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Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,484
13
82,968
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os;from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): _default = default;self._func = func;self._len = len(data);self._size = _size = 1 << (self._len - 1)...
output
1
41,484
13
82,969
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,485
13
82,970
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io import os from collections import Counter, defaultdict, deque # https://raw.githubusercontent.com/cheran-senthil/PyRival/master/pyrival/data_structures/LazySegmentTree.py class LazySegmentTree: def __init__(self, data, default=0, f...
output
1
41,485
13
82,971
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,486
13
82,972
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os;from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): _default = default;self._func = func;self._len = len(data);self._size = _size = 1 << (self._len - 1)...
output
1
41,486
13
82,973
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,487
13
82,974
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): _default = default self._func = func self._len = len(data) self._size = _s...
output
1
41,487
13
82,975
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,488
13
82,976
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): _default = default self._func = func self._len = len(data) self._size = _s...
output
1
41,488
13
82,977
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 vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: ...
instruction
0
41,489
13
82,978
No
output
1
41,489
13
82,979
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 vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: ...
instruction
0
41,490
13
82,980
No
output
1
41,490
13
82,981
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 vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: ...
instruction
0
41,491
13
82,982
No
output
1
41,491
13
82,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is a little bear who learns to draw. People usually start with houses, fences and flowers but why would bears do it? Limak lives in the forest and he decides to draw a tree. Recall that t...
instruction
0
41,637
13
83,274
No
output
1
41,637
13
83,275
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is a little bear who learns to draw. People usually start with houses, fences and flowers but why would bears do it? Limak lives in the forest and he decides to draw a tree. Recall that t...
instruction
0
41,638
13
83,276
No
output
1
41,638
13
83,277
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is a little bear who learns to draw. People usually start with houses, fences and flowers but why would bears do it? Limak lives in the forest and he decides to draw a tree. Recall that t...
instruction
0
41,639
13
83,278
No
output
1
41,639
13
83,279
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is a little bear who learns to draw. People usually start with houses, fences and flowers but why would bears do it? Limak lives in the forest and he decides to draw a tree. Recall that t...
instruction
0
41,640
13
83,280
No
output
1
41,640
13
83,281
Provide a correct Python 3 solution for this coding contest problem. We have a tree G with N vertices numbered 1 to N. The i-th edge of G connects Vertex a_i and Vertex b_i. Consider adding zero or more edges in G, and let H be the graph resulted. Find the number of graphs H that satisfy the following conditions, mo...
instruction
0
41,853
13
83,706
"Correct Solution: ``` import sys input = sys.stdin.readline mod=998244353 N=int(input()) E=[[] for i in range(N+1)] for i in range(N-1): x,y=map(int,input().split()) E[x].append(y) E[y].append(x) Q=[1] D=[-1]*(N+1) D[1]=0 while Q: x=Q.pop() for to in E[x]: if D[to]==-1: D[to]...
output
1
41,853
13
83,707
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a tree G with N vertices numbered 1 to N. The i-th edge of G connects Vertex a_i and Vertex b_i. Consider adding zero or more edges in G, and let H be the graph resulted. Find the numb...
instruction
0
41,854
13
83,708
No
output
1
41,854
13
83,709
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a tree G with N vertices numbered 1 to N. The i-th edge of G connects Vertex a_i and Vertex b_i. Consider adding zero or more edges in G, and let H be the graph resulted. Find the numb...
instruction
0
41,855
13
83,710
No
output
1
41,855
13
83,711
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a tree G with N vertices numbered 1 to N. The i-th edge of G connects Vertex a_i and Vertex b_i. Consider adding zero or more edges in G, and let H be the graph resulted. Find the numb...
instruction
0
41,856
13
83,712
No
output
1
41,856
13
83,713
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a tree G with N vertices numbered 1 to N. The i-th edge of G connects Vertex a_i and Vertex b_i. Consider adding zero or more edges in G, and let H be the graph resulted. Find the numb...
instruction
0
41,857
13
83,714
No
output
1
41,857
13
83,715
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha travels around Mars in the Mars rover. But suddenly it broke down, namely — the logical scheme inside it. The scheme is an undirected tree (connected acyclic graph) with a root in the vertex 1, in which every leaf (excluding root) is...
instruction
0
42,107
13
84,214
Tags: dfs and similar, graphs, implementation, trees Correct Solution: ``` AND = "AND" OR = "OR" XOR = "XOR" NOT = "NOT" IN = "IN" OPS = { AND: AND, OR: OR, XOR: XOR, NOT: NOT, } class Node: def __init__(self, num): self.num = num self.op = None self.parent = None ...
output
1
42,107
13
84,215
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha travels around Mars in the Mars rover. But suddenly it broke down, namely — the logical scheme inside it. The scheme is an undirected tree (connected acyclic graph) with a root in the vertex 1, in which every leaf (excluding root) is...
instruction
0
42,108
13
84,216
Tags: dfs and similar, graphs, implementation, trees Correct Solution: ``` import sys input=sys.stdin.readline n=int(input()) stack=[] children=[] for i in range(n): children.append([]) parent=[-1]*n nodes=[-1]*n inputs=[] functions=[-1]*n for i in range(n): a=list(map(str,input().split())) r=a[0] if r=='IN': ...
output
1
42,108
13
84,217
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bytelandian Tree Factory produces trees for all kinds of industrial applications. You have been tasked with optimizing the production of a certain type of tree for an especially large and import...
instruction
0
42,185
13
84,370
No
output
1
42,185
13
84,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bytelandian Tree Factory produces trees for all kinds of industrial applications. You have been tasked with optimizing the production of a certain type of tree for an especially large and import...
instruction
0
42,186
13
84,372
No
output
1
42,186
13
84,373
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bytelandian Tree Factory produces trees for all kinds of industrial applications. You have been tasked with optimizing the production of a certain type of tree for an especially large and import...
instruction
0
42,187
13
84,374
No
output
1
42,187
13
84,375
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bytelandian Tree Factory produces trees for all kinds of industrial applications. You have been tasked with optimizing the production of a certain type of tree for an especially large and import...
instruction
0
42,188
13
84,376
No
output
1
42,188
13
84,377
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have a directed acyclic graph G, consisting of n vertexes, numbered from 0 to n - 1. The graph contains n edges numbered from 0 to n - 1. An edge with number i connects vertexes i and (i + 1...
instruction
0
42,419
13
84,838
No
output
1
42,419
13
84,839
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have a directed acyclic graph G, consisting of n vertexes, numbered from 0 to n - 1. The graph contains n edges numbered from 0 to n - 1. An edge with number i connects vertexes i and (i + 1...
instruction
0
42,420
13
84,840
No
output
1
42,420
13
84,841
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have a directed acyclic graph G, consisting of n vertexes, numbered from 0 to n - 1. The graph contains n edges numbered from 0 to n - 1. An edge with number i connects vertexes i and (i + 1...
instruction
0
42,421
13
84,842
No
output
1
42,421
13
84,843
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have a directed acyclic graph G, consisting of n vertexes, numbered from 0 to n - 1. The graph contains n edges numbered from 0 to n - 1. An edge with number i connects vertexes i and (i + 1...
instruction
0
42,422
13
84,844
No
output
1
42,422
13
84,845
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure. Unfortunately, Rostislav...
instruction
0
42,527
13
85,054
Yes
output
1
42,527
13
85,055
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure. Unfortunately, Rostislav...
instruction
0
42,531
13
85,062
No
output
1
42,531
13
85,063
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure. Unfortunately, Rostislav...
instruction
0
42,532
13
85,064
No
output
1
42,532
13
85,065
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob have a tree (undirected acyclic connected graph). There are ai chocolates waiting to be picked up in the i-th vertex of the tree. First, they choose two different vertices as their...
instruction
0
42,535
13
85,070
No
output
1
42,535
13
85,071
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob have a tree (undirected acyclic connected graph). There are ai chocolates waiting to be picked up in the i-th vertex of the tree. First, they choose two different vertices as their...
instruction
0
42,536
13
85,072
No
output
1
42,536
13
85,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob have a tree (undirected acyclic connected graph). There are ai chocolates waiting to be picked up in the i-th vertex of the tree. First, they choose two different vertices as their...
instruction
0
42,537
13
85,074
No
output
1
42,537
13
85,075
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edges belonging to this path (if some edge is traversed m...
instruction
0
42,574
13
85,148
No
output
1
42,574
13
85,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edges belonging to this path (if some edge is traversed m...
instruction
0
42,575
13
85,150
No
output
1
42,575
13
85,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edges belonging to this path (if some edge is traversed m...
instruction
0
42,576
13
85,152
No
output
1
42,576
13
85,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edges belonging to this path (if some edge is traversed m...
instruction
0
42,577
13
85,154
No
output
1
42,577
13
85,155
Provide tags and a correct Python 3 solution for this coding contest problem. Someone give a strange birthday present to Ivan. It is hedgehog — connected undirected graph in which one vertex has degree at least 3 (we will call it center) and all other vertices has degree 1. Ivan thought that hedgehog is too boring and...
instruction
0
42,928
13
85,856
Tags: dfs and similar, graphs, shortest paths Correct Solution: ``` from collections import deque n, k = list(map(int, input().split())) G = [set() for _ in range(n + 1)] q, nq = deque(), deque() for _ in range(n - 1): u, v = list(map(int, input().split())) G[u].add(v) G[v].add(u) for u in range(1, n +...
output
1
42,928
13
85,857
Provide tags and a correct Python 3 solution for this coding contest problem. Someone give a strange birthday present to Ivan. It is hedgehog — connected undirected graph in which one vertex has degree at least 3 (we will call it center) and all other vertices has degree 1. Ivan thought that hedgehog is too boring and...
instruction
0
42,929
13
85,858
Tags: dfs and similar, graphs, shortest paths Correct Solution: ``` from collections import deque n,k = map(int,input().split()) d = {} for i in range(n): d[i+1] = set() for i in range(n-1): u,v = map(int,input().split()) d[u].add(v) d[v].add(u) dist = {} prev = {} dist[1] = 0 q = deque() q.append(1) wh...
output
1
42,929
13
85,859
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Someone give a strange birthday present to Ivan. It is hedgehog — connected undirected graph in which one vertex has degree at least 3 (we will call it center) and all other vertices has degree ...
instruction
0
42,930
13
85,860
No
output
1
42,930
13
85,861
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Someone give a strange birthday present to Ivan. It is hedgehog — connected undirected graph in which one vertex has degree at least 3 (we will call it center) and all other vertices has degree ...
instruction
0
42,931
13
85,862
No
output
1
42,931
13
85,863
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task. You a...
instruction
0
43,103
13
86,206
No
output
1
43,103
13
86,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task. You a...
instruction
0
43,104
13
86,208
No
output
1
43,104
13
86,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task. You a...
instruction
0
43,105
13
86,210
No
output
1
43,105
13
86,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task. You a...
instruction
0
43,106
13
86,212
No
output
1
43,106
13
86,213
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
43,124
13
86,248
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` ###################################################### ############Created by Devesh Kumar################### #############devesh1102@gmail.com#################### ##########For CodeForces(Devesh1102)############...
output
1
43,124
13
86,249
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
43,125
13
86,250
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import sys from math import ceil input = sys.stdin.readline n, m, req = map(int, input().split()) e = [tuple(map(int, input().split())) for _ in range(m)] g = [[] for _ in range(n + 1)] for u, v in e: g[...
output
1
43,125
13
86,251
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
43,126
13
86,252
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import math import sys input = sys.stdin.readline from collections import * def li():return [int(i) for i in input().rstrip('\n').split()] def st():return input().rstrip('\n') def val():return int(input().rstrip(...
output
1
43,126
13
86,253
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
43,127
13
86,254
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` import sys input = sys.stdin.readline from math import sqrt n,m=map(int,input().split()) k=int(-(-sqrt(n)//1)) E=[[] for i in range(n+1)] D=[0]*(n+1) for i in range(m): x,y=map(int,input().split()) E[x]...
output
1
43,127
13
86,255
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
43,128
13
86,256
Tags: constructive algorithms, dfs and similar, graphs, greedy, implementation, trees Correct Solution: ``` #!/usr/bin/env python3 import sys from math import * from collections import defaultdict from queue import deque # Queues from heapq import heappush, heappop # Priority Queues # parse lines = [...
output
1
43,128
13
86,257