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>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REPD(i, n) for (int i = (n) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int numNode, numEdge;
#define MAX_NODE 200005
#define MAX_EDGE 300005
struct Edge{
int u, v, color, cost;
Edge(){}
Edge(int _u, int _v, int _color, int _cost){
u = _u, v = _v, color = _color, cost = _cost;
}
int other(int x){return (x ^ u ^ v);}
} edge[MAX_EDGE];
struct custom_hash{
size_t operator ()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = (chrono::steady_clock::now().time_since_epoch().count());
x ^= FIXED_RANDOM;
return (x ^ (x >> 16));
}
};
vector<int> G[MAX_NODE];
unordered_map<int, int, custom_hash> cnt[MAX_NODE];
void loadGraph(void){
cin >> numNode >> numEdge;
for (int i = 1; i <= numEdge; ++i){
cin >> edge[i].u >> edge[i].v >> edge[i].color >> edge[i].cost;
G[edge[i].u].emplace_back(i);
G[edge[i].v].emplace_back(i);
int v = edge[i].color;
cnt[edge[i].u][v]++;
cnt[edge[i].v][v]++;
}
}
int F[MAX_NODE];
void process(void){
memset(F, 0x3f, (numNode + 1) * sizeof(int));
#define T tuple<int, int, int>
priority_queue<T, vector<T>, greater<T>> q;
q.emplace(0, 1, 0);
F[1] = 0;
while(q.size()){
int du, u, l_color; tie(du, u, l_color) = q.top(); q.pop();
if (du > F[u]) continue;
for (int &i : G[u]){
int v = edge[i].other(u);
int cost = ((cnt[u][edge[i].color] - (l_color == edge[i].color)) <= 1 ? 0 : edge[i].cost);
if (minimize(F[v], F[u] + cost)){
q.emplace(F[v], v, edge[i].color);
}
}
}
cout << (F[numNode] >= INF ? -1 : F[numNode]);
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
loadGraph();
process();
}
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