結果
問題 | No.1641 Tree Xor Query |
ユーザー | ansain |
提出日時 | 2021-08-06 22:35:39 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 384 ms / 5,000 ms |
コード長 | 6,926 bytes |
コンパイル時間 | 202 ms |
コンパイル使用メモリ | 81,920 KB |
実行使用メモリ | 146,772 KB |
最終ジャッジ日時 | 2024-09-17 02:44:52 |
合計ジャッジ時間 | 3,708 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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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 | 42 ms
55,040 KB |
testcase_01 | AC | 42 ms
54,528 KB |
testcase_02 | AC | 42 ms
54,912 KB |
testcase_03 | AC | 42 ms
55,552 KB |
testcase_04 | AC | 43 ms
55,808 KB |
testcase_05 | AC | 43 ms
56,064 KB |
testcase_06 | AC | 43 ms
55,552 KB |
testcase_07 | AC | 45 ms
55,168 KB |
testcase_08 | AC | 49 ms
54,912 KB |
testcase_09 | AC | 42 ms
55,808 KB |
testcase_10 | AC | 42 ms
55,680 KB |
testcase_11 | AC | 42 ms
55,040 KB |
testcase_12 | AC | 40 ms
55,424 KB |
testcase_13 | AC | 384 ms
146,772 KB |
testcase_14 | AC | 384 ms
146,120 KB |
testcase_15 | AC | 102 ms
78,976 KB |
testcase_16 | AC | 153 ms
82,432 KB |
testcase_17 | AC | 160 ms
80,752 KB |
testcase_18 | AC | 106 ms
79,232 KB |
testcase_19 | AC | 113 ms
78,012 KB |
testcase_20 | AC | 335 ms
137,720 KB |
ソースコード
import sys from collections import defaultdict, Counter, deque from itertools import chain, permutations, combinations, product, combinations_with_replacement, groupby, accumulate import operator from math import sqrt, gcd, factorial #from math import isqrt, prod, comb #python3.8用(notpypy) #from bisect import bisect_left, bisect_right #from functools import lru_cache, reduce from operator import xor #from heapq import heappush, heappop, heapify, heappushpop, heapreplace #import numpy as np #import networkx as nx #from networkx.utils import UnionFind #from numba import njit, b1, i1, i4, i8, f8 #numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1 #from scipy.sparse import csr_matrix #from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError, maximum_bipartite_matching, maximum_flow, minimum_spanning_tree def input(): return sys.stdin.readline().rstrip() def divceil(n, k): return 1+(n-1)//k # n/kの切り上げを返す def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no) from collections import deque #ライブラリ参照https://judge.yosupo.jp/submission/45650 class SparceTable: def __init__(self, A, op=min): self.op = op self.table = [None]*(len(A).bit_length()) # [i, i+2^k)のop self.table[0] = A pre_table = A k = 0 for k in range(len(A).bit_length()-1): pre_table = self.table[k] self.table[k+1] = [op(pre_table[i], pre_table[i+(1 << k)]) for i in range(len(pre_table)-(1 << k))] k += 1 # [l, r)のop def query(self, l, r): k = (r-l).bit_length()-1 return self.op(self.table[k][l], self.table[k][r-(1 << k)]) def make_children_parents(n, edges, root=0): graph = [[] for _ in range(n)] for a, b in edges: graph[a].append(b) graph[b].append(a) parents = [-1]*n children= [[] for _ in range(n)] d = deque() d.append(root) parents[root]=root while d: v = d.popleft() for i in graph[v]: if parents[i] != -1: continue parents[i] = v children[v].append(i) d.append(i) return children,parents def euler_tour(N, children, parents, root=0): et_order = [None]*(2*N) t_in, t_out, depth = [None]*N, [None]*N, [None]*N q = [~root, root] t, d = 0, 0 while q: u = q.pop() if u >= 0: # 行きがけの処理 depth[u] = d d += 1 # 記録 et_order[t] = (u, depth[u]) t_in[u] = t t += 1 # 探索先を追加 for v in children[u][::-1]: q.append(~v) q.append(v) else: # 帰りがけの処理 d -= 1 # 記録 et_order[t] = (u, depth[parents[~u]]) t_out[~u] = t t += 1 return et_order, t_in , t_out,depth # ライブラリ参照https://atcoder.jp/contests/practice2/submissions/16580070 class SegmentTree: __slots__ = ["func", "e", "original_size", "n", "data"] def __init__(self, length_or_list, func=max, e=-10**18): self.func = func self.e = e if isinstance(length_or_list, int): self.original_size = length_or_list self.n = 1 << ((length_or_list - 1).bit_length()) self.data = [self.e] * (self.n*2) else: self.original_size = len(length_or_list) self.n = 1 << ((self.original_size - 1).bit_length()) self.data = [self.e] * self.n + length_or_list + \ [self.e] * (self.n - self.original_size) for i in range(self.n-1, 0, -1): self.data[i] = self.func(self.data[2*i], self.data[2*i+1]) def replace(self, index, value): index += self.n self.data[index] = value index //= 2 while index > 0: self.data[index] = self.func( self.data[2*index], self.data[2*index+1]) index //= 2 def folded(self, l, r): left_folded = self.e right_folded = self.e l += self.n r += self.n while l < r: if l % 2: left_folded = self.func(left_folded, self.data[l]) l += 1 if r % 2: r -= 1 right_folded = self.func(self.data[r], right_folded) l //= 2 r //= 2 return self.func(left_folded, right_folded) def all_folded(self): return self.data[1] def __getitem__(self, index): return self.data[self.n + index] def max_right(self, l, f): # assert f(self.e) if l >= self.original_size: return self.original_size l += self.n left_folded = self.e while True: # l //= l & -l while l % 2 == 0: l //= 2 if not f(self.func(left_folded, self.data[l])): while l < self.n: l *= 2 if f(self.func(left_folded, self.data[l])): left_folded = self.func(left_folded, self.data[l]) l += 1 return l - self.n left_folded = self.func(left_folded, self.data[l]) l += 1 if l == l & -l: break return self.original_size # 未verify def min_left(self, r, f): # assert f(self.e) if r == 0: return 0 r += self.n right_folded = self.e while True: r //= r & -r if not f(self.func(self.data[r], right_folded)): while r < self.n: r = 2 * r + 1 if f(self.func(self.data[r], right_folded)): right_folded = self.func(self.data[r], right_folded) r -= 1 return r + 1 - self.n if r == r & -r: break return 0 def main(): mod = 10**9+7 mod2 = 998244353 n,q=map(int, input().split()) c=list(map(int, input().split())) children,parents=make_children_parents(n,[list(map(lambda x: int(x)-1, input().split())) for i in range(n-1)],0) order,tin,tout,depth=euler_tour(n,children,parents,0) tree=[0]*len(order) for i in range(n): tree[tin[i]]=c[i] seg=SegmentTree(tree,xor,0) for i in range(q): t,x,y=map(int, input().split()) x-=1 if t==1: seg.replace(tin[x],seg[tin[x]]^y) else: print(seg.folded(tin[x],tout[x])) if __name__ == '__main__': main()