How Many Equations Can You Find
Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
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 21 1
Sample Output
18 1
简单翻译:
给你两个数n,m.你需要在n的中间填上加号或减号，或者不填。让n这个部分的值等于m。问有多少种方案。
举个例子：n=12345.
你可以操作它，使它变成这样 123+4-5=122。
解题思路：
dfs,考虑已经处理的数字的个数和当前这部分的值，处理到终点时，如果等于m，结果+1.
代码：
#include<cstdio>
#include<cstring>
#define LL long long
using namespace std;
char String[120];
LL Equation;
int Length,Answer;
void Search_For_Answer(int Now_Position,LL Now_Value)
{
if(Now_Position>=Length)
{
if(Now_Value==Equation) Answer++;
return;
}
LL Temp_Value=0;
for(int i=1;i<=Length-Now_Position;i++)
{
Temp_Value=Temp_Value*10+String[i-1+Now_Position]-‘0‘;
Search_For_Answer(Now_Position+i,Now_Value+Temp_Value);
if(Now_Position)
Search_For_Answer(Now_Position+i,Now_Value-Temp_Value);
}
}
int main()
{
while(scanf("%s%lld",String,&Equation)!=EOF)
{
Answer=0;
Length=strlen(String);
Search_For_Answer(0,0);
printf("%d\n",Answer);
}
return 0;
}