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from typing import Iterable
import sys

class Tree(object):
    # https://stackoverflow.com/a/28015122
    def __init__(self, name='root', children=None):
        self.name = name
        self.children = []
        self.parent = None
        if children is not None:
            for child in children:
                self.add_child(child)
    def add_child(self, node):
        self.children.append(node)
        node.parent = self

    def __eq__(self, other):
        if isinstance(other, Tree):
            return self.name == other.name
        return False
    def parents(self):
        return [self.parent] + self.parent.parents() if self.parent != None\
                else []

lines = open("../input/06", "r").readlines()

trees = {}
seen = set()  # seen trees. contains only IDs
leafs = {}

for orbit in lines:
    orbit = orbit.rstrip().split(")")
    #print(orbit)
    if not orbit[0] in seen:
        trees[orbit[0]] = Tree(orbit[0])
        seen.add(orbit[0])

# hook up each child to its parent (since every parent now exists)
for orbit in lines:
    orbit = orbit.rstrip().split(")")
    if orbit[1] in seen:
        trees[orbit[0]].add_child(trees[orbit[1]])
    else:
        leafs[orbit[1]] = Tree(orbit[1])
        trees[orbit[0]].add_child(leafs[orbit[1]])
for k in trees:
    pass
    #print(trees[k], trees[k].children)

trees.update(leafs)

sum_depths = 0
depth = 0
depths = {}
def count_children(tree, depth):
    global sum_depths  # fusk-rekursion? ville bara att det skulle fungera
    sum_depths += depth
    depths[tree.name] = depth
    for child in tree.children:
        count_children(child, depth+1)
count_children(trees["COM"], 0) 
print("1:", sum_depths)

# find common parent and distance to it
src_parents = trees["YOU"].parent.parents()
tar_parents = trees["SAN"].parent.parents()
src_dist = 0
for src_parent in src_parents:
    src_dist += 1
    tar_dist = 0
    for tar_parent in tar_parents:
        tar_dist += 1
        if src_parent == tar_parent:
            print("2:", src_parent.name, src_dist, tar_dist, src_dist + tar_dist)
            sys.exit()