message stringlengths 2 20.1k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 1.95k 109k | cluster float64 17 17 | __index_level_0__ int64 3.91k 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2 | instruction | 0 | 17,969 | 17 | 35,938 |
Tags: dfs and similar, implementation
Correct Solution:
```
n,m=map(int,input().split())
ch=[False for i in range(n)]
a=[[]for i in range(n)]
va=[0]
def dfs(i):
if ch[i]:
return 0
if len(a[i])<2:
va[0]=0
re=0
ch[i]=True
for i in a[i]:
re+=dfs(i)
return re+1
for i in range(m):
x,y=map(int,input().split())
a[x - 1].append(y-1)
a[y - 1].append(x-1)
ans=0
for i in range(n):
if not ch[i]:
va[0] = 1
d=dfs(i)
if not(d==1) and d%2==1 and va[0]==1:
ans+=1
print(ans+(1 if not(n%2==ans%2)else 0))
# Made By Mostafa_Khaled
``` | output | 1 | 17,969 | 17 | 35,939 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2 | instruction | 0 | 17,970 | 17 | 35,940 |
Tags: dfs and similar, implementation
Correct Solution:
```
from collections import defaultdict as df
n,m=list(map(int,input().split()))
d=df(list)
for i in range(m):
a,b=list(map(int,input().split()))
d[a].append(b)
d[b].append(a)
visited=[0]*(n+1)
count=0
value=[0]*(n+1)
isolated=0
for i in range(1,n+1):
if visited[i]==False:
y=[]
visited[i]=True
y.append(i)
value[i]=1
if i not in d:
isolated+=1
continue
while(len(y)>0):
h=y.pop(0)
for j in d[h]:
if visited[j]==False:
visited[j]=True
y.append(j)
if value[h]==1:
value[j]=2
else:
value[j]=1
else:
if value[j]==value[h] and value[j]!=0:
count+=1
if (n-count//2)%2==1:
print(count//2 + 1)
else:
print(count//2)
``` | output | 1 | 17,970 | 17 | 35,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
from collections import defaultdict
from collections import deque
class graph:
def __init__(self,V):
self.nodes = defaultdict(list)
self.V = V
self.edges = []
def addEdge(self,u,v):
self.nodes[u].append(v)
self.nodes[v].append(u) #for undirected
def isbipartite(self,visited,startnode):
colors = [-1 for x in range(self.V)]
colors[0] = 0
q = deque([startnode])
while q:
curr = q.popleft()
if not visited[curr]:
for neighbor in self.nodes[curr]:
if colors[neighbor]!=colors[curr] or colors[neighbor]==-1:
colors[neighbor] = int(not colors[curr])
q.append(neighbor)
else:
colors[neighbor] = 2
visited[curr] = True
return colors
size,e = [int(x) for x in input().split()]
g = graph(size)
for i in range(e):
u,v = [int(x) for x in input().split()]
g.addEdge(u-1,v-1)
visited = [False for x in range(size)]
finalcolors = []
for startnode in range(0,size):
if not visited[startnode]:
finalcolors.extend(g.isbipartite(visited,startnode))
toremove = finalcolors.count(2)
if (size-toremove)%2==0:
print(toremove)
else:
print(toremove+1)
``` | instruction | 0 | 17,971 | 17 | 35,942 |
Yes | output | 1 | 17,971 | 17 | 35,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
n , m = map(int,input().split())
graph = [[0]*(n+1) for i in range(n+1)]
#print(graph)
visited = [-1]*(n+1)
for i in range(m):
u , v = map(int,input().split())
graph[u][v] = 1
graph[v][u] = 1
def dfs(i , v):
visited[i] = v
for j in range(1 , n + 1 ):
if graph[i][j] == 1 and visited[j] == -1:
dfs(j , 1-v)
for i in range(1 , n + 1 ):
if visited[i] == -1:
dfs(i , 1)
res = 0
for i in range(1,n+1):
for j in range(i+1 , n + 1 ):
#print(i , j)
if graph[i][j] == 1 and visited[i] == visited[j]:
res +=1
#print(res)
if (n - res) % 2 != 0 :
print(res + 1 )
else:
print(res)
``` | instruction | 0 | 17,972 | 17 | 35,944 |
Yes | output | 1 | 17,972 | 17 | 35,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
import sys
input = sys.stdin.readline
def dfs(node, parent, visited, cnt):
if visited[node] == visited[parent]:
# print(node, parent , 'jdfcbedkjfner')
cnt += 1
return cnt
elif visited[node] != -1:
return cnt
# print(node)
visited[node] = 1 - visited[parent]
for v in graph[node]:
if v != parent:
# print(v, node)
# print('v', v ,'parent', parent, 'cur', v)
cnt = dfs(v, node, visited, cnt)
return cnt
n,m = map(int, input().split())
visited = [-1] * (n+1)
visited.append(1)
graph = {}
for i in range(n):
graph[i+1] = []
for _ in range(m):
u, v = map(int, input().split())
graph[u].append(v)
graph[v].append(u)
cnt = 0
for i in range(1,n+1):
if visited[i] == -1:
cnt = dfs(i, -1, visited, cnt)
ans = cnt//2
if n-ans & 1:
ans +=1
print(ans)
``` | instruction | 0 | 17,973 | 17 | 35,946 |
Yes | output | 1 | 17,973 | 17 | 35,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
import pdb
def correct_colouring(x0, edges, visited, colouring):
s = [x0]
visited[x0] = True
colouring[x0] = 1
while s:
x = s.pop()
for neigh in edges[x]:
if not visited[neigh]:
visited[neigh] = True
colouring[neigh] = -colouring[x]
s.append(neigh)
elif colouring[neigh] == colouring[x]:
return False
return True
def solve():
n, m = map(int, input().split())
edges = [[] for _ in range(n+1)]
for _ in range(m):
i, j = map(int, input().split())
edges[i].append(j)
edges[j].append(i)
visited = [False for _ in range(n+1)]
colouring = [0 for _ in range(n+1)]
removed = 0
for x0 in range(1, n+1):
if not visited[x0]:
correct = correct_colouring(x0, edges, visited, colouring)
if not correct:
removed += 1
if (n - removed)% 2:
removed += 1
print(removed)
if __name__ == '__main__':
solve()
``` | instruction | 0 | 17,974 | 17 | 35,948 |
Yes | output | 1 | 17,974 | 17 | 35,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
def check_enemies(p,t, mtx):
for i in t:
if mtx[p][i]:
return False
return True
n,m = map(int, input().split())
mtx = [[False for j in range(n)] for i in range(n)]
for i in range(m):
a,b = map(int, input().split())
mtx[a-1][b-1] = True
mtx[b-1][a-1] = True
t1 = []
t2 = []
count = 0
for i in range(n):
if (check_enemies(i, t1, mtx)):
t1.append(i)
elif(check_enemies(i, t2, mtx)):
t2.append(i)
else:
count+=1
print(count)
``` | instruction | 0 | 17,975 | 17 | 35,950 |
No | output | 1 | 17,975 | 17 | 35,951 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
# Forming Teams
# url: https://codeforces.com/contest/216/problem/B
"""
Thinking time: ?
Coding time: ?
Debugging time: ?
-----------------------------
Total time: way too long :(
Number of Submissions: ?
"""
def assign_team(i):
def assign_to_team_1():
if not (teamOne.isdisjoint(archEnemies[i - 1])) and teamOne and archEnemies[i - 1]:
assign_to_team_2()
elif len(teamOne) < numberOfStudents // 2:
teamOne.add(i)
else:
assign_to_team_2()
def assign_to_team_2():
if not (teamTwo.isdisjoint(archEnemies[i - 1])) and teamTwo and archEnemies[i - 1]:
bench.add(i)
elif len(teamTwo) < numberOfStudents // 2:
teamTwo.add(i)
else:
bench.add(i)
assign_to_team_1()
numberOfStudents, NumberOfPairsOfArchEnemies = list(map(int, input().split(" ")))
archEnemies = [set() for i in range(numberOfStudents)]
teamOne = set()
teamTwo = set()
bench = set()
for i in range(NumberOfPairsOfArchEnemies):
firstStudent, secondStudent = list(map(int, input().split(" ")))
archEnemies[firstStudent - 1].add(secondStudent)
archEnemies[secondStudent - 1].add(firstStudent)
for i in range(1, numberOfStudents + 1):
if archEnemies[i - 1]:
assign_team(i)
print(len(bench))
``` | instruction | 0 | 17,976 | 17 | 35,952 |
No | output | 1 | 17,976 | 17 | 35,953 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
from sys import stdin,stdout
from math import gcd, ceil, sqrt
ii1 = lambda: int(stdin.readline().strip())
is1 = lambda: stdin.readline().strip()
iia = lambda: list(map(int, stdin.readline().strip().split()))
isa = lambda: stdin.readline().strip().split()
mod = 1000000007
n, m = iia()
arr = []
for _ in range(m):
arr.append(iia())
res = 0
while len(arr):
cur = arr[0]
t1,t2 = [*cur],[]
for i in arr[1:]:
if i[0] in t1 or i[1] in t1:
t1.extend(i)
else:
t2.append(i)
d = {}
for i in t1:
d.setdefault(i, [0])[0] += 1
for i in d:
if d[i][0] != 2:
break
else:
res += 1
arr = t2[:]
if (n-res) % 2 != 0:
res += 1
print(res)
``` | instruction | 0 | 17,977 | 17 | 35,954 |
No | output | 1 | 17,977 | 17 | 35,955 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day n students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student A is an archenemy to student B, then student B is an archenemy to student A.
The students want to split so as no two archenemies were in one team. If splitting in the required manner is impossible, some students will have to sit on the bench.
Determine the minimum number of students you will have to send to the bench in order to form the two teams in the described manner and begin the game at last.
Input
The first line contains two integers n and m (2 β€ n β€ 100, 1 β€ m β€ 100) β the number of students and the number of pairs of archenemies correspondingly.
Next m lines describe enmity between students. Each enmity is described as two numbers ai and bi (1 β€ ai, bi β€ n, ai β bi) β the indexes of the students who are enemies to each other. Each enmity occurs in the list exactly once. It is guaranteed that each student has no more than two archenemies.
You can consider the students indexed in some manner with distinct integers from 1 to n.
Output
Print a single integer β the minimum number of students you will have to send to the bench in order to start the game.
Examples
Input
5 4
1 2
2 4
5 3
1 4
Output
1
Input
6 2
1 4
3 4
Output
0
Input
6 6
1 2
2 3
3 1
4 5
5 6
6 4
Output
2
Submitted Solution:
```
def arr_inp():
return [int(x) for x in stdin.readline().split()]
def solution1():
# graph solution
student = graph()
for i in range(m):
a, b = arr_inp()
student.add_edge(a, b)
ans = student.dfs()
return ans
def solution2():
# disjoint set solution
student, ans = disjointset(n), 0
for i in range(m):
a, b = arr_inp()
student.union(a, b)
par1, par2 = student.find(a), student.find(b)
if par1 == par2:
if student.count[par1] & 1 and student.count[par1] >= 3:
ans += 1
return ans
class graph:
# initialize graph
def __init__(self, gdict=None):
if gdict is None:
gdict = defaultdict(list)
self.gdict = gdict
# get edges
def edges(self):
return self.find_edges()
# find edges
def find_edges(self):
edges = []
for node in self.gdict:
for nxNode in self.gdict[node]:
if {nxNode, node} not in edges:
edges.append({node, nxNode})
return edges
# Get verticies
def get_vertices(self):
return list(self.gdict.keys())
# add vertix
def add_vertix(self, node):
self.gdict[node] = []
# add edge
def add_edge(self, node1, node2):
self.gdict[node1].append(node2)
self.gdict[node2].append(node1)
def dfsUtil(self, v, par):
self.visit[v] = 1
for i in self.gdict[v]:
if self.visit[i] == 0:
self.dfsUtil(i, v)
self.topsort += 1
elif i != par and v != par:
self.topsort += 1
self.flag = 1
# dfs for graph
def dfs(self):
self.visit, self.cnt, self.topsort, self.flag = defaultdict(int), 0, 0, 0
for i in self.get_vertices():
if self.visit[i] == 0:
self.dfsUtil(i, i)
if self.topsort & 1 and self.topsort >= 3 and self.flag:
self.cnt += 1
self.flag = 0
self.topsort = 0
return self.cnt
class disjointset:
def __init__(self, n):
self.rank, self.parent, self.n, self.nsets, self.count = defaultdict(int), defaultdict(int), n, n, defaultdict(
int)
for i in range(1, n + 1):
self.parent[i] = i
def find(self, x):
if self.parent[x] != x:
self.parent[x] = self.find(self.parent[x])
return self.parent[x]
def union(self, x, y):
xpar, ypar = self.find(x), self.find(y)
# already union
if xpar == ypar:
self.count[xpar] += self.count[ypar] + 1
return
# perform union by rank
if self.rank[xpar] < self.rank[ypar]:
self.parent[xpar] = ypar
self.count[ypar] += self.count[xpar] + 1
elif self.rank[xpar] > self.rank[ypar]:
self.parent[ypar] = xpar
self.count[xpar] += self.count[ypar] + 1
else:
self.parent[xpar] = ypar
self.rank[ypar] += 1
self.count[ypar] += 1
self.nsets -= 1
from collections import defaultdict
from sys import stdin
n, m = arr_inp()
ans = solution2()
print(ans + 1 if (n - ans) & 1 else ans)
``` | instruction | 0 | 17,978 | 17 | 35,956 |
No | output | 1 | 17,978 | 17 | 35,957 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
#!/usr/bin/env python3
[n, m] = map(int, input().strip().split())
ais = list(map(int, input().strip().split()))
bis = list(map(int, input().strip().split()))
ais = [set(ais[2*i: 2*i + 2]) for i in range(n)]
bis = [set(bis[2*i: 2*i + 2]) for i in range(m)]
def check(pair, pairs):
res = []
for p in pairs:
s = pair & p
if len(s) == 1:
res.append(s.pop())
res = list(set(res))
if len(res) == 1:
return res[0]
elif len(res) > 1:
return -1
else:
return 0
va = [check(a, bis) for a in ais]
vb = [check(b, ais) for b in bis]
vap = [v for v in va if v > 0]
vbp = [v for v in vb if v > 0]
vap = set(vap)
vbp = set(vbp)
vabp = vap & vbp
if -1 in va or -1 in vb:
print (-1)
elif len(vabp) > 1:
print (0)
else:
print (vabp.pop())
# Made By Mostafa_Khaled
``` | instruction | 0 | 18,294 | 17 | 36,588 |
Yes | output | 1 | 18,294 | 17 | 36,589 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
n,m=list(map(int, input().split() ) )
s1=list(map(int, input().split() ) )
s2=list(map(int, input().split() ) )
p1=[]
p2=[]
for i in range(n):
p1.append([s1[i*2], s1[i*2+1] ])
for i in range(m):
p2.append([s2[i*2], s2[i*2+1] ])
def check(pair1, pair2):
a1,b1=pair1[0], pair1[1]
a2,b2=pair2[0], pair2[1]
if a1==a2 and b1!=b2 or a1==b2 and a2!=b1 or b1==a2 and a1!=b2 or b1==b2 and a1!=a2:
return True
else:
return False
def same(p1,p2):
if p1[0]==p2[0] or p1[0]==p2[1]:
t=p1[0]
else:
t=p1[1]
return t
c1=[]
c2=[]
for i in range(n):
ad=set()
for j in range(m):
if check(p1[i], p2[j]):
ad.add(same(p1[i], p2[j]))
c1.append(list(ad))
for i in range(m):
ad=set()
for j in range(n):
if check(p2[i], p1[j]):
ad.add(same(p2[i], p1[j]))
c2.append(list(ad))
maxlen1=0
maxlen2=0
for i in c1:
if len(i)>maxlen1:
maxlen1=len(i)
pair2=i[0]
for i in c2:
if len(i)>maxlen2:
maxlen2=len(i)
pair1=i[0]
if maxlen1>=2 or maxlen2>=2:
print(-1)
else:
vars=set()
for i in c1:
if len(i)!=0:
vars.add(i[0])
if len(vars)==1:
print(vars.pop())
else:
print(0)
``` | instruction | 0 | 18,295 | 17 | 36,590 |
Yes | output | 1 | 18,295 | 17 | 36,591 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
n, m = map(int, input().strip().split())
a = list(map(int, input().strip().split()))
b = list(map(int, input().strip().split()))
a = [sorted([a[i], a[i+1]]) for i in range(0, 2*n, 2)]
b = [sorted([b[i], b[i+1]]) for i in range(0, 2*m, 2)]
# print(a)
# print(b)
used_i = set()
used_j = set()
res = list()
for x in range(1, 10):
new_i = set()
new_j = set()
for i in range(n):
if a[i][0] == x or a[i][1] == x:
for j in range(m):
if (b[j][0] == x or b[j][1] == x) and (a[i] != b[j]):
if i in used_i or j in used_j:
print('-1')
exit(0)
new_i.add(i)
new_j.add(j)
if len(new_i) > 0 or len(new_j) > 0:
res.append(x)
used_i.update(new_i)
used_j.update(new_j)
# print(res)
if len(res) == 1:
print(res[0])
else:
print('0')
``` | instruction | 0 | 18,296 | 17 | 36,592 |
Yes | output | 1 | 18,296 | 17 | 36,593 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
#!/usr/bin/env python3
[n, m] = map(int, input().strip().split())
ais = list(map(int, input().strip().split()))
bis = list(map(int, input().strip().split()))
ais = [set(ais[2*i: 2*i + 2]) for i in range(n)]
bis = [set(bis[2*i: 2*i + 2]) for i in range(m)]
def check(pair, pairs):
res = []
for p in pairs:
s = pair & p
if len(s) == 1:
res.append(s.pop())
res = list(set(res))
if len(res) == 1:
return res[0]
elif len(res) > 1:
return -1
else:
return 0
va = [check(a, bis) for a in ais]
vb = [check(b, ais) for b in bis]
vap = [v for v in va if v > 0]
vbp = [v for v in vb if v > 0]
vap = set(vap)
vbp = set(vbp)
vabp = vap & vbp
if -1 in va or -1 in vb:
print (-1)
elif len(vabp) > 1:
print (0)
else:
print (vabp.pop())
``` | instruction | 0 | 18,297 | 17 | 36,594 |
Yes | output | 1 | 18,297 | 17 | 36,595 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
n, m = map(int, input().split())
f, s = list(map(int, input().split())), list(map(int, input().split()))
tf = [(min(f[i], f[i + 1]), max(f[i], f[i + 1])) for i in range(0, 2 * n, 2)]
ts = [(min(s[i], s[i + 1]), max(s[i], s[i + 1])) for i in range(0, 2 * m, 2)]
cnt = 0
ans = set()
for t in tf:
d = set()
for t2 in ts:
if t == t2: continue
for i in range(1, 10):
if (t[0] == i or t[1] == i) and (t2[0] == i or t2[1] == i):
d.add(i)
if len(d) > 1:
print(-1)
exit()
elif len(d) == 1:
cnt += 1
for x in d:
ans.add(x)
if len(ans) == 1:
print(*ans)
else:
print(0)
``` | instruction | 0 | 18,298 | 17 | 36,596 |
No | output | 1 | 18,298 | 17 | 36,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
from sys import stdin, stdout
n, m = map(int, stdin.readline().split())
p1, p2 = [], []
challengers = list(map(int, stdin.readline().split()))
for i in range(n):
p1.append((challengers[i * 2], challengers[i * 2 + 1]))
challengers = list(map(int, stdin.readline().split()))
for i in range(m):
p2.append((challengers[i * 2], challengers[i * 2 + 1]))
label = -1
X = 10
count = [0 for i in range(X)]
for x in range(1, X):
for i in range(n):
if x not in p1[i]:
continue
for j in range(m):
if x not in p2[j]:
continue
if len(set(p1[i]) & set(p2[j])) == 1:
count[x] += 1
c = x
if count.count(0) == 9:
stdout.write(str(c))
else:
for p in p1:
if count[p[0]] and count[p[1]]:
stdout.write('-1')
break
else:
for p in p2:
if count[p[0]] and count[p[1]]:
stdout.write('-1')
break
else:
stdout.write('0')
``` | instruction | 0 | 18,299 | 17 | 36,598 |
No | output | 1 | 18,299 | 17 | 36,599 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
from collections import defaultdict
def solve(s1, s2):
d = defaultdict(list)
for t1, t2 in s1:
d[t1].append(t2)
d[t2].append(t1)
ans = set()
for t1, t2 in s2:
if len(d[t1]) > 0 and len(d[t2]) == 0:
ans.add(t1)
elif len(d[t1]) == 0 and len(d[t2]) > 0:
ans.add(t2)
elif len(d[t1]) > 0 and len(d[t2]) > 0:
return -1
if len(ans) > 1:
return 10
if len(ans) == 1:
return list(ans)[0]
return -1
n, m = [int(x) for x in input().strip().split()]
a = [int(x) for x in input().strip().split()]
b = [int(x) for x in input().strip().split()]
a = set(tuple(sorted([a[i*2], a[i*2+1]])) for i in range(n))
b = set(tuple(sorted([b[i*2], b[i*2+1]])) for i in range(m))
same = a.intersection(b)
a.difference_update(same)
b.difference_update(same)
ans = min(solve(a, b), solve(b, a))
print(ans if ans < 10 else 0)
``` | instruction | 0 | 18,300 | 17 | 36,600 |
No | output | 1 | 18,300 | 17 | 36,601 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.
Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.
Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.
Input
The first line contains two integers n and m (1 β€ n, m β€ 12) β the number of pairs the first participant communicated to the second and vice versa.
The second line contains n pairs of integers, each between 1 and 9, β pairs of numbers communicated from first participant to the second.
The third line contains m pairs of integers, each between 1 and 9, β pairs of numbers communicated from the second participant to the first.
All pairs within each set are distinct (in particular, if there is a pair (1,2), there will be no pair (2,1) within the same set), and no pair contains the same number twice.
It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.
Output
If you can deduce the shared number with certainty, print that number.
If you can with certainty deduce that both participants know the shared number, but you do not know it, print 0.
Otherwise print -1.
Examples
Input
2 2
1 2 3 4
1 5 3 4
Output
1
Input
2 2
1 2 3 4
1 5 6 4
Output
0
Input
2 3
1 2 4 5
1 2 1 3 2 3
Output
-1
Note
In the first example the first participant communicated pairs (1,2) and (3,4), and the second communicated (1,5), (3,4). Since we know that the actual pairs they received share exactly one number, it can't be that they both have (3,4). Thus, the first participant has (1,2) and the second has (1,5), and at this point you already know the shared number is 1.
In the second example either the first participant has (1,2) and the second has (1,5), or the first has (3,4) and the second has (6,4). In the first case both of them know the shared number is 1, in the second case both of them know the shared number is 4. You don't have enough information to tell 1 and 4 apart.
In the third case if the first participant was given (1,2), they don't know what the shared number is, since from their perspective the second participant might have been given either (1,3), in which case the shared number is 1, or (2,3), in which case the shared number is 2. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is -1.
Submitted Solution:
```
n, m = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
SA = []
for i in range(2*n):
if i%2 == 0:
SA.append((A[i], A[i+1]))
SB = []
for i in range(2*m):
if i%2 == 0:
SB.append((B[i], B[i+1]))
#print(SA)
#print(SB)
C = [[] for i in range(n)]
for i in range(n):
a, b = SA[i]
for j in range(m):
c, d = SB[j]
if len({a, b}&{c, d}) == 1:
C[i].append(j)
#print(C)
ans = -1
cnt = 0
for i in range(n):
if len(C[i]) >= 2:
print(-1)
exit()
if len(C[i]) == 1:
j = C[i][0]
ans = set(SA[i])&set(SB[j])
ans = list(ans)
ans = ans[0]
cnt += 1
if cnt == 1:
print(ans)
else:
print(0)
``` | instruction | 0 | 18,301 | 17 | 36,602 |
No | output | 1 | 18,301 | 17 | 36,603 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,474 | 17 | 36,948 |
"Correct Solution:
```
tmp_list1=[]
tmp_list2=[]
for i in range(4):
num=int(input())
tmp_list1.append(num)
for i in range(2):
num=int(input())
tmp_list2.append(num)
final_ans = sum(sorted(tmp_list1, reverse=True)[0:3])+max(tmp_list2)
print(final_ans)
``` | output | 1 | 18,474 | 17 | 36,949 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,475 | 17 | 36,950 |
"Correct Solution:
```
a = [int(input()) for i in range(6)]
m=sum(a[0:4])-min(a[0:4])
n=sum(a[4:6])-min(a[4:6])
print(m+n)
``` | output | 1 | 18,475 | 17 | 36,951 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,476 | 17 | 36,952 |
"Correct Solution:
```
lst=[]
for i in range(4):
n=int(input())
lst.append(n)
lst.remove(min(lst))
lst2=[]
for i in range(2):
n=int(input())
lst2.append(n)
print(sum(lst)+max(lst2))
``` | output | 1 | 18,476 | 17 | 36,953 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,477 | 17 | 36,954 |
"Correct Solution:
```
i = [int(input()) for i in range(4)]
j = [int(input()) for j in range(2)]
print(sum(i)-min(i)+max(j))
``` | output | 1 | 18,477 | 17 | 36,955 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,478 | 17 | 36,956 |
"Correct Solution:
```
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
f=int(input())
x=[a,b,c,d]
s=sum(x)-min(x)
print(s+max(e,f))
``` | output | 1 | 18,478 | 17 | 36,957 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,479 | 17 | 36,958 |
"Correct Solution:
```
i=0
x=[0,0,0,0,0,0]
k=0
while i<6 :
x[i]=int(input())
i=1+i
while k<3 :
if x[k]<x[k+1] :
ex=x[k]
x[k]=x[k+1]
x[k+1]=ex
k=k+1
if int(x[4])<int(x[5]) : ave=x[0]+x[1]+x[2]+x[5]
else : ave=x[0]+x[1]+x[2]+x[4]
print(ave)
``` | output | 1 | 18,479 | 17 | 36,959 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,480 | 17 | 36,960 |
"Correct Solution:
```
a=[int(input()) for _ in range(4)]
b=[int(input()) for _ in range(2)]
a.sort()
b.sort()
print(sum(a[1:])+b[1])
``` | output | 1 | 18,480 | 17 | 36,961 |
Provide a correct Python 3 solution for this coding contest problem.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228 | instruction | 0 | 18,481 | 17 | 36,962 |
"Correct Solution:
```
min1,min2=100,100
sum1,sum2=0,0
for i in range(4):
a=int(input())
sum1+=a
if a<min1:
min1=a
sum1=sum1-min1
for j in range(2):
b=int(input())
sum2+=b
if b<min2:
min2=b
sum2=sum2-min2
print(sum1+sum2)
``` | output | 1 | 18,481 | 17 | 36,963 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
A=int(input())
B=int(input())
C=int(input())
D=int(input())
E=int(input())
F=int(input())
print(A+B+C+D+E+F-min(A,B,C,D)-min(E,F))
``` | instruction | 0 | 18,482 | 17 | 36,964 |
Yes | output | 1 | 18,482 | 17 | 36,965 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
abcdef = [int(input()) for i in range(6)]
abcd = abcdef[0:4]
ef = abcdef[4:6]
#print(abcd)
#print(ef)
def quicksort(list):
if len(list) < 2:
return list
else:
pivot = list[0]
#pivotγγγε°γγθ¦η΄ γε
¨γ¦ε«γγ ι¨ει
ε
less = [i for i in list[1:] if i <= pivot]
#pivotγγγ倧γγθ¦η΄ γε«γγ ι¨ει
ε
greater = [i for i in list[1:] if i > pivot]
return quicksort(greater) + [pivot] + quicksort(less)
s_abcd = quicksort(abcd)
s_ef = quicksort(ef)
#print(s_abcd)
#print(s_ef)
sum = 0
for i in s_abcd[0:3]:
sum = sum + i
best = sum + s_ef[0]
print(best)
``` | instruction | 0 | 18,483 | 17 | 36,966 |
Yes | output | 1 | 18,483 | 17 | 36,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
a,b = [],[]
for i in range(4):
a.append(int(input()))
for i in range(2):
b.append(int(input()))
a.sort(reverse=True)
b.sort(reverse=True)
print(a[0]+a[1]+a[2]+b[0])
``` | instruction | 0 | 18,484 | 17 | 36,968 |
Yes | output | 1 | 18,484 | 17 | 36,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
f=int(input())
x = (a,b,c,d)
y = (e,f)
z = min(x)
w = sum(x)
z = w-z
g = z+max(y)
print(g)
``` | instruction | 0 | 18,485 | 17 | 36,970 |
Yes | output | 1 | 18,485 | 17 | 36,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
points = []
for i in range(6):
points.append(int(input())
print(sum(sorted(points, reverse=True)[:3]))
``` | instruction | 0 | 18,486 | 17 | 36,972 |
No | output | 1 | 18,486 | 17 | 36,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
a,b,c,d,e,f = map(int, input().split())
x = a + b + c + d + e + f
y = 100000
for i in (a,b,c,d):
if y > i : y = i
z = 0
if e < f : z = f
else z = e
print (x - y - z)
``` | instruction | 0 | 18,487 | 17 | 36,974 |
No | output | 1 | 18,487 | 17 | 36,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
A = int(input())
B = int(input())
C = int(input())
D = int(input())
E = int(input())
F = int(input())
print(sum(sorted([A, B, C, D])[:3]) + max(E, F))
``` | instruction | 0 | 18,488 | 17 | 36,976 |
No | output | 1 | 18,488 | 17 | 36,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from 2 subjects of history and geography.
When choosing a subject so that the total score of the test is the highest, find the total score of the test of the subject selected by JOI.
input
The input consists of 6 lines, with one integer written on each line.
On the first line, JOI's physics test score A is written.
On the second line, JOI's chemistry test score B is written.
On the third line, JOI's biological test score C is written.
On the 4th line, JOI's earth science test score D is written.
On the 5th line, JOI's history test score E is written.
On the 6th line, JOI's geography test score F is written.
The written integers A, B, C, D, E, and F are all 0 or more and 100 or less.
output
JOI Output the total score of the test of the subject you chose in one line.
Input / output example
Input example 1
100
34
76
42
Ten
0
Output example 1
228
Input example 2
15
twenty one
15
42
15
62
Output example 2
140
In I / O Example 1, when JOI chooses four subjects: physics, biology, earth science, and history, the total score of the test is the highest.
The scores for physics, biology, earth science, and history are 100, 76, 42, and 10, respectively, so the total score for the tests of the selected subject is 228.
In I / O Example 2, when JOI chooses four subjects: chemistry, biology, earth science, and geography, the total score of the test is the highest.
The scores for chemistry, biology, earth science, and geography are 21, 15, 42, and 62, respectively, so the total score for the tests of the selected subject is 140.
In Input / Output Example 2, even if JOI chooses four subjects: physics, chemistry, earth science, and geography, the total score of the chosen test is 140.
Creative Commons License
Information Olympics Japan Committee work "15th Japan Information Olympics JOI 2015/2016 Qualifying Competition Tasks"
Example
Input
100
34
76
42
10
0
Output
228
Submitted Solution:
```
a,b,c,d,e,f = map(int, input().split())
x = a + b + c + d + e + f
y = 100000
for i in (a,b,c,d):
if y > i : y = i
z = 0
if e < f : z = f
else : z = e
print (x - y - z)
``` | instruction | 0 | 18,489 | 17 | 36,978 |
No | output | 1 | 18,489 | 17 | 36,979 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,917 | 17 | 37,834 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
s=input().split()
exp=int(s[0])
nub=int(s[1])
grupo=0
while exp!=0 and nub!=0:
if not(exp==1 and nub ==1):
if exp>nub:
exp-=2
nub-=1
grupo+=1
else:
exp-=1
nub-=2
grupo+=1
else:
exp-=1
print(grupo)
``` | output | 1 | 18,917 | 17 | 37,835 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,918 | 17 | 37,836 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
n,m=map(int,input().split())
c=0
while(n>0 and m>0):
if n==1 and m==1:
break
elif n>m:
c+=1
n-=2
m-=1
else:
m-=2
n-=1
c+=1
print(c)
``` | output | 1 | 18,918 | 17 | 37,837 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,919 | 17 | 37,838 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
m, n = input().split(' ')
m = int(m)
n = int(n)
lb = m//2
ub = 2*m
if n >= ub:
print(m)
elif n <= lb:
print(n)
else:
print((m+n)//3)
``` | output | 1 | 18,919 | 17 | 37,839 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,920 | 17 | 37,840 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
n,m=map(int,input().split())
mn=min(m,n)
mx=max(m,n)
print((mn+min(2*mn,mx))//3)
``` | output | 1 | 18,920 | 17 | 37,841 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,921 | 17 | 37,842 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
experts,noob=list(map(int,input().split(" ")))
count=0
while experts>0 and noob>0:
if experts == 1 and noob == 1:
break
if experts>=noob:
count+=1
experts-=2
noob-=1
elif noob>experts:
noob-=2
experts-=1
count+=1
print(count)
``` | output | 1 | 18,921 | 17 | 37,843 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,922 | 17 | 37,844 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
n,m = list(map(int,input().strip().split()))
count = 0
while n >= 1 and m >= 1:
if n != 1 or m != 1:
count += 1
if n >= m:
m = m - 1
n = n - 2
else:
m = m - 2
n -= 1
print(count)
``` | output | 1 | 18,922 | 17 | 37,845 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,923 | 17 | 37,846 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
'''input
5 10
'''
t = 0
n, m = map(int, input().split())
if n == m:
print(2 * n // 3)
else:
for x in range(n+1):
if m - 2*x >= 0:
t = max(t, x+min(m - 2*x, (n - x)//2))
print(t)
``` | output | 1 | 18,923 | 17 | 37,847 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB). | instruction | 0 | 18,924 | 17 | 37,848 |
Tags: greedy, implementation, math, number theory
Correct Solution:
```
a,b=map(int,input().split())
i=0
ans=0
while True:
if a>=b:
if a==0 or b==0 or a+b<3:
break
else:
ans=ans+1
a=a-2
b=b-1
else:
if a==0 or b==0 or a+b<3:
break
else:
ans=ans+1
a=a-1
b=b-2
i=i+1
print(ans)
``` | output | 1 | 18,924 | 17 | 37,849 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
import sys
import collections
from collections import Counter
import itertools
import math
import timeit
#input = sys.stdin.readline
#########################
# imgur.com/Pkt7iIf.png #
#########################
def sieve(n):
if n < 2: return list()
prime = [True for _ in range(n + 1)]
p = 3
while p * p <= n:
if prime[p]:
for i in range(p * 2, n + 1, p):
prime[i] = False
p += 2
r = [2]
for p in range(3, n + 1, 2):
if prime[p]:
r.append(p)
return r
def divs(n, start=1):
divisors = []
for i in range(start, int(math.sqrt(n) + 1)):
if n % i == 0:
if n / i == i:
divisors.append(i)
else:
divisors.extend([i, n // i])
return divisors
def divn(n, primes):
divs_number = 1
for i in primes:
if n == 1:
return divs_number
t = 1
while n % i == 0:
t += 1
n //= i
divs_number *= t
def flin(d, x, default = -1):
left = right = -1
for i in range(len(d)):
if d[i] == x:
if left == -1: left = i
right = i
if left == -1:
return (default, default)
else:
return (left, right)
def ceil(n, k): return n // k + (n % k != 0)
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(map(int, input().split()))
def lcm(a, b): return abs(a * b) // math.gcd(a, b)
def prr(a, sep=' '): print(sep.join(map(str, a)))
def dd(): return collections.defaultdict(int)
def ddl(): return collections.defaultdict(list)
a, b = mi()
if a > b: a, b = b, a
print(min(b - a, a) + (2 * (a - min(b - a, a))) // 3)
``` | instruction | 0 | 18,925 | 17 | 37,850 |
Yes | output | 1 | 18,925 | 17 | 37,851 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
n,m = sorted(map(int,input().split()))
cnt = 0
while m and n and (m>=2 or n>=2):
if m>=n:
m-=2
n-=1
else:
n-=2
m-=1
cnt+=1
print(cnt)
``` | instruction | 0 | 18,926 | 17 | 37,852 |
Yes | output | 1 | 18,926 | 17 | 37,853 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
a,b = input().split()
c = int(a) + int(b)
d = c//3
if d <= min(int(a),int(b)):
print (d)
else:
print(min(int(a),int(b)))
``` | instruction | 0 | 18,927 | 17 | 37,854 |
Yes | output | 1 | 18,927 | 17 | 37,855 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
n,m=(map(int,input().rstrip().split()))
mn=min(n,m,(n+m)//3)
print(mn)
``` | instruction | 0 | 18,928 | 17 | 37,856 |
Yes | output | 1 | 18,928 | 17 | 37,857 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
n,m=[int(x) for x in input().split()]
print((2*n-m)//3+(2*m-n)//3)
``` | instruction | 0 | 18,929 | 17 | 37,858 |
No | output | 1 | 18,929 | 17 | 37,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
import math
n,m= map(int,input().split())
ans=0
for i in range(n):
cur=i
leftn= n-i
leftm= m-2*i
if leftm>=0:
cur+=min(leftm,math.ceil(leftn/2))
ans= max(ans,cur)
print(ans)
``` | instruction | 0 | 18,930 | 17 | 37,860 |
No | output | 1 | 18,930 | 17 | 37,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
n, m = list(map(int, input().split(" ")))
teams = 0
if n + m < 3:
print(0)
else:
while n != 0 and m != 0:
if n > m:
n -= 2
m -= 1
teams += 1
else:
m -= 2
n -= 1
teams += 1
print(teams)
``` | instruction | 0 | 18,931 | 17 | 37,862 |
No | output | 1 | 18,931 | 17 | 37,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A and B are preparing themselves for programming contests.
An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solving problems together with experienced participants.
A believes that the optimal team of three people should consist of one experienced participant and two newbies. Thus, each experienced participant can share the experience with a large number of people.
However, B believes that the optimal team should have two experienced members plus one newbie. Thus, each newbie can gain more knowledge and experience.
As a result, A and B have decided that all the teams during the training session should belong to one of the two types described above. Furthermore, they agree that the total number of teams should be as much as possible.
There are n experienced members and m newbies on the training session. Can you calculate what maximum number of teams can be formed?
Input
The first line contains two integers n and m (0 β€ n, m β€ 5Β·105) β the number of experienced participants and newbies that are present at the training session.
Output
Print the maximum number of teams that can be formed.
Examples
Input
2 6
Output
2
Input
4 5
Output
3
Note
Let's represent the experienced players as XP and newbies as NB.
In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB).
In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
Submitted Solution:
```
n,m=(int(i) for i in input().split())
k1=max(n,m)
k2=min(n,m)
if(k1<=1):
print(0)
elif(k2<=2*k1):
print(k2)
else:
print((n+m)//3)
``` | instruction | 0 | 18,932 | 17 | 37,864 |
No | output | 1 | 18,932 | 17 | 37,865 |
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