Submission #1069998

#TimeUsernameProblemLanguageResultExecution timeMemory
1069998vjudge1Cat Exercise (JOI23_ho_t4)C++17
100 / 100
176 ms64336 KiB
#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, a) for (int i = 0; i < (a); ++i) #define REPD(i, a) for (int i = (a) - 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; } #define MAX 200005 #define LOG 19 vector<int> G[MAX]; int label[MAX], numNode; int root = 1; int up[MAX][LOG], depth[MAX]; void pre_dfs(int u, int p = -1){ for (int &v : G[u]) if(v ^ p){ up[v][0] = u; depth[v] = depth[u] + 1; for (int i = 1; i < LOG; ++i) up[v][i] = up[up[v][i - 1]][i - 1]; pre_dfs(v, u); } } int low_bit(int p){ return (p & (-p)); } int lca(int u, int v){ if (depth[u] < depth[v]) swap(u, v); int dis = depth[u] - depth[v]; for (; dis > 0; dis ^= low_bit(dis)){ int i = __builtin_ctz(low_bit(dis)); u = up[u][i]; } if(u == v) return u; for (int i = LOG - 1; i >= 0; --i) if(up[u][i] != up[v][i]){ u = up[u][i], v = up[v][i]; } return up[u][0]; } int dis(int a, int b){ return depth[a] + depth[b] - 2 * depth[lca(a, b)]; } namespace SUBTASK_4{ int dp[MAX], del[MAX]; bool vis[MAX]; int dfs(int u){ vis[u] = true; int mx_node = u; for (int&v : G[u]) if(!vis[v]){ if(del[v]) continue; int x = dfs(v); if(label[mx_node] < label[x]){ mx_node = x; } } return mx_node; } void main(void){ queue<int> q; q.emplace(root); while(q.size()){ int u = q.front(); q.pop(); if(del[u]) continue; del[u] = true; for (int&v : G[u]){ memset(vis, 0, (numNode + 1) * sizeof(bool)); int x = dfs(v); if(!del[x]){ if(maximize(dp[x], dp[u] + dis(x, u))){ q.push(x); } } } } int ans = 0; for (int i = 1; i <= numNode; ++i) maximize(ans, dp[i]); cout << ans; } } namespace SUBTASK_7{ int mx[MAX], pa[MAX]; int find(int u){ return u == pa[u] ? u : pa[u] = find(pa[u]); } bool joint(int u, int v){ u = find(u), v = find(v); if(u == v) return false; if(mx[u] < mx[v]){ swap(u, v); } pa[v] = u; maximize(mx[u], mx[v]); return true; } int dp[MAX]; int ID[MAX]; void main(void){ for (int i = 1; i <= numNode; ++i) mx[i] = label[i], pa[i] = i, ID[label[i]] = i; memset(dp, 0, (numNode + 1) * sizeof(int)); int ans = 0; for (int i = 1; i <= numNode; ++i){ int u = ID[i]; for (int&v : G[u]){ if (label[v] < label[u]){ int prv = find(v); maximize(dp[u], dp[prv] + dis(prv, u)); joint(v, u); } } maximize(ans, dp[u]); } cout << dp[ID[numNode]]; } } void process(void){ cin >> numNode; for (int i = 1; i <= numNode; ++i){ cin >> label[i]; if(label[i] == numNode) root = i; } for (int i = 1; i < numNode; ++i){ int u, v; cin >> u >> v; G[u].emplace_back(v); G[v].emplace_back(u); } pre_dfs(root, root); if(numNode <= 5000) { SUBTASK_4 :: main(); return; } SUBTASK_7 :: main(); } signed main(){ #define name "Whisper" cin.tie(nullptr) -> sync_with_stdio(false); //freopen(name".inp", "r", stdin); //freopen(name".out", "w", stdout); process(); return (0 ^ 0); }
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