You are given a 2D grid representing a maze where each cell is either open (represented by '.') or blocked (represented by '#'). In addition to static obstacles, certain cells in the grid are dynamic: their state toggles between open and blocked every turn. The schedule for each dynamic cell is provided: an integer indicating that the cell toggles its state after every N moves (N ≥ 1). All non-dynamic cells remain constant.
The maze also has a designated start position and a target position. Your task is to write a program that computes the minimum number of moves required to reach the target from the start, obeying these rules:
- At each move, you can travel to one of the four adjacent cells (up, down, left, or right) if the destination cell is open at the time of arrival.
- After each move (including the initial state before any move), update the state of each dynamic cell if the number of moves so far is a multiple of its toggle interval.
- If the target is unreachable, the program should indicate that no valid path exists.
Assume the following:
- The grid dimensions, start, and target positions are provided as input.
- The list of dynamic cells with their positions and toggle intervals is also provided along with the initial grid configuration.
- The grid indices start at 0.
Input Example (you can choose your own input format):
- An integer for grid rows and columns.
- A grid of characters ('.' or '#') describing the maze.
- The starting coordinate (row, column).
- The target coordinate (row, column).
- A list of tuples, each containing the row, column, and toggle interval for a dynamic cell.
Output Example:
- The minimum number of moves to reach the target, or a message indicating that the target is unreachable.
Design your solution with efficiency in mind, as the grid can be relatively large and the number of dynamic cells non-trivial. Good luck!