이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define ss second
#define ff first
typedef long long ll;
#define int ll
int mod = 1e9+7;
const ll INF = 1e18;
struct Edge {
int to, c;
ll p;
};
map<int, vector<Edge>> graph[100001];
ll dp[100001];
map<int, ll> dp2[100001], psum[100001];
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// ifstream cin ("shortcut.in");
// ofstream cout ("shortcut.out");
int n, m;
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int u, v, c;
ll p;
cin >> u >> v >> c >> p;
graph[u][c].push_back({v, c, p});
graph[v][c].push_back({u, c, p});
psum[u][c] += p;
psum[v][c] += p;
}
memset(dp, 0x3f, sizeof dp);
dp[1] = 0;
priority_queue<tuple<ll, int, int>> pq;
pq.push({0, 1, 0});
while (pq.size()) {
ll cost;
int node, c;
tie(cost, node, c) = pq.top();
pq.pop();
if (c) {
if (dp2[node][c] != -cost) continue;
for (Edge i : graph[node][c]) {
// We can't flip i in this case
ll case1 = psum[node][c] - i.p;
if (case1 - cost < dp[i.to]) {
dp[i.to] = case1 - cost;
pq.push({-dp[i.to], i.to, 0});
}
}
} else {
if (dp[node] != -cost) continue;
for (auto &i : graph[node]) {
for (Edge j : i.second) {
// Case 1: We don't flip j
ll case1 = psum[node][j.c] - j.p - cost;
if (case1 < dp[j.to]) {
dp[j.to] = case1;
pq.push({-dp[j.to], j.to, 0});
}
// Case 2: We flip j but not another edge of the same colour
ll case2 = j.p - cost;
if (case2 < dp[j.to]) {
dp[j.to] = case2;
pq.push({-dp[j.to], j.to, 0});
}
// Case 3: We flip j and another edge of the same colour
ll case3 = -cost;
if (!dp2[j.to].count(j.c) || case3 < dp2[j.to][j.c]) {
dp2[j.to][j.c] = case3;
pq.push({-dp2[j.to][j.c], j.to, j.c});
}
}
}
}
}
cout << (dp[n] > INF ? -1 : dp[n]);
return 0;
}
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