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
anshuman16423:
20181130 15:11:50
1 WA in pypy for using slow io functions using xrange and stdin gave AC


vibhu04:
20181004 13:29:16
what if we find the prime factors of a number and if the same prime number repeats for more than 2 times then the number will not be cube free??


samarth1402:
20180708 16:04:46
WA once... in first time I did not read the ques properly. though only perfect cubes are cube free numbers! Corrected this problem in second attempt, finally AC :)) 

gargmehul10:
20180319 12:30:12
AC !!! Apply simple sieve ! 

karthik1997:
20171227 20:31:46
Remember,Sieve is not only used for primes :p AC 0.0s Last edit: 20171227 20:33:28 

vishwanath_26:
20171027 16:39:53
Apply Sieve and get AC!!!


shubham9261:
20170830 16:59:10
sieve and precompute only will help u Last edit: 20170830 17:12:17 

saurav52:
20170828 18:04:07
Make ur own sieve, AC in ONE GO :) 

jayharsh:
20170812 13:51:44
AC in one Go.....! modify your sieve and get the answer....... 

esshuvo:
20170811 22:18:48
binary search+modified seive! 
Added by:  Muhammad Ridowan 
Date:  20110614 
Time limit:  0.100s1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Own. For alternate thanks Sayef Azad Sakin 