PSYCHO2 - Psycho Function

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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.

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 trailing zeros 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
2
5 2 5
10 12 1

Output
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)


hide comments
amulyagaur: 2017-07-21 19:24:44

move to classical plz... its worth it

Vipul Srivastava: 2016-08-14 08:13:12

I think this should be in the classical section. Involves many tasks and can teach a few concepts also the brute force won't pass.

Last edit: 2016-08-15 08:58:30

Added by:Shipu Ahamed
Date:2013-11-05
Time limit:0.5s
Source limit:8000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64