Submission #408764

#TimeUsernameProblemLanguageResultExecution timeMemory
408764CantfindmeRobot (JOI21_ho_t4)C++17
100 / 100
1075 ms88864 KiB
#include <bits/stdc++.h> using namespace std; #define int long long typedef pair<int,int> pi; #define f first #define s second #define FAST ios_base::sync_with_stdio(0); cin.tie(0); #define all(x) x.begin(),x.end() const int maxn = 100010; const int INF = LLONG_MAX/2; const int mod = 1e9+7; typedef pair<int, pi> pii; //struct edge { //int v, c, p; //}; map <int, vector <pii>> adjlist[maxn]; map <int, int> dp[maxn], sum[maxn]; int dist[maxn]; int n, e; int32_t main() { FAST cin >> n >> e; for (int i =0;i<e;i++) { int a,b, c, p; cin >> a >> b >> c >> p; adjlist[a][c].push_back(pii(b,pi(c,p))); adjlist[b][c].push_back(pii(a,pi(c,p))); sum[a][c] += p; sum[b][c] += p; } //(1) Only change edge i to completely unique colour (guaranteed to exist) //(2) Change rest of edges with same colour as edge i memset(dist,-1,sizeof dist); priority_queue<pii, vector<pii>,greater<pii>> pq; pq.push(pii(0,pi(1,0))); dist[1] = 0; while (!pq.empty()) { auto [d, cur] = pq.top(); pq.pop(); auto [x, c] = cur; if (c != 0) { //We must take a (2) here if not void if (d != dp[x][c]) continue; for (auto [v,xx] : adjlist[x][c]) { auto [cc, p] = xx; //if (cc != c) continue; int nd = d + sum[x][c] - p; if (dist[v] == -1 or dist[v] > nd) { pq.push(pii(nd,pi(v,0))); dist[v] = nd; } } } else { if (d != dist[x]) continue; for (auto gaygay : adjlist[x]) { for (auto [v, xx]: gaygay.s) { auto [cc, p] = xx; int nd = d + p; //Take a (1) //Straight to dist if (dist[v] == -1 or dist[v] > nd) { dist[v] = nd; pq.push(pii(nd,pi(v,0))); } //Do a suspension nd = d; if (dp[v].count(cc) == 0 or dp[v][cc] > nd) { dp[v][cc] = nd; pq.push(pii(nd,pi(v,cc))); } //Take a (2) nd = d + sum[x][cc] - p; if (dist[v] == -1 or dist[v] > nd) { dist[v] = nd; pq.push(pii(nd,pi(v,0))); } } } } } cout << dist[n]; }
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