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Mar 19th, 2016
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  1. # coding: utf-8
  2. import sys
  3. from queue import *
  4.  
  5. # строим граф из входных данных
  6. def solve_graph(input_list):
  7. vertices_number = input_list[0][0]
  8. root_id = input_list[0][1]
  9. edges_number = vertices_number - 1
  10.  
  11. vertices = []
  12. for i in range(0, vertices_number):
  13. vertices.append({ 'id': i, 'left': None, 'right': None })
  14.  
  15. root_vertice = vertices[root_id]
  16.  
  17. # создаём таблицу «ID вершины → список соседей»
  18. # для больших деревьев с ней где-то в ≈310 раз быстрее
  19. edges = {}
  20. for i in range(1, edges_number + 1):
  21. entry = input_list[i]
  22.  
  23. if entry[0] in edges:
  24. edges[entry[0]].append(entry[1])
  25. else:
  26. edges[entry[0]] = [ entry[1] ]
  27.  
  28. if entry[1] in edges:
  29. edges[entry[1]].append(entry[0])
  30. else:
  31. edges[entry[1]] = [ entry[0] ]
  32.  
  33. arrange_children_wrapper = None
  34.  
  35. # распихаем потомков по слотам
  36. def arrange_children(vertice, vertice_parent_id):
  37. vertice_id = vertice['id']
  38.  
  39. # добавляем потомка в незанятый слот
  40. def add_child(child):
  41. if vertice['left'] == None:
  42. vertice['left'] = child
  43. else:
  44. vertice['right'] = child
  45.  
  46. # быстренько выдёргиваем соседей из той таблицы
  47. if vertice_id in edges:
  48. for i in edges[vertice_id]:
  49. if i != vertice_parent_id:
  50. add_child(vertices[i])
  51.  
  52. # без рекурсии
  53. queue = Queue()
  54.  
  55. current_vertice = root_vertice
  56. current_parent_id = -1
  57.  
  58. while True:
  59. arrange_children(current_vertice, current_parent_id)
  60.  
  61. left = current_vertice['left']
  62. right = current_vertice['right']
  63. current_parent_id = current_vertice['id']
  64.  
  65. if left != None:
  66. current_vertice = left
  67. if right != None:
  68. queue.put(( right, current_parent_id ))
  69. elif right != None:
  70. current_vertice = right
  71. elif not queue.empty():
  72. current_vertice, current_parent_id = queue.get()
  73. else:
  74. break
  75.  
  76. return root_vertice
  77.  
  78. # размер графа (пусть и пострашнее, зато теперь без рекурсии)
  79. def calculate_width(vertice):
  80. if vertice == None: return 0
  81.  
  82. queue = Queue()
  83. current_vertice = vertice
  84.  
  85. width = 0
  86.  
  87. while True:
  88. width = width + 1
  89.  
  90. left = current_vertice['left']
  91. right = current_vertice['right']
  92.  
  93. if left != None:
  94. current_vertice = left
  95. if right != None:
  96. queue.put(right)
  97. elif right != None:
  98. current_vertice = right
  99. elif not queue.empty():
  100. current_vertice = queue.get()
  101. else:
  102. return width
  103.  
  104. def calculate_height(vertice):
  105. if vertice == None: return 0
  106.  
  107. queue = Queue()
  108. current_vertice = vertice
  109. current_height = 0
  110.  
  111. height = 0
  112.  
  113. while True:
  114. current_height = current_height + 1
  115. height = max(height, current_height)
  116.  
  117. left = current_vertice['left']
  118. right = current_vertice['right']
  119.  
  120. if left != None:
  121. current_vertice = left
  122.  
  123. if right != None:
  124. queue.put(( right, current_height ))
  125. elif right != None:
  126. current_vertice = right
  127. elif not queue.empty():
  128. current_vertice, current_height = queue.get()
  129. else:
  130. return height
  131.  
  132. # посчёт ширин каждой вершины
  133. def calculate_widths(root_vertice):
  134. vertices = list()
  135.  
  136. queue = Queue()
  137. current_vertice = root_vertice
  138.  
  139. while True:
  140. vertices.append(current_vertice)
  141.  
  142. left = current_vertice['left']
  143. right = current_vertice['right']
  144.  
  145. if left != None:
  146. current_vertice = left
  147.  
  148. if right != None:
  149. queue.put(right)
  150. elif right != None:
  151. current_vertice = right
  152. elif not queue.empty():
  153. current_vertice = queue.get()
  154. else:
  155. break
  156.  
  157. widths = {}
  158.  
  159. vertices_len = len(vertices) - 1
  160. for i in range(0, vertices_len):
  161. current_vertice = vertices[vertices_len - i]
  162.  
  163. left = current_vertice['left']
  164. right = current_vertice['right']
  165.  
  166. widths[current_vertice['id']] = 1 + (0 if left == None else widths[left['id']]) + (0 if right == None else widths[right['id']])
  167.  
  168. return widths
  169.  
  170. # рекурсивный расчёт координат вершин
  171. def calculate_positions(vertice, offset_x = 0, offset_y = -1):
  172. if vertice == None: return
  173.  
  174. # зачем-то ось Y направлена вверх, «против» графа, так что начнём отсчёт с
  175. # высоты и пойдём наверх
  176. if offset_y == -1: offset_y = calculate_height(vertice) - 1
  177.  
  178. # расчёт ширин заранее, так быстрее
  179. widths = calculate_widths(vertice)
  180.  
  181. queue = Queue()
  182. current_vertice = vertice
  183. current_offset_x = offset_x
  184. current_offset_y = offset_y
  185.  
  186. result = {}
  187.  
  188. while True:
  189. left = current_vertice['left']
  190. right = current_vertice['right']
  191.  
  192. current_x = current_offset_x + (0 if left == None else widths[left['id']])
  193. current_y = current_offset_y
  194. result[current_vertice['id']] = ( current_x, current_y )
  195.  
  196. current_offset_y = current_offset_y - 1
  197.  
  198. if left != None:
  199. if right != None:
  200. queue.put(( right, current_x + 1, current_offset_y ))
  201. current_vertice = left
  202. elif right != None:
  203. current_offset_x = current_x + 1
  204. current_vertice = right
  205. elif not queue.empty():
  206. current_vertice, current_offset_x, current_offset_y = queue.get()
  207. else:
  208. return result
  209.  
  210. # получаем координаты вершины
  211. def get_position_of(vertice, id):
  212. if vertice == None: return None
  213.  
  214. # если координаты ещё не были рассчитаны, рассчитаем
  215. if not 'x' in vertice: calculate_positions(vertice)
  216.  
  217. queue = Queue()
  218. current_vertice = vertice
  219.  
  220. while True:
  221. if current_vertice['id'] == id: return current_vertice['x'], current_vertice['y']
  222.  
  223. left = current_vertice['left']
  224. right = current_vertice['right']
  225.  
  226. if left != None:
  227. current_vertice = left
  228. if right != None:
  229. queue.put(right)
  230. elif right != None:
  231. current_vertice = right
  232. elif not queue.empty():
  233. current_vertice = queue.get()
  234. else:
  235. return None
  236.  
  237. def program():
  238. # читаем из stdin описание графа
  239. input_list = []
  240. edges_number = None
  241. tests_number = None
  242.  
  243. for line in sys.stdin:
  244. if line == None:
  245. print("error: unexpected EOF")
  246. return
  247.  
  248. if len(line) == 0:
  249. continue
  250.  
  251. splitted = [ int(item) for item in line.split() ]
  252.  
  253. # проверка входных данных
  254. if len(splitted) != (3 if edges_number == None else 2):
  255. print("error: not enough numbers: " + str(len(splitted)))
  256. return
  257.  
  258. if edges_number == None:
  259. # первая строка
  260. edges_number = splitted[0] - 1
  261. tests_number = splitted[2]
  262.  
  263. input_list.append(splitted)
  264.  
  265. # читаем лишь первую строку и все рёбра
  266. if len(input_list) == edges_number + 1:
  267. break
  268.  
  269. # создаём граф
  270. root_vertice = solve_graph(input_list)
  271. positions = calculate_positions(root_vertice)
  272.  
  273. # читаем вводимые с клавиатуры данные и сразу выводим результат
  274. for line in sys.stdin:
  275. if line == None:
  276. return
  277.  
  278. if len(line) == 0:
  279. continue
  280.  
  281. required_id = int(line)
  282. position = positions[required_id]
  283. print(str(position[0]) + " " + str(position[1]))
  284.  
  285. tests_number = tests_number - 1
  286. if tests_number == 0:
  287. break
  288.  
  289. program()
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