oj.uz

Submission #1053308

# Submission time Handle Problem Language Result Execution time Memory
1053308 2024-08-11T10:24:56 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
 339 ms 78520 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 + 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_dfs2(road_dfs2, x[0], y[0]);
        sort(roads.begin(), roads.end(),[&](const Road& a, const Road& b) { return make_pair(a.v, a.u) < make_pair(b.v, b.u); });
        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] += 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 ^ 1] -= 2;
            if(!taken.count({co[0], co[1]})) {
                taken[{co[0], co[1]}] = true;
                roads[i].bench = {co[0], co[1]};
            }
            else {
                return 0;
            }
        }
    }
    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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 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 275 ms 77908 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 1024 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 89 ms 32660 KB Output is correct
29 Correct 170 ms 46424 KB Output is correct
30 Correct 228 ms 61868 KB Output is correct
31 Correct 304 ms 78520 KB Output is correct
32 Correct 0 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 344 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 105 ms 32696 KB Output is correct
46 Correct 160 ms 48820 KB Output is correct
47 Correct 165 ms 47540 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 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 275 ms 77908 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 1024 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 89 ms 32660 KB Output is correct
29 Correct 170 ms 46424 KB Output is correct
30 Correct 228 ms 61868 KB Output is correct
31 Correct 304 ms 78520 KB Output is correct
32 Correct 0 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 344 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 105 ms 32696 KB Output is correct
46 Correct 160 ms 48820 KB Output is correct
47 Correct 165 ms 47540 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 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 275 ms 75844 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 6 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 120 ms 38448 KB Output is correct
61 Correct 176 ms 53428 KB Output is correct
62 Correct 209 ms 63148 KB Output is correct
63 Correct 286 ms 75628 KB Output is correct
64 Correct 0 ms 348 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 68336 KB Output is correct
68 Correct 241 ms 70320 KB Output is correct
69 Correct 269 ms 72136 KB Output is correct
70 Correct 2 ms 860 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 102 ms 28212 KB Output is correct
73 Correct 169 ms 46736 KB Output is correct
74 Correct 236 ms 57004 KB Output is correct
75 Correct 270 ms 72500 KB Output is correct
76 Correct 253 ms 77744 KB Output is correct
77 Correct 2 ms 1116 KB Output is correct
78 Correct 3 ms 1628 KB Output is correct
79 Correct 107 ms 29456 KB Output is correct
80 Correct 175 ms 45548 KB Output is correct
81 Correct 243 ms 61140 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 256 ms 77392 KB Output is correct
21 Correct 265 ms 70572 KB Output is correct
22 Correct 281 ms 68788 KB Output is correct
23 Correct 227 ms 57272 KB Output is correct
24 Correct 83 ms 15952 KB Output is correct
25 Correct 83 ms 16216 KB Output is correct
26 Correct 79 ms 16128 KB Output is correct
27 Correct 232 ms 46768 KB Output is correct
28 Correct 238 ms 45996 KB Output is correct
29 Correct 339 ms 47216 KB Output is correct
30 Correct 315 ms 46768 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Incorrect 10 ms 3412 KB Solution announced impossible, but it is possible.
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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 KB Output is correct
17 Correct 267 ms 77136 KB Output is correct
18 Correct 331 ms 65864 KB Output is correct
19 Incorrect 302 ms 68020 KB Solution announced impossible, but it is possible.
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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 109 ms 38008 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 62 ms 20956 KB Output is correct
12 Correct 13 ms 5968 KB Output is correct
13 Correct 24 ms 9752 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 117 ms 31932 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 275 ms 77908 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 1024 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 89 ms 32660 KB Output is correct
29 Correct 170 ms 46424 KB Output is correct
30 Correct 228 ms 61868 KB Output is correct
31 Correct 304 ms 78520 KB Output is correct
32 Correct 0 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 344 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 105 ms 32696 KB Output is correct
46 Correct 160 ms 48820 KB Output is correct
47 Correct 165 ms 47540 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 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 275 ms 75844 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 6 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 120 ms 38448 KB Output is correct
61 Correct 176 ms 53428 KB Output is correct
62 Correct 209 ms 63148 KB Output is correct
63 Correct 286 ms 75628 KB Output is correct
64 Correct 0 ms 348 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 68336 KB Output is correct
68 Correct 241 ms 70320 KB Output is correct
69 Correct 269 ms 72136 KB Output is correct
70 Correct 2 ms 860 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 102 ms 28212 KB Output is correct
73 Correct 169 ms 46736 KB Output is correct
74 Correct 236 ms 57004 KB Output is correct
75 Correct 270 ms 72500 KB Output is correct
76 Correct 253 ms 77744 KB Output is correct
77 Correct 2 ms 1116 KB Output is correct
78 Correct 3 ms 1628 KB Output is correct
79 Correct 107 ms 29456 KB Output is correct
80 Correct 175 ms 45548 KB Output is correct
81 Correct 243 ms 61140 KB Output is correct
82 Correct 0 ms 344 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 256 ms 77392 KB Output is correct
86 Correct 265 ms 70572 KB Output is correct
87 Correct 281 ms 68788 KB Output is correct
88 Correct 227 ms 57272 KB Output is correct
89 Correct 83 ms 15952 KB Output is correct
90 Correct 83 ms 16216 KB Output is correct
91 Correct 79 ms 16128 KB Output is correct
92 Correct 232 ms 46768 KB Output is correct
93 Correct 238 ms 45996 KB Output is correct
94 Correct 339 ms 47216 KB Output is correct
95 Correct 315 ms 46768 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Incorrect 10 ms 3412 KB Solution announced impossible, but it is possible.
98 Halted 0 ms 0 KB -