text stringlengths 216 39.6k | conversation_id int64 219 108k | embedding sequence | cluster int64 11 11 |
|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Input
The first line of the input contains a single integer N (1 ≤ N ≤ 24). The next N lines contain 5 space-separated integers each. The first three integers will be between 0 and 2, inclusive. The last two integers will be between 0 and 3, inclusive. The sum of the first three integers will be equal to the sum of the last two integers.
Output
Output the result – a string of lowercase English letters.
Examples
Input
1
1 0 0 1 0
Output
a
Input
10
2 0 0 1 1
1 1 1 2 1
2 1 0 1 2
1 1 0 1 1
2 1 0 2 1
1 1 1 2 1
1 2 1 3 1
2 0 0 1 1
1 1 0 1 1
1 1 2 2 2
Output
codeforcez
Submitted Solution:
```
n = int(input())
out = ""
for i in range (0,n):
input()
out+='a'
if (n==1):
print('a')
else:
print('codeforcez')
```
No
| 219 | [
0.4619140625,
-0.037445068359375,
0.039276123046875,
0.020660400390625,
-0.779296875,
-0.70068359375,
0.12890625,
0.1429443359375,
-0.1829833984375,
0.796875,
0.55859375,
0.0616455078125,
-0.053314208984375,
-0.806640625,
-0.64208984375,
-0.0916748046875,
-0.6953125,
-0.66796875,
... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Alexandra has a paper strip with n numbers on it. Let's call them ai from left to right.
Now Alexandra wants to split it into some pieces (possibly 1). For each piece of strip, it must satisfy:
* Each piece should contain at least l numbers.
* The difference between the maximal and the minimal number on the piece should be at most s.
Please help Alexandra to find the minimal number of pieces meeting the condition above.
Input
The first line contains three space-separated integers n, s, l (1 ≤ n ≤ 105, 0 ≤ s ≤ 109, 1 ≤ l ≤ 105).
The second line contains n integers ai separated by spaces ( - 109 ≤ ai ≤ 109).
Output
Output the minimal number of strip pieces.
If there are no ways to split the strip, output -1.
Examples
Input
7 2 2
1 3 1 2 4 1 2
Output
3
Input
7 2 2
1 100 1 100 1 100 1
Output
-1
Note
For the first sample, we can split the strip into 3 pieces: [1, 3, 1], [2, 4], [1, 2].
For the second sample, we can't let 1 and 100 be on the same piece, so no solution exists.
Submitted Solution:
```
n,s,l = [int(s) for s in input().split()]
a = [int(s) for s in input().split()]
pieces = []
m = 0
i = 1
tmpmin = a[0]
tmpmax = a[0]
tmppc = [a[0]]
while i<n:
if abs(a[i]-tmpmin)<=s and abs(a[i]-tmpmax)<=s:
tmppc.append(a[i])
if a[i]<tmpmin: tmpmin=a[i]
elif a[i]>tmpmax: tmpmax = a[i]
else:
pieces.append(tmppc)
tmppc = [a[i]]
tmpmin = a[i]
tmpmax = a[i]
i += 1
pieces.append(tmppc)
fail = False
for j in range(len(pieces)):
if len(pieces[j])<l:
if j>0:
prevpc = pieces[j-1]
minj = min(pieces[j])
maxj = max(pieces[j])
while len(pieces[j])<l:
tmp = prevpc.pop()
if abs(tmp-minj)<=s and abs(tmp-maxj)<=s:
pieces[j].insert(0,tmp)
else:
fail = True
break
if len(prevpc)<l:
fail = True
break
else:
fail = True
break
if not fail:
print(len(pieces))
else:
print(-1)
```
No
| 376 | [
0.5439453125,
0.380859375,
-0.126953125,
0.21630859375,
-0.701171875,
-0.6630859375,
-0.031707763671875,
0.21923828125,
0.1048583984375,
0.80615234375,
0.49365234375,
0.0140228271484375,
-0.207275390625,
-0.66162109375,
-0.595703125,
0.1983642578125,
-0.480712890625,
-0.9873046875,... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Alexandra has a paper strip with n numbers on it. Let's call them ai from left to right.
Now Alexandra wants to split it into some pieces (possibly 1). For each piece of strip, it must satisfy:
* Each piece should contain at least l numbers.
* The difference between the maximal and the minimal number on the piece should be at most s.
Please help Alexandra to find the minimal number of pieces meeting the condition above.
Input
The first line contains three space-separated integers n, s, l (1 ≤ n ≤ 105, 0 ≤ s ≤ 109, 1 ≤ l ≤ 105).
The second line contains n integers ai separated by spaces ( - 109 ≤ ai ≤ 109).
Output
Output the minimal number of strip pieces.
If there are no ways to split the strip, output -1.
Examples
Input
7 2 2
1 3 1 2 4 1 2
Output
3
Input
7 2 2
1 100 1 100 1 100 1
Output
-1
Note
For the first sample, we can split the strip into 3 pieces: [1, 3, 1], [2, 4], [1, 2].
For the second sample, we can't let 1 and 100 be on the same piece, so no solution exists.
Submitted Solution:
```
n,s,l = [int(s) for s in input().split()]
a = [int(s) for s in input().split()]
pieces = []
m = 0
i = 1
tmpmin = a[0]
tmpmax = a[0]
tmppc = [a[0]]
while i<n:
if abs(a[i]-tmpmin)<=s and abs(a[i]-tmpmax)<=s:
tmppc.append(a[i])
if a[i]<tmpmin: tmpmin=a[i]
elif a[i]>tmpmax: tmpmax = a[i]
else:
pieces.append(tmppc)
tmppc = [a[i]]
tmpmin = a[i]
tmpmax = a[i]
i += 1
pieces.append(tmppc)
fail = False
for j in range(len(pieces)):
if len(pieces[j])<l:
if j>0:
prevpc = pieces[j-1]
minj = min(pieces[j])
maxj = max(pieces[j])
while len(pieces[j])<l:
tmp = prevpc.pop()
if abs(tmp-minj)<=s and abs(tmp-maxj)<=s:
pieces[j].append(tmp)
else:
fail = True
break
if len(prevpc)<l:
fail = True
break
else:
fail = True
break
if not fail:
print(len(pieces))
else:
print(-1)
```
No
| 377 | [
0.5439453125,
0.380859375,
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0.21630859375,
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0.21923828125,
0.1048583984375,
0.80615234375,
0.49365234375,
0.0140228271484375,
-0.207275390625,
-0.66162109375,
-0.595703125,
0.1983642578125,
-0.480712890625,
-0.9873046875,... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
n, p = map(int, input().split())
a = list(map(int, input().split()))
t = 0
k = 0
for i in range(n):
k += a[i]
s = 0
for i in range(0, n-1):
s += a[i]
t = max(t, s%p + (k - s)%p)
print(t)
```
Yes
| 534 | [
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0.444091796875,
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0.13818359375,
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0.29248046875,
-0.44677734375,
-0.716796875,
... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
#Mamma don't raises quitter.................................................
from collections import deque as de
import math
import re
from collections import Counter as cnt
from functools import reduce
from typing import MutableMapping
from itertools import groupby as gb
from fractions import Fraction as fr
from bisect import bisect_left as bl, bisect_right as br
def factors(n):
return set(reduce(list.__add__,
([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))
class My_stack():
def __init__(self):
self.data = []
def my_push(self, x):
return (self.data.append(x))
def my_pop(self):
return (self.data.pop())
def my_peak(self):
return (self.data[-1])
def my_contains(self, x):
return (self.data.count(x))
def my_show_all(self):
return (self.data)
def isEmpty(self):
return len(self.data)==0
arrStack = My_stack()
#decimal to binary
def decimalToBinary(n):
return bin(n).replace("0b", "")
#binary to decimal
def binarytodecimal(n):
return int(n,2)
def isPrime(n) :
if (n <= 1) :
return False
if (n <= 3) :
return True
if (n % 2 == 0 or n % 3 == 0) :
return False
i = 5
while(i * i <= n) :
if (n % i == 0 or n % (i + 2) == 0) :
return False
i = i + 6
return True
def get_prime_factors(number):
prime_factors = []
while number % 2 == 0:
prime_factors.append(2)
number = number / 2
for i in range(3, int(math.sqrt(number)) + 1, 2):
while number % i == 0:
prime_factors.append(int(i))
number = number / i
if number > 2:
prime_factors.append(int(number))
return prime_factors
def get_frequency(list):
dic={}
for ele in list:
if ele in dic:
dic[ele] += 1
else:
dic[ele] = 1
return dic
def Log2(x):
return (math.log10(x) /
math.log10(2));
# Function to get product of digits
def getProduct(n):
product = 1
while (n != 0):
product = product * (n % 10)
n = n // 10
return product
# function to count consecutive duplicate element in an array
def dupconscount(nums):
element = []
freque = []
if not nums:
return element
running_count = 1
for i in range(len(nums)-1):
if nums[i] == nums[i+1]:
running_count += 1
else:
freque.append(running_count)
element.append(nums[i])
running_count = 1
freque.append(running_count)
element.append(nums[i+1])
return element,freque
def isPowerOfTwo(n):
return (math.ceil(Log2(n)) == math.floor(Log2(n)));
#ceil function gives wrong answer after 10^17 so i have to create my own :)
# because i don't want to doubt on my solution of 900-1000 problem set.
def ceildiv(x,y):
return (x+y-1)//y
def di():return map(int, input().split())
def ii():return int(input())
def li():return list(map(int, input().split()))
def si():return list(map(str, input()))
def indic():
dic = {}
for index, value in enumerate(input().split()):
dic[int(index)+1] = int(value)
return dic
#Here we go......................
#concentration and mental toughness are margins of victory
n,p=di()
a=li()
fir=a[0]
sec=sum(a)-fir
ans=(fir%p)+(sec%p)
for i in range(1,n):
fir+=a[i]
sec-=a[i]
temp=(fir%p)+(sec%p)
if temp >ans:
ans=temp
print(ans)
```
Yes
| 535 | [
0.3251953125,
0.1561279296875,
0.09234619140625,
0.225830078125,
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0.5419921875,
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0.7763671875,
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0.12139892578125,
-0.52099609375,
-0.312744140625,
0.27783203125,
-0.392822265625,
-0.68798828... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
n, p = map(int, input().split())
a = list(map(int, input().split()))
a = [c % p for c in a]
s = sum(a)
sp = s % p
if sp == s or sp + 1 == p:
print(sp)
else:
print(sp + p)
```
Yes
| 536 | [
0.2476806640625,
0.2083740234375,
0.143798828125,
0.09210205078125,
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-0.25,
0.288818359375,
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-0.7041015625,
... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
n, p = [int(i) for i in input().split()]
a = [int(i) for i in input().split()]
s1, s2 = a[0], sum(a) - a[0]
ans = s1 % p + s2 % p
for i in range(n - 1):
s1 = (s1 + a[i]) % p
s2 = (s2 - a[i]) % p
ans = max(ans, s1 + s2)
print(ans)
```
Yes
| 537 | [
0.255615234375,
0.198486328125,
0.1490478515625,
0.0933837890625,
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0.1041259765625,
-0.5166015625,
-0.27490234375,
0.292236328125,
-0.43115234375,
-0.71337890625... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
m,n=list(map(int,input().split()))
l=list(map(int,input().split()))
a=[0]*m
a[0],ma=l[0],0
for i in range(1,m):
a[i]=a[i-1]+l[i]
for i in range(m):
if(a[i]%n+(a[m-1]-a[i])%n)>ma:
ma=(a[i]%n+(a[m-1]-a[i])%n)
else:
break
print(ma)
```
No
| 538 | [
0.251220703125,
0.2032470703125,
0.13818359375,
0.10504150390625,
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0.4384765625,
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0.80908203125,
0.37255859375,
0.1004638671875,
0.12225341796875,
-0.51708984375,
-0.2462158203125,
0.2900390625,
-0.433349609375,
-0.72705... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
n, p = map(int, input().split())
v = [int(i) for i in input().split()]
v2 = [v[0]]
for i in range(0, n-1):
v2.append(v2[i]+v[i+1])
max = 0
for i in range(n):
if (v2[i]%p) + ((v2[n-1]-v2[i])%p) > max:
max = (v2[i]%p) + ((v2[n-1]-v2[i])%p)
print((v2[i]%p) + ((v2[n-1]-v2[i])%p))
# print(max)
# print(v2)
```
No
| 539 | [
0.2451171875,
0.1829833984375,
0.14111328125,
0.11151123046875,
-0.7900390625,
-0.89794921875,
-0.359130859375,
0.439453125,
-0.12890625,
0.80224609375,
0.377685546875,
0.0894775390625,
0.123291015625,
-0.50732421875,
-0.254638671875,
0.289794921875,
-0.433837890625,
-0.716796875,
... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
n,p=map(int,input().split())
arr=list(map(int,input().split()))
temp=arr[0];maxval=0;modval=0;li=0
for i in range(0,len(arr)):
if i<len(arr)-1:
temp=temp+arr[i+1]
modval=temp%p
if maxval<=modval:
maxval=modval
# print(maxval)
else:
li=i
break
# print("received max and i",maxval,li)
remainingval=sum(arr[li+1:len(arr)])
maxval=maxval+(remainingval%p)
print(maxval)
```
No
| 540 | [
0.25927734375,
0.1944580078125,
0.14111328125,
0.0958251953125,
-0.7978515625,
-0.89208984375,
-0.37109375,
0.427734375,
-0.13037109375,
0.81982421875,
0.353515625,
0.09100341796875,
0.1329345703125,
-0.51708984375,
-0.2403564453125,
0.2939453125,
-0.434326171875,
-0.72802734375,
... | 11 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rebel spy Heidi has just obtained the plans for the Death Star from the Empire and, now on her way to safety, she is trying to break the encryption of the plans (of course they are encrypted – the Empire may be evil, but it is not stupid!). The encryption has several levels of security, and here is how the first one looks.
Heidi is presented with a screen that shows her a sequence of integers A and a positive integer p. She knows that the encryption code is a single number S, which is defined as follows:
Define the score of X to be the sum of the elements of X modulo p.
Heidi is given a sequence A that consists of N integers, and also given an integer p. She needs to split A into 2 parts such that:
* Each part contains at least 1 element of A, and each part consists of contiguous elements of A.
* The two parts do not overlap.
* The total sum S of the scores of those two parts is maximized. This is the encryption code.
Output the sum S, which is the encryption code.
Input
The first line of the input contains two space-separated integer N and p (2 ≤ N ≤ 100 000, 2 ≤ p ≤ 10 000) – the number of elements in A, and the modulo for computing scores, respectively.
The second line contains N space-separated integers which are the elements of A. Each integer is from the interval [1, 1 000 000].
Output
Output the number S as described in the problem statement.
Examples
Input
4 10
3 4 7 2
Output
16
Input
10 12
16 3 24 13 9 8 7 5 12 12
Output
13
Note
In the first example, the score is maximized if the input sequence is split into two parts as (3, 4), (7, 2). It gives the total score of <image>.
In the second example, the score is maximized if the first part consists of the first three elements, and the second part consists of the rest. Then, the score is <image>.
Submitted Solution:
```
N,K,P = map(int,input().split())
A = list(map(int,input().split()))
A.insert(0,0)
S = [A[0]]
for i in range(1,N+1):S.append(S[i-1]+A[i])
dp = [[0]*(K+1) for i in range(N+1)]
for k in range(K+1):
for i in range(k,N+1):
if k==0:
dp[i][k]=S[i]%P
else:
for j in range(k,i):
dp[i][k]=max(dp[i][k],dp[j][k-1]+(S[i]-S[j])%P)
print(dp[N][K])
```
No
| 541 | [
0.2486572265625,
0.1947021484375,
0.1309814453125,
0.09735107421875,
-0.80029296875,
-0.88720703125,
-0.37939453125,
0.46484375,
-0.1427001953125,
0.81396484375,
0.372314453125,
0.1072998046875,
0.139892578125,
-0.5087890625,
-0.236083984375,
0.291259765625,
-0.4384765625,
-0.70996... | 11 |
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