message stringlengths 2 22.7k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 145 109k | cluster float64 9 9 | __index_level_0__ int64 290 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
for _ in range(int(input())):
n = int(input())
arr = list(map(int,input().split()))
arrb = list(map(int,input().split()))
c = 0
if(len(set(arr)) == len(set(arrb))==1):
print(0)
else:
a = min(arr)
b = min(arrb)
for i in range(n):
if(arr[i]>a and arrb[i]>b):
c+=max(arr[i]-a,arrb[i]-b)
else:
c+=max(arr[i]-a,arrb[i]-b)
print(c)
``` | instruction | 0 | 41,442 | 9 | 82,884 |
Yes | output | 1 | 41,442 | 9 | 82,885 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
t, an = int(input()), []
for i in range(t):
n, a, b = int(input()), [int(j) for j in input().split()], [int(h) for h in input().split()]
am = min(a)
bm = min(b)
an.append(0)
for e in range(n):
an[i] += max((a[e] - am), (b[e] - bm))
print('\n'.join([str(i) for i in an]))
``` | instruction | 0 | 41,443 | 9 | 82,886 |
Yes | output | 1 | 41,443 | 9 | 82,887 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
for _ in range(int(input())):
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
ma=min(a)
mb=min(b)
c=0
for i in range(n):
c=c+max(a[i]-ma,b[i]-mb)
print(c)
``` | instruction | 0 | 41,444 | 9 | 82,888 |
Yes | output | 1 | 41,444 | 9 | 82,889 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
def find_min(lis1,lis2):
min_candies = lis1[0]
min_oranges = lis2[0]
for ind, i in enumerate(lis1):
if i < min_candies:
min_candies = i
if lis2[ind] < min_oranges:
min_oranges = lis2[ind]
return [min_candies, min_oranges]
print(find_min([1, 2, 3, 4, 5],[5, 4, 3, 2, 1]))
def compare(a, b):
if a <= b:
return a
return b
def gift1(candies, oranges, min_candies_oranges): # first two are numbers and the last is list with size 2
min_candies, min_oranges = min_candies_oranges
dif_candies = candies - min_candies
dif_oranges = oranges - min_oranges
to_eat_together = compare(dif_candies, dif_oranges)
to_eat_orange = dif_oranges - to_eat_together
to_eat_candies = dif_candies - to_eat_together
return (to_eat_together + to_eat_candies + to_eat_orange)
#print(gift1(6, 6, [1, 1]))
def man():
list_1 = []
list_2 = []
list_3 = []
k = []
a = input()
for i in range(3 * int(a)):
a = input()
if len(a) == 1:
continue
else:
a = [int(i) for i in a.split()]
k.append(a)
if (i + 1) % 3 == 0:
if k:
list_1.append(k)
k = []
for i in list_1:
min_candies_oranges = find_min(i[0], i[1])
sum = 0
for loc, j in enumerate(i[0]):
sum += gift1(j, i[1][loc], min_candies_oranges)
list_2.append(str(sum))
return "\n".join(list_2)
``` | instruction | 0 | 41,445 | 9 | 82,890 |
No | output | 1 | 41,445 | 9 | 82,891 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
t=int(input())
for i in range(t):
n=int(input())
l1=list(map(int,input().split()))
l2=list(map(int,input().split()))
x=min(l1)
y=min(l2)
move=0
for j in range(n):
while(l1[j]!=x and l2[j]!=y):
l1[j]-=1
l2[j]-=1
move+=1
if(l1[j]!=x):
if(x==1):
move+=(l1[j]-1)
break
move+=(l1[j]-x)
if(l2[j]!=y):
if(y==1):
move+=(l2[j]-1)
break
move+=(l2[j]-y)
print(move)
``` | instruction | 0 | 41,446 | 9 | 82,892 |
No | output | 1 | 41,446 | 9 | 82,893 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
t = int(input())
for i in range(t):
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
if n == 1:
print(0)
break
count = 0
for j in range(n):
count += max(a[j] - min(a), b[j] - min(b))
print(count)
``` | instruction | 0 | 41,447 | 9 | 82,894 |
No | output | 1 | 41,447 | 9 | 82,895 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i-th gift consists of a_i candies and b_i oranges.
During one move, you can choose some gift 1 ≤ i ≤ n and do one of the following operations:
* eat exactly one candy from this gift (decrease a_i by one);
* eat exactly one orange from this gift (decrease b_i by one);
* eat exactly one candy and exactly one orange from this gift (decrease both a_i and b_i by one).
Of course, you can not eat a candy or orange if it's not present in the gift (so neither a_i nor b_i can become less than zero).
As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a_1 = a_2 = ... = a_n and b_1 = b_2 = ... = b_n (and a_i equals b_i is not necessary).
Your task is to find the minimum number of moves required to equalize all the given gifts.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.
The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the number of gifts. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the number of candies in the i-th gift. The third line of the test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9), where b_i is the number of oranges in the i-th gift.
Output
For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.
Example
Input
5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4
Output
6
16
0
4999999995
7
Note
In the first test case of the example, we can perform the following sequence of moves:
* choose the first gift and eat one orange from it, so a = [3, 5, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 4, 6] and b = [2, 2, 3];
* choose the second gift and eat one candy from it, so a = [3, 3, 6] and b = [2, 2, 3];
* choose the third gift and eat one candy and one orange from it, so a = [3, 3, 5] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 4] and b = [2, 2, 2];
* choose the third gift and eat one candy from it, so a = [3, 3, 3] and b = [2, 2, 2].
Submitted Solution:
```
def main():
t = int(input())
for _ in range(t):
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
a_min = min(a)
b_min = max(b)
count = 0
for i in range(n):
count += max(a[i]-a_min, b[i]-b_min)
print(count)
if __name__ == "__main__":
main()
'''
3 5 6 => 3 5 6 =>
3 2 3 => 2 3 3 =>
2 3
1 2
'''
``` | instruction | 0 | 41,448 | 9 | 82,896 |
No | output | 1 | 41,448 | 9 | 82,897 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,784 | 9 | 83,568 |
Tags: brute force, implementation
Correct Solution:
```
#n,k = map(int, input().strip().split(' '))
n=int(input())
lst = list(map(int, input().strip().split(' ')))
if n==1:
print(lst[0])
elif n==2:
print(abs(lst[1]-lst[0]))
else:
s=360
m=360
lst=lst*2
for i in range(n):
p=0
for j in range(i,i+n-1):
p+=lst[j]
if abs(s-2*p)<m:
m=abs(s-2*p)
print(m)
``` | output | 1 | 41,784 | 9 | 83,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,785 | 9 | 83,570 |
Tags: brute force, implementation
Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
print(2*min(abs(180-sum(a[l:r])) for l in range(n) for r in range(l,n)))
``` | output | 1 | 41,785 | 9 | 83,571 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,786 | 9 | 83,572 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
maxv = 0
minv = 360
for i in range(0, n):
sum = 0
for j in range(i, n):
sum = sum + a[j]
if(sum > maxv and sum <= 180):
maxv = sum
if(sum < minv and sum >= 180):
minv = sum
print(min(360 - 2 * maxv, 2 * minv - 360))
``` | output | 1 | 41,786 | 9 | 83,573 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,787 | 9 | 83,574 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
l = [int(x) for x in input().split()]
ans = 360
for i in range(n):
for j in range(i + 1, n):
ans = min(ans, abs(180 - sum(l[i:j])) * 2)
print(ans)
``` | output | 1 | 41,787 | 9 | 83,575 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,788 | 9 | 83,576 |
Tags: brute force, implementation
Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
#a.sort(reverse=True)
l=0
ans=360
sum1=0
for k in a:
sum1=sum1+k
while(sum1>=180):
ans=min(ans,2*abs(180-sum1))
sum1=sum1-a[l]
l=l+1
ans=min(ans,2*abs(180-sum1))
print(ans)
``` | output | 1 | 41,788 | 9 | 83,577 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,789 | 9 | 83,578 |
Tags: brute force, implementation
Correct Solution:
```
import math
a = int(input())
b = list(map(int, input().split()))
e = 361
if b[0] == 360:
print(360)
else:
for c in range(a - 1):
for d in range(a - 1):
if math.fabs(180 - sum(b[c: -(a - 1 - d)])) * 2 < e:
e = math.fabs(180 - sum(b[c: -(a - 1 - d)])) * 2
print(int(e))
``` | output | 1 | 41,789 | 9 | 83,579 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,790 | 9 | 83,580 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
best = 360
tab = list(map(int, input().split()))
pre_sum = [0]
for i in range(1, len(tab) + 1):
pre_sum += [tab[i - 1] + pre_sum[-1]]
for i in range(n + 1):
for j in range(i, n + 1):
best = min([best, 2 * abs(180 - (pre_sum[j] - pre_sum[i - 1]))])
print(best);
``` | output | 1 | 41,790 | 9 | 83,581 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector. | instruction | 0 | 41,791 | 9 | 83,582 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
l = list(map(int, input().split()))
s = [0]
r_s = [0]
for i in range(n):
s.append(s[-1] + l[i])
r_s.append(r_s[-1] + l[n-1-i])
m = float("inf")
for right_end in range(n):
for left_end in range(n-right_end+1):
if abs(s[left_end] + r_s[right_end] - (r_s[-left_end-1] - r_s[right_end])) < m:
m = abs(s[left_end] + r_s[right_end] - (r_s[-left_end-1] - r_s[right_end]))
print(m)
``` | output | 1 | 41,791 | 9 | 83,583 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
ans=360
for i in range(n):
for j in range(i,n):
ans=min(ans,abs(180-sum(a[i:j]))*2)
print(ans)
``` | instruction | 0 | 41,792 | 9 | 83,584 |
Yes | output | 1 | 41,792 | 9 | 83,585 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
delta = sum(a)
for i in range(len(a)):
for j in range(len(a)):
if delta == 0:
break
if delta > abs(sum(a[j:]) + sum(a[:i]) - sum(a[i:j])):
delta = abs(sum(a[j:]) + sum(a[:i]) - sum(a[i:j]))
print(delta)
``` | instruction | 0 | 41,793 | 9 | 83,586 |
Yes | output | 1 | 41,793 | 9 | 83,587 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
z,zz,dgraphs=input,lambda:list(map(int,z().split())),{}
from string import *
from collections import *
from queue import *
from sys import *
from collections import *
from math import *
from heapq import *
from itertools import *
from bisect import *
from collections import Counter as cc
from math import factorial as f
def lcd(xnum1,xnum2):return (xnum1*xnum2//gcd(xnum1,xnum2))
def prime(x):
p=ceil(x**.5)+1
for i in range(2,p):
if x%i==0 and x!=2:return 0
return 1
def dfs(u,visit,graph):
visit[u]=True
for i in graph[u]:
if not visit[i]:
dfs(i,visit,graph)
################################################################################
"""
led=(6,2,5,5,4,5,6,3,7,6)
vowel={'a':0,'e':0,'i':0,'o':0,'u':0}
color4=["G", "GB", "YGB", "YGBI", "OYGBI" ,"OYGBIV",'ROYGBIV' ]
"""
###########################---START-CODING---####################################
n=int(z())
ll=zz()
lx=[360]
for l in range(n):
for r in range(l+1,n+1):
ans = abs(2 * sum(ll[l:r]) - 360)
lx.append(ans)
print(min(lx))
``` | instruction | 0 | 41,794 | 9 | 83,588 |
Yes | output | 1 | 41,794 | 9 | 83,589 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
import math
import sys
import getpass
def ria():
return [int(i) for i in input().split()]
files = True
if getpass.getuser().lower() == 'frohenk' and files:
sys.stdin = open('test.in')
#sys.stdout = open('test.out', 'w')
n=ria()[0]
ar=ria()
suma=sum(ar)
ar+=ar
mini=1000
for i in range(n):
for j in range(i,i+n+1):
#print()
sums = sum(ar[i:j])
cura = abs((suma - sums) - sums)
#print(cura,ar[i:j])
mini=min(mini, cura)
print(mini)
sys.stdout.close()
``` | instruction | 0 | 41,795 | 9 | 83,590 |
Yes | output | 1 | 41,795 | 9 | 83,591 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
l=sorted(l)
a=360
for i in range(n) :
for j in range(i+1,n) :
a=min(a,abs(180-sum(l[i:j])))
print(a)
``` | instruction | 0 | 41,796 | 9 | 83,592 |
No | output | 1 | 41,796 | 9 | 83,593 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
g=int(input())
l=input().split(" ")
for i in range(g):
l[i]=int(l[i])
if(g==1):
print(l[0])
else:
a=max(l)
sum=a
diff=abs(180-a)
if(diff==0):
print(0)
else:
l.remove(a)
for i in l:
if(abs(180-(a+i))<diff):
a=a+i
sum=a
diff=abs((180-(a+i)))
print(abs(360-sum*2))
``` | instruction | 0 | 41,797 | 9 | 83,594 |
No | output | 1 | 41,797 | 9 | 83,595 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
n = int(input())
l = input().split()
s = 0
s1 = 0
a = list(map(int, l))
f = False
lv = []
for m in a[1:n]:
s += m
if n % 2 == 0:
for u in range(n - 1):
if (a[u] + a[u + 1] == 180 and f == False) or (a[u] + a[u - 1] == 180 and f == False):
print(0)
f = True
if f == False:
for i in range(n - 1):
s1 += a[i]
print(abs(s1 - a[-1]))
if n % 2 == 1:
for i in range(n - 1):
s1 += a[i]
print(abs(s1 - a[-1]))
``` | instruction | 0 | 41,798 | 9 | 83,596 |
No | output | 1 | 41,798 | 9 | 83,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Students Vasya and Petya are studying at the BSU (Byteland State University). At one of the breaks they decided to order a pizza. In this problem pizza is a circle of some radius. The pizza was delivered already cut into n pieces. The i-th piece is a sector of angle equal to ai. Vasya and Petya want to divide all pieces of pizza into two continuous sectors in such way that the difference between angles of these sectors is minimal. Sector angle is sum of angles of all pieces in it. Pay attention, that one of sectors can be empty.
Input
The first line contains one integer n (1 ≤ n ≤ 360) — the number of pieces into which the delivered pizza was cut.
The second line contains n integers ai (1 ≤ ai ≤ 360) — the angles of the sectors into which the pizza was cut. The sum of all ai is 360.
Output
Print one integer — the minimal difference between angles of sectors that will go to Vasya and Petya.
Examples
Input
4
90 90 90 90
Output
0
Input
3
100 100 160
Output
40
Input
1
360
Output
360
Input
4
170 30 150 10
Output
0
Note
In first sample Vasya can take 1 and 2 pieces, Petya can take 3 and 4 pieces. Then the answer is |(90 + 90) - (90 + 90)| = 0.
In third sample there is only one piece of pizza that can be taken by only one from Vasya and Petya. So the answer is |360 - 0| = 360.
In fourth sample Vasya can take 1 and 4 pieces, then Petya will take 2 and 3 pieces. So the answer is |(170 + 10) - (30 + 150)| = 0.
Picture explaning fourth sample:
<image>
Both red and green sectors consist of two adjacent pieces of pizza. So Vasya can take green sector, then Petya will take red sector.
Submitted Solution:
```
n = eval(input())
arr = []
arr = [int(x) for x in input().split()]
arr.sort()
while arr[0] == 0:
arr.pop(0)
if len(arr) > 1:
first = arr.pop()
second = arr.pop()
while len(arr) > 0:
if len(arr) == 1:
second += arr.pop()
elif len(arr) > 1 and first == second:
first += arr.pop(0)
second += arr.pop(0)
elif first > second:
while first > second and len(arr) > 0:
second += arr.pop()
elif second > first:
while second > first and len(arr) > 0:
first += arr.pop()
print(abs(first - second))
else:
print (arr.pop())
``` | instruction | 0 | 41,799 | 9 | 83,598 |
No | output | 1 | 41,799 | 9 | 83,599 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,704 | 9 | 85,408 |
"Correct Solution:
```
N, K = [int(_) for _ in input().split()]
TD = [[int(_) for _ in input().split()] for i in range(N)]
# print(TD)
xs = sorted(TD, key=lambda x:-x[1])
#print(xs)
baset = 0
ts = set()
ds = []
for t, d in xs[:K]:
baset += d
if not t in ts:
ts.add(t)
else:
ds.append(d)
result = baset + len(ts)**2
r = result
for t, d in xs[K:]:
if not ds:
break
if t not in ts:
r += 2*len(ts) + 1
r += d - ds.pop()
ts.add(t)
result = max(r,result)
print(result)
``` | output | 1 | 42,704 | 9 | 85,409 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,705 | 9 | 85,410 |
"Correct Solution:
```
N,K=map(int,input().split())
l=[] # 寿司リスト。ただし,「おいしさ」を第1要素にする
m=[] # 寿司タプルをそのまま入れる
s=set()
for i in range(N):
t,d=map(int,input().split())
l.append((d,t))
l.sort(reverse=True)
ans=K**2
t=0 # 既に食べたことのある種類の寿司を更に食べた回数
i=0 # l内を走査する際の添字
j=0 # m内を操作する際の添え字
for _ in range(K): # _番目に食べる寿司について
while i<N and l[i][1] in s:
m.append(l[i]) # そのままmに追加する
i+=1 # lの先頭の要素を削除せず,
if (i<N and (m and j<len(m)) and l[i][0]>=m[j][0]-(2*K-1-2*t)) or (not m or j>=len(m)):
ans+=l[i][0]
s.add(l[i][1])
i+=1
else:
ans+=m[j][0]-(2*K-1-2*t)
j+=1
t+=1
print(ans)
``` | output | 1 | 42,705 | 9 | 85,411 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,706 | 9 | 85,412 |
"Correct Solution:
```
import heapq
from operator import itemgetter
n, k = map(int, input().split())
sushi = [tuple(map(int, input().split())) for _ in range(n)]
sushi.sort(key=itemgetter(1), reverse=True)
que = []
kind = set()
res = 0
for t, d in sushi[:k]:
if t in kind:
heapq.heappush(que, d)
else:
kind.add(t)
res += d
res += len(kind)**2
val = res
for t, d in sushi[k:]:
if not que:
break
if t in kind:
continue
val += -heapq.heappop(que) + d + len(kind)*2 + 1
kind.add(t)
res = max(res, val)
print(res)
``` | output | 1 | 42,706 | 9 | 85,413 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,707 | 9 | 85,414 |
"Correct Solution:
```
import heapq as h;I=lambda:list(map(int,input().split()));n,k=I();z=[i*2+1for i in range(n)];s=sorted([I()for _ in[0]*n],key=lambda x:-x[1]);q=[];v=A=0;l=[0]*-~n
for a,b in s[:k]:
if l[a]:h.heappush(q,b)
else:A+=z[v];v+=1
l[a]=1;A+=b
T=A
for a,b in s[k:]:
if l[a]^1and q:l[a]=1;T+=b+z[v]-h.heappop(q);v+=1;A=max(A,T)
print(A)
``` | output | 1 | 42,707 | 9 | 85,415 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,708 | 9 | 85,416 |
"Correct Solution:
```
N, K = map(int, input().split())
td = [list(map(int, input().split()))
for _ in range(N)]
td.sort(key=lambda x: -x[1])
q = []
v = set()
sd = 0
for t, d in td[:K]:
sd += d
if t in v:
q.append(d)
v.add(t)
ans = len(v) ** 2 + sd
for t, d in td[K:]:
if 0 >= len(q):
break
if t in v:
continue
v.add(t)
md = q.pop()
sd = sd - md + d
tans = len(v) ** 2 + sd
ans = max(ans, tans)
print(ans)
``` | output | 1 | 42,708 | 9 | 85,417 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,709 | 9 | 85,418 |
"Correct Solution:
```
N, K = map(int, input().split())
menu_ = []
for i in range(N):
t, d = map(int, input().split())
menu_.append((t, d))
menu = sorted(menu_, key = lambda x:x[1], reverse=True)
neta = set()
duplicates = []
for m in menu[:K]:
if m[0] in neta:
duplicates.append(m[1])
else:
neta.add(m[0])
p = sum([d for (t, d) in menu[:K]]) + len(neta)**2
ans = p
for m in menu[K:]:
if m[0] not in neta and duplicates:
neta.add(m[0])
duplicate = duplicates.pop()
p += (m[1] - duplicate) + 2 * len(neta) - 1
#print(ans, p)
ans = max(ans, p)
print(ans)
``` | output | 1 | 42,709 | 9 | 85,419 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,710 | 9 | 85,420 |
"Correct Solution:
```
n,k=map(int,input().split())
TD=[]
for i in range(n):
t,d=map(int,input().split())
TD.append([t,d])
TD.sort(key=lambda x:x[1],reverse=True)
V=set()
S=[]
ans=0
for t,d in TD[:k]:
ans+=d
if t in V:
S.append(d)
else:
V.add(t)
ans+=len(V)**2
x=ans
for t,d in TD[k:]:
if S==[]:
break
if not t in V:
x=x-S.pop()+d-len(V)**2+(len(V)+1)**2
V.add(t)
ans=max(x,ans)
print(ans)
``` | output | 1 | 42,710 | 9 | 85,421 |
Provide a correct Python 3 solution for this coding contest problem.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016 | instruction | 0 | 42,711 | 9 | 85,422 |
"Correct Solution:
```
n,k=[int(x) for x in input().split()]
A=[]
for i in range(n):
a,b=[int(x) for x in input().split()]
A.append([b,a,True])
A.sort(reverse=True)
typ=set()
for i in range(n):
if A[i][1] in typ:
A[i][2]=False
else:
typ.add(A[i][1])
num=0
for j in range(k):
if A[j][2]==True:
#print(j)
num+=1
ans=0
for i in range(k):
ans+=A[i][0]
ans+=num**2
curr=ans
nxt = k
lst = k-1
while(True):
while(nxt < n and A[nxt][2] == False):
nxt += 1
while(lst >= 0 and A[lst][2] == True):
lst -= 1
if not(nxt < n and lst >= 0):
break
curr += A[nxt][0] - A[lst][0]
curr += (num+1) ** 2 - num**2
num+=1
nxt+= 1
lst -= 1
ans=max(ans,curr)
print(ans)
``` | output | 1 | 42,711 | 9 | 85,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
n,k=map(int, input().split())
a=sorted([list(map(int, input().split())) for i in range(n)], key=lambda x:-x[1])
q=[]
ans=0
s=set()
for i in range(k):
ans+=a[i][1]
if a[i][0] in s:
q.append(a[i][1])
s.add(a[i][0])
ans+=len(s)**2
k1=k
ans1=ans
while k1<n and q:
if a[k1][0] not in s:
ans1=ans1+a[k1][1]-q.pop()-len(s)**2+(len(s)+1)**2
ans=max(ans,ans1)
s.add(a[k1][0])
k1+=1
print(ans)
``` | instruction | 0 | 42,712 | 9 | 85,424 |
Yes | output | 1 | 42,712 | 9 | 85,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
n, k = map(int, input().split())
td = sorted([list(map(int, input().split())) for i in range(n)], reverse=True, key=lambda x: x[1])
type = set()
L = []
Sum = 0
for x in td[:k]:
Sum += x[1]
if x[0] not in type:
type.add(x[0])
else:
L.append(x[1])
L = L[::-1]
type_cnt = len(type)
ans = Sum + type_cnt ** 2
for x in td[k:]:
if len(L)==0:break
if x[0] not in type:
type.add(x[0])
type_cnt += 1
Sum = Sum - L.pop(0) + x[1]
ans = max(ans, Sum + type_cnt ** 2)
print(ans)
``` | instruction | 0 | 42,713 | 9 | 85,426 |
Yes | output | 1 | 42,713 | 9 | 85,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
from heapq import heappush, heappop
N, K = map(int, input().split())
t, d = (
zip(*(map(int, input().split()) for _ in range(N))) if N else
((), ())
)
# おいしさについて貪欲に寿司を食べたときの満足ポイントを求める
# その後、種類ボーナスを1個ずつ増やしたときの満足ポイントをそれぞれ求め、
# それらの最大値を求める
S = sorted(zip(d, t), reverse=True)
q = []
v = set()
s = 0
for D, T in S[:K]:
s += D
if T in v:
heappush(q, D)
else:
v.add(T)
s += len(v)**2
opt = s
for D, T in S[K:]:
if T not in v and q:
z = heappop(q)
s += D + 2 * len(v) + 1 - z
v.add(T)
opt = max(opt, s)
ans = opt
print(ans)
``` | instruction | 0 | 42,714 | 9 | 85,428 |
Yes | output | 1 | 42,714 | 9 | 85,429 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
import heapq
N,K=map(int,input().split())
L=[]
for _ in range(N):
(t,d)=map(int,input().split())
heapq.heappush(L,(-d,t))
LL=[]
sum=0
used=set()
for i in range(K):
d,t=heapq.heappop(L)
if t in used:
heapq.heappush(LL,(-d,t))
used.add(t)
sum+=-d
ans=len(used)**2+sum
while L and LL:
d,t=heapq.heappop(L)
if t not in used:
used.add(t)
dd,_=heapq.heappop(LL)
sum=sum-dd+(-d)
ans=max(ans,len(used)**2+sum)
print(ans)
``` | instruction | 0 | 42,715 | 9 | 85,430 |
Yes | output | 1 | 42,715 | 9 | 85,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
from collections import Counter
n,k = map(int,input().split())
td = [list(map(int,input().split())) for i in range(n)]
td.sort(key = lambda x:x[1],reverse=True)
ans = list(range(k))
ansv = sum((td[i][1] for i in range(k)))
c = Counter((td[i][0] for i in range(k)))
cnt = len(c)
ansv += len(c)**2
ptr = k
ansls = [ansv]
for i in range(k-1,-1,-1):
t,d = td[ans[i]]
if ptr < n and c[t] > 1:
while ptr < n and c[td[ptr][0]] >= 1:
ptr += 1
ansv = ansv-d+2*cnt+1+td[ptr][1]
c[t] -= 1
c[td[ptr][0]] += 1
cnt += 1
ptr += 1
ansls.append(ansv)
print(max(ansls))
``` | instruction | 0 | 42,716 | 9 | 85,432 |
No | output | 1 | 42,716 | 9 | 85,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
import sys
input = sys.stdin.buffer.readline
n, k = map(int, input().split())
sushi = []
top = {}
for i in range(n):
t, d = map(int, input().split())
sushi.append((d, t))
if t not in top:
top[t] = d
else:
top[t] = max(top[t], d)
sushi.sort()
fixed = {}
ate = []
for i in range(k):
d, t = sushi.pop()
if t not in fixed:
fixed[t] = d
else:
ate.append(d)
ate.sort(reverse=True)
score = sum(fixed.values()) + sum(ate) + len(fixed) * len(fixed)
remain = sorted([(d, t) for t, d in top.items() if t not in fixed])
while remain and ate:
d, t = remain.pop()
fixed[t] = d
ate.pop()
s = sum(fixed.values()) + sum(ate) + len(fixed) * len(fixed)
score = max(score, s)
print(score)
``` | instruction | 0 | 42,717 | 9 | 85,434 |
No | output | 1 | 42,717 | 9 | 85,435 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
import heapq
n, k = map(int, input().split())
sushi = []
for i in range(n):
t, d = map(int, input().split())
sushi.append((d, t))
sushi.sort(reverse=True)
ans = 0
num_d = 0
num_t = dict()
for i in range(k):
d, t = sushi[i]
num_d += d
if not t in num_t:
num_t[t] = 1
else:
num_t[t] += 1
ans = max(ans, num_d + len(num_t) ** 2)
s = sushi[:k]
heapq.heapify(s)
ns = [(-x, x, y) for x, y in sushi[k:]]
heapq.heapify(ns)
for i in range(k - 1):
if all([i == 1 for i in num_t.values()]):
break
for j in range(k - 1):
d, t = heapq.heappop(s)
if num_t[t] > 1:
for l in range(n - k):
dnm, dn, tn = heapq.heappop(ns)
if not tn in num_t:
num_t[t] -= 1
num_d -= d
num_t[tn] = 1
num_d += dn
break
break
else:
heapq.heappush(s, (d, t))
ans = max(ans, num_d + len(num_t) ** 2)
print(ans)
``` | instruction | 0 | 42,718 | 9 | 85,436 |
No | output | 1 | 42,718 | 9 | 85,437 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N pieces of sushi. Each piece has two parameters: "kind of topping" t_i and "deliciousness" d_i. You are choosing K among these N pieces to eat. Your "satisfaction" here will be calculated as follows:
* The satisfaction is the sum of the "base total deliciousness" and the "variety bonus".
* The base total deliciousness is the sum of the deliciousness of the pieces you eat.
* The variety bonus is x*x, where x is the number of different kinds of toppings of the pieces you eat.
You want to have as much satisfaction as possible. Find this maximum satisfaction.
Constraints
* 1 \leq K \leq N \leq 10^5
* 1 \leq t_i \leq N
* 1 \leq d_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
t_1 d_1
t_2 d_2
.
.
.
t_N d_N
Output
Print the maximum satisfaction that you can obtain.
Examples
Input
5 3
1 9
1 7
2 6
2 5
3 1
Output
26
Input
7 4
1 1
2 1
3 1
4 6
4 5
4 5
4 5
Output
25
Input
6 5
5 1000000000
2 990000000
3 980000000
6 970000000
6 960000000
4 950000000
Output
4900000016
Submitted Solution:
```
import heapq
n,k=map(int,input().split())
data=[]
for i in range(n):
t,d=map(int,input().split())
data.append((-d,t))
data=sorted(data)
neta=set()
que1=[]
que2=[]
p,x=0,0
for i in range(k):
if data[i][1] in neta:
heapq.heappush(que1,data[i])
x-=data[i][0]
else:
x-=data[i][0]
p+=1
neta.add(data[i][1])
for i in range(k,n):
if data[i][1]in neta:
pass
else:
heapq.heappush(que2,data[i])
mx=x+p*p
while que1:
a=heapq.heappop(que1)
b=None
while que2:
b=heapq.heappop(que2)
if b[1] not in neta:
break
b=None
if b==None:
break
x=x+a[0]-b[0]
p+=1
neta.add(b[1])
mx=max(mx,x+p*p)
print(mx)
``` | instruction | 0 | 42,719 | 9 | 85,438 |
No | output | 1 | 42,719 | 9 | 85,439 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
At the JOI pasta shop, the recommended pasta for lunch and the set menu of freshly squeezed juice are popular. When ordering this set menu, choose one from each of the three pasta and two juices of the day. The price is the total price of pasta and juice minus 50 yen.
Given the price of pasta and juice for a day, create a program to find the minimum price for the set menu for that day.
output
Output the minimum price of the set menu for the day in one line.
Example
Input
800
700
900
198
330
Output
848
Submitted Solution:
```
N=10000
M=10000
for i in range(3):
N=min(N,int(input()))
for i in range(2):
M=min(M,int(input()))
print(N+M-50)
``` | instruction | 0 | 42,839 | 9 | 85,678 |
Yes | output | 1 | 42,839 | 9 | 85,679 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
problem
At the JOI pasta shop, the recommended pasta for lunch and the set menu of freshly squeezed juice are popular. When ordering this set menu, choose one from each of the three pasta and two juices of the day. The price is the total price of pasta and juice minus 50 yen.
Given the price of pasta and juice for a day, create a program to find the minimum price for the set menu for that day.
output
Output the minimum price of the set menu for the day in one line.
Example
Input
800
700
900
198
330
Output
848
Submitted Solution:
```
a=[]
b=[]
for i in range(3):
a.append(int(input()))
a.sort()
for j in range(3,5):
b.append(int(input()))
b.sort()
print(a[0]+b[0]-50)
``` | instruction | 0 | 42,842 | 9 | 85,684 |
Yes | output | 1 | 42,842 | 9 | 85,685 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,092 | 9 | 88,184 |
Tags: implementation, math
Correct Solution:
```
n = int(input())
a = [int(x) for x in input().split()]
print('{:.12f}'.format(sum(a)/n))
``` | output | 1 | 44,092 | 9 | 88,185 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,093 | 9 | 88,186 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
l=[int(x) for x in input().rstrip().split(' ')]
x=0
for i in range(n):
x=x+(l[i]/100)
x=(x/n)*100
print('%.12f'%x)
``` | output | 1 | 44,093 | 9 | 88,187 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,094 | 9 | 88,188 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
x=list(map(int,input().split()))
tp=0
for i in x:
tp+=i/100
tot=(tp/n)*100
print('%.10f'%tot)
``` | output | 1 | 44,094 | 9 | 88,189 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,095 | 9 | 88,190 |
Tags: implementation, math
Correct Solution:
```
a = int(input())
l = list(map(int, input().split()))
print(round(sum(l) / a, 6))
``` | output | 1 | 44,095 | 9 | 88,191 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,096 | 9 | 88,192 |
Tags: implementation, math
Correct Solution:
```
n = int(input())
li = list(map(int, input().split()))
avg = sum(li) / (len(li) * 100)
print('{0:.12f}'.format(round(avg * 100, 12)))
``` | output | 1 | 44,096 | 9 | 88,193 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,097 | 9 | 88,194 |
Tags: implementation, math
Correct Solution:
```
n=input()
n=int(n)
a=input().split()
s=0
for i in range (0,n):
s=s+int(a[i])
print(format(s/n,'.5f'))
``` | output | 1 | 44,097 | 9 | 88,195 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,098 | 9 | 88,196 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
a=[int(x) for x in input().split()]
print(sum(a)/n)
``` | output | 1 | 44,098 | 9 | 88,197 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent. | instruction | 0 | 44,099 | 9 | 88,198 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
arr=list(map(int,input().split()))
s=sum(arr)
print(s/n)
``` | output | 1 | 44,099 | 9 | 88,199 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are n drinks in his fridge, the volume fraction of orange juice in the i-th drink equals pi percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the n drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input
The first input line contains a single integer n (1 ≤ n ≤ 100) — the number of orange-containing drinks in Vasya's fridge. The second line contains n integers pi (0 ≤ pi ≤ 100) — the volume fraction of orange juice in the i-th drink, in percent. The numbers are separated by a space.
Output
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10 - 4.
Examples
Input
3
50 50 100
Output
66.666666666667
Input
4
0 25 50 75
Output
37.500000000000
Note
Note to the first sample: let's assume that Vasya takes x milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <image> milliliters. The total cocktail's volume equals 3·x milliliters, so the volume fraction of the juice in the cocktail equals <image>, that is, 66.(6) percent.
Submitted Solution:
```
n = int(input())
per = list(map(int, input().rstrip().split()))
print(sum(per) / n)
``` | instruction | 0 | 44,100 | 9 | 88,200 |
Yes | output | 1 | 44,100 | 9 | 88,201 |
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