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Submission #1100660

# Submission time Handle Problem Language Result Execution time Memory
1100660 2024-10-14T11:53:38 Z epicci23 Inside information (BOI21_servers) C++17
50 / 100
 152 ms 49752 KB 
#include "bits/stdc++.h"
//#define int long long
#define all(v) v.begin() , v.end()
#define sz(a) (int)a.size()
using namespace std;

const int N = 1e5 + 2e4 + 5;
const int LOG = 18;
const int INF = 1e9;

struct DSU{
  vector<int> par,siz;
  DSU(int n){
    par.resize(n+5);
    iota(all(par),0LL);
    siz.assign(n+5,1LL);
  }

  int find(int a){
    if(par[a]==a) return a;
    return par[a]=find(par[a]);
  }

  void unite(int a,int b){
    a=find(a),b=find(b);
    if(a==b) return;
    if(siz[a]>siz[b]) swap(a,b);
    siz[b]+=siz[a];
    par[a]=b;
  }
};

int maxi[N][LOG],mini[N][LOG];
int lift[N][LOG],depth[N];
vector<array<int,2>> v[N];

void dfs(int c){
  for(int i=1;i<LOG;i++) lift[c][i]=lift[lift[c][i-1]][i-1];
  
  for(int i=1;i<LOG;i++){
  	int u = maxi[c][i-1];
  	int u2 = maxi[lift[c][i-1]][i-1];
  	if(u==-1 || u2==-1) continue;
  	if(u>maxi[lift[c][i-1]][0]) continue;
    maxi[c][i]=u2;
  }

  for(int i=1;i<LOG;i++){
  	int u = mini[c][i-1];
  	int u2 = mini[lift[c][i-1]][i-1];
  	if(u==-1 || u2==-1) continue;
  	if(u<mini[lift[c][i-1]][0]) continue;
    mini[c][i]=u2;
  }

  for(auto E:v[c]){
   int x=E[0],y=E[1];
   if(x==lift[c][0]) continue;
   depth[x]=depth[c]+1;
   lift[x][0]=c;
   maxi[x][0]=mini[x][0]=y;
   dfs(x);
  }
}

int lca(int a,int b){
  if(depth[a]<depth[b]) swap(a,b);
  for(int i=0;i<LOG;i++) if((depth[a]-depth[b])>>i&1) a=lift[a][i];
  if(a==b) return a;
  for(int i=LOG-1;i>=0;i--){
  	if(lift[a][i]!=lift[b][i]){
  	  a=lift[a][i];
  	  b=lift[b][i];
  	}
  }
  return lift[a][0];
}

int yukari(int a,int u){
  int le = depth[a]-depth[u],lol = 0;
  for(int i=LOG-1;i>=0;i--){
    if(!(le>>i&1)) continue;
    if(maxi[a][i]==-1) return -1;
    if(lol>maxi[a][0]) return -1;
    lol=maxi[a][i];
    a=lift[a][i];
  }
  return lol;
}

int asagi(int a,int u){
  int le = depth[a]-depth[u],lol = INF;
  for(int i=LOG-1;i>=0;i--){
    if(!(le>>i&1)) continue;
    if(mini[a][i]==-1) return -1;
    if(lol<mini[a][0]) return -1;
    lol=mini[a][i];
    a=lift[a][i];
  }
  return lol;
}

bool check(int a,int b){
  if(a==b) return true;
  int c=lca(a,b);
  int hm = yukari(a,c);
  int hm2 = asagi(b,c);
  if(hm==-1 || hm2==-1) return false;
  return hm<=hm2;
}

void _(){

  memset(maxi,-1,sizeof(maxi));
  memset(mini,-1,sizeof(mini));

  int n,q;
  cin >> n >> q;
  DSU dsu(n+5);
  
  vector<bool> ans(q+5,1);
  vector<array<int,2>> bak(q+5);
  int cp=0;
  for(int i=1;i<n+q;i++){
   char op; cin >> op;
   int a,b;
   cin >> a >> b; 
   if(op=='S'){
     v[a].push_back({b,i});
     v[b].push_back({a,i});
     dsu.unite(a,b);
   }
   else{
   	 cp++;
   	 bak[cp]={a,b};
     if(dsu.find(a)!=dsu.find(b)) ans[cp]=0;
   }
  }
 
  dfs(1);
  for(int i=1;i<=q;i++){
    if(!ans[i]) continue;
    int a=bak[i][0],b=bak[i][1];
    ans[i]=check(b,a);
  }

  for(int i=1;i<=q;i++){
    if(ans[i]) cout << "yes\n";
    else cout << "no\n";
  }
}

int32_t main(){
  cin.tie(0); ios::sync_with_stdio(0);
  int tc=1;//cin >> tc;
  while(tc--) _();
  return 0;
}

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 19 ms 24928 KB Output is correct
2 Correct 22 ms 25684 KB Output is correct
3 Correct 29 ms 25676 KB Output is correct
4 Correct 22 ms 25932 KB Output is correct
5 Correct 34 ms 25936 KB Output is correct
6 Correct 28 ms 25684 KB Output is correct

Subtask #2
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 19 ms 24928 KB Output is correct
2 Correct 22 ms 25684 KB Output is correct
3 Correct 29 ms 25676 KB Output is correct
4 Correct 22 ms 25932 KB Output is correct
5 Correct 34 ms 25936 KB Output is correct
6 Correct 28 ms 25684 KB Output is correct
7 Incorrect 9 ms 24148 KB Extra information in the output file
8 Halted 0 ms 0 KB -

Subtask #3
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 20 ms 25060 KB Output is correct
2 Correct 81 ms 38848 KB Output is correct
3 Correct 88 ms 38796 KB Output is correct

Subtask #4
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 20 ms 25060 KB Output is correct
2 Correct 81 ms 38848 KB Output is correct
3 Correct 88 ms 38796 KB Output is correct
4 Incorrect 9 ms 24148 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 25040 KB Output is correct
2 Correct 118 ms 49752 KB Output is correct
3 Correct 133 ms 49636 KB Output is correct
4 Correct 126 ms 49544 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 25040 KB Output is correct
2 Correct 118 ms 49752 KB Output is correct
3 Correct 133 ms 49636 KB Output is correct
4 Correct 126 ms 49544 KB Output is correct
5 Incorrect 10 ms 24148 KB Extra information in the output file
6 Halted 0 ms 0 KB -

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 24908 KB Output is correct
2 Correct 89 ms 39132 KB Output is correct
3 Correct 112 ms 39892 KB Output is correct

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 24908 KB Output is correct
2 Correct 89 ms 39132 KB Output is correct
3 Correct 112 ms 39892 KB Output is correct
4 Incorrect 10 ms 24148 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 25172 KB Output is correct
2 Correct 120 ms 49740 KB Output is correct
3 Correct 116 ms 49720 KB Output is correct
4 Correct 131 ms 49484 KB Output is correct
5 Correct 19 ms 24916 KB Output is correct
6 Correct 84 ms 39332 KB Output is correct
7 Correct 84 ms 39784 KB Output is correct
8 Correct 135 ms 40096 KB Output is correct
9 Correct 117 ms 40276 KB Output is correct
10 Correct 136 ms 45388 KB Output is correct
11 Correct 152 ms 44604 KB Output is correct

Subtask #10
0 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 25172 KB Output is correct
2 Correct 120 ms 49740 KB Output is correct
3 Correct 116 ms 49720 KB Output is correct
4 Correct 131 ms 49484 KB Output is correct
5 Correct 19 ms 24916 KB Output is correct
6 Correct 84 ms 39332 KB Output is correct
7 Correct 84 ms 39784 KB Output is correct
8 Correct 135 ms 40096 KB Output is correct
9 Correct 117 ms 40276 KB Output is correct
10 Correct 136 ms 45388 KB Output is correct
11 Correct 152 ms 44604 KB Output is correct
12 Incorrect 10 ms 24148 KB Extra information in the output file
13 Halted 0 ms 0 KB -

Subtask #11
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 25172 KB Output is correct
2 Correct 24 ms 25684 KB Output is correct
3 Correct 33 ms 25760 KB Output is correct
4 Correct 29 ms 25932 KB Output is correct
5 Correct 35 ms 26188 KB Output is correct
6 Correct 38 ms 25736 KB Output is correct
7 Correct 21 ms 25172 KB Output is correct
8 Correct 89 ms 38848 KB Output is correct
9 Correct 101 ms 38848 KB Output is correct
10 Correct 21 ms 25172 KB Output is correct
11 Correct 118 ms 49740 KB Output is correct
12 Correct 108 ms 49748 KB Output is correct
13 Correct 107 ms 49488 KB Output is correct
14 Correct 20 ms 24920 KB Output is correct
15 Correct 86 ms 39244 KB Output is correct
16 Correct 97 ms 39748 KB Output is correct
17 Correct 132 ms 40280 KB Output is correct
18 Correct 107 ms 40276 KB Output is correct
19 Correct 130 ms 45388 KB Output is correct
20 Correct 148 ms 44456 KB Output is correct
21 Correct 100 ms 39484 KB Output is correct
22 Correct 98 ms 39348 KB Output is correct
23 Correct 115 ms 39740 KB Output is correct
24 Correct 124 ms 39756 KB Output is correct
25 Correct 115 ms 41976 KB Output is correct
26 Correct 106 ms 39244 KB Output is correct
27 Correct 95 ms 39244 KB Output is correct

Subtask #12
0 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 25172 KB Output is correct
2 Correct 24 ms 25684 KB Output is correct
3 Correct 33 ms 25760 KB Output is correct
4 Correct 29 ms 25932 KB Output is correct
5 Correct 35 ms 26188 KB Output is correct
6 Correct 38 ms 25736 KB Output is correct
7 Correct 21 ms 25172 KB Output is correct
8 Correct 89 ms 38848 KB Output is correct
9 Correct 101 ms 38848 KB Output is correct
10 Correct 21 ms 25172 KB Output is correct
11 Correct 118 ms 49740 KB Output is correct
12 Correct 108 ms 49748 KB Output is correct
13 Correct 107 ms 49488 KB Output is correct
14 Correct 20 ms 24920 KB Output is correct
15 Correct 86 ms 39244 KB Output is correct
16 Correct 97 ms 39748 KB Output is correct
17 Correct 132 ms 40280 KB Output is correct
18 Correct 107 ms 40276 KB Output is correct
19 Correct 130 ms 45388 KB Output is correct
20 Correct 148 ms 44456 KB Output is correct
21 Correct 100 ms 39484 KB Output is correct
22 Correct 98 ms 39348 KB Output is correct
23 Correct 115 ms 39740 KB Output is correct
24 Correct 124 ms 39756 KB Output is correct
25 Correct 115 ms 41976 KB Output is correct
26 Correct 106 ms 39244 KB Output is correct
27 Correct 95 ms 39244 KB Output is correct
28 Incorrect 10 ms 24148 KB Extra information in the output file
29 Halted 0 ms 0 KB -