Created
April 10, 2014 20:40
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Distinct terms in a multiplication table
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;; Project Euler | |
;; | |
;; Problem 466 | |
;; https://projecteuler.net/problem=466 | |
;; Find P(64,10e16) | |
(defn distinct-mult [a b] | |
(loop [sol #{} | |
n 0 | |
x (range 1 (inc b)) | |
y (range 1 (inc a))] | |
(if (seq x) | |
(recur (apply conj sol (map #(* % (first x)) y)) | |
(inc n) | |
(rest x) | |
y) | |
sol))) | |
(time | |
(count (distinct-mult 32 1e3))) | |
;; "Elapsed time: 20.41 msecs" | |
;; => 13990 | |
(time | |
(count (distinct-mult 32 1e4))) | |
;; "Elapsed time: 385.757 msecs" | |
;; => 138129 | |
(time | |
(count (distinct-mult 32 1e5))) | |
;; "Elapsed time: 4455.01 msecs" | |
;; => 1382819 | |
(time | |
(count (distinct-mult 32 1e6))) | |
;; "Elapsed time: 79980.211 msecs" | |
;; => 13826337 |
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