How Many Equations Can You Find
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 716 Accepted Submission(s): 469
Problem Description
Now give you an string which only contains 0, 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9.You are asked to add the sign ‘+’ or ’-’ between the characters. Just like give you a string “12345”, you can work out a string “123+4-5”. Now give you an integer N, please tell me how many ways can you find to make the result of the string equal to N .You can only choose at most one sign between two adjacent characters.
Input
Each case contains a string s and a number N . You may be sure the length of the string will not exceed 12 and the absolute value of N will not exceed 999999999999.
Output
The output contains one line for each data set : the number of ways you can find to make the equation.
Sample Input
123456789 3
211
Sample Output
18 1
#include<stdio.h>
#include<string.h>
char s[15];
int n,num,l;
void dfs(int x,int m)
{
if(x==l)
{
if(m==n)
num++;
return ;
}
else
{
int mm=0;
for(int i=x;i<l;i++)
{
mm=mm*10+s[i]-'0';
dfs(i+1,mm+m);
if(x!=0)
dfs(i+1,m-mm);
}
}
}
int main()
{
while(scanf("%s",s)!=EOF)
{
scanf("%d",&n);
l=strlen(s);
num=0;
dfs(0,0);
printf("%d\n",num);
}
return 0;
}