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
moovon:
20151027 16:07:07
It must have been tougher for the problem setter to set the problem than for me to write the code :P 

NIKHIL KUMAR SINGH:
20150907 07:25:52
Sweet one :) 

dwij28:
20150830 00:32:18
3 lines in python after including an import statement, 36 characters in ruby. If the great Eratosthenes was alive, he would die laughing.. :D


xxbloodysantaxx:
20150717 21:53:04
I was thinking that Answer(Prime)=Answer(Prime1)+1 !


Vaporeon:
20150601 21:30:26
So Alice,you were no where near Eratosthenes.. :P :v 
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 