This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
https://usaco.guide/problems/joi-2021robot/solution
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<array<ll,4>> adj1[N];
map<ll,vector<array<ll,3>>> adj2[N];
map<ll,ll> adj_sum[N];
void solve(int test_case)
{
ll n,m; cin >> n >> m;
vector<array<ll,4>> edges(m+5);
rep1(i,m){
ll u,v,c,w; cin >> u >> v >> c >> w;
edges[i] = {u,v,c,w};
adj1[u].pb({v,c,w,i});
adj1[v].pb({u,c,w,i});
adj2[u][c].pb({v,w,i});
adj2[v][c].pb({u,w,i});
adj_sum[u][c] += w;
adj_sum[v][c] += w;
}
priority_queue<array<ll,3>,vector<array<ll,3>>,greater<array<ll,3>>> pq;
pq.push({0,1,-1});
set<pll> st;
while(!pq.empty()){
auto [cost,u,prevc] = pq.top();
pq.pop();
pll px = {u,prevc};
if(st.count(px)) conts;
st.insert(px);
if(u == n and prevc == -1){
cout << cost << endl;
return;
}
if(prevc == -1){
for(auto [v,c,w,id] : adj1[u]){
// recolor edge and put ?
// next edge is ?
pq.push({cost+w,v,-1});
// next edge is not '?' and has col c
pq.push({cost,v,c});
// retain color
ll add = adj_sum[u][c];
add -= w;
pq.push({cost+add,v,-1});
}
}
else{
ll c = prevc;
for(auto [v,w,id] : adj2[u][c]){
// recolor all adj guys
ll add = adj_sum[u][c];
add -= w;
pq.push({cost+add,v,-1});
}
}
}
cout << -1 << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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