A1023. Have Fun with Numbers (20)
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1023. Have Fun with Numbers (20)
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:
Yes2469135798
#include<cstdio>#include<cstring>#include<algorithm>using namespace std;int main(){bool flag = 1;//表示符合要求int hashTable[256] = {0};char str1[22],str2[22];scanf("%s",str1);int len1 = strlen(str1);int len2 = len1;//len2必须通过len1来求,否则会输出额外的东西?reverse(str1,str1+len1);//反转字符串for(int i = 0;i < len1;i++)hashTable[str1[i]]++;int carry = 0;for(int i = 0;i < len1;i++){str2[i] = ((str1[i]-'0')*2+carry)%10+'0';carry = ((str1[i]-'0')*2+carry)/10;}if(carry){ flag = 0;len2++;str2[len1] = carry+'0';}else {for(int i = 0;i < len1;i++)hashTable[str2[i]]--;for(int i = 0;i < len1;i++)if(hashTable[str2[i]]) flag = 0;}if(flag) printf("Yes\n");else printf("No\n");for(int i = len2-1;i >= 0;i--)printf("%c",str2[i]);printf("\n");return 0;}
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