1019. General Palindromic Number (20)
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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 ai as the sum of (aibi) for i from 0 to k. Here, as usual, 0 <= ai < b for all i and ak is non-zero. Then N is palindromic if and only if ai = ak-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 "ak ak-1 ... a0". Notice that there must be no extra space at the end of output.
Sample Input 1:27 2Sample Output 1:
Yes1 1 0 1 1Sample Input 2:
121 5Sample Output 2:
No4 4 1
分析:
(1)进制转换,此题的要求中十进制以上的没要求转换为字母,所以不用考虑复杂。
int index=0; //是倒过来存在a[]里的,所以需要一个index记录末尾
while (n>0){
a[index]=n%b;
n=n/n;
index++;
}
(2)半段回文,收尾逐一比较就好。看到有人还有反转字符串的。。
int i=0,j=index-1;
int flag=0;
while (i<j){
if (a[i]!=a[j]){
flag=1;
break;
}
i++;
j--;
}
#include <stdio.h>int main(int argc, char *argv[]){long n,b;int a[1000]; //whyscanf ("%d%d",&n,&b);int index=0;while (n>0){a[index]=n%b;n=n/b; index++;}int i=0,j=index-1;int flag=0;while (i<j){if (a[i]!=a[j]){flag=1;break;}i++;j--;}if (flag==0){printf("Yes\n");}else printf ("No\n");for (i=index-1;i>0 ;i-- ){printf ("%d ",a[i]);}printf ("%d",a[0]);return 0;}
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
- 1019. General Palindromic Number (20)
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