subject,question,choices,answer
mental manipulation and transformation,"Scenario: Imagine a transparent 3x3x3 cube frame (consisting of 27 small cubic spaces, with the coordinate system (x, y, z) originating from the center point (0,0,0). The X-axis points forward, the Y-axis points right, and the Z-axis points up. Therefore, the corner coordinates range from (-1,-1,-1) to (1,1,1)). A small ball is located at the corner (1, 1, 1), and it will not roll.

Question: First, rotate the entire cube counterclockwise around the Z-axis by 90 degrees. Next, rotate the frame clockwise around the Y-axis by 90 degrees. After these two consecutive rotations, at which coordinate will the small ball ultimately be located?","[""(1, -1, 1)"",""(-1, 1, -1)"",""(1, 1, -1)"",""(-1, -1, -1)""]",1
mental manipulation and transformation,"In a 5x5 planar room layout, coordinates range from (0,0) to (4,4), where the X-axis increases to the right and the Y-axis increases downwards. The initial positions of items are: Table(1,2), Window(0,4), Door(4,0), Bookcase(2,3). If a horizontal mirror transformation is applied to this layout (i.e., flipped along the vertical line x=2), after the transformation, if you stand at position (2,4) facing the top of the room (towards Y=0), what will be the relative directions of the new 'Table' position and the new 'Door' position from your perspective? (Please answer in the order of 'Table direction, Door direction')

Additionally, what are the new coordinates of all items after the transformation?","[""Front-right, Left ; Table(3,2), Window(4,4), Door(0,4), Bookcase(3,3)"",""Front-left, Front-right ; Table(1,2), Window(0,4), Door(4,0), Bookcase(2,3)"",""Back-right, Back-left ; Table(1,2), Window(0,0), Door(4,4), Bookcase(2,1)"",""Front-right, Front-left ; Table(3,2), Window(4,4), Door(0,0), Bookcase(2,3)""]",3
mental manipulation and transformation,"In a 10x10 grid (coordinates ranging from 0 to 9), the following areas and points are defined: a rectangular 'Garden' area ranging from top-left (4,2) to bottom-right (7,6); a 'Fountain' located at (8,1); and a 'Pavilion' located at (3,9). If the entire grid is rotated 90 degrees clockwise around its exact center (an imaginary point at approximately (4.5, 4.5)):

After the rotation, what will be the new coordinates of the 'Fountain', the 'Pavilion', and the top-left and bottom-right corners defining the new 'Garden' area? (Coordinate order: Fountain, Pavilion, Garden top-left, Garden bottom-right)","[""Fountain(1,1), Pavilion(9,6), Garden top-left(2,2), Garden bottom-right(6,5)"",""Fountain(8,1), Pavilion(3,9), Garden top-left(4,2), Garden bottom-right(7,6)"",""Fountain(8,8), Pavilion(0,3), Garden top-left(3,4), Garden bottom-right(7,7)"",""Fountain(1,1), Pavilion(9,6), Garden top-left(2,5), Garden bottom-right(6,2)""]",2
mental manipulation and transformation,"In a 7x7 grid (coordinates ranging from 0 to 6), Object A is located at (2,3), Object B is 2 spaces directly east of A, and Object C is 1 space directly north of A. If a vertical mirror transformation is applied to the entire grid (i.e., flipped along the horizontal line y=3).

After the transformation, what are the new coordinates of Object A? And what is the new relative direction of Object C with respect to Object A? (Please answer in the order of 'A\'s new coordinates, C\'s new direction relative to A')","[""A coordinates (2,3), C is south of A"",""A coordinates (2,3), C is north of A"",""A coordinates (4,3), C is north of A"",""A coordinates (4,3), C is south of A""]",0
mental manipulation and transformation,"Imagine a large cube made up of 27 (3x3x3) identical small cubes. Now remove the small cube in the exact center of the face facing you (front), and the small cube in the exact center of the opposite face (back). Next, remove the small cube in the exact center of the top face and the small cube in the exact center of the bottom face. Finally, remove the small cube in the exact center of the left face and the exact center of the right face. How many small cubes remain after completing these removals?","[""20"",""21"",""22"",""19""]",1
mental manipulation and transformation,"Imagine a large cube made up of 27 (3x3x3) identical small cubes. Now remove the entire column of small cubes passing through the exact center of the face facing you (front) to the exact center of the opposite face (back). Next, remove the entire column of small cubes passing through the exact center of the top face to the exact center of the bottom face. Finally, remove the entire column of small cubes passing through the exact center of the left face to the exact center of the right face. How many small cubes remain after completing these removals?","[""21"",""20"",""22"",""19""]",0
mental manipulation and transformation,"Place two completely identical standard six-sided dice side-by-side so that their touching faces have the numbers 3 and 4 respectively (the die with 3 is on the left, and the die with 4 is on the right). If you look at this pair of dice from the top and see the numbers 1 and 1 on both, and you know the front face of the left die (the one facing you) is 2. What number is on the front face of the right die?","[""2"",""6"",""7"",""12""]",2
mental manipulation and transformation,"Imagine a toy airplane model placed on a table, with its nose pointing straight ahead (away from you) and its wings stretched out horizontally. First, rotate the airplane model 45 degrees to the right along its longitudinal axis passing from front to back through the fuselage (roll). Then, rotate it 90 degrees upwards along the horizontal axis passing through the wings (pitch). From your perspective, where is the right wing of the airplane currently pointing?","[""Top-left"",""Bottom-right"",""Straight ahead"",""Straight behind""]",0
"mental manipulation and transformation, cognitive maps and spatial language","In a 3x3 grid, coordinates range from top-left (0,0) to bottom-right (2,2), where the X-axis increases to the right and the Y-axis increases downwards. The initial positions are: A at (0,0), B at (2,0), C at (1,1), D at (1,2). If we move B one space left, move D one space right (which is out of bounds, assuming it wraps around to the same row's leftmost space), and move A one space down. After these movements, if you are located at C facing south (towards Y=2), what are the relative directions of A and D from your perspective?","[""Left, Front-left"",""Front-right, Front-left"",""Behind, Front-right"",""Right, Front-right""]",3
"mental manipulation and transformation, cognitive maps and spatial language","In a 5x5 grid room (bottom-left is (0,0), top-right is (4,4)), the initial positions of objects are: Table on the west side (0,2), Door on the north side (2,4), Window on the east side (4,1), Sofa on the south side (3,0). Now, rotate the entire room 90 degrees clockwise around the center point (2,2), and then mirror it horizontally (flipped along the x=2 vertical axis). Where are the final positions of the objects, and on which side (North/South/East/West) is the sofa?","[""Table(4,2), Door(4,2), Window(3,0), Sofa(4,3); Sofa is on the east side"",""Table(2,4), Door(0,2), Window(3,4), Sofa(0,1); Sofa is on the west side"",""Table(0,2), Door(2,0), Window(1,4), Sofa(4,1); Sofa is on the east side"",""Table(4,2), Door(2,4), Window(3,0), Sofa(0,1); Sofa is on the west side""]",1
"mental manipulation and transformation, cognitive maps and spatial language","A two-dimensional shape is generated by a series of instructions: start drawing a line from (0,0) to (0,4), then draw a line to (2,4), then draw a line to (2,1), then draw a line to (4,1), and finally draw a line to (4,0). Which English letter does this resulting shape most closely resemble?","[""L"",""F"",""Z"",""U""]",0
"mental manipulation and transformation, cognitive maps and spatial language","In a spatial memory task, you need to remember a series of object position changes. Initial state: Object 1 is at center (0,0), Object 2 is at (3,0), Object 3 is at (0,4). Change 1: Move Object 2 up by 2 units. Change 2: Move Object 3 right by 1 unit and down by 2 units. Change 3: Move Object 1 to the midpoint of Object 2 and Object 3. Compared to their initial state, what overall transformation did the relative layout of these three objects undergo?","[""Translated to the right overall"",""Rotated around a certain point"",""Remained unchanged"",""Became a straight line arrangement""]",1
cognitive maps and spatial language,"You are standing in the center of a plaza (Point A) facing due north. A fountain (Point B) is 60 meters due east of you. You walk straight from Point A to Point B, then turn 120 degrees to the left and walk another 80 meters to reach a statue (Point C). What is the straight-line distance from Point C back to your starting Point A?","[""100 meters"",""40 meters"",""53 meters"",""113 meters""]",2
cognitive maps and spatial language,"Here is a route description from Location A (Mall Entrance) to Location B (Bookstore): 'From the entrance, walk straight for 15 meters, then turn right, walk along the corridor for 10 meters, pass the coffee shop on your left, turn left at the next intersection, go straight for 5 meters, and the bookstore is on your right.' If you want to return from the Bookstore (Location B) to the Mall Entrance (Location A), which of the following route descriptions is correct?","[""From the bookstore, walk straight for 5 meters, turn right, walk 10 meters passing the coffee shop on your right, turn left, and walk 15 meters straight to the entrance."",""From the bookstore, walk straight for 5 meters, turn left, walk 10 meters passing the coffee shop on your right, turn right, and walk 15 meters straight to the entrance."",""From the bookstore, walk straight for 5 meters, turn right, walk 10 meters passing the coffee shop on your left, turn left, and walk 15 meters straight to the entrance."",""From the bookstore, walk straight for 5 meters, turn left, walk 10 meters passing the coffee shop on your left, turn right, and walk 15 meters straight to the entrance.""]",0
cognitive maps and spatial language,"You are in a 9x9 room layout, using a coordinate system (x, y) to describe positions, where the top-left (northwest) corner is (0,0) and the bottom-right (southeast) corner is (8,8). Initially, the Door is at (4,0), the Window is at (0,4), the Table is at (4,4), and the Chair is at (4,5). Now you imagine you are standing at the center (4,4), facing south (towards y=8). If the entire room layout is rotated 90 degrees counterclockwise around the center (4,4), what will be the new coordinates of all the objects? And from your current perspective (still at (4,4) facing south), which object is directly to your left?","[""Door(4,8), Window(8,4), Table(4,4), Chair(4,3) ; Window is on the left"",""Door(8,4), Window(4,8), Table(4,4), Chair(3,4) ; Door is on the left"",""Door(0,4), Window(4,8), Table(4,4), Chair(5,4) ; Window is on the left"",""Door(8,4), Window(4,0), Table(4,4), Chair(3,4) ; Chair is on the left""]",0
cognitive maps and spatial language,"Imagine there are three points P, Q, and R in space. Today you stand on these three points respectively and look north. When looking from point P, point Q is directly in front of you. When looking from point Q, point R is directly to your right. If you stand at point R, where is point P in your perspective?","[""Directly behind"",""Directly left"",""Behind and to the left"",""Behind and to the right""]",2
"cognitive maps and spatial language, navigation and path integration","An object starts moving from the origin (0, 0, 0). First, it moves 3 units along the positive Z-axis to reach P1. Then, it moves 4 units parallel to the positive X-axis to reach P2. Finally, it moves 5 units parallel to the negative Y-axis to reach P3. What is the straight-line distance from the origin to P3, and what is the displacement vector?","[""Distance approximately 6.4, vector <4, -5, 0>"",""Distance 12, vector <4, -5, 3>"",""Distance approximately 7.1, vector <4, -5, 3>"",""Distance approximately 7.1, vector <3, 4, -5>""]",1
"cognitive maps and spatial language, navigation and path integration","An explorer departs from a camp, walks 5 kilometers due east, then turns left (counterclockwise) by 135 degrees, and walks another 7 kilometers. What is the approximate distance and direction (bearing angle in degrees, where North is 0/360, East is 90) of the explorer relative to the camp at this point?","[""Distance approximately 5 km, bearing 0 degrees"",""Distance approximately 5 km, bearing 180 degrees"",""Distance approximately 7.1 km, bearing 45 degrees"",""Distance approximately 7.1 km, bearing 315 degrees""]",2
"cognitive maps and spatial language, navigation and path integration","You enter the ground floor lobby of a building, facing north. You walk forward 10 meters, take the elevator up to the 3rd floor. Exiting the elevator, you turn 90 degrees to the right (facing east), walk 15 meters, turn 90 degrees to the left (facing north again), and walk 5 meters to enter an office. Which general direction is this office located relative to the lobby entrance on the ground floor?","[""Northeast"",""Southeast"",""Due East"",""Due North""]",1
"cognitive maps and spatial language, navigation and path integration","Inside a building, there are three rooms A, B, and C on the same floor. Coming out of Room A, if you turn right and walk along the corridor for 10 meters, you reach Room B. Coming out of Room A, if you turn left and walk along the corridor for 10 meters, you reach Room C. What is the orientation of the corridor connecting Rooms B and C?","[""East-West"",""North-South"",""Southeast-Northwest"",""Northeast-Southwest""]",0
navigation and path integration,"Imagine a rectangular box with length, width, and height being 6 units, 3 units, and 2 units respectively. An ant is at one vertex A of the box, and it wants to crawl along the surface of the box to the farthest vertex B. What is the shortest distance it can crawl?","[""7"",""7.8"",""8.54"",""11""]",2
navigation and path integration,"You are moving in a 3D maze, starting at coordinates (0, 0, 0). Your movement sequence is as follows: first, move 3 units along the positive X-axis; then, move 2 units along the positive Y-axis; next, move 1 unit along the positive Z-axis; finally, move 1 unit along the negative X-axis. What is your straight-line distance from the starting point?","[""Square root of 8"",""Square root of 12"",""Square root of 14"",""Square root of 16""]",1
navigation and path integration,"A robot moves on an infinite 2D plane, starting at (0,0) facing the positive Y-axis (North). It receives a sequence of instructions: Instruction 1: 'Move forward 10 units'. Instruction 2: 'Turn right 90 degrees'. Instruction 3: 'Move forward 5 units'. Instruction 4: 'Turn left 45 degrees'. Instruction 5: 'Move backward (reverse) 8 units'. What is the approximate final heading angle (in degrees, where the positive X-axis is 0 degrees and the positive Y-axis is 90 degrees) of the robot?","[""Approximately -104 degrees"",""Approximately -119 degrees"",""Approximately 119 degrees"",""Approximately 104 degrees""]",2
navigation and path integration,"You are exploring a cave system. The route is as follows: from the entrance, walk straight inwards (assume North) for 20 meters, then encounter a steep downward slope, descending 5 meters in vertical height while moving 10 meters horizontally forward (North). Then turn right 90 degrees (East) and walk 15 meters on a flat surface. Finally, encounter an upward staircase, ascending 8 meters in vertical height while moving 5 meters horizontally forward (East). At this moment, what is your general direction and relative height compared to the entrance?","[""Northeast, Lower"",""Northeast, Higher"",""Northwest, Lower"",""Due East, Same height""]",0
navigation and path integration,"You start from home, walk 3 blocks east, then 4 blocks south to reach the post office. After that, you walk 6 blocks west from the post office, and then 2 blocks north to reach the supermarket. If you want to take the shortest route along the streets (Manhattan distance) back home from the supermarket, which of the following route strategies is correct?","[""First travel east for some distance, then turn south."",""First travel east for some distance, then turn north."",""First travel west for some distance, then turn south."",""First travel west for some distance, then turn north.""]",2
navigation and path integration,"Imagine a square courtyard with a circular fountain in the center. Different types of trees are planted in the four corners of the courtyard: a pine tree in the northeast corner, a maple tree in the southeast corner, a banyan tree in the southwest corner, and an oak tree in the northwest corner. You start from the fountain and walk straight towards the maple tree. Halfway there, you decide to head towards the oak tree instead. What turn should you make?","[""Generally maintain the original southwest direction and keep going."",""Make a slight left turn and keep going."",""Make a near 90-degree right turn and head in the new direction."",""Make a near 180-degree turn and head in the opposite direction.""]",2
navigation and path integration,"A boat sails from Point A, travels 12 km North, then 5 km East to reach Point B. If it needs to return directly from Point B to Point A in a straight line, what direction should it head, and why?","[""Southwest, because it needs to offset the previous North and East travels."",""Due West, then turn Due South."",""Southeast, because it is the opposite of the departure route."",""Northeast, to form a complete triangle.""]",0
navigation and path integration,"You are in an underground maze, and the only exit is due South of your current position. You walk forward (North) for 10 meters, turn right and walk 5 meters, turn right again and walk 15 meters. To reach the exit using the shortest path, what should be your next move strategy?","[""Continue East to find possible passages."",""Walk straight South, because the exit is to the South."",""Turn back South, try to retrace your steps."",""Turn back North, re-evaluate the direction.""]",1
navigation and path integration,"You start from a red flag marked 'Start', facing North. You take 20 steps forward, turn left 45 degrees, and take another 10 steps forward. At this point, to walk back to the 'Start' flag via the shortest straight-line distance, which of the following actions should you take first?","[""Turn right by an angle of about 45 degrees, then walk forward."",""Turn left by an angle less than 90 degrees, then walk forward."",""Turn around 180 degrees, then walk forward."",""Turn left by an angle greater than 90 degrees, then walk forward.""]",3
spatial perception and action,"You are trying to pass a square cushion (side length about 40 cm) parallel through a circular hole. Measurement shows the circular hole's diameter is 50 cm. Without squeezing the cushion, can it pass through smoothly?","[""Yes, very easily"",""Yes, but requires adjusting the angle"",""No, the hole is too small"",""Not necessarily, depends on the cushion's thickness""]",2
spatial perception and action,"Imagine you are standing at the bottom of a valley, facing a towering mountain peak straight ahead. There are winding trails extending upwards on both the left and right sides of the peak. The left trail looks gentler but has many switchbacks, making it longer; the right trail looks much steeper but more direct. From a perspective of saving physical energy (work done against gravity), ignoring friction, which path is better?","[""The gentler but longer path on the left"",""The steeper but shorter path on the right"",""Both paths require roughly the same physical energy"",""Cannot judge physical energy consumption just from visual perception""]",0
spatial perception and action,You are trying to fit a rectangular wooden block (length:width:height ratio roughly 3:2:1) into a square opening with a maximum area of 3 square units. How should you position the block to maximize the chance of passing it through?,"[""Align the face formed by the longest and second-longest edges with the opening"",""Align the face formed by the longest and shortest edges with the opening"",""Align the face formed by the second-longest and shortest edges with the opening"",""It will fail no matter how it is positioned""]","[1,2]"
spatial perception and action,"You are watching two people racing on flat ground. Runner A starts with a faster speed but gradually slows down; Runner B starts slower but continuously accelerates. At the halfway point of the race, the two are neck and neck. Based on this observation, who is more likely to win the race?","[""Runner A"",""Runner B"",""Arrive at the same time"",""Cannot be predicted""]",1
spatial perception and action,"You have a transparent glass in front of you, filled to 80% capacity with water. If you tilt the glass at a 45-degree angle (but no water spills out), what will the water surface inside the glass look like relative to the ground?","[""Parallel to the bottom of the glass"",""Parallel to the ground (remains horizontal)"",""At a 45-degree angle to the wall of the glass"",""Appears as a curved arc""]","[1,2]"
spatial perception and action,"You are practicing shooting in an indoor basketball court. You stand behind the free-throw line, facing the hoop. Your teammate runs from your back-left, preparing to cut under the basket. To avoid hitting your teammate with the ball, when is the safest time to shoot?","[""Just as they enter your field of vision"",""Right when they are about to run directly under the basket"",""After they have completely run past the basket"",""Anytime is fine, as long as you adjust your strength""]",2
spatial perception and action,"You are packing a suitcase with a rectangular internal space. You have a thick jacket that, when folded, roughly forms a rectangular block with length, width, and height of about 40 cm, 30 cm, and 15 cm respectively. Your suitcase has an internal depth of 20 cm, length of 50 cm, and width of 35 cm. What is the most space-saving way to pack this jacket?","[""Place it flat, aligning the jacket's 15 cm side with the suitcase's 20 cm side."",""Align the jacket's length and width with any two sides of the suitcase."",""The jacket is too thick (15 cm is close to 20 cm) and cannot be packed."",""Fold the jacket again to reduce its length and width before packing.""]",0
spatial perception and action,"You receive instructions for assembling a bookshelf. Step 1 is to stand two side panels A vertically on the ground, ensuring they are parallel and facing the same way. Step 2 is to take a shelf B and insert its tenons into the corresponding grooves on the two side panels A. You find that one side of shelf B goes in, but the other side's tenon doesn't align with the groove. What is the most likely cause of this problem?","[""Shelf B is facing the wrong way."",""The two side panels A are not parallel to each other, or the distance between them is wrong."",""Uneven ground caused the side panels to tilt."",""The depth of the grooves on side panels A is inconsistent.""]",1
spatial perception and action,"You have three wooden blocks. Block A is a cube with a 5 cm edge. Block B is a rectangular block with length 4 cm, width 5 cm, height 6 cm. Block C is also a rectangular block with length 6 cm, width 5 cm, height 4 cm. You want to stack these three blocks to build the tallest possible tower. How should you stack them?","[""Block A stacked on Block B (Block B placed on its 4x5 cm base, so height is 6 cm)."",""Block B (placed on its 4x5 cm base, so height is 6 cm) stacked on Block C (placed on its 5x6 cm base, so height is 4 cm), and Block A on top."",""Any block stacked on another works, as the total volume is constant."",""Stack them with their longest edges positioned vertically: Block B (height 6 cm) + Block C (height 6 cm) + Block A (height 5 cm).""]",3
spatial perception and action,"You have a standard square napkin. First, you fold it in half along a diagonal, making it a triangle. Then, you fold this triangle in half along its height (from the center of the original diagonal to the opposite vertex), creating a smaller triangle. Finally, you use scissors to cut off a small piece at the 90-degree right angle tip of this small triangle. When you completely unfold the napkin, what pattern will appear?","[""A small hole in the exact center of the napkin."",""A small hole in each of the four corners of the napkin."",""Several symmetrical small holes along the two diagonals of the napkin."",""A large square hole in the center of the napkin.""]",0
spatial perception and action,"You are assembling a model airplane. The manual instructs: 'Install the left wing into the left slot of the fuselage, and the right wing into the right slot. Note that the leading edge of the wing (the thicker and rounded side) must face forward.' If you accidentally install the left wing upside down (flipped bottom-to-top) into the left slot, what impact will this have on the aircraft's aerodynamic characteristics?","[""The total weight of the aircraft will increase."",""The tail of the aircraft will become unstable."",""The lift of the right wing will be significantly greater than the left wing."",""The lift generated by that wing will significantly decrease or even produce negative lift.""]",3
spatial perception and action,"Imagine a three-tiered cake, where each tier is circular, and the upper tiers have slightly smaller diameters than the lower ones, forming a stepped shape. Now, you make a vertical cut straight down from the exact top of the cake, passing through the exact center of all three tiers to the bottom. If you pull out one piece of the cut cake and look at its cross-section, what shape will this cross-section be?","[""Three circles of the same size."",""Three complete circles stacked together, but decreasing in size."",""A large rectangle with two smaller rectangles stacked on top of it."",""A stepped shape composed of three rectangles of different widths.""]",3
spatial memory and representation,"Dialogue 1: On a standard 3x3 chessboard, we placed two pieces. A white piece is placed in the top-left corner square, which is position A1. Meanwhile, a black piece is placed in the center square, which is position B2.
Dialogue 2: Now, we move the white piece one square to the right, and move the black piece one square down. After that, we move the white piece one square down again, and move the black piece one square to the left.
Question 1: What was the white piece's position after the first movement in Dialogue 2?
Question 2: What is the final position of the black piece?","[""A1"",""B2"",""C3"",""A3"";""A1"",""B1"",""C1"",""A2"";""White is at C2, Black is at B3"",""White is at A3, Black is at B1""]",[2;3;3]
spatial memory and representation,"Dialogue 1: Imagine a room, its north wall has a window (W). The initial layout of the room is: a desk (D) is placed directly south of the window (W); a chair (C) is placed directly east of the desk (D).
Dialogue 2: Now, we move the chair (C) to directly south of the desk (D), and move the desk (D) to directly east of its original position. After the move, we place a potted plant (P) in the original position of the desk (D).
Question 1: Initially, which side of the chair is the desk?
Question 2: After the move, where is the desk (D) located relative to the window (W)?","[""East side"",""West side"",""South side"",""North side"";""West of the desk"",""East of the desk"",""South of the desk"",""North of the desk"";""Directly south of the window, and closer"",""Directly south of the window, and further away"",""Southeast of the window"",""Southwest of the window""]",[1;1;1]
spatial memory and representation,"Dialogue 1: A small open-air parking lot has three parallel parking spaces. Looking from the entrance, they are numbered from left to right as No. 1, No. 2, and No. 3. Initially, a red car is parked in space No. 1, a blue car in space No. 2, and space No. 3 is empty.
Dialogue 2: A green car enters the parking lot. At the same time, the blue car in space No. 2 leaves. The green car then parks in space No. 3. Afterwards, the red car in space No. 1 also leaves.
Question 1: After Dialogue 1, which parking space is empty?
Question 2: After Dialogue 2, what is the status of the parking spaces?","[""No. 1"",""No. 2"",""No. 3"",""None are empty"";""No. 1 is empty, No. 2 has the green car"",""No. 1 has the red car, No. 2 has the green car"",""No. 1 is empty, No. 2 is empty"",""No. 2 has the red car, No. 3 has the green car""]",[1;0;0]