oj.uz

Submission #445152

# Submission time Handle Problem Language Result Execution time Memory
445152 2021-07-16T16:21:46 Z lohacho Matching (COCI20_matching) C++14
110 / 110
 999 ms 131240 KB 
#include <bits/stdc++.h>
#define int long long
#define umi(x, y) (x = min(x, y))
#define uma(x, y) (x = max(x, y))
using namespace std;
 
const int NS = (int)1e5 + 4;
 
int q[NS * 2][3], f, r;
 
struct Seg{
    int n;
    vector<set<int>> tree;
    Seg(int N):n(N * 4){
        tree.resize(n);
    }
    void push(int x, int s, int e, int ps, int pe, int val){
        if(pe < s || ps > e) return;
        if(ps <= s && pe >= e){
            tree[x].insert(val);
            return;
        }
        int m = (s + e) >> 1;
        push(x * 2, s, m, ps, pe, val), push(x * 2 + 1, m + 1, e, ps, pe, val);
    }
    void era(int x, int s, int e, int es, int ee, int val){
        if(ee < s || es > e) return;
        if(es <= s && ee >= e){
            tree[x].erase(val);
            return;
        }
        int m = (s + e) >> 1;
        era(x * 2, s, m, es, ee, val), era(x * 2 + 1, m + 1, e, es, ee, val);
    }
    int get(int x, int s, int e, int pos, int low, int high){
        if(pos < s || pos > e) return -1;
        auto p = tree[x].lower_bound(low);
        int rv;
        if(p == tree[x].end() || *p > high) rv = -1;
        else rv = *p;
        if(s < e){
            int m = (s + e) >> 1;
            uma(rv, max(get(x * 2, s, m, pos, low, high), get(x * 2 + 1, m + 1, e, pos, low, high)));
        }
        return rv;
    }
};
 
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n; cin >> n;
    vector<pair<int, int>> a(n);
    vector<vector<int>> x(NS), y(NS);
    for(int i = 0; i < n; ++i){
        cin >> a[i].first >> a[i].second;
        x[a[i].first].push_back(i), y[a[i].second].push_back(i);
    }
    vector<int> ax(NS, -1), ay(NS, -1);
    Seg sx(NS + 4), sy(NS + 4), ssx(NS + 4);
    auto px = [&](int val, int col){
        if(ax[val] == col){
            cout << "NE"; exit(0);
        }
        if(ax[val] == -1){
            ax[val] = 1 - col;
            q[r][0] = x[val][0], q[r][1] = x[val][1], q[r++][2] = 1 - col;
            sy.era(1, 1, NS - 1, min(a[x[val][0]].second, a[x[val][1]].second), max(a[x[val][0]].second, a[x[val][1]].second), val);
        }
    };
    auto py = [&](int val, int col){
        if(ay[val] == col){
            cout << "NE"; exit(0);
        }
        if(ay[val] == -1){
            ay[val] = 1 - col;
            q[r][0] = y[val][0], q[r][1] = y[val][1], q[r++][2] = 1 - col;
            sx.era(1, 1, NS - 1, min(a[y[val][0]].first, a[y[val][1]].first), max(a[y[val][0]].first, a[y[val][1]].first), val);
        }
    };
    for(int i = 1; i < NS; ++i){
        if((int)x[i].size() >= 2){
            int va = a[x[i][0]].second, vb = a[x[i][1]].second;
            sy.push(1, 1, NS - 1, min(va, vb), max(va, vb), i);
        }
        if((int)y[i].size() >= 2){
            int va = a[y[i][0]].first, vb = a[y[i][1]].first;
            sx.push(1, 1, NS - 1, min(va, vb), max(va, vb), i);
        }
    }
    for(int i = 0; i < n; ++i){
        if((int)x[a[i].first].size() + (int)y[a[i].second].size() == 2){
            cout << "NE"; return 0;
        }
        if((int)x[a[i].first].size() == 1){
           py(a[i].second, 0);
        }
        else if((int)y[a[i].second].size() == 1){
            px(a[i].first, 0);
        }
    }
    while(f < r){
        int nx = q[f][0], ny = q[f][1], num = q[f][2];
        if(a[nx].first == a[ny].first){
            while(true){
                int mn = min(a[nx].second, a[ny].second), mx = max(a[nx].second, a[ny].second);
                int val = sx.get(1, 1, NS - 1, a[nx].first, mn, mx);
                if(val != -1){
                    py(val, num);
                }
                else break;
            }
        }
        else{
            while(true){
                int mn = min(a[nx].first, a[ny].first), mx = max(a[nx].first, a[ny].first);
                int val = sy.get(1, 1, NS - 1, a[ny].second, mn, mx);
                if(val != -1){
                    px(val, num);
                }
                else break;
            }
        }
        ++f;
    }
    vector<int> oy, ox;
    for(int i = 1; i <= NS - 1; ++i){
        if((int)x[i].size() >= 2 && ax[i] == -1) ax[i] = 1;
        if(ax[i] == 1){
            ox.push_back(i);
        }
        if(ay[i] == 1){
            oy.push_back(i);
        }
    }
    if((int)ox.size() + (int)oy.size() != n / 2){
        cout << "NE"; return 0;
    }
    for(auto&i:oy){
        ssx.push(1, 1, NS - 1, min(a[y[i][0]].first, a[y[i][1]].first), max(a[y[i][0]].first, a[y[i][1]].first), i);
    }
    for(auto&i:ox){
        if(ssx.get(1, 1, NS - 1, i, min(a[x[i][0]].second, a[x[i][1]].second), max(a[x[i][0]].second, a[x[i][1]].second)) != -1){
            cout << "NE"; return 0;
        }
    }
    cout << "DA\n";
    for(int i = 1; i <= NS - 1; ++i){
        if((int)x[i].size() >= 2 && ax[i] == -1) ax[i] = 1;
        if(ax[i] == 1){
            cout << x[i][0] + 1 << ' ' << x[i][1] + 1 << '\n';
        }
        if(ay[i] == 1){
            cout << y[i][0] + 1 << ' ' << y[i][1] + 1 << '\n';
        }
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62948 KB Output is correct
2 Correct 38 ms 62860 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62948 KB Output is correct
2 Correct 38 ms 62860 KB Output is correct
3 Correct 39 ms 62880 KB Output is correct
4 Correct 38 ms 62932 KB Output is correct
5 Correct 38 ms 62916 KB Output is correct
6 Correct 38 ms 62948 KB Output is correct
7 Correct 38 ms 62916 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62948 KB Output is correct
2 Correct 38 ms 62860 KB Output is correct
3 Correct 39 ms 62880 KB Output is correct
4 Correct 38 ms 62932 KB Output is correct
5 Correct 38 ms 62916 KB Output is correct
6 Correct 38 ms 62948 KB Output is correct
7 Correct 38 ms 62916 KB Output is correct
8 Correct 38 ms 62896 KB Output is correct
9 Correct 39 ms 62924 KB Output is correct
10 Correct 38 ms 62968 KB Output is correct
11 Correct 40 ms 62884 KB Output is correct
12 Correct 39 ms 62972 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62948 KB Output is correct
2 Correct 38 ms 62860 KB Output is correct
3 Correct 39 ms 62880 KB Output is correct
4 Correct 38 ms 62932 KB Output is correct
5 Correct 38 ms 62916 KB Output is correct
6 Correct 38 ms 62948 KB Output is correct
7 Correct 38 ms 62916 KB Output is correct
8 Correct 38 ms 62896 KB Output is correct
9 Correct 39 ms 62924 KB Output is correct
10 Correct 38 ms 62968 KB Output is correct
11 Correct 40 ms 62884 KB Output is correct
12 Correct 39 ms 62972 KB Output is correct
13 Correct 43 ms 63808 KB Output is correct
14 Correct 43 ms 63788 KB Output is correct
15 Correct 44 ms 63704 KB Output is correct
16 Correct 43 ms 63856 KB Output is correct
17 Correct 43 ms 63812 KB Output is correct
18 Correct 43 ms 63792 KB Output is correct
19 Correct 43 ms 63720 KB Output is correct
20 Correct 42 ms 63772 KB Output is correct
21 Correct 43 ms 63684 KB Output is correct
22 Correct 47 ms 63756 KB Output is correct
23 Correct 45 ms 63944 KB Output is correct
24 Correct 46 ms 64068 KB Output is correct

Subtask #5
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 62948 KB Output is correct
2 Correct 38 ms 62860 KB Output is correct
3 Correct 39 ms 62880 KB Output is correct
4 Correct 38 ms 62932 KB Output is correct
5 Correct 38 ms 62916 KB Output is correct
6 Correct 38 ms 62948 KB Output is correct
7 Correct 38 ms 62916 KB Output is correct
8 Correct 38 ms 62896 KB Output is correct
9 Correct 39 ms 62924 KB Output is correct
10 Correct 38 ms 62968 KB Output is correct
11 Correct 40 ms 62884 KB Output is correct
12 Correct 39 ms 62972 KB Output is correct
13 Correct 43 ms 63808 KB Output is correct
14 Correct 43 ms 63788 KB Output is correct
15 Correct 44 ms 63704 KB Output is correct
16 Correct 43 ms 63856 KB Output is correct
17 Correct 43 ms 63812 KB Output is correct
18 Correct 43 ms 63792 KB Output is correct
19 Correct 43 ms 63720 KB Output is correct
20 Correct 42 ms 63772 KB Output is correct
21 Correct 43 ms 63684 KB Output is correct
22 Correct 47 ms 63756 KB Output is correct
23 Correct 45 ms 63944 KB Output is correct
24 Correct 46 ms 64068 KB Output is correct
25 Correct 297 ms 93008 KB Output is correct
26 Correct 357 ms 93744 KB Output is correct
27 Correct 284 ms 92868 KB Output is correct
28 Correct 307 ms 93124 KB Output is correct
29 Correct 244 ms 92004 KB Output is correct
30 Correct 244 ms 92228 KB Output is correct
31 Correct 286 ms 92704 KB Output is correct
32 Correct 278 ms 92596 KB Output is correct
33 Correct 248 ms 89608 KB Output is correct
34 Correct 247 ms 89916 KB Output is correct
35 Correct 198 ms 88804 KB Output is correct
36 Correct 999 ms 131240 KB Output is correct
37 Correct 348 ms 102468 KB Output is correct
38 Correct 377 ms 101904 KB Output is correct