Maximize Active Section with Trade II

For each query substring (augmented with a '1' at both ends), compute the maximum number of '1's obtainable by doing at most one "trade" that replaces an internal run of 1s (surrounded by 0s) with 0s and then flips an internal run of 0s (surrounded by 1s) to 1s. The core challenge is to pick runs to maximize net gain in ones for each query — solvable by run-length encoding plus range-query preprocessing (e.g., segment trees or sparse tables) to evaluate best trade quickly.