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#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
struct line{
int a,b;
int operator()(const int x)const{
return a*x+b;
}
};
bool check(line l1,line l2,line l3){
return (l3.b-l2.b)*(l1.a-l2.a)<=(l2.b-l1.b)*(l2.a-l3.a);
}
const int mxn=6e5+5;
vector<tuple<int,int,int>>adj[mxn];
map<int,int>mp[mxn];
int k,n;
int dij(){
vector<int>dis(k+1,1e18);
dis[1]=0;
priority_queue<pii,vector<pii>,greater<pii>>pq;
pq.push({0,1});
while(sz(pq)){
auto [d,v]=pq.top();
pq.pop();
if(d>dis[v])continue;
for(auto [u,c,w]:adj[v]){
if(dis[u]>dis[v]+w){
dis[u]=dis[v]+w;
pq.push({dis[u],u});
}
}
}
return dis[n];
}
signed main(){
setio();
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int m;
cin>>n>>m;
k=n;
for(int i=0;i<m;i++){
int a,b,c,d;
cin>>a>>b>>c>>d;
//debug(a,b);
adj[a].pb({b,c,d});
adj[b].pb({a,c,d});
}
vector<int>sum(m+1),num(m+1),vir(m+1);
for(int v=1;v<=n;v++){
for(auto [u,c,d]:adj[v]){
if(!c)continue;
num[c]++;
sum[c]+=d;
}
vector<int>tmp;
for(auto &[u,c,d]:adj[v]){
if(c==0)continue;
if(num[c]==1)d=0;
else{
if(!vir[c]){
vir[c]=++k;
tmp.pb(k);
}
//debug(vir[c],u,c);
adj[vir[c]].pb({u,0,sum[c]-d});
adj[u].pb({vir[c],0,0});
}
}
for(auto x:tmp){
//debug(v,x);
adj[v].pb({x,0,0});
}
for(auto [u,c,d]:adj[v]){
sum[c]=num[c]=vir[c]=0;
}
}
int ans=dij();
if(ans==1e18){
cout<<-1<<'\n';
}
else{
cout<<dij()<<'\n';
}
}
/*
input:
[v,k] = [1, 6]
[vir[c],u] = [6, 4]
[u,vir[c]] = [4, 6]
[v,k] = [2, 7]
[vir[c],u] = [7, 3]
[u,vir[c]] = [3, 7]
[v,k] = [2, 8]
[vir[c],u] = [8, 4]
[u,vir[c]] = [4, 8]
[v,k] = [3, 9]
[vir[c],u] = [9, 2]
[u,vir[c]] = [2, 9]
[v,k] = [4, 10]
[vir[c],u] = [10, 1]
[u,vir[c]] = [1, 10]
[v,k] = [4, 11]
[vir[c],u] = [11, 5]
[u,vir[c]] = [5, 11]
[v,k] = [4, 12]
[vir[c],u] = [12, 3]
[u,vir[c]] = [3, 12]
[v,k] = [5, 13]
[vir[c],u] = [13, 4]
[u,vir[c]] = [4, 13]
[v,k] = [5, 14]
[vir[c],u] = [14, 3]
[u,vir[c]] = [3, 14]
*/
컴파일 시 표준 에러 (stderr) 메시지
Main.cpp: In function 'long long int dij()':
Main.cpp:64:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
64 | auto [d,v]=pq.top();
| ^
Main.cpp:67:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
67 | for(auto [u,c,w]:adj[v]){
| ^
Main.cpp: In function 'int main()':
Main.cpp:93:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
93 | for(auto [u,c,d]:adj[v]){
| ^
Main.cpp:99:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
99 | for(auto &[u,c,d]:adj[v]){
| ^
Main.cpp:116:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
116 | for(auto [u,c,d]:adj[v]){
| ^
Main.cpp: In function 'void setIO(std::string)':
Main.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
42 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
43 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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