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Submission #1023278

# Submission time Handle Problem Language Result Execution time Memory
1023278 2024-07-14T14:46:57 Z NeroZein Fountain Parks (IOI21_parks) C++17
55 / 100
 2245 ms 210508 KB 
#include "parks.h"
#include <bits/stdc++.h>
using namespace std; 

const int N = 2e5 + 5;

int p[N];
int sz[N];
set<int> se[N];
set<int> to_cross[N];
set<pair<int, int>> from_cross[N];

int get(int v) {
  return p[v] = (p[v] == v ? v : get(p[v]));
}

void unite(int u, int v) {
  u = get(u);
  v = get(v);
  if (sz[u] > sz[v]) swap(u, v);
  p[u] = v;
  sz[v] += sz[u];
}

int construct_roads(vector<int> vx, vector<int> vy) {
  int n = (int) vx.size();
  map<pair<int, int>, int> mp;
  for (int i = 0; i < n; ++i) {
    p[i] = i;
    sz[i] = 1;
    mp[{vx[i], vy[i]}] = i;
  }
  for (int i = 0; i < n; ++i) {
    int x = vx[i], y = vy[i];
    for (int dx : {-2, 0, 2}) {
      for (int dy : {-2, 0, 2}) {
        if (dx != 0 && dy != 0) continue; 
        if (mp.count({x + dx, y + dy})) {
          int id = mp[{x + dx, y + dy}];
          if (get(id) != get(i)) {
            unite(i, id);
            se[i].insert(id);
            se[id].insert(i);
          }
        } 
      }
    }
  }
  if (sz[get(1)] != n) {
    return 0; 
  }
  set<pair<int, int>> used;
  vector<int> u, v, a, b;
  for (int i = 0; i < n; ++i) {
    bool ok = true; 
    int x = vx[i], y = vy[i];
    for (int dx : {-2, 0, 2}) {
      for (int dy : {-2, 0, 2}) {
        if (dx != 0 && dy != 0) continue; 
        ok &= mp.count({x + dx, y + dy});
      }
    }
    if (ok) {
      for (int dx : {-2, 2}) {
        int id = mp[{x + dx, y}];
        u.push_back(i);
        v.push_back(id);
        int cx = x + dx / 2, cy = y + (dx < 0 ? -1 : 1);
        a.push_back(cx);
        b.push_back(cy);
        used.insert({cx, cy});
        se[id].erase(i);
        se[i].erase(id);
      }
      for (int dy : {-2, 2}) {
        int id = mp[{x, y + dy}];
        u.push_back(i);
        v.push_back(id); 
        int cx = x + (dy < 0 ? 1 : -1), cy = y + dy / 2;
        a.push_back(cx);
        b.push_back(cy);
        used.insert({cx, cy});
        se[id].erase(i);
        se[i].erase(id);
      }
    }
  }
  int cnt = 0; 
  vector<int> type;
  vector<set<int>> g;
  map<pair<int, int>, int> crosses;
  map<int, pair<int, int>> lines, bck;
  for (int i = 0; i < n; ++i) {
    int x = vx[i], y = vy[i];
    for (int id : se[i]) {
      if (id < i) continue;
      int xx = vx[id], yy = vy[id];
      int line_id = cnt;
      type.push_back(0);//type[cnt]
      g.push_back({});
      lines[cnt++] = {i, id};
      for (int d : {-1, 1}) {
        int cx, cy;
        if (x == xx) {
          cx = x + d, cy = (y + yy) / 2; 
        } else {
          cx = (x + xx) / 2, cy = y + d;
        }
        if (used.count({cx, cy})) {
          continue; 
        }
        if (!crosses.count({cx, cy})) {
          g.push_back({});
          type.push_back(1);
          bck[cnt] = {cx, cy};
          crosses[{cx, cy}] = cnt++;
        }
        int cross_id = crosses[{cx, cy}];
        g[cross_id].insert(line_id);
        g[line_id].insert(cross_id);
      }
    }
  }
  queue<int> que;
  vector<int> indeg(cnt);
  for (int i = 0; i < cnt; ++i) {
    indeg[i] = g[i].size();
    if (g[i].size() == 1) {
      assert(type[i] == 1);
      que.push(i);
    }
  }
  set<int> mentioned;
  while (!que.empty()) {
    int cur = que.front();
    que.pop();
    if (indeg[cur] == 0) {
      continue; 
    }
    if (type[cur] == 0) {
      for (int w : g[cur]) {
        g[w].erase(cur);
        --indeg[w];
        if (indeg[w] == 1) {
          que.push(w);
        }
      }
    } else {
      int line_id = *g[cur].begin();
      if (!mentioned.count(line_id)) {
        mentioned.insert(line_id); 
        u.push_back(lines[line_id].first);
        v.push_back(lines[line_id].second);
        a.push_back(bck[cur].first);
        b.push_back(bck[cur].second);        
      }
      for (int w : g[cur]) {
        g[w].erase(cur);
        --indeg[w];
        if (indeg[w] == 1) {
          que.push(w); 
        }
      }
    }
  }
  build(u, v, a, b);
  return 1;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct
17 Correct 9 ms 29276 KB Output is correct
18 Correct 8 ms 29276 KB Output is correct
19 Correct 10 ms 29276 KB Output is correct
20 Correct 9 ms 29276 KB Output is correct
21 Correct 9 ms 29328 KB Output is correct
22 Correct 9 ms 29276 KB Output is correct
23 Correct 1492 ms 179308 KB Output is correct
24 Correct 8 ms 29272 KB Output is correct
25 Correct 11 ms 30148 KB Output is correct
26 Correct 12 ms 29788 KB Output is correct
27 Correct 13 ms 29788 KB Output is correct
28 Correct 472 ms 89064 KB Output is correct
29 Correct 809 ms 124920 KB Output is correct
30 Correct 1152 ms 150988 KB Output is correct
31 Correct 1516 ms 179312 KB Output is correct
32 Correct 8 ms 29272 KB Output is correct
33 Correct 8 ms 29256 KB Output is correct
34 Correct 8 ms 29276 KB Output is correct
35 Correct 8 ms 29276 KB Output is correct
36 Correct 8 ms 29276 KB Output is correct
37 Correct 10 ms 29256 KB Output is correct
38 Correct 9 ms 29276 KB Output is correct
39 Correct 9 ms 29144 KB Output is correct
40 Correct 8 ms 29276 KB Output is correct
41 Correct 9 ms 29272 KB Output is correct
42 Correct 8 ms 29276 KB Output is correct
43 Correct 11 ms 29532 KB Output is correct
44 Correct 11 ms 29788 KB Output is correct
45 Correct 633 ms 107436 KB Output is correct
46 Correct 1046 ms 144860 KB Output is correct
47 Correct 1071 ms 144836 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct
17 Correct 9 ms 29276 KB Output is correct
18 Correct 8 ms 29276 KB Output is correct
19 Correct 10 ms 29276 KB Output is correct
20 Correct 9 ms 29276 KB Output is correct
21 Correct 9 ms 29328 KB Output is correct
22 Correct 9 ms 29276 KB Output is correct
23 Correct 1492 ms 179308 KB Output is correct
24 Correct 8 ms 29272 KB Output is correct
25 Correct 11 ms 30148 KB Output is correct
26 Correct 12 ms 29788 KB Output is correct
27 Correct 13 ms 29788 KB Output is correct
28 Correct 472 ms 89064 KB Output is correct
29 Correct 809 ms 124920 KB Output is correct
30 Correct 1152 ms 150988 KB Output is correct
31 Correct 1516 ms 179312 KB Output is correct
32 Correct 8 ms 29272 KB Output is correct
33 Correct 8 ms 29256 KB Output is correct
34 Correct 8 ms 29276 KB Output is correct
35 Correct 8 ms 29276 KB Output is correct
36 Correct 8 ms 29276 KB Output is correct
37 Correct 10 ms 29256 KB Output is correct
38 Correct 9 ms 29276 KB Output is correct
39 Correct 9 ms 29144 KB Output is correct
40 Correct 8 ms 29276 KB Output is correct
41 Correct 9 ms 29272 KB Output is correct
42 Correct 8 ms 29276 KB Output is correct
43 Correct 11 ms 29532 KB Output is correct
44 Correct 11 ms 29788 KB Output is correct
45 Correct 633 ms 107436 KB Output is correct
46 Correct 1046 ms 144860 KB Output is correct
47 Correct 1071 ms 144836 KB Output is correct
48 Correct 8 ms 29276 KB Output is correct
49 Correct 8 ms 29272 KB Output is correct
50 Correct 8 ms 29180 KB Output is correct
51 Runtime error 29 ms 58960 KB Execution killed with signal 6
52 Halted 0 ms 0 KB -

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct
17 Correct 10 ms 29276 KB Output is correct
18 Correct 8 ms 29276 KB Output is correct
19 Correct 9 ms 29276 KB Output is correct
20 Correct 1574 ms 173400 KB Output is correct
21 Correct 1568 ms 173184 KB Output is correct
22 Correct 1604 ms 173556 KB Output is correct
23 Correct 1159 ms 182776 KB Output is correct
24 Correct 291 ms 45744 KB Output is correct
25 Correct 497 ms 64476 KB Output is correct
26 Correct 433 ms 64488 KB Output is correct
27 Correct 1481 ms 210204 KB Output is correct
28 Correct 1502 ms 210300 KB Output is correct
29 Correct 1528 ms 210348 KB Output is correct
30 Correct 1514 ms 210324 KB Output is correct
31 Correct 9 ms 29528 KB Output is correct
32 Correct 73 ms 39516 KB Output is correct
33 Correct 118 ms 37456 KB Output is correct
34 Correct 1600 ms 173256 KB Output is correct
35 Correct 23 ms 31068 KB Output is correct
36 Correct 96 ms 37972 KB Output is correct
37 Correct 214 ms 46672 KB Output is correct
38 Correct 539 ms 82664 KB Output is correct
39 Correct 863 ms 102624 KB Output is correct
40 Correct 1302 ms 127532 KB Output is correct
41 Correct 1725 ms 144524 KB Output is correct
42 Correct 2245 ms 164332 KB Output is correct
43 Correct 11 ms 29276 KB Output is correct
44 Correct 9 ms 29276 KB Output is correct
45 Correct 9 ms 29272 KB Output is correct
46 Correct 10 ms 29120 KB Output is correct
47 Correct 11 ms 29276 KB Output is correct
48 Correct 11 ms 29276 KB Output is correct
49 Correct 8 ms 29248 KB Output is correct
50 Correct 10 ms 29324 KB Output is correct
51 Correct 13 ms 29276 KB Output is correct
52 Correct 9 ms 29276 KB Output is correct
53 Correct 10 ms 29276 KB Output is correct
54 Correct 12 ms 29588 KB Output is correct
55 Correct 14 ms 30040 KB Output is correct
56 Correct 818 ms 107536 KB Output is correct
57 Correct 1273 ms 146544 KB Output is correct
58 Correct 1237 ms 144844 KB Output is correct
59 Correct 10 ms 29272 KB Output is correct
60 Correct 10 ms 29272 KB Output is correct
61 Correct 10 ms 29100 KB Output is correct
62 Correct 1662 ms 210508 KB Output is correct
63 Correct 1608 ms 210316 KB Output is correct
64 Correct 1489 ms 209648 KB Output is correct
65 Correct 13 ms 29788 KB Output is correct
66 Correct 20 ms 30640 KB Output is correct
67 Correct 722 ms 103268 KB Output is correct
68 Correct 1228 ms 142540 KB Output is correct
69 Correct 1673 ms 179660 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct
17 Correct 1460 ms 210336 KB Output is correct
18 Correct 1543 ms 210440 KB Output is correct
19 Correct 1659 ms 173380 KB Output is correct
20 Correct 1113 ms 76848 KB Output is correct
21 Correct 1181 ms 137836 KB Output is correct
22 Correct 9 ms 29276 KB Output is correct
23 Correct 172 ms 51368 KB Output is correct
24 Correct 44 ms 32596 KB Output is correct
25 Correct 153 ms 41560 KB Output is correct
26 Correct 278 ms 50260 KB Output is correct
27 Correct 710 ms 92716 KB Output is correct
28 Correct 926 ms 107592 KB Output is correct
29 Correct 1160 ms 129048 KB Output is correct
30 Correct 1409 ms 141756 KB Output is correct
31 Correct 1648 ms 158004 KB Output is correct
32 Correct 1568 ms 188620 KB Output is correct
33 Correct 1519 ms 210324 KB Output is correct
34 Correct 16 ms 30044 KB Output is correct
35 Correct 24 ms 30812 KB Output is correct
36 Correct 690 ms 103340 KB Output is correct
37 Correct 1166 ms 142280 KB Output is correct
38 Correct 1560 ms 179880 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 29276 KB Output is correct
2 Correct 9 ms 29176 KB Output is correct
3 Correct 9 ms 29276 KB Output is correct
4 Correct 9 ms 29124 KB Output is correct
5 Correct 9 ms 29132 KB Output is correct
6 Correct 8 ms 29272 KB Output is correct
7 Correct 9 ms 29216 KB Output is correct
8 Correct 9 ms 29276 KB Output is correct
9 Correct 652 ms 118916 KB Output is correct
10 Correct 43 ms 38152 KB Output is correct
11 Correct 253 ms 77796 KB Output is correct
12 Correct 62 ms 42744 KB Output is correct
13 Correct 47 ms 36944 KB Output is correct
14 Correct 10 ms 29272 KB Output is correct
15 Correct 12 ms 29532 KB Output is correct
16 Correct 688 ms 118844 KB Output is correct
17 Correct 9 ms 29276 KB Output is correct
18 Correct 8 ms 29276 KB Output is correct
19 Correct 10 ms 29276 KB Output is correct
20 Correct 9 ms 29276 KB Output is correct
21 Correct 9 ms 29328 KB Output is correct
22 Correct 9 ms 29276 KB Output is correct
23 Correct 1492 ms 179308 KB Output is correct
24 Correct 8 ms 29272 KB Output is correct
25 Correct 11 ms 30148 KB Output is correct
26 Correct 12 ms 29788 KB Output is correct
27 Correct 13 ms 29788 KB Output is correct
28 Correct 472 ms 89064 KB Output is correct
29 Correct 809 ms 124920 KB Output is correct
30 Correct 1152 ms 150988 KB Output is correct
31 Correct 1516 ms 179312 KB Output is correct
32 Correct 8 ms 29272 KB Output is correct
33 Correct 8 ms 29256 KB Output is correct
34 Correct 8 ms 29276 KB Output is correct
35 Correct 8 ms 29276 KB Output is correct
36 Correct 8 ms 29276 KB Output is correct
37 Correct 10 ms 29256 KB Output is correct
38 Correct 9 ms 29276 KB Output is correct
39 Correct 9 ms 29144 KB Output is correct
40 Correct 8 ms 29276 KB Output is correct
41 Correct 9 ms 29272 KB Output is correct
42 Correct 8 ms 29276 KB Output is correct
43 Correct 11 ms 29532 KB Output is correct
44 Correct 11 ms 29788 KB Output is correct
45 Correct 633 ms 107436 KB Output is correct
46 Correct 1046 ms 144860 KB Output is correct
47 Correct 1071 ms 144836 KB Output is correct
48 Correct 8 ms 29276 KB Output is correct
49 Correct 8 ms 29272 KB Output is correct
50 Correct 8 ms 29180 KB Output is correct
51 Runtime error 29 ms 58960 KB Execution killed with signal 6
52 Halted 0 ms 0 KB -