Submission #1125477

#TimeUsernameProblemLanguageResultExecution timeMemory
1125477Muaath_5Dreaming (IOI13_dreaming)C++17
100 / 100
105 ms35820 KiB
#include "dreaming.h" #include <bits/stdc++.h> #define ll long long #define pii pair<int, int> using namespace std; const int N = 1e5+1, INF = 2e9; int n, m, k; vector<pair<int, int>> adj[N]; template<int km> struct kMax { vector<int> vals; friend kMax<km> operator+(kMax<km> lhs, const int &rhs) { for (int i = 0; i < lhs.vals.size(); i++) lhs.vals[i] += rhs; return lhs; } template<int xkm> kMax<xkm> operator=(kMax<xkm> rhs) { this->vals = rhs.vals; return *this; } void insert(int x) { vals.push_back(x); sort(vals.begin(), vals.end(), greater<int>()); if (vals.size() > km) vals.resize(km); } // void erase(int x) { // vals.erase(vals.find(x)); // } void insert(kMax x) { for (int j : x.vals) vals.push_back(j); sort(vals.begin(), vals.end(), greater<int>()); if (vals.size() > km) vals.resize(km); } }; kMax<2> dp[N]; bool vis[N]; int diam = 0, wentroid = 0; void dfs(int node, int par=-1) { vis[node] = true; dp[node].vals = {}; if (adj[node].size() == 1 && par != -1) return; for (const auto [ch, w] : adj[node]) { if (ch != par) { dfs(ch, node); if (adj[ch].size() == 1) dp[node].insert(w); else { dp[node].insert(dp[ch].vals[0] + w); } } } if (dp[node].vals.size() == 2) { diam = max(diam, dp[node].vals[0] + dp[node].vals[1]); } else if (dp[node].vals.size()) diam = max(diam, dp[node].vals[0]); } void dfs2(int node, int par=-1) { if (dp[node].vals.size()) { wentroid = min(wentroid, dp[node].vals[0]); } else wentroid = 0; for (auto [ch, w] : adj[node]) { if (ch != par) { auto ndv = dp[node]; auto chv = dp[ch]; if (dp[ch].vals.size() && dp[node].vals[0] == dp[ch].vals[0]+w) dp[ch].insert((dp[node].vals.size() == 2) ? dp[node].vals[1]+w : w); else dp[ch].insert(dp[node].vals[0] + w); dfs2(ch, node); dp[node] = ndv; dp[ch] = chv; } } } void comp(int node) { diam = 0, wentroid = INF; dfs(node); dfs2(node); } int travelTime(int nodes, int edges, int len, int au[], int av[], int aw[]) { n = nodes, m = edges, k = len; if (n == 1) return 0; for (int i = 0; i < m; i++) { adj[au[i]].push_back({av[i], aw[i]}); adj[av[i]].push_back({au[i], aw[i]}); } int mxdiam = 0; kMax<3> ww; for (int i = 0; i < n; i++) { if (!vis[i]) { if (adj[i].size()) comp(i); else wentroid=0,diam=0; ww.insert(wentroid); mxdiam = max(mxdiam, diam); } } if (m == n-1) return mxdiam; if (ww.vals.size() == 2) return max(mxdiam, ww.vals[0] + len + ww.vals[1]); return max({ mxdiam, ww.vals[0] + len + ww.vals[1], ww.vals[1] + 2*len + ww.vals[2] }); }
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