Open the Lock
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 2678 Accepted Submission(s): 1179
Problem Description
Now an emergent task for you is to open a password lock. The password is consisted of four digits. Each digit is numbered from 1 to 9.
Each time, you can add or minus 1 to any digit. When add 1 to '9', the digit will change to be '1' and when minus 1 to '1', the digit will change to be '9'. You can also exchange the digit with its neighbor. Each action will take one step.
Now your task is to use minimal steps to open the lock.
Note: The leftmost digit is not the neighbor of the rightmost digit.
Input
The input file begins with an integer T, indicating the number of test cases.
Each test case begins with a four digit N, indicating the initial state of the password lock. Then followed a line with anotther four dight M, indicating the password which can open the lock. There is one blank line after each test case.
Output
For each test case, print the minimal steps in one line.
Sample Input
2 1234 2144 1111 9999
Sample Output
2 4
由于此处的visit标志,只需要标志有没有搜索过,因此只要设置0,1来区分就可以。搜过的,就可以直接跳过
#include <iostream> #include <math.h> #include <queue> using namespace std; typedef struct data { int count; int a[5]; }; int visit1[10005]; int add(int a) { if(a == 9) return 1; else return (a+1); } int negative(int a) { if(a ==1) return 9; else return (a-1); } void swap(int &a ,int &b) { int temp ; temp = a; a = b; b =temp; } int hash_func(int u[]) { int sum =0; for(int i =1;i<=4;i++) { sum=sum*10 + u[i]; } return sum; } void bfs(int *u, int *password) { int i; int hash_number; int hash_pass = hash_func(password); data w,ww; queue<data>mqueue; for(i =1;i<=4;i++) w.a[i] = u[i]; w.count = 0; mqueue.push(w); visit1[hash_func(w.a)] = 1; if(hash_func(w.a) == hash_pass) return 0; while (!mqueue.empty()) { w = mqueue.front(); mqueue.pop(); for(i =1;i<=4;i++) { ww = w; ww.a[i] = add(ww.a[i]); //加1搜索 hash_number = hash_func(ww.a); if(!visit1[hash_number]) { if(hash_number ==hash_pass) { printf("%d\n",w.count); break; } else { visit1[hash_number] =1; ww.count++; mqueue.push(ww); } } ww = w; ww.a[i] = negative(ww.a[i]); //减1,搜索 hash_number = hash_func(ww.a); if(!visit1[hash_number]) { if(hash_number ==hash_pass) { printf("%d\n",w.count); break; } else { visit1[hash_number] = 1; ww.count++; mqueue.push(ww); } } } for( i =1;i<4;i++)//交换搜索 { ww = w; swap(ww.a[i],ww.a[i+1]); hash_number = hash_func(ww.a); if(!visit1[hash_number]) { if(hash_number ==hash_pass) { printf("%d\n",w.count); break; } else { visit1[hash_number] = 1; ww.count++; mqueue.push(ww); } } } } } int main() { int N; char s; int i,j; char pass; int a[5]; int b[5]; while(scanf("%d",&N)!=EOF) { for(int k =1;k<=N;k++) { memset(visit1,0,sizeof(visit1)); for (i =1 ;i<=4;i++) { cin>>s; a[i] = s-'0'; } for(i =1;i<=4;i++) { cin>>pass; b[i] = pass-'0'; } bfs(a,b); } } return 0; }