HS BDC HDU - 3472(混合欧拉路径)

题意:

  就是混合欧拉路径板题

解析:

  欧拉路径加一条t_ ---> s_  的边就变成了欧拉回路,所以利用这一点,如果存在两个奇点,那么这两个奇点出度大的是s_,入度大的是t_,加一条t_ ---> s_的容量为1的边即可

然后混合欧拉回路板题

#include <iostream>
#include <cstdio>
#include <sstream>
#include <cstring>
#include <map>
#include <cctype>
#include <set>
#include <vector>
#include <stack>
#include <queue>
#include <algorithm>
#include <cmath>
#include <bitset>
#define rap(i, a, n) for(int i=a; i<=n; i++)
#define rep(i, a, n) for(int i=a; i<n; i++)
#define lap(i, a, n) for(int i=n; i>=a; i--)
#define lep(i, a, n) for(int i=n; i>a; i--)
#define rd(a) scanf("%d", &a)
#define rlld(a) scanf("%lld", &a)
#define rc(a) scanf("%c", &a)
#define rs(a) scanf("%s", a)
#define pd(a) printf("%d\n", a);
#define plld(a) printf("%lld\n", a);
#define pc(a) printf("%c\n", a);
#define ps(a) printf("%s\n", a);
#define MOD 2018
#define LL long long
#define ULL unsigned long long
#define Pair pair<int, int>
#define mem(a, b) memset(a, b, sizeof(a))
#define _  ios_base::sync_with_stdio(0),cin.tie(0)
//freopen("1.txt", "r", stdin);
using namespace std;
const int maxn = 10010, INF = 0x7fffffff, LL_INF = 0x7fffffffffffffff;
int n, m, s, t, cnt;
int f[maxn], deg[maxn], in[maxn], out[maxn], vis[maxn];
int d[maxn], head[maxn], cur[maxn];
set<int> ss;

int find(int x)
{
    return f[x] == x ? x : (f[x] = find(f[x]));
}

void init()
{
    for(int i = 0; i < maxn; i++) f[i] = i;
    mem(in, 0);
    mem(head, -1);
    mem(out, 0);
    cnt = 0;
    mem(vis, 0);
    ss.clear();
}

struct edge
{
    int u, v, c, next;
}Edge[maxn];

void add_(int u, int v, int c)
{
    Edge[cnt].u = u;
    Edge[cnt].v = v;
    Edge[cnt].c = c;
    Edge[cnt].next = head[u];
    head[u] = cnt++;
}

void add(int u, int v, int c)
{
    add_(u, v, c);
    add_(v, u, 0);
}

bool bfs()
{
    queue<int> Q;
    mem(d, 0);
    Q.push(s);
    d[s] = 1;
    while(!Q.empty())
    {
        int u = Q.front(); Q.pop();
        for(int i = head[u]; i != -1; i = Edge[i].next)
        {
            edge e = Edge[i];
            if(!d[e.v] && e.c > 0)
            {
                d[e.v] = d[e.u] + 1;
                Q.push(e.v);
                if(e.v == t) return 1;
            }
        }
    }
    return d[t] != 0;
}

int dfs(int u, int cap)
{
    int ret = 0;
    if(u == t || cap == 0)
        return cap;
    for(int &i = cur[u]; i != -1; i = Edge[i].next)
    {
        edge e = Edge[i];
        if(d[e.v] == d[u] + 1 && e.c > 0)
        {
            int V = dfs(e.v, min(cap, e.c));
            Edge[i].c -= V;
            Edge[i^1].c += V;
            ret += V;
            cap -= V;
            if(cap == 0) break;
        }
    }
    if(cap > 0) d[u] = -1;
    return ret;
}

int Dinic(int u)
{
    int ans = 0;
    while(bfs())
    {
        memcpy(cur, head, sizeof(head));
        ans += dfs(u, INF);
    }
    return ans;
}

int main()
{
    int T, kase = 0;
    cin >> T;
    while(T--)
    {
        string str;
        int u, v, w;
        cin >> n;
        init();
        s = 0, t = 30;
        for(int i = 1; i <= n; i++)
        {
            cin >> str >> w;
            u = str[0] - 'a' + 1, v = str[str.size() - 1] - 'a' + 1;
            vis[u] = vis[v] = 1;
            in[v]++, out[u]++;
            if(u != v && w == 0) add(u, v, 1);
            int l = find(u);
            int r = find(v);
            if(l != r) f[l] = r;
        }
        int flag = 0, m_sum = 0, s_ = INF, t_ = INF;
        for(int i = 1; i <= 26; i++)
        {
            int x = find(i);
            if(vis[x]) ss.insert(x);
            if(abs(out[i] - in[i]) & 1)
            {
                if(out[i] > in[i]) s_ = i;
                else t_ = i;
                if(++flag > 2) break;
            }
            if(out[i] > in[i]) add(s, i, (out[i] - in[i]) / 2), m_sum += (out[i] - in[i]) / 2;
            else if(in[i] > out[i]) add(i, t, (in[i] - out[i]) / 2);

        }
        if(s_ != INF && t_ != INF) add(t_, s_,  1);
     //   cout << flag << "   " << ss.size() << endl;
        printf("Case %d: ", ++kase);
        if(flag > 2 || ss.size() > 1 || flag == 1)
        {
            cout << "Poor boy!" << endl;
            continue;
        }
        if(m_sum == Dinic(s))
            cout << "Well done!" << endl;
        else
            cout << "Poor boy!" << endl;

    }

    return 0;
}

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转载自www.cnblogs.com/WTSRUVF/p/9760305.html
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