UVa 1161 Objective: Berlin (最大流)

题意：给定一些航班，每个航班有人数，和起始终止时间，每次转机要花半小时，问限制时间内最多能有多少人从起始城市到终点城市。

析：差不多是裸板网络流的最大流问题，把每个航班都拆成两个点，这两个点之间连接一条流量为这个航班的容量，然后再暴力去查看能不能连接，如果能，

那么就连接一条容量无限的边，然后在源点和汇点加一个无限的容量边。

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <cstring>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#include <map>
#include <cctype>
#include <cmath>
#include <stack>
#include <unordered_map>
//#include <tr1/unordered_map>
#define freopenr freopen("in.txt", "r", stdin)
#define freopenw freopen("out.txt", "w", stdout)
using namespace std;
//using namespace std :: tr1;

typedef long long LL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const double inf = 0x3f3f3f3f3f3f;
const LL LNF = 0x3f3f3f3f3f3f;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 10005;
const LL mod = 10000000000007;
const int N = 1e6 + 5;
const int dr[] = {-1, 0, 1, 0, 1, 1, -1, -1};
const int dc[] = {0, 1, 0, -1, 1, -1, 1, -1};
const int hr[]= {-2, -2, -1, -1, 1, 1, 2, 2};
const int hc[]= {-1, 1, -2, 2, -2, 2, -1, 1};
const char *Hex[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
inline LL gcd(LL a, LL b){  return b == 0 ? a : gcd(b, a%b); }
int n, m;
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
inline int Min(int a, int b){ return a < b ? a : b; }
inline int Max(int a, int b){ return a > b ? a : b; }
inline LL Min(LL a, LL b){ return a < b ? a : b; }
inline LL Max(LL a, LL b){ return a > b ? a : b; }
inline bool is_in(int r, int c){
    return r >= 0 && r < n && c >= 0 && c < m;
}
const int maxm = 1000005;

struct Edge{
    int v, f, next;
};
int src, sink;
int g[maxn];
int nume;
Edge e[maxm];
map<string, int> mp;
int cnt;

int getid(const string &s){
    return mp.count(s) ? mp[s] : mp[s] = cnt++;
}

void add(int u, int v, int c){
    e[++nume].v = v;
    e[nume].f = c;
    e[nume].next = g[u];
    g[u] = nume;
    e[++nume].v = u;
    e[nume].f = 0;
    e[nume].next = g[v];
    g[v] = nume;
}

queue<int> q;
bool vis[maxn + 10];
int d[maxn + 10];

void bfs(){
    memset(d, 0, sizeof d);
    while(!q.empty())  q.pop();
    vis[src] = true;
    q.push(src);
    while(!q.empty()){
        int u = q.front();  q.pop();
        for(int i = g[u]; i; i = e[i].next)
            if(e[i].f && !vis[e[i].v]){
                q.push(e[i].v);
                d[e[i].v] = d[u] + 1;
                vis[e[i].v] = true;
            }
    }
}

int dfs(int u, int del){
    if(u == sink)  return del;
    int ans = 0;
    for(int i = g[u]; i && del; i = e[i].next)
        if(e[i].f && d[e[i].v] == d[u] + 1){
            int dd = dfs(e[i].v, Min(e[i].f, del));
            e[i].f -= dd;
            e[i^1].f += dd;
            del -= dd;
            ans += dd;
        }
    return ans;
}

int maxflow(){
    int ans = 0;
    while(true){
        memset(vis, 0, sizeof vis);
        bfs();
        if(!vis[sink])  return ans;
        ans += dfs(src, INF);
    }
}
char s[105], t[105];
struct node{
    int u, v, c, start, last;
};
node a[maxm];

int cal(char *s){
    int ans = 0;
    ans += ((s[0] - '0') * 10 + s[1] - '0') * 60;
    ans += ((s[2] - '0') * 10 + s[3] - '0');
    return ans;
}

bool judge(const node &lhs, const node &rhs){
    return lhs.v == rhs.u && lhs.last + 30 <= rhs.start;
}

int main(){
    while(scanf("%d", &n) == 1){
        scanf("%s", s);
        cnt = 0;
        mp.clear();
        int ss = getid(s);
        scanf("%s", t);
        int tt = getid(t);
        memset(g, 0, sizeof g);
        nume = 1;
        int time;
        scanf("%s", s);
        time = cal(s);
        scanf("%d", &m);
        char start[10], last[10];
        src = 0; sink = 2 * m + 1;
        for(int i = 1; i <= m; ++i){
            scanf("%s %s %d %s %s", s, t, &a[i].c, start, last);
            a[i].u = getid(s);
            a[i].v = getid(t);
            a[i].start = cal(start);
            a[i].last = cal(last);
        }
        for(int i = 1; i <= m; ++i){
            if(a[i].u == ss)  add(0, i, INF);
            if(a[i].v == tt && a[i].last <= time)  add(i+m, 2*m+1, INF);
            add(i, i+m, a[i].c);
            for(int j = 1; j <= m; ++j)
                if(i != j && judge(a[i], a[j]))  add(i+m, j, INF);
        }
        printf("%d\n", maxflow());
    }
    return 0;
}