Submission #924490

#TimeUsernameProblemLanguageResultExecution timeMemory
924490WhisperLampice (COCI19_lampice)C++17
110 / 110
1834 ms15192 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using T = tuple<ll, ll, ll>; #define int long long #define Base 41 #define sz(a) (int)a.size() #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 all(x) x.begin() , x.end() #define pii pair<int , int> #define fi first #define se second #define Lg(x) 31 - __builtin_clz(x) #define MASK(i) (1LL << (i)) #define BIT(x, i) (((x) >> (i)) & 1) constexpr ll LINF = (1ll << 60); constexpr int INF = (1ll << 30); constexpr int MAX = 5e4 + 5; constexpr int Mod = 1e9 + 7; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); void setupIO(){ #define name "Whisper" //Phu Trong from Nguyen Tat Thanh High School for gifted student srand(time(NULL)); cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr); //freopen(name".inp", "r", stdin); //freopen(name".out", "w", stdout); cout << fixed << setprecision(10); } 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; string s; vector<int> adj[MAX]; int sz[MAX], del[MAX]; void reSubize(int u, int p){ sz[u] = 1; for (auto&v : adj[u]) if(v ^ p){ if (!del[v]){ reSubize(v, u); sz[u] += sz[v]; } } } int getCentroid(int u, int p, int siz){ for (auto&v : adj[u]) if(v ^ p){ if (!del[v] && 2 * sz[v] > siz) return getCentroid(v, u, siz); } return u; } //>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> int l = 0; bool found; int Pow[MAX]; unordered_map<int, bool> f[MAX]; int maxDepth = 1; char r; void dfs(int u, int p, int dep, int up, int down, bool ok){ if (dep > l) return; maximize(maxDepth, dep); up = (up * Base + (s[u] - 'a' + 1)) % Mod; down = (down + (s[u] - 'a' + 1) * Pow[dep - 1]) % Mod; int val = ((down * Pow[l - dep] - up) + Mod) % Mod; if (ok) f[dep][val] = 1; else{ if (dep + 1 == l){ if ((down * Base + (r - 'a' + 1)) % Mod == up){ found = 1; return; } } if (l > dep) if (f[l - dep - 1].count(val)){ found = 1; return; } } for (auto&v : adj[u]) if(v ^ p){ if (!del[v]){ dfs(v, u, dep + 1, up, down, ok); if (found) return; } } } void decompose(int root){ reSubize(root, -1); int siz = sz[root]; root = getCentroid(root, -1, siz); r = s[root]; del[root] = 1; maxDepth = 1; for (auto&v : adj[root]) if(!del[v]){ dfs(v, root, 1, s[root] - 'a' + 1, 0, 0); if (found) return; dfs(v, root, 1, s[root] - 'a' + 1, 0, 1); } for (int i = 0; i <= maxDepth; ++i) f[i].clear(); for (auto&v : adj[root]) if(!del[v]){ decompose(v); if (found) return; } } bool check(int _l){ l = _l; found = false; for (int i = 0; i <= l; ++i) f[i].clear(); for (int i = 1; i <= numNode; ++i) del[i] = 0; decompose(1); return found; } void Whisper(){ cin >> numNode >> s; s = '@' + s; for (int i = 1; i < numNode; ++i){ int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } Pow[0] = 1; for (int i = 1; i <= numNode; ++i){ Pow[i] = Pow[i - 1] * Base % Mod; } int ans = 1; for (int i = 0; i < 2; ++i){ int lo = 0, hi = numNode / 2 + 1; while (hi - lo > 1){ int mid = (lo + hi) >> 1; if (check(2 * mid + i)) lo = mid; else hi = mid; } maximize(ans, 2 * lo + i); } cout << ans; } signed main(){ setupIO(); int Test = 1; // cin >> Test; for ( int i = 1 ; i <= Test ; i++ ){ Whisper(); if (i < Test) cout << '\n'; } }
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