hdu1104 Remainder bfs找算式是否有解……

时间:2021-05-09 15:48:08

须要注意的是,进行模运算剪枝……

#include<iostream>
#include<queue>
#include<cstdlib>
#include<cstring>
using namespace std;
int N,M,K,T,X;
bool used[1010];
struct node
{
int value,step;
char prc[10000];
}st;
int remind(int a,int b)
{
return (a%b+b)%b;
}
void init()
{
T=remind(N+1,K);
st.value=N;
X=M*K;
st.step=0;
memset(used,0,sizeof(used));
used[st.value]=1;
}
void bfs()
{
int i,tmp,tmp1;
queue<node>qq;
node t1,t2;
qq.push(st);
while(qq.size())
{
t1=qq.front();
qq.pop();
if(remind(t1.value,K)==T)
{
t1.prc[t1.step]='\0';
printf("%d\n%s\n",t1.step,t1.prc);
return;
}
for(i=0;i<4;i++)
{
t2=t1;
t2.step++;
if(i==0)
{
tmp=(t2.value+M)%X;
t2.prc[t1.step]='+';
}
else if(i==1)
{
tmp=(t2.value-M)%X;
t2.prc[t1.step]='-';
}
else if(i==2)
{
tmp=(t2.value*M)%X;
t2.prc[t1.step]='*';
}
else
{
tmp=remind(t2.value,M);
t2.prc[t1.step]='%';
}
tmp1=remind(tmp,K);
if(!used[tmp1])
{
used[tmp1]=1;
t2.value=tmp;
qq.push(t2);
}
}
}
printf("0\n");
}
int main()
{
while(scanf("%d%d%d",&N,&K,&M)&&(N!=0||M!=0||K!=0))
{
init();
bfs();
}
}