|
| 1 | +from collections import deque |
| 2 | + |
| 3 | + |
| 4 | +class Solution: |
| 5 | + def __init__(self): |
| 6 | + self.even_1, self.odd_1 = 0, 0 |
| 7 | + self.even_2, self.odd_2 = 0, 0 |
| 8 | + |
| 9 | + def __build_adj_list(self, edges: list[list[int]]) -> list[list[int]]: |
| 10 | + n = len(edges) + 1 |
| 11 | + graph = [[] for _ in range(n)] |
| 12 | + for u, v in edges: |
| 13 | + graph[u].append(v) |
| 14 | + graph[v].append(u) |
| 15 | + return graph |
| 16 | + |
| 17 | + def __bfs_colour(self, graph: list[list[int]], colour: list[int], flag: bool): |
| 18 | + queue = deque([0]) |
| 19 | + colour[0] = 0 |
| 20 | + while queue: |
| 21 | + u = queue.popleft() |
| 22 | + if colour[u] == 0: |
| 23 | + if flag: |
| 24 | + self.even_1 += 1 |
| 25 | + else: |
| 26 | + self.even_2 += 1 |
| 27 | + else: |
| 28 | + if flag: |
| 29 | + self.odd_1 += 1 |
| 30 | + else: |
| 31 | + self.odd_2 += 1 |
| 32 | + for v in graph[u]: |
| 33 | + if colour[v] == -1: |
| 34 | + colour[v] = colour[u] ^ 1 |
| 35 | + queue.append(v) |
| 36 | + |
| 37 | + def maxTargetNodes(self, edges1: list[list[int]], edges2: list[list[int]]) -> list[int]: |
| 38 | + graph1, graph2 = map(self.__build_adj_list, (edges1, edges2)) |
| 39 | + colour_1, colour_2 = [-1] * len(graph1), [-1] * len(graph2) |
| 40 | + self.__bfs_colour(graph1, colour_1, True) |
| 41 | + self.__bfs_colour(graph2, colour_2, False) |
| 42 | + max_target2 = max(self.even_2, self.odd_2) |
| 43 | + return [(self.even_1 if colour_1[node] == 0 else self.odd_1) + max_target2 |
| 44 | + for node in range(len(graph1))] |
| 45 | + |
| 46 | + |
| 47 | +def main(): |
| 48 | + edges1 = [[0, 1], [0, 2], [2, 3], [2, 4]] |
| 49 | + edges2 = [[0, 1], [0, 2], [0, 3], [2, 7], [1, 4], [4, 5], [4, 6]] |
| 50 | + assert Solution().maxTargetNodes(edges1, edges2) == [8, 7, 7, 8, 8] |
| 51 | + |
| 52 | + edges1 = [[0, 1], [0, 2], [0, 3], [0, 4]] |
| 53 | + edges2 = [[0, 1], [1, 2], [2, 3]] |
| 54 | + assert Solution().maxTargetNodes(edges1, edges2) == [3, 6, 6, 6, 6] |
| 55 | + |
| 56 | + |
| 57 | +if __name__ == '__main__': |
| 58 | + main() |
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