#include<bits/stdc++.h>
using namespace std ;
#define MAXN 200007
int n ;
vector < int > v[ MAXN ] ;
int used[ MAXN ] ;
int total ;
int subtree[ MAXN ] , d[ MAXN ] ;
int ans[ MAXN ] ;
int mxseen[ MAXN ] ;
void init ( int vertex , int prv ) {
++ total ;
subtree[ vertex ] = 1 ;
for ( auto x : v[ vertex ] ) {
if ( used[ x ] == 1 || x == prv ) { continue ; }
d[ x ] = d[ vertex ] + 1 ;
init ( x , vertex ) ;
subtree[ vertex ] += subtree[ x ] ;
}
}
int get_cen ( int vertex , int prv ) {
for ( auto x : v[ vertex ] ) {
if ( used[ x ] == 1 || x == prv ) { continue ; }
if ( 2 * subtree[ x ] > total ) {
return get_cen ( x , vertex ) ;
}
}
return vertex ;
}
int suff[ MAXN ] ;
int mx_cur[ MAXN ] ;
void dfs ( int vertex , int prv ) {
mx_cur[ subtree[ vertex ] ] = max ( mx_cur[ subtree[ vertex ] ] , d[ vertex ] ) ;
for ( auto x : v[ vertex ] ) {
if ( used[ x ] == 1 || x == prv ) { continue ; }
dfs ( x , vertex ) ;
}
}
void decompose ( int vertex ) {
total = 0 , d[ vertex ] = 0 ;
init ( vertex , -1 ) ;
vertex = get_cen ( vertex , -1 ) ;
total = 0 , d[ vertex ] = 0 ;
init ( vertex , -1 ) ;
used[ vertex ] = 1 ;
for ( int i = 0 ; i <= total ; ++ i ) {
suff[ i ] = -MAXN ;
mx_cur[ i ] = -MAXN ;
}
for ( auto x : v[ vertex ] ) {
if ( used[ x ] == 1 ) { continue ; }
dfs ( x , vertex ) ;
for ( int i = subtree[ x ] + 1 ; i >= 1 ; -- i ) {
mx_cur[ i ] = max ( mx_cur[ i ] , mx_cur[ i + 1 ] ) ;
ans[ i ] = max ( ans[ i ] , mx_cur[ i ] + 1 + suff[ i ] ) ;
suff[ i ] = max ( suff[ i ] , mx_cur[ i ] ) ;
}
for ( int i = 0 ; i <= subtree[ x ] ; ++ i ) {
mx_cur[ i ] = -MAXN ;
}
}
}
void input ( ) {
cin >> n ;
for ( int i = 1 ; i < n ; ++ i ) {
int x , y ;
cin >> x >> y ;
v[ x ].push_back ( y ) ;
v[ y ].push_back ( x ) ;
}
}
void solve ( ) {
decompose ( 1 ) ;
for ( int i = n / 2 ; i >= 1 ; -- i ) {
ans[ i ] = max ( ans[ i ] , ans[ i + 1 ] ) ;
}
for ( int i = 1 ; i <= n ; ++ i ) {
if ( ( i % 2 ) == 1 ) { cout << "1\n" ; }
else { cout << max ( 2 , ans[ i / 2 ] ) << "\n" ; }
}
}
int main ( ) {
ios_base :: sync_with_stdio ( false ) ;
cin.tie ( NULL ) ;
int t = 1 ;
// cin >> t ;
while ( t -- ) {
input ( ) ;
solve ( ) ;
}
return 0 ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5020 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
4948 KB |
Output is correct |
5 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5020 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
4948 KB |
Output is correct |
5 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5020 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
4948 KB |
Output is correct |
5 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |