|
| 1 | +from __future__ import annotations |
| 2 | +from dataclasses import dataclass |
| 3 | +from typing import List |
| 4 | + |
| 5 | + |
| 6 | +@dataclass |
| 7 | +class Node: |
| 8 | + name: str |
| 9 | + rating: int |
| 10 | + parent: Node = None |
| 11 | + left_child: Node = None |
| 12 | + right_sib: Node = None |
| 13 | + |
| 14 | + |
| 15 | +def get_guest_list(root: Node, table: dict | None = None) -> tuple[list[Node], int]: |
| 16 | + # If DP table not yet initialized, initialize DP table |
| 17 | + if table is None: |
| 18 | + table = {} |
| 19 | + |
| 20 | + if root == None: |
| 21 | + # if root is None, return an empty guest list and a rating of 0 |
| 22 | + return [], 0 |
| 23 | + elif root.name in table: |
| 24 | + # if the best guest list for this root has been calculated already, return it |
| 25 | + return table[root.name] |
| 26 | + |
| 27 | + # Assume best guest list include the root, so start with the root's info |
| 28 | + guests = [root] |
| 29 | + ratings = root.rating |
| 30 | + |
| 31 | + # Check the best guest lists of the child nodes, which can't necessarily be used in |
| 32 | + # a list containing the root due to the root being an immediate superior |
| 33 | + child_guests, child_ratings = get_guest_list(root.left_child, table) |
| 34 | + |
| 35 | + # The siblings CAN be used with the root node, as there is no supervisor/employee |
| 36 | + # relationship to account for |
| 37 | + sibling_guests, sibling_ratings = get_guest_list(root.right_sib, table) |
| 38 | + |
| 39 | + # Get best lists of grandchildren nodes, wherever possible, as they aren't immediate |
| 40 | + # employees of the root supervisor |
| 41 | + root_child = root.left_child |
| 42 | + while root_child != None: |
| 43 | + if root_child.left_child != None: |
| 44 | + grandchild_guests, grandchild_ratings = get_guest_list( |
| 45 | + root_child.left_child, table) |
| 46 | + guests += grandchild_guests |
| 47 | + ratings += grandchild_ratings |
| 48 | + |
| 49 | + root_child = root_child.right_sib |
| 50 | + |
| 51 | + # We can include sibling lists with our root and children lists, since the direct sibling of |
| 52 | + # the root has no significant relationship with either |
| 53 | + # guests += sibling_guests |
| 54 | + # ratings += sibling_ratings |
| 55 | + # child_guests += sibling_guests |
| 56 | + # child_ratings += sibling_ratings |
| 57 | + |
| 58 | + # For this root, choose the rating-maximized list, which is either the list that contains |
| 59 | + # this node, or the list that includes the children of this node |
| 60 | + if child_ratings > ratings: |
| 61 | + if root.name not in table: |
| 62 | + table[root.name] = (child_guests + sibling_guests, |
| 63 | + child_ratings+sibling_ratings) |
| 64 | + return child_guests + sibling_guests, child_ratings+sibling_ratings |
| 65 | + else: |
| 66 | + if root.name not in table: |
| 67 | + table[root.name] = (guests + sibling_guests, |
| 68 | + ratings+sibling_ratings) |
| 69 | + return guests + sibling_guests, ratings+sibling_ratings |
| 70 | + |
| 71 | + |
| 72 | +computed_nodes: dict = {} |
| 73 | +list_sums = {} |
| 74 | + |
| 75 | + |
| 76 | +def get_guest_list_v2(node: Node | None, level: int = 0) -> int: |
| 77 | + if node == None: |
| 78 | + return 0 |
| 79 | + # grandchildren sum vs child sums |
| 80 | + # first compute grandchild sums + grandchild right sums, then compute children sums |
| 81 | + max_sum = node.rating |
| 82 | + if node.left_child is not None: # GRANDCHILDREN SUM |
| 83 | + # if it has a left child, access it's grandchildren sum |
| 84 | + max_sum += get_guest_list_v2( |
| 85 | + node.left_child.left_child, level + 2) |
| 86 | + if node.left_child is not None: # gather grandchild sums from left child |
| 87 | + max_sum = max(max_sum, get_guest_list_v2(node.left_child, level + 1)) |
| 88 | + if node.right_sib: # RIGHT CHILD SUM |
| 89 | + # if it doesn't have a grandchild, access it's right sib sum, that sums up the grandchild sum of the right children |
| 90 | + max_sum = get_guest_list_v2(node.right_sib, level) |
| 91 | + print(node.name) |
| 92 | + print(level, max_sum) |
| 93 | + return max_sum |
| 94 | + |
| 95 | + |
| 96 | +def print_guest_list(guests: list[Node]) -> None: |
| 97 | + print(f"TOTAL RATING: {sum(guest.rating for guest in guests)}") |
| 98 | + print("GUESTS:") |
| 99 | + for guest in guests: |
| 100 | + print(guest.name, guest.rating) |
| 101 | + |
| 102 | + |
| 103 | +if __name__ == "__main__": |
| 104 | + |
| 105 | + # ####################### MAKE FIRST TESTING TREE ####################### |
| 106 | + # root_1 = Node("A", 10) |
| 107 | + |
| 108 | + # for i in range(3): |
| 109 | + # name = chr(ord("B")+i) |
| 110 | + # lvl_1 = Node(name, 2+i, parent=root_1) |
| 111 | + |
| 112 | + # grand2 = Node(name+"2", 1, parent=lvl_1) |
| 113 | + # grand1 = Node(name+"1", 1, parent=lvl_1, right_sib=grand2) |
| 114 | + |
| 115 | + # great_grand1 = Node(name+"11", 1, parent=grand1) |
| 116 | + # great_grand2 = Node(name+"22", 1, parent=grand2) |
| 117 | + |
| 118 | + # grand1.left_child = great_grand1 |
| 119 | + # grand2.left_child = great_grand2 |
| 120 | + |
| 121 | + # lvl_1.left_child = grand1 |
| 122 | + |
| 123 | + # if root_1.left_child == None: |
| 124 | + # root_1.left_child = lvl_1 |
| 125 | + # else: |
| 126 | + # level = root_1.left_child |
| 127 | + # while level.right_sib != None: |
| 128 | + # level = level.right_sib |
| 129 | + |
| 130 | + # level.right_sib = lvl_1 |
| 131 | + |
| 132 | + ####################### MAKE SECOND TESTING TREE ####################### |
| 133 | + root_2 = Node("A", 1) |
| 134 | + |
| 135 | + for i in range(3): |
| 136 | + name = chr(ord("B")+i) |
| 137 | + lvl_1 = Node(name, 5+i, parent=root_2) # C |
| 138 | + |
| 139 | + val = 10 if i % 2 == 0 else 1 |
| 140 | + grand2 = Node(name+"2", val, parent=lvl_1) # C2 |
| 141 | + grand1 = Node(name+"1", val, parent=lvl_1, right_sib=grand2) # C1 |
| 142 | + |
| 143 | + great_grand1 = Node(name+"11", 1, parent=grand1) # C11 |
| 144 | + great_grand2 = Node(name+"22", 1, parent=grand2) # C22 |
| 145 | + |
| 146 | + grand1.left_child = great_grand1 |
| 147 | + grand2.left_child = great_grand2 |
| 148 | + |
| 149 | + lvl_1.left_child = grand1 |
| 150 | + |
| 151 | + if root_2.left_child == None: |
| 152 | + root_2.left_child = lvl_1 |
| 153 | + else: |
| 154 | + level = root_2.left_child |
| 155 | + while level.right_sib != None: |
| 156 | + level = level.right_sib |
| 157 | + |
| 158 | + level.right_sib = lvl_1 |
| 159 | + |
| 160 | + #print(great_grand1.name, great_grand1.right_sib) |
| 161 | + |
| 162 | + guests, ratings = get_guest_list_v2(root_2) |
| 163 | + print(ratings) |
| 164 | + print_guest_list(guests) |
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