rnumber

Problem code: TECH02

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In this problem your task is to reduce a given number 'N' to a non-positive number in as little moves as possible. The moves allowed are : Given an integer 'N' you can subtract one of its factors (excluding 'N' itself) from 'N' and continue the same process with the resulting number until you reach a non-positive number

Input

First line contains the number of test cases 'T'. 'T' lines follow containing a single integer 'N' 2<=N<100,000.

Output

A single integer denoting the minimum number of moves necessary.

Example

Input:
1
10

Output:
5

Author:	technovanza10
Date Added:	12-01-2010
Time Limit:	102 sec
Source Limit:	50000 Bytes
Languages:	C, C99 strict, CLOJ, CPP 4.0.0-8, CPP 4.3.2, F#, GO, JAVA, PERL6, PYTH 3.1.2, TEXT

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Comments

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Note that there is a special

kartiknayak @ 13 Jan 2010 09:19 PM

Note that there is a special case when N=1, you can substract '1' to reach 0.

What would be answer for 1 ?

algoCrack_pr0ton @ 13 Jan 2010 09:24 PM

What would be answer for 1 ? It must be infinity by definition.

Time limit for this problem

kartiknayak @ 13 Jan 2010 09:58 PM

Time limit for this problem is 2s

wht is the ans for n=2 ,3

akshay_utkarsh @ 13 Jan 2010 10:23 PM

wht is the ans for n=2 ,3 ?

we need to subtract 1 and then again we obtain 1 what to do with that.?

algoCrack, Technovanza10 I

vish @ 13 Jan 2010 11:14 PM

algoCrack, Technovanza10

I didnt register on codechef as algoCrack_{teamname} but have register on ur site as {teamname} , can i do some now now , if yes please tell me.....

i'm having 3rd place in ur

vish @ 13 Jan 2010 11:28 PM

i'm having 3rd place in ur contest handle vish

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