Kia's Calculation
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 605 Accepted Submission(s): 170
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 ?
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 10 6, and without leading zeros.
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 10 6, 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
Source
分析：A+B后的数每位最大值为9，所以可以从第一位开始从9~0枚举，9=0+9,1+8,2+7...,注意首位不能为0即可
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<string>
#include<queue>
#include<algorithm>
#include<map>
#include<iomanip>
#define INF 99999999
using namespace std;
const int MAX=1000000+10;
char a[MAX],b[MAX];
int numa[10],numb[10];
int main(){
int t,i,j,k,num=0;
scanf("%d",&t);
while(t--){
scanf("%s%s",a,b);
int lena=strlen(a),lenb=strlen(b);
memset(numa,0,sizeof numa);
memset(numb,0,sizeof numb);
for(i=0;i<lena;++i)++numa[a[i]-'0'];
for(i=0;i<lenb;++i)++numb[b[i]-'0'];
printf("Case #%d: ",++num);
for(i=9;i>=0;--i){//判断首位最大值
for(j=1;j<10;++j){
if((i-j+10)%10 == 0)continue;
if(numa[j] && numb[(i-j+10)%10]){--numa[j],--numb[(i-j+10)%10];break;}
}
if(j != 10){printf("%d",i);break;}
}
if(i == 0){cout<<endl;continue;}
if(i == -1){cout<<0<<endl;continue;}
for(k=1;k<lena;++k){//a,b长度相等才能这样算
for(i=9;i>=0;--i){
for(j=0;j<10;++j){
if(numa[j] && numb[(i-j+10)%10]){--numa[j],--numb[(i-j+10)%10];break;}
}
if(j != 10){printf("%d",i);break;}
}
}
cout<<endl;
}
return 0;
}