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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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,480
13
142,960
Yes
output
1
71,480
13
142,961
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,481
13
142,962
Yes
output
1
71,481
13
142,963
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,482
13
142,964
Yes
output
1
71,482
13
142,965
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,483
13
142,966
No
output
1
71,483
13
142,967
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,484
13
142,968
No
output
1
71,484
13
142,969
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,485
13
142,970
No
output
1
71,485
13
142,971
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 graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 ≤ i ≤ M) connects Vertex a_i and b_i. G does not have self-loo...
instruction
0
71,486
13
142,972
No
output
1
71,486
13
142,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will recursively define uninity of a tree, as follows: (Uni is a Japanese word for sea urchins.) * A tree consisting of one vertex is a tree of uninity 0. * Suppose there are zero or more tr...
instruction
0
71,491
13
142,982
No
output
1
71,491
13
142,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will recursively define uninity of a tree, as follows: (Uni is a Japanese word for sea urchins.) * A tree consisting of one vertex is a tree of uninity 0. * Suppose there are zero or more tr...
instruction
0
71,492
13
142,984
No
output
1
71,492
13
142,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will recursively define uninity of a tree, as follows: (Uni is a Japanese word for sea urchins.) * A tree consisting of one vertex is a tree of uninity 0. * Suppose there are zero or more tr...
instruction
0
71,493
13
142,986
No
output
1
71,493
13
142,987
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day, Takahashi was given the following problem from Aoki: * You are given a tree with N vertices and an integer K. The vertices are numbered 1 through N. The edges are represented by pairs ...
instruction
0
71,494
13
142,988
No
output
1
71,494
13
142,989
Provide a correct Python 3 solution for this coding contest problem. There is a complete graph of m vertices. Initially, the edges of the complete graph are uncolored. Sunuke did the following for each i (1 ≤ i ≤ n): Select ai vertices from the complete graph and color all edges connecting the selected vertices with c...
instruction
0
71,576
13
143,152
"Correct Solution: ``` N = int(input()) A = [int(input()) for i in range(N)] INF = 10**18 N2 = 2**N def dfs(i, D): if i == N: return sum(D) b = 1 << i a = A[i] def sel(j, state, u): if j == N2: D2 = D[:] for e in u: D2[e] -= 1 D2[e ...
output
1
71,576
13
143,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a weighed undirected connected graph, consisting of n vertices and m edges. You should answer q queries, the i-th query is to find the shortest distance between vertices u_i and v...
instruction
0
71,656
13
143,312
No
output
1
71,656
13
143,313
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a weighed undirected connected graph, consisting of n vertices and m edges. You should answer q queries, the i-th query is to find the shortest distance between vertices u_i and v...
instruction
0
71,657
13
143,314
No
output
1
71,657
13
143,315
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a weighed undirected connected graph, consisting of n vertices and m edges. You should answer q queries, the i-th query is to find the shortest distance between vertices u_i and v...
instruction
0
71,658
13
143,316
No
output
1
71,658
13
143,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a weighed undirected connected graph, consisting of n vertices and m edges. You should answer q queries, the i-th query is to find the shortest distance between vertices u_i and v...
instruction
0
71,659
13
143,318
No
output
1
71,659
13
143,319
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,754
13
143,508
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` #!/usr/bin/env python3 from collections import deque import sys sys.setrecursionlimit(10**8) input = sys.stdin.readline n, m = [int(item) for item in input().split()] ans = 0 edge = set() for i in range(m): a, b = [int(item) - 1 for item in inpu...
output
1
71,754
13
143,509
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,755
13
143,510
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` import sys import math from collections import defaultdict,Counter,deque # input=sys.stdin.readline # def print(x): # sys.stdout.write(str(x)+"\n") import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlin...
output
1
71,755
13
143,511
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,756
13
143,512
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` from sys import stdin, stdout from collections import Counter, deque from bisect import bisect_left from itertools import product input = stdin.buffer.readline n, m = map(int, input().split()) e = [set() for _ in range(n+1)] for _ in range(m): a, b...
output
1
71,756
13
143,513
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,757
13
143,514
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` # from sys import stdin # def rl(): # return [int(w) for w in stdin.readline().split()] from bisect import bisect_right from bisect import bisect_left from collections import defaultdict from math import sqrt,factorial,gcd,log2,inf,ceil # map(int,in...
output
1
71,757
13
143,515
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,758
13
143,516
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` import sys input = sys.stdin.readline N, M = map(int, input().split()) E = [[] for _ in range(N+1)] for _ in range(M): v, u = map(int, input().split()) E[v].append(u) E[u].append(v) Open = [True] * (N+1) Rem = set(range(1, N+1)) def bfs(v)...
output
1
71,758
13
143,517
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,759
13
143,518
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` class UnionFind(object): __slots__ = ['nodes'] def __init__(self, n: int): self.nodes = [-1]*n def size(self, x: int) -> int: return -self.nodes[self.find(x)] def find(self, x: int) -> int: if self.nodes[x] < 0...
output
1
71,759
13
143,519
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,760
13
143,520
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` from sys import stdin def rl(): return [int(w) for w in stdin.readline().split()] n,m = rl() he = [set() for _ in range(n+1)] for _ in range(m): a,b = rl() he[a].add(b) he[b].add(a) unvisited = set(range(1,n+1)) ccs = 0 while unvisited...
output
1
71,760
13
143,521
Provide tags and a correct Python 3 solution for this coding contest problem. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weigh...
instruction
0
71,761
13
143,522
Tags: dfs and similar, dsu, graphs, sortings Correct Solution: ``` import sys reader = (s.rstrip() for s in sys.stdin) input = reader.__next__ n,m = map(int, input().split()) G = [set() for i in range(n)] for i in range(m): a,b = map(int, input().split()) a,b = a-1,b-1 G[a].add(b) G[b].add(a) ans = 0 ...
output
1
71,761
13
143,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,762
13
143,524
Yes
output
1
71,762
13
143,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,763
13
143,526
Yes
output
1
71,763
13
143,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,764
13
143,528
Yes
output
1
71,764
13
143,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,765
13
143,530
Yes
output
1
71,765
13
143,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,766
13
143,532
No
output
1
71,766
13
143,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,767
13
143,534
No
output
1
71,767
13
143,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,768
13
143,536
No
output
1
71,768
13
143,537
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a des...
instruction
0
71,769
13
143,538
No
output
1
71,769
13
143,539
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Donghyun's new social network service (SNS) contains n users numbered 1, 2, …, n. Internally, their network is a tree graph, so there are n-1 direct connections between each user. Each user can ...
instruction
0
71,786
13
143,572
No
output
1
71,786
13
143,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Donghyun's new social network service (SNS) contains n users numbered 1, 2, …, n. Internally, their network is a tree graph, so there are n-1 direct connections between each user. Each user can ...
instruction
0
71,787
13
143,574
No
output
1
71,787
13
143,575
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Donghyun's new social network service (SNS) contains n users numbered 1, 2, …, n. Internally, their network is a tree graph, so there are n-1 direct connections between each user. Each user can ...
instruction
0
71,788
13
143,576
No
output
1
71,788
13
143,577
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Caisa is now at home and his son has a simple task for him. Given a rooted tree with n vertices, numbered from 1 to n (vertex 1 is the root). Each vertex of the tree has a value. You should ans...
instruction
0
72,035
13
144,070
No
output
1
72,035
13
144,071
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Caisa is now at home and his son has a simple task for him. Given a rooted tree with n vertices, numbered from 1 to n (vertex 1 is the root). Each vertex of the tree has a value. You should ans...
instruction
0
72,036
13
144,072
No
output
1
72,036
13
144,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Caisa is now at home and his son has a simple task for him. Given a rooted tree with n vertices, numbered from 1 to n (vertex 1 is the root). Each vertex of the tree has a value. You should ans...
instruction
0
72,037
13
144,074
No
output
1
72,037
13
144,075
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Caisa is now at home and his son has a simple task for him. Given a rooted tree with n vertices, numbered from 1 to n (vertex 1 is the root). Each vertex of the tree has a value. You should ans...
instruction
0
72,038
13
144,076
No
output
1
72,038
13
144,077
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,463
13
144,926
"Correct Solution: ``` import heapq INF = 10**9+1 def solve(): n_V,n_E,r = map(int, input().split()) graph = {v:[] for v in range(n_V)} for _ in range(n_E): u,v,w = map(int, input().split()) graph[u].append((v,w)) min_distances = [INF]*n_V; min_distances[r] = 0 prev = [None for _ in range(n_V)] ...
output
1
72,463
13
144,927
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,464
13
144,928
"Correct Solution: ``` import heapq inf = 10000000000 n,m,r = map(int,input().split()) e = [[] for _ in range(n)] for _ in range(m): a,b,c = map(int,input().split()) e[a].append([b,c]) d = [inf]*n d[r] = 0 pq = [[0,r]] heapq.heapify(pq) while len(pq): pre = heapq.heappop(pq) a,b = pre[0],pre[1] ...
output
1
72,464
13
144,929
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,465
13
144,930
"Correct Solution: ``` from heapq import heappush,heappop,heapify INF=10**30 def dijkstra(G,s,n): que=[(0,s)] dist=[INF]*n dist[s]=0 while que: mincost,u=heappop(que) if(mincost>dist[u]): continue for c,v in G[u]: if(dist[u]+c<dist[v]): di...
output
1
72,465
13
144,931
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,466
13
144,932
"Correct Solution: ``` def main(): V,E,r,*L = map(int,open(0).read().split()) INF = float("inf") G = [[] for _ in range(V)] for s,t,c in zip(*[iter(L)]*3): G[s].append((t,c)) for i in dijkstra(G,r): if i==INF: print("INF") else: print(i) from heapq import heappop,heappush def dijkstra(G:list, source=0...
output
1
72,466
13
144,933
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,467
13
144,934
"Correct Solution: ``` ''' ????????£???????????????????????? ''' import queue v,e,s=map(int,input().split()) edge=[] inf =1000000100 for i in range(v): edge.append([]) for i in range(e): vs,vt,d=map(int,input().split()) edge[vs].append((vt,d)) dis=[] for i in range(v): dis.append(inf) dis[s]=0 ...
output
1
72,467
13
144,935
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,468
13
144,936
"Correct Solution: ``` #============================================================================= # ダイクストラ法 #============================================================================= import heapq N,M,s=map(int,input().split()) Graph=[[] for _ in range(N+1)] dig=["INF" for _ in range(N+1)] see=[False for _ in ra...
output
1
72,468
13
144,937
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,469
13
144,938
"Correct Solution: ``` from heapq import heappush, heappop INF = 10 ** 12 V, E, r = map(int, input().split()) graph = [[] for _ in range(V)] dist_all = [INF] * V dist_all[r] = 0 for i in range(E): start, end, dist1 = map(int, input().split()) graph[start].append([end, dist1]) q = [] heappush(q, (0, r)) while...
output
1
72,469
13
144,939
Provide a correct Python 3 solution for this coding contest problem. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 10000 * 0 ≤ |E| ≤ 500000 * There are no parallel edges * ...
instruction
0
72,470
13
144,940
"Correct Solution: ``` import heapq v, e, r = map(int, input().split()) g = [[] for _ in range(v)] for i in range(e): s, t, d = map(int, input().split()) g[s].append((d, t))#(重み, 次の頂点) dist = [float("inf")] * v visited = [False] * v dist[r] = 0 visited[r] = True candidate = [] for i in g[r]: heapq.heappus...
output
1
72,470
13
144,941
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 1...
instruction
0
72,471
13
144,942
Yes
output
1
72,471
13
144,943
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 1...
instruction
0
72,472
13
144,944
Yes
output
1
72,472
13
144,945
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given weighted graph G(V, E) and a source r, find the source shortest path to each vertex from the source (SSSP: Single Source Shortest Path). Constraints * 1 ≤ |V| ≤ 100000 * 0 ≤ di ≤ 1...
instruction
0
72,473
13
144,946
Yes
output
1
72,473
13
144,947