message stringlengths 2 67k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 463 109k | cluster float64 19 19 | __index_level_0__ int64 926 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
from collections import deque
numLines = input()
bumperString = deque(input().strip())
numSolutions = 0
numPossibleSolutions = 0
lastBumper = '<'
foundBlackHole = False
while len(bumperString) > 0:
bumper = bumperString.popleft()
if bumper == '<':
if lastBumper == '<':
if foundBlackHole is False:
numSolutions += 1
elif lastBumper == '>':
numPossibleSolutions = 0
foundBlackHole = True
lastBumper = '<'
elif bumper == '>':
if lastBumper == '<':
numPossibleSolutions = 0 + numSolutions + 1
elif lastBumper == '>':
numPossibleSolutions += 1
lastBumper = '>'
if numPossibleSolutions > 0:
print(numPossibleSolutions)
else:
print(numSolutions)
``` | instruction | 0 | 92,245 | 19 | 184,490 |
Yes | output | 1 | 92,245 | 19 | 184,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
a=input()
bumpers = input()
counter = 0
for i in range(len(bumpers)):
if bumpers[i]=='<':
counter+=1
else:
break
for i in range(1,len(bumpers)+1):
if bumpers[-i]=='>':
counter+=1
else:
break
print(counter)
``` | instruction | 0 | 92,246 | 19 | 184,492 |
Yes | output | 1 | 92,246 | 19 | 184,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
n = int(input())
k = n
s = input()
i = 0
j = n - 1
while s[i] != ">" and i < n:
i+=1
n-= 1
while s[j] != "<" and j > -1:
j-=1
n-=1
print(k - n)
``` | instruction | 0 | 92,247 | 19 | 184,494 |
No | output | 1 | 92,247 | 19 | 184,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
k=input()
s=input()
print(abs(s.count('<')-s.count('>')))
#this is the solution of this problem
``` | instruction | 0 | 92,248 | 19 | 184,496 |
No | output | 1 | 92,248 | 19 | 184,497 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
n = int(input())
a = list(input())
b = []
for i in range(0,n):
if a[i] == '<':
if i == 0:
b.append(1)
else:
b.append(b[i-1])
else:
try:
x = b[i]
except:
if i == n-1:
b.append(0)
else:
if '<' not in b[i+1:]:
break
else:
ind = b[i+1:].index('<')
for j in range(ind):
b.append(0)
print(sum(b))
``` | instruction | 0 | 92,249 | 19 | 184,498 |
No | output | 1 | 92,249 | 19 | 184,499 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In a new version of the famous Pinball game, one of the most important parts of the game field is a sequence of n bumpers. The bumpers are numbered with integers from 1 to n from left to right. There are two types of bumpers. They are denoted by the characters '<' and '>'. When the ball hits the bumper at position i it goes one position to the right (to the position i + 1) if the type of this bumper is '>', or one position to the left (to i - 1) if the type of the bumper at position i is '<'. If there is no such position, in other words if i - 1 < 1 or i + 1 > n, the ball falls from the game field.
Depending on the ball's starting position, the ball may eventually fall from the game field or it may stay there forever. You are given a string representing the bumpers' types. Calculate the number of positions such that the ball will eventually fall from the game field if it starts at that position.
Input
The first line of the input contains a single integer n (1 β€ n β€ 200 000) β the length of the sequence of bumpers. The second line contains the string, which consists of the characters '<' and '>'. The character at the i-th position of this string corresponds to the type of the i-th bumper.
Output
Print one integer β the number of positions in the sequence such that the ball will eventually fall from the game field if it starts at that position.
Examples
Input
4
<<><
Output
2
Input
5
>>>>>
Output
5
Input
4
>><<
Output
0
Note
In the first sample, the ball will fall from the field if starts at position 1 or position 2.
In the second sample, any starting position will result in the ball falling from the field.
Submitted Solution:
```
from sys import stdin
def solve(bumpers):
left = 0
right = 0
for bumper in bumpers:
if bumper == '<':
if right == 0:
left += 1
else:
right -= 1
else:
if left == 0:
right += 1
else:
left -= 1
return right + left
if __name__ == "__main__":
if True:
next(stdin)
print(str(solve(next(stdin).strip("\r\n"))))
else:
bumpers = [
"<<><",
">>>>>",
">><<"
]
for test_word in bumpers:
print(str(solve(test_word)))
``` | instruction | 0 | 92,250 | 19 | 184,500 |
No | output | 1 | 92,250 | 19 | 184,501 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,897 | 19 | 185,794 |
Tags: number theory
Correct Solution:
```
def flag(x):
# First x in the below expression
# is for the case when x is 0
return (x and (not(x & (x - 1))) )
#print(pow(2,22))
import math
def big(n):
z=int(math.sqrt(n))
for i in range(2,z+1):
if n%i==0:
return n//i
return 1
def solve(n):
if flag(n):
return n+(n-1)
else:
ans=0
while(n%2==0):
ans+=n
n=n//2
ans+=n
#print(n)
while(n!=1):
#print(big(n))
z=big(n)
n=z
#print(z)
ans+=z
return ans
n=int(input())
print(solve(n))
``` | output | 1 | 92,897 | 19 | 185,795 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,898 | 19 | 185,796 |
Tags: number theory
Correct Solution:
```
import sys,math,string,bisect
input=sys.stdin.readline
from collections import deque
L=lambda : list(map(int,input().split()))
Ls=lambda : list(input().split())
M=lambda : map(int,input().split())
I=lambda :int(input())
n=I()
c=n
while(n!=1):
p=2
k=n
while(p<n**0.5+1):
if(n%p==0):
c+=n//p
n=n//p
break
p+=1
if(n==k):
c+=1
n=1
print(c)
``` | output | 1 | 92,898 | 19 | 185,797 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,899 | 19 | 185,798 |
Tags: number theory
Correct Solution:
```
def prime(n):
if n == 2 or n == 3:
return True
elif n%2 == 0:
return False
else:
for i in range (3,int(n**0.5)+1,2):
if n%i == 0:
return False
return True
def factors(n):
l = []
for i in range (2,int(n**0.5)+1):
if n%i == 0:
l.append(i)
if i != n**0.5:
l.append(n//i)
return l
def solution(n):
if prime(n):
return n+1
else:
ans = n
l = factors(n)
x = min(l)
y = n//x
ans = ans + y
n = y
while not prime(n):
l = factors(n)
x = min(l)
y = n//x
ans = ans + y
n = y
ans = ans + 1
return ans
n = int(input())
print(solution(n))
``` | output | 1 | 92,899 | 19 | 185,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,900 | 19 | 185,800 |
Tags: number theory
Correct Solution:
```
n = int(input())
res = n
while n != 1:
i = 2
while i*i <= n:
if not(n%i):
break
i += 1
if i*i > n:
n = 1
else:
n //= i
res += n
print(res)
``` | output | 1 | 92,900 | 19 | 185,801 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,901 | 19 | 185,802 |
Tags: number theory
Correct Solution:
```
n = int(input())
i = 2
s = n
m = int(n ** 0.5)
while n > 1 and i <= m:
if n % i:
i += 1
else:
n //= i
s += n
print(s + (n > 1))
``` | output | 1 | 92,901 | 19 | 185,803 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,902 | 19 | 185,804 |
Tags: number theory
Correct Solution:
```
from collections import Counter
def factors(n):
if n == 1:
return [1]
i = 2
factors = []
while i * i <= n:
if n % i == 0:
while n % i == 0:
factors.append(i)
n //= i
i += 1
if n != 1:
factors.append(n)
return factors
def main():
n = int(input())
res = n
for e in factors(n):
n //= e
res += n
print(res)
if __name__ == '__main__':
main()
``` | output | 1 | 92,902 | 19 | 185,805 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,903 | 19 | 185,806 |
Tags: number theory
Correct Solution:
```
n = int(input())
result = n
while n != 1:
a = 2
while a * a <= n:
if n % a == 0:
break
a += 1
if a * a > n:
n = 1
else:
n //= a
result += n
print(result)
``` | output | 1 | 92,903 | 19 | 185,807 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result. | instruction | 0 | 92,904 | 19 | 185,808 |
Tags: number theory
Correct Solution:
```
n=int(input())
k=2
ans=n
while k*k<=n:
while n%k==0:
n//=k
ans+=n
if k==2:
k=3
else:
k+=2
if n>1:
ans+=1
print(ans)
``` | output | 1 | 92,904 | 19 | 185,809 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
def main():
n = int(input())
sum_points = n
from math import floor, sqrt
while n > 1:
try:
max_divisor = floor(sqrt(n)) + 1
divisor = next(i for i in range(2, max_divisor) if n % i == 0)
while n % divisor == 0:
n //= divisor
sum_points += n
except StopIteration:
n = 1
sum_points += n
print(sum_points)
if __name__ == '__main__':
main()
``` | instruction | 0 | 92,905 | 19 | 185,810 |
Yes | output | 1 | 92,905 | 19 | 185,811 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
n=int(input())
d=2
r=1
while d*d<=n:
while n%d<1:r+=n;n//=d
d+=1
if n>1:r+=n
print(r)
``` | instruction | 0 | 92,906 | 19 | 185,812 |
Yes | output | 1 | 92,906 | 19 | 185,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
def primeFact(n):
ans = []
i = 3
num = n
while n % 2 == 0:
ans.append(2)
n = n/2
num = n
while i * i < num+1:
while n % i == 0:
ans.append(i)
n = n / i
i += 2
if n > 1:
ans.append(int(n))
return ans
n = int(input())
facts = primeFact(n)
ans = n
for i in facts:
n = n // i
ans += n
if len(facts) == 1:
print(ans)
else:
print(ans)
``` | instruction | 0 | 92,907 | 19 | 185,814 |
Yes | output | 1 | 92,907 | 19 | 185,815 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
__author__ = 'Esfandiar'
import sys
input = sys.stdin.readline
n = int(input())
res = n
while n:
f=1
for i in range(2,int(n**.5)+1):
if n % i == 0:
res+= n // i
n//=i
f=0
break
if f:res+=1;break
print(res)
``` | instruction | 0 | 92,908 | 19 | 185,816 |
Yes | output | 1 | 92,908 | 19 | 185,817 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
import math
primes=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,
61,67,71,73,79,83,89,97,101,103,107,109,113,127,
131,137,139,149,151,157,163,167,173,179,181,191,
193,197,199,211,223,227,229,233,239,241,251,257,
263,269,271,277,281,293, 307, 311, 313, 317, 331, 337, 347, 349,
353,359 ,367,373,379,383,389,397,401,409,419, 421, 431 ,433 ,439 ,443 ,449 ,457 ,461 ,463
,467 ,479 ,487 ,491 ,499 ,503 ,509 ,521 ,523 ,541
,547 ,557 ,563 ,569 ,571 ,577 ,587 ,593 ,599 ,601
,607 ,613 ,617 ,619 ,631 ,641 ,643 ,647 ,653 ,659
,661 ,673 ,677 ,683 ,691 ,701 ,709 ,719 ,727 ,733
,739 ,743 ,751 ,757 ,761 ,769 ,773 ,787 ,797 ,809
,811 ,821 ,823 ,827 ,829 ,839 ,853 ,857 ,859 ,863
,877 ,881 ,883 ,887 ,907 ,911 ,919 ,929 ,937 ,941
,947 ,953 ,967 ,971 ,977 ,983 ,991 ,997 ,1009 ,1013
,1019 ,1021 ,1031 ,1033 ,1039 ,1049 ,1051 ,1061 ,1063, 1069
,1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151
,1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217,31607]
n=int(input())
tot=n
for i in range(len(primes)):
while n%primes[i]==0:
tot+=n//primes[i]
n=n//primes[i]
if n==1:
print(tot)
else:
print(tot+1)
``` | instruction | 0 | 92,909 | 19 | 185,818 |
No | output | 1 | 92,909 | 19 | 185,819 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
number = int(input())
def rectangularGame(currentNum):
if currentNum == 1:
return 1
else:
numSqrt = int(currentNum**0.5)
div = 1
for i in range(1,numSqrt+1):
if currentNum%i == 0:
div = i
if div == 1:
return currentNum + 1
else:
return currentNum + rectangularGame(int(currentNum/div))
print(rectangularGame(number))
``` | instruction | 0 | 92,910 | 19 | 185,820 |
No | output | 1 | 92,910 | 19 | 185,821 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
a = int(input())
c = a
while a > 1:
v = 0
for i in range(2, int(a ** 0.5) + 1):
if a % i == 0:
a //= i
c += a
v = 1
if not v:
c += 1
break
print(c)
``` | instruction | 0 | 92,911 | 19 | 185,822 |
No | output | 1 | 92,911 | 19 | 185,823 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has n pebbles. He arranges them in a equal rows, each row has b pebbles (a > 1). Note that the Beaver must use all the pebbles he has, i. e. n = aΒ·b.
<image> 10 pebbles are arranged in two rows, each row has 5 pebbles
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, b pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of a and b) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers c1, ..., ck, where:
* c1 = n
* ci + 1 is the number of pebbles that the Beaver ends up with after the i-th move, that is, the number of pebbles in a row after some arrangement of ci pebbles (1 β€ i < k). Note that ci > ci + 1.
* ck = 1
The result of the game is the sum of numbers ci. You are given n. Find the maximum possible result of the game.
Input
The single line of the input contains a single integer n β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
* 2 β€ n β€ 50
The input limitations for getting 100 points are:
* 2 β€ n β€ 109
Output
Print a single number β the maximum possible result of the game.
Examples
Input
10
Output
16
Input
8
Output
15
Note
Consider the first example (c1 = 10). The possible options for the game development are:
* Arrange the pebbles in 10 rows, one pebble per row. Then c2 = 1, and the game ends after the first move with the result of 11.
* Arrange the pebbles in 5 rows, two pebbles per row. Then c2 = 2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. c3 = 1, and the game ends with the result of 13.
* Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to c2 = 5, c3 = 1, and the game ends with the result of 16 β the maximum possible result.
Submitted Solution:
```
from sys import stdin
from math import sqrt
input = stdin.readline
n = int(input())
ans = n; s = int(sqrt(n))
fact = []
for i in range(1,s+1):
if n%i == 0:
fact.append(i)
fact.append(n//i)
fact.sort()
if fact[-1] == fact[-2]:
fact.pop()
# print(*fact)
for i in range(len(fact)-1):
if fact[i+1]%fact[i] == 0:
ans += fact[i]
print(ans)
``` | instruction | 0 | 92,912 | 19 | 185,824 |
No | output | 1 | 92,912 | 19 | 185,825 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,423 | 19 | 186,846 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0221
"""
import sys
from sys import stdin
from collections import deque
input = stdin.readline
def fb_gen(count=1):
while True:
if count % 15 == 0:
ans = 'FizzBuzz'
elif count % 5 == 0:
ans = 'Buzz'
elif count % 3 == 0:
ans = 'Fizz'
else:
ans = str(count)
yield ans
count += 1
def main(args):
while True:
m, n = map(int, input().split())
if m == 0 and n == 0:
break
players = deque(range(1, m+1))
fb = fb_gen()
for _ in range(n):
p = input().strip()
if p != fb.__next__():
if len(players) > 1:
players.popleft()
else:
players.rotate(-1)
result = list(players)
result.sort()
print(*result)
if __name__ == '__main__':
main(sys.argv[1:])
``` | output | 1 | 93,423 | 19 | 186,847 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,424 | 19 | 186,848 |
"Correct Solution:
```
while True:
m, n = map(int, input().split())
if m == 0:
break
plst = [i for i in range(1, m + 1)]
length = m
ind = 0
for i in range(1, n + 1):
s = input()
if length == 1:
continue
if i % 15 == 0:
if s != "FizzBuzz":
plst.pop(ind)
length -= 1
ind %= length
else:
ind += 1
ind %= length
elif i % 5 == 0:
if s != "Buzz":
plst.pop(ind)
length -= 1
ind %= length
else:
ind += 1
ind %= length
elif i % 3 == 0:
if s != "Fizz":
plst.pop(ind)
length -= 1
ind %= length
else:
ind += 1
ind %= length
else:
if s != str(i):
plst.pop(ind)
length -= 1
ind %= length
else:
ind += 1
ind %= length
print(*plst)
``` | output | 1 | 93,424 | 19 | 186,849 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,425 | 19 | 186,850 |
"Correct Solution:
```
def fizz_buzz():
c = 1
while True:
res = ''
if c % 3 == 0:
res = res + 'Fizz'
if c % 5 == 0:
res = res + 'Buzz'
if res == '':
yield str(c)
else:
yield res
c += 1
while True:
m,n = map(int,input().split())
if m == 0: break
player = list(range(m))
p = 0
fb = fizz_buzz()
for i in range(n):
inp = input()
if len(player) > 1:
if inp != next(fb):
del player[p]
p = p % len(player)
else:
p = (p+1) % len(player)
result = str(player[0]+1)
if len(player) > 1:
for pi in player[1:]:
result += ' ' + str(pi+1)
print(result)
``` | output | 1 | 93,425 | 19 | 186,851 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,426 | 19 | 186,852 |
"Correct Solution:
```
def solve():
from itertools import cycle
from sys import stdin
f_i = stdin
m_i = map(lambda x: x.rstrip(), f_i)
while True:
m, n = map(int, next(m_i).split())
if m == 0:
break
player = list(range(1, m + 1))
ans = ('FizzBuzz' if i % 15 == 0 else 'Fizz' if i % 3 == 0 else
'Buzz' if i % 5 == 0 else str(i) for i in range(1, n + 1))
while len(player) > 1:
for p, a in zip(cycle(player), ans):
n -= 1
if next(m_i) != a:
break
else:
break
idx = player.index(p)
player = player[idx+1:] + player[:idx]
while n:
next(m_i)
n -= 1
player.sort()
print(*player)
solve()
``` | output | 1 | 93,426 | 19 | 186,853 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,427 | 19 | 186,854 |
"Correct Solution:
```
while(True):
m,n = map(int,input().split())
if not m: break
a = [True]*m
j = -1
for i in range(1,n+1):
if sum(a) < 2: input(); continue
j = (j+1+((a+a)[j+1:]).index(True))%m
s = input()
if not i%15:
if s == "FizzBuzz": continue
else: a[j] = False; continue
if not i%5:
if s == "Buzz": continue
else: a[j] = False; continue
if not i%3:
if s == "Fizz": continue
else: a[j] = False; continue
if s != str(i): a[j] = False;continue
print(" ".join(str(e+1) for e in range(m) if a[e]))
``` | output | 1 | 93,427 | 19 | 186,855 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,428 | 19 | 186,856 |
"Correct Solution:
```
while(True):
m,n = map(int,input().split())
if not m: break
a = list(range(1,m+1))
b = [input() for _ in range(n)]
t = [str(i+1) for i in range(n)]
t[2::3] = ["Fizz"]*len(t[2::3])
t[4::5] = ["Buzz"]*len(t[4::5])
t[14::15] = ["FizzBuzz"]*len(t[14::15])
i=0
for j in range(n):
if len(a) <2: break
if b[j] != t[j]: del a[i]; i = 0 if i >= len(a) else i; continue
i += 1
i = i%len(a)
print(" ".join(str(e) for e in a))
``` | output | 1 | 93,428 | 19 | 186,857 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,429 | 19 | 186,858 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0221
"""
import sys
from sys import stdin
from collections import deque
input = stdin.readline
def fb_gen(count=1):
while True:
if count % 15 == 0:
ans = 'FizzBuzz'
elif count % 5 == 0:
ans = 'Buzz'
elif count % 3 == 0:
ans = 'Fizz'
else:
ans = str(count)
yield ans
count += 1
def main(args):
while True:
m, n = map(int, input().split())
if m == 0 and n == 0:
break
players = deque(range(1, m+1))
fb = fb_gen()
ok_count = 0
for _ in range(n):
p = input().strip()
if p != fb.__next__():
if len(players) > 1:
players.rotate(ok_count)
players.popleft()
ok_count = 0
else:
ok_count -= 1
result = list(players)
result.sort()
print(*result)
if __name__ == '__main__':
main(sys.argv[1:])
``` | output | 1 | 93,429 | 19 | 186,859 |
Provide a correct Python 3 solution for this coding contest problem.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1 | instruction | 0 | 93,430 | 19 | 186,860 |
"Correct Solution:
```
while 1:
m,n=map(int,input().split())
if m==0:break
a,i,c=list(range(1,m+1)),0,0
while i<n:
i+=1
b,f=input(),0
if m<2:continue
if i%15==0:
if b!='FizzBuzz':
del a[c]
f=1
elif i%5==0:
if b!='Buzz':
del a[c]
f=1
elif i%3==0:
if b!='Fizz':
del a[c]
f=1
elif b!=str(i):
del a[c]
f=1
if f:m-=1
else:c+=1
c%=m
print(*a)
``` | output | 1 | 93,430 | 19 | 186,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
while(True):
m,n = map(int,input().split())
if not m: break
a = list(range(1,m+1))
b = [input() for _ in range(n)]
t = [str(i+1) for i in range(n)]
t[2::3] = ["Fizz"]*len(t[2::3])
t[4::5] = ["Buzz"]*len(t[4::5])
t[14::15] = ["FizzBuzz"]*len(t[14::15])
i=0
for j in range(n):
if len(a) <2: break
if b[j] != t[j]: del a[i]; i = i%len(a); continue
i += 1
i = i%len(a)
print(" ".join(str(e) for e in a))
``` | instruction | 0 | 93,431 | 19 | 186,862 |
Yes | output | 1 | 93,431 | 19 | 186,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
hoge = ["FizzBuzz" if i % 15 == 0 else("Fizz" if i % 3 == 0 else("Buzz" if i % 5 == 0 else str(i))) for i in range(10001)]
while True:
m, n = map(int, input().split())
if m == 0:
break
man = list(range(1, m+1))
game = [input() for _ in range(n)]
idx = 0
for i in range(n):
if game[i] != hoge[i+1]:
del man[idx]
if len(man) == 1:
break
else:
idx += 1
idx %= len(man)
print(*man)
``` | instruction | 0 | 93,432 | 19 | 186,864 |
Yes | output | 1 | 93,432 | 19 | 186,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
def fizzbuzz(i):
if i % 15 == 0:
return 'FizzBuzz'
elif i % 5 == 0:
return 'Buzz'
elif i % 3 == 0:
return 'Fizz'
else:
return str(i)
import sys
f = sys.stdin
while True:
m, n = map(int, f.readline().split())
if m == n == 0:
break
member = list(range(1, m + 1))
s = [f.readline().strip() for _ in range(n)]
pos = 0
for i in range(n):
if s[i] != fizzbuzz(i + 1):
del member[pos]
m = len(member)
if m == 1:
break
else:
pos += 1
pos %= m
print(*member)
``` | instruction | 0 | 93,433 | 19 | 186,866 |
Yes | output | 1 | 93,433 | 19 | 186,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
def FB(n):
if n%3==0 and n%5==0: return 'FizzBuzz'
if n%3==0: return 'Fizz'
if n%5==0: return 'Buzz'
return str(n)
while True:
M,N=map(int,input().split())
if M==0 and N==0: break
TF=[1]*M
S=[input() for _ in range(N)]
k=0
for i,s in enumerate(S):
if sum(TF)==1: break
while True:
if not TF[k]:
k=(k+1)%M
else:
if FB(i+1)==s:
k=(k+1)%M
break
else:
TF[k]=0
k=(k+1)%M
break
ans=[]
for j,p in enumerate(TF):
if p:
ans.append(str(j+1))
print(' '.join(ans))
``` | instruction | 0 | 93,434 | 19 | 186,868 |
Yes | output | 1 | 93,434 | 19 | 186,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
# Aizu Problem 0221: Fizz Buzz
import sys, math, os, struct
# read input:
PYDEV = os.environ.get('PYDEV')
if PYDEV=="True":
sys.stdin = open("sample-input.txt", "rt")
def valid(k, a):
if k % 3 == 0 and k % 5 == 0:
return a == "FizzBuzz"
elif k % 3 == 0:
return a == "Fizz"
elif k % 5 == 0:
return a == "Buzz"
else:
return int(a) == k
def fizz_buzz(m, n, A):
players = list(range(1, m + 1))
p = 0
k = 0
while len(A) > 0:
k += 1
a = A.pop(0)
if valid(k, a):
p = (p + 1) % m
else:
if len(players) == 0:
print()
return
players.pop(p)
if len(players) == 1:
break
m -= 1
if p == m:
p = 0
print(' '.join([str(p) for p in players]))
while True:
m, n = [int(_) for _ in input().split()]
if m == 0:
break
A = [input().strip() for _ in range(n)]
fizz_buzz(m, n, A)
``` | instruction | 0 | 93,435 | 19 | 186,870 |
No | output | 1 | 93,435 | 19 | 186,871 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
while(True):
m,n = map(int,input().split())
if not m: break
a = [True]*m
j = -1
for i in range(1,n+1):
if not sum(a): input(); continue
j = (j+1+((a+a)[j+1:]).index(True))%m
s = input()
if not i%15:
if s == "FizzBuzz": continue
else: a[j] = False; continue
if not i%5:
if s == "Buzz": continue
else: a[j] = False; continue
if not i%3:
if s == "Fizz": continue
else: a[j] = False; continue
if s != str(i): a[j] = False;continue
print(" ".join(str(e+1) for e in range(m) if a[e]))
``` | instruction | 0 | 93,436 | 19 | 186,872 |
No | output | 1 | 93,436 | 19 | 186,873 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0221
"""
import sys
from sys import stdin
from collections import deque
input = stdin.readline
def FizzBuzz(count=1):
while True:
if count % 15 == 0:
ans = 'FizzBuzz'
elif count % 5 == 0:
ans = 'Buzz'
elif count % 3 == 0:
ans = 'Fizz'
else:
ans = str(count)
yield ans
count += 1
def main(args):
while True:
m, n = map(int, input().split())
if m == 0 and n == 0:
break
players = deque(range(1, m+1))
fb = FizzBuzz()
for i in range(1, n+1):
p = input().strip('\n')
if p != fb.__next__():
players.popleft()
else:
players.rotate(-1)
if len(players) == 1:
break
result = list(players)
result.sort()
print(*result)
if __name__ == '__main__':
main(sys.argv[1:])
``` | instruction | 0 | 93,437 | 19 | 186,874 |
No | output | 1 | 93,437 | 19 | 186,875 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a game that uses numbers called "Fizz Buzz". In this game, multiple players count the numbers one by one, starting with 1, and each player says only one number after the previous player. At that time, you must say "Fizz" if it is divisible by 3, "Buzz" if it is divisible by 5, and "FizzBuzz" if it is divisible by both. For example, the first 16 statements are as follows:
1, 2, Fizz, 4, Buzz, Fizz, 7, 8, Fizz, Buzz, 11, Fizz, 13, 14, FizzBuzz, 16, γ» γ» γ»
Taro decided to play "Fizz Buzz" with his friends. Taro and his colleagues decided the rules as follows.
"The wrong person will drop out. The next person will start with the next number after the wrong number. That is, if you say 1, 2, 3, you made a mistake with 3, so you will start with 4."
I play the game according to this rule, but because I am not used to the game, I sometimes do not notice that I made a mistake, and I cannot make a fair decision. So you decided to create a program that outputs the remaining people at the end of the set number of remarks so that Taro and his friends can enjoy this game.
Create a program that inputs the number of players, the number of times spoken during the game, and each statement, and outputs the number of the remaining players at the end of the input in ascending order. However, the players are numbered from 1, and the order of speaking is also from the first player, and when the speaking is completed, the first player will speak again. If the player in turn has already dropped out, the next player will speak. Also, the program must ignore subsequent statements when the player is alone.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format:
m n
s1
s2
::
sn
The first line gives the number of players m (2 β€ m β€ 1000) and the number of remarks n (1 β€ n β€ 10000).
The next n lines are given the i-th statement s1. si is an integer, Fizz, Buzz, or a string (up to 8 characters) that indicates FizzBuzz.
The number of datasets does not exceed 50.
Output
For each input dataset, the number of the player remaining when the specified number of remarks is input is output in ascending order.
Example
Input
5 7
1
2
Fizz
4
Buzz
6
7
3 5
1
2
3
4
5
0 0
Output
2 3 4 5
1
Submitted Solution:
```
while 1:
m,n=map(int,input().split())
if m==0:break
a,i,c=[i+1 for i in range(m)],0,0
while i<n:
i+=1
b,f=input(),0
if len(a)==1:continue
if i%15==0:
if b!='FizzBuzz':
del a[c]
f=1
elif i%5==0:
if b!='Buzz':
del a[c]
f=1
elif i%3==0:
if b!='Fizz':
del a[c]
f=1
else:
if b!=str(i):
del a[c]
f=1
if f:m-=1
else:c=(c+1)%m
print(*a)
``` | instruction | 0 | 93,438 | 19 | 186,876 |
No | output | 1 | 93,438 | 19 | 186,877 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,851 | 19 | 187,702 |
Tags: implementation
Correct Solution:
```
d1, a1 = map(int, input().split())
d2, a2 = map(int, input().split())
d3, a3 = map(int, input().split())
d4, a4 = map(int, input().split())
if ((d1>a3 and a2>d4) and (d1>a4 and a2>d3)) or (d2>a3 and a1>d4 and d2>a4 and a1>d3):
print("Team 1")
elif ((d1<a3 and a2<d4) or (d1<a4 and a2<d3)) and ((d2<a3 and a1<d4) or (d2<a4 and a1<d3)):
print("Team 2")
else:
print("Draw")
``` | output | 1 | 93,851 | 19 | 187,703 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,852 | 19 | 187,704 |
Tags: implementation
Correct Solution:
```
a,b=map(int,input().split())
c,d=map(int,input().split())
x,y=map(int,input().split())
z,w=map(int,input().split())
Team1=False
Team2=False
if(a>w and a>y and d>x and d>z):
Team1=True
if(c>w and c>y and b>x and b>z):
Team1=True
if(((x>b and w>c) or (z>b and y>c)) and ((x>d and w>a) or (z>d and y>a))):
Team2=True
if(Team1):
print("Team 1")
elif(Team2):
print("Team 2")
else:
print("Draw")
``` | output | 1 | 93,852 | 19 | 187,705 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,853 | 19 | 187,706 |
Tags: implementation
Correct Solution:
```
p1 = list(map(int, input().split()))
p2 = list(map(int, input().split()))
p3 = list(map(int, input().split()))
p4 = list(map(int, input().split()))
t1 = [(p1[0],p2[1]), (p2[0],p1[1])]
score = [0,0]
t2 = [(p3[0],p4[1]), (p4[0],p3[1])]
t11 = t1[0]
t12 = t1[1]
t21 = t2[0]
t22 = t2[1]
# if any team of t1 wins both game, then t1 wins
# if any both team loses to any of t2, t2 wins
if t11[0] > t21[1] and t11[0] > t22[1] and t11[1] > t21[0] and t11[1] >t22[0]:
print("Team 1")
elif t12[0] > t21[1] and t12[0] > t22[1] and t12[1] > t21[0] and t12[1] >t22[0]:
print("Team 1")
elif ((t11[0] < t21[1] and t11[1] < t21[0] ) or ( t11[0] < t22[1] and t11[1] < t22[0])) and ((t12[0] < t21[1] and t12[1] < t21[0] ) or ( t12[0] < t22[1] and t12[1] < t22[0])):
print("Team 2")
else:
print("Draw")
``` | output | 1 | 93,853 | 19 | 187,707 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,854 | 19 | 187,708 |
Tags: implementation
Correct Solution:
```
def f():
a, b = map(int, input().split())
A, B = map(int, input().split())
return ((a, B), (A, b))
def g(u, v): return u[0] > v[1] and u[1] > v[0]
x, y = f(), f()
if any(all(g(j, i) for i in y) for j in x): print('Team 1')
elif all(any(g(i, j) for i in y) for j in x): print('Team 2')
else: print('Draw')
``` | output | 1 | 93,854 | 19 | 187,709 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,855 | 19 | 187,710 |
Tags: implementation
Correct Solution:
```
def f():
a, b = map(int, input().split())
A, B = map(int, input().split())
return ((a, B), (A, b))
def g(u, v): return u[0] > v[1] and u[1] > v[0]
x, y = f(), f()
if any(all(g(j, i) for i in y) for j in x): print('Team 1')
elif all(any(g(i, j) for i in y) for j in x): print('Team 2')
else: print('Draw')
# Made By Mostafa_Khaled
``` | output | 1 | 93,855 | 19 | 187,711 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,856 | 19 | 187,712 |
Tags: implementation
Correct Solution:
```
team1, team2 = (lambda t : [[list(map(int, input().split())) for x in range(2)] for y in range(2)])('input')
if (lambda t1, t2 : any(all(t1[x][0] > t2[y][1] and t1[1 - x][1] > t2[1 - y][0] for y in range(2)) for x in range(2)))(team1, team2):
print('Team 1')
elif (lambda t1, t2 : all(any(t2[y][0] > t1[x][1] and t2[1 - y][1] > t1[1 - x][0] for y in range(2)) for x in range(2)))(team1, team2):
print('Team 2')
else:
print('Draw')
``` | output | 1 | 93,856 | 19 | 187,713 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,857 | 19 | 187,714 |
Tags: implementation
Correct Solution:
```
def check(a, b, c, d):
if a > d and b > c:
return 1
return 0
a = [0 for i in range(4)]
b = [0 for i in range(4)]
for i in range(4):
a[i], b[i] = map(int, input().split())
if check(a[0], b[1], a[2], b[3]) and check(a[0], b[1], a[3], b[2]):
print('Team 1')
elif check(a[1], b[0], a[2], b[3]) and check(a[1], b[0], a[3], b[2]):
print('Team 1')
elif (check(a[2], b[3], a[0], b[1]) or check(a[3], b[2], a[0], b[1])) and (check(a[3], b[2], a[1], b[0]) or check(a[2], b[3], a[1], b[0])):
print('Team 2')
else:
print('Draw')
``` | output | 1 | 93,857 | 19 | 187,715 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team). | instruction | 0 | 93,858 | 19 | 187,716 |
Tags: implementation
Correct Solution:
```
a = tuple(map(int, input().split()))
b = tuple(map(int, input().split()))
c = tuple(map(int, input().split()))
d = tuple(map(int, input().split()))
def check(el1, el2):
if el1[0][0] > el2[1][1] and el1[1][1] > el2[0][0]:
return 1
if el2[0][0] > el1[1][1] and el2[1][1] > el1[0][0]:
return 2
return 0
def check2(el):
ans = 5
cd = [(c, d), (d, c)]
for el2 in cd:
if check(el, el2) == 2:
return 2
ans = min(ans, check(el, el2))
return ans
def main():
ans = 5
aw = [(a, b), (b, a)]
for el in aw:
if check2(el) == 1:
return print('Team 1')
ans = min(ans, check2(el))
if ans == 0:
print("Draw")
else:
print("Team 2")
main()
``` | output | 1 | 93,858 | 19 | 187,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team).
Submitted Solution:
```
def get_tuple():
a, A = map(int, input().split())
b, B = map(int, input().split())
return (a,B), (b,A)
def larger(a1, a2):
return a1[0] > a2[1] and a1[1] > a2[0]
def smaller(a1, a2):
return a1[0] < a2[1] and a1[1] < a2[0]
t11, t12 = get_tuple()
t21, t22 = get_tuple()
if larger(t11,t21) and larger(t11, t22):
print("Team 1")
elif larger(t12, t21) and larger(t12, t22):
print("Team 1")
elif (smaller(t11,t21) or smaller(t11, t22)) and (smaller(t12, t21) or smaller(t12, t22)):
print("Team 2")
else:
print("Draw")
``` | instruction | 0 | 93,859 | 19 | 187,718 |
Yes | output | 1 | 93,859 | 19 | 187,719 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team).
Submitted Solution:
```
x = [tuple(int(i) for i in input().split()) for j in range(4)]
if x[0][0] + x[1][1] > x[0][1] + x[1][0]:
t1atk = x[1][1]
t1def = x[0][0]
else:
t1atk = x[0][1]
t1def = x[1][0]
def f():
if t1atk > t2def and t1def > t2atk:
return 0
elif t1atk < t2def and t1def < t2atk:
return 2
else:
return 1
t2def = x[2][0]
t2atk = x[3][1]
a = f()
t2def = x[3][0]
t2atk = x[2][1]
b = f()
if a > b:
t2def = x[2][0]
t2atk = x[3][1]
else:
t2def = x[3][0]
t2atk = x[2][1]
if t1atk > t2def and t1def > t2atk:
print("Team 1")
elif t1atk < t2def and t1def < t2atk:
print("Team 2")
else:
print("Draw")
``` | instruction | 0 | 93,860 | 19 | 187,720 |
Yes | output | 1 | 93,860 | 19 | 187,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team).
Submitted Solution:
```
def play(t1, t2):
r = 0
if t1[0] > t2[1] and t1[1] > t2[0]:
r = 1
elif t1[0] < t2[1] and t1[1] < t2[0]:
r = -1
else:
r = 0
#print("play:", t1, t2, r)
return r
p = []
m = []
res = []
for _ in range(4):
a, b = map(int, input().split(" "))
p.append((a, b))
m.append((p[0][0], p[1][1]))
m.append((p[1][0], p[0][1]))
m.append((p[2][0], p[3][1]))
m.append((p[3][0], p[2][1]))
res.append((play(m[0], m[2]), play(m[0], m[3])))
res.append((play(m[1], m[2]), play(m[1], m[3])))
#print(res)
mm = max([max(i) for i in res])
res = [i for i in res if max(i) == mm]
res = [min(i) for i in res]
#print(res)
#rr = min(res) + 1
if 1 in res:
rr = 2
else:
rr = max(res) + 1
ss = ["Team 2", "Draw", "Team 1"]
print(ss[rr])
``` | instruction | 0 | 93,861 | 19 | 187,722 |
Yes | output | 1 | 93,861 | 19 | 187,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the half-backs and forwards (plays attack).
Two teams of company Q decided to battle each other. Let's enumerate players from both teams by integers from 1 to 4. The first and second player play in the first team, the third and the fourth one play in the second team. For each of the four players we know their game skills in defence and attack. The defence skill of the i-th player is ai, the attack skill is bi.
Before the game, the teams determine how they will play. First the players of the first team decide who will play in the attack, and who will play in the defence. Then the second team players do the same, based on the choice of their opponents.
We will define a team's defence as the defence skill of player of the team who plays defence. Similarly, a team's attack is the attack skill of the player of the team who plays attack. We assume that one team is guaranteed to beat the other one, if its defence is strictly greater than the opponent's attack and its attack is strictly greater than the opponent's defence.
The teams of company Q know each other's strengths and therefore arrange their teams optimally. Identify the team that is guaranteed to win (if both teams act optimally) or tell that there is no such team.
Input
The input contain the players' description in four lines. The i-th line contains two space-separated integers ai and bi (1 β€ ai, bi β€ 100) β the defence and the attack skill of the i-th player, correspondingly.
Output
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
Examples
Input
1 100
100 1
99 99
99 99
Output
Team 1
Input
1 1
2 2
3 3
2 2
Output
Team 2
Input
3 3
2 2
1 1
2 2
Output
Draw
Note
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence.
Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose first, the members of the second team can beat them (because they know the exact defence value and attack value of the first team).
Submitted Solution:
```
A = [[int(j) for j in input().split() ] for i in range(4)]
check1 = A[0][0] > A[2][1] and A[1][1] > A[3][0] and A[0][0] > A[3][1] and A[1][1] > A[2][0]
check2 = A[1][0] > A[2][1] and A[0][1] > A[3][0] and A[1][0] > A[3][1] and A[0][1] > A[2][0]
check3 = (A[2][0] > A[0][1] and A[3][1] > A[1][0]) or (A[3][0] > A[0][1] and A[2][1] > A[1][0])
check4 = (A[2][0] > A[1][1] and A[3][1] > A[0][0]) or (A[3][0] > A[1][1] and A[2][1] > A[0][0])
if check1 or check2:
print("Team 1")
elif check3 and check4:
print("Team 2")
else:
print("Draw")
``` | instruction | 0 | 93,862 | 19 | 187,724 |
Yes | output | 1 | 93,862 | 19 | 187,725 |
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