|
| 1 | +import itertools |
| 2 | +import sys |
| 3 | +from collections import defaultdict, deque |
| 4 | + |
| 5 | +read = lambda: sys.stdin.readline().rstrip() |
| 6 | + |
| 7 | + |
| 8 | +class Problem: |
| 9 | + def __init__(self): |
| 10 | + self.n = int(read()) |
| 11 | + |
| 12 | + self.nodes = defaultdict(list[int]) |
| 13 | + for src, dest in [map(lambda x: int(x) - 1, read().split()) for _ in range(self.n - 1)]: |
| 14 | + self.nodes[src].append(dest) |
| 15 | + self.nodes[dest].append(src) |
| 16 | + |
| 17 | + self.queries = [map(lambda x: int(x) - 1, read().split()) for _ in range(int(read()))] |
| 18 | + self.depth, self.parent = self.make_tree() |
| 19 | + |
| 20 | + def solve(self) -> None: |
| 21 | + for x, y in self.queries: |
| 22 | + print(self.lca(x, y) + 1) |
| 23 | + |
| 24 | + def make_tree(self): |
| 25 | + stack, visited = deque([(0, 0)]), {0} |
| 26 | + depth, parent = [0 for _ in range(self.n)], [[0 for _ in range(17)] for _ in range(self.n)] |
| 27 | + |
| 28 | + while stack: |
| 29 | + idx, node = stack.pop() |
| 30 | + depth[node] = idx |
| 31 | + |
| 32 | + for next_node in self.nodes[node]: |
| 33 | + if next_node not in visited: |
| 34 | + stack.append((idx + 1, next_node)) |
| 35 | + visited.add(next_node) |
| 36 | + parent[next_node][0] = node |
| 37 | + |
| 38 | + for k, node in itertools.product(range(1, 17), range(self.n)): |
| 39 | + parent[node][k] = parent[parent[node][k - 1]][k - 1] |
| 40 | + |
| 41 | + return depth, parent |
| 42 | + |
| 43 | + def lca(self, x: int, y: int) -> int: |
| 44 | + if self.depth[x] < self.depth[y]: |
| 45 | + x, y = y, x |
| 46 | + |
| 47 | + for k in range(16, -1, -1): |
| 48 | + if self.depth[x] - (1 << k) >= self.depth[y]: |
| 49 | + x = self.parent[x][k] |
| 50 | + |
| 51 | + if x == y: |
| 52 | + return x |
| 53 | + |
| 54 | + for k in range(16, -1, -1): |
| 55 | + if self.parent[x][k] != self.parent[y][k]: |
| 56 | + x, y = self.parent[x][k], self.parent[y][k] |
| 57 | + |
| 58 | + return self.parent[x][0] |
| 59 | + |
| 60 | + |
| 61 | +if __name__ == "__main__": |
| 62 | + Problem().solve() |
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