제출 #612434

#제출 시각아이디문제언어결과실행 시간메모리
612434Sam_a17카니발 티켓 (IOI20_tickets)C++14
100 / 100
1755 ms348980 KiB
// #include "A.cpp" #include <bits/stdc++.h> // #include <vector> using namespace std; #define sz(x) (int((x).size())) #define len(x) (int)x.length() #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define dbg(x) cout << #x << " " << x << endl; #define uniq(x) x.resize(unique(all(x)) - x.begin()); #define pb push_back #define ld long double #define ll long long // #include "tickets.h" // #include <vector> void allocate_tickets(vector<vector<int>> a); struct node { long long i, j, value; bool operator!=(const node& other) const { return (other.i != i || other.j != j || other.value != value); } bool operator==(const node& other) const { return (other.i == i && other.j == j && other.value == value); } bool operator<(const node& other) const { if(value != other.value) { return value < other.value; } if(i != other.i) { return i < other.i; } return j < other.j; } }; long long find_maximum(int k, std::vector<std::vector<int>> x) { int n = x.size(); int m = x[0].size(); std::vector<std::vector<int>> answer; // dbg(k) if(m == 1) { vector<vector<int>> answ; long long pat = 0; vector<long long> values; map<long long, int> mp; for(int i = 0; i < n; i++) { answ.push_back({0}); values.push_back(x[i][0]); mp[x[i][0]]++; pat += x[i][0]; } sort(all(values)); ll s = INT64_MAX, left = 0, leftCnt = 0; for(auto i: mp) { leftCnt += i.second; left += i.second * i.first; ll rightCnt = n - leftCnt; pat -= i.second * i.first; s = min(s, leftCnt * i.first - left + pat - rightCnt * i.first); } allocate_tickets(answ); return s; } else if(k == m) { vector<node> all_members; vector<deque<int>> plus_or_minus; vector<int> poped_front(n); plus_or_minus.resize(n); answer.resize(n); for(int i = 0; i < n; i++) { for(int j = 0; j < m; j++) { // plus_or_minus[i].resize(m); answer[i].resize(m); // all_members.push_back({i, j, x[i][j]}); } } sort(all(all_members)); int mid = (n * m) / 2; long long answ = 0; for(int i = 0; i < n * m; i++) { if(i < mid) { plus_or_minus[all_members[i].i][all_members[i].j] = 0; answ -= all_members[i].value; } else { plus_or_minus[all_members[i].i][all_members[i].j] = 1; answ += all_members[i].value; } } for(int i = 0; i < m; i++) { int plus = n / 2, minus = n / 2; vector<node> new_round; vector<bool> vis(n); for(int j = 0; j < n; j++) { if(!vis[j] && plus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 1 && plus_or_minus[j].back() == 1) { int k = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); answer[j][k] = i, vis[j] = true; plus--; } } for(int j = 0; j < n; j++) { if(!vis[j] && minus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 0 && plus_or_minus[j].back() == 0) { int k = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); answer[j][k] = i, vis[j] = true; minus--; } } for(int j = 0; j < n; j++) { if(!vis[j] && plus && sz(plus_or_minus[j]) && plus_or_minus[j].back() == 1) { int k = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); answer[j][k] = i, vis[j] = true; plus--; } else if(!vis[j] && minus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 0) { int k = poped_front[j]; plus_or_minus[j].pop_front(); answer[j][k] = i, vis[j] = true; poped_front[j]++; minus--; } } assert(minus == 0 && plus == 0); } allocate_tickets(answer); return answ; } else { vector<vector<node>> all; for(int i = 0; i < n; i++) { vector<node> row; for(int j = 0; j < m; j++) { row.push_back({i, j, x[i][j]}); } sort(all(row)); all.push_back(row); } deque<deque<node>> last_n_k, first_k; for(int i = 0; i < n; i++) { deque<node> curr_row, curr_st; for(int j = 0; j < k; j++) { curr_row.push_back(all[i][j]); } for(int j = k; j < m; j++) { curr_st.push_back(all[i][j]); } first_k.push_back(curr_row); last_n_k.push_back(curr_st); } // dbg((n * k) / 2) priority_queue<pair<long long, int>, vector<pair<long long, int>>> candidates; for(int j = 0; j < n; j++) { if(first_k[j].empty()) continue; candidates.push({first_k[j].back().value + last_n_k[j].back().value, j}); } for(int i = 0; i < ((n * k) / 2); i++) { int more_valuable = candidates.top().second; candidates.pop(); node last = first_k[more_valuable].back(); last_n_k[more_valuable].pop_back(); first_k[more_valuable].pop_back(); last_n_k[more_valuable].push_front(last); if(!first_k[more_valuable].empty()) { candidates.push({first_k[more_valuable].back().value + last_n_k[more_valuable].back().value, more_valuable}); } } int all_sz = 0; for(int j = 0; j < n; j++) { all_sz += sz(first_k[j]); } assert(all_sz == ((n * k) / 2)); { // vector<node> all_members; vector<deque<int>> plus_or_minus; vector<int> poped_front(n); map<pair<int, int>, pair<int, int>> mp; plus_or_minus.resize(n); answer.resize(n); for(int i = 0; i < n; i++) { // plus_or_minus[i].resize(k); answer[i].resize(k); int curr_index = 0; vector<long long> new_values; for(int j = 0; j < sz(first_k[i]); j++) { mp[{i, curr_index++}] = {all[i][j].i, all[i][j].j}; // dbg(all[i][j].value) new_values.push_back(all[i][j].value); } // dbg() int cnt = k - sz(first_k[i]); for(int j = m - cnt; j < m; j++) { // dbg(all[i][j].value) mp[{i, curr_index++}] = {all[i][j].i, all[i][j].j}; new_values.push_back(all[i][j].value); } sort(all(new_values)); for(int j = 0; j < sz(new_values); j++) { all_members.push_back({i, j, new_values[j]}); } } sort(all(all_members)); int mid = (n * k) / 2; long long answ = 0; for(int i = 0; i < n * k; i++) { if(i < mid) { plus_or_minus[all_members[i].i][all_members[i].j] = 0; answ -= all_members[i].value; } else { plus_or_minus[all_members[i].i][all_members[i].j] = 1; answ += all_members[i].value; } } for(int i = 0; i < k; i++) { int plus = n / 2, minus = n / 2; vector<node> new_round; vector<bool> vis(n + 1, false); for(int j = 0; j < n; j++) { if(!vis[j] && plus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 1 && plus_or_minus[j].back() == 1) { int ki = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); assert(ki < k); answer[j][ki] = i, vis[j] = true; plus--; } } for(int j = 0; j < n; j++) { if(!vis[j] && minus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 0 && plus_or_minus[j].back() == 0) { int ki = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); assert(ki < k); answer[j][ki] = i, vis[j] = true; minus--; } } for(int j = 0; j < n; j++) { if(!vis[j] && plus && sz(plus_or_minus[j]) && plus_or_minus[j].back() == 1) { int ki = plus_or_minus[j].size() - 1 + poped_front[j]; plus_or_minus[j].pop_back(); assert(ki < k); answer[j][ki] = i, vis[j] = true; plus--; } else if(!vis[j] && minus && sz(plus_or_minus[j]) && plus_or_minus[j][0] == 0) { int ki = poped_front[j]; plus_or_minus[j].pop_front(); assert(ki < k); answer[j][ki] = i, vis[j] = true; poped_front[j]++; minus--; } } assert(minus == 0 && plus == 0); } vector<vector<int>> answii(n, vector<int> (m, -1)); for(int i = 0; i < sz(answer); i++) { for(int j = 0; j < sz(answer[i]); j++) { auto curr_pos = mp[{i, j}]; assert(curr_pos.first < n && curr_pos.second < m); answii[curr_pos.first][curr_pos.second] = answer[i][j]; } } allocate_tickets(answii); return answ; } } // allocate_tickets(answer); return 1; }
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