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

sys.setrecursionlimit(10 ** 6)
input = sys.stdin.readline
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")

def main():
    n = int(input())
    aa = list(map(int, input().split()))
    dp = [[0] * n for _ in range(n)]
    for i, a in enumerate(aa):
        dp[i][i] = a
    # p2D(dp)
    for d in range(1, n):
        for l in range(n - 1):
            r = l + d
            if r >= n: break
            s0 = aa[l] - dp[l + 1][r]
            s1 = aa[r] - dp[l][r - 1]
            dp[l][r] = s0 if s0 > s1 else s1
    # p2D(dp)
    print(dp[0][-1])

main()


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

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

sys.setrecursionlimit(10 ** 6)
input = sys.stdin.readline
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")

def main():
    n = int(input())
    aa = list(map(int, input().split()))
    dp = [[0] * n for _ in range(n)]
    for i, a in enumerate(aa):
        dp[i][i] = a
    # p2D(dp)
    for d in range(1, n):
        for l in range(n - 1):
            r = l + d
            if r >= n: break
            dp[l][r] = max(aa[l] - dp[l + 1][r], aa[r] - dp[l][r - 1])
    # p2D(dp)
    print(dp[0][-1])

main()


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

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

sys.setrecursionlimit(10 ** 6)
input = sys.stdin.readline
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")

def main():
    n = int(input())
    aa = list(map(int, input().split()))
    dp = [[0] * n for _ in range(n)]
    coff = 1 if n % 2 else -1
    for i, a in enumerate(aa):
        dp[i][i] = coff * a
    # p2D(dp)
    for d in range(1, n):
        coff *= -1
        for l in range(n - 1):
            r = l + d
            if r >= n: break
            if coff == 1:
                dp[l][r] = max(dp[l + 1][r] + aa[l], dp[l][r - 1] + aa[r])
            else:
                dp[l][r] = min(dp[l + 1][r] - aa[l], dp[l][r - 1] - aa[r])
    # p2D(dp)
    print(dp[0][-1])

main()


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

Buggy python submission (verdict: Time Limit Exceeded):
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            dp[i][j] = max(a[i] - dp[i + 1][j], a[j] - dp[i][j - 1])
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
dp = [[0] * n for _ in range(n)]
for i in range(n):
    dp[i][i]=a[i]
for i in range(n-2,-1,-1):
    for j in range(i+1,n):
        L=a[i]-dp[i+1][j]
        R=a[j]-dp[i][j-1]
        dp[i][j]=L if L>R else R
print(dp[0][n-1])


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
dp = [[0] * n for _ in range(n)]
for i in range(n):
    dp[i][i]=a[i]
for i in range(n-2,-1,-1):
    for j in range(i+1,n):
        dp[i][j]=max(a[i]-dp[i+1][j],a[j]-dp[i][j-1])
print(dp[0][n-1])


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
dp = [[0] * (n + 1) for _ in range(n + 1)]
for d in range(1,n+1):
    for i in range(n-d+1):
        j = i + d
        if (n - i - j) % 2:
            dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
        else:
            dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
print(dp[0][n])


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

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

sys.setrecursionlimit(10 ** 6)


def xy(a, x, y, i):
    if i == n - 2:
        if i % 2:
            return x - y - max(a) + min(a)
        else:
            return x - y + max(a) - min(a)
    t = tuple(a + [x, y])
    if t in memo:
        return memo[t]
    if i % 2:
        L = xy(a[1:], x, y + a[0], i + 1)
        R = xy(a[:-1], x, y + a[-1], i + 1)
        re = min(L, R)
        memo[t] = re
        return re
    else:
        L = xy(a[1:], x + a[0], y, i + 1)
        R = xy(a[:-1], x + a[-1], y, i + 1)
        re = max(L, R)
        memo[t] = re
        return re


memo = {}
n = int(input())
a = list(map(int, input().split()))
if n == 1:
    print(a[0])
    exit()
print(xy(a, 0, 0, 0))


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))

Buggy python submission (verdict: Runtime Error):
def xy(a, x, y, i):
    if i == n - 2:
        if i % 2:
            return x - y - max(a) + min(a)
        else:
            return x - y + max(a) - min(a)
    t=tuple(a+[x,y])
    if t in memo:
        return memo[t]
    if i % 2:
        L = xy(a[1:], x, y + a[0], i + 1)
        R = xy(a[:-1], x, y + a[-1], i + 1)
        re = min(L, R)
        memo[t] = re
        return re
    else:
        L = xy(a[1:], x + a[0], y, i + 1)
        R = xy(a[:-1], x + a[-1], y, i + 1)
        re = max(L, R)
        memo[t] = re
        return re


memo = {}
n = int(input())
a = list(map(int, input().split()))
if n == 1:
    print(a[0])
    exit()
print(xy(a, 0, 0, 0))


Fixed submission:
def kukan(n, a):
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[i + 1][j]
            R = a[j] - dp[i][j - 1]
            dp[i][j] = L if L > R else R
    return dp[0][n - 1]


n = int(input())
a = list(map(int, input().split()))
print(kukan(n, a))