1023. Have Fun with Numbers (20)

本文介绍了一个有趣的数学问题:检查一个给定的数字在翻倍之后,其结果是否仅由原数字中的数字重新排列组成。文章提供了完整的C语言实现代码,包括翻倍函数和检查函数,并通过示例展示了如何验证这一特性。

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:

1234567899

Sample Output:

Yes
2469135798

#include <stdio.h>
#include <string.h>
void DoubleNum(char s1[],int n,char s2[]);
int Check(char s1[],char s2[]);
int main(){
    char s1[25],s2[25];
    scanf("%s",s1);
    DoubleNum(s1,strlen(s1),s2);
    if(Check(s1,s2))
        printf("Yes\n%s",s2);
    else printf("No\n%s",s2);
}
void DoubleNum(char s1[],int n,char s2[]){
    int i,add=0;
    for(i=n-1;i>=0;i--){
        s2[i]=((s1[i]-'0')*2+add)%10+'0';
        add=((s1[i]-'0')*2+add)/10;
    }
    if(add){
        for(i=n;i>0;i--)
            s2[i]=s2[i-1];
        s2[0]=add+'0';
        s2[n+1]='\0';
    }
    else s2[n]='\0';
}
int Check(char s1[],char s2[]){
    int c[10]={0},i;
    if(strlen(s1)!=strlen(s2))r
        eturn 0;
    for(i=0;i<strlen(s1);i++)
        c[s1[i]-'0']++;
    for(i=0;i<strlen(s2);i++)
        c[s2[i]-'0']--;
    for(i=0;i<10;i++)
        if(c[i]!=0)return 0;
    return 1;
}

转载于:https://www.cnblogs.com/xLester/p/7570523.html

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