else x andalso (i mod n <> 0)) (!array) | |
val i = ref 1 | |
in | |
while (i := !i + 1; !i < Array.length (!array)) do | |
check_one (!i) array; | |
array | |
end | |
val prime_array = !(check (ref (Array.array (n, true)))) | |
fun collect_primes 0 array result = result | |
| collect_primes n array result = | |
if sub (array, n-1) | |
then collect_primes (n-1) array ((n-1)::result) | |
else collect_primes (n-1) array result | |
in | |
List.filter (fn x => x >= 2) (collect_primes n prime_array nil) | |
end | |
*) | |
fun get_primes n = | |
let | |
val l = List.tabulate (n, fn n => n + 2) | |
fun get_primes_sub nil result = result | |
| get_primes_sub (x::xs) result = | |
get_primes_sub (List.filter (fn n => n mod x <> 0) xs) (x::result) | |
in | |
List.rev (get_primes_sub l nil) | |
end | |
fun solve_one n primes ppairs = | |
case List.find (fn x => x = n) primes of | |
SOME x => x | |
| NONE => case List.find (fn (p, q) => p <= n andalso n < q) ppairs of | |
SOME (p, q) => q - p | |
| NONE => raise NotFoundException | |
fun solve file = | |
let | |
open TextIO | |
val primes = get_primes 1299720 | |
val ppairs = ListPair.zip (primes, tl primes) | |
val f = openIn file | |
val line = ref NONE | |
in | |
while (line := inputLine f; !line <> SOME "0\n") do | |
let | |
val n = Int.fromString (valOf (!line)) | |
in | |
case n of | |
SOME v => | |
output (stdOut, | |
Int.toString (solve_one v primes ppairs) ^ "\n") | |
| NONE => raise NotFoundException | |
end; | |
closeIn f | |
end |
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10 | |
11 | |
27 | |
2 | |
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