Submission #1166045

#TimeUsernameProblemLanguageResultExecution timeMemory
1166045Zero_OPConstellation 3 (JOI20_constellation3)C++20
0 / 100
10 ms20800 KiB
#include <bits/stdc++.h> using namespace std; #define FOR(i, l, r) for(int i = (l); i < (r); ++i) #define ROF(i, r, l) for(int i = (r) - 1; i >= (l); --i) #define mp make_pair #define mt make_tuple #define ff first #define ss second #define all(v) begin(v), end(v) #define rall(v) rbegin(v), rend(v) #define pb push_back #define eb emplace_back #define sz(v) (int)v.size() #define sum_of(v) accumulate(all(v), 0ll) #define compact(v) v.erase(unique(all(v)), end(v)) #define dbg(x) "[" #x " = " << (x) << "]" template<typename T> bool minimize(T& a, const T& b){ if(a > b) return a = b, true; return false; } template<typename T> bool maximize(T& a, const T& b){ if(a < b) return a = b, true; return false; } using ll = long long; using db = double; using ld = long double; using ull = unsigned long long; using pi = pair<int, int>; using pl = pair<ll, ll>; using pd = pair<db, db>; using vi = vector<int>; using vb = vector<bool>; using vc = vector<char>; using vl = vector<ll>; using vd = vector<db>; using vpi = vector<pi>; using vpl = vector<pl>; void setIO(){ ios_base::sync_with_stdio(0); cin.tie(0); #ifdef LOCAL freopen("task.inp", "r", stdin); freopen("task.out", "w", stdout); #endif // LOCAL } const int MAX = 2e5 + 5; namespace FenwickTree{ ll bit[MAX]; int n; void update(int id, ll val){ for(; id <= n; id += id & (-id)) bit[id] += val; } ll query(int id){ ll sum = 0; for(; id > 0; id -= id & (-id)) sum += bit[id]; return sum; } ll query(int l, int r){ return query(r) - query(l-1); } } int N, M, A[MAX], l[MAX], r[MAX], up[20][MAX], tin[MAX], tout[MAX], timer_dfs; pi rmq[20][MAX]; vpi path[MAX]; ll dp[MAX], sum_dp[MAX]; pi query_max(int l, int r){ int k = 31 - __builtin_clz(r - l + 1); return max(rmq[k][l], rmq[k][r - (1 << k) + 1]); } int initCatersianTree(int L, int R){ int m = query_max(L, R).ss; if(L<m) up[0][l[m] = initCatersianTree(L, m-1)] = m; if(m<R) up[0][r[m] = initCatersianTree(m+1, R)] = m; return m; } void dfs(int u){ // cout << dbg(u) << '\n'; tin[u] = ++timer_dfs; if(l[u] != -1) dfs(l[u]); if(r[u] != -1) dfs(r[u]); tout[u] = timer_dfs; } bool inside(int u, int v){ return tin[u] <= tin[v] && tout[v] <= tout[u]; } int find_subtree(int u, int c){ if(l[u] != -1 && inside(l[u], c)) return l[u]; if(r[u] != -1 && inside(r[u], c)) return r[u]; return -1; } void update(int u, ll val){ FenwickTree::update(tin[u], +val); FenwickTree::update(tout[u]+1, -val); } ll sum_path(int u, int v){ return FenwickTree::query(tin[v]) - FenwickTree::query(tin[u]-1); } void calc(int u){ if(l[u] != -1){ calc(l[u]); sum_dp[u] += dp[l[u]]; } if(r[u] != -1){ calc(r[u]); sum_dp[u] += dp[r[u]]; } maximize(dp[u], sum_dp[u]); for(auto [v, c] : path[u]){ int f = find_subtree(u, v); maximize(dp[u], sum_dp[u] + sum_dp[v] + sum_path(f, v) - dp[v] + c); } if(l[u] != -1) update(l[u], sum_dp[u] - dp[l[u]]); if(r[u] != -1) update(r[u], sum_dp[u] - dp[r[u]]); } int main(){ setIO(); cin >> N; FOR(i, 0, N) { cin >> A[i], rmq[0][i] = mp(A[i], i); l[i] = -1; r[i] = -1; } for(int i = 1; (1 << i) <= N; ++i){ FOR(j, 0, N - (1 << i) + 1) rmq[i][j] = max(rmq[i-1][j], rmq[i-1][j + (1 << (i-1))]); } memset(up, -1, sizeof(up)); int rt = initCatersianTree(0, N-1); dfs(rt); // FOR(i, 0, N) cout << up[0][i] << " \n"[i == N-1]; for(int i = 1; (1 << i) < N; ++i){ FOR(j, 0, N){ if(up[j-1][i] == -1) up[j][i] = -1; else up[j][i] = up[j-1][up[j-1][i]]; } } cin >> M; ll sum = 0; FOR(i, 0, M){ int X, Y, C; cin >> X >> Y >> C; --X; sum += C; int pos = X; for(int i = 31 - __builtin_clz(N-1); i >= 0; --i){ if(up[i][pos] != -1 && A[up[i][pos]] < Y) pos = up[i][pos]; } path[pos].eb(X, C); } FenwickTree::n = timer_dfs; calc(rt); cout << sum - dp[rt] << '\n'; return 0; }
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