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Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,154
13
16,308
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` n=int(input()) if n&1>0: print(-1) exit() g=[[] for i in range(n)] for i in range(n-1): u,v=map(int,input().split()) u-=1 v-=1 g[u].append(v) g[v].append(u) c=[1]*n v=[-1]*n v[0]=0 q=[0] while q: x=q[-1] flag=False for to in g[x]...
output
1
8,154
13
16,309
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,155
13
16,310
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` # n nodes, n - 1 edges, no possibility for loop # so no need of maintaining a vis array, it'd not visit nodes previously visited # as long as you don't go along the edge back which leads you to the current node from collections import deque def ...
output
1
8,155
13
16,311
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,156
13
16,312
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` import sys # import bisect # from collections import deque # sys.setrecursionlimit(100000) Ri = lambda : [int(x) for x in sys.stdin.readline().split()] ri = lambda : sys.stdin.readline().strip() def input(): return sys.stdin.readline().strip() ...
output
1
8,156
13
16,313
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,157
13
16,314
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` from sys import exit def main(): n = int(input()) g = [[] for i in range(n + 5)] vh = [[] for i in range(n + 5)] size = [1 for i in range(n + 5)] par = [i for i in range(n + 5)] if n % 2 == 1: print(-1) exi...
output
1
8,157
13
16,315
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,158
13
16,316
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` n=int(input()) tr=[[] for i in range(n)] for _ in range(n-1): u,v=map(int,input().split()) tr[u-1].append(v-1) tr[v-1].append(u-1) if n%2: print(-1) exit() c=[1]*n par=[-1]*n par[0]=0 q=[0] while q: ver=q[-1] flag=False for to in tr[...
output
1
8,158
13
16,317
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even size. Input The first line contains an intege...
instruction
0
8,159
13
16,318
Tags: dfs and similar, dp, graphs, greedy, trees Correct Solution: ``` def main(): n = int(input()) if n % 2 != 0: print(-1) return links = [[1, set()] for i in range(1, n+1)] W = 0 L = 1 i = 0 while i < n-1: i += 1 [a, b] = [int(x) for x in input().split()] links[a-1][L].add(b-1) ...
output
1
8,159
13
16,319
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,160
13
16,320
Yes
output
1
8,160
13
16,321
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,161
13
16,322
Yes
output
1
8,161
13
16,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,162
13
16,324
Yes
output
1
8,162
13
16,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,163
13
16,326
Yes
output
1
8,163
13
16,327
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,164
13
16,328
No
output
1
8,164
13
16,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,165
13
16,330
No
output
1
8,165
13
16,331
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,166
13
16,332
No
output
1
8,166
13
16,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a tree with n vertices. Your task is to determine the maximum possible number of edges that can be removed in such a way that all the remaining connected components will have even ...
instruction
0
8,167
13
16,334
No
output
1
8,167
13
16,335
Provide a correct Python 3 solution for this coding contest problem. Problem Statement Do you know the data structure called BDD (Binary Decision Diagram)? In recent years, ZDD, which has become a hot topic in the video related to Combinatorial Explosion Sister, is a data structure derived from BDD. This problem is a...
instruction
0
8,352
13
16,704
"Correct Solution: ``` def root(x): if x == par[x]:return x par[x] = root(par[x]) return par[x] def unite(x, y): x = root(x) y = root(y) if rank[x] < rank[y]: x,y = y,x if rank[x] == rank[y]: rank[x] += 1 par[y] = x def init(n): x = [None] * s for i in range(s): x[i] = ...
output
1
8,352
13
16,705
Provide a correct Python 3 solution for this coding contest problem. Problem Statement Do you know the data structure called BDD (Binary Decision Diagram)? In recent years, ZDD, which has become a hot topic in the video related to Combinatorial Explosion Sister, is a data structure derived from BDD. This problem is a...
instruction
0
8,353
13
16,706
"Correct Solution: ``` def root(x): if x == par[x]: return x par[x] = root(par[x]) return par[x] def unite(x,y): x = root(x) y = root(y) if rank[x] < rank[y]: par[x] = y else: par[y] = x if rank[x] == rank[y]: rank[x] += 1 n = int(input()) par = ...
output
1
8,353
13
16,707
Provide a correct Python 3 solution for this coding contest problem. Example Input 3 aab czc baa Output aac
instruction
0
8,354
13
16,708
"Correct Solution: ``` import heapq class edge: def __init__(self,to,cap,cost,rev): self.to = to self.cap = cap self.cost = cost self.rev = rev class min_cost_flow: INF = 52**60 def __init__(self, n): self.V = n self.G = [[] for _ in range(n)] self.h...
output
1
8,354
13
16,709
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,376
13
16,752
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n=int(input()) a=input().split() A=[int(x) for x in a] B=[[x,[]] for x in range(1,n+1)] i=0 for i in range(len(A)): B[A[i]-1][1].append(i+2) def merge(arr, l, m, r): n1 = m - l + 1 n2 = r- m L = [0]...
output
1
8,376
13
16,753
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,377
13
16,754
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n=int(input()) a=[0,0]+[int(x) for x in input().split()] ans=[0]*(n+1) for i in range(n,1,-1): if ans[i]==0: ans[i]=1 ans[a[i]]+=ans[i] if n==1: ans[1]=1 ans=ans[1:] ans.sort() print(*ans) ```
output
1
8,377
13
16,755
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,378
13
16,756
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n = int(input()) tr = {} p = [int(s) for s in input().split()] for i in range(n-1): if not tr.get(p[i]-1): tr[p[i]-1] = [] tr[p[i]-1].append(i+1) # print(tr) lc = [-1 for i in range(n)] def get_lc(i...
output
1
8,378
13
16,757
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,379
13
16,758
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n = int(input()) if n == 1: print(1) else: adj = [[] for i in range(n+10)] s = input().split() for i in range(2,n+1): pi = int(s[i-2]) adj[i].append(pi) adj[pi].append(i) ...
output
1
8,379
13
16,759
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,380
13
16,760
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` # -*- coding:utf-8 -*- """ created by shuangquan.huang at 12/14/18 """ import collections import sys N = int(input()) p = [int(x) for x in input().split()] G = collections.defaultdict(list) for i, v in enum...
output
1
8,380
13
16,761
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,381
13
16,762
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n=int(input()) if n==1: print(1) else: p=list(map(int,input().split())) children=[] for i in range(n): children.append([]) for i in range(n-1): children[p[i]-1].append(i+1) l...
output
1
8,381
13
16,763
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,382
13
16,764
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n=int(input())### p=[0,0]+list(map(int,input().split()))#tomamos la entrada d=[0]*(n+1)#aki vamos a contar la cantidad d colores q necesita cada union for i in range(n,1,-1):#empezamos x las hojas hasta llegar a la...
output
1
8,382
13
16,765
Provide tags and a correct Python 3 solution for this coding contest problem. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using branches. The junctions are enumerated from 1 to n,...
instruction
0
8,383
13
16,766
Tags: constructive algorithms, dfs and similar, dp, graphs, greedy, sortings, trees Correct Solution: ``` n = int(input()) p = [0,0] + [int(w) for w in input().split()] d = [0] * (n+1) for i in range(n, 1, -1): if d[i] == 0: d[i] = 1 d[p[i]] += d[i] if n == 1: d[1] = 1 d = d[1:] d.sort() print(...
output
1
8,383
13
16,767
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,384
13
16,768
Yes
output
1
8,384
13
16,769
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,385
13
16,770
Yes
output
1
8,385
13
16,771
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,386
13
16,772
Yes
output
1
8,386
13
16,773
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,387
13
16,774
Yes
output
1
8,387
13
16,775
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,388
13
16,776
No
output
1
8,388
13
16,777
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,389
13
16,778
No
output
1
8,389
13
16,779
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,390
13
16,780
No
output
1
8,390
13
16,781
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is one apple tree in Arkady's garden. It can be represented as a set of junctions connected with branches so that there is only one way to reach any junctions from any other one using bran...
instruction
0
8,391
13
16,782
No
output
1
8,391
13
16,783
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n nodes. You have to write non-negative integers on its edges so that the following condition would be satisfied: For every two nodes i, j, look at the path between them and count the sum of numbers on the edges of...
instruction
0
8,438
13
16,876
Tags: constructive algorithms, trees Correct Solution: ``` import math n = int(input()) if n == 1: print() else: edge = [list(map(int, input().split())) for i in range(1, n) ] g = {} for x, y in edge: if x not in g: g[x] = [] if y not in g: g[y] = [] ...
output
1
8,438
13
16,877
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. You have to write non-negative integers on its edges so that the following condition would be satisfied: For every two nodes i, j, look at the path between th...
instruction
0
8,439
13
16,878
No
output
1
8,439
13
16,879
Provide tags and a correct Python 3 solution for this coding contest problem. A connected undirected graph is called a vertex cactus, if each vertex of this graph belongs to at most one simple cycle. A simple cycle in a undirected graph is a sequence of distinct vertices v1, v2, ..., vt (t > 2), such that for any i (...
instruction
0
8,608
13
17,216
Tags: data structures, dfs and similar, dp, graphs, trees Correct Solution: ``` from collections import defaultdict 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...
output
1
8,608
13
17,217
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a rooted tree consisting of n vertices numbered from 1 to n. The root of the tree is a vertex number 1. Initially all vertices contain number 0. Then come q queries, each query ha...
instruction
0
8,638
13
17,276
No
output
1
8,638
13
17,277
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a rooted tree consisting of n vertices numbered from 1 to n. The root of the tree is a vertex number 1. Initially all vertices contain number 0. Then come q queries, each query ha...
instruction
0
8,639
13
17,278
No
output
1
8,639
13
17,279
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a rooted tree consisting of n vertices numbered from 1 to n. The root of the tree is a vertex number 1. Initially all vertices contain number 0. Then come q queries, each query ha...
instruction
0
8,640
13
17,280
No
output
1
8,640
13
17,281
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a rooted tree consisting of n vertices numbered from 1 to n. The root of the tree is a vertex number 1. Initially all vertices contain number 0. Then come q queries, each query ha...
instruction
0
8,641
13
17,282
No
output
1
8,641
13
17,283
Provide tags and a correct Python 3 solution for this coding contest problem. When Darth Vader gets bored, he sits down on the sofa, closes his eyes and thinks of an infinite rooted tree where each node has exactly n sons, at that for each node, the distance between it an its i-th left child equals to di. The Sith Lor...
instruction
0
8,663
13
17,326
Tags: dp, matrices Correct Solution: ``` # fast io from sys import stdin _data = iter(stdin.read().split('\n')) input = lambda: next(_data) N = 101 MOD = 1000000007 def mul_vec_mat(v, a): c = [0] * N for i in range(N): c[i] = sum(a[j][i] * v[j] % MOD for j in range(N)) % MOD return c def mul_vec_...
output
1
8,663
13
17,327
Provide tags and a correct Python 3 solution for this coding contest problem. When Darth Vader gets bored, he sits down on the sofa, closes his eyes and thinks of an infinite rooted tree where each node has exactly n sons, at that for each node, the distance between it an its i-th left child equals to di. The Sith Lor...
instruction
0
8,664
13
17,328
Tags: dp, matrices Correct Solution: ``` # fast io from sys import stdin _data = iter(stdin.read().split('\n')) input = lambda: next(_data) N = 101 MOD = 1000000007 def mul_vec_mat(v, a): n = len(a[0]) m = len(v) c = [0] * n for i in range(n): c[i] = sum(a[j][i] * v[j] % MOD for j in range(m))...
output
1
8,664
13
17,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. When Darth Vader gets bored, he sits down on the sofa, closes his eyes and thinks of an infinite rooted tree where each node has exactly n sons, at that for each node, the distance between it an...
instruction
0
8,666
13
17,332
No
output
1
8,666
13
17,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a directed graph with n nodes and m edges, with all edges having a certain weight. There might be multiple edges and self loops, and the graph can also be disconnected. You nee...
instruction
0
8,821
13
17,642
No
output
1
8,821
13
17,643
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a directed graph with n nodes and m edges, with all edges having a certain weight. There might be multiple edges and self loops, and the graph can also be disconnected. You nee...
instruction
0
8,822
13
17,644
No
output
1
8,822
13
17,645
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a directed graph with n nodes and m edges, with all edges having a certain weight. There might be multiple edges and self loops, and the graph can also be disconnected. You nee...
instruction
0
8,823
13
17,646
No
output
1
8,823
13
17,647
Provide a correct Python 3 solution for this coding contest problem. We have an undirected graph G with N vertices numbered 1 to N and N edges as follows: * For each i=1,2,...,N-1, there is an edge between Vertex i and Vertex i+1. * There is an edge between Vertex X and Vertex Y. For each k=1,2,...,N-1, solve the ...
instruction
0
8,856
13
17,712
"Correct Solution: ``` n,x,y=map(int,input().split()) ans=[0]*n for i in range(n): for j in range(i+1,n): ans[min(j+1-i-1,abs(i+1-x)+abs(j+1-y)+1)] += 1 for i in range(n-1): print(ans[i+1]) ```
output
1
8,856
13
17,713
Provide a correct Python 3 solution for this coding contest problem. We have an undirected graph G with N vertices numbered 1 to N and N edges as follows: * For each i=1,2,...,N-1, there is an edge between Vertex i and Vertex i+1. * There is an edge between Vertex X and Vertex Y. For each k=1,2,...,N-1, solve the ...
instruction
0
8,857
13
17,714
"Correct Solution: ``` N, X, Y = map(int, input().split()) K = [0]*(N-1) for i in range(1,N+1): for j in range(i+1,N+1): K[min(min(abs(X-i)+1,abs(Y-i))+abs(j-Y),abs(i-j))-1]+=1 for i in range(N-1): print(K[i]) ```
output
1
8,857
13
17,715
Provide a correct Python 3 solution for this coding contest problem. We have an undirected graph G with N vertices numbered 1 to N and N edges as follows: * For each i=1,2,...,N-1, there is an edge between Vertex i and Vertex i+1. * There is an edge between Vertex X and Vertex Y. For each k=1,2,...,N-1, solve the ...
instruction
0
8,858
13
17,716
"Correct Solution: ``` n,x,y=map(int,input().split()) l=[0]*n for i in range(1,n+1): for j in range(i+1,n+1): l[min(j-i,abs(x-i)+1+abs(y-j))]+=1 print(*l[1:],sep='\n') ```
output
1
8,858
13
17,717
Provide a correct Python 3 solution for this coding contest problem. We have an undirected graph G with N vertices numbered 1 to N and N edges as follows: * For each i=1,2,...,N-1, there is an edge between Vertex i and Vertex i+1. * There is an edge between Vertex X and Vertex Y. For each k=1,2,...,N-1, solve the ...
instruction
0
8,859
13
17,718
"Correct Solution: ``` n,x,y=map(int,input().split()) ans=[0]*(n-1) for i in range(1,n+1): for j in range(i+1,n+1): ans[(min(j-i,abs(i-x)+abs(j-y)+1))-1]+=1 for i in ans: print(i) ```
output
1
8,859
13
17,719