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Submission #837610

# Submission time Handle Problem Language Result Execution time Memory
837610 2023-08-25T12:49:33 Z d4xn Stranded Far From Home (BOI22_island) C++17
100 / 100
 359 ms 63052 KB 
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math,inline")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,lzcnt,mmx,abm,avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int N = 2e5+1;

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 7 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 8 ms 14872 KB Output is correct
5 Correct 8 ms 14928 KB Output is correct
6 Correct 8 ms 14804 KB Output is correct
7 Correct 8 ms 14804 KB Output is correct
8 Correct 9 ms 14804 KB Output is correct
9 Correct 7 ms 14932 KB Output is correct
10 Correct 9 ms 14804 KB Output is correct
11 Correct 8 ms 14804 KB Output is correct
12 Correct 7 ms 14804 KB Output is correct
13 Correct 8 ms 14804 KB Output is correct
14 Correct 8 ms 14804 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 6 ms 14420 KB Output is correct
3 Correct 164 ms 56200 KB Output is correct
4 Correct 175 ms 56448 KB Output is correct
5 Correct 194 ms 54956 KB Output is correct
6 Correct 216 ms 56292 KB Output is correct
7 Correct 248 ms 56272 KB Output is correct
8 Correct 240 ms 60108 KB Output is correct
9 Correct 171 ms 57544 KB Output is correct
10 Correct 180 ms 56816 KB Output is correct
11 Correct 216 ms 56888 KB Output is correct
12 Correct 224 ms 58444 KB Output is correct
13 Correct 150 ms 55272 KB Output is correct
14 Correct 160 ms 55276 KB Output is correct
15 Correct 155 ms 55288 KB Output is correct
16 Correct 102 ms 54860 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 235 ms 55088 KB Output is correct
3 Correct 240 ms 55244 KB Output is correct
4 Correct 155 ms 55244 KB Output is correct
5 Correct 163 ms 55356 KB Output is correct
6 Correct 242 ms 55324 KB Output is correct
7 Correct 180 ms 55296 KB Output is correct
8 Correct 192 ms 55308 KB Output is correct
9 Correct 113 ms 54912 KB Output is correct
10 Correct 167 ms 56016 KB Output is correct
11 Correct 204 ms 55484 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 302 ms 56344 KB Output is correct
3 Correct 287 ms 56268 KB Output is correct
4 Correct 297 ms 56480 KB Output is correct
5 Correct 256 ms 56260 KB Output is correct
6 Correct 244 ms 56660 KB Output is correct
7 Correct 189 ms 56896 KB Output is correct
8 Correct 154 ms 63052 KB Output is correct
9 Correct 203 ms 47652 KB Output is correct
10 Correct 237 ms 56424 KB Output is correct
11 Correct 188 ms 55500 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 8 ms 14872 KB Output is correct
5 Correct 8 ms 14928 KB Output is correct
6 Correct 8 ms 14804 KB Output is correct
7 Correct 8 ms 14804 KB Output is correct
8 Correct 9 ms 14804 KB Output is correct
9 Correct 7 ms 14932 KB Output is correct
10 Correct 9 ms 14804 KB Output is correct
11 Correct 8 ms 14804 KB Output is correct
12 Correct 7 ms 14804 KB Output is correct
13 Correct 8 ms 14804 KB Output is correct
14 Correct 8 ms 14804 KB Output is correct
15 Correct 7 ms 14420 KB Output is correct
16 Correct 6 ms 14420 KB Output is correct
17 Correct 164 ms 56200 KB Output is correct
18 Correct 175 ms 56448 KB Output is correct
19 Correct 194 ms 54956 KB Output is correct
20 Correct 216 ms 56292 KB Output is correct
21 Correct 248 ms 56272 KB Output is correct
22 Correct 240 ms 60108 KB Output is correct
23 Correct 171 ms 57544 KB Output is correct
24 Correct 180 ms 56816 KB Output is correct
25 Correct 216 ms 56888 KB Output is correct
26 Correct 224 ms 58444 KB Output is correct
27 Correct 150 ms 55272 KB Output is correct
28 Correct 160 ms 55276 KB Output is correct
29 Correct 155 ms 55288 KB Output is correct
30 Correct 102 ms 54860 KB Output is correct
31 Correct 7 ms 14420 KB Output is correct
32 Correct 235 ms 55088 KB Output is correct
33 Correct 240 ms 55244 KB Output is correct
34 Correct 155 ms 55244 KB Output is correct
35 Correct 163 ms 55356 KB Output is correct
36 Correct 242 ms 55324 KB Output is correct
37 Correct 180 ms 55296 KB Output is correct
38 Correct 192 ms 55308 KB Output is correct
39 Correct 113 ms 54912 KB Output is correct
40 Correct 167 ms 56016 KB Output is correct
41 Correct 204 ms 55484 KB Output is correct
42 Correct 7 ms 14420 KB Output is correct
43 Correct 302 ms 56344 KB Output is correct
44 Correct 287 ms 56268 KB Output is correct
45 Correct 297 ms 56480 KB Output is correct
46 Correct 256 ms 56260 KB Output is correct
47 Correct 244 ms 56660 KB Output is correct
48 Correct 189 ms 56896 KB Output is correct
49 Correct 154 ms 63052 KB Output is correct
50 Correct 203 ms 47652 KB Output is correct
51 Correct 237 ms 56424 KB Output is correct
52 Correct 188 ms 55500 KB Output is correct
53 Correct 9 ms 14420 KB Output is correct
54 Correct 7 ms 14420 KB Output is correct
55 Correct 7 ms 14420 KB Output is correct
56 Correct 8 ms 14804 KB Output is correct
57 Correct 8 ms 14804 KB Output is correct
58 Correct 9 ms 14804 KB Output is correct
59 Correct 9 ms 14804 KB Output is correct
60 Correct 8 ms 14804 KB Output is correct
61 Correct 8 ms 14932 KB Output is correct
62 Correct 8 ms 14804 KB Output is correct
63 Correct 9 ms 14804 KB Output is correct
64 Correct 8 ms 14804 KB Output is correct
65 Correct 8 ms 14804 KB Output is correct
66 Correct 9 ms 14804 KB Output is correct
67 Correct 152 ms 56208 KB Output is correct
68 Correct 161 ms 56508 KB Output is correct
69 Correct 184 ms 54916 KB Output is correct
70 Correct 196 ms 56160 KB Output is correct
71 Correct 210 ms 56252 KB Output is correct
72 Correct 252 ms 60228 KB Output is correct
73 Correct 155 ms 57528 KB Output is correct
74 Correct 183 ms 56812 KB Output is correct
75 Correct 225 ms 56812 KB Output is correct
76 Correct 227 ms 58560 KB Output is correct
77 Correct 148 ms 55220 KB Output is correct
78 Correct 152 ms 55356 KB Output is correct
79 Correct 152 ms 55324 KB Output is correct
80 Correct 127 ms 54860 KB Output is correct
81 Correct 254 ms 54988 KB Output is correct
82 Correct 253 ms 55244 KB Output is correct
83 Correct 152 ms 55320 KB Output is correct
84 Correct 154 ms 55244 KB Output is correct
85 Correct 235 ms 55248 KB Output is correct
86 Correct 189 ms 55280 KB Output is correct
87 Correct 168 ms 55244 KB Output is correct
88 Correct 155 ms 55880 KB Output is correct
89 Correct 189 ms 55484 KB Output is correct
90 Correct 359 ms 56408 KB Output is correct
91 Correct 289 ms 56232 KB Output is correct
92 Correct 316 ms 56480 KB Output is correct
93 Correct 243 ms 56304 KB Output is correct
94 Correct 285 ms 56756 KB Output is correct
95 Correct 185 ms 56888 KB Output is correct
96 Correct 159 ms 63052 KB Output is correct
97 Correct 198 ms 47568 KB Output is correct
98 Correct 226 ms 56496 KB Output is correct
99 Correct 238 ms 55404 KB Output is correct
100 Correct 98 ms 31956 KB Output is correct
101 Correct 299 ms 56436 KB Output is correct
102 Correct 242 ms 57460 KB Output is correct
103 Correct 331 ms 57900 KB Output is correct
104 Correct 330 ms 57068 KB Output is correct