#include <cstdio>
#include <cstring>
#include <vector>
#include <utility>
#include <queue>
using namespace std;

typedef pair<int, int> P;

const int kMAX_N = 100010;

int dim[kMAX_N];
int x[kMAX_N - 1], y[kMAX_N - 1];

int R[kMAX_N], L[kMAX_N];

int N;

vector<int> graph[kMAX_N];

void BFS(int start, int init, int cost[]) {
    fill(cost, cost + kMAX_N, -1);

    queue<P> que;   // (頂点, 距離)
    cost[start] = init;
    que.push(P(start, init));
    while (!que.empty()) {
        P node = que.front(); que.pop();
        for (int i = 0; i < graph[node.first].size(); i++) {
            int to = graph[node.first][i];
            if (cost[to] < 0) {
                cost[to] = node.second + 1;
                que.push(P(to, cost[to]));
            }
        }
    }
}

void Solve() {
    for (int i = 0; i < N - 1; i++) {
        printf("i %d\n", i);
        graph[x[i] - 1].push_back(y[i] - 1);
        graph[y[i] - 1].push_back(x[i] - 1);

        dim[x[i] - 1]++; dim[y[i] - 1]++;
    }

    int stab = N;
    for (int i = 0; i < N; i++) {
        if (i != 0 && dim[i] == 1) {    // 葉
            graph[i].push_back(stab);
            graph[stab].push_back(i);
        }
    }
    
    // 根とスタブから幅優先
    BFS(0, 0, R);
    BFS(stab, -1, L);

    for (int i = 0; i < N; i++) {
        printf("%d\n", min(R[i], L[i]));
    }
}

int main() {
    scanf("%d", &N);

    for (int i = 0; i < N - 1; i++) {
        scanf("%d%d", &x[i], &y[i]);
    }

    Solve();

    return 0;
}