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Provide a correct Python 3 solution for this coding contest problem. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge connecting Vertex i and j; otherwise, there is no such edg...
instruction
0
55,413
13
110,826
"Correct Solution: ``` def bfs(dp, arr, i, visited): q = [] q.append(i) visited[i] = True while q: i = q.pop(0) visited[i] = True for j in arr[i]: if dp[j] == -1: dp[j] = dp[i] + 1 elif dp[i] == dp[j]: return -1 if visited[j] == False: visited[j] = True q.append(j) return 0 n=i...
output
1
55,413
13
110,827
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,414
13
110,828
Yes
output
1
55,414
13
110,829
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,415
13
110,830
Yes
output
1
55,415
13
110,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,416
13
110,832
Yes
output
1
55,416
13
110,833
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,417
13
110,834
Yes
output
1
55,417
13
110,835
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,418
13
110,836
No
output
1
55,418
13
110,837
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,419
13
110,838
No
output
1
55,419
13
110,839
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,420
13
110,840
No
output
1
55,420
13
110,841
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a connected undirected graph with N vertices and M edges. The vertices are numbered 1 to N, and the edges are described by a grid of characters S. If S_{i,j} is `1`, there is an edge co...
instruction
0
55,421
13
110,842
No
output
1
55,421
13
110,843
Provide tags and a correct Python 3 solution for this coding contest problem. Today is tuesday, that means there is a dispute in JOHNNY SOLVING team again: they try to understand who is Johnny and who is Solving. That's why guys asked Umnik to help them. Umnik gave guys a connected graph with n vertices without loops ...
instruction
0
55,647
13
111,294
Tags: constructive algorithms, dfs and similar, graphs, math Correct Solution: ``` import sys s = sys.stdin.read() inp = [] numb = 0 for i in range(len(s)): if s[i]>='0': numb = 10*numb + ord(s[i])-48 else: inp.append(numb) numb = 0 if s[-1]>='0': inp.append(numb) ii = 0 n = inp[...
output
1
55,647
13
111,295
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today is tuesday, that means there is a dispute in JOHNNY SOLVING team again: they try to understand who is Johnny and who is Solving. That's why guys asked Umnik to help them. Umnik gave guys a...
instruction
0
55,648
13
111,296
No
output
1
55,648
13
111,297
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today is tuesday, that means there is a dispute in JOHNNY SOLVING team again: they try to understand who is Johnny and who is Solving. That's why guys asked Umnik to help them. Umnik gave guys a...
instruction
0
55,649
13
111,298
No
output
1
55,649
13
111,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer n. Let's build a graph on vertices 1, 2, ..., n in such a way that there is an edge between vertices u and v if and only if <image>. Let d(u, v) be the shortest ...
instruction
0
56,125
13
112,250
No
output
1
56,125
13
112,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer n. Let's build a graph on vertices 1, 2, ..., n in such a way that there is an edge between vertices u and v if and only if <image>. Let d(u, v) be the shortest ...
instruction
0
56,126
13
112,252
No
output
1
56,126
13
112,253
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer n. Let's build a graph on vertices 1, 2, ..., n in such a way that there is an edge between vertices u and v if and only if <image>. Let d(u, v) be the shortest ...
instruction
0
56,127
13
112,254
No
output
1
56,127
13
112,255
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer n. Let's build a graph on vertices 1, 2, ..., n in such a way that there is an edge between vertices u and v if and only if <image>. Let d(u, v) be the shortest ...
instruction
0
56,128
13
112,256
No
output
1
56,128
13
112,257
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,243
13
112,486
"Correct Solution: ``` # coding: utf-8 # Your code here! MOD=10**9+7 def dot(a, b): res = [[0] * n for _ in range(n)] for i in range(n): for k, aik in enumerate(a[i]): for j,bkj in enumerate(b[k]): res[i][j] += aik*bkj res[i][j] %= MOD return res n,k = ...
output
1
56,243
13
112,487
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,244
13
112,488
"Correct Solution: ``` mod = 10**9+7 def mat_mul(A, B): # A,Bは正方行列とする C = [[0]*N for _ in range(N)] for i in range(N): for j in range(N): C[i][j] = sum(A[i][k] * B[k][j] for k in range(N)) % mod return C def matpow(A, n): B = [[0]*N for _ in range(N)] for i in range(N): ...
output
1
56,244
13
112,489
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,245
13
112,490
"Correct Solution: ``` import sys stdin = sys.stdin def ni(): return int(ns()) def na(): return list(map(int, stdin.readline().split())) def naa(N): return [na() for _ in range(N)] def ns(): return stdin.readline().rstrip() # ignore trailing spaces def matrix_cal(A, B, mod): a = len(A) b = len(A[0])...
output
1
56,245
13
112,491
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,246
13
112,492
"Correct Solution: ``` n, kk = map(int, input().split()) AA = [list(map(int, input().split())) for _ in range(n)] mod = 10 ** 9 + 7 # nxnの行列積 def matrix_product(A, B): res = [[0] * n for _ in range(n)] for i in range(n): for k in range(n): for j in range(n): res[i][j] += A...
output
1
56,246
13
112,493
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,247
13
112,494
"Correct Solution: ``` from collections import defaultdict, deque, Counter from heapq import heappush, heappop, heapify import math import bisect import random from itertools import permutations, accumulate, combinations, product import sys import string from bisect import bisect_left, bisect_right from math import fac...
output
1
56,247
13
112,495
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,248
13
112,496
"Correct Solution: ``` p = 10**9+7 def pow(X,k): if k==0: return [[1 if i==j else 0 for j in range(N)] for i in range(N)] if k==1: return X if k%2==0: Y = pow(X,k//2) Z = [[0 for _ in range(N)] for _ in range(N)] for i in range(N): for j in range(N): ...
output
1
56,248
13
112,497
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,249
13
112,498
"Correct Solution: ``` import sys input = sys.stdin.readline def matDot(A,B,MOD): N,M,L = len(A),len(A[0]),len(B[0]) res = [[0]*L for i in range(N)] for i in range(N): for j in range(L): s = 0 for k in range(M): s = (s + A[i][k]*B[k][j]) % MOD ...
output
1
56,249
13
112,499
Provide a correct Python 3 solution for this coding contest problem. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directed edge from Vertex i to j. If a_{i, j} = 1, there is a d...
instruction
0
56,250
13
112,500
"Correct Solution: ``` n,k = map(int,input().split()) g = [list(map(int,input().split())) for i in range(n)] mod = 10**9+7 ans = 0 def mul(x,y): res = [] for i in range(n): tmp = [] for j in range(n): ko = 0 for k in range(n): ko += x[i][k] * y[k][j] ko %=mod tmp.append(ko)...
output
1
56,250
13
112,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,251
13
112,502
Yes
output
1
56,251
13
112,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,252
13
112,504
Yes
output
1
56,252
13
112,505
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,253
13
112,506
Yes
output
1
56,253
13
112,507
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,254
13
112,508
Yes
output
1
56,254
13
112,509
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,255
13
112,510
No
output
1
56,255
13
112,511
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,256
13
112,512
No
output
1
56,256
13
112,513
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,257
13
112,514
No
output
1
56,257
13
112,515
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a simple directed graph G with N vertices, numbered 1, 2, \ldots, N. For each i and j (1 \leq i, j \leq N), you are given an integer a_{i, j} that represents whether there is a directe...
instruction
0
56,258
13
112,516
No
output
1
56,258
13
112,517
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,379
13
112,758
"Correct Solution: ``` # coding=utf-8 class Tree(): def __init__(self): self.root = None def insert(self, key): node = Node(key) flag = False if self.root == None: self.root = node else: search_node = self.root while search_node: ...
output
1
56,379
13
112,759
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,380
13
112,760
"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 is not None: x, y = x.left if key < x.key else x.right, x ...
output
1
56,380
13
112,761
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,381
13
112,762
"Correct Solution: ``` class Node: def __init__(self, key, parent=None, left=None, right=None): self.key = key self.parent = parent self.left = left self.right = right class Tree: root = None preorder_list = [] inorder_list = [] def __init__(self): pass d...
output
1
56,381
13
112,763
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,382
13
112,764
"Correct Solution: ``` n = int(input()) class Node: def __init__(self): self.key = -1 self.parent_id = -1 self.left_id = -1 self.right_id = -1 def insert(nodes,z): y = -1 root_id = -1 for i in range(len(nodes)): if nodes[i].parent_id == -1: root_id ...
output
1
56,382
13
112,765
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,383
13
112,766
"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
56,383
13
112,767
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,384
13
112,768
"Correct Solution: ``` class BinarySearchTree: root = None def insert(self, k): y = None x = self.root z = Node(k) while x: y = x if z.k < x.k: x = x.l else: x = x.r z.p = y if y == None:...
output
1
56,384
13
112,769
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,385
13
112,770
"Correct Solution: ``` """ 二分探索木を構成する """ import copy class Node: def __init__(self, node_id, parent=None, left=None, right=None): self.node_id = node_id self.parent = parent self.left = left self.right = right class Tree: def insert_root_node(self, new_id): global root...
output
1
56,385
13
112,771
Provide a correct Python 3 solution for this coding contest problem. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Binary search tree is one of fundamental search trees. The ...
instruction
0
56,386
13
112,772
"Correct Solution: ``` #http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_8_A #???????????? def insert(root, insert_node): focus_node = root parent = None while not focus_node == None: parent = focus_node if focus_node["data"] > insert_node["data"]: focus_node = fo...
output
1
56,386
13
112,773
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,387
13
112,774
Yes
output
1
56,387
13
112,775
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,388
13
112,776
Yes
output
1
56,388
13
112,777
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,389
13
112,778
Yes
output
1
56,389
13
112,779
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,390
13
112,780
Yes
output
1
56,390
13
112,781
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,391
13
112,782
No
output
1
56,391
13
112,783
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,392
13
112,784
No
output
1
56,392
13
112,785
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,393
13
112,786
No
output
1
56,393
13
112,787
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue. Bin...
instruction
0
56,394
13
112,788
No
output
1
56,394
13
112,789
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an unweighted tree with n vertices. Then n - 1 following operations are applied to the tree. A single operation consists of the following steps: 1. choose two leaves; 2. add the length of the simple path between them to ...
instruction
0
56,898
13
113,796
Tags: constructive algorithms, dfs and similar, graphs, greedy, trees Correct Solution: ``` import sys from collections import deque as dq n = int(input()) ind = 0 inp = [int(x)-1 for line in sys.stdin.readlines() for x in line.split()] coupl = [[] for _ in range(n)] for _ in range(n-1): a,b = inp[ind],inp[ind+1]...
output
1
56,898
13
113,797
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an unweighted tree with n vertices. Then n - 1 following operations are applied to the tree. A single operation consists of the following steps: 1. choose two leaves; 2. add the length of the simple path between them to ...
instruction
0
56,899
13
113,798
Tags: constructive algorithms, dfs and similar, graphs, greedy, trees Correct Solution: ``` import sys def main(): n = int(input()) edges = list(map(int, sys.stdin.read().split())) tree_edges = dict() for i in range(n): tree_edges[i + 1] = set() for i in range(0, len(edges) - 1, 2): ...
output
1
56,899
13
113,799