ALICESIE  Alice Sieve
Alice has recently learned to use the Sieve of Eratosthenes, an ancient algorithm for finding all prime numbers up to any given limit. As expected, she was really impressed by it's simplicity and elegancy.
Now, she has decided to design her own sieve method: The Sieve of Alice, formally defined by the following procedure, which determines the Sieve of Alice up to a given limit N.
 Create a list of consecutive integers from N to 2 (N, N1, N2, ..., 3, 2). All of those N1numbers are initially unmarked.
 Initially, let P equal N, and leave this number unmarked.
 Mark all the proper divisors of P (i.e. P remains unmarked).
 Find the largest unmarked number from 2 to P – 1, and now let P equal this number.
 If there were no more unmarked numbers in the list, stop. Otherwise, repeat from step 3.
Unfortunately, Alice has not found an useful application for it's Sieve. But she still wants to know, for a given limit N, how many integers will remain unmarked.
Input
The first line contains an integer T, the number of test cases (1 ≤ T ≤ 10^4) . Each of the next T lines contains an integer N (2 ≤ N ≤ 10^6).
Output
Output T lines, one for each test case, containing the required answer.
Example
Input: 3 2 3 5 Output: 1 2 3
hide comments
Arka Roy:
20170818 11:28:46
that feeling when you get the logic of a good question and question like this fools you !! :p this question is a reminder to think simple 

hunnychauhan:
20170718 13:59:45
just observe the pattern...


hassanarif63:
20170703 07:47:58
cakewalk! 

kooljais24:
20170619 17:19:27
lt's too much easy..O(1)...just observe the results


jainsahil1997:
20170519 07:11:48
Fooled here :P 

giorgosgiapis:
20170405 13:02:07
Easy one. O(1) per test case! 

nilabja16180:
20170305 20:54:20
Just LOL! question! 

aaditya111:
20170224 11:51:44
Tooooooo........ simple , guyz apply engineers mind nd win d race, this question has already made u fool ha ha ha ha ha ......LOL


gauravgb21:
20170219 15:18:26
ohh my god!! i haven't seen a problem like this!! learned a lot!!LOL!! 

awesomeabhinav:
20161224 13:59:32
shit man, this question fooled me 
Added by:  Paulo Costa 
Date:  20120206 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  UNI 