Datasets:

OpenRaiser
/

MoTiF

task_type stringclasses 4 values	question stringlengths 361 809	reasonings listlengths 2 6
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial position and trajectory. The red ball is located on the left side of the square arena, and the green arrow indicates it is moving upward and slightly to the left. Given its proximity to the left wall and the steep angle of the arrow...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To begin our analysis, we observe the initial state of the environment. We have a square arena bounded by solid walls on the left, right, and bottom, while the top boundary contains five distinct rectangular holes numbered 1 through 5 from left to right. A red ball is positioned in the lower-right quadrant of the ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. Observing the initial image, the red ball is located in the lower-right quadrant of the square enclosure. A green arrow points diagonally upward and to the right, indicating the ball's initial direc...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first observe its initial state. In the provided image, the red ball is positioned in the lower-right quadrant of a square arena. A green arrow indicates its starting direction, pointing diagonally downward and to the left. Based on this vector, the ball's f...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Upon observing the initial setup, we see a red ball positioned in the central upper region of a square enclosure. At the top of this enclosure, there are three distinct rectangular openings labeled 1, 2, and 3 from left to right. A green arrow originates from the red ball, pointing diagonally toward the upper-left...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must carefully track its trajectory based on the laws of ideal reflection. Initially, we observe the red ball positioned in the upper-right quadrant of the field. A green arrow indicates it is moving diagonally downward and to the right. Based on this vector, the...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. In the provided image, the red ball is located in the lower-left quadrant of the square arena. A green arrow points diagonally upward and to the left, indicating the ball's initial direction of moti...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first observe its starting position and initial trajectory. In the original image, the red ball is located in the lower-left quadrant of the square arena. A green arrow points diagonally upward and to the left, indicating the ball's initial direction of trav...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "The initial state shows a red ball positioned in the lower-right quadrant of a square arena. A green arrow points diagonally downward and to the left, indicating the ball's starting trajectory. At the top of the arena, there are four numbered holes (1, 2, 3, and 4) separated by thin vertical lines. To predict whic...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a red ball positioned in the upper-left quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and toward the right. This arrow defines the ball's initial trajectory. Above the enclosure, there are five numbered holes, 1 through 5, arrang...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we have a red ball positioned in the upper-left quadrant of a square enclosure. A green arrow indicates the ball's starting trajectory, pointing steeply upward and slightly to the right. The top boundary of this area is divided into five distinct target zones, labeled 1 through 5 from...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. By observing the initial image, the red ball is positioned in the upper-right quadrant of the square arena. A green arrow indicates its initial direction, pointing slightly upwards and to the right....
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. In the provided image, a red ball is positioned in the center-right area of a square enclosure. A green arrow points diagonally downward and to the left, indicating the ball's initial path. By obser...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. The ball is positioned in the center-left area of the field, and the green arrow indicates a downward-left movement. Specifically, the ball starts at coordinates (3.42, 5.75) with an initial angle o...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a square arena with a red ball positioned on the left side. A green arrow points diagonally upward and to the right, indicating the ball's starting velocity. At the top of the arena, there are three numbered rectangular holes: 1, 2, and 3. Our objective is to determine which of the...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial image, we see a red ball positioned in the middle-lower section of a square enclosure. A green arrow points diagonally upward and to the right, indicating the ball's starting trajectory. At the top of the enclosure, there are three numbered holes: Hole 1 on the left, Hole 2 in the center, an...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we have a red ball positioned in the lower-right quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally toward the upper-left corner. This enclosure is bounded by solid walls on the left, right, and bottom, while the top boundary contains four dist...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first observe the initial state of the environment. The red ball is positioned in the lower-right quadrant of the square arena. A green arrow points diagonally downward and to the left, indicating the ball's starting trajectory. Above the arena, there are th...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must carefully track its trajectory based on its initial position and direction, applying the laws of ideal reflection whenever it strikes a wall. Looking at the initial image, we see a red ball located in the lower-left quadrant of a square enclosure. A green ar...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and the direction indicated by the green arrow. The ball is positioned in the middle-left area of the square enclosure. The green arrow points diagonally upward and to the left, suggesting the ball will initially travel to...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we have a red ball positioned in the upper-middle section of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the right. This arrow defines the ball's starting trajectory. Above the main enclosure, there are five numbered rectangular holes ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial image, we see a red ball positioned in the lower-right quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the right, which indicates the ball's starting trajectory. At the top of the enclosure, there are three distinct holes labeled 1, 2...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first observe its starting position and the direction indicated by the green arrow. The ball is located in the lower-right quadrant of the square arena. The green arrow points diagonally upward and to the right, suggesting an initial trajectory that will tak...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To begin our analysis, we observe the initial state of the environment. We have a red ball located in the lower-left quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the left at approximately a 135-degree angle from the positive x-axis. Above the main enclos...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. Observing the initial image, the red ball is located in the lower-right quadrant of the square enclosure. A green arrow points upwards and to the right, indicating its initial direction of motion to...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial position and velocity. The red ball is located in the lower-middle section of the square arena, and the green arrow indicates it is moving diagonally downward and to the right. Given the laws of ideal reflection, the ball will maint...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a red ball located in the lower-left quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the right. This arrow indicates the ball's initial velocity vector. At the top of the enclosure, there are five numbered rectangular holes,...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial state. The red ball is positioned in the center-left area of the square enclosure. A green arrow points diagonally downward and to the right, indicating the ball's starting trajectory. Given the rules of ideal reflection, the ball w...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial scene, we observe a red ball positioned in the upper right quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the left. This arrow defines the ball's initial trajectory. At the top of the enclosure, there are three distinct rectangular openings ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial image, we see a red ball positioned in the upper half of a square enclosure. A green arrow is attached to the ball, pointing diagonally upward and to the left. This arrow defines the ball's starting trajectory. At the top of the enclosure, there are three distinct sections labeled 1, 2, and ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial state. The red ball is located in the lower-right quadrant of the square arena. A green arrow points diagonally downwards and to the right, indicating the ball's starting trajectory. Given the rules of ideal reflection, where the an...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a red ball positioned in the lower-right quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the left, indicating its starting velocity and direction. At the top of the enclosure, there are three distinct target zones or holes, ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we observe a red ball positioned in the upper-middle section of a square enclosure. A green arrow points upwards and slightly to the right, establishing the ball's initial trajectory. At the top of the enclosure, four distinct holes are labeled 1 through 4 from left to right. To deter...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory within the square enclosure. The ball begins at a central-right position, roughly at the coordinates (4.95, 4.78). A green arrow indicates it is moving downwards and slightly to the left, at an angle...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial state and environment. The ball is located in the lower-right quadrant of the square arena. A green arrow points diagonally downwards and to the left, establishing the initial trajectory. At the top of the arena, there are four numb...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a red ball located in the lower-left quadrant of a square arena. A green arrow originates from the ball, pointing diagonally upward and to the right. This arrow defines the ball's initial trajectory. At the top of the arena, there are four distinct rectangular openings or \"holes,\...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we have a red ball located in the lower-left quadrant of a square enclosure. A green arrow indicates the ball's starting trajectory, pointing diagonally upward and to the right. At the top of the enclosure, there are three designated holes labeled 1, 2, and 3. My goal is to determine ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must carefully track its trajectory within the square enclosure, accounting for reflections off the walls. We begin by observing the initial state: a red ball is positioned in the center-left area of the frame. A green arrow points diagonally downward and to the ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial position and trajectory. Observing the starting image, the red ball is located in the upper-left quadrant of the square arena. A green arrow points diagonally downward and to the right, establishing the ball's initial direction. By ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial movement. Looking at the initial image, the red ball is located in the lower-right quadrant of the square arena. A green arrow points downward and slightly to the right, indicating the ball's initial trajectory...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze the starting conditions provided in the initial image. We see a red ball located in the lower-left quadrant of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the right. This arrow defines the ball'...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "The initial state shows a red ball positioned in the lower-left quadrant of a square arena. A green arrow points diagonally downward and to the left, indicating the ball's starting trajectory. To determine which hole the ball will eventually enter, we must trace its path, accounting for reflections off the solid b...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and the direction of its initial movement. Observing the initial image, the red ball is located in the upper right quadrant of the square arena. A green arrow points diagonally upward and to the left, indicating the ball's...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial setup, we observe a red ball located in the lower-middle section of a square enclosure. A green arrow originates from the ball, pointing diagonally upward and to the left at an angle of approximately 135 degrees. This indicates the ball's starting velocity. At the top of the enclosure, there are fou...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial image, we observe a red ball located in the lower-right quadrant of a square arena. A green arrow originates from the ball, pointing sharply upward and slightly to the right. This arrow defines the ball's initial trajectory. At the top of the arena, there are five numbered holes, 1 through 5, arrang...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we first observe its initial state. The ball is located in the upper-left quadrant of the square enclosure. A green arrow indicates its initial trajectory, pointing upwards and to the left. Based on this vector, the ball is moving toward the left wall at a steep upw...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its initial state and environment. The ball is positioned in the upper right quadrant of a square container, specifically at coordinates (5.39, 7.79). A green arrow indicates its starting trajectory, pointing downwards and slightly to the right...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "In the initial setup, we observe a red ball positioned in the right half of a square enclosure. A green arrow points from the ball toward the right wall at a shallow upward angle, approximately 20.67 degrees above the horizontal. Above the main enclosure, there are three numbered rectangular holes: Hole 1 on the l...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. The ball is located in the right half of the square enclosure, and a green arrow points upward and to the right. This indicates that the ball's first movement will be a straight line toward the righ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "Looking at the initial setup, we have a red ball positioned in the lower-right quadrant of a square enclosure. A green arrow points diagonally downward and to the right, indicating the ball's starting trajectory. The top of the enclosure features three designated holes, numbered 1, 2, and 3 from left to right. To ...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "To determine which hole the red ball will enter, we must first analyze its starting position and initial trajectory. Observing the original image, the red ball is located in the lower-left quadrant of the square arena. A green arrow points away from the ball, indicating its initial direction of motion: it is movin...
ball_tracking	Rules: 1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion; 2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1; 3. The black boundaries of the image represent solid walls. When the ball hit...	[ "The problem presents a square arena containing a red ball and several numbered holes at the top. To determine which hole the ball will enter, I first observe the initial state of the ball and its movement vector. The red ball is positioned in the lower-right quadrant of the arena. A green arrow points away from th...

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