Buggy python submission (verdict: Time Limit Exceeded):
def main():
    N = int(input())
    a = list(map(int, input().split()))

    dp = [[0] * (N + 1) for _ in range(N + 1)]
    for i in range(1, N + 1):
        if (N - i) % 2 == 0:
            for l in range(N + 1 - i):
                r = l + i
                t0 = dp[l + 1][r] + a[l]
                t1 = dp[l][r - 1] + a[r - 1]
                if t0 > t1:
                    dp[l][r] = t0
                else:
                    dp[l][r] = t1
        else:
            for l in range(N + 1 - i):
                r = l + i
                t0 = dp[l + 1][r] - a[l]
                t1 = dp[l][r - 1] - a[r - 1]
                if t0 < t1:
                    dp[l][r] = t0
                else:
                    dp[l][r] = t1
    print(dp[0][N])
main()


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    N = int(input())
    a = list(map(int, input().split()))

    dp = [[0] * (N + 1) for _ in range(N + 1)]
    for i in range(1, N + 1):
        p = (N - i) % 2
        if p == 0:
            for l in range(N + 1 - i):
                r = l + i
                t0 = dp[l + 1][r] + a[l]
                t1 = dp[l][r - 1] + a[r - 1]
                if t0 > t1:
                    dp[l][r] = t0
                else:
                    dp[l][r] = t1
        else:
            for l in range(N + 1 - i):
                r = l + i
                t0 = dp[l + 1][r] - a[l]
                t1 = dp[l][r - 1] - a[r - 1]
                if t0 < t1:
                    dp[l][r] = t0
                else:
                    dp[l][r] = t1
    print(dp[0][N])
main()


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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 i in range(1, N + 1):
    p = (N - i) % 2
    if p == 0:
        for l in range(N + 1 - i):
            r = l + i
            t0 = dp[l + 1][r] + a[l]
            t1 = dp[l][r - 1] + a[r - 1]
            if t0 > t1:
                dp[l][r] = t0
            else:
                dp[l][r] = t1
    else:
        for l in range(N + 1 - i):
            r = l + i
            t0 = dp[l + 1][r] - a[l]
            t1 = dp[l][r - 1] - a[r - 1]
            if t0 < t1:
                dp[l][r] = t0
            else:
                dp[l][r] = t1
print(dp[0][N])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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

dp = [[0] * (N + 1) for _ in range(N + 1)]
for i in range(1, N + 1):
    p = (N - l) % 2
    if p == 0:
        for l in range(N + 1 - i):
            r = l + i
            t0 = dp[l + 1][r] + a[l]
            t1 = dp[l][r - 1] + a[r - 1]
            if t0 > t1:
                dp[l][r] = t0
            else:
                dp[l][r] = t1
    else:
        for l in range(N + 1 - i):
            r = l + i
            t0 = dp[l + 1][r] - a[l]
            t1 = dp[l][r - 1] - a[r - 1]
            if t0 < t1:
                dp[l][r] = t0
            else:
                dp[l][r] = t1
print(dp[0][N])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return 0
    if dp[l][r] is not None:
        return dp[l][r]
    if u == 0:
        t0 = f(u ^ 1, l + 1, r, a, dp) + a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) + a[r]
        if t0 > t1:
            result = t0
        else:
            result = t1
    else:
        t0 = f(u ^ 1, l + 1, r, a, dp) - a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) - a[r]
        if t0 < t1:
            result = t0
        else:
            result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
print(f(0, 0, N - 1, a, dp))


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return 0
    t = dp[l][r]
    if t is not None:
        return t
    if u == 0:
        t0 = f(u ^ 1, l + 1, r, a, dp) + a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) + a[r]
        if t0 > t1:
            result = t0
        else:
            result = t1
    else:
        t0 = f(u ^ 1, l + 1, r, a, dp) - a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) - a[r]
        if t0 < t1:
            result = t0
        else:
            result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
print(f(0, 0, N - 1, a, dp))


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return 0
    if dp[l][r] is not None:
        return dp[l][r]
    if u == 0:
        t0 = f(u ^ 1, l + 1, r, a, dp) + a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) + a[r]
        if t0 > t1:
            result = t0
        else:
            result = t1
    else:
        t0 = f(u ^ 1, l + 1, r, a, dp) - a[l]
        t1 = f(u ^ 1, l, r - 1, a, dp) - a[r]
        if t0 < t1:
            result = t0
        else:
            result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
print(f(0, 0, N - 1, a, dp))


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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 l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return (0, 0)
    if dp[l][r] is not None:
        return dp[l][r]
    x, y = f(u ^ 1, l + 1, r, a, dp)
    if u == 0:
        t0 = (x + a[l], y)
    else:
        t0 = (x, y + a[l])
    x, y = f(u ^ 1, l, r - 1, a, dp)
    if u == 0:
        t1 = (x + a[r], y)
    else:
        t1 = (x, y + a[r])
    if t0[u] - t0[u ^ 1] > t1[u] - t1[u ^ 1]:
        result = t0
    else:
        result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
t = f(0, 0, N - 1, a, dp)
print(t[0] - t[1])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return (0, 0)
    if dp[l][r] is not None:
        return dp[l][r]
    x, y = f(u ^ 1, l + 1, r, a, dp)
    if u == 0:
        t0 = (x + a[l], y)
    else:
        t0 = (x, y + a[l])
    x, y = f(u ^ 1, l, r - 1, a, dp)
    if u == 0:
        t1 = (x + a[r], y)
    else:
        t1 = (x, y + a[r])
    if t0[u] - t0[u ^ 1] > t1[u] - t1[u ^ 1]:
        result = t0
    else:
        result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
t = f(0, 0, N - 1, a, dp)
print(t[0] - t[1])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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


def f(u, l, r, a, dp):
    if l > r:
        return (0, 0)
    if dp[l][r] is not None:
        return dp[l][r]
    t0 = None
    x, y = f(u ^ 1, l + 1, r, a, dp)
    if u == 0:
        t0 = (x + a[l], y)
    else:
        t0 = (x, y + a[l])
    t1 = None
    x, y = f(u ^ 1, l, r - 1, a, dp)
    if u == 0:
        t1 = (x + a[r], y)
    else:
        t1 = (x, y + a[r])
    if t0 is None:
        result = t1
    elif t1 is None:
        result = t0
    else:
        if t0[u] - t0[u ^ 1] > t1[u] - t1[u ^ 1]:
            result = t0
        else:
            result = t1
    dp[l][r] = result
    return result


setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
t = f(0, 0, N - 1, a, dp)
print(t[0] - t[1])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])

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

def f(u, l, r):
    if l > r:
        return (0, 0)
    if dp[l][r] is not None:
        return dp[l][r]
    t0 = None
    x, y = f(u ^ 1, l + 1, r)
    if u == 0:
        t0 = (x + a[l], y)
    else:
        t0 = (x, y + a[l])
    t1 = None
    x, y = f(u ^ 1, l, r - 1)
    if u == 0:
        t1 = (x + a[r], y)
    else:
        t1 = (x, y + a[r])
    if t0 is None:
        result = t1
    elif t1 is None:
        result = t0
    else:
        if t0[u] - t0[u ^ 1] > t1[u] - t1[u ^ 1]:
            result = t0
        else:
            result = t1
    dp[l][r] = result
    return result

setrecursionlimit(1000000)

N = int(input())
a = list(map(int, input().split()))

dp = [[None] * N for _ in range(N)]
t = f(0, 0, N - 1)
print(t[0] - t[1])


Fixed submission:
N = int(input())
a = list(map(int, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
for l in range(1, N + 1):
  for i in range(N + 1 - l):
    j = i + l
    if (N - l) % 2 == 0:
      dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
    else:
      dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])