CUBEFR - Cube Free Numbers


A cube free number is a number who’s none of the divisor is a cube number (A cube number is a cube of a integer like 8 (2 * 2 * 2) , 27 (3 * 3 * 3) ). So cube free numbers are 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18 etc (we will consider 1 as cube free). 8, 16, 24, 27, 32 etc are not cube free number. So the position of 1 among the cube free numbers is 1, position of 2 is 2, 3 is 3 and position of 10 is 9. Given a positive number you have to say if its a cube free number and if yes then tell its position among cube free numbers.

Input

First line of the test case will be the number of test case T (1 <= T <= 100000) . Then T lines follows. On each line you will find a integer number n (1 <= n <= 1000000).

Output

For each input line, print a line containing “Case I: ”, where I is the test case number. Then if it is not a cube free number then print “Not Cube Free”. Otherwise print its position among the cube free numbers.

Example

Sample Input:
10
1
2
3
4
5
6
7
8
9
10

Sample Output:
Case 1: 1
Case 2: 2
Case 3: 3
Case 4: 4
Case 5: 5
Case 6: 6
Case 7: 7
Case 8: Not Cube Free
Case 9: 8
Case 10: 9

hide comments
jayharsh: 2017-08-12 13:51:44

AC in one Go.....! modify your sieve and get the answer.......

esshuvo: 2017-08-11 22:18:48

binary search+modified seive!

mhz2: 2017-07-17 17:21:31

Great Question! :)

anurag_tangri: 2017-04-21 15:36:05

many WA's and finally AC:)
simple sieve tho !

newbie_127: 2017-03-30 19:03:55

Be careful with counter !! Cost me 4 WA's .

nilabja16180: 2017-03-22 21:34:44

EASY! AC IN ONE GO!

kass_97: 2016-12-31 09:52:23

Simple sieve, AC at once

kira28: 2016-12-28 13:23:52

another sieve ques :/

madhavgaba: 2016-12-24 05:24:35

modify sieve and precompute......AC in third go;)

surajmall: 2016-10-23 11:13:20

seieve and some smart work needed


Added by:Muhammad Ridowan
Date:2011-06-14
Time limit:0.100s-0.939s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own. For alternate thanks Sayef Azad Sakin