UARL 1095. Nikifor 3

1095. Nikifor 3

Time limit: 1.0 second
Memory limit: 64 MB

Nikifor knows that a certain positive integer has in its decimal form each of the digits 1,2,3,4. You are asked to determine if Nikifor can rearrange the digits of the number in such a way that the new number divides by 7.

Input

The first line contains the number N (not exceeding 10000) of positive integers that are to be checked. The next N lines contain these integers. Each number has no more than 20 digits.

Output

For each of the N numbers output a number divisible by 7 that can be obtained from the corresponding number from the input data by a rearrangement of the digits. If such rearrangement does not exist you should output 0 in the corresponding line. In the case of several valid rearrangements you may find only one of them.

Sample

input	output
2 1234 531234	4123 354123

Problem Author: Dmitry Filimonenkov
Problem Source: USU Open Collegiate Programming Contest March'2001 Senior Session

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Difficulty: 472    Printable version    Submit solution    Discussion (25)
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思路：

 

代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <iostream>
using namespace std;
const int ssss[7]={4123,1324,1234,2341,1243,3421,3142};
char str[22];
int num[10];
int length;
int map[20];
int sum,flag,t;
long long int frontpart,pppp;
int main()
{
scanf("%d",&t);
while(t --)
{
memset(str,0,sizeof(str));
memset(map,0,sizeof(map));
memset(num,0,sizeof(num));
scanf("%s",str);length = strlen(str);
for(int i = 0;i < length;i ++)
num[str[i] - 48] ++;
num[1] --;num[2] --;num[3] --;num[4] --;
frontpart = 0;
pppp = 1;
int k = 1;
for(int i = 1;i <= 9;i ++)
{
while(num[i] >= 1)
{
frontpart = frontpart * 10 + i;
map[k ++] = i;
num[i] --;
}
}
k --;
//printf("%lld ",frontpart);
frontpart %= 7;
int i;
for(i = 0;i < 7;i ++)
{
if((frontpart * 10000 + ssss[i]) % 7 == 0)
break;
}
for(int l = 1;l <= k;l ++)
printf("%d",map[l]);
printf("%d",ssss[i]);
while(num[0] >= 1){
printf("0");num[0] --;}
printf(" ");
}
return 0;
}