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Provide tags and a correct Python 3 solution for this coding contest problem. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this tree, [bitwise XOR](https://en.wikipedia.org/wi...
instruction
0
66,579
13
133,158
Tags: bitmasks, constructive algorithms, dfs and similar, greedy, math, trees Correct Solution: ``` #import io,os #input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline from collections import deque n = int(input()) neigh = [[] for i in range(n)] for i in range(n-1): u,v = map(int,input().split()) ne...
output
1
66,579
13
133,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,580
13
133,160
Yes
output
1
66,580
13
133,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,581
13
133,162
Yes
output
1
66,581
13
133,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,582
13
133,164
Yes
output
1
66,582
13
133,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,583
13
133,166
Yes
output
1
66,583
13
133,167
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,584
13
133,168
No
output
1
66,584
13
133,169
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,585
13
133,170
No
output
1
66,585
13
133,171
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,586
13
133,172
No
output
1
66,586
13
133,173
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have unweighted tree of n vertices. You have to assign a positive weight to each edge so that the following condition would hold: * For every two different leaves v_{1} and v_{2} of this ...
instruction
0
66,587
13
133,174
No
output
1
66,587
13
133,175
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 connected graph consisting of n vertices and m edges. Your goal is to destroy all edges of the given graph. You may choose any vertex as the starting one and begin w...
instruction
0
66,672
13
133,344
No
output
1
66,672
13
133,345
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 connected graph consisting of n vertices and m edges. Your goal is to destroy all edges of the given graph. You may choose any vertex as the starting one and begin w...
instruction
0
66,673
13
133,346
No
output
1
66,673
13
133,347
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 connected graph consisting of n vertices and m edges. Your goal is to destroy all edges of the given graph. You may choose any vertex as the starting one and begin w...
instruction
0
66,674
13
133,348
No
output
1
66,674
13
133,349
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 connected graph consisting of n vertices and m edges. Your goal is to destroy all edges of the given graph. You may choose any vertex as the starting one and begin w...
instruction
0
66,675
13
133,350
No
output
1
66,675
13
133,351
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,889
13
133,778
Tags: dfs and similar, dp, trees Correct Solution: ``` def main(): n = int(input()) colors = input()[::2] edges = [[[] for _ in range(n)] for _ in (0, 1)] for _ in range(n - 1): u, v = map(int, input().split()) u -= 1 v -= 1 e = edges[colors[u] != colors[v]] e[u]....
output
1
66,889
13
133,779
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,890
13
133,780
Tags: dfs and similar, dp, trees Correct Solution: ``` from collections import defaultdict, deque class DSU: def __init__(self, n): self.parents = [i for i in range(n)] self.ranks = [0 for i in range(n)] def find_parent(self, v): if self.parents[v] == v: return v se...
output
1
66,890
13
133,781
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,891
13
133,782
Tags: dfs and similar, dp, trees Correct Solution: ``` import sys from collections import defaultdict, deque sys.setrecursionlimit(1000000000) def buildTree(root): q = deque() q.append((root, root)) vis = [0 for _ in range(n + 1)] vis[root] = 1 while q: v, fa = q.pop() for x in pre...
output
1
66,891
13
133,783
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,892
13
133,784
Tags: dfs and similar, dp, trees Correct Solution: ``` def main(): n = int(input()) colors = input()[::2] dsu = list(range(n)) edges = [[] for _ in range(n)] for _ in range(n - 1): u, v = map(int, input().split()) u -= 1 v -= 1 if colors[u] == colors[v]: a...
output
1
66,892
13
133,785
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,893
13
133,786
Tags: dfs and similar, dp, trees Correct Solution: ``` def main(): n = int(input()) colors = [c == '1' for c in input()[::2]] dsu = list(range(n)) edges = [[] for _ in range(n)] for _ in range(n - 1): u, v = map(int, input().split()) u -= 1 v -= 1 if colors[u] == colo...
output
1
66,893
13
133,787
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,894
13
133,788
Tags: dfs and similar, dp, trees Correct Solution: ``` def main(): from collections import defaultdict n, colors = int(input()), input()[::2] dsu, edges, d = list(range(n)), [], defaultdict(list) for _ in range(n - 1): u, v = map(int, input().split()) u -= 1 v -= 1 if col...
output
1
66,894
13
133,789
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,895
13
133,790
Tags: dfs and similar, dp, trees Correct Solution: ``` f = lambda: map(int, input().split()) s, n = 0, int(input()) g = [set() for i in range(n + 1)] c = [0] + list(f()) d = [0] * (n + 1) for j in range(n - 1): a, b = f() g[a].add(b) g[b].add(a) p = [q for q, t in enumerate(g) if len(t) == 1] while p: ...
output
1
66,895
13
133,791
Provide tags and a correct Python 3 solution for this coding contest problem. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to cha...
instruction
0
66,896
13
133,792
Tags: dfs and similar, dp, trees Correct Solution: ``` import sys from collections import defaultdict, deque # sys.setrecursionlimit(1000000000) def buildTree(root): q = deque() q.append((root, root)) vis = [0 for _ in range(n + 1)] vis[root] = 1 while q: v, fa = q.pop() for x in p...
output
1
66,896
13
133,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton does...
instruction
0
66,897
13
133,794
No
output
1
66,897
13
133,795
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton does...
instruction
0
66,898
13
133,796
No
output
1
66,898
13
133,797
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton does...
instruction
0
66,899
13
133,798
No
output
1
66,899
13
133,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph. There are n vertices in the tree, each of them is painted black or white. Anton does...
instruction
0
66,900
13
133,800
No
output
1
66,900
13
133,801
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,953
13
133,906
Tags: dfs and similar, dp, graphs Correct Solution: ``` import sys from collections import deque input = sys.stdin.readline n, m = map(int, input().split()) s = list(input()) graph = [[] for _ in range(n)] degree = [0 for _ in range(n)] dp = [[0 for _ in range(26)] for _ in range(n)] for i in range(m): a, b = m...
output
1
66,953
13
133,907
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,954
13
133,908
Tags: dfs and similar, dp, graphs Correct Solution: ``` from os import path import sys,time mod = int(1e9 + 7) # import re from math import ceil, floor,gcd,log,log2 ,factorial,sqrt from collections import defaultdict ,Counter , OrderedDict , deque from itertools import combinations ,accumulate # from string import asci...
output
1
66,954
13
133,909
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,955
13
133,910
Tags: dfs and similar, dp, graphs Correct Solution: ``` from collections import defaultdict,deque import sys input=sys.stdin.readline n,m=map(int,input().split()) l=list(input()) beauty=[0 for i in range(n)] graph=defaultdict(list) for i in range(m): a,b=map(int,input().split()) a-=1 b-=1 graph[a].append(b) beaut...
output
1
66,955
13
133,911
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,956
13
133,912
Tags: dfs and similar, dp, graphs Correct Solution: ``` maxi = 300005 n, m = map(int, input().split()) s = input() s = " "+s ed = [] dp = [] for i in range(n+1): ed.append([]) dp.append([0]*26) q = [0]*maxi front = 0 rear = 0 deg = [0]*(n+1) for i in range(m): x, y = map(int, input().split()) ed[x].appe...
output
1
66,956
13
133,913
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,957
13
133,914
Tags: dfs and similar, dp, graphs Correct Solution: ``` from sys import stdin input=lambda : stdin.readline().strip() from collections import deque nodes,edges=map(int,input().split()) input_string=input() x=[] y=[] for i in range(edges): a,b=map(int,input().split()) x.append(a) y.append(b) def beauty(nod...
output
1
66,957
13
133,915
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,958
13
133,916
Tags: dfs and similar, dp, graphs Correct Solution: ``` from collections import defaultdict,deque import sys input=sys.stdin.readline n,m=map(int,input().split()) arr=list(input()) q=deque() res=0 dg=[0 for i in range(n)] cnt=0 gp=defaultdict(list) for i in range(m): l,k=map(int,input().split()) l=l-1 k=k-1...
output
1
66,958
13
133,917
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,959
13
133,918
Tags: dfs and similar, dp, graphs Correct Solution: ``` from collections import defaultdict import sys from sys import stdin def check(a): for i in a: if i: return True return False def change(x): return ord(x)-ord('a') def solve(): n, m = map(int, stdin.readline().split()) s =...
output
1
66,959
13
133,919
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For example, if letters on a path are "abaca", then the v...
instruction
0
66,960
13
133,920
Tags: dfs and similar, dp, graphs Correct Solution: ``` import sys from collections import defaultdict, deque input = sys.stdin.readline def beauty(n,m,z,x,y): l=z degree=[0 for i in range(n)] graph=defaultdict(list) for i in range(m): a,b=x[i],y[i] a-=1 b-=1 graph[a].append(b) degree[b]+=1 q=deque() ...
output
1
66,960
13
133,921
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,961
13
133,922
Yes
output
1
66,961
13
133,923
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,962
13
133,924
Yes
output
1
66,962
13
133,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,963
13
133,926
Yes
output
1
66,963
13
133,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,964
13
133,928
Yes
output
1
66,964
13
133,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,965
13
133,930
No
output
1
66,965
13
133,931
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,966
13
133,932
No
output
1
66,966
13
133,933
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,967
13
133,934
No
output
1
66,967
13
133,935
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the most frequently occurring letter. For exampl...
instruction
0
66,968
13
133,936
No
output
1
66,968
13
133,937
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are integers N and K, and a prime number P. Find the number, modulo P, of directed graphs G with N vertices that satisfy below. Here, the vertices are distinguishable from each other. * G...
instruction
0
67,004
13
134,008
No
output
1
67,004
13
134,009
Provide a correct Python 3 solution for this coding contest problem. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\leq N-1) connects Vertex a_i and b_i. He would like to m...
instruction
0
67,085
13
134,170
"Correct Solution: ``` from collections import deque import sys input=sys.stdin.readline N=int(input()) edge=[[] for i in range(N)] for i in range(N-1): a,b=map(int,input().split()) edge[a-1].append(b-1) edge[b-1].append(a-1) parent=[-1]*N parent[0]=0 que=deque([0]) ans=[0] while que: v=que.popleft()...
output
1
67,085
13
134,171
Provide a correct Python 3 solution for this coding contest problem. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\leq N-1) connects Vertex a_i and b_i. He would like to m...
instruction
0
67,086
13
134,172
"Correct Solution: ``` import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines from bisect import bisect_left, bisect_right N = int(readline()) m = map(int,read().split()) AB = zip(m,m) graph = [[] for _ in range(N+1)] for a,b in AB: graph[a].append(b) ...
output
1
67,086
13
134,173
Provide a correct Python 3 solution for this coding contest problem. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\leq N-1) connects Vertex a_i and b_i. He would like to m...
instruction
0
67,087
13
134,174
"Correct Solution: ``` import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines from bisect import bisect_right N = int(readline()) m = map(int,read().split()) AB = zip(m,m) graph = [[] for _ in range(N+1)] for a,b in AB: graph[a].append(b) graph[b]....
output
1
67,087
13
134,175
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\l...
instruction
0
67,088
13
134,176
No
output
1
67,088
13
134,177
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\l...
instruction
0
67,089
13
134,178
No
output
1
67,089
13
134,179
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\l...
instruction
0
67,090
13
134,180
No
output
1
67,090
13
134,181
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi has decided to make a Christmas Tree for the Christmas party in AtCoder, Inc. A Christmas Tree is a tree with N vertices numbered 1 through N and N-1 edges, whose i-th edge (1\leq i\l...
instruction
0
67,091
13
134,182
No
output
1
67,091
13
134,183
Provide a correct Python 3 solution for this coding contest problem. You are given an undirected unweighted graph with N vertices and M edges that contains neither self-loops nor double edges. Here, a self-loop is an edge where a_i = b_i (1≤i≤M), and double edges are two edges where (a_i,b_i)=(a_j,b_j) or (a_i,b_i)=(b...
instruction
0
67,108
13
134,216
"Correct Solution: ``` import itertools n, m = [int(x) for x in input().split()] edges = set(tuple(int(x) for x in input().split()) for _ in range(m)) print(sum(1 if all(p in edges or tuple(reversed(p)) in edges for p in [(1, path[0])] + list(zip(path, path[1:]))) else 0 for path in itertools.permutations(range(2, n +...
output
1
67,108
13
134,217