写了个类似于SPFA的东西,思路是维护从每个点开始到n的路径中最大值,复杂度应该可以跑到O(n2),所以我加了一个随机访问顺序,然后就过了。可是,当我把随机化删除以后,还能过。非常奇怪。
#include<bits/stdc++.h>
using namespace std;
struct node {
int u, v, w;
} E[500010];
struct edge {
int to, nxt;
} e[1000010];
int cnt, head[200010], n, m;
int a[200010], dis[200010];
bool gett[200010], vis[200010];
void dfs(int u) {
gett[u] = 1;
for(int i = head[u]; i; i = e[i].nxt) if(!gett[e[i].to])
dfs(e[i].to);
}
void bfs() {
priority_queue<pair<int, int> > q;
for(int i = 1; i <= n; ++i) dis[i] = a[i];
q.emplace(dis[n], n);
while(!q.empty()) {
int t = q.top().second;
q.pop();
for(int i = head[t]; i; i = e[i].nxt) {
int v = e[i].to;
if((vis[v] && dis[v] >= dis[t]) || !gett[v]) continue;
else {
dis[v] = max(dis[v], dis[t]);
vis[v] = 1;
q.emplace(dis[v], v);
}
}
}
}
void add(int u, int v) {
e[++cnt].to = v;
e[cnt].nxt = head[u];
head[u] = cnt;
}
int main() {
cin >> n >> m;
for(int i = 1; i <= n; ++i) cin >> a[i];
for(int i = 1; i <= m; ++i) {
int u, v, w;
cin >> u >> v >> w;
add(u, v);
if(w == 2) add(v, u);
E[i] = {u, v, w};
}
dfs(1);
memset(e, 0, sizeof(e));
memset(head, 0, sizeof(head));
cnt = 0;
for(int i = 1; i <= m; ++i) {
add(E[i].v, E[i].u);
if(E[i].w == 2) add(E[i].u, E[i].v);
}
bfs();
int ans = 0;
for(int i = 1; i <= n; ++i) if(gett[i]) ans = max(ans, dis[i] - a[i]);
cout << ans << endl;
return 0;
}