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Provide tags and a correct Python 3 solution for this coding contest problem. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length at most k. An independent set is a set of ...
instruction
0
43,129
13
86,258
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import sys input = sys.stdin.readline from collections import deque class Graph(object): """docstring for Graph""" def __init__(self,n,d): # Number of nodes and d is True if directed self.n = n self.graph ...
output
1
43,129
13
86,259
Provide tags and a correct Python 3 solution for this coding contest problem. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length at most k. An independent set is a set of ...
instruction
0
43,130
13
86,260
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import io import os from collections import Counter, defaultdict, deque import sys sys.setrecursionlimit(10 ** 5 + 1) from types import GeneratorType # https://github.com/cheran-senthil/PyRival/blob/master/py...
output
1
43,130
13
86,261
Provide tags and a correct Python 3 solution for this coding contest problem. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length at most k. An independent set is a set of ...
instruction
0
43,131
13
86,262
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import math import sys from collections import deque from typing import Deque, Dict, List, Optional, Set, Tuple def data(): return sys.stdin.buffer.readline().strip() def mdata(): return list(map(int...
output
1
43,131
13
86,263
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,132
13
86,264
Yes
output
1
43,132
13
86,265
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,133
13
86,266
Yes
output
1
43,133
13
86,267
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,134
13
86,268
Yes
output
1
43,134
13
86,269
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,135
13
86,270
Yes
output
1
43,135
13
86,271
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,136
13
86,272
No
output
1
43,136
13
86,273
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,137
13
86,274
No
output
1
43,137
13
86,275
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,138
13
86,276
No
output
1
43,138
13
86,277
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a connected undirected graph with n vertices and an integer k, you have to either: * either find an independent set that has exactly ⌈k/2⌉ vertices. * or find a simple cycle of length...
instruction
0
43,139
13
86,278
No
output
1
43,139
13
86,279
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,396
13
86,792
Tags: dfs and similar, graphs, trees Correct Solution: ``` from collections import deque class CodeforcesTask580CSolution: def __init__(self): self.result = '' self.n_m = [] self.wrong = [] self.edges = [] def read_input(self): self.n_m = [int(x) for x in input().split...
output
1
43,396
13
86,793
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,397
13
86,794
Tags: dfs and similar, graphs, trees Correct Solution: ``` from queue import Queue MAX = 100005 a = [0] cat = [0] * MAX visited = [False] * MAX head = [None] * MAX #head = [None for _ in range(MAX)] class Node: def __init__(self, v=None, next=None): self.v = v self.next = next def lianjie(x, y): head[x] = Nod...
output
1
43,397
13
86,795
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,398
13
86,796
Tags: dfs and similar, graphs, trees Correct Solution: ``` import sys def input(): return sys.stdin.readline().strip() n, m = map(int, input().split()) a = [int(i) for i in input().split()] edge = [[] for i in range(n)] for i in range(n-1): x, y = map(int, input().split()) edge[x-1].append(y-1) edge[y-1].append(x-...
output
1
43,398
13
86,797
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,399
13
86,798
Tags: dfs and similar, graphs, trees Correct Solution: ``` def dfs(d,lst,n,m): stack = [[0,0]] mark = {i:False for i in range(n)} mark[0]=True res=0 while stack: q = stack.pop() s,a = q[0],q[1] e=0 if lst[s]==1: a+=1 else: if a<=m: ...
output
1
43,399
13
86,799
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,400
13
86,800
Tags: dfs and similar, graphs, trees Correct Solution: ``` n,m=map(int,input().split()) cats=list(map(int,input().split())) q=[[] for i in range(n)] for i in range(n-1): x,y=map(int,input().split()) q[x-1].append(y-1) q[y-1].append(x-1) #0 is start_index,0 is the number of cats initially. query=[(0,0)] l=0 ...
output
1
43,400
13
86,801
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,401
13
86,802
Tags: dfs and similar, graphs, trees Correct Solution: ``` n, m = (map(int, input().split())) a = [int(x) for x in input().split()] a.insert(0, 0) catNumbers = {} tree = {} restCount = 0 def handle(i, prev_i, streak): global restCount, catNumbers, tree, front newStreak = streak + 1 if a[i] else 0 catNumb...
output
1
43,401
13
86,803
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,402
13
86,804
Tags: dfs and similar, graphs, trees Correct Solution: ``` global k n,k=map(int, input().split()) global g global v g = [ [] for i in range(n)] v = list(map(int, input().split())) g[0].append(0) for i in range (n-1): a,b=map(int, input().split()) g[a-1].append(b-1) g[b-1].append(a-1) t=0 q=[[0,0,v[0]]] whil...
output
1
43,402
13
86,805
Provide tags and a correct Python 3 solution for this coding contest problem. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our...
instruction
0
43,403
13
86,806
Tags: dfs and similar, graphs, trees Correct Solution: ``` # recursive too deep might causing stack overflow def go_child(node, path_cat, parent): # check if too more cat m_cat = 0 if cat[node] == 0: m_cat = 0 else: m_cat = path_cat + cat[node] # too more cat then leaves are not achi...
output
1
43,403
13
86,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,404
13
86,808
Yes
output
1
43,404
13
86,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,405
13
86,810
Yes
output
1
43,405
13
86,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,406
13
86,812
Yes
output
1
43,406
13
86,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,407
13
86,814
Yes
output
1
43,407
13
86,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,408
13
86,816
No
output
1
43,408
13
86,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,409
13
86,818
No
output
1
43,409
13
86,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,410
13
86,820
No
output
1
43,410
13
86,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kefa decided to celebrate his first big salary by going to the restaurant. He lives by an unusual park. The park is a rooted tree consisting of n vertices with the root at vertex 1. Vertex 1 a...
instruction
0
43,411
13
86,822
No
output
1
43,411
13
86,823
Provide a correct Python 3 solution for this coding contest problem. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge i connected Vertex a_i and b_i. * The length of each ed...
instruction
0
43,656
13
87,312
"Correct Solution: ``` import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines N = int(readline()) data = list(map(int,read().split())) A = data[:N+N-2:2] B = data[1:N+N-2:2] INF = 10 ** 18 + 100 S = [INF] + data[-N:] graph = [[] for _ in range(N+1)] for a,b...
output
1
43,656
13
87,313
Provide a correct Python 3 solution for this coding contest problem. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge i connected Vertex a_i and b_i. * The length of each ed...
instruction
0
43,657
13
87,314
"Correct Solution: ``` def main(): n = int(input()) ab = [sorted(list(map(int, input().split()))) for _ in [0]*(n-1)] s = list(map(int, input().split())) g = [[] for _ in [0]*n] [g[a-1].append(b-1) for a, b in ab] [g[b-1].append(a-1) for a, b in ab] root = 0 # 根 d = [-1]*n # 根からの距離 ...
output
1
43,657
13
87,315
Provide a correct Python 3 solution for this coding contest problem. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge i connected Vertex a_i and b_i. * The length of each ed...
instruction
0
43,658
13
87,316
"Correct Solution: ``` import sys sys.setrecursionlimit(10**8) N=int(input()) G=[[] for i in range(N)] E=[] ans=[0]*(N-1) for i in range(N-1): a,b=map(int,input().split()) G[a-1].append((b-1,i)) G[b-1].append((a-1,i)) s=[int(i) for i in input().split()] n=[0]*N visited=[False]*N def size(x): res=1 visited[x]=...
output
1
43,658
13
87,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge...
instruction
0
43,659
13
87,318
No
output
1
43,659
13
87,319
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge...
instruction
0
43,660
13
87,320
No
output
1
43,660
13
87,321
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke found a record of a tree with N vertices in ancient ruins. The findings are as follows: * The vertices of the tree were numbered 1,2,...,N, and the edges were numbered 1,2,...,N-1. * Edge...
instruction
0
43,661
13
87,322
No
output
1
43,661
13
87,323
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,845
13
87,690
Tags: dfs and similar, dp, trees Correct Solution: ``` from collections import defaultdict from sys import stdin, setrecursionlimit import threading input = stdin.buffer.readline def work(): res = 0 ans = 0 setrecursionlimit(1 << 18) n = int(input()) a = list(map(int, input().split())) a.inser...
output
1
43,845
13
87,691
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,846
13
87,692
Tags: dfs and similar, dp, trees Correct Solution: ``` '''t=int(input()) while(t): t-=1 n,k=[int(x) for x in input().split()] s="" while(len(s)!=n): i=0 while(i<k): if len(s)==n: break s+=chr(97+i) i+=1 print(s)''' '''n=int(input()...
output
1
43,846
13
87,693
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,847
13
87,694
Tags: dfs and similar, dp, trees Correct Solution: ``` import os import sys from io import BytesIO, IOBase from types import GeneratorType from collections import defaultdict BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = Byt...
output
1
43,847
13
87,695
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,848
13
87,696
Tags: dfs and similar, dp, trees Correct Solution: ``` import traceback import sys sys.setrecursionlimit(200010) try: # alpha = "abcdefghijklmnopqrstuvwxyz" n = int(input()) a = [0] a.extend(list(map(int, input().split()))) D = [[] for i in range(n+1)] for i in range(n-1): e1,e2 = (map...
output
1
43,848
13
87,697
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,849
13
87,698
Tags: dfs and similar, dp, trees Correct Solution: ``` import io,os from collections import deque input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline class Node: def __init__(self,val): self.val = int(val) self.cul = 0 self.child = set() self.path = {} def __str__(self):...
output
1
43,849
13
87,699
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,850
13
87,700
Tags: dfs and similar, dp, trees Correct Solution: ``` import sys from collections import deque from types import GeneratorType sys.setrecursionlimit(200000) input = sys.stdin.readline def bootstrap(f, stack=[]): def wrappedfunc(*args, **kwargs): if stack: return f(*args, **kwargs) else:...
output
1
43,850
13
87,701
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,851
13
87,702
Tags: dfs and similar, dp, trees Correct Solution: ``` from sys import stdin,setrecursionlimit n = int(stdin.readline()) ay = [int(x) for x in stdin.readline().split()] graph = [set() for x in range(n)] for e in range(n-1): a,b = [int(x)-1 for x in stdin.readline().split()] graph[a].add(b) graph[b].add(...
output
1
43,851
13
87,703
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the distance between the vertices x and y. The distance...
instruction
0
43,852
13
87,704
Tags: dfs and similar, dp, trees Correct Solution: ``` """ Satwik_Tiwari ;) . 30th AUGUST , 2020 - SUNDAY """ #=============================================================================================== #importing some useful libraries. from __future__ import division, print_function from fractions impor...
output
1
43,852
13
87,705
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,853
13
87,706
Yes
output
1
43,853
13
87,707
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,854
13
87,708
Yes
output
1
43,854
13
87,709
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,855
13
87,710
Yes
output
1
43,855
13
87,711
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,856
13
87,712
No
output
1
43,856
13
87,713
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,857
13
87,714
No
output
1
43,857
13
87,715
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,858
13
87,716
No
output
1
43,858
13
87,717
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting exactly of n vertices. Tree is a connected undirected graph with n-1 edges. Each vertex v of this tree has a value a_v assigned to it. Let dist(x, y) be the dist...
instruction
0
43,859
13
87,718
No
output
1
43,859
13
87,719
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree with n nodes and q queries. Every query starts with three integers k, m and r, followed by k nodes of the tree a_1, a_2, …, a_k. To answer a query, assume that the tree is ...
instruction
0
43,860
13
87,720
No
output
1
43,860
13
87,721
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree with n nodes and q queries. Every query starts with three integers k, m and r, followed by k nodes of the tree a_1, a_2, …, a_k. To answer a query, assume that the tree is ...
instruction
0
43,861
13
87,722
No
output
1
43,861
13
87,723