[洛谷P1341]無序字母對
阿新 • • 發佈:2018-11-25
題目大意:給一張無向圖,找一條字典序最小的尤拉路徑
題解:若圖不連通或有兩個以上的奇數點,則沒有尤拉路徑,可以$dfs$,在回溯時把這個節點加入答案
卡點:沒有在回溯時加入答案,導致出現了尤拉路徑沒走環(少走了一段)
C++ Code:
#include <cstdio> #include <cctype> #include <algorithm> #define maxn 60 int m, start = 52, ind[maxn]; int v[maxn], n, ret[256]; bool e[maxn][maxn]; char ans[maxn * maxn]; int f[maxn]; int find(int x) {return x == f[x] ? x : (f[x] = find(f[x]));} void dfs(int u) { for (int i = 1; i <= n; i++) if (e[u][i]) { e[u][i] = e[i][u] = false; dfs(i); } ans[m--] = v[u]; } int main() { scanf("%d", &m); for (int i = 'A'; i <= 'Z'; i++) v[++n] = i, ret[i] = n; for (int i = 'a'; i <= 'z'; i++) v[++n] = i, ret[i] = n; for (int i = 1; i <= n; i++) f[i] = i; for (int i = 0; i < m; i++) { char ch = getchar(); while (!isalpha(ch)) ch = getchar(); int a = ret[static_cast<int> (ch)], b; ch = getchar(); while (!isalpha(ch)) ch = getchar(); b = ret[static_cast<int> (ch)]; start = std::min(start, std::min(a, b)); e[a][b] = e[b][a] = true; ind[a]++, ind[b]++; f[find(a)] = find(b); } int cnt = 0; for (int i = 1; i <= n; i++) if (ind[i] && f[i] == i) cnt++; if (cnt > 1) { puts("No Solution"); return 0; } cnt = 0; for (int i = 1; i <= n; i++) if (ind[i] & 1) { if (!cnt) start = i; cnt++; } if (cnt > 2) { puts("No Solution"); return 0; } dfs(start); puts(ans); return 0; }