Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
n = int(input())
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF)for _ in range(n+2)]
for i, a in enumerate(map(int, input().split()), 2):
    for j in range(1, -(-i//2)+1):
        if j-1 == 0:
            dp[i-2][j-1] = 0
        dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+a)

print(dp[n+1][m])


Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int, input().split()))

m = n//2
INF = 10**18
dp = [[-INF]*(m+1) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])


Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int, input().split()))

m = n//2
INF = 10**18
dp = [[-INF]*(m+1) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])



Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int, input().split()))

m = n//2
INF = 10**18
dp = [[-INF]*(m+1) for _ in range(n+1)]
for i in range(1, n+1):
    for j in range(i//2-1, (i+1)//2+1):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
            continue
        if 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])


Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [[-INF]*(m+1) for _ in range(n+1)]
for i in range(1, n+1):
    for j in range(1, m+1):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
            continue
        if 0 <= i-2:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])


Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int, input().split()))

m = n//2
INF = 10**18
dp = [[-INF]*(m+1) for _ in range(n+1)]
for i in range(1, n+1):
    for j in reversed(range(1, m+1)):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
            continue
        if 0 <= i-2:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])


Fixed submission:
from collections import defaultdict
n = int(input())
A = list(map(int, input().split()))
m = n//2
INF = 10**18
dp = [defaultdict(lambda: -INF) for _ in range(n+1)]
for i in range(1, n+1):
    L = i//2-1
    R = (i+1)//2+1
    for j in range(L, R):
        if j == 1:
            dp[i][j] = max(dp[i-1][j], A[i-1])
        elif 0 <= i-2 and 0 <= j <= m:
            dp[i][j] = max(dp[i-1][j], dp[i-2][j-1]+A[i-1])
print(dp[-1][m])