## 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``` 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 kmrrv: 2016-09-15 19:20:27 beware of output format karan_batra: 2016-08-28 11:13:57 AC in one go :D. Simple modification of sieve. agralalarocks: 2016-07-26 22:49:19 Could someone please take a look at my code its VAKNIg on ideone hmp: 2016-07-05 03:08:52 why same code giving compilation error with C++14 and AC with C++4.3.2 praval_singhal: 2016-06-03 20:55:44 First the very first Time used lower_bound. Got AC :)