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Submission #837602

# Submission time Handle Problem Language Result Execution time Memory
837602 2023-08-25T12:42:11 Z d4xn Stranded Far From Home (BOI22_island) C++17
100 / 100
 321 ms 66380 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int N = 2e5+5;

int n, m, a[N], p[N], sz[N], dp[N];
vector<int> adj[N];
pair<int, int> s[N];
set<pair<int, int>> st[N];
bitset<N> ok;

int findSet(int x) {
  return p[x] = (p[x] == x ? x : findSet(p[x]));
}

void unite(int x, int y) {
  int X = x;

  x = findSet(x);
  y = findSet(y);
  if (x == y) return;

  if (st[x].size() < st[y].size()) {
    swap(x, y);
  }

  p[y] = x;
  sz[x] += sz[y];

  for (pair<int, int> z : st[y]) {
    st[x].insert(z);
  }

  while (*st[x].begin() <= make_pair(a[X], X)) st[x].erase(st[x].begin());
}

signed main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n >> m;
  a[n] = INT_MAX;
  for (int i = 0; i < n; i++) {
    cin >> a[i];
    s[i] = make_pair(a[i], i);
  }
  sort(s, s+n);

  for (int i = 0; i < m; i++) {
    int x, y;
    cin >> x >> y;
    x--; y--;
    adj[x].push_back(y);
    adj[y].push_back(x);
  }

  for (int i = 0; i < n; i++) {
    p[i] = i;
    sz[i] = a[i];

    st[i].insert(make_pair(INT_MAX, n));
    for (int& j : adj[i]) {
      if (make_pair(a[j], j) > make_pair(a[i], i)) st[i].insert(make_pair(a[j], j));
    }
  }

  for (int i = 0; i < n; i++) {
    int x = s[i].second;

    for (int& j : adj[x]) {
      if (make_pair(a[j], j) < make_pair(a[x], x)) unite(x, j);
    }

    int y = findSet(x);
    int z = sz[y];
    int nwMn = st[y].begin()->second;

    if (nwMn == n) {
      dp[x] = x;
      ok[x] = 1;
    }
    else if (a[nwMn] <= z) {
      dp[x] = nwMn;
    }
    else {
      dp[x] = x;
    }
  }

  for (int i = n-1; i >= 0; i--) {
    int x = s[i].second;
    ok[x] = ok[dp[x]];
  }

  for (int i = 0; i < n; i++) {
    cout << ok[i];
  }
  cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 7 ms 14400 KB Output is correct
4 Correct 8 ms 14864 KB Output is correct
5 Correct 8 ms 14932 KB Output is correct
6 Correct 8 ms 14784 KB Output is correct
7 Correct 10 ms 14804 KB Output is correct
8 Correct 8 ms 14804 KB Output is correct
9 Correct 8 ms 14932 KB Output is correct
10 Correct 8 ms 14804 KB Output is correct
11 Correct 8 ms 14828 KB Output is correct
12 Correct 8 ms 14804 KB Output is correct
13 Correct 8 ms 14832 KB Output is correct
14 Correct 9 ms 14924 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 155 ms 56320 KB Output is correct
4 Correct 163 ms 59560 KB Output is correct
5 Correct 190 ms 59140 KB Output is correct
6 Correct 203 ms 60632 KB Output is correct
7 Correct 194 ms 60620 KB Output is correct
8 Correct 226 ms 64436 KB Output is correct
9 Correct 158 ms 61912 KB Output is correct
10 Correct 179 ms 60396 KB Output is correct
11 Correct 220 ms 60292 KB Output is correct
12 Correct 259 ms 61672 KB Output is correct
13 Correct 136 ms 58176 KB Output is correct
14 Correct 145 ms 58368 KB Output is correct
15 Correct 150 ms 59704 KB Output is correct
16 Correct 113 ms 58684 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 231 ms 55004 KB Output is correct
3 Correct 232 ms 59680 KB Output is correct
4 Correct 170 ms 59764 KB Output is correct
5 Correct 138 ms 58200 KB Output is correct
6 Correct 222 ms 59724 KB Output is correct
7 Correct 176 ms 59752 KB Output is correct
8 Correct 170 ms 59780 KB Output is correct
9 Correct 107 ms 58612 KB Output is correct
10 Correct 156 ms 59772 KB Output is correct
11 Correct 196 ms 58452 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 283 ms 56412 KB Output is correct
3 Correct 278 ms 60584 KB Output is correct
4 Correct 321 ms 60944 KB Output is correct
5 Correct 236 ms 60824 KB Output is correct
6 Correct 239 ms 60984 KB Output is correct
7 Correct 189 ms 61240 KB Output is correct
8 Correct 144 ms 66380 KB Output is correct
9 Correct 185 ms 50192 KB Output is correct
10 Correct 257 ms 59416 KB Output is correct
11 Correct 188 ms 58464 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 7 ms 14400 KB Output is correct
4 Correct 8 ms 14864 KB Output is correct
5 Correct 8 ms 14932 KB Output is correct
6 Correct 8 ms 14784 KB Output is correct
7 Correct 10 ms 14804 KB Output is correct
8 Correct 8 ms 14804 KB Output is correct
9 Correct 8 ms 14932 KB Output is correct
10 Correct 8 ms 14804 KB Output is correct
11 Correct 8 ms 14828 KB Output is correct
12 Correct 8 ms 14804 KB Output is correct
13 Correct 8 ms 14832 KB Output is correct
14 Correct 9 ms 14924 KB Output is correct
15 Correct 7 ms 14420 KB Output is correct
16 Correct 7 ms 14420 KB Output is correct
17 Correct 155 ms 56320 KB Output is correct
18 Correct 163 ms 59560 KB Output is correct
19 Correct 190 ms 59140 KB Output is correct
20 Correct 203 ms 60632 KB Output is correct
21 Correct 194 ms 60620 KB Output is correct
22 Correct 226 ms 64436 KB Output is correct
23 Correct 158 ms 61912 KB Output is correct
24 Correct 179 ms 60396 KB Output is correct
25 Correct 220 ms 60292 KB Output is correct
26 Correct 259 ms 61672 KB Output is correct
27 Correct 136 ms 58176 KB Output is correct
28 Correct 145 ms 58368 KB Output is correct
29 Correct 150 ms 59704 KB Output is correct
30 Correct 113 ms 58684 KB Output is correct
31 Correct 7 ms 14420 KB Output is correct
32 Correct 231 ms 55004 KB Output is correct
33 Correct 232 ms 59680 KB Output is correct
34 Correct 170 ms 59764 KB Output is correct
35 Correct 138 ms 58200 KB Output is correct
36 Correct 222 ms 59724 KB Output is correct
37 Correct 176 ms 59752 KB Output is correct
38 Correct 170 ms 59780 KB Output is correct
39 Correct 107 ms 58612 KB Output is correct
40 Correct 156 ms 59772 KB Output is correct
41 Correct 196 ms 58452 KB Output is correct
42 Correct 7 ms 14420 KB Output is correct
43 Correct 283 ms 56412 KB Output is correct
44 Correct 278 ms 60584 KB Output is correct
45 Correct 321 ms 60944 KB Output is correct
46 Correct 236 ms 60824 KB Output is correct
47 Correct 239 ms 60984 KB Output is correct
48 Correct 189 ms 61240 KB Output is correct
49 Correct 144 ms 66380 KB Output is correct
50 Correct 185 ms 50192 KB Output is correct
51 Correct 257 ms 59416 KB Output is correct
52 Correct 188 ms 58464 KB Output is correct
53 Correct 7 ms 14420 KB Output is correct
54 Correct 7 ms 14392 KB Output is correct
55 Correct 6 ms 14432 KB Output is correct
56 Correct 8 ms 14816 KB Output is correct
57 Correct 8 ms 14816 KB Output is correct
58 Correct 9 ms 14804 KB Output is correct
59 Correct 8 ms 14824 KB Output is correct
60 Correct 9 ms 14824 KB Output is correct
61 Correct 10 ms 14956 KB Output is correct
62 Correct 8 ms 14828 KB Output is correct
63 Correct 8 ms 14804 KB Output is correct
64 Correct 7 ms 14824 KB Output is correct
65 Correct 8 ms 14844 KB Output is correct
66 Correct 9 ms 14780 KB Output is correct
67 Correct 161 ms 60672 KB Output is correct
68 Correct 158 ms 59584 KB Output is correct
69 Correct 219 ms 59176 KB Output is correct
70 Correct 193 ms 60628 KB Output is correct
71 Correct 198 ms 60712 KB Output is correct
72 Correct 245 ms 64576 KB Output is correct
73 Correct 188 ms 61936 KB Output is correct
74 Correct 185 ms 60436 KB Output is correct
75 Correct 204 ms 60272 KB Output is correct
76 Correct 212 ms 61672 KB Output is correct
77 Correct 143 ms 58188 KB Output is correct
78 Correct 148 ms 58332 KB Output is correct
79 Correct 143 ms 59680 KB Output is correct
80 Correct 104 ms 58616 KB Output is correct
81 Correct 253 ms 59504 KB Output is correct
82 Correct 230 ms 59752 KB Output is correct
83 Correct 154 ms 59712 KB Output is correct
84 Correct 139 ms 58136 KB Output is correct
85 Correct 224 ms 59716 KB Output is correct
86 Correct 162 ms 59752 KB Output is correct
87 Correct 160 ms 59728 KB Output is correct
88 Correct 144 ms 59632 KB Output is correct
89 Correct 204 ms 58388 KB Output is correct
90 Correct 288 ms 60752 KB Output is correct
91 Correct 288 ms 60604 KB Output is correct
92 Correct 299 ms 60884 KB Output is correct
93 Correct 249 ms 60756 KB Output is correct
94 Correct 241 ms 60904 KB Output is correct
95 Correct 192 ms 61248 KB Output is correct
96 Correct 145 ms 66380 KB Output is correct
97 Correct 181 ms 50228 KB Output is correct
98 Correct 221 ms 59340 KB Output is correct
99 Correct 174 ms 58352 KB Output is correct
100 Correct 94 ms 33728 KB Output is correct
101 Correct 296 ms 60860 KB Output is correct
102 Correct 231 ms 61456 KB Output is correct
103 Correct 283 ms 61964 KB Output is correct
104 Correct 317 ms 61576 KB Output is correct