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Submission #877192

# Submission time Handle Problem Language Result Execution time Memory
877192 2023-11-23T03:14:51 Z fanwen Rigged Roads (NOI19_riggedroads) C++17
100 / 100
 309 ms 53152 KB 
#include <bits/stdc++.h>

using namespace std;
int dd[300005];
int sz[300005],cha[300005];
int head[300005];
int sauhld[300005];
int pos[300005],maxx[300005];
int timee;
vector<int>g[300005];
pair<int,int>tree[600005];
int lim=300000;
void upd(int p,int value,int pos) {
        p--;
  for (tree[p += lim] ={value,pos}; p > 1; p >>= 1) tree[p>>1] =min(tree[p] , tree[p^1]);
}
pair<int,int>query(int l, int r) {
pair<int,int>res={1e9,0};
if(l>r)return res;
  l--;
  for (l += lim, r += lim; l < r; l >>= 1, r >>= 1) {
    if (l&1) res = min(res,tree[l++]);
    if (r&1) res = min(res,tree[--r]);
  }
  return res;
}
int vt[300005];
struct canh
{
int u,v,c;
}e[300005];
int db[300005];
int id[300005];
int n,m;
void dfs(int u,int pa)
{
sz[u]=1;
cha[u]=pa;
maxx[u]=0;
int vtmax=0;
for(int i=0;i<g[u].size();i++)
if(g[u][i]!=pa)
{
int v=g[u][i];
dfs(v,u);
sz[u]+=sz[v];
if(sz[v]>maxx[u]){vtmax=i;maxx[u]=sz[v];}
}
swap(g[u][0],g[u][vtmax]);
}
void hld(int u)
{
timee++;pos[u]=timee;
vt[timee]=u;
for(int i=0;i<g[u].size();i++)
{
int v=g[u][i];
if(cha[v]==u)
{
if(2*sz[v]>=sz[u]&&i==0)
{
head[v]=head[u];
sauhld[v]=sauhld[u];
}
else
{
head[v]=v;
sauhld[v]=sauhld[u]+1;
}
hld(v);
}
}}
bool cmp(int a,int b)
{
return id[a]<id[b];
}
int cur=0;
void update(int u, int v)
{
vector<int>vec;
if(sauhld[u]<sauhld[v])swap(u,v);
while(sauhld[u]>sauhld[v])
{
while(1)
{
auto[c,uu]=query(pos[head[u]],pos[u]);
if(c==1e9)break;
vec.push_back(uu);
upd(pos[uu],1e9,0);
}
u=cha[head[u]];
}
while(head[u]!=head[v])
{
while(1)
{
auto[c,uu]=query(pos[head[u]],pos[u]);
if(c==1e9)break;
vec.push_back(uu);
upd(pos[uu],1e9,0);
}
u=cha[head[u]];
while(1)
{
auto[c,uu]=query(pos[head[v]],pos[v]);
if(c==1e9)break;
vec.push_back(uu);
upd(pos[uu],1e9,0);
}v=cha[head[v]];
}
if(pos[u]<pos[v])swap(u,v);
while(1)
{
auto[c,uu]=query(pos[v]+1,pos[u]);
if(c==1e9)break;
vec.push_back(uu);
upd(pos[uu],1e9,0);
}
sort(vec.begin(),vec.end(),cmp);
for(auto vv:vec)
{
e[id[vv]].c=cur+1;cur++;
}
}
int main()
{

ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++)
{
cin>>e[i].u>>e[i].v;
}
for(int i=1;i<n;i++)
{
cin>>db[i];
dd[db[i]]=1;
g[e[db[i]].u].push_back(e[db[i]].v);
g[e[db[i]].v].push_back(e[db[i]].u);
}
sauhld[1]=head[1]=1;
dfs(1,0);
hld(1);
for(int i=2;i<=n;i++)upd(pos[i],0,i);
for(int i=1;i<n;i++)
{
auto[u,v,_]=e[db[i]];
if(u==cha[v])swap(u,v);
id[u]=db[i];
}
for(int i=1;i<=m;i++)
{
auto[u,v,_]=e[i];
if(dd[i]==1)
{
if(u==cha[v])swap(u,v);
if(query(pos[u],pos[u]).first==0){e[i].c=cur+1;cur++;upd(pos[u],1e9,0);}
}
else
{
update(u,v);
e[i].c=cur+1;
cur++;
}
}
for(int i=1;i<=m;i++)cout<<e[i].c<<" ";
    return 0;
}

Compilation message

riggedroads.cpp: In function 'void dfs(int, int)':
riggedroads.cpp:41:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 | for(int i=0;i<g[u].size();i++)
      |             ~^~~~~~~~~~~~
riggedroads.cpp: In function 'void hld(int)':
riggedroads.cpp:55:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 | for(int i=0;i<g[u].size();i++)
      |             ~^~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 26972 KB Output is correct
2 Correct 4 ms 26972 KB Output is correct
3 Correct 4 ms 26972 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 26972 KB Output is correct
2 Correct 4 ms 26972 KB Output is correct
3 Correct 4 ms 26972 KB Output is correct
4 Correct 4 ms 26968 KB Output is correct
5 Correct 4 ms 27128 KB Output is correct
6 Correct 4 ms 27480 KB Output is correct
7 Correct 4 ms 26972 KB Output is correct
8 Correct 4 ms 26972 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 31612 KB Output is correct
2 Correct 83 ms 32792 KB Output is correct
3 Correct 65 ms 29668 KB Output is correct
4 Correct 144 ms 38780 KB Output is correct
5 Correct 171 ms 39284 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 39552 KB Output is correct
2 Correct 53 ms 31824 KB Output is correct
3 Correct 29 ms 29504 KB Output is correct
4 Correct 63 ms 36420 KB Output is correct
5 Correct 25 ms 31068 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 223 ms 47508 KB Output is correct
2 Correct 216 ms 53152 KB Output is correct
3 Correct 54 ms 34544 KB Output is correct
4 Correct 71 ms 38120 KB Output is correct
5 Correct 270 ms 51484 KB Output is correct

Subtask #6
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 143 ms 43192 KB Output is correct
2 Correct 80 ms 38484 KB Output is correct
3 Correct 309 ms 47696 KB Output is correct
4 Correct 244 ms 45468 KB Output is correct
5 Correct 19 ms 28252 KB Output is correct

Subtask #7
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 26972 KB Output is correct
2 Correct 4 ms 26972 KB Output is correct
3 Correct 4 ms 26972 KB Output is correct
4 Correct 4 ms 26968 KB Output is correct
5 Correct 4 ms 27128 KB Output is correct
6 Correct 4 ms 27480 KB Output is correct
7 Correct 4 ms 26972 KB Output is correct
8 Correct 4 ms 26972 KB Output is correct
9 Correct 52 ms 31612 KB Output is correct
10 Correct 83 ms 32792 KB Output is correct
11 Correct 65 ms 29668 KB Output is correct
12 Correct 144 ms 38780 KB Output is correct
13 Correct 171 ms 39284 KB Output is correct
14 Correct 85 ms 39552 KB Output is correct
15 Correct 53 ms 31824 KB Output is correct
16 Correct 29 ms 29504 KB Output is correct
17 Correct 63 ms 36420 KB Output is correct
18 Correct 25 ms 31068 KB Output is correct
19 Correct 223 ms 47508 KB Output is correct
20 Correct 216 ms 53152 KB Output is correct
21 Correct 54 ms 34544 KB Output is correct
22 Correct 71 ms 38120 KB Output is correct
23 Correct 270 ms 51484 KB Output is correct
24 Correct 143 ms 43192 KB Output is correct
25 Correct 80 ms 38484 KB Output is correct
26 Correct 309 ms 47696 KB Output is correct
27 Correct 244 ms 45468 KB Output is correct
28 Correct 19 ms 28252 KB Output is correct
29 Correct 282 ms 45604 KB Output is correct
30 Correct 292 ms 43548 KB Output is correct
31 Correct 258 ms 40244 KB Output is correct
32 Correct 90 ms 30432 KB Output is correct
33 Correct 278 ms 41724 KB Output is correct