3964. Minimum Lights to Illuminate a Road

You are given an integer array lights of length n, representing positions 0 through n - 1 on a road.

For each position i:

• If lights[i] = v, where v > 0, there is a working bulb at position i that illuminates every position from max(0, i - v) to min(n - 1, i + v), inclusive.
• If lights[i] = 0, there is no working bulb at position i.

A position is visible if it is illuminated by at least one working bulb.

You may install additional bulbs at any positions. Each additional bulb installed at position j illuminates positions from max(0, j - 1) to min(n - 1, j + 1), inclusive.

Return the minimum number of additional bulbs required to make every position on the road visible.

Example 1:

Example 2:

Constraints:

• 1 <= n == lights.length <= 105
• 0 <= lights[i] <= n