This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
____ ____ ____ ____ ____ ____
||l |||e |||i |||n |||a |||d ||
||__|||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|/__\|
**/
#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const int maxn = 2e5 + 10;
int n;
vector < int > adj[maxn];
int order[maxn], tin[maxn], tout[maxn];
int timer, depth[maxn], sub[maxn];
void euler(int v, int p)
{
order[++ timer] = v;
tin[v] = timer;
sub[v] = 1;
for (int u : adj[v])
{
if (u == p)
continue;
depth[u] = depth[v] + 1;
euler(u, v);
sub[v] += sub[u];
}
tout[v] = timer;
}
vector < int > path;
int max_chain[maxn], virtual_sub[maxn];
set < pair < int, int > > act[maxn];
void dfs(int v, int p)
{
for (int u : adj[v])
{
if (u == p)
continue;
virtual_sub[v] = n - sub[u];
dfs(u, v);
for (pair < int, int > cur : act[v])
{
set < pair < int, int > > :: iterator it = act[u].lower_bound(cur);
if (it != act[u].end())
{
int id = cur.first * 2;
max_chain[id] = max(max_chain[id], cur.second + it -> second - 2 * depth[v]);
}
}
for (pair < int, int > cur : act[u])
{
set < pair < int, int > > :: iterator it = act[v].lower_bound(cur);
if (it != act[v].end())
{
int id = cur.first * 2;
///cout << "here " << v << " " << id << " " << cur.first << " " << cur.second << endl;
max_chain[id] = max(max_chain[id], cur.second + it -> second - 2 * depth[v]);
}
int vir_sub = n - sub[u];
int id = 2 * min(vir_sub, cur.first);
max_chain[id] = max(max_chain[id], cur.second - depth[v]);
}
for (pair < int, int > cur : act[u])
{
set < pair < int, int > > :: iterator it = act[v].lower_bound(cur);
if (it != act[v].end() && it -> second >= cur.second)
continue;
act[v].insert(cur);
while(true)
{
it = act[v].find(cur);
if (it == act[v].begin())
break;
it = prev(it);
if (it -> second <= cur.second)
act[v].erase(it);
else
break;
}
}
}
pair < int, int > cur = {sub[v], depth[v]};
set < pair < int, int > > :: iterator it = act[v].lower_bound(cur);
if (it != act[v].end() && it -> second >= cur.second)
return;
act[v].insert(cur);
while(true)
{
it = act[v].find(cur);
if (it == act[v].begin())
break;
it = prev(it);
if (it -> second <= cur.second)
act[v].erase(it);
else
break;
}
}
void solve()
{
cin >> n;
for (int i = 1; i < n; i ++)
{
int v, u;
cin >> v >> u;
adj[v].push_back(u);
adj[u].push_back(v);
}
euler(1, 0);
for (int i = 1; i <= n; i ++)
{
max_chain[i] = -1;
}
dfs(1, 0);
for (int i = 1; i <= n; i ++)
{
if (i % 2 == 1)
cout << 1 << endl;
else
cout << max_chain[i] + 1 << endl;
}
}
int main()
{
speed();
solve();
return 0;
}
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