Pocket Cube
阿新 • • 發佈:2018-10-28
NPU bsp 中國石油 chmod blank ubi all include left
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.
Source
2016ACM/ICPC亞洲區青島站-重現賽(感謝中國石油大學)
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
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.
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
純模擬= =,訓練的時候腦抽沒寫出來
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
Pocket Cube