📄 2344.cpp
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/* This Code is Submitted by wywcgs for Problem 2344 on 2006-09-09 at 10:36:51 */
#include <cstdio>
#include <cstring>
#include <map>
#include <algorithm>
using namespace std;
const int FACE[][6] = { { 3, 1, 2, 6, 5, 4 }, { 3, 2, 6, 5, 1, 4 }, { 3, 6, 5, 1, 2, 4 },
{ 3, 5, 1, 2, 6, 4 }, { 4, 1, 5, 6, 2, 3 }, { 4, 5, 6, 2, 1, 3 },
{ 4, 6, 2, 1, 5, 3 }, { 4, 2, 1, 5, 6, 3 }, { 1, 2, 3, 5, 4, 6 },
{ 1, 3, 5, 4, 2, 6 }, { 1, 5, 4, 2, 3, 6 }, { 1, 4, 2, 3, 5, 6 },
{ 6, 2, 4, 5, 3, 1 }, { 6, 4, 5, 3, 2, 1 }, { 6, 5, 3, 2, 4, 1 },
{ 6, 3, 2, 4, 5, 1 }, { 2, 1, 4, 6, 3, 5 }, { 2, 4, 6, 3, 1, 5 },
{ 2, 6, 3, 1, 4, 5 }, { 2, 3, 1, 4, 6, 5 }, { 5, 1, 3, 6, 4, 2 },
{ 5, 3, 6, 4, 1, 2 }, { 5, 6, 4, 1, 3, 2 }, { 5, 4, 1, 3, 6, 2 } };
struct cmp {
bool operator ()(const char* s1, const char* s2) const
{ return strcmp(s1, s2) < 0; }
};
char name[1024][36];
int cn, best, pos[4], n;
map<char*, int, cmp> dict;
int order(char*);
class Cube {
public:
int f[6], pos;
void make();
int face(int k) const { return f[k-1]; }
};
void Cube::make() {
for(int i = 0; i < 6; i++) {
char nm[36]; scanf("%s", nm);
f[i] = order(nm);
}
}
Cube cube[4];
void find(int);
int main()
{
while(scanf("%d", &n) != EOF && n != 0) {
dict.clear();
cn = 0; best = 1 << 20;
for(int i = 0; i < n; i++) cube[i].make();
pos[0] = 0; find(1);
printf("%d\n", best);
}
return 0;
}
int order(char* nm)
{
if(!dict.count(nm)) {
strcpy(name[cn], nm);
dict[name[cn]] = cn;
cn++;
}
return dict.find(nm)->second;
}
void find(int k)
{
if(k != n) {
for(int i = 0; i < 24; i++) { pos[k] = i; find(k+1); }
} else {
int tb = 0;
for(int i = 0; i < 6; i++) {
int sn = 1 << 20;
for(int j = 0; j < n; j++) {
int tx = 0;
for(int x = 0; x < n; x++)
if(cube[j].face(FACE[pos[j]][i]) == cube[x].face(FACE[pos[x]][i])) tx++;
sn <?= n-tx;
}
tb += sn;
}
best <?= tb;
}
}
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