結果
| 問題 |
No.901 K-ary εxtrεεmε
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2022-04-17 16:31:21 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 950 ms / 3,000 ms |
| コード長 | 2,944 bytes |
| コンパイル時間 | 464 ms |
| コンパイル使用メモリ | 81,792 KB |
| 実行使用メモリ | 130,860 KB |
| 最終ジャッジ日時 | 2024-12-26 10:14:30 |
| 合計ジャッジ時間 | 21,789 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 29 |
ソースコード
class WeightedLCA:
def __init__(self, n, edges, e, ope, root = 0):
self.n = n
self.e = e
self.ope = ope
self.logn = (n - 1).bit_length()
self.root = root
self.depth = [-1] * self.n
self.parent = [[-1] * n for _ in range(self.logn)]
self.weight = [[-1] * n for _ in range(self.logn)]
self.dfs(edges)
self.doubling()
def dfs(self, edges):
stack = [self.root]
self.depth[self.root] = 0
while stack:
pos = stack.pop()
for npos, w in edges[pos]:
if self.depth[npos] != -1:
continue
self.depth[npos] = self.depth[pos] + 1
self.parent[0][npos] = pos
self.weight[0][npos] = w
stack.append(npos)
def doubling(self):
for i in range(1, self.logn):
for j in range(self.n):
if self.parent[i - 1][j] != -1:
p = self.parent[i - 1][j]
self.parent[i][j] = self.parent[i - 1][p]
self.weight[i][j] = self.ope(self.weight[i - 1][j], self.weight[i - 1][p])
def get(self, u, v):
if self.depth[v] < self.depth[u]:
u, v = v, u
du = self.depth[u]
dv = self.depth[v]
ret = self.e
for i in range(self.logn):
if (dv - du) >> i & 1:
ret = self.ope(ret, self.weight[i][v])
v = self.parent[i][v]
if u == v:
return ret, u
for i in range(self.logn - 1, -1, -1):
pu = self.parent[i][u]
pv = self.parent[i][v]
if pu != pv:
ret = self.ope(ret, self.weight[i][u])
ret = self.ope(ret, self.weight[i][v])
u, v = pu, pv
ret = self.ope(ret, self.weight[0][u])
ret = self.ope(ret, self.weight[0][v])
u = self.parent[0][u]
return ret, u
def EulerTour(n, edges, root=0):
L = [-1] * n
R = [0] * n
stack = [(root, 1), (root, 0)]
ind = 0
while stack:
pos, t = stack.pop()
if t == 0:
L[pos] = ind
ind += 1
for npos, _ in edges[pos]:
if L[npos] != -1:
continue
stack.append((npos, 1))
stack.append((npos, 0))
else:
R[pos] = ind
return L, R
n = int(input())
edges = [[] for _ in range(n)]
for _ in range(n - 1):
u, v, w = map(int, input().split())
edges[u].append((v, w))
edges[v].append((u, w))
L, _ = EulerTour(n, edges)
lca = WeightedLCA(n, edges, 0, lambda x, y: x + y)
Q = int(input())
for _ in range(Q):
k, *X = map(int, input().split())
X.sort(key = lambda x:L[x])
ans = 0
for i in range(k):
ans += lca.get(X[i], X[i - 1])[0]
print(ans // 2)