#PSYCHO2. Psycho Function

Psycho Function

Problem Statement:

The number N is called “Psycho Number” . Psycho Number is calculated as follows:

First, If we factorize N , then we have some prime and their power. Assume that, there are M powers. From M powers , you should count the number of even and odd powers. Then if the number of even power is strictly greater than odd power , then we call the number N is “Psycho Number”, otherwise the number N is call “Ordinary Number”.

As for example, if N = 67500 then prime factorization, 

67500 = 22 x 33 x 54

Count even powers and odd powers . This number have 2 even power(2,4) and 1 odd power ( 3 ). Since even power 2 (2,4) is greater than odd power 1 (3), so the number 67500 is a Psycho Number.

Now , You have to find the psycho number or Ordinary Number of the following function:

bool isPsycho( long long K, long long b, long long p) {  

       N = numberoftrailingzeros ( K ! ) * lastdigit ( bp ) ;

if( N == psychonumber )

 return true; 

 else

return false;

}

For example , if k = 10 , b= 12 , p = 1 then the N is 4 and it's a psycho number.
10 ! = 3628800 , number of trailingzeros is 2.
121 = 12 , last digit is 2.
so N = 4 then 4 = 22 . even power is greater than odd power, so the number 4 is a Psycho Number.

 

Input:

An integer T (1<= T <=105) denoting the number of test cases followed by T lines. Each line containing K (1<= K <=4*106), b (0<= b <=104), and p (0<= p <=1017).

Output:

For each case print  “Psycho Number” or “Ordinary Number”.

 

Sample Input/Output:

Sample Input

Sample Output

 2

 5  2  5

 10  12  1

 Ordinary Number

 Psycho Number

 

 

Note : 0 and 1 is not a psycho number .
Psycho 1 : Psycho
Psycho 3 :
Make Psycho 
Psycho 4 : Psycho34 (easy) 
 

Problem setter:   Shipu Ahamed, Dept. of CSE

Bangladesh University of Business and Technology (BUBT)