oj.uz

Submission #1053236

# Submission time Handle Problem Language Result Execution time Memory
1053236 2024-08-11T09:55:45 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
 316 ms 138672 KB 
#include "parks.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
template<typename T, size_t N>
std::ostream& operator<<(std::ostream& os, const std::array<T, N>& a);
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v);
template<typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& p);
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::set<T>& s);
template<typename T, typename cmp>
std::ostream& operator<<(std::ostream& os, const std::set<T, cmp>& s);


struct Road
{
    pair<int, int> u, v, bench;
    int u_idx, v_idx, idx;
    int o;
    Road() {
        u = v = bench = {-1, -1};
        u_idx = v_idx = idx = o = -1;
    }
    Road(const pii& a, const pii& b, int a_idx, int b_idx, int j) : u(a), v(b), u_idx(a_idx), v_idx(b_idx), idx(j) {
        bench = {-1, -1};
        if(u > v) {
            swap(u, v);
            swap(u_idx, v_idx);
        }
        assert(u.first == v.first or u.second == v.second);
        if(u.first == v.first) { // vertical
            o = 0;
        }
        else { // horizontal
            o = 1;
        }
    }
    bool operator<(const Road& other) const {
        return make_pair(u, v) < make_pair(other.u, other.v);
    }
    friend ostream& operator<<(ostream& os, const Road& r) {
        os << r.u_idx << " -> " << r.v_idx << " : " << r.u << " --> " << r.v;
        return os;
    }
};

int construct_roads(vector<int> x, vector<int> y) {
    int n = x.size();
    // vector<pii> points(n);
    // for(int i = 0; i < n; ++i) {
    //     points[i] = {x[i], y[i]};
    // }
    vector<bool> vis(n);
    map<pair<int, int>, int> mp;
    for(int i = 0; i < n; ++i) {
        mp[{x[i], y[i]}] = i;
    }
    const int dx[] = {0, +2, 0, -2},
              dy[] = {+2, 0, -2, 0};
    vector<Road> roads;
    auto road_dfs = [&](auto&& dfs, int i, int j) -> void
    {
        const int idx = mp[{i, j}];
        if(vis[idx])  {
            return;
        }
        vis[idx] = true;
        for(int d = 0; d < 4; ++d) {
            const int ii = i + dx[d], jj = j + dy[d];
            auto it = mp.find({ii, jj});
            if(it != mp.end() and !vis[it->second]) {
                roads.push_back(Road({i,j}, {ii,jj}, idx, it->second, roads.size()));
                dfs(dfs, ii, jj);
            }
        }
    };
    road_dfs(road_dfs, x[0], y[0]);
    assert((int)roads.size() < n);
    if((int)roads.size() != n - 1) {
        return 0;
    }
    sort(roads.begin(), roads.end());
    map<pair<int, int>, int> taken;
    bool ok = true;
    for(int i = 0; i < (int)roads.size(); ++i) {
        const Road& r = roads[i];
        array<int, 2> co{(r.u.first + r.v.first)/2, (r.u.second + r.v.second) / 2};
        co[r.o] -= 1;
        if(!taken.count({co[0], co[1]})) {
            taken[{co[0], co[1]}] = true;
            roads[i].bench = {co[0], co[1]};
            continue;
        }
        co[r.o] += 2;
        if(!taken.count({co[0], co[1]})) {
            taken[{co[0], co[1]}] = true;
            roads[i].bench = {co[0], co[1]};
        }
        else {
            ok = false;
            break;
        }
        // else return 0;    // for(const auto& x : roads) {
    //     cout << x.u << " -> " << x.v << endl;
    // }
    }
    if(!ok) {
        roads.assign(n, Road());
        taken.clear();
        auto road_dfs2 = [&](auto&& dfs, int i, int j) -> void
        {
            const int idx = mp[{i, j}];
            if(vis[idx])  {
                return;
            }
            vis[idx] = true;
            for(int d = 0; d < 4; ++d) {
                const int ii = i + dy[d], jj = j + dx[d];
                auto it = mp.find({ii, jj});
                if(it != mp.end() and !vis[it->second]) {
                    roads.push_back(Road({i,j}, {ii,jj}, idx, it->second, roads.size()));
                    dfs(dfs, ii, jj);
                }
            }
        };
        road_dfs2(road_dfs2, x[0], y[0]);
        sort(roads.begin(), roads.end());
        for(int i = 0; i < (int)roads.size(); ++i) {
            const Road& r = roads[i];
            array<int, 2> co{(r.u.first + r.v.first)/2, (r.u.second + r.v.second) / 2};
            co[r.o] -= 1;
            if(!taken.count({co[0], co[1]})) {
                taken[{co[0], co[1]}] = true;
                roads[i].bench = {co[0], co[1]};
                continue;
            }
            co[r.o] += 2;
            if(!taken.count({co[0], co[1]})) {
                taken[{co[0], co[1]}] = true;
                roads[i].bench = {co[0], co[1]};
            }
            else {
                assert(false);
            }
        }
    }
    const int m = roads.size();
    vector<int> ansu(m), ansv(m), ansa(m), ansb(m);
    for(int i = 0; i < m; ++i) {
        ansu[roads[i].idx] = roads[i].u_idx;
        ansv[roads[i].idx] = roads[i].v_idx;
        ansa[roads[i].idx] = roads[i].bench.first;
        ansb[roads[i].idx] = roads[i].bench.second;
    }
    build(ansu, ansv, ansa, ansb);
    return 1;
}




template<typename T, size_t N>
std::ostream& operator<<(std::ostream& os, const std::array<T, N>& a) {
  os << "[";
  for(size_t i = 0; i + 1 < N; ++i) {
    os << a[i] << ", ";
  }
  if(N > 0)
    os << a[N - 1];
  os << "]";
  return os;
}
 
template<typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& p) {
  os << "(" << p.first << ", " << p.second << ") ";
  return os;
}
 
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
  os << '[';
  for(auto x : v)
    os << x << ", ";
  os << "] ";
  return os;
}
 
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::set<T>& s) {
  os << "{";
  for(auto x : s)
    os << x << ", ";
  os << "} ";
  return os;
}
//
template<typename T, typename cmp>
std::ostream& operator<<(std::ostream& os, const std::set<T, cmp>& s) {
  os << "{";
  for(auto x : s)
    os << x << ", ";
  os << "} ";
  return os;
}

/*
5
4 4
4 6
6 4
4 2
2 4

6
4 4
4 6
6 4
4 2
2 4
2 6

2
2 2
4 6
*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 283 ms 77728 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 88 ms 31688 KB Output is correct
29 Correct 138 ms 46264 KB Output is correct
30 Correct 203 ms 61876 KB Output is correct
31 Correct 254 ms 77744 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 102 ms 32828 KB Output is correct
46 Correct 159 ms 49112 KB Output is correct
47 Correct 165 ms 49124 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 283 ms 77728 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 88 ms 31688 KB Output is correct
29 Correct 138 ms 46264 KB Output is correct
30 Correct 203 ms 61876 KB Output is correct
31 Correct 254 ms 77744 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 102 ms 32828 KB Output is correct
46 Correct 159 ms 49112 KB Output is correct
47 Correct 165 ms 49124 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 412 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 264 ms 74640 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 5 ms 2500 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 112 ms 39168 KB Output is correct
61 Correct 177 ms 52256 KB Output is correct
62 Correct 207 ms 61800 KB Output is correct
63 Correct 268 ms 74928 KB Output is correct
64 Correct 0 ms 344 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 243 ms 69100 KB Output is correct
68 Correct 253 ms 69816 KB Output is correct
69 Correct 248 ms 72368 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 101 ms 28240 KB Output is correct
73 Correct 162 ms 46744 KB Output is correct
74 Correct 242 ms 56752 KB Output is correct
75 Correct 299 ms 71216 KB Output is correct
76 Correct 240 ms 78260 KB Output is correct
77 Correct 3 ms 1112 KB Output is correct
78 Correct 3 ms 1644 KB Output is correct
79 Correct 103 ms 29264 KB Output is correct
80 Correct 165 ms 46608 KB Output is correct
81 Correct 233 ms 60848 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 263 ms 77364 KB Output is correct
21 Correct 302 ms 71344 KB Output is correct
22 Correct 274 ms 66924 KB Output is correct
23 Correct 223 ms 56100 KB Output is correct
24 Correct 85 ms 15956 KB Output is correct
25 Correct 106 ms 15956 KB Output is correct
26 Correct 72 ms 16044 KB Output is correct
27 Correct 225 ms 46768 KB Output is correct
28 Correct 234 ms 47820 KB Output is correct
29 Correct 316 ms 46388 KB Output is correct
30 Correct 294 ms 47268 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Runtime error 18 ms 6044 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct
17 Correct 281 ms 77564 KB Output is correct
18 Correct 296 ms 64436 KB Output is correct
19 Runtime error 285 ms 138672 KB Execution killed with signal 6
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 119 ms 37824 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 52 ms 21100 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9784 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 125 ms 31124 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 283 ms 77728 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 88 ms 31688 KB Output is correct
29 Correct 138 ms 46264 KB Output is correct
30 Correct 203 ms 61876 KB Output is correct
31 Correct 254 ms 77744 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 102 ms 32828 KB Output is correct
46 Correct 159 ms 49112 KB Output is correct
47 Correct 165 ms 49124 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 412 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 264 ms 74640 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 5 ms 2500 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 112 ms 39168 KB Output is correct
61 Correct 177 ms 52256 KB Output is correct
62 Correct 207 ms 61800 KB Output is correct
63 Correct 268 ms 74928 KB Output is correct
64 Correct 0 ms 344 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 243 ms 69100 KB Output is correct
68 Correct 253 ms 69816 KB Output is correct
69 Correct 248 ms 72368 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 101 ms 28240 KB Output is correct
73 Correct 162 ms 46744 KB Output is correct
74 Correct 242 ms 56752 KB Output is correct
75 Correct 299 ms 71216 KB Output is correct
76 Correct 240 ms 78260 KB Output is correct
77 Correct 3 ms 1112 KB Output is correct
78 Correct 3 ms 1644 KB Output is correct
79 Correct 103 ms 29264 KB Output is correct
80 Correct 165 ms 46608 KB Output is correct
81 Correct 233 ms 60848 KB Output is correct
82 Correct 1 ms 344 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 263 ms 77364 KB Output is correct
86 Correct 302 ms 71344 KB Output is correct
87 Correct 274 ms 66924 KB Output is correct
88 Correct 223 ms 56100 KB Output is correct
89 Correct 85 ms 15956 KB Output is correct
90 Correct 106 ms 15956 KB Output is correct
91 Correct 72 ms 16044 KB Output is correct
92 Correct 225 ms 46768 KB Output is correct
93 Correct 234 ms 47820 KB Output is correct
94 Correct 316 ms 46388 KB Output is correct
95 Correct 294 ms 47268 KB Output is correct
96 Correct 1 ms 348 KB Output is correct
97 Runtime error 18 ms 6044 KB Execution killed with signal 6
98 Halted 0 ms 0 KB -