【PAT】1019. General Palindromic Number (20)

题目：http://pat.zju.edu.cn/contests/pat-a-practise/1019

题目描述：

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_ibⁱ) 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 <= 10⁹ is the decimal number and 2 <= b <= 10⁹ 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 ... a₀". Notice that there must be no extra space at the end of output.

Sample Input 1:

27 2

Sample Output 1:

Yes
1 1 0 1 1

Sample Input 2:

121 5

Sample Output 2:
No
4 4 1

分析：简单题。将十进制数a转换成以b为基数的数，判断转换后的数是否是符合回文串的特点。

#include<iostream>
using namespace std;
#define max 100000000
int result[max];
long i,j;

bool isPalindrome(int inStr[max])
{
	long begin,end;
	for(begin=0,end=i-1; begin<=end; begin++,end--){
		if(result[begin] != result[end]) return false;
	}
	return true;
}

void change(long a, long b)
{	
	i = 0;
	do 
	{
		result[i++] = a % b;
		a /= b;
	} while (a != 0);		
	//cout<<"i="<<i<<endl;
}

int main()
{
    long a,b;
	cin>>a>>b;
	change(a,b);
	if( isPalindrome(result) )
			cout<<"Yes"<<endl;
	else
		cout<<"No"<<endl;

	//cout<<"i="<<i<<endl;
	for(j=i-1; j>0; j--)
		cout<<result[j]<<" ";
	cout<<result[j]<<endl;
	
	return 0;
}