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Submission #522138

# Submission time Handle Problem Language Result Execution time Memory
522138 2022-02-03T23:42:24 Z DanerZein Aesthetic (NOI20_aesthetic) C++14
51 / 100
 1321 ms 1048584 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll,int> ii;
typedef vector<int> vi;
const int MAX_N=3e5+10;
const ll MAX=1e15;
ll ma[MAX_N];
ll dis[MAX_N];
vector<vi> G;
vector<ll> a,b,w;
int n,m;
bool pri[MAX_N];
bool bri[MAX_N],vis[MAX_N];
int num[MAX_N],low[MAX_N];
int it=0;
int otro(int id,int x){
  if(a[id]==x) return b[id];
  else return a[id];
}
void bridge(int u,int p){
  num[u]=low[u]=it++;
  vis[u]=1;
  for(auto &v:G[u]){
    int y=otro(v,u);
    if(!vis[y]){
      bridge(y,u);
      if(low[y]>num[u]){
	bri[v]=1;
      }
      low[u]=min(low[u],low[y]);
    }
    else
      if(y!=p)
	low[u]=min(low[u],num[y]);
  }
}
vector<ii> bfs(int u){
  for(int i=0;i<n;i++) dis[i]=MAX;
  dis[u]=0;
  priority_queue<ii, vector<ii>, greater<ii> > pq;
  pq.push(ii(0,u));
  while(!pq.empty()){
    int x=pq.top().second;
    int k=pq.top().first;
    pq.pop();
    for(auto &v:G[x]){
      int y;
      if(x==a[v]) y=b[v];
      else y=a[v];
      if(dis[y]>dis[x]+w[v]){
	dis[y]=dis[x]+w[v];
	pq.push(ii(dis[y],y));
      }
    }
  }
  memset(pri,0,sizeof pri);
  vector<ii> path;
  int st,en;
  if(u==0){
    en=0; st=n-1;
  }
  else{
    st=0; en=n-1;
  }
  u=st;
  while(u!=en){
    int id=-1;
    ll mi=MAX;
    for(auto &v:G[u]){
      int y;
      if(u==a[v]) y=b[v];
      else y=a[v];
      if(mi>dis[y]){
	id=v; mi=dis[y];
      }
    }
    if(u==a[id]) u=b[id];
    else u=a[id];
    path.push_back(ii(u,id));
  }
  reverse(path.begin(),path.end());
  return path;
}
int main(){
  cin>>n>>m;
  G.resize(n+1);
  bool sw=0;
  for(int i=0;i<m;i++){
    int x,y,z; cin>>x>>y>>z;
    x--; y--;
    if(z!=1) sw=1;
    a.push_back(x);
    b.push_back(y);
    w.push_back(z);
    G[x].push_back(i);
    G[y].push_back(i);
  }
  ma[m]=0;
  for(int i=m-1;i>=0;i--)
    ma[i]=max(ma[i+1],w[i+1]);
  ll res=0;
  vector<ii> path=bfs(0);
  if(m==n-1){
    for(int i=0;i<path.size();i++){
      int id=path[i].second;
      if(id==m-1) continue;
      ll rp=dis[n-1]+ma[id];
      res=max(res,rp);
    }
  }
  else{
    if(m==n || !sw){
      if(!sw){
	for(int i=0;i<path.size();i++){
	  if(path[i].second!=m-1)
	    bri[path[i].second]=1;
	}
	ll d[MAX_N];
	for(int i=0;i<n;i++) d[i]=MAX;
	d[0]=0;
	queue<int> q;
	q.push(0);
	while(!q.empty()){
	  int x=q.front();
	  q.pop();
	  for(auto &v:G[x]){
	    if(bri[v]) continue;
	    int y=otro(v,x);
	    if(d[y]>d[x]+1){
	      d[y]=d[x]+1;
	      q.push(y);
	    }
	  }
	}
	res=dis[n-1];
	if(dis[n-1]!=d[n-1]) res++;
      }
      else{
	bridge(0,0);
	bool us[MAX_N];
        for(int i=0;i<path.size();i++){
	  int id=path[i].second;
	  us[id]=1;
	}
	ll s1,s0;
	s1=s0=0;
	for(int i=0;i<m;i++){
	  if(!bri[i]){
	    if(us[i]) s1+=w[i];
	    else s0+=w[i];
	  }
	}
	res=dis[n-1];
	for(int i=0;i<m-1;i++){
	  if(us[i]){
	    if(bri[i]){
	      res=max(res,dis[n-1]+ma[i]);
	    }
	    else{
	      ll rp=min(dis[n-1]-s1+s0,dis[n-1]+ma[i]);
	      res=max(res,rp);
	    }
	  }
	}
      }
    }
    else{
      for(int i=0;i<m-1;i++){
	w[i]+=ma[i];
	bfs(0);
	res=max(res,dis[n-1]);
	w[i]-=ma[i];
      }
      
    }
  }
  cout<<res<<endl;
}

Compilation message

Aesthetic.cpp: In function 'std::vector<std::pair<long long int, int> > bfs(int)':
Aesthetic.cpp:45:9: warning: unused variable 'k' [-Wunused-variable]
   45 |     int k=pq.top().first;
      |         ^
Aesthetic.cpp: In function 'int main()':
Aesthetic.cpp:105:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |     for(int i=0;i<path.size();i++){
      |                 ~^~~~~~~~~~~~
Aesthetic.cpp:115:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  115 |  for(int i=0;i<path.size();i++){
      |              ~^~~~~~~~~~~~
Aesthetic.cpp:142:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  142 |         for(int i=0;i<path.size();i++){
      |                     ~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2892 KB Output is correct
2 Correct 3 ms 2892 KB Output is correct
3 Correct 2 ms 2892 KB Output is correct
4 Correct 3 ms 2896 KB Output is correct
5 Correct 2 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 2 ms 2892 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2892 KB Output is correct
2 Correct 3 ms 2892 KB Output is correct
3 Correct 2 ms 2892 KB Output is correct
4 Correct 3 ms 2896 KB Output is correct
5 Correct 2 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 2 ms 2892 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct
9 Correct 368 ms 3148 KB Output is correct
10 Correct 373 ms 3148 KB Output is correct
11 Correct 277 ms 3128 KB Output is correct
12 Correct 255 ms 3148 KB Output is correct
13 Correct 177 ms 3104 KB Output is correct
14 Correct 169 ms 3096 KB Output is correct
15 Correct 176 ms 3100 KB Output is correct
16 Correct 197 ms 3104 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 559 ms 34592 KB Output is correct
2 Correct 539 ms 34692 KB Output is correct
3 Correct 535 ms 34344 KB Output is correct
4 Correct 512 ms 34340 KB Output is correct
5 Correct 516 ms 34516 KB Output is correct
6 Correct 542 ms 35076 KB Output is correct
7 Correct 511 ms 34936 KB Output is correct
8 Correct 518 ms 35128 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 582 ms 38212 KB Output is correct
2 Correct 604 ms 40400 KB Output is correct
3 Correct 586 ms 40328 KB Output is correct
4 Correct 603 ms 40976 KB Output is correct
5 Correct 576 ms 40324 KB Output is correct
6 Correct 568 ms 40456 KB Output is correct
7 Correct 577 ms 40248 KB Output is correct
8 Correct 587 ms 40608 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 446 ms 31880 KB Output is correct
2 Correct 293 ms 33636 KB Output is correct
3 Correct 307 ms 25000 KB Output is correct
4 Correct 289 ms 25004 KB Output is correct
5 Correct 294 ms 25136 KB Output is correct
6 Correct 289 ms 24980 KB Output is correct
7 Correct 301 ms 25092 KB Output is correct
8 Correct 291 ms 24984 KB Output is correct
9 Correct 292 ms 25252 KB Output is correct
10 Correct 294 ms 25220 KB Output is correct
11 Correct 291 ms 25036 KB Output is correct
12 Correct 433 ms 32196 KB Output is correct
13 Correct 310 ms 24988 KB Output is correct
14 Correct 241 ms 33044 KB Output is correct
15 Correct 254 ms 33120 KB Output is correct
16 Correct 424 ms 32204 KB Output is correct
17 Correct 428 ms 31504 KB Output is correct
18 Correct 416 ms 31748 KB Output is correct
19 Correct 290 ms 33796 KB Output is correct
20 Correct 291 ms 33784 KB Output is correct
21 Correct 280 ms 33796 KB Output is correct
22 Correct 279 ms 33796 KB Output is correct

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 446 ms 31880 KB Output is correct
2 Correct 293 ms 33636 KB Output is correct
3 Correct 307 ms 25000 KB Output is correct
4 Correct 289 ms 25004 KB Output is correct
5 Correct 294 ms 25136 KB Output is correct
6 Correct 289 ms 24980 KB Output is correct
7 Correct 301 ms 25092 KB Output is correct
8 Correct 291 ms 24984 KB Output is correct
9 Correct 292 ms 25252 KB Output is correct
10 Correct 294 ms 25220 KB Output is correct
11 Correct 291 ms 25036 KB Output is correct
12 Correct 433 ms 32196 KB Output is correct
13 Correct 310 ms 24988 KB Output is correct
14 Correct 241 ms 33044 KB Output is correct
15 Correct 254 ms 33120 KB Output is correct
16 Correct 424 ms 32204 KB Output is correct
17 Correct 428 ms 31504 KB Output is correct
18 Correct 416 ms 31748 KB Output is correct
19 Correct 290 ms 33796 KB Output is correct
20 Correct 291 ms 33784 KB Output is correct
21 Correct 280 ms 33796 KB Output is correct
22 Correct 279 ms 33796 KB Output is correct
23 Runtime error 1321 ms 1048584 KB Execution killed with signal 9
24 Halted 0 ms 0 KB -

Subtask #7
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2892 KB Output is correct
2 Correct 3 ms 2892 KB Output is correct
3 Correct 2 ms 2892 KB Output is correct
4 Correct 3 ms 2896 KB Output is correct
5 Correct 2 ms 2892 KB Output is correct
6 Correct 3 ms 2892 KB Output is correct
7 Correct 2 ms 2892 KB Output is correct
8 Correct 2 ms 2892 KB Output is correct
9 Correct 368 ms 3148 KB Output is correct
10 Correct 373 ms 3148 KB Output is correct
11 Correct 277 ms 3128 KB Output is correct
12 Correct 255 ms 3148 KB Output is correct
13 Correct 177 ms 3104 KB Output is correct
14 Correct 169 ms 3096 KB Output is correct
15 Correct 176 ms 3100 KB Output is correct
16 Correct 197 ms 3104 KB Output is correct
17 Correct 559 ms 34592 KB Output is correct
18 Correct 539 ms 34692 KB Output is correct
19 Correct 535 ms 34344 KB Output is correct
20 Correct 512 ms 34340 KB Output is correct
21 Correct 516 ms 34516 KB Output is correct
22 Correct 542 ms 35076 KB Output is correct
23 Correct 511 ms 34936 KB Output is correct
24 Correct 518 ms 35128 KB Output is correct
25 Correct 582 ms 38212 KB Output is correct
26 Correct 604 ms 40400 KB Output is correct
27 Correct 586 ms 40328 KB Output is correct
28 Correct 603 ms 40976 KB Output is correct
29 Correct 576 ms 40324 KB Output is correct
30 Correct 568 ms 40456 KB Output is correct
31 Correct 577 ms 40248 KB Output is correct
32 Correct 587 ms 40608 KB Output is correct
33 Correct 446 ms 31880 KB Output is correct
34 Correct 293 ms 33636 KB Output is correct
35 Correct 307 ms 25000 KB Output is correct
36 Correct 289 ms 25004 KB Output is correct
37 Correct 294 ms 25136 KB Output is correct
38 Correct 289 ms 24980 KB Output is correct
39 Correct 301 ms 25092 KB Output is correct
40 Correct 291 ms 24984 KB Output is correct
41 Correct 292 ms 25252 KB Output is correct
42 Correct 294 ms 25220 KB Output is correct
43 Correct 291 ms 25036 KB Output is correct
44 Correct 433 ms 32196 KB Output is correct
45 Correct 310 ms 24988 KB Output is correct
46 Correct 241 ms 33044 KB Output is correct
47 Correct 254 ms 33120 KB Output is correct
48 Correct 424 ms 32204 KB Output is correct
49 Correct 428 ms 31504 KB Output is correct
50 Correct 416 ms 31748 KB Output is correct
51 Correct 290 ms 33796 KB Output is correct
52 Correct 291 ms 33784 KB Output is correct
53 Correct 280 ms 33796 KB Output is correct
54 Correct 279 ms 33796 KB Output is correct
55 Runtime error 1321 ms 1048584 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -