Kia's Calculation

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1367    Accepted Submission(s): 327

Problem Description
Doctor Ghee is teaching Kia how to calculate the sum of two integers. But Kia is so careless and alway forget to carry a number when the sum of two digits exceeds 9. For example, when she calculates 4567+5789, she will get 9246, and for 1234+9876, she will get 0. Ghee is angry about this, and makes a hard problem for her to solve:
Now Kia has two integers A and B, she can shuffle the digits in each number as she like, but leading zeros are not allowed. That is to say, for A = 11024, she can rearrange the number as 10124, or 41102, or many other, but 02411 is not allowed.
After she shuffles A and B, she will add them together, in her own way. And what will be the maximum possible sum of A "+" B ?
 
Input
The rst line has a number T (T <= 25) , indicating the number of test cases.
For each test case there are two lines. First line has the number A, and the second line has the number B.
Both A and B will have same number of digits, which is no larger than 106, and without leading zeros.
 
Output
For test case X, output "Case #X: " first, then output the maximum possible sum without leading zeros.
 
Sample Input
1
5958
3036
 
Sample Output
Case #1: 8984
 #include <iostream>
#include <string.h>
#include <stdio.h>
#include <math.h>
#include <algorithm>
using namespace std;
int a[],b[];
int fun()
{
int i,j,k;
for(k=; k>=; k--)
{
for(i=; i>=; i--)
{
for(j=; j>=; j--)
{
if(a[i]&&b[j]&&(i+j)%==k)
{
a[i]--,b[j]--;
printf("%d",k);
return k;
}
}
}
}
}
int main()
{
int t,i,j,k,r;
char x;
scanf("%d",&t);
getchar();
for(r=; r<=t; r++)
{
memset(a,,sizeof(a));
memset(b,,sizeof(b));
while(x=getchar())
{
if(x=='\n')break;
a[x-'']++;
}
while(x=getchar())
{
if(x=='\n')break;
b[x-'']++;
}
printf("Case #%d: ",r);
if(fun())
for(k=; k>=; k--)
{
for(i=; i>=; i--)
{
for(j=; j>=; j--)
{
while(a[i]&&b[j]&&(i+j)%==k)
{
a[i]--,b[j]--;
printf("%d",k);
}
}
}
}
puts("");
}
}
 

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