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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is: Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the e...
instruction
0
103,421
13
206,842
No
output
1
103,421
13
206,843
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is: Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the e...
instruction
0
103,422
13
206,844
No
output
1
103,422
13
206,845
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,649
13
207,298
"Correct Solution: ``` import sys from heapq import heappop, heappush from typing import List def func(start: int) -> List[int]: global edges cost = [sys.maxsize] * n que = [(0, start)] cost[start] = 0 while que: acc, num = heappop(que) for weight, to in edges[num]: if...
output
1
103,649
13
207,299
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,650
13
207,300
"Correct Solution: ``` from sys import stdin from collections import defaultdict readline = stdin.readline #readline = open('GRL_5_B-in10.txt').readline def main(): n = int(readline()) g = defaultdict(list) for _ in range(n - 1): s, t, d = map(int, readline().split()) g[s].append([d, t]) ...
output
1
103,650
13
207,301
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,651
13
207,302
"Correct Solution: ``` from heapq import heappop, heappush INF = 10 ** 20 def main(): n = int(input()) edges = [[] for _ in range(n)] for _ in range(n - 1): s, t, w = map(int, input().split()) edges[s].append((w, t)) edges[t].append((w, s)) def func(start): cost = [INF] * n que = [(0, s...
output
1
103,651
13
207,303
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,652
13
207,304
"Correct Solution: ``` from collections import deque def solve(tree, root): def dfs1(): """各頂点の部分木内で最も遠い頂点(葉)までの距離を求める""" q1 = deque([root]) q2 = deque([root]) while q1: v = q1.pop() for nxt_v, cost in tree[v]: if nxt_v in par: ...
output
1
103,652
13
207,305
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,653
13
207,306
"Correct Solution: ``` def tree_height(T, w): N = len(T) # Consider T to be rooted at r = 0 downward = [0] * N # the height of the subtree rooted at each v upward = [-1] * N # the height of the subtree which contains the root r and is rooted at each v height = [-1] * N def dfs1(r): nonlo...
output
1
103,653
13
207,307
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,654
13
207,308
"Correct Solution: ``` import sys sys.setrecursionlimit(int(1e7)) n = int(input()) tree = {} for i in range(n - 1): s, t, w = map(int, input().split()) if s not in tree: tree[s] = {} if t not in tree: tree[t] = {} tree[s][t] = tree[t][s] = w max_cost = 0 max_id = 0 def visit(v: in...
output
1
103,654
13
207,309
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,655
13
207,310
"Correct Solution: ``` import sys from operator import itemgetter sys.setrecursionlimit(200000) def dfs(u, prev): global post_order, pre_order pre_order.append((u, prev)) for w, t in edges[u]: if t != prev: dfs(t, u) post_order.append(u) n = int(input()) edges = [set() for _ in...
output
1
103,655
13
207,311
Provide a correct Python 3 solution for this coding contest problem. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 t...
instruction
0
103,656
13
207,312
"Correct Solution: ``` class Tree(): def __init__(self,n,edge): self.n = n self.tree = [[] for _ in range(n)] for e in edge: self.tree[e[0]].append((e[1],e[2])) self.tree[e[1]].append((e[0],e[2])) def setroot(self,root): self.root = root self.paren...
output
1
103,656
13
207,313
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,657
13
207,314
Yes
output
1
103,657
13
207,315
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,658
13
207,316
Yes
output
1
103,658
13
207,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,659
13
207,318
Yes
output
1
103,659
13
207,319
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,660
13
207,320
Yes
output
1
103,660
13
207,321
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,661
13
207,322
No
output
1
103,661
13
207,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,662
13
207,324
No
output
1
103,662
13
207,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,663
13
207,326
No
output
1
103,663
13
207,327
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,00...
instruction
0
103,664
13
207,328
No
output
1
103,664
13
207,329
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an undirected graph where each edge has one of two colors: black or red. Your task is to assign a real number to each node so that: * for each black edge the sum of values at its endpoints is 1; * for each red edge the ...
instruction
0
103,865
13
207,730
Tags: *special, binary search, dfs and similar, dp, math, ternary search Correct Solution: ``` # SOLUTION CREDITS: https://codeforces.com/profile/TheVan import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self...
output
1
103,865
13
207,731
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an undirected graph where each edge has one of two colors: black or red. Your task is to assign a real number to each node so that: * for each black edge the sum of values at its endpoints is 1; * for each red edge the ...
instruction
0
103,866
13
207,732
Tags: *special, binary search, dfs and similar, dp, math, ternary search Correct Solution: ``` import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() ...
output
1
103,866
13
207,733
Provide tags and a correct Python 3 solution for this coding contest problem. In this problem at each moment you have a set of intervals. You can move from interval (a, b) from our set to interval (c, d) from our set if and only if c < a < d or c < b < d. Also there is a path from interval I1 from our set to interval ...
instruction
0
103,988
13
207,976
Tags: data structures Correct Solution: ``` def dfs(node, destination): if node == destination: return True visited[node] = True for adj in graph[node]: if not visited[adj] and dfs(adj, destination): return True return False n = int(input()) graph = [[] for _ in range(n...
output
1
103,988
13
207,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In this problem at each moment you have a set of intervals. You can move from interval (a, b) from our set to interval (c, d) from our set if and only if c < a < d or c < b < d. Also there is a ...
instruction
0
103,991
13
207,982
Yes
output
1
103,991
13
207,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In this problem you will have to deal with a very special network. The network consists of two parts: part A and part B. Each part consists of n vertices; i-th vertex of part A is denoted as Ai...
instruction
0
104,150
13
208,300
No
output
1
104,150
13
208,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In this problem you will have to deal with a very special network. The network consists of two parts: part A and part B. Each part consists of n vertices; i-th vertex of part A is denoted as Ai...
instruction
0
104,151
13
208,302
No
output
1
104,151
13
208,303
Provide a correct Python 3 solution for this coding contest problem. problem AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with the following fractal structure. * $ T'$ is the addition ...
instruction
0
104,385
13
208,770
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time sys.setrecursionlimit(10**7) inf = 10**20 mod = 10**9 + 7 def LI(): return list(map(int, input().split())) def LF(): return list(map(float, input().split())) def LS(): return input().split() def I(): return...
output
1
104,385
13
208,771
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with th...
instruction
0
104,386
13
208,772
No
output
1
104,386
13
208,773
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with th...
instruction
0
104,387
13
208,774
No
output
1
104,387
13
208,775
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with th...
instruction
0
104,388
13
208,776
No
output
1
104,388
13
208,777
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with th...
instruction
0
104,389
13
208,778
No
output
1
104,389
13
208,779
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,422
13
208,844
Tags: constructive algorithms, graphs Correct Solution: ``` from sys import exit def bad(): print("NO") exit() node = 1 def make_branch(u, d, deg, g, n, k): global node while deg[u] < k and d > 0 and node < n: node += 1 deg[u] += 1 deg[node] = 1 g[u].append(node) ...
output
1
104,422
13
208,845
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,423
13
208,846
Tags: constructive algorithms, graphs Correct Solution: ``` n, d, k = map(int, input().split()) if d+1 > n: print('NO') exit() ans = [] dist = [0]*n deg = [0]*n for i in range(d+1): if i == 0 or i == d: deg[i] = 1 else: deg[i] = 2 if i != d: ans.append((i+1, i+2)) dist[...
output
1
104,423
13
208,847
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,424
13
208,848
Tags: constructive algorithms, graphs Correct Solution: ``` import sys input = sys.stdin.buffer.readline from collections import deque n,d,k=map(int,input().split()) if d>=n: print("NO") exit() graph=[[] for i in range(n+1)] for i in range(1,d+2): graph[i].append(min(i-1,d+1-i)) # print(graph) for i ...
output
1
104,424
13
208,849
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,425
13
208,850
Tags: constructive algorithms, graphs Correct Solution: ``` #WARNING This code is just for fun. Reading it might give u a brainfreeze n,d,k = [int(x) for x in input().strip().split(' ')] l = [] i = 1 if n<=d: print("NO") elif k==1: if n>2: print("NO") elif n==2: print("YES") print(1,2) else: n+=1 flag = Fal...
output
1
104,425
13
208,851
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,426
13
208,852
Tags: constructive algorithms, graphs Correct Solution: ``` import sys n,d,k=map(int,input().split()) if(n<=d): print('NO') sys.exit() if(k==1 and n>2): print('NO') sys.exit() edgestot=[] edges=[[] for i in range(n)] tovisit=[] for i in range(d): edgestot.append([i,i+1]) tovisit.append([i+1,mi...
output
1
104,426
13
208,853
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,427
13
208,854
Tags: constructive algorithms, graphs Correct Solution: ``` def main(): n, d, k = list(map(int, input().split())) if n == 2 and d == 1 and k == 1: print("YES") print("1 2") return 0 if n == d + 1 and k - 1: print("YES") for i in range(1, d + 1): print(i, i...
output
1
104,427
13
208,855
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,428
13
208,856
Tags: constructive algorithms, graphs Correct Solution: ``` n, d, k = map(int, input().split()) num = d+2 def solve(): global num if n == 1: return 'NO' if n == 2: if d != 1: return 'NO' else: return "YES\n1 2" if k < 2: return 'NO' if d > n-1: return 'NO' depth = [min(i, d-i) for i in...
output
1
104,428
13
208,857
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undirected tree is a connected undirected graph with ...
instruction
0
104,429
13
208,858
Tags: constructive algorithms, graphs Correct Solution: ``` n,d,k=map(int,input().strip().split()) ans=[] if (d>n-1): print ("NO") exit(0) if (k<2 and n>2): print ("NO") exit(0) l1=[0 for i in range(d+2)] count=d cnt=d+2 def insert(par,v,r,e): global count global cnt if count==n-1: print ("YES") for o in ans...
output
1
104,429
13
208,859
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,430
13
208,860
Yes
output
1
104,430
13
208,861
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,431
13
208,862
Yes
output
1
104,431
13
208,863
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,432
13
208,864
Yes
output
1
104,432
13
208,865
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,433
13
208,866
Yes
output
1
104,433
13
208,867
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,434
13
208,868
No
output
1
104,434
13
208,869
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,435
13
208,870
No
output
1
104,435
13
208,871
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,436
13
208,872
No
output
1
104,436
13
208,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three integers n, d and k. Your task is to construct an undirected tree on n vertices with diameter d and degree of each vertex at most k, or say that it is impossible. An undire...
instruction
0
104,437
13
208,874
No
output
1
104,437
13
208,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the Eulerian traversal of a tree (a connected undirected graph without cycles) as follows: consider a depth-first search algorithm which traverses vertices of the tree and enumerate...
instruction
0
104,454
13
208,908
No
output
1
104,454
13
208,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I'm the Map, I'm the Map! I'm the MAP!!! Map In anticipation of new adventures Boots wanted to do a good deed. After discussion with the Map and Backpack, they decided to gift Dora a connected...
instruction
0
104,519
13
209,038
No
output
1
104,519
13
209,039
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I'm the Map, I'm the Map! I'm the MAP!!! Map In anticipation of new adventures Boots wanted to do a good deed. After discussion with the Map and Backpack, they decided to gift Dora a connected...
instruction
0
104,520
13
209,040
No
output
1
104,520
13
209,041
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I'm the Map, I'm the Map! I'm the MAP!!! Map In anticipation of new adventures Boots wanted to do a good deed. After discussion with the Map and Backpack, they decided to gift Dora a connected...
instruction
0
104,521
13
209,042
No
output
1
104,521
13
209,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I'm the Map, I'm the Map! I'm the MAP!!! Map In anticipation of new adventures Boots wanted to do a good deed. After discussion with the Map and Backpack, they decided to gift Dora a connected...
instruction
0
104,522
13
209,044
No
output
1
104,522
13
209,045