oj.uz

Submission #1053319

# Submission time Handle Problem Language Result Execution time Memory
1053319 2024-08-11T10:27:38 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
 319 ms 79020 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;
        }
    }
    if(!ok) {
        roads.clear();
        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;
            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 {
                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 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 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 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 266 ms 77152 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 860 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 88 ms 32456 KB Output is correct
29 Correct 146 ms 46412 KB Output is correct
30 Correct 212 ms 61876 KB Output is correct
31 Correct 259 ms 78256 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 664 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 118 ms 32684 KB Output is correct
46 Correct 167 ms 48304 KB Output is correct
47 Correct 161 ms 48824 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 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 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 266 ms 77152 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 860 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 88 ms 32456 KB Output is correct
29 Correct 146 ms 46412 KB Output is correct
30 Correct 212 ms 61876 KB Output is correct
31 Correct 259 ms 78256 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 664 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 118 ms 32684 KB Output is correct
46 Correct 167 ms 48304 KB Output is correct
47 Correct 161 ms 48824 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 344 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 262 ms 75216 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 5 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 121 ms 38752 KB Output is correct
61 Correct 167 ms 51376 KB Output is correct
62 Correct 211 ms 62136 KB Output is correct
63 Correct 285 ms 74860 KB Output is correct
64 Correct 0 ms 344 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 251 ms 68324 KB Output is correct
68 Correct 259 ms 69556 KB Output is correct
69 Correct 275 ms 72840 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1368 KB Output is correct
72 Correct 108 ms 28348 KB Output is correct
73 Correct 170 ms 46472 KB Output is correct
74 Correct 243 ms 57920 KB Output is correct
75 Correct 265 ms 72632 KB Output is correct
76 Correct 284 ms 79020 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 4 ms 1628 KB Output is correct
79 Correct 102 ms 29876 KB Output is correct
80 Correct 169 ms 45240 KB Output is correct
81 Correct 237 ms 61104 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 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 265 ms 76380 KB Output is correct
21 Correct 281 ms 71348 KB Output is correct
22 Correct 286 ms 67248 KB Output is correct
23 Correct 206 ms 56504 KB Output is correct
24 Correct 83 ms 15956 KB Output is correct
25 Correct 79 ms 15952 KB Output is correct
26 Correct 85 ms 16080 KB Output is correct
27 Correct 248 ms 47744 KB Output is correct
28 Correct 232 ms 46848 KB Output is correct
29 Correct 319 ms 47912 KB Output is correct
30 Correct 318 ms 46980 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Incorrect 10 ms 3156 KB Given structure is not connected: There is no path between vertices 0 and 1
33 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 KB Output is correct
17 Correct 265 ms 78544 KB Output is correct
18 Correct 253 ms 66224 KB Output is correct
19 Incorrect 255 ms 68004 KB Given structure is not connected: There is no path between vertices 0 and 1
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 360 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 115 ms 37912 KB Output is correct
10 Correct 9 ms 4176 KB Output is correct
11 Correct 52 ms 21000 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 22 ms 9936 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 105 ms 31128 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 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 266 ms 77152 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 860 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 88 ms 32456 KB Output is correct
29 Correct 146 ms 46412 KB Output is correct
30 Correct 212 ms 61876 KB Output is correct
31 Correct 259 ms 78256 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 664 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 118 ms 32684 KB Output is correct
46 Correct 167 ms 48304 KB Output is correct
47 Correct 161 ms 48824 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 344 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 262 ms 75216 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 5 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 121 ms 38752 KB Output is correct
61 Correct 167 ms 51376 KB Output is correct
62 Correct 211 ms 62136 KB Output is correct
63 Correct 285 ms 74860 KB Output is correct
64 Correct 0 ms 344 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 251 ms 68324 KB Output is correct
68 Correct 259 ms 69556 KB Output is correct
69 Correct 275 ms 72840 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1368 KB Output is correct
72 Correct 108 ms 28348 KB Output is correct
73 Correct 170 ms 46472 KB Output is correct
74 Correct 243 ms 57920 KB Output is correct
75 Correct 265 ms 72632 KB Output is correct
76 Correct 284 ms 79020 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 4 ms 1628 KB Output is correct
79 Correct 102 ms 29876 KB Output is correct
80 Correct 169 ms 45240 KB Output is correct
81 Correct 237 ms 61104 KB Output is correct
82 Correct 0 ms 348 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 265 ms 76380 KB Output is correct
86 Correct 281 ms 71348 KB Output is correct
87 Correct 286 ms 67248 KB Output is correct
88 Correct 206 ms 56504 KB Output is correct
89 Correct 83 ms 15956 KB Output is correct
90 Correct 79 ms 15952 KB Output is correct
91 Correct 85 ms 16080 KB Output is correct
92 Correct 248 ms 47744 KB Output is correct
93 Correct 232 ms 46848 KB Output is correct
94 Correct 319 ms 47912 KB Output is correct
95 Correct 318 ms 46980 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Incorrect 10 ms 3156 KB Given structure is not connected: There is no path between vertices 0 and 1
98 Halted 0 ms 0 KB -