oj.uz

Submission #1053298

# Submission time Handle Problem Language Result Execution time Memory
1053298 2024-08-11T10:21:12 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
 345 ms 78808 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());
        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 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 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 279 ms 78004 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 860 KB Output is correct
28 Correct 101 ms 31200 KB Output is correct
29 Correct 167 ms 46520 KB Output is correct
30 Correct 235 ms 62988 KB Output is correct
31 Correct 281 ms 78808 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 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 106 ms 32688 KB Output is correct
46 Correct 167 ms 49076 KB Output is correct
47 Correct 166 ms 48568 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 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 279 ms 78004 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 860 KB Output is correct
28 Correct 101 ms 31200 KB Output is correct
29 Correct 167 ms 46520 KB Output is correct
30 Correct 235 ms 62988 KB Output is correct
31 Correct 281 ms 78808 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 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 106 ms 32688 KB Output is correct
46 Correct 167 ms 49076 KB Output is correct
47 Correct 166 ms 48568 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 298 ms 75940 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 2 ms 932 KB Output is correct
58 Correct 6 ms 2480 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 114 ms 38276 KB Output is correct
61 Correct 198 ms 51700 KB Output is correct
62 Correct 214 ms 62644 KB Output is correct
63 Correct 289 ms 73948 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 253 ms 69916 KB Output is correct
68 Correct 251 ms 69300 KB Output is correct
69 Correct 263 ms 72372 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 112 ms 28148 KB Output is correct
73 Correct 174 ms 47032 KB Output is correct
74 Correct 251 ms 57084 KB Output is correct
75 Correct 276 ms 72112 KB Output is correct
76 Correct 282 ms 77364 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 4 ms 1680 KB Output is correct
79 Correct 108 ms 29516 KB Output is correct
80 Correct 195 ms 45496 KB Output is correct
81 Correct 274 ms 60300 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 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 273 ms 76928 KB Output is correct
21 Correct 297 ms 70580 KB Output is correct
22 Correct 287 ms 66992 KB Output is correct
23 Correct 224 ms 57156 KB Output is correct
24 Correct 94 ms 16084 KB Output is correct
25 Correct 93 ms 16080 KB Output is correct
26 Correct 92 ms 16208 KB Output is correct
27 Correct 266 ms 47028 KB Output is correct
28 Correct 240 ms 46388 KB Output is correct
29 Correct 345 ms 47280 KB Output is correct
30 Correct 308 ms 47736 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Incorrect 13 ms 3160 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 1 ms 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 KB Output is correct
17 Correct 263 ms 78472 KB Output is correct
18 Correct 279 ms 65456 KB Output is correct
19 Incorrect 275 ms 69048 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 1 ms 600 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 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 116 ms 37512 KB Output is correct
10 Correct 12 ms 4180 KB Output is correct
11 Correct 57 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 24 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 119 ms 31876 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 279 ms 78004 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 860 KB Output is correct
28 Correct 101 ms 31200 KB Output is correct
29 Correct 167 ms 46520 KB Output is correct
30 Correct 235 ms 62988 KB Output is correct
31 Correct 281 ms 78808 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 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 106 ms 32688 KB Output is correct
46 Correct 167 ms 49076 KB Output is correct
47 Correct 166 ms 48568 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 298 ms 75940 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 2 ms 932 KB Output is correct
58 Correct 6 ms 2480 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 114 ms 38276 KB Output is correct
61 Correct 198 ms 51700 KB Output is correct
62 Correct 214 ms 62644 KB Output is correct
63 Correct 289 ms 73948 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 253 ms 69916 KB Output is correct
68 Correct 251 ms 69300 KB Output is correct
69 Correct 263 ms 72372 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 112 ms 28148 KB Output is correct
73 Correct 174 ms 47032 KB Output is correct
74 Correct 251 ms 57084 KB Output is correct
75 Correct 276 ms 72112 KB Output is correct
76 Correct 282 ms 77364 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 4 ms 1680 KB Output is correct
79 Correct 108 ms 29516 KB Output is correct
80 Correct 195 ms 45496 KB Output is correct
81 Correct 274 ms 60300 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 273 ms 76928 KB Output is correct
86 Correct 297 ms 70580 KB Output is correct
87 Correct 287 ms 66992 KB Output is correct
88 Correct 224 ms 57156 KB Output is correct
89 Correct 94 ms 16084 KB Output is correct
90 Correct 93 ms 16080 KB Output is correct
91 Correct 92 ms 16208 KB Output is correct
92 Correct 266 ms 47028 KB Output is correct
93 Correct 240 ms 46388 KB Output is correct
94 Correct 345 ms 47280 KB Output is correct
95 Correct 308 ms 47736 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Incorrect 13 ms 3160 KB Solution announced impossible, but it is possible.
98 Halted 0 ms 0 KB -