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| ## Page 1 | |
| 10235 | |
| Simply Emirp | |
| An integer greater than 1 is called a prime number if its only positive divisors (factors) are 1 and itself. | |
| Prime numbers have been studied over the years by a lot of mathematicians. Applications of prime | |
| numbers arise in Cryptography and Coding Theory among others. | |
| Have you tried reversing a prime? For most primes, you get a composite (43 becomes 34). An | |
| Emirp (Prime spelt backwards) is a Prime that gives you a different Prime when its digits are reversed. | |
| For example, 17 is Emirp because 17 as well as 71 are Prime. | |
| In this problem, you have to decide whether a number N is Non-prime or Prime or Emirp. Assume | |
| that 1 < N < 1000000. | |
| Interestingly, Emirps are not new to NTU students. We have been boarding 199 and 179 buses for | |
| quite a long time! | |
| Input | |
| Input consists of several lines specifying values for N. | |
| Output | |
| For each N given in the input, output should contain one of the following: | |
| 1. ‘N is not prime.’, if N is not a Prime number. | |
| 2. ‘N is prime.’, if N is Prime and N is not Emirp. | |
| 3. ‘N is emirp.’, if N is Emirp. | |
| Sample Input | |
| 17 | |
| 18 | |
| 19 | |
| 179 | |
| 199 | |
| Sample Output | |
| 17 is emirp. | |
| 18 is not prime. | |
| 19 is prime. | |
| 179 is emirp. | |
| 199 is emirp. |