#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------

vi adjList[200000],adjList2[200000];
int parent[200000],depth[200000],disc[200000],fin[200000],diff[200001],num = 0;
int mm1[200000],mm2[200000];
int doDFS(int u,int p,int d,int m1,int m2) {
    int i;
    parent[u] = p,depth[u] = d,disc[u] = num++;
    if (u >= m1) m2 = m1,m1 = u;
    else if (u >= m2) m2 = u;
    mm1[u] = m1,mm2[u] = m2;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) adjList2[u].pb(v),doDFS(v,u,d+1,m1,m2);
    }
    fin[u] = num;
    return 0;
}
int main() {
    int i;
    int N,a,b;
    scanf("%d",&N);
    for (i = 0; i < N-1; i++) {
        scanf("%d %d",&a,&b);
        a--,b--;
        adjList[a].pb(b);
        adjList[b].pb(a);
    }

    doDFS(0,-1,0,0,0);
    for (i = N-1; i > 0; i--) {
        int u;
        if (depth[mm2[i]] > depth[mm1[i]]) {
            int l = 0,r = adjList2[mm1[i]].size()-1;
            while (l < r) {
                int m = (l+r+1) / 2;
                if (disc[adjList2[mm1[i]][m]] <= disc[i]) l = m;
                else r = m-1;
            }
            u = adjList2[mm1[i]][l];
        }
        else u = mm1[i];
        /*int u = i,m = i,pm = i,ppm = i,c = 0;
        while (parent[u] != -1) {
            if (parent[u] > m) pm = m,m = parent[u],ppm = u,c = 0;
            else if (parent[u] > pm) c++;
            u = parent[u];
        }
        if (c > 0) u = m;
        else u = ppm;*/
        diff[disc[u]]++,diff[fin[u]]--;
    }
    for (i = 1; i <= N; i++) diff[i] += diff[i-1];
    for (i = 1; i < N; i++) printf("%d ",diff[disc[i]]);
    printf("\n");

    return 0;
}



Measured memory_bytes: 52928