In Amazon's Smart Cities Management System, each city has a given population, and some cities are equipped with security units.

You are given:

An integer array population of size n, where population[i] represents the number of inhabitants in the iᵗʰ city.

A binary string unit of length n, where:

unit[i] = '1' means city i has a security unit.

unit[i] = '0' means city i does not have a security unit.

Relocation Rules

A security unit at city i (where i > 1) can be moved one step to the left, i.e., to city i - 1.

Each unit can be moved at most once.

If moved, city i loses its unit and city i - 1 gains one.

The security unit in city 1 cannot be moved further left.

A city is considered protected if it has a security unit after all relocations.

Your task is to determine the maximum total population that can be protected after applying optimal relocations.

Example

Input: population = [10, 5, 8, 9, 6] unit = "01101" Process:

Initial configuration: 01101

Move unit from index 2 → 1: 10101 Safe population = 10 + 8 + 6 = 24

Move unit from index 5 → 4: 10110 Safe population = 10 + 8 + 9 = 27

No better configuration exists.

Output: 27