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Submission #1095485

# Submission time Handle Problem Language Result Execution time Memory
1095485 2024-10-02T11:34:14 Z duckindog Stranded Far From Home (BOI22_island) C++17
100 / 100
 99 ms 29036 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 200'000 + 10;
int n, m;
int a[N];
vector<pair<int, int>> edges;

long long total[N];
int id[N];
vector<int> vt[N];
bool mk[N];
int root(int u) { return id[u] < 0 ? u : root(id[u]); }
void add(int u, int v) { 
  u = root(u); v = root(v);
  if (u == v) return;
  
  if (a[u] < a[v]) swap(u, v);
  if (total[v] < a[u]) {
    for (const auto& x : vt[v]) mk[x] = false;
    vt[v].clear();
  }

  if (id[u] > id[v]) swap(u, v);
  total[u] += total[v];
  a[u] = max(a[u], a[v]);
  vt[u].insert(vt[u].end(), vt[v].begin(), vt[v].end());
  id[u] += id[v];
  id[v] = u;
}

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n >> m;
  for (int i = 1; i <= n; ++i) cin >> a[i];
  for (int i = 1; i <= m; ++i) { 
    int u, v; cin >> u >> v;
    edges.push_back({u, v});
  }
  sort(edges.begin(), edges.end(), [&](const auto& x, const auto& y) { 
    return max(a[get<0>(x)], a[get<1>(x)]) < max(a[get<0>(y)], a[get<1>(y)]);
  });
  
  for (int i = 1; i <= n; ++i) {
    total[i] = a[i];
    vt[i] = {i};
  }
  memset(mk, true, sizeof mk);
  memset(id, -1, sizeof id);
  for (const auto& [u, v] : edges) add(u, v);

  for (int i = 1; i <= n; ++i) cout << mk[i];
  cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 3 ms 5980 KB Output is correct
3 Correct 2 ms 5924 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 5 ms 6492 KB Output is correct
6 Correct 3 ms 6204 KB Output is correct
7 Correct 3 ms 6236 KB Output is correct
8 Correct 3 ms 6236 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 4 ms 6236 KB Output is correct
11 Correct 3 ms 6236 KB Output is correct
12 Correct 4 ms 6232 KB Output is correct
13 Correct 4 ms 6236 KB Output is correct
14 Correct 3 ms 6236 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5980 KB Output is correct
2 Correct 3 ms 5980 KB Output is correct
3 Correct 92 ms 22332 KB Output is correct
4 Correct 80 ms 26756 KB Output is correct
5 Correct 85 ms 23756 KB Output is correct
6 Correct 89 ms 24516 KB Output is correct
7 Correct 92 ms 24264 KB Output is correct
8 Correct 91 ms 26564 KB Output is correct
9 Correct 87 ms 25028 KB Output is correct
10 Correct 70 ms 19840 KB Output is correct
11 Correct 79 ms 21484 KB Output is correct
12 Correct 76 ms 21188 KB Output is correct
13 Correct 85 ms 27672 KB Output is correct
14 Correct 85 ms 26564 KB Output is correct
15 Correct 75 ms 22724 KB Output is correct
16 Correct 60 ms 21804 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5980 KB Output is correct
2 Correct 94 ms 25032 KB Output is correct
3 Correct 97 ms 24840 KB Output is correct
4 Correct 93 ms 28864 KB Output is correct
5 Correct 79 ms 27080 KB Output is correct
6 Correct 98 ms 25284 KB Output is correct
7 Correct 77 ms 22648 KB Output is correct
8 Correct 79 ms 22564 KB Output is correct
9 Correct 59 ms 21704 KB Output is correct
10 Correct 73 ms 24008 KB Output is correct
11 Correct 81 ms 24264 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB Output is correct
2 Correct 84 ms 23024 KB Output is correct
3 Correct 78 ms 23240 KB Output is correct
4 Correct 88 ms 24260 KB Output is correct
5 Correct 81 ms 25800 KB Output is correct
6 Correct 75 ms 23384 KB Output is correct
7 Correct 71 ms 22468 KB Output is correct
8 Correct 66 ms 22220 KB Output is correct
9 Correct 48 ms 15300 KB Output is correct
10 Correct 81 ms 25028 KB Output is correct
11 Correct 79 ms 24668 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5976 KB Output is correct
2 Correct 3 ms 5980 KB Output is correct
3 Correct 2 ms 5924 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 5 ms 6492 KB Output is correct
6 Correct 3 ms 6204 KB Output is correct
7 Correct 3 ms 6236 KB Output is correct
8 Correct 3 ms 6236 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 4 ms 6236 KB Output is correct
11 Correct 3 ms 6236 KB Output is correct
12 Correct 4 ms 6232 KB Output is correct
13 Correct 4 ms 6236 KB Output is correct
14 Correct 3 ms 6236 KB Output is correct
15 Correct 3 ms 5980 KB Output is correct
16 Correct 3 ms 5980 KB Output is correct
17 Correct 92 ms 22332 KB Output is correct
18 Correct 80 ms 26756 KB Output is correct
19 Correct 85 ms 23756 KB Output is correct
20 Correct 89 ms 24516 KB Output is correct
21 Correct 92 ms 24264 KB Output is correct
22 Correct 91 ms 26564 KB Output is correct
23 Correct 87 ms 25028 KB Output is correct
24 Correct 70 ms 19840 KB Output is correct
25 Correct 79 ms 21484 KB Output is correct
26 Correct 76 ms 21188 KB Output is correct
27 Correct 85 ms 27672 KB Output is correct
28 Correct 85 ms 26564 KB Output is correct
29 Correct 75 ms 22724 KB Output is correct
30 Correct 60 ms 21804 KB Output is correct
31 Correct 3 ms 5980 KB Output is correct
32 Correct 94 ms 25032 KB Output is correct
33 Correct 97 ms 24840 KB Output is correct
34 Correct 93 ms 28864 KB Output is correct
35 Correct 79 ms 27080 KB Output is correct
36 Correct 98 ms 25284 KB Output is correct
37 Correct 77 ms 22648 KB Output is correct
38 Correct 79 ms 22564 KB Output is correct
39 Correct 59 ms 21704 KB Output is correct
40 Correct 73 ms 24008 KB Output is correct
41 Correct 81 ms 24264 KB Output is correct
42 Correct 2 ms 5976 KB Output is correct
43 Correct 84 ms 23024 KB Output is correct
44 Correct 78 ms 23240 KB Output is correct
45 Correct 88 ms 24260 KB Output is correct
46 Correct 81 ms 25800 KB Output is correct
47 Correct 75 ms 23384 KB Output is correct
48 Correct 71 ms 22468 KB Output is correct
49 Correct 66 ms 22220 KB Output is correct
50 Correct 48 ms 15300 KB Output is correct
51 Correct 81 ms 25028 KB Output is correct
52 Correct 79 ms 24668 KB Output is correct
53 Correct 3 ms 5980 KB Output is correct
54 Correct 3 ms 6064 KB Output is correct
55 Correct 3 ms 5976 KB Output is correct
56 Correct 4 ms 6236 KB Output is correct
57 Correct 3 ms 6236 KB Output is correct
58 Correct 3 ms 6236 KB Output is correct
59 Correct 3 ms 6236 KB Output is correct
60 Correct 3 ms 6236 KB Output is correct
61 Correct 3 ms 6232 KB Output is correct
62 Correct 4 ms 6488 KB Output is correct
63 Correct 3 ms 6236 KB Output is correct
64 Correct 3 ms 6488 KB Output is correct
65 Correct 3 ms 6236 KB Output is correct
66 Correct 3 ms 6236 KB Output is correct
67 Correct 77 ms 22348 KB Output is correct
68 Correct 75 ms 26824 KB Output is correct
69 Correct 86 ms 23748 KB Output is correct
70 Correct 90 ms 24520 KB Output is correct
71 Correct 91 ms 24228 KB Output is correct
72 Correct 90 ms 26552 KB Output is correct
73 Correct 79 ms 25036 KB Output is correct
74 Correct 68 ms 19908 KB Output is correct
75 Correct 65 ms 21700 KB Output is correct
76 Correct 71 ms 21192 KB Output is correct
77 Correct 73 ms 27724 KB Output is correct
78 Correct 77 ms 26540 KB Output is correct
79 Correct 74 ms 22732 KB Output is correct
80 Correct 54 ms 21748 KB Output is correct
81 Correct 89 ms 25028 KB Output is correct
82 Correct 87 ms 24780 KB Output is correct
83 Correct 85 ms 29036 KB Output is correct
84 Correct 81 ms 27080 KB Output is correct
85 Correct 86 ms 25288 KB Output is correct
86 Correct 76 ms 22724 KB Output is correct
87 Correct 74 ms 22688 KB Output is correct
88 Correct 80 ms 24008 KB Output is correct
89 Correct 79 ms 24264 KB Output is correct
90 Correct 84 ms 22816 KB Output is correct
91 Correct 87 ms 23064 KB Output is correct
92 Correct 98 ms 24124 KB Output is correct
93 Correct 83 ms 25852 KB Output is correct
94 Correct 74 ms 23492 KB Output is correct
95 Correct 65 ms 22528 KB Output is correct
96 Correct 58 ms 22220 KB Output is correct
97 Correct 54 ms 15176 KB Output is correct
98 Correct 90 ms 25020 KB Output is correct
99 Correct 80 ms 24772 KB Output is correct
100 Correct 38 ms 9676 KB Output is correct
101 Correct 99 ms 23436 KB Output is correct
102 Correct 67 ms 20676 KB Output is correct
103 Correct 88 ms 19908 KB Output is correct
104 Correct 96 ms 22596 KB Output is correct