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
kira28:
2016-12-28 13:23:52
another sieve ques :/ |
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madhavgaba:
2016-12-24 05:24:35
modify sieve and precompute......AC in third go;) |
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surajmall:
2016-10-23 11:13:20
seieve and some smart work needed |
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kmrrv:
2016-09-15 19:20:27
beware of output format |
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karan_batra:
2016-08-28 11:13:57
AC in one go :D. Simple modification of sieve. |
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agralalarocks:
2016-07-26 22:49:19
Could someone please take a look at my code its VAKNIg on ideone |
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hmp:
2016-07-05 03:08:52
why same code giving compilation error with C++14 and AC with C++4.3.2 |
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praval_singhal:
2016-06-03 20:55:44
First the very first Time used lower_bound. Got AC :)
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Subhendu Sethi:
2016-05-21 03:04:32
No need to Prime Factorize. Think about sieving! Easy. |
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mohitgupta07:
2016-05-13 22:36:02
dun knw why getting wrong answer -_- can anyone tell me dat how many cube free no.s lie in this range!!
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Added by: | Muhammad Ridowan |
Date: | 2011-06-14 |
Time limit: | 0.100s-1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | Own. For alternate thanks Sayef Azad Sakin |