POJ 3126: Prime Path (simple search BFS)
The meaning of problems:
each given two digit n, m; wherein n and m are prime numbers; each time a change operation of a number, how many steps are required a minimum of energy from n to m, and each after the operation to obtain the prime numbers must
Solution:
Obviously BFS, but because the head did not want to start too well, have not been able AC
really only need to determine the ten-Facing bits, the number of judges get is not a prime number and is not already used it to
The code is simple and easy to understand
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<iostream>
#include<sstream>
#include<string>
#include<queue>
#include<vector>
#include<set>
#include<stack>
#include<map>
#define lowbit(x) x&(-x)
#define ll long long
#define inf 0x3f3f3f3f
#define mod 1000
using namespace std;
const double pi=acos(-1.0);
const int maxn=1e5;
const double eps=1e-8;
int t;
int n,m;
int flag;
bool vis[10010]; //判断素数
int check[maxn+10]; //判断该数是不是已经用过
//素数筛(埃氏筛)
void init(){
memset(vis,true,sizeof(vis));
vis[1]=false;
for(int i=2;i<=maxn;i++){
for(int j=i*2;j<=maxn;j+=i){
vis[j]=false;
}
}
return ;
}
struct node{
int x;
int step;
node(int xx,int s){
x=xx;
step=s;
}
};
void bfs(int num,int step){
check[num]=1;
queue<node>q;
q.push(node(num,step));
while(!q.empty()){
node now=q.front();
q.pop();
if(now.x==m){
printf("%d\n",now.step);
flag=1;
return ;
}
for(int i=0;i<=9;i++){ //个位
int fx=(now.x/10)*10+i;
if(check[fx]==0&&vis[fx]==true){
q.push(node(fx,now.step+1));
check[fx]=1;
}
}
for(int i=0;i<=9;i++){ //十位
int fx=(now.x/100)*100+i*10+now.x%10;
if(check[fx]==0&&vis[fx]==true){
q.push(node(fx,now.step+1));
check[fx]=1;
}
}
for(int i=0;i<=9;i++){ //百位
int fx=(now.x/1000)*1000+i*100+now.x%100;
if(check[fx]==0&&vis[fx]==true){
q.push(node(fx,now.step+1));
check[fx]=1;
}
}
for(int i=1;i<=9;i++){ //千位
int fx=i*1000+now.x%1000;
if(check[fx]==0&&vis[fx]==true){
q.push(node(fx,now.step+1));
check[fx]=1;
}
}
}
return ;
}
int main(){
init();
scanf("%d",&t);
while(t--){
flag=0;
memset(check,0,sizeof(check));
scanf("%d%d",&n,&m);
bfs(n,0);
if(flag==0){
printf("Impossible\n");
}
}
return 0;
}