Simulate toppling board game outcome

Implement a function that, given the board size N (3–9 inclusive) and a list of move strings, returns one of: "in progress", "player 1 is the winner", or "player 2 is the winner". The board is N×N. Players alternate turns and the active player changes on each Place move: all Topple moves between two Place moves belong to the player who executed the preceding Place. Move formats: ( 1) Place: "pXY" places one piece at row X, col Y. You may place only on an empty cell or a cell already owned by the current player. Placing on an empty cell claims it for the current player; otherwise increase the stack height. ( 2) Topple: "tXYD" topples all pieces from (X,Y) in direction D ∈ {u,r,d,l}. You may topple only from a cell you own with stack height ≥2. Pick up all pieces from (X,Y) and drop them one-by-one into adjacent cells starting from the next cell along D; pieces that go off-board are lost. Captures: if a dropped piece lands on a cell owned by the opponent, that piece is captured by the opponent and added to that cell’s stack (ownership of a cell is the owner of the stack on that cell). Game end: as soon as one player has zero pieces anywhere on the board, return the other player as the winner. Assume all moves are valid and well formed. Examples: ["p10", "p12", "p10", "t10r"] → "player 1 is the winner"; ["p00", "p22", "p02", "p22", "t22u", "t02l"] → "player 2 is the winner".