message stringlengths 2 49.9k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 446 108k | cluster float64 13 13 | __index_level_0__ int64 892 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Chris is participating in a graph cutting contest. He's a pro. The time has come to test his skills to the fullest.
Chris is given a simple undirected connected graph with n vertices (numbered from 1 to n) and m edges. The problem is... | instruction | 0 | 10,326 | 13 | 20,652 |
Tags: dfs and similar, graphs
Correct Solution:
```
import sys
input = sys.stdin.readline
print = sys.stdout.write
def get_input():
n, m = [int(x) for x in input().split(' ')]
graph = [[] for _ in range(n + 1)]
for _ in range(m):
c1, c2 = [int(x) for x in input().split(' ')]
graph[c1].ap... | output | 1 | 10,326 | 13 | 20,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Chris is participating in a graph cutting contest. He's a pro. The time has come to test his skills to the fullest.
Chris is given a simple undirected connected graph with n vertices (numbered from 1 to n) and m edges. The problem is... | instruction | 0 | 10,327 | 13 | 20,654 |
Tags: dfs and similar, graphs
Correct Solution:
```
import sys
input = sys.stdin.readline
print = sys.stdout.write
def get_input():
n, m = [int(x) for x in input().split(' ')]
graph = [[] for _ in range(n + 1)]
for _ in range(m):
c1, c2 = [int(x) for x in input().split(' ')]
graph[c1].ap... | output | 1 | 10,327 | 13 | 20,655 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,527 | 13 | 21,054 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
import sys
from math import sqrt, gcd, ceil, log
from bisect import bisect, bisect_left
from collections import defaultdict, Counter, deque
from heapq import heapify, heappush, heappop
inp = sys.stdin.readline
read = lambda: list(map(int, inp().strip().split()))
... | output | 1 | 10,527 | 13 | 21,055 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,528 | 13 | 21,056 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
import bisect
import sys
from collections import deque
input = sys.stdin.readline
def main():
n, m = map(int, input().split())
g = [[] for _ in range(n)]
for _ in range(m):
a, b = map(int, input().split())
g[a-1].append(b-1)
... | output | 1 | 10,528 | 13 | 21,057 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,529 | 13 | 21,058 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
n, m = map(int, input().split())
graph = [[] for _ in range(n+1)]
for _ in range(m):
a, b = map(int, input().split())
graph[a].append(b)
graph[b].append(a)
to_check = set(i for i in range(n+1) if len(graph[i]) == 2)
cnt = 0
while to_check:
node =... | output | 1 | 10,529 | 13 | 21,059 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,530 | 13 | 21,060 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
from sys import setrecursionlimit
setrecursionlimit(100000)
from collections import deque
nV, nE = map(int, input().split())
g = [[] for _ in range(nV)]
for _ in range(nE):
u, v = map(lambda x: int(x) - 1, input().split())
g[u].append(v)
g[v].append(... | output | 1 | 10,530 | 13 | 21,061 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,531 | 13 | 21,062 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
from sys import stdin,stdout
from collections import Counter
st=lambda:list(stdin.readline().strip())
li=lambda:list(map(int,stdin.readline().split()))
mp=lambda:map(int,stdin.readline().split())
inp=lambda:int(stdin.readline())
pr=lambda n: stdout.write(str(n)... | output | 1 | 10,531 | 13 | 21,063 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,532 | 13 | 21,064 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
from sys import stdin
from collections import defaultdict, deque
import io
def find_cycle(graph, visited, node):
stack = deque()
stack.append((node, None))
cycle = False
while stack:
(node, parent) = stack.pop()
if node in visi... | output | 1 | 10,532 | 13 | 21,065 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,533 | 13 | 21,066 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
from sys import stdin
input=stdin.readline
R=lambda:map(int,input().split())
I=lambda:int(input())
S=lambda:input().rstrip('\n')
n,m=R()
v=[[] for i in range(n)]
for i in range(m):
a,b=R()
v[a-1]+=b-1,
v[b-1]+=a-1,
vl=[len(v[i]) for i in range(n)]
vst=[0]*n
an... | output | 1 | 10,533 | 13 | 21,067 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An undirected graph consists of two sets: set of n... | instruction | 0 | 10,534 | 13 | 21,068 |
Tags: dfs and similar, dsu, graphs
Correct Solution:
```
import sys,math
from collections import Counter,deque,defaultdict
mod = 10**9+7
INF = float('inf')
def inp(): return int(sys.stdin.readline())
def inpl(): return list(map(int, sys.stdin.readline().split()))
class UnionFind():
def __init__(self, n):
s... | output | 1 | 10,534 | 13 | 21,069 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,535 | 13 | 21,070 |
Yes | output | 1 | 10,535 | 13 | 21,071 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,536 | 13 | 21,072 |
Yes | output | 1 | 10,536 | 13 | 21,073 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,537 | 13 | 21,074 |
Yes | output | 1 | 10,537 | 13 | 21,075 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,538 | 13 | 21,076 |
Yes | output | 1 | 10,538 | 13 | 21,077 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,539 | 13 | 21,078 |
No | output | 1 | 10,539 | 13 | 21,079 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,540 | 13 | 21,080 |
No | output | 1 | 10,540 | 13 | 21,081 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,541 | 13 | 21,082 |
No | output | 1 | 10,541 | 13 | 21,083 |
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 consisting of n vertices and m edges. Your task is to find the number of connected components which are cycles.
Here are some definitions of graph theory.
An ... | instruction | 0 | 10,542 | 13 | 21,084 |
No | output | 1 | 10,542 | 13 | 21,085 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,582 | 13 | 21,164 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(2 * 10 ** 5 + 5)
def dfs(v, p, links):
farthest_d = 0
farthest_v = v
for u in links[v]:
if u == p:
continue
res_d, res_v = dfs(u, v, links)
if res_d > farthest_d:
farthest_d = res_d
farthe... | output | 1 | 10,582 | 13 | 21,165 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,583 | 13 | 21,166 |
"Correct Solution:
```
class Tree():
def __init__(self, n, decrement=1):
self.n = n
self.edges = [[] for _ in range(n)]
self.root = None
self.depth = [-1]*n
self.size = [1]*n # 部分木のノードの数
self.decrement = decrement
def add_edge(self, u, v):
u, v = u-... | output | 1 | 10,583 | 13 | 21,167 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,584 | 13 | 21,168 |
"Correct Solution:
```
def getD(graph):
# search edge
origin=1
d = 0
queue = Queue()
for it in graph[origin]:
queue.enqueue((it, origin, d+1)) # next, coming from, depth
while queue.size() > 0:
leaf, origin, d = queue.dequeue()
for it in graph[leaf]:
if it !=... | output | 1 | 10,584 | 13 | 21,169 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,585 | 13 | 21,170 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(300000)
def dfs(idx, con, visited):
visited[idx] = True
max_depth = 0
max_len = 0
depths = []
if idx >= len(con):
return max_depth, max_len
for v in con[idx]:
if v < len(visited) and not visited[v]:
... | output | 1 | 10,585 | 13 | 21,171 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,586 | 13 | 21,172 |
"Correct Solution:
```
from collections import defaultdict
N = int(input())
abList = [list(map(int, input().split())) for _ in range(N-1)]
# 木構造の関係リスト作成
treeDict = defaultdict(list)
for a, b in abList:
treeDict[a].append(b)
treeDict[b].append(a)
# コストの辞書と疑似キューを作成
costDict = defaultdict(int)
treeQ = set()
# ... | output | 1 | 10,586 | 13 | 21,173 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,587 | 13 | 21,174 |
"Correct Solution:
```
n,*L=map(int,open(0).read().split())
con=[[]for _ in range(n)]
for a,b in zip(*[iter(L)]*2):
con[a-1].append(b-1)
con[b-1].append(a-1)
dist=[-1]*n
dist[0]=0
farthest=0
q=[0]
while q:
cur=q.pop()
for nxt in con[cur]:
if dist[nxt]<0:
dist[nxt]=dist[cur]+1
if dist[farthest]<dist[nxt]:
... | output | 1 | 10,587 | 13 | 21,175 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,588 | 13 | 21,176 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys
import heapq
INF = float("inf")
def argmax(a):
m, n = -(1 << 31), -1
for i, v in enumerate(a):
if m < v:
m, n = v, i
return m, n
# 無向グラフを仮定する。
class Graph(object):
def __init__(self, N):
self.N = N
self.V =... | output | 1 | 10,588 | 13 | 21,177 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vertex contains a coin. Starting from Takahashi, he and Aoki... | instruction | 0 | 10,589 | 13 | 21,178 |
"Correct Solution:
```
from collections import defaultdict
import sys
input = sys.stdin.readline
N = int(input())
# 例外処理
if (N == 1):
print("First")
quit()
tree = defaultdict(set)
tree_main = defaultdict(set)
for i in range(N-1):
a, b = tuple(map(int, input().split()))
tree[a].add(b)
tree[b].add(... | output | 1 | 10,589 | 13 | 21,179 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,590 | 13 | 21,180 |
Yes | output | 1 | 10,590 | 13 | 21,181 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,591 | 13 | 21,182 |
Yes | output | 1 | 10,591 | 13 | 21,183 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,592 | 13 | 21,184 |
Yes | output | 1 | 10,592 | 13 | 21,185 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,593 | 13 | 21,186 |
Yes | output | 1 | 10,593 | 13 | 21,187 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,594 | 13 | 21,188 |
No | output | 1 | 10,594 | 13 | 21,189 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,595 | 13 | 21,190 |
No | output | 1 | 10,595 | 13 | 21,191 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,596 | 13 | 21,192 |
No | output | 1 | 10,596 | 13 | 21,193 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki will play a game on a tree. The tree has N vertices numbered 1 to N, and the i-th of the N-1 edges connects Vertex a_i and Vertex b_i.
At the beginning of the game, each vert... | instruction | 0 | 10,597 | 13 | 21,194 |
No | output | 1 | 10,597 | 13 | 21,195 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,624 | 13 | 21,248 |
"Correct Solution:
```
def main():
n,q,*t=map(int,open(0).read().split())
for v,w in zip(t[::2],t[1::2]):
if n<2:
print(min(v,w))
continue
s,t=[],[]
while v:
s.append(v)
v=(v+n-2)//n
while w:
t.append(w)
w=(w+n-2)//n
print(max(set(s)&set(t)))
if __name__=='__m... | output | 1 | 10,624 | 13 | 21,249 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,625 | 13 | 21,250 |
"Correct Solution:
```
N,Q = map(int,input().split())
if N == 1:
for i in range(Q):
print(min(map(int,input().split())))
exit()
def solve(s):
a,b = map(int,s.split())
while a != b:
if a < b: a,b = b,a
a = (a+N-2) // N
return str(a)
print('\n'.join(map(solve, [input() for i ... | output | 1 | 10,625 | 13 | 21,251 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,626 | 13 | 21,252 |
"Correct Solution:
```
import sys
input=sys.stdin.readline
n,q=map(int,input().split())
for i in range(q):
u,v=map(int,input().split())
if n==1:
print(min(u,v))
continue
u-=1
v-=1
while u!=v:
if u>v:
if (u-1)//n>v:
u=(((u-1)//n)-1)//n
e... | output | 1 | 10,626 | 13 | 21,253 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,627 | 13 | 21,254 |
"Correct Solution:
```
N, Q = map(int, input().split())
if N == 1:
for i in range(Q):
V, W = map(int, input().split())
print(min(V, W))
else:
p = []
p.append(1)
for i in range(40):
p.append(p[-1] * N)
for i in range(Q):
V, W = map(int, input().split())
v = ... | output | 1 | 10,627 | 13 | 21,255 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,628 | 13 | 21,256 |
"Correct Solution:
```
from bisect import *
from sys import stdin, stdout
readline = stdin.readline
N, Q = map(int, readline().split())
ans = []
if N == 1:
for q in range(Q):
v, w = map(int, readline().split())
ans.append(str(v))
else:
c = 1
B = [1]
while c < 10**9:
B.append(c+1)... | output | 1 | 10,628 | 13 | 21,257 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,629 | 13 | 21,258 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
N,Q = map(int,input().split())
VW = [tuple(map(int,input().split())) for i in range(Q)]
ans = []
if N==1:
for v,w in VW:
ans.append(min(v,w))
else:
for v,w in VW:
while v != w:
if v > w: v,w = w,v
w = (w+N-2)//... | output | 1 | 10,629 | 13 | 21,259 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,630 | 13 | 21,260 |
"Correct Solution:
```
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)
N, Q = map(int, input().split())
if N == 1:
ans = [min(map(int, input().split())) for _ in range(Q)]
print(*ans, sep="\n")
exit()
ans = [-1] * Q
for i in range(Q):
x, y = map(int, input().split())
x... | output | 1 | 10,630 | 13 | 21,261 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a unique positive integer, and for every positive integer the... | instruction | 0 | 10,631 | 13 | 21,262 |
"Correct Solution:
```
import math
N, Q = map(int, input().split())
queries = []
for i in range(Q):
v, w = map(int, input().split())
queries.append([v, w])
if N == 1:
for v, w in queries:
print(min(v, w))
else:
for v, w in queries:
if 1 in [v, w]:
print(1)
else:
... | output | 1 | 10,631 | 13 | 21,263 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,632 | 13 | 21,264 |
Yes | output | 1 | 10,632 | 13 | 21,265 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,633 | 13 | 21,266 |
Yes | output | 1 | 10,633 | 13 | 21,267 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,634 | 13 | 21,268 |
Yes | output | 1 | 10,634 | 13 | 21,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,635 | 13 | 21,270 |
Yes | output | 1 | 10,635 | 13 | 21,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,636 | 13 | 21,272 |
No | output | 1 | 10,636 | 13 | 21,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,637 | 13 | 21,274 |
No | output | 1 | 10,637 | 13 | 21,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,638 | 13 | 21,276 |
No | output | 1 | 10,638 | 13 | 21,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N. Consider an infinite N-ary tree as shown below:
<image>
Figure: an infinite N-ary tree for the case N = 3
As shown in the figure, each vertex is indexed with a uni... | instruction | 0 | 10,639 | 13 | 21,278 |
No | output | 1 | 10,639 | 13 | 21,279 |
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