Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
import copy

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score,a,b):
    if a+b < min(N,K):
        Vb = copy.copy(V)
        scoreA = copy.copy(score)
        scoreB=copy.copy(score)
        scoreA.append(V.popleft())
        A = search(N,K,V,scoreA,a+1,b)
        scoreB.append(Vb.pop())
        B = search(N,K,Vb,scoreB,a,b+1)
    score = sorted(score)
    counter = 0
    while(counter < K-a-b):
        if len(score)== 0:
            break;
        if score[0]<0:
            score.pop(0)
            counter +=1
        else:
            break;
    ans = sum(score)
    if a+b < min(N,K):
        return max(0,ans,A,B)
    else:
        return max(0,ans)

score = []
a = 0
b= 0
ans = search(N,K,V,score,a,b)
print(ans)

Fixed submission:
from collections import deque

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score):
    ans = 0
    for i in range(min(N,K)+1):
        for j in range(min(N,K)-i+1):
            score = []
            for a in range(i):#do operation A
                score.append(V[a])
            for b in range(j):#do operation B
                score.append(V[len(V)-b-1])
            score=sorted(score)
            counter = 0

            while(counter < K-i-j):#do operation C,D
                if len(score)== 0:
                    break;
                if score[0]<0:
                    score.pop(0)
                    counter +=1
                else:
                    break;   
            ans = max(ans,sum(score))

    return ans

score = []
ans = search(N,K,V,score)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
import copy

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score,a,b):
    if a+b < min(N,K):
        Vb = copy.copy(V)
        scoreA = copy.copy(score)
        scoreB=copy.copy(score)
        scoreA.append(V.popleft())
        A = search(N,K,V,scoreA,a+1,b)
        scoreB.append(Vb.pop())
        B = search(N,K,Vb,scoreB,a,b+1)
    score=sorted(score)
    counter = 0
    while(counter < K-a-b):
        if len(score)== 0:
            break;
        if score[0]<0:
            score.pop(0)
            counter +=1
        else:
            break;
    ans = sum(score)
    if a+b < min(N,K):
        return max(0,ans,A,B)
    else:
        return max(0,ans)

score = []
a = 0
b= 0
ans = search(N,K,V,score,a,b)
print(ans)

Fixed submission:
from collections import deque

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score):
    ans = 0
    for i in range(min(N,K)+1):
        for j in range(min(N,K)-i+1):
            score = []
            for a in range(i):#do operation A
                score.append(V[a])
            for b in range(j):#do operation B
                score.append(V[len(V)-b-1])
            score=sorted(score)
            counter = 0

            while(counter < K-i-j):#do operation C,D
                if len(score)== 0:
                    break;
                if score[0]<0:
                    score.pop(0)
                    counter +=1
                else:
                    break;   
            ans = max(ans,sum(score))

    return ans

score = []
ans = search(N,K,V,score)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
import copy

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score,a,b):
    if a+b < min(N,K):
        Vb = copy.copy(V)
        Va = copy.copy(V)
        scoreA = copy.copy(score)
        scoreB=copy.copy(score)
        scoreA.append(Va.popleft())
        A = search(N,K,Va,scoreA,a+1,b)
        scoreB.append(Vb.pop())
        B = search(N,K,Vb,scoreB,a,b+1)
    score=sorted(score)
    counter = 0
    while(counter < K-a-b):
        if len(score)== 0:
            break;
        if score[0]<0:
            score.pop(0)
            counter +=1
        else:
            break;
    ans = sum(score)
    if a+b < min(N,K):
        return max(0,ans,A,B)
    else:
        return max(0,ans)

score = []
a = 0
b= 0
ans = search(N,K,V,score,a,b)
print(ans)

Fixed submission:
from collections import deque

N,K = map(int,input().split(" "))

V = deque(map(int,input().split(" ")))

def search(N,K,V,score):
    ans = 0
    for i in range(min(N,K)+1):
        for j in range(min(N,K)-i+1):
            score = []
            for a in range(i):#do operation A
                score.append(V[a])
            for b in range(j):#do operation B
                score.append(V[len(V)-b-1])
            score=sorted(score)
            counter = 0

            while(counter < K-i-j):#do operation C,D
                if len(score)== 0:
                    break;
                if score[0]<0:
                    score.pop(0)
                    counter +=1
                else:
                    break;   
            ans = max(ans,sum(score))

    return ans

score = []
ans = search(N,K,V,score)
print(ans)