**Problem Description**

There are **A** coins (Assume A is even) in a line.

Two players take turns to take a coin from one of the ends of the line until there are no more coins left.

The player with the larger amount of money wins, Assume that you go first.

Return the **maximum amount** of money you can win.

**NOTE:**

1 <= length(A) <= 500

1 <= A[i] <= 10^{5}

The first and the only argument of input contains an integer array **A**.

Return an integer representing the maximum amount of money you can win.

Input 1:

A = [1, 2, 3, 4]

Input 2:

A = [5, 4, 8, 10]

Output 1:

6

Output 2:

15

Explanation 1:

You : Pick 4 Opponent : Pick 3 You : Pick 2 Opponent : Pick 1Total money with you : 4 + 2 = 6

Explanation 2:

You : Pick 10 Opponent : Pick 8 You : Pick 5 Opponent : Pick 4Total money with you : 10 + 5 = 15

NOTE:You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.

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