Parent State ID: 161
State Depth: 14
Action Taken: paint-down(robot1, tile_1-3, tile_0-3, white)
Action Reasoning: The robot is currently on tile_0-3 and holding the color white. The next step is to paint tile_1-3 white, which is directly below the robot. This aligns with the goal state and follows the rule of painting downwards.
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is clear. Tile tile_1-1 is clear. Tile tile_1-2 is clear. Tile tile_1-3 is painted white. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-3, holding color white. Colors white and black are available for switching.
Action Path: ['right(robot1, tile_0-1, tile_0-2)', 'down(robot1, tile_0-2, tile_1-2)', 'paint-down(robot1, tile_2-2, tile_1-2, white)', 'change-color(robot1, white, black)', 'paint-down(robot1, tile_2-3, tile_1-2, black)', 'right(robot1, tile_1-2, tile_1-3)', 'left(robot1, tile_1-3, tile_1-2)', 'left(robot1, tile_1-2, tile_1-1)', 'paint-down(robot1, tile_2-1, tile_1-1, black)', 'change-color(robot1, black, white)', 'right(robot1, tile_1-1, tile_1-2)', 'right(robot1, tile_1-2, tile_1-3)', 'up(robot1, tile_1-3, tile_0-3)', 'paint-down(robot1, tile_1-3, tile_0-3, white)']

successfully verified the action of new state 183 with the path: The last action `paint-down(robot1, tile_1-3, tile_0-3, white)` is valid because all preconditions are satisfied: the robot is on `tile_0-3`, `tile_1-3` is clear and directly below, and the robot is holding the correct color. The effects of the action are correctly reflected in the current state, and the visualization matches the sequence of actions taken. The action aligns with the goal state requirements for `tile_1-3`.

INACTIVE REASON: Pruned in beam search
