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# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
object extraction, contact, cropping
description:
In the input, you will see several objects of the same color scattered in a grid, and a single gray pixel.
To create the output grid, you should select the object that is in contact with the gray pixel, crop it, and then output it. | 2,073 | 64 | 2,137 | concepts:
object extraction, cropping, color matching
description:
In the input, you will see several objects of the same color placed in a 10x10 grid, with one object containing a grey pixel.
To make the output grid, you should select the object that contains the grey pixel, crop it, and then output it. | To solve this problem, we need to map a given 10x10 grid to a smaller output grid by identifying the object that contains a "grey pixel" (a cell with value 5), cropping it, and returning the minimal bounding box of that object. The solution involves finding the position of the grey pixel (5), determining the color of t... | 0.625 | 0.625 | 0.6875 | 0.125 | 0.6875 | 0.332031 | concepts:
object extraction, contact, cropping
description:
In the input, you will see a grid with several colored objects and a single grey pixel.
To make the output, select the object that is in contact with the grey pixel, crop it, and then output it. | 0.1875 | 0.5 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
pattern recognition, color transformation, grid manipulation
description:
In the input, you will see a 3x3 grid with a specific pattern made of colored pixels.
To create the output grid, you should identify the pattern and replace each colored pixel in the pattern with a corresponding pixel in a new color.
T... | 1,924 | 122 | 2,046 | concepts:
color mapping, pattern extraction
description:
In the input, you will see a 3x3 grid with a pattern of colored pixels.
To make the output grid, you should extract the pattern and change each color according to the following mapping:
red -> gray, green -> yellow, blue -> pink, yellow -> green. | To solve this problem, we need to map a given 3x3 input grid to a corresponding output grid based on the number of distinct values present in the input grid. The solution involves analyzing the distinct values in the grid and then generating the output grid according to a specific pattern based on the count of these di... | 1 | 0 | 1 | 0.8125 | 1 | 0.933594 | concepts:
counting, color transformation, object detection
description:
In the input, you will see a 3x3 grid with colored objects.
To make the output, count the number of objects of each color and create a new 3x3 grid
where each row corresponds to a color: if there are 1 object, color that row in blue;
if there are ... | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
translation, alignment, color matching
description:
In the input you will see a grid containing a green object and a yellow object.
To make the output, move the green object to align with the yellow object horizontally, then place a blue object to the right of the green object. | 3,628 | 59 | 3,687 | concepts:
translation, color correspondence
description:
In the input you will see a grid with a green pixel and a yellow pixel.
To make the output, move the green pixel to the position of the yellow pixel,
and then draw a green pixel in the original position of the yellow pixel. | To solve this problem, we need to map an input grid to an output grid by moving the green pixel (value 3) one step closer to the yellow pixel (value 4) in the direction of the yellow pixel. The original position of the green pixel is then set to 0, while the yellow pixel remains in its original position.
### Approach
... | 0.9375 | 0.625 | 1 | 0.25 | 1 | 0.894531 | concepts:
translation, color manipulation
description:
In the input you will see a grid with a green pixel and a yellow pixel.
To make the output, move the green pixel one space to the right and the yellow pixel one space to the left. | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
pixel pattern generation, vertical repetition, color extraction
description:
In the input you will see a grid with a single row of colored pixels.
To make the output, generate a pattern by repeating the row vertically until the grid is filled. | 1,421 | 50 | 1,471 | concepts:
color extraction, pattern replication, grid transformation
description:
In the input, you will see a grid with a single row of colored pixels.
To make the output, create a grid where each pixel in the first row is replicated in a 2x2 block below it,
while the rest of the grid remains black. | To solve this problem, we need to create a program that maps an input grid (a single row of integers) to an output grid where each row of the input is duplicated exactly once. The examples provided clearly show that the output consists of two identical rows, each matching the input row.
### Approach
1. **Problem Analy... | 0.875 | 1.25 | 1 | 0.625 | 1 | 0.898438 | concepts:
pixel patterns, mirroring, color extraction
description:
In the input you will see a grid with a single row of colored pixels.
To make the output, mirror the row of colored pixels vertically and place it beneath the original row.
The output grid will have the same width as the input grid and will be twice as... | 0.6875 | 0.3125 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
pattern extraction, color matching, grid transformation
description:
In the input, you will see a grid with a central pattern surrounded by a border of differently-colored pixels.
The central pattern consists of a 3x3 square of pixels that can be of any color.
To create the output, you should extract the cen... | 4,667 | 107 | 4,774 | concepts:
color matching, object detection, border interaction
description:
In the input, you will see a grid with several colored objects and a colored border surrounding them.
To make the output, change the color of each object to match the color of the border that surrounds it.
If an object is not surrounded by a b... | To solve this problem, we need to map an input grid to an output grid where every cell in the output grid is filled with the value from the top-left corner of the input grid. The examples provided consistently show that the output grid is entirely composed of the first element of the first row of the input grid.
### ... | 1 | 0 | 1 | 0.3125 | 1 | 0.957031 | concepts:
pattern detection, color filling
description:
In the input, you will see a grid containing a pattern of colored pixels surrounded by a border of black pixels.
To make the output, identify the most frequently occurring color within the pattern and fill the entire grid with that color,
while keeping the border... | 0.3125 | 0.6875 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
connectivity, pathfinding
description:
In the input image, you will see a grid with a maroon pixel and several yellow pixels scattered throughout.
To create the output grid, if there is a continuous path of yellow pixels connecting the maroon pixel to any edge of the grid, output a 1x1 grid with a blue pixel... | 2,035 | 86 | 2,121 | concepts:
connectivity, path finding
description:
In the input grid, you will see a maze with a start point marked in yellow and an endpoint marked in maroon.
The task is to determine if there is a valid path from the start to the endpoint without crossing any black cells.
If such a path exists, output a 1x1 grid with... | To solve this problem, we need to determine if there exists a valid path from any start point (marked as `4`) to the endpoint (marked as `9`) in a given grid without crossing any black cells (marked as `0`). The solution involves using a breadth-first search (BFS) to explore all possible paths from the start points to ... | 0.125 | 1.25 | 0.25 | 0 | 0.25 | 0.085938 | concepts:
connectivity, pathfinding, boolean indicator
description:
In the input grid, you will see a mix of black and yellow pixels, with a single maroon pixel.
The goal is to determine if there exists a path of yellow pixels connecting the maroon pixel to the edge of the grid.
If such a path exists, output a 1x1 gri... | 0.0625 | 0.1875 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
object detection, color transformation, filling
description:
In the input, you will see a grid with several blue objects of various shapes and sizes.
To make the output, find the largest blue object and change its color to green, while keeping the rest of the grid unchanged. | 3,446 | 58 | 3,504 | concepts:
filling, object detection
description:
The input consists of a black grid containing several hollow blue rectangles.
To create the output, fill in the hollow blue rectangles with green. | To solve this problem, we need to transform an input grid into an output grid where all the `0` values are replaced with `3`, while preserving the `1` values as they are. The examples provided clearly show that every `0` in the input grid corresponds to a `3` in the output grid, and every `1` remains unchanged.
### Ap... | 1 | 0 | 1 | 0.375 | 1 | 0.9375 | concepts:
flood fill, connectivity, color transformation
description:
In the input, you will see a grid with a black background and several blue lines forming a maze-like pattern.
To make the output, fill the black regions that are separated by the blue lines with green. | 0.625 | 0.375 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
counting, color transformation, connected components
description:
In the input, you will see a grid with blue and yellow pixels scattered throughout.
To create the output, count the number of blue pixels and replace every blue pixel with a yellow pixel.
Then, if the count of blue pixels is greater than 5, ch... | 3,084 | 73 | 3,157 | concepts:
color transformation, object detection
description:
In the input, you will see a grid with various colored pixels.
The task is to find all isolated yellow objects (1x1) and change their color to red.
An isolated yellow object is defined as a yellow pixel that does not have any adjacent yellow pixels. | To solve this problem, we need to transform an input grid such that all occurrences of the number `4` are replaced with `2`, while all other numbers (0 and 1) remain unchanged. The examples provided consistently show that every `4` in the input grid is converted to `2` in the output grid, regardless of their neighborin... | 1 | 0 | 1 | 0.8125 | 1 | 0.984375 | concepts:
color transformation, object detection, adjacency
description:
In the input, you will see a grid filled with yellow and blue pixels. The yellow pixels form various shapes, while the blue pixels are scattered throughout the grid.
To create the output, you need to:
1. Identify all the yellow objects in the gri... | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
rotation, color swapping
description:
In the input, you will see a grid with a checkerboard pattern of two colors.
To make the output, rotate the pattern 180 degrees and swap the two colors. | 1,618 | 47 | 1,665 | concepts:
pattern recognition, rotation, color swapping
description:
In the input, you will see a grid containing a pattern of two colors arranged in a checkerboard style.
To make the output, rotate the pattern 90 degrees clockwise and swap the two colors. | To solve this problem, we need to transform an input grid into an output grid by rotating it 90 degrees clockwise and swapping the two colors (values) present in the checkerboard pattern. The key insight is that for a checkerboard pattern, rotating the grid 90 degrees clockwise inherently swaps the two colors.
### Ap... | 1 | 0 | 1 | 0.9375 | 1 | 0.992188 | concepts:
symmetry detection, color swapping
description:
In the input, you will see a grid with a symmetric pattern of two colors.
To make the output, swap the colors in the pattern, but only if the pattern is symmetric along both axes. | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
color propagation, grid manipulation, symmetry
description:
In the input, you will see a grid with a single colored pixel in the center and a uniform background color.
To make the output, propagate the color of the central pixel to all adjacent pixels (up, down, left, right) until it reaches the edge of the ... | 2,400 | 87 | 2,487 | concepts:
pattern generation, color matching, filling
description:
In the input, you will see a grid with a colored pixel in the center and a surrounding pattern of colors.
To make the output, you should replace the color of the surrounding pixels with the color of the central pixel.
The output grid should be the same... | To solve this problem, we need to transform an input grid into an output grid based on specific patterns observed in the provided examples. The key insight is that the output grid has the special value (the one that differs from the background) moved to the top-left corner (0,0), while the first column (except the top-... | 0.1875 | 3.125 | 0.5 | 0.0625 | 0.5625 | 0.324219 | concepts:
pattern extraction, color transformation, pixel manipulation
description:
In the input you will see a grid with a specific pattern of colored pixels.
To make the output, extract the pattern and transform the colors of the pattern:
- If the pattern is a square, change the color of the center pixel to black.
-... | 0.25 | 0.25 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
shape detection, color transformation
description:
In the input grid, you will see several shapes made up of grey pixels.
The shapes can be either triangles or rectangles.
To create the output grid, change all triangular shapes to yellow and all rectangular shapes to blue. | 5,478 | 55 | 5,533 | concepts:
shape recognition, color transformation
description:
In the input grid, you will see various shapes made of grey pixels on a black background.
To create the output grid, color all triangles blue, all squares red, and all circles yellow. | To solve this problem, we need to map an input grid to an output grid based on specific transformation rules derived from the given examples. The key observation from analyzing the examples is that all non-zero values (5s) in the input grid are transformed to 1s in the output grid, while zero values remain unchanged.
... | 0.125 | 1.25 | 0.25 | 0 | 0.3125 | 0.089844 | concepts:
color transformation, shape detection
description:
In the input, you will see a grid filled with various shapes in different colors.
The shapes can be circles, squares, or triangles, and they are colored in grey.
To create the output grid, change the color of all circular shapes to yellow,
square shapes to b... | 0 | 0.25 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
symmetry, reflection, color transformation
description:
In the input, you will see a grid with a pattern of colored pixels that exhibits reflectional symmetry (horizontal).
To make the output, reflect the pattern vertically and place the reflected pattern directly below the original pattern. | 3,802 | 56 | 3,858 | concepts:
reflection, symmetry, color mapping
description:
In the input, you will see a grid with a pattern of colored pixels.
To make the output, reflect the pattern across a vertical line in the middle of the grid.
The colors of the reflected pixels should be the same as the original pixels. | To solve this problem, we need to create a function that maps an input grid to an output grid by reflecting the input grid across a vertical line in the middle. The reflection involves reversing each row of the input grid and appending these reversed rows to the original grid.
### Approach
1. **Problem Analysis**: The... | 1 | 0 | 1 | 0.875 | 1 | 0.980469 | concepts:
symmetry, mirroring
description:
In the input, you will see a pattern of colored pixels that is symmetric along the vertical axis.
To make the output, create a mirror image of the pattern along the horizontal axis and place it beneath the original pattern. | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
pattern repetition, grid transformation
description:
In the input, you will see a 4x4 grid with a specific pattern of colors.
To make the output, repeat the pattern three times to create a 12x4 grid. | 2,591 | 51 | 2,642 | concepts:
pattern recognition, symmetry, transformation
description:
In the input, you will see a 4x4 grid containing a colored pattern.
To create the output, replicate the pattern to the right and below,
maintaining the original colors and their positions. | To solve this problem, we need to transform a given 4x4 input grid into a larger 4x20 output grid by replicating each row of the input grid in a specific pattern. The pattern involves alternating between the original row and its reverse, repeated five times per row to achieve the desired output size.
### Approach
1. *... | 0.875 | 0.625 | 0.9375 | 0.125 | 1 | 0.90625 | concepts:
pattern repetition, grid transformation
description:
In the input, you will see a 4x4 grid with a pattern of colored pixels.
To make the output, repeat the pattern horizontally and vertically to fill a larger grid of size 12x12. | 0.875 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
color transformation, pixel manipulation
description:
In the input, you will see a grid with several blue pixels. To make the output, change the color of each blue pixel to orange,
and for each blue pixel, color the adjacent pixels (up, down, left, right) to red if they are black, and to teal if they are blu... | 2,768 | 74 | 2,842 | concepts:
pixel patterns, color expansion, radial symmetry
description:
In the input, you will see a grid with several blue pixels.
To make the output, for each blue pixel, you should draw a pattern of colored pixels radiating outward in a circular manner:
1. Draw red pixels in the immediate horizontal left and right ... | To solve this problem, we need to transform an input grid into an output grid by applying specific patterns around each `1` (blue pixel) in the input. The transformation involves setting certain adjacent cells to specific values (2, 6, 7, 8) based on their relative positions to each `1`.
### Approach
1. **Initializati... | 1 | 0 | 1 | 0.9375 | 1 | 0.992188 | concepts:
pattern generation, object detection
description:
In the input you will see several blue pixels scattered across the grid.
To make the output grid, you should place a 3x3 pattern centered at each blue pixel:
the pattern consists of the following colors:
- red in the upper left,
- teal in the upper right,
- o... | 0.9375 | 0.0625 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
color extraction, pattern transformation, grid manipulation
description:
In the input, you will see a grid with a central pattern of colored pixels surrounded by a black background.
To make the output, extract the central pattern and create a new grid where the color of the central pattern is
replaced by the... | 6,643 | 76 | 6,719 | concepts:
color transformation, scaling, shape detection
description:
In the input you will see a grid with a single colored object.
To make the output, scale the object to half its size, maintaining its original color. | To solve this problem, we need to map an input grid to an output grid where the non-zero (colored) region is scaled down to half its size while maintaining its original color. The key insight is to identify the bounding box of the non-zero region in the input grid, compute the new bounding box for the output grid, and ... | 0.75 | 2.5 | 1 | 0.5 | 1 | 0.792969 | concepts:
pixel manipulation, shape transformation
description:
In the input you will see a grid with a single colored shape (a polygon) made of colored pixels.
To make the output, you should transform the shape by shrinking it by one pixel in all directions.
The output grid should maintain the same color for the tran... | 0.5625 | 0.4375 |
# ARC HINT GENERATOR
## ROLE & GOAL
You are an expert ARC (Abstraction and Reasoning Corpus) analyst. Your goal is to generate a concise, actionable hint for a user struggling with an ARC problem. You will analyze the problem, the user's incorrect attempt, and the correct solution to produce a single, targeted hint th... | concepts:
pattern recognition, color mapping
description:
In the input you will see a grid with a pattern of colored pixels.
The colors correspond to specific shapes: red for circles, blue for squares, green for triangles, and yellow for stars.
To create the output grid, you should replace each shape with its correspo... | 1,700 | 84 | 1,784 | concepts:
color mapping, symmetry, grid transformation
description:
In the input, you will see a grid with a symmetrical pattern of colored squares.
The colors of the squares are arranged in a specific pattern.
To make the output, you should change the color of each square according to the following mapping:
red -> pi... | To solve this problem, we need to map each integer in the input grid to a corresponding integer based on a specific transformation rule. The key observation from the provided examples is that each integer in the input grid (1, 2, 3, 4) maps to a unique integer in the output grid (5, 6, 4, 3 respectively). The solution ... | 1 | 0 | 1 | 0.5 | 1 | 0.902344 | concepts:
color mapping, grid transformation
description:
In the input you will see a grid divided into four quadrants, each filled with a single color.
To make the output, change each color according to the following mapping:
red -> pink, green -> yellow, blue -> gray, yellow -> green. | 0.9375 | 0.0625 |
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