
ZOJ Problem Set  1078
Statement of the Problem We say that a number is a palindrom if it is the sane when read from left to right or from right to left. For example, the number 75457 is a palindrom. Of course, the property depends on the basis in which is number is represented. The number 17 is not a palindrom in base 10, but its representation in base 2 (10001) is a palindrom. The objective of this problem is to verify if a set of given numbers are palindroms
in any basis from 2 to 16. Input Format Several integer numbers comprise the input. Each number 0 < n < 50000
is given in decimal basis in a separate line. The input ends with a zero. Output Format Your program must print the message Number i is palindrom in basis where I
is the given number, followed by the basis where the representation of the number
is a palindrom. If the number is not a palindrom in any basis between 2 and
16, your program must print the message Number i is not palindrom. Sample Input 17 Sample Output Number 17 is palindrom in basis 2 4 16 Source: South America 2001 