LA 2995 Image Is Everything 立方体成像 World Final 2004
有一个 n * n * n 的立方体,其中一些单位立方体已经缺失(剩下部分不一定连通)。每个单位立方体重 1 克,且被涂上单一的颜色(即 6 个面的一颜色相同)。给出前、左、后、右、顶、底 6 个视图,你的任务是判断这个屋里剩下的最大的重量。
看完这题之后,我满头雾水,不知道从何下手。后来模拟了一下数据,才知道怎么解决。
首先,一个单位立方体只有一种颜色,如果从不同的视图看到这个立方体的颜色不同,那么就删除这个立方体。通过这样循环删除,到最后所有的小立方体都符合题目所要求,就是最大的立方体数目,即最大的重量。
附AC代码:
1: #include <stdio.h>
2: #include <math.h>
3: #include <iostream>
4: #include <cstdarg>
5: #include <algorithm>
6: #include <string.h>
7: #include <stdlib.h>
8: #include <string>
9: #include <list>
10: #include <vector>
11: #include <map>
12: #define LL long long
13: #define M(a) memset(a, 0, sizeof(a))
14: #define orz(i, k) for(int i = 0; i < k; i++)
15: using namespace std;
16: int n;
17: void Clean(int count, ...)
18: {
19: va_list arg_ptr;
20: va_start (arg_ptr, count);
21: for (int i = 0; i < count; i++)
22: M(va_arg(arg_ptr, int*));
23: va_end(arg_ptr);
24: }
25: char Input()
26: {
27: char ch;
28: while (1)
29: {
30: ch = getchar();
31: if (ch >= 'A' && ch <= 'Z') return ch;
32: else if (ch == '.') return ch;
33: }
34: }
35:
36: void Get(int k, int i, int j, int len, int &x, int &y, int &z)
37: {
38: switch (k)
39: {
40: case 0: x = len, y = j, z = i; break;
41: case 1: x = n - 1 - j, y = len, z = i; break;
42: case 2: x = n - 1 - len, y = n - 1 - j, z = i; break;
43: case 3: x = j, y = n - 1 - len, z = i; break;
44: case 4: x = n - 1 - i, y = j, z = len; break;
45: case 5: x = i, y = j, z = n - 1 - len; break;
46: }
47: }
48:
49: char pos[10][10][10];
50: char view[6][10][10];
51: int main()
52: {
53: while (~scanf("%d", &n) && n)
54: {
55: Clean(1, view);
56:
57: orz(i, n) orz(j, 6) orz(k, n) view[j][i][k] = Input();
58: orz(i, n) orz(j, n) orz(k, n) pos[i][j][k] = '#';
59: orz(k, 6) orz(i, n) orz(j, n)
60: {
61: if (view[k][i][j] == '.')
62: {
63: orz(l, n)
64: {
65: int x, y, z;
66: Get(k, i, j, l, x, y, z);
67: pos[x][y][z] = '.';
68: }
69: }
70: }
71: while (1)
72: {
73: bool done = true;
74: orz(k, 6) orz(i, n) orz(j, n)
75: {
76: orz(l, n)
77: {
78: int x, y, z;
79: Get(k, i, j, l, x, y, z);
80: if (pos[x][y][z] == '.') continue;
81: else if (pos[x][y][z] == '#')
82: {
83: pos[x][y][z] = view[k][i][j];
84: break;
85: }
86: if (pos[x][y][z] == view[k][i][j]) break;
87: pos[x][y][z] = '.';
88: done = false;
89: }
90: }
91: if (done == true) break;
92: }
93: int res = 0;
94: orz(i, n) orz(j, n) orz(k, n)
95: if (pos[i][j][k] != '.') res += 1;
96: printf("Maximum weight: %d gram(s)\n", res);
97: }
98: return 0;
99: }