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One Flip Game

Bob likes to play his game on paper. He writes n integers a1, a2, ..., an. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices i and j (1 ≤ i ≤ j ≤ n) and flips all values ak for which their positions are in range [i, j] (that is i ≤ k ≤ j). Flip the value of ak means to apply operation ak = 1 - ak.

The goal of the game is that after exactly one move to obtain the maximum number of ones.

Given a list of 0 or 1. Return the maximal number of 1s that can be obtained after exactly one move.

Example 1

Input:

[1, 0, 0, 0, 1, 0, 0, 0]

Output:

7
main.c

main.c

C

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