Submission #143518

#	Time	Username	Problem	Language	Result	Execution time	Memory
143518		icypiggy	Rectangles (IOI19_rect)	C++14	72 / 100	2433 ms	1048580 KiB

rect

#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <stack>
using namespace std;
const int n_max = 2550; // make it not lag
vector<pair<int,bool>> h_seg[n_max][n_max];
vector<pair<int,bool>> v_seg[n_max][n_max];
vector<pair<int,int>> h_map[n_max][n_max];
vector<pair<int,int>> v_map[n_max][n_max];
int get_lower(set<int> &s, int val) {
    auto it = s.lower_bound(val);
    it--;
    return *it;
}
stack<int> s;
void gen_h_seg(vector<int> &x, int r) {
    /*
    vector<pair<int,int>> ret;
    vector<pair<int,int>> y;
    for(int i=0; i<x.size(); i++) {
        y.push_back(make_pair(-x[i],i));
    }
    sort(y.begin(), y.end());
    set<int> s;
    s.insert(-2e8);
    s.insert(2e8);
    for(int i=0; i<y.size(); i++) {
        int z = get_lower(s,y[i].second);
        if(z!=-2e8 && y[i].second!=z+1)
            h_seg[r][z+1].push_back(make_pair(y[i].second-1, true));
        z = *(s.upper_bound(y[i].second));
        if((i+1==y.size() || (y[i].first!=y[i+1].first || z<y[i+1].second)) && z!=2e8 && y[i].second+1!=z) {
            h_seg[r][y[i].second+1].push_back(make_pair(z-1,true));
        }
        s.insert(y[i].second);
    }*/

    s.push(0);
    for(int i=1; i<x.size(); i++) {
        while(!s.empty() && x[s.top()]<x[i]) {
            if(s.top()!=i-1) {
                h_seg[r][s.top()+1].push_back(make_pair(i-1, true));
                //cout << r << " " << s.top()+1 << " " << i-1 << "\n";
            }
            int t = x[s.top()];
            while(!s.empty() && x[s.top()]==t) {
                s.pop();
            }
        }
        if(!s.empty() && s.top()!=i-1) {
            h_seg[r][s.top()+1].push_back(make_pair(i-1, true));
            //cout << r << " " << s.top()+1 << " " << i-1 << "\n";
        }
        s.push(i);
    }
    while(!s.empty()) s.pop();
}
int fwbit[n_max][n_max];
int fwa[n_max][n_max];
int fw_pt = 0;
struct fenwick {
    int *BIT;
    int *a;
    int n;
    fenwick(): n(n_max) {}
    void reset() {
        BIT = fwbit[fw_pt];
        a = fwa[fw_pt];
        fw_pt++;
    }
    void update(int x, int delta)
    {
          for(; x <= n; x += x&-x)
            BIT[x] += delta;
    }
    int query(int x) {
         int sum = 0;
         for(; x > 0; x -= x&-x)
            sum += BIT[x];
         return sum;
    }
    int query(int x, int y) {
        return query(y)-query(x-1);
    }
};
void gen_v_seg(vector<int> &x, int r) {
    s.push(0);
    for(int i=1; i<x.size(); i++) {
        while(!s.empty() && x[s.top()]<x[i]) {
            if(s.top()!=i-1) {
                v_seg[r][s.top()+1].push_back(make_pair(i-1, true));
                //cout << r << " " << s.top()+1 << " " << i-1 << "\n";
            }
            int t = x[s.top()];
            while(!s.empty() && x[s.top()]==t) {
                s.pop();
            }
        }
        if(!s.empty() && s.top()!=i-1) {
            v_seg[r][s.top()+1].push_back(make_pair(i-1, true));
            //cout << r << " " << s.top()+1 << " " << i-1 << "\n";
        }
        s.push(i);
    }
    while(!s.empty()) s.pop();
}

long long count_rectangles(vector<vector<int>> a) {
    for(int i=0; i<a.size(); i++) {
        gen_h_seg(a[i],i);
    }
    for(int i=0; i<a[0].size(); i++) {
        vector<int> tmp;
        for(int j=0; j<a.size(); j++) {
            tmp.push_back(a[j][i]);
        }
        gen_v_seg(tmp, i);
    }
    for(int i=0; i<a.size(); i++) {
        for(int j=0; j<a[0].size(); j++) {
            sort(h_seg[i][j].begin(), h_seg[i][j].end());
            sort(v_seg[j][i].begin(), v_seg[j][i].end());
        }
    }
    for(int i=0; i<a.size(); i++) {
        for(int j=0; j<a[0].size(); j++) {
            for(auto &p: h_seg[i][j]) {
                if(p.second) {
                    int down = i;

                    while(down+1!=a.size()) {
                        auto it = lower_bound(h_seg[down+1][j].begin(), h_seg[down+1][j].end(), make_pair(p.first,true));
                        if(it==h_seg[down+1][j].end()) break;
                        if(*it==make_pair(p.first, true)) {
                            it->second = false;
                            down++;
                        } else {
                            break;
                        }
                    }
                    h_map[i][j].push_back(make_pair(p.first, down));
                }
            }
        }
    }
    for(int i=0; i<a[0].size(); i++) {
        for(int j=0; j<a.size(); j++) {
            for(auto &p: v_seg[i][j]) {
                if(p.second) {
                    int down = i;

                    while(down+1!=a[0].size()) {
                        auto it = lower_bound(v_seg[down+1][j].begin(), v_seg[down+1][j].end(), make_pair(p.first,true));
                        if(it==v_seg[down+1][j].end()) break;
                        if(*it==make_pair(p.first, true)) {
                            it->second = false;
                            down++;
                        } else {
                            break;
                        }
                    }
                    v_map[i][j].push_back(make_pair(p.first, down));
                    //cout << "i,j,p.first,down(v): " << i << " " << j << " " << p.first << " " << down << "\n";
                }
            }
        }
    }
    for(int i=a[0].size()-1; i>=0; i--) {
        for(int j=a.size()-1; j>=0; j--) {
            for(auto p: v_map[i][j]) {
                for(int k=i+1; k<=p.second; k++) {
                    v_map[k][j].push_back(p);
                    //cout << "k,j,p: " << k << " " << j << " " << p.first << " " << p.second << "\n";
                }
            }
        }
    }
    fenwick f[a.size()];
    for(int i=0; i<a.size(); i++) {
        f[i].n = a[0].size()+10;
        f[i].reset();
    }

    long long ans = 0;
    for(int i=0; i<a[0].size(); i++) {
        vector<pair<int,int>> updates;
        for(int j=0; j<a.size(); j++) {
            //cout << "coordinate: " << i << " " << j << "\n";
            for(auto p: h_map[j][i]) {
                for(int k=j; k<=p.second; k++) {
                    f[k].update(p.first, 1);
                    //cout << "updated: " << k << "-th fenwick, position " << p.first << "increased by 1.\n";
                    updates.push_back(make_pair(k, p.first));
                }
            }
            for(auto p: v_map[i][j]) {
                int tmp = f[p.first].query(i,p.second);
                ans += tmp;
                //cout << "ans changed by " << tmp << " queried: " << p.first << " " << i << " " << p.second << "\n";
            }
        }
        for(auto p: updates) {
            f[p.first].update(p.second, -1);
            //cout << "undo increment: " << p.first << " " << p.second << "\n";
        }
    }
    //cout << "ans: " << ans << "\n";
    return ans;
}

Compilation message (stderr)

rect.cpp: In function 'void gen_h_seg(std::vector<int>&, int)':
rect.cpp:41:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=1; i<x.size(); i++) {
                  ~^~~~~~~~~
rect.cpp: In function 'void gen_v_seg(std::vector<int>&, int)':
rect.cpp:90:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=1; i<x.size(); i++) {
                  ~^~~~~~~~~
rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:111:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a.size(); i++) {
                  ~^~~~~~~~~
rect.cpp:114:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a[0].size(); i++) {
                  ~^~~~~~~~~~~~
rect.cpp:116:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=0; j<a.size(); j++) {
                      ~^~~~~~~~~
rect.cpp:121:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a.size(); i++) {
                  ~^~~~~~~~~
rect.cpp:122:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=0; j<a[0].size(); j++) {
                      ~^~~~~~~~~~~~
rect.cpp:127:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a.size(); i++) {
                  ~^~~~~~~~~
rect.cpp:128:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=0; j<a[0].size(); j++) {
                      ~^~~~~~~~~~~~
rect.cpp:133:33: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                     while(down+1!=a.size()) {
                           ~~~~~~^~~~~~~~~~
rect.cpp:148:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a[0].size(); i++) {
                  ~^~~~~~~~~~~~
rect.cpp:149:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=0; j<a.size(); j++) {
                      ~^~~~~~~~~
rect.cpp:154:33: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                     while(down+1!=a[0].size()) {
                           ~~~~~~^~~~~~~~~~~~~
rect.cpp:181:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a.size(); i++) {
                  ~^~~~~~~~~
rect.cpp:187:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i=0; i<a[0].size(); i++) {
                  ~^~~~~~~~~~~~
rect.cpp:189:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=0; j<a.size(); j++) {
                      ~^~~~~~~~~

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