from collections import deque
from dataclasses import dataclass, field
import sys
@dataclass
class Node:
neighbors: set[int] = field(default_factory=set)
class NodeGraph:
def __init__(self, size: int) -> None:
self.nodes: list[Node] = [Node() for _ in range(size)]
self.size = size
def add_binding(self, first_index: int, second_index: int) -> None:
self.nodes[first_index].neighbors.add(second_index)
self.nodes[second_index].neighbors.add(first_index)
def add_bindings(self, first_index: int, second_indexes: list[int] | set[int]) -> None:
for second_index in second_indexes:
self.add_binding(first_index, second_index)
def remove_binding(self, first_index: int, second_index: int) -> None:
self.nodes[first_index].neighbors.discard(second_index)
self.nodes[second_index].neighbors.discard(first_index)
def remove_bindings(self, first_index: int, second_indexes: list[int] | set[int]) -> None:
for second_index in second_indexes:
self.remove_binding(first_index, second_index)
def get_missing_nodes_on_bfs_path(first_particle: NodeGraph) -> list[int]:
queue = deque()
visited = [False] * first_particle.size
visit_order: list[int] = []
visited[0] = True
queue.append(0)
while queue:
current_index = queue.popleft()
for node_index in first_particle.nodes[current_index].neighbors:
if not visited[node_index]:
visited[node_index] = True
queue.append(node_index)
if node_index not in first_particle.nodes[0].neighbors:
visit_order.append(node_index)
return visit_order
def solve(first_particle: NodeGraph, second_particle: NodeGraph) -> None:
sum_of_changes: int = 0
leader_node_0_bindings_added: list[int] = get_missing_nodes_on_bfs_path(first_particle)
sum_of_changes += len(leader_node_0_bindings_added)
first_particle.add_bindings(0, leader_node_0_bindings_added)
first_particle_bindings_added: list[set[int]] = []
for index in range(1, first_particle.size):
need_to_be_added: set[int] = second_particle.nodes[index].neighbors.difference(first_particle.nodes[index].neighbors)
need_to_be_added.discard(index)
sum_of_changes += len(need_to_be_added)
first_particle_bindings_added.append(need_to_be_added)
first_particle.add_bindings(index, need_to_be_added)
first_particle_bindings_removed: list[set[int]] = []
for index in range(1, first_particle.size):
need_to_be_removed: set[int] = first_particle.nodes[index].neighbors.difference(second_particle.nodes[index].neighbors)
# Node 0 was choosen as leader so it will be removed as last
need_to_be_removed.discard(0)
need_to_be_removed.discard(index)
sum_of_changes += len(need_to_be_removed)
first_particle_bindings_removed.append(need_to_be_removed)
first_particle.remove_bindings(index, need_to_be_removed)
leader_node_0_bindings_removed: set[int] = first_particle.nodes[0].neighbors.difference(second_particle.nodes[0].neighbors)
leader_node_0_bindings_removed.discard(0)
sum_of_changes += len(leader_node_0_bindings_removed)
first_particle.remove_bindings(0, leader_node_0_bindings_removed)
print(sum_of_changes)
for binding in leader_node_0_bindings_added:
print(f"+ 1 {binding + 1}")
for index, bindings in enumerate(first_particle_bindings_added):
for binding in bindings:
print(f"+ {index + 2} {binding + 1}")
for index, bindings in enumerate(first_particle_bindings_removed):
for binding in bindings:
print(f"- {index + 2} {binding + 1}")
for binding in leader_node_0_bindings_removed:
print(f"- 1 {binding + 1}")
def main() -> None:
tokens: list[str] = []
for line in sys.stdin:
stripped = line.strip()
if not stripped: break
tokens += stripped.split()
tokens_iter = iter(tokens)
number_of_atoms: int = int(next(tokens_iter))
first_particle: NodeGraph = NodeGraph(number_of_atoms)
first_particle_number_of_bindings: int = int(next(tokens_iter))
for _ in range(first_particle_number_of_bindings):
first_atom_index: int = int(next(tokens_iter)) - 1
second_atom_index: int = int(next(tokens_iter)) - 1
first_particle.add_binding(first_atom_index, second_atom_index)
second_particle: NodeGraph = NodeGraph(number_of_atoms)
second_particle_number_of_bindings: int = int(next(tokens_iter))
for _ in range(second_particle_number_of_bindings):
first_atom_index: int = int(next(tokens_iter)) - 1
second_atom_index: int = int(next(tokens_iter)) - 1
second_particle.add_binding(first_atom_index, second_atom_index)
solve(first_particle, second_particle)
if __name__ == "__main__":
main()
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 | from collections import deque from dataclasses import dataclass, field import sys @dataclass class Node: neighbors: set[int] = field(default_factory=set) class NodeGraph: def __init__(self, size: int) -> None: self.nodes: list[Node] = [Node() for _ in range(size)] self.size = size def add_binding(self, first_index: int, second_index: int) -> None: self.nodes[first_index].neighbors.add(second_index) self.nodes[second_index].neighbors.add(first_index) def add_bindings(self, first_index: int, second_indexes: list[int] | set[int]) -> None: for second_index in second_indexes: self.add_binding(first_index, second_index) def remove_binding(self, first_index: int, second_index: int) -> None: self.nodes[first_index].neighbors.discard(second_index) self.nodes[second_index].neighbors.discard(first_index) def remove_bindings(self, first_index: int, second_indexes: list[int] | set[int]) -> None: for second_index in second_indexes: self.remove_binding(first_index, second_index) def get_missing_nodes_on_bfs_path(first_particle: NodeGraph) -> list[int]: queue = deque() visited = [False] * first_particle.size visit_order: list[int] = [] visited[0] = True queue.append(0) while queue: current_index = queue.popleft() for node_index in first_particle.nodes[current_index].neighbors: if not visited[node_index]: visited[node_index] = True queue.append(node_index) if node_index not in first_particle.nodes[0].neighbors: visit_order.append(node_index) return visit_order def solve(first_particle: NodeGraph, second_particle: NodeGraph) -> None: sum_of_changes: int = 0 leader_node_0_bindings_added: list[int] = get_missing_nodes_on_bfs_path(first_particle) sum_of_changes += len(leader_node_0_bindings_added) first_particle.add_bindings(0, leader_node_0_bindings_added) first_particle_bindings_added: list[set[int]] = [] for index in range(1, first_particle.size): need_to_be_added: set[int] = second_particle.nodes[index].neighbors.difference(first_particle.nodes[index].neighbors) need_to_be_added.discard(index) sum_of_changes += len(need_to_be_added) first_particle_bindings_added.append(need_to_be_added) first_particle.add_bindings(index, need_to_be_added) first_particle_bindings_removed: list[set[int]] = [] for index in range(1, first_particle.size): need_to_be_removed: set[int] = first_particle.nodes[index].neighbors.difference(second_particle.nodes[index].neighbors) # Node 0 was choosen as leader so it will be removed as last need_to_be_removed.discard(0) need_to_be_removed.discard(index) sum_of_changes += len(need_to_be_removed) first_particle_bindings_removed.append(need_to_be_removed) first_particle.remove_bindings(index, need_to_be_removed) leader_node_0_bindings_removed: set[int] = first_particle.nodes[0].neighbors.difference(second_particle.nodes[0].neighbors) leader_node_0_bindings_removed.discard(0) sum_of_changes += len(leader_node_0_bindings_removed) first_particle.remove_bindings(0, leader_node_0_bindings_removed) print(sum_of_changes) for binding in leader_node_0_bindings_added: print(f"+ 1 {binding + 1}") for index, bindings in enumerate(first_particle_bindings_added): for binding in bindings: print(f"+ {index + 2} {binding + 1}") for index, bindings in enumerate(first_particle_bindings_removed): for binding in bindings: print(f"- {index + 2} {binding + 1}") for binding in leader_node_0_bindings_removed: print(f"- 1 {binding + 1}") def main() -> None: tokens: list[str] = [] for line in sys.stdin: stripped = line.strip() if not stripped: break tokens += stripped.split() tokens_iter = iter(tokens) number_of_atoms: int = int(next(tokens_iter)) first_particle: NodeGraph = NodeGraph(number_of_atoms) first_particle_number_of_bindings: int = int(next(tokens_iter)) for _ in range(first_particle_number_of_bindings): first_atom_index: int = int(next(tokens_iter)) - 1 second_atom_index: int = int(next(tokens_iter)) - 1 first_particle.add_binding(first_atom_index, second_atom_index) second_particle: NodeGraph = NodeGraph(number_of_atoms) second_particle_number_of_bindings: int = int(next(tokens_iter)) for _ in range(second_particle_number_of_bindings): first_atom_index: int = int(next(tokens_iter)) - 1 second_atom_index: int = int(next(tokens_iter)) - 1 second_particle.add_binding(first_atom_index, second_atom_index) solve(first_particle, second_particle) if __name__ == "__main__": main() |
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