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Submission #651057

# Submission time Handle Problem Language Result Execution time Memory
651057 2022-10-16T18:44:11 Z 600Mihnea Stranded Far From Home (BOI22_island) C++17
100 / 100
 322 ms 35572 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

int main() {
  ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
  int n,m;
  cin>>n>>m;
  vector<ll> s(n);
  vector<int> t(n,-1);
  vector<int> ord(n);
  vector<vector<int>> bosses(n);
  vector<vector<int>> g(n);
  for (int i=0;i<n;i++) {
    cin>>s[i];
    ord[i]=i;
    bosses[i]={i};
  }
  sort(ord.begin(),ord.end(),[&](int i,int j){return s[i]<s[j];});
  for (int i=0;i<m;i++) {
    int a,b;
    cin>>a>>b;
    a--, b--;
    g[a].push_back(b);
    g[b].push_back(a);
  }
  function<int(int)>root=[&](int a){
    if(t[a]==a){
      return a;
    }else{
      return t[a]=root(t[a]);
    }
  };
  function<void(int,int)>join=[&](int a,int b){
    a=root(a);
    b=root(b);
    if(a==b){
      assert(0);
      return;
    }
    if ((int)bosses[a].size()>(int)bosses[b].size()){
      swap(a,b);
    }
    t[a]=b;
    s[b]+=s[a];
    for (auto &boss:bosses[a]){
      bosses[b].push_back(boss);
    }
  };
  for (auto &v:ord){
    /// activate vertex v
    vector<int> comps;
    for (auto &ngh:g[v]){
      if (t[ngh]!=-1){
        comps.push_back(root(ngh));
      }
    }
    sort(comps.begin(),comps.end());
    comps.resize(unique(comps.begin(),comps.end())-comps.begin());
    t[v]=v;
    for (auto &c:comps){
      if (s[c]<s[v]){
        bosses[c].clear();
      }
    }
    for(auto&c:comps){
      join(v,c);
    }
  }
  vector<int> isboss(n,0);
  for (auto &boss:bosses[root(0)]){
    isboss[boss]=1;
  }
  for (auto &is:isboss){
    cout<<is;
  }
  cout<<"\n";
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 596 KB Output is correct
6 Correct 2 ms 456 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 2 ms 636 KB Output is correct
11 Correct 2 ms 596 KB Output is correct
12 Correct 3 ms 636 KB Output is correct
13 Correct 2 ms 596 KB Output is correct
14 Correct 2 ms 596 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 171 ms 31548 KB Output is correct
4 Correct 178 ms 33364 KB Output is correct
5 Correct 190 ms 32468 KB Output is correct
6 Correct 198 ms 33552 KB Output is correct
7 Correct 226 ms 33560 KB Output is correct
8 Correct 194 ms 32804 KB Output is correct
9 Correct 188 ms 35432 KB Output is correct
10 Correct 128 ms 31160 KB Output is correct
11 Correct 129 ms 31872 KB Output is correct
12 Correct 220 ms 31000 KB Output is correct
13 Correct 169 ms 33672 KB Output is correct
14 Correct 180 ms 33388 KB Output is correct
15 Correct 151 ms 31644 KB Output is correct
16 Correct 103 ms 30640 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 322 ms 34244 KB Output is correct
3 Correct 298 ms 34496 KB Output is correct
4 Correct 202 ms 35292 KB Output is correct
5 Correct 191 ms 33516 KB Output is correct
6 Correct 304 ms 34472 KB Output is correct
7 Correct 233 ms 31636 KB Output is correct
8 Correct 210 ms 31704 KB Output is correct
9 Correct 114 ms 30732 KB Output is correct
10 Correct 217 ms 32068 KB Output is correct
11 Correct 226 ms 32636 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 241 ms 32124 KB Output is correct
3 Correct 221 ms 32692 KB Output is correct
4 Correct 277 ms 33604 KB Output is correct
5 Correct 225 ms 34380 KB Output is correct
6 Correct 206 ms 31628 KB Output is correct
7 Correct 142 ms 32700 KB Output is correct
8 Correct 119 ms 32232 KB Output is correct
9 Correct 133 ms 17620 KB Output is correct
10 Correct 221 ms 33848 KB Output is correct
11 Correct 190 ms 32864 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 596 KB Output is correct
6 Correct 2 ms 456 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 2 ms 636 KB Output is correct
11 Correct 2 ms 596 KB Output is correct
12 Correct 3 ms 636 KB Output is correct
13 Correct 2 ms 596 KB Output is correct
14 Correct 2 ms 596 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 316 KB Output is correct
17 Correct 171 ms 31548 KB Output is correct
18 Correct 178 ms 33364 KB Output is correct
19 Correct 190 ms 32468 KB Output is correct
20 Correct 198 ms 33552 KB Output is correct
21 Correct 226 ms 33560 KB Output is correct
22 Correct 194 ms 32804 KB Output is correct
23 Correct 188 ms 35432 KB Output is correct
24 Correct 128 ms 31160 KB Output is correct
25 Correct 129 ms 31872 KB Output is correct
26 Correct 220 ms 31000 KB Output is correct
27 Correct 169 ms 33672 KB Output is correct
28 Correct 180 ms 33388 KB Output is correct
29 Correct 151 ms 31644 KB Output is correct
30 Correct 103 ms 30640 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 322 ms 34244 KB Output is correct
33 Correct 298 ms 34496 KB Output is correct
34 Correct 202 ms 35292 KB Output is correct
35 Correct 191 ms 33516 KB Output is correct
36 Correct 304 ms 34472 KB Output is correct
37 Correct 233 ms 31636 KB Output is correct
38 Correct 210 ms 31704 KB Output is correct
39 Correct 114 ms 30732 KB Output is correct
40 Correct 217 ms 32068 KB Output is correct
41 Correct 226 ms 32636 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 241 ms 32124 KB Output is correct
44 Correct 221 ms 32692 KB Output is correct
45 Correct 277 ms 33604 KB Output is correct
46 Correct 225 ms 34380 KB Output is correct
47 Correct 206 ms 31628 KB Output is correct
48 Correct 142 ms 32700 KB Output is correct
49 Correct 119 ms 32232 KB Output is correct
50 Correct 133 ms 17620 KB Output is correct
51 Correct 221 ms 33848 KB Output is correct
52 Correct 190 ms 32864 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 2 ms 592 KB Output is correct
57 Correct 2 ms 596 KB Output is correct
58 Correct 2 ms 460 KB Output is correct
59 Correct 2 ms 468 KB Output is correct
60 Correct 2 ms 468 KB Output is correct
61 Correct 2 ms 596 KB Output is correct
62 Correct 2 ms 596 KB Output is correct
63 Correct 2 ms 596 KB Output is correct
64 Correct 2 ms 596 KB Output is correct
65 Correct 2 ms 596 KB Output is correct
66 Correct 2 ms 596 KB Output is correct
67 Correct 179 ms 31708 KB Output is correct
68 Correct 173 ms 33440 KB Output is correct
69 Correct 184 ms 32580 KB Output is correct
70 Correct 198 ms 33500 KB Output is correct
71 Correct 207 ms 33636 KB Output is correct
72 Correct 201 ms 32848 KB Output is correct
73 Correct 185 ms 35572 KB Output is correct
74 Correct 131 ms 31144 KB Output is correct
75 Correct 126 ms 31892 KB Output is correct
76 Correct 184 ms 31040 KB Output is correct
77 Correct 170 ms 33756 KB Output is correct
78 Correct 172 ms 33412 KB Output is correct
79 Correct 146 ms 31632 KB Output is correct
80 Correct 106 ms 30700 KB Output is correct
81 Correct 236 ms 34204 KB Output is correct
82 Correct 230 ms 34316 KB Output is correct
83 Correct 186 ms 35360 KB Output is correct
84 Correct 158 ms 33436 KB Output is correct
85 Correct 242 ms 34504 KB Output is correct
86 Correct 180 ms 31612 KB Output is correct
87 Correct 187 ms 31712 KB Output is correct
88 Correct 188 ms 32072 KB Output is correct
89 Correct 211 ms 32588 KB Output is correct
90 Correct 236 ms 32104 KB Output is correct
91 Correct 235 ms 32720 KB Output is correct
92 Correct 232 ms 33608 KB Output is correct
93 Correct 235 ms 34496 KB Output is correct
94 Correct 216 ms 31552 KB Output is correct
95 Correct 150 ms 32660 KB Output is correct
96 Correct 122 ms 32292 KB Output is correct
97 Correct 119 ms 17564 KB Output is correct
98 Correct 218 ms 33852 KB Output is correct
99 Correct 189 ms 32780 KB Output is correct
100 Correct 45 ms 4892 KB Output is correct
101 Correct 247 ms 32924 KB Output is correct
102 Correct 168 ms 25916 KB Output is correct
103 Correct 204 ms 26824 KB Output is correct
104 Correct 244 ms 31452 KB Output is correct