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Subdivide A Problem To A Pool Of Workers (No Shared Data)

Take a hard to compute problem and split it up between multiple worker threads. In your solution, try to fully utilize available cores or processors. (I'm looking at you, Python!)

Note: In this question, there should be no need for shared state between worker threads while the problem is being solved. Only after every thread completes computation are the answers recombined into a single output.

Example:

-Input-

(In python syntax)

["ab", "we", "tfe", "aoj"]

In other words, a list of random strings.

-Output-

(In python syntax)

[ ["ab", "ba", "aa", "bb", "a", "b"], ["we", "ew", "ww", "ee", "w", "e"], ...

In other words, all possible permutations of each input string are computed.
DiskEdit
python python 2.7
import multiprocessing
import itertools

task_input = ["ab", "we", "tfe", "aoj"]

def all_subperms(s):
return set(reduce(
list.__add__,
([''.join(p) for p in itertools.product(s, repeat=r) if p]
for r in xrange(len(s) + 1))))

p = multiprocessing.Pool(len(task_input))
task_output = p.map(all_subperms, task_input)
print map(list, task_output)
ExpandDiskEdit
clojure
(defn perm-chars [l]
"Returns a list of all possible permutations of strings with the
same size as the input string. This function will return duplicates
if the same character occurs multiple time in the string.
Ex: ab -> (aa ab ba ab)"
(if (string? l)
(recur (repeat (count l) l))
(let [s (first l)
r (rest l)]
(if (empty? r)
(map identity s)
(->> s
(map (fn [c] (map #(str c %) (perm-chars r))))
(flatten))))))

(defn perm-sz [s]
"Returns a list of all possible permutations of the input
string. May return duplicats.
Ex: ab -> (aa ab ba bb a b a b)"
(if-not (empty? s)
(let [r (perm-chars s)]
(if (= (count s) 1)
r
(->> r
(map #(perm-sz (apply str (rest %))))
(flatten)
(lazy-cat r))))))


(defn perm [s]
"Returns a list of all possible permutations of the input
string. The list of string is sorted and does not contain
duplicates.
Ex: ab -> (a aa ab b ba bb)"
(->> (reduce (fn [s e] (conj s e)) #{} (perm-sz s))
(map str)
(sort)))

(println (pmap perm ["ab" "we" "tfe" "aoj"]))
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clojure 1.2.1
(require 'cojure.contrib.combinatorics)

(pmap (fn [str]
(apply concat (map #(selections str (inc %))
(range (count str)))))
["ab", "we", "tfe", "aoj"])

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