Python并查集Disjoint Set的具体使用

class DisjointSet:
    def __init__(self, size):
        self.parent = [i for i in range(size)]
        self.rank = [0] * size

    def find(self, x):
        if self.parent[x] != x:
            self.parent[x] = self.find(self.parent[x])  # 路径压缩
        return self.parent[x]

    def union(self, x, y):
        root_x = self.find(x)
        root_y = self.find(y)
        if root_x != root_y:
            if self.rank[root_x] < self.rank[root_y]:
                self.parent[root_x] = root_y
            elif self.rank[root_x] > self.rank[root_y]:
                self.parent[root_y] = root_x
            else:
                self.parent[root_x] = root_y
                self.rank[root_y] += 1

# 示例
disjoint_set = DisjointSet(5)
disjoint_set.union(0, 1)
disjoint_set.union(1, 2)
disjoint_set.union(3, 4)

def find(self, x):
    if self.parent[x] != x:
        self.parent[x] = self.find(self.parent[x])  # 路径压缩
    return self.parent[x]

def are_nodes_connected(disjoint_set, node1, node2):
    return disjoint_set.find(node1) == disjoint_set.find(node2)

# 示例
disjoint_set_network = DisjointSet(10)
disjoint_set_network.union(0, 1)
disjoint_set_network.union(1, 2)
disjoint_set_network.union(3, 4)

print(are_nodes_connected(disjoint_set_network, 0, 2))  # 输出: True
print(are_nodes_connected(disjoint_set_network, 0, 3))  # 输出: False