• SOJ 1171. The Game of Efil


    解题技巧:

      1.地图扩展expand().

      2.目标状态压缩。

    代码如下:

     1 #include <iostream>
     2 #include <cstdio>
     3 using namespace std;
     4 
     5 const int maxm = 18;
     6 const int maxn = 18;
     7 int m, n;
     8 
     9 int dm[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
    10 int dn[8] = {-1, 0, 1, -1, 1, -1, 0, 1};
    11 
    12 bool altas[maxm][maxn];
    13 int target; // 目标状态压缩
    14 int ans;
    15 
    16 void expand() {
    17     for (int i = 1; i <= n; ++i) {
    18         altas[0][i] = altas[m][i];
    19         altas[m + 1][i] = altas[1][i];
    20     }
    21     for (int i = 1; i <= m; ++i) {
    22         altas[i][0] = altas[i][n];
    23         altas[i][n + 1] = altas[i][1];
    24     }
    25     altas[0][0] = altas[m][n];
    26     altas[0][n + 1] = altas[m][1];
    27     altas[m + 1][0] = altas[1][n];
    28     altas[m + 1][n + 1] = altas[1][1];
    29 }
    30 
    31 int neighborCount(int i, int j) {
    32     int count = 0;
    33     for (int k = 0; k < 8; ++k) {
    34         int next_i = i + dm[k];
    35         int next_j = j + dn[k];
    36         if (altas[next_i][next_j])
    37             ++count;
    38     }
    39     return count;
    40 }
    41 
    42 bool hasLife(int i, int j) {
    43     int neighbors = neighborCount(i, j);
    44     bool hasCell = false;
    45     if (altas[i][j] && 2 <= neighbors && neighbors <= 3) {  // 如果原先有生命,并且邻居的数量是2-3,则存活
    46         hasCell = true;
    47     } else if (!altas[i][j] && neighbors == 3){
    48         hasCell = true;
    49     }
    50     return hasCell;
    51 }
    52 
    53 void dfs(int cur) {
    54     if (cur == m * n) {
    55         expand();
    56         int status = 0;
    57         for (int i = 1; i <= m; ++i) {
    58             for (int j = 1; j <= n; ++j) {
    59                 if (hasLife(i, j)) {
    60                     status += 1 << ((i - 1)*n + (j - 1));
    61                 }
    62             }
    63         }
    64         if (status == target)
    65             ++ans;
    66         return;
    67     }
    68     int cur_m = cur / n;
    69     int cur_n = cur % n;
    70     altas[cur_m + 1][cur_n + 1] = true;
    71     dfs(cur + 1);
    72     altas[cur_m + 1][cur_n + 1] = false;
    73     dfs(cur + 1);
    74 }
    75 
    76 int main() {
    77     int cases = 0;
    78     while (++cases, scanf("%d%d", &m, &n), m != 0 && n != 0) {
    79         int t; scanf("%d", &t); target = 0; ans = 0;
    80         int ta, tb;
    81         while (t--) {
    82             scanf("%d%d", &ta, &tb);
    83             target += 1 << (ta*n + tb);
    84         }
    85         dfs(0);
    86         cout << "Case " << cases << ": ";
    87         ans == 0 ? (cout << "Garden of Eden." << endl) : (cout << ans << " possible ancestors." << endl);
    88     }
    89     return 0;
    90 }
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  • 原文地址:https://www.cnblogs.com/mchcylh/p/5113131.html
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