<s>[INST] In the board game "Escape from Atlantis," players take turns moving their adventurer pieces around a sinking island. The game ends when all adventurers have escaped or the island sinks. Players can move their pieces to adjacent spaces that are not already occupied. They can also use a special "raft" tile to move their pieces to any unoccupied space on the grassy areas (which are all connected) or to the shore. In addition, players can use a special "diving" tile to move their pieces to any unoccupied space on the water.

The game board consists of a grid of hexagonal spaces, with some spaces being water and some being grassy areas. Assume all grassy areas are connected and that the shore is considered part of the grassy areas.

Given a state of the board, determine the minimum number of turns required for all adventurers to escape.

Constraints:
- Each move can move at most one adventurer.
- Each move can move one adventurer to an adjacent space or to any unoccupied space on the grassy areas or the water using a raft or diving tile.
- The island will sink after a certain number of turns (not given), but we assume that we have enough turns to escape all adventurers.
- There are no obstacles on the grassy areas or the water.

This problem seems too complex to be solved by the usual graph algorithms (BFS/DFS/A*) because the "raft" and "diving" tiles add a new layer of complexity.

Here's an example of what the state of the board could look like (1 represents a grassy space, 0 represents a water space, 2 represents an adventurer):

```
[[0, 0, 0, 0, 0],
 [0, 1, 1, 1, 0],
 [0, 1, 2, 1, 0],
 [0, 1, 1, 1, 0],
 [0, 0, 0, 0, 0]]
```

How would you approach this problem?[/INST]