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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,050
13
36,100
Yes
output
1
18,050
13
36,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,051
13
36,102
Yes
output
1
18,051
13
36,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,052
13
36,104
Yes
output
1
18,052
13
36,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,053
13
36,106
Yes
output
1
18,053
13
36,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,054
13
36,108
No
output
1
18,054
13
36,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,055
13
36,110
No
output
1
18,055
13
36,111
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,056
13
36,112
No
output
1
18,056
13
36,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's call an undirected graph of n vertices p-interesting, if the following conditions fulfill: * the graph contains exactly 2n + p edges; * the graph doesn't contain self-loops and mult...
instruction
0
18,057
13
36,114
No
output
1
18,057
13
36,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a connected weighted graph with n vertices and m edges. The graph doesn't contain loops nor multiple edges. Consider some edge with id i. Let's determine for this edge the maximum ...
instruction
0
18,215
13
36,430
No
output
1
18,215
13
36,431
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,323
13
36,646
"Correct Solution: ``` def main(): from collections import deque n,m,*t=map(int,open(0).read().split()) i,o=[0]*n,[[]for _ in range(n)] for a,b in zip(*[iter(t)]*2): o[a-1]+=b-1, i[b-1]+=1 q=deque(v for v in range(n)if i[v]<1) r=[] while q: v=q.popleft() r+=v, for w in o[v]: i[w]...
output
1
18,323
13
36,647
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,324
13
36,648
"Correct Solution: ``` import sys sys.setrecursionlimit(100000) N, M = list(map(int, input().split())) AB = [list(map(int, input().split())) for _ in range(M)] R = {} for a, b in AB: if a in R: R[a].append(b) else: R[a] = [b] def nasu(x, e): D[x] = 1 if x not in R: return [] for i in R[x]: ...
output
1
18,324
13
36,649
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,325
13
36,650
"Correct Solution: ``` import sys input = sys.stdin.readline n,m = map(int,input().split()) edge = [[] for _ in [0]*n] back = [[] for _ in [0]*n] for _ in [0]*m: a,b = map(int,input().split()) edge[a-1].append(b-1) back[b-1].append(a-1) res = [None]*(n+1) for end in range(n): for start in edge[end...
output
1
18,325
13
36,651
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,326
13
36,652
"Correct Solution: ``` n, m = map(int, input().split()) ans = [0] * (n + 1) import collections g = collections.defaultdict(set) for _ in range(m): a, b = map(int, input().split()) g[a-1].add(b-1) def minCircle(s): f = [None] * n visited = set() q = [] q.append(s) while q: node = q....
output
1
18,326
13
36,653
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,327
13
36,654
"Correct Solution: ``` N,M=map(int,input().split()) AB=[list(map(int,input().split())) for i in range(M)] c=[[] for i in range(N)] for a,b in AB: c[a-1].append(b-1) from collections import deque import sys sys.setrecursionlimit(10**9) def f2(q): s=set(q) for a,b in AB: if a in s and b in s: ...
output
1
18,327
13
36,655
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,328
13
36,656
"Correct Solution: ``` from collections import deque def resolve(): N, M = map(int, input().split()) G = [[] for _ in range(N)] for _ in range(M): a, b = map(lambda x: int(x) - 1, input().split()) G[a].append(b) shortest = N + 1 res = [] for s in range(N): dist = [-1] *...
output
1
18,328
13
36,657
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,329
13
36,658
"Correct Solution: ``` from collections import deque import sys sys.setrecursionlimit(10**6) class DirectedGraph: def __init__(self, adj): self.n = len(adj) self.adj = adj self.is_asyclic = False self.max_path_len = None def topological_sort(self): indegree = [0] * self...
output
1
18,329
13
36,659
Provide a correct Python 3 solution for this coding contest problem. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains no self-loops or multiple edges. Determine whether there...
instruction
0
18,330
13
36,660
"Correct Solution: ``` from collections import deque def solve_f(n, g): for i in range(n): parent = [-1] * n queue = deque([i]) done = False answer = [] # bfs while len(queue) > 0: p = queue.popleft() for q in g[p]: if q == i...
output
1
18,330
13
36,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,331
13
36,662
Yes
output
1
18,331
13
36,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,332
13
36,664
Yes
output
1
18,332
13
36,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,333
13
36,666
Yes
output
1
18,333
13
36,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,334
13
36,668
Yes
output
1
18,334
13
36,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,335
13
36,670
No
output
1
18,335
13
36,671
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,336
13
36,672
No
output
1
18,336
13
36,673
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,337
13
36,674
No
output
1
18,337
13
36,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a directed graph G with N vertices and M edges. The vertices are numbered 1 to N, and the i-th edge is directed from Vertex A_i to Vertex B_i. It is guaranteed that the graph contains n...
instruction
0
18,338
13
36,676
No
output
1
18,338
13
36,677
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,533
13
37,066
"Correct Solution: ``` import sys class Node: __slots__ = ['key', 'left', 'right'] def __init__(self, key): self.key = key self.left = self.right = None root = None def insert(key): global root x, y = root, None while x: y = x if key < x.key: x = x.left ...
output
1
18,533
13
37,067
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,534
13
37,068
"Correct Solution: ``` import sys input = sys.stdin.readline print = sys.stdout.write class Node: __slots__ = ["data", "left", "right"] def __init__(self, data): self.data = data self.left = None self.right = None class BinarySearchTree: __slots__ = ["root"] def __init__(self):...
output
1
18,534
13
37,069
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,535
13
37,070
"Correct Solution: ``` import sys NIL = -1 class Node: def __init__(self, key): self.key = key self.parent = NIL self.left = NIL self.right = NIL class Tree: def __init__(self): self.root = NIL def insert(self, z): y = NIL x = self.root ...
output
1
18,535
13
37,071
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,536
13
37,072
"Correct Solution: ``` class Node: def __init__(self): self.key, self.left, self.right, self.parent = 0, None, None, None class BST: def __init__(self): self.root = None def insert(self, key): x, y = self.root, None z = Node() z.key = key while x != None...
output
1
18,536
13
37,073
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,537
13
37,074
"Correct Solution: ``` class node: def __init__(self): self.p = -1 self.l = -1 self.r = -1 def preParse(u): if u == -1: return print(" " + str(u), end = '') preParse(T[u].l) preParse(T[u].r) def inParse(u): if u == -1: return inParse(T[u].l) prin...
output
1
18,537
13
37,075
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,538
13
37,076
"Correct Solution: ``` class node(): def __init__(self, key, parent, left, right): self.key = key self.parent = parent self.left = left self.right = right root = None def insert(z): global root y = None x = root while x != None: y = x if z.key < x...
output
1
18,538
13
37,077
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,539
13
37,078
"Correct Solution: ``` # -*- coding: utf-8 -*- import sys sys.setrecursionlimit(100000) def insert(k, node): if k < node: if tree[node]["left"] == None: tree[node]["left"] = k tree[k] = {"parent": node, "left": None, "right": None} return else: insert...
output
1
18,539
13
37,079
Provide a correct Python 3 solution for this coding contest problem. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key into $T$. * find $k$: Report whether $T$ has a node conta...
instruction
0
18,540
13
37,080
"Correct Solution: ``` class Tree(): def __init__(self): self.nodes = {} self.root = None def add_node(self, key): if key not in self.nodes: self.nodes[key] = Node(key) def insert(self, z_key): self.add_node(z_key) z = self.nodes[z_key] y = None ...
output
1
18,540
13
37,081
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,541
13
37,082
Yes
output
1
18,541
13
37,083
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,542
13
37,084
Yes
output
1
18,542
13
37,085
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,543
13
37,086
Yes
output
1
18,543
13
37,087
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,544
13
37,088
Yes
output
1
18,544
13
37,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,545
13
37,090
No
output
1
18,545
13
37,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,546
13
37,092
No
output
1
18,546
13
37,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,547
13
37,094
No
output
1
18,547
13
37,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I. * insert $k$: Insert a node containing $k$ as key i...
instruction
0
18,548
13
37,096
No
output
1
18,548
13
37,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. A legendary tree rests deep in the forest. Legend has it that individuals who realize this tree would eternally become a Legendary Grandmaster. To help you dete...
instruction
0
18,606
13
37,212
No
output
1
18,606
13
37,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. A legendary tree rests deep in the forest. Legend has it that individuals who realize this tree would eternally become a Legendary Grandmaster. To help you dete...
instruction
0
18,607
13
37,214
No
output
1
18,607
13
37,215
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Note that this is the second problem of the two similar problems. You can hack this problem if you solve it. But you can hack the previous problem only if you solve both problems. You are given...
instruction
0
18,624
13
37,248
No
output
1
18,624
13
37,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Note that this is the second problem of the two similar problems. You can hack this problem if you solve it. But you can hack the previous problem only if you solve both problems. You are given...
instruction
0
18,625
13
37,250
No
output
1
18,625
13
37,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Note that this is the second problem of the two similar problems. You can hack this problem if you solve it. But you can hack the previous problem only if you solve both problems. You are given...
instruction
0
18,626
13
37,252
No
output
1
18,626
13
37,253
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer D. Let's build the following graph from it: * each vertex is a divisor of D (not necessarily prime, 1 and D itself are also included); * two vertices x and y (x > y) have an undirected edge between the...
instruction
0
18,667
13
37,334
Tags: combinatorics, graphs, greedy, math, number theory Correct Solution: ``` from sys import stdin mod=998244353 N=10**5+3 fac=[1]*(N+1) for i in range(1,N+1): fac[i]=fac[i-1]*i%mod inv_fac=[1]*(N+1) inv_fac[N]=pow(fac[N],mod-2,mod) for i in range(N-1,0,-1): inv_fac[i]=inv_fac[i+1]*(i+1)%mod D=int(stdin.readline())...
output
1
18,667
13
37,335
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer D. Let's build the following graph from it: * each vertex is a divisor of D (not necessarily prime, 1 and D itself are also included); * two vertices x and y (x > y) have an undirected edge between the...
instruction
0
18,668
13
37,336
Tags: combinatorics, graphs, greedy, math, number theory Correct Solution: ``` # region fastio # from https://codeforces.com/contest/1333/submission/75948789 import sys, io, os BUFSIZE = 8192 class FastIO(io.IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffe...
output
1
18,668
13
37,337
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer D. Let's build the following graph from it: * each vertex is a divisor of D (not necessarily prime, 1 and D itself are also included); * two vertices x and y (x > y) have an undirected edge between the...
instruction
0
18,669
13
37,338
Tags: combinatorics, graphs, greedy, math, number theory Correct Solution: ``` import io, os import sys input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline D=int(input()) q=int(input()) mod=998244353 Q=[tuple(map(int,input().split())) for i in range(q)] from math import gcd from math import sqrt L=[] Q2=[] f...
output
1
18,669
13
37,339
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer D. Let's build the following graph from it: * each vertex is a divisor of D (not necessarily prime, 1 and D itself are also included); * two vertices x and y (x > y) have an undirected edge between the...
instruction
0
18,670
13
37,340
Tags: combinatorics, graphs, greedy, math, number theory Correct Solution: ``` mod = 998244353 eps = 10**-9 def main(): import sys input = sys.stdin.buffer.readline # comb init # mod = 1000000007 nmax = 100 # change here fac = [0] * nmax finv = [0] * nmax inv = [0] * nmax fac[0] ...
output
1
18,670
13
37,341