// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
//#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<int,pii>
#define fi first
#define se second
const int inf=1e9;
const int mod=998244353;
const int maxn=200005;
const int bl=650;
const int maxs=650;
const int maxm=200005;
const int maxq=500005;
const int maxl=20;
const int maxa=1000000;
const int root=3;
const int base=101;
void solve(){
//Input
int n;cin >> n;
vector<vector<pii>> edge(n+1);
vector<int> child(n+1,0),dep(n+1,0),Max(n+1,0);
vector<bool> used(n+1,false);
for(int i=1;i<n;i++){
int u,v;cin >> u >> v;
edge[u].push_back({v,0});
edge[v].push_back({u,0});
}
//Pre_dfs
function<void(int,int)> dfs_sz = [&](int u,int par){
child[u]=1;
for(auto &[v,w]:edge[u]){
if(v==par) continue;
dfs_sz(v,u);child[u]+=child[v];
w=n-child[v];
}
for(auto &[v,w]:edge[u]){
if(v==par) w=child[u];
}
};
dfs_sz(1,0);
{//Centroid Decomposition
int sz;
vector<piii> ver;
function<void(int,int)> dfs = [&](int u,int par){
child[u]=1;
for(auto [v,w]:edge[u]){
if(v==par || used[v]) continue;
dfs(v,u);child[u]+=child[v];
}
};
function<int(int,int)> findcen = [&](int u,int par){
for(auto [v,w]:edge[u]){
if(v==par || used[v]) continue;
if(child[v]>sz/2) return findcen(v,u);
}
return u;
};
function<void(int,int,int,int)> cal = [&](int u,int par,int anc,int s){
int num=-1;dep[u]=dep[par]+1;
for(auto [v,w]:edge[u]){
if(used[v]) continue;
if(v==par){num=w;continue;}
cal(v,u,anc,s);
}
ver.push_back({num,{dep[u],anc}});
Max[2*min(s,num)]=max(Max[2*min(s,num)],dep[u]);
};
function<void(int)> decompose = [&](int u){
dfs(u,0);sz=child[u];
int cen=findcen(u,0);
ver.clear();dep[cen]=0;
for(auto [v,w]:edge[cen]){
if(used[v]) continue;
cal(v,cen,v,w);
}
pii Max1={-inf,-1},Max2={-inf,-1};
sort(ver.begin(),ver.end(),greater<piii>());
for(auto [sz,p]:ver){
if(sz<=n/2){
if(Max1.se!=p.se) Max[2*sz]=max(Max[2*sz],p.fi+Max1.fi);
else Max[2*sz]=max(Max[2*sz],p.fi+Max2.fi);
}
if(p.se==Max1.se) Max1=max(Max1,p);
else if(p.se==Max2.se){
Max2=max(Max2,p);
if(Max2.fi>Max1.fi) swap(Max2,Max1);
}
else if(p>Max1) Max2=Max1,Max1=p;
else if(p>Max2) Max2=p;
}
used[cen]=true;
for(auto [v,w]:edge[cen]){
if(used[v]) continue;
decompose(v);
}
};
decompose(1);
}
for(int i=n-2;i>=1;i--) Max[i]=max(Max[i],Max[i+2]);
for(int i=1;i<=n;i++) cout << Max[i]+1 << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
292 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
292 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
6 ms |
724 KB |
Output is correct |
23 |
Correct |
6 ms |
852 KB |
Output is correct |
24 |
Correct |
5 ms |
668 KB |
Output is correct |
25 |
Correct |
5 ms |
724 KB |
Output is correct |
26 |
Correct |
5 ms |
720 KB |
Output is correct |
27 |
Correct |
7 ms |
724 KB |
Output is correct |
28 |
Correct |
6 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
712 KB |
Output is correct |
30 |
Correct |
5 ms |
772 KB |
Output is correct |
31 |
Correct |
5 ms |
668 KB |
Output is correct |
32 |
Correct |
7 ms |
904 KB |
Output is correct |
33 |
Correct |
6 ms |
980 KB |
Output is correct |
34 |
Correct |
3 ms |
720 KB |
Output is correct |
35 |
Correct |
3 ms |
720 KB |
Output is correct |
36 |
Correct |
6 ms |
724 KB |
Output is correct |
37 |
Correct |
4 ms |
724 KB |
Output is correct |
38 |
Correct |
4 ms |
848 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
292 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
6 ms |
724 KB |
Output is correct |
23 |
Correct |
6 ms |
852 KB |
Output is correct |
24 |
Correct |
5 ms |
668 KB |
Output is correct |
25 |
Correct |
5 ms |
724 KB |
Output is correct |
26 |
Correct |
5 ms |
720 KB |
Output is correct |
27 |
Correct |
7 ms |
724 KB |
Output is correct |
28 |
Correct |
6 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
712 KB |
Output is correct |
30 |
Correct |
5 ms |
772 KB |
Output is correct |
31 |
Correct |
5 ms |
668 KB |
Output is correct |
32 |
Correct |
7 ms |
904 KB |
Output is correct |
33 |
Correct |
6 ms |
980 KB |
Output is correct |
34 |
Correct |
3 ms |
720 KB |
Output is correct |
35 |
Correct |
3 ms |
720 KB |
Output is correct |
36 |
Correct |
6 ms |
724 KB |
Output is correct |
37 |
Correct |
4 ms |
724 KB |
Output is correct |
38 |
Correct |
4 ms |
848 KB |
Output is correct |
39 |
Correct |
530 ms |
20164 KB |
Output is correct |
40 |
Correct |
555 ms |
19840 KB |
Output is correct |
41 |
Correct |
564 ms |
20280 KB |
Output is correct |
42 |
Correct |
522 ms |
20576 KB |
Output is correct |
43 |
Correct |
565 ms |
20588 KB |
Output is correct |
44 |
Correct |
588 ms |
20588 KB |
Output is correct |
45 |
Correct |
809 ms |
26540 KB |
Output is correct |
46 |
Correct |
687 ms |
31888 KB |
Output is correct |
47 |
Correct |
215 ms |
21272 KB |
Output is correct |
48 |
Correct |
189 ms |
22280 KB |
Output is correct |
49 |
Correct |
497 ms |
20668 KB |
Output is correct |
50 |
Correct |
208 ms |
21564 KB |
Output is correct |
51 |
Correct |
453 ms |
29772 KB |
Output is correct |