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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(a)
    dp = [0] * n ** 2

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


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(a)
    dp = [0] * n ** 2

    def f(i, j):
        return i * n + j

    for i in range(n):
        dp[f(i, i)] = a[i]
    for i in range(n - 2, -1, -1):
        for j in range(i + 1, n):
            L = a[i] - dp[f(i + 1, j)]
            R = a[j] - dp[f(i, j - 1)]
            if L > R:
                dp[f(i, j)] = L
            else:
                dp[f(i, j)] = R
    return dp[f(0, n - 1)]


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    N, *a = map(int, read().split())
    a = tuple(a)
    INF = float('inf')
    memo = [[INF] * N for _ in range(N)]

    def f(i, j):
        if memo[i][j] != INF:
            return memo[i][j]
        n = j - i + 1
        n %= 2
        if i == j:
            if n == r:
                s = a[i]
            else:
                s = -a[i]
            memo[i][j] = s
            return s
        if n == r:
            s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
        else:
            s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
        memo[i][j] = s
        return s

    r = N % 2
    f(0, N - 1)
    return memo[0][N - 1]


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    N, *a = map(int, read().split())
    a = tuple(a)
    INF = float('inf')
    memo = [[INF] * N for _ in range(N)]

    def f(i, j):
        if memo[i][j] != INF:
            return memo[i][j]
        n = j - i + 1
        if i == j:
            if n % 2 == r:
                s = a[i]
            else:
                s = -a[i]
            memo[i][j] = s
            return s
        if n % 2 == r:
            s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
        else:
            s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
        memo[i][j] = s
        return s

    r = N % 2
    f(0, N - 1)
    return memo[0][N - 1]


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    N, *a = map(int, read().split())
    a = tuple(a)
    memo = [[0] * N for _ in range(N)]

    def f(i, j):
        n = j - i + 1
        if i == j:
            if n % 2 == r:
                s = a[i]
            else:
                s = -a[i]
            memo[i][j] = s
            return s
        if n % 2 == r:
            s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
        else:
            s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
        memo[i][j] = s
        return s

    r = N % 2
    f(0, N - 1)
    return memo[0][N - 1]


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    N, *a = map(int, read().split())
    a = tuple(a)
    memo = [[0] * N for _ in range(N)]

    def f(i, j):
        n = j - i + 1
        if i == j:
            if n % 2 == r:
                s = a[i]
            else:
                s = -a[i]
            memo[i][j] = s
            return s
        if n % 2 == r:
            s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
        else:
            s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
        memo[i][j] = s
        return s

    r = N % 2
    f(0, N - 1)
    return memo[0][N - 1]


print(solve())


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

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

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)

N, *a = map(int, read().split())

memo = [[0] * N for _ in range(N)]
r = N % 2


def f(i, j):
    n = j - i + 1
    if i == j:
        if n % 2 == r:
            s = a[i]
            memo[i][j] = s
            return s
        else:
            s = -a[i]
            memo[i][j] = s
            return s
    if n % 2 == r:
        s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
    else:
        s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
    memo[i][j] = s
    return s


f(0, N - 1)
print(memo[0][N - 1])


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

Buggy python submission (verdict: Runtime Error):
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 10)

N, *a = map(int, read().split())

memo = [[0] * N for _ in range(N)]
r = N % 2


def f(i, j):
    n = j - i + 1
    if i == j:
        if n % 2 == r:
            s = a[i]
            memo[i][j] = s
            return s
        else:
            s = -a[i]
            memo[i][j] = s
            return s
    if n % 2 == r:
        s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
    else:
        s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
    memo[i][j] = s
    return s


f(0, N - 1)
print(memo[0][N - 1])


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())

Buggy python submission (verdict: Runtime Error):
import sys

read = sys.stdin.read
readline = sys.stdin.readline

N, *a = map(int, read().split())

memo = [[0] * N for _ in range(N)]
r = N % 2


def f(i, j):
    n = j - i + 1
    if i == j:
        if n % 2 == r:
            s = a[i]
            memo[i][j] = s
            return s
        else:
            s = -a[i]
            memo[i][j] = s
            return s
    if n % 2 == r:
        s = max(f(i, j - 1) + a[j], f(i + 1, j) + a[i])
    else:
        s = min(f(i, j - 1) - a[j], f(i + 1, j) - a[i])
    memo[i][j] = s
    return s


f(0, N - 1)
print(memo[0][N - 1])


Fixed submission:
import sys

read = sys.stdin.read
sys.setrecursionlimit(10 ** 7)


def solve():
    n, *a = map(int, read().split())
    a = tuple(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]
            if L > R:
                dp[i][j] = L
            else:
                dp[i][j] = R
    return dp[0][n - 1]


print(solve())