SGU 101 AC

总算AC了，好帅气的算法，同时解决了自环跟非连通，一种自下向上找环的算法过程，这里把欧拉回路讲得很清楚，赞。

#include <iostream>
#include <vector>
#include <string>
#include <queue>
#include <map>
#include <string.h>
using namespace std;

class Edge {
public:
    int no, u, v;
    char d;
    Edge() {
        no = u = v = d = -1;
    }
    Edge reverse() {
        Edge rev;
        rev.no = no;
        rev.u = v;
        rev.v = u;
        rev.d = d == '+' ? '-' : '+';
        return rev;
    }
};

class Graph {
private:
    map<int, int> u2i;
    vector<vector<Edge> > G;
    int deg[210], n, no, use[105], vUse[210];
    vector<Edge> solution;
public:
    Graph(vector<Edge>& edges) {
        n = edges.size();
        makeU2I(edges);
        memset(deg, 0, sizeof(deg));
        G.clear();
        G.resize(no);
        for (int i = 0; i < edges.size(); i++) {
            G[u2i[edges[i].u]].push_back(edges[i]);
            G[u2i[edges[i].v]].push_back(edges[i].reverse());
            deg[u2i[edges[i].u]]++;
            deg[u2i[edges[i].v]]++;
        }
    }
    void makeU2I(vector<Edge>& edges) {
        u2i.clear();
        for (int i = 0; i < edges.size(); i++) {
            u2i[edges[i].u] = u2i[edges[i].v] = 0;
        }
        no = 0;
        for (map<int, int>::iterator it = u2i.begin(); it != u2i.end(); it++) {
            it->second = no++;
        }
    }
    int solve() {
        int beg = -1, end = -1;
        for (int i = 0; i < no; i++) {
            if (deg[i] & 1) {
                if (beg == -1) {
                    beg = i;
                } else if (end == -1) {
                    end = i;
                } else {
                    return -1;
                }
            }
        }
        if (beg == -1) {
            beg = 0;
        }
        memset(use, 0, sizeof(use));
        Edge begEdge;
        dfs(beg, -1, begEdge);
        if (solution.size() < n) {
            // 判连通
            return -1;
        }
        return 0;
    }
    void dfs(int u, int sign, Edge lastEdge) {
        for (int i = 0; i < G[u].size(); i++) {
            if (use[G[u][i].no] == 0) {
                use[G[u][i].no] = 1;
                dfs(u2i[G[u][i].v], 1, G[u][i]);
            }
        }

        if (sign > 0) {
            solution.push_back(lastEdge);
        }
    }
    void getSolution() {
        for (int i = solution.size() - 1; i >= 0; i--) {
            printf("%d %c
", solution[i].no, solution[i].d);
        }
    }
};

int main()
{
    int n;
    scanf("%d", &n);

    vector<Edge> edges;
    for (int i = 0; i < n; i++) {
        int a, b;
        scanf("%d%d", &a, &b);

        Edge e;
        e.no = i + 1;
        e.u = a; e.v = b;
        e.d = '+';

        edges.push_back(e);        
    }

    Graph graph(edges);
    if (graph.solve() == -1) {
        printf("No solution
");
    } else {
        graph.getSolution();
    }

    //system("pause");
}