双向A-Star算法崩溃问题

如何解决双向A-Star算法崩溃问题

我正在尝试使用Eucledean启发式方法实现双向Dijkstra的算法,但是当我将其提交给平地机时,它会崩溃。第一次使用集提取最小边缘权重时,我以为那是错误,但我更改了优先级队列,但没有任何反应。我不认为它会崩溃是因为它占用了大量内存,在最坏的情况下,它为矢量使用了880000个内存空间,但是也许我不知道如何估计在最坏的情况下所使用的内存量。谁知道我的代码为什么会崩溃?

这是我的代码:

#include <cstdio>
#include <cassert>
#include <vector>
#include <limits>
#include <utility>
#include <math.h>
#include <queue>
#include <iostream>


using namespace std;

// Vector to represent a graph as an adjacency list
typedef vector<vector<vector<int>>> Adj;

// Distances can grow out of int type
typedef long long Len;

// Vector of two priority_queue - for forward and backward searches.
typedef vector<priority_queue<pair<Len,int>,vector<pair<Len,int>>,greater<pair<Len,int>>>> Queue;
const Len MAX_ = numeric_limits<Len>::max() / 4;

class AStar {
    // Size of the nodes
    int n_;
    // adj_[0] and cost_[0] stores the original edges and its weights
    // adj_[1] and cost_[1] stores the reverses edges and its weights
    Adj adj_;
    Adj cost_;
    // distance_[0] stores the distance for the forward search
    // distance_[1] stores the distance for the backward search
    vector<vector<Len>> distance_;
    // hdistance_[0] stores the distance plus the heuristics value for the forward search
    // hdistance_[1] stores the distance plus the heuristics value for the backward search
    vector<vector<Len>> hdistance_;
    // Stores the nodes discovered in the path neither from source to target or from target to source
    vector<int> workset_;
    // Stores the visited nodes
    vector<bool> visited_;
    // Coordinates of the nodes
    std::vector<std::pair<Len,Len>> xy_;

public:
    AStar(int n,Adj adj,Adj cost,std::vector<std::pair<Len,Len>> xy)
        : n_(n),adj_(adj),cost_(cost),distance_(2,vector<Len>(n_,MAX_)),hdistance_(2,visited_(n),xy_(xy),workset_(n)
    {}

    // Reset everything
    void clear() {
        for (unsigned int i = 0; i < workset_.size(); ++i) {
            int v = workset_[i];
            visited_[v] = false;
        }
        distance_= vector<vector<Len>>(2,MAX_));
        hdistance_= vector<vector<Len>>(2,MAX_));
        workset_.clear();
    }
    // Return the heuristic distance from the node to the target and from the source to the node
    long long potential(int a,int side,int s,int t){
        long long pi_f=sqrt(pow(xy_[a].first-xy_[t].first,2)+pow(xy_[a].second-xy_[t].second,2));
        long long pi_r=sqrt(pow(xy_[s].first-xy_[a].first,2)+pow(xy_[s].second-xy_[a].second,2));
        //cout<<"pi_f="<<pi_f<<",pi_r="<<pi_r<<'\n';
        return side?(pi_r-pi_f)/2:(pi_f-pi_r)/2;
    }

    // Visit each neighbor node and change is distance value if it's needed
    void visit(Queue& q,pair<Len,int> u,int t) {
        for(unsigned int i=0; i<adj_[side][u.second].size();i++){
            int v=adj_[side][u.second][i];
            int w=cost_[side][u.second][i];
            //cout<<"Node -> "<<v<<",distance: "<<w<<'\n';
            long long h=potential(v,side,s,t);
            //cout<<"heuristics: "<<h<<'\n';
            //cout<<" - "<<distance_[side][v]<<" "<<distance_[side][u.second]+w<<'\n';
            if((hdistance_[side][v]==MAX_)||(distance_[side][v]>distance_[side][u.second]+w)){
                distance_[side][v]=distance_[side][u.second]+w;
                hdistance_[side][v]=distance_[side][u.second]+w+h;
                q[side].push(make_pair(hdistance_[side][v],v));
            }
        }
        workset_.push_back(u.second);
    }
    // Returns the shortest distance to the target
    Len Shortest_Path() {
        long long distance=MAX_;
        for(unsigned int i=0; i<workset_.size();i++){
            if(distance_[0][workset_[i]]+distance_[1][workset_[i]]<distance){
                distance=distance_[0][workset_[i]]+distance_[1][workset_[i]];
            }
        }
        return distance;
    }
    // Process each query
    Len query(int s,int t) {
        clear();
        Queue q(2);
        q[0].push(make_pair(0,s));
        q[1].push(make_pair(0,t));
        distance_[0][s]=0;
        hdistance_[0][s]=0;
        hdistance_[1][t]=0;
        distance_[1][t]=0;
        pair<Len,int> v;
        do{
            // Forward search
            if(q[0].size()==0){
                break;
            }
            v=q[0].top();
            q[0].pop();
            //If it's a non-updated node
            if(hdistance_[0][v.second]!=v.first){
                continue;
            }
            visit(q,v,t);
            if(visited_[v.second]==1){
                return Shortest_Path();
            }
            visited_[v.second]=1;

            // Backward search
            if(q[1].size()==0){
                break;
            }
            v=q[1].top();
            q[1].pop();
            //If it's a non-updated node
            if(hdistance_[1][v.second]!=v.first){
                continue;
            }
            visit(q,1,t);
            if(visited_[v.second]==1){
                return Shortest_Path();
            }
            visited_[v.second]=1;
        }while(true);
        return -1;
    }
};

int main() {
    int n,m;
    scanf("%d%d",&n,&m);
    std::vector<std::pair<Len,Len>> xy(n);
    for (unsigned int i=0;i<n;++i){
        int a,b;
        scanf("%d%d",&a,&b);
        xy[i] = make_pair(a,b);
    }
    Adj adj(2,vector<vector<int>>(n));
    Adj cost(2,vector<vector<int>>(n));
    for (unsigned int i=0; i<m; ++i) {
        int u,c;
        scanf("%d%d%d",&u,&v,&c);
        adj[0][u-1].push_back(v-1);
        cost[0][u-1].push_back(c);
        adj[1][v-1].push_back(u-1);
        cost[1][v-1].push_back(c);
    }

    AStar astar(n,adj,cost,xy);

    int t;
    scanf("%d",&t);
    for (int i=0; i<t; ++i) {
        int u,v;
        scanf("%d%d",&v);
        printf("%lld\n",astar.query(u-1,v-1));
    }
}

以下是约束条件:

enter image description here

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