from collections import defaultdict


def solve():
    N = int(input())

    E = defaultdict(list)
    for i in range(N - 1):
        x, y = map(int, input().split())
        E[x].append(y)
        E[y].append(x)

    R = [0] * (N + 1)
    L = [float('inf')] * (N + 1)

    visited = set()
    stack = [(1, 0)]
    s = set()
    while stack:
        v, r = stack.pop()
        visited.add(v)
        R[v] = r
        hasc = False
        for c in E[v]:
            if c not in visited:
                stack.append((c, r + 1))
                hasc = True
        if not hasc:
            L[v] = 0
            s.add(v)

    def upd(x, d):
        if L[x] > d:
            L[x] = d
            return True
        return False

    d = 1
    while s:
        ns = set()
        for i in s:
            for j in E[i]:
                if upd(j, d):
                    ns.add(j)
        s = ns
        d += 1

    for i in range(1, N + 1):
        print(min(R[i], L[i]))


if __name__ == '__main__':
    solve()