[拓扑排序] PKU 1094 Sorting It All Out
第一道拓扑排序,拓扑排序的过程很简单:每次拿出一个入度为0的顶点放入solu[]尾部,并将它可以直接到达的顶点的入度减1;
对这道题需要得到唯一顺序,每次发现有多个入度为0的顶点时,说明还未排好序,此时不应该直接返回cannot be determined而是对所有入度为0的顶点执行上述操作,如果发现到某一步没有入度为0的顶点了说明出现矛盾,此时返回出现矛盾;
PS:这道题的输入有重复。
# include <cstdio> # include <cstring> # define N 26 + 1 int n, m; int in[N], tmp[N]; char ans[N], g[N][N]; int topsort(void) { bool multi = false; int cnt, i, first; for (i = 0; i < n; ++i) tmp[i] = in[i]; char vis[N]; memset(vis, 0, sizeof(char)*n); int c = 0; while(c < n) { cnt = 0; for (i = 0; i < n; ++i) if (!vis[i] && tmp[i] == 0) { ++cnt; if (cnt > 1) { multi = true; break; } else { vis[i] = 1; first = i; } } if (cnt == 0) return -1; for (i = 0; i < n; ++i) if (g[first][i]) --tmp[i]; if (multi == false) ans[c] = first+'A'; ++c; } if (multi == true) return 1; ans[c] = 0; return 0; } void solve(void) { char s[5]; int t, u, v; bool finished = false; for (int i = 1; i <= m; ++i) { scanf("%s", s); u = s[0]-'A', v = s[2]-'A'; if (!g[u][v]) g[u][v] = 1, ++in[v]; if (finished == false) { t = topsort(); if (t == 0) { printf("Sorted sequence determined after %d relations: %s.\n", i, ans); finished = true ; } else if (t == -1) { printf("Inconsistency found after %d relations.\n", i); finished = true ; } } } if (finished == false) printf("Sorted sequence cannot be determined.\n"); } void init(void) { for (int i = 0; i < n; ++i) { in[i] = 0; memset(g[i], 0, sizeof(char)*n); } } int main() { while (scanf("%d%d", &n, &m), n||m) { init(); solve(); } return 0; }