Submission #983971

#TimeUsernameProblemLanguageResultExecution timeMemory
983971phoenix0423Carnival Tickets (IOI20_tickets)C++17
100 / 100
1062 ms76432 KiB
#include<bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> pll; #define pb push_back #define eb emplace_back #include "tickets.h" const int maxn = 1505; const ll INF = 1e18; // ll dp[maxn][maxn]; long long find_maximum(int k, std::vector<std::vector<int>> x) { int n = x.size(); int m = x[0].size(); vector<vector<int>> ans(n, vector<int>(m, -1)); ll cost = 0; multiset<pll> stl, str; // l : l -> r, r : r -> l vector<int> l(n), r(n); auto rid = [&](int i) -> void { if(l[i]) stl.erase({x[i][r[i]] + x[i][l[i] - 1], i}); if(r[i] < m - 1) str.erase({x[i][r[i] + 1] + x[i][l[i]], i}); }; auto put = [&](int i) -> void { if(l[i]) stl.insert({x[i][r[i]] + x[i][l[i] - 1], i}); if(r[i] < m - 1) str.insert({x[i][r[i] + 1] + x[i][l[i]], i}); }; for(int i = 0; i < n; i++){ if(i < n / 2) l[i] = k, r[i] = m - 1; else l[i] = 0, r[i] = m - 1 - k; for(int j = 0; j < l[i]; j++) cost -= x[i][j]; for(int j = r[i] + 1; j < m; j++) cost += x[i][j]; put(i); } while(true){ auto [a, b] = *prev(stl.end()); auto [c, d] = *str.begin(); if(b == d || a <= c) break; rid(b), rid(d); // swap(ans[b][l[b] - 1], ans[b][r[b]]); // swap(ans[d][l[d]], ans[d][r[d] + 1]); l[b] --, r[b] --; l[d] ++, r[d] ++; put(b), put(d); } vector<int> cnt(k); for(int i = 0; i < n; i++){ priority_queue<pll, vector<pll>, greater<pll>> q; for(int j = 0; j < k; j++) q.push({cnt[j], j}); set<int> used; for(int j = 0; j < l[i]; j++){ auto [c, val] = q.top(); q.pop(); cnt[val] ++; ans[i][j] = val, used.insert(val); } int c = 0; for(int j = r[i] + 1; j < m; j++){ while(used.count(c)) c++; ans[i][j] = c; c++; } while(used.count(c)) c++; assert(c == k); } int mn = 1e9, mx = 0; cost = 0; vector<vector<int>> a(k); for(int i = 0; i < n; i++){ for(int j = 0; j < l[i]; j++) cost -= x[i][j], mx = max(mx, x[i][j]); for(int j = r[i] + 1; j < m; j++) cost += x[i][j], mn = min(mn, x[i][j]); } // cout<<mn<<" "<<mx<<"\n"; assert(mn >= mx); allocate_tickets(ans); return cost; }
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