dij 可以在全负权边图中跑最长路吗?
dij 对每个点只松弛一次,如果我把 vis 判断去掉,复杂度会有多劣?
如果CCF的比赛中有个图论题,但标算不是 dij,对于该题应当给出数据是否有重边吗?
为什么这种玄学代码能过 P1807 最长路?
甚至 w∈[−105,105] qwq
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, int> pli;
const int N = 1510, M = 5e4 + 10, R = 1e5 + 1;
const ll inf = LLONG_MAX;
struct edge
{
int to, next;
ll w;
}e[M];
int top, h[N], cnt[N], n, m;
ll dist[N];
bool vis[N];
priority_queue< pli, vector<pli> > q;
void add(int x, int y, ll w)
{
e[++top].to = y;
e[top].w = w;
e[top].next = h[x];
h[x] = top;
}
void dijkstra(int s)
{
for (int i = 1; i <= n; i ++) dist[i] = -inf;
dist[s] = 0;
q.push({0ll, s});
while (!q.empty())
{
int x = q.top().second;
q.pop();
// if (vis[x]) continue;
// vis[x] = true;
for (int i = h[x]; i ; i = e[i].next)
{
int y = e[i].to;
ll w = e[i].w;
if (dist[x] + w > dist[y])
{
dist[y] = dist[x] + w;
cnt[y] = cnt[x] + 1;
q.push({dist[y], y});
}
}
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n >> m;
for (int i = 1; i <= m; i ++)
{
int x, y;
ll w;
cin >> x >> y >> w;
add(x, y, w);
}
dijkstra(1);
cout << (dist[n] == -inf ? -1 : dist[n]);
return 0;
}