Buggy python submission (verdict: Runtime Error):
n = int(input())
A = [int(_) for _ in input().split()]

# dp = [[0 for i in range((n//2)+1)] for j in range(n)]

dp = [[0, 0] for j in range(n)]
M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

# for i in range(4, n):
#     for j in range(max(0, i // 2 - 1), (i + 2) // 2):
#         # print(i, j)
#         if i % 2 == 0 and j == (i + 2) // 2 - 1 :
#             dp[i][j] = dp[i-2][j-1] + A[i]
#         else:
            # dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

for i in range(4, n):
    for j in range(2):
        # print(i, j)
        if i % 2 == 0 and j == 1:
            dp[i][j] = dp[i-2][1] + A[i]
        elif i % 2 == 0 and j == 0:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][1])
        elif i % 2 == 1 and j == 1:
            dp[i][j] = max(dp[i-2][1] + A[i], dp[i-1][1])
        else:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][0])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][(n+1)%2])

Fixed submission:
import sys

n = int(input())
A = [int(_) for _ in input().split()]

# dp = [[0 for i in range((n//2)+1)] for j in range(n)]

if n == 1 or n == 2 or n == 3:
    print(max(A))
    sys.exit()

dp = [[0, 0] for j in range(n)]
M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

# for i in range(4, n):
#     for j in range(max(0, i // 2 - 1), (i + 2) // 2):
#         # print(i, j)
#         if i % 2 == 0 and j == (i + 2) // 2 - 1 :
#             dp[i][j] = dp[i-2][j-1] + A[i]
#         else:
            # dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

for i in range(4, n):
    for j in range(2):
        # print(i, j)
        if i % 2 == 0 and j == 1:
            dp[i][j] = dp[i-2][1] + A[i]
        elif i % 2 == 0 and j == 0:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][1])
        elif i % 2 == 1 and j == 1:
            dp[i][j] = max(dp[i-2][1] + A[i], dp[i-1][1])
        else:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][0])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][(n+1)%2])

Buggy python submission (verdict: Runtime Error):
n = int(input())
A = list(map(int, input().split()))

dp = [[0 for i in range((n//2)+1)] for j in range(n)]

M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

for i in range(4, n):
    for j in range(max(0, i // 2 - 1), (i + 2) // 2):
        # print(i, j)
        if i % 2 == 0 and j == (i + 2) // 2 - 1 :
            dp[i][j] = dp[i-2][j-1] + A[i]
        else:
            dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][-2])

Fixed submission:
import sys

n = int(input())
A = [int(_) for _ in input().split()]

# dp = [[0 for i in range((n//2)+1)] for j in range(n)]

if n == 1 or n == 2 or n == 3:
    print(max(A))
    sys.exit()

dp = [[0, 0] for j in range(n)]
M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

# for i in range(4, n):
#     for j in range(max(0, i // 2 - 1), (i + 2) // 2):
#         # print(i, j)
#         if i % 2 == 0 and j == (i + 2) // 2 - 1 :
#             dp[i][j] = dp[i-2][j-1] + A[i]
#         else:
            # dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

for i in range(4, n):
    for j in range(2):
        # print(i, j)
        if i % 2 == 0 and j == 1:
            dp[i][j] = dp[i-2][1] + A[i]
        elif i % 2 == 0 and j == 0:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][1])
        elif i % 2 == 1 and j == 1:
            dp[i][j] = max(dp[i-2][1] + A[i], dp[i-1][1])
        else:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][0])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][(n+1)%2])

Buggy python submission (verdict: Runtime Error):
n = int(input())
A = list(map(int, input().split()))

dp = [[0 for i in range((n//2)+1)] for j in range(n)]

M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

for i in range(4, n):
    for j in range(max(0, i // 2 - 1), (i + 2) // 2):
        # print(i, j)
        if i % 2 == 0:
            dp[i][j] = dp[i-2][j-1] + A[i]
        else:
            dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][n//2-1])

Fixed submission:
import sys

n = int(input())
A = [int(_) for _ in input().split()]

# dp = [[0 for i in range((n//2)+1)] for j in range(n)]

if n == 1 or n == 2 or n == 3:
    print(max(A))
    sys.exit()

dp = [[0, 0] for j in range(n)]
M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

# for i in range(4, n):
#     for j in range(max(0, i // 2 - 1), (i + 2) // 2):
#         # print(i, j)
#         if i % 2 == 0 and j == (i + 2) // 2 - 1 :
#             dp[i][j] = dp[i-2][j-1] + A[i]
#         else:
            # dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

for i in range(4, n):
    for j in range(2):
        # print(i, j)
        if i % 2 == 0 and j == 1:
            dp[i][j] = dp[i-2][1] + A[i]
        elif i % 2 == 0 and j == 0:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][1])
        elif i % 2 == 1 and j == 1:
            dp[i][j] = max(dp[i-2][1] + A[i], dp[i-1][1])
        else:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][0])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][(n+1)%2])

Buggy python submission (verdict: Runtime Error):
n = int(input())
A = list(map(int, input().split()))

dp = [[0 for i in range((n//2)+1)] for j in range(n)]

M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

for i in range(4, n):
    for j in range(max(0, i // 2 - 1), (i + 2) // 2):
        # print(i, j)
        if i % 2 == 0:
            dp[i][j] = dp[i-2][j-1] + A[i]
        else:
            dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][n//2-1])

Fixed submission:
import sys

n = int(input())
A = [int(_) for _ in input().split()]

# dp = [[0 for i in range((n//2)+1)] for j in range(n)]

if n == 1 or n == 2 or n == 3:
    print(max(A))
    sys.exit()

dp = [[0, 0] for j in range(n)]
M = - float('inf')
for i in range(4):
    M = max(M, A[i])
    dp[i][0] = M
dp[2][1] = dp[0][0] + A[2]
dp[3][1] = max(dp[1][0] + A[3], dp[2][1])


# for i in range(len(dp)):
#     print(dp[i])

# for i in range(4, n):
#     for j in range(max(0, i // 2 - 1), (i + 2) // 2):
#         # print(i, j)
#         if i % 2 == 0 and j == (i + 2) // 2 - 1 :
#             dp[i][j] = dp[i-2][j-1] + A[i]
#         else:
            # dp[i][j] = max(dp[i-2][j-1] + A[i], dp[i-1][j])

for i in range(4, n):
    for j in range(2):
        # print(i, j)
        if i % 2 == 0 and j == 1:
            dp[i][j] = dp[i-2][1] + A[i]
        elif i % 2 == 0 and j == 0:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][1])
        elif i % 2 == 1 and j == 1:
            dp[i][j] = max(dp[i-2][1] + A[i], dp[i-1][1])
        else:
            dp[i][j] = max(dp[i-2][0] + A[i], dp[i-1][0])

# for i in range(len(dp)):
#     print(dp[i])

print(dp[n-1][(n+1)%2])