Pocket Cube

Posted 2021-01-15 fighting-sh

Pocket Cube

http://acm.hdu.edu.cn/showproblem.php?pid=5983

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 2852    Accepted Submission(s): 1066

Problem Description

The Pocket Cube, also known as the Mini Cube or the Ice Cube, is the 2 × 2 × 2 equivalence of a Rubik’s Cube.
The cube consists of 8 pieces, all corners.
Each piece is labeled by a three dimensional coordinate (h, k, l) where h, k, l ∈ {0, 1}. Each of the six faces owns four small faces filled with a positive integer.
For each step, you can choose a certain face and turn the face ninety degrees clockwise or counterclockwise.
You should judge that if one can restore the pocket cube in one step. We say a pocket cube has been restored if each face owns four same integers.

 

 

Input

The first line of input contains one integer N(N ≤ 30) which is the number of test cases.
For each test case, the first line describes the top face of the pocket cube, which is the common 2 × 2 face of pieces
labelled by (0, 0, 1),(0, 1, 1),(1, 0, 1),(1, 1, 1). Four integers are given corresponding to the above pieces.
The second line describes the front face, the common face of (1, 0, 1),(1, 1, 1),(1, 0, 0),(1, 1, 0). Four integers are
given corresponding to the above pieces.
The third line describes the bottom face, the common face of (1, 0, 0),(1, 1, 0),(0, 0, 0),(0, 1, 0). Four integers are
given corresponding to the above pieces.
The fourth line describes the back face, the common face of (0, 0, 0),(0, 1, 0),(0, 0, 1),(0, 1, 1). Four integers are
given corresponding to the above pieces.
The fifth line describes the left face, the common face of (0, 0, 0),(0, 0, 1),(1, 0, 0),(1, 0, 1). Four integers are given
corresponding to the above pieces.
The six line describes the right face, the common face of (0, 1, 1),(0, 1, 0),(1, 1, 1),(1, 1, 0). Four integers are given
corresponding to the above pieces.
In other words, each test case contains 24 integers a, b, c to x. You can flat the surface to get the surface development
as follows.

+ - + - + - + - + - + - +
| q | r | a | b | u | v |
+ - + - + - + - + - + - +
| s | t | c | d | w | x |
+ - + - + - + - + - + - +
        | e | f |
        + - + - +
        | g | h |
        + - + - +
        | i | j |
        + - + - +
        | k | l |
        + - + - +
        | m | n |
        + - + - +
        | o | p |
        + - + - +

 

 

Output

For each test case, output YES if can be restored in one step, otherwise output NO.

 

 

Sample Input

4

1 1 1 1

2 2 2 2

3 3 3 3

4 4 4 4

5 5 5 5

6 6 6 6

6 6 6 6

1 1 1 1

2 2 2 2

3 3 3 3

5 5 5 5

4 4 4 4

1 4 1 4

2 1 2 1

3 2 3 2

4 3 4 3

5 5 5 5

6 6 6 6

1 3 1 3

2 4 2 4

3 1 3 1

4 2 4 2

5 5 5 5

6 6 6 6

 

Sample Output

YES

YES

YES

NO

 

 

Source

2016ACM/ICPC亚洲区青岛站-重现赛（感谢中国石油大学）

 

纯模拟= =，训练的时候脑抽没写出来

  1 #include<iostream>
  2 #include<cstring>
  3 #include<string>
  4 #include<cmath>
  5 #include<cstdio>
  6 #include<algorithm>
  7 #include<vector>
  8 #define maxn 200005
  9 #define lson l,mid,rt<<1
 10 #define rson mid+1,r,rt<<1|1
 11 using namespace std;
 12 
 13 int map[7][5];
 14 
 15 bool Check(){
 16     int flag;
 17     for(int i=1;i<=6;i++){
 18         flag=map[i][1];
 19         for(int j=2;j<=4;j++){
 20             if(flag!=map[i][j]){
 21                 return false;
 22             }
 23         }
 24     }
 25     return true;
 26 }
 27 
 28 int _init_[7][5];
 29 
 30 void init(){
 31     for(int i=1;i<=6;i++){
 32         for(int j=1;j<=4;j++){
 33             map[i][j]=_init_[i][j];
 34         }
 35     }
 36 }
 37 
 38 int main(){
 39 
 40     int t;
 41     cin>>t;
 42     while(t--){
 43         for(int i=1;i<=6;i++){
 44             for(int j=1;j<=4;j++){
 45                 cin>>_init_[i][j];
 46             }
 47         }
 48         int tmp1,tmp2;
 49         init();
 50         if(Check()){
 51             cout<<"YES"<<endl;
 52             continue;
 53         }
 54         //1
 55         init();
 56         tmp1=map[1][1],tmp2=map[1][3];
 57         map[1][1]=map[2][1],map[1][3]=map[2][3];
 58         map[2][1]=map[3][1],map[2][3]=map[3][3];
 59         map[3][1]=map[4][1],map[3][3]=map[4][3];
 60         map[4][1]=tmp1,map[4][3]=tmp2;
 61         if(Check()){
 62             cout<<"YES"<<endl;
 63             continue;
 64         }
 65         init();
 66         tmp1=map[1][1],tmp2=map[1][3];
 67         map[1][1]=map[4][1],map[1][3]=map[4][3];
 68         map[4][1]=map[3][1],map[4][3]=map[3][3];
 69         map[3][1]=map[2][1],map[3][3]=map[2][3];
 70         map[2][1]=tmp1,map[2][3]=tmp2;
 71         if(Check()){
 72             cout<<"YES"<<endl;
 73             continue;
 74         }
 75         //2
 76         init();
 77         tmp1=map[2][1],tmp2=map[2][2];
 78         map[2][1]=map[6][3],map[2][2]=map[6][1];
 79         map[6][3]=map[4][4],map[6][1]=map[4][3];
 80         map[4][4]=map[5][2],map[4][3]=map[5][4];
 81         map[5][2]=tmp1,map[5][4]=tmp2;
 82         if(Check()){
 83             cout<<"YES"<<endl;
 84             continue;
 85         }
 86         init();
 87         tmp1=map[5][2],tmp2=map[5][4];
 88         map[5][2]=map[4][4],map[5][4]=map[4][3];
 89         map[4][4]=map[6][3],map[4][3]=map[6][1];
 90         map[6][3]=map[2][1],map[6][1]=map[2][2];
 91         map[2][1]=tmp1,map[2][2]=tmp2;
 92         if(Check()){
 93             cout<<"YES"<<endl;
 94             continue;
 95         }
 96         //3
 97         init();
 98         tmp1=map[3][1],tmp2=map[3][2];
 99         map[3][1]=map[6][4],map[3][2]=map[6][3];
100         map[6][4]=map[1][4],map[6][3]=map[1][3];
101         map[1][4]=map[5][4],map[1][3]=map[5][3];
102         map[5][4]=tmp1,map[5][3]=tmp2;
103         if(Check()){
104             cout<<"YES"<<endl;
105             continue;
106         }
107         init();
108         tmp1=map[5][4],tmp2=map[5][3];
109         map[5][4]=map[1][4],map[5][3]=map[1][3];
110         map[1][4]=map[6][4],map[1][3]=map[6][3];
111         map[6][4]=map[3][1],map[6][3]=map[3][2];
112         map[3][1]=tmp1,map[3][2]=tmp2;
113         if(Check()){
114             cout<<"YES"<<endl;
115             continue;
116         }
117         cout<<"NO"<<endl;
118     }
119 
120 }

View Code