Buggy python submission (verdict: Time Limit Exceeded):
def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[0 for _ in range(N)] for _ in range(N)]
    for length in range(1, N + 1):
        for left in range(N - length + 1):
            right = left + length - 1
            val = 0
            if left == right:
                val = A[left]
            else:
                val = max([
                    A[left] - dp[left + 1][right],
                    A[right] - dp[left][right - 1]
                ])
            dp[left][right] = val
    print(dp[0][N - 1])


if __name__ == '__main__':
    main()

Fixed submission:
def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[0 for _ in range(N)] for _ in range(N)]
    for length in range(1, N + 1):
        for left in range(N - length + 1):
            right = left + length - 1
            val = 0
            if left == right:
                val = A[left]
            else:
                val = max([
                    A[left] - dp[left + 1][right],
                    A[right] - dp[left][right - 1]
                ])
            dp[left][right] = val
    print(dp[0][N - 1])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys

sys.setrecursionlimit(10 ** 6)


def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[None for _ in range(N)] for _ in range(N)]

    def rec(sign, left, right):
        ret = dp[left][right]
        if ret is not None:
            return ret
        if left == right:
            val = sign * A[left]
            dp[left][right] = val
            return val
        score_left = sign * A[left] + rec(- sign, left + 1, right)
        score_right = sign * A[right] + rec(- sign, left, right - 1)
        score = max([score_left, score_right]) if sign == 1 else min([score_left, score_right])
        dp[left][right] = score
        return score

    print(rec(1, 0, N - 1))


if __name__ == '__main__':
    main()


Fixed submission:
def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[0 for _ in range(N)] for _ in range(N)]
    for length in range(1, N + 1):
        for left in range(N - length + 1):
            right = left + length - 1
            val = 0
            if left == right:
                val = A[left]
            else:
                val = max([
                    A[left] - dp[left + 1][right],
                    A[right] - dp[left][right - 1]
                ])
            dp[left][right] = val
    print(dp[0][N - 1])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[None for _ in range(N)] for _ in range(N)]

    def rec(sign, left, right):
        ret = dp[left][right]
        if ret is not None:
            return ret
        if left == right:
            val = sign * A[left]
            dp[left][right] = val
            return val
        score_left = sign * A[left] + rec(- sign, left + 1, right)
        score_right = sign * A[right] + rec(- sign, left, right - 1)
        score = max([score_left, score_right]) if sign == 1 else min([score_left, score_right])
        dp[left][right] = score
        return score

    print(rec(1, 0, N - 1))


if __name__ == '__main__':
    main()

Fixed submission:
def main():
    N = int(input())
    A = list(map(int, input().split(' ')))
    dp = [[0 for _ in range(N)] for _ in range(N)]
    for length in range(1, N + 1):
        for left in range(N - length + 1):
            right = left + length - 1
            val = 0
            if left == right:
                val = A[left]
            else:
                val = max([
                    A[left] - dp[left + 1][right],
                    A[right] - dp[left][right - 1]
                ])
            dp[left][right] = val
    print(dp[0][N - 1])


if __name__ == '__main__':
    main()