結果

問題 No.1094 木登り / Climbing tree
ユーザー 👑 rin204rin204
提出日時 2022-03-23 15:52:22
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,644 ms / 2,000 ms
コード長 2,388 bytes
コンパイル時間 315 ms
コンパイル使用メモリ 82,472 KB
実行使用メモリ 168,248 KB
最終ジャッジ日時 2024-04-19 23:53:13
合計ジャッジ時間 21,797 ms
ジャッジサーバーID
(参考情報)
judge6 / judge2
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 37 ms
53,004 KB
testcase_01 AC 1,417 ms
167,808 KB
testcase_02 AC 309 ms
166,016 KB
testcase_03 AC 423 ms
81,752 KB
testcase_04 AC 489 ms
116,172 KB
testcase_05 AC 649 ms
155,776 KB
testcase_06 AC 845 ms
103,808 KB
testcase_07 AC 1,464 ms
167,936 KB
testcase_08 AC 1,450 ms
167,876 KB
testcase_09 AC 1,443 ms
167,808 KB
testcase_10 AC 1,493 ms
167,552 KB
testcase_11 AC 1,448 ms
167,532 KB
testcase_12 AC 1,475 ms
168,248 KB
testcase_13 AC 1,464 ms
167,996 KB
testcase_14 AC 1,442 ms
167,616 KB
testcase_15 AC 783 ms
96,008 KB
testcase_16 AC 1,043 ms
145,628 KB
testcase_17 AC 905 ms
116,904 KB
testcase_18 AC 850 ms
107,100 KB
testcase_19 AC 983 ms
132,300 KB
testcase_20 AC 1,546 ms
167,996 KB
testcase_21 AC 942 ms
119,928 KB
testcase_22 AC 1,496 ms
167,668 KB
testcase_23 AC 1,447 ms
167,964 KB
testcase_24 AC 1,444 ms
167,840 KB
testcase_25 AC 1,424 ms
167,860 KB
testcase_26 AC 1,644 ms
167,960 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

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(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
            

n = int(input())
edges = [[] for _ in range(n)]
for _ in range(n - 1):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    edges[a].append((b, c))
    edges[b].append((a, c))

lca = WeightedLCA(n, edges, 0, lambda x, y: x + y)

Q = int(input())
for _ in range(Q):
    u, v = map(int, input().split())
    print(lca.get(u - 1, v - 1)[0])
0