题目:给你一个6*6的平面,上面有一些方形(用1表示),问他们能不能拼成一个正方体。
分析:搜索、模拟。直接找到所有的可能的解,然后对平面进行旋转和翻转,匹配查找。
说明:uhunt和UVa最近都山不去啊。
所有的可能解如上图所示,直接打表匹配即可。
#include <cstdlib>
#include <cstdio>
int row[11] = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2};
int column[11] = {4, 4, 4 ,4 ,4 ,4 ,4 ,4 ,4 ,4 ,5};
int block[11][3][5] = {
1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0,
1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0,
1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0,
1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0,
0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0,
0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0,
1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0,
0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0,
0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0,
1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0,
1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0
};
int M[6][6], S[6][6];
int main()
{
int n;
while (~scanf("%d",&n))
while (n --) {
for (int i = 0; i < 6; ++ i)
for (int j = 0; j < 6; ++ j)
scanf("%d",&M[i][j]);
int find = 0;
for (int k = 0; k < 8; ++ k) {
for (int i = 0; i < 6; ++ i)
for (int j = 0; j < 6; ++ j)
S[i][j] = M[i][j];
for (int t = 0; t < 11 && !find; ++ t)
for (int x = 0; x <= 6-row[t] && !find; ++ x)
for (int y = 0; y <= 6-column[t] && !find; ++ y) {
int sum = 0;
for (int p = 0; p < row[t]; ++ p)
for (int q = 0; q < column[t]; ++ q)
if (S[x+p][y+q] && block[t][p][q])
sum ++;
if (sum == 6) {
find = 1;
break;
}
}
if (find) break;
for (int i = 0; i < 6; ++ i)
for (int j = 0; j < 6; ++ j)
M[i][j] = S[5-j][i];
if (k == 3) {//翻转
for (int i = 0; i < 6; ++ i)
for (int j = 0; j < i; ++ j) {
M[i][j] ^= M[j][i];
M[j][i] ^= M[i][j];
M[i][j] ^= M[j][i];
}
}
}
if (find)
puts("correct");
else puts("incorrect");
if (n) puts("");
}
return 0;
}