Hunt and Kill Algorithm Maze Creation

The Hunt and Kill algorithm is very similar to the Depth-First Search algorithm in a sense that the algorithm chooses a random initial cell and explore as far as possible a path until it finds a dead end.

The difference is that when this happens, instead of backtracking, it scan the maze for an uncut cell and starts a random walk from that cell.

The process repeat until no uncut cells are find during the maze scanning.

[aymanlafaz]

is there an algorithm that would have more than one exit and be able to go out of them

[SirViette]

Can this algorithm ensure that there's a viable path you can travel from the entrance to the exit of the maze?