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  • Gym

    http://codeforces.com/gym/100625/attachments/download/3213/2013-benelux-algorithm-programming-contest-bapc-13-en.pdf

    题意:给你一张无向图,t个可能的目的地,问在这t个点中哪些点的最短路中经过了g和h

    思路:这是傻逼题,我直接dijstra用vector< set<int> > 保存路径, 最后再去判断下。。好像这并不是出题者想要的解法,不过时间还可以,300+ms

      1 #pragma comment(linker, "/STACK:1000000000")
      2 #include <iostream>
      3 #include <cstdio>
      4 #include <fstream>
      5 #include <algorithm>
      6 #include <cmath>
      7 #include <deque>
      8 #include <vector>
      9 #include <queue>
     10 #include <string>
     11 #include <cstring>
     12 #include <map>
     13 #include <stack>
     14 #include <set>
     15 #define LL long long
     16 #define MAXN 100005
     17 #define INF 0x3f3f3f3f
     18 #define eps 1e-8
     19 using namespace std;
     20 struct Edge
     21 {
     22     int from, to, dist;
     23     Edge(int from, int to, int dist):from(from), to(to), dist(dist){};
     24 };
     25 struct HeapNode
     26 {
     27     int d, u;
     28     HeapNode(int d, int u):d(d), u(u){};
     29     bool operator <(const HeapNode& rhs) const{
     30         return d > rhs.d;
     31     }
     32 };
     33 vector< set<int> > road[MAXN];
     34 struct Dijstra
     35 {
     36     int n, m;
     37     vector<Edge> edges;
     38     vector<int> G[MAXN];
     39     bool done[MAXN];
     40     int d[MAXN];
     41     int p[MAXN];
     42 
     43     void init(int n){
     44         this->n = n;
     45         for(int i = 0; i <= n; i++){
     46             G[i].clear();
     47             road[i].clear();
     48         }
     49         edges.clear();
     50     }
     51 
     52     void AddEdge(int from, int to, int dist){
     53         edges.push_back(Edge(from, to, dist));
     54         m = edges.size();
     55         G[from].push_back(m - 1);
     56     }
     57 
     58     void dijstra(int s){
     59         priority_queue<HeapNode> Q;
     60         for(int i = 0; i <= n; i++){
     61             d[i] = INF;
     62         }
     63         d[s] = 0;
     64         memset(done, 0, sizeof(done));
     65         Q.push(HeapNode(0, s));
     66         while(!Q.empty()){
     67             HeapNode x = Q.top();
     68             Q.pop();
     69             int u = x.u;
     70             if(done[u]) continue;
     71             done[u]  = true;
     72             for(int i = 0; i < G[u].size(); i++){
     73                 Edge& e = edges[G[u][i]];
     74                 if(d[e.to] > d[u] + e.dist){
     75                     d[e.to] = d[u] + e.dist;
     76                     road[e.to].clear();
     77                     if(road[u].empty()){
     78                         set<int> tmp;
     79                         tmp.clear();
     80                         tmp.insert(u);
     81                         road[e.to].push_back(tmp);
     82                     }
     83                     else{
     84                         for(int j = 0; j < road[u].size(); j++){
     85                             road[e.to].push_back(road[u][j]);
     86                             road[e.to][j].insert(u);
     87                         }
     88                     }
     89                     p[e.to] = G[u][i];
     90                     Q.push(HeapNode(d[e.to], e.to));
     91                 }
     92                 else if(d[e.to] == d[u] + e.dist){
     93                     int w = road[e.to].size();
     94                     for(int j = 0; j < road[u].size(); j++){
     95                         road[e.to].push_back(road[u][j]);
     96                         road[e.to][w + j].insert(u);
     97                     }
     98                 }
     99             }
    100         }
    101     }
    102 };
    103 int n, m, t, g, h, s;
    104 Dijstra p;
    105 vector<int> res;
    106 int main()
    107 {
    108 #ifndef ONLINE_JUDGE
    109     freopen("in.txt", "r", stdin);
    110     //freopen("out.txt", "w", stdout);
    111 #endif // OPEN_FILE
    112     int T;
    113     scanf("%d", &T);
    114     while(T--){
    115         scanf("%d%d%d", &n, &m, &t);
    116         scanf("%d%d%d", &s, &g, &h);
    117         int x, y, z;
    118         p.init(n);
    119         for(int i = 1; i <= m; i++){
    120             scanf("%d%d%d", &x, &y, &z);
    121             p.AddEdge(x, y, z);
    122             p.AddEdge(y, x, z);
    123         }
    124         p.dijstra(s);
    125         res.clear();
    126         for(int i = 1; i <= t; i++){
    127             scanf("%d", &x);
    128             for(int j = 0; j < road[x].size(); j++){
    129                 road[x][j].insert(x);
    130                 if(road[x][j].find(g) != road[x][j].end() && road[x][j].find(h) != road[x][j].end()){
    131                     res.push_back(x);
    132                     break;
    133                 }
    134             }
    135         }
    136         sort(res.begin(), res.end());
    137         int w = res.size();
    138         for(int i = 0; i < w; i++){
    139             printf("%d ", res[i]);
    140         }
    141         printf("
    ");
    142     }
    143 }
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  • 原文地址:https://www.cnblogs.com/macinchang/p/4718171.html
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