• UVa 12661 Funny Car Racing (dijkstra)


    题意:给定一个有向图,每条路有5个整数修饰,u, v, a, b, t,表示起点为u,终点为v,打开时间a,关闭时间为b,通过时间为t,打开关闭是交替进行的,

    问你从s到t最短时间是多少。

    析:使用dijkstra算法,从每个结点出发,求最短路,并维护时间的最小值,这个可以用优先队列,然后考虑能不能通过这条路,如果t<a,可以在输入时处理。

    代码如下:

    #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 <sstream>
    #define debug() puts("++++")
    #define gcd(a, b) __gcd(a, b)
    #define lson l,m,rt<<1
    #define rson m+1,r,rt<<1|1
    #define freopenr freopen("in.txt", "r", stdin)
    #define freopenw freopen("out.txt", "w", stdout)
    using namespace std;
    
    typedef long long LL;
    typedef unsigned long long ULL;
    typedef pair<int, int> P;
    const int INF = 0x3f3f3f3f;
    const double inf = 0x3f3f3f3f3f3f;
    const double PI = acos(-1.0);
    const double eps = 1e-5;
    const int maxn = 300 + 10;
    const int mod = 1e6;
    const int dr[] = {-1, 0, 1, 0};
    const int dc[] = {0, 1, 0, -1};
    const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
    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 bool is_in(int r, int c){
      return r >= 0 && r < n && c >= 0 && c < m;
    }
    struct Node{
      int to, a, b, t;
    };
    vector<Node> G[maxn];
    int d[maxn];
    
    int dijkstra(int s, int ttt){
      priority_queue<P, vector<P>, greater<P> > pq;
      pq.push(P(0, s));
      fill(d, d+n+1, INF);
      d[s] = 0;
    
      while(!pq.empty()){
        P p = pq.top();  pq.pop();
        if(p.second == ttt)  return p.first;
        int v = p.second;
        if(d[v] < p.first)  continue;
        for(int i = 0; i < G[v].size(); ++i){
          Node &u = G[v][i];
          int t =  p.first % (u.a+u.b);
          if(t + u.t <= u.a && d[u.to] > d[v] + u.t){
            d[u.to] = d[v] + u.t;
            pq.push(P(d[u.to], u.to));
          }
          else if(t + u.t > u.a){
            int tt = u.a + u.b - t + u.t;
            if(d[u.to] > d[v] + tt){
              d[u.to] = d[v] + tt;
              pq.push(P(d[u.to], u.to));
            }
          }
        }
      }
      return 0;
    }
    
    int main(){
      int kase = 0;
      int s, t;
      while(scanf("%d %d %d %d", &n, &m, &s, &t) == 4){
        int u, v, a, b, tt;
        for(int i = 1; i <= n; ++i)  G[i].clear();
        while(m--){
          scanf("%d %d %d %d %d", &u, &v, &a, &b, &tt);
          if(tt > a)  continue;
          G[u].push_back((Node){v, a, b, tt});
        }
        printf("Case %d: %d
    ", ++kase, dijkstra(s, t));
      }
      return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/dwtfukgv/p/6416423.html
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