message stringlengths 2 45.8k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 254 108k | cluster float64 3 3 | __index_level_0__ int64 508 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | instruction | 0 | 17,261 | 3 | 34,522 |
Tags: dp, greedy, implementation, math
Correct Solution:
```
first, second= map(int, input().split())
count = 0
while first>0 and second>1 or second>0 and first>1:
if first < second:
first+=1
second-=2
else:
first-=2
second+=1
count+=1
print(count)
``` | output | 1 | 17,261 | 3 | 34,523 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | instruction | 0 | 17,262 | 3 | 34,524 |
Tags: dp, greedy, implementation, math
Correct Solution:
```
a1,a2 = map(int,input().split())
k=0
while a1>0 and a2>0 and (a1>1 or a2>1):
if a1>a2:
a2+=1
a1-=2
else:
a1+=1
a2-=2
k+=1
print(k)
``` | output | 1 | 17,262 | 3 | 34,525 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | instruction | 0 | 17,263 | 3 | 34,526 |
Tags: dp, greedy, implementation, math
Correct Solution:
```
def fun(a, b):
if a <= 1 and b <= 1:
return 0
a, b = min(a, b), max(a, b)
cnt = 0
while abs(a - b) > 1:
a += 1
b -= 2
cnt += 1
return cnt + 2 * ((a + b - 1) // 2) - 1
a, b = map(int, input().split())
print(fun(a, b))
``` | output | 1 | 17,263 | 3 | 34,527 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | instruction | 0 | 17,264 | 3 | 34,528 |
Tags: dp, greedy, implementation, math
Correct Solution:
```
a1, a2 = [int(x) for x in input().split(' ')]
mins = 0
while a1 > 0 and a2 > 0:
if a1 == 1 and a2 == 1:
break
mins += 1
if a1 == min(a1,a2):
a1 += 1
a2 -= 2
else:
a2 += 1
a1 -= 2
print(mins)
``` | output | 1 | 17,264 | 3 | 34,529 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | instruction | 0 | 17,265 | 3 | 34,530 |
Tags: dp, greedy, implementation, math
Correct Solution:
```
def fun():
a, b = input().split()
a = int(a)
b = int(b)
t = 0
if(a==1 and b==1):
return 0
while (1):
if (a <= 0 or b <= 0):
return t
if (a < b):
a += 1
b -= 2
t += 1
else:
b += 1
a -= 2
t += 1
print(fun())
``` | output | 1 | 17,265 | 3 | 34,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
n=(list(map(int, input().split())))
a=n[0] ; b=n[1]
l=0
while a>0 or b>0:
if a<=0 or b<=0 or (a==1 and b==1):
break
l += 1
if a==1 or b==1:
if a==1:
a+=1
b-=2
else:
a-=2
b+=1
elif a>=b:
a-=2
b+=1
else:
b-=2
a+=1
print(l)
``` | instruction | 0 | 17,266 | 3 | 34,532 |
Yes | output | 1 | 17,266 | 3 | 34,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
a1, a2 = map(int, input().split())
i = 0
while a1 * a2 > 0 and a1 + a2 > 2:
if a1 > a2:
a1, a2 = a1 - 2, a2 + 1
else:
a1, a2 = a1 + 1, a2 - 2
i += 1
print(i)
``` | instruction | 0 | 17,267 | 3 | 34,534 |
Yes | output | 1 | 17,267 | 3 | 34,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
from sys import stdin
a,b=map(int,stdin.readline().split())
c=0
while (a>0 and b>0) and (a>1 or b>1):
c+=1
if a<=b:
a+=1
b-=2
else:
a-=2
b+=1
print(c)
``` | instruction | 0 | 17,268 | 3 | 34,536 |
Yes | output | 1 | 17,268 | 3 | 34,537 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
def solve(a,b, length, memo):
if memo[a][b] is not None:
return memo[a][b]
if a == 0 or b == 0:
memo[a][b] = length
return memo[a][b]
memo[a][b] = max(solve(a+1, max(b-2,0), length + 1, memo), solve(max(a-2,0), b+1, length +1, memo))
return memo[a][b]
a,b =map(int, input().split())
m=[[None]*200 for x in range(200)]
m[1][1] = 0
print(solve(a,b,0,m))
``` | instruction | 0 | 17,269 | 3 | 34,538 |
Yes | output | 1 | 17,269 | 3 | 34,539 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
x, y = map(int, input().split())
i = 0
while x > 0 and y > 0:
x, y = min(x, y) + 1, max(x, y) - 2
if not (x >= 0 and y >= 0):
break
i += 1
print(x, y)
print(i)
``` | instruction | 0 | 17,270 | 3 | 34,540 |
No | output | 1 | 17,270 | 3 | 34,541 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
a,b = [int(i) for i in input().split()]
x = min(a,b)
y = max(a,b)
time = 0
while x > 0 and y > 0:
if y > 2:
if y & 1:
a = y // 2
y = 1
else:
a = (y-2) // 2
y = 2
time += a
x += a
if x > 2:
if x & 1:
a = x // 2
x = 1
else:
a = (x-2) // 2
x = 2
y += a
time += a
if x <= 2 and y <= 2:
x=0
y=0
time += 1
print(time)
``` | instruction | 0 | 17,271 | 3 | 34,542 |
No | output | 1 | 17,271 | 3 | 34,543 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
a, b = [int(x) for x in input().split()]
count = 0
while a > 0 and b > 0:
if a == 1:
a += 1
b -= 2
elif b == 1:
b += 1
a -= 2
elif a % 2 == 0:
a += 1
b -= 2
else:
b += 1
a -= 2
count += 1
print(count)
``` | instruction | 0 | 17,272 | 3 | 34,544 |
No | output | 1 | 17,272 | 3 | 34,545 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input
The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.
Output
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Examples
Input
3 5
Output
6
Input
4 4
Output
5
Note
In the first sample game lasts for 6 minute by using the following algorithm:
* at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
* continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
* at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
* continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
* at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
* at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped.
Submitted Solution:
```
a,b=map(int,input().split())
t=0
while 1:
if a<=0 or b<=0:
break
elif a<=b:
a+=1
b-=2
t+=1
elif b<a:
b+=1
a-=2
t+=1
print(t)
``` | instruction | 0 | 17,273 | 3 | 34,546 |
No | output | 1 | 17,273 | 3 | 34,547 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,604 | 3 | 35,208 |
"Correct Solution:
```
X, Y = map(int, input().split())
while (X !=0 and Y != 0):
Slist = []
for i in range(X):
S = list(map(str, input()))
Slist.append(S)
store = [(0,0)]
x = 0
y = 0
while True:
if (Slist[x][y] == '>'):
y += 1
elif (Slist[x][y] == '<'):
y -= 1
elif (Slist[x][y] == 'v'):
x += 1
elif (Slist[x][y] == '^'):
x -= 1
if (Slist[x][y] == '.'):
loop = 0
break
if ((x,y) in store):
loop = 1
break
store.append((x,y))
if (loop == 1):
print('LOOP')
elif (loop == 0) :
print(y,x)
X, Y = map(int, input().split())
``` | output | 1 | 17,604 | 3 | 35,209 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,605 | 3 | 35,210 |
"Correct Solution:
```
STATE = {
"NOTHING": ".",
"LOOP": "E"
}
DIRECT = {
">": [0, 1],
"<": [0, -1],
"^": [-1, 0],
"v": [1, 0]
}
output = []
while True:
width, height = [int(item) for item in input().split(" ")]
if width == 0 and height == 0:
break
tiles = []
for lp in range(width):
splits = [item for item in input()]
tiles.append(splits)
row, col = 0, 0
while True:
if tiles[row][col] == STATE["NOTHING"]:
output.append(str(col) + " " + str(row))
break
elif tiles[row][col] == STATE["LOOP"]:
output.append("LOOP")
break
for key in DIRECT:
if tiles[row][col] == key:
tiles[row][col] = STATE["LOOP"]
row += DIRECT[key][0]
col += DIRECT[key][1]
break
print("\n".join(output))
``` | output | 1 | 17,605 | 3 | 35,211 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,606 | 3 | 35,212 |
"Correct Solution:
```
import heapq
from collections import deque
from enum import Enum
import sys
import math
from _heapq import heappush, heappop
import copy
BIG_NUM = 2000000000
HUGE_NUM = 99999999999999999
MOD = 1000000007
EPS = 0.000000001
sys.setrecursionlimit(100000)
North = 0
East = 1
South = 2
West = 3
DICT = {"^":North,">":East,"v":South,"<":West}
while True:
H,W = map(int,input().split())
if H == 0 and W == 0:
break
base_map = [input() for _ in range(H)]
check = [[False]*W for row in range(H)]
row = 0
col = 0
while True:
if base_map[row][col] == '.':
print("%d %d"%(col,row))
break
else:
if check[row][col] == True:
print("LOOP")
break
check[row][col] = True
tmp_dir = DICT[base_map[row][col]]
if tmp_dir == North:
row -= 1
elif tmp_dir == East:
col += 1
elif tmp_dir == South:
row += 1
else: #tmp_dir == West
col -= 1
``` | output | 1 | 17,606 | 3 | 35,213 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,607 | 3 | 35,214 |
"Correct Solution:
```
def search(table, visited, x, y):
if visited[x][y]:
print("LOOP")
return
visited[x][y] = True
if table[x][y] == ">":
search(table, visited, x, y+1)
elif table[x][y] == "v":
search(table, visited, x+1, y)
elif table[x][y] == "^":
search(table, visited, x-1, y)
elif table[x][y] == "<":
search(table, visited, x, y-1)
elif table[x][y] == ".":
print(y, x)
return
while True:
X, Y = [int(i) for i in input().split()]
if X == 0 and Y == 0:
break
table = [[0 for i in range(Y)] for j in range(X)]
visited = [[False for i in range(Y)] for j in range(X)]
for i in range(X):
L = input()
for j in range(Y):
table[i][j] = L[j]
search(table, visited, 0, 0)
``` | output | 1 | 17,607 | 3 | 35,215 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,608 | 3 | 35,216 |
"Correct Solution:
```
while True:
h, w = map(int, input().split())
if h == w == 0:
break
maze = [input() for i in range(h)]
now_x = now_y = 0
is_used = [[False for j in range(w)] for i in range(h)]
is_used[0][0] = True
while True:
now = maze[now_y][now_x]
if now == '>':
now_x += 1
elif now == '<':
now_x -= 1
elif now == 'v':
now_y += 1
elif now == '^':
now_y -= 1
else:
print(now_x, now_y)
break
if is_used[now_y][now_x]:
print("LOOP")
break
is_used[now_y][now_x] = True
``` | output | 1 | 17,608 | 3 | 35,217 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,609 | 3 | 35,218 |
"Correct Solution:
```
def run_magic_tiles(magic_tiles, past_matrix):
i, j = 0, 0
while True:
move = {
'^': (-1, 0),
'v': (1, 0),
'<': (0, -1),
'>': (0, 1),
'.': (-1, -1)
}.get(magic_tiles[i][j])
if move[0] == -1 and move[1] == -1:
return j, i
else:
i += move[0]
j += move[1]
if past_matrix[i][j]:
return 'LOOP'
past_matrix[i][j] = 1
def main():
while True:
c, r = map(int, input().split(' '))
if c == 0 and r == 0:
break
past_matrix = [[0 for _ in range(r)] for _ in range(c)]
tiles = []
for _ in range(c):
tiles.append(list(input()))
res = run_magic_tiles(tiles, past_matrix)
print('LOOP' if res == 'LOOP' else '%d %d' % (res[0], res[1]))
if __name__ == '__main__':
main()
``` | output | 1 | 17,609 | 3 | 35,219 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,610 | 3 | 35,220 |
"Correct Solution:
```
while 1:
H,W=map(int,input().split())
if H==0:break
m=[input()for _ in[0]*H]
y=x=0
for _ in range(H*W):
u,v=x,y
c=m[y][x]
if c=='>':x+=1;
if c=='v':y+=1;
if c=='<':x-=1;
if c=='^':y-=1;
if c=='.':print(x,y);break
else:print('LOOP')
``` | output | 1 | 17,610 | 3 | 35,221 |
Provide a correct Python 3 solution for this coding contest problem.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP | instruction | 0 | 17,611 | 3 | 35,222 |
"Correct Solution:
```
while 1:
h,w=map(int,input().split())
if w==0:break
a=[input() for _ in[0]*h]
b=[(0,0)];i=j=0
while a[i][j]!='.':
if a[i][j]=='>':j+=1
elif a[i][j]=='<':j-=1
elif a[i][j]=='v':i+=1
elif a[i][j]=='^':i-=1
if (i,j) in b:print('LOOP');break
b+=[(i,j)]
else:print(j,i)
``` | output | 1 | 17,611 | 3 | 35,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
while True:
h,w = [int(x) for x in input().split()]
if h == 0 and w ==0:
break
T = [ [0] * w for x in range(h) ]
M = []
for _ in range(h):
M.append(list(input()))
i=0
j=0
loop = 0
while True:
if T[i][j] > 0:
loop += 1
break
else:
T[i][j] += 1
if M[i][j] ==".":
break
elif M[i][j] == ">":
j += 1
elif M[i][j] == "<":
j -= 1
elif M[i][j] == "^":
i -= 1
else:
i += 1
if loop > 0:
print("LOOP")
else:
print(j,i)
``` | instruction | 0 | 17,612 | 3 | 35,224 |
Yes | output | 1 | 17,612 | 3 | 35,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
def ans(m):
h = 0
w = 0
pas = []
while True:
# print("h={0} v={1} mark={2}".format(h,w,m[h][w]))
if m[h][w] == '>':
w += 1
elif m[h][w] == '<':
w -= 1
elif m[h][w] == '^':
h -= 1
elif m[h][w] == 'v':
h += 1
elif m[h][w] == '.':
return "{0} {1}".format(w,h)
if (h,w) in pas:
return "LOOP"
else:
pas.append((h,w))
while True:
[h,w] = map(int,input().split())
if h == 0 and w == 0:
break
m = []
for _ in range(h):
m.append(input())
res = ans(m)
print(res)
``` | instruction | 0 | 17,613 | 3 | 35,226 |
Yes | output | 1 | 17,613 | 3 | 35,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
while True :
H, W = map(int, input().split())
if H == 0 and W == 0 :
break
roop = "OFF"
Tile = [list(input()) for j in range(H)]
cursol_H = 0
cursol_W = 0
roop = "OFF"
while True :
if Tile[cursol_H][cursol_W] == ">" :
Tile[cursol_H][cursol_W] = "/"
cursol_W += 1
elif Tile[cursol_H][cursol_W] == "v" :
Tile[cursol_H][cursol_W] = "/"
cursol_H += 1
elif Tile[cursol_H][cursol_W] == "<" :
Tile[cursol_H][cursol_W] = "/"
cursol_W -= 1
elif Tile[cursol_H][cursol_W] == "^" :
Tile[cursol_H][cursol_W] = "/"
cursol_H -= 1
elif Tile[cursol_H][cursol_W] == "/" :
roop = "ON"
break
else :
break
if roop == "ON" :
print("LOOP")
else :
print(cursol_W, cursol_H)
``` | instruction | 0 | 17,614 | 3 | 35,228 |
Yes | output | 1 | 17,614 | 3 | 35,229 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
while True:
h,w = map(int,input().split())
if (h,w) == (0,0):
break
l = []
for i in range(h):
l.append(input())
x,y = 0,0
l1 = []
while True:
if (x,y) in l1:
print('LOOP')
break
l1.append((x,y))
pos = l[y][x]
if pos == '.':
print(x,y)
break
elif pos == '<':
x -= 1
elif pos == '>':
x += 1
elif pos == '^':
y -= 1
elif pos == 'v':
y += 1
``` | instruction | 0 | 17,615 | 3 | 35,230 |
Yes | output | 1 | 17,615 | 3 | 35,231 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
posX,posY=0,0
H,W=map(int,input().split())
while not(H==W==0):
tile=[[False for i in range(W)] for j in range(H)]
tileinfo=[['' for i in range(W)] for j in range(H)]
for i in range(H):
tileinfo[i]=input().rstrip()
while True:
if tileinfo[posX][posY]=='>':
posX+=1
elif tileinfo[posX][posY]=='<':
posX-=1
elif tileinfo[posX][posY]=='v':
posY+=1
elif tileinfo[posX][posY]=='^':
posY-=1
elif tileinfo[posX][posY]=='.':
print('{} {}'.format(posX,posY))
break
if tile[posX][posY]==True:
print('LOOP')
break
else:
tile[posX][posY]=True
``` | instruction | 0 | 17,616 | 3 | 35,232 |
No | output | 1 | 17,616 | 3 | 35,233 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
posX,posY=0,0
H,W=map(int,input().split())
while not(H==W==0):
tile=[[False for i in range(W)] for j in range(H)]
tileinfo=[['' for i in range(W)] for j in range(H)]
for i in range(H):
tileinfo[i]=input().rstrip()
while True:
if tileinfo[posX][posY]=='>':
posX+=1
continue
elif tileinfo[posX][posY]=='<':
posX-=1
continue
elif tileinfo[posX][posY]=='v':
posY+=1
continue
elif tileinfo[posX][posY]=='^':
posY-=1
continue
elif tileinfo[posX][posY]=='.':
print('{} {}'.format(posX,posY))
break
if tile[posX][posY]==True:
print('LOOP')
break
else:
tile[posX][posY]=True
``` | instruction | 0 | 17,617 | 3 | 35,234 |
No | output | 1 | 17,617 | 3 | 35,235 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
def solve(IsTraveled,data,h,w):
IsTraveled[h][w]=True
x=data[h][w]
if x==".":
print(w,h)
elif x=="^":
if IsTraveled[h-1][w]==True:
print("LOOP")
else:
solve(IsTraveled,data,h-1,w)
elif x=="v":
if IsTraveled[h+1][w]==True:
print("LOOP")
else:
solve(IsTraveled,data,h+1,w)
elif x==">":
if IsTraveled[h][w+1]==True:
print("LOOP")
else:
solve(IsTraveled,data,h,w+1)
elif x=="<":
if IsTraveled[h][w-1]==True:
print("LOOP")
else:
solve(IsTraveled,data,h,w-1)
while 1:
y=input()
h,w=y.split()
h,w=int(h),int(w)
if h==0:
break
IsTraveled=[[False for i in range(w)] for j in range(h)]
data=[[] for j in range(h)]
for i in range(h):
inputdata=input()
for j in range(len(inputdata)):
data[i].append(inputdata[j])
# print(data)
solve(IsTraveled,data,0,0)
IsTraveled.clear()
data.clear()
``` | instruction | 0 | 17,618 | 3 | 35,236 |
No | output | 1 | 17,618 | 3 | 35,237 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
Submitted Solution:
```
posX,posY=0,0
H,W=map(int,input().split())
for i in range(H):
spam=input().rstrip()
for j in range(W):
if posX==j:
if spam[j]=='>': posX+=1
elif spam[j]=='<': posX-=1
elif spam[j]=='v': posY+=1
elif spam[j]=='^': posY-=1
else: break
``` | instruction | 0 | 17,619 | 3 | 35,238 |
No | output | 1 | 17,619 | 3 | 35,239 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 17,995 | 3 | 35,990 |
Tags: math
Correct Solution:
```
#!/usr/bin/env python3
from math import sqrt
m, r = map(int,input().split())
acc = 0.0
for i in range(m):
acc += 2*r
for j in [i,m-i-1]:
if j:
acc += (2 + sqrt(2)) * r
acc += (2*(j-1)*j/2 + 2*sqrt(2)*(j-1)) * r
print('%.12f' % (acc/(m**2)))
``` | output | 1 | 17,995 | 3 | 35,991 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 17,996 | 3 | 35,992 |
Tags: math
Correct Solution:
```
m,R=map(int, input().split())
print((2*m/3-2+22/m/3-4/m/m+2**.5*(2-4/m+2/m/m))*R)
# Made By Mostafa_Khaled
``` | output | 1 | 17,996 | 3 | 35,993 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 17,997 | 3 | 35,994 |
Tags: math
Correct Solution:
```
import math
m,R=map(int,input().split())
cord=math.sqrt(2*(R**2))
ans=0
unit=int(2*R)
x=(m)*(m/2)
for i in range(m):
ans+=2*R*m
ans+=(cord*(m-1))
if(i==0 or i==m-1):
if(m==1):
continue
ans+=cord*(m-2)
else:
if(m==1):
continue
ans+=cord*(m-3)
#left
left=(i-1)-1
if(left<-1):
left=-1
ans+=(left+1)*(left/2)*unit
#right
r=(m-1)-(i)-2
if(r<-1):
r=-1
ans+=(r+1)*(r/2)*unit
ans/=(m**2)
print(ans)
``` | output | 1 | 17,997 | 3 | 35,995 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 17,998 | 3 | 35,996 |
Tags: math
Correct Solution:
```
import math
m,R = map (int,input().split())
D = math.sqrt (2) * R
result = 0
def sum_dist (n):
return n*(n+1)*R + 2*D*n
for i in range (1,m+1):
result += 2*R
if i-1 > 0: result += 2*R + D
if m-i > 0: result += 2*R + D
if i-2 > 0: result += sum_dist (i-2)
if m-i-1 > 0: result += sum_dist (m-i-1)
print (result / m / m)
``` | output | 1 | 17,998 | 3 | 35,997 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 17,999 | 3 | 35,998 |
Tags: math
Correct Solution:
```
m, r = map(int, input().split())
def calc(k):
if k < 1:
return 0
else:
return (1 + 2 * (k - 1)) * 2**0.5 + k * 2 + (k - 1) * (k - 2)
avg = 0
div = m ** 2
for i in range(0, m):
avg += r * (2 + calc(i) + calc(m - 1 - i)) / div
print(avg)
``` | output | 1 | 17,999 | 3 | 35,999 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 18,000 | 3 | 36,000 |
Tags: math
Correct Solution:
```
m, r = map(int, input().split())
res, sq2 = 0, (2**.5)
for i in range(1, m):
res += 2 + sq2 + 2 * sq2 * (i-1) + (i-1) * i
res = (res + m) * 2 * r
print(res / (m * m))
``` | output | 1 | 18,000 | 3 | 36,001 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 18,001 | 3 | 36,002 |
Tags: math
Correct Solution:
```
m,R=map(int, input().split())
print((2*m/3-2+22/m/3-4/m/m+2**.5*(2-4/m+2/m/m))*R)
``` | output | 1 | 18,001 | 3 | 36,003 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample | instruction | 0 | 18,002 | 3 | 36,004 |
Tags: math
Correct Solution:
```
m, r = map(int, input().split())
print(2 * r * (m + (2 + 2 ** 0.5) * (m - 1) + (m - 1) * (m - 2) * (m / 3 + 2 ** 0.5)) / (m * m))
``` | output | 1 | 18,002 | 3 | 36,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
m, r = map(int, input().split())
answer = 0
from math import sqrt
def fef(vev):
if vev == 0:
return 0
if vev <= 1:
return 2 * r + sqrt(2) * r
curr = 2 * r + sqrt(2) * r
curr += (vev - 1) * (2 * r + sqrt(2) *2 * r)
curr += r * (vev - 1) * (vev - 2)
return curr
for i in range(m):
answer += fef(i)
answer += fef(m - 1- i)
answer += 2 * r
print(answer / (m ** 2))
``` | instruction | 0 | 18,003 | 3 | 36,006 |
Yes | output | 1 | 18,003 | 3 | 36,007 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
import math
m,R=map(int,input().split())
cord=math.sqrt(2*(R**2))
li=0
unit=int(2*R)
x=(m)*(m/2)
for i in range(m):
li+=2*R*m
li+=(cord*(m-1))
if(i==0 or i==m-1):
if(m==1):
continue
li+=cord*(m-2)
else:
if(m==1):
continue
li+=cord*(m-3)
left=(i-1)-1
if(left<-1):
left=-1
li+=(left+1)*(left/2)*unit
r=(m-1)-(i)-2
if(r<-1):
r=-1
li=li+(r+1)*(r/2)*unit
li/=(m**2)
print(li)
``` | instruction | 0 | 18,004 | 3 | 36,008 |
Yes | output | 1 | 18,004 | 3 | 36,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
m,R = [int(x) for x in input().split()]
if m == 1:
print(2*R)
else:
tot = 0
for i in range(m):
tot += 2
if i == 0 or i == m-1:
tot += 2+2**.5
tot += (m-2)*(m-1)
tot += 2*2**.5*(m-2)
else:
tot += 4+2*2**.5
tot += i*(i-1)
tot += (m-i-1)*(m-i-2)
tot += 2*2**.5*(m-3)
#print(i,tot)
tot *= R
tot /= m*m
print(tot)
##print(
##print(R*(2+(1+2**.5+(2*m-1)/3)*(m-1))/m)
##print(R*(1+m+m*2**.5-2**.5+(2*m*m/3)-m+1/3)/m)
##print(R*(1/m+2**.5-(2**.5)/m+2*m/3+1/3))
##print(R/m+R*2**.5-(R*2**.5)/m+2*R*m/3+R/3)
``` | instruction | 0 | 18,005 | 3 | 36,010 |
Yes | output | 1 | 18,005 | 3 | 36,011 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
m, r = map(int, input().split())
def calc(k):
global r
if k < 1:
return 0
elif k == 1:
return r * (2**0.5 + 2)
else:
return r * ((1 + 2 * (k - 1)) * 2**0.5 + k * 2 + (k - 1) * (k - 2))
avg = 0
div = m ** 2
for i in range(0, m):
avg += (2 * r + calc(i) + calc(m - 1 - i)) / div
print(avg)
``` | instruction | 0 | 18,006 | 3 | 36,012 |
Yes | output | 1 | 18,006 | 3 | 36,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
import math
m, r = map(int, input().split())
def s(n):
if n == 0:
return 0
# return r * ((math.sqrt(2) + 1) * n + n ** 2)
return (2 * r + math.sqrt(2) * r + (n - 1) * 2 * r + 2 * r + math.sqrt(2) * r) * n / 2
print(sum(s(i) + 2 * r + s(m - i - 1) for i in range(m)) / m ** 2)
``` | instruction | 0 | 18,007 | 3 | 36,014 |
No | output | 1 | 18,007 | 3 | 36,015 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
import math;
m, r = [int(x) for x in input().split(" ")]
d = (2.0 + math.sqrt(2)) * r
ans = 0.0
for i in range(m):
lf = i
rg = m-i-1
ans += 2*r
ans += d*(lf+rg)
ans += r*lf*(lf-1)/2
ans += r*rg*(rg-1)/2
print("%.10f" % (ans/(m**2)))
``` | instruction | 0 | 18,008 | 3 | 36,016 |
No | output | 1 | 18,008 | 3 | 36,017 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
from math import *
m, R = map(int, input().split())
ssq = sum(i ** 2 for i in range(m))
print("%.7f" % (R * (2 * ssq / (m * m) + (2 + (m - 1) * (1 + sqrt(2))) / m)))
``` | instruction | 0 | 18,009 | 3 | 36,018 |
No | output | 1 | 18,009 | 3 | 36,019 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One beautiful day Vasily the bear painted 2m circles of the same radius R on a coordinate plane. Circles with numbers from 1 to m had centers at points (2R - R, 0), (4R - R, 0), ..., (2Rm - R, 0), respectively. Circles with numbers from m + 1 to 2m had centers at points (2R - R, 2R), (4R - R, 2R), ..., (2Rm - R, 2R), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for m2 days. Each day of the experiment got its own unique number from 0 to m2 - 1, inclusive.
On the day number i the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number <image> (<image> is the result of dividing number x by number y, rounded down to an integer).
2. The fly went along the coordinate plane to the center of the circle number <image> (<image> is the remainder after dividing number x by number y). The bear noticed that the fly went from the center of circle v to the center of circle u along the shortest path with all points lying on the border or inside at least one of the 2m circles. After the fly reached the center of circle u, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these m2 days.
Input
The first line contains two integers m, R (1 ≤ m ≤ 105, 1 ≤ R ≤ 10).
Output
In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 6.
Examples
Input
1 1
Output
2.0000000000
Input
2 2
Output
5.4142135624
Note
<image>
Figure to the second sample
Submitted Solution:
```
from math import *
m, r = map(int, input().split())
Z = 0
ANS = 0
ANS += 2 * r * m
for i in range(m):
k = m - i - 1
ANS += k * (2 * r)
Z += k
if (k > 1):
k -= 1
ANS += (k * (k + 1)) * r
k = i
ANS += k * (2 * r)
Z += k
if (k > 1):
k -= 1
ANS += (k * (k + 1)) * r
# print(ANS, Z)
ans = sqrt(2 * r * r)
ans *= Z
ans += ANS
ans /= m * m
print(ans)
``` | instruction | 0 | 18,010 | 3 | 36,020 |
No | output | 1 | 18,010 | 3 | 36,021 |
Provide a correct Python 3 solution for this coding contest problem.
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of n brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains).
2. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid.
Input
The first line of the input contains two space-separated integers n and m (1 ≤ n, m ≤ 1000) denoting the number of brains (which are conveniently numbered from 1 to n) and the number of brain connectors in the nervous system, respectively. In the next m lines, descriptions of brain connectors follow. Every connector is given as a pair of brains a b it connects (1 ≤ a, b ≤ n, a ≠ b).
Output
The output consists of one line, containing either yes or no depending on whether the nervous system is valid.
Examples
Input
4 4
1 2
2 3
3 1
4 1
Output
no
Input
6 5
1 2
2 3
3 4
4 5
3 6
Output
yes | instruction | 0 | 18,155 | 3 | 36,310 |
"Correct Solution:
```
from sys import stdin as fin
# fin = open("hcc2016c1.in", "r")
def dfs(v, p):
global g, used, cnt
cnt += 1
used[v] = True
for u in g[v]:
if u != p and (used[u] or not dfs(u, v)):
return False
return True
n, m = map(int, fin.readline().split())
used = [False] * n
g = [[] for i in range(n)]
for i in range(m):
v, u = map(int, fin.readline().split())
v, u = v - 1, u - 1
g[v].append(u)
g[u].append(v)
cnt = 0
if not dfs(0, None) or cnt != n:
print("no")
else:
print("yes")
``` | output | 1 | 18,155 | 3 | 36,311 |
Provide a correct Python 3 solution for this coding contest problem.
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of n brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains).
2. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid.
Input
The first line of the input contains two space-separated integers n and m (1 ≤ n, m ≤ 1000) denoting the number of brains (which are conveniently numbered from 1 to n) and the number of brain connectors in the nervous system, respectively. In the next m lines, descriptions of brain connectors follow. Every connector is given as a pair of brains a b it connects (1 ≤ a, b ≤ n, a ≠ b).
Output
The output consists of one line, containing either yes or no depending on whether the nervous system is valid.
Examples
Input
4 4
1 2
2 3
3 1
4 1
Output
no
Input
6 5
1 2
2 3
3 4
4 5
3 6
Output
yes | instruction | 0 | 18,156 | 3 | 36,312 |
"Correct Solution:
```
# Python program to check if a given directed graph is strongly
# connected or not
import sys
from collections import defaultdict
class Graph:
def __init__(self, V):
self.V = V
self.graph = defaultdict(list)
def addEdge(self, v, w):
# Add w to v ist.
self.graph[v].append(w)
# Add v to w list.
self.graph[w].append(v)
# A recursive function that uses visited[]
# and parent to detect cycle in subgraph
# reachable from vertex v.
def isCyclicUtil(self, v, visited, parent):
# Mark current node as visited
visited[v] = True
# Recur for all the vertices adjacent
# for this vertex
for i in self.graph[v]:
# If an adjacent is not visited,
# then recur for that adjacent
if visited[i] == False:
if self.isCyclicUtil(i, visited, v) == True:
return True
# If an adjacent is visited and not
# parent of current vertex, then there
# is a cycle.
elif i != parent:
return True
return False
# Returns true if the graph is a tree,
# else false.
def isTree(self):
# Mark all the vertices as not visited
# and not part of recursion stack
visited = [False] * self.V
# The call to isCyclicUtil serves multiple
# purposes. It returns true if graph reachable
# from vertex 0 is cyclcic. It also marks
# all vertices reachable from 0.
if self.isCyclicUtil(0, visited, -1) == True:
return False
# If we find a vertex which is not reachable
# from 0 (not marked by isCyclicUtil(),
# then we return false
for i in range(self.V):
if visited[i] == False:
return False
return True
def main():
s = sys.stdin.readline().split()
n, m = int(s[0]), int(s[1])
graph = Graph(n)
for _ in range(m):
s = sys.stdin.readline().split()
graph.addEdge(int(s[0]) - 1, int(s[1]) - 1)
return "yes" if graph.isTree() else "no"
if __name__ == "__main__":
sys.stdout.write(main())
``` | output | 1 | 18,156 | 3 | 36,313 |
Provide a correct Python 3 solution for this coding contest problem.
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of n brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains).
2. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid.
Input
The first line of the input contains two space-separated integers n and m (1 ≤ n, m ≤ 1000) denoting the number of brains (which are conveniently numbered from 1 to n) and the number of brain connectors in the nervous system, respectively. In the next m lines, descriptions of brain connectors follow. Every connector is given as a pair of brains a b it connects (1 ≤ a, b ≤ n, a ≠ b).
Output
The output consists of one line, containing either yes or no depending on whether the nervous system is valid.
Examples
Input
4 4
1 2
2 3
3 1
4 1
Output
no
Input
6 5
1 2
2 3
3 4
4 5
3 6
Output
yes | instruction | 0 | 18,157 | 3 | 36,314 |
"Correct Solution:
```
def is_valid():
import sys
#with open(filename, 'r') as f:
with sys.stdin as f:
for i, line in enumerate(f):
if i == 0:
N, M = line.split(' ')
N, M = int(N), int(M)
if N-1 != M:
return False
graph = [[] for _ in range(N)] # [[]] * N not working, no deepcopy
else:
fromVertex, toVertex = line.split(' ')
fromVertex, toVertex = int(fromVertex)-1, int(toVertex)-1
graph[fromVertex].append(toVertex)
graph[toVertex].append(fromVertex)
from queue import LifoQueue
def is_single_component(start_node, graph):
N = len(graph)
visited = [False for _ in range(N)]
visited[start_node] = True
nodes_queue = LifoQueue()
nodes_queue.put(start_node)
while not nodes_queue.empty():
node = nodes_queue.get()
for neigh in graph[node]:
if not visited[neigh]:
visited[neigh] = True
nodes_queue.put(neigh)
#else: not a cycle because edges in both directions
return all(visited)
return is_single_component(0, graph)
if is_valid():
print("yes")
else:
print("no")
``` | output | 1 | 18,157 | 3 | 36,315 |
Provide a correct Python 3 solution for this coding contest problem.
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of n brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains).
2. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid.
Input
The first line of the input contains two space-separated integers n and m (1 ≤ n, m ≤ 1000) denoting the number of brains (which are conveniently numbered from 1 to n) and the number of brain connectors in the nervous system, respectively. In the next m lines, descriptions of brain connectors follow. Every connector is given as a pair of brains a b it connects (1 ≤ a, b ≤ n, a ≠ b).
Output
The output consists of one line, containing either yes or no depending on whether the nervous system is valid.
Examples
Input
4 4
1 2
2 3
3 1
4 1
Output
no
Input
6 5
1 2
2 3
3 4
4 5
3 6
Output
yes | instruction | 0 | 18,158 | 3 | 36,316 |
"Correct Solution:
```
l = []
were = []
def dfs(v):
global l, were
if not were:
were = len(l) * [False]
were[v] = True
for i in l[v]:
if not were[i]:
dfs(i)
n, m = map(int, input().split())
if m != n - 1:
print("no")
else:
l = [[] for i in range(n)]
for i in range(m):
a, b = map(int, input().split())
l[a - 1].append(b - 1)
l[b - 1].append(a - 1)
dfs(0)
f = True
for i in were:
f = f and i
if f:
print("yes")
else:
print("no")
``` | output | 1 | 18,158 | 3 | 36,317 |
Provide a correct Python 3 solution for this coding contest problem.
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of n brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains).
2. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid.
Input
The first line of the input contains two space-separated integers n and m (1 ≤ n, m ≤ 1000) denoting the number of brains (which are conveniently numbered from 1 to n) and the number of brain connectors in the nervous system, respectively. In the next m lines, descriptions of brain connectors follow. Every connector is given as a pair of brains a b it connects (1 ≤ a, b ≤ n, a ≠ b).
Output
The output consists of one line, containing either yes or no depending on whether the nervous system is valid.
Examples
Input
4 4
1 2
2 3
3 1
4 1
Output
no
Input
6 5
1 2
2 3
3 4
4 5
3 6
Output
yes | instruction | 0 | 18,159 | 3 | 36,318 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(1000000)
def dfs(v, pr):
global used
global p
global f
if not f:
return None
if used[v]:
f = False
used[v] = True
for i in range(len(p[v])):
if p[v][i] != pr:
dfs(p[v][i], v)
n, m = map(int, input().split())
p = []
for i in range(n):
p.append([])
for i in range(m):
a, b = map(int, input().split())
a -= 1
b -= 1
p[a].append(b)
p[b].append(a)
used = [False] * n
f = True
for i in range(n):
if i != 0 and not used[i]:
f = False
break
if not used[i]:
dfs(i, -1)
if f:
print('yes')
else:
print('no')
``` | output | 1 | 18,159 | 3 | 36,319 |
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