/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author majk
 */

#ifndef MAJK_LIB
#define MAJK_LIB

#include <vector>
#include <stack>
#include <iostream>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <iomanip>
#include <set>
#include <functional>
#include <fstream>
#include <algorithm>
#include <cassert>
#include <cmath>
#include <string>
#include <sstream>
#include <queue>
#include <array>
#include <bitset>
using namespace std;

#define x first
#define y second
typedef std::pair<int,int> pii; typedef long long ll; typedef unsigned long long ull; typedef unsigned int ui; typedef pair<ui,ui> puu;

template <typename T, typename U> std::istream&operator>>(std::istream&i, pair<T,U>&p) {i >> p.x >> p.y; return i;}
template<typename T>std::istream&operator>>(std::istream&i,vector<T>&t) {for(auto&v:t){i>>v;}return i;}
template <typename T, typename U> std::ostream&operator<<(std::ostream&o, const pair<T,U>&p) {o << p.x << ' ' << p.y; return o;}
template<typename T>std::ostream&operator<<(std::ostream&o,const vector<T>&t) {if(t.empty())o<<'\n';for(size_t i=0;i<t.size();++i){o<<t[i]<<" \n"[i == t.size()-1];}return o;}
template<typename T> using minheap = priority_queue<T, vector<T>, greater<T>>;
template<typename T> using maxheap = priority_queue<T, vector<T>, less<T>>;
template <typename T> bool in(T a, T b, T c) { return a <= b && b < c; }
ui logceil(ll x) { return x?8*sizeof(ll)-__builtin_clzll(x):0; }

namespace std { template<typename T,typename U>struct hash<pair<T,U>>{hash<T>t;hash<U>u;size_t operator()(const pair<T,U>&p)const{return t(p.x)^(u(p.y)<<7);}}; }
template<typename T,typename F>T bsh(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){l=m+1;r=m;}else{h=m-1;}}return r;}
template<typename F> double bshd(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){l=m;}else{h=m;}}return (l+h)/2;}
template<typename T,typename F>T bsl(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){h=m-1;r=m;}else{l=m+1;}}return r;}
template<typename F> double bsld(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){h=m;}else{l=m;}}return (l+h)/2;}
template<typename T> T gcd(T a,T b) { if (a<b) swap(a,b); return b?gcd(b,a%b):a; }

template<typename T>class vector2:public vector<vector<T>>{public:vector2(){} vector2(size_t a,size_t b,T t=T()):vector<vector<T>>(a,vector<T>(b,t)){}};
template<typename T>class vector3:public vector<vector2<T>>{public:vector3(){} vector3(size_t a,size_t b,size_t c,T t=T()):vector<vector2<T>>(a,vector2<T>(b,c,t)){}};
template<typename T>class vector4:public vector<vector3<T>>{public:vector4(){} vector4(size_t a,size_t b,size_t c,size_t d,T t=T()):vector<vector3<T>>(a,vector3<T>(b,c,d,t)){}};
template<typename T>class vector5:public vector<vector4<T>>{public:vector5(){} vector5(size_t a,size_t b,size_t c,size_t d,size_t e,T t=T()):vector<vector4<T>>(a,vector4<T>(b,c,d,e,t)){}};


#endif


template<typename F>struct NoOp{void setup(ui, F){}void op(F&p,F n,ui,ui){p=n;}void down(F&,F&,F&,ui,ui) {}};

template<typename F,typename SetOp,typename PowerOp>struct Lazy{
    void setup(ui s,F def){this->def=def;this->s=s;L=new F[s]();fill(L,L+s,def);}
    void down(F&u,F&l,F&r,ui i,ui s){op(l,L[i],i<<1,s>>1);op(r,L[i],i<<1|1,s>>1);L[i]=def;}
    void op(F&p,F n,ui i,ui s){p=sop(p,pop(n,s));if(i<this->s)this->L[i]=sop(this->L[i],n);}
    SetOp sop;PowerOp pop;F*L;ui s;F def;
};

template <typename F, typename CombineOp, typename ModifyOp = NoOp<F>> struct SegTree {
	void setup(ui s, F def) {
		n = 1<<logceil(s);
		T = vector<F>(2*n, def);
		for (ui i = n-1; i > 0; i--) T[i] = cop(T[i<<1],T[i<<1|1]);
		mop.setup(2*n,def);
	}

	void setup(vector<F> & data, F def = F()) {
		n = 1<<logceil(data.size());
		T = vector<F>(2*n, def);
		copy(data.begin(), data.end(), T.begin() + n);
		for (ui i = n-1; i > 0; i--) T[i] = cop(T[i<<1],T[i<<1|1]);
		mop.setup(2*n,def);
	}

	inline void put(ui x, F n) { put(x, x, n); }
	inline void put(ui from, ui to, F v) { put2(from, to+1, v, 1, n); }
	inline F get(ui x) { return get(x, x); }
	inline F get(ui from, ui to) { return get2(from, to+1, 1, n); }

	void put2(ui from, ui to, F v, ui i, ui s) {
		if (from == 0 && to == s) { mop.op(T[i], v, i, s); return; }
		mop.down(T[i], T[i<<1], T[i<<1|1], i, s);
        s>>=1;i<<=1;
        if (to <= s) { put2(from, to, v, i, s); }
        else if (from >= s) { put2(from-s, to-s, v, i|1, s); }
        else {
            put2(from, s, v, i, s);
            put2(0, to-s, v, i|1, s);
        }
		T[i>>1] = cop(T[i], T[i|1]);
	}

	F get2(ui from, ui to, ui i, ui s) {
        while (true) {
            if (from == 0 && to == s) return T[i];
            mop.down(T[i], T[i << 1], T[i << 1 | 1], i, s);
            s >>= 1;i <<= 1;
            if (to > s) {
                to -= s;
                if (from >= s) { from -= s; i|=1; }
                else return cop(get2(from, s, i, s), get2(0, to, i|1, s));
            }
        }
    }

	ui n;
	vector<F> T;
	CombineOp cop;
    ModifyOp mop;
};


template <typename F> struct AddOp { F operator()(F a, F b) { return a+b; }};
template <typename F> struct MinOp { F operator()(F a, F b) { return std::min(a,b); }};
template <typename F> struct MaxOp { F operator()(F a, F b) { return std::max(a,b); }};
template <typename F> struct MultiplyOp { F operator()(F a, F b) { return a*b; }};
template <typename F> struct MultOp { F operator()(F a, ui b) { return a*b; }};
template <typename F> struct IdempOp { F operator()(F a, ui b) { return a; }};
template <typename F> struct InverseOp { F operator()(F a, F b) { return b?b-a:a; }};

template<typename T> using AddSumTree = SegTree<T, AddOp<T>, Lazy<T, AddOp<T>, MultOp<T>>>;
template<typename T> using AddMaxTree = SegTree<T, MaxOp<T>, Lazy<T, AddOp<T>, IdempOp<T>>>;
template<typename T> using AddMinTree = SegTree<T, MinOp<T>, Lazy<T, AddOp<T>, IdempOp<T>>>;
template<typename T> using AssignMinTree = SegTree<T, MinOp<T>, Lazy<T, MinOp<T>, IdempOp<T>>>;
template<typename T> using AssignMaxTree = SegTree<T, MaxOp<T>, Lazy<T, MaxOp<T>, IdempOp<T>>>;
template<typename T> using XorTree = SegTree<T, AddOp<T>, Lazy<T, InverseOp<T>, MultOp<T>>>;

template<typename T> using SetMinTree = SegTree<T, MinOp<T>>;
template<typename T> using SetMaxTree = SegTree<T, MaxOp<T>>;
template<typename T> using SetMulTree = SegTree<T, MultiplyOp<T>>;


class EWanderingTKHS {
public:
    vector<vector<int>> E,R;
    int N, T;
    vector<int> Enter, Exit, P, C;
    AddSumTree<int> G, H;
    vector<int> W, V;

    void dfs(int u, int p) {
        Enter[u] = T++;
        P[u] = p;
        for (int v : E[u]) if (v != p) dfs(v, u);
        Exit[u] = T;
    }

    void dfsClear(int u) {
        if (G.get(Enter[u]) == 1) {
            G.put(Enter[u], -1);
            for (int v : E[u]) if (v != P[u]) dfsClear(v);
        }
    }

    void dfs2(int u, int mx, int d) {
        mx = max(mx, u);
        V[d] = u;
        W[d] = mx;
        for (int v : E[u]) {
            if (v != P[u]) {
                dfs2(v, mx, d+1);
            }
        }

        if (u != 0) {
            G.put(Enter[u], 1);
            int j = bsh(0, d, [&](int x) { return W[x] < u; });
            R[V[min(d,j+2)]].push_back(u);
        }

        for (int r : R[u]) {
            int tot = G.get(Enter[r], Exit[r]-1);
            C[u] += tot;
            dfsClear(r);
        }
    }

    void dfs3(int u) {
        if (P[u] != -1) {
            C[u] += C[P[u]];
        }
        for (int v : E[u]) if (v != P[u]) dfs3(v);
    }


    void solve(istream& cin, ostream& cout) {
        cin >> N;
        R.resize(N);
        E.resize(N); Enter.resize(N); Exit.resize(N); P.resize(N);
        T = 0;
        for (int i = 0; i < N - 1; ++i) {
            int u, v;
            cin >> u >> v;
            --u;
            --v;
            E[u].push_back(v);
            E[v].push_back(u);
        }
        W.assign(N, 0);
        V.assign(N, 0);
        C.assign(N, 0);
        G.setup(N, 0);
        H.setup(N, 0);
        dfs(0, -1);
        dfs2(0, 0, 0);
        dfs3(0);
        C.erase(C.begin());
        cout << C;
    }
};


int main() {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
	EWanderingTKHS solver;
	std::istream& in(std::cin);
	std::ostream& out(std::cout);
	solver.solve(in, out);
    return 0;
}


Measured memory_bytes: 68600