結果
| 問題 | No.3348 Tree Balance |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2026-06-04 21:11:40 |
| 言語 | PyPy3 (7.3.17) |
| 結果 |
AC
|
| 実行時間 | 1,446 ms / 5,000 ms |
| コード長 | 2,116 bytes |
| 記録 | |
| コンパイル時間 | 411 ms |
| コンパイル使用メモリ | 85,376 KB |
| 実行使用メモリ | 160,008 KB |
| 最終ジャッジ日時 | 2026-06-04 21:11:59 |
| 合計ジャッジ時間 | 13,899 ms |
|
ジャッジサーバーID (参考情報) |
judge1_0 / judge2_1 |
| 純コード判定待ち |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| other | AC * 25 |
ソースコード
import sys
import bisect
sys.setrecursionlimit(10 ** 6)
def solve():
it = iter(sys.stdin.buffer.read().split())
n = int(next(it))
w = [0] * (n + 1)
for i in range(1, n + 1):
w[i] = int(next(it))
g = [[] for _ in range(n + 1)]
for _ in range(n - 1):
u = int(next(it))
v = int(next(it))
g[u].append(v)
g[v].append(u)
sub = [0] * (n + 1)
tin = [0] * (n + 1)
tout = [0] * (n + 1)
tmr = 0
stk = [(1, 0, 0)]
par = [0] * (n + 1)
while stk:
v, p, state = stk.pop()
if state == 0:
par[v] = p
tin[v] = tmr
tmr += 1
stk.append((v, p, 1))
for u in reversed(g[v]):
if u != p:
stk.append((u, v, 0))
else:
sub[v] = w[v]
for u in g[v]:
if u != p:
sub[v] += sub[u]
tout[v] = tmr - 1
total = sub[1]
ans = 10 ** 30
a = [(sub[i], i) for i in range(2, n + 1)]
a.sort()
vs = [x[0] for x in a]
def inside(u, v):
return tin[v] <= tin[u] <= tout[v]
for v in range(2, n + 1):
s = sub[v]
rest = total - s
tgt = s // 2
idx = bisect.bisect_left(vs, tgt)
for j in range(max(0, idx - 5), min(len(vs), idx + 6)):
y = vs[j]
u = a[j][1]
if u == v:
continue
if not inside(u, v):
continue
b = [y, s - y, rest]
b.sort()
cur = b[2] - b[0]
if cur < ans:
ans = cur
tgt = rest // 2
idx = bisect.bisect_left(vs, tgt)
for j in range(max(0, idx - 5), min(len(vs), idx + 6)):
y = vs[j]
u = a[j][1]
if inside(u, v) or inside(v, u):
continue
if y > rest:
continue
b = [s, y, rest - y]
b.sort()
cur = b[2] - b[0]
if cur < ans:
ans = cur
print(ans)
if __name__ == '__main__':
solve()