This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
const int mxN = 3e5 + 227;
const int inf = 1e9 + 277;
const int mod = 1e9 + 7;
const ll infll = 1e18 + 7;
const int base = 307;
const int LOG = 20;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
struct item{
int u;
int pre;
ll d;
};
struct cmp{
bool operator()(const item &a , const item &b)
{
return a.d > b.d;
}
};
struct EDGE{
int v , color , cost;
};
int n , m;
vector<EDGE> adj[mxN];
ll dist[mxN];
map<int , ll> dp[mxN];
int cnt[mxN];
ll sumcost[mxN];
void solve()
{
cin >> n >> m;
for(int i = 1 ; i <= m ; i++) {
int u , v , color , cost;
cin >> u >> v >> color >> cost;
adj[u].pb({v , color , cost});
adj[v].pb({u , color , cost});
}
memset(dist , 0x3f , sizeof(dist));
priority_queue<item , vector<item> , cmp> pq;
pq.push({1 , 0 , dist[1] = 0});
while(!pq.empty()) {
int u , pre;
ll d;
u = pq.top().u;
pre = pq.top().pre;
d = pq.top().d;
pq.pop();
if(pre == 0 && dist[u] != d) continue;
if(pre != 0 && dp[u][pre] != d) continue;
for(auto it : adj[u]) {
if(it.v == pre) continue;
cnt[it.color]++;
sumcost[it.color] += it.cost;
}
for(auto it : adj[u]) {
if(it.v == pre) continue;
if(cnt[it.color] == 1) {
if(minimize(dist[it.v] , d) == true) {
pq.push({it.v , 0 , d});
}
}
else{
if(!dp[it.v].count(u) || dp[it.v][u] > d + it.cost) {
dp[it.v][u] = d + it.cost;
pq.push({it.v , u , d + it.cost});
}
if(minimize(dist[it.v] , d + sumcost[it.color] - it.cost) == true) {
pq.push({it.v , 0 , d + sumcost[it.color] - it.cost});
}
}
}
for(auto it : adj[u]) {
if(it.v == pre) continue;
cnt[it.color]--;
sumcost[it.color] -= it.cost;
}
}
ll ans = dist[n];
for(int i = 1 ; i <= n ; i++) {
if(dp[n].count(i) > 0) minimize(ans , dp[n][i]);
}
if(ans == dist[0]) cout << -1;
else cout << ans;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen(TASK".inp" , "r" , stdin);
//freopen(TASK".out" , "w" , stdout);
int tc = 1;
//cin >> tc;
while(tc--) {
solve();
}
return 0;
}
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