FACTCG2 - Medium Factorization

no tags 

The task in this problem is to write a number in a multiplication of prime numbers separated by “ x ”. You need to put the number 1 in this multiplication.

Input

The input consists of several lines.

Each line consists of one integer N (1 <= N <= 10^7) .

Output

For each line you need to output the factorization separated by “ x ” and including 1.

Sample

Input
1
2
4
8

Output
1
1 x 2
1 x 2 x 2
1 x 2 x 2 x 2

hide comments
pushkar: 2014-08-21 10:00:32

can anyone suggest some input.. My program is failing for judge 4.

Harry Mathis: 2014-08-09 14:04:53

Same algorithmn is getting TLE in Java but AC in C++

||N0VICE||: 2014-03-29 18:10:28

Nice prob
was getting WA because of printing an extra 1 at the end of stdin

Ramesh Kumar Katreddi: 2014-03-07 23:55:21

Input Specification needs to be proper. the x is small and needs one space on either side. and in the example it actually looks like capital X. Lot of TLE's. but finally ac :)

Himanshu: 2014-02-06 15:12:20

AC after 21 TLE,RE,CE 15.?? sec..

Mukund Kumar: 2014-01-09 17:29:29

Learnt something new :)

[Lakshman]: 2013-12-30 07:12:29

@tend The time limit was never 22 second. The input file have multiple test cases , and the running time u are talking about us sum of running time of all test files.
click on all submission and check my today submission and it took 17s

Last edit: 2013-12-30 07:18:49
tend: 2013-12-30 06:34:49

@Lakshman there is time limit of 6s but many solutions have been accepted previously in even 22s.

[Lakshman]: 2013-12-29 16:32:48

@tend which previous time limit you are talking about.

tend: 2013-12-29 15:44:04

why time limit has been reduced from previous one !!


Added by:Phyllipe Medeiros
Date:2012-02-26
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64