Submission #937438

#TimeUsernameProblemLanguageResultExecution timeMemory
937438WhisperBitaro’s Party (JOI18_bitaro)C++17
100 / 100
1586 ms315540 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, n) for (int i = 0; i < n; ++i) #define REPD(i, n) for (int i = n - 1; i >= 0; --i) #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 = 2e5 + 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, numQuery, numEdge; vector<int> G[MAX]; vector<pair<int, int>> opt[MAX]; //opt(i) save the node has length x end at i #define BLOCK 222 int dis[MAX], vis[MAX]; void Whisper(){ cin >> numNode >> numEdge >> numQuery; for (int i = 1; i <= numEdge; ++i){ int u, v; cin >> u >> v; //change the direction of DAG G[v].emplace_back(u); } // O(n * sqrt(n)) // solving for case: c < BLOCK // because the number of unsastified node is smaller than BLOCK //=> the opt[u] size at most BLOCK is enough // we can proved that always exist and beavers that not busy in opt[u] for (int u = 1; u <= numNode; ++u){ vector<int> current; for(int &v : G[u]){ for (pair<int, int>& x : opt[v]){ if (vis[x.second] == u){ maximize(dis[x.second], x.first + 1); } else { vis[x.second] = u; dis[x.second] = x.first + 1; current.push_back(x.second); } } } opt[u].emplace_back(0, u); for (int &v : current){ opt[u].emplace_back(dis[v], v); } sort(opt[u].rbegin(), opt[u].rend()); while ((int)opt[u].size() > BLOCK) opt[u].pop_back(); } vector<int> busy(numNode + 1, 0); for (int t = 1; t <= numQuery; ++t){ int x, c; cin >> x >> c; vector<int> rback; for(int i = 1; i <= c; ++i){ int v; cin >> v; rback.push_back(v); busy[v] = 1; } if (c >= BLOCK){ // using dp on DAG to solve this with total complexivity O(n) vector<int> dp(numNode + 1, -INF); for (int u = 1; u <= x; ++u){ if (!busy[u]) maximize(dp[u], 0); for (int &v : G[u]){ maximize(dp[u], dp[v] + 1); } } maximize(dp[x], -1); cout << dp[x] << '\n'; } else{ int ans = -1; for (pair<int, int> v : opt[x]) if(!busy[v.second]){ maximize(ans, v.first); } cout << ans << '\n'; } for (auto&v : rback) busy[v] = 0; } } 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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