Notice that the number 123456789 is a 9-digit number consisting exactly the numbers from 1 to 9, with no duplication. Double it we will obtain 246913578, which happens to be another 9-digit number consisting exactly the numbers from 1 to 9, only in a different permutation. Check to see the result if we double it again!
Now you are suppose to check if there are more numbers with this property. That is, double a given number with k digits, you are to tell if the resulting number consists of only a permutation of the digits in the original number.
Input Specification:
Each input file contains one test case. Each case contains one positive integer with no more than 20 digits.
Output Specification:
For each test case, first print in a line "Yes" if doubling the input number gives a number that consists of only a permutation of the digits in the original number, or "No" if not. Then in the next line, print the doubled number.
Sample Input:1234567899Sample Output:
Yes 2469135798
#include<stdio.h>
#include<string.h>
char s[22];
char s2[22];
int a[10];
int main()
{
scanf("%s\n", s);
int i;
int j =0;
int temp = 0;
int carry = 0;
for(i = strlen(s)-1;i >= 0; i--){
temp = s[i] - '0';
a[temp]++;
temp = temp*2 + carry;
s2[i] = temp%10 + '0';
a[temp%10]--;
carry = temp/10;
}
if(carry != 0 ) a[carry]--;
int flag = 0;
for(i = 0; i< 10; i++){
if(a[i] != 0){
flag = 1;
break;
}
}
if(flag) printf("No\n");
else printf("Yes\n");
if(carry != 0 ) printf("%d",carry);
for(i = 0 ; i < strlen(s2); i++){
printf("%c",s2[i]);
}
printf("\n");
return 0;
}
本文介绍了一种判断方法,用于检查一个给定的数字在翻倍后是否仅由其原始数字的不同排列组成。通过逐位翻倍并验证翻倍后的数字是否包含原始数字的所有不同组合,实现了这一功能。
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