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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Marcin is a coach in his university. There are n students who want to attend a training camp. Marcin is a smart coach, so he wants to send only the students that can work calmly with each other.
Let's focus on the students. They are indexed with integers from 1 to n. Each of them can be described with two integers a_i and b_i; b_i is equal to the skill level of the i-th student (the higher, the better). Also, there are 60 known algorithms, which are numbered with integers from 0 to 59. If the i-th student knows the j-th algorithm, then the j-th bit (2^j) is set in the binary representation of a_i. Otherwise, this bit is not set.
Student x thinks that he is better than student y if and only if x knows some algorithm which y doesn't know. Note that two students can think that they are better than each other. A group of students can work together calmly if no student in this group thinks that he is better than everyone else in this group.
Marcin wants to send a group of at least two students which will work together calmly and will have the maximum possible sum of the skill levels. What is this sum?
Input
The first line contains one integer n (1 ≤ n ≤ 7000) — the number of students interested in the camp.
The second line contains n integers. The i-th of them is a_i (0 ≤ a_i < 2^{60}).
The third line contains n integers. The i-th of them is b_i (1 ≤ b_i ≤ 10^9).
Output
Output one integer which denotes the maximum sum of b_i over the students in a group of students which can work together calmly. If no group of at least two students can work together calmly, print 0.
Examples
Input
4
3 2 3 6
2 8 5 10
Output
15
Input
3
1 2 3
1 2 3
Output
0
Input
1
0
1
Output
0
Note
In the first sample test, it's optimal to send the first, the second and the third student to the camp. It's also possible to send only the first and the third student, but they'd have a lower sum of b_i.
In the second test, in each group of at least two students someone will always think that he is better than everyone else in the subset.
Submitted Solution:
```
n1 = int(input())
n2 = input().split()
n3 = input().split()
a = {
}
for i in range(len(n2)):
try :
if len(a[n2[i]]) > 0:
a[n2[i]].append(n3[i])
except KeyError:
a[n2[i]] = []
a[n2[i]].append(n3[i])
val = 0
check = False
in_num = 0
k_sorted = n2[0:len(n2)]
k_sorted.sort()
for i in a:
if len(a[i]) >= 2:
summing = 0
for k in a[i]:
summing += int(k)
if summing >= in_num:
in_num = summing
check = True
val = i
if check == True:
summed = 0
for i in n2:
if i <= val:
if a[i][len(a[i])-1] != True:
for j in a[i]:
summed += int(j)
a[i].append(True)
print(summed)
else:
print(0)
``` | instruction | 0 | 55,698 | 17 | 111,396 |
No | output | 1 | 55,698 | 17 | 111,397 |
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response.
Marcin is a coach in his university. There are n students who want to attend a training camp. Marcin is a smart coach, so he wants to send only the students that can work calmly with each other.
Let's focus on the students. They are indexed with integers from 1 to n. Each of them can be described with two integers a_i and b_i; b_i is equal to the skill level of the i-th student (the higher, the better). Also, there are 60 known algorithms, which are numbered with integers from 0 to 59. If the i-th student knows the j-th algorithm, then the j-th bit (2^j) is set in the binary representation of a_i. Otherwise, this bit is not set.
Student x thinks that he is better than student y if and only if x knows some algorithm which y doesn't know. Note that two students can think that they are better than each other. A group of students can work together calmly if no student in this group thinks that he is better than everyone else in this group.
Marcin wants to send a group of at least two students which will work together calmly and will have the maximum possible sum of the skill levels. What is this sum?
Input
The first line contains one integer n (1 ≤ n ≤ 7000) — the number of students interested in the camp.
The second line contains n integers. The i-th of them is a_i (0 ≤ a_i < 2^{60}).
The third line contains n integers. The i-th of them is b_i (1 ≤ b_i ≤ 10^9).
Output
Output one integer which denotes the maximum sum of b_i over the students in a group of students which can work together calmly. If no group of at least two students can work together calmly, print 0.
Examples
Input
4
3 2 3 6
2 8 5 10
Output
15
Input
3
1 2 3
1 2 3
Output
0
Input
1
0
1
Output
0
Note
In the first sample test, it's optimal to send the first, the second and the third student to the camp. It's also possible to send only the first and the third student, but they'd have a lower sum of b_i.
In the second test, in each group of at least two students someone will always think that he is better than everyone else in the subset.
Submitted Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_arr():
return map(int,raw_input().split())
def pr_num(n):
stdout.write(str(n)+'\n')
def pr_arr(arr):
for i in arr:
stdout.write(str(i)+' ')
stdout.write('\n')
range = xrange # not for python 3.0+
n=input()
a=in_arr()
b=in_arr()
cnt=Counter(a)
d=Counter()
for i in range(n):
d[a[i]]+=b[i]
ans=0
vis=Counter()
for i in d:
if cnt[i]<=1:
continue
if vis[i]:
continue
temp=d[i]
for j in d:
if i!=j and not vis[j]:
if (i^j)-((i^j)&i)==0:
#print i,j
vis[j]=1
temp+=d[j]
ans+=temp
pr_num(ans)
``` | instruction | 0 | 55,699 | 17 | 111,398 |
No | output | 1 | 55,699 | 17 | 111,399 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,372 | 17 | 112,744 |
"Correct Solution:
```
n, m = [int(i) for i in input().split()]
a = [int(i) for i in input().split()]
print(sum(x > m for x in a))
``` | output | 1 | 56,372 | 17 | 112,745 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,373 | 17 | 112,746 |
"Correct Solution:
```
N,M = map(int,input().split())
A = list(map(int,input().split()))
cnt = 0
for a in A:
if a <= M:
cnt += 1
print(M - cnt)
``` | output | 1 | 56,373 | 17 | 112,747 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,374 | 17 | 112,748 |
"Correct Solution:
```
#coding onsmartphon
n,m=map(int,input().split())
print(m-len(list(filter(lambda x:x<=m,[int(x) for x in input().split()]))))
``` | output | 1 | 56,374 | 17 | 112,749 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,375 | 17 | 112,750 |
"Correct Solution:
```
N, M = (int(x) for x in input().split())
A = (int(x) for x in input().split())
print(M - len([x for x in A if x <= M]))
``` | output | 1 | 56,375 | 17 | 112,751 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,376 | 17 | 112,752 |
"Correct Solution:
```
n,m = map(int,input().split())
a = list(map(int,input().split()))
ans = 0
for i in a:
if m < i:
ans += 1
print(ans)
``` | output | 1 | 56,376 | 17 | 112,753 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,377 | 17 | 112,754 |
"Correct Solution:
```
n,m = map(int, input().split())
a = list(map(int, input().split()))
num = m
for i in range(m):
if a[i] <= m:
num -= 1
print(num)
``` | output | 1 | 56,377 | 17 | 112,755 |
Provide a correct Python 3 solution for this coding contest problem.
problem
$ M $ students will be tested in a classroom with $ N $ seats in a straight line. Seats are numbered $ 1 \ dots N $ from the front, and $ 1 $ per seat can seat $ 1 $ students.
Now each student is sitting in the $ A_1, \ dots, A_M $ seats.
To start the test, the following conditions must be met:
* $ 1 \ dots M $ students are sitting in every seat.
Therefore, we decided to repeat the following operations until the conditions were met.
* Move the student sitting at the back and sit at the front of the vacant seats.
Find the number of operations required to meet the conditions.
output
Output the number of operations required to meet the conditions. Also, output a line break at the end.
Example
Input
6 4
1 4 5 6
Output
2 | instruction | 0 | 56,378 | 17 | 112,756 |
"Correct Solution:
```
import bisect
n,m=map(int,input().split())
a=list(map(int,input().split()))
x=bisect.bisect_left(a,m+1)
print(m-x)
``` | output | 1 | 56,378 | 17 | 112,757 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,487 | 17 | 112,974 |
Tags: binary search, math
Correct Solution:
```
q = int(input())
for i in range(q):
c, m, x = map(int, input().split())
kol = min(c, m, x)
c -= kol
m -= kol
x -= kol
if c == 0 or m == 0:
print(kol)
else:
l, r = 0, min(c, m) + 1
while r - l > 1:
mid = (r + l) // 2
ost = c - mid + m - mid - mid
if ost >= 0:
l = mid
else:
r = mid
print(kol + l)
``` | output | 1 | 56,487 | 17 | 112,975 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,488 | 17 | 112,976 |
Tags: binary search, math
Correct Solution:
```
n = int(input())
for i in range(n):
k,m,x = map(int,input().split())
mi = min(k,m)
if mi*3<=k+m+x:
print(mi)
else:
print((k+m+x)//3)
``` | output | 1 | 56,488 | 17 | 112,977 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,489 | 17 | 112,978 |
Tags: binary search, math
Correct Solution:
```
def ans(c,m,x):
print(min(c,m,(c+m+x)//3))
n=int(input())
for _ in range(n):
c,m,x=map(int,input().split())
ans(c,m,x)
``` | output | 1 | 56,489 | 17 | 112,979 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,490 | 17 | 112,980 |
Tags: binary search, math
Correct Solution:
```
def result(x, y, z):
if (z >= x) or (z >= y):
return min(x, y)
x -= z
y -= z
if x >= 2 * y:
return y + z
if y >= 2 * x:
return x + z
else:
return ((x + y) // 3 ) + z
q = int(input())
for qq in range(q):
x, y, z = map(int, input().split())
print(result(x, y, z))
``` | output | 1 | 56,490 | 17 | 112,981 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,491 | 17 | 112,982 |
Tags: binary search, math
Correct Solution:
```
q=int(input())
for i in range(q):
c,m,x=map(int,input().split())
if(min(c,m)==0 or (c+m+x<=2)):
print(0)
else:
if(min(c,m)>x):
if(max(c-x,m-x)>=2*min(c-x,m-x)):
print(x+min(c-x,m-x))
else:
print(x+((c-x)+(m-x))//3)
else:
print(min(c,m))
``` | output | 1 | 56,491 | 17 | 112,983 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,492 | 17 | 112,984 |
Tags: binary search, math
Correct Solution:
```
t = int(input())
for i in range(t):
c, m, x = map(int, input().split())
r = min(c, m)
a = abs(c - m) + x
if a >= r:
print(r)
else:
print ((2 * r + a) // 3)
``` | output | 1 | 56,492 | 17 | 112,985 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,493 | 17 | 112,986 |
Tags: binary search, math
Correct Solution:
```
q = int(input())
for _ in range(q):
c, m, x = map(int, input().split())
s = c + m + x
i = min(c, m)
if s//3 <= i:
print(s//3)
else:
print(min(i, s-i*2))
``` | output | 1 | 56,493 | 17 | 112,987 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians. | instruction | 0 | 56,494 | 17 | 112,988 |
Tags: binary search, math
Correct Solution:
```
t = int(input())
for i in range(t):
c,m,x = map(int,input().split())
ans = min(c,m,x)
c,m,x = c-ans,m-ans,x-ans
if c == 0 or m == 0:
print(ans)
else:
s = (c+x+m)//3
ans = ans +s + min(c-s,m-s,0)
print(ans)
``` | output | 1 | 56,494 | 17 | 112,989 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
q = int(input())
for _ in range(q):
c, m, x = map(int, input().split())
l = 0
r = min(c, m)
ans = 0
while l <= r:
mid = (l+r)//2
if (c + m + x - 2 * mid >= mid):
l = mid + 1
ans = mid
else:
r = mid-1
print(ans)
"""
t = max(m, c) - min(m, c)
if m < c:
c -= t
else:
m -= t
x += t
ans = min(m, c, x)
c -= ans
m -= ans
x -= ans
ans += (m+c)//3
print(ans)
"""
``` | instruction | 0 | 56,495 | 17 | 112,990 |
Yes | output | 1 | 56,495 | 17 | 112,991 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
for x in range(int(input())):
a,b,c=map(int,input().split())
d=min(a,b)
print(min((a+b+c)//3,d))
``` | instruction | 0 | 56,496 | 17 | 112,992 |
Yes | output | 1 | 56,496 | 17 | 112,993 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
n = int(input())
for i in range(n):
c, m, s = map(int,input().split())
bou = (c+m+s)//3
mi = min(c,m)
if(mi <= bou):print(mi)
else:print(bou)
``` | instruction | 0 | 56,497 | 17 | 112,994 |
Yes | output | 1 | 56,497 | 17 | 112,995 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
from math import floor
n = int(input())
for case in range(n):
l = [int(x) for x in input().split()]
l[2] = sum(l)//3
print(min(l))
``` | instruction | 0 | 56,498 | 17 | 112,996 |
Yes | output | 1 | 56,498 | 17 | 112,997 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
t = int(input())
for _ in range(t):
c, m, x = list(map(int, input().split()))
if c == 0 or m == 0:
print(0)
continue
ans = 0
cnt = min(c, m, x)
ans += cnt
c -= cnt
m -= cnt
x -= cnt
if m == c:
ans += (m+c)//3
else:
if m or c:
ans += min(max(m, c)//2, min(m, c))
print(ans)
``` | instruction | 0 | 56,499 | 17 | 112,998 |
No | output | 1 | 56,499 | 17 | 112,999 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
t = int(input())
for i in range (t) :
c, m, x = map(int, input().split())
if c is 0 or m is 0 or x+m+c < 3 :
print(0)
continue
else :
count = 0
if c >= x and m >= x :
count = x
c = c-x
m = m-x
else :
pass
if c>=m and c%2 == 0 :
c = c//2
p = min(c,m)
count = count + p
elif m>c and m%2 == 0 :
m = m//2
q = min(c,m)
count = count + q
elif c>m and c%2 != 0 :
c = c-1
c = c//2
p = min(c,m)
count = count + p
if m > 1 :
count = count + 1
else :
pass
else :
m = m-1
m = m//2
q = min(c,m)
count = count + q
if c > 1 :
count = count + 1
else :
pass
print(count)
``` | instruction | 0 | 56,500 | 17 | 113,000 |
No | output | 1 | 56,500 | 17 | 113,001 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
for _ in range(int(input())):
c,m,x=map(int,input().split())
mn=min(c,m,x)
if mn==c or mn==m: print(mn)
else: print((c+m+x)//3)
``` | instruction | 0 | 56,501 | 17 | 113,002 |
No | output | 1 | 56,501 | 17 | 113,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You may have already known that a standard ICPC team consists of exactly three members. The perfect team however has more restrictions. A student can have some specialization: coder or mathematician. She/he can have no specialization, but can't have both at the same time.
So the team is considered perfect if it includes at least one coder, at least one mathematician and it consists of exactly three members.
You are a coach at a very large university and you know that c of your students are coders, m are mathematicians and x have no specialization.
What is the maximum number of full perfect teams you can distribute them into?
Note that some students can be left without a team and each student can be a part of no more than one team.
You are also asked to answer q independent queries.
Input
The first line contains a single integer q (1 ≤ q ≤ 10^4) — the number of queries.
Each of the next q lines contains three integers c, m and x (0 ≤ c, m, x ≤ 10^8) — the number of coders, mathematicians and students without any specialization in the university, respectively.
Note that the no student is both coder and mathematician at the same time.
Output
Print q integers — the i-th of them should be the answer to the i query in the order they are given in the input. The answer is the maximum number of full perfect teams you can distribute your students into.
Example
Input
6
1 1 1
3 6 0
0 0 0
0 1 1
10 1 10
4 4 1
Output
1
3
0
0
1
3
Note
In the first example here are how teams are formed:
1. the only team of 1 coder, 1 mathematician and 1 without specialization;
2. all three teams consist of 1 coder and 2 mathematicians;
3. no teams can be formed;
4. no teams can be formed;
5. one team consists of 1 coder, 1 mathematician and 1 without specialization, the rest aren't able to form any team;
6. one team consists of 1 coder, 1 mathematician and 1 without specialization, one consists of 2 coders and 1 mathematician and one consists of 1 coder and 2 mathematicians.
Submitted Solution:
```
t = int(input())
for _ in range(t):
c, m, x = (map(int, input().rstrip().split(" ")))
t = 0
if x < min(c,m):
t = x
x = 0
c = c - x
m = m -x
t+= (m+c)//3
else:
mi = min(c,m)
t = min(mi, (max(c,m)+ x)//2)
print(t)
``` | instruction | 0 | 56,502 | 17 | 113,004 |
No | output | 1 | 56,502 | 17 | 113,005 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,076 | 17 | 114,152 |
"Correct Solution:
```
Q = int(input())
for i in range(Q) :
c, a, n = map(int, input().split())
teams = 0
mini = min(c, a, n)
teams += mini
c -= mini
a -= mini
n -= mini
mini = min(int(c/2), a)
teams += mini
c -= mini * 2
a -= mini
mini = int(c/3)
teams += mini
print(teams)
``` | output | 1 | 57,076 | 17 | 114,153 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,077 | 17 | 114,154 |
"Correct Solution:
```
for i in range(int(input())):
c,a,n = map(int,input().split())
cnt1 = min(c,a,n)
c -= cnt1
a -= cnt1
cnt2 = min(c//2,a)
c -= cnt2*2
cnt3 = c//3
print(cnt1+cnt2+cnt3)
``` | output | 1 | 57,077 | 17 | 114,155 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,078 | 17 | 114,156 |
"Correct Solution:
```
for i in range(int(input())):
res = 0
c,a,n = list(map(int,input().split()))
res = min(n,a,c)
c -= res
a -= res
if c >= 2 and a >= 1:
cca = min(c//2,a)
c -= cca*2
res += cca
if c >=3:
res += c//3
print(res)
``` | output | 1 | 57,078 | 17 | 114,157 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,079 | 17 | 114,158 |
"Correct Solution:
```
# coding: utf-8
# Your code here!
Q = int(input())
for l in range(Q):
c,a,n = [int(i) for i in input().split()]
ans = 0
while n > 0 and c > 0 and a > 0:
c = c - 1
a = a - 1
n = n - 1
ans = ans + 1
while a > 0 and c > 1:
c = c - 2
a = a - 1
ans = ans + 1
while c > 2:
c = c - 3
ans = ans + 1
print(ans)
``` | output | 1 | 57,079 | 17 | 114,159 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,080 | 17 | 114,160 |
"Correct Solution:
```
for _ in range(int(input())):
c,a,n=map(int,input().split())
b=min(c,a,n)
a,c=a-b,c-b
d=min(c//2,a)
c-=d*2
print(b+d+c//3)
``` | output | 1 | 57,080 | 17 | 114,161 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,081 | 17 | 114,162 |
"Correct Solution:
```
import sys
f = sys.stdin
q = int(f.readline())
for line in f:
c, a, n = map(int, line.split())
can = min(c,a,n)
c -= can
a -= can
cca = min(c // 2, a)
c -= cca * 2
ccc = c // 3
print(can + cca + ccc)
``` | output | 1 | 57,081 | 17 | 114,163 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,082 | 17 | 114,164 |
"Correct Solution:
```
n=int(input())
for i in range(n):
count=0
c,a,n=map(int,input().split())
while n>0 and a>0 and c>0:
n-=1
a-=1
c-=1
count+=1
while a>0 and c>1:
a-=1
c-=2
count+=1
while c>2:
c-=3
count+=1
print(count)
``` | output | 1 | 57,082 | 17 | 114,165 |
Provide a correct Python 3 solution for this coding contest problem.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0 | instruction | 0 | 57,083 | 17 | 114,166 |
"Correct Solution:
```
# Aizu Problem 0281: Formation
import sys, math, os
# read input:
PYDEV = os.environ.get('PYDEV')
if PYDEV=="True":
sys.stdin = open("sample-input.txt", "rt")
N = int(input())
for __ in range(N):
c, a, n = [int(_) for _ in input().split()]
ans = 0
while min(a, c, n) > 0:
ans += 1
c -= 1
a -= 1
n -= 1
while c > 1 and a > 0:
ans += 1
c -= 2
a -= 1
ans += c // 3
print(ans)
``` | output | 1 | 57,083 | 17 | 114,167 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0281
"""
import sys
from sys import stdin
input = stdin.readline
def solve(c, a, n):
CCA, CCC, CAN = 0, 0, 0
CAN = min(c, a, n) # CAN??????????????°
c -= CAN
a -= CAN
if a > 0 and c > 0:
CCA = min(a, c//2) # CCA??????????????°
c -= (CCA * 2)
if c > 2:
CCC = c // 3 # CCC??????????????°
return CAN + CCA + CCC
def main(args):
Q = int(input())
for _ in range(Q):
c, a, n = map(int, input().split())
ans = solve(c, a, n)
print(ans)
if __name__ == '__main__':
main(sys.argv[1:])
``` | instruction | 0 | 57,084 | 17 | 114,168 |
Yes | output | 1 | 57,084 | 17 | 114,169 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
for _ in range(int(input())):
c, a, n = map(int, input().split())
t = min(c, a, n)
c, a = c - t, a - t
t += min(a, c // 2)
c -= 2 * a
t += max(0, c // 3)
print(t)
``` | instruction | 0 | 57,085 | 17 | 114,170 |
Yes | output | 1 | 57,085 | 17 | 114,171 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
for i in range(int(input())):
c,a,n = map(int,input().split())
cnt = 0
while True:
if c<1 or a<1 or n<1:
break
c -= 1
a -= 1
n -= 1
cnt += 1
while True:
if c<2 or a<1:
break
c -= 2
a -= 1
cnt += 1
while True:
if c<3:
break
c -= 3
cnt += 1
print(cnt)
``` | instruction | 0 | 57,086 | 17 | 114,172 |
Yes | output | 1 | 57,086 | 17 | 114,173 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
def solve(c, a, n):
x = min(c, a, n)
c -= x
a -= x
y = min(c // 2, a)
c -= y * 2
a -= y
z = c // 3
return x + y + z
q = int(input())
for _ in range(q):
c, a, n = map(int, input().split())
print(solve(c, a, n))
``` | instruction | 0 | 57,087 | 17 | 114,174 |
Yes | output | 1 | 57,087 | 17 | 114,175 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
for i in range(int(input())):
res = 0
c,a,n = list(map(int,input().split()))
res = min(n,a,c)
c -= res
a -= res
res += min(c//2,a)
c -= res*2
if c >=3:
res += c//3
print(res)
``` | instruction | 0 | 57,088 | 17 | 114,176 |
No | output | 1 | 57,088 | 17 | 114,177 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0281
"""
import sys
from sys import stdin
input = stdin.readline
def solve(c, a, n):
CCA, CCC, CAN = 0, 0, 0
CAN = min(c, a, n) # CAN??????????????°
if a > 0 and c > 0:
CCA = min(a - CAN, c - CAN) # CCA??????????????°
if c > 0:
CCC = (c - CAN - (CCA * 2)) // 3 # CCC??????????????°
return CAN + CCA + CCC
def main(args):
Q = int(input())
for _ in range(Q):
c, a, n = map(int, input().split())
ans = solve(c, a, n)
print(ans)
if __name__ == '__main__':
main(sys.argv[1:])
``` | instruction | 0 | 57,089 | 17 | 114,178 |
No | output | 1 | 57,089 | 17 | 114,179 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
for i in range(int(input())):
res = 0
c,a,n = list(map(int,input().split()))
res = min(n,a,c)
c -= res
a -= res
if c >= 2 and a >= 1:
cca += min(c//2,a)
c -= cca*2
if c >=3:
res += c//3
print(res)
``` | instruction | 0 | 57,090 | 17 | 114,180 |
No | output | 1 | 57,090 | 17 | 114,181 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At Akabe High School, which is a programmer training school, the roles of competition programmers in team battles are divided into the following three types.
C: | Coder | I am familiar with the language and code.
--- | --- | ---
A: | Algorithm | I am good at logical thinking and think about algorithms.
N: | Navigator | Good at reading comprehension, analyze and debug problems.
At this high school, a team of three people is formed in one of the following formations.
CCA: | Well-balanced and stable
--- | ---
CCC: | Fast-paced type with high risk but expected speed
CAN: | Careful solving of problems accurately
As a coach of the Competitive Programming Department, you take care every year to combine these members and form as many teams as possible. Therefore, create a program that outputs the maximum number of teams that can be created when the number of coders, the number of algorithms, and the number of navigators are given as inputs.
input
The input consists of one dataset. Input data is given in the following format.
Q
c1 a1 n1
c2 a2 n2
::
cQ aQ nQ
Q (0 ≤ Q ≤ 100) on the first line is the number of years for which you want to find the number of teams. The number of people by role in each year is given to the following Q line. Each row is given the number of coders ci (0 ≤ ci ≤ 1000), the number of algorithms ai (0 ≤ ai ≤ 1000), and the number of navigators ni (0 ≤ ni ≤ 1000).
output
Output the maximum number of teams that can be created on one line for each year.
Example
Input
4
3 0 0
1 1 1
9 4 1
0 1 2
Output
1
1
4
0
Submitted Solution:
```
for i in range(int(input())):
res = 0
c,a,n = list(map(int,input().split()))
res = min(n,a,c)
c -= res
a -= res
if c >= 2 and a >= 1:
res += min(c//2,a)
c -= res*2
if c >=3:
res += c//3
print(res)
``` | instruction | 0 | 57,091 | 17 | 114,182 |
No | output | 1 | 57,091 | 17 | 114,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,396 | 17 | 114,792 |
Tags: brute force
Correct Solution:
```
n= int(input())
allTeams = []
for i in range(n):
team = [int(s) for s in input().split()]
allTeams.append(team)
count = 0
for i in range(n):
for j in range(n):
if allTeams[i][0] == allTeams[j][1]:
count += 1
print(count)
``` | output | 1 | 57,396 | 17 | 114,793 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,397 | 17 | 114,794 |
Tags: brute force
Correct Solution:
```
n = int(input())
homes = []
guests = []
for t in range(n):
s = input().split(' ')
homes.append(s[0])
guests.append(s[1])
sum = 0
for i in homes:
if i in guests:
sum += guests.count(i)
print(sum)
``` | output | 1 | 57,397 | 17 | 114,795 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,398 | 17 | 114,796 |
Tags: brute force
Correct Solution:
```
n=int(input())
l=[]
c=0
for i in range(n):
s=str(input()).split()
l.append([int(s[0]), int(s[1])])
s=[]
for i in range(n):
for j in range(n):
if (i!=j) & (l[i][0]==l[j][1]):
c+=1
print(c)
``` | output | 1 | 57,398 | 17 | 114,797 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,399 | 17 | 114,798 |
Tags: brute force
Correct Solution:
```
'''
INPUT SHORTCUTS
N, K = map(int,input().split())
N ,A,B = map(int,input().split())
string = str(input())
arr = list(map(int,input().split()))
N = int(input())
'''
def main():
N = int(input())
home = []
guest = []
for _ in range(N):
h,g = map(int,input().split())
home.append(h)
guest.append(g)
cnt =0
for i in range(len(home)):
for j in range(len(guest)):
if home[i]==guest[j]:
cnt+=1
print(cnt)
main()
``` | output | 1 | 57,399 | 17 | 114,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,400 | 17 | 114,800 |
Tags: brute force
Correct Solution:
```
n = int(input())
a = []
b = []
for z in range(n):
num1, num2 = map(int, input().split())
a.append(num1)
b.append(num2)
count = 0
for i in range(len(a)):
for j in range(len(b)):
if a[i] == b[j]:
count += 1
print(count)
``` | output | 1 | 57,400 | 17 | 114,801 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,401 | 17 | 114,802 |
Tags: brute force
Correct Solution:
```
import sys
n = int(input())
a = [0 for x in range(n)]
b = a[::]
for i in range(n):
a[i], b[i] = map(int, input().split())
print(sum((1 for x in a for y in b if x == y)))
``` | output | 1 | 57,401 | 17 | 114,803 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,402 | 17 | 114,804 |
Tags: brute force
Correct Solution:
```
x = int(input())
y = []
for i in range(x):
cv = list(map(int, input().split()))
y.append(cv)
ans = 0
for i in range(x):
for j in range(x):
if y[i][0]==y[j][1]:
ans+=1
else:
continue
print (ans)
``` | output | 1 | 57,402 | 17 | 114,805 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | instruction | 0 | 57,403 | 17 | 114,806 |
Tags: brute force
Correct Solution:
```
n=int(input())
b=[]
for x in range(n):
b+=list(map(int,input().split()))
c=[]
d=[]
i=0
while i<n*2:
c.append(b[i])
i+=2
i=1
while i<n*2:
d.append(b[i])
i+=2
count=0
for x in c:
for y in d:
if x==y:
count+=1
print(count)
``` | output | 1 | 57,403 | 17 | 114,807 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are n teams taking part in the national championship. The championship consists of n·(n - 1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input
The first line contains an integer n (2 ≤ n ≤ 30). Each of the following n lines contains a pair of distinct space-separated integers hi, ai (1 ≤ hi, ai ≤ 100) — the colors of the i-th team's home and guest uniforms, respectively.
Output
In a single line print the number of games where the host team is going to play in the guest uniform.
Examples
Input
3
1 2
2 4
3 4
Output
1
Input
4
100 42
42 100
5 42
100 5
Output
5
Input
2
1 2
1 2
Output
0
Note
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first).
Submitted Solution:
```
n=int(input())
l=[]
for i in range(n):
a,b=map(int,input().split())
l.append([a,b])
c=0
for i in range(n):
for j in range(n):
if i!=j:
if l[i][0]==l[j][1]:
c+=1
print(c)
``` | instruction | 0 | 57,404 | 17 | 114,808 |
Yes | output | 1 | 57,404 | 17 | 114,809 |
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