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Suppose we initially move to the left and encounter a non-zero element. In that case, we need to decrement this element by one, then change the direction of movement and continue moving.
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Therefore, we can maintain the sum of elements to the left of each zero-value element as $l$, and the sum of elements to the right as $s - l$. If $l = s - l$, meaning the sum of elements on the left equals the sum of elements on the right, we can choose the current zero-value element and move either left or right, adding $2$ to the answer. If $|l - (s - l)| = 1$, and the sum of elements on the left is greater, we can choose the current zero-value element and move left, adding $1$ to the answer. If the sum of elements on the right is greater, we can choose the current zero-value element and move right, adding $1$ to the answer.
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The time complexity is $O(n)$, where $n$ is the length of the array. The space complexity is $O(1)$.
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