/*
* @Author: RMQuan
* @Date: 2025-09-29 22:50:45
* @Last Modified by: RMQuan
* @Last Modified time: 2025-09-30 06:20:22
*/
/*idea :
*/
#include <bits/stdc++.h>
bool M1;
#define int long long
#define ll long long
#define fi first
#define se second
#define memfull(a,b) memset(a,b,sizeof(a));
#define endl '\n'
#define file(a) freopen(a".inp","r",stdin); freopen(a".out","w",stdout);
using namespace std;
const int maxn=2e5+7;
const int inf=1e18;
struct canh {
int u,v,w,col;
};
vector<canh> adj[maxn];
int n,m;
vector<int> dis[maxn];
vector<int> vst[maxn];
vector<int> avaiable_col[maxn];
struct node {
int u,prev_col,dis;
};
struct cmp {
bool operator()(const node &x,const node &y)const{
return x.dis>y.dis;
}
};
int cnt_w[maxn],cnt[maxn];
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++) {
int u,v,col,w;
cin>>u>>v>>col>>w;
adj[u].push_back({u,v,w,col});
adj[v].push_back({v,u,w,col});
avaiable_col[u].push_back(col);
avaiable_col[v].push_back(col);
}
for(int i=1;i<=n;i++) {
avaiable_col[i].push_back(-inf);
sort(avaiable_col[i].begin(),avaiable_col[i].end());
avaiable_col[i].erase(unique(avaiable_col[i].begin(),avaiable_col[i].end()),avaiable_col[i].end());
int sz=avaiable_col[i].size();
dis[i].assign(sz,inf);
vst[i].assign(sz,0);
}
priority_queue<node,vector<node>,cmp> q;
dis[1][0]=0;
q.push({1,0,0});
while(!q.empty()) {
int u=q.top().u;
int col=q.top().prev_col;
int du=q.top().dis;
q.pop();
if(vst[u][col]) continue;
vst[u][col]=true;
for(auto &e:adj[u]) {
cnt_w[e.col]+=e.w;
cnt[e.col]++;
}
if(col==0) {
for(int j=1;j<(int)avaiable_col[u].size();j++) {
int c=avaiable_col[u][j];
for(auto &e:adj[u]) if(e.col==c) {
int v=e.v;
if(cnt[c]<=1) {
if(dis[v][0]>du) {
dis[v][0]=du;
q.push({v,0,du});
}
} else {
int n_c=lower_bound(avaiable_col[v].begin(),avaiable_col[v].end(),c)-avaiable_col[v].begin();
if(dis[v][n_c]>du) {
dis[v][n_c]=du;
q.push({v,n_c,du});
}
if(dis[v][0]>du+e.w) {
dis[v][0]=du+e.w;
q.push({v,0,dis[v][0]});
}
if(dis[v][0]>du+cnt_w[c]-e.w) {
dis[v][0]=du+cnt_w[c]-e.w;
q.push({v,0,dis[v][0]});
}
}
}
}
} else {
int pv_col=avaiable_col[u][col];
for(auto &e:adj[u]) if(e.col==pv_col) {
int v=e.v;
if(dis[v][0]>du+cnt_w[pv_col]-e.w) {
dis[v][0]=du+cnt_w[pv_col]-e.w;
q.push({v,0,dis[v][0]});
}
}
}
for(auto &e:adj[u]) {
cnt_w[e.col]-=e.w;
cnt[e.col]--;
}
}
cout<<(dis[n][0]==inf?-1:dis[n][0])<<endl;
bool M2;
cerr<<"-------------------------------------------------\n";
cerr<<"Time : "<<clock()<<" ms\n";
cerr<<"Memory : "<<abs(&M2-&M1)/1024/1024<<" MB\n";
cerr<<"-------------------------------------------------\n";
return 0;
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |