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    PYTHON ACCURATE SOLUTION

    import math import os import random import re import sys from collections import Counter

    def farVertices(n, k, edges): tree = {} for edge in edges: tree[edge[0],edge[1]] = 1 tree[edge[1],edge[0]] = 1 tree_paths = len(tree) cont_flag = True while cont_flag: for edge in edges: matches = {x:y for x,y in tree.items() if edge[1] == x[0]} for match in matches.keys(): if (edge[0],match[1]) not in tree.keys() and edge[0] != match[1]: tree[edge[0],match[1]] = matches[match] + 1 tree[match[1],edge[0]] = matches[match] + 1 matches = {x:y for x,y in tree.items() if edge[0] == x[1]} for match in matches.keys(): if (edge[1],match[0]) not in tree.keys() and edge[1] != match[0]: tree[edge[1],match[0]] = matches[match] + 1 tree[match[0],edge[1]] = matches[match] + 1 if len(tree) == tree_paths: cont_flag = False tree_paths = len(tree) removed = 0 cont_flag = True while cont_flag: matches = [x[0] for x,y in tree.items() if y>k] if len(matches)==0: cont_flag = False else: removed += 1 match_count = Counter(matches) maxcount = max([y for x,y in match_count.items()]) match_max = [x for x,y in match_count.items() if y==maxcount] remove_node = match_max[0] nodes_to_remove = [x for x in tree.keys() if x[0]==remove_node or x[1]==remove_node] print(nodes_to_remove) for node in nodes_to_remove: del tree[node] return removed

    if name == 'main': fptr = open(os.environ['OUTPUT_PATH'], 'w')

    first_multiple_input = input().rstrip().split()
    
    n = int(first_multiple_input[0])
    
    k = int(first_multiple_input[1])
    
    edges = []
    
    for _ in range(n - 1):
        edges.append(list(map(int, input().rstrip().split())))
    
    result = farVertices(n, k, edges)
    
    fptr.write(str(result) + '\n')
    
    fptr.close()