复杂度n2,点编号从0到n-1,要对lowcost数组初始化inf , 注意结点编号
const int inf = 0x3f3f3f3f;
const int maxn = 7e3 + 10;
bool vis[maxn];
int pre[maxn], lowcost[maxn];
int cost[maxn][maxn];
void dijkstra(int n, int beg)
{
for(int i = 0; i < n; ++i)
{
lowcost[i] = inf;
vis[i] = false;
pre[i] = -1;
}
lowcost[beg] = 0;
for(int j = 0; j < n; ++j)
{
int k = -1;
int Min = inf;
for(int i = 0; i < n; ++i)
{
if(!vis[i] && lowcost[i] < Min)
{
Min = lowcost[i];
k = i;
}
}
if(k == -1)
break;
vis[k] = true;
for(int i = 0; i < n; ++i)
{
if(!vis[i] && lowcost[k] + cost[k][i] < lowcost[i])
{
lowcost[i] = lowcost[k] + cost[k][i];
pre[i] = k;
}
}
}
}
加堆优化,复杂度nlogn,注意:点编号从1开始,对vector<Edge> e[maxn] 进行初始化后加边。
#include<bits/stdc++.h>
using namespace std;
const int inf = 0x3f3f3f3f;
const int maxn = 7e3 + 10;
struct node
{
int v, c;
bool operator < (const node &r) const
{
return c > r.c;
}
};
struct Edge
{
int v, cost;
};
vector<Edge> e[maxn];
bool vis[maxn];
int dist[maxn];
void Dijkstra(int n, int start)
{
memset(vis, false, sizeof(vis));
for(int i = 1; i <= n; ++i)
dist[i] = inf;
priority_queue<node> q;
while(!q.empty())
q.pop();
dist[start] = 0;
q.push(node{start, 0});
node tmp;
while(!q.empty())
{
tmp = q.top();
q.pop();
int u = tmp.v;
if(vis[u]) continue;
vis[u] = true;
for(int i = 0; i < e[u].size(); ++i)
{
int v = e[u][i].v;
int cost = e[u][i].cost;
if(!vis[v] && dist[v] > dist[u] + cost)
{
dist[v] = dist[u] + cost;
q.push(node{v, dist[v]});
}
}
}
}
void addedge(int u, int v, int w)
{
e[u].push_back(Edge{v, w});
}
int main()
{
int n, m, a, b;
scanf("%d%d%d%d", &n, &m, &a, &b);
int u, v, w;
for(int i = 0; i < maxn; ++i)
e[i].clear();
for(int i = 0; i < m; ++i)
{
scanf("%d%d%d", &u, &v, &w);
addedge(u, v, w);
addedge(v, u, w);
}
Dijkstra(n, a);
//for(int i = 1; i <= n; ++i)
cout << dist[b] << endl;
return 0;
}