oj.uz

Submission #1053311

# Submission time Handle Problem Language Result Execution time Memory
1053311 2024-08-11T10:25:21 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
 333 ms 78816 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 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 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 287 ms 78816 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 93 ms 31892 KB Output is correct
29 Correct 166 ms 46264 KB Output is correct
30 Correct 227 ms 62644 KB Output is correct
31 Correct 294 ms 78392 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 1 ms 344 KB Output is correct
43 Correct 1 ms 600 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 114 ms 33140 KB Output is correct
46 Correct 206 ms 49584 KB Output is correct
47 Correct 176 ms 48956 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 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 287 ms 78816 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 93 ms 31892 KB Output is correct
29 Correct 166 ms 46264 KB Output is correct
30 Correct 227 ms 62644 KB Output is correct
31 Correct 294 ms 78392 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 1 ms 344 KB Output is correct
43 Correct 1 ms 600 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 114 ms 33140 KB Output is correct
46 Correct 206 ms 49584 KB Output is correct
47 Correct 176 ms 48956 KB Output is correct
48 Correct 1 ms 344 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 305 ms 75624 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 8 ms 2580 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 120 ms 38532 KB Output is correct
61 Correct 177 ms 52660 KB Output is correct
62 Correct 244 ms 61492 KB Output is correct
63 Correct 318 ms 73904 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 257 ms 69616 KB Output is correct
68 Correct 263 ms 70572 KB Output is correct
69 Correct 273 ms 71728 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 126 ms 28364 KB Output is correct
73 Correct 183 ms 47544 KB Output is correct
74 Correct 260 ms 57264 KB Output is correct
75 Correct 303 ms 71312 KB Output is correct
76 Correct 268 ms 78004 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 4 ms 1628 KB Output is correct
79 Correct 129 ms 29292 KB Output is correct
80 Correct 181 ms 46500 KB Output is correct
81 Correct 269 ms 60976 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct
17 Correct 1 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 310 ms 76324 KB Output is correct
21 Correct 289 ms 72116 KB Output is correct
22 Correct 321 ms 68020 KB Output is correct
23 Correct 212 ms 56592 KB Output is correct
24 Correct 110 ms 16084 KB Output is correct
25 Correct 87 ms 16044 KB Output is correct
26 Correct 104 ms 16208 KB Output is correct
27 Correct 257 ms 47540 KB Output is correct
28 Correct 228 ms 47024 KB Output is correct
29 Correct 333 ms 47136 KB Output is correct
30 Correct 332 ms 46424 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Incorrect 10 ms 3104 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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct
17 Correct 299 ms 78136 KB Output is correct
18 Correct 274 ms 66228 KB Output is correct
19 Incorrect 285 ms 69552 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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 137 ms 38528 KB Output is correct
10 Correct 9 ms 4180 KB Output is correct
11 Correct 58 ms 20960 KB Output is correct
12 Correct 13 ms 5972 KB Output is correct
13 Correct 23 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 120 ms 31560 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 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 287 ms 78816 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 93 ms 31892 KB Output is correct
29 Correct 166 ms 46264 KB Output is correct
30 Correct 227 ms 62644 KB Output is correct
31 Correct 294 ms 78392 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 1 ms 344 KB Output is correct
43 Correct 1 ms 600 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 114 ms 33140 KB Output is correct
46 Correct 206 ms 49584 KB Output is correct
47 Correct 176 ms 48956 KB Output is correct
48 Correct 1 ms 344 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 305 ms 75624 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1116 KB Output is correct
58 Correct 8 ms 2580 KB Output is correct
59 Correct 4 ms 1628 KB Output is correct
60 Correct 120 ms 38532 KB Output is correct
61 Correct 177 ms 52660 KB Output is correct
62 Correct 244 ms 61492 KB Output is correct
63 Correct 318 ms 73904 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 257 ms 69616 KB Output is correct
68 Correct 263 ms 70572 KB Output is correct
69 Correct 273 ms 71728 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 3 ms 1372 KB Output is correct
72 Correct 126 ms 28364 KB Output is correct
73 Correct 183 ms 47544 KB Output is correct
74 Correct 260 ms 57264 KB Output is correct
75 Correct 303 ms 71312 KB Output is correct
76 Correct 268 ms 78004 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 4 ms 1628 KB Output is correct
79 Correct 129 ms 29292 KB Output is correct
80 Correct 181 ms 46500 KB Output is correct
81 Correct 269 ms 60976 KB Output is correct
82 Correct 1 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 310 ms 76324 KB Output is correct
86 Correct 289 ms 72116 KB Output is correct
87 Correct 321 ms 68020 KB Output is correct
88 Correct 212 ms 56592 KB Output is correct
89 Correct 110 ms 16084 KB Output is correct
90 Correct 87 ms 16044 KB Output is correct
91 Correct 104 ms 16208 KB Output is correct
92 Correct 257 ms 47540 KB Output is correct
93 Correct 228 ms 47024 KB Output is correct
94 Correct 333 ms 47136 KB Output is correct
95 Correct 332 ms 46424 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Incorrect 10 ms 3104 KB Solution announced impossible, but it is possible.
98 Halted 0 ms 0 KB -