时间限制

400 ms

内存限制

65536 kB

代码长度限制

16000 B

判题程序

Standard

作者

CHEN, Yue

A number that will be the same when it is written forwards or backwards is known as a Palindromic Number. For example, 1234321 is a palindromic number. All single digit numbers are palindromic numbers.

Although palindromic numbers are most often considered in the decimal system, the concept of palindromicity can be applied to the natural numbers in any numeral system. Consider a number N > 0 in base b >= 2, where it is written in standard notation with k+1 digits a_{i} as the sum of (a_{i}b^{i}) for i from 0 to k. Here, as usual, 0 <= a_{i} < b for all i and a_{k} is non-zero. Then N is palindromic if and only if a_{i} = a_{k-i} for all i. Zero is written 0 in any base and is also palindromic by definition.

Given any non-negative decimal integer N and a base b, you are supposed to tell if N is a palindromic number in base b.

**
Input Specification:
**

Each input file contains one test case. Each case consists of two non-negative numbers N and b, where 0 <= N <= 10^{9} is the decimal number and 2 <= b <= 10^{9} is the base. The numbers are separated by a space.

**
Output Specification:
**

For each test case, first print in one line "Yes" if N is a palindromic number in base b, or "No" if not. Then in the next line, print N as the number in base b in the form "a_{k} a_{k-1} ... a_{0}". Notice that there must be no extra space at the end of output.

27 2

Yes 1 1 0 1 1

121 5

No 4 4 1