Submission #1156898

#TimeUsernameProblemLanguageResultExecution timeMemory
1156898Zero_OPTriple Jump (JOI19_jumps)C++20
100 / 100
714 ms119984 KiB
#include <bits/stdc++.h> using namespace std; //loops (warning : long long) #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) //pairs, tuples #define mp make_pair #define mt make_tuple #define ff first #define ss second //vectors #define all(v) begin(v), end(v) #define rall(v) rbegin(v), rend(v) #define pb push_back #define eb emplace_back #define sum_of(v) accumulate(all(v), 0ll) #define sz(v) (int)v.size() #define compact(v) v.erase(unique(all(v)), end(v)) //binary search #define lwb lower_bound #define upb upper_bound //other stuffs #define dbg(x) "[" #x " = " << (x) << "]" #define file(task) if(fopen(task".inp", "r")){ freopen(task".inp", "r", stdin); freopen(task".out", "w", stdout); } 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 ull = unsigned long long; using ld = long double; using db = double; using pi = pair<int, int>; using pl = pair<ll, ll>; using vi = vector<int>; using vb = vector<bool>; using vl = vector<ll>; using vpi = vector<pi>; using vpl = vector<pl>; mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); const int MAX = 5e5 + 5; const ll inf = 1e15; int N, Q, pre[MAX]; ll A[MAX], result[MAX]; vpi queries[MAX]; vpi events[MAX]; struct Node{ ll result, max_f, max_v; Node() : result(0), max_f(-inf), max_v(-inf) {} friend Node operator + (const Node& a, const Node& b){ Node c; c.result = max({a.result, b.result, a.max_f + b.max_v}); c.max_f = max(a.max_f, b.max_f); c.max_v = max(a.max_v, b.max_v); return c; } void debug(){ cout << dbg(result) << dbg(max_f) << dbg(max_v); } }; struct SegmentTree{ vector<Node> st; SegmentTree(int n) : st(n << 2) {} void update_f(int id, int l, int r, int pos, ll v){ // if(id == 1){ // cout << "update_f : " << pos << ' ' << v << '\n'; // } if(l == r) maximize(st[id].max_f, v); else{ int mid = l + r >> 1; if(pos <= mid) update_f(id << 1, l, mid, pos, v); else update_f(id << 1 | 1, mid + 1, r, pos, v); st[id] = st[id << 1] + st[id << 1 | 1]; // cout << st[id].result << '\n'; } } void update_v(int id, int l, int r, int pos, ll v){ // if(id == 1){ // cout << "update_v : " << pos << ' ' << v << '\n'; // } if(l == r) maximize(st[id].max_v, v); else{ int mid = l + r >> 1; if(pos <= mid) update_v(id << 1, l, mid, pos, v); else update_v(id << 1 | 1, mid + 1, r, pos, v); st[id] = st[id << 1] + st[id << 1 | 1]; // cout << st[id].result << '\n'; } } Node query(int id, int l, int r, int u, int v){ if(v < l || u > r) return Node(); if(u <= l && r <= v) { // cout << dbg(l) << dbg(r) << ' '; st[id].debug(); cout << '\n'; return st[id]; } int mid = l + r >> 1; return query(id << 1, l, mid, u, v) + query(id << 1 | 1, mid + 1, r, u, v); } }; void add(int i, int j){ if(2*j - i < N){ // cout << i << ' ' << j << ' ' << A[i] + A[j] << ' ' << 2 * j - i << '\n'; events[i].eb(A[i] + A[j], 2*j - i - 1); } } void testcase(int ntestcase){ cin >> N; FOR(i, 0, N){ cin >> A[i]; } stack<int> st; FOR(i, 0, N){ while(!st.empty() && A[st.top()] <= A[i]) { add(st.top(), i); st.pop(); } pre[i] = (st.empty() ? -1 : st.top()); if(pre[i] != -1) add(pre[i], i); st.push(i); } //Only O(N) (i, j, ?) cin >> Q; FOR(i, 0, Q){ int l, r; cin >> l >> r; --l, --r; queries[l].eb(r, i); } SegmentTree T(N); ROF(i, N, 0){ // cout << dbg(i) << '\n'; T.update_v(1, 0, N-1, i, A[i]); for(auto [earn, pos] : events[i]){ T.update_f(1, 0, N-1, pos, earn); } for(auto [j, id] : queries[i]){ // cout << "calc " << i << ' ' << j << '\n'; result[id] = T.query(1, 0, N-1, i, j).result; } } FOR(i, 0, Q){ cout << result[i] << '\n'; } } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); #ifdef LOCAL freopen("task.inp", "r", stdin); freopen("task.out", "w", stdout); #endif // LOCAL int T = 1; // cin >> T; FOR(i, 0, T) testcase(i); return 0; }
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