AMR11E - Distinct Primes

Arithmancy is Draco Malfoy's favorite subject, but what spoils it for him is that Hermione Granger is in his class, and she is better than him at it. Prime numbers are of mystical importance in Arithmancy, and Lucky Numbers even more so. Lucky Numbers are those positive integers that have at least three distinct prime factors; 30 and 42 are the first two. Malfoy's teacher has given them a positive integer n, and has asked them to find the n-th lucky number. Malfoy would like to beat Hermione at this exercise, so although he is an evil git, please help him, just this once. After all, the know-it-all Hermione does need a lesson.


The first line contains the number of test cases T. Each of the next T lines contains one integer n.


Output T lines, containing the corresponding lucky number for that test case.


1 <= T <= 20
1 <= n <= 1000


Sample Input:

Sample Output:

hide comments
Mukund Kumar: 2014-02-08 15:16:16

my 100th problem :)

Chandan Mittal: 2013-11-21 20:54:35

piece of cake :)

KARTIK KESHRI: 2013-07-18 09:37:07

got AC in 1st attempt in 0.00s

BLANKRK: 2013-07-16 16:56:08

nthng spacl... :P

Vipul Pandey: 2013-07-15 18:41:30

easy one. got ac in 0.00s. there is no need to sort.

Nishant Gupta: 2013-06-03 15:08:12

brings up my half century \m/

Ouditchya Sinha: 2013-05-05 10:07:38

AC in 0.00s :P :)

Eduardo Nunes: 2013-04-26 20:31:49

easy one, brute force gives AC in 0.01 sec ;-)
just find lucky numbers up to 2664, sort, and print :-D

Aditya Gourav: 2013-02-15 00:00:02

can't believe solved it using brute force,
got AC in 0.02 sec :D

!!.Nginx.!!: 2013-01-17 14:37:42

getting ans for n=1000 is 2664
then also WA... :(

Added by:Varun Jalan
Time limit:3s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Varun Jalan - ICPC Asia regionals, Amritapuri 2011