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답안 #1053324

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1053324 2024-08-11T10:29:13 Z MercubytheFirst 분수 공원 (IOI21_parks) C++17
30 / 100
 355 ms 78180 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];
            assert(r.idx != -1 and r.u != make_pair(-1, -1) and r.v != make_pair(-1, -1));
            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

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 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 256 ms 78180 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 884 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 85 ms 32556 KB Output is correct
29 Correct 174 ms 46560 KB Output is correct
30 Correct 218 ms 61872 KB Output is correct
31 Correct 258 ms 77228 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 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 105 ms 32804 KB Output is correct
46 Correct 178 ms 49896 KB Output is correct
47 Correct 174 ms 47396 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 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 256 ms 78180 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 884 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 85 ms 32556 KB Output is correct
29 Correct 174 ms 46560 KB Output is correct
30 Correct 218 ms 61872 KB Output is correct
31 Correct 258 ms 77228 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 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 105 ms 32804 KB Output is correct
46 Correct 178 ms 49896 KB Output is correct
47 Correct 174 ms 47396 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 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 296 ms 75828 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1112 KB Output is correct
58 Correct 5 ms 2668 KB Output is correct
59 Correct 6 ms 1624 KB Output is correct
60 Correct 144 ms 38260 KB Output is correct
61 Correct 197 ms 52412 KB Output is correct
62 Correct 220 ms 61612 KB Output is correct
63 Correct 289 ms 74420 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 245 ms 69692 KB Output is correct
68 Correct 268 ms 69036 KB Output is correct
69 Correct 250 ms 71596 KB Output is correct
70 Correct 3 ms 860 KB Output is correct
71 Correct 3 ms 1380 KB Output is correct
72 Correct 104 ms 28200 KB Output is correct
73 Correct 169 ms 46764 KB Output is correct
74 Correct 254 ms 58540 KB Output is correct
75 Correct 280 ms 71600 KB Output is correct
76 Correct 253 ms 77740 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 3 ms 1628 KB Output is correct
79 Correct 103 ms 29368 KB Output is correct
80 Correct 166 ms 45200 KB Output is correct
81 Correct 234 ms 60340 KB Output is correct

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 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 262 ms 76532 KB Output is correct
21 Correct 274 ms 71344 KB Output is correct
22 Correct 282 ms 68016 KB Output is correct
23 Correct 204 ms 57388 KB Output is correct
24 Correct 81 ms 15956 KB Output is correct
25 Correct 81 ms 15952 KB Output is correct
26 Correct 84 ms 16208 KB Output is correct
27 Correct 223 ms 46064 KB Output is correct
28 Correct 240 ms 47028 KB Output is correct
29 Correct 355 ms 47792 KB Output is correct
30 Correct 299 ms 48044 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Incorrect 12 ms 3116 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

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 KB Output is correct
17 Correct 271 ms 77368 KB Output is correct
18 Correct 257 ms 64688 KB Output is correct
19 Incorrect 257 ms 68088 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

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 120 ms 37720 KB Output is correct
10 Correct 8 ms 4176 KB Output is correct
11 Correct 64 ms 20964 KB Output is correct
12 Correct 14 ms 5968 KB Output is correct
13 Correct 23 ms 9944 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 129 ms 32140 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 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 256 ms 78180 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 884 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 85 ms 32556 KB Output is correct
29 Correct 174 ms 46560 KB Output is correct
30 Correct 218 ms 61872 KB Output is correct
31 Correct 258 ms 77228 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 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 105 ms 32804 KB Output is correct
46 Correct 178 ms 49896 KB Output is correct
47 Correct 174 ms 47396 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 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 296 ms 75828 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 2 ms 1112 KB Output is correct
58 Correct 5 ms 2668 KB Output is correct
59 Correct 6 ms 1624 KB Output is correct
60 Correct 144 ms 38260 KB Output is correct
61 Correct 197 ms 52412 KB Output is correct
62 Correct 220 ms 61612 KB Output is correct
63 Correct 289 ms 74420 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 245 ms 69692 KB Output is correct
68 Correct 268 ms 69036 KB Output is correct
69 Correct 250 ms 71596 KB Output is correct
70 Correct 3 ms 860 KB Output is correct
71 Correct 3 ms 1380 KB Output is correct
72 Correct 104 ms 28200 KB Output is correct
73 Correct 169 ms 46764 KB Output is correct
74 Correct 254 ms 58540 KB Output is correct
75 Correct 280 ms 71600 KB Output is correct
76 Correct 253 ms 77740 KB Output is correct
77 Correct 3 ms 1116 KB Output is correct
78 Correct 3 ms 1628 KB Output is correct
79 Correct 103 ms 29368 KB Output is correct
80 Correct 166 ms 45200 KB Output is correct
81 Correct 234 ms 60340 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 262 ms 76532 KB Output is correct
86 Correct 274 ms 71344 KB Output is correct
87 Correct 282 ms 68016 KB Output is correct
88 Correct 204 ms 57388 KB Output is correct
89 Correct 81 ms 15956 KB Output is correct
90 Correct 81 ms 15952 KB Output is correct
91 Correct 84 ms 16208 KB Output is correct
92 Correct 223 ms 46064 KB Output is correct
93 Correct 240 ms 47028 KB Output is correct
94 Correct 355 ms 47792 KB Output is correct
95 Correct 299 ms 48044 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Incorrect 12 ms 3116 KB Given structure is not connected: There is no path between vertices 0 and 1
98 Halted 0 ms 0 KB -