題意 假設(shè)a加上a全部數(shù)位上的數(shù)等于b時(shí) a稱為b的 generator ?求給定數(shù)的最小 generator?

給的數(shù)n是小于100,000的 ?考慮到全部數(shù)位和最大的數(shù)99,999的數(shù)位和也才45 ?因此我們僅僅須要從n-45到n枚舉即可了

      #include<cstdio>  
#include<cstring>  
using namespace std;  
int t, n, a, b, ans, l;  
int main()  
{  
    scanf ("%d", &t);  
    while (t--)  
    {  
        scanf ("%d", &n);  
        ans = 0;  
        for (int i = n-50; i < n; ++i)  
        {  
            a = b = i;  
            while (b)  
            {  
                a += b % 10;  
                b /= 10;  
            }  
            if (a + b == n)  
            {  
                ans = i;  
                break;  
            }  
        }  
        printf ("%d\n", ans);  
    }  
    return 0;  
} 
    

For a positive integer? N ?, the digit-sum of? N ?is defined as the sum of? N ?itself and its digits. When? M ?is the digitsum of? N ?, we call? N ?a? generator ?of? M ?.

For example, the digit-sum of? 245 ?is? 256 (= 245 + 2 + 4 + 5) . Therefore,? 245 ?is a generator of? 256 .

Not surprisingly, some numbers do not have any generators and some numbers have more than one generator. For example, the generators of? 216 ?are? 198 ?and? 207 .

You are to write a program to find the smallest generator of the given integer.

Input ?

Your program is to read from standard input. The input consists of? T ?test cases. The number of test cases? T ?is given in the first line of the input. Each test case takes one line containing an integer? N ?,? 1 N 100, 000 ?.

Output ?

Your program is to write to standard output. Print exactly one line for each test case. The line is to contain a generator of? N ?for each test case. If? N ?has multiple generators, print the smallest. If? N ?does not have any generators, print? 0 .

The following shows sample input and output for three test cases.

Sample Input ?

      3 
216 
121 
2005

    

Sample Output ?

      198 
0 
1979