#include <bits/stdc++.h>
#define mp make_pair
#define pb push_back
#define X first
#define Y second
#define y0 y12
#define y1 y22
#define INF 1987654321
#define PI 3.141592653589793238462643383279502884
#define fup(i,a,b,c) for(int (i)=(a);(i)<=(b);(i)+=(c))
#define fdn(i,a,b,c) for(int (i)=(a);(i)>=(b);(i)-=(c))
#define MEM0(a) memset((a),0,sizeof(a))
#define MEM_1(a) memset((a),-1,sizeof(a))
#define ALL(a) a.begin(),a.end()
#define COMPRESS(a) sort(ALL(a));a.resize(unique(ALL(a))-a.begin())
#define SYNC ios_base::sync_with_stdio(false);cin.tie(0)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int, int> Pi;
typedef pair<ll, ll> Pll;
typedef pair<db, db> Pd;
typedef vector<int> Vi;
typedef vector<ll> Vll;
typedef vector<ld> Vd;
typedef vector<Pi> VPi;
typedef vector<Pll> VPll;
typedef vector<Pd> VPd;
typedef tuple<int, int, int> iii;
typedef tuple<int, int, int, int> iiii;
typedef tuple<ll, ll, ll> LLL;
typedef vector<iii> Viii;
typedef vector<LLL> VLLL;
typedef complex<double> base;
const int MOD = 1000000007;
ll POW(ll a, ll b, ll MMM = MOD) { ll ret = 1; for (; b; b >>= 1, a = (a*a) % MMM)if (b & 1)ret = (ret*a) % MMM; return ret; }
int dx[] = { 0,1,0,-1,1,1,-1,-1 }, dy[] = { 1,0,-1,0,1,-1,1,-1 };
int ddx[] = { -1,-2,1,-2,2,-1,2,1 }, ddy[] = { -2,-1,-2,1,-1,2,1,2 };
Vi v[200001];
Vi vv[200001];
int dist[200001];
int bfs(int N){
MEM_1(dist);
queue<int> q;
q.push(N);
dist[N]=0;
int last;
while(!q.empty()){
int x=q.front();
q.pop();
last=x;
for(int y:vv[x]){
if(dist[y]==-1){
dist[y]=dist[x]+1;
q.push(y);
}
}
}
return last;
}
int get_dia(int N){
int t=bfs(N);
t=bfs(t);
return dist[t];
}
int cnt[200001];
void dfs(int N,int p=-1){
cnt[N]=1;
for(int next:v[N]){
if(next==p)continue;
dfs(next,N);
cnt[N]+=cnt[next];
}
}
int cc,n;
void dfs2(int N,int k,int p=-1){
for(int next:v[N]){
if(next==p)continue;
if(cnt[next]>=k && n-cnt[next]>=k){
cc=N;
vv[N].pb(next);
vv[next].pb(N);
}
dfs2(next,k,N);
}
}
int main(){
scanf("%d",&n);
fup(i,1,n-1,1){
int x,y;
scanf("%d%d",&x,&y);
v[x].pb(y);
v[y].pb(x);
}
dfs(1);
fup(i,1,n,1){
if(i&1)puts("1");
else{
fup(ii,1,n,1)vv[ii].clear();
dfs2(1,i/2);
printf("%d\n",get_dia(cc)+1);
}
}
}
