Submission #1053316

# Submission time Handle Problem Language Result Execution time Memory
1053316 2024-08-11T10:26:30 Z MercubytheFirst Fountain Parks (IOI21_parks) C++17
30 / 100
319 ms 134836 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) {
        assert(false);
        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
*/
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 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 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 290 ms 74032 KB Output is correct
24 Correct 0 ms 348 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 30712 KB Output is correct
29 Correct 180 ms 44912 KB Output is correct
30 Correct 208 ms 59976 KB Output is correct
31 Correct 263 ms 75188 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 600 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 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 108 ms 31776 KB Output is correct
46 Correct 173 ms 48304 KB Output is correct
47 Correct 167 ms 46972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 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 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 290 ms 74032 KB Output is correct
24 Correct 0 ms 348 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 30712 KB Output is correct
29 Correct 180 ms 44912 KB Output is correct
30 Correct 208 ms 59976 KB Output is correct
31 Correct 263 ms 75188 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 600 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 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 108 ms 31776 KB Output is correct
46 Correct 173 ms 48304 KB Output is correct
47 Correct 167 ms 46972 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 344 KB Output is correct
55 Correct 261 ms 71992 KB Output is correct
56 Correct 0 ms 600 KB Output is correct
57 Correct 2 ms 856 KB Output is correct
58 Correct 5 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 130 ms 37188 KB Output is correct
61 Correct 174 ms 50508 KB Output is correct
62 Correct 219 ms 60968 KB Output is correct
63 Correct 273 ms 72112 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 247 ms 66524 KB Output is correct
68 Correct 245 ms 67760 KB Output is correct
69 Correct 275 ms 69300 KB Output is correct
70 Correct 2 ms 860 KB Output is correct
71 Correct 3 ms 1116 KB Output is correct
72 Correct 118 ms 27704 KB Output is correct
73 Correct 194 ms 46812 KB Output is correct
74 Correct 254 ms 56620 KB Output is correct
75 Correct 293 ms 69588 KB Output is correct
76 Correct 254 ms 74832 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 3 ms 1596 KB Output is correct
79 Correct 103 ms 28620 KB Output is correct
80 Correct 170 ms 43576 KB Output is correct
81 Correct 240 ms 58800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 KB Output is correct
17 Correct 1 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 289 ms 75104 KB Output is correct
21 Correct 271 ms 68096 KB Output is correct
22 Correct 282 ms 65972 KB Output is correct
23 Correct 206 ms 56020 KB Output is correct
24 Correct 84 ms 16092 KB Output is correct
25 Correct 79 ms 16008 KB Output is correct
26 Correct 85 ms 16212 KB Output is correct
27 Correct 220 ms 46644 KB Output is correct
28 Correct 228 ms 47644 KB Output is correct
29 Correct 319 ms 47540 KB Output is correct
30 Correct 301 ms 46772 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Runtime error 11 ms 5900 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 KB Output is correct
17 Correct 279 ms 74932 KB Output is correct
18 Correct 246 ms 62640 KB Output is correct
19 Runtime error 264 ms 134836 KB Execution killed with signal 6
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 112 ms 36704 KB Output is correct
10 Correct 8 ms 3924 KB Output is correct
11 Correct 60 ms 20068 KB Output is correct
12 Correct 12 ms 5716 KB Output is correct
13 Correct 23 ms 9420 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 116 ms 31204 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 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 290 ms 74032 KB Output is correct
24 Correct 0 ms 348 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 30712 KB Output is correct
29 Correct 180 ms 44912 KB Output is correct
30 Correct 208 ms 59976 KB Output is correct
31 Correct 263 ms 75188 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 600 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 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 108 ms 31776 KB Output is correct
46 Correct 173 ms 48304 KB Output is correct
47 Correct 167 ms 46972 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 344 KB Output is correct
55 Correct 261 ms 71992 KB Output is correct
56 Correct 0 ms 600 KB Output is correct
57 Correct 2 ms 856 KB Output is correct
58 Correct 5 ms 2480 KB Output is correct
59 Correct 3 ms 1628 KB Output is correct
60 Correct 130 ms 37188 KB Output is correct
61 Correct 174 ms 50508 KB Output is correct
62 Correct 219 ms 60968 KB Output is correct
63 Correct 273 ms 72112 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 247 ms 66524 KB Output is correct
68 Correct 245 ms 67760 KB Output is correct
69 Correct 275 ms 69300 KB Output is correct
70 Correct 2 ms 860 KB Output is correct
71 Correct 3 ms 1116 KB Output is correct
72 Correct 118 ms 27704 KB Output is correct
73 Correct 194 ms 46812 KB Output is correct
74 Correct 254 ms 56620 KB Output is correct
75 Correct 293 ms 69588 KB Output is correct
76 Correct 254 ms 74832 KB Output is correct
77 Correct 2 ms 1112 KB Output is correct
78 Correct 3 ms 1596 KB Output is correct
79 Correct 103 ms 28620 KB Output is correct
80 Correct 170 ms 43576 KB Output is correct
81 Correct 240 ms 58800 KB Output is correct
82 Correct 1 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 289 ms 75104 KB Output is correct
86 Correct 271 ms 68096 KB Output is correct
87 Correct 282 ms 65972 KB Output is correct
88 Correct 206 ms 56020 KB Output is correct
89 Correct 84 ms 16092 KB Output is correct
90 Correct 79 ms 16008 KB Output is correct
91 Correct 85 ms 16212 KB Output is correct
92 Correct 220 ms 46644 KB Output is correct
93 Correct 228 ms 47644 KB Output is correct
94 Correct 319 ms 47540 KB Output is correct
95 Correct 301 ms 46772 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Runtime error 11 ms 5900 KB Execution killed with signal 6
98 Halted 0 ms 0 KB -