Submission #659139

#	Time	Username	Problem	Language	Result	Execution time	Memory
659139		evenvalue	Carnival Tickets (IOI20_tickets)	C++17	76 / 100	1751 ms	184664 KiB

tickets

#include "tickets.h"
#include <bits/stdc++.h>
using namespace std;

template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;

using int64 = long long;
using ld = long double;

constexpr int kInf = 1e9 + 10;
constexpr int64 kInf64 = 1e15 + 10;
constexpr int kMod = 1e9 + 7;

struct ticket {
  int value;
  int color;
  int group;

  bool operator<(const ticket &other) const {
    return value < other.value;
  }

  bool operator>(const ticket &other) const {
    return value > other.value;
  }
};

struct ticket_pair {
  ticket one;
  ticket two;

  bool operator<(const ticket_pair &other) const {
    return one.value + two.value < other.one.value + other.two.value;
  }

  bool operator>(const ticket_pair &other) const {
    return one.value + two.value > other.one.value + other.two.value;
  }
};

int64 find_maximum(const int k, const vector<vector<int>> X) {
  const int n = (int) X.size();   //number of colours
  const int m = (int) X[0].size();//number of tickets
  const int choose = n * k;       //number of tickets to choose

  vector<vector<ticket>> tickets(n, vector<ticket>(m));
  for (int color = 0; color < n; color++) {
    for (int group = 0; group < m; group++) {
      tickets[color][group].value = X[color][group];
      tickets[color][group].color = color;
      tickets[color][group].group = group;
    }
  }

  vector<max_heap<ticket>> max_ticket(n);
  for (int color = 0; color < n; color++) {
    for (ticket &t : tickets[color]) {
      max_ticket[color].push(t);
    }
  }

  max_heap<ticket_pair> pq;
  for (auto color : tickets) {
    sort(color.begin(), color.end());
    for (int i = 0; i < k; i++) {
      pq.push({color[i], color[m - k + i]});
    }
  }

  assert(pq.size() == choose);

  vector<ticket> positive;
  while (pq.size() > choose / 2) {
    positive.push_back(pq.top().two);
    pq.pop();
  }

  vector<ticket> negative;
  while (not pq.empty()) {
    negative.push_back(pq.top().one);
    pq.pop();
  }

  assert(positive.size() == choose / 2);
  assert(negative.size() == choose / 2);

  sort(positive.begin(), positive.end(), [&](const ticket &t1, const ticket &t2)-> bool {
    return t1.color < t2.color;
  });

  sort(negative.begin(), negative.end(), [&](const ticket &t1, const ticket &t2) -> bool {
    return t1.color > t2.color;
  });

  int64 score = 0;
  vector<vector<int>> s(n, vector<int>(m, -1));
  for (int i = 0, r = 0; i < choose / 2; i++, r = (r + 1) % k) {
    const ticket t1 = positive[i];
    const ticket t2 = negative[i];
    s[t1.color][t1.group] = r;
    s[t2.color][t2.group] = r;
    score += t1.value;
    score -= t2.value;
  }

  allocate_tickets(s);
  return score;
}

Compilation message (stderr)

In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from tickets.cpp:2:
tickets.cpp: In function 'int64 find_maximum(int, std::vector<std::vector<int> >)':
tickets.cpp:73:20: warning: comparison of integer expressions of different signedness: 'std::priority_queue<ticket_pair, std::vector<ticket_pair, std::allocator<ticket_pair> >, std::less<ticket_pair> >::size_type' {aka 'long unsigned int'} and 'const int' [-Wsign-compare]
   73 |   assert(pq.size() == choose);
      |          ~~~~~~~~~~^~~~~~~~~
tickets.cpp:76:20: warning: comparison of integer expressions of different signedness: 'std::priority_queue<ticket_pair, std::vector<ticket_pair, std::allocator<ticket_pair> >, std::less<ticket_pair> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   76 |   while (pq.size() > choose / 2) {
      |          ~~~~~~~~~~^~~~~~~~~~~~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from tickets.cpp:2:
tickets.cpp:87:26: warning: comparison of integer expressions of different signedness: 'std::vector<ticket>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   87 |   assert(positive.size() == choose / 2);
      |          ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~
tickets.cpp:88:26: warning: comparison of integer expressions of different signedness: 'std::vector<ticket>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   88 |   assert(negative.size() == choose / 2);
      |          ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~

• Subtask 1: 11 / 11
• Subtask 2: 16 / 16
• Subtask 3: 0 / 14
• Subtask 4: 14 / 14
• Subtask 5: 12 / 12
• Subtask 6: 23 / 23
• Subtask 7: 0 / 10