結果

問題 No.2786 RMQ on Grid Path
コンテスト
ユーザー mkawa2
提出日時 2024-06-15 19:06:19
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 3,966 bytes
コンパイル時間 365 ms
コンパイル使用メモリ 82,428 KB
実行使用メモリ 267,952 KB
最終ジャッジ日時 2024-06-15 19:07:15
合計ジャッジ時間 52,153 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 2 WA * 33
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 # 

import sys

# sys.setrecursionlimit(1000006)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 62)

# md = 10**9+7
md = 998244353

class UnionFind:
    def __init__(self, n):
        self._tree = [-1]*n
        # number of connected component
        self.cnt = n

    def root(self, u):
        stack = []
        while self._tree[u] >= 0:
            stack.append(u)
            u = self._tree[u]
        for v in stack: self._tree[v] = u
        return u

    def same(self, u, v):
        return self.root(u) == self.root(v)

    def merge(self, u, v):
        u, v = self.root(u), self.root(v)
        if u == v: return False
        if self._tree[u] > self._tree[v]: u, v = v, u
        self._tree[u] += self._tree[v]
        self._tree[v] = u
        self.cnt -= 1
        return True

    # size of connected component
    def size(self, u):
        return -self._tree[self.root(u)]

class LCA:
    def __init__(self, parent, depth, op, e, weight):
        n = len(parent)
        self._depth = depth
        self._op = op
        self._e = e
        log = max(self._depth).bit_length()
        self._table = [parent]+[[-1]*n for _ in range(log)]
        self._val = [weight]+[[e for _ in range(n)] for _ in range(log)]
        row0 = self._table[0]
        vrow0 = self._val[0]
        for lv in range(log):
            row1 = self._table[lv+1]
            vrow1 = self._val[lv+1]
            for u in range(n):
                if row0[u] == -1: continue
                row1[u] = row0[row0[u]]
                vrow1[u] = op(vrow0[u], vrow0[row0[u]])
            row0 = row1
            vrow0 = vrow1

    def anc(self, u, v):
        diff = self._depth[u]-self._depth[v]
        if diff < 0: u, v = v, u
        diff = abs(diff)
        u, p = self.up(u, diff)
        if u == v: return u, p
        for lv in range(self._depth[u].bit_length()-1, -1, -1):
            anclv = self._table[lv]
            if anclv[u] != anclv[v]:
                p = self._op(p, self._op(self._val[lv][u], self._val[lv][v]))
                u, v = anclv[u], anclv[v]
        return self._table[0][u], p

    def up(self, u, dist):
        lv = 0
        p = self._e
        while dist and u != -1:
            if dist & 1: u, p = self._table[lv][u], self._op(p, self._val[lv][u])
            lv, dist = lv+1, dist >> 1
        return u, p

def dfs(root=0):
    uu, stack = [], [root]
    while stack:
        u = stack.pop()
        uu.append(u)
        for v, c in to[u]:
            if v == parent[u]: continue
            parent[v] = u
            depth[v] = depth[u]+1
            weight[v] = c
            stack.append(v)
    return uu

h, w = LI()
aa = LLI(h)

auv = []
for i in range(h):
    for j, a in enumerate(aa[i]):
        u = i*w+j
        if i:
            b = aa[i-1][j]
            auv.append((max(a, b), u-w, u))
        if j:
            b = aa[i][j-1]
            auv.append((max(a, b), u-1, u))

uf = UnionFind(h*w)
auv.sort(key=lambda x: x[0])
to = [[] for _ in range(h*w)]
for a, u, v in auv:
    if uf.merge(u, v):
        to[u].append((v, a))
        to[v].append((u, a))

n = h*w
parent, depth, weight = [-1]*n, [0]*n, [0]*n
dfs()
lca = LCA(parent, depth, max, 0, weight)

q = II()
st = []
for _ in range(q):
    si, sj, gi, gj = LI1()
    u = si*w+sj
    v = gi*w+gj
    _, ans = lca.anc(u, v)
    print(ans)
0