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Problem I: Armstrong Number

 

A number N is an Armstrong number of order n (n being the number of digits) if

            abcd … = an + bn + cn + dn + . . . = N

For example, 153 is an Armstrong number of order 3 because

l3 + 53 + 33 = 1 + 125 + 27 = 153.

Likewise, 54748 is an Armstrong number of order 5 because

55 + 45 + 75 + 45 + 85 = 3125 + 1024 + 16807 + 1024 + 32768 = 54748.

 

In this problem you have to determine whether a given number is Armstrong number or not.

 

Input

The first line of input is an integer, T that determines the number of test cases. Each of the next T lines contain a positive integer N, where N 1000000000.

 

Output

For each line of input, there will be one line of output. If N is an Armstrong number print “Armstrong”, otherwise print “Not Armstrong” (without the quotes).

 

Sample Input

Output for Sample Input

3

153

2732

54748

Armstrong

Not Armstrong

Armstrong

 

Problem Setter: Mohammed Shamsul Alam

Alternate Solution: Tanveer Ahsan