若一个数（首位不为零）从左向右读与从右向左读都一样，我们就将其称之为回文数。



例如：给定一个10进制数56，将56加65（即把56从右向左读），得到121是一个回文数。



又如：对于10进制数87：



STEP1：87+78 = 165



STEP2：165+561 = 726



STEP3：726+627 = 1353



STEP4：1353+3531 = 4884



在这里的一步是指进行了一次N进制的加法，上例最少用了4步得到回文数4884。



写一个程序，给定一个N（2<=N<=10或N=16）进制数M，求最少经过几步可以得到回文数。



(十六进制数使用大写ABCDEF)





输入





N M



M的位数小于10-If a number (the first non-zero) reading from left to right and from right to left the same time, we will call it a palindrome. For example: Given a decimal number 10, 56, will be 56 plus 65 (that is, to 56 read from right to left), received 121 is a palindrome. Another example: For the 10 number 87: STEP1: 87+78 = 165 STEP2: 165+561 = 726 STEP3: 726+627 = 1353 STEP4: 1353+3531 = 4884 step here is the band conducted a N in addition, the patients received at least step 4 with the palindrome 4884. Write a program that, given a N (2 < = N < = 10 or N = 16) hexadecimal number M, seeking at least after a few steps can be palindrome. (Hexadecimal number using uppercase ABCDEF) Enter the number of bits is less than 10 NM M output