Submission #1259025

#TimeUsernameProblemLanguageResultExecution timeMemory
1259025shidou26Triple Jump (JOI19_jumps)C++17
100 / 100
637 ms123592 KiB
#include <bits/stdc++.h> using namespace std; #define endl '\n' #define ff first #define ss second #define sz(v) (int)v.size() #define all(v) v.begin(), v.end() #define filter(v) v.resize(unique(all(v)) - v.begin()) #define dbg(x) "[" #x " = " << (x) << "]" mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); template<typename T> bool maximize(T &a, T b) { if(a < b) { a = b; return true; }else return false; } template<typename T> bool minimize(T &a, T b) { if(a > b) { a = b; return true; }else return false; } template<typename T> T rnd(T a, T b) { return uniform_int_distribution<T>(a, b)(rng); } typedef long long ll; typedef long double ld; typedef pair<int, int> pii; typedef pair<long long, int> pli; typedef pair<long long, long long> pll; typedef unsigned int uint; const int N = 5e5 + 3; int n, q; uint a[N]; pii queries[N]; namespace subtask_1 { bool valid() { return n <= 100 && q <= 100; } void deeto() { for(int t = 1; t <= q; t++) { int l, r; tie(l, r) = queries[t]; uint answer = 0; for(int i = l; i <= r; i++) { for(int j = i + 1; j <= r; j++) { for(int k = 2 * j - i; k <= r; k++) { maximize(answer, a[i] + a[j] + a[k]); } } } cout << answer << endl; } } } namespace subtask_2 { bool valid() { return n <= 5e3; } const int N = 5e3 + 3; const int LOG = 14; uint spt[N][LOG]; uint dp[N][N]; uint getMax(int l, int r) { int b = 31 - __builtin_clz(r - l + 1); return max(spt[l][b], spt[r - (1 << b) + 1][b]); } void deeto() { for(int i = 1; i <= n; i++) spt[i][0] = a[i]; for(int j = 1; j < LOG; j++) for(int i = 1; i + (1 << j) - 1 <= n; i++) spt[i][j] = max(spt[i][j - 1], spt[i + (1 << (j - 1))][j - 1]); for(int length = 3; length <= n; length++) { for(int i = 1; i + length - 1 <= n; i++) { int j = i + length - 1; if(length == 3) dp[i][j] = 1LL * a[i] + a[j] + a[i + 1]; else { dp[i][j] = max({ dp[i + 1][j], dp[i][j - 1], a[i] + a[j] + getMax(i + 1, (i + j) / 2) }); } } } for(int t = 1; t <= q; t++) { int l, r; tie(l, r) = queries[t]; cout << dp[l][r] << endl; } } } namespace subtask_4 { bool valid() { return true; } struct Node { uint xy, z, best; Node (uint xy = 0, uint z = 0, uint best = 0) : xy(xy), z(z), best(best) {} friend Node merge(Node a, Node b) { return Node( max(a.xy, b.xy), max(a.z, b.z), max({a.best, b.best, a.xy + b.z}) ); } }; template<const int N> struct SegmentTree { int n; Node st[N << 2]; void init(int _n) {n = _n;} void updateXY(int id, int l, int r, int p, uint value) { if(l == r) { maximize(st[id].xy, value); maximize(st[id].best, st[id].xy + st[id].z); return void(); } int mid = (l + r) >> 1; if(p <= mid) updateXY(id << 1, l, mid, p, value); else updateXY(id << 1 | 1, mid + 1, r, p, value); st[id] = merge(st[id << 1], st[id << 1 | 1]); } void updateZ(int id, int l, int r, int p, uint value) { if(l == r) { st[id].z = value; st[id].best = st[id].xy + st[id].z; return void(); } int mid = (l + r) >> 1; if(p <= mid) updateZ(id << 1, l, mid, p, value); else updateZ(id << 1 | 1, mid + 1, r, p, value); st[id] = merge(st[id << 1], st[id << 1 | 1]); } Node get(int id, int l, int r, int u, int v) { if(r < u || v < l) return Node(); if(u <= l && r <= v) return st[id]; int mid = (l + r) >> 1; return merge(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v)); } }; uint answer[N]; SegmentTree<N> st; vector<pii> candidates[N], ask[N]; void addCandidate(int x, int y) { // cout << x << " " << y << endl; if(2 * y - x <= n) candidates[x].emplace_back(2 * y - x, a[x] + a[y]); } void deeto() { stack<uint> stk; for(int i = n; i >= 1; i--) { while(!stk.empty() && a[stk.top()] < a[i]) { addCandidate(i, stk.top()); stk.pop(); } if(!stk.empty()) addCandidate(i, stk.top()); stk.push(i); } for(int i = 1; i <= q; i++) { int l, r; tie(l, r) = queries[i]; ask[l].emplace_back(r, i); } st.init(n); for(int i = n; i >= 1; i--) { for(pair<int, uint> it : candidates[i]) st.updateXY(1, 1, n, it.first, it.second); st.updateZ(1, 1, n, i, a[i]); for(pii it : ask[i]) { answer[it.second] = st.get(1, 1, n, i, it.first).best; } } for(int i = 1; i <= q; i++) { cout << answer[i] << endl; } } } void process() { if(subtask_1::valid()) return subtask_1::deeto(); if(subtask_2::valid()) return subtask_2::deeto(); if(subtask_4::valid()) return subtask_4::deeto(); } void input() { cin >> n; for(int i = 1; i <= n; i++) { cin >> a[i]; } cin >> q; for(int i = 1; i <= q; i++) { cin >> queries[i].first >> queries[i].second; } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); #define task "Deeto" if(fopen(task".inp", "r")) { freopen(task".inp", "r", stdin); freopen(task".out", "w", stdout); } int testcase = 1; // cin >> testcase; for(int i = 1; i <= testcase; i++) { input(); process(); } cerr << "Saa, watashtachi no deeto hajimemashou" << endl; cerr << "Atarashii kiseki wo koko kara hajimeru shining place nee mou ichido kimi to..." << endl; return 0; } /* B####BGGGGP7^^:::::^!J555PPPPPPPGGGGGB###BGGGGGBBGGBGGGGPPPPPPGGGBGGPPPPPPPPPPPPPPPPPPPPP555555555555555555555555YYJ!:... :!~~77!~~7??JJ?!~!?JYYJ 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Compilation message (stderr)

jumps.cpp: In function 'int main()':
jumps.cpp:241:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  241 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
jumps.cpp:242:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  242 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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