Posted on 2009-03-18 12:04
lzmagic 閱讀(1224)
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/**
* FloodFill算法，深度遍歷搜索。
*/
#include <iostream>
#include <map>
using namespace std;
struct Cube
{
bool used; // 是否已經使用
int cood[4]; // 坐標
int neighbor[4][2]; // 相鄰標識號
};
void FloodFill(int row, int cnt, Cube *cube, int maxmin[4][2])
{
if (cube[row].used == false)
{
cube[row].used = true;
int i, j, k, row2;
for (i = 0; i < 4; ++i)
for (j = 0; j < 2; ++j)
if (cube[row].neighbor[i][j] != -1 && cube[cube[row].neighbor[i][j]].used == false)
{
row2 = cube[row].neighbor[i][j];
for (k = 0; k < 4; ++k)
cube[row2].cood[k] = cube[row].cood[k];
if (j == 0)
{
++cube[row2].cood[i];
if (maxmin[i][0] < cube[row2].cood[i])
maxmin[i][0] = cube[row2].cood[i];
}
else
{
--cube[row2].cood[i];
if (maxmin[i][1] > cube[row2].cood[i])
maxmin[i][1] = cube[row2].cood[i];
}
FloodFill(row2, cnt, cube, maxmin);
}
}
}
int main(int argc, char** argv) {
bool ok;
int cnt; // 1 <= cnt <= 100
int maxmin[4][2];
int minv;
Cube cube[100];
map <int, int> idmap;
int t, i, j, k, id;
for (cin >> t; t > 0; --t)
{
// 輸入數據
cin >> cnt;
idmap.clear();
for (i = 0; i < cnt; ++i)
{
cube[i].used = false;
cin >> id;
idmap[id] = i;
for (j = 0; j < 4; ++j)
for (k = 0; k < 2; ++k)
cin >> cube[i].neighbor[j][k];
}
// 標識號改為對應的行號
for (i = 0; i < cnt; ++i)
for (j = 0; j < 4; ++j)
for (k = 0; k < 2; ++k)
cube[i].neighbor[j][k] = (cube[i].neighbor[j][k] == 0) ? -1 : idmap[cube[i].neighbor[j][k]];
// 判斷是否對稱
ok = true;
for (i = 0; i < cnt && ok; ++i)
for (j = 0; j < 4 && ok; ++j)
for (k = 0; k < 2 && ok; ++k)
if (cube[i].neighbor[j][k] != -1 && cube[cube[i].neighbor[j][k]].neighbor[j][1 - k] != i)
ok = false;
if (!ok)
{
cout << "Inconsistent" << endl;
continue;
}
// Flood Fill 算法 (種子染色法)
for (i = 0; i < 4; ++i) cube[i].cood[i] = 0;
for (i = 0; i < 4; ++i) maxmin[i][0] = maxmin[i][1] = 0;
FloodFill(0, cnt, cube, maxmin);
// 判斷是否連通
ok = true;
for (i = 0; i < cnt && ok; ++i)
if (cube[i].used == false)
ok = false;
if (!ok)
{
cout << "Inconsistent" << endl;
continue;
}
// 計算最小體積
minv = 1;
for (i = 0; i < 4; ++i)
minv *= maxmin[i][0] - maxmin[i][1] + 1;
cout << minv << endl;
}
return 0;
}
測試數據：
Input:
6
9
1 2 3 4 5 6 7 8 9
2 0 1 0 0 0 0 0 0
3 1 0 0 0 0 0 0 0
4 0 0 0 1 0 0 0 0
5 0 0 1 0 0 0 0 0
6 0 0 0 0 0 1 0 0
7 0 0 0 0 1 0 0 0
8 0 0 0 0 0 0 0 1
9 0 0 0 0 0 0 1 0
2
3 0 0 1 0 0 0 0 0
1 0 0 3 0 0 0 0 0
4
1 2 0 0 0 0 0 0 0
2 0 1 0 0 0 0 0 0
3 0 0 4 0 0 0 0 0
4 0 0 0 3 0 0 0 0
5
101 2 0 0 0 0 0 0 0
2 0 101 321 0 0 0 0 0
321 4 0 0 2 0 0 0 0
4 5 321 0 0 0 0 0 0
5 0 4 0 0 0 0 0 0
1
10 0 0 0 0 0 0 0 0
4
1 0 2 4 0 0 0 0 0
2 1 0 3 0 0 0 0 0
3 4 0 0 2 0 0 0 0
4 0 3 0 1 0 0 0 0
Output:
81
Inconsistent
Inconsistent
8
1
4