Submission #887980

#	Time	Username	Problem	Language	Result	Execution time	Memory
887980		abczz	Rectangles (IOI19_rect)	C++14	23 / 100	3312 ms	441436 KiB

rect

#include "rect.h"
#include <iostream>
#include <map>
#include <algorithm>
#include <array>
#include <vector>
#define ll long long

using namespace std;

map <ll, ll> mp;
vector <ll> U;
vector <array<ll, 2>> V;
vector <array<ll, 2>> tmp;
vector <array<ll, 2>> A[2500][2500], B[2500][2500];
ll bit[2501], upd[2500], n, m, f;

void add(ll u) {
	while (u <= n) {
		U.push_back(u);
		++bit[u];
		u += u & -u;
	}
}

ll query(ll u) {
	ll res = 0;
	while (u) {
		res += bit[u];
		u -= u & -u;
	}
	return res;
}

long long count_rectangles(std::vector<std::vector<int> > a) {
	n = a.size(), m = a[0].size(), f = 0;
	for (int i=0; i<n; ++i) {
		mp.clear();
		V.clear();
		for (int j=0; j<m; ++j) {
			V.push_back({a[i][j], j});
		}
		sort(V.begin(), V.end(), [](auto a, auto b) {
			return a[0] > b[0];
		});
		ll p = 0;
		for (int j=0; j<V.size(); ++j) {
			mp[V[j][1]] = p;
			if (j != V.size()-1 && V[j][0] == V[j+1][0]) continue;
			else {
				while (p <= j) {
					auto it = mp.lower_bound(V[p][1]);
					if (it != mp.begin()) {
						auto pv = prev(it);
						if (pv->first+1 != it->first) {
							A[i][it->first-1].push_back({pv->first+1, i});
						}
					}
					auto nx = next(it);
					if (nx != mp.end() && it->first+1 != nx->first && it->second != nx->second) {
						A[i][nx->first-1].push_back({it->first+1, i});
					}
					++p;
				}
			}
		}
		for (int j=0; j<m; ++j) {
			if (i && !A[i][j].empty()) {
				int k = 0;
				for (auto [u, v] : A[i-1][j]) {
					while (k < A[i][j].size()-1 && A[i][j][k][0] < u) ++k;
					if (A[i][j][k][0] == u) A[i][j][k][1] = v;
				}
			}
		}
	}
	for (int j=0; j<m; ++j) {
		mp.clear();
		V.clear();
		for (int i=0; i<n; ++i) {
			V.push_back({a[i][j], i});
		}
		sort(V.begin(), V.end(), [](auto a, auto b) {
			return a[0] > b[0];
		});
		ll p = 0;
		for (int i=0; i<V.size(); ++i) {
			mp[V[i][1]] = p;
			if (i != V.size()-1 && V[i][0] == V[i+1][0]) continue;
			else {
				while (p <= i) {
					auto it = mp.lower_bound(V[p][1]);
					if (it != mp.begin()) {
						auto pv = prev(it); 
						if (pv->first+1 != it->first) {
							upd[pv->first+1] = j;
							B[it->first-1][j].push_back({j, pv->first+1});
						}
					}
					auto nx = next(it);
					if (nx != mp.end() && it->first+1 != nx->first && it->second != nx->second) {
						upd[it->first+1] = j;
						B[nx->first-1][j].push_back({j, it->first+1});
					}
					++p;
				}
			}
		}
		for (int i=0; i<n; ++i) {
			if (j && !B[i][j].empty()) {
				int k = 0;
				tmp.clear();
				for (auto [u, v] : B[i][j-1]) {
					if (upd[v] == j) {
						upd[v] = -1;
						tmp.push_back({u, v});
					}
				}
				for (auto [u, v] : B[i][j]) {
					if (upd[v] == -1) {
						upd[v] = j;
					}
					else tmp.push_back({u, v});
				}
				swap(B[i][j], tmp);
			}
		}
	}
	for (int i=0; i<n; ++i) {
		for (int j=0; j<m; ++j) {
			sort(B[i][j].begin(), B[i][j].end());
			ll l = 0, r = 0;
			while (l < A[i][j].size() && r < B[i][j].size()) {
				if (B[i][j][r][0] <= A[i][j][l][0]) {
					//if (i == 4 && j == 3) cout << B[i][j][r][0] << "*" << B[i][j][r][1] << endl;
					add(n-B[i][j][r][1]);
					++r;
				}
				else {
					f += query(n-A[i][j][l][1]);
					//if (i == 4 && j == 3) cout << A[i][j][l][0] << " " << A[i][j][l][1] << endl;
					/*if (query(n-A[i][j][l][1])) {
						cout << A[i][j][l][0] << " " << A[i][j][l][1] << endl;
						cout << i << " " << j << " " << query(n-A[i][j][l][1]) << '\n';
					}*/
					++l;
				}
			}
			while (l < A[i][j].size()) {
				f += query(n-A[i][j][l][1]);
				/*if (query(n-A[i][j][l][1])) {
					cout << A[i][j][l][0] << " " << A[i][j][l][1] << endl;
					cout << i << " " << j << " " << query(n-A[i][j][l][1]) << '\n';
				}*/
				++l;
			}
			while (!U.empty()) {
				auto u = U.back();
				U.pop_back();
				bit[u] = 0;
			}
		}
	}
	return f;
}

Compilation message (stderr)

rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:47:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |   for (int j=0; j<V.size(); ++j) {
      |                 ~^~~~~~~~~
rect.cpp:49:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |    if (j != V.size()-1 && V[j][0] == V[j+1][0]) continue;
      |        ~~^~~~~~~~~~~~~
rect.cpp:70:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   70 |     for (auto [u, v] : A[i-1][j]) {
      |               ^
rect.cpp:71:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |      while (k < A[i][j].size()-1 && A[i][j][k][0] < u) ++k;
      |             ~~^~~~~~~~~~~~~~~~~~
rect.cpp:87:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |   for (int i=0; i<V.size(); ++i) {
      |                 ~^~~~~~~~~
rect.cpp:89:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |    if (i != V.size()-1 && V[i][0] == V[i+1][0]) continue;
      |        ~~^~~~~~~~~~~~~
rect.cpp:113:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  113 |     for (auto [u, v] : B[i][j-1]) {
      |               ^
rect.cpp:119:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  119 |     for (auto [u, v] : B[i][j]) {
      |               ^
rect.cpp:111:9: warning: unused variable 'k' [-Wunused-variable]
  111 |     int k = 0;
      |         ^
rect.cpp:133:13: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  133 |    while (l < A[i][j].size() && r < B[i][j].size()) {
      |           ~~^~~~~~~~~~~~~~~~
rect.cpp:133:35: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  133 |    while (l < A[i][j].size() && r < B[i][j].size()) {
      |                                 ~~^~~~~~~~~~~~~~~~
rect.cpp:149:13: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |    while (l < A[i][j].size()) {
      |           ~~^~~~~~~~~~~~~~~~

• Subtask 1: 0 / 8
• Subtask 2: 0 / 7
• Subtask 3: 0 / 12
• Subtask 4: 0 / 22
• Subtask 5: 10 / 10
• Subtask 6: 13 / 13
• Subtask 7: 0 / 28